From e860a427d3056e2f58e0a0123856454478a3347c Mon Sep 17 00:00:00 2001 From: Jaron Kent-Dobias Date: Sun, 24 May 2020 10:58:23 -0400 Subject: First commit. --- complicated_matching-laptop.nb | 41872 +++++++++++++++++++++++++++++++++++++++ 1 file changed, 41872 insertions(+) create mode 100644 complicated_matching-laptop.nb (limited to 'complicated_matching-laptop.nb') diff --git a/complicated_matching-laptop.nb b/complicated_matching-laptop.nb new file mode 100644 index 0000000..25af68a --- /dev/null +++ b/complicated_matching-laptop.nb @@ -0,0 +1,41872 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='WolframEngine 11.0' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 160, 7] +NotebookDataLength[ 2158027, 41864] +NotebookOptionsPosition[ 2132680, 41496] +NotebookOutlinePosition[ 2133092, 41513] +CellTagsIndexPosition[ 2133049, 41510] +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[BoxData[ + RowBox[{ + RowBox[{"(*", " ", + RowBox[{ + RowBox[{ + "Constants", " ", "fixed", " ", "for", " ", "the", " ", "2", "D", " ", + "square"}], "-", + RowBox[{"lattice", " ", "Ising", " ", "model"}]}], " ", "*)"}], + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[CapitalDelta]", ":=", + RowBox[{"15", "/", "8"}]}], "\[IndentingNewLine]", + RowBox[{"\[Gamma]", ":=", + RowBox[{"7", "/", "4"}]}], "\[IndentingNewLine]", + RowBox[{"\[Beta]", ":=", + RowBox[{"1", "/", "8"}]}], "\[IndentingNewLine]", + RowBox[{"\[ScriptCapitalM]0", ":=", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["2", + RowBox[{"5", "/", "2"}]], + RowBox[{"ArcSinh", "[", "1", "]"}]}], ")"}], "\[Beta]"]}], + "\[IndentingNewLine]", + RowBox[{"Tc", ":=", + RowBox[{"2", "/", + RowBox[{"Log", "[", + RowBox[{"1", "+", + RowBox[{"Sqrt", "[", "2", "]"}]}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{"B", ":=", + RowBox[{"2", + SuperscriptBox["Tc", "2"], + RowBox[{"\[ScriptCapitalM]0", "/", + RowBox[{"(", + RowBox[{"16", " ", "\[Pi]"}], ")"}]}]}]}]}]}]], "Input", + CellChangeTimes->{{3.7138208469838247`*^9, 3.713820849646833*^9}, { + 3.71383052920462*^9, 3.7138305296005993`*^9}, {3.7142151732571373`*^9, + 3.7142152150054703`*^9}, 3.799283952019582*^9}, + CellLabel-> + "In[1709]:=",ExpressionUUID->"e6bac00b-67c3-4bac-913c-1c6897ee0a6e"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"data", "=", + RowBox[{ + "Import", "[", + "\"\<~/doc/research/first_order_singularities/paper/data/data_square-4096.\ +dat\>\"", "]"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"t", "[", "Tc_", "]"}], "[", "T_", "]"}], ":=", + RowBox[{"Abs", "[", + FractionBox[ + RowBox[{"T", "-", "Tc"}], "T"], "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"assData", "=", + RowBox[{ + RowBox[{ + RowBox[{"Thread", "[", + RowBox[{"Rule", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + "\"\\"", ",", "\"\\"", ",", "\"\\"", ",", "\"\\"", + ",", "\"\<\[Delta]E\>\"", ",", "\"\\"", ",", + "\"\<\[Delta]M\>\"", ",", "\"\\"", ",", "\"\<\[Delta]C\>\"", + ",", "\"\<\[Chi]\>\"", ",", "\"\<\[Delta]\[Chi]\>\""}], "}"}], ",", + "#"}], "]"}], "]"}], "&"}], "/@", "data"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"sus", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\"\\"", "/", "\"\\""}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"t", "[", "Tc", "]"}], "[", "\"\\"", "]"}], ")"}], + RowBox[{"-", "\[CapitalDelta]"}]]}], ",", + RowBox[{"\"\\"", "\"\<\[Chi]\>\"", " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"t", "[", "Tc", "]"}], "[", "\"\\"", "]"}], ")"}], + "\[Gamma]"]}]}], "}"}], "/.", "#"}], "&"}], "/@", "assData"}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"mag", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\"\\"", "/", "\"\\""}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"t", "[", "Tc", "]"}], "[", "\"\\"", "]"}], ")"}], + RowBox[{"-", "\[CapitalDelta]"}]]}], ",", + RowBox[{"\"\\"", " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"t", "[", "Tc", "]"}], "[", "\"\\"", "]"}], ")"}], + RowBox[{"-", "\[Beta]"}]]}]}], "}"}], "/.", "#"}], "&"}], "/@", + "assData"}]}], ";"}]}], "Input", + CellChangeTimes->CompressedData[" +1:eJwd0Vsog3EYBvDPNmmIkEPOQ0kWcpxD+IooC82mNkTkUFZSFDWUckiL3ZDR +kMMFvinWuBhDuRClluWQU1aGPlOKbBeW9/1fPP2un+cRNHdJWjkURQkgqLNm ++Dd7jqUZjc6FRjuKTVLQqizeRxMsyzMyUKDQatGRp5ROOZhZ5qNExWt+Ky1g +g6WJmLYdWbYOSqvjiA+rp5xNMNXrgugul/J3waN2OfGc4zL9gbW6P6KofvQY +5RqmiW67S8SdZ+mhu75c9DLYz4BSwlficuttDg9UNytEaN0sP88ftMX25qOB +dl5HENjPzepEd4Mk16FogZzo+xMeOgGeqd+Jbt2JRqRj6b6SK6LRp0e1A2q2 +pgZRe5ujSrHA0s4QeTW6N2Du/gBH1c/Ez4Put8ZFlk4pHCeuZtjM6yDz4n2I +fiXzbiyg1aOD6Jwsf0BVNiVRPJmxULsB/RKriHrDfYmEYemuKHUpGsZ+V6Cy +MUqMlgYsLjWBj/n3K2hmvX+ETA8/CHujUeEVozeCKu0JkZfkYOq2YEfPCT1a +lGSMmar8oNMV5nj0H3HgFKo= + "], + CellLabel-> + "In[1726]:=",ExpressionUUID->"9c43836c-5224-4a7f-b325-f696ee8f0277"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"(*", " ", + RowBox[{"Constants", " ", "from", " ", "Mangazeev", " ", "et", " ", "al"}], + " ", "*)"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Ch", ":=", "0.838677624411"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Ghs", "=", + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"-", "1.8452280782328"}], ",", "0", ",", "8.333711750", ",", + "0", ",", + RowBox[{"-", "95.16896"}], ",", "0", ",", "1457.62", ",", "0", ",", + RowBox[{"-", "25891"}]}], "}"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Gls", ":=", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1.3578383417066"}], ",", + RowBox[{"-", "0.048953289720"}], ",", "0.038863932", ",", + RowBox[{"-", "0.068362119"}], ",", "0.18388370", ",", + RowBox[{"-", "0.6591714"}], ",", "2.937665", ",", + RowBox[{"-", "15.61"}]}], "}"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[CapitalPhi]s", ":=", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1.197733383797993"}], ",", + RowBox[{"-", "0.318810124891"}], ",", "0.110886196683", ",", + "0.01642689465", ",", + RowBox[{ + RowBox[{"-", "2.639978"}], " ", + SuperscriptBox["10", + RowBox[{"-", "4"}]]}], ",", + RowBox[{ + RowBox[{"-", "5.140526"}], " ", + SuperscriptBox["10", + RowBox[{"-", "4"}]]}], ",", + RowBox[{"2.08856", " ", + SuperscriptBox["10", + RowBox[{"-", "4"}]]}], ",", + RowBox[{ + RowBox[{"-", "4.4819"}], " ", + SuperscriptBox["10", + RowBox[{"-", "5"}]]}]}], "}"}]}], ";"}]}]}]], "Input", + CellChangeTimes->{{3.7138205795305033`*^9, 3.7138206989795027`*^9}, { + 3.713820827348529*^9, 3.713820828782114*^9}, {3.713827929572274*^9, + 3.713827986846939*^9}, {3.7142152230668917`*^9, 3.714215230978198*^9}, { + 3.714215445969676*^9, 3.7142154491835117`*^9}, {3.714991936432271*^9, + 3.7149919589318943`*^9}, 3.714994551465583*^9, {3.714994633238303*^9, + 3.71499463351786*^9}}, + CellLabel-> + "In[1731]:=",ExpressionUUID->"45775c0c-7c10-488f-a001-49135ad61e03"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"(*", " ", + RowBox[{ + "Parametric", " ", "variables", " ", "from", " ", "Caselle", " ", "et", + " ", "al"}], " ", "*)"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"hCas", "[", "\[Theta]_", "]"}], ":=", + RowBox[{ + RowBox[{"(", + RowBox[{"\[Theta]", "\[Minus]", + RowBox[{ + SuperscriptBox["\[Theta]", "3"], "/", "1.16951"}]}], ")"}], + RowBox[{"(", + RowBox[{"1", "\[Minus]", + RowBox[{"0.222389", + SuperscriptBox["\[Theta]", "2"]}], "\[Minus]", + RowBox[{"0.043547", + SuperscriptBox["\[Theta]", "4"]}], "\[Minus]", + RowBox[{"0.014809", + SuperscriptBox["\[Theta]", "6"]}], "\[Minus]", + RowBox[{"0.007168", + SuperscriptBox["\[Theta]", "8"]}]}], ")"}]}]}], "\n", + RowBox[{"h0Cas", ":=", "0.940647"}], "\[IndentingNewLine]", + RowBox[{"\[Theta]cCas", ":=", "1.08144"}]}]}]], "Input", + CellChangeTimes->{{3.713827424592308*^9, 3.7138274262122507`*^9}, { + 3.714215462172913*^9, 3.714215488819463*^9}}, + CellLabel-> + "In[1735]:=",ExpressionUUID->"0ed872c5-6e9e-45b4-ad9c-dc67f0919064"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"(*", " ", + RowBox[{ + "Translation", " ", "between", " ", "the", " ", "variables", " ", "of", + " ", "Mangazeev", " ", "et", " ", "al", " ", "and", " ", "our", " ", + "own"}], " ", "*)"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"G2C", "[", + RowBox[{"G_", ",", "n_"}], "]"}], ":=", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"2", + RowBox[{"ArcSinh", "[", "1", "]"}]}], ")"}], "2"], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"Ch", " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"2", + RowBox[{"ArcSinh", "[", "1", "]"}]}], ")"}], + RowBox[{"-", "\[CapitalDelta]"}]]}], ")"}], "n"], "G"}]}], + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gs_", "]"}], ":=", + RowBox[{"MapIndexed", "[", + RowBox[{ + RowBox[{ + RowBox[{"G2C", "[", + RowBox[{"#1", ",", + RowBox[{"#2", "[", + RowBox[{"[", "1", "]"}], "]"}]}], "]"}], "&"}], ",", "Gs"}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[CapitalPhi]2C", "[", + RowBox[{"\[CapitalPhi]_", ",", "n_"}], "]"}], ":=", + RowBox[{ + SuperscriptBox["Ch", + RowBox[{"2", "/", "\[CapitalDelta]"}]], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"-", "2"}], + RowBox[{"ArcSinh", "[", "1", "]"}], + SuperscriptBox["Ch", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[CapitalDelta]"}]]}], ")"}], "n"], + "\[CapitalPhi]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[CapitalPhi]s2Cs", "[", "Gs_", "]"}], ":=", + RowBox[{"MapIndexed", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[CapitalPhi]2C", "[", + RowBox[{"#1", ",", + RowBox[{ + RowBox[{"#2", "[", + RowBox[{"[", "1", "]"}], "]"}], "-", "1"}]}], "]"}], "&"}], ",", + "Gs"}], "]"}]}]}]}]], "Input", + CellChangeTimes->{{3.713827868779071*^9, 3.713827879618968*^9}, { + 3.71421549365316*^9, 3.714215517441435*^9}, {3.714954898310052*^9, + 3.714954900421039*^9}, {3.7149918381457376`*^9, 3.714991877261487*^9}, + 3.715359927206863*^9}, + CellLabel-> + "In[1738]:=",ExpressionUUID->"e5fe4a94-4de5-4e0b-bd35-c8af6a1467d4"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"(*", " ", + RowBox[{ + "Set", " ", "the", " ", "rules", " ", "for", " ", "expansion", " ", + "coefficients"}], " ", "*)"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"ClearAll", "[", "Gl", "]"}], ";", + RowBox[{"ClearAll", "[", "Gh", "]"}], ";", + RowBox[{"ClearAll", "[", "\[CapitalPhi]", "]"}], ";"}], + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Thread", "[", + RowBox[{"SetDelayed", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{"Gl", "/@", + RowBox[{"Range", "[", + RowBox[{"Length", "[", "Gls", "]"}], "]"}]}], "]"}], ",", + RowBox[{"Evaluate", "[", + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "]"}]}], "]"}], "]"}], ";"}], + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Thread", "[", + RowBox[{"SetDelayed", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{"Gh", "/@", + RowBox[{"Range", "[", + RowBox[{"Length", "[", "Ghs", "]"}], "]"}]}], "]"}], ",", + RowBox[{"Evaluate", "[", + RowBox[{"Gs2Cs", "[", "Ghs", "]"}], "]"}]}], "]"}], "]"}], ";"}], + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"Thread", "[", + RowBox[{"SetDelayed", "[", + RowBox[{ + RowBox[{"Evaluate", "[", + RowBox[{"\[CapitalPhi]", "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", + RowBox[{"Length", "[", "\[CapitalPhi]s", "]"}], "]"}], "-", "1"}], + ")"}]}], "]"}], ",", + RowBox[{"Evaluate", "[", + RowBox[{"\[CapitalPhi]s2Cs", "[", "\[CapitalPhi]s", "]"}], "]"}]}], + "]"}], "]"}], ";"}]}]}]], "Input", + CellChangeTimes->{{3.713827899563285*^9, 3.713827910207541*^9}, { + 3.713828180184713*^9, 3.713828181056987*^9}, {3.71382826859536*^9, + 3.713828438887127*^9}, {3.713828681601102*^9, 3.713828682285378*^9}, { + 3.714215528007637*^9, 3.714215554531211*^9}}, + CellLabel-> + "In[1742]:=",ExpressionUUID->"7570c839-807a-4012-9e23-8ff338ddd7c7"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Gh", "[", "2", "]"}]], "Input", + CellChangeTimes->{{3.7992866591919527`*^9, 3.7992866865479507`*^9}}, + CellLabel-> + "In[1837]:=",ExpressionUUID->"2f35a845-1d68-4a92-afc0-047dc25d0b20"], + +Cell[BoxData[ + RowBox[{"-", "0.4812908661543487`"}]], "Output", + CellChangeTimes->{{3.799286663008872*^9, 3.799286687494315*^9}}, + CellLabel-> + "Out[1837]=",ExpressionUUID->"906f0aa8-617a-415a-8a4c-3bee9f6d36e1"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{"A_", ",", "B_"}], "]"}], "[", "X_", "]"}], ":=", + RowBox[{"With", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Y", "=", + RowBox[{"B", " ", "X"}]}], "}"}], ",", + RowBox[{ + FractionBox[ + RowBox[{"A", " ", + SuperscriptBox["B", "2"]}], + RowBox[{"\[Pi]", " ", + SuperscriptBox["Y", "3"]}]], + RowBox[{"(", + RowBox[{ + RowBox[{"Y", + RowBox[{"(", + RowBox[{"Y", "-", "1"}], ")"}]}], "-", + RowBox[{ + RowBox[{"Exp", "[", + RowBox[{"1", "/", "Y"}], "]"}], + RowBox[{"ExpIntegralEi", "[", + RowBox[{ + RowBox[{"-", "1"}], "/", "Y"}], "]"}]}]}], ")"}]}]}], + "]"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{ + "A_", ",", "B_", ",", "h0_", ",", "\[Theta]c_", ",", "f_", ",", "Y_"}], + "]"}], "[", "\[Theta]_", "]"}], ":=", + RowBox[{"With", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"x", "=", + RowBox[{"h0", + RowBox[{ + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"f", "'"}], "[", "\[Theta]c", "]"}]}], ")"}], "/", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + "\[CapitalDelta]"]}]}]}], "}"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{"A", ",", + RowBox[{"x", " ", "B"}]}], "]"}], "[", + RowBox[{"\[Theta]c", "-", "\[Theta]"}], "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{"A", ",", + RowBox[{"x", " ", "B"}]}], "]"}], "[", + RowBox[{"\[Theta]c", "+", "\[Theta]"}], "]"}], "+", + RowBox[{"Y", "[", "\[Theta]", "]"}]}]}], "]"}]}]}], "Input", + CellChangeTimes->{{3.7137426355623283`*^9, 3.7137426748143682`*^9}, { + 3.713820234746537*^9, 3.713820234907667*^9}, {3.71382954948748*^9, + 3.7138296286438417`*^9}, {3.7138301362282963`*^9, + 3.7138301409742393`*^9}, {3.7141305735352287`*^9, 3.71413057942507*^9}, { + 3.714135925852996*^9, 3.714135926803893*^9}, {3.714216015818424*^9, + 3.714216238944624*^9}, {3.7142207025577583`*^9, 3.7142207094779654`*^9}, { + 3.714220765222074*^9, 3.714220770066435*^9}, {3.714222008504428*^9, + 3.714222010033806*^9}, 3.71422204219378*^9, {3.714222105876944*^9, + 3.714222109881908*^9}, {3.714225332820817*^9, 3.714225334019672*^9}, { + 3.714225512883287*^9, 3.7142255430785437`*^9}, {3.714225695904489*^9, + 3.7142256973223457`*^9}, {3.714226473306075*^9, 3.71422648549111*^9}, { + 3.714226658931271*^9, 3.714226660859518*^9}, {3.71422744643642*^9, + 3.714227493684457*^9}, {3.714227859801319*^9, 3.714227890893012*^9}, { + 3.714308861348337*^9, 3.714308863252451*^9}, {3.714309917698491*^9, + 3.7143099187355633`*^9}, {3.715719062965391*^9, 3.7157190654609413`*^9}}, + CellLabel-> + "In[1746]:=",ExpressionUUID->"f3040e31-b6c6-4913-92b4-ba715c77419b"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{"A_", ",", "B_"}], "]"}], "[", "n_", "]"}], ":=", + RowBox[{ + FractionBox["A", "\[Pi]"], " ", + SuperscriptBox["B", + RowBox[{"2", "+", "n"}]], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"-", "1"}], ")"}], "n"], " ", " ", + RowBox[{"Gamma", "[", + RowBox[{"n", "+", "3"}], "]"}]}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]fseries", "[", + RowBox[{ + "A_", ",", "B_", ",", "h0_", ",", "\[Theta]c_", ",", "f_", ",", "Y_"}], + "]"}], "[", "n_", "]"}], ":=", + RowBox[{"With", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"x", "=", + RowBox[{"h0", + RowBox[{ + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"f", "'"}], "[", "\[Theta]c", "]"}]}], ")"}], "/", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + "\[CapitalDelta]"]}]}]}], "}"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"-", "1"}], ")"}], "n"], + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{"A", ",", + RowBox[{"x", " ", "B"}]}], "]"}], "[", "n", "]"}]}], "+", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{"A", ",", + RowBox[{"x", " ", "B"}]}], "]"}], "[", + RowBox[{"\[Theta]c", "+", "\[Theta]"}], "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "\[Theta]c", ",", "n"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]", "<", "\[Theta]c"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"f", "'"}], "[", "\[Theta]c", "]"}], "<", "0"}], ",", + RowBox[{"\[Theta]c", ">", "1"}], ",", + RowBox[{"B", ">", "0"}]}], "}"}]}]}], "]"}], "+", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{"Y", "[", "\[Theta]", "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "\[Theta]c", ",", "n"}], "}"}]}], "]"}]}]}], + "]"}]}]}], "Input", + CellChangeTimes->{{3.7138296581714573`*^9, 3.713829668897043*^9}, { + 3.714216282324894*^9, 3.71421631629377*^9}, {3.714216406562893*^9, + 3.714216407106579*^9}, {3.714216493489238*^9, 3.714216495003374*^9}, { + 3.714216957160618*^9, 3.7142169586640577`*^9}, {3.714220514613604*^9, + 3.714220516363096*^9}, {3.714220562215344*^9, 3.714220567084944*^9}, { + 3.714220621206888*^9, 3.714220623255495*^9}, {3.714220659529737*^9, + 3.7142206915448503`*^9}, {3.7142207580076*^9, 3.714220760391014*^9}, { + 3.714221997768456*^9, 3.714222001894022*^9}, 3.714222038869793*^9, { + 3.7142221234176073`*^9, 3.714222127286632*^9}, {3.714222408524426*^9, + 3.7142224257214403`*^9}, {3.7142253359951*^9, 3.7142253369214163`*^9}, { + 3.7142255474140453`*^9, 3.714225552328629*^9}, {3.71422569985991*^9, + 3.714225702239896*^9}, {3.714226457371253*^9, 3.7142264701915903`*^9}, { + 3.714226649819853*^9, 3.7142266556523438`*^9}, {3.7142275062267427`*^9, + 3.71422753824463*^9}, {3.714227821773532*^9, 3.714227853822549*^9}, { + 3.714308832227326*^9, 3.714308854627388*^9}, {3.71430992385946*^9, + 3.714309936004583*^9}, {3.715719069142599*^9, 3.7157190767737007`*^9}}, + CellLabel-> + "In[1748]:=",ExpressionUUID->"496eca64-4a2e-4f3c-b144-ea4b47c003ae"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c_", ",", "a_", ",", "N_"}], "]"}], "[", "\[Theta]_", + "]"}], ":=", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["\[Theta]", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "\[Theta]", " ", + RowBox[{"Sum", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], + SuperscriptBox["\[Theta]", + RowBox[{"2", "n"}]]}], ",", + RowBox[{"{", + RowBox[{"n", ",", "0", ",", "N"}], "}"}]}], + "]"}]}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"YY", "[", + RowBox[{"a_", ",", "\[Lambda]_", ",", "N_"}], "]"}], "[", "\[Theta]_", + "]"}], ":=", + RowBox[{"Sum", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], + SuperscriptBox["\[Theta]", + RowBox[{"2", "n"}]], + RowBox[{"Exp", "[", + RowBox[{ + RowBox[{"-", "\[Lambda]"}], " ", + SuperscriptBox["\[Theta]", "2"]}], "]"}]}], ",", + RowBox[{"{", + RowBox[{"n", ",", "0", ",", "N"}], "}"}]}], "]"}]}]}], "Input", + CellChangeTimes->{{3.713819190380546*^9, 3.713819190896842*^9}, + 3.713819260499408*^9, {3.713819290861274*^9, 3.713819356919717*^9}, { + 3.713819648160975*^9, 3.713819710244134*^9}, {3.713819845919544*^9, + 3.713819847441774*^9}, {3.713819902140151*^9, 3.7138199025005493`*^9}, { + 3.713819942289647*^9, 3.7138199425167418`*^9}, {3.713819973169775*^9, + 3.713820057727282*^9}, 3.7138201025878477`*^9, {3.713820148943947*^9, + 3.7138201499010763`*^9}, {3.7138276879408207`*^9, 3.713827743698628*^9}, { + 3.713829466133606*^9, 3.713829467045795*^9}, {3.714216516733247*^9, + 3.71421653223547*^9}, {3.7148313145378532`*^9, 3.714831366113224*^9}, { + 3.714833366883547*^9, 3.714833368025641*^9}, {3.714838905090252*^9, + 3.71483891316218*^9}, {3.7148389441709414`*^9, 3.714838966882984*^9}}, + CellLabel-> + "In[1750]:=",ExpressionUUID->"4907121b-0e75-4af6-bb69-7dbbfe7dd69e"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{ + RowBox[{"F1", "[", "G_", "]"}], "[", + RowBox[{"t_", ",", "h_"}], "]"}], ":=", + RowBox[{ + SuperscriptBox[ + RowBox[{"Abs", "[", "t", "]"}], "2"], + RowBox[{"G", "[", + RowBox[{"h", " ", + SuperscriptBox[ + RowBox[{"Abs", "[", "t", "]"}], + RowBox[{"-", "\[CapitalDelta]"}]]}], "]"}]}]}], "\n", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"F2", "[", + RowBox[{"tc_", ",", "hc_", ",", "\[CapitalDelta]_"}], "]"}], "[", + "\[CapitalPhi]_", "]"}], "[", + RowBox[{"t_", ",", "h_"}], "]"}], ":=", + RowBox[{ + SuperscriptBox["h", + RowBox[{"2", "/", "\[CapitalDelta]"}]], + RowBox[{"With", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Eta]", "=", + RowBox[{"tc", " ", "t", " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"hc", " ", "h"}], ")"}], + RowBox[{ + RowBox[{"-", "1"}], "/", "\[CapitalDelta]"}]]}]}], "}"}], ",", + RowBox[{ + RowBox[{"\[CapitalPhi]", "[", + RowBox[{"t", " ", + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[CapitalDelta]"}]]}], "]"}], "-", + RowBox[{ + FractionBox[ + SuperscriptBox["\[Eta]", "2"], + RowBox[{"8", "\[Pi]"}]], + RowBox[{"Log", "[", + SuperscriptBox["\[Eta]", "2"], "]"}]}]}]}], "]"}]}]}]}], "Input", + CellChangeTimes->{{3.714216533397884*^9, 3.714216534509766*^9}, { + 3.714992630182323*^9, 3.714992639533628*^9}, {3.7156798761100492`*^9, + 3.715679881342327*^9}, {3.715679930887027*^9, 3.715680028928712*^9}}, + CellLabel-> + "In[1752]:=",ExpressionUUID->"20f19d40-8f71-46f8-a318-a0585168eb29"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"dF2", "[", + RowBox[{"tc_", ",", "hc_", ",", "\[Delta]_"}], "]"}], "[", "\[Phi]_", + "]"}], "[", + RowBox[{"t_", ",", "h_"}], "]"}], ":=", + RowBox[{ + FractionBox["1", + RowBox[{"4", " ", + SuperscriptBox["h", "2"], " ", + SuperscriptBox["\[Delta]", "2"]}]], + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "8"}], " ", + SuperscriptBox["h", + RowBox[{"2", "/", "\[Delta]"}]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "2"}], "+", "\[Delta]"}], ")"}], " ", + RowBox[{"\[Phi]", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Delta]"}]], " ", "t"}], "]"}]}], "+", + RowBox[{"t", " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox["h", + RowBox[{"2", "/", "\[Delta]"}]], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"h", " ", "hc"}], ")"}], + RowBox[{ + RowBox[{"-", "2"}], "/", "\[Delta]"}]], " ", "t", " ", + SuperscriptBox["tc", "2"], " ", "\[Delta]"}], "\[Pi]"]}], "+", + RowBox[{"4", " ", + SuperscriptBox["h", + FractionBox["1", "\[Delta]"]], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "3"}], "+", "\[Delta]"}], ")"}], " ", + RowBox[{ + SuperscriptBox["\[Phi]", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Delta]"}]], " ", "t"}], "]"}]}], "+", + RowBox[{"4", " ", "t", " ", + RowBox[{ + SuperscriptBox["\[Phi]", "\[Prime]\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Delta]"}]], " ", "t"}], "]"}]}]}], + ")"}]}]}], ")"}]}]}]], "Input", + CellChangeTimes->{{3.715680224930174*^9, 3.7156802402967567`*^9}}, + CellLabel-> + "In[1754]:=",ExpressionUUID->"db65edd1-472b-4b73-a7f9-77eb2361c348"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"coeff", "[", + RowBox[{ + RowBox[{"F_", "[", "\[ScriptCapitalF]_", "]"}], ",", "R_", ",", "h0_", + ",", "f_", ",", "\[Theta]0_", ",", + RowBox[{"ass_", ":", + RowBox[{"{", "}"}]}]}], "]"}], "[", "n_", "]"}], ":=", + RowBox[{ + RowBox[{ + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{"-", + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", + RowBox[{"0", ",", "2"}], "]"}], "[", + RowBox[{"F", "[", "\[ScriptCapitalF]", "]"}], "]"}], "[", + RowBox[{ + RowBox[{"R", + RowBox[{"(", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], ")"}]}], ",", + RowBox[{"h0", " ", + SuperscriptBox["R", "\[CapitalDelta]"], + RowBox[{"f", "[", "\[Theta]", "]"}]}]}], "]"}]}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "\[Theta]0", ",", "n"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"R", ">", "0"}], ",", + RowBox[{"\[Theta]", ">", "0"}], ",", + RowBox[{"\[Theta]c", ">", "1"}], ",", + RowBox[{"\[Theta]", "<", "\[Theta]c"}]}], "}"}], ",", "ass"}], + "]"}]}]}], "]"}], "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"f", "[", "0", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "f", "]"}], "[", "0", + "]"}], "\[RuleDelayed]", + RowBox[{"0", "/;", + RowBox[{"EvenQ", "[", "m", "]"}]}]}], ",", + RowBox[{ + RowBox[{"f", "[", "\[Theta]c", "]"}], "\[Rule]", "0"}]}], "}"}]}], "/.", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "\[ScriptCapitalF]", "]"}], + "[", "0", "]"}], "\[RuleDelayed]", + RowBox[{ + RowBox[{"m", "!"}], + RowBox[{"\[ScriptCapitalF]", "[", "m", "]"}]}]}]}]}]], "Input", + CellChangeTimes->{{3.713804490404098*^9, 3.713804575731625*^9}, { + 3.713804617059729*^9, 3.713804802262732*^9}, {3.713805086437069*^9, + 3.713805087761485*^9}, {3.713805360047653*^9, 3.7138054175525007`*^9}, { + 3.7138055032059917`*^9, 3.7138055066345863`*^9}, {3.7138055455373096`*^9, + 3.713805547201209*^9}, {3.71380560417803*^9, 3.713805605069154*^9}, { + 3.713805641936936*^9, 3.713805644083353*^9}, {3.713805677768579*^9, + 3.7138056794005527`*^9}, {3.713805797365593*^9, 3.713805804323051*^9}, { + 3.7138058557084503`*^9, 3.713805917862014*^9}, {3.7138059745918617`*^9, + 3.713805981692251*^9}, {3.713806052016163*^9, 3.713806135527362*^9}, + 3.7138303636972713`*^9, {3.71422851067774*^9, 3.714228510951538*^9}, { + 3.714235902144133*^9, 3.714235903653194*^9}}, + CellLabel-> + "In[1755]:=",ExpressionUUID->"f62be0c7-6e67-48ef-9e37-a9f76da76902"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"dcoeff", "[", + RowBox[{ + RowBox[{"dF_", "[", "\[ScriptCapitalF]_", "]"}], ",", "R_", ",", "h0_", + ",", "f_", ",", "\[Theta]0_", ",", + RowBox[{"ass_", ":", + RowBox[{"{", "}"}]}]}], "]"}], "[", "n_", "]"}], ":=", + RowBox[{ + RowBox[{ + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{"-", + RowBox[{ + RowBox[{"dF", "[", "\[ScriptCapitalF]", "]"}], "[", + RowBox[{ + RowBox[{"R", + RowBox[{"(", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], ")"}]}], ",", + RowBox[{"h0", " ", + SuperscriptBox["R", "\[CapitalDelta]"], + RowBox[{"f", "[", "\[Theta]", "]"}]}]}], "]"}]}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "\[Theta]0", ",", "n"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"R", ">", "0"}], ",", + RowBox[{"\[Theta]", ">", "0"}], ",", + RowBox[{"\[Theta]c", ">", "1"}], ",", + RowBox[{"\[Theta]", "<", "\[Theta]c"}]}], "}"}], ",", "ass"}], + "]"}]}]}], "]"}], "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"f", "[", "0", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "f", "]"}], "[", "0", + "]"}], "\[RuleDelayed]", + RowBox[{"0", "/;", + RowBox[{"EvenQ", "[", "m", "]"}]}]}], ",", + RowBox[{ + RowBox[{"f", "[", "\[Theta]c", "]"}], "\[Rule]", "0"}]}], "}"}]}], "/.", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "\[ScriptCapitalF]", "]"}], + "[", "0", "]"}], "\[RuleDelayed]", + RowBox[{ + RowBox[{"m", "!"}], + RowBox[{"\[ScriptCapitalF]", "[", "m", "]"}]}]}]}]}]], "Input", + CellChangeTimes->{{3.713804490404098*^9, 3.713804575731625*^9}, { + 3.713804617059729*^9, 3.713804802262732*^9}, {3.713805086437069*^9, + 3.713805087761485*^9}, {3.713805360047653*^9, 3.7138054175525007`*^9}, { + 3.7138055032059917`*^9, 3.7138055066345863`*^9}, {3.7138055455373096`*^9, + 3.713805547201209*^9}, {3.71380560417803*^9, 3.713805605069154*^9}, { + 3.713805641936936*^9, 3.713805644083353*^9}, {3.713805677768579*^9, + 3.7138056794005527`*^9}, {3.713805797365593*^9, 3.713805804323051*^9}, { + 3.7138058557084503`*^9, 3.713805917862014*^9}, {3.7138059745918617`*^9, + 3.713805981692251*^9}, {3.713806052016163*^9, 3.713806135527362*^9}, + 3.7138303636972713`*^9, {3.71422851067774*^9, 3.714228510951538*^9}, { + 3.714235902144133*^9, 3.714235903653194*^9}, {3.71568026174824*^9, + 3.715680271588414*^9}, 3.715680326295926*^9}, + CellLabel-> + "In[1756]:=",ExpressionUUID->"085daa7e-fd8a-42b9-b848-b248e2682563"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"eql", "[", + RowBox[{"n_", ",", "m_", ",", "r_"}], "]"}], ":=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"coeff", "[", + RowBox[{ + RowBox[{"F1", "[", "Gl", "]"}], ",", "1", ",", "h0", ",", "f", ",", + "\[Theta]c", ",", + RowBox[{"{", + RowBox[{"\[Theta]", ">", "1"}], "}"}]}], "]"}], "[", "n", "]"}], + "\[Equal]", + RowBox[{ + RowBox[{"\[ScriptCapitalY]fseries", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", "f", ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "r"}], "]"}]}], "]"}], "[", "n", + "]"}]}], ")"}], "/.", + RowBox[{"f", "\[Rule]", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "m"}], + "]"}]}]}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eqh", "[", + RowBox[{"n_", ",", "m_", ",", "r_"}], "]"}], ":=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"coeff", "[", + RowBox[{ + RowBox[{"F1", "[", "Gh", "]"}], ",", "1", ",", "h0", ",", "f", ",", + "0", ",", + RowBox[{"{", + RowBox[{"\[Theta]", "<", "1"}], "}"}]}], "]"}], "[", "n", "]"}], + "\[Equal]", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", "f", ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "r"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", "n"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]", ">", "0"}], ",", + RowBox[{"h0", ">", "0"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"f", "'"}], "[", "0", "]"}], ">", "0"}]}], "}"}]}]}], + "]"}]}], "/.", + RowBox[{"f", "\[Rule]", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "m"}], + "]"}]}]}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eqm", "[", + RowBox[{"n_", ",", "m_", ",", "r_"}], "]"}], ":=", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"dcoeff", "[", + RowBox[{ + RowBox[{ + RowBox[{"dF2", "[", + RowBox[{ + RowBox[{"ArcSinh", "[", "1", "]"}], ",", "Ch", ",", + "\[CapitalDelta]"}], "]"}], "[", "\[CapitalPhi]", "]"}], ",", "1", + ",", "h0", ",", "f", ",", "1"}], "]"}], "[", "n", "]"}], "==", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", "f", ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "r"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1", ",", "n"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]", ">", "0"}], ",", + RowBox[{"h0", ">", "0"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"f", "'"}], "[", "0", "]"}], ">", "0"}]}], "}"}]}]}], + "]"}]}], ")"}], "/.", + RowBox[{"f", "\[Rule]", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "m"}], "]"}]}]}]}]}], "Input", + CellChangeTimes->{{3.713830432409966*^9, 3.713830504946588*^9}, { + 3.7138305454404173`*^9, 3.7138305500421*^9}, {3.7138308771739197`*^9, + 3.713830877615706*^9}, {3.713830909452053*^9, 3.7138309608613787`*^9}, { + 3.71383378581046*^9, 3.713833801775017*^9}, {3.714130485551214*^9, + 3.714130523143881*^9}, {3.7148313838292027`*^9, 3.714831393076005*^9}, { + 3.714833632393415*^9, 3.7148336942949533`*^9}, {3.7156803530538197`*^9, + 3.715680361902071*^9}}, + CellLabel-> + "In[1757]:=",ExpressionUUID->"2c0de244-906c-474b-a692-bd5fe702a1b0"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"Nf", ":=", "1"}], ";", + RowBox[{"NY", "=", "1"}], ";"}]], "Input", + CellChangeTimes->{{3.714234089654488*^9, 3.714234115594863*^9}, { + 3.714237522277643*^9, 3.714237529143321*^9}, {3.714238174543392*^9, + 3.714238207037031*^9}, {3.714833890793818*^9, 3.7148339330028563`*^9}, { + 3.714834707807682*^9, 3.7148347130470753`*^9}, {3.714838980409649*^9, + 3.714838999273652*^9}, {3.799285622440748*^9, 3.799285625431714*^9}}, + CellLabel-> + "In[1797]:=",ExpressionUUID->"87e7f061-312b-4959-ac46-377a2821fed8"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"eqsl", "=", + RowBox[{ + RowBox[{ + RowBox[{"eql", "[", + RowBox[{"#", ",", "Nf", ",", "NY"}], "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "2", "]"}], "-", "1"}], ")"}]}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eqsh", "=", + RowBox[{ + RowBox[{ + RowBox[{"eqh", "[", + RowBox[{"#", ",", "Nf", ",", "NY"}], "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{"2", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "1", "]"}], "-", "1"}], ")"}]}], ")"}]}]}], + ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"eqsm", "=", + RowBox[{ + RowBox[{ + RowBox[{"eqm", "[", + RowBox[{"#", ",", "Nf", ",", "NY"}], "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "2", "]"}], "-", "1"}], ")"}]}]}], + ";"}]}], "Input", + CellChangeTimes->{{3.714833304993925*^9, 3.714833335986959*^9}, { + 3.714833507091832*^9, 3.714833526852247*^9}, {3.714833616613831*^9, + 3.71483362647795*^9}, {3.7148337096633883`*^9, 3.714833713847344*^9}, { + 3.714833744167742*^9, 3.7148337447918653`*^9}, {3.799285636169566*^9, + 3.799285646200262*^9}}, + CellLabel-> + "In[1801]:=",ExpressionUUID->"2d580de8-c541-48c5-9a4e-6c4407a77308"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"ysave", "=", + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]fseries", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", "f", ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "n", "]"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "0", ",", "13"}], "}"}]}], "]"}], "/.", + RowBox[{"f", "\[Rule]", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}]}]}]}], ";"}]], "Input",\ + + CellChangeTimes->{{3.7144072995953283`*^9, 3.714407301859264*^9}, { + 3.71440739308639*^9, 3.714407417097135*^9}, {3.7144076508767014`*^9, + 3.714407691766411*^9}, {3.7147394426913157`*^9, 3.714739443012722*^9}, { + 3.714740030541643*^9, 3.714740030674697*^9}, {3.714755311203678*^9, + 3.7147553115476017`*^9}, {3.714755459529787*^9, 3.714755488519236*^9}, { + 3.7147555573691587`*^9, 3.714755559976899*^9}, {3.7147557923956747`*^9, + 3.714755792492261*^9}, {3.714847170862301*^9, 3.714847170956601*^9}, { + 3.714850204924213*^9, 3.714850206395837*^9}, {3.714859230075021*^9, + 3.714859286435403*^9}, {3.714859321006077*^9, 3.7148593213175163`*^9}, { + 3.715091351197731*^9, 3.715091352024478*^9}, {3.7152925804020863`*^9, + 3.71529258100209*^9}, {3.7157673247535887`*^9, 3.715767324881112*^9}}, + CellLabel-> + "In[1804]:=",ExpressionUUID->"45314b2b-93af-433f-908d-b9c5e841d5ae"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"yy0", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"g", "[", "x", "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{"y", "[", + RowBox[{"g", "[", "x", "]"}], "]"}]}], ",", + RowBox[{"{", + RowBox[{"x", ",", "0", ",", "i"}], "}"}]}], "]"}], ")"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "0", ",", "13"}], "}"}]}], "]"}]}], ";"}]], "Input", + CellChangeTimes->CompressedData[" +1:eJwdxWkog2EAB/A3akhzRI0sNec018oHZ8xRlKvFVpssy/HJEVKIkKRQFEtS +3si7yTCRhE9EcjRJxNzSaOSLlr1Fnv/z4ddPom9U1rgxDCMh8LrkYY8zOxSb +2ucDPNjU+o0LS5xOHM+OCY3k6afHQKz1GAjH+z2Hcqz3rAo3kaX1F9HYUClV +4p35DA0ebanX4bCOFjp3FtKKg4yuNpxsCDVgi7ZjCn/fB1rM5FqnzxoOFvOX +RUsORVJ/hQ3fvMy84aZrji662vZXkU82gwJwb1ZZIi6+iJPj8XRjGk61shlY +FcPZ1eSUBq93zH4OdGrIUWqWzvt9yQbJZvsvPfLnyIa3+FP6uftn2RB5PoEp +x4xJeXdMXuVV9B1fHesim3ZHlvGkSO/Bk6V/XUJcKqzLxCe3JVn4/pTRYC5P +RI9Qe29olx0Ka4CMbqnOb28mf0y8duKo8qWwmBWHYkFwKcVzzrE0HOvLpGMB +05WNf3S9BTh3aDFERh6eLRXjxGFRcw652h5N7w7d68Nyzkr/B+GbHDM= + "], + CellLabel-> + "In[1805]:=",ExpressionUUID->"f0045283-117b-4dab-beb0-8ed0395014f2"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"ds", "=", + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", + "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]", "2"], "-", "1"}], ")"}], + "\[CapitalDelta]"]}]}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "n"}], "}"}]}], "]"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "0", ",", "13"}], "}"}]}], "]"}], "/.", + RowBox[{"\[Theta]", "\[Rule]", "\[Theta]c"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7157186101628428`*^9, 3.7157186683574142`*^9}, { + 3.715720355154047*^9, 3.7157203589663*^9}, {3.715767192271344*^9, + 3.715767192447032*^9}, {3.7157673089932547`*^9, 3.7157673134649267`*^9}}, + CellLabel-> + "In[1806]:=",ExpressionUUID->"d9b81946-93bc-49d3-8aa9-6881d8e7a6c2"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"dinvs", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + RowBox[{"InverseFunction", "[", "X", "]"}], "[", "x", "]"}], ",", + RowBox[{"{", + RowBox[{"x", ",", "n"}], "}"}]}], "]"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "0", ",", "13"}], "}"}]}], "]"}], "/.", + RowBox[{ + RowBox[{ + RowBox[{"InverseFunction", "[", "X", "]"}], "[", "x", "]"}], "\[Rule]", + "\[Theta]c"}]}], + StyleBox["/.", + FontWeight->"Bold"], + StyleBox[ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "n_", "]"}], "[", "X", "]"}], "[", + "\[Theta]c", "]"}], "\[RuleDelayed]", + RowBox[{"ds", "[", + RowBox[{"[", + RowBox[{"n", "+", "1"}], "]"}], "]"}]}], + FontWeight->"Bold"]}]}], + StyleBox[";", + FontWeight->"Bold"]}]], "Input", + CellChangeTimes->{{3.7157184824662333`*^9, 3.715718607838035*^9}, { + 3.715718691760157*^9, 3.715718736887754*^9}, {3.715720032173438*^9, + 3.7157200612049227`*^9}, {3.7157203055775337`*^9, 3.715720333433764*^9}, { + 3.715767195959816*^9, 3.715767196199415*^9}, {3.7157673312316093`*^9, + 3.715767331367716*^9}}, + CellLabel-> + "In[1807]:=",ExpressionUUID->"1e3142c9-8e49-446f-9710-de0e007149a8"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"yy1", "=", + RowBox[{"yy0", "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"g", "[", "0", "]"}], "\[Rule]", + RowBox[{"dinvs", "[", + RowBox[{"[", "1", "]"}], "]"}]}], ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "n_", "]"}], "[", "g", "]"}], "[", "0", + "]"}], "\[RuleDelayed]", + RowBox[{"dinvs", "[", + RowBox[{"[", + RowBox[{"n", "+", "1"}], "]"}], "]"}]}], ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "y", "]"}], "[", "_", + "]"}], "\[RuleDelayed]", + RowBox[{ + RowBox[{"m", "!"}], + RowBox[{"ysave", "[", + RowBox[{"[", + RowBox[{"m", "+", "1"}], "]"}], "]"}]}]}], ",", + RowBox[{ + RowBox[{"y", "[", "x_", "]"}], "\[RuleDelayed]", + RowBox[{"ysave", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7157133687280893`*^9, 3.715713370526977*^9}, { + 3.715718745758847*^9, 3.715718805464264*^9}, {3.7157188468729067`*^9, + 3.71571885292091*^9}, {3.715719871049404*^9, 3.715719872680334*^9}, { + 3.715720086966139*^9, 3.715720090581489*^9}, {3.715720128014287*^9, + 3.715720170573407*^9}}, + CellLabel-> + "In[1808]:=",ExpressionUUID->"c9283f37-e4be-4bee-9761-f16e98524454"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc_", "]"}], ":=", + RowBox[{"1", "+", + RowBox[{ + RowBox[{"1", "/", "6"}], + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Tanh", "[", "xc", "]"}]}], ")"}]}]}]}]], "Input", + CellChangeTimes->{{3.71572046017805*^9, 3.7157204911070766`*^9}}, + CellLabel-> + "In[1809]:=",ExpressionUUID->"3d90e7b2-01ac-4fa2-9987-994982992f47"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.85"}]}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "4"}], "}"}]}], "]"}]}], "]"}]}], "//", + "Expand"}]], "Input", + CellChangeTimes->{{3.799293847858219*^9, 3.799293856907358*^9}, { + 3.799294106286522*^9, 3.7992941088292522`*^9}}, + CellLabel-> + "In[1840]:=",ExpressionUUID->"49b5dac6-f528-44ec-b7fa-5f5b20f2906f"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"1.3048386326209889`", "\[Equal]", + RowBox[{"0.`", "\[VeryThinSpace]", "-", + RowBox[{"0.07197491260579025`", " ", "A"}], "+", + RowBox[{"5.130711687634818`", " ", "A", " ", "h0"}], "+", + RowBox[{"731.4827199808171`", " ", "A", " ", + SuperscriptBox["h0", "2"]}], "+", + RowBox[{"1.`", " ", + RowBox[{"b", "[", "0", "]"}]}], "-", + FractionBox[ + RowBox[{"0.0010096821571744226`", " ", "A", " ", + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.01402825124226959`", "/", "h0"}]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["0.01402825124226959`", "h0"]}], "]"}]}], "h0"]}]}], ",", + RowBox[{ + FractionBox["0.6318888083339402`", + SuperscriptBox["h0", + RowBox[{"14", "/", "15"}]]], "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"-", "120.14465385399197`"}], " ", "A"}], "+", + RowBox[{"214.81665136542418`", " ", "A", " ", "h0"}], "+", + RowBox[{"b", "[", "0", "]"}], "-", + FractionBox[ + RowBox[{"68.79540238714249`", " ", "A", " ", + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.5729654657268494`", "/", "h0"}]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["0.5729654657268494`", "h0"]}], "]"}]}], "h0"], "-", + FractionBox[ + RowBox[{"0.0010876294099730047`", " ", "A", " ", + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.014380333422193338`", "/", "h0"}]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["0.014380333422193338`", "h0"]}], "]"}]}], "h0"]}]}], + ",", + RowBox[{"0.9625817323086974`", "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"-", "0.575799300846322`"}], " ", "A"}], "+", + RowBox[{"20.52284675053927`", " ", "A", " ", "h0"}], "+", + RowBox[{"b", "[", "0", "]"}], "-", + FractionBox[ + RowBox[{"0.01615491451479076`", " ", "A", " ", + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.02805650248453918`", "/", "h0"}]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["0.02805650248453918`", "h0"]}], "]"}]}], "h0"]}]}]}], + "}"}]], "Output", + CellChangeTimes->{3.799293857250008*^9, 3.7992941090362997`*^9}, + CellLabel-> + "Out[1840]=",ExpressionUUID->"7c1eb3ef-9c44-47e8-b4a0-bd23b4299d04"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", "0.1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", "1.5"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", "0.91"}], "}"}]}], "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.01", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "3", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "3000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.85"}]}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714836043615963*^9, + 3.714836044589387*^9}, {3.714836290637068*^9, 3.714836324225964*^9}, { + 3.714836388083845*^9, 3.714836388262471*^9}, {3.714837415845621*^9, + 3.714837426131487*^9}, {3.7148377212331553`*^9, 3.714837747792254*^9}, { + 3.7148392507136106`*^9, 3.714839277104413*^9}, {3.71483978480295*^9, + 3.714839809483008*^9}, {3.714839847371202*^9, 3.714839847406069*^9}, { + 3.71483988740263*^9, 3.714840005018692*^9}, {3.714840743913506*^9, + 3.7148407501038113`*^9}, {3.714862699130905*^9, 3.714862699795854*^9}, { + 3.714862738005735*^9, 3.71486273821253*^9}, {3.71486289724051*^9, + 3.714862979688342*^9}, {3.714863014778574*^9, 3.714863050057831*^9}, { + 3.714863159717188*^9, 3.7148631737709723`*^9}, {3.714865798463542*^9, + 3.714865812385675*^9}, {3.714865849921479*^9, 3.714866147921616*^9}, + 3.714866191109682*^9, {3.714866464163389*^9, 3.714866480144454*^9}, { + 3.7148666669176483`*^9, 3.714866669139514*^9}, {3.714903915141719*^9, + 3.7149039311237593`*^9}, {3.7149046080389223`*^9, 3.714904609087657*^9}, { + 3.714905323493993*^9, 3.714905334954818*^9}, {3.714906611952711*^9, + 3.7149066120629663`*^9}, {3.714906866596887*^9, 3.714906961540287*^9}, { + 3.7149071038967953`*^9, 3.714907104412897*^9}, {3.7149923930685177`*^9, + 3.714992452722431*^9}, {3.714992654434724*^9, 3.714992661113427*^9}, { + 3.714992698244532*^9, 3.7149927088787117`*^9}, {3.7149927510117188`*^9, + 3.714992795766477*^9}, {3.714992843752101*^9, 3.714992844373947*^9}, { + 3.7149991209025583`*^9, 3.7149991752794027`*^9}, {3.714999246991078*^9, + 3.714999269005369*^9}, {3.714999341558049*^9, 3.7149993418802223`*^9}, { + 3.714999448571619*^9, 3.7149994488392973`*^9}, {3.7149997002343683`*^9, + 3.714999700405889*^9}, {3.7149999100114326`*^9, 3.714999965622673*^9}, { + 3.715000333336094*^9, 3.7150003519450274`*^9}, {3.7150070937897377`*^9, + 3.715007146386731*^9}, {3.715007310448257*^9, 3.7150073258686323`*^9}, { + 3.715007418053814*^9, 3.715007433977274*^9}, {3.715007485969714*^9, + 3.71500748626674*^9}, {3.715007610422008*^9, 3.715007645328251*^9}, + 3.715007730432694*^9, 3.715007796730187*^9, {3.715007870534253*^9, + 3.715007897053793*^9}, {3.715007964185762*^9, 3.715007987473125*^9}, + 3.71500808240378*^9, {3.7150081322619*^9, 3.715008133401146*^9}, { + 3.715008182582288*^9, 3.715008183020303*^9}, {3.715008317908987*^9, + 3.715008335583222*^9}, {3.7150085862079563`*^9, 3.7150086653393517`*^9}, { + 3.7150088206256533`*^9, 3.715008825537745*^9}, {3.715359332388937*^9, + 3.715359361532488*^9}, {3.7153594920147133`*^9, 3.715359492608306*^9}, { + 3.715359532303096*^9, 3.7153595531693163`*^9}, {3.715359628424592*^9, + 3.715359628600811*^9}, {3.715359794477854*^9, 3.715359797773241*^9}, { + 3.715369111630156*^9, 3.715369167534336*^9}, {3.715369206716189*^9, + 3.715369254736014*^9}, {3.715369289042774*^9, 3.715369324177082*^9}, { + 3.715369396026218*^9, 3.715369461504559*^9}, {3.715369533436697*^9, + 3.715369550636325*^9}, {3.715369585854053*^9, 3.715369669350461*^9}, { + 3.715369700920062*^9, 3.715369713222768*^9}, {3.715369752443164*^9, + 3.715369795768187*^9}, {3.7153783486290703`*^9, 3.715378363055706*^9}, { + 3.715379103573955*^9, 3.7153791036833467`*^9}, {3.7153792221685953`*^9, + 3.715379291750197*^9}, {3.715379325103009*^9, 3.715379395127963*^9}, { + 3.7153794533719177`*^9, 3.715379542562405*^9}, {3.715379708253914*^9, + 3.7153797096451397`*^9}, {3.7153798148789167`*^9, 3.715379844847281*^9}, { + 3.715379886280575*^9, 3.715379886560041*^9}, {3.715379972458128*^9, + 3.715379984145411*^9}, {3.71538001875729*^9, 3.715380019652261*^9}, { + 3.715380131884206*^9, 3.7153801348598337`*^9}, {3.715380765078636*^9, + 3.7153807651660337`*^9}, {3.71538090726449*^9, 3.715380907360579*^9}, { + 3.715381044282898*^9, 3.7153810464824877`*^9}, {3.715381447569056*^9, + 3.715381454353322*^9}, {3.715382076114991*^9, 3.715382076402755*^9}, { + 3.715382185117015*^9, 3.715382199860681*^9}, {3.715382668012575*^9, + 3.715382668108261*^9}, {3.715383209221393*^9, 3.715383209300844*^9}, { + 3.715410730977353*^9, 3.7154107310809917`*^9}, {3.715469168703465*^9, + 3.715469193909027*^9}, {3.7154701335953207`*^9, 3.7154701336683702`*^9}, { + 3.715471026116494*^9, 3.71547102662507*^9}, {3.715471230036982*^9, + 3.715471250428534*^9}, {3.715472099374197*^9, 3.7154721072112503`*^9}, { + 3.715472270485623*^9, 3.715472271103024*^9}, {3.7157205077825527`*^9, + 3.715720523460494*^9}, {3.715720703289529*^9, 3.715720743391803*^9}, { + 3.715766745682043*^9, 3.7157667464805098`*^9}}, + CellLabel-> + "In[1811]:=",ExpressionUUID->"bab4ccdf-6e89-4a30-9470-53c4cf8bc661"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "0.0014556281097380577`"}], ",", + RowBox[{"h0", "\[Rule]", "0.5770481178810123`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "0.946074638246841`"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.85`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{{3.7153697101111517`*^9, 3.71536979608549*^9}, + 3.7153698311576853`*^9, {3.715378357564209*^9, 3.715378374093108*^9}, { + 3.715378657188444*^9, 3.715378696907753*^9}, {3.715379091259631*^9, + 3.71537912483786*^9}, {3.715379205267564*^9, 3.715379233391788*^9}, { + 3.715379286079441*^9, 3.715379350717908*^9}, {3.715379386250176*^9, + 3.715379416443823*^9}, {3.715379446735611*^9, 3.715379657488537*^9}, + 3.7153796933678627`*^9, {3.715379821467957*^9, 3.715379909109627*^9}, { + 3.7153799648416224`*^9, 3.715379984413221*^9}, 3.7153800200052643`*^9, { + 3.715380132508038*^9, 3.71538013546671*^9}, 3.7153807656311274`*^9, + 3.715380907863069*^9, 3.715381046708146*^9, {3.71538144798356*^9, + 3.715381454782566*^9}, 3.715382076955702*^9, {3.7153821857217216`*^9, + 3.715382200207038*^9}, 3.7153826686730747`*^9, 3.71538321055962*^9, + 3.715410731765565*^9, 3.715465930202009*^9, {3.715469182320891*^9, + 3.7154691941735086`*^9}, 3.7154701341044703`*^9, 3.715471026973749*^9, { + 3.715471230718367*^9, 3.7154712513876877`*^9}, {3.715472100152028*^9, + 3.715472107492736*^9}, 3.7154722715985193`*^9, 3.715680589382949*^9, + 3.7157127216108294`*^9, 3.715718879614915*^9, 3.715719285031939*^9, + 3.715720363921194*^9, {3.715720512279315*^9, 3.7157205237783127`*^9}, { + 3.715720704456159*^9, 3.715720743685074*^9}, 3.7157667470036*^9, + 3.7992843960410748`*^9, 3.799285803659287*^9}, + CellLabel-> + "Out[1811]=",ExpressionUUID->"0d844847-2434-4cd8-b2ef-5978d1a17f7b"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol1"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "-", "1"}], "/.", "sol1"}], + ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "+", "1"}], "/.", "sol1"}]}], + "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol1"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "/.", "sol1"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714831591839006*^9, 3.7148315929177227`*^9}, { + 3.7154691998249702`*^9, 3.7154692338848047`*^9}, {3.715720529255381*^9, + 3.7157205704517508`*^9}, {3.799284568846949*^9, 3.799284569085812*^9}}, + CellLabel-> + "In[1812]:=",ExpressionUUID->"5d18036a-1593-48ad-9b4f-438b8c213ae3"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwV03s41dkaB/BdJJVLxqUIuSQkEbnMES/aSikjiVHKkBINdopUMnVwupjc +uslpuhgqUkmRFK+IXHIZmYYaNFNk7N8S+7fv9t7O7/yxnvV8nnV91vtdppEJ +gXtns1isy0z7f391a93TxBhWg/e6vqptmhPQy+kUDe1jNaRr3wh3Yzw/d9DF +L4rVkJ38QGTGOLVL/tQ8nNVQqLqVN6UxAbv9PGr6glgNbiGFmjmMl/lgjbMn +q6F2a+5As/oEPHR9+Uyqx1hd28RCbQKy4NyROWdn8JihBpaoTkBND0canz6D +G8Iy/8xkPBoRcqL/xAyW3bg7tJexd8ay9HuJMzhQ9mOuBWNxa3321rAZrLRb +ffvXuROwL5Au+cVuBvu7lqcWqkyA196wPqd3CtwmzvjtoPIEiM6tWr3PXIEm +0/TG+hkCDo3DP60yVuDrBp7qVcbxktwu4WIF5sbp3DnE+HM0feC0hgIf79Q/ +acW4l11z+65EjkXsMzdzFQTKFV6G3G45ntmrlLRDTiAycftcTqocy4wtbN9K +CVwvVQl2PSLHZ1+0j5UyHvj4tJiVKMeTn3be/IlxwHcG3nnRcvz1jFWKDWP3 +lcOplYFyVP1G7H9KQmDx6H4e30qOezxDYi3EBDpDUweP/i7DKu4/7VsEBG5z +boWH9cgwa6K3aSnjtNMtf3l0yPC7K6W5U3wC9lULR5VeyjDhiU3JRcb5C0sm +zpfLsD6/rrKfJhD8unPmVroMo04dtPqeR2BozVKz9tUyJKHjdxy+Eqj2YxeX +r5Sh85Z/31BMEMiJjFmeY8mcdzYtsp2xZ+7jFUFGMtS/lLAxgnERd4PjkKoM +g71K8n8mBKKLOGze8DQOr/za0c8lMKnZuM8gexozdSczfMYIZB69zz1/Zhof +lL2AOYwNPhVwZqVP48K5bx+++kKAXZ1wbOzINCZVfL7vzfhKmFF2dcQ0znO7 +oO02SsCjNKUq0Gkan8braxl9JpDlbaec9acUg84n8W8NEzApNzireCdFp3uv +toQwfqKropH4mxSXnvfZpMZ4aOzPRaEtUozd5b4iaYjJQ845G8sKKTpuCzzk +PUig/8NIYFO6FH98Y5zT/p7A8qRrt6ZXSFGlJ+pZ1u8EWjMCeZ0WUiw1q5z8 +lvGBi6rrbppIUeA5t/FLH4GKx4c/s/WkqOn+2c6b8b94my2zZ0nx5dLX5rxe +Av4J8nKTfglWutm/dO8hkByzu8YnU4JNIn+dtHam/kd15i0+KUHH2d6zjRk/ +P9MeOn5Mgr4uEQl1bQRYd52nszkSfHRwTZO0lcC5UQ2P/p0S/CdQyynhNZO/ +PdgU6yBBB1r5e49XBFp2mXTnDItx5L+11XF1BCwarpnRA2Ic3HC/b+oFgQwz +/eTgPjEaejTaJTH2+qJlZNQmxnX7gy4ffU7gBUfpQFmlGMtOiHkpzwg8Th9V +ac4Uo+3gh/UBVQRulpZ7SG3EuHkoYzqwnMDMAuv8XcvFaO5iya29R2B3fMlI +g4kYA1w8+kwZL3G8/vNpXTEaGXHOUKUELr/Iea8zI8Lew6dXJd0hcL47Mdmu +V4TsuAesrUUEjglcH0SliFA3RWBmdIV5Lxdrp78TRVgboacceZlA4lH9F+Fx +IvRLa80suUQgVi5p2xEpwuLozp1WFwnsmPN8JGCzCD1X/z5imMfUQ9fdyN1E +hAs4i4fqzhFwDrEtrjUQYXlT7Oj4WSYPV41sXHVFuBF2bNZjvMJI4eo4X4Re +OcbG+08zebXAIGu+EE+VFQWI0glI13j9rNsqxC37DsVhKgFh8mrtC41C9PNt ++9p9nACvxrRwYZ0QFWqLjg8dIzC+dvbdBZVCHH+felGQQuA9u6lp1jUhFpdt +WLYgiUBtkM80SRBibr50svNHAscPb4xtWSTEFWmWkhM7mHqFKdcVfSNEzyl7 +h5BQAtls1PxJXYhP1Q0Gbb9n/qOOU5WLkhDfRadFv93O5PWJCat0QoBqumnh +igACegLRpaxmATbKPMc61jP/ZbByLLpBgEpVk9+k+BCwbo5zYz8XoIGLTN+U +TWDtpU8fZRUC/M+sqbwYLwJ7nLpt4q8JULLUbLLXjcl70u2XAYcEeCBu4KvM +jrn/rggd23gBBk9PRh1cRaDJxzB6XowAV7Mjp/5aSeCdbr5a424BWs77qPfU +moC86kSI4yYBNuhIeXbmBDYJg4iuKTNeMX9yiy6BoCFNT94SAa5NW306VZvJ +U0t7fpcec987x21vaxE4eNnT9bSaAG+0l4WOqxMocF6ZLhbx8XBNh8RRhcBI +spL+hy4+Xn9lDc8EFJQ9yoj3beMjbbOxLpymgEPNeVXVxMfvfPMaFJMUyCJU +E3Jr+Bj+XvLGgqJAZ4t6s08RH6d+262m8zcFbPNFByuS+Dj8fKDK/w0F83cX +tBhx+BgTfKHgQBsFPQX6hlmxfLzh28FJa6EgTMPw9d5wPt5Oeeea2UDBYYmJ +0ZKNzPz1FyK0nlBQ3L2iLdOQjzV+9PqpAgpi55cb03p8HGvJW7LtEgX2PraH +f9DiY1d9s8GdPApe1NotdVPhY719deyycxT0laxJmvxKY2n79oIDxygo/FjV +vmucRlurGL3gZAp+WOJi0vGZxvjjm1fYJ1JA5X7bUTJAY2a9+7VHMRQop3qY +7mxi1ocPdQ2FUNBejcmtdTS6dac6uG2jIHfK841TDbPfyVR+uj8FhtHrjiy8 +T+NbjYd1/WwK1gT6djZfptH6wsOWU/YU7LEKPGofS+MzZ8svIUoUOM+7XiiL +ojFt73b1YjkX5o//87w1nMYQ+5MWf4i4UHnvlOKH7TSuFEa8/srlAsvuUXqe +J42jZke0B3q50KcpL97lRqOKdL+V3xsu3Jn0bbF2ptEro5B7vZkL/pUfVRtt +aCzqmnN07CkXfnFamM3To/GTkpI/KeQCRy/sYb0WjZs8NQuCL3CBLbrTc06N +Rod8ZW5hFheoGtA2n804tPpDxXEu/GttQsE2wsMqk/tXBKFc+MO7q+hJEw+v +ptWxR9S5UGZu8OpkPQ8jrU5AqhIX0pT3jWx+xkNpz2P2B/E49G86RRfW8NBM +3dQoSjQO/wPqnygV + "]], LineBox[CompressedData[" +1:eJw12Wk4VV8XAHBUpEhKiJRCIWMIUStlLlJJpkoyJaUkJJlnUjKVqQgNVEhF +YiOzROYxs+tynXMoon/xbh/eT/f5Pfs5e++zzjpnr/XcndbOp2xZmJiY8pmZ +mFZ+d2gaVKfPkWj9+8rz4v0UCMyYn6LNkoiLtYXnXC8Frnz2zB00EhX16vl4 +tFHw7eDN3Mo+Es07a15qaqQgIDxiQ3o1iZT7njwRKaeAIfK53jKRRI4eYkPb +XlGgrV97+9h9Eu3aJ2pTl0HB0+tt4gcCSRTzzvNvyhMKzpQwgvmukYh/h7hN +YRwFpSZCR1s0SFRnG2ARHEAB/12J2bL9JBI5bbek7UOByzOltLd7SfRBtW6V +6B0K9lAGy5FbSFTBMVcnc5OCB2HexTp0AtnzpzlesaGA9e8Oll8/CBRw6E+q +9EUK7lwr133aRqC/+pUcLOcpsDu9umMBEahv0x25gbMUqAuFUy/jCZRT0ahj +cZyC/Pt7lU0iCSQyLVnxRA+vx9J4l8WfQL20yuOz2hRsonGtt7hKoHvcccNI +gwJ6bpwYhyaB0s1n984qU3BeRNmpUJVAFufe7kxWoqAtrivfRpZAVwyZZU8q +UFDmKXi4RIBA9SkaJr0yFMRrpplfm5lGFvOlP+x3U3CkK+d+c+o0UnJ/LyDJ +R0GhvmGHV+w0EthOW7LdQoF0CblNInwaMSJjxF9uxvFK3/fK79Y0Grggmai5 +kQLiSmHlvuPT6HXLP5sGdgoSl78sxi4ykKkmizT1HwkbXWwPa5AM9NeNS1Rq +kYSgUdaQ6VEG+mcZIeUyT8L1Oj0e7WYGehW//5HgDAnaMU0yv7MYaHzUTe3H +OAk/d/deMjNmoPLHB8T+tJIwfIg9d48eA4nIevJEfyeh2UT579xBBuqMvhMu +10RCTnBM7MM9DFSInExD60mwGT9W1fBnCvHcCvoRX05CR+bn3YfSphCvefPe +DXkkVJZMunDET6Eyq1C6wFsS8tv5UU/4FHLRXjsg/ZqEqDW3zrq7TqGLpnF/ +bV+SoGMrHZqrM4UkBqt/C6aTUCiaSt9FTKLJ52IfQmNJyFL/qjQzPIk+XKYn +MR6SEGv8xw91TiL51Sdkz0STcCPQRMCyfBJ1FR3mUowiQXJ0w7G42Em0t2I5 +ZXcoCUnPfHLY1CbRP22Jx01eJHjvuujMCKGj5lkeqsYBz7/otov0oiPFzDjN +5/YkNDVHts/coCNz966zYXYkCPsUqv22oKPygz9iztiQUNHLtZZFjo6up9tb +clqRwBZX+pSvawJlB/vcmz1LgpxT22mBxgnUlPcxadGEBNOjk6xCFROIt9xl +kAX71cyWq7tyJtDgXidK0JiE44ZXVaV9J5DgZ2k7eyMSHrBtazkiPoE+Zb6l +ndPD8fghH6QlNIE44u4pBemSMPReR0V30wTKm+A8/UaHhH02N1MN/tLQGb3G +8TXaJLSV1TuaNtNQds/W3rojJGz1vL3qmgcN7XAYCX+qTkI6o0Pxce042rvI +4XtZnoRxLn8fs9Jx9O4Po+arHI6fgnT91oJx1HY7WlweO/92wIXEJ+OIX1BY +4p8MCeWscuFJbuMo8LRYX5oUCYPCYQMpouPIRV27UVCchO1n1MLTfccQ56qI +xPIdJFh7jLdZu42h8KE6jaPYWUnRO0ScxlBj5kRh1XYSZIZpBc/OjqFvVde5 +GoVIOOgcO5AhM4a2JD3YOyZIgmXYtOLzvlEUIFHwVJWfhMSSJwPZKqPI/6hD +gAM3CSbBnbJR0qNId4f/oYWNJGw+weV7fdco8o5dUxCKHTnoLazEMYrYfnXU +ZHPh57/q/MXSgRFkcTvG7g8n3p/etpHm4BG0bkpKtnAdCRLtj8bn2obRx/Yk +jZzVOD4pzfu76obREf3r3kbY6XZrQz6VDiOd1qP6c6tIEFhw3+PzYhiNH7wR +fhibQ/Csw1qvYbRu16mofmYSKKstkwIiw6h7RrtIbpmAQkb0NNwYQmMjm9sU +/xDwgPlC+4DdEDqiPsVKLBLgwCtV4mM5hEQS25KeY/Mdro5EOkPItkuLLojt +FvNnL2wfQuoX25jYFwhQPHDJ8VDDIAIpgce/5gjIC1GkqYsNorMBx65wzhIQ +mszc1CcwiFz8tT59nyHAKu/bB6+Ng+hxhIZZPLbwh+8ct38PoC7xk0HC2AOW +B455ZAygjDNBoSoUAZav1te6Lf1A8oqX29wIAs5ovSm/md+P5INYfCSmCJgv +upj8O6kfqZhaFM9OEhAvs8X9TlA/enMyR+szdhefl1SAaT/KUTM/YoRtOamX +8HCpD3HdF2i6QyfA+v6YU55+H1p3T6V1kEbAte5t/ORwD/qw6WDawCgBXIbN +sy5fe5BxVlltHnZuRUDj/PsetDVaUT4QeyZ70n8ptAdpzgZ/kcB29S6c5pTt +QXLJCqPuIwR4ihh/kbrTjdy5OBp2DBMQcjXimuPmLlQNYUtJAwQkW23gO/uv +E/lYWpu4YeefjkZHaZ2IQ814xAj7h2rCRqHiThRG90lixVZkfZbfZN2JZORW +e7v+IGAw9dO8Yn4H6s3qaDfrJ+BAM9172agdBd0pPqDXS4DRF6c9jAPtKGea +LJfAtv1ANnWJtiM/bz73ddgPkueE8xfakCvp4fi1hwCaA/MXm6dtiGKWvH4K +O5Z5K1s92YpuGuU32nUTML1P935sVAtq1BF79LYTr1c6Z/f3dgs6USV0NAE7 +WO/ZIRvbFvTHUY/bB3u71dK0gnoLktcr4T2BbXiv4Hgr/TsKEf9UQXXgeNKE +123S+o60UwcCD2BPqPxk3/G7CRGtWxnjbQT4njAsIhqb0NhdxaoW7K12Lx1K +M5rQaDxraSm2fsyFmnOnmlCCmfOGBOzs6YbA5Nff0LkHeXv0sK+lZyxvtWlE +jxpC9rxrJWBuvckcz/d6FPTfiYqUFgKuF458csqoR31q29gisSdtbvhWutej +vbeXrnpiD5ZErnfdXo+S32SkncX+6vxlZ+uVOpTuPJyyGTu9Vc4wmrUWzQqI +d0R/J0DIt3QzvbsGrUu/K++P/UjqePfh1zXILt33tQt2VJC9DXW6BmVsUmcz +xr6tnOp5Iq0a9dcaAj+2UdL655zqVWhK70NuVjMBDTqPnWy5qlCq1wPOx9ja +v3bvKxmuRPGBw2ER2GoGR0qcwirRI6Xng9exdy97tDZ0fEGwvXH1Qex/1uPL +YTcqkJgaxd/bRIAHl2vVkGYFYtpmatuEPVvMHKHKX4HWDso1f8Ge4BHipZeW +I/ULi0yvsduqT0vpcpQjuw8Gjb7Yxmf88zgMEXqwp361DLYol+7iiz+laPBS +SKco9q9aTg2t56XozFauSkHsWPXHzXeZSlFR2ZlJdux2kVySyP+MQq1fO9K+ +EWAy2y/9ne8Tcm4+ve859u6cZ7euVhahS1kaKU+w520vl7DfKEKfuux2PsKO +7/51/Eh9Ifoau/9WGHZn2Xqnd14f0eZIDv2r2Kb3VV/FDRWgcsfFNFVscb3l +GfmoAiQrXZGsgL3AUqX67UAB0tE5niuN/cjNqI419h0K6wnfuQu7+5z9hLt2 +Pjo3u0qKA/sVn7Qcz888pCAqwWDF9vw+6577JA91SQ5UMmMLaHmz0RdyUf1d +GvrdSECBqaRBgclbFJ/S2juKbfz1fR/j7RvUu5V+YRD7F2g4ibG/QXlFtn97 +sZX2mEbEF+cg3Qg/71bsD3NBdR7Cr5DzxaqsL9gml7nN8m6/RA4ScdMIe74v +eYLe8gL94H95/DP2/sp3bBZBz9GziXun32N/fDikdXAyA+25PBrwAntpceLo +Z+0MdF5jW1ImtuZFSkPt2TOUfyuiLh27RXb5oKplOjplv9opBXtrAqt6YWEa +Uk5aO5iIbbXEeUB5Sxqy4le98gi757Gqk2PyE2Q3ylMTg+3goOvgcCYVHXIs +TojGntt/1sZuQwrSfh7ocx97Y5urpbVvIrr92S02AjslPcDUSvUxUotIKg/D +lrzx0Pj8bAI6udSzJhRba0PucXObOGRald4auLK/vlJdU6FY1PZtz7mAlf1k +N2qadDxE72hl//ywidt9h43vRyPNLKf3vth3dKfUT+k+QE8LJQJ9sLllft14 +yhKFskbnL3tjSzVwOya7RqAFtla7u9jaDrLWj8ZD0QJfiacX9sU1BuaxpsGo +emdB5h1sr3THUw/qA5C6/keaJ3YChOpHqvshqrHq8Iptio4FbTx3F0kyD+Te +xn78M/jWWg0PNHWCRWXFTdIVtkxiN9HYQdkOD2z25j/ZFLcT8rGzjVixq+aN +yMHui+ibV8bZFfuOpL7TCDFESccYB1acEbch7l+eIpx7r6604oefTTKeJJvB +gYI47RX/oBfMXGC1h/Xmv6+tuOjAk7UqT67DmeaLb1YcyGTDf7j4FhiZtq9e +2Y9htbi4bqcnjOifclkxf+S0stFPH3jB3z2/4hnxbpGcEH9g6Dk+XLm/joji +vblbguCtN6vWSjw+EykKBc9C4OW1NxtW4pV20letUD4c9OjW5IqDC6yPfkaR +8LFdlLYS3yt8WsfKDO5D1765uZX4i5fESAxPPwAjvnbBlefFKewmP34nBlJ0 +anP8V+7/pL3SREUsRCn/4Ft5/rP+pqqT7PHA83ttYhB219gBDSLhEdD2PRtZ +yRd9Pikt6sdjaODmzQ7HLtEV0psVSwKvoIywSOz07GWj+Xcp8N+8YOQD7C39 +lPHCn1Rw5GXPfbjyPrDdkPon/BQIToGp2JX3T8Vabtk+DUabcrMeYyclaaqs +mn8G5ZO/FTKw6/tchi49z4Bjh2KNnmP/EUoLrzTNBPvLQaGvsM2f/usLKs6C +F5xu+nkr8c384LfW7yVombPylWHrjo9KXt73Ck4dL91Qie2xZ3Nb3cgrMOIi +dtZid7503h2hnQPVrHWJzdjxb8QbODneQpoIU+cwdhVp4nqt5C1c4WfPpmF7 +PqqIslfOBb5T7xMZ2K+6KeXaiVyw7uZqnMdeZ2kQHnYsH6Rfe3uvfM9qrVhl +ObjfA9s5DYGD2FZ+KQGfL78H++LU7KMr38c0xS6nivdQfGSjmT72nhFrv8ab +HyCsx2itKXawLWqN6vgIIS7KRa7YWo4eHtzJn2BzWoTTO+y+cK7G8l+fwMbA +5Esxtmt21k4Xg2IQ66vbX4mdwWirb1kqhoiB9pvt2Kud5YViL5aAxd08nUXs +IdU5q4jNZdDY7Gqljc+LssdTUtPqZXB9KrLrBHbq4tCCoV0ZNP9UczTDtiz6 +9mBTURlM/Q7tccLuUHlR9vh8OSSmcVCx2F+VLYRfvKyA6YCoBTr2q4STDPbW +CnDZr801hx32W6fwyt8KoMKOHWZaOV8/KhrJnvgC27bcmOHFLt+/wffDry8g +Px4ZrYX9Qal8oBKqQFktpe05dlzcx+zdl6sgzexEfAG269xr99CHVaAjuvtm +Obb8+0Su42NVcGS3l3cvdo6iK7SGV4P6Rcf+jfi8T1PY82SovQaeVNTW+WJH +yt87v3SlHk6ZDzbdwvVF6H9GPF2P6sHEJOpmCHZgFU99XlU9PHyToPoY+65Z +spLtjgbgXbdDugT7ml82x9eWBljNjwpYcb1j9L3u02PVRmha88fyKXa4SkBE +4qpmyA8MbiVwfRQqZGvHJtAMrMIN86vb8fNl0dFwlWsGMeonCGL7f1332+Bc +M5ywd9XUxb5j9dCa+WMzPKhs2pqB7RSapurg+B02ynZuvoTrN8MuRFP63gLG +47+PLuN6r/NQyy9VWgsEnhOgb+3C+ZY5ynzoXwtwbVb9qIh904V9m7ZEKwQx +1jc5Yj/iOG1k4tcKTnHeM13YI4fHC93k2+By8pXdJbj+9HjJEf4xuh3sm0PD +snD9yrxxR0Lx83Y45HovvRo73E0+A5W0g/G6w5Pj2ClHTUpr6O0gvNaHVbyP +gIr+J7OdGh3AR+z1yMHm3KRgsTDTAZOi086luH5O9zSTUj3VBWXDydprB/F5 +pquxrsKuC/adPsghha3LJzGhf6cLKpcHmYywp98tPLPM6IJagsPjEbbKdIKg +73wXSEqsz9g7REDjhY51NYndkMmbJ2qB6/8FzdN045Ee+DfkdGMQ9wvHNqvV +9P/uAYvS5bB1Yzi/h3Zl2nH0Qu1Dw25F7KPes1YeSr0Qe0JVKBw76mN0V1JI +LziwbT6iPI7rL8nmmuG9fXDNUuNwMu5fTnAZZF137QfXwHP7YnC/k/tQ8Pb7 +8H6I93On1WJv4p089udpP/xsy5tYwm7bFjIT0NgPsi5m36/gfspcslw9YfcP +UGW6pqvHIMBOS6m1pOsHtCtuVd2M+y9UssE3aPsgsNTzlI7jfu368i36c4lB +2KacQuzG/Z6wRv+pesVBMJ3g87LH9q/MFuM6Nghb2s7m0rG1GnQbHrkPglOa +3/3Zn7i+7fLnzWkeBJnRvCLeeZwvP+dzWvyHgHrMkfYa96dO9Fpv5XtDkKVz +O3EOm2Ug0Sg5YQhY1tcuHPwPn+f1h37Z5gzBbGfteBO2/9NgtcX2IRi7OZy0 +8JcAGQPe+h0Sw3AnI43jPO5/g7KUaE5Nw7Cq54y3N+6nBZLZir53D4P9THR4 +G3ZudHf4/tFh2CN6eMveNST0eN2VYVocBv4rH192Y8udrroVs2sEDocs09XZ +SOhbNl796dYIPM/hebEN9+8KZq472baN4rpKPF8X9/9R989HKu8eBa1//cFv +sCerdH/by42CiqzBbx5uEp7uE2qs1RyFZ9nmuSPYHBzVHuFXR+E128bnoZtJ +GC3la+ZEozC/X6ZlhpeEWNFibx7rMcj55H3y2HYSSPNMuqbTGLDu9DhTg60f +fd/4ltsYCOQKimnuIIFp6ZJkR/gY/JJOkzksTIJTJ0dHwrsxON+Tsf3ILhI0 +w89LC64Zh2Iz1d3Ou0mYI5n7dr4Yh1g7+69esiR0+V7QkHs3DlY+LJYiciR8 +4i7JOlQ6Dhz3emUasL0VPG5YtI2DqaxyzvZ9JKx1J1jjmGjwQ2ytY7siCduW +euTXmtFgfvD70aADJCxFqSTw2tCgo02wWkONhKEd8X9FnWnQENJZt4ydpXGy +RiOIBs45pva+B0mQDaqxvJNHg1RlS8/YwyQc4SgIIdgn4Fx360EOHRJEU7in +//JMgKTbSe4RbDYZ51PrhSfAtrXzfbEuCV9PSAqJ75+A3LCOUBd9EkxinuZf +tJ4AHdWJ/+YNSLgscK+/7dMErOl0TLA6Q8IDcTuF4it0EK4ZHpqwJeHsVRlm +Djc6SJQXlP+0I2F7/vw3S186ZNwwY2N2ICFHLcRxKZYOT5pfj+5yJKHO8EWa +RikdiFvtrYHXSGC5NclVu3ESzgZ/d6pzx+NF+f38gpNg8/3otyUPvN6SZ/Zl +sUmwn30pqeyJ5w9dr7P+wCTEc7Iz5XmRoJYk5W14aRIEBnZZ1PuR4Fp+jdH2 +fhKOrSODUyPxOKvyJ7GySRC3uiLHHoXXO7Yc4lY/Cb2n4In7fTx/230R/oFJ +4B5mZbd6SMJrWq65xdopiH1e+8XqEQnjnD9rh8yngP+cS75cJh4/VRy/z3YK +Cv82ugxk4fUSAmwCnKdAqNB5U8wLElbt5GESC5wC99BATfYcEoQVlZQdXuPx +0yPDCu9IMDN3zySWp4DB4DVIqCDhxWL+VaH1DPDb/nBjQyUJ848IpeO8DFC0 +++3EWoPzudO2+qUUA3ijIu/HNpDwzdiYZmPGAPl1Jjyb23H+/Lr/NsaGAa9G +I+VCO0m4EtPgXuHMgBveJ4+w9uB8azmyVjiYAR0PL3FuH8D5cUJeojefAZGQ +uaaCju+fcJphL2XA3IO/oYEMEgbuvShSqcP7KTIqPEmS4PV1h378AAO29Gzg +45wj4YPehisnOaYByuPiQpgokNScyqmxnYbhiTGPck4KPEZ235q/Pg32IzoK +YVwU1PhbHxTzmgaFCK1qU24KbMq7G/0fTkOu2Zj+xi0UpB6qJQ6iaRA8w8VF +20YBo3/VR6f6aVBRrK/4uZ0Ctbvgk9Q+DZtslmTW7aSgq/gD1+LUNIzse2Vw +RoyCTaqZcgX8uK7ND99wVYYCq67BhWER3GemRQ80yVHw1n1bObcsAZnF3TOH +FCg4/iHmpLMWrvNsqqyOqlAQrODvIulCgAi9n3XmCAVtLSUHzO4S0MpTYV+u +RYGIyyJLaCgBYzLHo9J0KSjLvR4zlor7xrgHp2MMKfgjfaHgaQPu2z/K6xpY +UCDtt2aMG5/zW76mXXc5j/fTlr0lAJ97fPuj8l9exPHwXHCzncN9SHD7hpMO +FMTWRKtK4u/QdSWhmng3PC6g4pgkQQJNVGOvlSee/+qPRA78nai7QcvU8Mbz +8ez9S+D3Vu1EzDOjYLzexcrSdy44L5x0BD4n4PECR1L0Ls7zmI1HLiXj+dm4 +heNDSEDyAWF70/B8r8/5eSSTYLxhwlAsG1/PvDqfjvO4XiBvxiwXX2/8atg8 +jwRGpRPzh/cUVP+ZP3qwmoR0h8j2qTIKFg1SXN804/UrklLrqimQSjuauaOX +hIu+aiMdXymI0XnAykKRMNLS5hnWTYHYahFBW5w3//8/7H9bfJGS + "]], + LineBox[CompressedData[" +1:eJwV1Hk01ekfB/CvJYlutomsYykpMa0mKe8b0WZazDSp7EuLTEq2SOiWpdCg +LGm/oogSkxIaqZSlbCUq1CTb97niLq5L/L6/P57znNc5z+d8zvP+nOcx8PR3 +9JGmKCqdWf/f6wxPt2U8HIEhy0DXe3QAJ9duDThSPQJ/97C57qxBcPSKJTnt +I7jr8Zof++sgns2ud17eNQKFKhWKs3YQsqyeyqqvI7CJzZbZsHkQp8bVOR+H +RtAlrmle4cr4fZiiqhwfB1fQm2qimfo3qX9dVeTjcX+AvuUZpr7mzptFKnxs +OH45LTKFOf9PZ+p6HT4sJ80kSTcYp9joRCzlQ0bGo/rtv4M47aBg1ufKR4b0 +BfsO0SAeXnaqVvfmg7fMPevmxCAGeDm77A7wkaltOb5TmsaWZNuYG0f5CJZ/ +YxjIojHn3fEu5zimn85ew0xDGpvm1wWdTeTD7XXjZP58GhGhmjPLUvg437pA +OW8RjS9aD1ZqXOZje0Ux94AFjTtuQ8lNRXw4pXy4Kr2RRue9NSZUKR+tZ8Yc +wn+joSKdUGlezoexSsXpL9tpBGebDJ59wUcYJ1blxG4a7H6PdfYf+IjJaN7C +96XRGtAqKpMVIFSuWls3nobcM8PE/hkC+EWGfLyZQMNy9hGjOUoCtETlzDT8 +m8aVUta2IE0Bfg9bWyJMo7F/wv72L+YCGKx+dlE5m8b46Ud7sncKkP8qxWhd +OQ3ztukjzc4CrF/9h5HeExruJn/GSXkKUFqQ2MGrovGsdqTE1U8AKX0DzaAa +GklKi2ZpRgvg3Npjp9lMwzDzyr+JeQKo6/f+6O6hkZFu/IfpPQHazVx2+fbR +mJVW2PvyHwFmmpw/NjhAQ5JSOUu2SgCOpdbVt0M0WhI6ncPaBOjQ/n7otzEa +p6L0xvbKClGRzJ/Tp0AgOZGTIKsgRIZi9ssfMwkOR5jr31ASwjk3HSwlApcw +6/WftITonlFEa6oRWAS6Xvh9iRA63BI5okXQu+/KErarEJPZ7blJCwhc9xo/ +/+QlhN0COzUHU4JW70Kn8ANCWDmFFMmaEfzrURn5IFAIueSypn2LCTL2dDYs +OivEr2r9l0ctCDZt1fPVfCjEC7ur8x1sCe5YXLkxoiKCi830hF92EZzecV86 +WEMEE5GsvN9upl/gC88xHRH2tchcurmHQPk+z5AyEaHg1PJlyq4EgWbgsqxF +eL7t8PxnngRWc7u5Jr4ixOrJ8AoPEvxkK5C54y+CfKK7eZUfAe0h7/1LkAhr +WqpVmv4iuHJ18VyLKBF2cJO7+v0JpLWjs23TRLAud/KkAglqVQxvuj4VYTzJ +YOpFOAF3scW0LzUiPJwX8uDBcYLjWzf5+DSIIDrVGp4dQWCeGDDP770Io2r9 +68MiCVLkq28e44mwlrOXo8Qh2D3llXNeaxQXW4aX9MQT9NM3c2sDRrFt94rP +rmkEJT5DVkMho4g6HJfFSieI6lzZqBYxioauy8aPGas31omdY0dh+4EuU80k +WFc8vHEoaxRqxiyzkizmPsfW0GrPR1Fjwrv29BqBo9zbxS4aYvS7Jbn9nEeg +G6n3PFpHDAuZ0w4FjPtG9+3KMRCjxW/RrlX5BJH9kughUzHU/RPbt99h5lOv +3xLNFuNg8+aC4EKC6al+QTkHxEi0rLXNvE9Q/rNs2dBjMWry1VdsKSOos4vd +zKkSY4VbxaEGxh0HFT6p14gRvmdn9+bHBOJSZcq6WYzv1IkA+3KC5dt07RP6 +xCju0eMsrWT6RVk0m8wewwXF5Fe9VQSXPu8f8Dg0hiTl65lNLwnyp9PhwqNj ++Nt+be+qVwRlZv6s+GNjkNN9fYnL+P2xoMX3TjH19PV1R2uZ+aueDJ68OIb4 +OqPbivUECTZZ0lk1Y/AcTqg1eMPMj9ug1aovgduxYslAK8EJo5hueWMJEj0S +L6x5y+TBtc5ZYyqBRqjbq3OMT3LvLsldIUEKq3ly6TuCWG7yhrBNEix41FES +2MbMm7sjWD9Qgnu2+3t72glyuZ+a/GokCFPO6OF0EtwySku/Xi9BvF1PXy3j +PO4Wl3dNEjisOZip0sXcn/ukDx8lCJbeInuF8X3u9SnVYabfNG/l4m4mb66P +2SOtcbh5Fwe9/kLQzCVx0w6NI3m/1YeGb8z7XbdUW//oOBz9MjYo9BJc/Bpc +sCp0HAqhPwfZM/acRzX7nxyHVMRqViVjfo6qdkfaOKa1h6/L62Pyyvu1oPDJ +OFYVthuGDBD8eS+6aafKBPSSOBo9hMl72wuvAPUJ+Jiy9bR4BHrDCqIE7Qk0 +KzsMbWH8bcl5rafzJmCaeGa4lHFIcY7XolUTMCpUiowdYv6DB3VCymsCb87V +TekME3won62VVzKB4+RcnJGAyVfh/O1lZRP4POu425+MFzqpWlY8mcCZl/FS +8YzD+LOcGmsncL7H7hZhrLVQPk3UPQGX1U/jSoQETukSFVvWD5hX020rRwne +Hema8dHnB1Z+ns/VlRA0Gt8eY2lMon9jxHefKQLf184VK3UmEbqwTeosY9lg +5Wgvg0lEFX4bucvY8nmI/CPTSXS9qAkcY3zDy17Dmz2Jhq+D42coHo5e+295 +2YFJxBuUWt6S4kFdS+/w3vJJbOcUBdfL8ODMSv1W6TEFV9a73dXTeSjJfxDF +2TcFiXDh96+MFTd1aG34awrNMXf2ycnzUBZjsLUpdAr2n+p/bGCsQd0r/e/c +FAYc02vrGTeP1MfJV07hrtwyuTczeJjrx5m9gEWxJ1KzxJWKPGyzuuCpqEyx +RZZecz4xDlfIvUtUKfYe3xt644ybb9VuvD+HYic+k+6ymMlDdI/KCau5FDtw ++bWlBYw7Xa99+82KYr/V3oULLB4UzO8vW2xNsTst8luLGFv8qI5SXUux3T87 +OL5mnJjVq9VmT7Ebi3ly02fxsPq9+VZ3R4q9NKnIKYTx/lz2JZsdFPtxRsyy +VMapwY79c50o9svwmNFCxgM/BXP6XSh20Y4jVt8Yq3+Nbaxzp9i0afJjKSUe +bIozdQu9KLbsRbt5uowPncz3/XsvxbbOvxW6knHm9orSgAMU28a29Z/fGf8P +3h3JEg== + "]], + LineBox[{{-1.076855513816225, + 0.8426991051605095}, {-1.0761010125161834`, + 0.8611367405953321}, {-1.0748558295736967`, + 0.8971463944942488}, {-1.0736106466312099`, + 0.9394577379574882}, {-1.0723654636887232`, + 0.9887825096134656}, {-1.0711202807462366`, + 1.045752707607154}, {-1.0709625349736496`, 1.0539935781374108`}}], + LineBox[{{1.0709725810041475`, 1.0539935781374108`}, { + 1.0714293500983036`, 1.0308702045098612`}, {1.0726790392311085`, + 0.9756633273539658}, {1.0739287283639132`, 0.9280099866811036}, { + 1.0751784174967178`, 0.8872418844427966}, {1.0764281066295227`, + 0.8526319413719488}, {1.0768535785654596`, 0.8426991051605095}}], + LineBox[{{1.0526840092371335`, 0.8426991051605095}, { + 1.0526840109067097`, 1.0539935781374108`}}], + LineBox[{{1.0501846366278371`, 1.0539935781374108`}, { + 1.0501846382974138`, 0.8426991051605095}}]}, + Annotation[#, "Charting`Private`Tag$2978900#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0.8426991051605095}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{{{1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-2.0514884216945117`, 2.0514884216945117`}, { + 0.8426991051605095, 1.0539935781374108`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, 3.714237644331621*^9, + 3.71423838237761*^9, 3.714239395610619*^9, {3.7143082194063873`*^9, + 3.714308247142568*^9}, {3.714308319830029*^9, 3.7143083930961514`*^9}, { + 3.714308799382699*^9, 3.714308818140257*^9}, {3.7143090986415577`*^9, + 3.714309199096778*^9}, 3.714309603240282*^9, 3.7143097173721027`*^9, + 3.714310140061274*^9, 3.714310672380919*^9, 3.714310721292274*^9, + 3.71439357126875*^9, {3.7143937330438223`*^9, 3.714393762637719*^9}, + 3.7143937939425077`*^9, 3.714400449835739*^9, 3.714739171437193*^9, + 3.7147392613657093`*^9, 3.714755299481934*^9, 3.7148067784238777`*^9, + 3.714807443165606*^9, 3.714808174359345*^9, 3.714808692060326*^9, + 3.7148090847780457`*^9, 3.71483049403199*^9, 3.7148315942188587`*^9, + 3.7148317908338337`*^9, 3.714832871422695*^9, 3.714833048025202*^9, + 3.7148350215333233`*^9, 3.7148350520243893`*^9, 3.714836047598082*^9, { + 3.714836304567871*^9, 3.714836327074108*^9}, 3.7148363910890007`*^9, + 3.7148374291199207`*^9, {3.714837724270095*^9, 3.714837750461904*^9}, + 3.714839281594843*^9, 3.714839485997526*^9, {3.7148399217687073`*^9, + 3.714840006646434*^9}, 3.714840752854959*^9, 3.714862651360503*^9, + 3.7148627021396103`*^9, 3.714862740801112*^9, {3.714862969293866*^9, + 3.7148629824280033`*^9}, 3.714863054085867*^9, 3.71486317733552*^9, + 3.714865815026454*^9, 3.7148658759899273`*^9, 3.714865938320684*^9, + 3.714866099372448*^9, {3.714906902368848*^9, 3.714906964342436*^9}, + 3.7149071068285093`*^9, 3.714992401471239*^9, 3.7149924647613163`*^9, + 3.71499272340639*^9, {3.714992783201962*^9, 3.714992810689834*^9}, + 3.714992857604124*^9, 3.714998519298162*^9, 3.715000485307694*^9, + 3.7150072939574223`*^9, 3.715007338683172*^9, 3.715008679832819*^9, + 3.7150087425044003`*^9, 3.715093138103307*^9, 3.715097504769623*^9, + 3.715097672970394*^9, 3.715355281265408*^9, 3.715359544903166*^9, + 3.715359799972622*^9, 3.715368503925208*^9, 3.715369266042727*^9, + 3.7153696466716003`*^9, 3.715369680270297*^9, 3.7153697982211237`*^9, + 3.715369833127049*^9, 3.7153792367576237`*^9, 3.715379353669621*^9, + 3.7153794693369417`*^9, 3.7153799919059668`*^9, 3.7153800219739523`*^9, + 3.715380137520944*^9, 3.7153807680415697`*^9, 3.715380909939959*^9, + 3.715381048917873*^9, 3.7153820791572447`*^9, 3.715382202952688*^9, + 3.715382670493622*^9, 3.715383212766765*^9, 3.715410733790126*^9, + 3.7154659319412394`*^9, 3.715469196563748*^9, 3.715469236490838*^9, + 3.7154710297069397`*^9, {3.715472100645568*^9, 3.715472110495318*^9}, + 3.715472274463047*^9, 3.715680593645351*^9, 3.7157127247545357`*^9, + 3.715718882482428*^9, 3.7157192871537447`*^9, {3.715720562070365*^9, + 3.7157205734647017`*^9}, 3.715720707390379*^9, 3.715720746768032*^9, + 3.715766750288303*^9, 3.799284401216453*^9, 3.7992846953256483`*^9, + 3.7992858059269867`*^9}, + CellLabel-> + "Out[1812]=",ExpressionUUID->"e265534e-16b3-4b42-b52f-abc6cb9a27bc"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + "[", "\[Theta]", "]"}], "/.", "sol1"}]], "Input", + CellChangeTimes->{{3.799284946143475*^9, 3.799284958684032*^9}}, + CellLabel-> + "In[1813]:=",ExpressionUUID->"7ac3a09e-22d2-4d33-a30e-56639c96b281"], + +Cell[BoxData[ + RowBox[{"\[Theta]", " ", + RowBox[{"(", + RowBox[{"1", "-", + RowBox[{"0.9044634267404724`", " ", + SuperscriptBox["\[Theta]", "2"]}]}], ")"}]}]], "Output", + CellChangeTimes->{3.799284958958112*^9, 3.799285805980298*^9}, + CellLabel-> + "Out[1813]=",ExpressionUUID->"0666fbf2-c178-42a8-96df-5be3d772aa08"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol1"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "-", "0.0001"}], "/.", + "sol1"}], ",", "0.0001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.714310207432946*^9, 3.714310214897394*^9}, { + 3.714393666840551*^9, 3.714393672892824*^9}, {3.7148630616658983`*^9, + 3.714863062345354*^9}, {3.715469253144979*^9, 3.715469255605259*^9}, { + 3.7157205795656*^9, 3.7157205858306303`*^9}}, + CellLabel-> + "In[1814]:=",ExpressionUUID->"a3593843-2cda-4b7c-9c4d-15625faf39d3"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol1"}]}], "}"}], + "&"}], "/@", "func"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714309222500064*^9, 3.714309223072945*^9}, { + 3.71483162346412*^9, 3.7148316239436073`*^9}, {3.715469260046997*^9, + 3.7154692641508636`*^9}, {3.715720592032835*^9, 3.71572059691646*^9}}, + CellLabel-> + "In[1815]:=",ExpressionUUID->"d7162b7a-39b5-4cf9-83a3-8fc27b76caa8"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1815, 782, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928441750051*^9, 3.7992854770062513`*^9, + 3.799285807600618*^9}, + CellLabel-> + "During evaluation of \ +In[1815]:=",ExpressionUUID->"d4549c8c-60e9-4058-a137-fd3081f75f0a"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1815, 783, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928441750051*^9, 3.7992854770062513`*^9, + 3.799285807688669*^9}, + CellLabel-> + "During evaluation of \ +In[1815]:=",ExpressionUUID->"8784fde4-791e-46fe-8da0-114fe6e20254"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1815, 784, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928441750051*^9, 3.7992854770062513`*^9, + 3.799285807762195*^9}, + CellLabel-> + "During evaluation of \ +In[1815]:=",ExpressionUUID->"3de73729-5a3c-495b-99d0-1fcea3f6fdce"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1815, 785, 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928441750051*^9, 3.7992854770062513`*^9, + 3.7992858078380117`*^9}, + CellLabel-> + "During evaluation of \ +In[1815]:=",ExpressionUUID->"d64718b2-6e3e-439a-adf2-f9c4f0c71924"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, {{}, {{{}, {}, + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwVV3c8198XtrfPXvaWkVUKkffNCNGQ8i2zrFSEpDIS0lJRSjSIUqJF2et9 +kpCiMiPZkr33+vn9c+/rvM45z33O8/xxXlfGxWe/OwcbGxv7+vH/G9dfKJZt +IYHTg+wfzSeEQUXznOmcEQEEUqZjVQOEQfkIfn28RRAWlPTnzl0UhmDG/NDh +FX6omCg3L7kuDKzbGkL+5/lAfXPH96W7wiBpMf7mlgYvbHsmXLc5SRiOjNjd +s6bwgICtTqz7S2G4mej72JzBDXumvu27814YiuTw0kPaXODrOGyZVywMo7K6 +4ueOcULov3C8uUIYQo5p8o6+4oC6do++yR/CUKdrcHp0lR0Uly/M8P0Whmhz +x7pdTuxQM1ajINonDB8vs4nuqmKD55wPMxTHhKFD+6DzdX02SBcLzFVfEIbH +Snz3a7zXcD21k0GbOAmgyTLf1Hd6FU+2HVHYJEyAs9Fbj1RFruAv3gv1qzEJ +4MazgSL/dBlvGjs3qCBDgLmOSJXmL0v47d4Ye1FVAqg9o8sOLC7iA8xzboJb +CPCu5OrnCO1F/LujtPqCIQF+6X4J+xewgDslOXT2mBPAnqHcFFA6j1/72p/y +dT8BwnYcKHwgvB5LBCRkOhCAIchIqXeZw+2fFP6L9SDAaAqLllUyi4eKhuSe +9iXA5tf+uV8lZvFHx+Lk9wURgCVak1QZMYOLaHMdVI0kwIOy8Vnr4Wn8ksmE +J1c0ATiq79VL2U3j5noFYb/jCXC0tVNv5OsU3tE9XZSZQgBn3wu7QnZM4elK +4XqRrwhwrDzxxr3CSdz3xhWmbQ4B4trKrDh0JnF9izB/RZwAtRYLUvdzJ/D8 +DcYnZqoI4JMh6S6vN4H7DnOyPtURYK+UY29k6TgeedkxIaZtPY9uBMTuHMdt +B2x57P8SQHtU0P3g0zFcPNMzRGGcADbRLe72xaP4I68I2tgCAay9fj1Zah3B +31US/+VxEuGIxeSf1ZVhPMp5hRgmTITyAJHnWgrDuKJ/SaoZkwh2waqdrvuG +cMn/rEoJMkTICO2753lxEGcWaZ9pVCFCiWV5Mv39AN6P3/3zSJsIqdENIcb/ +/uG+3eJkF0Mi9Fg94q2R+YdvLpZQUDIngsUfhwMxTv14WmK4xqg1EbaCzMXj +SX/xZPZG02x7IrAfGo006OrDL7abXwhyJ4Lwk2ypIcU+3LYxZxD5EOF60v3n +h316cbYdT57yBhLBMk1iyLuwB19W3FpQG0GEF1/oSkS+HjxM0MHo/k0ifKiu +aFc41I3npT+3drpPhBFHq8+PMrrw7FjHRcVkItSXNWXar3Xih99f2TueToQo +zWcR1radOFdpu2vhByKUmnKoNTh14ENRnRaXS4ggdSHEXZHejnfuq6BaVxKB +e/7N5NnvbbhW8416iZ9ESDn9KDv11m88NHr84VArESb8RQm397bitfGBwYW9 +63pUhdSI0lvwvwX+V6JGibAqN8dQam/G35vOfLOfJ0Ic8fG+xxlNOP/MmAaT +nQQfFKqIjkGNuKzBxAZ2HhL8YXbyWu9uwEesSpqGBEgQoWqy6CxXj4/pB5s0 +E0kQEuScdnr5J+6ioh/4iUYCRkkRnP71A78mNBeSKUKCwYP8+XGnvuNjx+/+ +lyRJApf47zXftGrwJ8xO0i05EnT3h+q4LlbjT4YTMkOUSPD+0OTIpqoqfM7X +w9BbjQRWRvvtmI8q8AtX2z86bSLBIZFg45HT5XgM5bKRtQ4J7tvcLI7dW4Zv +uPet0sSABHuvXKf1awJO+MI4rLeDBIXPpm7FqRXj6VjOivpOEnha/W015MjH +6wYHihUsSXAlmd0tpuMDjjL7EyX2kWBF4D/+xKh3uP5UXRrjIAnKGicINzzS +cDexsi6SHQneuBZtX01NwpeZpfuFnEkgHOhGs9K9hRd3lLHzu5Fgn1V1YkTP +AUx9BJ/hOU6C1F6zxN+id7DZvIQtPKfW+ewNyTZ0T8b4VBWqePzX9div6fJP +/SWGMzdl850ngXet3LOPg+8wsxfhbEIXSJAXH2Ue8+0DZvXp6wdSBAkeVSYc +UkrMwwajShsYV0mw+WH9VZtjRZhI1upxyZsk2CjSv1FHFcea+zcEbbhDAl8j +fHvImY9YvlGN4Kb7JIgP561y3PcJu5AQqGD4iARI4kqJtfJnzK77XY1lMgms +CysVjq9VYLMJQwL2z0lgJ1FyM7uuCuMipfSczCAB6eUtXpNn1Zjp9+1Ooe9I +sNitrrfB7xtGHFQKj80mwTX/cltvg1qM7+Cn/S8LSBCX1xcXy/ED49nm2YKX +rvvFFIh52/cD89jlLdbyiQR+LyoS7lT+xH4S5aSmq9bnVZ64bPSyDjuq3zhI +qiVBgvX8UuXVesxvqjpSo54Et+yjzih5NGBTUmZTe3+RYNO0EnbCuBFzzblm +cPoPCbKPvoq4K9WE3Vit9rjfTYIvDe8MMxabsL5e0/PF/SSo+7lsld3QjA3r +qJ/rHSaBuX+9S96bX5jiVM5xwiQJRBw3Uwout2BbLwnZbptbx+Mnfy11aMXy ++J2NPJdJwKd1sa1m029sW/Iv7QR2MqR3fQ0Y4m3DdB8+3VzNQwa98Ttp4m1t +mFhFr8mqIBl6MNzN490fTPzN51PaZDJUPrh9qSa8HVupO5HnxSBD3r5LpbY2 +HRhrel4+TYwMU7lJdpyUTkzZ+F5JjzQZVBxyZ8cDO7FtL45clVUkw9/LtcfP +dnVi9ZPh11xVyWC7hbM9zrwLO6UsXvlCc/39uHQ/63dd2OFMG4vhLWQQ2vNO +5xW9G1u4tZuurU+GODSr8zy4G7N7qqEVisgg2vzaZ0dXN+bZKf2s2pQM5vzP +fobv7MH2XLHwE7Ekg5H5452er3qwxIP1KSf2keGUZ9KbWWIv9rt6YFvpQTIk +Zm1vUz/Ti0UfKDSi2ZPhzpa/SZRfvRhn1Bnc6wgZflyVLXim34eFHN2VV+lO +hmvzHX09SX2YhoevpsJJMoyezGxuYP+LtY5IaF32JYN7J7/eebe/WPnuW3h/ +ABk+fL/0+nvFX2yOuNxlFUwGmVOUmjalfixnw6uk7DAyHBjA1FOi+rF+hY4l +yStkyMp3dZAc7se0vTvXbtwgQxjzV9vB3f8wTo+lzKXb63xz1NQt3v7DmO/D +6Kfuk2Ei37FqgTCAbTvyeXPPIzLUiiyKH/cZwK5IyVHsU8jQ5+cQn/B9ACs6 +PZ/b+IIMv83rH1/XGMRcel4q2bwmQ9tYzc3tMYPYF+1E7/qsdX8WeD7mjA5i +y/eNb9rmkaHU9c2tqd1D2PcW4o22YjJEe93cMf96CLv8JNjXvYwMugabFD8L +DmM/YniMJyrJ8NaWHmZ/Yhh7GrWVP6yGDAYj+dHFVcPYYmv8F3L9Op7Ij5sD +iiPYj+MlUS9+keGp4JHMnsgRjDCBbAzbyeC8uUvldfcIdlP9k3JLDxnMfJ2V +TdAoNskYpp0bIMOnQw8aXieOYqb8J8VYY2Qwvitp3b84iq2wzxkXT5PBa783 +Pv3fGHaudk+c6yIZ/qwRDJqyx7AnSI9BYKPAc/5Wnwq+cSzR5XJNETcFrt9L +6xDSGce6MgTKvAQpQMxgzhq6j2OamumL0mQKWLQLbXO8O46Jt1uE/mJQADfJ +0vT8OI6Fp7fb3BWnQNntCMcjY+PYxc8uEdayFNjX42i0U2ICi/rVSqIqUSDF +/IazqOUE1qR1kOeXGgWWBqo2/zk/gXGtDRxP3kyBEzMHDWJeTGD6EUVGXnoU +8DJcmdZsmMAizWfj9TEKdCZI/Spjn8R8j/z0JZhSgDVV4mSqMYmZ3olu6N1F +gSsal9gKHCaxwNig6tJ9FPgPr9ksGTWJnTEeOfzYlgJKnAXeAXmT2GCPRdQF +Bwr8Oa0oi/dOYvlWay4uLhQ4d6Pi0xJ5CutVuja0y5MCLddlylWxKcxV46Sq +zikKsE08ubvXawrTd9RX2XCGAs1/YlOOPZjCxDUTxkSDKBCy0cDhTMUU9qJL +7RIljALu3k2aZ6emMK5nOcPCVyiw693jG97S05hty8xm4ZsUSBKva7bbPY15 +2ZUdIcVSwMX3y0XDoGnsYMZyEDNhfT6j4WFW2npe716UbBIFplXKrg7WT6/j +XYnXSl334/Nc3ge2Gax0uCPdJIMCidfde8+ozWAfKwq/2GdSIP8yw1/dbgbT +/IbWzuZSYGB6z5fOKzNYTXnG/vvFFGDmxVre/DCDifWjbwVlFFBMe+Wo1TmD +bROzP9NVRYHuxncuP4RmsY+GR22Ev1NgYypvyXG9WWzZ86vf9kYKdH32r11x +n8WiNGV/+f2mgKACdf5m7Cy2a2I1OqOLAhFvPR8y8VnsAlXoSX8/BSY5j9KT +hmaxVBtusvIoBRroh6qkWXOYmWD+yKlpChi/kKQkm8xhqUGchgWLFNDLW9sn +7jeH3aa2CPCxU6G443N3XOIcVl9u4GjPS4WM2yAvXD2HSZqZGn4QpsIpoy/+ +EbNz2OUT4nlEGhWod8w3zsrOY7vc1374ilKhaKd+hufeeaxQDotrkqZCxX4d +i9bg+fX9iIR3bKCC3AdfN8uX85g++YJRphoVXlmU2hY3zGNfIyMM5bWp0PU8 +KUiNfQELHZ4SSNxGBatSA5UnaguYQ/z1LNEdVPB7dAYn2y1gtuFkg0QzKpyY +a757+coCdv+VT7b8HipMfXvPtvR+AbsZkCSfdYAKWCfR+XTHAiY+//a+kT0V +9HVKeIcFF7FLR7/QWo5SQeL6PhtP3UXs53619DOeVNj+TPVhv9si1m24yYnu +QwX+z2HaJ+4sYl+rzQyLAqggMmkbNF6yiH3SmLXxCKFCrH70p6DBRSwwqT2d +cYkK5zh6j/EzlzD11KJd365T4YjWXOlj4yVM+87RHVdvU+G4r5X0Ft8lzKyr +NMEsfl1f6/09dY+XMPvnbfbCSVT4cd7d+eyX9XisPe5XKhWOFjcMSc0uYQEY +9/70V1ToMOrr+C67jLlOZTy6+J4K2Y+aYq/sXcZ888xC7Quo0FP3194kZBmz +WfDh3g5U2H3JNpY/fRlTdGw0kK9cx+v1utXUuIxJaptpkmupoNAcnPqKYwWL +mXk/xNlIheqRHvXrGitYcIF88PJvKvSfY0X6OKxgzNzKwcXudX2uPltyur6C +pZb+3bk2QAXReeWR/3JXsLny4Uf8E1RwO++Tadezgmk5us+KzFMhM9ou8Rhp +FXtrvOKiuUaFtKfzghe3r2JufRGjVjw0MOCNOJByYhWrHPz73EeYBqY8Tt9r +41cx0c8G9xNoNMgdUWzk/byKqRoWfasUo4GizNtSq8lVbFKgxHZFlgYNG9n6 +EqXWsNtHPu7QU6GBYLtnypLVGrb/ptejYK312Oncbo+gNQyLvuZXrksDERsO +4/a0Nawol7uOimhQw72xzbVxDeM2W6o+bkaDTtMPBcHsbOgx7eWJij00yF8u +yrJisaFpDX9c2ZYGb61wTgUNNiQRPdx815EGOnFBf7h2sqHXOTVlXO40ML73 +22vYgQ3Z+CxGh3jRwPAGR+dvfzY0dD7ccsmfBjzeJu71UWzIeXsib3gwDRyE +1FTrU9hQV3R2nfAlGozuCz/yO58NHV3/FaZE0cDfb4f28Hc2BMk2DQaxNPDY +9KqRu58NxdXeUul4QINwVYMzSqtsaM+08vdrKTTYSc7GDtDZEe5wvk4vnQa3 +eZie1zeyo6MnFk0mM2lwYeqdRJUxO7rm7arzPp8Goj2UOyR7dtQX+qAwENbr +PaWmXE6zozSn3A7zKhqMCHAG4NfZ0fJ/fPlSP2igV6BvrpjCjjyUqQdXm9f1 +3PkwKT6fHTVP3K7q7aBB3JBJBvUHO7or6y9f30+Dk80FiQ/72ZHJ2Z6gL2M0 +yICfrzausaOtIybtlXM0MLpSxlvN4ECDtdpHa9doMN0k03danQOxZ91g/OGl +Q1d3/7kNOznQ80tO5GkiHb6yTk/3O3IgzdQ1NyqLDoeHL8dkB3CgjTNr8vrS +dBB4aRN66xYHurms4X5SiQ4JuwJnTz/nQLp8KXqpmvT1/c6t7l7CgfoOvcjt +06VDh1mQvVsjB3KxaRrX2EGHxHs/cnxHOFBuvuBKhAUdXEuCzkRxcyLNPo/x +dms6qAwc+54lwYkuMfZ2GtvRYVaJd+3vFk4kVODfneVCB6WsXQYqezhRfXGN +kPJJOtyXfgXBHpxoeiI5IN2fDrXNKhW/QznRZu8LmzeH0IFw5PDVXfGc6NY0 +cqyIpINQty1W9Y4TMc6wBFxv0WHL22blg1WcKCA43Jr/Ph3cmjZcmujkRHvL +LS0LkuhwtEX9WuICJ8r6+JDon0YHhaP+Zw9TuFC5bn/u1kw6LFOkbiqocqHK +bjY7rgI6CJ7j4OMw4UKcoiRK20c6nB9LUB5z4EJOMfHzJdXr/KqEtEYCuNBb +wbMbMurp4OWo77wczYVmtv3LT26jw9N9BTPiL7kQ/6WoypQ+OlC7mrbu/ciF +3vXZnXozSoeN+1Pd77ZyIdZoYdWnOTrk+Mx+HpjiQmsZfpO9bAxoVDr5eL8w +NzqV/YaXLMAAB7NT6rWK3EgY41UwpzJgxw7DMgfEjQwNIo5FiTNgVGEiafUw +Nyq/enu4WYEBmumBQtn+3OiFHK1OU4MBapavbS7c4kabI45ujdNlwPgTk1K7 +NG4k17FDl9uIAb65g/etPnKjgbSZ2TBLBkgn6yrb/OZGH6e2xvIdZEC5KHw8 +NcONiEIGKo+dGPDOkfT2CZEHFXEXduh7MqCWv9jgrzIPsj7ZX9/vx4BJ5Fxi +ZMKDKhZClZKDGWDf/Twsx4kH8fmUrbldZoD6mPUvw0AelHfyQsjWGAb8Yxkx +O+7yoGxPvjLaAwbsDzx/5/5bHvQYLKfXnjLA55zMY/cvPOhibZnO/GsGOLU8 +vGXVy4PYZC9mreQyYIwruMRybR3vi+pV0kcGbPVLiHQV5UVp2aQOza8McNlF +3n5vCy96rMrodGpkgI2FjVH7Pl7E51qV9bCDAfEgN7HDixeJKtqH9A4wILUr +LQ2/yotCHr/xNJhmQMk278//PeNFVSp7kp+uMkDM7/QrAZwXnfMJ3c3kZ8J7 +Hc3iX6286KyDzqOHVCbcu/LUvmyWF4n4qOVslGRCNnX/WCWFD63xNFbWKDFB +gOTUPqDOh6h/PNhCNzPBSuXKHSVLPhT0qPfmdkMmpP3R9o88xoe4H0g8FrJg +wh3+qLGVS3xIN++D45ANE5p/uZ+JS+ZDj9ylOVqdmDC66O9nWcKH7n4tKPx1 +nAkBmjqHpFv5kI9IfkH/GSbIa9If0+b40DiH/ibeMCYs97m8V6LxIz23vYd0 +bjDBlORHcdTiR5WUmSPn7zPB3PDBlvd7+NH+NvmI6hQmPNC2jFfy4kf6OU2T +am+YQCgUzYHr/EiWxTf0NJ8JZj9rCMFp/Mg/oeyZcjkT3NxOKh76zI9sM2T/ +K/vOBA73XWGHevjRjhQn5P2bCeeOyTwLYRdAGv9qHqn0MyGqiMH6LCWASs6M +v1icZMIWgZ8nNhkKoOPnzyb/WWXCeNA15c8OAuiStXlVvQAL8j1ZfReCBZAW +Hu38h8ECsXSyluNDAcRuV/RyUZYFeT41z1wL1usP3ulX1WCBxvewpju/1vFv +qB/102eBXs8+939zAuhmM83hqxkLtj0/NnaMKYgk8M3S2w6wQPQ8P5OsI4hy +/SdnS46wIODUq/BeW0HEprxN9T9vFtgdFPjVfVYQLVSG8fMEseBwlFGFULwg +UmNv6Ki+woLsF/+WXPIE0amy3pXnd1lwnE9u499mQWRDo+bEJ7Ngo1G5cPy8 +IHrsGnQo+Q0LDEI87M+KCCFD/VUDKGTB2o+r9ZHbhBDxzH8Fc5UsyMpM0/1k +L4QOd8gomjWyoNfW3XrTBSHk7jf45203C6ocn/yrSxJCyRPbt2uMsyD1wr2a +5yCEurbmP61aYYF7JHfDq24hFDND9QkWFIHxu4ca+riEkauiPre5iAgMZJe8 +OrBBGFkLHapW3yACnnUHDBYshFF5918FzS0ioK900LvBSxip6VWFWxmLwIje +VtX+GGE0wH1gV6S1CES5th7b9EEYRZ33Hm12FgEjkSLRvCZhpBsX32F2SgR6 ++hg7zi4Ko4VkgdiGEBFYMpFp95UkoKqT1SGhN0Tg9DHtpTQjAuINK1lflSIw +zcH9UvwYARWafu5TTReBesNfi99vEFCdbPMRzXwRaP1TRPqUSUAtLxiEA5Ui +kAkgPNdIQILfx/3jm0TgfbuOhPcSAX301RVf6hOBLY0TfooyRKTUYnzv4owI +7NIK3ylvRkTL7wW9FbhF4VTcxT/HvImI18hSf4QmCuG9jeGTd4koivdpfLO8 +KNASeK9+LiQir65cyT5tURDzDbfo7iKi1AIHP4apKHTXBzCfc5EQas3X9joo +CsfGMZuLLBLatHKC0u8uCs9Ds+6FbSShQq28/KtnRUHiZnhiOiKhvW+zWvdc +FYXB0WLtpQMkpPzGS3N7gigIflxQPHuchC76Kp2zSReFMYtbO8VCSajhxmW/ +2EJRoISWnxyKJSGZ+IL+xa+i4L9VKqA/jYRKT1ak3fojCvt2R5uRSkiIi559 +2XJMFH5WZtd61JEQ5WGN/RZ2MejZvnFlqJ+Ertd2ClhRxeBz1rdvySskpH8o +POi2ghgcFpo3vEIlowKxvQ84dcXg57kBh0RlMtI2RY4vdolBQhOfbj9GRgkb +xj4FOopBUYLRoJstGT3UGK4L9RUDg61u95neZPRgIy0h95IYvHl4wZMtkoxC +tg4py8aLAaXR7L70IzJiC11OK8sQg3TXO86B78lo32FM/0GpGLwLzCQIVZNR +UW84I61ODNzSl+Zbusgo5mHL2ZG/YvDbweJi7wIZ5ZuKpnoviQFvwlmCGoWC +LD7aTCiRxGH50oxUjgoFhS3blkgriMP0XrdtocYUdKDCyN92mzi4salNXneg +oMxR1o2ve8XhYI36YEsABQkccIgKd1/vr/Br8ImhoOyr+VxBweJwLKTv9O50 +CsLzPzzOvSMO20NUE858oqCAtye59F6Kg2vMKaX+PxT0/ZnTKgcuDvXpZqJp +8xTEGENOjCZxyEjOOpdLpaJ3pzv5A0bEwbdGyJmpQUWnhxiL0twSUNG9mevb +Liris/ymLy4hASTbZ1lNHlSkekJgwnOLBOR1Zn/Ru7TeHyy3n3+PBGSWj1fO +PaGigO/Db9c8JED8xVkjagkVcScQffeEScB/yxeHolupaCHWjzX/QALI+1dj +veepqPp53s61DxKQCv8pvWfQkOD73lyPWgnwOGxS7LyFhl4pME20BiTA4Mz3 +iMADNPRP0HPwKJckCKiHNXKcoSHvrNGqJSlJCCx+vWXtLg0VGA3LcRhIQvzT +5T2ns2nIR1Xu2PlDkhCxU3LRuXG9/7iTkkuAJHCNZGPfZmlI6YqayqdYSfib +GWlfxKKjZpdWpyeZklCW341r6dPRKp40tFgrCd/SfUW0neioaFZqY+uIJHRr +qdpUhtPRHiPd3B3CUsB5oeHh+HM6el9Pd9qqJgVuV8rdc6rp6OFs/raS3VLw +K1jlrNg4HbHhvzN+n5IC9e6vnUoMBoqh77WLvy0FHm17qb0GDLQjptVs9r0U +FPYr/rZxY6B0y7dfVxulgO+5jPfFmwy0acv5pLwFKQgc+up9KoeBLLcljFOJ +0nDieOqiUgcDGXe0xL6SkQaTHKvsPH4meg2yxS+0peFF288vcluYaGVUMIff +XBrSTm/iPneUiT4sXiC02EsDccyqpSiaiVqQ1ksRX2nwpnn6rRQzkfTtkbwf +kdIwZBxTZjbMRD2qqT85H0rDoDfPkzRxFloouzSe/04aJpbkv6nsYaEIV9Xw +2c/S4KwyI9oZxkIb+ZW8P7VJw0eMJ7I5m4W+7BnfsGFaGtLzpnfKDrKQhc+j +EmUhGbC5b0KolxZB7CGPe+rlZWBh1Jy1ekgETZNaBDUMZcDkyYJ7QawIcrwW +GWR6SAa0rCrHxWtFEOGpobOsvwwctMr/ZyQoilZHiZM/o2WAlO2ybLZLFPE8 +ZYs7+koGdG9kv7a8IYq25WstdVTJgK/hxFvfWlHkGh5v69gvAy8vdjv/oYoh +OVbRrSEeWZDmW7UsthdDl84aBydtkIXBn9hPgxdiaM3rgt5NC1nQda3ovDsl +htpSckJqvGShZnyhf9lYHEVG87CF3pGFWJvDQ4Xx4si8xJq/JE8WHGPVOkXG +xFHK7bsCbztk4UhZrq3vLgmUtlbuGcgvB+mmx27KZEig4Bgr/91b5KDxkwFP +MkES5T6bfujsKgcDS14dvucl0ZcxvpWRu3LwYMpGQPOfJDpyKNx5R6Uc1L7t +/R3nJIWmS49XvluRg2+2P46Gtkmhja/t+p7oyENXSF1yoJY04hn+mnkrQB7O +qwqmPA6URjsuby0g5ctDTyM5xa9SGt3l+bnWuyYPWU5DhbNiMuiwacSbud0K +sHehq/70eRkkKi/RFvhMAdjzjx+91y6D9v+U37PCrgirqVNHnu6TRR9l+mWf +nlSEl7/j1Gt/yqK8qlO6rj2KYB5n1FHuIYdMhYUaE703QDfZ50AFQx7pfaBI +M8hKUNci9n5uRB4J6ZyYlWlRgnGH5BsSnIqoTS3lEPtvZdgnkYUOXt+AZu3M +dx3fqQo5lZPaBXIq6GjT4eh7H9Tgf6p1Tfg= + "]]}}, + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, { + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwd13k8VN/7AHCGYSz3zowZxEiYFFooKVTcrKVS2ptsIWSvZC1b9qgUskUk +awhRSe4jUqFSUZaUbJ9UKBTJ8j2/3x/nj/frvu5zzrnneZ7zuop2nvtOUPj4 ++H6gQfn/0ZR9pZMNFx3/pD8e5ieq8Alpu3dskKvMNvE+zAeNJSW5iq/ZkK/7 +bKpITQSCrMW3OTezgZHNL2S+FwNtumtv6VM23Ghx7r9gg8Ek+cL/N7Ahtm3h +9HfkUi8VqS21bDggd91+GNlZMaoi7D4bvlCatv5EVno7ZP6igg0D21XOzCL3 +hhl9p5eyoXohqkTQFoN9g/zLb+SyIaxQxkwGWTzJFgay2GDQ2lDARX5mTFqq +pbOhR4WQXou8Jf9c0v0ENmwUtZU0RFZ2mRZ6G8SGoSiPPHfkmfEfI0JH2YBp +qSs/Ra64uTNy9wE2zJ9Rt2hDdrcoUkrcwwZt3pKoHuT+CqdjiiZs2POgbOkE +csvZ/tbNmmxYZTn4bdlxDDL/fSjzwthw5KMgKwjZSLjhbHc9C5aOp4gY22Fw +t+iMwqbHLFCJcqyxQJYzX95y7QELkkTf+Vsj/06MUNhdxoKgIg8lP+Q8pe0t +ZAYLpD0uqt1BFtF7qXDblwUOtm64tD0Gr7w/tHiuYYGpVkr1DLLukmifVhUW +SPa1WAo7oPcfaSuqLmeBYN1vCSnkYEqaT78sC3gfeis1kTWuWCoepLFgb01I +vSfyteIvProDEnB2R47yd+Qj/d8VqakSUHL0eMr4CQwWQzVSyxMl4O5NutUi +cp7iWYb1FQk4UfpnHd0RgynbhYXqKAkQ23Gcro6c8Jnx0dlHAqyuJqZ4Ijd/ +1Epu3S8Bsyv2/5pE3vIhWDQRl4Cpw28MRJ0xGPBpDCVEJcBd295UDjlWSuTv +D6oEVHU/slmL3Hnw6n/G80wwVhVt3od8tj23cfo7Ey4qWcZkIJe+eRF07AUT +Hh5MeKp5EgOFVtakUjgTRJWsnp9ywcBp54q5U8FM4M0ekItGLm3WptYHMEE4 +SDk2E3nrCytpm1NMyAhQuteCzGvK35xuzYQ9LQkGK10xSILN4SwdJhyrE3Ma +QBatspcUHGPAc//T+V7uGFhs8JHfP8IApd3Tp2KRUyqjV+YMMqBWzpCXi7yy +okSH6GFAf96D8E5ko7Jpq3PPGSCRKGts4IHOp/Bi3lQOA9Lv5F7heKLveaNy +09BhBtTv0zIf9sLAR4aHhe9nwDXikCzlFMrfRL4BpT0MkLY/LCiPPHdx9yVb +Ewa4xfitP4RMDfhvsGcDA9bOF88+Q5Y6xLn6lsmAEpllh8tPY+AlJ9QVfJ0O +vGevV2Z4Y+DN2h/++BIdfvOOjD9C9hO9qf4vgg5eY2OdPcihMzqRPt508N7d +LiF3FoOr7e6a7hZ0GCO8lDOR78V1xPPE6BCW8N9QgQ8Gf+dyDbSCcQh21evu +8sPAritJNMsHB/1shvc8cnNV5FuaBw6PspdoKvpjkObhbPfREgfK6nLFk8i6 +favCLujiYK+f3DiLHNhQUf/mNwYNF+4bKgdiMB8DhIcbBqeOFOilnMfA0bGc +1onqQGfjlZeA/Mogp23bMXRuPQ8jR87/X31esJU0w2CJ/UO/zUEY6LmbhtSu +RH1IqsDmC3Lw3lek6IA4vNg7YaMVggG/9Ee9/KPiwJ9U7LAYhkFRhbPaob3i +UPLf2bB1F1A/Mv8tSTUVhxbTyk575JwIfNRugzjU3CpSf4FsNEWky9PFYVh+ +Oj45HIPoN7enkxrFIC7RwXBLJAaMOM+74epi4JPccagqBoMHK+fSNVeIwfeR +X4tjyMcboqP65cSALXZvRCUW9afZbGtCVAyUNxMhN5APnGwXnxsUBY2R5fUx +F1G+meicPJMmCr8lnds84lH+8wso2VFFgWmWquyegPabdD/v7pwI1IsWzhch +W6q6rVqcFIFaDyGpEeQUi44NGf0icPJ9Ac3xKgbMnHzT96QI9EHSnN01DCiG +u9zNAkQg30jkyMkkDAbDkx6sH6dBK3t1eWEqei5jtjV0mAbW+v0SP5EVShbq +X/fSgLaw5/HGNDRfh1OLWysNvqt6jjYidyjrfsorpEEakfRkMB2DpqZPAhwH +GvwtpYesz8Qgn6ayR6BLGBwomy1otzAQsvSbTn4tDI3xoWwbZIey51lqTcJg +Y2isXY2scOjkT4tKYXDM6sw5kYvy6VZRws14YVD/upv+4jYGl/TWtG81EIa1 +YreycgpQPXmvP+pXLAT4wL2wW6UYtD8L4xfPEQL5gPUKwmUYaHLeFWalCIEn +LWSVK/LP+jOzTRFCYONlHr/hLgYu9Kp0SVshsDixIra1HAProk2fKthC4JDs +85JZhYFx3xb70fNUKOyDe1OPMKDJrFMp8abCb7PT7x1qUf5bKI+6uVKBF2Dq +1YFs3oD5/jhChcYkbfzBY9R/8z7FftekQlyyCd8FEs3nFlIxMiIItHOfVmg0 +YHBlpoF/+KAgKPie7vvWjPJx3YOm27sEgfjSO+nSgoGky52LJwwF4bz24qXv +yGk9iZJDGoIQ3e1pPdaKwa26E6qDYoJQ5ejtNfsKg+pwYYv+egEwfVXesfod +Bj2MnTc/rRGATG+KzUIPBhIGTgtblQXgSn5/QuRHDMzOXLC8IScA9auKd9B7 +MajpeLTEUkwA5M2f7VD6hOZLW53Q9ZUCg4XzKeZ9qJ8ux8Pab1GAvDPaDYMY +dG96Y98sQwGVOi0d+hiKf3K0XpVJAfNdT34WIJuliSjE0CjQed16i+E4ij+3 +7aPpND+sbiQT/H+i+PUVB56284O9gbDh6ASKvzPRGC7zw7sSUP81jUGX9eGV +1VR+sKgJfeJBwWHfHnohb44PdvQH3lYTwKFZ/5na4gQfdPRO7PgPuUZh09rt +fXyg/BbrtqPikNEvpdVdwwdSN8XV7Gk4WDu+N1jw5INoC3VuDI5DU09Rbdy9 +RfJ0dLKNJweH6lpZ6MheJPfmH242ksMh/0Zsg/zlRfJXChPjLMUh2sal+e7J +RbLUlbe0WR6HnQOqne3yi+TiQfL8eiUc2r4VTMrFLJBVYbIDq1Vx6Pmbp1Zi +NU/++OMZ9HITit/iaKu1a550S63eUKaNw9UbK5If686TOmr02gQdHMy25fG/ +kp4neXbniKOb0X6ib3eOvZkj3/VR1k/o4ZAmnRupYTJHNh0PNtllgsMRrez+ +yrX/SAch2sPbB3Fo90pPq1mcIfUVc+9J+OKgUX9V+uWPGbIhpz7C2A+HeGZs +4ueuGZK1ZkWQvz8OJhV+lwTvzZBn1Ld/HQzE4eHkwTBz5xkyxjm15kUIDpk+ +DJf+tmnyqFDi0tZYHJzPReiI5vwht+rny9Zk4fAvyrPzqNEUOcAzjHd/iYPC +rdJLjeumyK+O7Wu+vcLBqG7USH3ZFPmE8krJuQ2HuCnXcsHZSTKOGoA5v8NB +/rhzbFnZJOk7s37BtwsHQvf4FipnkjSqM2N2DeEQ+WPfzbu/fpHPMJ5i3iIO +SjlubbjeOGmloSh4YxMdttXEZttxxsnRp1H9B3XoYPu24HT1zBhZ4Nonw9hM +hyzKENu6cowsOaCdHK1HBzl7q6MlKmNk5nH1rhhjOkguN+/fyRolB502K7/a +TwdanvpU9NdvJCf2drXdKXQvFk5IC1wbJl0fvdvYf5cOOBns6+o+TAo1T5dw +K+mg3i7+4Z3pMMnYxRpzrEL37MKK5Ny5IdJvW1TrxEM6TO47xjZxHCILsWIZ +hQY6zPxrYMToDJLSbi9L3nTQgd88SYTe94V0zFrrkTxHB9VBzz9avG6Spxum +MLKSAe7kexmN9Hpy1b/1pQdCGLDwMEM19SXoH/4cUXlsiAGLKSKLI4we/Zyr +h+ta7Znweaow7tvWYf3AgucHZkaYMPiRHrSldFy/QfBP3EKcBERoPB/S9p/S +Z7fyOp30WPB8U9xMZMuM/s8tr/nzJ1jQm+m11TBwXl+bo0QuR/8BCSdW+6aO +8hF7nRT9LyZLQq1S/opYCQHi9UTfoUoPKWijrx9f50gleomix1QHaTj3uc59 +MkGYMLr7dXW1xRJgfj5GdfshQsSE7p9LOCYDevWz+xbkxYnLZ/kT9/Jkwdvs +pm+MCU6cYh+8yD3KgWb+4u4T5gxiecF7fd3TcpD3OrL92gkm8blutnjluaXg +W/WNtzRRgli2NTvZN0seWsfe7OI+ZhE614/ELpDLwF2mRmbjWzZxT7N89KyT +AlAs1c7kLkgSgYMqDbL/FGDgcnr+MmlpYv/rFV9CIhRhu/QVU2m1JUSvntpk +MqYEOdXi3i4HZAgZ82zN69lKsN00NrDZRZZo671/Z3IVFxpKqwNve8oSl5ua +p6zWckFPaiAwxFuWyA7OJZ5rcEFzaPO5jUGyxK4l6QMZWlyQvzB6LidBlhge +kDtkos+Fybq9QQEPZAnW1icjqfu4kLlROlRNiEP83bZQaujPBZlMw1CqGIdw +te53Kg3kQiLVK7SPziEy74gtlwniQkz789BkGQ5R/Fo+byyMC96nA8IoazjE +tspPbalxXNhR2nuhez+HGAm/9PhnFhcaJUXDq45wiJtXRAuP5aD1nt8YfsWK +Q+zzTLjelMuFDbsuh5s4cQiXtPLzGYVovd+IiIoADrFWs9t9eyUXUi3cI+KD +OcSgyc5TlVVcYD9MjXAO5xDMc8W+8g+4IBI9ESF/iUMIP1oVP1XLhfBx+ci/ +VzmEo5Bxhg3JhYVDOyPbr3MI3h/90uZ6LvjX+UaWZXAIlpZMg1YjF6aUcyNj +szlEgNfL7ptNXPgfCjcRSw== + "]]}, + Annotation[#, "Charting`Private`Tag$2979042#1"]& ]}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.339416822971297, -9.834239220428765}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.339416822971297, + 7.046118345915609}, {-9.834239220428765, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.006367567650246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.294049640102028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.699514748210191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.85366542803745, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.987196820661973, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.104979856318357, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.305650551780507, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.392661928770137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.472704636443673, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.546812608597396, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.615805480084347, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.680344001221918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-9.903487552536127, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.819778284410283`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.41431317630212, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.126631103850338`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.721165995742174, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.567015315914915, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.433483923290392, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.315700887634009, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.111728083308073, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.824046010856292, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.418580902748128, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.264430222920869, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.1308988302963465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.013115794639964, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.8971199848858813`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.714237651648513*^9, + 3.7142383916598387`*^9, 3.714239403751025*^9, 3.714309211850031*^9, + 3.714309261042088*^9, 3.714309732210947*^9, 3.714310154972595*^9, + 3.71431023276715*^9, 3.714310694480132*^9, 3.714310740933058*^9, + 3.714393602935491*^9, 3.714393680229053*^9, 3.714393739396183*^9, + 3.714393770144878*^9, 3.714393800313098*^9, 3.714806781373952*^9, + 3.714807455026805*^9, 3.714808697123797*^9, 3.714809086773779*^9, + 3.714830497321988*^9, {3.714831620188748*^9, 3.7148316289374733`*^9}, + 3.7148317985123463`*^9, 3.714833059002692*^9, 3.71483505932909*^9, + 3.714835112635359*^9, 3.714836052389894*^9, {3.714836320367176*^9, + 3.714836330124798*^9}, 3.7148363927162323`*^9, 3.714837433922267*^9, { + 3.714837726830574*^9, 3.714837753898795*^9}, 3.714839493280683*^9, { + 3.714839926507812*^9, 3.714840015177497*^9}, 3.714840754831308*^9, + 3.7148626520471*^9, 3.714862703968164*^9, 3.71486274283499*^9, { + 3.714863057019565*^9, 3.714863064309969*^9}, 3.714863178562976*^9, + 3.714865816451881*^9, 3.714865877028667*^9, 3.714865940494349*^9, + 3.7148661019375687`*^9, {3.714906904061393*^9, 3.71490696741742*^9}, + 3.714907109369018*^9, 3.714992528875145*^9, 3.714992733123209*^9, { + 3.714992795935729*^9, 3.714992822718759*^9}, 3.714992865411003*^9, + 3.71499852779346*^9, 3.71500734721968*^9, 3.715008750375513*^9, + 3.715093149566228*^9, 3.715097512401636*^9, 3.715097680180244*^9, + 3.715355282381174*^9, 3.715359802419551*^9, 3.715368505193512*^9, + 3.715369098833323*^9, 3.715369270969144*^9, 3.715369649416274*^9, + 3.7153696826957808`*^9, 3.715369801017415*^9, 3.715369835119905*^9, + 3.7153792390133867`*^9, 3.715379358519333*^9, {3.715379993391427*^9, + 3.715380023194332*^9}, 3.715380139289197*^9, 3.715380769431817*^9, + 3.7153809108144817`*^9, 3.7153810505479*^9, 3.715382080378707*^9, + 3.715382205104259*^9, 3.715382671550989*^9, 3.7153832134838343`*^9, + 3.715410734865239*^9, 3.715467181251769*^9, {3.7154692636257887`*^9, + 3.715469266001438*^9}, 3.715471031892529*^9, 3.7154721126421013`*^9, + 3.715472275927952*^9, 3.715712726366378*^9, 3.715718883951441*^9, + 3.715719288466812*^9, 3.715720599432063*^9, 3.715720748131956*^9, + 3.7157667548030024`*^9, 3.799284417867214*^9, 3.7992854774363823`*^9, + 3.799285807946724*^9}, + CellLabel-> + "Out[1815]=",ExpressionUUID->"2e6af65f-303d-41c4-866c-594215611a6a"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol1"}]}], "}"}], + "&"}], "/@", "func"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.7154692706538363`*^9, 3.7154692733017*^9}, { + 3.715720605159677*^9, 3.715720610919311*^9}}, + CellLabel-> + "In[1816]:=",ExpressionUUID->"1224cd4b-9e85-4d05-a47f-f6cf5830c8e1"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "\[ScriptCapitalM]0"}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, 3.7142540416013527`*^9}}, + CellLabel-> + "In[1817]:=",ExpressionUUID->"8ce43abc-018c-412b-83e7-2af9ee5f5be5"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, 3.714254694969582*^9}}, + CellLabel-> + "In[1818]:=",ExpressionUUID->"c86358f2-1b75-41aa-8e26-58c351446225"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{{}, {}, + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwddnk4Vu/3tWRWZhJFhpR5jkr2NlRIqJDIXEJJmVLUl0IihUpCKCUfQ2kS +hTQhVIZQhso8T51znsfc77zv889zreucve+911573UfGw3//UVYWFpbJFSws +/+/fcEPL2L4dN+C9hUPF0jUCqMrM2/eOpYOe/9D0t+sE9G9YPBPbeA90cvff +uZ9IwNGCcYs/5EPoqOIrDU4iQMQk7O3whnxQbIq3Mk8mwPSFe9gz28fge1LX +Zf0NAhYKfm3aZPYU3lEBwzM0lvOtyxj0eQ5T1Y8mq28SMN6nrpl9/SXcPK8d +kHGLgDB1s8TDZa/AeVNAUEAKAeJH+MPlh8pA6Uw5w+w2AcmH4r+wrC2HZOrY +vHQqAWyHhYPnrSrhh1pNBJPGSUGWOxJMq+D6L8X4b3cIcHszu/zC8x2IrO2W +yEsj4HtmouRc1HtgCVTWjEwnICX+wHaXvA9QqeD8zTGDAN/SfqGRLx/BSb+U +oXOXgFbVAM9M6hOU3Y7I488koNC2a/6idA0YGM0OjNK4SurX8/Q9tTB32LW4 +OosAjne6IRNnP0P+YZIrJ5uAVUtftpzPrwMzcXL6f/fo83mHmdbd9XBp5I6P +830C5iR2ffYV+gLS1dJB23MIOOlrX9ts/hXwUKWgxAMCzHhdNyRc+gafJItM +5mhcssEu+ptrI7w4Lsv78yEBah8ODXH8a4Tq+wd8ynIJuJCu5O6f1QRyKsGu +aY8I+Bi88IDXqBnc7ryeDMsjQHOHy4lffc3wssRe3OU/Anh+OoaOXm6B5Myw +bswnIN/1cpKW6neIb3AE+QK63gcbYstavkOm+kbgKiSAa5OczsWwVhjfzvtr +nMYaTkeCr8u3wfSCwfrmIgIM7Aq1+7+2gZTM6NKrxwS8/v7N5dK5dhASMY7M +fEJA9tO6Sf9NP8CMLSgvupiOf9rRV9j6A+yYj4P8nhJg8z5t147on9DcLjNk +94yArgypzfJbOuDjpQUWeE5A0Fe++0eGO6Csw/fD5hcEPNf61LYioxP+V5+p +LvySAKsOn5llmy6Ida/etUzjqy4CCq6c3cDZLMAzWkLAQF7r041vu+FRbNG5 +tld0v6rLHXahv2CtTsOdD6UESKSLzPzV+g0GzRneT8sIGGPh3ssy9Rtky62H +s17T9ern5aH9Hyh7Kipx/Q0B4VdZX5a//AP7B6T/XSin+T99iYMh2gN/OLJT +/SsISDPlc54M6QFu69oht0oClNPizj/60QMscfUT+98SMGxFacpt7wUt2e6C +nVUE2HaeNvfM7IUGJU25re8IcBh3SvVh7QM230Vb1fcEROChWb1jfWDrGWQs ++4GA7V+PmzU29IGf+7fxNR8JuKbF5qej3Q+qEaZ2fJ8I6PUSsfFK6wfbEt7z +7NUElH2Q7TnGOgDyv52PLtF4yMpZdPvxARj8EMTPqCHgtEPRUM/3AbDYGB8+ +VUuA4dF6BxcYhNcfu4pGPhPwzOeA/7P8Qbjol/ugv44AHYefen/EhmBsaaPH +n3oC9FmXP45cGgLjU2lDXQ0EdFpGqTfNDMHnPpMtHV/o+iu8UlLdhiH2oaf1 +j68ElDtPSBk3DoP8VgOd9m8EPJz9QH7DEUhwFxxsayQg4IWAhemzEShW3OzV +3kTHc8YfvCc/CkIT1S9/NBPguOrG4ZHbo+DoptvW0ULvxxbzLKlVY9B5p7y2 ++zsBW3xzT5hEjgG3xKNrPa0EiAXfFHdkjsFYCyoOthEQNcWxfOTkOETptt8Z +aydgZ5TI/7wGx2GzRlnPzA8C/t0XYHd3nYAB1GOd+0kAf8ZDloM/J6AhNGeR +pZPeD+WpEQvbSTCN3tfM3UVATNAthMZJsC1NiRLuJmCl73D8lr1TMC5QJyL1 +iwDuZwuO2vVToGZiGqX4m4CMcHfZdRun4XmV63fdPwQ0u60h5Y5OQ0NVKIdJ +D+1HrfIhzx5OQ5PZhOS+XgLWSSqzfB6cBned9WJufQTExjAmvDfPQP4OX4Z/ +PwF6fQlZN3xn4D27fmXEAN2vuPFZi6IZGFk3fjJ5kABtgcq+a9Mz0M8zyf1w +iID6ITFLD52/cOjgo8TSYdpvXbvkqkP/gkLyJbYvIwRsuqXY86biL3xzmvbq +HSUgjrtk2XQlARN+zmWzYwRMjwwueJjTvptjsMQ/Qft3wZ/Da+h7onMFq87m +SVqPk6n5njSv/lVyrkZTBFQ+Hw4wlyaBa79EhNM0AT9+Z5rVHSNBws8tNWSG +gGKBGx+Gikk4JRL4X/Jfer7VpRE58yT0ZTW9eELQevijJfvPlAKxT0tvvpAE +rA04Zr14nQLD7LCqcYrOPyn8MqOTApaKpg+rmLT/PXFn793EACfpKzWqs3T+ +tnnmlyAGJFuqfrGeo/3pqrSFx3sGGNpatgXM03Xfe1OZLcCEwz9D+lMWaD0n +hEvFuzIhRBLn3izS92HjkJ7cEyZ0/Nsh1rtEwPz70799/zFhUIJ7B/c/AsiK +m1OeNrPgWmbgr8lCwqo3w2YC92dhcCTkseMKEuYPbm8+Tc5CaIzDYhQrCVlm +eaFxu+eAxzDasXglCYcMnqkfTp+DjZk5dV1sJGzQOTwzPDUHH9c5W/FwkLBs +YVKptXMexGRdhvQ5SbCYK727PX0eAoXsb3tzkRDxrfsu+9958HFgut7hJmFb +UXlLsvkCfD/JNK7nIeFriJfTwL0FkBjjM17mJeGBJZ/Dv/kFOHN5zkVrNQni +uxTIXttFOKEakn6Mj+b9ebh78pNFMGXZPXeXn4Si0UM/+XmX4PUxzXOtAiSE +pmVmOB9bgjyJZWk+IRJqS3qJ8x+XYEbx7PhuYRKMp26qB8ougz9vQM9FERJG +KyXyIHIZeB6+YXkrSsJN4ZmKgT/LMHFQxXJRjH4/6cvPY0b/oJ0389M2cRL2 +hlSdqL3/DxK2TZ48t5YE1+vKs1GsLBi2sGT+RoIEjlTXwDU6LGjF/8xhSZIE +af3giXVeLDg09jcD15OQn3OoOCWVBc1rC8Wjpej8cxE8MfUsWJ737UsdrcPi +LXNW48ssyHXculJQhoSUK+db67RW4GCz3PghWXo+y1fmZY+twMspZody5EjQ +S/KXZqSvwL3HKzgn5Umouuudv7NpBT4QipnbqkDCdGkRhzAnK/Iey9e4vInm +YyLugesOVjTw2fKkdTMJmUeC51SCWPHK3m1nNiqR0BwiExFewIr2V+riQpRJ +CFC/U2rdx4rtf/6N1aqQcMDgwOY8yZXYHsTMWKdGgtYBC8fLtiuxsbE567Q6 +Ccq8or8nE1ai+NwrRo0GCUtqy5Z/alai5dmmHGktev5x69GZlQ37A6z+C9Um +QUDntOOxHWw4V+DB3aJDwolDTBOWs2y4M3NXtdoWEjZerc1XfMmGBjF6vfF6 +JLDd0TIZmGHD6IAzrqP6JHT2t9ToqLPjxQN70WIbCTwOr+bW+rGjJC/75YLt +JBz9eSo7pYAdP4ZP6fLtIMHq8La4wlF2LLnrYR1gSIJntOBVZyUOPBJd1toO +tJ6HWyMLfDlw0wXbekMjEqqHjlmlFnCgstgdrUfG9HxVajs3TnDgDY2/qwVN +SXjeoCdpr86Jf8QaXcN30noWP8SuHMCJN+LylEZ2kXCff19a7ktO5G9nnDpo +RkJI3EhP3Rwnvu3brltjToKX5IuxO4ZcGLlr+az+HhLWPVT9JhrFhTb2dUYF +liTkFvcWYB0XahhqXZe2ouNjbv63TpAbTwp8PXLLmoQVq11nCxy4UaZj+6dV ++0hwCfzdOJ3NjcMl0s+j99P9PnYKmhjhRrYBOU0WW3qen0dVHmjz4Lufs0bh +diRYCmfuXXOBB9fa2w3P2ZOQrVSgZf6ZB0vCGApnHej46RQjA1FeNO3NYpk/ +RIL+UfeRv+68yFMkGRruRPN99tl9/ye8OJy9LZHFmYTP3zinXyzxYtq273ti +XEh4HdXn/MlyFbp+qi5a7UaC//TCxZyMVfj3NLM0xZ2E8dATLPsnVuFvv/2n +ZDxJyDs9FNliuBq3LtS1FR0hIUhopEIpaTXmxzpNbfei9z9hLNixfzV2f2av +qKd9umpPRshRfT50b2w2dvah9W4tlGqVwIdf5FsuTfuSENPOXinex4cn/khd +ij5BwoQ694/qrfxoVNNqsu4kCWda3vc4JfHjKQ/pzy/8af9q2tzXMcKP8pLK +Ytanaf4/uYTmyAhgg52G2lgACR3Dg7earARwNOGkyJUg+t7QcnA/Gy6A6gGq +DZtDaL2fvhSakS+AyisqHOrOkNAvzRJh8FMAvXODK/zO0nzbWMk5cQki82Dp +klAYCe8D50Tm9QQx9sXkutfhJNj+ecMn6S2I7LLxUp4XaD9UyWl6myqISeNc +HHwRJOh46CqMfhZEXa/xtteRJKzhvd2VviCIfzk+3PS5RAKL3LOGNlUh9E2Q +M5GIJmF4yrktw00IpTY8HmiIIaHx8+WeqRtCqOy/KiIyloT6tsO/mmqEsKht +RlQ/jvb790GfTBeF8G6kZMF0PAlyoUu3LTSF0TPBxqQggYTCwSHXAS9hXFT1 +6D12nYT9LaIaa+4K4+Nm5asKSfT5n2Lle1uE8dKeG6ZDybT/8yd7mPGKoOZU +LH/+TdqvOdjWWpqIIPMd58zJFBIMXI9ETIWJ4HCG6IRuKq3PWulOnZciyGr/ +gfPfHRLiqiuDpaZEkBpW2VmXTkJUm+Sjx4qimJd99r/bd0lg709rHDoiikFG +XfrHskgokfRwacgWRWmdG0z9eyT4yt2scekWxYdPh0dW5ZCg9D7+2j0JMayY +0hLpe0D3w7rW6LaDGG63+n7uTS4JDR1vQ41vi6Fu9HbZlDzanz1nOx62iSHX +9z6+wHxab/mn1n4UW4P6mnY79xeSIK9p8zfr4BpUDJOv035MwmHR8xoGd9bg +1/+Ie2vo7wbGyr6C9M41uHlFQNPSUxIW/74xfycljl9NDzsPPichtbRj8YmH +OLqOh1s0vaT1EMv85PtIHKcdCu9WvqLPO778nBwXRx/eJqfHZSQMlrn222iv +RfGu31ey39D85ntcunhuLYpod6ncqiAhlvtcw9X3a/G30Q/zq29J4JNJ5wnk +lcBVhtRA9DsSEodTUvXtJJD9rifHxQ90f1eDe/5kSeCsjWdxxCcSvjh/d/Mf +k0Amh+lIZA0JorgrZ0hPEnd6HS2J/kzznVOya2+0JP600Vt/tZ6EI7Lf5nNa +JFF94za5W19ICOtyjZySXYe2K/59yf5G7+OtusfagevQhnOz3JMmEkqrTvkG +fVyHv+57b65qof31vPyTl2LrMbExuq+llQTvJxnxCz7r0d7L3nG0nYTKLeOy +FpXrMcD5Q/LKDhL+F7RY+FBYChfW1yZLd9H+oMB7RshXCuvqA9wMf9H3ZZVy +/813Ush2q3+F2x8SDh5s8NOUkEYb1v3no3pJeGto+GA8UBqPmq38WdBPAm+Y +sXr9V2l8nm4r2TZIwm6+vUPeohvQI7rEYuUICRcP7i1iNd2A27Y99tMeIyHh +hKeHbuAGPEy0xnlNkJCUp3t1Zc4GfGvWnZcxRcJp+ewK/5YNWJRw5WvrDAlp +bzhvh7PJILt6CasQSftd4JNqlS0ymCtsZ7mPQcIvRwHuS94yWLd88tmNWfr7 +ZVJb8WK6DAaScgY/6e/MegXBFarfZFAou2BaZonW95bxszErZdGiwq7d7x8J +1yTLribpy+LCxThm+QoKxoUijfedlMU8gXoHfjYK1gjUv6h9IIsbfz1lPcpB +0X7JybfQKYtvVYnFCi4K8riWr4wJy+FYhLO1BC8FhXlGIXct5TCUv2PFudUU +WKg/0BKJkUNvI7913fwU1O8r1jxQJYdeynqPTIQoENJWmHNekMMtfEH5RSIU +5I+GyerryeP7H+Fqkmso0FlwdxoIlEetoprtV9dS8Ltjj5fPU3lc8h7uYFlH +QdfTRYnaKXkU0EgSOStFgV2w+DF29Y0ouZA8Q26g4OLlMquN/jRW/HUuSI6C +RHbeCeXijbhT5FIZcyMF9hNDQev/bkTX/GclFzZTYGn+P81lHQW8yvU2jFuZ +gsOJSzHNoQrYKrFOKFWVggaf7URmhQJagdslJQ0KlrgC+LxXbkLlCdOfVVoU +FByg4rUsNmGJ66P1Trp0Ph5y28rkTWi584rjnB4Fx1UMOX93bMKEAMG09G0U +2LQIztfJb8Zfd64OGu2ggKqa3NbgvxmR86TFOFCg0HtKYPjNZqxys2lMM6b5 +WKXVI8etiMeOMy7u3UmBuN5zneiDiujSusePzYyCvvN7Xwg+UsRgNq+0txYU +LOsoq3xjKqLJaJTo//ZSYOBufvWDuRJu6hYeNbahQGUocoTMUMKfIflyvAco +kKjOvOAzo4Rxoau/ttvRfL4JKdq0WxmzXqhTeQ4UrMsXZtmSqYyXlrUeXnCi +8yv3KaYzlHHnBp9RBxcKPJ/NcLnYqGBlm22TnjsFxvc0HkUXqOBSS76X5BEK +vNtqtq/lUkWv2v2vVh6joFowUGWDlyo+DfBunPahYLRsjO/+J1XsLzF423uC +AtYLrvm5Cmr4otw+6ac/BSsdyVndK2poLxps2xpAzz/OUdFhQg15R66JtQVT +YMbply16QB1LVFoHOkMpEBDpmQ95rY6lv583DobR+RouXn4vqIGa+1sGGBfo ++Z8wPyO/WwO3BK3VWXWRgrjcneTR8xq4rFpQpxBNgYzs7U/xLzTQ491E6a5Y +CkqvLzenjdPxurF8J+JpPhgjG1M3auL+uiOdKdcoSJWIH4111UT3sGfqNUkU +yAfOngpI08SBmEHJpZsU9IofUnNs08SLbJXF+qkUhGxZV7lTWAvTo+Hf2XQK +yACDvm37tLD8Xbn4u0wKXvy5fgUStVDL+jsf330Kcv/J1xxq1EIl70DC7SEF ++7yLuq8LauNYefuPsjwKBssZ24cPaOO5A0lN4oV0vdEB//O5rY1GwVHT55/Q +/OZ+CZbo0ka2gjGzkWcUlCikSrHK6uB0zaFJxxIKjqxcLtzko4NsbOVkcxkF +ab1JV5Kf6mCUwuFT+yrofgKUbC0WdHCoqje4rYoCX4eWAftdumgadkjC4yMF +t+42769K1sXtAaqBZA0F5XEfxq/90UWvR5opCfUUnGCtNa1X34Jc0ffuqH6j +4JdXk+qFiC14PFju5vdmCr5rsr4tbt6C49fqMy62UXDUX9H+hIIe2thJ1et1 +UODidijtdZge6iUJ65HdFPSnpV142KyH0YZr5171UGAuWGGqp6yPr5LFlC4N +UDB/ziziXLQ+Dkv699mNUPDnecLacz36GDbHDhoTFAS97rAxgq2YrW50UGiG +Aie+lnedmVvRU2z17kWSgkaLSS87lm1YNfBbcXKW3ndC6u5rz214wbVCcniR +Arf4nE3in7ehQ+q2raMsDCiWYtMJ09iOXj2RWSQbA0YfGLrM3NmOni32Jzi5 +GRCbI/8ylt0Ay8MlKmVXM8CjdLzSOtAAw158e75LkAFnv86ft+szwK/J0n6B +ogzYNtkT/J/dDgwSdOH5by0DSmrvFzvV7UDy+7XCofUMMLBR+hhuZIhKMr7B +6rIM2Ptb+Mf6N4ZoMu9+OUKBAVsKnxXY6AHGBD1i71RiwN1Ir4xNJYA3dDRE +QJ0BOxak2zokEU/LlrcXajNg0CbclNMFMWZfZ7C8Ph3Pdd885x7ie2lSJNeA +AWPmEFg2iOh8zbxL04gBagWuxbaqRtjctoKs2cmA++X/2UUEG2GdoWq0twUD +ejW+y5i9NcInql/KhK0ZkN9nZ1zKY4zfYjrLPx+g8xnZOnQfNMbIPftfxzkw +gONry/mPuca4O1b7t70zA6rL1faEMY0xJjHpkJoHA679be3itzBBm6u3HQSP +0e9PuP1MzDTBmsPJq1hOMMArZObMasoE1TrmcudPMSDReTrm1l5TzDt1znFF +CAMmajcHbs0zRUr6n6NIGANISTNrHvadqNP3pls7ggGNnbWda4/sRPlo/bVu +0XT+AOvr5z7tRPUhp5134hiQrRqRBYq7sOXtmfTf1+n6/O15zl/fhYnttvba +txiw4iJ79u7ZXVj0GZ7dTGOAPJxY/dJzN+raiE2szGbArPvGoc6m3agma7cr +8iGNV8HLFmMzPHNc4d+qAgZMzjz496LEDPcMnnJ8VMwAFRdzpzuq5miZNZRh +U8KAKi+J0PRH5hh/QmI1dzkDhs81qbfLW2CNzGWi8R1dz8fCWz4PLfB8fEFa +Xg0DgpZkOU8r7kE9A3HrxC90P49zdqx+ugeV9KJcY1sYYHPojLurgSUmRvWs +S/rJgMXb39fH1Vvi0YqAjvzftB4ILHnqshcd0nsmWgcYYL/Tfv0itRebMuyf +CI0zwMSRc3VSkhWWNiSddf/LACGeyA1pmtZoWcmW/36WAeMHaqaM22jcOJG9 +5R8D3IJTU7rABkM+B72rYGeCzt5AD7HbNujTX3vaYRUTujJ3/xuatsERV5Tk +FGbCx0P5jcf37kOq4KxS3VomXJTamlBRSGPLC/z3NzDBOAkPzPPtR+XEoR3X +NzHh8rNflRi0H/PV2FWT1Zgw2Vq14mnXfjyyzO5QoMsEl89ZiyfMDqBEi6xh +pwETfFdnO6a+OoD7n9d7yJoyQaHw7WMHJVuMim3fG7mHCd7m/7vRmm2LdUEl +8bP7mZBxabZBX9IOrRZyi2IdmdBZm+r3+I4diqlMmmt50M/3ViwdWWePm7iF +FykfJuiyBeYm5Nhj/+H1R7+fZsKFow9cD6sfxN34Q/nrWSZcTeCQ5ao6iOE3 +xJf6Iplwsk16fb2dA8Y85bwqFseE/lf1M73TDthRFJDslcyEvsT8GXoV0PCU +VNP3NCaUS856Sug7osFqGQGPHCZwUDaNtf2OqFmJ0vyFTBCfXbYeve2EV4cd +2rpeMIH9TPBg077DaJb/SbShggk2A2U97ULOuNG/rbq7mgmx1+JNHDudsXed +WZdQIxNgRFenosAF1QJq9p/4yYQAb9GI41Gu+Mk4XHOsl+bTMyxxTMsNxS0z +4xLHmZD2n9WoQZ4b/jgpEu7MoLE28cdX1h33qUtrHGCZBZmWNWve3HPH8kD+ +XwE8s+C18qRsqIIHOiXx1FeIzEJ5b+zcTLEHLrZ2WehKz0KpJ7ffBSNPrPrR +WdWhOAtWUaeLzv7wxJOsHdlPdGahNW3T710hR/Bsn8qplzALaS4+lTaSR1FM +srZ6wmIWTp5SteOpPYo2H0/aONrPwnuH7Z+mwr3QJGXpy6L7LLxiW6N4edsx +3CPfKNbuNwvn295ec1/hjd2EicTY2Vkw4nrFv67ZG5f9Dvdsi5mFNRFmPO5F +PigvGJ9YmzwLyFocMXLDF/OKs3xSsuj+kv1zLsQcxxKugS+5hbPw0IgrYSH6 +BIqFnsTFslnYcGrPFusbflhsneF9p2YWcrueFFx4chKnu7tEIltnYdemmIRH +nf54Tu3pjpK+WagZtw6MvHoKdX2XuAz+zoK3TrR2kM5pvNlZ9EV0xRyoSIVz ++wyexpTe12t2C8xBjGaIgUZOAJ6+d7uwRXoOtB3H3z85Hohq/eKJb9XnYKZU +mnsQg/BRUx83P85B1Dk3+Qm5YKyyCymotpmD3N1RMcuiITjB+ct+zH0O+KJ5 +zc+In8ENubq7LgbOQXLICZVulVBELXaRpOg5+FW68WS/7VnMDn34cX3qHDDy +RrJCks+hl9+XRrWCObAVbX/+eigM226FaNZXzkHV/fbzUgfPY8PAXr/55jl4 +YZw55953AcM9px99HJqDWy6qh5t3R2DxouFzraU5kDVUnXutHonGVXJyVsLz +QDGzxgOVL+LiH50jMkrz0FXUGHpgxyXUPlba+spoHsZj2bfyekfhSMCjofWO +87D4SuBM2eNovMUI2OEeOA82p/LPLYtcRrGZM22JCfPQfkNmSCwrFv2kzXdU +5M1DSvzDG4v74jDu9va3sx/nQalr6/vr2lcx9MW/ooO981Br99qw3uIahstc +LppmWYDziyuPr7RJxCxhUcHuDQuQcuqGX25mEuqbyu/ZarwAYwe6s4+suYF1 +3T1BG48ugEa7aHnRu5to5XuK+HRlAXaLb+YozE3BSh8ZE9PiBXg26RRa3ZSK +X9uSiG8/FqDqkk6PimQ6svz/3yL8H5k8N2Y= + "]]}}, + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, { + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}, { + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}}, {{}, {}}}, {{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.714907112060355*^9, 3.714992596011608*^9, + 3.714992743235569*^9, 3.714992834920061*^9, 3.7149928741665993`*^9, + 3.714998536099903*^9, 3.715007354707636*^9, 3.715008757754031*^9, + 3.715093160267744*^9, 3.715097519239346*^9, 3.71509768726827*^9, + 3.715355283453212*^9, 3.715369100203763*^9, 3.715369273308754*^9, + 3.715369685001832*^9, 3.715369805189568*^9, 3.715369837392754*^9, + 3.7153793645988827`*^9, {3.715379994742784*^9, 3.715380024349226*^9}, + 3.715380140979781*^9, 3.715380770786323*^9, 3.715380911612279*^9, + 3.715381051877514*^9, 3.715382081518139*^9, 3.715382206250902*^9, + 3.715382672546783*^9, 3.7153832141215897`*^9, 3.715410735827977*^9, + 3.715467182784034*^9, 3.715469275675643*^9, 3.7154710339900084`*^9, + 3.715472114697591*^9, 3.7154722772877703`*^9, 3.715712728042234*^9, + 3.715718885383276*^9, 3.7157192897626247`*^9, 3.715720622532432*^9, + 3.7157207494435987`*^9, 3.715766756322934*^9, 3.7992845092678633`*^9, + 3.799285482725342*^9, 3.799285809593052*^9}, + CellLabel-> + "Out[1818]=",ExpressionUUID->"57b9bb32-1c2a-419b-8f4f-650f22133586"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{"yy1", "/.", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", + RowBox[{"xc", "/.", "sol1"}], "]"}]}], "}"}], ",", "sol1"}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.715469291205818*^9, 3.715469292773713*^9}, + 3.715719995726717*^9, {3.715720628495644*^9, 3.715720631260846*^9}, { + 3.715767612966428*^9, 3.715767640845504*^9}}, + CellLabel-> + "In[1819]:=",ExpressionUUID->"fb9ac869-e349-4a36-a461-100b1c5f131f"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.02553697452187818`", ",", + RowBox[{"-", "0.01660517429674785`"}], ",", "0.016340232422087732`", ",", + RowBox[{"-", "0.021403786087908116`"}], ",", "0.034571595277162845`", ",", + + RowBox[{"-", "0.06531342780658138`"}], ",", "0.1397547085354113`", ",", + RowBox[{"-", "0.33249570851322446`"}], ",", "0.8696906548001766`", ",", + RowBox[{"-", "2.481258618126248`"}], ",", "7.673102295335007`", ",", + RowBox[{"-", "25.58054934765212`"}], ",", "91.4966988200197`", ",", + RowBox[{"-", "349.618093757737`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907113842649*^9, 3.714992838269166*^9, 3.714992878655348*^9, + 3.714998538346133*^9, 3.715007359750689*^9, 3.715008759458663*^9, + 3.715093164971981*^9, 3.715097522443336*^9, 3.715097690853794*^9, + 3.715355287520076*^9, 3.71536910442132*^9, 3.71536927810951*^9, + 3.715369690169937*^9, 3.7153698422711906`*^9, {3.715379999283853*^9, + 3.715380028326559*^9}, 3.715380144814118*^9, 3.715380775202957*^9, + 3.715380915388361*^9, 3.7153810563544283`*^9, 3.715382085307644*^9, + 3.7153822107814913`*^9, 3.715382676781605*^9, 3.7153832179425507`*^9, + 3.715410739607786*^9, 3.7154671891529922`*^9, {3.715469283692979*^9, + 3.715469298607283*^9}, 3.715471042046177*^9, 3.71547212276337*^9, + 3.715472285959066*^9, 3.715712736912558*^9, 3.715718889566806*^9, + 3.715719293915031*^9, 3.7157199969077797`*^9, 3.715720141667803*^9, + 3.715720374195362*^9, 3.715720633227068*^9, 3.715720751057508*^9, + 3.7157667577243357`*^9, 3.715767611760889*^9, 3.715767724036398*^9, + 3.799284690216956*^9, 3.799285612209935*^9, 3.799285854877514*^9}, + CellLabel-> + "Out[1819]=",ExpressionUUID->"b4bb264f-9a44-432e-be53-ff83fe56376a"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "7", "]"}]}], ")"}]}], + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"2", ";;"}], "]"}], "]"}]}], "]"}], ",", + RowBox[{"Abs", "[", "yy2", "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "#", + "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}]}], + "}"}], "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.714998804197263*^9, + 3.7149988426914997`*^9}, {3.715100156017366*^9, 3.715100163607444*^9}, { + 3.715767758199541*^9, 3.715767758663892*^9}}, + CellLabel-> + "In[1820]:=",ExpressionUUID->"a621aee6-557d-4473-a771-6e7479cde10d"], + +Cell[BoxData[ + GraphicsBox[{{}, {{ + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.667627895775339}, {2., -4.038632228335453}, { + 3., -4.019549486272981}, {4., -3.7580558967360895`}, { + 5., -3.3147273608071934`}, {6., -2.722685060186863}, { + 7., -2.0035229726701376`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.6676278957753796`}, {2., -4.0980409275660685`}, { + 3., -4.114124965533466}, {4., -3.844187452607122}, { + 5., -3.3647228798256963`}, {6., -2.7285576312728996`}, { + 7., -1.9678664749534274`}, {8., -1.1011283256966653`}, { + 9., -0.13961769975842206`}, {10., 0.9087659387475826}, {11., + 2.0377210049631707`}, {12., 3.241832271590626}, {13., + 4.516302893160902}, {14., 5.8568413980420395`}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.6676278957753397`}, {2., -3.953521003156157}, { + 3., -3.951732038085195}, {4., -3.726799521700022}, { + 5., -3.3195454485208944`}, {6., -2.7581406955145087`}, { + 7., -2.0632045498836007`}, {8., -1.2504853685963093`}, { + 9., -0.3324056716511915}, {10., 0.680984205098251}, {11., + 1.781385458837325}, {12., 2.9618294202499347`}, {13., + 4.216381353816265}, {14., 5.539926158869547}}]}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[ + 1.6]}, {}, {}, {}, {}, {}, {}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[ + 1.6]}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -4.894409669015182}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImageSize->{500., Automatic}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 14.}, {-4.894409669015182, 5.8568413980420395`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.006367567650246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.294049640102028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{ + 3.714740013729273*^9, {3.714779016092326*^9, 3.714779023940958*^9}, + 3.714806732903997*^9, 3.7148068647733803`*^9, 3.714807066951405*^9, + 3.714807678966655*^9, {3.7148077287353783`*^9, 3.7148077379434757`*^9}, { + 3.7148089588534193`*^9, 3.714808970053562*^9}, {3.7148092108135777`*^9, + 3.714809225878975*^9}, 3.714830983950481*^9, 3.714836849826356*^9, + 3.714862656238078*^9, {3.7148626890323343`*^9, 3.7148627076539173`*^9}, + 3.714862747461363*^9, 3.714863068753543*^9, 3.7148631864026203`*^9, + 3.7148658203011723`*^9, 3.7148658793114023`*^9, 3.714865944416368*^9, + 3.714866106227007*^9, {3.7149069109587317`*^9, 3.714906972088879*^9}, + 3.714907114225905*^9, 3.7149928386570377`*^9, 3.714992879204486*^9, + 3.714998539296205*^9, {3.7149988266810226`*^9, 3.7149988432292337`*^9}, + 3.715007360796103*^9, 3.715008759949441*^9, 3.715093165741823*^9, + 3.7150975226844873`*^9, 3.7150976912669907`*^9, {3.715100156967689*^9, + 3.715100163993832*^9}, 3.715355287563285*^9, 3.715369104614422*^9, + 3.7153692783042192`*^9, 3.715369690354393*^9, 3.71536984242426*^9, { + 3.715379999331674*^9, 3.7153800283667793`*^9}, 3.7153801448564777`*^9, + 3.715380775250495*^9, 3.715380915430154*^9, 3.715381056395095*^9, + 3.7153820853508587`*^9, 3.7153822108214817`*^9, 3.715382676823763*^9, + 3.715383217984967*^9, 3.715410739660235*^9, 3.715467189199884*^9, { + 3.715469284220578*^9, 3.715469298661447*^9}, 3.7154710421039343`*^9, + 3.715472122809923*^9, 3.715472286006555*^9, 3.71571273706364*^9, + 3.71571888961236*^9, 3.715719293964395*^9, 3.715719998969393*^9, + 3.715720142857798*^9, 3.715720374255104*^9, 3.715720634358427*^9, + 3.715720751106544*^9, 3.715766757771916*^9, {3.7157677489290037`*^9, + 3.715767759114511*^9}, 3.799284690365823*^9, 3.7992858549974747`*^9}, + CellLabel-> + "Out[1820]=",ExpressionUUID->"2347fe7b-f08d-4f4d-8617-2ab37c37fbf1"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "2"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "1"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol1"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol1"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol1"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol1"}]}], "}"}]}], "}"}], + "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "4", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "2000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"(", + RowBox[{"xc", "/.", "sol1"}], ")"}]}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "2", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714836043615963*^9, + 3.714836044589387*^9}, {3.714836290637068*^9, 3.714836324225964*^9}, { + 3.714836388083845*^9, 3.714836388262471*^9}, {3.714837415845621*^9, + 3.714837426131487*^9}, {3.7148377212331553`*^9, 3.714837747792254*^9}, { + 3.7148392507136106`*^9, 3.714839277104413*^9}, {3.71483978480295*^9, + 3.714839809483008*^9}, {3.714839847371202*^9, 3.714839847406069*^9}, { + 3.71483988740263*^9, 3.714840005018692*^9}, {3.714840743913506*^9, + 3.7148407501038113`*^9}, {3.714862699130905*^9, 3.714862699795854*^9}, { + 3.714862738005735*^9, 3.71486273821253*^9}, {3.71486289724051*^9, + 3.714862979688342*^9}, {3.714863014778574*^9, 3.714863050057831*^9}, { + 3.714863159717188*^9, 3.7148631737709723`*^9}, {3.714865798463542*^9, + 3.714865812385675*^9}, {3.714865849921479*^9, 3.714866147921616*^9}, + 3.714866191109682*^9, {3.714866464163389*^9, 3.714866480144454*^9}, { + 3.7148666669176483`*^9, 3.714866669139514*^9}, {3.714903915141719*^9, + 3.7149039311237593`*^9}, {3.7149046080389223`*^9, 3.714904609087657*^9}, { + 3.714905323493993*^9, 3.714905334954818*^9}, {3.714906611952711*^9, + 3.7149066120629663`*^9}, {3.714906866596887*^9, 3.714906961540287*^9}, { + 3.7149069965234413`*^9, 3.714907097638844*^9}, {3.714907131553007*^9, + 3.7149071751401873`*^9}, {3.7149928618648252`*^9, 3.714992925372754*^9}, { + 3.7149930670850677`*^9, 3.714993073952259*^9}, {3.7149931597991943`*^9, + 3.714993180305662*^9}, {3.714993784389737*^9, 3.714993798480569*^9}, { + 3.7149941053628273`*^9, 3.714994106716889*^9}, {3.714994374387026*^9, + 3.7149944171368856`*^9}, {3.714994449502027*^9, 3.714994466031096*^9}, { + 3.7149945294375277`*^9, 3.714994538925222*^9}, {3.7149985477412786`*^9, + 3.71499856076299*^9}, {3.7153800402668056`*^9, 3.715380063819003*^9}, { + 3.7153801112277822`*^9, 3.7153801113018713`*^9}, {3.7153802543775787`*^9, + 3.715380254503901*^9}, {3.7153802981992283`*^9, 3.715380299334661*^9}, { + 3.7153808495966997`*^9, 3.715380893631353*^9}, {3.715381067078323*^9, + 3.7153810689551067`*^9}, {3.71538117638953*^9, 3.7153811850848*^9}, { + 3.715381347168209*^9, 3.7153814376329613`*^9}, {3.715381505450323*^9, + 3.715381566338889*^9}, {3.7153816285483313`*^9, 3.715381637755931*^9}, { + 3.715381755806457*^9, 3.715381777816703*^9}, {3.715382159948557*^9, + 3.715382172412593*^9}, {3.715382221973988*^9, 3.715382257917728*^9}, { + 3.715382315687036*^9, 3.715382316406804*^9}, {3.715382487306398*^9, + 3.71538252434626*^9}, {3.715382689829625*^9, 3.715382811648841*^9}, { + 3.715410717351038*^9, 3.715410846842925*^9}, {3.7154124886862698`*^9, + 3.7154125070299397`*^9}, {3.715469299278165*^9, 3.715469395863419*^9}, { + 3.7154694921624002`*^9, 3.715469508865067*^9}, {3.715469966464563*^9, + 3.7154700028567123`*^9}, 3.715470056770171*^9, {3.715470276017084*^9, + 3.7154703011254377`*^9}, {3.7154710901544533`*^9, 3.715471101058642*^9}, { + 3.715471268911914*^9, 3.71547132228014*^9}, {3.715472300461967*^9, + 3.715472324280179*^9}, {3.71547277414178*^9, 3.71547282606166*^9}, { + 3.715720641138124*^9, 3.715720642320326*^9}}, + CellLabel-> + "In[1821]:=",ExpressionUUID->"9bf870db-226c-48c2-a135-05ec91992349"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "0.0017277943809927295`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "0.9446333356932245`"}], ",", + RowBox[{"h0", "\[Rule]", "0.9871035492106776`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.4184240654554497`"}]}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.85`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{{3.715382761825035*^9, 3.715382779858616*^9}, { + 3.715382850955229*^9, 3.715382874077702*^9}, 3.7153829071472063`*^9, + 3.7153829496257353`*^9, 3.7153831580309772`*^9, 3.715383245325272*^9, + 3.715383315152793*^9, {3.715410751603754*^9, 3.7154107808741903`*^9}, { + 3.715410811387745*^9, 3.715410864090843*^9}, {3.715412502579513*^9, + 3.715412513371191*^9}, 3.7154671893196173`*^9, {3.715469327929186*^9, + 3.715469509785816*^9}, {3.715469977942925*^9, 3.715470215712144*^9}, { + 3.7154702483882093`*^9, 3.715470306947879*^9}, {3.715471042455543*^9, + 3.7154710478479347`*^9}, {3.715471097441699*^9, 3.7154711016417522`*^9}, { + 3.715471153578323*^9, 3.715471223145994*^9}, {3.715471256881298*^9, + 3.715471350377346*^9}, {3.715471382995829*^9, 3.715471406586113*^9}, { + 3.71547144673342*^9, 3.7154714614411707`*^9}, {3.715471526398753*^9, + 3.7154715383735123`*^9}, {3.715471773178574*^9, 3.715471788170496*^9}, + 3.71547213421542*^9, {3.7154722865364647`*^9, 3.715472325018651*^9}, { + 3.715472812401895*^9, 3.715472826530856*^9}, 3.7157127375787697`*^9, + 3.7157189061275883`*^9, {3.7157193006705303`*^9, 3.715719303388084*^9}, { + 3.715720644368929*^9, 3.715720678631151*^9}, {3.715720751352169*^9, + 3.715720798331847*^9}, {3.715766758802579*^9, 3.715766767113453*^9}, + 3.799285435863772*^9, 3.799285891052658*^9}, + CellLabel-> + "Out[1821]=",ExpressionUUID->"0916cd84-2ea6-4028-b3e4-2e4ed95f618b"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol2"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "-", "1"}], "/.", "sol2"}], + ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "+", "1"}], "/.", "sol2"}]}], + "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol2"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "/.", "sol2"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714831591839006*^9, 3.7148315929177227`*^9}, { + 3.7149071829100533`*^9, 3.7149071945037107`*^9}, {3.71546951456227*^9, + 3.715469529441565*^9}, {3.715720757182714*^9, 3.7157207817863407`*^9}}, + CellLabel-> + "In[1822]:=",ExpressionUUID->"77191d54-4d6c-430f-89ad-4954156f8391"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwV1Hk4lXkbB/ATjSmpTJbKFooJNUW2xnJTxzsp0yJLZCsijCVZRjHF0WTI +MtqMq1FJi1Kk6LxF96mD0JBRg1DpHYxxnl+v8ZzFWb3P+8fveq7Pdd3X73l+ +z/29f2YHk3wPqbFYrHPM+v/zlz0tj1JiWbyq3EmLJSoCfcndkvfRLN7nRpt3 +0koCmqXvnHZEsXj1C6cODjLO6lE+Wh3O4oX1GuypYhy2w537xo/Faz1w1N2B +8Rov5Dp6sHhXcrO2ByoI1Dk/+7dMn8XbPn6lqFBGoBAKMj77aQ7nHV6RWycm +wO1NliVy5lBdz2nPGcYTBwKzB7PnkMvTVotlvCVvDedOyhy+vBC+wJzxbMfT +4j0hc9h/7JtrZSIC0b709V83zOGAxG86QUjA81DIG4d+FYqMznctmiEgKfjK +Nnq1Cg8/Srk9RBGwe/7hxFcmKnw3OMq5zzhRWtojXqHCX7LfO+czHouh408v +UWFQZI+9A+M+NvfGLakSLeVBSUUCArUqTyPBKyUm2PzZ6jhF4GCK/+fJWUq8 +wE8tjv+LQGWNRoBzhhL3ptVkujF+O/qompWiRN6gYvNSxrt3GWz5OUaJRZEr +NzdMEHBb9yGrwVeJH6fbrcXjBFZMHJ4RrlXiWusfb6aNEegOynqX+YcCbXWj +fPZ8JHAj+Wp4SK8CTc5pxpow/uF0+0f3lwp03dfmJxglsLFRe0L9mQIV/Jjy +PMZl2tc/FdUq0PnIHx0PPxAIeNE9d5WjwIld+0oXvSfw3n6VeZetAhu+cbpX +OkSgaQe7unadAhN/m1wVyLjkYKxlyZcK5OmsCzRm7FH6wNrPWIFFUdp6NW8J +VAm+2fR+gQIXD7a3tgwSiKlKZs98kOOY8XfXh/sJTC99Hm1QLMe7s2v6JvoI +nMq8KyjKl+NwRGv9ZcYGf5Ynz+PI0WN8v+s+xuympGOTGXIsnfTY1/E7gYsh +xsVNB+ToHep2trqXgHvN942+DnLsca4+59PD5GnLhvmFIzLkHjqTEtBJwLTW +4CdVvwzpwbZ2dcYP9TSWpPwuw/vczgf1Hcx5J0eWB7XLkKK3+i9kbFdSYPNl +vQx/C7a82thOYHB43JfPkWH+27Y6KZ+AZdqlq3JrGcboxAxZPSXQkec7020h +w3VNrc6vWgjEn1uw9YqpDBv7blqkMq5/kDrG1peh3yj/ZnMzga9nfL4snidD +c00fx21PCOxMUtaaDkpx6zxeyzYugfTYMK7XKSla/KO1+O/7TP8zdReuOCnF +2jGa8wPjJ/ldQVPHpGjpcihehzHrlqO8OFmK5+bnnnapJ1AwscR9cL8U3d55 +/JF3j8lfJPLj7KTo81D2THabQHuo6auSD7M4UPdUO/4aAQveJXP67SzSOzsv +fKwikGe+Mj3gzSxu4zRsDWTs+dcXxsads9iitUfT4yqB5mT1+NsNs3gph7/s +88sEHnAmNNpOzWLVYgvX2AoCV2pq3WU2s2ibJR9PKCUwt8iqLNSS2S9cTb2t +hLkfEq+P80xnsQ/3yg0YG26qPHNabxZN7v0rhV9E4EJzyZDunATbIcpSo5BA +0auU9A19EswpfkF2nSJwTOR8L+p7CS4PHRwa+Z75X05WDv9JkaCnvHdEi3FK +5srm8AQJDoT1BbhkEIhTSjuDD0rwyFajqrNpBII/ezK+20fCzNddI9sUph96 +bsZuphJcU9p5zTCegGPg+urHBhK0DcrVso1j8vCLsY2zngSDL5+pYscSsDZW +OW/SlODqX1M8o2OYvFqgn5VQjPPtzBrKIgnI7D3P6HWIsSI5079wPwFxuq3O +2ediHBjZRU4GE5jhmlVot4hRPLnULzWIwJSr2q1FDWL8enfcUb9AAkNsPn/e +JTEKBQecpL4EHvt5yUmSGH8UmEX1eBM4nuod175cjBu+2qef4MD0K2R+S9Uy +Me7WN5avsSdQzMalJxaLcXjomsaQHTOPug6NTupilOvYJ7hsZPL60JRV80mE ++8/mJg5ZE9AXSc4XtonQvCw+7uQqZl7eNUzG8ERYKSpZrmFCwKotwYX9RIRa +gd5e+UYEXM//OaqoF+Gm7JMzOSsJRDq8skm8JMKAYn9nbx0m72k3nu0+KkJ/ +yx/7DTWY7w89oLs+UYTnvR5mRM4nwPcyilkYK8KX+6af3lAj0K9XpvU8TIRh +Jz7NrZqjQNmYHbhpuwi7OCPZwxIKtov9iJ6ZCANv5QmiJynwe7/UY8ZQhDKt +rN8jJigIa+8q69EXYZO/w2b/MQqOXPBwPq0lQomGymn9KAXljus4sxIhGrQG +51wcoGA8XX3lcI8Qc7zN7DzaKLh9Py9xW6cQTU4a91U9pyCZ+qy1kS9EqnKL +hRIpUBxYkFTKFeJHq5pvyx9ToPvt4javKqY+38Y3qo4C9urlR+rThOhz8VrY ++osUaIaVtxsnC5F99EqO5CwFveUrjQrjhDhdwc1vKqUgZInRi0PhQjTPqI9Z +VkBBqtTU2NBbiIuOORq6ZFFQ/cq685SRED3D0+UrwiiI06w1ofWZ93UtLtcN +pmCj1/rUiC+E6HhPKmEFUND8eMMqFw0hnjfLenz7WwreXLdPm/4vjeGO3cPO +rhRUjDZ2hU7RyPtUYXffiYIIQyfTl2M0Rq8byF2+iQKqdPPL629pzOq/fLzW +ioL5We5m+/k0rqXZFpQeBV1NmN7RQuNkhWl9hzYFpf94/ObApXHnrnpeySIK +jGK2ZmjfpVF26XXWMIsCe99t3W0XaDzcVDcSPCWAyLW+mRvjaCwOuaPK4ArA +cWFlhSKKRvPus5XrGwSgOfX3k45wGu31gk067gig4U6OKsKfRrXXNm41lQJg +bbjP+dmDqY+NOL6QI4A3S5XVoS40frfX+/Hr4wK4Ob2t3cqRxk7dkIjsVAHs +bBhd8NyGxpEda1/EHxLArw7axTP6NEbt7teq9BJAsn5I3dMvaHRqCWnycRMA +W3Kzt0CLxub+t4rX9gKguKCzWo3Zv6rj9OHVAvjaNal8L5nB+IZltkWqKRjY +0lP1kD+Doy/WFHTdmQKZanK6H2cw2cCCE3NtCv4Hb04ZoA== + "]], + LineBox[CompressedData[" +1:eJw12Wk0VV8bAHBUKAqVSESGUJRKIepJInMlCankT5kyZaqQeUpJGQplKhXK +WGTaKJEScY2Reb73nJOZinf78H6yfmuvu4dn73328yw7LBwNrFiYmJjymJmY +Vv5+G0rxfcRCIe3LQ5kmfykQ+G1qMDJJooir9z4tkBS48l1jbh0h0b1Nozc7 +Rin4fuRGzqcuEmVGtjvM9FEQEH53Q+pnEln6Mu9ppVFAFyutM4sn0XJWudRk +KQUa2rU3dSJJ1FvaZ25TSEGyE03qcCCJFANlvNbmUXCujB7M50CiYslY3bKX +FJQbCak1qZJoFa35v5poCvi9pScrDpGIqUKCMn5AgUvawZTs3STSsySfsEVQ +IEnpLUfwksjlPlVfGEDBgzCfkpNjBEqSVgg76UoB619hlulfBJKz3Mvod6Lg +tkOlZjKNQPqpZvxR1ym4enZ16zwi0F3JM0Zi1yhQEQqnXscSKP6pdxfXBQry +IncrGEUQyMh1OWefMR6Ppd6bxZ9A/8mEcVuco2DjCBfHhesEOjVdVEg/RcFY +TowE5wkCHU0sD3qmTsElMQX7IiUC+TxPcZRWo4AW055nuZdAl28I/ETHKKi4 +te1YmQCBBFz/Ta9XoSD2RIqpw28G0ja1Y5c8QMHx9qzIxmcMFC3d5bxJjIIi +bf1Wr2gGmssW5Du0gwLZMlJQOpyBVFJUz5gL43il7s/wc2OgK9pB3+q2UUDY +FX3ar8tA1kcLpKY2UxC//HEheoGODqxdHHBkp4DbxeqYKklHLvOOTAusFAQN +soYwBuko7z2PRcgaCpy+aG3WaKSj4IcigfkseD8fNeyZS6ejiE9a+RGLJEzt +/PmfiSEdLU93+fkPk9B/dG2OpBYdZec/854aIKHRSOHvzBE6OrFdxuF6HwlZ +wY+iH0rS0c7tYq63u0iwHNap/ro4gUY4atX/NJHQ+qJ059GUCTTk4HfgWiUJ +n8rGXThjJ1Avw3GrISIhr4UfdYZPIJlPVhEny0i4v8btvIfrBFLRcE9S/UDC +SSvZ0JyTE2jc0UrvTi4JReLPxkSJcWQ55Hx/bRoJ6SrfDv7uH0ci+g4WBikk +RBsu+qG2cbRB2EwyOYkE50AjAbPKcUSrC5bTTiRh1+AGnZjocfR+boi7NYaE +hLQ7WWzK40jgTT+jNIwEH9ErjvSQMTRiuFBv7Ir7X3AXJb3G0ONvD/TEb5DQ +0BjR8tt5DKGW/95POpMgcqdIee7CGOJ4yhB47EhC1U8udha5MaS/VU1wtR0J +bDHlyXztoyjdi23W2IIEOXvaWYH6UTRyefap/hUSjNXGWYWqRtGWXYlJGuYk +ZPzmvS6aNYpimVyijlwiQVf/upKs7ygalNAy1zAl4QGbYNNxqVFk8Xbr4zID +HI9f+4LUhUbRnxSX4JYzJPS9O6mouXEU5bZTV8jTJOy3vPFM7+8IOj07XSt1 +igRaRZ2tceMIytZzKsrVIWHrrZurHDxH0Aupd0586iSk0lvln9QOo0tv6hjc +SiQMc/nfMSkfRuUL3xutFXH8DsjWbS0YRtpVe3sqFfD+3Qy4HJ80jJi2nHfx +OERCJatceIL7MCpleSRKHSChVySs56n4MBq7MqHDu5eE7eeUw1N9h1B34P4g +oZ0kWHgO0yzch9CcZcePGAkc74QoYTH7IRQeef/vBuw9/SMFaeeHUHSC6eAq +cRKOOEb3PN8zhOqW1GrndpBgFsaQf9k1iKTtpLRZt5MQX5bUk6k4iHa79oXn +bSHBKLht733ZQdT6zLVVCXvTKS5fJ9FBZKp/a6ySl4SIXh+Rg5yDKD6Y+TJt +M97/VZeulPcMIKciIROWTXh+WoIDjcEDSDk8SdSPiwTplsfDM7R+5KAWhpbZ +cXyeNh5q/9KP4gL7lhOxU6+yhxSX9yP5QpeOw9gC8x6Sd171I7U577OebCRw +bjtvze7VjwxDU44vriGBMucdFxDrRw0ehRu3rsL7SY9igHMf6o1fBSX/CHjA +fLml52ofsmimLTlgW2+RKbtj1odk2H9JimHzHfscgU72ofpDtLyIvwS4P1rc +Ddv7UEyB/hPLPwTIH/7P9ujXXqStmMUruUBAboj8iIpEL1obYxcwOU1AaCJz +Q5cA9kkluTxs89zv7724e9HGozP7XbBF3v/gvDnXg8IDJBWnpgjoMTus4/m8 +B637dfzAwiQBZhkcte5Lv9BMm63P5t8EnFN/W3kjrxslndkrF8QgYPbDlcS5 +hG6U22wuro0du4fX43ZQN3rlZmnPhd3O5yUTYNyNCh0GZ+LpuL9xrbiHS10o +NZSv790EARaRQ/a52l1INcP+7eIYAQ4dgvxkfydqsTnKWTZMAJd+46TLt04U +eIT98V3snKqA+tl3ncjvVp6NKfbvzHH/pdBO1G8u1T0/RICrTxFj/d5O1Cuh +taiIfUvM8KPM7Q6klOFaVj1AQMj1uw62m9qRWLcbF1cfAYnmG/jO/2tDRSqm +9sO9BOSdjUJqI22obdqepRz7l1Ict1BJG2p4yt5xHVueNS2vwaIN5UWlSzX2 +END7rHhWPq8V1T14x5f0i4DDjWM+y6dbUKXZOn/LLgJOf7SXpB9uQd9L3oQe +x7Z6Tza0i+P2w60VItgPEmdE8uZpyGdn36funwSMWDN/tEymIRcXkS2m2NHM +W9nqyGa0Ti8750InAYz9mpHR95tQFc82d792PF75zNW/N5tQdxS59xp2sFba +UUurJiSX+oFLD3u7+RLjgEoTknB+dWwrtv69At3msR8IfTS0zG/D8RwRWbdR +/QeqlWqNJVoJGFWcWis814ByCTXanRYCfE/pfyDqG5DwA1tuW+ytV19blz9v +QIyqLw6G2NqPLtdcNGhAQpO1UdLYmYyvgYlvviNVy7nrLTS8n6nPl7da1qMC +JGpzAHuGw2hm84865LFVtpqtmQCnooFi++d1qE287Ol0EwHjls6+nzzqkGk4 +f0Ifdm9ZBIfr9jpkwFG3qhT7m+PHHc12X1CR9ZlwF+zUZjn9KNZapLHOy2j4 +BwFCvuWbxjpqkNbq7U4t2I9ldDuOvalBlBT7m0/Y94OuWVJna9BEw4UHadg3 +FZ7dOpXyGeU5Ji5aYJ9O4Hi5XqUajaRy6Yw2EvD15BN7K65q5GQjF9mBrTG9 +c39Z/ycUjXRn6rCV9Y6X2Yd9Qi/nd0u+xd657Nn8tfUjehV8S9gd+5/F8HKY +cxXSuPbSgBPbk8u1uu9EFWKKWHyz3EDAZAnzXSX+KtRYtWfXFPboZqEtY+WV +SERtMbATm/b5rIwmZyXqSr1alYFteM4/l1MfocOHXE6dwRbn0lx4tViO84E/ +liexp2vXq6q/LEeughaxR7CjVZ40ejOVIwGzx7q7sFvEckgirxSVpAStWYNt +NNkt+4OvGMllRiej73j+WWlu1z99QBVG/I6F2LNWNmVrnT+gq/qdxtnYsR3T +usfritDjyRnvJOy2Cg77fK9CNBGRuN4P2zhSKSOmrwAd645U1sKW0lr+ve9+ +AbII4y8+jj3PUq30/XABys4yP6uC/dj99BfW6Hy0+fOm1r3YHRevjXpo5KF1 +ldrb+LEz+GTlNk/lIuamTY4bsW/9mPTIScpF4grW3ZzYAuo+bGPzOWh0W8Ja +FuwC4116BUbZSDYgNIlRj+P17V0XPfstqkxYVzOKPQ2q9hJr36JjShPsg9gH +JY3vxpZkoauV+T87sd/PBH3xFMlACQGdpV+wjWx4THJvvkYv3WvfV2PPdiWO +jjW9QlmGZF0l9qFP+WwXgl4iJNqmWoxd+LBP/cj4cyTkkmyThb20MKpWqvEc +jSx/PPEa+8QVSlU5LQ2V7lpSTMdu2rt8RMksFS0Rr+2TsbfGsaoUFaWg6Wje +rKfY5kvrDyvwpqA56u7qBOzOJ0r2tolJqJjpPlMstrW1prX1uWeoJnLz80fY +M4fOW17d8BQ5300wj8LmprmaWfjGo/D4FPF72E9TA4zNlZ4gpfOCMnexdzk/ +NLw0GYdmm+7rhmGrb8jRNbWMQTdcz7YHrcyvq1zTWCgaZXOnqgWuzCez/oRR +60M0btxX449N3Ow6ZhgZhcxruaz8sG9rTqgYaD5APVO7t/li8+yZdk5muY+q +wuTHfbBlvvLYJrreRcQZqSZvbA3rvRaPh0PRD1nWZi/sK2v0TKONg9FF/nr6 +bWyvVFuDB3UBaNVOL+EVx0GodoSKHyoM3Gh3C9vyg04Q90VvNHY7suEm9pOp +YDd2VU8UYD+pu+IG2SorJokbaKLx8IAn9trGxUyKxx79U7F+uGLXE84RvR1X +EPelW6Yr9h14lq8aoo+IRSflFT+P2RDzL1ceOqZ0Dq74YanR86REEwg5zqG5 +4l9jBb8vs14DycW3N1b84XASu2KSE5icVChacSCTJf+xEjdQdHrOuzIf/c9S +Upptt8CANnt3xfwRDIXTU3cgm75n28p6fkt1iGWF+MMPHb2PK269W7I7hzcI +8p4aBK6sv5R4eqAgLQTqXsKllXilnPFVLtoXDtxavGdW4hlcYKFWiiJg4SbN +bCXednzqOhV6keCr6+N3B1uq7JF0P+MBiNE3oZX9WS/ivm/49iNwqGALClhZ +/5lrB0eroqH+q/X6lf2f9DdWGl8bCxVnSt4GY7cPHVYl4h6DcrSySji2Np+M +OvXrCShM20tFYJdpCmlNSiRACW+c7H3s1Mzl07P5T8F5qdv/ITZvN2U4v/gM +7A4tN0Wv3Ac2Z5l/IskQyiOqErdy/xQt5JavpUDnG3eTROyEhBOKq2bToJHz +ZcVL7Loul77/Xj6HQ1zBQpnYi0Ip4Z+MXwCPABH3Fts0+V9XUEk6lB+1HXq3 +Et8X7/3Y/V6DtHnUwMr91Rwe3GWzPwMWNQ7J1mF7Sm6ifRnIAK/6sOjv2G2v +HXfe1cgCXgWD0jbs2LdSX9dzZsPuCVbnCexq0sjVoSwbPKH8FYV963HV/WsK +OWA2YrA0g53RQSnUjuZA48k9q5jx92idmV54mE4eWK+xd135ntWas+7l5HkH +3tyuf3Sxzf2eBpTavIP7YWabDVe+jyny7fZV78AwI0HnArbkgIVf/Y33YGOj +ymuLHWyFmu+3FkIUk8yWMGx1W09PnsRi2FfN2vYNuyucq75yuhgid9A6WrBd +M9N3uOiVQP5C3J9f2M/ptLqmpRIo95dL/I292nGfUPSVMsh+PmHAj9+DPqUZ +87ubKkAiSSPFDrviyYQMQ6UCXq5+2OWG/Wyhb17/agUot/sd8MU2+/D9wcYP +FdDN5yUfg92q+KriyaVK2KUpHFiB/U3hgsir11UQ+yXbUhC/fxlxZ+hrm6uA +v6zlshR22NzJIru/VRBuZ+khv/K+Fsqf3nvqI0Tk/f6ji115aIPv++mPcDNF +x+wO9vuDlT2foBqog47BY9gxMYWZO22qoar2nf4ctuvMG4/Qh9VwUVBXfg1+ +z/e9i+fSHaqG0o/p53dgZ8m7QnP4Zxi908x0ATvlgGRSX0sNqN0LmGjGjth3 +79KSXR1ccxd81oXzi9A/pze3P8beLJNFYgdWb67Lra6D+bkzPSw4f/E2STxo +JfwVih2030ljO/hlcn5r+gpZr3tFb2Kf/vGl+IlSPVz5sVpIGOc/4YoBd+NX +NUKDXPrFUJwvhQpZXWUTaIRWA3+NZOxglpOqrnKNYKxwzLgI2//bujm9i404 +b2DMjmLfNn9owVzYCCG8hLguztfsQ1OUrG1/QG7Si/8EcD6n345GDv5ogkab +y95tON9rO9o0rTTSBOw3M45PY5u/GGQ++q8J8hUl5Xk6CLjhslZQQ7oZ1PdZ +JOpgP+Y8e9rIrxk0fV4FV2EPHBsuct9HA6EN82NFOP/0fM0ZXhjVAt+3+Sl/ +wfkrM7dwXMnLFuCU9O6bwA533/cclbXAbd3PHzZ04/dGzai8ZqwFPgxsZzmH +XdWdNNmm2gpKqdvmB7DXbzxwYf53K4iaXMriwPl06i0TGSWDdoiIKRsNwPn5 +jKbquqqr7ZAple+fga3JJz2qfbsd3I9rnvqBzcifTzN73g5pEcp+wv0EKDLi +tvnOtoNV6Bf9cuz6y63rauI7wM1F/POaQXy/TpwdMxzohCzvRvpKfaGzSbmm +e64TrLdZn5vAftYn+uIq50/4azg4zz9CgJrPpLnnwZ+wI6nwtyv2/cKo9oSQ +n3A1cGf+3lGcf+1qrOnf3QWxAfzFObh+OcWll+7k2g1j8tGiA7jeyXm47ea7 +8G5Q7xfgEML10MYt4zqLyd2QPOWpfh6bJhjyO6C+G968eJP7Ddt0V6VK3M5f +kFHS4VZCEHBV/WBzWfsvkDiyXeQ1RQAq2+AbtL0XJoQzW2px/ea07Db2UroX +uhXTmDfM4HpOtdugTr4XvH5djzqL7f8pU4JLpxe872zt6cFW/6r59bFHL5hw +eqn/m8X5bbv/lqzGXshMDevQwfVj29RsVpN/H0RdVj5/ZAmfr7FaH4V7fRA+ ++KYjHJulJ/50Ylwf+Jw1qW3Hlqk7Om2V1QdOUxoMt2U8XnKw8kJLH+zgO2/7 +jgnX93pb6oSl++GLhc4vLVz/BqUfHLFv6IdZPRvf7yv1cyLbhx8d2JJuW3ev +JSEnqiP80GA/eNH+KIVid3p572Fa6Id2O2/eE+tIkDtb7fZIdADOlrKcreIg +oWvZcHWx2wBENzS3dmwg4YCJ6w42wUEILrPj88b1//3ISxEKOwdBhKEfPY49 +Xq05d01uEBy8GguNt5CQvF+ovvbEIAx4r5o/xIfrd87PnuHXB0H206mAP/wk +DJbzNa5HgxC/+8uqdEESosVLfDZbDEGsF+l/V5wE0vTF2An7ISA4sgu5JUjQ +joo0dHMfAu1ops+x2ExL/+1qDR8CMXFOjxc7SbBv42yNyx8CHqmFK/VSJJwI +vyS7bc0wcPNHS2vJkjBDMnfteDUMYg21V5gUSGj3vawqlz8MCoL3ePKxi3nK +0o+WD0NlxL+t1xRJ8Dng6XyBNgxVTulqzUoksHsQrDFMIyA07GNZqkKC4FLn +PnaTEeBQ32zecpyEpfuKcVssR2BdcfWNJDUS+oRj/4o74naBpR12J0hIVz1T +oxo0AgFp5eZsGiTsDaoxu507AiLWxcRZLRKOcxaEEGtHIcj/RK3qaRLEn/Iw +/m4eBbfRIz2SZ0hg2+NowCEyCunFfYNcBiR8O7VLSOrQKLTaatGGzpJg9Cg5 +74rFKGxdKz35+jwJNgL3umnFo7DfO2bh8WUSHkhdPVBiNwZ5/I/kTzqTcP76 +HmZO9zFIe57gYulCwva82e9mvmMgfy1BOfAGCVnKIbZL0WNgNlXz4KsbCV/0 +X6Wolo+ByUGPY7dukcDiNs5Vyz0On+9os5oH4vYPed3828ahxmnLqYwgPN7S +rUwbiXGQWsA5djDuP5TjJMfhcbh5rlc9MYwE5QQZH/3/xiF51ZD8+kgSXCsd +6LR347Dp1oH2J/G4nVWhWKJiHMquxHsJJuLxdJZD3OvGgbNpvVDaU9w/LVKM +v2ccxEmuqNJkEt6M5JheYJ8A6b9T3KIvSRheP1XbZzoBxEfi3+cC3G5QErvf +agJcMtz8ot7j8eICLAMcJ2DKeZXUlSISVu3YzCQROAFGokwK3KUkiMgfVLB+ +MwEJHzlHsj+SYGLq8YJYnsDvmlIlB42EVwt514U46KCwtafcopWE2cfEQd0t +dHhQ8+FDZTs+z21Wn1/L0EHuYZbu424Svhsajlia0CEtgzknawSfn+nI7EeW +dLCJ8TfWHCfB7tFXjypHOogdmrNm0PF5azrOLhJMBy2weWA4ic/HqX3SP/Po +QOn4zyb+w+sn7H+vLaeDpRnP2AkmCnruvfqg+IUO/q89iApmCry+CWvH9tBB +Mbj8eN1qCt5rbbA7w8mAn1XuvyQ4KNh1YiKrxooB5zRY9ohtpcBzYKfbrBMD +4q0Xaldvo6DG3+KIhBcDvvsfjiYEKbCs7Kj3f8gAsz+icT9FKHh2tJY4ghiw +dEG0Yoc0BfTuVYX2dQwQYek5rrObAmVvuJPQwoBfk6qDPrIUtJe851qYYIBe +/eDLNfsp2Kj0Qq6An4A9H4+2P1GmwLy9d75fjIASq8BBwaMUZHsIVvLsJYAq +THyddYwC3fePzjiqE6An509MqVMQfMDfZZcLrhuaLmrKnqGA1lR22MSbACEz +gZEdhhSIuSywhIYSwFab27bzPAUVOU6Php4RYML6p/e/ixQsyl4uSP6K61zO +NY4lthTI+q0Z4sHvfmOpRD2rA54PLZM3oBfXRUFhzZbOOB635t2t8Hd+NFDb +8YInBdE1UUq7hPG5GWiu1QjB7QKKtgnSJOwS+iqifBf3f/1XPKc8CYf+Ru3X +jMT9bd79l9AkQW+HgUFOHB7vyqfyfHzvMku3bG99jdsLbElxbxIm0+tj3rzF +/bPxiMSGkBDB/7svPR/39+ainye+B52PKmiry/HvmVfnjaWTwK1yI9X+I/69 +YUa/aS7+bnuLxv6tpeDz4qzakc8k8F33vZhIo2BB76nr20YSpoOy5XM6KZBJ +UXsh/JOELdLzR6Z7KXh08gErC4XXc+Oh5xaCgrzkwjhNFgr+//+w/wH+OZ0d + + "]], LineBox[CompressedData[" +1:eJwV03k41dkfB/A7sqW5ZSnLJZGUNinTHWryvi1amKKmkJAsFaNkiTCyFZqo +SKgmdG/RYsrSMCQqFWOZsbQgS0jF/R7kLq7rxu/7++M853k95/N5znM+7+cY +evjv8ZZjMBgZ9Pr/XnvfIKe3agwnWMZxR3hDiN1oFxhQPYaz5XeM190fQpx+ +sTS3fQy6+w1zlNqH8GJeg8sPPWP4NTj82kD/EOSZA5XPPo5hrUvm+9+Hh3Bm +UjOuc2QMRelJIrMZfJxpC5+lrigA5RPRqLaMjxf/XT6WPUuAqCt2ifbmfMjX +5P+3Qk2Aouwk/UM/0fV/dV/epieAs9n907KdtFM36UWuoft3KBWs8+fj7M8q +K7+4CbA9086+8B4ff99wqtb0EkDRa/e3uYV8DA3n7rf2EaB7lJPrWsrHrpTN +8dwgAdZYR+3KqeZD++1vPS6JApSY5DVKO/iwWVJ/8nyyANFr1uxM/8BH5Cmd +78tTBTCNPrdM9xMffawSC60bArTcdab6RvnIPziS0lwogP4bH9dQBQrdBRtM +GKUCXHOYLvZVoaAml1RpWiHApo/aIps5FEJumfDPv6LPd43VtGpT4Awe2rL1 +vQAv6lXnqy2n8DrwtbhcXognwhuR8T9TUHyxMHlwphBDda8KAu0pWM4LMNKe +IwSr5zvV3XspZJUy7U/qCLHvsuzgwAEKR2Vb764yFeLXro22Qb4UJs+WHbjl +KITe4oRnjmcpmL5TGmtxEYI3ctEyLpGCu4lD4nceQhzrCz5+6zyFF3Vjj9z8 +hLjxwqi2NoXChTkrZuvECJGnmqKRdYPCwqtZT5PvCXHy+3dVWcUUMjMW711e +IIROi5pFQAmF2ekPPtf+JUSFRt7FdWUUpKmVs+WfCTFuejW2qJJCa1K3S/g7 +2ka2Dev/oXAmWn/isLwI7v0zmls76frTuUnyKiJws9h9xj0UTkSaGnDniLA/ +w3pmQC8F13CrbV0sEcq2OzAFAxTYwW5XflktgoPRCumdYQqfj2St5riJUPKu +Z3JsioLb4cUvuzxFUDXO6+1jELz2euAU4SNCiqmFf6McwdNDlVElwSK4WR5+ +k6pIkHmgu3HFeRE8ZBrf9TIJbOz0fXX+FuHAnDvm13UJ8tlZ3DE1MR76r2uX +mBOc3VckF6Ilhkb90Pz9awncgl95TOiJ0WK0xLiETaBaNLyQYSJG86rO3MOW +BMErwWNaiSFcapLFtSJYv+gDz8RXjB8t9OQvbieYu1k4I99fjL7Flquf7iCg +Dil7rTopRuda3uNhG4KsbLNF7GgxnG5Uztyyk0BON+bW5nQxQgN2HmvaTVCn +tvC223MxLlUdnQxxJuCZsRX6asTQ3FvDizlA8Judjbd3oxiK9o8MfnchME0O +NPZrEyOx0aQozY0gVbn6dtiwGO/VMvoveRA4T3vmprHGkeUW/miZL8EgdTuv +LnAc+5YedJ95iuCR98j6kdBxdIXPyqynHd1t0aQROY5ttjGRSWEEmk31EpeE +caiEKx1UiSDYUvx1x8j1cZQ5t78VR9LvCdtAabwch6K7gu2VOII9im/MXLUk +yLH4bWgymWB+lP7LGD0JIuKrkq9eIPgyfmR/rqEEqdsoNvsiQdSgNGZkuQTd +glGe3yU6nwaD1hiOBLU1Fcb/phIoXfY7mesjwaV2xz+8MwgqFsiXjzyWoLw9 +/KUgm6DeOsE27pkEM8yeTUTnEHT8qtKlWSOB1l2WHfMmgaRUlWHVIkH/Z4GX +EZfgB/v5W5O+SLCmKDDI+hZ9XzS7xWTeBPheg+Uedwj+6D06dOj4BJoX6Pcy +CwjuK1ERoqAJbGCduhtLu3ylP/Nc2AQuTITUimm3hZ00KzgzgVB3/pyuQjp/ +9diQqWsTWBCcNnSzmCBp03W56zUTSEu1HmOW0vnxGlmvDaRofJJSGvqE4LRR +/AflxVL0rU7e1Eo7imeVu2G5FDq9Pc6mlQSxvIer89ZKkdP/it1PO4GXsj3c +RorWx68Ltz2l8+btCzEIlmKrdqm77DlBHq+r2a9Gii/W6rk6tQR3jNIzbjZI +EXDwku1R2vd4u1zfNkvBLplKK6Gdz6v6gk4pgoTamnv+ISji3ZxW/yrFyGxB +75k6et4875VlrEnY2UcZdjQQtPBIosLxSeiP5qtsayZgb1mjaxA0Cb3Gauoc +7WsfQ/5cd2oShcz6+AbaHsaMFv/YSYxyfT7atxAIctV1O9IncXzu8G6HVnpe +937880HVJJq8In/Z+4bAoSCm2VFNBtsdjwoXtNPztn/lGagpw8MerrMzbf2v +KuIkXRnSfxmuSaP9aXUa67mxDObBklHlDoLQ4lzPFetkqM3eED9MO7OkXsTw +lCHiyDXFh50E7yvmse49kqHMpjFB6QM9X5W0u+blMrTOtqwE7WVO6pZPqmT4 +WVNYFko7XDDbqalOhr1VpXKfabOWKaeLP8iwJHm473kvgVOGVG0z8xti3KuW +nOgneBvQM7PT+xvODfw7wv1E0LT47gRTawqf3snUwygC339dnljoTeGxv64C +l7Z8iGqMp+EUJlb5tdbRtnwZqly2fAoW/o4KeoSA67lVy4szhVV1y6sraAfl +9P9Q7jOF5KLMhvFh+n+y9E8crphChUzE3veVwIV5+VPloWkI7bdw/xLR//t+ +SXTckWkknCgp7qA9y6aDtf3YNOzL9G9N0y6PN7RrPjUNZlvYwh1iAi1GQWn/ +xWnox/df7aDdMtaQqFxJ9/NG0sfHCRb5xc1bymRwXiky2lhSAvv1VzxmqTI4 +jqsq5v5EO0Il7yFRZ3AUvc3XutJuuVO3o0ibwbky8d4wm3bMgNrp9YsYHI2p +2j8NJwm63XI+7VzP4JCBqXxDGYGKaZG5mRWDYzL/+7UbabO/VUerb2RwHDI+ +cN1pJ1//zHq3lcHJizhglk37pzZTO/c9DE7xdcE83W8ER/M4f2zax+B0tKX/ +Z0n7csiewUVODM6510J/J9pDc0PiBl0ZnCl7R+8rtDU/JjTVuzM4VmfTy4tp +byq+Ov+BJ4Nzu0dhvJn28dj7vpcOMzhLbZ6zRmlf3f2kNNCHweHGfjGePUXw +Px/a7Bk= + "]], + LineBox[{{1.0724922407746587`, 1.0616089548766063`}, { + 1.0726790392311085`, 1.0525164925674213`}, {1.0739287283639132`, + 0.9986165597593941}, {1.0751784174967178`, 0.9513375890379405}, { + 1.0764281066295227`, 0.9102069038500448}, {1.0776777957623276`, + 0.8746750927473375}, {1.0789274848951322`, 0.8441718205728364}, { + 1.0794903526616157`, 0.8324468194412713}}], + LineBox[{{-1.0794861223302488`, + 0.8324468194412713}, {-1.0785913784011567`, + 0.8519134729601406}, {-1.07734619545867, + 0.8835897744677316}, {-1.0761010125161834`, + 0.9204084773716064}, {-1.0748558295736967`, + 0.9629323416883667}, {-1.0736106466312099`, + 1.0116915703278202`}, {-1.0724893064069865`, 1.0616089548766063`}}], + LineBox[{{1.052684009794404, 0.8324468194412713}, {1.052684011319799, + 1.0616089548766063`}}], + LineBox[{{1.0501846363072018`, 1.0616089548766063`}, { + 1.0501846378325974`, 0.8324468194412713}}]}, + Annotation[#, "Charting`Private`Tag$2979892#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0.8324468194412713}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{{{1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, + "DefaultGraphicsInteraction" -> { + "Version" -> 1.2, "TrackMousePosition" -> {True, False}, + "Effects" -> { + "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, + "Droplines" -> { + "freeformCursorMode" -> True, + "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-2.0514884216945117`, 2.0514884216945117`}, { + 0.8324468194412713, 1.0616089548766063`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, 3.714237644331621*^9, + 3.71423838237761*^9, 3.714239395610619*^9, {3.7143082194063873`*^9, + 3.714308247142568*^9}, {3.714308319830029*^9, 3.7143083930961514`*^9}, { + 3.714308799382699*^9, 3.714308818140257*^9}, {3.7143090986415577`*^9, + 3.714309199096778*^9}, 3.714309603240282*^9, 3.7143097173721027`*^9, + 3.714310140061274*^9, 3.714310672380919*^9, 3.714310721292274*^9, + 3.71439357126875*^9, {3.7143937330438223`*^9, 3.714393762637719*^9}, + 3.7143937939425077`*^9, 3.714400449835739*^9, 3.714739171437193*^9, + 3.7147392613657093`*^9, 3.714755299481934*^9, 3.7148067784238777`*^9, + 3.714807443165606*^9, 3.714808174359345*^9, 3.714808692060326*^9, + 3.7148090847780457`*^9, 3.71483049403199*^9, 3.7148315942188587`*^9, + 3.7148317908338337`*^9, 3.714832871422695*^9, 3.714833048025202*^9, + 3.7148350215333233`*^9, 3.7148350520243893`*^9, 3.714836047598082*^9, { + 3.714836304567871*^9, 3.714836327074108*^9}, 3.7148363910890007`*^9, + 3.7148374291199207`*^9, {3.714837724270095*^9, 3.714837750461904*^9}, + 3.714839281594843*^9, 3.714839485997526*^9, {3.7148399217687073`*^9, + 3.714840006646434*^9}, 3.714840752854959*^9, 3.714862651360503*^9, + 3.7148627021396103`*^9, 3.714862740801112*^9, {3.714862969293866*^9, + 3.7148629824280033`*^9}, 3.714863054085867*^9, 3.71486317733552*^9, + 3.714865815026454*^9, 3.7148658759899273`*^9, 3.714865938320684*^9, + 3.714866099372448*^9, {3.714906902368848*^9, 3.714906964342436*^9}, { + 3.7149071783348713`*^9, 3.714907196437067*^9}, 3.714992939815189*^9, + 3.714993192034965*^9, 3.714993812357312*^9, 3.714998584565236*^9, + 3.715380032122017*^9, 3.715380165351988*^9, 3.715380920920414*^9, + 3.7153817900814743`*^9, 3.71538261860235*^9, 3.715412516543985*^9, + 3.715467190927061*^9, {3.715469510930829*^9, 3.715469532118286*^9}, + 3.7154703152914753`*^9, {3.71547104446024*^9, 3.71547105083077*^9}, + 3.7154712967429132`*^9, 3.715472328043695*^9, 3.7154728309233217`*^9, + 3.715712740067217*^9, 3.7157189086996527`*^9, 3.715719306558346*^9, { + 3.715720782842758*^9, 3.7157208019539757`*^9}, {3.715766761179839*^9, + 3.715766770740868*^9}, 3.799285441589307*^9, 3.799285894029697*^9}, + CellLabel-> + "Out[1822]=",ExpressionUUID->"a4d8a1b3-1676-47d5-8a3c-bac1ff0023a1"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "-", "0.0001"}], "/.", + "sol2"}], ",", "0.0001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.714310207432946*^9, 3.714310214897394*^9}, { + 3.714393666840551*^9, 3.714393672892824*^9}, {3.7148630616658983`*^9, + 3.714863062345354*^9}, {3.7149072015842457`*^9, 3.714907204591736*^9}, { + 3.7154695342259407`*^9, 3.715469537481804*^9}, {3.7157208119867163`*^9, + 3.715720840335019*^9}}, + CellLabel-> + "In[1823]:=",ExpressionUUID->"2e78eaa4-cb34-44c3-849d-3080bc18abc2"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol2"}]}], "}"}], + "&"}], "/@", "func"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714309222500064*^9, 3.714309223072945*^9}, { + 3.71483162346412*^9, 3.7148316239436073`*^9}, {3.71490720803971*^9, + 3.714907208136586*^9}, {3.71546954141049*^9, 3.7154695443543177`*^9}, { + 3.715720825780065*^9, 3.7157208295471287`*^9}}, + CellLabel-> + "In[1824]:=",ExpressionUUID->"f27fb1c5-7730-4314-9770-da0a9286f08d"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1824, 786, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799285447910227*^9, 3.7992858968139877`*^9}, + CellLabel-> + "During evaluation of \ +In[1824]:=",ExpressionUUID->"be0a34cd-ea6a-4849-8106-96f6200c0c74"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1824, 787, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799285447910227*^9, 3.799285896892501*^9}, + CellLabel-> + "During evaluation of \ +In[1824]:=",ExpressionUUID->"072a1b7c-df74-477b-bb09-08068455ecec"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4000.0157673701838`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1824, 788, + 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799285447910227*^9, 3.7992858969727*^9}, + CellLabel-> + "During evaluation of \ +In[1824]:=",ExpressionUUID->"1f6c9fc4-edbf-4a7a-8e6d-d6c1bdd0652b"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1824, 789, 31359467532209229604, "Local 2"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799285447910227*^9, 3.7992858970510197`*^9}, + CellLabel-> + "During evaluation of \ +In[1824]:=",ExpressionUUID->"623a39aa-2083-49b9-a919-eebd0f18ba36"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, {{}, {{{}, {}, + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwVl3k81U8Xx+27u9/rXvsaQiGKUjOyFdlCWpQ1oiwV2oVCikQbpbQJyVpS +Kd+jLKlQ+hGikD37ljWP55+Z13nNZ868z+fMHzMKHoHb9/NwcXFxLw//n8fs +DVaJrqZC4N5ZspufOJhwevYcGSaBpuOuwtBgcbgFNc3MKDFQGVVLjAkTh0K2 +4yn1TBEo7wjrS7ogDntro9sHFYVhU9y68eQkcciqGflc0CwIY4e1elJSxSFU +N49X/o0AeBXZzF1/LA4J8RXuZQQ/mCS+9IjPFwczDvw61cYHe7W+2Ie/Foff +fQl3TSl8YBWzayagXBxUDGNH9zvyQnZJXNSuWnEYLUMfKBk8IMu/UhU3icOR +9Oe3JAR44OS+OGGlTnHwNHHcXRbIDayJ1848g+IwaWctk93JBTV+Jzb8nFrm +XbQQe7aXCyrMndteLImDkklRZT2xRHD0Sr3ihEkg/ayBKvr1H8GftvR3H50E +nzNMBkuGFgl5V/c3q2RIEOnpa1DOWCRM36g3zq8gQaWdaKCG2QJh8eLJgUpt +EowSjS6SYfMEf962G5fXk8Dozkv/htI5oulMcrijKQn21/xTeikwRyhM4S1s +GxL0yToF6zjNEg+6NcRbnEmwWBFVD1kzxNWMk8Mp7iTgajD8MME7Q2TpJIns +PEiCxoaYGU/Pv4RKpeJZRggJ0lIZJ4uqpokj61f71oWRwLfrSeh17WmitIve +feECCaBoiefVnSnCeXU8yTiJBPJphsqtpClC+sdbrpnbJPjIzTUP5yaJrZN6 +jTnpy/xz58VXL0wQepETmR55JLgVsiV7/NgEcXnwcBLrFQnqep28W6fHiTuq +6dnV70ig2xB7F46PE7VpvOKnP5OAZioufWxxjHg4HFur1UgCscKiFy3nx4gP +zoTgr18kMBzeJ1RNGiN4JV7XJfSTINAjQ03x9ihx66TSRjxBgl0nXwd9UB8l +Xn/b4D26QIIPsxJxOGSEOLv+p9s9ATLYjak2yt0eJhLUz2+2o5DhnG74k3/l +Q8TryS3yXJJkiM77QcofHySCOEOkfCUy+PAUtQsrDxIzAc2KblrL+nRWStfO +P4S3nmIQZR0ZqP7nWFKJA0Q+10WRMkyGtrCNhy5+7ideXjvPf8SSDFkrrV5Q +RfuJp4mGwUqOZAh9kDuWuK2PsGDG+DbsJUNevnPT0JVegm3ENxPjQ4buVd4g +3NRDuMTx6m44TIYHm9zDPin0EDKW19VHTpLBooxmKRnQTVx7Hjv68DwZrKwh +/eebLsJE+2jyrstk6PA5Z8FD6iJcXTJ1KclkuKN4kS/I/TchzjT/UnWfDNwx +5FJ6cSehtF8nMjybDOm/221bSJ1Emxdn1/oiMpjmbw0vONBBtAuf2D9VSgbC +wHQspryd8OpJLi74QIau3C80a8V2wqnlimtgPRmuOeZpdvL+IvyKtvqvaiXD +o09LFdWVbYTI57DR4W4y8Mq9Z+rFtxKaZ4mZ/BEycM4JRvI7/yDsioOuB8+S +ocdI5Z6Scgsxpd47kMpNAfes00ohk01EpkWoV7gABXRf+9Z0VH0nyrNbS71E +KcC11mHf9ruNhFltGLclhQKPIktj8o81EKGWeWu0mRTo5nf41ePwHyFwOs9F +QpICW6Zf1bfrfiP42PnnlmQp0OO8NfUio54QLvua16dEgduefgZfZ74Q9jdV ++urVKDA1uKvYlKgjkstz1pRqUSB/Zqq+KbGGMObbl/JElwJx5USjke8n4pGq +tHzyOgocsyqk2plVE5U3oDbaiAJNjG1L4ypVhEcN62moMQVajksaCopWEJIN +baU+5hTAq+R9AyffEdQ3H8R3W1HgSpLgRnInEGeEzqZZ21Ggk67y/EbGWyJW +/c7JzU4U0BYLfUi7+ooQ6X6ebrCbAqc1RrVco4uIl++sVbVdKRAmZdhnGVFA +1AR386t7USBNk8G/TTCbaN84aqHkSwH/kNX+5yUfEo8dmydkA5brmfja/PHY +DULRjJcifXTZz+6GirKdp4gXth8eSB6ngI71iHKbWwSSqjxZKHmGAjvbrhoV +SScjpvd+M+lICphPE/X3ih8it8JP7nIxFHhAY1/b4ZiNkrYOiCvHUUDEr1vZ +80gB0t/w13ZlIgV2bTnCStUrQlJ7FFfp3ljmt163enb0JeK/ej13w20K/H23 +Lyw14w3y1w35bn6PAq9vDsU7aALS3tie65BOgRQ1gRRpnndo28vR9R5PKPCY +fYzXsOE9Mp0qiTiSRwGNC4d4XqZXIPvW7bHnn1NAWuCQe+bRKjSh9845+dWy +/5420WxUjeyHaBM5pRSAApEQltAndMLN0r3iPQU8Rh2/5dV+Rptu+2X+/ECB +m5O0wbGkWkS7d6R2toYCtEbH5uCVXxCRta+Z9Y0CfIdpv+1FvqK5Q2p1+k0U +iK2WWc/q/4o4u6qKdrRRoNeC87Oqsh6lf9e+eqKTAi4ZdZmHHn5Dapd2+t/t +pUCxQbStyNn/UF+ctmXFIAUCGrDX410NaCYra/XwGAUEtGZ2mK9pRAZpz5Q4 +fymQp/E+dET0O/rsuFHTfGHZH/rk+OPf31EWW982hJsKPwbVWw+/bkJhTReS +HgtQ4ernHSpOV5pR2u4VC82iVKjJKXnktL8F8R+bTyRTqRDNaGEcN/yB3ttM +77JgUcFlvQuzTKwVnT/HvztCigpqrEkN/V+tSD+AnfxWngozhToVTfltCDvJ +SS6oUOGFsb1+fsRPJPVAtMdIgwpvzbhfEfa/0FnWF+5wbSoU3qWURFHakTK3 ++9EKfSocvGRU+ulYOxo6/ByLb6CCXb/e72c/l2P/d4HOmApQ8Ukam3Wg24pR +Ao/MqGCYUelwJLsDyXBmRSYsqbDmmJbPNmonmjggc87Ujgprk25ofgntRHsH +JoKTnagQKhsUtPSjE8UciOgZ3k2Fi+/Np3/g32jLt5o2Czcq+HULn/BJ/41q +g7rcHu6nwqdT1tkPhbvQLOm/EO6DVNBMjl2X5N+FjPXyFD2CqKBT5Qx6X7vQ +kF2cf0UIFVJsc9vj9LpR5kiUi8YpKtgc5mim3uxG8j2vp66GUyG+aHyV11w3 +CoyyQUtRy7y+NwJ6XHpQ6McDyP8SFdysb/oqEz1I4PLahbYrVBhKHr0pp9CL +qEX9p+xvLPfHce3B5she9MDtVXnVbSr8W1lu49DVi8ZkOlvx/eV+PBvIuGzW +h3ayHn9885gK6jZSjXGP+9BGZH1tw1Mq7LxLW2Mr2I9mYlXw2wIqXM7jpn/3 +6Uez9HP/GRdT4XldUbnKh34UtwOcq99QgaFPJBqpDSAh501fHN5R4cPhG6XS +FwZQb6OXaUcVFfrK4WJV7wDqOPfg9eEaKnx2mtDeZPEH2an5G/J/owLbXb83 +4vEfFPXDuOp2ExWUvLh/XeUfRC666X76P6lQabnfLMRrED0JVFpZ/5sK+cUK +JqrvB1FgkZ3YkX4qbN77YeGJwhBK1a+WYI5Q4f2J5iTu8CG02VPHoWSSCgqR +7QqaP4eQmPLaCq85KrBmE95pGA2j99zxwVQuGjyLao3lvjWMjF0mfcr4aWBm +JhGb+3cYHb295nGwKA0E/QRr1ziNoEp3qbUaVBp8Uub1TCocQWWlUbLdLBo0 +jp/L6BYcRUvuO7wfSNOge77vY+DaUXS09iTDU5EGRqWzUn1eo2g8fmC1qhoN +3H1COLZXR5HC/gxiWIsGZ9VTcXrZKKqMefvx1RoaiLUaiv8ZGUUnakx2XjBc +5tuRPysvO4au9ewJ3I1oEHiJ+6zFtjFUnqgroW1GA123ZobryTE08HVph7AV +Dc5tvalzIHMM2SkLru2xW17Pdrb0bBxDx4tvllTuoMFKrsV6O75xdOqB2MgT +FxrYfTDYpKM7jlKka74nedDA1OTaIp/bOIop2nYm7AANUqePR3yOH0cGl0V7 +/QNokM1taHihZByJJd2Qdg+mwY/NElcN+sdReX6Mys6TNIBttgttrAn0jR0t +7BBOA1FtmY7jphPoyBHzL/bRNODlVDwVPjKBtKQuRTjG0WB7+a3qK2kTSNlD +WWVPEg24PwndJ9VMoKny0Xf7k2lwr+rm7XNzE0hbq80j+C4Nipym5EdVJ9Gl +Vd1iMY9o0DY8d9PRaRL9NaNX33lCg8r7z70LIifRPDsi7WU+DSKe+IwL5E8i +sxfOyd9f0OBqf3KaU9sketNYVzL3hgb26+n1d0SmkL2cLk3xPQ2ac4YGf62b +Ql89vz+0rl72Lz1xu/T+KaQzoHbiTN1yP/8DL4ekKbQi796tgoZlvfLt81HE +FFLKrqYM/KBB8rlHtGeDUyiajbtWdNIgP/FjQCtnGt14XSBzoG+5fuQ3w20x +jfao/KzIGabB8DYnknLwNDokcLP77yQNzr/5TjK5P43mAiDKfJ4Gr5XeOrvW +TiNrWfu8FG46mI07mZ+Yn0bdNdsPjgnSQTft9LpEtb9oVVjnO2sSHcgVt2Iy +nP6ioHJtIpdBB2fN3KQ3kX/RBCfSlyFFhzvvrJ9/yfuL5jVWfwpToMPvc7kW +Xa1/kYNW+tCQKh16bTMz/grPoFA17xb3VXQYefZ6lei6GRTkIHy7RY8Oso+o +6+S8ZtArrw2GOzfQwX/FRUm9xBlk0l9a2mJMB+vxF7qWpTNIMvWQvscWOtxa +6mpy/zOD3peuyRi2ocMVsrz3KfYs+nhUUjbciQ7zyuvW3DSbRX85mx6xXOhQ +MQHJRUdm0bqsbyaFHnRoNZMfaUybRd0UNUEHXzqwnC9cnv88izJv3puZCaSD +oyp3ndLcLHpnVKL4KJQObe8PCtmpzqFqSfIVxzN0eBIbnRTuOIfWf95mJXKe +DlquY+VFEXPI9esm14qLy3Gfzt+R3DkkN1PdGJVIB7vC4vDVrXNoU8XQG6tk +OqS7tL8MFp5Hqb/KpSXS6DD8cn6aWDuPxk9Hcfel06GqzzaJ6jWPkr9EhJY+ +pUN8qEynb+I8Yp5Wi7n1jA5U34cbq0vnURA3Pzr9epnPSWlh9eA8ylsHWZ5l +dOgM6A6+y1lAzDL5b3Yf6BCeYLTEsFhA+edEq0zq6KBoenH8avACClA6n2jU +SIejjZsfSz1YQOvP5mza0EYH6e1jh5/WLSC71R9bUBcd9OM35JgvLizfp41H +LP/QYcvqnryBlYtI4Hosdc84HbxfNn1N3rmIfuQ6VhyepcPlWIWD9tGLqHPc +69ZlLgZ0Dc9+YzxfRNVOD+8UCDLARuOj1++ORfQrV6q1hcSA9Cit0LfkfyjI +YtFDhMWALbun3R5u/Lf8frmNsAwDxFfphl0/+A818gecPa3MgLeVWqrXUv6h +BjWaNqHBgD6zE0VpVf/Q4WJLV6E1DOCzHIx8OfUPcea5pHauZ0Ae/Un/T6Ul +5GhmdjjXmAF++Sqm9O1LqDrJNkh0KwMOa64YcgpfQuk64SsC7RjQXv0RZeQu +oS4/twfNzgygooSbgm1LaHjVw3FLVwbcWVLNLOHnwi0VKiveezNg1WZVz3lp +LqwcOWq1OYABdxskNUz0uLDV8XVHP4QwQFYoYdVVKy5cYrAn2+nMMr/R1tQ/ +Hlx4NL6fd+A8A86oWD7cdpILe226GxcVxwAaz5cjLxK5MH+9p5PaNQa4de9c +r57FhakujgH1txmw+O+RejpwYectr3vPPWTAh8GXQSubuLCBFrXeKJsBddR2 +9GqECyfeF9i0WMiAfxO5VfaC3HiGdcqo4jUDrO7zG07KcuP7LyN/Xnu3fL4U +reLeWm581cZb/9BHBph83n7H2YYbf1B5tN2qngHNXCkTbG9uvLAwaqHbwoAa +f9G5rjPceM+0gapCJwO2lqj9LrnOjW0v3+NhDyzXJ/mx404ON466GTXIGmfA +gW4V9UsV3NjEKPyvzNxyftP6wXNt3JjB77VWi4cJyR1VbhemuPG/LvzGVIQJ ++LHXq2RxHtxn5ZXqRWNCz9kAjSIVHnxo0+6BOEkmLOqyBts28uCao8Ov3ioy +QcpgTpu+gwc7n9SS+7uSCTvS1bWdAnjwfMf+VYZrmKCjpCr/KHp5v7/6wrkN +TEga/rOOK40HC1ja3PluwoTJ3oFc32IenG0zukJvGxMa8uhv2+t4cIHxkdwU +Rybkfmm4tb+PB4+rnN0qtHeZb0YpYoaLF99LECWF72dC4aZjWSkcXnyKy5nG +HcCE+jP11lt1ebHhtqFDl0KZIPCyIlPQihf38mXqyZ1lgmLC4an/PHlxykhe ++JsYJtz6fDGw4DQvfhsRdsDzChM2zu91uHOdFzv6/OJlpDChhPatLTmXF+vT +xv1q7zPhp/7hbY+qePG17Rovkp4woSDSo41o58X/zez45/aMCcJzx+r+zPJi +u8gUF8M3THgSquWhRufD5bWHB6QqmJD1NqchRJMPn+x4XSZUy4Rf9xv9/jPj +w25PcxaWGpnAhzZ6mrry4fM9nUXc7UwgbdPlrjzOh0WGHYVI/UzIP18ZsyuJ +D18scierjDOhW7Nu/VI2H/739nOP+fyyn9kD+4or+PBB6bInR/lYUGISZRj5 +iw8Lxn87li3OAq3ONorbLB/Wv8p3cJjFggckUU17Oj/mzXh330ieBcTkUr2T +Fj+eCBo0vKHOgiNxiTYBFvz4O/2b/bwuC850nOq75c6Pv0YZCR0yYsHpkz5/ +fpzixxdm9p/uM2PB0fbhBzo3+DHFXqA2yJYFWVse7UnN58ea+XYy/LtY0OEu +4Sn9iR/Hif69mO7BAm/TH4KF3fz403dNg+2HWOAQG5eyl0sAMyuyzEVDWaAa +8/2AnJQATot/2vTlLAtWvQir+qsvgA2+L1IexrJgaZO7UK+dAK5Qm6BFXl3O +VxhxduigAE6ZOMwTcIcFe4fFIkVjBDC5cJzXJ4MFfavdvY0fCOBrUueN/AtY +kOnAPJ/wVgD3B9R+DS9hQaAFl950kwA+9Y01cL+CBdK5+EvIpADOrd/89Esd +C1YXmz4nUQTxzf4fSLyFBaUa9UZlGoKYR49e49y1HD8jfYi3EMQk3YrT+cMs +aHK4UBTsKYjjM88cl5hlwV3VTd6hZwVx851TA3G8EmC1M8vo6m1BvP1o0SKF +JAHKjpWpn4oFsaFMW9tDtgSYWMgOyv0niENOeBWbKUlAQdOXxCujgjimMqJ4 +WksClLTuTsuIC2GXDXpixQYS8FJ/7PwHdSGc/m5LV7SJBJRbDGReMRfCNU37 +Ar1tJKCD1+9LqKcQ1k0YanPaJQHGCdIHT4UL4d9FW9ydvCRAQz5q4O4dIfxA +87HG/kAJGO0UftfxWghb7VUKijopAbKGXD6mTUL4ZftHjxdREhC445Vd1ZQQ +TrO9ZTBzRQKuo4QZP7owdje+oGqVKgEhq8abV+sIY8+TF73zMpbzu4YeYdkK +40SrVC2VZxIQu7XTWM5fGDcoVxQ9LZWA2m0bP1peEsbTLnKG5h8lILPuZ0JK +ljCW1P41PtYgAYd+nOGIfRDGnX93yeV3LOv1jEcf9AjjE3fFF8KHJODRbF3a +Pn4RXGGbWeU1KwG6lR4vkLII3uRHebeHnw3afg3l5iYiuLvwkKY3lQ3fVr/a +F+yxrK/R3Hpehg2OhI9kdYQIPr5EdXmhzobmNFai2X0RHG9g8GRBnw1J7n/2 +DYAIbg6UO+m8mQ0WRyhKL9tFcMu2InqVDRv0sj6ezeMSxcdUXcFqDxvWxSdI +fpUXxWtc+T51+7Dhuqt0qoyxKGaROOHXg9kwPxaff91dFNdJZmntiWDDW/sT +gusjRbF7rqfSusts+G7H7yj6UBQnUTMK1W+zYXCKz1qkXBQbT8etWpPJBlYb +LWddtyh20/n7x6GIDXHXcnSvCYjhpIFU47h3bDDhcronryaGn5uzL7TWseFY +Xeabtq1ieHvSJMesjQ3j5AvbPx8Uw5VjbxwqB9hwfkhHZyheDPvdEb3mNrNc +b5aPpnG+GC7IS9nAEOCAb3OCdHW9GG6/ZJvTQecA72zLz6gpMdz128mmWoED +b7x9nY6zxXGUt2r0p9UcuPX1iM/9DeK4R/Jhad9GDmzVDuTmcRXHLkflvBS2 +caDf3ph5O1Ic58uFdYfs5kCujOct/8fi+FAmft5zgANOifTLJz+KY9kfd0yD +j3HA/nb0xLthcezGSBaXi+bAjl+s/yzoJLw+kBHbe40D9VEnkIgBCe/sG19T ++5ADlWqTVqJ7SXhzmOrlb4XLPIvXWNsiSZhv73+SM2UciHT2f1+TQcLrFPe7 +GX3lgMu92jOJNSS8zyK77147B7p6Y48nT5BwStk8XjHKgYtausO/OWS8vdd6 +7vMSB1jR7gohmIxzsvdkXSdLQpo5915rHzL+s/l9T7icJPzefX3S/zIZXzZe +aZuwWhJGJi+aNhWRcbGVx7kyJAlzZRcL49vIWMk3QY1tJwmtfr2NVTwUPMqw +67vqJgn0zaXfR1gU/FexN0j/sCSIaUXcQRoU/CzRJ2QxQhI+rN84UowouNS7 +M2cwSRLkSi+k7HKk4KXCG995H0mCw7pXASq+FDz7Q6nIpEgSsr9JWUiHUXCX +TSkpp1IS+h9pc6OrFBz31rsQN0kCX2lfxOVMCh5a/sUs9UtCg0vvc9FSCh5X +w6sG5iVhyr4yrvgbBcuUxZRxk6Rgc9Ne3qv9FGzkEc+0kJcCQypFMm2Jgn82 +jbBLdKUg1ZXd0sqkYkOjR2X7zKTA9edPR2tNKjaoMRFfs1MKKGvtHo1tpuIz +/Xu5DQ9KgbrE+j8fd1HxRsfa7MNhUvA0/alTSxAVs6TZSj8TpUBA3Z2jcIGK +HQ5WRJ9Nl4IG5xWh99KW91/7vLTj1bL+zvYXu4qpWOzZHOyvkQKZCqPVNnVU +rGviJZjTIQXhQSXGZ3up+DSjVXLVtBSItGbvHl6iYhvhwzYDItLA5xs+kcqm +4V+SE1y/5aShOex7UpwODZcph9/h6EuD0m6pmlJLGmYJcFITLKVB9KCGmb4X +DUvnoUhzN2lomyXnjJ2h4dMVd3+jUGl4UfOycuomDcsnlHiciZMG45wqL5NC +Gn46WFjA9VAavFJ8DrZ+puEePZ6rn15JA7lU5+u7Xhre2erS8uuLNGxTU7g3 +w0PH5J4Ef9QnDXG+N6bPytLxiE6w2eCSNFgdOiS0Zz0dC30fDeiTkIHKNjn5 +uB10XN9AElurLQM6eSL3mEfpWOuSnNP3LTKwdXcR71wCHVsf/ZtS6y4DQ69R +x4YcOt4xsslE9pQMrA7/PdD2kY4Lhlq+fbgmAwcPJY129tFxd3TgwJdcGXj4 +pbDDWpCBS77+22xYLQOfpxZqFVYwcOzRxy/5umTA5eDpQXczBmYUhFmsXZKB +6qiXV6n7GTiHdpf0VVIWjAsFzfWiGDiRx2x701pZsMum5tWkM7CBpn6YrYMs +XCBFZXRUMnBDnYHa+iBZUNrJbxDcx8COr37SUuNlwbZlR2qsCBObU4O0T2TL +Av9ErfkKLSZO/qXyuKFaFmrDyF02dkxsWvWorqhPFho9mK5CwUy8w7Zys6yQ +HHjwPOx2TmbiqOnib3Q1OehOoAxtfsvEKjtPpNzeIgd+QfHr6jqZuKD5/fhr +Xzn44/qrmUeYhQ2LfS4duyQHiS9zjLtWs/Bgi4bH9xw5eL7K1+ikMwsfLEF1 +7V/kwOJW579PZ1l47rbdpVuTcnBO+LFWRyYLLyw9+RElJg+f3HV7yupZeOPC +9XEZOXmICVKvDl1kYe6si1c4uvJgfTKZX1hdAudVKvw7bSYPilvD9kc6SeDE +Gyaft+2Sh+JLr/YMRUrgnaqZLfH+8nB8QyLdqUACa8+xXM0i5eHAKCWyol0C +V/FHDB2/KQ8vvp4+YUVlY2YOI2JVjjw8O6tJTG5mY61nQdGH3svDKf+Vyl9C +2Di8WqHXsEUenNgC94ey2NjX+C7r7pg8ROq6hOz7xca64ovy94UVoHs630qf +xcGW0/klVooK4JLn7BFtw8G37NN2ZmxQgBVBW177XOBg3jXzG0qdFOArY3Lb +2HsOJhhe128HKcCple6WG7kl8eDmzlSrOAUQWFBxP4Al8danZ57/yFSAsipt +WlKEJL4g4pywu1IBCO0KWlu5JK7z83Bt6lKAPXI5RKCIFK5LVxP14VMEg3P7 +0oO3S+E9wXb+kiqKUBbXoCB1Rwr7eq+4J2ShCCdmtFckD0hhv85pZ0s/RTis +0yynukEaZyi22s5fVoR6c2u6aII0XjxSXLO+SBHyQxqnEnqksezMeRPNNkXw +Fy5yFtssg3kPbWTNCCiB2a09ob/vy+C9EhbXP+sqwQz/h8YYAVk8rXBI55eb +EmQYa18LC5LF0nwzggGJSiAVO3rPs10WT/l0/iwrV4KtrAX7kR1yWHpqbYn2 +vBKc3sJXtPifHJ6bi7dW0FeGkYJP6z5ryeM/Yq7x5KPK8C1XT5knVB5nzyqK +XC1ShuT/jMgD7+XxJTalwmdRGcrk+2mRbAXMERLvPWmlAtkd5xjUEAWcHTwY +u3hPBSJNI2LNfihgGWedoIglFfAN2B7oba2INWzVX63wXQGProsrptcq4vwf +Pzf3ta+APaT0F8tPD/yT/MBB6aAqBKy5THpPV8a6pytpqSQ1oGVWWwv+UcY+ +fmv2ZjaqweR0riDmWoEPbjy25kKTOsy8Gb99MVoV/45WTBk10YDcMsMAboWV +uExrtb10gRb8D8ZEFe0= + "]]}}, + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, { + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwd13k8VN/7AHCGYSz3zowZxEiYFFooKVTcrKVS2ptsIWSvZC1b9qgUskUk +awhRSe4jUqFSUZaUbJ9UKBTJ8j2/3x/nj/frvu5zzrnneZ7zuop2nvtOUPj4 ++H6gQfn/0ZR9pZMNFx3/pD8e5ieq8Alpu3dskKvMNvE+zAeNJSW5iq/ZkK/7 +bKpITQSCrMW3OTezgZHNL2S+FwNtumtv6VM23Ghx7r9gg8Ek+cL/N7Ahtm3h +9HfkUi8VqS21bDggd91+GNlZMaoi7D4bvlCatv5EVno7ZP6igg0D21XOzCL3 +hhl9p5eyoXohqkTQFoN9g/zLb+SyIaxQxkwGWTzJFgay2GDQ2lDARX5mTFqq +pbOhR4WQXou8Jf9c0v0ENmwUtZU0RFZ2mRZ6G8SGoSiPPHfkmfEfI0JH2YBp +qSs/Ra64uTNy9wE2zJ9Rt2hDdrcoUkrcwwZt3pKoHuT+CqdjiiZs2POgbOkE +csvZ/tbNmmxYZTn4bdlxDDL/fSjzwthw5KMgKwjZSLjhbHc9C5aOp4gY22Fw +t+iMwqbHLFCJcqyxQJYzX95y7QELkkTf+Vsj/06MUNhdxoKgIg8lP+Q8pe0t +ZAYLpD0uqt1BFtF7qXDblwUOtm64tD0Gr7w/tHiuYYGpVkr1DLLukmifVhUW +SPa1WAo7oPcfaSuqLmeBYN1vCSnkYEqaT78sC3gfeis1kTWuWCoepLFgb01I +vSfyteIvProDEnB2R47yd+Qj/d8VqakSUHL0eMr4CQwWQzVSyxMl4O5NutUi +cp7iWYb1FQk4UfpnHd0RgynbhYXqKAkQ23Gcro6c8Jnx0dlHAqyuJqZ4Ijd/ +1Epu3S8Bsyv2/5pE3vIhWDQRl4Cpw28MRJ0xGPBpDCVEJcBd295UDjlWSuTv +D6oEVHU/slmL3Hnw6n/G80wwVhVt3od8tj23cfo7Ey4qWcZkIJe+eRF07AUT +Hh5MeKp5EgOFVtakUjgTRJWsnp9ywcBp54q5U8FM4M0ekItGLm3WptYHMEE4 +SDk2E3nrCytpm1NMyAhQuteCzGvK35xuzYQ9LQkGK10xSILN4SwdJhyrE3Ma +QBatspcUHGPAc//T+V7uGFhs8JHfP8IApd3Tp2KRUyqjV+YMMqBWzpCXi7yy +okSH6GFAf96D8E5ko7Jpq3PPGSCRKGts4IHOp/Bi3lQOA9Lv5F7heKLveaNy +09BhBtTv0zIf9sLAR4aHhe9nwDXikCzlFMrfRL4BpT0MkLY/LCiPPHdx9yVb +Ewa4xfitP4RMDfhvsGcDA9bOF88+Q5Y6xLn6lsmAEpllh8tPY+AlJ9QVfJ0O +vGevV2Z4Y+DN2h/++BIdfvOOjD9C9hO9qf4vgg5eY2OdPcihMzqRPt508N7d +LiF3FoOr7e6a7hZ0GCO8lDOR78V1xPPE6BCW8N9QgQ8Gf+dyDbSCcQh21evu +8sPAritJNMsHB/1shvc8cnNV5FuaBw6PspdoKvpjkObhbPfREgfK6nLFk8i6 +favCLujiYK+f3DiLHNhQUf/mNwYNF+4bKgdiMB8DhIcbBqeOFOilnMfA0bGc +1onqQGfjlZeA/Mogp23bMXRuPQ8jR87/X31esJU0w2CJ/UO/zUEY6LmbhtSu +RH1IqsDmC3Lw3lek6IA4vNg7YaMVggG/9Ee9/KPiwJ9U7LAYhkFRhbPaob3i +UPLf2bB1F1A/Mv8tSTUVhxbTyk575JwIfNRugzjU3CpSf4FsNEWky9PFYVh+ +Oj45HIPoN7enkxrFIC7RwXBLJAaMOM+74epi4JPccagqBoMHK+fSNVeIwfeR +X4tjyMcboqP65cSALXZvRCUW9afZbGtCVAyUNxMhN5APnGwXnxsUBY2R5fUx +F1G+meicPJMmCr8lnds84lH+8wso2VFFgWmWquyegPabdD/v7pwI1IsWzhch +W6q6rVqcFIFaDyGpEeQUi44NGf0icPJ9Ac3xKgbMnHzT96QI9EHSnN01DCiG +u9zNAkQg30jkyMkkDAbDkx6sH6dBK3t1eWEqei5jtjV0mAbW+v0SP5EVShbq +X/fSgLaw5/HGNDRfh1OLWysNvqt6jjYidyjrfsorpEEakfRkMB2DpqZPAhwH +GvwtpYesz8Qgn6ayR6BLGBwomy1otzAQsvSbTn4tDI3xoWwbZIey51lqTcJg +Y2isXY2scOjkT4tKYXDM6sw5kYvy6VZRws14YVD/upv+4jYGl/TWtG81EIa1 +YreycgpQPXmvP+pXLAT4wL2wW6UYtD8L4xfPEQL5gPUKwmUYaHLeFWalCIEn +LWSVK/LP+jOzTRFCYONlHr/hLgYu9Kp0SVshsDixIra1HAProk2fKthC4JDs +85JZhYFx3xb70fNUKOyDe1OPMKDJrFMp8abCb7PT7x1qUf5bKI+6uVKBF2Dq +1YFs3oD5/jhChcYkbfzBY9R/8z7FftekQlyyCd8FEs3nFlIxMiIItHOfVmg0 +YHBlpoF/+KAgKPie7vvWjPJx3YOm27sEgfjSO+nSgoGky52LJwwF4bz24qXv +yGk9iZJDGoIQ3e1pPdaKwa26E6qDYoJQ5ejtNfsKg+pwYYv+egEwfVXesfod +Bj2MnTc/rRGATG+KzUIPBhIGTgtblQXgSn5/QuRHDMzOXLC8IScA9auKd9B7 +MajpeLTEUkwA5M2f7VD6hOZLW53Q9ZUCg4XzKeZ9qJ8ux8Pab1GAvDPaDYMY +dG96Y98sQwGVOi0d+hiKf3K0XpVJAfNdT34WIJuliSjE0CjQed16i+E4ij+3 +7aPpND+sbiQT/H+i+PUVB56284O9gbDh6ASKvzPRGC7zw7sSUP81jUGX9eGV +1VR+sKgJfeJBwWHfHnohb44PdvQH3lYTwKFZ/5na4gQfdPRO7PgPuUZh09rt +fXyg/BbrtqPikNEvpdVdwwdSN8XV7Gk4WDu+N1jw5INoC3VuDI5DU09Rbdy9 +RfJ0dLKNJweH6lpZ6MheJPfmH242ksMh/0Zsg/zlRfJXChPjLMUh2sal+e7J +RbLUlbe0WR6HnQOqne3yi+TiQfL8eiUc2r4VTMrFLJBVYbIDq1Vx6Pmbp1Zi +NU/++OMZ9HITit/iaKu1a550S63eUKaNw9UbK5If686TOmr02gQdHMy25fG/ +kp4neXbniKOb0X6ib3eOvZkj3/VR1k/o4ZAmnRupYTJHNh0PNtllgsMRrez+ +yrX/SAch2sPbB3Fo90pPq1mcIfUVc+9J+OKgUX9V+uWPGbIhpz7C2A+HeGZs +4ueuGZK1ZkWQvz8OJhV+lwTvzZBn1Ld/HQzE4eHkwTBz5xkyxjm15kUIDpk+ +DJf+tmnyqFDi0tZYHJzPReiI5vwht+rny9Zk4fAvyrPzqNEUOcAzjHd/iYPC +rdJLjeumyK+O7Wu+vcLBqG7USH3ZFPmE8krJuQ2HuCnXcsHZSTKOGoA5v8NB +/rhzbFnZJOk7s37BtwsHQvf4FipnkjSqM2N2DeEQ+WPfzbu/fpHPMJ5i3iIO +SjlubbjeOGmloSh4YxMdttXEZttxxsnRp1H9B3XoYPu24HT1zBhZ4Nonw9hM +hyzKENu6cowsOaCdHK1HBzl7q6MlKmNk5nH1rhhjOkguN+/fyRolB502K7/a +TwdanvpU9NdvJCf2drXdKXQvFk5IC1wbJl0fvdvYf5cOOBns6+o+TAo1T5dw +K+mg3i7+4Z3pMMnYxRpzrEL37MKK5Ny5IdJvW1TrxEM6TO47xjZxHCILsWIZ +hQY6zPxrYMToDJLSbi9L3nTQgd88SYTe94V0zFrrkTxHB9VBzz9avG6Spxum +MLKSAe7kexmN9Hpy1b/1pQdCGLDwMEM19SXoH/4cUXlsiAGLKSKLI4we/Zyr +h+ta7Znweaow7tvWYf3AgucHZkaYMPiRHrSldFy/QfBP3EKcBERoPB/S9p/S +Z7fyOp30WPB8U9xMZMuM/s8tr/nzJ1jQm+m11TBwXl+bo0QuR/8BCSdW+6aO +8hF7nRT9LyZLQq1S/opYCQHi9UTfoUoPKWijrx9f50gleomix1QHaTj3uc59 +MkGYMLr7dXW1xRJgfj5GdfshQsSE7p9LOCYDevWz+xbkxYnLZ/kT9/Jkwdvs +pm+MCU6cYh+8yD3KgWb+4u4T5gxiecF7fd3TcpD3OrL92gkm8blutnjluaXg +W/WNtzRRgli2NTvZN0seWsfe7OI+ZhE614/ELpDLwF2mRmbjWzZxT7N89KyT +AlAs1c7kLkgSgYMqDbL/FGDgcnr+MmlpYv/rFV9CIhRhu/QVU2m1JUSvntpk +MqYEOdXi3i4HZAgZ82zN69lKsN00NrDZRZZo671/Z3IVFxpKqwNve8oSl5ua +p6zWckFPaiAwxFuWyA7OJZ5rcEFzaPO5jUGyxK4l6QMZWlyQvzB6LidBlhge +kDtkos+Fybq9QQEPZAnW1icjqfu4kLlROlRNiEP83bZQaujPBZlMw1CqGIdw +te53Kg3kQiLVK7SPziEy74gtlwniQkz789BkGQ5R/Fo+byyMC96nA8IoazjE +tspPbalxXNhR2nuhez+HGAm/9PhnFhcaJUXDq45wiJtXRAuP5aD1nt8YfsWK +Q+zzTLjelMuFDbsuh5s4cQiXtPLzGYVovd+IiIoADrFWs9t9eyUXUi3cI+KD +OcSgyc5TlVVcYD9MjXAO5xDMc8W+8g+4IBI9ESF/iUMIP1oVP1XLhfBx+ci/ +VzmEo5Bxhg3JhYVDOyPbr3MI3h/90uZ6LvjX+UaWZXAIlpZMg1YjF6aUcyNj +szlEgNfL7ptNXPgfCjcRSw== + "]]}, + Annotation[#, "Charting`Private`Tag$2980034#1"]& ]}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.339416822971297, -9.834239220428765}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.339416822971297, + 7.046118345915609}, {-9.834239220428765, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.006367567650246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.294049640102028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.699514748210191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.85366542803745, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.987196820661973, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.104979856318357, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.305650551780507, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.392661928770137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.472704636443673, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.546812608597396, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.615805480084347, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.680344001221918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-9.903487552536127, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.819778284410283`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.41431317630212, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-10.126631103850338`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.721165995742174, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.567015315914915, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.433483923290392, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.315700887634009, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.517193191416238, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-8.111728083308073, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.824046010856292, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.418580902748128, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.264430222920869, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.1308988302963465`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-7.013115794639964, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.8971199848858813`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.714237651648513*^9, + 3.7142383916598387`*^9, 3.714239403751025*^9, 3.714309211850031*^9, + 3.714309261042088*^9, 3.714309732210947*^9, 3.714310154972595*^9, + 3.71431023276715*^9, 3.714310694480132*^9, 3.714310740933058*^9, + 3.714393602935491*^9, 3.714393680229053*^9, 3.714393739396183*^9, + 3.714393770144878*^9, 3.714393800313098*^9, 3.714806781373952*^9, + 3.714807455026805*^9, 3.714808697123797*^9, 3.714809086773779*^9, + 3.714830497321988*^9, {3.714831620188748*^9, 3.7148316289374733`*^9}, + 3.7148317985123463`*^9, 3.714833059002692*^9, 3.71483505932909*^9, + 3.714835112635359*^9, 3.714836052389894*^9, {3.714836320367176*^9, + 3.714836330124798*^9}, 3.7148363927162323`*^9, 3.714837433922267*^9, { + 3.714837726830574*^9, 3.714837753898795*^9}, 3.714839493280683*^9, { + 3.714839926507812*^9, 3.714840015177497*^9}, 3.714840754831308*^9, + 3.7148626520471*^9, 3.714862703968164*^9, 3.71486274283499*^9, { + 3.714863057019565*^9, 3.714863064309969*^9}, 3.714863178562976*^9, + 3.714865816451881*^9, 3.714865877028667*^9, 3.714865940494349*^9, + 3.7148661019375687`*^9, {3.714906904061393*^9, 3.71490696741742*^9}, + 3.714907213558223*^9, 3.7149929505746737`*^9, 3.71499382213667*^9, + 3.71499859704425*^9, 3.715381792448391*^9, 3.7153826229158173`*^9, + 3.7154125175849867`*^9, 3.7154671975840073`*^9, 3.715469546277809*^9, + 3.715470320722879*^9, 3.71547105515735*^9, 3.715472332202488*^9, + 3.7154728329388638`*^9, 3.7157127450676928`*^9, 3.715718910120512*^9, + 3.715719315294084*^9, {3.715720847368701*^9, 3.7157208507464647`*^9}, { + 3.715766762764868*^9, 3.71576677347832*^9}, 3.799285448266378*^9, + 3.799285897227746*^9}, + CellLabel-> + "Out[1824]=",ExpressionUUID->"bb4d52a0-9fd9-4de7-a34b-1de89ddbec96"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol2"}]}], "}"}], + "&"}], "/@", "func"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.714907226585177*^9, 3.7149072267446632`*^9}, { + 3.715469549666236*^9, 3.715469553001905*^9}, {3.7157208656727257`*^9, + 3.71572087663551*^9}}, + CellLabel-> + "In[1825]:=",ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-5b974a88b162"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "\[ScriptCapitalM]0"}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, 3.7142540416013527`*^9}}, + CellLabel-> + "In[1826]:=",ExpressionUUID->"7b49aa4d-971d-4f27-8504-e3da44463eae"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, 3.714254694969582*^9}}, + CellLabel-> + "In[1827]:=",ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-42b781072e2d"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{{}, {}, + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6], LineBox[CompressedData[" +1:eJwdV3k8Vt/XNWfOPCfzEKFMZWhvY4gSmUIJUVQ0SympJElSqZChhK+UIZUo +JFMpSVKkDJmncO8zGHvv773/3M/6PHefs886a61zHkX/MJe9bCwsLH9ZWVj+ +966+Wno6tOQG1Dp4vllKJODsr4bPlQb3wE9iQav6OgHxR1x9twRkQWfClOz5 +JAL89KOXrunnwK33BxOtbhDAIWH4xZAvH+KFSi5yJRPg/nYdn+vYY1icn/z3 +nsIFbx5z01uLYDbLgzXxJgFBgyP5d3pKoKlGPt7lFgFrEjQ+Xe56BqkDh9Mk +bxPQrzvV69r5HDouRRn9onB56M4Qju6XsKBzwOdhCgEsN2W4HvS/goa0IMGQ +OwRoyhUFG05WwvvvN53W3SUgR+iZV+PCG3jkLS07R+EfKLJbb0UNDGvIRry9 +R8DYsvvmSyJvoWigcm98KgF28RFTQ6trQXtGbtA1jYBu2r5RL913wBW7i7Eq +nYAe2p7OfqyDusbM+yMU9qzkOxC7ox6sfi//eHafgNygHG/7kAYw571XcC6D +gIM8GmF6MY0gWREv6phJwLzhqUhMb4Kq+3/FpLMIWNaO33W2/D1MveovGqJw +XVosz9+OD1AceXawLJsAF+bSiTuMZjCu735x4QEBCmcEi8/IfAIlHklV14cE +0KqSmh9CC6zZbrtOOYeAr9NWU8LBn8HS9UI3QeFl3yjVILtW0IseUq9/RMCm +4EDhA79b4YVInNidXGq82Lv+949/gfXy0Q/35xEQZbKmaVGgDXrSh76Z5VP1 +nUnMhLw2KIz6Wij0H8VXSW2Js+VXeFiyS3OQwrtinV45/P4KLBuzHCsKCDh2 +KKw76nQ7DOoWSyY9JkCGX296QvobNHXlXg0qJMBILfJL6qtvEFWa/p/5EwKe +Zhvujd/ZAbzhBUfEnxLQ1bvnbtViB8hLjQ5PUvh5nJ6fSdZ38OM6wttYRMBU +nkIFi80P2MPc9TOrmIAYe5lCsfEfECz1wft0CbW+w/HWp5I7gVzRkuBeSkDI +pXOp60y7QHrsUtj6ZxSfyg2fcLAL7h8U4FxZRoBSENeKgqSf0NcRvXWCwmyZ +fSfDzbuhlGfJ8cNzAkSihbzvjHfDl+RM1v9eUHp8c55UTPsFB0piD8a9JKBd +/dQNUcff4Of35ca+cgLkTYviwpZ/g+/uzDD7VwS0rTtssrG0B4ZMhbm1KgjI +aPTjrtDvBf2ddj4CldT4Ka+rha/3wsRS0MHp/+FAgxjV8V745pJk1v6a4ifx +jShjcx+4HB/5UP6GAJOqUPO4R33QGXlLOqOKgOmTMZ+62PvBPrJC82I1ARGM +2DvT/v2gduv8YkgNpadtLseaa/uhZV74pstbArTalC0PKv+BxPlbUya1BOi9 +fTbw/eIfyGM1FFJ5R8ALJ1sbgeE/YJ2/ak6gjoDSviqXlQ4DsKf8dAGTwndf +PmPtfTIADw2jVAfqCUiqOe94XmQQ5PduD21tIGDLLz992slBkPimEfWmkQCd +fRGvzX8PQkmgoc/jJgKYwiThYzME2VsKeFLfU3yLS0/seDIEVYqvY698ICCr +yvuNusQwPBzKaj/VTEC68/HY7+eGwZQniQz5SPnZPPJA0NgwbAmrHfb5RMCv +6unUDrcRoJ85UrStheL/07DVmtoRALluR6vP1HpCBLMCdEchus7srXErAcl7 +mqcu3h+FsfNfBdZ+IWBih9uJJP4xoC326iu3EbDRrPlC3Jkx+HU+z0DmK6V3 +a6fQsMkxEOQOFRZpp/iSk4jbvHscHm483Mz7jQDO7Ftmom3j0BHJGsjRQcAi +e+xsu80ERM4Edi9TmHeHkOz1igk4mTBkOP+dgNrTv3Ss9SbBiu/rYfoPAqxL +jJ7ScydhL+epG0QnlYdeCor/yU/B0oxGykwXAfn+JyR33ZkCW13D89M/Cfgn +yaMpJfwX1vPOuk53E+B4qILWefUvkPXPV878otY78knkK/s0ZD788Xz2NwGt +xrFlYDkNX0fLNtN6KH7YD5gZnJ8Gv4ncBmYvAcEyWnylNdMwLypgsNRHQKJW +/aUKlhlYHtx8g+0PAa5ktvg2ixkw4K/o4R6g6iszNQ7HzECWT5OC0CAB9QIq +65TqZmB/X6eb1BAB3M3auQFcs/Ck1yNacZiAjhN72I3tZyFh4Em21ggB4j9U +3t9PmAW5d/aVRqMEOA3lnrnXOgvHctNaLMco/XIy8rTECfgmJvFr2zgB+25I +dLntpOZhrh3xnSAg4TVf3v9y0/m/nTMHJgm4+JbMi6Dm3TorPn9mijpvQmRP +H1tLwiu5bvbEvwRo/+WuEzxOggRDSyhrmoAG7VQt+zckTP2KVXg2Q4CBkZif +KhcNvOrCjRpnCSiz3Cj+aBsN7pqFu3YTBLye8+X4cI8GddGCp2ZJKi9Xn5u4 +PUCDm6e/5/PQCTDM9kjm1aOD2hevAUUG5UfekzWaZ+iwPKy21pRJYW/PzbQm +OkzNtF10myNA0P7U0iEJBhjRyInwecoPQ4er7wYyoPCbWvC1BWpd1fzhx54x +YNGXk1awSECLx24mOzsT/trp3X2/RMBLjT+b7V2ZwHBwcBldJmAHx/UdtjlM +SJedU+FlIcGZMS2zRGOCyrlBYW1WEnwy7TLC7ObA3rlSZhsbCeqL2SOZaXMg +FK9pcZSdhMNvpnmT/s5B4fb+2LscJMgIa6+ytJ6HeJa0ySpOEjiIkE3l9+bh +uA7/ySEuEkrZWG+Tf+fhU+WMykpuEnb2pG2ds12A2Z+8cxt4qO9X7slqyliA +/1bL0AJ4Sdh9jL8xkLEA1ecGZZL4KOy6ckWr8yLUBBsdeMNPwqGxokL+x4vw +rqZzbFyAhB/ZmvyruJYgeDHzruxKEjZ8+3Se3X8Jelf7nnQUIiHWVPVIbdUS +GH4eiTsrTIL/hLCDj9wypHnKfy4RISGLb/bs18hlKhe6twyJkvB91bvENV3L +IPKBi1VOnIStnLYsgSb/wJXnwrSLBFX/VDkgJu0f5I6Yyl2VJCEgTMQ5bukf +cJSvjq2TIsF25VkDMz0WvF2uoPdPmurncHLhGn8WZNc0lDOVJSHO77+xpFss +uLTdwzFCjoQq5rxTeCML9idfqn2xiupnPt/kwzwL3jxUG02XJ0Gt6qt0lg4r +HrordsVYgQS7hCIvwp8VT7Ne/nVKkQTewNSD9XdYsXxQI/qNEgnyWutbJD+x +4sNOgaNsKiTcdQqdG2djw5/fncrtVKl+WvOOWG1kQ45tnC5JaiTc/tZSuzqc +Db/qull2qlPfpwZGxOSxIS74X1XWpPZr4oH6wR42ZLR66oatIUFMJjmkT5Id +mVF79V5rkdAWqNTX68yOe6++TuKlfHR71mbdwXh2POmU4rJTh4Trtnwr4urY +sXVWN+KxLgkjm8rF9P+xY9fNZvZlPRLkMgdFwk04MNSymLF9PQk8Gmk1eIID +86TXuOfpk+BiceBPbikHrtwar7hsQEKS8e3NOX85sNNc3cfdiIRIEekak7Wc +eOi8D3exMQkKK3rVDoRyotlivAbfRhL4rnT4mBRw4tNJqepgExK4/vE75I1y +4km2Iy31piSYyP/4VabJhYJBK7xUzUkQnp4R3BvCheHt2/bEbiLhwOW0n68e +c6FqYePoCFB621dt/3ySCy+yzJCOFiQE/icW7KW3Aq0KXS+VWlJ6eW9pn390 +BdoERt2Xtibh1jYuwZyXK7D4AyvG2JBQruH+c+viCvSMiQybsCVB5/OVngIL +bvSyvKzjaUdColX09orL3Cgx9ulcvT0JKR2N4edauDH69vxegy0kuDY3XFoU +58HMkuo/OY4ksPwY6NPfxYPHhDsWJLaS8DTueY96Hg/qsC8Vx28jYd1V5T9d +0zyYt3eek2U7xc9outc2U160qUpdOuFCQpkhVlyO5UWFbSWpf11JEHzBGxvb +xotJa6V697tRfF9ZYbd1NR9yeRW3DrqT4Nh57nbfAT7c0rYnLMCT0p+YtqBV +JR9KPZOt7vciQWhTkM9xXn7ktm2vDfAmQcDX1/D0Tn6ckr8SNeRD5QGHg5fH +Y368pw+zIbtIMOPPucm/xI/9JJvKzG4Sck54Vd7fJoAm+0bET+0hwekG1zOB +hwJ4x4KvmS2ABIcduvt3MwTw7VKibWIgxQdv5I/bjoKospRxVTaI4tdhfEXZ +A0Gczjh0vyCYBDYnZb43c4LY6rPxnOl+iq+MdLay7StxcsjSoCWE8qvlhGx6 +wUq8gt+r/Q9QeshltTdjE8LFbgfVuYMk6M2Vu+fqCuG6N/PBN8JIiJJw77/m +K4Tp1xyvah0moZBUzyCvCmFj3dPkxiNUXh54YdVdIYT6tXfP7z1G+ZsYumk7 +JoTEZLw35wkS1hopeRjKCGPWD0GVvJMkhMRF+hY4COOM98vfDqdIWLL+ejbv +tDD2VSpcn44k4a0oT5rOE2F0bprecPcMCZuUZVMteoTR/V9Hj8VZKt92uh3o +FxZBruKEy5PnSEi+eppX1EYEJ1d90087T0J+Ae34twgRlH0UNeJwgfKb2FK5 +1hMRbP7t+9/iRRJuDH4YkuwXwcoGj8jiWBI6jjXKpkuKIm+fx+6gOBJMxyui +KpxEkeHn5iMfT/mR75/p8YuiKOXscvzHVSpvtEuvt1SKovcL76e3rpFw+vB4 +ZRMhii9rr/C5Xidhh8O0QJC2GKaT/5JEb5BgaR76K3+vGErYTlp2JJPQJ5CT +cDNTDMvcE1TTblH+s34Vp9ElhiZ3lM39U6jxV/+0DxEXR+ETnIlad0mAf5dd +vbeLY3JCkhzjHgnktg8Gy9fEUfyT7mRdGvX78sk4t2Zx/FOyk+P2fRLmLx2l +BfBI4MKB20HBmSRkPJjS0baTwEqpw1Jm2SSoPH1KFl+WwGOjV+VFH5LQUuki +SmuUwI7dN6ImckhwP50WuMAtiYFnTEyacklomCn73OAgiQ2Ek1duPgm+YjH2 +O69Jol5gVk9sAQkf3Mfay1sl8f5Vsbb9hdR6N2peGBSTwu3n0gy3PSVBY2D1 +sT9eUqgyYLDSuJiE2oH8jueZUrhS42+AYim1X5JTI7uHpLDi9fAGwTLqfP1a +wxxYK406rltuLj2n9BtABtidkMZ8KfeIvy9JmBiuuHutWhpzSdfJP6+ovCng +kCjnkUHZpixGVyWlD2ZfaPMOGex+kp/eTt1j2tOHTZuzZNDDbKSvtZqEszwp +GysnZfBa08THz2+pvLF9tybTVBb9C3YEfHlHwt/XK0Yi42XRPOZzwbd6Eh4R +a31dumRRPFr+v+5GEva4P7qiqSWHfY/FAofeU3zJM6M5ouTwuO6dvtlmKg9O +WIcOf5bDkez76mwtlL9myi91KK/C8B3rzcRaqfPghJhyR8Qq/JR1RFWzjYTB +Z5qFYy2rMHTj9VFsp/y0IShLSk0eOyI/Jnp3kNDl7ZsSeFYeN1fHyJ76QUIF +p4fZ1+/yeO2ZfMq9LsrPkf2e+9evxl9PFDnfdJPg6XywWStxNR7kUgr785uE +haLfCavHV+OPw81d/H0k+J2V/ZGjooAXfHu2bvxD5SNPaonHDgWsczJs2zdI +nberohgFFxVQb1NlaNowCd6se3yynyvgT/YTSl9GSZhNsMk2H1bA4pLzSzwT +JGitH7sdI62I5LIwh+0U5ceX2tJHHRVxquiI+aVpEj6+CpEWiVbEXyzcJY2z +VD7zD93yL1PEjaLbggRoJOwT1k4NHlVEB9/fge4MElLVou1UViuhjlxQ2YM5 +EuJN7VvT3JQwtKnYZ3aBhK+lMUe/JCghz7WHe22WSViZpxfbVKeElm83fU9j +oUF/2fdDF5eUcCAw4xWNjQaHg5m53MbKeDdzXsyVkwa9QYmVnoeV8btl/syz +FTTYlXDTKaJQGbu3SntK8dJg03KsSOiIMt6J/OUczU+D8pPMdgNVFSyrejAw +LkiDM/2Sxzv9VbD2j6GctzANtobYj/pkq2CW6AWWFlEaCOlXbXrXq4LWh1JS +rSVo8LlLOFVIURUnstOJKikafKdNGNv7q2Jz7B8xc1ka8JUWHjyco4qHqrpW +VK+igeOXlQXXhlWxwl2sw1qBBmo6o8cfaKnhz3CbKy1KNFBe+n6sLFwNxSds +tXxUqf5YuYKaXqhhqphEw6Q6Deymx1X+LKnhTfdvARfW0IBmJFfAY6uOEbSP +gqvW0qA2RIzf4ro61jSGfqnQpYHLHfHoxE51VGdsfuGzngbcr9i9GSoaeLR+ +dRObIdV/tqPI+cMaGOreJfzEmOr/RofZumoN3Hg2LsPbhAbzbfSbAoKa6Hp7 +7ylBcxo4ZYeTsrs00XP7jyf1QIOdL8/s9i/SxIMPj24+b0ntT2vnwhDrGtRJ +Z2y3sKFB27khiWK3NWjm5tLJaUeDtUV1qnUFa7CrN2u0xYEGqUaXGzRZtdAH +9K6nO9EgY2j/22FPLRTzPttxyJn6H3JMjJezVAtTeE0/2rjSoKV8pCaOXxuT +pe2jFN1poFrqYxC5TxvzPKvprF40OPHer7+3XhvVykZthr1pQLS3napTWYsG +Lg4RX3bRYGbX8k/tS2sxoDw1rWYPpZfXa+SVhtciz9zHN2WBNKi5Yny10EEH +r4/wTz4JpuaXtnvUXqSDst5vjQtDaDAcd1b9oYQuxoVcKyw6SIOElY0rFM/p +on/99p3l4TTQtSqL8BjVxWYuHeeGozSIi3lBy1ujh+8kY+53nqDB+IEO7vg9 +eqiW+nf77Cka9FSM/3W/p4d3fL2jhKJoMKeR1Cjapoeff0/pGkTTwOrmn8/1 +fOsw9ot0pO8FGjClnx88YrsOdz2/eSAhlgb38l9qrY5Zh4YnfKXeXqHB2K7a +yi9V69Ba6l3iQgIN9PxXMa8vrkO/cN8+0ySqPufnwG7T9dg4IqoUc5MGxzZa +lmw+vR75XeUDWlKofj+Yv3J6vR59GrleKqRSfPYMxUYsr8cPNx7rnbpPg6cp +4u0tFvo4u9biz/csGhy5xpngEauPD7bv6DfLofRcyvtJ+qM+DnJ9tMjPowHv +e48xOVEDFOsYF5d5TIN/p74f3OdtgD4s7keTn1L8vZOS4XhkgI3NAmHCpdR8 +FdsmGH8N8EXvKfk7z6n9vREq72hmiCOvgu4ov6KB/IilJk+8Ib5Q55l+8ZoG +hae+Nxh3GuLyEAtsr6HBcctSslfTCMsdvdNm31H9unnRBc4Y4VeuFLm0Rhpg +Zq9H02cjVCeyuxyaaXB7OGVaWtUY9wgMTbJ+poH/2dZB/jPG2HbMMqymjQba +nF+ePG43xtF40YjYDhr0jX0TYdXdgJ5ahko7umjgYG5lJHV1A7L844zT/E3p +M5G8uTiyAY+OhdRx9VP+aXzGWWG3EQ/ca5sdH6SBzo/vDT4FG1FAY6Nu5ygN +1rsJRMwImOC+ca2UlkkaiG3conzpqAla7fxk/XGGygMBOqj+NMECyU7PNhrl +f4b+yx5rU/RUyJ/unaPyyOLYSG2xKQ7LGWoxl2hgLL326S95M0ztVNCQYqND +QmSbP1w3Q/6hFyssuOhwcTvPEIPVHDN8Z8eO8NLhkLbMA8mT5rjuZwzxRJAO +sdO5N4qmzNH73herWRE69Dvk2XzZtwlt33L9A0k6tH0qGk8c3ETd5wXt78jS +gXfy8o6FQEC+5ixb5mo6bHUUXdAcBoxTsloVoEKHrsT3lySNEK3aXYjvGnQI +3vrg+cpIRA4Lnmn3tXQw4VjnF1eNeLcrxrR3HR0uj9m8SeCywBx6/fJRIzqs +lWo9qLHNAuX+vA8QMaXDwacXooPvWaAdnL1dCXSYG39zwn3QAp+mt1WHWdMh +vbPAnk3fEv+FVK3UtadD4qXisIgYS7y83v7ZnBMdGvhV+hu+WmK+ws3Ozy50 +UKY7Ki+qWWHX2K/SEg86BDyrtFY/Y4U7+VLCM33o4HSKOenx1Qr3+fjY3NtD +h/z56wEZ2tZ4WUJob2YQHZ7OXkjki7PGXKNOjtJQOhT0qHKUDFrjW2d97y/h +dHhd7S+YbWODRt+YmUvH6fBD6XLZVJ4NHv50iN/4NB0Uwy/UPeG3xWWJ7T+j +oumw81N59+xRWzyo1GPXdokO8TUeJ77+skUP89Fkg6t0YHXaOb3XYTOeP/Sb +mZNEh+d8KmlvX23G1PGuSuUUOrDf+Fq3rGWHCXov5UvS6GC7dXuDUbYd6r6V +DHLKpsMDEU3hi9L2OHs/6gczlw4RHmab2G7bY+Jxj6pnhXR4k+OzqkXUAePu +i/qfLaWD463f9ZwpDljTvV7Iq5wOyU7G+U2yW9BM1EfSuooOIW0vs4wfbcHr +zeFNUEcHA9bTfMfXO+K5dw9OOH6gg+d0emfOO0esi4g/GdJKh4mN7XkTnk74 +5P0m5dQOOix9vtxxdNYJ97862P6zmw5H7M4+DEjaiuv3nRjR/UOHJi5bm+H1 +2zDH5WJ1yigdjEIiuLW7tqHB2OPXQtN0mLp19qWelTNOpHPbZtDpUKtemd+d +5oyWe7rrYIkOSRHRrAYMZ0z5XfyIxs6AO7vfmLq4bceULZGeNbwMiDyGRjte +bMfUVa+ds4QZ4NNd7OAp44IeuUWcKVIMaG1fvffseQpXH5jNXs2AMy5uq0bG +XVDykVhKnRoDProsfSn3csXfqv+OLq9lwEO1nnrxZlc8tmVM1NmQAR/YHEEN +dyBfgTZbhRkDCu/Q/xN9tQOTz499NrNmwMjxkEoeIzck+5xEO7cwYPjS7lSj +l27oz10bfN2VARos2jzNZu64Ze36Q37eDEjamHFzvsEdO1gdPzkGMEDF/HrN +gpsH6q5uWOcWygCF+subucc80K+4YGvkUQZ1n+py8L3giUmPcn+9Pk3VTz9I +MVXywsk638xVFxngWSI/ONzghQmMd973ExiwnPxX4/HhnbjG8Ey/2W0GCO7v ++NWm5I0hZ835lu4zQCQj2a+kyxsve2968TuXAc7xWVsz7vlgr3/ex/4iBmQs +5U3Rd/tigZuABe8rBrDwXHogr7MLPQ4RK91rGfByw0zAOY7dKHHVncp8Blx0 +Ixzj/+zGd38tBnZ9Y0AHb7FE914/PBl6SFq+hwHP3oZJ1v/2w4x3EzxcowwI +5rpmXe+zB2O8uyckCQaslSMeqvXuQWVN3RVuSwwY625I3rDfH8tUzhRWrWBC +8Yd35s5Mf7wZ1QfuIkyIc9BSe38tAOs4mAarVjFhzYOPZZxrApHu3ykkrsEE +oeT+7rBPgWj0yyQU9Jlgo1jbeipiLwrez/h7fxMTjvzN+JChFYQT+fd3rXdg +QvL00njAcBAennO8vuzGhOGhL0ZehcG44FcTzuHPBKPhoocyp/eh9JanfLaH +mGD8Vshr+479aFdufLE+kgnv/63jfr4hBJstf8heuswEgtF/TEAzFGlHYvQv +32KCc+ReHQO1A9ilP+nUks2EpImEaIl1BzHnu6SIbxETEmUiH710OIRsX3i3 +Gr1hQr5YjYX+sTAMlu6e82lmwtP8jbJ+HuHoqvvPpL2TCX/eeox3LoXjmaLR +4MwRJni+cmiyfHoYd3yV4K9lMKFb3idx//4jGJd+fAJWzIFaktWj9XpHMUhn +G/8qyTnY9M6pNpX9GPb0lZX6qs9Byq4bEhUDx9CQLS6ca8Mc7Cy8ttjYfhwV +CF11Ofs58PmZaLb62wmU75AQytk5B78ZyhxWwydx+RV3/cMDc5DOIvZsgP8U +dkmm2Cuem4OmTQN5Y5sj0W9Flrhy8hywJKdAROppLN1pqlj8aA6qrnnaMbii +sIRDYfbzqzkYy1Q3Uk46i+7iAwXxLVS9Ht38qlw0nihykhv9MweWrbaWT9jO +Y5aiRCc5R/VX//to1OJ51D4T71guNA8JTRLOW/kv4IUzCe2bNOZBwe/H6k8G +FzE8M7nnFs5DYaG4vuipSzivs39lk9c8YLC2UGV3LEaaPNgzfHQeIlp1C+YD +4pBvR9cu9uvz4OjgyF0nGo9yfuCi83geRl7eg6mZqyhQqnT1TNM8/ByVtdnP +mYiLPN8LOIbn4czhBFbUSsJBk5esvVwLUCcUXJxy8gZ2P2X5t0ZjAfpTt/nW +Tyaj5QUs59yyANWhS0f1bt/CsOJLibfCFiB8S24AeSIFxyRi51hSFuDFnZec +wRl3MSIv+0Jk1QII2p0faJROw9JHlzg3jC6AxRhL4b+EdGT5/2cR/g/dYioU + + "]]}}, + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], AbsoluteThickness[ + 1.6]}, { + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}, { + {RGBColor[1, 0, 0], PointSize[0.0055000000000000005`], + AbsoluteThickness[1.6]}, {}}}, {{}, {}}}, {{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Identity[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.71490723455093*^9, 3.714992966088601*^9, + 3.714993834078186*^9, 3.7149986043129787`*^9, 3.715381793707883*^9, + 3.715382626011362*^9, 3.715412519764538*^9, 3.715467199306806*^9, + 3.71546955464159*^9, 3.7154703248389797`*^9, 3.715471058012825*^9, + 3.715472336529356*^9, 3.715472834318211*^9, 3.7157127468945007`*^9, + 3.715718911477994*^9, 3.715719317753957*^9, 3.715720880934918*^9, { + 3.715766764279975*^9, 3.7157667782520227`*^9}, 3.7992854550138617`*^9, + 3.799285900729093*^9}, + CellLabel-> + "Out[1827]=",ExpressionUUID->"2891a233-1c81-42ce-86aa-770ae3746586"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{"yy1", "/.", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", + RowBox[{"xc", "/.", "sol2"}], "]"}]}], "}"}], ",", "sol2"}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.714907240520297*^9, 3.714907240607555*^9}, { + 3.715469569289987*^9, 3.715469575017853*^9}, 3.715720390067239*^9, { + 3.7157208856041117`*^9, 3.715720887138336*^9}, {3.715767780969428*^9, + 3.715767794303997*^9}}, + CellLabel-> + "In[1828]:=",ExpressionUUID->"03dc4111-b9dd-47fc-9035-d84fc2a5c657"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.02553697452187921`", ",", + RowBox[{"-", "0.017621558207938266`"}], ",", "0.01836105393724167`", ",", + RowBox[{"-", "0.024962348634958227`"}], ",", "0.041203120190962256`", ",", + + RowBox[{"-", "0.07893218529410909`"}], ",", "0.17065195159048532`", ",", + RowBox[{"-", "0.40936650351920106`"}], ",", "1.0778572538357372`", ",", + RowBox[{"-", "3.0913355889726457`"}], ",", "9.599486580323076`", ",", + RowBox[{"-", "32.108909980307516`"}], ",", "115.15595570772864`", ",", + RowBox[{"-", "440.9964370598193`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907241156765*^9, 3.714992970455934*^9, 3.714993837416197*^9, + 3.714998606097374*^9, 3.715381798437476*^9, 3.715382642291196*^9, + 3.715412524983698*^9, 3.715467204017927*^9, {3.715469562854548*^9, + 3.715469581046711*^9}, 3.7154703328456087`*^9, 3.7154710660119047`*^9, + 3.715472345565695*^9, 3.7154728430768137`*^9, 3.7157127558886127`*^9, + 3.71571891570743*^9, 3.715720392104065*^9, {3.715720883681593*^9, + 3.715720888971623*^9}, {3.7157667656603823`*^9, 3.715766780598701*^9}, + 3.715767234289537*^9, 3.7157678787451344`*^9, 3.799285946131138*^9}, + CellLabel-> + "Out[1828]=",ExpressionUUID->"99b0d141-27d7-4443-a034-a9c5e4749d44"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "7", "]"}]}], ")"}]}], + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"2", ";;"}], "]"}], "]"}]}], "]"}], ",", + RowBox[{"Abs", "[", "yy2", "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "#", + "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}]}], + "}"}], "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.7154125443588943`*^9, + 3.715412545198742*^9}, {3.715767243266692*^9, 3.715767295528594*^9}}, + CellLabel-> + "In[1829]:=",ExpressionUUID->"c32f25a4-7a80-4c63-8b1a-2597dcbbcf5f"], + +Cell[BoxData[ + GraphicsBox[{{}, {{ + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.667627895775339}, {2., -4.038632228335453}, { + 3., -4.019549486272981}, {4., -3.7580558967360895`}, { + 5., -3.3147273608071934`}, {6., -2.722685060186863}, { + 7., -2.0035229726701376`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.667627895775339}, {2., -4.038632228335453}, { + 3., -3.997523491448141}, {4., -3.6903866439558044`}, { + 5., -3.189241292703893}, {6., -2.539166209162015}, { + 7., -1.768129167477496}, {8., -0.8931444275702607}, {9., + 0.07497504612674148}, {10., 1.1286032269664028`}, {11., + 2.261709615827273}, {12., 3.4691335611006737`}, {13., + 4.746287346229486}, {14., 6.089036796184774}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{1., -3.6676278957753397`}, {2., -3.953521003156157}, { + 3., -3.951732038085195}, {4., -3.726799521700022}, { + 5., -3.3195454485208944`}, {6., -2.7581406955145087`}, { + 7., -2.0632045498836007`}, {8., -1.2504853685963093`}, { + 9., -0.3324056716511915}, {10., 0.680984205098251}, {11., + 1.781385458837325}, {12., 2.9618294202499347`}, {13., + 4.216381353816265}, {14., 5.539926158869547}}]}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[ + 1.6]}, {}, {}, {}, {}, {}, {}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[ + 0.012833333333333334`], AbsoluteThickness[ + 1.6]}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -4.831179804328376}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 14.}, {-4.831179804328376, 6.089036796184774}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.809142990314028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.521460917862246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-5.115995809754082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.961845129926823, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.8283137373023015`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.710530701645918, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.506557897319982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-3.2188758248682006`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.8134107167600364`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.659260036932778, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.5257286443082556`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.4079456086518722`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-1.2039728043259361`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.916290731874155, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.5108256237659907, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.35667494393873245`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.2231435513142097, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-0.10536051565782628`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 0.6931471805599453, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.0986122886681098`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.3862943611198906`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.6094379124341003`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.791759469228055, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 1.9459101490553132`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.0794415416798357`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.1972245773362196`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.995732273553991, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.4011973816621555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.6888794541139363`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 3.912023005428146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.0943445622221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.248495242049359, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.382026634673881, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.499809670330265, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.703782474656201, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.991464547107982, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.214608098422191, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.396929655216146, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.551080335043404, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.684611727667927, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.802394763324311, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 6.907755278982137, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 7.600902459542082, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.006367567650246, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 8.294049640102028, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{ + 3.714740013729273*^9, {3.714779016092326*^9, 3.714779023940958*^9}, + 3.714806732903997*^9, 3.7148068647733803`*^9, 3.714807066951405*^9, + 3.714807678966655*^9, {3.7148077287353783`*^9, 3.7148077379434757`*^9}, { + 3.7148089588534193`*^9, 3.714808970053562*^9}, {3.7148092108135777`*^9, + 3.714809225878975*^9}, 3.714830983950481*^9, 3.714836849826356*^9, + 3.714862656238078*^9, {3.7148626890323343`*^9, 3.7148627076539173`*^9}, + 3.714862747461363*^9, 3.714863068753543*^9, 3.7148631864026203`*^9, + 3.7148658203011723`*^9, 3.7148658793114023`*^9, 3.714865944416368*^9, + 3.714866106227007*^9, {3.7149069109587317`*^9, 3.714906972088879*^9}, + 3.7149072417429943`*^9, 3.714992971237383*^9, 3.714993837718052*^9, + 3.71499860634844*^9, 3.7153817984709*^9, 3.715382642331382*^9, { + 3.7154125250315866`*^9, 3.715412545701928*^9}, 3.715467204067246*^9, { + 3.7154695638042583`*^9, 3.715469581117589*^9}, 3.715470332893573*^9, + 3.7154710660578737`*^9, 3.715472345613228*^9, 3.715472843125593*^9, + 3.715712756035997*^9, 3.71571891575316*^9, 3.715720393014649*^9, + 3.715720889749467*^9, {3.715766765699602*^9, 3.715766780652773*^9}, { + 3.715767234336608*^9, 3.7157672961802483`*^9}, 3.715767878790309*^9, + 3.799285946237801*^9}, + CellLabel-> + "Out[1829]=",ExpressionUUID->"20942259-e30f-4d84-b330-ab8e8d50c863"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol3", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "2"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "/.", "sol2"}]}], "}"}]}], "}"}], + "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "8", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"(", + RowBox[{"xc", "/.", "sol2"}], ")"}]}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "5", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "2", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->CompressedData[" +1:eJwdymlIk3EAx/G1tVIow6Rj+ELckGSuWIarFxs0Vsu8kuW2F86DsSH4QqU2 +c84ZtbVhx8SDDp0vphYoHsM17JGhoCU0l0rERDzSsqC2guWkpQj9f8+LL583 +33RtrULPZDAYfBKMS6lfpuGwdKbnawzOKq4fbCSKsmUJkDMUOAKfeh+nwF7B +/jN4yFjigrHNiBe66+0+qAolis3EKyInbRvnezFsOOVSwDP//oqbiJP9yjx4 +NcRWwzhXroFNPqsR5udXtkL/8/k56DlnWaK/89FVGDKq1uAlqnQTFiRsb8Gt +nWAUyoaF21ATC7AsRPGdaTb8kcpTw1yergK2737TwXvCmjroV080wG59yAal +3e4J6EyR+OHkTo65GdaoLLDoFdsG72Zv0NZXWlughql9CF/LB6vfE9c/ZBrg +apXADg+8tLbCxoG6ZcjUc9ehJ7k5K0jURija6kesa46RsFR3VlIIe6Mc7hjx +9Ik5WrmJI4S32w/nwD9ffsrg1CddLuT/HrLBzJYnDvhmjXLCvcJgBxSlnXwB +M9J5Lnj0Yqob+or5tG8fKEfh5b5BD4xsSMZhl91BweMdphkYnr3/DpZ9Zi3A +gDmR9kZcSXmJtmOd07D8ZngRcpmGj5BvSF6Gty6wV2BAnrQiGCWfPo32P5bv +czs= + "],ExpressionUUID->"1424ff20-6033-4ed3-b705-d151fae88968"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "0.004701065171526088`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "0.8948274053186349`"}], ",", + RowBox[{"h0", "\[Rule]", "1.1542046975060243`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "4793.846556115625`"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "13107.361351359501`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "1.2898016196817352`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", "11976.538808874297`"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "3656.6037243792985`"}]}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.85`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.715472917086932*^9, {3.715473018473151*^9, 3.715473116077983*^9}, { + 3.7157127564571047`*^9, 3.715712762000225*^9}, {3.715719325704011*^9, + 3.7157193284207067`*^9}, {3.715720925040577*^9, 3.715720944574478*^9}, { + 3.71576678495737*^9, 3.715766795907391*^9}, + 3.715768226449067*^9},ExpressionUUID->"5ddfad8e-fb4d-4242-858a-\ +dd840fa2c101"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + "[", "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol3"}]}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714808243331522*^9, 3.714808245322274*^9}, {3.714837252376389*^9, + 3.7148372526476994`*^9}, {3.714993287664439*^9, 3.714993292931672*^9}, { + 3.715382041308226*^9, 3.7153820494752007`*^9}, {3.7154697722699823`*^9, + 3.7154697779735107`*^9}, {3.7157209353663673`*^9, + 3.715720960429715*^9}},ExpressionUUID->"1e22c783-e918-412d-aaf2-\ +2c5ac92c2176"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwll3k4Vd/3x5EpSmZliAwlyTyTtSlSKWWO0oBy75VUkqLIPCVEF5nnKTMZ +QyRjyFjGc1Ey3sQnQ/E9v+f313lez9l7vdfa+732PufQzbvG9nQ0NDT/aGlo +/u8pEFB1nMxioc1Q///PK3LG1/pElWGORmbeT0IZfvaLnc0Q1YMzrIoKd4/r +gWxWKISJmkEKw2e98vNmYMyuU+0tag/jw57zgt328Lx+Irm35TaUh5WRI2sd +oMjpWYAIiQhMBTe5tWpJsLerxvR96V2YuVDpIfLPGaZPvfnjIfoQdgZ4iwb7 +H4FH/Bwx3cUVJMoFrQuKHgPXqvp4R8sjeFMj3F6e4A66acPN/KQnwBUaZGpT +6AlfN4+o6da5A4U/+BTdvBc4Gz/KI+x7Ct+i711eYfaGJFreyMpST1BxFzYt +uOULb/JL6KjeXkAfZxHvkeUHty2tandJP4cNlui0hVV/2C7MkT32zBsOuH5x +rngXBMevGfA+EfUD1QOKfPvmX8I6C7X7RYcfcNkatPl2h0NzBTkoxcUfbF85 +7RkqjoArbD/+trYEwKlv+Y4e4a9AsjqsYvRuIOhmNNtefBEFv+1VnKn7gyBJ +hYvb/VU0BNf5TfGRgiFqVU10sJYM5oTjCce4Q6BA7a9SwGQMiPIMmENdCDj7 +hhHD2eKgylG8/da+F6CXZOOcHxwPswJNReWlL4E55MGe3Qwp8M1WudxOJhyC +Ris6PjalQIP67sgl73CI6mr2LwxMhZCZonN00hHg7tpwPFgiHURP0NQffRYJ +8hX7NMcKsoCZq/9N6ZdIiFUN+Omdmg1Ls1luJ468gpXwjSqzhByojjJSuNTz +Clya6yPpcvLg0kJihptoNDywfxi0tbcIVgKWfhx8Fg2fNbZsUWkRRIppS338 +Gg3zOglE06vF0G81VsAR8Rr0nkXzazaUgGWbQGXuDhl8doepajSVw4YdafOi +dQw4RXhVykZUQBxNjdafihj42u5r9truHYyqWjWedIqFrUHdFCbBKrieGdM+ +OhoHLENb/xV01wKt7uweH7U34Mj1eeZGRx2kjqkaHY16A66uhjxHut7DNPdQ +38Nz8VBqFXYy/l4DOPjwjLFVJ8DC3c2X/W8/wG5he+FynkQwDTnTsU+vCXKr +y25Y30sEpr8Np9MnmmDhl8n3LMkk6M01pdIIfwQ1ubZHyeeSobBLkCH50ydg +3qbGPHicDP9R9K7UPmmFrx37q/WzkkFVUSbmuXwbPLnt8HeBLgXcyRcdZHLb +oTaR6bl6dQrok1hfH27rglBH2dQ9szh/krmQFPcZrmpYNE3wpIL+cjUDu3M3 +bA9kMvjfSwXutjii16seQHv1g79IpoEM5VD4AdsvwD5yJy/DPA3GDaQCYPQL +YNnRnW6+aWDMv9oQaNEH3qdm2IQn04Czb1dAjGk/NLv7viKR02HPisGYMmEQ +Ts99iKdnzIR3VqIOWTQjsPl7y/yzXCY8GkJxTa9GoOCfEkeMdSa8jWvXpzk6 +CrwcWX7HijPB1elV8dzlMZhWDXEyvpIFiqoE2l8DE+DlZ4KSS7KhcPfFKu4E +Cii9DN0kjGVDo7g5bfg6BX7EfCxTZM4BFvquIA2zKbiQr3r009UcKFo1Ypbg +nAahPgHOJeZcmC87ZOQXNwPVItNTmtfyoG21O0Loxyw4SQklMgTj7ObVcs/8 +JxxSMrfsLsuDPrlPaVyffkLg6dbOmyz5kHeWMHI6fw4snPLLg8rzobrMqSjT +fwFWa1wChlgLIF7gY8JdbSqQ87yj1a8UwbD5aSL7+1UIhbu7FO8Vwa7D7wQG +WNbAu8/6nrR/EbCt/nfV3HINHLeUzgsXFYH39T2/I9bWAJ37Qc9AXwzv5pnG +6dX/wOzcOZeevGIgEBXuR01vwNgzNUpbQzF85rV08T+xCV84JS42DRTDlmmk +qS55E2o1to9V7BSD6gOlNf7zWxARXDT1xqQEjohUBN/68Bc0pHhMbm+VgHAi +i6lg/w7IvqdtvM5eCjuSHh2MQjRI3HhJxkqiFFZkCnuIF2kQ25NPLOeNSgHQ +pXjXSho01fb4g0JaKbgR/+lnv6BFoYRx+e2zZaCkHpjXYbgLjWVnsUfHlcN+ +pc+XP4owISTzm2xWXA5WyZ0HXW8zofRSbWHe1nK4qOVUW1rAhBzfDxwnr5XD +zq9I2yFtZvS3b9e52IsVkDS66dFlvxsJ7FzzS2B8B7fQyYzRz6zostn+zYz7 +laDof7PuciA7qv1m+/xWUCWkncnQ+VXGjkSuFzIfSa6EZBVbh0GMHc0S9fmy +uyqBpvaxW7AWB3LzclHKlayCC4oi5KQ1DkTO63EqGK8CUTWrwXxXLjRAGzRV +cbYGWj1G5hrLeZGUxNV3K9dqIMcs60rHLC/yMpAPkXlYA5p9sZwHBfmQ1Muv +CplJNSB2+O3PJB8+5CUo5R29WgMXNU1fHTDfj6RVO0RcEmvB/fyRLsbd/Mjb +ca+N/EodMMxWZ/VkCaHhl5j8Hab3UPLhXZbhtBA6XlrOkCP4HlLEC8m8hw6i +4Y2rb0VOv4cHPGlfot4cRDIBBX/3xb+HAnqjx9pRwuhritGbJb166FSy41Zo +F0Ex8wYLA4YNUBvu3Ow0K4o2H1JuWlg2wMpXrX0pbGLoCo3H12HbBvhj+e3Z +LmUxJMJT2DLypAEmj+fxXfYWQznaPClYdgNU6XOonhEWR9URmNkifSMQxA4z +nr8pgUZVn9TT1zVCyaiuu/VeSaT9gUvFv7URP1fNQ8vUJVGy4dt8pv5G8LyY +j8EtSWR3YzKWZb4RSttooxfrJdFisL4L+4EPMDKSUJ358CjaHuM8KvjwA0zU +pONXtxQS9s2LVDzeBIp3Hsv93jyO2HjfXvJUawIs57XwB2kZtJ1VwN5xsglS +Ytl5mmxk0HhHcdhNqyZQuJChZd0kgxK5KoMjApqgUdgtbiZMFgmmNXsvY01g +kbzmX06WQ/s/jN3Pe90Mm1pLaprnFBA7DbuJGE0L7Jhd4WDdUUbrk2aV+Swt +oOVvHaYqqIKwxjdCKjwtcOLjY/8n6iqoxOfIrIFUCySR0cJJFxVkygRPnUxb +gJs7OHt6TgXFsDllVWW3gPquxHCbUVV0SKhzy+jSJyBZ7qJV7VFHChqB6R6p +rWBz/zMnYesEOp46fqjqaQfo3+0ISBM4haxaDeSuSX6GZv6kBx/IZ9C6g1V+ +x80eEHknlHokyggV+Xqaf+3qhWg6p8cmZibouadM2xuRPmj+0/XcYcwcaUd0 +9na/7AdPJmvL0DErVBRF+mG4PgAaIbdseCg2SPNR1MdnBkNwSTRTk3jxBipx +zlcXLR8GcbLx+tdztkj3zAXXJ7u/ga2z9y9RNntUrzZhcOrJCJjJSk6Fd99C +1AP3JC2mR+HzzQPTYmYO6Fcgx+nEn6Nwqi2A64aVA1r5U2w/szQKy6X23XHX +HNDqwErqg41RMF3SmdpFdEAbES5C4WxjcM/tvmb+MwdEx+LG2aY2BlZl/UUm +WQ6IZ/PZX40XY/CAlZZ2ac0B8RKEBbwjx8Azgul65aYD2j9cr95GHoOyAj56 +zx0HxF9B88gidQxKFEs5aXcT0MH73r8evBsDD+nCvcMCBCQ55/c9HxuDnUD7 +hG5EQBrfQnsOqozDTUenx4MBBERm8Csf0hwHOi1zLu9QAlqVexoXrjMONCFs +fyUjCKgg4I4d3flxIHvVFTrEEdAh5QvrM7bjsDeV53JhPgExh+8TeRsxDrkc +3c8teghoUC/yrubiOLw/KU9Dx01EiveCTVdXxkFZ5Wcm534iCo/3Vn+7Pg4W +vI8uHBQkorO/7+8Spp8As5NfXx8WJ6K6ZBMynQDOwcGdm4pElL7FXd9mMAHh +zAy9hcZEdK+YzGaZPgEAisNaofh8+pKWwpwJmJZ7cOHuSyISt+h8xlQ4AQ75 +36QTIolo8C/NckXVBFQyuQvMxxCRhgGxm6d7AjhujkYYZRAR/YRWeN/GBAzq +JT9SryOiMXkLg2M7E6DdHJx/qIGIrD+oeenQTcKl792yDE1EpMRjohbLNAl1 +/xQF3rcS0Y/qgGwDzkk4p2lo9aePiAwZfwVmHZmEVCHssP9PIqqU3bYzkZqE +y4d7g0UXiEjiMqvOjvQkmMhwSVQvEdF2nsSGucIkeHq3//ftNxEVX7IiMJ6Y +hKPy/D8o/4iIN6HpjL3xJDDf+NXIwkFCk4qvWcSeTsKYbcp6kSIJyV2rc2v0 +nIQwNSv3LGUS8gqe/n7NexKqttQ1Y1VJSARTaIoPmIR23Zk7TpokdD2s2503 +chJc/oR7Tuji8WaZF3dnTUKKpcO1kYt4PG456+wcfD6tnpyfMR4PLNr08ydh +YfOPtJQpHu91RoZP8STEinVl2Fvg8U7q2vyrmYQ4L87HqVdJCEtw76b2TMJS +mHCHAoGEFNpST7zsm4Sea1RKGJGEvFfb8o4PTsLIxiG+7yQSEj23P5A4gtdr +tKfXz4mEbq6XoemZSdhHOXo/+AEJlYiNFnjPTsLoPhHTehcSojPaJXRoHn9v +ev/c8kMSSs24tHGVOglPDLpckRsJUYyXioc2JyFNVy0nywPXf8Yj4vpvEnpZ +xw6WP8X1c7TCuGkwqHttmlb3DNenCSFeYsDAXzV+oN4L1397RKxjHwYn9wm1 +B/ri+sMXIgicGBwp/Jrs5Ifr07vuMPFgwB10xcvIH9e3ah45xY8BgbbfnC4Q +12e6EfVeHINT5l/OS4fg68NRNhN9BINxJmWtTZzH+ZlU70hh8DJo8tyHUBL6 +dvztVwE5DMJL33WgMBKyVKU59lsBg22RExp/cB5EJh7tyhhkz71vyXpJQr0m +Gwcfa+LzE4JU/oST0IWrhs4XtTFo89Td/zqChDpvJTUe0cHgcMkQt2wkCbU+ +1rMb1MdgKi3a2ugVCen7xJS/PYPBq4JT6YM4N4fOM/oZYjCaMkpvGUVCDUkR +OYrGGDzPX2E5E01C2jnTmyxmGKh67i2sxLm2RNWQYoEBR+lZB9HXJKRRG5xQ +ZYUBU9GOsj/OlR/HlsKvYkAu8uWbxlmlWw45XMeg7IPSHi0yCZUN+0SALQYJ +rXe4wnAunD+qtOSAgY8tjYVIDAlJr3n4fSRhYD8nFnkd59zt7sF4JwyCztqN +xeEsySwm6XIPg08xx9W6cc7kcH18zgWDm01LKf9wFhdoaxd9hOfz6gD/4Vh8 +f8QFBTcfY+CZJ5psgLOIzN07vR4YxIQ+V7THOVH1w/tsTww2Iov63HEW1OFh +9/LG4Me6tFcoznFnHW5Y+GEgNuSqRsZ5v2lNiUwgBu8kOP6+wfn1VTZ6xhAM +qmuft8fhzH37htnYCwyOmV1Ke4VzpHNZZlk4Bu+DWP39cWZ/wrQe8grPZ0j7 +/gOcX/hYnbF9jcFgosdtK5xZXryN04jFQFz8sr0mzoGvaRY44jEIDCeReHFm +TDY58TMRg+aV84/n8Xp9czLDGlIwGIKEsGqc6Uo3JsjpGAyYbOT64OxVayh/ +NwuDlBX6z/o4b39M8tbPxSC/1f7PLpw9ulf6hN5ikEdqPlyD78fmsJ7EWiEG +l607rR1xdqPEuHaW4PXQSb/mw9llTfuAeyUGrFXVB67g+7uyHUE0rsGAS8Ps +5hruD2fmmZqj7zF4a3awMBBnR4EQm+Em3G+uiqYJuL/mxMcLC1swmLahyz+I +s4OMPG1AG+6vHAamONyPdjpDacrdGPz07P74DPev9W2xn5HfMBDeFL5Bg/s9 +xpcpXX0MA5k75MyreD/0p8zbTE5g0GhNU1aO94vhaGn/8RkMEvV0Dpu/ICGt +S6caWpcxUHNVvWUZjNfjJOl+dwUDTo2p2ZAg3I8he1R41zC4r0RVqMb7V7ql +P892EwN3X3YhpgDcD5r25G16CtCfEjxz0wfvT8szxhlMFPid/IDR0ZuEoh4e +32vIQoH7ntIhzs9JaE/RmnfsPgoo/FucI3iS0D9xfyclfgpQ164yHHTH+58t +S48oi/+3OY5Uh9wjIX7pEBoOBQroDnCu6ziTkPmZuzXvlCjAzHZjewU/Dz/7 +qMozaFBA4/TOLT1HEnq//kkw+RQFrIqpb/NukVASZfb3wGUKdDonn35mRUKj +O50FHlcocP2eijxmiftVqJggdo0CuSemfmjj53W4xeMJZzs839HeujkT3B+d +uztY71JgdW8VD/15/LyqkErV8aXAL8W19hPaJNRerIEOBVAA8oMwMS0SUnp7 +dpwmmAJ0MyrTuzRIiDmdyN/wEp8fo19UjN8/RRG5kdpv8Hr9RlyapUlox1HK +R7OEAkGn7E9/OoDvt4PGIYFyCiheKHUy5COhL7Zn6zffUcD5uMaLDm68n62I +W1V1FJAYkCp9tw8/3wxyH6i1UeBS/mDVaQa8X8Wk7JQnKfBibNT19DIRMQtr +0PFMUUDk/V83R/x+vc9/Nnl1hgLrh/K9QvD7V5+DOFo6T4E97+rT300R0eJ2 +jqnCHwqwCMZdaR0iIq1vR/Vk2aYgVzrXo/M9EY2EHz18VGsK7JMelN4OJCLJ +MBPzLe0puMLe4TzpS0SuIU/9u3SmYHFj46XJcyJi9+/9fu/0FBBy5Dckn+B6 +7o+zqo2n4B/Dn/hwEhEV2bdJGhKmwCeQ1db0PBH5axCO3X09BdcDrl6o3ENE +/aqvrHVip8BikY3Li5mIf1/VhXDFT8FJtWGCLj0R1cpyLLxLmYLMH579FVsE +9Eu8Kp/m7RQ8Ith/tpkjoCv7dstENk0B34bUZH4LAclPZ8uVU6eAphDuXXAn +IK0123bz31NQqyCn3+BKQAaMwnbra1NwW207+vh9ArouGU3W3JqCZaWp/E0H +AgpzfL7dyDANTlmCP2zMCWhu9XLnZ/5p2DpSxXZJjoBSGVgdZk9NQwK/aObs +pAPiOnInSSB2GgIEZ2qMlB2QIa+p4H9vpkEG85xVknVA/gyasT2J02B/770Z +z1EHtD7F/MovfRq6ty3+fRJ0QOPJ6f7LhdOw1rPYvbrLAeXwj95papmGjWmR +XXd7byNgO6dFWp0Gzo8CipsOtxFpTfJrtdEM1F38N7U/5Ba6WHr0kdLmDDSc +MeHOaLJD++Zy3xinfIdFdZ+S1W830al8sZAc8x9wNcBq43j2dcRog41/2/kB +bH4VkRTeq0j7zet/p97NQhh583qbtyWiaw33Crr5E9zmvKznrU1Ryh3W4Pss +c3B+q1lBwuciqkh8ahPVMAf21BipAbszyLJeiRxOnIeD5qV8VwVOIuYnJ0n3 +7szDf5XRQ1x0J1GVkjEYO89DWMuzfyOzuog/9+4PLtd5UHPRJCdX6KKRqFxV +8vN52Nuv3bhlrItsiCLDCTHzEHtKIHcnTAfZ8ew5kNcyD/G8Gn23uRFyJk3F +fRRdgL20/+B1ngail9xDGyuxAAP376DP3hooZlrptqPkAkjcE2GWstJA9Vf9 +FblkFiCV8fE/w90aiO3i0c7r6gsgmzM7iwjqKF/p7r8towXQjCgMm5JVQz// +bV5TeLoAUrnBhaLDysijWqyFwWsBBCX3pQ2XKiP2R4bSX70XIJ5v/XXJS2Wk +Rk1Y9wxcgBVM6OmX08ookIIiul4tgJvAtcMfqpTQ4U/+HxxyFyAkOCfkWroi +uhnOKZE0tADTH/eWeEbJo7Lrnas63xbAVy5Jq89VHjHK+zdPjy6ACU3ZJ73L +8ii3d8NWirIAdV3eXQEH5dEKJ5ZavrAAZ0M4uD1z5ZB3dKFIJ+0inL3wQsQx +XBalxhkKbhxbhPuZdgOqytJolci48EZmEZ7pjhODaKWRvmZDjbb8ImwctnTh ++3wMzY0oWvuqLOL/4+Gps7ePIQUhgbh9OotwbNk57mqiFPqQ9JPvsPkiSF5u +K/TmPYqwdH8uE69F4C/Mi1ZUPIyumzi2yPgsglVPgp/qrsNoktb4MYv/Iiwy +zmZ69kmgSRuhicaQRdCK38M06oLz/rJcOfIi3P79abmxWhyNh2I6bAWLQGGw +2z5sIoZGXbSc20YWYY1xsZ5ULoKuiImKZYwvwhVb+c2KFyJotJdp0AtbhPP5 ++yR0b4mgEZk+TbUfi7DUUVDMt18EfZslMGWtLEKQUW2567+D6OsVcqLv7iUY +2xdg41MoiAZPrXSC6hKwlLXe0bu7H3EzEX7OqS+BxdlhmYeK+5Fx2wTDay18 +PJe4IOs6H/p8vkt7QWcJ1g/onXXw5kMt5tlFMYZLsJ3kHDjxhhdVONhE/bqx +BC7pH+ieYtxoVWqgKN5uCXpqJXbP53EjhcVzXadvL8H+EbsL1a7cqOCeOmOi +4xJQg5QuuO/lRplPuN3OPloC+5q/Qs+AC70ObbdOC12C/vb81hPlHKj/go7b +hZd4PvW5lTF+HIiTozJqI2IJljNDM4zMOVBYdEaXEXkJyHrN/D3r7Mg/0Qv+ +puD1vFWY5tBlR65FKmJm75Ygz7lciNy+F1n0p84xUpZAX9VcQWuYGbnFKMam +Ty/B9V0/U5nCmVHclebTuj+WgO0rC4eTATManZ5Jf7qwBAfMuvh31zChm2uS +11b/WwLf5CFkl8WInHgL+zDWZfhuLhvKHk+Pwr+BtyfbMpjpdp1SvUqPihN7 +5IQ4loG5vid98SA9Wj288sKSdxlY9u19wpi+Cz1RVTboFlmGp+4E3f4yOuRn +WVNbq7wMvozeJSeoNChT0JBkpbYMv5j7fjNV06DWydED6xr4+P69Gua+NIiF +sO2qiJahROb1tDs/DQp/rCOfe3YZtg41ShTEbkN83KcM8rVl2HhYlHYhcgve +21iaKt9chqMZrNklylswIfqTrs9uGRq9e1iZvm2CaB7LdTbiMkx8urH9RGIT +smvO8/u5LMNwT/+k/ad1KB3tC7sftAyab/d3byj/B3Se4SJnQpdBp+NGFje2 +BsaHzpcIv1wG7TPLGjIv1oBq3zLQGbUM8bEl/5nNroLMcqXgkeRlWP0b4KGb ++xuyaRNzRyqWQfWFrsl3q1/wJ81Kq6RqGVRGYseYeX6Bvj7f58BaPB/2222s +PVSYCQ7/pfxhGWx78zXzDKggyu2jFt61DBa6Su2qgUsQf9ih5dT0MljmzRrr +Ns/BfKu4pcAP/P2Fie5e4znQIGE/f/1chme7l8y/U37C10KrvUnLy8Aqq9P5 +kukn8KqfN93YXIbzilP1T2/+gFaJA78GmakwweumHGM9DVTXP+q6LFTICuhV +a6KZBr7WAe+3rFRYGha+rZ41BbeIkdy+bFSgeFuJb+DfGQyFrGry3FTg/fmb +YpuNga7a9rMQYSqEu4Y8qvMZhzNcGR7jIlT4GEAcqfs3BheXzj2RF6VCgNyP +e0mPx+BqeuzDIXEqnF797w3VdRTc2JUdxaSowKLqsa4U8A0KZkmXa5SowPrA +6WDexiCUN3FasKlQYUeozPHky0GoTawyvaFKBfWSMDvC4UFoM2W6yKRBBejf +uHb28gBMN6TqmwAVhO+Ikgd7+oA/9qvi/BkqWPikhVHoeuGQi5e89jl83ftF +7+8r7AFJoyOyEYZUqDn76uvTKz2gzPBQStWICkqeLfn8rt1w8R77IR9TKigv +Dm3/2dMFFobvDg6aUeHdcrXrA7dOsDliI3jUggo/smwI0t87gDSWx9d9mQrl +XUBUbm0H/zOn2QSuUaFq8ghtfUYrvBBfYnW6jtfzvXEeibZC1E7U7sYbVGAw +iG2sT/4EKeUU+tt2VKiNlvaITmuB2kPPtkoIVOiiiz7aXd8MvzbKZs+6UOFm +ZPGGimEjFCxxmnx8iOdzOuKaxtcGcJxyroNHVCBZ/id2zKEBZjulI5WeUOF+ +nziLPV89TCalax70osJ+bdnAqZ4aSIyiy4x5TgVO1WdnqEw1cCXoOjuXDxW0 +BozFLXSrYei+4AyTPxUsA25IbjRUwme9qLBfIVSoLCdTWafLIVRjZZ30ggoK +rB3ZdkrlcFb2ou33MCqs6TWl5weUQcv+PWojEVTgf5g7OqJSCnXzPlgzmQqF +OX/i/CuKID/igVJMGhWyD1ZYJNhnA9G/N5Ezgwpx0n/YZ62yQNJddveLTCqk ++1b1/jHNhDS7+bHnOVQY1pGY1rJIhzhV2wBSIRVkX2b2kl4lg6V046+ZIip4 +CZPTPlsnAe8h4SvXS6iA+WY3DsUmQCTLiJxZORWey5TPM8rHQdCY8TftGio4 +5dKUhHe8Av0vRaeqaqmwKhfs2WQQCfSf2AoV31PBOidHjKk7HLyK2n0kG6nA +Z/ehvn0xBLQzJJdSP1Bhi9/xrox8EPyN9bcUasbjXRkaZQ/wBzcf3eOcn6gg +MPvj1wjxOai4JZNDW/H1sP67S3LlKaw6btMytVPhP00j+z6lx3DXvHpwq5MK +tLOX011lnEH63H4d1894P3BNfkztvA1z4JpH7cb1I1LFyvdfg2ylfh5SLxXk +ujrmQl0uwK2jCl4zX/Dx9ykOj3bf0f4fpFA+OA== + "]]}, + Annotation[#, "Charting`Private`Tag$86998#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.0514884216945115`}, {0., 220.80029109334075`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237674457458*^9, 3.714238002214877*^9, + 3.714238548204287*^9, 3.7142395741313543`*^9, 3.714310570543141*^9, + 3.714310623124496*^9, 3.714311017345689*^9, 3.7148082455844183`*^9, + 3.7148087394536057`*^9, 3.714808790219943*^9, 3.714809137463914*^9, { + 3.714830783818783*^9, 3.71483083339424*^9}, 3.7148308849707937`*^9, { + 3.714833119603292*^9, 3.714833137091063*^9}, {3.714833216896283*^9, + 3.71483323718008*^9}, 3.71483517815341*^9, {3.7148353817008543`*^9, + 3.7148354101922207`*^9}, {3.7148354850314198`*^9, + 3.7148354991762247`*^9}, {3.71483605782858*^9, 3.714836072392943*^9}, + 3.714836335978918*^9, 3.71483652907364*^9, {3.714837246343439*^9, + 3.714837252902101*^9}, 3.714837310164729*^9, 3.714837545315074*^9, { + 3.714837730776862*^9, 3.714837765174131*^9}, 3.714837988177272*^9, + 3.714839534940205*^9, 3.714839592912971*^9, 3.714839636267261*^9, + 3.714840035800082*^9, 3.714840758409679*^9, {3.7149932799586763`*^9, + 3.7149932935863247`*^9}, 3.715381868105653*^9, 3.715381929995557*^9, { + 3.7153820419103518`*^9, 3.7153820497622433`*^9}, 3.715410873606743*^9, { + 3.7154672058163548`*^9, 3.71546721787073*^9}, {3.715469767075697*^9, + 3.715469778490728*^9}, 3.7154705067466803`*^9, 3.715472918837619*^9, + 3.7154731169469957`*^9, 3.715712763361232*^9, 3.715719330445887*^9, { + 3.715720946449518*^9, 3.715720960671371*^9}, + 3.7157667980105886`*^9},ExpressionUUID->"eb16aa56-8279-4a95-bf51-\ +af867f25621c"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "-", ".1"}], "/.", "sol3"}], + ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "+", ".1"}], "/.", "sol3"}]}], + "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714238448421826*^9, 3.714238450287497*^9}, { + 3.714239460624751*^9, 3.714239461804504*^9}, 3.7143093152144613`*^9, + 3.714309354244766*^9, {3.714993302034452*^9, 3.7149933093567123`*^9}, { + 3.714993362593301*^9, 3.714993363190507*^9}, {3.715472927584445*^9, + 3.715472943882141*^9}, {3.7157209679268417`*^9, + 3.715720991732383*^9}},ExpressionUUID->"0b11131a-311e-44d4-9df6-\ +6d33baaffe0f"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwVU3s01HkcnSSvjeT9Skkx2yoybETNZJed6MVGhcXQFkJChfLqSHpgdo22 +RZJTk7PlsevRaq0rJDupLUVttR2Ps5Kl9f3xmxkz88vqj3vun/fez+dem8jD +Ad+qsVisXfP4yN9UThlkxVEwKhVsCZubgXPmnqTSGAqLS/J5Blo0NELbnjQd +oFBv68fSXEqj1vSCcCKCQt8Z34zbtjQ+FNrrBQdSSI1dPBK0jUZfXGH80QAK +F+WDHM4eGmJfule4k0Ltu9rQ4EgaOzQ6z9/fSuGRkaKlMI1GRUaYtutmCv90 +ofr2TRpJIfeid3lQkG7P+s6ghYaPu0PPITcKvEKeWlc3jfczs3lVzhSuOTY/ +dBqhwY0rUde3p2Bxx+pK+AopjHxVUZ+touA2lOZQ7iTFmH1Up48Nhey51kzP +LVIIR5xOZVhSuDtalFIXJcVgcO/c+BIKj5exCoQ1UjS6ccI1dCmI0mRqy+5K +kW9S2majQ2FMs0Nk2S+FU9/BjL3qFHq3De489kGK7K0LlffkBF4dxrHPgmTY +bR8bPEQTmIvtFLYJMrAXPWlRUQQreytap0/L8Li9IpUzSRCaXLbR4rYMNm4b +pZVDBH7kePvN5XJIja8Gtr4hGG8Xd6/2kEMyrdn0/BWBYrdV1po9ciTV9Sfr +DRA0S7xfDAjl6LA7Qk5ICN6ITy7o1JlFpHH1RFADQZNTBt/aTIG8hqE5Tj2B +U/RlL3WuAj/5WxourSHYMTJuEXNAAaqg0P2BmMDkediK/GYFTmkczeOWEiRI +WrKvByshvlb7o9UP836wRNMoVwmJ19it2WKC7hCjuowaJQyyQp42FBCsizi/ +6cGcElWyLSvYOQSPmP9oowoVuktOcBZlEvj6u5u6dqowzmnyGU4nEIsen3s9 +qoJe3/t9OE6Qm0C1/a7FwDmRHV+eQtBW8L1jDptBkF5kdtoRglF1R3aXN4P0 +W2XFQQkEAclPQ00jGFT49os5hwgmeGqBzDEGHWN6d/SjCWLXXKwaO8tgNI// +cHI/wYxU9bf7JQY6q08NSgQEeoLDEZuuMljX+dv0jTACftuiRvY1BgECWuN0 +CEGYVWe9aSWDY3PrLCL3zueNnfbUFjEovRy9lhtIcFIgEr/KZNDmUcWzCiAQ +eX9ynh/OYOSvV1/P7iDIzPL2GuQw0Eo1PjjgR6B/rr1DXamCg8nO9AY+gVzX +mh75RYVdjfkFQm+C9zxe4pF9KqQEdFTGexFI0lhl4RNKXJpSNvhyCVLs1m8w +i1GitdD1vr0nQfny4ajGXgUGHQ6/VHf/eI9glxlDBdQfVE8OuRI8SbLU/9xj +FuyYYRacCV4aFq1P2CzHNk0ro3JHAgv+TI+1uQyJ1wPt0xzm9TefKPCf35fo +i6KNQZ8S7Fvs9baYN4Nfh3q2c+wIChu69styKLzOUhPo2xJotnT+a5Y7BZa1 +Z8rkcoI/ZOYb9mdPYFXr0TMSq/n+tZqlJ4e9BT+4rvSGOUGX/xU1F9EQ4uRj +NbkmBOlz9T6m7AEIL668KzAk2MucdSwrakOjS+izzfrz/7TGmPtEO/dFX8lb +S12CO/3FuqK1L7mqxD8Vcm2CpzmCHqp1lPtljZdNw0ICO22diRYdKTfa76SL +kEUw3OUMrWYl98K7pq/imSncsNDmS35m8TzrNp2tVk0hx8Ul1Tl0Ae9/g3DZ +Lg== + "]], LineBox[CompressedData[" +1:eJw1mnk4Vd/XwCmJNEcJRRKSKYUSLaTyLUkiUwOZKUlliIRKGTMPXXPmoQyZ +h22e5ykkUTLee+5BhIrffv94/7nn+Txnn7XXWnuv6XnuobsPNE03MDAw8OGf +/3sa25d9XxgjkfvJk45SNxkVNRc/h3RjZoqpqJMCRsUru22/jo+QyE2KSkpL +r4GqBIvg7y8kWhaYqGpj+QPKanE2rIMkkqzjBIv4ZZC3PFXI3U+iG9v1VpYy +l0DGs3NdrIdEIbfaTY4zL4LkewtVxU4S6X89dW0lYgFEKhkCNdtINBOcoeii +Ow8CXyMGTZpJ5CigwP79zBzwrkryOzSQKFFgalulPAlc+5qsvGpJ9Ch+yuJl +JgHsJ43yKFUk0lsUGNBlpcH2ayt/sipIpJTEyMPhPQssNoEqlaUk4q27evn3 +0RnY4HPUr7uIRCcoDL7cP6fgb0pV33g+iXrkpBZViyZhqVbv4O9cEr3f6eLe +GjcBc2NzZqzZJArcvDP6VtRPoK55feTOIlHKKRlb1rRxmODmXxZLJ9GYZeg/ +/rofMKSt6aWZSKJX31/sYRT8Dr12M10m8SQqFSWPmlmMQftbDy6HGBIFD+7a +ey9/FGqacjMoESQSqRFq//N5BComLv3KCiVRUZz8oEjqVyja+EO+MohEO/tS +n5W/HoZMhT3t477Yf+xbhstshyBZP2Pvby8SrXoe+qfsOAhxDufusL4m0Yf8 +hhN6PgMQmvOIFHPH58WSWXWpqx8C2tlOK7qSqHH69bOBDf3gPfveXdOZRFpi +Ikk6Cn3geqR3t8MTEo0ct9nA09IDjsr3DLzsSLTd6ljuowM9YHeHKZHygESK +d49UfrPvBvPIk9KVliTynPu8316hCzS2heqw3ibRQEtcPs+hdrgkIhbHbYDP +/8I9rVcCbaBysW5KTJdEtpuL5dSOt8Jp90UnTU28/v5cBJg2w8kYv2qTqyRS +OZwmneDTBOKlR9gc1EhEClbptRc3Av+idhTlAr4PGudTxEUbgGc3MZ51jkS1 +t3yqah/Uw14JT7FKRRJFBQy/nSyugy2WBRXjciSiPulIrjOshYXhvWNiEti/ +nmrzF+erIMzfa0RdFN/3w3Pel82qQE7x75cHR0nU2n5fYmKkEjzej/XnHCZR +wIfM6sclCAS1tXq7+Uik21ftcLmuApqYG7oWDpDI0PcA476BcthpldkqzUmi +qap6oafsZfCJm7f5BgeJVDPULwYolIJuW2CDw25sb4XgRPj9EoiVdKgu3kqi +TvGh+bCxIhD/rVSkwIjZpvVuxJ4CSLxmaV3+l45OrQoZWdvkw+wndbP1JTpi +uqMYEtf+CZ4677/5YpaOtI7NlfjH5EHVyNqNup909In9ksLqtjxgUR6/tnmU +jqieodOiHrkQzvLxok8vHfFIZtXfdMyBEesQ5bZ2OvKtYUb7VrNBsMNJYUcT +HamktmhwuGXDp1CVE8HldPQmc7C+SvIjdPMPHaQk05Hig9A1IyIDuDzR/q9x +WL9rB258k8gAo+lEdl4KHek28F445ZgO5McHW96/pSMWXp+CJp40kN2jvemn +Fx2pXlgxyHRMBVd7OQahl/h7eY+aiqEU2KawaSndkY5GuZBWf3YyaMXNkFQ7 +OppqWDQLEEiGqI2ds+L3sfwl6tyP6CQQaX43lmtER44fN/O0xyWCnZjb8C8D +rJ9xKOIXSYTiANPPMjfw99u5OnyL3oOqjmRbySVsz8MfQsLjCRBQwtH4VwXr +w2oiw+ueAJ8P/Kk+C3RU2etytJA/AczG64qqT9ARg2tA7O1H8ZB1MSOPSRzr +d0HRW44/Hn6lB3y4IExHy6OHuDT64uDFQ4PEZh7MxsDQdDEOmnsVY7fuo6Ps +LzN2a8xxsPuU4Dv1XXRk+MHf5nBILOhR2EID2OhIksPu+9ChWIhbI992b8Ly +fW8VrxTEwJRRvzc7Ax0FFCUF6FyPAYm60lc3VgmkqDDD17YUDfbC8W4Rvwhk +qHHj5Mn4aKjw8XQeIgg0GqYaba4ZDUkPdo3EThGIQdFp6yOmaPC9HqVo+h2v +z9n7TbAiCh7LCr0XGSbQTgFRB53nUWDAnbuJ7COQ24/9j4cuRoHyurxFfgeB ++DRVUjz3RYHIj4bmp00EqhQA1pMEBXY1aIop1hBIMszmY2kLBZbTv77dVI7l +l3NW//5IgVF/i/nmAgLFOY/Z1byjQIPdglZANubWjIVVHwp8uOFaqJ2O9/f+ +ct/5BQXC5Fi5uBMxb1xY4XenwLODIS6j0djeX6/DO19SwGQD77ekcKxfk88R +E38KqE2kKVkHYn0kfuhXRFPgRPPJREkfAnUq/YcqcynA9QExL73E+nQ8TbzS +RoENQZcsS10JZGuazKtKo8D0k74WN0ds39yBjSG7o6BTz1D8gh321/qFAQ6F +KChSmA1gu4e/r60fzL0XBbGH7Bc6TbE+ZydpGvFR4LmJ8UbYHQIFDEnF9w9F +gc20T5GBHn6vrHLo2P5o0G7by33oOoE0lhpkZW5Gg3xO/LMJNXw+/lnnR99H +A5tTofJDRfx+cGdivmIMzN9UTpKRw/o1zrh/Co2BIcW2zX9P4Pe6DyxXiBhI +ZfnR6imE3/PV8274EAtvqfcl1A4RiDxsUtfOGgf2ncuBu7ix/8zPc4afjYPz +Edt1orYTaFl/pXAuKw6+C8mN5SzSkIWh+YeuhHhoZqs750CnoTdMje5PxuMh +h341WX6ahrIdQ/3ahBLArdDUumGYhjiP1xQ/zUuAAxcDF4draCg1yqhl8et7 +YDrGo5tQTkONY+XuZqKJQN2eUmJeSEOdBXu9NVwSoaS/7Pl8Og0phuRssOdL +Al2zKVaWIBria5fV0HJKhqBXcPCEIQ1FJMy7SVukgaD569m7+pivn1csrU2D +EtWOoiAtGhJgV504zZ8OY2x3rs+rYv2MeVR2j6aDZJDrm5zjNCT50T2/ziwT +2mLK5yU20lDvS3sqX/RHYCk60yCaTEWrs3Hlvy7ngeuMrK0gdRaFpctIax8s +hVy1I0mDP2cR866DGdvNSuHnh91Dvt9m0dnjDvS1rFJQe0Q7t9A9i0bENNXc +zpYB99+EfZXFs2jcvG6eZlQORdu2I73Xs2iYQUe7LAfBvOT4Nj/+WbTbhfvB +H9lqMHMIyFjQnUElEbqtL/kbYLPeCS3utinUmrG3IdyvE6qSODK/GkwiOueG +BpDpA3suXZpTy0901tqRvMc/BCqrg1+ztceRru3E0m6vEWgRTz6jPPkdXTkm +dWGDxhio+3R7ZOmNoS3376Z3G/+A7iSXebO2b0hMcPn8O4mfwPCKPVcwbRiJ +W5u9Ob88AfHblNQowYPIikUj5ZfvFNjdo6qcz+tHMxmaR5xHpuEMt+7O9yE9 +iEnNS12NbxbU69Zv/nvTgyrMTJuTBGbh7oOUNJ1nPYikd5T+FZ4F75ol5a1m +PchPamIt4fgsDFmHPnki24MYd8pu7FKehadl3UMXh7qRf1ItLddkFopuXUmi +8najif37KX7JsyAdpywnk9GJ0rRHj0fyU+HNZekb4TGdyMzBhxIjSIXhJSG7 +5cBOVDmRsSFehAovr2xLL3HsREEGE41RUlToWf28Hy50oogDLlK2ylT4kT40 +/7a6A1nyGZt4GlHhJofkwzzxdvS6bfXdg2gqMN3jSHvC0Y6mPi2/YI+nQkb1 +6qjs3zYkLmhnXpBIhdUHdRplTW2ofur5gbkMKkQ060vWmbShtU/J55RLqND7 +/BW9/10rYv7jYHq9nwpXZoburzK3oGPXzz2Q3EoDxYkQNSmiGXV9EbxiuoMG +J7+rH7Pqa0a95/+cDd9NA66h6qnB981oaFri9jwnDSaa0o2LFZuRS/DXN6+O +0MAt7ame49MmlB0r78Z7lga5Flznl2gN6N9LjheH7tMgyaT3sHhfA2I6Zl6x +/IAGEYb+G8zKGpBxeRRbmx0NXHU3VPZ5N6Bgf4cv9xxpcFl1Ri5fqAHNJl++ +6vWCBuNCJZKPjerRVFnWU+lIGuyb1OOZ761F3xdNXPWraVA2uDm5p7wWfXDn +eJRWSwPD1nyJ/ORaNK72cHCxngbpObvOOTrWIrYcxj+eLTSQd2myXOOuRT+O +WQV499Lg7q7ThVuMa1C8WsafvRM0yDzDqXl4rgopCF8IVNlMwDXx+i9MQ1Uo +Zqd/qhIrAUt8j00nqqvQl6rrkvJsBABzp2NaSBX6c1km8OgOAro7X8dKnKpC +ZjbW4T/3EvDb9Df1zPNKZO5p8OH7EQJe8mXtSOOqQH3POTtIJQLatkgbvp4q +R5vsTBE6R8DexbJs04JyZOW8luFznoCUptZr/JrlCJTmnLj+I6DZjhpM8SpD +E/Ljk3s0CNhVd4zTf7kEidn4MNnfIkD/Y57FvfoSdJMhMJ/9DgEJkWeKL4WU +oLQRg7vZhgSctLmsv1myBCWz8n8cMSZAd591lJt5MbIzD2ffZ0VAjGU636P+ +QqR9M5Tl9xMCJq9LPbyWWIha+I3sTB0IkDxbUiVhV4h+xDl/7nQkoGp3813q +tkJkfck9OMaZgPHS6UTT8wVoi83ubg53Ao5tP3pU99MnlLEWbvzIh4Ci3JTj +CkE5yEemNGsmmgAT730DNsY5aMW+OmUihoCdd1+7xp3EvD9g/VssARa7zFs2 +fs5G+UY2jc3xBOyzFTRt5s5G76waK9ySCKDqXzr+8VIWauJ6L2eD5yuVLSKu +u2mZSMHz3A7FLAKiillbnrzNRLHDNko7PhBwmbPJRL43A/1Y1K1I+khAet/F +iKZb6cj+Hy9XXi4B5hrn13/YpiCP9fobV4sIqFgXULu4JwXZqUZv+I1570em +yPT8ZBQg3c4WVUxA/bZaqYerSeiwjbTMSAkBR1qUzdZeJKKwr10zyuUEuDzl +zzMSTES5z6Xd+zD3Ht3AUNf4Hnk0fHtsWoHvw5uqSJ9t75H7/vVHzxABP84r +tnGGx6PccZEuvyoC5BZ5uVxOxyP9V6+usVUTEJS4bvbtSxzy9uaQ8MSsvBEx +JPPFof/m2hgf12B2d7Yw04pGpoPWmyTrCJj/JrdBLDIKsf+RfxCBOf7sKmXh +KwUVr5yUWcPM8Nexw838HXLlDP5SVU9Aub29DOVpOFLd9PXF0UZ839aHmHfU +hKGClzfknDH3v4HPHmxhiPmgiEUzZuIdi6NVVAiybRs6atREwOrh+6oj48Fo +T0h+eSpm5qwuTk2xYBTb97ORhpkXvSs+XRGIlCOUz9s2EyCquu6VxRyI4vff +L8jCfKrLWP/Q1QD0au90zBTmuHq9pV2VfmiF7Oq70YLvzwB/+IqGL3p5UEHA +G3PnzKzs2Jg3ema+NF2CmXGHq1P2xjfooJ7GF/ZWArgOXeSKCPFEWvF05rOY +pU7sLH1+5BXaoTKUZoL50vlBA/OCF2g+bUftG8zGOgl/1S96IL/zb7XTMbtY +WkfLDLghw2Dd202YhX9buMh3u6LP+61HfmLW5f5TzvbLGV2zrO9bx+wFfutD +HE5oH4+Vyr42AkqMeZXSZe2RWb+2iCjm2dc5Hk56j5DRBa/XZzHzZJ6rVXW2 +RQcFmG6qY46My2CTlLNGMcfrUwww/5nq8G9/Zoo65DqszDAX3506PORxB/ly +8CbZYHZZkBTZt0ULRcfn33iM2Y1lwTCVXwkVNAY9d8A8rkP/z/6MENi7FvA6 +Yrb7NPPKuFINrCv5ZO0x2zdllv0a0IOdYV11DzHr8Uh9+ZJ6Fxp2NrVYYV7u +2aarYGoBPy9v/s8Ic5jPdG/MIRtIveeroI35Xfx3YQb6QziToJt2AbPlM41J +ybbHUHjknq805lN6FUlGGQ5wSK5h4hBmFmlRkyCvp2AtalXEhvnzznf8NebP +4Ml1bcYF7L/rSy/IFX432L7Tq+ozZrnxkqu7g9xhrnXTSjFm/u65DyKML6Bx +rSUlEvNc1p37Bt9eQVKdjPU1zAOUsNZH6q8h88nw86OYK73ajvmWv4HUzja2 +dXw/AkzPzJRRfKBXJMwrAbPjdbv/+rb4gXeIjbMt5jtKaak0J38A19DxM5jD +/X1O7MgMgMPs3Twt+D56bxIyphgHgs3T6Vl/zK4u1UFC3EGw1KsppYHZzGpl +DryDwVWV90gLvu/SF8yzbS3CgP6iLCEBx4tImubsW4lwqLUYkLuMmW/rWcGP +S+FQnPn2M9lAwNZu9ijay0hgnOg/eALz+K3q11a4b7c6vjIejON1qDKr2ssi +Ggaq+BIEMHcejvyXKhEDcUrzxrm1BJROP3g0WR4LS7cpi7U4HzSV+EtI3Y+H +1P/OXavH+UTlHlNbVWc8RIn+PgGYKw48tbp2MgGkWcy58ysJ+ORmmmT7JwF6 +C14uh+N8FHdBnvujVyLw32Gknsb5y7F7mlk0OQUUFJ1KiEICFl7cSSxlTYX3 +irIzsphtpPuULt9PhZ9N3w66FuD8HlHpYnUyDVo3r4Ux5hOgcTt8PrU6HZgV +u6rHcwgQmlEZOfItC24V7NrKk4HrFaXEOV/5A3DGi/pKp+P4uCK5/3zyB2Bt +stmllkbA7mxuLZP7H4Gcczpmm0LAutyKSdezbBAuEowJeY/ji6FzaMfWXDBh ++e6uTiHgAjXh+ku5XNj13HPj5XfYns9PWpctcvFzH00lkgCtD9wVY3W5sJNl +97JkOPaHgXl83vM86G4apk0H4XxbsGaus/AJJpLybn7zwvUmvmu05VA+eI7J +3Ml9Q8BFv0Q9RY18oDrSmzxeE/DX+NLlo1n5cMuEfYD7FQGmu8LE/5gVwIMr +xZ/F3XA83BNbjBkqBPRr0WIA19cgHQabPaxFsPTw5Jz7YwJoyj0Tr2WL4MOh +v2PCj7A/9jsN2IYUQVGCwj8bW3w/GmpLldWLQdjtKPcwrtffDt30mKgqgaCh +tpXTuN57fvbeIZ5WDo3/GG2YLhAwVn788usv5eCGHNRlVQiQTxzwHN1WAcUW +rwTMlXF9sBVcC7KrgHsdvjnlZwm4taWa+vsMAmZ5dY0Lsji+Y/6OG5pXwm3v +idQ6IZw/uk5Ui6xWQRC3/tZnzNifKpsNdfZUw9MDubnqTLifKRz690K0GpaU +Jq4e2IDzZYz76a+3q8FdZOeDnH80GLHqyH5bUw0hWzKU8n/R4BKTdewv3xpY +ij+rfOw7DQ7JJrhU8NbB/fwW5q4SGmzYFP/oyak6eH9wKvpKEe4Hu2OtRK/V +gfGjZ/815NMg1SZa951HHXwuvzCSk00DyeSIk/Y/66ByY826cTINgOMtVSyj +HnLq9ovLB9Lg1oLzzWiZRqBmEZFlJjSI/Kgt73KlBThOa/5j2EiDZk/DN14m +LZARyrrrzzrur29Z94Y5t8ByVl30/F8q6G91v5eT1gLsI578Q0tU4LHMjJrY +1Aopca1D3jNUiOHf+E+johV8nd7tedRFhcTQ7PIjEu1QGBm85w7u5wfKX8Wa +v+mE7oOsi6liVJAUVrSfDOkE3qr7OblH8TwRtKpmHt8JW8fmnIqPUOG0+YNV +s5JO4Nctk6g4QIV3O/W0zaidIEDnOp64jQq3jEXZTDW6IOKSZfx36ix8Z+mx +v8vZDfbmbPNH02aBep1P/VZqD/T3Ib8pzlno2CMfcyC4HwRu6LNrU6cBRGr2 +HH0wCMFDx6lBMVNQRHoVuHkNg04VBbRZJ4FhrGs1weYbLHSpbsoz/wmplaIF +LP+NQY7PXaNTTj9wns+BI5XfwYXrwtOtnmOwTWbWYFJiHHy1zoZ1/B4B84N1 +/h0VP0FlkPe0439DkEa5s/vAiUlY6lkQflHUB3QyMjOgfgrusIbSehI6wXnO +azBNcwYa7viH2l9qgM48t54HujNg63lwpelIAwjaO7RJ357Bur1xFGBsgO5V +k6oqyxm43cNhQi+sBxEmxbRBtxkIYuyTGTtSDwN7lxxZP86AVfnzAN2NdSAt +f5fTkm0WFtcd37TXVQPdU05HuHYWxBP/iR2fLoPERp9pq2Y8B9bqzHbHlYH+ +lq/OWZ2zYF9eu5asWwb1fs/jpL7OgsqppNfTjaUQE1I7Lb80C+P/GTuSGSVw +JUHd5ZowPufNPpt7XYogo/xu/FNffG6bsnlPXPsEhut5J8qDqJB9desXll2f +YK/Spvr1CCokWPa7nOjKA4/alJmXSVSwePbfDj/NPNBvoZ54W0GF5Nal7U/1 +coF10L7+PUkF1Vh2hzCnbDD/5T3bqoXnmisR5/0OpoPtKd49Sfo0iHuixhpZ +mQZPXfLknhniuDG0840zTgM/pmEvsXt4fYq1cF5mKuSxiwn74zmLZeWP7a3L +KVCmW3XVzIsG1AVty/LFZKiP0nY4+5YGFr5fxs7EJ8OggGs98Q7H3XK2Rsqf +JFg/2WFyNRfPgRd+XquuSAQWJ2NfIRyncXapw7F2ibC7/HfeejkNptT2m9QK +JcKR83wbs5vwftXZUcuh7+Gy9sP4nWOY65xefvRIAK3ITU1TeA6TXMjbbKaU +ALe/RpKVVDw3NqevBTEmwEPTani4TIM3MwqWVp7xEP5kz0gXnrs46x6utCXE +QVxxyqZ0DtwHKAz8WbwfB+n/zoh5cBPQGPvLqVUuDspfmbhI4TxG3tBuuJgX +C/VNy++3iBFg+8/isaVOLHRu82v5LoXnELuIJqH1GPgRms8VjPMi6SPKXqEX +A9TB/5StcR7VmJzqLtoaA0sHRizPXcJ9Ru/e7tCaaGC4axfIjecyvogMR3PX +aGBNZi5e0MZ1mvXWO0WFaNg98260xQDPUZldT08yRAOPuARLohFeP0jrvNEQ +BYJ2NRIu5li+OjSXBkWBRIGOjtZ9AhRvvNnueDcKTq3OuoriupBNWNfEyUSB +8lm3ZCYnrL+OfMDlHVGg5sHePuyK93OjxftTcQzXpy5+eontWRD96NZOgdtb +FA74eeP1jXF/T+VTwEK9S8U0APeNz64adcRRwC7I9J5CGAGGRlKXbwZSwLl/ +JZgjCn8f8Ktm2ZMCL7n8S2l4DtNwGH1S4U4B/9v8P+pwHTbctJbdgDkioWBL +DJ67ND4Z20q8pkD8xCUp+zy8X1vZnV1BFEgX+aanjuemON3NY14JFPhk88hd +EPcZDNd9dxcUUaAid3PaGu5jFEfZ+/J6KdCwROnsx32Vhsmd7vglCrjucvYP +7MTrJ0w4Gw5EwUlRfTW1fmyvMoVz5FIUzF44vWXzMJZPBO9gdo2CBCPOxqox +7O/8yG13CqNA1+X3K5dJbG9Uzz/W31GwI7z/nCwN+3MsN0sYn099Tj7j/Dw+ +z+qPvV+9osGlNQRlLmP7f+ryXPkaDVKTj56Zr+Hzci8WpsjGwDTj9TP8THQw +DOSKp0XgPoxHamWYlQ6KiYdPWzPGwg3ZXYXhO+jAwG9YcuZhLGzVJB9rctCB +5Bff/mYqFmrudUht46aD7eHtAuUn4kAywe+DhyAdAo45WjyviIOJsnv3FETp +IEkOVyyyxkP058siy8fpMMqvahepFw9btm1Jvq+A138539G8KQGqhKaNhc9h +fUoYwOduAjgqNx76oUqHyicvkkdqEuCng2e0rhYd+I7mxGaGvIeoIFODPfp0 +eMPlbG/IlAiaWSr72+/QodMwfXS/UyJUft8Qes6aDqoVzYe57JLg3ZXnvuIe +WB7ri5b5pBTQsLh9afo1HVgeat16oJQKm18osCT60UH44GEq849UeFz058X+ +SDro2niECp9Oh2M9Q0q9MXSI+NWzyEykw3da8bp/Ih00Xh9YS03LgKuHHZ2Z +svH+OVFKc9JZwHxW5zTKx/KYrGGZ+QPOTzK/nUoxZ18PfPntA4j4/7Kj1+P1 +IKXJqJUNTCu2VkNf6bjeZEXaqOdCyR4N4dAfdAgZXU48MpALD8UlJq5OY33f +XKUHmOXBiDHNqO4X1oeP4Ql70CcIdW3ldVvF8pSTbB0l8nHe7bM5wEBC4vU+ +TeHufLg5+Ul0YBMJuudoWzmEC6HocaJPPgsJNycYGTO+FMKeDSEzQWwknOzf +cAFCi6CZ51HqlV0kcF4ZHRPhLgFZzeMCNTwkBAhJb2JxLAdlXvWOEV4Sdrbu +H818UgHqVKunq/wkLPfuVfJyQWDimdh5/CgJAyspKLOnEmyvVzlfESUh5HgK +J6tZFTjzjQhaSpDwS8LdqP4f7stK9j2Lk8by9ZNyL56tgejXJ4XLTpHg9lm1 +59VkDaRqXev5fIaETvHMt/vDawER3kd3KGN5nYJKd7bUA5V/re+ZOgmV/3qC +JC81wTKdyz3yGtY/k+9jp3gzbCyXFc3Xwvr+kgt7wdMCXDoPPaj6JAgzHOhb +Ym+DIwL+Yiy3SVC8ddWogK8dJOfSBw4bkcD3ajHljWwHXPQZFzcwJ0HF6+gh +i9pO0NRlHLK3IoGHs1VL7W4X3D5y8FXQfRL+lv4S2b65Gx4jnS9Nj0iYsd/f +1mrWA26+jz1/2pNwl50elM3fCz56gccZn5IwrxI7pjTZCwkLza9PuZFAFX97 +Ote3Hz5UTkppvcD6r+lH99l8hmI/ppEHniT4yt0Lk7o5AJ1CZ0+m+JLgH7xU +99VgCL780v9W/ZaEIl/vbibbLzBR5eA9EkRCXLPomQPBw/DPIGeUI5KEoZk7 +clvZvgHL0Xaf41EkGAie79I/PgrsSzMyV2JJ4M3r3+k+OQq8NZu/WySQcDTL +WWg2dQxEAgT8XiaRIMtwj5ph/x1kbimdikslAZH3i/9e+wFKIrd/lGaQcP8y +tV1Ffhx0a8NPL+Rg+QYe/zmoTIBx4Kfx7fkkmOaFsdibTYLN7a63IkUkgKqH +TGHsFDw9RshdKCWBjddBTHNhGl4tb5kwqiDh38/8tHWTWQioEwp8VkXCkcAl +muoKFce/inxkLQmHPU2/NuH5LOWO0eSnBhK6m+WEGzVIyBV1DepsJoHF3O9Y +3905qFh5p0BtIyHI12CYMXwemuoLpzZ3kXB7eO6w5eIC9Ab3Bh/uJeGx+dMu +P69FGDWcOwufsTzzSN0hk98wK7Z9Rn8Iy8v/HlKcuAJLqyKh9l9JuGQnRbN8 +8xc2NF5UDBolYZTrlY7oOQbFhm2HksbHSPj//3v8D6B64to= + "]], + LineBox[CompressedData[" +1:eJwVVHsw1XkUv7uDCGU9ukrZ8oq0eSYix6PHJdq8p6S40q628a6sPCpW5ZUs +xlZ3x5JWXnkVFZ2UtdzuKlIxVDtIXhvfH/e67v392NsfZ86cmXNmPufz+Zyz +iRvpHfY1i8UKkMWX3NH8OaucnoUL1tbxlke+cpry1VrdycxCHlvpQVIwy2lj +6au0GhaB2R96c4eSpZAJB6POKRCwKVqrWWpC4En2qrEQJQKVFqEJnNJxEA0K +AjkqBCJKnl5oW/8BTLdk9mxbTUCs3FBTkSuA4Hi3fVrqBILnd/UY1eZhQceK +VqkmAf/o15vCkruRr9lhOcwmUKtsEOO+PIjL3LTyznUE1O1eUJqPR9C6zkX3 +7gYC+1LH16p8HMfwZVZ+wUYCX0urq9JT/sPfPVEpUZ/ASutWp2DBLPbdSErh +GhHonpvR+MSjUGnSXsiR4f6xyXC4ym4eHW0lJ822Eih3pkZabgkxLr35Xy0z +AhN3khnBiAjv9J3xpy0IbErll9lKF/C93nbBsDUBBa9sY9aMGDWi55y7dsj2 +OfCGz3+6iBysa7q7k8ApVaZ98mcJJqlGfVe4i0C704A3ly3F+sBtpYlOBGx1 +8nwneFL8dGdaO9SVQE6DosHcahrXiyty3PYSuKzMCmmMpNFrb7icuZtsfhdm +GiON6fmbE9Z4EHCf3+PHZjH4aPjjDH2AgG6vuHCtNYOz5rfCRrwIDMlvmeId +YdAohTvY5UtgDY8enU5gMPCfjV61AQSiqlIntuYymKvzoaPwMAEVxqgmjMdg +RzjPISmIgG/hHyGppQxKmwLrQ4O/8Mv75ZCsNldYZ+weSiCuwjalTNYf5tvP +Mz9BoNClZlTtVwavlxRqsMNl+8dzcqzSGHwx63uF+Ummb5tnVEE0g3KgsTwS +QaAlLsC1NpBBu+yeOH60TF+NlSziwmDE4NXJ2jgCJ43aLB9sZrD/rMqbpAQC +/KleFespGlU7+PuPJxEYHfd5ksCn0UXzSpv7eQLNJqHdMeU0VtfKV7PTZfzN +6DccDKFxeOmZ3tJlArS6i0mBA43anheLRjMJ6Fn0HXNj03hxYim17hqBeKvO +qMznUvTXEx/ezyOQVTEWfs5Sigfk+k0uFxPYNk3HLKyQ4t6xJnF7KQGHrdZl +995J0KbibKFjBYGL1SbeThkSZFsu9Fg0EbAzk7dRnFhENc23xREPCWiZdmbo +y/yhKLofWdlK4GhUN+fdjUUUPzijathOYIqXe9XRaxH7nUUc7R4CBhJPnZXt +Ynyp/4bt10fg9s3GSzElYuyUvz927S2BXofBgYwLYmzuOp2m/J6Ad1Rbdpez +GH/zEuLSpAyfWs0FLn8B86xe59h/JrCU3RRkXrOAGVr3guIJASfB1HRp3gIm +DMRJyYLMz7Wb82ODFvBwyLzNRzkKLPGTVZxEhN6uffJ6ihSk+Uw+M5Pdg7th +Y99RZQpa//ZVTxaIcOdEbEz/NxRE6jW2dBaLUCd6rvq5LgWdra4qL74XoabP +q0RFPQrcV81FDziIUGV7w/49hhRkPZGEcbeIkBbHTDw2pSCwZ9Z+TEGEQ+cp +g3pbCqo4Hjti/xJiH7d37rM9Bd20V7zZfSEKdtc/NQUKwlMSKwP+FGKLYkxw +2R4KbnWNeIxkCLFx0stsmEOBqLcy3SVJiFUCiyVdDwoSSrrd5KOEeDOX3Cjy +psD7oXlstb8Q82N6Tr72o2DeJ0SU4y7ELN86O/VDFBSFNTkIHIWYqB39NvMY +BXIdfo+8jWX/QXLwdieXgt2X8oKLNgjx1JD5afkTFEjlykosNYR4/LHabpdw +Csof2rz8VkmIQcWz6imnKNC8HuJ8dHke/wcXDf6Q + "]]}, + Annotation[#, "Charting`Private`Tag$87040#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.0514884216945115`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.1514884216945116`, + 1.1514884216945116`}, {-1.8525778801084858`, 2.1700181380206804`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, + 3.7142376591520367`*^9, {3.714237870020213*^9, 3.714237895967791*^9}, { + 3.714238448121496*^9, 3.714238456602359*^9}, 3.7142394684451733`*^9, + 3.714309360427518*^9, 3.714309402834841*^9, 3.7143096565203533`*^9, + 3.714309861928784*^9, 3.7143102830457172`*^9, 3.7143103257857637`*^9, + 3.714310775319235*^9, 3.714806815543325*^9, 3.714806849086192*^9, + 3.714807553716565*^9, 3.714807649722921*^9, {3.714808230981045*^9, + 3.714808254462695*^9}, 3.714808793742247*^9, 3.714809138986257*^9, + 3.714830785720742*^9, 3.714830886934681*^9, 3.7148331393766127`*^9, + 3.7148332410195704`*^9, 3.7148351822386923`*^9, 3.714836338517501*^9, + 3.714836531227767*^9, 3.714837257692141*^9, 3.714837313927657*^9, + 3.714837548981167*^9, {3.714837733053969*^9, 3.714837766917502*^9}, + 3.714837990449766*^9, 3.714839543879813*^9, 3.714839594809494*^9, + 3.714839638140133*^9, 3.7148400373705463`*^9, 3.714840760440144*^9, { + 3.714993310800767*^9, 3.714993323253458*^9}, 3.714993372215808*^9, + 3.715381870150674*^9, 3.715381931988196*^9, 3.715410875736693*^9, + 3.715468668626502*^9, {3.7154729195620613`*^9, 3.71547294610382*^9}, + 3.715712766080667*^9, 3.715719333073051*^9, 3.71572095352275*^9, + 3.7157209946832027`*^9, + 3.715766801466423*^9},ExpressionUUID->"62ceefde-a886-4aff-85ef-\ +705eb802a0b7"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.00001", ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "-", "0.00001"}], "/.", + "sol3"}], ",", "0.00001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.71483756248528*^9, 3.714837563468934*^9}, {3.7148396198220043`*^9, + 3.71483962069382*^9}, {3.714993381843835*^9, 3.7149933950922737`*^9}, { + 3.7154110172935543`*^9, 3.715411054670883*^9}, {3.7154729707607193`*^9, + 3.715472973616082*^9}, {3.715721001701638*^9, + 3.715721005164855*^9}},ExpressionUUID->"a99c4b04-e2fc-47f6-b2d9-\ +7e135d28c474"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol3"}]}], "}"}], + "&"}], "/@", "func3"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.714807568353258*^9, 3.714807568561453*^9}, {3.7148331605531673`*^9, + 3.7148331610481462`*^9}, {3.714993392582136*^9, 3.714993397619061*^9}, { + 3.715411038198708*^9, 3.715411063798061*^9}, {3.715411117095385*^9, + 3.715411117619063*^9}, {3.715472978109667*^9, 3.7154729808163033`*^9}, { + 3.715721008624352*^9, + 3.715721017700309*^9}},ExpressionUUID->"4e74b80b-977c-430d-ab65-\ +c2516c21c4d2"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.002777777777777778], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwUV3c8Vf8bN7PvPefcBhUhlBIhpXz1oSgRlYQSKSWatCSjVCqrMiJkZ4aI +kHAekS1b9t57z/A7v7/u677O/XzO8zzv9VyRK3d1r7EwMTFtWc/E9P/Ps+lm +fU8eb4T3Wb1fbl3kAyf+H6n3fq6HgI3Kr+Qv8cGv3ggsx5kBkxzSwkuX+SCI +i67X6kdAujuvHFzlAxMW5cDgehwMPEfLnK/zgcThSe0aeRyU77sMat7ggxL5 +RD2xaAzyZr+50m/zwZW8cG60G4OLCoe/1tzlA3lJg2rMlg7KlnsM/e7xwVeZ +EJ2eJBrM5+m9vvCQD+rsvUUPLPGBuNeKkuBjPmAP9dsjp8sHtvnNj9qf8IHS +H2JHeBovCBfdUwxz4INju80ri8V5QSZ3n9OVZ3xw1ERD6GgwDzwNe3Jm+ws+ +yHdYqB8U4oFvOd9ju535QN8307gsihvG+ZVcI97wgaygaqSwAjfIKVlPX3Hj +g2unv64qFXOByMhor8hbPqCPkSPuV7jgYAx+peM9H/zYSFr6MnFBI+9ui2Bv +PrgOn/4bCecEjYCsBSNfPni1zWDT3hOccKcHWy/gzwcfTdZp06c5wC83ObMu +kA86PcKWVUI5QLJ6ccQzmA+kuNa/e3maA3SL1L9oh/GBWiO3aygrB9xx+TfL ++Znq+0GS8+Uf62DksG95XhQf7EvcYuxvvQ5EbpjIOcbygXB1sZ2Q1Drgf1kn +phjPB5rXrTVKB9hh3ZBS5GQiNZ8tvVEO0exQULspNS6ZD+469rhvtGAHtsm0 +M2apfJB79E2U7S52iGFyctySzgf2eyM5PMbY4MDlv4dqfvDBYDDzgGIqGzwM +3fLaNYsPIvSDLa7bsQHnQoKZKknVQ4s1ZVNjg7imscr5XD5g+jiyd4WPDe5u +U65IyKf4slrwSaWRFbgKF0zMCvlg46GG6JxIVnAue/qMv4QP1J+CjcV9VnBM +2buvvIwPWPrPH9x7hBV+vLd44lTBB/y5C5xcBCv8l/ryrEI1H7yo1Wzt62KB ++p5OcqCWD6ac7B/kpLLAC90WMvAvxV9X46POr1ng642KszpNfKAXf9Rc1ogF +3kRstGdq5YPzPA+9f8iwwNJ13oPf2vkA/zBC28DOAswr3G5mXXxg/OlUiFIz +M2x6ceve+l6Kv78nXoh/Ywb2va7j+f18oNjy62apCzNkdmaxPBzig6vdIrcl +rjDDMmEcLzbKB8+VDVdllJgBe/VrpGacD0pvVI51rmcGmT3q+c+n+IDXs9l0 +/zgT6LD8Jy87yweOvGz5O0qYIPH1ysH2eT4o/l5fkRTJBDOqHQ3ulA60M4Se +ljkxQUrVQezQCh/8PO3E88iECZzDLnX0rVF6K340GKPEBLSfUSe8WWhwsd4z +31SACbQ/m51E7DRQyN+xIDe+Rv6wHRoY4qDB9jvOKDh+jazherfNl5sGtLnZ +xuUba6Sh5ecJFT4aCB+Z81PbtUbKFDlcHKbTINfwV4D10Cppe/+22QeCBomz +8afsv6yShS9+s6MNNMj6XnLT5PYqqd7w9+jAJhqc7hvpx/eukk8sZgU9N9Mg +QK3r3/vpFTLF8a7PQUEavBtd3FafvkLyX/eN7txGg7fKuWvN9ivkO9VMAxdR +Guw6vfQs6MgKGdy4K3KvOA02V+b/3MC1QnY7HXj/dwcNxK7NLqDKf+RnQxkB +x100+P1fwNdNH/+RwkmmKmJ7qH43fX7+0fQfKbAmsK5EhgZ75DIP50j+I5mx +2Bt35WjwfeOuhpfTy+TsVaM76xWo52HLFgPZy+TB7Y74jwM0iGwUlel9s0zK +sZvoGR+igVtPkauN3jI5cOX4AWZlGmTsT/0XKLxMRt56lfkZ0eC1Yb7YqdEl +0ifLvO34ERpY+zuDR+YSGR8lHzGkRoPHaw2xem+WyJ1iilwex2lQHfe1LlR/ +ibSfysFkNGlQFdOge1d8iTxwgMisPEmDumOtGtkzi6Q+uz37vVM0KFKcnHud +v0juWVafJnRpsPZ15FuZzyK5d9+PFyl6NJBrMhh4c22RZAOh9LMGNPjwz2lT +5v5FslGR9Jg+T4M4ts+1xpyLpE1dF4f3RRp4ONMLrZsWyBC/KnG5SzR4dfp6 +zHT8Aonx1PRXXqbBxOXuo51PF8goF2mdu1dpYJLx6aHi2QVybGrXeb7rNDgx +1C05L7FAqjDRub5Y0uC9aNDFLcvzpC+XiInGLRrMHI3mj6iYJ6XWRRv23qEB +x9JxG/fP8yQW17fgZE3h1xIaUmc7T5roiiOhBzSoOb6zwP7UPPl3Q8zuzEc0 +KAiXknomPk+qZaTknLOlwbYF/W1ty3OkY777woQddf6Y8qJP9Rx54IRNo5sj +DcI3jwpFxM6RsCf9soQTDQJrXjFxOM2RPyffecILGqx3/MtPGs6R24bULC+8 +ouYZOj9SvJc6v8I/OP2GmlfFGI8E1xw5s6CDe7jRYHLNmFbdOUte3SDZJf6W +um9th29Z5izJazNolPOeBrPfRHTW+8yS91aqHPW9aXD14e/B6NuzpNB6Ma2x +DzQAowGxV8dnSYc14VznjxQ+1ffyEkRmScmfXJ1bA2nQ2LfVU/DfDLmjQ+hL +ShANePOkLtfWz5ALfaHbNENpoDJ9gFaVPEPKNVQc7gingX5Fny3hMUOiwGHO +R5E02Lcny93PYob0y5V35Imh9LGtWeGS2gxZ4dAfHBpH1RNRe8NCeIb8MqB+ +UyGBBgam93Z8+zdNeuV5dBd/pYHFmPNtpcZpcmfACofJNxpsYWSqsaZNk3LP +axomU2kwGGeWyek9Tfp4aus7p9Mgs9SgU9Nqmjx+LfYZfyYNUmSgqkh7mmRy +EjP8kkWDz7VTMU67p0lOnn8tyiSlxwOaLg+4pkmNyVv0ylyKD5PMAaH9U+SL +6pTxy/k0MPKkc7AXTJG7ZPkcpwsoPk8wMYd9niLZpb9nviym/OtdU9b9F1Pk +2Nf+yA1lNPiYNHff/soUqWvagaL+0ECav88sU3WKTEhserO/igYN2Wf+SIlM +kUEVuFNBDQ1+1bYsVDNNkZviYKd+PQ2cRbn3xHdMkiLdIs96G2jQenhbRjpM +ktPsVq8fNNOgq5x7eCZ0kjSQ6j3M2kbN74DWZjOnSdLZ8meUZwdVn1tdEPOV +SbLFUorc1k2DF75rlRVHJsnL363fJPRSfOq5SpRvnyT3v8lnURqgwaGRurwF +tknSachYumiIBvbuypq6fRPkfNIjnnOjNLgw9I6vsXCCHLt5PKBznAZHKlMe +u8dOkKZWnM23p2iwu8pq8abbBCnTNlm+OEO9f+Qik83tCZIRonTfeZ4GDOlC +poRTE+SyoWAptkTxgz/Oik9ugixx+FMX+I8GIsV+RX7rJ8hw9VfeEms0sHun +x+E3Nk4ezLJjS2amw86k/sOnU8fJsZDenUpsdEAjLQcuPBknP79cYvq9jg43 +e5rmUlTGyU/FE+46XHRomt3qfJFjnHzovlr2l4cOfNUGE7p/xsjn5PlcUxod +rrV80vT9MEaGrFe8MYjRQdheJU7ceIysplcUWjPocHQgR5JJfIxMWz7btLiB +DtE1Ef1io6Ok59BymBM/HVg231/n/X2U1MheFuLaQge82T3+hOMo+V7kzZn3 +gnSQSxNk0zg+Sup61R3cJEyH/CBmJQ9slPyowd8QJEqHIxJJz/mbRki/8y+l +xMTpcLJmFzYYMUISkdoH4nbQYWtG95bV2yNkdHH0gswuOnTd+NKprzhCLh0p +sPouRQfbspDQKZYR0kCvJeSQDB16kjcEVpYPk3Xcgq9IWTpIy7/ZOPFxmFw9 +9nO72j46mPG5GJ2+OkwWfht8XLSfDtt7v3yfkBkmX5c3OZ88SIf7Pg/vVy4P +kUYdoFmpRIcK7FTfWOEQeXOtvPDsYTpksdy/ouUzRLJv3rdSr0KHZ5kth3tN +h8jVdrHh80fp8IX3cN3PPUPk5dYqzxZ16n6NEac/S4Nk7q1bkyYadHieWR2x +tWiQ/P1NnLtTkw4f0sw/RX4YJAejpFuuaFPfP/pVWJgNkmz8Gdd7TtFBYk9e +xDXZQfJt8FT8NV06tCdGOwWuDZDfomjxfXp0KDQwrOX6M0AK3/nv2nUDOkg+ +l+VK+jRAenPEN/Sfp+qRLX7ncXOAHDPwWGdxkQ56yoONYYcGyHc0bLzfhA5C +Wc+MRrgGyMg0M6/rl6n5qvq63mrsJ52/pE/0mdFhXO5ou0hsP5mxWYnb3JwO +7vKRNTy2/WQpu2B7jwUd9g/UdEue6CcrjrrfNbtJhwbHJg87gX4y0iH9Z+dt +qj6RmDNMQ31kvXR53iUrOqTn8iSnZ/aRg1+WX7feo8Mj2ViZMLc+slbQmtPo +IR3KaRO6WRf7yLv2RuoNNnRI1cHCOaX7yIGAgcPnntChdt9spPNaL7ld+Nhs +lT0d9oUpD8pV9ZKPXcIsdJ7S4Yfz3gV6RC8pILHTv8SJDq8KU023Puwlf2/j +eH3sJYWX4MlvBsd7yUOPb8r9ekXdz8LrmCvQS66uOQUqu9BhyzFP/fMjPWT4 +NZtfGW50mM1arRAie0grycfR8m/pIBs9+RT36iETY5M0E99T/AhwWNl7rYeU +26Adv9ObDonhop32itT3R7Zl4R/oULqpNH+Gp4fcnXD5y9aPlB6u5h792N5N +ZjyQPeEbQOkrOmbJPKWbPGmyPooeRAcOU/vXpq+7ydwahV9vQugw3fnS5aVR +NymyKTeIOZwO55nOhlXLdJPZ6p2KTz7TQVU900qTrZu8o5frPRVFB2uZ0oDh +hi6yie6eeCOWDiH3KvK+J3SRvcK3XLq+0EGlWtUz5nkXmcjlLnYhkQ5PzYti +8wy6SAPxjc+qkugwv2Hf93V7usiu2H2fNFIofPIeXrRm6SJtonBb8jsdiHtB +J1gbOklF9r8b92fQgYmnZkdWQid54l3iw/hMOty9qBsR+KKTdOnM/SCaTYdb +V65bhp3vJEceHrL5SNIhnMNyZ7lMJ6kao7qZ9osOYXHJ74TWdZLK0UxPX+TT +oTEp9NSHlg5S6Flo5EIBHbAHngKyKR2kvpDm29vFdJApbwyZdOkguU5IHOwq +pYNN0K8P9aYd5GiIcZT+HzrsPu/ytf1ABzkRzl9fUkkHb0P9cF56B2mV+LTo +cA0dLn1+pJFZ1k4azWc6fKujQ2/+pYYwu3Zyi8/UrHgDHSJXBa9W7GonSRsd +Wf8mOtAkhI2PNLWRstZzMrytdIjR8ti/5NJG6u8hphzbqXoFFa/NHWwj7+8v +tpnspEMUfLq0f6iVNJo9kmvWQwfWgbqgHwGt5P3kqD91fZTeVoL8n2q1ksXv +toQeH6SDVf1/f17/ayFzPYsUfgxT89Bzy6hKaCE3B9S+2zVGhwH14fqLl1rI +3ZbmiYETdGgVOBS7E28h/YM/e/JO02GTf33SvrxmUi39+0GHWep9b95ZPXvY +TDIYEDU6T+EZEH2LZ2czmT062GC8RAe6StmuuqYmssPsfGX5P8pP7LjlWj2a +yMR7+zyU1+gQsVbJvV21iayxrXxdz4TBKAwejpppJNN0u3bTWDDKn++dN49p +JPU9u76ps2LQ8b6x78rFRjJypnurAxsGCf9qHgRijWSw5KJlKjsGNXcvedF/ +N5DeVfsChtdhYDaSWZFj20BueRKbIMqJgabmpZwY6QbyeITl5/NcGLgUrEyU +df8lrbJfO77nxgC/Zre8y/8vWSC58b9CHgwmOAfv/dL5SwYf3NG6wkvdd+Xl +qBfbX1JLpvzyPhoGf2USWT5l1pN6hzeX3KBT7zcf0Gy1qie3uwpvDMMwuL3z +7yX9HfXkdckp9b84Bj6+Mi3r2upINpGw83wMDKZe5hqN+dSRGpbozNH1GMxn +3rTjPVlH/hxsk7LdgEHzqa2Npqx1pLmD50jiRgz+aypkDGfWksljFu97NmHQ +su9Gady9WnLv8iP+zQIYtMWxhoXsqiV/ny5/eWozBojPbX9xVw0p8dah7uUW +DK4fWZbeEVhDHjzmz525FQOiREX6x9kaUntZVmxcEIOiA4cbHXlryJui50XF +tmFge+p3nc3vavK3qDD7eWEMsmp9SyIcq8nNeh/LPEQwEMq4eIlFsZrcyVLz ++JcoBgNzn//znqwiN1h0cs1vx4CpoY9H/0sVeTat9ulucQzeLd630bxWRSbz +5jRdksDAZO/zXVbbqsh3jombfXZg8IcmUFXQWEluI9JR0U4MxqxE+HV8Kknl +nIET/yQpvKtPJ7CfqiSJO3oH9+6m8FSXR6NcleTMCjftqhQGFYeOLXG6VpAn +lQWL/PZgsFjgLu3LVEFGjwVeL5XGIEp0o4OTzR/yzm+/kVUZCp9g3RMlY+Xk +8xsiBnKyGPxK3rdw17ycvGZzIvqaHAZiukoT1m1l5Ctb4daP8hgk+13wr9Av +IzMm0hZK92Ew5M9s/KailOQ4Lbi0qkC9T4U/KlCjlIxfMeuUPYBBQf1MB+ev +EvLs2cDEq4oYBL03tKtQKiFPf6q57HcQA+2emz1j34vJMwKCy8WHMPh9MsXd +fG8x6fTv9ZN/Shhse8ffp/CliNxwW6xDWhmD/acbzS5KFJHnX7BIXT6MQVy6 +65PGsEJyh46ciTei+LGFHhovWEieLs979FsFA362D1p1/gVk+kzBw3lVDExf +fpjV3VhA6iRoGUkepeb/vXKTuPdvsq/q8g4jNQx0+vfv0cJ+k/2yAk3u6pQe +dnB/y/fIJw97Ot3POYaBq1rydk+efPJMVNz0+HGqf90/TEkueaTLls8XRE5g +YL5BsViYM48U8XSI0dWk9LVpcKXr1S9S0/9Y6wstDAxCaSJz7L9IpZ+0xdST +GGwaHv9+3jmX9L7Xu9yrjcGBPcsqfOy5ZNOept6NpzCY6ck5jjkDqX/mX9rx +05Q+RPtOX2EHEttndPfxGQxKzY4XsfOSZOn2dfRYXQykjT6v7+bLIemmvL6N +ZzFYHf8UYIRlk82CDmzc5zDQ+MtvdYeRRa69vn7hkD4GSvvZEjZv+knG/2zy +u2FA8anoys1LWzJJp9LerABDDO71HS5UEv5BupJ+xSXnMTi3EtiWKJ5Bjnqv +ZS9doPRl61iVvjud1DgoFbDrIgZz0d255+TSSIkPUiYXjDFIzciseX3wOzn9 +nM7taoIBc2eJlLZqKnmwqjvoxyUMFFxqZz6fSCGz1DIEBk0pvZPXz73V/UYe +8Qt04L+CwUGpJVvOi8kkn82n4uNm1PnzRe8I8yTy8+vilUdXMRh/nuNm0JlI +sl2R3Rx1DQMrNe2AqPl4MsS7S6jOnNKT04kkjP6FNAod5mGzoPzqxtv9Pjti +SVUmo045SwoPh33+MqrR5D0RFHL5BqVPtz/HO40iyd/mUervb1J8w498j7aJ +IJklQ2pzbmGwxDpl4OQTRhqnHTg5ehuDSwW+uo1XQ0g1Xcf4LXcxYK89fbIy +PJD8vN9p9oQV1f9R9aCeLj/yrKfOjsfWGNQd69BiiPuQCq9nVKPuYaB7ve/q +ecv3JKe8k3rtfQyEW67OXb/kQk5HsMixPKT4ZPvvlMqEE8nT8Ypj7yNKjyXK +u25xPyT7urYUGNtgAEmuTlunDMmUoIrbbo8x4DWMDb1PXEYl819XM2wxKKQf +6O48ZoNsKkoe9z2hzqt7CR1efY4a5/a0MOwp/Lo8ZrnOuaLyA/07VR0wUF/J +WBipeY+azrBduuNI4d8umXvezgelLHk5Bj7F4CWyWPdH+COSbQt9XfQMA98m +xYcn8wPRmWClJ7NOlD4WOb7/vRaCZGqs9EVfUHp0HZL/8TwMPePR2XrqJcXP +FPzDuzMRyLWso9TOGQOjqeQTVtsi0WnP/ddiXmFwyD4r4OJIFLIrvThQ+xqD +BsWcP+cyYpBht+k5ZhdKb+lvJY1fxCFmxdPxe1wx8LNyGbmvHY9EhBRHz7th +oCrjph+4MRFJd4nzv3Kn+P+gM6K27Ss6WiCx55sHpa9YzddYTRKyZNWQanuL +AflltU8lLRkpl/hu4H6PQWBqAM+/j9+QoYrwoIInBnb0Z2+P2KWgay8noy57 +YXCWv5hjg3Eq+hq76ZSHN4WX1xvag8Pf0XxmSGeGD5WXFS6KptvS0MGfviY9 +HzB4NvFqc9NaGmoK5yqg+2HwNpSh0dWejriusPMrfcTArSrkrC2ZgXrbfPXM +/Sk8il/9CQn+gUIWSuw8AzDo+sZ7Qt8hE3G+SPTICsQg3sJQN8joJ1rT1HHt +/0Tl2cmXjx8ezELASLcmgjFIFH2r0b4xG332mz2qHEL5vbaTTvN0NjJ6s5HZ +IhSD4FzlDTcqc5D0O4lYrzDK75mTJdzjSXTqpNx/2eHU/rGlhV1EDdB7g2OZ +/REY5IRulShIBqSE7m4nIjH4XOacrrAtFy24/rD5LwqDERmelbvuuUg7Qzbd +PJrCW2frwYeLuchZqafzfQzFD/mvCermv1Dx89b5zFjKv5SOfOqs/oVWJiUX +e+IwCI2pUT+B8pBNb10vLZ7Kc6PhIfsvecg5aTRbMYHSz+KnUvtN+cgu2MHp +SiIGe6wcd5x4kY+Spzz3un/FYOehTOWusXyk37+/9HsSpe/riyc1LvxGUV8f +n2lPxoCt9Zm33e/faP6BWR5nCga7Lwucst9bgKzPs4rIpVL8Ht+arRlYgMps +rt4w+k7pyenx5n72QmTb6RXyMo3Sn1NsxBmrQhQREgAJ6Ri8Kf/p49pUiAJS +X5fXZ2AwfVxP0kutCE0ImBes/cDgtGbMJ4vEIiScq/pl508Myq4+l6TxF6MV +bwn7M1lUfyIa3C+citH5B8IHn2Rj4DU19bhwqBix/KfUFZ6Dwd0K4mvz2RKE +Zz+3KSUxKB/820tmlaCRXJbFaaD0ssCh/0C8FJXyFppv/YVBZiOT4qJHKYox +bAa1PGpf/JKXpzNXiuYMtDhu51P3PRjc+9CkDLmliR768BuDi6Vf0m4VlKGU +TbfPZxdg0F/X46YgXY7kNu2/1ltI5c0gT3/Fh3IUcsLFmK+Yysv6A6tKK+XI +R+neEYUSqp7vEhxPrv5Bq9b/GMalFL8+yR9wLf2D2G7KV78so/aDx5fybslV +IJdPog7x5RhMemh3iPhXoLCHdetr/1B55ar1K3atAmVdNPBfrsBA8kWYDot8 +JYr8lsK9vQqD9RstdAXMK1FQxayFZjUG7XUb1m32r0QqbJKp1jUYNHIKv2Ar +q0SMQMORj7XUfiZc3tWwWonu1r/DoY7K+5iDh/1kq5D3ZOP2/noqL4zOJ6Kr +Veio8JHttAYMXgxPalX7VqHadzV0hUYM8kxDZU4VV6G/1/wHjZowyNBrtk5b +rkKpEJz0vJnS/9XhXZzS1SgzfexqbAsGW27N3FMzrUYGRj7rKlsxeMAyfvmm +VzXCvwd8mGuj9hmfeLpDfjXKLeAlBDsw+IQ1etvOVaMOt1m7o50YPLKbZr+8 +swa9WLhUY9mFwfsdRg7yF2pQ4KI+//tuDOxvquKTbjVI+lGvZloPBv5u3xv8 +s2vQZe2NN1t6KT/sDRvaM16DLAxmHrP0Y8CTUWicIFyL3M1dH+wcwODn918a +/Lq1SF2921hnkJpvKO+vOy9q0Y90LoUHQ1Te8C+2J6XWIk87ziX/YQrPW2kZ +bb21qOPYUDw5goG34+krCxvrUHDxD+3eUQx2HYufWjleh7QSnFq4x6l6yt49 +HX9chw77nDy/dwKDW2v+QuWxdWhUQDz/3CQGiu4nen2b6tBQzQZBuykMvqks +DJzkqUd1pyWvhk5jQOdrOzyuVI9m+G/4/57BoDqG8c/hVj06l9CVNTRL5beY +h8Lip3rE5hL0hz5P7SubhJgul9ejQuHIP/sWMOj8Y2P1faUepXWxZp9fxCD3 +tlTg3J6/6K9Cvr/jEgaCzIk+YiZ/0Vb7iasRyxT/vbSs0du/qI/uLVT0D4Mm +v33qx3P+oifqaQUjK5Qf+diL/Tf2F0nfvGqMr1H+/x++XUioAUUURXcpMOGg +4VSgN6rdgIgQV/0LzDgYX9Upj3VoQHWSm344suDQYXQ49GxCAxoPMuCOYMUh +JoG7c6ilAU1I6msWsuHAz8odcZe3ES3NbrUdZschcPujxU6lRtQsluZL58Bh +d9nNedWbjehI9e4IeU4cPIb7v74LaEQx698EG3DhUL6hVKG0uBGdWq59Y8eN +g/XbpsCZhUZ0/P3WKyE8OGz6+mOGZ2cT0vtrsSuPF4frKrO6uEET6izP6+zj +w2FX33IR26smVHfzwBtuOg7rngta9qU2oYzwckFpDIf7AZ7qad1NiN3kffgZ +HIdwfWurB0Qzuv3CZeNDAod4s6xlYdVmpDr9y/YjAwfO6nOLP+82I6NXx8p+ +rsdhkJ/DTj24GWniQrT2DVR9n+y9ssuakdCVs4hlEw7uNppnxJab0YDKxCVx +fhwsggaLbCVbUNLd1bsaAjh4f/3BnWPQghK+vL57czMORk0rOyadW9CjLx9M +3m7BodqiU5aR2oIKt8kpJ2/F4R37w4NiXS3ofKo5T60gDrc8U06JYa3IhaZc +PCeEg3i6rTPjcCuqLs95JCCMw1bmd8OTN1vRP/dZxn8iOOyTDfEi/VuRUsdQ +qIkoDiNLKm72ha3oon6MoNN2qp87Y707Z1vRJtsDrhFiOFw5xJeSL9qGNEvD ++n6L/3/eAyynT7ehjNIJuQEJHEIS0npLHNqQ89Seu9w7cTjwz/Omwpc2NPzt +SqCUJA45Qs8+v2toQxJPPqbr7MJB3tM6tJG9HSkkNeRZ7cbhObvSXYZ8O0pP +lwIvKRz+xAQJK5u2o5rRoPjUPVR/D1Xz9T3a0fdYBZd6aRyWrTMtTTPbUb7y +yrkFGRwuqb4UvtDfjpLmVojNsjj4pbP8E+HuQCxbVUFJDofumsK1t8IdyG+8 +wthYnuLHRqntM/s7EJ6YMuy4Dwe3wPzbZ7Q7EO+7WctQBRwyTTb1R5l1oDv5 +wQ25+3EgfoT5zth2oKQnGQe6D+Cw807di0PvO1B2o9ZrtoM4pBcIpD2O6kDV +rFcKxQ/hIFFZtu9rVgfK2sC2cEwJh/X3VDnaqjuQxg4lAYv/cPjsmbOPfbAD +iWthu12UcaAHvswXW+tALW/d98QdxoE973f2fxs6kd9ShnApwuHMnYQd2rs7 +0WfPYLYRFRza2y9w6at2ouYzxxp5j+Aw2d5jaWDQiTT2/Qjec5Sax3qD02du +d6JMKaZzOmo4fPRKzTv6ohMtSYr9u6OOg2TeTIm0fyf6uUHa590xHBQ/cN4m +vnYi/1oJwaTjOJSE1yaN5XeiD8c2+VVq4DB1USEor6kTMY5xskyewMFfdUXR +c6ITLcawmOBaOGRfnXU1WNeFJhD9i+xJHN4/bvXfuLULLdfvHzyjjcOHXbdv +/ZHtQuX7nvPf06H4sO0M19PjXUhjy5Ki1ykctrVJ2+w07kL9x6M1v53Gget+ +WFbJvS6Ues9Lu/oMdV5NqePamy70RydfdUqX4seK88BiUBfa7qa+g9DDYQfJ +0vIqpQvtrRJalT2HwyEFyVze4i7U89uw4Iw+DnFVFsFubV3IjevfU2sDHLz+ +7XjCOtOFth3Ad3sa4iCwmn/hAVc38u0NLUw6j8Onrb7H2oS60eOolHOVF3D4 ++V//UdV93UiYQ7du3AiHgxErhkEnutHqu5fH6MY4bEjf4D5l0o1+5p+NlTah +9PPQrFvlQTfaJ1a0on0JBxtFxrU3Lt3ooOTQ0dumOFz9dXxTcXA32nzil537 +ZRywBUEm1tRuZDFrGPnlCg5n18WI7y/uRgYBaVBiRvmn16THlbZutBDSXT54 +lZr3yurhN9PdKNxyoIzTHIdc+bLD0Zw9SEi/PHvHdRygWcubFOxBcWRA6DEL +ql/7G0eq5HrQ0LLhw2uW1DyieXVbjvcg6r/qfy9v4HBjiFbUcbEHce8pngm/ +icM9puNxbdY9qCbNLST3Fg5Cr51W6171oMPKpv913MbhdtvLkoLAHuSxplO6 +egcHqQXa+uSkHhSkaHpS0AoHjm9/O3x+U+eFPpFK1jj8yn27/15TDzrVwy1+ +4R4Ow6daNp8Y70Gxaan2j+9T9d6+7C3A1os4yLAC3wcU/oMZkd38vUhXtInl ++0Mc8jY9NIje04sEmc1lax7hUBMnnHj1SC8KstHWnbTBQdRD9esWg14UFvTx +Gt0WB8+wc6ZlN3vRj1enbu55goPBfFXBo2e9SPXIEzMtOxxY03cMbP7Qi442 +C+tY2uNws5gszojtRdcNtXa/dvi/Hy5Znc7pRceymJc/O1J+IaXQ3Vndi4TZ +T2b/eopDr2ye+O3+XhQtJXev4xnlz/lTylPLvQiTzBJYdcKhJ5pb1hrrQxwj +kylbXuBwYU6LbUisD3VdaVY5+BKHu+3jWRcP9iEem2eg74xDreMu02LtPuTK +Nyj34BUOKjk7p2Wu9CEbDsGPnq9x+Pcfbvf+UR+KVRWbSHxDzb+UdWXItQ9x +flinVOaCg0L8ZkcU0of21Jc+HnTFYSHHkvVtSh9qrbOLXedO5VnNP8/6wj70 +xlSofLsHlbfvWqQFWvpQ1OGf3SpvcXgbzNl+bqIPZe67MGpMrZA/be2j3dn6 +0VVW1qEn73E4ESflkc3fj/6aZzf6eeKQZMrxYUCqHyVt8sxK9cLB9ORsHp9q +PxIucfaq8sbhv5EGoT3n+tEf6QijMR8c8hnv4o5Z9iPdqYlNPL6UnqXGbl5w +6Ees2Y8Kd/hRfvK88LqFZz/yl//vhtpHHByme8OtIvvR/JwG02V/HAST+UTv +/+hHHyI+uzgE4PA0YG3wbnk/+l6tvy4gEIei0Qdr5p39SE7g+qO0TziwlApf +N5ztR1qcrY3VQRQeJ1PE1bgGEH0P7B0PpvxdqgbtEhxAF3B+O55QHKreimdy +yw4gh0MjGTvCcOjXOO7fqzaALHapDR0Np/aVqcrOTMMBxH5pB900gvKfgbMf +XW8NoGTdoB32n3Gw23ApV+/ZAKqwS5D/GIlD6UHbywI+A2j05CX51Chq39gu +4dAQPYAYCpkSldFU3sd08nv9HED2Ib/5RmKoPGvdfvBYxQAymX4zwBFH+W/Z +pa6ZrgFk58OTvv0LtX+osgoEzw0g5m49WxRP+bfAw05V7kEkqnRLxigBh1OG +AiodgoPIbtaw8VEiDrYm2gdtZQcR/bqojddXyt8+3qjiVR9E2zorOBOTKH0Z +5fMGGg4itWSLt8XJlP4EY8e33xpECSIzHL3fcJgnrzhGPx1EoY9tHzKl4qDf +qpAt7j2ImhfW6rd8x0G6+XJScNQgSux8K3UgjdKDnOhFInMQed/Z80g3HYdZ +9YT8Z+WDKPhvV8rtDBymCbmxwY5BxDiT1vvmB7WP1LW1aM8MIpz3K8/nTBye +mDT5xHMMoWKFWnHyJ+U3n45vXrdlCPEvSO1rysKhueqo9QXpIWRiC/tns3FI +TBkIilUdQmYtH/ZgJA7n/ml+ntYbQjtVUvl3A+V3ak/eKFoMoSUQXVDPxeGH +yXOdx3ZDqOjRQKnpL2of0LZc+vZ2CCU94vWxy6P2tY2y7wfChlBT1YfTvvk4 +fBv/yxD4PoSu+7oxJ/+m8N5s4KJWNIQa/8xElRbgYBYdPnOjeQidet6g0ldI +zX859rz72BAKS1WuYCqm5vn7QlYM8zBqu7Zbd0sJDsosAcKwfhht8o4pVijF +YebPSdfqHcOoVSFL4XQZpc/y0yvth4bRTbXbvjfKqXwpcnQY0B5Gl5N/Db/8 +Q/nbXCJtxHQYGd/KUwipwEFb61vq0P1hlH750YMflVS+qJ673/NqGLXbdkXX +VFH9+1/RafQfRk8CaJWj1TgIBwedKI4fRtxRzKMctZSfeRRZpJLDCLP7tSpS +R+n3RMjXgOph5DlrwP5fPQ7X2ppE7HuH0cvRIib9vzjIysrkGS4MoyuKWyfv +NuDQMHDSby/PCKqLNqx3aaTyV7QjjFVoBNlzOydFNOHAiPfsq9o7grp2xzzN +bqb2Ew52y8CjI2ihpujo3xZqHpubpUz1R1Bf4ei/iVYc1u4nKQhbjqBjxYJf +uNup/eDK1tfNdiOo2/eSjlgHDo+epIp5vR1BTCM/+pQ7cRBL5yTUwkZQzDP5 +BwZdOBxRitKdTBlBytw1c1bdlF6jNwz5F4wgp0Mhd1x7cOhsa25WbhxB7BDc +HNFL7d9LT3a3Do8g1uMNytl9FH/S7rbYrI4gGxvdD/X9OMR6yk/x4aNIdJ7R +NT6AQxihbBWyfRS1XN8uxjWEg5Xn6nmp/aPonuVrI9FhHO7s7fuWqjGKivyO +vVEaweEheclR0WgU5bpdj9Mbpf6SX6oi02+PouTmidzbY5T+r4Y8kXs2iow3 +D/55NU7lj/vObzFeo6jhr35VyASl941llpsjR1FGqEpxxiSV16vtn1+njyKF +tfi0qilKfwo/zSeKR1GXbbj/0DSVt1OJ3/RaRpG/z457rLNUvVFc7qljo8i8 +8ojK1jlq30/aOEdnHkNDcUusCvPU/PW2zpgzxpB4yLls7QUc9tqauPwQH0OE ++IVb5ovUvvdU6AeH4hh6m0zDny5R9an4vzqjOYYepNl+8VvG4eQTjlnfi2Oo +JTxMKekfDlp6oRwNd8bQoW733KIV6v9Hom/ueqcx5NChqty5ioPrSQEJbe8x +VM9UmLi4Rt1fe07RKXIMDUeLbiSYCahqebCclD6GaPuN7u9iIcCPHnivpXgM +zXLaFBxhJeCe23Aoa8sY2m9nTzdiI4CnxtlFYmwM1fVY69xnJ2Cw31lGnWkc +pQYYv3BbR8ClXlbfS8Q4GhhTT4zgIMAtbAM8FBtHK3tlK35yErBL6E/S6/3j +SDpBvK+GiwD6F6WbHzTGkWSC5PQwNwFt0zemgi+Mox6bo3OsvAT4/rx64vOt +cXTujO34Fj4CJD7I3I90HEeRT6ra5GkE7H9Vfi/8/TgSlNPN16ITwCd5WCsw +fBz9SGEONcMIqMGfrr1LHUeiin3WdjgBjgYuXs8KxpHlLPshb4KAgMdnOW43 +jKNxoesLcQwCzJ5XmZ4bGkcmvfSEX+sJ2DEzHXbw3zh69GidYdMGAno0avt4 +OSbQp5XTi5MbCegrvTW9RJ9AM+Gz77n4CSjPOLDQxz+BdrsvCYkIEFB4Inqu +UmQCHW25FqG4mQC1MqmJjF0TyC1FWej0FgIeiRzoC5afQGUyb95d30rA+YMK +Tc//m0Bvb2rNOwoSMPefd/lV9Qmk89TjnK8QAf23s3LVdCaQ9zO9uIRtBDxs +2JwhajCBFJ5HzeYLEyCTvvHb6qUJdMbH5UCLCAH6BzclN1hMoOp8VqtpUQK0 +vzilJVlPoAChLSHcYtR8YjLzXj2ZQGRsXb6IOAEqcuJNF15MoMu3DnYqShBw +xl50Wcp9Allanpw5tYOAl5eInSs+E8g4bP2q+U4CRGz0rpQGTSBJ4uOqgyQB +ZR/Vv/hFTSC59JZZn10EfJpRZbvydQIhl4HuL7sJSFP8fGdXxgTSd8wt+iVF +wNq+guEJmECKrrc/N+4h4FTDmv334gk0HTT1aEKagNLi6O2PqyfQaLS+Csde +Aq51MjoVmyeQoU8Ik5As9b41v7T57glkc7ImfZ8cAaTE68jUkQmkmj5/TUue +gJ/P5L7enZ1AyxkEz5V9BHTcGa7duTqB/sjvin6sQPH1DBN/x7pJtLJO7dC7 +/QS8gxzbD/RJJEY3z488QPGD5cGyBv8k2rDDVz1LkQCbhRvBS8KTyE2iKbv6 +IAEz3qNmcZKTqKHrwJ7BQwSwZKhpG8pNIjmZ795rSgSoS2UYsSlNoplmg8kN +ygRsH/Z4n3h0Ep1MFz8mdZjSkx7PqP7JSfTJXczrCKL4pPng3oreJLISv1Bn +qEKA2Dse0XDjSXRUo4x+V5WAlWxiRc18Et368UzV+QgB3BnFbH13JtHiIYcb +gUcJ6MSsDjnbTKIL7oWuyWoEVDgfDRF9Nom8blwLL1Qn4HvZs305bybR2/cX +k1uPEaDlb7Zs4DmJXqR9S58+TsCsosTsuP8k0vO6/Z3rBAGfp5i3vwqfRB/+ +esVt0yTggIrMq81fqHoP7PRT0CIg9VvPtoSUSSR5Wd5O6yQ1L37DSeWsSRTM +lKl/WZuAWt6c5bL8SXQGciVtdAg48UJT5UL5JNqucXrG/RQB/q0y0Fs3ibSV +b6aFnyZAdnuI/d22ScR+lN8q4wwBk/eLHs33TSL9pYsif3QJ8FFq/uowPokC +mFFJ91kCCm6yS7IsTCLe2bwbi3oEsEfc737JNIWC7kyy0PUpPvHqdrBzTSGW +deVeYgYEVA6XCDvjU8jh9MXNhwwJqH7MGcWyeQrt7/zsf+o89d1WztpRdAot +a8Rj1y4QsOWS9YuFXVNIcePjp0+MCAisH2q1kp9CqnV8fe8uEtDUku/UrzSF +tLD7apHGBCh0iFpdVJtC604lBGSaENBcvDOu4uQUSt74a6DiEoUHsbhX9dwU +khhOk+41pfSjnMqebDyFuLQ9by1dpvjZ+ERym/kUCvipH043o/jIfCvI7c4U +Uk7hrRS7SkBweuSVuUdT6E1ixuzBawRsnlR7cunpFCLFTRmnzAnYl3ytt+D1 +FKp7yyl59ToBYzXbI6XeT6F+4/T9thYE2Ml/zHz/cQoFst37760lAZr+LRLT +oVPowJTyoYgblJ/s5xo+GzuFLH2E92bcJOBP3z7OlOQppKe/Taj8FgEjFg+f +YplTqC0UsXXdJkD3ZceZW7+mkGjzq665OwTs3en6rKBkCpVbLmXwWBFwaPgl +77aaKWT3NeS1sDUBH5a65x42T6FgXnsdhXsUX3gyVEq7p1BVuw+f5n0CNHbj +w0IjU0jAeTzf5AH1XHhtzmpmCmXrez64/5DKp+Pvr+X+m0Lx8U+3vnlEQCZb +9QGMfRqxtZJZn2wICCqpvGPMN41slQzOJT8mIOHCR57YDdMoV0Cr77ctAdG4 +PH1acBrVFYbebXpC1bPnyxMliWnE8DaeHLOj/LOF89Rz6Wm0rvDVTVYH6ny4 +nkfh/ml0PEGkbZMjxWfJD/t50DRS8ZA/IfWU4qNXpZb28Wl0LD43XuUZhd8J +3j8ep6ZRkHYV5zknAjjRyZwyg2mU+u26seVzArqXvQW5Tannm13jHF5Q/rGh +b0TdYhpl/FKe8HxJgO02tT3PrKaRZt9r6ShnAuLTE9szHk+jqzm3r2W+IgAT +kmCfeDaNhJ7P+Px5Tfnjz5hgcZdpNGIukt31hgDpewoJ5z2nUUnIYuucCwHb +mIpl3f2n0aDx83luNwKOFV3akx02jTwqgWubOwEL/rOhI7HTaE4sc728B+XX +2509Nn+bRhqv7vMff0vlby3HzLHMafRXcGq90TsClA7b1Fn/mkZ8DCXuu+8J +uLurVC6wZBptdju78NyTAC6zZd686mnkGqvS7utFwDqB1auDTdPo0zsOMs6b +AKH8IiVa9zTiME7wy/Gh8ifstJfs8DTSkzlgWf2Byh97F8uz09NoSSROvs+X +AMHH5r/uL1N4nOKZX/QjwOt4U5AX6wxaK7+UwudP5bNJ/b+vPDNoMDXeQiSA +8t+zWh2ljBmUvGl+o0IgATczJU/0bZlB9znVcjQ+Uf1tNlVc2z6DLvp9NLkY +RECIcmviRqkZ5FW9OH83mIDDZm8TpPbNoIiCW64vQgh4MWOqoPrfDNrgOLfB +L5SAHzdUjuupzSBz5k8BcWGUfic29Vw7OYOeGVzhzwkngDeumveR3gw64qzz +riqCgJMsF369vDiDEjyurfV8JsCly5fd6+oMarOOt1iIJCCcx/pv0K0ZpC27 +s5QnmtJbRKVizIMZdLu4VWJbDJUX+YG7ku1nUK1CtZ1cLAH2jzMSMl7OIBsr +7hL1OALOLfHk5bjPIDlrN/z8FwIWPz65meczg3ZKX9C9FU/tF7sHogs+zaA/ +gXbuTxMIeOp7wLbo8wxKjZ8hvRIpf63Q7CiKn0FPzpSMRH4l4Ks8a1th6gxa +eszM+JFE+XuX6v3fWTPIGQuRK0um9j3jvtDc/BmkyRqj1f6NgCWfyutZZTOo ++JCIyVQKAQ7mbUXfa2fQfDD9Bvt3Kq9GRvMTWmZQ2IbHd/nTCPii0XLxc88M +wl9curM7nYBYP2dP/5EZ5FNcYn44g4Cdvb/NPGZm0NaSHMMzPwiIEn5c+/Tf +DDIyU1G7mkn5q96jHiu2WfT4np6kzU8Kb4UAH1PeWbSuZo3DNYuA1S9ZvTrr +Z9EHk+Mdn7KpfOdKa1DaOotWR2S+fc0hYKul8Z0dYrMoVS/H4RdJQJKsazQu +NYs4b8wfqQMCTEtx5yV56vlaO/NALuUnl0s4upRmUVaffebSL0ov3G/2Fh2d +RS/Hqm/x5VPP1bcxJWjNok89ffzCvwl4HGNm8/7sLOrxyc6RKyDgrPcOv3tG +syis2MhEvZCA+6eVTc+azaKzWgXzBkXUvKwe1cjdnEVJHcxuN4opfHUiJrH7 +1HkdBr9DCQH1cj4/R5/MooDza8HvSglgNPDLFT+fRUd/lWwLLyPAOnztXITr +LBI48SQgtZwAb2LTTnuvWZQYT9AL/xCw+6VU7NmAWfQ+9qNDYwUBT4Z4myTD +Z1HjEtY3XElA68GXP1djqXouPNNYraL2gRcmOtXJs+j50+HPWA2lDy1z788/ +ZlGssMGyaC2FJ4+528PcWSQ1VailUEfAx7c7DqgXz6LD0Ud8j9dT+TR0349R +NYsGJkqbzv+l8k6NkdDRMIvqHC0EbjUQcHrHn8fxHbNIem2rrmMjAYYjN5Yf +Dcyi3UJjL983EXDbIUlBZYLq91VHcngztc/MXd3JuTCL/nYuNKS2EHB5QLv2 +z9os0v+rtFTQSoCBscwhH445tJ0vcUNjGwFX1f9cMKTPoQc79HYPtxMw1TK6 +f8umOWRaLKe00kHAAP1MRYvQHBr31lGndxGwSTRTLEhiDqVJxJ8Q6SbgAmP4 +wEXpObS27bSGfA81D8lIrs375xD/VqSq3ksAf0xMQL3yHBr77rDPoI8A8x/f +hz3V51DbK0zUsp/aL0LdVrS051CFxD8uuwHKv8wHK9nOUb/frT7iPkjtpxc9 +zLMuzqGGXRNFwUPUPpmxj7x3dQ7lpjGHJg0TcEQ+qHnHrTl067Kj9a8RArK7 +nmc1359DwZk3lGtHCWjkCb/y1m4OiZ0pZe0bo/SY+f0PejGHWpM/58+PE5Av +ass84TqHzCyWn3JNUvuvRtRysNccsl6tUdgyRYBJ/Vz2yYA5FPVPrk9qmsJ3 +o9iJxbA5xDS01fPwDIVvW1/Q59g59E3Ld//pWcrPveeydJLn0FBkRP3lOar/ +MzzR8xlzaPTJCev785Qf9jVfDAFqflru65wXCNA5ItSuXjSHwvysfH0XCXjf ++UZ6uGIO/WxZEo5ZIqA3sVLr3d855OAnE/VjmYAsj7gDcu1zKO4IQ6L0HwHp +0yVTNX1zaJthXGjLCrVvrut1eDA2h/JOLW4YW6V+HxDfyJibQ7MhbK/W1ii9 +ZdSs+7YyhzbmVE5gzAyQquNdd4p9HpUKXtEXZWFA4FWuhiHeeSQim50mz8oA +g/QnDs7r51GTRR+uzsaA60L4vNDWeWS9r+u6PjsD/G7bq6dvn0d+zN8zrq9j +AP36LUud3fMo7T8zNlsOBiweeW/WIzePFk9ParpyMuBs/4d9toeo+6LN3AO5 +GLAUubuV98g8Uo3NKYrnZsBQy6pxyIl5tDtrHVMODwPcm7LS956ZR+3qKnIV +vAwouIMPg+E8ko67e6mDjwE2v2MWTpnOo3ta/q8naQw44C7d2Xp9HjW65sax +YAxYuKUdeePuPNpQNFLEwBngtSFJfe7RPJK9vK1LjKDO+zLlPXOcR5opxnMK +DAbcrOsX5H41j7IE4tmPr2fAjp10Ay+PefRxjIYZbmBAk/i2uwIf5pGzq+sG +y40MwExJ85BP82hUbfvGJ5sYkF/od1js8zzKvd+Ku/EzQObZqfnoL/NI/2Y2 +5ycBqj5rd89dKfNI/mnhUvxmBviwzPLFZ84jGjPTQPYWBmgsSt+W+jWPFFVv +Vv7ZyoCGe+1fvxTPI+53fKntggw4DHH1klXUecVhrwkhBhxSVuiKaphH6104 +bzMLM6CnTLRGtGMeBZRZHiFEGHDx88a4oP55lHGSwdguyoBdEinXN43PI/IM +V7v8dgZkDAbwvp+bR6Gip6PUxBgASXf9OVbn0T72EYtz4gwQWa2mObIvoD/K +nRLmEgyozbh2e5p3ATnR93U82sEAbsmi79fXL6DJnwM+r3cy4ElIwEDTlgWU +8YJV/aMkA8I/2K/T3r6A2iLfTMTsYgAXwYfl7FpA60zt/X7spvCNG2KXlltA +bONdB0ukGBAXmzLw6eAC+uUBf5v2UP2rrPvBrbqAdj8SsB6Wpvhx/KmNjcYC +mumYZP8nw4A9H36KdZ9aQDbsOr68sgyI4TTM1TZYQC4CcqKCcgyYEZrQTjdZ +QJ1nwmP3yDPAWFS4dJv5AtrWFS51eB/Vb9jzg69vL6A7/w580VFgwJz6N//R +BwvodtU18Uv7GRAtrjmia7+A1nvuDbx7gAHivN2y6S8WkJflJ95nigzQHN54 +c7PbAmJ6k2D7/iDFr3rHj/ZeC2gHv0VX6CEGxD9KyWz1X0CpapXHkpUYUH/t +ZLVy2AJiPjAUlfsfA1g+dbZ/illA3RszWaqVGVA5z92z9JWqh0ftQtdhBpRb +m7QbpC8gkUPuCVOIAQ933a9OyVlA+wt9/7GoMmAbZ3s2rWABLdVdP844Qs2z +8EC4RfkCOvSG9e32owy4YkQ8y61dQC9Xb1fKqzEgrYDVUKBlASkbfqGpqTOg +9L/QXVbdCygrhdTQO0Y9t7Bf+D20gEb2fHW8epwBHXq7f22eWkDmXQ5JDzQY +kDOG3txZpJ4Py7S9PEHxPUVbK5dpEf0wK+b4oEn1M9zHw+BcRO2XdfZEajHg +2PGgEjP6Inqw8kvn+0kKn08sb1I2LiLOk7tv/dam6g+IVmMRWkS7r7g51+kw +YKpKkPm0+CISONsf0HuKAd1as9mfpBaRtOzR+NnTDHgvkmM3IL+IFPkifrDr +MqD1DKeSvNIi6prjzttwlgFColf+2R+h7l9xLBLXY8DOG0bw+8QiGpRiLVE4 +xwB/l+ev+c4solyvwEJ1fQaM8l7T1TNcRM4HT+aeM2DANU5PkYBLi+jUboH0 +a4YM+F7uPdtmvoiarNbFPjxP+ZfD0h/RO4voJc7v53yB0r/umcRrDxdRP0PX +6YMRA8a7xHyi7RfRXoeM65EXGeBqyeQ08GIRXTlzSvO7MeUnTFYPd7otoq/e +myV/mzCg4vSq9XWvRZSnLsRWd4kBdWi/TaT/ItKxMGnuMaX0zhLu3BW6iJKW +2hJnLjPgAVNZkFDMIgpcjnBkM6Pmra4M578uol0WyZrrrzKAU+/pqHfaIjL+ +j4chdo0BAeu2SJRnL6Jb97//lTen/HP+4w3234uI4Ej9ePQ6xc+1Zz//K1tE +chPc+mctGMAuYiRwv2YRHZXIoZtZMsCS9+vLmKZFtBxS9fveDQY8e8q62tK5 +iDJ0Tzx+fpMBNLN2Z2xwEUXISe7wusUAsc6irUcnFpGk/MPqsNsMKOpTz3sw +v4j+Oyb7JPkO9fucFtvI1UX05+Jlody7DKhRIlTr2JcQy3UustKKAVn4TQE2 +viX09Oyeix3WDFC8e4tVbv0SYsWqZsfvMeCfW8CayZYlxOmy4LZ2nwHOS49p +bqJLyCIuWoj+kAFhYW570ySXkKFJV4LQIwbcOHvOvGPvElJ/G39Q2oYBnX/P +J3EpLqFUUe5fyo8ZYO+xmS6HltAnlrVj2rYMCInc/OL8sSV0ev27ootPGP+j +uLrjufr+8GcPkfK5w2jIjJIiROW+JUIqlFIaVhmh5dtOokRUIlJG2bKKJCOc +EG1JiqShIiVaSubv/P68r3Pvue/zvJ/38zwHWUS1SwetGGKaFlVZ+h7CelT/ +Ji9jzRCz2CXqzqHDEvT1Z4b7A+chJsJVbBxxRIJq3Qvn9bnh+lV08i8FStBC +xWB6ss8QY3p8fGrOUQlqUIkn9XcNMVu2HY8oC5IgGcM9s9fsH2LSsqoH7h2T +II25MRsDjg4x/eo3N7YGY73T2pcZEzrE3K/0Qt0hEjSVnSxVdHqIeWTzRvnv +cQlKXBYa3nh+iInNUggUhErQr60Fqr0JQ8y9/Gmt5EnsDwrn24RpuH6DH3PU +wyRItaM4VyVniJlJxwbPD8fzcvDMpUWFQ0zAzInN5qck6EZUUqZj6RDzy9RF +eXUE7veBzU/9qocYKd2zPm6R2D/8V8qfqB9inB8lF+46jf096HNgwuMhRqEn +eiDojASZ/8rmFT4fYq6t3WEYdRbrg9yEnLvtQ4zPJ6OAy1G43k/hO9o6h5jb +Ht8LCs5hvBSuOPb2DDH8tMSuymisL0vvbRz7PsT4+oHS4xgJuht3+ITs4BAT +E/XW9vV5rK+XDJ9OH8f9ennk0NdYCZo/b+diXcEwMyo9PWsoDuMVmvp4scww +8/tffaM4XoKezbE8tpwYZpQ8DwzIX8TPhs+dnJSGmVtKJvIzL+F80F63xkNl +mJF5I73AKEGCijWi/tuhNcw07hlYY5koQesX51ccmDvMLEv56++YhP3G+7xm +iNEwM1GbDvVIxvPO3C6LMB1mvJ6uu7TnsgSVn0vYHWMxzGivrcwNvoL1au1V +h0u2www6tLz8XIoE+ak4b7iyepgpYQnqr6RivzyqeSpjwzDTkfb9ybU0CYqJ +Cem86jrM1KnItlSlS9A8m0/u+V7DzFSTra2PM3D9E+9MvL5jmHme8af1dSb2 +hw8RHwr34v2UG158zcL9bSzvLDoyzIR6vGoaypYgZeU70jeODzMLtOc/EOfg ++baVuBVFDDNdWq3V8rk4L5SrfbgePcxEKz4o0szDft3jFVVwcZiZWySTZpiP ++4ccfHKvDDO6mZlRFgU4H5GOu7KyhpmUnPhDa65hv07ozEgtGGbu7+52d78u +QXq0nyjp5jCztDDOenehBIGW58W428OME50z+1iRBIWfM1t/tnaYSXVUl4m6 +IUGOtv5WJx/g/ZSkvyYXS9DVlZs9A5vw/+Td6vNvSlB1THBJQOswM+mf9uXb +JRJ0klpu6PN2mBnx8fnv4S0J6vwxs3tzF15XVLN+VYr1ZF3EfYdvw8y2QmfF +njIJOlbd2WHxe5gRtRM9f8txfpuYrLZgeJghYfVNwW0JamqYnazFGWEWhise +JSslyCNy1EZRPMLc2ORvqVaF53Px0VlSk0aYfneHCfrVOB/HKcM/aoTpNnvw +2Azh5w8rw7unjjAGiW2n7e5IkHvofmGL2ghzlTq+fEuNBE1+IVVxZ9YI47Xm +scC/VoLGT+5Jz9cbYU7/La0+XCdBp1dMr4s3HmGWpNjsjbgrQdLMIcUQGGHu +/zihfaleglaW/sryXTbC9IT5v85ukKCyd799HVeOMBP5oshb9zD/vnzxXuw4 +wrzgrjWuv4/7nWN2WW3jCLNZZePH5w8kaNtlD5kJ7iNM9MjU0x8e4jwoVV38 +3XuECdK5rP/zkQQN76uIbdk5wiSu+vCS9USCCvzuXi/bN8LMGvl2QLYR690L +S0FS4Ajz/GGNwrSn2D+W5sQdPYHX1269NbtJgq67rHdzjRxh9PXaHBY+w343 +u8p7ScwIw/kzo9e6WYLSZZbkq1waYY4amoc4Pcf9mLVSh5MywkwLA3nPFgnS +j1z+5V3WCHMkcGrufy8kSFEt7WNVwQgzKa9j4fGXOJ+zKqck3hxhslKPP4hu +xXi9YMfsvz3CrPhFrktpw3nZo23ZmtoRZuac2PfXXmE+p+Uu1H0wwrh08n2q +2iVoWc5bf3ET7kfy9u+PXktQoEnH+86XI8yJ7/cD2jskaK7qhNiKNyPMUw+1 +vz1vcB6Ep2Exn0YY75OB+wbfStCGtuhKn94R5u6H9gHBewl6fadM3+wXrp8H +u8lOnJd25nylhkaY97sKelU/SFDXwoefvrJGmfGb2lv1PkrQma3HVJBwlHF1 +Km2HTxI04YheaszEUYbzboPdqi4J6m4w37qNHGXcm8naTd2YPxxF3wVTRpmR +W736vp9x/t6lcEusOsrskfuQerAH+6N7luUrrVHm+rYR2fAvEnRUU1MpZ+4o +89No0aELXyXoAX90/gGjUSZYlPkxo1eCzhKnzy8zHWVK1i+2Lf4mQW99TExI +i1EmK49fVNMnQfYzvTQ6l48yMsc4VFM/zos6B9cXOIwyCmuN9r/9judX/Vnz +gfWjjENOVuu3Hzh/oObYpS6jzKLhtUYjPyXoc8m7yxM9R5mCu1bnpX5LULyO +88+XfqNM1ImgfvkBnM+YjNNXAkaZoBK2teYffF+4przb69Ao8/BZ4xWDvxI0 +2jDnim7wKCO3pu+P+SDuf/1c+T9ho0z8DZflDv8kSKAf9qri7CizyVs72WUI ++4UktjsobpT52ruy338Y69PuUsYiaZSpK24yPTKC81mCwwdR+ihDGpVERoxK +kPWt2mcPc0aZrs/jrRfH8DyXbp94pnCUiTQtUs0ex/qvnxO3qhSv5z71LWER +yJf9dvuk6lGmIm1zcR2bQKIF3mee3h1llOK3DD3jEMj/RNbY2UejTNLQC9P3 +XAJF2v27vbJ5lPm08N6xfh6BQtQq70u/GsXzYlg7ysffz7VXf/BulNmvoMGV +FhKoYQLxNLQbny/mopmiiEAKG90fLOkbZYqyzgfOFBPIRjOJGPs9yuTVKJYb +ShGoRzz9WunwKDNsp/t76QQCbZxkeWk3Z4yRrmqZvVqaQO7XdryYJR5jEgIm +e7jKEEjz16D7R9kxpuXNp4s7JuL99U3NE6kxRrBt7ZMjsgSCrMSA1VPHmOe7 +t7EjJxHoI71zUKw2xvzzVdC/NJlA51OIxmrtMaa7Yrd7thyBpu7oGgyYN8aM +3/0vukRCoCZ/s71aC8aY5u/qqI4g0LbCoGUdpmPMjZTQ3mckgbR/jftGWYwx +PYsS6PcUgWZ+VeheYjvGsDQ8zfppAs3v1yr57TDGNFR/8x6VJ9Avu1OvMtaP +MVW+eucmKBJoNituzVqXMWbJmQW3FJQItHAsU03gOcbIn+C+1pxCoLrD9PKb +fmNMcGHcuMFUAslrmt1zDxhjunYPzFg6jUCr7AITJx8aY75rqpo7TCfQjpUz +71UdG2Py5qi6uygT6J1l/PLtYWPM8Y+Dx/xn4H7v0NSkz44x8zOzLh9WIdCC ++DnONbFjTGCj3u1TqgRqKxd89k3E+1ckvYxXI9DVnaInVNoYI6z/+iNTnUAP ++iJk0NUxJnWZ8oSbGgRSm9WT6XUd73fJVLVWk0CTmvZfmnRrjFlG2Zg0zcT1 +vj33+VYlxktiafdWi0DTTSPPba4bYzJ7DLZ+0yZQwanqWN5DXH/flAPDswg0 +LA4ZuNo0xqw6MBYh1iFQhY5O4crWMeZbR0cSPYdAubvI+z/fjDFRu6oK1HUx +3nbRi+M+jWF9TavSn0ugFt7QROPe//Mj6rHZPAKt10tb3P5zjPkRHta+So9A +Kuc+3D/8b4wZUjj7eZM+gfZunFw8lTXOfPgv6/f2+QQ6BsEjlYJxxq7v+fgB +AwJF7Y9I2yQzzng3K0qFGRJoNz/k6ohknNkTcFgSZ0QgjxWVExMUx5mB6aNK +6Qvw/lpRzQtmjDNL1K6oFhkTKPXIqsEWzXEm9omXNjIhUMxruyO754wzd7Zv +mPtkIYHecz67TTQYZ54s22/wehGBfK56X726cJxxLbhr/GUxgRq3atkvXTLO +2HyxWDxoSqAPhYc2vLEaZy5ajDACINAuKL67b9U4M0eq14www/U7aMRMWjvO +NATJm6sswfzZrl6bvXGcKf9x3HyuOYHis3lrwX2ceZc+39x0KcbzMG370nuc +sXyvvcTWgkDK065n+O0cZ6y++cAGSwL9uDnDnbtvnEETBxd7LSNQVkHV8fgj +44wgosVkrxWBOD5tUjrHx5mrmQKj49YECmqvHUCnxpmQjDN60TYYP7WnFmvO +jTPzHu7UubKcQBf5dsNdF8aZ1RuuaxbYEih2ZSx1IHmcGTlvN+P2CgKtPvDj +glTGODN8e43ig5UE6jtw82hC7jgzWYLkWlcRSEpP/8msonHmystYqS47AnnF +lYdUlI4zDjZt7N/2BEqyTrpiUz3OHMw5PcheTaCIyFnqbXfHmUDDkj7ZNfj7 +lpuTPR+NM0tnr/041ZFAoUWR234/G2ds7+9sm7WWQBu6xlWPtY0zy23ET4zX +Eej11S02Mu/GmY1fVWqWOeH67w+3xXeNM/zP6KbjeszvTtVm1W/jzI5DXdnu +Gwgkt1XTsODXOPPtbVzCLmcC/Qxw5C4YGmdmrWo5fXQjgRZVBia5sFiQysk4 +enoTgb7o3OpL57KgTU+8K2EzgUq3HBr4LGDBB5rvdnULrvfOz8LZUixY0JPg +cMuFQIopS9V2yrCgsePpkruuGN/xC7Y3JrFg8uwsvWY3/P5fyaw/EhYkiVVU +3rtjfke/rV5AswDlLp3c70Gg+iczJhxSZIHyMjnW6FZcbyhbpnIqC/Jlz/RJ +eRIo+lDG3TFlFqgZV7yW9yJQJz3fANRYYPUn8YGGN9Yvt+fOxzRZcOqAYel8 +HwKlZecZ12iz4NzvUxlLthOo7PCHJ5w5LPgYnxRt50sg/W/JSubzWCC8sOvo +Zj8CnXnPVw6Zz4KZ06V8ff0JVDO8+HWNEQtGXHycDu4gUHCsnx1nIQu2R8Qu +Ddv5fz0qP2xmyoKBR2fmxu0ikOWe5a5BZixIX71+SvpuAh1+aDFWtZQFT20H +hUV7sH6salw9uowFDp/8f1UHEGi7cKLbwuUscLNGbx7/RyDaSVPrwEoWfE/v +v9++F59H1uxqiT0LtFVZN3v2YbzuBHX+WsOCC32/L//dT6CzuRNa5jqxIGFe +0yn+QQJxfYTH/JxZUErG/yc5RKAxjYtdVzezQFBn6zLjMK5fvYvf5cqCXx4/ +bXSPEGhehOTtjK34feVIg8WBGI+Llrs3ebHg/rSpysuP4vXfadXx21nQdyJb +an0Q1o9ndg3N/rj/h+cNbDtGIHOl3eETd7PAU6vibUAwgR7azBZY/8eCJ9et +HgSH4Ppy0heH7GfBnAUdxVHHCRSgPK5beYgF5R8OXU4+QaDrT106/gSyYMNL +zVN5oQS68PebxdxgFlgbfgwoP0mgVt2H3t4nWHBCtXjLvTACTYifYp0axoJF +dy7ZvAgnkCBf8PFVBAs05iUYfDyF/5eWbyI5y4J750uVf0Zgv9ltsGJ5NAuq +pf9MYJ0m0LMlNUohsSzQL1v7V+YMrp/en1kezwLN8o5OpbMEKvp28NuPBPz9 +nDNPtKIIdHd/3/eZl1lw12B7udE5jH/5n+tbUnG93/ZlWkQTSH3FLZ24DBZE +7rkVvTqGQP/qV3s+ymbBlk+zj7qex/6d17+Jk4f7taV9+45YAj0qK5i84BoL +ssfuOh2JI9DnpcXBfkUsWP2m3yLiAvanq6qFqTdZ0KywUf9iPOajgnLSy1IW +dD6UmZF1kUBxoseW0rfxPMmKZG9eIpBqyIoCqGaB7OiK0ZoEAs24UNccUIP5 +e63z69NEAvHdHG9l32WBl+n9V2+ScH8bVda/vseCqbW8B73J+Hy1q8pkH7HA +yDG+bOgyrk80/nJJI95P+uRVUQrW94Orb/73jAVlY80XqVQCCUt22Ge3sKDS +PPiUWhqBxjfszXvVyoLX388f0kvHfik6VS/9mgW9SrJ+kEEg7xmPL5u+ZcHn +tl+bV2bivKTvtmBnJwssGUv7jVmY70Hbo1I+sWCni3ipTzaBujdPyH72mQXf +7MBo/1UCGbA9jnJ7WTCk2qcdmkOgjLIL1Px+zKdecvr5XAIF+tzz8/jJAunb +5ZLUPOwP6vInzg+wwCnjreh6PoG0BrI31g1ifMtOjlUWYH+oS/z9a5gFhLjk +98NrBLLdSq5QHcf7p/t9bbuO9fbU/G0OHDYIkwo7uwsJ5ERMgWN8NrxknXg1 +UITnade3V9dEbAh+++UZtxjnt20PDN9MYEP6sq6Hk29iP3V/vlpalg17lh28 +O72EQBqPZ+uZyLGhsfdqtc4tAikZDDR5kmz4t3R/+cJS7F8PV+rHyrMhZ+Pn +m9ZlBDJ6tWFtjRIbLsFo4bpyAv3JM1nYP40NWSNlBVsrcB5bJ9uppMIGr8QZ +eXtuE8il/Z+NlTobWrWNco5V4vzorbQ3YCYb3heNZp+twnyqP+9+ZRYbck33 +ZydVY/8gT0oezWHD95dXs3MR5ucXudC/89iwOCz2atkdAk1UX1+hYsCGo06m +uQ01BNoZfvDGigVsULLPym+pJZBM1gX//QvZ4Huw+fqHOpzf5jX1ppqyYbj9 +bvGPuxj/s8vmPDZjg+yRY2Xj9fh8Fkr6f5eywd9DXC1zD+vdQ99hZSs2JMa7 +3FW6T6BDRzaetFnOhqTppx5pPcD5Nlrq5Z6VbGgZC3tu9JBA/82/8CXRng3F +C106LB7hectRqbm7hg2vXsl1r35MoHydx5v61rEh4V3aD9cnWH8Pl1RSzmy4 +b0eN7mjE/Pg69t50Mxum6/qJA5/i8+jXP9jmiv8fmEtFNmG/VJu9/4wHG5rM +nqtdeobzxhO7Lzc92bDi0Bf97GYCER2rZ3T4sOHe7B/mJc8J9Kl5zVSePxtS +131dU9eC82fcnjfau9iwcLR927MXOP+HNXrYB2D+TKs/8O4l1jOXsOv79rEh +oDzvdF8rgRKPVN5JOsgGzWfRqSNtBHKzOBNfe4QNrz0OlUq14/vLREWDniA2 +xOzybpR/TSBGEnRh4nE2fPqzpVujA+vn07fV+ifZYP3LlWXwBueljU4FTqfw ++T12K5q/JZBdosj9yGk2rLc6b2D/DuvdT9k3KVFsiE14YL/lPYG2mJ2eXh/D +BmNn+R1+nXj+zl7W/BLHhlMhQacPfSDQuoKtf2Qu4XonCfLDP2L/chmLmJfE +hpujuY8vfMLzkhz2ec0VNnhY/tef0UWgSkpVen8aG9Z+8pAr7iYQy7X3z6VM +jHfLEcOazwRas5Z7tfIqGx7L1jo/7SFQjn2oyrs8Nvw9YxT85gte74px51xn +w+flb672fiWQs7eNr9oNjDdT/myol0Dp5+8tsixhg7L7kxFRH4GMj81u8Sxj +w8/8qTPpfgKtOHveIPw2G9zlc9eof8f3O2L65pxqNlRdPBCs/4NAr6Z9Wfmw +hg1yWpGFZj+xnzRJRL13cX8rP71f9YtAJe7l4dL32VBuGy7Z/BvPz63h5tmP +8PkeH7D0HcB68WCgy7YR1zO//ODBPzjvp9XX+D5jw779K66H/SWQrHSkZ2QL +G2xOG3bHDWL+/3JvyW1lQ6bn/ukZ/zB//2yXftjOhgkj5PobQwTqeH1H+ssb +NjCmcufvDGM9cwh5Iepkw50ZO582juD6vj721vzEhqKLehPfjBLIxKq63uIz +G4biN67oHcPz1hzwzf0rGybL/Tg9NI7vbxzpN8f62PDnz89GEZtE86xS4y// +YEOK8VYJzSHRNMJxauVvNrg9tHFS55Io56CZ76u/bFiSlJmszyNR7qfjJ/4O +sWHOlUNdZnwSbdu9yJsYY4N33SNdOwGJuvecoOexOUAMJR7cLCTR8uzDUSt4 +HCid21/vKyJRlwfz3FvIAZ5TPXFITKIXKV86T0hxoHOzuke4FIk2zkm4nSLD +gZ/6sjcvTCCRJ9/ftXISB+7cDRVmSpPoxODRplYJB+w5Z52LZUg0pf2b9G+K +A9YvtQtrJpLot9dziawi3l9vk6hJlkTfney6tKbi78dnur6dRKILiwKPL1Xm +gKrOuYpvk0lUf+tg32ZVDuzIjKdH5Ejk4uSmdkCDA+PrlvwnRZDo3nl7jRgt +DuzROfdcnsT1d3j8zpvNgZlyYQaaFIlSq0rP1OtywOOHVrwBjfFw8x54q8eB +3psHRszlSeQ1PWbmPwMOGNocdHNQwHivcJgpZ4zrjZ/zwEWRRJ3Ta39rL+KA +xamL+juUSOQbzz5jznAgQlyVfGQKiVZ0af12XsIBg/HkCZFTSdRr5KQZYMGB +g2uYg5em4Xq8szUjrfD5fqR8yZ5OIr+9hgNpyzngVX1/4y1lEh32mRZVsZID +KzLKnt6dQSL++KHBZ/b4fxEBls9VSCSU2j7nyxoOXHEarexUJVH1CaEe24kD +G3+vNfqhRqLxDl+uvDPGx+J40bg6iVoHS1LnbMb46YXpTtQk0eB69iQLVw5k +XdlaMGUmiS4Wey539uBA397purO0SGRwlO+4y5MDwZdKC421cb/t/8w+6cOB +3O/6hlazSDT/mGNzoh8HFm0+f3vtbBKJ9ppaFe3kgPq910u36pBIPvlRRMMe +DmTITWrcM4dECxYpJb/eywE0Y55zsC6JzmZZHP1xgAP/tS3piZqL8ZDz1BUc +4cC8qVYHLs8j0ZPkSwWKQRygn5pPKNAj0eX9wyNzQjiwvGXB5dv6JNqcmK5o +HsoBZ1ltg4fzSbRmXqFwXTgH8l0UH7cZkGgfuajOJxL3O1fa87MhiRo9XewC +z3Lgw1Mu968RibZONM47F80B2xucFL4xie7fe/cyPZYDgfrSZoQJicT/7W6+ +Fc+BVD3VDyoLScStFV1+kIDxPWdzct4iEh27XGXSkcwB+bkndGAxiWwCCzL7 +UzjwsK+lZaUpidbr/upkZ3AgOZ8J2sSQaIt9Vr8kmwNC27uzfQH3b+6nR+q5 +HDC66t1+0IxEFvkNB40KOBCZrhsZvoREad+8/lkVciB8iiITb06ihfs/WG0o +5kB1/6zfmUtJlFhj7739Fgcujnjm3rQgUZDKkw2HyznwXbnJo84S979s99TT +lRwIMvFRbl5GInJkfWES4kCehuGb91Yk2vEqiSqo5cCrGqPk79YkCrjttKKq +Htf/dZfLuA2JzKrSHZ/cx/0N7FabaEuioy8SdN884sD1tQlfp6wgUYeOU/u3 +Rg4sto8qnrUS60XyL6fRZxx4YH3/qMkqErXPDcuWfsGBfiXrFdZ2GN9u3QdK +bRyANLmpTvYkKtrBq9J+zYGa8pn92xxIVFox/bjxWw6sXHym9r/VJAqPTJhi +1Yn7ybe8dHwNiR6nnDu59hMHlvQ57IlxxHqSqXTX4zMHZJturUxdS6K6Tatb +dn/lgFbYvtmF60hka+1QGtTHAd1v56WRE4luSOv5n/nBgRNtcv1P1pMoREX6 +b8JvPJ8av5s7NpDooPWQw9W/WC/yFlb0OmP9CiSDS4Y48Ghpb/rwRqwHMfuO +145y4FKD6JzUZtzv+8YbnrK4YCpz/qjCFhKNBv7H7eBy4fa3qJ0zXTAej8yD +egRcuAYcDyNXEl3Vrno6IObC2Y4v6y3dsN48H/3NluHCk4QVDo7uJHpWofRN +ZhIXfBx0Vnh4kMjObl6ZgoQLE1ojbfZsxfq8c916dYoLp7k7bIK3kSjLOuvx +XAUu0LkvbM95kii52phaNIUL9en19le8SNTwUVN/2XQuJNebrb/mjfmRcUrN +QYUL1l027lU+eJ1/6MtGdS7MaPu44/F2Ek3KmHzCcyYXnAPkjr72JZH5Ps/f +u2bh9dMvor76kcjRLHbB4TlcUBvUzxjyx/5Sd8M+dB4XOsN1bot3kmhXQjsT +NZ8L7VR9i/wuEu2NV+deMuKC9B7WT83dGN/5OQlpJlzYuvvtJKM9JPq7KFic +v5gLpZ+36lkGkChz8K5tCXBhy9W4tY7/kUiNPrO12pwL6ScDjnjsJdHrCb9W +37PkQthaTtaefVgfnGTkm6y5IOxZ0hy8n0S3FAcK22y5kDfZmBN9gERLf9bM +6FzFhdbUbv2Ug3geJp/1/OLAhW5/e6/rhzC/e3aF/HTkwuNlBy5XHybRu/CQ +/4acuLB63LXtyRES6Vq/XszZyIWf2yZSbwKxvjqefy3ewgVHu2OO346SiHWt +1n6yGxcuRlZeGAki0Rm34CT5rVw42Xv39YRgEn199rl6uhcXjMyS1JRCsN7d +nVimsZ0Ls5wtd2gfJ9FOPelwHX8uJErV3TY+QaINkn+683dxYWy6gox1KIn2 +hHzLNwnggvl2KxenkyTymcLmmu3jwpzba0o8w7Dfvluuu+wgrrcTZPeFk8j9 +yie9FUe4YJwvuz30FIl0Rj7JrA7ignpv7f3YCBI5dXggpxAu/PFzmZURSaLt +Tw7YbA7lwn3257PFp0mkHbcozz2cC1p7N/2tPYP5dq3uk1ckPs/FWtfmsySC +j1p//c5ywcBkamNnFIkMg0Pe7Y7mwnYNP+bnORLJ6Pek7Ivlgmh2SRE7hkRy +IbsXHo7nQoX88MzJ50kk3WKYH5TABSg3TVWOJVFK2Iq/x5O58LYjZNrcOBI1 +jz1WCE/hQq3d4yTmAokUQxuJ0+lcIN5NVV4VT6K4q96fo7K4kO+0P2PzRfz9 +xhvnz+dwYfbJtzr+l0h0nFenEJ/PBd6CtWVHEvD8VhftS7jOhVyjt8tOJ5JI +hXOhIPkGF2wdjrQlJuF523WyKqWECzdW6/vnJZPo+X8JWelluN9CnuD2ZTyf +sl+8s25z4ZLJzysPr2C8V57i51RzYdotFtOeQqJQiDmYV8OFOiu9d19SSeRW +onS/4C4XWsrDjw+lkcj6ssmP6/ewPrSKZ0tlYP0QC38VPcR6sP3mC4VMEp3L +vvCk+AkXxHD2uFYWPq8D93hJE56H6ZcMjLNJpNHhIil9zoXh5609Vldx/yc0 +HC57ifupvTLFKYdEq6JtUfkrLmj3jDh75ZKoapHoTUUHFz63dyvsz8P9Pj7p +xe13XBh4OLn9ZD7WH9XD2ZUfuCAJOXL5QgGJjhS4OlZ1cSH6gY5n1jWcn268 +fF3Vw4WY7ep6t66T6FrGb9PqXqwHup6shkISnVJrPFTdz4WHbwaaXhSRSCrv +SEz1Ty5ELHme2XUD57GjVGj1ABdCVPlH/xTjfDD9+urqQS6wbSI2CEpIVNjs +MlI1zAWvQG9j6haJPg+aBlWNceF5WKqSRin2B4Hr20o2D0LmGbMNy3B+4nYo +VPJ4YANzv1iUk0h/4X3d20Ie1Bw+9cKxAuP1d+GMCiketBXY1G+9jZ/9lveV +yfCgO2lP2X+VWG+OylwoncQDk8mi6yeqsN6FxSvdkvBgvFEqJ7Ya68lhzuGb +FA98UwKzMhDOl5tcS28o8MDddlv2zTskKrZ9+LRwCg+iL9Tl3a3B/g9r716b +zoMm68TillrMJ7Z8XL4KD85pfa/+VEci+paGea46D9RHa54M3MX+Ixf/KHsm +D/gR9Ht+A+b34DG9zFk8mHPx+x/yHs4fzFBA2hwe5Hyzm6RxH+tPG3X+yjwe +mK5cqGP4gET/rfp2Nmk+Pk9Q0QrLh1h/dsZ4XTLiwZTlZbvWPiJR7L9p0y6Y +8MBht8PFbY9JtPtkxvWYxTyQvx1Ut/cJzltokXIU8CDmm+Wv0EaM34wh30hz +HnQ8zFK/8BT7/4lfcWGWPPiplOmc1YT54myafNwar6cujb31DPv9QH9wkC0P +lqmHPmtoxvMweZrF4VU8aPD0k7Q+x3mP9ebjPgceyOqOrvvcgv1vqYXbHkfc +P2bBlcEXJHpKe1f6O/FgyaYZvaJWEl0ntvzxduZBlW3FQoU2/L7fIpmtm3nQ +3yQ6q/WKRIFeFMfFlQf3r0t3GbeTaNNyTssGDx7I5N8Hm9cYj31kqKMnD26d +WnJ5QwfOizJbSTsfHoDMQfb2NySKtBWE2PjxQHNwt+eht3i+1Sc2Lt3Jg7GJ +c5si3pHoZO+5f6Z7eDCBLDZNfE+igaZMjvFeHhx8zL6e14nzSIHrF70DPLAe +VlKv/IDvU4kvr88+zIMSV37y44/YX+9OXatxlAcRtUjxzSd8/h9Wr6YH8+DQ +B7uEvi4STVb3X6xwggd+x0unj3djPvmlHpUL48Fnr6Es2R6cN1yGrkyI4IHt +aoX5yl+w/xhGpPDO8EBfIF839yuJWmK8j41G8aDd/N86s168v1cO/InhweEn +1f3237C/Wbu97YvjgYaXf4RbH/Yfo8xN3Rd5MPxMOGtPP4kmZJ+qeJuI+fL0 +zJOQ7zgfB6v9e3mZBwmqgr3nf5DIe1kY9TSVB1NP75yR8RP7y5MHknsZPPj1 +5OnTm79IVBHD+lGdzYOLOVrH63+TyNXEtOBWLub7+yMLXw7g/TbEL79WwINW +g6d/uv+QaPY81fuZhTwQeKmWDP7F98sbvzSSi3kQanzwgPgfiT4MTd0ae4sH +V7e/BMUhrGflJSGR5Riv6sXSs4YxvobPgkMqMZ8GrrUvHMF+/uq420HEg9rG +uddsR0nE+9epsquWB6oTa0M3jZFoljy7zrOeBwW7vN38x0k0Z+Uvi833efCp +XGPJURaFRLJPstc84kFezqh6FJtCLqEZvTaNPNjN/iGTwqHQvp7Tk82e8SDy +KHeokEuhvX4JtFELD059MvpSw6PQfr/OsdmtPMj6FfWmmU8hxcq9DSrtmH8+ +k19+FFDIrNh3l/wbHsiJbzcPCCmkub51ROY95kdUzHOBmELstsfe3I88mHTn +UhstRaGcKa6lg108GFj/vHPmBArN18z8/K2HB/uVzL8bS+P/swuHOnt5sOlu +D3u5DIV+Z8b2vezngR39kN44kULJXK+6Rz95sKCpZ56fLIUKfi48fGeAB4lF +VnaBkyiUt1WdKhnkwbRDX3afnUyhSWYLonOGeTD9S9PFK3IUOuQe9j15jAfL +q9l3CyUUOuanNS+GzYffZYd/1xAUqtXSXXOSx4e1Fy1mPicptCQtf/0hIR9G +p2xx+URRqHluqdkOKT785T5K/ENTyK/LTdpdhg/uMmc7hAoUyp1zp2ztJD5c +GMxRUVCkUEJal7WNhA8njqv4aitRCLS6by+m+LBo52DZwikUGpv+Qm6eAh8S +DupKr5hKoauODcvVpvChyu2B2+ZpFJKf9sSTns6HPd0PK3dMp5DepLFtUip8 +8G4wnHpMmULTy32sR9X4kH1H5lj0DApti9SU/a7Jh5rzq3vSVCjk9XVZaac2 +HwLGpdbeVKXQW4+3S1t0+LASGTbUq1HI14R9s2EuHybEtS1qVafQU8EdUbk+ +HxYwf0p6NCi0tXUe5BnyQevgWYNhTfy/OZ7OycZ8yORnl0prUWi2e8CGqEV8 ++HN5CUzTptCXRN/FwQwfPIVuj3RnUWj5PHdewBI+nB0SbTKbTaEsZvu1rRZ8 +SDUy+emgQ6GLdLzpOis+fD88GOExh0LTxkcKrZbzISPMUnuvLoVcn+eJTVby +YZaC5uOTcyl05FW5xSx7PsT0JgZcnIfx2W+ybcoaPgyjHOVcPQpJg+l2mXV8 +uLZmddNtfQotvNi2Zmw9Hwq2Xgx9Mp9Ch4Onq/Zv5MNI4VF4Z4Dxf6/y4u0W +Pjz5Kxr/YUgh1q0/fk/dMB4DRjXcBRTaMqPgC9rKh2pP2VOkMYVOvHG2LfTC ++MpEr9U0odBNviQmZTsfTDNqNI0XUsjfqavqnD8+z9e0UZtFFJrR/rnx2C4+ +oMsLWjcuphBtplO/K4APZYEht/xN8fm861Nc9/HhkuXJhCCGQsvUGtzsD2L8 +b1oejwYKHZi+RGx2hA/2YXW70s0oFOlkEzs3iA+tR7geJUso9ND1p0A5BPNn +tcD5njmFnF7abpYNxf1qaFz7aimFWhJ8E8bC+HA8zm1drwWFLhh6VH2L4MOq +o3c2jllS6K+nZcPrM3yYw/Rvm2SF8U1UL3l4jg/s833/qVhT6Fw0EVF+ng// +LawJn29DoZEX6pZXL/DB8JdvquVyCs2a5Nt94RKuZ/+PaidbCr0J+ecfmsQH +q1MOnT4rKGTX9e51wBU+CD9Fi4+sxPOYPn+eexofrlveNDi7ikL1ikJf+0w+ +TPO7vS3FjkIeQz6nmat8+ErmJt6wp1CR2+5YnTw+3BwLeXnXAc9ni+5xpWt8 +ID5Z062rKWR76+Z6cREfnoeOO39ZQ6EdzhT1t5gPkSlZGSOOFBocdS/7eIsP +934u/T1xHYUaFAvNn5XjeV3watkMJwpptMnerK7E/dL1uaK/nkKVodEy+YgP +A3F/Ry02YD2zW77iUi3Wg1knXJycKbTynG3AyXo+pOeQ93w2Uih2c3ZwwH0+ +nHmWO//IJlxv8879ro/4kO9ik3l2M54fw1LHlY18eC/3e0rqFgoR56IUFz7D +fMrMjS92wfOgKN2g2cKHT217FBpcsb6+W+RMtPJhmc+qy21u+P/P5r9kteP+ +kWbave4UUuELFn7r+L8+LS8f86DQ97Sa0LZ3fHC7sWvV5G1YzxIPl9/9wIfi +GSU9qp4U2vDY4kVhFx/6UpTCDb0o9Gnp3FdJPXyo+5GuY+1NIZmhFfXhvXxY +3LjmpbMPhV7cuX7pv34+aAzqhPpvp1Bqks8615+YT9r6Jsd8Mb8MT4/YDvBh +l6rnrxg/Cp2N1T61YBDzOeVRYaY/hbQj1rDUhvnwz23bf2U7ML9eTtkiO8aH +cTUj00c7KfTOJTZziCWACZlm0m93Ueh9SeOLT1wBfE4Le/tjN97vdUf/U4EA +4l5PLOUFUMhxY9OPCrEAbCa+jKX/w3iPV7zOlBYA/++H/dp78X4e166fkxVA +9ZoFrov3UchtUaXfYTkBPPn0YqXdfqx3yn8lnqQAbL1qzNwPUCilxz/NXl4A +rpdGjfcepFBcp8GURUoC0DKJMAo/RKHLbzcFakwTgKbA3yTxMIVWLxi8P2mG +AE7ezl5y7QiFipuo8SFVAQQpmdrVBOL5+/Vg6icNAaS9n+vechT7i0BDo1FL +AOaPQw59DsJ6nm4sXzZbAHcTjS8OH8P42dO/U3UFEDXR8fbEEAo5nHlaFqkn +gPXvWz/OOE4hw5N7vfcaCOBic4OcwQkKHW1X5LosEEB9mpqlVSjG59GTUOuF ++LyTfgY6n8Tz/C7tt56pAKa06VX6h1Fo/fJc2ylmAgiv6GEFh1Oobu+fM/yl ++P97FWxiT1GoNDGuos9SAJX36+KzIyi0XTnp2UtrASzb09dbEUmh60ZKz5Gt +AOboXbRsPI39nVBBV1cJIPFuQ0bnGQrpqNbGRTsIIKD3sNSfsxSasFLW6ZCj +AAq3VgSIz1GIkpfneTgJIPX7iY9ToinUdrjvkq2zAFbbvl0/N4ZCEdFpUww2 +4/4tePDc/DyFmpKtwqe6CqB5t7XjulgKad3pe8f3wO/f3tLuE0ehDJks1b5t +uJ/Nsp6BFyjUGBRs/8JbAGf3bxw8F4/9ZV20T5WvABx9rM5mXKRQmX+3f+YO +AYR5vZhVdgn7wd3ozWd2C6BAT/zkUQL2q4QM473/CSA/7MN/7xIpZFEwl7V5 +vwDUtL1UfyfhfqpYFFkcEkD3i4svhJexH776tUonUAC5Kw+dVbpCIYWMFW3E +MQEk28uu1E2hkGew+8qREMzXy05y5qnYH1dYXvsQKoDTg+tfr02j0ICscORB +uADeTqHyfNJxHtpXMr8oEvf30dljgRk4D7luXX/xrADE9+5vjM6kkE2+mk9Q +tADsG+sXZ2ZRqMKY7+kZKwCdtHC18mwKyWbRdivjBdDOJSc/uYr9osZX3SAB +z0/hdm5nDoU2bSK7lZIFQPpHDQ/kUsiIUInlpAhgaPDEP3E+5lNpmm5PmgCs +JatGpxZQaOd4TkljJp7HwD6B3jWsP25W2iVXBSA1tI2yvE6h/tbIU4l5eP6s +KmZtKMT6VhH2MviaAO5p9Vn6F1Fo7TPbyd5FAmjbwvEKvkEh76oeo1U3BZCQ +O3QmrphCn6mdyw1KBbDxSVtFzk2sP/B9uVKFAJLCU/uqSrD/jx00ZlcJ4H7y +Os3mWxRqzVYmupEANjcOb+0uxXng44/2R7UC0Og4lzNchvGeNx5VVC+ApvAp +A7IVFAqXWq8ffx/P74VkC7XbWB/rZWuPPBLAaL1i4oJKCj1jzQf3Rtyf9phB +2yoKnZ/8IsfqmQBa46SdXaspNOwt4M5pEUBn+cna/xDWF68WK0kr5oOUSO/U +HYznztWHB18JoN8yKjO5hkJfP0UldXQIoEhfdcaNWgrdU03Oq3kngPfRtSkN +dRgv54irWR8EsEIzYObruxh/Ze/zkV0CyLphdPN7PYWM9y/z29UjgPShSVb8 +ezh/NRrOX9srAJ9qznuF+xSqdlzWY9IvgJ462aA5D3De3RweOf2nAEyemKib +P8TzSctM4w1gfieHPl33CPMpozPp818BbPo3cMz3MYVC3RSlHw8JgEiNMD72 +hEJz19d5FY4KQGajzd/YRgotbfp+I5YlBIOv8ytynlJI7va1bwe4QpguWXmi +ugnrSehkarNACIkX4h2fP8N8/Keus0QshAeL6Nk9zRSq8h3V05AWQm79I9HY +c6yfHVmaUrJC8PlX8VXuBc5XWwwm9E0WwtyL3c81X2I9+nKzo4kQQoKPQ92i +VgqpxRhfvkkLYYreeJl9G4WCw56uuqgoBJ3i7ze3vaKQfsip/sNThVB3U6v0 +UDuFXhbtC3RRFkL6cB6Keo359DdrxFxVCJdsjjRmdFDIx2yWj6aGEIY8kz6W +v6GQQcLkBiktIXTLT2I9fYvvL0U+kr5Z+H2V1hmf3uF+XrNc1TRHCPtsBq2H +3uP+rbp5sHieEBas3bNf9gP2v4T62AvzhRAwwTZf7SOF+gxPXTloJIS3uic+ +G3+iEJo2KWGTiRDOhs/QXtWF+zvd6wQsFsLBN6q7PbopdOZvyhZVEELD7zPo +wGcKCf57rCUwF0JG9FbybA/2n+ChD58thFAUmLMz/QvOIw0Lzjy0EoLjUZdn +ZV8pNP79wsyC5ULQdT5l0thLoR/vNG9ErRSCaZv21Y/fcJ6dO6izx14Itmjp +tKE+rM8l8hcd1whh5ctXF2W/Y358iP9ttE4IWZ/6ldR/YP+6FgaKG4RwoSg0 +3eQnvk/t/3t4ZKMQIvmp+na/KHRSY+Dqmy1CYGUuvb/1N4Xa4VwDchPCO+dd +Ww8N4PuibXtL6lYh9PRpi879wXrE+fD8uJcQBJoBhZl/cT6svVW3bbsQwh+t +cr09SKF/ft4ZVv5CuJiF6Gf/8Pp64T7tXUKICLr/vHsI51GpFGPpACFMU/aL +Hx3GejLF8tu3vUL4sLLATTKK9YEQRDcewPi0nNXXGsN6t+G7ZuFhzK8jxARm +nEKjEcS16KNCWCfL9Kxh0WhAHKwZECyEzDVyT3zYNBrXszrneALjTZ0rC+LQ +KDd2b69hGP7f9KrcOC6NTkVPMZaPEEKSUWJ6Ho9G945Y7/t3Gp9fe056DZ9G +3oPSWa+ihDAb7c1pFdBIV7T3XkWMEILq9t/qE9Lot8P59sQ4IeizjR7yxDRa +KLvv3ZGLQgiF4k+KUjTKStJ5uTlRCJtW/BLMm0Cj5xYN1cxlIbj//DNnmTSN +9nqvvqScKgT/oTubNsnQaM2899vYGRi/ueti9kykUYhMkHpnFq7XpawxXJZG +RyXMi5ocIWxe81XuyiQasfJ0DqTlC+F5a//Gksk04gxumHj8uhBcyu7nP5Kj +kcGyF7EeN4RQdecQ/4OERpNKCmQtSoTQViny+EfQqP/kr0PqZXjeD+65L0vh +etpvvOLfFsLDmioDDZpGAb1js7qqhLDK41v2Inka1dZ/2FF/RwhWsziqqxVo +9D13V2ZmHdaDj+Np3oo0upx3qzG0QQg5m3pmBSnRyKmt7uu2B0KY4H6nPG4K +jZS8s4csHwvBu+aUXf5UGv1ZsWtE46kQwNrqW+00GqUXzvkhaBYCcXck6tV0 +Gl0/19/a1SKEn9zchT+UaTRvYu2N+lYhNDY7fhOq4P4plx7LbBdCE4eVOU2V +RvF3OpaEvhGC9Za8rQZqNOqUMf+79b0QftzaNNtWnUYfO/8kW3zE+LVTQ24a +NGrwFJmodwthR/yrJwc0abTOJvQe74sQNlTl5kTNpNGPmqM2H3uFYDPl9Oks +LRo9SOei2n6sd8eO7avSplH7Q2WttJ9C4FRFeLXMolGgUdeJ4AEhrEgpcOmd +TaPkd24vXAeF4Dfcu4U7h0YRgRmKZsNC2JlovU1Rl0Yz2ZUOymNCeLWmYc+8 +uTR6wZQGjrNEID/gFWY1j0b+UzOT33BFcHfFvPQtejRqWx9bVCkQAX+uasNe +fRqt6DhfnigWwX1fsx+n59No07EbJYekRbCx5YxKhgGNivvHMzfIioBYONH5 +tiHmx3hYhLGcCB7uqLnUbIT57LPJQ54UgZlFwfsvC2g0PBox7y8tgu2nn+ty +TDD+vqq/WhRFkKa44ITCQhrtOaN3tXiqCFZXt7+fu4hGLn0Nq2OURTCwosbC +ajGNCl1//tylKoKjF/uubzGl0aU4FGqnIYLeAHfVfQyNGlXNZHW1RLDhhmrS +GaBRy73gSJnZItCZqTct04xGc2adH/s6RwRqWecyK5fQ6G5PyNYH80QwyLUw +bDHH/ClyuZM9XwTRcqse9y7FeIiM5U4aicAuq2g7zxLXn6fktNVEBMfidk+e +soxGWiI6xnyxCO4Vn6vSt6JRWp1x7QwQwfsXcnuWW9NoX0L05/ElIvjXNDjH +3YZGy7p1uW8sRDD7kOXPg8sxP+YrS25bieB11tjtaFsazZ21W/7SchG80lE7 +m7MC819nvmT/ShH0d5Z51aykUfO7AO5aexFMT6qxfrUK861oSY/+GhHE6pnp +/bTD8zgzr27yOtyPgwtUpBzwfEVWx/avx+/b5CqorMbznhSx8fFGEZw6kChv +soZGE1OnKeRuEUHh24nTHRwxfyaffBjmJoL61Xwdn7U0MnZs3rNtKz5/fvCS +4HU0avo1WW6plwgW1oVvueSE9UHBPnPGdhF475x6vGg9jZTXXZ477icCxVNw +/cEGGk1XnFD4eqcI0nsGPnQ606ggLFWzfI8I2jxh+vBGGs3SCjh/Ya8Ijneo +uEk24354nPkbcEAEWapX8mZtoZG717idw2HMP0nFmLkLjc6fabmie1QE9if3 +Om10pdGvqdO7pYMxvutaygLcaLTq7BfVL8cxX7a8UjntTqPy3xbrGk6KYPOB +sJgMDxrFXWOOpZ8SwdXAzglVW2kklO9KOXZaBP42XyNebKPR9qXLyjZHiaD1 +Voak35NGScd2NSyMEUFHCpEm9KaRl/qeR/JxImj6YGKi7EOjEfsN9wbiRRC6 +XqltwXYaWWkYVDxLwHi+KT1q74v5PDY541qyCHavoub4+NHo8Z+xE5EpIhg9 +afgx2J9GGRpSm73TRSC3dUpqwg4aXew207HMEoFP7QPP4p1Yz5cV/1LJEcGX +o0sNHu+iUcz6HYXjefj9/ZFSXbtplLDx2LbX10QA4RndY3vw+16DcmVFItA+ +F/2I/o9GkTGdJbE3RfDDb23Z3L00ogdWOOwuFcGT0V/51vuwnuZafVpZIYK5 +0/1z3PbT6N39dztmVYmg9HpDwaEDNPKwVfspvCOCmHPcivMHaXRs0wzfj7Ui ++HxFrTH/EI2m8Ls6UL0IZKp0vtYfppGGddCypPu43nszZN8dodF8+bHsA49E +sDeFu/BfII0+XPDjrG0UQY3mC3+5IMwf9Hq13jMR2CxKzJl1DPcnaH3SxBbc +z2qnvqXBNHL+++PNl5eYPzETTTaH0EjQdUO+4RXGMx6d3necRud25dukdYiA +vr6rJ+oE9kO/3oCj70Qw77baipxQGonHAy84fxBBbvLr0tqTmA+PdhcZdYlg +zDhxdkcYnveRlruSHhGc2bkt+084nr81JU39X0WgrG46e1IExuvBjBcP+0Rw +3USjVCuSRreXaDRn/RBB2fkZtuansb5daroX8lsEJZT+541naBR2bd6tLX9F +sD59U+TeszTq8FqTvHAI4z8jfUFUFI3+i1wWSI9ivd0j/nb1HM4DkxXW/RoX +wYHAqKu10dgfL72Y2cgRwx2NRf4dMTS6MOXMrxy+GJQcZBf+PU+jK1tX3AoV +ieHeJ+lJk+NoZG+tEuA2QQybGoy+aV+g0c2jitqmE8Wg2BH9bGk8zg9N5m0K +k8VAy8xAmy/SaDKZd2xAIga0+NPN/ZcwHiMuqk0UXl/beSM6gUbZi3ZW5SmI +gVysVJ6XSCOT6m6HsClimPwq+l59Ep6/KS3v3KeL4QJh+/ZdMubfmIUXoyKG +68+tx4Yu08hwjVWPoroYgjhn1ckUGvlm9Lj/0RSDS+g0R91U/P9ko9YmbTEs +sh6OtE7D8zUZLPN1xDBh/szH7uk0koufVBA2Vwy/dLPJwAwauT4tkfXQF8Nd +jcBt8ZnYn4/DdsZQDDac/OqiLBpZzqxAisZiSMszmvE4m0bLT86f9GehGOZO +mhHRfZVGdcbl65tMxdBO+46yczGfW9Yn5ZmJIa5Aaf+UPBqdHFZuP7lUDOer +9YYN8zE/YarEfZkY0g2LQ+0LcL5YvdHC1EYMoeOpir7XaDQ78+suhRViOCLg +3Aq9TqOdL1vjf68Sw2uj584phTifhc8rb3QQw8WgKeLbRTS6o819keMohtLH +HVUvbtAo3NW594STGPZJKx35UUwj85Rloy7OYsjXfmkuXUKjrSdaRIs2i8GS +IiWat/B6nJws7Yr7W/nyi1kp/t5cetJPdzEUTVR5uLGMRhajjRMebxOD7L8/ +N/aV00jit52T7S2GS9vXZ0RX0Gjs59dfwb5iKHS0vZx/G+Mrs+Xdph1i7GfP +Uu5VYr+a8qxhwW4xuNn1532oolH+U4ccyX9iMDPLQGPVNKry7DvZtw/zxefv +a4U7NDriUeRy/6AYHlR+ZhvUYP7Ny5uffkQMN2Yd1rWrxXxa0MM9GiSG7xnF +W7fX0ehW194n60PEkDMtNj30Lo1m5Ludnx8qBn6Ycm9KPY1KPpY5yoaLwev5 ++kWVDTSS+hQu9yVCDF1/zGNb7+H5Vnj3oO6MGOI73//5dR/nSeGDwMvnxPDm +lKGr7EPsN01r5hw8L4biD0ufaz+iUd7L021rLohh1ntZO8vHeP4ig4N0L4kh +c9+l565PaDS0HFSlksTwMqHb9Ugj1nOb53c+XhYDx3zob/xTGumwbTdWp4rh +kFtLXHETjZacKv55MUMMbf2HTJ8+o9FPF6UTAdlicH//ve9rM57f6tOSVbli +WKtjlC1soVHPF/lkrQIxeD6w91F9getf/ECNV4j5c83cgHlJI9MXBVlvbojB ++Lms2LkV+4fOc42yEjEozC37tLcN50G7ZakxZbifFUseRr+i0eZ4UtH/Nu6n +37WygnYaMc62Z6yqxbAeOIUPXmP/zxkcU6kRw+zZpoVdHTTilWn6jtaJIVZ7 +WznnLY16m7taXjaIQd/gyKNp72iUush8UdEDMQxZhHabvMf5S8nmcuRj/P26 +4xPWddKITBCNb3uK8XI/uGDPBxopfIpwNmsWg/227f5nP2L/V3hfrPRCDHs2 +bMjP/USjij3khD+tYvi80GagoQvfLwwNNz9tF0OqwNTyYzeNvvrZFeS8wesl +C66wemh00HbX8PH3YrhivZg79QuNTtzJsNjyUQwNFSt3GH+lUanBcKRxtxiq +pXZ+dOylkWN4YJPkixg056e77f6G867CYklfrxg2G/b1nOmjkWKTucO9fjHk +ydofzO2n0Ybmy2dSf2J9rGqU3PuO8WE23zs8IAaBuV/Jxx84X+hHjq8dFMPz +hNlu7F/YH68Yzp83LIbxe5Poab9plHLfZ9uEMTyPD6a0mAzgfHLMIO4TSwqi +UlYnrvtDoyjp9NpqrhQcXlnqG/AX50/n2r6LAilIe7bC8twg5uPOK3SAWApq +dWmtgn+YP/5WpiulpeC5J00+HKLRUrjnNlNWCjhH7KU+D+P6xDonOHJSYLL7 +nog/itfzQjJeE1LgYnN0ksoY5rt+W20JLQV/RQdmMONY37JN3kUpSkFKYenC +jSx5NPtH8ZDPVCm4aWW25QBbHv01c5RYKOP1Z2RkHEcebbaeqT1dVQpU1xjX +3ODKo4NqC5l/6lJw7VkBu4knj7i3Lzk0z5SCJ6sP2PTx5VGO3BqP/FlSsLMj +IXGCUB6RagEBJ+dIwdv/FAZniuTRynphiOs8qf9RcOXxUL1dnCKafUnmzh3K +Ei0kSqjUUZKQPbKV5UdpFSoiUdFqKSqi7ISQSkrFaRFKSioREkqbkhYl9D7v +n/OZe5/nnPPdzvwz8F3tp7vZRBHGfKMTFs5jAH7RfejDEOHL6FupCgYMSO54 +ujSKKULNsD+5X40YEPG77e45lggXP2gvqV/EgNMrVlnfZItwj1fw1ewlDPBo +1upu5YjwZE/DzT1LyXxyw/cOcUVYHvL9tvNy0l/NEg0Fvgh13vyo0TVngPGS +0Bd6AhGy2J11TEsGHKK1EmyFIkzquvHg7SoGOPi6OWydJMIoSerDalsGeGky +ph5TEOH9kkMPUxwY8Hjzwl8Fk0U4EHX8QZATA3abDD6vVRThNsc7datcGGBS +plv9ViRCzpDmfU130k/dSNl4sQiXbXx8R3odA6YlOZWo0CK8YFNT9cqLATYq +S68skYjwWNzkyvL/GBC9585dDyURwp/HV+LXM6Dkalt7mLIIz9mOlfhvZMDy +V7H/UqaI0N+/5PyyLQyQHu6cdW2qCPdx+jOVAhjQotLk9UJFhAyF2jNDgQw4 +4b0+84eqCFvmr0xs2sGA4Yc5HwXq5D6dyKNFIQzw3nrMWHeaCK2eheyPDiP9 +uqqcsdEQYc+nJWHrIhjglOkntVVThAep7kCjKAakOq4LODZdhD/NNm8UHmAA +O4bzsXCGCNtVP3n1xzBghvmuLfUzRbjdcZNL7WEGxBanDffNEuHl9D+2mccY +APVRxydoi7CqNss8LJ7UUzJDb9psEZ6ODYLVJxgQH3i6fZkOwTs2xFDnJANW +T29M8J4jwoyDVXMmJpPne59YR+mK0HyJ/YyeMwx4dCtrcoYe4Y8TqN46ywDL +OrP3VXNFqLLtJH06gwEWYrzbMU+EhlZrFbZnM2D7A37BiL4InSLyuZZ5pP+v +i5NpAxHq9+1hTCtgwNoMi+MLDEVIS3+R/VfEgM8/DJJcjERYFi8zrrWEAStk +GZkhCwj/NRrHLpUx4P6HuxWnF4pwf5TzyLErhF83Nry8ukiEk6YXD/tVMEAl +8e+4F8YinN/w6g9UMkDx6F6Dn4tFGMsZ+CO+Rb6/NbRjEohQ/syv4R/VDOCZ +rq+aayLCQ5/+jjTeYcCtBU08h6Wk/iaWVEENA07dNNwSuEyEO0v1ZfbXMcD6 +bUbzcVMRLnHdP9HjIQP8mlimZctFqDhrHM+gkQGbz+6temJG+PC2SpHfRPTp +N7J0YIUIG3n3p35qZoCWRUwTd6UIdxmrz6p5QfTmN3WjjoUIfSXv5qe3MqCp +9RHLxlKEpyaLTEPbGfDuzvHrW61EKGy+b+/wmgHzTbYFxK0i82gc89buZoB7 +sL9uiTXh4+WGYLm35L7w/SOPbEQ4p23RoTd9DJizG5v6bUWYPtH97I2PDDgS +p1bGthdh2MX5V072M6C9rfSMtgPxhzWtDdsGCN+jNsStchThgxDbvpXfGTCW +bXtsy2oR2l4+P179FwNe+W5KinUieO76ojL2m/jLhxt5xc7/96/ZS1/+ZYCu +4/K7j9aIkH0h+L9LY2R+dYyP/S4idJ/deOiYNBMSN3FpjpsIiyxXlPrJMCHI +28lptrsIv6/83AJyTNj/tDvV2kOEb3/Wj6MZTLjypuLT1rWE7zc+6/xkMcH6 +6svl8etEqNfque4xlwm2u8wLSz1FWEDNPV4gYMJvSwb1xEuES9O31exXYMJD +N5UTA94EL2W1EQ8RE1Y8TlDg/0f8Y8hF35BmQl+jW7aurwgXxk7dLlBmQuH+ +6IX2fiJ03bO/9PNUJngq8jsD1xO9/osbuK/GhA+XpY8mbhDhjPs28zI1mHB/ +v+vSK/5kvt+adofNYEJtmbLM840inDBX9d5qLSac9Ld78nOTCEMfWfHm6DCh +98XPvMlbRLjZZO06hh6pdxr3kMFWEZ755F3WO48JL/ZnBK3ZRvirs35CtQET +spWK/UMDRBgQt2ttygImTFAx3Hhmuwj7V2RcDzJmwoabpjtuBIrw66d+RWtg +wjrlF0fag0SYc3lz6PRlTODv/Fo4GizC95IZnePMmPB3MPG58k7ip/E6Zh3m +TNhec58Bu0SovupYWYUlE74oHbXwChGh6WPLqSesmeCj3Zu0L1SEkR67T2y2 +Y8Lxac8/ZO8WoVGQuvwKRyZ4GXqtrAkj+WbvFKXizITFyUcvvwsXoZKTZOyv +CxMmhzhPl48g/j64L+KFOxNimXX5M/aKcMz+1LiydUzYFdOlaxlJ+DLmfeSo +NxM0lXLub44SYe2cnwp+vky4LjPZL26fCC1MXXJhAxO2BhrxLu4n8wxLNaQ3 +kfPT+DVNBwg/oO7xzy1MWHkt88D3aILn208bnwQw4eroZ2uFgyKMyBAwioKY +UJP9S83gkAjzWs2Lo3cyYXr37fEuh4mftJ9x9AxlQvA3uy+7j4jQ4+8kqYXh +ZJ6Mwp60oyKcHni3VGEvE5T8HvVUHROhX84ln4EoJlxaXP2lK1aEybe/0A8P +MGF94z6Z8fEi7FA98DL3IMHXhp42LYHgxd6bEnmECfljR21XHBfhjjuf1rrF +MiF88ssY/xMkv5NeTJ+fwIT05nF1RxNF+OOS5RAvkQldgdxJJUnEH4OdH3w6 +yYRbutKbnpwUoUhtQtb9ZCZ8XPWqYfCUCBeN+kRkpjKhRDbTSCFZhNGae9aF +n2PCpOTVZQYpRB9Ka5c7ZzJho+nIXNczhF/dgjl6OUzYaZF8OzyV+Ofj/Cns +fCYc+6jlmp5G/GT6jEnvC5jw1PfW6O2zJN+F2ey7Fwheo1YXes+RPHqtwjpX +yoSA752+chkinHivjBt6iQnmR3bOnJkpwrT+tSLHcsInGcVhqyySJ1f1NXSu +MaEx7+6zbdkiHJm51Ihxg3y+vLfyRI4IxSUJdm9vMeFCgHVRea4IDzhrb0Nk +gr3q3PyXeSJ86qt+IvUuE/Q5uiV/80UYPhRVufM+0cduS1QuEOGUcPv3dvVM +UCuJ7jApJH4+mElrNzCh7Gu3rG+RCOOiwh3lHzNh7kE/o0MXRGh36suJniYm +3LspDCkqFqGlSKal6hkThK39txtLCF821E8908IEh2m/Jw+WitDrkkXAjjYm +RH7S36VQRvKAnVRj20He31HYbXhJhN/Ky6ZqdTHhF8fFxf0y8edHpVFyPUxI +G7f81d4rIpwZe+Z991smnEnbviG7nPgfO2J11XsmGM/olqq9SvL6hF9dyicm +NPxMyflYIcIETU+THV+YUG6T5sC5LkLuxF1o+40JUtGf2XqVJO8XVyzX+kH8 +rDe2efUN0s9k7Sa5ISb03NyfE3qT8Dmx17vnDxNC1jZFnr0lwvrhD8NVI0zQ +o3ZvuF0lwooNK1PO/GMCe3GU29tqko89nMU7x7HAXvmjy8TbBJ9ysw92siz4 +xbzmo32H+N3HkTPa8ixY6fIlxO4u8Ycjxg4TmSyIc0lI2XFPhJIPkwRv2SyY +55lZk1IjwkAqvgV55Pnb6qO37hO/m3wtO03IgqomJeiuFWHd1LSdIZNZcPZd +fNyEehE6Llph60ixIH91xPuZD0TYdq5mzhwJCwJ2fF5l85D4yWo1EWsKC+rS +OqqCGkg+RG6e8F6FBTpqqxcmPyL7tF7x37vqLDji6XT3ZiPZH6O+DaVrsuBG +ca/Tm8ciPFq2/G/YTBY89hn/S7ZJhKXx5bJrtFmwtb08Y+ZT8n7wKsV5c1ig +GPjPyaZZhJ9XUHN4c1lwZm+PKPgZqdd5mu1nfRb4evq+S34uQp+9e3bVGbJg +Y8Ch6lsvROg9oJ2Xs5AFoSzbnO4Wsg9cX9oeuZgF2cerk+RaST7+qaU8TFhw +yKMtQatNhLoV9WuNTFlwszE72e6VCF9JOxYprGAB03TKhZ3tIpzVH/jv20oW +NEhsH6Z2EL89oefWaMUC6+tGv7CT7C8y6VWFNixQ2/1a691r4q8W92YctGdB +BJpuY74R4UbvkjSf1SwQfNl8a063CEv2+ivCGhbE+LopOvWI8Hqx9BmJGwsu +HxbuCesl+L3cp/7HgwXiquQvGW9Jfdw/V597kvfXf9l0/x3ZT8ID7C75kPs/ +KP781Ef2ixk/v8f5sYAuFB3hfyB+OnLi3CZ/Fjhzf8w0+Ej4qeVkZ76ZBbV7 +i1vcP4nwzXkL1rRtLPDxNk/Y95nkzYHwx9KBLHimXOd4vl+Ekx8OnekMZkGO +0pxpjV+IXwXXbb2xiwW5tfulf3wl/hkzbJG8mwX6Mfc/UN9EmL3ojM6OPSyo +ufu3Y8kg8Sv/yxL7SBa8+6jR6fud7OtT7AU6+1nQ72f58egPsr967uOxYlhw +MXvzuEs/CZ9n2yp+OET4zY7TePmL9JtWq3H/KOGH4LLT2BDxl8c/FmfHseDN +lNcn1P+I8PjunnWRxwmfshVeWQyT3z8v0g97JBG9sF11tv8VoXKX/s0Fp1nA +aCiNPz0iQrW0siHFMyzYYiseuTVKfo/1KS/6mcaCacyzwb1jIswaf+Tw03QW +nN+y8A9DikKlR2OvS7NYMPjh92FdaQo75x1eEptL7h98qbFmHIXXXPTPbzzP +goK/nY8jxlOoD1yxeRELNEI40bkyFG4uUz05rYQFVMdGswZZCif9C6PGl7Hg +RPqQ8PsECgeaNPK7LrPAW/9aPyVPIfjpLK66yoLWSRebYSKF889ndqZeZ4F5 +eXfNegaFNicOHwq9yYL5cQ734pgU/qW+L3SuZsEHxQmPy1kUJpp8/D3vDgui +Ho6+bWdTOOXv7mpBDQv2qS6eKMOl8KNLWfxALeHz6QeGs3gUFi1P8W98wAKV +nLxgez6FzvWLV114xIIFNc9vhgoo/NRdvODIE6L3nW78TCGFKv6DuhuaWRA0 +b2Fg3SQKH4aI5pq9YEFPeMjrrwoUyo/TWqzeSvzk0WQXRUXSX6+hw7h2FsTm +Uq8XiyjcZ2EZ2NXJgoH9B7b7URTelN2WWvWGBQ/fu/LixBT6a11sTOtlQbVj +xo1ymvQbJ2aF9RE+mK8J6pBQaG9d6eDykQVlK2IMZJXJPM1Scw36WeDerC2v +PYXC9t310pMHWKC5zf6t41QKx7+33fBjkAVa6UON4SoUem01bn36k9TbN7Um +R5XC15JUx7LfhA+NTbUNahR+aNjRFv+XBb0v2S0/1CnMPdi6cesYuS/25aBE +g0LNFU9lV0mzgROsTy/XpNBldFPRLBk23BdOt90yncLbKZfcGHJs2Pfz8vGT +Myg8xLw0+cNENoRltb++NZP6//9PtNey2OCck7vg3SwKfTcyi/O4bOiOFmRx +tCms4+w5FC1gg85TjckGswnfTrRs/U+BDdoK706t06EwPl3Dc5mIDSavHNQP +zaEwecFOd1WaDa/Lgqou6lJo4ffUR1qZDU80Vvq26lEYOWa2s2sqG47VtYjG +zaNwVLErsVqNDbEaaq0z9SlU3FVw85wGGzKfzM5zmE/hbNPSgT0z2GDtPLY3 +3IBC7oJRHQ8tNlBWJ/1yDSlM+C999yIdNnTAkEujEeFfQ+YTWo8NUKfpOrSA +wupFPL2/88h9O2aun7qIwo7sX+faDNgw1D4uaqUxhWFaXoqVC9igkXglP3Ax +heyzbqkpxmzw1F72KnUJhanN32aGAhvGL71E1wCFa1/p3F+zjA0V62X9v5hQ +OKtIZYuhGRs69eGu4jIKCyc3TxGtZEO/qd9ME1PCF0PbziFLNuRqh53buJzg +9zbnfIs1GxIP75uSZEb4KuiIqLBjw8/BvcW3VpB558t4nXZkw1+ZXeZ95oSP +WZo2u5zZYOS2aYBnQfD8aLfS2ZUN34575i6wJPVvjLcx8GBDlJnr+v+siD4W +fvZS9GRD8mT3+XGrKJRhBUcOeZN6M/wF16wpPDCiV9TiywapAzF/39hQeOT9 +vO6KDWxI9bz6jWlHYfjN6GnJm9ggbBn5oW9PYdY63R0hW9mQf8hD1tOB8OXX +sqY129lQqtiuesSRwtPL6o2MgtnwQCN81ZXVFH7VelRC7WLDRheT6E4nCp9m +uc0ZDmWDjKPOA/k1RC/3Iqvawtmw5cZKyVwXwg9rc5cbe9ngqp8U5uFKYY1t +lVTaPjZM2iB4f9CNnFfw5Up4NBsGhmu9LrlT+Hvx2x0eh9hw+eS19+0eFMry +S5YtPsqG51194XLrKMyRX608JY7gEe2irOdJ+KzwTlbqOBuqZvMfuXtRmKe+ +ZbgrkQ0LYgSHD3pTOFnl19/bp9hwx8DL/pIPhaYqsYzsFKKfr1IzOv4j/Hlu +rHEgjQ1abj9Z8n5kHo6TbHzT2XBEc+mY3noKHQ5Kos2y2JAy/tOIxwbir07e +dZq5bNh27rv8YX8yn4ffRBPPs6E1f53qlY0Urjz/YufHQqKHJ3orX2+iMFpW +qfthMeH7g4A9jC0UKl994lp8kQ0RK5Sq9bdS+Ob+aFfcZTYYDC/keG0j/FS9 +GBxwlQ1XTz3ZeCyAwvyj3xXsr7NhVVPns4rthH+6z+7NvUnwW7fRqieQQpNO +jyiFajYs+rWziRNMIWd/muXQbTZYrpL/b8EOChvnpKm13mPDQ1pVxm8nhWZl +GybeqGVDDVVXdnwXhc+kOaNpD9iwW2ps860QMn/l5LGIR6S+w7X6H0IpVO0S +cLyesMF823SWQhjRq9+RWcuayflb1AcgnEJRIMN52gs27FpS/WbzHgr/jJ1L +kGtlQ3DWSFdyBIVOUxxffnjFhqmOXf339hK84/VnN3SyoUiwVf5bJIWrN9ic +KHnDBt2zBXOU9lEYk14sc7yX3H/5lN/K/RS6c92jg/rY5PeRUeGOAxTShX6T +nD6Seg8m/c2MptAqorXMsJ/gU3fBtTGGwsXO6EEPED2fja4dPkjhfjNN0dgg +0U+d6lLNwxTyV4jfdP1kQxD30AOHIxTazcy9dvc3qdfgumfkUVLP9+ZzeX/J +/RMqZYqPUThUeCnx8BgbTi2Lu9oaS6H1zFWnN0tzYPlVo50T4ik8sa60wEaG +A5aauGxuAoUX3d4+0JPjwLt106Z4HqdQ7e/wsAKDAz9nbJGPPUHy3XXE6A+L +A6W2qf+uJ1IoXPrzYDuXAynpl2X6kki+53zrrRZwYHbPdcVJpygsPjdqm63A +gaz3ZYYmpylsmDitIUbEAZOI9PVbkyn0/BPktJHmwLPAmJzUFKKXhb++rlLm +wNeTG7/WnaHw/MeKZF0VUt81G/NfqcQP3t6zVVDnAL/IqFTtLPELrRmiPxoc +cAYtdbtzFEoeDnxpn8EBA8tZ+RHpRF/5ms9RiwOu6QsML2SQfEhufZCjwwHg +r21pzaRw3CvBk0N6HNDfmXJALptCN/3XvZv1Sb05A0v0cyisrbOYaGfIgcCg +9RN9cinscvYy1l/IAdtK6TcJeRQel9OJohZzYLr93ftV+RQG9FQ/GwXy/aSL +lZ/Pk/4Lpxh2L+MA59XDm+JCCtsOuhbdN+PAzijxI/MiCtO3hc8uWsmB7J70 +TzsvUHh5xfHb8VYcsO5cJ8otprBVM/e/YBsO/LFe69BcQuGTP3cVXew5sHhS +epr0RQq/3fvTZryaA55sjR86ZRTqHbQvUV1D5iEecll7icKXJm3H5dw4sEoy +ufHYZaLnjrTozx4cGPoRY3vjCqlvS97hJk/yOWbVmw/lxJ+/jTt31YcD58u3 +RIoqSD9+VXdS/Uh9vp+0V1wjeXi/dyjSn+AT9uDDjusEP8V9xn6bObCxk3Ml +p5LkjVlWouU2Mv/gm8eab1AYF2I3PCeQA4PqLUHjbhH+FqZun7yDA7Navf11 +qwjfC4/9+buLzH+3zxbPagozXs058WY3B04Otu+NR+JnvYkLa/dwYKl2c0bV +bQpPvr3980Ik4ddkiyf9d/6/T9zHE/s54HNmOUfpHoVlOqVpITEciM2vd7Wq +Ifq1iTm89jAHFLTaysPuU3jl5JqDpsc4cFUxbEpRLfGH8XqnZsYT/rpePN1W +R+HVEOWrvBMc+P52jzLjAYUrlGb2/UriQGVR32Wjh8T/ZbxmdJzmACP9m7N/ +A4Xe1OPwu2c4kHk5nZHyiELbLZFvCs5ygNX582FdI/E32SjnhAwOsCf9Tv39 +mMLl7I7OndkcYFoV7p7eRGGlW8YujzwOqO/hbVjzlMJTyi0qpgUcqE+f/d+h +ZgpbfGI7Zl7ggHSx/LZrz4hfzHpcyC/lwKVzWYfePyf5EHL+8O8yDhRukyoT +tVDIc5i2+/UVDjTQGu/NX1K4W8o+/H4FB26kK84ObSX56bQgobiSA02/X+4r +aCN+FPaxPOkWBy5P2/qu9RXJH5et/WHIgdRpr9YwOsj5Fk/n+9zlAP5Wa1vQ +SfbRqaonLO5zQDXDauOm14Svshv/6dZzYETJZWJaF9kvZa9GUA0cmLJjVUXD +G6Lf5QKe9GMOmBdoB492k3367pHL75s44Fc9umR2L+FPyiz/J8848PfmbfG6 +t8RPnkrpXmvhwP7ze2QS3pH8Sp7MzGgjejysP4p9xE/Hhw4d7OBA+oZ+mcH3 +pF+Feb+2dZF5WRfQah+Jvj46yK3p4YCe2RYTx09kn8vunQnvODDH1Xhn9GeS +vzDoOf0DB8pOKVVe7afQlXm4gPeZ8E1ewH7/hcJd367I/PlC8L+lvI0aIPvY +3H2Bb75xILpmRZfFN5IflSOD9T84MF7nuGf4INkvn8+JuTTEAXnmv6/F3ync +GzlTK3WY6H/TybjXP0heDf/s3T9K9Om9ZhH/F9mfdNIvbpbiQuh4qz9Lh0ge +h+jFrx7PhdU+wTXBvylUuH4jcvEELkhOP8/I+0P8DFZEa07kwuiVoKMvhym8 +NfVNGo/Fhc3P7KMZIxTuiDlZ+4dDzmPvils0SuGLsADZHj4XFoX25m0dI/jO +jnBqmMSFfN30xox/FCa1PagsV+TCN7si2WYpMT496q2XLubC2E+Wlew4MY55 +2N06pMSFmAV1mQbjxbisINstcCoXco3fTNgoI0YNT1+2uxqpT9k9LE1WjE5F +WU+Xa3Dh7N9F/xoniHH6t/VFOjO48OLXwRPS8mJ0Vb19mtLiwgVdE/15E8W4 +bmfl6fE6pJ7GzX1+DDGmcT2L+nW5YPKNU5DCFCPTqOppyzwueFbN2t3AEuN6 ++TfsOwZc8HKrdf3HFmP6tWfuFxZwoeLLWws9rhibNuVWnzLmgkrGUQtfnhg3 ++KybHwVc+Hj6pksyX4zhyLm9aRkXDvwLD3koEKPR5ep1TmZcsJNuyhsTinHe +rgiByUoudNfd7NVVEKO2nnPrLCsuRO0z1fOdLMbLM52uTLbhwg63zfHJimI0 +yDuYLW3PBfN9hiMPRWKcmDWU99mRC7oaxSH/KDF+2H2pqsWZC0G7GmXm0mKs +2nnv4x1XLsTnZ2T4ScTon2M0q8SDC9XvNa3OKInx7lrlyBRPLqzcukGuUVmM +Mt0RHw74cMFjs99T6ali9LVYvz7AjwvRIo1ifRUxTv3e88fNnwu/zxed9lcV +Y8CYVOaKzVx47Pj3+Fk1MW5seuA+dxsXsh2ptCZ1MeYkrNKeEsiFrDcTr8pq +iFEq4KSAuYMLovlNr400CZ4PS1hDu7gAsUHU1uliPNObS/fs5kKJ2k/vrBlk +Pl0xSx7v4ULifNebL2aKUVVhbciNSC7MlsmfxtQi57cb3M/fzwX1htfnlmiL +Mctj6oykGC5UNspPD54txvt/1DIjD3NhySqN2+d1xHjupfXsLce44Htk0caO +OWI87l38xCWe8LfeRk2gJ8bcD5aHzE5wSd7999lsrhh3xs1fPfckF9Z5RtSE +zRPjkQuhBlOTyXxMs0ou6ouxu0BFh51K3l/6LP/tfDF2lSxYNHyWC1rZojKx +oRh/aDet7cvgwtqLQQ9sjMR4euu3U8+yuZB55cP3AwvE2H4lv/d2HhcK/0Zo +Vy4keHhLmZcWcGHOU4NdXxeJ0bRS7nbaBS7oxIia1BeLUU7pgc2RUi7s9Ju2 +0HWJGA2bHH7susSF2jve5fFA5u9QVuJbTur7/GxJjYkYG19+iXC4xgV5/ci2 +4aUEr+siX5MbXHjydUP0HFOit8CFXjpVXOBvTwS/5QSPWT5BSre50MCWYaWZ +iXFbaFoq8x7hm6S6r2mFGJWivrf+uc+FS9/rmuVWinHz8+DZ7+u5UPB52hNj +CzFWX9NKedHAhV2ebe1BlmJU26MprnlM+FPw8U+BlRjXXtledvkpF06puWl2 +rRLj62OK67Kec8Fw1hzfyTZi/J09Te34Sy4oK2+9bGUrRmmV86N7X3Hhpysl +2G8nxoTEoi9bO7nw0mR+1HV7MR51XvTL4w3h29x6qQEHMU556TdpVS+Z34kX +CRqrxThywGDloj4udKK3rocTwfdOZdKsj4SvaoHdic7k/D8jv8T9RL9TJ+Y8 +WEPwyGEEMAaIv0m0dkq7ijFOc+Dfn0EuKEa+XmPoRvQmVZn34Sfh52VNq23u +YpTEBP/X+psL16dOtM3zEGOIlZZR/V8uGOgd+q9jrRiTivvVr49xodeh4PAk +TzGan+lOfCbFg9TBgGpLLzGW573OsBrHg4LwHtn93mLcpBd8/d54HtBesh6V +PsRf9ud1LJLlgR7v1b1v/xH+14ezyyfwYMHfDcYz/MQYazdqri3Pg6Gky/c9 +14txqd3shNyJPHhuW+2ZvEGMNoqTe5SYPDiYncB84i/Gf7crTU6xeKA4XqtW +bpMYFa6pXuBweOD/7mTiks1iNJvuqHqQy4MNNU8Ddm0Ro5v56px/PB6kUH1r +S7cS/QRo6YUIyP0eLR5928R4qeP1wwEhD64zz2+Zsp30X79ju78CD05kesQ5 +B4pxd+QP1e7JPKhPG6mODxJj5UrvLlcRD9TCD4+rCxZj/saagmaKB4eq5Z2k +dopxUFl9rxXNA/P3EZWGu8T49eoBzxoJD0pDBnS2h4jRPqx/1WJlHij98Lpa +ECrGV7f+W1ExhQe81y2runcTvy4bsJqjwoPoaqdf4nAxfsw/vbZAlQeGkp5S +hz3ET36uC1dV54HKnqjdxyIIH17Y5KVO40HRpvlONXtJXmRsaZ+kyQN+4IRl +Y5FibMmpVo6bzoNq+hcY7CP+rWm1RW4mDxJ/TrQN2E/0tZOqi5zFA4dYs4CC +A2KMeK+tM6zFg7HtFzO7o8U4uTY+K2g2D87OteqlDxI9bFuu2q/Dgyc+yoar +D4nxsMLqEj9dHnxKmnU27jDR0/Qasy49HiS5hgjrjhA/7Ez95DKPB10rJ6ZK +HyN5d/l1WrM+mffv7rkLY8VY0nLKdZUBD5aOTewMjiN+mFurXmtI5vN9X0pJ +vBhnhoX8hQU8uB9g7/c+gdx3obSzciEPGII9pqonSD4cDGqcZ0z6C5Sb555I +9LXjwYOSxTxwmvNr3qkkMabWVDZPBx4wP6xa8eSkGAceWXzIMuGB5SLhJsZp +8v3HSKbSMh5QDy0yTJPJ52CfBadNeeBo8OddRIoYlzz5vYNvRvisrrbk+hmi +H4sVVUdX8OCK/qPz31MJ3larhRNWEv7yR9RmnyV+rTdjR6QF4cO6Kxc3nBPj +c9f6nmFLHljdH7bOThdj3ZRF63as4kHl1+axjgwxfuk92PfVmuAZY4qiLDHZ +/y6Hb7Ql9erbJTpkE37131V+a8eDUwVju+JyxDhr3O1H6xzIPI7bba3PFWPt +6YuH2xx50JtmvVMmX4wXVVLsVzsR/ocNxy85T/j8PXL6E2ceWLx2ubG7gOTX +vq1MSxfCr7Dtv8sLCR9mbPhb48oDXRmzFd+KxFjqEfwb3Al/dNrztYrF6Lc3 +ZdxND1LvJUPxhhLi5186KIN1PNBf4Xkuu5T0o2G++JInD+Jynee9vkj8+VDn +Nm1vcv4htXbxJTFyIvNLzvvwoLCo7qTTZZJvewqG1XwJHx5aep24Qp4f/OiQ +7seD9PyyxY3lYvReFFgp3sCDRWNj2owKMda0Lp99yp8HrgmGOmbXiL/obC7l +b+LB8qk+S/ddF2NMwSfj2M08YG/fv76qkuxHrQ9a5beSflecOzd8Q4zX2bz9 +B7bx4MKGa33zb4nxRP1tI6ntPAhLe7E0qIrwYc+70bBAHvwqHC0trRbj1bQD +j4eCCH899HQ+oxi3ZGWVBO3gwf69oTj9Dtm35Fekft3Jg9ftLT6+d8UomB9y +clMI4eMyeyrrHsG/bNHZvlAelET2d3XWiDF+8MwlnzAecPxKKulakle7Up6/ +DufB+nspeWvqxKhYtniCewSZ/9YrOSfrxShPHzd9uZcHZHksf/qA8M/kdIJj +FA+u/TzSwm0Q472Tzh+f7OPBjwhb1qpHYvyT9NJu1QEeOBetcTjSSPypfmpt +fTQPOh3OX6h9LMZxWfMtzA4SPdubimSbyH5YMvXVnUM8sD6ge2rpUzH+Cn4b +uuQI4XdNsEZkM5nHxqMaN4/y4Px3Qf2tZ2LsoKg3hrE82POVF/H3OTmfebKg +PI4HrSlBy41aCF4NspF6CTwYebZkyq6XYtR7vP2/0uM8cDmwm1neKsYDRa+d +tBJ5MD92OuN7G+nvzWrngiQeVDy3pnXbxVgg98pX4xThz/LBxds6yPxO7diX +fZoHMTWKO4o7iV/P1CqemsIDLbh369NrondT2XdnzxC8M0dEM9+IcXyYnDad +RvTyvCZmQzfRw2qjfclneXDpgbpcfo8YI/0z3yqk8yB+u/KZt70kH2zMnBMz +eFBeWbFE/R35fGB2Cy+LB2uSfw5594mRzvP0jcvmQfhY+53M92LUteqRZuWS ++XQHZnR9IPvz6M0Lh/N4EGl0M2HKJ5JX//3wlTtP8mHkVuLazwQv6QTt6ALi +B+p7Cs72izEl7NT48UU8iLow1tT+RYyz/TnvIy+QfuNXsCUDYlzgMdY2Vkzw +eOju5vaN1NO/uT28lAeea5fdPDNI+Hbf8/PwRR7cMJea0/ad6CGiixF6iQfj +jyVfpX6K0S5v0GDoMvHfmXxbl19ifPTrbNCOcpKXM7aNJA8RvXx+f+v7VR7k +xlbcePlbjOqr2iYHXuPBrLVfY0XDYnx4NiRi4DoP/LLpoDV/yb4U++DH1htk +nutNNiWPiDHq1ovQ/ps82HbFd+fLUeLfL7PZm6t4IEqOTRL9I/t0iOHFj9U8 +aJ5SVbNGisYA21Qv/9s8MHIbmZgiTeNk6WaV93d4MOq6yqt1HI3a+u8G/O6R +/NS9+pCSofFe4qvGtzU8yPi2cKWrLI1xjddv/FfLA9OyntYzE2icnnSwoqeO ++GnMpT2v5Gg8fdDyjvcDHkw/XDxPMpFGt9Ws9jcPeXD7aeuYO4PG21eeyHg9 +Ivm0Z1H7WSaNaTbpi7oaebAlr62hk0Xu/xixf90THgRuvP5kCodGUN7Z2tlE +8uN9R58nl8ZVF44uXtvMg3smqwRZPBp9zO9f6nhG8uA0y7aHTyOWas33eMGD +cWyVTHUhjarHauraW3gQWhsv6zeJxt6k0xvdW3nw6rPHnnwFcn58Ad3exgNh +boL8h8k0dqmNa3drJ3qntPNnimiUUTtf9KqD7AdBhi6bKRqDTbOOuL3mwbuu +CuUSMY2JBkMhr7oIXnEXh77SNOY/KN7p1s2D5ELNXl0lGu0rGva/6uHBVj/V +3iBlGq9Uu2a4veXB1++5Q+VTaJIpaxteveOBR0yF8u+pNBrOeC3n/p4He+3d +XRao0pjE67Fv/8CD33Ep+eFqNJ6fvr3Y/RP5Pih4YrU6jUq6CYodn3lgbzQY +Ia1B5vPT7LjHF+KftEjeVJP0Pz9N3PmV4O30KSdmOo1vak9dXvuN+JHm9tX1 +M2h8vMPY/fUgD7iNJRRrFo1HWKcnef7ggffRgm/WWjT22xW2d/3kQUKmX8dx +bRrn8CKueA3xYInjp/Zns2nU1abSun/zQPBh0YDiHBrZ2/cl+gzzoDjPU9FN +l+B9jvzk+kv09dzN/pwejUcz28p8R3lgVj03881cGr8tbnn5boz4aWn/+Gn6 +NKab3+JukOKDy/e43Rvm0ziYn+j0QZoP919KZC8YEPy0vIo3jueD5GJa9ldD +Gl3KtCZ9luHDzQdCp7kLaBxgjh7ZMoEPSWEHJbsW0tij0cr/KseH3YqjvyoX +0biivvZ8wEQ+rP0R+nbMmMZprx7bDDL48MN//PulS2isMfs9IZjFB+emc2Mx +QGN1z4rGn2w+7Im2m/HQhEaF5JrcXVw+xHZP3cBdRqOiSUjsHx6p10xww8GU +xro6v+gwAXmeN0s1eTmpVzE5dlTIh7bMgLPtZjT+Fgjz9irw4a/7ey0VcxrP +nutslFYk3+eefuK7ksYJhdLyB0R88O7ef6jQguAn3m83QcyHytBLjl8taXzS +4190iOZD5rPp+vNW0VjRf1OBqcSHfI/PM0KtaeRr70+IVebD1chxc6tsaFwQ +e5fmTeWDZVGA7Xg7GrePHag4ocKHWqtF+8ztabTY0eijoMaHO8831sU60Jj1 +JW9qsjofcq5JqzU7kvnZKHwRa/Bhgf+EEyInGqXSpjac1STneUQorHWm8UT1 +48qpM/jQxdxWnL2G6KNmRmX2TD6k93e4fHChcU2S/gMNLT7Qe56IddxoDJk/ +/LFAmw/6860Ggt1pXJQZIdHW4UPkKae2Sg8aT7bUr704hw/KSj9fSq2jsfZV +d9lcPT5wLLU/m3nSuOH8E4WKuXy4liUzKdaLRucFZ44s0OeD3PlI22ZvGpPz +zHhV8/kw1JWXSf1Ho+P79jwTQz5UPAuX8/Ql/JX9z7rGiA9zWfL78vxo9Jbp +mbByIR/MBNb8/vU0zv7t+aRhER8mBjmWz/Wn0e51b6HtYj4E3py6dfdGGq+2 +7Dj1bAkfBvZcW3h7E41TW8WJa0z48MtcRVl+C41rh9sy2pfywfqip4LNVpr8 +XrpV7WnKB1vzcJVT22jU6Kv72rucDzvzQ5d2BNC4pFVG138FH/b7rg1RDyT+ +oB2yv9+cD4/pOXc3BRE+jZvZt92CD52+P1QvBxO/DlRx/2XJB/+ui6eHd9Co +leDbvXsVH77P2KSydBeNHQGjof+s+VDQPR0Ph9A4c8GA6gFbPly88DWoKZTo +cfzyDnl7PkTNqllEhdG4/8u4glgHPqySKRV7hdP4nacbI1jNB4vOS+yCPTT+ +OfMi+LQTH3jeLxS+RZB+zw0HS9bwgbFgylyjSBptbXJiMl34MEWQ6BsVRaPy +nbYCDTc+/JdsUFy/j8bjs3M7i9z5YB4uYAgOkDwoY0zTXcuHF1tnhLtG02i0 +SbDn6jo+gNq+8dkxpL6cu+8WehF9W6tmfDpI8mTrNO/b3qSfXK79vMM0Hhhb +/NXsP/J8tw215wiNjIOKcQ2+fEi79f5nzVEa3Y2vLrZfzwf776/7OLE0HjJT +lX65gQ8nYeFX5zgad3d5P/fYyIey/6RYmfGEP0v23ujZxIc1U/UXf0wg+J+I +uOy/heCr/zp67gkaZVU23Pq6lQ/CjTI94YlknpOXte4I4MO5fYWr7ycRfV6b +LDeynQ9bV7R0cE/RGD7/o9m+ID58iEoIczlN3n91L1l+Bx+ujL6anZ1Mo8Gb +4pG4nURvB6uHPqeQeRy6EKgQwocnX+DF/FQaNUV1w6mhxO/G+z2ITKNxc4Pc +SdUwPgwmz3v24Czh41CgSUE4wX/fpe+T0ok/P+dJzYngw6ZTb6evy6CRee39 +k6t7+ZB6oTmoIJPGid3SV4yj+BB/bt+z71k0Sp/3Kbi3jw9HV/y2WJxD8spM +oczyAB8+HljQciiXzFNZ+eHTaDIvfZvQ5jzC38joIZeDfFBdsEhX+Tzxp1L7 ++W8O8SFoh9y/DQU0XmbGHtxwhA91D692Xy6kcU/3wk9fj/LBUc22fayInBfr +57UrlvidT+unlcUkr4ImfRyL48ObXWv4J0tIvrVaRcck8CHOotmqq5Tgr6k4 +l3OC6K3e5tysMhpPXdj9/WQi4Vtvs+yuS0QvbRH3lU7yIfio7/47l2nc9W/m +hdxTfEi8xFDklNM47kRMjnYyHw5b16PLVRqLupNLy1P40LM6PzK3gujF3f+R +cSofFt4udPp2jUavDf9Ga9KI3o60LjWuJPWGe5tYnyP+UGq0/PANGi0/ppx+ +kc4HP60mj+c3adynWSy1LpP4xbi8YypVNKoUZYf3ZZH80Ktq2lJN4+faA8yA +HD7w70zRrkQajXlrin/n8kGp/Mm5CXcI/96pe0fl86FF2KLhcJfGmJuDMxgF +fNjbZ1iTfo/Gn/x6mcRCPnguHAn9XEP8cHXpIH2BD8clmsuNamny+7P4e04x +H5afqdaIqaMxKL5ebnYpwb/moXJzPcmvUJZOxUXCt4t22lMf0rjTao8/XOLD +9O3O9lsayD4SqlZRf5noQ6kntvIR6e/ABJFDOR8aHw2/lntM6unXPtZ+lQ9j +aTnmq5/Q+AUyhX7XCF/y39VmNdGY/Xd9ydfrfChn1noMPCX705XD7qE3+HD2 +gyVj8TMaF79lK4+/xYdbPmGPjj4n+4jayOCxKj6on3PLb31B8vSn26vJyAes +Gjyt+ZLk48C8lozbfOjtN0vf0UrjwsK4dzPvEj2uXnvrbhvRA0nr8nt8UFNZ +Mshvp3E0pnvJkvuETxFfjT07aExo/HS4vpbo49yOjJJOgt/spD6Hej7cvdRC +jb6mcZ1Oz5rOB3yY9IUutHxD8mhHV8eGBpJXMeZ2Z7qJXx5P3Pn9ER+qrvhw +P/SQPJ8loxbxmA9eZUG9Bm+Jn3Qb9cg3kX3gWsSTmHeEv66LKhKfEr7KHW1+ +3kfjc2NhuvIzPpzoPNev/oHso+L7Zwqe8+FlBCoHfyT6LXUvnNfCB1etX353 +P9EoONX5qPol4aeW2X1BP403DjvIWrbxYfT+1UXeX2hcrnvX9sUrPiQvt35Q +9pXG93r6F706+NDxXbBN+huZz8oytf5Ost9MYc6yGyR5o7KkKKSLD0tFxmMZ +34nf7npnJtPNh/c6pe8HfhD+DJf8iu/hw6zK9R/hF40S94xK+i3xP9aW8ceH +yH3ed07kv+NDxt6auW9+07i6UbJ37ns+XN68K0x3mOSnacXe6g9kX9A53Bb1 +l0a90ylJlp+If2lI2z0dIfw4/PBWy2c+fC1726k6RuOjx45/fb4Qfc01PhD0 +j/iFsfGqga98yOJwTO5JSfBt4rHL4d/4cKFwrYLCOAk6pFrMnvid6HmbvrTf +eAlOpvfeOvmDD/Nrk2UqZCSIvbpeqr+IvyvHT5GfIMGuOxup0iGSR73K9i5y +Egw5pPtu4R/Cr0PWaYXyEtzDiqutG+bDxj3qY38nSjCfe+jW6hHCL8P8XauY +EqSjNOu6R8l+pdshn84i988M7tv2jw/nXzeUDbAlGPlpBz0qJQBedXjgUq4E +TybP++/IOAHcsfpukcSToILw2m1FGQG0yRksfMeX4DZD+Xm5sgKQDrReZiiU +oN1XrRt6cgIo4YDPkUnkPMFsZ5QXwHEfQWq7ggRNUoTy1gwBOP9++HG2ogRb +Vr999IopgJnOQfZRIgl6zyk6788WgByL+7SZkmCY1pbkIY4AZHNz/TVoCWZr +zD0bzRNA3SVjKlQiQTm2bIVQIICbtR1dD5XIfJs+vs0UCiAq5BgqT5GgZvDn +GXMUBNDiZntt+1QJ7m/l76+aLAA2c07dPRUJ3hnv881KJAAtFb0BRTUJFvT2 +Bb+iBMR/POZsUpegTth59kaanPen4lDVNAnq3bpw47dEADNGzf/wNUn9FSMR +B5UFIPo4eZ/vdAmaemU4T54qgCy/6WrXZ0hwS0368lwVAYyID7SzZknQvGPc +ynlqAjhbNqfEU0uCryuavO6qC0ChZV7yFW0JWnhOSrDXEMCJBafPyOsQfHuf +Nr/RFIA4dm25+xwJxq1Q0N4+QwCPoo6/v6grwZfJPalSswSwv3H+PNm5EvQZ +WT41QUsA/TNXJ7vMk6BjkGnllNkCmGj3fVKJvgTTuX3+pToC+DKiWDjOQIKS +MX2dJboCWN9f7+xsKMFNFkaMx3oCkO/hKl8wkuAu0Z/htfMEUJoxMCK1kOCx +a4/0V30BPP8U+GP1Igm+SWxU2msggK6jZ2WKjCU4//APG66RAHwsdmlLLZHg +ov1Dp9MXCODC9wnbVoMEXYte/9RZJICB1Q71hSYSdJ5S7o/GAig28VkktUyC +UpzI77ZLCH8OG9etNpXgghzzxDcggKXjP2wuWi7Bfp7iysClBP/ozTOlV0iQ +d/D7pPGmAqj/2CjlbC7BR3Pe/UpcLoBUjuLAhZWE305DX9RXCMDjseXvcZYE +H7HOaLm5AG6wgykXK4Jv3UmVFRYC2HfhlEPpKgn+S5rr/tJSANrHK/NkbSR4 +4Qav2H+VABZmvxO420rw1B79SX+tBRDYoJJ8yU6Cn1QLjx+zFcCqP4HzJzpI +sL535zRlewHMFb3pX+cowRqFnMelDgIYpoKqrq6WoMZvowST1QJQH9Q5z3aW +4JEOWN/sJACNU8pF/62R4FHWbUffNQL4N7q89oaLBFVb7qwZchFAh1rxiMBN +go1x1kGH3QRQKONmudFdgr8Obs6hPQRgl+50+baHBM8pTftcvFYAOj/z5lHr +JJh0LtICPAVgznB4HOApwabgg9VPvQRQ0eu1v85Lgn8+mVj6+gig81ib7VQf +CV7Zcq1/6D8B/GXfMwj5T4KWnt/zjvgJwGrHNMMnvqQf8d+dShsEcP6prP30 +9RKcznnpcdGf1GuwOTpyA/Gf5BNuyzYJYEnluqcv/SUIs+YGvNhM5hfQZ6i7 +iehf/06q/1YBWAcxrh/eLMHb08w7R7YJIPb1Y/vuLRJs2PDIIGG7ACTNiycs +3Eb8cLvrebUgAVzfurY5MUCC+veGdCqCBbDxuX7l5+0SlK8tbrTYKQCBdkPl +8iAJhg4fONC5SwDnzk5/fi5Ygu97o+0CQwUQZGc/8fcOwo+xa/oTwgh/dtg6 +2+2S4LpnGrpnwkn9RjOrC0OIHzxtWTY7QgANj9+BzG5S38lnW+7sFcDnTbHt +HmESvHZmWqlTFNHH8mknKsIJXjub5T7tE8DppHIvfoQEwy+827X3gACMTy23 +3LRXgqterP8njBFA0qF265pICVrtWXfu/EEB+F+I2jxlH9Gj8QtH48MC+GC6 +KCd0vwRv5T9TfXpEAIuShb+aD0hQ2tdHfv0xAaR94XjPjpHgdrmjsiOxAhiX +qP/+0EEJGqs6io/H/x+PuEM9hyS41LPWTOO4AJpHVZYtPiLBGX79R26cIOf7 +/VJMOSpBUVfjO9skAdR6C+V+HJNgyeZg13cnBeC6MpJnEyfB4svv3oadJvUG +m84rjCf82DT7MD+F4GGyPlD2uAR3LnQ0zT8jgO2cgQeeJ8h8Oz0VjdMEYLP4 +nfHNRKIfaY9xzWcFwNG3e6h4kvjROjtZ/3QBZLoYBgWdIv571WzqvwwBvFbI +1n98WoKskuUOJ7MEUP08WTArRYLfVJ3PzcoRwKCcCuPgGcKfW/ul7+SSPFJe +JulJlWCi3bPwNfkCGD06YeWSs8S/ztjxvp4n/KoLTEg9J0FtH5mb0YXE/yzj +B4fSiR52/twruSAAYaLPNsdMCT7O1na/XEz8VjI0oSyL+GlVua1FKcmH9XbX +2TkSnBV3yuPNRdLPcGjMxlwJ8n+93BdySQD3XUK21uYRvt+IRu4VAdBcx+3q +5yWY8CR3cn458Yu8SfFRBYQP45ZGL64QwLLi27WdhRJcpuXDenFNACbl3vSi +CxIcWyi4sKVSALfs/h1OKSbzmLTmP9mbxD+odOFQiQTfJRvrn70lgGc5K685 +XpRg69WHyvrVZF7xE0IulRH8nJgqj1AAKqEd9rzLElzsKrvI944A9kq/MN96 +heD36M620bsCqGwYcmkoJ3pOsbp5skYAh6IsYmZWEL5fK1KZXSuA8fXPHx26 +JkEj+kP6/TrSj03mnL7rEkxDtsG6BwJYe+dKyfIbEvxRpNo39FAAm58pmufc +lGDdyzkXEx4RvzF6OjKuSoLHbE1OzHhM9JT/qcGrWoIXKY/YO09IHrduuoYo +wfsLYjPdnhL/PepaPeWOBNfcbGv80Uz8Jqz6TcRdkn/XrBXinguAtSVrSuc9 +CboYDgZrtgjggRoz1Pi+BD3sGvvxJdHLeukvabUSXD7p817XNoLnuNiIkToJ +PrngOOvHKwFwb5fPdH8gwf9U+AOxHQJgBO8fvPGQ+EPezEbN1yS/+0ef04+I +HmwKa253CWD2eO3nYY0SrDVKeeHWLYBpsaKBV48l6JknJf2rRwChfnUai5ok +ODvvg2nCW8KnzaahaU8lGLDbI2tmnwB2RyX1jTQTfZr4UjXvyXwP4naP5yT/ +5jMK130k+4PvE8WqF4SfR1Y7Dn8SQLBMQ6vyS8LfEFvRyX4BPLS9UbG3VYJL +QOaXzlcB2BvllXW1kfyftLv/wYAArpYm1Zq0E/4b3hjzHSTzOh/3J6uDzO/H +kxnSPwg/JWkrZF5LcMWhe1vTfpL3ZWrKfLuIHyxNf2QwJIA9a/mGtW/IPrRt +o1nzbwF8m3m4bXqPBIOddFq3DgsgffO8lCO9JA/shqIZIyRfZtDBn98S/pc8 +tMobFcDBTcs3WfdJMBnLtZf+I/uB8Y2Ii+/J/Z+rpndKCcG45ECJ4CPZT6IH +jHePE8Lg44Lh4E8SZAw5bJksI4QpFXo+LZ/J/pg0ePWSLHk+TPO90ReSJ83P +xTZyQqAMEg6nfZVgJlsu5ZO8EBTkd6z4N0D88nK87iGGEEo5nSreg4QfhqG9 +6iwh6G9tFtV8l+AEmUdlt9lCcFnloTX9J5lfQlLKWq4QvJ/vdz/6i+jLozX1 +L08IR/VsCr4MSfBFU861ZIEQYpNqBfZ/JKgeKjWgP4l81v6ZXD4sQfumnybN +CkLo0etaSI1IsMMxriRAUQh6HQl/w0cJ344363MoIdxdz33ZNSbBj8zHLUVi +IbD4/zWZSikhZXckaaVECK7i033npZWweJCzuU9JCIfrLorZ45VQJspvbfQU +IQx7X9+4XUYJjySc2aSmIgSteddbnssqocKVK4m3Vcl5R655LZBTQpv4qhfr +1Mm8yqvl0+WVsKD89ryxaUJwn9jSMJ6hhE4dtcVpmqT+jgklG5hKOCGuzWTh +DCHcOup84RFLCTPCx39rnSmEVwFNtXocJVywxupGiJYQZPrDpZK5SsipqcpQ +nC2EAh9vp1GeEvqF/pd5VYfMf+GRem+BEgZorri1WlcIp9tHXOqESvg2IuDH +Dz0hcMvvyM1WUEILk49mSfOEMHle79PEyUropVl1Ze580m+D/40/ikr4fein +cbOBEFb8cLu9jiLPB6R2BxoJ4Yb63d4asRKG21/LEiwUgqAtf5qWRAkfbHCK +uLSI1JMoOHBCSQmFUXt32C8WwpZnTKk/ykr4NMj40OASIYyppKWsm6qEP+TP +XD1hIgQr2Qbb+ypKeFWULjV3mRBuMnKmaasp4aa9Tn7NpkLIva0lSlJXwnjW +g74gMyEcubl1+t9pSnjr6vjoSeZCoI8HOnlrKuE8W/bi8pVCKHwJWfXTyf3l +AwInSyGY63QzdWcqYX5vxfghKyHYz1uXmDxLCXvvbeYlW5P7jqChlDbBZyFl +ZGQrBLeXnJH1s5VQZ2ntnjY7Iay/b9/xWEcJ+5oiO8McCJ7SJ9sNdMn9b2zc +lFYL4Z5h5590PSWs91v8o8pJCL+nGOjLzyPv+zgVeK4RQvvm83EB+ko40JO5 +e5yrENa1LpjQOl8J27pnbshxE8Js1aFUE0MlnBv0d7uZB+Gf3DubQiMlfJah +lPx+rRBOWvFUhQuVMD04te2IpxASrkUIwhcRPCfsNdL2FoKHwgKVt8ak/61P +rzz2EYLpHEtr6yVK+PJeulWgL9FXW2VKBSih5qxvUgrrhZDYd3y8ylIlvFHx +pKligxAW67QePbJMCf+lmFe7bhRCwLEUvR+mSrjzt3f96CYhmHW8GvIwU8KJ +v2YMZGwRwvzxBa9qVyih4t38uabbhKDeM7FTd6USRp19l9gXIIRkX7l/qRaE +H3kDvKOBBJ+dhYsnWCnhntlPCmcHk3mNH0kLWKWEbKd4r6c7hGAhLSt+Za2E +6wMN9XfuEsK+/xrLl9sqYfTN59PEoULI1PAKuGhHnt+3fW7VbiFcNb2/knYg +9Y6bvNY7XAi9VROWxjgqYWHso9wJEUKoS57l8m21Er4KyWIU7RWCb6txvLuz +EjpPTj9mEyWErKNmvbVrlPDRrUezfuwTwv8orvJ4qr4vWkSmQt78vPfufWXO +N6TSaEsyD5UpQxRFQoZQKUOhFFIhKkQSCpGEVIdSMiWUKDIXzYQM8Tu/P/fn +3nvO3muvtfa+1o/NbFfbcdC9eq0vyRG4f6FOX9PsOWhH3EjV5iisxy/hqWKO +HNQa8b2s7wzWl9RT78A9HGS30KTxTLQMdEsTTn1OHFR+WGp+5XkZaFtS4G22 +F/dPX8+sJUYGOuX9Uiv24fw+/6kIipOB4NMBX+VdOciwQUmPE4/5alple3k/ +B/Ue+vGt+qIMwP09g/MHOKhG17TY/bIM6A1aX/R05yBWg0Xi0kQZsGDcd+g4 +yEGx8YJJJUky0BJxQn/7IQ5KWeJTYpeM+3ugcsd9Tw6ae3Pj14KrMtA7GxxM +eHPQGt8bRrevyUDxuefPYw9jv3E/Vm2aKgMvrdNVZ3w46Kf1Wts/aTKgeIda +6u6H+/m2V/zaDRmIequ2550/B3HCo7p0MmUgRGFablsAB6Ef/zV+uSkDU+PH +lxQHctDdhsHOC7cwf1IqKcRRDvKqeiC87rYM+HvXbow7xkF871yL7hycb9vt +U7PHsV+F1ZdF5smAtJrrsMcJDvIvltdWvSsD5p+FfTpOclDHg5r+tnzMl/0p +NINQDnLdcj/7RKEMNDPlukrDOOiq5PSZFUUycCfg/jO5Uxy0vi/rTEOxDAT+ +NK1LOI3xPf3k1pESGXi/YO6XYCTWQ8mOPtlSGWAoNK7zj+Kgo3oHN9c8lAGt +/udpfWfw+1OSD73KZWBrxQ+5ndHYPx5amNMeyUC2pmVj1TkOMti+VvhppQxc +6p5LUI/B+EXXf3B7IgM7DP6eyIjFetjDbpZCMnBNyChS+gLmZ5Zaf3mVDLzK +/5cfHo/1pk2jujyTgfCPspO/L3JQBKd9v0SNDDSqFTnvu4z5vjLk7YMXeN6Z +Ph9pScB+4UBzdaqVAecOp0TdJA6i3MyTFq3D8yU01rnkCgc9mNbrLq7HeHyz +NpFL4aCDrmOvHBqxX7bV2CZdxc/bHrcJv8bz8Ft/5OLrHJTgem/uXrMM6Pys +aD2aiutd/E7fvkUGDqdYbh1J46Df79ffE2qTgZ67FW/sb3CQR//QuntvZWDT +z4nwxgxcj86Xbrt2PM+VZHZp3+QgU2HDW0IdMrBHialXlIX5Zkw5f68T+/PT +ZbbLszlIZ7NVvP1HGeBWicYk3uag+79pD4S7cb7CIr2LczloQYrrVNEnGajz +otscz+MgZQ9DR8deGUh7p/Pj2x08704394j0y8CE3MVsp3zsR8uFIkoGZMBl +m2RYSwEHNYSNbncekoH73BfH9e5x0GTLTSWJL9g/bz1NKivCeHmtWFk2LAOo +QahN5T7W14lQM9evMpAUm6mRXsJBX6xQvNR3GTAeSC9eVspBqltHRyt/yMDq +N4stox5yUPt1IuDgL+xvuwdo02UctO2eNZ02KgMHI7RnvCo4SPBdekf1GMbb +afnCvkfY3w4urjw8jvGdSVG0fsxB+1uSn8hOYr555vvWPeEgixCn3ld/ZeBF +ndvHLYiDnj47sCJoGvvX6lb3+1UYH27FmRWzMhBRO0VTfIb7N+Uq3vJPBg7k +Dw5df477W+dXGDqP8RXPeC/9goPsJX/6qy6kQI/k2m9RL/G+Yjxo+0GAAr1f +C8jZWg56Oeu8J3oRBZ62UY/51nEQZHhFrBOmwAPBgNGheg6qbabVDy6mQGHp +u1iHRg6S5LhrJIhSQHWVnnFLEwdNiHlVbBWnwFxxnbJBM+bPNnWX3xIU8Ijx +XfnkDQf5WaCVN5ZS4LDoNgvNVg5S6ZWjm0tR4NIJk6S8Ng5ST/biz0lTQH1T +4hzxjoNGaDfN8mUo4HBTMfpKOwctpLRcc6BSYExKeu3SDg4S2SQsJkGnwPxn +W6HITg4aNzJOecSggGm82OTMBw5y/nbX8BCLAmYBauL+XRwUNbyWzZbF7wu/ +1Rnpxv61dHxJPYcCR8oFru3twf2VHiODefh7oee0jl7sz3WbbFRI/L3b8gcW +/bg/It35H/gUUHFWCawd4CCXpD65mBUUSAsY2g1D2J92Wj/dJE8BtrqTc9ln +vE8t1zv+XQHXT9yIVhvGfOipsE5TogD33f23OSN4vng9szRXocCdL1nbyG8c +tPiZx5EFqhQQGTv5LuU7xre28kHRfxRwTDA8v+wnB306VMNwUaNAqs8yl/O/ +OCgpPz6VokGBR6v6HReNclDPeeVtL1ZTYPLki+CTYxxkMpMmcXQNBU5IvKyc ++IP3l2XTE0rrKGAS/5PwmcD7Wou+4EctCqx8ZpQzPMlB1wwS1OM2UGBqX/9O +lyns5xe+hsMmCgRpPCe6pvF+Vbb7z+hmClz4OyltM8tBcr0jZ29pUyA8LFr+ +zT8O8v7vjratDgV8r57eYzyP97fH2QxxXQpcZf0ur1nARTavhmWebKNAUcdH +LRDgIo+AMHXf7RQ48GDHhwpBLhKaCPRdYUABywt2GWuEuGhLeEdruyEF+kwF +zt8T5qLVDiW2540pMPJhV7KKCBdxy2UWaJtSYKGS3atsUS6a+S1YN2pGAUKJ +4PLFuajO4GJptgXGq+1eUqoEF8UI19bY7aRAqyJ9NXMpF6VdKJlcakmBgwp7 +xhIkueiDsovJMysKpL+Lb5eS5qLx7T3PgmwosEqn4lPMMi7y19Las3I3BT4H +DoqLUrioMCCI3WtHwfs3xyGSykUfd+XNJDpQwDrZq3khnYti93XNGe2hgGtF +j3sIg4vWCXHkFjhjfcmckpthctGvOwHeD/ZSQLzeQfgom4v+/Rrr9HChwF/x +E+Ljsly0yyDLg9hPAX/hr5p+XC7y1LzMeXeAAlo/S0795HGR787GsfPuFCie +H/jjSXJR6yqn7zoeFLANjDo/wucip31WYn8PYT4kZm13X8FFLRGVRgVeFKBn +G8kPyeHvt2UUuB6mQMDYaWVXBS6SUpday/algOxr+119ilx0ZRmt940fxvdC +1w1nZS5SPvG08OwRCryMpch8UuEi9iZmpnYgBbarSOQ5qnLR0MyqsokgClTU +v97/8T8uig+RGs0/hs9777HdXo2LAi+9NN8fTIHGJ1+MO9W5SHV27xvZk5gv +o5aBu1djPEK/BbaFUODWSEXNe00uok/7Q0wYBXRWyG+wXctFr9cL/bftFAXi +iMzW9nVcNKmSrz17GvNj/4ZLNuu5aFHO0YCSSIx/6HRA+wYuYiYfee15hgLm +/76H2Gziogv9+aZy0RRAR4j89s1c5Bqi/qvrHAXCQlMX2GpzkZW3xMOkGArU +Vvocew9c9CPNONM8Duuv+RZ991Z8/9LZIpF4CgztM/jQoctFAW+Uh6ouYn7z +XZ/b6XFR8sDAluDLFJCoXtT6YTs+b8+6Ss1E7I9TaxY7GuB89q3a8yOJAhkR +gnu7DbnIcLxjRU4yBc7IH+txMuaihM3bpPZdpUDprczIXhOMj1cwIXudAhON +5y1czLjoYHKM1btUClz0AZ1Bcy46JhRZGJ9OgeMuDTZuO7hIvcf3P+MMCnwN +35gwvJOLzA46twjdxH55J2XikCUXaTQ5XkNZFFj3cjTkhxUX6R0Kig7Oxn77 +ZKeqrw0XvT1ecX1tDgW2hNUs/GOL+Wup+fZ3LgUiBWxmA+246M32UY38OxSo +3CLDmbbnogWFC0vd8ykwulrY9aQjF8n8OrxnRSEF7g5tfLPAiYtMDhut7LlH +AXBGrhHOXPTsUhrvejEFdhWmc0X2cdHLV8e0bEtwPz4Pzp13wfxIGg6klFLg +Dz9dSGo/F/3cN9PZ/JACS0LbNRIOcNHV4krX2HIKXOddi2K4c9EK2kaK0SMK +NKlOLEg9yEXtkhHDwo8pUN7+J4M8xEX31G8NPHuC87W4eTDbk4vWUu8KhSMK +XHmzxFbFm4tELbNNtlRTIDEZvO4d5qL5CxnlM88oQBnWz13ji/3F/45JeQ2u +R1xN4pEfFwWlvxEKeonPNxNKgiNcZNRADmq+okCBUNv2FwFc1Pcod2S0DuMX +ncM1CcLPiSBaUQPW37oLnJaj+P7yK+6HmyjgHJCga3uci1xcmL2qzRTIynse +3x3MRaEtomHf3lBg6faVQvtPchH/W6DenVYK/HzUfuNrCMb3tLe6x1sKXIts +dfEL4yKdI3O6Su1Yj+RKs6lwLtp9R/Pkl/cU0KT+cAo7zUUjS3ldtzspEDss +l7I4kosqrtS7uH3E+P/XMxUXhfuhaiCt0E2BrUeVTtHOclFWa+bg0CcKLN+3 +VCMtGuMdN9yT3YvxPX9NVP48F5nuUxZ066dA2dUukYIYLjpu52+iMEiB3Rt6 +V62N4yKJmJbKz0MUMGbfD3lygYsSZawtc77g/Macxrdf5KICcQmZgyMUkAr7 +c/n1Jdz/6wJTSt8okBd+0s42gYs+f9UX/vqdAtVPFxv2JnKRrPrIhrs/cT2L +bzh5XOEi3cTJJK/fFHihvCttLBn7k2sIa9UY7ofAf0Inr2K9vI+p+fWHAq89 +NycIX+eiWR315OIJ7K+mccbxqTjf/mOXjvylQGaMqgorHfuNdEDJ2mm8z7AU +V2fdwO+vUZ/7O0MBm2/nXP7L5KJPVysPP/pHAYXZfZVlNzF+ZXKiIfMYf6PH +m3VvcZHD1PE6WEiF113ZnxuzuYhVXXdfUJAKqtUrK2xzuCg9aXnNi0VUcBR1 +eNCfi+fLxOW5aGEqSNXrdHjf4SIFB2VnUxEqMOS+yk3f5SKRA+PDUmJUeLdh +/7XIAi7qvCB4vU2cCilrHq+XvsdFX/xcApOXUMF324KFqUVcJF+5/JiDJBX6 +r2/8rXgf+4/ArixCGn9/7ITYgxI8D//MTw4so4KybLOJTinm58b1R3IpVODU +65Y1PsTz8doSpjeNCtGtAyZ25VyU+/z8kAaDCsvPIrHPFVx04Gj1x0kmFVS2 +Dvz2r+QiRhSaqWRTwc/ZUWDhE+yHjxJ0T3Go8El//aa4p3i+fTMt0edRYa9L +ZDq7ios2j02bLiGpsHmF+crcai7Kr8qTauVTIWphVt/a59hflTxnk1dQAY5e +rH5eg/2EYybtJE+FRRJyDTtf4nmf7WQup0gFte2e8z21XHQ6t7D0qxIVDEuP +OByu4yKfDab6xSq4/t/G/f/qucjOUn/hMVUqaCbOX45pxPhL5A9or6LCkq2p +3uzXXHQrOPa3sDoVEm9o+Oc14/n0cFKhSYMK550aM9a3cNH3gekziZpUCF0d +PF3biuflymxpx7VUUGw3PGn7lov2VYnUrNCigrCEvvKXd9jP29Uzv62ngkNK +2MKj77lI4I5abslGKnwwWSQo0vn/eUbpPLGZCkHTn/5L/oD99+Y3TT1tKlSf +ICMVu7gox762fIkOFfRK3gmVd+N9ZMlD93dbqfDxzJIiwx4ucpau1UnfRoXV +g61Rnb14f3oppue+nQq9T9edOdTPRSey4vzUDajAXaZfPDuA598yl7ppQyqs +/SgpEjfERWORV0yeG1PhmNyNs7wvmP+XNk7FmmK8Z4Q0i4a56FXWnmYbcyoo ++JqL6X7F88peqoXcQYU/GefE337jouWmznNfd1JBv6BmndsPLrq8YI9VqSUV +LB8vvTD1k4suqTHbw6ypsPGfv3TMb+x3fhmnjW2pYJ0p+JQ7xkWPQ4TtaXZU +iP1cf6XoDxdtW2zr2GtPBYOlH65tm+Aiat2tc3cdqTCzR7u+fZKLbC/M9wU5 +UWGF4mL5Q1NcFMEOOKC7Fz9/AnfnpvF+iP+HJV2o0BE67Xhplouu9Y/+6HSl +Aq9x60b5OTzv3rL+ZB/A/ZZS3FYxj/m4KG2FvzsV2svKjpot5KEM+5gwbQ8q +kFsEO/oEeGjfh/HFEp6YTxza/qBFPFToMVLx3gvj0zkvKyHMQ3Pk8ZRbh6lg +teD1gozFPFQwWXLTzxfzk7wktVaUh9ZJ3unQ9qdCepuNSb0YDwmFeG5cEkCF +exX/lThL8NBOG9FXnYGY/8fkDCaW8JBO3cVTOUepQHtsJBIjyUOpojT3wONU ++LY+/w8pzUNd27OPbTtBhRd59kvKlvFQ0eOdD5eFUOF7s+tOMwoP6RWrkL2h +VGg80v5sgMpDsu46DwvDqTC5v3pvMJ2HnCHrWMhpKjw8rrlyGZOHVp9zdTeN +pIJc/KbluSweaim5dFr2DBVazg1vB1ke0qRq1389i/lmZYR/r3goWO649qNz +VDjb70U5zOOhA/aWPedicL2qLk+ESR7yX9OdbxeH79NYn5jG5yE/bcUc5Xgq +3J2dS167gocEp7a+nr6I9Z387FWTHA9ViWovr79Mhd2ySQpuCjzkMb8y61oi +FZqzIovnFXlINIKz0/MKFZqsMjySlXnorC6pujkF693ur7n6Soz/Z4M1S69R +wWsgZV+dKg+90Lzl8ek6FTpVEzNdVvHQ2O/tjffSqPAlcErynxoPyX/Y4njq +BhWeLH6Xl6SBnzelsiwzqWCyaoO/miYPvbtxREg+iwpvdNccrFvDQw+V2jh/ +b1Fhzc13Ma7reGi5c6NL3W0q7ChW7Z7T4qEKNd/267lUONpl6JiygYdqI5qP +Hr5DBbHkDWKam3io02dWf2s+FfY4Sg42beYh5XEhPWohFUoL278f1OahV/S5 +w1/uYf9m3FwhpIPxnB+vfVRMhWtK4dE3tvJQ4qM58wsl2J+Dw2U3beMhn3Al +IZdSKjjl3+9q1+Oh3kNnvqwto0KMm0Kjvz7mT63StFgF7ufubyOShjzk+Irc +8OkRFS5oLVt314iH6kvCcu4/psLjZzlFBiY8FNtto3f2KRXi0VO7QVMe6o8r +k3KsooLS7AGNU+Y8xF5TIqbxDN9vXKDF28FDLmsdVi+uwf597pZX5U4eyv9T +de7jCyokpzq82W3JQ59+TEgV11Lhuk+/y6QVD23Klnhxpo4KlycM5RJteMgk +hZLn2ECFMeUb1NW7ecjGkni8ugnjLzWh+caOhzpO68yLNmM937M/fdgB8yU/ +2qfnDRUu8XoXLN3DQxrhYtIPW6nwKyAp/64TDz2//7Yn9i0VKt+ejzbey0Pt +f2c/ubZTYcT9TcLIPh4ill5auqmDCi+dg15Hu/LQhifZnjIfqJAzEbte6QAP +5XabTI98xPgfkmutdcP82570sLobfy9idt39IA+1tSZkXe3BfOUxEkUO8ZDB +Absqvz4qyIokPM7xxP0RmFpiPIDrWd5CNfTmoYvXT51bPoT1/aEvdfgwD0Vq +iK6b/Yz5euOd1TlfXE99mszbYSowRx5vVvHnod/nrIiCrzj/DblWDUd4KCFS +2/HMdyoMsnJTvQIxvzu965x/UsGF3USVPMpDW2vG3Tb8psKDt4pP7h3jIc+D +Q2soY1SYGHmVtDOYhzIld2n++EMF90XV6X9O4HoXmrnUTuDnrWRHUggP8SKG +qzP/4v7KTG9dH8ZDLxdq7To5jf0wwr7rQzgPBbYYU2xnsV/9ss4JOY390Gad +8Oo53F+VfzfJSB7qkViitHQBDW5IOjU/j8L+4/npxPBCGpwPjVV1P8tDN2fR +whpBGvw9kPJI/BzOR/f5wxtCNPApv3y88DzuX/9M2onFNJj2i/XYFctDhw8e +f2grSoOOK1fOT8bx0K64nQvXiNNAYc2zrmvxPCT2N+mE9BIayDiTezEJUME+ +O6UfS2kgsfYZdfAyvj+ucHG9FA0udpXPRCfy0A3zXHrOMhqsjaTJrLrCQ+kB +drsjKTT47TJi35bMQz/evm3YR6PB8/Lt745dxX7u8J8fMGjwqWnTKd51Hjok +GGTIZdGA8afLqSaVhyzuV++cZdOg8tTGw4fSecjIf0VcJ4cG67oO3JPO4CF7 +i8KZMh4N5L19l5dl8pCTQ+C1KyQNXuZ41u7J4iH1hzFegctpECfqkS6UjfV9 +TsjPSg7nRw3OuXubh77OjOVoKtBg1+6i/l25PLTH6NAyihINKJ7cHTN5PCRS +EVIwpkyDRd9bf2Xe5aFlSTonW1fSoOt0f7VRAe6XysuQ+//RwLF3z8vRQh5K +G+Lfv6xGgxNPbeauFmF/V3BnHdGgQVrPJzfd+zxUvjuvxFIT4ycluuhbCfa3 +2dnwNWtpkMIfbEkoxXxI9D9F06LB4fHIts1lPFTzkCydXE+DYe9/Ip/Leahp +lMXp2EgDvRBHn/hHPHTni9/Dis00kJMtE9vwmIeydTdHXtemwUdD3vv+J1gv +FbFRITo0eC99630s4qEYgaOPnHVxP87YS2hV4/n4Q3KFrh5+v9bSv+8ZDy3S +OYjk9GmgM525JLaGh75/vRIvYkiDdGPbD+te8lD848KEr0Y0oI5HfeyrxXop +fN7QZEIDvpaOdFwdD5nnjWgVm2E8nFKOrW/A+b1c05FoQYONTzOog43YHxdX +5B/bSYPREs/B+Nc8dPro+VJHSxr8zJYY3vQGz7etT8Z0rGlwXSiBGG7hId3z +B/bL29JAy4gak9iG/fp8sri4HQ2yJjNVtr7jIakg96Gf9jToTTGf/9GO9Zk5 +Mt7mSAOxl6qLr3fgeb9j9YYKJxrQuRa6hh946Mtn6/vpe/H3+q/uT3zkIeOa +g3sjXWigNHHHNqubh8i9YdsO7aeB3aCYxs4erL//Ch12uNHAvfOv9oI+Hpoq +FctbdxDnl3X2VEE/Dx2LuL2Se4gG/rKNUw6DPFSncXVgkRcNNFZ03BL/zEOv +nSfffPWmQd7tp1EVX7D/Pmn90+KD671++frBEYzHwm2mFX74fkH3z4xvPOQ9 +7PAh4wgNjvabu9V+56F53dXp0YE0WL1jj+zRnzx0/PeHZN+jNJh3zxZW/M1D +pTWHancfp8HJHRvl34/y0K/iSdWtJ7B+N6oFn/3DQ+G3E14ph2D9OCcLrZ/g +IVRoc00mDJ8vfKZmeJKHXJ9b3ZwNp0HocclHV6fw/kDJ6h08jfVM1RsynsH+ +VmRj/TqSBj3rN+r/m8X6eBa5sPwMDZJ2CXUXzPFQcohuf2Y0DZ542lupLSDQ +T/XsmZjzNFiQXWQtupBAgqxnRkGxuN8sSf8+HIskFjbvvUCDzsSTeY8ECBQq +EB5rcpEGAUPC/xIECeTxyiR83WXMl94SD+9F+Pt9inf5iTQYdLo4pi9EoCxz +paVLr2A/08m+QgoT6BBj/+2pZBq8OvjPegbHszt/Bw1exfVX31B/u5hAO0r6 +Q99cp0G91lWFQhECRbzd8fRxGu5n1ZhWtCiBXPx2rM27QYMSy4f7XcQINGT+ +dyApkwbhv37kbxYnkKuOQ/3pLBpoJmdJMyQItJx+edgnmwarLPviR3EsW1ms +vScH+6NGsUrjEgLJc980GufRQECP23d7KYFkNi9KWH8X+9UttZJTkgTqkt53 +SaGABro+YxmOUgS6UbHgFfUeDQRf+dzRkiZQ/o6JdYuKsR7bi5tllhHIctb2 +0+h9GljWPZP+ieP48S1Pex/QwLw137tOhkAbvJ60Nz+kgYVK8OdbFAIJV39X +ROX4fqm1J8KpBPq2qb+48BENjj//stKRhs/XfhCQ/pgGxy6mTmnR8f1w3PfC +UxpMPd/TR2EQaEmBQXZoFcaneO3nXzj+T2IdxecZDe4XrxJpZBLI4o/9I+ca +GgSvsNTLZRHIQaDp2o6XNLh6qCAtko3ve33zwdZX2L9+G1D2yRLoI/FHRLMe +4yf3X/YWDoGq7r5NlGukwd5gd0s2l0CXtJwc6K9psMxbgPcXxw+ybjuIvqHB +txPCwm95OJ+WmqSZFpyPaqhoMUGgsjvNYj/aaOAsFqR0gSTQOqVPZT3vaGCS +9Xe/J59AK3eLZLS+p0H0xaVPDZcT6JmFy7MXnTQY8nqmqbAC841YTFR8pEFD +J/lykRyBuP/EHuZ34/pCNQP7cHyYFXU2o4cGbqLCW5E8gb48upCQ2IfnrXKG +cpoCgXy0tD9ED9DgwTUptROKBLrfc8chZIgGkyynnXZKBCplf2f4f8H+6Xnl +opYygT4cYkm5j9DAaPfz7zQVAoGO8VbHb3j+Ff06MI5jKfUrhTt/4H4ZK/xr +XUmgujaqrcEvGqgu8L9XrEog9VfdG7eM0mBncXfYxf8wPxtF7TX/0OCcQYC3 +zyoCNacWPFCeoEF2oc4xczXc/6kBY/IvDbZ2mmX8p06gklfPOYxpGuhX3R5a +okGgfV/2q0jOYj9xsTH8juOTuj1HhOdokPzc/VXDavz+gPH0v3nsR7+GDtzV +JJDSa/RofCEdnCc+kjFrCCTNsSn/LkiHtu9W04fWEmj+h/zYoBAdRMccfhmv +I5DocYOD3Yvp8Ebxn+BKLQIFTrSy20Xp0PRQZ43EegJtLesVaxanw8OmNRHf +cNwmfm7tqyV0SMsc+NWwgUCr9g2mVUvSIch7d3D+RgKNKUpsq5Smg71/+vK4 +Tbg/H2jypTJ0iP9bNey9GetpKVfvHpUOBcYNjeZbCHTGakNGHp0OVujVazVt +AqlaRmy4xaSDwb2an9JAIPGnFOkbbDq8Cq5XHcPxgz2L5K5x6ECJHopu08H5 +LvAMTOLR4cE2/qLSrQTqCXQVukTSoYQ8d/2KLoFGSoRbYpfTYVWK0q5j2/D9 +OYc+RsvR4bKyhKK9HoG+7727IkqBDjftN7M3byfQzFBv3iklXG9Z7UqePtaP +o9zhUBU6mLWVOyw0IFD3rwu+J1TpoK4ve6cfx7HdG4qPraLD2L0Z+gtDAgm4 +aasHqdNh3UOXmzlGBDoyWPrjyGo6KAo7m543JtCyqooRvzV0uG4xS/U2IZCi +i6uc7zo6ZJtv+2dhivVr3ph2eD0dRqt1BTXNsB9RJW28N9IhxUdYkW5OoEwz +XTOvzXQIl0s+NI3jvemnIzy16dBXsqipywL7a83w1CEdOoT9tTGv2kEgp6gL +BYd06SDyJvVn1k4CXSmIyzykRwcfub6Cs7v+r6+F7w7p08G/Xy3W05JAZs0L +DD0N6eA2n3jOwopA7Ke3ZzyN8X1HOLc1rbG/jUj+8DKlg+u21j6GDYHuhO4i +DpvTITLo2eZ/OH6cEHPJZwcd1nOmH/ba4v4GvN3mt4sOB4xP73ixm0Cp1gbr +jljRoZR7SOyOHdbzhfmDgTZ0+FDxuO+CPYEyIqhdR3fTgWd0pvOIA84vOys+ +2B7z5V/r792OBCoMfhkR4kiHiCX3FLX3EOh5dHJ5uBMdasoUQlc4Yf/x0lgV +uZcOsnr646LO2N/bCwfPutBh2zzr/E8cF4aodMXsx3hsLIS3e/FzTUS96EYH +8V1StEf7CBRUc/ZC4kE69OcYiWe4EEiOvGF09RAdqLc8iDOuWF9apH66F77/ +4Qkrr/14PtIVIrMOY35ax+btOoD9oL5hUZ4vHWIW5PI2uBEoOlD1RaE/Hd6t +/1hCuOP8rFxfPQigQ1zcao/FBwk0ejNmaWUQHbIuPtL+gWOT4qrE6mN0ONsV +tuatB4EkPnCdXgVj/cjEG1ceItDk9acezSfpYPdxPPymJ4GEvJ6WtYfSIeHz +k/fnvAjE71hv+CmcDlHfJs39vAl0KthI9vNpOuzPzf+8+zCBAhYv0fgZSYfi +/m/pOj54/m5KPTd5BuvXvfqoki/2w0Ga/IJzdBgU3+gn7UegJ+8SF4nG4Hpz +XWKmcLxCeK38sjg6rFlh+LLXn0AxXjLn2fF0OHrgL7/uCIG0ZIxWy12iw9e9 +IenFAQS6Tpvgrkqgwx3JL5uuBRJo983VZuuT8Hk+W2dOB+H8fnCrdJPpEBtz +tdPzKPZPs7Ygs6t02OD/r9PqGH5/mY/f7ut0+LXx6OyW4wTakr+0yDWNDrpC +DG3FYOw/VxpW+9ygg9/4cKb0CQJVOr6YDs6kg+WGGYUZHDdnMITPZuHzRXc3 +DZzEelnYY5WQTQf5G1JJTSF4v9BfP3Ijhw5vt64KLQslEGONzrP8PDps3VId +nRlGIO8SSm/FXdzPoXcPYsIx/+8269YW4H5cOS4YdIpAGrKXvr69R4flDyr8 +9p4mUL9E4Pv+Yjrk5WUJmkQQSDc3RWy0hA4nv+qVro0kkB+DdWrBQzpcGr1z +jowiUEgGRVuynA5c3YEwiTMEak3M1uE+osNHt9nkSRyfs/0erfqYDoFjC1v7 +zuLzrIUZm59iPw8TWNUUTaAJluQ3kyp8frF4fvk53L/1csKOz+ggtVrF9NZ5 +Ahk6HzjgVYP5+8Bb8mIMzk/7l0TISzq4j/WPnYglUF9qz1TcKzpcuZc87R6H +9eRopXqjng67H15dbnUB57Pb83ZRIx0edU5668QTqDNf1/3ZazrcG3/8UfUi +gdIMpw6/fUMH7a/TnqxLBLrqeufJ51Y6jGdX8hZfxvnKHrWcfovxlJUeH8Px +2KOT6kve06Fnu/D3ngQ8T1I7rYhOOjQq5y1uSiTQIjK/avVHOoS0iek9SiLQ +8ScyAfrddDhmu/ZWzhXMLwFVH/se7N+tGxSTkgmkcJZ+/3AfHQwPyTedTsHn +Tf/eHDFAh7Wmi6/4XiWQHuWDVMoQ9p/Cr6ecrhEoJf+3SsEX7OfNvRdNrxOI +fs/ywrMROvAnJ59tTCXQ3YXLN3Z8o4OG/yamchqBbB4Hr/r5A+vj+uOLjHQC +re876Sn0mw7XWqNVF9/A/H9gMMoeo0N+eOG3cRxHus8gjXHMT8bm1wMZ+Hzb +B+8NJ+nQJa3ztjUT7yPvE9fvncLz+ferueqbBHrtUdl/dIYOvluHjIuzcL8S +DNrj/2H+pmRVZtwi0K/vuym58zjfyzI7Lmbj5/JS16oWMoD/Tkc0/DaBchec +P9QpyABbqS2DPjkEqt0xEjkmxID0Kdqgcy6BdKZMRyREGMDc+UFkRx5+/8/b +ZHkxBgj2p1jo3CFQh0XmRZBggE7I3kr1uwRKWNnaZreUAdR5MOHnE0jy6dl9 +AVIM2GGov0CmAPuNTv+G+GUMaDQ8/V6wEPsRVXDPHQoD7kwIvv2DY16OSMML +GgOazd6PD97D/Q6mRPYxGKBhJ7mxvYhAn5fpR8+xGPCfcllWbTGBzitXvWdx +GPDrfa9GxX08D3xv+q/jMeBH9LXBOyUEule41M6SZEDZwT+VqQ/wfG5ZHuO7 +nAEGBTNlF0oJ5PhCUOyCHAMKklBH+EP8P5L8uvWuAgOIQzt5R8oItGZ/znCd +EgNiTqLoA+UE2mNbaDyswoAWRRZzdwXed6uFphf/xwDNN96Nxo9w/l8b/sir +MeDBQGP2lkoCvbSQ37Rdg4H/J7ffUn+M99ODq5v3azJgXGO4dsUTArk3Uosi +1zLgwNHn0oyneD+Q+9l9S4sBcVu+hIojvJ+p9+5+sYEBSXxXmXkcf61dwv+8 +iQHsev2G0Srs/8+S1oloM6D0S2beUDWe36ppV5V0GLBnTWRB5zPsn8u2Gxvr +MuDpkbn2pueYb/H3DL30GLDiCFfhWQ3m65f5xAv6DBgWG7/28AWet57WasWG +uD7mpbV3XxKowfcd460xA46fF5q8UYvrOZ5p/teUATctnboSXxEoj9rVxrZg +QLx/4fC5OgKxPufkaO9kgN8vIdmwegJVZyrWu1gyoKTL70hAA4FaGKGbzloz +YLeN8JhHI4GOKb+evWvLgIunm684N+H99MVGiRY7Bhy+1LvP+jWBhpd98Zh0 +wPg9MbQ0acb+zZhkcJwYkG3M9Nz6BvebH0PT3cuAy2ed87RaCJTsU+dy0IUB +3xtXSa5qxf4W+HZB/H4GOIRcuSrXhvmb2vy91I0BY8I5JrJvsT7PfFLuPsiA +9m5fOZl3+H+rTq5MyBPjdUZITqwdzzfll4mq3gwIjPU3Xvge8/f452dWPhj/ +qIbkvzg+kp63NcSPAaHLyCW/OvD8TdVcdvsIA5K7wnM+d2I8w3I1mgMZ8Pz6 +vMenD7ieo6pZU0cxX6TuWLZ//P+8HziwPJgBewUS97/uItDv12PHTU8ywMag +KfVlN4EMvoX0BIXieqvc/j39hOdzUd6VzHAGdNn6RZT1YP8qu3aj8TQDOgXm +NYp68f/4g8CZv5EMWP2UK5rXR6A5D+ecFWcZEJLcJ3yzH/O//uRti3MM+HzT +fuX1AQIpV4/9PRHDAN+F144lDuL+7f18PTeOAU0fin7EDeH9t+7k5XfxDJh0 +Lzp/9jP2J/2PHwUvM+DEcJ7FqS8EoiorHlNPxPzJKdx8YphAxn1R7k5XGDD9 +r3ln4AjO7wfnTmwKA0yMiHifr3hfHlmmU3mNAYemC8Y9vuH/pfjzyl9TGbAv +Ku70/u8EOnE33411gwFCvs3rnX8QiMNP/2uYyYAjBlEM+5+4P58iu45lMWDg +VhXP+heBlkqfpeVlM2DlfwnmO37j/bat/mZnDgOWXJTMMRkl0KeDQZHidxiQ +H62nZDCG/Wpj0aNN+Qyo6tZv1f2D/aU4fbt3IQPU9ilma4/j/+X9B+VvFDHA +/PffjI0TeD+d0LRvuc+ALQH1L9ZNEmgXW2lwUSkDoK+IovkX6/GR5/N1ZQxw +1XpyXm0K72dV8lMeFQzgnhZYqTqN93HVkNNpldjvOuLHlWYIVL/yqkvLE+yH +TsFf5GcJ5DaZkSJcxQC5rW2LVvwjkH5PpdzGZwx4X5lvRM7h/w3zZSI+NZhf +VFYFdx6/3/EKbr3Efpymskt2AYm0pMSbO19hvZX8obIWkuj5/X8PpBoYEFF9 +RoAhQCKNtFej25sYILBlkkETJNG9u0lRJ5sZcCbHajdlEX4+GuNb0sIATvyD +Z8uESBQU03b/axvWe5ySrbQwifTLEk2XtzPgmuFzmtRiEv179neLfQcDav2T +55eKkGglV/7s5Q8MsKovW7ZUlER3dm5XauhiQAdLy2KJGIk4i0/xhXoYIL9e +qUxCnETpEwuPbOnDfBZNN5KQINHS8R+cowOYz8F3F0ssIVHglC9RPMSAx+dd +f4ovJdFRyZLgb1+wv+t0LpSQxOc5d69S+MqA/fcJbQkp/Hwla/O+71j/C41v +S0iTKP51/M3UnwxIsPPcsGQZiQZqDrl0/GaA/tSVv0tkSKSS1XaC+gfPJ7ne +3qUUEoVSxn/umGDAP3X7CUkqrufTRGXcX9yPcOZaaRqJ/68FB+qnGaActipj +GZ1Evcbb94v+w/jl3ltHYZAoRuwL6M9jPkbcm6IySXTGSSYociETkrK3fqaz +SPQqdXTxc0EmCNw7voDFJpHL1ntjAsJMCDX31JOVJZFnU+CGrSJMeAYqpVwO +iYaGfT6GizHB3qR+J8klEWvfq44qCSaM6TuzV/Dw/SJ3NAQkmfCSNiepQJDI +aAQ+b5VmgkRumZoySaIUaunkaRkmWM/ePKnKJ9Hn6jWuNVQm+LLbJtSWk+ia +wdeVixlMmOY6XtdcQaKLSwV2GrKYcHXlLm8tORLtzrvVel6WCaeC6jw3yZMo +49HC4iYuEyqg/QookMhScut3aZIJie9if25TJJFd9KVIq+VMEEsUOGKoRCI5 +Pi84RQ7HQ4ZyZsokklhEaepSYMIcHBXcpUKiOcfUEL4yE2RVMpfariSR+KXP +MW4rmRCw7uN2R1USnZTkTd39jwlyizfe3fcfidyCfJ6NquHzDFu3uK8iEdVb +5JvWaib0lJfPeamRiNkg4x+6hglvVwh+81cn0ZaTT21frGNCzb7nwsc1SIQS +tFKXbGDCG7tl5mGrSXRE/S5YbWKCmoBATZTm/+vV103dgut3yHGPXUMiC3ut +W4OA8Q1mbUhYS6L+d3cO/KeLzwv1Wn9tHebvo9dngvSYYHyl9ECmFuZb8xuR +Kn0m6MyLVeeuJ9GJmU/DYkZM+CEQZly0gUSnNyiqWJkwIX5WWbB8I4mi8983 +pJsx4bIlOYw2kUg5nfd6xIIJG08d/Ve7mURC7ioaa3cxYaf4dnizhUS+Z5Qn +wq2YcDsivahDm0THc4zZTTZMyL14dUcfkEgh7HEGy44JEQMmxFcdErX+KIh2 +c2BC5pYGzp+tmP/jZq0le5iwzOc/o3+6mD+lDSECe5kwahN9S1gP683fJsbC +hQmVA6OrpLaTaFcUdzZtPxOyZMKHmfokyvXd0fTdjQnbfhu2LDcg0cN2nuBm +DybYpLiMqBpifp4ovxrjyYSl6wbUtYxI9GyzWeJHbya8XtSXs9WYRFcVl46t +9GWCoYm/uakJ9ofdSiUn/Znw9UCBnK0piVQZze+bAphw5HGuiosZiTa2aewl +jjJhQ23wXm9zEikuPmXqd5wJbMmNL49ZYP0e/JH6/AQTfivNOUTuIFHXo5yd +9FAmCKMP/Is7SaQ303vII5wJJ86OMFJ3Yf6tqh9+fJoJJ410tHMtsV7CEhuk +o3B/Pk4kPrAiUZK1H+XAWSbcledzqq1J5E6/XFVxDvef29nWZEOiCFelNslY +JmxvWPP4gy2Jvv04YLL/AhP0tpu8+7Ib35d3UvnRRSZwSjSJCTsSDZ5K95ZO +YMJNU+Frgg4kMkufY7gnMaHU7v12aUeM585GpafJTLi+uno5bw/W4+zmDNo1 +JljqfFBXdSLRdo3Tod6pTGD82+C70Rnjdfn18xfpTKj99bfXcC9+X9Tal5fJ +hPrSlRG2+0hEiTSMPJqF+TT93cbNBfOB07WgJRvjG2TpGOiK+cTcNqCSy4TT +M0EJkftJVPW+aFXUHcw3F59/CQfwPBjc3d+Tz4ToVKvkLDcStfw8PL/xHhO6 +c7X3l7iT6OZLhYgrxUwgU7a7Pj+I/cXuge9YCRP+xZxKbPMg0bIWk1rzh0w4 +UCY+NXCIRM77+GfvljMhzGk6btyTRKVBHkWilUwQen/ARtibRKuv7N7m9oQJ +LWcP7qQfJtFXvxU6NYgJKiOsMEUfEm3tmL+9/BkT1kdd7lnvS6Kzb4hjp2qY +oP/3q7+xH4muBFSW9L5kQuT3TRsc/Ul0TETEXqeOCQ9WpK8+fATrc0bLM6MB +68NbxTk8gEQJ3RFfFr7G+OdPP70cSKJDB8nmfW+YoPVObld2EIk+hm9b/ryV +CY9/1DDLj+L6FVf0yb1jQorkH5mGYyRKi5+QOPueCZtdXul8Oo79Rmj05kgn +xlve6eZoMIl4Aqa3TbuYcDanSUv4JIlCVm6hF31iwiEjdQFWCPYb89kxSh8T +WkNvzKuG4ud7nmw+NsCEVa/XqG8NI9F690d/uoawv70Ru2IdTiKDcmWm7jAT +bqitVz90CvOvUPdOzlcmaNztnA89jfn3efOdpT+w/iiigokRJHoqtoMZ8Avj +bdK9IS8S+43Qg/EPo0zYZ3zk9tMoEokOZIDuOMaPNWjw9gyJJNvNp/MmMT/f +GvG+nsX6Wz3Jl5nGfLn7VHnhORJphjdXBM8ygdLveIh+HtfvR6kemGPCbKN2 +r2oMibI+zmiZLWTB4LvQmG2xeD5WPeWVCbIAHdfyso8jUYVRSiBfmAXXDSNO ++10gUWxD1eZYERYYfz75OjqeRCue+QX8FWOBmDjsyLhIovddgxzXJSxQDxsU +Kb9EInLAcl2zJAuOy0VPNF8m0Uj3VNWmZSxI+K7HGk4g0ebJpU9yKSzY/Wnt +kYVJuN6gJhU6nQX21KBFrCskEuv3E49kskD3CVmvkUyiHf1rHcfYLNDk7Kw1 +TiHREyMrch+XBXrRy2ddr5JIjS1q+4ZgwahX0YGQaySCqNiFOstZwDCmiyRf +J1FlF4dbJMeCdQ98eopSSfQ6bTyfVGTBf1YdP+vT8P4RYVF0SZkF5794rh1K +x/Ngv4fiIlUWVOjolyzIIFG2WahM4CoWvNOPOMjOJNE733q/L+osaJ3Qtl57 +E/N9/fnt9posiHdKOr4jC/u73Exc01oWaOfcfOd5i0S3hWxNtq5nwax4hMfZ +bBLNF3eHlG5kwaIPu9Zm3cZ+ZtEgr7IF5xe8agPKIdEBxT3bbgALYt1WB37M +xXimvmmn6rJgj9qJkb95JMrf69p7Xo8FU8HyV6h3SdS33nKvgAE+T9j8hEY+ +iX6t/GRzzIgFzenLrpoX4O9ddGt+mbDgqlrcL89CPP83Ps11N2dB2oPu0HP3 +SDSqfVGodwcLxnVIg5wiPD9U/77fbcmCm3N+hi+Ksb8Ma6xotWbBapXfpwfu +k0j2cthnk90sYHHKJwUekOixN7H8pT0LTOBLFllKouD5He06e1ggQr9+Hh7i +femz5aLHzizQ2TB6x6mMRAtm3fO0XFjguFtEOLQcz58dTa9K9rNg74bZlLQK +rEeiZp+6OwsCK766PXlEouuvYwMKPPD9jX8Od1eSqEzooMBKLxZYnFxTPPeY +RMSFK6J5h3F/vtX/x3tKIu4hu/OKfixItHw3qI1I1P569MztIywoW+Tf7lyF +9wVO5rx8EAueuyLBU9V4fxzMHc0+xoKOsY8eN5+RyHzWeK/CCRZYGXyWqHmO +92frOuOcEBaA1NzwUA1+X9mtWCmcBZnSICD6EvezwTXxzmkWCCg3WKnU4n52 +C42rRrGg06xqwPQVifbzYt/cO8uC97FbCn3qSNQcs1lF8zwL4iRcHlyux/un +rZ1AWSwLBkTMJksb8P7ZK2+zKZ4F9e+5AZ2NWF/1Q0pVl1gg+/XPf3NNeD61 +dx3fnsiChy9+ruA3k6hQ2MKo4QoLVoivstn+hkTll8KTd15lwZBPS41HC+7n +QOn+jusskHk15XOhFfMnXbPYOZ0FOf+e25a0kaguXjvkSwbmm7TlyY63JJp8 +LVvnk8UCefJl99w7Eq1LkU6aymZB0t4tJ1e8x3rc69J3KpcFfmSnrVEHngcd +NoUSd1kwU1vh69NJoomvmv+SCljwoGNBbdIH7Ie50EAWsSDjR4P9448k+n6w +Sjb/PgvGKrVVB7pI9KL83w+tUhYYyRzfJP4J88Fhk25NGeZT5/VojR583tbn +zJ2PWHCf8opi14v97/ZHv0+PWXDpE687vI9E+741mHkhFkz6Vg/m9pPIv+Jj +/kw1C3ZxWlRaBkj098uu+HM1LOgx9bk3PUiiywnHJ5i1LFA598R/+We8r08m +9+TWscDXvzvA5AveN+5Mmm1oZEFNze/SgGHsDx6fdOpfsyDIlrUufYREfxRS +yh1acP2c4xO1X/+vd+/SH20sGCFXj49+w9+/uK0V3s6Ci3Fuqzk/sD8/uQCU +TuwHt9cX6f/E/tR3uOn2Rxao1dd7+/0ikd+BS30bP2E+BYBn6m/sz5d1Tjb3 +skBjc0Vu7SjWs0ht2v4BFhxps1f4M4b99KqP/swQC96IGgzyxjE/d0UFXRxm +Aac2o994gkRfgi1XKX5jwVJaDP/oJH4/Q/7w0x/4fJpyZtZfEs1GGayz+c2C +AtH0fW+m8DxUFj77cwzr2Xip69w0ida+u7P37ATWx65r2SqzJOoZjXxOTrFA +uvyg8u5/JCox7b33aIYFjaqpP6Pm8D7aJaZgPccC1/DdEyXzeJ61miv8XsAG +9xvVW/oX8JF19r+iGEE2yCTO1koL8FGj5L6XisJsKItSSQRBPupcUO9WI8KG +lRX+Nw8v4qOZu1GX94mzweDS1FiaEB+dius3WrCUDfYXeqOahPnohplaXJoU +Gx6bWzjMLeYjgeFHjptl2FB5wePIf6J85Hr5bflHKhukla1e7xHjI8mXDZkn +GGyIpq/xuiDOR1EavxkcNhucDq8yQxJ8VPD6kuwTDhtuux30+70Ef/9pYYET +wYZGS5FOviQf5bfHNS5czgaLPPVISyk+WhlyLjhLjg3e02JHoqT5KLxJr0xf +kQ2dE+XZZcv4aGjZsoivymxQ8XHlfJXho4ka+HRBlQ37rNXec6h81PF0eZ2m +GhtMynXbLWh89FBqiV6nBhsotc9ZEXQ+OjFvZhG2hg0xbzoyHzL46IHapm/y +Wmz4vC338FcmH1UcUWA2bcD1Fe0O57H5iJhwaQ/YzIYVNdLvd8ny0UumngIX +2HDL4q//WQ4fPQ3jir7cyoanuppWj7k4Vth20kePDd8LvgWP8vhok4lYBMsA +4/PM4IsCyUdFdjWcGiN8ftvhq458PhKWrzPyMWVD9a7oS5eX81F/kZe4rAUb +lrZXNr9awUdhe4Wca3eyQYyiYbVAno/ePxkyCLBig2SfFLFOgY9GSt1e8G3Z +ILwhXN1bkY9e+3S/b7ZjQ+HaO9G3lPjoiFtGWKgjGxZTHyp2KfPxfr34yX/O +bLi/unEpdSUfGYDbxe59mC8ytE2mqri+k4yZuP1sKLetuBf5H+ZDqt+Mtjsb +ztf2eT5ZxUf0S42Xfnuw4bdxmc+kGh9ZngqvuunFBtMfLpVqGnzkNT50xtqH +DY7dSy08VvPR3FXrIVF/Njzy6lPJ0uQjMk2p63EAGwylRSy61/CRnHG5p99R +fP/e3ErGOoy/pVOiQjAbGOxfvru08Pe3A2y6TrJBliPsE7ce15tgff9yGO7X +IerDVxv4SOSmQ67RaTbsXmWgL7SJj+6X9a0XiGJD5v1aQmczxkNw2/6Ks2w4 +cLBK9+QWzMfJDyr+59nAHXK4V66N9eIkHLcyjg0F/TUHJoCPUhx5MUPxGH8d +BbfVW/lo/c7T8hmX2XBa4G6Rjy7m4984R4ckNhjvCN1esI2PnK3T1RkpbNA8 +0SD3TY+PRJukb7ZdY0PU5BNzZX0++iywrfhiGhvSHU89dzfAfPh92ck8Az/3 +3hpx25CP+oac7izJwnqRUrkwZIT5ESWc1JDNhnFz90E5Ez5aUDnEi8llA8tZ +/sx+Uz669MbJ0OQu1sfVi0dumWE9271ZtqSQDVdC3+UPmvPRc8NrJ5qK2DBc +Sq6W38FHSa2cM/ElbPx/eGOR204+WppQrrHrIRtEQkL4Obv4KPTw61BaBRsC +yZGYYUs+ss1F3p2VbDi7RWqbijUfGTf8mE97ivW0lWvgZcNHZi8frXatZoN+ +tU5KoS0fqbdGiynXsKEuOGfd6G4+6o55FPHrJRveWYYtX2PPR8u772c+rGPD +tP2kw1EHzEexd66hjfj92o0Djxz5aElJZL1+M+7/THD5/B4+Uq2Wb5dqZcPq +kKGPus589OMc52znWzYUCeaZnd2L9VLR1J31ng157uNLG/dhvPTTPxz+wAb/ ++5OcZa58JB3/J2RjN/YrSk+wzX4+mjXQfLW4lw2LPncpph7go5rQ5xVt/dj/ +Cgm5fjc+qroubpk5hPOTfe+jdBDj6+KT6DPMhhwxTQkfD5y/gF2o9jc2nDnp +Oll6iI8efV+1TPInG/7eStGY88R4LLIz+/SbDYI9gk/0vPko4Cho3vuD9Xq/ +NSX2MB81jRg/D59kg1TL+hdvfXD/9Qfndk1jfsq66XL9MH6jAQPy/9iwIC1G +2s0f8zvSLWB6ng1/Yj+o3TvCR/GKK4qbBGShzSIyYyqAj0o20a7dFJIF8ugj +F90gPqq9maN2TEQWFlcXBsUe5SOHc9v9zcVlYZqZ0NV+jI/qztm7yC+Vhc0p +VxP5wRivxF0L56RkwSNqPN3rBB+dFLpm+k5GFtSs22fLTvLRsmtpBoU0WZC+ +43d3USjWZ0D96FmmLBy1ni6wCOOjx9QLJi6ystBpk7EoNZyPtrrYWG/hyUJq +19X84VO4/vxLUiy+LBzUY+WtjeAjhRuFwRMrZKGavWv6dCQfWdlzklsVZKFW +9ljamyg+OmpjfKBIWRYiNVES7ywffTqeO3RBVRauhTj0e0XzkZ9kDvOwmizM +bj8VUXkO6/nVw3mz1bLwQfTAcfEYPkqsNkxZtVYWdh7ZVGMXy0f7w18PSa2X +BSnXDfvz4vgo+HfFl9GNsvDpc4Ld9AXsZ64h6W+3yOI/gPBbRhex39yNES/X +kYXQbs3t1y7xEbPfVjV1G87nwOCmb5f5iHvLWuiUPs4/vzZ6cyLO9+/UZTcj +WbCvpKheSMLzyuxhh6mpLNxqmJfvvcJHH4IE2zUtZOGxMQpancJH1+t2xcju +kgWlzhhe1FU++v2XM73IWhacja9zO65h/1R4T/ywlQWHbLmAlal8VP3t74L3 +9rIA8s7Lw9L4SNtk8mr1HlnoWX9aqS2dj3xLjX7m75WFiIgXZxQz+Ggz/dBc +iivOrwsvkJm439XNtVFushC3M9a05SYfSZz4Y3bEQxb2rwh/oHCLj86fMr+4 +z0sWttUFBJ7M5qNVEfbxO3wwf37fjG+9jfeF5EsmOv6yIBC8bZFyLr7P4fAL +9UBZmAqLfxOWx0cZnZ5z/GOy8HJH1d/2O3yUHS08TjkhC97+UsdX5fPRv71l +eYtDZSE486HVmQLsP2/meDPhsvC05df5T4WYnwXWVj8jZOH1qglZrSLsnw6b +jQfOyMIzWQHRi8V8lHdTTaDzHOaHprnFyH08r98XHG+OxXwwZoz9r+Hyjufq +C+O4SENWKTK+8977HTYZUerJSrKKJFJIpVSkCJXSICIlGkrJSqmMrFCeFJGS +Ij+lCBUJGYVE/e6f53XuOecZ78/nnGtWyMUN9w0Kn51VAc/dl4aSi7iYsHdl +fsV5FWC3S9iMF9P+3ugRUHJBBRisbFHHB1x8IC42mndZBdZ8KVhwr5TOJ/+e +yZ2rKkAR3idnl3Nx4fwvq25eV4EF03+t2fqQi78e8pXTUlVg3UDawcePuBjz +aTzveoYKeB27K8pEesxslU7OUoFbV+y6Qx9z8cDVNbpXslXAcM1TYUslfT9O +task3aPP+7X6uf5TmqeNEq8u56nAPHmi9nwV/d7xWrcqqUAF8HAkb7iarreh +ZcyVYlpfi4o7HWro+h32upRcSvMUOjiVU8vFKx7ae1IeqsDTxr3BMnW0f502 +kE5Hmo+pkLV+L2h/M5gMznqiArnDK2NeveTiScXZOXerVeBLvxJP+xUXQ3d+ +yb1fqwJt23TZ5xq4uK9X8UjpC/r7+fWhw6+5mNarpVT5SgXE+zUMnBq5aGCU +d+z5GxVoJuPXFjXR+WoKHjS+VQF1nSUNC5tpfy5iPfrYogJZ1TtyDv7HxTh1 +Ir6nVQWU328abGvh4p1Lj/R/ttF83nA7b/qeiz/2ht0S6aT1ef7GpcxW+r5+ ++aNf6osKRG0PEJnzkfYPyxQxlR4VuKAgW+fXRr93RJjfVb+rgFV7+XhTO/2e +KxlLNx6geVpaFmXcQb+Pcsp1Vg+pQOoP27CUTi5OlE+e2/hTBa5NFjfP+Ezf +V6ZW1XvGVMD59tLzu7/Q+lmm/Sp8QgUuHWcVNH2l/VrL8m7ilAr8dU43WtrD +xbWGKp63RRjAXyxDpn+j9SJi8b1CjAEyR9L3SX6n9fifo03zDAZ8q8kSBPbR +fh794UT/bAYUjnuYtfXTfhe/L1Fcil5vOO/pyh9cZHy+G8aUZcDckWnZeYP0 +e0SVs2KxHAO2dwaOKw/T74O4LR/XyjMgfVrBnYgR2g8/zXHao8gA0UTRmqGf +XKyOzsuIVmGAuiDL2n2Uji++781NFgNC477r1Y5x0TBm3YcqLgP8uuUi9X/T +91PuycrPFAM2JPqsSJ2g+W2Vj5guZICPlY63zCQXNx1J41PqDJj/u/DHoSn6 +fZ5ffdNSiwFk77LPvX/p9xqpMnOHLgMSs+abbhAh8C8PLGP0GfBD8ujsmmkE +jhe92pq7mAFHjJ8bG4oRuMbLZ9vbJQywSlnanDmdQOkdWVZ/ltHxT7A/yM8g +sDVDU4pryoCt9o9tImcS+Dg9qWCVBQPUfm0XjM8i0PdUzPIAKwa0x2722yFB +4CJGxr0rq+nvZ49wWucQeK79pGi1HQOmZ+4GWykCNw03LBlaw4CkQaW6CmkC +TyoL3RjrGLC2yrJSV5bAjDodT2sXBqTam/Ay5xLorB5nF+zGgH6J1WOKcgTO +mPxC3NzEAJMn5fpn5hO4ubK1o9mTAUsT2ztE5QlMvCwfNXMrA/IGRCYPKBC4 +yt1EyciHAfFxe070LyRQLX4s0deXAbFRQQe3KBE4za9/8toeBuit2N7xTplA +7Hpm37iXAb2744ocGHR+EdpxswIZMEt52Z9nTALbsl6XLQum479ZmbOcTaCW +nXNz4EE6vupdTcUcApsNd7bfDWNAa3jMDm2CwIq6B/99DWcAZRDgd4skkG0+ +XME+yYBbF/d85fIIJEMfX3I7xQC73Df1V/kE7pzX7HXxNM1Hxw+BgpDASc92 +ZtMZBjh2Kfw6p0rHcyD25dx4BryqurpISp3ADZrn/BwSGVA71PD5lAaBeQpX +xc9eovkRzJwtrkWg6mGPsw1XGDByPD4lXJtATb9zsvOuM2B5SHX2Xx0CZ1Z3 +RjilMuB986jqoUUEJsyf/fNiBr2++gBzQo+OL/+By4csBni+SI4INiBwXtHt +Qs4dBog9f7hlzJDA+7PPz/HJYYDTpHpRkBGBmS6qbjn5DJg3BWGjxgQGzRVm +jBUygPHUvjxoKYGlAVa98IABGZk5/mMmBBYfM1U7XU7rz6X4SvByAqdk3vg0 +V9Dr+x+aTACBN0ry07hPaJ6bldYfMqX7P5Lywa+aAXXdVM9fM7rfPzfMf1TL +gAFHw6FwC5qv2iurpV7S+s65GSC+ksB3NtRx9wYG/B16tSvKisDZBkVl9xoZ +0BQw+5OUNR2PuMyoyH+0ngfuvohfTetBaUjX6T09f1xh0UJbAoU3mPuyPjLA +pihF7podgSuvuxZPfWLA/d3pe0gHev6Pj4jTZ7pfY4fNs9cQOLpH2j67m9bz +jKhEXUcCa+Jk08W+M+DPfY5XqROBKxr0RdwHGFB/NP22qTOBT6MsvIuHGPDG +aY9f3XoC+ztnvp73iwEeRz/kOm0g8P0vi5V+4wzYU27j1+ZK4KN7tc9e/GFA +lxoj22cjXf9+d0e1fwxY5nbHe8SdwPk76nujRZlQvmLD1bDNBCY97T7zXZwJ +nqbH10p4Eih1/ADYzmZCjFp05AUvAs+wbERyJZkQsLh+CeFNYM93vVdyskwo +mpvrl7uVwONLRO8FyzEh8+VZYtl2AuuMTya3yTNBYej1+hc+BH6YdfaahRIT +vvi9lXTbSWD7w195dxlM2HlvyrTXl/7eLbpFnsOE1qN3J0J2E+j0nisXTjLh +gbqVnoQfgX6cRK8++g/85Q6dwSR/Aol5Jc9c1Jgg6fVSUz2A1v/hLWbVmkw4 +nH908OE+At31/Jv1dJlwd1euvkMggVdnlISn6zPBTb7yb2cQgU/uLrBcYMSE +uNvKNkHBBCr89CYjlzIhMIlgSoQS+C/uGGNiORNU6yHw2kECza1sdPeYMUE6 +4/2aRYcJPNaasqXLkglHRl0KasIIbJzjkb/Bmgl2cmTypqMEHkzbyXptS89X +pUv+CifwTkBq9qo1TLi6xlws5jiB0Y696584MUHnwK5w4iSBv1g8apkLE5QD +IiPLIgj0fmo8v9SNjmfi3wKnUzTPK6R5hpuZUGyxQqM/ikDjS5FuhV50PLOK +X0acJlDl3ZlCvW1MmNz3cowdS6CskZR+4Q4mTCwZyi47Q6B9T997g91MWH4+ +rtf5LIEcc8WsB/5MUNKULxg+R+DP7LBkk/1MGDQdmRV3nuYnVaK88gATvkcn +flNLJLChOnv6qoNMOG+2y7n2AoHLn60Jbghjgrtmt/32SwS6HOlX2HCMCbz4 +oGbxJLp+Hf6fO08yIWTp6d70K7R+xF617Y5iwrHwCzHmyQS+Vp6cORHDBFsT +iYefrxGYdbrfI/IszU+Ty6GTKQQGtl7uXZDABB+DX895qQSeyhvPyLjIBP3W +tbdq0mj9dIsmGFxhgv2zLwq+GQQ6HMsvrLnGhPWnuQrSN2m9FYtKbkxlQpN5 +2M28LPp+6/xxcTCDCfLX99Suu03rP+uAa8QtJrxq2nF4Ipv2N7zkxLjLhNm5 +X59cv0sgy8gxsjCXCamnNyZb5ND6Wpo1YlfAhH5HM4m+XAIjzJOSvhUzweyU +3Jzz+QT++Kt++GQZE/4aW6YYFxCY77j1KreCCS3z1j3vLCSwPmjVb6ykebAp +jTpdTOD32k8JHtVMWFE62Kb3gEArcT3/ac+ZQFTve95WSmAv1zYm7SUT/u2t +sIkqp3nxMOy1fM2EnA0O2/Qe0f6w6l/09yaa3/w0hU8VBJqU5/uda2GCja2h +Z8xjmrcmj8uLPzDB+mKUmdETAhkLlGZ3tDPhTpJixden9P7LBiuiu5jw7t+2 +poRqAnWDRx/pdzPht/TwcbMaAl8sXjGzs5cJ83KX1A/X0v2w/Xo5boBev6vq +fmodgRcHJg8sG2bCbf+5+o4v6fvnfHLqwC86vtOpa6e/InDCrFMp5TfNq86k +ZFED7T/GXzvWTjGBfSjV2+cNgQv0qsdnTGPBIzUlV+UmAnXsUjzKp7PgaFZP +f/1bAr9IJCjtm8WCQ2IJ7OP/ERjqVclXk2SB+njqsOE7Ah/ct436LEOv77vq +3f+ewOtvNsB1ORZ8HZl9IO0D7ffTJe3cFFiQ8DJA1bWN1uus0/cXKrOgvcfj +yNxP9P0r92/vf0wWaHlvCqrtIFCm5Vz0RS4LbkuPyhzrovV4dM9fFx4LbHfe +t1nyhb6/Kx7XK6uyoDObq/HrK4HcqgeT7RosKClvyMvpoftnExGVocOCb0tW +t+7spd9P0S5Bu/RZ8PEI+zavj8ABhy1P9YxYkHqhndnVT2DX2Pv9f5eyYHjl +QuOUHzTPXr9O1QILQuTdJt2HCPSR6Z12wZwFQWC0TWWEfm9JD3/aYsUC98fm +wa0/CQwTteIvsmHBNUfZRVdGCZyuJ2gWc2CB4l6ti27j9P0f3jDw1pEFpU4G +GSoTtJ/vPBpwaz0Lev88cG/7Q+tVIcQrzI0FbgKHxylTtF+tmapw2swCtkdc +w5Z/BC6NXROjvoUF8welY/jTSEwbLqsR384Ctf5tP7+LkqhkcSLo004WLNTX +lsibTmKJ3M8L5XtYEOo/vT5oBom7zzqrJQWw4KpcGJjMose3x/VCgljw1GOx +13QJEqfPFRZuCGXBcZ9Xi17MIfE1f/HdJWEsqJrzqTBBikRFpWAm6xgLMqZm +fnOXIdGpbanE9AgWTD758pI/l8Qu3oe9vVEsYD5YuHV4Hokr9t91fhPLAkvp +FTkP55P4R16itOwcC57X/bsTJU9iqI5tcmYiCziNo5ucF5I4Fxunnb/Mgsuf +aqoIJRKvRU/2HE1mgUysYueQMoneSwRO/jdYkGQXW4AMEjc6PzD3zGDBYGit +yVkWiVcd5pc73mKBxKr9YR4cEov3Xy9beZcFP1/rHdAhSFwwUWlukkfXT+6+ +QIwi8YroNxe9QhZs/XHx/FseiZq5h3+rP6D7rxNbkiUgMWFigM9/yAL5MyaX +DqmSeOjHnS/cxyzgpjotWqNOYtExoR67igUev8OieZokrspumc+qpfUhufPa +pBaJIdu0o1gv6fzNn/o16pDoUpoVz3nNgr1/lv67vYjE2pQyXeotCw4fOWF7 +XJ/E5WZfdqq+Y8EWORu3jYYkzn+UtlTnIwsuDVoIDYxInON84JZRBwvqV1El +sktIZLh15pt9YcGt1ddm9S0lUbh0h6v9Nzo+1jblmmUkPo6Pv7GxnwWvvusO +pQPd34XdUb5DLHjXUhZ9zJTEU2lD8w/9YsFcmQc9HuYkXrZebn7mN92fsq45 +YEniYuvNiqlTLDgxd/Qny4pE/8ih560ibHC3zk4XsSbRnJvj3i3KhpZbFcqd +q0n8tet+1ch0Njw5Muj61JbEH4eei02byYabgkmvm/YkHj/5eKHMbDZky6bq +nV5D4tuebeLMOWwYLExt8HMkUVoQ/VxDig1NtyoM162j+fr1x2eZDBu2ny/b +uWQ9iaO8Mx32c9mgrOO6k7uBxPQncvpecmz44eZhKOFG4ryZnt6BC9igOyvh +zfBGEsU3rPaPUmDDWqvypR82kWjpcmvDNUU2ONnfCKr2INGsbS2nQJkNLgGS +4XleJPLG2TXPGWyoVq3ZmOxN4ofBfrtOFhseKqZIRG8j0cM5sWiCw4aLszxP +H/Ah8f2PkX9yJBtW97W0b91J4uYX3WqaPDaodTfPWreLjnepw5JVAjb8Xa02 +02IPiQMdUlpbVdmw//rNVn1/EtnXRWcdU2fDliRmJD+A7mfW3GfXNdkQouEt +obSfRLXDrN2PtNkw65jtNqkgElMn5/75qEuvn8q9Mi2Yrr9lw96/emzoM92W +PRpCYnCn6RuWIRtkDC0v9B0k8c4dR4apERsUpqm5dx0mMfJ9v+PWJXQ+UoMi +rUdIzJb4GxRlwoaIeQHHGsPp/uoHRN5bTscjE9f54jitz1KjiKYVbPBew+M+ +O0nisq0W+/+YsUEvaKFpZSSJPlsj1xKWbIjevdLsURSJRptGODZWbDh/6AKv +7DSJR7zCugKt2WACvX0lsSR+/sm8lGLDhvpcwcXiOBJNpV/CCzs2EIQRr/gc +iYn8Y23jDmyIsZl+pfg8iaU6RgE8RzZ8ttg/WpJI8588MOm0jg0zY/cblV2k +z3NNOXJiPRumzx72fnSZxPYO2z8FG9gwNac1pPIKiU8Wj/t/dWMDrGeFPEum +/aP7RsfCTWxoVMnd8vI6ic6S9nY2HmxYL3bUuOkGiYGO4iVHvdggFB7/25pG +YoXYC1aRN50fLyf3cwaJZWPZEX3b6Pzn/lkzcJNE65s5/cQONiw4urlr/BaJ +5/ld6zb60v2Oad46/Q6JZxc7YeJuNoi+c3sve4/EfqN5mg1+bBCP61vBzKXr +o6OZMieADZHbI5PV80nsfVeqYLWfDSuy1QeWFND+kvQi8WQQGw4atOnZFNH6 +OhOi/DSYDdTh6wHuJSQaxL27JXaQDetiA7P8Smk/o2aYmh9mw7d52/87Vk7i +31SlLyeP0Hy4HhK5+IjEA8p6CTXhbLi/voK8gzTPnnsdJE/Q56UtsaispPlX +HlFaE8EG2+N/vd49JTG/qPXnhVNsuNYvf2SomsSLofbtH6PZIBGdmCRRS6JF +yP5WKpYNBsUxRWQdiV63Anr3xLEh94xs0/KXtH8075N6cI7mr9vgp9sr+r56 +kGYxPYENmzcoLAx5TeL2r1oJDhfYcMqsDi42kvjv48qJ5EtsuPVyt1/RWxLD +ZRkhfUm0/vuUM5r/I/FLV+fcpcm032z92Tn2jsToe/VVMdfZEP9WQVXpA+2/ +1QoX2m6w4UVO1kGTNlq/R8eO66TT9besa/H8RPOkfuvsyUw2uNVlmEZ2kjii +u/Ph+yw2SLp4lN79TCL/T8gcnWw2sAfIFW+/0v4yXenQqbtsGDvEapnqof25 +LVa2I4fWY/fho/zvJLYtVn5unM8G8+n+S9b2k6jcNvt2YgFd35t8ibAfJNpj +Wt5QERt+p7X03x6i/XBEr9PuARsK6ku6W0ZofqrmmNwto+s3Q+T3zFESt2YG +P5F8RPOs38NdPE7iLKv6oN3IhrL1d7ftmKDv4wueLq8q2bDqaGzVlUla34+i +duhW0X7RWgOv/pI4rpOSfeEZzXfhjXdi0ygsuSfCnqxlQ/uRjeeMxCi8Zja7 +xusFG5Y3Lt/hL05hyDqljOf1tJ6CE7yyZlI4ln6hZNFrNszdkRHWMZvC+HVd +Ytca2aD5ruKRsiSFCT3bT81uZsOBxYvI9dIU6q47szKohQ2FRmtyz8tSWDpV +afr5PZ1f827v1/MozC7bf9DxIxv+rWtfIbuAwrs980eetLOh2+HvKgcFCpPd +FbL1O2k/LabCzinS+4cMp2d9ZoPHf/ntjcoUHtFldap0s6Fms7i/ApNCobii +d/w3NjB3HNHeyKZwYP4m9dl9tD8Fn+SmcilsV/ZbGj5A8xsRtvIbSaHO0VeJ +E4NsmJjelKLDp1DTWdw4cIT25y9DWgeFFBq5XFYd+kXzedVytEqNwn3SCjv2 +jNP3l6rZr7maFO7PlRzrm2ADg+umuVmbwgnzOc27puj9b09Pu6tLodOFzJkD +/9jgearEaUqPwmV2gbH+ohzwpobN7QwpbPwiu+PndA74ntcKTDGisKtiwdWQ +mRyISRj6OrKEwpM8QiAiwQGj1LIrVssoVLRulT4lyYGJIbnEa0DhJ7euNXNl +OBB9+HjTL1MKvY53DV+Zy4H3sy642VlQGP4rYoQ/nwMhwvdqWSspVOg+uK5Q +ngMbbTosxawpfJC1T8lckQNFD5ff22xD9/Mm17xJmQOc3JgtD+0otNgJTVuZ +HKg29fJRWUPhppzIF+NsDshFuT865Eih2voizViCA0/jmdvb1lEodTp2ksvj +wLu9Vt4rXOh63H5tWCrgwG/T8OIMVwp3+Vp3rlXjwEm9AK857hReqKuc6tPg +gFbcs20BmynkUbNjTmlzwLNcu/q9J4WuS36coRZxYK+dxzFzbwqz9K1nPdXn +QONsyeScbRRWFA7/3rKYA9rf+xRUdlB4vunpVvElHHDVrvgZ5UshUyfFNsuE +A1c9TfV/76bQ/t/2+zbAASkXo9Yd/hTaiYldHjblgPnKnT2tARR2p7uJJFlw +wK3q2ib7QAo3j2/+bmrFgfCmtOVPD1DY+Wjaxn5rDpj1roo1DqWQc9jA6bIt +BzR/e6/KP0RhasjYW0sHDhwNfRGodoTm9fmKrl9rOXAo0G1+ZjjdD2/5sMx1 +HFCMHuRxT1DYoRKa5eLCgUu/d+dcj6CwqTjQW9KNAzdyH+QwoygkhxYUPHbn +QKb9Q+H10xTOifC9HOzBgVD9bSzOGVq/lqfldbZwYENURnz6WQr7ZM5ofN/K +gTtm/ieF5ynM7z/7KdOHA6WLK37nJFKoPK9Qx9uXA9eIuCHDSxS+/sIiiD0c +EM/5tOdxEoUPlf8UdflzIOdoyT6bZAoTc/f/yNjHgUAzlui76xQSfx/V7wji +AOs+R2V7KoU3UXa9VggHbDManoymU/hBLSN69CAHfi1Y8SfyJr2+t8y3IowD +u3VjnirdpjDO4PJkVDgHJL1fcXLuUBjbdnK58wkOoJv6Aosc2g/WvjIgIzkw +zKhN+ZBH4dXcZ59HojhwXrqhOrCAwqq3VaurYjjQ9scvSraYwmle1J5LcRyQ +V/vQe+cBhWFNlna74zmwb6tNv3U5He+puAGzRA5ME5uK731EYWX1jjUqlzgg +Ma7Zdvox3Z8O85DRJA4QnfzXmk8pvCJM9HmTzAGV+bp7GqspNJNv4uSmcOBF +2tXikFq6H0ZHb8al0f0NKsvhvKCwcAtj0j+T5smh26WunkLze3pcp1scMG07 +XBj0mtbbYScVozscuPWs4xnRRPtHkmw/K4cel4bGv2mmsNxS9OKsfA7sDylU +OP6OQlWTGpWRAg58+Cbmqv+BwobaGeHtxRywIj66fWuj0Lpte/XLUg7sCnvI +ut5B+53ylR8PH9L6TOVlOX+mMKBj3b8c5ND/q9fHZLopHPFwHE97woGG+gLZ +um8UPr/n9PFyNd1Pk/FfkX0U9r9h552r5cBrz2m3LX9QeLDlRNDpF7S+NuzW +mjlM8/nJUTvyFQdkB9tO1f6kcKH+9o4Tb+jxvb8lsWMUqjhfiznxlgPN30Mr +HScofDK3XS+ihdZH58ws5SkKD51b8DGqleaxdPOuL/8o3Ltf71RcG73+hum8 +PFEenmzWM7rYQfPYHHQ1TJyHZ/3lR1I+c0CmskbKbhYP1VPbS+50c6BCdM4O +1hweEqeTY0t7OTB5XD5vWIqHr5S89z/vp/OPfd7zTJaHGwR2/h8GOZD8TlLu +uhwPd506fGJwhAPf02t1g+V5qMZWLpgxxoEDVSPWjor0+KezKGuCA11lJzZp +q/Bw7WqfAKMpDojVHvKXYfFwqCx2prMIFw6Idh0f5NDjFVJV+8W4sHpb1ZVG +kofrXfXuJc7gwt/BxWUlfB5eknOpLpnNBb/8DV+uq/Jwmtpb2TZJLqR+tmZE +afCwhCN7TlyWC+oihtv2a/MwcW2gtZYcF2Ib7Z94LuJhj1QIuMlzwTip3nCN +AQ+t718MilLkwpt5P6tNjXgo/2zd4AMVLgxcmLXfYCkPFSQgr4/FhS2LNpqq +L+dh4dXv5RyCC3crLPVJUx5GSo3Kb+Bx4cIo34FpwcPVh8WfxAu5oBi3/YKS +FQ9L79U8rVfnQp5z4BzF1Tw0WDzGktLmgsmq2nxFOx6qHFvTYruIC5J3uuJU +1vBw3u+UobMGXJgttM3kONH945b4NRtxQbrnwm/Berp+DwOcmSZcMM12jdV1 +5WHZx8JbPsAF317jrcvceegh5r+70IwL1T86T9h48PDzyssZ01dyIXNkxuDG +LXQ9Ahc5O1tzQdbY+7bfNh76U9bHb9tyoU37cfGJHfR5HcPa09ZwYWVMv/LV +XTxMMLPd4urEhYxtle8L/Xj4nnGcWbSeC1GbueOvA3gYHVezbb4bF2aW/j4w +GMjDDL2NELiJC7cPL9s0N4SHqmaROS2eXDh1YfCe3iEextxMLlm2lQvrxhT3 +uB7hYabh3803fejxg/rrx47x8FTtvNvzdnHh0HINq7snedjm7nDlqB8XwjZs +8n1/ip63MVw8FMCFpdsSpSRiaF5cHE96B3Gh7oDsoqVxPPw7siTyfQgXXIIX +fvKPp3k1TzB1PEz3z36aYlYiD4W75pTXH+VC6QzVzo5LPHyevHHc5gQ9Hpxc +zrzKw1hb+8mXkVx43PDDwP06zb978Ys1p7nQLHKi7loqDz+ZB+5pOcOFwSRL +0a4MHkqYBH31jKfPT21oF97i4ejuAqOBRJonjWc+++7wMItruPvwZS5UnGm9 +UZHDwy3f50XIJNPxH62Lk77PQ17Djqj0FC6cWONp6FFE83fa99DSdC6w5u1P +LnhA53tznfd/N7kgV9FdPechDx9X7bMMzOaC4b67JVuRh5vLWQL5HC54nn9y +oPIJzc/7x9Kl+VyI/qc/m/uMh+myr/95FHFhyJwZcOI5D69rNorMKeVC54u0 +4m8veagn7a5Q8pALv2Un29a85uHH5nmrfB7T9Xi5s7+8iYe6i7KuKFdxwWCx +aY9qCw/vh36a/6aGC5XaXU1XWnl4cHpc6ekXXPga+rBEpp2HL9dejLdq4ILK +L/vLEZ08/LCqP3VWExeO1QsOiXyl8w9PHKr7jwsOlV+2Hf7GQ9idcSK+lebZ +QW/zVB8PQ++YeW1s54LzxOudRwdpfZplnRV2cYETFhM34ycPHVtU5Ce+0vHJ +mTbGjdG8z5gaf9nLhRd3O5ao/OHh2Nmi5RkDXAgy8H2V/ZeHMgW1g0eGufD2 +9Y/zy0T5qOlZO2/TKBcsOPFxTeJ8LExwu7N8ggsaJyJqds/m4+ILRk/Jv1wY +2SRnISHFRzELbU8pUQLyN5+bc1uWj7W+7Ojf4gSseebLtZ3Px+V//lp8m01A +cA777IgCHzkBb698kCKg03mFW7IyH9tZlfGNcwnAXQHR1iw+hoSM69QvIECw +cRf5h8vH4z6Pj75QpNdf/aOVw+Pj3JyDEfUMAtL/iRRsU+Xjd52r1k0cAnrE +A4o5mnz84niv6SNFwG3NDSs+6fDxlYuT+nchAR52zS6p+nxcVLxyw6QGvf9X +priPER9LwjZsmatLwLTQMFsdEz7m3Q9Yq2pAwMrvzkZ/gY9VxQmaK40JONDM +bqg356NT2rt/25cRYDzgq5hmxUerB/vrY0wJ+ObWrnLQho+XqvNTCy0J2Mwx +7nR24KNK3MSJTmsCGg457jVw4mO13svDcvYEnLNRfqPowkeX4upEK0cCDIOT +JKdt5KPimmtvw9cTEOo6IujbzMfnYzzLCjcCTqh5abVu4aOg3n5QxIOAEH8T +Qf12PopfJj9aehMwy3dUucqXj6tW1S8450PA9DOKcujHR9PN59PadxGQ9sNO +vmIfH5VPtsTp7iVg9RNXzcoDfCwX5XyOCiQgqonhXXuQjz5WMre/hBDwV+QC +Nh3hY+L+rd8twghwLW2z+Xycj3u6xfNvHyMg6JTOvPFIPtbgyMz5kQSUx3xV +lI3hY1KE41j4aQKkJQN3q5+l65XtG/0zjoDhsX3ytgl0v9Qz6nwTCKgJS2IG +XOLjbSqmqvsSARuSMO7KVT6+PdxwzCeZgFUZ7ftqU/iYGWYpPXCD5mVk3ts/ +6Xw8fbA7IDiTgNe7Lj3UvcVHm8NvymZmEyAieG245y4fz4zY/LySQ/djnqnd +vTw+ym16wtcvoOt7PmHOSCEfz0s892wsISBQ52Lo0lI+Zjxl3At6SMAzi2WZ +0Y/4GJGcvpBVScCu7PTLHyv56Hhnz90X1XR8AZIe+s/46PGiKPhIHQGVSe3T +4+v4GOzXFWHYQEBOY+75kVd83BcY+flnEwHhS5YudG2i9TTgda34HQHr+T7X +qlr42DPN+/GRNgIe9FvoGnzko8ybm662XQR4P5j3KbuDj732Bw+we2i+3BYX +8L7y8YLORup3HwEUz64ss5eud8fvvf8NEaD4SlFU/Qf9/V4D37JRAp47nE0s +GqH3j+WzMv4QUP22+ZjlOB/LTitcTRAh4WS22X+tk3w8ujNiMEqcBG+9zSlB +0wS4rFNV7aQECUZfP3+XnyHAOwdGXCNkSHBd/fRZuYQAcy7PjIudT0KTFNfU +R0aA2ytrmpMUSZgvtmGH4nwBfrneuOIekwRLsz+rGxYKUM5m2qdnBAnPrBrH +YxgCnDzs87hbQMIv2S9h9lwBVtdtGpXSJGFslV+/Al+AtRMhccaLSHA72ef4 +VU2A163PJe9eTELg/vmVpdp0fI2PdG6akHBa9ePKRH0B7uzxcO82JSHG59Cv +QGMBTh1V1tW0IuH2iE/rxuUC1C959/igLQnpg24S1uYCHDZ7xWxYS8I567Xn +TVYJMFs01E3NhYR11JlIQzsBnjuXFh3rTkKq06VxQ0cBburzqhj1ImGqY8X4 +MhcB2ixgSm33IcEjKeOSjbsA9zSdjmzbTULLLWGfh5cAT/sUmrrvI2HZ0nDx +Q9sF+Nt3fG1XMAmq2vfGkncJcCh11kv/MBLyGkWbq/cKUK9rqEr8BAnSt4iC +0SD6PHklx9QoEqyWz87UOCTAhdpm0ZZxJNycK4q+4QL0sIgNH04ggRdaIJ8X +Qdcbg+0zk0gYv8OumDpN5+/fI+GVQsKbp6n1a84J8Ol3oo7KJKHm00/XuxcE +6PTy3c2hbBIaV+uEyl4V4DE290FVHglOD5pMD94QoPDjUYXUYhK2xmNdf6YA +H3n2tEY8JCHLzkTd544Ab8qXs/Y/IWHX18mDvXkCzFNqnNxRS4LcWkbj/mIB +/ptzMNbnFQl3WGrWMx8KcGtLaJ/fWxKyFcmJG5UClM1ZoH+0lQSmWOikeY0A +T0lKH7/cQYLJ7gW+gy8FyK3PGi7rpvud5OKR3ijAq7tzU7r7SYg+yh3zeCfA +S6uCb6v8pOP/+Nqa107XU/mThtsECS93Wh34+VmAyvvWr0oToeAya+BSXa8A +ZRw7lH/NoEDqcsGL7EEBLhddWOUgRYH1ZSXtxFH6/DfaW4vkKOClaHVETgpQ +R0eEwVOi4E/6xb/HRYX4sGBKKoVNgf3wmZtRs4S4z8/KleRTsG7hwJ9L0kJc +bpFN3tegoEVCUyV/vhB/htw4a6NHgbbrLuFbJSGObHSrHDSm4OgFPwtRjhBn +6D5pu76Cgtg32fFGfCGGM4/NcbWiwNthpd5BDSH2e4j7sewpMNvAsnu2SIiT +d45rD66jYL7Ry+lMYyGW3BENfrGRgmDf7MNHQIifazfuKdhCQefo+7bvlvR5 +c1aaZO2k4Pqglf0WWyEeslgvk7WXgo1LCka/OAqxebeEbEEwBQf23Z/a5ypE +rm6d74sjFFTNL4uV8hTixupx+6EICm6/JV7nbxfik4n+Xu4ZOv9lOiNb9gjR +4MSsXZ6JFFgdXcjmBArRLSVX7O5VCmJOzTzZe1CI0t88usTTKRBxUXfAY0K8 +G3zPZFc2BXNulOemRtHz/mssP+VTkJA71XzurBBZxRq6XqUUaCbb/Iy9KMRj +zI2Gw48peFLHW3LxGh3/i0WxZ2sp2FCj2343Q4izuU67TF5T4Ltn1YI3d4So +3n1P+ncLBYZBR+SmFwhR9ld8zpNPFDDcteaalwnxuEbx6eQeCjTyxFbGVwrR +eIZlR8QgBWHPpv0YqBXiAd9vP46MU1DQkWDu+lqIUUb/jZ8S4YFt9eUTTS1C +PMhuW5Y6iwcZ9Tv73T8JcdHCfTNeyPKgJrjv0Wi3EJV2VyTOUOQB60iS8fUf +QlRzztFby+FBZWBi2voxIfpqTtPIEfIARPOWsf8JceXadc8Zujyou3Vs7e8Z +qvgmf5nrNWMe3Lbcy++SVsUZ0k7qOmY8SONUzWyTV8Xhaabxzat5cOZpyfJe +pirOavzYfsaJB+fPRDNm8VWxWcbI19WdB3/E4oYMtVTxtmZRjNE2HmhMmUmH +Gqri5BfGdXU/Hhjd866pX66KrwsL/y0K5kFW4t8gAytV3G+7XtohnAemPpH7 +8hxU8Zh2lEZ4NA+2To0owgZVPOd5qfLZeR50OzbUdHqqop/zfX0ymQdjeS4d +l3eq4g2dGcMXMnngJpLwbOs+VXzn0bKVncuD+75+nZaHVNHpWrbo4wc82La+ +9YrJSVWcHb7RJOQJD6yefvOwPqOKz+6bn1n1kgdvjAZu7L6oivbvNu3V/Y8H +/1ldf3MzRRXHTHZt0+vgwZUKo52/b6mibZzKkP13ur53M7q87quiUaTh5ZO/ +eJC0Pvnh53I6v3c1vW//8UBHrTn0SDU9v8MuaIUEn/7fVUtd1KCKpyd7Gmrm +82GbeP2jae9V8emZuIRdLD6oFvl59HapotIBCw8NVT58dghVHuhXxY3Bji1z +9PmQc9c0SmpcFR9rnsicBXy4vH+F1SpRNSy/vSWUXM2Hyji7yRuSaljz8dhs +D2c+OEh+sluooIY27x/JlHvy4VqqzY87HDXsWR5jb7SbD3/mzjvvoa6Gm5VW +xrcE8yG7mDW6yFANbS9HZiWd4ENCItXKN1VD9puDO4+e5cNRVs8cE1s1dJ23 +siT6Kh8GFl3esN9FDa3I7aGlWXxIvGSQXL9FDf92sVJlC/kwbedAsY2fGpbl +9AvPPKbne6LO/whVwzrTfwv06vngb9DOLYlQw6+xxfvFWvlQc8Ta62a8GqLE +4s1T3XxYz9VyeXRNDRce/vmb+4vO51T4gr+31XBatkNgoKgALmxxLdperIb+ +E1bSozIC6JFO8Jp8ooYN7TyZTIYAVAcC7B42qOGTWaYNEWoCmFu5oSz7oxr2 +nn5VctlIANZ/osdretXwhxQu/7RSAMtY41vkx+nvw+/1uTkLoDaO7Zsoro78 +qk8u0lsFME9pWsxKOXVkdbtp/94nAElc4KzJUccolFrEPC4AYayf72otdfSS +lzY4Ei+AU/ApPMVEHX9u/E0yUwWgLrLMW8tGHasfbBebyhPAt1WPR367qqN1 +37EBRqUAOj4eEYruVMebhx4xj78RQP6pmQutQ9SxZ1PhN80uAUwNK/c3nlLH ++8t1nhI/BWC15srIjUvqaFe02dxbXAiXv8QmFmWp49J9xuSIvBAqlLZumv9A +Hb995ps3CoTQ4+A39bBWHae9en935hIhhPlEWBW9V8fjPQcunrcVgnv+v2Ui +feo4cH/29lAPIax9+1ny+pQ6Tu9dXVSxTwiK+8KkL8ho4InxFuftkUKI2Wbc +1MPRQGFLlXPgFSGs6RjnXdHTwEzxUvGBHCEUn3wpmbdSA2sazk+8fSqEkq1m +9ZpuGvhuW7ai7nshDAv1Jxf6aeDVwdorMweFML7BNmj/cQ10q+9fsHGGKmiL +WAZYXtLAj2Xj4foMVXhTJHoi4a4GelbtsErSUwWnc+mZ3k80MK7cevU5G1XY +tfCh5cN3Grjgw5FhzlZViG6ss80Y1MBFo7lGTmGqECdmrEXO0sSvO6VQ+5Iq +CC/MHVvB1kTuZqP3mK8KFl4lrjONNDHt1ONM6XpVmPw848XhtZrY2HOSonpV +4Z8nEZezSxODfqStlZ2pBrWXUxpvRmriwaYTFh9JNXBYFPo6IE0TDdLeOyWZ +qYFNZHYvAzVxwOkErN+iBo7Prd4Uf9TEG2ExXtQJNdCINyp1mNTEynePexQy +1aBt08SpCWUtnD1Ru9C8Vg3yEijF2qVaaBolfeNxvxpYhv858WaTFv7Zcvr3 +bTl1wC3lR7WOaWGnslcLY4k6cJ2Dnv3J1ELlQ1CxxFsdhhL/XnN+qYW77Yyz +VOPU4bO9RciWX1po9bT9/YJydSjJuuKeIaONuTJuvzS/q4PsSQXXZEobKzuu +GuWoaMDt7YE7C5Zq4/fufL13Dhowqr8uefY6bdycv6x9IlIDqvvurHu8Rxuf +a2pu8a/UAOuzk4kzorVRwvRV9U0RTfgSEV0keVMb7WU3f6DMNGHBR8n7c6u1 +cZfPvRmx0Zqw38zY0bNbG5ekFBRk/qcJF/WyLm6Yo4O9y3/881fTAn2vp/P3 +6uqgdR3npW6kFjw6HLAe3HXwb4jxuaQ+LXixYwDOxuigXF58+pimNszzf/fJ +/7EOLtU0Fuj4aUO45aLMzVM6uGhWnbvDA204u5Opd9pUF1dfeaT/S1YHGpYt +v7YuQRfT1JpW6B7Sgf/6xRp3jOui0X9BdTtm6MJ6o3tvtocswplpcEy1VhfG +/4mwVLX0sFjj6cVp8npAjexTrN+qj/8DGpIj2g== + + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwV13c8lW8UAHB732Vcd5RVSQNZWclNGamUFEIyMqPISpFSyEgUKRpWRElR +KuI9IhUV+qlUQiiFUhnJur9z//L5ft7Xee973vOc5zzKHge2ewnw8fEd4+fj +4/0dX1IYn5THhp4BrfN0RxIUbVZs0rnMhsdC84YktGNItvCnC2xIsLfkk0FL +ZMuZx2ewweqxUhkDXQtpJzXT8Pq1i+co6KBBycbOZDY89BLSl0OrkBMEYxPY +4HL+ezML3aErsH7FCTaEBidP0tDxztGxHUfZ4NQndEIebRA7VR99mA2/FlFm +FqCHr4fwLw1nw3+dfl6y6CutPzltwWwYEX7awURvm/Q7FhnIhr4ZI21FtMDC +L4SKHxvy76b08t7n7no3bsteNhAJSQa8eN7+H9eGueH9B/uildHMdPujCi5s +6F8e5M2L9+J+e+1TBzZIFATkK6CPdm+eC7JjQ5GsZ+si9CrhZ2tYW9HBJ4bV +0H0r1kc1WLNBqr5wIS9exva6mgALNgx+cNZRRVtGGs7ImbEhK4BfbwV6+upd +I8KEDV4vpfN48W42aR72NWRDrs/FK7x4rj9KH9L02MB3SzVFHU2VVf1XvYoN +F9Vd9XjxHhvlGexdyYZ/HJmFvHhh7gsOkdTYUHs94bcmWu1U1v2qRWzoHh1p +58X7cEv67x5FNrTEShTw4qW8Ob1anM2GuFnlvdrotbNi4RV0NpR9ORvNi/dL +5eQ9Z2n8vnN6RqvQ+Ru540JkNtgvMR/URe8IOqx7S5wNTDNitQZaNGsixEGY +Dd6Nyz/y4lXXBlXy8bNh36bTwfrogIHhPyWzLHDRaZ7kxVOQ9NG2m2LB/YG8 +JD10m1Zf8OwYCzKuO1CM0LGOu+9cG2XBZXbjUx20bkznL5thFvxpVrEyQH+9 +Zrdq6isLiDHJmjXoiy9eHcjrY8HL6/P5q9GbxzaWW3ezoJbVSDJGzzOf/Bx7 +zwLdI1UBpujbHI7G5Tcs0DDPTjREe/jUBFq0s2AJP+OLCTrhdaDXh2QWiDzy +bd7Gy19n1WrVBBa0p5J6N6NX9nBFD8ayYO66Htjyfv9weql4JAtax8jN23n1 +/ufDkZ2hLGiK357mwPs+U4u25B1ggc3KuC926GfzAQo//FlAC7l8xRHNEq4a +NfBmQdnDf9I7efmS5MJJdxbE6Rs37EITNKuzbS4suHH2tIcrWpqR7rnAkQXL +H4hMOqH3KnzQ9bVjwTv7rtN70FWLF4nctWFB6LjWWhe0+IqAd9yNLOA47Gpx +Q9/Sn4/M4mD+lVyZHmi+tZab+o1ZcDtLId0bbbchbYGmPguuW8ke9uT1A+v3 +Pw5rs0Cp4skXH/TUNhWiSZ0FiZ3mw3vR1g770qSXsWB+25NtfujLu++6uy5m +gf9eseJAXj15zmmXKrLgkGzJM3+0mb+F0CSLBWFKCxgHeOsl6MybdXQWXLLr +3BGAHgzvLDpNY8Fuy/rsIF69nvDfuESMBVk7t2gcRHcnVrKCBVkQsdTNIxyt +lTY7/GieCV2+Zq9D0CfPm9eKTTOhE47NRaDfXkpN3THBhEz6RHwYb30UvNuT ++4sJu1IZNyPRR0qUtEaGmXDNfm1jNPpVuZ+AwSATiobzfI6glaoq/jvRxwQ3 +L//DMeiDj2YKWz8xodJHTJ93/5PHG8LZ75nw+e2BdcfR/q1vGZWtTCCuVjBO +oB+9URyab2bChKS+TAKa0uVbY93EhENNQ/MnefXXdyflfD0Tqg8I/znF61ff +pnf3PWLCd5mzE/FokdH1mhoPmKDUWzWQhN41kcJ3uJIJxmLE01Re/5h50/7k +FhO8rFX6U3j1zq9YQCtlQlua8+M09BKf8vuvXJmQNi9TUoyu8EvZ6e/EhPiQ +199L0ZwAvzFheyb4NvttLUG/3G+RnmfLhLGVJak30U7BizRNtjDhiXDP03L0 +txC+l51WTFD4WGd+i1ff4Z/8Qzcwwck2M/oOr/9GVotROUyos0ik3EanHckq +umHMhN7dquaVvP53JibzFIMJMxNKrgQv3w+2hpi9ZkANhz38Ae1cs5LW/ZIB +i4Z2LOziPa9WvDzyOQO47fZ2n9Dh8HWz3BMGrE1juvaiBRsahm4DA5p/kS58 +5u0fL/U9FMsZUJ/Q4/2N178+K9rOJjOAuSHTfxIdIfFLo8qcAYZ1D4/L7cL1 +wlX46LOOAd8epSbT0ZPjWxKYJgxwoFdwGWi9oSidFgMGLGt3D2WjQ3tu9ETp +MuBuRn/iAnRlx4dkjVUMgBZJfkX0n+fiBr0rGFChbqOohNYiDAbSlzJA1cP9 +ogo66K5P2vpFDDjWZCOzBO3v2vO7jY8BAduCVuqhXSte3R2ukQfLT1kSDujL +xXNul+/LA7lUMs0R3XVpJWlrpTzYZc2scEY7JyR5VZTKAycpx3EP2tHFgh55 +UR6mJ6Xf+6K3i9RFiETIQ5dXzvojaHOnMiNlbXn4t2+KPx+9WLP0UJi6PLj7 +K+0pRAsJFVc9V5MHDf1tUIR+XJarfVBRHhLD5PfcRHP4M5Y3SMlDiGs2cR+9 +5vphltcgHb5YGcu2orUnLaevX6LD7A6jNC5aumWDwVwWHVqDDgULOJHg99V1 +4bbn6PBYmuIojL690fjPv0Q6LDtx8IUkWv2yxpB1BB0yQK+XgVbbIPdhxJYO +A9z2Kh20wtm+h6tE6aBkN3VuH9rAM6SxQwD/3zh3fD96u65Q66F5OShTN9t1 +EJ3wdskATMiBk/dD9Uj0L5Yf2XZADj6FrFmTgK4vGPUIrpeD5VrwrgC9996s +ZMUROdjj3dvVgz4af5puHyEHYrKDtf3oCw4KytMH5WBZjHbBIPrlP9PVZv5y +EKNpVTSKXr32hNtrRznQMTl6iosWeyp+74+eHEwsqbNWcibBjU66q84vWVjo +f9fIC+2dGDYdOSwLb3dSp/zQSkYd5+GrLNx9FvFpPzojJ711yydZCNjYn3UI +fdRVap1vsyxoWV8NSUFvH+BffLlQFkZjyJb30FOjI99FdslC0M59aZIuuN5z +N8Vv2SELYgk/tWjoQNtSlYytshDpUwN0dF+Fj7OyhSys/ntjsQq6JazvhbGO +LEhr0BYboq/MvCsPIsnCffeefb7oDaINYR/qZSDi6bTFC/Tt0hAl/VoZePhq ++53X6AU2i1vOPZCBmxt0qe/RExlxSlvKZUDiVv/kF3SRilULcUkGpP9JKvDt +xv1p7UulaxEyIJsr1ayHfhX6ruWAOl7PrFErRhsxToW/UJOB7SWh8bfQRTUG +yssWy8DFh2Uj99AxAtnhfSy87nTjdSN6VZqL8k4xGRAvreP2oc/d+Bxu1C8N +VksviSm74vroG1YWvigNJQW5cwVo7vFVF+9kSMPy+ROjN9BFymFU1zRpUL5Q +MFCJHnebn69KkIahHYM/GtDpPdQu33Bp0Jje5DmAbu7SO//CThqeZvH/Vd2D +6+FdjEQGGe+PyxevRPeHNx7nSEiD8PN4hUfoJLr4vxFhaSjNXGz4BN258+yg ++RwNNgd+Tn6HDusobPw7TIPRhqW3Z9G32p8fdX5Og6dRm95auWF9vJAZUzlJ +gzNfr4p9R/tsUp0NjqHB157F1uPoW80GwvWHaUBKqMrkok2e75bfE0wDIdFE +B7o79vOmYuMcVxps2WpzZAM6E4xPyhjSgCVfYleAlrjnKSf0kwrW3D2l+zxI +YKsbrmD3nYr78siNQ+gLlaeW5g9QwYY6WheHXlpRZsj5SIWdXDdqLnpD+d/d +Uc+o4HHcIOANOqYkuWg8nwpVkU7M9Z6Yz8uV+l8cqJCgxwfL92I/ZzqRTtpR +wVSsrdkAPZXB16+ylQpnAnsGLNCzyVtS3SyosDKG39ITLXx4cOCjLhXeWnY/ +uYSm27PPvqZRoSzx3X1pL+yvC0Tex2RR4HDEzREJb+zXMnYna1MpoNUUzcdG +H5LI1ZyJo0Cir6fqCvTxKcP48FAKNDDCrm1Cn+0I1Am0pUDKnbmI0+i7ODA7 +SVIgTSUgRtaHBP9mC830Ysgws9E0f5Uv7t/vMyWuhpOBpmxx0wzdfC/+tdh+ +Mhw89Pv5DnT2fl+PLhcyKN0UMI1EG/WuiD1hRAYR/TZaA/pIQ0V9+wSuE+N9 ++538SDCXCJz9ASTYeY+TecEf+4P3HbFOzJuchtnKMvQrs/y2dbjObd1C39f7 +89bnCTc5a9xnanLChtFrAy2PPVpKAo1mxfum+zD/214REv1SYC6oETaC5pfv +Wlu8SwqSBr1OOASSoLTCd7n9NikwqMkRCEZvt5mQE7aUAttZ8tUkdH4c+YeH +rhQMt4SvqkNvGOfkKFCkgNgXc191PwlOtV/7m9koiXPlgbA5NDXlwO2TmpKw +12RbweMgEjxYOpujoyoJj58+kupFuzecSuhbIAk9Qs1Zc+iK6TxXjoQkfA42 +lzEMxvOFX4fU7IAEjKptL7yDvmBh6BeSLQFPi0q3lRzE+ucXVPEQlgDfFaPf +KkPxfTPvF92eFYc9xUEp/6FdlgWs4I6JwwPdm7Zj6Au2b3Qv9YmDnE34Op0w +EtDyiy3fEuLg4DRffRctsH5zoPVhcQhaEqtbF06CgZOZD7RHxcC7a8Bs5BBe +Z1qbHP8qBqq3g9ypkfj8svn61k9i4HJnR5Eu2uWNT0vACzGYkTxZEI1+s8So +u6hEDGzzJIJoh0nQ1NQtyN4rBsdl/MM4R0hQLKa2VfC9KHA/tdnVRuN853Lo +7/lWUVA/0SgwhN5b/uzq8iZRqKocGqAfxefZ+/2yrRSF31bH1wejswtK03NP +iwK11SpILYYEqWvVO0zMRMHMg1mTewzXU6j2rkM3RIDFCH1YfQLP209j+aXy +RUDBodL0J1qH/V/J1Qsi4BBVzqdyEvfD+pDppjgRaImu1UlC+1Pu5ci5icBy +g2Cv3XE4j5Tqd1fIikDhQT4tSgLOD71rPH9EC0OfHN08Pwn3N6aWWlmoMKSF +up/uQjfbLvkRsE8Y3lyJpcsnk8CmgRQx4igMMUbOIylox6LupGEdYahuF7t1 +JAWfF3Cs4vt3IRA7YPLUKxXnxakG/q87haDKsMhm/1msR60HTdc2C0E7d3DN +HbSc/81kr/VCcCZ0Rdg4OvtjhtyXVULgt+tX45FzJCio81o2ICkEtkYSQ6cz +cL47KWrbVy8IjWPr0+A8CT5SN+V2qwsC6X58knsOzidmPvMmSwRh6PVm1RK0 +dcgJl8sLBOFNirfkb3T1mxqGi6Qg1Ny4U3H8Ej4ve2X6+28CcKM8MrroMvbT +xeTYjgIB+LnPZP38VTwv6rd7NjMFYKnag6xvhRjf70f9MpoAOOdZjRhew/jZ +4kqJYgLwtyX+XDK6enZdl+VffnCiWH3ULML49RU7nnTwg3ZsmmNUMcbflGEO +Z/gh58zVbUtKSfDe1WFplTA/DH3MiHhYjvnZSilxmuWDmaOPzy68jfk3fbqc ++4cPyDOB7Fh0tZK+hlUvH1x/NRu++Q4JLvXR9T5U84FWo5nn1wr8vt5vzeYP +8EFh3ViIZhXW68fSRyl3uURENLuIWYv5e8SCN3lcIljQeVsKuvhyUoPCGS5h +B43hXPSpPf7Nt/24hAyfqNFgHQk29S/r7FDgErkPvhc/AjwfD10fW5A4T2Tb +njsT04j5/1e0vGz3HMGEH3S/Fxi/xdtNb/Mc0bK7Laofffay6vlaozlCZo7r +4voS87WuiP+V/Byh6yGYuvMVvs+pa50/22eJTdNv6za2Yb7kC+NXWcwSO52z +6zZ2YH3p5fVVaswQ6XEBrje6SKAr6s5Ys3CGqJv2Hdb7hP3pvZJNo+QMYTyn +w1+PfhaV+7Dj2zTRyGY/7+wmgX7j1bSJ/Gnic03cO/Jn3F/srqzVl58mSGMX +nTK/4HoKysmu5k4RbOd/vpRRnDfqz8q/HJkisgJVFR6iT9OSMnreTxGDxKl4 +z18ksKg4lCp0d4oY904Oqf5NgodjO2NtfKcI2eCxtqBx7N/hVP++tr9E3GaG +Bt80CXyj4gwl8ieJOW2G5i1hMjS+iKpacGaSOB/UknVAhAzKC0N1NKMmibGq +w8+1RMnwodZDfYf9JOG6vSDpgRgZtnBNla9ITBK3EykXWiXJWEfTYtohE0TY +M9tji6Vx30o40LlrwzjRFdxUuF8R96WCW6mNWuNEz6OsdAslMmyo+7FBU3Gc +CDZ5Zq+oTIaU8X13hKbHiP/ElwX+p0IGBXffpPLyMeISQ6PbXJUMHCP3NcLs +MUJ3oCB0hzoZ4ke2597+/Zs4Onc+b+EaMqjkB7SR144SpZWKF5NwH1xXnZTn +wR4lVAIq/yXvJoPb6+sHq6Z+EuEZCutSXclwVeCLrGvlT2Iui5mQ6UaGBZ67 +d5Wp/SQEzwoKlO8lg9xim75NMj+ICRcfS3IgGcSKNMdPfRsiorQDH8YeJcPP +kj/ygue+EjkU4UV+hWQgEzER+wK/EsdeRZ1qvEYGzQ6pd/9ZfiV2N/iuUi4m +Q9C86vnC2S+E4xr1Td0lZBjb7ixr4f2FMJRxf+JTToapmQZqouEAoZBQk/Gg +mgz8NpnilN7PhP7fnG8Or8mwbODApJ7TB0Kt6wk/CFOA8fr5UUHZD0QeZZu2 +vSgFRGCRaPvL98Tzgxa3fohRoC/nnXzAuvfEl4/7kpWkKJBtZ2qYr9ZJOD5a +P5opTQGpBnIU+e8b4q2+vQAoUuBXXhn/4Ll24pL0hii6MQUCibfMVTn1RN2Y +W95EGAVO/X42nkKrJwL3r6v6EEGB/EU1rd8TgMj+s3d1fSQFblJMJS2/1xGV +0UpHzkZTICa3rU/9UjWhu5O8zALnoMWPx9Jn+CuI61dMbvzJoEBvGUe0u8KP +eOIn+HnvPQrMP7y07OJLMOVe4Z9rn6ZA97mfskMe9abRnMjdVnMUqAvk8BlP +1Zva9cRcBC4FjioPvO1SaTBlNxXYOQtQYf7UipNKh56Ytjodz3IRRTtUdxer +NJsK1jdsSsG5jTs9vPFjTbvpgZnaf/mq6Avi3O/Uj6YmRda0epwLe8ZLUoZM +vppW6T1eMFxBhYEuytE1t0ZNx/4Y06eW0yBu1bMvBpHjpl2vNhYlV9DgmX7K +VHzLlKnG2pTpKY40fLoSZLL+yJzpD72b1PMj0pDutTLi4g8+Tp9zTuJmPIc8 +UilWTZIW5GgNvuk3s5eFNor2qJa3MGe8uaXOREMOonrqAsfSRTmWNWGm7wTp +QOtxFg4YEeeoFH72Y/2lw9r66e3zClIcf43r/33ul4dQ69yIRAsyJ51arPzy +PwY089/44GVD5ay8J9F6sIcJRa3xHee8aJwu097Vcj0siLg35LQwQ5oz3/z3 ++K5/bHjxs33zoloZTn+iAfuF9EIIZFYzV7+W5TQW3x0PXaAAAi7LQwrn5Thx +446eRqaK0H8mp1hRXp4Dz4MdXdSUwEo+zVJ+OYMz3VvTvqJcCfKrpEL9dzA5 +4bX1fgwzZdApePrHah2LQ69RkV58Xxn+B6PZcOU= + "]], LineBox[CompressedData[" +1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAlyAZrU5KGkCxgSnemrshwMOutnul +bxpAIggrZBXOIcA+FuN7gHQaQCr8p6h80CHAM+U7fDZ+GkBh2hxHS9UhwB6D +7XyikRpARxgV2ejeIcDzvlB+ergaQNyUb0ol8iHAnjYXgSoGG0CqT+4toxgi +wBmeQ4EFCxtAkXjSQgsbIsCUBXCB4A8bQC5q+l1zHSLAidTIgZYZG0DBrvmm +QyIiwHRyeoICLRtAgIrzguQrIsBJrt2D2lMbQB++2lwnPyLAxBUKhLVYG0A4 +V8PSj0EiwD59NoSQXRtAwRyDTvhDIsA0TI+ERmcbQEP+bVfJSCLAHupAhbJ6 +G0DzVTuua1IiwJlRbYWNfxtAklwnUtRUIsAUuZmFaIQbQNXktvs8VyLACYjy +hR6OG0BdJqdfDlwiwITvHob5khtAf0b7GXdeIsD+VkuG1JcbQO+12dnfYCLA +eb53hq+cG0DQODyfSGMiwPQlpIaKoRtA5JkcarFlIsCs8KOS + "]]}, + Annotation[#, + "Charting`Private`Tag$87187#1"]& ], {}}, {{}, {}, {}}}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + ImageSize->{446., Automatic}, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.7142376665939217`*^9, 3.714237904669828*^9, 3.714238469686336*^9, + 3.714239486913962*^9, 3.7143096688288794`*^9, 3.714309882196475*^9, + 3.7143102980925283`*^9, 3.7143103387980967`*^9, 3.714310788182613*^9, { + 3.7148075632639427`*^9, 3.714807570439906*^9}, 3.714807654527153*^9, + 3.714808257639398*^9, 3.714808797213571*^9, 3.714809145326331*^9, + 3.714830887652412*^9, {3.7148331530408792`*^9, 3.714833162206613*^9}, + 3.714835185025297*^9, 3.7148363566927433`*^9, 3.7148365448388443`*^9, + 3.7148372620837307`*^9, 3.714837316260206*^9, {3.7148375560333223`*^9, + 3.714837566324032*^9}, 3.7148377355398607`*^9, 3.714837769146194*^9, + 3.714837997802803*^9, 3.714839546849403*^9, 3.714839598429822*^9, + 3.714839641354657*^9, 3.714840047372992*^9, 3.714840761409927*^9, { + 3.71499340791967*^9, 3.714993419710197*^9}, 3.7153818721594963`*^9, + 3.71538193374149*^9, 3.715410887462751*^9, {3.715411027935316*^9, + 3.7154110734047403`*^9}, 3.715411127912764*^9, 3.715468677711277*^9, + 3.715472994817774*^9, 3.715712779461043*^9, 3.71571934539749*^9, + 3.715721031986281*^9, + 3.7157668159393883`*^9},ExpressionUUID->"a568b021-0b13-4609-8127-\ +48338de9ea93"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol3"}]}], "}"}], + "&"}], "/@", "func3"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.714907226585177*^9, 3.7149072267446632`*^9}, { + 3.714993456613233*^9, 3.7149934594500313`*^9}, {3.715472991144699*^9, + 3.715472994808456*^9}, {3.715721027122632*^9, + 3.7157210315542183`*^9}},ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-\ +5b974a88b162"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "\[ScriptCapitalM]0"}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, + 3.7142540416013527`*^9}},ExpressionUUID->"7b49aa4d-971d-4f27-8504-\ +e3da44463eae"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, + 3.714254694969582*^9}},ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-\ +42b781072e2d"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, {}, + {RGBColor[1, 0, 0], PointSize[0.002777777777777778], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwU2nc8lV8YAHB7751QSCEpVEpxTpEQhYyIIiOjiJC27FFKskq2jJQVCdl7 +J3vvve/NHr/n95fP93Pe+47zPs9znnNdwTv22hZkJCQkd1lJSP7/G6w83e++ +4IjK1G783gkkIOM+vkh1uqeolt/VR/otAeVnjbawhrxCceKJBnfBoYrTRhRJ +XuiAQq9MJDj50C/93Xw/VD7AxfUHHBTLfoTkzxs0/EiHhOodAfX4P+DxIr5D +K77vVuTAacSw+4GkwehWUPWcPTjjMq9yJHMIusi1upAAJhk51P5dIAylhfNs +dIM1n2xoVElGIP5PR+mZgwjoo9fc6Aj6hJISj4oogW2OWtRRaH9GvBc4Lz8G +m2oNnpSwiEYh62MPvoN1jjh/TSuMQTkGYXGj4Dt0HNLK1bEomSjax/OegN4f +O1JzpzUOEW+G8l8FFz4J9iEbiEesIn2WHmAOw8v+IjMJ6MDk6s888MkiuZn6 +1UQkfm6UZQG8fe9B6T/yJDRY+NlBOJiAPK2JYvGsyaiGTrjnBviiQJ9824EU +RF5prxYIlpa4zO0nmYo8At3KysEvxG+3lMp/RdX02hc3wK4EfY8XGmno1thQ +reQHOF+YnVqx8Tc0XSpmYA5WKJxGnnbf0X5NsaUIcCDH/heNL9NR6/m+wGaw +BEf620aVDFRzBp2iDCGgYy300at/MpDl6tVROfCQ8M1N05uZKFOcJuIBmPtG +93fm8Uz06PVdvS/gT7I1tXt2WehYu/X+PnCWmt0N6Y0slFBCP8UaCvc7zGWV +5JGNvBnUCi+DLVPYqG4z/UBzroLhz8HiB38ig4gf6GxN4NNs8B2HW0Khh3LQ +36JAy2mwkJtVAWdGDlIWFjA4EEZAeetnebrO5aLZorPXdcHaF84r91fnIi+j +AZ0AsHv8gLaIzk8UWktzqxQ8lP7hSsbQT7TQnmO3Bhac6JB/cT8PtWuPeB8L +h/flIiz7djMP3eYI+GIG1ju/ozTq8wulLaU1RoDrVeacnnDmo95ipe1mcN/x +F2068fnoidE1aaoIAiJKXXJwlCpA1+Nr7c+DJzS7bvwtLkAEx4wfjmBzw7bw +R1cL0fE0EtIU8JeeHoXb/YXIUvqnziB4vOX9Df97v9GDmZZ0zo8EdJYimbC+ +9RudKlRjUwfPO9Tzfw0oQm/fCT5zBx+izx6L2V+Mcq5rz+eBY07y6vV8LUaf +V7otFsFbY0PFRwVK0IZxzrjIJwK6VfBT9rVlCTrlM3zPCMy37RLBlF6C/t25 +ufUebJdDNZe1VoLqJg4E1YLv9GmdfoxLUTa9hCRJJAEtylx6aepXiibqn7We +BvdcbWm0bS1Fd4SZX9wHu6yMi4bvL0O9LEMnEsDPHJ+GTZiXIeOQuZkesCXy +Paj/vQxlZUulsX4moKvPqOqn18qQ+oM0JxXwGSHC56gL5eh0q4HSS3DcT40Y +54BypDtyen/u/8cr83TbtZejgq94Yw4c469/zf9ABTp3zmlAOIqAqujZ6Wqs +KxBPTFOdIfhDnQ6L6I8K9GxWvSgI/CpczDp1twK9OjGXVwNmCY3Zf021EsV5 +puTvgfFavSTXh0rkv/uq/HQ0jBuUpOwNVCKLPMe/98GR0R+C6cWr0OsG15kE +cL+KGeGscxVKvBFE0weWi1Fp8S+pQo7Pfh1jjyEg21YzqV36aqR/Y8FADSzO +0cn/Qb8a2bAce/MKfOR3VaR6fDUKqXWszgPz7jPMObJYjQS+FtIsgVvlC+xE +ztUgrQFqrSOxMN8U3C2XfGpQaKBWzC2wr1vkkO/fGqQ2HboaArbqeZ60cKAW +8fK3X28EO1QuHn10rxZN3aTNo4iD+HYUcxb6VYtYu04InweTGFv4L1HWIe5q +lZCH4JN4yHFYuw4JmFxl+gpe9+4+9S+6Dg30KgSOgLctg3uOztchQ2duTt54 +uN9VbSsvuXqkat0epwUuIzWZIPWtR1WrzrJ+4DhGSqPY9npkfmu1tQScQQxs +MRNuQByj153XwWkuGldUHRpQdk2AwIkEAqJwDP6rVdyALup9aroLFr+b++A5 +YyPa/fvSKxocqMwk3nCzEQW/Pq3YCT658Y9KIbURfa4vpGZOJKDdr3VMf9cb +0fgg819l8BnNeZWAy01IiOdY4gtwbVJJoWVoE9KuYX2RC9YjT3WwGG9Cny8U +GC+AzUTZ7X1ONqPHvYeVDn8hoNtTloUNHs1IZl5L6ha4hond9NTfZhTUfFYk +FCybqZRlwtqCJvp7DzSByVMF7p4524LMXE4JUiURkKpya6ugaQt6saoopgA+ +9pJvg8+vBekVU5xxAUt4FvSLZbagYyedNb6DiZF2nirdLUjj13vrCfDJyNUl +V9I/qPmH4WuBZKgfDZxHCsT+IMa3dTl64Liat+LM2n/QVubgeCBYPkhsz+nJ +H2ToF8ZXDbYsT0mei/uDCt0XDfbAQzud4i71fxAP0/hn2RQC4gp+7sdK/INe +fXKesgePmlrUFPG1IqPoqLPJYDKVm7PPL7Wi3DfGQUNghhWJ1at2rciyP32R +JxXqoVTKnFRYKzpCHayjBfb2iGk9XNKKYj0pSvzAq5VjX49Nt6I/raTSZWCa +AZVnymx/Ubudb+om2M4o9rLDub+IvytETOYrxNevCtbv5n8R2bsj6bbgd9f9 +B7bf/EWNvOfOJYCLftZlGv/8i8a2Ghv7wFz+Jm9bhv4ih/x+S840iP/YI091 +6drQwcG7VFfBCUd2XOdk2tAGwTrNG/whp/h1iHEb6vYcvlEMZjh/LV/Tpw2h +Aw306+DbT95QCmSCtY9UnvhGQFEPjR13etpQY/qSpzVY2jSeYpGiHa3WilyJ +A9toXCpZkWxHz09VcPeCn0WJp9AYtKMR39oZ9u9wfb3z5Sc82hGPkUyFOlhR +xpzN9ls7clbdi/cC8x4O/Pizsx1ZzIj7F4EXrJJuc5F1oLSBbJc18IpylIWP +RAeKLwuzPpFOQHW0Zhl0+h3I7EzbHWuwidykYsyrDsQ1bHknDvxPUeCQSloH +ijXVsOoFf9zd0iHr7EDJt72cODIgf4JdeppIO1GCG4OPBpjuj1feN4lO1GE/ +FO0NPnxWiBCl34k8OnaLisHyhsqBce6d6LSpxdj6/x6bf5P3rRPRF7GySGfC ++2PnWh3q6kSET6QXbcHkw7/r9lN0If806ScJYMvicWbr410oPy4urx+s/Oxt +bY1hFzKTubbDlUVAJVeLtuS8u5Apx2kVTXDwoEtqcWYXSt7RifAD+1gUd+v1 +d6FzySlLZWCujug3JLTd6Gmz1NVtML+YYF3hyW50/cRs5qlsqJfBV4MDTLqR +gO/f/fbgSN2T8/ded6PV8KmAZPDQ28Fek7xudE5IlGwEXCZlYnZ3rBvFTr59 +sf8H9Ft/qnzcWHqQSDo/qS744SURjbTzPchFvtkvEDwx8vbnjFUP4r0Zx1MD +/ta3v/5cSA963vrhG2kOAWl1DgZEl/aglPsJKufAV38SdzgXehDNZtO0E7iQ +2UkkmrcX/VBmC/oOvp3iSnXuci/iErqnMAWOnz2QOP2wF8UZ9ywL5kK+2PlS +fo3pRYWNhl9vgrNi/hx92diL+JVnbULANX78fJabvcgv0u9EM1hd423P7SN9 +6F2qzDbNTwJ6PKNme0+nD5GrTDZeBBfVuLQGvOpDLdfiEp+BT7rLcRR970MH +ou945IINeItPkvf1IW72w3eXwEo3j5+5SduPYgNmNMXzID7ifwpVne5HwdPf +sDk4dNprXdG8H+0x252OAltz1f5uC+pHsyOi0l1gpxdZLq7FYOU+GbZfBHR+ +yOnI8fl+dFXE+5w6WEVOsW2ddwDpWhxS9QYrRFx/1a4ygKiXfhiVgBX9+6Ur +XQbQs+xTLpvgBPF989UJA+jjp4SQk/kQv7wXfvS3DqB/oXv5duCbf969piId +RN2hShPJYOWyS08uHh9E9AEO3KNgyU/Rr4KMB1GXledV/gLIN/eBL4SAQZRx +6GmAPthpQnHBKn8Qcf643hQEnmpiN1qeGkTfGBm4G8BysmpPquiHkL9EnAVV +IfQTu5QD/MJDqJCeIx+Dl0hNe1/IDSGTxNscT8G3A92cprWGUNOqu1MOWLjN +/6ux9RCqJHnWswiOZ/7i3us2hMgqVJTFf0O8JG9s3QkfQq548qc5uHT+2z5i ++hD68lT3eDQ4L2e2P7B6CBFdg9K6wUcq+9RkBofQPRRxnKOIgAYHv94ZXh1C +VB02eVfBM3c9j0QwDaMvlyku+4FFxd9/Mjw8jM5/NustB5fFkZWKKAyjpBFv +511wWgb5x03dYcQgeo/zbDEBMT4uF+2+P4w4n7AWPAS7ODjYl3oNo0PTTpbf +wTbL8g+yPw8jOZ8P3NNgK1nDY+k5w2j+rl2TcAmsTwtryT8ah5FvDEnALbC/ +nep4+fgwen9JVSMCPPLRfaxvZxg9slPmbAMvZHcm73GOINHTqyNMpVD/456f +lJAcQV9/6OWqgsNtU/3uKI+gdSrLt57g95kfUuNujaCrqkJ2xWBvUaeIOZcR +5PLRT3sTbMbz6gZ+C5/n/Xj+VBn0s5eJ05+TRpDmjJbEA3A7A40mZckI+iOe +LvgVrO6y9tqlawTNkmXwTfx//NJO3PLSCFIK1eYXLCegvX79Dy60o0iUIUTY +CCxZe9GMUmgUJQQ4Hw8Db+Zts0bJjSJNvIJbwW4KFXH4+ijS0aa9wVgB+8vH +3dzztqPo80KekwpYTeP5w3jPUeSjuBfqAbadX/pp9nkUmbv1FBWBX790mTyW +O4oq/6rMbYC1BbQoyJpH0ZkHKgdOVcL951ewDE2OojCfTv0H4LgLXMw1JGNI +6Box5Cs4yjeANH/fGGLejuyeAGcV28zkSI+hhKpmIaEqiCeurfqCK2PIYczf +wRi8TuuVXG8+hkSCGirDwen8Wu7jz8eQMHXwgTZwm1bKTdqwMTTt1veCuZqA +Nmy7TstmjCF3haRRNfCvFTEu+9ox9PPZsoY3uObRzFbGyBiqfP7rdyk4/6Pl +zPbWGNp7tSO9A171nRvV5hxH7nUF387UQPxk1s9kSY6jt59XjjmBP/28Tsqv +Mo4qcUx2OphtpU0syHQcrWyUKcyCD2fGWDI/HUchLAbNh2shPh7T5od9GEeJ +jSYWd8AZ6XcOi38fRx3PukiiwIwHSb5XVY+jKuui2G6wTsrp6/eHx1H0EIsK +Zx3kn6wRj8DWOAo40UTQBLecqd7r4phAh1OICa/B4mea6aMkJ5DPR/ebNeAM +7waF+yoTaF3fhZuiHt73BZ5PyncmUJZMUxcCq3QxCIs/m0CnPHyjn4JLCii6 +uUMn0K3P8bY/wY/KbxYzZ8B4B788AazDat/FWjeB3vj9Yz/eQECO1JGHBcYm +0Biz2JINmHESp53chfNX5P75Aub4V2iryzOJlsg+542A2YMe3HWTnkTnxHoS +BBrheeQLY3PUJxF36L1QQ7CtHhn/P8tJJJuk/SYUbNOR2KvwahIxlvn7tYJn +VmiH3n+aREGX2AOYmggo9W6wxHLOJPoZOhOkBi5KTSo3aJlEvfuYo7zBFrtp +SQ0zkyjj1Mv0MvC2Hl2vKuUUitY8W7ULPiojavLnwBRabj03ItcM+w1L+7Nm +clPokagX+aPm//sDVes9nSlk+otdPBs81CG4kmg/hW4Rx3UXwbGvzTr0/KdQ +gOKm99EWAsp1esrDljiFqvZd+30XzPyzI7+zeArlj4ysx4OvkY0VJ/VMIXm2 +H2eHwJGH2cTd/00huX2lL/n+EBAt/58tS5Zp9NiGpv4G+MWp97J6R6eR6xPf +/SFggl714DXlaaRfghz+gO00R1evm05DnZFoYGwlIMNwg5d3nk2j9GoNCTXw +x5Cop0/DppH149ggb7DRLdGFqKxpVH/x8HYZ2P/2/e6GxmlkGdNjuwdeSRxD +lNPTiIvp99C5v5BPGlSHVChmkBttg6EreFjlim/IgRnkyUrV8wM8v3LMfl5u +BtUkWt9aBk/pi/Ve05tBv1T/TR5rg/g/8Kup0GEGab1IcrEBzzAYqp98M4OW +q1/QJYG7m/30cpNnUHnq4/hR8MEr1YsXK2aQy7fQCwfbCShzJ4i3Z3AGVeu3 +jRmB33+z7n66NYM0paTeRID9tVskRblnkVLpV7kOcBWfCv+g9CwSDLs4z9YB +63Xn9aSYq7NI4ywx4Rp429m1+Z4NjJ8pNn0N/hAiF67oPYuyBeOEa8Hmkgcp +ROJmEYfHpxnKTgKi3k3nZC2aRc8XUnIvgl80OzRT98yityv1Pi/BrRsLMrSr +s+jKIZJbhWDpuYxLnGxzSIH70tkNcK7/BWoJyTm0dyti3+kuAmoQPPZUQ20O +XX67tesIjrIlSXhsCVaymU4HK9qreGa4z6Ei1rGuOTBrbLDAStQc0gq+2yjW +DfXjuIOzQsEcYjclVFmCdwIcAkI659Ayt3dlPLguTMRsjTCHgq8L1A6Bn6Ue +2DNjmUezGfl/+HugPz1JMO2VmEe0LQaDhuAx1pOBxqrzKFdzczkM/KXQxXvG +Yh79a/1I2w4ucdPScHefR5fWzh5m64X5tbk5fih6HoWadVy+Btbhl9BqLZhH +eb/s7F6Dt68YBft3zSPpGNKPteBrkV7fNf7NI9eCN3VUfRCfWDFxP9sCOv6D +lUQJPCdx4glRcgE5ybyWewWusZk+3nVlAW0NbD0uAg8VMNRWWS2gSsvbRVvg +MZIzKiVeC+iLQw712X6otwL0GRVxC0jy+7auC5ij8jB5WzEcXyuTkg2mqjiq +tNC3gKydDEiXwX0xhc7smwuI0vDeLckBWI89n39U5F5EfcdtS2zBL5nYcl6c +XERVX3SOpIA/njxQU6EFtj8SPAG+euVKB6f9ItJHI+SHBgnoNIXCiMPrRXSx +zuOxKZiiJnqhK2UR5dXQEaPAlrr7dtWqF9GLJeeHfWCNLR32mrFFJL5RvrZv +COrd2AseUdIlRPuZ4KYPTv0ymLbMvIQaP5Azh4DT3grXlAgsob8fV2JbwXmE +WNuQY0tI1q74LMswjNNmhdufX0LF9VYdGmCX5q+a164sIT/7+UcBYNvFyQ8n +DZdQGa+6QC2Y7Vyx5QHrJcT6xqOWagTqpWxANbPrEurwfv9YaeT/9/klj9Jn +CbnWP5J0B4dfszlHGrqE6A5ITxWDf/ZJa5ElLiFlpZIvO+BS3ptbND+WUDKZ +oM25UQIKo0LnOMuXkAj/denH4MTr59iOtC6hZ7d093LBm01prxSGl5DFm8N/ +iOA0umX/m0tLSO9hZZL0GAGxtFkcf7G3hM71nvB4AP6+Yv3gC9My0gq8a/Yd +LGxodK2NfxmZGVupzIGj+SIbqY8tozUWaWnxcdgfZfrN4fPLKMO1/KAV2NfA +69vLK8tIw3I/xxdwr/gSa4XhMgpPPMMwBhZvO7qfyWYZTTDw0gpNQPxwf6wz +fryMCmyK6EzAbpmfBbN9l1FH8CHWKDCtX4QgU/gyemd0ha8PPMe2XG+XtIxK +wqUkeCdhPt/RCLXnLqN9BzrwDbDYeyWRC1XLKK9a1jAUTCdI15nVvoxCrXVd +28B3QorOiI8vo0cDxz6xTUH/dLXmShIR7m+nuEwT/GH7Das4xQpq+EK3GAh+ +5+gSkMW+gtIyGQ42gtnuTudj4RU0uF2hSz8N1+O7FtsmvYJWzKXfqYKdLrBg +u4srKLXuerMPOIYyNJxRewVV04uyV4EPCaqlZZmuoBq67zcpZqBeBIU+M3ZY +QY+TxpIvgpWvTdAxvVpBlyrqNt3ATUkJNyrerSAv5dtaxeBWUfm7bjEriIw1 +Nm0HnKPJd+Zixgpqp3nLcH4W3k/P9wbakhW0zinq8AQsd+bO4c7mFXSA37Yn +D2xzMEE5dXAFxdDqq6yB6RdHJD0WVxBzyUz+qTkCejrwZsh0bwUFSopIO4HH +ODmMlZkJCCtQfs8C130eTzxxAProHj/JZXCy2MPCg8fhPSxlZh+fJ6A34cfi +uBDUbftn8nZgJQfvG2zXCMhecao+DSw+vDjEfhv29cbEW7PgH1f6zu+3h3n4 +Fr0qtgD5tlB0X/Ql1AXh6fdW4Jo4eudzbwnIK7tZJgk8ZnxaRyca6ramdvc4 +WGE3m+FhOgHJzNl7HFqEfGfdjA6DfUfJiyPSZuA7zC+Yy6BvMNx5NB4LHlHK +NVqBuuBgZPJ5CLydvM9PdImAfEIGDQ7AX0vPA6HmJETUFU3kvQU22kBeX1iI +aNcpaigSvBBJ0F84SETWLH2pvWA2+Wzm81JEVHsv7THvMtRP3/Vvby8Q0ZAn +k4YB2K1A/uS0FhGV6ZOKhIOdjHbiVe4QEfmIB2knWNMva/ebIxFFCIWMcK4Q +0Dep7kv7PIjoJM/JGh2wnsP8E/9gIvpaeTsrGNzAdS+aNIGIwkS5Y1vBUW9a +f7z4QUQFygYfWAnQ/2REFZJWEhHxgMhrTfAY/7U8/3YiGs9/7PsWLJV0J2Xf +BBEN8ur5NYF/HjYI+r5KRB6XfgUyEiE+crIcVKn/oWjFuHB18Ol3i1dmuP+h +s7wsSQHgT2eCBINE/6HfLaT5deAu531E+bP/0I2HLn9o/8H6+Zyuckn1H2Kj +vT+vAua7NBmSYvgPDUaNMfqCT5PJWFnZ/kOUqE+6Gpy26yB/7Nk/1PxP24hq +FZ7XW5R7/fU/JPv3sv8lcG5Z72rN53+Ie/hXoSfY2451IPr7P2Qvk0woBxdq +X2t6Vgznb2c9Tr4G85/FV3u75R/S7PlndxFMskfSojL8D63rXM9+BV6L8BiT +XfmHfPXEtkvApasSNMfIV5H2kosqyToB9Zh5nxflWEUPz5z7hMAqN/d5iIms +Ij4l5+UX4DLaB/0nTq8iMdFD6kXgd3McGgqXV5HjtvLXHbCEdvBfrRurKL69 +j0l+A3z6kaOt9SribR5zeQbOnlM/GvBkFW3tGY8WgAdsYvcyAlZRssdlnS3w +3ijpcl/kKrr1MKZWbhPi8vs2CfP3VZQ/fVfxCbgh7aDU5eJV9Ifyc+kvcOzm +trtXyyrKHVVQ2gBLKgiu1w6vorex6vVntv7/fwf/ew7CKuowqtRzBevPeWhb +UKwhjtPJEz/BLAfH5Qo515DeNeKTNTADy1/1fUfW0Ex1MrvsNgEZlA35PTuz +hoJLKjJcwGm3Ywnjqmto4/Zl7Vzw81fJAbo31xCqPL7+D+zW6H+9/t4aSuJ+ +HndqB/pR4371yy/W0K2nklrOYJmaU49r364hTR5FihzwZo9Yj1bsGoplzy8g +gp1UNR2GstYQz4f3j07uQv34gbFzxRpqKKuXdQJbUgersHSsodA68+1s8EuP +wYDMyTVE1WZUSQDfeF5Mb7Cxhn7QZr+X2YP8km+opaJfR/oRluYPwV0N0dX5 +fOvIM9VFLhs8EtJO5Sy5jn7dH+EggHvKaPxO4XXUwppCkIY6kIfar21rraPG +stoOx//rQm6nUa3ZOlLPUizKAk9e+pYZ6byOdpm4UlfAZb8J11x81hE1Pf4o +TUpEDL6qZ/Ui1pFdZ0mgI7j+iYb9+a/raDopzCcLfIcimiD6ex21fiv3XAG7 +OA9U72+G4wWUvKXJiEgxP22eY3gdpUvyvHYE11F8teQgrCMXThSaBe7Ze3KS +l3IDLVHlJayAKziLbxzm3kDRcu4/pcmJKLGKt/2M2Aa6PBnZ5Ai+OyT1Vevc +BjJTpZ7JAse+Tu57oLGBhMJKaAng47nCtqG3N1AVQ80xGQoiqt5UuVHmsIH2 +j/LpPQRb2xYlEj02UNCNIvds8NQncd1joRvo9pev2QSwDfkpq3vJG6iZfmxK +hpKI6HK8hjLzN1BopaWQE7hOpLJ4p2EDveSQMfkBNhGOpNYc3EASp1TiiGDL +rR+/kpc3EItV4tRJKiJq4c7vpKbYRL7LqjLO4C45PbP7XJuIguWUew7YbOXk +rW7RTfSc2rL9HzjvAVndlXObSHxfn8RpaqhrCbbJFRqb6Id/qK8LmDjLv6Vo +sokSoj9M5YLVC6vLax03Uf/ndvU1cBsDN4We1yb61ngjR5YG6vLVgt9TYZuo +wI5fyBWsvGG+8ip1E5W1CAXngc1PVMQL/obzy1rRbIBzxfz/VjdvoqMLc6/O +0hLRur6Vh9PIJso8n7H3GGykx5pz5N8mSr+X+SofTBN0xmaYegu11y9Sb4EP +0gQlxPJuIZ0vNu/P0RHR3zPNFlbHttA+JUHBZ2Br/uT0U3gL5a2z/SgEx2y0 +eNBe30IxDOjKDnj8KMnYqMUWetqaMCFPT0Qs1nN/Kly3kGOYovcLsBOPxrW0 +gC0U+Y1XvBiccK7H+GPUFqI0F2vdA/cJqu8FZm4hcib7F5iBiCKx0Sn/ii3Y +d81IvgKz9VaQvu7cQr9eRo6Wgt3PYMsPM1vIf8k9kowR1qFIP/P4nS1UEvvZ +QBEc981oN49lG21NzvJ6gjninU+1C28jS577QxXgG+1B9Ount1GE78FUSiYi +uk60cxdU20bO7yldlcGht+o/aRlvozX//Wo+4I9alga+D7ZReqPpwRrw0LG9 +wkqPbfQuq3OThpmInh3Tq6EN20Yiwc+6VcHITOK5Tuo2Olp3rdAfPGSg2J/4 +exstZWvG14P1xIxndlq2kfnXF4EMsM5ThJ//YjS2jUIZu59rgDX3JbKVrW0j +DtnbDoFgNdmbUpL0O8jNm8W6+f++4IUwRazADio0mjNnYSWiGbby17zSO8iD +c8VcCxypQdL48dIOSmQTtH4P9h+LrRI02EE0Oa4Of8Hu1vZP0+/toD7j9ecc +bHD+7BPzim47qOZBdKAu2D32O/9g8A6q1bgfHwrO9c1iepW0gyyMTAs7wR86 +KcvECnZQwvaTbh52yIf4h2e7m3ZQXvCvTQNwTG61y9uRHRThx3fwE/jeh8an +6qs7SPBSvGof+Ka7lhoL3S66L6bxiJ+DiE7zCI718O8i/eh9KbfA37XorqRJ +7aJvzDSD0WAK+j43z0u7qG2Ee98wuNbOwsfMYBfpearoC3HC8x53MVG9v4ve +34yIMAO7Ng0wnn61izzbaIcSwDj+QZBYyC5quBEhPgHmWNmZE07ZRd16lx8f +4YJ8PGogJPJ7FymfY2+wAu+Y6Moc+7OLPjhuC6WCuXuqBM+P76IHNmQvZsGH +jd0XtTZ2keiHQ/0S3ERU5WoUZce4h8KN72A78I0LR0+8F9xDgTIFSengfq6q +L4Wn9tAvf0n2ZbBJDDnFguoekm8vcJfmgecrL1A9fGsPkbrdWX0IDh2sfmzh +uIcOkAnZ5YCf/yQJ/eq9h8ibN6ZXwd5kOGb94x5K1Ju2PrOPiIRmTD6qp8P1 +mJfmH4OfzCp4J5XvoXl7RpcCsHhHjgVt1x5Sm8dkO2Dtx3FyjnN7qH7b770C +LxEdY3YgdyAhwRe4pw67gY+Yi1mm0ZHg6kzD4lLwWJm18iwHCc5VHr5Jvp+I +3o8LJh47QIJ/XX26rQTWbLjg8VCMBAcrisZ6g90mfw0XypBg1ahJ1RowqeTT +UloFEszRm7dKy0dE9M4uwoYqJNjf5VPSFfCh859pvmuTYOapQKM34NR7ww6U +xiTYL/M9ZzP4OespE5O7JPiJ+pdWFn6Ynw7/tiIHEnzpbG2wNnjsUXvzwWck +GK1u3vgAjtpHc93bmwTbkp4T6gA3aXDdXnxHgnl6fRe5BYgohIJIvPmJBAeQ +j5UYgJFrCGdDIlxv+0roJ7CExmIpyiDBzcol9v3gwoDVzdx8EixhiTUOHIDj +ZWJKpSrhefrrJU3BApQjXBnNJPjH0Tsc8WAOnLUl1UOC23rIdsfAroNUDj/H +SPD7+99mD0Mfn9vQ8QgvkmApS9N+KzDdLg9r4wYJxpoCf1PBfX8r5I0pSPG9 +r6MNc2A1o9bdJSZSfJYys05SEOLn41ld332kOGTEq+EB2Ll25YLwIVIs12ja +mgVmbFutLJUkxZ9VlfqIYHVmNGJ2lhQXTUjMnBaC/OKoDKNVIsXkR/dvu4LZ +6twns66S4ieJTGwF4Acijq23DUgxST+VxA748MobAxZzUix6i1wNCROR6d0/ +zyvsSPFQLvm9V2BilCx+9pgUf3Omfl8ObpctjJX1JMXNwkyFlIeIaMHiZvxq +ICle1OaeuQymi2VV/hVBik+/E+LzB0tV9/q/TCDFKvePazeATTpzHVXTSfGC +q/xrJhHob/RidrnySfE+RfU6TXDPidDjUxWkOM/4JkMwmMQnlOp3MynWM7TR +bgc30Md4hvSQYok610juw9CfUGelOoyT4rsXvWcMwELG9Y+1lkgxz4335yPB +gb9mV05ukWIUHvl+AHznHTs3HxUZVo9KmDt4BNaH04qTVKxk2HAnRc0MLGH4 +1PzffjLMqJ6WlggW3ff77eRhMuws8JVtCtwhQWfTL0WGDzJ+eSYuCuu3szmx +4zwZlsqInLkHFlNvOt52mQz/iAo0SgfLXVPjb9cmwycePm1dBour9/7uNibD +7yvuqJ8Ug/rR7Mk2YkWGNSSU6lzAUn1qfAsPyfCq8gH1X+A7z6X6dl6QYZEM +wp8tsFHv+eus/mT4LWnpTQVxItqQdXQXDSHDRW3e027goOIOG8UYMnyxUelp +ORgzP2C885UMK7ttslAdJaIBfyVbz1wyrBCclKoCrh038EotJcOKsVdUAsBM +h34atTXA9ZQmphvBDCNmK6RdZPi68KO3LBJEJH307mWZUTKs07dz5jpYiLvW +yGqBDNsxPJkIAWeNBcnEbpBhZDgb1gUmiNU19FOQY1dTLY39x2C9EH4qJsBC +jg1qv1LdAvuLfVe7s58cT0htlseAOWjuS6UeJsfy+LzXKHi1t3TgnxQ5vhrq +oHZYkoh8FH5evyRPjl93R7Bbg1PkbwSFq5Djc99/DH0Fn+DPCF+8To4LCkoz +F8BDvnU2arfJsWliibfUcaivfdk0KTbkeJw987YTmOO660N6F3J8Mf39+Z9g +psZDaQ6v4Pr7Lfg3wTbZVdm9r8nxKrkomfwJItqMtA1QDSfHpCy9My/BT6IF +TxbEk+MDM887y8AWVGvfT6STY3SOpYYS9vHdHZvbKfkw/i2oUAWcpn7+wJEq +cvx9njQnACyWXceV/IccZySaZDaB8wRyxyT64XndvmWySkO9PMDsnzNFjjeP +TuXogJ8aTVBfJJJjEj2WojCwo5DG7dY9cnwjVaSuB5w7pxNkSU+BTXuO9PDL +QD/uzxy9y0WBE99xLZiAF4Tf+n0UosDtL5YpE8BRSxNacpIUePtanuAkmIlB +fKP/LAV+V2RzQfwkEUmG2bp5XaLArQ9oLO6D81uLp05oUeAl/qDXGeClBTmZ +ISMKHONMkUcApw4smwRbUeBa8TuTp0/BfIdtOKo5UeAbKym8T8ByKndtKN0o +cNPTXq3fYFJRLZWKAAp84Onqa5LTRERV3sjoE0aB9yVv1iuCA5wJBRrxFJiQ +O8nkA3Yy7L7Ok06B6wx+69aBk8+GdUzkU+B61acxjLJE9DNH6dKvKgqM5AUX +NcG3rm7GvG2F8019v/ABbMv0Z8Z6gAJPUR0K7wQzxQwLq8xQYHlNtxXeM0R0 +xu6ShvgqBW50Lde8BaYq5LJiIaPEwufns2LBM7v2zpuMlHhVZ4dnHPyqzNZl +ah8ldnpOcBc9C/00o8i9HhFKnH+/eckWzPvrp36LFCVuHn53Jx3MF4fk6uQp +sU+YbNcKuIK2m6NGlRI/vFyudVoO5rM9ZqpWlxLLZ8g0PwYHmfzIbTalxLyB +vpq/wW7yUm7d9ynxidjSdpJzRFQkfEp58jEljk8YuKUEflA+QLvhBefXG5z1 +AQ+wajQwvafE6o/Ln9WDdTijA0WjKPG9On9W5vMQj++JWsqplNiF9lSqNpg3 +7z63VS4l/rBeqhwK9iQ9OvSmjBJfuSE12Q3+IKvx7WcTJfaccQ/gl4f68Pvf +y/EeSvzEPlfG9H9bKhtwT8J8pdUPJoBZH5rKaRAo8Z5p2dspsCW2PuSzR4lZ +9D8qSijA+rvkxlNJT4Xvql3fsgcvHW3gpuahwktU87nZYJWHdsIah6hwu8Zd +lzXwXZnX58NOUOG0sdKz5xARXT6oZj5+ngoLBG+TvAT/udb4SVaVCh8R4G4o +A6+Jnxt7o0uF1zVYP1FhmK/UXwpTplT44eTMfTVwq499mrIdFb6SE68UCNZ2 +9JBMeUKFZ9zOHWgFf5Hjq2L2ocIElqwdzgswv5OmTk+CqbC7BPWQAZgq55nc +dDQVro+Xq/r8/3jth31GaVTY87x6xjC4ifMv2988Knyy7FyUyEUimpAwPXK1 +kgr77dG8swaL71jdaPwD4+XZXt/AfB4cSZoDVJi169zLZfCuXyBH1wwVzqKN +fXZKEdYnCbI4szUqTCI6+vwx+EPlR00COTWW3CX1+A32pvYU9GGhxsdv7gSQ +KkG+Fc9wHuCnxvx07eGXwB3bW5IFYtRYfMQ3xQ+8z2Ds/s3T1NjrG09RI9hv +9M/fvYvUOEzOs4P1EqyP/1ZMk69R40+361d0wQWFzvt0jaixzsw820fwDRm/ +LUpramz7dfb0ANhp24i2wBnsXHFLSJmIHDoPKjm5U2MDPld/S7DXFsU3qbdw +/QdU+angx1pylwifqPFBZfv5BXAhwwrjr2Rq3OWQdUjmMtTvGWMajxxqPF3d +fPsROLok/ZRWGTWe56+OKrj8//cTvGHCzdQ45VL48B54lbnl2GYvNTbhURRV +UiGiixMUW21T1DjGptrRF/zx2dxe9j9qHMomUtoApttfIB9GRoNlpm6ys6rC +emuVmPOCmQbvlNpa64INeoesbPhoMKmrTnkE+DxT/A1DMRr8bpxTcAB8r0LQ +++ppGnxrKN1dSA3q34PgFWVFGhx1QWjKElyicjxaUZMG243c0/oKHtmSeKNk +TINlY94WLYLlRCt+q9rQ4Au6/sdPXoH86ZGQvv6IBlv3GCW4gptoYmZNPGlw +Kh01/2/wTxH9WccgGpxV4RtBqg71PTpA2i+KBkePDe9TBt9KfVQW/5UGS1xi +i/IHU9XrRpbl0eC0qn2Hm8EVIqal45U0WFtxPZNdA/oxlnZpxr80mC3q24Ub +4Pyo+eUzQzT4SvrZ9khwocnkntU8DW4wjrw3DI7h3TP+vEmDD3u0Ux++SkSz +0w6MHdS02IJi/IsNmPfuc2Z2Tlrck1+nmg429zCx0BGixemvvZcI4KlIA5aP +x2mxqjHPpzPXoP9ITmIdO0+L12jcVJ+Dmz7420ir0WJ9599bpeDJ2xf5vPRp +8aBnSyaVJqy3tsyifea0eHXfL9sr4Ksh0m9lHWmxEPcjsXfgQwvz2mEvafHE +bbrZNrAru4fT1mtafHrQMWOfFhE9oj/5z+wjLWZ4kPH4FtjFTKmjJYkWx+yU +KceDD95e47mYQ4uz7VK5p8Dl+u+KfpbR4o9JlnMS2rAetl2vkWqhxVSv1yoc +wLNL3rIZ/bT4Ho1xbC54F9sxyszSYm+ysFdbYLnya1fy12mxkXGiBb4O9Wzd +YeUSFR0+Reur4QWWHuCl6GCng3xSOFsHds8NemUjSIe7JmtFmXWIiOauwD3y +43R4ZkGUTwesN0lTGXOeDstN32SPAOvGRry5qEaHv5bcYRoAu6Tsq57Sp8Mv +b8szCuvCfu5Wq2OwBR2+nTXLbAU+M8z4/uJDOuwZd5/rG7jPg+vwqhsdVjpY +fnAF/Oio7InvgXT4L9ucpKwe3J9rQaZNJB3WvDeFn4E56Be/Hk2lw9rceXql +YPUnAgeXf9LhPdKbD6j0iWjbPZS5oJIOB/H9eXMF/E8l4anfXzr8U5s3/R24 +ozrEwmiYDqd/ON3WDk7Q+NUks0iHI1pFdnhvQL4/Ns5j3qHD01uTYibgpso/ +wkt09Hh275lhIri1zIKtnYceB7aOBc6AO5qtvYoO02NakwPVxw3gfXVIvkg7 +SY8VYyTIncEsYZS7URfpcYcbg2I++NcqogrVpMebhCLvPTCH4YnwoFv0OGNB +sUnJEPpHZrGcoHv0mN780z5/sK3J81uhT+jxIaVKq2YwmcCrkGhfelzpU1rA +cRPixc335rdQeix28B2bIThSfSqzOIEeM1JJ3Y8G15z6F9GRRY85JBLqx8Cv +qSk5V0rosbj39DFxI6gnlHaH2JrpcSEj6Qd7sHiAd+3pfnp87ufMzg8wx1wi +pcksPV51/WK7CU6YEe55s0GPS9RP9iNjItK/eUOlhJoB84l90PYCS8lGaq1x +MuAnFFX1dWCrQJU16UMM2LmvVoXlFuRHZa7cQ2kGrJIQXasLZqC8wJ+HGXDq +jctXP4FrRC7GkF5jwKpLJR1D4BNanJXXjBnwbRsGs8O3IZ/DON/E2TLg2EIx +gi1YMyZ6Y+MxA5YZ5vHJBAfcZWHQ82XA4t3dAmtgtsaKytxQBpz3+V7+eRM4 +HyevKF8iA64S/2PgDj6cY3fSO5sBn3pMvVMNtvASnCOWMmCd18wJjKZElGQQ +pGnVwoATjKavXgeH7xMwGxpgwMLTH3bCTf///vSIiPE8Aw47wZYxAN6uYQ4f +2ILrnTC1PHSHiF7Mnf5tTseIqWdeHbQBCyzshizyMOL4m04D6WDGxlrhl0cY +sZ7HmZh//4/HbN5lP82In5o0WZwzg/qdSDRLU2LEkmunjr8Ckw3s36d2nRHz +KtlvV4HpY9t850wZse3VJ40M5kSUbu/xI/gBI15g1Y/TBt9YfvMZvWTEh4Ip +n4aDu5oMLi29YcQpbV76A2BJb41viZGMeKCjU/aQBRFVabV03P4K54/Z2m8D +djBXLRfIZ8TvZJbJM8DD0QedRmoYMX9w3uI/MOnXopnUTkZ8vkJr8Jwl9FtZ +r0VdJxjxRH1h6ytwAzlRUu0fI9bK2KitBjeN3do7SMGEfR7SVDLehf1Ci+yn +bTYm/PHgdPl18MTMNHm/IBO2+vmpKuJ/TwzJlZ1gwv+UDjYOgscyfS+kISYs +V+fSKWJFRB5vru77dJUJ82tHj9uCVXyiywONmXDfeMRaJlhZfvqCzz0mfNbf +knEdzKfzMcTzKRP2UKU8omAN8WEuWOLtz4R7jrkoeYKfhc6XvYkAn/9lUQee +U7KPjkhmwj9eNfmz2EA/W8aln/oTzk+Tm60HvrunM1tcxYTpuu2HIsEHsz8Z +97Qz4f0k2yyj4JpBo/SNMSbc5WN4ScwW+oMVuhF+IhN+9SzguT1489K+NWVy +Zuw7GfgrB9wdvLXoxMaMHbvNN7bAF/+INCUJMmOiIaP8xXuwPyNlDB48wYzN +n/h6+oItPhzGfJgZb1zqaG4CRx6c6jC+xoxj61cFOO9DPLrU3Ei4xYwLuWYc +boLPWCtUL95nxqfPZ9TEgg+slAjj58z4uKKq8BRY9V2NfchrZlwin/NK0o6I +FI83pS1+YsZp54mjTuAvD9T6rn6F82tRqRWAn3D/3MvKZ8b23rPZpPbwPrsC +efjqmHHLSrygCrhIVF3Uv5sZzyQcDw4E61y0ObEzxYzbvgXStIPzpC2kndeZ +satA6av9D6B/He3j3iBnwbz01bumYDvLFY58ehYs5BPzMhnM2y0V9JydBfvG +aVAsgjmuGb5R3M+CqR2bXp9ygP7myFE6BmEW3EMtvO8Z+OERc5pOcRZc+fhK +ShnYk6zSN0Ea3HdZntYR9l87jK+d5Fiw1AWe9mvgwC97bJcvsuCG0sIHoeCq +b4YCfGoseML+FEs/2Ixr6DtBiwXzmLtnCz+EfvOkVmWjAQvWzow3tAGrZ9rf +STVlwc4OEZSZ4DCVHW8/axbM8cvsxxrYX6pQxtaBBf+LIrur4ATvi9Xe+tpj +Frx2zoXfC6xq1yV6+hULlk0t6qwHi6oWOB7wY8HErd4QNmeobyd6L9MHseCQ +a036BmAt263kjXAWXFcYwh8DTl0aDJ2JYcGhN6QnJ/4fp9NgG0hmwa8vJvw4 +5gLvn4qary2DBdMHzXo5gX2aWn805LFg79s0NwvAdvLO/dUlLLixblOG7BGs +B1nZoZU1LLhpqoxFFazWdH24soUFi/SaLL8Fn7q+v6imiwUv/Wxr7wCHvW45 +1jTEgt9FCRTxuxJRNbmcVMcUC1ZKVUg1B190E6gdWmLBePPkx69gz06l1fl1 +FhyVQhq4Aja1cfq1Q8KKOdsSvM4+JiIlAWd2FlpWPBkh8MoNfDGLiVKElRW7 +7rd3qwYrX6B9e34fK152CPVgegL9xMNjWXqCrPhd8Qd/XfA9BSX7h2KsuFTI +JiQSvBnCVf1eCj5fxJUwCr6Rcj//x1lWnJf2MVf8KREZ2bCrdV9gxQvMqw0O +4A8tf1xI1FjxKp3YZB54QODhBXFtVnykUIaS5BkRHeMtS9UzZMWkl7mOXAaf +tfDL9rrDiuWaWtQDwVOsH4x+2rBiNzszl3ZwS++3L7OOrDhCoyme7znkk1Hc +e6GnrPjcW9Z2M7B/krygkQcrNtY+RvcVfOWu+vXwAFZ8r0hQcQUstPNRrDOY +FQutL7w8+wLy6/RqAk8kK77PH1LiBh6JPVpllMCKO3U5KGvA7DM0gfFprLis ++p4G80sieldyc2fuBys+Fh4VoQc+obDCcfY3K9afTpn+DE5g/dTuU8mKM0cC +5cfBczwiuLuRFe991QiRcIN+TvK27rEOVqxrO7H0EKySxMPlOQDHKxpoFoDX +rwl69E+w4oZbX7LJXhERxTHVz2cX4X5HG3nVwHQfTSzC11hx0EazVxA4iv1M +38YeK+6tTSN2gXFwDNktGjbs9sT87kF3Irpkb9tdwcKGyWXX+u+CFzhsTCX3 +sWGPIxY30sGBF+w+fRRkw85O3ztWwXE8ar604mw4V/nvDQUPqE+6LaJPpdnw +Us3fAS/wjcy/zxfl2PBjsQyrRjDL0mFfS0U2fCHQapXDE9az1M8qQ1fYcIHg +jo8RmNadvsRIhw1fYbfjTwBbhSgt9hqx4ed+Bbmz4Hcq/J3GFmxY9Of4dRkv +2K8MWruO3GfDK2VzxCfg94V7f61d2PBaV0tEGfj7dvYM4QUbJpF8f5HOG44f +vfnbzYcN84yfWNQCf/3WqM7yjg2PnfgWHQFe+jIYERcO45haZxjswGyVKBvL +husuIAYxH+jXA+UfNKew4XO3dWsegH+Wym5ZZ7Hh+FpV3zyw68yxy9QFbPh7 +Dp86iS+sfylrOknlbHhBtYldBbxkcl9ErYENhxfeGnwLznG8+2uxjQ2rnm/6 +3gk2fF7EGt7Phu9s8rkf8IP1+OWV44oTbHj40BWDu+Av7ZNsywts+NfCjZPp +YNeH93/HrsH9+Cizr4HjbHOP65Kw48+HOVYV/Ilo40OkDT0tO7bZKO3zBl/s +3LSrYGXHusc1q5vAcp5p8m687LibtDiHKwDyNfl1p4IwO26IY0q+BZbucZEn +kWCHeoaivoBZ+pUfVJxkxxtcWuEL4ML93Q8C5Nnx8FWl0NOviYjcig7rKrNj +8sP7wl+ArZ7/HBC8xo4PNjZ/rgLP9v/WWNZnx22PrZKY3kA/Wbj5ptyEHQ+Y +j/7QA9vsXYkJt2bHHPm4Kgr83Pqd1wNHdryd59Y7AaY69EXhylN2nB0aT5QM +hH7xn22DqCc7VvFMYX0EvqBeepz2DTsWLHwvXQy+0+BlPRfCjk8639anfgvP +JxfxpDWKHcdNMbtdAxf/7TUrSGLHmWoJaWFgmr1jh5My2LF6J1//IFg//kFZ +yC923FrymFX0HREd2ed11qeMHZsrF6g+AD+rUH/9tJ4dt0cOe+WBhQJSChzb +2DHam6skCfq/33pec6+fHY8m9tOqglto07KtJ9jxXlO2VhBYfZLrhfUiOxZJ +t//cDV6oiBW9t86OQz1Y5wXfQ77LnvjhQMqBu7wjsA2YcTtR8AkdB14lUodn +gRXOTTp4sXPgC1TGhE3wr8auxGA+Dhy3Hq6tGExEM363ixJEOHA6XWFOAHg9 +yKQwT5ID33Ku4msD8ziVxjTLcmCpR3k+fB8gHqfu3pvGHJjxyvtVc3C2l9xB +KjUOrH5Mx/obOHP9wG+R6xy42nR38N+H/78P21VUMeLAboJBhgohRCRyoijn +vgUHHk1i6PYGdxkqs4facWDBsw43m8Hmky+MSx9x4EfsxcPcoURUx6cZsujG +ge84rtqagIXfxhUc9OfAL8K5N5PBUT63/+gEc+DTpUKvl8HFog86AyI5sMsp +HiG5sP/z+3dTZSIHdhZbL3AHR5rI5JGlc+D4yTKDevChW/kfLuZxYKM01y32 +cOjPZuUtvEo5MEvevlgjcDh1inh9HQdu0vyilggm0kyOs7dx4PdZAuvzYLmx +0bDb/RyY55BHyukIIkp+GXDh+wQHZp74e+sl2M26bnRvEe7nLCtPDVj67ZuX +Ohsc+Lb5uXaWj7B+75VyppFx4txk7VADMKesbhIVAyf+rqp/Mw6sKXnqlDkn +J2YKUD00C97m1iypEODEoVliyzKfiIhL+4OqqCgnLidbL30GVqdd/hMoxYlp +i3+EVoIDYnQN1+U4saeUiT1TJNQXjcxRcyVOTBe5eUUfDD2PXZsGJ+a54CkR +A6YzZ95R1ufEZfY7LNPghLcrgYUmnNjL3HJD6jP0b/pvRU7ZcOJA2+LxJ+CL +LJ2lGQ85cXUdTUc52NymwPz4c078q+ZiHUMU9DdBksyZ3px45Ov9Ml0wEhIu +O/WOEyv89iuKAg81Brz4HcGJpS6FFU2Cw9tvXlKJ58QzvqFlJ6Ihf0h9uDvS +OLFfm0/dYzDHLsmqZS4n1n1g21EGfidWNLxZzIlbYy9M0McQEYlddm9QLSee +y6Xb1AEfrGsfO/qXE/uvV7FGgQOVeHdr+jhxR4bLsUmwZoeLqPUEJz57iFfj +RCxcv3fYnGGJE2t8yXzwGPzRSetH1gYnvvNMPrwMXFhXyG1EzoW9l3+X08cR +ETOR9x0NIxeu1JUh6IB5X5kJ5HFxYZqFz4ejwMSngeU2B7lwBMOu8STY8PIH +t4PiXDhk/XrEiXjot/zv63XLcMH+PKbrMbiXhV05RJ4LP3AZ2V8e///3Fy80 +dS5zYbao/WYMCUTUYZ/qwqXFhR81XfmuC3Ztefur15ALM6g/3IkCPysX400w +58JvbN5rToGpJB5G2Ntx4S3nlCSpRKh/BnfPKLhyYceiPLKn4BMzpOvM7lxY +IajEtALsKoC6xwK4MJ9CaQXjF4hnuf39hSFc+DtXwVH9L///nieYIjyaCy9Z +fA+NAWccTdB0SeHC0h6fKGfAIxZXyvSzufDxHHdXmSSIpxM+hud/c+FubfPF +Z+CLg7q8h6q5sNtXbFMFzu/NIWP+w4XHWXmmmZP//73KF46dHi5s8WfG1gCM +yY5oLYxxYSulXytx4NMPZH+NLHBh3R8ez+fAY/RdGj3rXFjkqRrD6RTolxVp +WdrJuLHJOGP0S3AXTwPJXwZufFi16VQt+MSgoGAbFzd+uBrQwpYK+VPG4Nh1 +kBsTL162N/rfbwKJg+LceNeLhO0L+OzblJSZk9w4li4vbxEsPW7yfl0BLG5n +dvYrrLeEn+m0qty4RFaYzQMcbptFJnCdGxf6d1Y0gDs0dV6fMubGn5wCnnKl +EdHrY3Eamne5ca4GOm0CroqJuWznAOPWBGIKWGJJ5+nbpzDOl/yTAE6eqpjO +9uLGy0XGL+S/wfNErAb3vuXGSkkcqj7gUtulJ1QfuTGWaOT+A2btzIs+mQDX +T/CZ4f1ORCvq+uSW37kxl5lSqTl4NODvl4953Ji1mjzyO7jnzqmA1jJufEmo +6sk6+OBJr0zGRm4s2xJgfDEd3kdhPa96JzdOFdFVeg1eVWOreTMMn38hdLwD +HKh5J791lhsrShH5D2YQ0XRB5QrvKje2C6tjsQFr8152tCThwep0X6h/gK3I +l8/m0PHgmnFvsl2wVkKTGjUnD959cZ9UJRPqQ/ZsotEBHkx7ypDiPThdQEc9 +R4wHe97WoO8DC/ByINaTPPjxzctch7OgfjqdeflAgQcfe6ki8gDsHtDE+FeF +Bx84qnUmH6zXNjp75joPNskzvUaRDfFz0Js3zpgHO3s8sbkK7tgr/8hkxYPN +xj/5hYO1xdPuv3Dkwdy4Km0ETFeg8WH5GQ92n974K/GDiOat85itfHjwsKLs +ngt4ff/20HAQD/6U/EKyFBz1XIz2diQPlnjU8h9F9h1P5RcGANxIRolS9t7j +4l57XPd9ZIZIaSErqSQpElmljKQUibIpFKFSWZHICGWXijITUsa9SdTv+f35 +/bzvPec85z3jeXBf9wTXr4v9pc/5gtC0QfXWbrR8/EWPgw8FIantRm8WmrS+ +L3mqWhAC2Dk2T6HXfHOQPd2EVo7Zq/UU95cCPw9rlyDEXNqUFY7eoUrae+Oj +IEjG3J9qQd/Xub+qOCEI26PtDPieYTxReaz1PwVhzQjz1QPoN7Ukb+c/grBn +qX68AP1XwVHjD5sQ7NG4ZjyP7i2AAxm8QvBo1CeHWrFI2C7Qp7eKCMH3oH1s +MegJ24TP03JCUGm963gXunajjH4qWQjknx8YEKnE+DlbflsYCsFNctA2L7Sj +YrL0HzMhMOfIe16G5qjMKX+4QwhU7gxp/0FfXWV7eMxJCJS9VB6ZVWE9s/aD +oJKXEBg8vaRxDX3VXOf7Nz8hsJn9/fQDOl1ZS70kRAhogaGEXDXuR63vn09H +C4Fb2cb2E2gNjxAm4+tCQGWqcq5Cj7D8vs6TLgQprafn1tRg/bb5fPJwvhDM ++ZrF2aH96Grrnz0UAo19Sgq30aIfxX4l1AhB8VepljG0GJP3Xp9mIagJUz+u +/nyR6LMkq9l0C4FH1E7+s+jmg1dC1Qfxucflhkb02NtME/5JIYgJ+hDAU4v5 +vnvkRaYFISgjg7Ijeq3RHphdxXi/14zeQb831Q/6zCEMNfz2OT/Q/XusVHv5 +hEF986qHQR3mY/RCt3ZxYci2rFeMQmd6n+ZrURIGE/HM+bdo5w9vzZu1hGHv +atIL4RdYTzkM/GklhKHdMi/xELpF77Fmp5UwTJxoP1KG9m8M/zGwWxgCe3lM +/qCp1i7kr27CED50XMq8Hu/n+oBfv44Jg8rvCdbr6DVLY2brzwjDtYSQqY9o +XpduUdlIYbjFRuqTf4nn66BbGHFFGLRalxpOopu6yo+4pArDEWLkaQ36GsfC +53N5wlDcP/mAvQHrt3oYyy8RhtuL6+/tRKc9bwjsrBQGModdYQa6ZTIndbVR +GEKDSosm0XxFzNZqncIg/VDtsWbjItFqx5Xg8VEYnIQ7asPRoTmjh25PCIOm +/OU3rWgzrSedfXPCwE87OrL5FY7PoqBz86ow1LYdXnZF/0wd8drLIQI81Bj+ +InTn2Ws3MvhEYPJ3sw4DXfPug+NXcRE4EqDsZNyE/VdPV2kpi8C4YOmFeLSp +z/cnUdoi8HjnnrJ3aCuXdds/gAi0xksOSzdjfrDkd17DRgQuUTfw+6JJjdsc +ru4Vge4mCbtK9L2Ul03fPUSAlrE7fk3LIpEcxfFhh68I+JHLOuzQ9w5bJjwL +FoGbP9T50tB3ucu+SkWJwOetfc4TaD5+37GEayJwJzv7PqUV8+GesmjmdBHQ +C0xcCUVXXih4G1ggAhfIRTtb0CsV51/8eCQCzibTxXyvMb89fcLRp1YErgjv +WueKbg/MyZxpFQFu5dHj99G2XpZX/fpEoGM4rZeOvriarLz0RQQ2loYRxm24 +H9fUBFyYEQFDrksl8ejN32aOb1oSgWqnWqn36F0nnATusopCt7j4LZl27G/C +4JQhjyi8rSrcfALNalwX0ScsCj7FLjeq0Kthosb+8qLw+gAIru3AfBVinm3W +EIVEc9tse7RvjdZYpZEoVPbEkjLQkpxOLR7bRKEk/GfNJLplTv0Qz25RMKuK +std6s0iEf/lWXecmCpEMy6mIN///P6yuw99HFAoLDWLa0PY939JUgkQh08RJ +UeAtxnM8S+HrBVEIgqIOD/RTNqFT+QmisGO9ypkS9NJIQujRNFHwkPoou4yW +8jSyJBeIQsZCdb9ZJ+43c6f+5Uc4/qWO+OvowX4ZxdZaUVjK22gxiI5a7aKl +vRaF8z4xbEpdi4SATI7IyX5RSGtWbwlAWxl01FmNiIKX6rqEF+iN+okkxVlR +cNws7Li+G/efkepBzmVREPnhrLQPrWj+0XOWTQx0jXpX8tBXxwc03m0UAy3v +c70/0O+rDr9pEBMDlV/uZYY9i0SbeINeuZIY+O0NvhaDTg1R8S/UFoNJluaA +HjSX+5fwbGMxeBNgfUCiF/OLD1IH0rdje1LsVsfQwS1knvT9YtByYdngGfqm +me3NrEPY3hZ5Mmsf1gtj1Qv5J8Vgk12ckh164lq14qMwMXh1T0EhDR25nKBT +f0kM1DL+Kn5FOx8MFe9NFgPzfB51zX7cT3KNw1M5YkClOelHoA2ci86zlYhB +yOCwRRtaeTLwn0yVGLAy33EUeIf3V/4xZ/MmMZCRyz15EC35+c0tn24xWFv/ +Kb4UbVIxUXFzSAy8djgU/0E3fP9d1TglBkV2nJ0W7/F8KrLLYTBwvNSVX0lo +m3D14yRWcWi4rir7Bb1m8ouEF484TLRnOJAGFokrFcVVeSLicOLg9ktBA/// +veoTbVxBHJY/Ul82oh35Kx8oa4kDa4nPP94Pi0TEvXiOABCHkv2DcABNUczd +UW8jDt8dEqLvoS8XmcZs2i8Oj1QudNLR3evrHhw+JA5KtpXiWz8uEoeqDrx6 +cVIcXAiNk1fRmbuOvxULFwfbsNnmD2g9c8OO8DhxuBEzK63wCev9kc0vRm+K +w+4vGpH+6BB9y3s2eeIw9696vA4tNiwTV1kqDut84ravH1wk3N4yDirXiMPV +jMzKfehw0Y16WS3iMC/4W+kuOjLtJbtgnzgYuN7OnEMv/3XqvTEsDhXTkQK0 +oUViLlMta8usOOwwfXwjDi3NuHz09rI4HJtQ4X+HVjVt0pJhl4Dnu76nyXzG +9pPILGV8EkDjXpLzQ+u8FOsBSQk4lWpTXoNmOTxc2EeSADffaXPOL///fbnz +oq++BAQK9A3uRl8QII6sM5eAn/xcwbloGYsLDsU7JWD8a5zgD7Rk6LyVvasE +nmf7agyHF4l1dSM2y8ckYKPkKc9Y9NZrRU4FQRIgcGmAtw+9QrkTtC9KAp52 +X62XGlkkcs7K3uVOlIDKi4mBvuidfRdHmjIlYJfYuHo12qtQXONikQQcl4v5 +zj66SMxKWiebVUiAilRwqQP6tKwn97pXEjBwrfp0DjopojGttwvj+WMLs2j7 +4Gbj3CEJWBnX5DEcWyQaL7UwBUxLgPc775EY9Clm2Q/bliTAzH6xshd96Eja +1+sskhA61JksNY711c+Sn0yckqDPwhzoiz7n9ofjFI8kyBpHOVajqdxkyvgW +SVCWdDHhmMD5iF456igqCaYq8eTd6E533vIuaUl4O8EjnYveGCrCa60kCRED +3wR+oNPJb8Kb1CWBFCu8ifoVv5/YAJOpjiT4R+TyXkIPjszcbKBKgoNpJF8/ +Wi+9ytjMRBLqD1QJy0zi+O4tMLdukwTmPdbyfmiztG3vbXdg++XaOs/RNAvf +V/17JGGW+awV1zesh8f4XrsdkATNJsGDe9FtozMTMwclYTR+07k7aOmxItEQ +b0k4MHg4Zw69/gerz7qTkmBkLNRMm1ok/ugW9mWckYQuE4W5y+gcKxtHjXBJ +PF8TJQbQvst5yy0XJeGBpdNO+elFYtL64DP3y5Jg4xZ5yR8dmE67vnJdEjQI +jlcv0JklU7G3UiXh1InvazbM4P3rLJqllyUJm85pbHNCMxXE9g7cxfn89e56 +IfqD9LhSWLEkhLgPDdHRZflfs6QfS8JxG3OyyXe8j3XMdV9XSoKvKW/0NfQ5 +jmc//V9IgnUf9csg2u/1z3aJZkmovdROU5ldJLht77d3dOD45+tygtDZZbd/ +hvVKgmeKAGcT2jwsWJ/8URK+cfYG8P3Aesv0b8HYsCRU9tHH3NAtssPUtElJ +aI4O21+CVj7xYWnXD0mwKj3W/QftnZT7aQNDEqYGXtht+4n1yqX5ybYVnN/k +sK6b6B1hF8Qvs0pB1KncvWPoNeUbwm24pCD8r/oIZQ7j+budg3ejFFxpkj8Z +gSbt+fO8T0AKNrvErOlAJ2/qysoQl4IOu53pwvO4vhsulRyWk4JYSqzeEfR7 +oS9TmiQp6IpXGniCrjmUsJtFUwoMFnXCWRewvQ27fnTrS8H532UK9ujCnomK +uyAFa1RS+zLR/8rXPj5rIQV7Rb/HzKADZ3yH7G2lwNCpjGawuEjso3wyVNkt +BQfPjvyOQZ89u659rTOOf/3Fyj6020RlwpiHFJTnJYfJ0HG/tdyJaTwqBZyd +AuYn0aZzl8rz/aRAQXodXx39//WgIHD5jBQsqvmNrWdgPSJHLTsZLgX0yxZV +jujHa6PPOUZJgV3j9RuFaJvDjbFm8difv50/A71W/2mrRhLGo3B+j+mvReKH +voip9G0pcDqlQEtE7/V5vMSXIwU937cqf0F33KVNshdKQalKr7DaEvbvFcb3 +t0QKrlV/5AlFJ58hhzCeSAFD15HzNdpgSFByrkYKssk72AV/Yz7OscQy2yAF +okQtpxc66XSC7PfXUsDEuMNbjl5clxM12yUFW6fWiLIs4/77Pis//14K/pYN +qexAu/cYci59lgKNIQ3IREvVWakyfZWCJW6W/TNo9YChJK5ZbL/XJtDgD+Yv +Z6uMBOhSQKnnS41FX3uZqyK/IgVP/PfW9qPNzJ1cdFmlQSFC8JvsCrbnVNhv +xSUNtqF7Bf3RGYG2yW4bpeEU0xabenRPwaa0IEFpaMm2v8izukgk7q2aTJSQ +hku/uesPoHtnuSJK5aVhf44VSzFa8fRrlzeq0iCtxmG5jPYUrYv9oSUNH4ws +Ei3/LhJ12qWrm6jSUHWQY/gm2vKse62eiTTwGdhojaNptIw2NytpeLaHL17z +3yIRxKQsf9leGiYdXSbPo6Mt3755tk8aGgdUt3Wil+x3N024SmO9GFkizkQn +SMcucgselobkp86Cx9F6AnJ3rX2lIdHieXQ1+utppqvnT0sDpebOb05mOnH+ +zeeWylCM/xHfyX3olBvxexYvSAOpnut7Pjq0r1OXclka1l2MO05HC/YEHvdL +xHhSk+ZNWOiEu8y2pYe3pGEqVT40Ec24tWmAni0Nw9KmXMNoT+tMXmqhNIy9 +mUlXZ6UTJR3Psi6WSkOZgZRWOFpyRjnm7VNp+MEy8rYd/bunoVm0VhoCGtT9 +RNbQiR2Lth4+r6ThufC6Ld7o5aXUvbXt0lCTF1BbgebiPFG4qVcasv/4+LCz +0Yncp5m7j36UBrP6RfE96OgkuuvLEWnwvLG+/w7aPcO4RWxKGjy4n1xfQItv +t08ImZOGhDez9lvX0ok9pxaefFySBtWAKv7raNVBBpXGJAM7cgS/fEZv7laW +y2OXgb5pzhI1djqxau16gotHBriWr54LQ1sJeooG8MtAjHfh3nZ0YDCn6hcx +Gdg9sEdThINO5MtL5trKycD2ydt83uhpoeDQOpIMPNA5vVSBDr07XqOhJQMH +Dk0Ms3PSiWfHdD0LDWXAe/OPt3vQN2zBX9JEBj6NJby8i86/3D1120oGLp5u +rVxEP33zok1gpwwEH0l/YsJFJ079G+RP2S8D4q6cTxPR9rtX2wXdZYDxm7d6 +GJ2fND+bfkQGTn543EheRycy06+HyfjJwLr8+e4I9I2okuDiMzJAWe4Yf4Mu +Xy8+phuBz8+ar4qtpxMaBk+ev4qWgV2vnYWOo2Ult7HvuSoDj69sNKhBB9BK +6yeTZUDh4CHXddx0wvHF8+9hGTLQ+GPfJUf0uc9W8VvuysDCwMyze2hvTtXM +0mIZ8KyXml5CczgZytqUy4Ci1ZK05QY6YbBlu8R0tQzkipx0TUE739O/Ft8g +A3r98dkT6NfbB86Q22QgX9xmQpuHTsgor3nX3y0DlZml5Cj00/rEkogPMuC+ +8CyiFz2p5PJPeUQGDJoP9cjw0gmeEuL1+28ycLymUsUf/XuVl/fSnAw4hJTH +vkS/Fi3uMvwtA8kFe6Y2bqQTd/ZN88wxyUL2t+wd7uhP+vfaCjlkIWYsqboM +7TP4gu0gryw00cgqTJtwPvK56yQEZaEuOzDLDu1tf2xpSEIWpksPC2b975Un +j7IVZIG8Zc3NWfQrRuusp7osUM7YCNL4cP/+vfBARVcWREONs66gxUXqfyzS +ZKG9fVR5EL37hcvTF+aycHGDVjVpM5149NiAJcFWFkxnNHaEokPlNXtd98gC +x7rhb23oH6/lVTVdZKFagIgV2YL7c8ciN6cXjqdqu8ox9EzP2TPDx2Uh7TZ3 +TxU6r+eWd81pWTBxj4jg4qcTn/dRJm+FyQLX0zyyI3rmptRccJQs5FiETNxD +Z/NZRztfkYW3lWtzfqNtWRMKjZNlYWO1uds2ATrRffjNPqUMWSAYhrK30I4b +p1P47mJ8PF9nJtEOW5q9mB7geKssq/QE6QRTvGnTj3JZCL/lHh+LpvmaPxuu +kYWdThoH36MDv5ca9DfKwmRxNU1RiE4IWHjad7TLQr3+X/EgNMtei5WmXlnw +vbfM2oI+q2FEbfgkC5sfPPwuIEwn4vYpb3o5Jgt/v8l8Ooz2XFoIb5iRhbZN +O98+QwsrRFxoXpSFlz3UZnYROqFz4aHkmxVZuNc/1rAX/eyv3953a+SgvM3q +VQH64sc8xdH1cuDsfKLtF3qJk5I8t1kOqHq7+i1E6YTX2X8ZLGJyEM/zazwF +PR/JMOGXkwO+y07LX9FL3H9jSKpyIOp8nk9PDNer4V9vM205ECAfpcSio+M+ +f3czkoP8J3wO79GBjLiNEWZycOv2+RBFcTqxWPetP2u7HMRce1wQhJ46M05r +2C0HmSb337eI/79fj1h9OyAHbz29NghJ0Im6/c7LG73kQDx30vIo+nJqsZ2R +rxx8fEiJrUQfGzexPhaI8elubeeUpBMeEhtm08Kx/VnhLY7orLW/9N5Gy8GV +CzUe99E7s6ZIbAly4Fao8GQZPR/f99ooRQ4ucxxYby1FJ2zE7vIFZ8nBd8cD +R9LQRQfNOZ4VyIGqvVLrNFpWt+Der1I5aL5Zr0aVphOPO58sGVTIgee4/K14 +dHycG+PcCzng+rafYxCtZXIzr7VFDuh7nEJVZfB80DBn3tIlB/ZDKnRMsAgH +fjfegwNyoKLVfuoN2legt+vxsBzMcxnRxWXpxMuTiebsU3LQJBgRegId2nL5 +xIF5OcjhSuJ4gbY48XD702U5OJMSfItXjk5sml8c3sgqD9mnNNXd0SclLFX9 +1snD7h31rQ/RhU4Z5C4+efg9LHOURR7PC8evM1qi8sD9xYl7F1rdQuhgmqw8 +MJaPPs1Dv7kof2ONqjxIfbf1XESvbWc576ctD/qe6wTMFPA8vp6r/NlIHtiE +s98ko59eWr6+w1weLBu4L0+g43z/PWu0lYcLArttdBXpRGVefobhXnmYaAzc +FItWUJ4weeIqD9dj/Qffo22NyosoR+TBe4vNAyUlOsHuzd5f5icPn+WYI8+i +dVL7GzSC5eHjsSSnNnT8XqHAZ+flITKH1UBUmU500pq/0+LkQSl8p9hx9Kr2 +e5XWRHk49uQcWy36NdmMsicN+1u9Or9BBefbiP3feB7Gyx8+5or+sEvgZlCx +PLx6ZPuxDK2sc+IX9xN5yIhlfsdMohOa+zll85/Lwzn7lHc70aLKX0SNm+RB +so13MA/t5j87MvRGHt7l+35dRNu/VT8T8U4ehHIfMsxUcT10ZH2Q/oLxBX7g +SkEXZhtsaJ2UB7uBbzKT6BNfVjadmpMH6qUvxvpqGK//6DexZXn4YFjnGYc+ +VTSd1M6iADtLouM/or3c+DaFr1OADSm6lSR1OhFRtO+QxmYFqH/SPRWG3ven +8uo3UQWIqd0n9RbtcUsnIU9OAST8XjtLkvF7znQcdlNTgGMxihkn0bVpEUKS +ugogWOs/8hJt0GV9d4RQgMI3xaTNFMw/JDTXF1oqwPeA3pBD6MX3OnZ+9grw +7dj026fo9B37Thg6KoB64LwihwaduCl76zjnQQUItpiK3o9We/LH6sMxBbif +3fPtPrpmNZKjJEABrKil9itosXZKwcUwBaB8Dqvdrkknkl3WKbpEK4C3PpCz +0DV/+eINEvD3vL/yf6Ltlu16hVIVgEkqT3qrFp6/Oo3MK9kKoKxklpeE7q89 +vWX4ngL0TA4qjqPVl47ytj5SAFth38c62nSiSb5g4XG1AtiFMrbGoq1rNF/k +NCrAYteZdwPoWCf+M4kdGF/fvJ+KDn4P9z1C0f0KEG1xhCcMXZP4pyD0swIE +fH3/6A2axrlBNnBSAQxOmzlJ6tKJtydvXj01pwAqZSUcp9Au+RmTJ5cVgM1p +S3UDunmWpBnAqghMlLOntujheQW2J4LXK8J++qDaYfTO/nWZ57cowrYjxj8r +0B7g9yJeXBFSre4+5dKnE0dKo9/dVlAESyeuSGf07UnHsSKyIgi7ntxZgvYu +Wfpap68IOoIfFZgM6MSEnc9o/1ZF6DexZNmJPlv88t1Pa0Uoya8czkNvp3M0 +ce9WhFYmchMdHa+8vVTVRRFoW4pLLQzx/NqZcWPHYUUwLVLLvIWOrGQ/E+in +CKvhFden0T9vp+3NClYEym6rOCMq5qepR3TbIhXBbmEsJgGdTwsXWL6sCBNi +l+KG0fsGZ5ZUkhUh87puoqYR5s+HX31yy1QEfqG5zCj00lvBxtQCRVh7+mnZ +O/SNT0ulPWWK8PRIbLMSjU5Ut5zJ2VilCHPVh0dD0LTugls7GxThi8buNW/Q +wJ1+62Y7zu9Ve2VJgk5Izx3OHexThK+pB3afQtNEJJ4ofFaEKL6zUY3o3um+ +7oBJRUhvLKjiB8wHDuasNM4pgvSpr4tH0Odu3tQU/KMIwRP6WtVor+nXQb5r +lMBrOCuI25hOXC9w6GjmVoIsFeGXrugP1lYasgJK8DD+Hu8jdPjLl4UXJJVg +odXWc81WOsFt10eZUMLn97me70HPbb79xlpTCcbnB4XvocuLlc6VU5Wg/GRr +2B+0h2e6haS5EqRNd4xvN8H5S1onn2CnBJIyMzuz0TtErosy71cCt6+yr+bR +9TwWpEAPJehYCaKamdKJlkmLPbPHlOCA2reKFLRyT0na0dNK8J4INJhCc51P +Wf0argQ/maTqqWaYbxSIhR2NVQK6zpRNAnr9/QMis9eVQP9+9+Aw+k9BwMDp +NCVwkv3or2VOJ0Y2nqtguqsE7afW8MSgJUszKq+WKIH4AbvSAXR63PSgRIUS +cJTWOJAscH5dY+XL65VASHX7v3B05lDSDes2bK+AubQLHX9eVWmiVwlo0x8O +ylri+lI5PX5hSAlSng+InUFH919+LTupBJbTfz+1or9HJg60zCmBmql1jug2 +XP8x9/n8/iiBzNU67xNofiojWJhNGXhTnPVfotW6U7hbNiiDv5oM9xYrOkF1 +ePQ2SFAZfglsnjiMFgk8Wk+SVoZlJXJjFZqxZnh0VEUZelSCCrit8T6zMNLL +1FaGke8zCW7odeS8OidCGeZ1E8Ieo+9s0AsR3aYMm4dc/dba4PgypHy+7FSG +6nzXI/vR2/WjkwqclcHmUMKhYjQ8i58/6aUM1NEfh/+h1wc5xxF+yuC+eP7E +zu2YDwuKOfOeVYbsg+ahd9HPGIwjYxeUQZiZdnUJTXXc9Kj6ijJUpB+9a22L +66ciVe9mijIErbbWZ6J3DD1e9c9RBu9/rqNz6J21V1h2FynDpcMkLjM73K+K +9pb6T5Th4XqyTiragEOpU7JOGdKrjh2eRucvQNq6VmWw3/olg7YD73vjV/d/ +dytD96mrA9fRNSEj/6Y+KYOE9BnhcbRP1qu0zxPKUCOc5qZnTycGDqZHvPup +DMEaf4ouoyeKbhR3LysDRS91ZQhd8++TTNcaFXi1cmqnxk46Yf78zkT3BhVY +tzP+QRTaWVOE8U5QBZh4xrkH0BeN/XZ9kVaBhyth/qRdeJ897v03TVKBsoW9 +QxHo9JzglWUdFbjU6G/bgy6/fM2K2xjbM+tukHfA9Ueznpa2VoEA0wDaWfTM +7k+fDXerwECyY20H+hwjUGmfqwpMcUebSO2mEybFtq1njqpA97lfHQHoHQdT +Xtz2V4E/9aUHWtD696J468Pw/bzSeZE9dOL+Y9uqqRgVSFj5FX8C7UVWrBNI +VAHnnEukBnTTTwtJy3QV2HTkUBf/XryfqGNDIfkqECsZH+KNHrmvtfKoTAVU +s/8q16IV8/2Cv1epwIXG55837sPzFzr3qrxSgfX7Xt86hOa1jE/1eYvvG8rt +r0Rr2g9SHw6oQDD1rRj3fhzvgVWz36MqUE5u/eqGfpkn/8R0VgWa6HzPytEC +nUmXk5ZU4KdT2WUOR9z/m869HmchQRRkHXJGl/fJ+xtyk4AaMGxahlaMboy+ +IUAC9c4zSmuc6ITKZPLaOSkSHFM9yLcPbbHp/cIOEgnyPO6wFKNhqsWuXIcE +wubUX//QWeX5IiLGJEh7rDK3y5lO+B0t2xdlTYKjEf4/C/73VjmOhd34PHYz +/Q96fsxUxdONBDeyeP7ZHcD1LrKj4b03CVRzD224g2YpienacRp9TEBm6X8v +k/a2R5DAslPOyMYF1+/s+d3WcRjPg+vO2eh/3K0dHTdI8GLA6fwi2uK5Wf2u +LBJIaEQVWbrSCSNtQ8rgPRLkJm34mI5ut/gu7l1OgpTOJZ45tJtjzuXlWhKc +bTa1MnOjE4La6UFXW0lQ4rRw6Ra6lpD5KtdLgrb9bG+/o1NMwt6/GCIBR0GI +0FZ3OrFc/3O76zcSDIvtPXoTnfip0ZJ5kQSMm6m1U+jw58av8/+SIHUWhAgP +3J8VpT12nKpQxGYfnIR+U7bXa4VPFWYftQ59RatqXbhQLK4K/O+LtlEP4vra +HkpyU1IFGdulymto32tXPAS0VCGYUao+jvaaYVbopqmC+f2e+/qeWF8oyoVc +26YKUZaeKlfRpF0mbjsdVOF4qcfDEfQOv3vvBFxVQbPqLVX3EJ3gWLwz8uWo +KsxsL+64jKZsvRD5IEAVzpn+PvgFrUhPrAiLUIWu4Gf/tLzwvJWVibaPU4Xk +7q/Zl9BLVhdmFJNVQVj5ssUQWnQv63fWbFVY9chd0DiM9UP/QuzIfVWw3Kt2 +Nwa9opNf3/hEFaSn1Z0/oUNdfFLvv1CF36sFgpQj+P6u1A032lTh36mUD1Fo +tY+hcuf7VcFF5l/OB3RZwfGhk8OqcJP+2Vf9KJ3YdaLWwGtGFX60GBhfRM+t +azR0+aUKQyG8QgNol0s9I/tZ1IDjlztD1RvzdZOtlP3capDJRx6IRDvXeCk6 +C6rBm6ch9e/Ql16ltHrIqIFWg1kp6Rje//Ek/uNqahAjnJB7Hv2XEsYToq8G +N9L3pfWjzXaPPI03VQNrSt4tFR+8r76Wc+faqcHwsxMZ59Cv42y3VDuqQe3m +uvw+9Jq7nG/fHVKDI0qJT5SPY77Mb0xd8lODjMFvrRHotBk7F9FQNejf2Dza +i841StQxjVEDaqEyq7Ivtp/v2XQiUQ1SYrcoRvxve1merAw1aLsRu7MXXSCg +vqm7UA3ull+MVDqB+RZ9pJOjXA3Y27kqwtHXszJtTOrU4GSNyEIPmn+sPvr8 +azXY5lOhqeSH99N88bmGPjXweDUcHI6u2vTCkHNYDQKKUl/1oIVPO1funMF4 +mYf4lU7SCUJubDnrlxr8LX10PBztcaySeY5FHbozBV73oOl2xFuzDerw7yE3 +SekUrnfKgGemkDoU9CQnhaNVSNMNy7LqcGesjKkXXbPzw3dHsjo87HL1V/LH +eN6vG6s1VIfW83nT4Wjr5vECeQt1YPoYerQX/fXMG4PEnerg1jIzoxSA41dR +zWR2UQc10uLpCPSHxqM9AUfV4TwjaU0fevHgzMfpAHW4wNWRqnyaTuz9J1bp +dU4djuzK1jiHvsN1xGf8sjrYVmzo7kOPZWv9OpyiDooyQmdUAjF/GZh1nM1V +B8vQF1Ln0ceGmW8FlahD02O27n40NX7g0doqdYi//y2GdAbnN3DkXuordfhp +f9wkEp3JHReh1oXzc+X6mvdog1007ZZP6iC7a2+bahCdcPjn035oUh2yo+pS +LqCVJKPM2RfV4TR329EBdHkR407xP3U4N3DWWD2YTjCtv7V4n40MZf1vxaPQ +m3/siju/jgzZ86+ZP6JDHnludtxIho6Nx6fIZ3E9BV1M0hIgw4D8s/fRaLU7 +PhwbxcjgKny//RM6cbTf/4c0GZ4MmjdphGD9Jx3W/1aRDBH7r76KRU8UC1Ee +qZHBN+z86yH0WanDF29qkeGUllSfVih+n9OSXaEGZNh4wnc8Dh34iknwEJDB +Wcj7zxf0zfqG/XbmZKiW2CKgG4b1sLJciqENGfQD/fSuoPU0hjuVdpIhnCXM +dRQtGlTOLryPDHU1hvH64XRCPMaJut6FDNZXH9QmoOeuJZ1g8iSDvWcPY/z/ +5yThXMZRMlhqlGhRI/C+EXjQO3uCDOyTtKBEtI01F8e302QYCoiun0QHbf1J +HQ8hg0JTFC9xDs/7J2IBo+fJENJldCgZXR1kXzIaQwaNyNK6aXS+lPXM+BUy +kFo+Smw9j/Pt9lptKokMH9IaolLRj6QTAn/eIoPK18Nzs+iRD/sbl7LI0Jnd +6mEWiet/dUqQNZ8M1yu+DaSht4axnuYpJkOlaOueefTmcs8BsUfY/ssjA5YX +sJ7x7DRXqyCD5O1W9yw0ewRHLdSSgZw+84OO9pB+S+xuJEPVk+4LNhfpxN1/ +E+3HXpPh44dQsTz0jByf18VOnF+mmZrf6Il6/vVZ/WSIE5Hy2BFFJw5bPamr +/oTjFxHjLkDPtjw6/2GEDHqML89X0ddO9uz8M0kGjpzjAQ7RdCK1/6Om+A8y +KHE3kovQNazX5Uzo+L00xueZY3C/slUoev8hw8G13VX70OYJ/LQkZgpMnbkc +W4qWTTjlVctOgbdRm5zXxuJ+kEjMneamQJPoEe0D6DkO6oLwZgp46l7ZXI4e +oenutxGmQHR75G+uS7g+eq36IiQpEN+9bcwd/eYo7cgTeQq8MBjtrUBbLgxs ++k6iAD/LjjaeOPwed8b75DUpMCN0vdkLfdZI+ZGHPgVoYQWtz9GvS/0KswkK +ZMrc6Np8Gc87ycjKL2YUuLxm3+dj6HxDxQlpGwpIbl6cf4k25FZVP7yTAqfs +jq4Xjsf+ex2TH+yjgFxxhcpJNK9hqBDDhQJ1MqM7WtBWBs41cIgCliXfQiSu +0IkprabwK8cosN6sozgQvTQe5f7pJAW2jVwd7UArah4+pBpEgZYIdUm5q3Qi +L1vn8rlwCtjxlXmEoo9NvOjpu0iBwsyNRT3oP4vdhOplCmzZvPu3cgKeH9YG +ndHXKbDvVMj2SPRUWWPUSArG/zCqYAB9YTu4QyYF9DsD2CnX6ETDmZCD2Xco +8LNp2/FY9FlRsyssRRRwTGAb+IweOe7z2eshBQSV71npXsfzbOaFY8czClRe +1X55FX3ebROTTi0FWJ8XERNoHSlKZ3YjBdSL1jcYJWK9WvW9jbuNAr0u+22S +0V7sQouhXRR4/Trx4ww6KOLittl3FHiyUOlnmkQnTB8zd7gPUYC39+269P+d +6BHxbowCbUf7ihfQpFPB7nbTFDAta9tlfQPvU2uhgNY5CrAXPGbKQ+dv2lJh +toTrx/7q42X0ATlQa/xLAe+7zj47k7H/k77vTNk0YLlAQuU+ej1LQHnzOg2w +2f3+B/NNPL+D5ZpsNmnA2uKYqv3owBt7uXsFNYBRonb5Ido/5XPcAQkN8Nzz +xp0zBfsnkohvchrw7d5hmjvaI86SdIakAXp3/0hWorXq++zZNTUgfvtlzo2p +dEI+euPDW/oa8CVdYOkIeoS3x0oNNCA7NWfmBVq2ck7ilbkGrDFW/ip4C9sj +zCgu2zUgKPnRVz902erdiN+7NKAlxXC25db/f6+eWZfiqAFstk3Lkrfx/kuf +69dx14Dxp7u4g9FPb14dfn9YA050j8l1oRNJGaQwXw3oLThrqpSG9cPxXxUy +pzVAUYf/6Hk0750zMe0hGlBysSJpAO2cv5R6JlIDRBI8Ginp2F727lnZSxow +5L7lzyU0fbN3bG+CBmxY6tIdQeeLbToSfVMDzh+4ddYgA92hdNUgQwMyknwa +EtGbPlz58zNPA+hpNpum0d06Ig/v3dcAUoTBYZNMzFeOl5Z6PtSAfkPdl2no +x0cUl6QqNCDwi4nMIpqDz/PycK0GcPu4x9lkYf7Ia+yd90oDHoxe+3UHrXoy +M/lwuwa8tuvxXkU/O+W0Qa1HA/49VRrbnY3f/9PePsaABnwWTT5YguZ97z9d +/0UD4uL5v63NoROxJQn2CV81YBNXaYAr+qd1PIfrrAZo3XZdW4H+w2m9kULX +gI2WSpm8uXh/Hn3gw7aC8QhxU4+i7+Qmi3xi0QSXLeu/1KMv/x0Xf8KpCVXb +FOKE8/B76p4/c41XE86Uuxr4o5VLrOR9BTThl9fTn21o3yE5kq24JkwcIj2Q +vYP1zyvGJbKcJpRWvzwRhrbsyIEtJE3w8Tur14/mLlpnv6KhCezXHNjV72J+ +ek2oZlxfEwjJnZ9i0KYcDyO7QBMEyQHPvqCN/z27W2ehCXsbq1P18+mExpfN +8mW2mhAyo3QuEX3nUMmavN2awFFWd3wavfnxsa2pzprQIxrublrw/9/DtL4k +HNQENUMvpwz0C9mfQ5e8NaFdMNiJgb6SGkNEn9SE9Lpn7naFmJ86jrJEBWlC +nZGMbyGa6caMUnSEJuin15xjvofn2Vj8k0vRmqA7ffGWI/qLeEl+whVNKNAO +q3iM9nli8DflhiZIxuQPrr9PJzYcEnuem6YJ8T+ZOb3Qy1bGY6W5mqAUcs2g +Dr3KkhhQdw/71911SrCITjCu/PHtKtOEjxTrspPo7H3evePPNKHibPDia3Qq +b9vdlVpNWBH/TJMtphNkpnVjW5o0YQMpLCEMHVgvcI3SoQnbyx0m+tFxxz/f +t+vF8TR4mZAf4Pdw2KHt91ETYo+X519CK2zfT04a0YRTVTTeUfTezm/pFd80 +wfLl2nPUEjrRv3su5MtPTXh3nZuRjKb+c33DtaQJ2boOp36graPkk3X/aYJ4 +88dFy1I8X6q0u7zWasH9XXfDctE+78IvpHJrgc23h+tX0IKPF4rbN2tBUhpL +7u4yOiETHW3LKqoFtSGpRqVowS9KR6kyWiCQEfCZ4yHmW22dq2eUtcCWJzXG +A33kqy/3U4oW5H1l1alBLyz9SmXoaYGuQeXUlkd0QkDHLUcftOD3lsq7J9Dn +XNMVIiy04E/CmsOt/zszh9RsqwWJVelqMo/pxLvoQw837tGCb/cjV0LRPuSh +py4HcHz+zzr70Ty/mGklnlrgQ6IWkcvpxKfCZgsmHy2IHdsYH4fueyrf5+Cv +BY/L9f3H0NkV/F+LzmpB6sNyN9oTOnG1OyGcLVILCr9fcEhFVz+KS3e/pAUL +5wpt59FXHJi2vrimBWznZexsnv5/306dkErVAiorY3c+2kV+q0JUlhZ4SUgd +ZHpGJ+5fYjk6na8F85N3Ax3R4ZvldRxKtEAkJOpaOfrTQEFC3RMtMP/6omxD +BeYLbRcCVZ/j+C32vzuCfvP9yXRGI87PM7s1DeirkQY/eduxfau7umKVmH8W +boiK7sH2+Z1OnkG7NqgX/f2gBY36px52oWn30g4Gj2jBjubpXypVmA9V7Shl +fNOCm59aTKPRawq3JwTOaUH1Na7UL+jw49fX/F7SAsm/D+cMqrEe6xDhDWfS +hi69F/bJ6NqVmUdsHNpw7aBOxQ901g622QQebdiUtEXOqgbXw6tDL0UFtKFk +xCX1DrpjnIdSLK4NGT58m/6hjxxhM6TJa4OTnVbi/ud04uQVy+FuVW1oz3wp +WI6W9fok662tDaKhdXc31OL9Ntewdo2RNrisIekfRQe3s8Rmm2rDExvOngb0 +Re+Me4SNNlQE7vMXr6MTT0xSfYZ3aQNrjrBwMPqB/lJXlBP+fnRHcw9arePl +B9JBbeh3Wjmr9oJOvJf9G9PvjeOTF9e+hL6QWfYh8pQ21Ho9o4+ifRlfeihn +tYGk2VpDq8f7sfEm5u/aYPHAIe4Werpq4HnKJW34Tnd0WURP/n5YZntdGwLk +B/XsXtIJv0BFW45b2nDV9ZPQfXSTt3lKY7Y2FDXsZ2ZrwHzHfMuVC4Xa4Hdi +zw9XNNksi2xWpg1VET2jVeivkj8iOSu0IV2oe2hLI36fcp6ozjpt+OC464sf ++lTJer3bzdqg475vsg0tSJlP93qrDTa7Rhjyr/A8C28v136nDQzb+XWRaOW0 +wnPsnzEe/0sKg+gV/hvMnya0QWW8cJteE+a/zel6j2ex/Vf2p5LQoaxd8lcY +2uClE5Uzi5Z6SHQc/asNK/tM321rphMV6kukbWt1QNT+Gt9ddLoGl4XKBh0I +Mvbew9SC+SdPtCgvvw6kWvVkOaENykJLfonpwJ6k9h9P0Sdt/q0Oy+nAR9pe +802teD+HSax/q6oDZX4BecfRTy//GKjV1oH1VnLsrWiqXeSRh0Y6kLngfVL2 +NZ6/A1MV+WY6sHLNfCQC7c2gtmdu1wEns8r9H9FPH8Xn3dqtA1sNGt/ptGF9 +WjRLpBzQgR1Xjzgnoq+KBOWmHNIBxeMFX7+jW+pp7beP68CnpfPB29rx+9zZ +V5t9WgdoLr833kXft/0UfC8M+6va8JCpA+tBpuF/5VE6oG7UsMcZbaIfbt9w +RQcq2AVZK9DCKu0nepN14IPJhqd8b+hE49FRp8kMHTgsVHDiBLqJfZD/310d +KCkdVW9D1xZ35wiW6MCS2iuG/Fvcv55Dq1pPdYCz3qYx8u3/8QqTHGpxPPEh +qUPoDdx5qoFN2N/znf4GnTj/kYmsaW90wCeox+EmWiearfRlvw6ET/2lzqPX +VwtSvg/pQJJRv4ptF52wU/sWJ/wV5zvdUeo++pPXjedWP3Tgt/oVsbXdWC9k +6r0O+6UD1tInJD3QxkGLDx//04H0bGblWvTK/MTpGXZdsOg1MxDuwft6TF1A +kVcXqF+p9oFo7+gfN70EdWGCa9K3G21EM2cUSOrCjJdlklovnXA7u1tnRlEX +muRca+PQCyzEPk2KLmiFqP6cQJNeyx4I09eFlKvliiZ9WG9WKZm/NtaFI/H0 +w1nozeonNwtb6UJ5/tyDP2jBF+KtPjt1IYfj/vLefrzvP+459NJRF1qGJGzL +0SSCNiV8UBeeOzkU8r7DfE97eV/gMV2YLbDkPI7Oay171OuP4/+16teKZtkW +u6QdqgsNZ05/lntPJ6JvFajcvqgLn/aWOUSie1V1tjNf0YXp5tLOIbSIkLPL +sWRd2PErYJfhAJ4nbcZu7zN0gSLEPJiC9iHxOljm68LA/t3HF9GSv34aVJfo +wo3pU2vsP2A9Sd7AT3mG88HslPsAXXwqceJenS7Mt26w4PqI8ztT+ECuRRd4 +gxPmvdB37MJ87nTqggtt6E4DemrZUFZ+QBee2K4ckPyE+WjGxv77w7ogMDgl +FoY23KlyQWNKF/PJorEBNIvoM9LzeV1w06E90hnE+jpwtMfqjy7YHLsbnYQ+ +qfY5+COrHkxMDrv/RIvnDUicWK8HdaOLJtuHcH3zsjazbdGDnVc+k+6juzfE ++2WJ6UG8VJ4o+2fcb7F3xajyepD7Bvg80XcNz7/9qKYHrO2VvPXopw72MeG6 +epBqy7NF/AueNzctzWVBD0Yvb5UMQQd53ObusNQDmSoHjffoxWtnh4Ls9WCG +18JaexjzAy+xKgVHPVB/JXwsER37/lnOgIcemK/vuv4DffNZxM2rx/QgX/xY +nc0I1iO/7t8yD9CDYr2phXvoxpkTxcxheuAXZ6fOPor1yzJbZ12UHizapJ/0 +RCvx3mU7f1UPyqq7qurRs3uibM1S9OAjzxyXxBjOT83novXZenA4/I97KPrB +7e/i7wr1IMhsvm4AbTwxWXjnoR5kpfTL6o7TCTiw3vp0lR54l9+7dgPtwJS0 +dluDHjzs8WGdRyfervgk0a4H/OpSYXYTdGLIofLN7149qGVtWS1Gz4h3D/YP +4nzFeERxfcX73BPWPZvQg6qVOb4j6Ojfxvtu/9CD3pQz916h+eu2NJ1b0gOO +1EUzmUk6sefF8m5vZn2ooXp/O4ceOUzm3MulD79rBpKG0C+Efn0x59OHIAdT +M+o3zF9nEob0RfVBzaRo9Ra6bw+VlSynD1PNPM9/oXvNaDuU1PRhQtz/wu4p +zEdM3zfJ6eqDcFT/jsfos8e2H5EDfdikZyi3cRr3f/SwtuI2fbgdkMt0Au2p +M0BW26kPviHco+3odr9gR10nfViTENauPIP3exF7uYmnPphPL9TEorvbWmm7 +jutDZNfJ8gn0oaK1K4cC8f2QpUem3zFfvsf2PSRCH4ByqSIX3VK2gS85Vh/y +SXKvmGYxPifvEw+v64PV0473Lujn0e6sXbf1gZPz4kINeoCZ1rmQpw+5h7dt +EflBJ1Q0rN4JPdCHwc0StGD0ne5OIZOn+lC9a63vO3RjiNitE3X6QPZguqv9 +E+8vzdA9WS36YHFpw2gSmumO/q7uLn1YZdVQnEcftsi7xvFRHypFfQJ2zOH5 +176Wd+uYPrjx1TaXoP3ePeoO/47PlZWkuefpRHksY6CWoQ/n75dcOIYeypFS +YGEygNgeu5lW9Iagi9WWnAZwa5bbWXEB52PwRGriJgPwpk51R6O1o7TrPosY +wADrxI5xtF2cAoUsZwCFl1n6TRYxvoXUHxfUDIBLwNgjF31v/eCfD7oGELOQ +S2ei04mAPIu92sYGwOqidM0VfSdGlTXJygC0c/sotehNrGNMi7uwf7Z7H0QZ +eJ7I1tvvO2AA17ruxIWgXziI/KrzMgAJu9fGH9CPsrbNK/sZwNxLYSb9X5h/ +vcozvRVsAPcCU16loGlqkT+4LhiAw0PjRAb6EQ9tMSLeADKfC3vtXqITt/Uo +DkvJBvBpQsa4HF2R8IQ3IMsAks64yPD9xues8ioLhQbwu6xt/Sm0kPPQndOP +DEB+wme1E61VbBDxp9oAjA6Y0NWX8f3plOqLrwxA9OCOxavov8d2OW18awB3 +TJKXv6Mz9dpcc94bQLo5H8f2P/i+jctrrRED0K9qEy1Gn1s9lt42bQBNM3V6 +61YwX5NweHeIbgB7FeacvNFWuWdCWf8ZwMwTt+hWdMUb3St3OAzBbJqnQnEV +zxc/Bte2TYZgvYFpLgadasf/66eIIVw8oUH5ihbPWd6ZLmcI5gcKg8z/0olt +29glrdUNQVr2YPNdtPdUtuuqniG08XmKsf3D+6KXxPd4qyFohhSf9UTnT/JS +fWwMQbHI6HMDmnTp8UfFPYbgNydoLcPEIKroIQuTroZwI52ojUR7qHdfLD5q +CL/+PtIbQUdfE7/u728I+UcDqoyZGUSqy2shWpghxClFmeSgiVxCcn2MIexI +nuhhYmEQhTmTdwevYfsrt465oXPOkIsf3TaE2QfZXC/QNyQuaF2+YwiCq3/K +JFgZxBvYDodLDOGu0QOXCLT2zz+d5hWGcKXhCd9nNNfiylell4YQMMTfSVvD +ILay10XzthvC/tGupEz0LY+HJct9hvBHYdLlL/rpUxP3yc+GcPyvI8WFjUE4 +5ExkDXwzBM5KlXW16KA963zeLBjCzlKnGbG1DOL1nExz06ohRGjM9Iahr4jm +PXrJTgWWrKHGQfTMvz/qLzdSwchUq8aInUEw382FVyJUqAyZrcpAU+vWTbTJ +UUHy1ob6VbRxdrFUvzoVdBnJbw5wMAgL6p/FUX0qMMajRp+ja3183ekmVKiq +//xPjJNB+JSHHeGypQLX8B2ZcHQxd846mX1UsM3otx1CJx6xtyE8qOBqFXie +xsUgyMYcJFcfKjhYRFVnopX7ieLIQCp0j69Z/Yv+yuX/5t45KtRGM8xc1zGI +2ANiN3rjqLAnxOlmHZq8v/ovSzIVrGW0ZyXWM4iJ8VYe7SwqiL27uP0cWmu2 +qcX7HhUKf1qXf0EXdpNV7jymQu+by9LG3AyiNy1ab/g5FcKazVJz0L7qlvNS +LVTQ0A/ZwrIB49Nl7PfqxvGGqd72QK99t/FkyScqmC8ekG9Aa4mJ6S9PUMFj +gbtKhodBzDOnPd42R4XMz7TdF9HmrzeMpP/B/jfN/xpDQ8zKqwU2IzCfUsw1 +48V4NL+52fKiX47tykcnBjuWFwsbQdGKPDf7RgYRGd9fv0HOCAj6z47DaLfz +Y3EB6kYguc70Zgs6gFi/cUjfCMoypLyUNjEIa7f+3damRnBmw2WjOHTpszbH +GlsjGKs5LzqN9vMNlKLsN4JeZnZWGz78fbl70b2DRhBpKTpXjH7iL7gs52sE +0z9eTnBvxvW0VoEnP8gILO1XRn3RQXuFZ5QuGIHxQOvkW3T+RETiwytGcGqI +RCdvYRCnjk2wGqUaweE2ec5E9ETLJ+P2XCMQZKqUXUBz8C9sd31gBFqDYxYO +/Azi72ClEuOZEXS0FZ16gqanvOy/9tIIhhV47vIL4H7ZlbVHvcMIXF14P59B +m38Zud/1DttrLZMcQNcISPWdGTGChr65owaCDMKKOtsv9R3HP9pblYZOjv78 +8O0vI2h2cuJbRfPWxR0+z0IDm5xofxchBmFbHf1bh5sG7UL7Ptah43u8j/4U +oIGRepeVlDA+3/q24oE0DTaZLNRHol/+s/nmq0oDmZd1MIbmux+2oqlHA8UN +es1mIjhe5pWFla00iEk8sLsAXSF0sKt1Ow2ICso0hyjGS7e9eXsfDc6NPon1 +Rl/zdTY9cZAGTeemVdvR4opKgxa+NFBg9HxQFWMQ4zG7PGSDaaDz0C8hAe0W +ebZvzUUabBdssJ5DX9Oh6X27SoPG5HaeXeIMolOTiO+6RYPMlKsfy9GJy+I9 +z+/QoC6Sq5RfAs+73xEbSkpp8LTFOC4I7cnPBrlVNKjp0j7+Aa3Ds/Po7Vc0 +sOKa3EuVZBCCievib3bSwP3TfqtMdKrOu3s3P9Kg41m8KZMUgxhmdmq8PUGD +I5yR5h7oyAWjwdw5GmgZGu5oRAcxKzJKVmjAVlvpLi+N58nret46dgKi/v09 +G4v2yCxX69lEQJ3v+vQptET9fftpMQIMgkYbbWQYhKy6XQi7EgG2V6PoJWj+ +vO0PFLQI6BFdVN0oyyCc+3Z+syYIqEwm+/qjqyTWUwKsCOg6Qn3ah77xWiE6 +ezcBaWxCa/XkGMSDHoepTjcCmoaaD9xGf+IxcWXzIeCZh9XzFXSoS96E0RkC +LNlyZV3lGUSGmULk2UgC4vU7k+rRE73nNKuvEKB4sp9LVgHX8/GDK/9SCfgt +/PRSNFqe+cKQ5R0COB/58X5Dpwve+Jhcir/PYc+yVmQQk0k29IkqAn65hWqX +oLkaPFSpTQTsOdTZw6uE8Y5diUruIuCvBNtZf/QIOfrf/CcC/DlEFfvR1OA1 +GQ6TBHgm8Q/pKeN4il+6Vi1gPFqMtDS03M6QbbL/CGA9XOP+F31kdlF1GxvA +2dve6u4qDOLQ/kM2LOsA3luzsDWihw59P/ecF4Bz9uKIPIlBuKzxaT/LD1D1 +e6H5EprR+ELdQBSgdnTHkxk0Nbqt6I8UgBsp476dKoPYZONjXKcAIGv2oeAR ++uDShbmLqgCn73I+2KLGIJTSF2psNPH3b0hVQeizRel3+DGd7SSbYd2E+8PW +/d4IDcDbxmGGps4gMntk2stMAa6kOW3MRbdzNHOftwJYTXamsZEZxJSO2old +OwAYFfv8j6C9thjNKewBuBhuX9aG1nn57sZfJ4BcT0u6GoVBkPpHHN+5A6yM +0bYmoldsTUwfHQboi9BJoaN1bgzZJxwH0CghL+7TYBDNZ29f9PUHsPmptr8G +3e90YNAuGCCpTqNJQpNBMP3lPqAZAXAny8jwAlrnWtIaoSh8n8u+YgId/aav +l+kyQGukr5GVFoMwLKh5M3UNwD0m5fUDtGsReaH/JkBLUofrRm0GsW1U2ORV +OsA51U2rAejZGM+6J7kAz7u8ct+jQ6//OlJYCKD2t92OqoPr43QtZJQAjBmY +s2WjhevzLG6UAzxk733Jqou/L0gMv1IFcH/4TOxh9ORA4ETsC4APdpp72tC/ +/KjnopsAQrrYSep6ON9s/1Fc3/FUf28AwI1IaJCkJAqJUElE+DzX3q6994qs +rIpCkpWQsqLMFNmzrK8kO6GolMyEUiruvUn6Pb8/3697P+fzOec853meM6gb +3Q/AsUTZcgv9I3m/XuwwAKMQwzIFPXltV2TCWwDOP2IfreRwvZ/mf035CHBo +1f91K5rhRe2NrFmAM2nvhw/KY/60lncrWgT4z8PtXTTapvTg+ZplAP1FrvlF +9OFk26ftFIC2ovkN/dOYD1Xfq71eB8jeP8NXg/4YkMA0z0AC6Ukmtd0KeJ72 +O9FvsJDAy9MoMBTd90tPnns7CcI0ex9NoCVYlauO7SKBLr3vFxVFCqE0d8xd +j5cEGfuVTzxE0wK22nodIAGXiNpVdiUKwS7Sd+uGCAmOF1x874f+RrFlr5Ig +wcV9U6dH0N3GjV2jJ0hQwne5UI6gELt2jXRuyJFA5LjBrntow8ACVlEggcak +RSIDYD9hwnvbVJ0ERjVZ293R5YInXKJ0SXBXfk9mH/p+6FRonREJztC/EjtG +wvN+nu/DvAUJ2JN6O26j8799vLbfHn/3o3f/jfY7uj/EzJUEmjIXOeyUKYR8 +46snyWdJkOh9oqMdvdREU3txjgRj946Hi6hQiOHP0fzsF3B+dkHKCWhpjQsa +emEk2ClDt+0H2i28qzU5igTD9a+mTFUpBFeqb/RoPAk2+/1oaUS/ZvDK2X+T +BFPfrPL51TAfsz1h9UgnAc8zjqQo9JFTxj11d0kgGLU7agG96Cz7YVMhCdqa +vK/oq2P92eusalZCgrr1XTE1aHvT1wwllSTY8ZYjlUeDQhTmxPHQNZDAYsLp +0WX0T7HIaIsWEnwrYu2dRpsptujVPCPBoU7WHxqaGG/V8r47eknwu8NFoAw9 +J/fni+8gCfyU9lpwalEIza5/HUOjJKh8Lp5xHj1ZqvXn5DgJIr7fnfyAvkf/ +Pil7hgQJOr7HlbVxf23qrzItkuDP+fz4B2idyx/f+C2TwIRJ7iu7Du7XktmN +jxQSXImRNvNHbwwK3tf/S4KTmWndb9ACXloCTxmVYX3IQUVRF/dnvP/fSVZl +uPv0dmc+OjuvRrVshzKosEkbsehhP5XLuHxotzKIn4Y5bzTcfMZQwKcMF382 +Rr5CD7isXT4gpAxVXfdF5PRxPncqnPLFlKHPmGHkHppN6UuV8HFluHp0OH6T +AYXYN17n9UhWGd6scmt5omuxoJxQUoY1Ynj7INqHl0+0VVUZTpYyTZwkU4gv +AS/EdXSUQeFVdX0WetleOnfMUBn4jd+n0RtSiCszNlFeFspwpzsi3B0tU2o0 +RmevDD59hX4v0BZsBwvSXZUh4a+m5wkj3J9bbyaOeSmD2B8fr0y0XE7EzX5/ +ZWiy4zn/D+3GcOSJ50Vl0HmhHu9qjOtH/8mcLUIZPCf/3O9DG7m3+JRHK8OZ +03K9x01wPW492zC+oQxGF+io6eiikM1b1m8pwylFY/ENNMfFzMSiO8oQeOiE +p4sp9id34pON85RhYTSvshddqvV1O+NDZUhezv13zIxCpKUMbq0rV4ZDnFLm +6WgxBu3rHnXKoD9l1vAXLV18Nk6gWRlK1ncIuJjjeFpaW8bacT+3ON3sRZtw +UdnSepTBtUyH7bgFhbjeGJdiMqgM5vEvb6Sj5wK57+16g9+v+p1nA+0gXHP0 +3bgypIWXlrpY4nzFgjVzZpVhbIZFqw9dLx284P4F58fF/O24FYV487t354mf +ytBSfT8rA50fn9BN91sZ/ju3YPgPLXXiFcvQP2V4uzS8w82aQqjKPh4pYFYB +2qDz2370uozpsYtbVYDt+d2HJ2zwe4I79hhyqQCXb+SVO+hD5QK3jvCqQMSl +nc70thTCUf7aXZaDKrCaZKR3Bs36d6v8/GEVSLQiwUu0kNobj96jKhATNnVa +xo5C5BhsSFTIqMBCsTTcRe+/kxuTpqgCY/EKepvs8TxzfTgfoaoCzF1rTmfR +TjUv/3npqMDPLeeuDKN9+u4I2BipwPPNeQ/lHLDfm7N5r2epAgfdE97moqUC +ZI4rO6iAz7A0B4sjrm+ypqCcO46/lmXki35YWlst5aMCJ5OeZY+iW39lT0oG +qcCwXNl3RSe8T4oIlUtcUgGvCiud+2hpH+99R6+qQHTWiwp2Z+zHM7LFT8Sr +gGv5Zr5ANDfP6ITcTRXYkc566z36yrKSrEoGfg/LWw4VF+xfCtZPGOSogHfV +ucwSNOu1k29si1Tgsco7UU5XjH/pHQd9y1TgW/COZxfRH77V7LpaqwI7V3hc +p9DbnmrWZDapAGfQynYtNwohyU79U92uArYlhc8q0dxvPi8P9KiAlsaRCB53 +CtHJpHZraVAFPm/EqUWgbWdPzW57qwKBN9p3zqMjWb/NSk2oQHze6KLBGQpR +PZWUZjmnAve/d/U2oNcrtdcil1RgUiKjht8D8x2PDkfFigpc2qN1PwatBa0f +xv+oANnpQ853NB3HsO12RlVw7zAuMPfE+b2rTVVhVQX51cqK/9DSpanXQjhU +ofrRaofIWRxfoVCylkcVDhYIziShc9t3pCzzq8K7WwqsNHTULvaqoyKqkCGr +LO/ghetT0JVwTlIVNDVlArrRecVBh+pPqsJc+N66Y96Y7x9rhv9VUAWenOV/ +Geg76wEZGqqqkGjRaEzvg/1l9JGA2zqq0ON9sdIDHdJbsGPWSBW87hzlHkbT +b+L0l7FShcA7H6PkfXE9xx5lXHdUBYajsev56Or7D67NnFEF/+2Sl9n8MD4C +FeSV/FRh7d8QcyDaZSavIeu8Kpg3BWV+QNN0d/z7E6YKPzfxnlQ7h/2PXhuH +fbQqPMt69q4MvSnky3LHDVXolTsXw+2P55m9/65EqipceyisFI5mTcvek5mt +Cv8VTP/9jBbPzXDdXKgKhkvFneQAvL8LrUdeeKQKv3QuZzxBs99nDPharQpt +l+wCDgZSCNOYrzLOjaqQpWpgfh0dkr/y8sNTVWg5Y6i6gq7NsSIse1QhqdhN +3jaIQpDLbaPfDqqC43CyXCf6iJ9ikdVbVTDNGyIdDcb9S5XPnZhQBbVxMeMM +dIhAWpD7Z1V4Q77nTX+eQri33RT5+U0VlhslbnqiU7n8GsIp+PvnsZZXaD+O +wEM7NlThQc6DXwoXsB5rTwUVMKlBd1GqVBHaB9aL5LaqQfLzopDtF7Gezm5p +GuZSg9fdH/ouoBVGDGp89qmBRqDcoWm0eBrXza1CarArrTVOJwTvGxv3TCuO +qMHD396UWnRxugyDyQk1+O6i5bU/FON9XDDjj7wauN43+hKDftVcwVOkrAb9 +cdcDfqDJDwWvGWurwY2x1U3WlyiEP3PvR0YjNYhyvpXTgRYYXDrUYKkG66uu +KpKXsX9pGLPzdlSDkza+y+loM/rxmEMearDhUVVEH4br60QqmPZTg97PEm5n +0b2lptV5F9RAsXBOcgR9SeFMvXOEGqQFjtMR4Ri/27orD8eqwV8hrg8P0TLN +HfnLSWqgFp/QxhmB9TSt/EZTuho0+2qWX0Iz14z6x+WogU2p1v059P7yRGOr +B2pwZ1vKffIVCvGIU/S4ZIUaXPAUrGhEP1ylsTM1qAEl9d9ToUic32vD+Y+t +anDE6fDHRPRbg9iOpk41iL2Xw/gb/SL/R37WgBroibpLOV+lEDduz0SFjapB +/GCE5wv0emrtWZePapDh++2RbBS+b6DJQm8Ov+91FSUPHRxqqCf3Def/oV+b +/RqFmPj3QvswRQ28HUkPg9EC2fFGezfUoOs4x/Yp9MWEKdftzOrwQVwpXCca +z5ujRPTmbergIdZLq0PbJffUMnCrQzBdQ6hADIUIU+f8RbdfHaoTmFmuo4cM +XJQZDqnD/aLGu6voBk2+QmZJdUgQG1FwiMX6GZK1Z5uMOrT+Mv/Ui559rljI +o6QOkR9V00/GUYjE985qh9TVgbnjrlEumkHZZ0NGXx32RLnsZovH+OJuHdQ2 +U4cD63c+BaEbRepaHO3U4dIWlZZJtNjm+s5QN3VYjLO7p3Md9/eL4FKGjzr0 +23yPrUe3/3SSehKsDrN21EsHEiiELPPb9A9h6qAbdCEkAb2dPL+fMUYdksMD +r1DR8mpr3eJJ6mBivnTT6QaFeDkWmG6Zrg5fv8w+eoGWcv7velyOOtA4bF+e +SsTvSVV+0PxAHYQqzdcL0Adb3L/8rFAHq7JRqe1J2M8FZliKP1YHrqX3/iHo +Blvi15k2/L+uR/Mn9O293U8edqvDo/qI7YbJFGIl/l75l0F1oOMQ8mpGB109 ++ur4O3VwPW06LHIT68nE/OHQKXUoEeBWvoVemjpV1bWgDpbFZ5o20L3xid67 +f6qD02N9Jc8U/P5WS3vPNXWgyvT2jqD/arDFtjFoQDf7uAPpFoX47c21sIdN +AypE4ujK0DOnP18N3qkBSR6DxTy3KQTvAMVylFcDzj2ttYlCS7bVe8kJaYDU +3lN7ltFz9lktOeIasNPWZsI6Fe/DvXv0t5zUALVAwYoudK/SQ/5gRQ1Q1kmK +PZGG5z2o5cScmgZkjuadzUE/aR28bqmvAYZ/bCzY0rG/1LcSHTTTgMsl7frn +0ZGur7Zq22vA/hev9WfQ0fN18l3uGhBkk2phkIHjK1yq0vDTADaC2asJffVj +XkDfBQ2QPCMaJ5KJ9+VtBZFGVzTAuouu8hZ6Z8v6xIc4DYglJ07+Qxcni9/w +TNGA7z9e7fW6g/mFver6nzsacP7eK7u3/3falvGkAg2I0UgqVc3C8+tdHylS +qgFOMyybqtD8tqfC2ms1gOaq7MqXjfHDxDHk0KIBt9sUB+PQcmvtlxg6NWB1 +fl2Vgt7rPxT5YEADro5ceeZ0F/NHWduswRsNeHdhQOcluitzV+GfCZzf4Oz4 +6XsYv3Om7SXzOH5/58WH6G9MLCTbHxqQcTaYf1cO3l/1aw7sXNMASvbqwBV0 +MsOkaz+DJiQ7qsd+Qwtz794ex6YJ1WWeOta5eB5PTe/X4tIEsQgXnm50Nlt/ +GjufJkj2n/wunYf1bdX+withTVi/PfkyD31mv9jzu5KaEPPCrXFbPoX42tEQ +dlZWEwou9JaHoq060ooUQBMoyVvL5tHyzaZKHFqaILhLqs60AM+HQJTGgqEm +BP6T62pHZ1+rftZhpQkNBiIzRwuxfvL51xY4a8INlnWWu2ixRhPeaC9NyBZu +PMV6H/NZyNLvs0E4n/vO/ufRNjsGDU3DNMEyea1uFp3bmCykHIPjT0QwGhVR +iI9KzwOkkjWh7TbN6j80+wwj6VCmJuQ1OTeLP8D8Fjpzgy9fE8r1O0TuoL3o +1q15HmmCofG+u5sfYv9iN1fKXasJxv3e+4LQgpoKkTwtmjDX3nh/Gj0gmTHO +16kJ06eY5MjFFOK8X2rboZeasEXGYLQFXaY/KH7irSZ8bb1z+UgJ3g9nPgmq +TGnCkfEFyUx0FkvgA7NFTdibprTI/AjzUfaeJ96/NKH5x52KQHSrRrBV7Lom +SK3RhU+j/+aJ3Shi0oLJen8LcineF8lvjbq3aYGv9M/TrehExwNlS7u14E34 +FVHxMgqhN//wLvcBLfiUdfDAHfQx9Z2HVMS04HPmm4Ms5ViPSEyaASe0QC02 +XzIYbZcnxPRAQQv+876mOotWMOax/6imBS02kS5GFRhf7THmewy0IMM5K7EN +bevNu2xuoQVnEobbJSvxPtJ0SeyOoxYwfBGlv4vey2zGMumpBVrXC7TYqnD8 +RKProoFaEHCVlH0RTTu8vy74shYUTTL9/oxmmHON6YrG91f/tDerxvvK0BvG +fclasLyddagDnX/loHhgphaIsunrnqjB/b29Sj+Yj+PXtA3loUNm6GOOlmrB +KX4Xxx21+D0TtOaUOi0ocJP/E4amLCXc/92qBfJ31HKW0Gp255RdurVg9FWM +nk0d9rfnrFKHh7TgsDAjcx/aP/Vvjup7LfhZ/KRbrh77//IdLo2zWsAbWpb6 +EB2Srj1z4psWVJZMeu1uoBARsc78VVQtmDc21Y9GDxhw7ZWi1waG21vlV9EP +mrhH6lm1ISmc7ZjLYwpR+VjYiOBCyxgee4VOfr2e0senDXtfTcorP8H6UWeR +aS2iDUq+zQZVaN1Fitv3Y9qwKDrnI9CI8fkj9W+0vDZ08zlkJKG3K63aHVTV +hiJP8f4NtLrdSMJTPW14LK7H6tNEIQZrqbEu5ujYDqNxdIbFflM2Rxw/8/Z9 +3Wasx93sv+o8teFa2H8MzeggwRgXl0BteG2n4XmkhUJwFhg94g7ThhFjyQ93 +0JvPnezpj9GGW7HBFqytFIKvgPJf9E1t0Nx9cOIiOizY7qZqFvrICb8FdHbl +SYL5vjZYzD5is/wPz2Oyel9fuTYwuyZWdaNrt9rIpj7G97374HiqjUKAuPI1 +p3Zt+OaQue8hWuDd8/oT/doQKto5tfsphTg3XfuCZVQbogxdq2LQ8m4f+6Ym +tIFj88XrVLS2EmdN6wKulx+jn3s79rt2B67l/NKGjMfM9m/QEo/GVaL+akMH +yzULjWcUQufXnh9em3VgOj7CpgFdcaQk0ZJDB+w9/niKdGA/L+e8X5tXBxSG +qVfT0ar0vPlKwjrw9vv5B5ufU4gDpg95ZY/qQMCPyyPn0bXCMwkn5HTgKx37 +tnm0tVsh9YSKDjgaChladOL6rD+3PaWnA0zbeu51o8sXDz4Fcx145rFOOdVF +IdL/pQnqOeqA2a02y2L0beV/0bZndWBr4+6uPd0UwihXbulckA5c4NxExKPT +hIUt4sN1wLk35ukampOS11MUh+/fc1//bA/m71M3Vbpu6UDqcbu592itvtdd +X+7qgJN2XaxuL4VonjGw4HqoA9JJpSdb0F4rcxSo1oGdJPUliT7Mt/1h9881 +60BjclTFPXTr4F/Xok4dCKryuLS9n0KkXNORnxjUAdspqnEEepqdLLTvvQ60 +mB2X+YHm614Rtv2kAxEaPIJOL7BfNxAi5X/XgZzv5XtfocOP9J7/8lsH5uKo ++1QHKARH93DfqU26wGu4IlqH9n56hIjfpgs3Lz8gHXqJ98WlZ68meHRBWX+n +Szo66/j163KCumBBJ3+TZRDvwzL+Z9IldEHsNV/PRfRauafXb1ldAPqnbF/Q +F1+5Z9or68K3bmFLmyHcr1zbHz26upDirV/1Am0nRAo+Za4LpCOKXMQwheDq +YhF75KgLtmorVyr/785H2w566YLav6C1A69w/V0OHrobrAvHMjou30Lvl3Xz +33dFFwKNp9mYXuN9YeTcas51XUgOHioMRkduIlWJpOmCn+ptzXl0qOHgg5pc +XRhkkqBajlCI0iy+9yqPdGGZereyDz37UUTvbZ0u9HosBCqOYjzYfP/n16YL +Anc4VCvQShZBq1v7dOHlB579B95QiGt1TUcrRnRhyJee8RY6g6Oz0mRSF77c +ffFz01vML9syQzYWdSGxJnwpGP1GXD6pdFUX6tf2/JpHTxtXLtvR6cHPpnuM +1u9wPeIZ83ax6YGT5g7+F2iLCoX8wV16wLDop0aMYTx+caUkCeiB/FJ7cBU6 +JTE+x/iIHjzOZakRfI/7J9yQwyuDNlJdS0ULSfymfQY9sDC9oMvyAfOZlX3Z +Yx09+PerqDgETar53XrDTA9arw5zLKFLpd4ddXfE7zH5G2U/jt9H286g5qUH +expFGYfRpWZVsiLn9eDpJqsE1Y+Y/9uGhrdG6kFyXLJAA9rkZ/QILUEPtme9 +/E90AvvFb59J8+l68PnmHs9stG8k+94P+Xog2+HHv30S4+XdVofXZXqgFPVm +4go6SZmZe+ixHgxKkB+toMdlOJSGn+lB7s7xK+5TeJ4v6Iy9GdADakqE8xj6 +8fLw16l3erCJQZGsN00hnJ92nl+exfe1cmm2oe0W1C8zLusB/UFWnRMzON56 +4L+9f/SAP4rfsgit2hhAJ8usDzIa5v57ZilE/ZBbpDmHPix21KQloG3sAmIu +7dMHR2vZzn9o3sb/OIpE9EHKc5Yu4BOOLxog+FpKH4YMW9Tn0PsM61uZlfRB +x7sj3XIO84FAzSdFLX34c2D9Vz96wv/2nYsm+rD2ws0aPlMIg43oiSf2+sA9 +zDxQg3Y//bh+w1Mfpu981BGZx34/x+ygZrA+iF9Zfn0HnWCeIpR2RR8Evil5 +bFugEJNXsv+bT9CHJbV+lkj0dM6DVSJDH8KX7tSsosWiP3dnFehDiF6Zh8ci +1rel5NPr5frAMcB0ZBwt8fudgWOjPhDDRVTyF7y/qKxt7nuuD6pdKS870Nej +xNzkhvRheVd/9amvFKItsdCr9IM+yImZ5pWiE90L+ITm9SHi7LEsgSUKkdri +HJr7Sx9W1Bxyb6MPGwrGHvinDxlinytZvmE8fBJQf8BqAGJXu/ovoW3GsxuO +cxsASwvjyjL6Xe7bj20HDCBE+94h1+94P1vibjWRMACf1EyXd2iqULb50ikD +eM5JK9NbxvUNKSuLVzWAnSebGdrRrb4328XJBpDlMe8k8wO9PznjlbUB/CcU +PlCCZln6eTzc3QCc30eq8f/E9RHfdPNoAL6PkdJ1C22Su/3xbJgBrLC9N2X5 +RSE8o5yK78UbgKKv9PdLaDpbHXfbNAOgy9t0+we6cWTPikC+AbzYp6/qtkIh +zFf2Gy2UGUCjyU6692jbY2VX658YQH6nWZfBKv5fiud67HMDqJjfe6cDfY+1 +ztN+yADaZJ0uyFFwvlvHhE6PGwCrxFGncrTfwYkm3gUDoKhFmQtSKcTofj4p ++lUDeE3vYpGB1uejdgTRkWHqzaDLVhren6TeOHkzk+G51otLkWhhlfEAd3Yy +PHtjnUtFcySd+u3MSYZbf8Neev3G/LjCs+LEQ4Y9ynKs02il1XJXl/1kOC5w +g2y+RiFK5o4YnBEiw9v9l/P70e25T6t8xMig3MZGp/wH4+N+fuL5Y2QgR5/2 +aEBvmDF8jpQhA9fKto/i6xRirJ2rOVmBDB63Y+3y0U/PbNuep0wGmy8li7v/ +Yr/XKjRVo0mGb6EXIm+gs5tunOjRJ4Ps6C9hxg0KceRAxOYpEzIsnecfuYB+ +633C7o8VGVZX/yZ9QwfnTpzicSTDg6GbZi7/8P25LRmy7mQYzRw/PIbe95c5 +3NKbDLnvZpjJdFRCc2b16+UAMjjwP1h+juZRez5TeJEMv1ZE507TUwntwUqX +gXAyxHz1+VyFVhpe8Vu7RobKlAsrIgxUotViYItoAhnWzmttvYeWOh56zCqF +DEfFZ49zMVKJfV/k5m5k4H4o6zjFo4NLtMQ77pFBzODKPbpNVGK/8iLj30Iy +bJuKnQtGv3ay8Tn1iAwb113kl9Dbvaa8gqvIIP+Z+44zE5UQudFE19CA6xWd +zzSG5o+TOLLWQoZ8JtbLZGYq0T4YskR0kKFsxYCuCz359LNmbC8ZEr8HJylu +phLqnk+UXg2SgS7pilgt+uDFk4MCb8jA4es/JMZCJZo08zf8xsmgdUg3Kg8t +L6zR92yGDBMGHCo8W3C9Vs7K7lkkw7vrHVuT0JNnLVXPLeP8zp2ZZWKlEgG8 +lr/6KGRwLvrXeQndy1ynJvqXDPWdCXW/0G28jxXiGA2B24ez0pONSozylL/7 +ssUQXpJu1U+hxe1m+Ax3GILWFEePBTuVyOK4z/qE2xBYvyd/fol+LELKE+Qz +hEX2nZwaW6nEig7zTLKgIfBM3dFsRYf8UhmiEzOEhK1Hrp/chutlpe0dcMwQ +4HTnu1K0nK/n43kZQwjc5isttJ1K2Mys1jgoGkL80cNZWegOOcLxvYohCKuu +bN25g0r09GU+tdA2hLO0kYR4dEm+5ehbsiHIUF7uZuCgEtWXXuVamxuC3vxs ++UX0sdc2B6dsDWHs/G6jH+hGMV0bDxdD+GTgSe/BifvzH81gxdMQEoUmmyfR +1VqNG1fOGYJ0XmiUxU4q0ZK44MF5wRAE/AiLQXTQ/smU+2GGkKMpeUqTi0qs +ctFCTl8zhI5RbaE2dFpeguDr67geven7Tu2iEn51v2/4phiC7vjuA5Xoh5+y +mrZmGkJb64vjh7mphH72YFl5jiHUCjbr56JdJSmuRkWGsK3t03me3RiPaWc/ +0UoNwUJfrywZPZCcLJFfYwj5YavfWHioBPvP54R+oyF0sk0pXEGfkvLm+9tm +CCNVnOm/0YNx813lXbieIjf+nttDJbayZIHzAD5/2NhvEV2eNB+7d8QQHvi4 +f3faSyW2zZ/Mf/3eEDIa+kPeo/dlzN+4OW0IKU+vcZrw4n4suOkZLhjCnFZq +fT/6PBvP9M5lQ/DctuGmtg/X97ez3jsKrsdgu2AruvJ6TXLeX1wPg7mvMnxU +otbTr8xrkxEYkM+2V6C/bWe6L89mBEEpJoWH91OJjIEPF9g4jeDn+8KUPPTj +VmexCR4j6Phud2MvP5V4NM7cVMdvBLSUa7dvoTO5pcWTDhlBcALvQ3YB3A9G +q/CzEkZAKhLsvoZWEZiv05Y2gtiC3JUN9NYe/SHx00agaJgqceEAlbAg/Rvm +UDaCkaBNAT/QySlnm39rGkH71HKH50EqIZPJnDRrYAQPrGwFZ9GOh1V1h82M +oLdKN9FWEM/H24zVdlsj8Kt+yvQGbSYdklDvYgS54v/FkYXw+QQ7zrKzRlC+ +rLG3F/3td3Nskb8RsL6wa1ARphJOpVt/5F80ArubzI4taJYHPbr5EUZwdpfy +btlDVGI+3/NuYYwR2IpyjVWivfTPzhYnGsGRvPBiMREqccFAQ7A61QheGsZc +K0Sz7Ay1bsnG+XNJ+uw/TCXur19N7Cswgg9Nwc4ZaL/Tky0fSoxA55CLK6co +lQjr3fZlucoI/hP+HZCA5upO2s3yxAgq004lMYtRib4ds6oH23B8U+GGCPRH +vxuBRJcROCq0f1lDv72+7aH9AO6fGKdE0BGc7+fFycgRI7D6vTv0O1qN+4FA +8QcjCI0fHfEQx/wV3H1meMYITFrJirPoMdmRxo1FI9ALjKuyk6ASG2kmPJI/ +jYA34arUO/T+poFIh9/4PV9IbcaSGF/5/X9S6YxhU1CX1QD6kMTbqIHNxhCy +dTeD1lEq0U26xM+63Rhq00/UP0Nvy1N9ocltDFMb/OeVjlEJ2npLUjyfMewX +nlB9gvb8GXTmpZAxyNMC+KWPU4ls9j8Wu8VxfJsp5gr011cfnJxOGIMZiP0R +lcL8GvEoplLeGL4mGK4Xopnv0brplY2BfMSKVeAElYi4YHbYTMsYJDg1hLPQ +e/ZaPCgjGwOTCK8etzSVKOq+qcFiYQz3rN9duYmerMlgdbM3BiIv6hn7STyP +oww/O92M4cYiP2csOlbC/Z+YjzFkC5d7M8qgO22lU4KMYUZTajQM7XQxPGX9 +kjHoalborKGjFdx4PaOMoYT78ECQLJXoXCgdHLtuDKSKHNsfaDqN7zX6t4wh +cNOeNa9TGC+7ezuf3zEGPs70gnl00673rJBvDBYv9lm5yFGJ+q1Pr7QUG8M+ +6TK+STR7Pq+EUpUx2ILON2t5HD/6+rb2x8bQv/S77w16zqpaRKvNGAxPN9cb +n8Z47ZMKedVlDGlCqeUv0RaXKzc7vsTvL42p0VHA35kGh36MGoPNUNrzLnQy +nezYtY/GcDf1+ayKIpUgb004yDdnDOJr3Bxt6LTy4NKGJWPgYUrUVlDC/Hk5 +56LpqjFE10ncfIzOh8rrlHVjcOP+PStN4P+9jWfvbDKBNslfalXo5Ezpa8rs +JvCTjr9WAqgEqy+d39JOdGb40RL0cIRLURavCUTT8Tw+RKISqgXbxfQETUAD +vugVoM8HVK3THzGBUY/1ZX5lzI/X1/gbpUxA+ap+XjY6MCs7NUjeBPjuzdrt +UaES1n7a9tLK+P6Op6Jp6P7XDWEULRPQ3rpAv1MV+4+7matNhiaw+6rt5yS0 +5f37z6MsTSBS6eAYuxrW97KUZbKjCRTpyo/FocmPeS4IeJiAz7OHn5nVMR7m +lm1/+ZkA2xM/hig03cGRgp4LJlCnkSpGr0ElPCwidAoiTCAgfI9DGLrzXblZ +RKwJBIbSFfxBsxfxdTkkm4Cfhd6vC5pUQnTL9XuqGSawLMJoSEH3h9V/PJJr +AnY7hJsDtLCfkHWI435oAjai9dI/0AMNWrmbKk2APflJo4821u/ok8KUBhO4 +5Cal/xUtffTzni//mcC3HsHvHjp4XrQFI2a60B+S735GF9yosJx4aQKfWi5Z +uupSidJ/Rg8/vjGBtymLB2fQvFdGvKcmcL5Xx3876FEJ+9V/jz5/NoHsSouP +H9H8gdkuP76bQA3JftBGH+uBXHDmBhW/z3bl5Rg6It5SdzudKdyS5B23MKAS +L9/uDBdkMQXBD6PUUbRTXsCJ0ztMISVVTMCUjP2Aj+ZZMx5T+HZlj9krdDmd +8+EgAVM4PVSUaWhIJQ6IpXqlHzaFjoqRxZfoeFqVXMsxU4jXL9bSN6ISJM8b +N+dOmcLVCaH6fvSxovWgnSRTME/WOaZjTCWOfxuZV9EyBe00gcc9aLOB5S/n +DU0hXeCBnqYJrv8P4SsVlqZQfnZ6uRO9/Fu/ZNHRFDIfjuSpmVIJ9yZ1D1FP +U1jaEeXQgQ4SX/jvrL8pOLxbFlcxoxIacTsrq0JMoUWRf3M7elag8PSfSFMY +vMD5HcyphGRoiIvmdVMw6nwx+x9aZtN58cxbphDgajKvZEElQi+Hpi5lmcL+ +hOLfLWibBc88tUJT4L8yyKNoifnAXtQor9QU/MP71ZrRrER2MV2dKZS+yI04 +bUUlhgaKi51bTMG0lNzTiN5bIWfS+9wUDG0m+OWtsb+ql34kPWAKRcLkqCfo +wU9RlfmjppCqW0Q5ZYP9kdsuN64J/N69n4Ifo9e8hl/EfTYFGN3OdMoWz/et +4gWGZVMw6xTNa0Cbdcc1hdNwPDkZHVk7KnG4w0mNjt4M+i+fYmxA294Rjova +YgZX35zokbHH8cY7Ytk5zUAh68jderQM5YR6xl4zeMsjGC7jgPMpcn8mImgG +tVl8vvVous1mDE1HzMAtZL+3jCPWu9OUTUbSZqDDLHqxHi1zH158VTCD1ylw +S8YJ89+ypO11NTPQDTzTVI9e2dRcL6FvBo8ZCn/IOGN+WZ95/8rMDM7dppxs +QDdrFg5ctjcD/qvOsbIueN+w+JN85IwZqIp9m29Af+BaEBr3M4PnHzPNT7lS +iekqn4SUi/h/Js/Xj9Gv/RJ7dCLNsP91tJdzw3o2p/OR5boZvOe8RnuCjp5+ +1N9zywzCHo/myLvjfGJr0xKzzSBGy8q0CR1B8lYyv28G+SI79yicwfgs/fhc +sNwMtj/e9KUZrfyS8+hKvRl02Uj1KXpgvhnhutT9nxmkX8l50ooO/rNcnttt +BtPRBvWEJ/b7GnU9l4bMoOa12tM29PVxvwGbMTPI/nBtjHSWSqzPnPgPZsyA +Y9NOhmdol3/b7x3+agYf6pdlVb2oxF01Hm+uVTN45HTw0nN086KD5KYNM/h0 +8dGAujeVOOnzb4bKbA5m7klHu9Gs9azJ37ebQ0TO0D0tH6z3n+5If+ExB82U +oH196Hu+Pa8WD5hDYG3YQ11fKvFFrsr3m5g5nL2wrDyAzvXzYaWcMIc2i4Ev +Bn54n7i2v4he0RwO9vAWDKETFSZVOdTNYVn1wxnjc3j/LH01L2RgDiuknYoj +aBavvbcVLMyhVbGD39wf73M2bzQtHM1Bou7njnfo27ckt1zwNIeSQ/k7rAOw +/oeovckKMIeKraP7x9GvRVXqnl0yB7XFm6ftA6kETBrc/37NHIZV3rlNof/Q +bhfzJ5kDLa0i1zkIz0eeYodxhjm4u/EsfEKHagZTr+eZw3Gl3XAmGPcz1Uut +uwTfn1txfxGtkmxQyVJrDo+5P+3xPo/7U2Egr9diDqyHmrK/o1U/3fuU2mkO +521OSvpfwHxz0a92+qU5+KuYD6yg/8j+fnjinTkYegpdPn8R8/le3+ex0+YA +Drnya+hz0VvYp7+Yg3zVAPPlECpx5Sx9OLGK3/e9euofOmrXTYG8DXOYKyX3 +RYZi/YGVn8wsFiBw+dEzpkt4P19zp/lxWIDHamdvLDrxm9iJib0WMPSwaJLt +Mp43rsv3DYUsYFRanykJbTuYY9gtYQG6R56e4gzD+N4/KqciawFM4oyhqehG +SReHdrAA5sHd/TzhGB9NSV1q2hawXM0gno1uZss998LYArgCuu7wR2B+ahh3 +sLS1gLwqD54CtNr7lPQFNwvwZVsqPHSFSvjzsvGE+VmA/iFTKEFrRt6a5Q6x +AJOC+4sSkXgeU0L+1Vy1AAXR6YIqdKfijrOmNyyg3Xqb18mreH4YikT/pFnA +n2kJlSfo7JFExfu5FhDgriqqGEUlFuX4i41LLEDrlun+p+jcHWU+zLUW4LLT +9aDaNSrB+T4puaUF53sz+GQP2vuqAMfFLgvY0XbDXC8a66/bk5+nhizAS6s8 +dgjdXFwv+3fMAm5Pve82jaESlNKg6eezFqCssJdnDF3vYbqa8s0CXrB4B9vF +Yvy61/u70Cyg/t+bmWl0W9GajTyDJUy/snNwj8P7wrtr9VzsliBPMH39glYS +arnya5clnPkzEO0Xj/cfgc1PR/kt4X37f8dW0ZXf+oJbRS0h3eD9wsXrVMIo +Iuh+yQlL8LMTrt5AU/b4GmQpWgJXTV7c1QTs//2FzydrWMLWzSZ+LDfw/Epu +5o83tIRnfOB2A002j9KKtbYEthaPs5yJ2F/d3PY73tUS+opeh6ejWyd5jqX4 +WgJ7YVTBviQqUUjP8+PuRfzewMujeeiFs5FK5VctoXOunUckGfs/1sG9z25Y +QvNTC89StI9rSOyHdEtIfKXcd/wmldDKWY9by7OEsE9RpxvQt0NeHeArxfXo +PtikkIL13OCykWq9JShrC2i3ox/tDdnv12YJzIpX5jVuUQmhVJ3Y3F5LsDmn +lfYCTWEPShl5bQlGbZeMjW/jeeQNJbZPWMLMn/0C79CVCrM39RYsYSf1xLpd +KpU42HQqIfkXPn/jv8+z6P4QhuNv/1rCUMbzac807H9m+iOFWKygiKK1tIw+ +PycUFcRpBQoR5M3n06kEn12mbN8+K7jHOX7sL3rjcWOOsIgVXEr+5XE1g0r8 +5eL9L+q4Fdx6k169JRPrAehnzJ+2glcvXrAmo31yFiQM1a1A0iTTn/sO3pcv +RkW2kq1AynBjIRtdfa4h45i1FTwsozsnmEUlLh/nC3jgagUvtAs3l6BJLEZc +gn5WELlvqexYNu7ny19hBSFW0Ms04dyAvgT5dYevWcGO35dFle5iPczfaKxO +soLiyRcbHeizPKU3SXesILVseEbnHpVwO2+gMFKIv5OT3w6jPzomtXhXWIF8 +C+u4ZQ6V2M3GxcPWaAWt82o/JtHvYmL0yzqs4OhztV1ncrE/uJXqbPLSCq7p +b9P6jvZ78cWSbswK4HxBQnAe5t8cOemqWSuYJW2Z/IsmjR5ddftuBQ2FKirX +8jHenK7kHFizgjtZZvXsBXhemGZOTm2yhmBRdbnbaKPtbE33t1sDuz53P28h +lThaUXXcd681TG3p8ylAH3ufnK0obA2ljmcOHLmP/dgBl40dx6zhjcXPmWr0 +UZUFywV5a+D66VUvX0QlzrycqOpUw/8rfshoRw+Ps2wpJltDMkn1uvYDHM9R +xCnZ2hpWthTfGEYv89K1XXKzhvHcbblWDzFfv7QU9jlnDZq7LrZPo+H3+m2X +S9YQd+Hrimcx5rOlGg6HGGtgGvOS/YWW/qZ9zyHFGvz0N+JCS7A//5Ok6HbX +GiQXC78yPsJ+fMbop99DazBvd7FPQMvFuP4XUWMNtkukaa5SPH+JWQ9SW63B +JhaC7qKlnHvLKnqs4VeJC8+hMirBYNnzeuC1NZD9q/vK0eSP5/h/TViD3JpE +kmw5rueOnOR9X6xB98x7pzb08prEER0Kjjfaqq5Vgf1U5d8fYfQ2IO7zQX4Y +Tev+9rmB3QayDU4R1pVUIkNndjtltw3svzdqPIsOXG73khO0gfK4pgveVfh+ +3XP0kZI2cPTElzIKWnftzeBLORtQ7vf4FV6N9cF5avygmg24hJ7W2lKD68Ue +ciSUbAOr51wqUtCHrJKb31rbwOL4vPC+Wsy3z7lun3a3gckf/aX30dsSftcW ++NsA1zSX6tE6KiE2IXWQI8wG7k10fHmM7jrQ8PFqnA08OzBVoFyP/WdS2NKf +2zawddrbqx9d63zV8GIujmfuq2bWQCV6fz7duv7IBiTaFiQn0efsTglHNdiA +t8XUYc/HVGLq89wdjmc2QLW2OrGC7nrz8lzhgA34bbPUD3uC66tPLVUYs4Ef +5VMXWRoxXiqdDcY+2YBSBK0uBe1pyGdz+YcNpPXmMfA1UYlfaZKjwn9t4OXQ +lP0DdPe7grZXLLYgPd384ngzxnfS9f0xXLbwFmR1m9GCBOUnIWAL75RM36u3 +4PqbU2DjiC2wC/OGDqH183PZ2mVtQUD1xhGbVqyv7Wxm11Vsgf97xdc5dJg/ +WdDKwBa6A2Naz/1HJeaH4oIlrW3h0xGevHW0etlrIxZ3W3jg7XY7pg33exO5 +6bO/LaTEB2dwPsV+RZ6vpj/MFu5N6ZbdRRN+9ooN8baw78XS8OF2KsG1TcH2 +QZot7H1gu6UWHVY2tutuvi10DOaSiWdYb7+7eGaU24JqcdPDXnRhNbNdZqMt +DKdUc5h1YL74sfQrp9MWSD/jrk+hhdq1j5YO28IdcXVu7+dY380MdrZ+tAW6 +4i9VNDRF4ljByKItdA2E2UV1Yj/7UXD6J8UWHrFt2rejC/fT2vnVLkY7KO4O +X8xCN0eLhihtt4OToZQekW4qUWVa886L1w7647waa9AXfGE1V8QO5jznmoge +KmFnxTk4dsIOOm+dGehDp73x8t4LdtASTP1h3ov5YiN10F7XDn4mpB+aRdsv +j6yXWNjBor6el18f5huJ86t/XOyA7STfs3W0eERni9E5O4hsZTsS108l+r5y +WlZctgPlM3yFu15gP1Vb1ssRbweNtWaS+ejO44u7QtLsYEqwuUdyAOOVb7/S +fL4dsJ8yCm5CF97IU7epsIMd5/mkNV/i/DcGpEab7KD1zEHGEXQWCyOzWbcd +yGe6zjgOYv90IfvZ+9d2MJz05fU39OrddR/3KTvgGnv8JnQI43Uymu33kh3U +bR7+wjKM9U81Lzt5zQ4GCk9zpKELd9cKS262h0s6axqCr6jEnlDRkqGd9qAV +z5lciT4R7iMRKmAPY79iFxRfUwmBrJ/VYhL2cFXEyaQP3SgsojQpZw/tzfmD +FiMYz0wRw1nq9jCoY2A3h+avDgiwNbYH2UCvvwGjWP9nQ4SEHezBcnSjjP4N +xvONHQs/vewhgpPNLwn9fmd1R+dFe9jbk6rC9xbjLWGiMTfaHjpzCg4/QqvL +8b6MuGUP6SDHL/cO82/nwib3XHuYNrAW6UJHhAzbG5fZg1PoNpLpGPa7XXYz +ao32sMfX3GsGTXm495ZSlz08H5UvPvce8++D2/6Kr+1BzKWF+g+dWG57TXnK +HhR6ZswTP+D7JLe81PtmD6tPqnv2jWO++yRubP/HHg4vSeo9Ql9Nr4w/vckB ++HfbTst9xPt9VG5CL6sDWKyS4rrRY4PSVTYcDrBLZZpkPkElHKwV137sdgDB +JmX2OXSi13WP+P0OUM53Zj5wEuup8w+6Q8IOoHzMfJRxikokrCm3dxxxAP8K +rtEU9KsDphVuUg5Qeeb+5wPTGI+sGz1scg4ws2cbWxU613AXVy3hALW3jAFm +ML6bA5Ls1R3g+92QmJcz/3//L8Vteg6gyBI7aTf7/37I90CbsQO43ovQ+Yam +DHecDrJygPfHPbovf8L86jCUKOHoAB3p6uZb5/B8OQXuW3B3AMtCPlr2/302 +ce6BjwMUSv4qEf+M50GR/rtHkAPs3dHv24y+c6BS9uglBxDdX6auO4/5pjy8 +nRrpAI1E1tEP6PrbpjefxTnAQb0sMa8FKuG0Z09RSrIDaB+ull1HS5RUM7im +OwD741mzhEUq0c7MXix/zwEk38vG7vuC/ZTHjqyd9x3gS2hlXym626R07Psj +B/gaaXxA8SuVWMl64fGy2gEEPgjHvUAPXnTWrn7iACH+4ox2SzjfMLuwjDYH +8DvllfQN/TGpcnNklwNw7luUCP+G99ftevM+Aw4Qyfno4/bveP+4fvig/YgD +GO2szctFx/451WD0wQF4t7OeP75MJaxngoq1ZhwgmrHarh29zPF2TWXRAei+ +VloY/8D+qNCyjPTDAdo62Vxn0YQUpV2Z5gCrSV1Xg35SiYq+EkWNfw6grrdQ +y/wLn28J4jdgdoQEhmBa+v/dbOZptdURblf764uuYL5iMxDw4HIEddfZ+kY0 +s4GjSiivI9SJDB7XXcX6EXpzJPmgI/RvOv3fOHqc+dPbYlFH2LlFzN6Xgvs3 +6GTQecwRtDTyOeipuH9Hdp6ek3UE8suHoynotg//7m4hHOHtY+VyIRqVCN4h +HXJM3RHyeIIy6tEsFs1DVnqOkMSilqr5G+v3eFFRrIkjPMtpKBxDf5Nm/PPE +2hEEGYY7vdaw3pOnB785OUK+VuafDbRbk5mYiKcjnLrDqXLzD5X47hi4xfkc +zm+3yl3BdSoxlEf2y7/gCMFzR1nr0cKuDI6fwh3BTOJjnOZf7P/35Y8fiXGE +HTzG+96jQ4u05oMSHYHu1a2n3hu4P3ZcV5+lOgJrwv2LdP8wX4nwV3LddQSr +gBuqt9CdfrHnPAodIbqZfPAQHY1Y3uLX8/SRI5TeXeF8gj7kRX3CV+MIaVph +3Lr0NMLtCkntcqMjXKX7JT6BXqzw95586gjXKOZm/gw0gsxcJa3R4whFPtUp +TIw04vAWobtVg45wuWjzdAZ6vXPlIf9bR4idtlEV30QjFHr0rG5OOEKHS8OT +/9AXdKxrmD/j9wTsUzZmohGN69r14d8cgcX65vgcej+3ruv6qiP8dORNCGGm +EUppSe2X/joC/9v/9LZtphFOrzUG6ZicYHhH1MF89GrTw+RYdidIMPdmlWHB ++S1/ZuLicoLDm64w9aId4hWkCnidQNSrY6fdFhpR7zaxW0bQCZLnFE7+RDu8 +Zn3SL+YELa+/e0Sz0ogHJWu73aWcYP36dNVeNvye+K8yTPJOcNt379YKtEkF +P88DkhPYTWaHqrDTiDMzr1t0tZyAXd337xv0zAV9MQrZCawY01O8ttKI+POD +9gUWTnDsyp7T9NtohHJ6roOJgxOsia5TUtFt2sxHt5xxAj1v1U6x7TQi0Vf7 +xVNfJyhtoT78D82a0aAYdt4JwqJ5c0x20Ii7e+5EKoU7wTZS3cMFtPsQcY8h +xgkiHXufh3HQCF8nWkpvohM0OjhQdnLSCO7Du5zT0pwgs+mSfDE6YtfCDrd7 +ON4PoRSlnTTia3n3PbkiJ6iOsPv7Ct1txLqdo9wJBuYlL3lw4fvEmF2+1jkB +a03Wtn/ot6925fa1OEGge0nt7V004nTn7eflz50gPt7BR4ybRozxT46mvnCC +h+XPTreh39WbjUaMOEGl1bt9ZrtpBFXNstN33Am6hB9wfEWrM2sXO31yArp8 +qb2RPDRiC9uNK5ZLTmDudEWGZw+NuHQk1tBk1Ql4GDLdytEhlHxe479OQNsT +XqK6F99XqD5tyuQMK5pyDO/R/QofH9hsdQZF0Rfe53hphFT7qI/7LmfQdICl +zftohEzjPblgPme4l5oRcQ8tdaGINU7YGbI83ouc5KMRUeAwmyPhDE/its30 +oSlLRE/jSWcQyZOtdtpPI2jSTU3vFJ2hw8om9TdaqkOrdV0N/38mMiGZn0Yc +/OXySlDfGZyuVKSLCNAIuoGYv/pmzmBjtlDfik7xOUqE2TnD+r2Ti6YHaARn +9didKjdnCNt75/gSOpqfdeeCjzNMR+67EXUQ3y8HJULnnUE0rX2dV5BGTJyl +d3YJd4ZGnpSIGvSfnlfEwxhn6H+ZzKMjRCMmPQiV5SRn+Hu5o2Ma3aY64KuQ +4Qxff0pdCxHGeN7E3p2Q6wynqFOWnIdwfe2i9aceOsNPizfKJei5j/1M8lXO +cPwrDyiL0Ijhab/ltCfOcDKy1HAMndjFxEF76gxPf6Sf9z+M82sU8LTtxflw +TVWxitKIhCWLjc5hZ4jouEFXgF65qDEo/d4ZXs0UOJ8Ww/8rxkwXzTjDnIHo ++1foRu46Wb6vzrDjq6C71xEawbjoO5y+4gx2dzM3M4nTiA4Pizruv86w1yC5 ++S7ayYJjJpPJBRbntkbLSNCI3EuE3YFtLmBpyePyEm1jGCdaxu0CsbfqzM5I +4vMx6RqK/C5AH/3Flv4o5rcyrqYhERf4fKTt4h20jV5ZtOcxF1gPlis5cYxG +HFvbXrZZzgUo7rbf+9EFsHSsmOQC1tTjWm7HaYRlOpXLQNsFEsRaGv6h9+TM +WP82cgHl9U2nM6VoRAzLGZaH1i5Qd2n7K6kTNKLwgCKftYsL3C2bDu9H/67m +u8vp7QL70qJIbtI0oie8M34gyAUO6/3ZTXeSRuygp8wnhrkAaVyX8Q5acat3 +o3GMC2yYhTNKy9CIzoRv9HzJLmAxksEzgF7RJdoXM1zguU+O8hlZGuElc2ij +Oc8FShQzrzCcohEuHl6Pb5W4gKh9wkg2On/uwy+fGhf4QQ1TkpWjERY/VWv0 +m13AUPB88xDa613Ab6nnLmDDEWrgJY/r+0e+h3fABW5OJlOZT2P+o3gLb3nj +AuTnrbV5aEmD6R1/JvD7PrPGKCjQCLlfvok/5l2AJTTU5w36zYfl3K8/XOBj +HfdZf0Ua0UsBna9rLnDtxfSlrUo04lGwUvIyoyvMUT8VPESfbOnx/83uCoGB +hyZVCBqxzf35KjO3KzCElxyfQPef4t63h98VPttdyAgBPP+MBfNHD7vCT5M0 +Lm4SjVB7Z2Knc9wV0opZi6rQg3+4I87Ku4L+/fe6eso0wpXnDTlZxRV40rZv +WUCvTEa9eqLrCqpDpWNRKjSilIOTbd7UFRYKnjwVUKURe5f91/ba4/c5KbQ2 +ox0n7xYanXGFmLOnBy3UaESy33X2pHOucI6rhbqCDngsc3IwxBWoLV3SN9Vp +RG1P9gHuKFc4OuAYI6FBI27MNr92uOEKd/Nufu9By3zNMKxMcwWFPFtvN00a +cfupdNamXFeIO91Px6iF+bk4rda22BVCRmaKc9B6Vl25TdWu0DpXckZBm0b4 +PRpy2t/sCs0fRRTfoVXL2/9ee+4KFicdRYJ1sD6vFgf+HHCFhza2Ijt1aUSV +d2av81tXCHt7ULES/VrqPsPYFP5+4PEZPT3c3+EZftMvruDfLFiyiK4T8REe +WXGFJTEv+lh9GvE32p7basMVUlbTfYQNaMTW7JHVmc1uMP+g7Ec7+pL9cqc/ +hxvYvayJdyDTiMojwwnMvG7w31ql3Aa6dDlHO0fIDWRaHm1kGeL5G4tgVJR0 +g+qqkndyRvi8y73GCVk3qDpb2/sGva1DKCCG5AbtsS+HgoxpRGyo8jFpHTfQ +LGX4vtME85Hz4dVPJm5wL8jkYDVaYHHL82w7N3gZ33eWbIr1ZWFfgcUZNyhN +9en7hhZ5lJmyx98NREmqpBtmGI8MTWkToW6gomD84og55juB1uqSa25Ak8v3 +7UWTGqcXQpLcIPmL7GEPCxpxHM4S5Ez8nZWXutkSz/eF7HqxAjc4ZG70oQj9 +MabFiLXMDc7Gz75Rs8Lz7c+z+3u9G7C7vl2YRUtF/2Z+1+YG3dXSnFHWNELz +doVwd68bfDxOZyhog8+fTAhufu0GfjWkonZ0u/XMet1HN+BgpON0sqURaZVs +zbXz6B+k2/R2WM997Roe/3QDQZNtEnnoSD/Zn0/X3UCbwesD2GM+2bLqO8js +DmLvHPMn0RmHaCdmd7hDYhUlLMIB+6HYQtLfve4w5XPcX8CRRhj5O2TzCrvD +QwrPpTZ0RtNtDeKoO9Aka7MdnDD//ipVPyPnDj/oWV/TOdOIcIfdd9NU3GGf +3YGDeejcGVX9Xj13mD9JH0NyoRGP2YptGS3cQfZSJcM0moercYDk5A4MYjKp +ka40YidlufCalztIn8pUEnSjEc81e2YGgt2h4sHkxjN0bMDTRL4r7rA1aOeo +izvmi0Kr4nPX3aGx5FQH0xkaoV/HI9uX6g6Beub/67i847l8vz+OkESUSGUX +yciqVNJ1oiQkSqUlGdl777333jOzfFQiFBmhJNmjkh2SJKH3+77R7/r+/Pd8 +3G/XOue8zuu0F/2P5fwVxHJNgNnS+dsFMwoa1BF4Gf3IBGLZs7i/Y64z8nlB +qTSBO5d6DcLNKchD7shR0wYTmDzN2yJuQUGOxq+Pf203AYWlwNOdmCl5LU03 ++k2gOYz9g7UlBR3cMjw8NGoCU4fe2rNbYf+cFe9z97sJpM89ka7AfCogrnbu +jwmsrPYw6FhT0MBtx3C3TRP45HZ0eRVzyfjXVbZtpsCYNbqaYkNBeqEO/x5z +mAJ3yhD7KVvsj22/PrrEZwrfE0SURzC/3vqWXBE1BdTRG+lth/PTcXQ1T84U +RLymfgrYU9ByQX+mzhlT2Ji89+AN5lWvuyssF03hK7q8ZuxAQXSLUjQdV03h +80BNFpMjBdk3M7RE65mCxvLDO48x80dmKOuamcLtkT1ymk4UlMn0zP+QoymM +TO4X/I351A+moHVvU0i/VS2S6Iz9Zaup5lCYKcin/VaWd6GgRdG0yepEUzj5 +t8f1M2bTEePz2Tmm8LznXquXK54XjLLcwx+Zgmt0/mFBN6wvB3YGe1aZQl5Y +XmELZhaWZAvHRlMIETc6aeqO6/3DFin7DlM4Pft7ersHfl/2Y/1Og6YwIXSl +5Anm+aqt93wmTGHtemTAVU8Koo280xe9YArBK8XOfzGfKN1zrOCvKZxwKfPL +8ML1sUcgtIHODLbfzStA3jjfiHvd46xmYHMwemwKs29hy06mvWZw/oq7bKgP +9k9xZ7SOHTSDq9ZWWRK+WB+uN8WYSpnBDL2NQA/m/DLl/rxTZmBcEPzKyQ/v +594gOHHeDBLGXlnv88fx+SrjKaJtBuEaXKcaMBtvy5i1u2MGrsFZvEYB2F/6 +bZq8MTED50M3924LxOvtMKTd72AGYQNakuWYzTx7q129zaBILvLm1SAKEqS/ +FTMSZgZrc7uyKZiN2JkjVZLM4E7hApEVTEFwaO3Zi1wzaOIUtFUOwXpsdYxB +sswMKAvVG3OYO7ZOhpVWm4H295qH0aH4/Yz3npN4YwZ09eIGR8Nwv8hdl6/6 +aAaGktwnP2PeUfrE7NxnM3iwGSTqG47XZ7/19dM3Mzj7y1NaJALrdbNIitNv +Mwjoo9f+gLluQDljz4YZ3LIXDrePxPW2OPmzgckczuTNfOGOoiB66okE693m +IH1US6UB82cD75gDAuZwhMG83Tiagq7/WJwZFTcH/j8KxiwxOD8ft2flypvD +zEjn3uf/Y1ftGlNlc2ApPjR7MxbXh96HU/KXzSEftDtp4ijoe1vAYZbb5nA2 +5sqHYszanS2hsw/MYTFYblozHvtntvE77fbmoLJ/ffcaZlW7w4+eeZvDE9VK +vawE7PfcKY654eawtsWo6Vwivo9iSVNSsjkcuMahuICZ/nJKYly+OciefN+T +kITnH0bR5YRycxh5HeujkIznpe8No5kvzWH/b2uVKcxLx9/plbWZg8MXS5GI +FAqS+Pefc3OvOcwnxvPLpWL/1jYhNjZqDifl52S+YE7PHvKh+2EOf0ec7gak +4XlUdau7xF9z6C1UzhdPp6AbnAu8d7dYwI+qmzT9mE/LMNgmsllAoGyji2cG +BbFZDDj27rcA1ks+TMKZFMR0dkp6j6gFNMnkVHRizn9bU2Jw1AL+7BV1ds6i +IOfXU+OVgL8fF7rKn439z9fVr6yXLODEu6SL7zCbugcWWN20AOkdETftcrB/ +eiN6st/YAnZdYg7Yl4v7uZ9P7ll7C4js2t/2BvMO+8NjVd4WoPD1rZBVHr4/ +bwdVOsIC6jq50rjyKWizkmW1IsUC8pbYDzdi1rFNH1AosAD5vNe9Zg+xXh85 +mNvx1AJmTosmcxRgvW27e9Og3gK6BK871GN2F/nHQPMer1ejZW5SiOfhj28e +FQxaQJqVgMfOIgqyBgsNrSkLOFraWfgK8wXm2l90S/h8k/rzxsW4Hu45ptWt +W8Bm1KQqewm+zyNTTa9tlnDlwO2ml5i99Y05znNZQoJI31XjUgpiCFf8yXHA +ErL3XqVhf4T7WfC78e9SlhDqPdX2EjNz38Ry22lLKJ2LLDZ+jPtxmKno44uW +cOfbjXz2MjzvC0Bw8nVLSGS4VP0K85OtWjvDDC2hcNZx5sF/FNRVH/DR39YS +vgkNS+0qpyCx9vfNAV6W8OWuT0I95pffuf9EhFvC4nGHnWZPKChm/wOjjBRL +cNavK939FM+LYuX7KwosISzQ8E4jZkaV37zdzywh9ZrdYctnON8y5WxXX1vC +cOQiO3cFnn+eee0R+mAJBeNTu1owO1uPcF//ZAkSe25J2T6noAOh+m5xM5Zg +uHLzAU8l9g8c/Gf6/1hC8OmF6neYwzNlLPlorWClYe9BpyrcT2qqmGx3WMED +7R+PBF9gfyDdyd2+3wo4W8w0PmLeG56dd/iwFbT9zmLyqMbz4DmdkrjjVpDY +FDt2qAbX/3ZeWdpzVlDOqt7TjzniisQ5V20r2Gga+OpXS0FZ1bVTa3r4+4eT +DFIvKUhShJbLy9IKanl9L4xgvsCoPM7sbgUCj54VhL3C/Uul5UJuiBWIWQ3x +yNfh+j76UVsxyQoemxBPpjFXO5dvmcy3grDMA3rx9fi+rNUG0U+tYHbXnUPw +Gtd36xlHpddW0NtXtn0R8xkyV3GzwwrK/vJtz2zA+nBasaXpkxUIxb8SVmvE +frPQhTVq1gpU6iJuUzDbH6vl01+1gtaE1LKiJpz/VjYbp7ZYw1blH9zXmino +yx6WJ7w7rSH4V2Tulje4v84znGTitwba1mDlCsy5O4dzCQlrMCAmaO+34Pte +pVtYOWUN+o3FX9hasf8x3SbwV9Ua5K9PdL/GfMTOWYn2hjVIbKRMWLVhv+Y2 +pMthbA29a/2svG+xnqs1mEo6WINNQt61D5h7mVtdLvtZQzjf1lqPdxQUPBcY +4RZjDYVzO06It2N/vJpT+jjLGnwuNfd+xvx8+dXQt8fWwPxILCz8PfYX9wL2 +i760hnl97dunOnB91ha627+zhpFBdHEes7H0ENEyaA07Pf9dSf+A55lv3Xn8 +36zh8Ks0V7VOPA/91XLy/2MNX9m4XxKYVRT2efyktYFfSwF7Hn/EfjBxpUaf +3QZGR2dib3dR0MfFsqMjfDbw4K6aCEs3vr8o58o9SRtYpVQP1WFuHdmy8UPB +Bu6eOVlo1YP9VLfONV81G1iuH4rm66WgHO7vdLw3beDwrqzELsyjAUXbm01s +gGsk/oVvHwXtnnBxsnG2Af2a5hWZfgoyuX1JRTjIBvS0jl+ewjzPyxM4lWAD +Wtp/WxMHcD9wGT36KN8GFizYbqoMYr1aSdBze2YDLTdCmSiY4/ed3ardaAPl +PRb9pUNY3/77dVSmywaGk9/U3R7G/XKg/OfeURtANmlNrJ8oaH0sXn77Txt4 +IvJ3sgFz+tEqboZ1G5CMmhGw/4zrSy+9I4DBFnid7DwOfsH+fCD9zjZWWzj7 +Om95EHN2jq1Swm5buHLeLzhshIIaeeV8BXlswffnXvnTX/G8arXOXXnAFozy +neh/YR7U+86mLm4L81ezF/NG/zdP7zWdkbWFUkrWqs4YBd0qKT8YfMoWpkO8 +9zKNYz/D+lFVTMkWJGjVbr3CPI1yhnov2sKKKXON9QTO/3SNfh9tW1hvb5cV +msT+6OIWJZmbthAoHf9+APMruT8HZvVtYbbSyidsCs+/fJe98kxtgc7ygbbi +NJ5/wjW09W1tQc0rGH5jhv8OPDzgaguiDMMahd/wvJvB5vzDxxY+yhg735zB +/fuGZmd1iC3USZyoZ53F79MkUBYaYwtP5W4LNmN+qf2eUy/FFvQ8h/Od5/C8 +ERbHeiLHFkTOvTwr/h3PX50NyVzF+Ly9zJtjmNf18yqp5bagZN8/lDiP17sb +ZD7xAu/vKNh18QcF8Q3Uv+p8bQuOYutTm5jrGnMev26zBYdVa67KBQr6Sfor +Vn60hRrpwAdmPylo8n6zY/kgft/zKv18izheja90/hu1hSPZDff6MV8f6xp/ +OmML28oJpvBfFDTnasBTu2gLzPO03WgJ+1uNz8xta7bQ1j1WuYr56e68J0Ob +trBrKrv68W/cj+MP7FhktINdjy4O31/G+RbRc3gbmx2sPZvn4v5DQYqDvIyH +99gBe0ykw0fMohreRZf47WDy08nFwBXcX75a7HA5ZAem0hvBCqt4fi8yOFso +ZQf+8hOKy5i1GyeUhuXtQCRraVfpGvYLVy242MEOTFiOM+r/xe9RFdigoWoH +yYp1e/ZQcPyMX5yN1rID6+9RFz5iDvwdkduvawdtA1VJQVSsp5KJY/z38fma +z9ApEvg77306WzM7SA+Ri1rBzP4yhKXVzg72/c4+Xkbi+VY1l5bf3Q7khyI2 +DdcpiGqu8s3L3w5kuBm+7d/A9TrK/Woi3A6Esjnn+zCLRtcGqyXYwVHNd6yR +m1if3nSq12TYwW4eUa1z//D9FjdYxQvsYHgDPVvHPNex2p1fZgfai/tkqmio +qNHGKJW/yg6eLb3psqKlIk/xdZO8ejtQ3aESJUJHRScz7JVF2+zgztUyszHM +CzO+Ryo/2oFuP61x6hYqkjSckjg/ZAdbnmv7aNNT0bnsm0pfxuwglam4hpmB +ilariuyd5+zg6gbLzhbMM5JxTVy/7WDgdXSoFyMVFQxNytZR7YDfX55ffisV +Vf82ff+Azh5ovXYNLGF2PLESwbXdHjR/iz16xERFLIO6Hh0c9jB/IDLbaBsV +rV+2zgzisQdng7MVfMxUtFHF9uecsD2sU699G8bsXrY/YNsRe/C9MCCfsJ2K +aI45avUdt4fkkvell1ioKP/Hpl4+sgeK71kFJlYqEhguqHBWtYfIM+cXmjGL +P75yWUvbHhguTdR57aCimlLKCalb9vBWXPC/E2xUdME73IHD0B6YdNjr/2D2 +z/pHt2FhD3pqLxfK2akoffPKjx+O9iCWJXbafCcV7RYKkB73soeOT5aPhXdR +UaVu/OCnYHtYSYk8NYG5Nz14YjjGHm64JX3P5KCivmtm176m2sNToYQa3d34 +/TsuHJ/Nw/c/GVe8m5OK+mnkQtce4f93znjRjdnVHV3eXmkPR2Lqv0VyUZFq +XlCMcL09cKItxy7uoSLZIsFL59vsIfWyawEDNxUd15OLNO+yh8UI0aPNmPkM +RrWShu0BWvmnvfdS0UdptZzWCXvw7DOrVNhHRdnC+R7kvD1Ypu0qpGB+dIpz +/viKPVhvCr+o2k9F01cGF1027EFu/smsPQ+OjwpP9GtGBzivU3dSmhfnW43g +B2Z2B1g6dqPsJ+bIC8L/3dnrAFGxkegxHxWd0Tc7VinkAKvWpn9M+fF5VI+a +7ZRwgNYva29FBKjIzq5bw/GYAxxbUK6fxqzLFzk9csYBGJtv9+ULUtEpz9qj +6qoOIOmuxnxfCMdvtPxsg7YDDJ/lMeA/QEU9Nm1sJ287AI3a189fMRsE6D2s +MXIAprdpjpkHqSja/xPNGWsHqFm/K3VbGP/+UZZEu4sDKEod375PhIr0AjjF +b/k5wPeiI0yfMH8vfULzO9wBTr++KpJ6CMejcPRZVKIDSHc8M74hSkW7bu1V +ls52ANUj19q4DlPRnpbPNcPFDpCoo6Y6iHljNW9PyDMHGHuU9SNJDNffqWVD +hVcO8Lvk9tNr4lQkxXE1f7XFAY53xCZzSlDRwWNaQ1UfHUAg9WL2AGaFHLet +nsMOkJoW/zZJkor7u6G86qQDqD1w3XX9CBW9Nyyy2LfgAEqJW324pPB5ecZK +llcd4FW7BusQ5oWq8j/d/xxg7j+d+hRpXJ+PX2pVbXMEh1/iMboyVGTdWdaS +w+EIUhfH/PfKUlGshJxOLK8j7HLxSP2MOUmbhj7kkCOYnGHtzpDD+X6uYzhA +xhEKLPMO3z2K88/l8lCwgiNofTpXyHeMiswfatDHnneE7fr0yuOYgzlDjHIu +O0Lz+AJd/nEqCkt9u1550xHY1bZ/M5SnIm7PLz3dho7AHWH5XfgEFf2MSZxb +tnKE8Txe9jnM1kLt5/e7OkJ8hPjNRyepqEpcZ/GivyNoXn3YYnmKikCac9Y7 +0hF2b4u/IqWA8+PM0tGXyY5Q3Uq/ZRmz6PaPI2SuI/QVMg1WnqaifTsyp5Qf +O0JI76MOF0Vcn+c1NOOrHGHKgzJ16gwVddwfEJxtcASRgU2+TcwXp2QNld47 +wiJvh2cTwvH9a7SnoN8RGLLMNwKBitYcbJVZxhzhbs58rupZKpLYfm/B/bsj +0LvqmrAoUdF2VbRn6Y8j5AY3aXVjPn3/YLvFpiPwSsvdTVSmoglDka2LTE5g +MvoyUvcc1q/rBoPOHE6gyvhgjOc8FbUeIBQY+Zzgg7DStQnMfJa7FTNFneBW +853FQhX8vlMjoyfknMDY4M0j8wtUhA4EiowoOsHVvIBwKVW8XwPaG6zqBE0c +j6NWMFM01OqOX3WCbOMLlbUXqej60andi3ed4MbpB5vealTUtfeyaJmpE7Bf +4rQ8p05FTPlDpK2DE6zpGGxs06Ci8ZiOxNPeTuCw53ZFF+a1x96UHWFO4G/I +GpF0iYq6316UmEtwAg7mkJDbmlQUSBNx7F02Ps/sQLHgZSqqSyzc+6TUCQ5O +bl2Yxdy0RjuaWekEw9/EdMq1qCignjU0rsEJTs9rjDtqU1FanQJv1HsnKJrz +iFW4gvNzD/3DmAG83/dWI7qrON6npvnSxp3gBeXE3XbMb7/oJZf+cAIdqSm3 +WB0qKpkndzStOUF0ae/LG9eo6OGYavQYrTPwRXEK8F+nItaY4b0MrM7QyPqy +dAbzCJtytQy3M2je/3ij/AYVKX0TtjQ+4Ay33uqLOeti/Tt68EzuEWfIDPYR +PHOTiujiZmQnTzrDibUTioy3qEh7fJ+W+HlnELbM8PqImSPPMcNDyxnS1Kom +k2/j9/9Vtq/vtjMIkYmW9+7g94nx75MxcYb8P6r7Re9S0WJzbUeKvTMEPhtb +XMI8qMWzjcHbGSJqTGZr9fD/v3eLcwtzhoSEX/QB97BeeRebryY6w6eRoAsa ++rg/gG+6a64zFMmefMJ5H/frimmRLWXO8PEU9+kxzInnX3EmVTtDfLHMYokB +Xp9ryfLIG2dIlk1stTekotdHnGS7PjrDQIZm82kjKrp7R8nS5bMztFTYTDMa +U5EluiZwaMYZpC8wSvRgDrJ7pjP62xlGTgimZTzAem+iz5a14QwPLbvEH5hQ +kVO23XXDbS6g3cs/LW2K9f8OISXD6QKLhoLNJOZxGq58RkEX2M871dpmhvOf +8q1iSsIFqlgdf8WZYz2pijN9d8IFTM9NnblrQUXMXSrtledc4OkkqhS1pCL6 +vhNfSrRcwHV72uUVzIRDXkHBHRfY+LnB3mhFRamPG8VLTF3gZ4MXJcKaihgz +RpyfO7rAStshRl0b/N4RZyPbfF2AV237qYO2uN8JKNlPRLrAwxz5xCXMxTLy +UvRpLpB5sG53vR3O7x6f9iOFLtCNSl6F2WP99/a7cP+ZC8TqbQ+77kBFprwl +TzLqXeDIxornAUdcn4Qx02i7C+RkOaYsYWZplNMVHXSBXV1pw/VOWD8tYwvd +J11g/qAjRDhTEXsJ7d/+RRc4p8jRpetCRbbOHFflSbxfS3CgiCsVqRXpNuZt +dYVEk1H9Fcy77czP797tCn9/HjZqdqMinaS5uWgBVxDd5RYd605FLxLcnu2U +dAWx/76M6XngfDB7X5h50hXex97XlfTE/XNXzAcpFVcoeriPQmKu4/SX6Lji +CjsGuBree+H8emL0wfqeK8jvffBfmjcVcdH+q9hn6Qp6dtxvTH2oSHqDf/aj +qysIflekOeGL+6t+lk1EkCtoJs0YbfXD+lF79apWvCsYJAj9HsQ8mSOSxpvj +CuPb6AqL/KloZwuN6p/HrmB7JMnXOQD7s9C+Bz01rsAECwEqgTheninr1a2u +cM1nzxOuIHzevRrsxb2u0HzuEN0s5sf//pZkj7nC1Li4V3Uwfm+u0s7sBVeo +bD4mEBqC60vJMaiY6gpWOtd+6Ibi+o51GqphdAP73Rmjh8OoaEW5+30vhxu0 ++e4hCMxrdE8erAq4gZDEF8UP4VT0JUG5QuCIG/T+t1aaFYF/v+9tpY6CG7CV +uJ+xicT9QMTdKU7VDaLfuZAQhft7SQE5eM0NVN5tju+Kxv5qKklT2NAN+MwF +fk1jzk4tcPK0dQN915/C1THYP/FIuY54ucHxD85BYbE4/1HG3fMRbvDzQifr +nTgqaja/Llmd6gYbQ7QNR+Kp6Kn3wKJMkRtkOwmn0Sbg+LMllVY9d4Mu3ouZ +/ZgrfPYaKzW5ge+E17viRKwXQ4uiwx/dwHWon9cjCfe/spJ15xE32DxwL1Mz +GfuHhMlZvnk30PspeU4oBefbdlju+usGzx2vcK5hzt9peSCcwR10KF/Z3qdS +UejA3oBLHO5wp2VCLjuNisqN6PfuE3SHg8dt/OzTqeh3xeLCryPu0PhfCkUl +g4rk+h8ydp12B/1My7T9mVi/W9esqtXc4a3HP8MlzJytzWKluu4g0HVftzWL +iowZfpwreOAO0eKFzunZVDRGudVS4ugOBsJfXtvkUNHQXcZnL/zdodacU+Z8 +Lmbq3K6Pse4gX2rcuS8P6xHt1uXFbHegZH9NWMIc9dfy+t7/3GF4d0xgWz4V +hX+QUr30yh32j0XkZD6kokNFll3h7e5gNPZt2r4A67vCxZWeIXeYJMp1LhZS +kffcn9dCM+6wKEld5C/C+gkP5b1W3EHbbfD5GuZd0ckPJug8wG5W92FnMY7X +F06dyzs9wC0xvr6ghIpC4u2Y3vJ7wK2iJDrPUqxPU3SRqkc8YK+qo/3VR1Qk +9kt8tu+0B7ypBVbxx1S01/eGkJm6B0Qqs/bRleF8Pkg9z3TLA2hOLbz5jFla +PerWM1MPYCd/jVX8R0XC19JMjVw8wPKP2KGIcvzd6rGrYLAHrKc9STN8gv0A +1+2EuUQPCLWOlT/9lIpy81Sbah96wBHmcRrOZzjfDXi3J1V4wPLG09WfmFMp +EW7uTR4wRuHkeluB/aeAFqd5twdsKRU0yH2O6+fNkVnDMQ+Q75/55FaJ+yvv +2l+TRQ/IR65eV6uo6MZrLy3nDQ+g65jTkHyB88+8iBrN4gnzOuqqW6uxn/e/ +tf5svyfc6amwmcBMUxt1f0zMEywVZd+8qsF+TktRds8pTyjLH1FKrqUiX6qN +y82LnlDB3bpo+xLn179jp4p0PWF3w2ab+isqeulWGrBh4glDbZkdInXY73Mt +3rnn4gmnrCrWaeux/+WS6eoI9gQu4sqtr5hXykunlJI94WZD3HTNa7w+JfVh +S6En7Dzgn5HYgPv3h4vc2lWeUBsv72PbSEUfBtnV51o84Xh4a4xGExW1bWqc +D+/3hJko1CnajOuH14RdftoT4k/VyjO8wfPwXE/V4h9PuCSh0jWB2eYWM3q2 +xQuecRAJr1uwHpanVHlzeMHio7mgjFYqKrq//cCNA15A1yBc6NqG/aoAbdwp +OS84Jtz6+9pbvP8w37bDyl6w0vTZQu4d1pOB3UlCV/H3AHeOne24nv5mnTlk +6AWyJjVzi5iN03zY5B284KV7yY8P76koJz5s55UAL4ge1ON53IH9wf5kTdcE +L2jL/eUe9oGK5kzDu0sfeoHoVputpp1UdNTget7Mc7yezu8mlY/4PMor74+0 +eEFFd/gj4S4qEvExu+Hf7wVVg5eb6LupaIdqm9bEtBfEDugwTmO2LRRuUl/1 +Ai9U7vamB/vh2v8qmhi8gTHLdv/DXir670GMlDKXN4T7PP3h34fz6TejUreI +N0wH+M8b9FPRu7e3V0zlveHIPXKP8gAV7T8yrsWq6g0V76UcDwzi8yz+vl+v +6w2s0Uf/bRnCeiZOyLiZecPjIL7aaczfT1p1gLs3WCfT5bcO434+8P7E7ghv +uFu5Wlv0Cfdnk+zAPxn4POMstKGf8fz3xrt2tMwbhKXuuph9wf7/zI7JgXpv +yH5F8qiPUNFnfpLp00dv2Fm18VviK+Zd/07MjXnD95uuaztGsT/PHvPc8tsb +ln/6iv3GbHTFekyMzgdSP0pE943hevIItdDj8IF39+MEX4xjv6K1RyL7oA8w +8rVMp07geZmGXWL+mA/sDvo85DGJ5581B2elCz7Qfnie0JvC/fa9Flexrg/8 +LGfSVJqmomXpRi5ucx/41KreI/wNz8ssc/5JHj7QKNEeuG0G99P/CGP+KB+g +e5ps+hPzZs/xjqpsH9A78t6zZ5aK2PJn63Wf+gBPgltT1Rz+fbvRRaZmH0j/ +9PJ4+nc837rtcmvp84Ej2wtGvOexn3t4Xzfqmw98R+rPDX9g/0V2LRv89YGc +vLaXqgt4fvj5pzSf3hdOmkr8kfyJ57ljucrprL6QNBx/h2MR1zcj0kjl8oVd +qux/KZiZp0vaM/l94arQq+bRX7ifzNY1FYv6Al1faUPLEo7Xe/1TtTK+4DW7 +/PPRbyq699T3ZM8pX1BZLLsUt4z1N56t9ZeyL8SHL466/MH1TbN1avclX6A6 +fszTW6GiZ0ImaXDdF2QtDZPPr2I/tUV+0f6eL3Art9RJrOH59Wrg7GNTX2Aa +38q5+y8V9eYYRvyw84XXUudzSMyUK0tjMh6+MH8q4fYUBfvVLI0f3oG+sJ99 +m1oHFc8DlXnPe6N8Yby33vw5gf3SY34kmeILMdXv6jNI7L+yNxKic33h8CYo +B65jPSt2q1kr9YUnG4qk5QYVOc8PVxg/94URzqFv1zaxP6kxCftS5wvq9Qe2 +oH94vjNyU9Jt84VgV4WrojQEehRgOv2lyxdYPx0b3ElLIGI42enBJ1+QDhOL +JDFr3rVa/zvpC30nZZy+0RGo8s4dn9gFX5Cquh/XtYVA055f6KXXfCGlq2+8 +lp5ARs/MEgb/+YKcc45hAQOBbqtFyQRu84PzmSN7YxgJxCXQ/+0Ehx8saj7c +4r6VQDl+fS9WePxguni7oDETgRYkRR9Xi/hB9oCkvdY2AsX5Obf7SfsBD7vQ +XwVmAtHZm3NfPYV//4jm6aHtBPJPrM4WP+cHd2gmMzlYCKQiv9dwu6YfTASN +1v/DTGhcsVy+4QcpL3dwLLASSDVHsmn8vh8syEZkDu8g0JYXXqaDFn5Qlmh5 +q5WNQJOzPGZ9Tn7gmNihUcFOoP7In+1DPn7gT210yNmJ1//6KW4qzA9u5xl3 +Re4iUOOfvrdrCX4g59h7z52DQGbcg/Y7s/3gt7WAsOluAoVFTqbJlfjBiUJT +/uucBDqRuOXc3Qo/eCfXonmOi0Dvnqu7Rtf5AZ2mxnPZPQSazxtQfNvmB3Un +910S5CZQolZLxtYeP1jTvMDDvvd/51NKu/zFD/r/Lgj8w3xvIlAx5xte77+D +txf3EahVqC1m7ZcfWP7b2vF1P4EsSbWUa4QfxEY9te3kIVDTQf3bdfT+8Gr7 +CY16XgJlz96aEmPzhzbFmrv/8REohj3teN5ef6D/p1aYxU+gTyu+d/gP+gOt +PPOBaAECFT33u1N4xB8eTbENeQsSqGNt1xm5k/7Qx+3cZCNEID3pKqZ2ZX/Q ++3N9Uv8APn/R7zcPNP2B+cmHk1cOEijd6ZYLy01/aIn9/VZZmEA3csPFXhr6 +QywxFnlMBN9/UvibjbU/JOlWhB46RCBHuU/lkm7+8OdwwKu9ogS67nkr5k+A +P+SyWAmzHCbQ+Yem0U3R/iD+MLxtE7NifcfzlDR/2Fe+lv1bjECbh69tdS7w +h4fUjvJpcQKVWozF3nniD5n2wmtDEgRy59fUVX/pD8ZMfE4dkvi9AqKNlVr9 +IfFtt3jDEQKJcKc0nu32B+9+3X3PpQik22xid/GLPwjp9UCxNIHO9m3zvTnj +D2Pl13IyZAh0Szl2xe43/r6f9nisLM6fmj1D8et4/32/6IPkCGSl1CZVtzUA +eI4osLgfxedr7mBc3BUArj9oNGyOEch87L6RKF8A/KK902J0nEDeZIeWxeEA +yJY2dbolTyAB0xv9L44GgMSls/e0ThCo+fbtv8wQAJ1KW/xVThLIae5Es4l6 +ALxme//19CkCBavfVuy8HgCf3jyzl1MgUHmXvJ2CQQBA1CCInSbQ0Z5LDyqs +AsCoQEdVUJFAOj9FhGXdAsBETzWM+wyBRlavv3gZiM8n8HELOyLQ6a2eQhqx +AcBqSlezFQhEW3nGfiYjAPa20Bb9wyxAapeHFQdA2/hc59+zeD8ph7FjzwOg +w6VfakmJQK7q5jt+vA6AZzcnOuaUcf5ObjtX+j4A/tlI5E+cw+8vJBVmOxgA +iS96Kz6fJ9AMU/MMTAbAMvq90adCIDatKuN9iwFwR74woPMC1pcQRrYNagBo +ftp+7q0qgfbwvf4xxxAI+Z5KqOkigdatf9GP7gyEltAHTq/U/nefGsMR3kBY +8U6aqVInEN+FczunDweC+d+F+Kca+P68bVyrxwLhSm64++NLBFpV9/ZiUwqE ++DORWUWaWC8YazTlNAPBpoRtPe8ygXz72xP0bwXCVJ9scpYWgTRKOa+nPAgE +pRYOyzRtAjmPMeUM2QfCvqxur6QrBNp3m8dV0CcQFiJDOuKu4vXe9887RgTC +tm/Xr0XrEOjM/Waa3pRASNh2d3/ENQJdJn3fnCgIhDOONbyh1wk0d7nmdOnT +QJh7HnIn6AaBKOw8zgfqA+Gqw/chf10CdXVbuBW3B4KL43qM700CtfA4aB0b +DAT36LFA71sEEsvcxtA5GQg3nz174XmbQNycHHnWvwIhejpO2OMOgbb5+BzZ +tx4I4So5PW53CRQurV7dxRQEkazUl656WE+bvM/HcAbBlYjXEy738PrnpaZ0 +hYLgkBCbios+1mcb73QJqSCgXGOec76P76+Z7sR8OghyXne9dTYg0MPCeu9l +1SB4wOTzzdmQQLEM0o3T14Lgw4b8WRcjAmm9OH9uwgCzz74vLsYE+jhxj3PO +JgiYQ1Seuz7A/aVmQZHqGQTRIiPtbiYE0r5l8m53eBBMRZB8HqY4P0dvNJxK +CYLXlJYKTzOsb8+vSloUBEHaW90gb3NcLxEbPEXPguCOw1CyrwWBuq8zpP14 +HQT6Yfdn/S0JNGorWqbwIQiEK/e4BFlhfXglcz/5UxAUVe5TCbXG7xFCbSZn +gmC7eYROhA2uzxnjEYuVIGh/E54fbUugmgzzmhnaYJgePikdb4dZaJuBJVsw +5HbUbiTZ43hyak+v8wTDuynx7ekOOP6V99RSxYJhzveZbrYjgSQs9XPOnAgG +KQ7LmXwnrJefIxd/nQ+Gp3JelcXOBIJaCeWyq8GQFcb4psyFQDyCySUO94NB +ZezwrgpXfB4PSTEVm2DY5NiWX+2G4/PcuO+AVzCsH2yzr3fH+owan7BEBMMX +0YDANx4EYj3S+Z4mLRiUrhgMtXvi318Wl6YpDobUhSCLbi8CMSuF/mCuCobB +++xnh7xxfSTnMgm+CYZMuYO6oz4EYulBCUo9+H7000+/+RLo331IsRkLBsZI +e/Wffrh+d0UKlPwMhqGs5UOr/gQ6uLZfYYEMBm+pEJWNAOwf1CnLCswhkH/p +ajFDEIG+T57QSeEOAcTvrrYjGPdLHgaLTZEQePCTT3pPCNbfkQRlu2MhuN8Y +6wqEEuhCj/j8L+UQoOG3fXM4DPdn2wMW7ldCYDHD0E4unEBHNsd72e+HQPc5 +QwPFCAKl/vws+dwmBHR+xCdfiMT59SYl9L53CAQGcu24EoX1Qab81/6oEGjb +t6v9TjSBCgVbbSYzQmDvSOlbkxgCHfqRwFn1KASsmemYHWIJxOgy+TOhNgR8 +2VCsdxxe72AYg8+7EIgyD7oVHo/zRdDOzHkoBNJeUU2TEwgkcy1RxH0mBDYa +G1/lJxJI/9HGxfDVEBi6+u/KkyQCJay+Gy+iD4Xj9p+P1CUTKJ/mAKWLIxS4 +jrhcbk8hUBZ5MYvhQChE1hGVg6kE2qEX9fWCbCgM24ffm04j0I+tmm3JZ0Mh +rkn98nI61reLm0bLWqEQccookCYT92NJobe39EMhIJS6uSML51/EZaLLJhTu +ecs08Gbj+4xLslzxCQU1RtlWiRwC7a51Zp6IDoVwMcGdp3Ox3nSt0nllh8IP +LuGH6nkEshgN3SJSHgr/9hh53M7H+TjLv2+kPhR44unTLR4SaMmrXienMxTK +2CX/eRTg/vwf9glfQ4FGkf5xZCHu91scrC/9DIWj40+zsooINDy+YHZiIxRC +x24OlRcTSD5QplmaNQw8VER0G0vwewnlBR3nDQNdBUWB3lL8PmxPmi9KhoHh +tjap6UcEGpiYCDFXDIN+7rngtcfY317tm0q9FAYRf98Lb/sP19MT6W/9d8Pg +nWoyC0851hPaV+l81mEwOGanIPWEQE8rVTicvcNAoCSoQukpro8zdXe/ROP9 +yqh2158RyICyJ0wzJwzeC665mVcQqPqCeUHXkzDI1Hn43vs5zq/nQ6/1GsNA +pu6wUUIl1tujabNkdxjcnHmmUlJFoM8S65LFE2FwMt7Ivv4Fjp+VQZ7+chh0 +xJrP9lYTSKlWSVt0SziYjy8UztUQ6I2P6KVNjnA4mLO7fLMW/35/ZcHkwXBI +ZN5Ow/kKx4M/w2TgWDhkB1IzxOsIpKZbUjioEg4vErf5K9UTaLzrlfXMjXDo +nDCquPmaQNZKHb30ZuFAe/yYpF0DgZ53T0zIuIfDYGDBcmgj7k+uAmVWEeFw +dWiELq+JQMfuvT5bkxkOa+ZMerXNuP8YMD3fWR4Ol1O16XvfYD+Zep/dvQGf +59Pk6nwL1o94ZfPf3eFg1D0jS99GoOMaZ3pcJsNB81zoK963uB7VKddYV8Ih +mXc5Rv4dgeyJI9sqGCLAxPzyU+12HK+wF6TxngiI1e/gsXyP9eaE+5nDhyPA +9WrcQHAHgeJzPCfJUxEg/ebD57wPBCIfDlG+akSA1JVSifpOAsmG1cV36UWA +UfuVjuGPBJKUcWzqtsW/37X6YqUL+xXve8kT/hHQg+p+sffg/Bb/K0SXFAFR +Uf1Okr1YH9k/uMoWRwDcML+o1of9tlpIqX0t/n7wkblJP/ZX9+bbmjsigC+7 +8VPgAH7vS12TQqMRsDP1c3L+IM6/OVG2hKUIOMsgnN84hPWKd4sex5ZIsGLu +JEeHsd+P9J94yBkJhov/Hm58ItCHU98enxONhMC9P9J5vhCIIdq/a/VUJFwQ +qRtXGMH5atmhV30pEsQ/5Drd/ornoRQ1yzD9SLD+03bTYxT3P7MCZkuHSEgp +vhOVMYbXd0zRuBccCarcsex14wS637B+zjAtEkqKYqZGJggUqf6W0bUsEhg/ +hzFuTuL7t9MXZjVEgpHuf2780wSKbv0q298bCZsboopnv+F5rSHpzf6ZSMhs +E9c2nCHQY7EIc0dqJNhNTFcFzRKIt0xeYZQlCnjSAixK5rD/DZG+eFMgCk5Y +ydt3fMd+JEmk5JtcFOyllX6/OI/9kueMRcCFKGgQyXLYtYD9xLhuieztKDg8 +UG59/Cc+T66/3R/rKNgpl/Tq1iKB/qsL/NLqHwUOUb63fH4R6OWWLKI0OQqm +b+apFywRaG1TeCrnURQwKonGtP/Gfv1gSmnx6yjQ3aki/GuZQGgg0KCpNwri +3orv4FzB89lartDPmSjg82NWU1jFek37alOMjAL3dI5P99ewH/7esN2DLRo+ +hbm+Cv1LoNcPX+p9PRANWevmv59QCLSo3c9y5UQ0vGjh8RiiEijCUEf8k0Y0 +zH1v0P1HEGjry9wu+/vR8CAlOPzQOoHucJ1h43eOhgyJh+xaGwT6Od/172t4 +NFyRU/3huonv/4G7+klONAzrlezL/0egihlCLbEyGrYnrmV30JBIptOlJ6I9 +GtznjF1XaUl0rfmpfvJoNPxNPVzMv4VEurtnd1T+iYbq3U7iavQken3Hc3ma +KQaO/PVgcGIg0efoZcHDfDFgw2Z/LJeRRP38C8995WKgSifiVcdWEn30kGj4 +oRoDfktkyl8mEtlKpt4y14uBJAXK+wPMJHq1dDRr3SEGPBsqdbS2k2htl1h2 +flgMnJZ5cMyLhUS3Hjc63smJgRMeZ60esZLIrtPwhFhVDCQ+91gf2kGi4PJc +GpaOGNASVptiYCeR5qbIN9qJGNA4Pyl4dCeJTsi2b2z/GwO9jW41BrtIxHfl +jEwSYywI2akUx3GQyHSqLKl8ZyzwGHsvNu4mkdQpzRO9PLHANXQjeomTRMf2 +XRGmEY0F/ZPbQgT2kMhegTA9IRcLhFj7sBY3iYSt09k8zsTCL/+PAX57SUR9 +mCr87mIs2KlohVbsI9FbWatq/muxcKc8aGZqP4mU2vN7/PRjIfBwUTYnL4ka +ywd9Fy1ioUL7+9MLfCSKpq/tMXaJhUcbwbzu/CTalcPSM+sfC9bHq6fLBEj0 +Tqk4wjE6FgzkKhjHBUmkN2a3gyU9FiyNngZwHMDvm2z6oLwwFvKs5m9fOEii +4tH03NvPYuGBSFqMhzCJ9MvE33PUxwJ9xirfUxEStVVoLw2+i4VRlpPM3w6R +yPr2DYHC/lj4ScnU3neYRKHT6Sbe47Hwhen26mUxnA/Z0X0GC/g+gv+tBomT +iMJda3eFgs97s/NKnQSJOmWrLl+ijwN/xjWWP5Ik6tGW9bjKHgdKj+8fFJPC +6+mu0BrzxIEnq3rafWkStSz3/fYTjQM17p8WaTIkWml7rfvoaBw40QZk9siS +KMO7+twoxIHGIVVx5qMkqt42+Ib3UhzclnTlVj5GovTsC9OmN+NAekbTyPM4 +iTzWNCsbjOPAwICJ7YU8iebMzikJ2eP9Zsa5l07g859MzsRGCvz+7PYXO0Wi +L6nvepgj4iD2/ISasQKJ9nU5LcWmxAF0+zvknibRtJnm1gMFccDSdHz9iyKJ +uO33Cjc9jYNpn1Pf9iASSftW6lrU4/2edRzRAZyPJMczwfdxcFBG9FPsWRIt +nVRWnB6MAy2e6OlOJRKlpBmxPJ+Kg+JWBe3t53B9ND2TjF6Kg/HXNvwXz5Po +Q4vHU6eNOLjQb3o5RIVEZhfFC8yY42GB7cFE6wUSbXsN3OZ74qH3RdEA/UUS +XfHT4XE5GA+vL5lLnFPD+1G4GmNl4sEycelbgDqJCta1OKrPxMN4sBtdiwaJ +tr+cEp5Xj4d40/P+9Jokyp57t1XsZjysPU40Pn+ZRFzA0e78IB4GWErKgrVI +NGKx6NbtEA/6gY033mmTSEI4R0zeLx5S1fhNmK+S6GhKwI9H0fFQ3cPwRUOH +RAmBHJ3imfFgPlD1POYaicQ0xsdqS+PhgZrd797rOP4Xko5eq8bnM3FP5NIl +0fEff79stMRDYiFH1q2bJMr/PjvzvDcecup9tufcIlFu0L0HLuPx8LKEdnzq +Nq6HKgcL1cV48C4a2Xf4Lj6vnM7WQ+vx0H1Up85aj0Q04+rqHMwJ0L6rrKXy +Hom+LjWqsnInwAcV0aOkPok2/xzdySmSAK7crNuVDLCeHTv/Quwo/r4j52KY +IYlO0zy+qKmUAJmk0FK3EYkexCp89dFKgOHlr5vcD3D9Oc75N+glwH1VTuf7 +JiQa/9ygwWqVADbpO64/MsX567+gYeaRAPs+sOX8MSPRoNSLpL6wBEj8p6et +aEEirR6/kxqpCfCtSMkqxBLXe2WPWl9RAmTb0f7psSLR09rzI6ZVCRCqNznJ +Y0MiA5cMGtaWBFB5JKFoaovvX1/+vqE3AR59PURXaUciywi3S34TCcDZuV+W +xuF/8dudqb2UAOeitTo1HEn0WORFu/S/BGj23dGf5kSib1eqvvPtSAS9a9kq +s84kciOD2Xh4E8FtTVX4mCs+/+8GTVGJRJgvvGEb4IbfL2X3K2WFRFCf5xDt +dScRi/xNU2u1RFhKeqsh6EkiT2F/85KbiWDTWjdq64W/HyoY+G2aCPe/Ko42 +epOoqWqlXs01EYITktR3+uJ4sr2Xfx6SCPRzOw4Z+JFIIDbjhnhKIlgeXLV9 +7k+iMoJW9nlRIkxOJBxmCCSR1evqL2ovEsGBQV77RhD+f9k0s+XWRCBaxOZK +g3H+VxcslQ4kgmD+q8X1EBLVsJJBdt8Swdf8uLFWGM6HlrEzF1cTgaIwp14Q +TiKda7XSMgxJsBzC95ASQSKhWzvtDnMmwSjzIYtLUSTaQZ/EKSucBEK9lwvy +o0kUyMt5VP1YEgjArCYlBut/ePCk4/kkuLKhYKEZRyIUTif/5FoSlO/MohbE +k4jzU9sFwjgJ1DpuEmQCiRhlj4tfd04C4d4mq6tJJJq8Mfy3OTgJWviEdR4n +Y/2MvNUCKUkwSe37b0sqXq8nprirOAlEGPg97qSRyEnArsamJgm0ZW7UVaXj +fOnk3SHYngQ9bZ12bJkkUv38pWHqUxLk6vdnmGWRaFGI+1v1fBKwrdSdasnG +/fXVg6QsMgn8Wz5p8ueSqEgrYC6RJRm4HbyG3fNIJOKovZbFmwxVy8TQYD7u +R10jgzVHkuFNYuEluQISLYfczP+GkuEupftkbCGJ8gIO2h3UTgZO/p7Mn0Uk +8u19c9vJIBmSbxDO6iUkUqGZdR92SAauG3nvSktxvz1lMnspKBkWBPbHMz0m +UeXqhZcDyckQy13fZ1KG+83eahbbkmRI3RiJevsfifokWCk8L5Mh8Xt346En +JHr/rjNppCMZVC79sgx9iuMtUvKv/GsyGFCi478/w/spu1xO/JUMt/ZvlVV/ +jvVDUSknkjYFfM88Uf+vkkSi1ae3pXKkgITG2BjbC1y/+98WvxBOgd1hvxbt +q3F9ydokzcmnwIe0E26DNbgezi4tSKqlgFEwh8+plzhennLtwXdSQOnJJ5qc +VyQqdNc6/8c6BRq/TG9uqcf9MyLK08EvBZikY9zMXpPIcbt++NbEFFCQl7Pr +aiBRcoFl+JOiFGgZEp851oTzlxqSalGbAou3+4czm0lER33RrfAhBb45hl6k +b8H34ZS6LDCWAtHHC05YtmL/8ey69N7lFJDlCizqb8P+qqk1VoQhFZgXAxMU +35HIfPF8lCp3KrzaQk9T3E6i0QN9Sj7iqeBM0Vtg7yBR3VLGx/dnUkFv/I+u +xwest720muJXUsFGTFBlppNEgl/TRnONU8G26nyldhfud6sS2eJuqaDR2viw +vhvfz7TmUUdkKihvXd4t1kuiU5LWQn65qXA86SRTSh+JeG5UHdCoTAWdn3+9 +6Aewf8sX65R4lwrzZJSz/SCO1/dcxQMjqTDFdXd5fAjrl6FgotRSKjRuefv7 +8iesx7cWfmnTp4HSgqRTw2esx+FutuHcafDZYcVTaoREM9auxz5JpAF3rte2 +3K8kevGzW+/M2TT4b0Fi/84xEkHsQ5aX19LADz2o8B/HenhZ7Z6GeRqsLER1 +rUzg+iV0XVa90+BNI5ODyRT2DxZZTlUJaZD6RyHr8zTWn2MCHpElafBOIkpT +c4ZEl1WFS93r0+BpqEFI8yzupxckBH1708AxTUhV/jvu92tL9FmzaXD8/tG4 +snkSZTZaOPesp0HZ9X8GQgtYP016U3h3pcNNwx/1qT9x/gamRvgdSofXP/Tz +2X5hv9Nv47hxOh0i371jD1kiETGj6hR3JR24LkRu+/ebRCZlV58pmqaDsRRn +lMsf7HfH/6nTeadDQWNnxtIKieiLNkzHEtIh85nAcfM1rAdnz0gMlKYD31G3 +O9N/cf8yXamdakgHUaoS2z0qiUqaEo9vH0yHZuF5zc8Efs+iwTb1Bcx3v+y/ +vk6i6/WVMYV0GdDSGODcu0GiPTZWL7j3ZsDHX1r3Lv8j0QXPluSwAxlA8/9/ +6+j/APVIBFI= + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22265}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.71490723455093*^9, 3.714992966088601*^9, + 3.714993481659814*^9, 3.715381878269917*^9, 3.7153819368685207`*^9, + 3.7154108901526613`*^9, 3.715468696394858*^9, 3.715473011570572*^9, + 3.715712805791333*^9, 3.7157210463938313`*^9, + 3.715766831653219*^9},ExpressionUUID->"300e85a9-cc41-42d8-ac9e-\ +eb9ef1c3c482"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{"yy1", "/.", + RowBox[{"Evaluate", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", + RowBox[{"xc", "/.", "sol3"}], "]"}]}], "}"}], ",", "sol3"}], "]"}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.714907240520297*^9, 3.714907240607555*^9}, { + 3.714993486410479*^9, 3.714993486532962*^9}, {3.7157204147002897`*^9, + 3.7157204193538*^9}, 3.7157210413873043`*^9, {3.715768239183539*^9, + 3.715768253281002*^9}, {3.715768473401181*^9, + 3.715768489084744*^9}},ExpressionUUID->"03dc4111-b9dd-47fc-9035-\ +d84fc2a5c657"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.025536974521906158`", ",", + RowBox[{"-", "0.01762155820795152`"}], ",", "0.017961054818819003`", ",", + RowBox[{"-", "0.022204397984268445`"}], ",", "0.03053198670482979`", ",", + RowBox[{"-", "0.04488512756590042`"}], ",", "0.06918378030462455`", ",", + RowBox[{"-", "0.1106612683621298`"}], ",", "0.18268881356928987`", ",", + RowBox[{"-", "0.3104872952387308`"}], ",", "0.5429156021024089`", ",", + RowBox[{"-", "0.9775940097875103`"}], ",", "1.8164196311436311`", ",", + RowBox[{"-", "3.4930594684758445`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907241156765*^9, 3.714992970455934*^9, 3.7149934888284607`*^9, + 3.71538188344741*^9, 3.715381942591764*^9, 3.7154108949855328`*^9, + 3.715468700314848*^9, 3.715712811930298*^9, 3.715720420951545*^9, + 3.715721048024166*^9, 3.715766841838422*^9, 3.7157682367756042`*^9, + 3.715768338448666*^9},ExpressionUUID->"bd318a9f-5777-4925-baff-\ +c141194576ff"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", + "#", "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}], + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}]}]}], "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], "yy2"}]}], "]"}], + "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"1", ";;"}], "]"}], "]"}], "]"}]}], "}"}], "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.715410976773264*^9, + 3.715410977525257*^9}, {3.715468725789383*^9, 3.715468731252613*^9}, { + 3.715468766421323*^9, 3.715469006848844*^9}, {3.715768260999069*^9, + 3.7157682611760063`*^9}, {3.715768364740471*^9, 3.715768364907175*^9}, { + 3.715768395124449*^9, + 3.7157684226262007`*^9}},ExpressionUUID->"c32f25a4-7a80-4c63-8b1a-\ +2597dcbbcf5f"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -6.438427652944157}, {4., -7.822933048993086}, { + 5., -8.801973336933848}, {6., -9.49333155242283}, { + 7., -9.961546216597604}, {8., -10.247439323978423`}, { + 9., -10.379181751531982`}, {10., -10.37739278646102}, { + 11., -10.257820785733673`}, {12., -10.032888269348499`}, { + 13., -9.712645573159001}, {14., -9.305391499979875}, { + 15., -8.81809471912721}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076334229}, { + 3., -5.8303916975627565`}, {4., -6.504456136060636}, { + 5., -6.803197175879094}, {6., -6.890177782158517}, { + 7., -6.841318392000061}, {8., -6.696340523228473}, { + 9., -6.477947498799862}, {10., -6.1997807162140885`}, { + 11., -5.870092661343684}, {12., -5.493603322623905}, { + 13., -5.072516825300884}, {14., -4.607139359172976}, { + 15., -4.096329539994513}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -5.830391697563509}, {4., -6.504456136060981}, { + 5., -6.753788170290081}, {6., -6.7159247424693485`}, { + 7., -6.460354678470231}, { + 8., -6.028874663405286}}]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -11.147085415267883`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 15.}, {-10.966959864515015`, 0.20082428216259543`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-11.512925464970229`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.819778284410283`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.41431317630212, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.126631103850338`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.70805020110221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{ + 3.715468973603348*^9, 3.715469007107333*^9, 3.715712813764515*^9, + 3.715720425574378*^9, 3.7157210480853786`*^9, 3.715766841900373*^9, { + 3.71576833876939*^9, 3.715768365847624*^9}, {3.7157683959956913`*^9, + 3.7157684233676023`*^9}},ExpressionUUID->"aa0a0656-d176-4425-b3ad-\ +99ccbefea91d"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol4", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "4"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "4"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"xc", ",", + RowBox[{"xc", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "/.", "sol3"}]}], "}"}]}], "}"}], + "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "11", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "500"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "6", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "3", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->CompressedData[" +1:eJwdyksowwEAx/F5TF7tshBK2Q4cllAkzeHfkFdozXawIk1E4eDvNSNNikSU +5+ZAOGCmtsn+1hJajHGbi2desSmzLaw8/r//4dvn8k2uaxXXB7NYLB4d/CLM +b906F3GwcO+DNnFxaA9tdqYoHMZv2KPhtGGUC5cEPzMwjJRooe/ObYCLHUMm +KHVGCJW0+dljjBPxT5WwK04rhinfn8JeWutyVQkscLJl8ItXKIe9JjUJS0tr +x6Fl9uwEbqWpLpgvw3MJnaT0CuaYq+9gWbj3AT74Tz1QpEv3QrnPHqKiFXbu +s+FLIl8Gi/iKGjgZeFTAgfSWNmiRUV1QU+8chIRmkYJj3DwLtPqzlH2wRaqC +5avsQdifecvYUasehvLguhFoLFxrOqa9dqS2w8sGwRAMWlGPw0CcRAebbdtG +uGYqomD50d8ujCRjbJDiNB7BihfP3NSmi0hy7a3C12fHOqSeY3cgR8+5MdBK +DrceYft7lBua57mMPC/5Ac95eh/8fftkGWlv5gKMuTMKt0DvIhJSrIz/btM1 +5A== + "],ExpressionUUID->"1424ff20-6033-4ed3-b705-d151fae88968"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "0.00600548020796845`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "0.9469232274724663`"}], ",", + RowBox[{"h0", "\[Rule]", "1.331340276775596`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "0.3096640811285071`"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", "226.14032663825023`"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "2.2063898700667415`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "541.5712144484125`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", "435.14454527097615`"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", + RowBox[{"-", "117.39885600643645`"}]}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.31947096454993557`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "1.2874512994228928`"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.7148375429850807`*^9, {3.714837730361244*^9, 3.714837764393299*^9}, + 3.7148379863742723`*^9, 3.714838712807025*^9, {3.714839508191394*^9, + 3.714839531066626*^9}, 3.7148395921397467`*^9, 3.714839635400715*^9, + 3.71484003503824*^9, 3.714840757905115*^9, {3.71499322123387*^9, + 3.714993277424842*^9}, {3.714993577408506*^9, 3.7149936705992517`*^9}, { + 3.71499371240888*^9, 3.714993774172338*^9}, {3.715411240818523*^9, + 3.715411400770768*^9}, {3.715411512652997*^9, 3.7154115279887037`*^9}, { + 3.7154731723140917`*^9, 3.715473258451995*^9}, {3.715473293191079*^9, + 3.715473416771755*^9}, {3.7157128219639606`*^9, 3.715712826376553*^9}, { + 3.715719351681602*^9, 3.715719370700658*^9}, {3.7157210693977003`*^9, + 3.715721165581854*^9}, {3.715766542885664*^9, 3.715766635146851*^9}, { + 3.715766672913213*^9, 3.715766696667081*^9}, {3.7157668511020947`*^9, + 3.715766858896706*^9}, {3.715768446348152*^9, + 3.7157684614514627`*^9}},ExpressionUUID->"5d983926-e91b-411d-bba1-\ +b4469834e1ab"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + "[", "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol4"}]}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714808243331522*^9, 3.714808245322274*^9}, {3.714837252376389*^9, + 3.7148372526476994`*^9}, {3.714993287664439*^9, 3.714993292931672*^9}, { + 3.715473423528088*^9, 3.7154734267434*^9}, {3.715473561345592*^9, + 3.715473569770239*^9}, {3.715721135508519*^9, + 3.71572114118258*^9}},ExpressionUUID->"1e22c783-e918-412d-aaf2-\ +2c5ac92c2176"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwtl3k0Vd/7x40Z8jHEPZWoZMhMplB6dgMyZiyUlClTUiIyRRlSicpQpCgZ +K0qmKPM8z5ky3Hsuwr23kDT4ne9av7+e9VpnnX32fu/n/T57izlesnBhYWJi +CmRmYvpfHSCZBjdfsjnU//9VL+7qwSAPDfgU8V7qfzUvceaMoYceLKlQ2P9X +z2zfsbjP4yToijskKBNVfVTjg6SHKzxnmzbYTVSxymOPd3n4g9V1cUluoiYX +GN0R8YiCEM/Hxq3uUdArcYJth0cSWPm95tvsngQ+P7r8vU9nAxuuvoQRNTn7 +t9uwbREsJXa8T3cugt3yzl4hcyWg3XteQ1SyFGa12mPbGZUw/jyDNaClCqKm +tRSjDGoAb8+yVztdC2+VBVkqrGtgz8v+d+aetTAcujCweL4GKr/aC1wPqgWZ +Hc9CrK/XwP5/OkcWUmuh3ZKtQyK/Bi4ovJmwGa8FwYZOzzqeWghZWStwdayD +59lOuUzdtfDrvdbEql89lHvdkwg6WQ/BW7McDJobId55C5O/Yz0UP9sQuD3a +CK5nkkd9vOuhtHza8ctSI2wxznjgGlUPzBVXDQpITeAh94HJoqQenkUX8e50 +bgLh+bExaawBTnjcJx9na4bgC/KJgwMNwD366kiQRQtYOBT59Ew1ANeSlQ6r +WwtIn9Iwbl9sgLW0b3rPQlqgXw+x1rI3Ap87/7pgbgsoSFldfq3eCJ/chDf/ +YGqFCXKQya3ERlC79/piRnErIMc2dhXrJqhyu/H+vnw7CHwpqT17rgk6OxQf +KB9th+kTmWF3PJvA6TCHBG7bDjd1An+Rw5tg5J944/3odmjctncx+U0TyJo4 +tXydaQeTroj+vxzNkH2odPft5x1gd1D7RUtFM3B3NeqXyHaB3HvJc6sNzXAD +3bbfdawL/sgIiIr3NANdp9DluX0XpG+dTQqmNoNculLZfHwXTH1PjFUSagHF +jjDrF2td4JbLuJx4sQUybKY5z7p2gx+Wi87vboWSizcdJI/1gM3dVvMw+Vbo +rUhbzLHsgYMsC45PNVuhs9v30UGnHmBZUoz8YtYKnmFffB9F9EB8Q3GLeXgr +aB63vMRZ2wN5V6stjkwT4x123yFwrBcme4ecxV+2gdXE+2gJ6z6oO/7L73Bh +Gzier9PpdO2DV5+Eox0q2yC0+aJlbEAfXMyzz03tb4PDUw1UrbQ+WA+fWRRk +b4fjM6OVAeQ+IO2j+bO5tkOxlYJ7ZEA/GN7fdJuytwO4kxexs28HQPpWXJC6 +agcUZKR7itUOwKZAzDvyUAdsVVDqXO0fgFpHKUtJ6w54/K54fWh9ALQ19ERd +Ijrg+9WdmX76gyA3HllEHuuAXdNSJXLkQeCRYx+ZSegEXdJiIk1uGDobWeWm +f3eBEO/iHZ21ESh4l/ogmLUbVnVqm6P4RuF7+Ac+Tq5uEO/vEaZIjULo7jmu +XULdIMnPrjVlPQqP7M3+Gct2Q6i+/Opw8SjUDu2k5pzshmzjon19/mMg2v6x +7NzbbuDVdNCy2TwBfcUrp7vP9cCrknQ1cuUkZN6UvdnvSuj84cL55+2T4GPh +kDfs1QMlcXpbPMcmgZfevDYZ0APa9GRx+T+TYCiXlsiI74ERSe7f9genoDbj +SNeWmh7wSkyVjPk8BUVx949Yi/VCmssHikrPNNx3k5EZmeqFue0DNaXiFBjz +Fzh8jdoLJZ9HD3NoUEA68peN0GIvvMrdUHU5ToHqjJYY07Ve4DEOjTa+SIHv +I+6ztbx9YHveI6WllAJWJnnZ+Qf6gMV7uSLiBA7bVOSkQhL7IIp/uUE4lgqZ +v+XFdxv0w9U13ZCdCvMQwKVMUT/RDzEVnVxCuvNgslU128i6H9pfc6iK2M/D +moqW3LXz/cAptOmq8715MPXQVe0M7Ied3x7aDizNw+9h+6PBef3QJqPwVefD +N7AqiXMa3jwAJeq7DpibLcKmy/QX8Z0DIPVi1NvkHB2ERGSEp42HYGzvbv6z +assQ+Gpf1aWiYag87Se+arEGioLr+F61ETDbz1R77vxf0HZ4oCPydBTGT7to +TZsyo6R788IHJMbhgLXyGsWJDaUxShe1X06AmBgrzS2NAwU/yfM/wD4Julwb +7jIV3MhC4Uu5d9MkBHeq5tAkeFH/20uC1cFTcCxofL/IS34k11FNDVechsIN +JZfBHVtQ3ujlDRvaNLSgpTTHBEGUCbL90t+nocn04KawJEGU+mI6Z215GjrP +ub1OSRVEdz0tLVLWpyH9/VxOXZYguvRbLWuIfQb0f8X//VkuiNR2rBmeFJmB +mJe9rkNTguizXWiSpcEMDPqqPz2tJIT6v8QqmL6YAdO2b3md1UIoocrslN2r +GWB2fMQf1iCETDOwcNfcGWB3plnKtQqhFrfM/tC3MzDFXud8rU8IffpZHvT2 +4wzYfLPVG6cIoRzSXAt//wxwsRe3jHGRUIi5vmsfGxl2bQsXTzAlIW31/+K/ +cpDhVPle4RILElrb1lf+jZsMTGLxgYMnSejK5Nn/2ATIcEL4mjOXAwm5XfIv +VhMlw3mFiuj9l0jI4l4WS5I6GTwoe34UxZGQVAvrMxtXMpSmWepwtJKQaXJx +7El3MsQcHeGJ6CChay4u/lZeZLiRsMy+1k1CzcxNJmZXyLD1+yW3gSES8tSO +/aMfSoYg5vZkawoJFebz2+1PIsP1y/EMtw0SGg6s0VV/TIYjicpzj1gwxHz8 +yj7VNDKMKSV8+ciOIQtyH6dSJhmG11+nrG/G0IpIcqnUGzLYl8brHNiGIe04 +URLWSLwfnfOwUQlDjmc6mYRayKDJeaL0uQqG7siGLQi0E+tbVMvyU8fQWONk +3X+9ZHBi9evnO4ChsI0XV9gnyGDqb6bCroeheh/Z7uUVMhgJmNxg2GHIxHL/ +nT5JCqQdHEupuoEhtZrDtKfSFAi0pdk3RmBIRMnY0k2OAozQYrPWWxia5z6/ +468yBbrPHi+ti8FQTG1svtRBCuhnVJoFx2Oodt9EW6AF4eOFsL8szzCU+2xW +6Zg1BTqOLxVWPcdQ/H8/HvLaUKBHkXLFNxNDDnMcZ17YU6D5ww/h7iwM/Xm+ +b6HdjQI5R9uaTAowpMEfybM7jAL/zfL+synDkGjofZ/5cAqkJw9/qivHENvC +4/7iWxTYe+DcZZmPGOprepNmEEsBukjHS0oVhnzChuV9EykgwpFFEqvDkM3i +dLxOCgWS7/erOdVjCE4vLnOkUsAjzEjzeQOGePezVKU9p4AP4xaFuxlD+Uty +Jo35FDD6uZCf2Y6hB2c0iuLfUOBhIk/1xw4MXW9FpNNFFLjOk5nf1Ymh46+s +x2klxHyzf7LMdmMItw+7uL2WAuwPHaNH+jHU0Xa7Z6aeGO+WqnzrAIaKtR6p +v2miwBZOi7TiQQzdJOX+PdJBgdTupOHAYQzt7ui95zVMgVznopSGUQy1V8zr ++Y5SYKWYlZo6hqGAHBam6xMU+GLqwuk1jqHumypXoskU+GlhUPVrAkPBlw3l +4qgUiBw1NSn9iiFpB0fyo3kK2NPdc70nMXRD+8HJTDoFivIEPrdOYUheOo8v +9wcx/9vI79I0hoZJtc1vVykQ69lC/28GQ8oMhnbVHwrIzNjs0yQT/TbBtVy3 +QYFSebEfdQTHtIu9bmXBgXuu0deAgqGv2ea7hjlxeDJqm38Yx1BsovvwxGYc +rmdIOxQTrHEzPIHCi4PTRnLbbiqGpn0eGy4I4ODcsocWRXDc2SLWH0I4lI3r +N+MEaxu3VP7aikPt3lhrNEvoqzXlx7QDh6FMn8SHBD/Y+0uRYycOFvZRUZME +HyIJzP4nhsPpILu9e+eI/mWRyRCSwKFK64b/BYKT6Mhux14cmBlxVzIIPjJh +I7hHFge2bXuEBwheavNpl1Yg/kP6XzxZ5jH0pDwmUkkZh/vaNq4yBOtlPz+k +oYpD/4AepyHB3x+V/TyogYORlLmZM8HpEd2FR7Vw+OyyVyeAYEOfWXfDgzhk +/g3piCR41Z5J3BxwSL79H9M9gjONto2dOoKD2ciDvv+xqZZy4lldHAzXOvVi +CF6XOm7qchyHPKlom2CCXwmd4/AywmGDcovDg2ALloDqK6Y4NKwmWpgT/Jd2 +PzDQHCfOxXc1VQjOGc9WuWGFw4zDoTIegq3aPn+LOoVDyIOo7klivUzlQy/v +2RH6dx+98Ybgglc0+0f2OAQdtW30I9jmEcfW1HM4CLm+ydAgmC1iV3eGEw52 +7EoCDELvwkv7b+e44oCOtQlmEXzG/sSRt+6EfunXciwI5jS68PuDFw6kOfnO +X8R+FmuGFVdewkHEdvbmE4J5hN5KtfrhwHQ6OLWZ6I8y5qav3QE4/AKX39YE +O9MmUoaCCD1WrlLHiP6qbOXdTAnH4c+a7bkhov/cyqTqv93CoW/J8ZshwUKv +DoV8j8ahh3P9XynRv17h3rSNezjwzXtUhhL9vUOzs0/4CbHexqDAT4Q/ohqA +fSkNB+/BNKXNBNMtijRqnuHw/uk7HQvCT40XHz2+kEXsT4GHQxfhP58Xdg7F +hUQ/lD/IjfyCoRHl9vjo9zhwuDXxZRH+1f2kU2tXggN/THbLpyEMCX/ZLclc +icP5lGiNKcL/9bzUeZMmYv+qbGenejCkmGYjItZK6Gvh/LWPyI/HMq0my+04 +tBcUSlV3Ycj72OvCJ704TK6mvYwm8mf7dV9/6jgOcp3eVr1EXnlTNpjDlwl/ +veHWPfmJ8O+Vy6pWP3G4sXJYZLESQ0eZZpz3ruMQr/0QQom83LajsaljA4dl +2TX3+0S+1pndvSe8mQrBK42GF98Rzyu3bS8Wo0LfHTvlrUQ+RxjEGkZLUCHA +1bPa4gWGFgd/E86iwmq6QFpMBpH/jIkJJgUqVHmFasw8xdDFvVkvTTSpEGls +/NsyiXj+YJ8y1ZQK/G6pC+JRGErhjhMvMKfC+hh9Mx/xf/GOmMcuW1Ehimnm +3XI4odeVF3/XbYn5XBxJeRuCoSvmpDZeFyq4WkR1zlzFkBj/LxeNICr4reH7 +9RwJP0Vb2/4OoULN3qC/XxyIvNwoMq6+QQWBJC1zN3siL2keqoZRVOAsssq6 +akPkZecY09kEKiyjHD5jUyIP71WnRmZTYd9Mlt+qJoZOsoveN8yjgm3MqrOq +BpGPIYERfK+pUFQbt+ChSujrpeL++B0VyiRTm1oUiHw0fqnxuooKOWZb6vT2 +EPnHHdPT30cFm+Ke2EPcRB7FnOCQYJqFkjHJn3KDxPkgrPyEJOssPPx4+/WV +XhLyvSaeIrVpFvbkusq97yShHNef0jI8s5B46NNNsSYS2qL7zFBx2yzIqDn1 +vS8lISoz7Z6m8iyM5e9zKkwmofigOCGTc7NwrHRjhWRJQrK+a2dMnWbBKEf3 +TwpxfmrwcMw64ToLB9+ZsWOGJLRuq6Fh4TULNXZ+0v8QCTlrTpw6FTALUpfM +GVGKJKS1opB6Pn4W/vJ2xgdzktC0d4eYf/Us6Lr7KnCVCaEDmxKmj9bNQt6h +uH7Z90Lo0VOrFwKNxHhL4rH6b4SQfvuoxOu2WcCTqDJXXgqhApn5veTBWWBj +/xh8N14I+ZM3KVoszsKQsP3NoQtCiNsOaSsKz0HHzU2Bw1uE0D7d9xa47xxE +15U5iZ4WRKZnbrnR/eegYFhVLdFKEHn5WoeuB87BvRE5Nk5TQZST8TOX98Yc +sI0svZtAgmj3vwPM++/OwZUaq89mUoKIt7T+bfTLOSgy+AtG9C1oQXqQR2Zg +DhSYqAfKbmxBOTy/Gj015sG1fPcf30cCqK3ulTnfwjwcMJehcbnxoToS3ynx +9G8gsL3c6MfVzWjGZuiZscMCFP7gtojezIHe3OHYeCi4CLKi84+OrbOgjLfJ +GfTBRagZd4yLSP8L7t7Tn6qSlkCLNW7/O1iFPVpFnrcfL0GMCquMoNQqjLHe +2GadtgQnUsLZb/Ksgtlj0SsLGUsgNiafe//LCmjW20jueL0ErocCy+2vrsAm +4a47AXVLsPXO0eyBgmV40fDRRpW+BC1nc877yfyAcZHE7zkGNDDfdadC3pIO +Zy5cXi40psGfy2Z4+QE6jBSZrJadoAGgH/12EnQY1Nu03mxNg21KLnsKv9Gg +2+ca89x5GjQrfVULV6VBfb0tv8x1GsTtP304rXURCrx2Kubm0WBocm7PPPYN +ZEvXlYpe02B1+tkd9sV5yGUe2ldeSIPM+CVrg7p5eJV0X72lhAYL+YlbDX3m +4Xk1k85cLQ1urUYFKLfPwUOhGSOZURoUuN/jTLgzCzoTfcX97HT4N+nT+0ga +hzN9S4xDHHTIChDdI7+JyLlmLqVcTjrcfizniM9QoOwd5IZspoNH91Jq3TMK +qETnP5USoIP3QzPd3dspIKV8MypAhA4bscb7zmwhA1+Eio2IKh3CRRV4M3ZO +g+I1k8QoNTqEHP85G8U0DcZebr10dTpsNWGNi5uegtiT6cYNmnRgl61nZc2e +AjY57sPeh+iQV+UpH7ZvCtb6pmSqDehgrG+mWWY8CVOSCb+diHujhVPhtfD9 +46ARn7G96TwdHNt8/e+wjUPsetF+WSc6yHvKp/T2jIFKV68v3YUObTWixVsv +jkFEgNBCsCcduFyljge+GgWJtuSxRH86KF0XTwqQGAE3n/Sqprt0UPxsZGVM +3EsrR96MysbR4WNnVtib3UPAr/v51737dFh1ask/vjII5dsn1a0e0GFxudVE +4tkgcNeJvZlMpsPOsi9pvisDUEDKSv+VSQfWhLHs4wX9QKvID5Mrp8PNy7Gn +Lx/uBSnKkeaCCjqklpJPWm7vhTN8I/yKlXR4q/1+4hKjB1qdODOVP9NBVvVt ++KnMHnjJ41Kv3kCHc8fu3v6yqQdszu7kQj10YLh95hkq7oJq5oQHVnN0SKv1 +ncixbINVOenRgXk62Ne/LP3H3wYKJz+Ln1og5p9b2F3a2QpP8haLbWl0SPw4 +4m9u1ApXLQ2Hzq7QQZWzPHSLQQtIZ7GKuDMzwJFf/rPhySZIOO6fFbKdAW3z +nzsT3tfBqyPashRhBnD1bf5KDquDyoP/3hiLMOBYHuetUOM6mFWOKtuxiwEC +z7M/38RrAW1PaiuXYAAlwPl6i2gt0OY+MFaUGPAgLkL9a0o1mNxZ0fHWY4DW +klycd/BHcIwsrx3QZ0ADt04tj+RHCAgL0dcxYIDgqWgN0c4KeOnLbs5jzID4 +c0dGEsQq4M9pknOeOQO+q+jpf+gog3x59Vj8DAN6fjReO6ZdAlydVwfP+jJg +TjMhZ9GhCEIDd8jRrzKg+tfUoUmeIliWqA0L92dAAPOucf2KQpgI4pN5GciA +mZDIB75YIbyTyQuaC2MA37QL6VTOazgT+XX31bsMOPjdt063JQcKDxp63s5i +gCLbn121p5+B5Cz9s3A2Azr3L2Gheunw5GGyUEEOA9Q8cPK0ylOInCdXdeYz +IHbg/I4c/lSwSwnjF3pHfL/yBkVxMgnYlos/pH9iwB6Wzi7m5/cg8NlpbuVq +BsQdDZkyz78DS4YsDjU1DDiy7v5ra8Vt+JJxgpNcT4wvlX5w23QkvDkxbyfT +xoBN8Jy0WBYM4r/j31a0M2B028QgG2cgpLzaz2bcyQCGj5Saw1k/uPn31mvv +HgZsxNxmkzjiBWs5cixMfQyQFi2V4t3hAsSp6GRCPwOiFHoEJtnPwMxGQP6e +QQa82qftk0U1Apv8XUzFQwy4EF9nqC/geej/AGDcck8= + "]]}, + Annotation[#, "Charting`Private`Tag$95394#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.1151619189712088`}, {0., 5.729056650007422}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237674457458*^9, 3.714238002214877*^9, + 3.714238548204287*^9, 3.7142395741313543`*^9, 3.714310570543141*^9, + 3.714310623124496*^9, 3.714311017345689*^9, 3.7148082455844183`*^9, + 3.7148087394536057`*^9, 3.714808790219943*^9, 3.714809137463914*^9, { + 3.714830783818783*^9, 3.71483083339424*^9}, 3.7148308849707937`*^9, { + 3.714833119603292*^9, 3.714833137091063*^9}, {3.714833216896283*^9, + 3.71483323718008*^9}, 3.71483517815341*^9, {3.7148353817008543`*^9, + 3.7148354101922207`*^9}, {3.7148354850314198`*^9, + 3.7148354991762247`*^9}, {3.71483605782858*^9, 3.714836072392943*^9}, + 3.714836335978918*^9, 3.71483652907364*^9, {3.714837246343439*^9, + 3.714837252902101*^9}, 3.714837310164729*^9, 3.714837545315074*^9, { + 3.714837730776862*^9, 3.714837765174131*^9}, 3.714837988177272*^9, + 3.714839534940205*^9, 3.714839592912971*^9, 3.714839636267261*^9, + 3.714840035800082*^9, 3.714840758409679*^9, {3.7149932799586763`*^9, + 3.7149932935863247`*^9}, {3.715473419683815*^9, 3.715473427243525*^9}, { + 3.715473561732173*^9, 3.715473570070854*^9}, 3.715712828292107*^9, + 3.71571938517594*^9, 3.7157211017098627`*^9, 3.7157211689901447`*^9, + 3.7157665495797653`*^9, 3.715766862542554*^9, + 3.715768464239983*^9},ExpressionUUID->"304f10da-578f-4a41-a048-\ +1e9da07bdaa2"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "-", ".1"}], "/.", "sol4"}], + ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "+", ".1"}], "/.", "sol4"}]}], + "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714238448421826*^9, 3.714238450287497*^9}, { + 3.714239460624751*^9, 3.714239461804504*^9}, 3.7143093152144613`*^9, + 3.714309354244766*^9, {3.714993302034452*^9, 3.7149933093567123`*^9}, { + 3.714993362593301*^9, 3.714993363190507*^9}, {3.715473432312274*^9, + 3.7154734517597313`*^9}, {3.7154735761163282`*^9, + 3.7154735855697203`*^9}, {3.715733533504537*^9, + 3.715733560434495*^9}},ExpressionUUID->"0b11131a-311e-44d4-9df6-\ +6d33baaffe0f"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJw1mnk4lN///2UPSZGUNUWiFBVRvESUsrRqoQWRkO2NUrZkScnSZlfN2Lfs +S5ZjJ/u+zTAh+8yYuUdo0/f+XNfv98/M9bjOfT/POa/zOs/zOtd177JyvmjD +zsbGtoD//O8/eSDwtbErC61X2zBzncegP43wF5xYKPeHB3/NpTHgfFxjp+rA +QumqfKdeHhsDa6k/2tttWOhAe3WxBecYvGbsyNxoxUJ7Snfdvr9Ihro69W1/ +brEQSamHW6uPDLL3/lv8do2FSriYWQYpZLioEWXWd4WFGrbxuzyLIMNT/s+1 +jRdZqPlaYPXbx2T49nkhOtOIhZ4NB87pXiKDUAAvR6IhCx3xHWyf0SGDzmV5 +pwgDFpp9s/fcg4Nk+LBmecpdB9eLc799aDMZOlv9Pttq4VzYIOPORob1hMSd +1zVZ6EPJQFc6RgJl54qgc+osxBXLy947TYJbJ0cYWkdY6PuqvyFrhAThwqvm +h1RYSNZx72GhLhJUTYs0yyqzUP9Hn1P7G0lALVVV3abEQje/6fw8W0kCiRfn +E3kUWGgmdqjGuYgERhZOvL/2sBC7UvDvxBwSeCuH/UfdxULRHPdWh9NIkM2W +OT4uxUIabLK03UQSkHqbDXvEWUgv4dafpx9IwJcyXVQvxkKrltS9Kwkk0HzI +IVOyDY9/dcKFZ/EksDfc9TJ9Kwvxy309uh/nOHFYidvMQqly/rYsnFtpFpav +BFjozdwlA1IiCX6ix+1+G1loh0oD+8xHEii8jlF342YhkRGt8G0pJLh2t4Rw +l4OFtP7LiHXIJMFztf5NV9lY6MKrgFfzeSQo48UeGf7FUF2PS0BkGQnmRjd/ +P/4LQ2+lLTQsa0mwPeeAqfIqhj75L2+1aCOBgd+5LzLLGArpSOV+OkgCzwv3 +5YSZGKovXYnpmiRB6u6QSC46hqyW1HoMGCQY/JH8e3UBQ8byMcrT6yTgbqmz +XZjFUH9fSEK6IBmOxn3rIX/HUPbAVdtwaTK81ZZIrx3HkIyhYFvBKTI0CGkK +F5EwtJXhbDV3jQzLk1d9U4cxZFb09pCyExkuhby5/LIXQ1rGZ3s748mwtZtv +w5UmDLmEmvPYsY+BLkHB8XQ9hgr1w9cUpMbA1d1gSKMGQ0sq20xTNMegWywg +R+oLhnbf+bAlzGMMIix/Xp/LwVCcYLXOAGMMHl3k5YnNxFBj8+mGqa3jcEdv +e5FhGoaiVAMqWEfGQVXuqGDWR7w/qckHzo/GQVz0VIV5IoZaaLsyfWPHgZPn +kp1AHIa02U4oDZaPw+CcS92DNxjadFFZyG91HNCIn7NUJIbE2/T3XBOhQHpr +uERXGIbON7tNPT9IgciKxK9+oRjaY6fv2H6GAl7Z2Z6HgjE0WiAfMXqbAlaJ +FbsnAjB07FUJm507Bc6Gt3ZH+WGIQLj2QT6YAof9Rnx0vTEU+Xags/EtBSRc +5hRZjzBE9VOiYR8owGW5OkT0wJB3Xf/U9TQK0C9wB112w9ljbjglkwJDuttU +uZwxxLbflyMggwI1h/dQih0wZKqakhpHpEDGnsNhtnYYcmr4fTQphgKvt+lq +bLfBkDvXw1Tt5xR4zH1hptkSj+eCAk3VjQLWq7ffPLqFoRMnCrOPmVHAaM5J +Z585hs6qhgqJHqHAkREf2shVDBkobeqL56eAZGtY3IvLGHrROW2XRh4H7or4 +08cvYOjQFr8zcmnjsJSVubxojCFGmo+OsMM4DCeUf0o4iyG3T9TWAIVxqH3V +YmJ8Gu8vU1Y/njIGmb5Dv//qYUhn53dafOQYvHGeSc/VwRB9s2Xg2PEx8L7z +48ptLQyN7+g075sgg4mucF6NGoYevg0QOChDBiaX6d1n+zB0K15Rb5f3KIyu +3NxyRB5DEruVTwdtGYW6Wcfq77IYsi8aP7wnfQTefn0hZiCBocdOOQU25GHw ++RLbuCKGIQWfj9bWT4bBNivdLW0bhvLSbGZ0pIbh2Kumdt7NGEodTVO+6TIE +u3wHvMr5MfT3l6JbkPQQ8Dl/l7fnxecbMmzj1DsI5PPsT9s2YIi9nMuPR3cQ +/ES0j4YvM1G68tYCA+0BsOMyntRmMlFI0IH10Q0DcH7FPGKJxkQ6/7Lk55r6 +QXbYa/78LBOd+SPD+nW5H5riixOFR5log1dcV4ZvHwT63XD9M8hEF2wY5EmT +PtCz/ndquo+JWhbsPSjSfVCjaEgt6WCix5/5J//V98KXcrLmjVommnigkSMg +0gufhziGP6YzUe0Tz3t3O7vBqSI9KzSFibiqpgK607ph/wdjPzcCE9U0sZ/K +fNoNmbbR8qcSmOiT4Qv1eLVuSP6h6DEbwUSNcg8Nrpztghjhi1uVHzLRJeMo +Zx35DjBbXZkWdWciy52Nrh+/t8M2Unz5PxcmOqI05hlHbIfXhOk7PfZMpEDr +mriwux3CVLw+u99iIu9FZdvQfW3w1PSjUYU+E8nsLjPRMv0K9i/pwWdEmCgy +sElo73IjnBVPpOhsYaKgH48l+OobQTHr3DENQSZKM3fQMn3dCAut6fP7eJmo +04BP649KIzjwWRvx/2EgsQc3R756NIBj6NCWzikG2qTX1fBcsB6MdgTbN31j +oKogVwvlqTrYn3GkvnqMgcyl6g4qltUBtSXK/fMQA12zfSola10HjrxGQ5Ft +DNTcx0thr6qFByE1CZcKGSjyUMGpzf41YLLd+ce5PAbKNSsSGrxeA8ppkian +chhohu/254XDNUBvevzvSBoD6VvMaKz2IHDiPmolGs9AouMB5ndyqsEpKGPv +SAADKdizcwv7V4LLs9cFty4yUDJlQ9dCRBlsVFU13mbKQN5W1zufni8Dwree +2bZzDLTDp1OueEsZDGhtkdTQZ6Afqyob6O9KQXMtIkT4GANxdt6eeZtSAlwP +Xlm0SOLjS1FQl50ogiTxA6u+O/H23qP3DmQVwbHW9qij2xno7k4p11aPIrDf +K9BMEGKgIWymoFSgCLomXqj4cDBQ9dpCmsnJQjicI7Tpbu8Syk0lURgN+WDL +d163p20JMVL1Awei8yHmXsRD7cYlFJv3ap+eQz6s7xKcFCtbQn6x3xxLhfOh +5T1/aUfiEirqnOz8YZ8HFv7clur3l1AwIUX7y91cCB/Tf59stYTe3M5LPiCe +C7WaQW1bLJYQOjKRTuzNAfkfHGpUkyX0/fhH7M2pHGDe38D/6cgSIgUdKXY8 +kg3Bl/4U8bEtIVer/Spaeplw9/099bmfdGRm2u+svykTdEd6yxtZdPTpngnv +7uEMWL+VUe0/S0feazxEc5cM8LQ3a1nppKNTH1OP5WWmw+Wc2rP9LXS0EHNu +7fyTdFBl7O/Ir6Mj2vnYiVqjdKB7cPQ6ltDRAcHbGVuwNLB9mkeaTKQjh+i+ +Z1cN0uBUg/itmmg6KmqT3mAnmQayPCHfEqPoyFlqJVvvRyqMh92cvhZER458 +ortupKWCWQzfUqcjHRm19sZgIqlwhOThmm1LR+dVaIRzWApslZpghd6ho92/ +nDc7dKdAJ7F07dRlOhp6a1/yKzwFDD7fZa84TkcSa9/pRttSYA/WFRhzlI5q +Fi9+aVlLBvajx3k8D9IRPPumzz2WDNVftgio7Kaj/o60qw1pyZDw1ztcUJKO +vE48rNQLT4bHOnNCVFE6Gp58lRTgkQxqTdXb0vjw+UtOJp4wSAaRjYoxgZx0 +lBWyJ6nkYDJg597ttFqnIbVjRRO0HcmQ2+MgLYnR0LuouPUoBhHkx8T2vRmh +IX+4BJ9SicApE5jl0kdDnSWi3CvviDBptXTApIOGRG9vLOYIJkLSXKPqxloa +Iv85mnbajgjeSirFM19oqPfXwxHvG0S44ZSg3lBEQzVmKz12xkQQXXY74ZdO +Q2ypVWtWR4mwrDZebUGgoeOOuTtcFInQ62V4UjOBhuqCFGZUZIiQV1lUv/09 +DVnT3w+niRIh/J+0wY8IGqpc7HHo2UQER92XLb2hNCTXJimey0WEs0ErZ/Oe +0VASYZ+V1joBFFosO1750JDdDsEq31UCcPN3mDo8pKE9R43SXZkEMHu506zR +hYaIAbeaMhcJkMZvZyFtT0NutaHKhTMEWHtZbOVlTUPuGNfxF5MEOCPAcb/P +goaueL41OEghQEzYeecDZjTkbO+b/YlMgDmBJI8QUxrauelNy7dRAn5eLT6Z +OENDQYryq4sjBAjdpBFwXJeG6BGC7+pwHn0V/PzdcRq6GpL8zxp/XlGwP3zp +CA39uVbztotEgMfhu94ZKtPQxv6yAs5xArQKOscT99KQFMWyjH2CADsjKj/9 +laGhU4L8XF+/E8BhM1/61Z00lAi+a2bzBKiMuJqbL0xDY9rrWBadAAJCKUX8 +m2io1Un/SvMyASwisS823DTE4xXon/6bADlCOrXoHxVlsVsOmnAQYT3yVfOO +n1SUabdcVs5PBJMtpI7/MCpS8m99MSeCr3+UQn/HIhWV3PyWOypFBPoWz9G9 +01TULEN8HrGPCBFbt8yShqhIYl2Apn2SCN9e36Id7aEiId4inWMmRDgknM2K +aKUi+7dcZKY5EbqFT7OdqqKiW5En/YleRJB5+5Y7qYSK3tX4XokLJYKryKTA +2mcqWh/ayG8aR4St23x2ZBOoiN6wo2ipighW71qluROoiNda9uFoNxEKt4nJ +33lHRYZPfcv9vxPhsmihqshzKnrg/fD2303J8G77/DnvB3j7rfuVqfeTYSZa +7eKgLRXNV1/huBmA7yexwGuH7lDRhHjXjtb4ZBgUk7b5fpGKzubZ323qTgax +nVd8jY5RUZf1hJG6XgrYxRECU1Wo6MZJ04U3lilQvpPxgk2JiggjZ6sJ/ilw +Q/xldJEkFSmkD9T316RAgkRtngQHFRnnjzs+NkwFaekDU9SORZTEOuZr8iQN +ClZfsWyaF5Gnqi2thZgGBt10DkrNIhL92P1spj0NHJ/m7ekpXETRFw9u3bgr +Hb5MHbYtjl1EAYJVamPd6WCWrjnvY7OIPEbngk1MMmHBP/7nyq1FtIepEV3l +nwk+1/9sdLm2iNYcpROaCzMhma9a0ercIqoNL/fLFM8CzPGko4HKInJM+Pch +EcuCcJUzS4J/FxCz5WX018ockOXL+BeysoC8fd6sZq3lQPHkRqENjAUkWOd6 +ddfRXCC/aTvEmlzA/dpqV/3nXFBcMXEballA9hHsRweyPkPjlys/PrxdQHbx +962sKXnwR8/696H9C0hzQ1S7rnwhHGdnXNspv4BMNqicvHC2EB7XeJdwyCyg +h8F0nlinQlg78d51UHgBPcvJbu0rLQTW0a+zT37PoyLLoAmGUREs7D3Y39Q6 +j34MTrp8eFoMw/y/sy3uzyNxB6pPgHAZFPa9vvU8dQ699Wn01uiqgrtdG3To +H+bQvufiXCac1SDa5rLrcuwcGlc2vBqjUQ2P6ky+S4fNoZIEj4cdydVwIp/P +vtR1Dl3+7O1X6IOgKTzAY+bEHGKl3xpJSqiBUUO3sFN9s6it0MB2yr4O2Gsu +fGFjm0WZHM/zbYyaQGk7n2WYxzQSuB9QZ3yjE8T8YsJGsSkUdWdihPK0D5L0 +SvIMTSeRUG20wHWvYVh365Bub/6Gcrqv6jw+Nga0v7OCFO1x5BzsdUJ9/wTY +qk/MZv4dRWq7F8bGEqbgtUGHWeLyEBrPJIu2NUwDQ3C4pCejHz306b20kzYL +G3IGsvdH96APXibdVV/m4ZaUmwwptAfJfomPEqybx/1D8G2odw/SXvEdvfF1 +HjzdTj+ZsexBN1bUf04PzcOCernhx/09qI1PRb5peR566xJmhOu60eQBI9ns +AwtwKr9ZZ2WkC7kEDMqtxy9ACO/3vW+C2lFAdMubE/aLYGJkr+7o0I5Wpqre +6Lgsgkgkw0D/QjtqarerAM9F+Lj9r82qRDsSaDN/fDBgEb7IiyabF7UhVVnf +gP7YRaCeOiOzZ6oVbTJIlj7csggXn2aLFet8RYdEZXjVdlFBrFFVIVz+K9p7 +vOdJvDwVxnnL1e8JfEW6O+zHfytRwSGy0WzHcAsKfJtzP0eNCoEfxt/6OLeg +5loz+75zVCitEtpikNSMWK+r0vd5UEHil/vGod+NyPPjpR3L9VSI7M80dp1q +RIwpyUmrFipwfv4Wxd/WiGhc5aId7VSgWhvt1IlrRF578qrfDFChsmO3Usax +RlS8ffP8/AwVzD/1Gj3xaEDZ9YZpZbw0iDtzKFJ6qQ5VDjwSGD5DA8Hdtv3l +g3Woy1VUtsCIBgF/48UuV9ehSeyhf8h5GtgX8Hx6/qoOcXH5CO+5RgNNCUo+ +U6kOhcS989xzjwYjS6/66u1qUY780ysnA2mgojx0oLsBIY0HapTvX2iQ3Xl5 +YC4CoTdWW+Qcq2kg79zrvcEcoVnJwkpaLQ0k8jraVJnVyL7qD5nSQgNe1Yb7 +7ySrkd22xXq/QRp8O5qfcsOzEiUHHdfLYdDAfFDZ+L+TlWjGQVxhhEWDQc/s +5ZcClchhzNzk3woN2kvT9KoIFeiY6R5zzb80KNNImpDu+oJeeumaO2ykQ6TW +S8npveWIVCq9t0yGDvzjvI1/sTIUduF4QchuOgT7BjuKVpeh+y93uVyQp4M3 +elpx+nIZEhyf9e9TooPdyUfXM/1LEdN/dTxKjQ46+jbvnEeK0S4ebGjlLB2W +jGDTrxcFKHKK7T8LZzo07ZSQene9AO29IVVg7EqHhLk15UMKBWjNZrJD4z86 +nAksOG/bmI+ybpjFsj+kw8cKube9//KQVg6Hm5kvHZIvi6mZzeei6Yl0xB1G +h/OMnqthwbnor5FkRMorOvx9+dKrbncumn1ddhgi6GBWv16pfCsH3Vgr/GX1 +mg48qtN6PH1Z6L6plrtjDB3sNxdcKKtMR4+ei1UHE+kgmuXwH/16OuK7rJXX +m0yHegO5d3tW0xBr8b7rjlQ6SPjGDEeqpKFNywG3o9Pp0EH1vX0/NQU9zUuY +uJxDh8fPjz39oJeCTIPGdR/m0kF+D0YY+JaMKscSXN5+poOvuc3MSfFkpP/J ++hDKp8Oh1nMPdkYS0A1jNY3BYjqQbbgizh8goCV355XOEjqEbkB5wa2fkA4b +5lNXSofJY6rLGOcnJDfetxBbjuubqqy8ZyUhFymLo3xVuH5wsgaHchL6Ka+g +PYLzUNV2H2e7RESMt9pMrKbD8/3rHGfG4tEdL1O+vTV0WNzYtuVnUwxK+hlu +waijQ6phRrQBVwxKxs64vq6nw53QEMm3etHIc5zuf7CBDoO8p/YdrHmHEjvu +RN5opEPUGdnP3utvUb/URMQczkbP2Y62nniL3q0Xh7o20aGWp0rHpvw1cubs +d3BvxvPndHxTwWoUUk4lXaLjrBbiZcSmFoUaOoqOWrfQ4domxzw1mwiUn2w7 +o/WVDp1hCpU9E6+Q61+eYiLOegLTzY63wtCwsoAPZysdlPlvUQhXQ9HVB+S1 +EpyTX+xc1OoPQe8vPMnmbaPDDr6hleHzwai1Uvb6FZzDQ9+wu3cEot4zaD0B +Z86N5wU3n32G9Aa0Eylt/1s/gZ2ZTU+RY0jkEcl2PH95vsrp6/kj09bkhis4 +twryW9f4+aAMkwfGoTgXbwp8vPLoMaLyjXWW4vxR4G/UfreHSPf43JkJnF/y +e2ZYObijl5aBFVwddPDkW6qJueuKrPTT5eVwrt/anZdY4Yi2Lp97ATjHCdVR +NubaouQau5nLOLsIFgl6fryD+vV+atrgHCZm9KRB7graZvEzxOV/7Qp3CjS2 +6aI3B2w7PHEm+98+bRaoACqy2vyPcB6f2zx496oJBM37n3THuW5t96ZRA3OY +eHTQxQHnl+sfhtjyreEsv1H0TZyL2HLT31bfB+9doyVn//c+e6WXQrszLD0d +71TFOZDdRm6c6gZtx25TtuEcy0HdlM7ygB/R1nMsfL65nP+tuP56BFzqy/Pt +ONdx/Ro/vsEbjFg7v3/EeYj7aTMXrx90L00OOuO8wsE5fI/nKVx4d61OA2f/ +wNPt7S8C4NTr0NR1fD34uV7WqAgGwuBo4LNqnGW4t2b8FgkBaW8JhYM4ZwZf +SbwT8xwad4wtUfD1P8oTG9Uo/gJmwvLyXuJ8llfmcYTsK7DwnpHsx/Nn4Lm1 +03JKOFg4PGx1wTkv8FJ+tkgkKG175MKLsyZXdMqWmCjw9jmcoYDno19jmXTD +9ddgTZY/kY/na0PQaKyn+Btgqv1uOYKzKbdUOCnpLZRJNXXvx/P9Lk+KZ0pK +NHiXpiZ8w/fPzR1+7s0PY+DOF6MTh3E2U7ruNm8YC1IqKSw/fL+dMd3kdIAe +B3nfT2Xy1NJBKdrDplgtCSbXg7S68f27J8PUeoj3A2hN//zIqsT9p2Kf5c/R +D1A180dyC84hS065Segj8PPX2Gh+oYOX8O7MSWsCHNEQOGKA+4enhFAGq50A +GziqHTRxf3GT+5vGqUYEyRtGSKEI9z/1oRR53mTInjaoYOF+ZGH+8pN9dgpc +idsspIf7mQ6RFYMtp4PxoVifZgIdTmR/i+a4lQHaiocSb36ig0Zxx3uR5gxY +X4scp32gg2pz2lu12EwoFb3f8icBH/+ieeRjrWzgEJ4+1f8e99/DDSHswZ+B +O8HqrH0ovv9O5AcLL30GGVisIoTg6y/bpbt1fx5oHKbfGAjC/UKp8uTud3lg +PR4mvC+ADh5a70H/Xj64pRaFv3hMh3uWZ4+H8hfChqF8ZTV7Orwos7wQcaIQ +XDIMLqvZ4fm42eveuweFUL8S6qhiS4flqrQ3n7oKIX27xkMxK7y/nVzU8jdF +YDhrypl5nQ4xfShhQbwEMh09H5NO06FF/+j6uf3lEFrxissbPx8XE4xELt4s +ByrD8CNJkg6Cy9aK18LLIbV230k1cTpcJrw2u8soB25niRjyNjp8W1/K9S76 +AmKur3NpfHRYK828nXOiEnJ3npGRXaaBgqJMraAxAlnaadeROvx8fidXdigA +wSL/fo8riAZnNih9vliK4L8lRlVbBQ2OUONM2oRqQLUgQDatiAaX61NObH5S +A2vww2xHKg3euFaIRZvWgkxhoiM1hAZbO2e6U9fqIF5eKv3KaRqMPrvfri5c +D0sHNcIk9GhA0KA2txyoBy7VWdKYNg1UU5jVC1b1ELbdpN5UjQYXvf9kK3fU +43UidYixhwavFbeGlnxqgA3Pk8/t20CDLSFaJ5vONsE5n5KrPsVUaCe5iZDu +NsGZEH/rrDwqPD+UPrvk2wTXNeia/VlUYBvdGr6jsAmaGhMuihKoQN8/N+oo +3gyuC/9MLMLx93tfuwtTm0HN7FwXwwZ/X2ou7c6rr7Ct6/GUwRYqrBe/Fvzd +1Q7cW33TOa8vgoC7WI7JXDuElPnwm19ahJ2qSecIbB3gOLBXP8d4EdRyM54b +qnTA7xeZuvq6i+CcWsMe87oDiLZ/ovSUFuHbe/rKkSudYB+QOfn4zwLUPjxL +cRrtgnDXk9EUvH6uk9hwzdWtB9If/VugdM7DJbk4dWJ1P2QNV32V/TYLKtd0 +nub2DoFnAbWajzwNIfc1a48MjYKOtvGl32VTkFW7TchLchz6sQTJCv0JEJT1 +u9v27hvk0OUKOfvHIJf77plyrUmQU8+vDf48DO7+phNvvk7B+iypye1PH3jO +3/2RZTwNirtP7NJT7wLKjwUhIjYDTGJDnUR4E9gqHPjYtDYD5+Qzv0w5NwH1 +hvPBhfUZcBPOEau80ARriGWswj8LKTP3bnza1gRCL/68QLtnYcEiW0snqRF0 +pQS5yJdn4V214MREQQOkGqj8FCmdBRb6N3tmoQ72e/33/FjVLPBtDgiw6ayD +gqzi7Rb1s7A/skPxfUEdICFNNWLXLCh/8P19+EkdDI/q/qcyh/f3hHPdelMd +8DlfphnvmIOAIN/k9KO14BT9cCL4yRzkp2xIrdqPICBsiHogYA6UKGnGO1aq +4f1T9bX+53NgtnE+MhNVQ7XDquDu93NwY+Zwt9Olatik8/AEypsDt/dH/AN9 +qiB7zjN6dXoOIjUdLLaTK2BBw9PY7vw8XIjs3uLRUAbryoPXNl+dh+Hj0ZI/ +3pbB1j1qd0tuzoNtmIhkgU0ZaAquPOZ0mId94YzZKZ4yCJ30SP8YNA/Kd66e +PmBaCgovPThG8Huae1qtYdh8MdiQ3csN5RbAY8hj5z7TQlDzqv3So7QAGeeZ +4KFQCNyigpXXVRfgYJ5MJAc77jOmafhpugApWN+H2eICoNaN1IdeXwA3nzsC +/TIF4Jah3fn11QLI/dgw78aRD3oGL7suvF0A38Kp5b/f8kBkaqh7JG4BZCR8 +WJ3VeVAs4do3n7YAsmxnq/We5MFaBHF4Y90CjI8aha3TP4OvJ++U4coCqH3/ +kDH3KwdMha9878HzumGsTmC1Ogdk8j5NX+fA7216W3bEPsuB2nnNuftCi9Aq +9FEuTjAHOG8+oIUqLsLxgc0ziUrZ8FKvd/XrrUWYnPXxEw/IBItvUj8v2CyC +lvsdvo+mmbDfx+HXiMMi8NSna9ZIZkJnCeff+UeLMCtY9XqgIgO2Kqqz871Z +hFE3Xiurf+kQI5QgcLZ5EZrJvdcfJqdBdXNljWXHInB/1xZP802DKd8xd6++ +RbCqKHOyuZ4GyjSpsXTKItiaVvlGCKVB/ddPOTxri5C5aefhlKBUmPOvs5Re +X4Qnp9/9d+VuKggem9qmzkmFe9EO+dF6qXAtdY+vrRAVatTmxvs4UoEekGbS +qEAFUa/WXeovU0BEs4V9TJkKCdd1HZ85pYAGc65k+QgVViXuHbC5mAKBtxWl +95ykwvvE8v4F8RTYcSJnKeA6FTbK9PDzlySDNquDGHebCtWqlrc2JyXD3Uz6 +1QLctySKhz5nBydDrtihmglXKtA+q4sVXU+GUz8KInVeUOFpktwLdp5ksM/u +O3Utkgpnbr++SWIRIcJ6ec35PRWcIrhbzk8QYbTnqOUH3Cc3O/IfFq4mwr/n +ZttK06nwy6dNwjKHCHt0Hn7tzKXCABfL2TiRCM65ZSrrX6hwq390L4cfEd7a +jExvq6XC9un1hx0uRPgi8Sv2QDMV4kwv8R6zJgLny+PsN/twX2a41y8ZEkFR +16LEfYQKJ64skbS0iWD609s+jEIFoZEfm5UPEyHuXnVvxSIev2M6GStSRKiR +ogT3ManQzx213rWNCNMD/zQXV6lw7nqoqfEmIvC9klliX6dCnS9LxJmLCIdO +nSTu5KRBlO9889F1Apj9tryqykeDBxMDE59WCfCkIID/rBANpnzcyYVMAny8 +T0SWojQoMuxTcaQSoEmm4T8vCRrsOnDJom2WANSh73ujZGmwPJI+2DNFgC0R +XOR0BRp0pI6J+38jgJqBfGSNMn7uPTifNjhGAIu/BqeGj9BAx6lkeYBEgKdF +99aWNPF7uaqEv+8oAVIdnmfznKTBrSczjd0jBGiXzbgjjZ+bUkp9uh04M0e+ +iqgb06Be49d/7vjzyZd49Xsv0eCVXNiRRVzvaoeBx4MbNIg1bCQpjROA73RQ +Cq8lDazfveJTnyBAVU39APEeDez2m1ptmiaAiyY7NzjRQB1bDfw8T4DdRTpq +o+40uCH5W0RqiQCDB/xsPZ7QoKnnYvH1HwQITat6LxRAg/f1Tzda/yHAiV1/ +mrKe04Dx7W2xJicRluI0Vw0icD1OuVsTAkQgiHjtnXxHg5e519KvihLhSnjp +VZ8EGoi1TWskyRCBl3clRIxIA8PHwuXFSkSoeHqkrDCDBlwzFe1J6kTY5ZEv +tlBCAyvObtO5C0Topy+dCarC56fybfPZO0QIsVP2kmmggfavUi5/ZyLQzLNG +zHpoEHKzWNMhkggfB+Y3YkM06Aq06dpFIMIlUwXNV+O4XvzKqc9FRCjXTYmr +X6TBAnE08AKZCI6VU623MBqETk9k3GMSQVpN9vfPNRoIG6rbXMX3S9C+D+aH +uOlg7EEwbzqaDBeEYiUS8bpMtPR5zI+EZOB8MWR0bC9exy/erFwsS4ZSDlGf +vgN0OO+Zw147kAySq6/HNh6nA0okt/JvTYH5sbAkzyt0aDthpKv2LgUSrrZ1 +brHA72XhwQ80ylLAtGfjv2y8Tuzp1ny0i5wCxQ3Bt6ec8XvwmNlOonwqPM3y +lzn/gg7n+qsMnjalwhE5dH4xkg7PrPQkaxipMJv01z84mg410irN8+JpYPz6 +8URlMh0Y/wl+YvNIgx1e7oR9CK9r+a1XL6imQ76B3R6OZTpEV9/4qTqaAWWj +j3mUf+H3qId0gbTNmVDj9GrhGtsSUF+HtGH6mdD9viAvV2AJHvCeXRcuzgT6 +zJ8TN+SWYMttacvIxCxQDIm6km+2BB+2/qrfFJMDquLJx8gWS6BbKNZnSsoB +jc8l4jzWSxC5V2nUXToXzgyRJiyclyBmWrDdPjMX7u2Vd+J9vgRbK9QcxNs+ +Q3Lzl+Db5UtweL92vZREPmSbd9x/gZZA+7tGKZd+PhQuUYyKG5eApOjictcp +H+q2cwnz9y5Bfynftxd1+TBxz/RDycISYE0TxBCXAtjMiZG4BRmwEtl1mThV +CEbJwcs3gQE7xYU98vaVgrIu94S1LgOc4jVNL1uWgtC3oI77+gwoVa+WfRxb +CgPiQake5xig+U9l3Ji/DG69eXbt1VUG1DX5Scj9KAOXAP/KSmcGzNUIKYlM +foGLMmwZdW4MEHbMXBCXrYAj1X7vWjwYMH5ySeSzVQX8/Onr1P+EAa9rLhs/ +nq6AAFcfGWoIrtfabVrKrIR3dx4Hin9kgPInoqmjHIJH6z9ddhEZsHRJw8DP +CcGNBK+be1MZ8DH5jtO+MgRSw4/UDmczYCaTeo0oX4PXAw/nzpYx4N8P0ZJb +qAa+aLsbPe5mQC+n4eGSf7UwLuEkMsLGhMPzIS25qAF4Ev5Uy3AyQTefuyYD +a4BD4i/v2/EwwfL9SQth+UYI2JFevbqJCU69xzPUwhtBXnTSTlScCcGFSfpk +6yZw3mxWdekoEzwVMs4Vy7VATPj3e/HHmPBRtfWOwp0WqNv039ap40wYPbC1 +Riq+BUQEIu+56TJhIeG6cMLWr1DG27olypQJa5ETNvy8rcDGrm3beZ8JucES ++18KtsO+p+1Cog+YEGa0lClzsR0usplX3HRhgv/rSIbF+3ZIXn8oRPNkgmKo +mPKgTAcY/s7/wh/IBEfy3b2K2p3wellus2ESE66ZpH7CTLqh4r+i8shPTNCX +m+YleXbDd0z37nAyE4wOCtZqfugGNebt8ntZeHyMM7Y7MbthlBZrHVzGhJV2 +zV3CCT2we3ZTWX0vE3atV42OCOL183/cJ/oGmCBhduD0bq0+aP23jiaHmaC9 +oY1/n2MfuIgxmjdQmKAjfy4ror0Pqg3xYn4R1y8RtxeK6Yetg63mpnQmdO7u +veff0Q82VvWUW0wmsPzfLIhzDoDAk6JZn1UmsL+nFBzzGIDr2e9XKzgwUByK +8pR0GITsYxFP2rgxsA4692clZxDYGkP+jW7EgLpEzg9jDULq2COeX5sxaKz3 +vCD+fAiWBc23H5PA4D7Vq7B+dBjOxF+KPy2NgepXv+1+6iMQv9dI+qosBgEb +Y9qK34+Aro7WXk8FDHT2vVY7cGMUIlyl1YuOYPCRcyBUf4IEk3+3V9SrY5Ds +rqHYrk0GtRdC0KeJQUj2qTD9WDKEim6sn9TCIGHLRi4pBhnIhA2nMR0MJEq/ +H+/XHYNDB3+1bjiFgWPvytFfkWPwrAIz2XIaA8t5ZubR0TEYPL3YK3MWg2dr +Q/UgNQ6K/VNmh4wxWKw2sf5uMQ6+d8ijcB4DkbEBkQ3vx6GH2n/L9BIGLepT +lc++jsMer47JW2YYpPqBzP3VcXjE1WTrdB2Dhnq9KxXSFGiLql7wscBgYyy/ +cqQuBaSkSp1e3cagpMQljecOBdwyP2MJVhiwmzTbnH1EgUa1dM9sGwwSvcn6 +z19SQKz+468KOwxsb6Vzr8ZSwNE01rfNAYNfIh6CPUQKIFIUO8kJb9eeNLqc +QYGtdi+CF1wxmNsmpVmbSQHb5QC+X+54/CS+YdfTKVDu/yR84yMM5HftdLEk +UEBgk/vWHU8w0D29MLwT178T6/hewReDpdyttJYwChTJ2ew89hSDgh1bg3N8 +KMBTcDPpdCCuJz6zf6MjBW5om8leDcFA8rVP3c5rFMhtNUm1fYHHh412TBqf +74arpxU9X2HAZv7C/IIiBS5PQW5QJAatEweT54Uo8Pv3oZLk9xhEXtM1kB0d +B6tzhOub43Buzm4rLx+Hljjhv16JePxvvDK6FDMO7zVW9EyT8fGG2Rp4XRqH +Qw8ren7m4/lCNTp0uHkMopv2e9wtxsC4RWlXXPIYrG9LEusqw0BWMn7kScAY +tBX5305GGBwQ1xxX0hkDW0yfZtKBQfsprUm+JjK0nyyNLO/GQOG3/UGlTDIc +jlI4sqcfw31vu4N3BBnivsUOhQ9hsLVJI5rfkwxsh/if/BzF4IU8G8f3m2S4 +5+ctdXccb/89bL/5NBk6O2m1nRMYDG4eF32vQob4B928yXMYxC2fr+3iIwN7 +1clsQSoGOXF2XK9+ksBOoNDUawkD98bss1/mSdBlvoc1hWGwLfHr7hskEqhl +vXtvsoLnT5T7KadOEiT84tYs/4mB+KLyu9U6EnCcfTS2+y8GV31L9FfKSGAf +O+8fzsaC+zePjN/PI0H33I09PzlYIBagYXohA9c71t5szcOCs66xbFlEEiSG +aDl08rEgMVWV4v6BBJxDuYIagiz4alR0PzsB15OXKSBuYcG5Oy6VJvEk6PGI +uiK4jQU+U2cSruF8rJH95yMxFgTpNvk34c8nibgnTImzIMzzbuJbXI/r7jSY +SLPgycTuhWq8P8dCs6kyWRYsn7BXOomPp5e9JXi3PAsKbsNPUXy8Ghc1FMP3 +sYD/L6PxOD6fj58yO9b2s2D7wt7vmbUk4GaKu1ofYgGB9CjsdjsJHui8Euk8 +zILz616Tl4dJ0B+xXnpMnQWXj9v+DJomgSbF2ZyoyYJ0N7NhGgvXU55Y36TN +Al0XMd8QDjLw+F4kPDrJguLvmd+NRcjQL3F03vgMCx6a9QwaaZDhuGNqWNk5 +FuTs1b7+xJgMhIrth3abskDpp2BEnRUZnG/88ly7wgJHTl7jkEgyDGY47LS+ +jvP4Ev/vdDKc+Emu6rDA9TiG6f/VkYEvBnESrVlgVyq722qNDC6zh9I33WNB +/p5EyU6RMRhSI5x7ZM+CWEwmcr/qGGgHCy9NPmBBUjfX70fnx+D/fY8O//97 +9P8DW55sMw== + "]]}, + Annotation[#, "Charting`Private`Tag$88056#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.1151619189711892`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.1151619189711892`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.2151619189711893`, 1.2151619189711893`}, {0., + 0.9625816554626622}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, + 3.7142376591520367`*^9, {3.714237870020213*^9, 3.714237895967791*^9}, { + 3.714238448121496*^9, 3.714238456602359*^9}, 3.7142394684451733`*^9, + 3.714309360427518*^9, 3.714309402834841*^9, 3.7143096565203533`*^9, + 3.714309861928784*^9, 3.7143102830457172`*^9, 3.7143103257857637`*^9, + 3.714310775319235*^9, 3.714806815543325*^9, 3.714806849086192*^9, + 3.714807553716565*^9, 3.714807649722921*^9, {3.714808230981045*^9, + 3.714808254462695*^9}, 3.714808793742247*^9, 3.714809138986257*^9, + 3.714830785720742*^9, 3.714830886934681*^9, 3.7148331393766127`*^9, + 3.7148332410195704`*^9, 3.7148351822386923`*^9, 3.714836338517501*^9, + 3.714836531227767*^9, 3.714837257692141*^9, 3.714837313927657*^9, + 3.714837548981167*^9, {3.714837733053969*^9, 3.714837766917502*^9}, + 3.714837990449766*^9, 3.714839543879813*^9, 3.714839594809494*^9, + 3.714839638140133*^9, 3.7148400373705463`*^9, 3.714840760440144*^9, { + 3.714993310800767*^9, 3.714993323253458*^9}, 3.714993372215808*^9, { + 3.715473428892954*^9, 3.715473453995926*^9}, 3.715473587859758*^9, + 3.715712832261046*^9, 3.715719387803874*^9, 3.715733562915331*^9, + 3.715766553139045*^9, + 3.715766865895159*^9},ExpressionUUID->"255e4ad4-fc33-4b6a-8112-\ +794633b30ca4"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.00001", ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "-", "0.00001"}], "/.", + "sol4"}], ",", "0.00001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.71483756248528*^9, 3.714837563468934*^9}, {3.7148396198220043`*^9, + 3.71483962069382*^9}, {3.714993381843835*^9, 3.7149933950922737`*^9}, { + 3.715473459151826*^9, 3.715473461575972*^9}, {3.715473602329927*^9, + 3.715473604809793*^9}, {3.7157335751229963`*^9, 3.715733591474635*^9}, { + 3.7158877325429993`*^9, + 3.715887738846607*^9}},ExpressionUUID->"a99c4b04-e2fc-47f6-b2d9-\ +7e135d28c474"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol4"}]}], "}"}], + "&"}], "/@", "func3"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.714807568353258*^9, 3.714807568561453*^9}, {3.7148331605531673`*^9, + 3.7148331610481462`*^9}, {3.714993392582136*^9, 3.714993397619061*^9}, { + 3.715473466424056*^9, 3.715473468776598*^9}, {3.715473608130603*^9, + 3.7154736082020283`*^9}, {3.7157335991101427`*^9, + 3.715733603779353*^9}},ExpressionUUID->"4e74b80b-977c-430d-ab65-\ +c2516c21c4d2"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.002777777777777778], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwU2nc4lm0bAHB7P89NRhMtISWZpWWUopQWSUpCVioZpaGSlRGZGRmpSMMm +1HmJ7FEiee29997f+f31Hr/jcY/rvs7rHB3vJuObZ0yZGBgYFnYwMPz/v89P +BT9ksBEh+jUi2UN6NLLzh9ah5qX1JDbZUyXkAo2Ul7ZfTX+wjjC27zDZqU8j +mSqKsbqma0nGu/CcAvTqPVfuz3iuIZtkVXsMLtKIjOf84ZO1q4n553VF4+jz +TyX2p+9bTaSEBo96GtDIjjdv2ddlCJE/u+7IbrxEI59+iAY0HxIiitWaJRno +tBomtZpaQaJ1NDpE25BGGqTO/0m2FyQbjJXPdKJX2Tm9LhAWJM68T6n7l2mk +qnp0mpQLkIHislK+KzTiKFfHGPdEgFyQ1/eKRxf5CdRF7RMgPnUjmoeMaOSe +8/kF2jw/USkyYvmL9i7U6jPN5Sf6mTFF1ldphObWc0zxKT/h91t0ZzamkTfu +czOix/nJRlYpjTA0VUjpVgvxE78kK/bd1/D3nmJ7jq5VxMdesqgInSK1POGW +voo02Je5XzahkX7t1mPrPFaRf7ObNafQW9+utwu6tIrMXHPj8jalkY9zTUO/ +ZFcRlSP/lW82o5HbN+PKE7hWkc9cEy++out7R/kZO/mIqHLcGZ3rNHL5IMeW +nO98pOZ9sGAP+ooo6wEI4yM6t5P/PTSnkdgJUbEZRz7C6aUcIWBBI8aTSmUn +dfmIt1PtlUS00D5P1jQFPtLlnbhFzZJG1ktuPS8kxEf6o/f2/kP/zdyXajbD +S/7kJXy6aUUjbr0/TEPq0Wfod9isaUSOVfS/8Fxewng8ZU8k2vT2yDPzaF5C +VZ9ZlrtBI2sObCgcf8ZLNDLvFpSig22f/JKx5CXiJ/d5XbWhET/ZxMC1Orwk +b4x2ZhZty7Hrc5wiLylecFr74iaN5Eyqni0V5iV+PtxtYrdo5Pk/ZQ0XVl6S +/0IxIRctWObk799AEZrrldtnb9NIkG3CRslPFBFpPaDcj777MexunjNFYocO +Mj+xpZHsRK1Xp85SxMw9oHz1HYzvoha5EnGKDGdZBn9Gb+laH7F1iU4shJyN +jtjRyE2ZIzkX/tCJYKGwVCP6xkF9FsMPdDIjwTlta08jngYmFpJP6aSZSS2P +04FGDIUbT2dcpJO3HNXe0eigohb/RTk6eXI064KSI408tj5iPEXD30PFxSrR +M2OG+mG9NKK5v3PM5C7u54lLJl35NMIXOvt9Aa2y81TerygaIfHXvV/eo5GE +ta/ndB/QCOdurYuSTjQykbnYaIvnbmOxjwRBXwkvfiCqhHF2T2JG9z6NHBcr +Er8gSCPrwkULh9DdHspmayZ5SOm2F0HP8D4PDY5MG/zhIVFG+qbrH9KIRk5Q +sUgqD2n9e18hBX1P+/TSpQAeEm/Cyqb5iEbeWexvW2XHQ+6ZL/5tQV9gWT2w +/zwPcUkzindwxnWQ7V/rFHnIKkWaE+0xjXBzs1Gta3gI74LUiTh0tqDRnzML +3ORker7Ivic0Epexmb6zmZvsvpoy9hu94U1wt1UeN6l/wP/T/CmNHHr+JYbn +LTd5+iUvdAUdc8o+mseTmzx0HLMOdqER+1Uely1ucJMjEU6qO5/RiN6ub7c2 +nuEmiy4PhArQpKXaZZcSN8mc+m/goiuN+K7ZaxC4gZvosHzMG3P9f3wNVZ1g +4iZTvf9CPNwwn4lZV+n2cpE73k42ou4Yj6wfLiZVcpHv/j5HMtAZdhKueulc +ZMKfTVjbg0bujFB2WhFcZAtb72QHOonDwNDdhYv43FGscPLE+DGjufNYcZFX +LFNv+Z7j9TYOGv/OcBHuv+uc49G7Ah+t9CpzEauh1AuHvDBf5C5vObCFi6R+ +yZD9i5bav0nuDzcXkdq6g3bDG/dDtywrYZKTrN7J28vsQyNzwpQ2NHESieIr ++WHouJm4gFVFnKSNLha125dG8uSt98UmcZLxGf37xWhFz/El6zBO0sOwoHfl +BY30JTNG3X7GSTLHeRSm0S6r5AY/23CS97RXq3z88PyPeuRu0eckXAI+o1v8 +8XlxPKOV6pzkqddCZTZ6id/25hdpTuJW9e/T6Zc0svsKSBWs5SQNT8V9etHJ +B+eEeVjx79/3WzsH0MgPsT8abqMcpKdji7ZQIK7X8drn3Y0cZOJi9c5P6CNn +Gq7RijmI3MNJ+uEgGmENUX24Jo2D9P1xH/0P/ejm7tVnojnIa5eQ6tvBNBL/ +OfzcV28O8jN4QzpHCI3YSHpd1r7HQdh3rQqNQm/OGrhGM+Mgjuqu9xVDaaT2 +39lXs2c4CHee9ZUK9Jn8X3voKhxk+l2luskrGnn9Oe2J9k4OwsqYILGAFjO9 +npW+joPk8y7QXobh+Rzcs02Dg4OUcBVOSITTSA+z4trlKXYSasb+H6DvvVju +aOxgJ392FxPdCIynzsimtt/sxIOPMX4IPeticpWHsJMCv+QXzyLxfh/yKw0+ +s5P27FbH9a8xHrW3e1ZFsBPeD75GKWgG844ZMy92InYsVVMT84DawJTrJid2 +ckZEV64VfSqJNXbZnJ3orbsn7BiN9aNf4fuSHjtpClrNQY/BfBzCoyNylJ1Y +j8pOxKG51+r9uqLITr6olTXvi8V8zsWbkyfGTngOtJdWo/MbjrxQF2Qn7sFO +mRZvaMT1CVNVJws7YbQNiGOIo5FwRfmVuEk2Qt2VeBmCluwJfu/SyUben1F9 +LP2WRu4/e33mcQ0bEXpbZ/MT/VHH2CesgI0M2I4aXnpHI005Hj2/09iI5G1v +7Qm0i5D8hNhbNnJL+P2B5++xP5gdORwchPf31ZDeFE8jm05E3dnsxkZMWc1F +s9D9lNWaUgc2QtOl851KoBHeuORK7+tspMBUnrkbPZI9LWd5gY24TLZMPfiA ++bLqT89VTTayJMPXx5+I+VK+z+uOMhuJWyhq/IBWTq/Kfy3FRtg4GH+rfqQR +XRsuhY4NbCTV4MfPf+is8Dk3FTobKWXhzLn5iUYm9SqMM1ZYyb1Pf5PYPmM9 +PnzvzuExVjLbuP19JNpaPt60v52V5BOW1/JfaOS9c1LP+xr8PfJ6UBna+YdH +woNCVnI09ayPcRKNnMvOvWSexUoOMhe6zqHVyo3TLD+wkgHFH4/8kjH/hfGZ +ukSwkvj6o3fFU3C/Nf5uTfFlJQoCerbf0UKx2xOnH7MS8Tej1udTaeTX4kCS +zh1WYu8lYD6I1qTOjIIpK1HVy7/mkobxpNO99fAFfL/4pSvr0rF/sbnP3aTF +StS88i8lo523iRk/P8BKhjMELx7LwN/PyfQel2ElCQaTei1ozX3rL2/awkqu +chnpOmRiPl3t68olxErUFy+cp2VhfJed3cTOyUrW/Ww5F4deu3RmSmiRhSjF +TZ7b95VG5CXcC/eOsJChdaHnq9HfBeYv3mxnIWfdSnUtsjFfXP92L7OWhdy+ +7n2BIQfrmWNnP18JC5GfbboYgt4h9cjxUS4L8UgDQ+lcrGc7XvQtfmEhxTyy +V3+iY2R4eHzesJCWkwqml75hvnhW80E6hIU4sZRaTKA/+n982fachbheGbV5 +/p1Gyr7s8X/7iIU8mIi32wQ04iMya+dky0Lqt0w6ZaGLuVVoRmYs5P7p6ien +CMbHL8XtuhdZiEaGumc3Wl+9KuLSSRaSP37M/2EejbySK1C8o8ZC3li0vxL4 +gfdnCyx9pYjvd5n3TSJayfyB1K/tLETr0J+PaljnFbY67BQSZSHvnkll1qNf +CO1+a8XPQoSur/1xq4BGhrR4zX+xs5DLkZEV7D9pRGBZ7MThRWbCfySr/jXa +h0dGomiUmUiXWnQrFGK8Kgf+udDFTITSUibK0f0fLm2bq2cmTUcDGE2KsN+y +kJ97X8lMAia5eRfQyutNxEzzmckJCWHRl8U08iSl8plMFjM5fKpIWrIE84HC +8BjnJ2bSlcB1iKCz0n4dHYthJtY/e07plWI9UxI07g5mJkWdl68Oowvrezf0 +eTGToce37riW4bxQzHx+7jEzqZjb4LahnEb2v33XI+SAz0sxeZWKVo0JSVG1 +YiaZzMc+aVXQiMeIaOA9I2bSrF+U14b+KsJp9f08M/m7o+Pv3UqMX68wId7j +zGQuLXyQqqKRxclgBxsVZpJvN8b0Hq1GKVvVKzCTAw2daw/+wnq1RbFWR4qZ +aGxx2F2LPv8rOahmIzPZ0fFW0/o3xtvXI74mQszk2VE7Y+ZqnD9uzkcz8DCT +2da2+2Hom3s0kuIZmUnkynDQ7j80UsnFHXVphon8Zo5IKkY32wbqbBhiIjYn ++squ1GB+iA+K72lnIrRzdT3TaKPX4l7f/zER+kUzFt9anFdWChujK5nIZH3w +JrG/NNLlfOapbwETMTlscSgXnTvOcdU9m4l8q2wyPFuH++HsftkriYlIMU49 +6EcfZy02CnvHRGb3fIl48o9GtuuLnkyLYCJFRTzf1tRjfxm0j1b/konEi9Cb +v6B9Qze7cngyEf2w1BWN//D+F2Qi1ZyZyPnIpU3N6D+XBQ+42zMRH8/Bw/YN +GC9nak/8tWIiJQWPzXkaaWT43s+0XcZM5H5itvcb9PU9XoYBF5iI3+uwZOUm +GqEXrpNhPMVEDLk31f1Gy6WlC947wkQyDp5cMm+mkX2RfTPz+5iIYMbmrQwt ++P3/+RI3WVx/1uvjIeg+iSL9DZJMxDv9xx3pVpx37i9+yhFlIpqsLyJ+ots/ +tLw3EcL3X8tSeKkN86XOddnVNCaSrrx5dAJ95Vnlnj/MTER8qG+dVzuNfKkM +eBc6z0habxpobO7AeWzY8fr1MUbyVdrR9iuatejB9UO9jCTF40CUTif2N0c6 +X25sYST/pj6X96BpV3f95frLSHzels0/6sL8NbhBZLmckRyVDJQU6qaRq5nx +evP5jGRrFYf+J3SJA9etlWxGojMu6Xm4h0bU/6Sdo6Uwkpyxma8N6Nk75ya2 +JDASJqU7A7bY59szVu1Vj0aLRwhz9dHI/Fk1IasQRnKd745ODDrXlNkx3JeR +HNKbddnTTyOJoZFaNa6MpPfujqwqtMuP386CDxnJaCo1ZDZAI72ng1iv2DGS +k2axm5fRL5z5ypKsGMlH5q4LQYNY391jgesaI+FoqXuxYwjnl9y/1dYXGcn8 +lftF+WixzhuTf08zEv3uqpWLwzTCZXBBQFOTkQQV1u4ZR0saZGzOV2EkMxd9 +bD1HcP5SqqOO7GEknCIzHzeO4nn5vKe8chd+DyP+3ky09k63Y0bijCTrXvuW +U2M0snd1qP2cCCNZrjEx6kYf3XrncJgQIzlXFBb5cBzXE3v0nRqdkSwkPWsQ +mMD5vP6W9zgrI7Fb2rzuI1rc3K43YYmBsCza66tP4veLZfxoPsVAFgUevfoP +/bRhtFh6iIF4xuz77/YUjfzsUNu92MlAauY/r+ecppGX1zbW/WpkIDwv/hlG +o9/q1H/8WMNAInOyopVmaGRlb2fci3IGQis/1VmJ/q+9KfleAQNZK/NawmwW +4y3Ao9Ayl4F47Ym7sYSWDyirNU5jIN+PGqcGzmF+SEipvvqRgeyv+jcnNY9z +m/+NpOtxDGSWxqGaj77rcMrYLoKBxNmNelxcwHxuVtngHshApi68/D2GVmx5 +yhvrzUAeig2v81zEeDonPvnjGQMRlWQx3bhEIwZxIU79DxhIw8+aL5lov8Rf +IWvsGYjkNaOFk8u4v0Ujh7RvMJBErfdHu9GcFrLXPUwZSGVfQuDDFTzfIVOM +pYYMZDrIvF2AgU7Mn6SzrNJlII+SOmQ+ohvW0kyMTjIQheD1j9UZ6SQkPF0g +XYOBaL3l/fUfWnubGzfvIQaSL5e/0ZaJTmZP3zlwW4mBaLyRs+VkppOLv3yj +/u1iIL16xgXR6M4ZNnENCQYy8/rU6j0sdNJzfVvJ140M5Er7gmUVmvp49r7c +WgZy+MF1MGOlk/11vHKpfAxEH14KLKP1Vy907eHC/d3wyDKIjU523Cn1LGBi +ILvrJPN2sNPJj+hYiY/TK1B7NXhNAXrUeHb6v54VyKIKbhlw0Inzh1hLwfoV +cJRKLRlHR6VgJihdgbM7TbY856STsj9bJj7mrECfVd3DTVx0cqeE3sb5aQVW +lGj1Wej/9thvs32N14+wKuhw08m5/y4mdb1YgYPTef49aM+5cSuTJyvAEKk6 +8oiHThozozSGbVdA54SrthDO9Vuixna6mKxAnZ7Px09o84p31BbdFSjdeJHn +CJ1Oqt5+qK84ugLDKwPWjWiPCQEnl70rkKmuXnmHohPac8kWdakV0LhsJMPN +SycxsXozdGFcX7h6QCz607m9yZ30FTDSG5rey0cnugsvFwoYVmB6ytDgN/pP +8ZmfX8aXYbo8iJivohNZcb+luM5liNgXtI2Bn054VLwC4v4uAxVwyScEbWT9 +0eFz8TLM7xqclBagk9OVLsE/spfhwcPDhoXoltzi9taPy+CWZ1poKEgn5Uf0 +j3NGLcNPIx2ZKfQmspfs818GjTSWcG8hOpHWDdx912UZBIRc2LauppP621kv +vtsvg21HmW0OOvvWujK6+TJU2be0nFlDJ1eEztaYX1yGnG3ftfvRketFI8pP +LMNTLfPcJ2vp5HfWZX7lQ8vwSKNZau06OgmyFJRK3r0MRnYbI5LQzfIWNbu3 +LoPlxl20Y+vpZPJWLEOuEN4/icu5BZ2tLxVzinMZWp1Txxw2YHxEv3g/uLAE +7k2SpnRhOmHvvs8aMLwEOtI29W/RJ2K/fVRrW4LK/McnD4jQSd4DtRcLf5Zg +gMG4oAZ9hHFN1LfCJXimuGqftSidOKhYVXp8XYKzBf4pzBvpROCJB2X4cQnu +LrRuD0eXZP93TjlqCYYOMsTJbqKTv+YDfhtfLoF194hwKVpU0DiDcl2CfPWk +0Kub6UR5lDmL/e4SVKepCsyhD8SkenBYLcHByDg/vy108r321vpVl5dAQa2e +JrGVTvgb9a5tPb0Ee9lbvQAd6RNz9tDhJfim+ZVLTwzfPzq2xVhpCXZdMn0+ +jNaPK5v33b4EVHgnl9s2fH5AfGi+8BJs01PyFhanE687rR8Z+JbAbcqQno6+ +ukNBSoNlCZ6SC/4nJOgkjduFPXBmEdg3Sgh2ojPeEIX+/kW4cbn81X1JzB/2 +ywnHmhfhdOsRUf7teD83swtffi/C0FTg2w9oS439CiI/F2F+4esONSk8b+KN +8kFZi3DgcHpaPXrsas5xgY+LIC/jfuD2DjrJzbluEx61CEv8MkUcO/E8iLj7 +bw9YBMEjSaej0Ur2dQl5bougsIGjSUmaTnYbSn80clqExlEliyo0e89dH3ab +RTDcpjJttotOrLVz1DKuLsLl5Y3PltGVybx51ucXoaX9v1XBMnTyev7D0nbN +RfgkaRO7czc+37J6aHT/IrRtbZD9iSZ3uty+yyzCN+nNBZdk6eRV4IXvAVsX +4W2Iuu4kWrgt3fPWmkVI+36oz0uOTpz4IpvP8SxC6aLQwy3ydOLOmJ+iwrAI +J+NK+HLQwpFjC3KTC3CI78L7Mwp0cuw9e5J07wK0BP440I9uc5gtkGlcgA5P +ztonihjvSWUyyr8W4KfGzhtrlfB7qUX2aRUsAMNWabZk9Mf2iC7jrAUItOOJ +PraHTkbE6eufflyAmIBi5Va07cZjj+OjF4C3xviv4146eSCfzv03cAHSAxps +KWVcf2N1KpfnAniLyPG+Rx/z2X1T4+ECsNVbfD64j05qHO3kPW8vwEn2x9p/ +0bIap+erTRfAapXD0I39WA/4/DK3XFwAFfUTvqwH6OQtA/e1+ycXIGWBSSYS +fe7054l6tQW46BVWLX8Q8/GCo9EhJfQRfody9JiHY3SiFD7v2Y11Jocwf69U +fBDZuABl0QmwgF4d98khVGABloaKTANUMB/80V9Yw7kAF74X80ipYv35vk0m +emkeem0+pv1AZxje45Een4ebOncML6rh+T5d5P6jex6OZgizj6OlnIJfGTbM +gyrzx2RPdTpRYXu4d6UK/UTEcNNhOolW33TlfcE8dLnac35FP9bfy6T7dR6W +rZIzdI7QycRBr3Xcn+eh0aPapBfdfmswqjB2Ht5J1fM/1sDrR1Wfe4TMg8OX +n/mrj2L+53z8W8d7HkrNQ+2+oGnbP9wQfTIPSZ9Pbzt6jE7k8qt1J+3n4WLN +2L9mtOS69a5VlvOQJX3P20GTTh7Kpo4mXZkHb6pXha6F8RFc7x96bh7uVx+c +fosuVmkwctOcB8mihx8PHKeTwtv8uk4H54H/+NtrtWip0AELO7l5cP2Qvv7G +CaxfmxsC7STm4fa+LzUs2rhfF69XOQnPg5zOS98ItNjxLavcV83DNa0rmvIn +6UQ++Mv5V+zzsPOWEGs52s08+2Xy4hx8Ec7Ku3aKTh7JrORVjc3B3XeHnRfQ +RmkajRPdc/DhYu6BAB2833ez/4Qb54D1pejS9tN4vkTV0rV/z8H9tzbffqCH +HItNXQrnYHdHwqOLZ+hEXHq683vOHNyJ/q0yjv6uVSPFkIz329XN/PwsxovK +Xbmj7+bAbKSnaNM5OlFcYp4KCJ+DmW113l/R/bFvLbr95iBcOu3M6fN08sY+ +5PlBtzkwveS8tg893yh6OuL+HIQw7m17rIv7u9Y/Y+XWHNTZtyWs0cPvq6SZ +Zm42B2qc9+4kof24U9TrDOZgip/h4LELdLJtReXy8dNz8KzdgbMVfXXYYalA +Yw5UKptqHfXpJHR767rD++cgVELhDXWRTooOCCQV756DQxoPb79H80+lZ5wR +n4PnjzJUDhlg/d5yR6J9wxzwbWjjrUNvDGdZcVg1BwwOS202l+gkjk1ano9j +DnrauNPYDHF9w9/ykpZmQTOZx/01+pKTT8z5iVnYvJfBQPEy1pOHjytWemfh +Vln3rkr0yW2uh740zwJTBmE1u0InBxUCx67VzAL3Od/GJbRSYFKTcOksHJw5 +lRZkhP2WS89SI8yC7BCrz86rGN/HdU7EpM/CH98ks59oYQOefMvEWdgmpaNq +aEwnNiMal/bGzMImwa4NU+idJxRW0UJmof/NzTnva3SyWUeopct7FuI3j/7d +akInc+9lv+U/nQWBAbP0XHRRTOO7d3dnweR4TeA5UzpZP3Iz2NdmFthC99gP +oo+Vn3a7b4LP3xSo+8yMTr6Vjt66cXEWBvb37NlwnU6ekAIdE51Z8NkjuyEN +LZ17cqORxizoWNsznDDHeP+z5j+j/bOQIJnc1YFuUM+4ayY7C3zZXWX3LTC+ +pPOnb0nMQt9d/lR+S8zXLzpPPhaZBY5s5fBENP1E8f1AgVmgigyeqVvRyUzT +1rufuGZheMrBpgFd6/P1YBnDLBSEeOvfsaYTWHuydGh6Bs4vRhzhvkEn0y0p +goJDM/DuYbzsGzTvc7JetWMG8sy+bNxnQycu6hfqbtfPwDRHCvUH/fHaNfX3 +VTPgnp20YnmTTnaF/LnY9nMG9AsTR5lu0UlsUOyajbkzwOf6pj0MraNT7Xgt +ZQauqobWyt7G+ImxvpMYPwPWZ5+XlKJvGbmwzb6egWecTt+NbTG/qsns0Aya +gfvJ19Pm0buaA1tee82AZczZxJd3sL+2/2/93JMZUJc8+Ga7HZ2ksMs26t2d +gfgI8Ygf6AvyNetzbGbgwhHe4Iv22C/uZvy72XQGLO7O+o2jB98wsL0wwPV7 +t3o/d8D8mrHp/crpGThdWuy52RH76c7sNLtjMyDimeyejS5m2L59+OAMPF8V +7nbmLp0Mi9cwWSvMgNt3V7d+tGaEmPKw1Az813jb/ek9zEeV/mV2m2dAPuOK +5zonXL9GQMrKmhkIfnfKOwX97mFivy81A8Yzqn5a97E/4bp2czPbDKxbUAxq +R0uc0dyfvTgNz5h2hTs9wPr3cvKE7sQ0cF3eHrvqIebfQcbI6b5pKLsi+eED +ul1MUCK8dRrsT+9IVXtEJzK1//rU66bhi7fct//QduLLTaMV08BucKjY1hnr +W+F+htiCaQigdGq4HmP9pJ09oZczDWdmTNti0S05rN95U6bhifmTEeUn2H9z +bjxdGT8NdYmxy9Xo5653GP2ipmHrmlK61VM68dn8r/R88DToTM+IMrvQyS/m +HQmiPtPA8HqHbDia6d3Z0CGXaXh0wfyI3DM6YY7eGwhO08B4P1G/DH04uTI0 +6PY0mJ6YtrnmivktjjP2pvk0BG3XdF1A25v0JGpfmQaeC3ERAW7/z9eWKbt0 +p0F7B0e6lDud+PpFJAtqT0PImF1lPvq5m9fbFfVpSF7o7zXwwHiQO/F8SHka +2kIsWSbRhwdmDVp2T8NdocmN3p50Ut2QLFQrMQ3/8t0Pbn1OJ+GVERmVovj8 +cTHDXLTvhS6lcqFp+DpR+eCcF/ZbwbnBFbRp+MvrEjmI1jmhX1XNMg1vXqvB +M2/MNwUzTQ0LU1DYQ2vf4EMne37Uf+8dn4LIA12s6WjH5xo2c31TwDdWvF3b +F/ND8fNeWtsU/Dj+VacL/ThwVnLbvym4F5Ph+PAFzgtKPdJqVVPgcTAvStAP +513n1ImrhVMQc6e++BPa5wzYuX6bgh6flfEj/nh+6m5//pg2BYpNciLN6MFr +SpF1iVOw+NlBy+ElPv/RkwNsb6ag8WyxIz0A4+FbodeesCloWS357h26+tvT +Zzb+UxCi+ar2YCDeT05xa7zHFKjvW8tWh5YvMLve5TwF5/cmKN0MwvMhHKW1 +zXEKZF5oWrIH00lTok2ppc0UaLyYj4xCJ01YdKSYTsGka261Ugj2O1u3v1y+ +NAVGP15w/EIbn9P+o31uCn752R0yD8X+6bLDm+jjUyCkauXI8ArzacWJlWm1 +KdDdYpcUij7e+6BDR3kKah+96JcJoxPv15knPu+eAoGEb2Il6Ci3FCVKcgr0 +hpavXg3HelYtHnNn4xRsDTkbNYdO3/nXtWH1FDhM5zT5R9DJ3q7H7RoU7pfh +HuHtkXRyvXwkNZ1tCsT5Sgx/oA2okWnx5Uk4aWoTdfE11n/jU/GRU5Ng9lai +fRwdWN9VIDQ0CfmbZsW8onC+6vfSDOicBI2tTZZbonH+0heV42+cBNuFuqQc +9M3DTx8F/5mEqenembMxmM9ZwyWEyyaB25hXZRDNoHlO+v2PSSj3Pun5LJZO +EuojvOWzJ4Ef3vzZ8Abft+K6ys/kSeA8wSuajt537KOGfsIk+D0KtNKOw3wf +ZxoxGj0JFm9kvnahQw4HHPQKnYT7nF3sj97SifaHPdsl/SZh22KyntA7OmHV +M7xU6j4JfCUh8Z/R1+p5qm2cJ0Ebguc13uN8nqvrIeQ4CYnbv2i3oG+YnXyQ +ZzMJXefaYhzjMZ8ZcCfeNJuEeu+dM1QCnbD9i+fbdHkSLm8M1I5HM6zW+FR7 +fhKeGgq+VfmA9Yyf7b6P9iRkv0he+oceTqfuHjsyCTyMFnq3E/E8hPnEsB2Y +hAiW/SmcH+nk067Pk0Xyk7C9dTs9Fs3x8o2N945JsO9QsFL+hPdLf8Nzbusk +NBgYllSj0+m9ZSIbJkH3ZYyE1Wfsp0Y/JQzyT8K3eiZP5i90siCl+OYb9yQI +3X3SH45eq/gz3Z95Ei59E9aWT6KTOrE3zeYLEzA7WZdUjv4UuX69+sQEbLZM +EjRNxnmx9KH5xoEJ8LR4f38J3XJlQwFDxwTcUf3WHpSC/YmbtlTnfxMwtn9c +SzqVTlaaLcNLqydA8L1GWiFaOug3X1rpBAhUZItcScP9WtPuFf1jAkrmTj6f +QZddY2D3y56AnHvMMy/ScV74FPD4acoENIb+M5HIwHkrk23a8cMEMMdV/iHo +j1ZFJrdiJyC8s0tdP5NOPHiPllqFTUB+gkj6GFpcdX6L5csJYDxwT/x5Fp6n +/As3rZ5PQNLAVNjmr3RyhjQl3Hw6AZwrgVQO+rEd+28HpwlgK9B1PZuN+2Oq +1/7YdgLm3PYtDqDfHzjT4GM5AYmB6nbPcugksdr5a6TxBByVvzm0IRf7wS1W +TkkXJ0Ay7fv1dHSFQuz6wjP4/oayHdrfcP0qGWHNWhNw4knplW50vde+qTm1 +Cbhh5t706DudHDhTIrFm3wRc07O4tBqwfi3Pye6Vw+tjbjV+QRu3W/IZSk2A +jl+k4TGC88mF3DyXLRPwn/VoSys6PdFf9dP6CfjtYnHtXh7u905/33r+CTi2 +kbOX7wedmAuZvOPgmQADn6obH9DH7mW4KbNMgKvQt0m1fDrRu6G08+biOKxi +qX7QgG6uDA15NzkO+97Q2ewK8O+tX+S3Do7D4oE7fjw/6SS1rvqzcNc4kI0M +G96iHwYL6xk2jcPmoPT4A4WYf0t3ZEfVjoNMd4DiX/QvH1LbWTEOewzDf9oU +Yf2NDH+/o3Acvh4tP89ejOfP32Wn4/dxSB7c1hOFPvRZxbQgYxyywxLv7SnB ++Ww+8oTAl3FYCL1I+40+JWzRZvYe31dePtaiFPtbJ9tNuVHjcDljzx6mMjpJ +k/DhEggdh9nr5lVh6OZq3zAbv3E4H5x/Xa4cz3fxqaoyj3H456HFWI6eXfnw +TurJOGz1WQo3qcDzzfxIxPfeOBwdbFRaQo8MxctP3B4H8ZHemqBKPI836D0X +LcfheuumO9JVmO+KA+R+Go/DGi6PVUXo9bkb18gajENT1vrUK79wPa+iXsac +HQcnuaZzs+i765ei+U+MQ05B+Yzfbzq57S+h6nF4HPIy+sMlq+kk8zv/7ZX9 +4yB6Vkn1Bzq0OkX6nsI4OHen9Fz8g+fDatFxaic60/DFBJo/pk/Lbts4+PDt +2eNdQyfjg/Zvp0TGQf6AWvvWWqwXElGu91aPw8izBz7f0JtDTftWqHHQkuvZ +q/uXTjoayyo9OMbh3sunPcNooYa/cgKM4/Cr52Swex32M0s+QrFzY/D78QmN +jf+wPy6Zt5MdHwPp9/dnstBL+yS1f/aPQVZMY8LpejqJ9xCPvNgxBgI5Nw37 +0fK72a6NN4zBs4MKq1z+w/hm+BfhXTMGsnd2Fq9voBO+yeRjkhVjcOnNBec0 +9MTpRJPin2OgtzZTSbsRfw9vGrb4PgZFGzTHutA/HEy6aJljsHOK/vFRE9aj +IkONtC9j0DjCYb66Geeh9D7KMH4MHpxREktCn7TZrsIRg9dbhHUca8H+Wvdw +bfqrMYh4IPumDR3BebnC9OUY8FavXHNqpRPRrdHb1niNwUQG0zb+Npwv3BVa +yl3GQPn2vr5EdBvH8SmXB2Ow7sSHT4fbsb/Ioq4fsB+DUp9Td5rQfglpsnM3 +xiDkqZSyQwf2Y0vWuplmY8Bx+yAT1UknnR03fjleGYOyWI+y92j++OHXyhfG +IOEKV7BKF34/LwmyojMGn0fyr9ajHzbpyhZpjkFKRLq0bTfm18mMCT+1MfBP +blnk6sF4FvRgMtw3BuduqZW/QZcFcRtKyY/Bye3NEft76SQ65Rnj4o4x8NuU +alOLfpGwZ7hSbAxeR+Wp2vTh+XlrsylOZAy0hjiF2PsxPgtvvrq/egxcz3sP +RKEF+dzPnecdg+ENmj/2DGD9dmU8vZtzDFZ8VMJ+o0smd/pQTGNAH7O9YzlI +Jw6ihuyj86Og5t2qzTyE/Ut627fqiVHQ+uApGYEul+L9kjk4Csn+NmwKw/h9 +hg7Wv+4ahSfPX3RWoI9tLVT2aB6Fx02D+WYjuL6+ld936kZB9o9b3Aqal+9Y +5NVfo2CVaugWOor7d3kx7HTJKCwX3LbYPUYnW048KFH/MQo5p/O1S9GUpKT4 +npxRiI46I3dtHM8nl1mKdNoo+M+IrltE9/8NsRD/NArfoqWYgiYwv2wTO775 +3Sh87LIf2DlJJ8+uOJwXjRqFUfaV2kK0VsKUm0go/v35orwrU1iP/tCbRf1H +YSN/1edZdI77Lv0tz0fhqadQpP80nVwSLpqWcBmFvSuR3ttncH/vaaTLPBiF +1lzTh/loU7ONAcr2o6DHYXPz0izG/8kSXw0btFSm8RS6RyXz3bnro+Bgparn +O4ffZ+ZqvYnRKDzgo2mLz9MJV4OamKP+KNSbrDtM0EOMtR5eZ0ZB/IPFfv0F +7F8Egphij49CyY4FhXG0ohWjf/bhUXDfXSXjtYjrm3klW3tgFI4ydO/4//93 +ma7c2jWmOApyrYe2f0P/uaOXwCszCpfXNEnoLtOJ2tln93dLjkLPyDeJEbSW +0tDFc5tHYdvndkmPFczXXOs07q0fhc5Xx3dsYqDIPo3AfdEC+D7zs7uy0X/H +u/eW0EZh8+oB+bOMFLmb9PrQJNsovFHYvG8QnRimeXwTwygYR75Wc2WiSF3s +cEb0+Aj0BhkdF2GmiOgJ2yamrhHwMDU/n4muMVBnt6gbgWtnM4x0WCiy/uLz +3X9KRnD+1LrRh5b6aquvmjsCVXFi95+yUuS/uu0PUj+PwKmgo8/Xs+HvIp3B +kjEjoAdJYWlotZbqd28CRmCNxdWP2uwUeWAhnbDJbQTy/+lDN7qzQSb8zd0R +WDkX9seZgyJvtFc7SVqNgNvWLX1rOCmSmrdJPdVwBAx8J1eS0dYLLydUdEZg +tI6+5jgXRQZzkjyq1UaAVdN2dyd6VVD+ynWFETASFz3xkJsiWflCuowSI9CQ +JWguxEMRuvusx+t1IzCrruv6BR1R9TXoEG0EnvK2vTlGw+dbfr7XuTIMvsYZ ++W1o78wdsj7jw7D5yd9OJzpFjtN8c/d2oVNU2QUoirw0lBbqrxsGmQOz2z+h +kwys978uHYYxs/lTGrwUyXZM2KH7bRhK7I85tKBDQbOTL2kYXJLaI+/yUUR/ +PNXod+ww+BiUFPKtosiQ3+mowKBhyPm+OPoBbRruG2ngMQxlIg83HOanyPmm ++gvb7g+D0g8tzSY0z8O4yskbw7BjxNTRQYAi/2KMFwuNhsGjv/IdJUgR56Tn +LRFnh8FswbUuHl2fF2TvoDEMNaZenGpC+P1ereSc3TsMBrdb9jegV2toJMnv +GAYt46e37VZTpPtd/6m1osMQ6Gz3nraGIpuHboYyrhqG/bSM5nforR0G7kMs +w5B65uhqlbUU0ZlQXNc0MwT1gRKn69Gj0V4nf/UPwZa1F71t11Hkp2HPpqKm +ITi9tbGYez1FfmXV++f9GgKhpc9sb9GjDZPhkD8Eeb3VRw5uoIjqlYoDeRlD +kLvjmFsdOvrAvF1hwhCo0ajiW8IU8SwWOFQVMQT/folzc4ng/vRmvWp4MQTd +uS9PvUGvxD17OvB0CFiEdIL2i1KkIWTNzLL9EPzaZNRYi+58v3pK0GIIAsTy +t97cSBFduriTzKUh0DC7Z8OxiSKHzw67nDw1BOGSLl9j0AWXV/PeUhsCl7RW +1n2bMZ5sT24IUhgCieMvz9agGXpU332TGAI5udDYG1vwfMbFJvatHwLDlPFx +tq0UqfywZftaagj6eGIPR6M5NJ1ETzANgZXHu5C9YhQRFrrs+XRqEH6aMwxW +oxOrPExzewdh1+QXVettFHnunJE81zAIpjbpoaziFJm3fGulXDUI8xv4xl6j +HZcE/R/9GIRR9XytPRJ4v+ZS0cL0QRgRL3/7Gy37z0OQL2EQsqkdTFaSFGkZ +F7p1JWIQtA92XGHZjvGvdHBn8otB2DM79j0SfUiwVIvNZRD8nl4QVZKiyLE2 +98LLDoNgsnn1k1/oyYNHX2dbDMLr9dKdFjsowlZbX7XWcBCupEYeY96J+2vA +r/9AZxAMdpp9jkDrFZUotasPAm+Vu6CiNEW+TddYHFcahIRGpkdV6CfM1FDm +9kFwe1XXY76LIs+ocyAuMgiqx9nOMslg/lB42hzGNwiyii8gHH0+8N4xPtZB +YHptu1NhN8b/gw0Lz2cHQKYoKaISvVf61CT74ADsnNakmcvieemd2e3RMgBn +bx50ZpTDeBlZTub+MwBpDr7jYWgx55O2LwsH4JKO8nV5eTx/FdW3NmQPwDcV +taYK9Htep8SETwNwyAvLiAJFjDzkNyrHDMBq++sVDIoU8VOfLK8IHIAJVdej +YeioE5++mHgMQL88Q76cEkVmSs8XLt8fAL2Af4cq0E22XfSImwOwK5r+3WwP +RTz26LrvvzYABlGxBxj2UiR//M3OVt0B8K4N/P4KXbG6fMVNawCs3bpU5JQp +4nKhckHm4ACETAUWlKPlphJFm3cPQJvZG02zfRRJMza38BUbgBVhvl8r6Puu +HHWqaweA+0qz3qv9GP/+AWazPAPw7AZ3m+wBjEetVUIpDAMQ7R1qVY6+dPRF +h81kPzgyuM2YHqTIFM/qCuneflhLq3m2gm4Yzvw11tAPvNNP+V8dwutZnw5m +VvUDLL18I6tCkaeb3UWe5PeDnAWLQjm6ltZgop3ZD9+c6opMVSkSIBvwbUNi +Pwg68FxaQZsVFG4bed0PhVFvxkLVKHLzj+/rgpf9sFc50kNWHeNdgG1LpFs/ +2HvMbSxHP10+lnLXqR+SK7OyTQ9j/hyy19Kz6QcmnYbzK+hnOR/79hj3w+Kp +q+OhRzD/0ShfYd1+MOc77iergfnIjCiwavWDUV3ornJ0WH1X88iBfgju0vpl +epQi13neuTft7oc/j67arqAPpElKV4r1w+/uRsFXxyjSmh/2K29tP4gYfcuW +1aSI1U6xG1m0fuiTZr5ajib204wpjP1wIfAzh5kW7t/7Az6fp/qAVgvJK+it +n6Ron/v6gEtO6dKr4xRZaBl3Tmrqg83jAhxyJyiSblzUkf67D2bO6aeXo3c0 +Nyt+/9kHo5EsJmbaFOGPuOVY8rUPsnlXCzCcpIhdUPqbuk990D3i9/MVuv1E +79femD5gfWR7V+4U7s/fw1mLQX3gu5yzowL9Y5Ijkv95H3xIvdFupkOR6oE7 +Zjsf9cGxVvdXDKcpEvikcJWWbR+IF3GdCUMbqKpHW5j1werEaW75MxRpE5Wm +eV/sA73K40UV6GNe5XrJJ/sgwo7r2fWzGP8fTR/Vq/UBS4usGuM5ijQLqTmz +KPVBsM5PxnB04XDiBVmpPnjL8+OH/HmKZP4a5rgm2gfq5yVdK9HflvR8g/n7 +oNF64Zi5Lp4fZsWecvY+GAraQ2fSo0ifZD0f22IvTK1qqwlHz1MBPGqjvcC5 +bSpC4QLWr66M2sedvcCxyt6sCp2n8srqx79ekFl7dbeFPkW89vqVs1X0gtHD +r0tMFymi8GRiWjuvF248eVQWgS4fXt8Xkt4LX64nhSkaYD6RMYnpTOiF4Nun +rH6hP7FIiMi/7oVd7QYHLC9RRHm6wNDtZS+0L9TyshhSxDfj1eUGt17QWPnW +FYlWecwmKne/F67KCOQqXcbzz3wj0udmL6j8+hfwG12hKvOv/1ovqG/iuWF1 +hSLfc9MqtC70gqPp56OsRthvnTF68OkEXt8MW6LQwnvC2lep4vorVRj3XsV6 +s61s2UmhF/ocd7dWo6+KGlZ1SfbCyoaXxNoY65ddzpmzIr0gsmwcy3YN44ft +rHv+ql44ejnONRrd3edvpcjeC5SzrqWyCUUmwnqWEhd64H7sPZ0adOZQwf6t +oz0QzkXfY2OK51c4YltUZw+YzfJv4jCjiHxc69cN9T3A8tmLOxa9wZh9KqKi +B1Jv2M/su4791j23v6I/eoC6+7uzFn3TsfbS24weUKGi/9w0pwj3hhtuOxN7 +wNe+LZ/TgiLx74tOZ0X1QPEABjb6qI3RtyOBPfA+9Vv8AUuKsFNpRbUePSBC +6UfWoX8mqdw0f9gDxofMA25bYf2PcU1Zut0Dwm4Dz7mtKTJtxewXZNYDDls7 +XN6iWav2sckY9EDGpVOPDt3AeGBM4a841QNaN2Wc6tFPbvRnWB/uAYPXbo53 +bCiyP8ZymL63B85sP+NAu4n9ocvXrNSdPfDqfIDDe3SA9BUBg809IHBV667q +LayvAl0rLKt7YMjH8X4DWvx37b1k7h54ILz+sf1t/F5S3x4bMfSA7GkFN8qW +ItK7JPhXTXVDmkWhTwI6YsfbXYV93eCcUBmsfocikjH5NQ+au0FU52RME/rS +fgFGxT/dIBt95JOjHUVu9UqkjhV1w936tGw+e4qIfA3s+5LbDWwHI0oS0b4L +A7G3krtBmb5Yf8QB+89NBU1y77qhxqtmoAX9vj01dC6sG7qnxVbuOVJEm/ls +dd6LbjjuP8ovcBfX56ns6f2sGxgi5Ld/Ri8ksOTq3+sGd71x1WP3KHIh+YSF +pE03iLNsN2hH52z98mLBuBsiOhvsHzhhf+JbsvOXXjd8VeJ4KXQf60e3str7 +E91gcejLlyT0rcHYsseq3VCx/3el1gOKLGXEFl9S7IafN21GOtEmno1K+6S6 +4ddadz7nh1iPMiZWb9jYDfFO6xXWPqLIOx/v6ysC3SBWI3UxFa1edEKsi7Mb +XpplPdZ2xudP/HeqYrkLom3z4nvQ863NXZkTXbBqz9HqJ48pYm7H2B3X2wWd +s5pL65/geYkaPBnY1AXOkyWSGejpJ8dF3aq74Kh1kZ7OU4qUbCk971TUBWbR +au796Jk+wbFbuV1w9fe+rGcumB+EmkYskrsg61Bqv8gz7C8YqnRM33VBrVSC +yFf0S6WIVdfCu8Dlr/C5s66Y7+Sn5a75dcFuZz6vITSf/YtUU9cuML/+LN/d +DfuBf+v9LJ26gLXKYWmTO0Xmuk4V377ZBQ+me/fkovMut128b9IFOcIN9roe +eF4F3TXc9btA0FU7bRTN2zzrGXSyC/bcUJl87onx83pkyzv1LlAXSlMQe479 +wEYx/q97uqAI4u8Cutn4nG7lzi5480Hkm74XRdac2zvYtbkLloWEmCfRXP/8 +/qys7gLvwy+0fL0x3w+u4d5A6wIHu+cBEj5YX/z8/JWZukCpi735Bzo+L9PU +YKYTeP+xbzf0xXnN9JTbo8FOOOj93HEGnR28dvxNWycUqfkV+r/A/dhW/77s +bycMKq9dvcOPIkXCZ95NlXXCtTQxi0L0kcuag5vy8O9H0nON/ClS1fbsrk5G +J9TtKOVbQP/zK9N8ktgJGxONzYNeYn7e1nU5LboTPD44k10BWF/DwjL6gjrh +vdWmdaXoLwHppzZ5dcLTncfsTQIpwtnDIGnwuBMOy0z+XkY/P3pMNcS+E06k +ism8CsJ8e+5CSK1lJ8RNN76QC6aIZtaypJBRJygrrxurQP+d5Jy9cL4TEr81 +nTUPwe/3QJPhtVYnHCXiWUyhFOn55qPadagTPjyZFY5E7xeMz5ZW6IQjajqu +Sq8owvTb0tJpeyesVt01/BtdsyHhVLFoJ6x8C7pgHYb9B6+SxRrBTqiccSlg +C8d4z+tLt+TqhC/S87tj0AnCIfKw0gEzMbPR+yKwv6SEOgWnOuCCvzPfX/T1 +vQfzbfo7wG//C5dbkXg/s95fJS0doNYuPsP1miI+vMPc4rUdcPqHpvVb9O0s +yTtupR0wvn6q/VAU7keKA2svdECp9HaD/9DZZ5Pzjqd3gLZyX41dNEW2u2e8 +S/7QAScfyupQMZgPH5qkro3uAEMltooE9AhHWLdLUAdsjDc5fjiWIsbFiodG +n3eAOv1kWTM6xG197uXHHbAY/+PEvTdY75IkL1XZd8BA5o8q/jjsh/zURdSs +OsDY6eS5z2hO/ROMmUYdUCBt9t+xt5ifd0mwSOt2AI8gl3EHOqU1R+z98Q4Q +tFYeePiOIrHHhkw2q3ZAjO2M/Zr3+L4sb0iUYgcom6sypaL1Lxcoie7ogCiv +NX7a8RQZKNxbEr2pA5g3PBTtRZ/eN3hn6+oOkLhwM+lpAkX8y34qfuDpgDPO +I2rCH7BfkkrmlWXqgIe/lv5mostpYQy5M+1w9XmY9ZlE7Cc+WrMeG2oHhcGf +zEPoF05CIn/b28Ff/nGE+0fMx5aummb/2sEytkRx8yfML1fj3WYr2iHZLrY6 +F32C62aNd347bOvnuqX3mSLr2kt2b/naDhWqzNQ4WkvqQ2TO53bQz/b64v2F +IqFsTKt149ph7cu40+JJeP6OFESMv2qHCxwnp/LQOYGdO/1ftIOTgUfYpWSK +/HmoV7LbtR2USs+qzqAjxVbZ1Di1A2NgUp9/CubPRK71927h+02/DtiRShGb +n0pVombtYCEjeqgIrbTT37PYoB02P9k9eDUN+yshSvPO6XaI2PY3bBFdlvqB +Z+PRdhC7Qjseko7zJ+PlP5X722GXZd3i7gzcb78tEc6y7XDKVT6pHL3v57Sp +rEQ7GI5sNb2eid9r6M+uHuF2+NETv54pC+tle+ZsJH873EgkfyLQHsbRoMuJ +67ln7aP0FetZg5cL30obOPt9PFaNXu98T71ysg1mpJ+w3sjG+WmnxbJ3fxtk +vezPZ8/B/uGbQap2axvcmO91iUXb25y5yvu3DWLjHhw5kIvXu59iry1rA4Wq +txz/0Ny/zseF57VBeZZJhe03zI8MFkommW2gGvU1gPYd5y8dH5D+1AbaeXEG +8eijY0X7FmLbQMhwm5g6UORGmEhiSWgbfEo6ONqEvlQdwhPm2wY1c0O5dwlF +ZP5TvmL9rA1uOsp78efh/BBMxao4tYHA9VUGn9G3MkRqhG61wSl2jx2aPyji +6Xh7cti0DYKDglY6/u9tq5hKDNpg++l9NY/y8fse5V6MO90GuQ73PqwtwH7U +2bzt6VG8/xGdp2lorVqFZOMDbfB0HgxO/cR+SeGx5WE5vH9NsWI/2lD2PI+E +JF7Pa8XvWkiRsYkfQTTRNvg89G5MtAjf58E/1imBNrBOePA7G92t/9agmasN +5J8MppwvpsjZqr3BJQxt8C91OmgU/aXmXVrGdCvoPAp38iqhiK7EcvrbwVYI +F2kw2laK88386VfB7a0wUp1+LA/95HK6oee/VlCtl5K9VEYRgdF9TI8qW6HO +5oDwDFqIZ97VrqAV7H73c74sx3n/JUuvdXYr1ByUn91RQRGe07fFrye1QvPk +2t4i9Iizrvq1d62wUTai3riSIveYy5SvRrSCvWxO+RLaKqqb5+rLVtBWcMwL +rcL9e5iXZezRCtsdf2XK/cJ55KXdAbNHrTCoUPSlEr3hytowK7tWaPpikGDx +myKWIqUVtpatcG2TbxxLNc5nqTF1941aoaH4ckwUOjAkJ8NNF9+voyJK+Q/m +7wo5y4ATrWD8pSGqFp2tID4Wo9YKThYeMbdqcP8kUrVS9rTC3MmaOO5afN+4 +KfsC6VbY9xoS3qFN9Wi2/7a2gm6gVpLqX4p0PVx7cHhdKyjY2Gc1ou0ZlOtZ ++Voh0kLlh2MdrufsCzVR9lZYU5BYseofRRSv2Y/bzbdAZXbmf5/QC/dzZj93 +t4C+l0nfsXqKOHxXCB6sboG7tilzHej5zdtLdkILDH6K4Xb+D+vFv5YXtokt +oHBfVnRdA56Xhde92SEtYLjaVD4dPfIw+TfbsxaIhr3HdRqxX/p7VVP3Fj4v +KenaAPrR2kXthEst4CZR+tCtCfunZxVNK8daQMvE7dWmZszX1ltn9BVawCO6 +KyMXHSauE5q5qQWs1vfW6rXg/FIYA2voLfCT13d6HH1q0tLq4XwzTH2vW+Pb +SpGHXcuvurqbYfDqz/2SbRT58CtZ8/SfZkhV0jMuQP+k1d8l0Aw1D3w8r7RT +5JxCmZjcx2YotDFPmUeLrW49mRDaDOmavY1BHdiPRtwa3+zaDP8dp3Hu7qRI +TORfevTtZihOqlMsRy9b3ojdeBl/zzhqdr0L558r/olxWs3Q+MowhKkb/74o +SmKHUjOYhKwtjUQfOzyzOnNLM3AO3l/e00ORXdEzjkd4m6Gv5pl8DdrVk/Fo +3WITvPOVt77ZSxGX1Y4u1n1NoK7r9ZarD+fNkzlSrH+bwNfcs/Ut2sRA9mDM +jyaYYdwlrNpPkSE31a8qX5pgg9EDg0b08R2nwjvCm+Dv99vhjgN4fop/tHt6 +NMErA6pp1SBFtgyz+MrZN8GQ7fmNn9H9+s7hrVebYJXqYVPNIZyfPkVw+p9s +giTmxsROdEtn8d/D+5pAd3rDpPMwRYqbbzEuijdBlS77wfUjFJF9xOSRIdAE +Rkbhnhno5Z5BbMGbIEen/u/pUZw3LkXHKgw3QqBJntgQmlbtIzf/XyP8rjvr +4DFGEYli8XU/ihrBuMeveMs41lOLtnM+aY3gVXV3A4z//99DpdsNYhrBpILb +9uIEvt8ON7LTtxG+bdAqmUK/VTEcZrrfCK7zcpv9J7Hf6JOybLjeCAxvSh7s +mML8YGkpm3muEdjPctcXoQW9Xx4JVsXrNeYUr03jPJcvEntXuhGUsgOCl9Ej +Jc81Lq9vhKf9/828msH+6MT/KLjvcCrfPgDghGzO0bB+iIyIjIZSuaOMskck +lZGiSBRlVUhUVmZEkREie6/7sffe2yFCkpWG6P2+f36u+zzrHt9xuS4GsmoM +o9hnV8flo7/YCVWaDfPDP0Ywwz0H3An+bL7SIzQ1gq8pYxG735B/deqe7+kY +wbREWSD9H6jvPVYfMZePYMcDN38mgCMz/+TQpo1goaJKS8VNqC/NzfdTR47g +lNS6jiGwsldKJ9XTERx2wl3R+S/0f22GxTQOI3g4eSKTtAXxofTbIOPVEXxc +fG1fBvjKmd8yuy6M4EWqwnC1bYifzduVAvIjeLfNAaZpMCPy85IWHsEJMRe8 +Hv+D+LHjv4fK5BGcacu2xUJFIvrX1N5d2h7Gk+k6pZfBkzcjfzh+HcYKkrdc +UsFnd4a7Bw0O429MpvIb//+9WvuhzLphTH1T5OdZahJxPK6HtSt3GF81bSwK +AXP6Hub8GTeMLzKec50Az1s9Pr8vcBj7B0adlNpBIiRuqCRqug1j5Z31225g ++p28+z2sh7FVSGt1I9jrcmhDpuEw/qqZ4beXhkSUP0PBn5WG8W+jG1pWYNfS +Ihc+aXhe289dueBS2hBvk/+GMVX79ZF/4F17LdOjGIcx3cO0RC1aEuG5v2Zl +eGMIH51ttIsBj09rGu77PITbT1QfmwdLL0V12XQNYcngCGp5OhJxlEfZJr9y +CFfTnm3zAdOPTO+lyRjCV4qbo7vBlSM8o4bRQ9i/QdJ6304S0SfqU5jmO4QL +dG8dtQcrKFQmUTsNYTNHT9pycKWNTfIVC/i92r1eRnoScTFUqKhUewiLrygm +G4NzWwIHeU8N4Tn/2QfJYOZlDQZP8SE8fPTW+TVwYs2/c1/2DuGXLA3/KTGQ +iFFqrUA92iGscohqJQgsIDg4UbkyiH2Ld9ePgtsiVU9KTwzi7UbaWAlGEmGe +qvguoXUQDzzqvOcCTnK2pucuHcS16w8v1INzj95yDk0ZxM4am0K7mUjEYuPi +LFvEII6Ju/zXAlzXE3M5yHsQ27FH9meBX/EJdpAcBjF38aecLfAXzgNnI68O +4uGi94EazCSCRvxqAb/GILaUvHc7Gtxvc0f44/FBfOiwgPoX8BwHffBx0UEs +sJAqepSFRFzbPbTWtGsQj9mz73wKluUL07tGDddP6M92gv26Zj78WBrAgib3 +G/hZSYSun/dq8OgA3vrtkGYH9iniPSzVPICfTGgElII5b1hZtxUNYB0xWgcG +NhIh9IgU5JA8gGW+RxsagfWXepP3hg3gHRdZFZLAs1TWn7DnABZ4cG3fKljG ++1Girf0AvuoQSH+GnUT8cO/w5bkygBUs3nwPBM9R7zFqPT+AH998NjgC9mGm +J3nJD+Cqt9rV4iQSMSBilndcZACnC29kPASbrg8ornEM4Dguj6g6cPGkZE42 +1QCOfD3ps4sM65PDzei41I+3KvffswB3xZqqHBntx3YZKuZZYBr5bKs/Tf1Y +7ZGqzhZYjan/Rk1RP36iI4o0OEgEw+MAteDkfqx5ZkY6GnzyVhjDtbB+/OnO +U8Ev4AC6jBRpr35cuE61++guEkFkvN5Pe7cfy61dpX8KVuXkdh+50o/Dfd9s +dv7femsZBRf68YvWwmX+3SRC9PZCUejxfuwxlTtrBxbQqHlzT7Qft80EjZWC +1TTOGl7c3Y+V1y/0MewhEUV1MtMKO/qx0MEvbUZgxGGgun+5Dy+mXG9IAodQ +HD3Yxvuwx3OiahVcW3XR529LHy6a3yo/s5dEhMs1XvlW0oefzvOWBIF3Xg+j +paT0Ya5knsJRsACjt9tARB/eo/AnT4KTRKRsmlV0Pu3DzXWluS5gS6/fLa2O +fbjjxpXcenD2DG9yi1kftpCfyN3NRSJeroWrtWn1YYFLZ/MtwRqah3O7Tvbh +/2aeF2aD6y/UTw+K92Hxv1kl2+CLtPwjU5x9WL20uEKTm0RMOTG//k7Xhw+d +Tqx+Az4nYb7331ovFk+42zgH9nZaMiZP9eInO/k7jvGQiDvnX1wW7ezFH/wy ++33At57Q8ilW9uIFZcGJbnB22JF3lzJ6cdnFB3P7eEmEQ+nSqPObXuw49mnV +Hmw2wzAY8bwXC/9s2CoHB9aZBBU/6MWPiVpG5v9gP8YWb49Z9eJao6S9JmDv +1C2xnQa9+Ev/TeEU8FQwNaOsUi/OusZy+Af4b/nb+GvSvfg6c4TyWT4SYROV +8S2IrxcP/qYyCAFPkhi/VzH34lI1XasJsLttUOLP3z1YkuPpAyl+EvHvKjeT +zFwPTn0Q/cIdLBnvK2jb34NVQ8PeNoE5tvPmUmt7sKK3Yy6nAIl4P/Dk2nxu +D268frjxBvjSqSYvyfc9+Jjh0Hge+P4eB717wT140uH6BvU+EvHAy7C19BG4 +v4tNF8w/ZbxCZ9eDrRKFD7wDr/w2xQaXe3D+mqnyIjhM+ezRJPUeTD3z8KqC +IIlwpCzr/TzWg2PDXVyfg78T6ru1RHrwU4Frkf3gcTVp9+RdPXgx4UC+sBCJ +eDH44hnVjh4sdmqw+x7Y88dpuWvL3diK4c4qAX5/R86zcrwb+wp/4WDfD+tl +oG0v2NaNpz+pHrkKLn/quulb1o2bqvyN0sHO12JFv6d14/2PCl1/gwV045dM +oroxeav+rZowiWinu6vf4AvXX6uojgDf61zVlXfuxv44em4azEXFOZ92vRtL +nLrCLidCIo6pN3AL6HfjjRVaeU/wr63vlMgz3XjXdphZOzjG+vEZsnQ3NnrE ++OI/URKRSjY/EsTXjWcDbuTdBh9SflrOytKNz19IHS8GN/ANDAT/6cKUri4m +ejEScUFY49nu+S4srzQlfxHckNJREzPQhdULhm4kgk3vXQwVqe/CIxeKw1fA +oafbv+fkd2Ftgce16ACJoB4/OHImsQvH6hz8EQhusLEw6A7pwnG/sOgo+Bmj +pfFNzy78XP6UiYQ4iRj7Jzj7174La4nHB7iAT8dFbEdc7cI0X78S9WDkmhsn +q9mFfaIFNnZLwP5Qs2/sUOjCrXonJa+DZbzwQwfxLkwni67ngEv03mbs4urC +VIYHY/6BC1z/3SjZ2QX15b8erYPw/APjCRY/OrH7UDlrLPizm5wly+dO3Ols +qb4AvtT6I6GkuxMPNi0/PS5JIp54C1ndqurEQavWhC84jZSXxJvdicdYGrd6 +wYOcidc733Xi8KPkU/ul4PdHluL8Ajtx8Yuz7o5gNcOQS0oenVhV1KwM/98a +LwK2bnfiIwes/rIeIhF71nsUyk06sXCGvuIV8EbWXctH6p34coeE18dD//8/ +dqY7lOQ7sW7mYu0vsL5RJDe9aCc2uhnFqCYNzx/al9KxuxOz7D6kEwHOf7GZ +9oamE9/r/RQxDeaR1FHu/NyBNWo5x2RlSIQVRYvToboDm1HZiXiCPZd+du6O +78AFyR/t28E89AZ3Kh914CNdPcX/yZIIeY+bC3amHfhe3BcaW3BMvILqvhMd +2FVqVqcE/Pjb4OPBvR2YJaojll6ORJjkaoRGrLdjur+JCxfBvQXvHht3t+Nz +D66fSAJbxI4r8We3Y5v9bC9Wwd9+cg/PB7Zjj31JQ2cOw/dMXlMptW3HjC9F +DgaDizUrvYLPt2OGR6GPxsBhV84H3hJrx+x7v3YePALx1JjjpjpdOz51T1rE +DawQLskkOd2GaTLN3BrBbfc/Pdxd1YZdZt079x4lEfuW0jKo49rwf8d9xG6A +b6ETKWsebTgduzzJA6fw3b+xcLkNb0abDFIfg/NV6DAzc7wNN0+LyumCZ500 +RWb3tuGZksmAd+DrvIL7v6634oHjfnOL4JYtprH17lb86BGPykl5eL8JMT2a +nFYclfQm4QU48EfEo73BrTigmZ56EHyrwMn80J1W/IDF0lz0ONSrc59/XtBo +xYu+aYQTOFWeQdlOHMaNxgVrwGN3qE+H0sP4ayof8gkSoSyyPls+04IHrUlf +zMB25nSKizUt+NsUq0Ym2FLS9My+hBbMI/o76y/4/vH/Fi95tuDHWt17NBQg +38U7oMhrLVjzQbRHNNgvzuv44KkW3Fau/fkL+N411z5+3hZMnF7VPHaSRLDW +ee++/bsZD+/xKfQBc5xqXisZaMYFFrSCPeA7Ux6ObIXNuPn0/QDBU1BvzTf6 +W4c34436zl93wZ/Kxs7U3WvG+dx8NyvBlo+/BonpNeMX+pd6WU6TiN8z+52C +pJuxbJD3WVOw0XLx0m/WZqw4H5OXBl7hHv97a7EJ83gmCf/6/++rGmLHm5tw +4N3YSFVFWI/j6a3GaU1YuPcpYwRYay9+2efXhJ2bLz+aBtM3KvQZ32zCrfaC +q7KIRFR7GH0cP9eE2cYHrD3BfQ4aDLf3N+HiI4/H28GWYYbfflM3Ycbg3UZ8 +ZyBfUDKMgyYb8V/GmHZbMMv3VypiuBFXVJHVS8HDVIoFtW8bsUiPSzWDEonY +vLmadNOjEatd7jxtDP7q+42D1bQRH3DiKk0GM16+u1V0ohH/PqUnvw6+yFRq +ac3ViKW63AqUlUkEeyubEu/PBvxCK+JICLjbLSeyp68B32+Pz58A/+abtXiV +34A1Hd4ePXSWRHD3rMTrhTVgWx3/Ig+wdASPPue9Blz4/LZCC5gnN+U+RbcB +6x4/Wcl9DuoLRQpNtnQDHnXbUrYBB/9ip37K1oAz7XIaC8F0Q49uXf5Wj69I +GOvQqZCIvDznk8da6/G+zqV+A7C91lnnven1ONTNxSwBbDFweM/mi3p8WnV9 +bhkc/iCc+7NNPbyP5X2kSiKeS+V7dqnVY5Pc6u1AcPS5KfUa0Xrc7b/HfxS8 +YHrXoYSuHv/+eZnroBrUw3MZP/I+1+HTu8I+uIK/XvvWn1sD/lNxtPH/4w+f +chQm1GGxppG6veok4sze2g8VXnX4Suyi0Q1wTQZNaJN5HTZ7tTyXBxZajeoe +QnX4ddUX9x3nIT9IDd9c4q/DBzW72fXAH0oEtOi3a/EbzeykOHA3UfVUeKwW +a054KSyBWR/wMKqW12LffWpdpy5APhH2GbGNqcXZklS3/MFeMpd/R7jVYql9 +n6iHwab//TavNanFMpzaMQc0IH78riD9PF6Ljx6aPvoQrPNnJ/0hrlqs7mXX +VQdeFT+sfOtnDZaQWrizW5NEMLkmEKn9NXiH9hXm6+CK+wWeiwU1GP+rTssB ++/9o8zwSUYPPmfGfp9KC8+evjT2danDgc/t5bXD9jTcKXQY1ePx13su3YNGd +e1dEDsP1ad8kF8EHgkUpjzlqMN/wf50K2iTiKqsc4+hKNQ5TUXJ6Ac7VibM+ +3VWNtRlMuQfBywL9fxKyq7G14m0sqgP9CQOqYnlVjW1p7950BjOHnC1xu1sN +8eQWWy1Y6LMWZVEb7pdtUsShC/k2vEn++iG4vgNZWID3KQuVjbFW45klXpZs +8D/eultXvlVhh4NLRdvghUwB5YnWKnz4faGVlh6JmPaMV76ZUYXd7Zw5YsGx +9EW3VvyrsFWaRNUC2L2sp8DTtgqfdOp3OKEP33/NWmS3RhXeP+8i+Bwc9GO6 +MF2iCt8Q5ujpB5PUym3UmKqwmHLCMxEDqP9Gr5/4Mk/gd9fETziBlTR1xPyb +CPw7IuVbNfhu+ZrM4TQCX6HlSyQbkogT6/WGE88JTFX/wsQc/FL7TEiwDYGl +f34jZYEZ2Qc+n1Un8Gje+aYtsOpXGu2/YgQ+y/XWW/MinB+JMy3F9AQuPjN3 +Kga81stcuNqOscL5g7/mwaKa8T/dgzBe1rqZf9yIRAwpHb3Eqo3xDttoRz+w +cUxN7wdWjD+W10r3g6UNVG+rt1Xi0WtzS8LGkO9NSvasBlTi1ju0WffBhid5 +exM1K3EjHbdDNfj4jdsJV1kqcaSyqBz5EnxfbuojgdYK/OqM5A8zsHvVoOW8 +fwXu5T1YkgnufLytXaZRgT2WhR5vgUcc9qEI5gp8c3jXOU0TEsEbeE7mYUs5 +/vNjiykGvEByFrDwL8cHzCjd82Ah03JGA41y/Fu2Mub4ZRLx1FdkUZO5HL99 +GX7DD1xtgWu0W8owxzMrmX6w4e6owEv+Zfje6UN/hU1hvzcTqrc1ynB1x0rj +fbDFbY3Fp8xl+PilrMhqsLy3pntySymuWr15g3wF7DK43O5firXLuI6ag3sj +d16g0izFZ9tr6bLAzEzfn55gKcUn1WwHtsDsD9Jj3FpL8Dtllo+aVyEfQriv +CSjByqMpj2LATdYkk91aJVhYRlF/AeyetfbLjrUEP7ncIXbiGonImRW0bWsr +xgIPTbf9wBmVZRlHg4qhH5zq6wdTq86UJmsX44ifVpkiZiSiNa4qlI+9GJ8L +m/JzApu5P5R921GELUJMLWvAknZS4cKvijCFtfM0hzl8zwBLcZ5uEa4QPsNj +AX7wDb25QC7CHSvpP7PATjMr8vNdhRiF7OrfBucd0g0KDi3EtAIPC7QsSMTR +xRdvThsU4vXC/ohYsFlXu8narkJ8wlnu4Vdw8zXdpuzeAvzR+aWJgiXEr0al +WeeIAizQO37qBVjXfOCTslEBLsmQFhwEP/FX4+PkLMDneR/tFLsO3+vWKLs2 +kI+HTjYsOoPvsITP9UflY3MJtt5asNnktGK1ST6O2KFfvsuKRMQNrMkW8OTj +gsnQZEtw0hwVzhrJww6TncE54Nyr56dzYvNwLx+LO9UNiMezLLFlV/NwQv45 +ax3w3P3A2VZ+GCfcDN+Bud6zEjMTudjmWqbyN7ChSqfIzve5WDFtQvbUTYjP ++L89hyxzsVQFm5A/2NDjuP/V/blYvPDkrmHw3Xt2z8I/5+CVrJt04tZQj1Go +qXuSc3BkffCvh+BYmXObXNY5uGdP0WI92NPniePNAzk4sGSUsscG6vMX1BZl +89m4pY1q0ApcncjdwJmejc/Z7+/IAw/+5HzvbpeNmwvPNey4Bf2sms7irFQ2 +1quxIvTAfyKFNfPGs3Bh1tPSeLCW5u3XKRZZOO31+4Lv4Ni9fAUfP2dipdeV +OYq34XlNC3Hl1plYrHk4MxBspuCjP7bwCctrbmSMgtV/vGtgsf+ETU6QMw7a +wnoxLv++sJKB1T8dzHADH0mW/fzaKQO31Kh8agJ/9BbwWvuZjjeizLK47KCe +cXVpueqeji+ou+Zag78FbVX0b3/ExLfQwkIw+9Y9g2veHzFHckYZ3R34voNx +vut0H/G+l/VVhmD/vxf0o1+k4aziycZEsMMv5RxN1jRsqbnZuQquqjB8xxaS +ivUt9g4r2cPv2/V2T+xOxRy75D6/Ag/Ts7NVRqXgB4+0v0+AqzLNfNP/S8HH +y203D90lEQNBAi4p8R/wnq8vGB6D/8sSG88R/oD/iqTtbQPrvzXOa05Nxs+f +N4n85wDxoi94dUUyGccc+nrUFnz+SG6kWE4S7jzMplYKVruY/Mb2aBKmy5cz +YXSE+E/S+11RkogHmi/ZXQIXZ8d/4ldMxArhnp4p4D/nvXIDqxPw+4MfIzbA +1aVTO5jVEvCuT33pKvdIREhfYXRky3vMf4SmJhxcdmnFUUb3PX42KjcyDdaP +D/Ad7I3HbNVW63L3oZ/WedIdZBKPVaii2bzBW2Ov3n8oj8NCeR3iXeDFkKZf +GvXvsOQGg+o+J8gfsp/iWTvf4l0z567fBTP6KAV/HYrFr2KeelWC2xbDS2em +Y7DH0bp4VmcScU6xiOvvtzfYtJ2x6gpYmLY67tCvaPzXS28qHcwR26zyaEc0 +HrCNpd0En+XdoJpjicJjKQtiFx6QiCUZ6wZ7ztc4Wu+UZjQ46oNaMFkoElf6 +hDjOgf+pNWp3SkZghqsLr+UfQj2tw/X3o3w4ptpQxb7ge173A98rh+ELtilf ++sAdr3f/ztMKxVWDzGQRF6hPu84cnboUgkdMnE46gVMrTh+XtHqFrZkoN2vA +U00Jy/sngvAknX4YhyvEU+3kAdGNAMxl00BYgGtlxDgsWP2xrabS92ywPuNo +QLfwC0y0Y34qN9hPFM8j7qf8cCrTWR0dcMSl4R+XDZ/hHN4Wz3dgpqiyCke7 +p/gJ36W8b+Aw+l8u2McLZx1cmD3lTiIEWRcPPFd4ghksvXgDwLuTlP5s27rj +iRE+vRGwn+cAmn77ELMVYD8JD6gPpNJ6jnTex8sM1tgVXJzTHLy2wwGbru36 +1QieFY6LVbSzwR3B9bJcjyB/HPjbfbfHHA/+fmxnDV7qNFpaf6CP+bROpxaC +mX6zjU6rSOAjydQzdI8hv9YIhYQ3qKEEvlahi+CQLo71ODZTtKs71iIJTJx1 +DJrivYF+jd1/vwYm24hJvs2yQ7uv6k0pP4H3iZlmOyN4DxXdPiocCnbYnOtX +WXBGkUL7rCngM2pauyZzXdHVeHK6jCeJKHx1YJ7N/RFy/se4/AQsv7Nc8dZ7 +T6RhynisA+zG8sZtzzNvVNPB/ojfi0QUsSQrBNj4IJILX90dMNdVhZA2DV+0 +fFeOrQLMbE68Gjr0HI10a19i8Yb6Mu2lRjb5JTItv5doCh5wnO3RW/dHDOrv +vn8E23/gOVXZH4gMQrpO/QHrUN2I/FEcjIg8Fv/zT6HeX3X94972Cs006wxH +gbPO/Mq3rAxBZ1ffSMyBwygEjXRWKFJRWXKX9yERf5cnv0/GhaG3E+fbfcGn +zK95u7wKR29GPwn2g/cOn6794RmBvhjzPBB5RiL2eD2pvOQYiWbtglucwFnP ++NzeW7xGDPKsQrXg0ZMkqk69KLTRFea6yxfy5/fzJp+VohGzyf5uS3BNb0nQ +uOwbNPOl7GAu+NXkhbRKwRg0HH3Vl9qPRDgemszxIceiWy8ZpnTBVGpXc2So +3yLJvnLFeHD56XfZ1ctvkXeEW+x38Edbr2KFyXeoYVZpU/E55M+Gga6ojjiU +95nDNAhs2lbsbW8WjwI/fisbA1dQs2fSDMSjcYNuPqkXJEL7lcF3f+33iOEv +4ekB5hmZvUBf/x69rCz53AKOvSpe53w6Aa0Ulp/nfUkibF66WQ7kJyBbquas +22DHjKNikpKJKL2QsrcULOiUz+mUmIh+r9M8YfSH+uSUzvEsniQ03S8zdwms +r34lcCwkCSU+tNFPBX/9cYj3H0Mymlj9WPETHLWTe3aXZzLauP5LXC0A8qP3 +7VXen8lIY1b3dSTYGTue47T/gI5H5NPNgjUnXSbpZj6gswH7nY8GQryga2n+ +YpoC8/F2xgesYpFFX9GdghSJ/ca9//egXcyz86lo+XBB0/4gEnFJXuWlEpGK +Ll7VP30frNPmPrh8LA21G2/mVINjunRehn1KQ0OK2WIcwSRCLH87UVz4I6qW +cnxnATb/Viue9+YjWkKKe3PA356PCMiQ01HuK85gqlck4mCa28t4v3QUfXKL +QRf8uXPwDu12Opow/f40DsypcqDd1CkDrbEs/VsC6zXEZn1YyEDnbv/2UAyB +5xXf2Dtj/gntDCZvBoL1c7J3cg58QuWRx9zGwAEnP/qc0spElbE2fyRDScT1 +L+7hF2sykW55irsHOHxLW8HyRBYaI61vtYATs8+7WWZlocECLS/eMDhfjWqS +6RzZyLI+n84W/Kzz/eI7rWzEfE3cvxRssKHsGfA8GwlEpZOZwqF+Vz05f78m +G30LPhltAp7RiBK/uJ2NmsyHBNPAvXnWZ2VO5CA60Wfpv8DCOwqP0znlILZN +xWPqEdAv0Acz92bmILHNndWvwTaDfyti53NQoNKY9hfwlQRGfTPhXNQ6XzV6 +LBLOR1FFE69ZLmJiL7D1BdvuFhTrjs5Fka2Fm31gpKRg592bi0ZONwSIvIbx +aPYYSfY8xPN4lt8ZPFiQXNB5Pg8Vp+7OrQV/kqGutPfJQ22Deqq7o0jEmyzh +wp04Dy2Jvxu5Dvb9So6P+p2HjhT9dswDJxS3PBI+ko92x1ox0kRDPSqsp/fR +Ph8Fr42/1wc3T7//TyItH10csjmZAL70uZySOJ2PHG129K+AjfbHJXDyFyDJ +8nRHpTewn8+pWjy7VIAmvluxhYCpRD8JfAstQP38hzImwSzhHRPabQXIxIpe +QyYG9subD4kf6QtR3MjywhOwvKzkHSrlQvQzbsG/A/xO55Kirkchim9dlxKI +hfnYKcT9prAQjXiwd9mD3Zee/BtbLkQ7WhWcK8HHPazXeA8WofN9D3jY3pII +meS2DYMbRWglr4a4CjaxTmb2jStCR54K2nwCq+dOHc4dKkI3r70ibYEP/nng +OLirGDWYk0o135GI9L/69b+0ipF78nurWPD9eOsju54Xo0m1c6RFsDtDUoVY +dTE6ev1X+ck46A+mf1w/9rcYPeeovO0P5nfTFEfHSpCyYwT3CPjyVii7skMJ +SnzzuEkiHuqF7QIu9LEE4TRXNzfwoHW86rHPJWijxFeyGVzmeSpGjL8UOcwm +T3C/h/hBus+161IpenhhIOwWmOaxFPErpBRJUvOeLwEfb9ILH2wpRZ9FHP8x +JJCI33saI3PpylBVz1DhJfA4dm7yRWVoQ+Ti3VSwThQ6dNG1DFXKTx/4BW5m +ZGrgyytDl4R9ptUSoT9nKo6YXCxDkzuPx70GV7tJxr4VLUfpf7ZNv4Dnu9VH +Dc3L0RzPELd8EolgW/tmvPNNOcr2rh/0BatybZJye8qRglZDVD9Y5rYu4yXW +CtQTMWIimgz591iL8i/VChT2kOa/B+A7L8/jUM8KRLCiiTrwAcZUT7HSCmR2 +PyhxzwcSkUmqfl64VoGGa1ZsboDFeu8NIalKJMRzS7oA7KEZ7lRzsxJFh6xv +0KZA/F36Z6oUX4nOqYRjQ7ArTVBIyVAlstNVf5EE9pXeyym5CyOZdpLhOvjP +47tLUZoYlQx9EziXCvul4S43lS9GKkETi2HgmOWv0RYYo7qds6XT4BubxY4V +vzAqv0b98nAaiRDnvtjFyE2glWzZy0/BCtLnOXOPEojC9fBgDzjI/72/sT6B +7uR0bQl9hPPDpyb9x55AvyKUuu6BVacFad74E+glpT65Guwexc0gn0qg81kW +7hzpkL+D9qCuWgKp8nDoW4LZpLZSbSgEmjo9KJ4LFvAoVN3aIhDH0fwdOzLg +fJWKcQfzVKGvPB9G9cDxPPKC/PJVqI4ps+g9+HZXk9lHgyoUItAatgLuIGr7 +DjtUIQ8nKkelT1APZbP4lAZUoWxhDZ0Q8KWPz2wV06qQpUbGIQrYMGRXIK6r +QvdohNllM2G96qPnT09VIRWb3GVP8Fu/Ta+S7So0Hm7c0wkOvchrLMdbjbST +dhXtyyIRLuYjt1Llq1F+zmyMA1h7jq+M17AaaQ12ehHg8ztrNQIcqtHew902 +pGwS8YUx678/AdVIbGxB1xycfB8fupFWjRJXeBSywWitz7utrhrl+lsKU+XA +/r/QzX14qhrdrq9i1wWn8YSvR2xXo5Hy43/jwDSv/uza4KlBwi8b5r+DKW8/ +uxjI1yDN8/aDKBf6ZU8Z4UyDGuS9R6oxGHwnpHzvToca1M9IWzIB3jxwU880 +oAZdVVr7KJ0H/ccQU9+n1BrEO/Dn7RNw4GO/hK3aGnR6lie0A1zxqbj0AqUG +zb0w8BPIh/Pq5MYfsVWDBMaSHt0F1yynto9y16L+P2zOGMwnLdAqeKwWoe2Q +O+wFEN9Dijmt9GuR645D1mbg8Sad3ET7WmQvNG2RBXYTxrGTL2vRZdecq//A +UlGTAzwptUhWKPqyTiHsl6RAK/2aWsR3/M2lOPDHsLizfhO1SKg/3/g7WHzf +d+eSzVqkwjlvjIogPypd/DvHWYdS98qbBINDP6UN7DlSh7S+vzOdABvJ1TKc +0a1D+uX7zKSLScTL9x6vrO3qUEFU+fUnxf//e0Da3YDndehm3L1bHeCyccGU +zKQ6lPJV2UGghERMd5TJtxN16GmUlMtdcFOgltDX0TrUQsh5YfA5pwxrut91 +qOyJvj97KdTXIpkMfHvq0Z3lgEgzcPdRsZ1ysvWoTmoqIQscL7dofk6rHvXr +62f/A3M/7OI2vFWP4tzGKnXKSETP6kdZi2f1SJ142h4Hjq/WSLN9X48aFVUm +voOP/efndb+iHkmThVZQOYmIVpQpcxmqR/f1eWhfgdXGuYzdf9SjCL5DXJPg +sYJdRu7kBhQXeFVKpoJEWAusFrtINaDsitSznuDq9888759vQI2N7Kad4MdX +4z7Z3mhAn5tC7++rhHhYxq5k4QUekQ10AGPtlJOGbxsQmedbCgHO/Hr03bmS +BqQWV1tDwlAP2fnfkutrQN6+xZPm4KKpB+/4VhrQ4ELjdja4/2rD6Z2sjUj5 +yw8+agK+N0dDffFAIyqORIp64M36rsqOc43IZvcHs/fgVroDCdnmjYjTXdx7 +BUwTxbsW5NGIBmeakpWqYHzRNfd2VCOqu+vXHAL+s8FOOZvfiHIOWy5TwOz6 +H5/wdDaiBs3LnHLV0G9w7Ale+tqIfvbdRd7gVwr/kQj6JrR/IcGmG1zs6k8T +vL8J+SWthQrVQLxok7ptippQtYBl5T3wyN32cyKmTUj44dJCNdjqs3z44oMm +FFsXxbWrFuIf7xGTnNAmxCBqoXYdjBUCw+9nNqH7eWoP88BO6yxqh5ub0PBz +zVSaOhKh8Z+H4/JME5KoujtsAGYTTdqdTt2MnB/msCaBHfi0ZK/zNaO8erLy +OpirGDVynWhGNU2vHp6rh/ldPDvcYtiMMmMOZYaDnzEI2ng4NKMbxl9nPoMD +7727JxHQjJY5G/iPNpCIyBXvP30pzejsr6pLz8DKXhFUT2qa0aldo2F94BG9 +2GciE81o7emeTpFGEtGmcvVl059mZHTDnvUBOJbuHbvt3hak3T2rUQ+mExfe +yyTXgigzj/33NkF/9jD/3QetFrRYeqz1JtipbNfHM7dakLcdG1sROFd+54lB +nxYUsWenHn0z5GdJXc078S1ooZMvwhjscKzg87+yFpRbcnE4BYxmfu14NdCC +qhY+7fsFvrlvPIVvrQXxPhG1UW+B/ob+QG8qWyt6E4Kzo8BTaVHPZSVa0bnT +rn/mwKJeq3VFKq3od6yByolWiPcJPwNOWrSiihbtkBfggHmb8XKPVvTk8+3x +IXD2IYayk1Gt6NiOVEmJNojvrJH7i/NaUTna6eEG/nKuh0uuoxVRFT9rbQZ3 +zj+JSVtoRTS+ovy87dC/3bqSwb+zDZXUzjnYgisZDmiGCLYhquDW2jLw7yMJ +7tSn21Dtvy5ulg4S4Xfg5cm7l9oQs9zvu1fAL33eBQzfb0PpZ5QbMsCtPm/v +ng1uQ0mqnwS2wDd7VGbSPrahwWsKrlqdEH8FLy6x1rehA0nzPW/BUcHP/e9S +2tA72TLpJTBH99uK9r9wf6GsAMUuErFeoffsIFc7cnhVtxAEXgwwn352uB0l +vN4+PwEOYfMbHNNuRyn6lz9Kd5OILV6vG4dvtyPN0UFmT7CeH5O/77N29FrH +zb4TvCtk/PxAfDuya1Ds3tcD9UtAcYJIeTuKuiYq7wgWYDCIdBxoR7Iysm+r +wJl5NiJlq+1oy8iMlqOXRDC05+nuYOtA09+y7SzBP2yXuNTEO9BPdtH+XPDS +967HL851oB8DlWdo+khEYyTn0yazDjRi7p5hAJ7/6iJK796BvOpMuZPArrqZ +t5QjO1D/PnO/dfDlKw5a7jkdqCPw+ca5foiHBx5257R2IFmxvpsRYJoPbr9n +vnQgBgbVwRkwRS6a4k/dicQ1Ri4cG4B+v0siaj97J7rKHFHpC2YubttX+l8n +qrh+//AAOFplzF1HohPx3X2QJjYI5608P21avhMZq7/b5wL2Fsv6+EClE6kx +fY1qBC8biz1hMOhEUx1XOLiHSASjootYtHknYs5fC7gFfub4N/GAfScK68pi +KAW33mT7UejeiULOhjxjGob8/JiB99yLTqh3omhMwXFL5/Z2Rnai8eBa73Qw +7uX7cjmpE9HF76X5C77J/i3wcw7c3yHIR3ME8tsdFuY7uBNN8EjSvwUHpPdd +W2/tRGfKvr/8Bq5lTXjhNtyJuO2G2BVHoZ8XbfH/96UTWanPRwSBK898vPH0 +Rydaui3ANwG+rxnFuZOmC4UsuSdLj5GIWa2l936kLqS1tH3IE0z/i5aOgb8L +TfiklnSCU7mOKvkd7EJSbS4qguMkQo5/wIjuRBeSmLrb7QgWCDmr6q3ahaLG +A82rwa3Pu9m3DbqQ61j3d44JElGgMprnYtGFwn4rel4H08QVy63ad6EWrW5y +PlgkAQfc9uhCG+sBSbSTJEKxSr2a8qILMTPdPX4RzFaZ3mP8ugt1pLi0JYNb +fqKq1qQudGg+7foGeKbgiv+Z3C60OrdjU5VCInglTeTycBdiq34a9hrsaR9Q +KNzWhfSDJaXmwK1yWlwRw13ove1Ww/EpEpHjtGpMO9eFxh03rr8Ay2d0O9/7 +0QX1HCf1MLjj2rl7Ezu6kaO1RZzENJzPpbdaGqRuZB/Qo+gOZgs8ylDI142G +Ve0nWsCXlCwSBA52Qz0u6/XfZxLBJPLwv+fHu9G/WT7hO2Au2rYH31W60YMd +hxsrwLueFOdcNOhGlfyOd9hmSMRuuuC2UvNu9MpocJcZuF/vQzO/fTcaqLUp +ywJzuRukebnD9T5CVlSz0A9Gfr01/bwbHc2mY9MDJ/XVsJyL7EZfLTlK3oNV +xGRDExO7kWeR+o1V8L//nv+hzulG/Y2pHGe/kIhEPz5Vs8puFJMjVxUGlulW +cS5r6UYTAbMOn8E+Lhef7x3qRmbOtYJH50hEe0b8E4dZuP+z1p5nYDNnd9Om +tW5kOLTt2w/+QznxnyB1Dwp/aXpSbJ5EDCxLVz9k60H2+VPLD8E7/8vRauPt +QcWO4SmN4GJExoLiPch4zMGMewHyV3LiXudjPYiLw4XrNvgXpcyw4WwPIiQ+ +dpeCGQYyXLn0epCaMn0Q81fYT0tNz2yu9aAH94MvXAEXb95wLbLtQSJDygyf +wG+6egzpXHsQe5BgwxbYTeEml75vD1L8dNBPexHyT/3d2rdhPeianoV6HDj2 +l7LJXHwP0oqoZloGK3HJDchm9qC5MJ32M99gv8kFK7qV9SBGG4awEPDn3ozg +qsYe5CP57dIUmNlptJm+vwfx/N0SOLwE50XbYVlzugeVrCjMPQUTvSVUIcs9 +SOxAUk4vOKmM6W/PVg86XHrCQ+Q7iTgUmz+1h7kXNVdvqj0AvwpiKDDi6kUV +VxZ2N4Ddp43vR4r0IpxAN825DP1E+xpfn1wvKs7SyrUBF5+QKuA404tevav2 +LgGb/TA8oaPVizZfWBkyrUB+yCn7+PJyL2oPOCxmCs5QzGWss+5F21XSm+ng +1IXnRttOvQidM+n8C7bb8yrkmHcvsj+U/UFrlUSQT3OV3QnuRUYxRx6/A+8+ +5tiTGNuLGpJnjb6DR3i+Dg+m9aIsm3qZM2vgsr4ulqJeNLTdwxwC9hP3Kka1 +vWjdm32OAl7LPxXs2NWL/rG71smtQ/+xYWyUMN6LPhGkpKdgBychtu6vvWgx +q/9pL7j+8tdCqt+96NavZiuRHyTC/ge13qGdfei/gm+qD8DfJQtGL+/qQxVU +SKIBzLbH8LLvvj4kvlHJxrUB45pSzdlSfUgs+866DVi0IlhyWKEPRZzXGCkB +e442ee1Q70Nnx4xrmH5Cfcsp0Sx+sQ8x+IZlmII/zW7T6Vr2obhr25EZ4BOX +I4863+1Dk15R3lvgL6WKJtEefSiPyfKu9i/ID2sqjuUv+lD9LtOrceD12d+P +xiP70K+ip5rLYJdjqU/+JfYhEY7RU0q/Yb4q3z0QyOlDgqetDoWCGZckritW +9qEwg/8Ep8F1h96oXGnpQ48daPcc+UMino+d4Hcd7EOxmf8xPQMf/Wb0LXym +DxUfuEHVDxaZUczLWoX3/T32U3QT1vO8okPTvz6kdspv+SH4AE+C8BRLP7rA +bLHQCJblLer8zd2P3nrZznD/hf3+s8mJJNaPNko+UG6Dv5LEyKJH+tGpDo6J +MjBbE88HBaV+JD2aNcayBe93f+WwtnY/ytp8NHYVLKf3s9TctB85qz8azwSH +n3c5ec+mH5mMfZr8B6a3IAq8nfvRkT72z7rbsB7XeCVCvftRy4XEufdg4z19 +UfHB/Wj1ks3SKthm5fiOzNh+ZM9j9uPsPxJxPSX0ZmlaP9r30W8rHCzvLFVf +V9iPGoWmds6CF0MNBTtr+tGZOHuyPBWZKFY0cBnq7EcnFaT4noNPxDi1UMbg +eWz8EkPglw9oeOcX+pGTvNJxCWoyEVF4wfr7z34k2hGp5g6m+ReevU47gD4t +819qBe9klPr5izyAxguHbvHtIBN3zl89+Zd/AD081eBhD77O6/Bo++AA0o39 +8gqDT1dnVfw7PoBOryh8INGQiVGvm3//qQygzYtV5RZguevjJ/7pD6AnM269 +uWBPI4sHW2YDyLbU+hsNLZmYlD6R+8duAL357kd/EeyXmPVtw3UAzcWNCH0A +V71iE1/1HUDkWUv0E8wmHme1GDaAdozxXVWnIxPnqdPjZ+IH0O04Fo9ocK+L ++9jYpwHEqy4duwBWLDDh7SsdQOsrzypO7iQTfZ1Bl1saBlBuEWkyAFxQeD2G +6B1AEvkdNONgfn3B8XzKAFLYUXNAmp5MHIgl7U9dGkAx5QvanuCtGdfbbzbh +/tuqD7rAtFwf8v0ZBlEAZeCdEAOZcHk0Ru2xZxA1eb1tvA8OdbXRtxUaRH6/ +X6/Vgt9pBX8wkR5EOdcbBPYykglZ9GZb9dQgYhg5qGUNzuLrunz4/CDSdatz +LwbbL7mX8RsNottXwtMZmcjEbNTUPsbrg4gvNmr0MvjWmqb/6t1BJGzYzZYB +7rbbsTnsMYiM4pSUt8C10Rccql8Mooyo2QfazGTi9pzd19TIQVR+uSojDvyp +NdsuKHEQOVJ1Ty+DjbWurt/Lhu9J4vpPmYVMzDwv8TaqGEQLFhEXw8CvM1mg +/RtEKgbqrz6D2z3e5vMMDCL7MNnWo6xkImgk99LmNDz/tB6jH7jHMYx2ZHkQ +JdumqA2CV74/Ky7ZGkRSJ474ibORidSGTqfXTEOolfjZ4AbmuFR6wolzCOny +rTK2gsfpXtDrCg8h91v7tfjY4XlfvcclZIeQEOEfYg8+fXCpklZxCNGfOjiA +wWp9pLSxC0OI7xc1P5lEJsqqZd4WGA8hJnbSTUvwnYqwmACrIZQTczErD6wR +8STJ0nEITRR3/6Ylkwmx0hPF8o+HkJ6Xn4oReDGNfoDZfwhtsDuFpoAr9khT +T7weQt5PoiZ/gXM314/lJA2hgYV16QscZEKh+J2Ld84QyrJ74RkDvqrqWK9f +OYTmBYy6F8GSczn7hFqGkL6AqYjiLjLhfybZb3lgCOU+i3INBqfvf7VZ8XkI +fb7D1jEJLo4q8ni5MoSSVstF5HaTiVNTZsxG20OIcijp0VNwK25L2cc8jBRO +1/b3gnNcVPQXOIfRx+N8sqJ7YL4fMDPnCQ8jmlNZAQ/BPUPXu91kh9EXC7f5 +RjDrWGiqkuIwUql7rMazF/ZX5GggvcYw2vAs/2ALrun38W41HkYFWYfpK8Bh +vh2+r6yGkZndZxs2TjLhdI0qxsBxGFV0tbeYgZ/zmeI9j4fR2z+r0jng+aP7 +1/tfDqMaar2IHVwwvxyxJ16/HkbiO+Y3DcA3jzO+MkoaRh57y64ng017Pv3c +nTOM/EwaWjfAySJtDt0Vw0hxllVenZtMbIt/3AxqHkZaA0EJ0WDleb+oCwPD +6LXaBfavYPNTaWp0n+H79M48OsVDJvYw6jHi5WHERXZcDAQnU1WPPdwaRt/i +Rq9MgNneKNZJM42gY9xP22V4yUSlOyMxu3cETb62UvIGC++50R67fwRFH/Mq +6AEHFIUt68mMIEXSkITIf2TCO3xAdOfpEZSE7N4/AH+svudYch48ocDdCK4K +TOm0NRpB9Mwqodx8ZIInv+gc3/UR9HL0JYst+CLPTFvb3RHEeZfleTn47jNH +u0ceIyhirImWjZ9M0HW82yf5YgR9UK7xNgMLaGQuDEWMoNMlv6hzwCeKKM2+ +CSNI4spt7x0CZMLRya1KLmsESaly0RqCzQtL2sfKRpBA6A6/ZPBW0eSqX+MI +mrkszvwTvLdC5pBs3wg6WRbwSn0fxJ+YBc8hygjaapPkfAMWi9D56rk0gqgz +GeO+gk0U4u+IbY4g7gf7D5wWJBMSwXwMbfSjiFnJLTcI3PkfQ5nj7lFUKc6m +OAneFRrvu0dwFNFrTDTLCsH1t8Rsi6VGURz+dukp2IN+zOaywih6kHBirhfM +VEjtuak6inTYalxE90N8aO/LjjEYRez8L5lcwMu3ozcVzEfRncWgt03gpsgA +8yG7UXQjvEuWVxjm+8L3iQeuoyhPRr/BDrxxh9ptl+8o4h0lXasE29TskM4K +HUXxOawb7CKwH/47/O983CjaaFEPtgCL/e1amE4fRTMq1eJ54J0T/KsexaPo +loJbHa0omWDWNdmzp24UadY6WBqB7dMJw4yuUWSwnUyVCuZVCs9WHh9F5jQ8 +8b/Bp0i7xAcXRhFaaj2jIUYmnK08Ku1+jqKpocqpWDAdD7sjFe0YoqZ8f7YE +vq/ApBRGGkOe/OYSZw6QiWseGYdE+MaQ2Cf2zhBwQ/sRhULxMTSVsv1gGhyc +SrmuemwMPRCXEjgqDvm1ciW9T3kMNWvGNPqC61wSOax0xlCW5Pn7g+CH149G +rZiOIarPxwQkJMjEh6yZU49txtCzQKtWd/DbpFUqJucxJHOu260NbO/25nO4 +1xiqE/KUEDhIJl7s5Z3jDxpDvOfsRxzA/sm5zKlvxhBrTWxgNVhy9J2OTMoY +8itlVtotSSa+1fLlF+WNoXMqZT9ugF9M2J1QJMaQ8uP09CLwgYWmiZrWMYQ8 +Ry0ZpchEjNe9FPWhMcR8U5vXFBzKmvSqdWYMvbtA3ZcB1puPidFZhfdR/xG8 +DXb2ed3YtT2GdN0lNHUPkYlXiz2cBszjaM9WPGMCWOtJ0IseznFENX+pcQ2c +tIeW30B4HP0w0X+uIk0mhnoc+7pkxlH27cDzr8GLYbuzdU6PI7ljTCzzYNGl +A5mt58eR+EBjh4IMmbBd/NqhbjSOQm2awgPAYQxv9tRajiM1OhbTcbAhg8MT +xbvjiL3xlZCMLIxzf2Qtdh9Hgy3GX73A9L0+hMzzceR40KKgBxx95VRUavg4 +aqf+5CkiRyYeS7JGCLwfRwW3Tmo9BFuqHy6K+DSOeB6z8DaBl1oXtplKx1Gx +yb4FnsNkAufftXtSP47COB+W2oH3fdn6t9o9juy6SQGVYAb5rpIbE+OIP/nb +NdIROG8WIm8Gvo6jxI+shy3BD6WOvVf/NY4athwY8sHHJFBHMe0EsivhnKA7 +CvGp1V34AHkCOf2iLjIGdziJvY/km0BVfdKv0sAu6Y9UaCUmkKTd+9ub4HXP +ErLjsQn0tN9IVesYxNMje3eOKU+gfmnd/XFgu+12IXUdcGgg9Qo4p4PfJtd0 +ArnysFOU5WG/NZzp57WZQImU3qpwsJ793Ts+ThNoP81E4ix4fXZGatFzAs1H +S/kdP04m4tLHOQ0CJ1A3Qdi+BDPFhx8siZ5AjaFReqPgtS2lW/wfJlCORMHx +QyfIhLynYJd37gRST9wr6Akee3bn+mzlBIrnrGDqBofrme873zKBPBNSf+xX +IBNSqkcY0gcmUN+1IYozmHR7Py/L5wn02FqnowG8PWJtYrc8gawGmCq5T8J6 +5Z2safk7gW40MWfagoss7CQjaCeR7SX9uIr/2+MUay3TJNKOGw9hP0UmEnkO ++qySJhFVSfYzC/CJLcOQfZyT6CbR6JYHdvzXf0SbbxJd7hR1pDtNJj7/abN3 +3z+J+mhabIzB24FGKFV8EmU5F1ikgQ/5BH7olZ5E+Mys6SZY4UVwEtWxScTk +edVYSxHijZTrCclTk+i2Nq9hHJiR2vqGsfIkKqoX0F8B98U5H/BWn0SrNLZ6 +ZxHkj1dV3hnak2hj35ZeBFhX0dqp33ASvT/eb/AFvF/o6da/y5Po140NoxNn +IP8ny/KLW0yiipqrpv5gBd7gfj1ruJ8di8UYuHuySNTtziTy9NhhI61EJn4e +b2RLuA/zwXrGwQusYzYa1OQ6idQU6lx7wAPPSCnLTybROf5QHxFlOK+/PI05 +fSeRSu+HVw/BTAXn408HTCKphzTvmsAr875e10MnUa9gagbvWehX4gw3n0dN +ItXv4eV3wEzf21kz300imz9NbRjclUcu6U6aRJzX1CbJ58hE7L/jWxsfJ9GZ +o6zr18HpWebDPDmTqOcNL2MhmCs3SVexCOY37Z4Agwrs/+Z95hYVk2jdg0P+ +MvjRyDKDT80kspbe1MkAN8fIaHxomkRLI5K3t8HbvZuijR2T6PXblGe6qlC/ +C9nHzvdNIqFg24QE8KBaYjrTKKxniwuxDt4xVWh4cGoS7bXvmFBVIxNUrrWv +NeYm0fGQu1TR4BfvvjjZLk0iEV0Toa9g6YWTiy/XJxFRF6ByWp1McNePbqX9 +mUQUFqbbwWD2NzNpjVQUlHKmK5gC3v3VcXl2JwXNu08VHj4P9eSOt120rBT0 +euj0xDNwlrK3ltAuCgp3mmYYBI//O2WFuCnot3XPYYkLsH4Wc3uuCFBQZjur +uQe4uj7O0kWEgrxqQgPbwTbqjy+EH6SgVxaW5fs0IH+Lx7VlyVIQUeOxeA8c +Zce32CxPQTvopvjqwD5Hdn+YOU1BKmdCdTk1oR+Ie7f57ywFhbwK9LkFnnkz +sMh9gYIaSL0lZeD5k8Ouh3Up6PPIjWVWLTJxxK4qQdOIgr6wnD1gDjanS7W+ +cYWCSittLXLBIX9SGx9ZUpAuy2QMrTbkp/0TdRE2FJRKih8wAjPr3DD7ZE9B +FbPpu9PArapGEbVOFOSXRmOwCeavbbUecaOg5fspoVo6EM9eTveveFLQhvnr +njhwl3DBFL0fBSX79+xZBbtfueLPF0hBnWxXTM7pkon3xFqnXBjML53su0jw +vqGIPLVoCpp+qf95Dmxx6urhK3EUlFdCHDypB/nsqpWuQzIFrWa4OwWCcxrr +mHzSKSj3ydPKCfCBmRjL1zkUNKo5yCinTyYQPfWlj0UU5CDtZuQDlk9j/1pe +QUEeyreS+sGjtFO8HTUwX/HJawcM4Hl+oQuTTRSUfkP6nDuYYnrSeLWDgsbT +d0a2gTuLNyxo+inINujgvIAh9AM/x5l2j1KQ3oF3p++Be/ax6QtPUVBk+LWw +WrDfjXfyR+Yo6MiS3cLeixA/e9LKzi5RkIRuk/ItcKbLhXH9dQpy6bsfWwYu +cX4TZ/EHxqPtfrIaQb+Un/fvLtUUkirMMzAHXzuYvf1o5xQKVjufkwveak+L +9WeZQvo2UiQ6Y5iP0NKhKI4pdOewuYMxWO/M34Jkrin0o4bSlQb2KXoum8s/ +hQaO5B75C3ZucdWsFJ5CAu+7orQvwfNl53c2S0yh0f1ntuPBfSXL5n0yU4hp +cMtqDTy2mXZ58tgUShlkalMxIRMyhYfWF05Nocoz1seiwBrBUVI/lKeQzsFd +7xfAw/uo6f+pTyGrPDbW05fJhOCGlyeDzhRiXDdxCwY/jznyhnxxCskx/Jij +gN9HyBnymE6hTabJS0dMYdwkIlPIYgrZcPI2+4KTzR+kSVhPoQfqH04NgaXY +vp+TuwPzU+KVffAKmXBo4PI6cX8KZfp8EnkMvj/Fcu2M6xSarhOP7QTXl34e +UX0yhb693ti1/yrEC++SP5rPphDeszvQGawSkFSq7w/3v+xN3wguYcK8l0Km +EL+X0lOea1C/SAnxX309hQqS9KjugOu5vlRZvJ1CBpO5jzF48p8o/c3EKfRH ++8Y22Qz6I8qfb7fSplAF860nVuCldvcHd7Lg/WQrqYvAa1+r4x0KptDwiNUz +RnPIDzzzdvfLppCqyFWmK2AeG/oR56opRCue8ioTrPzp2NeHDVNIcMdZLmoL +MnF0OPita9sUymiReW8Avjt2cNWtZwo1xTsc/AA2fbB/3n1oCjnF7ij6BZZ/ +EeztMTGFiKHZsxqWZGJu/Hmlx8wUarnP1/0WrMR14K3H1ykU9uyDxTJYi9OX +32NlCh2X8F5Vvk4m7jmXKbv/nEI1Hv+j0L7jqX6/AICHaInutUpUZsiqjEQd +IzILpVKir4w0hKyEKCEhUpRZkYykCFn5SGREQ8oqxXVd8+4Sye/8/ny/3Hs/ +z+c855znPL16FnUHndD9Y0XIwjDY3t26loZeMiTkH8w3Akvu8pfsdMP6U3eO +DFwxAh9SVU0S0Nttxrb6C4/AcGl+/xC6v/v1NV+xEdD6d+HCNncS8UVpRZj3 +evx+1u3V19C1Q58kzsiMgPnj5YVf0VzTHYc8N4/Axh0fTFU8sH8y7XacVBuB +otOTI6FoT5Udr5y3j8C849Gr79E5+/lojnojICsjLS/riedPQUfFQRgBk4Ht +Lf5ov/TCzftNR+BCbrbXW7SeZcUuC6sRaLp9XEjyFIlQFlw2a2w3As7tPi/O +oi3/VR4yODwCTi69xxrQwge/OWofH4E+79tLyV4kgqR5i0f9JFrk0VM39EDD +tI2i1wjc8Vp5tAp9am4ZbDg/AptuvBFYeRrPp+V/PosFjEBSSvcLJ/S3/l7h +1ZdGQDBb160UvTu4gc4XOQLlzQxR3jN4nrx/4z8XPQJ3FRZbDqKXTy3JYcSP +wGSva8hjdGfaDW/qrRGon1uvMYf+Xhg6MnB3BPTzVUatz5KIecmphQ/ZIxD0 +KzEzBy1UyKxvzhuBRwIWDiz0EqlHcjVFuH7mEWHTc5gvOzZoPH2G8ep+1Z6G +ln/h/+NB5QjMNIfETKB5LQjdO3UjIDqK56s3idj3eK127OsR6LXiLk1CB3vc +6Q1pHQELsRfNw+gWxX2y57pGIN+pLUb7POZ32FGyy+cR4N+lbRWLlmB/LLDt +H4H4j7+FB9DTiu9GjX6MgK826YuaD9a334m2bdQR+Hw1MisCvdE5/4Dc1Ah8 ++Wru0Y1Od6qIEmGNQK61p6aiL96XP+c58c2OwImFwflgdIda/ABrYQT0+Ita +O9CXKq/wDPNRwPVyV+oGPxLxsjmn68MKCrCjLT180eEP5owbhCmwVXeD7ht0 +4IMi5xIxCqgWW6yQuIDz90SLTMZ6Ckj/ezfohdbq9IiPlaGAoVXB8zp0wpEH +2QGbKVBUMhAj7I/34dcJR1zVKBBp6Oniik7SMqnZt50CIhutdlSgSRW9TTv1 +KBDtFkNeHoCfP+seoAgU+L1FauYoesB6yXuSKQUKk1Z0lKBjThIf/lpS4F3J +/sIlgRjvl3UhY7YUuJI9E3sA3bVZsPPjIQqsDKd65aM5Nc1va50ocNtT1/oP +Ws1qyZlHrhRwCPypYR2E97lHnyoTT1HgYjNFNAed1nqgOMibAro+RvNM9OEL +6eYn/CnQmvx7eE8wibh8pD7RPIQCnqbL3qWhZU52h2lG4OfzfSon0Nv02GJr +oykQ9n77w10XsZ+kbj+8eIMCPoO2N5PQz5SLjajJFNCmvQ0bQY/m+PS8S6OA +vNC9czohOO9EpZPLsyhw0uuN83X0w3D4czeXApvFLO0G0UnygdfDCylQpqpi +qnGJRBz4fbDpZCnGv8Nt5xX0zmusfPMKCqwSnNPsQZfvdddSq6XAnpUTSkqh +eD+paDpDaqSAwU8t2UvoAwbyNtwWCmx80i/VhVY3yurtfUcBpeiBtTJhJEJK +11So7hMF8uN0xf3Rnx22zWT3UqD384zoW/TyTZeCI79T4NtlHjHJcKzfau2S +kxQKbHp8XvwcWjoiON50ggJt7nrrCPS/WkfxzQwKKHx1lha5TCISY+mWy39R +wFn8h6wHWlnRVmV8ngLdu+uVq9Hpdckv2nhGoebMr62CEbifoe3jhctGweHl +DX0X9KGQNe3XV48CG8LMytBvX1908BIZhVbpDnv+SKzvUKl483WjsO1cwIkj +6Ly7Qt6bN46CvUXo+WJ09k6PeX6FUUjvHLr8Dz2mpqdFURkFLbH7yXZX8H6T +nLX2teYonNGvz8tDnzQvLMjRwc8f063+jf6g4UcJNRiFP0lC7y2vYj5sEXrn +aDwKb38ZU7PQeXIpLjrmo+Bb8PkfA209IZ5D3jcKqo1Na/dEYb1rl8bNHBgF +Y6c1Wmlozjdf2XbHUeC/U2M7gZbJ9fd45DIKb6Jfe++6RiLc9DoPRbiPwidr +pcQk9Am3ZPbRM6Nwlnfq6Qj6y5MvBtq+ozD+evVHnWicr4fKtgkHjUJGYQLn +OvpciH4PLXQUOj+eWfcNrb89Wv71lVEYO1QAmjFYf2EFmzJiR0HmoInnVXTD +XFXbhcRRGKAYJH1B9yu1b7S+PQqH5O/UKMfieRzHkZVPH4VJNWtqKPpWsnX3 +fM4oCEi7inxA76gc0+x+hN8X/Gokd51EEE4D+kXFo/BtbbFvIFqKYsCJeD4K +B5y+P2xDq7yQOXq4ahRusnx6pOJwP2VyzqnV4+//cl3hgz4X0a7O1zQK3VEv +djehL66vzuptHYVrVe4B4jewX8pE1JR0jcKposASL3TWL61rVz5jvILHqHXo +1cTUwqH+Udi0+6XMmnicZzPr5Lf8GIXnYuPHT6K3dlX/+TeK65MMyahE9wT8 +Cf00ift76kz/igS83+FY8og5CiHr6yWPo1VjbicG/x6FNJvzTs/QMmslpa0W +RoEieSWHL5FEXAnVOSrNR4Vb2dyRQ+j32f9M6cupIM1pUy5CP0iI+UEIUeGr +zqLPAnrpNqryLVEqqF65U217E/vZXQ3Zk5JUCGbG8+Whg+KC27ZvooLc/dF9 +v9G2q75sXKpIheuFORmWSXg/mXRS+LyFCmTl2vEsdAKPbH/uVipI7dyhx0Tv +ld+5+4Iufn9WPG5PMs6X62vsjHdR4XL44cE09IGmSlGSCRXiaX80JtGJVXti +hsyp0GL3L2r3LRLh+z64sGQfvk+P20AyOuWZ56VLB6lw9Kba9lE0VVJxwfwo +Fc6nH4nfkYLz5a1WdfETVHAmU6k30H2fTq4ZcadCFPmL8RB6KFDwYekZKhhX +Kt3fdptEfFr1deSSLxVk133/dw0dqNDbszeICv6Hfjn3oUk68sEiYVSov+5L +qN7B/Rl53/79ChUcu/bLRaC3ZdM7C2Op0ADJMd3oDd1pkf6JVDj1R3taMZVE +vJkbHN19mwqvxHcfDEF7RXfPLU+ngnJ5YV0nWr/pJvEphwpbJ4IVZdLwfiSn +qJv5iAq6X4uT/dFev4uc3YupUHnH+N9bdFvyNl3151RQM9p1dv1dEuG99yPx +q5IKfNyMAW/0k2MZ86/qqFD4ztn6NdpuMW8s+jUVCkauvRK7h/NDBO+1fa1U +CHMgbfNC/1jW2i3WRYWgXTyP69DFrSs+D3ZTYU+Vg/SadBKhMzNwLbePCkbf +he6cRLfG2I97DVFhrFNVqApN+xj5T2OUCsSD0tiVGSSiqD2smTtBhR0BaUud +0Z+Sj+6uZVDhy0lK5HN0loyqV8QvKqy7nrqEP5NERCQLmJn+pUL4kqcRR9B+ +3QufV/COQeSoCu8TtNhPBfGuZWNw/8Dqa4vooxW3VtxaPQYnPRxWHMjC/TE6 +UuogMgYmenw389HVjnHL1q0bg49j4uJzaDeuAXlwwxiEJSRl22RjPv28+j5b +fgx6TH2UHqBr5vzgP5Ux8FStLOeg44Q3uMppjkGWk6uheQ6eJ9y7uqPaY7CW +5d+Vgd7k/LshX38MHJbPHKejvdfbzHsajUFvTeeM8X3s5x0l40p7x0BFQTQy +Ff3MQu3GuPUYDLs2ik6gP28eGiq0H4PAmz2Fux7g/Y78dczryBicbrE1TEbX +lSvlKjuPQYDc9l4KOuDeGGn85Bj8agz13fGQROR7bdYq8BqDG/VqgvHomKL5 +FZ7nx6Bzq1nBEPojOyhFIWAM1He2mG7PxXmyufTDSMgYOLNKKNFo8buVjQ8i +xuBTwEJUPzp8KsfDJXoMlH+8UFTPIxHDuy83SMWPwbz157ZItMKc57u+5DFo +/3rMuwctHnAuITVtDDQyrUSVH+G8rJPLeyBrDJorcmtDH/0/v6RUhXPHQNDQ +ze0DOrdyakVHwRjUH0oQks/HeVFvc2b00zE4KLaxJghtqz00bPQC3zdtnWcH +epSk9P1v9Rhkz4aKbXyM8eIRS6xqGIOEgxbNfuinFtUs32ZcT0t4YAt6VlRJ +ULVjDCZPSytLFpCIlZn+/aMfxiDJSeHbOXQcuex4zpcxcKlKvdWIHkxh3zky +OAYjqb4WYoV4f7WwvkoaxvWJV/J4oX9Zv1doHxuDu/ZutXXoA09vhl2ZHoOV +HqGBa4rwvLp5P24newyKz/7b5oZ+NyZqw5odA7UrE4wqtHTb4pvCfxjP14bP +VhWTCHtZf9aJpTSwMefxdUFvX3WtR2IlDdZrqm4vR2cfN/XuEqaB+53GXwJP +SETUxta6KDEalKQ01h598v/zclPjzvU0eGCmeuUpusT3xCXGJhrMtvFY8pbg +/aY1Y/KRIg3s9IxFDqEPrxolHVOlwa5n098K0Z9F988Ib6NBpOXSogW0y9Op +iDe6NGiTiw6ye4rnxcsPbcG7aPD48AWzR2je7tVtqiY06OF5J/4HHfmlMvyH +OQ0EdyfRrEtJROrp7xMp+2hA2UzU3kd32qWt3nuQBqIDx5I46CUmHOofRxoc +vHDSw/wZnk+9y4KeuNAABL/uykRfrabUO7vT4HZjpTgDbZmUVbvmDA3mnvIy +TZ7jeT2+x+e1Dw1MGDXv0tBSZ6cHLgTS4N/9ocJJdGd04T/5UBoMD/rEQhm+ +D+VGb08kDaobvE+loNv/5ntFx9BA3b3PYgx91nZ1mU4Crpf2TFW/HM9bl4/P +qbfw8x7cNTfRq2/ze6XepYHDXP6vYTRxvO6raTbuR0PzN50XJOL4juX/OLk0 +KP5o1xKHNgqfH8gtpMGItdWz72jLGwW+9qU0aLcuy9hWgfPCG5mGJRU0EJmO +jo1GP71w8c3TGhrcsmgL7Ef/YTdGOhE0mA+76KFeSSK2xK/+vaKFBoxHaYev +oH1veMtXddDA85uc5Rf0T+nfK9w+0uAXbNitUoX9L6v68ZqvNAgZj94ejm5R +b12oG6RBMve4yif0j3ktQa9hGihF5MoqviQRISbkblEaDeh5h6VC0J7r/eyJ +aRrkXQ6R6ELHvfWIO8OmwWZVQVHZajwvVHgvif+hwdYWQXIgemXWIfnGfzTw +8woltaOlyYHRZ5aOw8jWY+QNNSQiI9HvgdjKcVDULxT1Q+ducQ5oEB4HmQce +a1vQnTOWvF5i45B8OUVaspZEHHtraU5ePw4mLA15b/T3tvN7azeNw19RA9XX +6D1tHYsnFcfhFt9LbfE6ErH2nY+voOo4DPflGp5Gy772yXyxdRzKyhetX6HL +Q75FOOmOQ8eTjqPkehKxgtK6YemuceD5uey0B7qrf09gsfE4aJx9EVKDPqJx +MsbefByUT3+MF3qF89FLbfs/NuNQ+cv5viv6uHHXl5wD41CtdryiEn00Y7eY +meM4zKq861jZgPerwLurp5zHwXXlkxFndHTadEOy2zh0jv39W4aebtivqnt6 +HBa+v5JYRuD8lv3BfvD8OAyuYm0/hv5vMHJ7ZACuJy7VrhTNrxPQpXBpHKYD +nvjwNeJ8o1En1x6BntiefBhtHXNqu3f0OCzhVysvRmu9v7FAih+HtT/Sviyi +xbN1r1Qkj8Oyu/7zB17j+0WENR5JG4cC8yaZAjRX6HztfOY4jK+OsviLpjVK ++2Q/HIdCvio/2ybsR2oZQ4YF49Bu6pSVh46tm10xUjIOqowLbbNoVcZeelT5 +ODRu+PfL+g3Wv3H6TcXqcfhvek7hAdpAhmfy7atxYAWdPsT9/9/nE3i83oyD +W791rEUzzivy9t0r2sfhkebD2iz0T0mXE0XvxyEl9TSDiY6Xaimw7BkHcaV8 +RbMW7GeZd59M9OP+8Dg4p6MPvx87E/cD92dXUNoMukq2mapMHYf4P4KfjN9i +P28ykm6bHId3tuJCaWjH5eeFTzHHwcwlxWoSvU7XuV7g9zjQDaPioBX35/Sm +zY/+Yv6QxttTWv9/32ixNuGdgLTpRkEaet+qk+o/l03AFYaQrUEbieh+z/8u +fPUEHNT5cDsJHeJOKEiJTID8AP8ABb12Jle/eu0EfJ8rldVrx/vXvcbVhzZM +wKnnXWcS0Em+KpksuQnolXSt/Im2u0mnJipPAPnAaV6dDuyPy2VnVDQmQCRw +bH8cOmrm0/MWrQnoyenL/o5u1xHZ5rpzAhymDOnb3uF8PMb2XoAJyAiSNopB +2yyPPnXXdAKSjp+/PYAeiunfsN1qAkxrdMY1OjH+//He6rSdgOeFFyAKfTtO +6LXnoQn4ulcxrRedOyxcyuM0AWXP9jFUu3D+Oy7hmPHfBOxbMm0ZiVb7pE1o +eU5AsT3P4x70LtlQSufZCehourFU5T3mn8R8s4ffBNSfjz8Zjs7Pa3JbDJqA +S358bz6hBWKoRFrYBEjQGAqbP2D+xvj3a1ydgNtTB69f+vD/eIY/fxs7AYsZ +GjPv0WFLxcxcEifgP3LkQfmPeP9YYnH3Vwr+/hmLumD0M7EtBQn3JkD7TaxC +J9pf5F2AfM4EvNaFJJlPJKLyigFPbd4E+A2f/RuAvqaZYGlXNAFeP0in29Gb +nnXZjZVOwBMb9b4N3dgvCkkSYRUToGP22uIC+uALj3Ry7QQYUjtr36IZPt8H +HhMT8NnCTkPqM94Pg68PGLRMACfeOs8HXbwv+N7Hjgl41dEg2Yx+erNWzOPj +BOyXLb61rodEWDw6aTv3Bdf/REjQG71PM9IicXAC1sdMRL9G1xbJ88gOT0B0 +524+iS8kojDaOahibAKkM1dFnkGTtOCJ+fQE0ITslhDoSwpfcwZYEyBnLBwp ++hXPx04de+9ZzBc7Mz4vtEGmd9OSfxOgcvRXdD16AzWRfYtvEpSDNgqSe7Ef +ixcMy6+YBPHmxlse6PHw9qRKoUlYcuKbZC2aN0Dg317RSfh70i9PuA/r7ehZ +lb51k2A5HaHhhr53QlD89MZJWJBYUfcSTYz8IubkJ2HvklWWq/tJRJmuwZYb +KpOg+zq67z+0x42pg+s1J0E4JPR0JdqZtHZ3sfYkTJtM/V05gPHnfU/dqT8J +XP0vSS7o409l9rcbToJb+E7FF+iVcpuCHM0mwXHzuvrlg3hfyOt3pllNAt8B +P4fjaNru/wSC7CbhmrQZ/TmaR/vNOf7DkyCTeztO4BuJ2JEgcifFaRJ4lzhv +PoY2dHIJlXGdBGvbh82laM3mKrlSz0mwevaf+9LvOL9TVG8YnJsEaYNMAUf0 +2WddZW1+k8ASti8sQfdrl6QfCp6EteZXbXiH8PfDeo1HwiahZokm+xC6Pu5E +8fmr+LxDR9KL0T9sHD7Px06Clttf4yU/SIRZU0t9TOIk3N4rNX0QvUB54yly +exJspV7eLfzx/38vcvmUfW8Scv69N/2HXtuVv6CcMwktK9049j9xXjxdNP4i +bxKWH/fPe4xe5xCSCkWTcJfEc+gv+pCD4tL20kmo37Nyhd0wiRA+9WrbwYpJ +qCMn1T9CU3bYy36vmYT3abcuzKHHmpifPAlcH4O0Zf8IiZh4+WQPs3kSTHYI +UXLRLRO3gkI6JkEtPiZ7Fv1T9sUZvo+TsGd5+FEbCs7LUptk4r9MwodWpsRD +NOkWNU10EOM3MfzlF1pEV+JD5s9JcI+1S7MaJRHznxrb5McmgdOwy/E+mjXH +jXoyNQlbSh5LcdG3g5t4tFiTsP/szZ8WVJwn+/UMa39PQto67uNs9POPpwyN +FybB+2PveTbactKFt413CmSf7dQzHyMR6UPq0fuXT8HMR8mlWWgFrdGOntVT +sOPAxQ9M9OFLt7qPiUyBve2hbDMaiTDZa5b1c+0UJI4+P5eBTpRdo+y5AT+v +Eb+bgT58azFwSm4KXliMrjEdx3oQl4/xVZ4CZ7t6yj10un6C4y/1KQhyFa2Z +QeedtZwJ0ZoCn3sTSSYTJIKpcMZ0UW8KMsmGXnfR4kP/nK/CFDhMiJpMo4MW +RPWXmU4Bzy6vDcaTOE8w6vriLKeAo7hrPhXNRxbQF7Kdgttvkvom0WrDi87J +DlOwe5tbteEUiWhMrzYVPTYFTvFV6XfQP58a01NPTMEeelzYBHr8v6Jj6zxw +vUHf/4NpEvFNcsmNjDNTIGlUtvc22m7TgTBp3yn4dEpAYxw9UFW2LSdwCugr +ByR2z5AIuop68abQKegz0eRNQb+r+Ex9EDkFgpoCM2Po2eyKUdmYKfg86TRg +QMf5TfTH49x4jFeKVnsyOu7ESTX5W1Owak9CDRU9kL0vMC8N33+d5xN9BvZ/ +0edX5LOm4I/G65wkdMuXe/Z5D3G9edm3R9EiUmupcgX4/ZS/cTuZuB/0nbty +S6bAfe3glZvoyymkI7LluD7bXaEUNHNpsc6Dl7j/RzYF6bFIxH1v8b6Nr3C9 +NtcuJKIXu10hu+n/+3nWdwS9ZE+Ol1TbFDie6fHZwSYRmZ/6D6d3TcHFLsI3 +Af05Qn7l2s9TEH1T3X8YzXfsRsSdvin41b4hWJeD+3VkQy15aAqOZyWHxaNb +3aeqb1KmQFUuJuon2idvaZjgxBT0Bi/G63BJRNFQwNLr9CmYrZlLvYFOENlv +y8+dggX+iw9/oG/vyDkROTcFZwNDSrV/YX+QC9BeWJyCbqXF+jh0X+1QVzD/ +NBTrLesaQs/Sp1U5K6fhWvOtIa3fOC8mP91/fs00vKM9YF1H81/U1J0QmwYD +QmvZEDo19sqI2/ppUDtlJa01SyI+BZUfHNo0DboLo1rX0eIKn+IcFaeBN3Pp +vu/ozGPT17q3TMPsicentv8hEecHRMxstk7Dq1NdUbHop+cOdrToTEPH+4sP +v6GN2+rFDA3QZYWN2+ZwPs9xVqg2mgYjdefhGHT8C9O5rXunodE5bek3tMGr +yNtF1tMwdMJBads87o+LDEfWfhrA7q5NDHp+z/Z1GYenwdH6hP8gukOyhU/k ++DRQvUsyt/4lEbYJtPI412lw67ncEo0OUS5U5j01DbGZX5kD6NS74u4Xz03D +hx8vNmxdwP7oBh4Mv2mYfiVhE422Mtim5hk8DYEHloQNoP/dWaj+FjYNf2u8 +n2r+w/Ni1TPBg1dxPeSTP6+hrTWPKLTHTgMR8E1sAK0SvHSpYeI0aPF+t9Jc +JBF+J5sKKlLw85/drl5D84bmimy5Nw0Ry/3q+tGSxuV77mdPw71a/t8aS8jE +UmkeA7G8adBeuWn7NfT09Yw/1wsx/qRGn36083xS2L+n03B/ilaqwUMmDrTS +3/q9mIbm6jRGFDoioKWXWj0NYnc6t/WjZ+zlnh1tmAb9jLhADV4yQeoU3df1 +ZhpYtK7aKDRFr7DMqH0a+tLTefvRlnMz3168n4bCzmlLDT4yIejOeb+5Zxok +sltvR6FF69/GpvdPQ5vSlh996Jtngpav/oHxjRNT01hKJoqzSfsvj07Dr6GY +S1HoczV5TsyJafhpeqWjD31qcvfWk4xpmOpdKq3BTyaGL828+8ydhs8Vwj5R +6LEHjRpm89Nw7M/DN33opUUtjlVLZmAH8UpSQ4BMbH2yykpJYAa2bD7pF4Xm ++5PNd2/VDMxZJnX0oR1zEq+uIM2AqbmZosYyMkGn09ovis/AjP61K1HopIna +vvH1M/DU2OZHH/r1e7FnjjIzYH4xGzSWkwmB8qX72hRnwO9v8P0otPjz1PId +qjPAPz7I24+uGO/78XjrDDQea/fQWEEmUk8O9ojrzoCHr9G7KHS7yZNb1wxm +4IuZ8fZ+NN/NwxIcoxkgZt9laKwkEw77p0667p0Bbu5P/mvo/deDgz9Yz8Ah +9wjffnTp3pUOu+1nIMOx8LvGKjLxNab0T/FhdJaTzTV0lWWgx7rjMyC3L72+ +H611+WxGtOsMCMa6amgK4vur3L/L9pwB9VMVD6+hlyptdD5xbgb2r0qRGECX +BP2efOeHTpxP0FxNJhb5dI31gmdAQIjOH43uqpw88ShsBmwen7s8gD7nK2dO +ujoDk4FBc5pCZOL3sqnfobEz8P6eYFA0Wvr8AR9aAr6vqhp3AO15yvP5gZQZ +aLHu898qTCZif2jXvro7A1nipF/RaK/MdwnK2TOg9vhz8CC6KVBP+XbuDBxe +L7+wdQ3mq2xcwr+CGeDcXLwSg36W8K7m1FPcXxnPld/Q9s5Czz+Vz4DxzNGU +bSQyMXfmuI9B9QwUkwakY9HNp97OPno1AzqFY4Xf0IXLjloKv5mByo8RutvJ +ZMJOTM49uG0GpAvyW2LRCsaaFj+7MP4Wjoe/o4W23vxl8XkGLD7dHd8ugutJ +szlX1jcDdBf3sOvolRsvlkgOzYCGcAN5CK3ss7HqCmUGFv4+KtQSxXpV3Bc3 +MY7rM5M0jkPv/kXebE+fgb/LpAaH0NwjlxKqOTOw3qU4SFuMTETy3anfNDcD +d0+1it5A771+ripmcQaOGl0o/4HeEki+NLOUDt4CTw7oiJMJwjF5ucNKOrR9 +9uPeQBcSv11qhelwqu3t3Z/oNs0DkTJidNjBU7xLVwKft/352RhJOtjck6LE +o8v3bZSd3kiH6KdS8cNoj9miB/YKdOB1LtbesZZMSBb8N1mlQoeyN60/EtCd +320XpTTpkLfonzCC3i4c/S1Smw6ftzzT11tHJv4+FIqm7qSDmUfIZCL6o+Ds +rKUhHfjfdWdS0CLEfp1SUzqsC6nbv1OSTLyUktstYkWHqwlaS5PQWuGX1wTZ +0uGgnEHNKLr1gF9JvwMdHh/p9tVfTybSGcvFdh+jg5flnEoy+lKh7d4HJ+jw +Ruz5KBUdSzu0Z6kHHWq//n5gIEUmVv1SEvQ8Q4fTJV0ut9Adkp+z23zo8K5c +eyMNTX3q/ndLIB3Elqv92CVNJj4sTsgnXqKD3tsXD1PQ43t91zIi6OAq1Okx +js55y//VLpoOpXMBqrCBTER/qDhRfoMOyoWl7NvocymJFaLJdGDohNRNoA/u +z+oJSKWDQmNPtOFG3P+tdOJLBh0G3V7bp6KjA5ODdB/QAcBw0xQ62TT5T1o+ +HRzO7acbbSIT0DJvNltMB3dBRkMaervZd5cjz+kQoCd7axr9rsx0z8tKOhSQ +qO4mMmTC+DRwJOrosLtMX/8e2udE7/mgRjpY7JAj09G1b6SrvrTQYZzInNgj +SyYePZZq135Hh8NeBW/S0Zs0hwtuf6RD5T6z+wz02ROXDrC/4PoSA8PM5MhE +iiW3zW6QDitM9Zwy0SIcJ8FnP+lwLCnRgIV2j2iQFBqjw6GEwA3m8mTi/qQy +98wUHdQdmTzZ6GaVwow2Jh0ESYtUNtrA2lJo8286aH3K6bRQIBP7jCVtov7S +oa+6uyIH3cAv8oSxhAHKo+k5XPSibb1EDh8D3H25cVaK+P4Rt7xsBBjw5tJI +0AN0C9+9B/PLGeAv4+7xGx126GtD4SoGtF0OOWSzmUwk0A68OSzEAE65nHku +epumWCk/iQHqAyf0/6A/5MtElIswoIO8TXO/Eu7/88u6/4kz4HdQmuIjtGCL +do/QOgbwKyVvmEdX21o61q1ngKLhxrV2ytg/XjU1eW1gwMtvRiKP0dEXCkQl +ZBgwK/1HeAEd8O2f1Rs5BshsMBU6oEImfN07vXwVGZA8ryBUiK44I+m9QZkB +d7ozhBfR3gemjnRsYcDZpnyywxY8D2ItVILVGfAfzUyiGL3ffcew/FYGdLuE +SvOoYj/f2xDxcTsDVu3dq3AYfSSFwh+uw4DjtY/VS9DM7Ke+KnoMWNefpcen +hv29Te7NF30GZBDKZo5om1OWC1d2M0An3upgKfpSj5K0hhEDdh3lc+NXJxOb +PZvlBkwYIGJuF3AMXeGnSIoxY4DgBe3Y5+i6/faj2ywYEDlbmrlMg0zomO6/ +/92KAYNcouw4OuypnHHcPgYExZ5qL0eH9/S0a9sxIK8zf2SFJpmg8Zzd+fMA +A34MX/rngm6Om0qKP8SA0NExyUq0cPnxLl1HBoyyJnYIbsX8bGtmDR9jgJfS +tSOuaIUVW/4lODPgXm7lxZdo9zcpjB3/MeBV5OVMoW1kYoeBQPvISQYY/Rgi +3NBnSmPjEj3w+YNfqTXoRFeZbXpeDLC77SlE2k4mKm9/IUbOMOCu/E1dT7Rf +7FOdRG8GiBXvc61Hm1woTdnhy4D1pvmJIlrY724NfR2+wIDNa1LrvNDe8qZ8 +CYEMKFbeMNWAfuxEFdO9yICNpbulxbWxvoPahH9eYgC3/vf+s+jvuRxGXDgD +Si5YRL1Gn5DxrtaKZEDN9PaatTpkIk7QwOv7VQZkW1QxvdGkp25LYqMZ0J/X +rdKMfqM4E771OgP6pK67r9f9/9+/U/pvMEDt/dcHvujwswbbohIZsK+vYegt +Oujmak+1ZAY0HjHauGEHmdDdeuTqlxQGrDnjdMIffeK2bMzlVAZUq5Fy29Ei +nX5+SvcYYPHKZWyTHtbbiv2mHzMwP3aaqwWhL3vVL17MxnpqaPfvRFuLvXkg ++wDjd3qsXm4nmTgu57WlIxfz72j28hC0WnVZ5oV8BmgV0w9+QDvN53PXFzLg +0qWBh4r6eD4vWOm8KWbABdp/rFD0m++Pnc8+ZcBH4asm3ehDLwlv0ecMWCYM +qcoGGM/sTI+6cowfX+rEZXTpcyMzt0oGBK6KNfyCFl5auVqwmgFDJmJ3VXfh +evMW68prGZDSvot5BS2ZK3/w2CsGSNTzWPehuxW2dPM2Yr3q/VegsZtMPJVf +t7OoiQHg5CQQjU5r4MTateD77GG7D6L9OU0Ns60MOCKk+HYbYD71xX/P6WBA +VC9H+Tr6zkWHUbMuBjgSLolDaLteuc/THxgQMOLB0TbEevu7UHS7G+vDZaVT +PFqLPu6l/4UBCvaWzcPo3RXTa4Z7GcDXp6ipZ4Tzvp3w/dgBBnwh3c+8iYbW +gxIa3xmwV7JyJRVNJ78J7PnBAJ41XiEGxmSiaMfJV5dGGJC7pnryFpqtvmNG +horx25nvPI7unDUXaKUx4HWhZjeYkImfiRkC3pO4H2FHLFJN/t/PtekiM5i/ +3dKNU+il/BuIagYDtFsjdprsIRMPPztedGEzIDwksuIeut6KLsn/iwH1yzZt +Y6B13Sl5RbMMeJHg9MzMFPd/GUjYzmN8VXQ1s9DJmvx+3AUGPJorfc5GP+8w +qEhfwgQF6bdalmY477dM/gA+JjiUhlbfR+8VXMul8DNhpusD/EZ3X3/LvL6c +CV33mt7a7MXzTHXJV/VVTMhVc7DLQ+/4/javezUTDAuuDc6hBcLkjwWvYULg +ZgcvO3MyEfJ7/ZyUCBN425p+P0YPar+IbBRjQm3Rx5h/6ChRNtN9LROcJ8LX +OVhgf/H/brlyPRP6H3U8KUZn6YXGP5VmAnOuyojXEuNr9qnSfhMTji/b03sE +3eNHbfslywTp8fM+pWj+vFfN6QpMrH/9lQJWuJ7SE0W7lZjwLPfxIyd0pfen +oGEVJqi/LDcuRx+pXqcercaEg+tO/FxhjfPoOYNOZU18HuVJ5An0T0dDh85t +TJjckS5XhbY4tKXFRxuft13p7WobMvF2B98m0R1MOM08dNYN3dfZ6Vq1kwkv +khVFatFRU0mJR3cxoXdrWi1pH5n4c9w+dwGY0EQvcD+FfsOWeHDfmAmO48dI +Deh1F8diTEyZEGHw7JXYfjLR+6rlMHUvExSX5Z87i/aJrV1z3ZIJRp67NjSh +H2d0lG2xYUJ6SOCHdbaYz+/+7urazwRTF7soH/Ty9wfLfOyZsGV7l95btG1o +n7CIA/6e6DRD2o5MTMQlHao4zATLTU8L/dHmNZejDx9lQkgAya0DrfD1Sc4f +JyYUbpXYJGuP94ts6YcZLkz46NfwLRhd0fg1YZcrE1iHVma9R3sK/nQdcmPC +sr+/jysewHlYC2QiPZkwezl2Uxj6Lfd3q+xpJkwsqaN0o4d5SEffnGUCkXmr +SOUgmcjdmPTZ/TwTLvsK+kWidWdDdizzY8LmLGX9XnSY0ddrBf5MaNs1wa/h +gPGqKaqzCGLCGd99n66hE5bOD05cZMKCw6H7g+jcn53UG6FMeLiC12f7IdzP +OaV+1ctMOFRkZxSHjp0lVXVGMmH7IVPRn+i65MQw7ygm6G75RtM9TCY2XMhT +E45hQvDedQ2J6NBdjm9LrzNhTduf1FG078MyS9t4Jsx3hvsYHMH+bVFZxUhk +got/gVUKeuaTl1ByMuZrf6DSBDp65tO+rbeZQJOeEDByJBNPDH4Hf0zF+jnO +O5aG1nYejPe9xwS3yobWGbQwOyaOlMmEyL2yT0yPYj09WvR9ns2EbHWV5Ey0 +zyoLE7sHTPh1/WsQGz3a7PWPkcuEzCCVE5bHcL/8PHOT8jEfxeQsH6DdS/Zu +0yxkwokrjdqz6HzBNcXvi5nwfoBfbr8TmZhXaVl9/ikTJAwZpHy0UeH5o0LP +mRDQGcG7gN64hpxcUo77+7CKc+A43p95y59bVzJhceA2rQidxHekbvIlE8Lv +rf3O40wm9CoFnsfVMqF51rjnCJr86M1N5VeYDxKiXaXoNpe0I60EEyzE4lsF +XHB/A6JWeTYx4Z9Q8Zvj6Fj/5AL+FoyPnO/rF+iJySaNvFYmmPl8b1x1AuPr +JvPAuIMJe0TZr13RCadK//7oxPxRK22uRtdFXjC+/IEJW/vJ7Wv+w3zWueAn +3c2Eazs2fPBEywq/iK/tYcJPj49fX6EPJegnO/ZiPl1V/Snmiv1WTzjidz8T +vJ5oTJ1FuyZrOd75xgTxJQOzTei30s+ltv/A+s5UX7b+JJl44RDX/mGYCd/v +q0j4ofe8anb1HsXfU3mv1IamfTk1uorGhIHDUgab3MiE4pqL9oUTTAjdS7YL +Qhdz5gvNppkQK/Hcswt9j/NrcoTOBE/q7GUFdzLRmHx+bSQL8+nT+L1QdOrO +MxobuFg/f65WdKMnz9A1a38z4UvI208qHmTiWCqP9JE5zFf/F8xI9IOtj9mc +v9h/+azIfWiD0tEXyYvYD81vaGl6kok1Ea9PqPOyoMUl4EgM+qe4ye/2pSwY +PrUi/DtaaOhssOcyFnyJ3PtI+xSu38qUwreSBVJtGl3x6NevP+68L8iCP06v +Z0fQqi8lQg2EWTB0bFFe3wvz+ZZUQS+JBcoUqv0tNOvl6Ct/URacEL14ZRzt +mxZMrJFgAbGystzwNM5bt/qfPFnHgjejWdQ0tLowKcpcigXfmjTX09FFPjJm +lA0siGjytjM7QyZOy5HYl2VYsIbvyPUs9M3Q0bj18ixg3596zUELjeWurlLE +369V/Wd1FuePertL9sosaPZdq5+LnnHldE9vYcH1n6UX59AP1JMlrquzIFKZ +XW13DuevSDUz+a0s0D41PF+APl3e5dKwnQU8dWGwxJtMMORC3I7qsCDGpDnq +MPqarPZB7g4WKElXdzxFf1nNr5Gkz4ILno6iAudx/jSgc1R24/sY5jsfRx/j +/fOo2RDj9zan6AXavGyz8QkTFlitN5td5YP3y4yItjlTFux1vLf3JDpNfIXB +HXMWJN6/d7cGneLXck/DigXpwnsnSb6YT/P1w202LPj95gF4oZfzc8XdbFlg +NFR4h0Bv++qj88+eBfxhLtMSfjg/1esY3XXAeNS9NjuPHlplrbvtCMazvvtB +C7rmb8Xad0dZcDfz1j/pC9gfxi6Ouh9nwfeLi04B6JvLsrIWXVhw8YJk/Tv0 +gafyRvdcWbCyYGSDvD+ZWCYq/mGbOwvUdI5duYROjgu0fOfJglCDyLFP6CEz +q2fup1kQ1+ewTyUA+3/yPZ7FsywgqfZVRqJjnnrsvnueBY/sV8n0oWv6qjy2 ++mH8zkzFawaSiY79t0La/VkQkho6F4MWtJm/eDIIv8+s9RpCZwnNuv29yALb +9KJ+nSCcR7oT9O+EsmDwmblNIvpjV+OC2mUWeB5IbRxFvzG4V9wSyYKC+ym6 +u4KxX9uuM3WJYoF+lWHpbfTvPXvbf0ezYKwiS2kKvfuQkn7SdRbY1BblmlzE +/ChoTFOKZ8EWquemDLTExbU/iEQW7HToyWah27hbRR2TWaC5mb3BMgT7p7WI +FjOFBR0hjfcfoL9VNsL1VBZUeBvK/0GvOm6sK3MP90fGp9D2EvZv93TJ6gwW +lJXZahagK1a8H7fNZoGW4fDLRfTLU6N5tPssEB+XNzkcivVYNWwVkcuCTe/W +vn+Krl737rtEPguElr9yEggjE86l+cdLC/B5taJTx9HkkqBWs2IW9PFLh1Wg +aWp7Nn4vYYEp/1fh1eFkovUEyTXgGdZTr3GeG/rZcUqSYDkLFHJO7KxDf7F8 +XZxbwQLrIM1PIpfxfrjvWdnOlywYv1x25gyacbn80ccaFrC+UgWaLv//3xM/ +Rp2qx/Vnd+ZKRmD/mV1tu9iA+cT0MPZDTwScX5b6GveDUTbchp5NnytSbWbB +7ZrnUTKRZCLvyoudTW/x+d4nlS6i3+19WOnYzgJ1ldbOD+i1PG0bGO9Y8HD1 +D3+lKzhPNqpdiH7PAgfdYukIdFZBT7nUJ6zXFuXWr+gDDc0/yj6zQKTvmL/G +VXy+At+c+VcW0BONZGPQ1uO3Fr/3saBIYODj9///XSSE6T+Iz3NRuqoThf21 +tf79yiEWnK5S1klEtwqcTL//kwWH1IcmRtHBY952OhQWdA+bP9h1De/nF6ic +DioLetkejnfQF152Rf03zoKzEXoi0+iOGlWe35OYn4+Jrj3RZOLDHf7T8TP4 ++Zi/NzLRTrudG2SYLKgynLbkoJU+6fNUsVnAYNxaZR1DJjKMczWsf2F/q5ru +zEWbP7pn+XOWBUnlC8nzaJU/cvaB8yyY4Ws6fCAW8894r9mqfyx4/nbXxmJ0 +e+zyzfeXsIEi7U3jvY7723iWo8XHhhsKB8uPoomF4Kdt/Gx4uEC/XIae19jm +4LycDTrNRvtWxuG855xFY61kg1uGxQZXtN/VhlMxq9mglrOMUY3my8vqWb+G +DRn0S02kG7i+YgONZ2Q2tBTn3/VCq99/ELBHjA3drJjzjeikSx8LeiXY8HJk +o/m6eFyf+sfWs5JsuJvlLeuLdql51LNEmg0J4P+vFc276uD72xvZUEXTHNyU +gPctqZ8VSrJsUHiZVxuMjvtpd71Ong3LOt9nfkAPWRVb2G5mw1mzsstKiVhf +dqxfI8psuGBi7RaB/vdtS3KQKhuOjmRZ9qLDR53WrtJgw1bTx9s0b+J97EBc +fPZWNmyOPSUViz4nVT29VYsNhzt+LvuBPqEwo9+sw4Z5NRGubhL2A2f1oCN6 +bNjx/u/ITfSKsvCcSX02mHdlfx5DC5EoL8J3s8Ha8k8LJJOJnYdOVpGM2BDj +Klibhl7mx/M4z4QNEjq9z+joU5ZNV3XN8PsUp4K9t8jE+uYSm3ZzNljEpz/I +QYc1Ni89bsUGB5vkzN/oK2prCuk2bEg1M7q3P4VMFFCSd16xZcN/aUVpj9FP +OvdXix5gwx/nzrRF9FJin8JjBzaE1xXeO3wb74sFKeF6R/D33kNWKZrvmFxz +x1E2VFfefLjsDpmg1vD+OX6cDZPJ9wpd0HIPdCQZLmxQijheVoUupjUpXXFl +Q9/9gTrhVKxf71J5UXfMHxHRNk/02Jp/q/M92XDtl8DXBnTG/RcU3dNs2HL6 +BVUiDfN1/mtB21k2+CRIzZ5HRzDOHj12ng05l2FVK5rsEvxnypcNUiekN226 +i/OpyOK1cH827NpXqROM5qfyL1kTxAZbr5X7P6BD85M9H1xkw4sP67yU7mG/ +UHxcty2UDe9yKVER6D86VotN4WxYwnvmYS+66ckVDYdINiSvLGnUTMf9trG3 +oV5lw8Jg0XAsmsZ+dSQomg25d934f6KLHTvtll9nw4hTv7JeBsbT6cqOezfY +oGIhaJuM9qwZFlRJZMPP0LmgcfTcXnZXTRIbgiQePTDKxPdvehlulcIG+x2C +nffQvPO6UoN32DD1T2OOiRZ/EfD47F02lMWtUbbMIhNmZYGbFtLZIDZf4vgQ +/Z6AmIQsNsSdXx4/h95+t2dA+j4b0pZtIuyzcd4X2LXh6UM25A1zuEXowtch ++3Y/wvVtilHjy8F+kZ5ytusxGyqGvngcQ/9nGh/sXMSG14aUB+Xo/igvv5kn +bGh0Lf2+6j6ZsCJpHg0vxXx03yHthtZ4RtEQKmNDr+fl43VowXXx7KwXbGBd +j8oRfUAmGpZveaRWxYYNk3tHzqKv67Xsqa9mA7WoTakZ/cXF9ZN1HfYj2gof +6Ydk4rv20n2Dr7De3yyvDkDTgp5VnWlkQ/zxFr4u9PuvZ4Tnm9jg0W1sq5iL +94VV+g5xLWwoMg3PDkd3NcheX9fGhr/dwTNf0Pk1m4sLOthAz9pmqJGH9Z6+ +r1a3iw3kpuKUGHTrxszqlg9sEDhJoQ2h2xii+Q7dbLiYNQg7HpEJm7f1EZQe +NrCTb99NQvObZVhc6GWD9AlBNg29QaZsCe8AGwo379lvlE8mMvmW5Sd9Y8P2 +5QYl99CX0rL1Nv5gg5kMR5CF9k0Mqy0ZZkP9rbPelo9x/TcKthiMYv2EPvr4 +EG2lLx/XPobfX8jWmUdL7eF+OTLBhiRtx6wDBWTissUm8tgUG37t+cz/BC33 +p1A/gI7rsVrjs7QQ53lu6gE+FhuyPVcPOqErhiYdkzls2F/TYVGB9jhasm/j +bzYMuFpVry7C+Ufwx9aSP2xYGhmv4oEWuRXLp/+XDQFaN7NeoTNTipta/7GB +N+sAWaKYTJQV2fgd4uHgfbgv9jza2/+CMIWPA5aCsjytaNskmQxfAQ7k2Kte +2vSETMhkOIktLucAuXP2VzCab7tyePwqDp4fMf4f0ZK/bvSsE+JAwLdetnIJ +9luf6+sfr+EAX/mU/xX0HRNFWy0RDkzqN/3uR58geV5oFOMAJc0pdPtTfL6L +7bV9aznQR33JG4/+0EG9NiDJgQTz3jgKmoepHnBKmgO9gzWiu0rJxL5jage4 +GzlQ1HTi/h10fA514xVZDhBS7Woz6F+HXAaEFPD5y3/XmT3D+8TKzGsZm/H9 +Ho3Z5KC1Dj7YoKTCgeuimT9+oxnVF/JfqHIgPkA0wPY5mbj1QULaSIMD+jTb +VYXoPplbVzq3ciA63i6XpwznOeOxL45aHDhwRXzXUXRz5XpJqg4HLo3n9Jah +rVdqWfvpcUBgeDpgVTmZWNepde6fPgc+3lgi5oZ+eUM2LG43B94J9FbUod1f +84SKG3Fg1M//iNgLnN8Xvng9NOGADKPn77kX////D/lm6mYc8Mn++7AFbV4U +QK4x50BdFs1yYwX2p03mnaZWuD9C6Zwg9NfnskEfbXB/hUn3P6CbRlasOW7L +geeNNjbKlWTCcifvXZo9B+h7bP9Goj1U1wj7O+D7Vq8t6UfXGO8IWDzMgSu7 +H7tsr8J+/y+8Pe4oBz5z5kXi0REDNCHx4xzY9le8nYIWOBZi/MCFA2X+s5G7 +XpKJXIauu6orBxzC7+unoh/KKgZVuXFAXU/49wz6uadFsLEnB2ya97zYW00m +KvXyT3V6caDd2OjCfTSvqJH5kbMcyPy4VOsPOvzMBokRbw6suHXzl10N1vNL +455zvhwQzPtZU4RefansyuwFDtRsno/gq8X82ui38WogB4x3DZo7odXXRxev +vsiBiqXXyBXow0MsxbuXOKCXzf22ug77/WRdsmw4B1jK6sUe6F0FtMknEbh/ +reohDei0qBBt3ascyLj723JtPc6TfwK9G69xoLM2VtoXveAznGoVi/GxG2a2 +ofOPNT7tiePAt5ClrbKvMJ4qaytdEjAfD9NzLqE3Wkw+Gb/JgbsCuRc/o1Ok +IeXCLQ5UFW50UGvAeXvdWq+F2xzIPuG+LRq94nGIekwaB8Ks/ElD6FG1MyNr +0jmQEmfN0iWw36+biUnP5IDU7pnPSWjv1mVS8jkcsIt2rB5H7yytyyl5wAHv +q4k5xo1konYbSUQ3jwNNDgkxGei8ghWBRD4HLkof8uWgt14varUo5AB7juZk +85pM9KjPruwuxnoXMrPMRyvM/TJwesqBzcHn9BbRCQeLnUef4e8fcVE50kQm +Pqeu8/Eux/W/Xy/9HL1d1sz3dwUHlvx7SFr5BvvTUW3XiJcc+MrHXXYSXfBw +0nhFLQdu8pCX1KE7954TuVXPgWCJuT+izRj/ilfdkgR+3r2Eew7dYEK5mvua +A5KrVdkt6Pv7huVUmzmQrhbI2thCJnTU68tfvOVA+dgNdjD6vfbF7bvaMb7H +zv36iI7tkMxtfscB+SLJeZW3eP80zOfd954DFuwUnig0eXyj/ZePHLh9uG/F +N7TMpvhk588c8P09IaLTSiZcdegE9QsHgN268Sba+KrND+8+DoSfuaBGQ7s4 +FtN/DXAgKmLCwKgN811oNT38Owf67dX3paN1JwO/C/zkwDAv/MdGH7CZrk8c +4YD4c6lA63YykR3onyBO5cBC2Nv4R+jkpjU22TT0dXj0D116ueWvwiQHUrlR +DYc7yMR+5r3MkmkOGP1MG3iGXul9U1Wbgf3sXPCfFe+wPoyKn9SxODBRo7ju +JNrvKROPJOw34w931qF9+T3DOn5zYPX66eNinXie3hLusp/jwKA3/1Vv9Kq7 +dKH+vxzo4Z8qfIt2cV5l+N8iBx4tefBpUxf2Vy3P/2g8XHh5WX7hIjrPadmF +80u5UJ4bqNyNDpRg+P8S4IJUQtph1fdkYku5gmfYCi7ccYqJuYZ+7/bEYqkg +F0q2mVV/R++7HCt1Q4gLbI3PU7ofyMTRXa+GSCQuSAdslU1Gs37YpdwVwd+X +dXacQHsU79XdKM4FR8ejt0w+Yn8fyO14tJYLpXqKnZnorc9O26qu54I7pXHF +L7S62/3mMmkuSISome//hPOKocUWvU1cOLneK7YALePrFdkgy4VV4/7tPN04 +vxjxt5oqcOExn53QMXTcyKbFjs1coN1YOPAC7Z9EKNqrcCH+YUjG6s9kIjGa +trtXlQvGp1opHuhjc5l7nTW48GKBqkGg7ykMG1K2ciHj6pfQdT1kYrdxncpp +LS7USKZ1+KFzojT4GTpc6BxRknqHfiFl+CFAjwuhize8Fb5gfIB1Y14f15NI +vA5HG2yx3BG5mwuzz1vW9qKDBKx7BIy4sCsu22frVzIhv+qva7wJF3R2mLfH +oW3dnX+SzDDeg00KFPTefUG2aeZc8LtLurqrl0yIjls+k7LiglX81uFUtMWZ +b0se2nBBqE/OhIE+z7/deLMtF6JyaI8s+vB+Sdnv/8SeC5FLIlbmordo7Ejb +6sCFYakJn7/oPlFGUeVhLlwW29zn0I/zCnGpVP8oFzat0jUpRce4DOURTlyo +2iBZunyATFSt3XjD1IULa3w/SLmiZUXBtf0//Lzc0fhadFmAicp+Ny5UOFQt +iA6Sib+nNEe6PbhQr0zz8UbPi69MOOLFBTliavQtOvPh583fzuDf9ZqdZL7h +fVL9dvl/3ly4WeXbE4KeGbDWpPpwIeQoa/9ntFg/b/bpC1zwNtn7Tu07mTA0 +rPk7E8AF2xQfyxj0sW1B1heCubD9jHf7D/RA966E3yGYr5OG1juHyMRyU3LD +pTAuJOnQ3qegW3Jmfy5exviddXOYRgcKcLlXr3DhUEnFoNkPMqGUump+2TUu +XFw/6H4fff6cIfNGDBfOfv3K+IOOLkzrFY7D/eQtDDvwE+9LrmLPU+K5MFm3 +X7AEnV9VHyJxkwuBSu8yBYbJxN2a29oZyVz45b5B4wRaNib754bb+H6pZk3V +6BLjofCHqVyY79/jKDJCJpiso6sV72E+HlzHPIu+WiGWUJiB7y//Jq4FbZkv +8k81mwsRZ0wVN1HIxNPPR048u8+FCcuspovo7n3j5dtz/5+vHa7d6EC9ttnK +R1zYffgjn9oozsPpf9V3FmD8Wkryo9HGV2IO1RdxwcT+P6sfaMk13ucNS7C+ +paaYelTcnz0vLjaVckHAdF96Clp4l3OAWRkXts3E7JlGM5f6uLa94ELTjnsM +szEyQeRPG1pXcYFieiX7Ptps28Ca99VcqNUx2TeHTqg2+GRXx4VrqoOLB2hk +otFQ/NrnVxhfc5vyEvT5njPKhxuxnopTTy0bx/4SZdTQ18SFc0EvN/6HZh/P +MHNq4cLfd2W9Nejbx8IavrdyIa7zWoroBJkwSZ1U/q+DC0bpW2290eXCE9dG +OrkQdrBSqBWd0Bba7f4B819a9L3MJM5rnx6TaZ+4cEHcKvkS+onSeZPTPVyo +O3HMoQd9qPeL+9RXLvyP4vqOq/n9AgB+iyLt7q2IJFpKaA/VuVRKoagUSUpL +SxoqKlIqIaXxbRFSKUJDRuuDREUiiogGbUK6e/zO78/363PvZ5znnPOcJ1vR +evmGGRli6dBIbOjAPJiFLh5NQ7+2+u/k7y/zIBtZdnsETVnCOBb+bR68HFfE +mP3EeUxP5OC/YVxvlRDrPHR1U7fpse/zUC6dT/mNlq3cvogxNg8OJpd/bPsl +QxxnpzyPncTnN8U9LEXXVydGsafxerPhBS46so0qH/9rHg7v7zrkOov7tcHL +Kt5vdKOpWQ06XWDFxlNz83CDnSwn+luGMF5NrRCg4ftbVP31QZfmGUslMeYh +tayqpwVdtE8kaCF7HuZ3pdxb+keGeOfX8OAMdx5MfM0vhaPNqy1pwiQa9JF6 +ol79/7r2fbU0QRrobLVwV/uL88SQxDYRIRrc3ZO25RS64p6zR/oiGnxxuqM1 +gE6qTD8kuoQGazzvyenPYb+trXc/L0aDvwUZCzLQK5v7rMUladCtuu3vODq1 +659yhjQN9FSGRjb/w3nzmcxvCQoNShucPhT931f1712Uo0EOr7RjHl2344C3 +1DIaFCi+bXWYlyGinmQLZy2ngYHB5weVaOfpj8XSK2kw4/e0ZgEN99smHdVL +q2hg8T6l2gNtq3i9RGYNDV5f0bj1AP2Npy2WrUoD9YmKKmm6DHFuz6dAsgYN +Ot4uvB2EFl58szFbkwbu8XD3OXpw4RUeWZsGgWJu9UoMXE+DVr2cDTTIuLqz +MRbNTJF0p+jSIMx9TVsvWm74UmSOPg2uHOjr1mbKEKR1O05RjGjQ2uX/ORX9 +2HlLQo4J3q+tf3IYfdD6WCjFjAaOgWqsTSzsX8MzjjkWNJD95iSWhzZYXKVK +2UwDN6uDq36j6+7UzGRb0uBDo72hHRvjcXdROXkrDfT95XbeQG/4dXdXti0N +5AMIfx76ptudWRl7Gmwd2pbkxpEhptuFT13aQYPDf2qv1qI1lJsFZRxpYNzM +bhXjYn1afojO2k0DH1+VYT905zKnb1IuNCBEtRc+QTfEm5pkutKA8VZ27XIe +zgP2F89I7qNB+6evDlHoKl+Xtoz9NBC0Tot5gz57O3Ne3JMG/gYypWv5MoQi +12rZBS8aNL2Ke5OEXqlzbIOYDw2erHvJHUSPrNIwPudHg13R/7SNSWTiUe0B +vSWHaWDaLXDwElqiWVH5bBDa6Xf2DLqafFhgcShag+jYKkAmlhdbvU8Jo8GS +I0cFrqGNV9cXCEXQIGHbwk1s9PaUxl3JUTQI+RRzzEWQTHhfPsARjKFBC/VN +3V20OPVaQeJxGthcWzQnsoBMLIHUtaR4GkysWK3vg26LpNxOOEmD7A8ro1vQ +gfe2K3MTaaD0k9u4dCGZeN2jd/ZEMg2izrQKRqAFLr8eZabQIIU4ZP8abT6u +qBNzlga2xFSuuhCZeHNW4yjtHA2Ky51HEtHb9/wpjczA/+de2/gFrbosruNv +JtbPnbenDIXJRFbpq+GwbBpcpfx4l4ne3zY28yuXBr0Tn9Wm0WpW3VPB+TSI +2NEQZ72ITLxipXyeKqRBok/k+xL0yB1Ka8BlGkw5yK1nobs3nMgdK6HBc53i +s86LycS0fcsBn+s0kFwnPH4H/bZ9WGHkBg36DzpvFREhE/NHJjs8K2gg9jel +4hBaVfJT0GAlXhe4sqQFnRBeT3K/TYMttQVHli4hE6v3n0z7eAfzW/V4Xzj6 +QL75gj01NNCMB3iN/jrzN6y3jgZdnycr1UXJRPCq0reODVgfh2LlTqOTaLtU +ux/SgGT4K/kL2sJoQbB9Iw1eRNnOG4qRCfnyx2Uvm2nw1SrNPwtdLRT3zpqg +gd3z6s/TaLsV9n+fPsV4L3u0a6s4mYAqLSHqcxosOFTVcRVtEqYs2vwC67kt +0ZKNLtfduNC0kwYqB6HVRQKfV+3+u+EVDeiuo2b30B8rKt7ovcH+1R3StEQS +139A/vq9tzRgfv9q7otes/iev/Z7GlxuMXzSin45EbGqqg/rLz5qq4IUmdhH +9X+l9gn7j2XR60j0mhcXgko/0+Ci7s09b9C+5tNcpa80eBBSPLxWmky4eCQl +FQ/h+srFhCajw77s5Swdxf7nuIn7FZ0RFx6Q+wPjaTZ2wUQG7/e754X0BA1+ +cmJW5aBF/8UoZExhfdbP1f9CL9sUenDJTxqQU/bYbyOTiYbk+oKUWRooZF8b +LUUrpjm0C/7F9+O9j+ehT/7dMpbwjwY3Jn8v20shE4yES0wWDft/9PyDOnTg +0GZSNJMGql0jrhKyZKK1y5n1l43rIfSIGYCOZ3WPh/Kw/u1iLj9D58rUv5wi +0UG1cZXlSjkyYda76LLfAjocP147FYNmjb/2GRGiQ3uVdk4veq/gklUHFtMh +MfQSrJcnEz3vW7s/LaGD5MTQTBp64aK5MBdxOrw1WVY8ii5wrhB+K0kH25RN +OyyWkolor6GL22Xo8HXWhlSADhm5JvaSQgfhAov7c2jZxNk4S3k62N9QCt65 +DNfn16uhlmV0kNKfVqlEX39jbmy6gg6fA699W6BAJq72WyfdX4nvH7Sl+ADa +unLiyUZlOpx07d73CC0wt/bfrTV02LvbejllOZn45imuoK5Gh90JFYOhaLXs +PL3rGnQY4f671oEeNemgKmrRIXdOO0BlBZk4Rr+5OV+bDrTE3RtPorOPmxiS +N9LhSpc36xN6nU/CygxdOqyeO9Cur0gmlF1PsBYb0PE8aZNzEZ3M0etMMqLD +Ar/lPlPoFexbF3gmdMijfTawXon1NTNmFWtGh8DZNJGr6LGEidk5CzqQI1Z/ +Y6EtHeszQjfTwezGzQYXJTJxd8FO5UlLOmSVLc+8h75n9Kji0FY6XCs4ESS6 +Cushh6n81ZYOG0pf2vqhk2tlMt3s6fDpu6DGE/Q13cV/3+2gg2uipsgKZTJx +vGbQZocjrk8RzBxDC77Py3qxmw7xLlvevkUX6Ri92eyC8Xin+3DdajKRGfqU +1ORKh20G0tdS0TOrzdQM99Hh4NXBcyNoodEKuLefDoWG+THma3B99ovs0PSk +w3WFzf756I1LfXbe8KLD9iMfXefQyxobLVf60MHL9YDdThUy4fiOrJ3vR4er +8+8sKtHBC8OWyBymQ3ewocFCVXyfkd7P54Lo8OJbmrYnWlfQ8ppQKB3sjnaq +P0YXCzzZdzKMDnpW7DWyamRiKnzXYmY4HTxOLF8dhhYfp1eGR9Gh2ERrdRf6 +A/sBzETT4fE1TRU1dbwf5Hb4HqdDed8yjUR0iH22zbc4OhizGdpf0Fdu3X/k +dpIOTrovDYw0yMQFOl/pXSIduq6kwiX01hdRx+2T6XD5kJH9T7R4kUJHWwod +akr73WzXkomjsn9FLc7S4UNiQEApOusJf8uDc3RYozwVy0OPqNuEbsygQ9iN +/Rf2apKJRSNdFyoz6XB/PXG9Hl0ekXVtdTYdhkYojyW1yIRSRFFlUS4dmKP7 +egPRBwJ/llHy6fDP+dKv52iPqfS8C4VYv26NosrryERqePQJ4ct0SJDp04xD +119vcD5ZQgf5shH7fvT9v/arGddw/fSGQ3W1ycRtpun3sBt04A+9zb6AVtmU +WjhZjvnaU/94Ar3AXN/auxLrUSV91HI9mdh8yfr7wC2sL4HdEiXo1qaWaKc7 ++P80sU0s9B6rUn7XPTrMfH102GUDmUi7RTthVUcHZbV9hffQ1QlNM0336fA6 +8ecr0Y1kon8LY5fBQzqQZCMF/NGno6tvVT/GfBb8ZfQUbXLrG1O1mQ5nQt3D +FHXIxMS+S2ZXWumw6kRTVQxad1FHhNxTOvTaS4/3oleZpZZktNGBWLBPdYMu +5ltET6vwC6zf9jzfdPRRnZvvEzrosLThRcUP9COm9FdaFz6PNjNN1SMTTlul +v4R206H0lrBuMdqrpLJ7rAfzlU45Tkffjf96/0AvHaR58m279cmEjEddVt8H +OqiPSErdQdd1annv/EgH7RccDxEDMpGvZ6/ePoD9qedrtQ9aXFF22HyQDn9X +NfBb0WTShYv3v9Fhx5fTTssNyUTovgZd7RGsJ1XrymPo8Iqczhvf6WC1ikt6 +h77koeW6YpwOR2ar9mkbkYkATvzH7Ek6XGrY2ZCGfsu+uFN0hg7z+RPk7+jm +Dz6PTv+iQ9+jmAgwJhNSPP5S1m/MNzP++0J035xPyNE5Ory3ijOmof1V/2uY +mMd+MD97eZcJzl/kwn+eDDp4h+8TqkY/WntUvZ+Fz/vaGLrYFOeTYSWHnVw6 +5HtQBg6hVzRUBj3n0+GljI9N6/+vL5OJNxNkwDXlWw0Km7C+Y/Yn1S1kQHb1 +pPox9Bq78wmaixgw+0mp6C26hlQWek2EAS6dO6S0zcjEJ6kqp6ViDFh+PSI1 +DT0wdUX7ogQDGpOzSN/RW/gpHCFpBnTkVpwAc3zfVl8ijsyASsZ9RiG6Od8i +dk6WAVM9TdE0tDeXoh64lAGczU2MXRaY7x4zHUMKDIg7Un+iGq2k+tLLVZEB +43FlJBEgE7ymW79eKzHg5YWLqT7orwWFYVarGXDrebgUgVZWyx9/rMKAdbYO +RcupZKK2q8JJR50BA8aqGtFoCu1VfcVaBpg0/mt4h75CFhVduY4B9L/NNus3 +k4mV53z35KxnQPmCxIGz6KVt3/KW6DBgWMriyA/0Zd34V6f0GOBsMS+0eQvm +g/5mOs2AAUV3y68Uox/rb5APMWbAgbTdJgz0vqt260ZNGWA0w/jgZEkmzvfl +Ge41Z8APXkHkXfTMZnnDN8AA6e8GsqJWuF7WbzSttzDAt/XVAz/0ya1PKY1W +uF71B/Y/RQfVzM1ttGHA0fFpwZXWuP8M+b0s38aA0ycib8Wi3SyULq3YzoDb +OQyXD2gHrVW7Lu1kQOGeGEGdrbjfLwoRWryLATI/5u6dR4ttErkb78SAwUNB +XhPoQTXGjjkXBjTQvpKtbHA+VzEfCXBjwJEnO1+WoCMufw76uo8Bz8cfJ7DR +l6f7ppw8GHD5whojV1sy4XlE17PDkwE1fWl/atF+GX9eWngzYHRsqlpiG9Z7 +gbxGvQ8DKCPbggPRCqSbcWv9GbBopmxdO3pIrLz9ymHMFw3+L2U7MnFDU1aY +EsyAlkaXuni0wx2G6dlQBuzoqIz9hP5Fd/LlhTFAM4q92cAe++EBzTMREQxY +O2onloWeNz1ZOBGF+WuU/3EGPfvLpcwjhgFnckfLbbeTCdKrmrJ3xxlwT1k7 ++gb6sF5ekU08A5r5kdtIO8iERpRwatNJBtQ5NSruR0v8FgrQOc2AhM2kfw/Q +YfT/LMqTcf1+Wr4i78R5e7h1yfJUBpw4nlJ+BN0vlPjq4lkG1Iu/PN2Fbnv8 +NWnheYxP52IvdQeMn/uXjbEZDEj5YLs5CR20Ib73ZyYDYHfamm//v57XFuSd +zYARnxeLNjniPPfpPrMvF9dDR/hXHtpin3O8fT4DhL9Y9f1Fd+4vpbUWMuBR +WhKxcxeeP6DcV/8yA3Ldn96uQkdtO9h5s4QBD2MEioR3Y797/15F8ToDzBZu +PueNtlFZFJV1A+tjdWJ8C3q8iPVYqIIB32lPjio4kYkvMbW02EqMf/mCgGPo +HFldjV+3MD+dtx58h97SGOfgfYcBgmrp+9Y7k4l3j3KD++4x4I7Fmz3paPbB +Uyft6hhAPJV1GUMH0CGt5T4Dgvo8XLa4kAmjzv4U3YcMmL9c4XoFvXOj/Yny +xww4Zz7nzkKH+V32VWjG+vhE9d6zB7+n6a11RisDHuRmBtaiB09OLxd8yoB3 +eSOREq7YX1g/x6PaGPCbZJQYiM4N+1I52c4AB8aFi+3o4PWPvTw6GGB9bbxk +tRvGKzFd8m0X5ucqq9oE9OFSxzqrbgaIF5S2D6AlpiR3POxhQORG4UHDvTjf +ZXV90eplQO2S4PlL6MgfKd4lHzAftn+QnEX/0bD+KvORAR+Xbllnvw/7fYWI +Y8oAA9Jya+0q0FrF/Q+YXxhwcEwtaIE71otjrWzINwa83lBywRMtJHb58NAw +rkfe8tpGdJF4UZ3TdwbwzIs/yu8nEzqX7s61j2H/tlcWiERnTAyuNZ1kgNNo +lVYPWtt27Z7qaczntSZu6zzIROKfnJhVvxhAtXyVkoZ+pqOSlf2bARbOPg++ +ow1NB0qE5zA+iQJT1ANYr06Pb8TOM+DLr9KVl9E6D1+UzNAZsP+JvQsTvfSm +UJYnC63IvODiSSbm/KNj3nEYsEf99ssatIP6qj3WfOwvC3yFJA7ivKC3QPOh +ABM8+9dYBaJ/PVzzT3MhE860TyS3o30Xnqm/LMyE3vm6F6u9cL22aAZJiTCh +++wZsZPohsdyS5NEmaBY4eH0GV1csqNxXpwJO8LNio28yYTkunfOAVJMYEuu +Hs9Gvy2q+D4gw4SmGxL6v9Ez6m8Dd8gywcxFMGn7IczvJbvHW+WZILOV23sT +XRatvU9XgQk/ivhqQj5koqXK79mNFUw4fEIkzgu9sZ+0Rl4J/y+yvLcZ7WrC +jzmrzIRFgfrrFHyxXwv4PmevYULOU5fUY2iFYIPFoWpMSDQ6+f0deqw8YvOQ +BhNSf96z3OBHJpxnVh/drcWEAyLTN86hBYK3/temzYSuu9qLJ9DT+4frDDcy +IVMoNsTKH/vRHK39pi4Tdm94/f4qOswzvUfBgAncXZoWXPS391d6zhsxwfJS +ZuXeADxPnjR6wTNhwiSFJN+Ani5wrQ8zY8JrXkyKzGHMb2fB/BELJjyJZNND +0Yv7TMOdNzPhbFFqUBe6yGWhZbslxvM/xWH1QDLxfZH3EuOt6Ixmt2T0LknX +l5W2TPAr8383hC6vGItbbs+EJaQVO82DcH6bJWtc2MGE4WcDXQVob8WRDp4D +E5plb9jT0FFezt5hu5lwUSHm9e5gPL9+Dvkz7MwEU/qeXXfR+Z060U6uTLjT +Q+0XDcH6dCida9uL9+sy8AxAH8p87me4H+8nbjjZhtZtLuqpOMAEq8bNUcqh +2N8XrdVZ5sUEf6bbggT0RFpYWvohJqz6eSJ7AF0YG9XH9mVCeGOVqtERjM8/ +0+UhAUw4dPbHo2y0t2bbnq+BTJg9sc7xN3rjNspZhxAmyD08ObE9jExUBq6v +JY4wgXTo2+lKtNkj2Xc64Uwou2avJHwU39f39cT1SCZIFLQ1e6O70txo5Ggm ++IbaHWhFZ+x8zEqOZcL9rYOkFeHY3wfm5+dPMEHeJr4sBt3vIDHhl8CEwhzN +7R/QW/uF3/afwvd1/vFPJwJ/f3bknm0SE57dqi7JQF/IuZH66AwTilqTtk+j +U5Y5umimMUH/vj/bJhLnXaOJZUXpTHhcs/f2DbTbkrAPohewfgb2egpEYf4/ +nUqNu8gEHecAygG0WJi7zs8sJqRbnel6jLa3ev7WIwfzu+desvwxMtHkoHW4 +O48JpxWnIRLdVpdJtyjA73fU5/agW3MZcXeLmKB58XyTdjTOH0v9mEpX8Hm8 +ufh0dP6OL8GZV5kQ/Cxw8zi6zfVAP6mUCc8X/BG2isF5w2HW+GgZE659T+m+ +ilY/eClruIIJ1ufW5XPRTTl2w7uqmCCtOHJoXyyeryWXazy9zYR9rRU6D9DZ +v4T9dO8yIfC/eAHKcTLxwla66HoNE253HuoNQy8xMX8hU8+E2IR9Fa/Rsx8u +TJ1uYILSR694zRNkYthSWGjuIROWc2NdUtG9GZVyhxqZOE+XbviOduk/rtTb +zIRLFoOim+Nw/1sXr2RJMOFLmcbUZbRRQ51c3VMmqISe6WShX59QFlrznAkf +muZuu8Zjf8rrmLr0ggl7H0Rk1aNT19x9IdjJBEgSipFOwPvrfigKf4X1bV15 +MBRt8M3Cf6SbCXwVT/su9DL92bW73zKh31rdWOMk1sP2ydEnvUwQ6xZQP4N2 +Nd2Yq9OH3zP6S34E/U/qhfm1j1hvVb+WwCkyETtxb1DqMxN42wRIxeiCrt+R +pwaZ8G9Mjc5A97w5u+D3NyZwyj1/uyTifCdy8qznCNbb3VvTtWj75F7hN9+Z +0KEmOil5mkxUOaWfsBjH/NJJmAhG26eUj1dPMkGDtnCqA31GV8tecYYJnQUl +P9WSyAR4LS8//4sJxlt2ziWhT64+zmD/ZoKUrDR7CB2fYrclaI4JK4wnFlok +Y78uvJg0MM+E+Z5eqSK0etD2pm0MJjgLvV/JQJcIJ888ZDHhO2tivcsZMrEw +xoSiwWVCaL/M5lr0jbdH9P7jY30Qu1wkU3BeU9C0ExZkwYYvZUHBaBm3ILeo +hSygO0gmd6A51w0PfBdmwa3NGVfUUnH/YGe4O4mwQKx/dWMSujY02vGpKAto +Bq8/DaF1hefMdCRYoJl8gWWehueBzoXKV6VYcGr8kGIR2uXFXY4EmQVNZxy3 +MNCJAvQ38bIseJnsdNjlLNbj6cHCGXkWRC8JuVSLztrt5+GuwIJis8vNkun4 +Pcdz5DtXsEBp8/epYLQhM7DDWIkF0+ZbFDrRHwZnwiuUWfDa7YG9+jkysU5D +kSKnwoIXDyxPJqN9h3m3k9VY8OTUeP0wWko013xOgwUln67PWJzHflE98txL +iwWOE1Fqxej3HVPWPdosGHx30JuJ3uh7r9liIwv0Ww9d3XMB6++0oXa1Lgts +ehOG6tD0ladylhuwQMOgdrV0Bta/VebcWSMWPF/C8wtF6/07bMcwwf8f967u +QrtoSRX4mbEgoPLbvMZFMrH875lv7y1YkNgSRU1B/6V2K1puZkHSN5ULo+jU +ZTNONZYsiNX9+ZmaifN9/Eii0lYWnB3sXncF/Tu0vuKCLQseCXeeZKO9J32e +s+1wPd5/fe+WhfGYpQ0c3sECbpD4ugZ0Y3jIRL8DC3b/w2y5hPtDYtdP690s +sMp+OBSGXiVOma5zZgEr1MCiGx1PthtSdmVBXfWry1rZ2M8Kwl5f3MuClKgE +fho6Ky+9luvOguszdofG0JL8wotBB1iw3US3wzIH55m+Gz6fDuL/E/V1rqHp +srd0bA6xQGhmVxEPvabhHq3elwWZV9IX7c8lE4END+tWB7DgXOvXqEdoaeH2 +gMxAFphG7RyTy8PzwvXPsrxgFnz+8cktEn0yhfM46Aiuv1Hi67dodpWW26ej +LNiRZWW14T+clxYE/9wayYKKpSrN59EeKcTx+mMsMPinZDyF5husI62OZYGD +nfF9m3zcH7k18RdPsMBuc4h+GTq9x3mOE8+COH7LfcECvP9tea/AU5gvt7RN +DqIDznHb+0+zQCXoUUsz+vduEVXrMyzY4+u9dXkhnk8ELE7UprLAg9DoiUFT +z17pUErH/L4utr8P/WtQW+rCeRac15WY0isiE/t//9rJykDnaR/PQms//H7G +P4sFq+YDxWbRmeoy999ns6A1sv3q9mLcfzWPf9mcx4LRTVSjKvTwAyXOnXwW +iBz9+GbRZczXJiHKiiIWNJpeDPRFv1q3QeXsZRZEtPoseoZWmb+yjlbCgjbV +veWrrmC/F3fTPnSdBbo5wTYJ6MH9Hmo9N1iwS6dk6jN6/kONvHkFC6rX/Llo +UkImBnzdBKoqWTCZ5W30H1qb5zQqd5sFF67PDf1Dt56vaE66wwKjuBvnd1/F +8wTdJfP3PbxuHWV6Dz2g5+3uUccCc1W/KfFrZGKt9puVnfexfjdHFwehKV0l +A4YPWcB8ctOxAy3L68sofcyCo69YwurXycR/d6M3STWzYCA1pDUZfaAjeSiu +lQVjCgLHR9A2pgIJk0/w/W/fN6SW4vXpWfKeNhb0ep+bv4wefOp0/Wk7C+R8 +Tzew0S63N6zd0MGCuU+FsXtvkIm+rJSbRV0sUJ14b/EAvcXLfdXibqzfho3C +smU4H9LuZUb2sCA56M6bcDQJ0plD71jgsn5nUQ+6XGVq344P2G9UpQ6vL8f9 +4WJv/aN+FqjH/DM+jx49sG2R2gALhrezl0yhM0/v3H3pC9ZDp8o3mwrsV59+ +5PK+skBy6dH7ZeibO2XeBQ6zwH7/0IUFN3G/f9In3D+K/bElPMALHUcx1Lcc +w/j4aFi3osnGevvuTrBgzTEBFcVK7J/Cb2OWT7NgowJv4Qn0oLdMZupP7D/R +Kyc+olUNWSVzsywg3fd+bViF+XHw3E3Pvyy4w+ysz0EvJl5Wdv3D7w12vfIX +HU29X2pEZ0GY/uJ0x1tk4mODU14pkwWpMYPRd9AgUZEoycF89ez3F7tNJq6q +1Pqe4GE8pWl7A9GJvdFbxklseFhnsvMlmr2ILe+0gA1Zodet1KrJBFFgMdYi +xIaWgI3myWgnf+tqzcVsoHaMGo2gBZxkQvKWsMH2QZM+9Q7uX4Y3VQXF2TCx +t1HvCtpmTqQ/RJIN+h+/6XPQviGmiZ+k8fd7NY333cV6iDZTsaawwWthkflD +tNgfGeKeHBtySLrWcvfIhG0j4bxiGRtEomZ3RqK7b9qOpC5nAyOtd987NOVa +dcCcIhsuHPoasLEG4xP7d/zAKjbwtKRiM9AXxRUOdq5mQ5zI4XMz6C5D9bcG +qmzYvGayxK4W5683KzZdU2dD8dXMhpvoqEfcy2KabLh/0/ONcB2ZyGl5xYxe +x4Y/3numfNBfnp3fObqeDadokYueocOvUot36rChNL1RTbkez6+a0yOP9NjQ +sVXT9iR6tfnF1aqGbDDc/SRoEC13e4N7pjEbDN6fytp0n0ww7d+cZ5uyQeVf +wKMCdCMz7IGfORt8P8WO0tHB5+Q/vwU2uN2qk9zTgPn2/jndbAsbdmfJWdSj +KbcSxG9a4fNqr4fKPCAT+8asVpBt2LDKyO1aGNpj/3KVhG1seGxt1NeNfjSw +UHXSng3ywlRx7YdYH2YLlZx3suF6SfjWc+hVu1bItDqyodfkTeIk2m3KgbfW +iQ3KHJdWm0e4vpPXRnNc2CAusYhfhlYSl33Kd2WD7H8j1IWP8XxocLsgcB/m +U8tEsjf6xIbAwA/72ZBxe1kXgc54t0uf6skGcloUWakR+9mIL73Kiw0DMRyP +eHS2RWWdrA8bQsrvVH1G995eefiUHxuOGp9nmjRhfBZ0yE8HsOHInly7fLQ4 ++VarSxAbuOqdl2no8bIXB4kQNvS815xzbiYTO7KU2ZphbEhMfmBXh84raszI +DWfDzQNhN6Rb8HyTn7+cFIX/T3chhaH1nBuvBUazQUvH/0A3Ov6KmvKHWDYM +x5S1rGvF61aDBRDHBuKslPI5tJHEiGhVAhuunrt5ZhLN7DaKpiRi/MtDZmwI +nMe2D39OSMJ8JB10KUc/cBs2mTzDBkrbSWLhE9yPHphmOaVhfsu/1j6EToPf +w83pbLitbHv5CdqxeuE6jQts6Bb9I7HqKc4LH44fuXSRDRbcF6cT0EfjXG5z +stjQqfia8QW9NuS/Eb8cNpjmko5uekYmao5YyrzNY0PSOe/pAnSgy/5NmwrY +EKox589AH+v77lFWxIbX2bVje9rIhEjnt1jJK2womb/qfx9dOOdwMfYqG5qi +WqbIz3EekzO+Mnod19tMNCwc/ZZTWL6jjA0nw1LpPWiZwyduPqhgw6JNeokb +2snEmMaXUuUqNuQ+kxDPQPdxW/PP3cb/6yoUzaB3V69Nnb+D1++4aNm/IBOC +C1Yc8azBeHg9aa588f/5pMCxo44NEUc9di9+SSYO5pVp6TVgfi7SnPRDl/pt +IV1+yAaT7eqnn6PTx8K7hRvZUOvnoqjSgfnwzSQvrJkN5ifrH59Gt0oUug60 +skGgxWrfMPqnSZ6M1VM2SNgLc6AT54mVOi+q2zA+O5klV9C9qSFR8i/Y4Pxb +cSsXLb9xp2JiBxveu0X+cu/C+WvoQ8tUFxuk73HyH6PTdy/a59zNBp2VD6yX +vcL83PbjV3MPGwK6Sv9Fo38mhcer97Lh27enZX3ovKc1QlkfsL8mUfYavMb+ +1V6Wyupng8O3fIkcdM/uXQt8BthQr+DY/hfdveJBzOsveP8Dpqd2dZMJ47FP +44bf2CDzztXsHro+vMnx6jAbzl65yZJ4g/N1nFedyHc2TE6vawxBp7Z2SUaM +sSF45Hv8K/Qonev7ZQJd1bNFqwfnpRnWfetpjGfwb5F09B2H5/w7P9mw1NGq +dwK945On5dLfbIhJeHXF5i3ux26vTyX+ZUOV0tngcrTTUamHU/8wnvuPmwm9 +w345qzXpRGfDvPtVCR+0W/JqSjMTv9+GPfIUTfyjGatx2KBhe+6Rci/2k9lb +rhd5bDA+43jpFPqgnlUYg8SBNHX7kG/o8tinp70WcCDT9YSdxXvcP46vvdgp +xIE68+G1l9FRcydy9RZzIEkwXpSDTs5uyi1ewoHw7p2z+z7geUX+10UhcQ4s +7Nzz4RG63YycHCrJgRrF3OalfTiv168P75fmwNK/Ijej0fYbLfdRKRxoPXI/ +pw+95qiTWaUcBzRa/0sy6Mfzkab3UpllHJhbXBOZg34tGf7r+HIONEYJBMyh +//t8pmVUEZ+3/qzH7o84f226mrZ9FQfO7bN1qUHLTT7bfn81BwbWgIPUJ4x/ +0dySlaocuF4bYn8E/WqB7rMUdQ5Eb3i/rRud1ZsYNbuWAyrPwu20B7B+n/1Q +dlvHAZu8bTvOo1+cOfiSWM+B9Lduu6fRJi//BazV4UDT5at77T6TCX/LsgWX +9DiQukb5UCV66GZkPsuAA+XnBkIXf8F55Iav+iFjDnzhvYrzRzfRjt/rMuUA +o4xxvh0ta/5AT9+cAy2VHiWqg2TCykixphg4MK7LqUtGy1+6qyG0hQOHAt93 +jqK/c8IKQ6wwPjFjo1u+kokfaj7CfVs5cDRVl38N/bzlXLDFNnx+y8MVAt8w +vsemXpXbc+CiTazZQfQO7ml1yZ0cYNtFHmhFz5Dc4qIdOdD2p/L0yiEyEaIT +3PVtNwemfRQq49FfTZ9SbF04sOP187df/n/9+X63e64YX6fbnE3DZOLPWYu8 +pfs4kK3cvbYIPbM+sPvUfg54emrtZaEnPUZIkwc4YG7Ylr53hEws66rU3uXF +gTVv8lse/t/Lnzk/OoTr71T5T34U4ymoc0zZjwOm0/ProtEzqrSsswEcCCAS +/PvQ7htkb/4J5MAbtuUNg+9kYs+rzId7QzgQ1G49moN2vRH07MkRDjhtS1b5 +h5YOvvlybTgHyqr5/k4/MH9btr3MiuRAwoqH1bVo6Z27nzKPceBPS/W89Bj2 ++5dtDV6xHFBsGYKjaMnnpWUdJzhgYrnrfA86kPcnQyeBA4ej+QMbxsnEfUpt +eMEpDrxMmta6iM6vHnMUSOLAlSzZk7/QRtGX1h4+w4FlnfHvd0yQiSSZh5ye +VA4E7lFZV43u1NrXaZzOgXZPkRSxSTLxMODEpavnORAvqT0ShDY8vNJl8UUO +vM24SO1CZ3+0lgnL4sBfYZ1rmlPYvzz+dfRnc4B6TXphOrqueF0c5HFAKFXn +8CTa3/CPRkU+B5KHM3tsp3GeeW/VI1HEAdWBDaY30YzlmuHHLnPArFCifNEM +mfCrLpX4WoLva69N8Ud/3FBfZn2dA8py55Pb0c6WB4yqb3CAUNGiq/7E+SP9 +xjNKBQdcri4JPoOuqTprF1fJActazdHv6P1bpV6N3uKAVPK5/Va/yMQGrqmt +/R2ML2h/LEWfjxJrrb3HgU9iUnsWzGK+7UjdqFDHgXdy+n3e6F7VO8WJ9zkQ +m1Lg9hQteD1pweQDDmw/Qx1U/o37tecSX8fH+HuztT6JaJ8F1k8eNHGgsM/p +5xA6RctwqVIrBzTjiBjqH6yXyKHDKU84IOh6RPgqWiV+a8PPZxx4n3kwj49+ +9zOQ69yOv3fK0fD8i+f7vY7Q9JIDuS+WNLegm32YJ9Z0ceC+fJvTyjns/zUB +demvOWAcQszEoxN6r/748wb7wx9+6iDa8cgNmb3vODDSfVrV/B/m56pjpsR7 +Dviv3/a8GC2RstRDvZ8DXBMnfw76gWnG8YxPHLBafk10/zyZOPzx06X5zxxg +sXVrG9GSXG7Z/q9Y/0Ii7stpZOKsNbfu2RB+v/ca4RPoEbuBJs1RDhwwO103 +gD566z8i6wcHgptUD5nSycQ1vlErY5wDT8QkZAvRv4eaH3pO4fq6bupgostn +tKrbZzgQ+rz65F4Gzl/NycXasxyISvQ1foQuHutMyfnDAcp977mlTMyHxQLB +7DkOKKSX3YtBr3u4drs3jQMnNNeHfUR7pduodzA4sJLg6Biz8Py32oO7gc2B +15HStP/QzxaFdOdxOVAcHtxER9uOxRZy+RzwHhU/48rG77dJ8fIR5IL0n3mH +B2jey5w1XQu5UPNcRVGeg8/nVAzpLOKC3rnCmWPo9JNP8/NFuJAX5NrSh64c +HLPni3JhMNP9kiEX4/9InuUrwQV51YqAPPT3YtfSV1JcsNltupmGHllTaaNH +5sKRLbIr9vDIxK0fEuMFslyoVzJm3kfrHzmXSFrKBS1K6UdZPubnfmV5fwUu +jG3b8zgKbW/RW/F6BRdYU7uufEA/u1mqp6/EhQLlvGQDEoVI0s19XKjMhWH5 +NSG56LV+VWYCKlz4S2e4zqN533488lfjgsiMvLWLAIW4v8FOt1uDC9tXntK/ +jxb+8alMX4sLPx/qqMkKUoibl/6jFGlzYc3YOoUotEPPmQSBjVzQ7Tkq9QFt +o1kx6q/Lhd3XSCIGCyhEuR7PslufC8+SPi3IRX+NvVCib8SFj9c4pHl04UVX +WqEJF/pVA0kuCymE2GJPWwEzLgiYrha8j6YeLc/1t+BC62JVYVkhCpHqvvHr +ayoXXJvCxaLQgbv4yvqWXFh9UlT2A3rrpKxXoTUX0k/MKhkIU4gzNceKSLZc +mPq8UjsX3aSj8tbPjgvlnQVm82ghkrLg6+1cWBl+cKfLIgqhUHFkvZ4Dvg8n +3Ps+2qBWZk/BLvy+3LcxsospBL1WLJbvxIUi37isKHSw3sH/fPdw4Up+xO0P +aHK7ZE2XGxduuz3oMBChECd/K7bruHNhW4/NZC76uNWFvv88uPBrraooDT2w +7eAI15MLppkOG/YsoRD1mQWTh7y5cE37hUsDOufKppkOHy40rjufICdKIfQW +bZva4M8FtYdXKo+hJ+3bRnMPcyGUxevrQ4tx7n5kB3Fxfq0WNhKjEAtLJTq8 +QrnA21Fp/B96WedI/YswLmTXzwXT0c7c9cXaEVy4EHe+1FWcQow0zydkR3Eh +rSfiywN07WUTD2Y0F+w/V8ovlaAQ3UpcQ8/jXDj2Yr1LDPpZ7xax53FcaGoV +zP2IrjYTH9Q8yYXfv1T7jSUpBOvrgcrMRC48PJm/vAC9abvpUVoSF74V7/Nm +ooWEr+vvT+GCytHgW3ulKIRWTv7ckzQueKh30x6hvyWsuqN+jgt2UyetFKQp +xBN7M58LF/B53xNzjqOPnPwlO3cR12Pz+7EB9NQNk2dul7hwRyt60yYZClFi +sSq4JYcLPa8DLxWhI3puSKn8h/m/++40G2090nHvbAEX5n5Y2ewnU4gadtb2 +2SKsvxqtsib040L+qPMVzPfhQ0KKFAphaScb/fgqF0xKfvrHo+cyPgitKuXC +hFzHq0G03eiWzDNlXFgaQdOzkKUQHh885aYruDDwNeryFXTXyPp8xyoubDxj +I8JHx2bVyjbc5oJkVlC0pxzG+8DPjOV3uZCgPTLeig7+OLwgsYYL/525tW+V +PIVgx1yKHKvjwsG2F29O/d9NAsP2DVz4QzGyGUYf1tHdVvOQCz7XmcTmpRQi +zUmtWq6RC6//kzS/jt5eMiQW18wF51WxjYLLKNiPDgUMt3JB3N/Q7BDas6Om +detT7G//2bQ+Q3+qeC1zuw3X8/NtKxUFjOeDR17SL7jgdtDvVTKaHhlz+1gH +FzocIvf8QC/yEpv73MWFvR/6RqyXUwg+N9pgczcXbFdkHC1Hp3Q0R5T3YLwc +CgUXrcDvg6Fq0V7sf0XsXH/0jcHh0bAPXFDUrNV6ic7Qei7b14/rr97yTEMR +3+faectNA1zY0qJ04Cx6qsE05OoXLuxT6GdNol/+fntJ6BsXev2+F9itxH7U +4VwfOIz9843NplvojcTzt29GsZ8nCHwTVaIQGg7q0/pjXGi4Kn0mGE2lnSAV +TnCBOBij/Rrtuq5dmj+F9TRl8FF7FYWIDFus5POTC0EBdmcy0PXm1hods1z4 +LtygP4uOkTypvf4vvv+fmDEHZQrhffDh+ux/WF+7swvvoV9WzWkxaFyo2CO0 +S3o1hVjqr6fqweTCkrVvRMLRjkuPKzxlc0Fp/nfbO/Q/7U5RdR7+fyzwtN4a +7BeqasxzJB40a5hvyUGLnMgc+S3IA79x/4XzaMUy0ZcuQjyQ2jn90kUF33d5 +YeXjRTzYkfbiYgNa0sMiVWkJD94+4bjJq1KIHwOsg8liPNBXO6cSg7aRfGc4 +KcED8nD434/o25Hti3dK80B7Zf1TEzWsx+SBvloyD9aIOOQWordVSl2Tl+NB +w2vLQDY6OTjIP24pD5L/u7R5vzqF2GD6c+2wAg8OXtq0vBkdn5I/Ya3Ig8VT +FnRFDQpR+eZIaZUSD9Q7iz8koHecidonuZoHZQdcGr6hC1fdFo9U4YFZb0AB +dS2FGJeTa/6oxoMHTv0J19BqX+8HmK/lwbzoNT9BTQpxbOaC1HUtHnSotzse +QrfevVovvJ4H0r1bzdvQJ0t/Owdt5EGxyZp1qlqYryan/rzR5UFwqrtiClps +cle6vgEPnCZmpcbRJ1YFKBUY8cAibUjYdh0+z+n5Pa4Jvm+2Nv8m2osVZOFt +xgOmfj9TRBvz/cyBl+0WGI+CQVogmhNYslNrMw9sflJpXegqWZ23Fy158Mxd +gLFuPe7HPFnHf9Y8UJNW4lxAW+c4drnZ8uCISaHgLPrDjtEtzXY8qCVFiDpu +wPfN6mlQ3sEDoexKuRr0708K6ikOPIhbYaEisxHjWdiWPbWLB4odG/Uj0ObG +PZydzjxY/Txx63t04Dqqd90eHhSY6bgb6OD6Tcu1ye/lwXV3CM9Dj3zcszrO +nQfHd94+R0dbhAjGD3nwYPPmmAo3XQqhJL/ivdVBHqw9WPr8EdrOuly90psH +h/u1xxT0KMQ579JocV8e2PbKi8ShC0dk247682DypNf6QbSRDkm87zAProqI +7rHQx9+3+uw2DeZBXTHlVAlakmOdcyWUByG+CbdJBrieduXvBI9ivmTafvZC +m6uniftH8IBlGyH2DG3176dVVxR+fxMPVAwpRLTGQMyGGB78kpuOOoPO1XSo +zD7Og6Zk4ztjaEMfhz56HA9Ad3zCxgjraesg3/0kD4bs6aqVaI45W5VIxPjy +AnyXGFOIv7W3bFWSeaAVZVYRhB6T+eOflsKDh4NHp1+h616+TppJ44Gqj4ju +ehMK0bHFqtjxHA/Y+gtOXER7f99TU38Bvy/Os/03elRp8bOlmTx46b+SstsU +93f3fW/jLvGgfTXVpw7tRXL8MpTDA+uBtgbKJgrhHzc9avUfD/oe3xY9hs4y +3jBxs4AHv3/TvfvRlGLFSbFizNfK8iZjM+xX4o/Gwq7w4LzUo6WF6BL2guH3 +V3mg57Qhmo1++4b00bgU3++yyMf95hSicbKmq7iMB1mKtpta0C6PljWRbvKg +kDd1VcmCQiy5YVrpU8WDlpC/ixPRv8jy2S9v83A/ORAxgo4Kqoldd5cHkZUb +hiyBQpxaKuaRWYP96I2vQxn6XPxa8391mE+GAk+Eqdj/OaIKbg08iBUVNAhA +fxNqmGt8yAPZEwG3OtCHBTQ7lRp5YFyrr6K1GfPROvByUjMPbg/6lZxHt22N +DRlv5YG9Jn/FL/Ssz15T+6c8+NHGLXbYgvUgJL7wbhsPjg54K9WgD+Xkdcq8 +4AHx3/obMpYU4lYg48KxDh60rfXSikT3zuvvHOjCemtm1X9Ab83ZKWrRzYNb +J9lUIysKQbpn8/xaD16/fOhNPvrmrdVxQr08qLLUO8hCfxwf3nD4Aw8iSgLn +3K0phH5H6tCrflzfQZGzzWiPe3IZGwd4kKklray0lUJoL8kyzvnCA+79U42n +0DfWMb/Rv/JAosrNbQR94OyuZPdhHnzUL6Bb2lAIIrhYtXUU45m0paAMrbfz +y7PVYzz4+dTZfJEtfm8S2TNlggdJq3pGA9AOUVb0ySns5x315zvRu5KOnt/x +kweOU4LG67Zh/otcXlkzy4N/9x7/uIDeF9hRTfmL9Wr3JXcW3SfONIn5x4OM +UX/bXXZ4fti5/tlnGg8Eqjy4tWiD9KBtwMT172yup9hjP1Wve3WdzYPtEWmh +x9DFpxbtEOZhvHuaNT+ixdiBnYdJfDgkdWDSZDuFOD37zeq1IB8yPQ9XFaGD +GwOaNgrxoXT6WwgXrftykU7OIj5MDD/R89xBIWZCWq/TRfjQeESSQ6AzllyS +dhfjQ+rTl+2rd1KI/ezE+BYJPtxe9Cs7Ge1dmjWmLM2Hc8EnD42hN3g8236G +zIeClfEGtg7/37+W3ZuQ5YOD/bhIFVrreJ7U9qV8UFjVMiTqSCGkrpiF3lXg +Q2CnwOMQdDxVokNGkQ+fomtz36AtXosrH1Piw0eXngidXbje+ebHPinzYTbL +3TkbPcsreWmmwoebe52N5tGuHkZLr6rx4fLA4xWuu7FeJIV9F6zlg/eWiwsf +oTtCJO76afEhvuXtLwUnrJ/Pu2kd2nyoiDv9OQ49UfXBVHsjH8KqrnV+RZtZ +FMRl6vIhIWpDE9WZQqTPlDTO6fPhtOi6e9fRfhIz9D1GfNAs/K98oQv2R8FT +Oo9N+KDlEF7ih2avPBCgaIbX3ZoKX6KfPUkrPmXBB/pIVL7mHqw3c8HuUSof +nBRL8s+juXOvOFst+TCtb1z0C21gMK1RZc2HctfNVx1d8ft9PHeL2/Jhc93j +ilq00jut2DA7PqRH3aihuGE/7t99uXc7H3xf8ZqPoeve9rUYOuB6/+h49RE9 +QX48WLCLD2qzQl9N9+J5hcVjcpz40CpX96cYrfexgnxwDx8i0t8u4qMDhB5o +PnPjg1KM1yqvfRTi8+f1oObOh1rxQ5ueoVffk9511gPvF9vnpupOIQQ/ex2c +8eRDzERjTCp6pl45xMGbD/lnyUWT6JZ0p+haHz4kpQ+22u/H88tjZoKsPx/2 +L1MYr0bP/CeXHHOYD8t8OqSkPPB9TtxO+RzEh/b8abNwNOtBc4pFKB+Sf5wK +eo8+WrY9+VoYfm/M2WLDAxTiSpb7yYURmK8nhXry0V39M9H+UXwQXjsvxEaH +dwiGdkbzYXGpm4WHJ/7+SYmX9nE+NC3fGNuKfrO4fXdmHB/snpxoUD5IIZ7y +ozfPJfBh5skmWhK6f/aB9p5EPnywDzMeQ3/YmCb/KIkPRheWxdt6UYiLctO8 +5Sl88Ks3aqtCP/s7MpqQxofi2U5xcW+cP5aGtw+n82FpSO/eI+jc/sJyqwt8 +MHbfdfMt2i7dM7niIh/sJ6yYeocohM7Jp55LLvHhypY72/PQv4TajUNy+JCW +f+E6A80+GizZk8eHE0tHWft8KASD8nBUt4AP3b/vuDSjT22+dT+3iA+TDn9q +lXwphPo22zOMy3ww9amSOY2Wisra7X4VvX8g8jv60Kqzii3X+eDml/hpqx/O +TwU6Y6vK+LCgpoRaie7XvHA7qYIPXYEGVaL+FEJW60rYWCUftJ9ukQtFS0/4 +6W67zYeqHy+Se9DX6yf/3LrDh74Fz+d1AzC/32vclajhg4296eFcdEi5WuDR +OvyeKfVvdPThoz9Wv7/PB3WpDNd9hynEoxT/T4YP+TA4FfyuCc3RvXuh4DEf +zCrbHJQCKcTi5y3AaeLDeGzum0S07sX82QOtfCg6923Xd3TaF4vLT57wgSRe +2rc1iEJMM+tsVdpwvdcNeVSi1xix/qS0Y79Y9t+4aDCF2DNILph8yYe9gi8j +QtFamxdYbO/iQ51shOBbtMDNzqE7r/ngfzo/Wy+EQnQGBCdK9/BhV7Sxeh56 +5tmUUuQ7Pmxa49TMCPl//7Ft6nuP+VM/4eIeiuef3JQ9Jv1Y7+7M383oVVdu +/ir6hPGwxuPNEZy34u4l8z5jvVw7vz4JvSji6lKvr3yglki+/YHO6jte9WyI +D+tCJI7ZhlGI0qnNpmqjfLAyPat4C90kyHiR9gP7l8GpF+JHKcTVgyVO0+N8 +aL4wFxGGJjmbDu6Y4oNK+OjqXvRGzS6fezOYn9KO7w3CKcROVecpmVk+mBSZ +pOWjf+f1h0T9wfhZXLVgoze3u872z6HXJtM9IigEk9Qfakrjg+25H7UEem+K +60wxA6/ntIWticT1rPrsz2dhPMKVdVLQmXW+w15cPsi4cOYm0FXDdLc2Ph+I +IJdH9lEUYou1nT9ZgEQN+LEu8Q66hrXympUgiWr657S99DGsLx32p6gFJOre +FtelkWiu+JB0xUISVTHu1ngfuvFBt+1HIRK1Zm/CI5NoCmG562WCyCISdXtK +z4VidCX7dZ3pYhLVRee6Dx+t8GVoPEiERBVOnzP3jqEQk8sEl19eQqJea21b +9hx9sVd3R7coiZohIMdQj/3/+TAygS9Goq49Of4xHX1354s7GyVI1DZ/k6af +6Dcu2l+9JEnUlinR647HKYSxf4VYthSJetHIM70OXV1paNomTaLmxutFyZ3A +/cr0i9+8DIlqOZPmHYsG84JLahQSVb7Oc/cXdMTH0GZXWRI1TeChFcRRCJV1 +B8bT5EhU0qJLJtfRwu4BUo/lSdSVcz83CsXj+SI9w3h6KYnqOd+lGYA+/Omt +5woFEtXBfJ16F5p1WC9lx3ISNYYlobY+gUI4Hai/lbCCRD21P1I9C+322aXn +riKJyry0X+sfuk5g2b+hlSRq9OsXOq4nKcSD3zw5mVUkasOmBtPHaNU3i00s +lUlUO3GNrYqncN57ZLQvcjWJOn1U0fkUeun788fL1pCoFgV5PqPom1SRwj4V +EnVRXXb01kSc/1bdebhIjUTl/6JcqESLZsf1GauTqN/iFMrETmO/bIqaO6yB +73v+RusRdGNToWTRWhI1fUfdl3dom5oZzVeaJOrg7FaOQRKed54EW3O1SNTd +pZ4rC9CNois812vj+/7H3cJBE9XsaM/1JOovzqpAz2SMZ6dYZuYGEvWNYGf2 +U/SVJMeKJxsxXz4xWlXP4HmK9aL5rw6uz73qX2locfvI3jV6JGrZgwmlGfSK +wj0TzvokaoRSlZNDCs57QmGcMwYkaqH837O16GXVTyQfGJKo5B7iqWwqhbCv +2756wgifHyPHi0HP68voLzMhUVW3zG36gq7ZTba2MyVRu91d4yCNQjzfsMvl +xCYSdXR+S+t1tML4K5/bZpg/1IaFwmcphGJhasSgOYk6H1Sz/TC6MPB0ogSQ +qNI39f97hb5ytCUDqCSquir1+4Z0ChHbZ1YUtplEtSe/18tGr6nnlV/bgvG5 +/vsMDa2qIVT7zpJEPbsgb2DvOZyXnHc1LbAmUUX92nSa0Yvdvj/X30qiRrJO +nFt1HvcTh9ZuXxsS9ffvpvEkdPze0b48WxL1R2zq1nG0Y+Gury+24f2ef66w +u4Dzg6boD4Yd1s/Cx6J30D1rpafXbsf4+K0Ol86gEH8e+vzet4NEfbBc9nMk +Wv2v8Py5nSSqm8ulrR/RE3QGo8mBRHW3LKzfdBHn3bFNnJ+OJKqhnLZqCdp8 +oIe3cjd+H88uXzAT97/5hyRHJxKVrvVP3A+tt2teINGZRH33RiOlA90ikSpY +60KigsIkSTuLQsTYHREc3UOiPt1kkJCJHlh9V4DiRqL2+Ijz5tBptTYk672Y +v+1HT7lewvpebsqL2keijl/0FmpELzyWyi53x3z+++38ymwKUT66kdG/n0T9 +qzQldxrtesro3+IDJOoum8TSH+gXfsWzJp4k6sOCMt1tObj/Pzg4FXiQRP1k +49p2G12RceZ7kReJ6no6z00ql0LIC4t9feVNog7FHpqNQDtT5/u4h7BfeLak +9aPdnLa8We9Lor73rlDZlIf7xcF/7Z5++D33Vz67gt5+Wqwl059ELUlT8RH8 +j0IMfjhX/yQA61Ps0SI/9KaYiKq/h0lU76NfqjvQkafbStYE4XpOZOzRzsd+ +Sj6V4xxMop4u7RHIQq+2qUg7E0Ki6r+7dvcf+q/RpriGUBK1q0zwoFsBvt8C +8yPjR0hUZYc5mSa0elu119KjJKoxP+KlUiF+f16G07ZwEnVyLPlUEtogb8jq +eASJqmGktmkcXTV0w+BWJInKWuXGsCvC8/f5L6pforC+Pyg8vIOuepgmKx6N +zz8TelymGPMtsWqhRQzWn5cT/I9CO4+mqosCAP6GewlliPdQiZBKyNBEaJOk +kCIVlbGQoqRMISEqERqEZIoSoUQZu8YQqUTmIZK5EBXSt78/f8t79517zp7O +WtzQkQvaU86eNEiOreFoQycamPTGe+H+H//wXiMO5+frHe/eX8R4G3WMS0T3 +1HYX0n1osHDi7mnyAebrBovHyr402EY/oHkSXfj+8G3bSxjP35OX1qPX176/ +dNsP12sTNKQYj/erzW8cKy/TQOn6XNlttOIGDdMZfxq03WPG/0bLvFPZviYQ +4/f1A5+jCThPbMhYe/gKvp9CvQWF9j31SOBaEA2mRG5qSyfivB8vM5sfTAPP +zP61V9E6/bJfhq9ifZZ4JzCKNtufW7P8Og2eJOr/NUrC+km+yTYIocGo9bGR +HHQCyzrK5wYNlt5idggnC1FL4wN9MkNpcMlOs+EiOvylsm13GA3ilvBWdqPN +fE/r8YfToDz/XPGOh0LU7UUq8loRNHC5f/rVI3SGa7DAuUgaCH2by+VJEaL6 +Gx2nk27h+7+VyDuDZu/qamm8TQMRr/ZXjehzX78UEnexfq+WK9mSivNipeeD +TVEYHwtLq2LRr+gP/ezu0eD2lvD3/9DtOTY2UdE0OEV/2Gn7CNf/K29HdQzG +R+jesTfoyu5E6T+xGL+84f/WP8Z55qo0KRtHA41cB6FwdBE3fDV/gP09p2X9 +T7SXz3RFSDx+Xq1n5+E0nE/ndj4sSqBBrvclmyL06xjlgLFEGpxIz7ss8QTv +O+eLrFcm0+DY7yvJgej8pP7tRg9psPvO2JtBdI9qhphfCg0WvRgbN0jH+eug +0Fx2Kg0OBgWJPEMbLFnZ0vuIBnMar3RYGZi/7rUvlqbRoHFxgKsn+v3TZRE7 +ntAgQ/rbw050dRWf0/l0fN+X/S1aT3G+bn2il5JBg66Zi3yp6AjamFTzUxr8 +FXqqx52J/W7f5wWOLBrk7PAIdEb39Ti2bsnGz7/oLPuInq59nOPwDOeVmE7m +lizcL6nI0OjnNHgu47ErFh3Bsda+Ngf3K+Rp6D+0cvApmHtBA9VZn2bbbCGq +pfCYqFweDYpThlZVo71e/5s4+pIGda9/nJF7hvNOsnFt6CuMB69bVDhaNOhQ +Ukk+1hvOj4LT6G5PPq/vBVjPYzJOmj3HeSny4n6JIhro2EqVFaPPjN5fu78Y +8/POZjHJHMyv2PP/LpfQQNt2wCsIffwFs/n5axocX1BuH0bbGeln9FFYL6JX +aBq9wPy6YuAvVEYDwi45OQfN57jo8M5yGnBFveERyRWinvP7ybtV0OCyxTU3 +b3TP7ReMR5U0qBof7OtByy969PlzFdYjrwGTnXlClHHQ4YxF1VhPlf2r0tDb +VtT6qdbQ4Jx+0TbelziPDs8fcKylgczM7ZxzaGp+Ym3sWxqcPLFY4TNa/MyT ++bd1NIh9K5m+7RXGn8ma9/P1WC+OtMgmoH+WnUyWb8D6riv/lMgXoswbzrlZ +vMf6Sa1SPon+G7Fj980PNJCay82vR1cs61xOfaSB5LrhHcoFQlReIIz/aMR6 +5F3y/i56oseZWtWE57dOxWoOHa97MtK4GechK71Jy0KMnzeKxwM+4/pNF4Iq +0KM+VZtetNAgWM105boiIareaz3n11Ya+GgbvgpFLzRatbDasf7EDxyYRO+7 +b5+m20GDtCurfh4sxvMZAS/3ThooyCzcKUSPfhrb87gL+/ELbzWJEiEq+9SZ +5a3dNGi2iesNRP+tqBrh6qWB3XGrkCG0y6+fhWpfaPBlpHLL3tdCVJTgXMip +Puyfcu8GnqN3bGg7cr+fBg8Ped4TpoSoaOtb6+u/0uBu4hsDb3TDqzVzfwdo +UKqez+xF++vfq1UYxHw4srd4ZynWd8WBaMshnG+Ugz2foK+7LT0ZPozxPGm7 +la9MiGJuXLm1dATPu6H/jyt6uTc35+QoxvMcV0kL+ohtS5PkOA100xsDNcpx +f/5efWjyHesjv/beJHSnuZhr4A8aXLEwXcZZIUQ9jLyrlTtBA+vqJUOn0IG5 +03wDkzjPXD5V8B7d07yti/2TBsOFzmGbKvF+vcQxY9c0DfLThU/EoOknL3t5 +zOB9IcBO8x/65by/XtovGmxwP7LseJUQFdp+ht32G+tr/szv6qr/7yO7+7ln +cT7z3tom/wbjtYbv+bY5GsC0REkk+udcxaXT89gvTLMf/kKLVZ40jPuL5/lh +IPRotRBlpfZv2bsFGry4X+FZir7nEDS48A/XP7TbQaZGiBK0p+VtoNNBZ8TN +LATNu8s5wIpBh+omfcMfaE7RD/simHTY1lG9w7RWiCr+vm5lGUGH70rj6gVo +lW7PkUmSDie4i7aKvxWi6n6VvpLipMPEPeUtgWhpA2bQgUV04BIw3jqEXhjX +NLnCRYflqcvU99ZhP564IJHHTYfHITe0c9ChJ9LGBnjooDT9SF+kXohyPtJW +ILyEDuvZTod80IuGuK7q8dJBWbLjxBf0yhWqpp58dHhvMO226x2eB9dJySf8 +dLha8+p6BnqgKOZ7mwAdeOpkEgUahCg5o4YiHkE6jAZvL3BDr3vLeV1diA7N +iszmdnSv7s5DTiw62M66/IT3QlTXh6vSD9h0MBa5wUpFm/o0TrwTpsO+kv2q +PB+EqFWHZV7/E6GDgES55Vl0g7v/DcVldLB26bnahB4bHDSzXk4H5kDaC7WP +QtQwZb4mcgUd8p6J98Wj5Xlbf5aJ0WH7Im0hshHn567jZVMr6RAuJqDniG7e +9e+mtAQdXFeH+jagTxxKO2a6ig6FJnkvN37C+V38+PogSdz/jhtT0eg9zxT/ +5EnheU7xK/9DDy/jf/NNmg7mddqux5uEqFtOzDsiMnQIjpV8WYNOzeex3b2G +Di23s/8qNOP78csqea2lg/boqO5ttKaf5b8n6+hQ3vQ58g/6iOjT+nZZOnhf +cem1+CxE3RkXvL9Yjg6OGwqUK9AhS+44asjT4R7n86B1LULUwSAlVWcFOoC2 +WWcYOtxxmDN+Ax0cBLM3/0R7VlDNDYp0UM/KizRrFaJ+peem0JTp0L3baaIE +Pb2u9rySCh0ihT8ZS7cJUbD/3w6bjXQIMBjJu4YOVzooeGsTfn5Fjth39KnW +hi/lm+kwW7Q++EC7ENVxyOn5zy104LM2ncpH04s3+K9Wxf3SULQR78B4FhYx +PqhGh0NBRY2BaCXPNZLB2+igenZ21zA6fMRi8qU6rnfDcIlRJ9Yr/9dlgxp0 +UPgdsjUXHW+w55bodjz/f90vlnVh/zSlHd8DdDjpMaDih36f/WXjRS06PLkX +n/sVnX9ykszQpoPJbR41/W4h6kq44ueOHXRoj5ctzUZLqTx4vGQnHWq+z+9h +9+A8Z63upamL8fDK//NFtMi6xQZndtHhk0KRXS/a6R7vygQ9zKfgtN+6vULU +u2KdH+930+HP9J7QDLTTk6wyuj4dWNkJ0ku/YP+233dH2YAOwsNPStzRZznX +OtgaYr60nDzSic6M2rLt9l46qGV3zmr34fwv7cdbaUSHjykccY/R94sZX6b3 +0YEc79fi7ReiSl2oXBljjKdijyFXtKpBwbVDJpifu8tutaJJi4ljVw/QobKy +FLZ/xfh7bqecb4r54OD+4yH6pNlyzuGD+D7H+5K4B3B+OMbfsewwHRZNkIfP +oi0bdJ/pm9HBXaubrxntXvQ6yNucDktDztRu+4bvp+R99OkROpQwXgYnop23 ++Sh3HaWDc2fuLs5BISr9W/kiPgs6cO87ze2Ezt+xv3u7JR2SbrY1fETvsZLJ +O2tFh1UfaPe2DmE+6uiEJlrT4e7ubpsH6FJGxvGPNnTgV3BTJIYxHpIt1JnH +6fAwp5LmiPbackxo4wk6HON719iANql9PHrcjg4H3W6mbRrB93HUrrxjT4dS +MW7/2P8tuf5BlQMdXqppHqOPClHf/tm6/zqJ9YIht80efY1vfN/aU3QgnjQu +r0e7WNbKmp2mQ73dpn/KYzgPzf4hrjvRYdpp/9d7aJ0xn+4CZzpQP9e8W0Cn +6x4qGDmD+aGYn398HOsrf/CdFS50CDpIPq5FN5ryuhiew/27vzha8TvOr2vH +DXxd6RC2ueHGXXR4xJp1WefpYHbEMGAevSq2kOy5QId324O9bX7g75umf+F3 +p4OdqI9HNXq25tdrLQ86BIptcFeYEKJqiaS4c550eHQ5zuM2WlMw/WKyF/aP +i9Xes+jbC4Lmny5ivdmeHWA1ifX5c+dW0gfjlTANrUKfTuUS2exLh5W0l9Fy +UzgPut/7ZXeJDpN2zY8j0S9NQz5H+dGBdian4Dea06jvZfVlOrQa7m2w+ClE +zTgl3vvjT4dNqo8GKtAFRVWesoF0eGFXQls/jfu168CRI1ewHy2+LRaBXrJc +X+NGEMa3xVqNX+iz2hnixcF0GLx90fLYDN6/3ngwxq/SYa4vNLAcfTP32deV +17EeXrbMWPcL75+ih2uMQugg+fBH8030zN/TT/1u0KHHT4uYQfOfmoh4FkqH +z4bGG4/+xn5zbsDtSxgdGkDKvgytKGp4VDAcz+/mi/tr/+C8fkpGWycC8/0s +R1MYOv+C69oLkRh/oqL802hDrU18qbewnr8eNTwyi/NG++mZ5tt0MIq+HFaK +ttBf3sV5lw7DHZ8/rJnD+ee+VtXWKOwv1HfhMPRwe0/myXt02OtZY/UTfXDp +bFRMNB1Wa57IMJ/H+UAv7PLbGDp80CmfpdAXQx+cmo+lw+XyPv01f3HeHVh/ +UD6ODvo/quJD0VFWW7QsHtDBgO40M4W25SiTuxlPh9dyzUbmC0LUsy91IlQC +9ufHjAwK3fL3MDmRSIf09EnuNf+EKHsb+8lVyZhPp1JPh6LPLfvTbfyQDuMr +V36YQn9W5HsXkILnM2e21ZzGouafPil6kUqHuK3mSRTaNbYu/esjOjzlEedb +Q2dROwm3WHYa7k/6Y99Q9NeJRyG7nmC+GP76MYUOOWfr7ZFOh5/reOzMGSzq +0tU0p7QMXO+F/k4KvQQuWrY9pUOtfcDhNUwW9edh636eLDp4bh5sCkU7lVTq +qGfTwVJE8OBPdHgUbHV6hs/bQbSaEyzq/BZ9uQfP6VD0vdCiFN3/eECiIYcO +B4zVvq0hWVTTtCCblkuHHUmXzoWh76z9xKOU9/98c4M2jRbftZZh85IOsf2W +EUc4WFTzEYE/ka9w/tCZky5DT50J/1GeT4eRUxaFazlZFFdY6uDPAjrwRl47 +cBN9vuhA7+oiOlwf8/4xjY7guN92sBjjJ3frzaOLWFTgeZ9PwSW4HvFixXL0 +Dt7Zd69eY37acjet42JRwZ1La4cozOeXEt7haHK4unJZGdZrE5rML/RzDbEy +/XKs96fTPh7jZlHJvfyvvSuwXm1b4V+BXtvxsOhpJdaP6cMb1/OwqNytbQVd +VXSw+Wg5FIEOmX+Wz1eN8x2XUuJvNPdG+XyowfN/X3fEcjGLUugzyHeppUOO +pYpoFbqRtbQg6S0dLowdb5VbwqKGP/oUNtbhfmdb37+F9pSKKCbe0WFD7zqb +WfRfPkNqUwM+P7dY1pqXRaXHPi+3e0+HLcfFZt6gez+VvYn6gPmyeneFAh+L +0irzrav+iPPFBq07d9DhDt8+/Gmkg24BeXIePfnp72fZJvz7/N3ttvwsqoi7 +vOtIM8ab/LRILVpHaOvAjc90eBsoMa0owKKW/Tk2XtyC31cV/RSFHn296dd4 +Kx2O+HfnLqBLz1I0iXY8zyjXmBNLWZT/0n/c+zvoEJXVdLkOLZQ9yfLvpIMb +g+O0iiCLqth7f1VOF37/DWEWgz4yMy/f302HO5s+6tGFWNTVDNY2Vi8dngU6 +b3NAO3p909P9gvV9tFWxAb3O0fWQex8d5JOF1m1m4X54F9g97sfv966UjkNv +LSl2a/1Kh7Ku36sINou6vNE3mPsb9v+PSZKn0MTQ/L1tg3S4P7VC5iP6fpda ++ukhPA8vezlVYRaVtVK1JG4Y5+UH/psS0GXZvz+8G8H5IspZi1ME9yPaa+Df +KM4D99fvc0Ybfnk9pzhOB4uv+dZN6MmIGgGb73TY80TUTV2URY1n3Ft76wfO +P5L6oclo4e0KUDGB8Ry09xH3MhbWp5DD05MYv0ukK1zQl5uyXWR+0oHj+9u+ +FrT7cHzIoWmMN1tdDliO+33DLPXqDNanpFvrH6EVqrpK839hfe3LMeFdgfEa +o9g1/Bv3x/KR7wX0JN++ueWzON8YOmd0oJ8paooaztGB/nVR5w4xFsW3MLfF +d54O0pbu/Olo4YDrh7L+4rwxla+7dCWLYpQPu/cs0KGp9f0lT7RchVi0AI0B +p/YUFfagD4dJF2rTGbDDx3t2lziLotbSulwZDHB+IqCehfa984yewmQAndvb +jy3Bor50qso0EwxQ+lT4xgdtwhGjz8nBgBVaHwS+oj8LNbps5WTA16tFFgar +WNQioYF7JxcxoLHPJzMH/ZLxiYrhws9fZ9GXS2I9G44besvNgLmcgIP+6Mr3 +OoJ/eRjwPLo6cwgdXVijobCEAQ9c+7n2S7Go20/lT1ryMoDD67P9K7TJc5c7 +4XwM2PY1sVpcmkV1vb1bVsqP3x/bIReMTliI+zEpwICyt8WR4+h3+6+KSwsy +4PNLvnnT1SzKpu6gkakQA+yHVR2K0aNnuf2CWAwYilX/LC3z//k+fPaSzYBm +QmT3DbTfgdX9g8IMeHqsrngKPRwTJrxMlAFEt9mmI2tYlMXqXn39ZQxwKqWy +ytCO02KXvZfj8zXo8rJrWdRrXt2XT1cwID1k+dMI9AVP8/EuMQa87+dT/IPe +o3ZUhl+cAd6Xu3Kt1mG8HzSw1JJgwJGYYM1qNF/D+uhzqxig4MBTu0GWRTGz +5xqTJRnwWMrxcBQ65XcRX5MUA/zJh0ML6GPPzxpwrGbAPd18H7v1LKqqQ/j6 +FhkGZIo/EXqHLvXPqXZYw4DIGrfMTXJYb5N1FsWsxfPxEdePQ7N21em9XccA +DdeHw4Q8i8o5q399XpYB9f1k6Gn0lEx5nbwcAwq4dZQ/oR1Pb+S3lGfAPzHL +tm0KWO91Ew6EKzDg1qFDV5LRlgWcMaUbGODwQ06FZwPWy9pTPZOKDIhd1dN3 +Dv31Uv0aaWUGSEm7RLWhX3+WP2uqwgBRpR5DbUUWpdwZmh+0kQExl+U5n6D/ +RI4zX23C891rVi6ghP1mdp/R0GYG5H2w9fdER4rmxS7byoA7Owx1etElMyuH +9FUZkNTJ4tqtzKLGIm9s8VFjwNLW4vfZ6JSpf0GZ2xggcGZnrIgKi7IS8/rc +rc6A3y0ZDn5ojaXzawU0GbBk38+tg+j2tqCL2tsZEL1kxeJ9G1lUqvvyBldg +wPc90l9eooVGCqRStPA8tZYUim9iUWx1O89mbQbcl/18Nxjd6bzyPacOnt92 +/wvf0asD+9eo7mSAfAHvoUObsR8H5Ps56uL6G723vUZ3Oj1oi93FAPPKOsk1 +W1hUkO7tTfV6DJiuXlh8E/1m6f2Ihd0M4BYRnJ1Bb27JG9+gzwC+Ua5hi61Y +n+5+NbA2wN/37euoQvsar8uINGTAca6EjwqqLOq7QMDiir0MmKjc/vYuWrR5 +ymnaCN9nrKxqAb0lyfu9zH4GLC9cV2mnxqLqvFZuPGyM52V/vuodusK67d41 +EwaUr0+u3byNRbUdfbZQcADjTTvvwwP0R6eHJ0ZN8e9fn7ZzqON6772oFzvE +gJq91wed0YrdXzYbHWbA1Zf6v5vRtrqKiX5m+H5mk9zbNbAfvo9b/NycAT1n +fCUeod0uyXn2HWHABpUfW/k0WdSIWeeA0DEGdHXuOuCO7rZ4ZqprgU67cq4b +fSEyrdLdEtf7Ie3Wru0sijZbtTnNCvMx9MXLLPS2O9xpbdYYr6KpXcLAosRO +Xlix2BbrV6bvIj90rfuiCI3jDAgO1tw0iB6prOA4cwL/3vn1+D4trF/G6T4J +dgxoGTkf9QqdIFU8/cGeATkjI3US2pg/anPOzJMMCBPWJ6+huaPthjY64t/T +ImECnaJDO2F3igEmHWW+ZjtwXtOo6Y06zYDEofbXpWi4WmZZ44T1eHEXU1aH +RT2UGuuadcZ651OzJxLdIrzHUu4sxq/ng9uz6PM2bT3HXBhgtfVYr81OFvWU +M9725jkGSM+QSm/Rz7iiv1GuDMgdvRegoovnebrm9OR5BrgeZLfGop02KE1J +uTFg0slXidjFogoPffAydWdAstOHG6fRIf1PmMEeDJi5yTfyCR3bWhL6ypMB +4XyqBhp6LMpBnVd02IsBYzJ7s1PQg9wxKcu9GRDPbyTMu5tFFevZqhj6MMCY +U/2yG9p12rHM15cBKTtZ411oc+HnxtmXGLCdo/3Yrj04D2er9vf6Yb4HhL7P +Qp8tZrgL+jOA8UdOV0SfRYXp8PLsDMB8Ssgv8UMr7jqW4BaI9TdXRW0I3Vn9 +Y/PjKwxYcy721X4DrH9vat61BuH+C0yoFqDNdg3Z81xlQNu7jSWShujd+xga +1xhwtt9uZwj6+Lt/cc7XGXAuNLhhCp3d8VstIYQBL4ioo0f34jzhot764QYD +1l65M1qBrrv51oMZhv1md8AleSOsd1seiW66iZ8PtWLdRQs5vS+0C2dARYh8 +5gJ6tYqe5b0IBjAvDe+238eibl3hI2ojsV4lRQ02oLlPr3kyd4sBaUqbrm/d +z6LS+sL3y9/BemFfrpCIbv9hMGtxlwG2vtrNXMYs6vetow/Do3C9z5/7nUPT +6ymjsnsMuKwppNCO9o33mp+Kxvw4Zt+1w4RFOfOEPFkdy4DX+hkRGehcgSmz +Q/cZcHpH3y7WAZzfcnO4r8UxYLXfYrovumC6vqjgAQMMNdYWD6DvNWufHY3H +fpG32dvIlEUdNRVcvTKRATtltmq+Qje6QbtREvbXajnmqoMsavHWt5GXkxkQ +1Cr09hr6ZMIL/ZyHmP+3ftyZRH95/Jf8msIAP2XK9sghFnXG/FEp+xEDuicC +NlagtbKf++o9ZsCmJeqL5A9jv8uU0PBKYwAnNdh1Bz1oMjmf/oQBf3Zef7WA +dk5aW9KZjvvZJnHH3oz1///L+/E9xXjMzzj/Hp28/Y2OViYDUlcqHFI1x/cJ +U+J2zWKAzc4U9ST0oevEh4fZDAg8uXQ1zxEWtU9FK7r5GQPeVl3gP4+eujpo +syiHAYuiGxY60CY35+TVXuDvL5f4sfMo5v/Oi7OnchngGGLfn4k+kOZQHZeH ++yeV2i58DOOruCKq4SUDXMQ7mvzQZEC4Az2fAUWFXI1DaOE/dWoqBQwQ2rih +0diCRd2Qvsh7opABFysMmgvRAoz7fXeLcP56bNMhbcmiMsMVC6qLGaAn5vI1 +FK3ZqBo5W4L195jHxAx6ce2rU3IUA0xTPWhWVixK6kKmrkUprl/l3NIa9NJP +y6XCy7CewIk1ytbYb4bo9LJyBlznMt4ei9bPse6ZqsD9eLvVnLDBequiXrq6 +Cp9XJurhhE62j0w+9IYBkrLT95rRo/tPBF+rZoDs9rdF221ZVPxU7unCGgY8 +1Ljf9xh9S/+KyVgtA8atHZYsPY7xfPjTNvE6BhwY3KB2EW0h/nD1/np83pKp +k/3oiOhp/oB3DPiw+Pl9wxM437yt+fuiAfNLyuljHrrrxarRgfcM0AqT5pGw +Y1EBJgvtIh8Z0Hu1Rfca2vyJVf2eRtzPfdeuTKK183ZT3p8wfyS2vDliz6Lu +eha8yGzC+N38hacSvXkq50lPMwOs3103UXBgUaektyQtbWGA6mqlB1Ho99w7 +Y3VaMd/cm0ZoJ1nUtdSuO25tGE90D3VH9PVfROTjdgbcpYmGN6LFFl7dbOtg +QHv2qwF1RzyfwrmwxV0MWG90CFLR79e/u6nZzYBjItP3+U7hfhsrRZ7twb/v +jpz3QO+Qk7mb1MuA/Ss3WH5Buxc+jf30hQHFn95W6J/G/jRfncTRj++f5iCf +i34z4ZG+9SvWuxYyeqUT3tdiSnIdBxjwNz6Z8yo6ZzKm9P43Boipa3tOoEcX +eBveDTKANtw7Zu7MotYULu+iDTPg9oD/iQq03LqyceUR7A/Oq3vkz2D86THp +J0YZsIqqORaFrhPqEYoaY4CM8Nku2lnMz0gz2Zpx7D/PRGwc0bcLz2rNfWeA ++tvywUb0xVsy5vITDAhNcjmn4YL5Kup93nIS68l5yX+paOnd58IjphgQ4dMc +xn/u//mTO7P8J9arudBVXuj7WTr109MMmFq/+2UfevyL5PiaX7jf+ov2Gbpi +PhWl8Jv/xvkm6u1IHnrR9ncbb/xhgMHeW9clzuP7nowzL5nF+pthKXcd3aAm +5P9jjgE3xhU/TKG35qikS/7FfDLh9Dx2Ac/33XzTgQWMX+E+qTdov5tnGcH/ +GLDOs+KDohuLWjV1UzGfxoT9uen+Mehzv45YjdCZEM8VvZlwx3n4QVOEGJMJ +t3JujDmhWf1/K4wIJvT+CHr0GT1e0/TnMskEkX/Bx7U8sJ7rWyi+4GDCh+Xh +0unoodP3HAY4mfAmMP6bkCfe52SuJIlwMSHJPe+pL3qlz+quPdxMEFBuchtE +Z5z2Wu7Dw4ShiTltYy8WNTEVaJ61mAn9P2WXFqGLBXRje5cwocbDpn/1RZw/ +K0s6BfmY4FuYlH8TPbPkxypdfia8nx2J+INeP9xm7yHAhNTzmk623nh/PeyX +9WQpE7rsYvTr0REHe393CDIhmI8mv8UHz7N/YQcfiwkXM84IJKK1aG3hWmwm +FF4c+s3ti/XssWu3qzATbAqd+s6j13XWbUgVYYJj2vz7LrRT9MDlFlEmjAfc +LdW7hPvTU9rEvZwJC1e35T5Ha2VYrtdYwYSGmZH0FX64v/8o/zNiTLjE8zgl +CL3p00B74kombCLPJv1Ab5P/uPmTOBO2S+okmV/GeYEz8BbHKia8TZBOqUBX +W/2d2CrJBKnXAukK/nhf2LLd+JQUE0IKeV7cQ8dc2/MiTpoJxz8tpRgB+HuH +JETer2YCj96ahtNogfulPow1TKg9sLu3GV1jtuHrxrX4PFXPGQjEfhzmuNd+ +HRP8VV7ypqPLNp/Pj5Zlgr4/U5Z1BfPXyFCmbj0Tlh630LuE9m6bub0gxwRb +4eqTQ+jVn1xIJQUm5LRBmEkQ9gfV1+62GzCeRqtzi9FzXD0jdxSZ8DrEqmdN +MNa3nU3W1UpMKJ/h5I1EfxiMb51VZsK2068159EhP8BEfiMTfssGn7O7yqJ4 +LPLfWW5iQpyLZdp79MX13AaRm5kw6KvXp3YN64XZxrcVW5iQGaEtkYK2/LbV +4NdWJjwbNLTiu471/L1Iwzo1JlSWOSZ7ooOFmkyObsPft4ge6kPvy3ZuC1Nn +wr25VuW9ISxqZ/KATakGE2Rb5C69QoeMaIxNaTLBWiXyneQNFvU24IKnDDDB +0IB7VSha3SmM00yLCR3Wd9x+oa+kXosK0WaCUI5Kg3Uo3v9kHdaV7GAC/dJX +2Tr0tT+yxT90ML6J9GubwzBeBRqNpXQxvgMCRxLQj5yth013MWGL2rl9PDdx +3uT/HHBVjwlqDudfXUAHTW4UL9yN72sQItWDvsTyLhrbw4Q6mZcRe8Lx/uv2 +9IiEAb7vpt+MXPQ1vtp5Y0Mm0PL3uotHsKjTXz/GX9nLhPzvBePX0Ke+V+u8 +MmLCLlGNkz/RPzY8HRneh+u/0DRgEYnPT/S7LWaM8asdaF+DFtHR2b7PhAkD +1O4RlVuYX4J/RvwPMKFtg8y5B+gVfAkxuaZMqHgnOr/oNp63kpr+4EEmyHdK +X3NFv/Ot/rvsMBPCY3aJdqEtxvSfG5rh/uv6Z+jdwf32rXTwM2fCO4km7Rx0 +osLmVTlHsN44QIfYXawP8w/avx5lgpFFhcdV9PkB2j0RCyZMgLXIFLrh29GD ++pZMOL1PuPBYFPaXhRy2rxUTbtQNWFWjH8tytmZbM4FjuoFL5R7e5+wOxfXZ +MOE5V2NuHNr8WYot+zgT9uz5cXxRNM7TnFjJT/yfz2uEXdG6DjBz0Y4JS4y8 +6jrRNg1hZZn2TPga+S1QL4ZFKW3rDu91YMJRxlnIQd9/pGwt5MgEu07Bf2Kx +GK+s6yq7TjGBON5IXUV3+A5wep3GfGzOvDKFDunT68pwYsIf11RDi/s4/2g+ +z+t2xnz3KRCpQb8Kk4pYehbrp/LIgEoc1t/3cU47XZiw99PWVw/QKwlJA49z +GI+JyTe4HuB5Sz6TS3dlQln7+uPn0fnyBnxd55mgW/ZBsxvdKfZzit+NCVl3 +7qzYE4/r+ZnWtsOdCSp33f++QDMyncvdPJggR3j0iifgvLBzR2aaJxP+ikdV +X0erFayN7fDC+reu6fk02pFL4jqfNxPCbJQTrBJxvtsge1HbhwkbubPC36J3 +yOo5X/BlwiFr/cDNSSxq2YyX7eNLWF8fc15MRO+PKDdv98N+IdF/fnEyzru/ +JA/w+mN/WdTr4o5eIRtjpBXABMnkBZcv6KPisobnA5nwcoPGBcOHLEq2tdHg +0RUmwPf7F1+h7x+4t7ctiAmmkiuvSKVg/Q/1MF5yFfsFV2lEGJrT/8JhuMaE +ua9XEv+gMxTCrVyvM2HZ79Mvjqdi/IXVOKaGYH/wc6ttQF9IknRvvYGmkvrU +HrEofrv7VxaHYfz9nviXgj7xacvd7TexvjseFxd4jPV+bPrxuXAmeJrOanmj +w9M/F6dEMCFlLsf+G5qPv+tTSyQ+Ly4i3DiNRT1fyj3Ocxvz2/tWUTH66/Oj +XNvvMCGgNX9k7RO8P481y5y7ywSTaWLlbXRyqaduShTml8AFk39o9lpdh5Z7 +GE/O3Dcc01mUxyqNGzwxTDhlWPmmCa39xPK5ZiwT1v1I4dDKYFH1RZltLvcx +vqIy9DLQPw+tJ1PimNAa2Boq/BT7gUezUssDzLc/cs3+aNvlz6x4EpiwdfOj +VePo65pFEZqJGG/eemfNMllUT9vvCpckJqTzCpRVoB9P2s8+TMb9kaMLK2ax +qMuXuJVbHjJhhajomVj0k0u9p3hSmfBQyKyWI5tF/Rsbe6T5COuldenac2jr +WsUBl8e4X9uNr3eiT/Kly6SkMUFmkue73jOcnwqOnWx5gv2pYPzgC3RK9e5M +ngwmzLbMloo/x3jZfHZa8ynuf7iiYgj6DP2j5rlMjA/J8MQZtI/02espWXj+ +DaJsmxwWJZqg39KSzYR97fWh9ehDTifWLn6Ozw/KWKT6gkU5XC/x2p6D8S6Q +F/QQLfPzUMO5F0zoo4Y5+XNZVMkjZZnUXDyvT3tuXET3JBpdas1jQktYs+A3 +9IrOrLbFr7DeKIU9MM5jUZ/MDmyFfFzvgotcCdpkqeY91wLsp1v9i9e9xPmb +6TybWoj1T+L1/jvoS+u/WrQVMWH3n7VDtFcsaj7gYeWSEiZoEVTAabQs31MF +rdeYDwGBq1rQiyv+RZ+n8Pv5bmU78nHeSorjfFzKhAeDd+2y0OtTgt3by5hw +xPjrkuUF2C/flgzxVuD5qtq8CkIr8OtYaFcy4XD3ErtJ9KizSNOFKiaIBg+y +LQrx/b6p7017w4S8c5O1Nej7F57XdFQzwat/vf+mItwPQa9d/LVYz1feUU9E +z5fcfrPjLdbP4wqzi4sxX9yYe9zrmBA586vAA+28+c27J/XYz0QmffvRJr97 +TLveYT1eIqa7rwTzr3B/t8B7JniwPfmL0FLey07t/MCETjeOrjWvcf7crP7H +4yMT2C6VmbfQgd9eXstoxP3elef/D30sJGxFzyeslxqtZqco3H/x0meCzUwI +vK2w8TPaJmHf7l2fMX/C8wR2lLIooUWafV4tOI+dc5nMRGscvH4psxXr4yXL +5mVlGB9XN6/80ob9+rdfcRA6+e6O16wOnFckmh9Nomf9ntvs7sR6sM3yjkU5 +ixrUCVzk08WEpusrgmrRdm352dnduF/GvF6bK1iU2Y4DR/p7sD80bXRJQrd4 +HFgk8oUJVqbhp3grWZSvW+FL/T4mJLBXnfRCj6hfP3mpnwlFR76dHEBDValY +zle0fZ+TcRWL2s5v+2lggAlVPqwLJei1QmdClw3i/Nrjc0n2Dc7THwb09g4x +4dinFaF30fU6bzn8h3H+iZ2MY1SzqDxHsTe5I0x44vHvmTO6VL3r2tAoE/iy +d9S0oesLeY3ExpkQGvi6T7cGz6c3i73/OxOuqbrSc9C5aWU9gT/w/rHUUlK8 +Fudplt7TVxPYT4wDdEPQD5ZreY9OMuGReo/TL3RyYaahxE8m8LPc7tm+xf4z +GbHqwDTm18qdVQ3ogIKRX8EzTIiNM/y1rQ7zV6j4feEvnG8/3Vz/GD00w5Hx +/Te+H+diW6F63G+r2mtSs0yI8SqL80OvNl7keGgO68HZnPZRtFVpqUHIPK5H +vnuF2TsWlZD9S+n1X4z3nzutK9F3RdNFpxaYkME1+FipAfv3TAdzDY0AxrPK +qbiG/++DYT/M6QTQFbq1uN+zqANcVHcYgwDfio233NDHNrt+KGMScPhV1bcv +6Mt1jytnCALsDO9sN/qA9bjKukiWgwD/NwkxhejZVfG5FpwEPHMc+r3mI/5e +u/WzyEUENHudMb+NXvLjSVYVFwGz21Re0xpxPja/mD3LTQDv5MY1TuhL7E85 +CosJUOs9H9mKjpXKy7dZQsANwyma7icWFecjWXaXlwCei9nnnqPZEsvqa/kI +oGVmfFvZhPcBrgdtC/wEBMsOWoagNytnDSsvJaB+o237L/Tpe3v/2gkS2G9W +mh9vZlGf1XyWxgoR0M4U7XiPviWkLtvAIkB8/wFrjc8s6pvEDR2mMIH59n4o +Dd15zNl6iwgBHYtDL7BbWNTfqj6/U6L4PCKECECPHR5Lil9GwB372rvf0Vb8 +N940Licg+6K+3NFWFpU9TI1zihEwGMhbWY0e678hor6SgDdvBK03tbEoYuaH +zllxfP7VI7Qk9PFV464PJQgoXzyQxNvOorosr6S0rCJA5l6O3kX00syXrYul +CAg/UzHxDd3EFcSvJU3Ah88iDw50YP44T+y+sJqAGNYzw1J0UuvslTQZApKc +QmkKnSyKQy+5onMNATnSmXkxaJ+cEXLpOgKeXhI8y9nFopYvb9qtK0vAifJi +ufPo955W4V7rCcjY+HS0B72hPqw1U46A6yJfsgy7WVS8gPXqPnncz5yjbgXo +7B0trsIbCIjWF4M1PTgPWExX6CsS0CYtveQ2epFNvoifEq4v0KWT1ov7vXP1 +mRfKBPzOIp85oVu51aoHVQiYGekJbkMfS/stJbYJ98eHabPrC4taJWnjv38z +AdVPnLa/QAufce+7soWA7pfiEqv68POhqrsKthLgPixKhKHrPdOejqsS8C74 +6MgsWkWxmi21jQCJpm9N9v0432Xd9T+kTkCLcFH5J3TQBGsiRIMAszutL7S+ +4vMmdG0oTQLmIiEtE53wTLb553YC1hycSFg+wKKY68oM1mkR4CA9GnsVPX+Q +t+qYNgHKO5RiptHDm/i1I3cQsOQ3FWvzDe/rldVUlQ4BN6/GJjSgv//dqj23 +k4B9aqWP1QfxftJrXbVhFwFTxsov0tDL7XQMj+sRICTyvYw9hPEX2tt8bze+ +X8OvTwFoF1M12/o9BDSUGAz/QL9+YTRJNyCgcf04w2IY55MnkoGbDQmwP9qx +8i1adeMLkVN7CThwV1hz6wiuby+ZHW+E+S2eYJWCPjzN3vNpHwEPNNyClo7i +PLV6eGCRMQGfN8dkXUK3t18K0jAhgGv/4o5R9AfB1rXnDmB8fqzjMR9jUQff +ztSnmhKwn9ah+QbtvNB6of0gAVdWqV3YOM6iMtMCJPgPE9B08VtmIvpC7c96 +HTMCzpr2j/B+x+cfVfD1NCfA9aeinDeasFBSyjyC9SK+/swQ+m3NwsCXo1h/ +YgvyDv5gUTFxUfHCFvh3xd+0CvS25nlzA0usD8lBe5UmWJSk0wbRy1YERKrZ +xT9AV9kqtuVaE6CjETXFM4nxn0d7MGxDgOWEqL4n2uZY4nHx4wQYx42nDKD9 +zQQVDpwgIC6YRRyYwvqZemj2qh0BBTNhJ0rRJZpnaortCZBTOlKr8BPvh6uO +xE464Pn4eCnfR1sZrDi7xpEAbcmxOK5pFpWWn7Pr6CkCVtvlLHZH37GXlIw4 +TUDpzXrffnTK/pP/Kp0I+Ph128/9Mzg/u17rnnUmQDBr4fRr9GxDQNmGswRs +VWYPyf3C+e6I2ePjLvj+ef4OMWieZTwR0ecIOHNZZ4TzN+43EeP9zpWAze1H +XC6g74twnmJeQHPXzH5B39xvcnSrGwFupjeC9/3B+Tvz0j4nd8w3ZqpwCbpW +LnRXkgcBR46y09fPsqiPld5anz0xHlM7taLRJzyNNBdfJIBYO9/OMceitHZw +aGp5E7Bz3TnP82hpiSRw8yFg7Mf2ZV/QZkukddN9CdCoOlFiNP//fTV0b88l +Akx/9J0oRtsv6TJjXcZ8yivgX/8X64WwiMMefwI+WQ6X3EM/WqPueSkA81/F +9SzHAsbPZv3QF4EEPPI0XX0evVhb9+HQFaz/HhGdvWipPQolK4Ox/nmsiTb6 +h/1uD9FucpWAAEr4cDH6r3rN7NVrmG9RNsvW09hUjYSvWMl1Ajx0F/XcQz+Z +ktoxFYL1XZArjYPOpiC78NTaUALe6564cB5NO6gbdSyMgNY1Yju/oGV6Kyoj +b+L7LSiK7GOwqSLDrb/ehGO9FUgcL0bvjE1c/zeCgJ40p+r1TDb1qpxuq3yL +gHu8USnR6C9VZnH2tzFeg8WCOAk29TLuSdv9O/j7R+mOF9DL9KaXfbxLwLUm +7f196NxKNQvOewTsUvuybT/JphJ4vR+qR+N+fOxe9xo9JFkw5hJDQO7AtuXy +HGxKZGFa9VEsARYlM3yx6NNxitc67hOQmci/iIuTTYXRTrULPCDgdss1pjv6 +lkSq4q54Anan2zC+ogX/fbnqnYD9xjqWMFnEplbclux/lkiAuc5G7lJ00JcT +2t+SCGDHygtu4GJTWb1Pk1c8JAAyg8Xj0JORc5zGKZifVdobeLjZVMOU0Zng +VAJKZC21PdHK8+mtRY8IeC3defgbWjWbf9fkYwKs5ovOmfKwKXLRpZdrnhDw +68/CzXK0IfFb9lg6AZx2ydlKi9lUUoJ3YmQGAX+vPvkUj25sWbK8+inGY7rQ +/JIleD4ZGVF/M7F/sb7IeKPHhc2FVbKxHvALmg6jmcuEYxyeEcDf/yjoMC+b +2p7RL/7gOQEhrQmFVWjvD+WPG3MIcFRdmNrIh+fln7uRK5eA4wbUhmT0w6KC +cs08AqSOfHMW4GdTGZc/mZ5/ifNVpuuzS+gddcyRtFcEaN488WsMfSpqd0B3 +PsaLbjEcFWBT/H2pK1mFBBiuuBhai+54uqJ4TxEBTubxnVuXsqnDU+kWfsUE +BO2WVXqEXpdlyswrwXlJecVVliCbuta3LH3kNQERFhe+BKCPhMybrirF+GJv +hkk0PXGOeagM4yHZItFKiE1JrhPNvVFOAMvoO9mAPrT84MmyCuyH1oNOGiw2 +VeWeI/G7EvvZ6j2t6WiHbcrt8m8I0PsipLeMzaZEbRvv2VYTEPhFr+AqemA0 +yiy6hgDRMwMbfqGzPvuJNdQScOjD2OMTwmzqvNjNfqKOgBfGlqs/oa+Ulmeq +1eP31belaIuwqcQice+z7wjY2HJ57TN03ZKHBqkN+P0zKlniovj7OfslOt5j +f9bfpxqGNkxf90vgI+Z7bkvVPLpoUu7DrkYCtv+uO3RqGZuKDzqa6fMJ4/Oo +/Ggr+tCJ/LCcJgIq1s8G6C1nU50hOueGmgkQy1YRf4m++2fhsHgLASoqbcWr +V7Cpe0+HtE1bcb8Wxixvo2sSScWQNqwfR8+QTDHc708mEqXt//dTi0wX9B3d +JsFfHQRIzxSa96CvTlznlu/CfKkM5jZayaZSWi4Qtt34fKOy4mL08V936dE9 +BNh2nDovJ86mZvS+0xt6CTj4MlAhFt1df4kk+whYLLtklEuCTQUH7l68rR/X +40s+9UD3OBqyXb4SYPLPyeUbOubiDalHAzjPzuiqHlzFpqJecm7s/EaA4tNw +ohL9R4zaJTiE9d1Zv1FFEvPxSZ7F7mGc96+4pyShl5iPelwaIWBUjXVRQIpN +PVawuZs7SsB0q/QBP7SclOjLkTHsTxmpit/RopuXtq/6TkDv3xh+C2ncP4e9 +jMM/MF+EGT/r0Ltz3smFTRBgrdPRtm015rfobfOKSYyvd+sqn6Av3o0PmZ3C ++KaPPBeVwe+vmXytOI31VEbi4VV0ccONX3YzBCRcq7n3C50YfFY57hfOp+e/ +hdutYVPmRg/ONv4m4IeS140mtIWM8HOuWQK+L/YP0VnLpia4Oma2z+F57PsX +moOO/j2m6TaP/UZ38pbkOjb19Yfh9Yy/2G/UjsRFoMUn5lu+LGB/dFd7QpNl +U59n5mRFaSRE7wovOIN2pxn4GdFJiJ85+q4L/YBvvOUKgwTFhoSvhuvZlMqK +vo1FTBLMVhylFaOd1sndniRIYK+7uVJODte3qXZmLQcJ90ENYtFSGiVHLTlJ +mHl67AS3PJsitLiq7iwiYXfRn1BP9G71DOU6LhK683gLBtF1io+TGDwkjA7e +HzqkwKZYyxdYqotJeBT3cMUbdOhc5o0zS0g4KyFjsnkD9pe6Qo5UXhISilaF +pqA1I1cHdvCREFkcVSukyKa09cYIQQESsp2v8gSirUcFr+1eSoLr8p9GU+hK +vxh+P0ESrPnao2yU8PM0/9g8IRJG7mj0fUAzT71dN8YioWR2ubKWMvaHMvdC +KWESHK65BWajNf4F7zMXIeFyqGGbuAruh/TfwXBREj4YJ6rcRO9Tagl8s4yE +eelz4Qvou5LLpBeWk1BlRP1w2simns+UV20UI+H7yhsHOtGuWc2nT60kwa6r +qdBgE9YnPRN2kjgJU61xMkXobeVq5S0SJFw41n97/WasryvCXPkkSfj9Io0j +Fv3NdO8aXSkSLOTGL3JvYVOtjt5d3tIkvOB7/tMTzToiGp2zmoSfT6bPDqE9 +18ocGpYhwXhP/o/DW9nU0g/JIqvWktCh+te1Gt2//1bnoXW4f5Wls1tU2ZRd +2nRKmCwJK9U4rzxCT7S+dalcT8LevvqlwmpYP3rYWvNyJFxcwn4YhH5X/FlQ +RYGEpWTP1hl0zFm+4ZMbSDjIlvtwYhubspwpKU9QxPWFzp5uQjft/ZbwWYn8 +//+9Fu9Ux/e7eO0yrwrGW4941gv0PffUEzs3kpB8wN1UWoNN3d+53dB7Ewld +Vsb/bqEb+w5szdlMwvP9zzKYmmxK3XhQZngLCU9dbx9zRR+4OSuyShXPS3Be +oA89Gn2D97AaCTU+gzXG29mUmms8581tuB//zK6UoZNENhJV6iR87t+nowxs +qve6PvFXA+P9Yj1HEnr0zQDnxu14vrzv6wS0sB5/5OA7BSTYjB2+exl97lGG +aJIWCctsHWwn0Lt2tq5p1SZha/GCirU2m5rNClXl1yEhVW/Fog/okt7avbt2 +kuBiXNoNO9iUT2eEva8uCVFrxguy0c7xfQG5u0jQZyVHS+hgfZQrTR7VIyHF +oediOLrYf/0bqT0klDqnWtN2sqnkeKlxc32Mn/PTe86im/2fiEQakOBUXb+l +By2kUKpbY0iCV96Gtft0cb8SHTxoRrj+G8tXUGiiPfHpln34+1ERgoq7cH2t +TgPO+zH+VkfyJqDn4+slU40xfwLElvDr4fnLl9l0mmA8L6jw+aHH/QxShUxJ +iPvaJPQDbRvtNKZ/EM8rkLnSajebkveU2RpwiITzssWy79Fm4h5BBYdJ6Jdi +boM9bMoxxLZlwoyEwZKmvdlosmRIft0REiR2b7KT0GdTXrk8wVZHSbDnl7wc +jja+UNsXdQzXZ3M/nmaA+Tsro9NgQYJo6MPSs+izOyUfc1iRoN2l9q0HTR0q +5tO0xnxNtuTfb4j9VfGP1wUbEpLWC2qUomU/Ng9l2JLwptzUSWkv5rvaoaP9 +x0nQKliTmIjOO3nx43I7EoSOXWsRMML+YaVjYGJPwuFZL0F/dK5ETs11BxLU +eub3T6I/pVXvKTtJQttRvts2+zCf5680/HEkwbnkeetHdBB79JDSaRJ2mHyT +3LEf1zs31+fgRELsyadnctCM9DzXBGcSKoxISsqYTfmuFuNsOYO/f+C74G20 +52nFB3wuJHBWnjpFmLCpHJ+JrbvOkcAx4VV1Hh13xPqzrysJvjJiq7+iSY7L +nnnnSeB6YRxseoBNbbm0X3z8Atb7weVjlWiuN43Vq91JcBPwPLjZlE3d7Fjk +dswD662vY3kq+nP5hMwdT4xH3x8qwgex33jdbK/zImGdJc/jYPQ0o+8W4Y31 +/0yh+G+0hcWYkboP1ud/tFiHQ3jfuJ7Fd96XhLdHO0Rb0d0hso3pl7C+Nhve +330Y98/GMqbPD3+/0FSyAB28xOjEcn8SPpn/TJc1Y1Mu4bMqJgGYz0xZ1Vh0 +yJANR0ggnj/xq4bHnE0ZiV3rKLtCQk/GEQtvtK6sc95sEAm1+odnRtETfIK3 +la9iPVIcizh2hE3daPS44HiNhOK0ZUrv0JKuCeZJ10lQ5ext1DzKpgp/XN/R +FkLCQhR4ZaFd96oqLg0l4WS6qrTEMXz/kAyJPWEkNITXfQhHC6R/FfK/SUJ4 +1B9/ugXmb+bXxQXhJCzmK91yDu1x5+miyQgSPupK/fiCdrXRXCR7iwSDMIkM +E0s2NceO5rG5jee5Kf9UBTrqRcnSmDsYn9fHFDZZsan1qtliH++SkN9VPJ2C +1shwluO+R8KknyzFtsZ85JnT1I4mYZpSCQtGlx0+aOoVQ8Kt8VbL3+iJqMtn +nseS4G8mtumkDZtKrfQJHb5PQsz+hSVt6LJv+lmSD0h4LeMzvMeWTf2kjX0y +j8f3WxtTW4gO57VZiEwg4ckj00y543i+rIz1bxNxP6ay7sShrYXqjjKTcf1H +0/x4T7ApRYHyiG0Psb4raZ+5hO5fHFnrmkLCbLmX9Q90HKHGmZGK9d3W5JC1 +HfZjetGu/kc4n1jV7fuILl0QubEijQRengHDHfZsaiXD+NOBJyQcyUnY+wLd +yucgEZpOwqu0eePVDmyqQPLo2coMjA/NWfO76DHtDRV/n5IgVhZtx3mSTS1y ++bJ8cxbWx8D2Cx7o6gw3d+dsrIefX18dQo/NjTanPiNBnHtXvLkj1r9jumrd +z0kIc3LJf4ueagpIFH6B84zx9s/qp7Ce2acu3peL8bbo2e+n6P1Lsy5ezSNh +xZcqMfHTeN9rfzBOvSThnsJl3XC0ZrnbiT+vcD3be87RndiUf92WHqUCEqyO +9yedQ4//+WLhWEiC6ffQ5j40ba9nb1IR5r9i5xJTZ5xHaufs24tJuOH5Ua8K +fc/11KTgaxKeLXMO3nIG82N3jZ8Bhfl4IrvmMTrVmC14pRTnq7RovmVn8f4c +YpJWXEaCtJqsWQi6a/7yjplyEjrtbFLn0S9Sk3oVKknQuaz9y8kF8zkkL8C+ +Cut1W61+N/pLZsm6hDcklJfPJe87h/1gaVFjSzUJZ8Ka/pWiZQuyLgvUkpAb +cthSxRXva2kxKnveksC95ErZQ3R4j8+Qfx0JZbZH1rHPY/6eME8urCdhf2/7 +rWD0M1Ul65/vSFjzmYPxB+1lwZSSf09C690OV8cLuJ6OD4MnPpAw5HJsqB3d +khX3/MFHEsbyr9kYurGp9z32fp8bMd4p6+4S9BYXJWP+Joz3z18tFd0xn63n +1uxuxvfZx+5PRH/Mr6L7fyZBzmfqlKAH7rfH7e6CFhL8snx+BaKPp5wonWrF +eqCaGzSDFt6+7ZFcOwnqp2NEHTwxPvTZESc6SAiOkc9uRWvX//J90EkCwT6z +R98L+9vbnrOfu0h4qGg5WIQ23fnRjr8H+6P6wjWFi2zqgma91e5eXH+IwYYE +tF/xRwv/LyQUnt3TIuCN9aGsz6qwjwQZjd+BAejDB+j2P/tJuLTj4KZp9H1X +ORf5AcynpuNDdj5sql3G7pLdN9wvXenEFvSis1kR8YMYL4O3j+7xxfq4n+tx +yxDm65KXy4vQdR/PlwmMkFDPGdIlfwnn85nJnj2jeB6yAinxaIXXgczAMYzP +N7vPCPjh+yitly0eJ+Gm0iaNAHT3vm8HZr6TYFvYyDuNPiFVELBhgoTbL1f3 +211mUx/SH+Y5TJLwzmN9cQv65uijscQpEvL2f43e44/z1EjF2vafJEjdMfEq +Qj/PnLcXmsF6f8fNQiEA82XzvnTDXySkpe7VTUCLX6Umg37jfi/rUFoayKaO +PdmrSf0h4YCO+KpAdPqDudA/s1h/3EWEZtAPHat7ledx/8lqbocrbIotmKd6 ++i/28x0KZBvaJLbyTsoCzv/++kyDIDalt+j3dNc/7P/CEmQJetBir7kInQMW +m2ZwKwazqY0Pa8r2MzhgJPSHYBK6vsNxQwiTA56yxiSEruJ6eVQSKggOCNme +pBSE9twixVogOWDBgl/3N9reWj1sCycHWL/ZYuF4jU2dj7jE47KIA/jrRLw6 +0K71YzeecHFAFJUTvfc69nuRq0v7uTnA6/eiYgot7mZ0X2wxB2x/I9KvHMKm +vEd1ZA8t4YBrfn28Keguv5NF4bwcQPc4qSF8g00dVCsxruXjAEN6+plraCtR +nbH/KLrveKreMADgRt1z7rkRkXupzKRUykgUegoVUhpKhLIlREoSMrLKKCJS +sjMaQqJwKKMySoSkZY+MpIX8nt+f38/NOe9532e9f8UryIAVJ+9kTKNl5WYu +aS5igCnH6pNzBM6ftv0KnkIMKDNsX/oZndzJePdAmAGiNiyLfZHYXyLN/IcW +M8Dh/nTqc7R+QN/65WwGJAVmD6tGidC/nt7pMecwIEtlsVo2OlQ3LSlelAGX +RbaELokWoWMk2kzeiDHA2UfuQwR60EhXlLUU96OsUZnrCvb/T6NdOssY4C+/ +IcodfbSpJdNXnAESomajPWjfFb9PPZZggEsX7D10FevV0GHd75IMSHvVV/wC +XSkzLbZGmgEKaobSGjHYj1o+/LCVYYCdp0f0PfRmXq63ycvxvLqO8EjFYv9+ +ZFvUIcsA7wrG2Rj04Un+JCE5Bpi7uU/Mv4bzfOVMsOFKBrTsuO1yFj0ls/5M +yCoGnIyPHhtCV0vnOFbKM2CwUNvDPE6EzqlyOja9mgGffpTMNKEPsc6Yb1iL +5587GbotXoReyPXS3FUB93PdBKcI/fKOg1X2OgbwvH2YJ3ddhL62YL9T93oG +hI6o6SSiQ9aHn12mxICLrwM/LUgQoXVEF4YfUmbA/JYYXz80/fpr8hUVBowZ +OEp9RxeYMkpfbWCAbsS8OptEdPm59vkbGSD3zda9Db2HZ+v0FjUG5NERkvo3 +RGg+eVPpc+oMmD1yvvkp2mBrrWHhJgZosJVC1yWJ0Mv0w3xGNzPguc79ralo +3t0p+Ss1GfBi049/wjdxXjASGLLSYsD13dx0CNrGvG3FzS0MyG19F/QXXXvm +l30bMMBE9rSh8y3sR2ludwW3MWBxzAfRz+iDo9t/GWhjPHjwDe1Lxn5qdlY3 +WIcBo+JkeTVaeoJxndZlgPRA/TW12yL0qkeTo3+34/nJHnHLRe8o3KK/YScD +DNY+MhJPwe8bH8521cPfD3QqX0HvOPWHL0efARETr8TmpeI8Bo5negwY0Hw4 +dL4n2uKYRre4Ie5Xt8CPQXTjp1MHDu9mwLtu274jadg/ygVexuxhgH1+yIcm +9CZCWKfRiAH8qWfebUsXoYNo3ypyHwOesZRbitDnpvbqau/H/Ncpa12ZgfXg +TmS9zwEGpKcu7ryBXvZlg8ljYwYon9fo4c8UoaVydw58P8gAYzmlCX90Davu +/FoTBtj8/ck9hd7CLFrscJgBGQaXRByycJ7IEyhINWXAabcxhU70xL/OA11m +DBCvkjHYfUeETiE402xzBijFrnSqRLu+qs7YZ4G/a/2LVMnGfD3YdyDCkgH7 +RDIeZaHj886RdUcZEHBq2VexHMyH9kCax4oBqnn2gpHouz08PprWDBBjB+lw +54rQy9/+1jxrw4D31ClvD7TAfTveAlsGbP+o8qgf/TTAsOGbHf77gRc/TPPw +/Pffu7HSgQEr/ZQ2NqJHVoW7WDsywPavi8/Wu7ge/q+6t44z4P4Dv9pCtBKz +WKrDiQHff9ssXnkP7yOyFI+wM65XXsL+Bjrd/kPfbhcGvLxx7yn/fRF6tlPh +dZgrA9zThUQC0GtDeMqfn2SAx43dp6bQkx4mD+bcGEC2W7Y4PMD5Lk8xa9Mp +rF/5O9Q/oMs3RqWe9mDAG19G6p58nE/F3VMfnMb8iE/if/a/7Tszh88wYO9+ +yk/1oQgtKVV/f8VZrJ9Mo8lstM8e3bJjXgxIFnBxWlYgQv+Z3tGUdA7/faVN +fzT6rFJrb5s3A8rdVeznFWJ//v2NS8iHAV7nu4Y80TmmMZK7fRmgonrUfRjd +a1mjE+aHz/v1dNaiSIQeXxjq/PwC1hvOj8vN6MazHYlz/nj+4/Mltz/C/bj9 +pH5TIANC2r4/KkF/jlzHeyaIAYGyT/auLRahH+xT1cq/iOejZDl+G7144rXP +SDCen/Gnq8KPcT/cuKrkQhmgM7BZPRQ91lNNWYfh+rae7p5Gf9wtbXIrHPOp +5NIV1xLc3yciOR2XGMCV7afdjR5XTudaHMGAG/Z7/xwsxX5Z+crMKBLPx5C7 +4CX6inPkk0tRDGgqiDqp9QTjR/ubRG001rvvM4oP0emGg6E8Vxnw6KjeL9mn +OM/HBv7UjGGAk8lpOgG9UbrMwSuWAZGK/hF8ZVgPeOI/FV5jQIqOs4U/+rDm +IrPxOFz/kLryFHryw7rO1dcxP737WY7leP8bGbe0T2BA4p4zAx/QoZ4HB1MT +GZBA99UZVWD+BB/z/HiDAR9XqN99jm6XFaLEbmL/6HS+pkZjfzE/kWJ8iwF6 +qhf989ANai6aV5IZoHnFz02yEvO1SvRj/W0GfNAxt41FL2KcDCRTGSCUI25O +VuF6+dzX6qQxQFjsucl5dGi35Ae/dAa8/mZoMo6OuuIT9SQD49X3qZnNMzwP +2bAdvzLx72UFrNvR6nd05infYcC8zXouu57j/CybX+2SzYAzog4+NLoro+lS +Tg4DikSdo1WqRejsjSkH+3Jx/ddMsu6gh3tWrJC+i/WmV75qaY0IvfLxsb/m +93C/rHs+R6Pdn+57m3Af67vDRd75tSL07Zm/D1ofYH7u4Zf3Qq8JNosRfIj9 +9aTfgW/oRJvT5wwLGCCyoiPgWB3O08l6dmGFDIh+saSoFe22veNgdREDCgt3 +DOu9wP5gJbuLu5gBWlvNZcvRO7nWbdd8jN/34oi10ksROmv1Lx2vEgYIZm7P +yEQXj/nuLCrFeqW0ZFjsFcaHSa3RxBMGLKl9rxKFvuL+xnxtGQNWVVwM4K3H +9e285epYjvXfY2mLJ3pfn0JwRgWuB5JXjaC/mASlfKGxHvryBx5twPzISa5c +VsUAy5Djn1vQP4f8+w4/w79/VLBVrxEttUYg7jnOV7ZDmWVoIctkreZqBmSO +8gsoNWE9yP3gxl/LgLY8KZ9MNC+7N1u/Dvf3r/So2GucP/NK+oJfYL1SFLKO +Qi85a7by2UsG3Mv73sn7Bu83F1+5zL3C/lNTaXIW/ecrVbq5AevR+wsdI2i3 +JDHqbCMDlm1bb3GsWYT2Lp+2KGzC/DN53deKjjW+/3j8NQOqzh47pf8W51FX +VfbaZnzfbDdvBZrBuXrO8S0D5LeaXFduEaHDTZ99zWhhgExy+fo76O07Xu35 +2orzoDu7YWkrzltDOZXibQxIXWztfAVducdazawd39+TIsh4J0JrBE0VxHfg +fKDWUnIOLRlnpdLyHvfL9a/tGPpObG6JwAcGaH8VFrFpw/kl7I22YRcD2N9k +XrajfwW0Nod9ZMC6YbkAw3a8b0c9tqv5xICGjVJaVej6Eu85ni8MOKwg8E+1 +A/d7seTNLV+xH8tPVeaiWdmZW8534/NCXodJvhehF4QI9D/uYYDR7VTja2iX +pxYxU71Y/984yVKdIrTg/qs6Sv0Y32fW/PFFf7HI++sywACLoZ7Xk+jpwbtF +uYMM8Am7lufwQYS247p+emAI//6+1uUutGuh0ybZEQYwH3923dclQs9bLD/P +6hvG45z3oVp0g3xL861RrCefBbQ1PorQFYRTZucYA4IfJyvlozVKx3w5Ewzo +/rpyxYpP+DxD6yPG3xnw8Eneshvo3rc1WlcnGbA2ebWowGcR+rnpkhVNPxhg +PZjBuYhWHDm2aMFPrE8/lyz9ixa/dYNX7xcDODKRMq5fcJ7wevHn4m+M/1cz +Cj1o6srIj6o/DFht4KB1+CvWr9H5U3N/GeA593pvI1olU+Svxsz/9XKjo3a3 +CH29UmLeuVkGSHreCHqMjj8gLVT8jwGuk7Npa3tEaCMnCbkfcwwAEcvaVPSg +MAcUuQnQ1KgYZfeK0KPH+CxceAiYqxQXi0DPWnL55/IScHyerx5PH85fkt/v +DMwjQP1o13lPtPCD7lZZBgG6SpqFI2hDiXeENUHA2babY8f6cZ72eal1mySg +Pm9OoQ2d2lF5rotJACy0dt81gPOibtkTMRYBjWZ1JZVoofoybpMFBOSMrZu/ +cRDvLwHPd13jI+C3XOKBPPQvj+akZn4CPhwj7kgNYf0pGJhYKEBA6F/PuTi0 +gRG5y1CQAI89I6YLhnE9Jkq54YsIaC+zKfVH53fZL6wTIkA87cuyX2iLseyz +8xcTUHXE+uKJEVzfrT9920QI2LZzaPwL2vDPIdMLbAKWPTtz9NA3ERoEa5rL +OATMyjNb6tHrfukYTYsSENiVYrBtFPO9tLVZbQkBJmpba4vR3ie8TM8sJUAt +oX/72jER+tZSxf6CZQTwWFx7mYp26Jo9OyGO6+/R38cZF6HZTz8vXCdJwI1w +8mME+m39+9wTUgRsv9fozDuB9XLZt1050gSE3L3J7YWWesaZ7JchYHff6YRR +dEKdxS1ZWQI6Hx3aYPMd68k2erf1CjxfH+3WDrTYNq15KXIEZMere+2ZxPNs +6yj/uJKAQzabpKrRusKxvkvlCUjfur1h0w8R+gfpom26moCvEeY+D9AttQ58 +19cQcCLrguKKKaxHxy5+aF1LwPOR+4M30NO9zx8IrcPfnw5nCP4UoZc6rQzf +u56Azx4qdiHovbMPHKIUCSj2CJefRV98YLmrQYmAErHR7+6/8L4Vt2EDS4UA +r2rLigH0yUplGb0NBDx5+ynK4rcIHbnNTCRElYBj6S42Leh/q+/yV28kQClu +gab+H5w/ouQX8KoTIEWWitJo3fMt/Fs3ESB82PPvhr8i9AYqT8RvMwFLB3Q+ +5aKVtz+UKdMgQEdYpk5qGvN5+8CGaU0CEjUWFcWjTUT3GKpvIeAwvSiTbwbn +l+Z+R08g4NG/5TcC0QEhBZeKthLw5aBe7B90g27Bw8ltuN8rL1xxncX1ygx8 +VNQhQKb5xdVedJTifoGTugT8KVhx3ewf3u+Dprbf207AmrXxKW/QzWteB4zs +wPi5ueT+jjmcXzR7nsnrEcBrU0iXoaNfKlGO+gSUfT72TpmLTev2PTXOMiDA +4NTy8Wx0XnpgZu8uAsy8Z/gkudl0CSd0RmY3AWkmQ+vi0Lv2vzpktQf3w2nU +eAEPm77ruPvxbSMCfBYxLwSgs1wWiX/ai/l4b9O93+gdpzlhy/ZjvCcHfnbh +ZdMLrxz7Y3YA82d7j0gvuvjdqEuiMeYzt/les3ls2sqkcrD9IOaf4mjUG/SO +Ve8d2SYE8G283rxjPps+YbFpzPgwnpe7mWg5WoLV7RVrSsB6bTUbFQabPr6t +lfnWDOORWleQg7YSW5QsaI7ntRIYUgSbLktPVDeyIGBwxsk8Hl3807Uj0pIA +lcGHj/lINp0tE+PbcBTzx3AxJwh9Zuv8VQusCMgNj/H+i350tLZd35oAAW6F +7pNMNn054X1EmA3mr2Dv7n505eyWnXW2GM9LS8rNKXxf2m+CsCfgdmCOUgt6 +6Nb8Bl0HAr5lluTos9j0/nkO8UGOuL/9fSsq0ewhSftnx/F9mUpZGxewaZlj +iho8J3C/dW+uvoc+658ostWZgEkZucLlfGy63NL8p58LAbbpr+EGehu/d2e5 +K+a3XOIbQX423Z7+o3r2JAGF/EF2oehA9VdFGu4ELHkSOfcPPfxpLsf7FAHs +yNKk0wvZ9OmcmIxSDwIWDBJaI+ilD0My/pwmwHWtZ7eVAJsupLpy1DwJePqU +jOhAt9THFnmeJcD599NNRoJs+hj5oPqRFwFa22JHatASbes6p84RUDEdmaq5 +iE3n7F78U+U8AVnBd48UooUCj4l4+OD36oyLrRZi06fCF2sU+GJ8xh/qSkFL +eivZf/fD8/jSncYRZtPjTiXxiv543kHXXKLQIqdyG04G4Pd+OaHJWMymr6Uz +mQ8CCUgyOy7gg3Zc3Ko3FkTAxQOR/ZPoqS/80QrBBBgpdFQdF2HT06KPO51D +CNA3MEj9ghZqf7PmbigBN/l6L5qw2XTAevPAkTACotoynZvQg5vNPq2+REAw +68rh7Rw23cnXAE6XsZ+w0vXK0KUVBVk5EQTO4581VUTZ9KiDgPBQJAFB07qq +uWg98Z6Lq6IJGLnfqiQtxqav/1g363AF+0tplHICOoqY8rpzlYD3vh5qAkvY +dMwJlZn+GAKaLIK2hqA3bxoLlLtGgGVZxe5/aO7QFYL2cQTYza44enopm249 +0ZmWGY/90r/09Aj6PfdCjb7rBJy/ey7Kehmbzjer6pBNJMC82/7ue/Tq2J/n +bW8QcCs4oGmvOH5/VZ5sRhIB2n9fTtWh82Z63/bcxPNP2SoJEugjaSHLk7Ff +fOrbXYz+9asXbG5jf2I/8VeQZNO3B+/NpaUQ4JZX/jgDnbdj7ll3KgE7eL5P +LpVi0z9XtUfIpGN8nDdWjkX/yNpkbp1BQI3P4BmWNJsmuuSU0jIJsDl+rzwA +veTT7QXdWQRcz0in/qIdajJHpLMJWBVTb+omg9+bu6nZKgf7QdyK+wNo8Wzz +stRcAsaECoijy9n04haBe1/zMF5d3G3a0AJ6xunS9wgYoGyrd8uyab8la25b +3SfgwK5L8jXobse4lNQHWC/je2M0V2D90b9252s+zg+7PbiL0Fztq4qkCwjY +0r7x1Bo5Nh0tZ1xrVYj5GLd+MA0tcpDzKbUI92fMwnrJSjwvb4+Zr48IiNZ9 +9uUqmvfBcQmZxwQMz5rbUKuwPiyc2WFdQkDL+XXD/min/FVn0kqxXqxQO/MH +7ZH/I7v7CQHllmfnu8mz6VWyFt0yZQTUXh6/PoC2Wm0vbVNOwKZFKeuPrmbT +bR0C9ukV2O8OhNe3oTt2HcnvoQnof5x3Ys8aNm2UpM8tW0VAQhopWItO//Lh +oO0zAgK8bpVorWXTFhrCDzOeE3Aq2cXuEfpoxcSivmoCTp7zYisosOnn4We8 +VtQSsN+1oj4D3VKY1mtXR4BcNwQvW4f19PC5Q1kvcH83/dO+hh6PnW7sf0nA +u85f8/nWY324sHLXynoCyNUK9UHoV8o8TQ4NBORHpMTNoIcbww5lNxKg6LjP +1kMR9+s43TvYRMAb6a1qI2hr8Swv+TfYTyRcFtooselY5hYhp2YCFtV0DHWi +bXTDHua+JeDuuaCX+5XZ9OOR4EMjLRjvaS73XqETlqjzrH2H+5txPU5bBevt +6O2Hzm3Y//p5Ap+gl/lUONxrJ4Cr8e4p5Q1s+kPPteVjHQREVCQ45KIfaMv2 +reskoFmq9piMKtazfJe7Jz8QUGCqankDrWVw6lx+FwESr/uPCm1k0/sUVAy/ +fyRg/kCn3SW04umHssqf8f2kkBuvGpuu2zTG6/GFgJ/xEX7e6Jak4f7CrwQo +zBhcnUQTj+68meomIP7G7mwndTZtmCZXqdpLgOeHa8+70VaBjo88+wjgyEr3 +mG1i024nXPMf9xPwt3OSaEHf8t/08M8AAf72rPW7NrPp0PevHm8aIkBVwfHI +czQdv7zae5iAjDi+CA0NNl39Vrft6QgBfsSfykJ0aM76sdlvWN/7V0+v0WTT +dup9C7aMESB9M1MtAx2ZbL/+wjj2/yjHc8u08Hx/Fx2unMD6KnuavobmOdoc +yjOJ9bL6BcW/hU33TZaVaf/A82qzPxyMPvbW63fQFAHMyj15/9BGHEK95if2 +0yF/Xk/A/Oyx8yN+E3Ch9J/FGHrzvsRXO/8QYHG9ptx+K5sO90tdFv4X43G4 +Q/ozemn4hdOvpjG+xdQvmWzD/YrZ8HbBLPaXiJ5fr9FLCqpUd/8jYDz3g4Oe +NpuuYK26HTVHQNcHqY+V6JESx4VvuEj4GVJ4aJMO5lvnxaBFPCR0C19rfYiW +j/Cd289Lgv7ws0OrdXE+Gj9w4do8Elrdt35MQxNSFNE2n4SjQvyOS7ez6UNb +kmM4BAn5KvK/Y9HFDotXmJIk3NGKu8S3g03HlTmX32CSsDVhn0ww+rtp9pEu +igTPPMuKf2h1ixdcEgtIOPK5zNJzJ5uuH2jMOcpHAs9N53nj6O2cJ6ap/CTk +6LveddDDesIXJdCzkAT/vc9Mv6C1eg3qZQVJeCd6fIGpPu5/xfcI+0UkzF9g +U9WMPlkeZJwtRIJXdP55AwM27TrLIzMsTEL6wv2bn6Mjbrr8XCNCwtzEzn8a +uzA/KuqaXNgkbLwdU12EtvRbdP8Bh4T+AOUrCoaYv9yGsd9FSSjgWXUsC73A +2stPZQkJ50I9NkjuZtNhz6+fPLOUhO/nRfgT0ALb8+wfLyOB0ls4LLgH85lR +ZPNXnITbxpb14WiVlYX2GpIkvGARD3mN2PSGVzknfaXweS2MpPPoXr5EP1qa +hHaOZfgUOm9RYCzPchI42wR8XPbiPPrH7r6OLJ5HiZhHP9r4y/bXwStImO33 +dT26j003jcn8qpMj4cBGTdcO9NiWORnWKhKqBA6e2rcf+8nPjoOG8iSUd73w +foUOXV8UFbWahCdEQqjOAfweoauNb9aQOP88SyhDG1a4CQkrkGAlanBf1Rh/ +P2BscXAdCTtbFF7cN/4//jXvX19PwthV1/6VB9l0VfkaRqciCVIVfFQq+ki7 +tPUyZRIKq5iKSw5hvFhJ1ViqkJBF2ByJRd8/v2pd6gYSBn8tvcxngv3UQONW +jyoJUbMqdDDad8RUSE6NhMyAvN9zaNeQ4EhHdRLcJgI3eB3GeqBGL8zbRMKy +widnvqN/rGDGj27G81M58NTJlE3/drNarqhJAnw0ZPSiT2g0FJ/SIiFYLPuA +hRmbPpyjv/fRFhJWHrDLakN/fd85/htIuDd18Z/RETa9e8o/bvM2EkodSdOX +aB6O1jZfbRKGxEZLtM2x/toL/qB18H2nNoqXoZeQs7m820kI/dQTrGqB5y/K +c3z7DhIS6n5O3kcfrZJSCNuJf5/gbLvKEvuPtPnvV3r478v1OlPRgseK6vgN +SLBPuWS89CibPpe8OnnvLhIS7yq3XEMXz9HesYYkrNu97dDCY2yazDpj0bab +BI/R4o+h6F/FhjvEjEi48if2OI8Vm6YO7VA130tCx/uOv97o1dk2q2/vI+Hu +bHDUFLq8MXNF934SfBuSVrpas+mGUf6VK4wx3ouW1AygMxVurXM8SMKI1DwH +Kxvs5/eNNfMOkfDM5yD/B/TPWNW9YyYkfFIRKjG2xecR25yUTPE8H25yaEI3 +rPC6dNqMhAbrhiV6dtg/xbryHx8hwaDg1dsqdA7h+nHanIRtfKrRGvaYP4vW +C26xJKG2a8HeR+g6Cyn9gKMktEUbiax3wH4pqBNWfYyEi1e5P2ejy/YkNJLW +JIzvlrwn44j9UUtabJcNCceU7l64ibae/9kpyhbzJ/vOIfZxnG9r3z5rtiPB +TEJI+QraPeeflIgDCWnc3xaxnNj0t7fHgg87kmDzVPVXELr2+L/xpOP490/H +P/1D919pPfbZiQRD5yUNZ0/gPOY+0C7jTEKxRnH5d/Sb9WoH7V1I4I9/XnjC +mU1njFd35Lhifg5o3+9DMzuvWo+eJOFk8oZ7R10wvkRuTyq6k7BJLjH/PRpq +RsNOnyJh9ze3kgOu7P//v6cVJR4kVFiUVTeily43fjFzmoTogfPvdp5k00Xi +ru7gifH368FwFdpOrkkq6Cye15/D8zXdMN4dz7TVeuH+mJ2VKUavJe1iWN4k +aF5asF3RHevD6mTjPecxnqZEnHPRXbPS4jE+mC/E9euyp9i0dOr3kXe+JHxT +iK5LRhdpLawSu4D1o2NuRtSDTRv887pp4Y/14nT/hlj0ekLFLzUA1+e64xT/ +adwvXy37vkAS/m6QLApFn7qSaCx/kQRTVfdpnjNs+q2Vnr5LMAllHzW3+6DX +Lt2l+zAE9ysp8Nov9MHetO0/Q0lY8El70M2TTQ/07d29KZwEMSG/rSPoPzsO +HfG9RIJK1oZbdmexPisWnay6TEIk02HuMzqm/sQlRiQJxndEbM28sN9u8cvT +j8LnT2xtakULFXx7GxlNQuOBIU2jc/i8vSXcb6+QoLRFIP8l2kWnewM7hoRK +icKVut5s+lP+iZNmsSTM2LxLr0BHPT+Yn3yNBG8fT9lN59m0Qkbq7+44Eoj2 ++JxCtJX33u0rr5Owp3ujyjofNr3S3SbxRAIJa/hNqrLRRMGHHw8SSXCo/X1g +uS/er2yfGE/dIEHYV2zkFlqgiLtM/SbW05SyEFE/Ns169UDe9xYJ15K/ysWi +jZte3KpKJuHhQFg9/wU2vXPMUJRIwe8fLjgdhu7cp5VokIrnwz4mM8+fTc9J +JUlFp2G8d15p9UV/DnW435JOws2s7Zf/oMUL0rVFMzG/h/x2eASwaeEXez+a +Z5EQJ6xFjKHLpk76pd7B+hDr/8oxEO8v1rxy/dkkFL3Xj+1BH9OkWlfnkrDr +YOIxyyDc/7zgsJN5mO+eJ5Xfo/0+eekU3SXx/tbANL7Ipmdmeub/vUdCjcPD +nib0FaUXDVoPMH9EJZ7rB+M8nSuXFJhPgruC8J1qtHc0t1vdQxLmiV6NhhA2 +vVXQZBdfIQlvdib4PEG7HVyjsK8I67mCvKtqKJtuDvcTiX+E+6+ua5uP7uzc +N/9DMcbn+yHLNWH4/aey/kqWYHwELLHMQr/z8/1pW0qCdEqblXT4//eRjt85 +T7A/Z0k43UTbpz3mHn+K89P8H56cS2w6SFBccEM5CfJrjcNi0GMZlNy5ChIm +IrST+S+zadNwP+0KGuP/ekVJGJoa9rGbV0WCdsWL9nkRbNrkJyNa7xkJ192s +ZvzQqW1L6MjnOJ9Ihi+fRos/Lfv5thrrs9bWvWci2fTrpm/KorVYLzeHBkyg +5bTvelrUkeAaavn4RBTen2G2Mu0FCRrxtd/70bsmPy4afEkCs4NWtI7G/b+8 +/7hCPQmrKwxOf0R7qR2pO9WA8frEoezwFTb9SObvmpJGEjZrcahWdMB5hev/ +mrDfl5qaGV3F+dr1L1PnDQn1t9fnv0KvUrAMCGsm4ax1ImtHDJt+8dmcu+kt +CbIe149XoW+U/goWbsV41VndqBnLpu8NrBUyfYfz2Pb9qiXov/HcmcltWK9H +BNJUruF5/zy1pbedhOosG+EH6NcqwZ/k32P9GtodvjqOTS/3Uw8+2Ynzltzr +eVloUUaU8qMP+L43A4HS8RgPv0P6p7tw3jFJIG6hwy7Kpm79hPmk+DVK9Do+ +v93BOuQzCXn1z5ZeQ3us2L+64QsJwze17gkksOk9Cb1/FnWTYM7er3MZ/clG +qsmkB+eBXO5PRCKeVxGRe6uXhMsN+r6B6HNPEiJ6+rD+jylIz6FHMtvPyA+Q +0Bd07+W5GzjP5lTbnRzE+YTrpedP9O2xY+aPhkjQbfFf5Z6E94Oce6YzwyTs +83j36Ru6jHnXYts3nG/21yU63sT5GCwcQ0exPvYcMu1FH/d5dq5xjATHGxfF +j93Cfj/adVV4AvNxaG//B3RY3b180+8kLNxeVmiSzKZfqm1suz1JQrNkXXAL +eq/bWd7+HyScGnU3N7qN/TftlOran5gP0uVq9ejfXPInT/3CfrM+h7MzBfvB +46QHJb9JSLm8cfYZetG/+l9zf0jgy7Hr25KK+cv1VHf7NPbrmY0tT9DPJ44n +Xp4hIfd3bs3GNOx/vJ1TzbO434LPygrQnY58JqJzJHQ98SlZl86mH+7nrbTk +YoKO04eSXHTNZNn6TG4m/Iv5VC6XwaY3+mhljfAw4VhOSF0aerVk8HLleUxI +lW59J5HJprP54+54zWeChFvd4A30ex9XZZrBBDXKipuThfU5SaiaQTLBxyp1 +WSz6UEqguSGTCcdHw7QE7uD6SumZGIoJt6VFbS6jJ8TrU9+zmNB5yiiSzMb8 +/Ze5R4qPCR8Ori8LQu+L2sfrwM+Eo1AyzpXDplu5XpfdW8gEu4zhlT7oljBJ +vykBJrT/rbX9g1Yx1d2hsYgJ5UW7s07nYn+8s0UkUIgJ4gYXvk2gh9IFRl4I +M0F7vbmaSx6eX1BJnYAIEyzf94YMoQV9N+cdYjMho1zsg91djNeq+LhbHCZE +7ZtR6UZPBDeF9IoyIZB16arlPTZtPtvtt2YJE/5Y1P7oRG8zf+d7aikTYqvy +zUzuYz1ozwoqXcaE37n6tS3ouIzDV7glmFATfXXj3gdsev/PkfSdkkxo6gvL +a0DH8lhXREkx4ZeM4gr9fDY9O/v08ztpJiwpD02vQW9eOkOKL2fC+tVX5LQf +YnzFSqnZyjLB9Iv+/Qp0baKCS94KJtw9+GizRgHmj83y3Ek5Juzlbql/jO5f +Pm9s0yomRB5Kt9pQyKY1RJrUA+SZUNokN5uP/uQYfOnFaiaofrZIUihi044H +V/cIrGXC2Tk9yEUbC1domygwQSB9cEDuEc6L77blJK9jQpyOVlw6el5rMbt/ +PROyDu3cKVWM92NdicsKSrj+A+TcTXSPxTnijDITHj7wLRV7jP3s4MuwMhUm +GPfknotHRx0TEJqvyoQu2+gtwiVYv0sN03ZtZMLpvDXMK2ipa4GbYtWYIL3O +v42vFPNlVUF7pzoTpm0ic8LRvPe7fGQ24/OqDwQQT/B3s3nyThpMcK9tsQhC +/7Vf2fVQkwmPvvID91M2HUkZxP/VYoJXJO8KX3SWt7PJNsD431YgMI0WnIiW +DN/KhL7T4lxny/D+nvFo7M02Jty7rfvjB3pFw6dqUR0mBG1a9c2tHOeHNL60 +Y7pMWPnkxdAoWsFia0j2doyvRLlvThVseuHG8+4TO5igbqT9YwDNZ1tho67H +hNwDy7jsaKxfUgss/PWZOP88EuhGJ6ZZW7wwYMKlVfwrjlZifMjV2goaMsFq +SBa60Ae+bPQ4vBvz7f2shWkVm7bgLw5L2cMEOfe4gDZ0Ua9u5qARE76uGs85 +8Az7V3LvC8V9uL5zrPY3//tM/A+v/Uy42DnA3POcTcenHVlRdQC/pyYU6tEs +S1VL6iATeAqHvfWqsV/2yibvO4TxtXTR0xq0nuuavkQT3G+vGS6dGqwXqgYq +3YeZ8Hdbrn4letQ9MGy1Gcbbd/EErVq831q96z11hAmLuU1GnqA/bdbVe2qO ++dB/UEe9Dr9v85uCeZZMqJNYmvIIbZrkLWt4lAkW0nd4VF5gfY3TvXXtGBM+ +OUw75KMX2K8X/2jFhMcnRFoUXuL9R08zY4UNE1yz/mjnoQ+cdlZ2tcXzvZrx +eNUrrJ+rquqK7ZgQniWmlIUuvKVhy+WA+XP08IPl9djvFn0k9RyZkKBqpZyK +3l6eVXDlOBM2pG94ItGA98muRNv3TkxYJNOy4yb6Wd5jcRlnJixfq9Uh1oj3 +AQeeT04uTDin4eF6Hd2wyyuz0JUJm1+doUSa8P4cI3569iTW0/3bc2LQ0d6T ++tvdMd73dO8WfI3z0ZY/clGn8Hw37f4didZcprig3QP3LyIkc8EbfP6epF+S +Z7BePos6HI7mFdYYcvTEennIXpBsZtNXswR7Hp5lwqbn/I0X0Ut2ivdOe2F8 +BQZH8b7F+qho/U3HmwmfBZqM/dHlt7/MRJxnwpu+Ack5dH9LolCbD+73hZbx +8y2Yr8xoRUk//B6Tq9V/0aRP1UHHC0wwGpJOPtuK/cNJOfChP8ZHfrDPT7S3 +SM+j6QAmFMiVH/V4x6Zli1sndIKYUPzixc7vaOVopkrkRSY4L8rZcLKNTR/u +uuDTFswEfR9LuVH0SJdGo2Qo1qOLQ8tOtOP5N2mtOB7GBLcsA9Eh9ImxkIsF +4UyYZxEo6tCB/dhPdGTmEhNUZK+K96H7yn4c3h7BhKdnz660eY/x0i/WFBXJ +hOstqhu/or9pRBh0RDEhr7BB/2gn3ndmdjVJX2HC91hN64/on3ZmpieuMuHm +RPCFIx9wnnpSMlIUg/G5PSf1PbpWzTF4LpYJ2QJ3Xph0YX8Vd5LTi8PzfHVh +6h165z266Wo8E4R/qKww/ojzqayT34frWH8Y1WZv0btqnVRXJGJ99VOM2/uJ +TX988+yH6w2sj53nWpvQghc9SkuSmFARlyK6+zPWTxm/EN5bTOhQyLSqR68Y +7jEzTGaCuWTYA/0vOK9IZG2Mv82EpQP6vC/QnVy1Yl9S0Lwjpju+Yv9t0J2/ +Og3rz+iJ4mp08svlvzzSMX7lGjk63Zi/G23HyzOY4CAv4FeFvnmAnCCzsD+f +Vh6CHqyfNgv/7LuD9TZYzbQCLZHjTd7MZoJZh0STZi/WA+vdEv05mH8jgzuf +oivehWoq5jGhXzO+dlMfm76ku8ba+y4TAvRXGpSgq0fVo6vvMWFn9M23G/ux +f7ILni98gP3u8q+jj9CreRK4TPOZEFyuOqkygPE7NqKd/pAJw6lm4QVobpkH +kaMFTFjw2G6F0iCbHv/c/VmtiAky501qH6Adj4dtCnzEhMPOis7rhtg0gzf1 +RkMx5gfzO/seevOYwjxOCe7368TaNcN433RX9LAqZYKL1przuWi3hpzhvCdM +MHmbuUF+BO9XuknHfz1lwkE+1o876O2SxMTWciawnQ4Xy31j00k3R3wvV+D7 +nK76ZaJr5u0WbqOZ0HD50S7ZUZwXEtbkS1Xh/u6uEU9H8yWHGZ94hv1zXdWU +9Bj2f1M77uLneN53c96koAnB54XcNUwI0bvwUHIc42V+uuuuWiZk+mtfT0Zv +8iOU4uuwn7f+CBCfwP2tHJv+8gLj81ms+010sIBFw5pXWN/qZeyXfmfTOg/3 +Z3rWY764ph69gQ4eexNc1YD9S17QUmySTYcy37vwNTFhu99JqwT0Cl1nC5PX +WD9H6OOcH2y6ePiycdobJvyY4Dkbj5bU3nRgtBn7/cKN4SJTOE9FnjFVb2GC +fbV5yjW092Jth6BWJhyI8SwT/on5Ip7i0/QOv/9P0McYtPP4lUSxdiaMeAbP +E/qF95k3IhW2HTh/Rp5fdxU9zVAcfvCeCbPl9paCv9l04Psv4jOdmN+hO2Oj +0VbR8qY7upig6STRuPDP//P1gptXP2J9HBhZEIXWrQ7t7/qE9eNCvhH/X4z/ +17fVV33BeazQOSECHdFlHOPxFevdPOn+BdNs+oxy9o+KbqyX3xvVL6ODRJPM +Wb2Yb7MeV1gzWE/a1zUe7MN55o7waDh67SPb7an9TCg8dW8PNcumv/zTqvk2 +gPPl522PwtBCv58aqg/h81ybpZj/2PSfgc8fgoZxP1LNr4ai85flnXo9woSy +vz0EOYff2ymxaOkoE5h/HQJC0LtdNR/bj2G9lBriJrg49ANxhl3BOBOcJh2C +g9G5St5L5iaY8Hq8dyGDm0MH/LrZrj/JhKobx25dRJPFrjfjfmB8nfmgOJ+H +Q28unnD8OoXr5z70Mgidoy2rpfCLCUn0G/t5vBz6RSZL7NxvJnBtMKSC0C2r +Mmer/+B5f36RzzuPQ9cv/jkgOM2E99t3WgSiDR7PdJrPMGF0oG4h73wOrX/4 +ybvsWSak6e2qCUAn6Ch3TP3D+Wm42Z+HwaFnK227t3JR8NHIfFsA2lLywFQE +NwX3ZoYJHoJDJ2fN8b/noeC8m1+zPzov03H9inkUqCpxUrlJDn3WNuaw+3wK +HlQ+OuOPNlvnG17OoOBdqpkRN5NDpxitfkaRFLwwIdb5oxnsJN5DTApu2ZUu +4qY49OlXbwzSKAqu7Dk9fQFNlzbcGGNR0BSnNsjF4tDyylcmN/NR8LZi3ocL +6M2+y/aH8lPAt/v9W64FHHrx0KnSloUU9D0veX0BnU1fWyUlSIHknbRmLj78 +3r1Bt50XUbDb+3rHBXT+EEiUClGgUXW9l4ufQ8e01mcwFlNQzJXx8wLa4Ogq +lf0iFDwpLVvAvZBD97UdepnMpkDbo1vOHy11+bDDCIeCA/kiO7kFOHRN3Tp+ +dTEKlH8ecvZHS3d2Prm4hIJFtVnx3IIceqOgpVvzUgrW3mHU+qOflZYqSIhT +wC9+epp7Ee738vFJJwkKlt+dVAlA99zgqnwsScHPjoBTPEIcuvnkt2vzpSlQ +WCVTHID+NVHsvk+GggCJ1jkeYQ4NzscOJS/H/dmaYBiIFlEc1h6RpaBH+ORt +3sUcWjDioJq6HAUvl5n+DkRrNaerBK/Ev/9yyHieCIdO2tWm9nYVBSq9jsVB +6CrDMR3J1RTw3IsWn8/m0EtkRk2c11Cwv7I+/CLaU6LVo3QtBWfSxWfmczi0 +f3TGdWIdBe8/BLsHo11rjj4/sJ6CJePzRxmiHFpFmPydokhBtXWSSwiapzpJ +eUyJgsgy/R+EGIfmVpD01FDB/Q0U9AtFF96MqQrbQEHVpgl+5hIO/crm9+I2 +VQp+OQ6lhaFDWva4LVejoCNuVpNayqGPat1ocVOn4PaO1V3haJfJzi0Vmyhw +4vHwZy3j0Nt0hAoWaFDgadgufxl9LnCbgqkmBevvm3QsEOfQmtxO+VlaFHDd +m7ocgR4UjNSY2kKB/ev7uvwSGN+8d5u2baVgOimENwrtv+bF8ehtFDgn+tQs +lMR87Ozm+6hNQdieq5HR6F7rf49X61LA0q4xE5TC/BUTO+G1nQLGjKjCVfRl +IzW52h0UOHJHzheS5tByJqZDwnoUaL2X/hqDLgjyL7LSp6CRr+OZsAx+78r7 +oQ8MKNgjk59zDU0n9Fj/24XxlZobJ7KcQ59ZJbNj124Kzgm+CIlHp8ufUErc +Q8GqP0xfjiyHNp2gZQeMMN8+u3gloFveSkup7sN83vPbS2wFh86UiVketJ+C +1IZMvxvokxuF1jcfoODV13PhS+U49JhlurbkQQrGRU4n3kQ/mdph6XII3//9 +2n3xlVgP9OYCnppQsGum60UyWqLg1T3KlAK6zHBQchWHZoXc+2piRkFmeS9f +Kvo9O1s86wgFbiGZG2XkObRx2VOrKXNc/+1ou3T07Yahe9qWFGy5mp4ou5pD +DySq8F49iufR+/VtJtrS94bl52MUXJPetWjlGg7dVS/5XMGagpDmz8bZ6OPv +q9f72GD8+abckl/LoYPmLmW8ssXn3YscyUVrXfGQFrOn4O/wnS1rFbA+9V/I +cnCgYCc9Hn8PPXHooUqxIwUXCu2m1q3D/FKjXs53wvzayzLJR7d9DrM/cALf +L/WpQmk9h16do8SX5kzByrtf1xSidw3MfzLhQoGir0jyBkUOPfdjnhucpGCr +uLdIMfqnrOK6KLf/91MwRk2JQxe3XJrqcqdg6fd24VL0cxOR52s8KEhSf3tj +szKHfkc2J3qfpsDQk2tlGTptC+318gwFhzYcK9FS4dBT+74eFT2L+TI7tYdW ++X+/1I0cvLDemlYMb93AoXe41+4oPkdB2ruyy8/Q6koROxjnKSidnlDSVeXQ +KxUv7zH2oSD6wJGPNehlL6st030xP51mI3du5NAKxpvPTvpR4PGqVecl2kNh +9Po2f6y3/3rnDNQ4dGDup8orARTcjVagG9Df5AQnPwdiPWU9uLhHHb+PK2jN ++ov4vX+PG71Bx4epu/gFU+A9aCm5fxOH/i6p/LgxhIK9VlFTLWgfKXdKPIyC +9vE/TQc3Yz3p+WXjHE6BgeTt++3o3Krq2qeXKJh3PiDWVAPzZ1mX0oIICmKj +Unw/oBN3bMk0i6TgUt+ss4Umh755+5tUbhQFUQuuW31GjwcOZvyNpmBHxMkj +VlrYPwxVlPSvUpD+I8SsB/3nYFNNQgwF4Y0fLe22cOh7M0+sB2MpGMg87TiA +7kucJtXjKBhjGp49Dhx6fmTUo9B4Cp4F2l4eQSsreZ1ov47xcbsiw2Ur1tPu +EvmVidgPR8yej6PPc+2f8LxBwcSPTQPu2zh0cLcuXZtEgY2uueAU2mggJp59 +i4La48+2eGpz6MqTWp72yRT0Tjif+oMObd1uWXwb65m9eZ63DtaHM/f2EKmY +fyZXh2bRsQ/O7DyUhr/v5VO4oMuhO7/c1stKp2D2U+MZnu24f3YK+39l4Pqj +254HoS8kS9ruyKIgY0KOQ+zg0ML9Z/3i71BgHEWfDEPX3FZL7c+m4OSvlEbW +Tg7tsOJYw8ZcChyK6xUj0ZfaJ7lC8yj4fGRrooAe5jP7u0b7XQounuYiY9Bb +t5j7r7yP/SyS8l6sj+dVoNp49gHW341HJ+PR0g1+Mi/yKRCd4XYTM8D4mVD3 +Fy2gIMdpfDIJzeVn1+9YSMF3oTXnJXZhPrxhHCwtwvMLLGKmoh8aLW2girEf +7IhIWm7IoacP3Nll9hjze6xAJQt9a1teS24JBTqUfPOq3Rx6t9cq25lSCtbI +jnvkoZ8clvq36ykF1k2MZev2cGhK51ryzTKsJ/EuL/PRdTeC9UbLMZ4WrPRR +McJ6Uv5zWovGfC5T3lCM1hHofxRVSUG22tXv6ns5dOq4ybnPVRQM8+kUPUVz +VxtuV3yO+V2v57NlH4dmDtaIBVTj/vCk61ehZZ5X/2quoSAC9i/T3c+hPxYZ +dMnUUXBzsclULdpW2vSVxwvsD4IFzfoHsN46fq+sfkkB8cymqAG9a3xxpUg9 +BUWlzjeNjLF+sWvq7BtwP0Mbw9+i32jP63jcSAH1JMTn4EEO7dvxZoL5moKr +3QmnO9Bn1dYLmb2hoPLK/FNHDuG8VCOpmddMQa7xq9Of0DN96a6zbynIrxj2 +sTLh0O4zZTm7WykQP2p/qRfN6+I8mvyOAstarVsOhzm0dVLhpok2CoYuuj8a +Rp8fjY3a1kGB+xreFhdTDu1Vs/BbzHs8X4OJnxPozvAV+3s7KdDz0JQ4bcah +W5PfV6p2YTxvHNj1G812Wqse+hHrl+x3P+8jOL/tkSzp+ITn9drs8T+0RVHh +1tVfKLhRJ/vT35xDH5gbbj7/Ffcj2Uh9vgXOd3G1Jxq7sf70ffAPRV/7uHOh +ZC8FD9e9amJZcugoLbdStz4KElhLZaLQZ8S2uTzrx/lwwWvvRUex/n94Kr94 +kIKNz/o7rqEF+7+O2Q1hflVZa4oe49AvU4vKHg/j/HxDJzMJ7empGkt9o+Dg +l3BhSSsOrfrS7tSRUQpGlm8MTUMrzttpdm+Mgi+/9bjlrDF+L3cacE1QcHbs +mV8OOuuFtO6+7xR8S8zgVbDBfJWR2JE+ifNwxNjlfLQ3b/Penz+wXpmmLtlg +i/W0ScN2508KpmLK7z9GL5g46p/4C+fpeh09DTsOXfR6S+bIbwr04zcMVKBD +2t6/1fqL+RF85bK2PcaTkzJ1ZRrjTeGwai1a8Y++XvcMBWZSEb36DugB6Ssb +/lFg+n1tYiP6curTLyFzFDSraBzY54j5Gy26+T0XC3TOPxZ6h96wdPPNNTws +WHgkrf3wcQ69/oE06cfLgnL72dQutGvhG+8381jwR6nW/ZgThyau6f2WYbAg +ZC/3zl608dNLPmcIFmw+lCfteALjNyaB9YJkwa+2Op5vaN0Qj9QlFAve2B8a +OOnMoQ9zi29zYbGgO9Hk7Q+03Yn4IXoBC47Mb3h21gXnKZWvN4T4WRCwuahk +Bv3x2Zyx3UIWvH4jWHTBFfM9bIJTIsCC0iPdRfNO4nkMPe5hLWJBzUn5p6Fo +A9NDJRZCLKhI7a9d4MahK7Y2xuULs+BwyJKOaHQfJeEzT4QFjgU1Y8LuHPqg +rMGJQ2wWzD0ZZCWgJ6b32+RwWCCqenHtslPYn/9tsp0VZUHno4QDKejwOG5X +oyUsCHor5y/rgfVLKds/bSkLvKXWF2Sjg7co3/y5jAVSqgVDa09j/VqbUqkn +wYLxzHy5h+h62x+jSZIsyGOuOa56hkMLmSrIjkuxYGpS+mEpeuS0kY22DAti +p+PmtDw5dOmqI3lxy/F9j0L3PUOXd++bHZRlwcvS3zk7znLozwtVD2nKseDk +rX6yHj0sQZRGr2TBjV/GJ4y88Dz9a2V7VrGg5IhOawvaPv1s4sbVLFhmU6B9 ++Bz2119LOJfWsGBdelpxFzpg8OGtj2tZkFmwWNHKG+vPsJaC0joWiK+iHvSh +R5wray6uZ4H5DX8Vp/M4b3zc7NChyALFlPPlY+iX9+8vWqvMgow304YePri+ +veI1F1TwfJ7Nff2NzlQJC2jZwII7/GE+Pr4c2q92YsfKjSzI0bu+jMcP66fP +YZHzaixYsEDhWTB6YV3ltyZ1Fmh903dhXcD44axplNnMgt6gMfFo9KWuhGJP +DRZcOb60VdifQztdXpDzSpMF0xuaoxPQL2MvZkhsYcGkr+A+8QAOLeDIyDkF +LPDres9JQ8v7RBfXbmXB1UGFXrlA7FdbZRuXaGN+bOYvzkNXytd8c9Vhwdfj +XpGKQRx6MttD5LkuCx4IuDk9Qt9QVNrJ2cECvuopw80XsV5t5Ao8sRPXI0mq +0mivNZ9raD0WtD+5I6MbjPFx8a3QYgPMn3XtIi/R3YWdjo67WGAvHL9wTwiH +NlT8W1dmyAIP3j6+FvS7E+sVF+3B/bxWLXg4FO9PnX6pdkYs4LZRXfIRfX5i +cOmTvSzoINTlrcM4dJnsydsL97PAQaxRawBdPiS01uYA5veGnybO4Xhej99V +PTZmwbaJ/LPf0T1zJcf4DrGgeID7luclvF9uqmBameDzi/rqZtD73/eXPjqM +8Tt29I//Zdx/kw2nWWYsOKHsto6IwPOTy1Y7eoQFx0U5TpfR6yt15heZs4DU +OJgnGIn3lwRmJ9OShfPvmsk4tMaqPyUWRzF+kxO3LI3i0JHdwqkFxzDeFqde +SUEf3GYRQ1qzwERRe3BFNK7n6bsIcxsWJET4bs9DN9X6XXloywLe6gPZilc4 +NN8H01uEPQsM3GsEi9ERbo6FRxxY4LK+xU/jKod+zXX3bb4jC0wTfScr0RSX +3AzDiQUSBjUndsRw6LeD7WuPnGBBV1fucD1aV+W5Q74zC0a+rTu5L5ZD65kM +5TFc8bxF9v9tQ5e92fXX7CTm4+TicPNrHHqLyDejfDfMD0kviW701tv1Dxin +WCCs5lPqEIf3lYER0SMeLJBvkzYbRas67rmcf5oFxgnHuT3i8T5yc4ogPFng +L2Z89w+6fubz5SNnsb79/Grhdx37LbfQkodeLFj9UlhkfgKH5l8V8ZDwZsFa +xeHmcLTwkNF+8/Ms4NTZXRNIxPm80nL2oQ8LjFaHmsehN8o/eUD6sSDu157V +S29w6I5bNs4WF1jg/qL8X8qN/8/HXLnQnwVPNFvb5JLwPng9i4cKZIHeRMyj +u2hFYZ1OyyAWrPSfTlS+if0kQqWs6CLuZ/iCiyVoh3Pn7rBCWLA4p9Zjyy3s +f2bsm8dCWVDks/Z4NfpE7oIbxWG4X6latgbJHNqtzyyV7xIL5j+atn2DPnKJ +UWB9Gfff2PbEodv/z6P8DSURLHgocf5sF9pivsf4wigW7M+HcOsUzLcW9WV2 +0SyIv1OQMoiW4z62/+kVFqSktZa7puK8Qw1fXRTDAjfI+jKFFnbp6HSIZYHK +slXU+bT/83etQsU13P92MzWedOyvGoNhi+NZoCAAJ0LRQel8Y07XWbDe+l0G +fwbeB44mmVclYL08KdEbi947EdfKuYHx2LpEfkkmziMt/w66JrHAS6neIwWt +Hdr6pfomrk9WsVouC/tD5NIzS5PxfHYbLLmHvm7fKnTqNgsWGSzxVLmDvsL9 +5EUKCwqepLSXovMjUp0k0zC/tnzasjWbQz99XyLrmc6CW6db8mrR09M7Bxsy +WNA66y+xO4dD/3DZ+2h5FgvyPQfiW9Avi1sue9/B/AgkRcxy8XsPtpxozsZ+ +UvE14Qv6fMPeg6tyWWDZ4CnjkIf98MZuvQt5LPDZVfdwFM3Rrddtu4vx29Wy +4/RdjD+DegOF+9gvJW59nUZrKxqZXXzAgoaC5YEB97B+eh32+JDPgrZNjquY +9zHfUgfjlAvw+4xPtEahXVV4noUXskAyTSFE5AHOQ/fTf38pwn5a/UDrJvp0 +QvNG9WKML4vJaZl8Dr3IPeJC9GOsP3y/ynPQUvS75v4SrKennoYoPuTQjvMf +KGx5woJ/SjoHH6NDasVi457i+Y9Eym8pwPtfKId3tIwFH7benFeDrm3M8dat +YMGuFteeXYVYTyXezibROF/oEi/fou1mr4b9qGSB2kabItMiDv1pdFh81zMW +mBmEZH5BS3h9Kkt7jt8r43bT4RHOS1KudtPVLEi0kk4cQxufSOLsr8X9zrmR +dKaYQ9/54tCSU4fzUFJX+iw6lfEugeclrq9z4GHQY3yfVa+D6SsWZFPlNawS +Ds3wur71YT0LeOrNP19Fa74dl6EaWbCvqm5OtBT3/+fYQqsmXH/03PIU9LUT +8fNLX7OA0cFjtPIJh84uHZi3qJkFTlveXriPrnfo5Tv+FvPdzq1Y9Sk+fzZS +sqqFBWUTXZNlaCZvv4bYO8zvIFFV3TIOvXRu1Mq9DeeRyuW+9eij3neuvmxn +wR5Drvr95Th/cS2ul36P/fRlnkQneg1bdaF3J9aPj/JeVhXYr3fyHXn7gQXn +Vnu3D6IlliU9XP0R693BW5puNNY38Z5FQZ9YcInn2p3f6J+tfec/fGZBXYul +6IVKzJ/GjHGVrzg/uM1FEVUc+twVaZeIbjyP8x4LotAOdyymenvwPBIrIkWe +4X3lllmwVh8L1pz8InIL/W5WTCq+H88z9X267HMOvWrvreqxAfz9Xa7aXXTj +8v5TO4dwvrtv3KxSjfnB82t1yjDme2u721P0As+mb39GsH8ObWDr1HDo5/zu +JftGWbA1zrnqFZrc+zkyd4wF9PkLp/bXcmiPN0tc5k2woF/bVb4TvWvxikPm +31mw+8qmfqs63L88Lv1HkzhPUN3ZQ+jr0ne3L5zC8zd2dHd/gfHJWGvo8JMF +VpxG+IvO7PY3r/yF7/8tuDjgJYfetPOup9gfrDf/UWDf8VR+fwDAW/Ydz7Vy +n1tIWcleLRyUlJARGWVklyjKDCk7SlmhUESJQiohR8P+ZmQkGqgoKzIi8vv8 +/ny/7vXc85zzWcdN1UmuZqhf+FGGzyIPii/c0ZoIHumLb2z5C/WmSbic2QLf +l9JbLbEM55X9LTsHnKLUpxP6D+bfdwnXpP8TwldjjBLer0A94WHFloAdq3OG +FFdT0MaJ2Kgdb+H+btOtE7eGgrDY59hacM3MeOHXtRTkdEgoaX+rEH4m8FNY +k42Ctgmr32kHFxu3ZKSyU9Be5d3PrNqEsI5SitgUBwWJqku9GwCvMdxfdoCL +guTa//52b4f8VRg2zOWmoNmCp+Q0mMfz9PQyDwXtcrHdF9ghhDuu/ci2pFLQ +y0c/A9a8g/xQNLEqoVFQgMLx0liw8qd7LB6Cggzj637xdgrhCxKzw04MCrrk +JaCaAXbJVHnxgpeC9oceCt3cBfWx3f2WED8FTTj5txaCY6xTos8IUNByQ7y4 +Sjfcn99UBrcIUhCneeKFKnDw3b5ACSEKKiy+OLSnB+bVxPnwMCYFvbvgbPAf +OFSQkfyBpCCLc+oVh9/Dfa9JukRlAwVpqS5u+wRW1tbtSdhIQdmuxXddeqHe +Uew4fghT0Icn5hKT4MKaEG1dUQra3jJe6PcB7keTdyJubqIgWZNA9VV98D6K +be/mxSjIenKxIRp8XJBtm+kWCjp3yNue0Q/5qb4n4YE4Be0T7lu+AfbccmWR +XZKCStfszhH7CPdJ32FvBykK6s6/fqAQbFpjNFUpTUFNTwcXlD8J4cmUuiBB +GQpq6Zd+WAVel3iIOL2Ngmxr3T32fhbCzXsniptlKeg9/Y7MW3CPfo6lhDwF +fTzTPW3xBe7XSie4LyjA+pPX4c9gepphfZ8iBZVskrvuNiCEXxEHEtSUKWjH +K7OTU+BaRUe7RBUK+m/LOYPAQdiv5NSdY6oU9HoqWWHtEKynfVRknzoF6XaV +sS6DjULs6be3U1B5YBtF4KsQvqk0z7m8g4IexY+tvQU2iiqhHNlFQW8qOFdL +fhPCf/gSybLdFFR1X3zdI7C7d6oSTZOCHCh7qDu+w3q215m7a8HvxTpteAn2 +WSNy4TWCeGiPUjQYhvub+52nIjoUxJFQfLATHLbu8J9AXQoKO9HreXQE6t0p +Vd3uPRAPglzJ38GWOnppinoUxLtb86XXDyEsKBQzf3kfBYVEB8z+ASfErtiP +6FNQZkGlXPhPmLfVCjt1D8B57mc7xTMqhEXL402zDCgob71lWRJ4X3bBh8WD +sD5c8m/jGPS7pOWTFkYU9HlK4FA++PS2BK5SY8ivI5fyFcahvrPZPqKaUFBk +zvK65+BzFW4O7qYUpBgU7qY7IYTZfpRveGNGQVPX+DpawNek9g6KHqagtJQS +bYtJiF+WUGmwBQVJqhx9+hkcaatw+b0lBeUy1yu7/4J4iL7irWJFQdKznx9P +g8t3qdtdtaYgobPPdgdPQX/jlz4yZgPxsS+niW0a1lPiYqN/lIK6WBnHroA3 +lUy55R6joIasu3+EfkO9e9gctsqegs6Ev067DX5vMHfb1gHO88ys5rYZIbwo +7tP6zJEC88TO0XKwYr8uu4ATxJv69Ztas0I4i+Kx77QzBSmcWG3RCK44Mnzt +PxcKeugWwW82B/F/tHpE2o2Cxj6L9PaD7SrH9SPdKcgnrP2Oy/z/4yOwbNCD +ggYW0n1/gTdwOElpnYT3WQo2CPwjhLtUivIzPClIUN1fat2CEE7SsFT8cwrW +bx3PkwBOe3n8jbk3BTmur55Zvwj74dx5vOQ05PtGzq85YNX6+xSaDwVVbvDq +lfkL640dqfHwpaA9ddOd5eDgQ1fO15+F9TZd79ZagvmxMnvvFj8KuvfB9FMj +WMNTWOiCPwXR8xXGzJZhPuDknv0YAPv5RXbVJ/AJJef+nUEUpLzDgHT7J4SX +YxXfpgZT0DGHmJ3T4Pon3k0z5ynoPvcP++AVIfzReku7SSgF3fjuEc++ionZ +hYwGi8Mg/+/S8VWwdNLkMk84BfUt9fwhVzOxhC/3FveLFFSf/lo9D9xgk21e +dwnOS6k7WH4NE++eLL2yOZKCJs9SGyrA4+90u8KiIL/Wn2DuWcvE9g/NxT9F +U9DOxknvt2BJqeHQXbFQfzQy3x5Zx8QmA0tf0+IgPyVPKw2BfcJTzecuU9Dj +HV6ZnmxMLFry7K1ZAgVFSKRS/oAL+B3NSq5QEDXnR3g4OxP7miYP0hIpyMzW +dYXCwcQPeM2DT16D9+NhhKeCI5azRJuuU5CI4zC3GCcTlz8NbJVMhvXwjd54 +ABb68S06IoWCEjo2yKtzMeE+O3RwKJWCnpudb6oFPz/sy9K+QUEnDlBPHuRm +Yu4v6TO30inogcd/fD3giItH3i9lUJCr24taBx4m/jlSXGd9E+rZ/JezY+DB +51k1z25REOU/VQU/ChMfy9r2SjCbgm5mVv9aTWXidTqW7b45FLSKFfD0Mljs +4KafHbdhP5bcLq2nMTGn22WqYi7sx1y85W3wC630XVfyKKisekRBls7E4SEH +fcfvUtAL9kDiGVi/NfepQQH0k0idOR0Cvv8hl+3+PQo6/Vtn8D/wMSOjY5yF +UN9XB3ceYTBhvrpd6/KAgg67TrQMgc+zcuXfFEE89KY3n+Jl4ndNZgWbH0K8 +0cLbFsAS18tkwh9B/Fbl9l3iY2KOjW8qvpRQkFra2nE6PxM/E4o11SqjoKIj +WesywD8U183dfExBw2X+YhICTHxEQDV3qRz6g/1VvRJwurfwUZunFCTDP+y9 +W5CJb07Vij5/Bv0z8nxOPdhs76ZJoecU5Oxp/t50PRNHbtBs8KukIO2wkwKf +wB/EyAfdVRQ0dLbuiLsQE9/ifJqu+oKCLNmO354BpwYLJiXVUNCPbzrToUwm +PiO7M+03hvr+1kWfh2Ri8+bN+aYvIR79WnNTwGpsXbjk1f/f5zyHGIuJR2KN +vxFv4O+HT3sXgROpyfzedVDvhYs+b9/AxPc08o1a66GezMgffg1+3xx1Xa6R +grw2/W0z3sjEza7bh+KbKKjnKN2sDzz08rnGeDMFLTp49rkIM3HNFeLOwf8o +yOi7gMc0mBa2i+/BWwqKusO1cl6EiQv3aCTwtFGQuen+dC5RJv59ZT3/iXaY +Zwq7diWD/wi05DZ1wLzl9nBIdBMTn46yRVs7KeiIdk/iAzDjRtP3mC6oR78M +9baLMbHd0vq0H91w3nL8q1+DlV30zPe/h3wq3/rSeDMTi8dYsu71Qr/TvBbT +By5mGo5z9sF+hRtYum5hYsFmqSa3fgpq1LCU+Q32MB8rafhIQaFST9hCxZk4 +0P1GrtRn6A/Lbt+5JZg4oVLxdvQX6CfnvP9LAQuwPb0/MkBBzYb/PReTZOLF ++a0v9IcoKEUzrLgY/NfgSn/BVwoSXxtbsFOKiRuffGPj+k5BxhajBXVgh3H5 +ne7DFPR7OvehqTS8zz2vgMYRClqb9LTqE5iaefeV9E+I15nNbR5b4fsXu4Vi +R6F+tP38MQd+T6wO+DkG+zdI4b4oA3//T/LrgQkKCvweq0DfxsSr1xlaF05S +0L9U56MZ4Ae9p/t4pmC+K715VVKWiVepp7menIZ+Mq3cVAY+9q72X8tvCnLh +l+ZGcky85+SvbNlZmIffnT/UAlYqFzdKmKMg+TGlm0fkIT89jrNPzkN8s/b/ ++gqO0ytsNF6goEMba/efVoDvr15JfbRIQV+KM+4tg0fM7U8zliAfL/fSYxUh +P5bbDp9ZpqDNvkHBgkpMnFRmuvfdP9iPTeGTt8FKysNaKquoyNNswk1emYlz +t1/dm7yaihbf4JFK8FiwscXcGioSUF88pa/CxCHVEmcs11HRHqeMv51g4fL1 +N56xUdFpnrwEB1UmviC6pZnJQUUnf66XmgAXVhtyBnFS0baamfpANbBeyqF+ +Lir0+92nONSZWCpg5Y4GDxW91pkkk8DT/HFrsihUdOgU7a3odiZ2fbfz5Coa +FbHHpEcVge3PEQMOdCpKNEnat3MHE89WUB1eEVT0PHKJWg8et1YZ28JLRT7D +7z6Y7YT1sCLDI/moqEOJVfwFbPZ03ZYRfipiSL2L8twF9WSipG2/IBUFRC65 +LoIfXbgSXbieik5Q04yidkP/kMsyoDKpqCD47i5+DSY+8WSQ6UVSUe91Kfkc +8OVem99tLCqq5xWRltNkYmRJea+0kYquV8RKV4Irpmbrk4Sp6KD+SQV9LSa+ +4kK+mhOhop2hrzW6wJJBQY1HNlFRiXCSiSOCeJwk+56LUZHhcN+JSbDHxcX5 +DVvg8xuZl4O1mfjOX5ZoqDgV3ZrrLuPSgX5GXjAbkKAivpq4gRRwYI7MNV0p +KiIfVwps0WXiT6Yb+/OkqagrxfVQCVjst6UipwwVPZG6mqi5h4ll93xM9NhG +RWIyar3N4JPcD5dbZKnosZ21pNVeJnbnbvWVl4fnRS8HfQcLcmnNJypQ0WEX +0R4fPSbmrV8VMaNIReZVr7av3gf7SxUUtlSmIsmDI9kJ4M3ZYS8rVKhI6X0C +fYM+E1N0dM5sUIPzF3t26R6YVmkrG6pORVkTTqvU90P/edv+e2A7FW39lxz+ +Glytd+fNnp1UdJT/II/pASaO+d5xO38XFUnMRKV/Blefc4zj1oD9tj+g4GnA +xCVVZqGemlQ0viGpZRH8IqwgpE2LiqLGnL2iDzLx92jHGGVtKnp7DQsJGkJ/ +uHkxK0UHPn+X23AHvCmKWrugS0WuZ/hCFY2YeIm6ZsJ2LxVZKFN314Cd/jpK +YD0qMvpwbeWgMRPzCCp5bNanohyZvMYP4GWp0xWR+6koYnRPutshJm5a3MT/ +8wDkx6czp+fAh630Ag0PUtGaRnnjSyYwL/B8GX1kSEXzXsHKvKYQD/2/3PiN +IV/SrISzwQUpgVN+h6golr2BLmfGxHS20Ig+Eyo6EtbAUQXWnl7ZomVGRe+a +bNgPmDOxrvRK621zOJ/CcJ73YDW/kEh2CyoKG9ZY73IY8u9uqL6HJRXx7E2Q +ngEfv7hO8O0RKnoU46sTbgH9/QNtUtGaioKCphwISyY+F5D9LtmGiq5+YYu+ +BTaVrXy1YEtFrNDSx9uOMLEztq85eoyKLm78M/wcvI3tel2tHRVZhvds2m8F +8frGrFfcgYr2+po49oBTW3PnYxypiPO5yz1nayY2nonaNHGciopJofnf4Ier +VixMnalI66iLQbgNE398xZP2xIWKBvRN7xK2TOxIffSVdKMi3rx+jiywdNH4 +7lB3eP4Odm/Zo0y89kxd9pAHFW35r/VTJVh9225C/yQVOUjtND9wjImPFh2K +e+BJRXQ+vbb34NLXbLwML4jXwzOmrnZM3KFzNPesNxXu13v7Z8Eb/x7R+XCa +iq6t2nXykj2sv2pxVNOHihoXO9fwOTBxkM2enDu+VCRyij87B8xfoO7IeQ7q +4+ZFXQVH6Fe+3XKefuChyIkX4DvJYhwd/lS0wa8yy/D4/89746haIBX9yk+z +7Af3kE0fMoKoSFtLRPCEExM/lZTuXnWeio6zH+pbAB/t2v3ROQTipU4mP9qZ +id/Ms/9qCoX8PlAWsN4F6pdDDE3hAhV9tRk2vQteHHuzPTmcioRfNyipusJ5 +ub44tXgR6qXhEeZr8P1C30d2EVQk+iqF3cwN6nH8z+XXkVRUOnFpcQDcObDJ +cms01MuMzbPe7jD/hG2ouhJDReuv+8ytgNs0+rfNxkL+5pz9l+DBxHVTjves +L0O9StxKFT7BxJo+pYo4nop85a6LFYHJ9JY34leo6JjuI83dJyGeNMqc465S +UWdGuEMzWErZjTGVSEV+a3nirD1hPrMYb7C4Dv1H70DlD7BMyJ7LVUlUlCmv +Pe1/CvrBRS8bsRQqWoj7Jc/pBfO2prdadCoVJUha+aaCb8bob5xIo6L0t0E1 +Et4w/2ks0s3TqSjf0IrxBCysGkV7ngH7fXrafe9pmE8PTAmJ3qQiU3b9xk7w +Vsud8pG3qOhBr7W80xnIL1Unk7EsKnJ7JpP5G+z+0jvUNAfiwauSftEH1v/e +oeLZbSqS+o87lteXia+b7FgRzoV4v0Xy3AY3UxYOReRBf304ek3xLNS/b7eL +R+9CvWoL2VQLTinfLmRaAM972/nk0Dkm/mdbFf/sHhVd8Zsw/QKeKZenixRS +0Z0bLbNefnCfuJ2UGfGAiszWemetgF8ujqmOFcF5Xuw1vuIP8Z+zs8/0IRU1 +DHNxiATA/p8JvVzxiIo2rVrzphg8drB6v2gp1PeMlzGagUzcT5vjjSqjopao +g4ffgl3SZEbGH0N9Tc6WPBYE32+0azR/Av3ues2qCXDphaQnlU+p6LfJ/S/n +g5n4dVbzQ7EKKprKcqinnof+yM5RHvOcivwNvz++CX6apF/3qxLyaeuOe7Ih +0L+3XRuyrKaisxw2udXgR0XfKDUvoF4+PnjXMBTq5989OhKYiiZW0x9+BPvO +l1yMr6WiYHz7hWcYE9+9KNc+8xLOH3N2LYMDwqu22r6mIvVO7en4C0w83330 +6qs3VKTbbCQoHM7E/znwr5GppyJHPwXtYrAYz2DotQYq6rs3fEbzIhPrPG7g +Wmykou0qZwvfgq9rNWU5NEN/Hen9eewSE3sljWg3tlCRXqqg4iS4LFn8l8Jb +OC++bSGhEUzcLnnxflorzCfyrA56JMxbimtPr2qnIlr1123ZYKcb+bpuHfB5 +QkyCQhTM4zpnxNrewX6c457H4EI+Z+r2Lioa3efmYhIN/Wfmwrrsbipy6rrT +PwAub27i4HxPRf+mqq3OxEB8hGiv9+6F/PF++nFNLMT/3LDS+w8QD+KJbtfB +60hsjfqhPgwaLG6OY2LL9uaEgo9UNBM8cu0xWJCd2kp8hv5S76q09zLMJ1kR +rIAvVHQupel9F1g8Ut13YICK3lQzIl3imXhH3pbe/UMwfzA0d86Dw78aHSj9 +SkXRLodmoxLgvib3rJ78Dud1df9ToStQ3046mlwchvN13hp2D7wUazw8OgLz +XMVv451Xob74XIgx/0lFqfZ3JZrBcsSievUoFako6q6zTYR8NaycFh+nov2r +mkfGwH5C9RUJE1SkcEez8/w1mI9tROLnJ6kofvJWHe067OfaupP2U5BvlWM1 +WWBiqepI4zTkS58UVkiCeUGZ3URpBvJX0ry+Fvw19c7hjFkq8vL16jJNZuLP +vKku6+ahn9wI+jkEnk0ZvOj5B/bzZAD72RS4TxHRRd0L8Plrd2n2VKgHp2KG +tP5S0Tc/Q7NUMM+tEfF7S1RkcEz8klQazKNX8315/8H+Gk1XVoDF1Rpag1Zg +fhQpXzxwg4nfBh5U/7aKhtrvnUL94BAztUKjNTS08Eok3jMd6ndhlMyztTRE +6DV++QemBeg828RGQ1ycJ3ddzYB5s8DNJI6dhv4McN7clAn1Sm5pboYDPn+Q +zVYGJv/+KzjGRUNZmipn99yE+8saH9cGbhoyOvN6tAt8TMlaSYlCQx0ipu6u +t+D+deEJVyaVhkZEPo3/AWsNxYyz0WnogYF7QGwWzL/63R+9CBrSDp7h2ZAN +68m9+aGXQUPjsWF5RWDf8YEhXT4a2mNC09PKYeI0wbyFIn4aGiy4Nd4G1hD8 +wRISpKHwE0qZjrehf3x6eCB8PQ0xfZpMZsBcrn8jxoRoaOiGKy3yDhNH3/nv +PwuShtifc3esz4X7UoyUWC2Lhn4XPc68B27lpV2U2UhD5odcTu3KY+IspbBf +ycI01BMkuu8/sNPnMI9VojTkwfNVwu4u9Gc+3imPTbA/H0qoU2C1V6qXusRo +iPEq9m94PswjI+Ob0RYaas7x+sVfAPc5/91t98VpqMLEYewueMVrc4yAJA09 +Lraf3H4P7luvc43CpGgoKOnUQhN45vRL0VFpGlr7OY776H0mrvUKWTksQ0O5 +HhVik2C+Zx9+4m00lMn3R/tCIZzP3t5BGTka8n2i78b3gInl+YKHU+RpqFL+ +QXIeOETozZ/VirB+281N6kXw+2ZPBD2VaMiT+ZCtCXwMm2i/V6ahTt1D+rbF +EL+WN/x1VWmIWsFxbQIsK3SlqliNhs5bdA+GPWTi+n8qVHI7DTUtVO3kewTx +zRbvEbGDhvLDqm7kgbVkbnT+2klD0o1dK+olMG962hjY7qahkyVcnk1gw4au +t/UaNBS/3mrAtpSJB3dz2ylr0ZDsh9e2k+AvdYt/byEaauwx/HyhDOYNp3t5 +3Do0JDw548b/GOr7eiHbc7o0pLjyfOEuuOaTvsjgHhpaN5yduKMc4qNCY9JQ +D+IlIl+hBZyQ+6e5Yh8NiVS2dh97wsScd4PKxffTkLcLeWkKLFnZUJh4gIaC +XaO3X3rKxL3fB4qXDeD3bpEzgs+Y+IZE4wt3Qxq68rP9yT1wYnhYX5cRDY1t +exi2uwL6xzwXm84hGrqxt8ykFTwU7bqr2ISGpAQ+Szs+Z2LF3RkhpBkNWQYr +c82CS4j8t5HmNMRnWzIZVQnzHzVe5vdhiPdkq49kFROLKBsn21nSkCmXbEcR ++GXUJE/LERqKuLHtLapm4iqa95Xt1jRkK2nV/g5c/1+HSJ4NDd1PKutzecHE +Ag3MasZReN6r3eML4Bi2fa4hx2hIPhlOqgbyLc5WeNSOhm6OfRIXxdB/j9oO +WjrQENuDhYNlYP4I/bLXjjT0qVwvSK+Wia24NicqOtFQ21jdo14wx8R40C1n +yC/loPGTL6F/aRT68LjC359yUlz1CvJt1VF/fzcacg+5GHwdbLmTLfabOw1F +6/e+lXgN9WUhr8D0BA29f+gi9Rx8TEe7s+YkxFvathjDN1DfRHspsqfged9k +pr6An2R4maZ70dBAoLO9bx3EM2bP4zgN+aXxoZujnolHU7LXnT1DQxt548wz +wJStWqcHfWjoVL9/r1wDEy9EfP1pfJaGzl7IdX4JNnh87XT1ORri/U5bONwI +8y82YJPxpyHdyWfXf4CvVzDupgXQkFP4HdXzTUzsXfDdjD0I8ulS6yeiGfpN +egvNN5iGPvdpXMkF69580z1wHuqj56Te9hYmZuB3hcahNFQr8o2tBcxOXYiv +DoP8fC/SYvcf3K+vq5+XCYe/P5994zc44nhiwI2LNBQw53oq6i0T50dzXuSI +oKE+Kb8DrFYmbhDIunE2Es7371vZh+Bd6y2rh6JoaPKwt5BuGxOzZSlNmMTQ +ULmwLXcPOPy58jYcS0O7NK6vPdHOxMPnbf3kLtPQUprguhXwmoXi1sx4Gopj +DvNc74D33y6rynOFhp7fZWNJvoPzPtybH3CVho5I+ShWgrfalkuOJNJQWaSC +sXEn5IP9q8cW12lo5Z6m7xDY9xyb8ZskGrodeCvbr4uJNzw6P6ecQkPOA4c6 +ebqZOF5ErvB2Kg39rbOgZ4M5eoU8GTcgfvlLTFR6mPjZtNbusHQaqiu1z2gA +3wjOE5rMoKGoOJcx2/eQP1cN1hy7Cf0r+tWeKfCIlspCyy0a4r7mnxvRC/ep +HIflXdnwe9cjecgPkD/NXbTCHMjfcxMBxeDX767JkndoyHBLyaROH/SvtnSr +mFwaCoxuPdkDbu+dvPYnj4bWxx+YOtEP+bguqdc1H+J7w+bzqz7C/dgjRran +gIYeiVkTyeCrYh0Jevdp6F7Mr/vSnyA+93ovlxdCvdYYPvgCXD/mHCBeREP8 +Ulpzpp9h3pErX5NcTENJagt3h8FWkvY31j2iIVVzQbvgLzBvTrpp+JZAvp1M +FWYMwP3tdvvEUCkNvTx5/lse+PuRzCKzxzQkiRrLdg7C/CnXHPCqHOrVu6CY +VrCypr2Z8lMaOs6X4uI0BPNl7tGdd57R0OsxIYMFsELwGzm+53DeB9nUE74y +cdfgDYWLlZBPIrZbN3+D/Pndr/W7ioZUzIXFn4GftFy1Pf4Czrf7oKThd3if +mKeR72qgPyePKAyCTx00e6FbC/NCyLS23/D/389l7eOXNLQ17IQ1ZYSJzxya +PrzlNQ2VRJkH5oBvty2UJ72hofmLxTlqP5g4tjVkM1s99IvjgW3N4DaPi7fO +NkB9E6hgd/jJxP6vuCS/N9KQV/SJPXPgt4t81RbNNJReeC0mbhT6l3yufX0L +1NNT8t2iY9BvLlUxtr+F/Mc6W5+AI0i7toJWqDdX/4swGGfiT4yETGY7DV1u +bRv5Aua9YnAutoOGNnsamp2bgHpSeuPo33c0FGa15w3P5P/vQ4GmJ7toiBLx +RDMH3BTyy/xjN9TjL7k1ar/gfU4sOxm9h9+zJfRbwJcT7oTX9NKQ5o+FHocp +Jvbg+Vak0EdDM/6OXvPgu+yvv+f0w/OXDtDip/8//+rI8n2iod3Ojx+L/Wbi +09TjFy59hvzMzXJ8BtZ0lhya/QLzTRFVyGgG5rf2RFPXQRqq8V7pHAIbB+a2 +vh+iIZ6BszcCZiE/IhysD3yjodJfp53pczB/b2iervxOQ1rXZrbngc2PD6XJ +jtCQz7N/fLvmmVgl8sHBrB/QHywS59rAPg+kaIxRGmo4VvTF5Q8Tdy9ZfQwf +o6G9b8w6lsAdd3Sez4zD989HNF9bYGJm09dcl0kaOhao2yK1yMTpKTo33/+C ++eJRQucLsPeOY3cOTNNQKJ/bV/O/UO96djyt+k1D9altf3+CpbJ73svN0tBd +xUbywtL//7+7gzNnjoZyuky11y/D+mwd9/L9oaE7/qe8isC6+WZXIxZg/+gb +83T/QX1oof+YX4R57YrdYC+49k+asccSxM+4mqT3ChNPWky96l+moVSRXB/2 +VSS+zmTpGa/QkBiroD4TrHNSqLt2FR1xdOtuVl5NYo2QUR+VNXR0Us8/shF8 +5XyKSP5aOrrgqDdlt4bEMzdYvUw2OioUfXh8DuzBdj77MjsdZfuVfby8lsTG +Y1VnVzjoSPiYud1muCz1hX08coaLjgSar41UgFtmv+z/xk1HreVeAYfYSBwS +0Kh/hEJHqQJjjGGwjtaNw81UOvo3wFl6np3ErQGm3pp0OnrKW2/Fz0HicKv5 +tBKCjhqyJLkKwWf4Ylu38NLRrgsyWJuTxMPvKfxpfHR0+OG7kPdg908XXHgE +6Oi+2Ka9XlwkjjsyWhciSEef3/HzsXOTeFOwger0ejp6VflwJBP8KzC3xJlJ +RwHvpt8o85D4UMKfXb0kHe3g/3y/Cdw0sr/z4AY68vU7m+pAITF3bXog3khH +ZXNP4v6ABYzH5VRE6OhHXG7UFSqJhRt0p/JF6YhHUStOgkbiW47ZtSwxOpL/ +EpVSDe63ZMu+spmOPlwPvWdOJ/G6T76X14rTUYae5OtRcKv8VKSfBB1t+R36 +PZwg8Z5LwVdGJenINSmWIBkkzuRn3rWTpqN0cX2dErAk2dj0bisdMW5XBOnz +wvpaE5b3baMjXbYvVZ/BdK+TmlWydPT3QBWbHx/sh4pTvII8HfF5GVvQ+GG/ +jvj/zFWgo1LP9OI8cKBg4WGmEpyf7i2ahgCJ7z749zZemY6aR23OdYKPWJy1 +WKNKR55Ond9OCJJ4lQlj7JwaHe7/nEfXrifxWE/nlVF1OtpbsdCXDs6Weqlt +v4OOWq4UOCoJkfh7eN/qrp109H2r4FQjOFt8c9v+3XSkGa0b5cAksYVBxoMX +GnSE8xTFF8BG6nqpylpwvhcGmq6SJGaTlLhagOhIkWnuL8Ui8VpbjdSNOnC+ +J2JlMfgqX8KDa7p0NO0X8dNyA8RjItnGsZeORHfrPZwESwt8W31ej44Snv4X +FLWRxIIDk9rT++jI5ceGQyLCJLZS07jqup+OfrapbHsKVrBsHes/AM/3FCSM +RUisHV1gaXqQjtbgl3+/g824m9vqDWH99TsnQ0RJjDbtOKJhTEd1F0N/Cm4i +MT//7HjpITpanE0cLwZTxFZfkzKlo/PCPn/0xEicct1uzy0zOppd3szzGfz8 +AS8b/2E6OpucJ+63mYR5bUNnjAUdCX7/s4++hcR546ElK5YQn1PCZ/LBH7I1 +b561oiObZ0K5WuIk7ua3SR21piMrjeGPPeBPiT1ZDrZ0tD48TsRbgsSPjj55 +0nOUjh5Fs7tzSsL6ahb6DO0g/sysnmeDQ1fn0l/b05HRt0t8O6RIvNHzqclO +R6gHKNa3HcxuoHb70XE6UnPz+OguDfVhUGy1pDMdJdpJGK3ZSuJT4aGnbrrQ +0YB0TV06uPS00U8+Nzq626S6T1kG9m8p0TfWnY4q98a1NoP7Tx6krj4B8XkL +2zltI7E4EfbY7yQdhX7onl8CFyrJe0x4QjwsvU1NliWxmqitnLMXnD/3fS05 +ORLfFuda3e9NR3Ec7pN1YIWr2wdNz9BR9wIl306exJcejrU3+tDR1u8pLn/A +OW8l29BZOvrWziGXqAD5jsb6n56jI7+X9svSiiS+abz7j5w/xGv17c6XYGxE +it0NoKOaxrdlNkqw/vho641BdOQ29i19BjxtFZOTFExHOtt+xMQrk3gDp8g8 +TwgdvbvSGyahQsJ9ysDmYigddW18FloD5tXnfbsYBuf3MSLyiCqJ/UJ8jc+E +09HuLt3kKXBev+/nHxehvlF/F8aqkVi3XCDEIYKOHlxOatqsTuLP1lYyvZF0 +FGgjPVUFVhfTGT4UTUfJF0pFLLaT+LBdR0lDDB1JcyhaTII9XChxKI6Ors7k +JUXvgHyPmz7z7DLEnylv36adUD8kotwVEujoobSfdCXYNK7lVMEVOqJd7Ao1 +30XiBsabcNFEOlpylfs0Du6n+eSlXYP3GwjfE7WbxL4f3ncTSXTEXHxXKqpB +4hPNfwRjkmH/n4tJPwd/293lvDoV8knWO99Mk8Qnw71fBaTR0a2j1bLj4F9/ +WuSnb9CRrTlPVaQWiRfnxu57ZED8bLAxFUUk/q+3Q2Uok47+1Bb9qgC7z4b9 +Z3ML1mu0LtVMm8Q+hQu+nVl05PzWbu84WMhMS8Ywh44uHqz9G6lD4nv7zH+9 +uQ3f75R+LqpL4orvO19r5tLR+Jn0sOdg3djZu0/z6MhEmd/YfA+J0xMj0xTy +6UhELE18Alxv8SvtXgHUawPJddF7Sfxxl2qB2H06Mq9++XOTHolVMyzrMgqh +f1w80VsJnu2w+s1fBO9TKNZ2eB+JbfQ05ROKob/q/Hg7Cb5lzBHI8YiO9C1w +V4w+/L7p03dhJXSUM1PwdfN+Er96cGj3YinEo0zu32pwMO4q83kM9Z2rjDxy +APrNuP7O8XI6asvo1p4Gx6U8aHV5CvEyTT992QD2d8Na3y/P6MiCZV8gcZDE +DkNGktbP6UhIomEYg3kMr/14V0lH5Zv2y9sYkljreetzw2qI941fQ2bBRDJX +Rv0L6GfS6d1XjEhctEsnVhtDfh4+qbbVmMQ0weDoylo6Ikttbr0Gn46qSFZ9 +RUdFRu40u0MkvjC3VPLwNR3J7k6JXADHNuh/lK6jI8u4IfYkExLfP561Prce ++qGh6RU5U6jnCmsdhBvp6OO1IZFGMDP5XEVaEzzPM+3ZcTMSGy78FeVroSPH +ydNW/8Acb5JT4/+D+UD69Job5rA/DnobOVvpqFoutUz5MImd1YjS8Dboj8S3 +k2/BdsWzh5fb6WhiwEbO3YLE9ioLnP7v4LzLl+bXWsL5KG1snu6E/LjZ0HgL +vEQ4ZXp2Qz0uwnd2HCGxpmZb8EgPHVUtfIvoBNdvcTp5vBfqc9IOby8rEssr +ip349IGO6hOrHLmtScxopQRY9dNRL5v30TywpqdESudHOnq97rA9siGxhP/p +l8af6ejr7ZMn+sDEsV/LTV/o6PfM05BztiReic/T1xukozf07emMoyT+ce76 +7dohqO+cE9UPwAWRVTwa3+ho5veHH/uOkdhJbvOlZ9+hHo6sbBwCz39s5FEZ +oaPni0etQ+xI/Je97PbDH3TkoT13i2kP58Ec0JcZpaNLHY2jj8HV0Rb/7o7B +/r7uRYccoB+8EXglNkFHkbKSt0bBjTqbUm9NQj5uKVsb5Qj90ScokJyio1O1 +IafFjpN4oknCM2Ua5hMybrgazFMt7sU7A/VtX6+zlRPEY01gWMIsHZXYeYzN +gC/oSeVwz8P5BmkFXXUmcUKdQnvkHzpCZVa821zg/J+kEGsX6eiT8POSevC1 +OFu70L8wr/Q4WB13JfHmF5eq/y7RUdaMCdcK+PIrhoz/Pzjvq3G16W7wvvzs +BTMrdLTzNT1czZ3E+fxK6c9WEWi64POBDvCP3etHzq0m0IkjS6xTHjAP4jIN +1TUEyh1zmeU6AfH8gTPjN7g8VLQnD7y2cf2q0rUEGpTZWqt9Evpj48BJ73UE +GueJKPsIdhFyG5BjI1DsTqXiAE8Sb58pPDoObuhQKhE4Bf0yo3igkJ1ArZNR +VSXgD/tPe3pwEGh3kVKboReJqdqzq6Q5CVQqoTL2A/y0alfmMHijfzwR6Q3z +1b+9Wne5CHS3WktD7DTMd7oCP524CVTJd/DMC/DPpvuZm3kI1JlS9tD6DMRT +N4flIHjquN/sHNjmjiwzh0Igalqa7nUfEpv4bByyoxLo5CGhdHlfEk9FvH8s +TCNQ9P35P81grQ32CR/Baq/V7d3Owvxxrtwrk06go5W9revOkbitq/eIDUEg +6eJP+3LAz4Pe7icZBOKt3Neg4UfirntJOr3gF6sETT6An2XL6qbxEoj71oHB +c/6wv3fSDSz5CLRc8j2ILwD68+9+G0F+AhG2oxsfgYnOWZ8ucFWlVcPBQOjX +Ud+vJwkQqPaXUtAPsOyhR5VmggRCLH+1yCDoD6fNR3nXw/vYbF0UC4b7hnyn +WAf4bvuBuhqwz38KjolCBGq/9SHd9jzk45UT9w4xCdQ49MFvAXzgWcQfOgnP +rz14NCUE5s/4MONW8D8rRQPlUJjvzI4WJ7AIdPBtjHYbmM14o4DRBgIFIEvk +GUZilbrai9SNBLrckb6P+wKJlZcMFlvAv+4etswHh6hX+18Whv38Eu21J5zE +e2sEVwxECLQ+R/XqAPhMj1U8jyiB0ihHK0IuQr7UR21uBhN6q0ZZl0gs15VT +G7uJQPPeouIVYIb+PdcDYgQaefTC1SKCxN6uWQLcmwm0KN1f+hv8OCCiuRFs +tSqQPTES5pM625iYLQQ6duSGo1wU9O8UCeP94gSqt9hV3ww2Uvi6gUuCQCGi +Diru0RBfH1OmG8BxH3jus8eQ+N1XrbZoSQIZ3d8tlQvOTPxSri9FIL/ymWLt +WDivrYF3OKUhvjepan4GMxeoNxrAhwVWuoLjSJy872ZK9FYCBT4xO0deJrGi +nXSmvgzEr4yKyDNwWmzZPc5tBGrOyGk7HA/nxadR0wDukr0Z+xussqe+P1qW +QKu5pAwTE2A9rmZr9ssRqM1cV0j+CvTPxkF5LnkCTWz/NdoCTi4759wIPv1R +vsHjKsy/p4k7MQoEivJYW8SZSGKpQyUj+xUJdJHzZPpdcG26tRq3EoE0v3hc +3XMN4ukm9XITOJpcfWUQrJPX/CNWmUApX+RTwq7DvPUv2dhAhUAVNn/yhJMg +Hmc9q3lUCfSo3OZFFdj8vblyC9hSyOazdTKJD84YlFxWI9CzonnOBfDnFHN1 +Q3UC7c9W2pWaQuJJqvcb6nYCZZHUc6qpUD8KsmzeggP2RVe8A/8s+7qQsINA +DNM8tjNpME+FomzjnQTKdna2Jm6Q2Nr6sRGxC+pNUePTYvDaJG22dvAui3cb +DdNhXg368SpxN4E2xV28PAoutCuKNdWA7/v3rY3NgPpzLcGKT5NAtwz6L0pl +Qj47JCh0guMUoij14AjRYnqyFoFCzT/edL4J8S88OXcYEejN18/q625Bfhaa +fhfUhvpDu/rhNliE/PCxBxy5ajJCOwv6WWXkxzQd+Hx4eccX8MFBq29WugTq +na6eC8km8ZPP5rPkHtj/QwpVG3OgPrIFUPvBJXIWsVVgekG97M29sP5qBQeb +2yQ+t17H4pgexMfWWrQIflXwI1JkH4EM8jmlb9yB+HlYU/MFrODISW7PhXp/ +/s2q2/oEcoir5esBb3Vb2n98P+SzmarguTwSW75yzthyAOrJT6dNAndhHh5a +M/sNPBFmovoY/I7VZZFvQCAX/SUTs3y4r7/6iN0OQv047eI3DfaVFVbeakig +eLnEvMQCEu96lFo0CjZ/dL5f4R6Jg3IMFIqMCKQoLbuhDWxquavylDGBNJqz +nbzuw/1Iws1I4RD0k4becloh3F9d3/2YAv8x76UXgy29Q+LLTCB/b2efMXxA +4h2pHjvOmhJo61eFT2PgZeUb42pmUO8N40wvF8G8c4vn/h+wNV9Jq0wx1MNt +r049N4d4dLtzuBlcu712V/BhAnFcOP7V4yGJZUgOhqYF1LvE6SDuR5A/0ikT +K+ChVpMN98FVNV6dtZYESvUKf7O/hMQBqskvLx6B/bwb4fcD3DbEUbHXikDV +92yVYkqhH4o3PuWwJtC+h5xzUmVwvzX78KIRzDMe+7IBnN+w+22cDfS/G19T +3R7DfeHT1DdDW6gXPwXPcZbDfv9aZCOOQr8W3Hy0AKxqZSXXAVa24DbUf0Li +3T40u6RjcH6f/9s7AhbKYKVZ2BHozo9T+6KfkviBTHivkD3kS9GEidQzmM/C +dTf3gS87GDk3gO0X7M/edID90bpywa0C+t9EX6udI8RjSOldzufQ72rKlcSO +Qz09UtFZAJ6qm7z5FVzFnsezvxLqlVMcI9+JQLq15wx+gAd/x8S7O8P7vpRP +iqmCeblzjLHNhUD+uu3fpKuh/juV35oA94fYoiaw8epvyiWuBPpU3HHH4wXk +H/f5dh83Ai1QVQmeGhLPfQzxU3OH8+m5FFEI3t83Kr4Apu99tfYg/v/8/Ka/ +0oNA4denYsfAi52UzJATBPq5TLDiayGfrrw6rn2SQEJY7LHsSziPmZ/K6zwJ +pC8oZfEWrHT8EqUe3LlbbLXXKxKPaSSOx5wikKk3bzn9Ncwb33h7DnpB/xxf +OP0I3FbB3Uj3hvOb7lU3eUPiGuHAVx3giedl7NPgAV/HuuTTBBqOiP50rY7E +X4TftB85A/U60apGuR7mpdA731g+BPIkpe51guUW/q3+DE60n80420Di9on3 +Erd9CbT39stUwUYSC79RMnc+C/snnJj5FPz1IzVW6hyBzvI73j/SROLwWyca +RsH3XqnVLoBl3Q3pD/0IRDtJDKQ3w3ye+/jYGX+oX4a/uHa3wP3o8e0nqgEE +OlfQs+sjWOqf0PoF8Onq+nMh/5GY87tQWFUggSz+q30u8hbi692dqdAgyFdm +PUctWGRr5QndYIj3wfdHHVthPjCxn2A/D/vj8adqbRvMNw+TAprAfb8lxPPA +WYVW1IQQArGwc4peO9SvB4/umYQS6DfjCTEC/rQ+w0ggjEDkNmZSTAfMw5bk +0nuws8lVUZl3MD93yJdmXoB69GbDkxZw6mS/t304PK+5xvxUJ1ho8/YtF6F/ +3g1confBvPZkLecIWDzTqKgEPKAQ9qXwEsxfk7tdzbohv6dv1HpFEGjDd72t +s+APjqaFypEQX68951J6SExO3L85D658W9q8/T2Jo5dy0yqjoF8arL//AWy9 +oJ0ZGg2/H5aZGNwL9cnoYoFuDPSDUt1w4Q8k1nDzqOaIhX4iRQvGYKtHfz40 +gy9KL4c49kE8XZdffTUO3u8vI25dP8w/QYSC+WUCxXwzzL4LluvJdBWKh3om +X/pC/yPM44zu/H7wexH0/Se4JKX6V3YCzA8rfwTjP0E+vjPXcb5CIEnBT4fk +P5P4iPrNTOmr0E8f/LreDraXTVsZBztzK33x+QL7vXnfidJE6JcBd1QFB0jc +FFP4+dw12H9dvaRn4LGWOttd1wm04xFryXoQ5hub9MEV8DC3uOcyGOVJnn6d +RKDNN48PZw3B+TO9OWOSCSRc8t5D5yvM95JnCwxTCHQ9MWL+K/iLxnYT3lQC +2cSciI/6RmKx1udresBRQ3Hbtn6H/dv/ryojDfrj6HBnCzhTeF2Y/Q3I1/Gw +SK9hqAf4PwPxdAIpqRzR5h2BfLtpK/oTvJbqxVYOPr61dLk4A+LzdV2H5Q+Y +T3pah3wyCXTmrv29RTBr/dOO7TcJ9H2VZszNnyT2sHFvWgb3iNqfQaOwX0Ij +TS9vEYjNvMFpCPymRqUzKotAxiN+9pFjMC+8OfT9YDaBPst4O0uPkzgpU2M1 +bw6BzDxLfVrAPhVLW3rAhn+14rwmoF9cvWKSeZtAX7aQD3gnSXwlZT7S4Q6B +ju/Q6S4HO2qqvZHIJVBYdAWX1S+4n64cpIyBOR0v6C2Bu4w0bEvy4DwEMy5n +TZH4Tg5n+bm7cJ6zHP060zDPeD4S3J0P/f1Qo8p38JiU2oXVBQRa5/8lJeY3 +icsMMmbqwGPVRmtkZ6DfGgx4X74H/dhHwK8N3JzFNWdyH+L7p+qszyzUjxqB +S+sLYd45WxK8fg7q8WYO1kfwY5cYaiW4Xffz89sPYL4javKPzZO4NTXruFsR +gRLqzAzW/IH5Om2/gFwxgYr69P/kgV3wp9bf4Mt3sor3L5C4I9L+esVDyK8z +VqfGwc4ubXahjwjklOGnnrgI89t7edW9JdBvff5yqf6FeLYM4+Mphecf+v7t +PVjT7tViG5g/ckdz8BLcD9wWf6aUQT90n6sQXSaxwqTEV9vHBHpuIlz6Glx6 +6sB3sXICqV4vLXP7B/3muMvUCPjhpccvKCskPqQfzPbwCYGSg8XfPQKrp8eL +nX0K+9POPmW+ioVfdWXo73pGoLoPVkIL4K3+BX6rK6B+Torsv7maheX+PX5Y +D/Zwtb6ovYaF2b6//BX/HPpvOnf9N3DIg3c7zSsJdOGLIn/sWhaWbh+JJ6sI +5HWt3UNuHQsrta/9+QXcwzna1AGel5Ewzq+GfpUZquLHxsIH7E2qPV8QaFXB +1XwWOwvbTUSqqNTAffiiyBYM/m3e8HgR/DNG9r4TBwsH8K/XrMVQ7wWqdnBx +svBwkW9bVC3kX2hLRxG4IHvwhNFL6Mdb7M+acrGw6ilHQuAVgeyO+W+aB6el +zVb3gffHCPZkcLPwp6ybvrdfQ31YtTsF8bCwCoetivsb6E+iP499A2cdUlqW +r4P43yumGEthYcN/m1rnwLHN3yjyVBYOvLbtfnU9gSiE2vQ7cFqiWcKlBrgf +e/MP+NNYeGNIWpBBI/TX/eG9G+nwPn1Lp3mb4D61ENb3EtwlH366F6z/iTHs +SrDw82XpwOxmAqVbqC1RGCx8v2k2zrUFzh9PkqXgq+TwXbn/4P2CtXQteVnY +y2elaRa8NCxxdgl82Ab9qXpLoCvH8x/l8LHwCctCuUutcF80ejmrx8/CjEnt +UwZt8HvcAXvGwD/y2Z7ythNoy1xLZqIACz/h+sP5AazmU/NPTZCFc9JJp5wO +ApUPmnj0g5cGTzW4vYN5JS/i84X1LNzkMaeq0EmgfGHbY5JCLDxWUfpgHlxT +3P29BUyzyttW00Wg4mdz/meYEC9treWR3ZCvt6r5hUgWVr6nrG/UA/P1623P +q8GnTnUMCbyH+nF5r/txFgs7FBRFfwR7WHOJcW1gYTRQp5bXC/PjtYCvxeDO +OyITJz/A/Jya+sh8I8RnUEWxSh/MS21OkYtgn6lk/yXwvqxB52xhFha6/sTg +dT/ctz14jfVEWNh4dIPU5Y8E8k2d1R4Dx0c0Uc0/wXwVF695TZSF5X/hJdZn +yM8HfXu2b2LhofLVs0NgqsOA+Sewo1PCXOEXqO/07FOXxFi4JNptte8Agf4T +Zl7bupmFjUoSBXYPwn1+zrCmDTzrwaO8bgjmpyWtuXNbWDhmb49VC1g045fa +RnEW7nk7F5P0Fe4/2x0uvALLpJx4ZfuNQNs1r3e5S7DwX2l1dvHvBLLnj1Ym +JFn4OmljOg4W26Kd8QScNf8+v3yYQOw9NZSjUiz81KSUPWQE8j+FLXqtNAvb +Ph85pfeDQB0tfNT7YBF8/gvtJ9TTr6MZh7bCfs+dsekBt+tdUZkHr4w3fs4a +JZCM/Ur3TRkWrtp+ydNtDOI7Q+Pinm2QD+531imOwzxw3GDHKPgsr3TeAvjf +lq0LibIsrFgnaPxyAvbDoO/ldjkWjhQ6tSZuEvJpj33KZ3B5pkKN2S/Ip6Dn +PpHyLFz53S5iwxSB/I6NWssqsLBC3LL5N3C49YxBJ7hFmEeueJpAwR+79YIU +WZhdNZbw+02gU4eTDMSUWJjLOXhJa4ZAhQpy1o1gX92hKc5Z2I9PeWe8laE+ +uOBf7WC3lqWk9SosLOEksJA+B/t7QqX2BXi0Y4jbaR767VajeWdVFj53QFZC +9g/cD/wN1KlqLHza4feBOfC6BtkLj8HxD9UDahagn0bPddqos3Bfy99H0YsQ +j9L5Smu3s3Ctifa0yV/IP2Ht9PvgV91cGqwliJf3b3hMd7Bw4YxF4ldwToNa +1AJ4556tk0XLUM8ckik5O2G/7SMs/P7B/UpgCAo15MeQez1agXy33KT6Cxzu +3KvNvYqBMjNM3qfuZmH9i11v3oHXmJ+N0NJg4c9ddmY3VzPQ8kz87mFwyWLA +T5c1DPR6OnM5QZOFP1wWj1NYy0Ava+80qGmxcJykk+oiuK77zs1PYOyq/uPV +Ogb6cPdWcCRMtW0/su/GszHQ9fxkZzltFhY3uO1pyc5A6UaxR7rBydIamps4 +4PcYIYdDdOD9N/kIjYIN3M7YSuiycEXH3qXHnAwk0eDm+Rbc+OHJjxAuBsop +cIw+t4eFme/rv+hzM9CmCw5FwntZ+IFH4AAvDwN5Nrr014HLFdpG+8HxCz4C +XnpQr5qbVu5S4H1iYo+s3wf18sOJjaepDPR3ujCvBrz93+M9u2gMJFzcu+Sq +z8LpPfln2egMFKQicIzYD8/n0HvUCv65Ytf4DNyvkDhzg2Ag69hKTYcDLLx6 +JlbHicFA0kbSL7gMWJjyWyVdjpeBlt7c31cKDuy4+vcP+NdJ7T7rgyz8Wjnb +5RUfAxm+mPBfa8jCNRVOffH8DFSm+lj0AVib+4vVEQEGMjW+3mFuxMLe9XyD +YoIMZB8Vn7AMLk9e7TsOjrPONb9rDCYL6c/Ww/r29m4xPsTC/n8Z5eFCDFRf +J7syD/buV3cyZDLQR+s7Q9kmYCfhjUIkA9HDdnXsN2XhlO31nwfBA4/nm6bB ++atUHhSxGOi3X+9/GWbQfx1dwv03MJC6/uCHPeYsTLLZO+puZCDFPL7pcTBf +othBmjADnaF58aUeZuGRoodavWDedXOayAL2Zx2XRq4IA9mx3/f9ARbZpbDH +S5SBRFMuP75mycIbliUO79zEQM4qWf92HYH1/57wYhNjoHOOQ6bfwHb1MUlt +YMnb1iUJVhBPmxdeZmxmoLCz7OR2axYOfaT512ULA/UdG7k8AF5i2WooicP7 +DazmjrOB9dHNYpbBYqHmiSq2UD9VxT83SDDQpaoBsU9g5V2dmkmSDDS7ofBF +1FEWTv3PocBOioFubCl1UjzGwn9SW1ky0gz01fIPfx9YbJ/IjTnwlV2hrZfs +WHgyxlT05VYG6jDXT5KzZ2FrnhMl8TIMtFX68PH34Kxgj4NW2xjoqGb+7nAH +6O8xplNbZBkogUSi2xxZWHBoS/YvsOWeTbRucIva0JEqOXi+zkH2sOOwPtUr +rGh5BjLJfMm51Qk+v7x1xEwB4qM3QqATbDn55IWIIgM5XkjdFuLMwtsoalmj +4KINC4ZSLixsn3wv5qkSA00rPwjoAPPu4gu5qMxAxKHSh8GuML898g02VmGg +vYuUXxJuUO/utl5iqTKQQlX1znbwjVbx1GHwqEjdlSB3Fo7+7F9WpsZAzx9K +Top7sLBNdFNvqDoDqc0NHWkDi4Rs4D64HfIvZKkl8ATsx1nvPUI7GIi/84yB ++EmY7zY1RH8Fnw/X72wFN6qL9zzayUA9AqGugZ6w/ydj5M/vgvWTQmzip1iY +49xc4v7dDPRko0BRK7iA69Q/AQ1Y/wM/u0AvFl7un/IdBBuaaW8Q92bhjvyL +s8WaDLQvx2eoFZwkIh4WpMVAfFuI8sDTLKy53MOvjxjIxUMoUfwM9LP5m2X8 +2hCvaxP82sDb6/xtB8DHz59xC/KBeBfzoBfrQH651R+X8IXvv/JpCdRloGeH +E9zbwTFOqdf37WEgRmdDQPBZFiZedDvx72WgO77+SZLnWHhtrDIaACc23Kro +ADeFPxQv1mOgHQ4aP877sTD/8YMCQfsYSK/t8GZpfxbe/J2Hrq/PQIv5P1w7 +wdsaJnkF9jNQVeDik9AAFjZ5uSA6CD7bF0PIBEL9uC6z4+EBBpI9esO3G9wy +H2kTbMBAD65vHboQBPW5kBq9/yD8Pa+WrWwwxOOJ2heChgyUfer95/fgbXN3 +VobAm3b/8bx0noWduJ8eKDFioI1ENrtCCAvnOS9lhRgz0Epo+70+8MH6sysG +hxjId1OCZVQoC/8c3+LONGGgh7E9dOUwFvZI5/n4HUw3fdjxCXwlTsbmsSkD +udLWZ8degPwLjxy6YAbxaEH4q4XDPIaEzxmbw3m9yrQeBPNHzPBuPAzxNFq9 +L+Ei5C8fz/OfYIrrWa2dl1g488HxE88sGMi/9bX2d3Ab3yrJSEsGiqouMroW +Af2De3DM7AgDXWhSdNGMhP58mKd6kxUD7bpqGv0T3PjkfOok+F0BozwlioXr +fu8MrrZmoIJi7zGdaBbe07rnRJwN9Ivdp+UmwYm0m05WtgykM/E/iss7nqr/ +j+MhI6vuPedKnHvRRGVTKH3IbFEZoYwkklWRFbKzSxQlirIaGipF+SSyo5L5 +TVa2yF7l9/79+Xxwz/mcz/v9fr1eb9LvdiT4pZeO45YT4IdWJ77qRcE+UL/n +4jSwtPQBpSngnLbYuI9WNDQw0n33bjTcv438s2vWNFSwd4PwwRhR3Cu5rcPa +hoYCagRvzQN7zQUyZGxpqE8ie3NWrCg2SJYxWwLO6x19dyROFLM3qGZWnwR9 +ftZrvQxs5ZA5n2xHQ8aSsfyP4qHeW1wsHE7RUFPfwMdjV8E/WpPLle2hP2Pm +wzivwfzqSKqvPE1Dd97gI8+BE3cwi74CFwogaesEUZzg7aNzzwH8RcqHn/+6 +KB7/ptHm5khDpx67zBcCqxBuPhpnaEhUXeyPfaIo1uLg3yDgREN/LsRP0pPg ++93WNrcDj8yXrMDAFzZcT8o7C/3s9lzY5Qb4zchlKx9nyAcXHdVFbsJ93+yW +13eB73vR41gBzDXxZvVaVxoSqdp0zyMZ9KOaZ+4XsLylXK9EiiieGW0YKnCj +IS5BToV6YO2t5ECIO/hB+IOoS7fgfo40jh05B/3tSPyWui2K++QJ9vXn4f8t +jY43A7ekfGX9Aa5ht/oemiqK5y1IXXyBhjZwaZgr3BHFuTptXvEekC/4Jvp/ +AldKby6w8qQhybd+QbFpoliifX5h+0Xo18L/Nqmnw3xLmx34C/wxX+j7AHDE +4J6cWi/IN7pb42/chbww/FIw1ZuGWjdRxtr3RHEXR1HgWR8aujAztGECGHMe +XlTzpaFI25R/6RmQ98t8gnj9aOjlGqneg5mieEFoB70NuO3x7cZFYL/PUY9z +L0Ge6pmoz70P/VF68aiPPw25H5drMnsA/l2xxGEQAPnuo0k/Zxb0awGrRDiQ +hl6XneIoAN5i3RE6APyAz1r6ZDbsR2m7TQov09Bzbd3ja3JE8TEDDbkrQTA/ +FJXyHvj0zm7GsWDwF9Td6ZwL+77WVi7JEMgbJ24piuZB/kOibHPAPOt1r1UB +t/EVcFWG0tCmXf3zXg/BL/1nhZLDQN8tAl02PwK9ceuXdwyHfLVtzUgjcFRR +mNnOCMgLNrc9Qx6L4u5djRE8VyC/Za/nVXgC/VPXWNoCrPEsO7cTeEY/kic3 +koa8ZLYZx+fD+6Inj/lEgd43PFul8VQUO55nFBhE0xCvvlr1CHB98/g6kRga +CtOrSLr9TBQ7346IGgLmCLJw3vcc9rWUds6iWOif7OmD88Ae+b+jo+NgXp1v +qeW8gP4rLqWOx9NQRtg+BbMCUWyfbl647SoNGTzgVuZ6Cfv6jpdWf4G5Ln/T +egncfbJ59edrNORYnW956hXUg6O0Ji2BhpJV0wKJ11D/uYsJbtdp6Ffw3Sel +wCob5+xQIg2tPV44cK4Q9hEHPURLgvP69W+XeCOK/TNOb+kGLr8pG9AAzPfW +bN2LG6BXDgmtgW9FcWkcJRR6E/Q5k4Zki0TxCs7XTJNkGrrClv+sA7j3n6Tc +5hSon7qzTFyxKFaw9Tg4C8y1av+r3e9A39fc9qy8BX674aDBKHDleFpOym3I +Rzoe/anvYf8fCOpzSqWh2s2lVw+UiOLQdh3ZXXdoiC1kp84SMO+zkWCBNBq6 +SbaufIRBvwy9uzqAr954UG/5AfLunaF9T9NpyKos/QFfKewfwTolQXdpSNCi +KrwIWLw/SuPoPRr6Tmy8cPajKE57Vly5MQPyy5NnTqJlsJ/U/XdiBvhP3wWX +GuBe8dG/FfCtPH7Ofn7lsO/cHMtJuQ/3K3kncesn2CdE+qzOPqChscfcb9qB +669/FdudRUNTVY8HoisgT4y9GhbMhn1F/dqGXZWi2G1tUmkn8GzpizMjwN7z +rvef59BQttjaotQq0MtA3WuhuTS0i/5u7cFqUbz2JjPSNA/62TI78C9wxfaZ +aMmHNNRY3DzxuAbygNzXlAXgplnDc1a1otgl9sXz2kc0lPuZtihYJ4ozFFKb +0h5DvucQu1oC3CEYx3nuCdTfwkfO/TPs67ToPXvz4fuS1v8nXg/9uDUplPGU +hoy8qetfgE/tf9LYD6xR6WgS3ADnOdki+/YZ1Ndg1QbFL+C/towbMc+hX/Hy +Yg8wS82B2/oFDcVMHuxM/CqKyzvqQ+QLIN/kTNfrfIN6aB7mW/kS9Oj+XPUM +cLjx6J0mYMP8Y1+yGyG/82Wp576CfSV+bc+x76Bvlv69fq+hXwR2rOBtEsWM +HZ7JhwppaH68ULIIuPx6vJnEG/BLtvTjzs3gj/afJaaAWauGbzNb4HszFWc/ +vaUhtYa0vs/AH7U+NKcUgX6KF++63Ar1UPP56FwM+0aZdpp8G+Szyyfe7nkH +8xahxtcD7MLvXkx/D/VRSA9JbIfzNj2v+gWcnODBrfsf+FXTlu7CEhrqP198 +YxY4hOsLZwymoap0b/ncH9CfVk+VrD+Af/7Ka7bogH2jpcJVoZSGfOkmkfw/ +RfETl3UFnB9paOWkt+57YFGR7JWtwB4mwqvdO2E+ms/bPCqjIX0e5R6JLsjv +GQEVgeWQ19saSr8Bt16sVT36iYbqb40+DusWxfuNrF5vroB5WBd7f0cPPH+r +CloAvr/5WdYgsAK3aWNdJXxPgmXB7V5RLNVZcuFeFeirTFzdwV/Q/wWeLM9q +Guqs2TexDHwhxKdRvwb0edf19c/7RPHe/XVJVC0NlRw5Y3WqXxQfF7hwchz4 +RNfnB0ID8H2VzmpldTSUXlQ+Vwks5F/MTP5MQwIvDc38BmFf2XaK37ke7v+e +64ftQ6L4W6s9F2qgoaOmG3d0AsuFfuQjv0C/Zp8vTBiGPC0bSA0Abz9rqaMz +AvvWz1s7i7/C7y92/pgFNr0hbHP1G+TNuxzBeaPgJ8cWEk41gp6VfJI/8VsU +P5XS+rLzOw1l5W0dXT0Ger16QkSgCfxKVamgFHi3IL97F/AF7e5wz3FRLLwt +oeFlM/hp5g57yT+iuMctfFdUCw1tllMxbAd+9XPohVUr5JWPP7XjJsDfgz+o +KLZBft2hoqs5Cd9vy1/O3U5D2F796BSwVnCd1X/Af6X+nM2eEsXyY1wrn/0H +ed7K/KrFNOTnp28Lwn5AfTs9scAMnKdhyN2ig4aoKP0lDFx5LGWn7E8a+r3z +216PWej3o5V8Kzshv1StvbllDvblWp+hFuCWdcIzbcAln/MbH3fBvsbdZBM3 +L4pf2ztXB3fD/ut+tFlzAfJG2rMasx4a6lBMMJ8G/hMW1LKtF+ZfPrE/ZxH0 +SqpjnO0XDfnpWQYdXxLF6jeryGZgW7PBzWv+gj//p6P9qA/8UhO1fASO5jEJ +DOqHfNBnm+T1TxQf2TpfbjoA/SlpZLV1WRQrGysJbxuE/DPAr/gTOO86z0W2 +IZgv3lvE9RUUdlvw+tkE/NJtflmXjcJ6KaHGj4ahn5a2zS0AM4LlvgeN0NDW +RJWlJ+wUbqr0tzUbhX1RVJjfjoPCQf6u89t+w7508duWtSsp3FOw8g77GPhV +lJNhDfDnYK0DLcASGj+DAzkpvHlRivvJOOj9RcVSRS4K18m/qwv5Q0NI5IzA +AHDb7n/p5hOwT6wJPpXKTeFrimP+spM0tEPzcoURD4X7JBMcOKeg/6/bq3Cu +ovAT5cHj7cBV44rP3gDfdJ858WyahqQ0R3e48lLYfbzIKWKGhhRcr1ev56Ow +72f1kBOzoGe2kmeagTk2eGcrzkH9uZ4QMfwU3s19oXnVPLxPd3M1EqCwbaIM +0QnMK3A9Zhr40a9HFq8WoL66MxZ5ghSeJMcfxyzC7zsOK1uvpvDvXQv8dks0 +5PohW5RcA8/3rfNS/Qv7y495gSrguwNnf6/+B/sXax9/AI3Cfveb3fuAt3jc +ElKkU3h9DX25eJmGNGtHtg0At/qKpVxfQUc/GXsN7xAUHmxY1nBioyM/lO5/ +hITnj7wcR+x0NKHOUcjNoPCRkb1P1nLQUe2c+79i4NvjD71+A/9xGDI6L0Rh +5rrxA+Ur6SjO91z+lrUU5o6gy6Ry0tHz9TwiP4DFLBmiF7jo6MaRp1cThCms +/HqB2MdNR0tLZwn9dRQufVcmLMFDR3sZuzP+Apdc9ZSaA94cv2n3CxG4b+PV +uvWr6KjdakuvoyiF8dZE1yxeOqL7aN9kURSeUufK9OcD/hZg2ghcn+PQY8xP +R0EnWySimBRuvvlWdpsAHZ1nHp3fw6JwjQzbFQ5BON/C+H/TwCWJu0fagI/+ +eVH7UIzCt8bOHX++mo5+zd2ptBWncO/puy2Ra+jIZ9WzhrUSFNbYUGNjS6Oj +T6JjvXXAofunpnbS6eirpAVn6HoKm/OyktYQdMQrPSWvtoHCplf2aQ4AP1pX +4jQOnD7mN19C0hFzojg/ayOFvc4UvLvJoKPTT8ZWnNhEYY/1M7FuQnRE7TO3 +IjZT2Ftnr5PeWjqS/7BYUQW8avnOETFhOtq4pnX35S0wD748erPAHYqTJSqS +FLbvC9WrX0dHs1IHDo0CH3BjGGeL0JHV+K+BTCmYl73FzoGidOQQVhpvIU3h ++Gt+18woOpIZ6NGibaWweKRJqSyTjjYIH2CvBN5qfmCZm0VHLMbfuoBtFH6p +cFK/Ezj859wD5e0UltJNuVMoRkee3ppRI8ClZZP/rorTEepq8c2UobBu5wXn +MxJ09E70g5eFLPy9WrRPcz0dBUsvXabJUXj49ehZkQ105LQm5kYl8FLr8N8J +4OqG84WB8hTecFo4tWYjHRW4Pe9TUaBwwlVP3fub6CjszwGJ38CGsZx/L22m +IzFLbccHihTuT6guMdlCR+PPbhUdV6KwZvOnOBlJOppZPCxKKlP44tWlM9xS +dJSyxzmiBlhgxuVwJ/DjkOHlYBWo9x6mzhtpqGf9l1C1HRT++IBfJ2ErHf23 +VUJoAljNRuPw2W10pHS3/UXuTgpb5hac0d5OR1PKHFa2qhROfnsujikD/TKT +Qq5To/DPz14lM8BFw/eaG4DzxKqW6mXpSEGcmX1FncIpgw66uXJ0NJYmEIJ2 +UTjM0TQ1WJ6OXC94np0Dbmi58c9SgY6u5praPN1NYR+vrS7KinS0+tALW0cN +Cs8FCQ0IKtFRvUusm/geCp/eYeE2AOwo1B/ZAhz8fY69VJmOWk1Kn15FMP+3 +pzJuq8D9qkn06mtS+G+1oaHnDjoyauTcyKYF+niPn8dwJx0Ny593fwN87uT2 +OklVOmqzc6w6txf07FBBGrsaHb3wHZKR1qYwmZV56T/ghIiFu93A3x//Pf1K +nY52pt4Su61D4aqcshNXd9HRh+ravKO6FF7ZumDjtJuOJjdd1+LXo7BJaIa7 +tgYdDeCxvjLgLWPvYlh7QE/ye2/661O408rw5RwwN5eHiYoB9Juw+dBXREcS +reliY8C/Tv7Y+liTjjQ1nGay94H+h3X4RGjR0db931tt9lN4usKq0XYv6ItQ +T9W6AxSeOWejvkubjsxfJX36Chxf++uJkA6cR2usPvoghRXF/8j8Af737c8v +7UMwr69Di2p04b6C0nn+Acv+yDDO0oP+tV/Y8doQ/KL94MJlfTq6nbzSw90I ++ulvxCNLAzqiKeNiqcPgb/FHz6rsg/sxkaX3ALv9fK5C209HKgxjj9QjFOZU +zREcAU6Jl+sxOQr+OKQ8+ekAHVV2frJabUzhFk2r3nsH6ejZpnX9lcCScRu6 +Lx2CefOTuhRsAu8XuzJiZkhHeHmeucsU9EQnjkPRiI4Ev8TUTgMTRju3CB6G ++RXsjcg3+/+8XzEbBD7QxGZ05hiFwy2CEsuOwPcYDGzcYE5h438bO9KP0pHq +lRSuH8CK9Z5Kfsagny/WTt+wAD2QuHjT1ISO0kdOjRtZUviOniS3ginopUnI +HO9xCsvdjAsRMKOjLpqnQDnwIfuH/IPAqXt3yQaeoLAgT1BG2TE66hNsP6Fq +ReGR7zSdu+Z0NHLzaMok8K2NNlN+FnTkxZHT9diawi4HXJ+aWdJRycU2FUcb +Cls/0PBRPA73s3Y0eb0t6EXEt0OrT9DREH839w9gn0Oy8sPAK/2LQm6ehH48 +bCxeYUVH+fF+/EfsQG+GtalMa5hX540Z/KcozPLm2BRoQ0emuwu1K4CNjySo +WdrCfEmrTgXZU7isafL4jpMwX8dzn+46TeF7ttIxhB0d1S3z+s4Cnz+8s3IM +uHC3jdFzBwo7sYvTak/RkajWQ0UXR3heY8/pHHs6Kt/5e4PkGfCzTeFVoaf/ +P79bJXqAFU1Xqdo6gJ7nn9qa5kRh/k9uL3c7gn9FpmqZn4X+bSrSEDlDR1p8 +30+TzhQ+NTjWOAPMabcmuR74tI2g9zcnOhLCRk1RLhR+e2ed5NOzdLTrSLKE +rivozUryV4wzHb01GPRhc6Pwj/nlJ2dcYL6adX4WAxd0/gzTdaUjue1PD3u7 +g96KvTqzwY2Ooi5Jf1E8B39fF2axwp2O9s+9OjEGzLPT8NgP4OhvZrN558Hv +OoXs3p6DedFcnXb6AoWf+XT43jwP9fX6eXi9B8ync066xwU6ks6rpncA80h4 +fTnsASz4rTPFE/IQ28E1sp7gD60LRSYX4X4ubjvOf5GOkvdq36d5gf8Nr305 +CFwR/CylDphRQxOt8IJ++6ydGukN/nKZirvvDf5ls+KRjg+FN3qrCQb7gD+4 +9VWy+VI4W8z1trUv+JHK/MQ74MTeN8q7/eho9281aV8/0C8l8R8il8Bvvz52 +VblE4dX+mdfmgMcpYzwB3Cije7TJn44O8sqJ5fuDP77lXV8QAHrctDf6bACF +k+Im/14LBL1/f22lZCCF55kc/W6X6ch9WTS6F1imVf3HwSC4v+Ze1r3LoKeK +dzu3BkN+CP1dciKIwu/SFf6sCqGj37rqriLBUK9r04IDwOYn6qSagT0uDat+ +CqWjQJ7sieshFKY1CZ2/H0ZHIpHVlUahMN+k7+vgcDrKEVd7JBBGYemHa3lt +I6D/aHOp1cBFxMSZPVfoaNsdrtsR4TCPZXzNzEg6+svtmKUdQWE2ZYfDS8Ca +SawStisUlu/gam2LAv+J3PbrPXCa6qjLm2hgqUThS5EUdsDUmuQYOnry1sxc +NQr8cPRmycVYOgoN8cmeAZZSt71kEgfzW73IXhBN4cDNfrpK8dAPTZ1nz8VQ +eEh6gElcpaPIcelumVgKa5XnsU8Ab7D5z34E2MKjfKrhGh1dcZ2dyY2D3xeo +TeUn0JGbfUCSQzzMM6cAW/x1qHf8Bc1NV6GfBjREXRPpKFaldaEbuKjtq9bB +JDrqz3r24e410CvrGq9tN+D325aTrBIo3D0t/ZbvJtwXUeZFXadwpMTUqmHg +zlx2hzbgu6ekHKqTQe93vbNLTqTwYa26L7kp4M8iMy6mSRRe1ug2iLxFR5bX +88PIG+CfHU71jrehPtPDeV+B+7LPnNRPpaMv1x7/uHoT/Eisi13yDuhN4QzT +MBn0t+bbU+40+P/iqrMCKdAfStrO/cB6vyUraoCPdyopV6RDP94Tkou6RWEV +8xy+7Lswn5JJWfq3KZy55d5Y+D062tOcJc2dCnnwu0TX6Qw6GmQ/VFwO/GBk +W6duJh1JrYi1DL0Dfj5XNrL5PszTxtM8e9OAQ0e4uB/QUfan9lK2dKgfK0um +H1h093gUBmY/PGVXkQV+8POBTeBd8IeHrVnZ2ZAfOJf3atyj8KaiY7MROeDH +q/4p/QWOW+Nh4pgL59d6oFicAf6jKvNBPw/0g292j18mhW0qItWkHtLRxZJp +c7X7FM7ZF/lh1SOo35vMoHngFGNZ0yHgAGOO14UPYJ/wDpirfgx5aVRowSuL +wp/0fHIePoG83N25b0c26IPZ+tMx+aAf8Xa5M8BFapfkXZ7CvnD0HuNVDoW/ +RUTyHnpGR/yxqfGeuRS+/vXAH5nndHQs1Wytch7k5WeVv1a/AH/uanw0Bfyy +eLl/HFi+WMio4CGFUfTU7JcCmP84MTaPRzAvBbmMFy8hnxf9KVF8TOHKLxKa +ia/oSPx+fMwksIK/ta/nazoKebR4+sUT6Bcj+w+mhXRks3On4YV8yId9ykI7 +38D8PdLTUXxKYc+2b97r3tLRDpdtBpPArGrNwQVg2a4BixfPKHzVKNjhvyI6 +uuwa6HvhOYUz+JIn3xXT0fZLE9mKL0BPb4XFpr+DfH9Ou2cSuPf2QeWg9/D8 +Qq9tBQUUVs+fGDpZQkd3X8eFeLyk8FMPryfamI7WtEUPKL2C/BPTEbj5A+wj +kecsp4Gjb0lb85TSkaS81n8vX8P5NawODAHv2rXi7MVC2N+Zl/RqP9LRqNAT +7h1vKKzdGm70pIyOVsgcej4LzCkc5HC1nI6afnc7Fb6F/OvvEnP+E7y/wlXe +pwj09+mhEuMK2Bc3T3GqFVM433TLih2VdERc8hxYANZbu3BoXRXk4R3TLUXv +IE/cqnq4CNxe6dl86T3wlWShjmo6Us6Y79ldQuEvUWficQ0d2SmH/PsH7L1v +j1BmLR39mCK3YExhxwvUw7A6yOtHn50I+gD6lc9xyPEz+OsniwytUtCvh7P/ +9tWDPmNimuMj7NfE4rvtDXTU8LrDpBy4PGlN9JovdCSw/n1ZeBnUt1Pt9CRw +oWeBpn459O/dS4ZNX2GfkCqrXfUJ9s/wFt033+jI+9WYfQ3w672HD6Q2gj5e +VxWIraDwQPigdeB3yM9q90sPVVLYgON+0MkmmMdNCuFrqqAeZ0Ke6TSD3n/+ +ZfYV2Mk1akyyBfLZ0w87EqvB78qK1PlboX56lZtMayjMJy5yYwyYa/WShHAt +7OMqOf++ttGRbZj1tjZgj3eOnq/aQb+2TGun1lF48azVQsp/dHTHo+Ss1Wfw +s7noWP8fcL9D+K54PYWLRadkbDvgPnmXerqBTWJTOrR/gp4fvaD8oIHC27kD +UyU7wT/1pJIcvoDf7s125O+iIxcHcQ7pr5DHlsi948C2KpaBI8CTo9VbG7uh +H3f8tyr/G+SRbzXrC3vgfkYfZJxrBH06KyKZ2gv38eOtgdJ3yLfn36hf/kVH ++rHM5Rngk9kPT5zqA30Maih90wT7T+VkrH4/zLNmU+KlZtCvG4m12wboaPGI +vOeeFtDbhqvraIN0xL6n1469FfxCbdhjGvht7B+bcmCB61kdrUN0pFNp6Xyl +jcLO6eWm74fp6IT3pvD97RS+KbH/R8YI5AXJw08E/4PzdqiejxiFfHaqq/cL +8NdbiQzn33T08VWLVNIPyEeUVYXRGPjVY1X/Yx0ULpRMiVAeh983cv0U/Unh +9xH6piJ/QP/fahn+BL61wk1xGTjz91hdRieFI46vFuudAL1ZXmN5uovC+05t +W1c1SUf3LuXMSHVTmLu7UuLJFPjfbOHdUeC0u/07r0+DXrDpmD/roXDt2Wgr +7xk66tlqKO7ZC/uF4OuEE7Ogv7xt0zt/UXiXmct3rTk6eig70LoEXEw82yw5 +D/old6kW90E/rgkLF1iAet5Lrgvtp/AHsZGpCeC3a9EP/QGY/9WD51oWIV9K +ey7yD0K/5wf8fbcE+66bmuQXYMlv+Tcz/0L+DkiwSxqiMHUgEEX+oyPyT+Bj +82EKZ42MzbouQ1615uRijUBeiVz53ngFgRZPbnLpBvaeLklQYyNQyo3u7qxR +Co9xbboozk4gp6Q9Dmd/U7jjuoojFweBdi5qLMiOQT3OzzqOAIed6rk9BWzi +5+T9dSWBYlxlD7wZB30NS7hRyEmgc6838QX8gTzgdP5jGheB3v+obNGaoHAs +u8ByKDeB2i6LvuSehLwjbW9wlodAf5D43VrgtiL/jMOrCFT7vjXl2hSFL143 +593JS6Dft/dlmE6DH8QuXmbxESjc1/ON6Azsv1dOc3HyE+jJ3+M/O4EdbO/c +GgbmqOIgs2Yp/HE2Y/dXAQI1XnY2OztHYdVtvmOFggQ6VZ2SKzcP+0LHpqfp +qwnksj+OdwZYdzwnMHwNgS7kHfAtWoB67+WycqERaCiuee7yIuSxIrTfmE6g +7Lvy4bpL8P/qlnrqBIG8rpxYz/+Xwv9lHzuyniRQ1tiJui/ARX3qzqsYBLp1 +WTni5j/Yd/7jThoHFunrMzyxDPvWuZLaZiECvazx2LJhBRM/i7EnStbC+350 +CQwCtwr9dcwSJhCukuPIZ2PiN7NX6mLXEWjl7lPcnuxMXCnCr+kpQqAtfQEi +6hxMLOIU+fG4KIHue4TsYlvJhHnkMNGmCOSe7OFSAZyuHjC9lUkgcXaTx7Gc +THzq5uJ9gkUgO7stS0e5mBh9DbBbBD7j+ttchJuJA9t45XvECMTX9OhTJ3Bm +eoZAjTiBGIfstbJ5mDiHZjD/XIJAC1EidS6rmPiyBNvUrfUE+qlZf1qJl4mr +P9T9Dd5AoHTJ8NWLwCt7nwmd3UggrhnNig98TNzm91Tj6Ca4b1vOuCv8TNzo +X+upvhn6Yf03O0MBJt7zk6d4wxYCXZ18rC8kyMRpiY40fkn4e0zyrh/A5km/ +PaeAHXOT9txfzcS8rXcG/5MiEP/KnMNn1zDxATMf53JpAk0d+3pegcbEf3hC +/z3eSqAHp9ZmzgMnDuD0G9ugn3p9ujGdibvGFIwCtxOo48aS3BWCiftFfqx2 +lCGQv1pGnCHJxOynSzuMZAk0F+eyKMRg4vbaX8WqcgSaN7b16gBOOLQvb708 +ga4fvMyeJcTE5wYnsvgUCJSvVpfqspaJO1O7n08Bz3Xs01UWZmKrM9TnH4oE +4v23+G8JON4wc+6TEvDxnk9l65jY28hX4akyPP8dR1qMCBN/d7/vl6JCoNRB +61BjUSaWerGxMXgHnP/Bgg9FQT1E/6k774TzFzYF9ALvzVd8YaJKoF/DMwmP +mEws6VmpukeNQBbcVq88WEx8+HxJvaQ6zGOj4OAuMSZ2yRf1pO8iUA6Lfyun +OPSHcqfUEjDz6bFLdcBV/Gt+/9oN5zOZ/S9Jgol37HnyoV4D+qNt6IDVeiYu +bn13/80eAlXyq9Ru3sDE072aNzMRgTyK2i3GgA+6706J1YT+fdkx93oj1C/i +RZ6XFoE0qzSzLm9i4hTV7BrbvQTqr+S2M9jMxFxJokv7tQmkHqYoS9/CxD15 +xC4VHQJZNlTwtgMXRSVEi+sSyNq/YjpTkomN9W4P8eoRqMtaedxZiolXTMiZ +TwNbHCAXlKWZuCPNtPmnPoGUhR2IZeBE29X21QYE8kuR21W5lYm7D1mxv9xH +IIHsCx7XtjGxo79ufvp+qL+wYrHFdia25qg5G3UA9OLTOWKjDBOrzv3e4XmQ +QGuiFHxHgX94vCRsDhHIYLf3+CtZJsbXJJb3GcJ8FulcvCzHxLfOqCwoGxFo +z887fPvkmVhLaHalxGGob1jIU0IB+uHlaTH+IzAPMfOnfgBH2l4xmAWebGCX +ylaE56tah3QfJdB2hYwldyV4vuXv2jpj0Nf4tp9qyjAvfTs3vzGBv1c/+bpS +BeZxQTP+vimBnpdKfP8MzFfIz3PVjEDalir9yTuY+LRW6lW/YwQavzjGY7eT +iUfeTko6mBNo17yh2nZVJp7RFvpyxAL64ZOF3yxwIid3pIYlgS6X0Ws/qDHx +gkSVkfRxAg20+G6LUYf6lFhLCp0gUNVQUqrpLibW5vq8mt0KuOs0JbGbiW8z +13L/Bo7OGn84DDwgoyHYZk0gh/Uq+19pMPGWk7qbPtkQ6NoetYXLe5j4WrfC +gee20L8Dy4X7EROX/McVknaSQLa8URFCmkwc51deFWVHoJtX2+27gBNGzol7 +nSLQsOPs0UdaTCxwYnWEnT2BmoI6D3vthfv9e/ev4WkCHahOsdbSZuKkRanQ +XQ4EUlPY7C+gw8T1kY9FpBwJFJV3Ja8FmK1V5gPjDIE+bCzrz9Rl4m2iz7zY +naB+19uV3PSAQ3dojAGjwS/X1PSZ2Ei/nPzvLIH+iuT94zRgYv7UE4uVzgQy +Yjr4fQGWf8kx8dIF+vsXH8+dfaA3NW/nMlwJFHD29n3H/TCfa8NXX3UjkPMD +4cNKB5hYut5Rxd+dQCPR4QIrDjIxIXPaxekcgVSFB1prgINcgwrMzkM9tdGr +m4eYWK7mHZ/OBQK95U3IsDOEebzMuqDgAf7t0JkmawT9V5s1JOYJ/Wsq83AR ++MOI+XmBiwS68j2gouIwE4eIqfMuAt/rbpy8foSJvR4cfD7gRaDpS4pyNkeZ +WOF9olOTN4E07t+5tM2YiS88JhTLfAi011yodQ7Yr6CO77kvzPuduzrlJkzc +IPRpKt0P+vnCntJrpvC8dSt+x14ikFvH9CErMyZ+yxY46+cPeaH707D0MfAn +UpfmFECgF6Evk2eBL906pn4sEOpZXWZSZs7En9rfeOpeJtC7otn11yxgviVc +sFIQgUatDq+wsmTiVy88RTcEE6imuHFU+vj//aMpnBZCoIKO0OFZYPWx6+wr +QglU+PnUfNkJ8Eu5p3G/gdmSvdYmWEH/jMts/REG+UAX61hbg3/5Ey014QRK +7NMM3WbDxDaStklvIwh0LHz56zzwBSRql3uFQOuVluQrbJl441odzeRIApkt +q91LPAnnW+6SjYgCv517L37Sjon9903LXIwm0HfZ6Keyp0A/DIM17GMIpFuY +YfQX+KhtjJVxLIGO3+dhq7FnYkazUPzeONAHbvwh+TQT7+be1KAQT6Di2ZqE +0w5MXGrwVmL9VQL9uyLroeTIxFvnWkNo1wh0+uuoPfsZ8O+zETMrEuB8w6sc +G4Dtl8t9xoHth8N905ygnoIpAp3XCSQ74nDH+Szkj2mO5/WJ4LfcTxvUnEFf +CF6HkiT43mMnyVUuTDxW/mRb/g0CbVsIcmwGVnCeZk+/SaD/VtHrHrgy8UOH +rsG4ZAJ9uc/Q8nCDegtf7ApIIdClwfgKLXfII12vBl1vEUhwNuQE7RzUe0s2 +u/VtyA+jUxydwBsP7ttmmEogxbFfb5+cZ2KLwszTe+5AP1MWwf4XmDjg86tn +smngfynGFgc84D7mwgXE0wkUG9miJerJxDx31vquuQvzSBtUHwJ22uQ8u+Ie +9JdppM6bi0z8Yiki7A/wrcBi6yteMK+xrhu7M0AvC8KizLxBH/duaPyaCf9P +DZRv9mFi2+jcxI/3CfStq482A3y3ceXpggdwfzJhruW+TJwbs1P/QRaBdm// +1J7ox8SLG/XVb2RD//A+Nj91Cd4nsGNPRA6Bvk7sGlD0hzzxmsfYOxfmhfSJ +4AgAvb2Jfc7kQf6+c2rHN2ALiZNPLR5C/d6zz2UEMrFg5fjs/kcEssk2rTp/ +GfSC3d1o92MCDUbaPdQKYmLKoOeNzBMCZSZvS6MHw3lph5TE88HPuV7e6waO ++/6ihPaUQB95Vrx6HgJ+LSh8nOMZgcq+rWkPDmXi8B0Bq6aBV6QNrTkaBn5d +O1jR9xz0Pe2q2YZwyJv7rG62vID+FODKnwT2kP3pVV0A59lwaG1ZBOj9nNuZ +4peQT0WcryZegf6WJJ2fvIL8JWMnYh/JxAW76wPvvgZ9SlF5qRzFxMtv799P +KIR5Sxm04Ypm4or1yW2hb0DfnQKZzcA75h9JeL2FvHRwcSg7BvJGaZ/PmSIC +9V22qfKOZeJJLoMey2LwK+3nhQZxTCy2r/nEoXfg5+2ThSLxTLxfKGkQvQf/ +DZesHga2nggLVywhkGfk0ZHiq0z80umx0mZMoE5Jb7G4a0x8h2f1lPAHyCN5 +KXbWCVA/sydlfKUwT0eKCuWuMzG9Py7rH3CXUyeLPRHmR6sg5c9H+L0q/41v +wLQFibTeMgKxVmmxHiRBXr/T/qK5HPxofdjrizdAj973tlV/gvzypcVW/ybo ++Rgi3ldAnrJFTJFkJl76MHn8WSWBpMRKBoeBL9asKLxfBf1vfqziXQoT/3f3 +7MbkagLJW61+FX8L9LxlR0Z0DewH/v0vbW8zMYv3jHxgLfjXqt5PiqlMbFbH +/vV8HdT3MM8g5x3otyKe0NOfCRSYZ0a1AJ9zD9CzqCcQt8N3m7w0uP8wB+pQ +A+S5/0JfXUoHvUupYNf6AvdnfYZpeJeJffQzFpS/Eui8XniSxD3oV7lFDulv +cN6RDtYUcPfkdxarEerx4OKbTxngX3Iq++nfoZ8/G9mnZDKxaaRYJFcTgdKw ++3rn+5Bf7yW1LABfbm4d13jAxBNUqupYM5zHPb6BlgXvS1d51NMC+t+f+KEX ++HaDo1xLK+T91NGPr7OZWN9U5VNtG4Eix1Kbo3LAX1szXD60gz/uyVo6kcvE +N9mfb371H+jXGL+ifB58/yWHP3k/CETaNvqufMjEtROf6tI7gOeWvzUDO9Aa +ixJ/EmjVuusaDx+BnoYlFEV2wr4kde1twGPYH5Y56wK6oB/i/+odecLEc1sV +xi90g58WtPdtymditfcim870gH/+k7k5Dzx/+uNZq17YR1sWjtU9ZWJmq2zZ +0V+gD4+1tt17xsS/Ku1kDPpAz/pX0TyfQz4fPpmn0Q/zOXWU2+AFE+fPyO1U +GoB51Nq4mlkA83zvS7PUIIE2aARI/gGOuq8fKTZEoDfH7I+Wv4T7fZNygDFM +oAT2H/Epr5hY9HalBN8I5I3HAz9cXsO+xNHKwzYK+a8merdWIRMPPf3MNgts +/aXqidAb0D+bx/yjvwl0UDFLfhjY5Yu3VM8Y+IHDxk8lb5n4c6nSsdZx2Md7 +9JwTi8CvZ3qT6/8QSEGC3HimGPKhTOxw+QSBxJJjRne/Y+K/MvJGxZMECist +qKS/h33rbeOn51Ogp6JXX/YDuyX7GeZOQ/5hrS8oLmHiTXFSQ+kzME8GrmXX +MOT9U903bsxCHhTx7jv9AfSnO9ckdo5A5av3iuwqBb1qDNkcOk8gWt5Xa9pH +6GcOj1V+C5CXnKRf9wFP7wr4d26RQPu+HRQvLmPi1INZnGeWCNTrgG5fKwc/ +WDnOsvkLfv6IU9LhE/i9nPU+s3/w/M33Pu2qgDybMRtxaBn86LiQF72SiSW2 +v2vWWUGid02OqgPAjzNeqO5mI1EQlSrwvoqJ65o6Hiuxk2h94YvJ69VMLHxX +S2kbB4lUlF4Mn6lh4qvfums3rCSRA5U2vacW5t/go5coJ4k+/vWiCdXB/tLa +r0RwkYh2WnvPCDBpbbySj5tE+3u5Aks/M/HaAv4+dh4SWfN8bEiuh32tgGxb +AL5hd0nJrQHyzW73zolVJOK9opKn84WJfWU2zA/xkqiZZ1qe+srEYfbyG3v4 +SBTjW1QzAexXlmbbzk8i9/OxXlXfYH/c7vbsmwCJZsNdle82gv4GZRG1giR6 +aniS0+s7E2/I0r9StppE5vbO/QebwE8um69+t4ZEybZX2zc2Qx6Y/S/nJY1E +Ej+/dC0Cn5xoMn5CJxHDV2nhawvMm/l+Ipsg0eH6oo15rfD7tRq96SSJOi6d +tQ1qA/1e+6IimUEi7vV6T4+1Q/7UfvLumhCJFqyO0OT+Az2MVfwUtRbu5/vV +UO4fTFzWqdsVIkyit5u5eH8C/9w+Iui/jkSZsy/vvepgYrvTWwwvisB5RzL3 +x/2E+fFbuucmSqLbed+4T3cycZaNG/cZikRnWvWbdnfB/POFBp5kkuiWOPdr +RjfU312D9ziLREiKnjcKLHolI9tEDO7jjkt+eQ/4sUGBmaE4iYSlmBV3emE/ +eOwlYiBBon6vjX88f0E9noyPaa2H+9kRsf1QH+QZgw0tuzaQaEzI4NLmfpgX +H+KbykYSZZW7/PgHLLinvFNuE4n8p+aMmgfA32/uYtu6mUTpJr+b8gdBX0L9 +lTZtIZFs6mG3K0NwXq4YXzFJEh26tFnEdhj0UML52zopEp166N6sOsLEx1ok +9pDSJFrXqZhNH2XiXvln7wS3kmjky4XIYeBJRZbhqm0kSlJVCij7zcR5v5wn +ObaTSP6Ld9idMfi70b28f8BPjuqkXxxnYo3AEo95GRLJ+d+pMfwD9b5Uc3hK +lkTKfGG8UhPghyZVmmNyJOIrXrZkn4TnCb3THpInkY0hDbcD+zXkWfxSIFFv +2DuVl1Og79dvhHQqkuiqBA+Om4b9wC20pF2JRN6/piwdZ8BPfbwFm5VJlJsU +was1y8QrP150/6pCopezH2tE54DtQn7V7SAR29fH6dPAiW4ZLlU7SbRtRD+8 +fh724+VmnnJVEhGrUwJzF6De2yVfYzUS4ZUZ0SGLsO/Sb3oXq5PoaLJD3okl +JjaoljxYuItEf5NG23f8ZeJs9y6lgt0k8qrZIU7/B/q5sVz2qQbcD/c+rxHg +AM6W3Y/2kGhKWLLr0zIT31BgWecgEk1++X7i3goWdvh8+/p9TTjPSrNRPzYW +vrNo3H5XC/o7JD/elJ2FBzoOqtzZS6L/1vdoy3OwsEFq1P0UbRLdezPNz7+S +haWPr958QwfmmTXc3wc8qtP5NkEX6ilZ8f0DJwvvD2azi9cjkcyz2KZULhZe +3OXFitEnUdp1rSEvbhbWv6szesUAvv/h4JqjPCxc1OZeH7YP9KgxfJ/MKhZ+ +vu5vWfB+EqmOMm+u4mXh6ZjfdYEHoJ7fn8/0AsfZGwxdOkii884GZzAfC9d/ +p4n4HiJRfuKv37f5WfjBmgMnvAxJlCcXHeElwMKu+5deeBiRSGejhuJRQRZm +L97MOn+YRLXG7BMyq1k4PqX+ttsREt3Jaf/Iu4aF06jFbS5HSWTI/TmnDzgg +8PEXJ2MS3TT/cbeUxsIhf4ciHU2g/yIFHqXRWTjs62uT06Ykygk+We1LsHDs +LmHlU2YkmpfrXDQlWTjHd43kyWPQb8FRSJHBwt1192VszEFf7e2TVwuxsI9X +q76VBYk21XhwjAAXvX1+8bglib5mFgdVrmVhmXalQovjJIrsRsQDYRauETsl +YH6CRD2+nIVB61j4dZ32RTMrEk3bCrpbibBwsWz7hIk1iVbFWauri7IwZ+zW +EGMb0NeZpXXCFAsflVfbctQW9CFxiG8aWNSJ7+fhkyRqtNlG+8pk4YSQzDwj +O9ALs09S+SwWrqrlijI8BfX3LDaJEWPh6Buq/ofsSfTwNT3pjDgLr1RAoQdP +k2gNs65fV4KFt0+w0g84kJC3xg5uXM/CrdJtdfsd4X6PBlSwbWBhecWLa/af +IdFPSX/jn8CqNrOn9zmRKENqfKp4I3wv38kvBmdJ9M+iPefWJhZ+GPPW0MCZ +RMc/arl7b2bhDE3Obn0X+B4n6f2mW1h4IlT3ir4ridzMb6gqSbKwaUGwlr4b +iaRuRanTpViYJvt+jb476O1OvsPjwFMmfyf0zsH5EeX7WRruO1J7UO88+MGH +D68ebWXhdTLJk3oXoL+rlrmit7FwfvYSTd8DzuPY5nRmOwv/sryore9Jopbn +Jt16Mixs/XxVtP5FEl154+myWZYF81v0S9+LRO+vafBzyrHwXH+csYE3if4Y +FbzvAX6aGtls4EMiSrA9tFSehQXT8133+cL9dr2yuqfAwiIWnCL7/eD/e/cf +uKzIwkYovnX/JRI1KaQdtFZiYc0Phx8f8CdRRP+zkxrKLKxueDjpYACJnMWj +o5kqLPz4RMK1Q4EwP0vbK5eAD5xcl2F4mUQNt9KE/9vBwpe/Dn0yCiJREbPr +UtFOmNfNfCuOBJPocvb81C1VuO/mgINHQ6B+liOXfdVYWNtmX75xKMybzTtx +C3UW9t11fpNpGHxvu3uj6i54/uBCvlk4iZaneFPX7Ybn9Q0cMo8AP/ke7zUP +LPECsVteIdHKXA6HVg0WtvvCVX08kkQTKU5Ob/aw8NjHPVlWUSSq/F4ZlIJY +GK8ev2ETDf0Zvf6xjyYLy6pRqSdjoH8G/UbMtVj4Vk3ly1OxJDJd37pHbS8L +K+1f6DkdR6IuB41sEW0Wjtr7cvOZeBKNjuavXwTuQ//8z14lUeig/PN2HRYW +qG8ddLlGotXXKk2KdVl43P+Ak3sC3B/lLXBHD/rzP4vl89dBz8u0W/31Wfij +36pcz0TQ1zKFN1YG0G+/jzt4J5FoyFT38Z59oD9V5mp+N0Bf34S8FN/PwksZ +K9cH3IT73Tr2he0ACx9ec5IVlEwizpEY9h7gjQ8vyoamkGjHLlu9soMsnMuv +ZxJxi0RlVu53Hxxi4f8amuOjbpMo5OZ7gQhD6I/E7T9jU+G+thrFOxrB908f +2HvtDuS7k1Kb9h1mYbVEteLENNDbkEP1W4/AvNIWDZLToT+aP8YKHGXhG7Tr +I7fvkkg0L9ZmDPiXMvf99HskktR7qvfFGM676bh7ZgaJlhZl974wYeEPV24c +zs4E/VxLO5pkysJBXEV6D++TyGjIzMvLjIVvG3w+kv8A/Kec56n5MRbe8bfx +/IssmK+lLX/VzcFPPn/Lfp1NIs2eN1YsCxZuca7/U5QD9agvbVxhycJ8EbVG +OBfy3To96x7ggPr6srI8EsUL7/9Xfhz6ee7HwaqH4Adbvj3LOQF682pxuO4R +icLv9vhEW7HwO7w9/etj6L+uy6au1iy8q87bofkJifbo5+sdtoF6J3Vp/5dP +IgWlCweVbOH7Gp13dD2F83J9cVh7EuZTV2xP3zMS2UrU3VgAFsn5azn8nETP +B862/bCD8xbyx42/IFHch2cKH06xcO/Ow9+nC0hUSM9Mv2/Pwk1D9fKLL0Gv +tbUlrpxmYfOE2MwVr+G8JSmvzzqA/0zGSXMVQl79nX3S0BH0t6nlE98byAt7 +LqxXPMPC99ncvWlvwV9ZK2aFnFg4BpnvWVsE87N4pHMBuPdEiiizGPKGnntH +x1n4/k3KAhvekcj1wvE/pc4wDw7ypNR7yDuTouuyXWAe/yTIyZaAfqu/MIl2 +ZeFnN6xOKmPImx83Z7u5sTBLKiVX/QOJjrD7CRi7Q//663FplZLo4LmCKzvP +sXCqk6u3/kcSbY5uFmaeh3zwib7CsAz6pXbgHdsFFvY8q3rHpJxE156NePUB +Ryv1Gx7/BP75tl+3xoOFS5bEhe0qoD8cO6SfeoIfZg5Pn6kkUaf69w1JF1k4 +mOvAoHsViXa9aZD39WLhUzx6E17VkBfsvxtbe4NeRXWtCawBPS3vj9H2gfed +E9cJryWRnx1/m5QvC5OZPPGxdaBnFXq7VvuxMA93+u/Ez/B8v7QXU8CCYQN2 +qfUkeiTAQG2XWDiFZ+h3ZgP0P+/TrhJ/qId/TvzDLyRKYfNIfhDAwncbJHVf +fCXR9RD7U9GBLHxu0o1e9A2+Z32kzrnLkAe+BU+VNoLen+9RNwti4X/2p0eq +v8O+s8pHb3cw9Eua2MLXJvDzS4ccN4SA/px7wWxvBj865Zi2KpSFE5s2m/W0 +gF9b1gyOAZtWBGQNt4K+LPntawpjYSkNzDfVRiJmbwAuDgf9VBkPX2on0aen +LfszI8CfnxDCnD/g/WxxI5FXoN8eyJYIdIDe+WRmuEeC/1EGl4R+wn7whulq +FgV+z7A3FOuE951mM9SIZuHfSVd2SnbBfG0+qrMpBvwno3CHfDeJXt9de5g/ +loVPai8cUOshEU/A0fOTwE+Cj3jv7SXRZ0e+3LY4FnZ3/PTmwC8SbRXQnv4Q +D9/DYUkz7YN+FGY3y70K57FhBFr3Q95S3ff56jUW9r+6wH5mgET2EhKW3gks +vC9z9Z3zg/C8oOi/1tdZ+P0j84OXhkgUIBj3Ui8R9O7DDyJ8GPL9pe0hskks +HDF3dzx+hERzwa6n196A+ziT05MySqLuVhPrZeCBbfMjmb9JJK4+4NJ/E/TT +Opn/yRj070nphPpk0ENmtFbhOMw/v0Tt6xTQg/CmuNI/kNdmG0Tv3mLhr28C +/9ROkMigVyPoym0WptqinZonSaSV6Lbkngp+xbdioWsK+qfaIdb8Dgtzne9K +H5kmkcaBbUpaaVA/FeXjszOwz/78MC6dzsJWl1fIss9BXjmw/SNxF/zLV19Y +YB7yzPELD5eAdx6hCwsvwN/bk3N/3WPh40p2MhsW4XuTMt59zmBhZyNkKbNE +orXmSf2vMyHvtDxJU/1LIsEZzy337sP7/72Y0/5HIiENA/+oByz8bdb4jNEy +iU6sJAcvZIE/Lt4Yt1zBQJ7MdqcT2fB3FBjnwMZAy9aZ7Ho50B9sxN4L7Az0 +PvPcU7lc0FdfM8FADgayLN3nIZLHwl/6D49HrWSgPzcUD618CPWJ5B68wQnP ++yen8Rs45q7/XAYXA6k162m3PGJhLdc3rHxuBtJi87cpfQx5aAe2LOJhIAur +7wmPnoCf7r2ZX7GKgT59MWm/kc/CFc17RRp5GcgMcagFPYV52VNzu5OPgTqv +dj85+4yFI8sVlEb5Gcj+4Zyq6XPIA68De+Zhdit89rWjFyy82u51LtdqBoru +/y9hawEL84v8DCfWMFBHV4GN0Et4//YlX3EaA503a9Zme8XC7RNE+HY6fO9O +gz0jwKolW3PUCAaa9lpt1Pyahc8P6XfpkQz0gUfWq7QQ8ledu7wJA57f+ajg +8RvQq7Kc5JNCDHR0JpYn5S3kn60zQu5rGWjF3ubzoUWgdyetHvkLM9AvHDvp +Vgx5u7LvWPQ6BuJwfhVl+Q7q+SGRShFhID0t05167yFPP3WZzRJlIPa955cU +SmDeFi8OFlAMdNBtdTOoMW7gfTVRymQggWqFSt4P4Dd6csQXFgNlm3XVzwBP +M4f3/RRjIGuW+O/uUrjfheGUUXF4/6ap9fUfWdhx/84VSxIMtOR10rWojIXt +Q777825goBYx94bschbWJaro6zYy0H7p9QaJn2B/OydcsmUTA23L8m+5XMHC +a+lVwSqbGaghMyLApRL2CdfOEzpbGGiPso66RRULM9hOGRlLQr1diwT1qlk4 +VNvcwk6Kgc6cGptTrAH9fV3ud16agRZl+ubFa2GeW54UBG1loLd992mCdfB9 +UiKc17YxUHyWHFoEntwu4HJ3OwNVRcWFDXxm4d1OsSP5Mgx08dnHru/1MJ/2 +d0NKZOH71b4bf2yA/Stnv0K9HAO16lV2PP0C+vQ+ca5DHvpl6V5g2le4b4Wg +pt8KUC9/hx0x32DfSBSq/afIQBl/mFy+jSzsdcGiVVCZgXqDqocdvsN5bI/8 +Y6kwkOax8wMmTSxsOcWhLruDgVbdE1naCxVhYI/4PTuhHlGVmxVaQC+P5y0a +qjJQqVaQo3gr7K+n8gJt1Biobsngg2Ab7GsXfEXPqTOQ6vAW+b/AXpvE64N2 +MVCXlnjhcDvkN5F7txJ2M1CI2k7Ttv9YmG2aPSBTg4Ge8HryVf2AfdB0v0/B +Hga6Mdre/LqDhZN6A2PKEQOpiJ0vyvoJv9fNet2kyUDBP3a9SuqE/LypbKFf +i4GEHTUrQ7sgj2/9aTK/l4GMV4T9udDNwsKcfyt5dWC+B/kV7HpYeO/JDcaU +LgOZO3ZEHumF/XfCbHa7HgMRZf/mNH9BXnC8+3yPPgMxdC4EyvdB//uwhx82 +gPlS1mRK9EP+aAs5Z7ePgT52u3xdMwD11ZH29NzPQOkp/9JWDLKwssfi1YgD +DBSeNxc8Dnx5/d+ylIMMtMnBNqBzCPxTUJn26BADzazXuNYwzMKb5nM83xsy +0F7FxCI8wsJtmVYTDUYM5Dbm+PfpKAuXfbWM6DnMQI5PP5je+w3zdiBLaeYI +A002ZFZcG4O81rJ3gceYgbifkEbB4yx8T1OtRdSEgeYfrBs//wf86Uj8ZxlT +mJd1hdl2E5B/2vR/aJoxkKLT9EXjSei3XOeVJscYaHSp6YTOFAurXF2h7WjO +QCY7Th5XmWZhbzveVD8LBtoZlHp+ywzkmfl4/nhLBnLWjr4rPAv6JH0zKeM4 +9OuIYt+qOeinz5t2vDoB/dp3e+8i8IuPmn+qrBgoJqOycGQe5r9//OMPa9DP +ayU6HQss/EdYNf+PDejPpvCh+kW4TzXxF5wnGWjtd4nsD0ssHC7/qH6dHQNJ +CiX7vfgLeaW7e6XMKQYqsv3t8OAfC39Srj6iZQ/3pyDtfHMZ5lvI8Y3paQaK +W3n4SuQKMXzJrXTnWQcGmjB1LPZjE8N9sj8bAh0ZqDLXk8eVXQwX6pUFJZ5h +oB2BAc42HGL4Y47X/lwnBsq1vDJwZKUYVtFf3v7+LPRXefIlHU4x/FDUVuqb +MwMF7H0puZNLDDdTmbsHXBhowKZnRJpbDI9r1zj9dWUgZq5kFZNHDHdd+/mU +7s5AzblR79asEsNtK/pWS56DeZoUrObgFcPfr/dG7D4PeiJU9HsG2Phgl/DR +Cwwkmp24dYhPDI/Id5c6ejAQl/q9yz/4xbCd/mhYgCfoxZm+0QYBMZx7i+dk +4kUGelh75kKZoBg2UVQzy/NiIJ5lOVrhajHcL3bFHntDvdI0Kx6uEcMP3Odi +mnwYiL7vXlI6TQyfVb5WN+IL359pcuk6XQxnBR/bwnGJgbQPnvKLIMSwhqvx +rXX+0H+jXxP8SDGcsTp6s1wAA/2Qzi51Y4jhy5fZa3UDoX5P+nhPCYnhrz9w +1InLDGS38ebZY2vFsL9O7UmPIAYa2fm+94CwGOZtkTaODgZ/vG17UXOdGK5+ +1W2VEcJA6/6Gi6uIiOGL3AvBb0IZSJqm1CMtKoZvjV/EDWGgnzGu78UoMbzm +tvXagXAG6tm86znJhOcpvI1YjmCgueSM96tYYli1J4a2NpKBaGnZPf+Abf77 +USATxUBHJo0kpsTEcI7Ri3O60VCfY/e9BsXF8KoLhL5VDAOlxmb3dUiI4U8+ +K3dejIV5MrNxbVwvhjtSYzTj4mD+fRoFqzeI4V7G81NZ8Qxk9G5VZclGMayw +3u/e+6sM1DjEeevlJjFcvjw623SNgd7UfQ59uFkMbxhf4ziWwEAJik5X7m2B ++ikP/eFOZKCp4R/3b0qKYTrjcpJ4EvhjpWxbrJQY/tbUckT1BgMdT7WXDJUW +wxvLFqSO3GSgpt1h8b5bxfCi5IjI2WQGuhCauPrcNjG89+iLTaEpDDRrkJLj +sF0M9ySY7rtzC/KKU4qFlYwY1lb778qr21Cvj7c2mciKYc/0fV31qQy0RiVz +1QE5Mfw/jss8nqrve+MRipQS505077lJKcmYIbES0iCaE5KpkiEp4kNJpsqU +kGYSISKFkGFnDIUUlaFCkQopQxH91vf35/t1z93n7LWf9TxrKzPTdvTflIaA +OwUi61Vwv1MTHwQTpEHvx0cZHVUu+ZuxMUQmURquCPK3qKihHs5cM159Wxr4 +FQGxy9S5JLXtF888CfUrIzLG1eASnqyV9JE70pA9kevOWM0l5zLfLQ5KlgYh +01ghCU0uGR302HIrRRq2Ct3LEdHikrOmSlEFd6XBeeHfk9PIK9UlvzenYn4d +vbhnTJtLfkossR9IkwY/CVfzQR0uGTRzHZl1TxqWDsTb9a7Beh4aTuBnYL1n +MiLf63JJa+1jx7WZOO+Y/2huXcslOwarjfbeR797raDSqIf1M10Cx7OkoTmq +Nq1Gn0s227/bGZktDRdDW7QJcIlBZn9g+gNp6Hi641PBOi4pT7N6UZkjDUPG +m9JyDLhkU7uWyseH+H66LPjeei7prwnKnnwkDW7WBX53DFGvo8YmjDysv5hu +xA0jLlkzEDypmi8Nm7TNH8cZc8m0tknt1sc4/0xNTERuQD4Sm3OkQBoWOxvs +PWfCJcPzjuWGFEqD6nXFxoCNXKJY+OllUhHu726Zje8mLvk9NSpa9kQa+tMF +xDw3c0nxiQyr9mJpqCv//cJtC9b/8Zy68RJpiFmQkXHYlEtm2spulyrDebZg +0R27rehX8/tGlAnqvdMi18oM93/o6EPTp+jfd+0+7DbH7xEuuXCkHPNMV19u +2zYucYttPRVagVw/enbzdvSvwvKw5EppEAgInzTawSXnF53LfVolDWfCRSNh +Jxfveyt/v6+WBgfecZ01u7CeBwp3/63BfHFvnLF6N5c8v6HaxKqVhuhcuS7l +Pdg/bQkOmnXY/3I+7Sv2colW4yypXfXSUDzRPCRvwSW66sfeezxH9tRaxN/H +Je0V3RUXX0jDydfZB2UtuSRL174yqwH9zkK/lmnFJWXWfz48b0S/2jBgJGXN +JQL9GdS3Jpz/Ppd1SOznki93Ag6LNuM8caokYo4Nl3TsDGhZ+gr7ee/3vbMO +cIlQdY618Wv0p8rtejNtuSSsgiXg2IL1nz++9h/yJQ4pC2yVBteoD3sm7VBP +tzKuJr2RBv9YyfBxe+wHuify6Vtp4HpdbvvlgP3k45rw8Z00rIk4tv6HI5fc +Or2t/l8b+rf6vervB7lkZM5lSW4H+nGdsUP/IS4x+7fOU69TGuIzTWV6D3NJ +uKbVL+v30hCnVzXY7YR6jP8WfuoD5uGnR+0fjnCJt9D4upsfMX9m8no6nLlk +gWOwZEmXNHwTmS/c5oL+lnxzuqNbGnz3Xlj3xpVLmjKNRaZ60B8Pxl157cYl +D9xCFWQ/4/8TNMWaj3KJVdvBw2t7pWGL98nLje5csu7zt3LrPryf2FuufXEM +8y9IVvv0F+zvd/3TdR5cUpojWH+rXxo27lBof3acSxwPJ3mXfZWG/7bwmqtP +oB+lzDT4+A31v76lp9IT+9Vl5VKBAZx/C7bOr/DikmMl8sv4gzgfrYrZ8/Qk +l6xNHDNcP4T1V0wvLPPmEn9O8imHHzivasavLvXhEu6a1c3Bw/j9HfYNxf+h +nsRzDVJ/ol+kSAc88eUSpwS5xme/pCGW/2hrkR/mq0jUya8j0nDos4Fm4SnU +096JNeJjOF8F1OsUnMa8vOcqozSO/hq+w+KxP5dYMn8wzX9Lg09i16X8M1xi +XXZOxeOPNBjv8evLC+CSk6V6B2Mn8H6wdfmevLNYPy3W4/xJaRiU/9mVG8gl +ydu5cu/+SoPu2bbQ3CDMI7W99yenMH+Fv5rkBmN+CNVvX/QPz3/P0iW5IaiP +kdNS62ZQsHHxVZncUOxHFd+f9gIUcKSMV+WeQ/8dqP4eIkhB8Vt169zzXBKz +32nmvZkUJPFd7uZeQL0UOa1+IUTBnpSfYnlhXJK5pjH4hzAFCxmNF/LCuSRx +0e3hhbMo2Kw8Wz4/gksEk3t9NGdTYJeZ3JEfiXoUT11kKUpBnUlG1uMoLll4 +s//DaTEKMqr4NwouYr7czCtJmkPB688LUgqjsV57JAuqxSkwdvOvLbrEJRRz +VuPXuRTkynuIFsdwyVyl64ISEhTovfvhUBLLJS+/t2xXm09Bw3bBjtI4LvmV +Vlq2ZwEFoXb33chl9KtCq41+khQotP2WKY/Hecf78VDiQgpUIr/1VlzB/DJs +fVglRcHJXeHPq65yiYIfufRVGt8v2v2i5hqXWJw9FSXBoKAj+NfX2utccqJY +Kl2dScHN9JrFz29wSeGliA8WLArKdzl6N9zkku1Hh1T92RR8cH31pekWl4yX +rbuTzKHA8i3T81UCzhNjYcp1MhQsOK0r25qIzwe2tA3JUrBtk1HX29tc8vT9 +kiRpLgW2K3SetidxyUX/oJA1PArIAn7J+zuYD92/Q21pCkp+zGzpSkZ9B1+4 +G8qnQKS0d/bnFC4p6ofu+4spMPF4uffLXS75c2nxmtdyFFycXV/5LZVLjszS +yZlYQoH96bYtQ2n4vqYwQ3opBQdeiwz/TEe/8eWNblhGgfncPTlj97hka/y/ +cjcFCp4rNUdMZHDJrDzlrLjlFKit8w+ZzsR+O/Ikv3gFBdZmjtcFs3Ae3pra +0aNIwYuDYc9FsnHenZzkzlGiIC/+N2vOAy55KPH0jOoqChaNPgqUyOESpRXT +0xbKFHjGVopKPcT5cajoWoAKBZ8iVDKZj7ikXujfjnRVCrz/CjjL5mK/SjYv +f6mGeprSNebn4X4r13D/qFPwL6d/7dJ8LrlSu16FXk0BQ1diu+Jj7MdXwwc2 +auL5Pc09q1KA+4szzTqmRUGKc1fj6kKch5/tZ13TpuCYww1t3SKcB5asTCrX +oUCz7XvZuidcsv8IMfm2hoLTU+/sNhRzScNu3lyptRQcFHDmm5ZwyfH7O4d0 +9SiQkUmd3l6K84i645CjPtYvJG58bxmXMPMs5kYBBSd81861ITjPTmhvLFhH +Qbb2XX3Hp3i+r+be6TLA9wm+iXQu55JDkp3sOYYU5DDfTByr4JL4C9kP1I3w +/RX3A70r8TykIxz2G1Owaoudgn8Vl3wNP7X63AYKbk1Pfguuxrx5cU7+oQn+ +X+FsfXgNl7gX5qt3bKRgCfdvTcwznCdUJWxFNuN5qR3rulbLJfL0tQzlLRSE +lHxhJNVxSZCrjZSlKeqbccQ5vZ5L7gsduh68lYJ7t/62P3jOJR6tBfDAjALt +h6lOBS9w/mixEmo3x/PN9ZAiDVwSPbavV3g71neOY0dNI5dcVXvSq7yDAlFu +yNPGJvw9NFjYaieeh0VnxZuXOH8MPzUI3UXBsIJHz4dmLnnh4X3r4W4KpGZs +4X15hfPq/Bzm+z1YLzOP/3685pLgV8dzRC0oWBr1ffh3C/pp1bPDGvso6NUs +DxF4wyWuo4/1bC0pGKua0BJ7i/l0YqNahBUFawtuzl74DvNsV7BxoTUFnRcf +jnLa0K8eHvf+vJ+CU69hxpJ21OMdmdoFB/B3MfNlSh2oP+NzWnq2FBwt7XPV +7OQSo5LS6iN2FIz4SbyE99hPK54dj7enIK21YdumD1yi8zhTv9KBgub9K3/s ++Mgl/LATy4cdcb0M1UzrLjyP10vVFx2i8L7YG3yom0tWVTRYbT5Mgdxfs1PH +enA+CTuW7O1EgbvOyUu+n3B+sWfOuXuEgvFH9lXBn9FPg+ovvnKm4MlcWepi +L5dUKsZoCLhS8N/QvaBrfTj/Xj/5R8mNgt1C0gtSvmC+Sgd0WB2lgDdh9yS7 +n0tsPjx+f8Ed9RRwI7DoK9Z3vdyMwmMUhG2tdar6hn55sQH6PCgQYA67Nn3n +EmOpskTpE6iveM7F9gEukVo8zTX0pED3gnlT7yDmiVRsqYcXBbXZ8Uo/h7hk +KZz3u32SAnb973tTP1Dfwr0WTd54Prd9jUR/colIxcPd/3wwj6aWTkv94pLP +neMeSr4UsNKFW3gj6M9PSrKs/SgwOyFTpziK816NuFjEKQreKp/o1Brjkteu +A0HFpyn49UhKwmicS1i8w9zv/qjPFmGbbb9Rr+bB7zgBFFDHzF5Y/8Hv9TF9 +tPksBQUOfyyOTKB/SdZm+gZSkB89R/jkJJeEXp1RnRFEgVdHREPgX8yjS3+n +24MpuKF4Lv/iFJd8O121RzyUggoXwZKb0/j+Pvsm3XMUhF8Q6r73D+u19+Nh +1/MU7FpTL2k1g0cO7l9P37qA+Sb5saIbeSws7k9DGPp1tWGQkwCPqHl9GP4X +TkH0zqkdP5CpfAUxlUgKvhfNVTspyCMVvX4GdlEUCE/40NPItald12IuUnBh +oTE3eCaPsK8fWFgVTcG0mJeiuBCP5BwSzBy7hH7zee7GGOTA/EaHZbH4e9oC +T7Ywj4yqvVy7Lw71tT/4wW1kgWgJzfDLeN7zXCeXifCIx5kY89J4CgKqnu96 +gKxf6HjhxxXsz6i0Ms1ZPFI5FvmJfw3z0k9IuwxZe4xhs+s6BZeufXpqPJtH +urxFJ0JvYH3/btnXgBy43iWv6CYFfXnrBHeL8oj0oo3RA7fQf9qrCzuR+S1p +EbxE7J+zH884ivHIQs3Yeztuoz9WXdozgCzFkPoSkkRBRHHXWs85PBK/ScW4 +6A4FMYEv1aaQp++NVA4kY55pHtQOFueRJOqQA32XAoPxO1vnzuWRPy7RcrtS +KRjtjjweh9xzyU/4fBoFV2VWpMnO45EfbiqzStIpKK3x+56CPHegQGH4HgWF +oudASYJH8v9yXJdkUrBfdFtyPnJmpP1Li/sUaAy1M/Tn84jO1Su7I7MoCPqs +eL0G+al05d/ybAq4TBMl8wU84iMwVDH+gIJzuSov3yIPWvIzFR9S8KN/INBW +kkdWLT+UZ/sI55f+M8ZfkXOOV3+4nEvB30+DzOMLeSR0/cYVz/MoMFqgOzmJ +/Cn1d7zAYwrkk10GgqR45Hpu5xLNAuyvlqChudI8onRaoMWlkALHznMC8cgn +uK4pSUUUzPvtt5hH8QgnTyH+7RPMA1vHXenIZw7AvXklON/tNY5XZfBIllHR +e8NSCr7KyPU/QTaKSFT3LcP57YfgZiMmj8y2/5uRQ3A+ovqKG5AFxlsNvzyl +AF6/1tvL4hFBP+1/iyqwP9ybmrqQ25etbN9VSUGs+nsPZzaPPNF68ja8CvPZ +SXDJKHJ4//fximoKJKzX9Z3m8EizX73WZA36u2VC4WwZHinTPnBdtZaCDXm8 +G5eQeYdzuUfqKKCf1EbKyPJIye6XVbfrKdhKbkXfRT66i0S8e47zHis5WXkR +j5gVXji5oIECfdn3NUXIgW3agRsbcT5cvG3SkMsjhdJvHgQ0UaAaKqDfiPyy +znlG0UsK+Hd+XbLg8YiBtYDHz2Z8X8uK8R7kh+q3hVe8puCaX5azG80jP4t3 +PrFvoeD8hP+P38hLHZbE3GiloDonOTiQzyNNt2QiWt7geYrQK+Yt5pHOrvXp +895hvx/48/EKskx6ct+GNgruyqumLpbjkZseJiYB7Tj/VTSeykKOJlr1RR0U +mCa1Omgv4REVlr/7SCcFy1Q2W1Uip4gs0VL6gHr8oOJgJo/1Z6jzD39Ef5GN +8mtDXteep5TUhfOyzaEUx6U80t3/yLqjG/2TVfb+B/Kxds1s6hMF78qvLfNb +xiPKWzcv3vYZ1381fXaWAo9Ud48XhvVS8KdyaOASsrrehuPVfTiPSnk4LVrO +I71i680E+rE/9C+MpiOvGR0x1f1KQXKV7iWNFTwycP/g0ZPfKKhZFqn/FHnt +19uPHn7H+8H3s1NbFNFv7B+wBwcocInjPn+LnNhyPVlhiALDjMMZDivRDwTd +tjn+QD3m213/gdx1X5m+PUyB0nrJG35KqL+kgYWdP7F/O3zvz17FI7fuZSmw +RnC+l0xujEX+c+WU3a5RzK8TUYK0Mv5u4FAaPYb9GmtgfB9Z2t9lbcM45tGs +8mvaKjwivjLxg9gfrLeD5Ixq5PwVoikbJih4sE7La7sq9o9tTkTQJPqzttbU +e+QN+UlXn/7FeecLFeesxiMxzL5n01MUvPr2du1v5GDvcxzdf5iH3WfHg9R5 +RPL5xWifGQyYeZRVvkAD+09cbMVjAQYIqt++eQt5n+Z034ggA+a9WXRhxWoe +Edt68pmqEAPg3+XQAuSp3f7P3YUZ8HnXvMtGmugXlryRLBEGzA45n9eMrHfE +QX9gFgMSdOf22mjxSETsrqwVogy4sezW0gHk3OEpOCLGgIkJ+O8/bR65fP3Q +eNocBvx3cKJzlg6PRD648bJPnAFvuY3b45DpXamN8vMYMNhZ8Za/hkdssqKH +HSUYYGvRefQBsmm/o2bKfHx+C4+pp8sjb9SUbn9awIC+E9Ev65HnVYwoyS1k +wJqLGjcs1uL+Gyo+2ksxYIfNAu8+ZNfolPw70gwoTlZw9NTD+pkmP+ihGCC8 +JNB+pj6PiGyoa1jMZMDju/zj0ciqNfQCBxYDVv8Uj+UC+jUn72QymwErmo2r +7yM/iokU/MzB+i5sEdVdxyNpoQU5S2Tx/YHF++uQbc3XBh9cxIBtvwSq9hpg +/pguPZXKZcBXjXu6fch+H89c/cJjwBluUZXneuxn951tCnwG3A5ZfUDIEPPY +KVPfeTHWY72ceAzyEt2Y2kw5BoipnquljXhkpeVC78ElDLiw8tCVB8hr9TU3 +Ky9lwEbpam99Yx5ZdFB0vccyBvTWph9pQPY2j7XJVWDAeiWGm/UGHlkR1J04 +tpwBvKULA78jT4dNi2grMsDnelK6rwmP3Bn5Ge27kgGbTtR1iW3kkRk76taV +KjEg+EbUimvIN9ZGUQLKDDgkMB6isIlHbptvmW+owoD5l4RHCpA3KYqvClVl +ANEnHiabMY9OvPOoU2Pg/WnFzLfIw69K2+dqMCD3qWnKoS08YjVe7bRtNQNm +BS63GEf2iv4rE6fJAMM1NYtCTXnEyeLI6FstBuzsXTZGbcX1ZnN+yegw4FfA +zg93kXfasijbNQxgzjNrW22GeSLvvj9FlwED4bJ91cjy9PLn/WsZEC5YJbzH +nEc6Fm23UdJngKXnptV9yP9+/GQcBwbkDzz0PrkNz+8oY+zxOtSP18wXs7bz +yPITdX/+GjDgA2ed2hXkfR+oxQaGDFAecM9YtoNHzsXN8gg1YoDrZLxGIfJf +/9Te58YMSLd48nLjTh65FyYQIGmC5yP70b8NeeQeb93ejQyosZ4DzrvQP15L +LL21iQHt6gaSf5H/CrWpftrMAPvS82Phu9G/11xwWG7KAFNm33fZPTyy/9SK +YvetDBi3sxnNQvZ5/Uz7sRl+PxmXgL08cmmra+eUOQOo3Xm6L5Gl/y1ONdzO +AIFNN33tLFBfU+OXw3bg+VXlPv+FfP3gSGbzTgb4/5qhHLwPn7eU62ftZkCq +QGgKZYn6FojZbLsH9cndsjINWTNo8+u0vQxY57+rRtuKR4olLQJ/WKA+dqYd +r0eu76req2WJ9W/ZqGptzSOPFRJ3nrFiwLc1+jOHkEUVfng9s2aA1dOI3jP7 +eQT45WXzbRigdUenQ9IG88mKXmVxgAH9vM2fkpFH5VhVt20ZMO1bOb36AI/Y +P88N+GrHANXfGStqkVvS/jmoOaDe2kWcLW15pEZa+KifIwP+uLUVDyD3H2tK +qDrIgJN/V9Bn7HjkOd91fN5hBmx4OeOKpD2PzL/U67nXiQERuvvpFOSNSiac +pCMMeBW1sUTTAfP4yM2+b854/oueOdchrybDbRquDOjR/6Bo7cgj6Rnmo/5u +DDDfHDvjBzI7u2p13VEG1F//3nv2IM4TO6wSpI4x4HTkwAfpQ5iXfN4qGw8G +1J698S0NOT1bpjf9OAP2t02L6h7mkfIo68qRE9ivf1hrGpFVbAZr9b3wvI1+ +nbZzwnqVtI1dOMkARYWLLaPIveZKm1u9sV5zx/TOH+GRu+Uj1fR/qC/b5U9k +nPH3cu0jrr54vrGqmx4gvxcR1Sj0Y4AaU+r7ehceuWDstlT4NAOu2b5OfIM8 +us5z3TZ/Bpzr8z7s7Ip5XqwQePMM7m/xrPX/kK/6x3/vD0A9XAxSjnHD791b +d2p1IOrl/pjy0qPo15yG1YFBWK8JO8MnyKUJWYymYAbITDYcMXPnEbeKkzzZ +UAY0qEFyD/JvJ41tR84x4I5i8Y+Tx3Ae8PmV/vg8A8qPmpiLe6B/d5UsFw5j +wMPzX8sTkbddSny1PZwBV0TTTDSO84hxUGpyYgQDOs+EdNUiH899f3MwkgHb +A8Mi9p/A/pfbXqZ7kQGeqcVbfiF3ts0VDYtmwGQwl3vOE/Pks6zvu0sMkCsq +FJL1wnlhd6T0slisX9fFqRzkHYbOb73iGCBy857ohpPYj/WkouoyA+IixRU6 +kJ+KX38jdYUB5y2LLY9547yvLCLlcBW/N6PstogPrucwz+fRNQZwFGQmryMP +vSkTmXkD++/Mm0Mq/6EeKuRLtt9kQNuB8b5q5Gd2ZjeSbjFAyi/A18oX/fyP +UfLPBMyfEF/+T+Q9L6gWg9sM+KfxrSPUD/NJsUEpJgn91LD1nuwpHkk45J3T +c4cBfDeD8EfIK9/Q1uopDDjrrhGw8TQ+/65VJfgu6lM87/wH5AONd1a1pjLg +gEhNiqc/3gfouN1L0xmwcvGxljln8Lz1Ht/1vof+tKKQmYRscoXi1WUw4MS3 +5KNaAdhvqWXlnPsMeLRKp60BuedraaRrFgOqnp3e63iWRzR6eUFl2Qy4e977 +6yTyFP0zaUEO/r5h5cVLgXgeK/W/2T9E/25P2qgQhPePm1LW+Y8Y4LzoA0WQ +5cX9f8/OQ/0P9o3vDsZ8YoaVWOYzIFax4vsA8ttDRplZjzHvCr1Gg0J45FRK +UaVAIeaz32xJmVBcP2BcZFcRAx7sO23wCPn3w9nH054wYA+8D9l0jkd8RyZm +/y1GP2ErfehC/jG7/ZlZKerpzfHNPud5ZDw/7+GdMgbkOefVz7+A98P6+Opx +gvlc99smDfknK1JoSzkD9AbWz4YwvL/8l+KSWMEAoRc3Kt8ge9d9nR6pZMC+ +Q6JxR8NRb4NHnmysZgBdHOUzK4JH/F+qJt2qYcDrFxoeCchLbc0e/XrGgKu3 +Bfw1I3nkWuyLQZM6zBf9PwmNyJ4Hi3beqmfA7xx+y6EoHmG+4X/+9RzPVyRo +0YyL6M+DCxM3NuA8Z7rY7wpyWMG14IRGfP6KyKByNM57JpVxo02YR//UTtQi +l+TfbNrcjHq8kjPP7hL6B62+OukVA6L8g0smkCWzYqt/v2bAxea8MzExOC+H +PA8wa2XAWI7JXsVYnJ/avhy6+wbzep2hYRXy0o9j3lNvGRB/N8twfxy+7/XM +vJ1tDBgWi7QYRx7+LSOT2Y7z6LUvZy9e5pEXl82yZnains5WEoV4zLPJNGfL +9wxIGV26sAL5mu/qnY8+MCB7Kes/qyvY/8eED8/pwnnN7NboKLLN2sWp9t3o +V6klwVFXeSTE6OaC4h4GVDqfWq5wDefL8TOpUp9x3u3o6SlHTqpsP+zay4BS +nfEcq+t4X5N/squ6D+fbFyWxY8gd1xXduP0MmGpbG37xBo8Y3lv70PsrA9Ky +T11ZfhPn3Y5JuvkbA7qvBBZWIidWnChZMcCAzX27hvbfwrwczwsKHsTvH5zQ +/oNcTr04+WGIAQ7CPldjEnhEuKrmsvYwAz4Ftc5VSsR6ZzzqivmJ513Lin+G +HOZ3a+/gL+xn1Y0a9rexHwfiJk1G8f985y9TyEuKU+vujDGgYCr4wZUkvI9l +dlVNj2N/KiZGqN3BeTtk24DFH9Qrm/g3IAdwhNflTWC+anwPcUrG+c9A7On8 +vwzYO7D8jlAK/r/VzdVlCv0w/+zrBGTdJ2D8bJoBQ7Mn2Gvu8siV9ojNcjOY +MG4V79WKfH6Jw6kzAkyQVLbtO5aK+X7xZXuHIBMmBPa7zk3Dfmd9OqgtxIQT +u2JnpyM3lqcvuizMBPcHYoWG6Xh/uKw885cIE+qu15z+iHwrOUTKfDYT1tx5 +aeF3D58XKtp+X5QJb3at2sTMwHx+9bZEbA4Tgo36zHKRC9SGdx0WZ4LurBnO +5pnYn+YLONVzmTBT7cz178hXLDfMlZNggpiDW9e5+zxieeG24tn5TDil9VJ3 +SRbqU0bJ5+MCJlzYln3/KXLNrsmfeguZkLhDQn1/NvpBAOPaTSkmKPeON04g +6/+86PZXmgl5j44GxD/gEdY/T3dLBhManE6ZqOfg+c9uSShiMmFf4dIlL5EV +ThT/ZbGZwNntyXB7yCOrsnRCfThMYIy7cOc8wvlx+X79dzJMCNotvTYNudJO +Y4n2IiZkqHi6G+XySPubBq2rXCa0m8QUdiNbLND+7w+PCV02XswzeZgPN8/2 +W/CZcHDtkgjZfB7ZIlkUUrSYCTsz7jKeIFuIDW7jLGHCSy+Bgr2PcV5SWLnZ +T54JBu66bmPIpawQj86lTGA779eJLeARxoVZz/QUmDBbz01GtRDPV41sTlzO +BGaFh1QTcvur0ikBRSY4vPHguxXxyHplyff2K5mwy9LTWPwJnqd07fcqJTxv +1YAz95Aldv9UWKbMhIr1N5tMilHvz2/EXVDB+vg0re5DVrF4s2pAlQn+hH4U +XIL58/nBbzN1JswRu2IkV4rzqI3Wj4caTHi7UWewHPlwqR9FaTJh3kmJ+7Zl +PKI+He7so8WEzeGLzs4geB+R8x7q0GbC/lA31wRkM13TJFjDBHsnkaN6T/G8 +9nKCknWZULZ6IKQT2SV6OHa2HhNsxhXy/Mp55JDoh9cu+lif/Io/nAoeOdb3 +c/1LYMKrgKc7nyCPWup2axgwQchlefW+Sh75fL0u+9p6Jnw+L7x1Atn+c2bm +P0MmCIxYfL9axSNlp36+dTBmgmm10m3tapxnH9xTr9vABIoX5vIOubzpU9mq +jbienNdWnxoe+aL94L+4TUxg/R4zZj3D+76pjOPkZtRztdTuQuQZnlr+tqZM +iC1q9bWoxffxpGprtuL5iBgW/EEeryk1UDJngleH/ZxrdTjvfdvwPXYb6ufE +Wk+desxPybKqye1M+C76drQN+fkztUa7nUyoeqcT4fucR3an5M2u28WEJfKu +a2Re4DxotNNDZQ8TZql7zShBtjDlil/dy4TpzdYd1g08Uuck3zpjHxOWFSk0 +TiMLmPo0HbZkwqKG7rcJjXiffLh0ssmKCR1tUX+gCe9z1ut2a+9nwmJNLZVu +ZMJo7bptg/Va2+Mf+JJHGh6O3hSzZcKKTVc+yzXjfDj7wYXjdkx4Xrbfrho5 +9I9UWoc9E14I6o0desUjwW7qY0aOTPDxXXtb9DXen/Ys8sw+yITcOAf7DOSo ++91yrMNYz6dFuqYtPKJzNFo40IkJhe4bVg4h70vWYQwcYYI5R1IjupVHxK0G +Lfa44Pev4e9Ue8MjKfeLXzx1xe/Z6n+hBXnF4zwPxaNYj1bltyff8kjfrX6T +eHfU5x69tex3mMexh80FPZhw2Sq7sBh503OD867HmfDEPczUpo1HqOBzv96e +wP6Ra/st0M4jj4Q3RRl6MSFizp0nycgR1+KtHpxkwuOSgbgNHZhPVwMsZXyw +Xq1PQ78im9kyw8/9h/7wSz46ohP9aLfL4Igv9m+h3EPl9zyi2htx1vYU+tHz +8q+vkLmhESYNp5nw9O3sNSc/4P013xfWnGGCSNh0Evsj3h/+HD6SFoD1icvg +lyJLvHeslg5kgnUmo8i2i0ecJ87uDAxiQs/5TU7C3Xh//dYkNRyM633drJyO +zNh7YJZNKOoxarGEaQ/mx+A6xRfnmNCm+054GJllHxK45gITxopOSMV9wvef +1Jt7L4wJM1qndLQ/Y72G/qtlRuD61n4+nchi17cUhEYyIU7+d2NAL94ft1W+ +G4tiwvVZPnryfVivnz9XHoxGv+4QqapD1nbsz225xIQ7Qen2R7+gf14tcDOK +ZcKensNsqX4emTx3zDIvjgk5H7b0FyCvVV3iuySeCfkO1k3WX3lkZuKnF3FX +mHDUNqlR8Bvut4fsELmGzz9b3JeK3CddL37yOhNUo/sp0++4noXUn74bTGjO +m9z/E/lu232mxS38XcOuLH4A+7U+zbkugQlDC5ZorR3E/jlI/Vxzmwkp27fU +diM/GJ6VeT8J6yHw0ePcEI8YFUZe5SYzwU/pi7rSDx5xX1hcFJ3ChNtfXSRe +I6+xvi0hlMoENVMvwf+GsV+mzK54pTHhkbv4PN5PHhmzf7ezP50J5cc1VauR +DWebGVllYP56/3Nz+cUjtkfKnRozmbA+1aVScgTnJSmjcoMsJuxWCFUtRBa/ +8mVrfjZ+z8o9hTaj2D9RpRLLc5ig8+XTXpExHrFOfCt06yETZKK0FtxHLj1h +oiSZy4SH1vu6d4yjXsu54SF5qOeY7c8nkL1M3BdN5jPB+7hC4+3fqKfnmz8f +Lfj/vP5q8odHgmQrP34qZILsrljuD+Tj1Lf5+54wYelPLdf4Ccyz+GbPxmIm +pLl3vtKbxPtGWLiEUSnud9mFHb3Ic3uXvy8qY8Izrw3fI/7ySPadsi7lp+jv +T2RvaUzhvFRrxU4tZ8IOS2mnTuTmg1LnZCsxX8tWmwZPY/7E/F4eW4X5uOvC +ppX/eOS+G2fmnBrcbyTTtgV5enHU/LPPmNDyof/iqRk0WdDruONPLRNMKkXa +lgjQpPBHTr17PeZv4UndBuS754N9vjxnwoL1RgVegjSZ+PfT6kADE971njTl +zqSJYIa419tGJhxSZv6tQf7v26dK85dMgGylSnchmqQpRm6sbcb9j1eksIRp +otXNFjJ4jfmZ+DGxHHn2+ZsjRS1MSN4QkecsQpM9qcs46m+YcDOiuUdqFk3W +vmg4ef8tE2oZhStKkYVjk8SWtmH/R22MODSbJlW38l8ltuN+7oTPXiBKk/lX +ZV+xO5lgKBJ2swg5X+vr7Lj3+D1uplscxGhSo7vKU+IjE6TiO6TmzaGJnds/ +xoUuJsTAuvHHyO4JrsNCPeiHq4J+2YrTRD8zXODMJyZcXZElKj6XJr98jppM +fkZ/nPlMOx9Z4veyaq8+nPdC2wIPzKOJDPf5fz+/oP9EDfaJSdDEctj5oNtX +7PcR8YN5/2Nfzvmv39DP4/WmbebTZLR5oPvgABNuWYY/EFtAEwXm2PGeQdSX +wj+/PORZJzboHviB6w0m2B+QpMkj9uiazmEmjFw76TBnIU3umUge3/cL81A+ +yj8fWdfoYdebEdx/2FCurRRNpg58Cd01xoS/z24LzZXG/4/XOL4aZ0J8T5Zb +AfJ5VwffbX9wfurh/rKnaGKi+vJZ4wQTfrZORUswaOJRQm/d+hfnz8Ztm58g +D15ymvNiCvXVI8c9xKSJl37xjC3/mHBR6czchSyajFisVKqfwQLVly5UGfLP +wKaYTYIskPzxS9uZTRO1w4UqdTNZUJu7yJvBocn34slZm4RZEGM61lSBrLQu +g6oTYUHBQKChuwxNbMrarTfNZsHf503NMrI04c+53VknygLBZb2+tcj5MyUu +b57Dgt3wQt9rEU040dqhz8VZoGsVtWgxlyYNd9VzTOex4FG1BrMJWdFASqpR +ggV1jbWKp3g0OeD8Pdt8AQv0n++0Wk7jeau/DGqWxOelP959g/ytsPXSTikW +JIp5igfzaXJw8YK2VmkWxM+TjVBdTJOnSbH7LBgsqDnftewjMv+Ep1QHkwVH ++us/RMjRROh9zSwbNguaEj7nrFlCk78qierdHBbMkNNK6Ee2fS553VGWBTN/ +Pk+Nl8fzWKi+pn8RC3ou3K83WkqTbT5MaVceC4pP9IiNIP/n83rZMM2CYB1v +x6RlNDG87ufluZgFyi6e7eYKqIejS6b/yLFg8tYnl3/I8jE9ZaflWfDLpZGV +tRzfd7/+ycxlLGB56ndbraDJuPvP4XMKLHhhqVc9R5EmV6+62M1bwYKddS1V +Rcj/hrbOjVVkwcKjEl1OK2mSaJz1k6XEAtepEQZLiSbKvgmSiavw/UoXjzxD +PnJS01VehQVCZV/fnlxFEwOlMMH7qri+xzz7pco0+XMru1lNnQUlC4RF3yDP +fF3YWaTBwph+WxeigvvtLl1soMkC4c2X0lar0oTZ/yq5VosFJ6N0k3qRI6Xn +2W7TYcGmhV2PL6vRpPLm2b3v1rDgesH5fmN1mmRWGIfZrmVBwkHQHEde/fro +n349FiiKSdxO1aBJwrKFdzyABYy4f/J7V9PERc743OQ6Fpyf5tTO1qTJRs1F +6UHrWcBd7xZaiLyv/YHwPCMWPHSYYXdEC887fuGteGMWWB/p2MvRpsnSKUsP +2oQF6QfEXZ4jW6UnnM3YyIJrFteun9JBfzAaadDYzILDLhf7lNbg9wce3UO2 +sOBx3m+zj8gH5ZfKbN6K57un83W0Lk30xpVlW81YMOZj4rV+LU08G5L22W5j +wZaNhuqjyC2Rl15/384C099t81L1sN/lqTDvnSz4UEqJWOjTRPLi+tNCu1mw +q02APQewvs3KWRf34P4i7m4qQf5v6hdb1gL3R0tcOboO/UH5TmX6PhZ86zYS +5BvQxOzyzozVViywkt91/jVypN2ixgprFhQZblgZuh77+Q2lvM2GBZduyA9q +G6J/G+5seH+ABUqXpuq/IyvNGEh3sWPB3qjW6gQj9HuP8fIJexYUzix+v92Y +JiB+gXXeEevhULBQZANNTm15cp9xiAV8xVbHQmS54tv+dw+z4EI7t8XFBP12 +eEeUxhEWVP1OsOVtpMnDi186Kp1ZcEvCds7r//EGr8M7XXH/Oa7NoZvwvF4u +VP3khnrzaspfs5kmm0bfaJ9wx36djCkYQp4Z+s5fyIMFIj3lb+5soUnuoVVC +ccexP1oOSe01pUlB4I/qJZ4sIGcj3MS30sT8ldqzfC/s75t6vQS5wnr+bBNv +Fhh2Bft6mmFeqt8MeefDAp25bkrLzWlS7jW83tmXBf/1Cfx7j/zWTA6m/NDv +1mwZiNlGk+vjW3yjTrNgon3PH5Pt6AcPz47SZ1hwJ2HV4mnkr686snIDsJ4O +74882kGTYwUeqRsCWWAx92jT4Z00eVBv+aEtiAV+Qd93LNpFk67g7N1uISxg +FtqOvkI+7xw8V/Ac1ivxXe753TR5Pm905uXzLBhdbXNJfw/281xKZ3kY+uOp +qYhRZE3pGQ9Kw1mwzLcsNWMvTQY66hx3RLLgot6DD7YWNBlaEWn5JQr7u71N +g7kPz/eVbfSpaBb0Hdl0rwG5I9d61sIYFryfK7Y22BLzpfhqSVosC+Cr3OAa +K5qc+bwyV+8yC/Yr3i35ibxaU/Xb63jUu8jVjHRrmvhXl9o5X8X9PpxdcGA/ ++mX+N7bgdRbkus7oYdjQhKXxcuHVGyw4cDpMsRH5RECoqfItFtSvyosNOUCT +4U/yz2oSWJD06hxHzxb9/HFNoM1tFnx6uuDpKLKezdkz40noJxaWwfftMN/M +jpZGJbPg3pT7YUd7msyYnbp22V0WlLP3H5F1wH6gDKZJKgtSaaWwFuQVbIsZ ++9LxvC98r4twpElJoZDhr3uYT83JCsYHaXL5vnVteCYLfPztUqeR+4v8Lspn +4XocFcPHh2gSnfffVZLNgiEtmRnuh2ny6pT7p3052N9uq9qXOeH5CZ48NvqQ +BU5WXi1dyMfWpcLFXBasuvt38NoRmogasbevyGdBw/iLpTudaVK3pD+l+jEL +1s8c85/rQhOdOSt17Qqx3wLOjFcjP1n+T2q6iAUqKj6RZ1zRf2q8la8Vs+Dy +22+GOm7oHyqPIleXskDN8BN7BNmnvmbVqzIWTBm7zc86inoRaFro/hT1XhS3 +5LA7+oX5Z525FejnZw7u4x+jifV6OuVeJQtmnf6e1YF8+fjN7SbVuH6S2uJ4 +D/TH0OPre2tYYN+94fG24zQx1iw5GVSL/aWl4Sx+gibNRrFD/Hr087RZ+jXI +Z0IlM54+Z8E77XrVs57Yv++33TvQwALeVJjxWi+ahOq4DPxrZMHw7N3//UaO +ve57IuElPv+fRsOjkzSZK3FNX/8VC4xPrjY46o31f9i19cNrrL+CY+tyH5qc +e+iS5N/KAq/KFxd6kXeY7NLhvcXzPeNnk/Qf5ntJHvX0HebFrVM79/vSpMk5 +TdOunQVxjp1ObD/006INN2d2sqB0cVpCK3LLoqwNKe8xf5S+jl46hfMHb2z1 +ho8syOvKdjE7TZOxHTrO/V0s2HZbWEjcnyZXrOI+hfWwIOzN+JNnyMJD9B2l +z7i/sUuxwWfQj15M3H3Zy4Jqz54IgwCaXHqm8+PEF1y/dTT1H/LLir+nmV/R +n2+1dhefxXk623JH8TecD6wv6f0XiPkd5uF6YIAFFWkaTzSDaHLtsNULoSEW +LJd5sXcU2d5R/Xj6D9SHlSPjUTBNWnOkbbb+xPlBas64ewhNdodzon/9YoHB +eN24UihN6g1sRa+OsiCtNIc1gKyoLvhMbxz9UvG5VcY5mtQ2sF58+o16mL30 +qdN5moREVTDDJjDP+I3Gyy5g/whxMlT+Yn/ueDnQi/zq+Zqgt1Ms4Pynk58S +hvqIXZfs/48F4n6MRIdw1A/bZM5SATbkbvDMWBxBkzJF58IGQTZ4Nx94242s +l1ad5SXEBg1Wn3xSJOa7n9e3RSJsSOVJx9tGoV5TLx+tmcWG1pHxZfRFzAOt +9WvcRdlwNP1Gx0dk861XtrLmsOG1xfyHidE04TIfppeLs4GlcCD9wCWa5LVm +bnGZx4bOdVfLeTE0mdeWrEnNZ8Px1mdTH5EzA/OPkAVsmE//3Xc7liZZhtOf +jyxkg589tNnGYV4mXEmXlmbDtr4kX/5lvL8sTcojFBtmTCvr9yAvOaMp5sJk +Q/6M33LJ8TT5YO2ZymCzIcZceKXjFZrEhXhHVHDYsHv3wT3yV9GfG62Lj8qy +QSxwWXIfcj1toC7DZYOJmcXC9Gs02XrcYPQZjw231oikHLmO59fo+8+Tz4b3 +TboWijdoEm42Z8diOTaEJIgpDyKbc+f9aFrCBjU4pfDgJt53fG+3nl7KBp8d +SUYet9AfHnaLrFRgw+qzoUHqCTTZtXjoTPtyNiw4pdM7hpyq98nwgiIbev4+ +O1KYiPoO/bBdW4kNLeUg6XebJtMXp+99WcWGhVeyO/SSaBI/w8b0igobmk0X +1wncoYlp+CIdEzU2tJekt1UiX5zad+y3Ohu+1prPO5eM/aik+ittNRsEreQd +N6fg/0XLyyy02HDmoNaHeXdxPotc9kZMhw3yn2L9mpHj6wO1i9ewof/NxrWX +UzF/u4d7Xdfi+00d6X1pNPGeFf2Bq8+GC3tGly1Kp4mDv//iZmCD+8LZO7uR ++UntD4MM2GCWkpF09x5NfrytiNA0ZIOmzqCUcwZNlifuzv1qxIbuWe/vrcrE ++SrkofytDWzYsOW8wwhy7vKxT9s2smHe1ul1hfdxnjaAIeHNbPCy2rz+dBbq +92K2UdEWNlg1nj68Phv7b9Dui9tWNojPSs2Z/QD9xMjnzWJzNrxwaV7UgDx1 +acHCd9vYYO4h8SAmB++DvZuuR+7A+l9ycbR4iPOBnaG74S48H7PfetxHNPmo +K3tpYjcbejWe6n5GLioemZGzlw2v2lr2Z+Ri/+t+LT60jw2B7YYpx/LQ35bL +Vi+yYsPV9zLztfJpEjD7vkyrNRsMYlwSppF3ORWSCBs2PM8x2FH1GOeBEduH +RrZsUJ28vyK8AP3Xvnp4yo4Njdoly3YU0uRZkIh/vgMbksB/E7sI5z9tg31H +D2L/fhOM7kLWPXE1cNlh7Afenr9pT2jC01Oc7HJiQ9rzC+HuxdifOeyn153Z +MNmXuU6rBPNuOqhllyvW2+M5Z0YpTdodw7TmH2XDiNdv9jPkxXpbv9a54/Mi +oH+xDP12eOBrsAcbfus9PLeX0CRq6oLOuhNs2GS4f5z3lCYxv4ze/fVEfRvt +COtH7vHWryk4yQbD/xINH5bj/W7DFSFPHzZIye1a7FuB+aN4LFrFlw02EWeW +GlbSRFz0m+ugH+pRTHXb3Cq877yWv5Zxmg3x496JrcizrhhRTmfY8KHYQTqx +GufhY4e75c+yQaFO6IFTDfZf3IPpT4FsMLp62F3tGfrJJn3nO8FsKLifsHsK +WeGbxjK7UDZ4xhba1dRiXn3J06DPs+FXT1VsdB2uV/sx5uMFNlzSff3dsh7n +f/m3BonhbNAyGTki/5wmQfdLDA5Eor8VaUgMI3/lP4rhXcT1zNPePXlBk0/7 +2zS6otEfXlrWhTTgfW7rLoWkGDY8nHega1sj3r9GjNzs49hg2l25SLYJ/cyp +QWhJPOpB5drZL8ir3s0f6L3Chu/9Q+K5L3EeDFq1NP0aG1KEWkv8m2mypmrL +I+cb+L2BVnGbX+F9UyQsWukW+uOJmBjGa5psqBcvH05gg+23CwU9yPsyRgzz +buP6YjuEHrTQ5PYOR7bPHTY4Tk56+bXSRPBcgMHaFDYY/4qbv/ENfi/PpUQg +lQ1Zyiovpd/S5LO4SVh1Gn7/386CbuRkc63MsHtscL2XWZP9Dp+fdYC3LRP9 +M/7+lF8bTTIOdPdRWejvK4b3bWqniUByt2BnNvrXm9APjA70T6WgY3dy2DCb +fTbsM7KVx1e1I4/YoO/9Y/+jTtT3H61NKnn4fGCPRcB7nE8dYnJ/52M93zr7 +mX3A+56T7HFSwAYnmWvVsh/Rv15PBJ8rYsPSGf5a35EHzpsNmBejf+uvaC7q +osnKIP10Vimudys75nw3Tb6/GizsLmPDnB8yp/b2YP/dDuBmPmVDx9ygyKWf +UF8rZNo8K7D/34/WjCG/qO7u169iw5JtgQrVn7G/uv9sFatBf7Nb+yiuF/8/ +I0S05Rl+D1PD0bEP/agkg5VYh3oL9NXX+IL+Vx/l7/ycDcqENhDuRz2O7l6j +2YD9PqLl2oK8nSNvOrOJDat2NJOUr5i3mvy8xpdsEGL+0/X6RhMZC/fjN16x +gR/W1GX8nSaH7mmcc2phw9Z/e7IZAzRZdyT+1+o3bNjSfDflC7LgcFGe0Ds2 +7HNtqCwcRP/LqmpobmNDtOFH8bAhmtgs79S73cGGvW8GTln9oMmk8FIR9/ds +0Hkwm6k0jPel8Wdy+h/ZcMDRoP0fsuHLL9fmdaMfxGfWvPxJE1ffzMPve9hw +dmRv551fqP8x7cisz7g/NQsZrxE8j/2P5/j3sWE/oyzIZBT11r2py6yfDV+O +3qA4YzSRamJL0N+wXxgzmweQnS6Yxv38jv75S+gxGcc8jhA9UTnIhryxR1Ux +v2nCPOqZcfkH1keWP33wD97X3z9e4/STDevdbQ/oTNDkcNK4nO4IG4KFgr7P +naRJ93XLQxJjmLcT15O6kOOrxGb2jLMh7tSTs3l/aXJfVfF3/h82nK8eCT8/ +RRMDiT7jsEk2fGbue2o9TZObSXZDNlNs2F45xVX9h/P5luph9X9suCP3M01k +Bp+sCNHeKibAAf/bG63ake/29Ah9FOSAWxal80CAT/4tGJDOF+LAsXpng2BB +Ptn/1i8gXIQDRkGWnvtm8skC5pMN9rM58Nv9d/MqIT7pf954WEeMA681dlkK +C/PJRfGeTwvEObAzMGheO3KmiGxx/1wOrKSufn8gwif3he8OPpXggN3jlNGQ +WXxi63bX79oCDoTolihYz+aTh8T44PGFHNgf+vOcmiifyF7OztgizQGZkL0L +xcT4JD9Z1FSewYFCNcHaj8jfi05tmsHigHu84L3Hc/hEs1I9uY3NAWaVS36k +OJ8oV+/ZlyfDAZXOHYOOc/nEpUvC9eIiDkyK129bO49PmreHdDjzOLAv8vNH +KQk+GXP/lLaBz4Hq1Pzr35H/ZO9oXizHgb7MbWcr5/PJlRtTe2fIc6B3qjb2 +xgI+Wd09Z23nUg60zlJ7dUKST7KM0k4XKXBg1DBxrelCPulO+yt7ZQUHVusu +eb1Eik/OiapxvFZyICeg5fI08rIznl47V3HAK78y+I00nzQYDK5SU+FA/zmR +2w8oPrl1p2aDpBoHDuZmfTnP4BNtCcXSYXUO2Ai8tLJn8kneAuOYl6s50GUU +MKXL4pOj5lCTo8WBmY6v6ig2n7REGe27pMMBLbP2yh/Im7PPbDmuywF9wfvf +6jh8Ipkpc2unHgdun7fST5Hh4/xiaLYaOCA0PVXmL8snw08XH2AacCAtOMV1 +3yI+CXX83DSxngNROw+ZaHD5pHEy93anEQcUM/eYz+dhvSRLm8kGDsS0Xwj+ +huy0R9EheSMHmvSlv1TTfBIfvWL3uc0cOLt+jncSn0/U0vvSXEw5MM8mQOP0 +Yj5JvR1utc2MAzXMcN4+OT4puGV8bPU2DggKg/bqJXzi8GFdH2cH6q8qx19S +nk9iy++VCuziwKM5Y78GkXMr74/37ebAk1j6cv1SPuk9c/JSw14O7Fi58WDa +MnxftnpU3j4OiDwIcAhW4JOBpZKDN6w4ECb88aLdcj4J+6ibHbSfA6JLfL7p +r+CTC4NdzS4HOFC10O6ErCKf6AQpWeyy44DV5+wVk8g9I2YGeg4cmF98csG7 +lXzSlHM8culB1OOzhiWPlfikdlPN2gWH8fw21h2OW8Unye7e5pNOHOgM9287 +rox6Hs6t/uzMgR+DM323q/DJ+uJ7iU2uHLjX5rJJRZVPot6Hvn9ylAPXaxtN +5quhPkP+O5N6jAO7DQ28hpCdBXJCYo5zQK77XXODOp8kFlsM+3tiv2zM3J+l +wSedRneIy0kOeCo1siJX88mGTcUjFj4cgN17hdw0+cQ+/lXEBl/cf4z1oq1a +fFLJYYZrnOLAs2cjh5S0sd97C4YW+3NAs0+ta54O7lfuc4FkAAcCh5QvDCEf +W/a8TyCQA/8NC9g3rcH92d70Gw7igJN4iXOOLp/425072RXCgQ437+RLa/lk +d0fx25fnOFC8e9PcE3p8YpN8JLH8AgcSF2y8u0ufT05mP214FI76+nvhqCbw +yeTCn/YpkRzgBsk7sdbxyVkxxQPxF/H9cqoxk8j3vydUnL+E/eJUOdBpwCd2 +q09H+sVyYGLolzdZzyfhQePk6GUOGNu9Ub9jyCfz4nUt7a9gv/sF0yFGfJJi +ftp6zzUOXBGV1ncy5pO6RwM1m29gf32+EbFlA58YfHlyDW6h/02qzVU24ZO4 +1exWjUQOfDAeLlm4kU++ien8tyIJz/PVt4Rx5JHhLaF0Mr6vVOdR+yY+8UkI +mmLc5UCo6uh42WY+mdUn2TkvjQNqrqpuyVv4xLVMQV7kHgfMn4hS503xew0n +305lcCD6v0tDrlv5RCm3cHT0PgdmsD5NbDfjE99j8X6D2RzYJE1paZnziduM +Gte+HPTDaf1U2W184jXHt/bjIw7EefqYzNyO/z/QG9WWx4Hw5W2cfuR1Q2ue +vn7MgS0ffOjGHdg/jVnWjYXY3wfdLfJ2ot/oeDjWPeGAZHJLxfVdfPIisvBt +VQn2Q/jTA2d388kzs4LHT8s4cF5ui7LTHj4B+STB0qccMA2KUDXfi/3Uea+w +qIIDx1/dPKRpgftxEul8XMUBw81xjYv28Ynoxy8ueTUcuL86/IiIJZ+InQ5x +elTLATJ8TWsQ+V7Kwlc59RyQ+PpOu9WKTwQ+VKY/eIF+fcvWrdSaTwxbGway +Gzmw4vam1rv70e9tDiZkv+SAQsz9Y1E26F/HSWn2Kw7IKtwB7wOYRyqSWx60 +cGCNguF6W1s+2fPx4oacN/i9zuk+m+zQ/74dy3n4jgNK7771qNnzifXnr+dz +2znwxU3urKwDn8w9p/Iyv5MDljouO2c54n4e+YYWfsDzsezYN4ys4P4vs7iL +A2LCkXHtB/lE7/vPdaSHA9t8rwlVH+KTT6fCjSs/c+CQNCftwWHcb5Lgk2d9 +2M+6CmeuO6G+p8ISXvRzQNz1fXjIEcxLG5uR5m/IGjsbjjnziWrRo8K3AxzI +0Eg2tHZBf1ckQ++HODDC/zJk4sonP/48ufx5mAPWFdpN6m7Yb9Hvs77/wn79 +8fAz7yi+77yN1sgoB5ZfdlWe647nc8tL7e845ntu4IM/yJwnlolCExzwtZY4 +2HsM1x809p/7F/03f/m2Vx58Mu7h3kRNc2Drn6Fj5DifXMuYH8ubIQOzjvk8 +u3+CTz7LHahbLigDe0517bzuySflcfHHNYRkYEu0AeO8F58w3w9FgYgMyKk9 +ljh5EvUyO4m7ZbYM9P210HP05hN5kz7+XjEZEL9hdGeHD58k/P191UFcBrSa +Y/UM/uOT0az5wcfmycDBE3bzVXz5ZJPk4U+n58tAtnMtk+fHJ2xh7YJwSRnQ +zPu0R+IUzhPRJTOuS8nAtG3ji2nk6q+rStMpGeDHJ/83eJpPXh2r+1HAlAHl +SP/97/35xCyn5soztgxUxfr6NJzhE+8DdvlvZWSgUzy3vjSATxbZtmzsXyQD +wy6Gu7LP8klwueWOCZ4MiIIJlRjIJ4Vlyq/mLJaBzCXt86KDcL2yqFrZJbif +Zqb+2WA+ebszd7XyUhkwmiebejyETzKgjb1eQQaWF8zc4BjKJ+ZH13rtXiED +zuVfFu05h3k9wdp4ZKUMPFH/orTxPOb9isyY06uw3oqL/q/iKo/n6m2iJRWR +FKn47vfe72JXqSSMJUp+RanIkhZlFyottChaiGghIaVCWlBIxKSQRFkKFUUS +KQppk97n/fN+7nOfmTlzzpm5wYbHiX9s111zSo/g/erqD61IMi+D35/MmMOC +soiUbF6UAE0mSFmU6JP40fxLSieIv7Oq/Bvns4DaaPN0QjSJ37VDudeABSuP +G+r8Js99JYtnSy1iwac0ueovMQLM1NpZNcuYBRc2tFxoPynArT0Wr/SABfWR +D268iBXgseb+zdZmLGga0z5UFSdAwyl5npssCB559jtKThE+1dd3h1iyIDfX +QOf2aQGqnD7ScXYJC6RVbwgyzpB+/5y6NseaBY/4T1cknxVg+/Nsy6c2LEhV +uZMfF0/mCy8t5+NyFnQ5ha09mkD2T1Vxwjg7FjDe9rP3nRNgNW//b+4qFlxt +tLLankjOV35sXrSaBdome856nSd8aLg4Z91aFuh7yPI2JAnw/Pwvk3Y5ssCO +Vupcm0z8jzVp/VknFpx3zetYniLAlU0LdPNcWLBklgLL8gLx04HCfY3rWfDV +1/CkUaoA5cS11kMbWPAzyslE/yLJf3P+aeXNJJ+SKInWJaKH8tvO+ltI/m5f +ljNpZJ9Mnpi2xoMFc3rP32JfFuAY/8Gtu7xYMNKbv0zligCN+u9mJfqw4K6M +CzXlKpmXExP97vuR/P9dnyeTTuZZY3P2u20suHe5PHxshgAFlwsCpYNYcLOr +XPHP/59/77oj3sGC40+eNg1lCjApav3O/4JZUOf761XfNTK/F9+8G7ibBfYT +vFV7skg8i4y9CXuJHtrh7PvrZD95dbK0JJTkuzVxedsNAZaczDr8YT8LRCrx +5i03yf4qWFQtH8YCjfA1OxpvCXDRwYhTcw+zwND95/tn2cSfGmpbnSNYELs/ +KaY6h+xL2x2vhR9lgUP+xl2VuQSPYa9fN4+zyP++d8rD2wKU5i2pbo5iwdT9 +L8biHXJ/nz5vXAwL/q4su1ScJ0CPs7t/asWyYGml3cHCfMLfgw72jqdIfYsu +J+cXkH1yxcy54WdYEK/56sftuwK8/2o0PieeBQ3qyidzCgUoo7fyQNs5Frzp +DNxy6x6pL8Hhi1wSC0r5M/beKCJ+dtLhrUEKCy6X8WuzigUoqk1Y45HKggdl +t9dfuy9AL3BbFX+JBTnz+3QySwj+k4dfVFxmgYrdgHFGqQBHT19sG77Kgj8O +7VHpKMB1ftd8RZksMLrzZlb6A6IPL4dDDlksUO4Y33W1TIDjzwxyj99ggV/I +vm9XHwrwlc4j8+JbxH8WeCxKfyTA/sJp/X05xK8+dFakl5N9vFckENwh/uan +EptRIUDmjk3r6nyi5xbO+cxK8j9k9oR3/C4Lni7hfbj2mOzjIz2fS+6xwPTn +Iv/rVWS/C/9uOlTMAkeIN7j5hPhd4TyeeinxzzN2FtnV5PvcH0fcHrBgV0R0 +TO5Twt9HYbvjH7Igv3SbWl4N8ZP9gu+15SzwklHrLqgl/czm/5nwmAUHLLK/ +33tG+rGxOtLkCQseBq2yKHkuwE/NXum7nrJgU66o8UEdOZ+wbHluLem/ge2V +8noBOmwoPPD5OQsqXL4WVDWQfU13jImogQW1sRrytY0EXzOfYxtfsGDGZuZS +/QuiX0Vrt5QmFtw/MHZP00uyv67seviqhQVh2e9PvWkifjh64s6MNyxY39Lf +394swNXLomevbmPBwOjS6I8tBM+sucan3pH+mKr4f3klwNDG2qa6DhLv3a64 +wddk3yi89k/xA+HD/LM/f70R4IIolXzbjyzIwLiLY9qIf5W5/TnZw4IdSqdO +THwrwDSF5md1vSxQ6ioqVnhH+ruleo5SHwuey8/WUWkXoNS/Y6LVX1kg3qP6 +gd0hwG0rNmXFDxC+mCS2Me8FeGBqeumrIRasinyppt0pQEfjK5s5P1jAuTGU +NO8DwUvpZuLGX0T/U1U3mnQRf5kybWP6HxYYL/bxJqMQEwb5RZ//smD2oGKh +XTeZf+XaV2ePYcP0Lq1lTj1k/685Ru2WYkPLxB6++ycBbok/PAel2TBvo4eR +f68AD3/b9nLiRDa4cuqTd38m+8nXVHlbWTZQ4Tbmh7+Q+di75WWCHBvK/v3V +iukT4LsD0+d2TGaD5YzJron9Arwa+4/RVGRD+/bUhitfyf64eNf1ndPYYNHR +Fp3zTYAPZRsqHyizAZf2x9wfIPjFbto1eQYbJuX/fFk1SOZVY2iJ4yw2PF4p +2PxySIAhyjsTr6qx4ZbPqfnvv5P9uilVfojNhpUBQXZfhwU42LtyuhmPDXv7 +e3L+/iDzakv7nZMCNlyO5zjK/SL6uHKx9y3NhghDA6tZv8n/5389hToiNoTV +bggR/RFgt40C74CEDc/d8af+CPkfebWFU6fBhq8LQost/grQZufSPIE2G+Qv +YuWqUbLPdMt/2K7LhopZt1U3/SP702KZm5Wz2bDCNDQvcAyFI5/iFNX02cBr +tkoIG0th+T7pyf7z2ZDzwPBhnBSFrwfvpD00YMMM6bB5aeMo1Dgy0jhzERse +PTYfuC1NYXbZnIt+xuS987XhR+MpnLP7tkw5kHhab81fTqBQWNMoxzIn9dfJ +vfo4kcJN6t+uBS1mw/W/joW/ZCj0WLaxq9qKDZ4nBtvlJlF4cF5YCW3NhjP7 +pew5chR+hKw5+2zYMPVH9hQ9eQqfyi2wbF7OBilDyXSLyRTuP3JoeLYdG9gF +ZzavVaBQfqjbInoVG9r+8Ea9ppB82h7qfVrNhqUl39v3KVL4WbDtvqUDG/Y0 +Gyuemkrq7VvanbaODY1LRcfSp1FYVnIjd6wLG6rmvbIpVqLQcv1Pltt6Nrj0 +hDnVKVMY+zlCVLqBDVp1Nnld0ylc+jK/nrOZDQ8PbVo3okLh1DcfOPu3sOFY +8YD1tJkUTpsSKP/Ogw0jzsIj4lkUDtYXnjf1ZoOVr/oUE1UKL7Wp1aT5siFT +TeP9ajUK3xr8SJ2wjfD7vv04XxaFP0yzZngFEr7VNvgfZlMYeDVer3Y7qf9b +oziJQ+ETb1b/7GA2bPp6WPsOl0K/nnO2CbvZkHxf8eBTHoWhNdvWjO5lw+TA +K7wPfIL3LKmx7vvYcHD5tsmjAgonCG/ZPj3AhjtFKVYzaAqjU1sWzz3Ehk5r +12e6DHkf/f5dUjgbZuW9uWwtpLB6iY5gwlE2cN5YPd4sovBkGHfStuNsWPOk +xmC/mMLFljPOvYpig/rtpF/nJBReHtr9bHEMGz4NdEzMU6cwZUnWjZxYNvxU +eLb5uQaFL+2nzOWcJvXnxyh+1qSw6/CkTZFn2bCzbJWcjDaFtSljDX8lEHzn +Wq+mdSi0KnMs3nqeDQsWXuoDXQqdPHd9fJnMBh9JZJOLHoUrPR8WW6YSfR2a +q7h3NoVHB1IXFVxiw/fBmoSEORQKYoO3iq+wId7uSED+XNJ/zZtGielEv8kn +Exv1Kfw96Xqp/DU26I5XVR6cR+Ho0+Yv+6+zYeK7VW1TF1A4Myjp8eBNNsjl ++v3SNaBwiuN6W48ccp/6eXfbhYRfhsfDW2+z4QQzidpmSM7PjfBYlU/4fO2z +3slFFK64X/yr6i4ber8ExWUbUdhyM97AtIj4l22dRZ0xhRyLg+LC+2zoWj9v +6YAJhZOmd1boIRvMmhovKJlSmMzWmJ5VxobAlLYl+mYUfih8oMSUs2FVdbjF +WnNSX6bSwwuVRA8XR+J2W1D4Se4EpfaEDcLYHXOTFlO4xT1RP/4pG24upCSl +lhSeSM74pfSM8N97QUCHFeHrP3pbbB0bnvK65ScspTDMIPTclEY2NBx2H5FY +Uyi7gbsz+iUb1g68N1m+jELH/t0TFFrY8GDgbFOgDYn/8I919Gs2TDPJfRj/ +H4W0QNliShvxU/SUvr+c6KNw9sDJd8Svor+d61hB4ffEytVK79kwOhh6WMaO +Qj1zc/+zH9hQ5GH+SHslhR1nVExUu9mgH7/TcfUqCkvacstTPhE81tlYhNhT +uLbh2Dj6Cxvq7/86nLaawp5Tk39l9rPB8d9tteo1FEZlZF/VHWBD7YlsmcG1 +hB8Tu+TvDrHhrSxjo+b4f33yNeEHG/wsrbrM11E4K+qFdNUvNrxZ8l+TjxOF +u/OC41eOEHyW+HLPOhP/0Q3pfDNK4mW3lpS6UGik6PB561gOlHFe5PW4UqjY +eODW4DgOHNh0XFrZjUI5bx/tAxM4EHJobpbxBgpl5sR6TpblgEvBpGueGyns +/uW+4bwcBwK8Lcae2UTw/LtBRV2BA2dgVg5upjD908jRQkUO/JJ7UPjZneDT +cbNwqRIH1JuD1GZtJXjs+JrxajoHlnR6vlzsQZ7TF671mcmBKVdefwr0pHCo +f0L5qCoHZMvHOqZ6UbhmwbOBWDYHFtPT+bXeFLq9ndzO8DiwrmW5+YgPhaoF +RifvCTjwU7e7VN2PwmKZV2NsGQ4M3FSNd/SnsD/WdU6XiAOFk3lVR7dR6B9h +JQ5V54Cyyew1dwMo/BM39Z2yFgdCfSKNuwMpPN5i4HRDhwNKP9zDZm4nevxu +lGg5mwPSu0b4S3dQKPlzPvndXA6oPDjG3rOTwqLgeve98zkQ9WbJjqxgoq8g +t0GVhQTPyTskrbsofOdbbnl7EQd8ny9dOGUPhU1bDrrZmnDA77VUhuleChtf +Kpv2mXJAg/MmcHsIhdNzx/REWXDAtWzq+fRQCrf7VjhoWnHgsOY73ut9FMb9 +/Hjy6VIOeP05JD3lAIU5Dz7G+tpwoE1moaX5QQq3FixxnrKCA+ZeJl3BYRRK +WUV/zbHjwOptdZ3XD5F4rotWrLbnQFK6llnHYTIffZt2/VpDvm+OHZ0RQSFu +7PRNcSR4yS5SXX6E+Gtut7aFMwckIV5nDh8l82qlV/EnVw4Y33LaVnSMwtNF +/SpxGzgwxm151sBxCq/3/jNeuJkDt44etFSPInx2F+i/38KBmg1zzTaeoFBT +7+2vKE+C78arKYnRxP/bSk7M9+GAtckM54YYCtsPWn/r8OPA1y8Ve+RjKbQr +lGNiAjjQcPH778VxxE+zoiSLtnOguvb9m/2nCJ8nOPzr2cmBTeJ63r3TFN4f +9+tqwm5S76WxlUNnKDyz5Q9vSQgHEgJuP9OJp7BqX6/vz32kX3ISQ+8Ewgfh +mujMg4Rfosuy6ecoLHj0OMzpMAfg/hbD94kUfltRt0zhCAdWydx+zk0ifLQe +7XlwjANHw6urnJOJH1S0ueyM4sCOoQFhYgqZt1ulMjRiOEA7+HQ3XSDzzvXX +4/ZYDhQN71FQuUj4s83+QcJpDliu23jO/hK579vlWNt4DuTYbjl2Ko34bXXI +QtlEDrR/ftJWf5nCI7v9isuSOKAd0Xhu2lUKH8tNnhl6geRXWHlvZTrBW/z5 +vwWXCB88ekxPZVDoOSnVdegy+b5on05jJnl/6L51TjoH/vBrDk3PolD6b8s0 +/2scENiqmqy9TuG43ZEFWjc44GF2fcO5G8T/4jwMvtziQPKiqt7XNykMDpE5 +dyOXAzOeFLRysikcKzOuyS+PAw9KSuZvzCHz+cLXQd27HGidx/y+kkvh36Ve +XwfvEb7Hz2Y+3abQ+rpsTcF90p8Y7ULtPAqbZTyPhyDR04wN+UH5pH+mlMTs +IQc+bZvGLiygcPLLhkyZCtJ/SeSX0bvE3z6pTH7+mPiRqrJ48T3SH5NjqxKq +CZ/ch59GFlG4yuhx6IZaDrzZs/dNfTHhS29AlEYdBzZM/7JGtYRC1x/0geEG +olejM4s2lhK/yj3gWPaSA08tS05cQ8J3ZWZWTAsH1F7kWg8+oPDi/dxS5zcc +mNx8P2jRQ6KPwSf/abwl9Uery0Y8ojApbcqj3+0csDlsIfe8nEJnD4qq7uSA +XPzaPaqVZL84nOmd9JE8D9xa4/6Y7I8fFqf4feLAuKmJqdlVZN8QJReZfuHA +f7jRYeQJ8YtY+0fTv3Kgn7V235KnFC6aNa3w0wAHeGceTTtTQ/B3D0nE7xww +6vk5vaOWwrnVCz3jf3Jgq4bZUZ3nBF+774z/Hw4UYJ9naB2Fhbfs66xGOcDZ +8F9RdT2ZH6ukfPhjubB/5o0Q1UayrzllDP8Zx4VQS5ebni8IH1O+BTRN4MK0 +CzdsC19SuPnKsbbbsly4p9G3SbaZwo13WEax8lzos/bvdmwhenq0Ntp/Chds +cg62XXtFYdqx7vrl07hwyHOn5chrCn0CQuV0pnOh7EUKb3krmQeXyxcozuTC +mFs2vqltBD+ZAKcBVS5wJ9RrDr4l/mmiu/0FmwttFgfXW7aT+XXtzqFCHhfM +tG6MT+yg0NYz+3gKxYWSVxncvvdkH3B5eeywkAu/yipvmH0g+4bk1UFvCRdS +8lyy47tIfN1tQas0ubC6tUT05SOF/5L+W79IhwvvS02UzXso3OAithTO5sJe +E/2d5z6R/ZkuEE/V54JT4tB/X3spPOWbM/HvfC4c9m44b/WFwmUhz973LOSC +wnWR24U+CvOcn9xvMuKCb67V+R/9ZP/rcjpbAVwYP/f4f7bfKGTdN/bLN+fC +sIVlcOYAyddW2zLdkgsBjg0zxw1ReL61i3NuKRf2LD422+U7mWeBzK9IGy7c +N8JHBcMUXv2c/mL/Ci6ca37+bNpPsn//0czbvpILrycr2/v9Iv8X/O0JXqu5 +UDz/vd2T3xTuyDM6sMGBC+VKCVXCEQrD2619HZ24gGVRRYf+kn02w8VtpSsX +dlepidtHKXzQuWCdzQYunJmaOsVkDI2RS1KdrDZzQffT9sDksTQqbHBwN9/K +hbcTh21HpGicFi/cBV6kP+H7s5ykaWzSrTtt7MuFy12+YUXjafxqyy022sYF +GWXOS7WJNO7+09xnFMQFfbcvV0NkaDRRqtQy2ckFYYTB91ZZGt+63t5tupsL +6dfcHpjI0eh8xKPBIoQL4PxA7pI8jctUcw2X7ueC4el7jdIKNOpGOd9eHsaF +SwVZLI8pNAYv0DdcHc6FobND76sVaYzaOKnR+SgXYvy/q+tOo/G3QdY+90gu +zP+sMHBaiUbfpo+G/tGkfuaSwW9lGueYxcrvieXCpkuKUm4qNG733/0t/DQX +ZjkWL6uYQeM4i6DeuHguLMqeOENrFjl/duWf1EQubN23evNpVRr/an3mZydz +IUhOdu6IGo1vHk93w1TSr6kREZvZNI7MvJpfl8aFBfd1nWs4NHpVbhd2XuXC +mxu+efN4NLrsXJf9I5MLkT8uxqXyadR7oLta/gYXzgrmDE2iaAwxqZ8uyOZC +suaRVztoGmeEqw4uuE3iHZO2bGdozGG6vtjmc6GSmjb/PxGN629Pm+hVyIW7 +LjNuFoppLCrbZ3K4mAvrp4ZkCdVpfN4rm3ChlAuL4zJ0TmvQuLH69NTiMi4Y +3xhvKKVFo+O4sTdayrlwJXOkZps2jfbGet4/HxO9L/3R/VaHxlw92f9mPuVC +zdP1USv0aDyd5LvK4BkXVnxJvVs6m0Yja4v9TvVc6HrP+OnOpbFYZXvdvhdE +r1vX3bioT2PA507rtGYuuN68tlNpPsmvcv/nx6+54OJ76En4AhrVCrUL+tu4 +8OOVXeZPAxq7PrzJmtHBhVs3Dyn5GNJocXxnNXwg/iQ4IvtuEY07fnereHdz +4eC3J5H2xjS6XxXEnO0l8VxKEqtMaOKfSvoP+7gQrlE3z8SUxoN/rsl++8YF +2StBbnlmpH8qbybzvnNBcF5lpqYFjedXnzOz/ckFH3cN17TFNDY+eplx8A8X +7N5Tc9SsaCw9e8z0zigXlEID408toTFtWuOEoTE8kGeOR8pb0xj3S/lItBQP +Nq9tmxKxjPDl5bhLEmke9Ki9p8f8R+PlM2yH8vE8qJswuXrPchqx6G3mhok8 +sDCokxpeQfq/+XH8qAwPFm688jTAjvTHYo0gaRIP1PCfuG8ljW1ZMtYL5XmQ +zls709uexsOH109pmcyDfR2C892rST32rwN3TeFB+fdXOVvW0vgM/m6fOZUH +V1p/OH9woNFY1kqlcBoP7LMHkjavo7FZwXDtOmUeHJy5OLDTiUbOSucFI9N5 +ULTGs3WzC43mO7TvpczggbXpq7YPrjReLdJvNZ3FAyNLpeCtbjRqy/+4+EGV +Bzu9T17t2UD0N/BD5jiLB29sa319NhH/uFAyTYfDgz4d65r+zTTqd9eVNnJ5 +EN56sDxoC40/bQoV9/J5QFcPrvm5lcbwwZHxAooHuhO5YaGeNO69zqRW0TxY +aXzIapw3jTMHi98GCHkwWJyafsyHxil9NuWqYh74+f+8pOhH47oAN7tHEh5k +vZdbmOBP+j0adthPg5xf6uLLC6BxfyWsn6VF6tnpb5QZSGP/dWHHI20Sr738 +2uztNM4yK5scoMuDPRmdecU7aGx9erGDPZsHR2Nt11sF07jW0n5D9Rwe1MvE +pNfvInx38Ty+W58HM2lhjOseGgN3BriK5/PAMy1JpXcvjaKbf1ubFvDg8rfd +xrtCyXPLBdmjC3kwV2g5ccJ+GhUjPrUvWMSDx+OPB5w+QOP4f9u2fjLiwXzp +Z6FUGI1LrCsTk0x4cM/igubtQ+RZIyxkhSkP1p8P32ceTvyUmT95nDkP+qMn +b2+MIPXsCfmvwILU4/hw8pajxB90e4x8LHng0D3H5ucxGh0mT3/LX8KDk+8+ +60RG0tiXlKDXvJTkkxxSyDlB+q0zeV7MMh546QX25EbTeP21/BfL/3gg5eWC +VidpfH9w9tp/y3nwtLbWuDWW+NOTWTvu2vJAM22te9ApGh+L11sFruTB84/H +5k46Q+ptvVCraU/ydf55/eJZGv8b2i3XvZoH4w7Me2aQQGOlddRo2lqSf1zz ++fpzxA+idma4OfLgc3yQks95wheDFlmOEw/Gr0meNyGZRo+Lq6k3zoSfDp/H +X0yhsaX3xPdEV3L/wI+Di1JpvKfMHFznRuo1cshqvkj087WkQnUjD9pYV8N2 +pNEoozmm8vUmHkhM9sooXSHzZEV0WLI7D6ZxAo1yrtLIlEz5vX4rD/aOFQps +M2ik72loU548uPZvdkF/Jqln83HuRy/Sn3/6f2OyiL7uN9Zm+fBg4O7TId0b +NLZfu7MowI8HYXfPpNTfJP430Og5fxsPJrrq/tmeTfRt3r5mNIDw/90iuZm5 +NG7RjZCuCOKB2XLnZ0W3aVw5PyAoegcPzkTrLnHLI3ostb28NpjwY5PzzvEF +NJapNcbzd/Mg2efQuqy7RD8nspZ/3sMDS8b6u9094q+WR6sKQogf9Ky2+lVE +Y+oWluzhfYTvwzZ2F+8T/5ZSU7A7wIMPXi+VrEtpvE8taOGE8aDGOjFmEMn3 +j8XeXw7xAPablieXET/5eOlRcTjRQ8uOvCWPiJ6CXLqijhC8lDrchspJP9Yo +1rkc40Hhc73HqZU07tu7PVwnkgf/0qZ+/q+KRkG1ubTUCaJ/OZ2aP09o1NAx +WP4imvAneIHPtac0+pxW3Jx5kge3l7RWOdYS/n6OsNwXx4Nz9TVdss9plNZd +N7zqNOn/+qKH9+oI3q5Lt6uf5cFPLYcNPg00Bh1WfjA2gQd3dq1FzguyD9wN +aW05x4OQQN/2upc03uRZPMk9T85brygPbyZ+Pah1NCqZB+66t30WvqLxwO7R +GVsv8CDb1ra5/zXRx5S9e8wuEv6/bpO52krjMbFXNieN5Cc985/zWxpP2Z66 +9+cy8bfx+UXK7TS+0Co913KVB13c7SY1HTQ+CCtYfjeDB6bJCpERnUTPelav +4q8R/jSaXYAuws+FC412XefBBcmzkD8f/z9fXHY53iT+NiWILuihsX7WgSjD +bB68n9R/NqiX4Jm1bQ8nlwev7ki/0P1C4zblMeZSd3jgWrTzbV8f8Vu1MR+7 +8ngwqVOm4MZXGnvzzLc+LSB6nXLA2XeA+LPMhUe5heS++Zeeaw3R+NLz479z +RTxw2TVPuf87mWdbB2eF3edBwaTx4pwfxE/LE5W8S3ngu6xJfvsvwo99+V/s +H/DApij44fw/BJ9aXqbJQx68lMq1GRmhMVs9z1KjnActAyszH4zSaGhjWzmj +kgcPjohfHRnD4BWt5xrjq8h86B37brkUgzsUlXcMPuGB/q5bRSrSDDqFjqR1 +PCX53JPyezuewWdW3oX1tTxYF1j7I2Mig3NizfMfPufB7oQuxyBZBsc98Tyf +V0/46sI7YyzHYMudh54ZjTzYobPy2qTJDNJeCwRJL3mw9e6qxCYFBlc5Zpef +bOaB9Ie/7lcUGTSwmb464hXpb6e6wvZpDD7wXFkX8oYHszXyT5krM+i3wN5w +exvJf2fIDyUVBvkXZU77vOOBzDOnhR9mMDh2wPWNewfh/7E5LgWzGPRvt5ru +1smDKOtOt+NqDBqfzDNx6uLBIjlbS1c2g1NPnHde203mwcx1CnO4DPa+7POx +/8QDjRkfC2X4DC5ovxKw8jMPPk1sXfpWwOC903e97fp4kGdFlebTDGav4jnb +feUBdfqSaoyQwf1/m8xXDvDATmGxi4eYQd7X15T9EA+8Fw0fMVNn8IK8+t81 +wzzyf5B2nq1J6i188HzdTx7otBqc+6VF8O1Mu7D+Nw9Utl87+FKHwfOTGrzc +R3ggO7lr9R09Bv/NWTXHZ5QH89a+VTk1h8HLfyW/g8bwYcfu4+WB+iS/BFcM +keJDinLrxlXzGbR99isiQpoPsla1/XMNGIyTmbAidgIfLLPX+M4wZHB0acys +ZBk+PA/c9ub3IgY/GKZ9zJzEh8AFM4zfGjP4TdPuXoE8H97MXXLqERA8VK7F +VSiQ7yVSrdfMGJRJxoCXinxYsnUxK86CwagZmQ4fp/FhbKPSyj2WDB4/uXvJ +L2U+LP68bf+mJQwqPllqJj+DD/zKDVf+s2ZQ1myOFW8WH9xnfXm0wIZBfX07 +B301PlAGam/p5QyK03DnMjYfCvjDQ1NtGTy1MjVtI5cP+juPTRyzksGsBsV3 +e/h8CA3vmNG/isGn4XO1TlMk/+WKorerGVQ+pxN1k+EDO4ya93wtOa8sHq0S +8cHrqLZlmSOD61sWH+6S8EH58GKHPCfS/yu5XGlN8rx6n2+mC4OTVRPrBNok +fvLXiJT1DEYXS86b6fLBuTzvyukNDKqPngzdNJsPwX+7n0RuYjDGaOye8Ll8 +EFmk/zjkzuDF6huxGfP4MN5zilboVgbLvlaXP11A6ptq5hPsyeDp/rgZAwsJ +nvc25Ad6Mzhx0qKjM434EFMaJ+/vy2BdhNQsMOHDbZc//j7+DLrdpqo9TPmQ +nP+w3SuAwbuf2i7EmfNh0svpm7yCGFRL2JFwfzGpN4/93WsHuc9YI7/Hig9T +QPacTzCDVcGLf6tY8yHRQcbWfzeD7mPktyy24cOd1zZqQXsZzMt//Hv7cj7U +XJk0EhzK4MjFysIrtnw4eDZ4MHQ/g5HDay43rST3na2WCj/I4FK1yqJJqwm/ +zoHGiUPET256jTVZy4d/V6b5nQ1n0Pr42Z3bHcn7lv1PU48w+KLqIivLibz3 +eGx1/RiDv2s/DHW48OHsde32u5EMMlYlY1hufAjh/DhXcYLBCbrHTNds5MPp +jR5BL2IYbGq9ejd2Mx/mLqv2+xDL4KV/u7fWbiHnW71ODJ8i/b6ydYW8J7lv +zennMmcZ3GLRFLDMmw8juvEGrAQGk0pnP4/05UOzpLxKN5HBzZ5d3jX+fPBe +HBhmmcRgstwGS8VAPtxvHNrsksLg+C9KG+y38yF175XAHamEHy8C75/bSfCZ ++/Z69CUGv8wYcn63iw9aDv+UMy8zqBGraCrey4eeC+7XH10l+soz9w4I5cMP +7e3b2zMYLI2Tay3az4fJZ2L8/l0j/vWiO35iGB/SX3CSODcYnF7nmmx/mA9J +vpGjxrdIfRGDfZci+BDhYBrvlkP4mqkTPXCUDwEqt7Yeus1g25WUEPNIPiy7 +vTggPY/B3IzaojMnSPwnu/KeFjA467Ltfz0xfPA/WaI/WMiggsPd2cZxfPjc +EDOoWkzwdUjyPX2a3Cfr8dW8hMGHU8/+6z3LB97yci0/JH7VYPrJ4hwfjPzF +N86VMbj6hbHOhfN8WPNNeVvFIwa5RjrPfycTvk2fumuogsEg0d3atal8OPn2 +SgVVxeDhmwc18y/xoYO73sW+mkHpb/N6p1/hQ9/OaqOIGganqUbIB6fz4btz +iGfhM8KPrby4lkzCb8mEji91DP6ccy/U6DrxH9UxmVQjg5m/J9VduskHGydp +XPeSzJcNNSdkc/jQJZstPtVM/Ny8NC/gNh9em6Z1Pn3FYHr2RevXeXx4yDv4 +fWIr8aN/C5Zb3uVDW22/s8VbBlVqbcpy7/FBLyKBFdbOoI9CRgbvPh9Uzovm +PXjP4GL5WeNOlvIhP8wma2wXg1I7AxrGlBF8XheGmncz2LwlQi3oER/itjO3 +Ij4x+MRHt7WrgvRr7RLT6s/EP+OWqTpX8SG7pk1/aj+DlHdBY301HxZ6Z0Q7 +fGNQTnmtwrJaPsyZ7vHfxUEGGyymVj16TvxRrjOo9zvpz+rnE6CBD7r9H8bN +/0nysQyrKn7Bh9hnC/8d+s1gSs1MJcNm0m+t21vrRxiUOB/7cO8VwUOGMhH8 +I36jXmO2qJUPgx82HAkaK0SJabtm6Vuil2Zrs4pxQgw8WHHFvIPwPao4QHWC +EM/nHLxV1ckHc9tzM7bJCLEtXM3G7iMfRtUq9SsnCXHntdTQVz18yEvSqeVO +FuK6Wr6l+2dSnxF27J4ixNgbt9O/9fHh+GyvHS+mCnEpy//y/m+kngOCo7OV +hThWMcB4yhAfbCd2sGJVhDhw/VVw6jAfLsVc0f82U4gzV9StnPOL+PNz38aV +akL8eWZfXeUfPowJMfmTxxbiJ3/FYZdRPvQupa6r8oToJiws+z5GAOekhD0H +BEJ08rhlEDNOAJ5HHe5000KENdou6hMEwOl8NmWlSIgmMTt0KmUE0LDiyt9i +iRC3GVblussJoNB0eL9EU4gjMwN7xisIIDm4MyFeW4jjjt1/ka4ogDdSZ60n +6gmx4vzf3cuUBLDKXj9+1xwhZrGONX+dLgAzq28HevWFODe1aDB+pgCGtf7K +ui0Q4ouT32tATQC32k7Ofbnw//GSPHvZAkgp6ZZabiTE4dZZVfE8ASx8tji4 +0kSIqnda+xZTAtAp+nLKzEyIYeOdW78zAkjoUHcqtRAizlGITxcL4KyHzTMj +KyFaPg7kOGkIIN/k6sD9pULcdWjyTkVtAYgNYitNbIT4xHNraqWuAGYoets+ +XC7EBw0KqQfmCCBi19mYJXZC3BgaH2w4TwALtPceebZKiB6nEiU/Fwigb0zE +Qoc1Qjz8KP9uvqEARt+LszochHhtxUlRsLEA3EZevfZzEqLN9LpdBqYC2Jw9 +89mIi5DMT/Gtv+Ykft6mI1FuQny70qbmoaUAsjnmEzmbSDyTHy8ilwog2N/c +LsddiI3bPlWvthGAf/rwVksPISa2fc7hrxBA2qqh/1q9hMiNqD7ebyeAlxda +xu/0FWLPLkfHUnvy/ealcYrbhPjsqz8vdq0Axhp8/n49UIh6bn0dm9cJYMuh +bXOW7RBiffi9tIUuAjh8/Ph/vcFCvBOK7tPcBHA3fMjyxB7Ch8YBjc8bBTD1 +lp9AL1SI6YnWvyrdSbzVpR0v9wvxVnDl8yseAvjUl3t8X5gQHxb754V7C6BZ +xGKLw4W4d4/tta1+hF+/G5IajgjRLi40d1mAAKSKC+UPHhfipZqpdXrbBbBS +/7a/7gkhKn7VllUNFsCznOuP22OEmFL710V6jwCSpp9TPRMnxLObbtZ/DRFA +WX+Ah/UZwufOYK+3+wUQGzM/b2yCEGc1J4ifhwmAP+vbuKJEIb7TXKv4MJzE +O3d97c5koocVY5i7RwWwVHX/7TmpQsyGHs9bkQLwLTqsOniJ9OuWX0dGNOFD ++buYO1eE2CD/PfZyrACOl9xX2ZUhxG9Xu/deOi0A6fD/co2yhGiB99MuxQsg +b2OV+/ibQnRI/yp/JVEACkzg3GfZQvSsG1+UmSyAfXNP8s/fJnoePJaTnUr4 +eD1I1zNfiF2saUOFaQKYuX37ZoNCIdrXGkaUXxWAl/0AyhUL0XXmDe+GTAFk +Ka1e+q6E+EO+csb76wKwiZYfW/BAiP8x6ibDtwSw7NnJ3phHQpSpuDFX7rYA +lDQ2yntXCnHFsEeUIF8AN9fJbl3yhOhJU9t6USHB58yMf6IaISbPbAlwKBbA +6yxhs+xz0v/i5RODSwXQzrR8/1IvxHmxoQoJZQK47fzKqfEF4XuKS2RRuQDG +JbRNvt8sxLqUrwfbHwsANNKmZLwW4hq22bDsUwFcONW3+UybEK+c2fp57jMB +NJ4+OTW8XYiGZw54bKwnfuKwcVZwJ6n/Tb5f3AviR9GWB7w/Ej88aDyuvFkA +4Ucl1hs/CdFFYY3679cCMHYdu9fpixAvZlh2670l9cvVqqz9KkStuZtNfToI +P+PO8VcPknyCJi/M/ED4oLbrwuphIQr1rr/s7hbAMdWjpx1+Eb9xy1PT+CwA +P78BadcRIUZZZU7e1i8AmYhPQ+7/hPjqolJOwYAArA7d9NgmJcJlVZGTpIZJ +PLcjm0PHi9D47R3Oil8COKJc9TlKRoQ134wGUkYEUF1YP/6CnAj3CDuOffsn +gEO5CnduK4jQ/4PHJ8txFLDqB/48mSrCwjFXZ16YQMHDsDEdncoiTGrfPeu3 +LAWn+h55jZ0pQu28um9rJ1OwR9KSyFMTYdbZ9Kt3FSngO3bsNOOIcGmJlBFL +mYLId7HjtvJFGHHrR2HYDApKjl9ZHE2LcJNHhuCzKgXmBR9N74pE2BhjEeLA +oWBihM7fTnURjsmQfVrJpyBCekOIsrYInU3MZyxkKFBw9X1kqSfCtYJlm26J +KfgzcdWrvXNJPdHH8kSaFNQOsB/eni9CC88dSmk6FLgXfzzUt1CECgGnw/hz +KMhoa+JrGosweudembR5FHx8T13yMRXhzdjaa6KFFKw5N2VStoUIZzqZ+t8y +oqDK4ovrsJUIV9LxTgtNKXBsYl81WSbCPt20HY8tKPBjpn6IXC7Co0NLHjou +oWAtx5L/2k6Ea5aFWPcto0BVapmb1moRNheaTo1YQUF30v30MAcRRmXeZPNX +Efz2L/v7ykmEvdd6dpSuIfkvyt0yb70In+aq8zasI3inlfac3kjwdC0STHCl +YHjELmrYXYQ+834curmBgnIbB3snTxE6DiyzXudOwaroequHPiKcWGIQIutJ +we/hOh/tbSIce2gVr9iHgtUGu6uSgggeWiZGgdsomFkxskkhWITi4bwWje0U +jFFKMzu0R4Tt2YdHuoMpiHn7yPtPqAjrp0ddz9xLgfK+mg87D4qwZMqDr777 +KcidZVjw/bAIJ8trPdc/RMEVqQtdwUdFyLPpsxt7hIJLv5L3/I0U4ZD+gtDn +xylYv/fr7ogYEa7KWuWYFk1BjeKm3mmnRHjL6cKX3XEUnEl++eLSWRE2cE+a +2p+lIOU2wLxEEdqvyHGenUiBYmeWXk0yyY91xVI5hQKN6Qtytl4UYfAQPfH3 +RQpaWlQrxl8RoW3T2Kvvr1AwWnkhOD2D1Huf1qjLpOBFvbjG5roI//yITim7 +QUF1hnbt91siNIxfJ3M3h4JjCqZhl26LULnm3racPAp8TCZ+W1kgwpcOI29v +FlKwaQUIJhaJUPFbuGv2fQruRj9kl5aIMPRW81DeAwpavxzo3VMmwor9J7NK +yylI23Lw1MIKES48tTmypoqCfvePbPLjisp1ouS3NRToz+uPK68RocHyqp7v +dRS88ev/fbKO8K/Cfo/iSwp+bXJ0dXtB9DB9cK3OKwoKEwvL57QQ/uZ9ilzZ +RkGB4V0DuVbCL0jl7umgoDlq1sOudwT/wbOsq10USHxKvCo6RbhZOyDq5ScK +nlddNrjWTfg2/tsuuX4KZqh3L4j7LMK4xz97LQYp2CkqC9j3VYR+MZH9YT8o ++PH9+Be/IRGeelZzovwPBYZfCvM2/RShV9/4OvkxNERM7WpwHhGh9+ukhw7S +NPxJq7BbN0aMDzM52zJlaJibM8fAWVqMc3UM20flabh7VXh6o4wYP2RU8B2n +0pDbe8/HV16MLNd7i+5Op6Fit3ZNiKIYc5bpG7FUaXixt6P0pLIY0+pDtMM5 +NKwfcFqROVOMsVv/qg0KaFBfYxFRwRKj+5JlU7eIaKgy8/Lv5onx5TxKtU2D +hniqbPoURoyF873NnHRpGOracnihRIymdnPOts6lgZWdWOGlJUZv+3y+uwEN +YXGVHy/oifFo5rpv34xoCLI9MNiiL8YzrNtTD5uRfNUOfp+5UIxDeftj1Kxo +eOyc/cvZWIwFJ28G311GQ0ooV/6qmRif3nduWmdLg3+xnMGQpRjFTFOR1Goa +zv9ti7JaJsaf287PznakITVdVzl1hRjfjTgs3eRKw0hYxeu/q8QYVP1tMmsT +DcopZ766OYhx+YG90a+20qA2/+H6KmcxCjdDS4oPDQtvXZk3f4MYL3rgiEcA +DadDysOuuYuxekHuRIOdNFSL2+woLzHutpGWnbKXBtmVb3Mu+olxcELblN79 +NCzI/5LNBIlR/kWqRs1hUp/xZpdbwWK0cezxzjtGQ8KMF+XGIWKccOHku7Ro +GoyfTfrVcECM0bY3ziWcIvgFy07wDxejw+/T6acSaFhXN2VkynExyq1qVT2T +TMOdQwmf8qPFOCXGRTr5Eg0XVjm1bzolxn2FOjuy0mmI8Vj+VSVBjMtm5O7D +6zRgfLroeZIYleOPzn6TQ/C61xofc1GMthYpl0bzaTCYdM1u9VUxzn4sbBcV +06AUIbuFnyXG1uELYxwe0OC1xbhr8JYY090alGIqaNhyqu790ztiVB1q0qqp +pmGSxult1wvFKMhQ2jitjobXChdT4krE+Huu0SPXlzRs2+96YP9DMY7Wu3jk +vib13t8vDnosxldyDRsnt9NwrGjCNd8a0v9428f+XeS+1sUz/evFuMC840ZL +Lw2P7rZHBDeJMarri3jZNxpCB+plj7wR4yxv/RWPhgk+qh55ye1ijH/bPG/x +CMHvglVKUZcYu886DNeMZaCrKqDlXS/pt3P8ZdeJDGx8YhYy+RuJn/fG4Yc8 +A3GN25NMh8W4fm6TesI0Bg4sEdiG/hFjeHPKbNOZDMT0Vd7AMRJce7zg6ACb +gbGLrZ7KTZBgfpKS5XWKvG/uLnOVk2C8j8phPwkDRfmumYWKElRQiHc20GFA +40tFPEtFgl8V3/fI6zNAcW9ePaImwcq1Dyx7FjLgpzmt/zdPgqMTdkTXAgP+ +XzYf3ymU4PcofFNsycAjmZi43xoSHFvU/d8dGwasXg7wj+hJsP5vweidlQzM +2+C/ijVfgs1ZB+VLHRjwDN1kdm+RBIf8mTP1rgz0/syetMFMgvTTaQX9mxkI +ai99rLhEgnVFNrEq3gwc6jl4ruo/kv92X3OrAAbaunckRq6S4CO49uVgMAOs +HVk9axwlWB3SlF0RysDa8xVXNNZLUPGez83ph8n5onF9su4SPPTzqIz/cQZK +Qww7vnlJcPfUH+31JxlI/9h16f02Cf42nO1qGs9A+yXK7u1OCW4r87p4L5mB +YPu7Ch9CJDj7xfHnxpcZWMzMGh0Kk+CkGMOptdcYcPL1MZtyTILP6U/HPHIY +kI+K+TcnRoJxhjUbFO4y4PFebd2mM+T8jk9YWsKA8Xif4OTzElykyXoeUk7w +UbgY2nFRghzXGYWLnzLQKsk4NTtDgmPqA66qNpD3dtB+4qYEpwdkPPzTwkD/ +vDExQ3ckuLyVMep5x4CRr3PFliLSL1gK7z8y8BNv5HQ+kCDfxfdPTx8D95/P +D/F7LMHEd/3Jf78zkNKps1L6mQSTfy5w4PxlgB7zyO3qCwna6j10spEWQtVC +wUv7NxLMTaFeH5ETwnmXA+1T3kvQbfW0SXXThCB6St1u6pHgM50gtlhVCHdv +e4Zc/ypB7T7XZSf4QpA++cw/+gfpf65m9RiJEBrGjWDoKMHj2d4XYbpC2DP2 +8eU949XRZpzxZaUFQuA5LLELl1fHKJWywNsmQpiY1PQ3WUkdD3WWhG60EoJx +IO/9I1V1fNzgOo6/QgivLMWGv/nqqFm1zLx/jRDOBq4zNZaoY1xc0b4aVyH8 +rT81O1ZXHQ/Wh/ws2iIk/Nf+b3C+OnoFS3+/5yeEEzMV6zabqGNF2d57T3YK +4eTm2/8+WKrjqre1J3v3CWFoqwEreLk61rGKH7CPCCHx7Q7vmWvUkV/zPmFD +jBDkPUbnPHFRx4sNzZsK4oXwZcCgJMpdHfW69AK5qUIIfbfN3s1XHdfHnZ+e +mCGEMfWtZot3kPyUei+KcoSgaVzaZBiqjl3f9HwfFwrhGXpusghXx1fR9c9C +yoTQt9RpwfoT5DnpDL24WgiLmBVZUWfUseo4PuY3CuFr90qlmmR1nDVOi6XU +KoRjG95U8a6q4+5dGw7O6hLC3H3v1I/eVEeXzmsu+v3k/ere0+MK1LEse/6s +rT+FcGqxgeepUnV0Gp7DvTVWBONW1MkteKyO/6Z/bJ0sJwL3/NT3356r4+D9 ++opDyiJQ/hG/7kGLOqqGNCyfyhHBN0lV69UOdXTtM+vLF4ngWN+R1ku96njy +mhp/h54Iir4cr8kbUkf3Yc5WG0MR/J08hXn3Vx3X+Y+YGy0WgWrwiKtgogY6 +Vu41WbJCBBfDJ/8OUdTAlisZH3wdRfCx9Meur7M0sLh9TOXNTSJw+H12Yyil +gRHzr+yS8xNBWa2qGa2lgbLxUacP7xIB7JuX/mGeBn5fcq9Q9ZAI9PeuEpaB +Bo6TD46qPSEC4/wKh3vWGmjudSI/NUEE7f0yrbX2Gujkc+xjbJoIOtUH1oxZ +r4Gvh/80XropAqkTP/1XeGrgH6WyhY2FIpj/MbCpOEgD6+xtXwvLRRA99a3Z +0n0aeOG+1IHzz8n5ME2/70c1cMQ/4NfsNyJYukqOVXZKA//teMLt+yiCgamg +kp2igROm6zXUDIrAK29ECzM1UH0SNVL/TwQrWCaLBu9o4EJhZ+SonBg4IfoC +a9RAneKvIXYzxaClnVlVXq2BY/cHNzylxVDsu43Z2qSBiravkwP0xDD+wEc9 +nfcauPqS0XcwFkPX64DvnH4NtNecNmq4TAwl0tIH5//RwNSM4u5NDmK4Xp7/ +dfdETXTdbjBQ6C6G1LjNPh+VNHHfMJFFkBiau+3EB3maqPWiNeH7ATGsu9Tu +vkRLExVmxH1vjRaD7tI1240XauIbx7fffiWJYV7IxZzNVproG+Y2fVmWGMry +zSKL7TXxk4fTr/pCMQS9nbffaqMmesm9WHrqsRgapv5mTdymidxFRRUnmsTw +MTB5wt9QEi+HWfyoSwy7Xw98U4/SxFst2dkLhsUgiXyeGZeoiT5PhuS/jJdA +/Cz/KfMyNXHUUC34/XQJXHLrVJtxVxNDrsWLOEIJ5FuWtM+v1MTpo9LbL8yT +wLJojE58qYkOLZp1nlYSaAiv8jXt0sRJVYte7HeQgPWx9m7tYU2UCtJe2Okp +AQ/2nkj3CVpoaOjx7txeCdnn2qW7VbSwqCmpLu2EBF65DagXirRw0s+v5uNT +JZC0Y+zf1wu0ME7ZP/lBrgSuFc1MX2WthSlN9cFvyiXwt+9AOOWshT0Z+Zcd +W8h56QzxCj8t5AXozDb6IiHz3M/x1QEtzL/c6R85Vh0WB39kV53SwjGRd4aW +qKiD3f2UEm66FtqY/7i8R0Mdklr9nnbc08KGvh2FjKk6zN8jJZrxTAtvtGlX +rlirDrJ3laTL3muhyuNxj0d91eHpsogf3T+1sPlaEG0Qrg6nN+0diVXQxrz/ +jpaMT1aHvEuH9z+ktXF8JzPqnacO/2XxvQ4bauNl3aG2oFp1+NZcpPNmpTau +jRSMEXarg8pclzf1Xtr4T2F1fqSUBuy86c0EHNLGPZtm8m6xNeDf29IQTNLG +vRE2RucNNABEB4TV+dqILxQmOa/RgIL1JiuT6rTRIexx8miQBhgt+zUfvmhj +zgmNFbFxGpDqkmnwSFYH+ztV2qhcDdjTtWnSfJEOKiqfuVxZrwH5ZxXfZCzW +wZGK7c9jhjRgn6zmGQ13HayJdEqPnaEJ1iW2ig3hOlg6ktvUaagJ/9ilW/PS +dZDft7MlbYMm/A0rWNH7RAf3f3y88fNRTbgsWHLoZL8Oemau+f42RxN61Sm6 +Y5IuTh6aE3n5jSasmm0n84Kji+8/ffV2l9UCmaTLvLw5usguKtC3X6AFR288 +OX1uqS6emLhb/ZqnFvx3QcBOdtPFcQFmTZnJWhC32eZx2y5drDiYN/dioxYM +TzT+FRani2PY6PNZQRsizgfn3rmhiztY2eG/bLQh+JSJTfoTXcw+V2b3X4w2 +6E6yKUvo0cXrax7POf5SG7RLVr1pnKSHuy7dTdxN6cCP+Z8TC7X1cM9PxdRZ +wTowe/6huPur9bCv4bQ4p14HLPaOrNh9QA8pvXP2P9R0oXro1J28W3o4t8kr +JspeF7b/+fQsrFMPpcyPDmSf1gWTVWOnuvJmY+1DsUxRmy7kHvmlutN9Nm7I +LkfreXrgI7trrFbBbFy4hHMz8KIe8Kf25mqpzcGStORZZzRmQ5rfaZ2ZSXPQ +4mFrLvTNhmKF+b8q7OaiPARkSRnOBakc64C1R/Xxf17e1Cs= + + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwV13c8lW8UAHB732Vcd5RVSQNZWclNGamUFEIyMqPISpFSyEgUKRpWRElR +KuI9IhUV+qlUQiiFUhnJur9z//L5ft7Xee973vOc5zzKHge2ewnw8fEd4+fj +4/0dX1IYn5THhp4BrfN0RxIUbVZs0rnMhsdC84YktGNItvCnC2xIsLfkk0FL +ZMuZx2ewweqxUhkDXQtpJzXT8Pq1i+co6KBBycbOZDY89BLSl0OrkBMEYxPY +4HL+ezML3aErsH7FCTaEBidP0tDxztGxHUfZ4NQndEIebRA7VR99mA2/FlFm +FqCHr4fwLw1nw3+dfl6y6CutPzltwWwYEX7awURvm/Q7FhnIhr4ZI21FtMDC +L4SKHxvy76b08t7n7no3bsteNhAJSQa8eN7+H9eGueH9B/uildHMdPujCi5s +6F8e5M2L9+J+e+1TBzZIFATkK6CPdm+eC7JjQ5GsZ+si9CrhZ2tYW9HBJ4bV +0H0r1kc1WLNBqr5wIS9exva6mgALNgx+cNZRRVtGGs7ImbEhK4BfbwV6+upd +I8KEDV4vpfN48W42aR72NWRDrs/FK7x4rj9KH9L02MB3SzVFHU2VVf1XvYoN +F9Vd9XjxHhvlGexdyYZ/HJmFvHhh7gsOkdTYUHs94bcmWu1U1v2qRWzoHh1p +58X7cEv67x5FNrTEShTw4qW8Ob1anM2GuFnlvdrotbNi4RV0NpR9ORvNi/dL +5eQ9Z2n8vnN6RqvQ+Ru540JkNtgvMR/URe8IOqx7S5wNTDNitQZaNGsixEGY +Dd6Nyz/y4lXXBlXy8bNh36bTwfrogIHhPyWzLHDRaZ7kxVOQ9NG2m2LB/YG8 +JD10m1Zf8OwYCzKuO1CM0LGOu+9cG2XBZXbjUx20bkznL5thFvxpVrEyQH+9 +Zrdq6isLiDHJmjXoiy9eHcjrY8HL6/P5q9GbxzaWW3ezoJbVSDJGzzOf/Bx7 +zwLdI1UBpujbHI7G5Tcs0DDPTjREe/jUBFq0s2AJP+OLCTrhdaDXh2QWiDzy +bd7Gy19n1WrVBBa0p5J6N6NX9nBFD8ayYO66Htjyfv9weql4JAtax8jN23n1 +/ufDkZ2hLGiK357mwPs+U4u25B1ggc3KuC926GfzAQo//FlAC7l8xRHNEq4a +NfBmQdnDf9I7efmS5MJJdxbE6Rs37EITNKuzbS4suHH2tIcrWpqR7rnAkQXL +H4hMOqH3KnzQ9bVjwTv7rtN70FWLF4nctWFB6LjWWhe0+IqAd9yNLOA47Gpx +Q9/Sn4/M4mD+lVyZHmi+tZab+o1ZcDtLId0bbbchbYGmPguuW8ke9uT1A+v3 +Pw5rs0Cp4skXH/TUNhWiSZ0FiZ3mw3vR1g770qSXsWB+25NtfujLu++6uy5m +gf9eseJAXj15zmmXKrLgkGzJM3+0mb+F0CSLBWFKCxgHeOsl6MybdXQWXLLr +3BGAHgzvLDpNY8Fuy/rsIF69nvDfuESMBVk7t2gcRHcnVrKCBVkQsdTNIxyt +lTY7/GieCV2+Zq9D0CfPm9eKTTOhE47NRaDfXkpN3THBhEz6RHwYb30UvNuT ++4sJu1IZNyPRR0qUtEaGmXDNfm1jNPpVuZ+AwSATiobzfI6glaoq/jvRxwQ3 +L//DMeiDj2YKWz8xodJHTJ93/5PHG8LZ75nw+e2BdcfR/q1vGZWtTCCuVjBO +oB+9URyab2bChKS+TAKa0uVbY93EhENNQ/MnefXXdyflfD0Tqg8I/znF61ff +pnf3PWLCd5mzE/FokdH1mhoPmKDUWzWQhN41kcJ3uJIJxmLE01Re/5h50/7k +FhO8rFX6U3j1zq9YQCtlQlua8+M09BKf8vuvXJmQNi9TUoyu8EvZ6e/EhPiQ +199L0ZwAvzFheyb4NvttLUG/3G+RnmfLhLGVJak30U7BizRNtjDhiXDP03L0 +txC+l51WTFD4WGd+i1ff4Z/8Qzcwwck2M/oOr/9GVotROUyos0ik3EanHckq +umHMhN7dquaVvP53JibzFIMJMxNKrgQv3w+2hpi9ZkANhz38Ae1cs5LW/ZIB +i4Z2LOziPa9WvDzyOQO47fZ2n9Dh8HWz3BMGrE1juvaiBRsahm4DA5p/kS58 +5u0fL/U9FMsZUJ/Q4/2N178+K9rOJjOAuSHTfxIdIfFLo8qcAYZ1D4/L7cL1 +wlX46LOOAd8epSbT0ZPjWxKYJgxwoFdwGWi9oSidFgMGLGt3D2WjQ3tu9ETp +MuBuRn/iAnRlx4dkjVUMgBZJfkX0n+fiBr0rGFChbqOohNYiDAbSlzJA1cP9 +ogo66K5P2vpFDDjWZCOzBO3v2vO7jY8BAduCVuqhXSte3R2ukQfLT1kSDujL +xXNul+/LA7lUMs0R3XVpJWlrpTzYZc2scEY7JyR5VZTKAycpx3EP2tHFgh55 +UR6mJ6Xf+6K3i9RFiETIQ5dXzvojaHOnMiNlbXn4t2+KPx+9WLP0UJi6PLj7 +K+0pRAsJFVc9V5MHDf1tUIR+XJarfVBRHhLD5PfcRHP4M5Y3SMlDiGs2cR+9 +5vphltcgHb5YGcu2orUnLaevX6LD7A6jNC5aumWDwVwWHVqDDgULOJHg99V1 +4bbn6PBYmuIojL690fjPv0Q6LDtx8IUkWv2yxpB1BB0yQK+XgVbbIPdhxJYO +A9z2Kh20wtm+h6tE6aBkN3VuH9rAM6SxQwD/3zh3fD96u65Q66F5OShTN9t1 +EJ3wdskATMiBk/dD9Uj0L5Yf2XZADj6FrFmTgK4vGPUIrpeD5VrwrgC9996s +ZMUROdjj3dvVgz4af5puHyEHYrKDtf3oCw4KytMH5WBZjHbBIPrlP9PVZv5y +EKNpVTSKXr32hNtrRznQMTl6iosWeyp+74+eHEwsqbNWcibBjU66q84vWVjo +f9fIC+2dGDYdOSwLb3dSp/zQSkYd5+GrLNx9FvFpPzojJ711yydZCNjYn3UI +fdRVap1vsyxoWV8NSUFvH+BffLlQFkZjyJb30FOjI99FdslC0M59aZIuuN5z +N8Vv2SELYgk/tWjoQNtSlYytshDpUwN0dF+Fj7OyhSys/ntjsQq6JazvhbGO +LEhr0BYboq/MvCsPIsnCffeefb7oDaINYR/qZSDi6bTFC/Tt0hAl/VoZePhq ++53X6AU2i1vOPZCBmxt0qe/RExlxSlvKZUDiVv/kF3SRilULcUkGpP9JKvDt +xv1p7UulaxEyIJsr1ayHfhX6ruWAOl7PrFErRhsxToW/UJOB7SWh8bfQRTUG +yssWy8DFh2Uj99AxAtnhfSy87nTjdSN6VZqL8k4xGRAvreP2oc/d+Bxu1C8N +VksviSm74vroG1YWvigNJQW5cwVo7vFVF+9kSMPy+ROjN9BFymFU1zRpUL5Q +MFCJHnebn69KkIahHYM/GtDpPdQu33Bp0Jje5DmAbu7SO//CThqeZvH/Vd2D +6+FdjEQGGe+PyxevRPeHNx7nSEiD8PN4hUfoJLr4vxFhaSjNXGz4BN258+yg ++RwNNgd+Tn6HDusobPw7TIPRhqW3Z9G32p8fdX5Og6dRm95auWF9vJAZUzlJ +gzNfr4p9R/tsUp0NjqHB157F1uPoW80GwvWHaUBKqMrkok2e75bfE0wDIdFE +B7o79vOmYuMcVxps2WpzZAM6E4xPyhjSgCVfYleAlrjnKSf0kwrW3D2l+zxI +YKsbrmD3nYr78siNQ+gLlaeW5g9QwYY6WheHXlpRZsj5SIWdXDdqLnpD+d/d +Uc+o4HHcIOANOqYkuWg8nwpVkU7M9Z6Yz8uV+l8cqJCgxwfL92I/ZzqRTtpR +wVSsrdkAPZXB16+ylQpnAnsGLNCzyVtS3SyosDKG39ITLXx4cOCjLhXeWnY/ +uYSm27PPvqZRoSzx3X1pL+yvC0Tex2RR4HDEzREJb+zXMnYna1MpoNUUzcdG +H5LI1ZyJo0Cir6fqCvTxKcP48FAKNDDCrm1Cn+0I1Am0pUDKnbmI0+i7ODA7 +SVIgTSUgRtaHBP9mC830Ysgws9E0f5Uv7t/vMyWuhpOBpmxx0wzdfC/+tdh+ +Mhw89Pv5DnT2fl+PLhcyKN0UMI1EG/WuiD1hRAYR/TZaA/pIQ0V9+wSuE+N9 ++538SDCXCJz9ASTYeY+TecEf+4P3HbFOzJuchtnKMvQrs/y2dbjObd1C39f7 +89bnCTc5a9xnanLChtFrAy2PPVpKAo1mxfum+zD/214REv1SYC6oETaC5pfv +Wlu8SwqSBr1OOASSoLTCd7n9NikwqMkRCEZvt5mQE7aUAttZ8tUkdH4c+YeH +rhQMt4SvqkNvGOfkKFCkgNgXc191PwlOtV/7m9koiXPlgbA5NDXlwO2TmpKw +12RbweMgEjxYOpujoyoJj58+kupFuzecSuhbIAk9Qs1Zc+iK6TxXjoQkfA42 +lzEMxvOFX4fU7IAEjKptL7yDvmBh6BeSLQFPi0q3lRzE+ucXVPEQlgDfFaPf +KkPxfTPvF92eFYc9xUEp/6FdlgWs4I6JwwPdm7Zj6Au2b3Qv9YmDnE34Op0w +EtDyiy3fEuLg4DRffRctsH5zoPVhcQhaEqtbF06CgZOZD7RHxcC7a8Bs5BBe +Z1qbHP8qBqq3g9ypkfj8svn61k9i4HJnR5Eu2uWNT0vACzGYkTxZEI1+s8So +u6hEDGzzJIJoh0nQ1NQtyN4rBsdl/MM4R0hQLKa2VfC9KHA/tdnVRuN853Lo +7/lWUVA/0SgwhN5b/uzq8iZRqKocGqAfxefZ+/2yrRSF31bH1wejswtK03NP +iwK11SpILYYEqWvVO0zMRMHMg1mTewzXU6j2rkM3RIDFCH1YfQLP209j+aXy +RUDBodL0J1qH/V/J1Qsi4BBVzqdyEvfD+pDppjgRaImu1UlC+1Pu5ci5icBy +g2Cv3XE4j5Tqd1fIikDhQT4tSgLOD71rPH9EC0OfHN08Pwn3N6aWWlmoMKSF +up/uQjfbLvkRsE8Y3lyJpcsnk8CmgRQx4igMMUbOIylox6LupGEdYahuF7t1 +JAWfF3Cs4vt3IRA7YPLUKxXnxakG/q87haDKsMhm/1msR60HTdc2C0E7d3DN +HbSc/81kr/VCcCZ0Rdg4OvtjhtyXVULgt+tX45FzJCio81o2ICkEtkYSQ6cz +cL47KWrbVy8IjWPr0+A8CT5SN+V2qwsC6X58knsOzidmPvMmSwRh6PVm1RK0 +dcgJl8sLBOFNirfkb3T1mxqGi6Qg1Ny4U3H8Ej4ve2X6+28CcKM8MrroMvbT +xeTYjgIB+LnPZP38VTwv6rd7NjMFYKnag6xvhRjf70f9MpoAOOdZjRhew/jZ +4kqJYgLwtyX+XDK6enZdl+VffnCiWH3ULML49RU7nnTwg3ZsmmNUMcbflGEO +Z/gh58zVbUtKSfDe1WFplTA/DH3MiHhYjvnZSilxmuWDmaOPzy68jfk3fbqc ++4cPyDOB7Fh0tZK+hlUvH1x/NRu++Q4JLvXR9T5U84FWo5nn1wr8vt5vzeYP +8EFh3ViIZhXW68fSRyl3uURENLuIWYv5e8SCN3lcIljQeVsKuvhyUoPCGS5h +B43hXPSpPf7Nt/24hAyfqNFgHQk29S/r7FDgErkPvhc/AjwfD10fW5A4T2Tb +njsT04j5/1e0vGz3HMGEH3S/Fxi/xdtNb/Mc0bK7Laofffay6vlaozlCZo7r +4voS87WuiP+V/Byh6yGYuvMVvs+pa50/22eJTdNv6za2Yb7kC+NXWcwSO52z +6zZ2YH3p5fVVaswQ6XEBrje6SKAr6s5Ys3CGqJv2Hdb7hP3pvZJNo+QMYTyn +w1+PfhaV+7Dj2zTRyGY/7+wmgX7j1bSJ/Gnic03cO/Jn3F/srqzVl58mSGMX +nTK/4HoKysmu5k4RbOd/vpRRnDfqz8q/HJkisgJVFR6iT9OSMnreTxGDxKl4 +z18ksKg4lCp0d4oY904Oqf5NgodjO2NtfKcI2eCxtqBx7N/hVP++tr9E3GaG +Bt80CXyj4gwl8ieJOW2G5i1hMjS+iKpacGaSOB/UknVAhAzKC0N1NKMmibGq +w8+1RMnwodZDfYf9JOG6vSDpgRgZtnBNla9ITBK3EykXWiXJWEfTYtohE0TY +M9tji6Vx30o40LlrwzjRFdxUuF8R96WCW6mNWuNEz6OsdAslMmyo+7FBU3Gc +CDZ5Zq+oTIaU8X13hKbHiP/ElwX+p0IGBXffpPLyMeISQ6PbXJUMHCP3NcLs +MUJ3oCB0hzoZ4ke2597+/Zs4Onc+b+EaMqjkB7SR144SpZWKF5NwH1xXnZTn +wR4lVAIq/yXvJoPb6+sHq6Z+EuEZCutSXclwVeCLrGvlT2Iui5mQ6UaGBZ67 +d5Wp/SQEzwoKlO8lg9xim75NMj+ICRcfS3IgGcSKNMdPfRsiorQDH8YeJcPP +kj/ygue+EjkU4UV+hWQgEzER+wK/EsdeRZ1qvEYGzQ6pd/9ZfiV2N/iuUi4m +Q9C86vnC2S+E4xr1Td0lZBjb7ixr4f2FMJRxf+JTToapmQZqouEAoZBQk/Gg +mgz8NpnilN7PhP7fnG8Or8mwbODApJ7TB0Kt6wk/CFOA8fr5UUHZD0QeZZu2 +vSgFRGCRaPvL98Tzgxa3fohRoC/nnXzAuvfEl4/7kpWkKJBtZ2qYr9ZJOD5a +P5opTQGpBnIU+e8b4q2+vQAoUuBXXhn/4Ll24pL0hii6MQUCibfMVTn1RN2Y +W95EGAVO/X42nkKrJwL3r6v6EEGB/EU1rd8TgMj+s3d1fSQFblJMJS2/1xGV +0UpHzkZTICa3rU/9UjWhu5O8zALnoMWPx9Jn+CuI61dMbvzJoEBvGUe0u8KP +eOIn+HnvPQrMP7y07OJLMOVe4Z9rn6ZA97mfskMe9abRnMjdVnMUqAvk8BlP +1Zva9cRcBC4FjioPvO1SaTBlNxXYOQtQYf7UipNKh56Ytjodz3IRRTtUdxer +NJsK1jdsSsG5jTs9vPFjTbvpgZnaf/mq6Avi3O/Uj6YmRda0epwLe8ZLUoZM +vppW6T1eMFxBhYEuytE1t0ZNx/4Y06eW0yBu1bMvBpHjpl2vNhYlV9DgmX7K +VHzLlKnG2pTpKY40fLoSZLL+yJzpD72b1PMj0pDutTLi4g8+Tp9zTuJmPIc8 +UilWTZIW5GgNvuk3s5eFNor2qJa3MGe8uaXOREMOonrqAsfSRTmWNWGm7wTp +QOtxFg4YEeeoFH72Y/2lw9r66e3zClIcf43r/33ul4dQ69yIRAsyJ51arPzy +PwY089/44GVD5ay8J9F6sIcJRa3xHee8aJwu097Vcj0siLg35LQwQ5oz3/z3 ++K5/bHjxs33zoloZTn+iAfuF9EIIZFYzV7+W5TQW3x0PXaAAAi7LQwrn5Thx +446eRqaK0H8mp1hRXp4Dz4MdXdSUwEo+zVJ+OYMz3VvTvqJcCfKrpEL9dzA5 +4bX1fgwzZdApePrHah2LQ69RkV58Xxn+B6PZcOU= + "]], LineBox[CompressedData[" +1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAlyAZrU5KGkCxgSnemrshwMOutnul +bxpAIggrZBXOIcA+FuN7gHQaQCr8p6h80CHAM+U7fDZ+GkBh2hxHS9UhwB6D +7XyikRpARxgV2ejeIcDzvlB+ergaQNyUb0ol8iHAnjYXgSoGG0CqT+4toxgi +wBmeQ4EFCxtAkXjSQgsbIsCUBXCB4A8bQC5q+l1zHSLAidTIgZYZG0DBrvmm +QyIiwHRyeoICLRtAgIrzguQrIsBJrt2D2lMbQB++2lwnPyLAxBUKhLVYG0A4 +V8PSj0EiwD59NoSQXRtAwRyDTvhDIsA0TI+ERmcbQEP+bVfJSCLAHupAhbJ6 +G0DzVTuua1IiwJlRbYWNfxtAklwnUtRUIsAUuZmFaIQbQNXktvs8VyLACYjy +hR6OG0BdJqdfDlwiwITvHob5khtAf0b7GXdeIsD+VkuG1JcbQO+12dnfYCLA +eb53hq+cG0DQODyfSGMiwPQlpIaKoRtA5JkcarFlIsCs8KOS + "]]}, + Annotation[#, + "Charting`Private`Tag$96384#1"]& ], {}}, {{}, {}, {}}}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.7142376665939217`*^9, 3.714237904669828*^9, 3.714238469686336*^9, + 3.714239486913962*^9, 3.7143096688288794`*^9, 3.714309882196475*^9, + 3.7143102980925283`*^9, 3.7143103387980967`*^9, 3.714310788182613*^9, { + 3.7148075632639427`*^9, 3.714807570439906*^9}, 3.714807654527153*^9, + 3.714808257639398*^9, 3.714808797213571*^9, 3.714809145326331*^9, + 3.714830887652412*^9, {3.7148331530408792`*^9, 3.714833162206613*^9}, + 3.714835185025297*^9, 3.7148363566927433`*^9, 3.7148365448388443`*^9, + 3.7148372620837307`*^9, 3.714837316260206*^9, {3.7148375560333223`*^9, + 3.714837566324032*^9}, 3.7148377355398607`*^9, 3.714837769146194*^9, + 3.714837997802803*^9, 3.714839546849403*^9, 3.714839598429822*^9, + 3.714839641354657*^9, 3.714840047372992*^9, 3.714840761409927*^9, { + 3.71499340791967*^9, 3.714993419710197*^9}, 3.715473470610221*^9, + 3.715473614608964*^9, 3.715712836746109*^9, 3.715719393182644*^9, + 3.715733609106077*^9, 3.715766554329413*^9, 3.7157668712098417`*^9, + 3.715887773071289*^9},ExpressionUUID->"2d265d4e-f61a-43f7-afe0-\ +52a0dfede386"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/essential/fig-sus_scaling-func-mod.dat\>\"", + ",", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol1"}]}], "}"}], + "&"}], "/@", "func"}]}], "]"}]], "Input", + CellChangeTimes->{{3.715887754368169*^9, 3.7158877862221212`*^9}, { + 3.799285580863248*^9, + 3.799285605058023*^9}},ExpressionUUID->"b31cc2c4-0071-405d-96f0-\ +f0ef64042542"], + +Cell[BoxData["\<\"~/doc/research/sethna/doc/essential-ising_doc/figs/fig-sus_\ +scaling-func-mod.dat\"\>"], "Output", + CellChangeTimes->{3.7158878208726788`*^9, 3.715963235311324*^9, + 3.7159632689812613`*^9},ExpressionUUID->"83604bdc-b902-449a-b2e4-\ +d52896659849"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol4"}]}], "}"}], + "&"}], "/@", "func3"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.714907226585177*^9, 3.7149072267446632`*^9}, { + 3.714993456613233*^9, 3.7149934594500313`*^9}, {3.715473499619886*^9, + 3.7154735054840403`*^9}, {3.715473553081217*^9, 3.715473553145027*^9}, { + 3.715733613699733*^9, + 3.7157336224595633`*^9}},ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-\ +5b974a88b162"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"N", "@", "\[ScriptCapitalM]0"}]}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, 3.7142540416013527`*^9}, {3.7158877954219017`*^9, + 3.715887795485818*^9}},ExpressionUUID->"7b49aa4d-971d-4f27-8504-\ +e3da44463eae"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, + 3.714254694969582*^9}},ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-\ +42b781072e2d"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, {}, + {RGBColor[1, 0, 0], PointSize[0.002777777777777778], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwU2nc8108YAHCFjDJKZSQ7lZFKZaQeK0QoiSTKLoSshIRQNmWUn+xNVvbe +e++9vkYiWRml/B5/9Xq/7u655+4+9/nc+caua65isJ+IiKj2LBHR3r/rLxYD +BJlloVL+fulfvzWY3QiQrdJTgeTj9bPk/mtQ1Hza86moBmhNb9AeRd/Paekk +o3gMPg/Wr7KiX6/Hqj2w0YPI/DIjHnRKyi1tvilDqLuhFnQZ/e3UztorZWOg +tyquFEfT281zKJc+g81zSz8V0Dax3H/agy2g6/ESizp6n3aWmLCiJYjSlSjp +ohPMv2pOkFgDJZf662doZqEWrYYSGzgcUp5phx5Z+09u2foFFD36NfUGTX2q +hv0+/0uIttk65o9eUppb2p2xB6OWhpthaHG/pNy5CEeQemToFI9mu5bmQHPf +CabZO79mosVmFGKLyZ2BhYziezFaNZncz3/GGRwoqNnr0SGME85vqlxAg3Xi +ftdefioJTqGRrhB//XXgKNp6WcCr2fEN9GgvNH3bGz+VSgLrAzfoteEiXUdH +i071fhByBz57HvFdNFFY3okzxzzgmu5fB8qANWDJiLcfWfWABc7PBcfQspEe +vzI73gJVHsUGG1qb+IJ/fPo7mKCRusSHVmtxlC/y8QTRMzethND/AiR5fhp7 +Qd+vE18l0cLPNC9I3/QGD/PiNUX00bko3cLTPiDuc/qyBlpvabFC6YAv+Eg+ +fqGPnmFlUiaZ8QWHdwZF5mi5t8S0Q9V+kKsq9M8e7ezjdqAjxh9uRfRKeqA9 +kkqY1sQD4MFD8XeB6DaecWW/zABodH/RFr5XX4YhToQtEI4cdjiWhL5b0Mfw +yz8QyH/Ja31Fi3p4ZlTsBoLrmbn4sr14K5FPw83fw50Y5Z+NaFszT7l34+9B +UsNNpHcvXk2uopvyB5CVdnebQKtuBdkHlH8AiQcqHQvoEQjtSBMIgu3ABeZN +dPZB/juDkUHwZuq28f5ALOes/3uMNhjSJV0LqNC/3/f16zoHg1HyazJGdJhT +y0T5cjD4U91U50J/02di4tcJAWLDsUQBdMKxi+4pnSHQmQzbomiON+6cwpKh +sL/DVEEGnT7vsdGbHQr/tRtE3EG7NiTtvuH8CG6RPKsP0VY9WuKSQR8h7Uqx +zBN04UHGIlrST8DnQx9uhebNUjT7afMJjobCqhN6QdJce2z2ExgpCd70QqdY +rniPqocBd/JqVPBeflJyW4sNYWAU8Wo7Cr24NRd3SPQ/UDrVo5KGdia/8UEs +9T8gXNpIy0efutBT48gcDiI1BLJqtJ4t5dVW33CwbwrXa0O30Wtt8u+GQ9t1 +9opB9CNPiT8RFp9BieH5yZm98Qfxy7FNfQY6JR+HZbTOldDxrLsRoNFvOfQH +vZu2XnW3NgLupXKJkr1fA8vXJWukQpHAWRkddgR93MzAqiEpElZovv85ib4t +/jVakSoK/vj91TqLrrH57yLIRMGbyyMVl9BiJ0//EH4dBTW/3bnE0dpMR7pE +C6Jgu/f3OwX0xhOGKemVKHhcJrqkhp4U3DipzhMN11JvqOqiHauMPJ7rRcPo +hxPFz9AMpmeZg8Kjwc+8hOMlmqdwc7ysNxoiLp/xdkM/0PDvWqGOgfuj2uv+ +aDayL+t8cjFArf1Y+z90dgyVrIVLDDBn8DUmoJevmzUVF8XAWH31pWy0K4nP +a5r1GPgaeSq6FE3Ex2Vkwh8Lf/hVqBvRW1zrLu2GsUBvfNOxBy3jWNhxNSoW +LBUOLoyjj/VdUM0cRDeGPlhA6+8/QcVPFwduw0tNG2in2Ys7WbfigOklrdj+ +D2vg5S3EAR5xEPdp5wsV+hzr3Oue8jgIvvSVjRHdsrh7zHI7Dp5KXAriQn9/ +Kj5DLxgPUfmvyc+jlRiNlmpN4yHXL/jVVbTHl4sXHRPi4VSZzZoMOvWPTpbo +RDy8vsZmrIKOW/5quo8pASRIgie10Fr/zel33E0AIsoejafok2dLwhJ9E0Ba +ZrTLGl30e5n6bX0CxGRm3nJGH3l5o8psXyKkiSvVe6OJrrzM1b6aCL9+5EqG +oht+Ksyr2SQCa+ZcWQz6vP0rbfWMRKhzIlxNR+80th57PJ8IbneSCwvRpzd3 +aJ5zJsF+NhHhWjS1RLOil1YSzE6+z+9Av93eak8NTYIhvzyhEXRPqExob2cS +uLHEFcyhTeut48gOJUPIO03RNfRfSektCZlkqK0ZKfmHXhq2+eDmnAw1TafF +KYNwPcKbbNuLkkHxvVjNMbRQFHEsx69kYKU7cZMdffzUFIOTQAosSVe38aEn +/js9OPk0BTxYL98TRku/DJ5WjEuBtDCLEak9G/64WjWWAifSbfSV0WZ8K+PX +GVMh+Y70jwfo8Uzdzuq7qXDy1YitIdqCiOTwHb9UUDhzfZ/lXn2R0MjZhlTY +r/DU5xX6cd7YKzfiNGAc1WLwRM9OhafxXE+D530n4oPQjsJBfIN2aTB5LvZi +FNruxdt//l/TQGZsrSIVrW4twqm8lAZvR6hu56PrKJ/9d/zsF3BnXxmvQkdo +zhjN6n0B7vjPFm1oy3gDz7KIL6D9iG7/EDrhQhZR5OAXYJBTCZpBB9h4t709 +mg4S6g9Or6Dfkxes2SmnQ4cbb/EOOjL5t4WlVzqUNNQqkwevwbYQvax1bToQ +nTg7Q4deTuu0dSLKgFCrew6s6EX2JaLAqxng1iR/hBd9e/D8bKptBjTQU6Rc +QS9JaJ9uz8oAk7sBkpLo3gbR2t+LGfDCZmJYca++743H9Ecz4YfNto0Gumc/ +pW/uBfStYVoDdI6w4ry6cibYr7qnWaAfZz+3+WeaCbna23KO6Is7gxeSvTIh +xfPy7Ft0XNM3lvtJWN9E1O0DmqmD6NrBukyQ2yHjjERLdrj5VBEygedSRFXK +Xv9x/VRO+7JA/uBf3Tz022sPK6+xZkHTSy6SKnRQiE3ivmtZMP7iaEIrWizb +o6LxQRYk/22RG0QPZa4eCrHLgofESovTe/UrmX0NQ7KAxyU0YBl9i+OJxNUc +jG+efHkH/Z5VmOdoVxas1L4ZJgvB88vJZdmVn1mg9YrblQ7d4rcW1kWVDS2+ +gWdZ0etr8ZwFvNnw+mdNJw9aZNB4KvpmNhSHVdhfQV+fi+/3N8qGirduXJLo +8N4iYlf3bJhKp21XRE8bUBnZxWaDIbmBvQb6vtW+/VaV2RDl48JtgDab/93z +fDwbCIKG3RZo0iKtCeu/2eCxccTFER0/78vleOIrDLe8FXiHTv/0M/qtyFcQ +z6gZ+4DmI5q7H6r+FY6FNPpFogVVB26m2nyFqpchkIpuHzhtU/3hK0Sp8K7k +oRs2RIbHs74CA+O72Cr0Q3YrR6KOrxBWm6bWhvbrF9I4tfQVAm5/ohxCk6Qu +Plc6lAMm2YrlM2iHaxt1Djw5EE5otF5BW8sU3v8ilwOfRqh4/6JHvMJOEwxz +YCSYcYo8dA0+T/wTPOmeA+NkPz4dRQ9cVHDSjM0Bdt53KmzoptfTByIqc+DU +1veDfOi8OoG26fEcsDI6VieEHuJ63yPwLwfcnpO5SKHHOi2YXjPnwip1pZgy +mpT4QlSXaC5ICUtuP9hrTypsyKORC2SzXnmGaFvxBVOPF7nQTvuftSU67HRm +zmxwLghlWQo6oS2vLF5TyMmF3vLDa5578YlJKXK6cgEu230NRtuLPj7OvpIL +zJQJ1tFo+QA9w/c0eUAp9N+VL+i+KuttsnN5kJ6jvl2AXs3abne5lQeJDsMl +Negdxfvfd43zIM2N26UDPeW7IefqmQc6DcIyI+hDLqKL5El54AhHDn1D81zz +6vlQlwepU9lda3vlmwr7OWfyIDqFKWwXzfVrxiaPOB+YA27qHvyI+9OjTECJ +Ix/6vYGXHu14WOz8d/F88AvZWedAL5HVvvB6lA+kyc7l59Ceq+UHBJzy4U9x +s5co2unph9H+8Hy41jCqJoM+czRhx604H/zr8jhV0Emp2vpXhvKhKkNtRQtd +sst5bHErH6IcS8ufovV/PaRJoC8AYu4FPxu0wzOLu/pXCqAsblzbBV1lVjvJ +fa8AolbCBHzRFjTVRT+sCuA96cl9n9Aq+h1jBe8LwGjQoDsOLZalqvQuqwCI +DG0SMvfyl8qneNhRAApxCvYl6Fn9R4cv/SyAs77flBrQrq45BrTUheDEeIur +B61Gz0K2wlcIIGn7exy9P4F4o1ehEO4QGXUuoJ0HWi6WGxdC0i2W5M29/HUn +S9M8C0GCLdyF+BN+n7aSQiOSCoHKeuIBDXrLxrsiqL4QSCQWLp1AR5UvC/vP +FgK/cwnNaXRQlfg+P9IicOJRXbiI7vMhMAZyFcFf4ez662gfIYk3H6WKIDuu +L04eXfSt8lqcbhHEGVa6qqFTR1tv5rgUwegLSx1dtMqT1sSGqCJ41jkvboY+ +NH3m/mR5ERiZnma3RyvVy2n+GyuCQQne/R5o1+DgLNZ/RTAt/4sQiKYceqF5 +42QxhDm7131Gq12/r2EuVgz0I8PJyej115GpnzWLwVFtyzcXza2Vp9JhXwzL +34YsK9FPc0iVycKKwcvnzf1WtJ3DRpRkYTG4iq5eH9wbX+qKnOtAMfxe4Oae +QetrPJat2ywGzjB26hU0UWRqODV9CfBfn9rYQQ/nit3UvFICsp1PJsjDcL+P +OCqm3SuBjFu5TUfRfma9yftsSsA/uT6XDb0xlqGtGVQClycjo/nQHmE2poVf +S6Bv8Zqf8F65QED3ie4SyKqNdpBGG8s+DXJdLQEqg+ant9GSbsYZPw6XwuWa +ovsP0dxpf7m0LpSC0Yi53JO9/sJ9fnXcLoWdhO/C1ujiCy7sNy1K4fpJXh5n +9CfdG8m1/qXgJHyB2Qf9/bqUr0xGKRxe3aH+iD4wO93a3FYKd6X89sehSV8F +mdxbKoXPp2Y2MtBTUiWGBKoyuPl+32IxusqjrtyGvwyKXAmT9Wj1pJMvDimW +wa1lr4FutAAfn2+iaRmY9my2j6M//vdwv6xPGbw9w9OwsJefA2P/99QyIJ1l +r9xEn7FrPfihuQxkD4wXEf+H49EiRMFCGbS66uTSoMX+1IYsU5YDxb3kzBNo +L46JH/E85WBpm5d2Gv2xNTzhkXw52Ey8SxZEl5AZVZ40LsfvEVsioPn6k69P +eJaDofWreAV0rnkHS2JyOcgFRsapo5fpZHQtG8uha8QjTg9te9CWQnK+HLxu +C8aboz93G1B6k1TA1kxcggNamF9D8sXRCogKGU56i+YfbUoz4KoA5of9qR/Q +XcnLN9UuVcD+8x8zItEh+kRMN6UrYPQgS04qWvqHwMnrqhVwa/5JYf7eeM7m +3r2sXwGzlXbl1ehLB+pKz1lXgKK/Yl07evbFR00etwpgVJhrHUb7u+vynwmq +gJWlG31zaDvhB4Jn4irAxfrp+Npe/cjcZzw5FfCk9878LjpgKGXkXE0FqB3c +XTsYjvcjWgvnyz0VsE3zfJce/dLkqsb16QogGU08yIUuY5cyurleAVymsQzn +0ZkvS1PUSCqBLl+PWwxNXzrBaXi0Evzzv12SQz8WInS94KoEZaOL0qpoO7k/ ++d6XKuFQhbjqY3THvUfd0dKV8KGYzsAUHdR641SRaiWE3021tUMv8s186dGv +hD8uZJ5uaP4lq2cr1pX4nTsTHoAeCz2jT+teCd3vqDLD0aKlIu8vBFcCQTW/ +JgkdsG9sUzW+El5EnBrKQe+nuBVsn1sJ5o/uL1egNxyKjGNqKyEkUJmsdS// +w4/tWnoroencQdZBdIiPVdnWDMY77y00g27J5712egPLA9tvr+zNz5PydfUD +VXBfYcD4LzrvpcGM1/EqcFaPd6f4jPuhRZWmgrsKGDOvRB9DN92rsdy8glb2 +KWVHP6ZcoLkgWwUm5xKG+NFE87uzpupV8E/WbUsEnf1PZCvFqAoqg7npZdA1 +jzqkFl5UQfZh3ysq6IJTvxv531VBVW6+mjb6ju2Sl+XHKvjpkPDCGO3mNu1R +mFQFgtoan2zR3J50ZfsLq+CjWkexK1q3Ivu8UiPm8+jguB/a+MX22H+DVVD0 +nJL4P3QbKWvjwnwVeL1rPZ2IFqx58PPa7yoI+qyq+BXdcGL6znvKahhLibQq +R1O+Xl3+xlQN7inpYc1oep3SFgneajzXulT1o7ekHWfCr1YD21OGBQJ6scLw +6m+FarjBbHV0Gf1EL6dN42E18KYEXt9BH6gNjyw2rYbBQ9ZPySPwPB+ins76 +qhpeX2cKPop+4cH8x923GiRE3CrZ0CEynB5Ln6sBNrOW+NBK8bHKGunV8Nky +lllkr/x5r3pdWTWEx99XuIEOsl2OuNxeDfe9Ou3voNdD+U4ljlfDgRPUqVro +kerK70zL1TB8h3rkKdrn29zPAKIaOHq2i8oWzUPcf4nicA2Mh2mIu6KdT9QX +vmGvAffoOCs/9EWhZSeiizUgJvQ1MQztZOXl9lqyBiTU3EcS0A9+tTYR3a2B +mS2mI1/RfBOrd9z0auAJo7VcOZrD4gITpXUN0GYHvG5Gh41Ucr53qwGRUov8 +fvQt4xEz5uAaYLx8dJmA/m1V+CcpvgYYjjqcXUYnyQc2CeXVgJtqvN4Omlsl +fLihrga+LL+PII9cg6O/jgg87K+BX1NSQ0fRASn8tStzNZB+quA4O7ptkyvC +c6sGpL/+vMuPrtW8UMRJUQvHPL4HiqAZTLwZKxhrwf5jUscN9P06kxJtnlqY +nz5Lq4J2pTkYuytaC7UGZre10Wzb0a0xCrXw6phtoDG65tJTMbmHtfBmSbzb +Fn3O9dPPn6a1cH2h7dgb9Ha2ydynV7XAe4BNwx9tFMbAJeNXC5Uilz7/h75C +Nxi/HoH9Ox+cSkRTEs+axmfUQltP/Okc9E0du5f3KzDeBWKzCnQJV2MzVWct +qAZw5raggxQO69dO1oLH4oG/A+jmRU/J16u1oCf+5cYMmp7J1OgqcR04ehz3 +X9kb78Zy1zZdHSgWSg7+RdOm3HEv4qoDh+4LXJRRa/BGt97p1eU6cGknmB9H +HzfwLpeUqYPdxPslHOiBX32ylOp14KceQCGAfqdNoO8xqoPqAS/1q2hmou8C +UXZ1IMQtlyC7V1+EK8DMsw5CRRt+3UUfcGgWhrA6eE57UOYxmgMYeY6kYn8x +tKGm6LodGf254jp4tDDwzQ6tfdVvrqylDvJm9K66o8cCz+R8HK0DAZ8sv0C0 +YbRyk/VSHbgOVk59RpeRX+O5u1sH2g1BQiloIgeeHkHaerC4y+Obh17PvNNw +nL0e7G1cCVXoIvPFAzsX6oH37GfRdvTsm0sBBMl6UHpq/34YLV+op996tx4+ +nGdamEPTbn19U6hfD0UvHaXX0cLnHi0l2tRDMERHEEXj83YzMu6jRz3MOr7b +PoT+KZ6e4B1aD5Z8F+8xou1Z6tadk+qB6GZE1ik0xT82f7vCejBtbaG+iN6/ +sGVj2VQPnjmlptfRhaTvks2G6+H4tkWzPPq2JznPs8V6+BM8y6OOno7L2Xz2 +tx7oPFi89dD9QXVHnlM3AH8Nw6I5mjHGzsGWtQHOK/QqOqJ9uEgvOp1vgLVj +qpnv0GecE668k2iAp6zBdMF7+R8P9QxSaQAr3Y8votFX7x/mjdVrgK1BrZEv +0XvfJ+UTOdYNMO08I1GE1mryeVDv3gCcKgJJdegLh4jnR0IaIEnuKk03mpLx +R916YgPoPqJ4MY52C3Ffpy5sAIXAT+ML6OaLZJa8TQ2gNbggt4XOiUoD+eEG +CLlI9JUkBu+THzO1TBYb4Gdo38nDaIZpxRa/vw2gT2LueRJtrlbunUPdCP8s +G3+dRdO2Q/gIayNUjM3oXkEPCFD+O3ChEQolazok0RMmGlmCko3w7ZM+KKOv +OD7J073bCCbjdema6E0tS6og/UaQpF5geYKmYM3Oq7dpBE/2Tn9rdGe/bvZf +j0ZQPPpynwuaJK2c6MrHRsiYnLLyRaeXEMdYJDdCvRv13Cf0O0njkC9FjZC0 +9edBAjr71bmxxeZGcBFObc9GN2R4vzw32ghPgflGOVr9UukTy6VGeEeuXNyM +ltP5l1qw2wiH/aUuDqCZ33tJ7TvcBCfatpOn0aoSnwVucTTBQMVzjhV0xfxz +i0+CTeCim/rfX7QjifSBeekmkExPOEYZi+8nDuUVUbUmkIvUCziOFhtqu+Bv +1AR956cOcqKVW//Vz9g1AbM2xzsBtGQsU851rybQ4eAiFUPHUGhvfPqvCXrt +5lzl0NpVJP6baU1Q9tB03z107md5J/UyrN+Y7ayDtjQxqSlsbwLaoiIiM/Qs +cawOy2QTkPG4udij+27wq7mvNsGnozTEb9E83DIxS8TNsN9G0/0DOiTyrMyD +Y82QLvOUPAq9mk0n2cDdDP1uwj5p6DgL8RBh4Wb4xtNIW4ieWVqQTL3ZDGcv +nQipRRMpqMixaTYDafg55i70neyMhFDTZqjRIo4dQ0+oi2sfdmqGcetPPAvo +Tntxc1//Zvg8spy9iSa3WBw8GN0MrwMoxEji1uDZC+cIn+xmmPIm1NKi9VaF +S2lqmoGtyen2SbSrisqV4N5mKJMZHj6LNt1HQXlyrhk4/m4ZXUGrvfwknLjV +DKXf+tcl0RMi4lWClC1ASmrnqozuHBRJrDrRAkaKg7QP0SlrVXN3+VvAsvRP +5BN0JiuD29z1Fgi8PS5gs9ffMVvHV7dbQHq/W4UL2sOdsfOYbgs+H/N3/ND3 +BcE106oFXDNop8PQToucAYruLcAUs2WbiM5wIfmzGNIC96KjKXPQs20nq/2S +WqAz6WBkBfpQRdq3i0WYX86VS63oEwpLJoPNLRBextE0iO41YVV0HW0Bupr2 +x7Poh7yvfPh/oiuuba2if3+W5hkmaoVT6aYBu+jjI9nc3kdaYdPz4dlD8Xge +3Ufqeo2rFaiUqaoZ0Ldv2ImtXm6Fo9tOWqfQ3oSbasmyrZDyJmvrAvovU367 +rkYrvPoeF3QdPSL8N4nFBOOf1biggE6K0JgacWyF+1fb2tTRIWkUjp/9WqGW +meSZPtqvTt72cVQrHG/8ffA5esXoQeep7Fb4dTU79RVa/Iit749qjPec55bX +XnuF4ZT83lZQ0tf7EYImz6w/6zbXChcPa/nHomMG7SjvbreCnxX9xUx0xnM+ +Ra6DbUD/9n1vCTpQgG11k7kNQmXbXjaiDzQGbreea4PWzCaWPrQxbblegngb +vCx7WzOFVumZOe+i0gZ2pqQmP9Ec01I62vpt4JAndWQHrXeZ/tc12zZQ+yhZ +RJ6wBlF5nxdZ37XBN6r9esfQofrH5EjC2mD1iOshDvQ9yRKyhdQ20IytyjuH +5lHs4O0pbYO5omqdq+iGTP+c8vY2ML7nTiWHngoWjvky2QbjZmRFquiPrBS/ +Pq+1ATWxvJEOWv4tfAkgbYdxKsVjZuhsWqZmd/p2uOhNW2OPtjrQr/TqbDus +2QZZvUXn1eYIv7jaDvtaBziD0N7pK++sFNtB03O0JwpNzYHP9qN2GEyM8fiC +fv/JVcvqeTtYcZ0RKUL3hd+dsn3TDox/ni3WoQe+vmpzDG6H9tPWUd3oYBvg +cE9sB/sE0XsTe+Nz6h/1L2wHHqtKyh9oS3O3fZ+b26HGk7xyG623z903bbQd +7s7S2B1IXAORDXrXsp/t0OPWL0CHlqIoM58n6gB1nUffWNHZx7a61ik6oONF +YjQfusdv0HgfXQc8rsnQFEGXzrgI0TB3wB9Ju+My6JpgWhGWUx1Q/pOoSwXt +xBhvfu5cB+TW3fR7hKbZ1B4GoQ5YqlZRMEU7F2g5qoh34HN+guIlunq+QsXw +Zgd8Zo+vd0c7MiRpO6h0gKT9ksd7dOz0xahAzQ5wn9+UiUS3zzvTJ+t3QLpJ +JVkauqMyq6byWQfk7Mg3FqCHT8wkDtt2QOvHIO9a9KtE0cqN1x1wSixCqQvd +dKSLls6zA75PGR0ZR7PTNIecf98BQp4rfQtoCe0bd5X/64CrvFfDt9BK1Y9l +zOM64EqttC5pEp6niK9ZBHzpAJW71GePoAtmtzuy8zqguTN0mQUdIZX/pK+8 +A6rEJgt40XkrQUJ/GnB8Ad9dhNHJ9dnX2Ls6wKLxq8INtFLaeQe54Q4IIYgd +V0Ebvz63bDHdAbLD7pPa6Pv8LeFhPzqgIs3viwn6eMpZl9oN7F9V3d4OLb5g ++HlltwNutI3LuqMVvseusFB0wtzxM8ff7+UbQ+SkeKQTnHnOz0SgG9g+S746 +0QkPSLdyUtFC1p8gnasTJmJfuxegE2KO2Uzwd8Lj/fVqtXvxqy8Q6IQ6gflk +25kuNNcGlZeceCd4Lgf9GUMfUW966nSzE37bnWhfQC9QvHXNVemE1myd2C00 +mZh+zw/NTtAJM7IjTcb30UnXR6cNOuE0H7/SEbTzNBGXrlknOOhnc7GipxqI +OCJedEIXbP7hRedRxmgMO3fC26I/3cJo2yWSZkavTjjRWZ52A81XetNW40Mn +zL+W8lBBl9YHaIaFd8KLao/Hj9Atur/tR+I7gf+j51XT5L3f+xN6WDM6wf+3 +Av1LtHZx3hP9gk6gnWtdc0cLX5MXSqnsBMEHNJ3v0QI9LuIrTZ3w/DZtRiR6 +bfOVm0hPJ8jUdfimoR8wPiJ+M9oJqgW3nxXuxUu/Udo62wlbHAGKdWhuUZVs +xuVOGNzvf64bXSkRP2W43QkWqoq0E+gKpUdKufu74NHR5tVFtMOPqF8kh7qA +Dcj7ttFlOV4D9451wb1OkqIDKTheyWubiSxd4F1fEUGHZhMYvPPndBcYs4i5 +saFjOF9/U77QBSZdtsb8aOYm5eJ40S5Qn7C4I4p2bTJp2pHqgmhpHhFZtBdh +7dg9xS4g2olhV0U7t5FHpKt1ASvxMKUO2kq2WZficRf8p9a1/myv/MhDfYOn +XcC89m7cHu23ORxTZdkFCr3/mt6iA+pNWNgdu6BrWzA/CJ2gzdfv7N4FT7XO +xEWjNf2vt076dUHrznBgOnpdpJpI+mMXvO9Rci5Gz8oMP0+MRk86mzegqWMT +2Q6ldsEzNstHvWhukZtUljldsOvLcXsKXbY5ITRY2gUD3O8lfqJ/EfyjJOq7 +oGeuQnAHHbZtK5va0QWFrencFKl4/pfM5zs+1AXXezWZjqNDa5/fdiV0gfSf +empOdENAffbPxS6wFlsjPo/mKRu8q73RBTnBo9ti6HNGjYJtu11QT/x2+SZa +8ku+ClB0g/ubn3Nq6G+ZtZlZR7qh7DD9hB66Leao0inmbrie+nfAAu2UX8sT +dqobtm7Fdr1CizD9lqEV6Ia8NbJWL/QsVXfMW+FuuBnO2xCKXux+fp1Ishuy +pahr4tBDqZuM9gro2YyKLDTzrPvlX6rdcM2VtqwM7dJ/LfC5djcI0Z0vaUav +9Ijz/zTqhuAQ6uIBtPylTAqz590gSJFWNIOe0/7CvWTfDX+NyItX0QlFGm7m +bt2wk8FZsosWz+7jWPXtBrKxv6WH0vD8XXhjv21oN5z5GVLBiG6RbeD4E9UN +chNL1dx75d2v3VxSusEynbRBEO006XuaIqcbHNWGW8TRv3fpDr0v7YagXvMu +RbRHoeBF5vpuCD9TPfAAzRdLHZbY0Q0Zt3rHjdAjt+ukLg11Q/X1hDlr9Edt +R4EqQjcQ/lxedkFnW6po3fnRDUdc3Lb90MJixq2TG91g1hxIHI6O0Jl5bUXU +AwcGtKiT0dRBM9YHKHugL/YbYx76QZBPWhhdD+zju8hdjY5h3eE+f7IH4p6J +Cnag/TbuTddx90CrwT6JUbTAbPG09vke+Hj4rfJ3tHWl8pktkR44a9asvYm2 +UBfMeC/VA/F2bWYkX9agxPndy3OKPcB0LuD1YfR+ludvm9V6oNibNpAFLc9I +M/j0cQ/E+inH8qIZdNzMKIx74OglxTxhdMjoqmyKVQ/wvqRouoG+7eZocOtV +D9Bouo2poDvVpOp/evTARl/p2iP0+3tPnwUF9MDJ77kUz9AFrrT3RcN64Eug +KZs92uXHg7eTsT0w1jQp9Bb9MMn4j+eXHlh9f+x20J5rdXIE83uAdY7saTT6 +vIlu9lhFD4TXFLimo4ty/X55NfVA05kzn4vRN5rInYR7eqCEVq2gAU01tqow +N9oDky8le3rR4qzmj0LnesBU58fyFDqtMbJAbqUHMmrUqJfRlvSJ6n9+Y/5R +Tnx/0U2KiWIZJL3gsaavQJmO58fCKiN96l4oL6QwoUf7xJwYZGLohaVlU28u +tK9uT0AXey88CvFLu4B+rknj783bC06JZm3X99pPLnXfuNwLyexUKwpoRbXg +R/ugF5j2Gx/VSN/bD6culsn1wi0Zd2FDNNN0hYKjCtZf0NayQpOPeaVdfdgL +Dj83XJ33+g+PV90x6AVZZcVkX3RHlKB0mXkv3CXX7QhDC1irO7i87AV+hstb +iWjjT4K/b7zpBS7HOrZc9JWk7xUHfXsh7cJx+Sr0GES2d4X0gsQVLut2dOxv +K+7/onrh8dvliBF0ykvvWv2UXjDncGiaRx83Jv8ikNMLayQ1GxvoSWuq0T+l +vWDA18xJkoHn7zul9xrre0EoJODOYbRFoSj9x85e+AtHnVnQR54msT8Z7gXO +02oZvOj1M2dtRGZ64fpNtXFhNEP1+OFDP3uhNfYorQxajezn5vhWL2hfCpS4 +iz7X9vJ07v4+sN1qtnqMVl2OifI+1AeZP2oSnqEllX319I73wbvDjkP2aLMh +TQsxtj6I01mhfoe+ZHuh/jhPH/w3zCUdjO4+euHJqmAfLDoet49BR6W/utt+ +rQ9kpeoyM9CikqKeX2T74CLfpW8laINeTwrfO314L3jM1oR+YOXf80yzD548 +lNfoR7edNfuubNAHOxGr76fRAeQ3FQTN+yDx9/3WFbT9OalN+pd9wPbsFfku +OqTk9dJf1z6gXn8kfShzDRq72S/M+PQBuy+RCyO6JOpWeWtIH2xeflTGjd7S +4PyUH9UHqosOO4LoovONZTEpfUD4onZVAr3/qc55/5w+uGv3014JPSJFs+RY +hvN1U6ZYc8+bvzZNGvpgjkVz5wn6OUFY6WFXH9zZ4L9ui2bW+7OsOILz2Vrm +/AatUv54Qny2DyJiqGoC0Fr3fZgvL/dBvyUTeQTaKSw6nud3H/CJzdxKRR9d +rXZgJ+kHk51n7wvQQQ3HIxmp+0EzK2egFp0UVEpDx9APRfcLWbvRqj3DrVQc +/WCw7GA0gdYnDR6k4OsHTtudjB9oocJDgmRX+qFhTnT7N9rD1nCIVLwfJKSE +pMizcP5battJ5ftBzGPF9xj6zAMlOjLVfvia/nSQI2vve8EZT6HdD9ZFkafO +o8/5P3WnetIPWokfLK+hzTylco5Y9sMdqxsV8mg51d4LjI79IMqcS30fvRQr ++Y/Nox9+RE5pGaC/i2cw8gRg+53WL5bowZHrbpfC+sFb4MW/1+iC68eui8dh +/kJjyr7oWAk1WcV0jH+YOCYM7fblVJRmQT/8LJ5ZT0RHaCXKmVT1w/wlD7lc +9OKFXXHHln68f0yHV+21P3TH068Pyz2JVtvRl3oq2GMm+mFQZ0h2FH3a3pIy +/3s/EBNZRnxHX9z2lGpd7wdb3fpfm2gqOd7W6X/9cO7tkCJp9hrcMrFP/Es+ +AKdMUxOOoP8z+a+Lnm4ArGhEidjQ4beylQRPDgCNuccDfjTtWcKJ26cHYPtd +QK4oWvSkiqjZhQF4qHn/sBzaU4IzxffqAJyfHn12D92Sa2+SfmMAvNnZm3XR +PCmOTh3KA2B2mOOsBZpaRZGwpjEAVNkTb1+hKcdowxj0B8B4n9acF9rQdyHm +utkAxP8Nkf2I1onY98/AbgCG4vyS4tFb91+k+rkOAOsvKcqvaB/a56kFPgMQ +vphnWoGWpqP7RwgZAHvPufZW9NMil1ja6AFobOwVHEZ/05v873rqANSmunz8 +hk54pTb3LHcAnPgX/v5Ck5mRekSUD4Cy4hF94q94Pg0/YtfROAC8FJtNtOgK +n5hS4p4B0Hv06SIL+kzWoJrw2ACcVdoO40WPBI5ImX0bgJDu4yQiaNWidrf4 +1QE4uLTyTAbNmNPPOLYzABH/eQ3cRbsyMRIzkA1C5NCElA562q5A/O7hQbiZ +vJ5hhpa3H+ryPzEIeaR1zI7oEw2xha2nBuHpkqqXJ3qQVOTXofODYKYTvRWC +lv1Z5q4oOgj8WqlGcehDVx6Y+EsPwsy4ZX8W+nywQEKX0iAMzm3KlqNn+/Wu +0GsMgrqVaGEL2rTqBLOW3iBUOIvyDqHFTzmqxz0bBGnqrc9z6M6R5G+LLwZB +g8nq8C90Q0lj+xXXQbgRm+q+PwfvuwlEVK4+g/AwMfo3DZrFwyqqLWQQfnPd +sziJLpCX9WKOHgR3prpZHnT0eFSTSeogqHmsawnn7P0eF69TkjsIZYYTvTfQ +us4vlakrMH6Rp9JddKaXZJBO0yAIvF6uf4xetjl1Pq9nEFa/HpU0Q0vfluU8 +ND4I62obJQ7oHcHWZ3rzgxBuGCzsmbP3/6NHaErWBsFwciUnBF373yeK4/+w +v9qDF+PQ3EY8ms/Jh4DmCCEjC83T+5Wk7cgQdNe8OFeOXjuheYDv5BC8Gmn8 +0oK+ZHPjsffpIfBVH+QfQtec/Xhk8cIQWF5KSJ9DqznZnVQSG4LG5+fP/0K7 +lhx0yZIZgkUqu+z9ufi9E31x7fidIXhB9uoyLZpLYULFUXMIhh5C4Um0zn3T +SoLBEMQcKr/Gix6qFfe8ZTEET47tVAmjPxC9Scmzx3KbDTkZdJvj/VMc7kPw +ize9/S66KnF2289/CMavcKrroF2J7p75+2kI5oLujZuhI+irM03jhuCL9I0n +jmhJm4cfRtOHYER6dcUTfThKukO5cAhWPzx0DEUHCUQbVVcPgdd5N7J4tFdF +qIZw2xBIMT79kI2m3lRMSB8YguJbB9kq0KvO84rchCH42Gj8pRUtShNwO/LH +ELj7vb06jN5QNEpn3BqC02E6Td/Q0xtBRsH7h4FmYUtjA03ee93xCNUwbL9W +/E6ch+/jaK/FAPphCFN/5HAYLX8xooCWYxisLc5RsaK5DSInAvmG4UVjUSQf ++s3fr/pHhYbhsg6JoCj6wfS+Gx8lhuHmlYP1smjhfRkuJ28Nw2fZds17aGaY +ZIpTG4biD7dXdNHTPmW0fDrD4M3o/9YCfWTeVC/XZBhC+71YnNDrd4/QidsO +w1SLVJ43erCih7XFeRhWNguVPqFzZIc8Nbz38v0xl4Bu+SN351vwMHz9PuqS +g3ZclLG1ixrG+443cxXaQvD3FkUq5puwkd++l9/Ou8Hw3GHgb2FRHUW3PWNk +uFAxDPVsJCvf98ab3ZlT1zQMRTEJfltoDrKBDK3eYZi7fYD/QD7eP+NUKDbG +h4GHh7OFDh3RaFTp/30Y5Pn/mrCjl+uuDfD8GgY+jaBDAuja8d+K9bvDkJf2 +7YsYWtewlsOAcgSiuH8ry6OLaqvVSI6NwEJtw6o6mvse8/c41hFw81QNMUBz +Pv81IsMzAvwWn0Wt0JafbAS+XxqBbrvYcWf0PuHqST8YAa8YQ3e/vfxqSNYv +yY/A74VZ3nD0YuNjwxHVEVBS5epORouU/RV2fzQC94ZYHPLRZ4X2mwoYj8CW +Yx9nLfpJXdDukPUIKF5VaO1CG+8bWXv7egS4j756MYH28fwnd8VrBIIPmHIs +oTOIOHdngkbA9TBD2x/0FoPF8dDIEVgXdLGnKFiDPudD/jdTRmDZNPE0PTpx +geXp35wReFrs1cuFDjjZFpddPgIGLLxuF9FmA+KST5uwfdA7QXG0/NRnCfbe +EaBiiSUoonPoD8UOjY9AWYF9kCbaQz7bMPj7CPDp08g8Ra8o5Pvc+TUCwKqz +ZYv+d0jyGA3RKByaN091Q5PavSRqoxyF6oqrj96jiWzdlPyOjYJmfA1d1F68 +Xc9dZbZR+BVM2fgFvXo0i46OdxQSAqleF6M5cti8+y+PQlBo6+VG9JXvuwaf +xTFegvyPPvRyg02cvsIo2JS5xU+jhR4ly/CrjUL6qIP2KlqsqfLW5uNRCCc+ +z0BUiPeBc7N5VSaj8FAguosKLV1yzd3fdhS4Hrf7nkAfDP6Zr+UyCmzBRTfP +ots3OJT5fUbhfqvuASF0GPOu/L+QUbhE3lAtjW6USU3tiB6FJOnvLiro72VK +z+PSRuGka6P4Y/S3Ztrwl/mYf7kBkRmasp2B73bVKOjvlFU4oGlY/NjPtOJ4 +hHpdPNFczB8d9w2MwoRFklQoOuKi9rWRqVEgSxQ+EI8mbSLTL/gxCiaD7o3Z +6DtaJcvBW6NwiyzAtwKtrR9LsCYeg78C6ipt6CaNabF71GOQojJMP4JO70zY +ucI4BrFmzGPzaBn1I5xMXGMg/4YpfhMtaKeU+e/cGDT595qSFuF+6nWNmxYZ +A6cPipfp0E/o+nebpceg2Nf1Hxu6q9uyKkd5DLpfWTecQ3vVvFqMeDAGVHqc +H8TQduGsTl4GY9Aq5q8tj+5gcH7xwmIMdCkLeO6jv2/XDRg4jMGV5s+bBujX +5Mwx9zzGIMRJvNYKTUKZ2C0TOAYrnFEfXIr2/r7m/0wkfAzeFJXo+qPvyv0z +508cg0aJkIuf0Wp3mYY5ssdArpCPOBX9sOZgBmPpGIixOfcUoNN8fi8cbhgD +CtuAhDr0rSzq9we7x+B0kdbLHjQ7v0X0gbExYF+cuzWFZluRYSKeH4ObBwXY +l/fqUxbvEK2PwQF6wY2/6Ai/dTmi3TEgUK83HyxeA72gE7tElOOgsvo8hhE9 +df4+K/GxceipSHt5Gv3QsSv5ANs4NL+Mu3MZ3RSfHXGQdxy+MmvwSKF7CGz/ +Dl8Zh5PJTcR30LFPbjQwSoyDD8v2qDZa0UTuL8etcXjpOF1gij4uoPKZX30c +jKp8guzRG3+8kkR0x2Hy54rFO7Q++wlW2WfjYEJyVCkEnfCLZ5+a3TiE7q7y +xqF3+qaUDN+Mw48JP8psdD+nCbmd3ziQJ83Nl6Prbizye38aBz3Vv42t6AvZ +fuWRceOQPNOeMoz+129fmpsxDk81H/nMoxkEB0+3Fo3DudxUs020kEzXv5na +cYhYzblDWoL5xvpJEnWOgxydw2U6tFnblbUTI+OwcPwfIzv6hPYarcgceufa +7jk02/4f/6mvjgNXreiMGPrKnVtBL/6Og4D5erM8evwX86tbJBMQ+dv46320 +8c2fs6MUE0BvFPGfITrJMYvMgmYCLHL83KzRzt9fjO8/NgEsU1fNXNFz22pm +IUwTsPYz/n4A+jqVXg4P2wSEjLZIRaB5/DKzyk9NQE5KpkAamm/uruE93gmg +Ur/DXIQm89HpWjg/ATem0ika0KI/fvxyvTIB1281bvaiA+ypOpnEJsA1KGqW +gC7I6dH7KjEBk0WX+lbQ20fvp9+SnQC+cve63b3+GNIyZ29NAEn0h3yqUlwv +hRljF5UJEH+snXwCzcTPMMp8fwJqdmb+O4tWktQgK9SaAGpbHn8htDNH6fw9 +vQlga+F9cwP96cF9t7UnE1D5b/7FXXSRA/QHmk1ANpXBMx30OuPbqfPWE1C7 +Fa5njmbplkroeDkBpeWBD16h+WW8OJ6/ngB/XSkVb3Qztbn6EfcJ2J7Ikv+E +puk9cCPHawI6RUelEtFfJA0X1AImgMyi9lou+ue/aPnfwRNg7mwsXI02zm3T +jfhvAsZNWgQ70U0n9l2Sip4AwYsLAuPoninFsm8JE/Cku47vB/pldeM+/7QJ +uKL8iOcPWvKV57/L2bge8TlnKMrwPNgSnTOaPwGZfXWn6dFmlqe5PEon4NRU +8OlT6NRzAooC1RPwvZ79jCD6SGerwGDDBMy/NT4rgdblYmh50zYB1zgseJXR +sZscHAI9E5AUcvGcFvooO/HF4cEJUJrJumCC/mfR+uft+ARQUi9dfoleqgp5 +fXlmAvpo50Tfog1XrEoJ3ycg70e4ePCeh17mvl+egOA4GtlYNLVhqZHkxgQ4 +XAalLLSl492e1T8TYBfFq1aOXiO98yd23yS8m+nRbkW/+tE0co9sEtJJrj4Z +Rndx9tmRU03C/F8ty3n0gei37cVHJuFW57VXm+gYzfUJc4ZJWHAaekdajueF +Wxe+cLFMQv2BS8F06DLzu5eGOCdh/Yl8DDs6pdncNuDsJFjGn8wUQD8x+M9K +VmASXEq+lF1D10ou8O5emgTK9N+tCmgdS+vIfNFJkLEnGdNAC+671WYhPgli +7M1LRmifHY8CHplJoI1VIrLdi+ciqj2jMAnlu35H3NAqyQ7lUXcm4YuQz6n3 +aL+3j0Yeqk9CkbyMSBT6ndyfHEatSWARKVVMR28c1L/ZrzsJZ4hXdEvQjsvp +n4KfTEJd0qRdEzr39Eq8qtkkXObx9x9A0xLA7Kj1JGS/3U6YRY8qZq72vJwE +s0q28nX0zmd1wZDXk+DQTzKwvwLzPahw/r77JFxoil+hRTc0Rs4zeU9C9Cfi +Q6xoWnaTR2MBk/D3BstpfjT53arAmBCM3/5L8iqaMbbI2Sgc87ni9egmeujB +Uz7+mEmIdBh2VEfHVBOC1hInQS1iPswALcsLRUVfJkE6MqfQCj2wEBDu+nUS +PJ3EBl3QNQ+WrioUTkKGmMu2P7qoyfTj0fJJ+DroyhSBboxgzx6rmQQSNQmx +NLTtFQ7P5KZJmMoq0S7a6//Xm5M2HZMQ8WPdpQFtceOhuUTfJLhRfI/vQ1f5 +VThRj+DzQRreNI1+KFGnMDI5CfQEyuVVdGeXa1/K3CRYRV85vq8S3x/ZB1nt +f0zCHQnWazRoJ03bU/Jrk7BSVaN/En1CfmCeaXsSOrlP+/Ki6//JmC7+m4Rz +z2TyRNB52/1pZSRT4BnCMSGLLqmKSg2knAK62GJKNXTQ97wnBrRTYPDh8BV9 +dOGawLTI8SloM+LStURrW7Cz0DBPQSjbup8zWvJf1PEZ9im4VeZc4odmEKhp +LT49BXoSTd/D0anhUVIf+KeAPaWDMRX975uCnYngFBzb/nCzEL3zddhEWmQK +Is8dta9HX40zYGGBKRBRuJPaizY02vXfkp6Ce8oKowT0l5iyim75KXhzdT/t +KpqarDAz4/YUENHaShFV4f5RIHnsozYFHq0JL6jRCafy2p4+xPFYB6UxozeU +p3dkdadAghSmeNB8XnHfuZ9MwQvnBAYRdF7woY8HzKYgb7ZJWRa9KniRdM5q +CtSF097eQ9+4wHux4eUU/LGRr9BDc6hRsaa8noJTUfHbz9HcVkvNPu5ToJpf +Kui817/mtLCF9xScKXlv5of+vUBiqBo4BawZXCnhaOZfBndFQqdgM8BqNmWv +/b2T+1g/T8GizmvOQnTIirg5aSyaQ06nHu2ROvt5MQnnu6c1shdNZcHl25M+ +Bf22tOME9CYH7bXSnCmgPkjLuorWzS//klCE8xXY8oioGvcr683xgIop+EUp +E02Ntlaq6nSom4LpF44EZrSHlIS7UcsUHBg05+ZFW/4d3r7bNQXkAmzGIugZ +6yQBiYEpCLT3TZdFT2SUcAuMTQF3Sf7aPXRXwbnxk9NTELEeIaKPTgw9qkH1 +HdeDS8rZEq2v6Rb09yeu9624eme07omgwKVfU+D1rIrGH+08r3F74s8UcL77 +fP8zWnVwoaNrHwGmwi/HpKJv0z2mqyMjQGSa12IhWiWrhb6IigC8BeFCDehn +3bJj6XQEoKgwedOH5oifM4xjJMCJ2s32afQnlaqsMFYC0DSIn1xD+x9aKgs8 +RYCSRhmTfTU4/7vOfp68BBhooiiiQX/RCmRzvUAAphZPCha0mPFlGwchAsi3 +1WnwoQUfv/GxuUaAB10VKaI1e79vBBpaSBFgduDFjhy67J8NselNAjRNLSip +o50vy+o9USbA8DJzjAHa7ckJD4N7BBghPrhhhV6dJTfV0yRACnOevCs6jJT7 +mK4OAejEWKIC0OLHPV10jAiwX09qIwItZymXpfOMAKffn1L8gr7kYB+na0UA +96aauGK0is9lTf2XmM8h9r+N6I4DAb2GrwnA+UBUbWAvvwdRdMbuBDj2lTZz +Fq205HjMzJsALQxxlL/QFfxiw5aBBPjmvW5AXIv5fFjXtwslwDuq/VWH0SN+ +JdlOnwngEtHCwoa+FJpS4x5LgExQdTyH/nexN8w3mQCkqx+HxNAboyqXQzII +EJIXJqKAzmAQDYrMJcBRP41PGmhd8+j85GICfH7Zu22E7nkaGZlTSQBqe2pN +W7TSf/K3KuoJoBdAUuqGNvxYWNrSSoCo0nzWD2j5tf3rg924nvvPvIlGG0tc ++zk3SICYx/fmMtAR3K8zNsZx/QbwlYVuuzF+6cAsAfqN57Ja0Cpi1q+PLxLg +POMthmH0VJ6q/+lVAtyefvZ6Hu1iEKovskUAjdZbc5tox1WVXYV/BJDr/aZ8 +oA73O13Eo0ck08DwV6LwKJrH2d/dinIaft64z8mJbly69vwd7TRUZPL6XUCb +slZwRByfhrjrJduAzu/mC8thnobkZQpDJfSlrrD+Zo5pINQf7X6Inp9mGyac +mQaz2hFxE7T1QG/czrlp0Pquk/ESnW7fcen45WloEYpjeYcmizntff7qNDSk +x/qFoOVPrSYqSEyDx+3Hu3Ho2WEZbyPZaSBnGbL4iuZKFbvspjgNLxkOEyrR +Q7bf46PvTgOtBKlaB1rzpNFouQbm8zGvcQxt5Ns4PPZoGojYT13/gdbLORP9 +z2Aayoduf/2D7nj9Hz+r6TQw1Yucpaxfg9NLwi7iltOgOTceyYDOXKEP17Wb +hkoxKfrT6Jk3yk7uTtNwq0HP/zL6VNzG6WS3abjjLUEujV7T4PrU6jUN4x4j +Lipo0YyfnasB06BXcmnnMdokzbyLIXQavvPJvzBHW+gWh8FnnI9B5rVX6Jax +eR6j2Gm4WJNm7oNeuHTkjX/yNKj92F4MQ/t5KMQWZOD8qpGYJKP5V9O8p3Ix +HlHLfD76ZaCiGFXJNEz/uP20Dn31nXSucBWuF8uH+R70mQPJG/oN02Ad9N6Y +sJef8Hui923TUHxbeXEFLSlN313eMw3Rqo1mRA1rEGqobLY0NA0m0USr1Ojt +njtdJyen4ZPwL5uTaNvGy7uKc9MgfSLxNy96yvXIL6cf07Aqf9xZFC0jtfs1 +c20aahskD9xE9yjTiRG2p0EqhM9XHe2zYuB7nGgG3ud0HzVEEztQJ8kfmIGr +p4Q/W6OlRLl8Xh+agTfzGtxv0N0eZSK5R2agY79IZiB6IH89c4FhBtwte0Wj +0MA9tsLBOgN/RATq0tETQu93HpyaAf8HMiql6CtKZzo/8M5AfS/TeDM6oDXf +vPXCDEykpZkOoW+fuT9AJjwD2pN/fn9DszWxHZS6PgNfrcm9NtF1bGfJX0vP +wJUnXYwHGnF/fXnXXiw/A/dKNVKOog2+qels356BXJuIq5zo8zKppULqM+D1 +Pqr1Aprs7udpW60Z0Dr2+LE42v69dF+e3gxU7I6sKaHzvQrebz6dwXMj/Tst +dGYtLZOIxQzU0dKcNEUvDembOtjOwG3Rmmx7tKpBi2eZ4wwYd1656Ynm/qlt +uf/NDJj1G06Eog0ZLnHLes5AlaKqXQLayUMv3sd/Bhiu7NLmoh8MkSx3Bc8A +IdAopRo9UiJwgCl8BrJ0faW70MZ9f+Z0YmbgUIrF+ATavM85OCVpBqyeHnb4 +ia593ke9no7rE2NO/w/9Tfuo6vXcGahV88451LQG05oqBp7FuF5v9VVOoEk5 +kiR7K2dAWujP8ln00DP+RfaGGQgyVA4QRp+h+q1j3jYDj+h1zsuitxpPxZX2 +zMBDhfOd99B5Zg3Zh4Zn4CBJqaU+uq912/fh5AwclyI7ZoW+XdF5+cvcDByj +pClwQauefJLy7weO/0GPZsD/FN15PFRfFABwCSFRiJJQERHZspZD2X6iIkso +2ZKIpFSEImVJskRCIlvJUrSILCWUsoRQRCWDsc2MmTFmmH7Hn1/vvXPvPffe +9+71mXmDFq7umTxMHYWHWg4cD9GcIbuYecxROPjwXkEp+sD+xG/zHASITks9 +8LZ1+fPVQuGWqwhA3GxNaUUTsxrnctcQQE+79f53NGlFsxZDhADMEY594+ie +HSpmhyQIQJajEelo4BGVK5IhQBe78C73Z7z+/p3Of9sJoBYgBqLorN9V/zkq +E4AzdD9xK5rZX5RYqUGAZ9tU0tTQaXcuFAjqEWDz6d59hui3q7VjfAwJsOLg +HtJBtIvLKt0WUwJw95zIPo5enbH0WtaKAFxLhlZn0FqtatzXjxAgt3V4MQTt +JPJW5o8jAWIN9pTGoiVSX/DvcyXgPsLeJR09cVqj8ZEXAb7LqKwtWo739rAF +lx8BSpIb379E85bL5nidJ8C/52IXP6AFL7V8+BRMgJhr8ordaHMj6yrlawQw +56AP/UbfNfoRknyTAC3qkXdJaEZFiAAjngBiEl8s/qGPtlv4uaQQ4Ovr7hWC +X+bA4Yf7g6b7mL81999Ios+KDGQp5xBgn5RkoBJaovmzb1ohASKIx5T00Apm +VvwcpQR4dcF51Byt8+PSZZ9KdJ14jgO6scPj1bc3BFBqTXL2Ql+L2/HBqIEA +G+9/Eg9C83v+zi1rJoCfcn3PdXTXi7xDkm0EoMUEJiej/xBi2uK6CRBXOnI4 +F+3n9mQT8zsB9jwQXvsM/SJ+s57PLwJ8dvzXUYf+2LukMEAggP7ok8Q2dPIz +93HLaQI4GgnbDKJ/pHperp8jgGKAjugk+i2n5Hd1JgGyz0v2LaC9LufyF3GM +wVOrugzeNox3Yc0ayVVjYMkhdUIcnRN8+VfSmjFwuq0vux3dI8yK4hUdg266 +GFETXdxVyrwqMQbPDJ4924+WsHxixJAZA7bXqss2aCdhHqdz8mNQck7S0A2t +1TC4f1J5DKpcZ3kD0K/mTP6d1BwDea1rXeHo05ZO8b/1xoAx1551G218Xn3y +uBEezxo4lYW+IzS2acBsDDpVCzWeop+1JUo5HhyDH5UqHNXL5582n+uzHQNf ++aC2j+jZpO0ZDs5j8PB2cGZf2/L3xfaL9LuNgcO4vg8BHeD2xsXRewwe6L7V +paGnkh6GDviPwafrTD6u9jmgmQr5uQSNwb2P9B/CaAmbLap/rozBUf7nJVvQ +8qEzTV6RYyBwYMdVVbTXvTsqUzFj0B5/wgbQKYGbfQLvjEHN1yPbD6IVZp9d +Xkgdg45NPKxj6IZpd6eIrDE463ex0xc9bGIpxJ83Bjc+5heGoG8N37iX8mQM +9uxKCotF/1egMLf5GcbL07dLR9tHWG198moMlBXylYvQel5r5HbXjkFRXSvP +K/QF4wjWu8YxOHO6/NcHtM+m9wWHWscgWNGmphutRBzfNtQ5BiZclWl/0AWP +BS/69Y1BA+NrILl9+futlllLP8dAjb/8EEcHPq8316Ql/B2DZj0LZSH06rHz +J2Umx6AtPm+1FLqq5Q5vJXkM9nPWEHeiq3/LXzNljEHYg8RWfXTuAbsvP9hj +0Osq+9QCPb5Jbfos9zi4HLwY74g+ENLzh1tgHFy9b/p7ozluHC3NEh4H5ee2 +1pfQFW69lpobx6Ff8bfmTXSD2al3X6THobFPaWMq2sdDdrXX9nHYV63JzkO7 +jm1X5FAeh+Ae1kgF+pdgjFSmxjh8UohofYfesMFtXEtvHPzefHjeiQ40+Bzd +bTgOzTHN94fRjM/DiwFm40BNvxk5g27lqzITOjgO8VNcZ5bQbYZ+3mW245B5 +w8heoHMORt5tOHHQeRwKvfYYbUIfInQrzbqNQ2cSbaci+sKqqvZE73F4yee3 +URfdEzJkpnF2HE53PuIxRzsUu97rDRoHn/E0qj3aZ8GhNiR0HDbY/jdyEn39 +y8830tfH4cP66q4LaNW01bebYsfh466J99fRa5qZWmcSxyEvv7cyGd3x9cNr +kXvjkHwxsiAXHbnrutDbB+Mg+3jq3rPl8l0OGZzMH4do/fW36tGr/+wzFno6 +Dl4ai+HtaFejS1uqn4/DTFLu+Z/oqZU8vSerxuGbI/fpKfTdSl534fpx0Lwt +f4KFNppMb6pvGocGFV57/q9zUKPdyeH/BdtvWGS1ES2q+VFkczfmv4nLVAEd +cj2D/eU7Xt8gA9pouRbXd2G/xuG2OkvHFE1/pHls19g4GEvf1bBDDzfu6vg9 +PQ7dMZMqnuigb74SqdRxXBesUDqPDrjJafAfaxzCBr/JR6L509bosVdMQPRn +b7kkdEJDoeAL3gmIMKreloPWqRur8RGagO+GrVvL0YUHiUZbxSZA6Ev61rrl +8vd8zPkhOQF5o3Lb2tBlDpn9KdsmQCfxnOwg+ufZsAkrxQk41H5l+yR6j1VM +N6/aBMQ8Mt7BRHd1fEv7oD0BO4W+7OTrmoOd/Vc1IgzwenFhtQ1ohlbOEwOT +CZh4K6YljxbvP7yweGACRjl/6GuhF58+3frWZgK+TTrvM0ETE1vlQh0nwCsk +6z9btNjlFs69rhMw9CzT2gNdcuLtG7bXBKglOzoFoo33NFq885uATplejwj0 +LwH6y6gLExB0Yp1/Ijq+xZ9lfmUCKg6vDn6Izg4y2yQYOQF8841RZWgNpYz1 +PTETYGunn1SLdpm8Rsy4MwG7/c9lf0Gf+bA+wz1tAhSNvUoG0Ik9gbJKDyZg +8fvGGiJaRqMilpo3AS7q8a0L6JmF6U91xRMwdaj2B2837i8tDEdjn0+A/e7S +SXF08cHGAbuqCbAYdV7ajh5XTyrdWj8Bie6fhLTQOVIfnEhNE9BRTttqgq4z +vzhS92UCyjp+admiY6ffmSV0TwBvU9wBD/QXo3fRLj8m4HbynGvg8vGrCXm7 +fk/AmN6mSxHo+Nn9mSvGJ6C9YUVCItr6B8u/Z2YCtsgXFTxcvj6mU+oxbQJu +BqyuK0OHHBosDl3E8h+q9NWi267pitisJELz67XkL2jhi5xHFfiJIFfzfPUg ++vZN6+B/a4nQUrJOfhL9VNjoUp84ESzvqO5nostvTFo/kyLCk5OCrnw92F4T +X744OSI8VH8atgHNev/jgedOIrAZPFnyaBNfWyFDDSLk1myp0UK/LqMcl9Qj +gkkY64cJOkCgM3bBkAg1hndZtuhSgVUpfWZEoPJOSXqiuRQqgl8dJMJgPyec +R7v+ntybZkeENZX9bpHogY/twxePEeFuht+NpOX4PkEnjnoQQSv53ZMcdPRx +5ls9HyL8zOppL0f/1b7M2HyOCAG1hdQ69MUsPmHOy0T4RNfe1I6OlPzENxZO +hLkDMft+om+7fh3+coMIZ+vv+Uyhf2zae7cyngjZtl4pLLTLzHb5zBQibBGk +vuX/hvfnhCfp1zOIQJ8xHNuITngxPH4mlwiCTEvhHWjbDX/FHR4TwVt9g4EO +es/Zr3L7yonwI+ORj9m35f32e2GVV0Q4rDV1zx69fX3XkEQtEb6vojWdRKcu +SMTxfiDCKeFa6gW0Gvu16HwrEeaPGstGoS9MNoYTvhIhZijONgWdlen4sbef +CCMFiTceoYtnUsgtw5j/CrvXz9HP3t1mviEQIZLnx0QDumjRbaRkGvujYPPm +TrTldaWSHCoR/ibLWA+j1Q247VJZRGB1/rkxg+ZQ5B+K45yERXfPmiV0prad +WQTfJChbFpAFerF9J1YkXV47CaZ3ChQk0Xcf7KgJEJ+EnF0nXZXQTnPjTael +JoG262+6HjrKx+m5h9wk5KVs7foP7Sp0P8xl5yRcOS4j4IiOINcrOmlMQm/i +T1NvtLAkscpebxJuqDpFXkJzlqsr2BpNQi2k1d1ESzS+uGxjPgkP3iWxUtHh +l28VWx+aBMU3lroF6GP0r7XW9pOQvKPl0gt0s3tehc3xSZhcv+J1I7pvXCLW +1nMSDkcw6V1ot/ojRg6+kzDoX6n9B222+fSAU+AktP9WCiaj+bUvOpwIngT1 +nx41HH1YP+u0l57XMB+ezmwhdEDZX5pP9CSsCBHeJ42mJYZuCEyYhLotsTdV +0PLGwZtDUrE+LvWf96ITNtK5rmdNQqHGy3VW6Pdegh3xeZOgme9z9Bj6zI2f +V+4VT8KpyuGHvmje7vDVec8nIcRTdDwE3V65Jry8ahKyqnnV4tAzNwu639ZP +gsibtyH30Yuv3AQ+N08C0V216THa8OVxhR9tkxBX47G2Cj1KeiFP7JkEvmb7 +Yy1oi7FIftbAJLy5wfekF/1XZKRTYGQShpeu0EfRorOkEGniJLxQKzOmoTdw +fOTVIE/CCdmcFK7+ORDqvR5ixpgEy+/WIyLodCZ0Hvs3CS+PNGpsQz/+J85/ +nmcKfqZRo9TRBy7JK8StmQKRwtFeIzTvQqziI9EpuBWVtsManaHsvK5m0xRk +7V4V5oq2qHg12LN1Cl691f56Fi2oXBU/u2MKpiUVtl9FSxy+smW12hR8dOy/ +koDe3bIpU15nCiIvmnc9QD8yf7lgDFNw4eLlHaX9y5/v9NjrYToF88e8I96i +zxza5xVpNQUnlDf8+Iyes/W78Mh2CrgmozUG0MXuHN6NzlNw8P7r20R0lrG4 +0ag71le/aHwBPdjU9m+VzxTs+mZvzPd9DobqIV/p3BRcPN2cswFdJhircvjy +FKxYpC3Jo2WjmrKDrk7BqsRRZ220EM86WubNKSAppFabov+ej1ZrvD0F2q1c +EvboI++MbSfvTsHGS5ohJ9E7hzyPi2ZNgaOG7MAFtHnJSiuDvCkQ5ezZE4WW +Ut+77XTxFDQQ9j9MQcedUv519/kU8I+e58xD3/2PdP1dFcbj8PSqQAv/zRWc +rZ+CbH3Rz+/Qn/e6XNvcMgWUjCjVr+hrx42+W7ZPQe6Wl2m/0FftT20M+zYF +c10FS7PL9TGZMiwbnILMCvuT/9DT+GT9NYL5bWxpE/yBzzff66Yik1OQxL+g +JYX2GG+TNaNMAT2WmKOMPvxjjHhlYQpum2St3ou2DJpOf84xDX8MBS9ZLh8f +Z6qMr5qGxKuGI87oYt+dpdJC0/CPS+OwL3qPerbIUbFpGOkZrQ1Bq1454560 +eRquUI7ujEMr3qm8/1l2GnLd4jPvo71f3HnDs3MayuSurX6yfL3u5vf7NKbh +xD7N0Cr0W6/LlVf1pmFLzePpFnR/Ru3tWqNpiE/5eaIPHaLBZ71oPg12HV1d +BPSpqEtL+oengSswxpS+HH9WNiXUYRpErrKruQdwvP1RFq5zmQZtpqbqerTL +x7IQDq9pEBxTKpRFtwp9+LLfbxqU/huR1ETfUojjjbkwDZqyznf3o6+lblZp +uzINJVdSBI6gZb5l7BW5Pg1hR+JvuKPn3aS0neKmgafc5N85dEzLB4lHSdOw +Nrk+OAKdnFA8TkyfBnUOJjURXWYxlaOZMw2blqgBOeg7qYX7rxZNw7X4Z9Pl +aO0V9M7WsmnYWLHTtx6dtnXeXPzVNPicOz3Rjg4sb37qWTsNO9q9vIfQdOOI +hYoP02D/RXZ8Gk2K3q/O+WUadp7N815aPl9D0d6mexpqq/9MCAxiefPWJ/N+ +TENKxR9fSXTD7b4TtN9YvlPejBJasqLPxHxiGuRfyQbqozN3nhXPImG+P3nR +LdCK76t7SPPT0HHv9BUntKdhX5jpv2kwkVNe4YNeOvtb+AHPDCQFPY8ORtvI +0FOoa2bAIJ4uGIu+rqu+wmr9DGj4LaaloyG1wqlQcgaOSDZKP0bfXXs3h0N2 +BnQeWDx5jZ7OnOtyVpqBxrlkjRb0Y4kZ8mv1GejcllXXuxw/LGdJVG8GFlS9 +LAjoM3Xy9ECjGTCSJvfS0DzdOQNfzWfgOGWPJ/dPXC++UShTOzwD8mX/UUTR +00GDfskOM3DWXjxCFt0h+F2C6jIDwrMFazXRJ+/ov7T3moGhK7Sc/eiF1Vv2 +VvvNQCUHj/qR5XhphRVSQTNwIaKv0R192GJifVToDIyv8LEPRLeb8ZwiXp+B +VTdrJyLQAQUShda3ZiB3XVdYEtogfX/3m+QZCHxcJJyLvmqZPbM1YwbeHjR4 +/Az9aMaMEZ87Ayt50wwa0Meqj5PmH8/Alf6ybx1o06HFXo9nM/C9McZvGK2V +t6+k8/UM8LVv45lFEw5aBhjUz4AU6+pDNpomq72ttHkG//5AV3AI1ysBMk2S +7Ziftis9m4eW17Ny9re/zYBryKYAZbRniUcve3AGxhxDBfair1szTM79nYHR +s9lPLNE/BjgK/k7OwImGCLNj6IScjLmjczPgf2g7wRf9iW9ErZ05A8Uy8Teu +oFtj5k8Yc85CkE6l3C30uThaWA3fLJzPyGzOQDNvM29prJuFEQsT72J0gKBs +XMmGWSiyesZfjXa/defydplZGCgcLP2EPhzj5JArPwseTq3W39E6MY+2b941 +Cy5ngunj6FPbbhDua81C5q+JTAZ6cVb6nrjBLFyv2bSPdxjv9yGJOmkms/CZ +Q2hCHG1/mtq63moW8l80JsqjF4+cPphmOwuSA7q62ujOcYFG8WOzsOnyuT+m +6MPfFhUyPGZh4Y5PvD3a44P9tc2+s5CwXU7bC73OS+dTbuAsiBrm/glCK/rU +r5QPmQXvX0MJN9AVRXyqpRGz8GL1kH4q+sOA5kHNWDzenD2Rj1apc3F5mzgL +aqJb0l+gTeQKXE3SZ8FxwdPsA9rxl5xdx8NZYAX7zHcvl9fC1ncqmgWNDLXH +I2got1pPKJsFVZdqxzm0zRXV34GvZoH+iUtg5a85uLyu6SFH3Sz0/l5bL4x2 +s9lhfadpFr49GQrcii5VuUKTasP2bveXV0d3ZvbHl/fMwrBT/aAR+u2tE+JG +g7NwyLIr2RrNz6mS2j0yCxHswv/c0A0LbjynJrG/gvauOPdr+f0pG31ZlFkw +fJX65hraIiiwMZE5C4uN5YGJ6JuJTdEiK0gQlndrZw56sKZBfpiLBE+O7hgr +R7t0vjF6ykuCH2Mxj+rRkj/qv10SIIGXXbFLBzrg7+8R47UksC+4vWkYXcm9 +64ywKAnGBtS/z6Bj7F/5/xInQcDS/XtsdO7szcmyTSTYJdhoL/gb16dj5X/C +pEngI1wmJoU+62Roa7WNBEaCzn3KaNGzZoab5Umwhqc1fS+6YF9P4bQiCYzZ +TCer38ufb6FF16mQ4BtzevNxdGdlzcgddRKYcOT9PoMOeKRZ7aZFgk/CEoWh +aMHZs6s19UhQrHXENx4d9jm0j8eABP8FHFTLQvd6+kj9MCIB14fVjKfoy2Nm +v0pNSMCjdau+Bm0cL7s58j8S3G39Ev0ZzZEk9M3eCttzs/PwAJqhtIF3pzUJ +tPzSJCbR5mlWr1bYkWDgutQoE621rn647ygJotq9n/H/WX6f2ZWosmMkSLEO +CpVAW+5Jyb/hSoIj64z/U0TPXBI1PO5JAh3hb2J6aLt+QYfd3iTIOKow+h9a +9WnSxJozJBgd3/vCEa2uWzJPOEuC2Jb1UafROR1+EQ3nSVDNKLcNRou+G72Z +cYkEzGsC22PR5qe38QZdwXieSox0dKeMFvfhq9ifjwU+P0YvaSmHK10nge3h +Z9lVaDb/hvOrokkw5yp2/iOaxsnzdySOBK1DBub96MUQnq8NCSRwb98hNY7u +71DQy04mwbRGH3UezeUfKh2aRoIJEbMvq0ZwPdywNsIpA+sTGJwvjhbdSXPR +zSbBFTv/MHl0gbTumw2PMH/1cg7a6Itrpu4wCkiQ9+qhmhl63mvzSP8TEjgZ +DAo4oE2zByvelJLAz3lg3Au9pKj7L+M5CRyFHzRdRP+I3fcx9CUJik5tybuJ +tlfnFTzxBut3wjsiDd2Ve7/TqJYEl/6dcy1EvzjGs1buHdbPwsDwFZoyfvwL +bxOeb9om04ze8amce/ojCTgYUpy9aPmo1W+/fiFBqLvG39Hl9jy5NvuqkwSy +t/hbaOisd1I5WT0kXJ/nF3P/xfl7gtYW2U8CssKKO+vRB0REg08P4vgukrkg +h956Li738C8SEGicTrvR1SLeZjp/SXB542NDE3Rc4lsfmXES5IutVbBD+0fd +W803RYLPZL21J5fjp/AqUmZJ0FSusHABTTsq3TwwR4INdt//RKFLgieHm+ZJ +YEOwbLv7d/n7j6GXnrFIIO19vSof/fPkn/jMfyRYPRya/wLdGbdTJnolGQYP +6SZ9QM9U+KidX0UGtfqq8B60wO2ShhOryZCixjrzF937eUW7pRAZap5yHKOi +XRVCHPVEyGCo/ukA1+jy7w3IeSiIk4H9yXaPKHpSRGRSbBMZvC7lKcuit4of +IXNLk0EXXkpron/J0oJoW8kgvz1O2BjdtsgbPLqdDFTVrTy2aC2PbOY3RTLs +8gxjeqDp0k3MZhUyVHzInD2PfsyMD65SJ8N6h7DR62ipOu5LxVpkkJbZOpiC +fqkLc1l6ZAiUjevOQxcb/Ddzx4AME94vP1eic3I1vK/vI4MsJe9DI/qPjqDb +JVMyrGqyq+tG2/eM9/taYPmE1qoRNMGhu8P1IBn0nVa+mEN3PvppYm9DBsft +/8pXEnB9ektc39KeDKSDdSUiaG9mYvk+JzJ87zcs3oZ+9tUxT9eFDLSPNx9r +oB1ZEWJq7mQY3pZYtB+92W0j3w4vMuTNHCs6gl6Y2XVliw8ZWpWnizzQFinf +zkj4k8GNYPjkPLreQGJIJJAMFMmjT6+ju4lrOtZcJENcr3pZCno8tgF4Q8gw +Jf71eR46XnSf6spwrM+o+qtKtGv0oxx2BBk0TY7WNKLb/5ATmTfI0KFn9K4b +3bnNcMV8LBnSP0+3jKAvH35AnrtNht2Lxzvm0H7nN7qTk8jQ9jWpb+XY8vvo +P9jMppJhg3XsLxE08WlZ4/R9HF/hxsRtaMKvsRdTD8iww7WRqoFO1bi2fSqX +DN0L3BzG6Gt10RumCshw87CAgC16Z7rgraknZHhwuneDJ3rNV9nw6VIy7gM9 +t19A88T+IM88J8MN2kvNKHTGTyCQXpLBLvDz/rvoPZOeznNvyMD8kH8kf2z5 ++zCO1vRaMhhQjDxfoHs+qHxceEeGo/8eBX1AV/TO1S81keETqSW6Z7k9hm90 +OFvJQPz8LOMvWlXhjvqqdjLcTj1eRh1bfv/FjVKBLjJk2rS/5xrH9ZNG6RPh +Xhx/vCv7RdFH3q6X3/iDDAvVrGlZdEtyh5zMEBn2BVRx7UZnzxIL5P+QYXqn +rqQJ+i7f5aJdBJw/tDBNO/TNrdGKOkQymHTetDqJjg9V2GU0QwbBd0dOBaHD +j555aUHBfLf9jbiBfsPpUWtLx/ws6D5IRXO8kzQ7wcTxcODImwJ0+c8nNj5s +Moy1qPa+RPM/lvgVxEmB5vNdc03oTeeuzkbwUGCHrY5wL1oyfvxaAj8F5P3d +1QhoJyuvu5mCFHjffNiajj4mxKf4RJgCfB4rA3kmcL2j/NvotRgFpMxDUsTQ +XSv+DTRJUIDnysuX29FSs4GMHikKvON42a+Fvutsde/vVgokDV1eNEV7F2dX +UbdTIHjjii0O6BzDS8e4lSiQ8srK9BRaPX4sUmwXBX5Xu5y5hK5Z+qekoEGB +50qaKdFolRVfHfS0KcAr2F59D227ypfHSp8CS147R4rQe+KHtF2BAk/1DwlU +obO490yd30+Bc0laWh/RoqMp22LMKCDr98e1H+3+jP4z6wAF5rpt4sfRnpMX +NlUcooDh5+gqBnqNiPRgyxEKSByNGOUl4vwo5ZYZcqDA/asgshFtvE93jOpM +AS6z90Y70FWOrWoCrhTwr+Q7p4tmXfv0b5snBda1rs/9D21nYWa9x5sCoomE +r47oIXPb7XZnKPCRP3SlD1ppzYqr/gEUsIDe3SFoKU0X55gLFGhUp3nHoV0d +QmseXabAI2J/VgZadu2Zh7WhFBj1jfhajPZe2rvq+zUKjNTM8NSgQxs556hR +FKgaltn7GV3H99l9XSwFugbFLwygSy4U2avcpoBtVffTSXRT2eP2A0kUuHHJ +9i+LuPz/v+HW06kUyJPO2Cwwif1pcexAzH0KcL/Kd5BEf1ijerjoAcaDC8k7 +0WwP3+/NuRS48p63fQ9adKX0GKGAAmL73fmt0BGPnYNXFVNApOWa2XE0SUg9 +UaGMApVHPG/4odPoFUoWFRQwnRH4EIbO3zJ74MwrCqzKClmZgBaynSclVFMg +0L10fzY6/cigREUdBR6aFkSVoSmzZZ++vaeA0EH35jo0D+3q0kIzBdaH/+Xt +QCequb6S+oz9NahkOYyuCHKl7u+ggLqfTuIsOjg16fXpbgpMavF/+4fu9+Li +SOzD8WmQK7F2CsdD66e2VwM4nmKXXGXQb7IoMkPDOJ82Sz9WRY+/urPA/ZcC +g2xukiF67coKB5VxCpA0KnSs0RaePvoOU5i/99si3dBQ9yn/GokCGmVOX86h +Ly/9SimmUkCQbS8eiZ4Tesf7jUGBP682eCSjKX9DVnIsUUB/6GH5I7TmOeko +pRVzcCJ4arECveppfZwD9xyQb7MtGtGOUWfEo/hwXm3pvd+N5mJpKT5fMwdJ +OucnRtBB61Qbh9ZhHr9/06WiE997/xEQm4PPfOw4rmncD6ymROtLzIFX++Sg +KNpicbDSRwqf+zsf7pJDy6XreWVsnYONShuu70YXjW962Lodx32bfZ8JupIj +2YWliOv6Tc477dGGU6X5O3fhvN4gF+mF5m28ds5FA/cRn1/0X0S73NvUlKiN +9yVdftVotGjEnYeN+nOw4ZRczD10a9Y0xzzMwWpnnt9FaD0+swlFY5wXEqV6 +VdPLvzdUcvSEOa67ijemfkS726keums5B1fXWZL60XyRf758OozrTltjywn0 +nuSer/9scd5e5nyygM6sFHfRcsR5GHWTh39mDvatrz3nd3z5ex6dnhLo4yPf +BArccJ3l9atREf3J7vyunyfnYP1/r7bpzyx/Hr3w+3ofHFcKNlEH0Ge4I1Yf +8sd14uoXo85oxRciTTGB2E76gNkZdMjcWZ7Gi3NwZ/ZTcSjai7OoYylkDmIX +wwRvoz9ub5XRvToH77YyAh+gZ0uICxeuzwGnt05/Kfpt30bn59Fz8PurgUHd +sinexjO35qDj5OqCdvRJ24mXSolzkLwjW2AYzfNfSfnpu7hv3Dp/YRb9V75R +7XH6HIg4iA39Q6eaw56xLGz/F5bZ2lnM90r1ju3L77GNLqqQQWs3lBC9CuZg +KmGjlBo6rr8hoegJ3pfHreOM0BwlV2vGS3Hdkn543hq99iEzQLECnyOF60+6 +o6M27y8/8wqf42K53YFoyXs+F8urMa+zlH3X0cFBkc2UOtzHa62uTEGbymc9 +1GrEdSFpYls+mij7acWVljnYJncn9QX611+J6frPc/Ckn7mqCX305yM37s45 +kFinfOUb+kFs4IkDPXNg0CM3O4p+djqTkNQ/B7Xyox50tAzHrvn+QRyf63y/ +85Dw+f7VIElmeZ947/UhcdLy/9cHX3jjOnBfXWuzPLrGcKP784nl35HIN9BB +m9B57jNx3FTwmrw2Ryeufe1oTMF6aJeoOqJLdurnJ9Dxviv1o/g0+lVv/uXv +TOyfD+1yIWiHAu4+2X/YLpW43Dj0Nd2z9QErqaDrISCViQ5UnlOrXUUFh1N2 +mU/RUjJ5KvwCVFA0OrnxLXrvm8SXDmupcJyun/4Fff9hW3OBKBVW3f4u/hMt +GOTrTt1AhWp+g/Rp9IeJKzH7N1PhSNDpjWy0TOla3ZQtVGjocs4UJOP99rT+ +hRE5KrQorJeSRpd8X6OnqUgFybDU3F3o5pr7cTdUqDD1bVDOEP2yjnSyT50K +TJ3J4sPo6zmyX3ZoU4HwtEHVDW2pYFYbqk+FPs3jr8+h/QV9dDuBCtnfGwwi +0T83PjSUNabC8MPJ5mQ0ZQOj67I5FT7e/nkoD73y201SmyUVtj1J+165HE/i ++P1t1hh/XszzA5rxJr4t2I4KP6+6zPag196Uv93pSAVhM78ro+i7NtAv70IF +kyP7eelomcXRsqvuVAgp/pXKg/1EcVNe1+9FhXwbE1lxdKGr/D9VXyo0W5+r +lEfHdI1ejjtLhaelnvt10IL5IeF/z1Nh9xnpHnM0d/28EFzG61NyTzqiH/Oe +Vc4IpcKLHZPzp9HmZym9tGtUCNBcjAtBZ/9JEbC5QYWmNz1St9Cu9ifby2Kp +8Kr+QmUmOrXusqRAAhX2Wg6al6Bfi/yin06mgtXJ1cNv0eJHSo9/TKPC9FrO +i23oa2GUw/KZmB+7hjVD6I9333XefEgFtrZp4cxy/Hs7fxLyqHC5PgX+oVUS +TC6aPabCBfLj70JzeL+Mlsp6XILjqefGBRm0Q/yng/zPqZDkp7hWDZ349GjC +mZdUKGpMKzFCX2b8dOp4Q4Xwwdb/bNCGcb4v1OuoIF3XPOaOLrwskpn2ngrF +/nE3z6P1fo4JspqpsJG6fnsUOv4HU8j1MxWibE8330UfveWS3dRBBYm0qFMF +aBVhuWqlHirk1Z3ie4WWynX1SO6nwsUe4ZJmdKDLtoyFQSrU/7xxqA8dc/6q +i9tvKnj/apgbQ+8VjH72aZQKuX8a0xloCXfLRHUiFTyICQZ81DmYL/i9lDlD +BfrSltGN6O8ijgvcc1Rw2hYWr4jmJHyIDJinwqBrjqY+2t1RO2OARQWft7d+ +HkD/KHsPZhw0sNkD0cfQLsrB5yu5aJBAqFbzQ1dt9Nstw0eDG+/Yg2HoZ9XP +btxeQwOhbv7YBPRRd3tP1joaJG4Z3v0QzXs84OtpMRrIVF4ZKUcfZK9t65eg +wejtX0kN6NyHFg7m0jTYVLXG6Cua5+6ugKptNFips5L8G92j0yW+Q4EGKSLv +cinoqFnjgxk7aWBmbXZkJW0OrEUzRATUaLB1PpVbFC0g+PdU+G4aeK4urZJF +7zDefYCsS4ODd+PP7EbLbs6p9TSggXC65hZT2vJ+Rbu+fx8NeiULeu3RzeEC +h63MsPwdQ/GnluNNqQe8P0CDr++H919GR9S/ldY5TANf0hNWDJoZ/NalzJYG +E6/3vLhPW/58gLGynCMNSNLpfsXof2mnbmUdp0Gkylv5Gtry+0K1g0XdadA6 +8fjPZ/SIzkd6vBcNjI+6ZA+iZ6cUuXh8aWB0bdBpGp12LzD36lkafDm1bQMb +rdD6vH3hPA2812v0CuJ998d61q0Ll2lgcmd1qjT64lq377OhNOgaKLFVRW+2 +oL/yjaCB1Qrx9UZoPec22fEbWF9ui15r9NQ4Y+vJOOw/kkm6O1r99q3nfxJo +sLeZ3/k8+ijxXqdrCg2CEtKlotAJj1WvDd+jgduh2T930X3nvBtcsmggKST0 +uADdPGWdNJRDA/Oeeb9X6NrmfxSXAhp8y3+i2YKuqIoaHX5Cg6ho2cU+NO3s +nLdbGQ1iI70/jKOFC13CRipooJsVdHsBfVP8+1av1zRYN3DAgX8ex2NkkONE +DQ1Om0xu2YS2LzTd4tdAgxe/j0wroQ32ngghf8Dx8erGmz3oQxJdnhc/0eDI +p2s3rdCjXBW/WG3Y31tMbF3Qfz6sm4nookF6U9fWs2idXVy3eftocLNmB+Uq +Wksoq/bOAA1e8lm8T0S3GE9dFf9FgzevNFJy0aJ5q3oe/qWB0ieCZwW6kM1R +rTBBA2UzD+1GdIjBpFrFNA0OaT/h70H3mHzX30OhgWJO1dBf9DPqz75mOg02 +xyRV0pbroyLAY8OiQSpNI5aHgfN39GLzz380WJp5eEIczcOrttGHiw5rr3zT +UkC7h1ux6bx0WJfTI6iLLjMbDopaQ4drng/G/kMHHF24KixMB6WOXe+c0BW5 +ZZK5YnTQJNzK9F0+vkXYUnUTHfY+e34xFJ37W0uwQZoOlRq5NrfRf0d2eRyW +pUP4Jadd2eiPW9ce+K1AhzcRPwXK0eHlxKZAZTpwOypO1qM107q6udSxflxG +rZ3oOsKPC/e06LAvdkvxb/TDCrEnivp0sJ79HEdB7xe6H1AHdMjeY3hm5QLu +L4SDPtsY02HiUvhBUfTg99o3Y+Z0iCq6qSaHpt+8qR9mRYf/uo6u10Kv2/3n +sIgNHYrY1AVTdLbA34Un9nRQ0HAedkDnajzUMnKmQ/zFW03e6JBv21d9P0EH +3Y4bJcFofdkE33OedOA0trgbh66zGvfgP00Hn4H+0Ez0hWvmpDw/zG+WmlcJ +Wn3+3VqDQDqcibc9XIs2JZ9q6r9IB49KI/129NkiK8ELV+hwUXxh+zD6y7Gb +k0LXsL71ISIkdJel3PGSKDrce97MsQLXSZSWvR7/xdKhijo4sw4dvmFkiXCb +DpN3an9uRbuGKyjfSKaDeax3mwZazGYLeds9OpSP/aw1Zi5/P/XXf42ZdOh/ +vrncDp2fEaLtkYP5mpHP9UKnvVxRvbIA25u/mHIJXXU/9mv+E8zX98zoGPSt +Erlw0zI6JKdyh95HE6wm6scr6PB5SPdcMdry11jardcYv0bnVA06vk1z5a63 +dIjV4HT5gj4YNcLV3UCHGMs0u59oxYBVWZeacPysoVnNoP25XnyUbKVDXJiU +2T904ZvFuPftOD7yhI3WsrB9/6h/vLvp0Bv1VX8L+pTNs06hfjrc2uGsrY6m +6eyzfT1IhzXp5Rr70RfV6/xO/KbDnr52VVt0ZYP2Zl4C5mO6SuUkmtf3vftz +Ih2M//gpX0Rz1Z0zcJ6lw+Oa6Z3R6EULx2fcVDp8uqajnM5afh9/fNUzBh1O +6hxUeYKuspJ2OLZEB70JFdVq9D6SbDwv5zysy/ih/nn5uOxzh5c889Bnba01 +yFr+/bu+N+6r58FGPEVvern+L59WrF07D1bkh8BGW9gY7asXnYd7hEsmQos4 +fteUePtvnIf5JQlLGXREwj85Kal53H/HHlFD5wcfCmnfOg89Ze+d96ED4spP +XpWfx31Yi+cR9MgFjXHVnfPgrnfP3xMdNz2zYkR1Hrw91IOD0C5PaRWpu+fh +TV961E1032lnlrnePEhmtybeQzPmNAYWDeYhtLblwePF5d8TSrF5vn8elvYk +Pn2DPnYy3s3LfB74tslWt6Jv/tXglbTC+l68/mkATf3vgWmX9TxchLLvU+jA +U4OSsfbzEHQ9n7iEPirGfcvQeR5+/ee1KLg0BzsVlJIYJ+bh8/05QRl0/ln3 +Xc895+FrsOVWNfSHzrqTPqexfFKA1j40UcNWU9Z/Hmx53A4cQVtc1socCpyH +yQZJN080OSw44/6leTgnn38pCF2mpqZuF4rHDecTbqI1os+5r4uYhyOiYkX3 +0KJnDiq138DyH3M0PEYLfh6IvxU3D6u5X39/g96epxz93515EFTVpbaiY2cc +JHjvzgO/WrTQIFqqyN+0JX0e3gvmKk2jzTpurI5+MA/2nTfN2Wi67/PTZo/m +oSJUx0uIjfPzBrcbb9E80CReRcmgj8qkkT89nQeBin95auh2q0ub4p/NA8l8 +/Yd96KLNtUMHX85DM4H+9wjaNeeKvnA15jM5n+ck+gy5Wa23Dut3RGrHRXSc +UuW7jMZ5eL7L0zIavehtO3ni4zw47roYkI5e31FXJteG5zvapj5Bb7/KIzD1 +dR5WvmBXV6Mp92BlZS+OZ7Og35/RG6zD74YMzIPJxiren8v17+ut3/drHsTU +W1Rn0EeOHL+xenQedqY/cvyHNmXJjfZMzEO3jcX1tbivUxIwGc6emQe6d13p +FvSp+vbzp+fmgesPu18dfdm075EmA8fjh9XcxmhjSuAZjqV50N4wqmaH5uV+ +1fllBQO4/8ad8ELrNLzouM/DgI8qS7cvoRsCr58+tZoBs//0a2PQm7y1snev +ZcBpF7Pp++hO0m8/rvUMCLaWlnqKNnPL6O/eyIDNvxoPvUV/2XBhKE+KAdnr +dke2oXv9r1+9sI0BWtOBL4fQ/PWDNSYKDPgTHDYxi9byu5siroyus5VawYH7 +uN91PEQ1Bjg3Mo4Io3uuB6yv1WLA/YTTcdvQpNe19Yn6DCiUL3qnibanVHOf +NGRAburzBRN0d1HomK4JA6jDMeoO6ElL8ZNCFgwoW6N8xhsd6fgwfPQgA2S2 +ZxcGo9mmOzTfHmHAMdXB33HorrufbqQcZUCJxtjmLLTux7vnfY8zQEe73qkU +fdT34dJ+dwYc3+eZXocu+be0bfMpBtgc6+3tQIuuayLQfRmwLX692G+0pxaf +6dcABuh932JPQRdwDhuVBDFgyIKVtnIFFc7zOf+IDmGAxXhuvyg6fThJyPMq +Ayqr1m/ajjZVSv9tGMUA80Z7F220UkLkYalYBhQInXxkjk57dPLY4m0GNOcb +jjmiA9facw8kM4AVO7HTF02K9T5QfY8BCc0nzoeiJ14/V8nIYgCXe171bbSc +hWl5SC4DDnq84Hy4XN4/vTbnQgYIdSUfeIZ+G50fs/cpA269NEh9hx5Pv/db ++hkDpkSrhrvQWfMK/ZwvGXBznq34Fx3i5neG8IYBPzxFLtHQ7IfB2a11DKB5 +0Bp5OKkQe8Xdv7yRAfcW89dtQI+/3TN49yMDnu/e6roDXay9eTykjQFkMb9y +PbRizYZkty4GhBfd+HcAvV3G+Id5HwN6ZnwPH0cb7n3RoDrIgP+o0o/80YOT +YSYbfzNgd30u9SraR+iVNyeBAZP2ZLMk9L6Ec4pTRAbQ3wtmPUL3HGiK651l +QDE/k1SJtlVrjn1HZcCp3ZWmTWjWzlj50gUGpFroPehFv1fZ5nmfzYA86zvU +MXS2yhO4uXIBSNYVlgtoMVnV6vO8CyB0JK+AfyUV7Djbut3WLID5Mfd/m9CH +W+/GHxZeAMaFWUdl9IvIrL8gvgAv8i1eGqDb1RcGdkkuwCzl/LrD6E8D9YEy +WxZA8ZSvvxtaKo77ybrtC5DOq/YlEB11aDh8pdICzA99UIxC9+5xp9J2LUAc +eXtcKvrhqTy+Cc0FIJs5EAvRVlOv6wZ1FyBswu5A1fL5hBciXw0WgPhza+kn +9Ofz5bzN+xfg7M46oQH0eNXbBzXmC1A1KH9+Ck0dJnc9t1oABfqJviX0LxHP +x49tFuDcNa89QlxUEA5XkMpxwHiR+o9k0C52tprpxxZAnnuYVx2959MiMdFt +AZoErQP2o6eEtffFeS3A2qKkfls0p/8GvSjfBej9lmPkhXbe9KorPGABjj8K +f3oJbXpcTiAkaAEiRZXEYtETgVcIQSELcF2jMCIDrVLa5hZ4FeOtIk0/RX90 +UAs/G7UA7Wm8zrVom9oafb/YBdAkzn5sR1N3R2b4JizAR95C7V/oA2IZGT4p +C3CQqVhERtvWbNjjk74Am5vDxVdyUyH0ushVnwcLIHUhN0YU/bjtoYfvowV4 +sDqFKYce4uqeOFOE+bt7xE8bzRP1ft3ZkgXYJjbyyxwdX3N94NzzBViVbmTn +hC7ZstMs6NUC7Nh6ttUX/Uvxq21wzQLM1PgahqH3msdwhTcsgKGf9usEdOS0 +l/31pgVw2NulkoO+nB5pEdu6AJs09xQ9Rz/9Qvp1p2MBaEeDZBrRK0VaNt7r +WYBflWEZPeicaQla9vcFOGJpt56ADhhfcb5oCOujuJg4j76QmJTybGQBHtkG +ruHjocK1i8P21eML0Nb9Ok4C/UxlRe2Hacxf+RfenegYe4HmDgrmf+ZZ9F60 +WIJY4MD8AiTd91x1CB0fsPvd2OIC8FSNRbsux8sMr6SuYEKktR5fIHrP21X/ +ca5iwhO/Y7euoyOvECLWCjAhUPSgYCpa4aqqi/Q6JlhaCSUXol9cY/1UEWMC +t0yOWBU6e/fxFbCJCVfvcmR9Qks5+X48JMME+wrVrQPo6hx9DTc5JtyIUH0y +tVz+xxGj84pMOMzHocZGm94Ppt7YxQSa9cM3Qqtwvn0XPnBfkwk/3QX3b0Fb +HGoyKdVlwg5jqzZ1tNf7wr/vDJggu+R81BgtJtQm37efCaRUvb92aA+ug0LT +5kwwF5sIOIXuD4PMlQeZMHzjFPsy2tL+9WeJI0x4PvUyPm7ZXp9z1I8ywcGm +Z1MWOjk1SeLAccxH3funpWhGi7SupzsTEnUj9tSjj/69tRh2igmvWoXaO9G9 +w5Oe6WeYwBXi7/oHfarALrDyHBP8Dz2Ym0Oztw7LdlxkQpRNVjQ3LxXWHssO +nbzCBJ1bvpLi6GLTJ8G8EUxIX7G6QgGdN7RecvtNJmyvDTHXQzNUmR7Gt5iw +orl6+AA6be8Za49EJvDLfr50HC3DHfk3MpUJc0NP155F66Vbb87LYMIt9rHi +a+h2QTKr8SHmM27IOBn9/fLFa6P5TOi5pforDz05OV+8qpgJu/iOhL5EO8Tc +uqJYzgQiv+nGFrS5jxnF6gUT5tP5Xvejz78wEgp8w4StNQ/siGiPhMSutDoc +L8GcNBaaZ7PFnreNTKgf0E5dw4fzMTbK8s9HJkxM7NWSRpPW2q/ka2dC11PR +flV0+EiPq2o3Exp3vA3ZhzZTFz95tJ8Je301pWzRWgYaayN+MuHc5bD3J9Fp +FuBe/IcJeo73Tl1C26dYO/eMMeH9+sg1sej8Y9dY7CkmPHi590UGevv8732K +FCaIGbU6l6AZ5fFq9vOYzwZ5rjr0r560lshFJoTp2Zd2oG2rxbifrWDBgSo7 +h9/otuqtxJ88LMg12s45h36s9vWigAAL7IZaSrn4cT0QovNUfx0LbqfpOYmh +cxj+0b5iLOANDF+lgHbZfGt11iYWrA9OeamLJljkabfJsKC0MtjzADqK2Lb6 +nxwLSnaoiR5Hh1/aEqOmxALZkTcf/NHNp16UeKpieeMiF6+hfRUeBKfvZoG4 +ESgko633Uma+6LHgKE1/IA9NVWgV4DRkQdAa/jsv0VI++t3aJizYk/Rkfwv6 +551j+/wtWDAQI7HQj+aQNHYqOMSCkMVj5US0z0PeTT9tWdA3F+C1iM5+1hC1 +3okFPpfspQRXU0GCEHnv4AkWcNxZ0yeNFuw7eSTGkwWL+9IS1dA9G65VvT/N +AolMksV+tMLR8eYlfxZkPJTksUPrar0M173AgvdHJd57oW86Lw0HBbPgTPtE ++GX0THAfsSKcBUzeW3viVi/fX5wekq6zIGAtm5mJZhhlLanEsuDt1L7qUrTw +8Rfc/gks2F3oGFKP3mn45nVpCgtYxvv0v6Llit+JzKSzYOfXxcU/aINjfzfu +ymbBgk1sPXW5vtI6rQF5LAjtGovkEcD1xctu2crHLOA5usFsA7psqm0HvZQF +JyYlBBTRh3P2ftetZMHW1Nmv+mivTF2N8CrM//G0dCu08Ot+7cZaFghbCrme +QH9oVxvjbWRB4WknhXPL8T44Gx36yALpukvkSPTOCD/TtDYWjFufqrmLzh8O +o//sYoGM8o6bhWhKe5719n4WtDjUWlctH99Ldzj7kwVeP7ZJtaKHpeP53vxh +AeHtsckBdIZ/qNfKcRYMr/J+M70cX2zI/+A0C0waTWL+ob23ftyaQWGB8TzN +Yd0aKmxJs44kzLMgoeSywjb0iF/SbY0lFrCJbQua6GeV2cYRnIvAWUP7bIrO +8kss6li1CDWypOyjaOqLsFdSaxbBW7U20Ae9ITvsnL/wIqQQjpmFovO1ivrr +xBdh/6EOyQT098x1U0KbF6E+UHTuIbqS2v3UbesiuDvubH2Ornbl3vBCfhGf +5+KPGtHjK2pVVykvwvWknpBv6BA+YbqT+iJcnfO0HUNb527yLtdeBIruR5UF +dP8i6SbXXqyvH5tvtSAV7lk9sXHatwh6qasIkuiSj86fn5ktQmb1yHsV9LMX +0uRVVotQMZqcY4hWOSLw4YTNIgxLrb9qg274q2Nc5bAIF/19XDzRhuVvz607 +vghvB5MNLi5fz1Fu6eu+CMKBCdIx6G/y8t+aTi3CD63jKzLQ2cF7Vm/xWwQv +jX8jT9FbDvLMhgYuglLAhZZadM6/zGvfLy3CZdrbpx3olGnRBq0wjP+5P/E3 +Wis8pvRu5CJYs1ouzqEHhQX/m4tehNr4uOPcQlT4I1KbbHN7EbbFyJiIozlo +JXEVyYsgQ49V3oE+J0dTFUlfBMHhZjF99O8NpTcuPFgE+wN9HFbo1kNTMb2P +FuHo/ppJFzSnSaue7mPs347AvgA071mXzKzSRchnLDVGooVcG4o5KhchuvnY +87vo1TmrTp+sWoQd++48LERbVh3oba3F88+nJlShy3TyKaqNi/Dc42x4K7q4 +TKHu3sdFCJfYfHZwub61JJ1/bdjfOdmuM2gXlojHqW7sD/acDcdazOeq4j2d +/YtA3rPZVBhdd6e1SXdoEdZ5SujJogWUb7PzRhbhbuikihaaN5FvTHBiETIS +EmXN0Q8CHK6GzCzC1jy+TU5owwsJLYS5RfB5by98Bu1l21x/ZAH7m3qJPxzd +2inm/Y6N/bPfb2UimpZ/r2EX1xJ0vtRaykXLpLt+yuZbAhO7nvlKdJxvbKSg +0BIYKZrONaHPTOyYChddAo698bN96OABRx7SxiVwTiucmkDni6t9dZNegiCD +VCIL3XSlxbJHdgncDI5OrFlHBe5+zWAzxSU4kT07Lo1+sirJvmbXEgifcp5Q +Q/+gzP3dtXsJJnMyifvRx8OCZAv0luCL7bMpO7RLgvL6TYZLQIm7P3sKfUFU +83WSyRIYWjrMBaMNmDn8fAeWQCB3Yv4W2lY7Xiji8BKsSj689AAd9XlN84Ld +EnyUj1/5DB1TulflvPMSSPlm8b9HFw9qmE+7LoGVZ4RwDzrflVfU22sJTCX1 +NxHQynu6k0Z8l8A/85MsA91+peTdiXNLEE7cuYtfmAqquiV5gxeXYKXwST1J +NCOaqO0UugQMiUBTFXSL/9Xw/ogleLrG9ogh+pDo9UsO0UvwhMLvZoPOz16z +rS9+CdhdaWc9l+MpaEc4JC+BxOv58Itole/iyf33lqCwSPlODDpnsMXO6cES +2Jfq5GSgNTxOfBl8tAQdnRsqStDlBXTaicdL0CXR/qEOzdtf0DVSugRb7x7t +70RHqt1w965cAkuTqqk/aM65koLpqiUQ1J5eQUPXHd+ddb5uCaQD58VXieD6 +7r2WKbNxCXb861XZiJ70/JQX8WkJlMdumSqh6be4X/J1LMEFdbETe9E7U1aG +JPcswfRE0OVD6MdfByibfizBMbGnyW5omfxC6cLhJQhueFl6Hl3tFcqhNroE +YuTUTzfQlZeDUt8SsT3PDhDuocUMi4fMSRift29lMZpPRWPwG20JXnHobH27 +XF65QoIHawnSHvkbtaOZWnlUMgcbkukhbr/Qvbo1QhE8bKjnPh5JQRcqxg6v +FWBDbL9oPpco7ldS5Dxz17GBcOlRsxg6mPL4gbo4G95PcRMV0G87lOI/SLKh +DEBQHx36snmXw1Y21AUf1LBavl4pOYYoz4aQPA3HE2jO9sK0cGU2dDTNXD2H +LlPe7CSiwYZXE1eLrqNVCWu6H+uw4aX4WEcq+lFW0gowYMP8UdmFIrTZ34bR +b/vZoPhKe1s1+u+ZF1f9/mPDpPaWg1/QWsSoDu5DbLg19it4CF1Mt/iWbcuG +p20XC0lof0vpJB0nNgxR/nRzrsf9SLHEyu4TbAh1leNcj1ZptFPyP8kGGWkD +NXm0luMEH78vtkdb2U0XzVabyS4MYIN+JSXpALpIIIy4/yIb4jISGo+jBZ+X +Tf2+woZDdA76WfRpembBtQg25HT8tyMSLVxyfL1MNBt8d50+fhc99FhgT0M8 +li91IrkQHdr6bqNbMhsGCpQ+VqHp06llnOlsONXezm5FJ9JymfkP2CCUa671 +E53dxF4yy2NDzfb7/rPohENNVZOP2XDYu6FohRju94MFlRLL2DDnX/dbBO2+ +d8529ws27NyfIrkdHZcSrzXwhg1hMwZHddCuZ+c6IurZcCz43V0LdNmw4ZYd +TWzgn5boOoau+nlb8WsrG9JtDqw9i+bymZsM7mRDYYXNoQh0bGrcyW29bHAW +U7uTgo66cOZe2wAbim8SOgrQQ5sqIi7/ZkOVwPl1VWjNjAuysmNs8Hjee6QV +/WZd29XOKRyfYevuDaI5H/WkhFFwPIZsG5hBnzmf76rEYAPPcwGZFeJU0Cm0 +I3z/n4L7jof6DwMAfvvOuTtnpBKKShmhskf3RNlRqChUVoXKziwiQmUUDZEG +ISTRkNUgW0VSyWj8lGySZPwef75f36/PeD7PZ3nd3ewc76hck4swOtuJuDqG +PM/bOOyctxq95VeVuCbfPK+L0Taujv7tmt/0kzPP2xUmpmOCZvL3qKeKzPMi +HTRO26Ebxb33bhOb5wXlrWs5ip75EqJBWDHP8/GZXhqOPpyytOXB6nmef1m6 +ywX0xdADyw/Jz/O2JYgVZaJdh47ISqyf522aOjL/CC2iYTP4Vm2e5zB7eVs9 +uqlE0z1GZ55XmJ16rROt9Vj+FujN88LI/gNDC+9fN0yeMpzn+Yqu1SUuwfW7 +JWvz/W3zPOlf988Lo6fzHLPdrOZ5mrHCvavRHTcu1q2ynedtmDVT0UAnLdmV +2e0wz6s1czhjgl4SV6Wd6jzPczpl+NkObXp08Oxut3ke/Q5j4zF0gc7kZRHP +ed63FzdiwtFZfhP73vrN81hfhHovoBWuEb8kBM/zSph2mlno2vXqy7eHz/OG +DUKTHqNXvCxYzI2e572+7j9Qj3b7L7zh9dl5XrqkkeFntI1CvVZSEsazcfTm +MNpD6YaL9eV5XnKRzzxxKZ5XwleYLU6f50l+bLITQRMaDgx9vDXPmzMlPJVB +R5eeMLueM8/7JMgvpoku+S/B1fnePC9PZSjQFF01d19HrmSed7g856M9OqX8 +X/NI6TzvbImujiea8TZa4nHVPA9kctNPobMnj60Nq5nnpS4ZJiaj9X40DRs1 +zvP+JrNc76B1jjz1EXo7zzt0h9TwBL3KxLK48z2Wv+uNciPaZEve/TufMV53 +Ay51ocvkvrr7fJ3nGd+fmhtBS7dzv/J+zvOyju04SBbD/XmpxWL28DwvYeTU +60Xos02PGJ8m5nnvdc5prUV3f3B+lDM9z1vu4Jmphf7IepyoQyBAsL2C4Db0 +j9LArFVkAihseRa6D93jQRFj0whwapnSLy+03nKXgd8MAjwa8LONRFfUZkt0 +8xNg97Pk2hT0EufO/FoOAbRvntfIQWeMs9KKBAnAurI/5ylaNNDw1zURAvQX +8C9rRo+MXb4cvZgA9oPx53rQw06cTG8xAmy1HySMo7M+FHMdJAhgyFjlR12G +/d175ZPxCgKU/NnYvxjNGK+lqq0kQJ2KxH45tGXu9nhpGQL8qO1u10G3XdAN +EJAlgHR5sLkFuq/mWtWMPAFg2WjNAXTvjuBD/YoE8BzAoxv6lMl/xzrWE2Bc +81BpFPpiY397jQoBdNluqlfQKkPJaSXqBHh+bOv9u+j++okXt7UIkOI2va4C +bRYpYnJRlwC29Ji7r9FLNEnKkUAAa4tR2a9oB06Dn68+9t90Y85vdLRcyDIX +AwKk0ixkGeITvNl70lK7jAnw8syWXDE0t64hytCMAFc/CSusQ1veijTTtCBA +NaO8gIe+6LbHW96SALFLYYMl2m37nimJnQRwXJz20Bmdciqxi2uD5fG3aR9H +22mwV1P2EqBn/tuzGHRzzseGP/YEiJttMbqGbmPRW3/tx/ixk18XoE+nXtfq +cSLAFS0V22doxoX7pHeuBPh0Nv9L60L9G03k6w8TYD+HeOQ/9H+l/sWVHgTw +rlWcmkJrHN2SXnIM2/dSLZJfAud/ctWPu94E0GItFZRET/pOXbjpRwBGzrt0 +ZbTJrr/XrwQQYONtj3ULnzv8HfWalRhMgEB6V9lO9Ihl3MczJwgg3ym77RD6 +Gr86X3g4Abrkt3cFoZOovZcDIwnAJOzwPCexcJ5IifGOxvx0VCBnoL/yu3xy +jyUAv92XlCJ0RrXteZdzBOib9JavRg9Knrq5L4EAy3S6qt6jFQJ+Ld5zgQD5 +qqt296OH5G4NWacQoGVgy9AMWuLaQ5ntVwiw2B2iBCTxfL9uY5XpNQIolYou +l0b/3Srz1PA6xuPrq8cqaCHztMVbbhIgfcTKyhDdU5j5DjIJsPJX6ZAt+mqn +2W/dbJxfnTOxHugGnQx/7bsY7+ala0+iFfXybTULCMBpEKxJRB9xCk9Xv0+A +yY/fnG8vlCcqt1WtmAD6jAuUR2iF5uJtqo8IEGYnnlmHDqIrPVYpxfj0hhl0 +oj0gK1KlnABD16t+DKE7x9Y8UKkiwOGbn+KIy3G9z3ymr/qCAHpjb5RE0Fnt +YWpqNQTYfOVWmwz6G59PnHod5mfG9iBNNKUhU0+zkQA2Qh9WmKHhhoyddgsB +fv3RqXVASy8md+i+JQB3b4in14KfGD2Edzi/t15aGomeEaP+0e8ggEXVuRcp +6PGmrVcNP+H4vNt3NAdd5rIkw7QL51s8W6wMXRoUy9jei/P7T0pNM/rBrZxW +62+YP6IzPr3o3BMRxD19BDgwqSM9gU7IXp20r58AyTds39BW4H2oMu20yyDG +S8oyfCl6l+PfT+4j2L+TMhsU0C2aBsne47h+Vbd/3YRWGUi8HziJ4zPjmLID +XbCiXzn8LwFuKDUYO6NrTtsJx8wQoPagwJz/ioXz3aRN4jwBmgqUHsSgb5+p +IV4lEUGPo3D42oqF/19+YN+iEkEwgbLiHjowSDc0j0GEb7pP3j9DG3MJ2x/y +EyFWyiShDb2YoRRVxSFC0ZZHxn3oq0s6ljcIEsH1PoEyjT7/jyHRLkKEUU+Z +SpYUru9eLaG9i4ngdm5t8HL0LW1NvUExIuzl0jU2oHWkrd3+ShDhMfn57y0L +/rlukipFBCcv2+LdaO+dbd+FVhFhzLHJx22hPJWdmivWEEH7i4RKKNrMqmJk +nRwRFP6a/I5HT4ZJsHTWEeHwfetHN9EScWFxJspEmBbRDipBG239fdR2IxGM +1s3p1qJdY2MeHlIjQgIlnfQJLa9k6higSYTA22K1g+goASPvMzpE+CTqe54g +jfsv7fx/l3lEyHDJ3SmMTh6Rq8zRI0LI1XIJGXRokcJM6VYiGFTm/6eBPrP+ +RlqjEca3K6jQFK1okXKry5QIFwmrgx3QnyeWckbNiZCunGfghd7C0vpMtiSC +YgBXOBLtH04RXLyTCLM9O3pS0C+3ROfI2RCB4+dZkIM+ZPQ6a9NeIqhs8ggt +Q3uHDDKsHIjgZbB1Wwt6sGOg5eABIrhc+ifxBc227fwX4kwEG+344Qk0Y6Tu +bNJBIkxpE57TV07wNqS9OJXtRgSRW+bJYujz+95/rjhChNagoMPr0Fd0hNPf +eRKhrzFiE6B7lE+/GPAhQt4tNxEr9Bd9bXPKcSKYM5R+uaBjo/Q3iQcR4RL1 +zfOAhed/7l5QCSUCf+b21Dh0ctYp821hRDg5ku+bjj6T9e6oawQRJMd+mN9H +G1AfTJyMwnx8QJR7iT79YW3PlRiMH2+K+h69TX3r+uKzRAi73vjl50L5G0V/ +NMcTYcPnE1Uz6OjRHEp/EuYjSeC6wCrcn85woqkpRKgXCz0hjXZYZHlM6goR +vBXrHFTRU+WnynWvEWGR0TjPCH3rdoHXnuuYn17/pPai9w5/jTt+E/OnpJdy +FP3slTIrORPzQzzrRxjaac+tsaJsIngWGTVdQC96a8x7c5cIa8PqirLQ9/du +GBsuIEJb/NorT9DL1rnzCxRhf365hDWiXYJJcYolRDibFn6oGy0dRPMyf0yE +R/eCd4yhC1xOlx99ivmkYK1NXY37m985z/gKjI84v8wS9InvCrGFz4jwNi5D +UB4tN+PFfPuSCJYRInO6aNJft9HxV0TYxT74azt623IZnmgDEX5vvPzBCU14 +fH9coxnjR8yu9Ucf5RcXsHtDhG0nUx7HoNNdfBJPthFB9rFTzjW0ikhN0K33 +RBB7KJB6D33IWbrh1UcizJy6eu45+lpeyqmBz0SgyFLC36Ep+utvCPbi/C4y +8/uBfnuSsEb9G9Yn6+v2Dz3wWEjEvg/n16Wg/RyZCd6ebf6HIvqJkEjfv1sK +7Z+quSp3ENejiFUWKuhDZHfDNyNEMFlUa2iI7uhb8nZqHPv7ymTzHnR3wY6X +K/4Q4dCtPO0jC+8/WylpPE2EZcWDamHooai0bq9ZImiSORsvoJf4NDFSCSSQ +SWUrZ6FFh55deUkmgWzUwLon6OzDMUlDNBKQm3MVGtEH9m0YX8IkgWWokUL3 +Qv36DU/12SQQT69WGEOfP+84cJRLghwtaUXqGjxfP6KdvipMAqa9g/IS9GVc +sWtESXBEIGijPFow+97Q2FISbLHzU9+Edj72pnK5BAkStm3X2YGuE9f6a7aC +BJcHmXrO6LNaU1eDVpIgyyDT6Dj6vrlYZrYMCThOy7fHon/0FCx+L0uCJrNA +mzS0XcTLMeo6EihxHhwoRIfXHFZTVSZByv1G9xdoP538L84bSbB8c41/O3o2 +NO3PRTWMx6vrp36iN0gZ+1VrkmB2m238DHqmqmLvpA4JXnWPXRNYi/v7NOvu +GiDB7yiPu9LoN256Trb62P9tNaWqaNfCI5FxBiTQ3URoMEJX+KRxKoxJUOMo +1rkXnefQQxw1I8FctcjQUXSt8FaHVdtJMOg1TDiF7tH+uNLGigRdnrkiyei1 +Zwssz+4iAatpq2w2Orr4dX+VLQnUEp9teooec7AY+G1Hgs2vJHY2o5nGmrvl +95PgbOAej150mUya/AEnEtQVHY+cQDsUxhy+5EqCxhC/NLosnh+y2ILNh0mw +/4vVIzH06HN1aeoREqQPCr1dhy5+JZqm40mCseyiQUDvDXgS7utDglzJjUxr +NCld8XWePwk0bS+uOYgunIs88z2QBAJO7VuD0HauDbmSoSTYZ/DX+Rz6YTpX +3SaMBLXs2cgMdNRxp3VJESQwfNGb+QDtWv/2XGMUxtPrzqsatO+hIzb0WMyX +leb9H9BDq/TO6Z0jwcEv79iDaI2OfQonEtBPNm0gyE3w9u1/p1p6gQQlRWd2 +C6OlMu7nTKaQ4HXHg1AZ9BZ/8pmNV0mwVa3qtiZauPrDa880Epi8y280Q4v6 +6EcWZJAguCrk9z50hovFzYFbJFhDWrfcBz0dx5KXv0OCqtsVxlFop5YYSbdc +EowUrfe7gm4Wbw/Jycf+qUXdyEMf9CQY/CwkAUW7rLkSPVC+OEi2mATm9a0z +b9EhE3JL3R6R4OtQo/x/C+UzjVfeLcX59eDO3r9oLVr45YFyEgRKOZ9lyeP5 +/WtvgOIzEnRuIVUsRydlBL30fEmCbWtOjWxA22zeE/zgFc6X1q8rDdCuTfFp +k/UkYFuvsbFFd1nIyWs1k+D4A7NzHmiXBo1VJ96QQHTG6sVJNHN7/ZnnbZgP +GrrTSWiz34M29A7MPx/Ghiz0qvqii2afMH8elrg9Qat1rdFJ6iJBB3vr7UZ0 +hamdRUcvxvvUw65u9BKlfc2S37G/K5hi42inm7wnLj9IMDzC20VTwPF/zuLm +/yLB0vndF5ai44vfvZ0YIsGxnZZvFNBVqTlE3TESXJtT5ALaLu3StdO/SSBM +HbKwQid8LbjVPEWCEJ/4BFf0t6tzoktmSOBmLfw2EC07kDx5YJ4EkUWBIufQ +efyRenkkMiy+/Hx3BtpBrmN6kkoGDe5Q6gM048SN5Xp8ZBhZNdNTgy7WGy48 +xyKDV++AzEe0XP7rgg8CZPhtUXVkEN0+Z71URpgMm4L9SwjrML+Ox414i5Jh +5ojAnDBaeleEStVSMrzcEGe4Br2ky/Q7W4IM8m0/E7XQ03smSHYryNBsJ/95 +G1pG5Oy53JVkuPDeQvYA+tUu6dN/Zcjwyny3vy96yLvmp5EcGYKaNr+MRtc8 +jH56eR0Z5uwFhFPRj339pn8ok0GVv8qxAC1Bu56lqUKG6G6rB8/Q/q+Eq2LV +ycD3Xz3l3UL5nK8GnVpkUJJdvfsHul1LXFtxExlyHjjm/kMvzW++FraZDBsT +IuY4ihO8lbV8Hq1byBBRF20ljbYb6cyWMSKDkduxHFW0TuJuqyBTMiiHahGM +0SKLYtybzckgzf652w7t81/YqLQlGTJXBRceQ0cGmH8/vhPb1zzCF6G4cP4i +GjbZkOHSIhPnFHRiVrboSjsy+FKiK3PQNfLW1oH7cHwy7ywrRxeYChNeO5Ih +nZIX8BrNCv+9dI0rGXLlL7Z/XXhuyLx54jAZbFfvV/2DNlt54HK7BxmqZwSS +mUp4f7zMN6voSQa/slu/JdCVG4VfR/uQ4fixZbvXo6MCzwn2+pMheMXxJ1vQ +Syajn2kFkUH740NxG7SrulDPxVAyxN/5GOaOPtmifWQ4jAyKF758P4EW3CFy +2CSSDOTsZtMktMTOu62Z0WQoHkkvykQP+HDziXFk2BNgJfZkoXxjq9/258ng +bzxwqhEd4hORV5qI+XLs8EA3+lBS4dvFyWSgTdTvGkf/Meg/6HeZDKJfuc9p +yrhfaINHayoZugy0FcXQkUufd6+/ToYnciap69C82JPPE27i+1d0+Taji3XO +iIxkkkEsbVGANfpu5693Fjlk8Nj8tu8gemZ5Ka0wjwz9CT42wWidctIdbiEZ +Lqb8rTuPzj3y7qHXAzKo2Tvr3ESfHdis1vqQDO+GH9wrQduO7F6tWkoGddsf +K+sWnm9eE3mpnAyc28QrnWjXW5WW01VkaP80zxlBJ7xVTrR/SYY+5tfT5PUT +vKL0WDyDkmG3zt1ZUbTv60771Q1k0A228ZdDv1VSH4hpJoP+2/5hXfR0Yk7/ +0BsyOJg5uu1AX63Xt7V+R4aiiYrvzmi7u4s0SjvIwGgnOAagGVyl6BWdZLD8 +t6Y7Ds1tuW4Q3Y3vH1Oxv75+YT887j/0hQzPdGU6i9BKb2pEd/2Hzz1n99ag +//t4bU3FT5wPwqWdH9Bx1Xw5MoNkWLrezmEQXRYgkRo/QoYzbV97CBsmeM8/ +9M1OjZPhPmOHswj6dXvAG8c/ZPDpuPVjDTrXuWdR0zQZps07j2ijZ7wVG9Tn +sH3Hp8fNNyz8P8979CaRAlZ2c0GO6IHP5Wc4VArMM36Q/NEXNyxPDGJQ4NiZ +R3Ex6F39Wcw+fgq8+u6xKG2hPpLLbysBCtTKMzIK0Wmhh3c8E6JAjkuM/Eu0 +ldNLSSVRCmxKH3m08D1S1aen7dOWUmCsR3frL3RxbDmbJUGBoxperXPoH9+D +lYJXUGDwXqyj0EZcfz68ft6/kgK3LWPHVqN7vRpf7VlDAQd5zwhNtFnNiU0N +chRYs1Vn0TZ08/gfGR1FCujcHbqzH71T0Cg8fz0FXh6K1vZFf9Q8uW25KgVS +z9BeR6O/JeTHJWpQYGaRh0squn/DV22KDgUY4o//FaBXGio7HOdRID6zP+k5 +OvnP7bF+PQpwK8jy7eg09x1/HQwoYO9JfvkTHfRmq3erMQXKX/20n0U/t0my +N9pGAdWWh1NclQmepZrh0/LtFJhNdLu4Ch1+1TduozUFtJdR12ugI6rkmnN2 +U+CDX1SzKXqiNzBixV4K7M0f8tiHbtX2vnvJgQInGnVZPujLAqsMBBwp0Nzl +kxeFTky9bhXtQgGp4YRtV9Esmd+t84ew/4zk4Xy06D+VVwEeFKhXC0t6hl7r +eGzd2DEKZEZaqr1DU3KKaR4+FFg6y//pBzpy+SKr//wp8OJuXtjMQn1iN4QO +BFHAMVVlDVcV7xvDh7Z2hlKg8P2t5pXoh2Mhv3aHU8DafdpfHT0QOUhpi6TA +zwMaK0zRNfP1idvPUCCgxr7eAT1XvTqpKY4CWrfd/LzRPA0OzTSeAmG0fVJR +6J/lFwdrkyiwbUqr+Qq67HmdkWEKBVadngvORzcVlC+uuUIBycc5cs/Qa4bD +9mxNo4D/NZ2PbWjO5ErB6gwKOOk+iv2BDtF4pL31NuZj1lKdGTSsM/1YfYcC +vC9OQwJqeF82HRkwuEuBJzPJN1aia7mPfGoLKNBAKNypjnb+e++oSREFJv7e +Z5qi+yN/fW4soYDceGqVA/qhTtAziycUGP9z5Lg3Wi7bY2lrGQUuCa9VikLf +2t76fVcVBQ7vqO+7gg4or5D59IICd8usb+SjDcN5nfteUeDk/ld7n6Hz17nS +vtdT4IyR9OJ36KJd+pluzRSoOunS+gMdnNL3eOQNBeoEExNm0DZRTpuPv6NA +DV+mOVcd7/cVrzbNdVBgg88N9ir0ta+r7p/upADbNqpJHS12Je4yu4cCyq+s +zpui+8NZv5O/Yn21fNv3oWWMH9dI9lGg4lC2kA966YXr7Ox+ChAfKLVHoasE +W+vWD1Egsej61ato42Cnf09HKbDMZ2pfAVon9MBNg9843+c1ZZ6jhxo+V7yZ +ooC+s/PgO3So9M/t9jMUSLp7vOQnmqt70ebnPAV0e31OzKILOobf+ZGpUMy1 +NRLUwPNvKauORKfClq1rhFejI2/8W5/ApMK12K4uDXS7ZRNXkkOF7F8n7pqh +DTKSXPIEqaDtywjcj3azslPWXkSFh0rBhr7odE1tr/olVPCSfS96Bh2yGtbu +EafCZw/xvlS076/gnf3LqXCMavr4HlrIeX4qaCUV4uccY1+gj3p8EmKtocIL +J2f79+gLPStupclRIRYs1v9Ci6X15CgpUkEvYyVtHt0cJb/m+XoqWJ3v/SSk +if2NElq2U5UKNqIxRTLopLCs0z80qFCjLxarhSYfmHIN0aHCrFSyoznaUmxp +JReocLbsr7YjGtKXns/Up4LIciNRf/SNT8w2LUMq/LUOG41BOzfMJrw2oULa +4ZtNaeinh8jVruZUKD1UkHsfLXRXwXN2BxXy7W+fqUaHp8QmXdxJhZ9WkQc/ +oGeUFBUUbKmgu9vccBDt4L9W96UdFWg+pLVErQlem3dstd1+KjwoyuBbhBZX +dan+7YT1S8kOrEUL19bpxB+kgmdjaosOWke9Tl7WnQrB5VMPtqO/X/VNenGU +CukEuOKMVuD/7OngTYWcG14nA9Az6cKv/vpRgZJ3zvUsmuQlm5wcSIWd8hfN +M9AuGUqf1odSgSN/Wr0YvdRC/UpzGBUGHu6Xql0o/9qOFvdIKjh9lGF1omuf +xofyncH2Zbz/M4yWbCHdvhNHhRZRn29k7QleN6VMzyCeCgUGf98sRmslNdp+ +T8Lydd2q5NEZN7b+jEzB+FBq7vHQ6z00RlddpYJMLivDSnthPXnoVZ1GBX2N +TYkH0btWvHZzvUEFqad7IoLRUycuddIzqbB6k6N/PPrlGYlXOdlU+Ndo7XYL +bX7GR84sjwrKPhv2PULT6nNpw/eoUK/zz7oBnRXftjfpARXMVe+ZdqPXypDk +1B5RQemQuf44+nrXFq+PpVTY3tuhTdfB9ZavYP3JCiqo5pmrLkMLESzcVz2n +wvW2e0pKaGFJTcn6aiqYuM7I6aOTnoaaeNZRgXFEZc1utK+K4ohoE+bvxO5V +7mjr/r0CFa+p8IF+UPok+gxvSbZLGxVsHxyQuoCWuOlbyu6gwnmSkdQd9PPA +UwYPP1HhIFFM+in6PyUrs33dVNj29P3KloXyNaYaGF+psFInXOYr+j4torro +Pxz/eFG5P2hgUzXt+7G9zy4p8utie1/GyzCGMF8+U1SWo8Xuqpx/MEqFyGF7 +rY3otk1Uz32/Mb7kW5sN0X4zQo38f6mwbFWb8V6049FjNx/P4HOHUctj6OsS +CuMuBBpYlE/bRaDbz++pEKbQQH7byMFLaDdLFuU5nQaBS9/63EX7T1m+9OSn +gZJiRlglWlsY5pcL0KA/Zc/51oXnGt+LW4RokLqPmNaHnpu3+n5SlAY/LlzM ++4cuoacnKIvRoJQnUi6waYJ3c6jtYa8EDbqOhjWvRC/Zw7S5IEUD2XUfetTR +If0WvltX0yAhSnLCFN1j+Ih/ai0NUqK2M/aj3aQsJe8q0MBV85iEL7pIYkOe +gzIN7ucGbTyD9ho9VCKkQoO1/3mbXNu08HlGhtYrdRpM/dntWIgumJLSCtGm +Qe0v2eCXaPdLr0rW82hwo+nHxQ60wwAzv0+PBrSci/cG0Anls8vTDWigFruu +gcDDfKy9z9lpguWFPOgTQb94qxHIMqeB0DkZqizaJOv2vpc7aBBWE7VSF20q +SH8espMG0qptejvQGj1eGaq2NJj7xnFyQa/snZwesqNBda9aZCA6e+DOm+z9 +NPBWN8s6hxb5mLLKyZkGzDHzuhvoe5HvxiUO0WCvBG+wBO1c58f74E6DgGpx +oXq03dkYevIxGqyc7FPvQl/IkTbb4UODjKcZDmPoWYYVm3OcBlpShlE0wHy5 +qmDaEESDyxs/FYih6w2eUWNO0IA3Z9ehiN5KXKlreIoG7ucaSfponadOo1T8 +y/EBWcXdaNKBZOnqGBr0rPXb444eGqt7HXmOBo/MCqJPosW9hWe2JNJA2+Vd +yQV0bHvEbWoyDT6G9n+7s/D+qnX1NZdp0H5zUKQMbeIkdeTMNRrw93RtfY32 +SPE+Z5JBg5zNFce/oUuqN8izb9PAsTUudwrdSPc1eH2HBs43DLtYmyd4t92N +ui/cpcH3R6NCUuh64vPfu+/RIFM61kgVfeHrWIz4Axo0DnJPGqM3rRlM7X2I +8Vwd9dAevX7oufydUmzvu59DXughuyjNIxU0PF/orI1CqyYYV298jvndHOJ4 +Ff0zW7JlupoGccp5aQVo/c+Ldz+vw/Zq1X94jnbbbWgf20SD0b/tou/RO/Uq +ey3f0KAy8K31L7T228Rvy97RoKCm7MI8+rzmG5fvHTRwGEhuFdab4I0/jne5 +10kD9T/2ImvRE2e6vwb20MB6XGSXDnrPt7c9W77RIHeg9PJ2dDsnxI77gwbb +hi06ndG1FoO7On/RwIvetiIQvWhY43X2MA1UNxu6nkNXaXrV+o3ToDg7J+8G ++nNQNk//Dw1kTP6Nl6AdKKOqgv9o4LteR6ce3Slnf7d7jgbzbh6nuxbat2X+ +egGJDgWksy1j6IzCn8InaHT4SEkVo+vjebVekW7OpMO10Cuuy9AJ4z2Bkhw6 +SAdGP1BCB8QLeQwL0iGa7ELcgq6ltH+uWkQHtuyG7Tbo15W6LUlL6fDs99B1 +D3SfrB24SNCB7p86Eqa/8H0M/fUaUnQoLFHXS0ZPd9Bu8q+mw65nLy7moK/y +PU7qXksHUibvRzl6qOIwuViBDr0ed3Xeog/4KU6cUabDytX0pP/Q+veWuDio +0GH+g+WPafTBca1dKhp0eHnpPE9gC96nnt15xdShQ5lb6aWV6OSbXk96eXR4 +7dA+oo6ekLsr/0SfDifCvpiYoX/2uUomGtJheWdX5n60kuujxMOmdCgNbSD6 +ofV0753Ws8D+e2U7xKCF+A9ML7OiQ88Lv7I09IND3cO/d2H7wjcuK0Jv+qPj ++noPHfaU9AbVbFn4/sBZ+7sOdBA9EvbpI7pOreddlCMd3IsFdIfRecqmLY6u +dLhzKf46eSvGZ6rbmOeG8VhJIC9BL990f6v4UbTTgYMKaJt7b57/9aLDfacH +jYAm0a2fvfejw8n1kxt2bl34fLLJ5oeBdGjpkL16GP3WqE4vOZQO1S7mpBNo +/4Leat9wOvz3zck9CR02kFVvfRrHw9HtXRa6ok5+h2oMHSL7D8BT9E3BCFvR +c3QojzHJa0HT4yu//kmgwymzVUu/ocv5JoY/XKTD303DUVPoJ3s2nii7TIdD +R+7+Zhng/m2VcP76NTqc+WbjIoW2b5aQisigw4bCP+9U0Q13h1QP3qaD/edo +QxO0deWiJtNsOtAC+Eod0C9GM/9TzqND8NmQdT7oVUpFp0QL6RC0pvdGNDrV +etuNmQd0sN6pvvgaeoVFrN7XR5if0ifPFaJVRUJc65/SIeTqY0o1+kSSKruo +EvOr/mvIB3RbaZ3a1Rd0yKskTA6ii+JMv556RQfh0wKeJMMJ3l9is5BHAx2m +1nB/iaJB2Ll6ZwsdHItJB+XRavUr/vFa6VCj1veVhzZYu7hY7j0d+p+WH7BG +p6ruGVn0iQ4vLKJ6DqGrKLP3iN102DQP+0PR4qlC44Nf6HC9fbAnEe3ILnjy +8T86yH4565iFLgr4Qq7tp8MNRcnvpYYL+/PzNyVDdDhde+NQCzo7xnHl7TE6 +EMoWD341XPh+RdtU0iSO/6Iw7yl05xN5y1PTmG9fPk6xjPD5hWAl7zk6LFFc +GyaFzpJ9n+BIYkAe9RBDDb361g5/KxoDovyuJpqg9RTmurcwGbA4tnLZPvS+ +2eEmNQ4D2i3eZ/mgE820QFaIAUmtvRvOoJeYj6iJizIgVqq78hpaaPPqIgEx +BtgZtGy7j7Z1HbhPlmTAFfOizmq0+JyN2pQUA1oNznh8RIeYneANrmaAj/aO +2SG05K1jTV9kGbBIkx1PNp7gSZtCT8c6BsSblUktQV+/SA5oWc8A+imHEgX0 +YEvjxRpVBoT8N268GS1idU+tQpMBE6dDuneiD52ssH+oy4BzR6b83Bae57GZ +9zYz4HbOQfZJ9ArNQu3srQxoMKjPvICuiH0ydsOYAWk7VvCy0VpMXaVr2xjw +uP3whzL0emnz0ZQdDGj6kuX7Bt2tS9BM2smAQ6fec/9DDzW70s7bMmDF83/5 +0+gi42TbWHsGZBUImwmYTPCCZK5viD7AgDjr5b9Wovu7LiVGuqCrJOM00Amj +Sf6nDjNgzbygwja0e/et3rAjDFCQ+Nt0AC2k1PX2pBfGZ02bpz868uBOk5N+ +2H7ZWyJx6CRBCaOTgTi+612fXEd3PjNqPBnKgIumEvuK0cdJA+1h4QzQjayl +1qF57mKHTp1mwJ++g/mf0ZOX+05GxjDgZ8S/nWPoepmDktHnGODvHDFPM8X7 +44M8/dhEBlxKmc9ZhvbuaRg+l8yAhzKeO5XR81Yd0klXGFAq9Y64Fc3/6Htn +ShoD1C4q3rNFsx/TJa/dYMBsbIj9UbQH1fK/G5kMqBSqZEWgy6w6VLNzGKCs +MVl2CR1jU8C6l88ASYb00Ty0a3Of28P7DJCN11vxDK3mfXl7RQkDNn7c3foO +3UFtK695gvn1+0B0PzrXoqCopZwBc0P7debRpcLaSh+eMWDvW+sxYbMJ3nbJ +8xu/VjMgO083Zy36ne7TysE6bE/ssgO66HS99tapJgZYBw4ttUQrEMaPUd4y +QPX0w1ZXtJH16ovcdgYseepzPhjNXhIOEh9xfNbKmCQslL9WzE+uiwGJHU20 +THSoO2WDxhcG5H5we/kEnVdjddzgP8xnjdlTzeiPUuJbd/Yz4CrhtN5XdOkh +r1TnIQYwgESeQj8+ezDId4wBhmS/l6xtE7wtEUJfIiex/t2fo6TQ0hD1Nnma +AUFG2iZqaMmydtM7c9j/r+c5pugH04vNn5D4oESto3Ufmjlj/6GBxgch2xZf +9UXfe1422MXkAxlVswMx6AlLo7gxDh+cnvaXTUcfKxUpognzwb7cS2NFaC5L +zXHZYj6o3lFQ9godu6sqVXkZH1yYLY3uRJcWvnIwWM4HCaXlVqPokY3779qt +5IPa5IcraOYTvCNTaeE+a/hgLjVzSAwttjq5N1aeD4Q/xpYroU932DbcVOKD +Tfau57agqzQIvKcb+eDXeg0HW3SX9zWdNnU+CHUhKB9Fjz3QezmozQfRlEpS +xEL58vR2OvCBmbhv+yX0NGfOS3oLH9g+WX43D12con1Z14gPOD+fhT1DO061 +Gtma8cHIoz2729G5wZ8i/LbzgezGfsVf6H5HV+Mkaz54c9CTTrDA+Tx85so9 +Gz6ocBzsEUEzD+/2bbLjg8/KB57KovPE//vwaz8frOpuSNmEltpnXM904YOU +oHU+Vuj08OStcof5YCc3avsh9GRHl6nJET5Ymf9OMRQ9U6n52c2LD++L4pwk +dOTF0r9xfnygqbxnKAtt+czvRn4gH4Qrx7c8RZ+6fbKtJZQPeB5P779Gb7k5 +kDQWzgeTw10Xv6OL5d90LoriA1Ld34BpdHPu5iLNWD4wobAcBLbjen3ZUtjh +PB88K1i0ZRW6/cgSQkQSHzx/Jyqvif599U5AdgrGI0pA2BxNuCkS2nyVD5oa +5/85or9RfNm/07G9j/q+H0drGn6UFb/FB192vHp9Fj33e+9b/Tt8cCQ3vewG +eksSm+5xlw8eNR3JeYj2v0euvXiPD87VqlxqQK/6armo4gEfBGaPn+5Bm70Q +GO57hP0LyvX7ja74Yb5TqIwPTE1tXZk7Jngp/auMdKv4wG4twWY5Ossz69Wh +l3xwT/K6iQpaRfxH68VaPojRVttkjD6VPOfxrJEPXsRVb3BAP4yaSxp6zQf1 +4tvW+qADr85sFX/HB4f/NUqeQQ9Fs6NMPmB+qGwVTUObUQ2sAj/zwZn2Ek4R +mtpUmp/dywe7BiUZr9DZqWHJHd+xP1FhpE40Z10ek6+fDwzufZwdQYcZWbK1 +hvjgvO+6aarlBG/tg+g09zE+aPka8EcMXadx4GnaJB908ZX/VkLfyht3fT3N +B0YTfye2oPveWWWQ5/mAXaj02xZ9OSnloDqZCStMHCaPoufKX5e505mg9/r0 +VARaXHlxRgY/ExQtsv5dRsc3nRBsF2DCgbbK+Xy0ynFxQZYIE8Y83lJeoF8L +UK/rLWHCMpkuZgdaNG7b00BxJnxhfRUcRGe3MV3vr2ACU6l3KckK15fuHdd/ +rmKC7JUO6cXobzfUD0rLMkHetk5BAZ0i8KZ87zompAc/UN+MTlq38VbyeiYA +55L+LrTolPfi16pMkJb03e6ObvTPFOPXYsLZxyYOYWj/u915BpuY0N0vdiQZ +3XZbrfmUHhMYz7+F5KJlfCtPVBowodY0+1wletfa+IoZEyaQk12ut6EVPpae +07Jggv5d8aKf6Po7uwcCrJhQkNpUPYfuyw76+Gg3lu8T8FHYGvfbfxo2f/Yy +4RpIjKxFtzXecVHfz4RUgTLaJvR26CQFODNh7ZC1pBV6Z8QvpSeHmGD/s0/t +EFq5un9g2oMJHRy/7aFoUBvW1PViwg33GbcktKsQZ3GYH/affSLqDvp5ol3k +i0AmcIjTN8vQQ+PD4fQTTDCz9qx6g/YN/CxgdooJQSK9Xf+h0121FBOjmPDS +3GzuH1qMKv65PRb7wy2SFNyJ69PtS+IS8UzwPygEMui5C88HnC4w4cn+I47a +aK9VRdvuXmJCEt+L09vRuwuDeeOpGO9jwrku6PjLKs+1M5gwf92hJWjhd1DV +xt5F3mZCcvbt3/Fo5Z91Qc3ZTNBN+S6eiQ4Qf1O4JJ8Juf5SW0vRIloSAU73 +mcDbbXO0BW1898XrghImHNwae/kbOuX7h9LpJ0xwMX/04i/6xn4/NcMKJkyf +7B7m7ML95sJd/YvPmeDQR5JYhab+SfzSW8MEuSQpU020nMAmYeUGJkSd0w4y +R6sdqH53ooUJu/q25zqhYzx15ZpbmVCYd+BTALqo/ilXsgPnw68j7PPo2umd +MUc7meBc6Ae30MrJUhcre5gQxxfo+xj9XFVlveB3Jq6PATlN6CGfW/udfjJB +p8C7+wuaMhgp/XCQCdkih0WnFuqDIX++MSZs3rrXnL0bx2fRb3v7SfQ242hp +9ITovff3p5lwWmvjM3W05dD6b7R5JhiJLZ0xQ9duuxBhR+YH3elpdUe0WN+P +kiI6PzT3dfgeRw95GQXzsfghZqSo6Cw6peBV634uP4xIxYzeQBP3hFQ+FuGH +mpi96x+ho7RCNgku5QcjVTnvRjRH6PN2Nwl+8N3w+0EveiCnePKFFD9onS+b +nERPvluiLCnDD+W7wrRYNjj/XZfPBsjxg+oVOCmFZm/osm9T5IcIp9mXamhh +jrul8kZ++PX8Ib8ZOr/z08ez6vygXu1hdQC9J8Tgz09tfpg6vvyaP/riu6o7 +hsAPJT+av8ehRxv3D2Ru4QdYHax8A51grlNNMeaHdq1VIQ/RN00Pb3Dexg+e +6vW1DeicJ7MbX+7gB4e1R0R70WsvCtSv2sUPGcvYLpNo8tviidN7+OGaZG4x +vy2eH46Ri/sc+IHK20KVQt/2FmSYOPGDdeynXWromu8TI3kH+eE4xzPHFO3y +5sVRrgc/jHYQZ/eja7deDPf15IfgPwk7/NEeO0JkP/jyw7PjEnfi0FqMJNdN +gfxgfPDObAZ6R+wvjduh/PC2VXHnQ/SiyfQM5imMR8OD/Ab09OHnaV5R/EDe +q0bvRftRPZQ/xPLDcMLDA5Nok3/3bTbH88OxIJVy/j14vjmeK5p7gR/aVhcu +lUL/ynJ3E77MDxszZI+robc+47cOvcYPxX8y3pmi7Qk3Wvsy+KFOU1T1ALo0 +ffNPy0x+CPWNSfZHj7wnJ1fk8INcyfRkHHrTxGy7XAE/VPO52d5AJ2gY3LtU +xA9zJ9+XPUSL/R6ToD7ihzOr9aUa0bGBYit9nvLDfkZ+VC/6jGhrRW8lPwio +LRqcRMus3ji6/SU/BJYFW7P2ome2l1bV8oNNTk+ZFFpoTk9sfRM/7GJukVFH +VyYuF7z5hh9CBjMTzNDRS2fThdvR+2kzB9A1M6MvTn/kByEvl0PH0cr5ImFT +Xfwwq/Di3Vn0ZGpwq/tXftC8uXzLTXTuZt2K7j5sX1fQg0doyjJPsB7gh8Th +tpVNaNHrcnvqRvjB/eu65C9o2vYIft5vfnj46jR9Cq1WkmBd8hfbm9sZxLbD +/N1zWFVhDuN1ZcOwNLrzzcqCWyQWLL4Z7ayBvnyrvWIZHd366eM29PX9lw9e +5GfBeU0lSyf02qKT2WwuC7K/htcHoOfW3QqPFmFBQner/nn0W4+l48SlLLig +tbriFnpE8u9MiAQL3pP8NZ+gk/ttrk9JseCwQU1JMzrO3+KjrwwL+oVEN35D +RwaN54/KscDM3+X+X3RWzl6xY0osyD9RrCxgv/B7OunLBzeyoEiTfH8VWvxo +a7m7BguiS3Zs0EJ3hnB/9+uw4M389WIL9Nd8j2q3zSzIlRlSd0FfbZxT/LWV +BV3qOmVB6Ijbn9d7mLDg+ubYzQloxvzy5kFzFiTv6HiVie4v6SR7WrGgwk/G +4im6KFuudWw3C7TKfN+/RsvcXaHjb8cCsY0v9v+HPpnybtP0fhYM9Qn++rfw +/q79n064sKD9x35/QYcJ3r+O94IUNxaM6heSFn5nO5Vs9SXmKAtM6IQEHfTM +sx9mXB8WXIXtkpZoR1bhjkvHWfBvNiP/IHroc+WIZAgL7zdjuqHox3JKcnfC +WKCsu6UlCX1oRGRO6TQLnn9MOZCNLtU+4/EkhgVBKv0T5Wh/oQw//fMs8LTZ +FNOKrgjzWdqcxIIY6wuSP9F5iUttbC+x4Lfaz+I5tLltzvrvqSxwZ4OZyL4J +3tEJzSyvDBaY/3fpmyx6T9CXkrnbLDjdMhLKQ4uwSvefzWGBxHuTJTvRNQ3v +s8QKWKDKn/XADW3VZXkmp4gFVYGk7WHohwF6VM1HmB/K+weT0Wb15RJ1T1nQ +u6ky7i7aa+7TG9sqFqTdXy7/DF1vUiz16yUL5C+FN7Sjf4zZs0PrWHBm9pvH +ALpVc+SiQDMLVMaNBUj7sX02px7ffMsCSlRh0WJ01FX5ALX3LJh4sWT3OvQp +C3Jb/Sfs39NTM3romy9WNO7rYcGBoKGbNugv5qn7f39jwSzHzuQo2tckNjHu +JwtORTeMRaAP8lP3SQ+xgDSmc+0KOntMuu7JGAu87QoN7qEbDv1r2fGHBevf +rR57iR5rzfTp/8cCO7e09I/oSzc0iyMIbFgkt9hsBN2l3ZwoQWXDVekL09QD +ON5iwazHfGxoPCCYuwzNfL57lRWHDSaTiXvWo4+mB38YEmKD1pAIyxB9XGVO +Pm4xGwx2X62wQ/sK/Vm2VhwHD6S9vdHdD0NzqlewQflRnswZtOeDnDan1WxY +XK/ZmYZ2u5yURpJjQ0B0XdIDNExYUG4qsmHL7F6TOnSJ81+G3kY2VGmOkrrR +k/FZd7+os8HYNKZsAm3JOjYQocMGc1h1nOk4wRsPcWtYvZkNvjLPN6xAhycX +GtVuZUMYy2lYFT1KsHV2N2HDOQI93xQt4RksKWDBhl/cAvcDaF6i0vEHVmyo +M7WRP45WWH3uqI0N9reSOnAWXTZylzJnx4bpwIf5Nx0XPv95S/P2ATaIxbp5 +PnZc+H2os2xTVzbUzkqpNKNLJULDxtzYEP61c+or2tntfNLVY2w4bJxa8Rdd +8/m9vr4vG37q2p8WcJrgkXZ4XRwIwHi3SG9bjV5xxTsyJZQNf/kHFmmjr14e +F958ig0TxCfd29HF61n6A1FsoFTF5Lqi003aBC/HsYFg7eAfgnbqcArbksCG ++41q+kno7c/enh+9yIZdGsKC2U4L/8/Q0L1+hQ3MzPHucjR/ZEHctnSMn1TH +vVa0jaVp0MxNjM/TqrCfaKbzGr68O2yIP5VvOY82q96jYZfHhoGI9NWLnCd4 +1sGzdPZ9NoQ2X/grh644tyagooQNhzzPNQPaW3T0jGcpGyQC4m7vWvA6b62V +lWy8j50L9kBv/Pb8bPsLNkiPX7Q6hW61/3cytpYNk6cyFC6jVz/aKMJrYsOJ +okJaATpicaTxxBs2ZMVX975Aw33Kitx2NrjIdpd/QOfkNV3a/4kN/edmrw6j +h3T/FC7uYUNuw4pAqguOT+oV95ZvbFg+amSzDM0kNr2K/smGQpa/xnq0Xm5O +NQyx4aNC9lJD9OMvhi7TY2wY3tf9zw59ZrAyq/gPG94WL+v2Rl8WlYs9NsMG +R037F2fQ2cXpAvJEDhTN3MpOR/cIqan3UTnQwxo5X7zg8wzibSYHjgVs9q9H +h0QpHjkgwAGq+WWHHrSjbVXwchEOEK9NGE6ipb3bFbqWcOCP564NLNcJ3pR2 +TFiaBAeiPpVLSKPDJUf97aU5sLJfjqmBjo2W4Uqu4cCau2l/tqEzpzabdctz +QHKd6H9OaLlfe+VvKHNg9MTFd4Hotg9n851UOfC0YElNPPqzyeBbGS0ObG+4 ++SgTHVqXnNq/iQMCXzfkPkWv60qn39PnwDtKXdobdJ6w1GJfIw683OSS1IcG +umq95jYO5F6nn5lFW1qPryBYckBRrfCE8MEJ3v5E32WvdnGgj7vPXxb9w/7N +k/N78fkmkWM89DVn6Zld+zlQ09hyaCfaZUfYl+UuHDBpSHRyR+9uJR/5eZgD +zkZ79oWjV6VWpz44yoE7lrJ2l9C6e7uOnvDhQPbUnG0+OrvF9T/jAA78Z/TJ +5gWaW3mcJBrKgbWWFTYf0PcHZV98CeeA3Mps22H0t+UpawujOBBUf3kv9dAE +T1Hi3YYTcRzI35XgsAydUjnfa5bAAbP2847r0Wu6FNXEkzm43108aIj+YRys +NHCFAwd+ZRyxR9/7PttUls6BrrRiXx90XkqL4PlbHLh7oiUkBv10E9+/fdlY +37XR09fR51+9iNmQz4EG6rKEEvSTlUsqqEUc8K4zTW1Azxkuv/zhIQeWTUbc +6UWvUBpbXPCUA3FXXxT/QfNac3Qjqjhwspr5gn0Yz4/q+/hsqzkQf9r27Uq0 +p518sFI9BzJ/3vuiiZY2XHOB1sIBBQJnwgKdJeKxo6uVA1PvfWiu6Ja3Qg8f +dnBAO6x3aQj6+TmVZ/GfObCIvlsxCd3l0e99+AsHIoPb9LPRD+O3Nej3cSB4 +wHZPBfoY53i95AC271CfVxs6e1mY5/QIB2AuJLZ/4f2+8PL23xyYLBO7TXDD ++CQn338wzYG5oqoKUXSha5tZ4jwHlgwf/aiAdkvaHX+MIgDhYav/6KHVrTUC +zfkEIMTvm4gtWm0qnqnIEYCtn+9uPIYurjiuzxEWgMSaYKvTaINRxqrhxQLA +BGvfVPTcf3Z5r8UFIMVGNeU++vTo2c4iKQFQXb78ySs0x7moOFlGAHxuCn7+ +jE7L+E8lUF4AtEdZpAm0Blff3l4Z6xcTXMt0x/Mzt3ednqoAqK+TtFiBvsr6 +mLVGSwCa1FWOq6G7ThjWsnkCkGlslWGG9mjRS5rQF4DDXsH1juidgd8pnUYC +UFee9zsAfXTaaMXLbQIwotsnFY8eaI36lmeJ/SfIW2Silc493pGyWwAyRAJC +n6KT8v4cDLMTAFJMc94b9LoX9mvcDwhAuofi5z60iSslYZerADg3X+LMoe/J +UW/quQuASTlzs4jHBI8vN9BeyVMAlhhF+8qhGbHBz8X9sD2h7BxA6xxd9YYZ +JAAeR9K6dqGvEc/H/D0hANWr1RcdQSuOvvn1I0IA5ko+mkWgY37xTXWcEYBa +hTOnr6CtcywK6s5hfK7wKu+hf/SVcZ4mCYAykzhdjd7k4b40/xLG63yjaida +7J9v8/VrAsBVu+k9hg7ZOb7uwg0BGOCcKmQcwfO8MUEjOksAJNd6DEuifxSW +DATfFYD/EvYrqaI7dq8z8yoUAH2bfZ6maMrK8F0HSwTgw9lDRQfQuVP1/A6l +AmC3KeT3cbRk3iqPnZUCsDv4quZ5tOD67OPbXgrAPcsXJ26jq/yOKRrUYf2t +ky9L0f4HLybwmgXgGluV9QY9NqecrtkqAEsFTlj3odtV9+1W6RCADX1v0mbR +YlzNMqXPAiCdqfxD+CjeH5M6GuW/4PjuvrpRDj1StTtmbZ8APOYIhAG68/br +0dUDArCj43zTLvTLPfa0VaPYvxdLxY+gO/4sfiU9KQBveu65R6AjLoipSP8T +gHbdHWVX0OV3KmUECVzQ6Z9lF6LF1hbGJJK4MDtRsr8Gvbf7l54QlQvWRwKL +O9Frvpy0vEDnwiZHI75xtLNp4GMRJhdef5Hex3cM57/md98UFhd2zDEeLkfv +qn8dvUSAC5MvptlqaIvFxqNXBbnwTG/K1Qw9a7D3voQIF87GEJ85onPDRGoz +RLkgkC0qHoj2+h6uumopF1j56gHxaKNbhX/vLOPCnTvO7zLRpt/zRRQkueB0 +J21jGbqlPSqqcAUXGE+/JL1Fb8g2slBdyYWp0Y3jP9CN5wnHSldzQXlvovU8 +Ov/Z0++8tVzYTPv3cJEnjo939INqOS5Ik7zEFNCenZ4dpuu40Gc/fkIPPaFz +2vqtEnrtqW82aN/WN2tsN3DBzVvC9Bi6rMvJskeFC7eNq4tOozekG7UdVOfC +/fLAZdfQeXvO5Q9rciH3s9bpIjR3H6/ruA4XlJ4wRmrRP4bdXQk8jPe+r3u7 +F8q3W2EQsxnb011f+xv9b+xwqNAWLhgaVaqxvHB9Ju1iXTPgQmJOVaY0Wr9n +dGy1MRcShFoWaaI/fjFZX2jKBZ+k/igLNG//0Vda5ly4qCH81wX9suhwSfV2 +jK+IsUcIekbN5N92K6xf5WxPErrRXOJK504unM7u3JmDntszcv6QDY5vmFZj +5cL7j193TuzhwqX6TP12NLe14VS4PRcyUyTLBtB6osNhnP1cWDJxW5XsjevP +L8P3qY5cMBrTKFyK7qn4elrWhQvOGR/lldHmhNdnHx3kQjM7NtsAnSspNrDV +jQudxoYy9t4Lv5/bcqvNgwtFTkKZPmiV5tkHTse4QHH/tSoWLWdRJD7uxYXf +R99mZqCzE6c/n/LlwsyJV2seoWe53/4IHcf45NbnNqGXm4W43QrkQhOhU/Eb +etOr16oqIVzYkvjvwTR6iDFsW32CCwbuslqCPri+XvrWviucC67pLs/WoBfP +VuT9iODCG81C401otZq4T0FRXBDbxtdqjbYIt3Fix3DhWp+nvTvapmLDlow4 +Lrxa0vcjHM0UXHti43kujA+7+11e+HuugeCrBC7khMyT7qF/WV6d3XMB4918 +I7Ea/dJ3g/5wMnrCUqrTZ+HzFOJfIi5zQWtOqGgMzW50/rgklQse/3r1+Xzx +PqwnplCQxgWrf5Xty9FVS0ze62fgeLLz3dTQDlPEzg83uWCxOWfeDG0Xa6Hl +mckFv6ziZCd0RwCM0bK5sMGsRSEIPeL5hZyeywVFvb8vE9CGK/WPqeZjfl/a +4HAH3aPvqdJ0jwuBdsFT5ejv0cetXIq48OV664U2dHq2a+NsMRcue2kr/0I3 +2JleT3nEhUW9RU1EvwmesePGRqVSLhTPanosQQcEKFjVleF4vH/Nr4TW2rdF +xamSC9zQ43lb0ZUfzhybfcaFxrl15nbovHt06uWXXGhznxjxRgsWNE9seMUF +Qlv9xRh0UuqvTc11XPjP4L5mBnpK3+Pr4UYu1LTe6X6IXhvo8IXawoVDsQVR +TehvrNfaN99gfIKqFb+hz75vHv6fo/sOx/J7AwBuJanw7j0yIrQlq9yiEmVE +CQ0JURpUQpEGmWUnFIpEFIqQpGxJyMqMfFFIIUnF7/b783O9z3POc865z7qu +5z3P5iaM56cjrTPoNxmOsx0tUhChJ3uF4IbrB4dHRz0+Ynk3Oa9UQA9+Tlai +deL1T8o+bkY7CB4xyO2WgtjUldf3oA2SJkrNeqVg8cbUDc5o0WS7mPHPUsA7 +sfa/K2iR8dLKsAEpWGlZG3Ub3XmWt3vtFynYtdh9exY6neK7sWFYCt6Eq8xU +oLNKhdxdvkmB65zg4y60/qkHJOIPKfjP5pPtJPrZIm/xpxNSMFLxnr74/Pz7 +ybf2m09JwS+of78Mvb1PQHxqGvtPd+91NfRTySpizB8pMMkS0TFG06X+uGnM +SkF3mdofe7Tqp1TVLgEC2Ch7511Ei1zuNPURJsDeqSbXCHTG1IMqGVEC3F+3 +aU062mEHJa5SjADN3/O+laC3XN1QfXwxAUZgy+NW9KpHFDMpCQK4rOs5+Q0d +/r5ULVeKACLNIWsWuGP+IkaeViQC+KsZTbDQehZvaAJUArx35j9fh27vXkV4 +QCeAxmWRizvQS/KSHHayCDDpO6Njg171U4E+wSFAaKDQovNo5fxGuVg+AT7d +ZTeEoBcsy7ypI4O/N+rHJqPFTSv2fJEjwOMN1+1ezF/vpOwepkCAZ62tqxvR +SqGjU+pKBLhWpfF3CB3+g9bYt5IADbSs6jn0hYKCRcFrCJDavDGG6jGpXU/t +vbNhPQHiCY1HV6LFtOJv9GwgQFmHt5oeeu3e3x0BagSo0t0sbo3WSBL1U9Ek +gLqlVJcLunNPY3DPJgLEKP/M8kdfeHTseyAQgPxuxDcBzezpylLVJcCYwS/r +PHToWo26vq0EiMglr3+HXvclRP+mPgEsOVsX96PXbBvkaRli+cP8+2fQ5Ahz +8y+7CDAu3VNM8MT+z+r/L9qEAHmf9GMV0IcUkpv0zAgw0F7upo2mi9/nT+zB +51u213wvWow8Vp20jwCDpb/XnUBfjI2uN7HG523MIl5DO0+kqggcJMDpAxcm +YtEZbmunntgQQOKsZXM2eoefDsXmCAFClhvmV6HfeA6ESTkQQMrXJL4HfTl3 +lfNrR0z/rtPlKTQhSSHZ9TgBHlyLPrr0As5P8X3qsicxvW2tRrLoH6TjK1tO +E6BxXGmjJnqNS723/xkCbIuL5O9Gn1i2bJWmGwH+GREWO6GFYo5rfnMnwGbu +valL6DD94gdJFwjwmb79czR6Q7L86T3e+DzGAg2ZaAf5vFuLLhPAoP7dqzL0 +o13unOKrBDDOfPKkAy0adlHwjB8Bjv9MSRxHc8816CoEEIBWkBW+6CLu58/7 +9ncFEYArVu/LR0/wUz9H3CCA/biw50b03z96OgZhBDD333nKCF1z88Q/gUgC +FHxMs7dHbz66mp4fTYDkKdaBi+gx4u2wU7cJMPXt3p4INFuhwEk+Ht242Tgd +vUrtbmLPXQJk5ozteI0W7dqrGpNEgF93cre2oa1zfiiaJhNANyV0yxjaw9jL +WzyVAEfafEDUC/urhdjasjR8nu1+2hz09PGkLd4ZBLgqlKSt4jX/PpXFU7Un +BMhnNIAhOtxA7epENgFW3KHq2qK/2ZvlPH5GALE7Lts80LdWPYdjzwmguqLP +IBTtbe66ankh1sduR5NUr/nz/SMu9BVh+8qLWBSjZdxXKCS8IkBTQe7BZvSH +gS0q+98QYB/D6+gIevbatwRGOQGK9li5CHtPap8naB5vrSTAuUu7LjLRyw02 +RkfVECD4wV7/tWi/Hz/45u8IoNlxLkofrVftsZhUT4DslY/uH0Lnx3TtaWwk +wI/MqRw39HYlZYHwZgIcdN5XGoL22HlWfHcbAege9U3J6IGqsrPEDgJY9x8c +fIHWP6Os/aGLAKuLhf80ogO5hU6RnzA+aa8kv6Knky5O7vlMgPbZUDnBSzi+ +tFzpoQ0QQNnPQ4uO9onoUGwfwvIWuZuvvjT//7molvhhAmx6euPENvRbtZK+ +Q98IUO/x4voBdFafk7HMDwKU8+funUW3JCSxBycIsDjf8lUQutDazeDRFMav +ydvOe+jVwr/aTv0mAOm32Z8C9FbfdVUqfwlwsnSC2YCmN26kz8xieV6law6h ++7so1a8EicD7535gDt18p6PdV4QIEiEHfag+GB+LY3btXEiE3Zesk1eib8ha +LSOJE+FA/6lqPfTfwTV725cQ4Upt3Jg1umi30kiSJBEW6fdQz6CbnfZ9diKi +j2poB6JlN1ZqrqMQYZlGpmMSOvC1388ZGhHCGzZG5KM7SA+kyphEuLupvfj9 +fHqbVUJCOERIuBE5PID2MYPjFnx8vmYHxiz6m+3H9GUyRJBbZqpPuTypfd9f +YueIHBGUr5q5K6OXdn8zeq5AhKHFJ9N00T2eAU+vKBHB9G1ih9Xl+e+JjHoY +rSLCQMOwhCv6JUXxHnMtEbTWGOsGoNftNVIeXE+Ek1M17onoyONO9GeqRBDf +cOjJc7SJd6DDZXUiWP1dPFiHln5VQjXWIkL9/gbeADrRmrWCo00E8tEnlv/m +87uadmdYhwiblB5Ekq/Mn+foebZQjwhjBbn1Suhm4zuZAduJECDTvVQX/dhu +2Q5LAyIccufttEIXjlC2r9hFBIVqjyAX9C3pwNTfxkTQXz761h9tviPkWM1u +IvxM8FiaOH9/6qrQuD1EmNzGM3mO7r3iRT+xjwg3lLoj6tAvVwQIa1sTYevB +vLb/0A/+szElHCRC21gq9x9achFZqN+GCHrfc+zJV3F9PpBNeX6ECDmnWzOV +0H/e7wgOdCDChA/l1xZ0ovSw/UEnIhDWndCxQvtvTLm3zpkIOyO7g13Qgc7X +tyw8RQTzfKeP/mhFXtLWThciBD6WkE9Er8oTzMg+i/V9/d255+g1t/LPXT9P +hDqzB+V1aFul5nsHPInwTeY2dQBt1O2wXsWLCBliDxz/oc9xvOQX+2B9EN+9 +IF/D+cha/lLfFSJEm0pIKaOlxM9pFPoSQaTVyV4X/SvhnGW4P8b/054XVuhv +t9Q6jwURIXTqFMkV/cHl3RvdG9g+2UznALTLQ92lnDAikKZ6yhPRtUXpL6Yi +iED58IqfjxZRIdbVRxNhoVXhxffoZ7cC9B7dJgIn7v3HAbShK5/nF08Ev9S5 +jbNoZeOBA4cTiGB50+AWxXdSO/nVV4FN94jw6EjWL2U0a88mMUYKEapV1lrq +obPujZ75mUqERNK7F9ZoT73Feo3pWF9S13hn0I+aU9yfZBLhutbea4Ho8O+1 +hJAsInxP1f2ahPZSD5U8/pQIZUd2mhagRXbPuezIw/7rc7qg3nf+vNQV6goF +RBiVyJIeQmtF8OwXFhHhPW9xyBzaZ/H3nwPFmH/p5WmqH+Yv+Gi44jXW32Ky +/Sp0tqzNttQyIhxf+KZxK3pahifqX0mE3KognQNouxe/FJ1qsL8dcsk+i+5/ +8PuZwTsidHS5SgejIxNVkpXriWBiFhp5H73vaP60xAcifKyvXvgCHfMmMudH +MxEsjvIuNqIXnvnY0NRGhCL5sB9f0Do60XvzO7B/S/McBa/j+mSmHeK7cbxy +rO6howOdnof69BJhh3jovjVo3mHNbfb9RJBknGncjh7JcztsMEgE+xTXXYfQ +f7U9+lZ/JYJxyY1qN/SyD7urKaNE2OVZue0GOseURP07RoQ9/ezyFHRzbE1V +3zgRHCRv6r1EXwz0763+SQT5JdzyJnT6ogM22dNEUBuu3jaCjhDct/X2HyJ8 +fRleLew/qW2zNyD08iwRnka672KhY/8KbDkmSAInnwuN69BbPtdZmomQ4GB4 +3D4DNHFGqE1rIQn629t6DvvP/38+s2i5OAlWH1/v6DF//+2uhYSlJJgye/Qj +FF3GSC74I0kCuQdw8SE675lU4wCRBL2uEwtL0HdOrDdtpJAgsKY0shV9TZ+9 +sZhOggfF2dJjaNldHVfTWSQ4f+hltmjApLbVdZ+Nt7gkiCwe0OGiTwmxd19b +RoK9Iys/bEDTG15+cJElAX8m3H7XvIXcig7Jk+DWNOW3HVo803yJkSIJnk7n +hVxE/x12KtVaSYILi91kItFlHeW9SmtI8FnHrPARWuy2+1HWehJMZhjtLkUr +bQ03X6xKgrMHHIfb0csXyKT9USNBsF2i7zjaWFDTfkSTBJIfpvjigZPafUe+ ++ndtJsHawuMvl6EfWemQ3+uQoEBxzkod7UoxWfhajwRDG7J/m6BNK5bbPt1O +Ao+Ry7cd0SLJzbIPDEiQeshFwwddOOBsfHsXCQwSL3XeQnfW/u0NNiFBwKuM +S0/QEZFRnT5mWF910zKV6Cnv7drn9pJArPtIdTeaXSctfsySBLvnRk9NoXe8 +3bjp0H4SrNG9RZMIwvGsIrrN/BAJZgsPlcihPy006TSwJUHT+e3HNqGPdZ/R +17En4f7WiLIHjWMFR82RBCSRc6+d0dzHWlarj5OAO1V48hra3UxIQP4kCRRc ++Jx49LbvZyR4LiSo80upfYre/SnJl3YW23O7gddbtENIvL3UeazvMonVn9F9 +e88+XuSJ90tN9M6gvz1UtxH2IkGL+q8oYjCOXxN/Pf9dIkGrGctQEa0fXzf7 +6woJBk4eEtyCNiG/Gh73JYFQfGm+JVqktVvnmz8JvEa2u7igN1hsFvwaRIJy +lxHFALS7xLcVAzdI4KmV/V8i+ojn7Iu+MKzvg9FJ+eg3NJ/nPZEkGByMO1iP +rnK9yu66RYLKr6/ZQ+j0pYzh9lgS2LuLdc6htx03lfl4hwTOSafiaSE4H/A3 +lbcmkkDl/K8Dq9E7C0fqW+6TYM/iRP529Lqq09taHpAg+qRT/0G0e+9HuZY0 +EhzJMUtzQ9PvqJ1qySDB2ODBUzfQZ2PuSLc+wfT5QaoP0NMnGNCWQ4KtJ9pm +X6Kpr4oqP+aSwKxnW1UzemJDTEFHPgn0/FvCR9EVbkWU7hck2OVx/eCCG9g/ +5DU6PxWTILzUUomDlppZtrT/NfZv912/VdAP7157OFiG/fuhbdVOdF2V6+Ph +Srze4XaMHRrW/ON+ryHB9JsfThfRWn4qM5PvsL/XHdeKRN8NXgEz9STIjlso +lYH2WTT6fe4DCX5rlPeXovkvbi4RbcX6KU4u7EBX20pHLGkngaHqg7AJNLc6 +9xqpiwQvnlU7Lb6J6ZVY9TI/keCZgaSuDLqQKp0m/ZkEsuLnOZroimh2p+IA +CV4KC/7ejS5mWXuu/4LxuSOz+Ria6PXtqtYItv/whadXbs6fNzw4vXWMBF// +OofHomO1LD4aj+Pzhfi45qB9DxjJWf0kgWpWnlkNuuBjV6fdNI4H5yRV++av +j6IKnP5DgrhvgYwZtMCFRTcvzJLAYeWKWUIojlcXKwOuC5JhYMvXzyvQI4GH +v0eIkGG1Tl2NDro7bOhN4kIySKo351ii+0JOCD4WJwNVay7OBW3lIZjxYikZ +xq13+gWgZXfnvqmWIsPntCKXJHQRJXZrG4kMCRtNDhagB8pKVAapZNhAXbiz +Ab3TSSN0ikGGwxa9Gl/Qf8Xp+0Q5ZLi5pEdRMAzjqeBYMJVPBtXtAmwG+uEV +3ZXyMmQQY2yVWIs+7/ZUQ205GdQiMgV3hM3/n+3tsx0ryOBUqT5lg/6ucyfO +WpkMGyu/DLuj+YbqYydWk2Hy/su+UHTOl6wnPuvIsPlUbvtDNFmX0hWxAfPX +aPhQgn5w8fz5VDUyZNEIdW3oiy+GvF9okmGUdq76e9j89/48J95vJkP3zn/l +YuG4nhTY1NyvQwaZqrRSPlr06BbZGT0y6Md5vlFDd0fGfZLUJ8Pb1lNvTNBh +byzFlxuSwfxmQKkj+vfKG0laRmQ4+qGy3AetQDV4YGZKhpZcxeqYeefdpR83 +J+P+IuddFjrF4s70FQsyOMQd/FCFztaz2BZnRQbxN6vbP6H3lXYJPjuA9f1O +rm8anSuzRemdDRli6mBYKgLXk8+j3gwcIUNvq89PBXTthy+VAkfJkDHzn4AO +eme9sSbrGBly9E8vtUTni35kq54gw+UPPJYLOqsl2tn0NBlqMyZXBKBL7sUq +njhDBoOBb+pJ6Km3P/cGuGH9hUkYFqAbCwt+pHiQ4VSJ2YEGtGvHr5k3FzG9 +a8Wnv6ArY1+7frpEhiNjRr6CkZPaZscULGevkOEbcUEcA91QvOkx248MeQK9 +2WvRDlIkV80ALE9NX/WOyPn/RxQkWwVj/F4R/3wY7XZLd5vnTTJsV9/3zwMt +Vv16b2w4GeIEa+nh6CsTW1sKo8jwaMR+Qzq6+V5vWUcMGYKXLDd7gz558IH0 +vzhsb9clru3owLyUMW4CGU6vZYSPo29o/lDSuUcGjtXOp+JRk9q3vWJbj6SQ +wXk2pVka/Zb6dNzvIRnWr1n+WwPtmLzTK/0RtrfgO44ZWrrM/XzdYzI8vBqr +exy9gb6jdzybDF+qbhy7im7Xfl9Iy8X2/pwWHoeu/48tsimfDPafh188Re9+ +rvvS9gUZXDvNB97OX2+9Z8C/mAzXevoJ/WiHoCOXnrwmQ9Bs3Oa/6PB/l/xb +ysiQbujpTI7G9YVtkeBsJdZH26U4ZXSIm+Kw3FscD/Iy3uqhZ/906BnVkeH1 +tMC//ejinD6J8w1kmHlycfU5tLetyY7EJjLYfeMdCUGfrledrG4lA63i660U +9I6yVMnJdjJE6Xe9e4leT8iN43ZjfV7/JdKClgk6HbOjlwzLotU3fUNzF4ws +ONdPBp7vfTfRW5Paqubq/YmD+LwOG7K5aKb1sfXvvpLh/s6xEVX0ut+hE79H +yXByR8MKY3Tqwley8j+wvCc7jh5Fj5wSrTSfJEPDu6Wpl9APpD3ar/wig7+H +4+AttMqCFYeyZ8hQdXVYIQsdLKKw59M/Msz+iz5ehZal+xdJClLg+syxJ5/Q +f1Wso7RFKLAl6OjkNNrR7GnPqYUUUH0TrEGImdSOcrkXlyhOAf3s9ssr0PHh +GtUNSymQdsy0RgcdkxviKEygwD6BHyQrNKs302MDmQKcawUHXdFfeZl/j9Io +oCH2KD0QreJ950cskwJ+d8t/3UOHLwnbV8ehgKLlom0v0HJ9t9cKLaMA0cAt +6gNaj1JzUVWWAvFXlwwMo7e8XK9xXJ4C52m1G0Vu4/j0e8gpUZECn2m5gWx0 +28ifxS0rKdAVXdmtgtZ/6c1fshbvfyCssgsdG3I1dYsKBVQsnQLt0dKB7CSP +jRQ4UTLd64WmD1gvzdagwOtv2RrR6E91ZiNDmyiwdioy8jFayJO6eZkOBbKG +ksYq0HXL8oSs9CgQ2NZm2IP+N6enEbGdArWt6mm/0PV7mvtrDSgQNF22UCp2 +Unv0qIfQQiMKUHd5HlVAy3joRuiYUuDaoGUVoBsbtt66aE6Bjo9HFC3RdSXh +EvkWWL+qMSEu6IOxWr8nrCiwRvLXjwD0lcw9FmsOUqDczcfiHlpi53eFE4cp +8M5bpbgQHdPMPZluR4EUddLyD2jH9InlQ0cpcL+AfXMYvUP+stny4xQQIJj+ +Fo7D+3M+TtidpECmaZYdG/3wqaRYsgsFNG9oNKigxW5tCP18FuuzbWzzLvTT +mgPBMu4UMNatz7RHPyqM/XvkAgV2furgeKPh8+ynZG8KvHxNvBmNri2OVx+4 +TAGbmbOCT9BLSv1EFXwpQIgXOleJ1jrzfvsxfwowC1586UF/Nwv4lxFEgYkj +iYem0Q8GK+S/36BA1eOsFql4XK++iK1YH06B0kcjRivQOda09vNRFPA/YV6l +g2bsNbYtiqHA0IKhLVZoQb09hwTjKRBzPbXYFW2bp9mwLYEC1SIRmkFoh52U +/OB72F430wvuo8dSJ0kfUiiQq/FNrQg9bTfSz0ijwC76wYImdIKipNLhDAok +a8xojKIlkk4NPHxCgY3P3rxccAfj0ZVP+5GD/enWcx0uWnWvykv1PAqQptoq +VO/Mn3/8su1KAQU8Py/fZYyeIdc71RZh/bgkNR1F+x3yOk0toYBajv4BH7RV +dNuITSkFEvPZgzHomAuT3Y8qKHA7muOajVZu/bztVzUFhA8Zzlaja08UyOq+ +o4Co7IOgvvn7xf3db9ZTQHp6JfMP+oan7ZbOD9ifR/vSSHcx/qKsr6xopQCN +Vq6hjE5V9lM7304B7vWmWj30XupPu/IuCtwzJtgcQBurvlhI7sX6unph8hxa +/tgw/0g/BXQ2kAJvoLdFx2TlDFJA7nwbPxV9MKk5T2iYAh+s3+a/Qse65K43 ++0aBhJ/Dpm3o8F8G8sk/KDCyV2PkO7pTIS3s5yQFPMLzri9KmP++Y5/r9mls +70IbWWn08IHFb2//wf7cp/ZGA+29d0PsyCwFzFjah83Qa/rPfNIWokKR+xlB +Z/Qy0fY7EQuoILy05d41NK3Us3FQjArHvzpsvYNuXO7krbWEClUyy7/kogc0 +8pPCJKng/pZ0ow7dzLigNUikwuzEapVBdPyHMqNNVCr4ZHl2zKG3XnzYFsGg +Qh5x8io9EcdPVfX2r2wqNK6MX7kWvUE60GwLnwrryWfadqAVDjzWi5WhwpM2 +92u26MUSBZnjy6mwPyRz7QX0s8MvbxgqorcSPkWgY6/WDSavpMJ3YvLNDLR4 +2lz+7BoqTIs5QDm6SdhOyFKFCmQNi/EutM87ibKnG6nwMv98yhR6L5BmJTSp +0Har0lIyCfvr7WtZxzZT4fmXbZIKaAeeW0eFDhU0Xv8sB/QF+h9vma1UEFzb +5GWJZtQvj/PRp0KNYZ+qK3pV2JI13YZU0JPl/whEX3z8apOWMRWmakMy7qPF +vczKYndj+fcpORWh+Xs6Sn/voYJJ+/TyZnRZ2DEtS0sq2NhN/TeK3hJNXlWw +nwpnFsk+EL03qS1cNhLDsKHCq87LR3lozUuiXp5HqOD4XVJRDW2z4Vx7hwMV +7lrUjZqgH5vuzN50jAqdsi9znNBJ2xIEE09gex3rdL+Cdr1x+a2QCxXytZQh +Dh0dLyrpcJYKCpkZYs/QRSM6tdXnqXCi7kBjLTpZdLvwqgtUGH6qfec/9ALH +Fc/Cvamw5fRup1m0aMzf7l+XqUCgRqvS7k9qD/Gbrh7wpYJpvviCNWjZiNJ7 +pf5UuOOU1aSPNrzarakYTAXqpusph9Gka2rGYTepYLf15nlPtOf6/zqnw6lg +FVVlEIG+t2K63yaaCiRYz8uY9wLfo9W3sXwW7yfL0DOuCXbr7lBB5Hv82655 +U6w74xLxflb8/Sn037i3dQuSqRA5UntRMhl/fyqidTqVCh/cVlsooP9KMGU7 +0qmQXVu6Tgfdbcu7vu0xFbQFAyWt0OInFOxzsqmgKH9l1BX9fUS/mJuL7WGa +URuEvpkcGR6UT4XoCLHMZPRdS17f9Asq/JiLvvES7d/wN8PhFRWc0yxcWtBB +7TDR9IYKUvcN9oyhL+nNPdOtoELt3CkNsZRJbd1+w/GcaircaKzkL0OHRms8 +kn5HhX2rdotpoKfW9fSE11PBernkj93o4IhdocJNVOC+m20/njL//aXbRWdb +qVCyYVnFNfTI1la7gXYqeJ5xy7mD9nJgBuzrpoL07dmEPHTdmNuKt71UeFRQ +cOM92q1dYNvm/6iwZCjVewgdxartzh7C/ryx+pTgg0ntlfdGJuRGqKD1gmPL +RO91c/ONHaPCNd+UPevR5GivCMkJ7K/pNgY70eaCVK7vFBX6NY3BHh1TZib3 +5zcVmna5bPRG144YpLn8o0L9eMXqW2ijAMn0IQEaHNlssiILbZeWK28jQgNZ +3aWy1ei6o6bSbQtp4Eie5fWh3bunbpsspoFmuTTnD7pmVeGNagka5DheYJFT +J7V/nH8ioEukAZkoxlqJ9uv6OlZEwfSaqljb0LahPvs3Mmig8uYl5xA64+W1 +bTlsGkSPDfDd0ZduLn68kk+D9af05MLQZzeviEiTocGsWYtiOlpZbPynnDwN +fLLj15aifZZ7ttxTpMGb2FvqnejCjmYV/ioa9EpXbvmJVnFiEO6upcHqA0q7 +JB5OavdQLI+zN9AgcH/ZPnn04vVpunFqNDikEm4P6F4JbixTiwbff0WesUQr +/357MlabBoaFtVdc0XcNK18zdWkQeUM9IghNtpONiNtGA1X/juRk9HT8rz62 +AQ0OFuY8f4mOstyTfXcXDUhqr962oI1Eds/yTWnwnizYO4ZuEBKquW9Og+oj +7r/E0nB+rvYgy++jgZianKQ0+k35u650axocSFmooIk2Ok5cvvoQDXYU87aY +o1U0948+taXBo+gTB06gPZ+8Wq/uQIN7Oj88/NBq+qa/i51ocKox/VYCen+A +3OatJ2hgsT82Lx/d/9dEqPY0De6Ov2ppQFuvG9pqdpYGGQ9Z01/RvwvmxDrO +06AvLJMpkj6pba+QYXjkAg28Xp/bzEmf318LSYx402DE4OwRVTSZSTU5d4UG +p3XSAozReW1/CXO+NFDKJ2c7ogt/15gFBGD9vsn7eBndz4mikENo8PHsTeE4 +tO3kKYuEUIyX3rurnqHZK08zlCJp4Mf6z+odOvRiuvXzW1ifG239B9Dv4tZz +9eJoELKd+nwOvRP4hxvu0oBmIzhIfzSpbaLoK3voHg2WRMrQ16E/sM87jqbQ +4OfURQND9Il+8ZUX02iwLH6ptx26XX+P6+JMGpy81ZzjhfYmH1eLy6JB9p+m +oWh0pczhS0rPaPCiczE/C62ot3N70XMarDTy3FeNDjbRCd31ggaNtvzwPvSu +VXuseopp0LxqtvYP+mB+fIrLGxrYlJMWUTJwfm5TdhWpwPKrH962Cr3GnVly +q5oGIokD17aj83w9byq9owF3cXKZDZo5dfjTq3oa9N+4vcAzY/48mv9yzJsw +njZXbo9A02uYC7+2Yv2tWhmUgY5dQe261IHxcPrt+3K0UPuICrUH25Nxj9KD +nul8KpHZR4PDm7L3T6PrtXyO6Q3Q4Mq36WRCJu5HFx/V7/xCA3Edj2+K6C37 +vB6eHcX411+nrod2UWsLXPqDBkF0Wd8DaJ/y4LEHkzRIKzNqdEMLMLNaYBrH +F5scfii6YZ8FdPyhgdGc0ek09Lq0W8puczTg5Mq+foPOXOcXRxCmg0vUelIn +miirFpIpSoe6pxccfqKLnrwRNBCng4jsv0KJxzi/LtT8PbCUDrd+P5dSQBMd +8s5cI9CBrZ9xVAc9KWbgIk2hwyGZ9ldWaLt1i8dL6HQYuKvDOPt4/rweyalD +bDrcqOs7E4LernLca45Hh2/lL98/QG+JV/FPkKFDTEyjcgnap8CHCvJ0ULJa +FvQRffCTnUKvIh2quOlfx9EDdlMvr6yiQ/pvZ8MlTya1fz0yaJVdR4eCWadM +OfQH4vmzlRvo0K+TJKWNVv0bGnVMnQ7uLcRz+9AhzZkaEpvo4Flf3O7yZP77 +X5+P5ADmr5uiE4TOIW0jWOjRIUO3Ii35yfz3rUe2/N1OB5v+ZaRidP2h4ekk +QzocUc/3akXb3d23Xt8Yy7c34Mt3dEXMjvFvu+nw3Dhqr3jWpPbh5g8bovfS +IVSts0wGndm9ZHaTFR3E5A6qbEJPaYsbDhygQ5MCK2Uvuiy4l33zMB1eWJBo +p9HnDj48o2ZPh6zybYEBaI7BWeM+RzpE+eXO3kNbfLPKCnamw2jmobNF6Kbv +LtEbT9NhxHjrcDPa+0ed4OczdNDxcTgyhg5IuD5+4zwd4naXdoplT2qXpGQ7 +al6gw44Oawtp9OECW7shbzr4r1zzQROtHJX1X9QVOggfBJM9aL9vWSO6fnSQ +8AmuO4nm+3p4jAfQoTmVbOSPPsvhByeF0GHhl7a6JHTxhUJZ0zA6rm8+mrxA +b3c+qCsYRYfahdSmJvS+V8uGsmMw/6U3931D2+gxSUfi8fcLet0Lcya1j308 +UEZOxOc5qmq/DN22R+hvxX06BPbbjWqg3W5zCj1S6XBWtN7NHN0YWD6r/IgO +Eb3nBU+i/SWlaj49pkN2wP6Q6znz74OR2FE5dGgjejOT0DbB/ZM78uggHdb5 +sBC93D7WfK6ADuvo7mpN6Ni7Bpq5L+lwqsikehRNX7s47fhrOhSGOVgvfIr7 +Sdb4HelyOsw+KvjGR6s6UZjtVVgensFVDfRj6SBOeC0dPs/RGOZoWTOnhwb1 +dEg6LJN1At0vXlEo3ESH+/uc9a+j/Q8+N3/ZivU5Pd6biK44buZ2voMOB/c+ +v1iI3m+axVvXg8/jW0BvQruu6TcZ7aPDotjfuaNosvIC8bQBOhg8PG++8BnO +/6dXGNp/pQOlbP0kH2247ihZ+humL7gqSgOtcLfJvucHHRLPOWw0R3NHrmvf ++UmHneu72k+gZaxvJVn/poORcfil62ir5Yxg5j86pHT5yiWhJ8Jl5j4KMODA ++PPaQnT3l9qZ2yIMqElSONeEtvVQumQlxoCJuVbuN/RU6J5g1hIGbFlWUb0w +F8fja4eluyQZEMOYOLcMTc2010kgMcDm30EZzdz582jcvxymMeDup0WN5mhT +ehZTjsWA3NaJyyfRRdIyzUNcBsRNsdf7587H+yA9U5oB/aa+/yWhCWPkAZfl +DLD7p3z7BfpKeInWRkUG+C8lGzXnzp93LMj5t5IBsdEaImPoLRmjfqVrGdCY +kfhCLG9Sezcj3jNwAwOC7LadlUZ/5chMm6oz4EmD0iotNF/v9hxjEwP6xEy/ +7EF30ylhfcAAZW5eyil058rMjEd6DJBZbn0kAF0s5b77nD4D2lVA+j7a6FDw +Fe2dDDh/0L6vCN1SILBJ3ATL97zmfgv64cvhy81mDEgxP+3wHS1OtDNNsmDA +vR17FcWf4378sM+jE9YMkHx0cUwGHWphEapxiAEaIZ9zN6G56XNzC48wwEkk +yMsCrUgInWl2YMAquTPbXNDiejyf5GMMeC0cLxWEVhYuCz1zkgGuzxZ0JqOf +UaOUdV0Z8Mow62ExOkc3zYzkxgD57ji3NnTsXppovwe296WqrePoUbkp3Vwv +BphvVaUuycfx+tL+pdcvM0BV979BOfRi7cO2lr5Y3pDmQm20wlaWrnIAA6bU +Ft60RO90TXoyF8yA/yw97c6gxR6JP/wQyoBWkdWaIeg1PSeUH0YyQNhIjpSK +FhLs0/KKwfgzODBSgs787fVxdzwDFkq0VrSjKRX7hFYkMkA3M/zeJNrNMeD5 +3H0GiG4KvSRRMKmt3r78d0sqA+43vD+ggDaX1q98/IgBRy6ZbtqCdtklIn39 +CQOo1hTufrSAk+sim6cM4HiwBNzQEgFpXurPGcD6duTzTfRMSYk36QUDwuq+ +VaahPRXfL/lWjOVZVZRZim4bGpavfoPtK1Mb2YW2W7aqPrmCAVmvuV6/0Aq/ +MxZcrmGAJeeZA6FwUlsr9lLVgTqMH8NgUyX0kNZLumYjAxIOpW7aiiYxvabo +LQyoPLVA6RC6/HDL4V8fGfDv5gOGBzrd7JNVSxcDgpsCF0WgpTbm9Ob2Yvvu +zpnJQNPMjkxF/ceAFVzOaAU6dkL8ttsXBpzZ+fbTJ/QNp5Jqi1EGNP0oap5B +B4rF+av/wPLKjL8lv5jUXqGQ08z6yYD8yWOlq9AHFTjZs9PYvhfki/TR4scn +mH1/GSBQK59n+2L+fK2dpAoBJgj/OZ59EW2wRzs2XYQJypzJzGh0fdPnJzfF +mKC4veRRFjrayNT83BIm3A6pT69B56snXLeWYkLYArlH/WgJif92bCEzwbL0 +Zcbsi/n3PTTiVtCZ0NYR+4RehPuJwLwLBDYTOo8UPV2HfgYuw795TCCfli7Y +ia4XvfK1T4YJayjvXjmgfU4JeNTKM0HNsajSB+0oIXIrT4kJiV7f62PRfVeT +9ZJWM2H7MaeOZ+h3Z39fDl6P6enKD9ahZy8yjd03MuELW3FyCC1kyMuw02TC +38WuQsIv58/74N021WbCD7k5Age9V2A9VVuXCfxLDdIb0emGLjIrtzNBV/mL +iinaef14CcuQCb5btukfR78+9+6buDETPFqG9vuiz7QzM2d2M4H7r941AX1X +afzP171M2PV2NqAAPaN2vKPDignDe1zvfUDfqb9j+O4gEwaylYpG0UI1STtf +2TKhaUKxdWEx5idyszvbgQmDa05PLEO3HfYSTDnGhH6vP1Ja6Njya7kxJ5kw +NFa7ei96lvRyJtiVCRFx/can0cGwueGyGxNaora4BKKvAF/9vCcTeicGIpLR +/uIX1p3wZsK1mobnxWjbWw4vj1xhQs0q4a429MnBmY9Wfkyw33BBeAI9LmTi +vzuQCTcm1JWWvprUNvvpVWVwgwly3trm8miRyvhY3XAmmH0N8tZBPwosm9WK +ZkL8Tl66Nbrz8NKfqrFMOFv4u+UcWsrmptfau0wY0WctCEXLJtvGKN9jgt+S +ayrp6GsHE7YqPGDCE6aKfRn6Ts4BX9l0jD9/pVvd6BW1uRbLHjPh3bFjNdPo +T/2virg5TMhu+T5LLMH11/rIZ+w8JuzsLVZZOe8fBtqsQiY8Smg6vh3dZ/N3 +P7OYCU+Xr0s+jO6oKlnKfMOEx0GtXRfQYWezTJkVTIj5XEaPRivnfVZg1TDh +oe6MeRY6+aNrBLuOCXMl58Nr0GWabmHcRiYYnd7U0I/u1xKVWdbChH1HDQlz +6LpNmvqy7Ux4U5i0m/Ea12cPVwoqdDOB4wNR69H5n37uUu7DeKmV/7gLHb0v +Y9XaASZYP7PgOqJL/J3uq35lQtquersraNmhrRla35hgkxmWEY/WmLTcoTuO +/XEo7mceuntNsafBFBMuk8e0G9BchSDYPcOEA9uCgobn87P9GGs1y4RLEafb +FryZ1P7s8jrgiBAL3kolLOejA79ZLz0hyoKGD1Q3DXTxyddy58VZkPijtcIc +bRQp/uGyBAscL/XRT6HXiJpQQogsuB2u6hyAfnAsfSSGygJnaCq5j545ts4y +hckCybsvqMVo5yIB6xwuCx6WjJxoQwewVo2/kmZB1cujFePoAa0P3LrlLChK +V+YvLZ3Uhk9ivZ2KLHCJ17wgjzZ4P6g2sooFwQ8jW3XQnz74L/+7jgVb+jdu +2I++ViiSvmQjC4Ts5SLd0HL7zpZyNFnwVfvAZCh6yO+762ptFsQG9ux5hP7J +Cs/X0WWBhlVGfjn6+j+XSPPtLBgvLWV/QhPZaaKOhiwI6ZK7MoPea2EiedGY +BReLGofIZZPaKnd9HoeascDjXI3JavSJ0d39KRYs8OEuLdyBltL8lPXCmgWl +tbGydujCQB1y4yEWPI46E+qNzuq4KfHlCAuGbtz6F4P2V+lPEHDE+nsn6vy0 +bP48PosqujMLRI++7niHvrhJ2H/taRb0n67cOTSfP1Ogx+As1pcA45VQ+aR2 +zO6j7+zcWTCllLeOg76+YLfZpYssGFiYkLoRvdzi4+lYHxZQ0z9wdqOHzlOX +511jwWd58yhn9MFI6TON/lgft/gS19Hn+6j7xoKx/Zaq+yeh2VFLmpeEsSAo +4Y5wEdrzC/urYhQLdI4Y+bSg3RUP39pxmwUpJw1nv6NdY8c7He+woKQl0mtx +xfz5Rl8L/ZNYsD9bcVYO3b7Vdm1aCgtEyEt9AM3nn4GaNCwvWUvYumJ+/6I6 +NJzJAkLl8+vn0FsKyhUkclgwu8VnaSj6kqqG0No8FsjfiYpMR7+wyTxrXsiC +RcO/2OVo51Q1H/diFgRuSX3Qgz7h/VP2zhsWiBXcXzuDDj/wz/ZNBQvs7UZf +kitxPC100hiqYcG05TXD1eh0vvkjifcsMH/i2L4DrcNoyd3wgQWRnrHH7NDv +FBdZHWjF+mxg/PVGr/xPNMa3gwWXqwZu3EaL9A2detzDgnNugjLP0OMvq3pb +P7Og87tTfh26n1wyKjiE8buLb/wFfS94KEJ5hAU7k2QHhatwPdlk3WTxHfuH +0HkfLvpBxPonVydZEH+dxlKf96UA2axpFnzXE31uhpa1OK/S9ZcFSqa65ifn +f2+g9ogLsuHR67pxf/TSp5dl1RewATIeht9HG5U2iDguYkPm8ob1xeiiWr7P +raVsKNym39KG3pviH11JYMMSaQnPCbS4jIz+NIUNFXXSPIlq3A/xxaNWMNlg +YutXroC2uWzhZc1lw9txtRO6aJK8nOANaTb0RGlQD87/PhvMf72cDQaHg0rc +0VLTDzsmFdkgdVzJOQKtuyhi3YrVbPivisl4jD6wwl7u4Ho2VIdaVlahVfep +P4vYyAbTtkG3z2jF2yt6qjXx+XPL5WfRDVPGDwSADbabJz7Saya1N1yuWKSm +x4bX/qdD1qNb9FIXndZng2X6pi1GNfP7vSUPHu5kA7HAatoRXTEs2dNrwgaJ +t5VPrqKXS9Q+Y+1hg9DUNce76IejVvJ7LdkgbhIuXYDe97RFNewAG0a/jXV9 +QJMiLD/XHmZD7NCd2G9oetk/5UUObFhuFr9v0Vucjy53kbYdY8MJvWGaLDpe +ihRz9SQbLjUGtm1GP36SX/DalQ3OpAuxlujuh0PuAufZUMkuOnAWLWf6sln7 +Ahu+ihhJ30STZ03qL13C9updM5SGnhUvdiy5yob91XZPytB7WrkJgv5sKGn4 +cr4Hva405IxuMBuECSU6M+iOjXIDvqFs+Bw/uIRSi/Nr6txUVSQbngXZfFyN +1vff+GDJbTYcmVBMNUD3Gg9OmNxhg+HXbW726M1eKz5FJbHhn++zbT7oqSj6 +8Y4UNvC6ztDj0Ms57yOXpbPBbIHvcC66LvnoAcfHbOgnD72qRxNf/S17ksOG +yWV3oobRyUJpb3/lsSFsS7Kz6DvsL+LXXeAFGzqD/+ktQ7d6Z+cFvMLnpaZx +tdCii3TjPpSygfrrwe+9aI7pXh63ig0eur+aXdD2YqK6TrVsYBBjnwajrw06 +i+bWs0HV42Z4Knr4UYqTYDMbZm+0ur5BR9HfOht9ZMMTJ1fzLnTg6C/J+C42 ++PBsNk6jxX9vM/vay4ZdFYksUh2Wh/RBVX2ADaVnVQRXoZOWPC/0/8oGER3W +kD766aulPW3f5r2n/ghamTh+f8UEG4yD+gq80V++ei+68IsNS1VLk2+jP6x8 +L/nuDxvuW/wKfYYefPcvjyfAgZYFl7zfo+Mr5eZcRTgQZGF14is6n2A7VCHG +gRLbgAML3uN6LuOdK2spB5o3LTHmo5Pjrt49TeCA4Fyfjiba6tvd4xUUDsQU +LVXd+37+fRONdjaTA8yQYCUX9DJh169nuBwo9DskHYzOGD8U/1aaA29e+TFT +0Sr3eN9l5DmQbCREfoOuV6/976ISBwJ3NEp0oWs++3i1rObA8sop8Wn0hsZ9 +z9eocMCn65QYqX5Se7vaqYggNQ6cuL9p4So02aiHMKjFgcpVNgt3oL9alq3T +1eHA4ehWMTv0zzj1qYStHPD/fn/xJbT3Yav9/3ZwwNesXDIWbTetY29txIEl +LZqUXDTkLSYU7ubAmhsL2fXomKnGQwwLDpSHK8gOo6WZT009rDnw9ffdlaIN +uB7zrRz4eIgD59uPqS1D709Q4mnaccDbIFhPC/23e2Ym3pEDT22Ed1ugXz8z +8Zxz5kDu+nobV3RurP4dWxcOpH4cPx2C3kaZPVJxjgO2TsevPETTHwXXKXpy +wPC3elQpWqtXsuumNwfoiQfTutF79e/f/HmFA11nPhb/Rjt42Q5YX+fAvaD0 +ZnIj7v+knHrfBGF7/msYXY3+ltLooxjKgaRPxgsN0Zu+FZaFR3JA2VBW2gGd +Erwp808MB+bMjDdfRv9VdNOwv8OB/YQG63j0cT8f5/dJHOi+neb5HN1x0F1X +4wEH3EU+xjaiE094vEpJ50Da0UNFo+h2t4RPhCccaPqo1SP2AecPE9FU76cc +KHZxEZZFs6qqiSPPOWC37Z+CNlrtyQJZqyIOzJz4ZGyFvjvU3F5VwoFdc0z3 +c+h95ns3qpVzYDMhMykUzW6+p/6wmgOqhdG1j9Ajh1p76XUc+CXVNl2Bpn6W +XBPYiPGu7LK8D52+y1H2bwsHZGVs9/xDS6f8LT7ZwYFbix/50ptw/hwdmuvt +4cDwX8Pn69ETijsG9/Rz4MHSrV+N0CKn1c/VDGG8mkdzj6Fj3zenaY9y4PaQ +trkvOsFawzf3Bwf2fNIJSkQrr726UHmKA26740tfoE941K65P8OBqj3G/1rQ +pjbrBFlzHLAUtFYbR29Y2uAeIcyFtuOvzi5txvkkv+zWEjEutD+6mKOAjo9f +cdBvCReS28J/6KKfjbNqBQhciBETWncIvW9Bfu8FChdKdtec8UQb8ZgJvxhc +WFg3nBeF3hJyUOQslwtaYQ5/stDEB0mEH9JckHmqoVOLPlk1V3FSngs1Bo7+ +g+j9O6NkR5W4QDw1Vi/UguNFnLei8xoueKrWM7loc6W2tmEVLnjnizuoo2Vt +i1c7q3Ohb3FCjjla4Nmu1aObuKC5PUTgNDox5V7ryS1cSL/cbByEpr78qPBj +GxdMG88nPkDf9ZCUOWuIz2Nydvw12srJpuKXMReyCG+3dqEVZb4QL5pzwWbV +xdhpdLRmhZigJRdGi65/J7XiftGc/NDvABfsmka3r0aflPr+fYktFwaDHica +oCdJbp8jHLiwcaZ6xh79mFp6iXWcC8dUYe9ltNTbifL7p7jw0YLwNB4tNiCb +p3yWC9xzmwj56PjVZ0zy3LngklJ2+gP6P/s/keDFBbJAasM3tI9F+9W3l7lw +Pa5/vXgbtk+nMsfCjwsRN71uyaGVX0se/hzIhZFxl7+ADutPMD59E6/vfG27 +H223cmboXwQXKo+cqDmPTvDWXBkcw4WchLPrI9DdpT5s1h0u6Ka23nmMNpgZ +yEtP4sLDsOhFNWhHRtBfjQdcOOWW7fYfWpAaOPo2nQtbnBX+E/iI48sfgcAD +T7hgFPjHnI02bFjSOPaUC0uGFCs2osNTa8qv5GP68XlqZh/n9/cW9tSXXLha +fDfjJHogrz4r/TUX3tp/XhaINlA2e6hdwYWtaddiUtBhrL+GzTVcOJl4Reo1 +OvLJUNzx91xg2HYFdKJ/c1VjhJq40LQgSmQa3ZsoqBPbxoWX99J8SO0Yn6cc +o9d1cUHRhDW7Cu1Qfz3mbS8XmHJfLxqgXy/12m4/wIUN6tR/9mjBc/b3575y +wfZ+gvdl9MyhgxmxY1xQv+AneAc9Je1rqzrJhYnWGt989G7+r/LGaS6k1Dsv +bkLHlzW0nPrHhbGLzuFj7f8/LyJqqRAPpCermYs7JrWdUlUFM0R5oL3LN3k5 +WvTDH6bhYh4oJd5dvQVd5JLQ91WSBw+EqUUH0BuXaO8LIvPA++bwDg+01Yrp +C8oMHnyy4n2MRDtYD+2q4/BAzyvbKQvttm5l3WlpHvAl7v15i9bT7/9LkufB +TdkfNwbRR3WV2p8r8UC97a6McOek9tpKnsP+NTwIh0cF3M7570v0JApu4EH7 +WaqpBnqK5x+Yqs6D9OBPX/agr9hslDHazINDCYuuuaBXzIkf/7mFB5fKwngh +6IFSvu2d7Tw4S/IoeogWOhMttm0nD6buv7IqQw+1BxwcM+GBcIj9TA96/CPd +7vYeHgQOHIv7g36+9TBDz4oHC6reb6J1TWpH/PXxHjvIgxf6kb3r0MSxqIi4 +Izww8Mn3M0LfFS7ep+/IgzA/rZXH0PsVaXU/nXng5spv9kX7272auO/Cg4X7 +7byT0AJPmqp3u/Eg10psxUt0reQ5E6ELPGD4LWluQ+eEFl/PucSDdz9PX5lE +X9F+f+rINR7sfb1hrVQ3xqdKuRglgAebBax7ldAXQ4p3V4bwAGo+hW9HPzz1 +cZdnOA/GVCu3HkGfFFWZWXmLB0sPSsx4d8+/Xzpi0ReH11vkPYlFvxRcdvRW +Ig961F855KGvtI/J70rhgQB3Ba8RvX/L+VjhdB78ZU62jaLdvJqLCx/z4Kk+ +P3JRD653OhWiXJ/y4FpxpokcOi/3JkcpH+MnMl5CB61so7Cvv4gHTn0j7/aj +a9QIW+++xvxe3b3hjra579i/r4IHRno5JpHoAcIuVfJbHnRelydnoXePdmrU +v+fBunuzbW/Rfx+pjgc38aAmfWPCINr2vft+g488eFjQ6CD8CePp02sPsW4e +XB94v5qHFrJdY1DZxwOvHatnNNC/uvre+Q3yoPr39/K96K/jv0S2j2B8S1Ii +XNEF6jfGFv7gwa17cYdvoK/sLgup/smDxJpra9PRWwbze4JmsHwJ9UIVaO97 +gf8ZzfHAXv1Sc+98ftwM40VCfHjyJDTtH9pkQ6LfcRE+xDIXXGL0Tmp//pVF +qxPl4/jWuWcDurJ6VGjtIj4orqStMkVvlXTQj1zMh8ciuQtPoJ+tXzH0aykf +tq3J6/NHf7y3rc9aig+fK5mvktGdNe9US4h8OPS5L74Enc+r+0+WwofEWImL +neh0qsVYAI0P5Qvu7p9GX17ubjbG4EOIVthmch+u52uBuIfNhz97h5atQWf4 +lSi94PJB+sR90Z3oojbRxGXL+FAf/WbkKNpOX+aUvwwfbEa2Nl1FO1vK3R6T +44Of78qXCWhiLJtrocCH1Z4eqS/Qq27RZ4sV+fCqb0VE63x+nxXU5Vfy4U3L +Zp8JdC31wPubq/nQezL/pORnnK/elJVMr+VD05vog0roF5dPLbVV4YPz14/G +29F+U865b1X5IDt7ecsRNLu4Nn+DOh9GKDdVL6FXXbxLS9Tkw/Mdgspx6JmO +Hw3im/lQlN0m/Rw9fL1l8BzwwcqBwvqA7pPfb9m7hQ9nLj0nj6FZp8KX79rK +hwHyK8nF/Th+EQOMC7bzYZ+28hJ5tF+1cZOcAR8CqHOLdNHRhlPPwndi+z3d +uOgQepVF8I85Iz5EKrcsuoDOz1wWeMKUD2Nx7YtvoYclKrw7zPgQSt8q+RQ9 +qBvwfsdePqx7QSG/RwtQL1zM38eHkridzGG0xO5HvvLWWJ7GL8sW/ofzfdWK +4egDfJB0H1WUQcvtFM0UtcH2T7bYoI12yjF562bLB8dTCjrWaEYrfdugHR9+ +/ThkdB49EnmSs+8oHyZ0Z/dHoL/UHDatduJDq5fwiSfo5ANCfRrOfEh/fsr7 +LbpTxeZ9xkk+LBPXDRtEv9gYxOC58GFHiFeK8MCkdpppREnYGWx/S94LHtr9 +jH+ZiBsfBK8rNGqi/cI95dzd+WCx6vZXC/Teex6fhz350HLUReQsWiMuavaQ +Fx8yDLN5oWi2V7db0yU+mIzv08pA62yz27njCh/2n3W0qkK7/VK9VHyND51f +ejz60c/iHCRVrmP5j7+KFRjE/Yu68L+0AD7cIix8yUb/+cjW5wfzwWEy75Ma +eiC89Hv0DT5cUH6/YA+66ezCX0vD+HCz0VjZBX0xYtrKN4IPMbNq5iHoTPFU +9r8oPuyuDvRKQ5//Ja11LoYPCoZbH5ajtS9cLBiNxf4a79jUi/bKLY10uMOH +ky2TgrNoeCdW15PAh0Cpr2uYQ5Pas6PW9pb3+PDziP5hVfRDnXdWH5L58GNI +MmI3uuqP8+NdqXwQz4eKk+hiE0ObqjQ+UL+2zwSi6864n9bN4IPrre41qWjF +uyI9xY/5ENVm6FiKHpIQyNDI5gOnQjqpB31X9EJr3lM+lLkf6fiDnq7wPbw+ +jw/CiyRo9C+T2v3Rawyy8vngdFPaXAW9sywobOULPtyTTQo3QZffTt346CWm +3xvQ6IzmH43UWlGC9d3dSQpAr7tmm5j6hg8Mldi9KWjGVukjy8v5YPTndexr +9E+h/msplXy4tNP8UxdahJu/QK6GD/ZgKj+D9v71+L/kWj50jOWfon7F/d14 +m6zcez4cPxNUsA5t4r6tNKWBD22fq0SM0SMTC18vb+LDqKWL6XH0g8aV3Ict +fDD/di3hOjr6WlX7io9Y3gLhsfvokstDU486cLxsGtUumU9/y13XVd18aNyn +G96JHtKZ2ZX9iQ//DogMTM+n/2dJgMpnPpz/t0aTMozxOzkgk/8fH3yMq8PW +olflxHC1hjA+Trz7smt4/vuz6zxKvmJ/OrVJ9xg6K7F8/dZRHL9OMe76Dc9/ +b+ywUc0YHwZ9D8/cQ7NV6dXG43wQeUvZ9wr9RPL3/eZJPnywUH3egZ4mU3qs +f+F8sbWUNo2e/B8Fdx4P1RcFAFyIQqhsSTL7YsyMJSHMKUuWImu2JEmo6IeE +lGxlCaUoklQSQpSkQkpEipKE7JLSJhnRwu/05/fz3tx3z7nn3nfvmBqOCB+e +xfW3uDpM5jOuB0rrQ3z/4HqeT+zjomXdA9sn5lSAtIm/fjN6my0hNXQBARJv +axX4ohWuuhcLCBPA68+g1DH07QXrmAkiBLDU/RV6GR2n9GTRssUE2BJ3dKQW +rVKw3Oy8OAFSZoOs36LHnNU/kCUJcL20o/onetNX7sdSaQLcq7msKvMF9+9k +kqXucgJU8frPc9EvahUkH8sS4O7m40s2o09EEjWsFQhwViDnqC/6vIbNnR5F +Atj8R+THoWPzbl/wXkUAjbsyey6jXS57jE6uJsCi78HDtehpgZ0pkUQCjKgb +ub5Fh6Q9PydBIcCvM5Gvf6I3aJYLZ9EI0KXBtJH5iuv5Q+V2GpMAdhSjVi76 +myJtQSWLAAOxTzdtRvdQ3p4y5hBg2K/umS9aotky9pU6AcInyFbH0DVfEro8 +tQhwgz3z4jLaPzo/ZVIb+2+o5/AALRR2Mz9alwA+up963qJFmmpVlusTwFBH +3HMGHefV++eKIQH222eNy3yb4qWbK61bs54AN/PPBaujvQ+lvm00IkCmmYiA +FXpoxrTfyZQAbnYjJ/zQW5vsjD6ZEaBzgLPyOLp2qlHsiCUBskQ/F11BhyeU +ay21IsDlEXn9OrTHWfLDvC0EME2+1dqLdtJQL9OxI0DZqgees+j3gR8WPHcg +gHap3ozsxBTvQqBr5Q4nAhCcqKka6BSr88+nXQiQrhVNs0Y/V7278cQ2zLeb +1cM9aE21RjLRA/s7nugWj/4W9sqrypMAJ6fXzuahm9ZPilrvIsC+LIezD9Ev +yjUl3+8mQOS3Ee1+9IM/BQcP+xFgXHLkza+Jf/9+Zqex7D4c72V24fLfMR6R +4OCSAALULdNS1kLT130WNQ0kwC3Gsfot6GPr+ub6gwlwZ7+53z70Lksn59CD +BPgpcGRZIlrxpr/8snACCE6RqvPRMffUdYsjsH52rttdj75cebPWNJIAl3Y/ +Xj6ILpsRLBiKIoDtygcP/6AlXmvyI2IJEHBW9b8Vk7h/zXPMVzhOgJ38xURt +9NPHEfcrEjDfVi4dtujhzDtaNicIUFStFB+A7oxVWPY1hQAWzjYGJ9ByX8rs +kk4RYJfBzI8C9DHDtFn6GQLIxCwtbkDPjD4XepJBAEejC7uG0ZecDgTuyiSA +xLnzKvPo5UuyTISzCZCfJdG38scUz+jQ5sNXcgjQ5zWRpYOOXXVphdElAkxJ +bXRxQEuF5CuOXCFA2m3plYE//v1+K+BoTD4Btgds7ktBX/SUsCQXEkBs69/c +6+jrIifDG64TYMExFe8m9I54candpQT4KHuHNYouDju5aHE5Ac6oPJxaMDXF +a9vD3X39FgH2PDCsVUb/+fOHaVWJ94tzE9ahbz0Ttf9ehfGrpDs4oUMPeA6f +uU+AXll/0gH0hwvKnTq1BKCK3J88hd7ybTOnr44Aa8Qj6kvRKssEv0bVEyDK +sDy9BV1ZuWkZrZEANXddfD+gtVJ42c+aCNCQEWq4kI/ric3npMAWAiz7JiZL +RGve9xpSaMV67V36xRAtEXcv+8ELAiSEJTe6ol/sn6/xfkWAL/2HL4Widxub +mEh2EuAhdeRwOlq1+YJGZRcBBPbUuN5E72xSPOb+FvPXILGu7d/zpFt5ov24 +Hlq/XPkZnXiweXvZIAF8SeJzi6anePqvld87jxBgxuXeEAVNWDDYLvQe1yep +gcYN6LQuZWrpBwKQ3MJKtqMdeV8GnD4RwM85IT0C/Vdxm4DwVwI8JkhFZqJH +txw9fmOCAMJtYn6V6EcvfQ64/iDA6/AIx1foZan0p6LTOD94XsYT6J6DL+Mq +ZgggvfaR5pKfeF6JO1Cw4zcBPodnkJnoyltUDak5AlhRhuQ2oguEfhJrBIig +tOWymBc67MBM+B4hIqTI9swfRbeKG+gpihCBnho/fQFt29np0byICEvelHy9 +hx4efvM1VJwIaaIWH96gGw1s39ElieCnt21kCp02v3V9tzQRDiWMDSydwfcX +7/fCxOVE0JP62MdGn1thpbFOjgic0R19luivNzwbPysQ4THFtt8HPU21fJSz +kgjT43cH49CaV1dQbZSJ8N0q891ltIX94HchAhGy90x8fIAu3llOuUMiwirX +BxO96F8iFx/6UTGetSKzs+jGoPsNygwikFc2CMrP4vlsWEHjlSoRelb/WaI1 +++//E20WiWcT4fn264o26KyHA0YG6kTg8dvp/uiAB/s+TmoSwf5XoE4S+lJb +3M8CbSLkJSSZF6ATdfX8t+sS4Xq1klsDmml3YbOcPhF6S6j7h9En9j9Mf25I +hEsHC+Pm0e8+VJnGrSfCL82r2Uq/sP7kMzwMjIlg/nfFbV10u/OeEb4pEc58 +EW1zRIfKWbaVmhPBYHXAeBBasnIj2WcTETKLrUVPoftzg4YJ1kRYWFZIKUWz +jIYW99oQ4YjRYZMWdJf0lawMeyLsjXrq/QE9GNVyxmYrEUixpxIW/p7i9Unu +m5FwIYK8d3sJEa2/JquhyY0I7uuTX/HQLqG7/sRuJ0Ii99EvN3SG61D2ek8i +DG/+jxSOlvBRuTbnRYTSW1mbz6JDmGtWVu8mgneEYVgFulZTYzbMjwg2j9zy +X6JtFZnrdfbh+F7kd3z9134w58d0ABEaOYsXSvzB+uy3l6oMJMJM0lltBvrJ +THH6gQM4Hm25vqZog90Wx9aEEqF2OSVnJ1ryJW+IH475CyZ3HEWfG7yYX3mY +CJ/FLornoE9uPNx58CgRDk6eMb6P3lY1vl83hgimJiKRXWjqp18HfscR4dOq +H/f4aLP0utGaeKy3DNeZZX9xvEKs6o4mEcHrKW8tFy3udGehcQrG9+riwc3o +gtkllaKniLDj2aG7fmgmfdfLltNEON326s9x9KabbVtPZuD8mbm2/io6breH +uUMmEaa2zxx/hOaqMPMVs4mgSGxoG0B7VfD8B3OIIOcsueIv+pFAxaX8S0Tw +Wd2xU3EO34/vM2FfHhHupcqVrUW3bhK21LpGhKzHr//ao8VWizz8XUiEBd1L +NweiMzbevFxfjOM59vRCKjr79sqJpBsYj9iCiWJ01zaHQvubRMhwqzB6it5g +GNi66jYR2mbenRtDr7OO2z52hwiLfqV9E56f4l1LveRWfo8ILuG1G4noxYt6 +Gg7VEOHPmd2XeP+uP1x/3rSOCDFeKX/c0EcaP/UurSfCRyFN53B0CPlTYl8D +EeKTHe6cRf+atL1a2IT9U5qWu/3v+kZtVkgLETa0yIS2owV5BauNWjHeivKe +b2iLP/cjpV8SYeLHM8MlAnye48XYTf2vsP9XvPOY6Cw72WPFnUSw7j8iboYW +NopiHeomwv4HssG70J3n3/IseonA3aHaH40uTl9bt2IAx7v/gXkuWsOroOTj +EBE87V5V1qD1TdYvuveOCMbduyhv0dGhsi8SxzA/SQfTZ9BPDXUWuo0T4WLc +IlG5BXxe1Uj1NbUvRLg1pBCuifYqq7wz/40IhvcLvm5Bb5jSWdM+SYRqVpWX +P7pMeKvKVT4Rztls7E1CZ68hh4XOEOGwsaNDIXrPu1u8Tb9xfVUZbWtEFwat +CFaZI0K0wJTlO7SxkY8cX4AEQ/PRzQsE+bzau7eoT4VIQNdNM1uNDjKWunpR +hAQlTwjN+ujpLSmnDiwmgX2juqUL2tHJ+LOlBN6/5VHrQbRWm/FtohQJbhx9 +ZZeOLlW78nl2KQk2Be7quYmmTgemvZQhwWEI9XyBlip+kl8oTwI1EYnPX9BP +OioY0YokyOtXOSguhP2Z27zSdRUJrr2rFGKg91fnH9JSIcFnzdZTpujh8+0W +kiQSGIx5E7zQIWtG4z9QSJC/IupmFPoRfXJNPZ0Eh94rmVxE/1y+xDZHlQRS +vnrd1ehl2eZ9YWwSmFd3+/egw33uv3FQJ0HN718LZ9AWhJD1Glok0N6QkyMr +jM+LSFaUWksCkev1OppoJld252ddEnTY7OnYgtb+orLyqT4JYmzS//NHkwMf +byjgkUC9Yb30CXRM9PKeYxtIsK9pf1khWmGYMLTLhAQHQ4i2T9CSjkJOJmYk +ODPuyH+HbiltMaRYkuAlTzJLcCHmsyYlfaEVCSTSzEAF/d7Rw+39FhKs+LPw +gwE6x9b+9BM7EjzMND3lihZOPaJX6EiCt3Fi+mHoRV8nbZKcSbCt1+ZDBtrW +tqF7nxsJlKuUMirQ168tbt+ynQTtWntM2tFeva/0tDxJULvPYPobmju8VkZh +F+bzyOmCJSJYTyXm7n92k8Akep+bKjpRb9WKIT8SXD7TstQc7RHXaNy4jwRL +X5Y0eaPfn3Yeur6fBD22MlGxaBff8a+ngkjwYc283mV0r1TyvtAQEgim+08/ +QOdmO2zbHkYCmxOet/rQ2qucak0jSMBd+/a/32inawUn2ZEk6C3rUl8hiuPh +6tohF02CRbKuP7TRwltjE+ZjSRAS6Vlpjw6sXlv24TgJvMW/hQeiU28nmLUn +kiC5Q2D9SfS5vSm21ckkSJg+u6gUTZd1ac0/ifk8UfGyBb10VKD61GmM95Zj +9kf0e8mzKw9nkMAl7oiP6CI+L/Yl94tPJta3MkubguYGDnMdskmQk7V9oRH6 +g0bd+/UXcfxlV3R6oLXd+yU5l0lgVuRUcAQ9usGmUOkqCfQPKEdkoxdz1CrF +CkhQdsrP5h46LfzYmtkiEtitNKB3oS1j/6N9KCHBAnaGwDQ6oUDwxJsynC+j +B3qWL+bzRDZa7XxyiwS523pvq6NtW3xK7lSS4Hl5c5o1+muut1/BXZy/cwb/ +7UNnaLllZVaTYIO7rk0S2vP3NoOkByQY+HJfoxBN3nfU7vAjEow1Ncg+QSeK +dvUGNOB8EN/66x16/6awbs8mnO8vAgYFxbCe60LNHVtI4KMl3aSCzh4fZ1m0 +4nyz0yk3RGu5vIsxfIn9M/tw3g2tfTnMSrODBFFclfhw9JTDgxP0NyS4Sx08 +cA49vOypoXIPCRZvpO+qRG8/WOol00eC+yUzDh3odmLUnNggCWxDbMwm0TN1 +jhKCI1j/1Rr60uJ83qE/RimzoySIvZCtzkbPxGyL/f6BBBOaqfRN6JAlVV8/ +fiKBdbYYwQ8taOfzfPgrCeInJVfGo49Jxaj0fidBs222XD5aTmjVh9dTJKju +urn8Mfo934L84icJrubaLhtGm90gvH76iwTRjYeWCUjweXfnb/9q+EsCTW+2 +jDLa+r5S+kMBMihl+8nro33v+OXVCJFBLpar5II2eV5BvydCBiu9o8RQ9PSA +FPHOYjJk9jgzM9AKHSdPVkiQ4VxUjWYF2jRlU/BNKTJ8tbhu2I7e/Hfr87Jl +ZPhoS7KcQKfINJ2/IUuGwtsUZ8klfB7rSflAqQIZjqfe9GGhFaWYmaUryWDx +pznMAm36yaSpVJkMMQp7T/igxdwU990gkEFCIDP3GPqyf/XxMjIZ1rdtqcxD +R6itV7hJI0Px5dPPH6E1r9YoVzDJoJyx4/0guuuD6flKNTL8brgnMI/euXwy ++S6XDCZWF5VWSfJ5Q6Yd09WaZCiylNJbhza6KNhZp00Gvx4xZ2e07fo01QZd +MuySSws7iDZ1PfezWZ8MukpXz6ejp1cx9dp4ZNBaZPzgFpp6z+1HxwYytE/7 +v3uJVsTF9q0JGSSFqeITaOlts81DZmTw3+SrKSnF5+kMJY99sCTDps8621ho +gXUKERNWmM/5M/EW6J5bJcdnbMjAyDt82wftk7FTbIEDGSamJkeOoUu1rIXF +nMjQL8lffhX94H3cgeWuZKBIxprUo92XrHJf5Y75lsoNHUKfE2TW0naQ4STH +vGT+n1UfpWt4kYGZGDmySprPy//x653BbjLs0TdaqY8+2vjxurkfGbw8z9i7 +oE8o5I077CPDkEJQaiiavI13yXM/9j9ioCUDvUX6ZVtAEBkWF3Yvvv2vvZv+ +IYdDyPD2/g7zV+hfDWrpSWFk4L48mPgd7dBBYmVFkCF5odJzqaW4nu7xXlcY +SYayA1ZL2Wi+knh9VTQZlhpKbd2Ebj9Mq2+KI8ORQ+45fuhk+st13fE4Hhb6 +Y/Honvur1MaTyLDhSYH6NbR3P/Hs7xQydEnmHW5Aa2tPhy1Jw+uG7JYRtMD+ +kter08ng8d9GRcFlOD957kUa57BeG775qaAznJRnTM6TwWArrcYQLRUi9MA5 +hwyrjb5Kb1v27/1Jmt93iQw9V429D6G/V5+uis4jw7psZk0muuiA36ez18jw +d0OubBXaxrLmbEkRGRTvXA3oRHssuVxTX0KGPzLrWqbQymfY23rKyHA5zIO+ +fDmfp1IVGvL9FhlaF8gdV0d7umYsXnwH8/fUdcwabet1QY5wD+vhm7q5P1rv +9pULujVkeJh6rvgEmq73IMe2DuuhMXXpdfTgh4WKe+vJoF8mH9qMNqtMljrW +SIZJP+7gGPpT7t7I3GYyCCzvMReR4fPYhVW+95+RobZB5jYZffTZ8dbONjLc +ujhIMEJLyk6UTLZjvmoMTu5Au50WXSTVSYZn+iyBo2gR53e9qt1kkNIr/i8H +vfdQNsu8lwzu7TXvqtFyCqY/vQfIcIm4w/kteoH1T/24YTJIm2W0zaLzjRv/ +Xhklw97t2zYqyOL+QKVZt/4D9jeusk4bHSwl9334Exk2dl1a54C+bV5PEvpG +hoag1VVB6E8Lx16SJsmQdICjnYbWP3z2tzEf/evl7TI0d2o813uGDNWrRde2 +ocVLfz6M/43rnWDb3S//nvfjlfv1OVxfHjAMJeQw//IZB1sXUCAqWP4xE53i +Zy8xKUwBJcNzluZo5kbKKrlFFIjWLe7Yjf6weHWRnjgFlGPtth9Dv1vudGu7 +JAWe66V8ykOXPn+vE7eUAnPhbmH1aJ0rQ3rXZSjQtKN20TA6S2j73ZfyFIiT +qMgUkMf63XGgYkaRAtrnDFir0du117FUlCmgQnStM0B7Cz5RMSPg/U8kHN3Q +rRactP1kClRdtf0Sjg5OTzyaSaPAqh7WsUy0QMC3T4+YeD3qvEoVusc3uOOz +GgVW3sup7kRvUeLqyatTYGeutgsf3aSiu2qDFgUUbHfOLlfg82pk8w/vW0sB +m8/kLA30qivJrpl6FEg9cUjfBq3vL3KnwYAC5lt2Dwagn1NpJyeBAqH2H+JS +0NNRImOrjSmw8M4cqwT9fc39+5s3UuDvmaLXLWhhQTfJCAsKiEp8jhxHf7sy +31+0mQIJuvWqi1fgfmCkWq1nCwVu63G7aejyxKJfi+0psF1NM94UreczYKK3 +lQKJ7Gc6u9BfHQKl9rhQYKnb7/EY9H16+NbsbRQIflWXcxmt+HCJcqsHBXrL +lewfot8sNN4p4EWBLbJS4oPorF5NmuZuCiiuPFc/h36kNuXr7UeBzsE7h1cp +8nn7Pp9XzdpHgeIYf119dLjMhr2t+ylQRqiedkHn5vxVFQqmgEtX7u0wtF3y +qJ/OQQowG5RCzqGt3kkz/MOxHhZyde6gB0oyvPMOU0C+quf3a/SR38mkt0cp +EDar9HAKzetb4rEslgKZY9PHl6/k8xr91ZQsjlNgUa7PFg00t1XIKTqRAg8h +UNEG/XpVwfL7yRTgjC1/H4DuilW3njpJAZPyzbdS0Brqd8TYZygQVL06ugQd +bbvF1OcsBbqoibbP0GYqMoJXsihwfUky+RM6pnuFYf8FClim0mcWK2H93gv9 +teISBajNbs/p6BlRs7WOeRSQ6GbkbUQTJS9OpV3D+u5NjfBGFymla7woosCG +yRTHOLRe/PrvS0qxP2tpGnnop4X3uZvKKXCv2UmqHh3Sr/g9sYICPk9IX4fQ +nQkhGk/vUEDNKr5VYBXOV5n3U4vvU2Dq0LGy1egP40d1LGopcMlf+YwhWjLK +/W/iQxw/4y1h29D6lhlGzx5TYK+ikkcE+tcTnrhkEwU0pKLNzqMpBwPtt7RQ +YASiNe6hOf0mq0+3Yn08U1LuRu9LeLmn8yUFrry0EZ9Bb1ikpqf4mgKP9hJ+ +ySlje5MBie5d+PzqpPE16Pahcrcrb3H+DJzstUdXBYmVf+jH+TzJfRGEdrY4 +dZw9TIHfy/c2pKEDl7oPBo/i/PLcUF2O/hwSf//+Bwrk/L5V8QKdyKavEPpM +gfN/60q/oZ9O2c9afKNAwzHfIsnVfF5lHNXt9CQFSLdLrqmhjXMr1vfyKdCa +n5y/CZ0tIV9EmcV6DVt8bQ86NmtXesAfzOcmQmEi2kKhSujePOZH/3VxITp4 +G5UvLEQFLx/KzSb0M/Mm3y0iVDj2dendMbR/7e0d2YupIPUl66GICs6nHJG+ +DxJU4EbXtVDQXa/b366RpsLnlug3xuiDDhruMcup0Pdh6N1O9HtpA6+XclQY +nO77EY0OERX/ulqRCrEyB4Uvo+XXVvz2X0UFokeJ3EP0lStbkmtVqND58yhz +EB2/deayJBmf/+s7bx59xrNefzuNCmJxAluVCThf3ja7lDGpYHynOMAAXdlJ ++ruATYWVN6YT3NA5QR9J9upUyErsv3oI7fJWoy1fiwphPl71WehWTYX52bVU +UN8dP3wXTSoqv7V5HRX68yyEutElwfJfLhlSgQnXKTPo9093XJ9eT4WorUXm +8kQ+b/xjwVdLEyqYLTYL0EYLyCy8c8mMCr+DYjMc0JfTUoRnLKkgUrn9QTD6 +c8W2N1bWVFj2tfvjabRIUyIn35YK5/R+yN5Cm9HZS+YcqNBw97pRO1pf02O/ +ozMVXiYKBX1Hl5npOt9wo0J+y68r0iR8P7W/fLLIgwqbzp/q5KBl1m2o9txJ +BVGFJjFr9C/+Ze0abyoUeeSAPzo9TGKtgh8VLp2WCU1GL4OzNUH7qFDRxiwv +Rj964fq0bT8VNDWHPrWgvcsDt7GCqXC0by39EzrJZyok4SAVgj+zvcXIWB9J +s3Jj4VSgRjZeZaBJ5VkGJkeoQK6Ye2+GHjw4MX4lCvtX9Ibhg+45sny1UBwV +th618T+ObvVT6vGMp0K3/d6KfHTQJ5JSfRIVzprS/zSglco3jJJSqZARHGcy +imbuP7UmLo0KFn9jTgpT8Hw1Sl8ylo7xzZP6SOiQdsJe80wqeGbtUjVCy8+f +sS3OpkLcZ7NDnuhprfN1UrlUKJRpfRZF+bcf2VwZdIUKjer81Zf+WfSxZlc+ +FU561gbXoU2dFXQNiqiwsZHRMoDevmJn4+USKuw+tJY0jw5n17xdVI7xXxqL +UKbi/bG8sIAKKqg46nUZoP2WCF3svEOFU3c5a3Cq8TrqVDYb3qfC2vEnpyPQ +X8+Vx+TXUmGDqNDUebRwZusGqUdUcOQMOdxHX2g8mRjaQIWPUZ53e9A9rKWu +w01U2LvquPIvtMaQT8WmZ1TwIFjHraBh/fPLMu60Yb0X3/uigy6OFxQkvaLC +fF/zVic0tzZkOqWTCh86IuoPok/eowb/7qaCZdkr7ln0xHXVQz59GE9q68VK +tPDjHPHOQSo0ndwn3Yn2182kGL+jglxHWTQf3W6m1XxzjAquoeemZei4H9JJ +mCZ8okJyNnmvFrpgc3nJqa9UcPBwGLFDv3rR8HXBJM7PYaZbEFpJafBuIJ8K +aeuvdqahC+NWSL2bocKXC49tb6IX7En66vCHCjy5hBcv0ZMca6emeSqMNk9a +f0dv0j2yaZ0QDcS6FryUZmA8P9VbSkVoULe90o6LLh2K6SCK0aDgqHSXNVps +b7LP2SU0mHCWdg9Aq8j5HJdYSoMSscrRFMa/852aerQMDUJvLggoRY+/m941 +I0+DoP0/Zp+jLxP7KQEraWDvlXTsC1rtxp/975VpMF3cLLOEyedtpO/d6E5E ++5bmsdBLuKaFnRQa3L+nq70J/dwnL8OaQYM3tXua96AVD+dKNbOwvXRj9yR0 +McFexohLg7ltj6eK0H9Fu/NqNGmwTufTiafotHGzhzpraWBgdJc6jg5KrvGt +0KNBWQ770WJVPs+1cksO15AG8n6W2xnoRZpK20vW02DwsdScGbr6pW4x04QG +ta2HcnzQsXvq4wrMaPAsPxXi0YGD7Z+om2hA3mf57hraUzq6/6o1DQTX30h4 +gs4eHt9GsaPBqg33uWP/7jel+V11pEF3akC3CIvPO8C1EaK60IBo8SyGij6T +Ec24to0G206+5Jiif4S97qXvoAE7OrJvF9qxf+eq61408OF1nohDS7Ru/KTm +Q4OosdcGV9HZW8+blu+hwY6sIxOP0e9PhXLWBNAg4OCLvHdoq3OzV+8G0qA5 +p8VFWA33+/E6RYYhaM7+ZWR0coK1/uMwGthY1LYYocObndwsDmN8kpXHdqK/ +hvmLvTxKA5nzW41i0MOtRaZOsTR4L31lwRV0sCh96eBxGqilnnv4CC3vI+Dn +k0SDldo6McNoS20rm+8pNDCmRJsKsjHeh6pPwtNokBQRIk5Eu7veahHOoEGP +q2z7enTFjnn31EwadA27Z+1AK2gyoxQv0GBS3c4rCh2kbqWRn0uDcJ9JziV0 +z5O4QI08GlTl6/+tQ0/u/rT+wTUaGEloPBtE0xMzczddp0HE3fZsAQ6Ox9Wi +lJ5SGixrVQ5QQR/l6Ur43qTBF185I0A/Gtq+YuY2DXaV3FXwQPfI6FYev4v9 +r1o0EYn28BsYlq+hQUiRUPNFdMeRfRcL6mgglFd05QGaOvX3k+5jrMeGv5ED +aD/f600tT2jAYP/dNo8ePn5yjXsLDRLmCgxWc/G8KdSk8b0V699xwWoe+m7q +3rrYdhq8dhQR3I72/3iuX6GTBqPKVe+PoAte7k4u6aYBrU3ueQ7aTXrq2YY+ +GhQdJ96uRf8JdLrQNYj16/M2px8d23Rjzv8dDYLT1ifOoRM/yXxf+AHzS3Y4 +qKyO/a27HHzhEw38QM7bEH2PEpyw5hvma2GcoztabmEep3WSBm9PXzI7gn5j +v3n37mkaECT26uegyxcmcRf8osGNlHfqteh6mdCk839xvq4TZ/Sjq49xQrUX +0OGbxiBhDv3Y7dn0S2E6BKfvVFLW4PPWFfqK+i+iAyEmXcEQrRVNLBKToEO1 +UoicO9pjfunANSk6eEUvlDuCFjOwyzdZToesDiP5HPQjjwUC7+TosFdTXbEW +PXxu7edoRTrkPniu3I9uklu6h6hMh8jMFZQ5dK5kYcQjAh0uDcmoKWvifrpW +kbCTQgeVqgfahpr/vp+OchJm0OGjgeIGd3S56wwxn0UH5mmy9RF08GDWUTMu +HZy6+rfloPusYv/7pIn9Y5v716Jb/rbxU9bi9ds7j/ajL9tkLtFcR4fZZPaZ +OXR62e+qN4Z06O8qLFTW4vNuJi6bidhAh4TK13WG6AdWs0+JpnTo23iz2x2t +8V+LerM5HUaKeVNH0FVheaz9m+kQJXJE+iLa/OPF+/I2dCg/sI/9AH3Eorv/ +gT1eV5S0GkD7a+zN8HGiA1fOI2AeXc4NHl7qRgdyws601WtwfXgvUX9/Ox16 +Tivc4aFNf9roeO+kw/GtkX3b0UfEtm9YupsOoVNnFx5FN7ZbD1X70eF2kicn +Fy0gCLK+/nT4bTDgUvevPTvLftlAOrxVlYwfRBsnJuvXH6CDfci3SgFtHJ99 +RO5/YXSgG8aMqaDLmyl3Vx/G/uU1r1iPzg649ab1KB0Umx9t3oE+oT+WdCSW +Ds+e+8dEoXOX9b1mx9PB9tXze5fQ0p1ltweSMH+/Bn48RPcHHVE9lUoHntdV +9jA6pnfHWqPTeF1deY/gWtyvCh/s5mfQYUmMRSER7fWte2lhFh0aw5gfN6B3 +XMkfdMuhw5R2LXMnOpw2a7L0MtbX24X+MWi15C/rG6/SQTJ+wa0r6GOfL3Yc +KqTDQvfy2Xr02R2sOfUSOsAR2Q3v0Hulb9R+KKND62L2CWEdXM/JxnK5FXSo +J/x+Q0Z7tYkudKqig/lYBMUE/Z4nlyRdjfk/dCt4F1q/Iqmg+QEdhOZzGuLQ +w0Gx22Lq6ZB+mqeQj174SKnI4Akd5pzT9zaiG7/tT5l5SgffoNxH79EU2wti +Fa043gt2KIrq8nnKJrXK+9vpoEN+E0RDu7EmnrI66SA2J9i2Ea26x1pqvJsO +j2+8U/VBdwbMfLrWRwcPl4jEeLR+megO7yE67Fj9dLwAzczP9KeM0mF4deum +ZvTsq6cyox/oYHw4vuwjuqzujt3Vz3Rod5qVFdPDz89EqHpPYH28UjnMRFtI +r82mTdHhnNT8qAX6TK5g/sefdMhWO7NlDzrF/I9Z8W86DFoNViehD5dDXMA8 +HRjpI8xidGjcZxdNIQb4E3KynqHZh5Se/hRhwDFZaYkvaDHzL+3VYgw4l6Yb +uWQdnm/KDh2IlmQA8Z7ilBq6IORdudkyBlwqueVnha71M46XkmNAaIrwiD+6 +cXvVTOcKBrgdWbItFR1C3yZ0cRUDMnNau26gPxVZF+wmMCBE2szxBbrzefEY +l8IA6nTY6wn0dOiph7/oDMjY7+W4VB/P07mK2g0sBuRdEu1WR2sb7jI5yWVA +UdHObbbow1tSvrlq4f0loSOBaNbATS26DgMSW0z3nEYv4n+T4a9jQCO1derW +v/aueJ58xGOAxqDk0Q70UXH6tZNGDJBXXLyEj9Yz3ea8fSN6uvq8rAHuj0JW +X2NbYr7SmSxttMyzpJNzVgyQUbStdUQ3HHog22bLgFtXNW0Pop1q32jnOjJA +z6Vt7Cz6RPv3H/+5MIDlTImsQr+ZZ242dmdA+OM1Ct3o3pO5G+Q9GdBRI3Br +Fj3YHdAxvosBf7yPWSsa4vt+TaXgA18GDAw1ftFDxwueen56HwOMtzxKdjX8 +9/3rqjW+/zFgQUcoJwI9mBGmyzvAgEWp4+3Z6A28Rz2yYQxQuyIfWoMmKsmu ++BLBAE8NgdX9aP3S1KnHRxkQ4Z73ZA696Yj1vguxDDhiLhy4msfnGcoGxoTE +M2CbrIoyoIXEZNduOcGAqpGfLR7owjmHeOZJBki8SToUhX5zwvbgwjMMsFra +y7qMNnOjCw+dZcDCig8Dj9BbVfjsmvMMKBkqPzOCnk3o/Jl5EfNTvdZSGHD8 +HMbdD17BfO8KF6KgVcytvByuMeD6fFiNCforS2WR1nUGMEq0w7zRlq2HLZbf +YEBFapn2cbSkcJzqj5sMyGoe419DZ1+zu/6qkgF9Eb2VTejBK6JPK+4xILkl +JewjmjFQezyjlgF7uuYMxNbzeSbmZ9+FPsLxeMwSVkV/7y8ddG1kQN0thWeW +6LxzpAjeUwbMNT5K34tmhi+/Q2plQLeK6o5k9KWT2acWtTMgeMSGXYo+Odkr +/vU1A7aor/3bipasmKR0dDPgCevt82/omz9+D9zrY0DzT4Nc6Q3oHjm9y0MM +mKnYHqyOnji9QytxlAGpx8DCFh1p96s18CMD3qUMEoLQ5+3mF7t9YcDOCd7v +0+grXSmjJt9xfJ+7d1agQylPdnD5+Hkzg1uv0UaJjUdWzjKgNubtqWn0uW3X +9UX/Yj1f1g2UN8L8TJ0+/0OACbsbttrroJfeyzk/KMwED2ltHWe04Ipx/dZF +TGi82rEqHJ126ExktQQTfl7TXHge7bS1eud1aSao69p9vY8+xj76MUuGCawI +ze5edEjMnHSSAhPSTnc0/EXfH3LoOaTEhIpL2hXKxnyebX+eyT4VJuxpds7j +oX2kxOy2k5lgqGaY4YHeIp8naEtnws1vIwlR6Lrzp+xNWEwo1rSMvIyuMv9u +pstlQvTK4JB6tNOroQE1LSYwn7oHvPt3/XvUCpIOE0Z3iPstNMH9VsAEX0Ef +n78w3JuKdlq26YAUMCGjq8hrI3ru6q2zIsZMqPtzwcsHnSJkum1uIxNM0u28 +E9BMEWLjtCUTah63+Bahz2d4t3+zZsJMiUhAC/raBY3oj3ZMWBQsHPIZrSJ5 +9fXIVibY6DYcWWKK69Ng77N+VyYQCeYJbLStzOzunu1MeLb5ZLo1uqhc4Vrn +TiY0DWdd2Y/WqXdJfLWbCa6CvrdOoZV39S99uYcJA22/Ht9EdxU9MmgLYIKZ +/5auV+iqu1TJ1iAm8Od9v0yht9QyYp4fZEJmwUZhuY24/r0fz35+iAkXEz8q +rUU/25vg2hrJBK9m67VO6OhE8oO2GIzveLhdGFrs2NsnL48zIe6D739ZaMMb +zw90JDFhXlL51H10moti85tUJugqn73Ziy7vG3z49jQTHHRfv/6LTrwAHoNn +mSAR0/VL2Qzfz8LOeaPnmSC9+hIB0H7h5imfLjJBksux2IEWi1BXnrzCBPHu +6OBodEwS1372GhOeGGTnXkHvIntzFxQzYWXUodbH6KL27zcXlzFhukFlbvRf +e5wfb5dVMKGDc4Ijao770VcJ15WqmCA1XONJR6c5vybQqrGe5m+fNUc/9ecb +atQxoe16cKsf+l3DYiHDx0zgiv0SOYHOEdfwt2hiQpeB6foStJJwytGtz5hQ +7+t8uBX94YCB3q4XTFh8U/P+N7QCzeN8UAfOH93Xv6Qt+Lz2L7J50V1M8CcZ +6mugX186Yp/Wy4SY0/6RduhG0r3iy4NMmCz2fhyMbnL/UHzrHRO0TlPFM9Bm +hgyHhg9M6PYttbuDtqjOvvrmM95vN3ehC939xjNnfALn1wG58Vn0cOp53twU +E8q+T69daYnnvR/eCctmmfD908Xj+uhGhdFDtL9M+Hp8afc2tJuCtrzBAlXQ ++mjJikQbLwt3tVuoCiaa1lG5aCLnpZnfYlW4kLCy6yG6P8d1IGqJKryTKueO +oE2zdFdnLVWF3I9SScKbcL32Slp0S1YVcvR0xihoK/jv/LMVqpBPZZpsRPcG +iXe9X6UKUy9G83zQPc7htQuI+Lxte0QS0YWW/VarqKpw/ts93+tojdKtCbpM +VdC+3tH6DF03IeLvyFaFXRVVa76iyRESf4M0sH327hypzbjfbo7XTtNWhf0G +g4vU0WVu2YrleqrQIUw+YIsOebC78IWhKhQWaIwEoY+Gi49MbFCFR5sk7NLR +PFLBk6UbVSFTpvxxJVrE3X2rpqUqOJEJOl3owFarNAdrVfh90a1kFm2xIis0 +1A7zd30neaUVrqfTHmLZW1Xhqq/2BX30R/LjjXWuqvB8vkPeHS3n8Y47ul0V +1pzinYlETx8cbhDzUoWB9SHLLqG9dQdE1H1UYYV2WNojdOOh3z+27lWFjafM +ZN6hO0hOyZH7VeHHwXdnF1rj/nmZ3KtrwarwZcnmVTT04DrHhhehqiB1MDrP +zPrf3/d0vX5FqML0m1g1P7Sf3NANcpQqrLS3r0pCCzbvK7COU4VnUt+NS9Ci +9wSsDiXg8ziur1rRUn/u5V5LVoXTnWk7J9CbrtfkdpxShT7GOf7SLXzezDjD +SjBDFRw270nQRP8dUSnkZqkCa5fEagf0WGN9+fYcVYhMP1QZgq5s1/RJvawK +CYJ3rc+hczakPXuQj/G/eDx+Fy3oJjAwUaQKS8kXj79Fe4ZcvEi8oQofVcyo +f9Gs9yclHW6pwrVPDxqVbfg8RfFp1fg7qhBSIOILaI75xM/791Xh7SGlJZ7o +AslLgRMPVKEzYcGtGLT3K0Y25bEqEH7edrmKtpIpDnZtUoXRMV3hJ2hTW/M/ +p56pQvXR5Bsf0G4rSZrNL7C+R8vcxGzx/SzqumLBa1VIWZcnzkLvL1l2Q7db +FW7l767ejLa4tWcqsE8V9lr+9g9AX6w//rF4COvJajvpFLrgRHzK2KgqWHWc +7r6JnmtNHSGOq4LBgsxTHejijQ8+uH9VBe4vf8tpdH+1Ts75SVVQG5EVVbDj +8zJElIW7p1VBZSj5sS7a7PdJRfnf2F+FNzGu6MGQW0MO86rgWfrd+DC6a9c1 +53QhFhQ19ole/Oc7KdGvRVmQcuz8szq0oGeSm5wEC7yXqZ4eRgt4PRjbKs2C +ZaknXIXtsb3GTeQsGRaoEOooVLTMWYdlfQosSP/S8H0jOn/0d7nKKhY8Vsh5 +4Ite8maH0C4CC44/MUtNQm86UyhSRGEBX7nRowSdasK//43BgjojOa02tOfK +3SRtNgsiXXQXf0f7biUYHNZgwc/jnMFlDnzeEJgubtBmgdv3mSottAtx5viS +dSxwvp9+2hFtYOt815HHgvdiIvtD0d8ZJy7kGrFgRtjCKgv9VOyW1qeNLDBu +3cGuRtvvmjiivYkFTUmbpfvRTkXeEdFbWHDXc8nUPPqZnY5amz0LCg5e6iY4 +4n7+w/FTSs4sGPu2+KERWvfHwUK/bSzwmDAt2oUOFlE9cHcHC9g5TunH0afv +1U8t8mbBRmVedCE6tsKL7uzHgpL0X/tb0EdyuNJF/iy4zkja8QV9nWFR/DuQ +BeT5CTuprfj+k+74s/kgC1zXsczU0Rry3xdcOsQCSyEDQ7ut/34/8Pj+VCQL +jkSQtA+gK24FMM1jWdDSMsA5i17Nl7PKiWeBvVyg6t1/ny/tpU6dYEFzVA/9 +LZrcMFJhcYoFLzRW0P+ic1StZy6ls0DUms1Y7YTn+YH132czWWD3ewVrPbpk +rP+ibQ4LLm7r5e5EK280Fy6+zILPWQfWxqGfSeQpi1xjwf6uUd41tLbDsm8e +11kQsk7Nohndb3LnQPUNrJePlo6f0PUilTcVKligvmiD1xJnXF8b1PMPVLEg +rVoqmIMurt685VU1C/6o3o6zQT/SUitXf8gCRoRGZhC6NOhH08kGbK/9eGk6 +uuxJ/dmJZqwf+9sNd9DnUh6usmllwS7a/f5udApL2vVmO8b3X+bsb7T24lfW +Mm9Y0O64RU7ZBfN9Vu1PyFsWmM4NaAHa08rIo2cA7082c/BEt1asjTB8x4Iw +euLBWPQxe/aWKx9YcH4673w+uqvaonfRFxZcVcp82ISuTypTCfjOAv8674/j +6OidMas6+Sy4JCq5fIkr7se+v283+MWCAflUQw46c2wO8udYICY/vscGPTf3 +dbeUkBrkMlefD0Lf+9WzMUxUDfaFsp+lu/6r1/eDI+JqsIqqMH8HHT+yRtNa +Wg0anXs1e9CPIj8b3pdRgwW6h/z+/Pu8B1uYvkINrn2cuqzshu0HrY5JX6UG +LqfM+wDdXj5yX4ioBmscw1bsRCvLXSwNpKrBEvfYrXHo2msHXIeZalDb6nf2 +Gpr8X9IjW44aWLeyupvR4ceE39VrqoFH9FOlz//aE11Yt0ZHDeSXGntKbsP9 +8qpyxwJ9NXDMzSzkouumWQUr16uBmWPLpC1a+Ul2RaqJGnQ6dRscQFe9IEcI +W6jB2+f1iWfRG90+zoVZqcGDt4ndd9Gnb0saTNiqgXEBm9mLPqZzV3v3VjVI +dr4RMYeuXb/kc7+rGgzILnmp4o7v+3WcbVs91GBC0IxmhA7LNkp84aUG2zd6 +RO5Cv3/jH2ThqwZqix27j6Pz/3ut0LBPDSz9GWuK0HlT58MhEJ93oSftGbpp +6v256hA1+Hvfd/IrepnU2yDdQ2og+73Tbul2Pu/yQLb4nUg1OOZJvKOJNpG3 +8VgTqwa+2puUHNG79yoFVsSrQeRp+5hQdM9Z0nqtZIzv4rrPWWgLz6TnFafU +4FzUgq016A3nQuW1M9QgYnt+/QDaX1J6dVWWGlzYztQQ9MDxuBbyTu+iGgQX +JF8mo/eZvdxde0UNEj1eyGxEOw0aF24oUIMVpZPxvmhj3+mCJ8VqUHpnai4J +nfFObPfmcqyfK50hpWgth2sjr26rwfC5cxMv0CdfTii73lMD5Rq9vT/QpaES +K0Zq1aBkbc1H2R04P3atbt9Trwa32Sq+OmijZisL/hM1uNO0c9wFvebVg6jI +Z2qQx4rfdxi9ofZsqNhLjP9o8uRFtHv3b3bGazXY8Sko7BF68d6lV4k9aiB+ +Zp3gKJr59G/PjX41KMp9d0LUE88fdu9fGIyogZFOwAomumX/xLFnY2pgEPX2 +2ib0w3Pr/7p+VoN7lxk6Aeh7uvOanyfUwKve+ekp9P5uK9XDfDUIXbzXvQL9 +WchxRPKXGkRne0x1okNN9dwuzeF8ubz2xCz6pykhQ0uIDZJG3ylKOzH+XO6p +JlE2vM5LfmiIdpxL3rxNgg1iXyW270ArKW9vmZRmg75pwFwMeqKyWSxBlg2U +joqL+WjJtB/iKops2Ffbt6EZ7XdUsO2OMhv8WONjn9CNW5Xst5DYUGPckyLp +hevrH+/zH2lsOMEuXauOjti66GoMiw0D0t7Dduh6F+p/yupsOLNMMDUELSE0 +Nn93DRv6XaINMtEc2/02jnpsuCE99uU+Osfhw64fhmyQceXm9qMp5AMGp4zY +oLHD3X7BLj7Ppke/i2PGBrrFf2Jk9NfLu7TbNrHhp77vI1N0a7GsU4ANG1bu +MI3wRcdoBBlIO7LBsW+Rzgk0PSjvfbkLG1y7y/il6Ko7bXb229lw+5Dh7Zfo +QJeVcT93soHzuTxkCl1QURJ+3gfjsRHXk/fG+maWaME+NizssJjXReNR9tbo +fxhP5v5GN/QR1eTppBA2PH8akRqJ7rpxb07jEBukUgJcLqOnDb+19ESyQUfc +nNaALvCzcY+Jxf75Lp4eQ2u/EK1kJbBB6UVZo9huXD+X6L7qTGZDszcvUw09 +/0a8MiqNDTn2t/dtQQ8P5rurnWVD9cNlxkHomBHu8+7zbCjt2KqUga4ue7Hg +eC4bim/HTlehpZeW/NG6ygaRE5ntb9FpQ59rRgrZMH8ko2xu97/vq+6YnC5l +Q3bloZMEHz7Px1vjjNEtNnx0Ng80Rhf9iSucuoP1cmreYTd60YOuuPxqNujF +5KxLRPffsWE4P2QD04lKKkEf/SN/RqKRDfvXnpV4gdbNt22se8oGTfPvPyfR +5a30ugNtOP4VWqOyvnxeZ/7DKNUOrJdLOzp00KaexuLDXWyYXRva4IomGXa5 +Zfbh8y6GVh1BO0XlhdgMs+HIvGfJJfSf8BdOYmNsWHN0bd5jtMyxGKHHn9gQ +Yz6dPYZWmHsXcmSCjef9i2fF/HA/Z6d0S5ePn7fXPKOGvjm3pYo/i/17X562 +BZ0cWnTs5hwb3mxfeToIXWi6RXm/EAc2fgxIz0BLzPpGshdxIKjoRuZdNLBW +F32R4IBtS8/FXnR2zNmckqUckA7+fm0ebXj1l5u/HAeSnv0oJ+7h8xZs3D/K +WcmBrD9DNSboQJaKzuRqDsSyqlt80BcUNBxukzngHxv9NgnN7n6uH8bggCJr +zZdStLDVym8GbA40W3YItKMvO23YK6TJgefiHnJ8dP+wX0XzWg4InOlSU9jL +59WMVj85qc+BMgnDjevQf9w98p3Wc2BFzklPd/Rjh8NbCKYcsN7/IjIKnd23 +rnHcAvt3/W9OHtpj+WPR29YcMA1VqHuCjlMylD1qz4Ercyoj4+gRYvtXS2cO +zHvLL5Lch/sXj4IzCu4c2IPrqDo6Z+lHkfee2N6R1q326L2R1SYVuzngfiQ1 ++iB6lYilTcxeDhxewLuRhdZcUMOw+48D4dy+vhr0xAu9NlIIB1I0/SSH0L3v +Pq/nh3NAUPM9CPvzeevu/o56EsmBfVttDtDQfq9TU7NicTyar1+3QOfVvfTz +T8B8lvNH9qEzpMaXG6VwoG4tR/kUetxzQZLCaQ5YxDm5VKBbPeDF17Mc0Hv0 +37k36MMP2kYasjmwU/5Q1y90j3ZXw4VLHNhWEqyoHID7gaTokJB8DqQVu7uv +R5uc+sm3vs6BdgPdPC+0hYqHMbOMAxMJwp+PowPlR3csvM0Bn7t1a66jHb1u +WA3d5cDs1L6oVrT27JhYbS0HgndJtH1Hp7TfyThfzwE3zWxl2f183v1fGyfD +mjhw+viq/TrovuMPVzk/58D7xJP1ruja05tX6LZzwNObrxCJDufJjq54w4Hj +Gzbtv4y2qFkf9fstBzaZpTc3oE8a/fnSN8iBgtwX5I/om3L+qg9HOWAVPBcl +8R/u16PrdK+Oc+DIZ+UhDprarbQi8RsH2tQ1Ntih2RHFzQFTHNi/T+dqCHrZ +63OWjrMc0G1SF8tCK9qLXzSYw/7vUf6vBt15V244bQEXUiPnugfRBdvPbBMV +5sJydruxcCCep3cu3xAhgs7NLKeh/0spSP2+iAtxc/YqlmjubR/T3eJccA4U +PuWPFrjh4923hAsrKAVCaehxh5pvdtJcuMyD0NvonMRDw0+XccHo07OvXegT +nCrDDbJckLWx2v0H3aQeL3xPngvyWY+HVgehjwpoaShyQWaC426EnpbUfl6k +xIVnh072eqNNXxu8IK3mQq/3e7dE9LJXLIMLBC4Y9qgPlAT9+35OQUaezIVH +84E7X6LvRss4nKJywVag6OMU+qTZWgEJBhcsF775TyEY958B6bLHVbkQrPPr +9zq0t4RxuiCbC98eLY/fjlbQdYo8wuWCaitJLgbtqzD26pcGF47GMPPz0fkv +Fp4+uIYLNRJ0nadogRPN1VNruUA6rfTsC3rq4EabQD0u7INFnksP4H7iyZkt +E/pcqDD4NKuFnq1qvOfP48KLiobTTui0+MnUL+u5kN12lhOBXhuq9mKvMRfo +d3Y8v4gWaT9x6LMp9jedtK8e/WqUkrbXnAvTp/skx9CPhSVlvlhyoaU39aZY +COYzymWBvxUXxDP1nNjoFzUqLt+2cCFmsm/eBj24MkT5Pzsu2C8PLzyAFp4P +sPrhwAVBipRDJjq0nTR+wAnjt7kgWIM+KXbt+4wLF6oekm8OolcoS+2K2MaF ++tyrO4UP8nlXYv4zFvDgwoy8ijwdfaJ6JDXWkwvvt5x5Zonea3Vo4+JdXBg9 +IBgbgPZ7tHlPym4uhJb5GZxGv7u+//dyPy50MZ/PVKILz8/+zNyL+ZRiVvag +h+lzHioBXGg8FnVgDi3w87T2tf+4IFH9SpsYyucxCl+EsoO5oNOt8ssk9N/v +rZpplSFcEFvk+8AX7eOUbmQYxoWowOJjyejAO2bPGg9hvjZ8si5Hq1bPPrQ+ +gvFfoax8jdYg1ZK7j+L9Na4fZtDPSq9PecZwgVCdfEcpDM/zlC71L3FccGq+ +Hw/oRjvn3oPxXJiUfO/qhb60xGRKMIkL0Xck1OPRgozysJRkLtC+cBYVozuj +b+1VPInx9VgPtaE/zO54np/GhY6CvdU/0KSD7ec103H8Y45lyofzeaNjil11 +Z3H+nLkQug4tqWsTbZXFhSMLbzpvR3ftTMrqzcb8LHisH4N22zmgsuciF67e +ekW4ht6/dqfsr0tcYJoMLWpB646xQhPysD6GPn//ii4LtzVfcY0LOeXTvcsO +8XlqC8fjCwu5wBiaa9ZG919YvFavmAv3shbedUHruDyxaynlQvgi8aIjaHDX +HXAr50KdvdSFy+hzLw50f73FhSdFy9Ia0btfp22IqsT+aMkmjKOZl/IVZe5y +oVlJPloygs+z8nuy49p9LiSmKBzWiPj3+yRxhXW1XFhYsSLcEf39bbxBWx0X +lKsUw8LRsWKO7TvruXCmYWV4DtprXULnTAMXRERXHX6EXv1AxyKliQuS15Sj +36OVv4arkVu4UPlCJUHsMJ9nS/A+eu85Fz6VktLY6PW3pY1sXnAB9tIu2KLD +pU8d+NDOhQhNVlEIelHOX/mjrzE+jsbdLHTV071MhS4uNCXpPq1FW4jzi8t6 +uOAWuKFvGC3YV3zRvI8LKZKbJ0WO4HryoEhwZIALCUnOi1XRKmsWdkYMY/3K ++BCt0VrN7SvkR7mg/irUIAidsZjZWj7GhXc/klzOouVOEH5sGsfxu3Qp7D56 +5lNb/IfPXNASuZc1gI5sskyN/cYFBavXNUKRWO9ProsQJjG+Kz+GaejgUyLf +aqa48FlDVmwT+vebQDPXn1z4RdHT3I/+uEV0+ewsF+4WeLqfQdff7rE6+4cL +f0ZTkqrQFQ1Cf9bM43q7+MG9XnS1aabi6wXq4GPw45PAUT7PWeRmUbCwOtBK +VVdT0HKvvIplRNUh/5iPvTlaILpp9e3F6kCdLEzah2778kPYUUId/qyceHwK +TZn96/pTUh3COesEKtG3T/wlZy5VByOnJIMedOzJxR7rZNSh6eFgxP8U3Wk8 +lF0UAPDIli2EEFFkyzb7PnNGWpQUr1KhDSVZok0lWyoJiSKFkIjsW6gkW6WS +hISEKEm2skT0nj7+f8/MfZ577rnn3juaaR59aYIu1aVIAKlYVsXKQMzvohSD +QGUCDC+MF1iPfv7MoUJLlQDlJMH1h9EbiYFVz5cT4JeVR8QVNMxqMtxXEABC +u98XotuMHFbKaRFAXmynZhtapHuN3wNtAshMvT/yBx26asTCQY8A74McKjWC +cP+geiJioQEBvrR+k12LFhsYMc00IsD88rPOh9B5uUddrQgEeHFh6cNw9PMU +JeHfJAK0McrkCtAffk7IJVMJYOK0360V7d2x8po5gwCGhCXPZ9AHbpSEjLMI +MPjq5Sr1cxM8G4/no7e4BOjZH3Z+DXpVhuertXyMp/q2rwfR8THVy0bXEOCS +ofamMLRiaEfXzXUEqCn7m5eH7u9qUFhnToCikR6lFvT4RFHl2CYC7J59FfQb +7Uy++ynBkgBZYk+H1YJxvgs98N5oRYDQNRX2pujMNoHTU//h87yveXUAXaWd +MJG6nQDdY83cy2g3l6R+650EcHs8XJCLTtTQ3ChgT4BtB+T0mtGTH9iaebsx +vsqQPI0OXi7stWcfAQoEfJapnZ/gbfWPJi12wvG0KI/lo3kxf12fHCCAg5ao +4gH0BqF9S48cIkBfye6YUPTOw2/oK9wIIGnyVCkXneq1/02TBwFSHholvEPf +eE7oCPYiwOT5dM1pdMjKbfa0Y5hfD1dnqV7A9YTdZz14ggCiIQ+pfPTytsmK +hFMEyFayrXZGWzxITbLyJcCiuHmrUHREhvC0sD8BPlMKenPQHmcIteWBBLi6 +zPv4O7SpCIgdCSaA8Amu+DQa9MyfrrpIgH3eS5NVL+L6Xuk02nGJAOnsOQYf +PVOSeT0qjABKAqPNzmjRBaR88ysEyB8a8QpFbw9VWCMQhflnMCeTi/bZ7Lqp +7BoBNL4vLXiHHrQwr/eKxfhvh23TaPvQ+if6NwkwdOvEjGoI1idZEYO+eAKc +/1KezA/593nbksWJtwlQ7yi16QA60Vzy0I4UAvDAYzIU3aInylxylwBL7n28 +k4sWeqga1JCO+f7c7r9m9CNNZ35oJgHiGgaEfqNHIqdPrssmwL0vwaVqlyZ4 +uygjqxbmEcCIY+Jhis7buG9TZQEBLvwdXHUQvVvm4MDZYgII7Sr+dBlt/1pp +jlVKAInTV27lob1fRFyaKSeAftipnS1ocdue8LLHBNj0+KjyDDr2la74qUps +j+nXsTwUr188O0+vJkCySdztNeiYgSnX37UEePuqxtkF3Wybt6X8OQE+sASM +wtFssydZZ14S4F2m5XQ+ersGJ4jTQICOddk1rWhtF9PGv40EaGCrRc+iI+K+ +xlS9IwC5PNFR4zL2j7m29XwrAUK+E6hr0UEfjkaYfyBA7HyruCtaXjjsiVQn +ATgaET0RaI3taYeaugiQcNa2vBD94VBHWGwP1kcz0vU2tOvnNXoOfQRoT1rh +PYde4T7N1fyK93u60mplGO6/S2Qbvn3D+dlEJa5Hux6915o3RIDXArsV3NAx +u1t2+IwQINr3xkwk+hor3wbGsZ4d+dJTjE56a1MvNoH1U3zDy3Z051Bb2dsp +Avw++bjkL/rY3u2at2YI8PTLulStcNwPin4RcZ4jwIrgvmhz9I7KJCfjBUSo +PBtz3gNt73mbPSNIhCcLHE5Fo4kCsxG1wkRYzKJ7lqIvuLyyuypGhNGdugc/ +optvGtxxkCDCocuG+wQjJnjHo8nO+tJE8Pqz3kEHrbJrLnlKhghKHSftLNDe +U7d31i4hgsi2x3ZeaP4ZSli0IhHexSrtjkFLzLYy9isTwfLtpf0P0aVRCfsJ +qkSQNZY91I22dEoREVAnwsJPOV7CVyZ4t2PmV71dQYR6aUdffbSl3cvKZC0i +UIcML21BN/SteO+tQ4QTdxffOIZecHjZITN9Inw8KJYRh44gvD2haEiE6H1K +jyrQZv72C74ZEyGikvf2M/pzUqvwIyIRCgr8BsQiJ3jl33ZcvEIhwrxzi4AR +el/Bn2BHOhE8xMzU/kMn2XbM01hEmHhWz/RBHzeVnpDkYnyaDu1KQHt35Rzs +BSK4bl/hW4X2iW/dXrqGCKcDx25/Rb/4lVgVsY4IxkHttZJX8fzuuOK+szkR +GBc6fxDQ9CMnZTgWRBh/OLXUFl2aWj4uvwX7b2Vg5osuixSy/mFFhIDjp72T +0XKvPYzqbIhQsq03pQ69Y0ou5LYtEU5qOLV8R/cViO85tYsIG4UWiMtGTfBS +0j0L/3MgAtu4BKho7Qt25432EqH4zYVTdujdwgPNixyJIC3vXRTwz5+NUvqd +iVCh7zN2F33zs/mPpy5E4JvGmbxEB72yLkk8jON9qcVrFL3d3XHujAcRuIaG +xQrRuN4kXK/a6UWENIekGeY/0xeK0I8RoWiDseletK9G3TPFk0QYVG2/fB69 +nTctOnmKCJ1iye8z0eLBhXUtvkRYxwpe1Yhu7JEVKvEnQnzvueMTaJdthpUx +Qdhfw6RnKtcw/3vUZ0+eJ8L9jR+WAXplxMLinSHYnouxtzM61HX8B+syETJK +UupD0aphImnLI4ig4EhalYeWl9r1UeAqEZLjewJb0A2LRa/1R2O8orK7Z9Cp +j3XqX8QQ4Y53LF/j+gRv1LTVPyeOCL1ut1PXoseaDYqj44lwOLd20WF0QN5a +11O3iRB7SNwrEv1AkXV7TwrGq969vRjdvFXHZt1dIvT9HVnbga7L0rpkeI8I +EsyrhQticH0I3MxVuE+ES+lWmtpoBb1HR+eyiXD1JOH6pph/3x++rPclD8en +zWSRF/rI2eY9bwqJEDyzxT8GTRAsVCwrIcK0xJWph2hfUb7lnTIiDLGGvXrQ +N6TiRCIeYXzK3IdFYid43JgW3qknRJAvlnI3QLNXyc44VRHhln3DDyv0+MYD +FKtaIuz4lHvkJLru9sgY5zkR5twKJuLRQlXPjFe/JEIqudW3Cl1stWhEqYEI +f5yXiQygEycbjEXf4nwzDroqdQPtTBqfeIfxfiquTrrx7+8BVtT+ViIYbCrO +2XHj3+eTa/40fyBC2Gwg+KEPJGuZ1XYSgSno1XwHbRW1WLrkExEeRQS5vkA3 +qqvvSu/F8W8sERxBi6l76Mb14/yfkkqQj8P9gevSU5cHsB4SQxhMdNB3ioXf +dyKk5K9q24MeCu9L9hrG+6V+8TmPdgbuaecxItgyXy67j34459Cy8xcR9O+8 +q2xE99bsLrScIsIR6QUuk2iPm3byZjNEUMvaKqt6E/dDoZ7TjDkiRN6vfcRH ++98v3mOygAQf2XtcD6JFFM036iwkQfcVNZXwf6/vNytdLkKC1c0LXhWgfdbU +ZCguIsF2xqKANvTbfb3LF0uS4NUIlTqPVvIuXyq2mARcndBhzVtYX3MPXhOQ +I8HFxQszzNE7dglfn5UnQVJbsrMnmlCRozy5lAQnCw5oXUdH6vqvHFMhAf+1 +VX85+s3w1dwhNRLk7HC8140+4Cn4dECDBHLnb7mLxON5S3Joe78mCVyCZsgG +aDcTV69ebRJUBATMW6H9N92Q6dYjgXWeYf1J9KPWq+QuA3w/X/BGAnqptffH +TmMSRDjOH6xGc2GbRCeRBE/Xr2R+Q9MMtld0UEjQo+YhvThhgvfxfuRkB50E +yxV7+8jo5p0aRZ0sEqzc5/d4FzrqncbURy4Jpo3W3AhA11VmP/nEJ8F4rsnx +NHTs216pXjMSBMivt3mFVinr6OlbTwKD8AuUcTSRXMQa2EgCmY0jSkqJeB5Z +GLJsaDMJpHwD5zlo+THvwNGtJJi35nxxRN9qjHSf+I8Esgs0Gy+hq3zmPs1s +J4FPIfFRLnphbXPbgl0kkEh0y2xBl8QRd4g6kKB5pPHmLPpBP3G39F4SDH3Y +E77iNtbjuLFBrD3wLEw5aD2anh86r3aABKKMeR939AUDlTjtQyS4tVjaOxqd +teRRubEb9g/M3cvQJ46GOTI8MR7zua6f0B7706PXeJPgyElTV+Ek3O/M626y +PE6CDV0L3FajC10MQ3f6kEDY8bunFdrpVeNW5zOYT1TBEyfRUbbGt738SGAW +utYvAX1qg/Nxv0B0RHFINZrQGfHucjAJnI9ZX/+G3mz7vCzuIgkq3VRTFyfj +/RYZ6d4LJYFIxpJiCvrrms7lD8JJULuT/twOXeI8klAXSQJ2XujHQPSNt+fu +tkaTIOWj+EQ6OmWomPI1hgSzcmXSDehBvRTL6TjMn8Dr+r/QgkLOo4sSSJC5 +M2mDSgqe73+pLFNNIkHq6w8ugKYHdTcY3SGBuLTp5QPoZFaThGkaCQ5afMgN +Qz8pkGzalkGCjrLbrQVoOJe1wjWLBFkXr/9tQ+taNcz45ZJg/ddy/b/o6OoI +h2sFmH/iMjtW3cH1K0R8Y2YxxnPF9Yub0Dz73ZWVpRif3RvLvNB/ZtMq3z8k +Qfu48Y9YtIa+wKaRChIskVmnWYFe8uDSHtEqElz4GmbXhw456TCvXov5mykU +I56K9XlNnA7jOQnqLmc3maD15nd2WL8kgdPDi7K26NNXHym7N5DgzuFo67Po +7T8+9l58S4Kp143X76DvSnVQ7zRjPshDxwv06FCjwpP3+PxHelaOorlRnf4d +7STolyt2U7yL81tq2fHpjyRYaPywlI1W8M6YUOghwb2JnyKO6GtdqQLkPhKo +xO2xvYT29daPs/5Kgm8b5zNy0X9sbR95DZLgA7txvgXtWLPh8NUf2P+klm1/ +0HFjy9LyR/H9GdK5K9MmePWqw25NP0mw6+IZcXN0Y1jnk5+TJPB2V3XxRN+M +FrqtMEMC1/CxZ9fRBefPidPnSBCiPKv3CN329ISg3QIyeKxhRPSiPXNmL/gt +JMMDTtYvsXQ8XxYZ30gRIcMypo2DMTpivQn12SIyvHQlPN+Grv6qsm9Ikgzj +AmYUX/QheSllORkyGBHDUlPQvG1au+lLyCBsKK74Ar2U52eyR5EMzFUVl0bQ +Ei70yAvKZBiyuPdX4R7uBzyOnM1RJYNt6/OTbHTJnzXTrepkqP6pPr4frVHZ +uGCBJhk+vM/2uIQO8yDH6mmTIaHI+0cumvws7OF/emRofOTh0YoOuDLl7mdA +htKVKWN/0AuuReVkGJNBVFnqpGbGBK8o9czZFiIZxJty583RBxIb2wWoZNAI +CA05gt7lnFtnxCCD9vYE+Vh0cR+Fb88mw6ULAymP0aOSQRtDeWQ8v7iR+tCN +Lfm9paZk2PBUt048E+u72edFA2vJ0GSy3I6Ant1NrlxqTob0WotxW/QVUrXw +BgsyGBQUXfZDd3Vkt/tswffrbde5iy46JsfLtCbDJwdC7Uv0Tu3FpM5tZPAJ +Wuc8jqapV5VI7yTD/vrrosr3J3gVUeb1fHsyyLuoZ/HQwpXV7sf3kCEr4rP1 +gfv/vk9vmZyxnwxLvHpnw9B1Doucu5zJoGqqml6InveSLVtyiAwLKFdt2tG+ +/ucTzN3IUOfLFxLIwvP/t3NyAZ5k4FgYluigjVRXKz3wJkNxq42r5b/rF+Ny +ho/j9S2lGsfRX+/9aNE+RYayAdsPt9BzAusi9viS4Xcr6VoVuk3p6fsb/tgf +Cwurb2gP/7MFTUFk6PRNlpHJxv3Fm7jlUhfIIHeL1ERFb75PVt1wiQzP2wVj +HNC65W73z4Vhvnkutg9GT2bsffXkChkiLu/Uuo+2Jhj7/4kiA8GxZ/gtOkd2 +qpoRQ4azeukPp9Gv5d/fPBmH8ZK7H6qeg68XGV5YEk8G360/7NahtSp2/f11 +mwzvl3oYu6MHl7LDyXfIsCreUPga2mY2L/tYGhlYMgYfy9HHbNv2FmeQ4fK9 +Qw960EIab9Mms8gwGvslWiwXzxfbyv3peWRIkrvjbYz+Ol3w/XQhGX5uuv3f +drTxsvbBxyWYHyc7qGfRfg2WZwXKyXDvha1qKppKMLmz9jEZth6XF3qJ3uuS +YB9aSYapHNnhMbRWQnHGm2oyDGZsaVfKw/Oe6I1QhWdkoN9seM5Dp/U4/rWr +J0N/YUTZAXSJJ13szmuMh35kVjiaOU++O9hIhu3Ed8lFaG6PTyuxmQxSf23j +OtBTJzTjz7wnw3zN8mjB/AneJnWbyZp2vF6qc0UPXb9Wv1+6iwyykkfDt6Jr +d9e67Owhw7aJBREn0Zb9ZoGpfWRoTn8bmYjeuOe50ehXMryy7b9eix6y8fRi +f8f4MdgJQ/+8Y6f5pWEytAW0pi0pmODpS6aVtI6RwWJ/UQETHbr4eJnWBBms +5For96FfLfpidXQa51sN620IWrpQKaBqlgwKOf2fcwv+7S8NzOT+kuGXYPN0 +K1pewDRxvyAFdKZEZObRqjSfiEJhCsQ/8dNbVYjzjTEiL7yIAkmRrLUW6NOf +6wi2khQoTeQ4HkXPK6r3ZyymwO7l58/dRDdVLDWek6PAyBq5tKdorzeNi60U +KaBo1l8/gK5Z53rxrjIFHP+bH1tchPVLTyhmRpUCuWkOy2jouoAK1lYNCvh6 +L1y/G928t8wnTZMCtt9Hjp1HNw3Ib57TpoD6Os27Wehk5lipjT4Fsh8kvH+H +Vjzn8SjLkAJex/ZIzqJ3zWTZChMoEJvvsmZlMY5n26vQ3WQKDNwp8zVH1+wb +3lZKo8B7f+vSI+j2AUKZHIsChadJk7Ho7icPity5FPB4YU99gu5bk7ThBZ8C +eUkNPl/QXR8ljq9aS4ESyqXHUiW4v5lVYQZtoEDY4zAhSsm/36sbjv20iQJG +7h8226NZN+9GcLZQ4MApz7hzaPlV+5fHW1Ogc+mWr5no7yyz9bPbKLDprA+t +CV122m2R3U4KiHz6fuk3Wixg1umhPQWCvTO6NB5gvg/L7lLdS4FUt3zKBrSy +T+PAWUcKBAkKXfFEH/tgK9t9gALvDiUPxqD7Gp6/M3WlwLP3lzZUoF9pmZmk +uVPgdODje/3ohOxBbXEvCrTFsyWkSvF+8PGBxzGMz27RI2T03BP253cnKSA/ +p/beDv1KST+DcYYCYtkBcA79iV23KMmPAutSjbMy0WnaRGHRIAowlVarNKFp +HyNueZyngD/3aOhvdJLr3KvWEAqMW4jNaZTh/q07MY4XRoEqn0GvDejfe64J +ZFyhQP2U8jdPdN7iv0JLoinQ8zdmfyw6ctmC1LMxFKio29dVgV5QXto1EEeB +ycDT9l/QG1ZvLLZJoIDfwZ5OqfIJ3v6iFp2nSZg/2TF7KOhbd32pRqkUOB9y +s88eLbZrb8+tdAq8NP5xOBjdbJKiK36fAt1tERP30dujHCVP5VDgcpl/4Dt0 +/Xht2EA+BdpFKxfPon/XD2bsKKbA6O8tSSsfTvAybv90fFFKgchaY9JG9M15 +gYfMRxRgJe957oX2O0HLzXpCgcaqT3vi0OKpxaBeTQHC3rzflej1hETPqDoc +r9y31wfQ+1/KsUXqMV5f15BlHuF4aFPSTr/GfOSKttDQ5Qt1ckYaKWAzuMxn +D1pQX9zGuZkCmiuC1C7+u+6y4EbHewpcUGbW5qCDb60+bd1BgcRFZp6t6Ig7 +2TMvuihgqpu0bB6teOiesmkvBfbct6xf9RjXu8+c9+X9FCh6seXMZnTwokgS ++RvGq+yO0XG07udKo5whCjzK39gXj14bMP5cd5QC5QNm8TVon7F1gqk/cXyu +RW0fQrdt725Xn6LAxBBpiXzFBM+urds6foYC13T0mljokruursrzFLA+4x3t +iB6cvr0iVoAKYuoytpfRu+Xv+CgIU8HFXFCtEE2EGM9rYlSwIpj3t1f8Ow/c +EpGXpAJI9ecKPsH1QruVc20xFULkW3310aduH1RQWEKFvLOqFtbo6izv8BhF +KsT5l6qdRrvVKqcpqWD7Vpljyej4g/57bqlR4bve+LMX6EmVurLlK6hgAJFJ +Y2jtYzLFKVpUWPoy+IxyJc4/qUArHV0q6Ag27uCjB4OZV7JWU0FK1Zt+6J9D +9ngQjanQs+WwylW0U6PcSCkRr7c8nC9F1yielAUqPl+vY383WmllbsszBhV6 +cx0bxJ5O8BKffmRt5VDh99GHZSbom42rzD4AFTQPHE7fgc42zBzeb0YF8Yqj +sQFo0+pw1o/1VDhS0HzpHlo69Ke+zyaM15kIv0a04pn5Rwu3UOHXluTj0+jm +uLdjV6ypkHJQylOjCs83k1deqG6nQvPvJtcN6N3p9maZO6lA5o67HEG3vd61 +n+5AheVuhw/dQOtcz9Z8tpcKOx5y3SrRkyY+IdudqHDK0c1rAO3f9jHyy0Eq +rI3/5SNTjfuDJgHOycNU6I9/H0RHP3ATDRfzpEJJgsKVvejJednAm95U+NaS +kxCC1ho0UzY8QYUXZ+/k5KFDrlVvqzxFhYpXP5+2oeW986k2Z6lQM3P7/YKa +CZ6BIPHRQAAVHvLujeii2bUuX84GU+HzO0lxK/S1taeKl4RQ4cTwa+1T6G61 +i3qZl6nQ+uz72mS01FixKf8KFUZiDxx8gf7ooifwIQr7G8u9PIaeJwo7e8VQ +YfXc0Xzl2gneVil3D/GbVFgsKNrOR99+HKyWmkAFTteUkCv6sswRb24yxvfF +OmIUuvSTtfuHVCpE/Pm5rxytKmUlffwejk/u3+he9FBAxDbZLCpQVVyfi9fh +ecjIeE1OLhXsj5P+EtEpS2zfbyqkwqbfdnQ79FeivtxgCRXMuj4fPYfeFP/q +Z0g5Fc7bv8y/j1Z03++rW4HxzZIbf4cWrFuc9fwpFfxFy8l/0MNvpoMO1VJB +8e7TU1rPcH9UxReQeEEFlQq9pxbo5g/SOtmvqGB6eVz8+LN/v28c/GtLIxWG +zFRtE9C9N+sO/XxHhSLN9Lu1aIPx3xdi32N/90ZP/kBb1ppasDuoME3qMVd8 +PsFbEVhb1tNFhfHWyNtc9LlbaW8u9lKhMTBl6gC69bp4hNEXHA93Resr6LgZ +hYmWb1S48G4o5wG6ye6HkN8PKugPrZLuRrtuK36sPYYefeop9gL3Y+FR6o2/ +8PmUnr4zQR8pzNA/PU2F+URN5k70qL/6J60/VCh7+C0lEC1eqMRp/EuFj+lL +pDPRBsvLzXwX0iA8PvlME9o5VndSV5QGG99Ff59BH5sNsWoVp0FX8KCDZv0E +7w5hgW2wNA3iB+82bULXGxaKkORocIxTZ34M3TBUt7dXgQYSDzZVx6O5x/Y6 +RynTwDaSyqtFmzWlyq9Ro8GM4MXHP9BP1Ms8fmnQoG89h6v4Es9rQVVH07Ro +0HNj51MuenDlF82dujSgGXeuO4im0s39JQ1oQDKrbbiCfrVQ9kKlMQ0iZBV2 +lqKZr/fTj5No8LDxZX83+lyfY4w+Dd//8NuxRa8mePaZjKRuJg1cxD1FiOhj +5xdtj+XS4OS03c1d6HU90w8sTWlwqSLP5By6iW1YJ7KOBm4x7i/uo88sexXw +xJwGhuVRTs1oa7HZrz6baUBx1BCcQ0smfJolWtHg+EvFlFWvJ3ifT99+9MOG +Bk0GJ8ws0W6b9upn7KDB8qfcbyfQzyvXr3W2p4FR1ZHI22ix+DNSK/fSoP6Q +JPM5ujZ9xblPjjQwH5f9MoqGoj1pCQdpcPZ64DXlhgmeS4LdSfvDNDgabrfW +FL3MnDW5zBP7K5807YoeSNfS7PSmwYDjlpxodFMhZz7+BA2KSw4deITW9cq6 +uPs0DerWjWj0o8u/xzzR8KOBo2X3R6k3WA/ZmmmfA2kQJcpJoKLvBJ9kpZ+n +wUiW8J49aOZImf/hSzQ44cPUDEGHFMocNQmnQW1qx7c89D6ZFIXJSBpouX0r ++PDm3/dNrh18dA3zY5GTn2Ajzu9KqUPnbtCgsXiTxWp0Zg1ZZVM8DUSyk1Rt +Gv/NJ+MzS5JooK7nOOKLDiasCuu8QwNh5+iau43/1h/W5rR0Gjy+SYhvQCuZ +x1UcuU8DX2HuiSn0sJhzNyuXBvc/lVprvMX94J7aAtFCGrxzTCGYv/33/fRu +SnMJDaZfzch5o6s8uw4ll9Pg9baqyZto74g+S88KGvTTf3dWo0vkVfo5VTQI +yb9dO4QefXXXQKqOBrtmivMUmnC9C8tZ9fEFDaws2Ylc9DTFrjH7NQ3IA8SI +g+jmoiYD/7c0sF54MyAS/fYPi2XVQoPd7V7Hy9A3ZSpmNT/QIPZeuVsvumrK +32OqkwaaGccOSLzD/WHtveiX3ThfFJP2k9EbEvYcTuqjgYkhZ58DesudlxPH +B3A8dCz2X0CflpAnWQzRwA5eO+eiA+X3amqO0uBVYeXhNnSo0Pu6mZ80iHyk +fUygGfezJklq76ZwfsT89dNHx4z06mTN0uC876aw/9C5GXX95//SQCdTPN63 ++d/65m27dyEdJndxcu6il/dLn2WJ0sGr/nNVA7rcuWr7Ugk6mJDnP0yhV/QV +9f2UpsPxd2E/NVpwffkjpfNWjg46fVcWb0TP/jehlqtIh7pkUaOj6OuxUS/C +VegguOGXZTy6JVBK3305HU7IbfeuRU+8D+dtXkmHObbhjWF09yGWuJE2HeN7 +unJpK66HMtzQxfp0cElmfwd0TPbjJ2OGdPhmfVzJFR1C7M1sJtDh5X9aG6LR +FrHvNpVS6KDYbX76EXqisywlnkGHGNKXnH70PZnHuYEcOpiG/u6Xfo/xthQ+ +epBPB2WNYHU6uqGkfGjzWjr4Ei7Y7UM7+QirUczpIDbzNy4UvbRBSkhtMx0O +l4y1F6L9pmeTha3oEJBit/wjWnzt9OSwDR2SZjhOIm243i9avfDDDjp8nbmR +ZYwezHxUV21Phwuf3KZ2oJviWvi5e+lA7C8zC0K7bkw8dsuJDos2BFy7jzbh +8faEuNDByazySzM6T7hH4IQbHR4onmbNoy3pWfZOR+hwbDY7SucDrh9nXnj+ +d4wOlsb2Q1vRGqf3sdb40OHxcPCG02i9ofgnJF86GJ/QTb+DLopJ/aMVQIcd +guvFXqPn1iWPKwbTYexN9+FJ9LrWh8mLQuhwcdnkW/V2XE/11MTnLtPh74qL +THN06Orh1WNX6CCice2uN/pTm63ol2g6mFurLYlHV5DOxXfE0mFwYuW5WnTN +prjvb2/RwX793Ylh9AJu9a/ntzE/glNdlTomeBf09Esr79AhdkCjl48+wZ+i +lKXToTVfxf4w+k3Vfx4F97F/alFt19D1wy77snIxHgcv2lagmxT3Lk4vpIN2 +w0zbV7TWjf0+KQ/o0BI+ZC/bOcHraYmLT3yI+fbZ/jMT/crU2PfWEzoESVm4 +OaFT91osjaumg9yG8qlwdGS+ikfsM5wfjennH6Bx9AJiXtJBpl9esQdtZeq1 +JeYNvr5KIEP84wTP9oVFe8w7Onjc9eCS0VHSAStuvKcD95Vdq8PHf78XTl51 +swN97MWRi2jf3mv98Z/oMN3+QCof7SRZvz/pMx2ec3Sy29Hl5Pn41K902Na+ +dItQF56HNthdy/hOhwPDl34aosWYEua5I3RIeXD2pi26XIz+sPgnHQ4d/bkm +EK30TOL7oyk6pO75PpKJjrmU11YzSwfHcufE5n/teW0Nfv2XDgOV+7fMo30L +FIZbFzLAJ79XUPcTnh+C9BV7RBkw9aK/1Aptr1X257sEA4Q3uHmdQU8PfU+e +WszA8/wJg7voDeQfwkLy+H53ocEG9MC+r7qySgzIjFTMnEabfhOSUFdlwIBs +ttvKbjyPmh7JMtRggKjxc4IF+tbkf1IcLQYs0Xb5fRwdcbvdcLMuA3ZSwqtv +o806jKR3GzAg6BYt8gV6q8WZHE8TBpjHHNzzEz2VNSgdRGZAr6MaQa0H61lN +uvF1OgNU1uwUXo/22/VRJoPNAGvvZZ1H0DfNSgoeAwPSjJ2Kb6LHXRwU3pkx +IKqMdLUG3fBgjv5tAwPqLUM9h9Fx+lVqCzYz4Imhy1alXjy/1bVUL7XC57/+ +mmSK5ic6rjbZxgD96nJlNzQ0xNiY72SAyJSxYAz69tmbPEcHBgh6Gv54ghbu +ixs6u48BEq6F7d/QXexKuzhnBvzRrqpf8hnPi+/o4cWHGMDs2/mYg84RNA5s +cmeAdM/pgoNoWf0G2qgXA6j2qzKvomXK+PnSJxgQfW1n6kN05KriH4anGWD2 +Ymly/7/2pv77sdmPAa30vUmL+7C+VJvneQQxQECTlMJAh6pVUSMvMMC9LjLN +Eb2lYCCgIJQBMvtPZYejFajfIloiGBBI+VHyAF1wcGTv7yi8n/9QVQ/abInO +lFos5oP/ybcS/XiekHhkteYWA9Ydj+iloGeo7UcO3WaAzm3C5B70/kvZNpF3 +GEDg7JMMRXdP7Zt7kM6Apgi1VUX9/37/V/Nw930GLHx3ALrQqRuWJy7KY8Bp +c85usS+4fu32iyEVMeAFIdmPiD495Gmzu5QBTi+jku3RTw3U2y49YsCjbXLP +LqAj9pWuKKlkQJeMxkgeWrn1IOFzDQM02Y+UO9Cl3TtFZV8wwGXp13XCXyd4 +RgPld3ivMd69SSeM0UO7H4h4vmXA7s5v93aiv1adMbndgvmxturjOXROAnlF +4wcGpO/WV8hBR/pJfxDoYoD3gZVb2tD7Rak7yL0MUE7IvCw4gPu/b+8TD35h +QJ5pdb0B+m+HRvatQQb4x7pJ2qJvJHHONQ4zgNaRtjUQ3Sdpt0LkJz6PpXfs +fXTnn7sX2VMMcDN5092C/mi7qeToLAN0qx4bLPiG/ZX1yb7/lwEFa7hn9NF5 +q3e69y1kwu9fW1/ZoEfKlk2qiTEhQ3FS3R/d/XZo/Q5JJjC/GZ7IQBtd/70/ +WoYJt7OmG96hG6ie69/IM8Exebv+PFpn+vSEhDITJkQ3hOgO4nzU2uhursaE +lSteD1ijNaXFcy+uYALb8Mums+j2pQPldauY8MItOj8dfaJQ9qqIPhOOaLQo +N6GP2hcR1hsxQe7S/eA/6PmYufgQIhPIXxXHtb9P8N5NqbyrpzIh+MzS/VZo +5RXMZikWE0YuZDefQTMqQpKseEyw2vjBPA3ddJ5Mj1nDBDeRW08b0cs5h291 +rGfCsj/jrFn01bJd9SsssD9uPaWrhiZ4Sa0mtS5bmRBw4wB9KzrCd1lYng0T +JJ8GlZ9GdyZvUP+9gwl7dKi8u2jRTV/8TB2YsEUysO7N0L/PT1beD9vHBJd8 +x60zaJljq1PfOzMh0rarU+sH5hfD2FXTlQkSMHZ4C7pT3H7O04MJPlnxc6fQ +GrrdDo+98f4fu6+mojM/f7sscZIJygoVum/Qm66lX9x1hgn7rpGrfqM9ktdb +Zfoz4Vm82W6tYWzPf3pg5hwTGj2H/1iiyXkDlhYhTJDeQkw8hS54vO5cYhgT +pHxlTFPRdFP+hbFIJljSLw00oFU+i+xYe50JcbXxV3+jK23qpuPiMH7Omzha +I3j+t8lxGUlgQvPO698t0QtyfqSvTWGCQt/p+FPoNnZhSXwaE66s+7MlFb23 +2/D6r0wmZFUpi7xB50eGrdmci+Nz813F73/tWc4/TStkQs9i/dNao//+PlMg +I1DKhHknNfoW9Gr198b2j5iQ15E9fQod4RmvXlrJBPGSjoep6KB1hG75WiaI +UdMD34z++/dbNV7eL5hgmCizcQbtF36hufE1E3aYKCmsGsPzUvxdMZMmbM+o +oncL2umUlXRkK8a7Q7DwNJoeW9Y/2s6EA6e+nL+LLjkmdcX6ExNcNx6ya0T/ +uOUrXvyZCZyrl0mz6Kw06g6lASa0XdksrT2O5y3WYR/fIcz3S7nft6KbxDce +7hllgseT/Jdn0NwPgoT1E0ywPm6Tk4YW9Kx9kf0b7/8jNvot+sndpxSFeSas +c/U98wfddUjn+FlBFqQaCR7Q+Ynn0UztkC8iLHA/q/efNVrQdcRjqwQLJm6M +m55FB5Tl6z1czAK/GgfKPXRQbkKptjwLKk0P679Dfz/2eVm0Egt2b1+2ch69 +gF/43wI1FsSYeqjq/fr3/2Nx9nqsYAFto5OyDbpApID/cRULTufNKfmj32bw +py30WWBaylyWifa9rxr82IgF11KXabSgsy4e7TciseBJaZLOggl8/icnVJNp +LNCk1xNWoy/0bdeTZ7MgyvkGdzs64bqZZAiwIClYwjIQ7el/pPaPGQv2tWnu +zUKv3C2xzducBR6pPcfeo/sm1j4c2MwCDYO1YYKTeF3NanqPNQueFlimGaIv +FDtItm3H677zVTvQqhnxU1vtWOD10qb3HNpmiltev4cFrD4roVz02pzjNmud +WOAoPqnbjnbv8aqrdGFBQiB/q/DUBO9gkZMMx50F5uHk0yZT/34/yp9Y7sUC +Z683aXZoWcWfBvQTLLjuJdd6AZ1BGPtbcpoFwk1zogVoI6H796n+LJBtvcr+ +OPXv73lWJg/OsaDnacNRsWms11eWRtBDWPD2Q1E2CR1CN6wtD2OB3D6zwd3o +isiaFs5VFtDjz+qForUoiyufXmeBy5u9h4vRG15xg9fdZMEN7nBuN1p76fmV +rxJZUGaoPSXxG8ezfckt6zsseNMjxqehi/pVhz+ks2B1Ykz4fnSVRtOy/Vks +uJL+pjMcLXnWWet7HsbDtMio7Pe/3w8VEztezALJQrNzfejrN4br/paxoI8T +2L54ZoK34/SGfZcrWGCh40pmoY/Ubni/tJoFXwr/Rh5Ai+au0Lv7jAUbdU1H +r6KdTwnbkl5h/14QrB+jv57Q3lfVyILP7Q0lA2hd4QfrrVswH1OUl8vPTvB+ +hX4T//yBBSVOciE8tG7IaOaxLhZ0OJf9ckWvPD+vI/oZ8/O7tFMMepn8uqCb +X1nQyVjS+hTd3fG7zGiIBdyYuo0/0AnhFm+qR1kQuFavSunPBO/PlyNVOydY +UBTGYpuh5R/ERY/+ZkFe3lypJzr1/W/TkHkWdE960m+hh8k1jRoL2fDrTlR5 +HVr82WpOuSgbKueceePolAjHEBtJNvRtGKxTm5vgTaYmFozIsKG3Xt3KHB2v +J/PosgIbGC9Euo7N/fu+2fdUXRU2jITcdk/6d93S0b1uORu+bBn8+xINJ+4r +OGtie/u/XptCD2hNJQjpskFBLNZAcx733+WnRO4asKE8+HedJXqs+MCWdQQ2 +LFu+2Ok0ujJuzGeAwoZ0lbaFaej2n5vPXWayweCJTdpb9DHXXA9jHhvarM5v +mkM/vm/Oal7Dhm1Krj91/+J+/9jWb6c2sMF7x8JEG3Rl9JSPxmbsv63VpoC/ +/84v3oPPrNgg72Azex/9cP0k58h2NmzOlsx5jxZ9VHxU2Y4NExGnHRcumOSp +bui/XL2HDe/XJy4zRl+YLb3g4cSGoOU+rbvQ1CknJ5VDbDDfIXbtArrjiNqq +Z+5skGBvsSlAm6UpvjjmzYZ7izcv7ULXfw7eqnmSDcnKgh8XCUzyjgTHP2w6 +w4bh2x53KWiDX1fFzwWwYfW3qCP70C6ZcRzyeTZcY3lyw9GepAGbL5fYcOfj +wsVl6M8rC7bGRbBBS9Gqtw/drWJA2BzNBo3VtqUygpO84behkwI32ODjqHiV +jTYQXZj8IJ4NZcJX3FzQlREvTDyS2eC+4+nGa2iF9UvSVqWxIScle3Ul2ltV +QaArkw2v9W0WD6EbJIRMY3PZ8J1WPLF04STPX13hkFURG2Jk3natQccePXtC +sowNo7Pp9Z7odhNv1+eP2dAMzLJbaI0w3bXnq9hgox2S+Qyt+qpFZM0zNlB+ +Xk38if61NjdX4BWO77DtdXWhSd66PYO8p41skNnbHrEJ7Rr26EFgCxtORShf +PokusbBbuqadDb8rFULvoBOM/uwW/sSGP9w3l9+gW981Rzz/zIbzW9ZFzqL7 +B1XSwwbY4MI8E6sjPMlrMxC6Z/WDDTfWeST/h548VHd16Tgb8h+q5/ij28/E +OnVNssG258rj++hgi2yNtFk2vJuvePMeva6NU+exgAN/7LL7FopM8v5q+m+j +C3PAC+z+GKO3r01vEBTnwL2fzxXt0b7OQ4QGaQ74PJ4khaDXlQb731zCgar+ +vv+K0NcC0h4cVOKAZlH0iW60mHxIO0WNA1FHFsZLik7yklv3DAit5ICoI7mG +jp6hOPU0a3Pg3DvtESd0d+HL2rurOZC7qEP1KprV9+r6SRMOCFhabX6MDnNO +tNpI4YDnwKWAb+iQvhO/1ZgcIK44X6IgNsmTVA8PH+dyYC2sGeGj9/ctlX6+ +hgOqETX6HmiylOWZxA0cGLdedOgmuvT8gZbjmznwpVU2sw4dZHFD1dKaAzf2 +d/0YRyu5qljp2HLgJNeTrL5okmc9rXlUwJ4DbQU1ZzehZ1YMBXXu5cABsU8v +TqIn1TIDSp05kHWxQin1n8nX3a67csDolKNrI1rjcd+6o54cKF/VUPEHnanR +uNj6GAfqW+YV9MQneX1NEc8Ip/D+TROe29DcXTs85Pw4AE6FrwLR9tZOQr+C +OLC9mWaQg66zHbzUehGf7/C5iHb0Xo2Vf8vCOGDmHfNTRGKSN+S9xinxKgdW +Eb3sSGgz7Qtl52I4MPBzSd0etPeylX8P3eKAkoA/KeyfTbdQrJI4wEgpuFOK +rr691p5xlwPdGrmK/ei6DZxjKzM5IFh3LExWEsdjt8dZyVwO7O1YKMxFL5eV +9ZkqxHzIsA9wRffccXD6XMqBn6f952PQKi5hpo2PObDkhpt/NfpxVYtcRRUH +ejdqLRxFX1P3bsl6hu5Mu6QqNcnTX3AzNP4VBzbE/pIzR3dOnSeGv+WAco3U +7eNoVrrHa79WDjzLGjdMQUtWhtl5dXCAe+vOkwb0ozmlj07dHFjxQcNmFu1J +tLDe2c8BoTzX7zrSGJ81ex5aDmJ+uAaet0GPq11WWjvCgR1WzisD0SpVYq7s +XxywyVWsykbHm8nmkX9zwK/hulM7urnq46DhPAdKp3sXiS6exP1huoruQi7I ++cznk9AzZ9J5mmJcCIgZsN+L3mu5dJe6FBd8E5PFw9GbTU1cVeW4YNuu97AM +XVW9+ojKUi5YXgv0+IK+tm2Nm7IqFzwUM7SWyGC9uZy3W3kFF87dT/rIQ1cJ +Zq9X0ebCwwSXODc029tbR3U1FxJpAjvi0Fm3mPPLTbgwVu2qXIe23Mp7tZLC +Bdnwux/H0e5Hy6/qMLlQ9zE/VV0W25/otzTkcSFtQaSHBdq6c3Yh2YwLNgCs +U+g8NjWfZc6FX1+rxNPQu+hvtptZcuEvX+lj07/3CwlMbP6PC1FxUPD33/u/ +Coft2MGFAwx2qIEcxpuupOrkwIU2NwnnnWjGLu+7R/ZzIcsvx/QCWvSppa7f +QS4Mlq3SLETLTn9NDXPjwoNDXiLdaMMYn2XxXtj/D1eHJJdM8laZscKyTnCB +Z3OxhYE2KHOdenyGC2GrrJ8eQNtX8B0aA7hgcWM8Nxo9bTD7+PN57M+0S3Il +euvIW+XpUC7ERhZf/4FmCAh4SUVyQSy7LUxFHuuzR3W15nUu1NxourAe/W67 +jRzrJhcab985dwwd3j9s/99tLoRKWZxLRh/c3nDHLZULDYavzjeg100bfr2Q +gfHZpHV5Fp1qbK6TkoPPW2QTrauA9eiQnVNFIRf2FjgkbkN3aiYldpRyQTSK +lxWEnvhp3fr7MReot2ce5aKf+uVKKFdzYW7VlcZOdPPxMS7jORdOe899WaQ4 +yZtKtDmy6zXGp3HtAhr6zxv5JN8mLlwOc1F1Qmd9d2+4/Z4LR8edWVfRzNFb +s9WdmJ+WXIcKdGV/u863Hi44/hgL/I4e7Dnw3+KvXFiwLDBDaSm2J+PrRx3i +Qr/m0Lu1aOec7Rm7x7hwxIYkcBTtIk5qvjjJBZ3f2wlJ6PygzX/zZ7lQvdvW +6TU6OqhX/+MCHqS+Jd+cQe+OMLJdJMKDfYkjTTpKk7wmqkcwVYIHM7Ih0tvQ +lWpdBU4yPGjwmbcIQi/7Xd4brcCDCfX/InLRm8P58jUqPFC2udDUiVbKy1k/ +oc4D7v4byuLKk7xac95ZnVU80Im95EhDL7cxKd6lzwMx2JXnhPbtqhiJMOZh +vRJfEIWOXqBrWEPmweCKW9ZP0F7999xnGDzo/SVxbwi9vdEvn8Djgc8RhwUq +KlifpL5OHzLjwe2eK3br0a4C6mZ3zHmQcf1O2TG0hJZT9EdLHhi031BJQedN +/PyiZMOD2D+efm/QyRKSvG07eSC3Ua//D1peevBW1G4e7JKptdRfhuNV8nKu +0ZEHr+PXPLRFNzQNO8kcwv5x7uqfR+dwrr7d6sEDc95gfAF6Rf/omqijPLg1 +KifXjT75YtOjZh8ezCWqh0qpTvLu/fnEVPLjgekNGWEWemvq9yf253iwWf9L +kAtadjJrU0oID4zuJC2MQYuR93cNhPOgZitcrEYnlJn7mETz4FNArdQY+uBE +svKpGzhegSaxy9Vw/u7LqKpK4IFiSqCmBboxNPGo1B0e2BiXFZxCf5GpNNh5 +jwcLfd6bpaNvplsM383mAaO+80Mz+onsudKfBTy4d+yFl+ByHM9VKZdNS3mw +vjZB0gTt1jBwMOoxjr/4rkwH9DXhmM2fq3D8r81vvIyufDfApjznASX38nAp +WsZWgxryGsc3U+D6F7RP9RlGZxMPwlr2cuXVJ/F8yVxPaOPBQb+MQT7a2+vW +nosfeTDysyPOE93t2hXU1csD/fPTmxLQFU9M86kDPDgX8HfBS3TxvOj3Kz94 +YE8ZK51GH6lzNxkc54Hv+Ouj2hqTvNDqwsC109g/0RiCDbqgRPlT8hy2V2U+ +HohWeeiZ6i8A0O39rTgXXXk05ZOREMB6l+O+H9EmAmuTu0QA3o39WCuxAueb +y8lvEYsAwnb/J8dAT5TvLOVJAvydu9tzAN0vLSk9Jg1Qo/6l8BraLThnMEUW +oEtO/lIV+sf6fZbb5AE0dUz2jaLNwswYYksBFLOY7OUrJ3l+4T73HyoDmI+R +VCzQ8VFqdz1VAXauU509ha75/p+2ljqA4ezPrnT05BjL+MMKAJ89D2tb0AXC +k08itACMqr1zF2pivbia0mamA/DpuEo8AR0kuf/UrB4+37OCy3vQnT9tUgoM +AErF2H7haKHGW/+5GgPMhZQcfYjuNbENX0nE/t5Y6fYNvTw3fUsHGeDaxYCD +S7UwHqPZN6/RAOTSGp3XouOTQz0smQCvzJYcPIqWPLn7pRhun64WbjicjG4n +bsyv5mG8TL2836BjEjw0/E2xvTXhvnPoyUtDSqy1AGnCCZdWr8Lxbu67ObUe +oO9DUtxO9JH9PmlFGwFaZeKyLqIDVj5neW8GkJw9X1WMfiQ9sctkK8CObwc7 +PqNV9TSERqwBLhjwpmS1J3k2vq60nG0ANgqSioCuUZv45b4DIPJXA80Dfd+g +h21kB8BcFmIfj37euGXxiAPAunZacD1anrPfLW8vQFZQV8402jKbYePtCFDk +7NuprYP9c56qIx8AsG2WldqGjnzwqGbKBaBN/TacQwdMZW5+eBggM07rZD46 +LPTzPn8PHL+olLxP6OHOiwJmXgDJ9so/pHQnefS9ZQaLjgEkbLhkwEbLxMR9 +bjgBsP3euIcreo3YRu3rpwDor7cV3UBPbhj6ZecLIL+o8E8dOvFn8hZNf3z+ +bPENE+i72WHU74H4/BIOMZp6WM90GjIKgwHqjmd+tULLqIVk+F5Ec36yAtCn +LTsp60IBthXTonPQ0SFDljLh2J6Rz49OtFBq+6/2KwCxM0UbJfQxP4Ke66RF +YbzdhjMZ6H7Jtq9e1wHEWrWkXdAVtNUU7g2ALZd2HItBNyzoWyxxC2B326WP +NWgfLy2ftgSAVIUy859o9i1pj7QkgMPRX0pXrMbnj6sZO3YHQDhVbvVWdFK0 +y0KzNJxfcZwkP7RHqeqdJRkAMc8OKmWjubyFbz/fB/D3vxrdgd6Fx+CiHAAF ++Yey4gZ4/5jR9+fzMf/a+qLo6KJF7HzbIgAd9cVLD6Lz9dco6z8AuMdkJl5H +Mw/qysyVAUycPaBbgw4mScc0PgJQZ18rHkc/l1p6P/UJQMmz6rUrDPE8GuS8 +5VQVwNejE21b0Ce1VM9Z1gJMR+t5+qH9rzis03oOcPb0XrFstLinRdxMPYDs +mZupHejzRyV8377G/g28XyNuhPXB9vHwvUYAoaXKX+jokZ7gsYB3APU7dl8+ +iO7uCw7e2QpQLnCPFIOOp3enEz/g+DlPdtWg91SX2Ul2AlS1mof/ROscIyd9 +6QJQzUzhrjTG9ZR/9PjTHoBTRIGfW9FFhLiO+D6AvGrnTH90hvWLJp+vAC35 +jU456OOl2nbbBgHWbjVd+REdcrH5GPEH5vt4ea+ECdaf7xPqMqOYTz+YaUx0 +07Ic++FxbO9aldshdP0OjdWvJ7D+sqypN9DcH56Xs6YBTGmDgs/QWoaVZ8Nm +cbw7Qpsm0POnyILu8xjvM+S7WgSsZ7xRJUsBPpi5fT39H5owqlhlLMSHQMHU +/4LQU+Kv5mRF+UCNcjXOR3srk179WsSHN54s6W701xxPwzZJPrSMKI5KEyd5 +nw7eXfFoMR9KD8w1c9BZI1P3kuT4MK078sgNLf07tPq8Ah8KLw+l30LnQZDX +YSU+rPo8cb0evT1CoNBqGR9OBEtc/I2mFhqE0JfzQbHG8IwuaZK3IEJnTH0F +H3Sn7L1t0d1CisOiWny45R3ndgHdJabqP6rNB8vLnw8Vo43iHFI/6PHBNobl +2oeefjTvUG3AB/1vye5LyFi/gzSzso35kN6meMwUDaKjETeIfPhTdvOsF1rF +O0QkmMKHy72GoUno4QmZJUfofKhOb4x7g170OrvInsWHFXvOZc2jtfjnvptz ++dDssK7KkILnu6TiBzQ+H+RnlDvs0S1mh5S1zfiwN2R+8jI662aVjMJ6Pmzc +80vhIVpD5kuC0EY+QPMsbRAtsmK68pcFH0bZCg7K1Ene+//UTvdv4QNvBM5v +QAewTr9otebDBPjnnURPHSflPt/GB4uQxq40tOU999UPd/CBsowi04redW4z +N8eOD9Fbss2Eabhe1059Td6NPsPwJaPbaVd1Y/bx4cbEhxJHtEEmd8FlJz7U +L7nyKwqtPavlGXCQDzYGOylVaK7coeMnXPnQdZ1+agzt3m28xN2dD6fTDCs1 +6Hheck7c4HSED1VFdPGt6NCsDwr2R/lwZOkuW3+00DORMzYnMD6rotJz0Cvf +bfTZfIoP68k9Mx/RbjP1Uut9+VB+a72VFGOSt987i8X35wO/oDaTjf51Sl6Q +HcSHFw12om5oV3vdfbTz2N4G8YO30E2eUjtJIXzYdfzti3q0hvy3b8aX+eCd +nW88g1Yo6l5iGMGHqPX3b+gxcXxqld/rX+XDvZsVQjvRSg1lJL1rfJCZ/340 +BB2644uebiwfzF+QvjxA283WlOncxHj/F2P3FR1gf+azTgIfUn4uaVZkTfIu +6Bqn6ybxYUoge8s6dNBSEWH9O3xwatnXcBxdMLpqbnUaHypriVvvojPPFV0x +ysD80tdoaUb3Zbx/RMjig6i9voMQG+eHeXEwJZcP7HyrARJa2+boV0YBH0yD +Yk44on2e0/q5xfh6nd+i0WjvLF0/s1I+pE6diq9CK8m5FWx8yIeKTcrkcfS0 +km6QVQUfks+8b1jBwXz/HvRjx1M+7PhU5GaF1n6c8mtvDebPm3ypQLTvm+zY +Q8+wv3ca8vPQHkfqW73r+aBSJLGzG715YnmB72s+aO86tFCGi/Xg8Vu9i418 +CPrxNY+H9mEs4ka9w/pQd3GfJ1ql7/twQisf/LjmCrfR05DEzvyA8cs2eNWA +Lumy0HnQifXAjXhhHn1ol1JuzSc+DL7btcaIh/PdXq+5qZcPL9lpC3ejC2PS +Ynr6+WCyQOFZODqmpmRydIAP106khz9G/8wP+LVgCOfXbwfbH+hS0upI2RE+ +EHvoWmowyUvT//hi5Ti+/iL9lwU68tzjZPIEH8LXOjzzRdvTfi5dP43Pcyw9 +IQutvv6uwa5ZjK/70pOd6OanM5/c57E+hWb/J8nH/UCtCjFIwBQqNF1JbHTk +cQPNWCFTGIverOiGNl1oW5glagpLyDv+3EIr5j7trRI3hUqH0P6XaOen0fkf +pExB9nDf21n0UMQv9TEZU2AXH3i62hTjd0bCaJG8KVyJkS2y+5+iO4+HugkD +AK6SHPGWSCFJhVxJjlLZp73XLnbXkoTkpihCQopKUilH5MzdJUWIhFCShISk +ECIhOrQrHd6nP7+f3+5vZp555pkZqdBXvsy9XSNHhCqP4Rvn0G7uPzdskydC +/unB7Eq0nMvqFVariMChiV0dR9cGJOcfVCbC60W2GQokjP/Wi53Ra4lguKYz +k4lWtFHPy1clwuzn4PwQNCPivGz9BiIsbGTeuYUOODqk+l6LCO/F6JVv0YtF +rd782UiET5KHmiTIfMK+hWLaipuJEK7z+N02tD9PTWWbIRHIDeRv+9GEodfl +tluJcHvjN/E0dMpt4tfg7USwe9Ks2oyOqLz4PJVABLXBDspvdPPqj7QqIhE6 +34t7aFHwfiY45NZPIcJWxYMX7NBa3lZq8xlEkJqaV3YezSp/GL2eRQRuSf3A +Q7TvqtZLDAsibH5asuQzmjdWstWHS4RnEZ3EVVSsJ0GJp+OtiLCcqBpkho7U +S/OvsCGCreO1u8fQ/WcnRd7vIYLM1t0Tt9HKf0u3L9qLz9W2a/ahR+QVlm90 +IkJ7JNtbisYnxByhxu9yxfkvTiw2QdPKHUtOeBChW+S/Xz7oQ+fjjt7cT4TE +vgrqVXTHHeGhDh8ilF1OutyK7pno/zLnS4SOM9c/zqH15M1yNAOIIL/083Zd +Ot7/lgXM7grCeF5wveyIFmo8wT8VQoTaXdJfL6Fn9ZKTisOIQHvx3aIWnWLz +sfd9OBG8GOLFX9HSZgnP/jtNhFh1azkVBp+grv3MlhBFhKGG18e56On1d2IP +niPCkRMXxyPQkgcO+mTGYHyLj9neQw+SN399GUsE5v3s5qF/n5+3Tl74MhGu +fP67U8aUT/j0y+uT4RUiFN6Ne0BG92Zs2uuVSoRgewfDAPQxx6yQjAwiFLCd +SvPQ72qHTF5lEWFmJMOoC822ULkhmkeE/47JVIkw8f53LfKByXUi5Byspxih +DfyMDwfcwvErFrx0Ry/a6/6qoJAI6v0tjlfQc5uN3n4owvUkq/W9ET378FX0 +qlLMr1WPo36iD7x0G7QuJ8ILbtIaDRbWV1v5wUuVRPBYll9lix5nrIh+Xk2E +0odf7M6h/2ZE94jUYXxvHZmrRC/wTH1FfEIEI5NteRPomBr/gOONuP5ebjNf +ZYbn46fw6OFzIiTUH501QyuVbiiZbSFCtu+PG2HoVQ27OVvbieC/9Y7dHbQr +41dSUCcRhoOuSb9HpyRuiSrvJsKimL7nS8yxHi/drvLzLRFcu3hRO9E+G3Xd +jPsxH++K0/3Qcz54RRskQuhRIYkctJRdwkT1MBE2XDJ8+QpNidu9cf4nIrzl +3k4RtsB6ca9CkTpBhJjVru4G6NMB/SXRU0Rw4DkYuaFDr/wQtH4jgh47WTwJ +/W5EdUSWTwQJ3+UDT9Ez2zOO2/0kQops14MZ9JcTkY9zfhMhKa07aQMbnSde +Oj5HhEAXpSBbdGihFUd/AQlkm6/tOYcOuxaXfEyEBOZ6AcSHaJOCiQtPxUjw +6kek1mf08cEYHWlJEjQG9K5U4mA+nMgNsV9CgvtLjopboC822QTcWEYCsqrt +3+PoSMnXCvzl+D7Z8B930Rn5pgdJ8iSY3j45NYC+Nq//YOwqEhT8zvoszcXx +JNSseq9Mgt57aZMktO2g3NGN60jQUtv3zR9ND10WcVyNBB9Oe8zmoeXm9W1p +0yBBz17jha/RlQo56Wt0SKB4h7dM1BLvj5Exdw9vIkHAq/vrtqLbxJt9G/RJ +UKnlstULTTtyZmDlFmxP3paTin53e2LOexsJjP4kH2hGb8xSe1FnQgIr/XXn +/vx7TndhrCCSQE35Z4EOD/fD2y3+PhQSuCivbN+LvjQSZ/GEToLYy6dmL6GF +Vva+UWSRIKV/m2odmnzkzbIACxIw9xKsvqP1CSV/XnBJkO1/8cw6K3xfVXKS +mjUJeCe0qqzQW1hlA+G7SXB3cDk/Et3BMXz3zo4Egb/N9crR0UTqmS2OJJDX +6fT9hKZnSw8lOJPgQPeNEnlrzPd5jVNf3Uhgavdilol+MBd328KLBPHyQD6G +rqZkKhZ6k4DtPz+2EJ12XnGHpC+Ov0lmoB89kaz/n7c/CbKOHdFfugv3J5Js +/IsjJLCY0jhHRHd7jzfqhJBgSfjG4cPoYOEPdy+FkeBZ/GliHnrhIi3m93AS +dERp53Shj4V/SbI+TYKuWrVFojZ8QsI5h6QHUSTYmOnvsxUdy8xhrD5PAq/T +Mm+80GmC8cJTF0mg8moRLQ0d2O76dCyOBMRx8/IXaAcNk3hOIsZ/45jWHDrA +IVu6Ihnna15Pru5u7M/bGsqadBJo1CspO6F9FB9rRWeSoLmrPCMe3ZX/7un3 +HBKEZVxXfvLv89JGcg7XSDAeMpnHR8cKz1N4dpMEgpfROuq2WC83eLzSLySB +0/ywB7vRnpQUyCoiQfDBRsY5dIjqEyepUhIsC/V69xC9/Npy49ByHE+0i98k +uq/oYcNYJQlW/imTUN6D52HCsKhtDQleGDpd56CPWFcLNdXhfKW40U+i9cUC +C40bSKAf/Xi8BM0NNZYueEYCH8/QuBG06futWkovMP6pMdtX2OH+5Jv9+1Ib +CUbCf31ioN1OZJ8U7sD+n6hPCUG/c/OoDXpNgpJfI+a30Q0xKmWfe0gwy3MT +6f/3/UNz+5z7SLD/y87aJfZYf2O1n7wZIMHaTcHHiWjhyLf97GESXAn+b6c/ +uuSrUXHjKAk8dOeL5KM9T/pu3zlBAvEybstrdNHvsrAHUyRYcHBeipgD3ie0 +jY7qfyeBW42U5zb08SllrTt8rC/iIdu80QFaOUkasyRYX0pdehXdMDBRmf8H +46niN9aGfiijnbx2Hhn2lP1pmL+XTzj6Jm5jljAZpDs/5eujv9iYHV8tSgbV +IcNoN/T3+nNRGRJkOE0ePnQFTbQ/xlT6jwyn7H/YNqGD/DmNGdJkSIpzp/9G +q3gYza1eToZF9O1bdRz5BIlrDl+yVpIhaPCwtqPjvz+f4KeuW0WGyAap9XFo +ENs4/7oyGX7YSCo/RieaG63VWkcGn78Hlfhob3XC3F01MpxXMFJW34f13yIw +0VCTDGmyzutt0TORiz891CGDBWda+zzaIXeTgKRHhrbN41ur0YPnZGufG5Bh +qQqd8QWtoztK5W0lQ1y4hJ2KE5+Qe+lNVO92MvDuG/jx0PbVK8+4AxkeqT89 +F4ke6O7e+Y1EBs62R9fL0SEStIpjNDJE8dY8G0NLJyR8FmOSoeDN2ISiM57n +ar72JZqT4YXuKhkLtM5IzIV1XDI415SbhP977pf2s9iKDCrjVQfuoUv6TdcS +d5NBX147YxgdXdQk3m5HBs9ikVdyLnhePM666+RIhviVTAlT9MFJIZlpZzKI +ls1SQ9HvS1cYRrpjPD7LRhaiD1x5vHzlfjJsUktvfI++4W5QVuBDBlbjJall +rnjeE02T2elHhmmjr7so/7x/g15XABms3lXnHkGrX5L678BRMqxUnJ2+gZ48 +FXpr/jEyXLXPob9Dz+zPXZRyggwNiyqvSrnxCVV+99fqnSKDX/jOWUA/6hiZ +azpDBvImI5vDaM8B5zSXc2RYF5ZWkYcem977828MGWxbfZW60R7Bi+VS4shQ +eO5+pLg77ifjKT8MEslwUt7n23a0U/v2y+3JZLg5eHnfQfTJ52v5B9PJMMzc +2JGFzg8LXyGVRYZdVcamHeiJ3DO/C3LJEJNRXi/igfkq4pHNuk4G4V03YCs6 +7AhP/PMtzH9zydr96ObBMP2YO2T4NP6BnIGe3Llyje49Mihe0W1uQ/+9bNXW +XkYG3wdfrBd4Yr3nuxIDH5DhyoP1wwbofedCj8hXk2FWqC3QA60T+fxgTS3O +348piVS0q/ZpTdcnZBDMnc59gX7Y/famxDMyyJ6NAyEv3I/G5k0WN5NB56fs +ez10/6sNP2zbMB/Ll5x0RUfLRz5a0EGGfp2TG66g6ywZ7NuvyVD/xPtVE9pH +OT9311v8/HDbiT/opM2tVfP7Mf78gk26+/F8yBGkFg6Sgb1v/ogT2s6cQ9gz +gvG9+DL9MrpZYsl10TEyxH6S392Izjjm1lX2mQz3u/vkfqGX5Z5pcv1Khp4n +q3q0D/AJo/H5p2R/kEFCvvuqI1r9EF+4YYYMnSZSnvHocs+bzCO/sf30RwYN +6Mm6HzYbhCjwImNq4c9/bpPQfreAAs0FqW80vXG/F6xuvLiIAuqbntx1QJvm +uWqQJShAvHzgXCzayGEJ76cUBeKIcZ6P0bHllpQ70hQwyjFkCtBXrJ3/ui6n +gNgaW10NH/SE3/FV8hR4t/7PCnv0321ljZ2rKDCsoLzwEnp6xb6emDUUeH6g +froOHbH/Wgl9PQV0Tn78+AMdsLZq14IN2P6z833qB3H/oHXVV2tRYOT6ve49 +6I9Tqj+DdSmw9oJdVwy6jTAkMNLHz78/87oW3bOf8OiHEQUKFhu+m0Y/fniQ +W7KNArLH3D+oHcLz/LnrhYcJFPBKU/xii5YyVurcTKLA4U6ruQvoOdLChmkq +Be7FLZOuRY/qxoWXmVKgjmCtPo1uv/Jz0VFzCiykKRHVfHH+1h/avZ1LgU0y +B/baoh1jNQKFrCkwuxROXEBfum7v8GQ3BVYXpOQ+Qh+gmkifs8f5MAtt/o6m +Ws6L4+yjQL7TsEDVD88Hz9/2rnClQLZVl6ot+kntfP57Dwp8irPYfQEdwbnV +c+MABbZEci4+QvvkiZ8/fIgC81LfNX5H3xWyFjfxp4Dojq8L1Q7zCfNL66zE +gihQ1n2Raot2Whvp0xlCgYdvyqMvoF2qOnnZxykQUXCg/RE6Wvij6KGTFOh9 +eGvVNNrmwlS0yRkKUI8EHlDzx/Pg7Lq3kuco8IX2otoW3Spc9bM3hgIaqXdl +YtAN/p9HCuMoIN2n7FOLblGYyD6RSIFboUrPp9EyI5PalikUSBm6oakegPtF +i2aUagYFRE7UX9yDLu7tLprNokBw9X5BzL/nOlq3WvMo8Esix6kOrT+1xz/v +BgXInZ4vf6Af7s2QDL1NgfdnHpE2BPIJO1o2HLEsosC1S9cq7NDz0/SLNEsp +IGG/evMldOrWH5XCFRQg2arfrUfLaGQn9T2kQMmPOl0B2knYj1zxiAIDaVMl +GkewPnql1iU8pkBmVeF2B7S4tJW0byMFph8LNcai6552bjZvpoDqmhHrJ2h5 +J56aVhsFJgh7P82gtzQv+izeQYGZmAPHtYL4BA0RtdNjrzHeoVIrHdF8hU9T +TW8xvwIpZfFoQ43T2gX9FIgcX7rrKfq5s55JzBAFFBn+v2bRthLqKr4fMb/+ +HMjROYrvD0x/wxvHfA76be6EJos1uWydooCW2tq/l9EpRsP1St8pcCxo4O4z +dNQFVYGwgAKTPUbuf9Cj1578HZ+lQFGV6ppNwXge1p3tefWXAq4XC/tc0F6D +v849nE+FqerWq1fQZhfnS+eLUOHzg2iXZrS6AtX7kjgV1n3v1xIKwfk58jc9 +RIoKtK7Wmc3oqDznXHdpKrx5ZdvojnZ+dPsEbzkVMmzDU1PRa77JbCbKU2Gs +h+TXihY7+LJSV4kKJ+qzWQtCcb1FKSgoq1BB4lSGhhG6OU2Ts0SVCjfOGy3e +j56VN3aYp0GFcyyfrxlo98jjxO/a+Hl9Uk87esJX/+/wJipkF5c1iBzjEyxP +x8a+MaBC2pZnZcbon0Gtv19spcJHg5CbPmi95WpQv4MKHfIvsrLRJ41f7qnY +SQXHXTVpXWjJ1yLsuxQq7LDjpoqH8Qk7x4RWXWdQ4UFyZLoJOv7MTF2mGRU2 +n7DL8UPLdqsSUzhU8D7RUZCP9l/yJCXBigqmElMVPWi54MUvLu7G/sYWNEkd +x/kLNHxzzp4KfyMk+4noTT6hNVH7qLCGKy0IRJd8kDsR6UqFPp9K6VtoOERU +OO1JBUWmmF4/2uGeQewpbypc2vWbt+wE3o/dNQdP+VLh5sLLITS06W57qcgA +KlQ3vMoLQY+6LlwedZQKwYsrXt1BR4XY/4w+RgVNOmXhB7TM1avlMeFUODUe +ZLwinE9YMryQF3+aCvs9eIdZ6I2Hm55fOUsFX93uOyfQJmfUlK9eoEJEqfCX +EvQH712c/FgqTHj2bP6EjjyVsLfwMhWcanaHrIrAfDFZybyfTAUt9ZMNHPTr +tcoytelUCFy+SzYSTWkeevA8iwoL/nS6P0A39GUQXudRochMqHoS7b3qfPbQ +DSpsCumSW3sSzz/WI0NfblPBdsYmYBda4+DogrkiKrgZRXWdQ+s5vJgvVUaF +3Fsu2x6hZbTa3q96QIXwp5M50+jT05oZOtVUgL+qSzacwvvDqMI2qKPC6TrJ +E/boQbO397kNVJg5k/M9Fg2H82TcmjAfa0e9GtCRj0s5wS04v4O9w7PoK49o +By+2U0HP4aTLxtN4n/ia6J3XRQWj629GnNG8P32shz1UWKY/cOAKujV5j2RH +HxVSA1L4zejFF+h3JgapEPR+4al5kXzCp6IBPZGPVLAYXStriI755XRFeRzz +Y96PG15otqfo+21TVNh59SjxKvrmUilxm+9UUDcs7nuF5ivfXR4goEKZ8dUw +0TN8wvU2DZH4X1RoU96psgOd4vugu2iOCh/srjzzRWt4psa8XEADL+c8/3x0 +sba4+rdFNFh5w2PtW7SdKSlv2WIaWGUPdv4XhfG1OyliuIQG6x4vO09GE2UW +sXbL0GAy4jflKDreWCLw2AoafLFMX1CIjrjWfCpbkQYrCviPB9F+9KigRmUa +BAuJRcud5RMa5UM4U+vw/Q0dXBa6TH/wP7kNNLjkZ7s6HO3xaPYeQZsGy0NS +pkrRxJ/zTDw30WC+1eX6MXSmtkFhvAENdAKZqaujcT949FK4ZisNmiyrAnno +T+qyxPEdNBh1Hrc6i577vt1tBZEGiopdW6rRvNpIXyqVBvHfjq3+jh4n6boE +mOJz+yEx9XO4H5KOmOSZ02DmpciMHTr3SrJQF5cGGk9HP8WiHTd33ly0C/tz +72x/A/qOvMcO4z00qJYY6/6FLnO5VO69lwa76OJduuf5hELj84rZzjS42zfW +5You70v2fO1Og07K+bcpaF6e4KrkARqwpyeHWtEO/KEa8iEaaO1b9kX4Ap9A +N0t/FupPA8kFs3Nb0ctNnKpKg2igwMlZdhDt4O2bOhVKg4S6/zRz0b1xYi4a +4TTwayFQ36D1j3vKuZ2mgfDEZlepGJzPZW2l2WdpMBA3cYaELqGEEt5foIGS +sVdhEHpC5XaJUhwNbu6+3X0b/aY5S9YhkQbvPcpEhtCDR5KdMlJo8Lv/9JYV +F7EeeLxK7c+gAddQ0cfsn4Uu1q7JocHY0NFrEejmexIdLtcwXvuufriPPrPo +7Kvrt2iQv/7C+s/ozUnUR5/v0EDoJslL5RLGV+ZUyuYSGti61RfvQj+ghDsF +l9PA6NXiufNoPeGwFXUPMV89lS3q0NE7HjwUr6WBf+bfbAE670eABe8JDX59 +vTarFYvnQcbXtoxnNPDtUrR2Qis7Hdg59oIGMk/tS5PQWifVsgzbabBh+/4V +L9DvRZ2/nOyigccdyvH5cXg/s927sb2HBs+TP38yQg/+tnNY008Dsr+zjTe6 +JyrtmO8QDTLLrzVlo0dyHS7UfaSB9vsH0I1evfzDBZkJHL9L+gPJeFyPxd7H +3b9g/lVbbCGhw5y3O1VOY/54tFcEoSV1Yg2X/KTB9Lv1hEJ0q+rt365/aDCR +YNo4hPYJelnycB4dSsR3Wq1M4BPWuRD2yojQgVEuNmKOnoUtvw+I00FkRV7w +KbRL4J9zDVJ0WJe7bNkD9PyzbVJrltHhXpfVnSn0bunvp0Ll6PBO44DF+st8 +wqnK/MluBTrul7u+217+lx/aLENlOjiukUu9dPnfftCYnrAO31dRQG1ADx56 +MPRdnQ7/2a/g/0I3zKco8bTpsD/K9samRLyfcG6alW6iQ3XpYUd39OlYLT85 +Qzr4OroopKNDF0idDzamg5iwdk87esfcpdQ+EzoEKLSkiSZhPRAIMkkkOrir +0J1N0B0+p9Nu0OgQkZCq7Y/OEQqNWcKiw+rPjb9uoOUdlI4EsenAud72oh/t +xrpjPcCjQ97OezmyV/iEEzd9tZm76bDRwPcYE33nwPVfpfZ0kJwT3xOOfpaU +WLvGCfunEL79PvoA6/jxGDc6qIl0rPmMZtXmGfz2osOq7cISa5PxPrTD7IPX +QWxvq/SMDfqQWsW5nsN0cAn+OxqDtvmhpcUMooNe6LPex2hFvYknD0PpsL3y +cNcs2vuk8e6N4XTYVvKnXTcF63fOnpHs03Sw/eD+yg19yiXeWy6aDnsbi1+n +oQ0L10+dj6FDTW9ffzv6XYj1/gXxdPDLmhgXTcX9YsBzMDiJDq2X3v0yQa8S +y+V9T6WD4YY7/wWgJw0ZdQcy6WAw6qJ2Cy31OF3zYy4dMph/iQPocvmRS043 +6KD4MsRJLg3z+6Hbt77bdNDi9542Qx9nuLDtiunweMv62yfRMf5rb/WU0UFX +jttdgS4T+TTftpIOB/5zXfQFPa/v566eGjo8v+pgrJrOJ6hNptzc85gONlSC +rx3ak7b0V28jHY6HLyqIQzcuzWbse0GHRW33xxrRzRFxicMv6ZBzl609hw6d +UBv06qLDwaz2wwYZfIJO5TWtrz106FxjUr0fbeazKzConw7+d+MXZ6PLU0Jr +hD7Q4ULzK4duNHnKTjR6FPsz/bdE6iruh3omHJnPdBi9LvsfBZ1v4pZy9Ssd +nrmv8A5BF4spfNDk00G9aFFrEVo+LVunYpYOdsIf9EfRbfKkYNocHeYN3M5Q +ysT4VBOfdi1ggNxT18VW6OsdH2XdRRmw0nBx2Dl0SVOQ28xiBvy9nfW9Fj2p +uL0ieikD4I6q9wz6194gKaXlDCBWpI7pZOF8U/3diuUZ0MCad8AVXXA5sJa2 +mgEzn3Z9TUXnb2hY3beWAf5LM4Pb0YU/boQHqDPAidSzSCwbvy/m+VFSmwE5 +QouSCWi3aFPOtU0M+PlMVScQ/e3e5ZqdhgxwUTZ+WoDO7ojV6zVmwKVTO12G +0A9sI28eJTDA5siOhfI5GO8XD9TkyAywDta5yUY3Pgm8WUpnQJGUrOWZnH9/ +P2reZiszBlSVfp2rQmesz639wWHAtS+P706jO03yrJOsGXBi50VXzVw+QXiL +2betexiQvoGj5IResu5DQu9eBvRoSLy9gvbQKTaJcGHA/KdVqa1oxbS5KTVP +Buic8HQUycP5fSpzo8WbAae6pTbsQCuuNfYK9GOADLfwx2G049byzauPMGDd +QXrDTfTs3dcLn4UwQLq4N2UA/ZA08P7wCYxPus/hFflYH56uerL6NAME935Z +WKD1N3QVN59lgH3Qad1I9MR+y5vBMQyQ8l4sW4UWLuq7tSGeAXtkY/98R0dp +1t5/k8SAbdPLxjSu4f1dk9wSncaAhPOXe/ah960smtqeheNxWt56BR3ly1H8 +kseAc4LEp63o5S0+vNybDLjdJvdY5DrW+wHuld13GCDpm/x4BxoCaKP/leB8 +2Ck+80dHeiWSn5YzgLE86+Ut9Pyqs7ePVzEgS0W9bxBtHrF/7dY6xr//L21y +5Q08P42czv/ewIBvRMICDvqi9lqjO88ZoLi3TSEKrVJ+oXN/GwOU+1y31KDV +hJZEbOhkQDVZaDcfHXl5evvoG2xPLvOY9k08byhHilzvY0BADyXfBa3q8l+/ +xxDmq/S39lR00ra3DRqjDNCg5C14hfbL1K/+PMGAQP7eLeK3+IT9GW5Pir7i +8wIV353o33sevgvkM+De2OfbQWg7xXDhHb8YMGFUN3kHbbJNaIewkCk8W5G5 ++SNaQ/10ZLOwKdCXRYUqFfAJLb57Bi6LmcLyguBnVgX/6luLmaOUKYx5Bslf +QCd0azRrLjMFofbwg4//+Vyl3YycKRh7JTX+Qpu0Ns89UTSF7vKK9Ztv4/q+ +e7M0YY0pZJE+RXqhX1tlhbmomsKmWNWJLHS20B9bA01TcFXzs3qDtlkszlyk +awq7LjTXLSnkExaOyFj06JuCGMNQn44uWOPlXrjVFOQG7tw4jqa4WiecNDGF +0Xdb195Hlx5U7dpNMoXUuo7MSbTdajXtTXRTeLAyXEX1Dp4f3POSxcxMQd6T +cN0ezbGeVBjimILEliV6l9Hs5RYlVdamkC85XdOM7h+TcU7eYwolvuMc4bt4 +P9p0QT3Q0RScx/kft6G1nBYu5Lmawq35chGH0e1iz2f0vExhNYGlfAvt36Mp +vOygKRDUk+oG0dMpAWrTh03hO3XGQ74I+6PGd+oKMgUflUPLuOiZY7/KKo6Z +giNprvYs2qf41dqMCFN4tSnfvxZd/6P5xskzpmAX6Kr5E917yYDhdd4UPJN3 +jOgW8wleY3vmc2NNIWHtxjwPdOipmE7jRFNoTjf2yET7CRTq16WaAv+S48Zu +tA2f+/y/TJyv01mz/93D+syNmPyVawoxC/8+o6Hbvs9ofbphCk7JgenH0Ubv +F555XYj9bZIIuI9uMp753XDPFKgq1ewptDlh9cX75aaQpBGjq1aC+Uxo2nGj +yhSmD4TK7EUP3KKLpdWZwnO/s78T0UPLxr5efGoKDg2loy3oZsW/glPNpnDs +67w3IqV4fjjToRDy0hTMw3xemKBHNlXZ+3WZQi//15NAdKCsaLXXW5zf4Zt1 +hWgV8sIdLu9NQaMzpH4ELTwp/NZh2BQeWRxsVCrD857Driu2Y6aw5f3pl9Zo +LwErYNeUKdgsfdQXg2YbG/pZTZtCo7fSl4ayf7/f5HyR9xPffyJr4Ry62Fz1 +Be+vKRh2MlYb3cfz560WTesFTLjCl9txEO3VdPuWjSgTJA4t3nsNnV0qY2Yn +yQTjF2qn+9HW8bwl+6SZcCTZ645cOZ9wPq/6h5scE+44dvZaoB3ouX+8FZng +V+ixJAp96Ye1euAaJtRLrac9Qr8jqQceV2VCoqRExAy6Z9jz41lNJuw0UqjV +reATFuR7h17WZcK0nLWwJ7ruwGmDbAMmDG17yMxC58CCZXeNmXB9o3nSG3QD +aatsDYEJ748v/rj0Ae63RUe3t5KZYFUhMDZFNwwtP/uewYQcjyXxEWgVtvOv +b+ZMEMjvmnqATjxTFC/CY8Im+2aL7+g4Yx5XYTcTkh8eKtGs5BNO6mUYbXJg +wuUG8ioXdDpvkER3ZoKDKCM6Da2cf/iIowcTzv4X9qsDPULOaz/qzYQezw+H +JB9ifTnQZJXgx4TnuaFjFLTyUcN5d48wIcSc5hGGDni3vbM5lAnfpsljZWhH +zU3tY+FM4K8PPDSFPiXtPiN2hgk2h97OqlXxCa52enSN80y4vS/grCO67MdI +LTOWCQpnyYrJ6O393a4+iUyY8Gfce4me3G6nH5fKhJp7p8zFqzE/zJ5o389k +Qn4H/zOx+t/+4cHtzWOCqVtmbAj6j2RKtvAt7L8gfGsJ2qSlUEn7LhN8VqQN +T6Aj7H81WJcy4fCuqcvra/iEn+c6UsMfMGEVOdTUAe1Gv5h+u4YJGj6kBUlo +2/QTzT2PmaDmSnnUih6880ddrIkJX8ojwkUf8QnST/bc29LKBOmfv6g70d/h +y37PDib0lxYtCUbH5SyxTH3DBPLx3L5itPN5ac+WPibcG+64O47OLWYWzv/A +hLCjpDPravH+Obl07ZZPTOhq+rLPHm1uXPnUZ5IJV716IRGtey09Lf87E858 +ElvXipby+C+7f4YJZt2BEqJ1OH9Nbt0r/2J/GtcJAF1lPEuwWsCCTIbMx6Po +dRTlN7GiLKBPUt4Wo4UTNua2SrJwW37wahzt8yUsS2oZC+JHfNvW1eN5z9j1 +pfkKFrjZe7+0R//13ap/aRULRHbc7kpEu9Zwm9pVWBApp/e+Fe21VzRhuToL +th3//Vn0MdanW0Wxe7RZWM8khYjo5Sr59Vl6LJjb7rI8BG1ot0PjkxELbt+f +v6kEnSjb+mTTDhZoiX6y+Iz+rXIvMYTIAqVaucOqT7CeB+1Mb6Cx4KP/xZS9 +aDPN9jfSZiwIKWM3XEHbeFaxHLkseLDCjv8SfenUHn7hLhZwdYo1JBqw/5PC +r//asaAn2tKZjOZtkZ6ycGKBYy1kHvtnsXcm2e4syHINHihDg2Zlw48DLDgk +Pk/tC3rLedEzpn4smCJ1HtrwFOv15lUnMo+woDhPUO2EZptyiwWhLEis91ia +9vTf75PPU2JHsKBt0waPTnSy8Mn6G2dYYH1qa71UI+5XsZtyhC+wwN0iRYWO +Nndzq3KMY/379w4jw9EilBDp6iQWCGVZTD5A90o1ZSumsyCFnWc7jS55UuAT +ms2CkSaz59rP+IRdF44F9l5jwbtcBrg/+/fzrMQHhNssuHw4uSIT7eHH3ZZT +zAKN5h1GPWi6t8TPReUsuEcyqljWhPlspDjtXYXzcTCSYIYOuNSv1VnHAr9h +zaZItLPN3ZwdjSyYMFbf/QhNjv5kc+0F9mdh6MRP9CRphCX9igV736qd2vyc +T0h7PO9EWDcL9Llayt7oa15J38Z7WbBPKPpRPnrBvfl5tkMs+C90p+t7dMOW +q0lNoyy4vsdSSr6ZT+irbGzaNskCX4NHlZZoJYW3JoXfWXAsM8r7AvqUhd70 +mp8s2LL59tqnaPmjGuOJf1kQdEqnT+gF1qPO1eskhc0gRFMy3Rg9Vu9z9ZSY +GSjVMBz90Q/rD9v/kTID0dcf1ArRfYfOORyRMQOieP/3j2jtaOmcbyvN4NCX +LY/XtGD9++qqeXC1GSxZ8/3KHnRH/qBgYp0Z6OpL+V1Gv3g+LHpAwwyO10Zb +tKJdspodJjaageE+z01irVi/o6d/ehuYAe3WTTkSOnNhZc8XYzPYssVi/jG0 +0/1j8wLADL5c3fW1DB3hleIzSzGDIyGPP3z593mhgyrhTDM47Zz4TqMN5zt0 +9yoxjhlEf3nR7YIOEivfG2dtBicq97/JQL/8OvpJ0c4MGuwP9XWj5VJNH17f +Z4b1+N1H6ZeYD7HbXhu4m4H7+bs/WGiRCPltjw+YQTbz86Iz6BNG1FFLPzMI +pcUr1aL5mav6Pxwxg0src7b+Qje1za0+cswM3uxZtdugnU84Ms28JX7SDOyu +zz92EP16777wq1Fm0H7FMu8G+uW5q9kGMWbw8emS9iH0YXG3/17Em8FAq/EC +pVd8QnScTKNrshkIMdu32KD3Ckm8mMswg8Udr/3i0AuYN5RSc83g9UJWUTN6 ++KJFldFNM+gJ3jgt0oH1d6nDjc47GI+WiG070cm6BkP+pWYwmUo9E4I29THY +L1tpBmZhIa9L0QU+NTvvP8L5X6qi9QWdwN/sbttgBpenjE9rdPIJd75+f/v3 +uRmcLW0YdEFv8HbMzH1pBn//PiFfRatf7ilhvjaDh+5bb71Bv7lfv3L6nRn0 +n1uzXKYL66vpsdb0QTM4sOj4aXP08n6PLvqoGcgf4f6MQs9uGNX58dkMhgLT +fOvRjaL2b7K/4/zm2E/+QZsf2dDF+WkGX5MTD255zSe8v3xn/fw5M6jn0374 +oWdyOY33hM3BZpff8dvo/EV+1W7i5rDbZrnUKHox/bCowhJzcEvSz1Lpxvv1 +4vL8NllzqC96scX+n9fnJJ9RMIcX5MGOJPSrE0kDhDXmkDzpF9COZmyaCfup +iu9jnZCXfMMnHPJT9yvRMofE3+KPaejC5HOVh/TMYVP6Mr8I9AeV03t0tpiD +cXPKuir07ztB3M87zEFBPeutAJ0yrynzNskcnCzUkvR6+ITu+b3Ugwxz2Pte +e5c3urlalqJnYQ7+waUK19EF9t2pfJ45TFVWfxhEG28+y3xoaw4zJNPiVW9x +f713nnfS8d94bE7ZoLlHafeZbuYQnDtmG49u3KnkL3vAHF5WChm2oG3GAs69 +9zWHNUmpsmLv+ITbR+/9KThiDiu6Kn+S0Kpy258HHzOHuhVOg2HoJZIB04yT +5tDxN6a1Aq3UUn9U/qw5nFEn1U6jNSYv7JmIMQddw+P3N/bieXPt1pSaBHPc +f0nFXuhqC03DhBRzuBYWW5SHbvNt2uiVaQ5CvzxK36M/3g49szPfHOx6m6oU ++rC+M6/vkC/AeD2932SNrqm8x50uMocKG913seix+IVPW++bg5q+wbdmdEaU +cGpBlTkwZhsWi/ZjfQmQa42ux/GyRjRJ6Hy7PGevZ/i+F/EWYegOF9ndzFZz +cFzVdqQCzetouaPdif3tT82d/vd9pa0eS99ivpQIOje+x/XeVRnBf28OBYQP +EvvREver596NmIPiWidqPtot9Ub/4wmc/3l+pwfQGWc/qBR+MwfXUJlnigN4 +nrv1+tmVGXOoNjJdaoOOYo53nPprDsOdyxzi/z3vO0P2E7aAwZ++d1rQl/7K +rtwnbgFDVNeF4oN8wmmvv1zOEgvY5zi5l4KmLLz5jbjcAjI+SdacQP/tCp8x +ULQAXuRjlYfodUunXDRULGB+j/Q5AVpVdM8WZXUL+Br1U6A3hPdF/Y2H5XQs +4J7hUU8ftJdhp+wSfQsoOhPXfwOt8LpMWdzYAkSUqbbD/zzfJGEhWEBQbsIb +5Q94/3racWg+1QJ2VITZ26GdHYbLhFjoBQtHktB/NXrchLgWoKimfvgVurxo +Vfg8GwsIbBoV/m+YT7iYLC8i7GABXbG0VFO0Zsk2/iIXC2hXoRhGol/PjnMk +vSzgsspgZy0693ziSplDFrDcaHXwH3TgzXwzxUALqFz4R2XrCJ436s9Mrg+1 +AA/90DZ/tJNX3m/dCIyXZ3rEXfQgb3/QjigLyDbdt3UCPexEcWLGWIB9WOO0 +2kfcT9KvPrBNsADVW69KnNHfN42E70+xgBtHTh69ii73PV1+LNMCIqK7iW/R +z99+cojNt4Bj0a+WyI3i+WPJiYD8Agv4qRQwxEXf7Cr5/bDYAjInqx7EoGvX +/ZjuKLeA35mFiU3ox0sKHSarLaC2l3ZE5BOe/96wjMWeWMBKVrQdEW370SRq +/XMLWJUQSA1DDz/7Sie9tICT9pIGD9CJBq9CnV5bwGm2hTofLS3OWXeyF+dL +doey3hifIDB7Q8gbsoDnlq8VfdBfNXpaGz9ZwHSJktJNdJ2gtuPzlAVsHli2 +bgRtvmnOXIZvAbbh93VUxjH+x4QI239bAMVE3MQB7WWd0q43jw2atYu5KWgz +64U76cJsML1X49WF5rbOeDksYoNf1doo6Qk+Qd+tgB0gzoa5s1tvmqPXtO36 +dl6SDeJ1815Go8Ne67HzlrDh5n/Hfjeg7e0CvKqXscFLsUBrwWc+gWa1a2f3 +cjaMxF3cR0AbNy7p/LaSDWar1FND0EVtb9ZLrWJDo2vgm/votoyxzRrKbBCS +C1GcRpODQuaoa9kQ9NbQRXcSz58Vj6NcVNlg7nDz7gG0Xsvf1ogNbCgw7Zp3 +Aw1GTp1ZWmwwZlbuGkbzY9SSazeyIUzCtnjNFJ+w8MQZhUE9NugZ3VvqgI5/ +9sBugSEbTh59GpCC/rxz1m79Vhx/WFJfF3rLyzBF+nY29H5dy1r2BddDYHjq +fgIbco97V1ugbajbei4S2bCrw9/gPLrJdbi7hMKGmVTjokb0demKpB46G3RP +1mxa+BV9dWr5PBYbUgyF7+9Ea/jVWatbsIHoLLYzDL1LeP8uNpcND0pbWx+g +6z6qrDxqxQabt7ucBWiZurVp2TZsnN/sX5u/4fnN7Nr75j1sAKu7Vw6hE2w+ +jggc2OAvHGF8Gy3buOrOWic2DG9fMfAJPXH51Fa2KxtWFxw+r/qdTxB/aRV5 +zIMNV4Qub3dGf059fvnWfjasGA39ehXto6vs0ePDBpWlWrfeodf1Xfgj5scG +JY0cz5XTeL4RtbA2DmDD14FBLWv0DbUMv/1BbFD4OD4dh4bmUm56CBvujlbX +tqJXJrfxW8PY8OeyXfziH5hf1A17F0RgfqQ/8WT8c97sOaPT+PzOLDkSLZ58 +/NiBKDYsC/29rh7NVfi+OfscGzyLnosJ8XE+TS7d6Y5hA1XI8/t2tNv6uC// +xbHh2orOgaPoBHF9Ae0yG7JvLuksQzcRiupPXGGDk5vii+9oTS2K9YNUNrz8 +PfNMV8AnUE0170xnsIGudO25N3pQ+2rLxmx8X4ha+0104PF3Jfvz2LCyIbj3 +o+Df7y8rOV2/zoaMwqzP62Zwfz6S3TV8C+d3JG2+Ezr/Tbb0ujtsUF/trXgV +7bjObrlzMcZXfNm2d+i/B8QHs0tx/e2+6LDyJ67/958ChsrZcKB6MNIa/afG +sH3dQ5y/ccmSeHSNi7bArYYN+fFLR9rQ1tvFh2/UsYHnMakoNYvntSaxtM9P +sD3FPBsmWv+2h6LeMzbIOBkmR6H3JDi7HWnG9fU5u+8JuoBmFFzVyoa3B8fV +F/zC9ZyrbCP8ig3v05cEAfptup0QqwvzS2NZ8zG0IlH9cMIb7F/j93WVaI17 +j+72vsPxat2LmEFPrHeuUHvPBmVx7rDBbzzPfWJd8BtiwzzZl6zD6GuulVrV +I7ge522quItmyEwkiY+x4ctJP41J9LMoxdZdn3E9sxMzNf/wCfO9o9vzvuDn +FdMVPNGrjh/Onv6O+ZB2JjUfLZssSyAL2LDplLXyB3Td9cLrCbNsuBgtfnPN +X8zXu6H9w3/Y0OWcu2UvuuZ51ZDRPA7cerKuOQ29e+Pd0mhhDlxwPe/Sg65e +G2fVt4gDJ36+nbdijk+wE8+u15PggISRTK4VOsNOSShKigOPOgyY8Wi/6xSJ +vqUcSInaKWhDf46zHtaX5YCC2JbrUkICgvKbizHnV3AgYbG8AwsdzdZdNKzA +AT5jdEU02nA40MJkNQeWBOV0P0WLp2e7X1HB9sxZ6QvnCQhRF79ZfF/PAbeT +Q24ktMlknqjFBg40tXgahKOLF/6OvaXFAe/RftEatIiB/oSoLgeen6EO/EYf ++nFBzn0zBypcMqqN5wsIwd10mQZDDrgbjWYGoS1P5Q6uN+aAfPm6qDK0Qvn7 +iMgdHBjN4PlPo78wd/z4CBxIzg1y1VsgIOjqzG41JXOgMTx2zyF0kNsuzm0a +B+ymrloXoh1kLm9byuRAcH6u9QTaf//3mQBzDjg5Zu7REBYQJCuLz77lcGBe +V7yrBzps/7LJnVYcCKo97p+PnvlppXrDhgOb3rlEfUCv+/1Ab6kdB3Tfk7JU +FgoIaatPLgveywHymVU1juhZranGIScO1J37NpCB7pwPluZuHNhyvV6sF/0l +say4whPbS4o1VBAREPpn4j+u9+bAO2l7j93oOPbKb3GHOHCvS/VqErql90y7 +kD8HMtKnejrRK2aUzx48woEXKuUKMosEhANSqsv7gzmQuCZ8HxetV9B91CIM +x2/FLLiE/uwfXPIonAMOwXK/W9BxSmYNeqc5QGONsCVFBYQPoXF38qI40BJZ +fpOJzg0+f2jleQ6UjsSIRaNVFY+JxVzE9tS8vBvRu8LzgxfEc4C9iNklIiYg +hL4zfXw0Eb+/U49MQTNCCka+JHPgW7zy/ZNosyeSgx7pHBCuXL6xDu1mXFQ2 +kMkBdX/ZAiFxAUE94I3LnlwOjIWu0iGgP6x/NtF5jQOi8RtLj6EV5erNObc4 +MHWYtfMhOkpH/NyLQg709/q3z6ID3QeyTIs58DnmhsdWCQEho/tcfGMpB/Qo +4wuC0IfvshxpFRzwqjHOLUMf2uIu+vQhB7oqrzB+oCNfKZ2nPcL8/blwevNi +ASFmtmy8sZ4Dw0Ync/zQ60mH1ZhPOWBrsNSmCE3ck0RoacL8K7q79As6QMJd +n9uC6+OAU5uOpICgo68q8volBzLXqSV4o+uaV5TadXLgfcqcXQG6ZCJi51A3 +B8pjJjTG0TF11295vcN4PZr8s0EK3x/b8v1bP+bfV5EuD3Re1Rb50CEOFL03 +uHft3/N6zdUiHzkgwg69PIK+oTcxP3aMA8/mekLX/4fjeVj9RHGSA9JFXE8X +tInmqPuNrxzwWf/BNgf93uH2J8MfHKAoXeIMoictLZlPZnB92e0yW7ME81F5 +9QXebw745hibO6Ib+FZ3Psxx4Mw9Y95V9GHlHcUBC7hwz8Jmbx96Qkg+cdEi +LoxsTTi4aqmAsHKl3p4UcS7U6k+dskPXzX8+T0eKC0sWeF1NRVv7akTXLeVC +uvvCmh606qbE6V2yXDi6vm5opbSAcFGDt3NyBRcS5jIld6PvO908dFoRXZG9 +/Qpahd8XsUqZCyvkGg+9RisqbgkqW8uF4rdLby5fhvVN9TebrcYF1+cnRq3Q +ZSd9Jcc1sP2bslqX0ZMP+25H6nAhevtL/w50t2+03lo9LtRTS+qWyQgI3x0q +Ux8ZcOHChRpZS7TZ3vJPDlu54NP53TsObereqPh3O7b/gfP8JbrrhJ5BBnDB +MKxHe6ks1svuHZsJZC4oeMZcZqN3Fm6SG6Bx4bmXz/xL6JvOVgMnmVzQpIf4 +t6Lv+3+JVbPggnJj6bjUcgGBf9h0QzOXCzJ3lTzM0dxlt675WnMhuaHs0wW0 +7mpbyRW2XFjYHnboBXo29KptjT0XdJKP/F4sJyAc31h/0X0fxnMw6wILbWwl +eXuJKxf2Bvxdex6to9ZQ/MCDCzdXxNQ8R/N/GmS5HsD2EjiOEisEBMGOvKCl +h7jQUMgQYaJjTthtrT7MhQHdI0XRaK5H7tD+I1xQGuzZ14QOqnhyRD6EC7nR +AXLiKwWEao4Y/1kYF1q+0doZaEfNcofgCC68HuTGnUXn7VUo1ozkwqW1Sbue +oYvXhH7pPcuFeWGyKmLyAgK1aq187AUuSFe2fKWjS9L2bKTEcqEip74hCv2O +7q07m8CFpHk/MhvRR12yV929wgWrDOcTogoCgm0BWeCWxoV80hJXOvr37/Qq +pUwumFf+Mo9CbzCbOfQ6hwtdraomjWj+3fSlsddwPMw4PVFFAeHB7u6rzFtc +0J8x0aKj78Z+U1h0hwv+WdqaUeiJWsPI+mIudC7du7ERHeEz1XeijAtuMh1b +RFdhfLa5qxIecMHU/wKNjvb4OGr3t4oLTn/O7YlC32XWRFTXcmEuuM2/ER3o +aHDl+BMuzK/YEy+qhO8zTkzf+YwLwSd17tPR2RLa8cIvuJCVz3gfhWasoxxt +bOPC58nbUs/QYuMb2Bc6MP822BHFVgsIyaOqKyy7ueC9xiqEgV7ecOblyndc +CMlLrjiL9iFdCR3o54JahMafZ+iAHbkrbw7h+j0lShVXFhDe3BFcP/yRC2+C +9RNM0eXlfRom41xYqnfnYzSaF5N3VWyKC4+DjsJztO3JK4u6vnGhRDEhQ2KN +gNAjKuycw+eC3cTcPBZa+45+se8sFxaUVXmdRz9ROfID/uL36S3dzWg17RXa +S+dbgsJhPZakCs5XqcvuwYWWECg8/tgM/a72RnCJmCU0PJ8hxqB5/vqxZyQt +4ckVu4YWtLkUN33PUkv4aixn8d9a3P+mLK7qylqCbcSGXgv0stiQJJGVlvDL +JOHQJXR7jEpkr6Il9ICN2Ev0qqy4/aXKllBmE3ht6ToBQfrqSnrMOkvgW0+Z +ctEGoQsVPdQt4fnix9/j0N303I9ELeyP6Y+sV+j0reRbSrqWwB48aSWzHuOb +ttn912ZL0Mk7JGWFdnr7SOGNkSVEujxsvoyejTB+dn+bJWz75n6pC+1BmDqY +RLCEfcr+u+VUBYT8Lu0lQSRL8KwdULNBF+lQbu6mWYLetaJfV9DXLU6ZbGda +Ql3uh4436IY9xi9WW1hC1/mQe/JqmB+JZdbClpZA0juStAfdvJf+9pO1JQR7 +dJ9IQ7cYEva02VrCmfmZB3vRQVVjXfcdLEGlo8VZSV1AeFiUYp7pZAmORa72 +e9EyXzLqzrphPLxd7TLRjn60zf5elsDpa3EcQLMsP2Tu9bEEm65sL5UNAsL5 +licSLD9LWK45eNQZPb5tu//WQEuQL7oQk4suXnalRy3YEnx25F8fRrtPbiDI +heH48rQaVTVwf4sgZi+KsISZqjWf3dHr8/WEf562BEn7SLkb6EIO03X8rCUk +2uyhjaGXJvU+6btgCX6RWaGamgKC1i1j1VexlhD1cPf9A+i9w/ciGy/jeF+e +EtxGK5WnfKxOtoRVaWt3TP3zfWCUpVtC4zfDKF0tPB8mCW4VZlnCi4Kabl90 +oObSJdfzLME0q1rnHvqAS39A9g1s/5p+9DT65q6S3vTbliCTpDJuoI3zvW2Q +llKE/aWf5RxBDzpWliSVWoJbnGdVOXr1trh1iRWWoGX+WGcW3e5QkXS5yhIG +LFPytung+46flEqstQTt0Ik1x9DgTzqb9MQS2q5W5lSjpTayRFOeYX5dEdUU +2oj18vGXc+kv8Ps7Ou7vRDcdOCWT/dIS+rxWm55E+4XZZl/rtISimbGBx+jA +gw0GhW8sgVJrdFxEF92l0FraawmnM0RU6OirBwp9qgcsocbLpuksOnRxu0zj +sCWcEtIJeo6+cLuntv2TJaQbR2lKbhIQ/ngpBvZ9xvh+d/9gjn4UMb5p/Cv2 +V6Ql+xK6nJP2Y+aHJSRbVLq1o1/wTtYumsX43dDVldETEGQ1flyW+4vz/0Vn +zgr9NoF6WH0+Dy7Mlb1KQtMDmncbi/Dg971nt9+gVZvfMszEeRD6yf2CwmYB +Yc2jZ6R9UjwoC43zs0cXXxmnBUrzIN/U1P4q+mJFovX55Txg6l4yG0Dn3lY+ +lCPPA0dxV9Jafdyf1/QnVCrxQOT+MxNXdHOv2pMOFR7YL6shXEPrvWTPm1JF +/6FQP6GrJe8yxDV5MMHdy9U0EBBsnqRmqG7kQfU3CRdv9Ca6lxB5Mw96H7BC +7qBFpfwOOhnx4MdZlStf0QWFYhPh23iwkRDzYLMh3neGzgRmE3jgVHFpMADd +cJb032MSDyS7NZaUo1WvxpeN0HhQG2xPmkV3U1oPiLN4sDh8Q+h2I1wvj8z0 +NrJxfM8vPghD2x12W2TF44HW1ti/j9DKHw9NhNjw4MQtHfqCLQLCt8ePB3Ls +eOA73zOJgi54V/Gx2ZEHK1bvnDiDDlp1/S/fhQfRg/epTWiDlI+qKp48eK/d +kr94K7Yf1eZo7s2DysFTiy3Ql6GyIMSXBwWD747Eork7hCRuBuD8/fd69BX6 +8aqZkDdHeZDI9N+73FhAkMj5NScWxgPRo6VvbdCiJc5J2yJ44B+cap+KvmF1 +lugTie3pqQ33oj+VPJmXHc2Da6d2+ylvw/Gs8evsiuFBh+Xmhc7oNvHRqsXx +PJA5WZqeh24VDa8kJfEghf9+2yh6vC2xJSSVB32xZf0a27G+k04KSq7y4OsW +o7PeaDuHTMOpHBxvm/OWu2h3Ov28xnUepG3f8fkb2o3ROeNWgPnk9PiawQ4B +YaAxKzT3Lg8+qM66B6GNbUVXDJXwoMKnX7sSvbrI+blKBQ+aVgf8/IPuypVK +cq7iQcDqh01gIiAs2eQSklfLgzrL0qyTaJp/TdDoEx6cy94X1oAOKwm5qNXE +A/lvtY5iBNzv9kzX+LbwQGXDazoLrf7jlHh5Ow8YOtmGF9HX9M4enOviQdjo +Wo12dOKE3RTtLQ86TezXygLWZwW76Nh+HqxeaaFigx7rHYR3QzwgOcyqpqK3 +hJotUx/lwVP+3k196Og9M/MCJnhwvOnEzjU7BQQNcZCs/8KD8Fr7XS5oxx3h +BtI/eBD/WOB3DS3fvCLE6Se2/9AiYQwddM+5794fHiyNc6vUJuJ9V6Zmr8h8 +KyjQ2TF6CK2/JWput4gVBIV0yJegn5xVrC4UtwIPJ21LAfpF2ptU4f+sQOwF +PdaYhPVJfVXynmVWMJan1nkMPbuIUnZPzgredzUp1aKDCXe+L1a0glrTzT7C +ZNzf+BUcd2UrIEzsq6ehz4XWt9Wtw/fn71I6h24la/iu3mAFES6yx1vQHqOs +zce0sT3ptOGlFAHBSjVa7t0mK4hLmeBYof2HQWm7oRWsGFv0+Ar6rm4bLd0Y +25+Y3PYOrWKclDBnYgUrL2ZXrKZifHf/EHYmWUFm1dodzugzkqbJT2lWIOt6 +uCEf7fNzmqPNsoJCvzirMXTZJ6uNCWxs71X4mDYNx9fWvOk3zwoSAoinfdFZ +jyt2u+62Aktq5/pStNLCY9da7a0gZ/O25hl0Nz9QYZuTFShr/U+hnYdD2UUB +ABcSkqRNIiUkRNlCeE+SkCXbjN0MY1+zJaFIEkKokJSs2UuWQiSkLCEJSVos +KYpkxlbf+f78Pe/MO3c599xzPAKCVLX/r+/Zq/KdzKBJMFLiAvqXzrUzW91x +vHSXz8/Rsof9KJHeZjBYIHJ3nQ7WG7Pcp+f9zEBqd43DSbTEvZb7jkFmIKgv +ciABXXKdwTkQYgaXhdxWetHyGhzXT4abwcuomJ5tuhjf2hbajZfMwNMvqtgS +/chTV1QxxgyevrW9momWvq0uVRJvBsqZW/w/o72+37QRTTaD2voCithJvF9S +ah5n3jQDDVEBEzf02mXmozsyzECi1ftkKfrE/cHfKXfNoONajs4cOsf0Tu+m +XDNYPFurr6iH+Wag6kPCfTMY96kkB6OnFC5u3VhqBndckp2fohXSnIMTHppB +jgkplFmfTrw0fcG1qdoMnoj8S9VCt35Z25lcawaPuuKfxKBnv0XVbm/E9dFk ++9yF/nWodCCj2Qwig502bjbA+/ThR5G9L81A16Fcg4xWjz5/t7DTDDx+fz13 +C/1vYfakXK8ZPNy1tvYjOt/z1r76fvz9wU1MIoZYX4ePymm/N4N+Pq6TLmjt +edHTfR/NgKtn/lYxurek+yP1qxmk0TvmfqEPNh6/8GvSDO6HXzdUOIXx4TRl +fGHaDNY6Gj48i/7KLGK+ac4MvG4u8z9Fi+02T8xeMIMK7ltXmI3ohM+ZH8uK +y2Zg9kz6rxZaflLrVvs/M/ibWx0Uix4N7vSispKAUqG4+BotYT8eyGAnQcpo +8fktxnQiikGvSNxAgo8iO7ks0IlNLmISvCS4cyYi8za6y/9OV/M2EuR1f1H8 +jM4eYy6h7CRBtDi8FTPB+W5ZerYqhM8DU8+6ow/K/9iQIUIClkfTe8vRKulw +7ch+ErgPQt88ek+Lrd7wARI0f0yKUTalE24OpUSYLAm4Gr9qhaHV9W667zlM +Amv/wxzP0RrnwrtbjpCAaSG2Z50Z1huCb73cgQSf1L/c0UM/jVnS4j1Ogkwd +df9raDd1S4snOiSI5ck06EcvfLHOczAggWA8i8xOEt7/xu7S3CYkKKz33kpB +a8bMzD4mk8Ak/cuaXLTXI8NZJ2sSXBeizH9Dm+9nSG2lkoBdZ/yHNBnvF3ej +3GZHErBuPvPdD50h3GIZ4EaCsLObf9Wg74rX6+/zJkF3UN3SKlriYnbYkB8J +5jf4rT9mjv2l7efp+CAS/FVQEo5Gh235ekszlARD01xEJ9pHavOV5XASSMjN +UXktMH+RhyorokgwzPIthoyW9skR9owlQb7N3OMM9IOI4df7EknQqb7x5ye0 +bPN0/ZcUEgjlgcQ+SzpxKvnY9N00EmxJuuzugX4apmNrl0mCR2vGHj5As4L7 +JqFs3J95CyY6uq92y7rRfBKkuU6YqFphvbP2IXGvmAQbqPEl4ehdFmW1jg9I +MDZkuOEF2nrv2XMSVSTY/07Kj8sa+4mVc+d/PSHBE5LYR6P/XSDSVt2A47FU +M7qJ9ucbNbvQTIKaz74vh9ELLjv3674kwcXZFyeEbXB9x45pbO0iwd5otQ5n +dAfbi6xPvSRwKegjlaC7fHm1y96RINc0fmIOTVpMVggbJsFEvHuYki2deJ7x +2M3gEwneWXjuDEOviZ6dEBonQUJNytPnaGJbYcncFAkelHx25rDDeOs1qmv9 +SQJpNfPthmh2H/KWjHkSOLktdKSgTbr3V/kukuCU8tPoIXT5WqV7un9x/UrK +dXdT8Hwbzw7sZSFDREcXrxNaYG+L5d91ZFBM3/GpCB3Mu1d8iIsM0zuTKmfR +bN+Cj1ZvIkMSSTnxMJVOzN9Rzb++jQzthjynQ9HDVgMWATvJoL+Bz/w5esz3 +qQVpNxlmUoyOc9jTiQuudvlKomTQmK5XMkQPz0geE5AgQ5aArex1dN/XlANr +ZMhQuV9O9j1aw3q984QcGbp2qivtccB4SmL61aVEBpGl85rO/3t+rK1ajQwn +OhZJJeguwQNzWRpk2Jhe7P0b3f/+hMfVE2QId0+LV6bRiTPiBYeD9cigpfOs +4jxaVrrR1MWIDPeOiH5sQWfqMDeTSWSYPNnKw+WI9RXTp0vaVmQ4eDFX2xid +uv51ugqFDHemnkelok1JBIu0IxkgTrh9BC1Mz2kQdiMDq2/TVlEnjAdFv24+ +bzIw5+U4uaNVrgoq8viT4ZPsq/oHaLec7bPsZ8kQtld+JwN90fjtGpYwMrRE +fAlTd6YTR+69cvkbQYa/VoOTkWjBLnex5cvk//9ebdGOjoIDRxbjyJBWlPF6 +kwvWU9cu5jOukYFXxUPPHN0Y88V98QYZHHyjXmei6ySbopdv4fipP8zH0Bvv +pvz9e5cMD7fcmZR0xftWs7uTJY8MHal3wnzRAflTCxxFZHBZnuF/jE6NsQje +VE4GTd34+n/opZEkc/5KMtQmhzlpudEJRjNXksgTMvSONW69ig5PVtt3sIEM +qoak9jfoDZ23+NSaySDwkbjM747xuz/T6eRLMnDmhOlQ0bwptZususiwvXQz +bwH6h7A7v8cbMlRxMX2aQQfuFQkPGyBD6mvNKgUPrF/4bLWSPpDBa92XayFo +t9JEt/zPZHjT/N7vOfrjC7mZ+glcD76D1pyemN9CG3re/sB45f2ka4TW3Fa8 +9ecsGYjWn0Qq+gS77xMOOo5P0+bIR/QwU0yj6AoZftyWUBPzwvv4s4f4sTXm +YDtuftwT3VafPEdlM4dBmW8mj9AD/WeEItabw0rcsMsyOj4/qSybxxz+8shH +anhjfA7YZLduNQfl179yr6D1dEyWp/jNgev95q5utOuG6Wqe3eZQpJ25st0H +z6tr7uBhUXPQkrp2yA59sWeBQpEwhxPp0x556I7fVgYxMubwM+9R6TRa8JHh +vUp5c9jmMrEgfxrzi7C+zWdlc8ibizoegha89Po8D2EOKtYp6c/RIxbGnKBp +Dref8Cxw+mK/Ymi06qNjDtoiq2RjtN5JbYtsA3OwLLNsTEOLOlbsemdiDn98 +JWQ+oXvHuQ24LMyh+5JnjrgfnWAxfTehYWsOh/+J7PZBF1Cv/Ah2MIdNdKN7 +1ehvi1nWj1zM4VPkH4l/aFDLVPrpaQ7Sz3ieaPnjfXR++YKkH36/OccwHs3Q +OazoGmQOM3kPv79Fj5i/Ni8INQfxiCPxggF4H9w9+m0ywhzUvOGwI9pIj2tS +ItocRi83jRejQ2tLzLyu4nqMN2XMoxfCcmQrksxhd46GhWognVC18z6/eBOf +D2sIRKLZbK+qHr1tDmz3m8fa/3d5qFvMPXNYFX1ZufkMnVB83sDxNt8cDLyM +4qzQfspv+PeUmMPCbVvXbLTI+OFMr4fmcK97Vu87urnfM6W+2hychLkOywVh +PBv9Wd1Qbw7fy0r3nUMXvjF4b9dkDiI3hnY9R7NwLUtVvMD5zyUKrD+L+W8s ++Pe6TnOw/9S72wT9McRQxrbXHJ6HZ0neQqfvWxqtfGcOHb9WVb+gp/1W2Dd+ +wP3V/2YqGYwWHch3/Yzfr6T5+aFXlDY+bZkwBzft06m16MnRvXp7p83hqChP +M8s5OhEXnWocMYfvd9dYOIlm7v3Z85luDq5HOGRS0N43i19prppD5iNHr2F0 +34SRWgGzBYTQzR+JhGA9sNFBYgO7BTwW+crkiaYkOCT5bbCAGzbsppXomd3v +At7zWgD789aSVfSzyqNvNfksYD5wN7dWKJ2wPLvvQZmgBXxO3xYQj9bu4eIU +2GsB54wKP/ejd5ACR6+IW8CG+mGSUBj+3odJ+cUDFqDBVNbjjCb5flvnJmcB +werCJuVoO+tVi2ElC0hNP/yegd4mWCh5St0CmJR/uR49j/WFe0BoyzH8vpr+ +vytoVpUxQ1UdC1hoN7zVi54sP5/9yADHz7GotvMC7odCe5C0qQUM8OtOOKCd +XAy671tYgJqo5s1idPnexEIxOwuwNJjU/4MWOLOdPZdmAQJ1h9erh9MJm2L3 +byJuFkBJkXsdhVbU3WKY520BRavDaa/RKZvTlPcHWMCzXQrufBEY78wR90uC +LWB5l9oxKtpYj3xH7oIF+Igu7CmM+P/vc1k7ay9ZAKsldd1v9KOvk7s0Yy3A +++v530cu0onPLVX3uxItQGfaeDwSTRNOqbO8YQEHb7//2ImWNuY0n7xlAbyC +O0e3RdIJ+vd7IWeycH7XeSfs0NotExLs+fh7h57PF6D/jds7pBdbQOMOaY45 +9PX0TDHphxYQHmQqcuQSrq+zaMDzaguoDzqsFYn24owwtKy3gDXHB7w60boX +iKq5Jgs4y66UuS2KTiSv+XY/rs0CImbIfXboxjWckuJdGB97lTfdRwfLSKu0 +vLGALz3DpnNo1qBP7xwGLeDSPs07Ry5jfmIrZ2X9aAF3Tvn8ikTXE2LPcr9a +gGOwvXYXWrG5e4POlAX86dmZvz0a83Gg6vfpnxYwGXmbi4p+4rNgkfLHAjKe +TQYVouc44ixVly2gpvLv99/o4A8x02NMlkAkjjqqXcH3Pb2w+RqbJUhdSBiP +uvL/36eXO9S4LCHpEZdXN3pOPIb/xyZL2G9jsbIjhk5cjXuycmu7JUTfD7zm +gNZ7tNNfX9AStr9yPFCCzsxXDWfaawl6P/d1L6DZSotFKsUtYU7n6VmIxfpJ +b9nWXdoSLNZLSMSga07UHNwrbwljNI9Pb9B/s/zSh5Ut4VJ01B3BOKxnbtZn +3CQswbPgLM0ZPZEnpmR6HJ8vaB18gDa9RnjynrQE2byfzMvoVqM01d5TlnBo +yn9Y8yqdKBZtyUsmWYL4wru6eLR1lGkxydoS2lZ35Aygl2QG9XfaWwKngmqS +cDyuh8BY7CdnS8jsJi57oNvCOZ3ve1rCLKvYxSq0/cj7j75+lsC/7tclpgQ6 +oTP1fUHtrCWMc91J0EUPZHQWc563hKsn5e+moG/IbGEejLQEj8Xy6hF0zy4T +ekGMJdzU29YvnojrI7LranCiJZiGOC77otMPczTr37CEjQ139tWjuW4WZAhn +WEK8Xqvlumt4n9Qmbl/MsgSS9VCKETrOgaTQk48W+/D2FporPn6hsMQSxL68 +FhxHqwR3WUVVWIJNe4XHwSTs5/OLHB0eW4IAX0xTMDpzqHaLRgO+n9lUqAXt +ufW6K7ZQ0NvMe3FjMub7tE4aa7slOKS+mLZA/5hdZpvsxufVfnY56KRvVac6 ++y3hlw3fwAyaEX1d49GwJUy2VJGVU/A+EJD5kPHZEoolTo1cRC8d3rnn8qQl +6LaNuXeh3xbNcvvNWMKroSCmHdcxP1/VzafMW4J7JmeGA1pK7umU4ZIlMJ/K +UC9F71UdGwQmKwiTkplkoGMizQPk2Kzg4enm1GM3MH+LP6jfx2UFndY2p+LR +U0nRFYK8VrAsucw9iM5xCyJv5bOCHbvu9O29iec5nb+Qe5cVBJzWzfJC+5pw +FHOIWMEFx7/+j9H+bB9t2CSsIFK5zpA1Fft3D8VG1oNWIHvg0iFDtO2Fwjes +ilawcMGSPz31/7/H96eyqVpBr78a5xh6nmHGw6lhBaArs+ZgGubXwmaVjdpW +8ProoX/B6N15T/m2GVhB4G1N1lZ0ovpo4S5TK6jLdOPZlE4nnNe3zopbWoFI +dM5ea/TcBNeMPMUKvt/6rZaPNlk0uqvhZAW7BC3s5tBJebIcxh5ow/7Larew +v8rQ2+/gawWnAjyqo9FnO9TWBAZZQcsbgZk3aJpvzrWYMCtIKp2UFMqgE7+4 +hN7fjbSCVt0eHze0sK3eSE2MFfz+8a6uEu3t336rN9EK4odWN665jef57pEt +MzeswNdC000P/TBUVXv9bStwLytuv4lmfPNUksi2guN7leS/oJ+x+4zp3rcC +k+WJbOlMzJ+6Xww9y6ygI6yePxjdRHUJulaJ4/3zOLUFrah316661gqoeSOC +m+7QieP6Umwfn1nBtSGpQmv00HSJB3ubFbAO5aoVoIfXvEiW68LxT+sO/Ea/ +yN0RQumzAiY7wWDiLuYLVW2xhCEriDqza28sOsPzT1LDqBWwhRu+6UczZJqb +ZsetoK3lQYxwFp0obSRXiU5bQWOilo4Xej7LxMvqtxU0S23c+ATdd9fqe9Ki +FYiNcQ2vvUcnSvo2S3f8s4KctUfLjdCjt3cfXsdmDW5DxbG30Zq5Yus0uazh +W5mR1zf0yQ+vMiN4rWG296C5QjbWFxce/m3is4aHiSd1wtG62y7uWytkDXGK +2Uc70aU+n3foiFpDE6/y0R05eH7zAvvjJa3B3Y9b2xHdITBu03/IGjbni5Ae +oDkj3pULKVnD6EqI+yp6c+fsazd1a9jUzBetk4v59/hwbbWmNejoLRZdR0ec +UQ9gO2kNAuNC7z6ho440rpCMrOHIp6sc0nk4/xoOk/tka1BM0DwWjNawfR60 +amMNz+B4ZCvaeOK6lwnNGppPXOvgzacTFpYSCkVu1vD5z34BO7T7eolO1tPW +cPc2j18ROj1V/TDljDXEX9PqoaOLv2/yrw/F94l0KmoWYH+nahApEGkNYYW5 +2YnoxY2ZLqEx1tAW2LP9Q8H///9TvGc00RoyPhgl77+P9cmLveWaN60hRk58 +WyB6WK58S9Fta4jsNLvbhK6TXjXcnGMNX5mGD20sxPz4pMo+tNAa/gnXvbJC +2x64ov+t3BrYYuhuBWh+kT2byNXWUBWXwPsHPRQjWdpaj/MPv/TsaBH2N3fM +RJWarUGzYehMPHr8q96ZolfWwJeZqPAerSnXkLO7xxqcAgqW9hXTiQsVlqU3 +3+H63N77wh/9pr8zhWfEGsa9WW49Q8/ZvjCP/YrroakTyF3y//lbWFr33Rqs +AxbMrdCCcpwhUbM4XiuuYwXo7PiHw2wMnL9xnPwfNNXnjuCVv9YwWXHmgEYp +nZDbF05sWGsDDUOvDySgE0+xH0tebwMpwjcUhtFeg2PiO3lt4Md4u+b+MuyX +/r6azeGzgT8Xfa0C0RKGrpkHhWxgySz27HP0UpGvzFNRG+B8sv0OTzmdeKWR +lqsvZQP+G3Z02KBbEhLWfJS1geySRKYidJ0zu6avsg0EM86rMtD0H1We68AG +RvUmzx9/gPnwqsH5TC0bkOJof5WE3rXp4tnD+jYQFbdfcBQdFs9u02tiA+8V +15458BDzj3uyhLelDXQ42w0Eo63tBz5voNrA0Hnlo21o09C4qFJnGyj+mPJg +awWdKNrpuM3IywYMJn33O6D3zmxP/uNvA2eX+wrK0Qt0y9Vb52xgKrhO5i9a +9epXM80IGxB4KfH05CM6kWfmfnsm2gb7iz2maWhj/by+9AQbkLDOmh1HN7fo +rWjfsIEM5+Ib8pXYH9pt27qYYQM8r48di0Db8tQKFWXbgPSCC/01OkT0t4Bd +oQ2IaQhWCFbRiXfKZzZsfWADvdvtA93RkQTTXEe1DcQPKx19jJYIO9Ee9dQG +tBfubV5XTSe2JrGla7TYgGZ71rQputeNbsvUYQNHmhRf30O76vXxN/bagKCG +Q80vtFM3uSt80AacHorfV6+hEzxjqsHHR3G9gqOz4tBcvepC6ydsoIYlMmsI +3XFwx9PeaYyHSoH74o/xfp25TM6Yx/EumdQEon+anPjhvIzxoSz5uhnN+Lc5 +VIHZFkw/Zk/zPsF+6FMh51oOW7hn2rCZik4/+vJ6/0ZbEGI9f7QMvfm5lFDh +NlsQsfgauIoWsk7OPy9oC0cbflWcrMX73rxWhixiC/vu5TLS0JJ2DjUHJW1h +ixfr8Ul0jaeuBpesLTAncqcp1tGJ8HcyXd+UbOGpf8t8JFpA7431S8IWz6+E ++Rt0fPv8TKGWLbxRI57vqacTZx6aXorXtwWOv6yKPuiHjyt2+5vaQr9yaPlT +dPp07zMrK1vQotyX3fAUXennetzeFiZHY+qs0BndZL5DrrbwSnKvQSE61Pjo +610+tiD9wG+CgR5+MBfPfcYWbnwKjT7RgOfxqbQ5U5gt/JA+dugGWiWtRnI+ +0haCOVs+fUVHNZpwTsXaguY4a7pcI9Ynm5rnPyXZQrE8q2UEWvRp5/f3abaw +6tK8pwedbqTw691dWxj/ozUr9Azze20Dc3++LYQYXm3zQheryYr0l+L8p1Lz +69GH/I3NBiptYVDZPZ6rCePDbvzGcJ0tPKtYG2qFDjd69O3zc1t43+nqV4je +thxh8P2VLXxbST29iM7z3NH6p8cW+GtSzmg/pxMNPIQR8yCOP8D20k00U1Ht +L55RW4gqpqePo6fsyLl7JmzBvo9ao9CM/VbZkLf8jC14OmZ+iETLB3Ab6fyx +hdR3pZx9aNXvtTqUFVvYlJNC7G3B+j+v2PIsix0UHjMK8UXzZxZGpnDagcHB +8cZn6FdCF9oebLKDz19MN2xqxfpghC7Ww2cH3QOZVAq6Y3L47pyQHWjHtNSX +ob/fX1Lcts8OQvxe7fmHNpoRmDoibQfSPGVXDV7g+R3ZWOugYAdNw/5rMtFB +LHcLr6raQaqZYOg0+qJG+uPHx+xghX6fSa0N42u8fXJC1w54jwrExaHtU5iV ++YztwK0sQGgYLW/MVaRrYQdVjdVPJF/i/RxdTZyn2IHh/Bebc+g/i730Smc7 +EH65zN6Onus+0DfjZQcdT5nq+F9hP5By8+3+QLTZfKAbelVqdMUp1A7kuQeU +n6A3T7zTzYu0g5uuJayc7bi+zoaNE7F28Hsy4J0Fur12u61ksh1s55Z7eB+9 +YMosejrdDuKsxlMW0V1Mn7Y+zrIDLtNr53U66ETgz0uHWO7bQV6wgm8a2qf6 +eZBhuR0wjPs8vqHnjD1/3K62g5NUb2/lTtyfraSrM0/tQFmCPfgK2v6xkfXR +VjuQkr0bN4gOpslb3ui0g5d/lfL3d+H803ovT/fZAWlb38uz6Owja8a1hvH3 +/vrOv0Q3JF8PuPfFDjLVt+/jf00ntEwcDzN9twMZmyaqG3ouVkuKMof79zkg +5wl6smKjWdOiHbCR5H5ydmN9+/akRTITBd7CylErtGz/0D0tVgo8lOzNKEKv +lN1dt7yOAlN3qv4toy+6ckSXr6dA7L4iN70e3E+VcBHnjRSg6z34kIE+Hev/ +YddmCjSmvzKfRv9dNax4t40CWzMY79V66cRR2oW8a/wU2PZB1Tkebd3oW623 +iwKF31KXRtDBuinj7MIUIAy4b8i8wfPqbSzfKkoBvtRM5Qvovk7+rMj9FHhh +enKsG2182OqA5gEK8PBuS9vTh/ViRfgg6yEKXLBlMvNFnwpbyW2Vp8CWl+t3 +PEcns6gkX1GigMAn5bHNb7F+Hy/I0lelgIxi3GMaOmOluocXKNBtznqjEi1t +0r938BgFTAazg9n6sR6R9Eu9e4ICaToezmS0/8KqjOtJCgyo2FkXoP/ajk/J +GlJAigizWESPHst4uWpMAcq3V7a677Dfr0zoeEmiwLkOLY9b6DXLB+dvWFLg ++rnf4T/Qstd/gaMtBTbE9t5RG8D3KRAV8vYUCEwYa4lH055fPbnWiQKJgtLz +H9G/LPU537lSIPVVicShQTpheOrnz/ueFEiRcnKNQHtJjq2EnqbAq0Hz8jfo +wuK7h0wCcD9dLv8TGcL815Ycv/8szuf0b1Iguif/4JY1oRTYHptZ9QLdUfqt +afACBZb1Y3bteI/x6nfoVkUkBYaMa+Ld0HefB9+Oj8b3y0qsq0Nvz1Z65RZH +gfDLny5vGMZ6yWBkj3Yirs/URx479BHljzliKRQYp4vdK0e3cJaZsKVSwF6n +5gjzB6yfs59JT9yiwEzw9Q8m6CT+WMWXdygQLN54ORet23jevTibApdnlFXo +6Gb+LV2J+RTQdWP9oz2C6zdZZxtYRIF5pT016egjgj8Fbcoo0My4dvEHenxc +iOt4BQVKTpiT1T/SiayS5v3S1RRYag6QS0Sf2WByhq+WAvt4fmz/jN7wHv6w +NFCgtq2OVX6UTrwXY8351UQBpYRvi5fQYoqbI0da8byw+tPfoS0vf73e+YoC +nK9sVvd/ohPsb2cG67soQAsvWB+CZnDfP1XWSwGJTjPhLnSybcxSVj8FPhs6 +H939Gc+bKOfA9SEKcJWMuPiiLZnvfosZoQB/dH1qM7rh1XOZ8M8Yn5fW9mz7 +gvdj7HRh0DgFKnRrNrmipeKvW52eokDPuXeWteh8kryG+wwFjBtoxRu+0ok9 +dzTsnOYooF5LZaOgtW2VK+wXKKCyrdvlIVqw9Zo6ZQnP45kHb1jH6EQq0bLG +7i+O//K6E2R0jY/+qi0zFY5Pv2m6//9zlZxDFDYqxBnznVhBz1Qcu2PPSYUD +lP43BuM4f7k8LSduKqQ2bHTNGv+/X9USd+elQuTOVrZ59NyzTM3T26iQtGu5 +WGsC65W7EhlB/FQo8Cu3SkNH7neUCd9Fhb7WCd4faNLgy78xwlQIbb7Xqz5J +J/qd+zhviFHhD9+X9GvokTYm03sSVHh3utD9K7pDqn2oTJoKZ0KWNA9/w/Oy +pvzOU1kqxE/0icWgL89IZncpUqGJemTTB3Tiu9qxjypUEE2XYT04RSd8Pww7 +z6lToQ0q/kWgP9tySbAdo0La2jaWfnTGwgupnSeosJDmzbP/O51YG3zV59BJ +KjwuLRINQQetDv3RNqTCzJ/QY6/R9T3S9VQTKrzcM+kq/APnH7nuxTkyFWDs +e2oA2mzsy+abVlRI+R3T3YbetqSRU2FHBbk1L3gEprGf4cgJ6nGgQsmzLAtv +tPzNqGu/nKmQNyVQ1IS+5+z2k8eDCqMHVdZum0GHvE6S9aGCyMllZ1e0+CbF +EDN/Ktj+pL6pQ/fl7Co+G0SFy33eJ3h+Yr0/x7H3Tgj+/kOxZgf0yO+gTy0X +qMB1NFqnGs305cfEdCQVPijdeMf5C9dTcUJx+xUqsJoYe9mihfK/dR29SoUt +Ok83PERn7A8s97xGBeO37yvXzmI+/c09nH6dCloPi50s0GvOKhq/TKOCxC3Z +3SVoYx/vzYu3qVB70vsz0xzm107V3RL3qHDqAq3EFM3UvOesdR4VMv5sDi9A +B7Rl7UospGI+O2+zgl6bCJtaSqmwK7VA49RvOhHHHWG0/BDj6ei1gznoueCp +j7LVVFAUObKPga7T/VvnXkvF3c0X05vH8yCr8S23AeM5eVD6LrpF6ojjp+dU +8LjbQ8yjJU57HdrVRoVnE9cstP/geM9SDaw7qBAoIRCSge5iSa+71U0FbUnf +/F9o2/WZIcN9VHhafP295gKd4O38Hb9rkApvT0fzpaGb2vfMUz9QQV1dz3Ya +zfOqtDjvE463/3PxUTqdWN++5/GPMTwv//RZb6BLtzPzy0/heoYl0KbQw8rv +XofMUGHfjvud6gyM92Xx961zVLC7kUEkoys8zqvy0qnQUef+ZAI9MmI/b7tM +BSVTPnXVRTrBPGnFUvKPCjdFcl4loo/b/nZdYbGHwQUeyhh6p81DcX12e8hI +pvxVXsL64rgw3OGyh8MtKbnxaFp1R/kcjz3km5WZfUHHpx85d2KrPbRtfMit +tIzesXjn9g572NmQ2R2HDsxOEPojaA9XZM7c+oS+/e3Kkr6wPTw6oOatuIL7 +98X3UIGYPZhGzZ2MRW/vfNvMIolel3ZoFD21X72SImMP3WGyuxVW8TzWHWZp +kLOHztrG7THoBwkGZbuU7GEh7jjfR7TlPPeT86r2cLepaY/8XzoxdGGtyGew +B84DKvJX/v4fHw3Tx4/bg8/tEsMRdEZ92/YiHXsY/rrLX+4f3ncLZfc2GdhD +39uErGj0Eo054awxPtdgHviA5l7R//CZZA/w78x2OSYGETS/O17fCuczMmcX +jbbu4rj32A5/v9L/wQf0wKmbO/bR7OGP+b/1cmsYxKkr5n+uu9iDdmaKdzTa +q2NYgc3THtKtFIc/oDkfVbw/c9oeCpzHjeSYGUTSXs+JqQB70E/L645G39FK +s7ALtodnbUHmI+jR+DbZt2H2wN9l+02OhUF0V8X66V20h7MRlhevoLc2+gm0 +XLYH9QZPsY/ou/ObpIk4e0i0Te+VZ2UQXyboBU8S7WFJ5fPlGHSkf/XVw9ft +gS5zQmsU7dXwebgyzR7YdrRvUFzLIOwVuG4qZKLfeI/EorliWuuq7tlDkMrh +mk/oH/U5Bsr59rDlwN5bh9kYxMQOFf36InvguaJw+Sr6qwz/Y41ye9h3wCfk +C1p+aCDp5SN7yGP0BSuvYxBdapzvjR7bw7F2x4gEdH+nRtL7enu4dkkkeQxt +rLH9sVMTvo9jc8kRdvx+psCp3624/opy3dfQhXKT5PB2nO9s1MoEWiJtYw9P +tz1E7OSRVedgEOYV4nVZffYQmNrtk4IOqni5Q37QHtL0XtVMoU22Xpl68cEe +9AT+cRzlZBBimavSNp/tYde0D+0mmtvu6cTvcXsg5expm0YfrLbfGvfdHp6I +b1bQXM8gpgwjakR/2cMO6omidLSHUGVP47w9iCs0SsyihVySqTaL9vA37nzF +CS4Gsfi40mV51R7OG10+none8+vRRDqzAwh6DI7Oo+vlJD4eWecAVa1nLp3c +wCA0FksNR9Y7AJ8eTe4emon5g3IEjwNsm7g7xUD/oBhk7tvqALkXZYoMuRlE +jv/t0K4dDuDKzRuQh46eoA0E7nIATX9d7VX0yQqibPdeB3hxb0jEdCODmBV6 +ydyxzwFUo5s5i9BLTRlvgqQcwHcz59IaHgZBiiAJ7zvkAO1yJXPm6KprST/7 +FRwgZbBsvgz9yHf6SLSKA2j92cy0bhODGKezsB8hHOB40Psttuhh8DP9ecwB +Lpuyy1WiC+sH9uRqOwApJMOSixct0+tjre8AXF/SYh3Q/LmrR7caO4B7CHPr +E/TdsMXrr0kOcEt1gIN3M8anJ80z1soB5vkEya7oU94f2rQpDjDO9qakES3V +z3J/naMDhKwsb+DbwiAsNc9wt7ni819pZ7zReiXvFq94OQDlfelUK5pi2uKu +7+cAto9UnXdtZRC0jlEab5ADyPgfnw5A2/59NTYQ4gBHt7SHdKJdREV/3g13 +gK7411tFtzGIey8Tw92iHCB5xLQmBB3SWnZbIdYBzP9a0/rQEXoimsyJuB5T +33ZIbcf4+pAY0J3iAJ2ZqwMX0Qf1U2XvpjnA7h3pWe/RxU0fzp3OxPUgP/OT +48P1rmE11sx2gDZSgGEsWn+1vJKvwAFKt9fIf0HXPIjKnynG8abF7j2yg0F4 +6kiItz5wgJH3szuT0TNxoHSnygHURn8IfkcHZngNnK11gFMFYfuP8eP+jFtw +kBodwFHxvvottPihgna5FgdYjPOy+Y1WvflPaPMrfF9Z96WTOxnE+its6+a7 +HEAyu6c6G13T5hDe/8YBht39fi+jq3yeJjwZcIAJ7holUwEGseN3vezdDw7A +nJx1uRgtzcvpfvmzAzz+e2iUVZBB5E3pKvtMOIC2hbuGDfrXD/FMyx8OsL/I +sLQSHTGql6416wDxK6N7uXcxiLKvdtLyC7i+5D3ZTuhTHuut9i474H3FK9WA +Xj62uHsLEw0mTlU/3S6E+5Xw5gLbWhq8XLvJyge9+kLz3BIHDb793LPmJXqm +gc7zi5sGdTt/lO/ZzSAE7t3UmNiMn79x2i0YHfXzNc8oHw3oXo8OvEHfDdcL +GRKkwfDDqiXJPTjf2MeX+oVp8OR0cE8kGtKfH+jbR4Oi2jUPP6AnE7YHvJGi +gWWWQYaiMIMoLbC37jtEgz45h8QEtOs546/9ijQQuXQ0fhJ9djFlw/sjNPia +//360b34fY+BgVGgQWqZQ346+lVQu9bkcRpwlRc1/UZH7BA0n9WlwWp9y4Se +CIMILgjZsGJIA5+Zim156D3v0pzZzWgwQA4y/IeufyTivM2SBio8W5PMRXE/ +Czu5xOxo0C4TN/IA3RZ43OIwjQaPOj/KrxdjED6Emr6uKw1mmXmv09DpYU7f +bL1ooPdN5F89mp/dTzrAjwbm6fx+2/cxiLc8WwWvBtHgw8E/v3zQOeL/KvNC +aRDcVhX0Cv1I5eviswicbyiVU0ScQfyOP/Nt5DINCt3puaFopS6PS6txNKA8 +CD75Dt2zdKZLMIkGfz2mlw7uZxALvvotxE0alNcZPYpBf5nPcnPIwN9vvH/m +K9rpjkRDdBYN3t2ka6pL4PmfyXhelkeDDpqaQCqap7o0aKCIBsbaoauz6O5D +2z4yP6BBI+3x5ElJHN/CFbp0FQ2kP/z+kIuuWWxssq6lQeBb6Q//0Knxvkfj +GmmQd9pj3EIKz787yb++hQY870oXK9DaOSLWv17RIF6SsY37AH6/+PqiSDcN +Qq7rqrugRcn2+lZvaaCkWuDdhPYYOmaePESDwyc2FwlIMwiOzt/8nR9p0P3x +6q9AdI+o1A32MYxPaX7oQWsp5786PkWDAtsnaZIyDOJao9DjyJ80UE3zWb2E +Fnt/yr5lngb/OAn3UXQh80LruiUa5H/c90XlIINo3do+cfIfDQQ0DzheR4uR +41qusTrCZ0ej2Z9ouusCZZDDEa743bisewjvA+PWJ8IbHaH21t99ueiOsMdv +PLc4gjZ3XO8/tP6Tq8VPdjjC9DJctpTF+1B+jRaHkCNEXBfSqkQbX+y9ayHi +CNwbJDbyyOH9c6exvmg/+rr9Zzd09HjM7X/SjiBAbW9oQUvtmAUzeUfgy3XK +3y3PIGRtKgqKlR2h7bpi2jm0GJH0di3hCNkuatf70YwygzaKpiNsNw29dUgB +92NdYXi9jiPMxDOK4tBaa5yYBQwdgTB60DqBNq3TPBli6gi/eu9/11BkEDHN +7DYjFo5gqv+VPxPdvS5AScPOEZKX7E0X0Wwf9Ebyabg+W8RTTQ9jvDObGm50 +cwSpAYXxMvRKmkFckLcj7LoQr75eCe/LQ2tufPF3hNc68llO6PQnBz1PBTtC +qe9+7ia0XMo93obzjsCh7HNJUJlBTIcLXJa55AiGw5zrzqIfltHas2IcYezW +clIf+kLF0dGtiY6QV6O5/6AKg2iJDW6Nve4Id/wmX8aiv9ztD2O55QibN37z +n0ALtwpyht51hLud2hLHjjAI3cN8roxcR5D/zTGViT6YFp8RUOQI9c+lHy2h +U/7p5M6XO0JU5ONokiqD4P28OTKgyhFSzhU7P0SzilUpM2odoXuGw4hbjUEk +7F5uDXnmCMJifZpuaOmrJVIsLxwh1nXDsVZ0WEqqe2yHI3SsqTkprI73y6vL +kVt7HSFDqd82DN138ERQ1jtHUDJ3CxlC/1XIPiHzwRHeFQXmKBIMoq7C5ffT +z45w7fxqfxJaf5YWcmrSEZqE1mz5iebIdvzyZRp/f+ii1UnAeui70v6zvx0h +buVyST76oXWJAc+iIxzv38jJehTP8/w10/t/HUG8WvA0BX1TqOqIJqsTWP6s ++FyHnn/yjfUThxMEdvfZ7tBgEE08q+XnNzpBcHHEWABaeLgRdm91Avn+hsBe +tOEJtsomfifwzIrnlTmG+WYqk9t5txP428/WxKJHX1sbbBBzAnuvKddJdI4f +b0ClpBNY7wwRPa6J+ehp0kW7Q04g3VjwPQutuf5B8PrDTsD9yLfuL5q2/6jV +Y1UniDccvml1nEE4m28Xc9VwgvbvE6E16Bs67MP82k7w6vNNr61aeH8JfAvt +0ncCpYQZV1/0kEsCV6SJE6jrzXi/Rucr9EQfsXCC7MC0C1InGIT6auTveVsn +4HKfu3UFrVcarl9Oc4LCy8vPxtFJhZk3Pd2c4IdE9dwxbVyPFxW9Uj5OcOXR +Puks9KRe2r/pACdIjDT0/4ueXdwn9OCcEywsH2yx0sF+glVZNjDcCf6EdO1+ +jFbclKesdtkJ1NwkLm/TZRBG6jqKbFedYFTsBMMPvW3XqnhPkhM82b7Pvwf9 +uyaDNzPVCY5ndSxJn8T8kMAy75HpBCwSKnFxaP6UDV1qOU5gwOcrPoUOkb+Z +xVPoBMVvAl+f0MP5kUK9x8qcoLxZNzwXTTK6rVRX6QQ3TH+psehjfND7VlNq +nWD2h+taKhpuMDd6P3OCKcbjd0/Rf7+zXtB74QT8Xz8/EjDA/VaqVZfsdIII +/omMYDT5wNrV9W8wfjhfJgygVRaaamcGnODS7tirioaY74i3596MOMFgh8yN +FPQFMUH1J1+doD/s8f05dM/xEJbsKSeYy5NoO3WKQbhX9HVc/eUEKVWXZkvR +dUwct4IXnGDj7k7RDUZYjxxe8XJdcYJoEoujO1rpwzUdS2ZnuNkpUfYSncIo +kdRndwbtpeOs4sbYD7AqbNPgdgYtYzItCt25tJ5TeYszJJ2kvv6KdjHlY5fl +R9s4HT9mwiDs1sGmA7udIYXJtTULvfWSq5iEmDOcL3E3ZjJlEOy157T3SzmD +0IjPN1v04mbbIAlZZxjhOhdbj95wnlF1QMkZxCrjlATMsH51klsrp+4MvSYF +v4LRpx/QHVQ0nSHVsbtiEK36QrrvmK4zPHJZF6FEYhAKCU0kw1PO0P3e0Oom +OsX39g9rkjP0qxcTC+h6i8IbHtbO4MkrJGNGxvxU0mcWZu8MWwYK9z9CHzNh +l0xycQY+XmOZzeYMIrny0PYCL2dwPLYdfNH5TWo7G/2dQerXilWP+f/90A6l +oWBniLm99uJBCwYxwvvIa+GCM6zpkatMQO+tXmrYctkZLDfFzM2gX70cllK4 +6gxLY5xHDCyx/23SqSIn43je1cSXoNkzDtmEpDlDsdeNaS4rzJcDkcLZd5xB +UjGP7IHODpJf15GLz2umOtrRzOtkuehFOJ4IJ31JawbxIdFbVuShM7gLCQzG +oG/kfww2qXGGPbu4fabQzfYB45FPneEOF8Gra4P3m51IYE2zMwQGP2i4j858 +Piox88oZKujOQRy2ON4jd9aK9TjD1FZHVVe07R/TdZR3zsDtXLT+Jboyn34w +44Mz3A9VGxe3w/N4M/Ti0BdneD0t2BGNfhv74R//lDOc0zOsn0Rr93Pn2/xy +hgXpvsfaFKw3jDiC7y3gfkuVPStAj1u3nP224gya7z/3sVNx/l+P5MuyuIB3 +3+nfLuhIWyeWMA4X4H5gK/gSHdquntC+0QVOrS823m/PIFgqGk7u3OYC/GHW +yVfQTVJflT0FXEA11/fjN7TqUL7lM2EXWBGcVdR1YBB3vrCVbd/vAv2XhtIK +0azMfw/7yLiA7rlD7OtpmA+DYhZeKbgAkckId0fz8xV+36fqAn3xsus60Nnq +VnyXNVygcubTTSlHBlHQnxE6qe0Cuygc8lfR78heAnqGLqAfVfR+Gs328vWf +B2YuYLC2Pd7AiUFcbHjGyW/tAqYRbvpl6GOU49aR9i6gnR23nccZ+ycb6++/ +XFzAcKP8tA/aj8H+2M7bBb56OnT1/P98rUFrd4ALCLsI1sq6YP0yJr1FM8QF +gvJpFcno0YSy7McRLtDWf6R6Hh0V1Rdw6IoLJGXltpq54uc/3ostSnCBk49y +PlWhE4/tHt93wwV86o6w87lhPfndOCovwwVOuHiqnEX35R313JftAmrOqkFD +6Mne37cK7+P7XYueHXHHetrh9OaD5S6Qsbt+22304U9NfdVVLhCl7n/mLzrN +YXb0aL0LsAe++WLnwSCeZ7Apdz13gehzH6yeoS+85hqxfuUC0yzXPwp74vl/ +y90z3e0CW1tWvCLRmnv4Noe/cwHmwO2c4+jkKvncbSMu0Nw1UX7Ci0HEyZyO +Lv2K+3nZx+E+WrtxqF77uwvstHq0Z703rr/8ea2xWRewZKn67oEunfLYG8lw +AVvVoGdd6JmPD81E/7nApabVewd9GMSWHMpI21pXmDfRSUxCz1OjnnpxuUJU +qc2VefTUJ3n6ts2uEJGkFk86je8PC73ybIcryDV+z6xBKx30DfTa7QpjDLda +fl8GMRcr2iC4zxXO/6v/EoK+X1dIe33AFcRvTmz/iB6M2+pyUd4VnCKnyEf9 +sL+mBr9SPuIKjXEvs7PRKsozcXNHXSEx8PLyWn88zw+iyku0XWETxz47F7T+ +OktFd0NXGOAq6nqFduA5LyRJcgW9k9t0DwRg/ocNntPWrnAv3r0nAe1fLLD7 +oYMrbL9XQptDL7G1Kp91cwVn448sZoEYX3eFazVOu4KvB0tZNfqfi14ud5Ar +/Hoq4MR/hkEIzdksDoe5wiif9P5QtKWHb03JJVeY0VVhfEQT+blfLsS5Ap+Y +5huNINwfvi0hpGRX6A8xeJKLZnozFCGd7grVwtYl7GcxPmK3L7JnucKD797F +7ujA25Mfx/JdgVoSV92FNmfxVGopdQVJ9cquQ8H43LKZJb/SFcgBP2ZT0NfG +uY/F1rmCoqTCHgY6NN6Tfvq5K7gpJ1lbncP67f0aYatXriAdzJbzFE1hmnmu +1YP725ZC3xPCIC71mI7ID7iCBzOQL6ENOyx8RT+6QhvL+ueT6MxNe8L5xl2B +rZihoheK96vr6/Xc0zi/ofUNZegTJ2I2s827goD3CcPNYQziT8OZNKZlV/DS +K/0eiL6R/DRzdY0bVJkeSxlCsx6IEllld4MMdw4d9fMM4kzmguS/jW4gFMjC +eQ9tf0epimW7G7RbyL9bewHnez2gmXOXGxxZzSx3RfcmvSNvEXWDK9paNzrR +w0ZXTu+WcoO7IgeiD4UzCHnFKl4ZOTdwO0eKuo6OM4lRBRU3KD/ckriITnSR +/WVy1A2mjofk20Rg/fP+vbSbthsMJ4W9eob+2vpoMcLQDaK5Xi+KXsR8MPvd +KJPkBjfu+SjEoCs6ypXqbNxgRdMpdAZ99pxc2TDNDSTGHvYYR2L905FT9c/d +DUICLGSr0VMaiqdE/dxA6Zv1nZ2XMD9u4A/VD3YDOYVGvgtocZ6L6kHhuD4G +UZlfL/0/npzrudE4HqmHB3WiGMTuioqLbxPcYLJV63UJ+knsVw72m26wZ9uJ +YN7LDIKTy3O/WqYbjGyuOnQGHX3t4hf/XDeIqb3x5z36zT475bJiN+Dl+NEC +0Zhf4g9L/ahwgzOLNfdy0ZvVj9dL1rrB+ximOM4rDOI29dm0Z5MbDNa1hHuj +2QfGnj586QZ3EtZH9qG7VKYPLXW7wRPWt0nKMfh7b3i1NQfw/UKipZlo43tJ +zNc+ukHNp79vWWKxf6bdtx8dd4NGI0dOV/Sj2BRX2Rk32B5gdbILrU4k8V3+ +4wZJxl9T5eLQtE8+IytuID7H/DsV/SL1mZ8SqztY2Tyx+Is2kPUTvr7eHciZ +GzodrjKIMrXDYfO87pDc+E/vJTr1kmE0id8dRLuTB6XjsX5O/nu0do878L7v +8E1Bx+RfLhbe7w6sv0r4ltDbnkm/jDvoDt27VNrtEjDfZSilLR52h5Ag/5gW +dGbZlKAr4Q76GykkyUSs92Vizd9rucPYn3/S19DRm6m6pwzcQeEoeQsdHcn9 +aP6FmTv4sLmy2VxjEIdSOsw1bNzB3Fpp7XN0b9/vMw00d8ixbOPZn4T73exn +Qni4w/wOgf0JaE++mz+e+blD3iNFgz/oAq37mifO4eeP77xglYzziVqwfh3h +Due/dTx9hvZ63a5oGeMOxvUGnOIpuL+fAt9MXHOH3o/Z9vFoPXUt+aA0tM/r +F/PoCxJXLNdnuYP4tT5lq+vYz5YnnMgqcIcp+6qaZ+inGYUryuXuQHAEaYrf +wM9flDz3ttodrAsEPsSjuZtpzX4N7lDnmB/xBz164f7glhfuEO2yU8H6JubT +O/p1NV3uIDJwbr4J3fom19Ou3x3ufWhv3J+K9/GNdT/ZR9xBNps7PRFdJvny +aOWYO0ibnrhAR8Odo860aXfYI3jWzzaNQeS2tVG2/XGHTMl8vxZ0l3a1TPuK +O5SU9l2QSsd6PcbpbQSrBwj2s95KTv+/Xz5oosblAfJvVJqW0v/fj9OFS5s9 +4O7A2QXqLQbRtvfi8JOdHtC2o+XwS/TO4udToXvx8+1CUQczsN7Ylth/TNID +dPZe/XQTXXhbK4tLzgO+mvPo/kOfM9TSG1DxgEs5xQ1Ot7F/XftzIE/DA14R +jhpdaBW3LO0gXQ844KjWq5CJ+XjlaYaesQd0nlLyvo0eWV/Yv9fSA/oIix1r +7zCI9JoW+irVA576ZHd7oHn+BKx57+oBdGH+633oC5eF/jw57QHkm41OqncZ +xHl28b7bZz2geWP68Rz0k6k/dy6Ge4DV6/uHuLJwfU7/svC44gFsO39L+KNp +ledZzK95wMThs4eG0bF5XJlaaR4g5Ukc17yH68e5RlIpywPqmHWcitFrI14U +Sd33ACaNtJQt2QwiLKJ9j8gDD0gKkOsOQX+1Ohu/67EHKH/j3zGGPn5Y/ffO +Zx7ANWXsrZ+D9/2maCOBlx5g0jrSW4ne3N5SKNSDzzufHduVi/XqbmcmsUEP +eGL471kUOuDWsInMJw+QuJuu/xO9q/Rm3pFvHjDOc3OcnIfno5BzSXcW94dO +j2tEd1UXGNos4n4WNML+fKxPh8cKfNd4AlfI/JoktMY/xXWxHJ5w4+WN7iX0 +gW+bPPI2ecL8VGGxQwHWJ+rTA807POGdivyNDrRvNBiO7/EE4a2KVxXuM4is +Q5HdnBKekPiu4lommvXCIVtZWU+gjpZnryvEeude06K1iicYJBx87oN+lP8w +J0bDEyqPK/4aRKtGhlJqdT3hoWOLxLEivL9470r/NPaEPSaffIvRP7hTecSs +PGHF92rb1mLM/zu/rqM4eIKFZKfk+f/dxIJ1pCc8+JKdMYm+f+aM6gc/T1hi +3brTuIRBWCc2huwO8QSvxb35tWgrPeqAU6QnTEn2gWgpg5AaGj5VHucJ8Rz7 +J+PRbLrVEyspnmDJJHabgWZKC8jUu+0JKue77OzLMP4e3A68k+sJHHTRgx1o +N+eq039KcP6DMtyK5XieQk9cM6jyBNb0n4t30PVZg/2FTz1BpMTlN8cDBvHQ +Y+EY5wscT3Tmkh86wll8yOO1J0hkp2wcQXNxL6f3vvOEuAADWe2HeN5eLV0+ +MorjPfva/iG679eje/mTnjArsTNLoALzUVf1j22zniC4VmE6Cq2ckeR8ZdET +TKN2n5hF18e+3fJvjRdQD3wqtXqE/W79poUznF6gcS5YpBX99/gg1zyvF+ye +/Zl/sJJBfDnQYOm30wsyeI8r30J3nyZ/+rPXC5IcQgfWVuH+rj9875yUFxxw +y7jkgxb79DuTVcEL8kpy4T2a6Z3IYKKaF3BVZXBoVWM+aaca79bygtINl0bL +0VFXj3FVGHhBDWHfsrMG43XSgV2H7AXGA4drotCmeTban+28oMKR4/Es+nFU +R2eYixeInxl6Yf0Y1++Efvqu014gerv06wt0Yk5o2bOzXsBwvbJR7gnml1Mr +3C4RXjDj46WdiVb56/JkU6wXJGpREzhqsR9woFU8TfYC4XDHr/5oNpnEZa8M +LzCvCTsxiubckpAinOsFdyPLa07W4f68YL0wWOIFPy78PVyNDmNcb0iu8oIo +bY8W4Xrsr20nTY0avMA/aJUSj75Rdu8ob5sXWJVVci6h1Ys9Lvd3e0FvXGqT +41MGYbf1577MQS8oeHg/ugdtX/RGxPWzF/A+/2Gt1oD1y5GW84e/e8EOe0fi +Pjon1VuFY94LaArbD25t/L/ePU8aWfGC4S9rZcLRmvuy31at9YaurQqq0+il +PVceJ3F7w3X/ArLFM/z8pU8svtu9YbDIIbwFPaNrU2W62xvYXNweH2piEAMh +pb0q+72hntT47zb65cFoSxFZb3i/z9WU8zn229GZhpuOeENbrEt1IFq8Kq9i +jaY3qCg0iX9Be82Tov/oeUP6u7MFhs0MIinJ6fUPM2+QEk9WrEP7f78aM2Hr +DakfNr0Rb8H5ukXVjjl7Q1HZYuh1dF0SJ23CxxtmyAaHmVsxH82/vfTjrDc8 +vLb5nxf66aFc4T8R3jDCp//2PVp/jaLqmjhvKC76+1j7BYNoPHCij+e6N4yy +S5VUopkzU3/szfSGvNmBUuE2BnFV53uUSr43nBLnaEhAN6mtyTUt94bTPo0f +VtB+d25r+z72BtkE5vVuL7G+KYn0S27yhg0n32i9QzM9P7evpt0blD0Ur2m+ +wnxlouM02ucNCXUyUw/QKd8eHeIa8YZOtudGQu0MQljucuyRCfz97fMv4tr/ +/3vdlQCvX95gWt+qt4Tu3hI9m7PoDQdfqI86d2D91JZ3wXuNDwAbJeItmvLS +xISbzQcE9aXljnViPSfxcLaU0we2+JTMlaM/Zd63NtroA/9RYN/xVL9fAMBV +dpQQQiWrJYTsr+eQUVEpkiQkSSjca++9965EQkoqymiQzKyQECKlEipUkntv ++J3fn++X+/l8nnGec85DQPfjiy1d2O9cFM/4w+cKwzdeXY9HO55hybkm5Arp +Vp4xdLTkmAZl/2ZX8Dw5FubQjfVv4oHQj22uMG3PlTCAjlwxTM6WdgVDx1VF +uj2YD3QZQ3q7XUENGjoeooUv3lmYl3OF1Nbjq7a9xvthmc7XIiV8/5cqvST0 +8s9HpeZqrjDu8yt7CS10fdqAW8sVHjhyMJx6Mf4f9T1p1HGFf9dXnIbRn1/Z +rPE3cIV6xuC3A29wv0QCpZSNXIFy6YpvNbrXSnTbL2NXeDuqKyTdh/lsYfff +BydcwU1trCkdLf3m+m0XC/z9ZefgNf2LpDjknPJea1fgcp47REG/3e6SP3/O +FRYkXCQ/ormCHk0/cXCFgejvXMYDGC/vJPhCLrlCeKIzcx26bU+FyCGKK2zb +/ZtT9i3eR5fNWTZ6ucLyiXCx62iaK9vrj36uoMouqcc1iPdL3cqgsmBXMNYc +8PZD878x5w2JcAWfmdxn02jCNxVjEusK0aKh3BZDGB+ZZ75uT3KFhuawy21o +noT7u5fTXIHtW/F71WHs3xr7Tg5kuwJ30q8zt9GWN9ucy667Qkvlhe+C7/A+ +oRTlFH/TFb7arY2NQldsZT/hWOwK9IKPyn/RsXcNdh0qdYUXfjO/7Efwflmr +/X13uStMLux7PoCWH/l1bX2VKzhuq8nWH10k3nLm6n+eusIljojQKrRVgEvr +SJ0rcD5P95N+j/lir4pBS5MrHDSeDctE25y8X13e5gryb7KvsY5h/bnWJ5zX +hftrkdHgif53tMQt8Y0rdP6bXJxAb3aUrw0adIXVr7O0Tn7A+YY5LFNGXeHL +XFHaS3T/gKmyw7gr0DwFF1U+Yv4+sHje+ivGT9Cc0220r7VZovl3V+jbuW9W +aBzz20FqmclPVwhNnwqJQT8eNnllvOAKUR83SNLR0olLX44yXIFV6WG/4ycc +T4Qnw5jJDe6VdWW+Q2cnNK8zZXED3kCnC0af8f4v+EvsFKcbODbFG9SiIwmz +os16N3C4p6wi+2WR3G9n1r/I7wb5dpeU89Cbdy5ZuG9yAxnBfXo8E3g/9vhL +CdniBmLzKedC0IbU5cRkCTdgkolO+YVmSt9clr/DDQbnRLrPfV0ku3/bvK3Y +4wacXsdE+9HHLfpZ2hXc4PZvGR/9SRwfidb8qOIGL3IffqlGl7RE+dM13aCq +bOLszim8DzeMt2zUwfeff/XjKjrq4W1RRQM3ePzXMYZrepG8apkKPG7kBsLF +jUqB6OWxqhnqMTewfPRudhZ9IHbbpSwzN+C2qn569hvuN7smo+Y0/n7aIuMN +Wujwpqufbdwg8np7kN533I/FzkPr7NHPOX2r0Yl2TuvUndygLWNr+M4fuF5X +OCYuuLqB7mXu3Gto9WO1vVkeuJ5pgy+5Z7C/Wsrpb/N1A2OTiFXBaK3Gutml +IDfIXhI0/IVW9/9PXCnCDR5+Si+0m8X3Vctedo7Fv5szrXuLvlVT2ncryQ0M +y62iDs5h/o96bfYpHddLt4KnBv29o/rPtqtu8NGRpUT2J67/vO9D2zw3OB5o +ZpKPHpFSSSwqdIPnw3e5+H9hPiYcsdN33MD0PcdAJHpL/7rivQ/cIHzS/QEN +fVPNfsK3wg1iLH5mO/9eJPresgdbnrjBh6yw1DE0k1lUD1+dGyizyOccn18k +zidTAs41ucExDkZlM1qx5tKxyjaMB+6pMdU/mL8CtQ5zdLtBl+/yplJ0t7k0 +xbrPDeKfE7utC3ie6g/UVw+5wUX98uepaNO5Ng3eMTfYEXpyJ+tfjO93XeOX +P7tBzyflQh90i2pA9aspN7j+3kTuB/pMAOOp7KwbiE8+bLdZxHzw3nUmZR7n +72Xu2Yf+e5LF5C/NDSRYDiocoGG/UvhxymrFDea4Ypafoc9ry1W0MlOAY+3m +d3J0jAcXoUdKnBQwDuRoLUDvUmz9enM9BXonjjcLMhbJOQtHE76NFNj1cqk3 +Dj1I2f03QpgCrwvW/VxBx3Wr9tG3UuDA6tit7v8WiVPCi29uUhS45+huNYle +m/xT69sufJ997z3LJbyfBTO67OUpEBl6m/s1uuX1uuuf91GA2ZARoLeM9bje +ssROgwISxt3LT9BcpoKLE0ABOYmdybIrGD8n3aKc9ClgeZJboQA9b5976pch +BTJDgj8LMtFI7GSvi98xClDVoorj0e+5dDtYT+LvBaX9Vq2ikaw32y+lW1Kg +qOqstSeazlZpJmlLgfFHWqbf0O77JWKqLlCAdq/+lM1qGln4UcJieIkC1nqz +Lv3oqyTi1UcKzke0M/PQGhpJhO8ffb0p0Dlo2VWH/tIqrCsQSIE/W28J7GOm +kZBgoz+PwigQf7XUpQRt86l2wSSGAp9/uQ9tZaERU1J6cCGRAuH9a0wz0D0P +T8xeTadA3NyZMU5WGrFXok1qX8X1mY/yC0Y7xQ+ofMvD9U2N3LGAvm0uO5pZ +RIENwVYTTmw0wrJOZ1j3LgVmKPyVH9Fif0zk/5RRgC5+L/0kO85frvhDcRUF +vA7tiXiF/lsV9N2yhgI2RVci93PQSO0Z8RP8Dfj7nwvZT9ANr/pEul5S4PDc +wRo5ThrZFTeqHfuKAia2WXNFaNeFsNYDbzA+uD7vE11LI7cO8JRzDFFAuEIp +PhW9/0rHv873FBjelvibnYtGTg2vlKZ+poC42B+nILTz8N8Gi2kKnPe9/OcP +2vXgCpGao4DOynKSMzeNzDy0lfr1hwLtgXc1PqEnQ13c6xkYDx3ei6fW4XxZ +3WXTVlGh4bFTSw+aybHO9AIbFSY2xxQZrKeRwWf5k/9xU2Hdm/6M5+jD352+ +CfBRwfKhWdY+HhoJ73Kx+iVEhRvZPCWl6F2bmPb3bKECmx17l8QGGvl5wfVq +mSQVgv7orLmGXq220T5tFxWocs0HeXlpZHp+f7G3PBUSF9LyY9DRU8etbZSp +IKZQwbmKj0Z2HriSdEiTCp3tuyK80ZdlXNRUdKjgefcfzxxaPWePlfQBKhjX +y96/wE8jcuGyK4JHqHCf0Ww5htZ71rmZy5QKsYYvRU9uxO+x2D1bbYHPF6rM +dKHd+I4NMaypwP5P5LW+AI2YB/z0/nueCnMHfZqfo3+3F1z740SF21GmHcqC +NNLk/lJnwY0KquUPx++jb4/WuNC8qPC5KXvtdiEaCbb4IrESQIUDDWv189Dm +cgU2bOFUMCvlSRXchPGbdGo7bywVeiJLZ5PQ9wqcfbYmU+GW+WcrdmEaeReh +bS6XSYWkXbVjwWhRba1m7RwqhLBpUmjo2v62erObVND5d16AIkIjWupGRy/f +poK+EHROo+VOybpE38fxOHennROlkUN8w+JFFbge3JsujaDX6zx1anpKhSM8 +4uYnNuP5qlI3nHhBhfn4WdMu9LBqawPnSypcvx55zmALjSjF9bzZ+4oKeVbf +w16gy50agk6/oYLjjFSV2lZ0Kndr1BAVVl1WpT9Ej5eL368ao4II005jGTE8 +nwFUxckvGF9t/6qL0P43KadEv1OB8evx3q3bMF5fpW0z+YXvL7StzUanlRgm +xC9SQWHtigWvOI2YfFmf27pMBXnTNM54dN/ukyfYWNyBWibZySJBI+d2X6k4 +sNYd/jv+OC8I/TnjSG38BncIv2wSQUNrbv3p+kbQHc5qMvypkpjfghk9olvc +QfhPReQPdLXX1HsHSXfw7ou4eUEKx9uiklO9yx10hag9H9FcKnacHHvdIYgp +lMdSGvPbtR+7zqi4w/vuatsB9NtXJiuP/nOHd+2bXhpvp5E/DwVjuHXd4ZXq +vf860FxKz9ouHnKHP7ZeLXo7aMTCsL6h1dgdHNMDzr5AszHd99h10h1+iTSv +09iJ59+a9XPiGXdwPmjSVYl2iTJev3DOHYxd9tyQ30Uj/4r4aNaOOP9x8/C7 +6IW/b292uuL86MO+0rtphNIqvU7Tyx0ceJ6E5aN/esZq3g9wh+DgxVxRGRpp +cUmUkwh3B6k7uZ1ZaId9dZNXY91BfbqMi28PjUTalFzcmOIOl4uVrBPRplff +P0rNcofHenJNHLI0klnwrZU31x0+y9zSiEDnHrMtySh0h/mW3GYmORopSek7 +JXLXHXYEb7H1R29x6h8sKHcHi5e7Niyijywv7pB77A4D3G29VHmcf2SfYe1z +d1B6uXxrFs1suqxzpNkdsi++TnDaSyMdg9w84x3u0OmsH/UVzVN4rcK71x1k +jc6lnVOgkXYbbQXeIXd4FL7n4Rh6cfBK7P0xd9iTWfLptCKN/PgNdYcncL1W +f9g+iNZ9/ub17Hd3GD78JtBUCeuR3Vxj+m93aF6JmexB+ysqZ2nS8f35HOcP +76MRyVy9w1+ZPIBee3K+De2s+eJrOpsHhH72ydRXppGDbQcc9NZ5wNUiD8NG +9DWpsJ5Ffg9QSDfmAxXcn9P84g9E8Hk9npkatEDuTSsHcQ+QMXn6Tk2VRnbo +90dJ7vQAPTPTkSq0xYhp3ic5DzD5/mlWUY1G+Hk7bhUpe4BF5WWBcnRh/Xie +438eIGRCPyqrjvl0wSBeQRftGJ9zFz08WXxp6ZAHXMvf9W+HBo28YCrX6zjm +AVAwfPkWek8/r0COuQcsCd+cl9DEfLo38IOLtQdkVUcm5KO38RTd0rf3AMqu +RLWt/2H+yVN3FLvkAQvSzxdz0LH7f8ssUT0g95xoh7AWjaSkh8+N+HrAqSv3 +y7LRxTZFVXUhHqAT5ntHgGD9fMAdUhTtAbFjEZXpaPlaz2OJSR5QeHmgjxew +nqy5ttM30wPif7uxpaDfKymvvXjdA0SUrA6v16YRGcKyaFHoAdGLN24loAcO +t/w8etcDbqwFPi4dGnF8qUo3eOgBrBraabHolWOb+fY/8QBLsxJpjv0YzwP7 +tLRf4P7Ih7yKQmf66wXovPQAjryOKFZdGmG9x9Or3+UBqT5JJyLQv/nPaB3p +x/Fd7VVm1qOR+sKfjeYjHpAzdnV3GHosKdPO/pMHbNgxo7haH/sf043iXtMe +YG3WezQEvVipuhz70wO2Gh8OYjLA+TzvpOcveoDDP7uGIPR4U+6mmhUPOKe/ +ddMK2so+wHKI1RPchEPDAg/g+UlSbaZxe8IHh7RVy+iHvvknNm/0hFqJU2kB +B/F7pbHrdUU9oQeGVJfQSrSX85ckPEGletMv/0PY38TIsl3b5QmDIWJ1/9Cf +X6cf6NjrCaq5v/P8DbE+X+t9uqzqCWVrr6T/Q7ew1FvvA/z+K4Hr/kY0EhCi +ruZi4Anjk5Qn/9A9/cIHS494wuT5R1P+h2nEVpykfD/hCTePvt+zhB4cjeCT +P+MJ2Y9oEQFHaMR3sOu1p50naN1c+2sJrUUYr144ecJtWWFK4FHcz6wfHOuo +niDsspt1BT3SGBNl5esJD/307gcZ00gqe+WBhyGe4O962ZHpGNZTZrOjHDGe +cMapVD0ETXtqev1csicEJbBsXX2cRsQTryrVZ+F60YMEw9CROryC4nnooW2S +zCY0UsV8Wz/ylidwmf7UjUDfsjvY/OOeJ8xlzPuwmtIIMf+Sbl7pCd5dexuj +0DKaztUtNZ7QKvdAjOMExn9/t6xqkyeYz1BSY9HvT6xZKu3whGHtMCEuM/z7 +GYaE1BtPvF9OPExAq/+8V3Rj2BN0Mm6eXX/y//mbN3zruCfY8j6XTEGPsIrX +5095wuOt5B+vOebnlgGr7T89QXKNzGQ62jtZxrpsEfebJW5S4BSNtOaINWky +eYEk1XYpG/3wanlSJ5sXTF55LC1igfF/b6zRer0XFHSk2V1Hz7mV2i4IeEG6 +Jb1q62nsr5eELydvQRf+2nwTfXxIbnKPtBc0LoVekbSkkevrfvZ27fECoeby +ncXoWjF7eeo+LzA/HdG18wyNxHNnrxb5zwuEJZijS9HupimGLbpeUBaqZCZn +RSN5f85wexh5AfMnUbWHaG/XtYe2m3qBR1mj/D5rrA8tt9eMnvaC3FNy/z1G +2wfpa2ae84JOY3srDRvcv6KFP8edvKCP0yX9Obq1vVOBj+oFVStHx7TP0kgl ++/v5AV8vSC5ZT5rRfau0tXJDvUAgpuLRAVtc/y/cGy7GesE1Ub3/OtGXHK1c +VFK9YMPUy3dHz9EI59vDpzmueoGXx/6kN2jj1bSB9/le0G/4/ORJO8y3xwM/ +V9/B79G09r1Dzz5bikgv94L16zu3W5+nkc627Fr3J14gu9VZ7hPa/golwbze +CzJfSBldsMe/jz74S9q8ICp+JeAbWvWj5/Ku115wfytTs8sFzMeRswWbhrwg +YJPstnm046H902s/esFn0eRUbwcauaB3/c2qKS+w7pbZtITukd1ly5jzAsdh +zsqQi3jfOCGUvbjoBYNT8vasjpivS7O8aEzekFVaJBOHprcOrV5m94ZD/S7s +PE408uv9Bk3WDd5gvymTlo6+2u4uxbvJGw7s3cok7Iz951q1+m3bvOHw0AbR +PPRsc+aGfTu9YaTb/bDkJRqZb38pZLTXGyhvj6TfQQemsg3Zq3mDUeWtOdnL +2C9BmmmEtjcs7A2zrUB7Ft5JKD7oDdKbvk2puWC+14qLfHXMG+LVvkTWoXmJ +r/bfU97w8Ly3mp4rjdREPH0haYvfo9xd1YF2LEphNXP0Bn+1iDFjN8xfE/ob +4yj4fAbXmwE0p4HEbKOvN/DYHxixpGA+8HPLZArzhtAEwhhHO/0K4NaO8wbl +n4tyF6k0EjqQaRaR5g0Wvn6+s2j9tVzur655A9PGrmEPd8x/inIOmwq9wbfs +r/E/tOdDk30XS70hnayMhHrQSHJp12hNhTfEPf4WyOGJ9Zn57zn+Wm9I5G9S +TkYzn5Nqd2n2BkHjJGZBLxpZp1HB2/3KG047mU5eR39pXCEKA97QeVF4XNKb +Rppp502vvPcG0eOTP++iw4v1jzN/9YYve5oFFX1oxNpujSZ11ht41z42eYqO +T13hm/jrDavpL4u0fbE/u3BjxJLJB1jX/+NuQyt9Ncp+y+4DVWdPxxv70cj3 +iUsHzTb4wFeuH2KD6BG+y78GN/nAc9nHHdb++L2ZJxnW4j5gOdUY/xV9vLtu +3/QuHzh3VtDOJQDzxffZPm9FH+ite3LsL5r/WI3HWk0faJJ/eCIoEM/vl2zh +m7o+sOkTmytbEN4nPBjNmod9QIuz4UYS+vbt077vTviA0cjXr4LBNHKUQ1E9 +0MoHjNOC9W6gU1mW2KQu+ICmc9qTHSF4fueVJ7pdfED99nbdcvS19TZvA719 +oCRO94taKN7/vGmje0N8YPnMz5wGdBaJ/DcZ4wONjvucDMPwfmodt68w1Qda +mYSM+9BatUlx5675gCPlhuGZcOyPFEVXbS/E728cODOBHk56lj1T6gMH9r+I +dInAfiyebvq00gecTtm3LKLV3l9QjX3uA9PV3aKhkTSiIZOuZ/US16txTeza +KJzPJt4g5R4fmBznWJeBDtLz/Mo75AMuoVO3t0RjvjtwMuT3Rx8o5imxuI0W +fXb46OC0D/AwmUgoxOB4VeZN6n/7wJ+Wb6tr0HYnvqbc/+cD28f8aHqxWJ8e +Na+9weILM82cbD3o6QW5pox1vuD0L2+3RRz2dx2ttUmCvuDMtv/CZ/SOT0qM +BDFfMHVhPLkcTyNrmESCknf6wkpdjwQNbfdbwihLwRcux7QXhiXQiHAm3e6m +hi+csJ7TXJeI/Ua/YWe5ri9sGTz4PRtdVdkS3nzYF44kvX8okYT3l0OiKaNm +vqAjUZV8H321YeU3zdoXdJUHI9SS8fydky4TvugLQZeNUpvQmXEGrYTiC50e +wlVHU2jE7LEouejnCxdoB38Oo69EnRXMCvcF1rvj++1TMd9WvDFpS/CFAvL9 +3k80ZYvi35VMXxB0vSwXkIbnqVWbWeOGL7bOrq3s6XifHW0M8L3jC3LXGN7p +6f///06Q/fOHvtArLKAtloH1u/m/etYaX6CTVrFS9MG61mSTZl+oGdgkpJqJ +9d73x9vCLl8YuM+7vQldyuR3hf7WFwRynh42zqKRrmSdQdOPvtDlsSl+BJ2T +I5j1aNoXpgRVxh2y8by0dw8KzPvCjrMixn/Q1Ss6NwKXfGFBqas/5AqO38Jw +bprVDwp8T1LXXcV429vccZrHD9g31+24hn6/LWnf601+8IGTe2H7Ncx3bLHy +hhJ+4K9y8F0F+sjqK3VtMn5w4YrfoHYOjch65n8xUvaD+t2lP7rQWdxxRX3E +D1q/jwtbXsf61URWnz3oB5fHtttMoV+P3l3+edwPnnGG1XrmYv6frL0eZekH +/D7/FJjzaIT60n58m70f7FDLeZGCzim70v3CxQ9unXG033qDRrbKGTnY+fhB +9tJlyXvocSnPB1xhfpCg+JCuno/1tGvD7SfxftCwRXOqFd1aK3LCKdMPUj/y +z5ndpJG4ydQn2274wbEC3fVf0DqF3oMjd/zgYeIbfWoB9lN3eipyHvmB4Zu2 +zFWFNPJ0Q/6xs7W4PoVyK0nogbO/yne99ANnVe7gLUU43vDuwcUeP5jocNx0 +D33otV5bx7Af0K8bd2jcwv3kPh9Z8NkPgn+1ZLSjV7sQvuAZP4ANA96ninG/ +cqcoZxf9wFY/0n0SfeGx722D1f4gPj4W7XUb9+c4V7UClz9MqH6rZL1DIwW+ +T/PFBfzBp6CMkYEOrypwEhTzB6dAVQupEhpx5Z0S3LDLHyp2xb2uQA9uvH9n +vZI/bF5Xflb3Lt4P24Qk+bT8ITjlIWcfOq/xWKzIAX/4Kp7dea4Uz8Pm8LEd +x/2hRsmx+Df6uOeotIalPzRq7r0Wdg/z4erEc8ft/eFh5Z9ivvsY/6Gt2Zdd +/eHRlhevCtDM+xvaknz94Ro9m0vpAY3k73lEqwz3h5WeaLsmtNHz/t0fE/3h +/Z7sftMyNOeFcxuu+INafrf1F/TeplsF+gX+UF2nssazHPO9xtvZ4Hv+oCU+ +VMf6EPt5m/8MX1T7wyb7mowsdHqT2BPmBhyvzHT4jkd4Hyro0DzS6Q8nRJ0S +nqA3j8UO5Qz4Y/wZPDhUQSPdLPdT5z74Q6lkzPQ7tOPxKKeD3/xhKk+FXKrE +83jX6ULxH384xW55bxltU/4whpMpAPSEV5SSq2hk8nFVP4UzAG5n7hzYVo33 +n/a+Ix/4AyBU53PyI7TIPefF41sD4NxXlfN6j2mEa+JDf/vOAMgz2WPyFr25 +MnPaQCkAVlu8srj4BOuV2IJau1YAaL4W82egB/5efHnsYABczZCvTniK8dVh +nfneJAD0o1i4xJ5hv7NoUOJqFQC/Ym/7PkS338tgZb8YAFtjxdfo1dDI2a/P +7xdSA+Abxb/oLdrBTfOWfiB+T7XurGMt9g9zMXM/ogNAoee3yhL60WeplKtp +AVCtIrEj+Tn2A7dT4oxyA+DPZTMFiToaCaMe+7TmTgBY+WWaVaH5T3+/9uIR +2v57+sEXmE8svz8OfR4AhVpnf4ygd55+/9+htgDQEFy2dq2nkS3ix2UF+wJA +mb3z+5oG7AcvDidMvQ+A7j19aVnozHdcNvVTAZBzZ+uJ3Y14/jaE3s6dx/fl +V8vXoRuu9juGrARALBRJmzRhvVspKrnIGQhSVT+Vv6KfP093OrkxEDyVb531 +a8Z4sdQvPyQWCNX0jlvrW2jE2dw2aP/uQBDQdmYtRGcqpA1pKwdCp2FysOpL +rH/+kY162oGQaqu98RXauOM7HDUKBNne6KazrXgfrfU5YXUyEHK+uSQuoI1Y +PzNTbQOhhZmJGtdGI0VOX44nXAqE7946FLF2zFct6vvveQfCbDHEV6JZ1hYO +9YYFgt3CmvpDHdgfHvq8aTkxEDS6Mng+oAfL6tnkrgYCc+6Kr0cn9gPJLMXn +iwJBfegQ09pXNCJ/1p+RXxYIYYvBN26gRV/8Yf/8LBAu+tw9rdxFI1Feum92 +vwwEeP9mbyd6PEzLyqc3EArvr5Gw7aaRUzy19zpHA0HPS1duEf3aJ6dZaioQ +qG15Zok92O+errkTPh8IGRpbr0i+ppGmuJUzUyuBkHexc+Ep2n6L0YTJ2iBQ +my9zOdZLIzwX4vSbBIKAN2RgzSSaa1VJqLp4EMw91X8U+AbX53VWbtWeIPhy +bG3gxj40x4FcVbUg4GLssStF228vj3ihGwStro/P7+/H88PoND9iHATqlIrQ +YfSa+9ki46eDgKlp9zO3ARp5/IK/1+9CELTI7VjP8ZZGnm3QCxahBsGN8EeB +N9AKY/K76gODIDLzLYfqIJ6f9vE3zrFBsKyVW9aN3jrqELIlMwg8LTdQLwxh +PxrTpzyQHwSTverHVtCZ99QX0+4FgUmcpGHWMPZHOY/aTj4JAjp10Ebu3f/z +4ekH25qDoDTYJvUl+qaL8b2fPUFgWtIyZj2C3z9c9fLlSBCYz/IfXBz5/336 +4erCySCQMTnRlTyK9UfI1TZyPgiExlJcdr7H+hia4KHCFAx78vtkGtAB2pQe +WdZg0Ly3nfX0GJ4PLybdnVxo0QzGb3STsGmvNG8wrOPezp3wAe+z32MDtgsF +g03BV3Xpj9iPezcZ7N4SDAvsH8Pr0IVC4ooKksGwzXnzN/NxvB/QWrQ1dwVD +zqriS7/Q0wKDHgflg0FsTTRX/CcaMdX2f31KORi+P2h/KfWZRrZtGTG7pBkM +y0Y+eXXo6l3i7OE6weAlmZt26guN3Kj1/Xr9QDDERu4v/I3mY+f/+/RIMFBa +qa8TJrAeCW1Re2caDE56aiI7vtII+2j7g2WLYPh8JjekAS0meeSM1NlguOx9 +j/nMJNbL3NH9Ry/g+JjcCv+ipcfLzvtfCgZhh982qVN4PpxXNZdSg4FTmqjv +mcZ+roDT7oNPMNhVW8m3otcNcOgJBgdDSK7l/nPfaCRRW8vxWGQwvDy3n7qM +Tt4w1Z8YHwwCGZtfXPmO+dD2cGx3ajDotPzZue8H1g/tshi+K8FQnjxQ1oNu +KDcfsMgLBu+0dlPnmf/HRxKlqCgYCqkjG9lnMZ6337D5fRfXd0RgvgAtz/X2 +pu7DYHAICJ8lc/h+/TCNK4+DYcs6efYR9Ivnf2R+Psf1OCSp5f0T48kqxMeo +ORiK5p1S+H/RSAyPn8TdjmC42rdhdTn610u1Pdy9OL7HYsmHf+P3ggSuUAaD +4Q61QGMaTVd2vvjufTB0fyhkjprH/pmRdcPgSzDMvZf7JvEHPbkI1d9wvqZH +Z1+gvbfPGe36FQxdu9dtsFrA+8/Ch5Ybi8FQe9LLmIHWuSVfLrwSDIvdGfey +/+L9+Zr+umyWEBhLcd+hvIj9tln8ByGuELDJ31L/Bl3sdmnXdd4QCGfP83Kj +0Yhf3skZyU0hsOstk9F6OvbrVU9ly7aGwDfxo1r30Nn32We0pEOgkD3jiCGD +RsRvVMq+lgmBsyWj/lNoaFP5ba8YAunySm1R//B+lcKmxaQeAvVtBYrSSzQy +FJu34TqEwHKJSk0T2pHi7/qfQQjIrGfYnlumEQGlzWc+Hg6BChXa9tUreH+Z +WT0cbRoC75z+W5uPfj5XNqV4OgQ6ab1cwEQnn+tLE8fPhoD8vmaZMfT2bYEd +6Q4hUOC91SlwFZ2wszy4ecglBF5L/ni5eTWdnC/sEGD2DIGTN9T216JVqba7 +6v1DABPrqOUaOhmWYv4QEhYCYQ3+Gf/Qpo/3q+vHhkCtWaxzDjOdFDpUaaxL +CQHHTF1bTRY6+VD3e2IoKwQU2Ks9R9APUjO07uSGwGe1H3f8WemkZEVFz78o +BLbX/WKIstHJiJfP0vHSEBBQeONci179gn5xzyOcj+LVf2fY6YQ+Y5Ww9imu +r5PJ3WW0qruh448XIdgvcPrkcdAJr7DDmjcvcf80Os4DJ50Ai/Xpmq4QmNPJ +d/uIrn8y4n6nPwRcrbNzQtfSidaW5ONXR0JA+lTNhAQXnRQH7Pqb+CkEOFeE +jJvRTZHW56OmQ6Ba+umgPTf62Je8sJ+4P3fvBrOvoxOW8+53whZDYMKNZlCC +Nq58GR61EgKitg9kMUCI5K0cpSTWUBC7NKQ0g77P/ejZVe5QqIoJs0jmwfGq +vRIt4Q+FusoneQobcH6zDyxqRfDvf6KY+9FuHuLefeKh4HCCHu3FSydnI2e8 +ZneGwsyE6B5hPjoZsPtguW5vKDA3MuZq0LxvW3buVQ2F/ZwFfdb8dHJIivrx +JAmFg5+2DK7eSCfSEk8iQ/VDodbPj1GEdpBzES0/HAqR7M1aBwVw/MqXiz6Z +hoJAM9vN72ij6hRJYctQ2Dh/VCpZkE7am6pzTM+FgsHYnVZFITrhZ6vnSXMM +BZm32+LfohXqk8P63XC8ik0ufpvw96+5FkV8QqHz+HXqVmE6ma/a7GYfHAr0 +q0+yGtEPk+//rIgKhUVvqZELInQyKXHPny0pFLJtfgCXKJ1EjnJstMoMBYlX +m1vK0AUD1bWPr4dCAzQ6ndiM73td6iNYFAqmetN76WgTvY+GvqWhUOGYJ5S3 +hU6EThurfHwUCoUHZ7fqbsX4nf2rZfQMHTxhMIVOvT54/llDKEBVSnKiGL7v +8Z/7su2hoJW9RFPchvMxO7H51utQ8HinHD6EfmHIVLFtKBROaR6SCxKnEw7l +1Z75H0LhcqAuQ1IC18Pnor3UZCgwnBUm29E2OgbR92ZDYcew2IKrJJ08TXnw +Xu0v7m+eqJSgFJ1IqT5xbl8OhaN5Ch616KuDAfusWcMgtt5l4pw0nUx/36S5 +yB0GCQsfvDm300lXV2lYxsYwaNyXJlOOlqwwX6+yOQwUgtJWme+gE8cynfER +yTDgGJr5u4z++zx1JVImDLqOPVx/ayedhDZSHfcphQFlZfrA4V10shLLJz2p +EQYDK0UF82ij7pv78vaHwYTX3Nac3bgfmidyLAzD4Gb629r9MnTyzOPsGWGT +MIiLdQj4hp7dsMr/vUUYyGaWWaXtwfcXujJu2YaBOqPmrIYsnVjVz76nOoZB +Kcu1yE/oVMaLnXqUMJDhMH8VJ0cnM9M7x4R9w2DUZpWykjyd3FCgrv4TEgY0 +l8IXI+i24MnMNzFh0J1/5FLEXjqxSxrMq0oJA/mL3JqyCnSiJ5shlnslDPJg +RuYt+psuVTQ2PwwM7y6TYEU62dLdnul7JwxGFI08dirRSefkQqpLOa6n8+fO +XrRl1wn+i0/CIGKuT99/H53wjB3YcqE+DJhtd3+SUqYT10KliottYSDg/Ce/ +Gz3WHTzk+joMkushzEeFjvU3O8V/KAzENotESajSSfLaqbH4jzgf7dR7r9CN +Xp9f5k+FQRn90YKXGsYPx4rRs59hYC6SaCuujucjsIwyRMP1CJL92Ylu6qdq +/lsVDq0cBTe9NOhE+fjLexKc4bCjmOYpronrEyzTfpQ3HPwN4fIr9KLKjoxg +4XDw/R0e7f0fnVzO0+GtEg+HFwX9zRJadPJOnk1vblc49F4E6W60/1PmvXKK +4TBv8eaOL6ET54uvhiga4cCekWMsDXQi83JB59n+cOjTKhHuRbfXbHJlNwqH +5khO9kBtOgm+3mtnYRoOWwo7hHbp4Hik6yXLLcNhboBhNIA+Fhz9iOt8OMRd +uFMYuh/zr243/6VL4XDl1vhWOV3MV2HEqNcjHCJ/VD5/h9boiDyjGRgOobl7 +Q6L16GSvuJnR3chwsJe0u7BPn05c1tuKbk0KB5tfp93G0XP5tq+zssJBNXx7 +XpIBnRi687lsvBEOf6z65zQP4PhLFGlZt8NhF4+7/TR6Bz2CurU8HG7t4WXK +PkgnPQ97Pt59Eg6NZs9r9Q7heJ+OGvzXEA6HFaPyfqM5M3zvvGkPh1mqX1G+ +IZ28dfTmdHkTDmq9d7qPGmF8sJVeXj8SDoM827Yso7M//hiq+IzrQ59NLj2M +67VN2Nj6RzhM2EntOH2ETtbl8fSvWwgHA5meTxxHMb9OVTg3LoeDlcpK42M0 +i+GMcABbBAR51LdeMKYT257iTxo8ESA8JvVL4BidhBzoaV8RioDVnhrQgk48 +ZNHXui0CqnQ3PPI4TidO6prMWbsiYL911SEpEzqpMXS1clSMgOBxNbZ+tEzc +/ISOZgSUzpdMhpvSSdL79nwxvQjIaRaaVTqB42Ojpa45EgHzCanCX9Bhd6Of +fzOLgLyk7U4ZZvi+U1E7hqwjwFjg6we9k1ifY1n7OxwiIN3zg98C+kaxSGuj +WwTUr5PQLDbH/MbzgaXeNwLW6z/fZn4K+4ttbqmNYREglVgvw2GB+7Fnzq0j +PgJUz2qeeYrOTwy9PZgRAer7tR45naaTj8XH1L/lRkBF/YDsZks68ZmK3b3m +dgRMUDf2dKGneqyDxcojoJPOkRV8BuvpPMt/+5/i+5iawhSssB9grj7v1BgB +31RNMj+jxbrKlrM7I6D37MuuTGvMBwb7uDr7I4Bzv/yegzZ4/uNiU5nHIkD3 +3vVyBnruKz1DZzICPvpttbx/lk4q3vYJR/7E9Uprljlri/3NBiepbnoE1Izn +SfCfw/iI4X+6mTkSzGyfYw+O60ORGXXjjoRI/r3hvnYY7wd40zoEIuEpC/vM +nvMYL292ftglFgm2RiaBH9FJu9+1Ju2MhPfsEvsy7HH9alOP0RUiIed8FO/B +C3RywKQ+0FEzEj5kJgssoVsER0w/6EWCw7sj2uUOdGKfbTl4+mgkrPHvTT1/ +kU5GX7/gHjWPBJmO3WuFHbEeyMbRztlGQoO0U0kX2jRW58acUySY/rnhGuaE +/RmhsIZ5REL77dEzqs5Yb3eVyIsERcLLmr2UH+jjJYEST6IjgeXxvXs3L9GJ +b1H0J8vUSGjaZctjfhm/n3negzUHx//A+iq3C/ZTidWjlUWRwPyjyrARPaMk +tc3pQSTsSPWW9HHFeOs7pSv9JBIsTlVKyrlhPj/DYvS1IRKa2QKNvqDLnEc0 +73dGwqTzp2vXKLh/R7JF/AYiYdx2gfc4lU6eM//9fvhDJJh3vSxnd6eTXONn +ldLTkVCX6+Bdh5atKPVlmY8Eta4pe08PXH/vLJhewvU/axmwx5NONlQacfWz +RUGHw+tnn9Gfjt8cb94QBd+XTonneGG9EqS21ohEwSl9tnITb4y/wtyGJ1JR +kEmZvrDWh052BXEM1MhFgV0tv0Ej2kHkOluLWhR8cc464ueL6/POwLJ/fxQ4 +94YFKvrRSabg0uD04SjoPPht4BvaW6oylNU8CszVx04W+tOJ5plLVjtso0Be +wG3VmQBc/2073Iydo2DY4uGbjYGY/8e+1wV6RgFHSkVXF/qhaOvRR8FRwGQU +8ysqCOPdr0NqJjYKknfrEO1gOgl/zG0glxEFvkNzFXT00+cljz3zosBvbbFJ +RQjGZ2FjUNOdKKgK9RS5HIrntyIwX6giCiLXunHtCKMTczc2CerzKHgYcFt6 +HE0KEzn6WqPgTI2sY044nQhYHLLQeIPfr9741iwC+6tpD+E7o1FgdMHl0oZI +/D7L8aObJ6PA/s3hPZ1o5yrJ5axfUcDK3SgQFUUngfZqMpuWosBy78edOtHY +X019eH+DLRp0Lj61X0I7h7iJyPFGQ96UzavHMXQy+Fn/a6NoNCz8mjjjHksn +4zoNBtbbo4Hy2kpIPg7369ghnVUK0fBvZPjfN/RtY8ORO5rRwOl7ae3teMz3 +3CoipwyiIUxop65dAo53Npx5/fFoMFISKxZLpBPdv+XXOyyj4eqJ80qj6F9d +8D3xQjTs41n7/UoSxnf7kz/mlGi4zizZZZaM+X2upG5nQDR0v28Y5kvB/mf1 +7aOroqPhxkn6htfor2GH7o6lRsMlxVFqYir23zV7B5uuR8PD/YFMRmnYPzWt +Him7HQ3M5+eqOdLpZDnZoabgET4fon/1JVr4B1/Q9efR4JGUVhyRQSficc92 +5rZFQ1/y9Nj+TDrp4xRtKOqLhqp0q/2rs+hEiWnxcMVYNKRXre59gTaiCb5p +m46G2C3TcUHZdLI16tDJiT/RwLNqh5vWFXxez+4Dx6oYiM/rDllC3/xI3JW4 +YmDKYL625iqej23PhewFY+CF6R0p/2sYH9+a3+SKx0DentVPNHJw/4x1777f +EwMV+rzeDPRsikyRlFoMiGz7YfvsOp6P7d4vqboxIGl4y8cvF/NNq7RQ29EY +MLM+VqORh+fRU+u61OkY4GNdvfsf+n1oh2WMfQxsne9orrmB8Z/+wXLeLQaG +vzXEB+TTSVB5ZoF9QAzo1tCDtG7SSZUBt8qH6Bho0o7KW0GfVnXcfDY9BvrO ++397UYDjGx6ynMqLgc6tM+dCC7F/XJ3E8L4bAy7UOXbdIjp5zNO4sr46Bi5T +soZZbmH9/13pcr8hBm5q/B18idZXvn/MtCsGKAwJ5thiOjmyinZ31XAMSH3f +a2l0m04OSk2HV32JAX/TfR/X3cF43z0yTvmJ34vRSXuNljWR71ReioEPM5co +6SXY39w4YrCaIxae/+4IPHmXTjZ/KLLo54+FdgG3x8KldCJSdZerTCwWdD65 +bX2P5iweOZcqEwtGv8cf5d/Dei9YY++vGgsXZgY9zt/H+DjdJ3JZNxaexDic +3/mATr7XV8VcMI6FguhboT/QmVcZVQ6WsfCzpvhVeRneB9V1StwcYuEVS4i+ +ZznWH669jqHu+H1jgx/qDzE+r3gsXQ2Ohfkr6xtW0DZRTY7P4mNB/NtMU9Mj +fP+DocefsnF8lvQ/MRV00ivpPcNXFAta/AYnjlZiP6PkyGtUHgufDKbH+avw +PuEdsju+NhYs1Wm5w2iuj5nQ1xYLt/+LiblRjeetMtZcciAWFsof3LR/jPmz +SNfXfzwWBFhDp2WeYD7vfVQ6MhMLQdUbz/5G+7/tWtBlxIL/8WDWp09xP7rT +rCvZ4mDS7e1w8DOsH7ZYV/njQKtO/r1BDZ2k9ajduS8WB/Rf+TzrazEfMzSz +VfbEgX0fUAbQCpdkG1rV4mBeTWJN7nM6KbFXkLXVj4Nr7NaN5+voZOiz+6c1 +JnGwZR/noz0v8L5wd+fUPes4ONCg3vsHLW8Wr2/jHAffG1i3Pa/H+8DJD6tF +fOLgtnl4XmQDrvd6N6n3EXFgVNF2+GgjnQS0pVTeSY0DR4Efu4WasL/rvf40 +IC8ONLqY1T+ii70XNSxK4+CIxnbvkmY6cRfl1iZP4sChw3GC2oLnX/Poa5mW +OBBf+hL+30s8r97q8+Jv4qDizAMTtlbsR4qPl2/7EAeBsaPHX6N5BiR4dv6I +gyj5qNBrbXiezXWE1OhxIMjVOH6+He8fbw+9PsYWD2NTxVT5DsxnpuM6VP54 +sLpltI+BvqNe5X59Wzz8t6d1e0sn9n/2/pd7ZOPB0W+vYcorOrHY+1uFSzMe +AnLy8iy7cD6BHweND8aD4r2dUju6cb8aBU7lmsVD1dDEu99o4U1OL+bPxcMb +q5nGuh6MJ1InYOoWD8kxJ0fjXtOJzoN/52oC47GeqO0w78Xzl7+xbE98PHww +LS2UfEMn2qIsa25fiQf5jy3Hf6L7Vnfb7S6Oh0vTNxSe9+F+CwePVlfEw/L6 +47px/XTSLyzrcbghHo6s+hVlPkAn6VV/Fb93x4N4UPaS1FusB3eZxdNH42GH +xZmi3+iNryIM9L7Fw4y7eVD9IJ2or60sXVmMh6f1+XFJQ3SyM6b/VCNrAiTo +Hms/M0wnmwoUTybzJ8AW3iANmXd0MvxX8p69eALYG+8fo6OP+LLb6csnwLt9 +VZVtI3g/C9APl9NKgGnOuefZo1gf6o0FxI0SIHcHB+PCezpx87spvsUiAT7R +NjmqjNFJxvkX5RIOCSBHV+di+4Dx/Vq1U8EzAXSrwz8OoFnvFPgahifAQvf6 +6VsfsZ+Nutl8KRW/Pz8v5TVOJ2frPlReuZEAm74aZRh8wvukPZ9p9/0E8PWT +VxX6jPF/kXZ7XW0CfM98vG4KnZt5uvZkRwJ0yS8LPf1CJ7ducV0tGUqA1OPC +J+MmcH2OThmwTSZAqYB0m+VX7AdNB7svLSRAe4m6i+wkji+uXf09cyLwHnE7 +yDSF6/3jaYo5XyI8OvbpZC/69Z37oyPbEkFsU8nVwmk6uS5fud1JPhFshcc2 +eH3D+8F/k95rSCLcG71We/A7nsevTsNFhxPBYol2XfQHnr+qyyeOWyZCgTTf +o1l0z52dv9mdEgE2rVpqmKGT89ofatp8EiG7eNQvcxafz/rwLD06EdirGuQc +5zD/uITRLmYlQq9mu5DWTzqhKcsEHbyVCGf016nw/sL8I3HQTLEyEf7N3o6d +QK9TM4ne3pQI+o4VfM9+04nn6a4t0m8S4driod6keTqZtzgoITeeCCU/I1vs +/tBJFItVns7PRJh7HjqntkAnuzXLc2yYkiB91Nx4/V+sn/O/JGPWJ4HVe4mJ +z+iTx95r12xJgnN2y+VPF7GfeaS2RNuTBNTtayqSaXQi3Txgo/NfEkj8Mvpu +T6eTVWGpnhlGSSBYsGDxH4NOqi1PHPh9OglKdosw8f/Dfl+L78NppyRoTe1/ +N43WTOsw6PZNgu6fMFO/hPtpFxNzODYJ+D29Va4sY7/vcO7BwJUkKD2bVe26 +gudzg3+j450kEOB8cvkAE4PMpK/q4XiSBA1Di5ZiqxhEhlV27FFrEggfoYQu +ossuGjAcBpPgHw3GelYzSOKTPNmdk0lwKDyYemcNg/xjygib/5sEP4uNSCgz +g2yuPBD6ZU0ywL56ndMsDPKikMVqYG0y2PDQA5RYGaTjms5wJ18ynFXg+8nN +ht/bYPCvVSQZzO7syPmK5i+xaWuXSIYj2WZB9ewMIq7/Sb93dzL4Kj+5eo2D +QX5y7PQdU0yGTz3OMx6cDNJol+rwSyMZtNsSfI3XMoirSKTgWt1kuJWpSnZz +MciZY27xO42SwbY5RpOVm0GkE192HjZNBqO/1ykf0cZtq997WSbDz/GUjzXr +GKTbo6C52C4ZhE6ExmSvZ5BnUfIxo87J8EMu3tGdh0E+BKrIbvLA7zl1hhtv +YBDPy0ZPLQKSoYbfZlCGF8fLwal4MyIZQo/anefgY5Dx2xtyZxOSQffEwu4J +NO/Jtav2ZybDOg9FmUZ+Bvk4XHQ2Jxfny69mf2MjPl+X2cy4lQxrHkgOBwgw +yMbTVxXOPkiG2QG+6NOCuF6j1Pud1bieSpKuakIMEnHih5bWi2Roj6CmCm5i +kIWGt1OVrckQdGPr7B/0jY1rKxVf499d9SP7hBlkQsv+VvVQMvgsspg/EmGQ +t2rdjdrjyVB3zN8uVRT3l0+Rr3c6GbaXvrzrtplBftEirjr8TgbXo6yyx7Yw +iC1ptGb5lww9V8y+yW9lkNyLPxxuM6dAJNPbTzxiDBKqua7mGHcK2PLcEvyJ +Xt2obL1KIAUCL41Hvt6G8WYeZF69JQUc3pTsfSjOIO8q2e5Tt6cAg3+LUJoE +g1jRF84ry6dAq+hpdXdJBnn82C9yRTUFbH4EZ5+Qwv1b6djYrZ0CbTfuK6hI +M4jdOSnhokMpIH1xDcem7bje3K+uhJikgEVyrggDzduy/pqdZQoUeOc5ju5g +kDC6tuSR8ylwOUdqoW4ngxx8VaehdTkFRBKNn9/cxSC7xH98VfJKgdJF0hix +m0Eii/bJKQSnwNs8PpaLMgwiOcwlpByTArrW38KM9uB4pGZuQ2oK/Nv9lcjL +MgjjreXksWv4d77tavxyDLKi8XnkYmEK5Gh0uCyiC/MEE6LvpQD90+9PI/IM +ImuXunKvKgXYztdn1O9lkGvMi+rDdSlAkTeNuKXAIMES83rcbSnwrqfzYZwi +g3BfUd9u0JsC3tOGW9yUGOS2f9SXqHcpwKnx66XZPgZhV8iL6v6cAlevfHig +qczA/uEI/5aZFNjyV2VAXIVB+imOqdS/KVBitUmDQxXH86iHvYcpFRzmi97P +ou2OXghU5EwF4b/LLwbU8DyOi9Kv86VCTp3eeK06gzjcmAxdvzkVzry4plOk +ge8/3741WjoVfkWKj8drMkh4TftbNvlUmHnKeOH+H4Mc/0EvT1RLhcAtB8cs +tRikgcujUnR/KqgmyvynRzC/sFlOlRulwvtVrcN7gEG+lb0zPWKWCnFx/z0W +0Mbz1rVj5ad1KgyaP+hfQR/cHjKbczEVVj8kilM6DPIqcfeeo9RUKKTzvO7d +j+/741XHHpAK18v1HtToMkiWe929tshUUHdj6rqlh/OztFtJSU4F3tlze1L0 +8Xzr9j47ezUVOv6lvvIzwPjdGDitWpgKJVFl9+0PMEig4ESq4P1UOJ891nPs +IMYHa2rNUnUqsJvuV/rvEINUCPK5fKtPhQXG8uAOQwY5u4754YeOVKB/31fH +b4TrdZAjYbQ/FZZvrP3KdJhBTLt62MbH0PcKjH+gQ0/z7pqZSgWblm3/ho4w +iI93EmPVfCrEP7kz1XKUQUYC+cI3L6dCH9V6U4Ux7tddagewp0Hlkn1c/jEG +iVdIGnLiTYP/Aj6TpON43gyPVuWKpsH9ff+UA0wYxF+9+OKQdBqURvW6Opky +yOLFdIbI3jQ4Pxf349QJXC+PLe72GmnQsvbwvQNmmP+UT757rJcG8anqZSon +MZ8OWqjxGaeB5WmfBWlzBpGfOJrpYZEG4xaywQKnGETt9AX6mF0aVBUEHma1 +YJBDFSOXjrukQax9ktUCunDpz2KnTxpc/RXxaOI05uMvawqPhqfBhsooo7eW +DCLadtZrODEN9NSf7mw9g8+3efhdupIGILPf8IkVg6wbKnvMXpgG86YHykus +GaS1M1Gl9H4a7MyZPZ1jwyA0l0wm8ydp4MBhbZh4lkHSU06JcjXhejTWBAXb +MgizgEdaa1caWK2Xo1HOYT7gTLmcMJQGs8dHqs/b4f5V2FRZfE6DXt5vz8zP +M8ieoptU+dk0uPs7hMXInkF2tog9WEdPg7gnL9PJBQaZcitz+8OcDp0HPl1U +dMD9ClVo+rw+HSaKGOHbLzJIr23agxHhdMj6ozIh4sggPWIdmqNS6TDiX5fA +48QgOcGj7hPy6aCY/8SPxZlB1qwbtlnUSIf+ycNldHSx4ggHn0E6ZNMLds9d +wvHqrfVRPp4Om/M+/fhymUHaMq5W255JB/fnSn/fuTCIQlpbV5ZDOgSeqzPo +dcX60PbpZT81HVY/vTvW6obrxaRdKhqUDhfWidfVUTD+julFOMemg07PoYkq +KoNwyZ+1bM5Ih+KkIyfuuzOIeeQGje356RC8coLrlgeDqLaM7UotTYeF3zFr +cz3x/C2d3cf6OB0u2vGZZHoxSMmEul1YYzoUXhT5lOjNINtYhOs5utMhnXQ8 +i/LB/Pno2Ykrw+kwrms0GuyL+7lvarfCRDr8pb808PVjEJEe78N9P9Mhk8WB +QfVnEPh8uCloCecvY7Z4KYBBlv6aX1XiyIAyixoth0DsN/qyhn7xZ0DT9aYu +2yAGOX91Y/xTsQzg33Hl9plgfL5r+lmcTAZ8PmLXaR7CIPd8/qPaq2aAV5yx +umko1i8t7ZpDuhkQ6hf962gYg2hdUMlXNc6A5Q/KfwzDGeTvymUZeUt8f36k +zoEI7F9mdR32OmRAQuvNYd1IBjnBKWmt6Y6/D6+q1Y5ikNodESLHgjOAc/eP +b1rROF+YLXaJzwADJcp5zRisr95/12VnZ8Bq4rZLPRbrs4726fbCDNizXkBD +NY5BDrsGZrGW4/OJ8VnK8QySesSly6g2A261M8G+BKzX1eOc19sygELPVVJK +ZBDLPVUn//ZnQLdXmodiEp6fuf660+MZcLiJc41iMq7vpv+OtM9kwELk3lGF +FHz+0R/u/YwM0E9UYlZMZRCT10KcLWyZsLobvBXTGMSsoOuwCX8mVNqFqSml +M0hsxpHP02KZIJG688C+DDyP9mOD8XsyQbTeplA5k0H04a2ymnomsIWZHVHN +wvPSf41jTj8TGpNV9dWzsV5Qb1qWm2TCiQ6leM0rDDKwxVUjwCYTptV9xMhV +7G+qrpSbXMoEIx6lNTrXsB6sNLYr+WYCb1Gakl4O5temglSxqExQ822pOHCd +Qb7/WeIXTM+EW2qMMKNcBpltKD4jlJ8JCtU2N43z8DyVRHpL3s8ErxkpnhM3 +GMQmP9lN4xn+ntn31al8BjGS6TQ905oJ5w7ED1vdxHzlbSwb258JRxTiVewK +GETHXY+zYTwTdtnd+XyxEOv770/zzHM43jt84y5F6BYP+vGlTOij0eU8bzGI +Uv+J7aWcWZDontTlX8wgdK25KB6hLHhlt+p52G38vk/DjmCpLEiGkOXYOwy8 +j50WYChkwfDt/3Vc7kE1p3EYF5akREJ2uqDB6dilJCI771dIV9IpY7ao3Wor +lewh24qprdiVy6Ss300rteOSOud00eVIkoo9XYToHto6TtlUSrc37X5n37/f +mfd9n/d9Ps/zkqTkTOxTkd4HfgEGzEPCj/J3KNEpP6azcDcDRVF2t9KzkMdW +oWKFNwPLJlrW3smm5MRFQ9X+EAbct56anS/D/L61f0T3JwY6iyTr78spsTlu +VVKTwMDKJUnyKgUlKvEdEZvMQIBFQEx9DiX+B7ocI9IYcOnXSm/JpSRq5Tyx +h4wB2WVhSXce6msb1gwlDExI/d/051OyRccrwE7FwIj++cmJu5iXg1ZN25oY +sDZzDJtViHlkH2PvqWbAL061zqAI8yCiRiEdZmCmo8Mu02L0v7jEMnU6C4bZ +H3LFStQvcWb9i/kslBmPSjfdo0S2KuLqYjMWOi1Tft1Rgv3Upjkj8GsWknNG +Bvbep6SjwHq4zI6FoN+95L6llPx4OV4QObNgNqOrPPwB6lny9ubV/Syscn+1 +5mQZJVLn6NUmQSy4a33Xm/iQki8zL4kyI1k4WF00xZVT8unuieLtCSz4pRiE +3H6Efm5P0/Qks5AVnmFRXIHv2TW+4up1FnTS0uCvSvTT7AJvHwULzmlE1lyF ++ht0logesHB6UYG09zElSrZyRKuOhd2Nmy/SJ9hP9TYYadpY8O+fpqWnooSV +LLZsfc/CLnZbtWk1Je/eHHJrnWDBiKzvs6zBPOreGaOZw4F73Jyg7bWYz4ef +NUxfysFe6ynbfXXIrwtuB8QiDn7w2uUf8pSSmrj5It9NHChMjdUn67FvvT2z +47oDB/rjeQ+TnlHSlG9dPuDFgSzWYeTP5+j3TIXCLZCDL87MTSh+gf1po8ys +6BgHdbp2oXUNeP+lQ6aWCRzccNXL+vsl8r/ct/RuCgePcpQO468oOTZdo+eU +wYG8LdpOv4mSjVmcSW8uzk8/m7iyGftULPeZLedAd57Jhq0tyIcp81Kv5xyE +H4ywlbRSMjfxQsSyTg7atZXMoTY8b6r9ivFBDjSFGz3i2pGffY/Vr7V4KHA1 +C+Y7MN94ZW3DAh5WdGQ3575G/SX17xqX8+CoNL5Z/YaSbWcbd/ZY8TAj8EZ9 +11v025XCMW17Hi7yp/dNdVLSMHBkwSYPHsZcP9kadaFee0yuH/2eh4qbllHr +uynZ2tFfVCrl4ZTuUUM3NSXnAm0OGcXz8MfiMb3gd5RM+9mzKjaFh+0sDYjX +YB/Iqu0YzeDhSmrx0ms9lOwptas8lc/DktDDX93rRX9USs4ZVPJgFLMvtfE9 ++tmn277gJQ8TSbKw4X8ocWlv+Rys5uHJpTx+wQf092+b68SjPHhmp69e14/5 +ULC8is4WwN2peKHbAN6f3tPRViMB/GbZ+IYOIp/lbGS1hQDaZRKdxI/4Pw0e +3KvaIsDaC5JFt4eQL+qga00uAvQ9kMY+GcY877txZMRHAEbd76L5hOdLiGwy +PyyAsnpOlPYo8ndNYY9fjAAfI/+daTGGfDUMK8xOEqBNNH/IaRz1353jqZMu +gE9gtH3oBCUDU2UNx/NwvZ7YofMU+Zn60XmoQoBJud8s+SQlS43vqWJeCVA7 +9G30s8+4f1F2kLFGgI41Co/hKez7j7/x8B4TYNr/Y5L8B9GQo6Y= + + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22265}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.71490723455093*^9, 3.714992966088601*^9, + 3.714993481659814*^9, 3.715473507695345*^9, 3.7154736225648108`*^9, + 3.71571284504664*^9, 3.715733627341806*^9, 3.7157668746025467`*^9, + 3.715887859233507*^9},ExpressionUUID->"c6a9111f-474e-4cbf-8d01-\ +a5c476f0cede"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/sethna/doc/essential-ising_doc/figs/fig-mag_scaling-\ +func-mod.dat\>\"", ",", "i2"}], "]"}]], "Input", + CellChangeTimes->{{3.715887754368169*^9, + 3.7158878186780767`*^9}},ExpressionUUID->"868f868f-b11e-4966-89ac-\ +1db553015d52"], + +Cell[BoxData["\<\"~/doc/research/sethna/doc/essential-ising_doc/figs/fig-mag_\ +scaling-func-mod.dat\"\>"], "Output", + CellChangeTimes->{3.715887859437949*^9, + 3.7159633066789618`*^9},ExpressionUUID->"8b8ac297-f755-4c77-9e64-\ +40d101172181"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{"yy1", "/.", + RowBox[{"Evaluate", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", + RowBox[{"xc", "/.", "sol4"}], "]"}]}], "}"}], ",", "sol4"}], "]"}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.714907240520297*^9, 3.714907240607555*^9}, { + 3.714993486410479*^9, 3.714993486532962*^9}, {3.715473527296673*^9, + 3.715473544920722*^9}, {3.715733645051826*^9, 3.715733655769355*^9}, { + 3.715768498935278*^9, + 3.7157685039555283`*^9}},ExpressionUUID->"03dc4111-b9dd-47fc-9035-\ +d84fc2a5c657"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.025536974521877396`", ",", + RowBox[{"-", "0.017621558207938367`"}], ",", "0.017961054818814333`", ",", + + RowBox[{"-", "0.023329050399972677`"}], ",", "0.03528983567426634`", ",", + RowBox[{"-", "0.058664889187964635`"}], ",", "0.1036635446284033`", ",", + RowBox[{"-", "0.19110257755577983`"}], ",", "0.3635224315776018`", ",", + RowBox[{"-", "0.7087075603296236`"}], ",", "1.4098635220545876`", ",", + RowBox[{"-", "2.8538832998874573`"}], ",", "5.868007114823258`", ",", + RowBox[{"-", "12.244860979252204`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907241156765*^9, 3.714992970455934*^9, 3.7149934888284607`*^9, { + 3.715473535060354*^9, 3.7154735583353662`*^9}, 3.715712866826226*^9, + 3.715733657427671*^9, 3.715766877744626*^9, + 3.71576858946276*^9},ExpressionUUID->"d2b7708c-50c1-4d25-a315-\ +494ca4244635"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", + "#", "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}], + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}]}]}], "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], "yy2"}]}], "]"}], + "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"1", ";;"}], "]"}], "]"}], "]"}]}], "}"}], "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.715410976773264*^9, + 3.715410977525257*^9}, {3.715468725789383*^9, 3.715468731252613*^9}, { + 3.715468766421323*^9, 3.715469006848844*^9}, {3.715768260999069*^9, + 3.7157682611760063`*^9}, {3.715768364740471*^9, 3.715768364907175*^9}, { + 3.715768395124449*^9, + 3.7157684226262007`*^9}},ExpressionUUID->"59c744b1-2ac8-4133-967d-\ +b476939170c1"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -6.438427652944157}, {4., -7.822933048993086}, { + 5., -8.801973336933848}, {6., -9.49333155242283}, { + 7., -9.961546216597604}, {8., -10.247439323978423`}, { + 9., -10.379181751531982`}, {10., -10.37739278646102}, { + 11., -10.257820785733673`}, {12., -10.032888269348499`}, { + 13., -9.712645573159001}, {14., -9.305391499979875}, { + 15., -8.81809471912721}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335355}, { + 3., -5.8303916975635035`}, {4., -6.504456136060896}, { + 5., -6.753788170289914}, {6., -6.745357679406993}, { + 7., -6.573583489286876}, {8., -6.2919564627843885`}, { + 9., -5.931611058848266}, {10., -5.511723944263164}, { + 11., -5.044792671130916}, {12., -4.539309015750113}, { + 13., -4.0011753790493225`}, {14., -3.434491614318394}, { + 15., -2.8420011936442457`}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -5.830391697563509}, {4., -6.504456136060981}, { + 5., -6.753788170290081}, {6., -6.7159247424693485`}, { + 7., -6.460354678470231}, { + 8., -6.028874663405286}}]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -11.147085415267883`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 15.}, {-10.966959864515015`, 0.20082428216259543`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-11.512925464970229`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.819778284410283`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.41431317630212, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.126631103850338`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.70805020110221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{ + 3.715468973603348*^9, 3.715469007107333*^9, 3.715712813764515*^9, + 3.715720425574378*^9, 3.7157210480853786`*^9, 3.715766841900373*^9, { + 3.71576833876939*^9, 3.715768365847624*^9}, {3.7157683959956913`*^9, + 3.7157684233676023`*^9}, + 3.715768717829391*^9},ExpressionUUID->"d0537aec-9949-45e5-a2c5-\ +928bc03a5102"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/sethna/doc/essential-ising_doc/figs/fig-series-data.dat\ +\>\"", ",", + RowBox[{"Transpose", "@", + RowBox[{"{", + RowBox[{ + RowBox[{"Range", "[", "15", "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], "yy2"}]}], "]"}], + "]"}], ",", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", + "#", "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}], + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}]}]}], "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], "yy2"}]}], "]"}], + "]"}], ",", + StyleBox[ + RowBox[{"PadRight", "[", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"1", ";;"}], "]"}], "]"}], "]"}], ",", "15"}], "]"}], + FontWeight->"Bold"]}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.715887754368169*^9, 3.715887865314138*^9}, { + 3.7158879026255207`*^9, 3.715888050650939*^9}, {3.715888951157432*^9, + 3.7158889557254267`*^9}},ExpressionUUID->"d7fe5e98-a9bb-4f8c-8a66-\ +7fc239297903"], + +Cell[BoxData["\<\"~/doc/research/sethna/doc/essential-ising_doc/figs/fig-\ +series-data.dat\"\>"], "Output", + CellChangeTimes->{{3.715888034892806*^9, 3.715888052182344*^9}, + 3.7158889564656153`*^9},ExpressionUUID->"eefe2cd0-7c59-4190-9865-\ +636b74d1e4da"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"runtilsuccess", "[", "expr_", "]"}], ":=", + RowBox[{"Check", "[", + RowBox[{ + RowBox[{"ReleaseHold", "[", "expr", "]"}], ",", + RowBox[{"runtilsuccess", "[", "expr", "]"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.715507944748835*^9, 3.7155079645992107`*^9}, { + 3.715719536508127*^9, + 3.715719536939907*^9}},ExpressionUUID->"580d8b00-dbba-4d06-88e8-\ +a277b6c7ab4b"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"FindRoot", "::", "imag"}], "=", + "\"\\""}]], "Input", + CellChangeTimes->{{3.715506039634975*^9, + 3.715506051689644*^9}},ExpressionUUID->"fe8a02f2-6bdc-4b19-847f-\ +6536d336b5b4"], + +Cell[BoxData["\<\"Imaginary solution.\"\>"], "Output", + CellChangeTimes->{3.715506052398995*^9, 3.715712886091453*^9, + 3.715719401658792*^9},ExpressionUUID->"e083fb63-2b9e-41aa-b7fa-\ +ebeadf276643"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol5", "=", + RowBox[{"runtilsuccess", "[", + RowBox[{"Hold", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"If", "[", + RowBox[{ + RowBox[{"0", "\[Equal]", + RowBox[{"Im", "[", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"1", ",", "2"}], "]"}], "]"}], "]"}]}], ",", "#", ",", + RowBox[{ + RowBox[{"Message", "[", + RowBox[{"FindRoot", "::", "imag"}], "]"}], ";", "#"}]}], "]"}], + "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "7"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "7"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "5"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"xc", ",", + RowBox[{"xc", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "/.", "sol4"}]}], "}"}], ",", + + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "/.", "sol4"}]}], "}"}], ",", + + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "/.", "sol4"}]}], "}"}]}], + "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "19", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}], ",", "#"}], + "]"}]}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "12", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "5", ",", "4"}], "}"}]}], "]"}]}], "]"}]}], "]"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714835128182406*^9, + 3.7148351701917686`*^9}, {3.714835372115904*^9, 3.714835579009191*^9}, { + 3.7148360624561443`*^9, 3.714836155911949*^9}, {3.7148361995373497`*^9, + 3.7148362027018843`*^9}, {3.7148362348663597`*^9, 3.714836263594763*^9}, { + 3.714836366405016*^9, 3.71483637752115*^9}, {3.714836510342329*^9, + 3.714836526077055*^9}, {3.714837177097157*^9, 3.714837243129307*^9}, { + 3.714837287186837*^9, 3.714837379443421*^9}, {3.71483744582321*^9, + 3.714837542699903*^9}, {3.714837973050202*^9, 3.714837985908637*^9}, { + 3.714839513686248*^9, 3.7148395307010183`*^9}, {3.714839584176551*^9, + 3.714839591006164*^9}, {3.714839628105525*^9, 3.714839635062788*^9}, { + 3.7149929813211308`*^9, 3.7149930572751303`*^9}, {3.714993201387678*^9, + 3.714993276113892*^9}, {3.714993514627927*^9, 3.714993573711721*^9}, { + 3.714993618272176*^9, 3.7149936319932013`*^9}, {3.714993712670537*^9, + 3.7149937312517977`*^9}, {3.71541115155973*^9, 3.715411254028701*^9}, { + 3.71541129443456*^9, 3.715411392715787*^9}, {3.715473144458869*^9, + 3.715473197523966*^9}, {3.715473248373102*^9, 3.715473248612637*^9}, { + 3.7154732996859293`*^9, 3.715473317472999*^9}, {3.715473415747802*^9, + 3.715473415831283*^9}, {3.715473652598501*^9, 3.715473730732518*^9}, { + 3.715473945336072*^9, 3.7154739673040543`*^9}, {3.715474038897962*^9, + 3.715474063809554*^9}, {3.71547426166113*^9, 3.715474263789453*^9}, { + 3.715474378470887*^9, 3.715474400638853*^9}, {3.71547445398438*^9, + 3.715474494776479*^9}, {3.7154745337057962`*^9, 3.71547453415338*^9}, { + 3.7154745987071657`*^9, 3.715474598810088*^9}, {3.7154746764088583`*^9, + 3.715474755672414*^9}, 3.715474799083167*^9, {3.715474856251543*^9, + 3.7154748680297527`*^9}, 3.715502340731983*^9, {3.7155025252693567`*^9, + 3.7155025264094954`*^9}, 3.7155025660195312`*^9, {3.715502625283226*^9, + 3.715502684735441*^9}, {3.715502727174329*^9, 3.715502761500744*^9}, { + 3.71550303478548*^9, 3.715503042129369*^9}, {3.715505176290502*^9, + 3.715505202391337*^9}, {3.715505965944528*^9, 3.715506026412611*^9}, { + 3.715506058473138*^9, 3.715506169490987*^9}, {3.71550702420149*^9, + 3.71550702724295*^9}, {3.715507774421447*^9, 3.715507798453199*^9}, { + 3.715515216617305*^9, 3.715515251876174*^9}, {3.715517412543662*^9, + 3.715517432158535*^9}, {3.715554973591434*^9, 3.715555079940893*^9}, { + 3.7157194122547293`*^9, 3.71571943165329*^9}, {3.715719546237018*^9, + 3.715719546324581*^9}, {3.715733738106241*^9, 3.715733738434267*^9}, { + 3.7157686260985193`*^9, 3.715768664369363*^9}, {3.715775885340642*^9, + 3.7157759170800734`*^9}, {3.715875571572062*^9, 3.7158755971067467`*^9}, { + 3.715887662278076*^9, 3.715887662417252*^9}, {3.715900862571582*^9, + 3.71590086690333*^9}, {3.7159009517242613`*^9, 3.7159009866761208`*^9}, { + 3.715902856773275*^9, 3.715902893610907*^9}, {3.715935961153349*^9, + 3.715935979510194*^9}, {3.715961193433967*^9, 3.715961221618577*^9}, { + 3.715980872447155*^9, + 3.7159808912630453`*^9}},ExpressionUUID->"749e47d7-430a-4092-a5d4-\ +4bc4d84bed05"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"0.4490150206374632`\\\", \\\",\\\", \ +\\\"1.3494664253787012`\\\", \\\",\\\", \\\"3.1147756888411786`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"26.294680670140043`\\\"}], \\\",\\\", \ +\\\"226.5176118890561`\\\", \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"9\ +\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \\\"0.7838376312892006`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"0.7388443040203931`\\\"}], \\\",\\\", \ +RowBox[{\\\"-\\\", \\\"0.9600074721856626`\\\"}], \\\",\\\", \ +\\\"0.5939864225257288`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.1708788333043163`\\\"}]}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 436, 419, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715900987894046*^9, 3.715902866044869*^9, 3.715902896380412*^9, + 3.7159359837867403`*^9, 3.715961228921379*^9, 3.71596439653344*^9, { + 3.715980886681781*^9, + 3.715980902391446*^9}},ExpressionUUID->"3998e257-5fe7-4c35-aa11-\ +3d77619c5102"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{RowBox[{\\\"1.550603961777087`*^-8\\\", \ +\\\"+\\\", RowBox[{\\\"0.`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\ +\", \\\"0.7176995062631778`\\\", \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.16451397798881007`\\\"}], \\\"+\\\", RowBox[{\\\"0.`\\\", \\\" \\\", \\\ +\"\[ImaginaryI]\\\"}]}], \\\",\\\", \\\"73.11705376814565`\\\", \\\",\\\", \\\ +\"225.39181188819302`\\\", \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"9\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +\\\"0.8422582802647902`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.6729388678634365`\\\"}], \\\",\\\", \\\"0.9418328950846462`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"0.08697893974422444`\\\"}], \\\",\\\", \ +\\\"0.4787465260690906`\\\"}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 436, 420, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715900987894046*^9, 3.715902866044869*^9, 3.715902896380412*^9, + 3.7159359837867403`*^9, 3.715961228921379*^9, 3.71596439653344*^9, { + 3.715980886681781*^9, + 3.715980913384816*^9}},ExpressionUUID->"2dbd5caa-8bdd-4363-9118-\ +54b4624ba5e4"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"0.8513478465971532`\\\", \\\",\\\", \ +\\\"0.4020008844914488`\\\", \\\",\\\", \\\"2.090688772381635`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"0.12670018660793014`\\\"}], \\\",\\\", \ +\\\"226.023342403176`\\\", \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"9\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \\\"0.026665563868184083`\\\ +\", \\\",\\\", RowBox[{\\\"-\\\", \\\"0.29867843218941337`\\\"}], \\\",\\\", \ +\\\"0.8294368300983583`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.5203499323934788`\\\"}], \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.3628033687282244`\\\"}]}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 436, 421, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.71598092416011*^9},ExpressionUUID->"6c94a0e5-f6af-4677-bb35-46e563e376b9"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"jsing\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 436, 422, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715980924201277*^9},ExpressionUUID->"c7f450df-92f9-47e0-9f47-\ +514e2c98121d"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 436, 423, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.7159810493607597`*^9},ExpressionUUID->"9aa979c7-0d72-4dca-9874-\ +4dce78630880"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 436, 424, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981060314795*^9},ExpressionUUID->"c68e81ee-2178-4539-868a-\ +0f18509ccbbb"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 436, 425, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981071258236*^9},ExpressionUUID->"96cfa5ef-529d-491e-a559-\ +bb5a41cd3e57"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 436, 426, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981355702652*^9},ExpressionUUID->"c1c01b41-135f-45e4-a861-\ +1108366415ec"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"imag\\\"}], \\\"MessageName\\\"]\\) will be suppressed during \ +this calculation.\"", 2, 436, 427, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.7159813557077847`*^9},ExpressionUUID->"9cd6ff1c-b365-4320-9adf-\ +8f625971cc43"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 436, 428, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981381373726*^9},ExpressionUUID->"e3cf87f3-6f61-461e-b9c3-\ +d443802b4f0a"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 436, 429, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981523519822*^9},ExpressionUUID->"def08d10-e580-4f50-8fcd-\ +5e3960f5c424"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 436, 430, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981736901116*^9},ExpressionUUID->"6d54c954-966b-46ed-b4f2-\ +a9b69e7eced2"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 436, 431, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981842738133*^9},ExpressionUUID->"727b0834-a99b-4130-b1b6-\ +56f7771b8c26"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"cvmit\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 436, 432, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715981842741952*^9},ExpressionUUID->"add75f2d-0e4e-4463-963a-\ +da0fbb874ce7"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 436, 433, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715982092748337*^9},ExpressionUUID->"4191b46e-205e-42d0-b6b8-\ +d7b483ad2ad1"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"lstol\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 436, 434, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715982092752666*^9},ExpressionUUID->"b0822fc8-c01d-429c-b02e-\ +44a6f86fc63e"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"0.`\\\", RowBox[{\\\"15\\\", \\\"/\\\", \\\"4\\\"}]]]\\) \ +encountered.\"", 2, 436, 435, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612047833*^9},ExpressionUUID->"1b77d225-920f-49e3-ac22-\ +1d5b3e685eb9"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"0.`\\\", RowBox[{\\\"15\\\", \\\"/\\\", \\\"8\\\"}]]]\\) \ +encountered.\"", 2, 436, 436, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.7159846121174593`*^9},ExpressionUUID->"15b9701d-93c2-464e-b18d-\ +b684fd91eab4"], + +Cell[BoxData[ + TemplateBox[{ + "Infinity", "indet", + "\"Indeterminate expression \\!\\(\\*RowBox[{\\\"ComplexInfinity\\\", \ +\\\"+\\\", \\\"ComplexInfinity\\\", \\\"+\\\", \\\"\[Infinity]\\\"}]\\) \ +encountered.\"", 2, 436, 437, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612121286*^9},ExpressionUUID->"60fc7b1d-6b12-4db1-9b21-\ +fe29edec0f26"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"0.`\\\", RowBox[{\\\"7\\\", \\\"/\\\", \\\"4\\\"}]]]\\) \ +encountered.\"", 2, 436, 438, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612127398*^9},ExpressionUUID->"bde27475-95ce-4829-87be-\ +e9a3efadbf66"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Power\\\", \\\"::\\\", \ +\\\"infy\\\"}], \\\"MessageName\\\"]\\) will be suppressed during this \ +calculation.\"", 2, 436, 439, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612191333*^9},ExpressionUUID->"cb74fd21-9bbc-46e6-9545-\ +b0a68e5c782a"], + +Cell[BoxData[ + TemplateBox[{ + "Infinity", "indet", + "\"Indeterminate expression \\!\\(\\*FractionBox[RowBox[{\\\"0.`\\\", \\\" \ +\\\", \\\"\[Pi]\\\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"-\\\", \\\"\ +\[Infinity]\\\"}], \\\")\\\"}], \\\" \\\", \ +SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\\\", \ +SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], RowBox[{SuperscriptBox[\\\"2\ +\\\", RowBox[{\\\"5\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \ +SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \ +RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]}]]\\) encountered.\"", 2, 436, 440, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612195063*^9},ExpressionUUID->"f7a890bd-31d8-4666-9550-\ +6e66c4f800a6"], + +Cell[BoxData[ + TemplateBox[{ + "Infinity", "indet", + "\"Indeterminate expression \\!\\(\\*RowBox[{\\\"ComplexInfinity\\\", \ +\\\"+\\\", \\\"ComplexInfinity\\\"}]\\) encountered.\"", 2, 436, 441, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.7159846122086363`*^9},ExpressionUUID->"698cff4f-f5bf-4b7e-9214-\ +fc21a508fac0"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Infinity\\\", \ +\\\"::\\\", \\\"indet\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 436, 442, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612263557*^9},ExpressionUUID->"68b82b47-f33b-4fc6-bd9d-\ +44a40e6252c0"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "nlnum", + "\"The function value \\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\",\ +\\\", \\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\"}], \\\"}\\\"}]\\) is not a list of numbers with \ +dimensions \\!\\(\\*RowBox[{\\\"{\\\", \\\"19\\\", \\\"}\\\"}]\\) at \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"642.6931291815846`\\\", \\\",\\\", \ +RowBox[{\\\"-\\\", \\\"35.85468033923924`\\\"}], \\\",\\\", \ +\\\"1.0841194440365445`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"34.997506298614084`\\\"}], \\\",\\\", \\\"770.2083133563896`\\\", \\\",\\\ +\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"9\\\", \\\"\[RightSkeleton]\\\"}], \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"3829.2727966411003`\\\"}], \\\",\\\", \ +RowBox[{\\\"-\\\", \\\"1078.5931610705697`\\\"}], \\\",\\\", \ +\\\"243.40342378344337`\\\", \\\",\\\", \\\"3.999537477154636`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"0.29960162206585733`\\\"}]}], \ +\\\"}\\\"}]\\).\"", 2, 436, 443, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.715984612276738*^9},ExpressionUUID->"e0449f5c-8dc6-4c49-9a3c-\ +0511be176418"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "nlnum", + "\"The function value \\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\",\ +\\\", \\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\", \\\",\\\", \\\"Indeterminate\\\", \\\",\\\", \ +\\\"Indeterminate\\\"}], \\\"}\\\"}]\\) is not a list of numbers with \ +dimensions \\!\\(\\*RowBox[{\\\"{\\\", \\\"19\\\", \\\"}\\\"}]\\) at \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"1.5953114601507103`\\\"}], \\\",\\\", \\\"1.4969512399282672`\\\", \ +\\\",\\\", \\\"1.4393658563862257`\\\", \\\",\\\", \\\"0.18388659734146598`\\\ +\", \\\",\\\", \\\"0.5111971717039253`\\\", \\\",\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"9\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +\\\"505.3371975649022`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"120.43543764162916`\\\"}], \\\",\\\", \\\"12.025754059543878`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"1.8954046526237065`\\\"}], \\\",\\\", \ +\\\"0.42605777516548227`\\\"}], \\\"}\\\"}]\\).\"", 2, 436, 444, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.716002673220509*^9},ExpressionUUID->"273bfde0-f6a5-4aad-a38c-\ +b9cb9dbd8a9c"], + +Cell[BoxData[ + TemplateBox[{ + "Divide", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \ +RowBox[{RowBox[{\\\"0.`\\\", \\\"\[VeryThinSpace]\\\"}], \\\"+\\\", \ +RowBox[{\\\"0.`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}]]\\) encountered.\"", + 2, 436, 445, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.716005012818861*^9},ExpressionUUID->"7b92f605-d5f0-42fa-a932-\ +40ebc1b15631"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "nlnum", + "\"The function value \\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{\\\"1.9406243900731273`*^80\\\", \\\"-\\\", \ +RowBox[{\\\"1.591007601346373`*^80\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", RowBox[{\\\"3.8531755896439347`*^123\\\", \\\"-\\\", \ +RowBox[{\\\"4.0421378342178484`*^123\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", \ +RowBox[{\\\"9.880349045585212`*^166\\\", \\\"-\\\", \ +RowBox[{\\\"1.3301801858545102`*^167\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"14\ +\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +RowBox[{\\\"2.858814258064664`*^37\\\", \\\"-\\\", \ +RowBox[{\\\"1.808785377181822`*^37\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", \\\"Indeterminate\\\"}], \\\"}\\\"}]\\) is not a list of numbers \ +with dimensions \\!\\(\\*RowBox[{\\\"{\\\", \\\"19\\\", \\\"}\\\"}]\\) at \\!\ +\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"8\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"9\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"10\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"11\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \ +\\\"6.476762295152072`*^-6\\\"}], \\\"+\\\", \ +RowBox[{\\\"3.0611483843376586`*^-6\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"1.0286604883066788`\ +\\\", \\\"\[VeryThinSpace]\\\"}], \\\"-\\\", \ +RowBox[{\\\"3.814844365748589`*^-6\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"15\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"0.6232252389368115`\\\", \\\"\[VeryThinSpace]\\\"}], \ +\\\"+\\\", RowBox[{\\\"0.00010905716941928902`\\\", \\\" \\\", \\\"\ +\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.28054992458580236`\\\"}], \\\"+\\\", RowBox[{\\\"0.0005070856028847011`\ +\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}]}], \\\"}\\\"}]\\).\"", 2, 436, 446, + 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.716005012828833*^9},ExpressionUUID->"f27f5887-413c-4956-bdb4-\ +c0528c0bca2e"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"nlnum\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 436, 447, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.716005012873213*^9},ExpressionUUID->"400e9a3a-740d-4d24-9659-\ +9dbc7da3b1af"], + +Cell[BoxData[ + TemplateBox[{ + "$IterationLimit", "itlim", + "\"Iteration limit of \\!\\(\\*RowBox[{\\\"4096\\\"}]\\) exceeded.\"", 2, + 436, 448, 30813683519126861971, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.715900987894046*^9, 3.715902866044869*^9, + 3.715902896380412*^9, 3.7159359837867403`*^9, 3.715961228921379*^9, + 3.71596439653344*^9, 3.715980886681781*^9, + 3.716006332893198*^9},ExpressionUUID->"55b36c47-ecc2-4c68-9a66-\ +af03015d08c6"], + +Cell[BoxData[ + RowBox[{"Hold", "[", + RowBox[{"runtilsuccess", "[", + RowBox[{"Hold", "[", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"If", "[", + RowBox[{ + RowBox[{"0", "\[Equal]", + RowBox[{"Im", "[", + RowBox[{"#1", "\[LeftDoubleBracket]", + RowBox[{"1", ",", "2"}], "\[RightDoubleBracket]"}], "]"}]}], + ",", "#1", ",", + RowBox[{ + RowBox[{"Message", "[", + StyleBox[ + RowBox[{"FindRoot", "::", "imag"}], "MessageName"], "]"}], ";", + "#1"}]}], "]"}], "&"}], ")"}], "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "\[LeftDoubleBracket]", + RowBox[{"1", ";;", "7"}], "\[RightDoubleBracket]"}], ",", + RowBox[{"eqsm", "\[LeftDoubleBracket]", + RowBox[{"1", ";;", "7"}], "\[RightDoubleBracket]"}], ",", + RowBox[{"eqsh", "\[LeftDoubleBracket]", + RowBox[{"1", ";;", "5"}], "\[RightDoubleBracket]"}]}], "]"}], + "/.", "\[VeryThinSpace]", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}]}], "/.", + "\[VeryThinSpace]", "#1"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "\[VeryThinSpace]", "sol4"}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "\[VeryThinSpace]", "sol4"}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"xc", ",", + RowBox[{"xc", "/.", "\[VeryThinSpace]", "sol4"}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "/.", "\[VeryThinSpace]", + "sol4"}]}], "}"}]}], "}"}], "+", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"1", " ", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], ")"}], "/@", + RowBox[{"Range", "[", "19", "]"}]}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}], ",", + "#1"}], "]"}], "]"}], "&"}], ")"}], "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "12", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "5", ",", "4"}], "}"}]}], "]"}]}], "]"}], "]"}], + "]"}], "]"}], "]"}]], "Output", + CellChangeTimes->{3.715902122528335*^9, 3.715902866247622*^9, + 3.715908740971714*^9, 3.715947311761836*^9, 3.715963229216793*^9, + 3.715978916431769*^9, 3.715980886955101*^9, + 3.716006332910119*^9},ExpressionUUID->"496f55da-cf1b-43f9-abc2-\ +b6964714c052"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + "[", "\[Theta]", "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol5"}]}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714808243331522*^9, 3.714808245322274*^9}, {3.714837252376389*^9, + 3.7148372526476994`*^9}, {3.714993287664439*^9, 3.714993292931672*^9}, { + 3.715473423528088*^9, 3.7154734267434*^9}, {3.715473561345592*^9, + 3.715473569770239*^9}, {3.715505447337924*^9, 3.7155054531762342`*^9}, { + 3.715900648662726*^9, + 3.715900660419462*^9}},ExpressionUUID->"d018ad21-fffb-496d-9b63-\ +92b47b76f971"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwtmnk81N/3x2WbCSFLUVr0KVFCtiQ6dpIKRdEiS7KGUkhEkSWEaJGKiFLZ +mbHet33Pkl1ZZsZuBjOKVPze38fj99d9PB933veee87rnHPv4zGSdh7m19jZ +2NgIHGxs/xsPn2XNqMldOi77/2OQYaht1sBRmFRSPvy/8aWXMNfNgRNQrtCk +64WPGY8Gey0GrOD98U2d5vgou7kSGQ44w0xy6etj+OjRK1+oNeAH1HSFQAF8 +3FziJKc5EAFiFZI+7v0RYHcg1PXYwEs4keay+UzPS/jxgndD+HwW5B452qLb +kQW/bTYV2rAXAtWTvhu+FEBS75kKbolCMCiRkl+rLQCNU/H1X1QKYYOY/O3C +7wUQqL514I9TITwwPinPzVcInKKSa8/b8e/vef5RdykE/mZlo47kIujlnxH5 +urcI9ihf+q51hAQ2t0Quf4krhpqsN+OTpiRYL9z4SvhDMThIjjFiXEjQQZur +casshkx+xw0/XpOgXOCD+vJMMchOe0j5cZIhVzjW2UmXBKpvHnrmdZIhkl5y +5sUiCYyJnzj3uJWC8DudWA6dEjjvMfThZ1gpHFhMPX74Qgk49PKeakorBUnj +Q/tP3CiBwHS3RM+hUtDzCstTTSqBPC05KWRcBr67rEc3LJaAmF+e4SWZciDo +yrNLJpXC5DQp8tlEBRztv3Utt78Mlkyn5FzYK8HguYxQ5mwZsJHFvmnurIT7 +45XR99fKYNsjv+3jFpVA/pTR1P1fOZzec+yzUl0lqJsY7ye6l0OxdWVbRxqC +gdLYxjO/y6H6ml14aC4GBqWkCrXlCnCzeZYZXIEBn9d5p0HOSthi1Vwf0IyB +yNb34lZCleBiosh1h4ZBuuMvnznZStisxP7AUawKsq5dcra/WglX2d75GwZV +gW5+iP1ZrBJ4VnuSdKOrQPNeCk96SyUUsjaWQlIVvC4rUG3rrQTipNfKkcIq +cIrLZmXOVUJOm/Zt6akqUIm1aLmzBcFa0tiNjabVsD+o0P6IHYIPCaIxXJer +4azvpuE5FwTmMSe+bHCpxu3eteXOLQQZwXmzvx9WQ2i5Vwh7CIJTTsFOM6Rq +EDmWlL36DsEv26KwidpqKCo9666fhSDl4nQGpbMaOFbk3W3zECydNhsfnK0G +mbOadF6EIFlF0q5lVw3s/GfMu6cfgYG8RXCDbA30TtxdpP9AsCAdkVJztAbU +bLSjwqkIdCUWh8vO1kDojy8J0gwEc6L71khXa0B6wujSIRaCZwJWOwrda6BQ +4lrU+jKCGfaqi5/DamDDZbJrKBsGCX+X7n5IqIEA4tH3qewYHP8lnZSeWgOU +SL7ZNE4MpuYvlaRk10D1HrpQFDcG8dOx/cllNXD/vQ/TioiBBrV2+UVjDVz/ +cNBmEw8GE99XtiT21IBYlqtcBi8GRzuuWkTP18AFuYgTYfwYiFXzVr/9h6+n +6ec7LYDBSkGxXD5vLaTOxz4/uBmD/ve2r2rFa8HZvt/jlBAG5Od8xL79tXCB +83DzaWEMXkSQvKdVauFQi4WHvAgGPv52Y390a8EzaGj/PM6W7ptO85vXgsa6 +Qnm0KAaqNuTS3VdrIdf37RLPFgy2mNnvV7pRCwMk45eOOP/S4U/Qv1cLCo6H +b6bg3KtcwnYhshYKTA8ZknEuknJwd3lRC7e+sEa+4JwgJjB4L6MWWmxFOYNx +9uYpNXhSWAs8J9bvHsb53F+HgtTqWsD8V3kRvr8yQ2B3YUctxD6XDZTBWWS0 +NKp+uBaCCC9eeOL2LnVe+90/VwvzJhJ7EvDzddcIOs6u1gLHiTtjT/HzFxSV +df0j1sGXR1qvPXD/xGc6guDWOpAJZW3fL4jBzZebP+/ZVwf7OSb+K8X9a/64 +XExFqQ4sjE/5S2/CQDHgeqihdh288tec8sLjIeQhxLQ6Uwc1Qx8Vnm3EYPFq +xRW3y3WA7b62LZGAQYe5U0ugax24I0nXG1wY5OoJq8X51cHo0ZtTkhwYxKpW +pqeF1YHGjabzObh+PKWdNxcn1oFa68+/sn8RyPOhmcG8Ophbh02UBQT8a87n +6Qifx7RpDTMIGPMitettdbBPX87choYg+5vL670zdVCa6iyW2osgpk6U58hK +HVSu/3pg3I7AnYTdOcFdDxfv0T+kNSCQfbXF9Maeegj2lDhhT0LAF11VHqRQ +DxYmrd8as3H9B7rJPD1eD70OPerf3yP4ZFfNTrauBw9qeDnPUwQHDtwo2vC0 +HkYL/1zwc0bAIyG+RyS1Hpri7sVrXcHzY1NtjFROPVxYPTKaZ47g46K408mW +ehiQSuyIVUcgXVK3LZGjAVJvCaYrciMgfvIMy9zcAFxHJ3dprlTCZPL2pZJd +DSByOXuIPl0JGUFebcPHGsBY8dU+rdZK2Ge0I0jauwGot8v9k6IqQc6RXf13 +cAP0F9g0i92rBLWQSVbTkwY402o5rOFaCcZY3nXXTw3ArvY50NuoEm6oGZzJ +pjTA3ccFhQlrFeBjeXDj/YUGELXM0lGerYAgb8GaM2sN4Hopknq7rwKe5g6q +Loo3woGRpw9+ZFcAWdpjp7JZI0iMl8sftqqAKoNz/Zw2jeC2v+xMt04FNDsc +je9xawSyl1CTqGwF/Ejh4PYJb4R0adVpr3/lwC7+gl6CGqHONrE2+FU5mGys +Kge5JrB8rdX9rLYMLPZn3BHUaILuQCWTycwyuKL/WGHsRBNYDI8mfY0sA69g +i/QH15rASbdnwOZMGTz7Pf24LrkJrH/uybr/rRRGp4UunuRthnfy20aNG0pg +mrAiIiHeDHxtUtIdaSXA3Pfj65xUM1jw85TS7pcAl12mToxOMx6v+b4S1RI4 +MHjsQKdfM7z0uVnH/ZYM3s0Ovy2nmuF++9PGKisSpGRfY1P/2Qz+g4dOThwm +QVu8I2EHewt4R3krvdtIAqmLTqLU7S3wpaYye5hUDAOzroc9zrTAgpJepo1A +MRzfdMs5rLgFRptcH8tmFYLL4i1Pl5oW0JvPb3npXwjPe7x9TnW0gJRqs80L +k0JYeH0nVHimBVyvJ20wohdAmtzd1Lc7WsFO/XS6o0wBEE2DB0ghrfDXE+6f +isoDZeUHo0lxrYBtb199Z5kHtmIPJwPetMLFB4NfH+7Og9LRkJ+65FawPpPC +NZGfC+5e4Zs7Zlvh7rlNhXrpOdAV/+TElHkbLO0enTNd+gSve16XiEl+hWuS +IWI1Q2nAli/KLyT/FZLE3q/JGqSBXUy0Ha/mVwhMmrjknPMOpAwDeNcufAUj +c58li8BUyCVfukyN/Qo5HuUfWra/gdpX2zdks7WDxmHNbUcnnsKc7Usj3dF2 +OGi07n1ygz06fXzzaw1GOxhyTBcFdNxAedsiFlX+tsN173jVHda3UZmzxikR +vg6ID7aPt80OQkF7ZH9xS3cA00kjSHE+CvEk8BrN2XQASZGaLKH6Cu30aZ4t +bu+A6fSNU6rWn5CtUUK5Rm8HKOeRzUwUP6N08SvR1d874K+N/tcE3i/oQPmi +3NfpDnB/dE2xqiobqW4QvznO0QkRdE63kzvz0KnH11eE1TqBN5m417K4EN17 +y8nlldIJB8bje9gvlyPk+bXnV0YnsMalIiu/lyN2nRcZ9750AvOySdH2yxUo +nHbQKLy0E3wk35uU2VSiBJmzj9924/P8AmRjVQx9Kkjd/JXYBakpmz55mVej +wYbjOw96dYHdpntNrxrrkWLOe9FYny7QI/6+dnJzA4p8xrfpZ0AXqMrYu520 +bkBHrw3+qYzsAjX7jn8a9Ab0gv3OgHl6F5j90BKe2tKELDS/JNzt64LMf4s7 +3PxaUEf+dt5mzW+gfVngbb1mB2p4vbLsxNMNGbmphpJlPUh9w/YtVpu7IU6F +fewTvQd9dtBUPiHWDV13d/Jc392L4g8+8JSR6oYqq29cHo960aUS3ulp7W5I +D+h0rzvXhxa7dw66+HWD/tp6ZMRqP9rOp1/uNtUNC2sffE67fEced+OCPOt7 +YPFaaILf3BhawrTrplt7wOxtruvbjRTkS2ButP/WAyOW4tcGpCgoKMH8qcVo +D5y6kp0aYUtB8dnCGeqrPRD/y8VrsI+CCimJLZxyveDhLhWr2khFq8ZJW14m +9kLs0K/byaRxFLI97XOVQx+kNzA9qF+n0dmap2Hf9w2Ai2J4PrlpEZ1baNpY +NTwIU8ye+nXiMqoe85Wf9/sOhBfDVhKSf9HMADfn5JFhuEM13Pa+lQ27/2zT +Pen+EXAci/RJl+PAog59/KA8MgLcxRpt9mocWFKtXo/WxAhY/WnV2qHDgRUy +/eWslkaAdDfCPNCCA7u9//aCHnEUBA5X9C37c2BZD6nvbu8dhTHxI9KVDRyY +iAZG6Ls0CsO3pTUNrDmxJAL/zstXRyFjnJSlaM+JSX67qEy1H4UVJVLVVjdO +TM5l+eq8yyjId/xX2RLAiZ14IVdK8BuFE/aGuQMpnFjgUrKbWuIovFHd8eDh +OCc29dmv82XbKDy/6MVETlyYH8cWf4FO/PdKrXWPPLkwHuv8vaHdo/BBeres +vi8XJkuY9fEcGoU93dbhH8K4ME/bSzsNp0chKKzjCjGDC1sRBdclzjFoH+V+ ++t8YF0a8z8l1RmMMvt+RqQo25cZe9qRk18IYlOWuW+w/z40dkNW8oK47BiVX +/2rWXObGTAZuf9pnPAZtQhJjP1y4sVilSbO/58dg0sbF+XUINyY21fTm460x +eJIuaqBZzI3JmD1R4/w0Br+fvKShzQRM5+XN28ezx2BsrJeregsBuzRmke+b +NwbT+eKVpdsJWKyXhCydNAaWbwb6nuwjYCtxH3f11o6B6u8pRoMaAavvquH+ +MDwG/6RDSM6XCdjotkxdytgYTMX5inTZErBVu8ggiXF8/ysnkxUcCZgcy3Q1 +dnYMpH4ECXXcIGCJwsN0v5Ux6Hz4kPb8PgFzOLfSfVKIAo3Bw/H6bwlYYPLQ +5keiFLjSeDxlUxoBe0GrPI2JUUDp5ddbLRkErNU7tFF5FwUWgxwtpLMJmFKi +UPkOWQoc4s+46FhOwNh7ZdPm9SlwnlPGitFLwCR2Co7KnKCA5W9+ouAgAVN1 +ZEk4mFCg2fXp7v0/CJjLr5Jn/eYUmFkO9FWhErDOLYaRVTYUyC5jk+1iELCU +87ZeT/0o8CeBg43AScQaLr/TFg6gQN+fBdM8biLGsKdufhpEAbbl2tbTG4mY +pue1/PgwClwu5ZG15ydig+HOrLhECpSWmXxf2ErE2J9k1Wx+SQFRoXN9StuI +mEzi7NO4ZApESLi0OksQMd9Ud+W4NAqERZtFZ+8mYqKlXrdj8yhwUmu6MUma +iGlg+fqCRRRQfkVjeh8gYg71LNFYMgXOSLtNa8sSsfyu28VPEAX8S22lCuXx +/fuLHwnUUMBAU9jO6jAR2zCybPmkngI+hP5zi4pEzHTWbzmmjQLEx2XGv1WI +mM9iaQN/JwUGLkfrOh8hYm+W/zyP6abAWG3/cIsaEaNzBKrFDFFgS/uPKadj +REyEBxH5R3D7KspOpWng9gmyDURTKEBhXNTu0CRikRIP/KKnKXDuv6aqDVpE +LG9PzYlNdAqEKBzS59YmYv3SnNuiFyignR2s9w9nNnn9Gb4l3D82qmUTOkRs +v8qj0qhlfP2kpvRqXSJ2+lhDJN8fCsyeb/wbq0fE7mgTL0at4efX+Fpppk/E +ak9F/nnMRYXzuZkeWQZEbO5sSwvvRio4mf210DEkYsLWfMmP+aggd9Y6sRVn +9aun3HgFqWDnlClzwoiI2TnGaDwWpoK6aj8/GecIt3Y+3q1UaLFZ0BI/QcRy +bwr+iNxGhbVY9nI3nPt9zb7w7KSCe6TCvXyc1wPjAyIlqSAk+ylgBmep0G+n +ePZRoTMov1zEGLf/scjOSGkqyDQlqhzG+XacBWOjLBUMHhXQAOfk588qI+Sp +cC7Ur14L59rXfTEblahAm3boU8J5Nk3MJkKVCn1q7CLiOAtlWclvVKdCoR3d +dwHfTz03aT1ckwoq7Z3spTjbFg+1E7Wp8NHRJfs2zuHlEinhelS4+zrY97// +naf6sifRiArNAYuXa/Dz9jW+0Qo/iduTn3bRAue1ryOCxDNUUIyNuzGA+0uq +Z/dYmDkVsiRrn57B+dSQbR7BkgrG8ucaSbi/vcfeBYdZUeGXsctGIZz3DhwY +b7mE22/dlO2Cx6e7I99I8CoVckplpEh4/FSwaoGXjlT4yW/64CAe3wmS8a0f +zlTokBy3O4vH/1lOV6+kOxUk28U3eeD6+PWG8jrrFhW8tjwqDgYilvHMZcP8 +HSoknWbk+R4nYpYxTAelu1TIcDnvYY/rrziAXbY8iApXnojIiOB69bm0p7Qt +mgpSbobOFFzv0ueydgjFUaGozl3fRxmP50nFYMsEKhzZndm7jueH2jEdo5Ek +KjQebBSaw/NpRdyudyGTCo9qitsUZIjYh80zR1U+UcFv02Y5+/1E7MLGm6/9 +sqlw70nO0Yh9RKxkJdiBvYgKwu+rTudKErG7falM4WoqdI9onHcRJ2IH2mUs +L9Th9srYrxzF68NgfV5JciMVXn6QOf5PBI9ncVXQvnZcb5ZqRVcEidifhDH+ +I9+psI03UTcarz+fo5xv+o/g3/e/+vObg4hdClnsQRQqBF7tPme9gYiV39rw +2mga95en+MzPPwTsnrnkQetfVFD4FvL6xQIBkzX+GPPmNxVmRs5cekcnYN+1 +DzMpf6lg9HBH+dsZAqZ5WLvElYMG17BUm9s0ArYmYGsYIEgDvjvnIaqPgN1v +S7FPOUCDOo3tPU5lBEzd1Me6+xANSoxEKxGJgC11nTIjHqYBZcWqlacQr7f9 +q8c9j9CAZVZ0KeAzATtHPbdNS48GO25zu3YnEzDp38TOkcs0mDc2szrpT8Ao +/iMNwrY0cNdblhq/Q8BerxVVGjrQQM7stPytmwRMiNP+c44LDW5MSiy7OhOw +v/wVYfd9aFCzdu55hyVez/d6Hd8VRwN9RwHadXkCFpVpqHI2gQYfM48bGxwg +YAYHdsqGPafB11W2TeJ4vyuXbxGff02DoeIb+a+2EbAM9X0/K7NoMGiwVi/K +RcDumg58ulJLg3d3y2JH+rix/+5pi79ZpgG79F2eUW9ubK78dtrWP7h9vhwt +mDs3Vvjv46G4NRrcPZVikeDIjendF9IJ4RoHfkmZYeEL3JjDA6qLi/A4XNzQ +c/a2OjeWHh5ario/DgngXVf/lwvbm9hk0+44Dm7S5+a++nBhcz3/po1cxqHq +5zU3EQ8urHCLone1+ziwF0kGnXLkwvReJIUXeY8D+ZN+UNI5LszhlWveqwfj +kLytpDhFgQtLT93E4fRmHH7rXml3mODE9mabZbD1jkOo97FCrhOc2O3R1prj +A+Ogpivleg84sXoho7F738ch79w19WkVTszJ57jEb8o4ZNXmar3fw4l90joY +vzg/DkES/fWZfzgwxW+cgZSNEyC6q6PgxycOTGuFZFGrOQElkyFnDbk4sIs6 +O7nC309AXJDBw41vNmDzVtbHvB9NQs4nix1H7P8iCeWj+vr2UzC6n4hWuX6i +IM/u3ccOT8O1tNiwOt45pK0w8i1RcAZIzLKg7H1DqNGE2dknPANfTuX8t1g5 +iEyduTrEt87AwC4BP4cLg+jqu4Otr3fMQMq6fs3w4wEUJOJb+/7ADDDto+7L +/uxDlSuCRUV6M/DXSns1qLMbaVTpPOvxnQHaYtyszvU2pGaecUF0bAY+CCXf +Ohf5ETX/JswY0GbARCl6Tn4wA11Kdfb3nZwBaaxp/IBsOgpekH0zRJ8BA3JM +guCX16g5poCaujoDFzomxfxFgtGlFuyGnMgsSCukO1/1ToEgvaEQQ8NZ0Cvk +km4ULwehOY0tfsazcCKtl7/3VAWkP32TmXVqFu9H2Q8KgiqhiWLbvOncLIRG +MYrcvDAQCp4S6L46C9DDELjUWg3pFT+Trt6dBZf31yhrDg3QqCqY5/dlFvb/ +G207JtABTsntPQu5s2C0zLbCeaEDiOxPVq8XzoJYkhjDLaUDDNs26VmWzYIv +97yNmEIn1Nvz9ik2zcLei7JufcZdUBPL/W+WNgvdwUMLje7dUDnz1+iKxBwk +86nLKjv1wxXTcveeXXPA9jZku296P6wV+ceb/DcHQUsDyhaj/aAZvDqkfmAO +0mLfXx20HIDyrSs3tqrNQWex7J5NMAileqyEjrNzwKWcNLD6ZwiK3kyP6jye +g55HSxNm+0dg+Of8i8CYOajJu7rL7iz+jjj1y7Q0bg6s5m+5brk/Ahf+sFcd +fjEHHwzKd7r2jMDqeYnU3e/ngFBsJ045PgrHN5+xXaucg65bfndfDI+Co5OF +uHr1HFwy6Z5Di6PwBF3svF03B+8aDIxL8Hv6qLuTNr1lDsY0SY2SB8bgQXOw +5Pf+OdhS/YLVdHMMGh4WjpUw50DstfS8758xWBgsffnz5xyEWS7RES8FxBSr +zA7/noPojsUNA9sp4DLaVvVhfQ7OK64FBB+jAJ/mZOpzPjpEe3269tmXAqa/ +xO1uS9FBqV34u8cMBXxP7d6WJ0OHLSHzB4bwe1BqulTXnCwd2Hd0bRDH7zlM +cyUdByU67KjQv8G3iwoJOSZ7zmrRYal+wOabKRUGnO5TFKzpMHG/MWgW71OC +gdRD+Zfp4ME14+JIwvv8U0M/JVs6zPasV3/G+1J+hYCgqhMdpEXkuJL7qRAp +lKJ57A4dcpKXRrjZaYDt54wo96ND5LSz/ggvDX5pOHVrBtDhWjd7wUNRGthd +V3DVCqHD+XPTqwrSNFAvx17ox+PfV75I2XWSBp6de2n1iXRw70jMtD5Lg4yJ +cHmjl3TIk+BxtrtIA6HNZvXGKfj6ti/8+/G6biRVtLk1jQ7yduifwU0aBB4T +v3wqkw53j/gkP/Cjwcy1MdaZbDp8c65KtA2jwW5/fejMo0NWjPlerhgaWMZ+ +jDQvooP4J68jd/C6X13qJWlRTgfh2Ivnq1JokCTAfsa6mQ5VZLVHa8U06Njr +mDTURgevh1ywuZwG3OrN45c66RCzpfkyE6PBTYf4ezb9dNgvVKW3u5kGH/x+ +NYwO0SFgW9IJ9680GI6xFrYboQP5LelQRBd+pSvZk+UwQYcN7fOCcoM0CPr6 +6Of4ND7/58EZ0g8aFFNntK7T6TDGMp4TGKPB3MrpqKkFOrw4SSWo0Wiwh7+g +z3mJDmKWWjXykzS48N/W/2aX6VA/mA3L0zSIUfO/4fYHt6/l25uYORqs2uly +ebAzwGlvVPShRRoo+GaaLnAx4NfzXXYqLBo4RvMme21kwIPNzmmbftIg+Z3H +JJOPASfrq7yLf9Ggi/RN0VuQAUlKA7/lV2hAbDsS+FOYAS9bCi3v/qbBccqr +pjtbGTCXlJOTuEoD7+V1kZVtDKDR/WQe4H0vi8/hqt9OBrzeKz4Nf2kwKtn4 +aVWSAYZck8LtOG85Irvsv48B4sVx7fL/aGBiEqvzT5oBZerbdexwfmC7FB0o +y4A43oE4R5zJdy4MrMsz4N3srXENnBmPy/cGKzHgvP2k/Ti+3t7U3Z7sR3D7 +nYKVr+JsXRxS9lCdATv/jgV+we0Rr5BPatJkQAXj9IcfuL39NYO+AtoM+Gmf +aj+Bn+d5c+h5Cz0GrD373tmAn9eyU0H1lSEDbuzXFnmA93XR/iGRMWMGoFAT +E1HcP93Dj1hSp3F/bCx5FbxEg/jxw11uZgyodQ3Y28Ckgdnc99z8cwzYHdRK +nFiggSAr7MnKeQZQ+URdhxn4PeO34o3jFxnA4bvhRi4eLxNCxMFmWwZ43Xw+ +NobHl5dfmUfwGu4v3ooX2uM0aBYZmbJwYkDXQkCAPwXPhz0qGWM3cPvETtoE +fqcBQWY0ZP9NBmwwS083HKBBvfxje/fbDDi6Q/HDbA8N9DTHdv/2ZwD/+d/3 +anF9cuhFrR+/z4DhbwYvfuP6rTY+MhzygAGkOwtcPA00gAvRrwQj8P2sJm5U +VNJg7YraXcsoBljVchRfLaVB+TXqheQnDPCl7pwcKcLz+9bRLdLPGPAsyij1 +5mcaqMaMx0IaA/ym14rp+L3qZ0KsR2gGA6oqdsd4x9Og8NWx0y0fGdCr8Ca8 +P4oGih/jeM/nMiBsSjNcLZgGh2o1H92oYICYmJLkZSc8H5qnHAoxBhyXnwrq +xO+BWZ1PdVdrGJCVcNx4L14vpEem2R41M+Bzxlvs2ilcD6uJ/q/7GPCqzLn3 +kgINqGza1tRBBmh7EySa8Hr0jjCnJjPMgG+ZFTtEJfF6Iarzq5DGgBj6XvZT +m2mwXYHh2brIAEFq3GbtBfwd52jg+Id3HiweSy1c/UCFoWXoVxCYB+PfIYmb +3lIhPeKosaPQPOjV5I29TsTfDV9k5TrF5uHK+v7tLg+ocGlJ6FfGvnlgXDr8 +rcgav6c/GAk1h3n4SBL/qsWNvzPf+r7/eHMefGjSyjbGFOA4fHPryO15mGvT +bO3VpEBrtWuEiN88dBSOfDlymAI2E1fc79+fhzAX543FW/F39CF9FYuoeQh9 +NWmYRR2Dr2Wb69gy5uHLjtMXk3zGwK4/i3Z+YB6sno7dnoodBTVp9pmu7/Og +Ptt4/m3QKAj4Ws2fGp0HD5WgRB3PUbwfE1d1J+dhwFdt55kzo7D1/DUBhZ/z +EBhyWiOMbxQmZgR2hBAX4MUudV4LwggkOzcbXtq7AE2PC41nWr8D8Tq85ru0 +ALPp+eIvt/bDajwhb71mAcalT9FX1b5CbjyXYXXdAlwepOoZ0NvgejzHj5CG +BSDNWwwUprZBd9w6kadlAbbtf1W/xtMG2bHLV0W6FqC9/FK79UgL2MVMCsqM +LoBbg5FL/5MmaI5o8DT/uwD72Xp/tojUQVBEHbfo2gLc9yyIGPtaC0ciapL7 +1hcgYd7mjEJELaSHo8ZLHItwVyuy03+tBgLDSLuv8yyCjJkzYWi2GhRDMzv8 +xRYhYEfU0pEuDF4FhSm8V14E/6spYoLvSqC3TjbWRnURVo58bxiULgEh3q55 +cbVFKOzJIinmkiEyUSIn5tgisNdlWEdjJPDNyjvkq7MIY6KcvOxTRWDZPXTg +pOkiiHOkfg42zwchaYV9i674fslBJvNKmXDavSfkk/sirOsbLBtcz4DI/Lu0 +ax6LIDEdJvnj1XvYoFmXNnhzEVrDV2oaiOmwYGa9p9ZvEXymtwV9WEyBNv+Q +Xc/DFuE/J4Hv0mzPILy9X1wzbRHyu0Vk3fftgfBoyZqB9EX4PPM8fNOQKQo/ +6eJ2J2MR3uS+Vg+dtUXhDX8qcz4ugrfdFZ6fF26iCLTTYU/uIpjsv2C1x/oB +isxxyCZULIJh/s/Wlfk4FOn+5Xx65SKo7DbpvLwWjyIP/mLTxhZho+Z7SjRP +AorMDDt7t2YRdilVyZlLPEOP32atzDUtQlH0a/8H+5JQ1JMFna5e3L96zUuf +JlNQ1Kmjczf6FyHHR+Ci++VUFMX7IJF3cBFaClUtJLpwDhOe0vuxCINErnf6 +5Hco+r5qNImK+3tlc0+/TzqK8bjXl7ywCPSoJ8SPtZko5lBd0FHmIjzuppKS +ZD6gmNlNB3pZi5D55ceZR9E4X397T2B5Ec5nuwydNv+InthUSz74twh9z/em +ofYsFHuG6Hadhwn/SJP6a0lf0PO59WEpPia0OWP1e5a/oDcRy2YTm5jQafPn +lJR5NvpcM3Hk2mYmDCQ9Vu/gzEENR+o47MWYIPzMK8pNLhet7Xrw6ooUE+xa +/H5EueUhrgo//p3STHgzOd3KjMtDfNZewT9kmLDxmnxXd3Ee2pZw9fqlQ0zY +rYYiBNfzkAoRlKyVmXCy+yHH/Yh85Lbwp9lChwmNZDkftrACdCuapSmqx4Tt +XqzluPQCdPfAbG63PhPO/ZHakF1VgMIdBp+dPcGEXWL3AyNWC1BaP9nOzJQJ +vcS+/dOOhSjrdm6PoDkT/vTojE8HFaJcoQ9GHWeZYFvmybiXVIgqTZ7LnTnP +hBynY0OXWwvRIHZ71eQKEwqI5lv3HyxCY5fd3fmuMuGh2MR/vdpFaGrVYbTF +lgkX2Soe7LpQhH4qn6s3vsbE+wm/cejDIiT4UTHeyI0JjpPaH0p6ipBh3LyM +3l0mpMRwvvvsVIyEMiMnxv2Z8MtFV9DWtxgNl+9LCwtggqLGC5WWsGLkPXVR +oiUI9995342174vRO2jkNw9jgt/nv7E2w8XI3cK+hRXOhLwe9ZsDs8VIzXUt +LDGSCbexnZ0Cv4tR+zPlDQPRTDDnuOtUJERCf+kpLJsEJl4XYuL/6JBQA4dG +7oZnTPDgMVz2PE1C8eJ9bmnPmXCopSH+oxUJyehvmphIYkLyDZGa6x4kZJns +1++eyoT1PZs05V+QkGS+SKJAGhNQj8WTnlQSmmvIMctLZ4LqnYMF+p9I6CFr +vHkpkwmL7VtyH1WQUK6xeYV/NhO+uLmIvhshIf+rdL8duUxIuvj0yZdJEjK4 +E66K8pgw/fWoQcQ8Cf1IrcxhL8LtX3CIKlwjIZ7fB95FlDGB/yBJdWEbGfXw +1185WMGEqs/ylk8lyShlr+32tkomRMTYD/FJk9ER0+cJgtVMiPx3WOSRMhk5 +ZHKEPW9kAs9uy+H3J8lIvuKN7tFm3B7K42+CZmS02nWUbaiFCafoQxwXLMko +bs3Db2c7E9y8nlEDrpJRpcV31/c9uF5/3aSo3yKjSFcfacM+JnCvOK0l+ZCR +RbDQ+FQ/E9TfRNR+9yejuc9GV2S/4/7ScqERQshInLPItIDChOLZHjH+p2Tk +YrPca0Jjgo6M44j/MzIqLT16eWIcj2e6jVbnSzKy9qp0Fp9mQu67dHaVFDJK +Hm54cH+eCTLp8a7zn/D1j/JsFF9kwunI278+ZJORZqLJk3wmE+rOTRmcziOj +4ZOdr8Z/MsErXnPvlWIy2l0yWHjyLxOUdPvQW0RGniI7jo3/Y8KGTQfv1FaR +UZWHTVXgOhPMrJsf99eQkZ0UrS2PnQX9ioRbHQ1klB8sde4kJwtm9+psKmoi +I44fToM0LhY0Ov56HtlCRulP6RNbN7KA7zkna2M7GS0x5N3zeFjwBpXfKewg +I33jmyxjPhY4Zr40M+siowm25fUAARYw6RIW9j1kJH2DTZwmyoKjrS8YC4Nk +5Nuk8zZgKwt0QrmSVL+TUdPe0H1bxVmgPOJL8fyB+29oo6KxBAuMw6RUakdw +/6makKk7WPDqjeCXH6NkxBsfczxgFwvUGk1fz42R0Wcj4ZO5e1jAcb337SyV +jP6mWXSe2MuCO2czub/TyOjU+vPz1H0sOGfdE1M9TkaMIgmHLTIsoLhi4Tcn +yej4ZpuZnAMsCD6zrKwxRUZP3FI9T8iyoJXnjs9fnBX+kwq4J8+Cpl4bAdsZ +MgoKdOLYcpgF3WlmIVyzZNQ5kBWRo8iCq8qPv6bgvEeFLnBCmQUTHgd/Ks6R +0c1Y+WcUFRacCe/4U4Zz9ayXxL0jLBBriqcco5ORsGHhO9GjLGB7tPI+H2eH +d7+kc9RZYHdy5fhuBhkV/lPLMdJggZvP1LsQnDmt/FUomix4VBBUM4KzRWFF +mT+wIEKuPebwPBllCLDpiGqzoDJHad4P518uOo3ZOizYqnyxhYyzQX3IaSM9 +FthmqnIzcH4u2dA9ps8Ckxc/A8UXyGjq3saL/oYsGBRk33wMZ7X+k2MiJ1iw +48/qU3OcnwhpHu40ZgHX8+MPruI8YSIXHG3Cgrac7P12OB8P29V54jQLvFYv +ap/HObFKUJLblAUGQ0uPAOe5Pxu8qs1YIH6lNGsbznqqLCzwLAt2T9+1msLt +eeVJEzxmwYIsUpj6B5yZWT1Xly1ZUH0lZ94K5xPj9bkFF1iQrqAq+g8/f8ou +MpunNQsc3rdqx+G8bPXRVPYSC0QLH3Nvwfl0QlLK1GX8fD0zjEjcv++/Pl5I +t8H9b1UeNI/H4y8xQMvWlgUbCyU1dHE+p3sjdoc9CwaKHr8KxeP5KcBmdMCB +BT8hR7gYjz872VThmSOun5dBwt3TeD4ztYPMnXC9qshzjuB6yZNV6uB3YYGM +/44Tvbi+iNf37m5xZcFC8w8omSAjm1RRzzB3FvDqymqF4XosHuLGdD1Y4Oky ++QpwvTqYTtuU32QBN97a3XB9l0UO5vh6s8BmXTp7BM8HobqWdeU7LEgqiFVW +H8bz+2j22y9+LPjMzNF7h+eXmPfbeWd/Fvw5LLsvux+vB9mxIBWA2+sotf1N +Lxnt/O/WyJsg/Pfr2gVSeL7evuwgf/EBC7QVlO5V4Pnd+tzi/tYQ3B7F4x+U +28jIn09tV2wYrqfvv5UxvF50Gch4mESwQN7oWFRXLRkdCN6GiI9ZwD9arFSF +15v+n3+vBMfg9aD+9w75MrweKzCyNWNZEDg9LfWZREaPXEbWfsex4LWcM9+G +QjJSGal6czORBeYN7cWHPpNRfOOjYftkFogo5qt7JpHRNLuv3O43uJ7q1jki +E8lIS9M58PtbFuR80knxiiWj+byTOy3ScH0reg2mh+L6ntO4sfk9rofA1i/0 ++2T0Rkqusi2DBfqvOdCaHxmZvBK8YpCF+9fbvvaWOxml9WzIZv/MglFv98pu +R7xfCLD+VX5hwcN7e9hXbMjoQ0jP6yN5LCCmpx6+j/cTrhtJP6TJLCiu6vW1 +P4zXX0l5n4YSFng/yhzQliEjjf/9Ya+MBVc0+Q1GdpORtzpdN60Sry8dT9PM +BMiIwq2VtaOOBa4e1YpzUyS0VtKtW17PgsI/H9qThklI3N35h3UjHm/bXe1/ +v5GQ6bd4wRctePyeSX7rxvstejt+R6iLBaZuPTs/RpPQoPldwbxvLOipOiDR +EERCv7gEss70sOCUPqnj8S0SknNT+xHVz4KQtANV7BdIKFntsS5hhAUBdOu3 +PhIkRJ7d9eP9KAtavNpMk/lI6Nubwjt6FBZ0aCTusv5bjHi4hj8Gj7Ogb0Mi +d9JgMfLrVBD8O4vnr2PIyEpcMUoIqfuYRGfBvY8ffQsDi1HuEWvdo/MsEG7v +RKsuxWjq9cM7d5gsKKl5OrlLpxhZuvR+X1hhwb8ZlYXnM0Xo5g7XO09WWXD2 +uJWt97ciFN2xLiD3F4+XbKZ1a1kRqlWV0XVdx/uJj9feycgipMRx7+M41xI8 +Nlw5F7enCJ0uFtQNISxBcpbeBWFCEXJxfv99z8YlmLrxVnbDbCF61/5V4Crf +EijdFToplleIBJMl7wwKLUFoRvqevyqFiK7coNO+awnwJ8C37t0FqKPsoMgb +ySUI844oLfiVjwp1Ysfd/lsCO9mDxnkt+eiuqVU4z358/6VfxH838xHBbbZN +X24Jgp87l4Th998Z5pm3IgpLUKW69QVfaB766lfoST28BE5L2qEvzfNQQliA +cLDKEpS3vL2EzeQiyTQBq3KNJSjV9jq9xJ+LOA94H3h8HJ8/vae+LysHTeX2 +/7HSWgLOc2JzWSo5KLsy9c2y7hIMYnuzJvWy0bFBJZriySVI3Xz1ttSJz8hi +8wWPj1ZLsMIWxaNBy0RqL8q1fC8uQcmuAtpfk0wksUtSyPDyElAW3x02K8hA +FNmZQtrVJWCYqMq8832PPIzure5yWgL1Y0HH3MbfoYj7KaHP7iyB5Yy6gn54 +EnLj5jp/zXcJDl44bHyJ+BKZRjtLK99dguu5ScTdD5+jLa8UWzoDluDa5Jb3 +z5wSUFpxreCmUNz/x4412ow/Ro80ZShDj5Zgk0/gkNKTcORSG12QFb4E+uW3 +IkXkQpFCl6WlUdQSIBfpzKrEe0jYqmz/1hjcf2oGWsFxt9GvkV2/x58sQTVH +TJ8Fww0NOoY0F8bh+8k+1hrYdhlV0KdePXy6BFqY5o7o0HuV/wf6WPMt + "]]}, + Annotation[#, "Charting`Private`Tag$98158#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.2860142102651917`}, {-3.0362563615641793`, + 0.6559326981153949}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237674457458*^9, 3.714238002214877*^9, + 3.714238548204287*^9, 3.7142395741313543`*^9, 3.714310570543141*^9, + 3.714310623124496*^9, 3.714311017345689*^9, 3.7148082455844183`*^9, + 3.7148087394536057`*^9, 3.714808790219943*^9, 3.714809137463914*^9, { + 3.714830783818783*^9, 3.71483083339424*^9}, 3.7148308849707937`*^9, { + 3.714833119603292*^9, 3.714833137091063*^9}, {3.714833216896283*^9, + 3.71483323718008*^9}, 3.71483517815341*^9, {3.7148353817008543`*^9, + 3.7148354101922207`*^9}, {3.7148354850314198`*^9, + 3.7148354991762247`*^9}, {3.71483605782858*^9, 3.714836072392943*^9}, + 3.714836335978918*^9, 3.71483652907364*^9, {3.714837246343439*^9, + 3.714837252902101*^9}, 3.714837310164729*^9, 3.714837545315074*^9, { + 3.714837730776862*^9, 3.714837765174131*^9}, 3.714837988177272*^9, + 3.714839534940205*^9, 3.714839592912971*^9, 3.714839636267261*^9, + 3.714840035800082*^9, 3.714840758409679*^9, {3.7149932799586763`*^9, + 3.7149932935863247`*^9}, {3.715473419683815*^9, 3.715473427243525*^9}, { + 3.715473561732173*^9, 3.715473570070854*^9}, {3.7155054422217216`*^9, + 3.715505453641038*^9}, 3.7155069739344254`*^9, 3.715507042748906*^9, { + 3.715507361139063*^9, 3.7155073723309526`*^9}, 3.715507768005797*^9, + 3.715508230733574*^9, 3.715510980861267*^9, 3.7155152107933903`*^9, + 3.7155348044728603`*^9, {3.7159006334616537`*^9, 3.7159006609028683`*^9}, + 3.7159028439081573`*^9},ExpressionUUID->"ac168f40-d42f-4585-9287-\ +a0c0f4d93387"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], "]"}], + ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "-", ".1"}], "/.", "sol5"}], + ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "+", ".1"}], "/.", "sol5"}]}], + "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"\[Theta]cf", "[", "xc", "]"}]}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714238448421826*^9, 3.714238450287497*^9}, { + 3.714239460624751*^9, 3.714239461804504*^9}, 3.7143093152144613`*^9, + 3.714309354244766*^9, {3.714993302034452*^9, 3.7149933093567123`*^9}, { + 3.714993362593301*^9, 3.714993363190507*^9}, {3.715473432312274*^9, + 3.7154734517597313`*^9}, {3.7154735761163282`*^9, + 3.7154735855697203`*^9}, {3.715733533504537*^9, 3.715733560434495*^9}, { + 3.715900692116868*^9, + 3.715900703603435*^9}},ExpressionUUID->"0418a172-876c-44f0-8094-\ +2296a231ceab"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJw12nc4Vv//OHDtJZkViSglb2WkMsozoqyIZKWyIqE0ZCRkNCQkRCgzMiOZ +8VJIJGRFiXLu7XYvu9D39fld1+8frsd9Luec1+s8x/08FxmnKxYXlvLx8QXh +H//77c6ae7X0HAdxs2qF0nf9g4old9wrrTjorvHKkLfHFiFB6pzz11Mc1P7N +KqiHtwA3tLTOjp3koIKgL9d46Qug6jN1UtqYgxbNa4wYSxeghOaufg84yOaj +pgnvx1+IXnFcNeMQB4WRQzN1Ev/CZdkdirUaHLTmZ8wDUYu/oGg/LM3ex0F1 +Vl+2inT8gbxOi1XW8hyUW+lgsq9/Du4xlZZcleOg5SSdPruUOXBds/5vpCwH +fRbezix2nAO5oy2sekkOyuSKOlRzZyGzQqt/pxAHNW3vaLgmNQsHtAyNxifY +yOR8jd/x7GmYvLFMW4bFRp5nBbPe+E1DWXGdymkaGwnwl8+PnJgGJVlV8boh +NnoqvHP8wp8pkF+zhRbVzEZH1BRC885MAUW370cDwn9/Szo7cf8UZAfGdE5W +s5GdrYuRrOAUyHCWVdoXs1GCg47LspZJkPjGjFB8ykb0FKHJh1qTMCCY6+/w +mI3UfJbcWi4xCYlGjl7xD9ko8NWxn/9mJ0Ckvs9yPpiNqBH1765XTQB/Tv32 +9ots1LWXYbb88AT8uxb73kMT231CJ9+OBwesY5gyamykMIoSyYd54KkVvWlg +DxvxNmWURsvw4PuyKC89GTaSUKpZKsPgwtv4e+JbV7NR6WfunjUhXPCoCLra +0cdCA9WXRpXrOJD57HZqeCcLsSSXpJx6yYGBoMAWzVYWsh/Z0dUcw4FjxwO2 +5r5jofDensY4Zw7IDPi0BmexUEuD1JVcAQ58m/OUUbnKQgt6XKYGwQKBYQ8T +6iUW0j/GEVOuZ4Heh0u+aS4sdGqoJiQtmQVlkRe/rLFhoWvcoe395ix4tMXF +f1SbhTYJ7HJ60DIORw+f+fqEn4X2Gnve9v7IhAAZu3nDlSxUylaTXZrHhNcr +bHfx8bHQo+rEUfYDJkh1WN32nBhHYSOZO7+bMmHunMVu/e/jSOSAiVfT0BiU +hBjemc4dRwGm9V0/Vo3B/eoFic2Z40ggJ1lJj8MAJ15puUbqOBrOTt/KHGDA +RhcJWmDsOJoP73OZyWdA4PEx02X+4+hte3Q62ZwBRgKPJAWNxpEPbatWYD4d +dhzXqVDRG0f/7f4kEZZIh8XgKbNT2uMoeapeoD6UDqXcs2GJqvj64q/QlzN0 +2Ny3lyG5ZRx9Ca4pPCpIB0pKV+VuJhP5uZye4Q+lQUNvuLkxhYm+HxspFrxK +g2frNcY8fzHRNvMVTeBAgxPBGVKve5no8v2zclJAg3KnaxEH6pjI1V5gSeci +FUJ3i546Gs1Ee3et7EiPoIJUpTXLXpmJXpoN5lsWU8D72UnEp8BEEXWhBC+d +Ah9uG8Zmb2ei4qEXo2+fUMBNT0uVuZGJAix7qvP8KfD6q9TNWwtj6K7bnQ8H +j1NAh0leSG4bQ2jE3KSERob4zuGOw01jSMRk4rz3TzJQyr69+F03hn4ObaKf +7CZDpH+rzu7SMVQTa61y5R0ZulcWRVQ9HUPyvgb5m+PI4CJzY/03lzEUx0/j +I3TJULHcazjg3BjSD1kMDdAgw2rahRIpmzHU3PFNZ48yGYqKrc1djcfQty0d +d4mtZJjW0kqYUhlDEtEdXVF/SHDfaulW0X8MtF7/GSejigTfNf6OV84yUI5K +zJfu1yRQ3DpZf4bHQM9DVt3Z8ooEXwmyQxaZgUSzn7+aSCaBxNXWbNV2BpqX +G+urDiRBwcNYRfNkBnIJrpW+eYwEcfvFS4SfMBB9i3684hESBIxkqPRGMdD4 +DRvrGQ0SGOx7c8A6hIF+shxVW/eQgPS978hZNwYySdyz324jCSQVtpx2389A +PX+nHwuPEbCsN+ubghIDzRR2yi6QCWDcVrRjyjOQntWn/rlfBFR9PXz+iiQD +8Qf4Kez+RoClv4O7zzIGUuoL3mHfREDUp5zbd77SUcOVl4/nMgi4fm0v39HP +dBSZMGU4m0aAnWRl6PJmOlq+xtBy1TMC5L0/3btXRUdlkfJTp+MIaNo09vjR +CzryLtsaVxZGQMH766JmyXRU58tYqhJCQJzHfKLgEzpyKJ+frQ8kwAGtT31y +l44k/K+IrLlJwLyr8stkLzoK6Ap3OeVOACFYLX/GjY68bpQ6GLsS0FajUyDp +SEevpU7IWTgTkCRw6vULSzq6INhQ9PAsAWoVPjU5WnSENuw3L7QgYIvD4iG3 +/XTUE0rdsfkkAUvX3kPySnRkHXtZOO4EAV1nk5oKZOloyuAJtcSAAM8VtR2l +a/D6rY4cfgwETC+bQ8PL6Ai6leRiDxMQsvRg6bpFGkp+bvfxmRYB8f/Knlzg +0ZB9YcBU90EC3s3l24j/oKFh3szpL8oEHJulGR7royGJnJHT8kr4etM7ta53 +0pDm3afx0XsIIE1kbv3SSEMHh3KfBCoQwM96NhpSSEOLKubLfu4gIJE50FP0 +koY4e0edY7cTsG1sY/P3dBqalqiINZXF66XF5aol0NDSZP7NY9IE1FO6khxj +aMhAzcC6VYoAA7JAZPQDGroop65YtpUA+9FIT9ptGjrn3uuYtYUAyq9PZ8X8 +aOiTtkhegQQB3iMrzXSv0VBmu4JZvTgB4UOhKqmuNEQ3lo9aupkAgR8Nsq0O +NHRsg/dqtU14/wcXRabtaIgVf6rsykYCCvsDps3MaOjfhUb7FWIEHOirogYa +0tCQiq/eeVECGnqmB14dpSE+JTH5RhECjLrV2voP09Cfp55/lbF7u67VLlOn +oVGuc1meMAHnOl8XKqvSUMXH2SMK2LQvrLSzijSU6AApb4UIuNauGBO5k4am +IpzeGmHPt10KqdxGQ68OZIXRBQm425p3lSRBQwPuNn8eYwt+ojgJidFQRztr +vR72s487LLU30FBsKK3s3wYCdjQ76XusoaGbpKGfTdjFjekHkpbRkMtRv7An +2Oofhnc1L1DR3KtbSR7YHxokxXkzVOT74p3QCWwTZLdWmkdFQWM7SAex++uS +/hozqSjKrmy5IrbDu36mH4WKjoTdvLgbm1EjOpzzi4ocoxKXK2PfqLbo7P5O +RWkTRh2AvVgZ2/Cvl4oETo/U2GDfr+goVeykIs99ZSgAW/gtf5ZtKxUtNKh1 +52CnvjGKv9uIz/+KQR3E3ll2P+JNHRXt++E+vRGv9/Xrjzd/VVKRjaXdhD22 +Zsnyi+vLqMiJ6dNbgN1UpGurWUhFcTL3Y5bh/TQtDDFye0lFeWQvCRfsgfx6 +rfh0Kor3EPP4gj2eqynFiqeiyOzK/TX4+XBO1h1Li6ailVtTNxri58mbgysm +96lI6b/EzaPY08b6Dfm3qChxnaapKo6P2ckWmq0PFQXWWrjTsf+mGQmtuYLv +b9+5G/k4nvg4Zk5uTlTkJyCuYITjb2lyd+RGeypynRl9J4/jc4Xu6TfNp6mo +T6V3gxCO37Xxdst3GOL1a+u1LOL4FlW/8PKXEhVVZJ1VP7GNgI2/qR0xu/H5 +z/be85MhQDzy0oz2diqauJyhVYTzSWroikHaRipKOtKQpSqH61tIAMN2gYJc +7j7RLcT5qbB7QXjNDAXdD30XIqNIwJ7uYK0qDgUFKgu2v8D5rLojImojiYI+ +8Y2dr8T5f+hTzN6eNgraHsy1Nsf1QfuqsHVoEwWlP7/1fb0GAToSCcEq9RT0 +Ull7U48mrheez7piSiloUkT6qa82AScFc66ZJFFQm4l/8q5jBLjY1FQ0X6Cg ++EfmMlusCXBdcnjkxnkKGl4RXnjOlgD3fLRqhy0FkXS1rPPPEHB5vskm1ISC +dg85U2wdCPBL7/yjvY+ChNMimZsvEfCQRtKu4qMgabN1LQLBBChTJPu7/5AR +O9VjLv0Ojl/C0mt8kozkw2aaNMJx/RlpSpGlkxHIc9cFPyCgoi97NuorGU0b +NCRbxxMw+sGlzDGTjDiCUV2aBTi+0khy6/TI6GZR4JLUnwT8eiZZJ6dNRnTi +RNgk7kcRSZaWR9TJaPQSX6cFCdfHJ02hPopkJOfWVbAN9zPXyOyREVEyGspq +6+abw/3D1yW5nExCdj7pOV/ESEA3J/Gfu0dCpGo3uvcpEuzYWHg68Q4JtRff +X3SyJsG579efd9wioSM5ihO2Z0jQ7bRMGbxJiGEa4GrlTIJ312VPbbMlIf1d +lyj3r5MgOsEheVSBhPiDUn53xpNAdXBIzq2DQEFBNv81fifBLYc+bW8xAtH3 +nXJQu06GvZ2/6xU2EEjil5dljh8Zfh1maZNXE4jnE/RCIogMx7asArv5UTQZ +Mr9d+AEZBPvVQY8YRbHdHoZqL8jw0jgVNpeOoog/x3cdacffZw44H2kwGcX5 +5NlotpsCCuu5OoLhv5HlW3GaLIsCyaOOvIfrf6Fg05Lf9Fs0MCz8Q1VgDyHR +KyYVhgYMaP0p+mZj9yBy6Kq06tnEhFaHwYFqRj8SDZ9a69I4Dsu2TaT7NfUg +Bo9Vmh3EhnfKlY2sni5k75aySySIA5yEz2tVWroQ+ZMdS/YOB3b8HTG/XtOF +pDdRt6uEc+Bh8+pfM+ld6M2t3l6DSA7Y2dnN813uQudNtLZdSOTAXNiCmsjq +LiTw8RDPrJgDHsX3TK74daCf1bnniSEOnPubLrTE8DN6ppKcWaDGBfFfq13n +lT4jmfoXKdoHudDb5F0zs/Ez0v9pVt6pwQWj6CPOLFIbOjd8FZjaXNgv86v8 +R0gbKhCwSxIw5AL/cWmbiqpW5BTOv3/Gngs1cWnPPeQ/oc2qz06ZhXHBx3fF +hOuGT6jDfKE9K4ILyvZex52mW9DNHara0/e48FLuMMemqQUFOJ9dlhDFhcdV +QzrHHFqQX6nAbHUCFy4ObyFvS/qIFkPEHqTnckFM4dl//auaUdB7O5+BVi7Y +O37TDOY0IVKvgf7Hz1zITBI1kh9sQqVauSplX/D1VsVcDMhvQvDDyj78KxdM +SGE5UieaECtQalRokAuhz72k3eIaEW1i/UwXlQscYR2RWckP6O6wSNngMh4c +NAqSzVjxAbXv7Al6sIIHQXdqVYxY79EhwRrTg6t4wM/ZfzIVvUcmRYJTUWt5 +sOuLwqMjTu/RafPY49uEeHDunuiqB7kNKI/QdaFs5UHiTOfUPpd6xF2zomRs +Pw+o1Vc6nqrUI57oPgv/gzxQD9yQ+3exDkmvzYhYrsGDH3xmNo3JdahqTvSZ +yCEebFvbUWPR+Q6t+vvIWVSXBwWS7cFXNWtRSkNAx4sTPJgf9rDpW1WLdHUz +xVea8cA0Y52KRl8N4n+2SHM/yQOOnPEon3cN+tAXLKRwCs+fSm16sTnV6OKQ +8M0oGx406HxaUyJYhWquKEwNOPFAePnFUeHhSpS5T11lkwsPnD+uqr1ZUIn2 +N1VRLC7wYKXxcU/tY5XIQDGm9oMbD4wtP3Z8uVWBUrX0/oZ58qDftekJk1KO +rKpKTaJ8eDD2sGGrQl0pMtKINH4dwQPLibWe9EelKH7dxGLUXR7U252uyTtX +imgxXlfc7vEgdjfDahdfKbrfJ3pX7AG+3xaR2B1HX6P8ia5gqyge8K3oWK4d +V4SuSd487RHHg+4ep4x3+4oQX9i74u1PeJCTOXNYq68Q5ccHoUFsoyMyvuqb +C1F7xb6VkMCDhFs36KrP85HA93Zp1lMeKPAkOnbl5yKaorvucCrez4aSSy+N +c9Hh6Fb21TQedMborZIbf4n2VIucXPacBzf2XD4iq/wSLRa4yEu/4AG6+L5M +siIbaW/Yo6KVwYO4g1ZmKdbZaOTF6ivvsF1Wjo2Jz2WhSDHqWa1MHqzNFpXb +dCgLyb1pP6GahfdjxO2p0IcMdEDD0nt5Dg92Fs/vi3XOQJzjtsrXsecCH3cJ +rMhAM8zaFyPYzyVq1/AbpKPp7u8PS1/i9RdIzvKnpiGXe0HxGnk88DU8prJ2 +JBWZPL7YloAtSb1yaZVsKlqTalLMxnaTbRxakvcMzV1zCU59hdeb5P5++s1T +tHlpte73fB4cWhOlmP8nERVFEb6yBTy45V/89KxOIrq1jf/qRew/thNeTR3x +6IPy7+JxbI02sUFfsXg0NWk5oVjIAz9Ndb3/7J8gsvnpv+7YMxK3JeLoj1Ht +cPzpn9gHHr6I0Fd+jOImM3NFinhw8+97zuzNWFxPf7w7jk2vXB+NVkejsoHr +yq+wLyZZuOxMjEI8k/zofmyK31PNR9sfogPKVSVLinlA0pCh2mnfR3OtQprm +2M4SrnXvP99F+TlaWT7Yo3/yn8jbRqA2zbmOp9gOP9juMZQwtGtRq64Se6RW +7cj09VCUbTPt1Yd9LtV/49kld9Dx3C2/OdhVc4GD97YGI9BK37i2hAcVNSvv +nlYPRCO2/gIy2G9uxapuP+WPcg+lfdqP/fqQxAjH6yYyEFqmb4BdvJD1sP7+ +dZQ1lxlmg11Qv0c9Kssbda27Ge6Kbf7vcuubQA8kaXHz+DVskzuhsmZlF9D6 +z8/bb2E/Wqk409t5Hrm6j4mEYYeuPfVqnZYlkhW13XofmyM5WRFuooOCXpJp +kdjxnjNxB2/sgnF2zM2H2Jo9V0LSV54A+XLrjw+w88iC0eKb7UCm4PBABPYg +Z9Lrar8TrL5ztDAYe/jyb9H+9Itwot9D1xebxPxSq+lxGZKg5pkn9o39Z0s7 +Ja5Bt/6+t+exfW/0LF/K5wObXYcen8QOeGNoo0b2hQ9C75QBO5CHClzbAuB8 +8eDj/7CDVQ78Syq5DcUJh9+KYeuoW726YBQCGWLcZwt4vz9YC/UsvrsDNt6L +ugS2nm/7/FOlMNgy5F30EftYhe7JNtG7UBJe0XoXu6Vvwd/53j1o4mXfcsY2 +mKrKmp+7D+69ezmHsY3VlGb2jjyEqa+nZZg4ftpPMbZ9Mn8ErUhsGGGbXs8x +cmyKhr9NFWcfY8sPru9s7Y2FK/uZOXuwaRfHnDdGP4bHwgWXZ3H8vpr9NOt0 +PA6aGC/+NGArbA6Xna9+AsJjkfbG2Hus//jsfZEIdzcfNNbH+fHrqa6s2sWn +4P3w8fpZnF9xA5EdGipJkPKwY28e9rTtll36jclgmfg4mg+73v7QwBlqKnw9 +yW55jPPVOy083PF1GqDLq+8qYcsOtyu7+T8HBWn37LZcHjSWFOtVr0iHibr2 +pXO4HuxSgbSmpxlwz2jG+ACuFyHmztePz2dAiqSUMMrmwfer9wzbHDJBGOlr +6mNHlXVOde7OAlX+R6WGuB5x9jmY/qjNBj+Ped19uH5VHbjzjzuSCw9Xle55 +gOujkHVO3w29PDDsct5HS+HBJd/Wgpm8PLAeiXihhy1ZJWSzcPUV2Gk7Fk4l +4+trZL5evbwA5Lc3ZKjjemt4qNFRWr4YbmogQ93HPMi0px7MjCoGnw/lI76x +uB4FrhOQ4xaD9MP+3/kxOH/qTtUo1JSAepaW4ppoHjyQvrZmy8vX0L1aivwy +kgfj6UuddqqXgfNFUQO3MB4s5b9kze9WBsaiFf+Fh/Jgo+9XE15CGRhu7+1/ +focHR06kH6yfKINV6ZsivgTj5zF3eL1VyRuoUOKZCAbi+mThXxWx8y3M1w9Q +/ruB+/8yjgBZtApuPgo4W4/7Y9xl6+Wfj1aB7v2BFQmOPMgdrJ97fa0KWMZS +4e4OPOgqeUQK7KoCa80ry/nP4edl/1+NaFQ17Miolz1oi+O13PWC3rJa2LJu +6sRO3K8FXX/WZnHrwO2/MjNP3P8db0vP+O6oh79XzNb+wt8PyuIdVU2s62GT +ZbSZ+QHcLxrJeZPv6qEgffdtxX08eLqNlaB/H8EJVv6tZkUexHj9q7we0wDH +3r1pCJXG65cXjBPb+QEOni4PV8bfb+r3lZYEwwf4myGjZb0E9wOw+EK3+QDl +Xi5Jt/5xocoqfnX9ww8Q9lDfuO4vF+wiNge7cj8A/0hV0Y5JLjwf3eZZ+a4R +Hs8/OhpO4oJcmsox21PNsJhAJz1q5EJA9JM0E89m6HQPueTzngtdwVOTENEM +gzdy2u0QPu5UnbWzshlmdvYqSNdyoWOXzpJJiY8gO/HUM7qMC35lJ99Fj34E +hvWfmVUZXPjcckW16eonkNX5PHc5kAtXeUVSSrGf4YlwTozpHi6c72Zs+/y6 +C+SzOqdC7nLA+MpuQeeBHqg5EfxK6AYbKmvqso+29YO92IHDqG8camsvXzUu +GoRDCkoZB/YwISKkLeVg5xBwznkebbJjQOfELQ/P2hH4tWnyLPs1DbzFPNt1 +r/+Gl/qihvv+UUDLXyh2j/9vsDa1DNk7R4GVPytObQ7+Df6Z5xwVJyiQmr3k +x3jkb3BUHVVRplKgdd9TelLmb8jjOYTbdFJA1uLDSvbX3+Cn8apUKZ0CvdGb +dVKUR8G3biJqox4F1Fc3v50YH4XogMzQ+gQyXM753tIwMQofmZyf6bFkyNbl +DD6aGwWjFe3f7z4kg9DtLYu7VhBgRB1pO3uHDAzu1WP2kgTM3f7Dp+5FhrQf +Ut+ajAgIuj1dkqFPhqUlfrMJuQS84Feku8+RQN0keq1zEQE3WrX2t06S4DI9 +S1L5DQHBBRPlihwS/NjeeaStnoCFywZOfFQSlCfJPVjsI+BMScrc914SuIV2 +i7stJ0FxudQJx1IStJ9W1FJ3xHPg1o21vV4kiDRYEAtzI8ES741sD3cSGGh1 +cL7gzy+Mq3esvkCCpm3eL50DSPCnQibvlD0JasfeCMU8IUHXPtuwvcYkyL+j +RSM3489vSb9e3E2Cizf4G5Xb8dz5+F35hBwJdrr9TLvVTQJJt4lOlgwJMk2C +TwmN4OtcG7wwI06C5E2N9YdmSZA9kNBtsZYE94uMEp4okOGtfOlPdSae/9O3 +eA8rk8HI+PzTOBoBy58wjXYfJIOAtekgD8/HIX7RfOgoGc79MBFpwfO079Fu +D4Y9GRSC/u1FnXheHrTV1Ykhg+ecbdJkOQFHV7izWRN4Dh2SupOP5/dzWeFn +OubI8O68saZIKAF+OuktRf/IwNYUDQrF83/x7W8vPNdR4KMVr+FGAAES0/on +GbI4rmrpU3neBHAosqVkcwrMdj01sDpHwLoI7a3N1hSwiH0/qWBPwM7tdg+y +z1IgfatG2ko7AuzPP3Z0dqeA1UIFX89pAlq+/RP6HUKBptuPiIYTBDz/NHRt +qIQC2eHHP85oE1DtOjtc+5YCmu5bm+EwAb3LRY1TaimwbdZBK0aLgLU6xtvt +WigQmeNZrKdOgE91dc+3YQq4Uiri1qoSEGvdB5UkfL7rX5RjlAnIn+IUJDIo +IJg8dW+LEgG/VOTDT09TwGSFUpixIgEm+YlqPeup8GwFO2XNLgLcDMrSy0So +oJBM4bTLERBK+cIfJ06FlZ3pR5N2EFAlu4J8Uo4Ksb2FK47LEtDTsM1c+T8q +hJh9uqsgQwDr3KG6DSpUiBLU3L1xGwHbU64ndByiwuZu4+kVUgRoa8QsKdal +wn7Sjn1rtxJg8y3f65EBFYZef3y7EedJtMiovoklFa6n+5QaSBDwqnSh9D87 +KpBMlQ9fFiegyUxcap0DFY7v2KCWupmAPw9PTrd6UOFftuYDoU0EpAbv+m/X +NXzcddO44UYC4Pri+XA/KqTvrHeMEiNg1LUv/ncQFWwyn0wMiBIQblfYqh1B +hch+4RIl7J2mYYspD6lw+fiX9FgRAj7p2O2be0wFl+MefX+FCVi/e3Xam+dU +EJ5x1eQKEfBacuSrYA4VJn89CL+FbSFYsfJyARXinbfoC2JPLnuk9bmUChU7 +NR+UCBJ4/nT2lq+iQoDD1nO22OpjmjkR9VQo2i72dT32j2Gh76NNVDhQEslu +34DrRDdN4MhnKtTU87UkYm/7iI6mfaWCypDIhf/3/rU60e/PNyp0lwV8M8K+ +UORVZD1MheXOKxX3Y6/O0BstJ1Eh8VumtwJ2fvyWTcJj+P4lrd/8zyb3ecZX +uFTwLNdfegCbfas1pH2GCp1ThR4m2HFX0t/uXqTCOwfqghe2mrMv4+5yGlyc +92h59r/3u1am0qS1NPB/09Hfje1vJGepI0SDpWUNmv973yqpPX//+SYaUJsE +l17Arlfpqfu7lQaJNQVaCNtBLp9ns4MGu5pTp3fg/VoqfmdXhQINGD/X6yZi +Z/Pb2Iuo0MBewWCPCN7/43xKj70P0iDNqbwlBZsxseLjl8P4uMaPbf97fx5F +HfqjoEeDo80XDLqw9/54o3TfiAZzY1tNA/Hz7eqIdCGfpEF6B0tHDcfDtQ+O +ybrWNFg8SN43iy1Wod7x4iwN9vIrq33C8WOXRjlod4kGl4r/y4jC8TYfW+dZ +6U0Dm0+0vXdwPL4Ij88Q9aXBzi6R9aE4Xkkeuus6w/D9Kdgu5uF4vqz5fPho +Gg0o/RaJj3B+CO71EcnIouF4OHCfgvPnjYyJweIrGtw5VnjaBOfX7Oo/pVUV +NGhp/fJZG+fjs/kuilgdDar8pZI/yxNwiJO75XojDboKTjy8oEDAnW+nI/Z0 +0SCo32n3+z0E7PisWBPZTwNNlu7fUJzvH+uXsalDNNDlTh+2UMH142WpTSad +Bgc2VDuL7ycg/sZ6xU3L6GBBdJ8xwfUmM8OyxGoNHW4oPH54FQgo6UhRTdxA +h5O3VIyydQhok1fQEJOkQ6iPV6PqMQKW/Dx2TGQ/HZbTkn9MmREgsDa61UKL +Dpo8VsUDC/z8D/aZxOnQIWCwruk/XP/UHzufEjKlQ6qg+ZdnuD5e1g9x2OBG +h8Du3MmdrgQEXmshTL3okOb9vmmvOwEPXgi4RV+nw+yZUV99TxwPc6le60Po +EN2fT7y4RsD3ouqAdcl02DbifmFdCI6PjRPxqz7T4ZKseFB3GgGWRzU3H/9K +B4rZnp6eDAKcvO+k3P1Gh5qd/snkHJxfbRsyV5DowGgPo2gWE1AepFiybIEO +ntK6USUI5xv1Quu/vQx43wanv5NxPIkWmcB+BtD9grZyGARo6Ux2Bmnh456D +ezZzCLBKCe1fOM4A2KyX9+IPAY/MXhB/HRhQeXd7Zowg7quVAwszcQzIGFsc +ETpCApfYS8LtSQyI9EuyYOuToPPi/M705wxw36yYMIz7bbb4tpMG+QzYFWe6 +esKaBGa33DKT3jOghvZGccYbH9eePqbBYYCVY8m3By9JILDp/pn10wxY80yr ++0kRCfzZ4t6//zJgKiWkobScBKbph5MfrBoDA/bZDQqNJJhdEjE2KDUGUR9f +lwr+JsGJZpHYgBNjMOJcf2VwGxmq0nKyTU+NgYqjrOX+3WSQvXmwWtZ2DPhX +HW3IVSHD7M4zo20uY3C9b5TSpUuGzPuZalsCxyBB8V+MhisZpo1VBmvzx8Dc +6qlTTCkZ0rtNZRdWMUF36O7opzMUiONL/WcqwIRM4Q3ppy9SIHwvfShdlAlz +PQLSK3wocDEy7KmeDBMgjtr0JZoCKrpV/FGaTDDXyyvf0ESBD6UyMxJeTEgv +eLShYD8Vykcu93peZ8JVVeXwWD0qvFz/rrTenwm3e1Unnp/Cdd7dytPpLhNc +09j31HGfOCXz8PerF0woUDO/5IHrNCl28rN6NxNErfLiD6vToL9e51XkABNu +bPaQZxrS4BMz+u7QMBOcJ4saPp+hQaHBbp2QMSYYpHWf3BZCAx++cxUty8fh +6aj+e6XPNFjp3ZJudXAcVh86UeTrgeM4TTQo7/A4Dg9f8h0cx4zPjmf+HB0H +etzTipYEOnTumhd7fnIcTD/2aKx5T4ekEeWHZPdxOKB4RyVAggG7zZ753Egd +B8aCX2bvIAP85FVJdpnjcOPJajMzLgM+LWmz0MkbhwvK1bpr14yBa/mckkD5 +OGiOc9z0NMYgU9yWkft5HM/H9VdGU8dAkrTp/I8/4yCVahj27CoTPOpKvrzn +Y4H817ObHzxiQk3i8UN5K1lAJ8cVtbxigo2hr7iPMAuaBmuDNAgmJBT39wgo +sGBi8Vq2kN04CPgnGOjasuA39Y1ntQ0LzlrsqZQ/zwK/xQhtnQAWFP7XLLfh +Ags2fLzeujeVBUbDk0uHvFmwnk8yRuc3C+4dtazzuc+CwAGnaB9vNvAJiKi+ +qmTBuD8l64wFB8yo+ekxdSwgrApLq1058LxBd8PNRhbsvnJY0O4WBw5dv8bU +7WSBHdfc1zWHA/4DX18OUVhwlR6R2jXPAV5m7BbBjWyQt0l12VLDhcK3SQMD +W9jgeU4Y1XVzwe1TekKGDBvMD90sezvGhaHx1xv27WFD7sx2kSIpHjSrf11m +pccG3Y4MibH7eJ42HmyQMmLDPG+nuQee3zXP/b5NNWODiIZ6vVkDnpfDuDN+ +Z9jgvIoXeWKOB0kdQsyUa2xo7OQE2XlPgMVv8Vcufmwg6Wona8RMAP+kjOue +IDaEKFvujSmegDviqr/qH7DBPjcF8lgTcMnFovd3Ohuioo06R25MwuE/ce92 +dbLhaIkMdVvqFMzyp/hzetmwwdb//NfGKSiTzjpQ/Z0NHHeG3h7mFOzUf/Pa +iMIGN8rJ2lntaRCM7cn2WmBDkWLWV4fxabjwdVw5ZQkH78/CIZbEDHz4fjUm +eDkHps12yZkazkDguL+JwVoOaCSfuZWaNwNc4ciPg2IceC1bdVDm2iyYSgrI +1W/mgEibhyL75SwUysWFZW7hAPnUUlrj0Cy4qj874iHDAUf2+Hy68Rx8P5tf +M6/IgVdrl+7ddPAPHHTbK/5bCZ9PjTO70ucPxHuX+TarcoCeXWeoX/4HzMJq +1KLVObAq+qH44IG/0JTXViytxwGfX9v2FZyYB7J9IVf3OAd2m2prvE6bh5VC +0WquRhzQ4msmKtnzYOBvXlN4kgOSd4wmpJ8tQLvhQLPGWQ6E8P389mntP/Bv +Mfq14xwH/v//8/0fn1sAEA== + "]], + LineBox[{{1.0757828085279497`, 1.9471741383260872`}, { + 1.0763812815023446`, 1.1509475735441332`}, {1.0770961033457505`, + 0.30665595908766496`}, {1.0775754761759382`, -0.1924230604961037}}], + LineBox[{{-1.0775737667648795`, -0.1924230604961037}, \ +{-1.077416202887782, -0.038524924005311156`}, {-1.0766431668874576`, + 0.8295545128645656}, {-1.0758701308871332`, + 1.8198178442075348`}, {-1.0757821474180302`, 1.9471741383260872`}}]}, + Annotation[#, "Charting`Private`Tag$97255#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.0624767640153414`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.0624767640153414`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.1624767640153415`, + 1.1624767640153415`}, {-0.1924230604961037, 1.9471741383260872`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, + 3.7142376591520367`*^9, {3.714237870020213*^9, 3.714237895967791*^9}, { + 3.714238448121496*^9, 3.714238456602359*^9}, 3.7142394684451733`*^9, + 3.714309360427518*^9, 3.714309402834841*^9, 3.7143096565203533`*^9, + 3.714309861928784*^9, 3.7143102830457172`*^9, 3.7143103257857637`*^9, + 3.714310775319235*^9, 3.714806815543325*^9, 3.714806849086192*^9, + 3.714807553716565*^9, 3.714807649722921*^9, {3.714808230981045*^9, + 3.714808254462695*^9}, 3.714808793742247*^9, 3.714809138986257*^9, + 3.714830785720742*^9, 3.714830886934681*^9, 3.7148331393766127`*^9, + 3.7148332410195704`*^9, 3.7148351822386923`*^9, 3.714836338517501*^9, + 3.714836531227767*^9, 3.714837257692141*^9, 3.714837313927657*^9, + 3.714837548981167*^9, {3.714837733053969*^9, 3.714837766917502*^9}, + 3.714837990449766*^9, 3.714839543879813*^9, 3.714839594809494*^9, + 3.714839638140133*^9, 3.7148400373705463`*^9, 3.714840760440144*^9, { + 3.714993310800767*^9, 3.714993323253458*^9}, 3.714993372215808*^9, { + 3.715473428892954*^9, 3.715473453995926*^9}, 3.715473587859758*^9, + 3.715712832261046*^9, 3.715719387803874*^9, 3.715733562915331*^9, + 3.715766553139045*^9, 3.715766865895159*^9, + 3.715900715953717*^9},ExpressionUUID->"a2dfcb75-9aac-406c-a962-\ +a55ac7febb16"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.00001", ",", + RowBox[{ + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], "-", "0.00001"}], "/.", + "sol5"}], ",", "0.00001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.71483756248528*^9, 3.714837563468934*^9}, {3.7148396198220043`*^9, + 3.71483962069382*^9}, {3.714993381843835*^9, 3.7149933950922737`*^9}, { + 3.715473459151826*^9, 3.715473461575972*^9}, {3.715473602329927*^9, + 3.715473604809793*^9}, {3.7157335751229963`*^9, 3.715733591474635*^9}, { + 3.7158877325429993`*^9, 3.715887738846607*^9}, {3.715900724269411*^9, + 3.715900729452939*^9}},ExpressionUUID->"dc24c8de-c6cd-4011-9dd2-\ +d36a2f23cfc0"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol5"}]}], "}"}], + "&"}], "/@", "func3"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.714807568353258*^9, 3.714807568561453*^9}, {3.7148331605531673`*^9, + 3.7148331610481462`*^9}, {3.714993392582136*^9, 3.714993397619061*^9}, { + 3.715473466424056*^9, 3.715473468776598*^9}, {3.715473608130603*^9, + 3.7154736082020283`*^9}, {3.7157335991101427`*^9, 3.715733603779353*^9}, { + 3.71590073411812*^9, + 3.7159007342775784`*^9}},ExpressionUUID->"b7dbaa72-3f91-4361-aa01-\ +a3603614dd88"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.002777777777777778], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwUV3c8le8bPuc9R0IpIrKSqKQiMhtPVhQiWWVGQzKiUqTSIONbkSQjiUJU +RpIRz2OVLXvvvc85trN+7++v83k/7zOu+7qv67rfs8vRw/QKRiAQrgoTCP// +5dqmbD+gsR3tHVo1SopZhxuTP0c+sxZAux+wiGc/rMMkv5JLu7ZvQ2kBPudW +ktbhtSl3s9s7+dHvTXfvfUhdhw67Ivf8tOJDs0/TLp/6tg4FlJtensjeitoc +uoRnstYhRerpOmn3VuR9MT4sLHcd2r+lWiec2YLS9bY1KhWuQy6fqulYF170 +xCuttxWuw4XPmxlvEjYj5sy5HO/yddj7o3s6emITouRXWm6vWoe0rZ2PssEm +FFmsU5VTtw5jjscuRiTxoO2KKlymTevQ9Uf3rAc/D+Jufrxjrm0dmtSNxjSH +cKMM7qH1oO516CFH3RjOw432Z7z/LjWwDrfqj/BnRHAhQkShcuHIOvxx36jY +VooLeTndCzedXIdhV80SZ3M3IqnW7WUTs+vw6o7Rm1UmG9F6mEPNA9o63JEj +wOk5z4mueaSk862swxQVFHPnNSc65kq68om+Dr8/9C70VudEHpNRq8oEOuy7 +doi2c2QDGtxnde0PmQ5jNo517nm9Afl5Xc4256LDrQ/dIk9rb0BSHiNdw5vp +kJfz7wujFQ40Z9Y8eJOfDpNqk66zvnEgE3GjSsZ2OlxLOKZ48BoHumNr++q5 +KB0+PuYflyHFgX5t3aLGJ0mHE3+jPOwHyGi5yb0sWpoOUzn0SSIJZGRREKC4 +S5YO35D7GuElMpo7cTEw5SAd7r2rJnJEhowkahfgAUV8/cODr2ymSKir33wg +U4UO2RGC/LuySIi3/emE0lE6JC59977hQ0LHyh92/gR0KLd18OxebRLa5KqX +o6JDh4GOckWavCR0I6zLJ1efDpN9keGXLgw1dirLKRvRYVSkT71RKoaGnMyq +ss/RYZsaTV3yLoayFRTM5S3o0AuqvubXw5Dyd9SQdpEOP9aF1QkJY2h7GlNd +xp4OO+ZocPcUEYm/6n4T74TvT6njlCsiomTMeHC7Mx1mxfUxpMKJaEzjjORL +Vzr8qVKfQLxKROdki03JnnQ4W24TXnSUiFL8Ynx87tBhvj2FbsRPRN5/6iJn +fejwguLF12mTBKQYoZPq8JAO1zUz/GtKCOjZ16mspid0yIoQvPwlhoD8FdJ+ +aD+nQ71RF63jtwnoPrrx/UcoHYp3fX3if5aA+qSEkqTCcH48eMdcZQko3O71 +67A3dBjBm/qYQSagVI/SB8x3dNgUfsXzfCkb5leEXLn+ng5dbfzd++6zoXpv +3ZmWj3T4dGNF1ysVNix87HroRDIdqi/eFrSjsaBK7ym+lDQ6PBGEFkEGCz4Y +0ljkzaBDoSOg+IAbC7Zo7+m484MOS/8xd4odYEGTzpGi7l90eERLcP+GGSZU +tD+XfPI3/n5Xkf7wVyaMeq37+hOiw0izhhNf3Zkw4l/0E84KOlxuzJa8eJgJ +TYHMvetVdHjA9JPx2CIDcs4V3aquo0PzMbM7Z/IZ0DFMzXt/Ex0S8tsf+T9k +QF7x6/7Bbfh5H9rfP9FhwJbyXRHjXfh9WluOGvAw4C+xIxk6/XS4mcZktOD7 +IixutiYM06HMUAsUicV1/OrzBsY4rqd/URFCl+mQ+vujtsUMHbqdcsv/g+sW +6zr8IoOC3yci+nH36jq8n79rhHOJDnPM0sdky9bh5ZGjp+3XcL3WqZi0vlyH +oxxnin4y6ZAR0lSzy3odXi8X0OTBGFAn9r0bz751WO7n1Gq/gQE9Ps64vVxa +g0+LGb4/uBlQ0TR8b0rZGiz681lxwxYGLBg9ut309Rrs5dzNtNzGgMBlsSX0 +0hq8UKnanSrEgIdep4mdO7wGf6kn162KMqCFb1dpPHEN/iiQb9WTZEC5Mp08 +z6ZVCO+9oUVKM6AaLY/zb9Iq1GmI2DO8jwENf1BaYu+swtvEGU/5gwxoJ3Pf +elZvFWqBi62+hxlQfCx3Nk9kFeaOxJyrUGbA4rnOBfrsCmwyuD7Oq8GAR7I2 +TP8oWYG26FGU5QkGHNV3u9wXuQI1G6IcP2jh9227R/ZxWYGHRq6fHjvFgD0n +SE8egxUYc+eb4QEDBpTVi/+8JLACr8jtcPM0ZsC7G9v1m6eW4XiGY/rP8wxY +nvPCXLhkGcqgExvXLBkw0vxcRWnUMnTWufTsqA0DTgmWJ/xzX4bbuR9IPnBg +wIzNnGxwahme19DpLbrMgGfkDnJskViGD+evFTKdGdA5J2f06PISDLV/V3jM +DeeTm3OgvH4JajOe9fl6MmC/KQukpixBgkGPdN4dBvw4ftN2xH8Jnu43eLXo +w4AHWkti715cgpKP/SUUcN1pPfS+7nBkCdbI72l2ecKANpyN4D3vEnxEHf/2 +KZABd4p7JB6YXISGxJsZvSEMmMc3K7G5fBFKdV3rEHzFgHd4Xhge/7AIY1fv +yhpFMOC7hcGaQt9FOK6gn/Q0igGvbnp46rnFIlxwfHQqP5YBfRY+uccrLsIb +hWXb5j4w4AsWgc3mXYQ/nhbwSH1iQLEk64K06QWYp71R3jyVAfWR1Y33lQvw +SZ7Jw+dfGbBu9MhI2+cFqFqjsp6XyYBpMoEs86cLcFemTdJkDgMiZ3bMjksL +ECtx8t2B+6zwvMpHSbAAud/MPNIvYkCq9Q32dfEFWMQbleNdgutXzCxtkU6D +mlrYjk8VDMj3dTwOdtGgxd3ab/+qGDBI6mBHVT4N7jobcYtRx4CmnTxO/NE0 +uC9ywWVvEwMGPhE/8+4eDeY7B78514bzIfbkw0UrGsyVolB8uxjwqPNPXys1 +GvxoV+qf1If3d8PV1TBhGvTbGqNTM8SADMGzGqQ1Khx03HqcNobrX2fzte+d +VChQXeQiPI3rQ4+cFl5AhU3cGvXH5xlw/uVhpa+xVFiiKubsuIDX77hFlelH +hZ8z1tUCVxjw3/Zbc0/tqLCV/4bmFzoDqt9xewtOUqGfDfakhs2ArUcP3JSX +okL+bjP6DIkJW2APMiVTofmB5W+bNzJhwKNXjaljFLhb1Sfm4CYm1P4qNq9Q +RYHiJ2+WGG5lQo9KLpepdAr8O+i6+4YAE4YwPN62vKTAPh5CSZAwE6o6DNfM +eVJgAz0/5rMYE0bus76iZk6Bchb7s0okmTDeR6QkU40CqdsHyL3STHhCJuak +pRgFsgKvv13Zx4TSDC99OQIFTluZXeU7yIS2jHB/q8p5mBhz8M5+PFer1dxl +foTNw44fj8u0lJmw5vjdi1cuzEOCe8+5i+pMSH5+huAuNQ8FFyolPY8zYfsf +IrNmeg5mNTYqPNdkwgcmW449/DkHadP+T+J0mfBwo+j3p4/m4Jf39tuzTjMh +c3pEv/v0HLzyZnmm3IgJ1VbEOJ8JzMGU6boNHefwnP9gMOHXPwsP73W7PGWO +483NoJSnzULFfdYbGBeYMDdll6y19yxc0pWY3WSH88Vejj+hNQsPqh3bIe7I +hE8qx5zceWdhsLhG6IGrON9Zcy8mu2Zg+cs47aMuTPh5g7pqRsoMpPiMa53G +5wrfRdLD4tsz8K5lfLCFFxP+tzPw2XatGahJ0xZ28mbCrsqem7lbZuCGyIvz +7r5MeClhzvV97zRUWnLa4vuQCQuuWyVXp0/DItXBe8+eMKF7uMXZ477T0HHF +9MDLQCa8P5IRvag/DW8eU98fFcKEUtIf0bzQNCQFbbv14SU+94YqWQfHpyBX +nQNnymsmLJQXiPieOwVt7nwY//aWCc1fpMObgVPwmLWRQE4ME34pHKi6ZTEF +uzvGX+THM+Gev2LruXumoFn+tFlxIhOuRNfHqq9MQn7d1uulyUy4dPgic/3v +JBRXl6yrSGPCG7s33lx/NwnPtuo9qvzOhIOhS3qqLpOwvOqPf3U2ExLekXsy +j05ChqFQU00uE+oY1wVc3TwJZXh+3KotYMK0vpcfLfsn4E+FbVdri5lQXXLX +y6dZE7DXJfNLTSkTZlaNfZ18OgFrBzBQ/QfXaza8FGwxAf9oPtlTWc2EeuF0 +fkfZCXgv57NDRT0Tuooayd5ijMPT48OzJU1MuOpWtOV3wzgc3/CjvqiNCW9W +fFA6ljQO5WqCSPldTJj9JIC84D0Oyc5d//3oY8Kmd4qL/WfGoXGU2I1vQ0wI +pV97YzvH4b6YsvjkMSZMt0wnXlwYgyNq2vs+TDFhXN7bzWN/x2BTMe/GqDkm +7Iu6JZAcNwYvEaNPvKQx4d0G29fRnmNwv71Z7bNlJhTKdOJAp8ZgT3F2lu86 +E2ad95sVFhuDBa9k5j1YTHiZ92FtEnUUmteIB1zGWPA0n+Aeh7+jkG+d57bV +BhZsvFXwyOj9KDwv5/DbgJsF/U+nO9y4NQp3sIPtTvCyoNxy/7n806MQfli9 +qMDPgh71pD4VyVEY90cke9d2FrzQ7Bo+vDwCD/y2u8wvwoLjqdvWi+tGoKOF +ohcmwYIOaaEplZ9GYDkT66HuYsFuO/p+gt8INEw9njggw4LNIwJCV86PwFcD +ZyvqZVkwPpqXsLJ/BH4tStT9fZAF07jj7v/ERmDp7KfdXw6z4OD4mGRC1zBc +ykH2kcosOHwgKCg3exgKDDms+6uzYNHjx4arIcOQq3d+4cZxFqR/U9l4xWkY +Sqe0G1posuBbtWtWjKPDEDY85jipy4Lvpfd1FwkMw4pHlhKyp1kwZ7ZX/svs +EDziUxLFZ4Tj91dZKfozBIO37PNaM2HB3867m+kfhmC48sK3ATMWjJVtuero +MwSzb4YY/LViwdL4TAuq6RDUHTQz+GbDgoqR5/VTDwxBpnb+t9cOLEi2DxgK +3DAEM2fEb929zIJqhSp1/w0MQu2aiVhrZxbUTLqflV8wCC1uPNoHXFnQ0yhQ +fXPkIDy6eGqH1E0WrLNI3PrcYxB6y35yJ99mwYgl+eE9Zwbh8A36vrG7LDit ++MFuRnoQisBM/b/3WbDP78bhdvYAfJW/tz7lEc7/RiGe8a4BWBBTlv/8KQuW +PNsTJ5o7AJOPj/Nce86CezLF3t4OH4BiEkvluqEseE/DO53qOgA/WxiP7n7F +gh0Jn1+91h+APJ8t3YgRLCjLv2XFQnoA+jt72Pa9ZcHn/5GjThAGoHb8ys+C +GBYEM08NXuf1w8YZk7tv41mwIrQpZ+ZmP9R91/3RMxHHl8nsDJXth0FBK8qG +ySy4HlJzwGOoD8Yako/sSWPBhJg8ybexfVBa6FIc+xuuz0jKfoJ5H9xS7OrR +kYXzmaVX+pW3D6YUB3zL/MmCV/qV7GMre+EXDW7LoHwcD8ef+zVPemE3w9LV +vogFJeqSIo4d74Vtt2tnlUtYsG07UXpupQfmFpR381SwoEBPdHp/dg/c9uK9 +ymAlCwYy0tO2uvfAAxY/WD9rWXCbEzXRX7YH/pRxPBLyjwW9JGKE5Ee74YNc +jg7bFhbMCDj1QvRjN/RwW5tU6GDBrYXEEF3bbvjL6p0LqYcFP/Efi/y6oxve +UTx+sbUf12NihapJWxessdfKTx5mwfChSrp8RBf+/UUMujvOgvKvK1wNTLog +PbH1j940C3I+DxVK3NwFE/u2ewvNs2BxmHKIUk0nbMmXeDuG/8+hfZc2Ywd1 +wjerunt/LuN+kKZzcOh1woO8o7JP13G/pEQd1uHohCY7zOJNWCxY2b7V5XdZ +ByycmHomjrGhR3imttuTDui7Tuib5MCf786ft9DsgNl+s19+crGhsdfNw3cJ +HTDBkHPSfzMbfn3CuNUA2yFY/RRrwMeGZy8/zLF71A6fQrFSQUE2DLVi/ScN +2uGn1+U2/cJs2CkW/06S3Qar+Wk3UsXYsGXizS1TiD9HrM/flGRDA2O5wvxH +bZBLQmlSTZoNgyN/bbY42QaNXSiWhH34+u/R3HuJbdB2NPDYXzk2bIpWNT1Q +2gpnM85EvZBnw5vRawFXnrbCsfevnM8rseH35FP6TTqtkFfjS6awKhuqjPkf +89rQCvVKpjx6Ndgwmwvj1K1sgQ/2piR/PMGGKRuFjc6EtMCfAofNr2ixoVoC +8edjwxbInuy6v+8UGzoITI9O8bZAi4JlkenTbNjeMfU8oLEZKp9vU/xmxIYP +brO0z71phgLqNWXu59gw2oSz3MiyGf76tKde3pwN6//7m+0r0gyxUHVTihUb +pm3tL2zvbYILb8xMMm3Y0CukMvTyxya4tqey0sOBDQ+cb2uQvNIE0+1HCg9d +ZkNStbzKJtkm2M+3Jjt7jQ1bDevd9sw2wqEG823pN9jQ4qHvHo+sRug2dPqe +swcbct6r2jp2pxEeNJK+IHOLjeedSF+IRiM80qCUO+jNhp7Rr0/asv9Bw+E/ +r977sqGblfi0Tfk/OFQsN2b1kA25x66GBwf/g0TTzPxtT3B8st3jQ2f/QYUz +idz1AWwoT01Mchb4B0X5jTufB7NhwqrW0pGcBnj2H2mP5gs2LJAbOUUBDdDZ +eTN1LYwN00Nq0rDaevj6fp5G9hs2jIsiht+wqoeD186RXN6xYfM2qsv+0ToY +f0baYFccG54755h+wqsORhIe8Hd8YMO6l95/Uti1UGR3yoWXSWw4Skk6fOVF +LVzinpPUSWFDsdVMJ2/RWnioKc55LY0NBS5ktnR9qYHDxiyF79/ZMDCFwQxX +q4HvxG19HbPZMOPhkYuxf6thWQRJd3suXt9JlSvLFtUQVR8Nr8pnQ20JsbjE +sSq484OxvV8RGwrqqz344F0F1dKDMg6VsOE6gS9oZkMV/G2g8GSgnA3dG22O +B0dVwtGEV+3hlfj6bJbEnX2VUDJ0PkOrlg1XQ7DMjPy/8F3GO56FBjbUexp9 +W83gL7zs1TyV2Iz3R2M7jbf3D6Szxo1M29lQPGryu6LHH2ijJaFM7GbDZckP +iknEP9Bvuigho48NF/07ORzeVMDIm7zhtkNsmOhmnO28twLycFlu4BljwyxC +ZenvgnJYld1HyJtkQ1giVGZ9thw2yc/4X57F+3NU/KTuUBlkcfwJ3Eplw9jJ +or/3vMug6NNs/t+LbBglPTyxxF0GOfNXpK+tsuGxTm+l3x9Kod/D7iI+Bhvq +Nzuo1RwphVG3knoL2WxY9uhpsFR1CZR4cKY0m0hAW3jz80vsS6Bugu+F5yQC +qoz6Z5O6hKBv7LMcaw4CEtQK5WwLRTCzJqRZnpOAHnlGG5+RQtDKMyOXxEVA +LinyUVxeEBpmCdi1cxOQ6sSOPdwJxfBxRE9V2iYCks+v9YusL4LlZNn1B7wE +9Dtrui6N+RvubROdN9lKQCqH+oxOH/wNX/1uS93NT0AH86oUb9oWQgPT+3uX +txFQ87EXORIvC6CZoNyNSkH8vNTCTWYwHzpe57wdI0RAl12jvLdQ8yAWdVjL +dQcBedhtljfZnQe311S3HhcloKa2jNuCFr9gitDioS3iBHRPLfu5XXAujLpT +bzQgQUALW0e+7C/6Ca+U+CpmSeL7b3+V8KHmQHbRjt7HUgR0J5ND7vSeHMjY +VmtkKk1AORH3BGOsf8AT57KfSe0hoHRN4T03wrNhyeTMY9peAqq98SC58G8W +9FKL0y2VJaC7r0sHQ1iZeD4PNITLEdCh+4+kO5Qz4dPeTslLBwnoWFawj273 +dyjsnKqmIE9ASP7wYrPBN6i+xVWIrUBA/StDFy8WpcO4bzpFdYoENJN11bRd +Pg0Wkkz3xx0hoCR/8yenk1LheN4POxcVArLfuy0yQygFnrEJvqimRkDb6ipU +N774DPsdaeIbNPB6Dp8VMSV9gq77eb80HyWgL9En50N9E6HeMp2ecBznK7b3 +Rg4tAS5Ru7a7AwLaUbst7E17PMQOV69paBJQ2Kkwv3c1sTDw28QnTm0CGnN1 +FPIqeQe/njEXbtEhoEL97n6J/Ego0XTILOEUARXXWl+My34NbZcjrFz1CShw +Olzyn/UrePNckozaGQKyMWHsZJsHw/or9wtJhgS089f9TnT+KYTxGiINRjg/ +IXHrkmm+UOgsWzPGmIAGbmgIfr7mBkMyxxWvnCOgYb4co2vSpyB5im9W/jwB +idYKvPfScwT7OONurpsRkG/DvCcXxx2QxkwqKrcgIK6lKYdcD38wmq7X8tKK +gEJefFXxvhAIujo/5VhdJKAyzZLKSvAfSFLttJOyISAtCbuzF/jCwXF7rHna +loCE078KiRHfgIMtx/l+2hPQpw3664fm34Lb2JcdDy8R0FGLNrk33dHg2slL +M6ecCCi8PLvX6E8cuFz3NHjLFQLSU1k/ZpfxARg1H6S2X8X9VXU638ngI3C5 +7Lc7wZmAgE58o25xIjB5+J+kswsBmTCr7loofAJVnPcn5F0JaHIDf8Hbj5/B +UOPl+ytuBPR8R+4nTv4U0BR1tbPYA+f797Jm2uNUsIsdhwV6EpDfmHDMI8oX +gAfFiuEt3L8k1x9BdungfM+OX9vuENCBqLOv/9R8BUMK0Vpd3gS020dJXUPt +O4gZLY5OuEdADnOfU0eSMkDUkZTfV30JSM4/xcPpeSaY03JPP+BHQGd3MWdu +HssCMZIKV2kPCIgsXHdalJoFrCo3zv56REAEp2TM6XM2WJEUOPngMQFpcyhE +6F/4AX6tu9lrPcXriZXzrt2UA/i3KRpwBuD6It2VmYc5IJLPj1QbSEAfKbwi +WV4/gWfwtaCwIAIq5eer5ZfJBaT1LV1mIQT0b3NxtkB7LoirC1sV/o+AlP67 +r/Mr6Bc4c5FjpOcFAS3BtuV19TzgPBQUl/AK7/9ywImBqTwwFaEidTkc93Oz +y6trsfnAN0j2zt4IAtK0f2MTblAAxiv8IqfeEFD5Nk1hO3oB+HfC4Om3twQk +HTegVJ9WCCj/Mk7cfIfjHxWUHLrwG1zRq/irGIP7Sy7fMGZjEWBYJUssxeLn +pXTuW8ktApJf3LR/vSegvCAotXa5GGypVFbx+UBAFQWzKQn8EJAVd6xofCQg +ny3SMnMQgmgTxUBGIgFxnlYgeaogsNM3drjoE15v5U3r4v8QcKa6b3mUjOun +JsKkfwiBZ2N/uE6m4n61uS/UolYC3L2LmghpBBRk8HUk7mUJcEl3dSlJx/Ut +ajyjPlICAvzm/j3+RkDEFAXHdPVSEFRvs0ErA++XeJkP9WUpMLrVyI1lEZBs +lcTVTSOlQGb/1b6SbAJ6N41dZKiVAeWEI48f5xCQrk/b85IXZeC1h8XCyVwC +Mp5L3WUzVAZuSI4eIeQRkPVBpQu1KuXAbN+6LswnoDjRDnv+0HIQMv19z8NC +AmoP/3z1UH85KCwQaz9WREBz62bxkkoVILXVxpJeTECGWoaqk4EVQMolKCUf +EVCqbfyloK4KIB2R9/duKQEpym0yYh38A0IubshTLiegteMcsgaP/4DovJB7 +CxUElGuZKu3R8gfsibDjyvqL99uy3N1l71+wVBzj4l6Fz5uJDuXjvn+BE9sy +Tq6GgG4LCaWO1/4FZRwZ8RO1BHRBxHHh+s5KEOWV5/m5noAklox1yz0rwZOW +/wQd/xHQvOb+muWySuD1RSdEoomAPNPmsojbq0CP7WpDVzMBWaYZ7xm9VgXS +DNHY21YC+nrxp9nH/CoQhHLqTdsJ6HvL8esqPNXgD232OW8nAYUuF736ZFMN +3Hie8Vd34fWJlS5Mf6sG0VKv3AN6COhn5Eu0iV0N7pzYG3eyj4C6TCV3cZrU +gFfml2Pp/QR0Kezgye6EGtBtaOeaO4j732WPfjC1BrxZO7DFcxiv56qyE59W +LSjaOfFUbpSA3oudLLz1uhbo3EqpHh0joNi2cZ/MoVqQG/Vk+MMEri92cOVf +xTrA2hlef2GKgDb3n/yX/6QOmL+aCt02Q0DT5JH8wKY6YGCVLFo3S0Beglzf +D0nVg/De7geB8/h8IJNbszzrwTvPxGxAJSCr4XGLrSX1oNmCr2CVRkAGNs+t +z2xtADwIvMlaJKAzh+5wO9g3gPEGHU2XZQISySGHnvveABSiVUukVvF58PIM +eSezAVzYKS/QvUZAe/1fnh2R+QeKzbU0Iuh4Xmtxn9hr9A/slwxSMmAS0MY9 +f5ysbv8DbaZCBBIbzw/Xxqa7sf8Ayt6QUEAgojFZ8fiA0n/g2JLrNi+MiCzD +/DoeT/4De5DDRVkyEYWpf37jurURWKSt3h7gICI1A/lRXdVGcPCogVMUJxHt +qI/s2WzXCJqn3GXOchHRTKPKi/JnjYBDyreQzENE92rOc7mkN4IjR5/KFG4i +ouNZfE6sxkYg/TjByZOXiNrUfL4+Xm0EcfITd/ZuJSKFw3dXFiSaAO/tmza9 +fET0JbzH3Fy3Cdx3NRaK2EZE72rtOj/faAKG+2KT9QWJyIj7XcRoeBPQSL3O +zdpORLnGnG8F8pqAQd8/rR/CRPSsYitNsa8JlHwbM3YWISKPEWbeSXIz7j90 +WFyMiELymfTj+5tBk+2diUZxIlrhkandb9IM/v7ecTtwJxGJx7hrcHo3A8Os +shaNXUR03arQsjm2GexoD+KelyIirxdNR16VNIPLBQ8Fk6RxfnY6DmmMN4Mz +XQVLFnuIiP6NdbNtUwvITDZN595HRPOju6mXFFvAjifWKsWyRFQQceRWr2UL ++IWm3nrKEdHtIV/O0w9awIdUwTrpg0Qk8HZf8afEFsDypHa0HyKi7fstUyh/ +WwCmF1EQokBEqtwbmw/MtoAjOlu9jisS0dA/6XMX+FvB3nsP2PNKRFR94dFh +b9VWMDg875ioTERuHE1Pn9q0AgtfvzgzVSIC/dDy8eNWUCGp9nWDOhFt6Gr5 +7ZHcCu5mqL7O0yAiu/GA0rM1rSCY8uqsyzEiMjh4+J4EpRV8STAfFD1BRC+0 +JWb7BNpAmMf7M3WAiAT1HiqEqbeBo+z7IQ81iWhts+s5Rbs2EDLM8VFem4iO +2c3YVTxpA02fjF8O6BARhX/u2umUNhD62800/BTOh/KZ+8U1beBF1O1ZTX0i +2qRTniJNaQP5kffsaaeJaNGQm3FfoB185XqZmmhARI/5fwaWq7WDPrWqSlMj +Irp2Qt+CZdMOJG1OIMwYv/8/RR/Zx+0gJZ74KtsEr2+sjqn7uR0Y79yr7GiK +6zXSnna+qh1sopRm85nh/bssfOX8bDsIEJzkLDEnopZGgcs6fB3AJejbkZuW +RDQlY8vco9wB5pWk1XdeIKJbCaMn6FYdoGfZQbD+Iq6vzJcqJX4d4H3S3So/ +GyJSXJem3UvA37Pvm8vZEdGvkEuPpMo7gG/54/xOeyIa2DQ1XTTeARzj45ae +X8L13mSia8DTCbIODnCpOBFR9ybB6OpDnaCYw2F5+DIRnRxMXDxq2glcvssX +hl/Fn5POX/lwpxPEJTpaAWciyu9zW1181wk+nNtUP3OdiDwDZAqP/e4E7uIn +xWJuEFGCeFyBd38n6LXh09ZzI6JPDQOkJKwL3L8YobXoTkRb3lCSSmS6wD6z +TpGPN4lI+HxuSpN+F5D3W64x8iKigI08Ym03usC/Vab5+i0i+jr4c3Ptyy5w +ewTLT75DRIcuuAbnZHUBIyPhJdO7RBR4oyn2VUsXWFA+x82+R0RYnO8525Uu +MP8Grab5EtFPmbFccZFuYGrugyz8iOjszoCOf8e6gabFy0vYQ1wvwbml3vbd +QOIGf8+3R0QUd7/y8ZYn3SDVWljhwmMiKj+2uiv2UzcQH8m2JT8loqMuXhk7 +/nYDkZ+LlzOeEdFmzvMqoZPdoOIWRfdiIBHlJX8unefpAV/z8wgcQUT078UV +B71DPWCXoENkRjARhRY9EH1t0gPcN66RLoYS0YHdVewGrx7gz/PWkPwC5/sL +/w5iZA/gCTnt8f0lEU07Ct6S+dUD9o3KuFqFEREhym/H8U78vddxbew1EbUO +Dgvp0/Hz7ycupkfg/bBt9zkl3gu+g2v+5pFE5PKt+Ywa6AW5C+/HWG/x/BU9 +9Vb8Ui+Yh1Z7U98R0as//11bftILCku/aJ2LIaL4+OWq0k+9oIg3SW09logO +x5VVPvnTC7rSLbiS3hPR2wppD5WJXsAR1ZZj8AF/b3ussperD6SXHjm6mIDj +HRPvvyfXB+oEn8bFJRKR2dn6Yk6jPlDg2tyh84mIeDboeIW49wG/aFXKzGci +SuG9RiaG9QGmY8nQmxQieijO538jqw+QA55kHvtCRPwFmylVTX3gU9Z/F0bS +cP70ROzFFvH7XlF7Q78S0cU9Y+2Ogv0gobD0uNJ3ImJX8l95r9IPfv3h8+nK +ICLvXiW+Wst+0KxGefU4i4gyTjWMzd3rB94vPZ7s+0FEr3VtKRwx/WCfxkeT +hhwiyo7RV+Mr7AdTSW/X7+QS0fLzucqtPf1AQ/aSv1geEdWuxH8lM/uBtTj/ +UGk+ESVr1Xsv8w6Ag1UFO68XEpGWBW/N5Z0DoPqGq/qWIiLyHdhtVSc/AAzV +1eR/FhPR0xdiuxVODoA2a3miNSIik0i2wguTAbBz0TGDUEpEwSV1gSMOA6BP +aEQ9uQz3r+9jWRXPATDYVJZgUEFEjE5eiSePB8DpvdtGKH+IaNsXp+uV4QOg +a9Mw6W0lEXV5XdvKlTgAtDx1CEeriUj0BV1IJ3sANKjpd/bX4HkqTX/mUzoA +jh5nv3xWR0Tj2kdtvjQNgImzvrtkG4ioqi8ksXloAOQpVYfV/cP1M5Bts0ob +AF9T2T2eTUQko+D9Sog0CHQc5DZsb8HzuzgcHN42CNxIdpsKWonodMhvT93d +g8D+cOq8bTsRcf1K2W+mNAhmH4lkEjvxvAxiudtqD4KvvhVGn7uIqM7zqval +84NA5FN+pX4PPn+kH321dxoEAnc4d830EpHUq6HvVrcGwQ8baPGqn4j+UqSN +DZ8OgkeIel1xENfTQEu4RsQgqGd8v9g6hPvZ+P793UmDIOgyp+y9ESKSi4nd +yvljEKSf5GkVGcPz6eUP89HSQXC0sdquaJyI2u8dNS5uGgQSRhZ/7CeJSF4m +mfh6aBBoDBbxYNP4+mkHTwfaIMjK4pP/NENEnag5URYbAladlxROzRHRpOKl +mFm+IRB2vXjLxDwRPfK5avN11xC45aJaF0wloic+R2evHB4Cp7p7nOUWcP+0 +KZ4T0RwCW7KLh2oXcb1To/+rMhkC5d0zGu7LuL4W85JuOQyBxqN3Pbes4voZ +bIoRvjkEHL+5BWauEdHVMBnvvEdDgAMb8DlHx/VZMKl+/tUQcMb6DGgMPA83 +nZ+aiB8C4e53Ga9ZRPRRIizU5/sQOMgsDFUiYGhDUPUujuIhcNmmcK2ZiKGI +oT1ZoXVDYEkh4NRtEoa82sqPb+4dAu+EZL0EODB0VRTWBM8MgZdJuX45GzD0 +L0DOnsgYAi/sj18124ih2K2ijFs8w8CjrvbQIheGPvVEJw+KDIP8q7fbIngw +5KOZ4Xhm/zCIjtW2VdqMIel62yPf1YeBdMvpsiZeDD0yS9q5+fQwCPV4u9Fr +K4bm5u7tu2aFry9XO8jHjyEHrmbT39eGAUXy5OHMbRg65/wxcdPdYWBVXShg +LIihtkMNolaBw2CZWdA+ux1DXGNapfGRw2Bw3tD3P2EMVQf2RQ98Gga3av0Z ++0UwJPbwUbJ4zjAw+XXFrkoUQ+o/WNPmZcPAvIY74Zo4ht6HK7gHNw0DR9FH +JRw7MVTAP6qQNzgMDLMbS5MkMRRSNK46RBkGneF8nzSlMOT3nR3ISRgB9T+M +rvTvxtCH5Pld+7aMgAGuyA0PZDC0ndt7k47ECPB5sPxcZC/O75jhGeuDI0B/ +3n/y1z4MFWL7+92OjYCPatpy5vsxFN5VXH/fYARI7Dc0oslhaEd6nljAxRGg +81+a8auDGEq4i2qDr4+AezvdFA/I4/xvuz8UfG8EmMUlLlUqYEhVOvhSwPMR +MJ99IfqKIoY27Xlu5Pd2BBTyfBTHjmD4DNyc5v55BOzTe/4kXhlDq66ZvjY5 +I0CdKVKpoYohz/2EMt0yHG+xy1ybGoYUu4IC9zeNAPltAUteGhiyS2iq5B4c +AQJ+93p5j2EoJfrSi7H5ERDveT457TiG7k/9bC9ijYBnl6VNTgEM6fw1SA/b +PAo4i9e6Bk9iyNIjlsdebBRI9w+eeqCFoaWjOxj75Ebx/k5HCOtgaCVZ2X9O +fRREt+4u/aGLoQf6trEZ+qMg6lRM41k9DImMrJq4Wo4Cq1yb0kl9DJ1ycfsk +fXUU0O183jw7g6E6klh0x+1R0HaLpbfTEEM/tjoqBj0dBTU713vyjTC0Sz76 +ltLrUfAu0Pe8mTGGnukJOXQljALR8hfpcyYYag0+RPfLGAUqs5qjQaYYEvc+ +qC9aPAqu8H4m7DbDkOiQ3ZmftaNg/8EK5m9z3B8kbg6D7lHwUy+zx8IS15eL +1/2eyVFw3ez2e4oVzg9vR+b11VHAobXzZMhFDDGs7qbSNoyByNXi8t02GDIX +Db5yV3AMSFpdkiuyxZDmR63pld1jwFVd4LaFPYY+ZrYeu604BmTcR+PnHTCU ++Oqm7czJMXAXDaUHOWLoCM8JEwfjMaC1sCN212UMFXtfEf5nOwaWS965FlzB +kHwhd/5R1zFgMOgqef4ahm6dO6uc5DsGZFlJudPOGFIxMArbEDwGnIsN5J+5 +YEjXblfdlagxwFviGSLmiqGJvoE59BnH+353ZY4bhkqr4leFcsaAyoj7hKEH +hrBal1mX0jHwVuLS9MhNDEVpnvuX/28M1NZzNvp5YYgDWH8i948BmsfNaIHb +uH/CX7oazI6Bnd6pOl/vYIhdNSv3kj4Gnp0tatK+iyHS8XujtVzjQNH+t3b3 +PQyFcuyP4xQeBwKcP6K8fHF9b2OYntgzDtzjv9dz+WEISo5s8jwyDhy8f08k +PMCQ9Z+W2g9a48Cgc3JU9RGGqF5FkdUm40CJW+dPvT+GZH1CXKh244Ci2xF8 +5QmGcrbKnBVwGwebSn8oMJ5iaMHslrbS/XGw5dtwwesAXE/mVkZng8eBifyd +fbLPMSS3Ncf9StQ46L9+xwcGYYjp45R27zO+/y71m3kIhtwfniQF/RgHti7L +FdOhGArbKuUXUTIOxM+Flzx+gaE/4j1CsQ3jwPRwQ4LQKwx9fg8643vHgRV3 +kdO3MAwR34qUxU+PA6fWa9zarzHULaTWEbM2Dp4963nTEYHrXc9BNIJzAmwn +7SO5R2Jo9KrVq+eCE+CJiqU5KQr3S/2Qyr3dE4DK8A599w5DY8vFAlcOT4D9 +h958PhiDIZbfF7mzYAL4xhYmlcZiqH6fzUMlownwc8t6gOV7DKHJF1sErSeA +kLGN4Uw8hjr6aYM05wkgKzS/7J+AoZ2Ox1ZrvSdA6E4YIJiIodp1YfOkZxOA +d0fn6pckDG27eYR+5/UE+PXttMmJzxiarlGd1UmYAJufiP/XlIwhKfOqg1u/ +TwBnpUtfr6biefT+P9heOAH4L+zKWv+CoesPpD7HVk2ArqcuMS/T8fMlZQet +2yfA4xOnnaW+4X4kHvMWHp0ARpurRXK/4/2bW7jaSJsAw25rWacz8bwWGP8Z +SJgE5h3DB3uzMHR4LfWKGu8kWCmKfHnzB4bcnlbfGxOdBEPBoi2knxgSZnVS +w2QnAc/Hx6y3ubi/xZ2aVVUngY9jy+b9efh8Ys3t7NaZBDF7JLGifAz1HCR3 ++ZpOgk7g2W1ciKHg9D1kIYdJULDeHD30G0MaM+0JGW6TwOK92fE7xRiy736b +rXN/EoRcY1dwIgx5j/YfbQuaBB8iBpRiSvB8XzwALr+dBB7m5OcHyjBUeWup +eC5pEjR0ecPicgwNWXwvupM1CZwNdHpN/mDohXj18bXiSeBVdW9g6C+ux6Y8 +TZ/aSRB9U7LqdhU+PzZP1Cx1TgI3C72oDTV4HmFlfe7jk0AjdO3Mu1oM8d7O +9htZnASDwtojsvUY2lsulmqBTQFZkoJTYQOGDClXnCq2TAEf/dq/ho0Y2ho1 +n6kgPgXGBnbz9zXh/l0Tjni3fwrMFWtpebRgKI8ANjFVp0Bp/RErQhuGXmr+ +lrDTnQK2Kxxm4e14fq1P1BaaToE3O0qVpToxdEJEdMd2hymgvPUOM7sLn0/6 +yRxublPgT+b+dO0eHF939xvkOwXyqudOtPTi9YxzV20NmgJZe+vyLvfjelD3 +/2QbOQU8QhuFlwYwtOVKoGxK4hRoz+G0DxjC+f915eJsxhQg2twPFRzB6z91 +WV2haArQldTiP49iyJhWUelRPQWkpk5HKY9j6IBjLffXdrw+md/eFRN4vby/ +iKMjU+BEcMwx8yk8L4+WZYjQpoBjJmViZBpDgOuAkBF7CugqVt+/PYvPk6v7 +Nfw2TYMtCYpLpHkMcUosiaTumAbcAcrmERQMlXegwn97pkHUtb5YKRqGvokg +iWWlacBXqVaVtYDn+Zndp4Q1p4HWLpPek0s4vlzhI6pnp8HkhHxHwzKGbF/V +TplaTwP2y+F8u1UMuVKdXW84T4OpB95PZtcwpDwqWOh/ZxrcE1k87EfH0KDT +WsfrJ9OgrPxaJTcTQ/csVCs/vpoGPW09utEsPP+iqSHf4qaB0We7tL0EEuoj +6e/O/TIN8h6tLv0kktCIk1VEYe40EM/8uU+HREI9T0/0FpVNA9L9j1pNZBL6 +d1CAVPRvGgzv/KvtsIGEJA5SN+T3ToPMjsMH5jhJqMF4eiprahpgXTP0+1wk +FO+yPStlZRocO0/6wcWDn2fzzDqGPAOC3f3PRW0iIU8+3ZlgvhlQZOLRLs1L +QsF+V694S8wArR3dOtlbSGgudbHSXm4GxA7VRwM+EsrNXBM+pTaDzzfztlp+ +EvpV9sBSVncGMP74rl8QIKHMvc8DuUxngAFDf8O4IAm1nBRJHbObAVPXatZu +CZHQ8n/qxejGDGjh2txK2EFCf1JGq6PuzQCFXuF3L0RI6ME58X83AmbA9Y41 +LRExElpx6W049noGOM0UtCaLk1D0mmQt94cZUEC+ZqK0k4RGFQb/tKbPAP+N +XD+gJAlVXBcsfZ83A+w605kGUiR0VO4HdKzA7zt/UaFjNwkNy34vkW6aAfeM +dxpcliEhIZPVquE+/P4PHGcpe0go9dfjrg/TM2D3VmF1v30kZJWptmS1OgPY +Lpc2bdxPQioVXGJbOGaB762ZvxFyJHQuv9+klG8WiEyU3dh5kIQOBidFeknM +Au0ntJW0Qzhe72MzO+VmAXP5iauKAgnJEcIsqlVnwcTSo6qSwyS0Nvq4zVNn +FrTKLvIaKZHQZflFt+3nZsFjtaljHUdIyFrur0Se7SzQK3M976RCQnTPzikL +l1lgcDXQdE6VhCpHOFto3rPgvzxNDR91EvL/ebAn9Oks6DH8wk0+SkIal6U5 +pMJmQU7m37KXx0ioqqTM5GfcLBh0Tbmy4wQJ2SwMIt0vs+AYx3lKEiChA3fO +Wzb/xPGvtTgd0iQhXZFpQbvSWaBcporytEhIk9eXNVo/C952BHBo6+D9727g +v9E9C5LTqpTqdEmo8FqB2ez4LLD6vNnAUo+EDq1y/HFdnAVKCjYGg/q4XpUf +OE8S5kDyN3jkxhkSKpObPO60eQ5s99PiXDIgIZYBn37XjjlQsThX+tCIhEzd +C4PO7pkDQq4N1zYak9Du9nQiUpwDDopzS+EmJDRz+HPOITAHul+bu4maklB6 +jHNSjMEc2N+ypf7TeRIixf9sIFnNgSi1vcKHzElIR/nMUZfLc8CP+dnglwUJ +1dYPjdfdnAO91m+dT1qR0JSRRvuhB3MAPsc8qi6QEA8vN8+L4DlwMGvRztSa +hPQGuQImIueAEemuWrcNCdnzU05pJs6Bx58i6E52JGTk5mka9X0OHP1lljpj +T0JSappfpgrmwLpV+Yk7l3C+VPmMjv6dA5GJM8VMR1z/ueEguHkOsFPb9wVe +JiF+f88nLf1zQNzvlR/vVRJKGLYVEp+ZA3F7JQreXsP1kocRnFbnQFj2i0GJ +6yRU5MB9Ipk8D2Z3TtCSXUhovFy8eWzrPJh0U5075EpCYdYjSFp8Hux/G9Cc +64b7dx+Zy0F2Hrx+2ZN4wgP3C9z17Z3yPNigf8rmz00SWjg18L1ecx5IZ9Sy +jbxIiOo5uAU7Ow8OffV50XqLhALDKhoVL84D992WHLZ3SCjkqdyyw9V5oLPo +fm3Em4TKSzMf/uc1D8bWqn/cuEdC752orj8fzoMgnjtTNB8SuikYVNodMg9+ +0715fO/j/ZPgfcx+Ow/C3nVtJz4gIYK7aJpk0jwI/vplU9BDfH3IKQAy5gFg +zs7w+pPQlg/SWtaF8+CIYdavyMckJHbvdM7tv/PggQXTVewpCZ0P1YsKbZ4H +Lq3dm5Ke4fk3nzHzoX8e5DywiJINJCHtK/y5WdPz4C/be1PmcxKSv8BcRCv4 ++Rv1XFWCSeju3MPWMSIF7AX/cn+HkBDoapiZ5qSA6/piM1r/4XpMUSmZ30wB +fOVHNlW9IKHXo3fP07ZRQIrRbiHjVyT01M/y08IOCsjwo25qDcPz5Nu7nIWd +FOA0kjp78TUJfRNgPaPJUICVwPn8gQjcHymnt1PkKOBx1JrH1UgSKs49dn3m +MAUULn7mm3mL5xs16uG4KgUYZ1yK93xHQlGOopaDxymgS1dl+0o0CR3xClzo +1KYAA6WDPn6xJCQ9FmXWeJoC1maN/xLfk5Dk2Ob7f40pQHoyhfA8Hs+vlc/X +fptTwM6IEzKbEnA/scVEM60pwN5CXDn8Iwlx6Mm/TbxEAd3RRgrbk0go4O67 +zohrFDAMO7bHfsL5fr9t7KkbBcjtrZzYmUxCf/dY//a6RQEq+2WSP6WQ0Iap +fbYOPhTQvnPtrOwXPL/FVaoMH1FAwkWj4W9pJNRlf5SoFkABgrJyTopfSYiR +Q+GQCqUAm7bY+txveD4939zBHU4Bkl9SZY5m4H79on+P9pYC1EcuOsNMEvIw +txrviKOAyT+Fb7WzSajgEE2mOJEClP9ryfz7A5+PJ2uOJKZSgNGN77kGP/H8 +Ir0TCPhOAdeiTFMbckloh+WmP1dzKODiyeqA83m4H4K7T+sVUMCncAnj9nwS +umial7AH4fizrcjWhXh+dpjVkP9QgEbl4899v0no0zfH6sEaCmigJio6FpPQ +46bX8UWNFJBuUJE+Cknoy69I/XftFADnqFuvl+D+Oipa5dlLAZ7zhx1nSklo +59cmyTPDFNBo9/KDRzkJaVW6mOyaxPt9emsVrQL3Ewq3WpnD+5eP+u78JSFV +1SX12kUKwH6mDqxWkpAx0Fr6sE4Bz4811t+vJiHeSzKhXgQqWDqr/YVVQ0Kz +b88wtDdQQcoY583HdXh+GNueFthEBUfX9+4mN5DQhNvGW8N8VBDr97U08B8J +cRou+2QJUYG1bfxZriY83/P+2T0UpwLa8w1/Q5vxfFo5KXVmNxUcH5mV423F +86lyvlxAlgoSLGwfhLWRkJ9NgF7fISr4BW0L+Tvw+X3pS1ryESq4wFgZfdNJ +QqeZ2LybBhUIjB1hbu/G87JeTfDISSoIMRUnRveQUNYsRXxNlwpytxVQRfpI +CJv7x1VkQAU8q9sa4vrx/O1/0PnoHBXEVCtFSwyS0MDpuBeallTwzlTKJGGI +hMaU/+3BbKng/fmJhV0jJBS3p+hziSMVcL98+SxplIQcxDbw+DtTgU6xOCYz +jq+PNLI87k4FRu/jXZMn8O+bMOXQtVtUUDywo3zvFAk5Btun5PhQQbjGu41f +pknos6/rV/dHOJ4LUhr7Z0koeYARszcAfx5HVulzJNSbl3mrP4SK68/v8gEK +CR3336v6NowKTGdsbb9RSQgpE8YM3lLB5xQ37UML+Dy36fQnxFHBTeuc7RmL +JNS/YrIx5yMVkD5qtMsvkxA5jPzgagrOHy9XQOYKCbXLh/cLfaOCGeV9kofX +8O8L5wiFymwq2JqSkJq1TkIdhik37+ZRgdOsr4QiA8+Te84JMsVUsBYGH2cz +8e8Jbi/UVEYFK9vvNimycX+n2TU+rKKCD4S0rT8IZPT5aWWzbAMVbK51OKaE +kdHAmdOVzS1UkL2QZP6DREZqJ3wz/LqoQG3+vo0SBxmd3LUYLD1ABScVqSY/ +NpDRYU1jq5pRKtA6uElJaSMZXffeLeo5TQWFRq3YDy4y4t+1sVmQivPBNEOK +PGQkLPfGP3+ZCjwSI25kbyKjmk120jYMKvgvIZqsyEtGcxX0YiaRBk5aeoRm +bSGjkWHsXDwnDajvFicc5iOjc482dh/fTAP/2aY7ZvKT0Tj4aNvDTwM3baR+ +yAuQUa7lpU4fYRq44xVC/S5IRtee95zdLkEDjXPT4oeEyKhFIrk4azcNjIsb +q30TJiNnuomsoSwNPNP/ffKACBlVBHm8Gj1EA0I5R1XTRclIpCKC+uAIDegl +tYruFycjpoaxiaAGDfCYv55LlSCj2xuVvqYDGrDm8M3YK4nX09HAoalLA9kz +b+ySd5GR3OxP29YzNDB7cpouvZuMxATv5Dib0MC+IwHPk6TJaOePOG66OQ0Y +L7kQpfaQUURRocN/1jTwPvPT9YS9OL4ih19il2jg3UsNJCGLv6/bseXrVRro +yTnC8X4/GbnE33bWcKWBHN1YNdED+HnerLK/njTw1sH7YvRBMnpzQEfK7C4N +hOyqdxGSJ6N2haan/X40YP4x7XqkAhkpBB2ZvP6EBiSWt1luUySj+Npl04Xn +NOChyK8UrkRGs4c+ldx/QQNtV74xeZXJ6Oy9v8qkCBogv5/N/U+FjOic0xnB +72jAYLDLjluNjG61vlPYEk8D3OoPlp6rk1Gcx8W8iCQa0E3p8eU4SkZbCPl6 +Ql9owPsAcf7JMTLy0zveH/2dBsIraOcIJ8jIKMHjkWgODTx3zU96AMjoPqFj +X1w+DbwSth1ZP0lGL5eZ3aKQBl4WjW67p0VGVenO0THleH8MrRWXtPHzx+Iv +CVfTQHN2BfDSJSMljr3KkQ00wNVz4Nj8KVyfHM8F+FppIDfj3V5XfTIae6hD ++K+LBr7w82GTp3G+UkZWOQZogDb2vuaKAb7+3Azr4SheH4/esyFDMlqa7udf +mcL5tBY4YH+WjGCAtrI7hQZGMjeXdRuTkXp1zNWRJRoQGdQ4bXWOjE6Rrqdc +oNOAGkwqbjEloxiRw6t1hAVwQNRk9zkzMroXfeeC5oYFoF+qd7fOHOcrNa/m +B88CKHr4uuC0JRlFbfUzluFbAE+F1GYrrPD7NTRHI7cvAJ1zJ7doXcT5OBz8 +gkNsARyfzZYstiYj/4QW/du7FsD8l6hdGrY4vuYkoaE9C2Bda5kv146MOgu9 +188eWABSnm3Uww5ktGeyllpweAEcmwIl3y6R0dYwGZaM6gKQvKThL+uE6zeI +vTPs2AIQD6w79PkyGZ027LRc01wAJzYQ6ySvkpH4ukLyJb0FMBDaczHuGhnl +mz/jqTJcAPnF1zqEruP4KkyC5E0XgKV2mm6EC64X823ikZYLIKkwPZHXFffz +L/3qNZsFcPPPrflgNzIS1XILs3VcABoE7gMcHmRkRmN4oGsLQBvztvK/ieN3 +uXVdym0BbHGCt+meZFS+bPDgqdcCCMqd9fe+hedRAPHr8N0F8PXFxgfU22Sk +9513WesBzp+30HVXbzKazJ61/vhkAXQwdumO3yUjCV/hPtbzBbDpizyfow8Z +fYnY+MD6xQIQJerX9fiSUaWqqvqv1wuAM8jLx9KPjBb1xbfxv1sArsW5gk0P +yEjVVInH9f0CGNsllmj4iIxQIHVXRSK+/2CaxF9/Mnr+p8FSPHUBpFs5h2o+ +wfX0PwarPB7KLgrPTLNHsqRISJFsWaOF+0YkqShps0S2SlFJWkiRkixZSiEp +FCV8EoocKUkbqWwptCChYsw+890/7+++77nnPOd5nnOu2ZeElUygNhWvoccx +VDCwaNF69d8Esv2WarH0LBWijnyo1qyeQDTtGYfL4qhQ8aM75EjdBMp07rih +d54K5Y82O758OoFSn3Ge5Mdj/X98YKvWPIHKJkPfqCdgPJ8d9j7wBtdr6/I6 +8yL27wZabv17jM/MrMcKSVRY999X8szOCXTmybasi8lUEBmEn/funUDSopR9 +9EtYv4esze4P4HtDJ4PoVCp0HyyiiAYn0OCNi738NCrENhtyHUcn0Jbt3qcO +Z+B50Wgtn/EP11/0Un70MhWuejq79nEnUODA+/SATCoko9dVeuIJpOdyhtl3 +lQpejUvswyiTaJPN1+DtWZhP/4b4tYxJ1Dn5p+F9NhX+xOz5RJWdRF41TxjO +17Gf9mv1rFOYRI1vN9o8z6XCI+04ZursSVRx5K6/TR7mqyrVu0NtEn0c6Yys +ukkF2nLZr3O1JpF78Nc443ysxwr5eO9Fk0jLuCm6qIAKPn6nPW8aTKKF+9P3 +ad2mwsTnVx7fTSbRB3fXNVl3qED23XVO23ISBatTlZSKMb+HSnr9V04i+38V +bRfvUuHY7AW7ClZNotWSwGhaCfZnZyO57w6TqGDfIs2o+1gvl61H5jtPovM+ +/LKpUio4VT2Z9HKdRAuoP0xDyjG+OhoGWe6TSOnI34LB/6jwQO71pU87J9G/ +dm32rgdUuLPJVEfeZxLts4737qykQmHMk2GngEn0+pVWoUsVFRx/f/4cs28S +1Vzm9zZX4/cv8qWPQydRW4USY9UjKsioRG+eODKJXlqcmF/zGOtD2NOx+MQk +ajUwNzSpo4L91ohE7+hJpH3bQa/oCRXeUyAs/ewkki2rmTMfqJCRMC+p+cIk +8nFJ52U24P5bCbuEyZNIktT7cmYjxpveuM0oYxK9CMm+eP4Z7v/tL+xd1ybR +gckOgtREhSUXqv6k5E4imtqVn0dfUOFo20N2Q/4kKvvWFzneTIXPO+y3/yma +RDn2tfTAFiokPHr1Wb10Et1bZnz6yys8D9B/Gc4PcH8r7Ua3vKHC+J9dscdq +JtGDe2KnN2+pEJ6EigqeTKK1cv7XVrdSoSqtktrWiPv5OrrncRue9+Z6V4TN ++Pxu6wyzdiqkeFF9tN9Ooi/kv6bFH/D5cbHvhvZJtGfd5rXzP+H5fT8mO7xz +ElEunXXN7KCChTtnxvXeSTT+IGmdXBcVAhL8Hz0bmEQWV45YxnVTwfT7stxf +g5OIpLxqlriHCufLOurkRidRkgzv++FejJ/4lrL5v0mk7pZX+OsLFf5LnVa8 +lYv/b7Tb4dNHhdKpHRHHRZOo2OintKMf47V3xplsMgcdDkq+suEb3q9+n35R +R+egNYTD/Off8b5hpbL2y3QOGoqRz1nxE/f7pSVDMpODTki47P8Gcb/bCco8 +ZQ56EkHapztMBW/nK8tXzOWgtBqTuuu/qDBrMKdsmyYHmZ1NJc/6TYU4pSq/ +I9ocVJaz2CphlAo7p9lvvaTHQXeeineRx6kw/1bR+XtLOOhL+ayTR//g+xsO +/CZzDjqmExE/+pcK2wIji/qWcZB1l3787gkqULVLr/JtOMj+tOWJrkns789W +tsiv5qCP7/O8N05hfv2LW7F4LQeZRh9c+pxLBQ+VsVG0gYMWLCuRLufjegLe +92/ZzEEv7u58XCbA9TSlzd63jYNOxcTs0RFRIfHHpeRTnhzkv0efnS3G/Tc3 +cErz5aBB6o4ceSmepwMNawoDOahKMGvBORINevvKz1cHc1DEqH+WiEyD0G87 +ZFsOctCrSBf6oWk0GPWa+6k7nIP6137ePUilwZkLrt9+neCgxlG5Bx50GlB3 +7bQQRHOQw7R/U20MGrhnX37NjOMgL614gzUsGozX7SpSTuCgoL4et1o2DUwZ +s18vSOGgh61/QkxkaPAiUtnCOIODimPfRhbK0mBs+PH3FdcwPgknoubK0eBc +5+4eh1wO8jgoOZgykwYJV/equOZzUGaD5zaaAg1Ytga5O4o46Dn1hslxRRpE +FVP3777PQbYNr8RjSjRoDNkYs68Cn08M1u5WpkHRZODAoWrc30r+gc7ZNNjr +XXThWB0HyY0zldar0OBj1oGTp55yUGLh3HsNqjSQ9VCojn3BQX+2WlkuVaPB +fuVx6/jXHNR00r+yeB4NNjK8ZyS2cVDWxSIdDQ0a/DKuXZzyiYPnJTshTZMG +zR67UlJ7MD6rUgYYWjSwUymwTe/jIOVXyPDkAhqY134jMn5w0FaW5r4/C2lw +x+dIQsYvDjq3xzLbT4cGi0b/08oY56A894vQuYgGikwOPX2Sg9KXaXc6L8b4 +Lky3SuVzUMIx5jfQo0HEyaGqZAkHBZ5Y2W9uQINHck5nL06bQj/yXry/Y0iD +ocKZeeeZU6hjfVmV2hJ83542PVZ2Chl+ESWnGNPg9pje8yiFKRRVWrGTakoD +NxXDtxGzp9BBtR7VCDMa1Nr81TmkNoV6I4+9GTGnwVr5t+/2zp9C6/QyDnsv +pUGXrOpLX50p5B1uLttuSYM9EfqKO/SnUNIDz2sOyzA/fLbddzGeQiUWs+c+ +Wk6DyRtT1xwsppCVY2Cy4UoarO7c2bVi+RS6YeXGvWFNA8qR3j3GaAo9cv2+ +SQnRwKyk1Xnh6ikk7pl38xxBg2fRF87MXjuFxuYxfghW0WBprfd09oYp5OFR +OPeAHQ1aJvMHhZum0PcuskP/ahr8SLg/e3TrFFrYoeHn5kCDhfdas3o9plBh +Kj38xRoaXNngHfbGZwqdXVt7YvlaGjwwv59XGzCFNi5dc6TEiQai3zMX3t03 +haovlfhqOmM+tXULM0Px+6kcu7T1GF+m9+K4I1PoyQFtFfpGGiyJ/XPv0PEp +tGib3UCECw2WUwbivE5NIWb0ltwRVxqcnxFXtTZ2Cr2e5evitRnnKzVC5vFT +6JhDCKfVjQaXBUbq6kkYX+uYJDt3Gqj+7XBjpE2hlgX5cx9upcGuvBPfxq9M +ofXzO7N1t9Og5vK+lo7sKWS6U1shawcNZhjwWfV5U8iPc+mErAcNcs8duVlQ +OIXOyS/sOuVJgwvXTdIT7k6h7e/69f554e/Nor6Glk2hIue2UL9dNJjVeTd2 +S+UU+lDAK/7kQ4PXI+zYZY+m0MSkZ5fjbhosyx7pVaufQuRNDNEjPxoYDuak +Shun0It2gYJhAA1OXjl4s795ClUl2ajnBtJAxvGhbOObKRSe0TlPfg/Wr+/j +D7feT6G7vLfyMXtpcESjlRvTMYVuvlgkmNyH+Xne7ujuz7h+ueFPAftpsOOI +32bb/in0rnvOnc4DNChJOn1R8yfms1ndfqdQGkjXDWtJfk2hzvmfF9UepEEw +Z1i5Z3wKHS4+8cnwMA1s89uCqianUFdb3rHcMBokE2Nz0vhT6NtVN3n5cBqk +xCYuOiCZQpRp13LOHMX+xBelO07josPTI9QnIzBeongfLSYXKZVNpvkfp4Gw ++nSiUIaLikZmST6doEGHvonKB3kumlnV7+EYifm98Af1njIX1bK8ymqiaNC5 ++pdLzFwuYnWl8PSiafBcdFG8XZOLDs6Jtsg+jf32ksp0Y20uoj8yCZSNoUG/ +yudjND0uellyNzEqFudzUtOp24iL/vVP3Bk/S4ORMNOT9824aNx2Zs2uc/j9 +ZM+ZZ6y46MFj+pO28zRQNxilb7HmIjmL3irbC9hfThrsWmTLRSaXrxZWJNCA +fC5Aje/ARZXPVl1YmIj5rvVzRcs6LlqR3+ObkUQDPSHnyTUXLspW3m9MT8F+ +n9xXsHcLzk8k/Bd+Cd+b/PmzbAcXzTVLKh5MpcEcRsgNpjcXHcpcvHVbOsaT +dfvBp91c9I3+gdecgfnBGDDMD+Kiv1vTkpddocGqvD0yB/dzkcR3/9ziTBps +cj7nYn0I5y8OzFa9RgMPt1gB8ygXhYnOKyRk0aDyUxH7wwl8NvkUKcymwdsm +4vT1aC5as3/Ll33XafBt5JJX0Fku6o2SMf+ci/H/9uOmyQUuumZGPuWcR4N1 +mmc3CJLw++7L6mtv0iB9sMrnaRqu779Hkwb5NOC5N32Oz+QiplyCRk4BDfy8 +efUuOVx0zrQMyd7G/GrOmD77Jhf19S/ZEnkH42f8s/5zIRep9sntGi2iAZtp +0pt3l4taxrbs8rxLg89X63YHlHHRvTcM9zf3aHCY2r5Zr5KL7i7XX2V9nwap +1tUlozVcdPzf8/klpXgezXxwsOwJ5lNpL1etnAYmGrI3DjVykZt+ROPF/7Ce +vrGWmTdzkeK8rFhRBZ4v9/6s5LzmopLlziuCK2ngm8e4V9mG+2d1abDnIQ0+ +PUmPO/KJixY0h8Svq8bn7t7X5j1clJs1qvm4hgbWebqnJr5yUZnPzPt6j3H8 +jEc55d+5qP9Fr/G1WhrwFbp0Q4Yx3sd3FrGeYL46v9Q0GOOi2wuSZx+rp0He ++tazQ/+4yD446sQQ0OAq13RbPpeLbIVGH7c+xfqiL830FnFRSHjhwheNNHCS +VXdQJfNQ2ulfe5Y+p8G28CW+H2g89P0JqaCgiQYP4+7/TmTzkOu7sY9KzXhe +7vj6w0GOhyZcH4liXtIg+wdtg1SRh2Z9D1KZaKEBcP21q+bwkHQ+ycD3NQ22 +WNoFH5jHQ60FZ83b3tBAeWG/lrYWD/kzpabEO6xX5Zi1PTo81Nx3cFFpKw1O +2wX3pejzUM+zb/Lq7zE/K78O2hvz0BXHHf8uttPA3lVzl8Cch2wl3c3CDzR4 +3BG69v4yHpI/ui9j7yeMX79ivo8NDznaym/r6qBBYN+6UCU7HoodbZvp2EWD +gwt23m9aw0NbaRX1D7tpQGuL8Ypw5iEnpUd+2p/xPvOLcXqxKw+l3votTeul +wa11i5W7t/DQreUulyhfaTB4d7H6hR089Mz715yDfTh+ltPVZd48dOYKXP7a +j/007s25od08lO/Xyd7wjQYvKyaGLwfx0Jij5ZHa7/jeXlK/ej8PWT8b+Kj3 +kwaelkbsfwd5iOvWZ3B1kAa6vs+ar4fzUN9Ri+OMYRr4HyOLnE7wUMmdwboj +v7Afy+jkT53ioUU+Iu63ETzPYw815MXy0AWVY7qbRmngqLvIzTke4++4eyOM +0eC3SqzHVCIP1ftBsNEf3B/3l925qTyU0JcRnf0X7yvVS985XuGhOUuGL7An +8L7Amb78bxYPaTTUJ0RM0iDyxvm5V2/wkBpdI+YnB88znd+HiQIeerlP5qAb +F++n7UfsBot4aNQrcctTHv7+rd+FxPs8tMPptrGxgAbVc3mOZhU8FH7Fm3Jd +SINT2QdOdVbxUPL9xy3TxZiPMxhGkbU8xJyC+GMS7HcypC3zG3hoRnsYGpTi +eT4jc/LZcx5SLfo84kamw/AeWdmgFh6q6BYnPaXQwc71+nX2Ox7yaO7VNabS +Yaz9fNG9dh5Cbadrcmh0uPeVbbShk4dSNo8T0xl0eIl8DcY/81DSXf36CCYd +irJf5yf385DQbKX5TxYdfCLPXVnyk4fKHHRubJ5OhxcOrdR3v3ioYMU4pUGG +DjNWfP+9f5yHzu7J9jCaQYe/x0kuMpM85KVtVpIlR4fNdF+jYh4PbWysnmTK +08H2kf35NWIeupFhahauQAelTUOe38l8pDBaEPRNkQ7b98SVRtP5KFdlTobL +LDpURHhEqk3nI709SdV1ynSw6ix8USXHR4m6M9r15tAh70le0iYlPhq/mf39 +igodZGzj3/+ew0fxWmiUOpcO6VuvpsXN46PGccHvg2p0oLyXfa+hxUdFrh+/ +fZlHBxSglVStw0fLktrb1mnQQbtQodlFn48qhwUPqzXpMDFNNXpoCR9JC13S +tLXocLnt8MNT5nzEZXQHpC6gw2li5z7lZXx0wznbRLqQDn98pufes+ajfxXZ +E/t06JCjU+9qa8tHBif67nUuokOHd3lMhwMfvfwS7Gm/mA7VT9QsgtfxkbvK +Gtp/enQYaF8RQHLho1l+YfnqBnQA+bWz0934yJXLX55gSIfyl1GOi7bj91i9 +zVwjOhwxnC2o8eQjlVatDX7GdEh1cTZw9uUjuVOtLa0mdDijs+1rbwAfjTiO +2Fib4XzOhCmG7OOjmd4RxUXmdBCr9DRLQ/hI5+9JWeWldHCMeS5NDuMjNSNJ +4BlLOshZ7K/WOIbj25EfjVnR4VTc9In7kXz0bWfCtJ3L6dBQ3lVqfYaPtt/K +W/1iBR3yW2eOv4rjoyzbtZFm1hifr8Nl2xP4KNPnXEmuDR2yH+Vwfibz0Rcd +n4/TCVzffP+6w+l8xKvqmTy6ig4/HkQwSVcxPlai6d9tcTzOzI6EHD7qffVC +1WU1HcLWBiyefZOPPqTaza+1x/VwyqR5hXxUUhKmobsG5zt/8Q6Du3xEW7Fr +VrojHS500Jc9LOWjy9umTyM50UE47Uw2esBHJ7RODO1bR4eDR97HNlfz0dmK +B887nOnQ1rPkn0sdH1lp112z24DxfdX2vbMB45FyNbB0Ix1UH4177Grio0XT +NxrMdaWDphR2DLZg/t0dGIrbRIfaTye/7H/HRxrntuf820yHd147hiba+Wiw +tHqt1xY6hF5JiTjWyUdzrGhjL93pkOLnniz5zEcrjFdfsNiG+Zs4YBDTz0eT +t4+r522ng/3jfa6Mn3zkXFJSLLOTDokndMUXfmF+OQ8YRXjQYT7aaDxjnI/e +ps67+82TDq+3K4+kTPCRTLyfxkZvOmhRHhgq8jDfrWoTHu2iw9PNXrx0ER+V +Fy3+o+1LB53169YpkwXo4UC586XddPBvLdO5QhMg0vD2PJEfHai3nl2YzRag +eNAZCwzA+g+pPXplhgCdCJ5n1h5IB5dnb0aVFQVo25htqM0e7AcKRqMZswVo +p0N2QdFeOoyXKoQrqQkQOcyoXSkY97+j7HyqpgDNPCLhndpPh913rLVnaguQ +i4P87JEDdBhcMLYucbEAaXzbZ+geSgcnM66IZSRAE/aKKxsO0iEgL9EqzlSA +egJl7AwO43jqPyVkSwEKIzxsr4TRwX2VhUvkCgF61MRYTgmng0VMqQEPCRB/ +XFFv/1HcP9v49EOrBcim7KxCZwQdNjZOnfvtKEA/BD4TtscxXksMGAHrBehq +Q8nrkhNY72meCl9dBUg8uf/6nEg6HPv2pGiruwB5xd4OiomiQyQ35s27HQK0 +wctbf+wUHSwT+yLXeAvQ7ZBrP7edpsOqNczHT3YLkHG+57XGM1gvpUZnLYLw +ez9LHIxi6WBodu7z3WABmjM/ZSTzLB2StO0b5h8UIMUVrPhp57BfNmSZXTki +QEZq6hoHztPh3MInZjLHBcihuL2kM54OW7Z8bYiOEqAVLUYWdgl0uGpt+mXy +jAAleptXllykg1vp8Pmgc7h+52HDOUl0CPGxetqTIEC3Dm/KPZNMh6E/Lhc2 +pAhQaUUYazQF67Xfvx/SBWjTb7fgral0MM0pemF6VYDshNwXDWl0YIRtsM7P +EaBVdb5qBhl0eJsVZzvrpgA9kb225/JlOkhMYzvOFgrQ5hc3S0mZdFCwPibi +FAuQeePpsb1X6VB560q5fynud9cKnY/XcL+t5LkfKgRI0PfRHWXTwePB7Dd2 +1QI0VOoWXZRDB5vKz2b/1eL4qnU3FXPpUACX9DUbBIjCUXwSeYMOQauDHiQ+ +F6Bgea/3g3l06Em79FbwUoCWrbrx1fUWHX4O2xwPfCtAh92+/nicj/12T15V ++3sBOqKq+UO7kA5Nar/iUIcAqfoE9ibfpoPZxNqh4h4B0uLUvOXfoYP5i789 +s/oEKOWmWs3uYjxvtyr4Rn/H/DNLz35zF9fj/Pn4ryEBunFI+5hlCR3oFtE6 +bqMCNHfRxw159+lw4ryRf91fARqYc2fe9DI6FBfMttSZwv2ecetHWDkdjr/f +l50kEKDyVy2FX/7D/mOzM2NKgvWivNDH8QEdbpKUtbymCVF7aYXSf5V0uKb8 +2vY5Q4h+7YhqmFtFh77AEq6+jBCt6DwfeLYa+2njMJE6U4gCBjvo4zV0eNRX +ps5TEiKeQ2jutsd0uONleslTRYg2P3A3eVqL/aopJ/PpPCGy/p1cq/+EDorn +tSwWaQlRa5Hmqox6XL9oPCBBR4h23ZatlwAd6vwtjMb1hGj59Z1Lg57SQW1s +fsKmJUKU4CB3u60R8+3O98hKMyHy22oov+I51m/KPfocKyG6GvcoLL+JDlUJ +d7SPrxSi4/GP22Sb6XA2kNHTQwhRnaKF7tGXdPjVxdWxthcinU79iL4WOohi +7rCurxWi6vP5DWtfY76NromRrMf3n25RK97Qofc8Nd1rkxCNhxitUntHB/Z/ +MiufuAuRLG3t0bOtdJhXknRi3k4hEtnyCsfa6NB+u3rTSW8hsvpEtG5tx/qs +qW7o3i1EjnsXTcAHOjz/VttsFSREHUVlcnqf6LBIfiLwcrAQrbPp107rwHxV +is+dCBWirnd1FqJOvO+U3AtxOSJEBH0d8u+mw+GYhM57x4To8blE27c9dNim +s7mbGSVEsfx4ZNlLh7WKJkf8zgiRMcl+6Y0vdBgp2VRUHydEozaNOqw+vJ85 +/AhXTRAi8VaW/KF+PD9mKX8JSxaizN9zOd0DeJ9BCl/fpgmRUY70vd13OkS0 +0Y/rZgoRh1lTfO8Hng9PNUtPZwvR1Bvnk7MGsb9NXYzqviFEz+Lr10QNYf+x +jBgyLRCig52zZAeH6bAEyY1eKBIiiy1urzeO0KH/XtTFgRIhMr926mz1bzyv +ZCealv0nRH+JbKv5Y3RI68jMTnkoRIf77/+IH8fv78uWHXwkRJMKtRf//cHz +UllP1boe83Nfs+HOf3RYPePA09RGITpzurO5cYIOnLB0+tALIaIO/fE04OB5 +4f7y58rXQpRlqjyaPoX9sNhq96VWIRqacA4Xc/H82DTj5I8PuJ91V/n+fLxf +zQs3WdYlRN7q5KNvBXjeNWbFXOwVotO3z40tFWF8hooPfe0Xors/TXblivF+ +qfpOYvJTiNbsob5mSOlAfDDTjf0lRIq100xDSQygnKSOfxwTopC95qmdZAZU ++AZvXjQhRIOSa7+JaQy40Hh5SwRXiCjTVq4qojJAv/k+p1koRKnSuSnydAY0 +xnw1UyGJkMVJ1HWMwYA7k5tn7qGKUKy0WG2AyYDfdMuEaqYInZTbvcOJzYD2 +lIp8hqwI/TAOTv1vOgOi3SY93OVFKGiw5ZmqLAMMyQsf5M8SIbeHMX/PzGCA +rfH+4n8qIhSikTVnRI4B6/DsINRFqO3WrOWb5RnwU3UqLFFLhI41crc8VmDA ++tsX1nbriNArsX3wAiUGBG8dqNPRF6E/rdTIhFkM8PVZ9P7QEhGSfWR1fkKZ +AXOHY+KemInQe4ufiTvnMGBYNL+HZSVCF+vlkxpVcLxM/Va3lSLU0FZ/Xn8u +zu9Wi38uIUJ/f0xGpqkxYOKvbvbwahFiHqncL5zHgP32oYfN1opQ4RRt224N +Buxxahk5uV6ELvT/WvlKkwH1WbtoTa4i9O1ukJqZFgM86j0wB0QoviVm6toC +/L3ukNrWHbiecuIVRZsBbZYGc3O9RGjlh1vX9uowIHPZpsc/ffH7+eV+7xcx +YEZQjNgwUIT+pR9YvHwxA+jDQ/1h+0TohtLXoTw9nG/b3aDHISL0Jo1xi2WA +39fkXCKHiZDa6d9bDxoy4N2zUc81ESKk7pTK6DJiwOqrT15fPClCNA9xOWHM +gDz/lC9t0SL0QMt06x0TBhz7kpCmfFaEtFkWXDkznO/trpEd8Tj+MXbqUXMG +nNl4c/B6ogj97n246KsFA3a4zTg3cEmExnJsqh0sMb80HFq0L4uQ8/xCu/tW +mH/TD5UHXRMh3tu/L2ctx/nvfLTy7nURuiajsy5yBc7Xdk3w6E0RmoHWvPi+ +kgFF3whiyW2Mb8t2G2cbBlxa96469K4IBSr4llUgBsgdVf1UXipC9yL85s1d +xQCljU6Z/ypE6JOX/9kztgyouxcnNa0Wodvae4aG7RiwZgt3+uFaEWo1CHNw +tcd8FDbW/QciJH1/IbfagQF3VynN+vdMhMLDyyc0HBmgUCWnYPJShJzCftue +W4v719X7IOSNCIEukTjmxIBdioXikjYR0hgve7/FmQFj9cm/Rz6KkIuWnWLd +egZ06zw9vbhbhL7OFW5YuJEBVyP96gK+iFC+ee/ZBBcG/Deck3trQIT6no1W +/XPF+Edm6Pb9xPcLTH5s34zxWX5om9oI5sPtu7INbgy4L7dzybZxEdpe4GOi +684Ag8/hJWkTIpR9aKtL8lYGoODf799ycX2+l/ZObWNAzvGBXJZIhEaaFaM9 +dzBg23+nlFaTxGg7dyDl2U4GSIp/GUdRxWgDmpaj78mAxb/XcqqYYmT6NyI/ +1YsBBSONPn9lxIjj4Xib782ALzNOhevJi5Fn25GCXT4MiLmTZ7Z7Fo6XTct9 +4Yv9QuR6NUtFjPymi9KM/BjQuvzh7fZ5YtS61zM2w58BWbGTXtO1xEiPbhQq +CmAAc9i03lZHjBboHtq6O4gBBwOvNB/TEyOBqtHylj0MGPi95kSZkRiVLgqY +Y7IP82PL3o6fpmJ05LL6vyvBDPh1YGGvmqUYmZTufCHZj/1jIuviphVidLh6 +fqZ/CAPCE6d+nENipM8L83sdyoCHn7YP19qJkW/FdgOzQwwo2T5y+e8aMbpj +9GH86mEG6Ca1jmk74/glQ/dJRxjwscfo73YXMXI7lLUnMJwBaVn61xPdxOhq +/R+Nt0cZ0KX4mwPbxGjJp99t5scYsOxEBm/CQ4y8ptJOZR1nwA+ec6GOjxhN +3/VLl3KSAYduWkq3+YtRt+vkm6BIXH/U8WkJe8SoifXwwLsoBhRHL6+o3S9G +U8/Mpi+NZsCJlOwZYwfFSAkO3so+jc9nns/SCBejuqVhltNiMF/mdjdvPC5G ++bvRiz2xDPCXly6KjhKjZac7NrWeZcAD5nazsjNiVNxMdC89xwBhhszI1zgx +Cj50yjPnPNY3stkolyBGmQ+vfJ52gQF/jinsskkWo1mvE7fuTWBAfHHJvP1p +uD/D/m9bL2I+6Jifz7qC+WG3cJVlEgMyzFtyX2aJkbHcm9KcZHxmp/txc3G9 +p/1UqZewX7+p/LQwX4zaX41F703F/Li8ecr1jhg5aYV+a01jALH3UmPUPTFi +P/y9yjID83tVms3dMjFiVgdl51zGepoWGdjxQIw2bRv6Ny2TARoXDtlMqxGj +kqYQ+71XGWCSc6XRqA7XZzItvfUaAyY5ctztDZhfLwq/LM1mwGUk7Yx9LkY3 +Hnhp5+RgP1KK31P6EvNTZ0nQtFwGjJLa7nS9ESN7R7Xbe24w4N8pweVp78VI +2V5v4F0eA2qluuaGn8Ro7xpPlaW3MN96T0W7d4tRQUSNc3Y+/j9I6+SpL2IU +QLY7SSlkQHm/2aI7A2KkwpbcDrrNgE1HO063/hSj7zVj797eYcDzdcYXeb/E +yNlSZdK8GON7yMdBc1yM9t85rZR1lwGVY4llaybEaIupgQm5hAHKlZ0tB7hi +FMlXcwq8z4DTd/0yMoRiFDh/m/ebUgaYFrnNrJXiet70h5qVY/2Gv1oxME2C +cjWeRF39jwF7X4/MZjIl6Oiyv+elFQw47t6ZbygjQaorTyX7V2J9llUMbJop +QZFrglNfPWSAIPBG21ElCfp7vPaSSTUDOoRwMHuOBB3jHE68UsOAK58tG0FN +goY+XD4rfoTn1b5FTd81Jeja0sXHd9cywFpUfpypLUGipUv2vaxjwMt2fp/+ +Ygmy/ndv25J6BljozudvMJSgAzGFthnAgKD5To0HTSRonKq5WNjAgNKuyyjd +QoJ6UubJ+DTi+jwWH3i4TIKUiFsjTc+wfxYs2NhpLUEz9StfGDTh+Z1/e4C/ +SoIO7dl6I/UFA5xWdOjOdZCgUwpJR3jNDJha/mH+SicJ8lzpucarhQGvAuGN +xwYJKhI1z3r2igGPIuoMIjdJUFbQx77Fbxigozxqk+MuQU7pcXeS3+L50hVK +rdshQWvS+oI573D+G/dGfvaSoIcRg4Y72zA/OYIioa8ElbrnjsB7jJf16guq +gRL0ykamUOcDA7TiA9WX7ZOgD6tMPS9+xH5hEBewNUSCHEJnyf/7xIDNIQ2+ +Rw5jfLtqGrZ2MuB6/HLFtKP4/YsLQuq6GDB4WyGi7IQEKV5xV1nQg/3z595L +b07hehhb4fxnBvRt8fP+FSNB74Z1/cZ68X7G0xign5egMadWqttX7M+NT1QW +XJQgjaWuN2v6GMDJ9qGjFBz/YelKjQEGRHgtvrMjXYIufRxvj/3GgNcflkqP +ZEpQY86soF/fGVD1pHj6pWwJKpytzd/4kwHarwve3L0hQf7rtM5VDjJA5aaj +fVM+7hchrzB3GM/PTxWH+u5I0C8J52r0Lwa8+MdwF9yToNcJH9R/jjDA4aD/ +uGK5BGmOlt1YN4rxf/rbxrBSghbqJmuUjzFAc82T1Q41EqSw6nCW8h8GuGwS +kLzrJChlhY/Syb8M6NVvOHy0QYI4qp4X+v8xwEfWLCf5uQSl9e8VO0wy4NmC +0MjbLyXI8lLS/nscBpCSMpXq3+Dv9V53y3MZ4On92vdTmwQlly6yP8pjQEu2 +ftDoRwn6rF5w7zMf73/o00JqtwTxjjrK2wrx/mr6O1P1iwS9r5l1+LYI++eW +xGfGAxLkODDzvYyEAYrHu247/MT4jFkbHZIyYL7/H1uPX/j/nhvnOkhMePb2 +b8bBMQnSLbT+spLCBImv+EbcPwn64jjH9OY0JhyuN/XLmpKg50/MYxg0Jpgd +Lf9aKpCgE5QrbcF0JvDlrio+k2B9ytrNe89gwksSi9RJkaLqzpUBliz8f5Vm +wQhdioY9zt/LZjOhKlVKkbKlqOLS4j9kGSYY/XimoiAnRUsPLDQJlGWCylTy +8EJFKdo8fDLk9QwmPJScOmQ5W4paeUvvmsxkgoLhgwdr50qRUar798vyTAjL +W1e2U0OKREVfVUUKTNhy0N9//wIpqjX/tMFHiQl2+ZofohZJ0Rdtm+imWUzY +vjRblKwvRQtD55bqz2ZCxWzulxtLpMiVfqgnZQ4TTuu7nCg3kyJStz1tSoUJ +Zxyb2hospcj98zWDnXOZsGpZxEDbCin6IA5zBTUm5NXFlvQjKXpk1HlYW50J +G86xzf7aSZGbV3PaBQ0meK/UPUxylKLVJ9aWj2sywThCtF/OWYoYYd6v3bSY +EN1csEDdBde/dMaPmgVMEN23TTdwk6Lc+9uF6tpMoN76W798mxTNbbGXi9Vh +Qq9sW6GjhxR5hn3SHF7EhDUbpI7uu6ToVqac8YbFTFj28Frhbj8pujufs7JC +jwmtFxvqQ4OkqIl/Yc0cA4yfTGp6ZLAUBbM/bow0ZMKgr572hVApilzZsWXA +iAmrH9w5eDlMim5GZGxfY8yEttn6x29GSFFBoeLOeya4vsx3NvdPStHlki07 +5M2YYLj0QX1NtBRFhHlvDTdnQtCPKdGzWJxfv/mmHgsm+CVVTr07L0WNXV1O +hCUTfsjMKOm+iOPbblpVYMWEv2bqmj9SpOgq6aYFezkTEl5McxlPl6JY7utF +ISuY4Hrm80p+phTFsztmf1jJBFPFpp+UHCmqVHtGW2bDBLV5X9bL5EmRyszM +vzmICecsbQ/NKpCiXU3uPZRVTFgyJuemXoTjaVIbA22ZsOep34ROCe6n9Nad +13ZM+LfYy2VJOeaj7fKLJvZM6ExU2WdZKUVTL1v2X3bA+ax/YIdqpMgqbPt6 +4RomZNSu63aok6KnGr/0dq1lwjctsdGGBsyf4mj6cycm6NT9WLXlOe7XX82+ +xc5MqK3TUvR4KUUybW+rktYz4YNT203fN1JkrZOUOLGBCddOzfgb1CZFJq99 +fba5MGEgmCs+8FGKVl53MatzZcKV2UUvw7qkqD185zStzUyIP0a4He/Felhy +ri3ODZ/PdOec6pci2q2OnJEtTGAppxfG/pCi5UUuQS5bmTAkc+FA/LAU/VWd +Mq7cxoQbFl2cxFEp+vTuFVdlBxMCN19fmfpXinJyP9ZG7WTCLvUp28scKRrd +NTv6mwcTPO3EzGt8KaL/Sl/l6MWEr/6tSTliKRqYuYlc4o3xnuGwt5VEIp4U +b6qX92HifV5ntI1CInQvXjsR7suE7OrZLu1UEpEfb7i0ZzcTFlF10z7QSQSE +y40jf8ynNP+HH5kkokxndWF+ABPEl7/UfGKTCErwu52sICZMX5GX0yFDIuap +VMod2MOE9oLHPp0zSES8lNfwfi8Tergr6F0zScSmP9cPWQYzYdt644QuBRJh +W1s8P3s/E2xrC/90KZGIUDPNd6QQJp5HJUu7lUnEbu1pJ/xDmdCkvcmzew6O +77NVu+UgEzimt/y6VUlEVKXmW6PDTBiOuu/crUYi9v3xPZIWxoQp6plZ3eok +4sDX+XN5RzC+tfr1XZokomejT73HUSaoZ9as7dIiEVoztH0bIpjw5cyyys6F +JGLlz9BpOseZoOtfQ+7UIRG0fMdbF04woUBzzZIOXRJxUqFs1fhJJjSk/rH+ +pEciDETFXzZHYb2kNhp+NCARyvrWx6tPMSF58o2k3YhE6O/ZqzTvNBMUz84r +f29MIlxPLS05fYYJAhlY3WZKIjSWFqz+GYP9ZGNjzTtzEiHZ8qjb6Sz2PxmL +mW+X4noKj4WUxjEhS6jl+NqKROSN/aQoncf8bLvm07KcRCzh0DIi4plQaFPs +0bySRCRGd2v3XmCCxm+vZU02JGKLe1DlqotMCDnVxG0kSETRigq7wkQmjGSO +XWmwJRE5nCet7GQmjLd/V6lfTSLWOSZ7hKQwIbXpYWStA4kI4y4abL/EBA/K +ocYaRxJR2XQx1CqNCe6KC0ceOpGIxxENvOx07LenuycrnEmEbOvLU+TLTNj4 +9mZf2QYS4ZlURAu4gr+PuHC/xIVEnDjid6Elkwmj3OtexZtIBHKQyC65xoT7 +MPqn0I1EyDUcT0nLYsKjVbH+t9zxfWGvPC8b8/l7SG3uNhLhXKmX6nGdCSD3 +hJO1g0RsK/GXb8jF83H+SflMDxIx6ZyarJ3HhAVHq+TSvUjE1U0PZC7cxH4S +EPkneReJmDrx7vzYLSaoruqpSPDF/I8bnLa5gAlxbl+2n/PD/TEiRVUVMqF5 +KG3gTACJqDWex517hwnrV7E2RAWRiBVrbUOiizA/ctZlH9tLIo6bHf75vRjz +3SLoTVgwrq+4wmPtPZwPEdwfcoBEtAcx3peUMMFqzK9zbyiJOKZ7yEGhlAkW +e73/8z9EIoJvcWvCy5hwticoZFcYiWhMzTLoKWfCdb8kuZ3hJMK01Oc6qmCC +7ILe1C0RJMKjfL1c/gPM1yW+/I3HSYSC6+5TzIdMmJerZ+d0kkRk2BeOBVcx +gRdtF7o6ikQ4Oqh6tlVjPXytibaJJhG3WY0tFo9wf59eC7M6QyLe2OdbXnvM +hCN6E+tMY0lEQFnDLUktxm9WK90gjkRwJepyu58wofq4TYH2eazXn/XHXtTj ++b9x3SKNC1jfqne+6TcwgXFmWuKciyRC26XHOeUpE+ZLDn+STyIRp5d7Vk42 +MiGxqGja9BQSUXPRZN7250zo8C9XoqZiffJ3xtY1MeH2zEyWOI1ELDTr+zW/ +Ge8bZ/YOcDIw30caXOJeYn9Nssgdu0IiVn+gPvzVgvcXGp0YvEoibK7fU934 +Gvvlf0PPvmaRiLmC2qiKNzjfnb8MO3NIxOcrywZmv2NCeOPsE625JCJrkY79 +yVYmHL8dea85j0TEbYu73dfGhGkNuk/hFolI7vJk2bdjvT3Trq0uIBEq28v2 +Fn1ggvbu09fKbpOIc2dPv5L9hOelo6PnnSISESjzUf9QBxPuzT1HvXGXRAxe +u5/wqRP3M9op5UoJiVjwRX5keTcTimflkpJLSUTsGYpTbg/ed45c2hJXTiLY +5rF3pvUyYa+FUXJkBYmwvn6NHvSFCdLB0yVhlSSiPHit3+uveH9QvVq2r4pE +zHJKbzDuZwJzS3Smbw2JKOmLUs8YwPfzVvtvf0wivnTLnOB/w/2b+KPsUkci +DAdWdXj+YELdprQSh3r8fe58s6c/cT4VloutG0jEqdrSJJ0hzPf4X/FmjSRC +0Dc+fGGYCbTV1e8WP8f+Uvlj9fgvzNf1JQKNFySioC89d/NvzGeZT2zllyRi +mE0WVI0yIeWbDUnmFYl41W3opjbOBKHxZDf5DYlImlK/H/0HnzdQsrhvScQ9 +aifjx1+Md9oRYrSVRFwv9vBZO4Hn+YYdrwbek4iuxLJHJZNMuPCudkXnBxKh +urlDUWGKCUleRZfefCIRDrkfgsO5THhKGLx52kkivJXvPe/mYT49dB2r6sb+ +6+GjjgSYH2Jtzr3PJGK2Ei/8lpAJn9ZX9ud9IRHr+w+/Y4ixH/ZMf3C5D8cL +6FwULGHCnA6L4IQBEpFmvzi6VcqEV8GIHf2dRPzW3NtpTmZB2jPzpLCfJOLr +1evGVyksWE3R4gUNYT64tpwXT2NBr72io+cvnP/Qnz4fGgs07ypFuf4mERYk +5WVNdBZErjW9Zj9GIi5YWl/SY7JA2yIie9kfEnHXaO9wEosFfpH/Yg3/kYix +2BurJtgsOGlYsnn+JImY3vXt6lYZFmSuf8CcNUUiRl5a/nssy4JnfYr5TB6J +yOXkOmnKsaDoZ4e2iE8iyAKNW7EzWRC8QyZpXEgiDoU9Fg7Js4BpXvd5QIz1 +TQl3W6/Igu6AKflPUhKxl9hcUq7EghUDjYYvyWSiv8WdrqzMgoFLJsa108gE +zSbW+/hsFpzwXKdSSiMTZyy+Vn+Zw4IbuvOG8xhkIs95n4KdKgs+v/8vN51F +JtapGwTfnssCH6s51uemk4lge+2m6fNY0Gy8veGYLJlY7LFDM1SdBU3Jpw2C +5cjEZtHb4x80WDBdJyfKS55MvKyP+2g1H/9fX1XlokgmCtFZ4xwtFixa2Nth +O4tMVCi9TSAvZEHtHJWv5rPJxLMOv0F/bRb89Tz6RkeFTPzVXG/XosMCetm0 +W3Pmkgm58xdyjXRZ8O/FS2/2PDJxIV9TlLqYBeIdH6eJ1HG9sorbuXosWK5q +mjyqSSbqdvg/3GnAgo//jZC/apGJk/PnKoEhxvOtrEfrQlwvz/LQwiUs+KGQ +n9OgQybeH6lvPW/MAmOtR03/6ZKJVKPKJaMmLDC4trPjlh6ZGK9SS3Y1Y0HW +rPR36QZkQlrIH6s0Z8EfvZDSs0ZkYl7Kxo2qS3F+wbzwcGMysZOhVRZlyQL+ +3hU6gaZkoutGmPw3Kxa4lNnVbTUnE0PjTofXLGfB7mdqKx2X4nzO3fl4dwXm +j/77m1ZWGF9hitVMaxYE+of81V1OJr59ZmSH2bBAdVy6SGUlmRA+mUnqQixo +JZIdWDZkwsGs1M96FQs0WnXX8xGZSHn182WeLQv2zuhcMbyKTEzMebyEvpoF +oqA7Cl12ZGLVvSWX99rj+E4Fbc32ZMJV2VH81oEFSKU7onoNmXAfZPibObKg +xXIT885aMoFKD725spYFVjSV6CvryMQNccJSkRMLMnqX9cWtJxMKvltv7HJm +wfo5oBu+kUyE7etkP1+P9caq2u7vSiYC7yiEL97IgjyK3mG3zWQi8TZrINEF +x3NZeMRuC5kYnIIN/1xZcHVFubfpVjKhvHBlrftm3I/pn03nbycTv2qj9B67 +sYBDKhuT20kmdm24eFXDnQVTO63SJB5kwsc/iBW7lQVC92jNUS/MxyTl40Pb +8P96aZd7dpGJ5i3XRpx3sKCQdZLz0pdMnF/D9SzfyYJ0bQfraj8yYTFu3DbL +kwWn7or2FwaQCZdOJ/vjXrifz4rPpQeRiZ5Ex0dfvFmQfWXnhTN7yUT4NUNj +Ox8WXHJQDQ8Nxv09Ly687cuC03/+OnkdIBMq3x6ry/jh+spHmc6hZGKGWfCV +UH8WPLgxp2zZITKhS1GQ/xjAglftkcSiMKzP7rKEZUEsqN+p+0gpHOvTzplx +fQ8L+u0XzKNE4O9fDMZQ9rGAmnNsz/gxMlE6GkcODGbB28CluZ9P4PeQYfSr +/bgfRX5PXkaSCWu7L9IlIZjvvnIvHp4iExmnc6LTQzH/klfV3DpNJq6ePkDh +H2SB/GJ6RkoMmTBtcTvreZgF3tpBOyLPkglR/2bW0zAW7Dx6iLX3HJlI3xiS +pBOO+ylrfNM9nkwoXS1WSjiK8Wi/u9AuAf+/mpU9HsECy//+pCxJxHr+lLTQ +7TgLKEmswbnJZELy0eZ+9QnsF47kRcxLZGKkSW3ZvEgW3IEBl8lUrB8jg+en +o1gw3Frt15dOJo6nhG76eYoFX12SfF9fJhOTB0f7nE6zoEPpgFN1JpnY714Y +WnqGBdZjvmr518hES8N1slIsC7YVH+1MziYTuy270yLOsuC6YlXUietkYs1y +j0W9cSxg/dWXC7xBJuzX69auOs+CMXp//KabZEJzYtWmwnjsh7P6x6zzyYT2 +/XvD7AQWzO9earO4EPOfFHwm5CL2I7nRo0p3yMTRfTFqHxIx/ntnZEuLyMTy +g1NVVsmYnzcKin/dxf6W2uyWk8ICrk/drY8lZGKhq/gfORX3c8euc1BKJkwM +M1MD0ljw2uLqlrvlZGLH7WyzV+nYfzMPzbhcQSYa0IxPSy7jfutyy6MrycSd +8D/H0q+wIDbGhNhXRSZyXjlo8DNZ8G2NQc2WGjIh80SpyfMaC57K/VMjHuN4 +bzwPPM1iweWDifv06rAeI7TnLMrB/k1iFSjVk4npNiGNCddZkLM+5KUEsL9n +24T+ycV++aOlc+gpmdBRuKK+JY8Fzpt12t8/w/HnnXxbc5MFSWoXq2ubyETR +8r+n1POxnzfR4wubycS7Ib5pTAELDrbeWJ3Sgv0n/+rgYCGed9V+I8deYz78 +as9xvsOCLr5H5O63ZGKv1b0t5UUsMJueLnBuJRNclo6c8l0WyPgo7V76nkxc +7lndcvweC0jBQw81PpCJ1Ytlzn0tYcHiLNUp5icywTlwyn51Kb7fXqn5rwP7 +pe5NWlEZ5p9s49KeLjLBaD36QvY/FnjM22D1rAfPh/5pCYcqWDD+a5d2SS+Z +CO1c69LxgAXxH2iSjK9kwtho/eyVD1kQtnTN06h+MlHjKd93o4oFS/YsORT4 +jUyo9l8tptVgf37aLOvyg0xYmf4K3/uIBSnp8zKsBnE/Wmj27x6zQLLEijl/ +GOt94R8l8zoWNPZpBbJGyER81b2fmU9YcPvPYPnf32SCKbF5JK5nwf3CS0Nd +Y2QiIrQ42beBBRsd9KY//UMmvM79C3jxlAVHZ9aqFP/Dfv9IlTB4ht+3dVVK +ncT+HaMz99JzFhyfPSk4NkUm/Lap8DhNLNjz4v4bHx7WV/nUpx3NLHgXl3Bx +rQD7KeNpVf1LFoyeS7c0EeH630VdW/gK7x/89rdzJGTi+WnjU/GvcT+ZbptI +JArxPL3bf+wN1s9n9aeDZAphfyp6w+Z3eP/IsVF/N41CnK3SXlbdiuft/rqA +hzQKkVrxRnveexb8Di7IymFQCJfhE0pn2lmw/RGpLpZFIe69NaMNfmBBTUhX +y77pFILfyeOu+4T1kb/s+SZZCnEi8u3vsg7czxD9e8vkKMRRk+pvs7pY8PNr +9SlNeQpRsqfm8/FuFqTSfyOGIoV4e+1jx9ceFuwbf/t7VIlC6C+b+XF1L+5X +/r64D8oUYnVN8IeiL3h+67+WeTyHQrCTxz7O6GPB7POCU3mqFMLG6GrX4X4W +6NeS+s6pUYhydujXzgEWhD8fMjigTiFeXQkftP6O94PrtQFumhQi3bHs780f +LEheFZe4XItChKRoShiD2K9vbszTXEjBftkis3+IBVGVWjfpOhSCV/rfvPfD +uN97WCm/F+H6g3uMLUfwvnJPdt/7xRQi64KjQ/ZvzI89y8yq9SnEwxNiT/IY +nj/nLg/lGFKIqnLx0YBxFsCIUULMEgpx6bpz+qs/LPCKkJm7x4RCXK8Y/c/4 +H55PMssyN5hRCDPf7+0ZEyxYEPeEYm5BIZbONecKJlkw90nhDhVLCtG3sU9t +1xQL1C8KcyVWFKI99Pfq51wW7HrW9P7bcgrhNbYzRI+P/XGZwkTzSgqBlplm +JwtYoFczSLpvQyH2Nxx6NSnEfjXTVZRKYHymNMXbxSwwZG/7cdSWQmxfS5jU +S/B7wfRaj9UU4r7uh8CFJDaUC/yjVzlQCFNq3414MhsOHo021XGkENPXBX4e +o7DhQZ73e7YThYgK3q/qRmVDloXsrvF1FGJXB2dHDY0N0b9Te9rXUwhnwbTr +6gw2JEcKVldvpBAKq7O+xTDZYJKzPjvblUJ816rXH2axIU+U0R+9mUIMUQ+H +b5jOBud1vUr+WyiE67ZHjRUybHC1MFy6diuF+HchU1FlBhuC/ZLtDbdTiL1s ++YAoOZzPKVk7+Z0UQmv1osffZrKhSb/ciONBIUoLviisVcD5sGOZXV74Pnv5 +/vuKbOA8Sm6t3UUh3NNtWhRnsWGoqzfuhi+FOCAcXXxMGddPjtCP9aMQv6yd +L36ZzYbMl4FPAgMoxNZmj792KmxY0PQQrQuiEJP0BduLVNlw6MKBUqO9FEI9 +4GbjDDX8fkGmrEIwhXjj+sU4bB4b9AtsdnD2U4hCi+4bXeps+KS4N6MzBPMn +8qoi0mRD1bGF9Y8PUgifDI34/PlsaN95tOP6YQrxYTCEzF7Ahv+sg7+cPkIh +bvclngxZyIbXuTIf/I5SiKe/Tgo+aLOhX+pTveYYhWAdJE4sX8QG+a4jCXon +KMT8Lz2SXF02vMp3XS8bSSHGszedpemxwa9LIh6PwnydfWfGPn027PsVl/M+ +GvO9+uu1VgM23Fs7oV95hkLY/hItXmqEz/7ri67EYj9RnlabtYQN1LvXZx2P +oxA3CjkuZBPMj5g/oR7nMT+pnUMBpmyodHd+bHOBQry8VhLz2owN5+IfT2pe +xO+1HZtvasGGLVFr5k1LohAtCsTTK0vZkJHBN/+RTCE8XkwLEFuyocCgZ8WL +S5g/25pldi9jw87rHJOiNAqx1ujSw+blbGi22zQ7IYNCOP7ns9toJY53WDAS +fIVC1DpbK6Zb43yiuaUbrlIIxYBFTXwbNlyr3bTbOAvzM2DBSW+CDZSjs+gK +ORRi1kNzi+ercD0ix8yJ6xRCtc7rr54dG75mTKl8vIH5+i2/LGU1GzwuLkp4 +eJNCqKSwD0/ZY74s/DFyJZ9CpOinWXmsYYPvTauVxwqxf6jZkp86ssHYXv/k +jjtYH69U3yxyYkPjuqa7K4opxNXrmtmJ69jA/KfwSu0ehVgudj8w4cyGuQdV +u8UlFMJoQ4Pd9g1sWEf62fmllEIk8HzV6jey4dSHqBf15RSiyxfxFrpiPDXG +Cm5UUIi0ie0dFzaxQSJvHXa6EutZ/mHNn81scOoKM/WtohDeWltz3bewoffG +9T7bGgrx+iJxvtadDQmXGqMWPKYQmQ+PhGltY8OG979lqHUUYpgm2H1+O+b3 +uQUJ359QiOi+VvexHWyweh/KfwYU4vNdsbObBxtutfduLXhKIbrfxDg88mRD +3J3DhWefUYjmuwF2mt64f/tW/PBvwvouLrKL24XzXWqj5NCM/c/YZc1vHzaY +aZw102mhEOI8zw2bdrNhxXIVO/przM/dH7dV+2F+Xp1m9/MN9seeRwHqAVi/ +zuvNmt5RiG/B8hGxgWwQ7ZIqFrZRiKDIzxd/BWH99Gv9ONuO58dBjQKXvWxY +1QmF/h9xv0p64eE+zBengW32HRRCJkO1T20/1rd1inBhF4XYl9hFiTnABsOK +9iRqD/YHwbzFwyFsOHy3UuH7ZwoRikY2bTyI+70AnWv8gvnRsDq68hAbfs4+ +9vtmH+b3gGH53DA2WJwOtj0zgOcLs/jH6SNsOOmuFe/znUIczqidNxTOhsiL +t4D4SSGWjAZt3xCB8VXmD2kMUQi3w/9lPjjGhv8ptu54LN8vTO9+3qlFKmRl +pSg7OrYISZSdSkqFkiQp4YtCZZSkQrIzShqEo6mliaQUoUgkJQ353b8/z+d5 +7+c+5zrXeP55T3xQnzLZPwVGDp/ukI6gUPuDBa/z8xQwz1CTP7iPwjdi9qy6 +L1NA+Y/Pto+RFIYr249mDU+BwVlQY3+A9GPk8HTvyBSwd23mXo4i71d2O+s2 +Svx0qsBXOpr4Q9NuL/0fU+DypSk1UTEUejMq+ZI/p4DqyYqZH2MptKjhV/wY +nwL1SlJh9nEE/9snTV/+JnXdso6qeApv/HO7c+nvFKi5qWoufYj4oam7Ycq/ +KdByor086jDh24ZzOUFiNBjLWiXzMZH4s77RuP0UGsQvOZlin0zh09QFphp0 +Giy7Wca+fIRCK7PoCIpJg5GCEzHSxyg0mGFW+IlFg9MWrlMOplCo1xZ6+y6H +Bnf/Dsd+TCX7clJ+cZ5LAzktf65DOoVLVni+iObTgGXecPzycQoPJ8ndWSek +gWr6H4XZGURvLRFFJhI0uPef7JWDJymc3r87cs40GoiHa674lEnhtf+kLX5P +p4H7E/U+hywK52wJ+ts2kwZX+6Vjq09TeM5+f0G1FA20VSeV5pwl+xx0NEuT +pkH+UMfD6GwK2/4OPgmeQ4N5WZdD+3MolF7s7eggQ4PtR5MUVp6jUM3sAqrL +0YCr4d9yJY/08/qdAkeeBv+eWSfOzacwulQ8vE+BBuVdWpaxBRQOrJPGW0o0 +2FOrQvtcSGFxvvavnPk0mIsL7zgVkzyUd1bcr0qDx462iddKiD9Expp6qNOg +80GEi+wFct79yUr9BTTwS7mnEFdG4RevpatmLKTBW5rW2GA5hUXKLy2/LaKB +cnTtI+dKCiOcs9WfaNNgwbaAwpqLFA5GFdAuLKGBubxp3LwqCoOXf3ucoEsD +im6+JeEyhSqWiYf99GngvCNk5XA1hf3UXgMzQxrMftBi5HqV4Lvw3muZpTT4 +tX27et01CrvNIwL/GNMg5oaxrGINhb3tZ7+3LaOB7QxbycRaChsPGG6/bEoD +5qvj077doHDGTddXx8xpILlRcbpbPcFP/a/OdksaPJL6JYUNFH42Xxy33Jrg +5SIpP7+RQvE0+n2l5TQYDY9eeOQmhbwze/6J29Ggu8fY9MctCtN7MpQ7V9Bg +/48VazzvUDgxEGBa40ADQ27Vjlt3KezU/O1wYiXpNzbkmFoTeb+Gg+POVTS4 +3JhSlXKfQlwXZOawmgZ5chId4w8IX803qai50uA/sR/MdY+I39kZiTPX0mAt +gt69xxQ2DI096nKjQV39z62aTyi8mZObWOdBgzvuc/OPPyX4Pzc3zvSiwazR +y91/nxG+fe/t2uVDA62+RsWNL0g/O4+Fr/Ql/Eyz3vrwJYWlNXZ0jQ00mLJ2 ++RXtVqJHHblolh8NrqQ9YJxqI3qxmznavYno43yzm3g78ef1umvqN5N++9de +2vya5GlnQnlmAA2u4Tbh0w4Ka+Vn/tq1jQZ6Cfwdem8pXHO0T3dlIA06zpq0 +ne2kUCxmymb1YKKX9TQz5nsK17nvTGLupIGSts/F7V0U3gs2Od8VQvi51UWp +pZtCOdmgihuhNHixrf/M0h7yfXCDV54RRgPLdJnZ53tJnmXL5uwMJ/PB+Gnu +RwqbZ1X+Zx9Bg3PN4Qohnyh8uf+ut0okDTLPFJS/7iffC3O3qtMO0IDPjTYx ++0z8yqLg89soGhiHCl8UD1JYD1HZ16JpIGG4apvEEPFLD3HrtFga2F+1p8KH +KTTv1OreHkf0ascoe/+V5LdQeodNAg2infettvlG4Sydm6Pyh2kwR/OKWOUo +hY4p2gETiTS4oX/louQPCkM3hbxsS6ZB6LMD/gfGKBwZTdK+dJQG311myn/8 +SfIsLD42KYUGHxQiuxx+kTxdsPXBpjQaOGVezb/ym0ITJ6CbHqdB07T7gTJ/ +KRyfJdSenUGD4a+Xl8ZNULis4Z3zj5M0KDmyXzj0j0Lh7potT07RINdW9aOL +GBebdxSGFJ+mgVf0tVt14lz8+6F8R8xZGkSlLcxXonFx/99XG7xyaNDbkZKY +TOdicf8CW71zNKBf7979g8HFwLZqRYnzxM8SlPy9WFz8/nXP6EA+DeoLvTzv +sLl41fvAlduFNMjedcR1AcXFYetn288W02DXilqX41wuej/fPWtPKdF78ke3 +CR4Xc+ftue5URoNnaTM3+Am4WLjmrb16Bdlvvd2Ox0IuRqaXt9Iv0uDNlsOx +OhJcXPlz1LnzEg3svrecPjOVi1mnq+9cvUwDWq1WDWM6OZ/9Rz3lCg18Z+e+ +2T6Di4ulm+MCrtFgesh8eutMLt5X0Gk1ryF8kG1aZCLFxWvP9aXn3qCB5/64 +9QWzuGhh1LVqrI4GDYN+mYLZZN5g3agnDTQ42LSlZfccLmrEwLmiRhr8Djw+ +891cLj6NZl0/eIsGacaDntayXEyKTLvtfocGP1J2FFXIcVH8wODtxfdoEHdf +5ZekPBc/pUjX8O7T4LXpDMcoBdJPvdL53gc0UFlrWPJJkYuW/Jkx9Y9osCog +i3JS5qJr9KhrRjMNylqMgq/P5+I0+buywU9pkPxTpmOeKhf7ho6/tXlOg+YF +NnaH1ch9/QHH5r0kdUsNflMn+Ajt9X+3kH5W7DXyWMDFSR+LludthP8jh2pv +aXLxfcta/9J2GsTKfgGNReS+ralDMR00+KhT+DBdi4tnpX4FeL6lQW1KrceE +Nhf/vUx/s+QdDa4fWzDit4SLt45vN+d3kTw6JpbUrEPeZ5+Y3dtNA9chPQ09 +PS7aff3xta6H+Dm77Vm2Phdp26v1TvQRPzDq2sc25GLtpWchgZ/IPH1uC3YY +cTGoYlW+1QANVm6y+NC+lIsSDvBIZpDwWer8WTMTLuqHn/s09oUGGzz2+ZQu +46LSrIO/m4cJP5OeKk035aLejB7xwhEaXGKfH9lnxsXzq1782z9K8l/z981e +cy7KV7uOuP6gQaRna6aDJdm37O52zZ/kfcNGu69acTF6h8FV5i8aBFlqrpWz +4aJ7YtHhzt808L9RuezQci7SbR86X/lLA4VLdzW+2XJx1uHiqUf+0eBmbIis +xwouflCyu+cnRgfV1BrJ2/ZctB+7usN4Ch3U9LNnLHAkfHzxU2IGnQ70FsVZ +J1ZyUTZ1atEggw5Fdx3kJ524eIAlWnKbRQfaVjmtzc5cvM0cr87i0GGn3BnL +Z6u52L3u+YIQLh1+WjT5GLoSvHsLsmz5dKjVzT+Qt4aLoxsiJ+cJ6fDcWS+f +58ZF9SIvt18iOtz+ffBpqDsXhyIdi59OpUPuoQTxdx4En3L34cLpdKjwdtC3 +8eKiKS1e/cBMOgS9at110ZuLx8zeeLlK0cHQRemq9DountJaH7dAmg4Oi40n +Y3y5mJgul0+fQwevZ/Psv6znYv8C2ZqOuXToSG7Ncd3IRat6vzuXZOlgec/7 +d4MfF9cz/t49NI8OEm/q3FT9uejY2F+/ToEO89V/1qduJnwt1y3TU6KD5DSB +2t8tZL74gRTBfDr4f2Nk+W3loh+Lv71XhQ6KKt0ST7Zxsasn3+SGGh3Y0wqO +6Ady0bPtBjNNgw7tEi4S54K42JTmdmeLJh1CYr5lcndw0aA5Zi8sosPvuwdV +QndyUdnAXFlSmw7uRsy6zhCir/+ym74spsOBZTFrbEK5OOab43tbhw712n9/ +XtzNxY+R9iOn9Eh/u3adnb2Hi+b/lYftMKBDy/ph2//Cuait8PC7tREdZnsH +TwztJefFSzfLGNPB787v6rX7uHjlvsuL7yZ0+PMzZdfNSOIv814seQh0WOhi +YKBxgIvPy9WSc83ocGfpd9qJKC7+mrHxTZgFHaYL7r6cPMjF/F9x8g5WdChR +uVS6JYb4459TPoo2dHAbrE14EUv4XVuY9ns5HV5d69tqHMfFqLbL9U/tyD6+ +6LgUxhM9frn/vsCeDqLPFywkDnFRMnPo1z5HOtSIHA0jDhO8dqlRzk50KKiX +1e1N5GLOrP8kVJ3pcG21vL5jMtGDLFM0uZoOjovd4foRLjrPqWa0uNIhsuaB +g8IxLoblZ34rWUsHC9uwDckpXHRyqG2NcqeDtfmG/T9TubileN4lV0863GKk +Zvumc3Gb9ctYDW+C1zfmvYfHuZh59bXDlHV0wM13vutkcLEjYanolS8dQh88 +Vck5SfLJWvx+2QaCd5jGBuoUFxceWBQe40eHrc868nZlcVGq5pmcmz8drPS7 +BzpPk7w4ONiguYXwhW+uv/ws8S+PBFf6VqKfSvGkqmySR08v9LRvo0NO7Ly+ +ubmk3uAbUBFIh6j+fKuEc1xsO1n2MTaYDpmQWvYtj4u7v530dN9Jhxmf+6W9 +8gmfR9TuL9xFh0TbyiP3Cri4YcbWBYzddNDDT2ztIoL/m3WHXofRIa7sxKHT +xVx8dWva24pw8nxXnYhVykVp60SV/yLoMBC67uyOC1xsfd+81T2SDvbTY7Tf +lHGxkdNXsPAAHaZeVHlsVcHFdwav2ukH6bCxfHXgxUouPvh4gf46mg4ygdTM +OZe4eCJh6/yKWDrorLK/HVdF8D422yw2jvRbJxc+cpnk9Y7bq90SiD5ECUs8 +r5C8ObvdR/Mw4XdF3Njdq1zkxcmspyXRYd9f2Qat61y8m9Hp+SqZ3Oe25sjp +GoKvabVj2VE6KKku2si6Qfx6qNgwOoUOxs1lsLOOixPU7blr0oj/lL5QeFvP +xXgx7i/143TIUszn2yAXffXiHollED1kKf271EjwkzQ+2XKSDnkha3/MvcXF +jUw9z5JTxF9EpqMJt7m4fEuE1IHTdKh+2f1z9A7he57EY+ezdOAqmtJ87pG8 +lxTfq5JD9LHeZ8aDJi4OKDvJTuQSv/kGmjoPuMjW4tQ9yyPP9fvtcx6S/acv +ci7Ip8PxDI9d3MeEP5XNXXsL6XB0V1bu7maCb+fAZsdiOnzQvtDS9YT4bUTS +J4VSOpzUTRHZP+Pizq6adeMX6DCnx37VtecEr82Rzx6Vk/PZvacUXpJ88+8w +zK0kfv/YY+BIC/HbJW9Oh16iw/1nVfC7lYtuyvE/l18m+EiMnPF7ReY9+sFW +5god+kZmTnnWzkW8OX7i21U6zG1T2b60g4tfJZo77l6ng4ay2rvCN1yc/jhg +VlYt8QsLmbXTOsl95q2OQXXkvhPsV/vfkX3elDxg3kCH0oOD3gPvCV4ZuoWS +jXTo2vp40KWb5AvfsOnzTTosrSk/2PiB4Bek2t1wmw7HnqfNXdBL8pjJ+5F2 +l/itdBSe7CPfJ9L9YpubyPOfuwPon8j3y7d7jKUP6KD7NGJ2cD8Xa15W0ESP +6LCcSn3RMcBFPqPo94fHxF+5danWg+T53asDV5/QYb+RmFvVF/K96dn3IvEZ +qSe9lWWHif7ZRld8XhB/rn/z+/BXwk92XcriFjq0du5rHRvh4pMzIZtYbXS4 +cc/s+vpRLl6gb1rS8YoO/95p5TV/5+K8vVl/yl+T/o7YpxuOET4azL4R/YYO +GYaZSQU/yfdM5GCoayfZj51U0tRfZL/7Z6qqvadDk0pz6v7fXJy7O6dloosO +5wzqcwb+cHHzqZSIZx/oINf3udp1govW80ak83uJPo+7P7/5j/jPsrtVez7S +4VElf0xTjIfjKlJWK/pJ3mez52WJ8zBYNPRM9jMdxpocnFk0Hv5UdlwzOkj4 +c+JDUgidhyOnzVrvDtFhffCDx+8YPJxx7onDqa90MG1gzlzB4uHSjRO4/Rsd +rn7O8rvG5mGU6IWG6Xcyj3fyDUWKh2Iv1qROH6OD9MFO6RQuDxtbU0c+/qSD ++Y3UqAkeDzdaJtrW/qKDdnjZly0CHnJtbM4c+UO+L+Zpr28V8lCG+azfd4IO +HFnFTjMJHnoXaCzSmSR66ojzrZjKQ8phfTBbnAEbG7wGZ0/n4Xz58JKOKQzw +0L2wP2EGDxlWezrL6Qx4Wxwq9WMmDwc7NvGimQyQjK277ivFQwPGiiUubAbg +wvj1zbN4qNat6apCMUBHsnWq0WweyqfO3PmHy4Bl+WUPCufw8LM2ldDMZ8AB +C4nD02UIHt2ik7lCBriuozsdlOVhYa3WuV0SDKjecFh2SI6HMa9DCqynMeDx +9YIf7vI87FrbeV56BgOcmz1f3FPgYanjnjNfZjLgJq/y2hIlHg632hxDKQa8 +ep+Xn6vMw62MNZFp0gzwvGJ0SqDCQ5WR4o2b5jCg4NfeExGqPFSusLEykGHA +o5l+pz6p8VDK2VCeJ8eAP+ET+S4apL+v/413zmMAdcz6+s0FPGzL0L5/UYEB +SXesXi5cyMPZHtbpsUoMUIn/N3Z6EQ/FbR+6rZnPAA2znfMobR6ahdyZpabK +gDMb8p3DFvPwTs/Sl3/VGHB3bVZyzxIeskr1Dz3RYAD96JonTro83P+8Qf+c +JgOMdr2VatDjYbxfe/euRQyQ2r0oQMOAh5qBSfHW2gwInLL6VqYhDzf8eKcs +vYTME2+nyFrKQzlaBw7qMOBTiHTyLmOy/7OxLg16DEjTuT3RZcLDvY8+9KQY +MGCH0YrdjsBDm7TJwI1GDDD7Xj12w5SHq8c6R3WNGfClmX5AzZyHxeMJIZxl +DDhouFR40oKHx0/ThzqAAbEFPoUMKx4qfli7odyMAU7RO61DrHm45FHSiygL +BrgZ7xl+b8ND/zWFJs5WDHhovSvbwZaHl6MrzivZMCBEImDNDTselttdYIwv +Z0A85SWpZs/D9eXnfR/YMUA5b+W7DAfyvoLsa6ftGTBvhU0FYyUPhZrnqSBH +gtdu6/gQJx4+Mrm+xtSJASdSnPy7VvHw9LPe7GnODBCJAhwdV/NQsnPRh97V +DDi7Pn1ZnQsPD7nnzrvmSvD7/UJPfQ0PjY1NPA6vZUDwcg39zLU8vLFXcMzT +nQF6jTnAcuehFWsWanoy4NqLJU6hHkQ/LRs/i3kTfL593vLBk4cNbeMSL3wY +sDXl/mEnbx4um+xYnO/LgCPznlU1+PBQf+kMp7ANDOiewexd4MtD2F+6Zbkf +AxK6tsqcXs/D61X5kbP9GbDtJ2MdtZGHH+5TyV82M6D1QVvxHj8eVpZ1ZTQE +MGCsuedP3yYeSthpnU3ZRvQQtsjVZTMPS5LEcjYEMqBfv/7arS2E756uZ3SC +GWAel6KgvZWHV/MMTrB2kv2+LDuRs42HZ2wvHm4PYYBSxsypwkAeOujf3lsa +yoBV5k+ORwbx8IBz+KbIMAb02XfMGwzm4YWDbfaO4QyoVDe54r6Th2mFvYvm +RTDgndOfVfdDSP9FJcLRfQzI1Jk5rhdKzm9eMHB7PwNqVqTmF+zmYX3TLjwR +xYAOXojHjD08fF4Sn7o5mgFdn2tnxYbzcGxo2zrDWAZIrwt+/20vwXOXuhov +juj3XVqF7z7iZ7MfDL+NZ0Byl2r800ge9tQ7Xqw4xICRDh3/ZQcIvia3Ag8m +MmCJVa1jeRTRzy51FedkBrhn1MHcaB5OMT76VvEoA/KswDAphoeRO38cGTtG +/Oyh1dI/sTz0Gdq4tCmVAVfOvrQKiOOh4FBPb2Y6A5h6X9za43k4d3ZE4tYT +DDDhp4faHOJh596FC4xPEjwyH2VePczDmQfYDwWnGNC7+tRd5SQePvzL83uf +Rfh4Vezv8WQeTjaZ/7l4hgFzjGiGjKM8XHS1Kjkmm+x/bX7UrmM81Di1YY5L +LgNkDw08+ZDCwyQL90LlPAZ8tmqd75xG9B5/VnP8POmfuy3hZjoPq7T1Lt0v +YMBSp4oRrRM8bJmprp1VxIAVqXkbcjN4mDPlYPm2EgYYLl/RKcrk4adby+ab +XCB+8/WCb9Qp4g8qgaeF5aSm3f8ynEX2+2eqoKuCzDORF+1zhvgJpbPv0kWC +v5up3JOzPLwn09EXU8WAwrTzd01yeJhP4zm4VDPAcf6z0PJcHr462HxR+SoD +yo49WCCTR/bpqzp1/Brh14r0oeTzhG9bFYLu1zCA36p1bSKfhws23Wo6dYMB +G0oLDm8v5GGFpEh2Wz0Dpi4f83tbxENLS9FOYyR4aCja2pfwcNrlB42CmwyA +54v16kp5eHe+leD9LeLP11QWLCgj/rDh0JqLd4jevZkaZ8p5uEo160z0PYLf +sqeL+ZU8XGMU/d75PpnvzSGLyItkX+6WckoPGcCp0vX+congZfnZc+wR8XPT +11Fel3mYULf3xL1mBmSx9lx4XM3DlVG/H518ygDv2Gldxld5GG63QyzgOQMW +61XKlF/j4bE3vYuMXjJAJsfJT6aG+NGwtzevlQGDJn8uH6nl4SX4kPC2jfhF +WiV/8gYPXx8KryxvZ0CQbGhQUD0P3/6n0nKggwH+61e8ftdA9P9lbGzlWwZc +fmvgsLKRhxl7P8+Qf8eA5VNNH+JNHk7v4WmPvmfAh4N+Tlq3eRjU5Wt3u5vg +W17yPvcOD2epjvge7yF6lJoePvUeyevgxtBNfUSv5vnSMU08pAW2x+l9YoDu +Jd87o/d5ePHlsuPsAcLvvhXhGx8Sfq79k9P+mexzfYBuyyOSp6VTS0q+MECs +tO6vZTO5PzqpMmKY5IeZ7aMrT3j4PjHo8ooRkucXpuXPf8ZDx703q+eOknze +Pjf+5HOCz0Ti5aHvZH721p2clyQ/bz+vbBhjwFWamP/eFh7W7T9Tcmyc8Ln7 +3cbPrTw81/4t1/c30buqYJvnKx4mR7ef0P7LgAbvI/set/NQS3ntIdo/kges +jSdMOkg+BYeGv5xkQGJR6vWKNzzU4+v754szobNpbp9cJw9VCwpW7aYxYeYQ +e07qO5K/vfeMrBlMGD67xoPWRfwh9Jy8FIsJvb7887u6eZj5dymrn80EVv2C +sd4PPFyoeLb/OsUEX8MbTmt6eRiS9uj+YR4Tyr1vXGnqI/z92lzoIWBC2iUt +JcNPPDzZVRqjIWLC+zrZM6X9ZJ/cAK8JCSbIcg7LzP1M+DBNpNM8jQmNc3YV +Hxkk3w9nzlPZM5iw82CXsdgQD3PtNDuDJJkQhi0dO4aJfhqrKmAWE6Q2rI75 +8JXkX67RAYnZTOj+tm6Jyzcyb+KjFd1zmPDfr39Dd0cJv+dtl6qSIbW4dpX+ +D/J9OkWxO0aOCbOOT0SVjPGwrPln8Wp5Jjwz8Vs7Z5zki+JwkJIiE/oObTM4 +8ov4wTnRkjElJgSKSyqK/eEhvW/92N35TBhbtFlq518eBiYOXslQZYLg/IaZ +PRM8PLzwcuhmdSZIfOTJuE7ysHo7ahssYALE+S9sEuOjWJfkEGchEyb4YbaG +U/jYodBY+HoRE+K4y4Iu0Pgo+/SmT6k2Ex5wb52RYfCxcL/CzH1LmKBzmtl6 +jMlHv6b+Byt0mXDNli9FY/Pxn8Wc/XP1maCV/3pDKIeP/YmNC4cMyD4Ndl7/ +SPHx2OL37+qNmLAuo03KnUfue77/yFFjJhSsEEQ/4vNx3788o3XLmHDz06wf +JkI+Ftu5flxkygTxPxM7LorI7x1Op4ibk/PT6scVpvIxJ2uf4XMLJjxq9Dp0 +YhofLe9MdJ2zYsLuE+8VODP4CN7KCSE2TOifZ9sUMZOP8eN/NSxsmbD4x5nd +Q5J8LFdKeDp9Bdlv7jtN31l8nLe7eWevPRO+XJ068kKaj0f3tk674kj49MCw +zmoOHwNuFlTFOTHh+FaPtOtz+Xj1jeWqNc5MeKuxJ0RDlo/T1tYMz3dhQkBu +ule2HB9P3qSSxl2ZwPa87DRVno++xcbz769lwtfh147/KfBRL9OtMdOdCYe+ +cteOK/IxS8bPPcCTCT9HbAO2KvNx+Z1N3wy9mSCdkBXXOZ+PY5J+h7jrmLDW +WrzMSZXsI3eT7BtfJpy4feDtbTU+Kg3uuHxhAxNepEtL6WvwceHBZJtIPyY4 +27d4li7go11/Q4e9PxMSY6pKZRbycVGZMFBmCxOePr5GT13ExwerYyaHApig +evOTP0Obj+83zTvWsI3g/9OqZc9iPnYHfJU9FsiESFrbisElfLzWN1a+LpgJ +F/efbvbR5eM7HyNjrZ1MaJs85f5Cj4/fPG4/EN/FBL5s61crAz66+Zxc8zyU +Ca67nFJqDPk4f6juw7kw8v6ToqWaS/n4KtEoKCScCbXykiO5xnysr5X8bR5B +6rLNlTOWEfzE3GKnRzLB/jl77yHgY2IHQ9C7nwlDqn/sJ0z5KPNEMaM6iuzD +wVxjhzkfqz1uyMZFM0G3o2d6rwUfJ8VfFLrGMuHYlg8sNys+vjYNWjg/juj3 +uBnjsTXhe1bGlZ/xTGgdZ/BNl/PROWmVcdMhJmxZpCVbbctHbnrBrZOJTEhv +u2ekuoKPqxedWr4lmQkdhx+vP2PPx0edi58YHGXC0T7LdAlHPrLm7F1NpTAh +Nn7J0/9W8vHXxpD216lMEHHPzPztRPaho+xdms6ESkGMf6AzmZed2R1xggnq +iwZudq/m4ye355tWnGTCfn6ryhpXPrbmvRqYc4ro09I28+EaPoatuxT4JYv4 +427b6eDGRx3Opm91Z5hwCl5nXnbn40rJ36FHspmw1WxCVdWTj1toob+8c5kg +nHP19hkvPgZavt23MI8JO7ZzA6b68DHKxUBMLJ/wq21iVvw6PqaVHI15WkD6 +/53y8o8vHz1q+5i5RUz4F/YwM3gDHzX/WRzeUcIEg5GyLb0bCT8/VfLNLhD9 +s40t3DeR5yOLUqaWM4Hus0/1iT8ffRIfTv9QQeqTQbMstvAxWiP+ZNVFJti5 +Sk+/HsBHB5uAObFVTOhaGjVLcxsfvVZF5KyuJs+Hz6vmbedjTR0qKl1lgoVE +koVUEB83TEDxj2tMMLE2CEgO5uPGmCmad2uYUKRTeWrKTj5aNHKrTtwgzw9+ +bwkL4eMblQ36/vVMSHnCmfNlFx/vqQnr9ZAJ43dGt63fzce9ejMt2DeZsIa6 +0tQWRvjasP/Bq1tMmGu+eqF9OB9PaDk6Fd9hwseZz3Nu7uXj/YnkV+H3mJCp +sXiu/j6yz1TTdbb3mbBZPeJ8WSQfJ7yCP0k/ZIJtbZmuwgEyX7Pcjs+PyPti +m1+cjOLj75Vuv2ubmSCv2RUhiOajrrNcbNJTJrit79eMjeFjrek+gddzJly/ +PzD4K5aPuQkhmQteMuEyv786KI6PyWk8pX8tRD+vPh7qjefjoWb7i81tTBh9 +PrDZ4xAf7c8bm2S3M4FT/GPVs8PETw50PwzqIP3TeTbWSXxUeWDmDm+ZoJSq +ZVOXzMf0oY39ondMmP93i/Pio6R/F8fwrvdMaBm6tqX4GB9jt7CpS91MaJgp +nyibysfhlBNZ0T1M2C5XfPV4Gh899cQ0nfvI/dechrnHid822jUqfGJCRrKs +dvQJPoaePODyvZ/gs2Jm1HgGH9vkzw3c/kz8Os+gPTCTj//dux51/Avhp2my +ce8pPtK+PJLcNMyEjS+nl3mc5qP3r64K3REmnOe9nP/8DNG306QNa5ToO7O5 +zCab+JOH+oe270wIV2Mva8jh45F92/YXjTHhTHBsh8454ndS96XDxwm/51jH +XMjjY1eq9bXlv5lQ3+msq5DPx6SVQ67Sf5mQtKX8e2YB8f/Lt8YGJpiwL9C9 +XlRE9DevOaN2kgll2R5p8cV83PFnmmGSOAvYldUh/0qIPvKy3nrSWBC5aptP +6AWi34it0QsYLFhpGOM6WMZH275DKv+YLNCZ/W/thgqiR4uJJ81sFpwvfr/p +dSXJy7GHe7IpFgxlakY5XeKjmvdf+WAeC77lfD7fVMXH3tfpzSBgwYJds1uW +VRN/fpQVISFigen9RtHVKySP0yTVuiVYMMu1e43mNT4uPiJ4fWkaC4KeRZXk +X/+/H8UnxsxgwdhIDntuLdlPVrzJakkWjARa7Uy/Qfw0YOao4iwWvJ/c9ZFb +T/L1o0HxD2kWcLwWbY5pIP4SPL7u7hwWXDHZ9/038tHFd610hgwLznl5Ju28 +yUdHqXUt/nIsmB/ycuHALT5WjMxI1ZdnwUv9T52+d/jYsDxqJUeRBambszLb +7xJ978sXvVZiwfUbIz5OTXxM7U18XjKfBVZfh7Tu3+cjvjc4EaHKAuP6E0LT +h3zMbqr2WKHOAqXuwfFrj/iYMs5QmLuABbpSP74sauZj3YNFg180WVA6p2qo +6Akf5TKXXq1fxAL1C2p/5J4RvtcvjD2qzQK1WJ9pmc/5yE4TOa9bwgKN9S56 +Ei/5qL+jV0FLlwXT6CL/Qy0Ej4uXx8T1yXmVtHPibcT/y2IfPjdgwZnk7v7w +V3xsr/U4l2fEAq9RceNv7XxU1IWIXcYsoM/6kRXQwUf5XfqulstYcLO+gfnh +DTn/2HbxTFMW/DvvF+nRSfR4MnLqRzMWHE4amHzxjo8XNdpGr1qw4IDuqiMr +uvi4qcurLcGKBa825qjc6ebjeZ5UnZsNC6LbXzUb9/DxFJ2Xr2bLgg7Xyagr +vUQfsnD0jx0LJHMkly38yMftl2oiHtmz/v9/Ak7RJ5Jn06IDzjiyICxP453c +AB/NMk57BDqx4GzvosbMz8S/U0WOy5xZ4E/TrZj6hY88jx4LkQsLsHFZceIQ +H4fMZYy7XAkf+pwq6F/5WJV7W+/SWhas1Q1ujBwhedT0dkmMOwue7jn7buwb +4Ts3eMlqTxZ8D3nPCf5Ovq/qD+oqebPAYtgA+n/w8eniWUZjPiyQvlQevf4n +ua9hqdk9XxasijV71jFO/PrSN7uTG1iQr/lL3eU34Zev6dotfiwoCW9Nbf7D +x4dzFvob+rOgTLOTYTNB9K97cw93CwucJKf/1/iP6FdcPPlNAAs6JyJERmIC +NGkeySvbxoL2C7OKLosL8MuXU3X7A1lAG/5qp0kT4KxLU147BrNA+RjjbyFd +gApbF/6S28mCYQ+Pa/OYAszeMn/2txDCL5mxqCyWAGsnvi67FcqCnvPtLjM4 +AhwIS/VPDyP8vMHRO0oJsGf+1FS/cHKf1mFFDk+AO7x2N+hGsODnC2+ZGL4A +3/vfGWZFskB1R6LihECAQScYCu37Cf9fTdMLEwkQ9I3dSqJYkPDqj8uIBKlP +70yNiGbBDDPrg1unCfCH6ELziliCb8+va73TBfiuZ5gvE8eCrymSEz4zSe1n +sXI4nvBR+rz9a0lyf3fFcTxE5nXMK1k9S4D2RfqdKYks6J8ya/oTaQF+oveq +bkhmAZfNObx8Dnm/Ze2eJUdZkKMVxrs9V4Bp1xofMFKIP63yzzKRJb8v/ifb +lsqCh8ve6l6XE2DUpj17itJZsP7Rm87F8qQ20nkZfoIFTY+3pJUrCNAq1Gix +3UkWjEslrFZVEuDsdSnH55xiQUyMkfx5ZQEKbYz/fMliQdeH+L8yKgL8L9xy +Y8MZFmwS7fiQqSrAO8sqnx7LJvO//906XV2AHX0xsD6X7ENNte2oBnlfzd2q +xXks6Ls3+YHSFOBD+gE1Rj4LXI5FT/y3UICDElXnWwsInzyrFcS1BPhIY4t8 +URELdjNPu+7TFuB4dmFeeAkL9vgbnvi5WIDTruxSsbvAgma39O6dOgLsvd5a +OaecBYeulRkN6Qrw0I8XS4cqWJDnfTh3iz7Bs2rno4aLZN/zNaf3Ggjw89Lr +PilVLFj69XTaOiMB4puysfXVLEhLfy37ZqkAp75xTVlylfBrZODaGhMBPo+t +Wci8zoLC3mfeL5YJ0EPu3bO2GhbIOKRJOJoK8M/PB2HFNwjfOYufPTATYP7q +2HkR9cTPfl4+Y2UhwCsHJJ6sQKKfsTlhNy0FKHNzT5TMTcK3vkAvE2sBbt+I +Ol9vsWBfcfnKGhsBfi8fGmq8838+v1+payvA0QHOhbR7LFiiwvK+ZCdA33VS +2/3us6C6cP4eTXsBaqyR09Z7yILQA5bZJQ4CVJRS+cN+TPw8deML5ZUC/Dmg +0/S6mQUKtxOm5zkJ0EByZeaFpyz49LN6vawzqXv3Be5/zgKfqV/rslYLMO70 +TeuVL1kgP26oLOUqwJDY+UryrSyIPXIqK32NADf3XGR+b2OBVO1UGQk3AarQ +Nw/eaSd+u7GwLNldgHvVVrZmdLBgINjTlvIkeJ0Nvr3lLQue3dP5HudF+F74 +5IrROxbMcdIrpfkI0DAppIzfRfzs+8agqHUCPJu2vuhdN/HbrJsw4StAET2v +8GIPyUvN1bJ7NwiwUNGoNKaPBYEZc7k/NwrwkpFWlcsnktcoT9+1SYChRxMb +5g+w4Ei6PzXiL8DcTSuf/vpM9vtveG7gFgH6s+J6H34h/Q40mHwOEOCBq9qT +Z4ZZMGjesW3zNgHeqvOcGzzCgkXjlkW92wX4wocCs1HCl++0kfVBAoz/YOo/ +/QcLbivNsn4fLMDqI5y0vjEWdO89VOK1U4A7C/1vXRtnwd7utbM7QgS4IWT9 ++OHfhB92iZlrQwXYqiem7fWXBbIFikqtu4k/GVoHL/xH8rJbpd55jwCPNxpX +iYux4cLXrI3PwgV4X2Lg9wtxNhTePCjlGCHATcGrrAtobOha3tn+aJ8A3RQi +T+5hsOH9nuoi2/2E70HBQ7YsNtiZcf9rOkD8NFN7+VwOG1Zmfgi0OihA3qf7 +RcMUG6idZptuRwtw8uxS/k0eGypRfatZrACTaCm70wVs+B2eF4n/CZDp8bhn +k4gN6WllZ0ziBWg38HONwVQ2rKY5PLyRIMAFYzOfcqezIb4hgWl0WIDbbi2y +75zBBlGDr+P1RAHqZdg9qZRkw/Vfb/L1kgW48Mp215hZbHD2/8e5ckSATRvP +dLvMZoOO2IOIJceIPj69D1GZy4bndeZ/LqUQP4k1of7IsCEuMyhBK02AMQdu +5D+WY0NIspNCZboAT8zxtcqRZ4Nk+peHmicE2J+jPbhTkQ39RdbRZRkCnOGk +l2GpzIawexusNDIF6Lwj1FpKhQ2vP1tKlZ4S4Dmr0b8DqmyYM+3bT9XTAtSd +cfVqnTobwg239RadIXyedy/s2AI2HPa59n5+tgBXVqoab1jIBuHB1/0FOSQv +GL0sXS0y35lWMeVzhL+bJtvYi8n81ZVK+XkCpEseKOtYwoaBu9vWKuYTf/II +SCjXZcP0l4LMvAIBvtpzb/NBfTYEvz31Ub5IQPL1tMNqQzZk9ky3OFcswKMO +Xw3mL2XDt89R5fNKBcg51qT225gNs8a6lXMvEP7Xqs97vIwNU5nLyuTKBbhx +ptzcHFM2MOQyTXMqBKjfUyoTYs4GRZsfH2QvCrBkS4uSlSUbNsWsSc++JEC1 +z+e0Z1mzYbL11irZy+R8mbTloA0b1iw3kc2uFuDT72ZeDbZsqH3/4JfMVQHm +MOQjUlewwez89u6z1wR4UbH+rJ8DG5qz1NplagieJ+Y26a9kw+4njM6ztQL8 +mm31k7uKDeI2tBGZuv/vc5nGO2c25AnmT82uJ/s4LPC/5MKGQwtCTWVRgMt/ +XC/8bw0bplSM7M9uFGADx2ZorRsbRs7kPJC9JUApfoOhhgcbtJlxijm3ib+a +KyVPehK+jOYnyd0V4LFvUb3PvdmwLYROy71H9u/9yrxgHRuMU/Pj590XYN1D +raLw9Wyw8U6WPvdAgFpRaVPtN7LhS29Drfwjog+kxchtIvfpmW7NeyzAf08T +fo36s0Fl4wxVxScCPPxTZfe9LWxI2Qs/zj8V4O89A+OntrIhP/HuE6XnZF+n +XhwM3E74WFx6reCFAI1yB0RmQWwI6hmtmN9Cvk+e6xTM2MEGpZV51UWtJF9C +ak37dxI+TdbdV30lQPMHBz/c2MUGJsNmsKSd+O3so4nHdrNhxm7LuRodJO8v +9Bts3MOGq5tqPMvekPlvZQzp7WVDxmBJiWYnOV+QXczdxwa/ubNZle8E+CST +tfVdJBsChMKdWl3EH3tatKsOsEHi9eHPl7rJ98RDkXj8QTY0paeGLOkRoNyJ ++hb3GDbcW6NGXekl3xMJvZWa/xF+G7lW6H0UYNVAYuqUeDZYuUtvuP6J+IX4 +tb2tCWywfLxXyWiA4D8teEvJYTYoVESM3fhM/MK/xnt/EhvWzZ7XavJFgGvM +z7ivOsKGiAVBt3GI8OGLjJfyMTb0iQc0mn39P/8sN/1OYcOq6hmPb48IUHBf +cndzGhtK/HZ/tBol/cdnJZ07zoYXi46J7n8X4LqFbcW7M4hedfxt7MYEqMR+ +9tg2kw1qaZNHHv8UYPnao+MyWcTftnj1OP4i822WUhs9TfTWHmvz/DfRX+TO +9ffOsuExbW/t6r8k77rycrNy2OBDmRq3TZD9vb70MegcGw4IOx+7TZJ9VeQv +sTjPhn86LtvfiAnRsCQ6QaqADWdzS2b7TBGihsTKD4OFbNi6u/tVF02ILhrT +LRuLiT7bxfI3MoQYYNFSdryUDbOHOVEfmUL0z82cG1BG8OgUDwhgC9E90T/d +pIINJx4Prv/CEeIiO8up0y6y4fOH5oBgrhAtVQ0yPl4i/Fl+4eAoT4jBgcsV +blxmQ5XSocLdAvK+DfuuHLvChh3ntrz5JRSin9OrlX7XCD79TnKREkLceXDD +N4Masm9FqxCxaULMWaqYJbjBBs0Dti0x04V4+ZGc3Yc60o/iBivWTCFSET5T +rjWwoR7S7x6WFKJFSh8mNbLhtFi3i2CWELXdbsT53iJ6T1n5PUVaiKpzPzrr +3mFD5Lye3BlzhNiivF2Fe48NK97leGfOFWIhrqa/b2LD2K/DanNlhWivc/7j +5QdsKM4tYOTKCVH5ie/zQ49If8zxYUV5IU68Srvt3cyG/e4x/UUKQgw6A/WL +n5L5mld801ASotHmwAb2cza4HF9LXVQWonisQtPbF8Rfu0u0dFSEaLZ006tL +LUT/n6w3X1cV4vM3S7/Gt7Fh35vF5cbqQtS6WCb0amdD7OhO2k0NIQoYDbra +HQTv9ZzNVppCnKoU5sd6S/bl+6fjwUIhcr3eZL3pZMOwor2Po5YQT/763n7x +Pcnf3infXmgLkWl9Tza+m8zXIZe+dokQQ1Pdtnv2sMEISi3f6gjxgcqlm1p9 +bJi7ooC5Xk+Id1zbZFmf2JBgMLOtT1+IbgFPYt/0syHZfPLKVkMhnq7MGbn4 +mQ1u+X4FX42EuCbMaVP8FzZ0n7LPDzUm++R96vYcZoOyb23VbxMhrqgP8Nce +YcNmnapnB0CIn16/G2WNsiHJxWCSbibErEr7hLffST9iq5YeNid8PFKjWDVG +5t0lfkhoKcRptzTuJ4yTvB+16023EmLSmZJQ799sOH9Dx0naRoi7thuqLflL +9CRx61H2ciH+Pdjdx/lH8n/J+BolOyFKqheXvpsk/uHf/q1kBZn/WvqeanEO +pA4FnFnkIMTte0vtE2kcUORfXHPFUYhqjaNqvgwOfGNVzlvqJESftyEiPRYH +5ilu+9O4SohNstr/eBwOjBb291ivFmJs+5Lv3RQH7rdrdD52EZI8jf52jceB +TjHDj85rhNj9U+7XEQEHVvvNEHu9Voj/Tc5k+4k40Oh4S2WduxB/3w6QNZrK +gQ0cG98+DyHWZ8ovk5jOAd6bwuJtXkK89dTC/+MMDpRP/Sg+6i3EuBttGXWS +HAgc5wSErxNiWEXX07RZHNBun9496Uv0NrF5asBsDvSL8wLiNghR91eIJ8zl +wMOGUXG+H9H/GLtipiwHbq57Wpy2SYic5ZrUFzkOvF5c4Cu9WYg/LQa235Ln +gGFCuGruFiHeNjF/nanIgZnlDuIqW4leDi9zDFbmwM8fqv3l24RYE9n7yEqF +A9UXhV06gUIc2WbkPFeNnF9M778RJMSYMuvuUXUOOD3milvsEKL5cdHeBws4 +0PBCTfXhTsLvvaelcxdy4PQpP99Vu4T49uLIrTAtDjzZjcXtoeS+1Jm7HRZz +4EXdsim+YUL8HiKhpaTDgWV3PwZ82iNE6Qufvv/R5cDfvhsfgvYKUSH1XONz +fQ7EhN3a9jNCiK8jLTOKDTmQ9HSScSCS6OdeW2jUUg7I2O2uYB4gfnXHx2uN +CQcGQX3LkSgh+j77YK8JHNjOU1g8M5rwxTzAmmHGgWmc9fyzMUI8sevX8jfm +HMhMHfyp9J8Qz9VluFRZcuAY4963sjghbtxjF3DYmgNHGn5M6CQIEf5JJ/gu +50CYTOSs+kNCXF7Mq9C340BvlK+lVSLR2wvld0J7DmRYFR5sThJi+qsgqY8O +HCh4sqrZ9YgQFacOudev5EDbvs3q744K8UpHYcHxVRyoqhg86Z9C+H4s78+2 +1RzoePBh5tdUIeYlf3SzcOXAHK1V+XvShRiyYG/j7LUcWGS11EL8BPG3x77a +o24cqA0sGD2UIcSC++cvPPDgwEfh8aqpmULUP7B80TkvDgQf5cVmnRJil51r +XbgPB8xXS/gpnib+mfTM2cmX9Hun0LXsDJkvp3FUZQMH4u1ertXNFuLXDxpn +xPw4UO+QtbUhh/jv1VkrX23iwAwD8aM254TotecIr3IzB0p3Ubee5QnxUlzK +8/gAct+2WpZHPvFbM9VzPts4YJ8k5dVTQPyS8ozQC+TAZVC+tb2I8HfZIm9h +MNHP2CeDn8VCLDW9YPtxBwfc5vg1RpUKsXhnKzSEcMBHLtuNKiN+rV0NGaEc +WLwza0p6uRDX9jjYBoURPRz0vjG3Uoi9n4q9rMM54ImDcYUXiX+ee7RXNoID +vtm267WqyLwhdbk/93FALmWfQ+1lwr+G6OdP9nNgkh1vZ3mF6Ldfnl8URebd +G+j25KoQE13OO0VFc4DjobfH7TrBfxM/Z20sB5iyfYUfaoS4+eDG8UVxpB/j +A5+23yD6oirdOQkc0NFgGY7XCbHEf+xu1yEO5G2IPh3dIMR1E8bGNYkcEHj+ +EPIbhfhDK7kuNZnw+cjG9Iyb5P6AAeutRznwatdLVfnbQkwQer4xT+HAm0PL +n164I8Sx/z7tnZPGgXc2TfF694TYp3NC4Uc6B7iaLitvNglxf9zW1scnOKB2 +5buq/QMh/nkXmFZwkgNGPqXTXz0U4uOSAvcDpziQWBgp2vCY7Mdxlsba0xww +EQTPHWoW4kXdxyytsxyInhZvFP6U8PlB0xdODnm//r0A+nMhCkOndnbncsBm +Yknp0RdCbMuufFWbx4GI3pd/pVuEiNXFb9Pzid+GlPoUtAqxfx79y/ZC4hca +dS+0Xgkx2fEu07qYAxppAre6duIHJWNqcqUcmK95ftimg+CTneX26wIHLGKi +M16+EaL1qdrU5+VEb7PKV67rJPnB9motreTA2j3qswffCbHMNU7xv0scqFGZ +HAvrEmL1qHGk92UOXKha0EP7IEQZ+8Pv9a5wQDWvtvtojxAbn+1wkLhG+BBd +9m12H5n36++7A9fJ+Tes6UUfCd+lNGxv13LgpMkTqyX9QnxRw311po7wWYed +iAMkD6xygsMaOCB0vPp+xSDRt8bXaU6NxO+lu6zbvwhx+K34TbVbJD+UD6Pf +sBAzH3Xspd8heNCv2n77KkT1gFiTzrsc+Gy5rW//N9KPyhT+tSaCd0R5Gve7 +EHMjPPpSHpD960evOvlDiAMtJx5sfUT0KjEor/ST+HtpzXXLZsK/zK/0S+Mk +j4MeV8k+JfP6pY+b/BaibEbLtV/PODDAezPx8I8QizLam1684ECh0qPpbhMk +f3rffShrIXyw3mLc94/sc3yIk9DGAV3Gm1oDMRFuteAbrW/ngGxsp6+YuAg3 +mJqGLe3ggO32etE9UsdsSqmf+ZbsR7C/KXmKCBep0yVGOjnw6LLsodU0EZ5j +5QQ+fM+BuRX5q2bTRSixa2tbfjcH7tpNVeom9bf+bXZRPRwYa/cXK2aIMKW7 +5IF7Hwekiot6gpgiPNCm7qLzifgpu+2ZLkuEF8zHBoQDHGhd/uPeBKkTc0VJ +A58J324w7t1mi9Bh20H9O1840HORepLIEaFQzvFr9jAHyiKY71dRIhzSj6ra +O8KB61v//JrFFWHa4tnRLqMccH/5eU4XqUXJyp6LfpB8Y7+2KeKJcPmtIlPu +Tw4UuzdFBvFFuG51kXbfONGT7PVaXQE5X6++sPE3B/KLy6f8I7XXQQO90385 +UOJQuuqOUIQ75ryyDfvHAfqGi6VJIhEmCwUBq8QoeG90i79aQoTyHV3pC6ZQ +0K35Yc/sqSK8Lub+kE2nwCZ12pduUq8Tj+T3MCjYf8M1oGSaCP18nDwaWBS4 +0Cu+7pguQo8zby+f4lDg2SgTZTBDhGYmKtK7uRQY2xVJic8UodEdvUQnPgXS +v+1rmkj9/MpU9gIhBVeVp/odkyT7y2g4xpaggKf2U2qtlAhVBy2UeqZSkOI1 +2SI7i+zTsPhOw3QK5sxecPojqUXs0R1ZMymQrYveWiEtQo03KmphUhSsPjvF +Imy2CNcYOw2tkqbg7qwKpWVzRLi/ame95hwKTBIPi1hzRdh5N+0UJUPBdYcM ++hNSt07WRPfJUlCMbeIZMiKM+Di0++Y8CtqNHdg+siL8wdINO6tAwXOFCcn5 +ciKU/nwiZq8Sme9p36JhUifNljrtOp8Co1y+89V5IpyihKitSvr/EbL/gLwI +ldOOjwjUye815lRZK4hQ4dtZzc8aFJSfZ48IFUXIetIddk+Tgl/1RvqvSO1x +1f9x3iIKAjuuJuQoEX7qL1kYpU3BS/cD3ZuVyb66Hc54LqHA92y6pdZ8EQab +1Usa6FLwjvX74i9Si/oTzs7Qp2DLr4vzb6oQPDdVa30zoCC4pb7gsCqZ19b2 +WbMRBaqT8gud1UQoo+IQWWpMwWD7e5ytTvhx9J5OwjIKku//9ughNXt63e+N +phTEa4eIlWmQ/droPDI1J8/DV5SHLhBhe4NuiYwlwYt2yM9EU4TbBE3pf6wo +oOupK7MWilDz/nDiKxsKnMJ1vj4h9ez/Lh+ttqXAQqvk1slFInzTNicndQUF +DXcSc3y1RDixZmFdkAMFm8++iVPTFuGq09/6VqykgKuQvXuU1NuXbp+rtooC +4Y2WoBuLRTj1af461moK5j+P3vnfEsLXr+cqe1woqG4u2u+gQ/xCdyv/5hoK +AmbbpkvqirDSiBFGkhtc5bdUvSe1clbYl30eFCx1YL8p1iN8GW4KdvcifKXU +BCH6Ilz8clJM34eC7Y1Ply81EGFzr/zZGb4UWL7/d4RhSOZp1LcZXU8B68WV +t82kFtFsJp9upCCb+UfnpJEInyxfc6t8EwVWnx5n+C4l+12yPT1pMwX/erVo +6sYiDPM9tjMggOC/XXXPd1I/Db7nZbON8HfoylidiQg9abNclQMpeN32Zn/8 +MhFmX0/0oAcT/Zw8I3ICESboKAd27yD7yf1TKm0qQsGs4WQMoeDW+l8re0i9 +jfWl5mwoBaftMyfLzET4Lk/5x74w8vsXb6+GmYvQMfXcUo9wCrw23Q83tRDh +5zD/FIMI8v493pZcSxH+/BUxKhlJwbbIbOkWUnfW9a0f20/B049Hfp21EqH4 +1vJ3L6MoeKK+sHuztQhditq3VEVTUFUX/VLbRoT5c4PEU2MJ/6cmPf1L6mUh +oQXBcRSknrVvvbtchPdWja51TCB4vbrfe8xWhEV+w1KahymI0KVNutuR/bkG +9/GSKKjV/DtPaYUI7Z7ua/ycTMEF/asOw6R+vX92yYOjFLQ+1P3vur0IDwuc +c4pTKFixLvJOjAPht4ba+YQ0CjICk4UOjiLE/wqr/Y9T8CpoywaplcQf7z97 +aZVBQdzbaY3dpJ5XUCGunEnBca2jKmVOIrz20HopI4uCE31vM8NWiTBkICe2 +5zQF4WFTZpg5i5BW1fj61lkK0n0mM3mrRbi5rdIkL4eCL9JtKm2k/sIJrYw+ +R0G/UlJjrosIN05MX7T+PAXrJuQ2bnMl+/HLqDMtoOCszEmR3hriP2NT3OYV +UXCO9f2u+FoRFvp5TxEvIfPq6sU/IrX95srr70tJv2obnTLcRDi/enI/lpF+ +10cqrXcXoSzNeVVOBenX+z/aAg8RXuFcXBx1kYL7Z/d//knqqoNyCuuqKKDO +b31701OE+opFclBN8Bl2aE/2EuHDEgcNuavEH2jq79Z6i3D8ibSV2HUKetZN +GVbwIfxynBb4voaCG4lt7GFS//hgch5vUPCYWaZRs06E0+3Of8qppwBd/nP/ +z1eE08xsjQ4iBd/+/o8DK4+n6nu7IYo7nXPPrSQiiiQyh8hjllKU9JVEo0xN +hlIypFKhlAYlpEQUSoSUdiMylFlRaUCZMlTI9D6/98/1ufvsvZ9prbXv1vN2 +WymSf2LptS3PJUAszLpuzjaKpDfuZ5m+lABNdz25DsRGv4VPyb+WgHk6OgE5 +25F/EnoFIqU4j/tMGo7sQD0+b5j9rQzjSXaFFTspon1pcMPLctSj1edzBe4U +ue8pxbtVKQGnJpo1WxG31OTXHX+L+TEwLrqziyJy52tu76yWAH5kse0BD4o4 ++OyLtKpF/Qrc1GnqSZGzyvFBC+slgDo75xzXC/MV5Rgk3igB+xwnTD4glnXJ +ON3ZhPqzcdr4LW/0F1sT0so/SMChBfrP9/mgPuzQrb3bIgEa5pfOGe2miL5q +EOfMJwnYajrPS3wPRX4f83fc0yoBf++2rK5H7KernGX3FfmLLjdM3kuRUnai +QPO7BGSM9Wr77KPI0doPp5h2zOe4zVL9/RS5sKGd86dDAmxvfjET9cV87Sy5 +3vBTAq4G5W2sRmxZecy0oEsCnGeXHU7ww/OcFwxe6cF8S8imefhTJO5Lds7h +X8hnnwtbdAKQX9VUwlz6JaB60TVp4QM4j0ziZuNBCTAILt1Zhfj0Nt7KeX8k +YMzLpOjqQYos7ztuKTIkASIR4lLugRSZHz3dvm0Y+3erQrjWIYpUcxM9S/5J +QO/5c38nEQ+usI1NH8N+v+voV3EYvxfIlEdO4Hlm/mNxQchv5gL+7iksGO79 +dWbHEYqE3tffZSfMgidmZSqawciHWhcqNaey4FmTSO0E4vKbi0xniLFg3PzG +sfIQiiQ0i7wemsYCXbk0iAtFPs1TdPogzoIg4RnTdoShH2NfHX3MYsHOY72N +GkdxHh5vz0zisMDWWPfBBGLpm9G7j/JY0FjRG1ceThFWwhzjHTQLNEqkTsUd +Q745NUPWmmGBfdnj8B3HKfLU8ihXZQYLdu1uPKl5giIZebs43FkscF7rEzeJ ++PjDt3P6JVmwmw7LqYigyCqVYv06KRYUWc9ovHIS/clfA/d8aRbEXVws5n6K +IkX/VqVcncuC0YtlxtqnKVIpPdp3RI4Fp370hgtFUmSPySrbLfIsMF6cVFOF +WHq1VaH5fBbcmPJR5VoUnq88qL1QkQVjonfOekRTZGmRI2EtZMGPFtaE7hn0 +G10HnX8psyBRUfjA1LPIvzfcxGpVWFB3LOZfNeKMN4JnD1VZMHCl8GRSDEW+ +rL4WeXUJC95MD53ncw79hdTEjmAN/N6v/aXBeYo0zzax26rFgothv/ZPj8X4 +DLxtLHVYMK0uQaUB8V2PEw6LlrKATf/uvXmBIt8vXdrN1WeB9Kffj/ddpEj/ +/ZtxAwYsCP5y46LxJYpo3smtaTBkQfmzKYGcyxTh+L2TLlrOAjVF2r0ZMXdy +PCAJWHD2YYNrehyeZ2z+JdyUBdpzHLYduILzsTDDeZc5C36ORe6zuEqR0Wzd +9lWWLFgjGnaaiafIuvK+UA1rFiz/pJP1BbHOvs8qM21Y4KCZ2ZJ9jSLZceId +/1ay4PTdnzOCEzD/BgE5n21ZUDzc47QqEfnYbvGZl2swvhePb0sl/W8eNQ+l +27NgYcF/wj8R+zyNCTizDut5/OXO/OsUqeDZhvuuZ4Hye+GG48nI7892X/9v +AwvWb5lp53AD968eqzRywvxUCtXL36TIdeMJloIzC3gVJdv7EYdLHNo43YUF +e7hek09T0O9pHijs2cyCj+a9KWdu4e8FYwtr3ViQJ+ew3iUV85dEpxdsZUHN +uiRqcRrq0c/H+onbWXAkpqbhH+KdV0Wbw3diP5zqSyu7jXpdMBDlsYsF4YOj +4XHp6EesItes8cR6hA15umcg365pkNfxZsH+H22bdO9QZKLhg9ic3Sx497HM +SfQu+quOpNEpe7HfZ6VuqUNsdGqxUMc+vO/KI343MyniXxIxq9IX66Ox9vz+ +LHz/ZBYsf+DPgkWhSkUm2Vgfi9cBVw6w4GDfZC91jyIqSflPQwJZUG3wSbUV +8cTr2Nk7D7PgquSrA9n3KcKu2HJs1REWPDTLrwjOQb4oXjhFK4QFhwPyF69+ +QJHMrF9Rs8NYoOpdelkmlyLXsp4smhLOgv9auzk9iN+9u/K+/RgLZp1VOvs4 +D/lwYeSVyhMYn87hOVEP0c+Vx3nmnmTBvZjOHOd89ANVZaviT7OgavPB9SoF +OK9WC+BoFAtWblYSGUWsszrH3OMM8svqf0VvCtEvjB7YaBfDgsnewZCrjyhi +5n4kbOl5FshNmbXGs4gimzPLCudeYMEv053KBo8psvvHNhGxS9ivB79zJZ5Q +xFx73eaeyyyQ2H5h8j3iS1mJb+qusGBZycHR9GKK6PrbWj+Ox/vtuCB86Cn6 +q7SdjTcTkL9EOgU2hCLPt/cfiExiQeD2IE2pZxRpr/qt7JvMgrDVq507EedP +O9iz8Sby5YmtZx89p8hjjaPPTW+xQKGuqOr0C+z/fVLpi9Lw/mObZju/RH7p +tkrmp7NAtMx6j8orioy9pu/8y0D+mXL03ShinnLI6693WeDoxTKqeI37G1we +fJPFgle1HbnXSiiSM3+L5oN72O8iUno+pRR5RX0/Gp/DghMvU14blaE/XqTU +Fp7LgstfT7tx31Dk4jUNJ++HLFBRfiv6GfHvCxKfHQqQX7b7Pcwup0iASWGA +0SPs3y1H9odWoD99Zy6n+JgFKb3d+vaVFDnmm9vMLWbB36ZXbPkq5HcnXvrQ +U/z+l0TXAGL2w00nW5+xgBJ+WvfiLc5D0c3AshcscGr9XnbhHUUuJ3QF5bxi +gbhzyJsd1RjvuWXn40uwP83ONejWUCS16mrhsTKcFy+Z3mm1FDlzmhr0Kcf7 +31Kk3yP+On5z+YZKFrx9mW2cUYd+acuma/AW85dQFHi4niKi/fi0rcb6CNs+ +XdWA76H2/84wtSyQf7OTmttIkRnBd+TH61Afylg+vxAX/DEua29ggVfj8nrS +hOdFyhx918SCf2XCK86/x3hDVto++sCC6YEbS7d9QP2jqxeltLDg9mPrdTrN +FLkZnid15hMLTvq8+ynWQpHeWVNkDraivmz/HdmEOJlfoLH1K/LrkXz9jI/Y +zwXf/1v1nQU3Y6QHD3+iyMHV0ed125HPDikW2H7+3/8HhZ/kfrCAM6vppGwr +zrvnHiNWJ9bTVHtHP2Kf0PysP13Ihx+MbF98QT5Jj9Ns7WFBZtEQXPyK73d1 +qbI3v1iQ82o7uH9Df7LFbH9ePwuWNkas1P+Oen5qjtr1QRZ8fbttK6sN5204 +fez0H+z/mNFjHxFvHvvz0X+IBXoj9g+y29E/tIvVuI2wYFO3R09YB0Wsp39v +WjmK/bzKUsvhB+6Xe2FAd5wFvqM/jyn+pEiNsZys/CQLaj9u+DqMWGMiejNH +iA1HGs+vLO/EeCzb7g0Ls2FfZQJJ6ML3+x7Vmd+nskH21mGTvd0U+fbO58xb +MTbcM19SZdpDEcdXmbOLprNhTmzRzhm9FPmV+js/VYINbw4osH4gXlC9wuM8 +mw1VHzyKHv2iSOf1XNVgLhukbp07EN2H73E/Q1FPig0zSYKxWz9F3qT/+LWe +z4Z3M84xWgO4Ppn0mAjYMOXc7kHRQYrQxeUTqjPZYCKj/7kJcaAbrSAlyYaT +qYMNd35TJKg7bqOYFBvOzU7+EPyHIiYlHrcG5rDhyzbzTvu/GK9jpMhnGTbs +920VXTCEejZF1L9clg28pQdVhxGLqX0ayZ/HhqmJ3C3lw8jf1nPPpyjg/nGp +1xNHKFJbWGF0bgEbLGeZde/7h/re0zd2RAnPY3WYWYzi9/bn33oqsyHD/WKa +5Bj6YfuCvA0qbFg8135WN2KbzZ7Z5qpsCJCXiX06TpHzHdmPNZawoXLXmFTs +BPb35piPczUw/rb+rJ2TqD+6DJ+thfGfnbLGYApNzL8YbxzRZoPDRpVRjhBN +suplHrbrYn6X+z/4gljiVO6COj3Mv9aXA3nCNNm8n5X+zIAN/2nstz4lQpPz +Eosg25AN/uoqC1ym0kS0fFbXteVsOLOIx9UQpYmLWkv6aWBD7ex5IqJiNEm5 +Fxx00BTzM7Jt6nvEam/Ftu00Z8PIiw905jSaeE4PcnGwZMOLgJMqYdNpsr25 +zcvUmg1LuXvt14vj72Urz6jbsEH+5IVwZQmauDvkvZy7ig2vvg4/G0esNqnM +46xmg6jMdXYNi8Z5u+8zuoYNObrR21LZNHldsrb1pz0blNRfvD7EoUl3/wz3 +pnVs2C1hobuGS5PrDsLCJevZYFAyI0eBR5PkQNn7eRvYsMBDz2AYMb/Lzy/F +iQ1Wg9lVFRRN7mhLrIp1ZsMOj5A9yTRN4r+1Lz3qwgadd+nSAXya/DzO19vn +yobuxZoNNgxNXmZcWOW2hQ17js+5Jiugyfuvfv5rtrFhY+uu3b8RG5JHOct3 +sEHfQsa2bAZNOup9pqq5s2G4aJle4kyaTORf9JTxwPW2JUt8Z9Hk6Jh+G9uL +DUPCL7SsJWmiZLDVb8ybDZ3tGuYys2lSMH2mZPduNkyIzNoygHhEyOVd8142 +iOz0P10iRZOlZHlC+X426M62I9fm4H6fnwcX+f2vfhnC+6Vp8mqsz+9OABue +pJ2wt5KhycOH70LiD7LBNenHXem5NPl11yMp8hAbIuVqBQOIm0Je1B4OYsPs +ZStOlcjSZG9Nm7R3MBseTdpKJMjRRMi66dCmUDYUh3y/vH8eTVKP3ehZdZSN +fo2naS1PE9clq/yNjrEh+V9Nk4wCTab9aqHVTrChZY5G1CDi/7w3vZh7kg2/ +zVVXlc2nyYBdzSneaTa8Pv1GMmkB5t/acseUKDbME2EP+CnSZNXk0/X90WzY +8PJ3o40STcbkrZy/nsV5bYt4I7eQJhbbvvnXnkN+Ci4t+4v4555rt17GsuFz +WmF9hTJNhEcDO/MuYn4Pbe69sQjX54ebp11mw2P6EROoQpPdTs8exF1hw/yI +txZrFuP6ywZ6p+PZEP03+dgCVZq8UxyqPpzABs0g7XejiEOfTYT6JCHWOb2w +Ro0mSXJOFq7JbNAwTo2+vYQmVRMcWfubbDhfEDkZrE6TeskFXLNbbHhAjILX +a9BkUiWVr5PGBt8DT8UXa2I+huIWK6Wz4eg4c0NYiyZzlolumn2HDYZ+y63e +I9YqHLjOysT5GjcZydbGedT2GB3PYsPVJ/MKTujQZHDvXq++e8gvDa3hLro0 +6dGm+r/msKHU5+gm7aU4z1Z2UfW5bKBvi5uy9GjyYo+eUelD7N87gdpfEQ8d +fCdSVID8k1ivVahPk3uqcq2Zj9hQcVsOYgxoErBxSc31x2yIGHBxcl9Gk78V +oh9ii9lwKiUmZLkh9qfDnaEThA2ZP4pyZhjRxO65ksqh52xw/Pl1oBuxYcdR +P5+XbMiqng4vl+O8XX5Z6/Ya61OpfjXemCYlab+tHUpxf4nNQr5Ak+YeqTqr +N2zQzov1tzGhiZWJsf+yCuSLsbq/80xp4nTYY/GSKswfd8HxEcRD/skj8u+w +vnMi5KrNMH72r5aZNTjv6ydKb5vTJFpmY4NEHRuCuqKDQy1oYnyis22iHvWF +1jf5z5ImlYq3WYONbKgZFqbVrWhyqPWqVcd7Nqxo6O2ZZo38dOnNleZmXP9p +svEz4kuLjYXffcT5sdB/m78C+erklLCXn5EPTRNrz9rQ5GnMzJmFX/C+LM02 +95U0uap26lnmNzYINQ2JwCqaCFa6hd9oQz5oHVgiaUsTxZqbzpc72ODsqujR +h9jxnrNN1E82DEZdzC5djfxZe3ZNWBcbvFPMRJLX0MRGxdoroIcNRl+0tgfa +0aT3dlSC1y82lId41Njb06Rr+Y52t3428J902C5aS5O3re8tHAfZ0NRwv0F4 +HfLDsYGilX/Y0MEq925GHCuXb20yxIb4eF0q14EmMzKXdOuOoH6/HiJR62my +eP721MWjbIitoEN2ONKkM3TTAflxPK8vwmb5Bpp8fyrnKjnJBjt/F4VZ/9Fk +4ecCF64QB0ITLor3IX71abHvVBEOvMrUGi91osmZp8eS/k3lwNQug4nkjcjn +4aVf+8Q4MHw1i33YmSZT1acYdUzngP/U8wsdNqE+lWllfZTgQM3uH/aqLjS5 +ucFLt47NAWv5vJNim2ni/DWr/g2XA9XuoxWfEYv5iUU9oziw/1Tx3EJXmqyQ +PORUwOdAcbVQ8Hk3mjxuppdnCzggE1Xa6bUF56myXj91Jgc4ojN3WGzF+MYq +VyVIciD8VE/33G00qT0sfOCCFAfc3NceHUZ81uVwQaQ0B2J6rBbUbKeJ9UOg +w+fieq/q+js78D7XNoYdkuPALY2B2OM7kd8Uq6fvl+cAfS7T1dUd9XPP3TSP ++Rz43Symr78L++Hcb5ctihxgdgjJMR40mZJ2X8VpIQemhV4X9CBOe9tF2S/i +wIGwjpklnjSRX3SHs2IxB1KK3ysme9FEu3FonokaB/KiD5kf9qbJj+H3tvrq +HIi1qNyz3ocm2Q+czmlocsBsef3tJbtpUrQ4pFtZmwPm7y7+Et9Dk7LTa13l +dTkwfT3f/DviaUPNP6X0ODBDaXVq8V6azIpXiGIMOOCXvGrmlX04Tzc0LNmG +HGDL0Rd899NEchlXUnQ5B7omE2VX+9JkX+wzoQljDtxMHClY6EeTZ83rRIZM +OPB443w3EX/Mr0WldJ8ZB4Jj5Wd8QvxUVHf1TwsO2KQPNRYEIN/YXbr81YoD +s8dTb8ceoInRpr/DzSs48KJPK2L3QdSfrZv316/kgF5Hsu+KQJoExjeIvLXl +wIDZb5/5h2jyycw9s3QNBwK81AImEa+Ik9zz3J4Dfc/XRX04jPPQOGD9eB0H +Su6538sLoslJ0wmDh+s50Bzv8zXmCMYrZWZxbwMHWN275L2DabLlRpl7hhMH +9CVc9lqFIP/IXb2R4syBH662FfKhqKcfHv9JdMF4NhjpTiDunm2w5YorBw5u +Us96H0YTaqFUW+wWDgx+UNbOO4r6Zrcj7Mw2DkwB1dKYcOyHVgXdUztw/YiR +p/cx1COlzSLH3DmwMcBVyvo4Tdb7S/8M9uDAIsWLTQonaKIj7d4R6MUB38Cv +KZOIj+y1nPDz4cCDLzYhzRE0WVDyXHXvHg5oVVe755+kyZoD3/299uF5RYc2 +x56iCffDg4advhxYzazYtuc0TS6v0Lfb6s+BntUQsDIS/cW8I19dDmC9vm27 +rBRFky8kItopkAMrrfNfi0SjPp7YYr/+MAfW/zaa2orYqoavZn+EA5Zuo2se +n6EJTE9RsA3hwArRwfS4sxhvlIzmijAOvHNZyPePoUnMqwgni3AOdHxPPGl/ +jib3pbqumBzH+Zm5kaN2niYb/qwZNIrgwLE9LtclYmky/1nxDoNTHKjwuWvS +gfhup3G/biQHJGJs+l9coIlva/NFrWjs//XLsq9fxPzz49epn+XAXuOjh49c +wnh/H1+keg75qEreceNlmrgNpUgtiuWAynE546VxNNl2fsp8pYsceNoerCu4 +gnxrmGw5/zLOxwETw37EU3efPTrvCgcyirzsqq4iXybXNs6N58AbfSHfO/E0 +KV8XYCmdwIH4g6IpJ6+hvxYOrZqdxIHSycPfdiTQxEB1ZM+sZA5UbtilYZaI +fmB956IZNzngJVEVLZdEE7NJ50n+LQ5MJN8bHkf8Isuxh0rjQFM6s7/5Ota/ +8+tvbjoHTLL+jRQk02T1MvGZnDsciDT0iLl0gybHVWrsWJkcePl1q47fTfS/ +lpa3xLM58HVJ1w/7FPSfUruZ6feRb3NF7yy5RZOgpWvjxR7geZN5hzmpNElQ +HTUUzePA+VuTG7sQe8XsGxbJx3iWtluXpdGk7veTSuFCDuSv8LFIu00Tzf4f +j4WKOHB6b5zd8XSaPJAZfTXlCfKTiZfntgzUI8H4j8liDmiv+3ne5A5Nnuwf +WjBJsF5GM9/I3sV5rBsImnjOAaPLf3gTiD+/H+oZf8kBndHT21syMb75vMDx +1xxQEvlQ8igL7+9oMne8FH+3ade/ko35mHn549gbDmz3fvDowD1874jPzh+r +QD4Vs7BxvI988f5txlgVB57kJ/7QzsHzlrwsGHuHfCzz8iLzAOe5YKJ1rIYD +hU0F9gOI58mfVBivQ345FSpdnUuTA9IeoeMNHPCumfs3O48mCk4ZQ+NNHLiz +/vKnMw9pkhjpcGriA/JTfk+9Tz7qscdenckWDjjEL2hZVYD6ky42NvkJ9SzN +tF+lEP35VLmPU75woCjcegbrEfpFnVdNQt84wG0wsO5EnDIy0SvcxoFtVjKn +y4rQX/IaZKd2cGBD2OCH249pMq67zkv0Jwds1Z4ZnHxCkyjNkGqxLg6cHDmV +7l6MfP5669rpPRy4dNZeyeopTZQLxXrFf6HeJszJVSTop6p9U1j9HFhb07VG +7BlNLn7I8ecMciCi5dW/NsQaSRVbeH/wft6Zua+e04TVU7aLHsL50E49cusF +5iv2wWlmBPnz+4P1x1/ShLf9fMmMUexfzQ+GO14h1twjKzmO/PNOWsviNe5f +s/a81CTynV+I3oISmuhLW8rJCHHBqF7UVrSUJod/2JfJinDh8+0He9sQc/kh +0fKiXGhPi7r5qgzfG/4N3gumccE58kLbrTeo9/1u7gvFuRDFeat7opwmpu5K +R1RYXPD5aXx5ZwVNMgs0s9Q4XJjR3ClmVUmTPW8i/2nwuJCbVHtcqYomdPiy +rTo0F7b8GWemv8X7vbFp02O4oBTvc/8H4oORz8MNZ3CBZ6+4uewdTURy7hjB +LC44NalIZVTTZOtiHmM+mwucwbC20zU02dj5R8R6Dhc0ti8mXrX4/add1CoZ +LlB9ahmr6mhybmyvnp0snu8cfVO1Hv2Gwawgh3lcMPVZeZfbQJPnMdub/1Pg +QmOX98tfiGuHtzi6LODCw6Q/Xe8aMZ7dkj1blLjAXvtTPqcJ+bwvJmmnMuan +YqVH7Hv0p0fqfLxUuFDULPfU7wPylWT3hr2qXLhr4z3fsRn16WWri/8SLnxp +17iytIUmbyKKQg5pcOFrsL/M7I80MfE8/iREiwvfvhjc/4f4hb/VrOM6XDBu +Pe7Q8okmH/Mkok8v5YLJyo3Tij8j1muaG6PPhbA/RWVJrTgf3MKKi8swnzlZ +8WFfkH+tH16KN+KCnqPukW1faVL9ryko2ZgLzx467rb4hv25bFFImgkXgjKY +PUrf0b8oPEjINOPCwPR9IeJtGM+boKYHFlx4mbE/qQtx4uqYJY+suPDCQ/pt +ZTvOT+XfG2QFFy7J7efe68D+31moWbIS85FxwOX8D/SPhl8+Vdri923qj/1+ +4nvJ70Ba3RrcPyt50YZOzK/m8ahmey6saqu8rd+FfJfMnPm6jgtTPAp1pbvR +z3Sq3P25ngu/pXbVTSC2Nmhs79vABZuPH8O+9OB7/Onc5cNOXJgZO9f4ZS++ +HzJYOZPOeJ6cGjvtF03mqqWZTtvMhUAv6uepPuSDkH+/uG5ciHAqq/fuR/2o +5z6auZULoTWbatYMoD/c1XN97nYuPC2u+qQ5SBNdv6QUxZ1ceDtNYXTGb/Rv +Omqv1HZxISDORWkEcXn3DeGlnlxYs+notpY/yFcfxFyMvbmwAC5mP/2L9TbZ +Vme1mwuPNa6ybg7RJGLXs112e7mgJnfxwIlh5MPLi6Sc9nPBd/TUoMcI+pFZ +t39s8eNCSG5QiO0/zKe2WZ1nAPaf0b45GqM0uWUk+tH3IBdsT3uVCMbwvXZ0 +SPjIIS7EnNkTPoy4e72C5YkgzK9x2JqWcXwfsM+nng3mwpyLKSpkAvVsbNX8 +K6FciD/+cVbKJE3yg12e3jiK8yWhLjg5hU8EvyoO3D2G+ZG+LuctxCcmGSm2 +D09woSZfw8hOmE8Ceb1ATmJ/Nv7w0Bbhk/ehOfZvTuN8HSpLlZzKJ2+2jIbU +RXHB+1rj4BjiaZI15Z/OcMFl+Sz7L6J80scCnZ8xXLByiyp+JYY4bfXjwfNc +qBVZZpgxjU/0/pu2ZeICF+6oKL05M51P/CJ9FcQvc2F/s8MuX3E+qcm5JiK4 +gv0iWTrzPwk+MTOJEpKN54LCj2P1hiw++XpnpcyiBIxn7dmUeWw+sfP87qiT +xIW1m7vCxTh8EvrXNQuScb+ZCb5diHUrShRW3eRCy7Hbvu+4fBLjsSB/wy0u +yOXRx/J4fCK55uiubWlc0M5tSblK8UnAZMfSPelcaD7LaQih+cRy0nXB4TsY +/4bbs3bw+YTdMKgekckFTan7HjYMn3A4mRtjs7mws1OlYomATyqXXLyRdJ8L +Wh+kjWfM4JPx8rzpdx9wQXQ84vk/xOb7JaML8rhQ577PsXUmn1Tlvl7yKh/n +Wf3jv1ez+IS78E1fdSHWz+dt9h1JPlmxbfG7T0XIV0tX+Z+bzSelk38ru55g +vLc3rDwgxScFcVqdw0+5cPT9Hw2XOXwyt6JrvthznKf2Rcpm0ogNlIOZl1y4 +0vNPXVmGT2SP//kj95oL61ieK3hz+STEfmOUWikXBK5B+/8gvmC5xcTwDRfW +i+vebZblk1scwQybCi7sU4n/+0yOTzTWBk37r4oLbR3Z9rfn8YnB85uSO99x +IXbrwSdn5PmEz71g7VfDha1kWN9fgU+0fzhePlrHBXclnRLn+XyyU/Tv1HMN +XKgs1thhuoBPrGQOn0tq4oJO9gCjrMgn//38ZZj1gQvK8kG1PCXs1wWbpz1p +wfyY1tz8i9j77Nu+8k9cmGo4cuzjQj55/MN25EMr1sPwT8BLZT4ZGvwq1/kV +87/vTeCdRXziHhDnPvKdCyckjkSfV+GTjqUHK6d3cEFan84JXIzfC0etlfzJ +hUK1yA43VT6ZuPHxr1IXFw7N/aVqrcYn7R0Bj5b24H0NTY4vWcInh29sSbD6 +xYX5T4/3zFTHeqamJW3oR35qITsnECeVrX3mPsiFkvK/fW0afCLU5i188A/q +T4lKVKUm1q9mcuvJIS6UTd+ul6fFJwf2zvgWN8KF+vKbf65p8wlJyD+aPsoF +e9tfL47p8Ml9wz6TR+NcmF1uc9Nbl0+iNcrkyie5sPrYo1iHpXySvm2VbIsQ +D7wKTS8a6mF9Hocb9YjwQOxuR9p8fT75pRh4eEKUB58TM8vZBnxy8Zzue950 +HkzWx035g/h1zyvHeRI8qLiUaflxGZ9oqmn81mTz4L5SX8IrQz6ZaX30vjmX +B3bvtotlGfHJmNaLM44UD8rf80IvLcf56h6P3MXngf6ZPxIhxnxy1Mcw/ZCA +B0N6UmnuwCd5+Sfbo2byoE7xqIOdCZ9cqeg2S5LkwfVbGoy+Kc7/vf3P7kvx +IGqq6rd5Znwi4znf9aU0D6pjD76UMOcTFRG2TONcHqy6JZk/iDg6Qmv0pxwP +8iPpohYLPrEXvTUyJs8DjXj3d68s+eRttKcktYAHBsqyQ1lWfNKvdWaDghIP +XKMMl8RZ80kbRypfV5kHe6RfHgxbwSfLtCWX2qjw4JHmo1pPGz558ux8o4sq +Dy4qK4DDSj6pq42N27eEB+mbRIqNVvHJ1dMLDh3X4MG7ha62Sra43/S1QVe0 +eODdbdBLrcZ6+iokZerwoE0s/vo/xO39N78+W4rxN4Vv/74G+TTro2WDPg/2 +vRzRr7Ljk96GD+Wdy3gwslhoXoE9n2y9cmvfpBEP/gYkzr6xFvtRyVpPADyQ +n96gELWOT1LyK2SVTXnQYnXXOMCBTyDEaOFyc9wvcYGP23rkm/wU+3WWPAjx +t7xr48gnvxPZ13ZZ80BNjxnX3sAnHvtDpgXb8ODB2hhX2f+QT32nXYhdxYOT +ms9rxZ2QPzuyTNJX86DIMtPpN+IOJpR6ascDj8n1/Z828omD6fEp9Wt5MFxJ +rpY584ljcSnd5cCDRQsG1udu4pOFjQ7mQht4oBrYK5/kwie+H7XiZjnxYLPx +I6HTm/mkdv5ejpozD8x7nQb8XJHvpgpSzF0wvonq365uOO91ypucXXmg+ENR +fOUW7Je+Ip39W3gwqOiyRHcrzkd+nfqpbTxw1w10n7cN83c62Pb6Dh70x4bc +Z29Hfq98EZnvzoMZxX6cYcSNbVldVR48uKXtgg9C5CsjG592Lx7MDDQardqJ ++md8nZrw4UEtRyr6kTufsDYW1c/Yy4OHAUPqqbsQT956rLof+0v/Q/s5Dz5p +TvZ8ZeHHg+zm11lHPPnkRwHT5xKA8bY/O+nhhfl5cscw4CDO05e3fuu9kd9U +jO6cOcSDdU5/9pv48MmMsJplaUE8uNqkG666G+tlHND7NJgHVd1xt2bv4ZOD +3ZovmkLxPvPlPoju5ZPpHOZR/1EenKWq5QYQm6vMq5U4zgMbk3uBn/ah/ta6 +c+dH8ODuiuff3+xHfbrQ72V0igd9T1hb8335JHiytMsxkgcHtc713/TjE/GM +4ei90TzogA2xMf6oByqRa0+f5UFy8FarIwF88lA6Uj/lHA+mncjneB7gkx1z +RMyKY3kw2r+x3fEgn9Al47ubLvLg+2b7arNA1L/nx58MXOaBg2dSlfoh1M/7 +t9Q4V3mw5sGKTzKH+WSK0a7nStd4oPzBYQorCPmZ13TQNJEHH0JfaQ8jDmuc +tHe5zoMDNtcPtx3B/Jh32h68wYNDzT/raoL5RFj8hndsCg9EP6QCCeETwxaN +rKxUHmzvaS7ODMX5D0jhv7mN+S+OXhMfhvMXO/VqWwYPnv8lAyePYrwDm8yF +MnlwwvTQ7YBwPhlZW0DLZPMgeHXx3u3H+KT60Dxh/fs8+FJ6buXa4/i9+s0Z +6x/w4PKWET04wSdKy61X7cvjwauyET21CD6Zv3dOanQ+D1ofXF4pfZJPEi8p +KWQUYr/VNe6VOIV6En7gxesi7J/PxbeHEf9iz4z49gTzG20/2H6aT3wkuLun +EB78unjBrj4S9WCD50GZ5zwIy4kiL6KQL2t0Ug1e4rwlLjfLiUY+3HR4aMNr +rMfM7KbrZ/jEosnC278U+6Hxa+jZs7he9frU2Dc8ML3xaVlwDM6f5UVyr4IH +A7pp4j7n+GQTV/16VRUP2P+ZdDqfx/nzP3yz+x0PNMvuf7SJ5ZPFe46+kajF +/daMf9O/gHz8a80M5Xrku/sLxxdeRL791Rtu1cgDkq+nLHkJ/Z+n58yd73lg +oqK5a9plPvmyubLiWDMPeI2zH/1FzKmST7v5EfMV8Xtuexz6uSL/W88/oz6w +Si7VX0G9WlJd8uULD3LVL817dRX31wKu0Hesb9nOp7nx2F/1lQfl2nlwJtVo +b8o1zP/849PgBw+4CbLaFxL45J/WvkeunagfYTTrWCKfNEklnAvpRr5Qkfzj +m8Qn3/uZ6KRe5PN9egPbrvOJcn3r3ad9yMdqB4QdknHev3P7Pw9gvZa/X2B+ +g08UTNKdpvzhQfHhbZu0b6JfoYva5YZQP19Lpc5Pwf4MWhNnMsID/zERkRm3 ++ORv1r7dW0d54DJlvq9oKp+kNiz2CB9HfsgN+fsHsciCqJMpkzwYG50T3Z7G +J3vdbdu/TqEg9sm4buNtPmkQzbk6KERB/2fl3yXpqE+nA7dMFaHgzspbLwsy ++KTwYrrBjKkUtHb63U6/wycPXlspKopSsD49IenqXT559NRp/lIxCmT95mdE +ZiLfzG/Ttp5GQbU+tzQoi0/Srvza4DSdgvJO1xGfbD5Z9zo42lOcgqyDc5e7 +3uOTtWvj6g9LUHCzYfUlu/t8ktthoh7NouDWyB8h0xw+OacRlpDIpuBDo2SY +1gPUhxZnmXscChZ5PGYW5PLJ8OXG7GdcCipT2wpn5qEf4P9zqOVR0BV5xXf6 +w//nG3YbRUGL4CP8+x+mbBr/0hQEG+fN687nk8l/R3OnMxQkspRmfipAPvYP +TJESULD00NK57wpR73S10hbPoOB9dJf+80fYT//yHi+fSUG7jbVHbhGfbAmc +1mY3iwJu/tq7qY/5JHmfqtw2SYznPU/kyhPks2TV3f6zKThSdMwnsphPPpRw +3kZIUbDE/WHXkac4D2m1plfnUFD0I/3IXoL6Iny87K40BTG22xW2PeOT3YlK +257KUDDvVmfL+ud8ombyjFczlwLRKaYZ1i8wHzkb3n6XpSB5757IZS9R3x/3 +JQ/JUVAicTBU7RWfPF90PkJCngKF726n5r3G78tMQmUUKChklqQKSvjEc6do +lPp8CubndDRMK+WT7pqvGWYLMN73Z+eMIrZt/dziqIj1SF3s11v2v/eWsLyn +EgW9Oi9av7zB/lhsd+jIQgqE0v7bUl+O8zPrbVuMMgU7pQb+lFbge+Dfse0p +iygIyLmQ+LgS9eHegb/5KpivWAvne1V84sJkxpcvpqD5i/jilLd8Uiak4vBZ +lYLvr9qpuHfYTxuHZAfVsJ7uX8SjqnG/8VmTYuoUHBqYmBlawyc6Vef7pTQo +CDlnrudXi34322dITRPzvz/fZ1cdzkNEFmWmRcGsV5vyN9XzSbGRs9EGbQr+ +FOrPsG/AeB4FHvHSoSA/fF2ERSPm+yevOkSXgmOO2RyDJuTXhwp6F5ZSsGbX +2ttq7/nkJ7co57YeBSf6TDYofMD3yrdmeKJPgeXCcCnJZtSbBVFfqw2wv2zm +DLBb+ORjSfXl9mUUhMXyPgl95JP4pzluo4YUhJrs+PQXsZyIjhG1nAL5C/MG +uz7xybfTm1UXGGN9K1dIf/mMfsFOR8MAKFBb8s2poZVPztg9tV5jQoH95MCd +8i98cjtC2G+7KebzWDD/2Ves75+pDwLNKPAVjYx++A3fW1crRM+aU2BbKSNz +9zv6hYOu3ikWFNBKhs+S27Ael160F1pSMN2tK/ByO763hib83lpRwClRt4ru +4JNVt2bNarOmIOIurRz+g08+3WYq/62gYHxrrGzgTz45xRm5RK2kQH950aI9 +nfj+ba30U1yFfBF7xmZHF9ZHPW6noS3Wv4gf4tyNfMHZ7L12NQV/Obal9j34 +PohccGLXGgpU2k0VrXv5JOrx7wfBdjgv10filv/C+c6v/nPBngKH+AA5nT7k +uwvPV95ZS8FZ3aePVfrxPt6Vec/WUZBT2+QjP4B+w3lYq8kB1zeUas0exPdd +0IrXvespOHXzApf6jXz/67W36AYKptwwmRD7wycn6gOUpP/D/QzqhScQG9i5 +/tV0osCr0UH6z1/0c+En3q/YSEHC91c23UN8cuTSwDs3Zwp+vVU9820Y+T07 +veXAJgokxc+3fxjhk8CR+2NnXLA+QsPrav5hfRJpjdTNFFxU2dFQNornV1QF +PnFF/hj75PNsDP1ozq+GOjcKXnZ5ShWO80lL6CHr7i0UXNrLbbk3gX7C079K +ZBsFq0Xf5tye5JPMm+275mynQEIxJ/H6FIYMba2bpbWDAne7J0lxQgwxbDVv +ttlJQYHI37wYYYY8Xr/8wVZ3CjY+2/LlpAhDxCdfJx3ahf3MFpMPm8qQN7Pb +rp/3oMDE48eBQFGGvGxLfJjhScHgZu63fWIMYaf8a33uhfn1P7LNcxpDflye +kG32piBz6bKRrdMZsknsvu+gDwWl6rYpzuIM8dWVbGHtoWC4t2C7gwRDuvYa +OM3fSwEROmZgy2KI25S5XYb7KPD592CBJZsh+zXKzq3fT8E+79WKxhyGnF1r +arvbl4Lb3f8Z6nEZ0vvgrEyEHwXC/PfuGjyG3EvLF77uT8GkX93tRRRDZI+S +sYIACnbcs5tUoBkiceUeq+YA5sNtnZcMnyH65meWdB3E+ih87Z7JMCT5o+uu +qYcoyIgTPkYJGNJEVB7KHKbg89ZH6hIzGGK6clhyaRDOywLeoMhMhsS3lMfY +HUG9Oi5WPo5YseGujGcwBXYqqQVDsxiyPD75aXgIBbufDhb1SzJkPOZeQEIo +BTN6ftd1zWbI07mtpvlhFPy3JVukXYohxzJ151cfpWBq+ULr1jkMUbn9SKor +nIKkDztvfJBmSPvh/Yqix7E/zfbw62UYEnp5u5XsCQr2F1jFvZ3LkDqvy0f0 +Iyiw6v+j9UaWIYe96LJ1Jyk4fyuk7aUcYtZ75d2nUL/Pdt59Oo8hO5//Tjp5 +mgIPL8PTj+QZ8m66l8rNSAqu/T10JE+BIUecTCueRKG+9N85cW8+5ls97GhT +NPafdP2tOwsYco2jtnrwDAV7DMc+pCoyxGLvmiXcGAq2zlRSvKHEEJPmrgXK +5yi4vs85ImEhQxbVimuan6fg9KykiThlhph/yl7nGkuBcu1Q5IVF2J/Hv58+ +dIGCr/u8lsSoYL+szWq8eBG/fz75I3IxQ9bVMAb3L1FgcelRQYQqQ7xi5+RU +XEb+f5qcGK7GEGPFCuMfcRSsFRRdDVmC/Smz+JvIVQpUPdmZh9UZEss2vSYb +T8G2q/H1BzQYohMp8Fp2jYKTIbsFfpoM2a2RsWZDAgVGf0977NViSNUVcRvf +RKzHx7913toMYW3R33g2iYKjggJHDx2GPFkAoXeuo16H1PXu0GXIxpPzH5ck +o/8RWpuwdSnOi0oP5/sN1N8w3a2uegwpzr3uPyWFgg0/Iow26TNkuMxiUPoW +BXWyq5Y4GTBEW/DthH4qBU6CU0sdlzHkyvIQdcc07Ndcc8d1hgyZ+leub/9t +CvT6jkXaGTFk7c+qV2fTUV8frWm0Xc6QxrKz9+9mUGAodkd/pTFD0m08H5Td +oUCm/FqONTCkQ25HeftdChqmqJhamjBEdWrEiEgWBT3Jzj/MTBmSldlgNC8b +9S1D+5aJGUO47zfGLb9HwYTk44PG5jhfZlLim+6jP+wZ2mpkwZBzmXNiAnMo +eLKod9syS4bYNu1QvfwA/VRdymF9K4aUREy25uZSoDUwL2OpNUOUj/7KqMnD +/oj0+qWzgiHnzxpG9j1EP5IRsVLbhiHyh3rCuAUUfNsUVKy5kiFWXPGziwux +fvfWWGuswvOkLuXYPEL+zZv2c4kt1nNPfPeuIgq0QzKuq61mCL9V1ijiMeqd +/PI9qmsYMsdkUcqtJ8gHuaUOi+0YcsHj2byXxchPdnb2KvYMuaHZnff1Keo9 +r3n7orUM+XjgvpvQM+Rv3p6zyusYEjdTUl7uOQXhe/jVCx1wfa/iv+UvKPi0 +plx54XqGXPry/YfLS+TbuqQrSo5Y79r/eoNeoX7PuySntIEh8+6ckrj2GvXd +NbdY8T/kB7tgo6ISrGf+FD9FJ4a4ZBpFfCiloM8hDBQ3MuR4dlXHSBkFuTsM +5ys6M+SEhZ7r7HIK3GbrySpuYoijW1iPXgUFT5MPaSi64DwP3jv/XyXqs5aE +s+Jm5I/flasPVlGgLtITr+jKkL6Nn+fFvaXA2kb5t6IbQ37KdbMK3mF8pq+2 +KW3B9aaj7KZq1F/lkk6lrQzhFDMLhmvwPEOdUwu3MWTVBUMHyToK4h7PMFbe +zpDppUFX9eop6OjezV60A/l9c/PQfw0UrONb9S/ayZCVm129Axtxf9+UHhV3 +hnyt5g1facJ5co4WUt2F/fhy8Oqj98g/zHRVNQ+GXDXnr2/+gPrRKbV3iSfy +5db9imPNyIfqFW/UvRgyS30OT+YjBVG68kaa3sjHzxne8k+on/YKJVo+DPmi +sU3R9TP6o8b6XTq7kc8uUetDW9EfyIH80j0MAbZCfPIXClgndw3q7WXI6L3k +4edfMR7P9S0G+xiy/lasz/dvFOxS4nw03M+QB6wp/0TbKEiXvfRnuS9Dbk7v +TVBqp+DFw78LTPwYkv1iu9OKDgourNXZbebPEGan12KvH+hXNv5XZRGA6+eI +z4r+ifqov9PS+gBDlvItZmd3UlDrvKPB5iD26yFFreouzO+STcG2gchXEbnb +B7spMF9gv9zuEPa/z9/MGb34+z2bmesOM+TXtkGu3i/Mn+UaMccghljeyonY +2Ifvj807uE5HGCLqs0zySD/q6b5YtU3BDKkduUCSBrC/xz/vdA1hiF/U69Dn +g+h/Q+zzt4Yy5Lt7439tv/E9d6BXdmcY6l11lfX0v7je48l1j6MMeUXn2qkM +UTDw/qW+Tzjy2f4ze1cPo97Ysbr2HmNIp/GO2/tGKFi+/nKu33HkizLj4Qv/ +KHjtv+fSwRMM+ea2wK1glIIHxldjgiIY4uwk09o8hvpiNvdm6Emcf/ElByfH +kT8Z4apjp9BvlG1ZqDCJemqxij51miGtg4/7LKfQMLJHxCc6Es9rt6r2FKJh +lqral3NRDDEQlnhzRpiGEslan0vR2M9pEs05IjQsrR7mx59hSJSh/dTGqTS0 +/731LuksQ3YotVmMitLQs/hLakoMQyqrK5Nkp9FwRPL+xfRzyO9pfL75dBoE +W6QTss4zpGBW0bVd4jTE3VN+8iCWIYHnq4yjJWhwf/D5T8EF3C/SYfQ+i4bZ +khZWxReRbw46vG1g0xBw1u3+i0vIN9X1RaMcGqhKPe2yywwpp1qJHI8GvxN1 +b6viGBKde+iTBUXDbV+DY3VX8PxlmQIvmgahNfvsP1xlyNjCkG0xfBr860OW +tsYzJHjK8Js8hoaZr71126+hPq2QXdksoOG/r8tXdyegf4se+zZlJg07e8eC +BxKx350uX1ScRaPfySwdTkJ/YDDkukqSBuH+DSqT1xky+FzBbP9sGq4eFk4T +vcGQBSfmG8dJ0RAhk7uMfRP9kJSQQ/EcGupSfX/yU7BfZj0L+y5Nw8OfVvdm +30L/JeVdKjGXBtWipTFyqQzpfiq+UEOWhhUDK04ppTFE73by9Q1yNNzZdTxe +7TZDEgOWaQbPo+HMv77XOukMsX/3qSVFngbPE7EsowzMp0vs9XIFGqb1+HqY +32HIxVK3IwPzaZDgX2ldeZchb4tX+85WpGFZs/i+dZkMmda3/Sgo0TCkXinl +nMUQde6dDPeFNDSP//y4NZshd6oWdp9RpmHvEvdHnvcQ/2izfLiIBvO8lff2 +32eI1szORx9VaIgKS3x6KIchcgIja1FVGuad2vnj6APU5+T23sVqWN8XGYsi +c5FfQnuzHJbQIK+8/0RsHkP6/TedDFKnYW3+i9H4h8jH1nqHUzRoOOWdejol +H+v97FREhSYNH1fM08osYMi+rP8yf2vR0LV22Z+8QtSHj3e7pXVokDkz+q74 +EfLdvDMWFrp4/lSP1yVFeB/bqQU+S7F/yOn6d48Zkqo3y/ySHg2Tb90n3j9B +fntS9bNYnwZJ82km34oZkpGvmd5hgPdZsjeh+ylDtoitPEoZ4vykpjN/CUM2 +RMr66xvRoP7i0c3JZwzhqRSEbV1OQ2hihq34C4aYVUjfjjSmoXV9KM28xPw6 +rf+RCzQsETf7Jf0K+fmJh+knExoufhhpV3zNEKOfWx5OM6Ohr/fOsHoJ+r9K +C3MNcxoO+rjNX1aK/Ogq073RgobdoXM9LcpQvy71ZR6zxH516Clb8wb39y45 +lWVFg4FkndnGcvSLH9NDmqxpUJ5437i9AvvrZ9JZYRsaNhmIndhTyRCF2PuF +i1fSUC/itvpQFfLp5/Zxx1U0uF7oVT/+liGu9VabwmxpmL+wUDXmHa4Pbam7 +s5qGifHX5vHVDMnrvuvesIYG3w2yAak16BdVngmE7LE+B8ue3a9Fflk9r0Vl +LcZ/u0LpSR32i3f9E8d1NLSpq98urWfIroS2wjAHGoxcRk3rGrC/x5ze3V1P +Q3KQzvDnRuSvNAOhJkca9re2lXQ1oV8rPrtK5D8aylqYnKH3DCnauSVHzYmG +mNLXD0Wa0V+/ytfcuJEG43HRBl4L+r+p8ZXHnWn43NDEk/7IkFN2TPj9Tbhf +ruX2hZ+wvxoXrvvoQsPJIcda7c8MmXzzzUjclQaTqbSLSStDPN1Wmem4IR+a +BAmt/oL9WeW5bcsWGsjs62TjV/TrdlaJ0VuR74bDr7p/w3lT6Bws3IZ8Yrvk +rN93htw64by9fTsN106lJ4a14f2f3PzF34n8IP+v9Ew7Q95zyi8au2P8Zxdy +r3UwJJK8d/Tehfy6wnB3+g98T81r0rzigfG8Nfz58CdD7h+pUn7tScOXRI2Q +l50MsV74atmgFw3rl8mr13QxpMfv5S45HxpuKc8c+9yNfPSo7p7tbrxvv+Bb +Tw/ez2GCObyHhuVzFdtGe1EvE1ecv72XhreG9sISfQwJGylWadhHw42PCQaS +/bhfyc5WEV8akKvPKA4wZOHeFfc0/HCe/hSOaQ+i/9i4J97Vn4Y9V+NOmP3G +99dga3J0AA2LZPNV1v5BPclIfVF0gIbL82S63f4y5PKv0imdB2kQM6sp2TOE +/axn5yR5iAZ7pU/FwcPIr+PmlZaHabDwt66OHkG/XpC9yT+IhoIGyclr/xiy +uiNuWsoRGmYMO1rfHcX3Aku8qiYY73tSIrNoDP1d2vR7QqE0VBksUy0fZ4iH +2fVM9TDUmxd9pR8mGHJgV9Nr16M0jH/QDO2cxH64WTh6JpyGx8vE1/2bIiDn +j61aVXwM83HzsImEsIAcSrxS0HOchvTacyulRAREPiIdZCJoeHNm3b5FUwUk +r/HY91UnaXgaX5pjICoglou1U4JO0dD0Ypi3UkxAfiiQkLunkb9ru046TxOQ +OjeNAy2RyHdX0mW8pwvIlpMxp9nRNKR26FcFiQsI16y90PAMzmNsytVoCQGZ +b7hM1OcsDUf9+48msgTkqHycd0IMDa/dF0ZkswUkJU20r/Ic5t/aPo1wBGR7 +aNTZifM0zBn2/VbNFZDS7Torl1zAeDbGLfvGw/N54gpuF2nQ3/A6+zclIIXG +1Kxzl5DPGkRBjC8gN/PWKT2/TEPx683dsxgB2aTbsm4wDusz832uskBANpzK +uTb/KvJHQdCVZTMExCLws5BjPA3bbthftZ0pIJvrvMIjrtFgXema7zpLQFK9 +3OYVJtCQpJ3dt09SQJyZ182diXi/RivLY7MF5M+NWznS12lweahRcElKQFb9 +mZa6OpkGx0Y/y/Q5AqL6409e6A0a8k1m9xdJC8jJTQe/5txEfpuiVFAlIyD/ +dONU2lKQj+RS47/MFZCezZvPzUql4XluYvxvWQHpKK5lbNJoCH4rWTBtnoAY +WQg9CLpNw+aT0v1S8gLC+/Zrd3Y6DWEj9y3VFAQkN+q21dcM1Af4UmAyX0C+ +6WsbzbhLg1ZQjtX6BQJS2Ra/xjqThgvVqoO7FAUk5syP4MNZqHc7nYuClDB/ +OgrlWdnY79vNrscsFJDJzw7aX+/RkDDck5yiLCAPL554NCOHBre120jBIgGZ +svWZy4oHmJ+UO6MVKgLyaB137pFcGrIXvF33ZbGA9AUFjN7LoyGX21D6R1VA +agaE/35/SMNAfOlGiSUCMlD5mDO7gIYOdra4rLqAXFiUaWpbiHqQcq5eS0NA +GpQ+Xgh7hP7r9sFia00BgR/rpz4souGPm/dLFy0BUTwvd67zMa6f49+xXxvv +t9pymWwx8plivNJJHQHJsnkn7PCUht669mMJugIi8bCk4yShYXWQ22TOUgE5 ++1Kn88kz5Bd/6nKpnoB03lWQGHxOg53M5MpP+gJilX7VauFLGkxrtOf+NhCQ +e0M3b7i8osFjqJAjYSggLU3Wc2Jfo/8buCQlZyQgbufO3y8twflfXGeuu1xA +Vnuc3jFRin6GPhS1ylhA2u/oL9V+Q8MW+lz/VkCclq7oWU7Dj8R5foEmAnIk ++5vW9Qrs5yXaghhTAYmQ7N/cUEmD1PLq6lQzAZE0bE5jv0V+sBDKfGIuIHcC +7nDN3qE+va64VWchIMcWesUGVmO+zQ0fd1kKyLw8Bd17NTRkWPzXJ2wtIGnh +n/6212K91ymbSq0QEI+JlHqZeuz/0fz7GjYC8jg2tMahgYZHlWzjFSsFRDbv +UE9kI87DZvVOt1UCEtp4TfFFEw2/zFQeHLQVkBe+fUf+vUc/OVvsasxqAfku +GjKo0YzzGVSWeHuNgERz1kZ4tKB/5AQ/I3YCspDrq5/8Eb/ft1j4vb2A7D7T +Jf7+E/oJ+49u/WsF5KXkq2GqlYbDjlc+ijvgfBmIi634QoODusdB+fX4+4ln +GmFfMV8x6zWWOQrIsnNDhwu/0RCp6j7dYQPWbyD3e/93GmqLU8e9/xMQF2sR +70XtNGgKydAnnARkv0Y3va0D3wO5NaZJGwXkkn1gQ/wPGt5dfXe+wFlAROxy +C+t+or4elhWq2SQgSY2pRZwu/F6uNLrLRUAaL21ssexGPXOs1RN1xfkxfj8n +tIeGXb0rhGXdBKQrYvGhwl58jzzR7tTbIiAC5c1DA78w3ivX+tZuFZDFrQdi +F/fTwHY7PcNnm4BI7w5fvXMA4+sVc4rYLiDml08vvD6I+qk4pyh5B+6ncHne +h980OP96u+zxTgHJ/JyjL/hLQ426WnODu4AEXe3Yu3qIBmhafqV/F/aLknHJ +yWEa7tZLBLA9kd9dXhi+GMH4pOP3KXnhfSSDq8f/0cDcGo409cZ50Ak8rjdG +g6XH4lcuPlj/S8X/+Y7TcN3dWCZwN8an8N/KrAkarG78H8XVHVfj/8WjKEnj +3mfdG0pSUlZSEjoh0VCEpD0kaUllNKWtoiSUSgtJRvgWohMNWgoRoRJZFbIq +pd/n9+d9Pc/z+ZzzPu9x7tLUVB8KhdXmdp/GyH4zXXXOFV8Kh9wvJymP48Gd +91M66neTeYsc7HAYz4M5YoMlH/woNDjYZJ4hygPr+P4CUX8KH3XndDwT48HE +hOFShQAK+bMmHOFN5EGK4qxPeoEUPjEcb79enAdqLnt1t+6l0NM4zzReggd7 +/IbP++8jfNQb2FYziQd5vqU6yfuJf8wcih0/mQdnD5W+Lz5AoTZ979kKKR7o +tIpeqwsi9ShZrQ6awgOPlILsD8FEvy73WkqleSDfW1AkFkrhxp9Twn7K8ECU +lX4+I4zCvz9WmS6U48EKkw8z9MMpbIny1vXm8eBU1dIE24MUerWcWFPE50Hn +PTnmQASZz7i6PR8pHpjHBVScOEShyxqZylkMD5rsfWJvRBJ9tOye58LyYHyS +xO4nUeS+9r+3z3A8yNhuvP97NIVvM0t3vhHw4IjOihyZWAp1t17WmSrPA7Tu ++zg3jsIEs75Z26by4PssJwvTeHJ/VZDWyWk8ODSU+9zjMIV14ttdnk3nQeri +8tC4BMJ3t2sllCIPfq34z/B8IoU6i3YrWc4g+Iama9QmUfim6nxJshIPGhz9 +FvUcodAi0NWleSYPHm822jYhmcL9Zy9pycwi97Uo5SinULiyLFllvQoPxkyl +JVYfI/7E43QTVXlwcCX/iEsq+V7R1LNhNg8MNfW0Dx0neWWxBCfP4UFm9pHR +3DSS/+wHLRN1HhTJCd/fO0Hy87NzXbwGD8L473rfnqRw0PC/8Lq5PFik9YcS +TSf5XPjFSnI+D4In2tnNzCB8PDHFwngBD7oUFWpWnaZw3SmVnfELebByupG5 +ayaFzroGeXWaPPh6+s1gZBaFMyXc/0lq8WCN/td7BdkUWp4qOGCymNxXFFFc +c4ZC6ygxLkGbB72Hc8s+5JC8cz/yrEGH1Ju09Z1EHoUB3Rb/TdEleG6/tGBO +PsE33bJ0/VKCR01xpkkBhW46uS+O6PHggqejutdZCs3djKa1LONBINX8Iukc +hdNemEXwVvAgPnxi4ZXzxK8NUWKTPg9yA6ecelxIobhr4ZXjwIMk7C/8eYHC +jh/8A88NCN81rrczFylkSyW3C1bxIOjwjnm6xSTf/U/utlnNg/XXebk2l8h8 +f9VmZxqS5+EV2qGXyf2S+V871vCA17S398wV8n20jpPSWh6MCzO8f/8qhfqQ ++NN1HQ8W79e83VNC/Jm6UnjOmAeTzq19Ouk60dO7C+GfTXjg/ztZeu4NCtNT +YvfPNSP8sOY8LP6j8I/EplTf9TxYXvu+Z08p2ce0uJZr5jxw0BWLOlFG8k68 +c/4fCx6UXgpZffsmmVfgf1eWbuRBhZrtrI5bFJqEnLUMtST6vVqoKlpOYYng +NndvEw9OW/iaqN6hkGc+NjZhCw9WM7eOmtyl8IJy6CRjKzIvOvmPTwXJ77Mr +Fydt5cGb7WNhqUj2q/dWhx5b8+CJksycm5UULvv14Adjw4NXu+p+vb5H4euv +Z6JtbAme2/W6x1eRvBv4rHfGjgfp2p4DqtXEzxVK+O/tebBbasdMsxoKMzPH +Sc9x5IEtqx3oV0th/Il3c3ycePDhcPfnEw9I/ixz87juzAOFvP0H7zyk8GFl +csOQCw9k08cv7a4j/mDvt0F/Ow+cSmKpSQ0UTtzAH4p048HlhYzc/Eaitxdh +9+t28KDN6cb8zU0EP/37V2R3kveTfX2DHlHo0PgRt3jwIJ+38UlOM4UNLX9/ +nN7Fg9hlrlsftJB+zogbd3vyQMXj6lj/Y+IPx9j7at48YP+uekg/pbBigo6D +rw8PZluq3FjWSvYR693TS315YPzS+b7LMwpX/W4R+bebByajoj/jn5N8MHSd +aLiHBx0alFFJG8m70kXzE/x5MONNZvmLFxTOqTAJehJA9BZftGlcO4W5z0o/ +C/cSPl01klF7Rfh64FCI8z4evH0c3GvxmuyXc28turCf6Hfv5t59byisD9wx +ZeAA4YfaK+mcDgpHO9MklwbzYHif/KaHnSRPRizVI0LI/UPTyr93kX3V/oJP +XSgPulf3rxF2kzw5U/CcF86D+t9pP1e+o/C90wYXm4ME/6tK1bvekzxYfZOX +H0H0JDhdltpD9s1vH9/3HuLBu5dTHt35QP5f8HtfLY4i3+dFSHz4SCFj3/Qn +NJroWXXCdtnPZD4xGdoPYnjgOv3MO90v5P/OOodTcnHk+Wr7GJde8n/EdZai +TTzp18bYLLGP7O9ZQ3X5h3lwQNVHu7Sf7HMVH071J5D79jxf2fWV+GXa34Ql +STz4IZ3kN/k70ddvyI84woPW+szqxQMU9pfd72g4yoPQCLlljj8I324e0WdT +eLBV5mdr/E8K7728ct/pGPErS4tjN34Rfxdd5HkxlQdTtRb6d/4m+lFQ0v1z +nPR/Omff5EEK5ynEz1l5guB94OIZ7SEKgwYDIfEk8e9K216nYaL/sz8PtJ3i +gd+uOzaJf8lzVZmXMzPIvPa86C8boVDx4GM7n9M8OPPqdsG7UbIflBtPvJ1J +9H3RJ1x2jMLzHw89mZjNg+i+sdBlIjQe4uKrN54h/LiyN8d9HI39rjtfZeXw +oEbi7YfU8eT5l7ncl1yCj6zxxkpRGu82de/TyeeB4vtbnX1iNNppn/h3qIDg +Xah/TDiRxrXmmwqbzxJ9RXbvNBKncZ2J6v5p54nf5F119ZegUd1pqrdHIQ9G +tW8cyplEo0qjfmzpBR7E+Q/VNEnSuK05s1bsIuFTWty8kck0/ruyUmNjMQ9q +X/veUptC4/5bS//LvsSDWYm3PKykSX3LU7b3XSb+1r9bP0qGxttHNi/Vu8qD +AvPcJddkaRyYnKwVV8KDnaJWW7rkaJJvGzY9v0bwdMo4KcOn0U8i99SsGzyw +rD0wtpyi0XnrUTH//4jfHxc57EnTONNv9vF7pQRfzSV6GQyN+XWBJnI3Cb8l +58rWsTSOtceoOt7iwf3Ez5OGOBqPzHJXu3ybB2ULgmfPFtK4S0N5w79yHizx +7ttlJU/OP/Agy+wu2Zeq1z2NnkrjzSwnXmYFmfet007/TaNxybyRol7kwfxn +3/k902lsvpe/a9k9Hnif2/SFVqTxxN8dGxLu82AAmz8YzqAxIWSj3asqHqy7 +vXtSoBKNDgO+RzRqyHwXrbI4O5PGo5OaPwTX8oBrsCh/pkzj2b3Bbo0PeLBU +46yZuAqN0n8iJk+v48ExEXOxJapkfkbfnnnX86B4eEun+2wa6bktDyoaSJ60 +POw6pUajxh7NLtkmgq/+NYn6OWS+nxQVnR8RPxJX2DyiTmO5a2HUtWbyfj9X +O3cujZLYJjfhMQ/a7160d5hH+NV+u2rLEx5sM+6RT55P4+9Mh6zzT3nwZ3vL +v3sLaNz4vTlruJUHc3v3i/9aSKNM7dQa0+c8mHfny2LVRTRupS2o7DaSB3c0 +4621aBRv2xv3/QXZl9q2iSUsprFNNmfW6nYevBjxyb+rTWNGTdvHtFckrxVC +Pb7rED5M0Hjy6TXpd2nyFmVdGud3nXu3rIMH+mY33K2Wkv58racd7eSBve3v +M/F6NG5qNgvp7iL73G7HsTvLaCxSThHT6eYBc3rs0PflNBqnLboW/47w91vH +vFn6NPpb6se9ec+Dm7FTRKyBPD96L1rzAw9uH0r9k2BAY3x0XVH0R5LnEw/S +lStp/B7gOvjyEw+qdTusf62i8Vpepuf8LzwQrL9dpWZIY862QxKRvWS/2ztj +i/0aGp99UWpo6yN8+DZN+pgRjaeL40rnfiX7+GB5b+1aGjVHquoivvEg8Ynk +wMg6Grt1305o+07wa+RP1zShMaip333uD3Kf1jvfHaaEf6qDPyJ+knk7xH4+ +bUajyM3J59p+Ef6flzr8eD2N40a0I+b94cEVn5CNEhY0dvrEREUO8oCW/wAr +NtB4+JTk1ZdD5P8BvWWL/0aiJ7EmsYV/SX43P0u5YEnjcoOO8JgRknf3An53 +bqLxRY/JrDejPPjopn+Q3UJjX/KMAa0xHljow6L1VkQ/770+HBbhg/BJpFTU +Vhqp+BUTusfxofOSYEq5NY1L5+WYLBXlwwvXyYt/bKPxU3TerWQxPugkukXO +saUxab3lxk8T+LC3Wuevkx2Ndwzv8gzE+XDryuFTp+xpjF008PekBB/UB70d +WhxojH43MuX7JD5sMO43neRE5qfeu3bdZD442zDOBs40LupqvJgjxQfb9z+y +9rvQOPjusu7wFFLf+WOiJa40Nsmf+bpRhg9yO8cf/bydzM/3YlORLB/Mfpiu +nrmDxjWtb8nfIT5M5MIVbd3JvGGDhD2fDx3F55WP76Rx89UJLqUUH9YkP7Fo +8qDRdo70B1mGD0/zpxSIe9Io+9++VA+WD6nNLjMMvGj8z9VyVxXHh7jx3dUH +vGlMN724a7qQD7vnnUy57kNjfXzy8X3yfDBafzSm35fod6Xcp8dT+eDp1JY/ +24/GlAxdt7nT+bDVK+Sz8x4a5Wq5KbEKfIgPSdia6U+j5XD567eKfFifx/v6 +PIDGnbu12pYr8eHRr6mXeHtprPJOHDk5k/SbUnbcbB+NPnrPjH8q8yEhY6Ag +dj+NASrT7pur8EFTr+3N/QM0bojy3V6kyofR7EAYC6LR8PqbheJqfFg99rJu +aQjhIx0422UOH5hUXmhgKI0FcobrKtT54JQ9Z1tJGPEDbluq/Fw+5LsvcOgP +p1Es+/6kffP4ILN8YeKcCBo/zjha+HQ+4YfP0nduh8g8ZzbtWbiQD4e2Wbvm +RdJoMjfBPUmTDzm2GVM6o2gsaWqL+bKIvN8+pXNqzP/9517L2sXk96q77dax +NI7qbF1zVpsP9yfeEjkRR+6D8+9Fl5DvT0ubP42nke9YedlJlw9lhx7WyCUQ +f1hbkl+xlA9uMLjDPJHgcSWuatoyPpy3O6+ZmERj7eYtMsHL+bDQ84NK/REa +cUQl6uUKPkwTvb96UjKN930lVXSBDzxcm2CUQqPjIZmBEwZ8uLomejTqGI1f +pQw//V7JhwqIO1mVSmN7783JW1bz4bm9g51oGqlfIsT6hiGZrxVjuvIE8Qez +zMeUER/sP9x2PXiSxopLanv91/JhoMXuHJ4i/q6y0OjpOjKPzkmUSAaNRjfu +rdQy4YP7u8YL+qdpNHPp25lqyoeIktJdYZkkT/Sx/KcZ4f/s1i0VWaR+e2O9 +zeZ8kFfT8hzLJn76Ov39DQs+HMx6W6SfQ+OrDrzNbCS/9/XT4bnE/4/U39lr +yQexS9svYB6N7lPrvrRt4sP0ZVt2jiugsbqi3nDpFj5oqzRtXHmWRqeyjvoM +Kz40Bba7HTpH4wcTOnR0K+lvRUJB1XkaF9cG2TpsI3im9ktPvED2hVClHZU2 +fJiRJptnVET41cBlzbTjQ7a7iHPcRaIHnve4aHs+5Go3mNQX09hza2HyRwc+ +2d8jHKdcprFVa4+ZiRMfNqcsOGN+hca8Pwbal5yJHk+8l0y5SvLzYLGJnCsf +JKIvn3laQqPO1upE/+18mFt02om9TuOw+KmR52582Gd922zbDbKPKC85qefO +h5OfBdsz/6OxY22JY/ZOgldFzbnOUhqns+wW0V18WLSimVa+SWPwksB9OzwJ +31pXX95xi0Yvu47aei8yv2FN/6LbNP5a7rx6gQ8fPqsWun4tp1H+lHR/qi8f +0jpvhC+6S+MPrZ9VQ7uJ3xXveLC3gsZ9HUoP7ffw4dX0Rr1yJP7gdWH4vj8f +sup/vhS5R/R/O91aLZAPARv6CgzvE/+9KNqTtJf0t7n6dHwV2Qfm/sr+uY/4 +R8ThikfVxP/mhcVsO8CHpMPrpelaki8Xrp7GID5snzMtbtsDGi/lnu5QCeGD +r8LEBWcekv1O0cIiMZT0p8mJ9tSR/NF81f8jjA/jFjqP12gg/jFgcXvbQaKP +7wNz/RpJvoTdvVEZwYczFi+iyppoNP2n9WZ2JB+SFypLjj2icSSrSutoFPGH +sLe3DFuIX50Iufknmg+G6jNPJjymcYKyr6dDLB9+zfuV8+QJ2ZfiL5rVxvFB +JX5Hm7CVRlduld38w3xYtjpOz/kZ0bfi6owTCcSvdu2sL3xO9CeC4iJJfCin +2djvbTTOlq/NdT9C+nHI2a37kvh1+07PlqN8eOPJxh5sp3HBf2WuS1P4sHZn +bP3DVzSeUq46nHeMD1Ixost4b8j3F053SR3ng5bIyRfbOoh/t2x0C0wj86U3 +5+d10hip/kfQeYIPE2SNT/d20dhlmT6y7hQfRlZEVy7uJnh9MZW+ns6HwiGO +CntH9JepYD79NB+OZ8mlPnhP9C2YWRGbyYedx8IMeB9oZOXd7X9k8eGOod9U +2480JjqPadif4cOSOUPKZz/R6HFzaM7DHD48LJ9p8+0zjQe+79iqlUfy4uC4 +iqW9xN/ebbuRnc8HBdFci6g+Glf7dRtMPkv49JSSbe4nfhzF+xd4jrx/ZOeo +8BvJO5mhT2/PEz4/u8y5fadRS/L8BPMLJD82/HG6OkDyK3DBhttFfIgqMX8x +8oNGgX1eg2ox0ePVB6FrfxG/fCK3L/USyW9pv42pv4lffE2wHHeFDw+SbTZ1 +/iH8eTbLwfsqH2jJ45EaQ2SfuNKX3l7Ch5T187r3DdNoc/XXxHXX+cCt0PGt +/ktjGN88778bfHh/t0KdN0ryVDjZV7mUD7EVz2mHfzRKyel5pZSR8xcfmXdx +jMZpJt/SRW4RfSv8DhgSYbBBedmQ922Cz8GpvWvGM7h1/ILY1+WEfx685FRR +Bs0tXhuZ3uXDlf4Prm/FGPx1aPOS2xVEP+rFOxZMZBCFF6znVBK/NvQ7FSrO +YGB6b9Gpe3zQ8zAabpBgcG/yvPmTqvhQ3bgsXl6SwVtpB7v3VfNhdrHzOo/J +DCau+/PgYw3hg9lDnZtSDGZtyOnY+oAP9UPhmyWkGcx3SFZ9+JAP+yXSc61k +GLTSeHFGt54PR1qVFc7Jkt/7400uNPChtnph/W85cp5sqap8Ex/+M2w5u4bP +oHK17+KER3zIrOOXpFEMbvZ76D/azIdNLZP6emgG5Ucev/d+TPajN/etdFgG +fc2zYzuf8MExfONADMfgWyew29jKh2MmNeVtAgb3LXzgUvWMD49fzy9Vk2cw +snrtae02Phi8zu46MJXBq3OfTix8wYcbf1SWNUxjMDsiOE++nfhPd2vNNAUG +c95b+iW94oOHw52DPooMbjvouWfcG+Lnmv2elTMYrIttO+vfwYc56vtj+TMZ +HLfkgtTHTpK3M3yebldmcMnTH/k2b/kw+XenRdks0k9Rrc+jbj5YHe0YlVRl +0IRa4rXqPfHzrqB2u9kM/vO2yiztIfvK25pPV9QYTFFeIqLxkQ87Ultmi6kz +OOFc7/Ezn4jfji8+aaXBoMHuGHv6C9kHV3joFs1l8KG4/Lb4Xj5ccBFOHpvH +YPOfm7FjfcTP0pqmWC5gsPB54Gf/ryQfx500OLeQwdlGrmGfv5G8fhlz9q8m +gzO+pho5DvDhqMPlZRZahB8H5Vc9+0HyrVVBrGAxg7Y3Jf1Mf/FBOuHzyJA2 +gwU2AU/v/ebDzxeKquZLGJTS9vbQHeRDoMLTiHxdBuMVJLSuDBH+VtOyw0sZ +fD24eaHqX4Lf8j9N5ssYLC3ycM4aIf41Lr6iYDmDserWtfQ/Piw43tH1dwWD +J/y1HBPHiD9GTtLeCAx6JMrMnTCOgiAXQfl5AwbXRo3ODRlPwclmRf+xlQSP +ADmXX6IUTPBbaL9lNYMy4fYNXhMo2PHH9kCxIYNVLX929kykQFRw44GYEYO1 +2d/0HCQoGH/SZJ3tWgbr1WxXtk2igNPXHLm2jsEDZWYhGyZT4N11oGuyCdFX +VltvnRQFLjY6Qy6mDPrryCavlqZgQ8r+VeVmDPZ9Eve4K0PBW39LpMwJ32c9 +2btEjoKs4Wc+XhYMtjtH3SrhUbBQmdlYs4HBV7M0NedSFBT8VdqhYMngqr+9 +b87RFExKlbm8bxODEfsfohJLgdukfrXHmwmeBu3PMzkKMg42P1e3YrBtdLGy +QEiBjvrDsqitZL7OfQWp8hQYrfjc0GHNoN482k52GgV9fw2ppTYMTlerXJcw +ndx/uT8p1ZbBo7MmeEooUvC76Peyr3YE77Gf9yNnUOBo7jvd2IGcn5m/YdxM +Cg6LeC8qcGQw+ZsqHapMQeL88cEizgxuGEiR/juLghlb9AdtXBgMODe0fJ8q +BfP+6JwvdWVwsYJv3q/ZFNzJ/neY70bq8ZPU3zOHgvL3BXk+OxhMv/9K9rs6 +BR/d4Wu9O4PD8JfzmUvBf487vWd7MPh8xgGrvnkUyD47pRS1i0Heea+GXQso +sJ4fKvnWk0Gh4ue9nxdSIFlwRkXfm8GgTtFtOxdR8GUitfe0D4PSxo/8PmpR +cHrel79DvgxqPXC8t0Obgm1jS25Y+TH4vblh7QcdCo67yebd2MOg/TvViTt0 +KRjcFlnNDyDvJ0YP9yylYP7rc1P9Ahl85zg6a8cy0u9g4vnmvQTPsTOxH5ZT +wMd1O+fvZ9CYF63krk/4YNlvn3SAwY3mlT8+AgXTXibF9QUxKBG4Y2TnSgo+ +R6/4ZBrCYJpF4rIvqyhoPC4bejGUwZZrRtc9DSl4ZMqtlQpn8FpYkUv/GgpS +R9yNPA8S/LMajX3XUmA+Rgc3RDCYMOH+zoF1FKje1OzRiGTw5fUz6G9C5nny +cVRiFIOrS4PM/5hSYMZOsumPZjBTaSdzYD0FvNJP281jGVRnQ+lRcwqYCbFn +r8SR+iofmYZvoGDcqT9TeYcZ9Nuyp1zUkgIFyvThngQGO7hQ15hNFKxSOlXU +msggvXmC4eQtFNTsH7ivc4T4q/N0+yNWFPx4uYuXfpTgm/fmMt+aglpZwYmR +ZAYfR9ssPbmNgs3fpmx0OMZgUuSF0am2FKRY26+6l0rmNaNrKMeOgiTt6btm +pTG46ws1X9WBgpIgp4exJxjcGWqTedGRgn2zl9n3niTzCKtbrelMgc+ae2oW +6QzePLN3VpkLwfOTuMb1DHJ+5j79FdspOLVwxnYuk0GdFd0pVW4UWBoptQZn +Ef/e3Khg4k6BlINCcFc2g7fvmfa07KQgs1Rj25ocBoN99vZs3UXBs3R7n6Jc +4j8bXBQ7PSnotX14WzafweidKqk7vInebQ/qBxYweK7qmcFXH8JnsYzh9rMM +Dh2IV9u7m4KLD+f0GZxnkL1iZTLmR/qZY8ieL2Sw99imczH+ZN4l//ZJFxH9 +OJ1YLhtIge+fXbyAi0T/DtrSp/ZS8PVkTnd7McnjTiOB0n4KLq283rvyMoPl +q97aFx2gIKSobO6FKwwWDch3aAVTUJZ6/6xcCfEnl8npd0PI+XWfrPZfY3A7 +V3tkbRgFPbPAoOs6g8uyt+PjcAquxbY7r/uPwZ7kUXW7CMKXrubyq6UMjhwv +ePzhEAWdsxebC2+SvLbzv+4XRcEy12nCQ7cYPHY2vGU0mugzL2ta720G7y/t +UouLJf4h0mS9+Q6DUd8u3qHiKfiUi0137zLIXBhOOHOYgt3lh4NnI8m3zV0n +NBIpGIpb7ZJSyaBS/943ZUlEj5tEDo3cY9D9QKuj4VHiJ75P292qSL9T5BQe +JxN+LHvm1VLNYHitgcDhGPELZXndZbWED09CzXtTKbicXbb83AMGBbs6Kven +UXB+flUQr47Biy0HfMVPEj9wtvwRUs+gmbW7zfFTFHg9Dsr/1ED47lARMTOD +AndlyyObmxh0WX+i5+ppCuImfb1W+YjBB6fFYyCL+O+K7bx5LcRvmlRdH2VT +cDSh/kL6YwZ99siE2ucQvtTqhIg/ZXD57GdP+3JJvc0Vcf6tDFakHXMPySf4 +HNvf3PWMwckBDrpTzlKwUiJog3kbgwrRG4wyz1HgsOil1J0XDM5KP5gyt5Do +b1bxePV2sq8kisvfvUDBiaFJi069IvuN8d/O9RcpoF9MzBJ/w6Bkrf+7jmIK +3vy5uSqwg8F54gmzdl+moDpNV/l9J/E3eev88VdJfo0/rb/pLYMaM346ppZQ +EHXsz/H73QxeWhVgo3KdgrzLzqqL3pN96NbPY2U3KFB68ONHbg+Dg3Xxkial +BN9tlX95Hwm/a8wrXpdR4PG9a8WhT8T/pG1LfG9RIDbT886Pz0RfUx50i5YT +PqcE7nXtZXCN/kXLE3eIPvpZr9Y+cv6cGePVK0g+/nTLWvOV7Feu+l/vIgVP +dx2YXPaNwa9JCvKW9yg4orbzutoAg9bbXkZ9uE9BvozxqYwfhO+HYucHV1Ng +LKV1a8ovBt+0ruTkainYJFzBhv8meldTgrMPKLAzCLsy8Ifg66p/Tq+O5Hua +dPT2ITKfA9fMWuopKNQVPdk2zOATzxOLdjRS8Mrav8dkhOjHRMx6tImCfwv3 +764YJX63iH/3WDPxh0lquovGGLRb/9p5zmPiR4szlp8TYdH9WZBR5RMKDrEf +QuXHs3hVTsJzayvJm+nKo0dEWWzdlNH89RkFDdU7y8QmsGg53jwgpo2cl/bo +yv6JLHKHl21TeEmBUNWrp1+cxXqvkLDSduJXwm3WrpNYnKmj/t78NcFD8dKk +l5Is7ohwOPzxDfG7P+F/zKVYLB5c5Hewk+jf47NSzRQWozfcOyV8S/i/YXzC +MhkW929UHn+9mwK1lE7Na7Is/n20p8jsPQXBCpnsHB6Lzhfrjn/oIfMZMl+a +w2fRsW1l5cGPFDjNl8vgaBYvWf6eO/Uz2bfaB3WPMix2q4+1//eFgr2qCqwE +R+oJ2Vu/oY+C8HWnNcMFLNHD/pHefgpWR8cmDApZDDBS8In9RvQ3f0R591QW +KwwOzVQeoEC3QGbk0zQWF9ysEOAPsm9tapdzUWDxG//rBttfFLws2+v2SpHF +tTXqDYO/CR42o0OblVgssDwae3yQghePIxsezWQxcr1OjOYwBQerVN6sm8Wi +cKveg0d/KZjb/XdelQqL5xVLTbxGCT5fp1asmM2i4Y5qucljFHwoy026qcbi +yeFwYaEIDfOnns3UUmfxX6mYm9F4Go6KQe9lDRY/H971870oDet2xR1Qn8di +jF9zdeQEGpZszVh7bj6LzYHrX84Up0G9K2nLzIUsvikR0bwvQYPEnJD8bE0y +f4vxjc6SNBRvD9OcqsXivTjvovFSNHQ8vSRyajGLC886NuZOoUGqVlmG0WHx +y+gPzVUyNFSeGrY7toTF0cFVr7plabh/c12f7FIWHaQ9H0byaHiQo34nSY/F +oqqY4VkUDTrtNxullrOYW1LiU0vTEPBvisLhFSxah0qo7WRpcC4xuDoJWGx7 +na8yWUBD0kXvyFgDFo+n5bkXC2mAq5dOiq9i8Uqo4lfzqTRIp8r3R69m0SVI +59bANBqeaT+KnLiGRSZCrO64Ag2J8d220UYspp3Mm647g4bwI36BE9ex6Pp0 +QdkrJRpyN6W1RBuz2LHtQVq4Mqn/j7u3uCmLW52jbymr0BB8Vsws1ozFowti +Zj5UpaH/9CGvSeYsPpH/0OKlRkOyikhzvAWLSfH3qnnqNMzOSvWX2kjw+LF4 +rFSDhmEvG5skSxa3d9iF2s2jwUjGJ1J2M4vb3m1ZJbqAhhuSn7+mbGFxT9Hy +9YULabg72JNJb2XRrm9etvkiGnrDw5NOWrO4a4+R9m8tGhy2tVTK27A4xubz +M7VpmGj6UyfblsU71U46q5fQME9D7LuSPYtG+zJzvujSMNQp33fWgcUWPf+N +x/RoeOewRUPdieA7V9RYbzkNXZeaLl12JvoK3hHbvYIGXne2v5YriwZud6ck +AJnPjPchN7ezKFg266XWSoJn9s26FTuIvuxv9r1eReaZu8Smyp3gASfXxhjS +EBEaMt/Yg8WV2zs+LzCiweNUnlHzLhYtnC4+fbmW4O9ek7fFi8W7L6dOjDKm +odN33OrX3sQfYteHzTelQXKt72xXXxY1tRzgpRkN01Lnbfiym8UlpZ7rosxp +UJu89a7fHhY3jKamL9hAg+seCd9hfxZ/i/5e9GojDTPybdwiAlmse1FMx26i +4VCkV47kPhZnZ7/U19pCwyapbTOO7WdxaXR6SacVDf9WLe+RDyL+9WSyd6I1 +DeWrF33LD2bxcLup31Ibcv+SrfrzQok+JgZXfLClwXHrgyelYUR/TaWbj9sT +fL9lFxscJPOpmL54lSMNj+z+NtRHsJgV8MjuuxMN6ZP/LNwSyeKynI+Psl1I +f/suv+qMIniLxR1ev50GPU2Dxl0xLErueXR01I2GCy8eiP6JJfp58rLjojsN +CxRcwiPiWfSaXrfP1oOG71Uaq6QTyDwcym2kPGkQZq00TU9ksbKkObbci4Y3 +SZUZKkdYvLFORcTLh4YViTULrx1lkbhU5bTdBL8z3tKQwqKOPa+pyY8Gfuez +hY3HWMw4+UE53J/oNXDq6W3HWcw/GlSzMJAGsTO2Zh/TiF6f9JV076Wh4Px1 +w8CTRM/j7D8f30/O+2oQJZbOonHTF8+1QUSf72ZIHctg0W/sv6V/g2m4NMnv +5YxMFoO8OywvhdLg+8P825UsFj3Eo8qcwmkYWPPCDM6wKFVX605HEDzK1X88 +ymFx3MNa14eHyH1Tt3c65LEoNqfgYkgUDWdW5dHf8kl/KuGgGUPmrSB2LPws +i2cn71f8EEtD46WCrXLnCd+XXDE9HU9DkNhZt9xCFnWV1lRvSKDh6uqZdxYV +sShubhMvnkRDa4GebfVFFtW3yZ6+c4TMz3fKaqtLLKoNRA3vSSZ4ipT6f7rM +4okXrwrmHKPh7/0t/UFXSf71LM7qSqUhdOnkq9LXWIwVLek+mUb082egPOc6 +i8Hz/AItTtJwL1uDt/g/km/7T2yRSCd49D678qCUxTOSqyIxg/DtvOwp25ss +Nk1NG9uXSYNpyWDdt1skf/9dfbAwm+h7uHhNVDnhD6+s4/MZGv47ZC4lvMti +/KOHq/Nzif+5jchfriB8uicxaJdP/KX+ScDqShZvx6cNsWdp2Pbtp+DlPRbl +Xqeue3yOhrWzwiR8q1hcd2jWx4RCGn42JhtMrCH5buPRalRE8sHJtPp0LYub +raLkRItpkN/ZdGzRQxbdwk6evnuJnH9Ip7iujujzW3XggSs0WDudk3NuYHHg +5fwz2iXEr2qXVw41sjg+epD7cY2GpUeE5cmPWFxttrLr8g3iN3l24+e0kHnk +zB/yLCX6mKCaeu8xi4Xi3Y5zbtIw4UHabpunxL+mhnEfb9GgwW9M/9lK/PiI +iuLZchq8lT7LJD0n96mM7HW9S0OMoXSL6guSd3eVFGciDXSn9ZvKlyweMLrD +va2kwc2jT8f2FYshD/qdcu7TsNX30+vfr8n87F7+dawm+KR4Nyd3ED3r5vUo +1tKwPypTZm4X4VuBp1LXAxrKeCcyHrxlkT9qfTmnjoZfbLC/6zty/42kROcG +GvRjvNJFeliU3zbvzswmGp7sSJiS+YHFkjjbFe8fEX62DjXqfmKR93eZ3LkW +4ldjz9qffWbRNOjH4p1PaJiuYajj30v2j768i+qtNGy8sb1Trp/F18Z+Af3P +aKibtO355a8ssvkRR6+20TDu0qqp678Tf1EYGvV/SYNAb/Xl3gGS58NDd5a8 +Iuc7hBw9/JPsH3GFzSOvaTB+I4tzfrNoq6OhXdlBw+JkxRV1f1hMjzrbH9VF +g4Fbk6THEIuDUsuHjbuJHzgtU5H8S/gcQlnLvid6zEg4emGE7CtZGyY/6yF6 +XNW1zuQfiz9MBXKnP9LQk2W7sXeMxWlhRz2cPxM+is+4kDiOQzR4xar10nCu +12LDfFEOn5fNEHzroyGlVXptixiHQwrR3qVfSd7ZhSTtmcjhkbp5XNh34q86 +FcqMBIfpMw0Yox80ZM75I3lzEoeOxW/dZX6RPKbXGthO5rBpvK5s22+yv/Q9 +rR2T4lDx2U6pnEEaftzGrDxpDk98T7fzGCb7Ud68GiNZDg/rDIhqjdCwp91g +Ra8ch69zj4+NjtKwq2SaeDKfQ7U1RRYPxmhYnvheUZvm0MfU+k/KOAaiPpQf +bmc4tB6q/mEnysBny1qjgxyHd8+za9QmMHAxaPZmVSGHP5r8+39OZKB3utj1 +RnkOA4ZE+1CCASs61NV/GoftjV8MEiUZGG92y01egcNPkpZ91lIMZNe/unVP +kcPPMY5fVaQZqCye5OShRPpfrLf2pwwD1arbrXnKHO6ZJjlYKcfAoih+/q1Z +HP52+vnvCJ+Bx7N1DVxUOXTVn2FnTzMQmzi8QEqNw3uSZby5LAM7DIP33JjD +4THNToURjgHn4bcSDhoc9qyojKwXMsDztvwuMY/Dsy0RBhlTGdh5YEDj2nwO +BwtMt+yazsA32fe37RZyWHp0zX09RQbGllpkSSwieB08GSulxECr0PrpNS0O +X4R5nH09k4HZn5XtHbQ53H353dTLsxhY9rdNb/ISDtXN5veGqzLwqSzdq1SX +w9HLfpSlGgMWZ4/8cNHjcOm658dnqTMg5fC6UXY5h875Ub6DGgysPlE4cmcF +qWfH2fz6eQyYTxWG7wIOEzY5a2YvYKDtyaatgpUc2hu+FezRZGBXeVhU7SoO +yxaY2xhpMTCxH8UDDTmMVH38W16bfH9qRYeyETl/c2rvNx0GxkkoSD1dy+GM +cRXLanQZWJgZm3TImMOXCUEfMvQYCGrNcVtkSuYR8KN393IGCtckp3abcZhk +aWG2Vp+Bu9khXKo54fPL2xIKBgzQFxIHVm/gsOqlg8LvlQyIrv2o9Hsjh+eW +uyU3rmagOOB64blNZJ6SQ/YFaxg4uk4QY72Fwy0uK2ND1jKQ/mP57clbObSK +9pyyxZjgdWfdmrvWHNo25vTPM2XgmJTr7N02HHZdktKQWM+Ajf11J2U7wv87 +z6u7zBl4b+I88NyewwVn55bf3sCAROzxl4cdOUxdrCuTZkn41RkgBGcON2yc +VeG7mQGNFeolP104XC8yrcHEigG5vNc5hds5fOpgoq1qzcAjjRuf7HeQ7y+1 +j463YWAz9TKO2slh3JohpQ5bwr+L/hF1HoTvWY8KbtszkOJa/CTck8Ne4/jo +k44MhFVfDNHx5nBsZFN1gDMDq/wzwvt9OByJsHG2dGXg1YLcVwW7OVz48KHd +QjcGFjz/lGy3h8PWtvpSGXcyf/uMM3QAh1fbEn37dxL82zokmgI5NJmyLLZx +FwN1/p110fs4tHgxfuyiF+FzSE2P/gEOa8qlWxN8yPtWt22Hgjhs3pwg6bWb +8Dv6o8a1EA45p/PZZnsYkD2/18orjOix7EjqvAAG3gamvFI9yKHqFp9PMnvJ +9w+dy99GcNht7p/1fR8DPsd4fzIjSb2v6q89OcCAwbv6BOtoDjea56n9F8yA +0ceyEDqWQ4Ops0VOhTLg8lG0riWO1NsaoxMczkCV8fPdSYc5tFT/9sghggH5 +FLsAk0QOpfqTHq6KZOCdXeVTiSNEL1NSlGdHE//ZNfdozVEOv6WpdknFMvA8 +teFcZAqH626GjH2PYyC45aH8qlTC/8p7Yc8PM6CsbdE7Lo3D61NnOd9JZCD+ +V7yg8gSHHVZPzuYdYaDeoSAv/BSZl8KIWXwyA4ff1sVDBoeboclq9zEyj0mq +j0QyOWTO7avaepwB07D3vpVZhK+Oc1LhBAMhkpq+EWc4nJ7Oq519iug/eUnj +qlwOD+Q42sllMLBOMCt2Qj6Hje9WWQ2fZiDr/syc2gLCh4Ev17uzGPje4sjF +n+OwLig2sPEMwStfot+0kPiZ+brTpbkMqN80UpItIvnhaK+Sm89AY7HxjScX +OfSs/EMlniV8XLHi3IlLhJ8Fhu77zjOQa2Q+aHOF9OOyT9H1Aqnn3oXziiUc +TtqNyy0uMjCvLqTs/TUOD+1Yj8suMWB74pdq0Q2ij3GW59WuMMAc0v/jW8qh +qHDsF1NC8JkQp6Jzk7x/5VCh2HVSb+nYjdFbHMq9l7s/cIPoc0NLQVU5h8ND +L1d2lTLQckH99+G7HBZsklVrvsnApPJl5yyR+HFwd0DFbQb+y9S8KX+PQwf5 +aLXLdxiIjtXTeHefQ71/aquzKxioaI0SKa7mcA49ruZIJQPhY/ragbUc1vst +vxx+n9R/5mSj/kOSd6ZyIn7VxM/23K2ZVE/8duRSmUstAyWbOmc8beBw7dja +F5sfMuC5cm5HVhOHZj/lnNfWM/Bw29N/O5s59M1eZqnXSO5/LXZw8WPy/ce/ +F+c9Inho9G8f95T4ZXuEj1ILA+0PK4obW8n758QymCdk3tsKt6Y/59DpzPX5 +k1sZEC946bbjBYdrVtTMFXnOQEzyoTatdg5PTfM6/quNAXbO0+Lxrwnfxl65 +fXlJ+ssY6Wl+w+GfunW5Xa/I88VzI7M7OTwa98Go7Q0D7jvSorzfEv/b9dnq +UScD9jXuX5a/I+dVRz+uecvAG4nWG1N6OPTjfS+9+458LyH1/vUHDu2+20mU +9jCgiSv2X/pE9DN7fNXljyRfN2T5hX3hcH4O78v5zww8G7FpsejjMNirKiS3 +l4EytcLjSl85fHffNPh0P8HTqbTi5zcO947r6kn7RvhgUWZeO8ChUeF/d5IH +iP/XvjZM/8nhB1fRcYk/iT5vW+d6/SbzEBu9EvubgfVr7LcbDHJYGfaiMXKQ +Ae+8aUfoYbKv/GiyOjhM/EGrTuHzXw7f5PPNQ0cYuBmaxlaMEj2Mvb4W9I/w +R+NGYOoYqeeEa/R+ERZ2TrFe7jFOgHqqb2r2jmdBnLqxC0QFWHL0YECgGAv1 +1iPj2AkCnPwmKiVgIgtzpzqL9E8UIN9AaXqABAvqdwU7qiUEuJ5K4gIkWSh+ +sEU7U1KA116IRARIsXDgk6l3gJQAT+uVbAuUZmHSz/ky66UFmD7lZe5eWRY8 +3i4SqMoKUNPkyrb9PBbeP0lIEOEJUETgFRFEsaAs7bPzJV+APlVrhaEMCx9G +pK9cpwUYUxWkdJBjoUszx/EIK8AFN1dkRApZaHDfFuQhEGD+rrrI2KksyIf6 +iKyRJ98/supImM7Czf30txnTBCg9TrEoWZGFutiDxv+mCzDSyPZjmhILM0Q+ +ybQrChD4a06cVmbBxuYglCkJcIoIW5arwoL7ivBXx5UFKPFEwqRwNgvDe+Tf +7VER4I7gzRZX5rDwqj/WauNsARqzOg9KNViYUvdPe+EcATp8+lBSMY+F2Wuv +RchqCFDfJVf2wQIWJj99tfTbXAGemJHT1azJwt5xJQ7N8wVY/GW6ykstFrQT +dn6/spDgeX3Lm25tFr5tXfoteZEAnTIOSfYvYUE6wMZ2z2IBPv7ceWFwKQvG +rJj2Zh0BdgkuVIguZ8Ege1eIji7pr164TkafhZ7jDzWFegK8+MjbSN6AhZ/F +m7eMLhNglNLbW6qrWMi+b/Sxc4UAJ/ZdydMyZOH5q+cfq0CAfyPZ8SuNWNij +tmJr4UoBvvHa+Mx8HQvvRK9pJ60WILc1S9HehIX8b96Re9YIcOOMJV2eZizs +yLpgYL1WgJmttlywOQuqH7K89Y0FqHNpXc3hDSzoPYqcrGIqwADesi8Zliz8 +F3Wcm7JegH4nd8dc3Ezq2S6Z9tNcgCvEZmfcsWLh/s+pka82CNB0babKI2sW +HN9N7K6yFODSaJk5XTYsHJIbf614swCPSN8p+GHHglHU2p9pVgL84Pju1ERH +Fk76U+fCrQX4XL1qotCZhfVwpt7DRoBz1mf0znVlYWWgivNmOwE+aD1vstKN +BZ3mLg9wEGCpiIaylTsL1OIpPepOAvyzzDXQ04MF87LuJ6yLAGXUkldGeLLw +KP2Mlth2AdYcG4g96c1CgHGYxHc3AW4KfrDusi8L+5xvm79xJ/XxLaNq/FjY +ePGoZIOHAA/eeqz3xp+F/dP1dG95CjBVNNbrdyALua9/t5/3JnhcuyaU2c+C +7nKRHyd8BXigIm3V7CAWTO4eC43xE6Cqud9HgxAWzsj2h+71F6BUecwk2zAW +HvJMf+4IFKBrCncu8CALRx5/frN1nwCZo26VyYcIvxPE9Y0PCJB39trW4ijC +j6IOalmwAG0HDbwexrDQ13DFcV6oAG+9thx7H0fwulWmNCNcgFSnuoxoAgvt +3ottqAgBmt2RylRMYqGS3i4pEUnqc9MtXHGUhVmS0QtGogT4SeTXIrsUFhqf +P2v8FiPAsPcRy4NTWbi2NO3t+ziil1yVmow0Fo4pivq0Hxbg3KGZTbdPsuB0 +znZPS6IAWzvvbn6VzoLb9Ldfa4+Q96P07EZPs9A28cm7u8kCjDZ68256Ngur ++D4b/zsmwPo7X3ohh4VR1d9LLh0X4Ni18wEueaR+m/Mnz54Q4EKNbWHRBYSf +v6t3Z58SoLi9oeSFcyxM9z9SdTJDgL6ll5mmQqK/CMPklEwBhr9+kz9QROY7 +Tq0tIVuAq4q4G+wlFgomBp2KyRHgQ808o+VXWAh+HtwakUf8626VrUsJCzFf +fRJCC0h9jfd/xl1noWPk+N0D5wSYJvggc/U/Fm51LfDcWyjAMykBl9rKWIi7 +HnHcv0iAa5z+axa5TfwGG5f6FRN99XwLVLvDQlLkJlvfywJUvOWZs7GCBZEb +1sPeVwXYcnm3RXAlC9Z6irT3NfL+Y6PIs/dZ+L34y0WvG6Te7TrLW6pZOD44 +WulVKsCentigkVoWbkud3uR9k5wnE6U/u46F7ZqTtvvcFqDSI/+4TQ3Ez+zj +fvjeEWDexhzrg00En7uOInsqBDhVZNOVS80sDJY8ORxQKcBd+54lvnrMQssz +lbR998l9J/wGJFtZaB3KUgiuFiDr7/dG9zkLisoHZ4fXCtDcSXHjzhcs3Enl +XY18SPjbV2N2qp3gee/kzbh64lddV1oevmYhw9Z65ZFGAdoZqr0Z7iD+YZxu +cvyRAFfaBO3ReEv4cyGnNaNFgNm5A8n271jY9uxGZ+4Tope2l7rJPSw8sJ/m +daFVgNq/w3ZVfWRhbIpCUMlzMv9F81QHPxN8PoybfPsF8SMxTS+NPoKH2pRp +Ve0CvDu1bbnTVxYWmsRebXwtwPteXqfSvpP5jN568LxDgMMq+uENP0h+afQ5 +v+0SoHVp+sD436Sef27hfd0CdGlo/KY7yEJyq++MofcCHNqoErR7mIUtZpZr +JnwU4PR9A8mFIyysW2H1Ve4zwf98+OK3/1i4d7t6qkKvAO8cUXCTH8fBAvpj +k0Y/8XP56cqbRTmQeSY+Ue+bAHMO1PscmcDBsRrve+sGBJgr3LuuTpyD9V/c +xKx/CvBXke/VCZIc3Ila2uD+W4A7FSXOG0hxMExpCfcPClC9KHFuqDQHg5uy ++uOGST+VG1beluWgS79qXcaIAD2mFvQM8jhwmPJdvfgfyesbbUIdmgNpLd/j +FSJCfFu3vCOA5WCfe2L04/FCfPFqltYNAQc/MlPH3osJcdeVt4Jf8hwEiT8W +GZ4oxGSzmqOLp3PwiUmJl54kxP0iM08FKnKwI2RG5szJQrTcZrKoTImDdxqN +S3SnCPHcghSHYWUO3m95a2cuI8SGTOPpy1U5WOt1ScpNTogF4x74hKtx8EIp +zDCEL8QF4+03ValzcG1XrsRxWoiR8Y4NEvM4OBvstqWYFeKGhpltZgs4cGwQ +zK8RCNEURvYe0+Sggj/5WIe8EPcUrLj4QouDNWZxEUPThPhsHAQo6nDQf6N7 +lK8oxGt5m5/s0OVgYtPOCfOVhHhYsbXmsh4Hrlt3nTJWFqLoFspicDkH02yW +3HJTEaKix04fA+Dgn8IM90OzhWjRMGfW4ZUcbFkcmHdmDrlf6/Lu1tUctHjG +et7VEOL2PLPNikYcjL06f//VPCFO227XvGsdBye7Zhf+XSBEB2nt7lITDl4K +t02TXyTE76Hzk8TWc/DTO0lRb7EQn3bmtGyw4MBqEnfNRkeIWPi+OHsjB4tt +17UG6wrRJt1yZv8mDmIVAmKy9IRYene15nIrMv8N/Q9xuRA/+fDaE6w5eKgr +kdmtL8Scjcz01zaEb67MOPGVQhRsvfB3rj0H2gWev+esFuLJitn+YY7kPKFD +iPkagj/dG9PizMGf2SvT/NcKMVTTXEd5O+k/xMMg3ViI+/SLI/buIPXIzg1D +UyEqXXPyqN/JQY1Ch/mH9UL03figX8GTg/bFz65JbxBi08LlsgHeHDTNci/S +thRi0Y2pj+p8OUie8kXbYbMQ25Lvq8/Yw4Hq5htbYq2EGFWXpLIvgINbl6dN +LrEWouH19opHezlIkw/a9MpGiNa/xAdVD3Dw963yInF7IVZH7n4UHkz6zfA7 +p+koxKVFgWtehpJ+Z5dftXcW4nqxQDutgxwsL7XeeNhViNIhTdSRQxw8r8qL +K3Mj32/u8PwcxcF04Q+rHnchuihJuK2J5WBz05k71C7y/OF5kbx4DhatmXh7 +lZcQ18TMWC6SyMGmxSEWe3yEOOfzY3n7IxxkZDqE5u0WovrzaZnlyRzcbxY3 +fLpHiMExLpXyqRy4+zTnTwgU4kDchLigNA5EPKgsnX1ClKna/rP9JJn/uPkL +PQ4IMdO3R3R5Bgc2D4LsM4OFeGvG59KsTA7uZW9RaQkV4iF8IjvuDAevbsvH +TTgoxNrEiTKuuRy45arGLD0kRJ5ST0ltPgdDc54r+kYR/no/G1E/x4FhWMyW +szFCnFmu13e0kOhtatrs13Hk/EsHIn8XcXDiieMJKkGI01cO3rO9xIF8rWGe +aZIQ1zYKCu9f4eCCT55p1FEhvhIx1FG/xoHxqbZjd1OEmPSxw+vYDeIn21fv +H0wVou4XC7ORUg5G164Z1TwhxNH6f63bbxH/kVuh6H1KiD6FFhLN5YQfHYff +FmYI8d6/4ndLKzg4rnF0dU8m4Ud+6K6zlWQ+NUVrZp4R4rfmOZm8KuIfT/U/ +OeYKsYaRPxBWw4HB02KN7HyiF/ey8X0PiD9lWMm9OSvEraynjk09Bxe3Zp+Y +VijE6MfZXF0j6efYhwq7IsLnwjtndZs5UFQ/Fp9VLMRUqQVvCx9z4GczYbDj +Mumn3qle2ErwKsuRUCoR4jH2rnPCc+I3CxrKXa8L8euhK+f/veBAXfoTdf4/ +IX4UK8jc/Yr089tWrrdMiHe/i698/4aD5i8JJQtuC3GK2Jo06y4OtIzfDAbc +EeJ164b0pm6CT8N/725XEL7tkbBY3UP6ORwcOP6eEFO03f+79ZGDGcPHL62r +EuKTPuumhV840OjbmZhcI0SztaYnC/vI+ccd+C8fEL3aXKKUvhH9Rb6BmfVC +XJn7dVXGAAcpF9YzXo1CPD4WpkL/4kDWikstfUT6L39UfuQPB1eW5t8a/1iI +/Hhz8cnDHJxys4lf/1SIvw/6TowZIXozOyea8YzwRSX/lugYB533v6t8bBNi +pZOt8sFxAugZy/+5uJ3oIX7y6jFRAWhkqHtFvhbiY3tlYehEAailfDv6pIPk +xSThuVEJATSudnCc+Zb4mYLjl5DJAnDd292+5x3hR67Hh39TBKBj+Um0ukeI +xSKXMsJlBaDq9rqN+STEv7xsCVG+AP7L07DZ+UWIVkrX5kXTApjrtvpweR+p +752DtCQngBavlJ2y34ifBcufTxIKYMLbyN+uA0L0C7Md4U8TQMjGeM1bP4Wo +//XU5HQFcv9/ctNl/xC96ps8U1QSQLdX/E23ISG6bvxoe15ZALUGrhPu/hWi +f+in7AWqAijYLjOe+SfErLja7JtqApgfOHLZW0QeH138a7tKQwArg07LPBgv +j86pY88b5wnA5qPjDKUJ8mjhYCZnvVAA1Onb74PF5XFTjsOk94sE0Ns13a5t +kjzKOF/F3doCuLp7NEZLSh5dFO7qjC0RgNvuOrdkaXmUaxjnk6gngM3+Q0P9 +svLo1zLoNnWFAFyC/xmY8eXRUFZR8SII4O2wmf5FWh7tO3+mL1tFnjfbDkzm +5PGe3K/njYYCyDc7Y+MplMeUvqznDmsFcEArKahxqjwu0d6dPmAsgHulpzfO +V5DHCtUvitFmApgcvLIreYY8vtuXsEto8b+KyzyeircN44lKJSHSOTNzzszZ +7EtEaLtVEilrSkjRrlBahEqJiJQspSRFiyhb2qTupEISWSqSXwqRUskW8c77 +5/N55rmX6/rez8xw4MjZPrVeIYFGbnWB2Q6sH2f01VwkBK46tMTWYiUHzPZt +aS5SJzBIbn1H4yoO1Fyfbi/UIjAy86qV/xoO5E+7HRypQ+CJw0l+k9058HDa +A8+fegTmzHy4Nt2D1TvwsvRqAwLJ5ljl+Z5sP7HtHjiLwDKtlNPvNrDnZ8gE +aMwmkDHb+N5/MwcilvjbxJkSaH/Tu2PqNg5IXuY0/ZtDoFym8dOs7RwYeW2i +vXU+gYsblm229uXArP5jJnVAYPuGmfVfd3KAcSekFy4iMGJwh0LEbvb5JL/o +bAsCm8oipqvv40AQjqujlhL4L3piR+l+tl8Pl6ZoawL3HAqI2BbMgdWhnVeG +bQis27C2V+4QB4gCE70dtgS+C1+sn3OYAwrDT/d/tCdQ8+5tU6ejHPjXJBdu +50Sgn52p0mA4BzLWxTs9dSaw2sj9QUokB1ZM/NBq7EKgdm2mgUU0B/ybNppl +uhJYKcwN6orhALXxtgO9lu332mBCfCwHNDOs9RLXEdi2Q+nIvHgOVBllVcl5 +EVilFAntiRxQ4brPPrqRwKePv1XHJnHgfscnr+HNBH7TKjOel8yBxoePnfds +I3DlhRzfjhSWP/1ghe7tBAZ2zjyQeIkD7lsvxG71JXDv/iaPxekcECneaPiy +k8CxCxfP6LnKzt8aja51uwm0edV/9XIGByxHLj9v2kvgXJPjco5Z7Nr84jbX +/QQuMoixksnmQEP31Xfvgwh0HU1ceyeXAybrFym6HCRwJMDEZuttdj4CRpTf +h7D+yU+YRt1lebjs+cUllMDGp2fyq+9z4Hvj30ONYSyPs0N0jz3kgH2Ww1f3 +CDbfReej8x5zQFazj/p0nMAdpbkFf55w4PzfnczGEwSaExpPs0o4kOzg2NNx +kkDj8043N75g++9Xi/c9TWBWW8VufjkH8uCgTF88gf/N1uI2VHBAVaV18YEz +BG7YPDGF/U+B8p/fVo47R+CEb1JSDm9YnloEJjHJBN55m71oah0HtkRzu1Qv +Epjy6damV285MCjZsOvyJQKvrj2/LbqBA7EhsS910gnkWijZ2TRx4OC/WQP3 +rxJ4TCdXdcp/HIhJ+jSwJIPlx2l6cWULB4Y7NCtrMwkcPvefbWwrB2aQVwK8 +bhH45mj2E6evLC/9XwZ+5xA4Zb5wBucbBxI+HrINzSdwwdkPjh+/s3q/nnxA ++Q7Lu9yBPek/OVCykX/k6j0ClR9dPeDdw4H57+w9TAsJTNg3vN2wjwMv/5mp +vCoiMDibWTw8wIHLy/zT1yOBA+EPpJ8PceB3fdyU/mJ2/iq8s06NcIDvbGx/ +4hnrz2DDfDcpLsgwvb6iUlYf01uF6jJcuDPTe9vDcjaeZ7SwbzwXMiWzzFe+ +Yu+LEXJfyUQufDLv+vPjNYFbl8jejZPjwnxv/fDINwR2ifs/e03lgoV+Sq+o +jkCtuXEjs5S4EPS8ZtGTtwRebwyfMEGFC9WT/HaubSDw5eQDo+9VudB8ROnQ +8AeWzyim/SaXC4s8XHecbyZwYiX9+AjFhUuB3+bOaWH5l1KPWE1z4ZXrhh+N +Xwi0lmtdqCfkQpnRliMH2gnUjRn/c7yEC6c7kwb5nQReaZlzqlmdCyUTLzg9 +7SJwEmMkuq/FhRtvVOI3d7Px+WlZcbpccDfOuCf3m8BzvrM1fWdyIap+uDjv +D3tfbky/sGwWF65NuJvv0k/gxWkXJmjM5kLSm4NRUn/Z+8C2bssEMy4Y/xmy +vjFM4JwcqeK2uVzwa67/7TjKvl9OvZ32YgEX7IvuhY5IkaioNMXj+kK2f99l +IxkyJPZxXNKPW3Dh9ylTL+cJJDqu9P+yYykX5u3WzZeeROJBM2XaYRkXvDTq +f+TKkfhzQu+q2Su4UBvYNH39VBJ3v3gdTdmz8X7+0lJUIvHdco/HMk5coKqf +6BYrk1g7z+NnlzNbLzPM361KouaEaLrehQv3rtmNUeOSKNtx2Q7duLCm07eq +gSSxqWf94UwPVh/DybEn+SRelI3IP+PJhcJTtQstBCTubKxtP7qRC1tqDrYN +iUic0CvL99/ChTnxRcH5aiRW5bW6eHpzQcvAYvx2TRITluokOfhwwbK2PFSs +w+Yvvty0aCcXTL1l+pr1SLwvM0ndeDcX0vKuu583IPFTpdp+jX1cUJ7pW7jK +iERh4ZNqKpALnmYKCiomJHqZpxhMO8CFtp+L3WrMSCy6czR5YggXUi1epJ6e +R+Jku3kKUqFccPhr/9EBSDwviI0ZDOPC3MupKsqLSAyXWM/oieDCqnRfy3oL +EvcYG976HsUFuTnBu5OWkpikOMO+I4YLRnuPXnBfxvqx9plUWywXbOZZPhWs +IJHJkH3yOZ4LcSuOtn21IzFlc87JljNcUFk4PCHHkUTO3yiflnNcuHrcTz3A +mcSSTO+1ny+weu5NW2ruQmLlbXpdayoXImau3jrZjcQDcw7s/prG8lziEFW/ +lsQ2Z6fkrqtcGEOszr68nkRKPvDdrwwunBrRqffdQGLHmqcaA1lcOECeHzN/ +M4ljtcfHjmZzYd34zXpTtpH4eQNnqmw+F5YbrPFq2k7ilebadMU7XDg0PO/C +LV+2Pj9FR/I+F6xufGgK2cX6//k6V/0hF45slZI47SHx6Zi9w7MecyHBIWCv +egCJj2KcBhcWc8Fxm3zVv0ASl9ozSg7PuLA2Ldaw9gCJbnIPLD1LuaDYXHUp +M4RE7bB/5/xfcqHqx3niaCiJCmEv5cIruVCX+PSSeziJ3u9lUpKqufDtBMfI +JJLlc2WU7a1aLgwc8qufFk1ia525oOQtF/7IJ4f/jGH9WSCn2tjA9lvnt6Qy +lsS7R17r9jRxoWhTyfSb8SQGJu/cJveJC0/sdgxEn2H5SnpfLvnChR7eoq4d +50iUju+2W9jOhYMuvB7bCyTuepD8b20nFy5EvJtimEri4+Uvq4O/s/NnZDNP +NY3E8embKs//ZPX47nRk+AqJPE3XP4U9XAhZ8Lqp5TqJCzcmLm7q48LDJ2ft +yjNJVO0bj6ODXChXOtWYd4vdP5u8WfiPC5L38YeSc0k0FS+du3QMAYufH5t3 +7DaJ9Jmh+T7SBHw8az3d/y6JqbI3/BLGEyCicNK6ByTm3rV8UzSRgAHdCmJF +EYkGE8o3tMsR0FboaD0PSfxxWE1DSYGA6Gdzz+g8JdGwYRU9fxoBi9b7SPOf +k7jmu+My7+kEXCmsOqlYRuKFZyqZSRwCFLjL542rIFFy/iyUkQS8bnwl97eS +5aH+ndxfPgEVQfNHu6tJrFesVdAWEvAgLkqlvZa9n8jI5R4SApQ+XLZrfkti +0HD/0zgNAibp+ee+ayBR/zuzp0ybgHeRXSY1Tez5TRM9x+gTcHPqmK+V/5G4 +jsyLMjFk65+Y+vjlZxILR+iencYElHQ+xrI2dp7ALSnLlABbO6eu0g4STzh6 +H/o6l4BRacdFZV0k8n85XxUDAc9H8p6Xd5NoP11j6oZFBDhs3b7v1W8Sb076 +/iBtCQEWqQHO1b0s/2uzb3yxIuCw4ZsN9QMk2v080CxZTkBUx+60D0MkQtfm +NdvsCLAsdp/2ZYTExtcHyGxHApb3Hy/okqLwgXe1pNeZgOKRoeN9MhSGtu0J +nLuGrS8mN15KlkIsOjQjzJ1g/1dv1kyZTOHfUpmxr9cR0LC2ZykhT+HVOaQJ +dwMBlSuP9WooUuhz/WPhps0E6Fv4NpgqU1gmtSnm9jYC7pnlDVirUqhw4VWO +tA8BX2NW27tzKRQYG4icdhJg1OHd6kdRCN25HVd2E+C6oL8gjKaQv3L72MF9 +BMS9H19yXkhh5PojvsuDCLjrdF0hX0Lh0uDpBmkHCbBO60x+qUFh4UGbZX8P +E/BK4ePWVm0K7xdYPXQII8B7UXzAGH0KzVpnhWdFEBC4gC4nDSnUsjK+MSGa +AM0tiR5mxhSKzu7T2HCSreeInJmLKYUysqJxxacJ6LubtGb/XAo/L98yn0kk +ICHJufjcAgrvXNpVfziJABPafVfRQgqFT3ZVfk4moDqn1PuTBYXHfyepWaYS +8JR3J3u8FYXN44jPmWkEjL25aIGODYXGLppjla6xeirGEittKRzf+C9s/w0C +ju5/bHHQgdV78ivflpsE+B379ej6SgrHjq1Gm1wCYlyWRdSupjBl++LAe7cJ +qIv6fVnKjUKXBK8L4nsEqJnKK+h7sPV5bdeKLyQgfuR5lYcnhZUeKWKZxwTM +HVnSdmojhcF3zE7sKSagrOW+/dMtFIaYHvX6+oyN12yj3O/N+rvhcYZbGQEn +7+jqaftSaLvOYP2bCgLc751M89xF4Q5pcZRVFQGGpZd2ndtDYezb/9SLawiQ +8zh7oSaAQnkid87ct+z+ieti+WAKlz1rKbnbQED7iKyc9SHW34iSZ7M+EjDv +3y/7Y0cofFVzdUH+J3Z/54WBZ2EU/tfQaGjYSsDEb0ukxkdS+DLubtrtrwT4 +J2vtsIym0PrhyVOzu1iePI/PO36SwoMfC4cKuwn4XprmX3mawhz7hDbzHgL2 +TnigoJxIYdj8fQ5lfSzvExWnuyax/lx+xL47WV78fhxNS6aw27E878M/Ai4m +Jq39fpFCXemhjC1SJPSfdE03SaPw/YJ8tT4ZEur0D60Ku0qhUfAqnTBZEjKn +2u+vyaBQfeqKhypyJKw4xp8svEnhD5PRumtTSVhQaCa/O4f1T1IXNGcaCc7n +/oQ+z6cwumdOdtV0Erw/p+7g3qXQKffSzs1cEtQkCRW+Dyicv2lvyShFglmp ++uXnRRRyVLQzkhgSDCYWdPOeUHi4yJgxEpNwQjrhTkAJO8/r5XTfqLPn88QD +NS8oNJgkrvbTJiG251mB/ks2f+nfyYr6JPCj63/GVLLz92Dif3mGJOhoPbjx +o5rC51OrVjjPJmHajrovtnUUWspXugyZkXDrv5jUvHcUPlEKH3t5PglfZG2b +p3+gsC8x2Np6Idvf+pDLwc0UOhubGP6xICHZ8+S3zy0U/ss2f3TRigTVsM5C +mzYKV34TfrdZToJk8ViVux0Ufvvn/WTIjgRrkdWA4DuFEp2MuVlOJATdNtx8 +6ieFJj3b161dTcLIaROv0R6WH+llukpuJPzxq/ru28/eF7bvr73wIEF+xl7Z +lr8UTpuYU3nQi4RL3ldvrxxh74PrW9NnbybB3Oe/nnIpHm78dVnz9zYS9i25 +8sJ8HA+n//nrecuHhIPmATMfyPKwSXma7fZdJHS+/WgwS46HKfInf2rtJUGY +u+5V9lQe5gwqW33fT8K9jGNjdabx8Pzy5WtyDpAwVNtckzmdh+rtLeI9h0mI +P9K/UJvLQ48poTfnhJEwa5GH/S2Kh/Sept/SkSRM7soYY8Dw8LZFev+raBJa +zm13uCvioQIdXZR0ioQPD+cvna/Owz6+zZLN8SSUTX3w+bkWD1d/vhBnfJaE +G9cDJfZ6POw6Me/ahGQSfPp5Sk0GPCx/3XGk4SIJ9yssr28z5mHBVy/17DQS +3NzPdg6a8rA+yzcp7BoJG5bcaTg+j4f+0TVv3TNJCIm3CqTMeShKXN06O5uE +X8+Gy3MX8/DogfKn0/JJUKkOrrRcysOAi/27f90hoV1tf3jzMh6em5j7t+oB +y/vjtD8Btmz+4HLnvEckxCjmcpUdedjgz41KKCZhWLj6b44zDx9oBCYFPidh +xwmHBNs17PrCs9D15SS83O/2vdudh/JJjcusK1m/smfJnF7PQ86dCz2z3rC8 +JyQ3Gm3k4bDXz2CmnoT5s1fvadzCw8XfH3RMbSChd5luzZHtPPQ80D5nzEcS +ok2/9mn58VBV3WvP708kvCUdWur9ech0UWfbWkkYX2F2JnQfW3/hpKsfOkiY ++9Ff1SCIh6FH+Jdqv5OQn1u9oeUgDz9rrIyq/EVCqY/W4fgjPGxLvbapvJeE +xQquPkvDefjxPxWj0kG23s3zdEciWR56Lw28+EeCgjCvuOAED49J2eeXSVFw +rfa8jm8sD+0stDa/GkfBir5mP80EHtZI5k6vmUjBjV+bYtrPsmuj08UNUyjw +EJERV5N5eMFwgc8XRQomt3/32JzKw2ruauKnCgUP41+paqbzcIuw9+U/DgUr +Y7Jzf1zj4ZmXM49M4VGwelGUXkEmDy81aQNfQIHsbNe4A9ns+X2ysoYSCp5P +oJot83lopNTZuFSTgpTd1crKd9l8YX+L1ulSUOgVbNzygIf7lTflBBpQcLlT +tCTvETsvfm4FicYULHGsszhazMPrqPD6thkFBsLzs1c/5+GyrPujtfMpcBcc +o3TLeVjmEWvVv5Bde90cHFfJQ+34uluEJQXGS8WVzdU87Ex8MXPhMgoOHZ94 +obCOhwaOWbXbbCl4syhgS9J7HqY5VyQlOFIw7fdpg/1NPOQ3+ocWr6Lga8jB +f2s+8fDi699xv1wpuG7v9XJ+Kw+Vm5JfCdax/cKOFFEHD013lhk4b6BgU9bL +ALnvPHxTUvMsagurz+Fct76fPFzVxo18up2C0/NW2rT8YefzsdShf34UKA3+ +tKoa4OEvqjvDdA8FVT7Fq3CYh+wHtFzAfgryZSYH5I3ho5Nz9PV7ByiY+mbq +zasyfFQ/TR0eOkzBx+ucwWRZPoq0A85COAWOvD1rE+T4uKZr+q9jxykYit3V +fFKBj1m3A05Ux1Awafamg9HKfPSIoP2oOApCievzombwcfRMwnnvMxScMIzn +R5N8fLXES+nheQpc1x6XnKT52GrMeSufSkHIzh9O8SI+HnJY1uWVTkGyufrN +8+p8jKuJdSq8TsHJjLSZV7TZ520jlVRuUhCVUPUlR5+PV/GN+s5cCtZOEpY9 +msXHFzHTzr0uoKBFf9qnShM+2p/r3aL/gIJ3bpTep7l8HLdE7WzcIwqyVYsL +eoGPtYddNQeLKfDWDN8nZ8HH7horwfoXFKhe/b1XbMXHaRtuHXn5kgLqR/wd +WM7HDeOtV5hUUXC/eMRkrT0f51i0HLtWS0Gr1fMxB1fy8au3uQHnPQVBnHCF +VBc+Jp42tjvRRAFnYdO2Enc+cjISvki3UJDn4qv0bT0fP4XM/h3cRoHz0S8T +lTfxkX4/GDTQycY/1OG4YBsfHb0fH93bzeqbrdez3YePIX98p/b3sH4Id3Qm +7+Kjy8IBXuAABf3X3Oa+3suu51vfGR1m66ko+iYdxMfzQ27vjknxIKLHacjs +EB9tHmtHKI3nQbPztx27Q/k4XqGw9OIkHvhwbJfkHOPjnifyF/Sm8mC7neOx +H1F8LBk1lC2exoNE+SpDvVN8THGbO2XVDB7E+V5esSuej71N87N/kDy4czWr +4e5Zdn/C6l8RDA/mTKhvGE3mY0xnRr1YwoMWpckO1pf4uHymm+czTR5Yh81b +dOYKH2/qJp/ZrMcDJc8NuW0ZbL8dyfvlZvFAejToosktPn7XODP5tgkPCKVw +hRN5fPSOKrNbO48HbY8jJ3y5w/J1NMBm8kIe2F2JOzavkI+bgn5IFS7hQUl7 +QVzSYz4qVgbt3rGMB6S5rN7AUz76t+29JrDjQZD8dTeXUj4aWsxNaXDiwRfX +e/yiClaf07puCS48kPqzPkhYzcfrWXe+OKzlgZFPza7oOj5uvrtozjQvHgjn +mE8ceM9HY81lXvWb2fi3W803feRjUsvSdcnbedCvKUW/beFjpf5jo407ebC4 +7/1V63Y2Xodxu/5etv7DD9/jNz7e3bMgYDSQBy7uQ4WmP/l45LNPV9UhHlyy +6bYr+MPHrt71lleO8iBgZf95w0E+1s16GB0cyQO31wGpt/+xfEmpo3MMD6YX +duuTUjQeS3NuNYz7/7pyp4c0jTGuY8Yon2X1fZygnD6Oxp59X6b1J7N+bJEh +OifQ7PdWmajpEg9MM5vCZ06isT432Pj5VR441bS7BMrROGJeY5OXyYPRU10J +JfI0zjDP8L6Uw4NpY+7PVVCk0WtRS2JcARsvm7Jzn0ZjkPPWNxEPeFCc9aM6 +U4XGxOkzBYcf86AoUrpkSJXG0iLD48ElPPi+ebb6ci6NHnP85YPKeDBTauuY +VJLGrxaDecGVLE85gSv+8Ggct/Nt0OEaHigecFC2ZmjcskBtR+Q7HtyiGxwv +CWnMNJ0UFd/Eg73Ko/J/xTQaS994f7mFB6lJeZZO6jTW7jBxv93Og9zijtFs +TRo1T3Vzyrp4wD14wXSKDo1TmxSVP/3igfyl8j5vPRoLjTtth/t4sO/nTtOK +mWy/EyqqucM8WK59Vlp3Fpt/5bSUuVJ8yOUsWRVrTKNds+j++vF8uBUTYdxn +QmOIto/a8cl8mBvkl+Y2h0b5jI3fCxT4cL9XKbVkHo2qRcentqrwocYiUlcX +aKz6vPG0KsEH1+6fdkkLaex9GhG4nOZDdpH3xPEWNJZbxVSEi/nw4jV/zW5L +Nj9yTzzV5INi+myLL1Y0kh2NKK3PBy9hS8VKGxpTp0dutzTiw8WbDj2lK1h9 +ln6OjzHjQ5LkyYN59jTGLiqY/34BH6ZJbRPfdqTxUlaNj5oFu7aJMdJ2pnGl +hNLcb82Hpsf+36+sprFma+CeSls+qJRvsGVc2ec3fFyptpIP287nuKe40yhy +XFIVuoYPQ4aZXGodje/+u9/x2YMP4btuRlzwpPEvLLtmuZEPJXyVG/yNNFqs +UJXP3sYH03+LD6dtZvm6YSHk+vFhcW26gsY2GocaZLsi9vBBfOTSmpztNOpt +TNkxFMiHxxNurjf1pfHRrxU3d4bwIe7MfPWSnTTmePvkfAvjw+4rb3LsdtOY +R7kFb43ig/yfzn8f99J4s/bI9G+n+PA1XV7Jdz+NEimXo36JfJBZWt49JpjG +mW/XvRw8z4fGzuyk+IM0Cv3Uf4Vf4kOP2iolzcM0mv+0GlK9xodzJu5uT0Jp +vJvu3Z2VxYcnYzcGrgmnsU+TtTKP1V9L1bc3gka/2PCslrt86BML5p2OYvU/ +NOlwaBEfapeYtevH0Air0p3Vn/Lh3RuOX/Uptv81pobVpXxIVDzc4B9H47n6 +QvJgJR9eeRhrzEik8Y65Fkevlg+fFoz3eHSW9WNLvO6X9yw/258e3HSexrOJ +il4XmvmQ9n1JlEIKO993yx+uaeWDgsTv2MNUGndF9JqT3/iw7pto77Y0Gkvu +1w18+smHN4n2a7hX2fnkF7Vn9vHhL6fDuOI6jcvfTlYJHOaDu2KrfEgmjS/M +zi6SSNHw5L1Fq9EtGnU5TpcVZWjITVcq+p5DI0aOaoyOp2F2tEvStXwab0/5 +2vRjIg2N1/UOeN2hUbrQ88l/cjRESnK9mfs0NjhVvK2dSsNqV6ktnwppPLI+ +UvRSiQapD9Z70h7R6LhofOZTFRpmxT1O3PyE5d3+rs+jGTScfnf2tU4Jjd7d +M/wLCRr6wlWFfc9p5FzLLnzAo2Gh8tF4LKPRYaGszUOGhjMZumonKmiU+XJX +DUU0PDPz/ej6msYnAjeH52o0DKVcKdJ+Q6Ob8PzrSk0a0jNMS0dr2ecLhGnv +dWhIXXxequ4tjaPbbla16bP1RizckdVAY+D9Adc+QxoS67Plw5to/Kz0eqns +bBoaer071v9HY8VY6fOkGQ2nNGWl4DONvjZ+zobzaAhz5LnQbTT2Txg+aAM0 +aI+z7x3bQePqJ/EztiyiYdvVZe/bv9E4nGCgFr6EBufoYtnXP2jc4PT21lUr +Gh6r+h+794vGgOSY/DIbGixqhC7pf1ieR3aYdtvS8Pdk+uHT/TTuJxIWqzrS +wA+rlAn9S+O1Mp335s40qPsebdvzj8aXM7cP+bjQQN7K0/Qew6D4T0x2ihsN +0Zts6zylGXS0bh6s8qAh6tKaTrfxDI7Vzv04zouGTz4fd7hMZHDSTi/PeZto +6JTp9lotxyDV7xG5bysN+PlGlctUBle/IFbf3k6DyYDZPXclBuk5qjU9vjTs +fPSGt0GFwduCjyNG/jQUbMyR3TGDwZquCf8F7qXhaC8ZGEAwGF45O6h4Pw1p +u7bvC+cxmNtJ1skdoGGBzIjMGYZBs6Bdv11CaOBw56rdEDFoMjz6NiOUhj/x +yS2P1RhWr6Tjw+E0rOxKnfNOk0E7Kf5Uh+M03FxVb9yjwyCx+OC2GyfYeAN1 +7xRmMrjOJvfSuFgaZKUsJDNnMfh20+P7XvE0uLXUCp1mM6iqVXS35AwNcbsX +1e83Y9AhsyJV/TwNESLXhZfnMShJowJPptAQxO/Z/goYtL3+fengJXYeQrrX +DC1iUGZthNKmK2y8Q+aK2pYMXky3/FB3ndX7Ynu8hzWDupVxmUuz2H4/fu9M +WM7glNrPYY+yWT3bd8x4bcegemSR3+x81s+FJwWTnRjsry7YmX+HhlVhx+St +VzF4o8EvxuABDV1R5z5FrWEwzO5yxe0iGgaucy9VuTMYcHaKgdkTGpobtjjM +WM/gx0nhJcUlNDhI9/713MDgbL3uyBWlrJ+8+ak5mxnE3rkRTS9p+BX4xlLK +m0GDfv9nvq9Z/3/a9jv5MKicm2E5roaGO7wNtzN3Mtj7QkYlpZ6Gu+kVR8ft +YbB1cZGhWQMNb9au8vEMYLDkHXnjfRMNB9Ja9hYHsfXThw4Gf6KhPNQ9XXyI +wfNf7e8KWmmwlC0djjrC4HtfFdeKrzQk+BuG94YxOJDv5re/i4aTYcVLPCMZ +zL796p/GTxokDzMWv4lmcBEykz720OByTi/c4hSDWkXi5IR+Gr51ZSk+jGPQ +OODBA7shGjZNO/Hd6AyDz7prt08dpUFryQo6/xyDS68cvF89loGclsM5hikM +zvpRd+3MeAa+3qlIv3uJwYLF8gvWT2LgsU279IIrDA5e8AvXlWdgm1lKbdl1 +BpuLXMNGFRl45veGWp3FYO2pxYtqVRj4FbO/rSObwc1H7rzI4jCw3DDF6FA+ +gzbvHbmRFAOO9uuUZtxlUE+lfuFWhgEmsjf09gMGly+Tt1ouZuDNgYxYp0cM +co61zjLSYKBe7+PCgScMNum6yzM6DLxeI3fx4jMGrTeebGI5hgtVT29alzFY +7Jd9Q8aIgRfvM/cOVjC4XjTp4LAJAwFnQqWyqhi8bD1+3cBcBkSbBc6etQwm +KIhdBoAB/yUBweQ7lt+9Y3cNL2Zg49yY4IZGBoNxZb6MFQNTnoavTW5m0LTz +l1hxOQOKBimanp9Zvsjnbxh7BmR0tTq02hl8Lv5YbLySAbUZFy8PdjIo3e85 +auvCQO2RcI+XPxhsp87H7nBn+0mLVL/0m8EDlt+OnFzPwPzK7eOD+hi897T+ +Q8FGBoy/K4x1+cvgLtkxGf9tZYAa8RfNGWHQY67Gr6k+DHiezt3LjBVgUPGs +x4t2MZBmLz1WbrwAZV+IqeC9DCgfePL670QBKtTQKvcDGQja79XxfYoAEz22 +5/49yMDi1SGrWxUF+MV35zCEMpC/+bXkk4oAvTUfjok+xkDME/W1nzgCbA0Y +Lm2MYuDgf2GybZQAmzLHr9M/xUCVyVj9bkaAybzaqsh4BpZWN34cFguQ+hQq ++XqWgd+f/PlTNQVousV1+7ILDGwOsB0W6wqwc86Lm/mXGIjmzggxNxDgjFuu +ffRV1v+dyQXrjQX4KK7OPu4GA/F/qq6FmwmQGUdUTMpmYEtq1fqc+QK0Jufu +PJbPwJ/0ph8fFwqwqMh/+cR7DFQIPNcoWQqwYYP6jlMPGVjT8TPbepkAv/3q ++kA+YSBw9pKhY7YCFIQczrj1jIHKI0uXljsKcNX82maLclbPhRPTFFcLUGg/ +9kRLJQMhT56prnUT4J381Y+O1jCQ8as9L3udACOEKw9rv2Ng55IJh8dvFKCu +wrXP7z8w4JvQEeO5VYCHTur3RH9igPM3tOPpDgGuXj3hkUUbOz+Phy5o7hLg +5Bd7HGS+MZDidO1+4l4Bnvxv6FFpNwNdc6ZaywYJ0NPLTinuDwPr5LrdDh1i ++2lY7+o1yIDJTuMxw6GsP0WrMkxHGNhlNGnhwQgBhkXFTZ4uLYD9ts/0x58Q +4H9/c2MHJgjg0MBgQ1ysAF00o5d9khPA95e7bNUSBZj01sSqSlEA8NXwAp4T +4JzLU84/my6Ah2RwjcdFNr5Tqv0TQgDq5HOpcekCfG1UeuApLYAx98tm51wX +YMWGi/oVYgFUqx0IW39TgO9MjwY1agqg0Xr60Iw8Acbc4fr90hNAoqxcRv0d +dn9wOS1vxMa7ppp6rlCAdmifMtNMAIqGxr82oADFv9KGXRcI4OKvjJtGzwTY +oye/4sRiAci8G2qTKxfguYPXrjyzEoCl4r9bnZUCXNpeN32crQAGo0pVX9cI +MNDIrmCZkwAKEkoMH7wT4Knb/IQkFwEMB6WrZDUJMEfqcvmPtQKYtmBbVXqL +AJd9Pb5t2QYBFK3Ysi+9nfXfsi0ye6sA/q1YxMvsYvWazJ1P+Aog9WfPu3u/ +WD/0vybH7BbAs6rSwld9Ahzzzu/hxEBWP+8tjR1DAvy+ZVZ+9CEBaE2vsZki +JUTuE5WzqmECMJTfKDYZL8SG/W5HbhwXgFv8u8Btk4U4ZfbdSItTAshUWeqV +riDE03Lzn39NEMDJzfq9rSpC9O7dbRd/XgDGKv6WeoQQn69aYb70kgA23lu9 +M4QWYkaaTp7MNQGc8447/l4sxBljOh+WZQnA18o800xLiF+nVgedyROA9tju +b2n6QhwuzZjoc08A8UfObVQxFuIuz7uHlz8SwIScgpkn5whxxP3hqFGJAFTn +a2xTNBdi18V/F9XKWT9iV2kkL2HrvW5xSFAlgNfF/ON6NkIMaW5/IKln+cr7 +79pLeyH6yZT4zfoggKtzglP8VgmxINPq8bIWAYwErDnOcxfik89Bz7Z/FUCv +xo6IOk8hzuz9c/nMDwFYGRreSdgiRLN5nfsq/gjg8OyHMz18hOiupb9x8pAA +8uyyOAa7hXjVa360k5QQZnQtOCEfyOYfNJx6fYIQ7j+0zfpzSIhX3jUqjJcX +wsz3Tme+hAnxzLLc2z7KQij8s933Y5QQ62994bVwheBcvNa5JVaIzkvW7V7H +CKF0X4rPzzNCvLjgVUOHmhBUAx0aZVOEaNRyNuCgrhBCjFajVroQbdoGd/OM +hDCOY7XQ5YYQrcb09ZfNEcLap4fCY3OEOD5ls+bhhUIQrKXya+8I8fBraePF +VkIoZ6Z2C4qEeMFnncU0OyEsUlb2DH4qxIh9f0N/OAtBo7d41qcyIUouzuXV +uwshyevUKfsqIS4WhJuXbxCCk2ndxVf1QlxaN5N86S2Ez0zdiZVNQpTef6Hp +3S4hzN31LLzjsxCHls+807NfCNVmtXcjO4U4q2fzW+KwEMan6tka/xIic7Le +3z6CrWfflODufiHyrIwex58UQoJBvk/BiBA95Lf8aE0UwulJB1dHjBPhlrxj +sy1S2P4ivnlvkRNh5NZv1XlXhHDV9fKHldNEGHfWoE/3phAuhgY123FFOEnR +9uP922y9H6JuuDAi9L918pnjQyG0j9fd46cuQlib+XX4qRBsCuQCEvREqHqu +IqzgpRD2rdP5XmoswukuFz4cqBHC6I6hqZPni1Ax2FHXuVEIDqWOlJuFCOfc +Kyqa/1kIVV2nHB/aiDBV3v717G9s/QfO/NZyEqFzjXGGeQ/rn8vnOZmuIry+ +yDXObUgIsbMTdpl5iXD4SfDbCGkRPGwJaXy/TYSZeXOePJ8sAhmZuUWRu0Q4 +MlkrZbqyCFqSdNZZB4pQN/FTUQApgh2KKfLkEREG/5q867tIBBUzSpVHI0XY +6X1Ifo+OCEINO7EnVoQ1F5d3TDUWAUxy8fqbJML7Uu/XPJovguak0yumXRYh +7dxZFGIpgnYzh7fzb4hQif/Cd5WdCDafuuJ0IE+Ed2ZYVS10EUG+/1j69QMR +DpT2mS/yFMHL/9wTZj0V4YY5lKaLtwh4Q4um3Xopwoyuzp9Hd4sgSufX3zm1 +7PkJ0VIvDojgbNj2nI8fRCgZs7Scf0wE55zSziW2snolpj48eUoErwThwg0/ +RLjRe9dy1XMieKeids+yX4SDuqq9d9JEQDa8LzUfI8bYyEg935sisBKvLHOY +KEa65ngw3BXBxc46/SAlMTYXlntoPRHBs7WLAwsJMbZOUFyv/1IEE76tESmL +xWizc6ucXZ0I4gSvc8N0xaj3yf738Wb2fFtwhoKJGAMl36596hDBi6a4xAJz +MVov0n7h9EcE31a+kN2zTIzT42Z0fxlh9awMibddKcYtbQNPT08Ug85ilRoL +DzHyG850r1UWg1TYP8/VW8X4J+IwY80Xg1Wq4tdj/mIc7VgydaWmGCJKX0yu +OyDG3Zxnu0OMxHC0ce8BiBCjZqGf8isQw9RHyb/LT4txReuVu3NsxND9W11t +zwUxiiqGdV+tEkPipZdNC66L8XVUmsMRLzFs9LL6TytfjL+Disa6+YohdG7t +qOkjMctDqZprkBhcZmxT8S4T4+QFsvkhx8TAmJqOxVox7lozmPIqTgxjxk3O +Mf1PjJNCy7sXporh29MCxfffxNiR9TH/U5YYPr9IEF7sF2Oj2yqZzPtiOB4v +3xUtLcFG1+vjUp+LYeS+cnDaVAkm7TX6+qRGDFyFJ92fCQnuI4e+Kn4SQ4Lq +Dx9bdQmefb7QIfaHGDat+U+nfZYEDXU2BJsPi8Hh8d8dWeYS3Lk1vlI4SQKC +pkMHU1dI8JNmyWPTGRLY7rG+qMRVgve3xLw9KpGAZSXvLHerBFWnmGaPN5LA +FKogOm2vBEPUy37jIgkM+6dqrj8qwYoUbc8CBwk0yvyetvK0BL+bBL1pXS8B +jYKgkZBUCTrss9dz2ilhvw+nFbTdYus/bBk89rAEjv37PSOiSIK/mGP1v09J +IITWE26ukOCLttC9apcksFrHuS2sUYLO5e9yL+dKYEGP1qm2TgkuPmz7b1Ox +BNa8ivGO+itB6xsq3XtrJOAqOtayd5Iarv8nMq/7IoG8yPCQTK4aBv38XHO0 +TwJORxv/aGmpoZTNuNwIWTXwIdapDM1Rw+6qm/JfuGpw7fnWT8RyNeRM+upw +TkcNMh3HhsWuVcOifF/VbFADKmqXm4efGjpbNutInNTgoY/6QMQRNRyLy9Kl +t6iBwSoZRilBDVvT3MqXBatB6RRu08g1NbSy+WksHasG8S//7HYsVMNbnWsr +da+qwfx1vvuVX6thU+7OsppCNYgInFW+5LMauo1TK+qvVgMZm5Hk7n417M1c +l5b6VQ1mJOaEKU9Rx4S7F77UjqpBeNz2Q4UCdWwf89XzvKo6rPjztK/TRB0V +XwnDh/TUATYb12XYquOvnwNW/5aqw2knnZjRTeqoUZ+4PMNTHbZU5+n8OaiO +6zIutcoeUAfJB+2tp86oY57oqr7krDqs5+zOa8pRR61VR3XlbquD059by9vK +1bEnx6XxeZU6CFf6bStoVceo3SdXeP1g80+6DaukNNC14O3HbjkNWBa/x+A9 +pYGWuxRtgrU1wMW27LfVHHbfyvInZ7kGTBpMzL/vooHCAcvBRh8N0DF1dTXb +r4GhvPtZb2M14MP5nJLmJA28vUXmvuiOBqQlvp2IhRqY/FCc2NSoAWGnFJp7 +Pmpgaf78v3xpTQh5uXU0UVoTzeh/m6ZoawL/5r2cUg1N5NTurn/prAmqx79v +yLLXxCYZ41PhoZrwd1VvyLYgTRz7a5uBb54m7Lql6TTzmiauWS4z+uizJkyZ +bGNrXKeJCRVTQ++pakHjuqSTd8dp4aFJenczVmjB0+qRhn8mWlg9ZPvsR4QW +BMQEG3v4aqFuNOb3PteCkaiLDgsztLCurchp0URtKJlcKxG2a+HD5hmTA+20 +wevMsYVJGtqo87bUwuuCNhywab26bqc27luzjPfvpzYM3ykN3vRYG9f1ee2P +sdGBpZ6DTY3KOjivc0zFs1wdMJrbHe3gr4PmDvLTOgW6cG/M9+udH3RQLM+7 +oZ2mC1sX/5560UkX779KuWI2Ww86NRfLvvqoi252oW2ObXow/bLWfZMjeug8 +TVy6Yq0+/IkrHiXE+ri97AvX56s+2Mzq3DHuqj7eqeGen545E7SvvFbPd52J +urUugXX9BuCf1Rm78LQB/g8LySsb + + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwV13c8lW8UAHB732Vcd5RVSQNZWclNGamUFEIyMqPISpFSyEgUKRpWRElR +KuI9IhUV+qlUQiiFUhnJur9z//L5ft7Xee973vOc5zzKHge2ewnw8fEd4+fj +4/0dX1IYn5THhp4BrfN0RxIUbVZs0rnMhsdC84YktGNItvCnC2xIsLfkk0FL +ZMuZx2ewweqxUhkDXQtpJzXT8Pq1i+co6KBBycbOZDY89BLSl0OrkBMEYxPY +4HL+ezML3aErsH7FCTaEBidP0tDxztGxHUfZ4NQndEIebRA7VR99mA2/FlFm +FqCHr4fwLw1nw3+dfl6y6CutPzltwWwYEX7awURvm/Q7FhnIhr4ZI21FtMDC +L4SKHxvy76b08t7n7no3bsteNhAJSQa8eN7+H9eGueH9B/uildHMdPujCi5s +6F8e5M2L9+J+e+1TBzZIFATkK6CPdm+eC7JjQ5GsZ+si9CrhZ2tYW9HBJ4bV +0H0r1kc1WLNBqr5wIS9exva6mgALNgx+cNZRRVtGGs7ImbEhK4BfbwV6+upd +I8KEDV4vpfN48W42aR72NWRDrs/FK7x4rj9KH9L02MB3SzVFHU2VVf1XvYoN +F9Vd9XjxHhvlGexdyYZ/HJmFvHhh7gsOkdTYUHs94bcmWu1U1v2qRWzoHh1p +58X7cEv67x5FNrTEShTw4qW8Ob1anM2GuFnlvdrotbNi4RV0NpR9ORvNi/dL +5eQ9Z2n8vnN6RqvQ+Ru540JkNtgvMR/URe8IOqx7S5wNTDNitQZaNGsixEGY +Dd6Nyz/y4lXXBlXy8bNh36bTwfrogIHhPyWzLHDRaZ7kxVOQ9NG2m2LB/YG8 +JD10m1Zf8OwYCzKuO1CM0LGOu+9cG2XBZXbjUx20bkznL5thFvxpVrEyQH+9 +Zrdq6isLiDHJmjXoiy9eHcjrY8HL6/P5q9GbxzaWW3ezoJbVSDJGzzOf/Bx7 +zwLdI1UBpujbHI7G5Tcs0DDPTjREe/jUBFq0s2AJP+OLCTrhdaDXh2QWiDzy +bd7Gy19n1WrVBBa0p5J6N6NX9nBFD8ayYO66Htjyfv9weql4JAtax8jN23n1 +/ufDkZ2hLGiK357mwPs+U4u25B1ggc3KuC926GfzAQo//FlAC7l8xRHNEq4a +NfBmQdnDf9I7efmS5MJJdxbE6Rs37EITNKuzbS4suHH2tIcrWpqR7rnAkQXL +H4hMOqH3KnzQ9bVjwTv7rtN70FWLF4nctWFB6LjWWhe0+IqAd9yNLOA47Gpx +Q9/Sn4/M4mD+lVyZHmi+tZab+o1ZcDtLId0bbbchbYGmPguuW8ke9uT1A+v3 +Pw5rs0Cp4skXH/TUNhWiSZ0FiZ3mw3vR1g770qSXsWB+25NtfujLu++6uy5m +gf9eseJAXj15zmmXKrLgkGzJM3+0mb+F0CSLBWFKCxgHeOsl6MybdXQWXLLr +3BGAHgzvLDpNY8Fuy/rsIF69nvDfuESMBVk7t2gcRHcnVrKCBVkQsdTNIxyt +lTY7/GieCV2+Zq9D0CfPm9eKTTOhE47NRaDfXkpN3THBhEz6RHwYb30UvNuT ++4sJu1IZNyPRR0qUtEaGmXDNfm1jNPpVuZ+AwSATiobzfI6glaoq/jvRxwQ3 +L//DMeiDj2YKWz8xodJHTJ93/5PHG8LZ75nw+e2BdcfR/q1vGZWtTCCuVjBO +oB+9URyab2bChKS+TAKa0uVbY93EhENNQ/MnefXXdyflfD0Tqg8I/znF61ff +pnf3PWLCd5mzE/FokdH1mhoPmKDUWzWQhN41kcJ3uJIJxmLE01Re/5h50/7k +FhO8rFX6U3j1zq9YQCtlQlua8+M09BKf8vuvXJmQNi9TUoyu8EvZ6e/EhPiQ +199L0ZwAvzFheyb4NvttLUG/3G+RnmfLhLGVJak30U7BizRNtjDhiXDP03L0 +txC+l51WTFD4WGd+i1ff4Z/8Qzcwwck2M/oOr/9GVotROUyos0ik3EanHckq +umHMhN7dquaVvP53JibzFIMJMxNKrgQv3w+2hpi9ZkANhz38Ae1cs5LW/ZIB +i4Z2LOziPa9WvDzyOQO47fZ2n9Dh8HWz3BMGrE1juvaiBRsahm4DA5p/kS58 +5u0fL/U9FMsZUJ/Q4/2N178+K9rOJjOAuSHTfxIdIfFLo8qcAYZ1D4/L7cL1 +wlX46LOOAd8epSbT0ZPjWxKYJgxwoFdwGWi9oSidFgMGLGt3D2WjQ3tu9ETp +MuBuRn/iAnRlx4dkjVUMgBZJfkX0n+fiBr0rGFChbqOohNYiDAbSlzJA1cP9 +ogo66K5P2vpFDDjWZCOzBO3v2vO7jY8BAduCVuqhXSte3R2ukQfLT1kSDujL +xXNul+/LA7lUMs0R3XVpJWlrpTzYZc2scEY7JyR5VZTKAycpx3EP2tHFgh55 +UR6mJ6Xf+6K3i9RFiETIQ5dXzvojaHOnMiNlbXn4t2+KPx+9WLP0UJi6PLj7 +K+0pRAsJFVc9V5MHDf1tUIR+XJarfVBRHhLD5PfcRHP4M5Y3SMlDiGs2cR+9 +5vphltcgHb5YGcu2orUnLaevX6LD7A6jNC5aumWDwVwWHVqDDgULOJHg99V1 +4bbn6PBYmuIojL690fjPv0Q6LDtx8IUkWv2yxpB1BB0yQK+XgVbbIPdhxJYO +A9z2Kh20wtm+h6tE6aBkN3VuH9rAM6SxQwD/3zh3fD96u65Q66F5OShTN9t1 +EJ3wdskATMiBk/dD9Uj0L5Yf2XZADj6FrFmTgK4vGPUIrpeD5VrwrgC9996s +ZMUROdjj3dvVgz4af5puHyEHYrKDtf3oCw4KytMH5WBZjHbBIPrlP9PVZv5y +EKNpVTSKXr32hNtrRznQMTl6iosWeyp+74+eHEwsqbNWcibBjU66q84vWVjo +f9fIC+2dGDYdOSwLb3dSp/zQSkYd5+GrLNx9FvFpPzojJ711yydZCNjYn3UI +fdRVap1vsyxoWV8NSUFvH+BffLlQFkZjyJb30FOjI99FdslC0M59aZIuuN5z +N8Vv2SELYgk/tWjoQNtSlYytshDpUwN0dF+Fj7OyhSys/ntjsQq6JazvhbGO +LEhr0BYboq/MvCsPIsnCffeefb7oDaINYR/qZSDi6bTFC/Tt0hAl/VoZePhq ++53X6AU2i1vOPZCBmxt0qe/RExlxSlvKZUDiVv/kF3SRilULcUkGpP9JKvDt +xv1p7UulaxEyIJsr1ayHfhX6ruWAOl7PrFErRhsxToW/UJOB7SWh8bfQRTUG +yssWy8DFh2Uj99AxAtnhfSy87nTjdSN6VZqL8k4xGRAvreP2oc/d+Bxu1C8N +VksviSm74vroG1YWvigNJQW5cwVo7vFVF+9kSMPy+ROjN9BFymFU1zRpUL5Q +MFCJHnebn69KkIahHYM/GtDpPdQu33Bp0Jje5DmAbu7SO//CThqeZvH/Vd2D +6+FdjEQGGe+PyxevRPeHNx7nSEiD8PN4hUfoJLr4vxFhaSjNXGz4BN258+yg ++RwNNgd+Tn6HDusobPw7TIPRhqW3Z9G32p8fdX5Og6dRm95auWF9vJAZUzlJ +gzNfr4p9R/tsUp0NjqHB157F1uPoW80GwvWHaUBKqMrkok2e75bfE0wDIdFE +B7o79vOmYuMcVxps2WpzZAM6E4xPyhjSgCVfYleAlrjnKSf0kwrW3D2l+zxI +YKsbrmD3nYr78siNQ+gLlaeW5g9QwYY6WheHXlpRZsj5SIWdXDdqLnpD+d/d +Uc+o4HHcIOANOqYkuWg8nwpVkU7M9Z6Yz8uV+l8cqJCgxwfL92I/ZzqRTtpR +wVSsrdkAPZXB16+ylQpnAnsGLNCzyVtS3SyosDKG39ITLXx4cOCjLhXeWnY/ +uYSm27PPvqZRoSzx3X1pL+yvC0Tex2RR4HDEzREJb+zXMnYna1MpoNUUzcdG +H5LI1ZyJo0Cir6fqCvTxKcP48FAKNDDCrm1Cn+0I1Am0pUDKnbmI0+i7ODA7 +SVIgTSUgRtaHBP9mC830Ysgws9E0f5Uv7t/vMyWuhpOBpmxx0wzdfC/+tdh+ +Mhw89Pv5DnT2fl+PLhcyKN0UMI1EG/WuiD1hRAYR/TZaA/pIQ0V9+wSuE+N9 ++538SDCXCJz9ASTYeY+TecEf+4P3HbFOzJuchtnKMvQrs/y2dbjObd1C39f7 +89bnCTc5a9xnanLChtFrAy2PPVpKAo1mxfum+zD/214REv1SYC6oETaC5pfv +Wlu8SwqSBr1OOASSoLTCd7n9NikwqMkRCEZvt5mQE7aUAttZ8tUkdH4c+YeH +rhQMt4SvqkNvGOfkKFCkgNgXc191PwlOtV/7m9koiXPlgbA5NDXlwO2TmpKw +12RbweMgEjxYOpujoyoJj58+kupFuzecSuhbIAk9Qs1Zc+iK6TxXjoQkfA42 +lzEMxvOFX4fU7IAEjKptL7yDvmBh6BeSLQFPi0q3lRzE+ucXVPEQlgDfFaPf +KkPxfTPvF92eFYc9xUEp/6FdlgWs4I6JwwPdm7Zj6Au2b3Qv9YmDnE34Op0w +EtDyiy3fEuLg4DRffRctsH5zoPVhcQhaEqtbF06CgZOZD7RHxcC7a8Bs5BBe +Z1qbHP8qBqq3g9ypkfj8svn61k9i4HJnR5Eu2uWNT0vACzGYkTxZEI1+s8So +u6hEDGzzJIJoh0nQ1NQtyN4rBsdl/MM4R0hQLKa2VfC9KHA/tdnVRuN853Lo +7/lWUVA/0SgwhN5b/uzq8iZRqKocGqAfxefZ+/2yrRSF31bH1wejswtK03NP +iwK11SpILYYEqWvVO0zMRMHMg1mTewzXU6j2rkM3RIDFCH1YfQLP209j+aXy +RUDBodL0J1qH/V/J1Qsi4BBVzqdyEvfD+pDppjgRaImu1UlC+1Pu5ci5icBy +g2Cv3XE4j5Tqd1fIikDhQT4tSgLOD71rPH9EC0OfHN08Pwn3N6aWWlmoMKSF +up/uQjfbLvkRsE8Y3lyJpcsnk8CmgRQx4igMMUbOIylox6LupGEdYahuF7t1 +JAWfF3Cs4vt3IRA7YPLUKxXnxakG/q87haDKsMhm/1msR60HTdc2C0E7d3DN +HbSc/81kr/VCcCZ0Rdg4OvtjhtyXVULgt+tX45FzJCio81o2ICkEtkYSQ6cz +cL47KWrbVy8IjWPr0+A8CT5SN+V2qwsC6X58knsOzidmPvMmSwRh6PVm1RK0 +dcgJl8sLBOFNirfkb3T1mxqGi6Qg1Ny4U3H8Ej4ve2X6+28CcKM8MrroMvbT +xeTYjgIB+LnPZP38VTwv6rd7NjMFYKnag6xvhRjf70f9MpoAOOdZjRhew/jZ +4kqJYgLwtyX+XDK6enZdl+VffnCiWH3ULML49RU7nnTwg3ZsmmNUMcbflGEO +Z/gh58zVbUtKSfDe1WFplTA/DH3MiHhYjvnZSilxmuWDmaOPzy68jfk3fbqc ++4cPyDOB7Fh0tZK+hlUvH1x/NRu++Q4JLvXR9T5U84FWo5nn1wr8vt5vzeYP +8EFh3ViIZhXW68fSRyl3uURENLuIWYv5e8SCN3lcIljQeVsKuvhyUoPCGS5h +B43hXPSpPf7Nt/24hAyfqNFgHQk29S/r7FDgErkPvhc/AjwfD10fW5A4T2Tb +njsT04j5/1e0vGz3HMGEH3S/Fxi/xdtNb/Mc0bK7Laofffay6vlaozlCZo7r +4voS87WuiP+V/Byh6yGYuvMVvs+pa50/22eJTdNv6za2Yb7kC+NXWcwSO52z +6zZ2YH3p5fVVaswQ6XEBrje6SKAr6s5Ys3CGqJv2Hdb7hP3pvZJNo+QMYTyn +w1+PfhaV+7Dj2zTRyGY/7+wmgX7j1bSJ/Gnic03cO/Jn3F/srqzVl58mSGMX +nTK/4HoKysmu5k4RbOd/vpRRnDfqz8q/HJkisgJVFR6iT9OSMnreTxGDxKl4 +z18ksKg4lCp0d4oY904Oqf5NgodjO2NtfKcI2eCxtqBx7N/hVP++tr9E3GaG +Bt80CXyj4gwl8ieJOW2G5i1hMjS+iKpacGaSOB/UknVAhAzKC0N1NKMmibGq +w8+1RMnwodZDfYf9JOG6vSDpgRgZtnBNla9ITBK3EykXWiXJWEfTYtohE0TY +M9tji6Vx30o40LlrwzjRFdxUuF8R96WCW6mNWuNEz6OsdAslMmyo+7FBU3Gc +CDZ5Zq+oTIaU8X13hKbHiP/ElwX+p0IGBXffpPLyMeISQ6PbXJUMHCP3NcLs +MUJ3oCB0hzoZ4ke2597+/Zs4Onc+b+EaMqjkB7SR144SpZWKF5NwH1xXnZTn +wR4lVAIq/yXvJoPb6+sHq6Z+EuEZCutSXclwVeCLrGvlT2Iui5mQ6UaGBZ67 +d5Wp/SQEzwoKlO8lg9xim75NMj+ICRcfS3IgGcSKNMdPfRsiorQDH8YeJcPP +kj/ygue+EjkU4UV+hWQgEzER+wK/EsdeRZ1qvEYGzQ6pd/9ZfiV2N/iuUi4m +Q9C86vnC2S+E4xr1Td0lZBjb7ixr4f2FMJRxf+JTToapmQZqouEAoZBQk/Gg +mgz8NpnilN7PhP7fnG8Or8mwbODApJ7TB0Kt6wk/CFOA8fr5UUHZD0QeZZu2 +vSgFRGCRaPvL98Tzgxa3fohRoC/nnXzAuvfEl4/7kpWkKJBtZ2qYr9ZJOD5a +P5opTQGpBnIU+e8b4q2+vQAoUuBXXhn/4Ll24pL0hii6MQUCibfMVTn1RN2Y +W95EGAVO/X42nkKrJwL3r6v6EEGB/EU1rd8TgMj+s3d1fSQFblJMJS2/1xGV +0UpHzkZTICa3rU/9UjWhu5O8zALnoMWPx9Jn+CuI61dMbvzJoEBvGUe0u8KP +eOIn+HnvPQrMP7y07OJLMOVe4Z9rn6ZA97mfskMe9abRnMjdVnMUqAvk8BlP +1Zva9cRcBC4FjioPvO1SaTBlNxXYOQtQYf7UipNKh56Ytjodz3IRRTtUdxer +NJsK1jdsSsG5jTs9vPFjTbvpgZnaf/mq6Avi3O/Uj6YmRda0epwLe8ZLUoZM +vppW6T1eMFxBhYEuytE1t0ZNx/4Y06eW0yBu1bMvBpHjpl2vNhYlV9DgmX7K +VHzLlKnG2pTpKY40fLoSZLL+yJzpD72b1PMj0pDutTLi4g8+Tp9zTuJmPIc8 +UilWTZIW5GgNvuk3s5eFNor2qJa3MGe8uaXOREMOonrqAsfSRTmWNWGm7wTp +QOtxFg4YEeeoFH72Y/2lw9r66e3zClIcf43r/33ul4dQ69yIRAsyJ51arPzy +PwY089/44GVD5ay8J9F6sIcJRa3xHee8aJwu097Vcj0siLg35LQwQ5oz3/z3 ++K5/bHjxs33zoloZTn+iAfuF9EIIZFYzV7+W5TQW3x0PXaAAAi7LQwrn5Thx +446eRqaK0H8mp1hRXp4Dz4MdXdSUwEo+zVJ+OYMz3VvTvqJcCfKrpEL9dzA5 +4bX1fgwzZdApePrHah2LQ69RkV58Xxn+B6PZcOU= + "]], LineBox[CompressedData[" +1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAlyAZrU5KGkCxgSnemrshwMOutnul +bxpAIggrZBXOIcA+FuN7gHQaQCr8p6h80CHAM+U7fDZ+GkBh2hxHS9UhwB6D +7XyikRpARxgV2ejeIcDzvlB+ergaQNyUb0ol8iHAnjYXgSoGG0CqT+4toxgi +wBmeQ4EFCxtAkXjSQgsbIsCUBXCB4A8bQC5q+l1zHSLAidTIgZYZG0DBrvmm +QyIiwHRyeoICLRtAgIrzguQrIsBJrt2D2lMbQB++2lwnPyLAxBUKhLVYG0A4 +V8PSj0EiwD59NoSQXRtAwRyDTvhDIsA0TI+ERmcbQEP+bVfJSCLAHupAhbJ6 +G0DzVTuua1IiwJlRbYWNfxtAklwnUtRUIsAUuZmFaIQbQNXktvs8VyLACYjy +hR6OG0BdJqdfDlwiwITvHob5khtAf0b7GXdeIsD+VkuG1JcbQO+12dnfYCLA +eb53hq+cG0DQODyfSGMiwPQlpIaKoRtA5JkcarFlIsCs8KOS + "]]}, + Annotation[#, + "Charting`Private`Tag$97421#1"]& ], {}}, {{}, {}, {}}}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.7142376665939217`*^9, 3.714237904669828*^9, 3.714238469686336*^9, + 3.714239486913962*^9, 3.7143096688288794`*^9, 3.714309882196475*^9, + 3.7143102980925283`*^9, 3.7143103387980967`*^9, 3.714310788182613*^9, { + 3.7148075632639427`*^9, 3.714807570439906*^9}, 3.714807654527153*^9, + 3.714808257639398*^9, 3.714808797213571*^9, 3.714809145326331*^9, + 3.714830887652412*^9, {3.7148331530408792`*^9, 3.714833162206613*^9}, + 3.714835185025297*^9, 3.7148363566927433`*^9, 3.7148365448388443`*^9, + 3.7148372620837307`*^9, 3.714837316260206*^9, {3.7148375560333223`*^9, + 3.714837566324032*^9}, 3.7148377355398607`*^9, 3.714837769146194*^9, + 3.714837997802803*^9, 3.714839546849403*^9, 3.714839598429822*^9, + 3.714839641354657*^9, 3.714840047372992*^9, 3.714840761409927*^9, { + 3.71499340791967*^9, 3.714993419710197*^9}, 3.715473470610221*^9, + 3.715473614608964*^9, 3.715712836746109*^9, 3.715719393182644*^9, + 3.715733609106077*^9, 3.715766554329413*^9, 3.7157668712098417`*^9, + 3.715887773071289*^9, + 3.71590075351693*^9},ExpressionUUID->"95fad0d9-e87e-4dbd-a919-\ +d85a7ee0e094"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"\[Theta]cf", "[", "xc", "]"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol5"}]}], "}"}], + "&"}], "/@", "func3"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.714907226585177*^9, 3.7149072267446632`*^9}, { + 3.714993456613233*^9, 3.7149934594500313`*^9}, {3.715473499619886*^9, + 3.7154735054840403`*^9}, {3.715473553081217*^9, 3.715473553145027*^9}, { + 3.715733613699733*^9, 3.7157336224595633`*^9}, {3.715900744099615*^9, + 3.715900744187644*^9}},ExpressionUUID->"2cf6115d-8cca-4ee2-9d15-\ +f4ceceb97b9b"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"N", "@", "\[ScriptCapitalM]0"}]}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, 3.7142540416013527`*^9}, {3.7158877954219017`*^9, + 3.715887795485818*^9}},ExpressionUUID->"c84fcbd6-3024-4388-a961-\ +e23b7e578b9c"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, + 3.714254694969582*^9}},ExpressionUUID->"ec94aba2-5c61-49fc-9331-\ +b56fb1d048da"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, {}, + {RGBColor[1, 0, 0], PointSize[0.003666666666666667], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwUWXc4198Xt7dSNiVRCVFGkXAuojJKKqNsKQ0aVAiVHZGSikhGXyKFJCt7 +VPYISfbefObb/N3fX577vD/33nPPa5xzHjsdb5g5MzEwMHxgZWD4/18+2eKi +4CAPqDC0/L4WSQIvF9tDcRRfGMwm36uLIoEHr5BL1JcA2G58kxT1nARc3i+c +eF1DIeIysf/8CxIUTqkoHJWJgMWJYgXplyQoldG9LbYYBS2BIzPTr0hwtjmi +Y/5kNBRSE13zYkmQEmhkIpUVAwkDYtk+b0jwTtZkJof7NRheeJR3NIEEezou +V7y9GgfS1hvePIkkOEJ27534GQ9zZeXMHe9IMGZjYhIlmwifxBdPvkkmQcG7 +yWe/qt/Bvr5ia8dUEvxaJn1bISdBrb6xgux/JHBMK3h3YXcKfLJuLJ9PI8E/ +o31np86lwiamq8L5H0hwU0K/Jy34PcSPGiv5ZJJg69Kyxotv/8Hm0HebdLNI +oOB6zO/zRBoYqD/9zP6ZBDIjuz8Soh+AS0xPoDGbBAZy0Q23jTIgbteY5vNc +EkxMRYyL+WZCokSyrEUeCfyfCLEuffoI+UnvesTzSUBMKirQB7LAWpzbdOAb +CWyLey4r8H+GN41cYamFJNAtedr3QyobNjf+CHUpJsECt3/c1pJsGGF0M973 +nQQtKT+m3c/lwOpe6d/zpSSwrnXpnJnLAZd2Pukv5STgC3Sx9Q3NhUeX7Q7d +rSTBk6KmkN1SX0BNUm3z4Wp8vlqK+WjxF1jjLc9aqcF4v5prKjmXB4bCUltL +60gwrltEzpzPgzVaoObDnySwfM7XkPv4Kxjq8ino1pPgUu6qZat0Phy1mx5m +biTBp7dhieyl+aASqeVQ00QCKdW6lHOW3+DVqML74BYSqCqUXyle+gZSZ4Y/ +H2sjwbBUIEU9ogC04gMfcXSQwOyelFGTTCGs2KiL/fxNglGvTLf7lYUgzbvb ++3EXCczPHbiIbIognHYz6cQfjCdL1f7t9CL4rasbxfkX58/h7u8t0cUwOltq +8LOXBAIytlYSiiVg3MJTE9pHguNzkWW6P0vg3JvT3McHSJAuIcHz4OJ3uPYn +V5R9iAQ+PFJ67RvfoX/u3ELNMAkMJ3Nc4E0pHBazfxo4SoKfOaMPqw6VAYcH +lao7ToK5s51P7drKQG5eS4ZxkgThDU0NnGrl0GF1QbJsigTzPPKt84Hl4GLt +PuQzQwJI5+0abCsHrvsZrhpzmA/NgQP9khWQJrC7kjaP+bgncX7SrQJSLrIP +5C3ieHOvsTF8r4CoR3fqbpFIIEIi9khxVwKHbbSnIoUE2/5anTG1qoTon4Gk +KSoJpkrfRISlVcLbG67qaXQSGLu2dLVQKuFs981jTsskOCbDqSp9tAq0ruRK +7lglAesLi9RHz6sg++K56p41EvT/bJSbGagC3Skf5ZcbJNh7we+n4/5qkKMZ +XTvNSIabhj7+o77V0Hxp1I2HmQzU5R4Lj4ZqkFy6plXHQobWk5+MNovXALGf +qesRGxlkYrns86/UgPvLX0c0Ochw/gXLqysFNWDvNX6NykmGoWs5S3vZa6GS ++/7lbG4yBFfvuUM+VwtydmmKV3nJcOmbt2RDai2IOEdWSG8mg31pFfUzqRbK +Z09L/uMjQ0qbyHKibh00p/MbvdxKBgH7Z/vin9WBzR6KzikBMkSp6UelDtTB +r9/CrBxCZNibaCxTuP8HpLMlvCgXJkOFZTnpj98PGJ94v+ApSgae6EIaW9MP +MIk4I6okToajY6cPou0/IW+kdtPkNjKYXUn5FHT9JzBUSLa+kyBD/rsfzl3F +P+H270f2lpJkkPTptT7I/QtIX7m+b5YiQ/mV5ZjE87+AufvvWK00GdYNtPmF +Mn7B+nPBPt/dZHCzqe58TfyCoB3dyaoyZDC98mFI5kQ9HH+td3B6Lxn6krgO +V72uh7/EvZgkOTIcyGPtvTpRD1HSMVUW+8jwMbugUUK9Aco6i8p4FclQukuX +rz+kAdi/cYRV7SfDknDF+8yuBrhr9FbKS4kMbdSzUYEyjfBqLe6xogoZ7mZu +b7tyrxFaRCXKhlXJoBlzxPVCXSM4tBhUvT5EhhLfZicr4SawVlV9aaJOBp/U +5W9Ol5sgWJNVnUmDDLdr+q55f2uCY1Xd6flHyPBi09tHCezNYBLSOHFViwx8 +IhdWGiyaoU6OiS4BZGClq//lSG+GXaoxnW2IDD1HLkifpjeD16b3gcG6ZPCe +W5oy29UCEpymTBpHySCU4ucdYNwCIxZ5p2b1yXBd2UmnyKMFnPkXrr87RgZh +oy+IFt8C3w7vPH/mBMaj9ZGXRk0LHMlyFmYzIoPHzOBMwGwLLBz8m1pgTAZ1 ++tibdsFWcHyUyHTtJBkOhaWGyGq3gohUy4HtpmR47KmYE3SpFaKjwvY3nybD +k7bXohORrXBKfmb94Rl8fx+twvRbKzgd2pqofA6/d7t9Zll/K1D+ivKNmJOB +ZjrWqcrRBq77JM1iLMnwzSNRP/tAGwxJ6DobnCeDVOE7upJVGzyPij9Bu4Dz +93RjofBRG2zXN95IsyHDf/+17j+e0QaJ467BlnZkIA/sy+9ta4NnnBL9HA5k +2OcgE3RvpQ1OSntxFjqSITqkK0FkVzvMv3jDeuUi5t/0GcZy43a4+j6pXeQS +GU5Yf8l2vdMOewPS3H9cxvme5cna+bYdpvR+jt67QobGuXu0v7XtMDgqJSdz +DetlkPtZ/Hw7nDvZgjqvY/2FD3g7iXRAgOGsbJAbGVhmefMP6HSAXlTMqMpN +MkxpfdRjudoBbN9H3IdukcGa3L6r73kH5JlTO6Lc8f7qhPOlxXhdP8oBd8gQ +8VZqLHWkA3jdmzbP3iXD5Yz7P57x/gbnJ/WTcZ4Yf9NKpqBDv6EZ6C+Pe5Mh ++xDfSz+738CWeEOYeh/jefhBgF/ob9iVanwtxZcMfu6yDYE5v+G1csZz0wdY +LyB761nPb+ARTolYe0iGGtVY91TmThhhN7PO8Mf7d7zo+L6vEyJTW9fNAzH+ +Ww7G/DvXCQJ3Ne8wB2P+n3uVz/ygE9rmP5Z9DiGDnFvn4QPpnbDXTavvwmMy +fN21SdKptRMa1Dha2cPJwO19/mr8cif0+cq8/vKEDHkZXaK90l1AOf9VxS4S +8+1A8n4pky7w76hP4YoiA1NV50e3u11Q+ydw4usz7GcXnj+vSOwCTf1lRodo +7K8yS4NiP7vg7l/9Be4YMtx/xR/vvdQF/xk9+pL/kgxvzgtUDoh3w6kDtUYO +r7GfWmw9Z6LfDX6bFAu547Ce8+XNy926YZ9528rXN2Ro6vOrPfy6G0iODfz2 +CWSovCmXVljRDWr3DzJyJZLB0tCEgOluaG7ZU/3lHRnSw9lKGwT+wOTDQmub +ZJyPqDtUO+0/8PkFWz1bKt4/W5hCXP4DJgwym7PfkyHLl1Qb++wPsKeqyFql +kYHdXNcBFf8BAWN9UaYP2O/qat1nR/6AU7ZHf0YGGa44JG2829QDMx499898 +xPwgLbFeUO+Bj7JP51aysJ6e9IaIO/aAg1GmWupnzFf3B8FD4T0QpnvMwjiH +DGKqa0zZX3tA9uJ9E3IuGa6+urce0N8DUkt2YvF5ZKAk8nnbcv6FdDHeUr18 +MgxET90Flb/gSo9Tn/6G8aTJUPfY/IUX0TvDnhdiv3w8TRcI+Qu3BgpyDxdj +/p6wfMiZ8xeayj1zB0rIEH/3WQTL37+wzOT1OKQUr58X7WRj7YWTTq1qiuUY +37M0rU37e+G/sNjvHRVk0Ci4NrzNqheObJ4Uu19FBuWVI/zKAb1w+E7XqZ01 +ZDj7/EmTSVYv/FPwsa6rxf6m5i90s6sXll7NIdcfZOAd1pl5zfgPnBkM1rb+ +IkNk/YLpD/l/8DQp9llBPRlmHPP018/9g+IUhnWbRjIU2OfWazz8B0Pbnusy +N5MhtphvxDfjH1RtcbZLb8H+m0J5WtfxD+55RJ01acP1KDykRXjjH4Tulpda +asf1QW72PzfZPlglGf14+ZsMXLdNBBrO9IF4AuexI13YD6KaRQ/49cHtBu+3 +/d1keLccVxCX3gd7tuU3BfSQQcSpa5G7vQ9OCLZ1yfRi/hd8rA1Y64OD+0cL +6/+RIVxRT51pbz/samG9c6OfDMzqVcdCzPrhsokhJ/8gGTqDzlG3+vYD2/SP +u/lDGB92af33af3A2/vqu9UIGZ7Nnz2o3dYPnrqN/1ZHydD8ReDHv9V+mNj/ +oCtxHPOT0WCjgn8A2lKrMnQnyaDksnRdRHYAxqOyLUanyJD6IVXhtvYA1LZf +6AuZwflaW9RpPjMALJp/teXmcL9RdiNj/5UBaA056tUwT4ZfV79cjvYbgDPO +WRFui9ivYs28l6MHQOi2vA8fiQxJrMNDFz8MgMuRjqO55P/zdTmprXQALLW/ +j5+hkiFBfn+BXscA3JtYuUihkWF2VWhPweQAxL98X/KSwH4Dx2f2bwxAb0zz +nNoKGbadtuLOFBiEbumnK92rZDj5eSBAVm4Qhl2JIa91XM8ID/NMGIT8Z9Lv +xRgoULvwMeDAuUH4L0FKt5iRAgPuO3gKrw6CbBR30QVmCpgGOC0cfTgIhyxJ +PKssFHDR5VPqiBmEs7/nNOLZKMBDLmm6lDkIa11bj2pyUEBmmeHXavkg/JH0 +2NvLSYGtPe7SLzsH4amDzMR9bgpoHs76qzwzCGWaOgHivBTw/HeU1MY4BOn6 +nUTRJgp8/th29a7wEGQzrBid56MA9fOc7naFIVgcqvIitlCAb4uST53uEOic +0Q94zU8BIRFl4TuWQzCbHu2iJkiBIqUwgT1uQ1C5r0q2U4gCXNOtHj0BQyAs +OlHrIUKBkrkk9eexQ6AdK4T4xSigzBttb/J5CBp+OsbkiFMgTk17lrtmCJIL +B2pPbafAL1/N/saeITB0Se2YlaDApi0yatELQ3ClrqI0XBLHo/+KcoFtGNoK +jYNkpSgwF7VHfO+2YSgQsNpbJ00Bn8du6TSlYah+u5x2cTcF8sc43v46Ngza +fPosTDIUkA54uvrOZhj+8BtrJe6lwJBFfLW3+zCM6Uuf0ZSjQOqjn1SLx8OQ +pdqn/0eeAlGQE62eOAxz9lGCdxUoYLkw+2bb12Ew1TKp3LqfApf4xfhY6ofh +P8W9xp8P4P3GLQtzA8OwGK76xUiZAlqOmdr/qMPAnhhEG1ehwFU1g+UmnhH4 +lqIoGniQAtq/j+yqlhrBPqsrIqlGgU+XZL6XqI+AusJvcrE6BW4eTK0pODkC +d8fonyw08P5PJtoFF0egkSg3IB2hQIFDmUyxN17boZJILQp8ZIzxr4gagV0s +YZvlAMdrd/VU/X8jsFidjWoQBSJv/o3sLhkBHve6U/a6OH8mgTqTbSOQ3zag +uaJHAfP9jC5rEyNQEbeZ46U+Bf65zTEJbozAsselnAPH8Pfwia0HBEfhxDpN +vf44BTR2P3l9Un4UuOs63zobUkBx9c6LmzqjYG0mOLxhhPGm6LK/tBiFZ0K1 +rHEmFPggHLVY6joKBb4rbKqnKHA2bPnMdMAo1IzUjTWa4vNid+wXjxuFrfFa +7y+bUcA/Nz7gZPYotIy76TKepcDTi5vNgmpHQXPDtTTuHAXC7AXflPXiNa+J +qKoF5rOPsd3a0ihoH5A402hJAbYcs0RtzjGo8CZdu3Qe60Ow9kLAjjFwXepz +2rhAgazRozH1B8egMmpJ47UNBXQCXI2FjcfAQg8tHrCjwFvXvkeXHMfg9vSf +4J/2+DzDQ4cKPcdg1qZ1xcGRAiwD/Fc3Px0D44vqpstOFBgVFpK48n4MThRL +Bj53poDq+l+z2uIx2C0Q/0ruMuZnJQunTNsYkPhLwipdsN4L9uuET4zBwbPP +bc5fpYD1mdWVpfUx8HY8wLd0jQLb9nFp2AqOg3F5WvJjVwrsW6evNMiPA/MI +p+DOGxRI/89FF3TH4Zeay+WCmxRw3UPwfrUcBy+xjthTtylglmxop3hjHKT7 +bT+OuePzHdcOZQaNQ2qjaKLvHXx+c06MfPw4bJISui1wjwIrdzl8PueOA5XH +eXemJ97Pkzx16Oc4LH8RLtTxpsBD+x1DFf3jwKMECt33KaB/faeTKXUcIp/P +PHLzxfw3OuE2xDMBd3sPfGN5QIF3GuosntIT8Ilte2PcQ7w/7unuLRoTcHa9 +ouqAPwV6FxbaskwnwPj9gTe1ARQ4Mb7Gc/LyBCS3eZ2xDqLAn2OWHYu+E6Bk +9mlmMZgCSUzJsrEvJuDFSN+lkFAKjMn78h7NnAA+tK1yWxgFsunhD5cqJsBv +8731nHCs/8qbAandE7C8tCF+LIICERxNQufnJ6DrQZ1YbyQFz9cGR/jZJqEa +9S3fjML+mOez2LxtErK/ni1hfY79q45fI0plElzOHLGLi8Z+/fWT4FnDSfgb +mDysGEOB9Y8LgeIOk1D1Ie5E1UuMJ7Nv6Ni9SdAVVn1m8ZoCEio0ya+Rk/BC +5EHRdCz2uy6mUyHvJ6FvNrzmwRucj2w9fpuSSWBrvJrLn4DPT7FxO9Q+CdcH +5R+lvaXAyWKyPf/UJAQZ9ysdeUeBU1JZ0ySGKVjYFVPdlEQBA3n5zd3CUwD3 +bA47puDfG/M3lClOwbT+8ShKKgU4JLikM/WngOWx88/Q/7Af2eQJxFlPwQ3F +mhHxdIzvbH7SE/cpmBe9N/TpAwUmfuf/8g+bwv1FeKVOJgUSwSrKJ2kK/kpu +Cer4iP33vh7Jq2AKXFpF5C5/osDrNTGyd/MUmJNycojP2A9tgqIfjE3BSfUZ +8Sc5FPhqubctZG0KpI93uUh8ocCjlg/Z0QLToF3h/zo7D/Px1+f9KfLTEK62 +nqGbT4EftwZO5etOQ/dBq3cd3yjgJzi0pdFqGso1UzwvFVIgWO7C3fGb03C9 +alqFXkQBx+NLvqyh03BKTbftcQkFahROysokTsPaytcz4qUU+P5d0Ms4fxpY +rpsXfCzDfrc273qnEZ/XpcygXUGBbvFAjuSRabAPPi/fXIn9/orXibaVafjw +tfewfTX2V+t7Smz8M9AY+0N+sQbzJ3J3hZbcDATZKDD611GgpVye8NSZAW4p +saKtP3E8PUo93yxn4M9GgnnKL+y3w/0Xl2/MQCDrj06VBgrc5u2LRSEzcEc9 +TaO6kQJBWR1eYW9nQDvG0P9sMwX+al5n7f46A8WbKrJGWiiw97yJlmzjDExG +in73aMN41ktK+Y3MgBPVMZulA/cT3k/zOldmYNf2jyEvflPg/j1dijL/LKS3 +Muvt6qLAPHVo5LncLHj/8Rz60k2B/jNigVSdWbBdFL2k10OB/bzP222sZqG7 +gdLY9pcCD36S2n/cnIXXQuJijv+wvs9OBqmFzsKbm68NF/soMJWwbepD4izk +u/vYPRygQEexGqPkt1nYlv3bcvMQBfZMj9THNs3CzMfcQ2+HKbAU2WQoPDYL +myZ3EvtGKZCwL9Hv9dos7O1Relc8hvG4zeiyXXAOtGcX5A0nKGB46B37f/vm +gC/ENb57kgL2N/bYKh+dg5PM+YuXprF/asL1ygtzoPu1W54yg/k5HKNs7j4H +F8eHDQPmKMDQ+jtnNmwOtvWOntyyQAFKdMZUaPIc9DTMqCUuYr8cKfsnUzQH +aVNsbAokCtxLrgj/1ToHjra6hUVkCjg1X6DcnJyD88ezTh+nUqApRkNcnHEe +ZMvPNf+m4fiOca3/EJmH9N8nlJ0ICjhb3XvrfWAehp++8l5Yxnq4rLi2//g8 +1M4ap/uuUoDxUK/YpN08lI3eK+Zax/6SrUB/f28eQi/tyXu1gfU70hxz6ek8 +HDe/9HwXIxX6OG6S5dLmIee5vnkOExUe+hYLkErnYctS64YWCxWcqu1opZ3z +wKgr+vQXKxWuB3MlRM7Nw67jsiwW7FTQrldlVmJegPmKzXbDHFQwuCsYt23z +Atg49yTe4KLCeTM/fi7xBUjtf1m7wk2FXQG1N4g9C+DeadYewkuFvaD/eUp5 +AT6Mi9fyb6ZCatPptn/aC7CUvvE2kY8K1Ei9P22GC7CQxm0rv5UKmou3qn+a +LwDDNRPmb/xU+Oip+qLScQH23myL1BWkQnnx0PHvbgtQqZDO0CREBeNLHUOF +3gugsrXX0kqECuZqDo4FwQvwM/D+qxFRKmRuDNQVPF8Aq5Hokhvi+Pv7TP7i +twtgGqr8Y3kbjldK1KAsYwFelV8sCpKgQvejR3Y1+Qtg/lstmk+SCu9HNe0b +KxfgB1uh2ZudVLD3Tzne1bQAlpEU+m5pHN9bXtHhngXYlrAclL2LCn9j2lsX +xhZgzvo3obGHCpu7TdwZSAsgsvD8bI0MFWInOta2bCxA2S308pQszqdNxa3d +3IuwnTJV+keOClyD15o1hBdhZ3Bik9M+KjCpKAibSS9CmOy1mlkFnJ/dtieu +7V+E173nU+7tx/fHW1wKPrIIIjH3XRiVqLAafdst5dgi2Ov0CIQrU+GtKIdj +5ZlFEPoZkC6gSgWzk7d0hu0WgcYdJP32IBVuu7Dzsl1fhNKhqSAZNRxPrnSN +nOciiO6obM5WpwIK3XH1dOAinA8XZtTQoIK69dlVr6hFuDBFE606QoWePHGf +1PhFuEe/IWasRQVJ+ebJlvRF8Lr6hOm3Nj7v+g/9jbxFEJyzarNBVCjRcIja +X7EIVNnRx2M6VOi9Tvrp0LgIK981ZG/oUWF+unsp5s8iZOtezqYdpcKN/Gvc +DaOLkHri3o6HBlQ42c8qwLK0CB9t7t3lOE6FqSeMvNrri+DD5PE16gQVBIgC +qhfXEvzJ8+oVMcJ4uQe3fhNagttTL6bfGVOhwa46gSa1BGlb24b2nqRCtGrj +hcP7l8AjRqsy+xTmg98Kt++RJWDvGH6sfpoKcv8+fKo8tgTKsq2Hy82oQGZR +Ocp1dgmCJ7a0HTuL8SpbbDhjvwR9trlmzecwXpPoROL1JShvKy02t8D4uN8v +nPFcAr8APd4+SyqsXVzdrhm0BNMfjI85n6dCTpfEvYhnSyDrOXZl5gIVfi9r +1QwkLEGL6PY77jb4/i1fOQ5lLEHul1WXZVscn3u/TkT+Eqw6PdN/ZI/5HyFy +a6xyCeJ1x7k4HDE/Bopf6jQvga89V2GkExV2M+7+8vbvElj9YDMVdMb6jvtc +uza+BJv9JprfXKLCtmvfWm3JOL4HxepSLlTw0H/dUcFAgqiq8LD0K1TI2Pqp +eQ8vCfo0nGsUr2H+Np+tihAlAVvLmcm861Q4+mTiM3U3CR5fcqJquGF/uVET +46BMgj9/E2fKb1AhMO/YnSZtEmixCzYY3KKCbUb9SS0jEtgWNr1ouE2Ftrws +qU8WJEgo6TYw86DCuInhouRFEjD+1h7qukMFEZb1opibJMgt57lsc48KTz13 +P+TxJYGI2snfQ55UaHTarhP0mARnJzcpuHhTwTFad30jhgRU//Nus/fxenzx +m08yCcrSNWNv+1Lhk3mo28onEhgS5Vk0Pyo8nnWU8ikmgTcvKdPnIc5PfV/7 +eh0Jiu71RTP6U8Fkt1VAQAcJdKojnYMDqHDcYL8S1yAJnLw27+QOokJpROm/ +57MkuCV8vfZpMBWe3Lj4ePsyCW6KZJ8TCMX5veunmsFGBs+FsabXj6kgha72 +q/OT4S/vNuXt4RjPR0FhP3eQwa/7/IOkJ1RwYVQ8ZL2PDGm5n/J3R1KhKbFi +aEGdDAfpUt0fnmJ8Td9GheiTYWijcljhGRXGRKWQpBkZMkTj/uQ8x/GLZy4W +2ZKBKepL4cEXVPAJffXe4hoZ3qeJBRbGUOFaur419R4ZUGKPutYrzN8//EKv +Aslw7/N6V/lrKihF2rcffkaG19zPHY7G4fedCnvRl0CGtoHE33VvqJBcNG8V +lEGGSHMVVaMEzG//eWnFb2SwjbTwbXqL9XhzYqm7igyPUoVzTr/D/HA8XBfU +QgbOz37NHUlU2GSkk6T6jwwXS191W6RgvqnaPRqdJMO3f64NPalUiNNcuvya +SobZLTyZNv9RIe+l1TkTZtw3nff1GEijwq0n5BMsfHiOymnY6/SBCv5+Ugbf +t1HAiJv1x2gGFQb6dQ09ZXHdNVcyc/lIBbcjX80PHsK/v29dN5VFhf3Kf66R +8ZzKYfdMxvUzFZw9N4V9xXPj+b6e2/PZVJDuycvxtKbAaqveh1u52C/U9w1r +XaHATt6uX6QvVPgR1iHBepcCojaJXXe+Yv318jo34bmD8jitmZZPhYVT6vmx +T/EcZL6c61WA3y+Rt/VyPAX6/JIfrRRifF4Meh/CfXFbccYR32KMv/DOeXbc +p8qWbR9cL6HCWcn2G39x3yh2iO32w1Ls12C5lo37uJk6tznGciowiG55HdqL ++wBhR/OAClw/XWyRI+5resumPrBUUeEzYxJVC/cZF8/zTwZVUyHi5+FicWYq +4BmTn72WCg9KH0eu4Dr8Kc1NLrSOCp7kxZv/cB1UvpG/j/Mnxju63bEC16UX +p3+Ihf2iwkTv04tph3Be6z+RuRqwnvaE3n2KfdrT3KMovJEKHH+3x3qZUmHG +Sfo6TzPuF3xyG5yxb3U61HJGtFCBLSVty9mrVAgpuBzN24br/7qty1Gs4/j6 +LZyR7ZjPZhqthwKpsINourrpNxVUvN4Yy2NeD8V+KIjspEKl80jPTswrRaaP +S5u6sb9K3PMRy6RC7cMBkad/qHCh7KuSIM7zEbvT8pv/UsHrAdPKlhqc5yEO +uae9OJ70sm4+fK+B4RbBzX1U8Is9Vb+lnwqCrR4zkfhvXr1Au8AMFdI/amVv +GqTC5YZbC6IE1h3vXfvIISp0aP+U3slGg02Se9d4R3A96vN1leOngTiXbXDE +KH6Xz1LjQUkaELM7V3nGqZDIEKavp0ADqwlf2ycTOE8uaR1mGjQw3eKTxT1F +hQM/s+5fPEaDT/f3TIZN437mJMMRz7M0WDwYsoVrFuNzmIk/0oEGqifS9zye +w/wZFmL5z40GBYXRezkWcJwlSZvK79MgKuSMcMgiFVpOsKn0htLAMmtxiZVE +hWWZ9FvLMTSol/QsDiRTwZV7+pdYCg082hduMlMxf0qVQSubBk9ynPn9adif +JIebHL7ToDl5IJkBv3urnL136C8ajD2+tuPBMhW8p3l1c7pocFKf7/HaChWi +Qk339I7QwOJTd//9Ndz/aT+R4VyiwbPYJunldewnDrsN1DdocLZr5awnAw0u +nH/of4WHDgPKV92pjDRwzGT8Fy9Kh7Hb0g88mGnweobXvG0PHdyslDyXWGjw +tZFzjlOVDrSUBNubOO9yAuff6+nQwYL7tvIcOw3mE5x8HpykQ6heAekaJw0k +7cPdv1+gw6NVr+RJLoyT86HwNRc6CA6Wa1/mocHRlp9VcJcOGa9e/hjhpQFb +b8b2wAB8XyULctxMg75u7dhfUXSIWxd4389Hgx7F6UP8b+kgOtpCs95KA6qN +IM0mkw77uHTVezDuXGtSPRkFdBhfu3XJQpAGhwq9BogaOtw3uurfIUSDacsH +XEbtdGjxUn1yWoQGnIWxlm8H6PCOuyegSRTntUGxnjRLhwK/i1eMxGkQmZjq +aLRChyrjf5o/ttHA/KzDjvccBNRPmawflcB53FPPyChEwL+fZVkVO/D9l45z +2UkTYGiuaaS9kwZzPnC47AAB07SGziIpGmTMCD3dqU3Ah633TdV20UDd+CBP +sBEBzaymBV9200DMmDFnxpIA8X3nNh2QoQH5y6DvuUsEJPZGm33cSwMJRy33 +cncC7K8IBu2Vw+8zuf9M4REBqZLD71PlaVAXwPQnPpKAdSO2r5KY54r7NAw3 +xROgphSaG69Igxn/x6OPPhDgvOX2W5EDNDDss8ik5RPgKdvo+UKJBpWZPPE3 +qgl4mJusw6dCA+4bmwsmWwn4O7BCD1elQX5N3YZzPwEdI4Nv2Q/RgMk5wX1k +hoDuKRuVADUavBSh8zsvE/BTzCt/XZ0GqVUwOM6+DFdea+71xjrLdOr9e11w +GVQCckIpR2jQwXuIhSy1DLtpA103tWigPZN33vfAMlzk7hCc0abBc72Kfg7t +ZWBrj9a9jDD/blZFvzRahkAbWdshHRrEj0vf22O1DE1fE1xs9LDuVIzCCi4t +w+oQ4dB9FPOZSGo09liGjHEDwzMGNBCiRukMP1qGnVURO5uwzrnXHo7df7oM +kze6xo+foAHDak+JUMIytI3sS6gypIEOnb3mS8YyNAu80tE2xvHw3towK1iG +4DmJ3wUmNCi+9eA6uWYZQq0bLVRO0cDAPZ7ndfsy9Oln/swypcGje0oDWoPL +gCIq5Paa4e+raeOjc8twa4vo/eQzNIh7fUU6anUZjLOKirado8HQSn+0JtcK +9Kt9nnxpToOiGY/D08IrIB24wb7FkgZ7jJ4LxO9egc0OeYLhVjTg50vefUpl +BdZjO7eyXvg/nza5suiswCGq24afNQ0CZHSmi0+uwK7DwX/pNtgXR1Lf3bFe +ARap3Wm37bCe/qVEKF1dgYnrZx1n7GmwHpSeO39vBV62buO95EiDSy7b+bKD +VqCUOSSt34kGq7Ku/92OXoGZL2+UrJxpYBPMdFctaQWORjpltl3C+Tt7/MH6 +pxU4dmRcwNgF4/PoQ2VdyQpQ7Pa71VzBfBV8hqJ/4XgSjn7TvkaDBYWrhH33 +ChBP9y98u04DDdZ3swfGVqCjlS6ihH1VaDZhOzN5BdLp6UoZN2iwYdL8uItx +FU6+PK4hfYsG0ZmJyp82r0KZ+oBy/G0aDCd7i4RsX4W+q57igh40uDpRf8RR +fhXMv4iSI+7QQOTERjwcXoVTMQ0lbPew/j8+1NxxbBWWn8beeeCJ/WRLiRjj +uVW4uOOxBN0L8/n5dvVRx1UILU75dhP7urX9lpj6m6vwpXsRTfpgPOuYlfP8 +VmF+/H6Rg9//8+OwOfHJKtiYG+7qeUCDbWwvFZ7ErWL8nf3MHuH4lzZF3E9f +hcGl3z9++dMgOFFd0TV/Fa5PpjDrBWI/7HiwxaF6FRKauxSLg2jA7HFazaJt +FaIYvA1VQrA+vMXenRpYBd6O5+aZuK4ELh8zNpxbhcUEuTPSYTT4IX1M89jq +KqR9OoHehNPgjVbQTQOuNXA8Q9/OH0GDiPQbk8dE1uDsb+2ZsEhcx/rd04z2 +rEGU9+5MpiisR4+NjNOqa+AQlHfe+xmui0IPyVa6a/BZlby8+BzjEeYUeNF0 +DdqqZsKvvMB6zBa+cMt2DYqu/sc7iOuaVCCX18PrazBnI/vQ8hXmo3BG3zPv +Nbja5Dvc/JoGLK8uPnkfugb/TWaqHYujQbJhun/xyzXo+VPsU/qGBk+fDVe0 +p65BQc3X3IMJNAgfCTScy10Dy5akPx/f4jrXvbyNu2IN/EVDF6XfYX2L5x2W +a14D6veby3FJmD/uO5KM/q3B104n8hZcV2PKM8/cmF4DKa8r/aGpNHi4UXc6 +hliD+m+Pizfe0+CM3vCb7+zr8F9SQ+jdNBqMFl1XnhBcBxZdjWOz6Vjvn9sF +BXetg29SD9UpA+vFP8TgqPI6dFR/fdWTSQPPbFr1HbQOsVntsqezaKDUHP3s +w8l1WLHSzKr7hPkeVf+x33oddtbQdmrjuv64ZJOwyLV1yBvjDc3LocGUemOL +mdc6tOYG98t9oYEC672epyHrMCF2dW9SHq6vh31Um2PWoYSn3FE4H9cjNpN+ +vtR1qLkdFRnxDdeTYqu/Z3PX4aDqcCZzIeZj+VbZN+XrEHSwvMiriAZ7X0z8 +GG5aBwOL/cXzxdgfO4yKFf+tA+s99Sxn3FcwqWcx+Eyv47loOOpvKe5TInxj +64l1qBVWv3S6HP++XCF4O8cGfNTTVqirwPzrUqy7JbQBVtVro5pVmD8Li9Y/ +dm0AXPaLyq3GfNWfOLZTZQOGqHX79tbSIE8uINRHZwNcNYaKEupwvdmiuqPn +1AYcp3Zo8P/Eenx0nUfDFn+fTvv4/74mWeKtafz1DQjtcuRbr6dB+QeNGYb7 +G5B6h/eSeyPW08qX/suPN8Dc93PWRBMNKlh95FtfbQBfium4TQvO7x+WFs3/ +NmDPa/rW9lYc37vyxoy8DTDg/nzgeDsNjsfv3C1ehe9Lu4++d9BAUzGuM6J1 +A0oELukqd9LgYEv8ENPABmTT7xxKw31VnmD8Ce+5DdhCyd227Q/2w09cPOTV +DaCk76JE9eB85CoIFrAyoNPZbWWsvdi/Ix+a0XgYkGBqtY/3P6yn62qlagIM +6KQY0775PhrU/Am39BJnQHHvnzc6DeD6cuvbzhIpBnSo09ehexD751+SKIMc +AxpRrx83HqaBd6O3jr4SAzK38LevwH3dCE/w63B1BvS7IKP+4BgNqq+c2tEO +DEh50Eg2Yxznp4qvU/wYAzI47eolMYn5y8ry3fkkAzILESp5PkUDAXmnjuxz +DMh4/eQi2wz2Ow2XbWvWDOimooTo/Vka2BuaxBheZEClT8JV5udoUOJjDLHX +GFBG+FvktEADXqZ3YpO3cfxxtqhrEfdLIv4yGt4MqHx3u7IRiQbGvAqXnjxi +QFtfMYuUkWnwXv1vZ38oA+o6S5tXpuL8MdV5qUYxIImqr0X/0bCf9sudCnvF +gJ7qGniKEbhfPKNjMfiWAZkqZe+NXKZB2ezR54f/Y0D5U8v1jKs08De5yRCd +xYA+1io43lmjwdYd60mzeQyIQdx0emId+/022XsnShiQvMaVy9YMdPjOs+/h +f1UMSNzjYWczIx121Op8Z6lnQBcFE9T1mOnw3773ihfbGFChS21EPgsdGg88 +66j+g+P7ytwpy0aHwDb0ec8gAxIC6y0J7HTQ3TFf+niCAaUf7wI+TjpIKHUx +z80zoHd8Pg4BXHT4oaTqd4bGgJbaTt+lctOBZKmjWLTOgIJ/2vld4aXD76nD +AlJsjOiXXJZX7yY6MGlYHQjnZUTP5XRcTvHRYTmtx58iwIjIhJRh5Ra8TiG4 +HbYxouQ6qx0H+elgmrFY3yjNiLaVzYynCdDBz2C98og8I0KcwyliQnRo3XJh +MUOZET1r0DsTIYz76lw9C3ENRnRxnxB1Q4QOE30k8hMdRnTjhMOT22J0EDmf +9mvjOCNS0N0nNCpOhzOU2G53U0ZUq+QXbbGdDrxR7DsmLRiRhJItyy8JOsiK +7HtrZ8eIhMzbXTQl6dD7WM+86xIjOp83Uv5pJ+6r5x4fM3VjREHWsTw7pXHf +bnfk9q87jOiDNd0oeheeK5hedOr7MiLbco4HrHiuQLwtHpWBjMghqvX9PRnc +p1fIm6AnjGiozap8ci8dpm4O25VFMyKb8PSmC3L4/fdVsuANI+orqm5plKfD +zpOWByuSGdE3u6+1oECHMOdIul4GI3p451F2jiIdXIy30upyGFEAZX+k9AE6 +kOMklUwKGZFxZ51djBId7OmU/9rLGVEMt+ludhU6lIs1W174wYiYQpr7PPGc +k10zYTDSjN+nZvJk6iDO368Ht9y6GNEPjhYFazU6XOFu7Sb6GFHviG1Vozp+ +311R3+AxRrSay2ACGnTYzvXSVmAOx2dR8iv7CB2MWwN8UyiMqDvvtaaUFh2s +x3f0qKwxIp2M+ORobfxejzSPGhYmVCPQvMqC6PAhx8LEkocJzTcdMrqL56yK +YdeLM/xMqDK7J2Jclw4v7GSKHokzofKnFdWWR+nAElpxUkSaCbVoL83/1KeD +TbOXVLYcE7oV6b75yDE6CORHHDyhzIQGjI2lPx6ng/gvjdDhw0zIXz9Afrsh +HZI/lIo90GFCh3R27I00wnxntJgVP8GEuNhlRDeMcT7DdRiKTJlQ3/mk9Rt4 +zuPbUnLGypIJha2/6B44RYfRqywThB0TWs/mSDt9mg5nH1p+f3OZCT3bz3y1 +0gzPbQbUdu0bTMhSNXynyll8foX4vuG7TMjwXlpjyjk6DLGw14b6MSHtT7Zu +AhaY38rUpP3BTIj3yTfmIEs6RHrLlHdFMKF3FQURFCs6ULf9kXwUw4S2rrnw +XMJzpqrLiWr5BCZUOtX0oNOaDt0F+RldqUxoSGVx3MAWz5X37ToCPzKhxged +R7/ZYX3I+euo5DEhF/eglzIOGP9TNktDxUyIIYfl3ytHOrQF7B+PrsL3dZ8X +4biIv7upSRrUMyEUGnnc05kOT2q/JBBtTGjvhf9cJy7h/JgO233qYUKmU+kh +lnjO3TbIcvniEBO62hD/8scVOmhbW3wRn8L5iQmNU79GB58vovodizi/f25H +p1+nQ8RE2LZIggkJ7nZ8JOKG88czdfgEIzMaYLe5GHqDDp1adxNYOZmRI89V +TfpNHH+m27EqPmbkUvyU0+U2HT5Hb1X3F2FGgW866rvc6eCtm3RDV5IZrR6A +gGN36ODJf36OeS8zyl77vf8bnrubbvnk1e5nRtqPElv3eGJ9dR+rDFNjRvsO +J7u89KJDevOKsCkwo9p3I2TW+3SQW+j6KnSMGUUdcL17x4cOB4bE4/tOMqMH +drqzI750uGjNXp9mzoxGkq5anX1AB4NdPbq3bZnR0JWZoqqHdLi0uYNZ+xIz +UpRp2qLiTwce5oObuN2YUekxIdtkPPcnL2k6/rnDjNYP1SduCaLD60F5hg++ +zIjDltT5MJgODUM6E15BzEhiVwzzQggd5IXLxIwjmNHybP5uu8d0sMsefrUj +Br93u51WUxgdcubn7cjxeC3wwlDrCfb7Xbvcf6UyIz4la5OPEXQQ+1TemvSR +GR1t+q4v/hT70Qqrj3ceMzppUKYSFkWHjjDV22dLmNGhxUvCxDPs75NP8vZX +4/zvKl64HI3j+3pKj6eBGfGrVJZ1vsD8fPNdYqqdGVW5+Qfqv8T8Mxc+9vMv +MwrYwwR5r+hg9iWh5MMwM5r879i8VCwdVCKePQifZkbyR6xinsXRIaZJJcqN +xIxG5bWUGOLp4HirZs5shRm5lRGVbgnYXx6EvFFnZkEaGjGG/97i+iNQ/HIH +NwvK7BP8YfQO68E8aYCdnwUxzT46UpREB41H970WxViQXEp/6t4U/J6/YQ69 +UizoqNZBllepdPhYyhf7Q44FqVJCrVj/w3g9OymZr8yCPjINprqnYf7UB9FS +NVjQ+Td6Y4PpuJ6RaRIxuiyIgZS/3TSDDtdTx14GG7Kg/Ud0jEoz6bDxMNrO +y4wF6aVMuO3LokOQDvJyPc+CRiy/hMZ9wv6WqTji6MiCjEPSXnNkY/99+e6d +1VUWVG1R//ZuDh0ej3d9On2bBb1c3PVmJBfzKUZos5E3C5L3Loowy6PD/vdv +K/T9WVC4wPO75V/pIKWQW6sTxoI6B3POKX6jQ4lZtAQ8Z0EujJLy8QV04DIK +/KkVx4LEooaonEV08Leuq9NKZkESHzYK7hXT4W3vW1HIYEGNzr63RkvosOmA +SZlOLgta7XWQPFNKB7UGgUL9IhZUKv2lprwM+6uaOrtRJc6nyT0HxQo6HGdb +/nD6FwsKvJpHelNJh9K++CSrNhbUF3bTh7Ma+/1dpznHHha0rThn5W4NHcyj +o6Jch1hQOZvfrZFaOtRyXQ71mmJBg3f//jv9A/t7pWxn8BIL8t/agsp+4nzl +iHvHLLMg5X6HuH31dODue+DxnokVyQ68nIptoMNlm9iafC5W9EXojhJ7Ex3+ +mGe6/tzKirT9mW54NNPhNCNx/Z8YK7KQ1E8ZbKFDXkpN1ZIUK3o4o9t0so0O +mjFnb3PKs6KTA4wLxe0Yb61Jz50qrMidFMIh+xvXc4G6Lo0jrChb/K/wy046 +FCUrPT2nx4o2mTBKMHfTof7B9cRbRqxoqxeD+M0/2B/PFXM8PcOK1KP6Nv3r +wb/vdajPusCK/B4mESd66WDZlzLe6MSKxg6e+pv/jw7vDtbYzF9jRWxvZr9I +92O91HMqbvVgRR6v/QOiBugw8uar5SEfVoQEBAzXBjE+uTx9FwJZ0XtSGvvV +YTo8kz1T6v+EFRmKHi3pHKGDoGIjkfGCFe26NHdZbwzHv1oa1RHPikQKP3Jl +j2M9DV8P2EhlRWXzganbJulQrS3eJp+Fzx/1Ofh4CuvJb5Ov1VdWJOAe950y +jfklGR4Y+p0V6d4a1nScxfz+8nuioIYVqX21+dI0RwePHuWMqUb8nX/zziML +WD9Hx39s72RFXjZrQWmL+P5cNX2zPpzfi4pD/CQ6EDSXHaFjrGgfNe3gQzLW +K7XMomyOFXX233g4Q8F4pDyao1FZ0YmZ8EpLGuYzA2lYaYMV+Y8wrlbT6bC6 +y0rdlZ0NNT/t2qe0TIeCg8T0h81sqOfL1nMJK3R4eUVkY1yYDckIFHpwruH+ +i331lowkG+q+3RJ+Z50O+1wmj7rsZUN5T23jBjdw/0nZ7ZlxgA35y155Z8JI +AI8MjXtOnQ0lr1ISCpkISHuczKCiw4ZKqriid7MQMFrgau51gg0dUM968IyV +gCH7t7wVp9nQpi3DTmtsBAxoe+/hOs+Ghplz4QoHAepSx5LOOrIh4+od/L85 +CWiYMvR7d5UNFbMo9yFuvA6p/z57mw3tuTP37iMPAYYrm+w177OhuarzF0Q2 +ERBnecH5SQAbUn3rwxu4mQDLSmrjv3A2RP5k9W2ej4B3rjJxB16wIc1EmuWF +rQSwJan8CoxnQwLC1ku1/ARczXWw7UllQ4dLngQoCxJA4qSbK2WxoffKT3ne +ChGgu1Mr7/FXNsS9/UoEpwgBk/737g5/Z0Mi2yTZ7ogS0PJzNkG7lg0xNxfe +HRAjoC15TO5NExuqazvSb7SNgPKG9O1EJxu6V5UJ37bj3wvev2vZz4ZmNDa/ +ltpBwKBt6sHCcTak0XptIkKSgJq4axfEF9jQ2e11B4idBOTVC0/40dmQXN6e +WxelCUhgXfg7zMCOcvdGfWjeRUC32xE1Q0529B8PZ4/GHgKYQGc5Zws7Yll4 +yfSfDAESpcd3i4uxIzkHkN4iS4CIQWxBkBQ7cpth1/SRI4Cq6523KMeONm2n +Go/LE3BaSUXUToUdGftsNjdTwPG/5R5vPMKOmp5ZWXxXJOCSvJGE9lF2dHX4 +j+neAwRwPT5c9tmYHXVRYnSjlTC+XhK/pM6xo69G0fvWlQmoa9OBVzbsSPRS +16YrqgR89pqW4L3EjqqrL0+2HyTA0dnpSqAbO3IcPVGirUZAcOKixNpddqR+ +NCDkgzoBcnp9cO8BO9pjLWokoEGAn8+thqUQvP5vC/uDI/h9j0nVN6LYUX7s +reJJTQLECj/Kzr1mR8EftV3OahPQ5Dq67JqEf3/Gj7cM8HexMfX5D+yItHEw +U1aHgOd6tOFbuezoyK5rOi90CUh96LBKKcL790u3rOsR4Onl6n+/ih2lP3Wy +uKJPwNcJp7tMDexoOVupq92AgOS4iO6wDnbksv78lPZxAtKvq3wQ+MeOhAef +lKefIMD45NuJxFF2FF2+S47fiACajvCrfXPsiMJk/8TXmADbC+N5RVR2xMR7 +dHzcBMdXZqFruMGOgnQ6NcxOEaD3Pgf+snOgZsZtISWmBPyy0M5y5eNAQp/E +GvaY4fuVjoUzinKgyNQuzmdnMJ8SBXte7uRALLqWaOUsAdZSpFgFOQ6UOph0 +w9mcgAxD2foaZQ509V/hq2YLAhaKGd3sjnAgy4j3BYetCDi5r9Z/WY8DHTp+ +tS3lPAHLTuWcr4w5kL4T7yivNQH/aWowHzzHgXSVXyzcsyHgaJLvjQ4bDqTM +zkIZtCVgJarj5J1LHMhf2XHJyB6fv+1xkvANDtTHnDfx1YGAF5dGLxff40Dv +fqx37XAiIDRFJdn+IQfqbjhW/vgiAQ/FS03ZH3OgkAsvkkjOBHjsaXb//IwD +ffo+ed/mMubrgRxuqzgOlK1hcqrOBeuj8JMISwoHMhetFle6SsA+061vsjM5 +0GrCmcG4awT0v9wTbZvHgZa5Gd+xuBJQoHeIcdN3DjSf2mrh5obxlngyWlrD +gWI//OLovoHjYXBHt5o4UKjlYq7OLZz/zoNbd3fhfM8bmmfeJkAlcceFnn4O +5PKhd0nAg4CSa/fFn01woIWKzFC/OwR42784c2KRA3nc+i48cZcAybyvzMzL +HIhvQejdaU/8vs9y+0qZOFGA+/edxV4EhGRpN3pzc6KhA/nxu+4TcH2b1ri6 +ACeaOM+2JdKHgDHfW970bZyIddcXP5ov9suLMiGFuzmRQ0nFqP0D7Dd3Mnh9 +FDnRuJmawa+HBJheN9iE1DjRRUHRdyr+BDhvPfaYFXEiwQPXSfEB2B/16X4N +xznR9caDiC2IgCu09/MvTnOiX0L3g28EE4D2xf+1Pc+JglV1artDCDhO7NGT +c+JEVcYRGzqPCYgPfb6Hdo0T5QdeVM4MI+C2kHxwjQcnOs3QYCvwhIDpBU3H +GF9OVD34I9A3ggATb4HiS8GcaPKEfepYJAGNMutRh59yohjLV99PReH1Q4MR +3tf4/fLuLQXPsL/v0Pg6/I4TJQ/Qe3dGYzxzdrMUf+BEAs8VhsNeYP+hnWuN +zuVEseeFhkkxOH/VwtvdijnRN7OCXutXBGRtfBs/UY33PxNpqXmN+ZIcoCTT +iNcKmt8V4wg4VFS3zNrJiRSP7E199YaAl86temN9nOhK42AgQwIBVt2zPD/G +OZEP1dXuyltcLyyvmmcucKL22laVtkT8Xq0XklEEJ0o02cp0JImAI5SCa3eZ +uFD6a9VfKckEKG3sVrfl5kLJeVpPeFIJSJrdG3xMgAulfVQ+fuc9AdsvbzZX +3s6FgsNE1v/9h/HaLZMusYcLMVuQswzSsV5I33149nOhg6L1Fp8/EBCZu7Nj +RY0LdXUmrQhnEtB59t2nGYT3v/CNffgR828whKf/BBd6c85JaTKLgK3ue+ba +zLgQ1zbLqtOfMV8P/Trz4wIXujhhf6ooG9fTaxVaZRfx9yL/31K5BJxzOf/x +mysXmoisPBf+hQDB6OHEnLtcaMBpdwspD/vt5UyRrAdcaKtq9lHrfAIiPBiE +M0K50Dpx+Uv1NwJKLyi9SX/GhQ58Or1NoRD7XfuT9+lxXEjv+O0HMUUETKU6 +HMpI4UKRpU29a8UELH1cN8n6iM9ju6566Tvme2/uTM5XLmS49VRwUymOX71x +a0EpF2Lo9Gk7VI7rQ1d8eVkdF9qjuyySWIHxGb1J/dHChXINGqzYq7C/J73O +a//DhTZaaS/+/39JT3unlf4hLvS79dGvrhoCdEIk62enuZCg8o1lqCMg/9mO +XWtknL9/1bvSfxAgtCmbbdM6FxIrDTnB94uAGwk73SXZuVFpcYmLZz0BnLSq +K6p83Cjmu4v/QAMBrqNjUydEudGvD1EvjzcR0K7fQ7WX4kYtFw+/z27G9YRz +LsJLnhstt17+JNJKwL9Dt7OjVbmRabtk7sM27JcT+baftbgR9cSV7Il2/H5D +ntgGA270VtDgg+lvnP/ESrvpU9zIVqAkvqCTgMNacl+4rbhRk3RLmGQ3AZsi +o6MVHLnR3I4Q99A/eL35FOPpa9zIcnjUfKEH59csa/WOBzfKPLaoatmL/Xhj +PSjelxtd3/2Jt/wf7j+aXyRUB3Oj1DM7B2X68XuflenNPeVGiumnPj8dIGDH +3hZP0VhuxE7X8qQNEjDyWFjLIBmfJ7R4xG74//3VWJRHJjfS7HRdrh3B/dVi +pEdqHjc6wlH4RXEM1ydDh4nf37mRn0/X5ZfjBFwU/DzDUceNChibhNYnCOj4 +9PORVguOxzmp3HmKgL2hTOnuf7jRZQ9z58ZpXF92Z9plDnGj18Qiy8FZfN9O +wQ8j09xIoMwzMX4Ov1fueeAOCjfqjZhXZVnA/QSjx9KFdW5UrXCh5toiAW/9 +eEix7Dxok3O5afsSASwRWcF/+HjQYUK6S4NMwDaFD1liYjzoxacwy2QK7h/c +T7vYSPMg+eNEByeNAJ9Qen7SPh7UFOJhfItOQHjmQuz4QR50TZGxrJvA+Co8 +2bIfeFD8Sso+tIL96u72/3VY5eFUbl0ciQxnes85ZYrSTSiJpNugtVJpDqWI +UhlKRQOKklmhEBlKaBQSqSiRVEgKKUky3IpoIENC9qt8+/nOf/t599lr7d+0 +trr3CkX0z94Rnz4yDKulhh6VWCpijyQMc/8OQ8X2vUNcO3peHtocHqV5Nre6 +bIsT7S9w750WCQIKuF87y00RiyeVyS6TItC4MlXzz2FFzFhjbpM1hkDU3Ee5 +5gGKuKlIkCocS0BKSth8NVwRjbX4nUdlCPTf+5k0fEYR28Fcr1WWwIDX7X6L +ZEVMePhmz0o5AgE+V9quX1PEjeuvXL0lT+AtR9lVOkcRVW49ejdBkYB7tEvk +9vuKOBQ6S9afQ4Dr/Xl58RNFLAkfNujgEigw/5g0sZL276hhs5ZPwOF+Trhf +nSJqlqUdyRMQOOacJvjUoogTreMSVIUETk1WMlr2he5/1nUzSERApcqmL7NX +Ef88ziv5Jqb1bIpWMkQRAzp7X1tMIPCzJsHEZwwHw3quNecrEZC3XFjdrshB +Kc+GVnUV2g9fcthyPAe71CM/H1clsGPjvCePNDi4ML7iU5cagU6/eVr6Ohx0 +PXq6cYM6gZcSm7QvGXJw28GOl4UaBG45tD1jFnLwpmpt8eTJBEpMjceGLuNg +jLJ1ZpgmAWbj1Y8j6zjYIH80pmcKAf8d/raeNhwsjgTPTVMJrDTT8Pixg4O+ +kLX+oRaBcUPvdF32ctC7qGzGP9oEXhz7G/jZk4NlFyOlTukQiBz44u3gx8G0 +YIW6Pl0CW+K/8VpDOdgtseSyzQwCMmk2yx1jONiX8++eR3oEtp84qdFxnoNe +0/pmaukTMMqsO7cnlYNxfw70RMwi0JYUkdubzcGK8qIb/QYE0ljZA975HLSf +8N7RdjYBbb/kl5JPOFgb+GLCEyMC6j0XayJecFDiXPyzacYEXPRdPJTrOHj/ ++yKPqLkE5hitLkxv4WCKXKXKwL8ELOUvps79wsGxwYuK7eYTCKkrMHzey0Gm +PWVryQICI8/7nLYQDqoU/fitbULxnZuyoG8MF6tiDaNPLyJQGMjkh3K46D14 +YMogEDg4OeOdxgQuSu7LvrNlMQG1a3kpBZO4mBfUZVJqSmD3nSi5jbr0e5Hh +U52lBJTGRqr+nM3FjEshK6KXERh0k6mLNuGi2r2OZ4NmBP7WWs42WM7FtwFb +l2xdQaDcoHzeGwsuyoT8KCxdSfG6UPjlsC0XL5gmzdRdTfHEEyZqTlxsM9l7 +IXoNgWHrgAWlbvRJNLhDfmgtAekFEq17vbho1RnsvtWcgIXVVoPxgVy8mfS2 +vtSCwK+pPTolJ7l4KcRuru56AstWcKr2x3FxQFMlLnoDre/CU9K4wEXmp/jH +oBWBr6vXcl+lczHAdYPp1k30PtXqOUG3ufifwrvYUmsCm1qaiPEDLvatuPZJ +ZzOBzODmvq4yLhomlUyPtqX6+M87LvUlF+2PzHYftKP9TJZr29rAxQWbR/K2 +bCXQk9DeotRKv+dM/lViT8D00s7jbzu5mN6Trq+znd7n7uf3sQNcrIyI3XV6 +B4Fox/tNG0a5+PL316QBBwK15vNPieV4eDw1q8rOiYDtnNKvDQwPS0Zbh584 +E1DsuPErRY2HT45ET9HeRWDPyrU5Tlo83BZQsDLKhYDENgllvVk8vBbg4Ppr +N+V7obrh0Dwe/uo4fcp2L4GZXAm2ZAndr26W/tiV5pd41CN6LQ+VYsIfae0j +wL/pmbLNmof2GfZ1EXQEJywv9Jq1g4dvq563/zxA4MBunTFj9vLwqXNNv407 +gY+3VfGdJw+r33v8Lfag+Vj/fWa2Hw+9oh6MnXqIwMLLvTUhYTw8+TVT7tRh +AjMGT0yxP8PDoNVm8n1eNB9rZHXnJfPwgMoZWesjtL+F1W3iNB5q5p+RfHiU +5o2TgeWvHB5eClrzW/MYPS8syr2ugPbTXNoZ5kv5ZBetuFfKQ62pf5q6/ahf +Z6TUJlbzMLVgpMIqgIBGyhjG/x1dD5XfKQwkIPpeJbPzEw/LF2xPnBRMoKts +w+11nfS+n6qOnQih+h/8KZg3wMP5SwRbu44TmG4/VmfqKA9vFBrMXx9K84d1 +9wmX5mPfJUPR/TACFe1DJoFydL1WqXPiSQIeUtB8hMtHW6UvxcGnCDj1Htrk +IeRj0aarp79F0Dzd/CLLTYmPi+wtt5pH0fr9uz+4TOSjdPDAtLunCXwODOp2 +0uRjq1Jcj0oMgbJXixt3TKP73Q3yAs7QPC94e2XbDD7+/vj6UEcs5Xuy6wp7 +Az6euHvEaE08gbzfhpVbjfm4G/V6byfQebTQZrr9Aj46verNmHCOwPgBud3b +kI9PcyvsfRMpv8aHQ3Ys4+Pg3AJB23kC9ydV+jqt4mPw9fInK5IJjP1gvNHF +nI8tGwb23UwhEHT9i7ybFV0HrlQWXaR6KFW46L6Zj/G+zx4fuUSgyOe14Ig9 +H1+d9nD+cJnOh5m7HAMc+fhSYr3ssqs0rxazsWEufFRW2pWWmUogQrvoaowb +H8ep5Zvy0yh+Dg1nktz5yKw3az6UTvV/1G9HmhcfXUaVPJoyCKTKtPDuHONj +8a7ZsoszCTy+rnmhOJCPc18mnku7QfFj/BSrTtD+PC2mKWYTICMT7RpP8TEx +xS734E0Co3oGJ79F8/FC2KOF73Kono50JA7H8zHjUEDpwtv0/IeuJ+WT+Nh9 +9cryK3cIVLX/tFO7xEcLS93nsnkEDn1N5+pf4+OUB6or3O4SKK4ovGKaycfM +iT5ltfcITEiwVbLO4ePjvDWL/r1PYNbee/td8/io/iDubkoBgXP7/2QEFfAx +ZI+17pgHVP/v7MsSi/l4cORcsksRgbiPciW3S/koeX2r4suHBPY36F15UcHH +nPTrR2Y/IuA9njh9rubjHv3Az+ceE7j3N0V+tJaPdYe+rvn7hICr5MpYlQY+ +Gt5qu+NYSmB9ku6ocQsfTzNe45+X0fm60X2dVSsf77xK85pZTuf1U/NA9y98 +nD/Rqz72GdXzyZ9nY7qoPnS6DIcraJ5bnTxzu4+P16fJR9q/IKDZYnawdpCP +M5e//VxaSSDmm7XRL5aPEfmW83WqCSxa+6NpvKQAn6cHR0a9JPCqw9hlvowA +ry/b/19/DdX/Zaf39goCXFGspLf5NZ3Ph9L0Q/gC/GEScqS4lt7XecbeTLEA +LXrvlk6pI9AbpBXxWkWAvaO3FcLf0vfS97IzwxoC/J1wzLK7nkBG+Vx/zakC +fPCfcvyGBgKeq3Ms1+gK8NBoZP399wTCHtjJe+kLsHZSi1i9icA3Z7frV4wE +eHO3wobgZnq/ayL9mnkC3CIxMeprC4Hm1sCkkUUCVJcf/2ztBwKt0e3duksF +uOoG+XPnI4F1Bgd0bFcKUGZcjaFSK4Esi/WrT64ToPmSs86+bVRP4UVWDzYI +UNnfOqH1M4GGwA/LftgI0KdF+HR5B83vH53qk+wF2Ob3qi/rC4G1J5mPGxwF +6Boco8Z8o3mjFRIe5iLA6fJ2y7y+E+hOPKha7CbAEQMD1+ZOyt8LhYRf7vQ8 +JaWYxT8IDGUGD0/3FmBCozAvrZv6f568mZOvAF/Fab9V6KV+C3rlkxIkQE8H +218H+qg/U2ST3oUKMNQ+W1D/k4D9rY9XmUgB1l+ZqrfgF8WrKyJh3RkBdqx4 +ZnZpgOor2sTj1FkBLtydYD92iL5Pv06Z/zxZgFmqZz33/CYgu+Zgp+wVAbp7 +VYfVDFM8NaxDl6cL8MUZkyQjlsCZehluWJYANwV33kgcoXh13/Z/fluA/9o3 +Ff79QyC8P7xZIV+AZ+YKKhxHCaz2ffyPeZEAyzVj3lRIsJBsEGoT+0SAUYbb +WvSkWPhVwvNuKBfgzCP+7WfGsKDZeypYvUqAn2UHO4ekWTA6rufj/Jqe31Pe +u0WGhU12Wtuy6wU4CQb7n8iycNYmQ3+wSYBvZcIGtORYiNjf3gWfKF5WAQOn +5FlwusQ7e7JDgFeM2/p7FVg4/dtmZn2nALML8no3cljwjum/o9knwPnff3cW +clnYfkYw9cCgAHPf5LZr8Fko0m8PKWYF6Bz4rSVEwMI/mZdqOZIMuvxJqfvG +sKBrcZhrL8PgFMu3z9eJWLjke+7fHAUGS4/HPswVs3Dv/DxLSQGDW6425yhN +YOG5WoSN1XgGN93Ou+SrxIJiaMm6DFUGne5pRLcq03q7eUZ/JjH47f5kv+Wq +LCTsuDZugxaDusXFe7LUWDBUzq+6Pp3Byhdko0CdBcsVXgGSBgwqtr2HwxoU +n1ylf2yNGaq37dpNk1gomfEyP3cBg4WmMXQIs7Ai7sUC7mIGmdMHB1KnsKBd +j7d2mzG4rVe6UW4qC6IuR3H5agZxl/nDfVosVLTs3DvFksHEfquLb6ax0P3o +2J3ATQyK4pUD/tVhoT234ftHOwbHrbq8LUWXhfvfskWLdzDowe81kZrBgvwF +/VlXdjIo3SGnukuPhYsqMSbSrgyOlv8crJzJglT+WJNdBxk8l3Pz9axZLKg0 +PJ5ZeZjBX+cX34g3YOFn7wAz6xiDXcE5wcSQ1g9o+BYfyOBNpxHbbUYszBAn +546cYNDQeIZB2RwWFFZ6HnCKYNCrz1RGZy4LN8viJlXHMHgqamlj5L8sEBOD +MuOzDD6UnpP9cx7Fw9vX7nIyg92rlPytF7BQvjS7Q/EKvZ/1T/OihRSfoF/O +R9IZ7FR/pjF5EdWjWuj7jiwGlc6e7z4OLPynmLh44x0GK3IPFH1HFqLt7C+U +5TOY6rI23NyUBYeJCr1GDxn0yTDamLeEBeNDb4zTShi856w7SXkZCzaxne5K +FbR+jOF3XzOql7uhqaeqGdRSt8xtXU7razdXjtYymEXCfZavZCF26cRvng0M +2kz4ZJq1ioWx7v4j31sYdHS0lROsYWHN1LkyDm20v+rhl4fWsnDik7dM41cG +95mWxjauY2Hm3CN/1nczmHer0BosWMgoc+2s6mfQTfqzSqolC3HGYa+WDzN4 +X2dJy7gNLHw0k8gu/csgR7H5gpsVC1oP5QJRWoiKCXe21W5kIXX/+zXFckKs +v/1CY641rW+ayjfhCdFopfaHJBvqD62LVUUiIQ4trUmRsGVhvOpogImKEM0i +S+2c7Vj4PHNY75GGEHXk5ZRfbGGh7ljJm8VThRh/5erbmfYUv5nR7k91hTje +5GxM7DYWdHzOyq+aJcSoR1/W/N7OwnAGJ7lmjhAdeImyWx2o/uS1p21aIERb +Qc6TJ45UH1JqWS0oRIPrej5azizsHlWfvtNMiG2FSkandrKQ678ztWe1EFV1 +PLt6drEwjqetdNSS7q9fkmq1mwW/5YknxloLsffqKbuCPSzMe93TE7NFiAEe +5oy6KwsbHHZYaTgI0WNqbEWQG+X30ZS87F1CzEy09fuyj4W8QleeiZsQL+Rc +n73mAAur5rjvrHYX4iSzkK+3DrKA6nsK7L2FuHBBd7LYg/LjcXJcn68QP7h2 +Whz1ZIEBOauQYCH+zveX/nCI4pWklqwULsSm3zfzl3ixYHqHfMyOEmKWgu+e +DG8Wpt9/r7k0TohPK3+ocY6y8LevZ0dTIv0uHFtz0IcF11yPCx4XaT8PywPq +j7GwyD6pQfGaEL2vGhsu8GMhbUcKPz1TiIYXbNou+rPAXXjLzPQW5fvErDjp +QBYcj8r7/HdXiKazS5buDmKhIL812+eBECV9BQPVwSzYp+z/oPxEiDhf85rh +cRZs277wCsopfvjb6uwJFo5bBMHmKnrerrPSI6G0fsGhfeS1EE8HjsnbHs7C +Bcnh5OR39H5O6Pj0JMVHbUkltAhxV7sloxvBQvW4U8NtrUL0ql/wJCqShd/1 +strhX4WYJi91oD+KhU+pvZv0u4XYaJWhbhNN/Xjh2In6fiH6nzCsLophoe1v +6z2/YSGOO5jqMzmWhVs8u6/TRoXY8VlS90QczSNdNdVaaREm31nX8D2e9pe3 +1dxXXoQV16NOmJ+l/P5jfVyHL0KDxKdGeeeonkfhYb1YhEXmQ61K51lIf2c+ +FKIqwr1J02J8k1g4b14822iyCINX2kJrMgutE0rdP2uJUGZa7A+zCyzs6I3P +i58hQmeJ+qQbF2m99H3Dyw1FmHpZaxX/MgvXlY8vZueKsOVt2G/PK9RPRoLI +HBMRTnKRSH9/lc6DvlXNTktEmK8Zs3HRNepf2z36qitFqFezSPpqGgsB4ekn +ateJ8K8xJ1c2g+r52vzWk1Yi/Kgp4eB6nc6bz3amS21FOGKrKnidSfMxYkn6 +320ibExzeDwniwX1fh1BobMIv1S/338+m+bf0eUBh/eK8G5CiMboTbo/ru7X +7IMiXPRsZ43jLerPp3L7fx6m95ka4l9xm4UDSRo9t4+JUHj4o75eLgtq+esO +uQeJUMXP/2NMHgv/PquRNAoToY6kc8zgXRY4J5viBiNFaFcaZ2qXz0JlZebM +wlgRuoYyvx7dZ2H+7sM1fokUD17rtX8Kab11Xl5LL4pQTUPWJvwB9Y9nh5bC +NRHGHz4u311E86h9pKU2U4Ry77Y/XF/MgtyD/uSkWyI8JplyIP8Rzf+J0k7O +90RYe9fkH7UnNI+X7Jo9q4jin2vWEFDCwqDHJoWRJyLsKngQ0V5K/T5Woavi +mQi3hF5avOopC7u2FL9NqBahROPvwZvllO/u6xXOb0Rovr8iS1jBwneQfTrn +vQhbpYWO3s/pvGjlVcp8EGHdpmbllhfUXz5/Ghs+i3D7ZO3Xi6uo/wrlBm58 +F6H3JBKWVk3xcdynHNArwgHupsUKNdRvy5xXbBwU4ct0IPtf0fw21Q6aPiLC +T6mFuXWvKf+r+sqlpMQ45/ELt3lvKL9byPgmWTEO3/HQvlBHzwvzdc/jiLF5 +TkGbVD2dr51576OEYgTJixd3vaPvr3uNa/Yoi1GqWntLVQP9PkWnykxDjJ4W +tsoGjVTvwY3W/0wVo6Hp3HfxTSwsNdDplZouRt7m0njSzILnefP41llibF8l +tXHbfyzILAhbXmosxr6qIVHZBxa2XOTIXlsoRq+49Lfanyhfjip1oaZi/LFR +fDaylb4PDL7d3LtCjH5Pl27+2Ub/X5531mKdGE8nzFOzbqd+7syPMrYS47lj +Qx8edND32jG9uIm2YlTSDUqd9JX6ydEiY+x2MZpYtuw+/o3yn2RX2e0sRiZV +cdb37yyE6Z3807BXjI1vhEPrumg9owlQdlCMujGDxbk/WJBsMom+5UXxirgf +qtRD5/HmeX0pvmIcOrzV0reXBRey1CEimNb/+1W1tY/m04TkNp9wMZJa+y9m +/SxMVDl6yPW0GHuvlOTe+MVCl4+Kkn28GBPVlAL5gzTfyu9XWiSJ0f2Hg/mh +IcpHXHT00stiNChNU2/8zUJPZMvOeeliPLrqS/ciQt8vbk3r9LPFWKCv/fgq +S/Xx5+kKrVzKj4bbmXF/WNg64b2VeoEYB0sLnN3+srAv1cJjwiMxHngumF87 +SudNyoOiJrqW+P9vBP4HGFnMPg== + + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22265}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.71490723455093*^9, 3.714992966088601*^9, + 3.714993481659814*^9, 3.715473507695345*^9, 3.7154736225648108`*^9, + 3.71571284504664*^9, 3.715733627341806*^9, 3.7157668746025467`*^9, + 3.715887859233507*^9, + 3.7159007726258*^9},ExpressionUUID->"933e28d1-e34e-4e16-89a1-4656da42864c"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{"yy1", "/.", + RowBox[{"Evaluate", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"\[Theta]cf", "[", + RowBox[{"xc", "/.", "sol4"}], "]"}]}], "}"}], ",", "sol4"}], "]"}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.714907240520297*^9, 3.714907240607555*^9}, { + 3.714993486410479*^9, 3.714993486532962*^9}, {3.715473527296673*^9, + 3.715473544920722*^9}, {3.715733645051826*^9, 3.715733655769355*^9}, { + 3.715768498935278*^9, + 3.7157685039555283`*^9}},ExpressionUUID->"fb86b424-08dd-4baf-9562-\ +e5b8d4ec323b"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.025536974521877396`", ",", + RowBox[{"-", "0.017621558207938367`"}], ",", "0.017961054818814333`", ",", + + RowBox[{"-", "0.023329050399972677`"}], ",", "0.03528983567426634`", ",", + RowBox[{"-", "0.058664889187964635`"}], ",", "0.1036635446284033`", ",", + RowBox[{"-", "0.19110257755577983`"}], ",", "0.3635224315776018`", ",", + RowBox[{"-", "0.7087075603296236`"}], ",", "1.4098635220545876`", ",", + RowBox[{"-", "2.8538832998874573`"}], ",", "5.868007114823258`", ",", + RowBox[{"-", "12.244860979252204`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907241156765*^9, 3.714992970455934*^9, 3.7149934888284607`*^9, { + 3.715473535060354*^9, 3.7154735583353662`*^9}, 3.715712866826226*^9, + 3.715733657427671*^9, 3.715766877744626*^9, + 3.71576858946276*^9},ExpressionUUID->"44782a02-5271-4bc7-9275-\ +b1540d0b4258"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", + "#", "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "14", "]"}], "-", "1"}], ")"}]}], "]"}], + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}]}]}], "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", "1", "]"}], "]"}], "}"}], ",", + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], "yy2"}]}], "]"}], + "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"1", ";;"}], "]"}], "]"}], "]"}]}], "}"}], "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.715410976773264*^9, + 3.715410977525257*^9}, {3.715468725789383*^9, 3.715468731252613*^9}, { + 3.715468766421323*^9, 3.715469006848844*^9}, {3.715768260999069*^9, + 3.7157682611760063`*^9}, {3.715768364740471*^9, 3.715768364907175*^9}, { + 3.715768395124449*^9, + 3.7157684226262007`*^9}},ExpressionUUID->"69d62d68-7fdd-46ba-81c1-\ +2557d5f15b9b"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -6.438427652944157}, {4., -7.822933048993086}, { + 5., -8.801973336933848}, {6., -9.49333155242283}, { + 7., -9.961546216597604}, {8., -10.247439323978423`}, { + 9., -10.379181751531982`}, {10., -10.37739278646102}, { + 11., -10.257820785733673`}, {12., -10.032888269348499`}, { + 13., -9.712645573159001}, {14., -9.305391499979875}, { + 15., -8.81809471912721}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335355}, { + 3., -5.8303916975635035`}, {4., -6.504456136060896}, { + 5., -6.753788170289914}, {6., -6.745357679406993}, { + 7., -6.573583489286876}, {8., -6.2919564627843885`}, { + 9., -5.931611058848266}, {10., -5.511723944263164}, { + 11., -5.044792671130916}, {12., -4.539309015750113}, { + 13., -4.0011753790493225`}, {14., -3.434491614318394}, { + 15., -2.8420011936442457`}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., 0.20082428216259543`}, {2., -4.360775076335285}, { + 3., -5.830391697563509}, {4., -6.504456136060981}, { + 5., -6.753788170290081}, {6., -6.7159247424693485`}, { + 7., -6.460354678470231}, { + 8., -6.028874663405286}}]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -11.147085415267883`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 15.}, {-10.966959864515015`, 0.20082428216259543`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-11.512925464970229`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.819778284410283`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.41431317630212, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-10.126631103850338`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.70805020110221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{ + 3.715468973603348*^9, 3.715469007107333*^9, 3.715712813764515*^9, + 3.715720425574378*^9, 3.7157210480853786`*^9, 3.715766841900373*^9, { + 3.71576833876939*^9, 3.715768365847624*^9}, {3.7157683959956913`*^9, + 3.7157684233676023`*^9}, + 3.715768717829391*^9},ExpressionUUID->"7fbef6a1-c950-4338-b8ec-\ +fe94a3c48319"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol6", "=", + RowBox[{"runtilsuccess", "[", + RowBox[{"Hold", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"If", "[", + RowBox[{ + RowBox[{"0", "\[Equal]", + RowBox[{"Im", "[", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"1", ",", "2"}], "]"}], "]"}], "]"}]}], ",", "#", ",", + RowBox[{ + RowBox[{"Message", "[", + RowBox[{"FindRoot", "::", "imag"}], "]"}], ";", "#"}]}], "]"}], + "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "6"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "5"}], "]"}], "]"}], ",", + RowBox[{"eqsh", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}]}], "]"}], "/.", + RowBox[{"\[Theta]c", "->", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}]}]}], "/.", "#"}], + ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"xc", ",", + RowBox[{"xc", "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "/.", "sol5"}]}], "}"}]}], + "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "14", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}], ",", "#"}], + "]"}]}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "8", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "4", ",", "4"}], "}"}]}], "]"}]}], "]"}]}], "]"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714835128182406*^9, + 3.7148351701917686`*^9}, {3.714835372115904*^9, 3.714835579009191*^9}, { + 3.7148360624561443`*^9, 3.714836155911949*^9}, {3.7148361995373497`*^9, + 3.7148362027018843`*^9}, {3.7148362348663597`*^9, 3.714836263594763*^9}, { + 3.714836366405016*^9, 3.71483637752115*^9}, {3.714836510342329*^9, + 3.714836526077055*^9}, {3.714837177097157*^9, 3.714837243129307*^9}, { + 3.714837287186837*^9, 3.714837379443421*^9}, {3.71483744582321*^9, + 3.714837542699903*^9}, {3.714837973050202*^9, 3.714837985908637*^9}, { + 3.714839513686248*^9, 3.7148395307010183`*^9}, {3.714839584176551*^9, + 3.714839591006164*^9}, {3.714839628105525*^9, 3.714839635062788*^9}, { + 3.7149929813211308`*^9, 3.7149930572751303`*^9}, {3.714993201387678*^9, + 3.714993276113892*^9}, {3.714993514627927*^9, 3.714993573711721*^9}, { + 3.714993618272176*^9, 3.7149936319932013`*^9}, {3.714993712670537*^9, + 3.7149937312517977`*^9}, {3.71541115155973*^9, 3.715411254028701*^9}, { + 3.71541129443456*^9, 3.715411392715787*^9}, {3.715473144458869*^9, + 3.715473197523966*^9}, {3.715473248373102*^9, 3.715473248612637*^9}, { + 3.7154732996859293`*^9, 3.715473317472999*^9}, {3.715473415747802*^9, + 3.715473415831283*^9}, {3.715473652598501*^9, 3.715473730732518*^9}, { + 3.715473945336072*^9, 3.7154739673040543`*^9}, {3.715474038897962*^9, + 3.715474063809554*^9}, {3.71547426166113*^9, 3.715474263789453*^9}, { + 3.715474378470887*^9, 3.715474400638853*^9}, {3.71547445398438*^9, + 3.715474494776479*^9}, {3.7154745337057962`*^9, 3.71547453415338*^9}, { + 3.7154745987071657`*^9, 3.715474598810088*^9}, {3.7154746764088583`*^9, + 3.715474755672414*^9}, 3.715474799083167*^9, {3.715474856251543*^9, + 3.7154748680297527`*^9}, 3.715502340731983*^9, {3.7155025252693567`*^9, + 3.7155025264094954`*^9}, 3.7155025660195312`*^9, {3.715502625283226*^9, + 3.715502684735441*^9}, {3.715502727174329*^9, 3.715502761500744*^9}, { + 3.71550303478548*^9, 3.715503042129369*^9}, {3.715505176290502*^9, + 3.715505202391337*^9}, {3.715505965944528*^9, 3.715506026412611*^9}, { + 3.715506058473138*^9, 3.715506169490987*^9}, {3.71550702420149*^9, + 3.71550702724295*^9}, {3.715507774421447*^9, 3.715507798453199*^9}, { + 3.715515216617305*^9, 3.715515251876174*^9}, {3.715517412543662*^9, + 3.715517432158535*^9}, {3.715534819562887*^9, 3.715534916996355*^9}, { + 3.715535576232161*^9, 3.715535610429991*^9}, {3.715535708399333*^9, + 3.7155357111436777`*^9}},ExpressionUUID->"d925adb4-6a15-4826-83d0-\ +236ea788ed9c"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"6.088051556209502`\\\", \ +\\\"\[VeryThinSpace]\\\"}], \\\"-\\\", RowBox[{\\\"0.000013905951308873811`\\\ +\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\", \ +RowBox[{RowBox[{\\\"0.3953974790189071`\\\", \\\"\[VeryThinSpace]\\\"}], \ +\\\"-\\\", RowBox[{\\\"1.863038172424068`*^-9\\\", \\\" \\\", \\\"\ +\[ImaginaryI]\\\"}]}], \\\",\\\", \ +RowBox[{RowBox[{\\\"1.1807140505699132`\\\", \\\"\[VeryThinSpace]\\\"}], \ +\\\"+\\\", RowBox[{\\\"0.0006999052423325644`\\\", \\\" \\\", \\\"\ +\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.947697628870665`\\\"}], \\\"+\\\", RowBox[{\\\"0.0019016670517561847`\\\ +\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"6\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"-\\\", \\\"0.02728957444698618`\\\"}], \\\"+\\\", \ +RowBox[{\\\"0.001983497455128291`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", RowBox[{RowBox[{\\\"-\\\", \\\"27.48515499164847`\\\"}], \ +\\\"-\\\", RowBox[{\\\"39.07821152125753`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\ +\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"2.2945772273977196`\\\", \\\"\ +\[VeryThinSpace]\\\"}], \\\"+\\\", RowBox[{\\\"3.8725325804057253`\\\", \\\" \ +\\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\", \ +RowBox[{RowBox[{\\\"0.5368579635904156`\\\", \\\"\[VeryThinSpace]\\\"}], \ +\\\"-\\\", RowBox[{\\\"0.00030361208823263857`\\\", \\\" \\\", \\\"\ +\[ImaginaryI]\\\"}]}]}], \\\"}\\\"}]\\). Try perturbing the initial point(s).\ +\"", 2, 738, 728, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155357126234207`*^9},ExpressionUUID->"8c43e34b-8f4e-4ac9-81f0-\ +ed517a9367c9"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 738, 729, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155357126381893`*^9},ExpressionUUID->"5483f57b-5c1b-429b-aa73-\ +0d21b1ddd067"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 738, 730, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155357177167273`*^9},ExpressionUUID->"9de85a95-7c55-4330-ba76-\ +c48b72848c3c"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 738, 731, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535721449355*^9},ExpressionUUID->"36caa8bb-31d8-4dd1-8733-\ +ef352b032907"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "lstol", + "\"The line search decreased the step size to within tolerance specified \ +by AccuracyGoal and PrecisionGoal but was unable to find a sufficient \ +decrease in the merit function. You may need more than \ +\\!\\(\\*RowBox[{\\\"MachinePrecision\\\"}]\\) digits of working precision to \ +meet these tolerances.\"", 2, 738, 732, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535722523753*^9},ExpressionUUID->"0d399fd2-8cff-45c0-92e9-\ +320a987dc2e4"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"lstol\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 738, 733, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535722533393*^9},ExpressionUUID->"37b4778e-d9e1-468c-a3df-\ +4c0e993fbd3e"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 738, 734, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535722537199*^9},ExpressionUUID->"b28d6217-aaa4-4196-ac2f-\ +065c37321554"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 738, 735, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155357473491898`*^9},ExpressionUUID->"e53fefde-bb74-4407-9553-\ +cd85770a698b"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"7.391854063682111`\\\", \\\",\\\", \\\ +\"0.8372923725446725`\\\", \\\",\\\", \\\"1.1510816298915623`\\\", \\\",\\\", \ +\\\"0.4513077084765163`\\\", \\\",\\\", \\\"133.28069904583126`\\\", \ +\\\",\\\", RowBox[{\\\"-\\\", \\\"1.979060289557504`\\\"}], \\\",\\\", \ +RowBox[{\\\"-\\\", \\\"529.4347899577647`\\\"}], \\\",\\\", \ +\\\"784.6950377610416`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"517.9182404730042`\\\"}], \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.25296382285872376`\\\"}], \\\",\\\", \\\"1.41211839901267`\\\", \\\",\\\ +\", \\\"148.68794788719137`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"15.781166307214821`\\\"}], \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.8005381773700961`\\\"}]}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 738, 736, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.71553574843435*^9},ExpressionUUID->"61d0eab0-468a-4ea5-a52e-\ +5f47648550e8"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 738, 737, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535779476571*^9},ExpressionUUID->"b040ce96-6cbd-413a-a25e-\ +fc8a3b30f4ea"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "imag", "\"Imaginary solution.\"", 2, 738, 738, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535779480414*^9},ExpressionUUID->"9a9d3e52-65a4-4faf-9362-\ +c879d35a02d6"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"imag\\\"}], \\\"MessageName\\\"]\\) will be suppressed during \ +this calculation.\"", 2, 738, 739, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535779484309*^9},ExpressionUUID->"c14f35d6-8970-4cc9-84c4-\ +1e909d66a7f7"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \ +\\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"3\\\", \ +\\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"4\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"5\\\", \\\"]\\\"}], \\\",\\\", \ +\\\"xc\\\", \\\",\\\", RowBox[{\\\"b\\\", \\\"[\\\", \\\"2\\\", \\\"]\\\"}], \ +\\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \\\"6\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"a\\\", \\\"[\\\", \\\"7\\\", \\\"]\\\"}], \\\",\\\", \ +RowBox[{\\\"b\\\", \\\"[\\\", \\\"3\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \ +\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"6.609947801982901`\\\", \ +\\\"\[VeryThinSpace]\\\"}], \\\"+\\\", \ +RowBox[{\\\"0.0006465392096519873`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", RowBox[{RowBox[{\\\"1.0188186690934466`\\\", \ +\\\"\[VeryThinSpace]\\\"}], \\\"-\\\", \ +RowBox[{\\\"1.2190254358433504`*^-7\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"1.6748909283961921`\ +\\\", \\\"\[VeryThinSpace]\\\"}], \\\"-\\\", \ +RowBox[{\\\"0.00037769173649891653`\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.9467641577512992`\\\"}], \\\"-\\\", \ +RowBox[{\\\"0.0025317760437166947`\\\", \\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \ +\\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"6\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\",\\\", RowBox[{RowBox[{\\\"0.8916249677216139`\\\", \\\"\ +\[VeryThinSpace]\\\"}], \\\"-\\\", RowBox[{\\\"0.003105479083046207`\\\", \ +\\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\", \ +RowBox[{RowBox[{\\\"224805.32986160836`\\\", \\\"\[VeryThinSpace]\\\"}], \ +\\\"-\\\", RowBox[{\\\"1144.3560927447268`\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"33663.06572874087`\\\"}], \\\"+\\\", RowBox[{\\\"138.6088769492995`\\\", \ +\\\" \\\", \\\"\[ImaginaryI]\\\"}]}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.6269706918974294`\\\"}], \\\"+\\\", \ +RowBox[{\\\"0.0007116167983972856`\\\", \\\" \\\", \ +\\\"\[ImaginaryI]\\\"}]}]}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 738, 740, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535780560916*^9},ExpressionUUID->"fd1b47b6-42e8-41d2-8542-\ +9ad5dd2a03a7"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"jsing\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 738, 741, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.715535780561599*^9},ExpressionUUID->"2fc6b7dc-735e-4183-9ab3-\ +3aa8092c7755"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"1000\\\"}]\\) iterations.\"", 2, 738, 742, + 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155358351547337`*^9},ExpressionUUID->"20fc773e-226c-480e-95de-\ +1e37ddadc92a"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"FindRoot\\\", \ +\\\"::\\\", \\\"cvmit\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 738, 743, 30811979640748347865, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.715534939767075*^9, {3.715535597342326*^9, 3.715535629487247*^9}, + 3.7155358351594954`*^9},ExpressionUUID->"1b119a84-2438-4977-9678-\ +fee356fe2ae3"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "6.829942400908888`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "1.0127239889259845`"}], ",", + RowBox[{"h0", "\[Rule]", "1.1710973778761677`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "0.354165544120017`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "11.6517570146364`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "1.2967255543273848`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", "48.27451953840882`"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "81.08368288964395`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "67.99033899331793`"}], ",", + RowBox[{"xc", "\[Rule]", + RowBox[{"-", "0.7226768999021846`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0.5196468948938917`"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", + RowBox[{"-", "27.396743074143416`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "4.159588083959552`"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.0670288707980118`"}]}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{{3.715474411662751*^9, 3.7154745116977987`*^9}, { + 3.715474556373023*^9, 3.7154746140996447`*^9}, {3.715474686218193*^9, + 3.715474750327375*^9}, {3.715474781392761*^9, 3.715475039233222*^9}, { + 3.715475073120153*^9, 3.7154750760021343`*^9}, {3.715475152564402*^9, + 3.7154752770538483`*^9}, 3.7155022428924923`*^9, 3.715502273345207*^9, + 3.715502335210167*^9, {3.715502382295437*^9, 3.715502405969297*^9}, + 3.715502437359427*^9, 3.715502641778809*^9, 3.715502686864682*^9, + 3.715502740193681*^9, 3.715502785009493*^9, 3.715502864327681*^9, + 3.7155028961039352`*^9, {3.7155030355184793`*^9, 3.715503042434491*^9}, + 3.7155039881392593`*^9, 3.715505277411272*^9, 3.7155057325531797`*^9, + 3.715505870790304*^9, 3.71550690686268*^9, 3.715507036774761*^9, + 3.715507322231258*^9, 3.715507512953807*^9, 3.71550768843256*^9, + 3.715508208916902*^9, 3.715508825038621*^9, 3.715513402828618*^9, + 3.7155152423117533`*^9, 3.7155174082212353`*^9, 3.715518431646163*^9, + 3.7155348891959543`*^9, {3.7155355743245573`*^9, 3.7155356075753193`*^9}, + 3.715535705931678*^9, + 3.71553679548909*^9},ExpressionUUID->"136df65c-3c77-4321-8697-\ +6401d48427e1"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", "a", ",", "Nf"}], + "]"}], "[", "\[Theta]", "]"}], "/.", "sol6"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], "/.", "sol6"}]}], "}"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714808243331522*^9, 3.714808245322274*^9}, {3.714837252376389*^9, + 3.7148372526476994`*^9}, {3.714993287664439*^9, 3.714993292931672*^9}, { + 3.715473423528088*^9, 3.7154734267434*^9}, {3.715473561345592*^9, + 3.715473569770239*^9}, {3.715505447337924*^9, 3.7155054531762342`*^9}, { + 3.715534893626403*^9, + 3.715534896034327*^9}},ExpressionUUID->"b2086eae-002c-4cce-bb80-\ +48583f67dba1"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwt13k4VG8bB/BKSqUsKS0qlYgkUkL4SiUhWVuULEVClJKSSkqLdlKhRSVb +SEobObKVyDJjGcuYxTp2M8z4lXifruv9Z57rc50z59znue9nW+rmZ+s+acKE +CcHk51970/NJzkVTF6Nr/2+/1DgrDTYa4tobr8oB0m5p2TM9o3EHfi+8+SWd +tNO8HM7daXSCy1YVo3DS+qTRdS40HsUDryA9L9IuqoiYHdh4Do5Sm2WXk1bo +zJ94ovEWmtgB+ssabsFt5bL/jjU+gXTbkeyltU/AVdDe3K7wBsqaH7f3ir1B +pjBaJV/hI1QXq248M/gBsWeWJy4Jy4VYgcrPCwty4ZA/pKywrQAy5yYoh9Ly +UXXmzY3JU7/jq/tRtzmaxXAOkLhsLl+Kl5MvpGrFlmDT2IrPD+UqYL16qot4 +ShluPv51Ic6jCrJSNW8OalUgvODirUzfKiR8Sot5tLEC17rWxxaeqkJWvlFe +8dYKXNJ9+qHzShU0bDvTZzlWIKjat1czsQpxp8UKLEMrcERSet+3jipY/7ZQ +uFBVAdNgWx2uJw3rKwdW2a+vxIT9dT3LvemI0Mvl5hZUwm1temaqPx0bbGuc +079XolAi7PT6IDpuN+TEx5RW4mrW2snbrtPBGth66Qi9ErOkbi/0SqSD/7wq +hM2thEL+FvOMFmJXFcHaiVXQXZmZaLC/GndlAvrdN1YhZuza0aKD1ajJk9re +a1SF0WpnbSvvatg+H9l73KQK1MWZlHNQNbJeuMX5ba+CaaNnbeijaqybOvph +y+4q2N9eIl5SXY2Dz5ZVWvtXwW/oppvDjhoo73AP7H9VhR47ps4n+xqIplx8 +9TepCp7vVs9YuL8GjgzxRInUKrj4l79je9Xg2/mzSnMyq2A7ICXuc60GxnVS +MyRyq6DTE5EYWlCDnJ2WcQ41JL6WRz1v9Grx+GmK7b2JNJzezMuT3VQLBVsP +Q/3JNAy/0IsKMKvFE/aXSewpNPS5Nhhu3F2LwdLmxcskaWCxFt4pPlmLp7iT +HDKXhvzGp1rMN7XY3hB1KlGNhmv0+FPTlesgGZk9Mc6ahpt+ClNmadRh8amH +d+fa0XBvxv0oGZ06jNnphl53oCFm86X380zrsEnYd++QIw2p71z5yh51iK9U +v9h/kIbKyMW+mxPqkHN47pO9p2iYb//IPViZgd/iu+OuPqJh8YDU8AUNBhT0 +dzXdjKFh2c2rly/pMHD4ZmT87cc0qBeeehluysCv6wvYV+NoMFrnwHnkwcCt +79c1bZJocJOTdcpKYCDhwd104480pFTfsO9TrseLUcevz2g0yCoqP/bUqMcs +o7bri6tpOOud18JdX4+LJhOvxdTQYDlp2L9uSz1SF/9cEs4g/bXmwL08t3rc +CrXu29ZMg9YNzfKIp/XQuyb+EDzyvbU/58xMqMfuyHbriC4aJi1zd7qaVo8P +vWv3crtpoH2K7jmbUw/NKxn7g/poONk+aYZ7Qz3WOTm7hwto+LSpZtuGuQ24 +mnZZV/0vDYq3/O68XdSAlnshhfZjNFxnTKtbtaIBu6/Rc4PGaXD0M/JQXNeA +PSe4U6iJdIw+Trw8zbYBMbfFFFWn0IGRM98abzWg9BPLMWwWHcXpizeGiDdi +9NCXtKOL6PigwzaMndmIw1LDNxwX05GY+9z4w5xGyDaJvmxZQse1ciXTnhWN +MPtUJS+zlA7zPjWbPaaNWHRBfEW4Eh0Vqzcc1rzaiOq3qY4TVtGRlzVyxOJO +I7afcisoIM4w/OLj8ZBc7/LNuKxOxu0OQ//HiY1wvMNTGl9Nh/3RzeckfjRC +ovltTa0mHYzUnZFsiSZcmv7dTk6Hjh/rZB78kW5C8re86LfEn3Noj+bOb4LR +e/FYyw10xJQ5PLVUbYL9lKfMs7p0OPXsS/60vQlZTj3FlD4dVicXpdJtmvBu ++SwLi410GI02p/ftbUKt7fLEamJFSbf3Sl5NUD/9fphtQAd3lSd1N7wJ9xW7 +bdlGdNDeqea/jmiCYbnkX0fQUbCxu7A4pgndZmGP6cTxFr4/R1OaUHnJ9Weu +MR0e3idrPEubYJ6Wbn7OhI7ulJBuY0kmgrcEr366lQ5hdvboejkm3r5WMxsh +nvRLOHOVAhOyagmvrE3pmNfvozlHnQk+7+OGUeIt2nsDeBZM9CxJWgIzOnZu +uX+l2Y6JR+Yyn24QOzpUPKTvY8JSqT2jlvh44NYvX72ZcEsroR3eTsfTbK3x +ezeYiHuZYBxoTkdymY/01UgmVAJubf1I/J6ZuDQ4lokf7hNKholLxxdt8XjN +hBwj19HXgo6RzdOv65cysfaPn5yVJR1iDltj1tCZOJkWfDqUeJZHyGulRibW +s16fySJecU34a1Y3E4Y7mW7yO+iwLePKtkxvhuPEOoNSYifmIiWGbDOuRuoI +h4g9+/as/7WgGT7pn7wXWdFxQbpi90e1ZnBUvsV4EYcvnX4kdW0zzA7P33+H ++MHarUHP9ZuxoXUDL5M41T778Q3zZtz3DDolJP7oLkwLsW2Gu9LZ83N30pF/ +SosKcGzGkTN/XNcT1z9K5Dh7NeP9dpNSP+IpzEjldeHNqNR8FlVHLNNXvkE1 +gsTnb97ZR6wwPm374phm6Pot0xG3pkN7aYi3REozjsluoWsQG63NDv77thkr +f4epmRCbbxbe4n9uxgeZtpv2xC7uPhlNJc14UjMceorY+1Tit6qqZiRvTVx8 +hfjUVS6tuL4ZFs4BNfeJQx8tas3mNKNI2e31C+JbyXuGM3gkHt9j8W+IH32J +nJIw2AzfypeF2cTxpeXysf81oyJhgvR34i+9W/TDprFw7J2FbiOxavoLsUFp +Fu7dnRne8u//vhN+7Z/Hwrw7JzW7iaeuOfDgxxIWbl8o0uD/i6c/23mdCgsH +Xm29NkLc9ma+apwGC+y3+sZjxPbHAvkzdFjworr2itnQUahZkx1oyIKr5WPG +VGLtwbVhLVtYsNB5QM0gfvH2rtVOSxa+vV8iK0Us698nn23HQrR9CF2G+OJa +S47yPhbo/PEpcsQD/OSUCDcWnn1sfzOH2Pnd1JNjR1g4InOuai5x+Ql3Q6/j +LJS/meEnT2y4rmBK7WkWXp5vvPHPqUOKlZtCWGiOW7/qnxdmnY9Ou8pCgvdB +63//Dw9ocpt/hwU91/Sxf+/7vV5fPewBC72rXPRmEx8RPhweeMLCnOh8sX/x +MT4M5+5/xcKU+0tcZxGbBdpd+5HKwrDiN/t/3/dxw1ubde9Z6N49yPn3/coj +sxbGZbOQ7fx7xmTiqE8+rTMKWGB5KteOk/6bfOZnWuBPFjyTqM1/iLn/hRnv +rCfxPHSbO0hs86VlWjabhaToCaH/8pMXtImu3MlClO+6p23Ez/6Muo8JWQg8 +ETbMIJ6V47jGa4yFLiudDTRiGO0f7ZrExrXt8TqlxOljn4t2TWej0op5Nof4 +5oWAPRrz2bivknf2MfH2iz3nmDpsFLjs0HQgDnGNdYvUZ2MuK6vOgvjTJvNt +243YMKu3Of6vvldOSpLO2spGoem6a2uIp1w6+PKmPRsJ74efTSPOv9zwY6M/ +G9VhUtZ5ZPwYiS2aYXKKjTCjqR0fiD9fdN5hFsSGvJP+6zTijPOtVfahbPje +Ly6NJVb/qyy37wobxa92aUYSJ509sss1nA3vsTu0cOJnp/sajkawsUxwgB1E +vECkuejkAzZ+3Vhqf4L4QcAJ56AYNnY5dMzxIb7tP9Jy5QUbPQ+/Rx4gnj6o +r3wrgY2/cyfv2UMc5nfOMzKFDauCq0G2xME+k3qfZbIx5+yjrm3EI11b1iR8 +YONF7EbjzcQnjlw9nvqFDZ6Y7WQQ93WUvMvMZeNTIVd/I7GXh6TwUz4bD7cL +OjYQt7da6VLFbKyyuSr1b/5xO3gvqOgnGy5tcVlriZs59JzScjZi7YybNYn3 +uswdr6Kx0a506NYa4urmPZsYtWzsnDvtuwaxtVPspeYGNqbIqN3557JGZlFr +Mxspy/J4/2zmqCjRzWUjKCC/4d//Cxlu5oPtbKSbKXtoEWP3q5uiLjZSO5vv +aBN/qeko/9vHhl0ic58OsY69msxkARsG1TLlesSZNB+76SI2Zmd5dhkSr7Z5 +EyX9h43yc7/em/zLT8Vg3dxxNhS3q2qZEStZrVuwSIyDF9IHD1oRx5Wd2r98 +KgcGr5x3OvybTy0+P1WdwcGlxIn/7Sd+VPKHvUaKA/EQ1UPuxLPNjJbrzOYg +ZXfWfd9/+SsOcTeQ52CR9MXbp//lb2tBoslCDmQMPBwuEV8pEO8yW8JBubxB +723iSSZm6juXc3D+Yt3ef/V0Pi/c10GFg6eD058lEf9n9Ctj3yoOTp1IyPtX +jwMbbdd7anMwcH17Ug2xz5f7gb4bOJhc0RrQTtypW/f55EYOPgRKrRkhZq3f +b3RxMweNeotPLCb17vj+acjVbRwIfS6KaxPXruXk37LgYMZK/wgz4vI1Htti +7DjIEGem/Jv/zdOTrsft5sA6J8/wDnGRendpwj4OjOXEG5KIc1SPWb87yEGc +8iFDFvHr5UF7y05w0C74OWfvv/nov1+iW4EcRBVFzj9NPKVy6YOdZzkwvPxh +0SNit+ASGi2Ug6nn361tJJ5XM8+y/h4Hrzanso/a0mH62qcrJoqDAIcA3Sji +Exfzru2P5mCPeXriV+Ly1Z5FrDgOTHrL6mTs6Lh85aNR+xsOeM9zfn0nztw/ +g5n4jgMF7zmaI8Sstc5nj3zkQP7NrjxVezr0WVM+9eSS/pN7GnCXeHDDLi3B +Lw7kyv5c8HGg4wBvaPmEHg5m93Yec91N5iPKLP9bPwf0O+GiV8Sfox67XBJw +QJ2dUtdNLGey5cmUPxxsaW5PObuH7E9iIufOnM6F3Yt5fa/3kvF5rON9+Uwu +5F74XfpDrLxto91dGS5eqU29YulI1lMB987s+Vy8fT/YxCfWtVw7bcFKLlqH +m+ba7Cf7tWVXEhtXcXGyIGBfKnHkSP3WJ2u44MznK05zIuM7/mKo4gYu5k5e +pfud+NXfyj/KplzUdk1ocHAm69kbvz7tQ1y06UQLct1Ify3f3bXVkwtthZmr +DQ+S/d5Do/bdPlwkPGlz+EpcHzKz+exJLk5cbQ0pOETGh+3rXwWXudih3Het +w4OML2F7qt0rLgIONX+8S865T73Kk9yTueh8vGvVGh86pFlZ8YFpXHyzOP+p +gnjo++XHsVlc/NTOU5X3JeM5etnNliIuDDXUU6ljZD4wPOB9op2LiPA7xmdO +ketvtx4O6+JijsuUo/qBdKxSXn3wYR8XH7a5Mf4Sz5IadcwWctHi6HTyxhk6 +atjR5mJTW7CtyHD0WzCpr8s1qpEqLZDlvpB+eomOc6WWnZmeLXDbvth6SSSZ +Pycf737r04ITPbs1VO4TG0b1ZRxrQezbV75aUXQEvWEOpZ9ugZOXYMGOh2S/ +Eek78fW1FqQ1u2x7HkuH7767C14mtWBC2pB4bjypl266ZWRnC/Q8P6RVfiL7 +R6WRnRE9LQgqcpRU+ULHficFu3sDLVjIsu67kE3GY8WhvXdGWnDItsNIL5eO +Xe+G3W9ItGL7ndNKPwvIeeCs/IVLK1sRUv012L2CrE8z9r094dmK5ykTF4R1 +0tEfe1daw6cVNxtct0l3kfyoF/t1+rUibdgk/Uk3mV+stDScAltRVHV2JdVH +zlN3p742vdIKmbLwXwrDdOyY+z5+fnwrLvrF5ZtMqsb+pTMfUaxWzPl2t2jD +4mrMzDQRnWlpxfSU4xXTFKuRa3J617qOVnxf/XJ689JqKB5qkUvua4VUdqvs +rRXVaE34fC/ibysEHRf2ia+uho+6xw33hW2IjLLaesCgGmc3UOdn7G6D5363 +gNT91TjmcW3j3H1teH7L5tLAgWp4RNmMKDq34Y4XX2KDazWsBS3HdQ634TbL ++FSpezWU3ki4uwa2wd+k5L2MXzXKlG0tPj5sQ81Y4R3Z0GoozG2TP8gg9784 +hsbkanwdmv72y952/OBnlShPqMGhs20lIU7toKbb8Uon1WDGpDyuqWs75t5+ +WeYvXoO9UgFydM929A4uqiuaXoNhVVZgd2A7PC3wI2RODVY7vzNSeNAO0Ycp +Z81W1eBJyb6yc7R2TP3YWiizpwbnnqZ2GFt0wNb5yXWFDzW4532hV0K3E4dX +61q4BNcipURvT6cuDxc094nvcq0D5My/P13ZhTVV23smg4GG/k2xPurdGHSI +sGjSrUdJn5dR8KoeTK6LU5hs0oBTXRL12mt6IH3677TFpg1Qak840b22B74J +Zir65g0IYXKTHPV7UNljPPUMOVfrlDnO1tveA8eZ54ZlDjYgPtm8c9ijB/US +JUeyLpP7D6lF+L3oQbmUmlJ3Cbm/gdfmNr8XtP6lSd5OjVh5cmGz16JeZK9f +vyjZrRELZu2o9V/aiyxNnd9dhxvxd1NGcahqL1ip96SC/RtRmHwq8YVeL95w +fj+vJuds2zNiR7h7exF4X8Hi8LtG+M5b1OMa04vuER+e7awmuGRatR552osJ +Gdf/asg1wdYypOn4i17Sn33PpBc0YX1IS9nFlF5ELj2Y1bqiCaMdyWnPv/Ti +zqp16lWGTQj/qOPHaeiFKbsousC3CYm7rPkuC/uQbiOhYVNDzrVmkaZKS/qw +db+UX0hjE/r0amM6lvVBYt7Ou1mcJugs2r/ZV60PY9F2EVp9TShsOXz/rF4f +6piTfY5PZYJ77ILOg919+Bi4eZX8RiYW30gPKo3sQ+/cZa1rEpnIDx4sv/2w +D409Yj2q6Ux4+K5bbhvbB7VavSK1LCbSbL6UMl704fiGZxKbCpgwmFes0P6W +vC+8+3EeiwnHV8zcCZV9yGpZoC1LzpUPKEkxHcl+7Jp60GrN/WZ8D7h5oF2q +HwfuOunyYpsxskryy4PZ/YhwYYakvCTn1EczjosW9CM+ir1l87tmLD4+nfVJ +tR/6E/v1y2nNSFwmkb1xWz9y90WXWc1m4VOY2IlNof2QPW8buySGhXqL31zL +kX4UKI6eGXMm+8q4mY93jPYj7nVkxBZ3NtyC7qqpTBjA9IyhF3e82Kgrf9mi +MnkAhmceZ6wLYONb4E8HVckBBIesf/mF7HsflMjrqysMIFO1n/6B7ENxNHPS +WoMBmDvlfz4py8G99x2RhsED4J0e0OczOIifHvR04fkBiCefNJvK4uCTi2Ty +fxcG8Pm8KEyxjQO2pFZu1qUB7Frad8V5kAMN96DO1TcG4DT8cpcUWVd/zplp +uDiGxKO7+pW2AReTAte2j30cwJXYWUsCX5J1S++cbp5gALpfbs3oDW4B48qV +O1YBg8jz/ROcROaRsz+/eJr1DSL2yNsYc7sOVP79Sl82MAgT6c9imxw7oKz1 +zejv4CBU7hfaa7uS6w+/y2UODyLR8przDL8OKLlX5y38S54X8qf9SngHysd7 +5/XP4KNqNbqi8zqwbP3SkihVPmRvtng/XtmJQE+ldcdW8WFRQH/dodGJsliV +Z+ar+eR8XaOuvp5cn6QRMK7Jh1rrvodxm8j1Cv2lR3T5iE6acmedYydOedmf +MdjGh2HMspKh650oeXZVteUQHwqPmFaaLZ0wfmFf0ObBxyXpSyqdnZ34FL/U +qdOTj+YPRjfu93UiITn7bq8PH95hTSd+/teJS+/6RaKTfAxur92cKMWD4ffd +xZJhfBi1KHlI6PHwvkTJReoqH/YJI1//M+RBvWzwP5nrfEw/s/sB04SHBVU3 +Vsvf4sMqRXdzsCUPogbq/tIoPhxvC7gyzjy87VM5qPOKj4Pxd1JCLvKwcnBo +VDeRD9u1z4zDw3iIE3x7sDGZjwwHbb3L13m4PbLvp3EaHwZ71/0wu8eD96S7 +WhZZJP7CuAfScTxwJzuV7vjIxx7fLUHRL3lwnKrmbv2ZD/6shNcyiTyYSRY+ +cvjKBzzsfCrSeFgxd2TcuYgPu+2FkcFfeHg8ryja7TuJVzBfLvgrD3ILI7Td +S/iQuHDu55E8HiYpqh/2+sVHUTXXUqqYhzPL/ptwtIKPpRXhtOIfPAwoFcf4 +VfHR1Xhrok8pDyxVl/KTNXw86n5efr6Sh13qqz0D6/i4aLFUuYfGQ7nG74lB +9XxYW9ZHm9bwkKN9f/0FJh9S0RFm+fU8RBv+eHy9jeRv063WSg4PXd1PWo90 +8FHoNL3wcgsP+jEn1M15fFx/lqav0sZDg3BxzvRePoTXlwdt6ORB7dWQWHcf +H+8P2U57xeMhyO6nRekAH+NHXXImdJP8ZAQ03hji4/H+igWhvTx4HbBY7iPk +w7jnxs3EPh6+SC71thzh48BrVvqXfh6mZwsz1X/zoSL4fSh7gId9R8p+S47y +cSdHKiJ5kIdU+RcmvX/5uCeymR/G52G0KDD81zgfDZ0i5g4BD5Ynd9DSJgqw +55R+gdgQ6e9lyxfcFhPAJcohNYG4p3LE1VdcgOSIa8E6wzwYXChPtpoqwLvA +ufLviG+ujh/UmCaAubups4KQB2bjGT2pGQJsHjyo60+sEb7zYr+kAJ/PUWHv +ic/rriipmCXA65fpai3E5e2/pTOkBVAOvTl9jHhxVOWeu7ICTFP7IiEu4sF3 +c0LcMTkBVg4/lRgh13MHz3ZazxWgrD+pt5Z4VpyNptY8AYK0d8Q+J3a2Ujkt +s0AA/a0Sw7uJM0ZHqcGFAty+dKD5PxLvhNe0qbRFAiCoSf8qsfXepJ2ZSwRw +OiDfN06+N27q+YcRSwXIsEprPEg8kGXH8l8ugIC1tSOT9JfxIVUVuxUCuLtH +DPWQ/rwrO+6rrSJArrNVhwwxJ6/6w2xVAYY68HIp6f+1filjAjUBFi/QlVQg ++QldFGJarS7AkaOzp0wk+VsWtKr2vqYAPS2KBuE9PPivnLg4YK0A/ilmxhqk +HvJra90d1glQ+RHuOaReDmqHDs/RFcBQed6LB+1kvHN2Gwr1BFDscwzltvIw ++e7qsNqNAsxJ0JSbR+oxvoch9xACjEX+YYLFw1BM+v7ATQIsvFXarMXkYcv2 +y/G7NwuQ19m6bGYjD22v1qybt4307zqXqRdqeeS8Lh48YiZAvYHS8TnVPFyZ +1FjAMBfA760w434VD8rOV+yirQRgX3Aw3VHGw6mZ+2PPWJP+Dqp3v1LCQ3G2 +VsteW2KZ/f2JZHx6zGP6L9hF6ue9Ws1LMn4Tq7QjYp1IfewwmhT8jtT/TrpE +vLMAD1gDXUlvSH2V+V9IdRXg1+OdKz6/5uHY97c+X90FSF+ye/olMp/of12z +jXVUANXGhaOfyPyTql/xtcNPgIjEurrRm6SePvmuGzguAJd3dHzZNR7E3qUt +nXhKgCeDszLnnOehLGnV6LLzApR271l9z5MHI+VS/1UhpB6GpPpb3Ej9vPTi +aYcKMP4+ecI8Jx6inibXbrkiwD6Dn4+W2/Bw4L7KW4/b5P0NPRZFG0i9XFju +kfJUgOJj3Pp5451w+5vflBknIPtB0yf+ok5UB7nZZb8g38/a1fS6vxOfA54b +lyUIINvCdM5hdSLUe8nCvnQSz3+e4ba5nZDbvbBSixJgV1FCikFAJ65UfzHV +/yaAxeMNVRe9OzFi4/jVpECAkYHs+njXTjAto1Psvgsg7XpO+/IOsn6YyIcF +VAgwY7va7VfLO6GrMVv/M0uA49zKMeeSDgzOtFn3iSPAt3A/WsbXDqT03tb4 +2CLA1oSo86y3HVBIm748q0MAz/dbFtZGd2CC+iTJt/0CRJ4pj1T27MB31UFm +0jh53o7FU7aNtSNk2hpG4sQhhDdoDR8daIcuz4eWIDaENsOG8uPcdqQkdRbH +TyWuLpGVLm7HbRX2mzipISyud0l6daMdu1ZUXHy0ZAgSrZYp6tLtkBKfGfxw +6RD2XtW9vmgCORe0mp96sHwI92+FFHT1t0E/vtjrvsoQJsmnrFtQ0YZFy3Pt +7q4Zgj1t242yG21oVUxbcQ1DuJSScDt4rBUnFG6UBDoPQSyg8dmskhZMTqo6 +bu86BPYm2QXdWS14oD1vgdbBIRR+0M1LetGCL+avvLo8huDctOXt97MtmHSG +muHkO4SGe5pKUeotiKgR7DA5N4SVuX3PAq9xkXF7P00ydgifJHOiclQ56J2g +0fi8dggW2sz7X1c3IW6fUWYCYwhHHo7Fpw01wv6D1fXXDUM4MJDx3C27ETne +fhuymoew4tBmoYJZI27WZkT+aB+CF88rqPlAA9RTtS37hUM4KWH5aPgiA967 +9b4ayA9j4WeF/PLn1eClbXlWt3sYz4+ufTe76geUbK60na4cxtlNJZGS2a+p +kc+GfTa0YdyO9x0YepJGlS4bFqpVD0Mir0W1/MIbyn/ooASzbhgPpRQfLIh7 +S+U93LRqE2sYX+fWZobszaKcmkePTesbho7vy4zu1BzqgfeJ0egZQuw5PMl/ +k1MR5VWtJn5iphAa+T7Vn0uKKEND7kxLKSEanKOT09cXU62zbJaMyQqRbhEC +ccnvlHamhonbAiH+22xYoZb5g6oc4V1VUxVinGf0/jS3lJp2xWV2tqkQCQPC +b8OcSmrsK8c8x0yIXSNbzkXLVFFDw26hX83J/X+pzGLjKort7j5IWQnBpck2 +fHxSRX3Y6lVRuEtIzkdHV/+yoVFu4idvlHsIYTE2eebl53Rqj+FwfoUniSdp +2jq5Ejq1I+DU70ovIRwktcfnDtAp3bbTR+i+QkhM6Sn3NaimpIrObWOcEkJn +U2cIyqupnMtXxbhXhJArSJi9sqaGysyR2NhyTYjYdUfcdAU1VOLQdf/WcCGO +fZb+Fi9dS0Ucuslpvy3EDAv20pvba6kjW+5R3Q+EUNjtV+P7rpY6ECwr6nkk +RNSo8kS9slrK/n2kRl8M+Z4fPsb2rbWUsdKDJwNPhTA5eDbitGwdNXdy7Nnh +BCGkrPZMsvOooyQNFN4Jk4SwVtyHkDN11MSTT7pEKUJ4/N3cKbhRR/W0PNv7 +O12I5od/zJLT6yjuwqX3/mQIkf13xKszt45i2L34MZopxJO9u395ltdRBQXx +G8Y/CLF9x5jByu466tOfFX4TPgvxZ8yh8NBIHZWunZgwMVsIw1yLEOZkBhXv +vbJ50lchtJ7u0b4nzaBiXibPmUyR/nLFi/MLGdTdRrUd4t9IPvsU7sevYFBh +s1MvTykQgu17mjZxDYMKslidM7VICO9eO9WoDQzq2KV0gcR3IahKg8NOYFBG +h3XrO34I4XlWb23nVgY10yI/t/inED7f2lXzLBhUk4Zl/KsyIZIlD+1vtWZQ +KbK11y+XCzFNbLDezoFBnRE6+x2sFKI047/3M/cyKLMGnr0JTQgDleWTZPYz +qLm5J/SXVgvhbrqHsf8Ag2p7/nfJhFqST+ta6wFnBvU+7Ko4q04I1b96V3+6 +MKjQIzLdX+uFSLx9M7qL2GZHbOXjRlLPbdZJO4kVtVZ8OMsUQoVzt3aEPK9P +7k2sI0sIWW7X9jbyvq8juhf1OKR+DJ6pyTkyqJtN+R7zWoSwn/X05eVdDMox +z9JS1CrExvH73PW2DGplfK1WbTt5vvVfeZUdDEp01UU+q1OINqFq4O5tDKrY +u2s0sovkl+GgU2zMoO7vPMn17xGSeT/ztr8eg3LTHvtu00fyuSAgZ58Wg9KS +v5amOSCEsVPnWMhKBlXeHHu6TyDEXrlv5cFyDOpx/ooDv4aF6Kp43mUzjUF5 +J7zZnCoSIj9om67L3zpKwrdgltcfISbHhqasaKmj6mx2DJn9FaI79ubpxuo6 +KmF9Xb3KOIl39aHS70V11Oa/XfFtk0RQZ+ad2fSqjpLlnAwvnCzCVuXU2F+R +dRS7cMzv5RQRamVsK25drKPO35Td6DpdhCDdb8uSHOsoy2OPFY0lRWTf16sy +0bSOWmivPGXJLBH2iXKm3dQk9blQv6pJRoQE23n71ovVUVfGCz5kzxaBuru8 +yra7lnJo2fE4Zo4Icc8EmnG0Woqf4np4z3wRjmkMdP14Wkup61//S1cUwU6L +xjddXUv9XjS7JXOZCGOyCzczZtVSJROf/LinJIL1Jabfg/4ayqMkI3LnShHK +6eLrHqXXUM/3MFRL14jQVxm1L2VZDXXMwE0qRUuEG9+GXWP/VlNGij1D17RF +WOV5IPBjXTXV1DFOmW4Q4cHRWdbHrldTcwNVduUbiXBdbWool0unFiSV9TKM +RQjxNJg1JZNOLak/HtZvIsJ2t7iCJSF0auXGnPcK20j/1PyYoTOfTm0ct54d +uFME744/fL4RjTLWFKbcshFhypl3HmXiNGqLa6xJvJ0IWxIlaE9Kqyirgrbj +VbtFKAjK2aRmX0W5XA2qXOUiQpuOJ1u0p5I69GmJp4mbCN8UtRSfyVdSR3iF +43sOiSBk7q0MS6mg/C2k1lzxFGHmx0VBU2LLqctS8bfYx0S4GnqRP36wjEp+ ++Ms86qIIF6Tq3355+J1K/+HPfX1JhLzTGxTvDBdTmf/JB+WHieCe4a0ealNM +5exzS+6/LkKDp8nJKrEiqnyJaKp5hAiCjRPFztjmU/xExaKxFyK47ZltOqTz +mRIyivbPeSXC932Xh+W/fKT+TPMeWpUowm8f3fiJ+h+oyT5Zy/e+FmGXd2G7 +reY7Sl7TPPTdOxGql9NPuA0kUwqu/fN/ZokgNvHwyttFCZRixP237I8iBJy3 +Oige9ZJSG2pmz8wRwdL7kudl0xhKY8Xl00q5JD96XsnnCyMp7V2q0hvzRHhz +1smmyS+c0r1anmiTL8K8lNtGGy4HUQafTsCzkNRL02wxjc7o3P8BS1KYdw== + + "]]}, + Annotation[#, "Charting`Private`Tag$40796#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.4854510113214645`}, {-0.3809153079512079, + 0.811403767628975}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237674457458*^9, 3.714238002214877*^9, + 3.714238548204287*^9, 3.7142395741313543`*^9, 3.714310570543141*^9, + 3.714310623124496*^9, 3.714311017345689*^9, 3.7148082455844183`*^9, + 3.7148087394536057`*^9, 3.714808790219943*^9, 3.714809137463914*^9, { + 3.714830783818783*^9, 3.71483083339424*^9}, 3.7148308849707937`*^9, { + 3.714833119603292*^9, 3.714833137091063*^9}, {3.714833216896283*^9, + 3.71483323718008*^9}, 3.71483517815341*^9, {3.7148353817008543`*^9, + 3.7148354101922207`*^9}, {3.7148354850314198`*^9, + 3.7148354991762247`*^9}, {3.71483605782858*^9, 3.714836072392943*^9}, + 3.714836335978918*^9, 3.71483652907364*^9, {3.714837246343439*^9, + 3.714837252902101*^9}, 3.714837310164729*^9, 3.714837545315074*^9, { + 3.714837730776862*^9, 3.714837765174131*^9}, 3.714837988177272*^9, + 3.714839534940205*^9, 3.714839592912971*^9, 3.714839636267261*^9, + 3.714840035800082*^9, 3.714840758409679*^9, {3.7149932799586763`*^9, + 3.7149932935863247`*^9}, {3.715473419683815*^9, 3.715473427243525*^9}, { + 3.715473561732173*^9, 3.715473570070854*^9}, {3.7155054422217216`*^9, + 3.715505453641038*^9}, 3.7155069739344254`*^9, 3.715507042748906*^9, { + 3.715507361139063*^9, 3.7155073723309526`*^9}, 3.715507768005797*^9, + 3.715508230733574*^9, 3.715510980861267*^9, 3.7155152107933903`*^9, + 3.7155348044728603`*^9, 3.715534896389757*^9, + 3.715554865920946*^9},ExpressionUUID->"feec8822-a988-47e4-8451-\ +d6f4a893bbcd"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", "a", ",", "Nf"}], + "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}]}], "-", ".1"}], "/.", + "sol4"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], "+", ".1"}], "/.", + "sol4"}]}], "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}]}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714238448421826*^9, 3.714238450287497*^9}, { + 3.714239460624751*^9, 3.714239461804504*^9}, 3.7143093152144613`*^9, + 3.714309354244766*^9, {3.714993302034452*^9, 3.7149933093567123`*^9}, { + 3.714993362593301*^9, 3.714993363190507*^9}, {3.715473432312274*^9, + 3.7154734517597313`*^9}, {3.7154735761163282`*^9, + 3.7154735855697203`*^9}},ExpressionUUID->"bfa3c678-8025-4645-af6c-\ +b159053283a4"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJw1mnk0VV/0wBtJhiYJUZJQNKGSYlOSIZIhQkiRbxSZylAJmRuIjOGZ58wz +xzxn9sw8SYb37vMGSVJ+97fW7/fPe+uz7j737Onss/da94iFnY7llk2bNv3F +f/73P/+gyrErdkzUJSXOoo6GwNMq/JuMLRO92DvtEZc+BFr53+PF/mMirnlD +zsHQIaCoePNz3meiuv9GRP78NwSVIX1DG2ZMZFvYJb98ewgCx4+EM0yY6H6k +Ttg35SEQd6jdNXybiTgVLU8UHh2CX1W7vrbrMlFz+sOaeO4haGY1C6zWZqLZ +fn3ZTyxDEKaTez1Pk4nYVHT/xvwmwv3Pf7clqTMRf4BmQAlGBKn5G/Xh15no +x+TDJ+RvRNgkHfvKX5mJfulq6CmOEKH7BfmyuxITxeYa/qroIUJcq9zaYwVc +/4BysXttRHi8L7DU/BITtWZrtso2EOGy6YiTriwTfX7/9Ov1GiLszBCXUjnH +RGNh0ZfCKogwwny2JCvFROvOTcdEyoiQrtCSLXGaibppBVl/S4jgEsDz6JAk +E01/oP4SLSXCtQFLsT3HmSjlYIx8Ki7Pfbj4+1ZRJpIa3Ch+XUmEmf+2Ja4I +MxHm3vsZISIUFOmaLRxmIg6Ps1JWTUTw3EgUGBdgomD3uznunUS4qc4Y6eJj +IuGVHVdZBolwKFwpoo6HiX7KGAlwTBGBMvVBr2gfE11w99b9uEiEyhOkPWm7 +mYi9hUYl/CJCoPPp7ihO3D87t4zL4/69U/syOHgnE2UrqC3Y8uDxYe9Se8WK +ywterZURH4IVfUFWh21MpDLmORl9aQiaEmwbH2xmItF3su+StfH4kCtfG/xj +IOF7ZydvPxwCi/PsoP6HgWLFNkWVvBqCTZ0Z5ad/MpDHROHi++Ih6Ob57SLM +YKB3kgbWe/qHIO6eqsz+JQbSuXSaVZsxBJd//chdm2egD62arrvODwP7lfO2 +2CwDLRD/3QgzGobR4DfHSd8YaE0h5Oik5zA8ExZJbhpnIF6ZyBt1fcOg8tjx +XtkIAwUU8zUa/hsG7rL6Q1lEBmJ+fWCWLzECBZr3oj70MJBc2CWDiKARoD6P +e2fcyECCt5WzA8xGoboB09CqY6Djj6x2+USOQjCXPJtSDQO96bhi/q9vFI4n +j3mLljGQqJxH+dkbY/Cgm9eVnsVAFMp+DQ3NcVgTvPoqMZ2BVh/94ckLH4cP +to/f6KYw0LPjfpFLk+NQyVYfUhzHQKpzXQRZxwnYq2yT6RrCQFraHq1WsZOQ +Hhqed+IdA1kZvV2Xnp0E+WlUMhbIQB16hNE6ySmwfsndIO/DQN8Er2fFl0zB +v06FNqonA6ldXr5xeHUKwg7+1x3/goGioNfL7CAJUFn12OZnDNQpFLdQqUcC +Pdb56QJHPB7imx9ff0KCRf298/ftGWjZ9pDjvTck8Ey+TOV+zEA7++I9G6JI +wMO0Wm76D4/PuXrfY1kkyFYKWXOxYiDdaTdfhXISKH2o3CR+n4Fol/sMmhpI +QJycZRkxY6AzjteinraTwPbkbs5AEwaa3FPdvt5Jgi0ecvsu3WGgnu2HIo52 +kCCy/QEfRZ+Bws5EaKU1kuAU3/vDn3UYqPW1S+hN/P0ND8uPad3E5QsenqWk +k8CwZEZiQwPPH8cHZww+koC6jUsqTxVfTznz2+U5CXx0ZWXvXWOgRKnpREVD +EvAnWijsvcJARP0XVyukSJBHC1ZuUGCgK0YW0n9ZSaACpepOlxjIlbTvun3e +FIy/ndY+JstAz5+aonvXp+DpOLsBUYaBCgeT+IIGJ4FF4vxdv7MM5LVqf2fU +eBJiXc3vy57C82nvIZ0nYxPQylNsFy3GQEejd7dUdYyDqeWUs4YIA52IC1t0 +h3FYLmTzWBdioG3YULhDwRgcvmXqb8rPQL7rA8ovYkehKN7/3a4DDHSq7hA9 +gGcU1KkFYbX7GIj6y4n4KXwEXIJYCcKcDKTgkmU8kTIMHKNn0/rZ8PjWlWAd +F4YhUdwkx4cF10+8jVusZwi+NuWV/9igo0anBGXZvfj55B5DEet0pIMkOJPw +erZqsb1Z9TcdOVp0bOF9SASRTUZ9mQw6ipZeUV5rG4QKLZ9h4yU6StQfqY96 +NQg3P+dOclDoSGw17UvchUFwk9tKfjJLR6Hcpns25Q5Ar1P2VulhOkrlE58d ++NIPoTvfnBAYpCMHw7TD2LN+0Em4e2t7Hx0lyXD3HFfqh74OrvihDjqyrXCo +7Sf2wYDwUzkPREeyKe6cfpx9MNxz7mlTKh3VSlY+l0zogUgrrsjcJDoSffaJ +18m5B+6s/6iJSKCjntbbM9oaPTAqFsnxKJqO4CXhiB29G8ZerqVxvaOj/ILg +6ODCLpiURJMGznSUuXSyg3y/E+LqI7YrOdDR2CTHg1zBTjAztJc8YUdHNO+W +CJnhDiB5H3Fbt6Yjq/xZB/ebHTA96r2fYEJHn3y1qwJU2uG7v+qNxat0tHaC +Vtiv2wrk773lHnvpyP7J5d29I42w8/beB867cO4ZnHqU1ggnWnS4nnDQkU18 +9i9n50awzui3MGOho4L9hOXRvY3w/fEg+5U1Gmoj/c2t0WmAyZXhu6zfaEgs +SER2bbYO/j7k27FpioZyDGe0jlTUgcDInYLVMRrafsJzLP1dHRhXjrIsDtKQ +lOjdX4OydTD8avxLZxsNjc6qZIWE1ELvDtLm0Hwayn7adKU3rQZorkLZgbk0 +NPfPSdzFuAZ2k81ve2fRUH+912DjrhrQ+jqd6ZRCQ36Lu0qM3KqhPWRG1yCK +hqTPqIioGlRBI/9cisBrGircH+B84XQFlEpS1dK0aWjztp1O1dolEEdgkzfV +pKGzy7eu9O4tAR+eY2f2q9OQsABvVMBgMWhvMuHxvkpDIgZLCt9NimG+v+2b +6Xkaknx5HIk7FgGve4o7jwC+n5G9tnR1Afxbqn3ylZeG4FmgxvGAAvj+YPye +z34auruunl2iXwB5WvtUGVz4fh8DC8No+aAm/Jq7azOuj2LDvNrJfFgOLTdi +715CbXOq4Zt8vkCtB03RtXUJeZg+/yl16gsEW4mJzdUtoU7tm2kvR3JBRC6c +WV+0hM7Ql47clc4F/Wn7YLfoJfT65cru/cvZINyR5jD/cQktxqz60FKzgVo0 +aXj77RKS3G89OWaUDb7+N45JeS4hS4v39RNNWVByWrxmwXIJNaTN2NilZ4IX +n1mygdkSUjrtvi/rfiZobf0U2GS4hLoYHD+ww5kwR9xqQNBYQrcNMyd8YjKA +9+XUkuHZJVT90E57LC4dXDs/HWldpyI/+icujcFUiFY+oZa6QkUfq9Lj/iWl +QlVVtb0PjYo2xI6UBjimwqac70jxOxV1bXnmdXR/Kvi+lTIt76Ci3sqIPm2L +FEjf3vwmoomK5truUrIupEDbizs5zoiKAuq884c5U4Djief62UIq2iV8ziq5 +KhlCtbqiM6Op6OHO3l7a0WQoar5X7x9GReFvtkY0bSTBoMLPBat3uLxYpZPV +eBLwnha4eNSLiurj9RrZIpMgftejoZj/qOiGWvnPBt4kqPX7+8/1Pr5+5H75 +j7VE+LbxQdTwLhV5Pd2m3DORCKK0UmfuW1SE5vcd+JmSCNk927nfylLR7KPp +BkdIhC7VqEs2UlTUo6vZWiGWCEu1kvfVJKlIeuSHe8PuRJDK1y3YLkRFEeLP +nA7MEkDv+NzIDB8VZWxovbjXQwAXgtvm+n1URCTtrn5URYDyEIL2S1Yqcs3y +eFr2iQCjbOeem2ymoqwGnrw/PgRYf90aL/cHQ/+2uJT/cSSAosMSdYWKoc/i +Bq2n9QhgsejFMziPoQs3fT5bXCOAtwWPQuE3DL2G1vGbFwjQrCP/1o6IoZsP +nyoaCBJgvr2nSLMHQ77bly7a7yEA29UH4xLtGHIu+XJdiYUAJyp/bd3ZiKE/ +flODbX8S4IZ0kMR8NYZOMm/cYmMkwJOsQ7rNpRjajazENuYT4P3RArfkfAy9 +p1xsziQlQF7MtUSvLAyFZtnFso8kQN++kTbzFAxtNtLgO9KXAMtBtnSFeAwt +BadnL3YkwP5tm/gEozC8f/jd/LA5Ac57fFT8E4qhYd2rIxF1CWC4LGo9Eowh +74XD+m7VCeBmW/G+1BdD03pl2VwVCRD7XbM03BNDryiNOnqlCVBjMj3p6IYh +NdGgCvXiBJgacGLRccLQt9ExA3phArzTq0HZjzGElETvKuGsMMDqyvoQQ5nd +zzeZ4Yzp3pKyMMeQcqp3iFoR/v7+aHLVHQwFJeSYbyrB/aH7PfmALoZ+/9yD +vMoS4E/fSVOHGxgam33xr7syATJ1nh34eg1DlfZPns6hBDDqq+0RA1yen8um +tTEBdursDPSSxdCtCilwaE+A8l7dqxNnMTSuaXzle08CWN/6vH5BAkPJpJw2 +weEE4O39URwqgiEvp58nDuH+bdU+Y4cJYoj1d3zVd9z/z3pcxVUP4PJqVYP2 +eHyI3Rwxf9kw1BQZ95fISgDfm7f1DLfi9luGV3/ZR4Bz3fGchesUFDFq/FBD +iABhXVKe1ksUtJtTdbr1EgGuanlcbJinoCg1o4cZ6gRgfG1iCH6joK6sPVfV +jQhw66uhZf8ABekXBTxudyfAJs3EQ6e6KOhuQIVL+lsC5HWSh/xbKOhp/GN1 +5QQCcHW+VFeooKCES9KdBS0E6GxPPp0RT0Gq3OkFdw4ngoc6dX5rFAWlhfi9 +4b6QCBLtFxJNQyno5W4hUf+biRDY1s7N/YaCvizkGkd4JcL1Vtrvl48oiO2/ +rNfK9ERYuS5XOHKfguIDFNKLuJIgtcXbVuYuBb3R1kPDkkmwrYVnauEmBWWy +yd2Rs0mC+qbLjXrnKKhHSTRYh5YEDtd8X3w5RUGSRf3et/Ylw5Gm7vM7xSmI +bNudtXE+GTwbLTIQPwU9vlQk89AzGRQa/N+d2IS/v+rCiM7BFCivHTDc1EFG +q9ky0gefpoLoL4zXrZGMLmBX12ifUyH0JOsIs5qMzr2BequOVLCNvnhnLo+M +z4+vZM6Ip4GQU9ydrk9kJOgq0iuxkAb+YtZGsRZkpHVjs722fwb8vPuan8eE +jKJT2YXnajLAIix69L0+GUm1bn++fyUDLm/+auStSkY2vBe2XrDKBNroWeNH +p8hom2+F1ivNLDB898dYdm0R/ZL0tC68kANNjdwCBcxFxP+r2MXvWQ5I/Tk5 +LoEtIs34owfIpTnAYW1ucpi0iHxKsvaZyeVCrVKTCUvzIvpd+VuScu0LiP18 +d3cgZBHFKhxL+FSZByvGwmb2xxdRdnvJDefDhVAmFGludHQRhQ2YxYpeKwT3 +WU4LZcFFFHzAvmiXTSFssvv9gHfPIlp9LOnhX1oIbF49j2pXF5DwN+Oju3SL +QCD9pcvu1gV0+CfHhEpYMVxZHn2bZ7WAODeOWXErlMG74I9VtKR5dOJYKpX1 +WA1MGqKbBp/nEcYSdes53l+cOkb+Vv1pHvUm1pcLhNZAd/UVtqCAeWTWQSzf +tAnB7iW6/jG7eRRr9NH09CSCkFvaS3fk5tGW0Jnbf3prIYyHU7ihZw59LxXM +ImbUQ1SCr1/43x/o6sTF/H8xzbCh9jlD3XEW2bGubXjVdkFrIuFVHW0GXTjY +Xnatsh+2T4k1mGh+Q1Z7zQLYi4fhc17v3R3NJFQ6+GNqwmECtDvWOvIuTaKu +X8eYStenQTLspPLA2ijyIVsdriuaAeSX9oiXMYRcdzSoiI/MguyVY7YpaQNI ++tw2OaO/c2AttnhQN7wX7dxN4BVvWQBe9f0rW/x7UXN0bKx11wK02Sr2FLj1 +omWd0ezkwQU4UfDJZ695Lzo4G2K96/sCkC9fxXpP9KL27+92ftm0CE90Ymu0 +a3uQYUkqmfviIvxYi62PJXajqcRzfDapi7Ceaqn50asTnZp93d/sQAbdljUB +O+tOpO+45lP1nAyZc+8p6lqdyOmpg1XOSzIYilcEbeHvRKsmews8A8lQmMHV +/jS/A2E0jYsYgQyPsktVtEntyM1r87PxbjIM57Mpciq0IdWpbd6s4hQ43Re3 +a+FoG1IZNms3O0kBX4b0VCNbG3Iue7WzUIoCMtKmLz0GW5EyS+QTdXkKvC8q +qCLbtqKf6lpRl3UooFJqfLE9pgVFiz87cNKdAsVVOVJ+v5uQo9qbbTJtFLDg +KWYVmW5CBPmZ6oivFOCyrxqvbW1Cs0fHKSu9FLA+2uG7FtGEJl5wpaWNUoA/ +cH708fkmfB5pt+0jU+ClwVFvPcdG5PrVU/kGJwaqjMj+I1g9uipFimu7gcGy +RkJ6zUA98kkbw6K0MSCkpL0wrqpHobJmHyz1MFgzLBELD6pHXHN7OqnGGGSj +fvcdJ+pRky9zS9sjDPa85RJZsqpDTj9Vo2L8MCi+uWPheR1CWKDmpsJqDDyg +RSgiGCFwVjp7tg4D5dO+hsUGCBULxtdlNGIwwLWtlY7VIBMt6/WADgyv3xup +j/hrUMgztWqWEQxO3fj1wMSxCvWEtQfSGBisXCqJdVOoQl2OTrLcKxhUSzgP +RLJVISfZiHNSvzG4wc68OhhficqW/fnvbmBg004V1uqsQN981J2fsFMhXfUH +CY6Vo/f2rikvhalgL5vCa0orw+e97ZMqx6hwQfyBtkdlGXJvHTdgE6dCM+s3 +VHarDOmrCXG8OEmF780TcWdfliJzJXnzw7JUOHJt0OToUDGSW8hjuXmDCtFK +jcMsAQXoQxmvuL49FTiTHx5MMyhAC9KrGkoOVPBkYTe9LlqA+L+X3BF3ooJV +x60Zv4Z8FBgyfGbuGRWk9KewHf/y0O/vorVir6jwsXd5O8+PXKThKvynMJgK +zz9dCrrtnYveuXr7aL2jgqmx1+4IoVxEqHWlzbynwonZXQd5jXOQnK/Xk41Q +KtSvnjjD35OFuhOIv1YjqcA4fM/oUEU6cv7PffFnEhWGv6dNmRqkozGh9icK +KVSoyaA+iF9OQyX/Krpfp1IhUNrDTuh0Glq7ck70dzoVhK9H+Agnp6DDL4oF +MnOosINjku2+Ugo6GHnuRVsuFag9Iu+TJpPRUP9k6cwXKlQYFUSJ8CUj0ZiA +ih0FVLj15Guu6LtE9PlbOMZdgvtbmlvmoUQiqhDMOsBeSgXBVaPytFYCMhVp +5lvHeeH1fIP4VgL6emd/Slc5FbZIsBbo0+KQRnNU77lqKnQVhVURT8QhJTP9 +4i01uP8VhFsMLD8jxUNqdu04S+nIj98ZjUHJWeyW6rVUuOfqyGLaGIkk1TN1 +OBqoMDn6axFtiUTBAsrl2TibXPboPqIUgRxruMVVG6lgsOETOVsdjpBAnaB9 +ExUGzNleXF8PQx9VdJPXcdapf3svQy4MNfEHSPk0U0HzzacTj0tDEeGCkaVP +CxXaf/Dv6v4Zgqz6itn+4qyqGs88IxOCOirPFdu3UsGXR9t14d57JFB+5oha +GxVejxheyZl8i/q3ukzn4OwRe4/9qXEwqt3plM7ZTgUHYcfPq3oB6Lz+ZfUa +nB/PultV9fqhc0WjIrs6qGCd7nPaU8sXabOMbjfG+b7N29WrHT6o2F4MI+Bs +eupTHauqNxLVzx+dwfkOPS6wo/E1Wr31sEuokwp6RWm675U80YErcq2GOMdR +zS+merxAm+UFWoNw/ujk0HHSxQ11fNrUVY5zwJr33WK7Z4ifNDbyDedXnuFL +l/9zQhI/ksgsX6ngzJL2utHiKeoouLlVFOdB3qdikWW2yCx4SEgR51qRMI20 +LCs08VNGWR/n7DOldiVx5qg71+KxJc5nXIvEgo7qo9uFJrH2OO8W/jmls+8K +Erks1OuC87byNfn61+LwsiaL/TnOoS8Z/6T1tECB8k/DCWcHMenSP1eNob+Q +P9QG569+LqXU3PsAipsn7+L8zV3341Tlf8Dzu/i0Bs4rdmfselrtwMtL3k8a +5+0FvimkRQe4Uv35Ow/OuySd992hO0Ny88T1n7i9/Kn3X/f+eg7vVrfnd+Es +IqSzpPbPHdwWDgsl4XwqWvFu/bZX4GR7PtwBZ4HACMvP21+DYIj+bnmcj7S8 +ix3x94KspMCQLTiLbvPt38/hA3OS33kb8Piceemk9G6vHzj8VJY7h/O5Spvn +7eH+cNHZbuAHHn+5VYsvLHyBEE/Z5vwRZ2WHW4KvDr+F6InGtgk8f9S+qOpV +Jr4DTQ+Bl+44i63EN/3Z+wGGTS5e5MZZUjpi/cKnEDjUeqLxPJ6Pub17eYkG +oRBncj6sFs/Xs/bvpJ34PsIbFWebazifz3nzKC82DNxbd5xRxPNdUcxpWDwp +Asr8Tu5fw88P28CpahnnSNgiTPfUwrnPc4GgeD0KFi6xc3+up8KDUVMbQ3I0 +3NDizhevo4L/W7V/ftJxcPj5x87f+Hm+Jbdt5uP2eAiK5XU9jDP/XE1L/FA8 +WAU0aEEVFW4LRbeO4XMVgRLq8riCCvOuu0KZ9xJBiTcfeeP15EaPrc/v9kTw +q6NXuRVTIV+03WVDOgnuC4bP2hRRwa3fx5idJRn2UK9UXMbrEcfJNZGjmSng +vaDrFonXs9Ok76U6jHT4sZyfJIvXx7DzVzINjTMghsju2UegwmpwfKxpYwbQ +RIPeWiXg+XvR6PWjT5mwsyxV/sVnvB587Fb3kssGBvujfw8iqOCiUjGR7/UF +XnH7WB8KpMJY7IGeUvIXyBJfDzb2p0KCq9y06Yk88P29dzHUF8/nnoj+Bx/z +YPTgBW2aF56vHjpl9pb58Mbs6ZilOxXMiC2v/dkKgYed0/ayDRV+cO21D5Ar +hP9GJfuU/qOC7XUT00C8b006Qbtw5SFubxlNLvhrIfTI2W2TuU+FT9F8y+9D +ioBp/PvLmBEVOk1trCL4SqDDqL/9khqeT3NcGqnHy0Gwzk/oKn4/1h2+czHN +qByuf7gfmnEYr1+GSWLpQeXw2beTh12QCvptF7ZlYuWwRWbtDjqA36dZ5tU5 ++RVgbftnnMJBhTS7gtPFF6uA/cwHRxP8vuZe1eduVEMgHHvwwMcmDCSXl5xI +LxGo5uWK89ZjcI0WMLheiOBwz2xwRA0Gl5ZNO/h31QLfI99bb0oxsKWEBuu6 +1kIp6/SCQAYGXeNrXE2addBsanZTPgiDkOr2fekr9SBRN8iloYFBXOUB5fN7 +GuAs/0C6wHUMMssfODVKNEDMbu7K+SsY1Bf/GyCZN8D9rz6a9nJ4/5Ej9Ymv +owE+j9RpyR/HQC8umjcovhEoYrew7u0Y8L56JPhEtRlKrZS1pisocCrxuZSn +RTOMqEjdOVhCAeUm3+uhHs3gpFUrp51PAXv2pKclec1QQHbzy0yjQGvEWNM/ +3hZw9lizOxJGged5N568X2gBSd5DLXy2FBiePoXyAtvg7IDLOeClQJQy05zZ +2QkxLZptpffIYHTqvb3ybCcc3rw38qAJGfh5JTzD/3aC24aTsvttMkSTLeIv +nPoK/iH8l09pkCE2tG/C/f1XeDmm1GshQ4Y4Ur7RNp0u6BvgWWRlIUOih73e +/qFu2LR/c+8NvH++PbqSFGPfCxnfOZwFxxbATcO+yqlqAMZ63dY9aHMwH5Io +erJnCBwXh9wUaLPw3vW3uMXAKFSp8CcW9cyAdvQNbS3+SejhlhrMMJ+Gk6rZ +3znCSPB3QlRyJ9ckILM86a5L38CrP2VVjjwMK9MfJF61zICV54EXyucHoL3I +2+6JxixMVMZ0nYrvhhPJy9cu0n6A6oEHB9MmmyF0hH7aZOUH3Hzmk7iBmmGN +a4nv1foPGG+MmbAmNEO76wLWuGMOnDK76h4/aIZHNyfDtY/MwfMDqV5XyU2Q +tdYy+1BnDrK0NzbOrDeC5K2YN5+K5sD+M0ik4nkR5htpV14xB8vNAi/kdzXA +emX4nfHaOSiftDgyz6iHTtEPJ4W/zsGGy3jJs4p6eLzuM5gzOwe3j+6w81Kv +h9y0J8eaeOYhR5+5avikDk7/U2piPp+HTS1dt1SCEOyUDBCMfjUPD6KllTR1 +EXy/0+Os6DsPRd51W/wPIogsNhV9+3EelCdMSFHZNbDlsbufaO48JDhEq5zr +rYaBsSK1OzPzYHpsz94XIlXwvFysq0ZzAVh0L26eXy4DnbknopZ6CxCrnmQ0 +0lAGkvtLXrIbL4Bfxpe+7R/LYNpe+bSh9QLsKIng2iNVBuri9z7QvRbA62Ko ++i+HUhCIiNYRKcPXGwV0X9hUAnVOnEMBwougLnfA+rx6IUySfcT3HF8EUo/O +g7ojhbBmse4aeXoRgtoNmoN/F4DMLbJA2uVFuHS2Kms2owBST7ZZNN5ehGiJ +9ZBUzgII/uFD/Re4CCb3GCNR03mQcXcdfEMWwazr4Nvr1XnQPOAYwhm5CP9Y +mQ4Xo/Jgo95CRiBlERK2L35dvJUHDvGKbhfRIshFDXDvf/sFDA3XtzsxF0GI +bzV+wTUHnLsdDf78XoSf32a6t8vlQKgKOd1rExl489MuFaxlQ4fMqEYIJxm2 +1yo2Vb/IBoU9ZSG5YmSgItuUnMAsEGl3FFwwJsPJ6/XJ92ozQEmJ/MTeggwa +Baor1QEZYFpmUfvLmgx15imfC3QzICL11n0WFzLsF7r3z2ohHXZ6n844+oEM +YyS54J0C6UC7RJYxbSSDM1a9kR+XCqUiLNec28nQl8nb1eOUCi85j+gH95Ah +ydzDwV0jFTinbjtXjJNBga11zXktBU541Rfz/CTDOGPmGodZCjAeTTSd/EOG +LR7SG+EXU6Bcd3VQeTMFPlhI7/7CnQKqx06tOHBSIHm39MaHzmSwbI06332M +AkI3tQOFriaDZH6Ryg8JCry2Nn5+VjgZlqO6b/89i8+ZF5VvDW5OBi+b7c8k +FChgolUTOlSfBAlcT0v9blOA9Zo7V79GEjz8FdQSZ0KB8Yeh7P6nk+AUKXWo +2IICO/d6RvXvS4Lq/PFfM08ocFy/WvHMZCKM6qnKKvpRoPfaaBWHWyIQ5O+r +GrylwDn5DwreFolgLfrS8MlHXL7xJnuYRiL8+lX4PDaeArEjd//zPZwINaQu +/8IUChjgxdp6ZyL4ti1EtmdRYPaGOWHuJwG4Yw6Xr5ZSYPSyjndlFwHGveXa +dtVQwEUhLHVPFQGSbPVHRBsp0GVJ/r49kwBSCkG/9XooUGJYQ2j3I8Bv0VQ2 +WyIFalpjeWOfEaB2Vx2f9zgFWjINYjitCXBzeuVi/jwFiMdNy/vUCcDTvke9 +lUqBM91HtMXkCTBZIGk0tUyBUoGiBcEzBLD1sXDj3IzB5dgoIeYBAsg8fhEo +woqBYHhsVR8HAf7oR0ZfwufwGq4ew9tbCBAo1lXxHx8G/H01HzWWEuDW7oV2 +z8MYnNT0lan5kQC8v7eORRzDIPxQ1AhxMgFI04fIuRIYBC3v2/5pKAHS2i/+ +aTqLQaDUm4vrPQnwpFCPfeICBkx56m+2jgQ4H2t3cFkeA9fuxjbUlAB/fQIl +2JUxOKe+LHmoLgEaH6dcElbHAOObSjuG91X/tHZWVGljQH06cyiiPAEunLGT +NTDA4L3MTEZPSQLY7xkood/FID7bn9lXlACZDNlzwQ8w0PxxIi2uMAG+938u +FLXBoIrcbS+Ds2DxFqm6pxh8Zz/9Nwzn258e5hk/x+DTycLftfj6D886T628 +xO2XfMFdjr+/3fBszoc3GDgrWq2/wPffKvdJQiIYg/9cttzbjet3+eCfjKZQ +DDxOJjHscf1d1s3EzaMwyE65Y5HQnAB5E42pa/EYHI3+fS++MwEWao4fC0/F +AOYOJj/pTwDhhHdJp3Mw0IUj41xjCWDymnmkvRADIlmmxnMmAT5ZGCY8qMD9 +EXtzo5GSAN1Xqw9t1GJQoiKnP76SADuOCX+OasHAgCvEpWUzAa6w+B2U6cIg +8Wozvx8nATzmyFFdAxjstj22dpCfAMWt2rz/jWHAYkL86itGAPEg/v1x8xiM +u568NK1MAAvbVx9llzD4kfRWo0+PADGa3/f0/8TgnkyFfKwlAbh253Lt2IrP +aRc3o+oAAqjS975NZKPCceXLnTyfCfC67xm7/G4q7D8QXKqRT4DlMKUdDnhf +Vh9jcvrGOAFOuaT6cohQoXd+SImPSYCHBuzb005QYYjVUqEJP0+jfIObxy9Q +QUlzO2f15UTg/nPR00WBCpfMHz3eaZAImuNx/3Zfo0Jy/NuBiw6JUBtn/eea +DhUmPjVPKWUlwtqrr64kQyr4VXMeFGhLBOl7UqtuZlQ4euZV0NhcIqQeXV/+ +YksF8qrQdU7xJAhOf0/l88P7YOJTDt3CJGgOWLYtekuFkTMbHY+Hk2Dj0R2y +VhgVpk4EGTj9SwKHk0fnvfG+O5+98ryqZjIYFpRMY5VUEL9wQejoSjIcq5oY +qKPhfbK6R9sj51TYuevHHsoKFbK2HeCUSE0F6j2qFs9fKuwQ1TnbNJQKJawb +rY/YluDwebHTgfJpoKIrVL1PeAne/dg0ZLsvHawWLVIsdZegYnLHQ9WFDFCX +t/n2/s4SGLwQ3soingmnPjgerjBbgjCON+6ZDzNh5ZxPFJftErTQyl2zFjLB +73XK21KfJeh0kzdPXc2CdN55Z7aSJYj9ZP1L42ouBNvQCqSrliBGydFn5kMu +2NesLt2tXwKoWSmzn8oF2Qdsjwq6lkDRQILP/tUXaP1ywtR4bgl27dyd8t4y +D5ySzifd5qCBWD/Vg6ctH350VtTZ7KKBATat3fUrHwxXFEiee2lg16UVzSZW +AJfVrgtm8dJAR+MkhcOvALYtGURsiNBg21MtXwPNQgiXcw1Kl6fBnaY7pYHM +Ikj3DxfNVaTBx6LG8JzjxVBFzK8rvEqDo2vHawzNi+Gbw+KvGjUaOEx9SVXv +LoYzWcYPBvVpYCTm+TSvsATaDyrIb3lCg7OVR1SPR5TBxH9Gw6xPacDD5dwv +RiwDWqmLI6cTDSaqg+or9pfDAb0vGbxuuD1B6pcJn8rhQbAQz2lfGhRe3uEa +EF8B/9a3LBnH0SBzIbw9uqsK9mgcDrxHoAFdauaL1oFqEIm6dOxhMg2OTMoG +pppXg8Y5J2OHTBrsdVlKVvlZDZGPZ1v8S2jAa7Z69z9RBFKTLQnFXTSo2Wer +ljlQC1YoWGfXBg1MzfefOxDXAAVsXcm3t9BhUmgCE+5rgA3dXb8+b6fDyrqJ +fA5LI0TOh8RIctDBgPvMh6tPG6FtT8R3NT46BDpmHUy60QSSDwguPtJ04HN0 +Va8QbIHnud9aO87TYdRl8K6HUQs0rR49uE+ODqYWNK6xiBYwfZuKCIp08Gn/ +T/Y5dyu8L8nagTTpcHJg63OP/W3A2FES/fshHb8fm7PuXewABd1fFEUbOpBO +R4jdet0BQZ9lwf8JHbSyD+Ttbe8AEanKGR5nOoTwFo4fMu0EfeNaSRkvOlS+ +M32PffgKiSmbX7m/ocOhL8Jc/6a+AnXpSm+9Px2GV5uOc57pAl+fJudb7+nQ +zGQaXO3vgrKc9ponsXR4ZtNX5byvB7atsu8picf3Fx68aQk9oH1F8/7fRNx+ +Vw7pFZseWCB2swZn0MF82yvlvS09wL9pUDujhA6ycZd1frzphRc6U99meuiw +5zz/bsuT/RCn78DN7Mf1Pfr0+sX7/VBruF1lyxAdTm32thSN7odtZhIZQhN0 +WKzuUX7LPgCiFjWjp0l0UMbKIiVVBuC65S0OmKGDrSpKOOM1AIE2z+zuLtBh +9XinTte/Ach+spNgS8H9LyxxMgUGoevp5z73JTp06Ozgues1CHueN5yL/kmH +gkLbwNNcRJByv/0wY5UObSwb3C0GRNB7uRBZ9ocOPBcwtSvJRIj02bVO3MwA +6jt+2+zrQ1Dhl3jyxzYGZEzQ/6XED8FY4Dmzn6wMuGz8/ovn+hAcCjGu38fF +gFbnpOWHzcOgGEZlCu9hgH1c2u0m6RGwiHh9TIqbATb8+5repo5Ayuc0f21+ +BgiT2uPlo0ehOUGuwkyQASeNw9568I3BfNJX8hMhBkje6GJdjB4DyUym1ltR +Bpw3tlExjh8HrRxfz9jjDPhtdzWy7fAE2OXxFWRJMuBGCY+y3ucJKCiB/e1S +DBggLYpyB03CQHmfysg5BgiSakYv/p6En1WWz+dlGZCkuyXE0nwKeGpXM35d +wvXZvTVxFk2BbEPQGAswQIg+afKJnQRGzYc4ea4wwGpD1WVeigQebfkKx64x +4Ngr0kqjPgniOpXtZVQZ4HbHRveAEwlQ9xDhqgYDKrcpSo+8JQGp71G/jhYD +nG8cWdydRIItxL/bLG4xwN1n+Ed3IQlERj6cf6rHgENZnSJna0mgMn7U2tOA +AbjJWQatJLCeKol6b8SALWVdRx53kiDgm1pH3F0G1EheeZWAc+bs+HqOOQNe +sFYPirSRoHPe7lT1fQZEl2XLn6knAZW8xbzTigG2LrlTa6Uk2L0UHjL2HwNI +13MFajJJIMUQb1i0ZeB9HKmvMJoEuj8rl3/bMWDbqebq/f4kcFrVEmVzZIDv +0IklAUcSfPozbcDrwgCjmm+mm01IMLp5R+V5DwbE8MZekRMnwfq2GMq1V7g9 +e/cqr+D+E9xx6pC+FwMUBbOdqsanwJxL77WjPwMWsWLPPrMpmONPuJ4XxgCn +lr26/XqTsFjA854/kgFKevfNju2YBKr6W6JPDB6f9hFt8coJWHZzs7yTyABG +YMUXmyMTsGlMz3tLHgO6on26K3+OwVbHjnbbQgYoD8jujc4ZAxb2K3uHShjw +4avmy3mrMeC8dJqQVc0Ac42pMoPJUeCPYUN6HQxYO3SSC2ZGQFDakwV1MSCS +xeHGi4wREOpY0Tzeh/vnl0jl0NMREP0zM/53mAErdhkvt7KNwPGPRiLW4wxI +5yvjmR4aBkmJXpu+KQY02PgjZvowSBvXrKX+YIBCTtRUza1hOM+UubJnkQGB +I4/1nx0fBrmgrAB3jAFel88IWG4dBvmjwr2zNAYwgdflzdQQKFZG8movM0Bc +oa52oHoIruruMq/4xYDsVa93WnFDoEJ+kybyB2expmrMcwhuHHQ8/3szE9hK +wot9bgzBzcKFF/e3M+Fv4Cs7u3ND+D1p3vR1BxMkMsQ+WAoNgf4MkUOWgwly +D26GmnEOgaG7pl7iLiacFVBM0V8ngvG+xhiOfUyQfaZbDhgRTLPkZlx4mNAf +dydoP4kIFlfzT0zzMeHZHWZu1wARLMfEHDQE8f2clyMsOohg7RhXXiyEy+dM +J7Y2EMGWff9mIREmNE/GCKxWE8EuKUg1UIwJLSpqavPlRHC4tOXD8gkm7FAN +fvShlAjO/c+HTE8xQVKEp2muhAjPbZYOtZ1lwvqBpJRZ/Ln7Visr6XNMmL1u +a/m6gggvY8ZzPssyQYXl4JOCGiK8ltb9yXqZCeeFVeXtG4ng09F22QH3rv3h +kIcFuH7+9xV9xq8w4YDHjRh7XP+gPyUdKir4c8fZxMRJIrz7eHJfvhoTInfM +WSkuEiFUItnooCYTwvyrl5R+ESG8gT/xjTYTpo6eexi/fQgijUMWlnSZUFJW +yXdr/xDEMFnPGhkw4ZCtzbObokMQF/TyeaMRE9wuz3B/lB2C5Eob1qh7TIhQ +5Rf4aj4EabrftLZaMmFplPKo2GUIMsmGnx5bM4GTfr2x+e0Q5Hp3TwzZMCFQ +wMltLWUI/u/7ffj/7/f/B3GxGzg= + "]]}, + Annotation[#, "Charting`Private`Tag$37633#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.1146627403139029`, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.1146627403139029`, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.214662740313903, 1.214662740313903}, {0., + 0.9625816562601839}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, + 3.7142376591520367`*^9, {3.714237870020213*^9, 3.714237895967791*^9}, { + 3.714238448121496*^9, 3.714238456602359*^9}, 3.7142394684451733`*^9, + 3.714309360427518*^9, 3.714309402834841*^9, 3.7143096565203533`*^9, + 3.714309861928784*^9, 3.7143102830457172`*^9, 3.7143103257857637`*^9, + 3.714310775319235*^9, 3.714806815543325*^9, 3.714806849086192*^9, + 3.714807553716565*^9, 3.714807649722921*^9, {3.714808230981045*^9, + 3.714808254462695*^9}, 3.714808793742247*^9, 3.714809138986257*^9, + 3.714830785720742*^9, 3.714830886934681*^9, 3.7148331393766127`*^9, + 3.7148332410195704`*^9, 3.7148351822386923`*^9, 3.714836338517501*^9, + 3.714836531227767*^9, 3.714837257692141*^9, 3.714837313927657*^9, + 3.714837548981167*^9, {3.714837733053969*^9, 3.714837766917502*^9}, + 3.714837990449766*^9, 3.714839543879813*^9, 3.714839594809494*^9, + 3.714839638140133*^9, 3.7148400373705463`*^9, 3.714840760440144*^9, { + 3.714993310800767*^9, 3.714993323253458*^9}, 3.714993372215808*^9, { + 3.715473428892954*^9, 3.715473453995926*^9}, + 3.715473587859758*^9},ExpressionUUID->"8ef3a19f-fb76-4c9f-9b6f-\ +4672a4e3adde"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", "a", ",", + "Nf"}], "]"}], "[", "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], "-", "0.0001"}], "/.", + "sol4"}], ",", "0.0001"}], "}"}]}], "]"}]}], ")"}]}]}], + ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.71483756248528*^9, 3.714837563468934*^9}, {3.7148396198220043`*^9, + 3.71483962069382*^9}, {3.714993381843835*^9, 3.7149933950922737`*^9}, { + 3.715473459151826*^9, 3.715473461575972*^9}, {3.715473602329927*^9, + 3.715473604809793*^9}},ExpressionUUID->"c6994e22-3609-40e6-bbd3-\ +076a72ad4e94"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", "a", ",", + "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol4"}]}], "}"}], + "&"}], "/@", "func3"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.714807568353258*^9, 3.714807568561453*^9}, {3.7148331605531673`*^9, + 3.7148331610481462`*^9}, {3.714993392582136*^9, 3.714993397619061*^9}, { + 3.715473466424056*^9, 3.715473468776598*^9}, {3.715473608130603*^9, + 3.7154736082020283`*^9}},ExpressionUUID->"f483ed04-30ff-4b05-80f2-\ +5aa4286846f7"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.004583333333333334], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwUl3c8198Xx+398dn7Y1aIJGlJet8UJUUUSlIpFCmyQr7RkFKJUFaKSBJC +VMrnGEVmZJYto4zsPX6f31/vx3ncc894vs593/dbwfaSmZ0AHx+ftxAf3/+f ++5DkT/IbMgSvffji0WkcjJxiCUVwibDnaH54jwMOEnLTvcwvE4DR/BPTuoiD +WgNWFW5IGtLrtF5fd8fBMQPLhLPmOBCav99S64MDmScv/3Pjk4LB1o1V8gE4 +cGLulEj/KQHRWV1Bl27joN904ZdTszhI6CviC+7jwEd2VL99TAwG2p/aSoXj +4OL9wOkgBTHwe9F0yyoaB7PhAo5OZ0ShOtvEN+UZDjp+dm++kSMCppev608n +4+CP3SXb/0giILs40rf7DQ7qImPM7/gKg/0VQdvQbBwEqg5bqI8Igd7VNR/a +P+DgQqOSr/Z5IWjJ/DCiBjj4Gqt3KGtQEJZvyQh7f8XBEWsXqa/ugpCb9HL5 +SyUOXLJpDcWCgrC6PKWN9AMHmsLmmtQnAlDQ6vTiZAsO/nmKSGhrCkDfl83m +aR04sPxrXsGt5oeUAf3x2V4chPu8tt7nwg8FPQ1++kM4aPOP+OBH5YcuadZ8 +6DgOem02ClML+IBJ23W+fRYHj0XGFyrO88EnD/cq1RUcdEZWpjsw+OCFT7OK +l7A03EbXRu0frXCzLO75FUtKwxcx0518C8vc9dKpVXiSNJT8zdxh4LDMbWk3 +YFszpOEW8Ql5qGmJq7La7VyKrDQ88punpx1Y4h603J43uVoaHMq7hg2+LHKD +zySK71KTBrt26Yrruxa5Gl6Zp+9rSsNYb1i9auECV+TsycKWrdKw/8TvMOk9 +C1xzq1eqSjul4YBU9RX+8nmux64b8Zf3SMOlH5jPT7N57ocPbQrc/dLw2Sk0 +0619jkunJ2VLmkpDFHeTROqFOa5GcKHFUUtpUN2zTujE0izXcicdl3RCGgz6 +O50uPpzlLukGNo+dkYadjeoqRWtmuS/e/f2401Ea/sYmi+38PMMd6OTkBrtI +w+kHu6O/Wcxwb2wcq2j2lAaZzYV8xuPT3Dsm25bX+EnD4nlG/buQaa7wZq6x +2w1p8C2+zz+8fpqrusmEC3ekYU9xX0ZnzRT3tkS6qfRDaRCQslO6dnmK+3sq +TtQ6Uhq4Ozbl5tGmuH/z2rpfxUrDqXz+ZJ9Pk9yvKSq9MwnS0HjDX+7DmUnu +jaotBINX0qCglyBrJzXJffTjk114hjSsKzW3dc2d4AptvNDf/U4aolOe29Se +nuDKKU5Ean6ShtfEaQ1v6QmuzbdFD/8iHi+1yJATn8a52YqagTVl0tDNWSxz +cxrnBqts/iZbIw0zK7KZb9nj3FU/UtHFBmno+HzzCa5qjBu6SnPk8y/euQyT +PPjftTGu/ZazP3Dd0pB300psYeMY97Fh29iJAWkQtxxw9u0f5W4v32iUPiIN +R/8F35iJHeWq2s12Lk9KwxP2ndcOh0e5LBFujsmCNKQsSseXSIxyZ/9Qyp7x +46FpZHuddOA/rtHrW5xxUTy0/HhUbDY7wm3Uj87eLY2HbTVZh/ddGOHaKbc8 +iKDggeRgfrCna5i7etvXjH4WHi4q1C7Sjw1zJzu66dsV8PCNuqTyq3aIa0FP +L7unjAcVuUgpxQND3NuOL4o71PHQl0I+1F06yJUURxJam/Cgjf8tSNIf5BqU +zcYFbscDfVIs5mXxX67Ghj3+PxEe8vUk+6J2/+W2347IWr8XDyUPd0l3lvzh +9jWc2HLjIB5Q4elQ171/uO3/JHHNh/HguPuorkHFAPfbNalt6la8/MdOrbM4 +NMBtxJW/v34KD3NRRwujGvu550XePGy2x4PVEZMX4jb9XN0SduF6ZzysDdLj +Pu3r4wpH+RjdcsODsA5Bx8ylj4v9UNNs9cZD5LrwqzILvVzbryFuWv54qFP/ +pzAf2Mv1qhOiBAfiYYE2tdJF7uWWXegn99zDw6q9IFfz/Df32+owd51HePg3 +Yfcpf8NvbmP6ia3hUXgwLqlACdDDvdX/7MRwPB78rkbp+5n2cD1bMwcMkvFg +c2lfyN6ebm5BfWfLszQ8nHM3klr06Ob2H7m+cSELDwfTD/2IEO/mnlHqnTD/ +wLP1oxQIT7u4IzaWcm+5eLA95nDMXquLe8thTa7UVzyIyPvzhX/r5BbyR384 +V4mHWU5hQfipTq7hwWXVL3W8fJX3P5SNdnC5NVGSii14MKjZf2tJoYO73ifL ++loHHm4cPjnMPdLOdcy4J9fWiwf70dhtYnfauJH7nMx1hvDQ+aiit7qglfsh +LmQlahwP2avvv5Ka/sXtu60tNzfL819lfeHj+l/crU4v3x1d4emV+mxf7bmf +XBe2pG2rAAGE3rYG7X/RwrV535kkJUKA7BvDSXJdzVz3mDElXXGeffmU/n65 +Zm6o4s9eZykCvD7VurXEpomrs7y55ymeAJm90V634xu5J7SeyX0nEUDEe1Lp +QVcD97NMdgw/jQDCrMUHdasbuOWXxY5qMQnwXUpV1uR8PTduj7a5HYcAHSFU +h+X0H1wzwfZHj+UIMEDYIfdrqo4r6v+AUq5IgCfxDTKdunXcE6NdTYtrCHBP +J9dK7HYtN3rkYrvGWgIIELYPG9d+5373q1A5s44Am3/oSmZwvnPvS97Pi9Qg +wI96PcK+umruY9d9weUbCTDGTn1p5lzFdZkLfbG8mQCPtnZMuEtUcl1OLAlq +aRMgKjpuV/Krcm5khUyqww4ChARdI7bv/8Zd6rv1OBYjwHzmKRplpJR7oqK0 +slaPAA7DNVro0VeuEM5jv6gBAZYrH1612v6Fq/tZlqhrSICjMes0j/cUcysd +zRXcDhBAcfFBwfYHRdzHq1/5vjLh9YPP+jS2vZC7yveVfKcZAUS70n6O1XG5 +92/0EugWBOjrfuARpvWZe6t58IDxMQIctj3inPf4I/du7P6GW9YECHN8q3l4 +JY/b7xuS+vkkAYqfh1w96viO+yx9b9WULQH+Hh82+dicxd0xv6K73p4AI4WV +E077M7n+2XuW7M8TAAu9OlD432tuJDyXfHaBAHN/+neyLiVz1aMTzrdcIsBG +10bRb3bPuRuN6+hkNwJY9T786PzlCTfZP5920JMAvg/NjLQe3+eqXRywv+1N +gFsD78ISvdy4w0PdYkVXCaB7buN2Pbw7Rru0aWnx2v/198jxzb6P3RW037Pt +Bk8fpdf7xV88wRqP8nW4BRJ49zP/uouaz7HSz8FVGXcIcGJloEFDMhlzXPWQ +MHSPAFo++x6d6EjFYmQjUlQeEsD8jMO4RHoGFvNHIdLuEQEU6gmhSTpZWJ7d +55aESF79a9b7PInLwfo4I26dUQRINNzk0r+Yi0XpbbeTjePZOS+uxxz7gEXk +KqdbPyNAbspcxOfsfExZeIdJTCIv/4GPZy0kC7CT5xf3/UwmwCuHXWjrBsDM +q4djmKm8+bl4a+3tY4VY+PfwfcfeEKBlZwg+PqAIO8j1MInKJIDY2298N1KK +sZSnlLct2QQ4ncmc21Jdgi0qTzmz8gjQLmbaXTD+BROtjA48/pEAl8hx4bK0 +Uqw9O2gh9jNv/nZONB7bVoZlFe2qagcCrB/2Oul+7Bv2NXLfonwJAUZHe3+4 +epdjCsFyd86UEoC/fOSb+ZMKzOn9PvfkcgKs48SWrsqtxOqm9Qv+VBFgRvf1 +7o66KuxT+xMH9VoCHPrUnxQ8Uo29KC9yca0nwFbfwlWRQt8xWvOen++aCPDh +Yo62beh3rGwg/sX8TwLIWRpmv5apxXa9OPIdaydAaI2aivurWizqSs+JW10E +6KSfWPt5Ux2mHVt5sOI3Ae7qWO0K4tZhbdIPnxEHCCD1C002Gv7A7kW/sTg6 +SIAI5wlu6o8fmGbDC5f4Ed77wFuHI3yiHvNWmBrpGyPApx+DPv299Rg5U6Zu +/RQBbnjx7zt8sQFjBMSxvGYJsJRR8sdwugH7d3aijLtAAFfPPqj0a8Rsl+La +xFYIMH7ymUqbUBO2jss+ZiZAhMb0Ws+rwU3Y+fG/OrHCRCiw4Cy+JjZjZ3Lu +BPaJEYE7zyfk/LgZs5310NaUIkLZ0lw9cFqw1CB186t4IpyIi8xMed6ClYqu +/1lKIkL71/Afa5R+Yr5jk2VkGhEw+XkP7dSfWF/MisIpJhGM+NUrfqv/woK2 +VfSmcYiwiiolsPbtL8ymoZ4yL0cEOU0RfdFNrVjDiaiMvauIsPh3w0f/3FaM +LzYiN0KJCB/u2tyI3NaGHdE2UP29lggdXpsKDD+2YSRQltRSJ4J7LnYzRqcd +m47JPXZ9AxEelooP3vvUjh1gX6LVaRGhunmdkJxuByblUrVLcSsRZJkObWaf +O7CWzIOtl7cT4aiuJYTLdmKFLU59xbpEoB9TmDe16cQuVCWeou4iQnHXybiu +uE5M1cLVyGEPETTWPFm7p60Ty1U69PLDXiK8an/A8eF0Yat+5btLGRHhm5Hp ++I3jXRjfvEbOSWMifO7bscY2ugvbNqVsn21KhLWKYuupLV0Yv5pcsKg5EZpT +vt2Io3djmX0PV1kfJQL1Bl/sgnk39u30rMbb40QovRDzVyO8G5ss+Z4pcpII +rpZ83dvrurFXKhHJ1rZECLtPnuAQejCzSCBm2xFB6ubO+40HezBF8epx8fNE +WJDxkj0X3IOtXNy2//QFIgzLG5Drynowg1c+jA+XiJD/u6qRIvIb67qPtyG6 +EaHw/ve6Dbt/YwIDrmxHTyKIh+ZeUvL/jVG8OabF3kQYzw6nTH/6jd2Zu7PC +8SOCMGWj8rO539hX5mZlL38ivF/GSa3Z0otJ3HhSVnuDCAmv7ZRuXe7FNJrX +/153mwjhktubIb0XC8297BN0lwh97UeuN//txf7ltgf/vk+EqBjjm5VKfRjz +4jBjVygRzmo82hFn24ctOTMVn4YTQdvOQczoaR92zqDt5cJjHh/Bkd2NLX1Y +z63s1GMxRBi9sW4/Ru3HDD/S1N4/JYKXEMEj8FA/NuEasJaeQAQXwmWZtOB+ +7PyOi8meSbz57OXEZH7tx4ZTLRMaU4jgn/p9Tzj/AAam72W2phGhdv1eF8sd +A1hUmQTzSQYR3O5uuzzvOYBFvP4WPpfF4+dw8qnf2wFMIPZS6PFcIlgo+O3t +GhzAiLu88AUfiDDQeYK7RukPxt13HK/wmbffp9XC6NQf7Nm5yNCbQIQt8X0n +zKL/YCdtEiMHiokQZ+S/Sqf+D6Y8tih7sJQIrH+lU8LSf7HnYzJqWeVE+K92 +TiF771/skE5APr2aCBX/3Cb1Av5iMu+ef/erJUKN4Yf37z7+xcTM5h1/1xOh +5IbHB8nJv5gsSSTYqJmn7x5/pK8+iCkKIs3sX0Tg+HRG2toPYvt2rbJhd/Dm +O6FG6Gz8IEadVSXd7CbCU+XPtYbNg1irbd3B4V4i5JqY7qEQh7CvVeFEyz+8 +83neJaHYcAiLihw+UThEhMONuppHrw9hJPWjWutGiXCPILe57uMQto5yKOzx +BBGeHSwY05wYwly7D/kKzhABV4VL9VIbxsb1GkcuzfPO89b9zxLPDGP1U8eH +W5eI8CB1iZobM4wdqT3htZ+fBLe3ChzI+DGM7S+yvP9eiARVL29eD5Ecwfoq +v2goi5GATRSds9g9gl3BrT4ZKUmCRKczI8K+I9j2DyNsETwJPBqqnsVmjWDS +cgn2niQSODo2HWT/HcFGX37E+qkkyAhw2Xhd4R/W25Tz8iiTBDJv/t6tPfoP ++2OMiy/nkGBocCFM/OE/DH1DSrryJFge595SLf2HnZev1M1cRYJvGvlxm5b/ +YXVG6/pWKfPqM7woEc4axTxPt8s9USXBvW4sTGDLKPY08uSg1HoSXCnJE7A3 +HcW+InXD65ok3thNeBVcGMWmGkq0ZzeRYNXqCpxU0ChWMZz4+eI2EpztqOkw +ThzFlnfta+jV4fV70ET8dsEoppOhEXCC91YMtTuclNMyiuVubi5s0COBmXNi +ddPkKMb7hX5sbECCbJUv8aP4MWybvp1gmSEJGp4tbVxRHcM6Ag2E9Q6SIIVo +liBoMIbdONId9+kQCVwbg0SXT41h+Y55VVuPkCDdTPXqiO8YRkrfE5FtSYLp +xABmQ+QYdlRNfErjOAkM0+Nm374dw3oYN4fTbHj1/zTdeKtyDHvXuOmaqi0J +Klu3dBj3j2Hu/6JTU+xI8D38NR0vMI5RmFtclM+TgF7XMPGFM4493Rz4PfkC +Cd7SE4Pdto5jKYclK5VcSKBi822abjaObc/QP/PSjQTzw6UHsi+MYx5Z7yJV +vHjzMdD/Qv/2OHZo+pd9qg8J/qrq0mqej2Ps3dr16/4jgQTlZZ7Jp3HMKdS4 +IyOAV69AbXxp4zj2ViIuSOsWCRzWa/VuGRvH/oknf88LIgHZnPw0TnICs+QM +5u24R4KtR291LqyZwJQFRnYWhZDgc6dTkSmawEwyNtjve0SCJRXvY/FWE1iP +0eb1NZEkiPTQyP/tPoHt3PzfY4toEphXdS0qhExgZ5bvJ7THkYATkqNl+WoC +K3PpN3F4TgJb9lP3m8UT2NQ93LPRFyQ4fcqh/lXbBGYdfOORTwoJtFzSHEpn +JrDB1kpV4TQSbJNv02sjTmJ1as72DzN4fOJ0fQbVJjFV6wEDTjYJRLr6FMb1 +J7HCe0WVKbkk4DqWHhw7OYndp/vPbv5IguZXicQ/3pNYTlhSefFnEoyG0gJa +Hk1ifLV5u80KSVAuF5ZR9GYSe9+tc7arhMfnz8nMF6WT2BZa3jrXMhK4xz6P +vNbFiz+bHsdfyZtvL1OPwwuTmJjlq7ywGhJcrdY7KU+dwnA71/mu/kGC3hhF +h771U9i3hc8DuY08vb96xSftm8Ia5Xr59v/knYfBRJaN7RSmfFWlpK2NBDdD +e/7ir05h39fgtS53kSCp0FgxP2IKC/eQNxbtJcGKbUvdyYwprFXsNzVugARZ +TYell8umMPmirrtaQyTQNXHqi+iewuDb8zfl/0hA0Ui9oLw4hQ0+SPvPdoKn +X9SVrCzqNLZYend5fpoEqJrzbavGNObs9kU9fJ4EPUH5hbn7prF7zb1S65dJ +kPDk6BsN22kMH+QRW8ZPBomlxtgE32ls2Xq59YwwGRTD5p7hI6axQ34SNSti +ZPC2OFPumT6NxVqtdouVIoN07eO1zaXTWEtW4zdtAhnsLy9Ua3VNY5tC0340 +kcmAn/pRfmd+Gks11gz1pJPhQ+M+9Z/kGawobFSAxibDxcAzImvUZ7BjRzzX +5sqS4VY73t7RYAZz/WksbKlIhi0RHOvUkzPYy08ij2fXkOHUWZ3Z31dmMMvf +qh3Ra8nQHsy/nxU2g/27t69dV50M9NUDp/a/nsEW9wyHd20gA9v4wAGPkhns +xUiyYOAmMuwqucSOaZvBykBQTW0bGf6JeLflT89gpnvDJGt1yCBS7Pa8CT+L +7TnbleSFkUFFwtRzRGUWO37If152NxnUKvod+fRmsW8xy+KlBmR4yjd1H3d8 +FiNoDNVf2k+GwzTOCNV9FsswajnONCYDQaY/inl/FvtzzyK+2JQM9dql8Yzk +WezuwGT8RXMyNLVSpMncWSw7Q9+GdYwMAUKECbHmWSws5OfPr9ZkeBbdaT0/ +Oosph+nT3E+RoQYij/WLz2EKckyi4lky+M6oztQozmG+i/0V3x3IMPjgv905 +OjzbRH+vvxMZFr8fPxB+ZA7bGldyY8MlMmw77Cnn4jyHRVfMBXRdJsNOXafy +vYFzGF3RW++RJ09fj0Irdvwcdmx/0xd9HzJ8ov5t+5s3h+mZvpKa8+PxcUSn +c7/PYbdf3qS/CSBDoKfEuN+fOSxIcaXv9C0ylC9eidslMI/pL6X70u+QIWfg +pQs/ex6baFZtrLpHhh+eT6981prHej6Lz9x8SAbzyyZFHgfmee+jnvYd4WQo +vB5lpWo3jx2pMn4w9ZgMUtZ7jX/5zWPW5F7hjBgyXJjApwZFzmMnYnYanI8n +g1VTpM/GjHnMw2/SZHUiGfj3X6hsLp3H3us+W9WZTIY7gbg03855TKXqV2Fs +KhmOCPWuYc/NYxfv7lKzSifD9YT9BnnEBeyN3oVTjCwyrB2+wTykuoB5b5w5 +3fSON39bS1736i1gt0X+2/D4Axl8BNTFrxxfwBJbYystP/PmQaBaV9R9Abu2 +Z3QLs5AMrItJ5o/uLWCPENXlVwkZmFufWXOSFrB+g1dXnpaRAdZH2yR8XsAE +9Pab2laSQU/HxmFN4wJWHho5r/SdDHbxydeTRhaw01LqHkM/ePqLyHxSFF3E +hpfTCrOayLDcayUXJ7eIRa3P7fT+RYZLd//kUbYtYg4tA3W7Osjw2Fgv9M6h +RYya1/tEoocMOm3VuQvnFrGFuYNa9X1k8DP4o+UUsIgtmxQnPP1LhrMHWsnN +UYuYS09///kRMvxx7zmtl7WIDRy3Edwyzjv/R9TWppYvYjod36YEpsmw4XGt +O75nEfMgVXO/z5Eh90ivyeWFRSyFhbeNXyJD8VqHL3XkJaw0TrPtIj8FlM4Z +dm5Yt4R9K/6piQlTIHWjy+t7e5Ywn62ZpwjiFJAse6vZZ72EWSofdeyWosBs +SKOfrscS9tLA2+QdgQKX7aOiw+4vYcbVHwl3KBTwDnsZ1pu0hHH9StJPMCig +p/LcZUvBEiYau1NVi0OBbDwTu9W4hOXP1t4Ql6dAsVaEWN3IEvZ3SPlT5yoK +NGc+aOKILmOS1n9/vFemQP+Sa66d3DK2nFNcEapGgXyx+Iy0rcuY1ITNCycN +Cry0PV81ZrKMjT91sDHQosCHywzW5nPLWH7NnXmFrRQwutEf7+m/jFWoXfZe +3k4BXQmR87lPlrGRP1W/fu2kwEzq42uTmcuYUd1+xY96FGh1zhne8G0Zu4Q9 +PhhlQOHdP+c+O3UtY4fkbG2891PA3C539sXcMrZ30srcypgCI6Nhr1qJK5hC +o6bWDjMK7L7/p4WkuoKtd3s8K2tBAYpD9KO9eiuYPlE3WcCKAjq1Pp0+VitY +1YP6Hf0nKPDgoXl52uUVLOcM4XPlaQqs7/pr1XZ3BatNSFTOtuP183w0Ripx +BTs/v8sv+jxPL3/S4+35K9iPd/EF150pkC4ybu7wYwVTLnAdcnKlQGyrUnfY +4ArmG+MsauFBgWcn4hPa+fnQsochYZc3BaDVZs8Ejg/x0z+JqvtRIGst/rgo +i7f+5+oIM4AC5PJzgywlPjS6tPuL6C0KnIySm1ffyIc2iZTfmw6igFNrdzDa +yYc+HS/T77tHAeF9J5LM9vOhfcuzo40PKRDO2Gx01oIPnYqghZSFU+D3Kqnr +HrZ86IFrq3z+EwrUdF4zDrzIh67dF3mZHsur58rad5E+fGhHiKli4jMKJLbG +fUwO5EOrvvk8evKCAgmVzmdyw/jQGR208CCFZw+syfnylA9VhJ+yCkyjgOoX +47f1qXxo16aYt/9l8vQZunCyJ5cPla/N5L+SQ4HNK3zFY0V8qHHrKaPL73l6 +vb3duVLNh1zqL4Q4f+Lx6/P+hPvFhyxUn1SfBwp8yz9wnN3PhxxYSeIOJRQI +vetaqDLBh7J3WO6yK+PlE7eY4MVEpV2XPc9WUuCa2dkpPUl+1Eb+/OrsdwqI +9gpUmtD50aEnC7/s6nl6lYb7Wq/iR0Gjk7hzzRSwv+Mtdl6DHz087oKcWimQ +a4rz8tDhR6ubNrtf6qTAwt+UioC9/Gi9gnSq+28KCLQ/l3hwmB81vC/q9hmg +gJTD/m3RJ/mRaKeM3PUhCjyKGjua7MSPomP/nrw7SoGyUz0uWV78KO3DZNKj +Sd55Djl3s+AGP1opExuPm6XAueGvj8tD+NGB1ZN7Xi1SQHP/rozGGN7+kZvx +7/iocNuHXtP9kmdT7woUC1Fh3CNwYSSbH/WZ/bhYK0aFd+Zl2xa4/ChBXbO3 +U4oKu1wpwaKV/Chuwd1+jEAFBYv4aXIzj0e3y4QAlQrs39HX5H/zo+GfM/eo +TCqcstiiqj7Kj46nt2mtlaHCc6On89qL/IixOD2gq0CFmdrFSQMxAdS8jfnm +8Boq5Ph5yxyhCKDUTFaA41oqXD6rfeW0vADSCqqzu65OhfItJ8UvrRNANgUM +6xhNKvQYSDZc3SaAnqp/PftuM6/esOMdd/cIoNj7Of7ftangUOe0LuqQAHrs +XpA5pEuF1UHm8NJaAFUc5U6J61HBaEkjPvecAFof9uiQigEVcKcJVV/cBVD9 +cUbR3v1UoJaJGzf4C6DTDWpG54ypcHSrulLvPQHUIfRm6I4ZFT7k3Tk29UQA +NTX5vkyzoIKv5boh4SQBdGSN99XvVlQwxOS7aW8F0I6MwAtTNlRQyr2IqXwW +QP2rbl9hn6FC43o5se3fBFClnM1zPQcq7DDfig40CKDF9aP9jk5UWKbnD9p0 +CaCpasWD4ZeosJieJn15WABRXFprC9x4+TOl3tyaE0CHvIS8/npRIYP0szxK +WBBVYzd06Vd5+XeSLqQTBVEKR09J358KT/Bvw4tlBFGEldpG95tUoA1k7mtZ +K4hu71K1fRHE4w0S9/5tFkQuNLW8hntUSFDItRXRE0T/OOyNYqFU4Oi++i5j +LIgUowZ+6ERQYXqyuWWzlSDSqb0e5xJFhb72bdeN7QWRM/5nSHIcL//J/CqH +y4LoUWLH67bnVNBKNoWA/wSRcO+tcWoyFUJyBk/E3hVE5zbBWZNUKvhfvZKa +FymIrJauC95Np8LZpt5XPxIEkef74povWVR4HC1/ajRdEK0evlIukEcFlzhK +LS5fEG3Tip5E+VQQKE/jW1fKq2+zvIk/lwr32T/G9/8QRIFvhX5BMRUe5ri8 +duwQRKZ+elECZVT42u+8PnhQEN271XBXv5IK3tuyrqXNCCL92o+Zd75TIct1 +dWK1oBAKuTEqWVNPhbnk1NgxvBA62+YRR22hQr6+qguVI4SeYkb2J9qoUEYL +UtiuIoTE1S87JHdRIdgsJefkJiG05cDw89FeKtgnX1QPRELo5Xmg7fjL27+t +IOTNASFU6D36NWiECiVF3h0NR4VQa/SN7MZxKvjcuSG/clYImdID2tbM8NYv +f7ZY6yqEHjiM6XsuUAGTEA884ieE1m1qHy5docKhB3uz/O8IoQVLs0aWEA00 +5491vIkQQgbdx/guidHgMkGB2PpcCLUwBJxLpGjQfdzPSDJdCKn7HJNhE2nQ +v98kTOejEHrGvURyo9JgRdXrz4WvQuhxh/nBSiYNTLQbjsTXCaECvGyNkiwN +zqcYNte1CyFU+uvJdUUa2KfneIkOCiHBwsTXHUo0OPxweovujBBqWwoW26lG +A8EX/5jugsIIV/o6M06DBh/t/Ven4YXR5kx20rIWDaQ871j1soWRWPRU36lt +NDBIG+TKqQijQzlHvEp20IDNCTp6fJMwCvA3t1y7iwbflZHKEySMhn9Qg0L0 +aSDpM7Wx8YAwOvwzR2LGkAZjsnevUo8JIw7jcOdJY57/nU4xCzthNH6BJFFu +RoOU2F+/HrsKI3ka7c5mSxoMZNjM/fTjrWdet0k4zusv+aCd3F1h5Kz7XzDh +FA0OjdxbZRcpjBLkNxD9z9LA7C7/trQEYWSkXDg6eo4GrWtCkyfThZFx0HG1 +M840sCMruu3MF0a2/apFja68fCdjnt8pFUZBlta5Rp400Gj4vbnxhzAqPyEr +XuRDA7JIv9bqTmFUO/EsX/saj9/Z4Hi3IWHkd5dak3WDBsz1n66WzAojkMrY +ox5EA9+YszU0YRGk0v1c5tU9GiRUucQ4EkVQ6tiq40qhNIjtq/rNlRFBp15c +WH4RQYOd0o4ZNFURZDWQI7YmmgZhvptWLm4RQYe1tvomP6VBdqBMc5meCHp9 +S8NybSINQpNoO1ebiCAp519xb17SALtJ2hxwXAS5ivoc0kqjQYGocGGHgwgS +Fzng8jGTBr+P9PRi7iJoKuPRst47GpzpTXz53F8EufWGL1Z+oMGOuzslhO+L +IFCMcDpaQIMatzSiY5QIYtz4daC3iAa/dg8Ufk8SQcnFmc/dSmkwRxyR1c7i ++RucdBKs5NXrl78usUAE5dO0Xod/p0F+isk/6QoRtPePt61yAw2Ej712vNok +gmwUb4Tlt9AgbeB7wmCPCPqvKX6HaTsNNjmVxFiPiqC6OkXbgW4arE8MPlaz +KII8I08JBfTT4BF1feducVGUfDJjNXuIBiPUd1ofqaKIT9WhJHeUBmXf1I5u +VBRFv7O6fh+e4vHH4k3T1ouilKs+t8fnePWek12toiOKROsevAlbpsE17Y8/ +kvaKIr9vfkc3CdJBJObW2TVHRFHJvpQ7TaJ0qLgT8TP5lCiSF3PVuypFB1Em +/3ZVZ1H0J2LHTUUiHaz8uwIzvEURy8r1UDmVDnLyZl+2BIqisiivFDcWHRwj +Xea4YaKo3OfDfVk5OkwUWCsbxYui7aKJ/BWr6PDwy7bDza95+zUThL1V6JC2 +aW2Aw3tRJNGoFKOiToejk0fezZaIormihOIWTTp8semdCK4VRQ15d/zvbaFD +30GRXQrtouiMk+kPpEOHnXJ9z97/FUX/Hrh+nsbokAvv6GYzomhz3RmUvocO +TZ9SXg0LiiHD/sQTDoZ0wAynrIIJYsgpMIOmaEwHmyP1GmoyYmjKVcS53YxX +742AdVVrxZC9j6ptrCUdZk10zF23iCG76/Ezx63pkCy0O52+WwzlXx9cL3Oa +DpV1rTpgIob8H0SKd9rRoaHJRMDJWgzJNaneeeFIB88NfcKM82K874dNGY6X +6NA6P7S/1EMMNUfo+W10p0PYxZyGK9fFkM+63smFK3RY3xySui5EDEUYZtBL +/ejQ8rGhqjtGDNVPbe5/dJ0OQmUdu2NSxFCdK8HO9jYdtsxJEC3eiaGQ7c1h +G+/x+o3I0yYX8dZxay8LhdKhXc+wqK5aDL0ZeSbUHMGLj1POCP8lhnCqnUZv +ounQ75EvdGxADO08fsfwZjwdCDfcS+WmxNBdl10r1i/owP+leGGAXxyNZWRc +3PqKDlxn2eQcaXFUku8XRU6ng/KhpfLrbHF07bFlwFgWHfRmWi8eVhFH19MG +lWvz6EDM1o1U2iyOeqv/Psj6RIf5p4n6i7vE0WU9sfcRhTz9syID6o15Nnfu +hc9XOnyuTTDOOC6O2ry8LE9X0GFfi+Xbe+fE0RJ7R63hdzqEJhimX/AQR8sd +QpRNDXQolyfsN7kujor9QxXkf/J4nN57Z1OIOFpj+GIB10EH88QQF06sOGLS +BV4s9fDi29wXEn0ljmRPX+b8G6DDYdM/hpPvxJGfDte+e5gOWlGH9H8XiaPg +E+9uNo3TQTbNfaGxRhy5KK++Uj1Dh0lfSdfKVnG0+WWbXukiHZZ9a1JL/oij +xKe5fYX8DHBJu/aGOy2OMoIC7QpEGHDrdYffZ0EJtCNeufCTJAPyvubJFxAk +UEmn58InAgM8BBqiC2UkkATtCI1LZcCHLeJjpaoSiND8nFzMYsC8qJpK7VYJ +1BWhP1UmxwBZHE2/bY8Eehit/Pn7agbc/556YMhUAsmTtZx/rmXA0+7q3cs2 +EiidYiHat54BbX8vaJAvSKAnCQH3J7QYkJXjTlHzlkDWOa/4BbUZcG/3rxn9 +QAm0f8cXO8pOBmxsi24/80gC3VevzlfezQA9VnbVzWcS6PH1QmHdfQy4s6BS +nvJGAj3dHa9/5CAD9k6JtNR8lEDC9x39nM0YIM5/YmWuVAItRKzNCLJkQNJL +pKfcIIEU83pbk6wZcFChKtmyWwLpu74W+3Ka52++amPwPwlEdr+7qc+eAbkT +5/8ULkogoaQIW/ELDBgPrKpdEJdEmko94etdGaB/zX90G10SnT5xr8rckwGi +Bvn7vVdLIpmFN9LXfBlw1/RT7ydNSVTAf84q1Z8Bm7aWfRXEJNGryrasplsM +uJq7duLgAUkUQ9/CEg1mgPMPTZeYY5JIWiQmbNtDBvzq2Lp7yF4Shalul70Q +wYCu8ChX5C6JvB/s4T6PZvDu73y+JwGSiPVhxKslngGnt4hOjz+QRCN5LvvJ +SQyIVv1nYRoriSbXiGibpDLgHd+gSvYrSVSjNaJ/P4Onr5u3KyNPEnllOLlV +5TBgm6z8loASSWQs9aUY/5EBip5OV4drJZGp0x7tI1wGBEyMGJ7okERKiVsb +o0sYUMXWf/F9SBLZ7BuN7fnGgIfh+NC985Ko711xyPoaBuzZMkMtEpVCblTJ +t771DBhWTtuGqFJoymGVYEULAyqGe5cLFaWQ5QPnIE4HA1p9z1zcu0EKkcyM +d7v8ZsA548F733WlkObF9Vu+/mGA7TWjUyeMpBDfE58zsv8YwG45NjJ8VApt +D0qsujLJAP7BiR3X7aUQVUjWq2GOAcryK6Ysdynk2Wdru2mFAe8bz2nlBkgh +o7X/QiOEmCDurtRvHiKFCkd2i82JM4F6ZbPbXKwUWh3cV2qDZ8Lv6Ji2Z6lS +SPbBqR9fKUw49dN+3YH3UqixElPXZDEhKPaN3cIXKbTbidYcJ8eEN7kPQtJ/ +SKHEPp9GqTVMUAzRzLTrkkI6cmJq/6kywXzr1yr5f1Io0vZE85gGE/b73Rrp +WJRCuR6yXQ6bmfCe7y0jUQKH3sRP7O3czoRWi0dmjgwcWsy+gz+OmOBO80/Y +rIRDKjJh25v1maAz/UNaeBMOpfcXVVga8ervnYxr3oVD2ZWNX1oOMeE/JTOL +TBMcktK9r2ZjwYRLZ87uvHcCh/67kLry+zgTDle+sb7ghEOt1jN7Lp5mQvWG +j3mHvHHo4p9dy3P2PD40OQvt2zh0pc56fdAFJuxt9N2pFIFDY2VyzYzLTBj4 +4O1FT8ShrT4Oy6+9mBAtVSmKe4tDfTHUF7v8mBC8b8O0CBeHRGcJlS3XmWAo +e9FQuAqHdnnre7sHMUEhxlJM7BcOMba+SCc+YMIDw2/a+D845H591aW3j5i8 +753U36wZHNo2XvD5cBQTbC2H8GrC0ojp4hU3+5QJHM69IowsjXz0DxOfvWBC +ATtU8JiCNPJTseHsT2WCfDfup6eGNDpu+KpwOoMJG1XlD0bpSqMnJ42Ekt8x +Yce/0TNgJI3S8k71W+Yz4XFYzpqhY9IoD0lelCpkQtV8ahTnnDQ6E305pvgr +EzZlyZWaekqjCsWSy36VPF78ju+Cb0qjbiGtGe063rywhp3Kw6TRc4NZtbkm +JrRpMMZxz6XRhyYzSn4bExKj7U0sMqSR3rPb2dd6mGA/dTI48bM08g3pktr7 +hwl/9zx5M1UhjTiv364i/mPCC1bm5wM/ef3Jmiy0TTKhP/NIccqANOoxpD9+ +M88EEwL6Kj4jja7VOc9f42PBFy3t6kvCeDT49pOKuQgLtNUpPT/JeGRm4L5G +XYoFq/dmSRkp4lGMreSkKIkFD1UFDsMGPBI/ufK4l84CBSG+gu0YHnmurad8 +lWGBVso7848H8SjOgnLx1SoW+H/YrohZ49GXjaYvQ9ayoLg6R+2bIx5t+aFY +ckWDBV5Rlj5HvXn+yiplZzezQAlnRxu+jUdZkqJ5h3VYQL+tLnY7Eo+Mj10I +19/FApkF/FGlJDzSn5c8u30vCwakfaQrsvFIeOHZ2o0HWeB9aEDLowiPBOKG +B9YdZkHX8b7vq2vxKOV8fpLqMRYc58ePtHTgka3+rzNqJ1mg7y4VHj6CRx+v +r1HWsGOBk8uTiiNLeHRs2ntisxMLmrULjHEiBHRcAioxVxawB/eJu+EI6E1d +X+4BLxbcFuqK+kUhIH2F3nfWfjw+VoLCezkEVBD9oerSDRaozm4yebeKgDQr +HAUC77Bgg7agn5IaASEd0aPxISy42iz4KHojAT25lVSXH8ECS0pDBHE7AV27 +cNbzVwwL5t7L3A3eRUASo457l5+zIHDPfXcxQwKaOzNguDqFBfMzv44FHSKg +oEDK9YPpLPCYLN8peZSAjB5rTHrnsGCz2WqV0JMEhLt4/cWrjyyQ1c1nsRwI +6FGYzeNWYIGo5AV28kUCkj0iW0sqZUG8JUdjsycBRXettjhQxYJZ+XyrUj8C +UrRtV73zgwVt7SjR+haPBw4Of2thQe/zDNzUPQLq3rOvQaqTBUvq5PiH4QTk +/mY5+3AfCxzJAdYasQTUsc99Mm6IBXLfGUa1iQTUErI7ZnCcBUUDgi6erwko +4R7hzY45Hm9xz++y2QT0eCpofegKCypk37iWfySgvH1nV/8RZkPylbGj3kUE +lN535tEeKTbc7I0IVisnoI0ah/0TSWwoq52R7qolIGqc6Kgwkw3aDtcGoloI +aLb7VL+THBuep8fLWHTx6hczdGpYwwa/143Z1D8EpH07x19vHRtK/N9kNo/y +Dsn5hHXZG9lQF/KeGT9LQNXnOO7K2mxYF/148hwfEQVIbLWOx9gw2jVlsEWM +iIILiX9ZBmxIOnSXJkogojdSTYrRB9igFk4//4tORB2RnyRlDrNB2ODCnmw5 +Iiq3FExNPMaGKdyZ9AfKRHQnZ0Zg/Sk2OJR2pzlrEJHP8zH2J3s2vE1o1z+0 +lYimio/MH3RmQ6CxxbUtGBHFhD9M7HFjw0e2xUn5vUR0+bq8jJ8PG9zWzAzi +TIhImnbvAiuADXj3k2orFkSURnV4nH+bDUSVolWTNkR045Vp4qkHbFhOOPlr +yJ6I8vxnI8Qj2LAp/dbRPxeJaGCa4pEbwwbT5yHP/3gS0YbtzgYOCWxQDe37 +NPwfEVW41uM5r3jxrvC/nQokIo1e1ab6DDZ0nra7yR9CRIWrbBJCc3n8wpJ0 +iY+JaLf6eS+zz2wIzT/TszqeiKqjj1jTS9jwSO7Q1R0viWhN2RbLznI2uH9Z +iz+aQUTLS1oX39SywS6pIMErj4hGYv97+V8zG641D+rGcIno9j5L8SMdbBj+ +EtdfVEpEsWRctHofGw6bf08eqSEi/Julk5LDbBBSCLku20xElPsRp4cn2GCf +NBVg1klEbqsOJf2YZ4O6m0ba3QEiQiLvNQv4OfDE/opY6SgROSs44N6IceBW +I+ep6BwRSfSLYM/wHIio8nY/wE9C2/0PVT2mcWBaZyksQpyEJFekuI9kODCr +qcTfQyShvw+p7PDVHDCj3vq6iUVC028PDzxR48Vvzv97V5GEVp8uVE/YyIEj +m//z6FUlIYb5+fEMbQ5o94de3KNFQkOaDrpFiANSPdVtL3VIqJfbT23ZywHd +KLkK/B4Sequ49sakMQd+rQ3YefUACTUSfe9RLDjQniqIho+Q0BIR09Y+wQG7 +U+VNtidIaCZ94KHtWQ6s55OSbrMjoa7cpeiHTjz/f6TB4xdJaMWDdrL4MgdK +gnS9OjxJaHSi7fe8Nwcijy1/dLhGQuc1SZu2BnDA6nxrweRtEjJ1uHnkShAv +3n9uwYEPSeiFAdO4IITH57T7WpkoEvLT/qYi/pgDl9cmPX//nIRYSc+Gjj7l +wKZrXYtHU0lIRR2ev0nigPQAa89yFgnVzVgfEn3DgXWkY/4p+SR0YgL47HM4 +cEX+40fLEhLy5xjlf8vn8Zy8vChZRUKaXy8FbSzmgEhAjfGXBhLy7X7v8qyc +A2fpWvk32kko8cDXq+Q6DsAHhtHefhKKoBi/C27hgOkFshhhlIQOV3BWiXfx +8t2tXmibJSFCLbUmeIADLizpDW/5ycj0hVYReZQD39dkpN+RIKNrG4OEn89w +IJOQEuBAJiMpVd0ErRUOKE2IZe/nkJHhwfDnFSIy8HNq4YDWGjL6WdovdV5a +BqivvxxTWE9GD26mDkvSZGDz5S89lK1kpH7r3MEcGRlI/uExhUNklKZTutl2 +jQw0/b4QJWVIRvK9tzKp6jIw+Mr6J8GMjJZ7/UqrN8lA+FXeb9VxMtqoknjz +/g4ZGLh01Ub1LBlV+wiNm+6RAUJBfB7mTEbbJiqYnAMyYKuW2GLlSUb+hzCR +ocMyoONbXuN7jYxWTkJh4XEZ2NDklZQQREbEs1UWcWdkwG73OvuaUDIKusr/ +/T8nGfiLD5IRiCEjMSJ1m72bDHzeb9S0/QUZ7dJtjzrsKwMB2y3ivd+Q0SbM +lG/vDRk49+NVQEEuGdn1+3uiYBkY1jp3VxzIiCIZL4oeyYCLQsMXq29kxJ1d +LNCPkYG1Ny1QVh0Z7RmRTDFNlIGVf+4ihFYyooWdqD7zWgb2K7audu8lo3jn +F7pXs2WAc/d4SvsIGbU45vDH5MvAqtq+OJNZMnp8+IYSFPN4OkSSSvkpyOXw +2veDFTLwkJRC1pekILmrXUUy9TIw5Hst/RuFgqwPSBy2aJWBA1+TR4/IUpCh +tpJHxG8ZUFes6e9TpqA921s3/xqSAe/ztc+vaVJQieXsc+UpHu8P6evkdCgo +bMeFrz5LMjBFDo38soeCGOUmmfXCsmC1XDF82ZiCUEbXhc3SspCr3IaUj1JQ +uECQeBxNFtZRnZ92n6YgSsf3R5JyslBWakJNcqIgHSE3ZoCyLKRdupVz0YOC +tnobpyxpyMIjjk4wdo0XX8vZOGCbLCR6VKTQ71DQfwWCLKldsnDShcuZCaOg +9iFX5lNDWXAk1Ey3xVLQjpu7j281k4VfSt0GlckU1D+xYaTJShZEmUSZokwK +ipKU77p2hpc/JekO9yMFZeWu3q1xQRbuFbDjSkooyDc/YFWfuyycxhTP1VZT +UJ7fq9AXfrKQ1B6z0NtMQWNfdsY5BspC0Wz8OYEeChK/R7XYFiIL2W6+oDRM +QV5ftSpxT2RhLOYt5fAMBX3VrcMPPpOFfaQlz9v8VKR89oTm91eyYJFzaK5Y +koq6NT13fc6ShZ8Pmt+I0ahoVnjiUFa+LGTWzyeby1NRfXCnS0aJLLxsPDqT +qkpF3KTrWTlVskAX//5WbDMVUazNlYsaZeG4mO+fixgVJdfiupo6eP08z3rb +ZkhFKboxY1MDsuAwIC1rfoSK7P8qO3HGeesHzuk12FDRoDbrlNGCLHDeNW+0 +OU9FnRnUnutCcvAs5ZPgqBsVZfMvihTj5GDBNefb3f+o6OC6kXZJuhzEmidF +rb9DRc0hB/87IS8HxSUfg349oqK/xM+zeWvloDHWIS30KRVtMVC0ZWvJQbCz +A8v0FRU5xCVX394hB/5F3AFmDhVJxLw3W9KXAyufQvWhAipyJOEEr5rIQais +BF/ZNyoKdHw2KXhMDtz23fJ8U09FpD95OyJs5YCEu5gS20FFtsI9oxoX5GDC ++dCbiL9UVFa0qFTvIQcOzRJxT6aoqI+kPhVwTQ6cX9aEJPHR0GX011X7jhxU +vFV6+kmShgpOz2fPh8mBTfdIZxuNhjzq3eu+xMpBctNJV3FFGpoqLP4dnSwH +4fclz2PqNJSbliTgkykHBGJn17VtNEQT1dhz5qMcVKG10+W7acj7R0WhRYkc +fHsYBvImNGRlsiv8SLUc7OpTsQ6woqHh5Ix662Y5KHSx/j1kR0Mvcx7FXuqW +g6MRAh5nXGmorLxM+P4Qj/+ApWrvVRqavX1X9d20HMyvE1C4HERDf47nk9z5 +5HmXBMlTIpyG9seXij0SlocPoyJ70+NpCMRkb+VJyMNcZtXbE69pyCsuOaIL +Lw+uBl/rGXk0NOrx3z4iVR7UD5dUdxTRkEHV7GsDljyUVRO5WdU0JE9/Vh0g +Jw9j512/hP6koUHOVm7RanmY4VcQ8OujoRGFj/fEVeUhW741wn2chlbhTxlY +aMjD2bD251eWaehpcsxCyiZ5aBLp33tHgo7eFXA+8W+XB9w37dRkGh3du1X7 ++BQmD8M3Ewe/K9LRQGX/0y975IGhcFVDTIOObtlUd23YLw8H3ryKOqBDR5+O +bXFNMOH1ezrR+OleOlKKptiwzOWBmuPutnSYjiKVEz88sZKHMzdB3fEUHR3M +tI2QOSUPFkdLEn9foKMpKY7gKzt5SM89vnjBm4721nRRdJzk4UqI4EnBQDry +/UVs++EiD6u+tk28DKOjTCnLi26e8jBYmdNjFU9H7N7UX8yrPH4nViw5aXQ0 +bGi5rTRAHswMf/sMvaejHKPZx7635cHr3E6vii90pLLgJ731vjwwE59d+VBH +R1eM1mfOhcmDO83qdW4HHf3gfxla/EQeso757CgeoiPL7I7S8KfycKqn4VjH +HB2xatXOOb+QB+87EhslRRkooXhH0MFUHk+1m5MGFAZ6TV29c3Mmz98joDZM +gYEUMsyfrc7lxatizI+sZ6DT8qlf2J/koeis7rPjOxjo6sqpL6wieVBwLJlu +NmSgEItVeQpl8pDn7KjpYMlAHatFsjdUy0NGd/NNETsG2j5xr3ZvvTw8qH+t +lHeZgQZ909QcfspDdaHXQW9/BjrrUPXzQac8zKbUbDj4gIG0ZWtmC/rk4Zee +kbhWLANJv5V4NjMkD13O9wlqqQzk2mQ+uG1CHloq9gdsfs9A4SIi09fn5OFR ++KHHZl8ZKPrZxK+GFXkQTgwOuV7PQEjX74OmiAL8ysGnfOnm9YMLfh0ppQBW +f2TlOWMMVHgsrEaIrABPr2puC1xhoEeyUbuvMhVAs2hJU0iaiZJLtJWW5BTg +/mn/Q5EcJnKYS468raQAH5qFmneoMdFockYOW10BjHavl57VZqKbuOJnH7QU +QOkS3/ayfUxkvzLpe3q7AlzT+ZP4xpKJVHcJnCPvUoCZ/eURKfZMNCJtfrtm +rwKkCwse/+DBRKu/iS9FGCsAccYHdd5kIpNvE0P25grgfi0tXCaciRxPJ/jq +WSuA22DGS9dEJtosal+tckYBnPsMKlqzmEj2jbkky1EBnKwGzE4WMZGQ0ZFj +NFcF2JJd+WiulokePKF1ylxRgCcR879fdzFRxIJK2YZrCtAgciTec4yXL21q +u0mgAjwgvZCx4mfxvn8rbL3vK4BjX9onCyILHbTqdswIVwCa95ZfFxRYaJOx +/bWxGAW49E7mZ6wmC9Xb+1RhiTx+W89y+nex0No1ejeiUxVAOQ6JHjBjofSM +gRr+LAWw89QQqLRloc0fUno8PvD4Ngp5ObixUFZ2/b9pUID6h8u1sjdZaNSs +Q+lWmQIEqjQFjIezkMaZs5/kvyvAer+Wme4kFsqY1uz91qQAa7dNvRzNZaEn +I6ZN/h0KkCFWL8YpY6HuHnK5fr8CfPnw75FdCwsFu9OnGf8U4LDiqy9Vf1nI +dc4iYn5aAbpETsmYL7LQUOrGnr/LCmA8ESyziGMj/W1XOX9FFMGc0mhULMdG +Pc3Xr81KK4K1wibN15psRGmVO0CjK4LjeSGrnN1sFF1QXLxbThGOiapZdJiz +0ZHKG2sDlBUh2mzDh3Xn2IhjrlJUraEIO5+eYsX5sJHRVZ36ddsU4cmhYYrm +fTZCrxkpMUgRnl/E7/sTz0aV6Yu32YaKEJCoZvk1i42od2iQZqoI7J6ZP2Vf +2KiGL+qpiZUisD4kpI01s1HSbKWb0BlFCLRYNNk1xEZ/n6wOq3BSBHf/53fe +r7DRaksT4yR3RXhxSYVylMxBDwaMV0L9FIGv1CRDXpmDAlXvL4cGKsLxbA15 +sg4HFRImXiaF8OLbOGtuMOHw7hs+q6onivC76n8N1Gkg1gkewHGmCGEmuw3G +c/yf//Eczod1H82vB0WD0miEJ497MLGMO1YzdsWE2GoNRZN60qGMe580m99Q +K8c086ScmcGqGEeSVSKml58335ffhMb0cBawbZ6maF4g0VhamTWXxgLd8nOy +wBoSe54UxhQXsmD3pFY2NpFIDHsfklWxwMrvfSfn2yQ2hMp3BrewoKqlftP9 +ThI33/TZUtTDgse+Dh6pShLtVbyrZ8dYsOfzfVk2IyR215lyspffOUagr/2E +xCNz/qkSbTbkbpSfejNPYteL6NuOJBveXz6QoLpCovPY17rR9myos90s5m2i +UNPqal6PDxvYc0kBgToUdrFM/KIi2VC60pl2Q59CqYPKFYcsNrQPVn9kRFKY +es/hx12n2HBHFNd/0ZRCo4WkqRPX2GC7HubmYUeh6JBP4p/a2bDBLL2nKaFQ +RTHT+miIDY5XZpqfelFYEpAuHnjxrnehQX3Cn8LLDxWehlocUOk9KV8NozCp +53xBJckBv8E1N+t4Cl1aF/MjnThQqtV3sTCDwpte0xNf+nHgH46Kv6vlUvhg +7XfPzjgOfF8dXvtdCYXV9R7ZEXkcaJ9eWQqqoHDEXsPXq4oDsWlfiJ2uUCjL +uiX/6hYHlJpDO3c0UVgTExm/qZ8D3inrelFIobo8rqV/gQNRIfLSxl4Kf+PI +y9e2cmEi1rBLMERh7dyBPWkCLlQGNtZ1PKHwP5eSt3m6ciF36WBw/iKFGiPK +vckyLgzabJ9P3aCwIzDh6GomF6Kbm/JKtGk02DxnPV7GBVI9XtZvSGOrmSpP +2MIFg62lLZ4CGn+dIPT6+rhQ4x76eMaaRv0Au+XJF1yI+bjR/LaExutCSbxY +g4Bl37cfte+j8ae6+6tyfQJCLcy5K8E0fmvX87OvgICJxsbuiDga57OMr9nb +ETDWVNKmnkWjPV8zJGg3AXF1+Y1jx2l0ydMYveVPQEdqeOJSOY2BZ+7S0mgC +LjKfDLtepfGzt/F+OzIIyPlg97NfFDS+UvubPOI4AQ++7r9WeY/G344UxyrP +EpBbVrv/+iCNMY+SjfJuEJA+e060MUWjT4bMO7+NgM0GVeVlKzRmj3i3DigJ +8OjWN8/UYrDfokaSPklAW6Wk9KoRg1++MV84/IoAr3Ozl/lmDA7Uvrei0OJB +u7U07P87GHxZZNMh4/Dg+fbCFwa+DM6r5U9FWPEgY6K5/nQ4gyLHcsfeXTxI +CLH/y+FUBnuUOZ3lQTxYqprccfEbBoPWFn5VJvBgyKht2KWSQS3Ff/UzjvFg +vsp1L9Qz2NQf8tnpCh6cLHIx+/4ug3PGRX3CRh6sa3r4FQ8zeLfFh3bu5r37 +s86bJ88ZPDhQIHk4zoPplrAGhRof++zulb5a4YF68cF0HRYfFW56m27okRBo +maj43YqPRQP7n6+akIBHWVL/PXw8ttfWf9adhJiNxv7AMD72yheGjoWQ0Dlk +af32CB9rSox7H2aScEJvVrT7NB+NfFK8xr4lYc6pRiSp5eP9lObApiYSfrma +m/b6Hh+j3mi/lD4gwcRwXZIyyUe3s9OmzxZI8DNSuXNHRYBq06qy0A8oKHqa +Kl1iC/BmsIPniJiCXdlRbXrOAjTU/849aj8FwU7VHHGQADku6jnbUyhgu10I +Cc4UoO2Ugdt6GQXXz0/K6isEqHRwd7S/TcGoZaXtx20C/NfRgsejkxRE162W +Ef8TILtj27i2Dg3ktbc7EzWEyLge73pqS0NJ2+dp+yyEOGWjU/LPMBrWYw1r +xv2FKLW3yLIvoeHRD/M7vXOEuGWGY6qDNPT7WRb8WCvEpcPKcY9FGlIaTrxK +GhViUPtBY3MBA4uXbOQXdEVoNRO4riVjoMVS1b9UIsIHzt15TmcYqD0w9udL +GSJcePm612yIgbybPidsmkQoOik8H8Xig8LjcmvHogiLXc0j8iP40CXaJXpm +Y4zl7Wr50gY+7N/qPhKU/c4jYmZcXQClE3Eruj8Z41dpacShcAFM1adWWlIm +WCbqnc/uEoBz591vDuSY4Gt3blGRkxAiPywcPTNrgtSKun/rD0JwTPx36lqE +KdZ9uhzS4CuCcufMswPPTTHUcrKgWdUYfAJ0kxZOmeFfMz5dnRo0hp9lTsMV +UnO0ucWRbJs3AYFKspIls0DdgOy2T5LN4NLWD2tPRorxzn3vLwK2iKE79vy5 +9ApL/AMA6YOT + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwV13c8lW8UAHB732Vcd5RVSQNZWclNGamUFEIyMqPISpFSyEgUKRpWRElR +KuI9IhUV+qlUQiiFUhnJur9z//L5ft7Xee973vOc5zzKHge2ewnw8fEd4+fj +4/0dX1IYn5THhp4BrfN0RxIUbVZs0rnMhsdC84YktGNItvCnC2xIsLfkk0FL +ZMuZx2ewweqxUhkDXQtpJzXT8Pq1i+co6KBBycbOZDY89BLSl0OrkBMEYxPY +4HL+ezML3aErsH7FCTaEBidP0tDxztGxHUfZ4NQndEIebRA7VR99mA2/FlFm +FqCHr4fwLw1nw3+dfl6y6CutPzltwWwYEX7awURvm/Q7FhnIhr4ZI21FtMDC +L4SKHxvy76b08t7n7no3bsteNhAJSQa8eN7+H9eGueH9B/uildHMdPujCi5s +6F8e5M2L9+J+e+1TBzZIFATkK6CPdm+eC7JjQ5GsZ+si9CrhZ2tYW9HBJ4bV +0H0r1kc1WLNBqr5wIS9exva6mgALNgx+cNZRRVtGGs7ImbEhK4BfbwV6+upd +I8KEDV4vpfN48W42aR72NWRDrs/FK7x4rj9KH9L02MB3SzVFHU2VVf1XvYoN +F9Vd9XjxHhvlGexdyYZ/HJmFvHhh7gsOkdTYUHs94bcmWu1U1v2qRWzoHh1p +58X7cEv67x5FNrTEShTw4qW8Ob1anM2GuFnlvdrotbNi4RV0NpR9ORvNi/dL +5eQ9Z2n8vnN6RqvQ+Ru540JkNtgvMR/URe8IOqx7S5wNTDNitQZaNGsixEGY +Dd6Nyz/y4lXXBlXy8bNh36bTwfrogIHhPyWzLHDRaZ7kxVOQ9NG2m2LB/YG8 +JD10m1Zf8OwYCzKuO1CM0LGOu+9cG2XBZXbjUx20bkznL5thFvxpVrEyQH+9 +Zrdq6isLiDHJmjXoiy9eHcjrY8HL6/P5q9GbxzaWW3ezoJbVSDJGzzOf/Bx7 +zwLdI1UBpujbHI7G5Tcs0DDPTjREe/jUBFq0s2AJP+OLCTrhdaDXh2QWiDzy +bd7Gy19n1WrVBBa0p5J6N6NX9nBFD8ayYO66Htjyfv9weql4JAtax8jN23n1 +/ufDkZ2hLGiK357mwPs+U4u25B1ggc3KuC926GfzAQo//FlAC7l8xRHNEq4a +NfBmQdnDf9I7efmS5MJJdxbE6Rs37EITNKuzbS4suHH2tIcrWpqR7rnAkQXL +H4hMOqH3KnzQ9bVjwTv7rtN70FWLF4nctWFB6LjWWhe0+IqAd9yNLOA47Gpx +Q9/Sn4/M4mD+lVyZHmi+tZab+o1ZcDtLId0bbbchbYGmPguuW8ke9uT1A+v3 +Pw5rs0Cp4skXH/TUNhWiSZ0FiZ3mw3vR1g770qSXsWB+25NtfujLu++6uy5m +gf9eseJAXj15zmmXKrLgkGzJM3+0mb+F0CSLBWFKCxgHeOsl6MybdXQWXLLr +3BGAHgzvLDpNY8Fuy/rsIF69nvDfuESMBVk7t2gcRHcnVrKCBVkQsdTNIxyt +lTY7/GieCV2+Zq9D0CfPm9eKTTOhE47NRaDfXkpN3THBhEz6RHwYb30UvNuT ++4sJu1IZNyPRR0qUtEaGmXDNfm1jNPpVuZ+AwSATiobzfI6glaoq/jvRxwQ3 +L//DMeiDj2YKWz8xodJHTJ93/5PHG8LZ75nw+e2BdcfR/q1vGZWtTCCuVjBO +oB+9URyab2bChKS+TAKa0uVbY93EhENNQ/MnefXXdyflfD0Tqg8I/znF61ff +pnf3PWLCd5mzE/FokdH1mhoPmKDUWzWQhN41kcJ3uJIJxmLE01Re/5h50/7k +FhO8rFX6U3j1zq9YQCtlQlua8+M09BKf8vuvXJmQNi9TUoyu8EvZ6e/EhPiQ +199L0ZwAvzFheyb4NvttLUG/3G+RnmfLhLGVJak30U7BizRNtjDhiXDP03L0 +txC+l51WTFD4WGd+i1ff4Z/8Qzcwwck2M/oOr/9GVotROUyos0ik3EanHckq +umHMhN7dquaVvP53JibzFIMJMxNKrgQv3w+2hpi9ZkANhz38Ae1cs5LW/ZIB +i4Z2LOziPa9WvDzyOQO47fZ2n9Dh8HWz3BMGrE1juvaiBRsahm4DA5p/kS58 +5u0fL/U9FMsZUJ/Q4/2N178+K9rOJjOAuSHTfxIdIfFLo8qcAYZ1D4/L7cL1 +wlX46LOOAd8epSbT0ZPjWxKYJgxwoFdwGWi9oSidFgMGLGt3D2WjQ3tu9ETp +MuBuRn/iAnRlx4dkjVUMgBZJfkX0n+fiBr0rGFChbqOohNYiDAbSlzJA1cP9 +ogo66K5P2vpFDDjWZCOzBO3v2vO7jY8BAduCVuqhXSte3R2ukQfLT1kSDujL +xXNul+/LA7lUMs0R3XVpJWlrpTzYZc2scEY7JyR5VZTKAycpx3EP2tHFgh55 +UR6mJ6Xf+6K3i9RFiETIQ5dXzvojaHOnMiNlbXn4t2+KPx+9WLP0UJi6PLj7 +K+0pRAsJFVc9V5MHDf1tUIR+XJarfVBRHhLD5PfcRHP4M5Y3SMlDiGs2cR+9 +5vphltcgHb5YGcu2orUnLaevX6LD7A6jNC5aumWDwVwWHVqDDgULOJHg99V1 +4bbn6PBYmuIojL690fjPv0Q6LDtx8IUkWv2yxpB1BB0yQK+XgVbbIPdhxJYO +A9z2Kh20wtm+h6tE6aBkN3VuH9rAM6SxQwD/3zh3fD96u65Q66F5OShTN9t1 +EJ3wdskATMiBk/dD9Uj0L5Yf2XZADj6FrFmTgK4vGPUIrpeD5VrwrgC9996s +ZMUROdjj3dvVgz4af5puHyEHYrKDtf3oCw4KytMH5WBZjHbBIPrlP9PVZv5y +EKNpVTSKXr32hNtrRznQMTl6iosWeyp+74+eHEwsqbNWcibBjU66q84vWVjo +f9fIC+2dGDYdOSwLb3dSp/zQSkYd5+GrLNx9FvFpPzojJ711yydZCNjYn3UI +fdRVap1vsyxoWV8NSUFvH+BffLlQFkZjyJb30FOjI99FdslC0M59aZIuuN5z +N8Vv2SELYgk/tWjoQNtSlYytshDpUwN0dF+Fj7OyhSys/ntjsQq6JazvhbGO +LEhr0BYboq/MvCsPIsnCffeefb7oDaINYR/qZSDi6bTFC/Tt0hAl/VoZePhq ++53X6AU2i1vOPZCBmxt0qe/RExlxSlvKZUDiVv/kF3SRilULcUkGpP9JKvDt +xv1p7UulaxEyIJsr1ayHfhX6ruWAOl7PrFErRhsxToW/UJOB7SWh8bfQRTUG +yssWy8DFh2Uj99AxAtnhfSy87nTjdSN6VZqL8k4xGRAvreP2oc/d+Bxu1C8N +VksviSm74vroG1YWvigNJQW5cwVo7vFVF+9kSMPy+ROjN9BFymFU1zRpUL5Q +MFCJHnebn69KkIahHYM/GtDpPdQu33Bp0Jje5DmAbu7SO//CThqeZvH/Vd2D +6+FdjEQGGe+PyxevRPeHNx7nSEiD8PN4hUfoJLr4vxFhaSjNXGz4BN258+yg ++RwNNgd+Tn6HDusobPw7TIPRhqW3Z9G32p8fdX5Og6dRm95auWF9vJAZUzlJ +gzNfr4p9R/tsUp0NjqHB157F1uPoW80GwvWHaUBKqMrkok2e75bfE0wDIdFE +B7o79vOmYuMcVxps2WpzZAM6E4xPyhjSgCVfYleAlrjnKSf0kwrW3D2l+zxI +YKsbrmD3nYr78siNQ+gLlaeW5g9QwYY6WheHXlpRZsj5SIWdXDdqLnpD+d/d +Uc+o4HHcIOANOqYkuWg8nwpVkU7M9Z6Yz8uV+l8cqJCgxwfL92I/ZzqRTtpR +wVSsrdkAPZXB16+ylQpnAnsGLNCzyVtS3SyosDKG39ITLXx4cOCjLhXeWnY/ +uYSm27PPvqZRoSzx3X1pL+yvC0Tex2RR4HDEzREJb+zXMnYna1MpoNUUzcdG +H5LI1ZyJo0Cir6fqCvTxKcP48FAKNDDCrm1Cn+0I1Am0pUDKnbmI0+i7ODA7 +SVIgTSUgRtaHBP9mC830Ysgws9E0f5Uv7t/vMyWuhpOBpmxx0wzdfC/+tdh+ +Mhw89Pv5DnT2fl+PLhcyKN0UMI1EG/WuiD1hRAYR/TZaA/pIQ0V9+wSuE+N9 ++538SDCXCJz9ASTYeY+TecEf+4P3HbFOzJuchtnKMvQrs/y2dbjObd1C39f7 +89bnCTc5a9xnanLChtFrAy2PPVpKAo1mxfum+zD/214REv1SYC6oETaC5pfv +Wlu8SwqSBr1OOASSoLTCd7n9NikwqMkRCEZvt5mQE7aUAttZ8tUkdH4c+YeH +rhQMt4SvqkNvGOfkKFCkgNgXc191PwlOtV/7m9koiXPlgbA5NDXlwO2TmpKw +12RbweMgEjxYOpujoyoJj58+kupFuzecSuhbIAk9Qs1Zc+iK6TxXjoQkfA42 +lzEMxvOFX4fU7IAEjKptL7yDvmBh6BeSLQFPi0q3lRzE+ucXVPEQlgDfFaPf +KkPxfTPvF92eFYc9xUEp/6FdlgWs4I6JwwPdm7Zj6Au2b3Qv9YmDnE34Op0w +EtDyiy3fEuLg4DRffRctsH5zoPVhcQhaEqtbF06CgZOZD7RHxcC7a8Bs5BBe +Z1qbHP8qBqq3g9ypkfj8svn61k9i4HJnR5Eu2uWNT0vACzGYkTxZEI1+s8So +u6hEDGzzJIJoh0nQ1NQtyN4rBsdl/MM4R0hQLKa2VfC9KHA/tdnVRuN853Lo +7/lWUVA/0SgwhN5b/uzq8iZRqKocGqAfxefZ+/2yrRSF31bH1wejswtK03NP +iwK11SpILYYEqWvVO0zMRMHMg1mTewzXU6j2rkM3RIDFCH1YfQLP209j+aXy +RUDBodL0J1qH/V/J1Qsi4BBVzqdyEvfD+pDppjgRaImu1UlC+1Pu5ci5icBy +g2Cv3XE4j5Tqd1fIikDhQT4tSgLOD71rPH9EC0OfHN08Pwn3N6aWWlmoMKSF +up/uQjfbLvkRsE8Y3lyJpcsnk8CmgRQx4igMMUbOIylox6LupGEdYahuF7t1 +JAWfF3Cs4vt3IRA7YPLUKxXnxakG/q87haDKsMhm/1msR60HTdc2C0E7d3DN +HbSc/81kr/VCcCZ0Rdg4OvtjhtyXVULgt+tX45FzJCio81o2ICkEtkYSQ6cz +cL47KWrbVy8IjWPr0+A8CT5SN+V2qwsC6X58knsOzidmPvMmSwRh6PVm1RK0 +dcgJl8sLBOFNirfkb3T1mxqGi6Qg1Ny4U3H8Ej4ve2X6+28CcKM8MrroMvbT +xeTYjgIB+LnPZP38VTwv6rd7NjMFYKnag6xvhRjf70f9MpoAOOdZjRhew/jZ +4kqJYgLwtyX+XDK6enZdl+VffnCiWH3ULML49RU7nnTwg3ZsmmNUMcbflGEO +Z/gh58zVbUtKSfDe1WFplTA/DH3MiHhYjvnZSilxmuWDmaOPzy68jfk3fbqc ++4cPyDOB7Fh0tZK+hlUvH1x/NRu++Q4JLvXR9T5U84FWo5nn1wr8vt5vzeYP +8EFh3ViIZhXW68fSRyl3uURENLuIWYv5e8SCN3lcIljQeVsKuvhyUoPCGS5h +B43hXPSpPf7Nt/24hAyfqNFgHQk29S/r7FDgErkPvhc/AjwfD10fW5A4T2Tb +njsT04j5/1e0vGz3HMGEH3S/Fxi/xdtNb/Mc0bK7Laofffay6vlaozlCZo7r +4voS87WuiP+V/Byh6yGYuvMVvs+pa50/22eJTdNv6za2Yb7kC+NXWcwSO52z +6zZ2YH3p5fVVaswQ6XEBrje6SKAr6s5Ys3CGqJv2Hdb7hP3pvZJNo+QMYTyn +w1+PfhaV+7Dj2zTRyGY/7+wmgX7j1bSJ/Gnic03cO/Jn3F/srqzVl58mSGMX +nTK/4HoKysmu5k4RbOd/vpRRnDfqz8q/HJkisgJVFR6iT9OSMnreTxGDxKl4 +z18ksKg4lCp0d4oY904Oqf5NgodjO2NtfKcI2eCxtqBx7N/hVP++tr9E3GaG +Bt80CXyj4gwl8ieJOW2G5i1hMjS+iKpacGaSOB/UknVAhAzKC0N1NKMmibGq +w8+1RMnwodZDfYf9JOG6vSDpgRgZtnBNla9ITBK3EykXWiXJWEfTYtohE0TY +M9tji6Vx30o40LlrwzjRFdxUuF8R96WCW6mNWuNEz6OsdAslMmyo+7FBU3Gc +CDZ5Zq+oTIaU8X13hKbHiP/ElwX+p0IGBXffpPLyMeISQ6PbXJUMHCP3NcLs +MUJ3oCB0hzoZ4ke2597+/Zs4Onc+b+EaMqjkB7SR144SpZWKF5NwH1xXnZTn +wR4lVAIq/yXvJoPb6+sHq6Z+EuEZCutSXclwVeCLrGvlT2Iui5mQ6UaGBZ67 +d5Wp/SQEzwoKlO8lg9xim75NMj+ICRcfS3IgGcSKNMdPfRsiorQDH8YeJcPP +kj/ygue+EjkU4UV+hWQgEzER+wK/EsdeRZ1qvEYGzQ6pd/9ZfiV2N/iuUi4m +Q9C86vnC2S+E4xr1Td0lZBjb7ixr4f2FMJRxf+JTToapmQZqouEAoZBQk/Gg +mgz8NpnilN7PhP7fnG8Or8mwbODApJ7TB0Kt6wk/CFOA8fr5UUHZD0QeZZu2 +vSgFRGCRaPvL98Tzgxa3fohRoC/nnXzAuvfEl4/7kpWkKJBtZ2qYr9ZJOD5a +P5opTQGpBnIU+e8b4q2+vQAoUuBXXhn/4Ll24pL0hii6MQUCibfMVTn1RN2Y +W95EGAVO/X42nkKrJwL3r6v6EEGB/EU1rd8TgMj+s3d1fSQFblJMJS2/1xGV +0UpHzkZTICa3rU/9UjWhu5O8zALnoMWPx9Jn+CuI61dMbvzJoEBvGUe0u8KP +eOIn+HnvPQrMP7y07OJLMOVe4Z9rn6ZA97mfskMe9abRnMjdVnMUqAvk8BlP +1Zva9cRcBC4FjioPvO1SaTBlNxXYOQtQYf7UipNKh56Ytjodz3IRRTtUdxer +NJsK1jdsSsG5jTs9vPFjTbvpgZnaf/mq6Avi3O/Uj6YmRda0epwLe8ZLUoZM +vppW6T1eMFxBhYEuytE1t0ZNx/4Y06eW0yBu1bMvBpHjpl2vNhYlV9DgmX7K +VHzLlKnG2pTpKY40fLoSZLL+yJzpD72b1PMj0pDutTLi4g8+Tp9zTuJmPIc8 +UilWTZIW5GgNvuk3s5eFNor2qJa3MGe8uaXOREMOonrqAsfSRTmWNWGm7wTp +QOtxFg4YEeeoFH72Y/2lw9r66e3zClIcf43r/33ul4dQ69yIRAsyJ51arPzy +PwY089/44GVD5ay8J9F6sIcJRa3xHee8aJwu097Vcj0siLg35LQwQ5oz3/z3 ++K5/bHjxs33zoloZTn+iAfuF9EIIZFYzV7+W5TQW3x0PXaAAAi7LQwrn5Thx +446eRqaK0H8mp1hRXp4Dz4MdXdSUwEo+zVJ+OYMz3VvTvqJcCfKrpEL9dzA5 +4bX1fgwzZdApePrHah2LQ69RkV58Xxn+B6PZcOU= + "]], LineBox[CompressedData[" +1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAlyAZrU5KGkCxgSnemrshwMOutnul +bxpAIggrZBXOIcA+FuN7gHQaQCr8p6h80CHAM+U7fDZ+GkBh2hxHS9UhwB6D +7XyikRpARxgV2ejeIcDzvlB+ergaQNyUb0ol8iHAnjYXgSoGG0CqT+4toxgi +wBmeQ4EFCxtAkXjSQgsbIsCUBXCB4A8bQC5q+l1zHSLAidTIgZYZG0DBrvmm +QyIiwHRyeoICLRtAgIrzguQrIsBJrt2D2lMbQB++2lwnPyLAxBUKhLVYG0A4 +V8PSj0EiwD59NoSQXRtAwRyDTvhDIsA0TI+ERmcbQEP+bVfJSCLAHupAhbJ6 +G0DzVTuua1IiwJlRbYWNfxtAklwnUtRUIsAUuZmFaIQbQNXktvs8VyLACYjy +hR6OG0BdJqdfDlwiwITvHob5khtAf0b7GXdeIsD+VkuG1JcbQO+12dnfYCLA +eb53hq+cG0DQODyfSGMiwPQlpIaKoRtA5JkcarFlIsCs8KOS + "]]}, + Annotation[#, + "Charting`Private`Tag$37780#1"]& ], {}}, {{}, {}, {}}}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.7142376665939217`*^9, 3.714237904669828*^9, 3.714238469686336*^9, + 3.714239486913962*^9, 3.7143096688288794`*^9, 3.714309882196475*^9, + 3.7143102980925283`*^9, 3.7143103387980967`*^9, 3.714310788182613*^9, { + 3.7148075632639427`*^9, 3.714807570439906*^9}, 3.714807654527153*^9, + 3.714808257639398*^9, 3.714808797213571*^9, 3.714809145326331*^9, + 3.714830887652412*^9, {3.7148331530408792`*^9, 3.714833162206613*^9}, + 3.714835185025297*^9, 3.7148363566927433`*^9, 3.7148365448388443`*^9, + 3.7148372620837307`*^9, 3.714837316260206*^9, {3.7148375560333223`*^9, + 3.714837566324032*^9}, 3.7148377355398607`*^9, 3.714837769146194*^9, + 3.714837997802803*^9, 3.714839546849403*^9, 3.714839598429822*^9, + 3.714839641354657*^9, 3.714840047372992*^9, 3.714840761409927*^9, { + 3.71499340791967*^9, 3.714993419710197*^9}, 3.715473470610221*^9, + 3.715473614608964*^9},ExpressionUUID->"55aba01f-f152-430d-832e-\ +7b26dcddfb53"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i1", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}]}], ")"}], + "/", "2"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "1"}], "]"}], "]"}], "-", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}]}], ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "2"}], "]"}], "]"}], "+", + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{ + RowBox[{"i", "+", "1"}], ",", "2"}], "]"}], "]"}]}], ")"}], + "/", "2"}]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{ + RowBox[{"Length", "[", "#", "]"}], "-", "1"}]}], "}"}]}], "]"}], + "&"}], "@", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", + RowBox[{"ff", "[", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}], ",", "a", ",", + "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol4"}]}], "}"}], + "&"}], "/@", "func3"}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253437402265*^9, 3.7142534724354877`*^9}, { + 3.714253563304009*^9, 3.714253722476042*^9}, {3.714254476615617*^9, + 3.71425448002065*^9}, {3.71425510271012*^9, 3.714255104325654*^9}, { + 3.714393591583131*^9, 3.714393604335699*^9}, {3.714831650720236*^9, + 3.7148316512479*^9}, {3.714907226585177*^9, 3.7149072267446632`*^9}, { + 3.714993456613233*^9, 3.7149934594500313`*^9}, {3.715473499619886*^9, + 3.7154735054840403`*^9}, {3.715473553081217*^9, + 3.715473553145027*^9}},ExpressionUUID->"c40a6c10-5f63-40f3-8998-\ +0a1a3cc98be6"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"i2", "=", + RowBox[{ + RowBox[{ + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "\[ScriptCapitalM]0"}], "}"}], "+", + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"i", ",", "1"}], "]"}], "]"}], ",", + RowBox[{"Total", "[", + RowBox[{"Take", "[", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", + RowBox[{"All", ",", "2"}], "]"}], "]"}], ",", + RowBox[{"i", "-", "1"}]}], "]"}], "]"}]}], "}"}]}], ",", + RowBox[{"{", + RowBox[{"i", ",", "1", ",", + RowBox[{"Length", "[", "#", "]"}]}], "}"}]}], "]"}], "&"}], "@", + "i1"}]}], ";"}]], "Input", + CellChangeTimes->{{3.714253865375753*^9, 3.714253984848627*^9}, { + 3.714254040978917*^9, + 3.7142540416013527`*^9}},ExpressionUUID->"295b6c01-580d-4c0e-8525-\ +e1e5070953a9"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListPlot", "[", + RowBox[{"i2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", "1300"}], "}"}], ",", + RowBox[{"{", + RowBox[{"1.22", ",", "1.75"}], "}"}]}], "}"}]}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}], ",", + RowBox[{"ListPlot", "[", + RowBox[{"mag", ",", + RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714253985859055*^9, 3.714254037488164*^9}, { + 3.714254070388905*^9, 3.714254079756922*^9}, {3.7142541248098183`*^9, + 3.7142541467481003`*^9}, {3.7142545552141523`*^9, 3.714254573165605*^9}, { + 3.714254614496805*^9, + 3.714254694969582*^9}},ExpressionUUID->"beea81e5-3cf3-4500-a917-\ +ee5f1c9cacb7"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, {}, + {RGBColor[1, 0, 0], PointSize[0.004583333333333334], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwdl3c8l+/3x22lbNl7U8mmwTkyskIy05BRKiHJrihJIpKQKCrpozRoSFkl +USgkUillZI/3Rvpd359/PJ6P+77u93Wd8zqvcy4lv1DXQA42NjZVLja2//23 +uPP1+rm80/DK3qvm7wUKzP9999DtdxpU3RoRj8yggJfSBaMFuUug7JXZOEVY +dUBiq1lHLtzplW/an0mBE8YPMyLPF0Cntq/MAGFKWkq8x+0ikGApNe64SIFD +Vstsj/LdhOYs/fpPhGc+eVaKhZdA3x9fQecsCiTprWoz+14Kounxj1oIzxSc +/m/WoQw4HrnftrpEgdltl/wMau9Bu1rNZB3hd7GjEjyGD2BhR9LZjdkU4FOP +iHr6+SHY7Tp+9Bnh8n0+54xWVUBHd+wjg8sUcD6t2pfoXgkHl7tYPCS8R9KQ +uzD3MXzo+ai8NocCTf7f76R8fQKnqzvcywjv9tu3z0bpGQg3avRp5FIAFlb8 +6gmqAtXrdx6UEKYr8Lw2r3gOdenan1XyKDDOllYZ/7caHIOStt4gPOPc63vJ +/iUMFKSvUrpCgb7EtXFJV2rARUdep4iwj1Dfk21jtXC0UiBXIZ8COa7X/E/I +14OJh6nLdcJCbgGPXzfXQ0dnhLfCVQostzlzl3W0AcSirlVcJ7xJ4rOmkuIr +CFfK9FEsoEBF9kv+jW2vwBfV3IoJP63SM7ONew3WHesLlAspsNT/+qqddiOI ++5YZ3CI8z8oTxL5GkONxk1a/RoGLf8MS1px/A1kHxFzuEG5aKu0RNGuChy9b +Pmlfp4DvRVO28ekm6H3peqecsLhK7XDtzbfAXnHhnW4RBcYMomLSvJqh9/Cu +jY8Jj7/bcsdNoAVo9tfnTYop8PDbiwDJNy3gssZo2UvCeonLb/TGvwP/eLYA +vEGBmiOi7jlG78F1zW/+N4TdEg5FuE6/h5DKOm77mxTwGHVj8pe1gpdAjMMH +wsEjTX0tgW1gVzvX73aLAo5LIRJnldshvVmovo/wn7TKuzY/28H3ybMp3xIK +2Ho9zVl+/QO0ZrQeHCG87djd4KB1HyFm0NAw5DYFdG9Lv2jP+Aj2DZ/taYSz +1/aZVs18hNLHeffjSymQpr8UpObaAWmte/dw3aFAM/3EB/HHHbAuR2pXGuFl +fBtm08Q7wUbuTqnYfxSYy6VsT4npBK1xmnkh4aw6zxPLv3eCF8+EsnoZBT5P +LzCELLqgevbo9geEnxr42l0v6QKte1EfTe9S4OTJmYXHfJ/g+IOBK68Ie6nw +5LuGfQKlmYIHjvcokCc6ej/68yeI/JYt3EP4llNHk4ZZN9B8ntTtLSf1uP5P +iO+tbhhoH3s+QXjDMnsjlZWfwYZfmS36PtGnLu9/YRGfoXmfbRbnA7KfBrUd +dt8/Q12xQ1gG4Yq6G1/KbXrgwbxUvsxDko+qo8+vPeyBYyo3BO8Q5pdKSZOV +6QUny66Pho8ocC3/3bBGci940Aq+NxD2/q68q2G2F97YThs5V1BgzZPIM6O7 +vsBcXfWXb4Q1K+7Si959gfvOM80HKylw5787tn9M+uD37kROFmF5LU+x+pI+ +mH6z59zZxySe87commJfgbv9+A7xJxRYLDyTqHL6KzzQbY8sIZwzSPF+OPcV +lklY9Rs+pcB/5yhSH/2+wXWprsxGwn8zsvac7voG2RB6we0ZBXgGxlreWX2H +yb8rewYJa82rsG4//Q6OJsUHj1VRwCQ64oKkVj8EbVSy43lOgVfZKmsUC/ph +X9Op8FzCXm9Tj9UK/oDVbC+HNaspIHBOQpB6+gcsj39dUk346YDjtQbmD9hr +mvnA8QUFRMJ/DYqa/ITXhVJcPwgzra4UiIb/BL8TnjePvCT+dfORvW/5T5AX +35zOVUP8ykfRav7PTzBd3tmQS3i54oH+AdUBKAlgs1hdS+rp0PVQib0DkFLQ +xFdHuHnXfqerhQMwlyavsL2OAsqp9I7DfQOwJprjxAjhl/1irhkSv2At72GN ++HoK7I+V02Bz/wWutt4ywg0UaLzx77/6rF+Q9OCV923CWblg2PHxFxxfVfJr +4ysK7AhmKOgL/obNzxafdBCeWup5+3vrbzhr1NS1/zUFtH9onR1O+w0l2Usb +lwibabQ/39D6G55uvDmV3UiBoHh4+XPFIGykPhpf/Yb4w5+s8V6HQZgb1TR4 +TTj2Q3SJStog1P7H82ZHE8nnTzPbhtZBmFCyL54jvIK9Vb+CfwhUi+fepr6l +QJn93Ua60xDs/vzPVKWZnHeaY3dG5hDYfTxCfUE42TJ/T3znENxbtJ13a6HA +mZtftGvFhuGMZrL9FOHa0PdK7p7DcPeE9tDZdxSwU5Yrtcgfhr0pJu+U3pN4 +rlGUT/o+DN5rHrBeEI5kfz8mqzQClvcvHfVopYCRRPWRlYEjkHN/xGSWsNC4 +ruT2/0aAqXXfJq2NAjdWyljNTo7AQvTYdY12CvwU5d85ov8HHjgXWb4mnPnI ++q1R9B+Yetmlt+cDef76/uS3mj8QqH3u4ALhEK9+k++cozDs82Yy9yPR01MJ +QRP7UZAOTX9h2EH6X5Tj97HMUaD2DXd1EHbMl+Nn9YxCZmiPcWgnBdozvi33 +UxiDy+6Bgyu7KFC8LQ3U94/BBH/utzLC6+N/Sds8GIONR44q2H0i/TzSdvkr +xhhUPWAvHyHcGv4tOh/H4Y2L3ZnkbgqkFIb3fjg3Dmr6rnfUPlPAxS4n169r +HDBFVfwN4YzFVPXtchPg+725PaCHAmuzttKL90+Am7BtJ1cv8ZuQy9HOFRPA +431XsYRw8ONuhZ1/J2Cf+eJz6y8UmHA339NsOwmU61bXhgk3m9SUZWdPgtzD +C21n+4jeL/6LbPg5CdPUwS1aX0n8uI6ud147BWm2rvzvCVOe2gSZx07B2Z4B +ucPfSL+7HRyb8XYKYpSuxwh+J/23N39k86ppWMe8rFhBOLnAUdPbfxpunuwU +ce+ngOur1086H03D2bV7XZiED0xzcXuxzcBIs9OXqz+I3quYH5gaM0A9cKcc +fhL9lZxnvXeeAcWYuLbfhP0mZ+s6omZg4EG3acoABQZlm/byFc1AmMSb6TW/ +CH9eLh/ZPAP+y7zmOgifOqVuuGp2BlxWF2LUbwp09k3+HpGahbdRN/tkBylQ +eSX/8NTmWZg1iK1/RfigUYewVvAs7KbqzgUNUaAovkg47/IsrCvoCRUcJvmH +U/c31s1Ct8+J9U8JMyV3aouNzsLlR0bOu0Yo0MOV8FZJdA5sDwg84vpD/F6w +vDnAbA40r0rtuUe4QkzoyPf9c3D0XpC32yjxz2ArrrSsOUhw4i9aJHy51K0p +rGYO2E5KGZSMkXxueLFw/s8cWJ69LuI0TvrfBv/R76LE1xcfmTMIK0v992kf +kH3W+D8rmqDAam8fTo1DFBilv423n6TAdccXL+TJHOUhN3eBSvhC53ErJ+Ib +FrO0yWtTxH+FWgefTFMgPn7kih3572xuNeguSwUd0a9ZVMKpO+ZTdeyo8Ml1 +qPf6DMkfNVoJI6lgriwT7DBL4jHZMJN6kwrejy46Mgjf2ei8WbCDCnXRu2Nv +zhE/fyHq27ZEhdT1uTRnCtHLbFz2mzU0cPq7rXaR8KoPIdrMHTQIXFXy6T8q +mZcSnA4HnqMBQ7rU1JNGAf2trDv8VTS4OhUyxkUn/dHtndbsMA1yq0THKgjr +bs/fJCROh7aReyZ7GaRfxtXrHLKmw4Cea5cgkwLbg0WdOI7R4V2WTE0t4fyh +0T/dt+jwe6sS7TCL1Oc5GafhT3RwGI+Lk5sn+/vB3mbAzYDM9VYubYRfKcc8 +qTViQIPjpaPHF0h8pAc8z+5jQNiJU0NrF0k8xuW4L+QywOfw6tv9hOv/5gl0 +NTOga7H0ScZf0m+mLJo85hkg4y4iZrFEgX27M05IrWGCyO+khjnCuj9Opsrs +ZkKxp3TtrX//y0++2a5MJjBKJ5d7slGBx3N2vP8VEz6tlC5Zzk7ivlFhrIjG +hEGOFxkvCeMHh/SbmiywtJ9oCeWgwoER7dUjPiz4MtSyXYWT5PHDX6ngDBas +lQ1b20OYRy37of5rFmyJXPA4z0WF298cbTYyWPC5LuUjcFNBWUPCIHn1PIjy +GuVTCavGHP0g6jsPygVyj//joYLbiYiIwex5qBf2ld/DSwXDf3VxzJZ5ENok +/UVsGRUEeDPB5d88/NA9OPiOcFddpfSE4QKo2oZg4nIqhEVmBrUeXAATaetJ +Ez4qFBUpn5ktWgDPRP7xKcIbx5dafXoWYDh3eP3tFVQwhe2FKwQWQaJ6+suu +lVTY92hkO7v1Inw7bft+FT8VcksUnM3iF+Ffh5BAO+E7n+Yn6yoXYUdD0I1k +ASq0B4hnnhtfBNkHYSkgSIWhvvLL+Sp/4aipXT2T8AuLgj0Un79Qu17UvkKI +nNdpl3N29l/I/jCtFixMBY59Am+Pt/2Fj+5sbuoiVOB9FKr1kGcJWvbv+/ST +sPaGoS+rcQku/7AsvSpKhUap6E2zMUtw43N1q4cYFXpTep6wPV4ChZJJK5FV +VOjm3HF3x9QSMAeWBNsJOx5cOvVP8x9k+QnrpIpTIXnT4ZvT/v+gZIPtdRsJ +KtiWsY6uvv4PKl82+XNKUqGg7cbOyr5/cDX6YVw94fbDfL8tV7ChqpnWyHEp +UmfS3WluWmxoKe5+e6M0Fcb2Pv15fgsbNm71es4iHJKxQmwskA1DDnkqVslQ +weRr6s7QJDY0Noz6Gknq/p2I1YzMTTY8VfZtzEiOCtEqxdwzDWxoIlDuRCOc +/XFf1/hPNoz+ys/7RJ4KbG5PMgXZ2LGxVVXsmAIVNgwtO+ajwI75vRKRRopU +8AvfUPXBnB3t9PnX0gn/sUzICt7NjhS71eufKRH93AjZpH+CHa1b8/Kjlakw +dYw5pXiNHU/fiN+2QYUKr+dDf5vWsuP07N9di4Tjfc9uj+1nx1JZq/paVSrc +OrYtZmiJHTXqI6MT1ajw2GdzRqwCB6Y8rUm2UqdCrb7ux/XIgcGrLMZ5Naiw +2LI9SmUvB77S0br9nvAuB7t6k1Mc2Jdx7VmGJtEXQ2gk8iYH/mJ/p+CmRYWd +HYKaA40c+ODcp35JbeKDLkL1kcMceGD/CPU74X1qlhMmyzgxWXyN383VJF9j +MKaqzYlmTq3qB9ZQ4VIPN9PMkRMr2eY2r1tLhZNnFrefDuFE9Hn7lEZ4/j51 +Ey2TE/2aIk+91KGS+6Pm3KVKThwa0r59eh0VmGbmlXs+c2JbroCygy4V7N2t +671YnDhKc6SL6FFBtrna+6QsF+q7Cat8JeyrkFLfBVzYYXH2zk19KhSf4zL2 +8OdC15S+5GADKujfpS3wnOVCjjUmtUaGxLcPZLoNl3Fh56EWp3+EO2/FnKK2 +c+HBhhrTFiMqfBN526xH4cINPzH+kjEVfsmxHbomwY29T09K7TYh8UmRL9+w +iRtdQ0qFtEzJ+Q9kdPHs5ca3QUN7qYSXqAYqnMnceMFqP3/9eirsBr+BdXe5 +MaF3h2jaBirx6eHt6R+5sd546qjXRnI+K44GGTo3Gtx1Xqe2iQorjoaFfpXh +wawX5dZzhIuE/W+3WvBgmKbJszoz4n+lZ8qn9/Pg43HppHRzKkh1/G21usCD +jPUp93yArJcK3tr6mAfXJN7X1UYq6M1PRCV/JesP1AixCCeUSuUc5eDFlO5B +x2YLKnAxl81d0uJFzgG3odzNVKAHuHweceHFTb/M+vZbkuf9XBdCo3lR88DH +1aZWVMhpeBGwuogXE8Gsb5k1FbK+nL8t08yL7AeeDH0hvMtQoAhneLFM5aDT +XRuiV4U91/Ill+Gx4TSx41tIPRgoTGtZLMMBP2dTZ1tSf4YRP6cOLEObpN/P +lUjf9RDkaxjNWobnQuOuUAnf+CH6U/rlMsw8bdfz1p4KGaOO6aeGlqGOd8LR +qw5UkM5mSSoJLke2164hoY4k3if/dNFNl+PuNspby61UaI44KsjlvxxX1+Uk +SDoRDkiQs0tfjmaSoXmThDcUnHJperYcr2Y9FHztTPzmYdxC3K/l+E85YzjP +hdT/6cUjB/n5UIlhLhe6jQr5YerLskz5cHkUtdLalQoR2++JUPz5kGI1WCa7 +nQoPL3QNp2fw4eImSw4qYeqGY31+L/hwMsKm+r0b2d/Gf5bhI3wYaqbSddOd +CjZ2x2Jfiq7Ax4qCW+M9qJAnH95tgSvQ+DdountSweqqZjnH4RWYeHo8QMeL +CnyjATv+XVmBxC85l3lTwfpyurHp2xXYF5fG+YtwVcOtq+XUFRhLnQp8uYMK +R3fYDe5RXokH025r5/pQQUin6pCzy0rU3Te2LXwnyd/qtvT4EytRo3/269Zd +VGgt5CodubcSh89Tm7V2k3rfGi928etK3GyhLcWzhwpn6qgGMXz8WMb3vvUX +YbnoTv+i9fyouU5wsM6XCqObFDh5D/Bjg+66PYV7qTBud/5IeR4/7m31N4/z +I/54MUQwu5kfi1lDid7+VBiUfGf2gsmP/8amtEwDSPyU7HaraAngNYEqY4lA +KqRc2NzV6i2A8Svj7tAJa2+s/vcsVQC3thw5+XkfFa6t9dsy9EIAJQM+v3i6 +n3yfdlXAfVIAs0x+78oNIn4vElvNqyCITl86A6MPEL3saHj410UQQeZnl/dB +KgToj3manBbEV3w2dzYeIs85lCWePBHE6Bn4LRdMhR/Fjh5RfwRRf9vyM2yH +qaD4mQPq+IXw2uT39N+ERbk74gI1hPBfA+tvUwjpp8V5OToWQviR90p3WSgV +OsLrGqV9hNDOgCmWEUbqdxXfJu1jQjhM2/7y6BHSv28W6O/KEMJDZqPvvcKp +4Bq10F/5nxBKGtIszY+S+A2tiNZpFMKn+ERVNYL4veAqo7Z+wjz7Q/iOUeFg +Tv3WTJYQGuy3VZolfMNTZj5KTBh3n8w16yVzq+/WnPCkdcJ467+s13VRpL5s +eGee2Atj5onoytJoMk+U/Xd35T5hlOw6y58ZQ4UjOxR+pCQKIwlzR3Qsyaf/ +kUbtQmGcS1Jg94sj+vkulDNXJYxj9epXHeLJPFHXc+HnJ2F8v8G9yOg4FUIf +LR+jzgjj1OKYkOIJ4m+f3H6v4xdBHRfNSb6T5PslnU8vaomg4outRnTCUl+W +FUvbiOBtzoLRgQQqWK4b63/nJ4Jf17rxtSeSecipp/zGSREUPv4st/oU6b+3 +rzvcKBDB+XDerNLTxK+8TtFbnougXMcZVnYS8Rf+dZNSPSJokBfRfuoMFcK/ +NoVkUUWQd5m48JFkKgRv+l5tICKKHkX3GvacpULSSLTw0jpRlFWK++mU8r/z +iFXObhXFU+caD5ufo8KblqKfAsGieFWq9YBOKplHRU5/dU8VxYRt3Z/kz1Nh +x528oaY7osicVXkgmEYFkTPGFn5vRfHZ4gKTLZ3Ua5a2nuawKD6sLK6YI+ya ++5IpyS2Gq696fxu8QOYXkwdfDVXF0C8qKLIng9TDHMrHW4qhu7No4rtMKjjJ +r+We9hPD6oPXF2sukv3O3etOPyWG49tdRx9lkfwkRHd73RBDrZ4jW25fIvXf ++Nbe5ZUYdnJYSVzNJt+7vz0+4pcY6msKemdeJv1AzfPRG45VaP1Vij85h7wv +n6lnpbIKb82VGcTnEn1VoPWM5Sr8krK8LTyPxEte1+hdwCrcsxD/5cAVKuwf +vWvfeWYV2o07eu/NJ/PcYsqHZaWr8JdZg6P3VdL/X6oKhDSvwiBZ5cfbCsi8 +rbBvG8fYKvxAfZZhX0iFwC+1g29WiOPn6Pc/LK9RQffEGrHna8XRpKjkltl1 +8nv569d8cxbHgdsZ/SZFpD9PL8WsCxdHP4GudP1i4r95qg6V2eKofe15xdob +VLi+9vfk/mfiaOufvlWL3MuoPNyPtvaJ4+OHebvVbpH5P2Dkd8BfcQxUVB9W +KiG//1/c53JFCRTOShiUv02FVzdtv2haSaDTWoq3bCmZdx4cMvu8XwKjfVts +pO8QP16R7/b0vASqDDjdlfyPChWiykdaHkigavmHsxJlVHBOmxgS/CSBjcvz +vonfJfU1fpwnlSmBm85Q/xO/R/RawlA3lZPEDprejHg5FV5GShVIb5bELXGF +DyTuk/msevMLvf2SWHs86Y/kAyqcbj/adzxNEkMfGF6VfkgFTV9nl3+PJNFr +5eJb2UfkvK9lIp72SGJ+n2aoQgUVTu1uLLz5VxI1ypZfVK6kQjX/V7W3KlK4 +12NyrfpjwhlXApXspVCbW8VG+wnRw89fTyvCpPCK5vwXnadknrlvFRGXK4Wq +x1+NGjyjwrkvTGZcrRRuX9l6bH0V8dee4aLHQ1JYvHr/CXhOBUGjkmY1fmmU +PD7IaVNN5i3JuLYPhtI4PJ3Ns/UF6Qcv9/JX7pTGxvqWZLeXZP6a4B75kCSN +nTGfknbWUOHntZbn6uXSuJrCwx5YS4VHEW+GnnVLY+32yoXDdVT46vLu/ekl +acwVWnMsqp6cf8KvLVVDBiumXh9ObCB+vbvbsc1FBjvZ24fOv6KCQ5tquUOs +DN4oL/ye85roU1DUleeWDNrcTna/0Uj8x1K56G+bDJbOfNt6/w0V9h7JWdRj +ypD5htpU3UT8cltU201lWbyvpNLw9i0VEicuxmzfKoumd15u6m4m8XWJDbKI +lsVN9eIbfrdQYbVHOkfITVmM5j37fPYdFSQd5x5+aZdFuRD/F2yt5LzvC74n +zctikQkHCrVRYTjCiRKqLofZC8+3KLZToaw5b9dVVznUKRno1P1A9PWnP4X3 +pBwKHvs4YPGRzCOHPX89viuHL/59j9jeQYVjzgK9N3vlcHydX1pgJ3n+fLj3 +E7c89lk/0YzuIvU7VeBmayCPGr3r7M9/osKWDc0vlnzlUfKT9uy1bvL+h28n +mRfk0f/EP7nKz6Q+nq8VNa6Rx7fhvB1ve6gwPTb159m4PJqVFPB976XCP02T +YyekFbDAT+r93BcqxCzjWJtqp4C+Lr0iy79SoYldP/lrtAK6HTb8pfCNCp9j +sxjhdxTwgsi59SbfqVDS9oXp0quASNGTcu6nAjxzZ9/IpYiecucT9/+gQvmi +45YjsoqYMj8TnvCTCuoPss+/N1TEZOf6ySsD//PPPyvstyriBnOPucpfJJ5c +J3kmAxXxipVQYvtv4velfNWPTyiitblj/ugg6Q9T1YHFuYooHBhkzj1M9BBn +Zlf5UBElXV4fVhoh85593a2xFkWUoL/QNP9D7g91k1Vbfivi3vJHoT6j5P7V +wWh6t6iIvKu5LGPGSL4dMoQixJXwyBnRm7njZJ7+PdpjqauE/QaY+XSC3N/C +Xu3ZYK+ETwTG+T5Pkv3o7Bj3DFBCK5djovQpcv8fi6ktOKGEvjlYJj5D9r/+ +qNzyK0pY9/P+B5NZKqx8rbS1sFIJiy8pJ3nPEb+Jn8jybldCo6ilt3EUcp+e +ajI0H1XCY1UlV69Rif8n68c4cClj2WjcvwYaFTh7oTRRQRnfcg5RhuhE3zMZ +PAMblHF7oHUMH5P0k7vuPw54KOPLT+yZ61hkvhb0jJUNV8a8kydN3eeJHm5M +KbLSlbF5UeVo3AIVDOpXyrGVKaOigzveWKSCsND653pNyniyK6ao5S8V+vov +4YVfymT+Z16aXSL3+6SepVX/lHHBzlRGmo0GT394Y4uMCgooFBtbstPg4Ut+ +1zumKuizlD8czEEDP/ukxEp3FXx14MLqXE4aHCyYkh0PV0GObYPcr7ho8EpR +4ahzpgp+FeaJnOSmwUvl810/y1UwJ3pXvBQvDQy9HS9cf69C5g03KZtlNJjx +V6aeH1VB0VyPrUeX0+D+ngiP27yqKCHRLlnMR4Nnia6802qq6PRBPf7DChr4 +Xo/y3melilN1rVFLK2kw1WlftNJfFe/5rFmpI0CDfVID634lquKGcxXrdwvS +oIe+tHOkSBVX3mxlyxCiQaSy9HHZelVcjP6zt16YBu/W+gwn/lBFF5eIXXMi +NKjadH1a4p8q3h3sp6iK0aCmJmamX16N3Idy1bxW0eCPnLFFj7ka6qbwU86L +02DPxS8b2PeooX3go531EjTo7FU12XVSDf0KKX40SRoUrcjJHL+uhuZbrHlW +S9PgdcDBG/fq1VCeJrFlrwwNuESKmosGyPrH39XyZGkQoczc08yhjqUCy29+ +kKOBhyfzjYqqOhqu5K/jVaCBFOekV6W1Ogrr74pFRRpc4BiPitqvjreTDnfH +KNHA5VrHqbBz6micUvGxUpkGxmmOfdfuquMgFgdPqdBg/VT3D452dTQxevCf +lhr5fdMqWsGMOl447JoSqE6DEEehk4dFNfBABPvyGxqEz3/4EWGsgSe8Ddb8 +0KRBbHdNfKU34Yd75mS1aVB9N+6F1nEN5Ly05OOzmgatLkkcvUUaSCtKOZC/ +hgZnBtc9r23UQAmOKJm+tTT4mP5kS/8fDawItAyXXkeD1Oq1Eib8mniPKyjE +R5cG2dbZF1v0NNHpxh6hQj0aBFe9U8rx0ESNtBKvH/o0EM7ONyiM00Tngidb +lA1pwJb3zOBHkSZ6rV/ZH2hEfl/oVcbOJk1c8FSXLTOmgYC+3dNVE5qoHpfI +MW1CA73jbeIrRLRw/snVi4braaAq/lrJzFQLN9+jtMRuoIE8ZNve262F77KW +3WvYSAOxdzf/ep3Rwr96O0yXm9HALNX5seU9LVw1FBS6zZwGx3/M/Qzu0sIt +BU+25QMNbm8aZX6a10KD7w0/fiMNbtVkhscra6N5o6C0zmYauDU4vvG318Zs +bmX2GEsaUONSDpwP10aLqbjLjVY0UC5/3kvJ10argOIeIRsaTLj5pxe+1sbw +UfHmXVtosGGPJOe5CW1ku7p3/11bGmgGnXj6dNVqtDLgfcqyI/Wa5KKmAavR +m+/CY1sHGtjI+bX3Ba3GOxLH/fMcyXlfFut1Zq1GLYrP6z9bST0zZD7y16zG +4u6KT+udaaDutrT6wshqlL/Kl3feheRrU37zdpE1uPnVBH//NlLfXEHae8zW +YEDob2O97TSImVje8zBoDeoGx4iecSPn03J2t8tegxu1N9z64k4D03njtVr1 +a9D91aNRHU+ip2+UEZeJNbiHETyY5EXOVzYl2CC5FrlMWNlfvWmQ/65FN9Z6 +Ld7LH1zQ96EBe1RAT3z4Woz4UyN1fiepp5X9F1uur8WEy2LTv3fR4LTdlWnf +trVo3hQdb7aHBideQKLlwlpMc457letLg8uqb3qPaOmg/PPyhrm9RP9/Dp6b +8NTBGLMbsU7+NChLe63xOFkHrVrHJ8sCaGBv9NSu5YkOfuGTl122j3zP+VTy +miEdvODexr1vPw04RF5H9outw6JXF+42BpF61j36+IfVOjRWZPKrHqRBQvFM +n+6xdfiYdX1t0iGSfwu2s50l61AyR27FUDB5/1GHx5vP6/DX/LJSmxAahGWy +07i4dPHbxDz7f6FkP9c6wz7K6uLR2TTZlUdosDlNIeyNkS4yXLwZoeE0mBce +tRp00sVU8YWsT0dpEK4ybbE2SBfVRQVm1h+jwb2piuqiRF3c1K8jWBRJ6pUa +zQlXdfHN5/kZnmga8Ko4HFn2RBcX1YRyQmLI+tF577/tukit4//3OZYGun4q +YvKjZD8Bl9ZgPPGXhNWMg5x6uPumhULZcRpIWtv6DMrp4akvz3vETtLgxtSJ +K6mmeihlcs0jIYEGzptLV+zerocJNRcLJhKJ3388vHJPiB42W5qWeZ+mQY6l +ByP9nB4eOmac8DaJBq51NZrjt/Twx2c9BeNkGixb9/1vZL0e9jV+PFtylgbm +Ve8/6X3TQ2ZkdfWqczSoUEpcKcvUwzT23KrkVKJfp14uYzF9jPcQPMU8T4M7 +Ty/KJ+jqo5ttm8ShdBpsnXV/Me+ojxqpcbH9F4i/mleZ3T6gj5GVb8pcM2mw +V3L98tPJ+ngUvP57e5EGgv22py7e1MdHmT8jzS6R/UfaC3TW66Px3Eqxx9lk +P/OXRa379THtSlri6hwa/AyPY40t6OO7UsH6m7k0cMiz1myUIsPFmi0fZa/Q +IDBv0/IOEwPMVh+qyMkn+Wbc4RHxMEC35IIg4QLiV36fz5+NMMAAXaW5tEIa +6GSLc+tfMsC+vxouy6/TgNul8YdwhQHuqNt3OrmIrPe2SdXoMECE7DSuGzRo +DhGJODpjgNWbg4JP3yT9ccdDfrqgIf46f1WFs4QG5wRrmh+sM8TeryMVp2/T +oL1rUqLY2RBlaLwy3HdIPHaLhr4LNcRPhc92nv2PBkKicpZrMg3Rtagymu8u +DSwdZPnePjTE0fbnoRfuEb8q3LLxaochDnOd2yx6nwbS65ec/pszRF2tgdm8 +BzT4bve+dlbUCCnrTp9QeESDnUEHuI8ZGWGhnN7o7QoajK1qumbgaYSfeO/r +r3tMAy1z7mU6MUYoLVXrU/WE+HVHUl3AVSPkvqgeuPkZ0af/T6veGiMUbSl3 +bquiQXEHVfLcTyM8bCgj611N9Mo+WBPFaYxd/ibvh16QeBZLPrulboyyvK27 +jtaQ/bLZnxOyN8aZ6Zuf2OtoIDN8svrFYWPsEz2ve7GeBneTxDtvXzTGWxec +wpVe0eD9kVdenU+MUb/kZX7Fa/L9R9m95n3GKPT2VpnVG1K/TUvfJpaMUSOr +50ZPE9HD589z31RMMK1LPelQM+lngz53BO1McNP5QGe2dzTYJrgh/UyICRZN +7efOeU/203tBH7JNEA9ylq5po8HnzElts2oTfHdLwKixnfhzkz9fwk8TnE3c ++3DnR1JfT4/vW8ZrihJq3VL0DlIfQ/afP681xdw5y/DMLhLfF35z426mGJV9 +rnp1Nw28jEbdbONN8dDCKcrbzyR+Ny9dmbhpiv1+AvKBveT90PJdX96bYqXr +io2cfcSfhchdhWqK4jd2ONz4SoNrE0EDF2TXY1tcv/Pm70Rvu1/+9rJej3q7 +Y+1+95N+2z8xdjhkPX5VFF1/5ifpl5InC9pz1+NB+gUFzV+kP2jeux7XsB75 +Q7v/vv9N+sHsvsJj4+uxM+7Dp7AhGtSH78WaVRuQcmR/ifgIDfS3ihhtxw24 +sPJcWM0foo8N1VqmhzZg2lElk8Ax4n/3D7QH52zAChOFef4JGixm8nTPNmzA +HzvDq59N0uAXY9vs28kNuNV7ZYzfNJnfuKd6p6U24gWpn8YCsyS/X/wtD9ps +RC6uX9TqOaLXPK0xk6MbsXaB93EQlcTzzJ0U76KN6BFgd0yCToNNOpbfPrRt +xCzV6+vfMkj/q/W5dXVhI7b+x8kRzSLx8d1xo0ZrE66YCP+gtUCDuvuVV4y9 +NuHbsLEb3xZJvZpNO/Oe3YT5TgeOZy6R+dHlfpru0004tG5mjzUbHcSvV0hV +Dm3CnV6JDgvsdECZoVcZq8xw721FiwpOOpiydnq8tTbDydwui4PcdFCs3Hdr +R6QZ0rcWO6nw0uHV2vMn7UvN8GVGVtD3ZXSI4sh9mdtrhlfaH2Xm8dEha7BY +35LPHBW1VzS7raTDHyHxF1s3mSNHxD1BEQE61P95plcVYo5cBiVBHwXpkF1S +HnG62Bz57vB8yhCmQ7XG2YCHn8yx7+NvVxdROhwYsR6EZYACh7cNC68i32MP +/KK/CdCRfV/GJ3E6TPgNrE4NA5T8tt45T5IOdZKbm2xKAJckR9R3SdNh8FHR +5QN9QO7v5yRUZOmw7k9vI4sX8T8bUB6To8PKsX3v5pQRL+Rp2FYo0CHg46K7 +ojmikURAapwSHdg7o36f8kYsUJIcs1ahQ95BsRnpY4hNf4OChNXo4EEJn/+T +icjx/ThPvzod9noUnJq8h2jx8+Sbu5p0GP/Aw6fVgpgjl387VpsOAlX5ogVD +iEK3WGX2a+hgf+CZyhYOCxRKaOuS0aHD1CbTem0FC4ypt1GeWkeHc9kxYVs2 +WeCpuLzcBj06yNB31RR6W6B6F8Mwx4AO8rhdTyfKAv+wri4cMqLDc6qnFyvb +AvtNaic2m9DhZw5b/b8KC+ybvrJcZj0dBiSOMyw6LFDvVvB26gby/YBrGfXT +Fhi0cOx9+yY6FLF/k44X2IwOTYzwMnMSv9fea4+t3YzjnMYOZ5EO/TmTO+85 +bkb/P5HugZvpMOStZqEcvBk5f3JcsrKiQ+eo49Ge85tRJEeVW82GnFc34kLr +3c2YM69ZzmNLh9uWx9ZxtG7GeZs9aaN2dDCsmqdGT2zGNZxSt9oc6CC2cOak +Hr8lfllZRqvYSs7z+tiRNTqW6Hs16NQVZzqI3FsZetDZEnfYlDskbqOD7ECU +/ESYJTqv6HI9uJ3kY6hboyLLEnncTK64udNB5ZiZUc1jS7RdWK+InnTwzWic +4++xxGVuZqNrvOnAkXZWoIRlierrbtOkfQh7PzQ9LWuFQgNfbfh20UGu97jK +f2CFpba2/fO76eC01eG0hL8VunZ71kz40qGVI0/gQ7IVnkuLGfrhR4eleYET +H8us8LiIgtenAKLXFxfSZD9YYV/5S/F3++igvEOPUUmxwi/OLcoNQXRwO+92 +PFfSGhOu1h5/fpDUw/fin2/NrJFnXFKrMpgOfBISQ9b+1pjm6al+P4QOCTUC +20TOWSPWLUSWhZF4PrOdXPvAGl+0pcreCaeDjjQl6Uq3NRqzp0mWRpD3pSuH +3BetsbXyXHBpJB3U5e7/8FexwR+KwtL/RZP6WcyybrS3waOHK5TvxdJhS+jN +iahwG8x7wJbyMJ4OUqk1907m2+Bn2kWHpyeI/hIDfb+9skFpp38hNQl0CD/3 +YfDCuA3WtQ9S3pyiQ8WvUak8sS3oWDjw9UMSyRff/l9Msy2ozMjV/JpMh0b5 +ZpWK/VvQyrT860gKHbQT9jc1XtyCFYMtdFoqHZqTTj/Re7kFCx9eieNOp8Mn +f7sfrOEt2H32/SHxDDqs9f5pKC9ii+k5wi2aF+ngzIwou25mi2yuSpc3XaKD +5T0rk5MHbNE4sbJj22Xib4f+6665bIv+1kkJQbl08LmhdnrnK1ucV95+M+EK +HRjbwnDntC3e5Pu9Mf8qHSL2JgrXytqhmt+8w5NCOsxpX/t7yt4OH/D7d3dc +p4O0+T7Be9F2uCpm7Mt0MfG/XT/dNpTa4YbivT6Ct+jg+vTsD53PdnhDrtBH +9zYd3vt4N6Zy26OS9rFvrndI/EcHZJyN7HH7ozc/IsuInsIcOI4H2uNlt5D9 +BfeI3z47lLsqxx6XRbsee32fxOdK55LUW3vUdfReMfGQ+G9V757zTHss6zm8 +WrySDhvC7g8d1HZAC46TPRZP6HBI8lDd850OePfaSeHQZ3RYc1xWMSbDAV2i +9n0tfE4H66LP5mWvHFDPQ8ek/QUdbrW/9nCiO2C6yGd1tlqS3ynD0n3ajjhx +xfeeQT0d3DdWHKXudsSoxU8tQa/o8FRjJRfrkiMGxJgnXm8k9Xon+NaxFkes +PXvvU08THTTeBJUc+kfWD+k3CbeQfhInsvOb0VZMKR713PqerOdYodwSvBVH +1CfPp7aR+Ltddje4tRU5HHYHtHygw27Z/7xlv21FeW+/38s76RDL4s45I+aE +/8mrrHD8RIdR+S1RYVud8COz/XvGZzqMWDNC+pOd0PFn3q7uXnIeiRLKx3on +HIusSpP9Svx6kJFgt+CEvqsOHg78TvyuqTHXztgZb/VMsT/8QYcT+qq1nUec +sfhumuPiAMlH79mTw+XO+GT3BWf7QcJcHcHJY874ssySP3+Y6OOJgUCfqAvW +WLOnjP+hwzJdzctV+i6oMa34ynyc5H+DSsGPbS545SR77aVJ0u/a/tCdj7hg +JY3nxNg06W8D6+L5Lrrgs7P5XJZzdNj55z630CMXvPNQ262QSvwjRzNsb4cL +huLqUBadDkGT0Vf/zbpgxKFVXp4sOtyLuHFwXGQbKnzdL/xsgQ70xq+v1Qy3 +YfrL24WSS6R/bC/MfOC+DU07ff7FsTFg8eSDmnNR2/DnafH1AxwM2PHbdOOT +K9swYvrQVltuBpxiti7qv9yGd1h080e8DHiwFMvi/LENC3y9hGT5GDCn+X21 +FocrZr03bkxZyYAOVc2sm2quSP9uvoshwIC60Q06EXauyGOn0r9fmAHdXfe5 +Cw67YnR/gV2fKIPMZ3+UZLPI+8UHbziJM6AxUz2T9tQVN3zfNt4oyYDsvpy9 +Wt9cMUVfXsNMhgE2Tf53q9i3Y8nDYq9ncgwQ0mxOvqWxHW2GHp8yUGRAlKCS +8NTW7Sg5Z3znkTJZv40tOCdiO24r5m/VU2NA2CGouXZ1O5bHqM1WajBgZ6/I +umWvt2NE5xFpU20G3PkgN9M1th3txybsa9cwwM032YBT1A2XLeaesVnHANuZ +5Xq5G91wyC2u7aMeAwLWi6hdDHBDxQO31XYZMqDw0TuXuXQ3pE6suzhuzIAy +L+P5F8/ccNeokWj8egbkrLAJnh5wQ51P3+8LbGKAqv00PX2lO94uddt/05wB +taGW03km7hg33w4bLBigE3L2gbC/O+6QOLexy5IBsSKOuawL7rhO/O2uEBsG +PG5IXuH6wh2zaZ/+W2HHgIiqskjZP+4YWsmjcteBAflDr2x3rPLA+/uqWh2d +GNBpncZYaemBDTucymZcGCDTkblkdMQDCzSN6nK2k/3/2/zj83UP1OgaEAAP +BgQPSynNtntgxEBHwagXA1xp5duSlzyQGXc+OMeHAT02n7nydDxxY0phovVu +BrQXNH3S2OOJQW+u/6D7MuAin46fSaYnjozqp5b5M6B/k4dbc4MnJjSwnfHd +x4CsU5be3yie6GD/skvyAHke1612TN0LL3crxXYdIvlK+XMs29sLLVQZcZkh +DMicj1q5Kd0LN59b8d35CAMU/9VXHm7wwje8psXCEQwI995ntpruhVrH9rR2 +RzJAZCT7VORqb0y+EuJXEMMA0XnNgG17vVHHdef+wHgGvEv89K4m1xtrKrV+ +6J5kwIyUTWlNuzc2rvnVtpTIAOV5lzlXnh04999Vkw9JpD7aV5WfNN+BRc8j +FW+cJXpMWDNgHbUD9R5dS4tKZUDFeHtR6cMdyNVpl+CczoCb+Vy8pWM7kDv0 ++T+tTAbcPfvBxEbNB9XENgjyXmJAULe371lfH0wrV6kcvsyAW6Wqz4ILfDD4 +/pfp5jxyfmHTeGavD9psfN9SfpUB+jJurDXiO/HztqPWl68xwIOufGql206U +onrtP1nMgHjv4IgrWTtxh6ugYfAtBnhJ25t+7tiJKxlGD31KGZCwtAvfCO/C +FZTon1vLiJ6/LuM74LoLDfkutmwuZ0A01025xku78NeAZdiGhwxgE3sq8KV7 +F87pBHwxrCTn5TeNL5PcjU1DHcv1nxJ9zL8V2rhzN1odiOXRf86AS//GT6UX +7ca7NV6fDF8SPQ65XL41tBtNnh+L3lDHAIrpConTq/dgo8kfxuZXDPBl6/u9 +OnwPLnfq9nR6w4AJ/kODxc/34PiJsMKdzcRPkl14qWy+KD+z0Hb4PQM2X5us +SFDzxegbzVOJ7QyIjL1+PNreF0VLjbmvdDDg21l2xrdQX3y344l45SfCqf1P +Hlwm7xe+1vzYw4C0TV5ecy98UVJgBmf6iH6+CCbd/uWLxjZfAkT7GaBW5zzc +tnwvSovr5K8fIPUqZWx4UG8vmjaWD/sNMuB2/k/t4957UdtB0yVjhAFDO65k +LDu1Fx/ln/hWO8aA5k4uXYG7e1Hzy42Ls5MM8Bbd9ivjE3m/JO+YxizR17p9 +ZzKW9qLMzmMXfKlED98k2AW1/HDHLt9fBQwGJAd42Qi5+eGFbZeivs0z4PRM +sPPlk354I3yHm8ISic8aFcWiu37o0i12MpCdCQfdlzXp9/rhZKXh0n0uJgQ9 +LvZy5vbHlGroXeBlQuL12yyGvj8WuH0QdVzBBGWuTd06e/2RspD57LoAEzJT +9JTpGf5olWrzji7MhHt2qOxS54/TqU2u21YxIc/ZQRmm/XHmwqLnA0kmxD8t +jn2jEICLp0Z/Csky4Vf55owhlwBM4b5FPabAhG92Kh+LTwXgilde+f3KTLhp +HPl88XEA5rTYf7FXZ8Kdw7Qu5kgAzs50VVVrkf2Nr32SJxOI+3UCUWctE97H +tv3rdw7E3vnkqBJdJly4M+ffnhSI6yq/BCoaMmET9cT1A9WBWPB3leh1Eya8 +tTt0onKGrF/Hf1ZpIxOmvsl/va+xD9c8/a+l1JwJXgear+3esw+3nJr+pbeZ +CZ94qxve5O7DxvDFvjprJvgWvHUY+bgPLZqWVW+zY8LsaKlbE99+VDq/P2XE +kQlGJ7y49lnvx2bRs06JLkxYGZR0qSVhP748PCum4MaEHTOTDtSX+9G313Gw +3pMJp4K+poyy9mPe5p1v9vkwwVr07LN7JkEY9vZfvdAeJlTsyfK0iAxC3XVG +P2v9mJASGb9Q9iQIpY9Krjmyjwlj22TtJmlBeGjzYLnGQSZwRcnPrzA5gJbp +cyG/DjPhlmvyN74YwkI10cVHyPokg67JFwfw/q/vnwKOMSFg9aHPVf8OYCCf +UPqaGCYwzQKpoVYHsUZI9y4znnzfrH+bROpBfJ+/aX1LAhNCHcq1Kz8eRCte +T4trSUyYb93duUXyEMavbGyLSiH56O56/MX3EKbvmvjjnsaEpX3DHofLDiHd +eVehaSYTCrpEPHlph3AxuYWmkM0EPk/1kHsYjM03lv9dkccEexVK6N70YNSe +k61dvMqEn/x8jqu/BuMNbW2ruetMSFoZKyCofRg1lBPyJ24ywbj18k/h2MOo +nJHTOl5K9BVbt3z9+8OY1CowPH2XCc6SG2fOyYWgVPHjOeYDJpgm8krzHQnB +Xv6TSzyPmdAXVLu27k0IVstfXCVdRfRQGEe5LxOKtQ0brPRfMkH8/Xv3H+Gh +uP8mK8e5ngmazBt+Hu9DsUQwVjq8kew/Y616ukgYuvXmfr3SzITCrF1PJDEM +DSz2jDS1MsEAOeW3hYThnTl+B9ZHJvyY5atcXxiGCdOiYnrdTDC/+/Jrd2sY +vrws5hLyhQm209vEtP6GYWDRyMpH38n5nmZOGescQTP9fC/WAMlv7iERTt8j +qPYn1GLLMIlPQKn5xawj6Db9uzt/jAlrIpPtht4cwQ9qZarUKSbktsYocc4f +QQ54uGk7hQnbd/e2TemEY8Oc/NoqBhN2Pi4IvRcQjmV6Ptwqi0x4paG1Ga+G +40M/3u5LbCxI/itScL8zHPnvcN3j42aBVTl1eoHvKKqvjcg/u5wFrhe3tK2x +OopWx6se8gmw4KC39YD1iaP4cyDy3yURFnw738FweH4UsTUvV0WCBWwHDi1a +0o5isM3W1OcyLPBN11zQ14/A3lC+UXdFFgiUVinJh0XgfY6MN0xVFoTdC6/n +exCBqwZ/693QYkHE5CGHpakI/FC3C111WPAn4orP0rpjmFN+jXO5AQvk5RYf +CIUfQ9XB3AtNJixw7OjR2fjkGI5HnKembmJBSgp9+DTrGA6LC9h5WLDgnidD +aNY8EpP/LivStGFB16YyoXNnIjGy+gU/hwMLdHViIl3bItFHt/b2L2cWXJ7t +Z3MTj8LqTI6Ed24suBM4UZjtG4XPDvTcf+7NAs/v34Jl7kVhR8Oo7cPdLHhv +Xl03zYzCJcstAff9WdB7XlhOaks0ZsX5SjwOYkF+XpXF9ZxofKawIqbhMAsU +Xpcop45E47uwpKLP4SzoDOybGlgfg1OlR0soUSyIZvoKP0iPwdrIieuSx1nQ +V7nHYP5XDMYWHrljfYoFH5+heev6WNyUyeiJPcuCiSczu3SyYjHOaGRLVRqJ +r4QRp/ZELO54oiiydJEFmQPSw81b4rDdd8mFTIqw2//kslUlcaj90FPhZgEL +wqcqqyS54nG3R1Iexw0WjFHNsvsD4jEldE/vwVIWjH55nHrkbTzKNtkvfL3H +ggeM2p/fVh9HWUN9eY8KFui4rDNYk3UcT8tn7P7yjOz/nHXsofnj+HVlcF9g +DQtU/wjzlwacwA+7gh4uvGJBk/K/W+MfT6Cg9Mt/+c0suNR3eq8NnES9Pxv/ +WLazwPjF3/eND07iTfldqfQusn7Dt8MbhBPQjbWet/ILCwp8hI9XOCSgxdzl +hJgfLBBvu8LpejYBU81/SdoPseDxUfYHio0JWHxkM0V1nAWSse+D1TkSsdD2 +ogHfLIn/IVrwIYtEvFkYuMSis+AcM1eVmZiIuWclYqiLLHj677ZL9+tEdCh5 +08LimAfjyE7mCt5TaJe3Q4Jv+TwELUsNL3E4hdn3s86pCc7DvKVawN2Lp/BV +Pbud4yryfLt+s8aXUzhsIXXyhMw8PN0/OaOqfBqtzul4vFSaB2Wh3+fLg0+j +kWsii1tzHh7/qitprTqNkbGbL/vozEPDgvP9dJ4kTF7I96gxnAdr4Ufxi+5J ++E698tDqjfNQtPh8u1ppEnapVHPetpiHz7X5w2LzSXjw2aTTWtt5WGZbtavX +6QzOuNw40eA0D2dOv/U5XnIG2/c7vPFzn4csp9WcIktnUFcjyUN45zy88r6y +cMsrGctCJPe3+c2DlTJftPWTZEzTFlibe2AeLqQzN3GKncVY3gc/QsLmIWyS +dnsq4izmnM165hY1DwlpuY8ke8/i0dg7U7Yn5iFz6+ulLLMUDPphWe9wZh4c +dfb2h5ak4D5j9QO70ggzojxeCZ7DLZbnNU5cmoeQwRerr8WfwyZ7o4338+dh +t2/OmMTEOaz4EDM0WTwPty/dn7HanYp7Op0OmP03D/oaC5Ebu1JR/ZrXisKH +86D9L7BAxOE8tmsxhfmr5iEpYsWRX2/Oo4fQjjfpdfOgelCBo9EyDQ+tTg5V +eDsPEbqn93U0pqFUX+jOV+3zoMEm2apml46LDJ6+yM/zYDfUd+b7x3T8mGln +atY/D1X1PdLiOy/g4A6PllXD89Cty+ExNXYBR/6dHGCbIvuz4/JMPp6B7JZ7 +e5Zo8zClxtf5b3kmuqyY4xRamodmtvBr5p6Z+Ni/8JUhzwL87drdc/F2JgbE +eR05LLAA0iJz2SuZmWhbWR1WLb4AO5nqra8cLmLIe3FVWYUFaBUa29FSfBFl +N12ezdJYgDsxTDHj+Yso8NF5s4LuArR3Xe5QcM9CvfSQUw2mC+DAoxV7rSIL +MzhtlGItFuCXZ4fUe5FLGCIWddHOfgHkZ3mm6o5dQg47ITvd7QsQGeITnff1 +Ejp+fNigs3MBauWOXDxilY0iG8ujrQMXQCjA4viBh9nYK248HRGyAGlsbWxF +CpdxLD6hrCZqAZzCtscYZ13GH9UzBoqJC2Cqr0dzXpaDUoZbpApTF+Be9Vkn +4VM5mFn4YcIwewHCdLu3FP/LwXc1WdZ/ChdANKmkTDMxF6d6U+uelS5AeXpq +UCdPHgZQ+hZuPloAX/P02veZeRghv7y4/MUCvHvv5GOlcAV1/m306X6zAIq6 +4ikhFVdwtjnum8zHBVj0W+l+0j4fs4fo3xL7FiA6fKb5/kg+Pk23l1k2tADc +E5fETFOvIuZ+2PlgegGWLkW/89YvwKr68cPR8wsgY2a1ITy1ANn+/28R/g8Y +X2yk + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJw9l3k4Vd37xilK9cqYBiWJkClDpfFZhjJlSBIqISWFzDIWGUPGRMkYEqXI +XEJkKpGEIkPhLSna5xzj4be/v/Z6/+q6r/u+P2s5135aa22xumx4bgkLCwuN +lYXlf/9yNLP90bL4DhJm5bs7mgn45P8rqcKYDitUS3Zx/CQg/u2nxmLjYfAS +UTWXekWA8Y2+fTGTg6DM7al6qJKAK9Y29+Mm26Ez0W565j4B5z1EHGMnJyGv +7DDvuSECpO7fNDtiMQPqS+0FXecJuM2rRHeQ+QL8sptW6RRh3QoLwfb6WqlY +/4L1F7a+y+ok4O/+euAz76eOkcd4P52wcY0S8s0j4PrArfhnxmvQ9LPOQJYE +GoQdze+On2RFV2s32b0UooHfsaETWhbrkXmkukLrExp8YWH5GDPJg/R+Z8k+ +8KRRfXbE/A7ehYo0CBT7XW0vsxoFzKcK8p6hgURhmKGahSSy9i7+7qdMp/Ji +KCQkX06Bn07xtiDmY51s6Qka9L7WeO0iswDbl241kluNeUKoTSI7fl8bjfo9 +VqCQbosq0ML+QfSRqJVv4GTAB2/lHm2LPSgm9pSlRT+d8vWQ9D7/ezxd2NdC +31irTeUzGJQvi0bMDwS7n8H7OYoiub5t1uGcghNvfnQUGR9Hgn8yJG0OTVG+ +PPp5cvOVsDCcV0FpA6n9ngcYcLEpYkrTwhSJdUjo+Prh/iF07GeLHttlBsjK +q94uNd6Jym9Hz1QV0aHWL6G42NgNGcVFihorzoCK7LeKIxa2yOB3pK6Q0zS1 +P3PESFQeuFc2RWkH1EyL3Db0ZBqUJkqWaVp4op4+Ubt/3Gco3jkk3plgF6Iw +Te3PCWnBDrGrk9OUH4QWf92oY1GfpXxLZPu19SRBm4K9UW8ttC3CkOnjNWLb +bsxS6/mhKWVx+8nyGSrvjzZt/U0kLcxQ/k1UKhhb1d2GeTHIkGVC6PXaORBi +lzKq9C4CV5uCe6EhBMz+EvxXwuoJrNI3tdkeRMAl7s7i0sjPQDNRfro2B/tt +kN9UdcsxiZwXKet1xZGVYKpazuYWjnULHNrH7hkUT0D63Vk+J6lS4CvookuG +EbBCuKKkzPsVoIjtqgI3CWg516vnLtUFw2eb13Sk43wDLNkuccoghoC4WGf2 +Cu8OKHtWV6p+D69fDRX/vuyNjyCA60NEkJTVAPid5ll97BEBApKq9ZelRsGq +pKzbqoqA4uKXSMJqAkoeNmt9bydAz1TAvNybgOGE9b5jX3B+Ck6f3k/4/8T+ +UgTClhyuW2jwwONrxnPvryDiKNywrBj/HmOwaqWUcEEDATx/ljs9i5yDAhbu +2pE5zFuOnA+onndVolHrs6BTr0o8eDhpcKbYfvRR5Cr0RLchV0ybRq23FU3Z +zT8/Oo3zwujVcXY7zi4aOGlwrXSRWovy3fnXyCfR4KC/A19JpCC6ky5mK1WK ++3zIY32YRq0PDa4OrqY5SImjNpaJrzwb6RRvBxrZxJTWsKVTeUV0WmODdngs +neJJIU6XzVMiqnSqvxtFMNS56C9wnxvtLrq7NNGKBhp6DhzPIveheZd/Rht/ +0OEKP9eio5QG8ojIO5nszaD4x9AbtlsNJ9dPUX2EPlY/HT2znkFpA7QuQndw +yVcG7H7mIFQWqYM4x53tHj3GfTWk1cIpVq7FgGalX0uKIk+igns3fHTCpqj1 +TqBj/EKsyQZY26DRj/9kL+6ZpvgWSJRF4af8qynwd30cXRx5CSWW7T6c7T5N +8c+ike+Hm8QX8P4ckTebS1R/EfZdkBHPnQmhP9NwaVQ1QkGsEFq5OQ899CNg ++Z7GN8Lx9aBpIPH2cygB+qdCuPRyy0GpyIvV25/8Hsc9a9QCU2BAPzVWn/zO +hHct+hnkNkHovKGlRzjO50JO7C8HNV+crwIZ2fAx9kACrIK6xwXji8Gip0C2 +9BoBB2oq5pTEMsBsn960Gsk79mHhlaJYLVgdzieeBeF8FuxutA/S9cG8x/Au +Vkmhk+RvY6kKUw38Bez9XLO99Xg/PbDb0b0uh5ynbY/dFXeJvQeLzIy8/bE4 +/wW2X7XeVZVJQH+fsISi2BAEW/pmE7kEeCVuLNkQTwceOrPUoR/rThBucVZL +TcT5P2D5bS405D153p7LddHN/Q7NV2V0tJ/j/DBIVtzhLikk562eeUojdwYG +hV+tcBsn4FmabZpmYCvs2hn+5gH5/8OirtGMXu4KVLXlTJPGHhrUXHCu2RTP +jo4cZFVatpUGF0Q1iPXxaxDL8qv7NQNp1PpLENcyUcdd3DTq71kA55xu9wYm +/vtWowehflNnDXBeBP0QGD8fOIg1LyoSLua3t6VR669HnhpfJZPSMU8ITdU5 +R2+spsH7vIO8urmSqHHohHqhBJ3ajxg6NZnjKM5Gp/Ky6HBVzHIlfTrFV0Dv +xwdeHPOgw/YJ2wGD3D0IaWyL4XiL8wfRlx2rrPbN4rwq4rBR3LZSkgHxr099 +EozfifZaGjc9SadT+hCqYbu/0t2UQeUNUdEjR6HWPwyo/FQkdCRXC3HJn270 +Dcf942i492uOjMQUtZ4emvBgFFyqYoDz8M2rermmaJhd2znHfIriWZG/b+9a +o1acN0cbjoVpCCVMwasR9vh0vlvQ5fTz3X1n8j5zq4pPsjwGPFkUHmU7EeDk +9HR/dOs9KE+5xTpP+uwlnS9T+LJAybEs+LULAfvSBfMCuZPgDN1eeNQJ99Oh +sbU3fJkr1k9hp2xgZKw7zueCbenDiStumP8IrEfC7Q1JXy5jkDuu9QUsfTot +V0jOS8kSn2M3uMshtpU/IMuTAOvWcck0vmLoP6rd736FgPr6X6NS5TXg/IJo +DCPnZcvipoUMvnr4PeQXH3IN897CRs49aF0wATtrB11T+Tphw8XDx5OjCOgL +XapynbsJdmc2pqLrBPSEFppLlLdDaWB5s9gN7PeActxiSyR5HqqeywqJau0D +euVh9Q13cH4QhlZsCXRNx/xhyGOyjwnl4v536JR+23GLnBfbMWm30NZxqNC+ +Z1LxHPcn4Veq69SjRgLKrqsdiWllQoKx6otCAvPosNJAdmFvJ86zoqd8Yqzz +bDRorofmYO4Z2CQ3fz7gK86zoxbz01nh62gUjxOltNXweqnTIN3zmXkA9wrU +32kpHi9Do3g86OeP7RU7TmOfnJdg2b6KeBrFW4NWJtv8ZnrQIKvPVyCqdRNa +UBGNWV1EnnebveIDuSWR3B/6pbz1dIq3BSHDOWHvDtzfiWT5WdsuRGNfHgkE +NJxTtaFTvhiq659P/kSnwVvJFQFxrTKoeLRdyw5wXgWNiY+y3FjDoPKHUMqX +HOVBdQa1/h608UO1xa5KOqW1kHUDd5qZGwPurrw7F9l6AFlFRTHvj9JBccP7 +quhWXRQ3bcaykM2g+EeRN6yOetPDALZDfLeF94eA8YfM9ERbAn4I5VZGp4fD +Kra24f9pU7koxdqwOEhwbFKstMW/NzmPPRcDgsn7rMz06WaGfTR0r+iwnCf9 +iEy1ZZHpd0H4yA9Zu4sExb8N4tn7fSxI/TefBn1bjYUfX8L8TCCG5ng6SL3X +kjFwMz0PkpnrFFrtCQh3eXV11v4JqCTmBHxywLwcqOoUME+zI+dtXGV1XVgR +7J/Ij1jqSJ4v1VeOiO4vhTrF0E4Pcj6Tek8mxKZXgoHPY7SNnF/jJLY+un01 +SLTGCoe6Yt0Gq2+5fLlKzo/1kntEZHoLlBTUC9zyxfxXkDNg8D7VgwDpkfLc +zfsbYEcEo3mMnM/xq0PPa8I6YK+MbN2vQOx3gQzfIYfsMMz7DFH1y3xmo/B6 +A9Aeeu6sTgL5/Wdt3fAi7Ct8Cjgs9pk835yWWctO20+A+ew127IKzBuFmXYp +9mfZmDcGHt4KmY+fYD0Hn6a7ynW+4fwUJK9Ws1tOzo/3rtjhWnIflT9l5hLJ ++x9XVb4m3Z4FifiY2P5Dx/nlqGFAPHFKkEbllyLrd21rE5bTQDu2xLkmjA/d +qD4pcP0sjVpvFTovHZQ0L0+j+muRgLjmYKEfjeJzo+Plb3mStHBeEG38IiCX +n0wDZBVaybAXRmH/aHzLrcR9cXS6t2x3+SIN8j7Zm9SFbUXR0i8nuntxfgfK +4VS79EibTvGk0GJPS9clUTrV340SlX87HU6mg3y1Znl1mCL6wCkwW+mM8/tQ +sWqzo20DneIhNGd63baFwH0N9OJO1JiGAQMu634OrQ1TQ+zrwyd9tzCovg6S +Oue1VOoaA1qLX3p4RF4HmYUQvSuWBJw5Z3ogFIXACcUTBrdIPazz8V1Tdjgs +0pwkW0jNnBd4wut0DU7WtWws+U9Hw5v6TPn3pJ5xHu9yjYyD1dKF2YZWmHcb +1vFVnoyzwry7IH1C0iH4LO6nwTsFsdZGUp+N/yjuHpkJiw6Rob3W5HtljOkT +iXJAeJ2QqcE5AipuPrj8JjsPKg/yW38nNUPNcTwYlYKOkcza5eQ87u560HAl +sgieMdaZKl0g4D1811/j9ASkVNh2M87jfiWsSTs9EkHOp6adCAevUzU8VDnZ +aETO5+OlQ1fdIl/BYMex3vDLmN8AxIeq2bXOON8Gucs2MrnIeZGrHBRvym6B +ePUjbh5uuN8Bl9xj3Vx9cb8LPPlLzaQDcH8AHMuVezTJ+9W1tbt33kCj0P2x +2c8rhYBN/EaJtdmfIah64CQzBPO+wioNPifiFu5PQGoFc06tCPsECE49iHZ7 +Sa4nWt/SnD0GVT8uLtv3gAC+KD/BYDQFjoY+A7/fYH8O2K0KLRY/Yx4Lsv+4 +d1/1T8xbiqp7HI9qL+L+csRo9z+sxUeDlwP/VjVmr0Kj1/5dvVeSRuX5kFH8 +3PEEM/L7t03vfpMtiJwGCkzk4mgUnxutfVspsEGFBlodZhKhaC3aq+c2NOGG +tTi6dF7B8g4d54XR7ehjkaqFNMis8ipryJZCCp/8oIg8n/6utxVl7hFVm3+P +8zvQnc0GXsHkefOXtxvFzBaib1F0GOW7qdmcvQ+tD9AuX1tBp/IIyajtD745 +jHmKaI3jii0rbbBWQ24hY7/FeBlw4Nuk4WzIFXBid1I6b0qA8g9BdyVpX2DZ +xW4bQGq/f07Lp5j4Q6u/1/dX/+kYcE/4NWVkRn7Pcg993qUFAtvSX2v7Sf8v +LxQaGm1aOkjd/6IqfId0JPC8zv3Oaob9RPid192EThKwymj8moL0PUia27zi +0UnMi4eO9c5RU2S+S7lCMMMkHazuN186doqA6Ppup/a0+2D1ezQsh9QJ3PoH +FkIewNfdq6/8exr7z8BR6jxPswUBEklmJjMhZUBT24k0yPm8UFO/657JU0i9 +JteWc4b8//ia9qVd0o9gy039EiNz7NdAc/yY63lynugcxsHy0i9gn1j/wEpr +zGsEUauIB9bkfHWHmS+2ptVB+xLbsZALOP8WapMJ8xMOmNcOMipB3m7kfNny +XtzQnPYBMrs43DrcMa+bnC+bl6bk+0qYCbmpJoMgIjS6dzEU88bhxD5PFb9M +rPsgpqXLqccf9/+F5AdlQvZJ5Psm565yW9o3MFnmzOUTTb6HFMTvJJtMQvf5 ++vc5j7FPg5bfNYJQifvTMAgfi3c3YT4T1l7OqGnuJsBSletpaxobijVn7Xg+ +j3msaDi1QGbXD9znQHubnQ568ZD3o9tFW1JMeJDV/PPLxUCD5ZwS1e1p/Eiy +jzFcY0qj+JwonXfz9Kg41ptQ+ztwmYjF/S3oG3vdwClyPv7yJZDa5VzPPnJ+ +yri0xt+miaKJzB2Vah3YX4dcdJtl7d1wXx45nZA1aCfn5S9fBiUPDOeLbqDD +mZtlH9+lKSFPV+30+fPYP4Bipk/JCpfTKZ4y6rPPNQ8i50vRX35t0IgX5Pit +v+NwlADdqLc219ivg20K3WKW1H/9G/D8YEGXgyF5n8pS5vBjXgUfwz032v/L +u0BBbzC/G6lP6IymdaUEQ17GhxvvSE1X3vrwU4o7BPus/Ob5Xz4Osllnhh7/ +x4uCD7Mupkmkloxz5fFnpoKL0/DVoWMEjPmscLrOngncDeIZ94zI96dqkFhP +SgLcle5ds570L5/KlQwfuQODGT/ueZC6Tq5GtjclG3JfDbq6HCe//xtxsddH +HoLhUzirZEyeX3F+WVfZi0BDavm8vwlerwBCM+RerjhBwMvDu852p5SAyPLJ +z5OmuF8BZd9F3B3J+RV9+P2QL/MlmBhLNfiexrxXcP5ZhUnnGdx/DUEbxkVF +rbD+CO3L9ZvjnDCvGYRrItRvkuffuu6Ox27Md1BS6nOUeQHzOkDzk9fOX+R9 +8qKLkHnIyCdImZnO1PPA/lfgaXLgrCXvd9lCBVJXmf2wGH0vO9QXrzcCnx+8 +eTgXQYBI25PUgJEfML/jT0BMAs7/hhyhvEmZdOzPQpCGwZuFRtxnQFN7UbMS +ed9bonvljQ9zEYKWXruyqwevT97bJO+7MvKxXoomle58sxzDmg8dto2I0yDf +O395y5CKYL41C3kevU4fXQgcWYnmLdp1tPhpoDMxfMOfyYXY92yezpKiUf4G +tK/f2NzKm0bxtqKM4llrlXLME0C0bT8tp82x3oakZnWsKz/RYMe33mRv5mYk ++iLS9XQSDfZfHIzzY8qhA4uHNQRE6BRPESUtVG35qkGn1tuOYhzs7ZKZmLcL +HTWKOT7nQIeGpi9GHywdoOGuuIG+FgExlte9ar3doKUGLjuR2q6GV6eS2xl+ +Wdq125D6b94PWsZ0ty2S2nhvl6JphCfk0VceS/+vHwTLjFyNOLSxHwYi471s +ZqT+ebuEv4I7FiTUuzWHtTHvJuRXKVXeJ7Wdg9mXMu4A2Lo6NPwdyTOKjEo7 +GZEEEediqgN0yPNhOe1Yg/ct2Bc8zX2K1A2X9WV7LFOgfPujBv4jBPAqi6vX +eGdBBV+FlKEuOV8/HPyfc2eAT2Fs/MgRzMuFvWVc4TOkr5kWINRh+Rg2WmkF +iejjfjGUXmpel0jOs8z1UM9y7lrIKtXnajTGuhACwvzvXjLA/Sp4kfplzbwR +7teD+s7P23LJ+YoXy000iSiHoUWun58Mcf89nLl2HpWfxf1WYOyJEnlKztda +495Qw4gmGD4T/VqFPB/bUzmP1Hl3QoxBk5nWBZz/AvtvH1AJJt9X7qbJG80i +euCIzNvW8/aYPwSsSfUFZV4EbEmRCaj2pkPAbOXI6COsh+HoDt/82wGY9wv+ +XaFr3HUL876Dl0DH8bBwzPsDa5jyFirpWC9Bmx9ubjLrIyDFJH+3ScQM+DbU +WCo+x7wF+Ca27Y8YeZ/TNYtgPRWxAk0KS7ousNFgJmWTTa03O5J/mfzTaALn +V6NyHh05e/I99JfPi1T0z1QGKdJAwUTp0ImI9SjRr8aGwxb316BC7XYrZ12c +F0GtvJJ7D2bRKJ4QemfqJwbBOC+GBvuflD6rJ983phaZphGSyHZX3IuGURr8 +ZF8T0dt5ASSlIyTsVPB+ZNHGz+bL96yiU3wFNO16Lqhfjpwv0+qcJ1FO8Ljv +TOZtMm/357SH7pArbLvfFzxI6p/MpdIdofYguzGKJ+V/+v/5V+CjcqPhDKnZ +7JV3vgv1hWBm+XN+VYLi+YNNzN7brKqYFwjexjXWpaq4HwpCGj9uPiL1lZ0p +O9pDI0FCsWPhOak7EwYCBjoTwahGP6tCjYC3P8JTnkXFQLWl3E8m6X+peOWs +PxQPW/XbVoqqYX0fTlykayUcIiDPjfNhQVQ6rBzgoI2rY/0Uis9UPtyuSUDR +FqubnzsfQNIrvzaJwwRYvLYV7wy9B7/bxS2tyfzBo2MKbaGPYE5dfReT9PWu +BU4fGXoGedlbbXy1sP8CfPOT+cOPYH4NLLhbP6zQw/wyeNBgdX1WG+tGyEn/ +Ol9HnnfSq5axaQ7VQUd/0c6tRzHvLchZ3z187gTOd8OhDzs0rpP3u4RN93fq +DX0Aufc56fnkPO1/ckS0MKodNlXyNimQ59uyHN9VBVGD0LVif6eXE85/A4GN +GSq6npjfB28zCs6FXsSaCbcWao//rsbr/QtpGxJy88n723zi/twjQ+R31zZa +55+J+ZNg7py+TeM27o/DQ5HX6izkeZUuNXz7SRQrEiw1i/23HfOm4fIZvrmE +pwQoZKyq1R9iQ5NNTD3Xb9jnQCE6g3M105jHiTQ5jt3NWU2j/HUoYlD9eif5 +vvnL50H8IbYzaBsNCj5yfNUZ4kd6sS/j48n7nOP+G+91h0RRAjfHg6PFNIq3 +CUWjBpvjHljLoIos1T6YwXwJpO6j2Hr7I+ZvQQLPrbwTb9Hg/wAy1Wvo + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 1.22265}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1300}, {1.22, 1.75}}, + PlotRangeClipping->True, + PlotRangePadding->{{0, 0}, {0, 0}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.71425398741232*^9, 3.714254043061407*^9}, + 3.714254073991085*^9, {3.714254126500804*^9, 3.714254147404223*^9}, + 3.7142544887654533`*^9, {3.714254561554706*^9, 3.714254573654634*^9}, { + 3.7142546289379387`*^9, 3.714254695623906*^9}, 3.7142551123343973`*^9, + 3.714393618323738*^9, 3.714393685657749*^9, 3.7143937466169157`*^9, { + 3.714393777573605*^9, 3.714393805653455*^9}, 3.714806784231585*^9, + 3.7148074572881613`*^9, 3.7148087044817057`*^9, 3.714809089134021*^9, + 3.714830502018724*^9, {3.714831646222509*^9, 3.714831657107243*^9}, + 3.714831800997868*^9, 3.714833060836087*^9, 3.714835117877409*^9, + 3.714836054773896*^9, 3.714836332648387*^9, 3.7148363942998753`*^9, + 3.714837437799202*^9, {3.7148377294221067`*^9, 3.714837756637006*^9}, + 3.7148395004069643`*^9, {3.714839931209778*^9, 3.714839993182786*^9}, + 3.714840024665745*^9, 3.714840757038682*^9, 3.714862653542861*^9, + 3.714862705599581*^9, 3.714862745224374*^9, 3.714863066907661*^9, + 3.714863181424206*^9, 3.7148658178761387`*^9, 3.714865878050193*^9, + 3.714865942261485*^9, 3.7148661039636803`*^9, {3.714906907358387*^9, + 3.714906969499626*^9}, 3.71490723455093*^9, 3.714992966088601*^9, + 3.714993481659814*^9, 3.715473507695345*^9, + 3.7154736225648108`*^9},ExpressionUUID->"1294212e-2d8f-4df4-b167-\ +bcb38ead822f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ysave2", "=", + RowBox[{ + RowBox[{"ysave", "/.", + RowBox[{"\[Theta]c", "->", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}]}]}], "/.", + "sol4"}]}]], "Input", + CellChangeTimes->{{3.71475673834993*^9, 3.714756740732313*^9}, { + 3.7147569906872168`*^9, 3.714756991974579*^9}, {3.714806857716696*^9, + 3.714806857835928*^9}, {3.714807724394093*^9, 3.714807731714316*^9}, { + 3.714808955303514*^9, 3.714808965343062*^9}, {3.714809205035985*^9, + 3.714809220747414*^9}, {3.714862687354288*^9, 3.714862687465536*^9}, { + 3.714907237151805*^9, 3.714907237239294*^9}, {3.714993483623148*^9, + 3.7149934837930403`*^9}, {3.715473521648508*^9, + 3.715473547448873*^9}},ExpressionUUID->"ab7af098-bc8c-48d0-8604-\ +0c9a0bafab8c"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + "0.30479542279096705`", ",", "4.493588311955866`", ",", + "61.869129385885735`", ",", "1536.7699282069975`", ",", + "51406.13535389681`", ",", "2.0133795686073152`*^6", ",", + "9.012367146741723`*^7", ",", "4.538419292984816`*^9", ",", + "2.5393808978231244`*^11", ",", "1.562945250478775`*^13", ",", + "1.049417356270469`*^15", ",", "7.633343860976832`*^16"}], "}"}]], "Output",\ + + CellChangeTimes->{ + 3.7147567410585213`*^9, 3.714756992546587*^9, 3.714806728712491*^9, + 3.7148068581872396`*^9, 3.714807676119606*^9, {3.714807724872628*^9, + 3.714807733016789*^9}, {3.71480895607714*^9, 3.714808965653799*^9}, { + 3.714809205674447*^9, 3.7148092210457706`*^9}, 3.714830981700396*^9, + 3.714836844657175*^9, 3.7148626548087378`*^9, {3.714862687908442*^9, + 3.714862706469153*^9}, 3.714862746153159*^9, 3.714863067708495*^9, + 3.714863182871723*^9, 3.714865818728653*^9, 3.714865878213573*^9, + 3.7148659430201674`*^9, 3.714866105039057*^9, {3.7149069103027678`*^9, + 3.714906970443513*^9}, 3.7149072376029587`*^9, 3.714992967875737*^9, + 3.714993485758379*^9, {3.715473527695506*^9, + 3.715473553639083*^9}},ExpressionUUID->"b13e82e2-4e35-4917-aac5-\ +af2777b2bbaa"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"yy2", "=", + RowBox[{ + RowBox[{ + RowBox[{"yy1", "/.", + RowBox[{"\[Theta]c", "->", + RowBox[{"(", + RowBox[{"1", "+", + RowBox[{"Exp", "[", "xc", "]"}]}], ")"}]}]}], "/.", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Derivative", "[", "m_", "]"}], "[", "y", "]"}], "[", "_", + "]"}], "\[RuleDelayed]", + RowBox[{ + RowBox[{"m", "!"}], + RowBox[{"ysave2", "[", + RowBox[{"[", + RowBox[{"m", "+", "1"}], "]"}], "]"}]}]}], ",", + RowBox[{ + RowBox[{"y", "[", "x_", "]"}], "\[RuleDelayed]", + RowBox[{"ysave2", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}]}], "/.", + "sol4"}]}]], "Input", + CellChangeTimes->{{3.714757114551498*^9, 3.714757118639502*^9}, { + 3.714806862165043*^9, 3.714806862268298*^9}, {3.714807726915642*^9, + 3.7148077351230183`*^9}, {3.714808950711543*^9, 3.714808968350219*^9}, { + 3.7148092086525373`*^9, 3.714809223996085*^9}, {3.7148626846920967`*^9, + 3.71486268497886*^9}, {3.714907240520297*^9, 3.714907240607555*^9}, { + 3.714993486410479*^9, 3.714993486532962*^9}, {3.715473527296673*^9, + 3.715473544920722*^9}},ExpressionUUID->"c3a7c24d-ed73-4c46-9676-\ +f0adcf51eea4"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.025536974521879297`", ",", + RowBox[{"-", "0.01762155820793924`"}], ",", "0.017961054818816345`", ",", + RowBox[{"-", "0.023329050399977368`"}], ",", "0.035192264567139586`", ",", + + RowBox[{"-", "0.05816201618009412`"}], ",", "0.10195501736882451`"}], + "}"}]], "Output", + CellChangeTimes->{ + 3.71477901399013*^9, 3.71480673059066*^9, 3.714806862701418*^9, + 3.714807677595922*^9, {3.714807727445833*^9, 3.7148077355298643`*^9}, { + 3.714808951442019*^9, 3.7148089686904917`*^9}, {3.714809209175044*^9, + 3.7148092244041224`*^9}, 3.714830983386425*^9, 3.714836848165016*^9, + 3.7148626556760397`*^9, {3.714862688599277*^9, 3.714862707425961*^9}, + 3.714862747017076*^9, 3.714863068275054*^9, 3.714863184422464*^9, + 3.7148658196662607`*^9, 3.714865878928565*^9, 3.714865943943626*^9, + 3.7148661057452383`*^9, {3.714906910760145*^9, 3.71490697150111*^9}, + 3.714907241156765*^9, 3.714992970455934*^9, 3.7149934888284607`*^9, { + 3.715473535060354*^9, + 3.7154735583353662`*^9}},ExpressionUUID->"f37cba55-20e1-4f5c-b3e7-\ +757ebfbcc784"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"#", + RowBox[{"(", + RowBox[{"#", "+", "1"}], ")"}]}], "&"}], "/@", + RowBox[{"Range", "[", "7", "]"}]}], ")"}]}], + RowBox[{ + RowBox[{"Gs2Cs", "[", "Gls", "]"}], "[", + RowBox[{"[", + RowBox[{"2", ";;"}], "]"}], "]"}]}], "]"}], ",", + RowBox[{"Abs", "[", "yy2", "]"}], ",", + RowBox[{"Abs", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]series", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "#", + "]"}], "&"}], "/@", + RowBox[{"(", + RowBox[{ + RowBox[{"Range", "[", "7", "]"}], "-", "1"}], ")"}]}], "]"}]}], "}"}], + "]"}]], "Input", + CellChangeTimes->{{3.714397130193721*^9, 3.714397156754507*^9}, { + 3.714401420222559*^9, 3.714401435542419*^9}, {3.7147400059859953`*^9, + 3.714740013317212*^9}, {3.714779019835246*^9, 3.7147790236354313`*^9}, { + 3.7148070307042303`*^9, 3.714807066415826*^9}, {3.715410919987694*^9, + 3.715410942996112*^9}},ExpressionUUID->"4c3c02a3-3243-4ffb-8eb6-\ +cbb97d8515f0"], + +Cell[BoxData[ + GraphicsBox[{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., -3.667627895775339}, {2., -4.038632228335453}, { + 3., -4.019549486272981}, {4., -3.7580558967360895`}, { + 5., -3.3147273608071934`}, {6., -2.722685060186863}, { + 7., -2.0035229726701376`}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., -3.6676278957753357`}, {2., -4.038632228335398}, { + 3., -4.019549486272784}, {4., -3.758055896735722}, { + 5., -3.3469289771434614`}, {6., -2.844522780262575}, { + 7., -2.2832235691576894`}}]}, + {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.012833333333333334`], + AbsoluteThickness[1.6], + PointBox[{{1., -3.6676278957753397`}, {2., -4.646668183716103}, { + 3., -5.338026399205085}, {4., -5.806241063379858}, { + 5., -6.0921341707606755`}, {6., -6.223876598314235}, { + 7., -6.222087633243273}}]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0., -6.530192587272277}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0., 7.}, {-6.458340688627797, -2.0035229726701376`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + TagBox[ + InterpretationBox["\"0.050\"", 0.05, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.4054651081081644, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{ + 3.714740013729273*^9, {3.714779016092326*^9, 3.714779023940958*^9}, + 3.714806732903997*^9, 3.7148068647733803`*^9, 3.714807066951405*^9, + 3.714807678966655*^9, {3.7148077287353783`*^9, 3.7148077379434757`*^9}, { + 3.7148089588534193`*^9, 3.714808970053562*^9}, {3.7148092108135777`*^9, + 3.714809225878975*^9}, 3.714830983950481*^9, 3.714836849826356*^9, + 3.714862656238078*^9, {3.7148626890323343`*^9, 3.7148627076539173`*^9}, + 3.714862747461363*^9, 3.714863068753543*^9, 3.7148631864026203`*^9, + 3.7148658203011723`*^9, 3.7148658793114023`*^9, 3.714865944416368*^9, + 3.714866106227007*^9, {3.7149069109587317`*^9, 3.714906972088879*^9}, + 3.7149072417429943`*^9, 3.714992971237383*^9, 3.714993489211615*^9, { + 3.715410921822714*^9, 3.715410943443071*^9}, {3.715473535185094*^9, + 3.715473558376501*^9}},ExpressionUUID->"8287c860-f5f4-4d56-a642-\ +91d5d5a5d4e2"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol3", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "2"}], "]"}], "]"}]}], "]"}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol2"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", "0"}], "}"}]}], "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "5", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "10000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"(", + RowBox[{"\[Theta]c", "/.", "sol2"}], ")"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "3", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714835128182406*^9, + 3.7148351701917686`*^9}, {3.7148352113368464`*^9, 3.714835352474739*^9}, { + 3.714836559965501*^9, 3.714836605646779*^9}, {3.714837576200902*^9, + 3.714837617815027*^9}, {3.714837653153191*^9, 3.7148376671116743`*^9}, { + 3.714837785171094*^9, 3.71483778705781*^9}, {3.714839648216301*^9, + 3.7148396831174917`*^9}, {3.714840779370905*^9, + 3.714840779569083*^9}},ExpressionUUID->"f04e4a35-a6d1-49b2-80f5-\ +1d47bf0a3a8c"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "428.07470599260796`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.8833648521629327`"}]}], ",", + RowBox[{"h0", "\[Rule]", "127.02030176710423`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "1.6709657413815093`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", "0.6914943496995957`"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.03`"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.714830247999181*^9, {3.71483038021819*^9, 3.714830403949602*^9}, + 3.71483044066129*^9, {3.714830470737451*^9, 3.714830492622257*^9}, { + 3.714831558794394*^9, 3.7148315869655027`*^9}, 3.7148317884986687`*^9, + 3.714832869144842*^9, 3.714833045176977*^9, 3.7148349538360643`*^9, { + 3.7148349974025383`*^9, 3.71483502734721*^9}, 3.714835170512484*^9, { + 3.714835230592574*^9, 3.714835352841935*^9}, {3.7148365788199863`*^9, + 3.7148366136714897`*^9}, {3.714837601603104*^9, 3.714837693188035*^9}, { + 3.714837736625573*^9, 3.7148377873674917`*^9}, 3.714839683453143*^9, { + 3.714840058148574*^9, 3.714840060596877*^9}, {3.714840770115991*^9, + 3.714840780422347*^9}},ExpressionUUID->"d4e0a3b8-540b-4799-bd2d-\ +fd3769faf6ae"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], "[", + "\[Theta]", "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "-", ".1"}], "/.", "sol3"}], ",", + RowBox[{ + RowBox[{"\[Theta]c", "+", ".1"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714237144557452*^9, 3.7142371513264093`*^9}, { + 3.7142377005972347`*^9, 3.714237700870833*^9}, {3.714238528854445*^9, + 3.7142385303446693`*^9}, {3.7148352986581078`*^9, + 3.714835299112627*^9}},ExpressionUUID->"67e93b6d-ca85-46c3-804d-\ +77285706e361"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJw12Xc8ld8fAHBCQ5IGyihpmCkSaTgyK7KTpBJCZZURpUJIVkWKskIoI6TI ++phlZs9r3n2594ZQfZHf8cfvr/t6v845z3PO85zn8zmf191l62Z6bRUHB8cy +JwfHyu/xIsuGcVs22Hre4U7g/QHSxVuebLnIBu7r/75pd/4Ackli7rw5G5wV +Onc32rfB21KpzgFDNsQl6jzeMdcGIpXHRFM02XDkFUWo+HE7bKi3y5WXZQPx +wMPE2dgOmOn81KHzlwXfphorqkK6IK/7xLz0LxY86Lo+Jl7dBTd7v4vwsVgQ +Z5ddUvRfF5AHCHadYyzYvLHhZPLNbugb45q/3MCC3hfp3O3aPVDONhPxecWC +9Pv6j2L7esFnalj94nMW+ARbuB5a0weHZxzt1MNZwK971wWp9EHe3L0c7ocs +GNl3YmtOdB+8XUxTf+7AgiMLjAhxnX4I4Z21/XCYBUU3OuFy9ABo8j14HHmA +BVvaxK/9+ToAyxvW5rjLsMA3vMxj9/gA+GwSm1MRZ8HPb4lLygqDcHOb9uNa +bhZYV3ZPe9UOgvG+F9lDXUw40PxHrotAgAuFd9SlfzBhot5NdOMCAWzVL3Z4 +NDDhkL2HAofIEHhZSP7mrWACw5kxyXN+CF6H5GuqZTBhyujXRFnrEFCoLQOx +Pkxoyj6inJ43DOzb+c7jt5nAPxu38K5xGP78i1mWd2GC8q+yqJvkYeAVvri3 +7ioTNnNlqOhsH4GDegz3mTNMCD3rn6rnPwJ3M3nWGokz4UTHC0kp7VEIOsR4 +/VqYCQSDyQflF0chElr2Uzcxobt8zycJj1FI6Ysxu7+aCc7zQ1yWb0ehfo1k +cvbPSfgt9dw2emEUBJzUVdbWTIL6/aWKPrMxeCd9x77aYRLCXCd3zk+Ngf3D +Y4XRNpNAHK2XmPlvDCR7l5ftrCbhsJuJzCD3OCQ9Cn2z2nASnpc2n3DbNg5x +I/Gd+ocnIXb9XPEn9XEIe1Gu0cs1CVOzT3V6Ho+DO8cq8cmUCfhZH/C5dQMR +FM5/u1H+egJ6c3P/5goSgZUbVhL5YgJcRPKU/MWJcOPiFvODoROgPvtRaEGe +CHZf9oR7uU3ArU3aMYb6RLBw1vu7fGICdD9/Ug4LJsKx/oierQQGHM0UMpGf +JoKTbyAHVw8D5ucC/Jx/E+GliI/c9A8GbNvlW5e6RIQZa7uA1hoG8OmU8cys +I8GHcbX9IR8YkLBtDsQlSbBtkhr025cBb8+sbyo3JsHckoby4DYGxJYVnU/N +JIFkssqVhs0M2BGSXNWaQwJjDfmwL3wMaM+qyZ0uIEFOoPBYNAcD2A4/zHaX +k8B+DTtcn04HPiHhhwfaSdAp8IZUXkyHDInbp/7Mk+Dj7rnoZAs6wBc9q2xE +Blkjbfl5YzrkRzw/X6JFhvS7MfUG+nSgMyL0qvTIEN+h+OcvosMftw17qo3I +8Oih6yVzGTrUkpIaH18hw3kCTWrdIg0KHvOdO/iADMvRg+W339Jgu3dDz74S +MtytlLFofEODCcnTJqllZJhl+Pzc+ZIGa87eq9gOZGBoCEu2htFAsVLi0WI9 +GbrYZo+lPGnQdNziQXQXGTLPtJoM6dLAZPohgYdNBqNVVVQdJhU0i+XilSUo +8ODPz6OSVCpwHBVxuLebAnnsnU//jVJh9p2KYeU+CvATHqoWd1EhIlA/7Mh+ +CrR8QqHSZVRIHCQ5LKtR4NQ1kFkfRoX7M8myQ6YU0GiodG6XokLV6bTx/wIo +4F7JrsrZRQVKbmVrexAFkot2CD4RpcLm6JHItMcU+JfyoOLkRip0P5FIQpEU +KPdV5/80TwHH7o2hpnEUOCJX+TG2ngJbbI5l03IpoBhVMWNlRwGjMzzB7F48 +X369z8mXKKAe2DV2YoACsk/b75DPU2DJjforjEAByWekRRcDCkw9vGawY4yC +77tuTcBhCvBmGovLMigwG3tONHMNBdasjhvr/48CJYksrV/ZZNhl5UzMEKMC +yhWPDZ8lwbpTTVUvrKgg69OvzGKTgGep5dhlayoIacV0GzJIQHb4IbHvMhXY +/Wu3bh4hwZsGu4MFV6mQwD0bHfedBOnPTr0ucqLCfxebnr17TYLm5Wil295U ++Mx7JwI0SPCPLZjd/YwKck7tj35FEMHAdnvf02oqtCzdHBkMIcLVVr/zErVU +cI5Zo1bjT4TCcGf3j3VUyKtUZz/zJILl1nu3G79T4aBgrqWCNRFabz0mM1up +oFLzZP91OSLwlD4ZnxnA711Mq2+kcRxOzWxu4JmmgmX7Z9mm1eOQwzh8/IUo +DXSnPvzazjkOt6TMoEqMBocEUsqvL4xB+vl155jiNOA3DjNch+OOcQyhTEOC +BrVtl2+fGhgDbtmNz0b20EChbU3pt+wx2PrTU+jnfhrw/LhwutZ4DMx1t/td +RzSwf7XQ5nN4FCou/5T+eYUG750z+3bLjMJI6j+vBRsasE+ajf4QGwWFUjpl +tS0NfJgf2Hu4RyEr/KWiqD0Nwk9abejoHIH/xLY/VXOiQeFkyRkZ9xHoga2C +hu40WEbe9QMfhsF+9lEm4SENXtOnSo9KDOH1h9/LT6BBpemy386tQzhOXzF5 +nEgDYvkGxL12CBYJ++5fSqKBzHPZ2tafBLjP+71/TQoNStTsm22AACJ+eR/N +02jQG9ZHCLlMADZfl3nbexps2V+52JkwCNFL4jsNvtAg4la4+s3tA7DTzb7i +QSsNTk8ZDEvwD4DYzpfSu3/QYLUbv1/vqgFQ03cV+Y4d4Pz860lmPzSctYvZ +0E4Db8dXytugH9bFPyK96KTBlUtpsvX2/cBxIkQ7so8GSqfLhHbm90H3T0UV +qXEa9EtMsjt1e+F15+o9Ar/w+pVduV4c7QVBq/Sd6dj7Tk8Ln1PoBce9Kqmq +szTwuvVbo0+wFyzD7524NEeDzTVcMQRyD0w8udiT+psGBnZiquTAHhgeyWwT +xnEJ3p19OFfZDV7ntHiyuXEclM3fuE21C1zuruUP2UoHBzMqxwe5LohP8ts8 +jy3lJzZzTKILDir0lF8TpENWa2j3lXVdMLLuD5e2EB2y3a/GZxI6oUHN8uqi +MI6bXzbvVvXvBN0Ot0BrUTqUanqpWDR2gLdiVSphFx1arY5eenGxHcihAmMj ++3Ec3aZUp2jUDoXndp87qUAHyT4ZuTbNdpBBG13SsH3Mtv9dJ9sOr4MOhDgc +oIN23JTM8lQbRPEX2NIP0uHnXef4Htk2aH33mzl4CLdr2PsEJrUCoVDlvp8a +HeLLzXQrglsh7C85vQubfURr6x/nVvDLmPSUPYrbFSXzXY61QqhqOn8fNlty +jGbZ3wJftfbulz9Ohzge6/MHNreAqwfhyDd1OrCazFSGgpvgrn7Ji1ItOnDc +Wusb5tIEAtcf5vFo02GrcEXZkXNNcD/cyMcY+6jdvpOxe5pALipSjIIdsvBH +37C2EXYf4s3m1aWDhHzS1SqORtiY37yge4oOppH0iPR73+GAl4lmsAEdrh1K +bDO1+w4vhQPjv2H7DJhs5tT/Dk2rg9LXnKVD8t6yV5dEvoPy6xu9odjMishU +oa/f4BV3Tc5jQzoEs5VKQufrIdhJ9NgdnNdKjO6TnG/VwbmidTE7zOnwb0fc +aLlVHSyLePSZYmuzCwl82nXw4KP5UAh2ewS9K0eoDhidzVJsbHqjWR2zrBb0 +b7/4/vUcHYS1Zd85r66F1a5RR3XO08H7SJ+D85tqWMr75bTfig7la2Zsy4Oq +wU51w+gF7FV9fFf4XKsh1LRJOAQ7ykvzfI5GNfiqu3YMY2cU5uoxKVWgkSrg +GHaRDr3yQdLOB6uAM2SjTL81HW5o2nb3hVUAf8gHF90rdEhSSUp7d6ECRhR+ +uLhid8oO3vaQroBVpSypl9hHt5hu2vitHBLnrjaRsXnJJw11OcvBupzY+MAG +79/gXQ1Fd0rBYMdy1burdBjzvfQqULcUvG0NnRqxt7rGOxgLloLrx+dNTGw/ +i008zMKvcOGsQpWSLR0MpDg1d7NLoNfX8FYZNrNhrOy5fTF8jtL4DXb4/VaI +hV85VAyJztbmo9jmBZZW+1cVw9eXui7/sMvj2/80JH+BDJuSzmP2dIi4UXWY +g/AZhG+5uHzCludL+ehqUgRwPYEZe40OLkZX0vTVC4Az+oCNtCMdVr90pFgL +YJMONp3AThlyk3Il5oN/+tRfU+zu6/7Zz0Ly4fqBxg9+2J5rtRyzEz+Cz4/3 +pq3Y/Le/P4bKHCgV06i2c6LDyeW+9UTbHDif6RPmhe0ZQX/KvSYHHPmGtz/G +JmSsizttlA1DkyfD32NnEfSzukbfw0a53V8nV8brtDfQODLhQpOa7rXreHzn +mAHvuwy4c4Li6YGddWW6Xf50BoxcFLwRgM1/d/PArefvIINHOCsBm5BnzljY +lQ4QsdujfaX9+DWXHd/SgOzo0zuErdnoNa1xIw3cvnhzMFauR3r5N7gwFUSi +/bM4btDBa9vAOgGtt8AWOXZ6P3bWO0akEi0F8ufOElWxh5T+23QuPAWecspq +amIHvVZRVs5MhrkNBhYW2Du4y8xPNSTAP4249nsr7TuGrCMFEqDU51xKEPbk +kSX7Tss30PFmXiUSu8QFeVkz4nE9NVWSiG3SVxvrzvsKmj9tEijHzkD82iYW +L6HrotdsDfZipuWMYmosZFnypjZiZ/qwDH+pvYBQ+Q7L3pX2MdWlruAYiNZa +YzuEbXo6MLuoIxpuHrijTMRe2i681vv6cyg5xneYtdIeePWLxedn4LzusN3M +ynonsu1VOZ+Bx+pkq98r9/cOCJxWjATXnSfecdzE89MTGi1sDAdBC88/3NiL +wtnHPK+GwZ3pma3rsE2/ds/OP3sMD2ua3wtgLz25blIiHQJe/tKSW7GzrP7l ++lYFQf2nDjthbDO5GN5jlo9g7HaDqwj2vwUpx8WfATBVvUFLHPt9S3ltxWN/ +GIhOHdu5Mv5omsY/9QegWv9YT3KlP6Hlr7/rPbDfV3lnD7b5/flCriQfuH1L +99Y+7A87JJxDWr1A2WiXsjQ2R9XpveuWboOqhVGVDLbFVY+RcHl3qOPtEJTD +tuQ5ekC85AZQRzKU5bG5T0W+lRS+BvZKHWL7sW0Eq6WMmZehxtT4x4pLXjvy +XfxgBjr39pxWwJbQECM2t2vAVPfZyBVXdVuZ+rbsQyHeLa9X7P/hdPhaVQMU +ap9ya8V0o382vpcuINXnjZtWfIoip15sZIueD+ndW7l+Qmp/c8GUI7LcKpq3 +Mp+pK8EXcp67oLWzmh9W5pvKH+9hFn8LDe8BN1lsAxe30vbrnqjzxNN/K+ud +b9bhNDx6B72tLbSQwk6RFTvVzHsXgbSMz17sM09mok4R/JBN67TtbuxZWkNP +ffZD5Lm8XngXtlGaUdQu9QCU9Z/3ix3Y6Z2lijYZgciOrkgQxTZUfO4z7B2M +CigxdYLYaTaLomKjIaiYecRxM/afp45gpReK9vbIdPGvzJd9YnW/cDha4z6x +eg32b/H374X8I1DG4+Ifq1bmf3br2XP0SMSl33zlH95/C+fmTl+3foZ4e6uG +Z1f2I+vDm1CB58jbPbnpJ7ZxsA0rs+452mNd6T+B/a6o+RlVPgbpc305NYpt +tCW1z24pFqlHW+h9w7Y0V29trnqJFtmb6JXYtrGDNYeCXqHkX2dOFWN7C2/J +41ofj2YHZfQysZNEg4LStiWgGoKG+sr3m2UtcXf9UAJ6T3o6eBe7MLHczSM5 +Ed1qPKlyC/vbzjkrrX3JKINcKXcJ+/emT3HT29+i6dJcfiVsP6WAmHf33qKZ ++rR3+7A5zIyiLgy/RdIBhAURbN4Xk4+qU1KRWNgSZdVKPBHa4/ZcKh3NdQbl +t+F4pSsSq6N4OBMlbdwicgm7+aidBuVlJpL+V5t6Ftv4ouKx+D+Z6PiszcQJ +bKuE1oOc5VlIbJXuF3Fs1x2rxTo0P6Dv6ms1BnG8jZW8M+NunIuOaHoK6mGL +aOmw9hTmIvnRmieHsJPsttD7t+ShTT2R5TtX4nX6x2GNvjykoOd76TeO/5e3 +eNqvPZCPkvtrw9Owb8fmGPV/LkBKi+XRPx3w8zfTG3QlFaAaweCAAWz5TUR7 +nk2FyKjmu0otNjVC+K6ScyFa1ZU4G4t9ISgwPULyExI1+Fh+BFvDw/KvxtMi +9KNR9Y4Hzl/iir8e9ZUXIU39ocYL2P+xI/ldJ4pQCqc3EWEX3ajd/UbnMzIe +sb+2HlvaVsFwbuEzKvJRKEjG+XCjCXfae6ditHWduGUFzp9M/uT9Gi+LkXZ1 +Nk8KdkOLWklvbTFysY31CcQOPOXWyrWzBEWTjPJ0sefR4O9LPSXoz7ejli04 +X48o5Bts1ixFl446JbTg/J7DZz1/V7QCLW3LiE3B54Vxz6n3JIMK1K1IrPbB +FhoOumTwoALpLwRmGmM/zM2tEx+vQLeyPyYtX8bx03A5uiqjEokzBo5aYS/q +dQhzba9Cs/3yoqsu4e/niWfRqfRqlMu5dkF05XxUoc6/VF6NMqr5FScv0KFv +eq1TQU81shHbu6MUm88qUVRkTQ0qPb9f/Dy2l+y3wMnrNSjE6VJOpCWON83C +JlEHapH1kfOLTAt8fuUrY3WV1qEKXZs6DzMcH4SrOrd21SFj/SfVR7Ezd9UX +n5usQyTvNC9ObBuVtoA+0XpUnq2/KsoUn5+ukAQJfvWopefbhzQTOnwpXK9O +VP+GxOvaJKuN6PDA0jpqquY7ok2ILNTq02HQ9qqHIuE7Knzq/y4AW9XFwfL2 +r+/oRs1LLoQ9FeAuObu7ARmL2w2WnMHfa3bQl99BDUjw8vmfWafx9/AvZ+Sf +biNqmuFLvKuH8336ksKG5iYkLBmpRNKkw5HgBKuc8Sa0J/7k0QRsW4djIfp/ +mtB+3uOL5tifpX2Hn+xtRmoXXubVn6SDde5s+Gr/ZsQnTGxM08D548skfVm5 +BV0O9q4xxed3ncaB1JmkVhTfWTt9F9cD6r+t1jurtaO79zxDWbjeuN7pJJev +045yBXZlRWC/yPXWnzVpRwLx0c5y2Ay76HC/G+3IUpaP5Ijrlxftjesj37Qj +v0TNgCE5fD54f4Qvb6kd7aMbXCiSxvWDtdCGqeoO5HfTXkJckg6/qjv4Pc90 +Ibs80+DvW/D5IlTelHauC8mUZ1ywwBYyehxrdbUL+fd2d5I34/UPHRc76dOF +BBTmCjmwH8xnyvBndCGvtUV7lAVwvJF7oJ3F2Y0Uzw2lPOHD+euF7N2hkm6k +yWkXzML1naHDI4q2VC+KMLnlH4HrRY64e64PlHqRJuNnFA/2p0aP38UnetEP +Jk31Aa4vt+23Xydn3ot8lk9Zus7gevqX9v5NAb2oPmW8+fQUrmcDVnsND/ai ++2bbdFmTNEhKeMLtHdWH+CVFP5OJNGB1Pt2dOdePxEu3zAW30UDF7ZtKD+cA +spfVzunB9fGD9UunufgHUFBlRu8ebH7tG+5X9g2gFCGrR9UtNDj4WbtC+PwA +6lWsPTjbSAPPV38tQksGkIW5ip96HQ0WL9qFXb83iFwNV1XaldCAl6IyLcc5 +hP61vD7di+v9r86lUk/4htACt2/SBmyn2ROXqcJDSKS77ZJ2Ig2+cek0pygM +IdngjSL5b2gQKGn2TtB6CNkvddzzj6PBwhW3C8tfhpDC8Yt3uaNpwBzMrO50 +HkbiTN3Z2CAa/GjfFu3bP4JqvV3OVjvSYEvtoGkzeQRxmnwbKnWggeXnhC3i +0yOIo3gy5tM1/PziJWKr1o2ivnZH71Q7GszbSsetOTaKXvD7zHldocHOOdWk +2MRRNBDUIvnLggYlEXI9lopjaNxMTklDhwZrC86Me86PoXwbx6SpHTQY2Wlq +dnhxDK2SXvCvEadBUdSF+jnOcaQ3mnIrRowGV5yd3ntvGEf/Qu19lURo8EUq +5JbPnnF0Ndls7TVBGlxLqub0Mx1HsgWv9N+sp0FN+BHJR3nj6D4P4aLObyr4 +Oeyze+5AROFsE1XTZioQwxZ/KzsTUcL5jERqIxVOf+yM6L9FRK/P3+/1baCC +0J8HX3beJyKFp0mlCfVU+Pikb11eDBHlhBVKdwMenxOa31RFRHVS3XjLUkHv +18QSlygJgVPa4ftvqJAnXB2dKUFCrYcMjRnxVNh6/JWU/j4Syj/KFDCPo8JY +kJZJtCIJmXMR7u+NpcJdoYR0iVMkZOI8MVgcRYUctbP6J7xIKI934Hh8ABU2 ++3+M827D4391sjUdqFA7kH77RQ8JLe7jdrCyp4LnodcGhQQSuiqxbbW7LRX6 +qEEcbBoJSZieLY69TIWEs1ZO1zjIiPWgPL7JggpSojxHzBXJSKE9QqFflwrH +v1j1KcaQ0VP/7J3ue6nA3mhcYBRPRu+lL37W202F5Os64S7JZKRVILpDfBcV +VokfRO+zychXptS6WowK3x/xZErUkZE0T+yRn1uoYGqS771xjoxkFYKyhjmp +4MjkEWJZUFBBmzcfm0CBlrK3AanWFKR3O7YwbYACB8NPsM7bUlDG2j2C5/so +8J+MV12NCwVli2zgKu6kQIQj+XZcEAUFP5GSudhIgQJiTZtWIQXVtGjUKn6h +wEL/wyevN1CRK62VkyOKAjZZonNGW6joleaOjw7hFKi7U2zDs52KsuddsppC +KRAl9FPVfQ8VOebscAt7RAEJ88tUnWNUJEAMJ9B9KKDTdlxr2omK/nR8DBe3 +o8DT+r+LenVU9PnCG3O9wxRQbyrKvdNERS2f7t/YqEQB9g+3y5ntVCR0b+59 +lwIFDPspsHqYim4GuIQbS1OAb7IjsH6OiuwPpYqLilIgVODDWi0pGordoOfJ +WiZD4EWrrephNPSsZVbI7BsZlGwE612e0ZDNuiiv6BoyjNu3eyW+pCE//ej1 +rZVk0HDV7VtMpaGvhPDSQ8VkWPZXel1WRkM+l9Skv2WSwS+DV0KNRUOrdB8J +/X5MBu/pUjllYzriOIpqNLXJ8CVbe1nXgo4Kx8RHJxAZ5q/96LxgTUdHNpbt +ijyG+w+O+z50oqNr7tsnQIkMd2rXNjT501HWH071YQky+MRa2F8toKOAqp4T +zAUS3FWbSYjazEBjKTKt/3JIUPrrnvvbbQzU4najszOTBP/l8mgX7WCgVe6c +Z5JTcX/J7ZMDsgwUkaRktCuOBPfWa6jt1WKgQqGTY98DSeA3HNlT5sFAFjkd +7KcWJHgYIMPP6Gagzf22Ox//JsLtggseMYMMdL7kyFTBNBEcxp/0nxhjoB3v +egW6J4lgcHIiNXqSgXpT3s0ujRJBhDNb9fiqCRR0LUaC+p0IX/zlrz49MIHW +3MzZMh9LBPbDA0WHwyaQvyrfjjuyRCB+vLJ97OkEymacXWO7mwg9o08fhMVO +oJdtaRdPihGhHE2dGk2ZQDc3hnQPbSBC2HL+cGjxBKIl3CE8mhqHvQ+V1gyR +JxC3WkrCnU/jYP3gsFUgmkRUrWYn3gPj8JoUxJ2pM4leTd2WDtk7DgOnuvOa +9SfR7O9+6Z+i42CxxYNL0HISEarE+UPXjoNxVn5OpvskesRvKtM2NgZanXLL +LW8nUZycaPj9yDEIVL33fjoTW+mrR0HgGFQlNJkJ5U0i+UfPSn7cGYPjjtez +rpROojOfedTqro6BymKGyUznJFqteZUjRnkMZPdJpgtzM5HL1R8xcx9GwSn8 +luFxXiaiuc++14gehcypqj82Akz07N7CBXPfUdhTduXsBzEm6jGzie/UHQVx +48T544eZKCjX10xwdAQE7m47bevARBovBXOWuEbgdys/O6eBiciMs23N24aA +nsUte/0H7h+npZX7lwCDj/67trebiXyP7+DUGiRApRp1OHGUiUQDNyyGvCZA +0LuK1qh5Jlp9c3G3iTABNt93znXfw0ICrGdoiGMQuC1tGfKyLOTbU7XJY2gA +5pUs9zIOsNCgl8XU++IBGKBrJV49xkLfXk38mHYegBRz0UhTUxY6p7VVqrKz +HxTkm5yV/VnIuKJAu+VJH0isqcqaCmYh99Fg/sTLfbCZ+JmcE85C6VFimdNK +fTD36q313lcstMpysFJ8sBfKuXwNhPJYSHkmjl9LshfOEKTk/xBY6ENWQU/y +q24cX8WdisZZKFqILPbcrhsUnm9Jd6exkDfDLnRYoRs26S2LMmZYqJP7kMG9 +2i7oL+xdP7iOjYI+73V3JXeCQ1jwZJkqGxls9p/jWdUBdJEzZy6eYKP8fZVJ +erXtcCOb//1/mmy046m7Z/6jdnBreeWgZshGmt9z0yic7bC9x/7rETs2+v// ++/8DL7Ch4w== + "]], + LineBox[{{1.0419951622474852`, -0.23469877451035176`}, { + 1.0421407063783419`, -0.37257984191474414`}, { + 1.04283555784381, -0.9460788423700206}, { + 1.043020573993824, -1.0779824040116783`}}], + LineBox[{{-1.0430228062121953`, -1.0779824040116783`}, \ +{-1.042807187813172, -0.9242424282156637}, {-1.0420557485522708`, \ +-0.296761331938703}, {-1.0419916353084975`, -0.23469877451035176`}}]}, + Annotation[#, "Charting`Private`Tag$14414141#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, -1.0779824040116783`}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.03, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.03, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.1300000000000001`, + 1.1300000000000001`}, {-1.0779824040116783`, -0.23469877451035176`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, { + 3.714237148119379*^9, 3.714237158503746*^9}, 3.7142376738828783`*^9, + 3.714237708683312*^9, 3.7142379936356*^9, 3.7142385359649982`*^9, { + 3.714239532284824*^9, 3.714239559565295*^9}, 3.714310568247346*^9, + 3.714310622197301*^9, 3.714311011658202*^9, 3.714808401956645*^9, + 3.714808896545514*^9, 3.714809181349373*^9, {3.714835268155815*^9, + 3.71483535503961*^9}, 3.714837790628598*^9, 3.714839685888854*^9, + 3.7148400624928083`*^9, + 3.714840783784141*^9},ExpressionUUID->"fdcb284f-f0ff-4606-86e2-\ +59cb14f49d1b"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", + "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{ + RowBox[{"\[Theta]c", "-", "0.0001"}], "/.", "sol3"}], ",", + "0.0001"}], "}"}]}], "]"}]}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.714237173649082*^9, 3.714237175624524*^9}, {3.7142372663876457`*^9, + 3.7142372666578074`*^9}, {3.7148378004249163`*^9, 3.71483780140065*^9}, { + 3.7148396909510317`*^9, + 3.714839692023047*^9}},ExpressionUUID->"42364ffb-0801-4068-92dd-\ +1dd2ca0a5191"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", "\[Theta]", + "]"}], "/.", "sol3"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol3"}]}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, + 3.714237249207802*^9}},ExpressionUUID->"bf674d0d-af90-450c-adb1-\ +9d99c2cffb88"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwt13k0lO//BnCUimSnSKUiIvtSCZdsFULhQ5aIUkmiKFsLSbaSLSJRolKk +kDVKKtlmMMbM2KNsY2aSUKl+z/ec31/v8zpz5tznuZfrfd8bPc8cPMbDxcV1 +kJuL6391VCm8amXyf4Z9/19tCspeo0wbsiZSXv+rjlrZd0TLTGHJ3qEmQtTe +kKTli6X2WH9A7PAcUddlx9dxSo9iUqVuDYOodcUrpKdKA7Gq8PLVW0S9uf3j +nvHSKGSkHZm9+DIKc2EFA19LU3F3A2PWoDgVXk9/ebYm56O86Ym4bkg+Qsan +1B8sK8HmReZ0ZNVzRMgbjN/cWg6HS7Px7p/KIP+Eq5ZVUw2xfv2i0l9V6F/h +LrGeXY+sgw1lMo/qcKcn3WyoqQFSE4WG2+vfYuRyQB/fjfeoG/w5bvz3Hbbf +XqObtbEJsVfkZ0x/vAedtLDu63QzynOmfXNZHxF1oaApI64NFfmWws+zP0Gx ++sGYyCoyXpUKlESsbYFus6BmmX8HctsEPO7FtuKgRF3cSFAHSuR2TSXfbIWf +x+kR0bAObNnskRWV0opHcy2pAdc68LiTesI9uxVrNsfOq2Z2oPDh9WczJa34 +Fbbk9ZN3HRB+fj84sacV9SoLe3IkO7HQc94kZ1Mb9iYNu8XVduJMxUQzd0kb +nloXbd3a0Aml9ZLq6WVtEBQI+fHxYyd+3TJet7WqDZRo4Ru8XZ24FDF0w7ih +De7hqL0y0YlmbrVaS0obzh/Plr4g2YVsrResV/NteGhwqMfLvwvv1Ys6p3e1 +Y/lvuTye811QaX7nI2bUDp9Kjt/9sC5Uey9c1DFth7pWzLLB6C58j9otfsaq +HTWKFTrO2V3wFpWaq3BtR6eYRKptcxfcZGoMc8PbwT1JtjWQo6BJuv1iU1U7 +BOPs295upUDllPrFU6/bIaNE22euRoFt5NdVK9+2Q9dn0NhGjwIxxpbPaCLG +n5zWPmJLgbImt/UVajsok/xS18IpoPxcnHWZaUfBlOlwK4UC89jnj8MVSCiN +b3I7wKBgw89GqxdKJLxRtmJ0D1IQ0/k55LMKCYxTdl0DkxScU7Px09MmQYh5 +5D2HqxshKoVVb4xICGZeeiKu0o2puaWFWw6RYDFdGeB6rRuHdm+L+e86CVqK +Da8j4rrBrTCjxYwlQcarhe9RYjcCxz5SLyWQwKb13/92pxsuz6S4s5JISG3k +6Ywu7ob14cLR4iwSBrKsNF/0dCNzr3uL6XMSAiyGZniVqFBWX9ynSCHB+dqE +obIaFV4K3nddqSSYvpmJs9WmwpBk/fkGjQRJXd7NWYZUWCeb7B3rI6F6o5Kd +uh0VSYteoUFfSFj681ypczgVmz/we//7QULGo+WBz9upyJUuCzjKT0aTvYqW +KYWK/CVGvkdWkrHAbTdDo1PhMXs101WADEfXe/48X6hYMSWdvF+QDEkRndMO +v6lQX/2FKSVKRlqop/dvhR5M+jVbuUqR0agQI39LpQf5Tuev6EuTMUspGpXT +6kGaZdqY9Foy7NV+elob9sDET862U4YM8dFE9/v2PXiS7h6nLEtG8v7XTnsi +eiD5fPLB9S1kNPz6vLovugfOp0+uslQgY+bRih7/hB5s/uL8VECRjIM89g6Z +6T1QcMqJiNtKhkjF5IHpoh40vfub7r+NjFuyayxTGD1Y+H3xzFcNMt60GfAr +DvXg3CmS6A1NMjihXp9qv/SAV482oaFFhk138Z6vHOL3JCWt89pkYn+ame5c +TsPhO1laE7pk3Ph+1mBQiwYhRv9M8C4yMnatbxXfSYPm0+HSn4QfXv3kbGFI +w7jD4dFgfTJqxWSDy/fSsIX+JeWsARlMrbaX8W404Jqmqh2I+Q4L3v3Wk4bK +XC7fj4SXNm4mzx2nYadmqpSeERky9qHTR87S4MzWaZTeTYZVoILijus0PBy9 +7fTJmAyn2s5XpxNoaD/QIKFhQsbRpZfM8pJoWOBaZZJOODyV4il4lwa9OXXW +YVMynpZFZI+W0BB5RTym14wM/h+9okkMGn4lc1Nj9xLra3D9/odBGlYvmmfR +CG+6pqm+OErDnr7oDvl9ZOhJxO4/zqahmE87qYbwSR3dGIOldOh/5nanWJAR +eHFY8hwfHQdceookLcm48j4h/7EgHcxqRT9HwhkOIw1iUnSs77pqQiHcFHTr +z4QKHaGRy01qrMigvN6VsEGLjt20gg3fCA/xjkk77KBj+xtbP/n9xHylGex4 +Y0zHQJyQZyzhpQPjH37soWNdqsXyKsLCW1IdlPfT8Ti8b/0YYYVXk2dvO9KR +cdku39CaDM2/adytrnQEn/AQP0HY0Hz3LW5POu62ic0lEv6Pml7k60v8n1Mv +0kvYc72J/oMAOiTkP1v+JeznzWruOU9He8OfhQ02ZETPmY4bR9Dh4nf+2WHC +tBKBybFoOo75LhO8RFj5FGUqIYGO8i5KdhbhS/J3pzWS6Tj+7o9LBWHyoBeb +mk5HSV723g7CmzKVv4Vl0/FVvsNrgnCQ/fcZ2Tw6QkzLi/4RbhKsmX3/mI45 +4+NbxG3JkP4UOedTTAd/8dL2LYR9r1osCJXREeny9OF2wvUGor/KqujY5xNS +aE5YdIH++1A9HaeMbwzaET768v6fv410SKbxmroTfuV78l9eMx3prty0E4T5 +FDS495Hp8OzLyfIn7Dq8wMPqJsa7z5V4nnBx1pulKb10mF0xeRlKmOu/mGU7 +humYzojhvUjYTth2Rf9XOrjtODH/c0Hzav5IJh157ln64YQXogZXKszQIVNV +KBtC2AKPVrXO09H1ADqBhLN/+gkF/KHj8JOw0NOEOaW6IpJLGPB7cIVzlLCx +31/RmhUMDD7zT3cmnKr4QdxDkIEX6n5nrAmPfb4hySvOAN9gVrARYb1shzWF +UgxovJQpVSec4LhO2mYDA5nTYhs2EB4Q+bJ2Vo6B7nX5tSsJa7Q+W3dHiYGc +NbPxc8T8U430N47oMHBR0/XNB8KKv5dsjtnFQLVPnfwzwmHlLXIquxnozfF/ +nUhYVslF8YIVAwWOzlEHCJ8d3aQkc5CBO/r9pWqE39+bVH7ryAD3iLmkAGEf +sVC1lV4MaLudCKwn9ltt226NkhMMOPed9r9NWCiGT8vBj4G8cz9yThEuW8zQ +zQlh4NWxrZnChP9+qTDQusXAn9LYf6bE/rfNvQxaGgNXbZfcXUU4z3nP7otZ +DNicMDlNIc7XXhLV9GMBA6aP64pdCSdX/rB0ec1Afq35y/+d19Gzr/dzvWMg +OTr9pwjh7SrXbPKbGFgTxHuhmTjvfffF7dhdDHy/MiGuS1ghXsv56iQDzLSK +4XkiP+QUSwUEOQx8vn7JJ5+w7HvN+owfDIzYm+w6QFj6n4ZcMVcv1h05X563 +h4xV59RZNMlePDbyENE2J/JJuCTXS6YXyqozA11EXi0rUrNjbeyFxd3xHwGE +ucZUK5eo9MLLoYbrCZFv351VIlVNevEyXiSRh8g/zvwz7aq9vdg0O/AslchL +Zuq2MRPrXigGxUjIE/7armx16FAvZFLVm4yIfKUbK0lGnemFTe/WSi8ij+uV +FArpWb0QO2DCciTyvfZjgevR+72o3jxPbtcjo/LoFiF2QS/ovE+4TQm/vCcf +uPRlL4TKafu37iQjX1TOUK2pF97FmumDRP+I/yXbGTVLjC+8bN1voh85Nkv/ +UtvfB92AR+Fsot+p88iGuxzsw7v6SW8Dwiv05P9GO/bhvuLt/lh5MqqfqPEM +HOkDs3PSf70cGetjTfkTzvchxvePtu5GYr32+EmP5/QhP/LPYVmi3559/1Yv +d6YPD9wuFwwR91bLPx9qW+b7QK3UiuAiLKfTaji/2Ad7rX7WeqLfdz+kGlsv +74fmMdZVR+J+sCNqymJxbT+EB7ZlVSwj45+xhIuTWT8Oib9wP/6XhIQ3J8KE +M/qRoOgmrjdAwjOfOP+n2f14dsV64lsvCS3iz46Z5/UjTswhqIBOAv9Jtk14 +cT/GLKTLebtJiBE5Lzfe2I9LtOnRuy0kXPW82lb/rR8BVo3JqpUkhC69t+GM +5QDCVpU/HblJwsm9Xe/a/g7giKd3RbUmCUdvhMbwLR2Ek+XDeboaCR6dG/eb +8Q0ilTJ8ZW4bCU6u/tRasUHsEmjzVyDug+b+qyaeKg7CXzWl58RaEjZl7BGM +OzgIIbeHlj5LiPvgWI2TecEgzMRad/h2tCPfpPP84JYhGEeebrp1rB3BPREa +/luHQD0pIi/l2Q6LUxpMrm1DGF+/SzDncDs4ybeObNIYwiOVlpg8x3aiL1pb +Hds1hAHTXI3EfcR99UrLximbISyzOjTxbVs7eOoaW+eChxDaYfp64lsbDu+o +2CTYMgTpG3nhzYFtmApS0lS+OAzu5ILV0ebE+0DwgKbn5s94UaPZ68XXgn4O +7+3rPZ+REKpW8DHxE1YoVgh7xYzgrabvu8h/H1FevTbcSWUU34+EqFoHfoDu +bUFL/aFRfFmzfpN4eSN2tpXx613/gq88zMk1y98h6pDj8LTSV/CIh8q+cH6L +PNWYtbf6vkLaReyQjlA9TN19za0ix5A22ObZXFSDKtoAZU5nHK8adJtnJCpR +UrTUvqZ/HPf//FwsopaB3bNlUidyAvc6L+wRaHkBHsuekXvak1D9inVVbkVI +l9rVvrF3Ehd4lBUS/zwCl4aKTEriFA4kvd25u/QBXmSvjag2YmJJ7LDOLZ27 +6JQ7G21jwsRBST6nBxJ3MfO0KX7UjImAn/JmH35kQbs6iPhCJvHeCks0eZWF +SirpqacDE7wyo/vFd2ShTiiKyu/DhKFiyGMRZKI5gqnsksLE2a7jFqnOGRg9 +9pr6+wsThdzDdieaUqG45UFa0zgT36RG91UVpsL3a7R92hQTFYnRwrI3UjHr +bdup+o2JP39HpNUOpoL3xEjbkUUmLl6N8rfrT8EWH773H0WnUZzzx6tiPhkn +/BxKUzCNB9d+JC3qJ2Hq/HSi8p1pLA82aqoUS8C9pWmvmrKm0Xh5UjH9azxs +k/X7j92bRn2xrPHdqniUFcUr5eZNQ4U1lCPtEY/w0a3vxYun8biqR3i8OA6C +B71//WmYBpd8e+d7u1ioqwweJTOn8VZgfVFsdTQ+V0fHn2ZPg3hpvDBMjkbq +XtWX/DPTOL/vnIu0TzQWvC7+M52fxoBnzh0z6Wi8zVybWcXNgsqSC3Gnwq/h +4Aon0gNJFkgLtzy/74lC4Ah5Z5ARCx02/S5DvyMQ5knZwWvCQmFYQPZqegQi +h3u2p5mxcGx5fNG5VxFIGhzQKbdgQdZVTykzIALFvUyNH/Ys7E5QV8yduILx +rhVKQSdZaEmPlZN6exmujUbSQcksjMsWVyZ0hcHLxFSKN42Fb74Tj9elh8Gn +Yc+atHQW4o5FcM87hyHkjbVk+V0WDB++rYkcCcXtWlfRHwUspChZLS7Oh4Bc +FswfVMPC1HLDswGqwTDLL/kVOMpCvfPI4wVyIPzdjEv1x1gISD6wT/ZOIDIl +KKeWTrIg2Ki2MutIIDjX5vtS2CxobS7Ijv1+DpnehvUvf7GwdHty5t6158BS +aL3KEWaj7cuskl5oADIKxwR8Ddh43uyuEjXpiwbPkPdaRmwo/uPrMEr0xbT0 +yku/jdmI+fk5IVvbF8bxquy4vWxsML3ooxtxCsxTQR1P7NjYv7E9YHCjD3ar +LLk9dpKNwlfLehlXjmPy+foNXrfZ6BjNintT6olInXP4ncEGR/JLJ9nfE2tr +PrqnZLExK3HpzjFVT1h98M99l8uGaf9U1dqnR/C8r2Gj3FM2rq2o6i8t9EAg +33G5L/VsFPTQj9ZFuUEgscb0YgMbC77V33WF3JAvLnxM4j0bPuUT0yWZrqBu +qMo3a2YjvNJ7y6MyF+zQXalQQGFDIYD35s3ZQ/jj+Xzr8Qk2Pqwb+N2d9x9u +jy+x+DfFRtHDZb8UDP+Dqp+TTzqLjVcHjkqeozvAI4T76cfvbPDMOoTPiDqg +IdFum+JfNlw9mKnRSXYwGQhLD+TjgBR9XC+61hbCGwseveHn4PQ59nYFb1v0 +eZErBAQ4qJNhm1UK2yJwQo72UJCDHarqPrYd1iiYbVvTLcaBf4SwsdseK6xY +KZups56DbB19u8z4Pdj0on7v4w0cTP88HfJmyhz6ju7z0hs5sJs7bSRnbQ7/ +vHv2XHIcaLptvpEtZQbarnVCLVs52JTklC3XYoyZ4drXBsocnHon48hrYAyB +GFffkm0cjBouV5J4sRtGlKxPaWocZNw78Lg6xwhPfKWjPHQ4uB+c/ZSsYoBG +0WrNLl0OvpVEnJXW1sdA5aFhsx0ctDeFrXtouAuivHcMlXdxkN48l3HcYydC +s1f//GFEfB9L0mU3VQcW7eJ+8VYcIm9vzkcIqeFoYJnM3/0cuG8LPnIoVwWX +pO1b/G04iPqsVKe2cxteeqco/neQA+ub+i8rIrdi7T+REVknDnS/ibDMA+Wg +m/8iKeUQB/pBpBxF082wtTxgtMyFA+20Zz8b125CVPqt7Ck3DirvZ5yVaNwA +ppqQ0ysvDhINUk0epazGMmrxsq3HiPWIPqymWCQB2XDr8ixvDnK/5qfc6haD +fdMN0YiTHNww32ZOOigMPz+Vt999OKDrXTbksVmFGPG2M96+HCw3ahPIk+BH +rYdAm+UZDlR33Tyw4tcSUJc9C6vz58CLYRkduZobnGeWShpnOZh7bPLIIm/R +UO5n3HXJIGJ+THpK7+rOGBrmKOnGnudA0mPdwObCSUMns+bR3xc4OCmR1Wvn +OGx4dupkil8IBwobLVke42TDG0l8xsOhHPxiNyTUCXAM/g8gKlqM + "]]}, + Annotation[#, "Charting`Private`Tag$14414184#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.03}, {0., 0.2549127423565523}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237674457458*^9, 3.714238002214877*^9, + 3.714238548204287*^9, 3.7142395741313543`*^9, 3.714310570543141*^9, + 3.714310623124496*^9, 3.714311017345689*^9, 3.714808403934688*^9, + 3.71480889857689*^9, 3.714809184836677*^9, {3.7148352402924423`*^9, + 3.71483528537774*^9}, 3.714835317980453*^9, {3.714837791309577*^9, + 3.714837802598229*^9}, {3.714839687879746*^9, 3.71483969498512*^9}, + 3.7148400634028397`*^9, + 3.7148407861257143`*^9},ExpressionUUID->"0b7343a7-4703-45e1-bb16-\ +5b27ce9853a2"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "\[Lambda]", ",", "NY"}], "]"}]}], "]"}], + "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol3"}]}], "}"}], + "&"}], "/@", "func3"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.7142371795421753`*^9, 3.714237179715836*^9}, {3.714237270963962*^9, + 3.714237271437516*^9}, {3.714808410655513*^9, 3.7148084108773403`*^9}, { + 3.714835290345118*^9, + 3.7148352908177443`*^9}},ExpressionUUID->"92ae3154-3f46-4e0a-9f1a-\ +48944528c3ca"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.007333333333333334], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwVknc81Y//xQnZd28X97qIpFQofPR+KSLZpVRKFJWUqERpi68UhdCwUrJC +aSjjvkhoWInQkBFlNCQh9Ov313mcx3mc83j+cYRe/i7esyQkJPQkJST+X1kZ +hX3iViUsDb4mq3hUGYObTXdzF8iincPRL8HXlfG33Esi77UUntHqen+lRhnl +9F0nTu+WxJDh1WcPDClj3gGrY7rKf8U6/qtc5akk7Nmd+Txx4I+4JCXGz92I +hEN/X+09YTYhrlCJeL5vAwlX3TqwfPTjmFhXStVs1VES/tWv/DtTPSoOWTft +8TmNhK/a9SIlPo6I72TY3XOqIqHXrztloPFDLKs0GhPWT0KF5UUJmsrfxLv9 +Y+aGK5DRwK7lpBR5SKzio5CyXp+MXuVxUTcsvoiHid+fJx3JmG+aF+CY0ic+ +9izre0AgGReGrp57Wb1X3FrMOl0eT8bVZanjtIou8aGAOLfuB2TMjpy1Xjjz +Qazu48bsbCOjXkf39FRehzhF+6vtg0kyWi8kJ5+ObBWH0R6XGpIo+EKN3bE8 +5pV4Z4+33LQaBWmbfo3XHagTaw6/Lr63gIIBKb92mpOrxSHJNofcgYIv3dpj +6Y1l4ho/975RJwqG0A/kHPpcIF73wP/6MU8KWip2djaTw8S9prLLJwMouL0t +qc1O9SYxpDNn3c5TFKw4rL5NbPmQMNqQ6fssloLKh+OsXJsrCMHOI7PVMv7t +ba0uI72vIZYaSef5FFHwblemr3plHTHPxaY94wkFG0/U8vZWNhHLXxjLtTZT +cPnCsFt34l4Th+535k/3UHCKWbypyfUNEf0hm1AZpaAdNWMgX76DGPkWprtA +mopm/d8F3MJ3RKoTp82EQcXP+sNjdas6CVP5b0VmmlQsPCo5v3zwIzHVn6Zh +ZEjFkGDrnu553cRKlYlwbUsqLik4W5u6s4dIP8izoKyloqFoPss0tZd4EpGe +P7KNioxWF9ZI4yfCuLRqbv1+KrZHpl6Vmukj9JMCSRmnqXjc3ss3U/szMWC1 +tzAgjooFZj2XSKu/EGcjfL1NM6goNx3U7Ld7gFi9QHRi+i4VmS0ZVV8jBol5 +Sw86l1RScf2fEBNx2hBRmnhQ58Crfzx6LL/ZD4YJ+vtwF51uKsa/1zAeqPlK +8B7sUWn7QUXhSZJFdOs3YsOu7XWnJWk45P2coxDwnVDYoH9Hj0rD7xMX++1/ +fScaUzRJjQIaCh2exwmDfxDq9U5zAwxo6CqoXx838YPQGg60JQMN6RZzCwtD +Rog7+cy7OY407NlL3xU+PkL4/rmascKDhqM6d3IEQT+Jjc0OWzv20vCLkbt0 +1MhPYlG8r47/MRrGfxgMatwzSmzI1TObFU3DrHe6x/70jxIccUdrXDIN6zVP +cVmev4ha17almrdp+HCn5Gvd9l/EVqms5KJSGv4kFb0gnMaINZp/YPlLGt6O +31O8tXqMKJtXsrnx7T+ePN5IvNlvYvIiff6WQRpeYUQE9Rb8JhJdjwwOTtJw +Q0XV13WicYJvVF4fokDHDLruvZ+XxomBMzIUOR4d7Qu+va6QnSBIlR/7EnTp +2PAwklMbPEEU1tqf1Tah48TRNCnlLxNEfhsaPLSho9tE09sEt0liuc08yio3 +Oh6umpe7u2aSGJiW3fJuBx2NmvatuGj0h8jPd3MMOETH7miuhXLGH+JJzwOO +XAQd018YkT6Rp4hvL12/piXQsd+Y+kk1dIoY/Cgv/V8mHevJRa9K+6eIG46O +59vv07HZyuhRtcs0UWLjVBbylI4wOuYMZdPEeu5gNb+Fjtl/8hbMnzNDBImK +31X20nGlzhqMvzBDSNwhL/QbpePUfAnH4IkZYvlN8hhHmoEmCSky7z3/EoWk +9M3P6Aw0Czz3tfrZX8Lu6tHLR0UM3Pqe+ucaRwLcfxi+NVrMwK+7WGN8Owko ++Lpw7chyBip5piz3Pi4B+g1ioyIXBm6zkMg/dFcCeAT5TrAXA+PWmE24fpIA +znqz38sDGbgIzrVLciQhMtzBhHaKgdRvE+OhtpLwn591Vt9FBg4tejtWGyoJ +61JVD2I6A9eXuu7sz5eE877Vjal3GJj9qLWt/aMkZIeYDIVV/MvjzzxPp82C +9NCD4/5NDGRq3HkAlrPAQxym7dnFQHH2ElLxwVlw9dHJW24/GGghN2Aif2sW +kBKv5q2TZCJp5cAVo7ZZEFrM27GJykSXHpmoZfJSMGLgLbdDyERCVWmzlqkU +5JpLVYYsZGLKbsHmQV8p2FWa8TTOgonlAfJNF69KwdFUgdV9ZybSL4WOc19K +wX7P04EfPJloH+CjfGZKCvxD5E+QA5k4vsHA8vU8aYhq0kmzOcXEepLUS7nN +0mBDxMucjWUipX12g+i8NBhKQk/zdSYK9NMDtcukIQB8/LSLmNgyXfCGOiwN +g0lRr08+YaJ6TyWvny8Dd7NOO/Y1M9FsgcvaW3YykHzrIHVtLxO5KqNJa0Jl +wFmuy+HFKBOz1S5MDOXKgKTm9f/sZFh4I+HC6QNvZeDQjzHyGyYLG17SLAYV +ZsN47emZ3dosLDjJNHExnQ2EsdsyxSUsvKWQ6Z+zazY4tv+UuW/NQrKKUt9o +0mxwWb/63C43FtY6jV5ZVDsbjDbXyenuYuGnuMtnt/+eDR73dhT9DGGhvNdw +fpS2LNzYfa7q2VkWLqSK/2a5ysIXxpKDuVdZuFjUHVgWJgvW3JGZpDwWOhWt +mXpWJAvvNN9djS1j4TKaR3RDtywcy70dnlTPwpqUCm4DVQ6kIsonczpZeH2w +7vwzkANBkaLh8+8sdDSPbhP7y8FdTXP/MUk2vvTv67ubIgfWmPtlAZ2NY073 +b2TUyYFywI6uIE02mh77NRU7JQdrPM0vvTBiY0D9+/aTevIQsa7ccr41G6vX +SWoFbJQH/0VWBqlubGSw/Gs8I+Wh9cp0kpovG9udmrLXFssD8XwA846wMS/n +3D3bfnmYHfV1YNV5NvJlOxssWQog5dG4cSyFjT3mMz0rrBTAtsXS9W4hGz1y +jdttDigAhfpL/VglG69lySetzVCAa6fCJTe+ZuOj8dXyO18pwNuW6xYr+9hY +pG/JCpNUhJtsCd0V42z05T7LyjZQBBPmLklnBQ4a223NbfdQhPu/nzL38TmI +he7yzBhFeKmmdTdtPgf/Wz2d716uCBv/qxL1AAcz9M9F3hlWhLH73EdL1nBw +NPVoBENVCeLsPlSkeHMwLzYmKdxOCX6T2TGcYA6Wbf5yWy5UCXRS1fffPMvB +7g6zx1dzlYBbcq/CKpmD3p+67sBbJXin/7dhooCDibaSUeMKypCskDpaUclB +R6M88ypTZTC2fRiR0sLBOIFU1Q1fZdhbO9Ed85mD0R7reVevKENwZpFnwh8O +8i0diKznyvCB1bH1LomLnt+lDesmleF0IpvoFXLRoNdwSkGPBGMp7e7zjLhY +4rghxWsTCYIqt/CjbLj41rRF1BJFgtgNT7sk3Lmoe4F3eVspCVxv8ujR/lxs +4r5SJg+TYMtJX87i01xUPi59qU2VDOSbDZu+J3DxjKulVYUDGXSPhK2qzuFi +nFP70ufHyZCcMOp4v5yL8blD50cLyWBdX99Z9upf3vzAx6KbDI+kOH4f+7gY +vuTNaJs8BYZTl/mq/uFi1453aRkaFDhdN9/lIJmHO3/pO540o8CdwztSPot4 +eHxk/HLgWgp4zaW8PLSUhw2631SD91CgMJ28SWTPw+upXodjwylgHiKqH/Tk +/fuXl3NlKgXk0sdzmoJ4GLO41VruEQXqOi0Pt0TxcHtCmoz3KwpEu3fV/E7j +oVz7Y6P2QQqsJPo0TB7w8GH6+nBvGSrkBdWoXnnBQ1qcdLaCOhVYdwMdVLr+ +9a/UuTxbSgXDtL0OZWM8tLrm+d91FyqEnfrz+ISSCtolLNVI8KPCBR0jIx8N +FVSzKam6GU4FSW9jr71LVXD4iN/npjQqvKYuG7zsoILu0ox1KiVU2FPccvTL +dhV8/b/BjlMtVJAfnXix+YgKlpjX2ch/p0JNtuW53xdVcH3q9qACBRoc0uMe +fpilggbOnkSQFg1qtr9yTRGroMXyvLAtQIMFC3725rWqoOHi1Hm7NtFAe8Bt +pGdYBbWfLxMlBtEgMXSfg6UMH21cDm38cpEGbp17Gur5fJRzc3++9TYNnmwM +dw4z5ON5m90BM7U0wGv6D73t+PjEqmntk14aLGtx/bJ/Ox/tPO+dKJSgw2zZ +ojcFoXx8uv+EXA2fDjPlkiG8S3zc+GyJrJwJHTR3OL+4d5uPf7trUg+40sHZ +3+X18Wo+kqK9ppUD6RATmZUe2snH/yW9XdMSTYdyM4tVeeN8VNun+PFFLh0+ +KRd8IdNUcXjK+PNILR0uX4/MydJTxSTa0dLVff/2FJtLD1mp4pdXqx6+kWKA +U6HXpmMe//zeRvMkIQMUDda9KAtRRdvCKIwmGLA+6X/uS+JV8cDTpyWlmxmA +fhTfoXxVDGicUywKZcDQ96qNH56pIqXaefXTKwwINH2RTvqkilZGRzgZjxhg +lKQnPiahhlmJqk3lbQwY/uQPBnw1tOrJMuKNM8AlaHWF5lI1TOasYD1kM6F1 +hf3Q5rVqGJQZtyZxCROeGiQfeb9PDfVOXu0sXc+E/TpPTW6eV0PLoSvlusFM +iFGKmPUwRw1VpWfLfUxiwrnd+IRRq4bOBpH9XY+Y8ISx+Rh+UsPISrWUhW+Z +cLZ4g3WplDoe0V5yummKCd4f39goaKhjkOYvmSo1Fny+ZfkkD9TxXc/xfEUL +FnQ/jSNleqjjrGN+6rnbWGCWdOHq+DF1tNe0YN8MZ8FZmvWvzBR1PENjBE5l +s+BXenhlUbk6+jy00btXx4IR65M1wk51DK3d49HwgwVNAZH9P/+qY7Yx4eDM +YkNoVnBcAkWAHKcGd3MzNnhti1i3UyhAu6IOduJWNhy6ubhn3yIBGglWG3uF +s+Hys9M/76wQYGnm8NXreWxoTDyzTt9VgJuWerq7N7PB3TvvR6+PABUXrSiP +m2TDN6FdZUewALU00pbZa3CAu8ywkxIlwIKagvjzthxwzt9zODJZgHnavfc3 +7OfArPvqPSsLBVgctrbjwTUOUGNTI1Y/EaD7suiTOdUc2FZS8PtyqwCT8loP +mf7gwET7zz7DAQEurB1468fnQllQ6gL1GQFWDdtq2dhwwULZp2UTTYjf6CK9 +5gNcMNK4J/dVW4hXlLr1mNe5MKZgOrfdTIhjSpdamI1cOOr4ql7gLMSMCnXH +9zNc8Jiof1LrI8TwRr/lB+bzYFfzY3pLqBBNWx/092zhwbKYZEXbOCFGdJFo +xhd4EMd8DfNyhJj132rzg5U8eDx1IfFEhRBvm11IzvvFA74b39auXYgrfucZ +fNZVAZ2+4e/xP4S4Iz2mydBDBU4uqojaqqCBo00Ch7RLKpBxvzbqvkgDRRY9 +x03qVOB8jF7nFXMNvLe5egdlNh9MfSRn2G4a2Ps6394Y+MCIl58w3K+B6RbO +vWVH+GByzufsZLQGLlbiBZYU88G77J5OYK4Gth2VkrD6zYfU0U/8zFoNXMrw +jQlcogonDLdeTe/TQBrqum0JUQVt58mP+2REaGmVRNEqUwXeSOxaoZYIN1bY +W/TNUgO3Id38CisRft6jcavKVg2Cpq9oeu0QoUeDR2ZfvBq0B3lkMM6KMK+q +71VQlxrYhrMVhm+L0EtJIfaGgToUedKCJZtFONwx992NU+rw40hWpu+ECEUr +P2oVvVGHM8Xy6yyFmhhg4WUuzxFA6Efjptu2mli6MX637EoB5Ke7xjw/qIl3 +FYW7/h4UgFJY7GTldU00K1vUppElgE5+7I6nTZo4blE4k/NOAL2Xd9jJSmmh +z9a4PR10IWzae/dFtbEW3lDYKvxrLwRywLNCuz1aqN7xzvpglBDiP2nM/pap +ha6V2oM5L4Ww3rvuJKNXC+1joEuTpgEXSyoFJlraOLzr4YUz7hoQq6oQPOqr +jcrvjPwS8jTg+6MD0bMeaGNkYM8FVykRBDy+EOskOweL+zT75b1EUOnwKYO8 +dQ6W1Z7o93wuAqWFD882VczBjfcCY28s04TJlSK/B/N10OIM3VqqUhMWaVDn +PcrWwYvHnFT1NmjB+EwJa8kSXVzgEDuxSVEbqOP7Noy+10XuzqezSnq1oTta +/c3K7LmoINZqUJqaA1ob9iTszddDezmrir1hupDiTU0XqOrj06Fk4o9gHngW +mWHi+QX4fyMGnwc= + "]]}}, {}, {}, {{}, {}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwV13c8lW8UAHB732Vcd5RVSQNZWclNGamUFEIyMqPISpFSyEgUKRpWRElR +KuI9IhUV+qlUQiiFUhnJur9z//L5ft7Xee973vOc5zzKHge2ewnw8fEd4+fj +4/0dX1IYn5THhp4BrfN0RxIUbVZs0rnMhsdC84YktGNItvCnC2xIsLfkk0FL +ZMuZx2ewweqxUhkDXQtpJzXT8Pq1i+co6KBBycbOZDY89BLSl0OrkBMEYxPY +4HL+ezML3aErsH7FCTaEBidP0tDxztGxHUfZ4NQndEIebRA7VR99mA2/FlFm +FqCHr4fwLw1nw3+dfl6y6CutPzltwWwYEX7awURvm/Q7FhnIhr4ZI21FtMDC +L4SKHxvy76b08t7n7no3bsteNhAJSQa8eN7+H9eGueH9B/uildHMdPujCi5s +6F8e5M2L9+J+e+1TBzZIFATkK6CPdm+eC7JjQ5GsZ+si9CrhZ2tYW9HBJ4bV +0H0r1kc1WLNBqr5wIS9exva6mgALNgx+cNZRRVtGGs7ImbEhK4BfbwV6+upd +I8KEDV4vpfN48W42aR72NWRDrs/FK7x4rj9KH9L02MB3SzVFHU2VVf1XvYoN +F9Vd9XjxHhvlGexdyYZ/HJmFvHhh7gsOkdTYUHs94bcmWu1U1v2qRWzoHh1p +58X7cEv67x5FNrTEShTw4qW8Ob1anM2GuFnlvdrotbNi4RV0NpR9ORvNi/dL +5eQ9Z2n8vnN6RqvQ+Ru540JkNtgvMR/URe8IOqx7S5wNTDNitQZaNGsixEGY +Dd6Nyz/y4lXXBlXy8bNh36bTwfrogIHhPyWzLHDRaZ7kxVOQ9NG2m2LB/YG8 +JD10m1Zf8OwYCzKuO1CM0LGOu+9cG2XBZXbjUx20bkznL5thFvxpVrEyQH+9 +Zrdq6isLiDHJmjXoiy9eHcjrY8HL6/P5q9GbxzaWW3ezoJbVSDJGzzOf/Bx7 +zwLdI1UBpujbHI7G5Tcs0DDPTjREe/jUBFq0s2AJP+OLCTrhdaDXh2QWiDzy +bd7Gy19n1WrVBBa0p5J6N6NX9nBFD8ayYO66Htjyfv9weql4JAtax8jN23n1 +/ufDkZ2hLGiK357mwPs+U4u25B1ggc3KuC926GfzAQo//FlAC7l8xRHNEq4a +NfBmQdnDf9I7efmS5MJJdxbE6Rs37EITNKuzbS4suHH2tIcrWpqR7rnAkQXL +H4hMOqH3KnzQ9bVjwTv7rtN70FWLF4nctWFB6LjWWhe0+IqAd9yNLOA47Gpx +Q9/Sn4/M4mD+lVyZHmi+tZab+o1ZcDtLId0bbbchbYGmPguuW8ke9uT1A+v3 +Pw5rs0Cp4skXH/TUNhWiSZ0FiZ3mw3vR1g770qSXsWB+25NtfujLu++6uy5m +gf9eseJAXj15zmmXKrLgkGzJM3+0mb+F0CSLBWFKCxgHeOsl6MybdXQWXLLr +3BGAHgzvLDpNY8Fuy/rsIF69nvDfuESMBVk7t2gcRHcnVrKCBVkQsdTNIxyt +lTY7/GieCV2+Zq9D0CfPm9eKTTOhE47NRaDfXkpN3THBhEz6RHwYb30UvNuT ++4sJu1IZNyPRR0qUtEaGmXDNfm1jNPpVuZ+AwSATiobzfI6glaoq/jvRxwQ3 +L//DMeiDj2YKWz8xodJHTJ93/5PHG8LZ75nw+e2BdcfR/q1vGZWtTCCuVjBO +oB+9URyab2bChKS+TAKa0uVbY93EhENNQ/MnefXXdyflfD0Tqg8I/znF61ff +pnf3PWLCd5mzE/FokdH1mhoPmKDUWzWQhN41kcJ3uJIJxmLE01Re/5h50/7k +FhO8rFX6U3j1zq9YQCtlQlua8+M09BKf8vuvXJmQNi9TUoyu8EvZ6e/EhPiQ +199L0ZwAvzFheyb4NvttLUG/3G+RnmfLhLGVJak30U7BizRNtjDhiXDP03L0 +txC+l51WTFD4WGd+i1ff4Z/8Qzcwwck2M/oOr/9GVotROUyos0ik3EanHckq +umHMhN7dquaVvP53JibzFIMJMxNKrgQv3w+2hpi9ZkANhz38Ae1cs5LW/ZIB +i4Z2LOziPa9WvDzyOQO47fZ2n9Dh8HWz3BMGrE1juvaiBRsahm4DA5p/kS58 +5u0fL/U9FMsZUJ/Q4/2N178+K9rOJjOAuSHTfxIdIfFLo8qcAYZ1D4/L7cL1 +wlX46LOOAd8epSbT0ZPjWxKYJgxwoFdwGWi9oSidFgMGLGt3D2WjQ3tu9ETp +MuBuRn/iAnRlx4dkjVUMgBZJfkX0n+fiBr0rGFChbqOohNYiDAbSlzJA1cP9 +ogo66K5P2vpFDDjWZCOzBO3v2vO7jY8BAduCVuqhXSte3R2ukQfLT1kSDujL +xXNul+/LA7lUMs0R3XVpJWlrpTzYZc2scEY7JyR5VZTKAycpx3EP2tHFgh55 +UR6mJ6Xf+6K3i9RFiETIQ5dXzvojaHOnMiNlbXn4t2+KPx+9WLP0UJi6PLj7 +K+0pRAsJFVc9V5MHDf1tUIR+XJarfVBRHhLD5PfcRHP4M5Y3SMlDiGs2cR+9 +5vphltcgHb5YGcu2orUnLaevX6LD7A6jNC5aumWDwVwWHVqDDgULOJHg99V1 +4bbn6PBYmuIojL690fjPv0Q6LDtx8IUkWv2yxpB1BB0yQK+XgVbbIPdhxJYO +A9z2Kh20wtm+h6tE6aBkN3VuH9rAM6SxQwD/3zh3fD96u65Q66F5OShTN9t1 +EJ3wdskATMiBk/dD9Uj0L5Yf2XZADj6FrFmTgK4vGPUIrpeD5VrwrgC9996s +ZMUROdjj3dvVgz4af5puHyEHYrKDtf3oCw4KytMH5WBZjHbBIPrlP9PVZv5y +EKNpVTSKXr32hNtrRznQMTl6iosWeyp+74+eHEwsqbNWcibBjU66q84vWVjo +f9fIC+2dGDYdOSwLb3dSp/zQSkYd5+GrLNx9FvFpPzojJ711yydZCNjYn3UI +fdRVap1vsyxoWV8NSUFvH+BffLlQFkZjyJb30FOjI99FdslC0M59aZIuuN5z +N8Vv2SELYgk/tWjoQNtSlYytshDpUwN0dF+Fj7OyhSys/ntjsQq6JazvhbGO +LEhr0BYboq/MvCsPIsnCffeefb7oDaINYR/qZSDi6bTFC/Tt0hAl/VoZePhq ++53X6AU2i1vOPZCBmxt0qe/RExlxSlvKZUDiVv/kF3SRilULcUkGpP9JKvDt +xv1p7UulaxEyIJsr1ayHfhX6ruWAOl7PrFErRhsxToW/UJOB7SWh8bfQRTUG +yssWy8DFh2Uj99AxAtnhfSy87nTjdSN6VZqL8k4xGRAvreP2oc/d+Bxu1C8N +VksviSm74vroG1YWvigNJQW5cwVo7vFVF+9kSMPy+ROjN9BFymFU1zRpUL5Q +MFCJHnebn69KkIahHYM/GtDpPdQu33Bp0Jje5DmAbu7SO//CThqeZvH/Vd2D +6+FdjEQGGe+PyxevRPeHNx7nSEiD8PN4hUfoJLr4vxFhaSjNXGz4BN258+yg ++RwNNgd+Tn6HDusobPw7TIPRhqW3Z9G32p8fdX5Og6dRm95auWF9vJAZUzlJ +gzNfr4p9R/tsUp0NjqHB157F1uPoW80GwvWHaUBKqMrkok2e75bfE0wDIdFE +B7o79vOmYuMcVxps2WpzZAM6E4xPyhjSgCVfYleAlrjnKSf0kwrW3D2l+zxI +YKsbrmD3nYr78siNQ+gLlaeW5g9QwYY6WheHXlpRZsj5SIWdXDdqLnpD+d/d +Uc+o4HHcIOANOqYkuWg8nwpVkU7M9Z6Yz8uV+l8cqJCgxwfL92I/ZzqRTtpR +wVSsrdkAPZXB16+ylQpnAnsGLNCzyVtS3SyosDKG39ITLXx4cOCjLhXeWnY/ +uYSm27PPvqZRoSzx3X1pL+yvC0Tex2RR4HDEzREJb+zXMnYna1MpoNUUzcdG +H5LI1ZyJo0Cir6fqCvTxKcP48FAKNDDCrm1Cn+0I1Am0pUDKnbmI0+i7ODA7 +SVIgTSUgRtaHBP9mC830Ysgws9E0f5Uv7t/vMyWuhpOBpmxx0wzdfC/+tdh+ +Mhw89Pv5DnT2fl+PLhcyKN0UMI1EG/WuiD1hRAYR/TZaA/pIQ0V9+wSuE+N9 ++538SDCXCJz9ASTYeY+TecEf+4P3HbFOzJuchtnKMvQrs/y2dbjObd1C39f7 +89bnCTc5a9xnanLChtFrAy2PPVpKAo1mxfum+zD/214REv1SYC6oETaC5pfv +Wlu8SwqSBr1OOASSoLTCd7n9NikwqMkRCEZvt5mQE7aUAttZ8tUkdH4c+YeH +rhQMt4SvqkNvGOfkKFCkgNgXc191PwlOtV/7m9koiXPlgbA5NDXlwO2TmpKw +12RbweMgEjxYOpujoyoJj58+kupFuzecSuhbIAk9Qs1Zc+iK6TxXjoQkfA42 +lzEMxvOFX4fU7IAEjKptL7yDvmBh6BeSLQFPi0q3lRzE+ucXVPEQlgDfFaPf +KkPxfTPvF92eFYc9xUEp/6FdlgWs4I6JwwPdm7Zj6Au2b3Qv9YmDnE34Op0w +EtDyiy3fEuLg4DRffRctsH5zoPVhcQhaEqtbF06CgZOZD7RHxcC7a8Bs5BBe +Z1qbHP8qBqq3g9ypkfj8svn61k9i4HJnR5Eu2uWNT0vACzGYkTxZEI1+s8So +u6hEDGzzJIJoh0nQ1NQtyN4rBsdl/MM4R0hQLKa2VfC9KHA/tdnVRuN853Lo +7/lWUVA/0SgwhN5b/uzq8iZRqKocGqAfxefZ+/2yrRSF31bH1wejswtK03NP +iwK11SpILYYEqWvVO0zMRMHMg1mTewzXU6j2rkM3RIDFCH1YfQLP209j+aXy +RUDBodL0J1qH/V/J1Qsi4BBVzqdyEvfD+pDppjgRaImu1UlC+1Pu5ci5icBy +g2Cv3XE4j5Tqd1fIikDhQT4tSgLOD71rPH9EC0OfHN08Pwn3N6aWWlmoMKSF +up/uQjfbLvkRsE8Y3lyJpcsnk8CmgRQx4igMMUbOIylox6LupGEdYahuF7t1 +JAWfF3Cs4vt3IRA7YPLUKxXnxakG/q87haDKsMhm/1msR60HTdc2C0E7d3DN +HbSc/81kr/VCcCZ0Rdg4OvtjhtyXVULgt+tX45FzJCio81o2ICkEtkYSQ6cz +cL47KWrbVy8IjWPr0+A8CT5SN+V2qwsC6X58knsOzidmPvMmSwRh6PVm1RK0 +dcgJl8sLBOFNirfkb3T1mxqGi6Qg1Ny4U3H8Ej4ve2X6+28CcKM8MrroMvbT +xeTYjgIB+LnPZP38VTwv6rd7NjMFYKnag6xvhRjf70f9MpoAOOdZjRhew/jZ +4kqJYgLwtyX+XDK6enZdl+VffnCiWH3ULML49RU7nnTwg3ZsmmNUMcbflGEO +Z/gh58zVbUtKSfDe1WFplTA/DH3MiHhYjvnZSilxmuWDmaOPzy68jfk3fbqc ++4cPyDOB7Fh0tZK+hlUvH1x/NRu++Q4JLvXR9T5U84FWo5nn1wr8vt5vzeYP +8EFh3ViIZhXW68fSRyl3uURENLuIWYv5e8SCN3lcIljQeVsKuvhyUoPCGS5h +B43hXPSpPf7Nt/24hAyfqNFgHQk29S/r7FDgErkPvhc/AjwfD10fW5A4T2Tb +njsT04j5/1e0vGz3HMGEH3S/Fxi/xdtNb/Mc0bK7Laofffay6vlaozlCZo7r +4voS87WuiP+V/Byh6yGYuvMVvs+pa50/22eJTdNv6za2Yb7kC+NXWcwSO52z +6zZ2YH3p5fVVaswQ6XEBrje6SKAr6s5Ys3CGqJv2Hdb7hP3pvZJNo+QMYTyn +w1+PfhaV+7Dj2zTRyGY/7+wmgX7j1bSJ/Gnic03cO/Jn3F/srqzVl58mSGMX +nTK/4HoKysmu5k4RbOd/vpRRnDfqz8q/HJkisgJVFR6iT9OSMnreTxGDxKl4 +z18ksKg4lCp0d4oY904Oqf5NgodjO2NtfKcI2eCxtqBx7N/hVP++tr9E3GaG +Bt80CXyj4gwl8ieJOW2G5i1hMjS+iKpacGaSOB/UknVAhAzKC0N1NKMmibGq +w8+1RMnwodZDfYf9JOG6vSDpgRgZtnBNla9ITBK3EykXWiXJWEfTYtohE0TY +M9tji6Vx30o40LlrwzjRFdxUuF8R96WCW6mNWuNEz6OsdAslMmyo+7FBU3Gc +CDZ5Zq+oTIaU8X13hKbHiP/ElwX+p0IGBXffpPLyMeISQ6PbXJUMHCP3NcLs +MUJ3oCB0hzoZ4ke2597+/Zs4Onc+b+EaMqjkB7SR144SpZWKF5NwH1xXnZTn +wR4lVAIq/yXvJoPb6+sHq6Z+EuEZCutSXclwVeCLrGvlT2Iui5mQ6UaGBZ67 +d5Wp/SQEzwoKlO8lg9xim75NMj+ICRcfS3IgGcSKNMdPfRsiorQDH8YeJcPP +kj/ygue+EjkU4UV+hWQgEzER+wK/EsdeRZ1qvEYGzQ6pd/9ZfiV2N/iuUi4m +Q9C86vnC2S+E4xr1Td0lZBjb7ixr4f2FMJRxf+JTToapmQZqouEAoZBQk/Gg +mgz8NpnilN7PhP7fnG8Or8mwbODApJ7TB0Kt6wk/CFOA8fr5UUHZD0QeZZu2 +vSgFRGCRaPvL98Tzgxa3fohRoC/nnXzAuvfEl4/7kpWkKJBtZ2qYr9ZJOD5a +P5opTQGpBnIU+e8b4q2+vQAoUuBXXhn/4Ll24pL0hii6MQUCibfMVTn1RN2Y +W95EGAVO/X42nkKrJwL3r6v6EEGB/EU1rd8TgMj+s3d1fSQFblJMJS2/1xGV +0UpHzkZTICa3rU/9UjWhu5O8zALnoMWPx9Jn+CuI61dMbvzJoEBvGUe0u8KP +eOIn+HnvPQrMP7y07OJLMOVe4Z9rn6ZA97mfskMe9abRnMjdVnMUqAvk8BlP +1Zva9cRcBC4FjioPvO1SaTBlNxXYOQtQYf7UipNKh56Ytjodz3IRRTtUdxer +NJsK1jdsSsG5jTs9vPFjTbvpgZnaf/mq6Avi3O/Uj6YmRda0epwLe8ZLUoZM +vppW6T1eMFxBhYEuytE1t0ZNx/4Y06eW0yBu1bMvBpHjpl2vNhYlV9DgmX7K +VHzLlKnG2pTpKY40fLoSZLL+yJzpD72b1PMj0pDutTLi4g8+Tp9zTuJmPIc8 +UilWTZIW5GgNvuk3s5eFNor2qJa3MGe8uaXOREMOonrqAsfSRTmWNWGm7wTp +QOtxFg4YEeeoFH72Y/2lw9r66e3zClIcf43r/33ul4dQ69yIRAsyJ51arPzy +PwY089/44GVD5ay8J9F6sIcJRa3xHee8aJwu097Vcj0siLg35LQwQ5oz3/z3 ++K5/bHjxs33zoloZTn+iAfuF9EIIZFYzV7+W5TQW3x0PXaAAAi7LQwrn5Thx +446eRqaK0H8mp1hRXp4Dz4MdXdSUwEo+zVJ+OYMz3VvTvqJcCfKrpEL9dzA5 +4bX1fgwzZdApePrHah2LQ69RkV58Xxn+B6PZcOU= + "]], LineBox[CompressedData[" +1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAAlyAZrU5KGkCxgSnemrshwMOutnul +bxpAIggrZBXOIcA+FuN7gHQaQCr8p6h80CHAM+U7fDZ+GkBh2hxHS9UhwB6D +7XyikRpARxgV2ejeIcDzvlB+ergaQNyUb0ol8iHAnjYXgSoGG0CqT+4toxgi +wBmeQ4EFCxtAkXjSQgsbIsCUBXCB4A8bQC5q+l1zHSLAidTIgZYZG0DBrvmm +QyIiwHRyeoICLRtAgIrzguQrIsBJrt2D2lMbQB++2lwnPyLAxBUKhLVYG0A4 +V8PSj0EiwD59NoSQXRtAwRyDTvhDIsA0TI+ERmcbQEP+bVfJSCLAHupAhbJ6 +G0DzVTuua1IiwJlRbYWNfxtAklwnUtRUIsAUuZmFaIQbQNXktvs8VyLACYjy +hR6OG0BdJqdfDlwiwITvHob5khtAf0b7GXdeIsD+VkuG1JcbQO+12dnfYCLA +eb53hq+cG0DQODyfSGMiwPQlpIaKoRtA5JkcarFlIsCs8KOS + "]]}, + Annotation[#, + "Charting`Private`Tag$14414328#1"]& ], {}}, {{}, {}, {}}}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + ImageSize->{437., Automatic}, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Exp[#]& )[ + Part[#, 1]], + (Exp[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}], Selectable -> False], TraditionalForm], {0.005, + 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.714237192861849*^9, 3.714237278108419*^9, 3.714237681622467*^9, + 3.714238012130599*^9, 3.7142385593897343`*^9, 3.7142395841399593`*^9, + 3.7143106365566473`*^9, 3.71431102573499*^9, 3.714808411992034*^9, + 3.714809186874392*^9, {3.714835274229595*^9, 3.71483529235351*^9}, + 3.714835326867199*^9, {3.714837794557966*^9, 3.714837805193996*^9}, + 3.714839697857582*^9, 3.714840072996578*^9, + 3.714840787423091*^9},ExpressionUUID->"46c82dd0-fcf2-4632-8973-\ +562e13d0e484"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol4", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"eqsl", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}], ",", + RowBox[{"eqsm", "[", + RowBox[{"[", + RowBox[{";;", "3"}], "]"}], "]"}]}], "]"}], "/.", "#"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", + RowBox[{"h0", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", "0"}], "}"}]}], "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"0.1", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "6", "]"}]}], ")"}]}], ",", + RowBox[{"MaxIterations", "\[Rule]", "100000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "\[Rule]", + RowBox[{"(", + RowBox[{"\[Theta]c", "/.", "sol3"}], ")"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}]}], "}"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "4", ",", "14"}], "}"}]}], "]"}], ",", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{ + RowBox[{"b", "[", "n", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"{", + RowBox[{"n", ",", "1", ",", "4"}], "}"}]}], "]"}]}], + "]"}]}]}]], "Input", + CellChangeTimes->{{3.714830189789303*^9, 3.714830247113008*^9}, { + 3.714830370291354*^9, 3.7148304020998793`*^9}, {3.714830438333508*^9, + 3.714830492396922*^9}, {3.7148315519116983`*^9, 3.714831586639285*^9}, { + 3.714831775402582*^9, 3.714831788201981*^9}, {3.714832864307414*^9, + 3.714832868444124*^9}, {3.714833031190621*^9, 3.714833044877865*^9}, { + 3.714834919749164*^9, 3.71483502667636*^9}, {3.714835128182406*^9, + 3.7148351701917686`*^9}, {3.7148352113368464`*^9, 3.714835352474739*^9}, { + 3.714836559965501*^9, 3.714836605646779*^9}, {3.714837576200902*^9, + 3.714837617815027*^9}, {3.714837653153191*^9, 3.7148376671116743`*^9}, { + 3.714837785171094*^9, 3.71483778705781*^9}, {3.7148378204662323`*^9, + 3.7148379295141487`*^9}, {3.71483971418572*^9, 3.714839749209118*^9}, { + 3.714840159953218*^9, 3.714840160199462*^9}, + 3.714841056494828*^9},ExpressionUUID->"6b6accaa-50e0-41cb-9db0-\ +89293eff950f"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "jsing", + "\"Encountered a singular Jacobian at the point \ +\\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"A\\\", \\\",\\\", RowBox[{\\\"b\\\", \ +\\\"[\\\", \\\"0\\\", \\\"]\\\"}], \\\",\\\", \\\"h0\\\", \\\",\\\", RowBox[{\ +\\\"a\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \ +\\\"[\\\", \\\"2\\\", \\\"]\\\"}], \\\",\\\", RowBox[{\\\"a\\\", \\\"[\\\", \ +\\\"3\\\", \\\"]\\\"}]}], \\\"}\\\"}]\\) = \\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"412.00729802041803`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.7240789752532015`\\\"}], \\\",\\\", \\\"2476.741119606096`\\\", \\\",\\\ +\", RowBox[{\\\"-\\\", \\\"2.909007682974441`\\\"}], \\\",\\\", \ +\\\"2.8270393785565977`\\\", \\\",\\\", RowBox[{\\\"-\\\", \ +\\\"0.9174106686023686`\\\"}]}], \\\"}\\\"}]\\). Try perturbing the initial \ +point(s).\"", 2, 1129, 649, 30807374799760681803, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.714840186916745*^9, 3.714840209516464*^9}, { + 3.714840540736278*^9, 3.71484056387328*^9}, {3.71484079729348*^9, + 3.714840837048278*^9}, {3.71484091183426*^9, 3.714841010369143*^9}, + 3.714841066801058*^9, {3.714841140111586*^9, + 3.714841149824217*^9}},ExpressionUUID->"ec208c9a-02d4-4b8b-9777-\ +36402562a2c4"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "412.00729802041803`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", + RowBox[{"-", "0.7240789752532015`"}]}], ",", + RowBox[{"h0", "\[Rule]", "2476.741119606096`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", + RowBox[{"-", "2.909007682974441`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "2", "]"}], "\[Rule]", "2.8270393785565977`"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "0.9174106686023686`"}]}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.03`"}], ",", + RowBox[{ + RowBox[{"a", "[", "0", "]"}], "\[Rule]", "1"}], ",", + RowBox[{"\[Lambda]", "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "10", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "11", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "12", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "13", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "14", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "1", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "3", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.714830247999181*^9, {3.71483038021819*^9, 3.714830403949602*^9}, + 3.71483044066129*^9, {3.714830470737451*^9, 3.714830492622257*^9}, { + 3.714831558794394*^9, 3.7148315869655027`*^9}, 3.7148317884986687`*^9, + 3.714832869144842*^9, 3.714833045176977*^9, 3.7148349538360643`*^9, { + 3.7148349974025383`*^9, 3.71483502734721*^9}, 3.714835170512484*^9, { + 3.714835230592574*^9, 3.714835352841935*^9}, {3.7148365788199863`*^9, + 3.7148366136714897`*^9}, {3.714837601603104*^9, 3.714837693188035*^9}, { + 3.714837736625573*^9, 3.7148377873674917`*^9}, {3.7148378644223223`*^9, + 3.7148379322184563`*^9}, {3.714839749567779*^9, 3.7148397745793123`*^9}, { + 3.714840084699483*^9, 3.7148401109891043`*^9}, {3.7148401633479443`*^9, + 3.7148402095208178`*^9}, {3.7148405407410994`*^9, 3.714840563879424*^9}, { + 3.714840797298601*^9, 3.714840837054597*^9}, {3.714840911839436*^9, + 3.71484101037407*^9}, 3.714841066807197*^9, {3.714841140116955*^9, + 3.7148411498304358`*^9}},ExpressionUUID->"8f7fc702-8ddb-4ba1-b8d4-\ +f00939660c77"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol4", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{"eqset1", "[", + RowBox[{"[", + RowBox[{"{", + RowBox[{ + "1", ",", "2", ",", "3", ",", "4", ",", "5", ",", "6", ",", "7"}], + "}"}], "]"}], "]"}], "/.", "#"}], ",", + RowBox[{"Evaluate", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "/.", "sol3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", "0."}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], ",", "0"}], "}"}]}], "}"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"0", ",", + RowBox[{"RandomReal", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"-", "1"}], ",", "1"}], "}"}], "]"}]}], "}"}], + "&"}], "/@", + RowBox[{"Range", "[", "7", "]"}]}], ")"}]}], "]"}], ",", + RowBox[{"MaxIterations", "\[Rule]", "5000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"{", + RowBox[{ + RowBox[{"h0", "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.05"}]}], " ", "}"}]}]}]], "Input", + CellChangeTimes->{{3.713831066059136*^9, 3.713831114419949*^9}, { + 3.713832086342939*^9, 3.713832087146991*^9}, {3.713832443210457*^9, + 3.71383247590783*^9}, {3.7138325453876143`*^9, 3.71383257899848*^9}, { + 3.713832645046439*^9, 3.7138326560760612`*^9}, {3.7138326991394243`*^9, + 3.7138326994458647`*^9}, {3.713832816558237*^9, 3.7138328172172956`*^9}, { + 3.71383324788846*^9, 3.7138332492651052`*^9}, {3.713833327860799*^9, + 3.7138333291494303`*^9}, {3.713833418470818*^9, 3.713833464722061*^9}, { + 3.713833594839151*^9, 3.713833611792164*^9}, {3.713833751232513*^9, + 3.7138337733205357`*^9}, {3.7138338935803432`*^9, 3.71383389764952*^9}, { + 3.713833977265209*^9, 3.713833977437888*^9}, {3.714130746095714*^9, + 3.714130752417535*^9}, {3.714131444777457*^9, 3.71413146194755*^9}, { + 3.714131811697412*^9, 3.71413182020647*^9}, {3.714132504897458*^9, + 3.714132510886056*^9}, {3.714132583386449*^9, 3.714132583844833*^9}, { + 3.714132701221189*^9, 3.714132701782814*^9}, {3.714133534399131*^9, + 3.714133558984832*^9}, {3.714133594451292*^9, 3.714133599334178*^9}, { + 3.714133656289473*^9, 3.714133659408723*^9}, {3.714133702685569*^9, + 3.7141337095377398`*^9}, {3.714135158602571*^9, 3.714135161377743*^9}, { + 3.714136383553753*^9, 3.714136390710567*^9}, {3.7141366366138763`*^9, + 3.714136640247182*^9}, {3.7141370624049597`*^9, 3.714137067529714*^9}, { + 3.7141374146316643`*^9, 3.714137417524489*^9}, {3.7141376643046007`*^9, + 3.714137667902017*^9}, {3.7141378776131363`*^9, 3.714137881686089*^9}, { + 3.714218827498001*^9, 3.714218869025569*^9}, {3.7142189863315353`*^9, + 3.714218987954876*^9}, 3.714219860194908*^9, {3.71422000943849*^9, + 3.7142200229751*^9}, {3.714220528713284*^9, 3.714220530958644*^9}, { + 3.714222448169318*^9, 3.714222493675877*^9}, {3.714224116376823*^9, + 3.714224124055456*^9}, {3.7142265274866257`*^9, 3.714226537415072*^9}, { + 3.71422755090343*^9, 3.714227551248034*^9}, {3.7142285616056004`*^9, + 3.714228571445447*^9}, {3.714228617742125*^9, 3.714228667463087*^9}, { + 3.7142287129795523`*^9, 3.714228713223896*^9}, {3.714228935225925*^9, + 3.714228938864719*^9}, {3.71422911606817*^9, 3.714229133329981*^9}, { + 3.7142292386320868`*^9, 3.714229245435895*^9}, {3.714230235981173*^9, + 3.714230323990468*^9}, {3.714230396529126*^9, 3.714230414600062*^9}, { + 3.714230688859643*^9, 3.7142306967192698`*^9}, {3.714230804099308*^9, + 3.7142308083055067`*^9}, {3.714231108707711*^9, 3.714231119273892*^9}, { + 3.714234044315946*^9, 3.71423407577668*^9}, {3.7142342031374617`*^9, + 3.7142342182984962`*^9}, {3.7142347884054403`*^9, 3.714234860081077*^9}, { + 3.714235136722487*^9, 3.7142351557932053`*^9}, {3.7142375390176773`*^9, + 3.714237541908584*^9}, {3.714238260860187*^9, 3.7142382853524113`*^9}, { + 3.714238401919981*^9, 3.7142384339898043`*^9}, {3.714238481864447*^9, + 3.714238513094298*^9}, {3.714238562008102*^9, 3.7142387935640097`*^9}, { + 3.714238954945271*^9, 3.714239018460537*^9}, {3.71423906060011*^9, + 3.714239074625094*^9}, {3.714239582453517*^9, 3.7142396877118473`*^9}, { + 3.714239884756308*^9, 3.7142399368332033`*^9}, {3.714244242032011*^9, + 3.714244349367136*^9}, {3.714244528637442*^9, 3.714244579228953*^9}, { + 3.71424464211333*^9, 3.7142448078237457`*^9}, {3.714307979132279*^9, + 3.714308060637074*^9}, {3.714308096391192*^9, 3.714308195724996*^9}, { + 3.714311059986525*^9, 3.71431111843832*^9}, {3.7143111569110107`*^9, + 3.714311158475646*^9}, {3.714311195449355*^9, 3.7143112681014853`*^9}, { + 3.714311335964224*^9, 3.714311364090726*^9}, {3.714311396308098*^9, + 3.7143114163366117`*^9}},ExpressionUUID->"64347503-3722-48ed-946f-\ +0fe086f9b2aa"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "198.01463856703947`"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "0.8960890105706605`"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "486.9849425542388`"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "833.8856231776648`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", + RowBox[{"-", "0.8007178775711153`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "356.8566212896413`"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", + RowBox[{"-", "0.5196255747587503`"}]}], ",", + RowBox[{"h0", "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.05`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.713831066559284*^9, 3.713831112701861*^9, 3.713832085309751*^9, + 3.713832213217502*^9, 3.713832469145215*^9, {3.713832566552652*^9, + 3.713832580159816*^9}, {3.7138326486045513`*^9, 3.713832656563046*^9}, + 3.7138327000043077`*^9, 3.713832817815892*^9, 3.713833249897732*^9, { + 3.7138334097009583`*^9, 3.713833446022357*^9}, 3.713833502321727*^9, + 3.713833599305018*^9, 3.713833647022871*^9, {3.713833769394644*^9, + 3.713833773886001*^9}, 3.713833898074008*^9, 3.7138340429331827`*^9, + 3.714130757378046*^9, 3.714130880596764*^9, 3.714131561114294*^9, + 3.714131753507765*^9, 3.714131828422593*^9, 3.714132512037507*^9, + 3.71413258529675*^9, {3.714133549525511*^9, 3.7141335649308853`*^9}, { + 3.714133632159852*^9, 3.714133660095747*^9}, 3.714133711912559*^9, + 3.714135285413211*^9, 3.714135387844594*^9, 3.714136022737186*^9, + 3.714136480577766*^9, 3.714136640920517*^9, {3.714137064281291*^9, + 3.7141370685324583`*^9}, 3.71413741841052*^9, 3.7141374981567507`*^9, + 3.714137769705905*^9, 3.714138046760125*^9, 3.7141381858166523`*^9, + 3.714216712183929*^9, 3.714217136828486*^9, {3.714218828235538*^9, + 3.714218872339191*^9}, 3.714218958388823*^9, 3.7142189930998707`*^9, + 3.7142198610492487`*^9, 3.714220052703328*^9, {3.71422052396697*^9, + 3.7142205313956957`*^9}, 3.7142205729616823`*^9, 3.714220727485052*^9, + 3.7142207797260923`*^9, 3.714222052421081*^9, 3.7142221371674623`*^9, { + 3.714222437065796*^9, 3.7142224941504517`*^9}, 3.7142226417829943`*^9, + 3.714224124533435*^9, 3.71422535301851*^9, 3.714225566927404*^9, { + 3.714225707618058*^9, 3.714225710971065*^9}, 3.714225744660089*^9, { + 3.714226512966567*^9, 3.7142265379184227`*^9}, {3.714227546726138*^9, + 3.7142275516178207`*^9}, 3.714227904866914*^9, 3.714228531300805*^9, + 3.714228572303961*^9, {3.714228645091041*^9, 3.714228692419847*^9}, + 3.714228774876802*^9, 3.7142288374882793`*^9, 3.714229083432063*^9, + 3.7142291350721397`*^9, 3.7142292459275837`*^9, {3.714230247213169*^9, + 3.714230268921009*^9}, {3.714230391794167*^9, 3.7142304157962513`*^9}, + 3.714230773792137*^9, 3.71423081126753*^9, 3.714231188934504*^9, { + 3.7142340682534113`*^9, 3.7142340767786837`*^9}, 3.7142342252326593`*^9, { + 3.714234800427127*^9, 3.714234852488331*^9}, 3.7142349314486303`*^9, { + 3.7142351496496983`*^9, 3.714235156674369*^9}, 3.7142376372229967`*^9, + 3.7142383723799267`*^9, 3.714238435445239*^9, 3.714238515486742*^9, { + 3.714238601049823*^9, 3.714238794009695*^9}, 3.714238961244232*^9, { + 3.7142390045197153`*^9, 3.7142390196999607`*^9}, {3.7142390621028223`*^9, + 3.714239075312615*^9}, {3.7142396088356256`*^9, 3.714239688272138*^9}, { + 3.714239888198669*^9, 3.7142399403489513`*^9}, {3.714244256472293*^9, + 3.714244346505122*^9}, 3.7142444395168657`*^9, {3.714244540912396*^9, + 3.714244576221293*^9}, {3.714244628438135*^9, 3.714244693061357*^9}, { + 3.714244724619122*^9, 3.7142448084888573`*^9}, {3.7143079801761637`*^9, + 3.714308063777339*^9}, {3.714308101068984*^9, 3.714308196132579*^9}, { + 3.714311113224114*^9, 3.714311158964897*^9}, {3.714311196525712*^9, + 3.714311268705459*^9}, {3.714311360849689*^9, 3.714311419331312*^9}, + 3.7148091896052513`*^9},ExpressionUUID->"998aba92-e9ec-40f6-8038-\ +e57794445458"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", "\[Theta]", + "]"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714237753134924*^9, 3.7142377532661743`*^9}, {3.714239104313715*^9, + 3.7142391047056093`*^9}},ExpressionUUID->"f9e92c1f-29bb-470e-93c6-\ +47064124681e"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwV13k0Vl0XAHBKylCmzDKXMclUCvtUiEQyhQz3UalXCYW85oQUMhSSLzKr +JDNFEjIUMnsGc6bE81xDhlJ99/3rrt9ad+1z1t377H2ulIuHxaUtTExMtsxM +TP89f2zVeK675ZxegciXzgrJWT3Fh6L/UxTVBJXlAzxLUs3QgJ6lbIoYAEe0 +Yma91AA8SHFJmhKxhvHTQs3ZUtOw0nBiN1XkEnAzX24Pl1qFfNtyyz4RH1Ca +9pZQl2JFodnXbnaLRMDmkG0cs6QAWmg12tolkgS03XeNDUX3IbdDWhFsf3Lh +tlFBhOOyFhKmOA6b2BTDgWSx2d3LCLnuaJmpT6wA5eDrQ8Yahihl6gBXL6qB +osmEGsF3JsjOpK1lwbAedkXWdwufN0dkf/9ktK8RHKoU3ssuWKDTX/84KK5/ +BIXqsngNM2tUoclkHpfaCsMbtCZT0jnE7Xy7u+HmZzB7a3u8w9sOYTdCQrz2 +dILVz0ee9EPnkYVzQSLNoQtEy9MtFT46oAW8q/BSSzcoHryctx2c0I7YxM9F +7d3AlXNKXFzfCUkrWM2tdXfDJsPR66CxE7IhDcrdH+oGOVXjfDNLJ1TfPZxV +tNgNQpm1BhcuO6HE0rnHa6I9cPdg7dzKAyd02Jsl4p5nDxy1Ch+spDmhsLVD +jq+Ee6FR/nhe+lVndOqhgPAViV6I1bR5re/pjHgP/OiT3tsL0n9bZ6e9nVG2 +a+npx6q9YBO847tEsDNq6lfWuXOyFyzi30tejHdGrOVSonY+vUD38FvUKHdG +9zw5KCzdvbB5YNP4x7ozsuCce/R+oBf4hFriJH87I5GCVnP/oV7wORW0mc2E +oRejEa2MmV5ImeZ58pEFQ5/MmKqpf3pBfOpV5iInhjj3/0guVu6DPa9Ea+bF +MBT/bcTKIaoPrpyv/uZ+lHhf6ZXeZmwfsC7t6NXRxRDL9QD5/z3sA/VFGpUN +MOS3JLhJS++DkrsBBunHMUT6ZZ59vqIPnIy7w4qNMaS2s3HRfqIPLG6cCPU/ +h6E+1fwHdjr9sF3/fEG2F4Z23fTx2zjWDyvf86W1bmLIqOKES+rJfnjzMrGq +2RtDtdpjmhSLfghtJqtO3MJQ7nHhYdt/+kHigaXTlmAM+VpFK9km9wNHhUXc +zD0MCfl5tNrg/aAuPfJC/xmG9pUnFyT96IfA6jyrO5kY0sDfRfX97Ie0E6PW +9VkYMr/CaWyxbQAk1y87aeZiKMr2eZupyACw6dlHcrzA0Mbhr5/09QdApDF6 +35UyDFE3bDrUHg+AtgHNbqIJQ7Oawa+8ng5AXVww9ftHDK165cYWZw2A8IZ2 +yXIzhnjnlk1VXg3AYMcQ9qcVQ6eo8Z0KDQOwz0So9W87ht6+/fRFcn4A/pUz +LSntw1BagF7PLjQIkoZXu8kTGLKpCjvz3mAQONJvz9d9JeItN7d7mAxCQNY2 +3uxJDN13O9PSZTMIs09sAi9NY8jfDqtNdB+E3E7lzp5vGLI/FJYnkDYIQZcP +XDmDY0jgZrNMy7NBuMVXryiwiKGeIvbMW3mD0Jc4vkYlfGrfwzRyySCkP5gr +cVrG0BH+nPgnrcR6ukW5ZqsYEl7+6C++Oghawe0JXb+IfKqwr3f+GoRt7jZM +fptE/biZ+YQwk0GYOvHvnt8Y2jEx4DHGSYaTDooPXP5gaL1r5mKWDBmY/VN0 ++plIiFzEdmbfWTI0pO2ocdhGQo/mTNsHbMgQs7gyMknYfF+i8V0HMtzUzNl1 +lZWEWp+K6M9eJgPDPTLBazsJVccoab8IJoOG1na5y2wklOJmKqNSSAaDfW4Z +K5wktO/ZXHJQCRkiBs6l2uwkocr+u+wdlWQQsrwwVkl4ADUsXv1AhqfRfDY3 +dpGQgOCh+ucDZHgnmDvex0VCeaf71DdoZPiQbWKowE1CWmFe+UbjZLD/nLQe +QNh64eWDme9k4DZxMBTjIfbfKOm4l5kCgU2lUUa8JCS78a7Lm5UCxsjHIY5w +ucp5/SYOCkyreAb3Ee5LTVK6IEAByZNOr+z4SOjiF7WMUlEK+Pn9+zaV8ApL +F+8WKQrwK+8RIBPm82T/+UyJAsnvzd+c2U1CWbn57rgqBV5FsTPfI6xG0x8H +LQrcynuWUk/YwjCkdQRRoM6oukSRn4QSxVaSxWwoIKv6N22OsLRFAvu18xTw +YGZxFBAgodK7KsE1GAU0BR67I8I9S1cu2V+lQNfG56A4wi7yrJTnnhTgOJcW +VE54yTH79IYPBaJ323UMEuZpG1Z/HEqBzxeYHYUFSejZH//8mQgKDF/a8/QQ +YVUNIdFD0RSgFtzfb0W4/p+KB5HxFIgNcNnlQdg8w2LLQBIFfl+pgyjCY30M +n71pFPA6XP0hg7Ane+w372cU8F/451EFYSak6NiUS4GvLQtVbYTjfVq6+F5S +oPqEk/IQYcmXF/UvFFPgjPDA4jzh4jHm6tIKCujoeu7YJIwEMpS21FDg3NhJ +TzYhEuoy0ck4W0+Beg8/BX7C2G0Kb+ZHCvQ82qMhQRiv9I3EP1FAQ9MyXo5w +6DzfT+iiQPcNTT0VwlzSJe5x/RTofTmmq044/ZzZ+AiVAoX+XnFahFViv1up +jFGAr5JF/TDhuoao1qApCmzzqpL/z2bre3U65ijQ8DPP87/3R/Y3vhbDKdA5 +grP/F+/6BUzm2g8KrEyWru0n/Ofx7+SanxQ4zsNx6L/9POh8ws7BRCXmm2Cb +OOH2rdai7duo8OaKRQMfYXZtLuVYDip8ivvcyErY6HqbjhkPFQojXnSsEd8j +IvuOKZcgFcbYBMemCTeQdZ26xKiwqqL9q/e/771r/XqCNBUe22tLvCesd6I0 +xEKeCrcN0OkCwoF+1+L5VKgQ9ss3LI7w21f7MvvUqfAvjbXBm/D6xFhJkjYV +HFOEOWwJ3zS17hU0oIIQu+dbof/yE8Y1ST5FBeWmHVKrRD3Rq9pWUs2pkI91 +JnQTdpPWExBzoMJPcmxiGOGCc+v7hklUiDQflbYlPB1Teij9MhVGxjnrlAiT +1vbZSd6kwrDIa/4Oot7Tlcf/GfejQsJqUM8TwkOkNP+sYCpIWQ0/cSVs2871 +P9n7VDB6sO3MOnF+kpk/FU7FUUH0kNLROsJ9WuHv8pKoYPDziXoY4TOZ6yPy +mVQ4uMF/ioWwoe+41P5qYj2Zat5F4nyHv0xTo7+jAjnHzTWfcMOY9YnXjVSY +YpprOU9Y1+TTxYNfqLDWI1BRR/QPDcmyfM1pIj/1r3Xdif5yw9q9evU7Fa5V +mW7bTbj4vlxb1SIVWljNh6qJ/qT0I21O+zfhJMs3m0T/kv4Uvl9vNw00xvZq +uhP9Dfurp/dXmAbvGsuCWAina2yY1UvQIErLYjCV6I/CGe6ex5VosJPjaV0d +Bwlxe9uUGR6ngahV2IVFop/+3iOvfcaTBiu77Q//JPpx4Ub3rR8+NBDRTpP3 +IezQH1CZFkCDLCFdoLOQUG3MF/XZSBqUb7k7Rt1KQv6/fFVuP6WBqUjoxlNm +Iv/kjzJln2iw+uFy9WdiXhSUe7jYddGAkcyuqED4XLxw5t9+Goh9rv8YTsyX +ypPu4qfHiXg3nQK1fmLIp3K38NQaDZJ9Di7cWcPQ0sMLuwT3DoFvdvPuFmJ+ +ZXnsNH2nOARiPeoG2wmfNamKvqA6BFVxZdkGxPwr3sLBVnx0CHJWVr7X0jHk +4VW61dhiCI69GyxO+o6heTPmDf+QIdi/nXoSJ+brNFvG1xHKENhOmj82GcCQ +22imkOzoEBTbrw+79GNooTzH9J/JIQj9M5DkR8zvFecXVcv0IXAqVnXM6MHQ +lsqK6B0swyDjIX2W2okhCZd2dTWVYaiKkdzG2oIh27cbdyLChqFN1cBFqxJD +Q3Gb1Z/uDsP+wXQ3sQoMOV/6u8AVOwztEZYLTOUYcuXeZvskZRgC7cZdPpZg +yNuVW/l14TAsdUgL6LzCUAKvXB95YBi6RJKpY9nE/c3NSlZZaQT4x1K72eIx +tAneqxOqI0DbUd6V/QBD+/kftaZqjUCNpBu3Tiwxv9/3Xtt+fATsRfdbXr5P +3D92W1ZM2I7AWa5yvCAcQ+PvzhqmRo5AbsjiONmPmOfcZ66wToyAvrWxE90Z +Q3JVxoVjj0dh8ubgB1YFDClHNnhrpY9C/H6D3ZZyxH3Q+qhuTPYo1J5oW3u6 +F0M6y8qdh4pGQUop9uYBaQxZHODGHzSOwq02B6NjohgKzB9Q16WPgp5r2lvJ +nRj69rlkuF1qDLKqtXqyRp0R1OpdUrg1Brztyx8kXJyR/FVTtSjxcVBNPfPi +iqkT6uTazBLpGweZ6HvTr1cd0CK9bSQ6aAIm86tq2R6eR92Nh+pUNb+C6GbF +XALDDtFdn5wP+PYVSlbunBjQskVR+mJNOQmTgFc5LUrctUEjgnpdzEZTkHye +Q94lywqV7g3J112aghOS8wmbvRaokblCRyJ1GlpyL0b2sZ9F8b33fTTMZuD9 +Ifksfm0zRBsN+Vd+bQYufbk64/HqFJoY3y1lXjQLTIZHZwSXDJGreNtDG7tv +8N7zku2O/51A8go3mrYwz8GLpsgNjXCE8hRqHk9UzsHRPTnm5e1HUOZFmcOZ +2HfIPTYWRwvWRHZJSgEPhebhRaEPT7qTKjJ7JB+o1DEPezgEf0dvl0ca2+zO +dXyZByzveF7RNzkk4ntPzaNnHoqmKvDJz3Jo6tzcbOngPAiMmt2IiZdDgaKF +1kcm5sG5Je5ii4gcepF14IDx2jz0JBh00NX2oe0lWhOuUgvAw51pyH1DFtV3 +6Btl+SyAQ/J9ixklKRRUt3Up0G8BJiPnl6e4pdCR1w1p5wIWIJFPl2XzhyQq +i0cMztsL8PGrzI3r9ZIoz1In+VbMArw59uzONRtJFENRnzydvQCzSRdLnuyU +QLZT0qFrXQsQ0eG5S2dJFPEPjCv09BLr68hm8zWIop7mZ72FAwsg5ZUxL5wo +ikwKxOVchhagw2Y5oVRNFOldFelsn1mAg9lO7Xy+Ikh2kUcs688CDAiKUxO3 +CSPGJlP1aWU6hKekx1w8KYCS3eaHVlXooClIc6NICCAd8iBz5kE6aP8VCvZd +50f3y4pMfmjRwcgnV0XhBT+SdXMYfXqMDhykZElPLn5kP1jFyrChA//pd/oh +43zoY8l164TbdDiAh3z3yeZB1yTs/Y+G0+Fvj1rOVCgP4o01yJiKpIPHqkR9 +oBMPwq6IfdOOoUOFVxSzlAgP+in+KXAimQ5FgVlN6CE3Uo3Zm6NeSIfq3tJn +L4W5UJrr0FL/AB2CZpMzFY9wIP/890U3KHSorch5PPeXHdnPZrlxDdFh21oA +88pHdiTi9s+E0TgdDqsW909YsKPH7qvdNd/psPrR64iKJxtK9uYuyWRiwJcr +EUtXqrej+DB9D3dFBnSGW6a3B7Mgz0Y5Jfb9DPgjFW0eZ8qCzrBwzOQdYIDv +oGfkYzEWtCuy22lMgwETtaf4gmu2oth7TmaWwAD+ztn6xM0t6H68335tKwbE +qguc/hTNjMLTC7+zBDOAISLublbzG444i/tSQxmwZehYyt4Lv2FRIp6p+A4R +b1RX8AnHb3DKvMl//h4DbhXZf7Zz2oTDOUeg5BEDTlHwFkWOX7DwvDXR8SUD +qDN8l1pur0OO25E96kUM6N00e2Oivg72SoX5O0oY8A/9GP3y1Bq0FsbVllUy +wIvz5T1XkzXIem0zzdbAgLt2pRY3xFfBpmJSu5LMgOS41QrPsWXg9LVpiqYx +4MVx32rDtGVo1Go1I40w4HpXbUqRzTKoVr+8wDnJgG/Jb86pfVkCjpobsS4M +BlQdWHnxp3kRMCzUc/tWHA58qzBKz2LAbtddTWXCOKRwvn3zPG0WJsOHDVlF +cZgOdPzFc3QWyrML22zFcCj5c80Ko82A9fipL7/FcQjzuocKxWcg2eEu9aQs +DgJ31W59fz1F/OcwLdJUcAiIctthuzkBs15fbqqo4mC5fNW16fkEVMenr4Ye +xGHARw/YbSfArlNnc68GDs8NAoQlqsbhifG/2z21ceDa7qVvEzIGYmhpD4s+ +Dk/amPCA60Mw7/ThmY0BDlaJU8dqvtKgNihe5rkhEb9W6XqiPQ0ca1QUzIxx +UJdlOs1sSoV0rasaj81wEHnodPW1Phkk90+eUrbDYadskcmboD7ATco6gu1x +UByWFsjg6IN6tzDz7vM4NE+8Kvn7pBdIBZI2vk44sFUw9SvU9UCWjCOp/gKx +votz4Tx/N+wVGbhldR2H0+iO7E/edihd4rXr9MBBRXXu8ImTn0Hv85kjRl44 +VOoPRtGDP4FtYNvmUW8cTik3h1qvt0LMSO1tGX8cbtTxrDbzNoNw1YbL0wAc +3uNvD4WTPkJenJa+YBAODYZ3zvuWNUE9KmblCMWh/thO2QmsEVaysqOXInBQ +UhM31Rivh9sBY9eu3cWhkXER+2FUD7us9phNR+HgP9Le6nf5PchvS+GmRuPQ ++vxwSpTsO3C4fD/pQwIOGvobO/dOVcM3aPE9+hAH9LLdv/xrFfgKsdhWPMIh +2TjkJX2mEuLbgkSep+DgJDPdfZC5ApqUvDLin+IQ6SiQm+RTAmdZikLZM3CY +867+s+dZMYwMzZHCn+EQmz/uRcl4DeuxF2X9snGo2zOibxVcCMr4uefOz3Fo +cXc+c6siD960PrpPeYFDJnPgbTGHXDDM7L5qWYgD95ZRzhDOHMAsTFROvsah +PJYczHs/Ex6V65WpVOAwkdyjxPs9FaRiAx4VVBL1+/OhPNaZAkWXqn2kq3Gg +NRukBjYmQauA2mGBGqJeRfKLDScSwJpxXTi+Foent3fVRnLEw0TLy59sdTjs +arZg846OgU2/ve9+1xP1NcLsr02OgHtnXdJvNeAgURBZ+eZ1GAgoZoQsNhLn +56yzWbNZCKjShI5PNRP1xcZycnTuJrwrs5ZxbsWhb2PiSoOSO5yKSWShtOEw +xDh71f6XCwxc/DJl8RkHn+IClcAIC7igy9nS3k7kP8f1gXqql97/AUY0UD4= + + "]]}, + Annotation[#, "Charting`Private`Tag$14325609#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.05}, {0., 136.7568602649704}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237753773918*^9, 3.714239105669983*^9, { + 3.714239676361083*^9, 3.7142396931215553`*^9}, 3.714239898385358*^9, { + 3.7142443243230257`*^9, 3.714244347297243*^9}, 3.7142444399106407`*^9, { + 3.714244517506166*^9, 3.714244520498968*^9}, {3.714244637156879*^9, + 3.714244645686345*^9}, 3.714244811167714*^9, {3.714307982056754*^9, + 3.714308036217358*^9}, {3.714308103203912*^9, 3.714308197232725*^9}, + 3.714311272693912*^9, 3.714311421479597*^9, + 3.714809190924062*^9},ExpressionUUID->"3d9384ea-ccac-42c5-a146-\ +9ae6ec18f20e"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "NY"}], "]"}]}], "]"}], "[", "\[Theta]", "]"}], "/.", + "sol4"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "-", "1"}], "/.", "sol4"}], ",", + RowBox[{ + RowBox[{"\[Theta]c", "+", "1"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "/.", "sol4"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714237144557452*^9, 3.7142371513264093`*^9}, { + 3.714237693385809*^9, + 3.7142377327690287`*^9}},ExpressionUUID->"7ed4723b-aedb-4249-9052-\ +891730eaf170"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJw1mnk01G/UwIeEVLLvJEuhhSyR5FIp2VK/QqGQkGyplJI9EkklEVFISChb +ljxfuyT7np2sM2NmbDPW9/ue877/zJzPebZ773Pvc+8957vHzv3CDWYCgbCJ +//zvf53DfksHBwIWJ+ViymOxD2NPqeFvv07A2gtYE70M9mEGQ9dawJaAuQg7 +fxvW2oc1mkfrCVsRsK7R31K1e/Zhbfrrio3ncS5vJnTN7sUGFZpZlI8TsE86 +7ofZA/ZiC2TP7HVefL2YyLfMHFlMl3x3i0LQJnI41RgQLi6DVfznJ/9HfAO5 +jj8WP78hiZVQLf5KtKyh49tvnVVtEcPe7ylUXnu6iqj9Vmf3nRPCjGM27Xbv +XUE/RN87uzDzYV4nhXZT++hIm0LK2h3Ahbmoieez311Gdn7fhPLcOTAfczbd +ULdl1GZmso1ozoGFe1P/bL25jBiNh2+q6nBgmT9rJpmvLqPvJq9d5rk4sCk9 +N9H1M8tI76XicYW8bZi9GQqkii6jnKS3XN4r7JjVfdvzfVVLqFKpVexFNBtm +XPyJ/IV3CelPn1h5uMSCaQshtTDOJXSP7Js4MMaCKd3v8XHYtoT2z3anG7ey +YDxq27fv2VxEHIOPVi9lsWA9uR77YmYW0fZhFirbdRbMPv2YjX/FIhJ59ebi +QtsW7OHb1taL7ovIyb5mnusnM+ayNCOk7LyIqo/r1sllMWPWl1hsdt1YROcI +wZkm8cyYDq86+deVRaRfXl9Z7c2MbX2RwAGnFxFnlttRS3VmLCrE8aS8+CLa +fadCXLOACUu7t56/3rCAzLLL7ATLCFjmk4e8LjULyEdwz2zlFwKW82b5dh9a +QDB7i+EfT8B+FFAPFeUvoEBOQy61RwTs9+K/dI/EBRT7/tkh/2MEjHKvKWHs +9gISyQm0fei3iRaeGK6ed1lAqc9TpbVtNxHjTf1lzGEBKY9/3lQ4uYmYCysF +3lsuoEhmKdMAtk3Ev1QYZaa3gKrCRWfkX20gTa+k4F9CC4h+xq0Ry1lH2iFi +Y+q8C8iRhSnsRPQ6OhkTp5u2cwEdFTVpn3+wjowKX28EMi+g4NU9MpMn1tG1 +pdAHWsR5JDHuvk+ydw0Fe3m45KB5xOFZ+dVh1xp6GkJqEC+ZRwcGbLfKL6+i +5zHO8hH584i+N9VJdmgVxRTaTzhlzKP/Pv8rb85ZRelLFjZSr+eR6bUrp1ku +rqI/XroX3zjMoy6f5eud6Ssov4rkYmc7jwKVlxJYYlbQO653TxSt5tHWqPiS +e0EryCGTVvjr/DzKyXe9KXVtBREGU4Q3tOaRCBcY/xJeQRMKpsq/1ecRs5et +1P5tK+jP/TWDWOV5FB2FQnvpDPSO+5KPstw8Kk++f1Kql4FU9ViHHHjn0aPy +ArdX7xm433xfVuGcR3nba61CXzAQ09BVLqZt88hJx2yqK4CBmh4U6cZv0JDK +1s9SkY4MlF9z/YoTg4Yyrm2RW7nCQPE8XHfUFmgo1ui39y8TBnLKckptnqah +/wLuxserM5AJg+9nwjgNJTZKeqYcYCC10xWdN4doKNBoIFVIioGYh4XZWDrx +8eGyk2acDDR1oHZ3azMN9Y78DZXZykDN3p4aiQ00dPmkX9+tNTpK4P19UwOj +Ie5g/nRPIh0F2twP3FqKyycgsKDxj45ufpWObyugIfuPhfNPBunIdKU5LymX +hq4rbb9p3UNHR874NLp8oaGIBbJWVRsdiUXL/TuaRkOXyHX+pX/oaMtIxzrr +RxrySr/mYfCLjmYOBgh0xNPQx9rWO3dr6Kjl4UHFjzE0pCH1co92JR0V1vWe +cXtJQxPSwTpZiI7e84XYHIugoZAVjYaqn3QUbKvszR5KQxRNZVJYGR05Zw++ +7AygoenLRrtYcDZdfZaZ7END/iZaLeo4q+urV7nfpyG6374d+/H1Em/G/mp5 +0pDC7MXBsXI6Yhl9sbDNlYZ89y2nOFXg8h3S2tntSEN3kzg3UTUdtT6akk21 +o6GZabteSj0d/aiP1r5tTUO6eS8dmZvoKJFf11zbgobidhw+sNaOy2dHct/+ +Hw31HGde/Ye/i7dy4p72GNNQvdnhtbpROrqwpvfxkz4NaWYl5GTO0pHGWVqx +50ka0paToMQs4vLFJLaBNg15NjQtvSEw0NYxg9kdR3H7Dmhe/baDgYiKy1v6 +VGjI5dAj2XlhBmrzSRH7fIiGFiZk8m7IMdCPX+fU7srTUNXDjW5eDQZKElgz +1pWhoYda9q3sZxnIJfei319h3D80Q2yX3HB/3v62tpKPhkSJtrS4IAaqd+jd +mbmLhqIjlirS4hhoqUL00ksO/H4y+O7If2MgGfGrCQ+24vbRPrZTsYGBLjz4 +MHaNgI+H9NKrxxnIv31U4cwqFVkUVjHohBU0EOZYzE+lohL2j6N3tFfQjn8Z +hPVZKlrLCKvrxuNPU4d4ZnyCiq4ctkjgxeMzZsmj63s/Fb07+uiOSfMKqj6f +J/6um4rGud7MOtNXEC1r0T6gjYqcOAQocdKryOT6w/lz9VSkEfu74Yb/KvIp +L9NUr6Iiz74XVqLfV1Gm8GaARDm+P/2IFt/EKmJrCeIi5VGRwbl7N8kX1xCm +9fzgsyQqMrG+R7IyWUfkt813b7+jolidW/b6r9aR2Dx3mcUbKmIXNBDV6llH +DzJiDPaFU5HXPl/dxzc30GGBD47VXlQ088skcuXtJrK5PZr95TYVaS5qD/aN +bqLIRpmlVy5UxGz+qqObn4CV7XM8/tCRitJT+OPjNAjYTGBGsK0dbg9qfdyk +BQETGpz9rW9NRS2PfIer7xGw00cP8SpZUJHoY2/K0nMCdjfa44rgf7h+DpUC +y0kELHnu+8cNYypaCnBTGc4gYC0Gi1P/9KnIKDGTywLnjU/qSn9OUhFfDT/c +wfPHAaaH9/O18fPt27Vf+RAwS6uy8vijVNR1Ki3miD4Be1a0sTVIlYp6JI8P +JlA30Q8eXWNnRSp6ekWEMYOHxIRrUPR5BXw/LlufS93riO9XzV8NWSoSYFas +oqutoRMy7NKSkrh9BHc1WnOvIA8/A2c2USpSeb5i12OwjBL7Ir6R+XF9VF/n +7i+fR41qzfROLir6cyeJrzqIjFaiuHV+bqeiW0VzzucujCE54n+hqaxUZLqL +9FhZrxaZnYlpCmeiohM5kS0rq53wJLmH/84aBZHngzNdLpMhf13E+soyBRns +iTMwXmHAqIV1qi6NgibVipjio5h1uPKTZuVIFISceYrvh7DpaO8aVeaaoiBC +2L7Pm284dFycZR4uj1LQFwMl1id6HDrvahwqBgcoiPPesKbVMVadeskM9toe +Clo7MVRDYWPSWXo0e+5rOwXxybfdfnRpFTSevsyWbaKgr66ikqpDS+Adrb4z +sZ6CPAMXvES+zkPJh4FbAlUUdCJd6lnDESqsZQU1RP6kILbQKCtHbzIcL5aX +Z/tBQfMdHD0TarPgW9Mc6vedgrosOu8re00B1npvYjmLgqJ0v3w4LTYBTIOi +eh6fcf12FhRz847DiZmKlKmPFMTk/9+BY4ajELzkyGybQEGbAmwOOsXDUMPM +adsbQ0GjT/27X6cPAuuufHT+JQW5vPm23q7QD/qiVyQawilIrl13Qo3cC2H7 +CI9PhFCQz2CdzO/pbmhQSftb4k9BlONP954U6IIdOkaaKo8oqOkNi9AL1w4w +NqLFfrlHQfrnArrfz7RBpEXssrQHBdkpabfKhbVCi722WYIzBXH4h65F6LUA +9+3xfL4bFKT6PMb+8tEmuPD4Ge/zaxRk9dBMNlewEaLDlDy3XqEgempn7t09 +DSCQ7KO4ZILv/yegPPBzLVhkS0W6naWghaINdUHxGogrqSdOnKQgLTPr5vDc +KuirdTO8po3vR9sIcLpWCWLtfJndGhTU6G9R6b2vAqyHSthNVSjIlL3kdB0r +BomzNo71B3E2yHkvtPwT9rB8lSmWwv2Dc2/VM+0SsOP6L+iwOK7/vy7R5Zgf +kCrGGMkQpCBJWXbns7uK4J9cko4UDwU9fSYhd+VTAexV00t6t4OCPNikBJTN +88FJd3adhw2X//jgCot0HmQYv7QKZ6KgaLZInoNs38GisUSFTpxDjRkcKZE8 +ufB3nJU6NTKHnB74fz/ilg1X1y9k93bNIdMtKpPHBrJgmD/pVsPvOTQsIr+4 +6v4Frh+alSvF5pCO1lFtd5lMmDitPvGlYA5FGfh+zaOng9O1oJSEzDlEOah6 +edvsZ5i932zzPGkOCTX89G9mpIFblKiEb/Qc+tDn/jdAOg2o6Y5/3cLw+TwX +DxU6fIK7FXmx13znkKSph6RIZSos9W5eMr2Dy3dL9/Rt1VTwphny6jrNIewE +99XXZSmwxhHbcth6DinRkoucL6eAr/T4c6kLc0if5UYlbVsKMGkpGfKemUP0 +Gws/j/xJhuCLPuwsWnOI/bBOmGlyMrC61tcsKOH6mnI/d3yaDGFP+IL+yeLn +mYihHN9k2JFoo9Mlgs/PFy51Ck6GyMKs9dpdc8hDMGuuPzYZuJvpJUUs+Pgu +sQGb0mSInjz1IJ1BRvUbCvYXZpNBgPBSLY5MRvqW7tJCcikQJzRACxsjow9e +PSOSt1NgODNURqMX57S72/tRCuw9rmw20URGD7wTxO2EUsGluT80upqMPHj+ +rRs/TIXvtqHFJ0rIKLbxmQX8SwX6/OFZSg4ZaXiSLfosPgGE9IslfSIjwhEe +x7qOT9CYedh/NYqMTKf9dxiPpwHP8f5vGSFkNIU9fnb2/me43BwyZu6D738r +7tE17nSYmP97Ot+RjOhab1urLmcA4XjITldtfD3W1BKomgWnm5VAVBUfjzx2 +XZ+RBc9t/3r8kicjpeHkZ3pVX0EkRKlDlp+MhPTG+KQcckC1ue/d4CwJcSlt +mThy+xs42SrKmcaREMvlN5S7Zwsge7738kYkCekYlk82/S6AxSfB4VnBJJT9 +udT/7blCCMzsJbN7kJBzs+WytmURJMwHFVScJiEjI9mCpwHF0PKk54TKAhHl +3q1ntiGUg0ZmgLXAOSJeFxo58dVUwafE+Z8TJ4motHDZebdINfC8viFRpEFE +EYZNTHbu1UB8dHbIXIqIrMxXXwSI1ECSMbdt3OIscmrmberxrAVW6gd7sYRZ +FCX55edH+V/QoY7dkpqeQfQKrQ3yhya4XbPhfShoGmEfq/3b8zrAjyVoxLp6 +AsWmfhqsdxwE7Rd+vJIlE2hIPydcLWwQNoR99EZzJtByQ3F8ROYg+Crey3CI +n0AbKZJ/GEScrzjedvecQNl5K0PNHkPgm2vIFCA5gUSjjIJUNIfB14pvT6rP +P5Q7uutorNoI+OZ/splRHUeaee7K6dvHwP7jzYom+XFkkCZW3yEyBoaRB6Xy +JMYRPda0ckF+DIScCsYesY+jDQtZGqf+GHwTrXHY2T+GAm8Np2QFjcF44LiL +UtAYImYcTYmi4+vPS3t7tY6ivrhkS6HecRAif3jJ7DaCVmS8dyp7TUDlxSqH +1OsjyC2+9Wl4wAS4lP47dvryCDpnG8jzN2ICKp4qTISdGkEm5oevW6VMgLN0 +via36AgqHFR4ONU8AaUWdWO764dRldWfpwr7JuFqFUntuNQw2h7u1uHVNAns +ClzbhwSH0c80e6H4nkn4HqU87L9zGHlR9hEKRyeBs4zMF0YdQvVXOZqalybh +GpWp/G3iEIqM2Jx8LTEFzFZyXAX0QdTacvKYncsUnDl8L38uawBF+7Q912Ca +hqlK/bL7MQMoqVrx9wrHNDy7KFa96TeAPsfa/fzONw2N96vad/03gCzoh3q2 +yE2DaTn3vCKjH21MWEfuN5mGK4bZhz30+lHhqxrFmNhpcL0xmU0Z6EPq8akP +mfbOAOdySeGDuj60a+ZrzZNDM5D7NLKc8K0P3ebWCiCozwDti1oTV3AfSvav +suk9MwNetCCSkkIfKjpOshG+OQP+fpIHbnv1IsPf1ebdGTPwOu5yBpWzB32w ++cLlKTMLF+yf3Bqld6OE3K/sX/fPAo/it4Pto90oyE3u7pDyLLyqZv+eX9iN +TmSkFyvo4jxXVHL/ajdiOscUbmk9C1F6Ao3rX7tQ1HeV9wrRsxBJbSNvM+5E +sk/67n1YnQWTso3clSOdqKOS2bKdiQicoQp3ZiU7kdfijPEGGxGeiwUuNy50 +oJKWs+5afESIOHOYEJXQgbruhO++coAI4e9fcAsQ2xHra3vp3ZZEeHrWSFUq +vA3t5M0wJn8nQgub2tBzrzZ0ftS4tLWICIK14s8Ytvi4FWtRdhkR0k7MDbVo +tKFzy+M3LtUSoerYq3C/iVb02p5l/VIvETYO9oz267YiaqfV2N4NIkzJ1Esp +UpvRLIPLS/wkCe5/jHvAWt+Mdh7d26hxhgSsEreaBhKb0dxAOK+JIQmkBTkf +Rhg1oy2PGgMc/iPB1W0XW6c/NyEZxvr+c9dJ0EEa8ku9+gc1xkQqMAeSoKJw +uV+4sQEltIfmMZWSYKZ0guSd1IC+GhfMpJeTgKeic6PXswEdeVTseLaSBHa/ +8yTfCTeg5DO54PWLBCzD7vYijr/Q0ILcT79uEuhvm5oVYa5HplZOERdpJPDg +7F572FmH5rftDn+5SII43tqdf9Pr0Odz3Jt1dPw88VTF+HN1yAu1nt+zSYII +ZZs7ou9rUZdh7dyT7WRotuxZEdWoQao58/bC0mSg29Rt99leg9Q+fF8ly5JB +0qFQrH+wGq0ysyiXy5HBwyNaO+FJNeKQ1A09e4gMPE9MA8Xaq5DQWU0hvqNk +MMuu3ybuVok6DWhjD43J4JtXJPJYtxJltTe+nD1Hhs8/0vYP8FWi8gwPFrML ++HmVwcbvSyuQqshXHSFzMsR167wU31aBDruymF6wIUMxk+dhLX2ErhXff5l4 +mwxyfSeXJhfKkXHGv+awO2SI/c5f+vojzjURpe73yOB1vfjU7MpPdMbywYf9 +eP2qXEOwePe1DLXJBP267k+GzKcvfOk8JSjjgV5r13MyCNvankxFxejqt6vP +XV+Q4elRFXZTl2LErZi5YzOKDA4zXS8/1/xATz0bLvNEk0HKSOKT2YMiVLqH +em4ljgzxu77+zh/IR9evFWW1pJKBY8o3yuZZPrqZzCPHl0aGh5jppR3q+Si0 +P/bBhc9ksLi9MHg9Kg/x1Qm+Rxlk4Gs/RuM5+R2JrcVyWmWTIejLzqLyuW+o +Jm2PiVcOGWhBQ4+cE74hqaJzzuG5ZGhRDdpauZiL9uXs0Er7Tgahg28Oj5rm +oJgkLavEQjIsDWiUHs3MRssXIPZFERk6IvtPvdySjcKarhU9+kGGKIq0hU5h +FkqLnf54qoQM7PnffRNFM9FGYMOxuJ9kmLA3Y1+6m4HK6gJSbcvJUM2/8tK4 +KR3pf2tclEFk8L+v+2nN/zPyeBZ+MQEjA0Oz5feViVTka/6Hx6SKDI35anL0 +E6nI36a9eAbnD4fig98kpaDu37b+gdVkOC3lcLzFIhn520+5ptTg9k/4Heda +8BFJBKM3B2rJQOQ/vMTB8xF5zPQP5uK8l5duHR6ThG6c8OvKrMP3Z60SqD2X +iP5TqXkiWU+GOyvPmwnb3iPTm+3mL3HGRqR1vR69Q+seH2/Y/8Lvr5PMyFWN +Q4mGLMm1OO/8Vfx9lvQWcTy+xyzTQIYruedkbG3eoN1YklILzoRUkYF44WiU +MDKwIfEb99e3/950tb1Ctt6qNCecTcJzTbgjXqKJ3H6ObJwXfB+xGelFob20 +7WfJOKv9i/Dfuf4cRU3OZ8k3kiGwUYoW6B6OGI8qj9jg3Jz34zp95Cl61fdx +4iXOYvEmna4XQ1CP24+ycpxvBo6fHqsNQs/G5YoncC68+fCHxdEAlL6Pp3/b +HzKwJkteTDB/jKztX8jK4fzBw0g9VOsBYmb78UYXZ014IOK55w7iL0s6YIZz +uqj+avEOF6TkYTZzA+f+H0kVL7ps0Q7TqSYPnHUsBnbHBJigu/XWfV44D994 ++lw2WxUMQkp3PMCZa+h718DbyxDsxexwF+eLbUyywsyOcKBWceIWzlEil3L2 +JHjA1VGt51dxXjKUbzxSdA/OPdhtaYSz1eP1KcO2h2Bw79c5NZwrs1u32pL8 +oIhV/pYwznyUC9zHggNhzzu5r3Rc3zr2n0k13E9AYyCbvx3nh3v2HTJNCoWB +n4mp6Tgf1HxZ1nfgGcg4d1/2xnn4wqrBjZIIsDNVVdPD+fWtG71zZ17Akd3P +j+zAWbpyUuXnTBS8rCmwbsLvp6vvfOWZB6/hVUye2CmclSZDtu1E0aA8Ip6/ +jN9/2HypadvWGHA6GeiRhrPWjr1DVq9jofaipvki7j8xQpZ7pfriAJPbGvAG +5zmZKNdJyXiQvPqjSQnn5OMrq7ez38M2wvsOC9wfV88qnlRfTIS3sfsi/uH+ +q7BfWW9D/APUzBg5uOIcrO4YUWX/EQ6MUPzdcH9XN20VMaGlgIJLxKkjeLxs +5C22Pk9JhYWLjIJIPJ6qBUXC/lz8BMf2o5sjlWQwHbJbNipKA94Tf9/cqyCD +k9tCu6FPBrg49JEs8Pg91CYUHn4wE7jP/7gWhMf3gtrxE78HM8EMu8OZXobH +8/qTXAPdLHgrfH33MP4exEYIPj/LmgPKPnvoHPj7cZVy7FRYUQ4YPd+pyYa/ +LzwKuY/tVXPBIIjr+3o+GXqed6im/suFyLdvdHrx98j+kniKtP53+BvIV2aA +v2ePx7P9pHYWgJHADxDA30cbAV3LyhsFcP/WcceCZDKc0m8/YldeAN0irnkm +H/H3M2uZ9NG9EJ6KlOW7J+L2vqNjtaetCFQqIo7ciiVDNnObhuTbEjD8gjGd +CSfDS1V7PmyuBNILHraGhpHhrsPS3DX9UgieMc6pDMXjoUHkcxKjFOSPTkXu +DSZD7cvr/LutfsKo4M3cNB8yuEet0CO5MODdXr0Z4kKGC5Vn+aePYrArwdIm +wpkMqguxh09exyDrRtyjCCc8X5mrOy8XYPBTvfevjz0e37vv/r1mWQGxicaC +Ela4vNmkn0pplSBb+GKHrQEZHgxr9T1rroTNs/vMuPXJYMkTsTROr4RD+Nwy +PTy/eikoxhlWQYzzJJFJlwwZxx0/MFGrQGuo0NtIHZ/TOBzYdqwGr/MGS/ul +yJC4oZh04EYNcNtfVzgiSYYAJb/SkMga2HK0ReSZOP6+RosvaI7UgGC5kfce +ITxfWF65kRJSCw+22c3v3EmGsZn2M3db6+DZv0Ms/Xi9wLGtboeAYwMUvAvh +P15Fgv++010nXzfA+4775u8QCRIsFZp/YA1wsnB3KwWvXw5mP39pKfIbeGMm +roblk8D0v4sCH//8BmVBn2dOn0jw9v3I7gOqf6D/xocT/U/w+kbYV/gjoQVi +ZorVA3RJUEgSaNgm2AKM4kPkDS0SWFbmPPQ82AIdvz1c72mQIPXWyN+TV1rg +1YUjRUaKJFArP5U4kdcCnwyydqSKkcDi+nbpA46tQB0sMKMtEiHxa+yBoj9t +8KUNFKjJRJA52ytVNNYGhlW7f8W9J0LmuLBwEaMNJLgPL2nGEqFANH5rkWw7 +KFVbzjg8J0Jj2PvBwsftQPvGW2t/nwgrN5KjCg92wNa6sLcLZ4lgJpG1UPC8 +E6Y7N5VOT89CfzFxpiClE6ba607RR2fB7tLBkYLiTjix9uFKcv8suEZk/yn4 +1wn6H1a9B5tnIXglN63geBdM/PnGslQwC9+7CiwKSF0wHEWXS/SfBc4XqCzf +uAeecnRP5O6ahR3qJxuO2vWApO6zzB72WeAYqu0u9+oB1s6EeTrTLLApNtHq +k3rg9D3nrdILM0Bo7pcboPbAzQ8zeWI9M0DlXIneGtML9E5yTHLiDJ7/VV3N +BvvgI3tue5/sDLQd+fHwL60PeMrMd2+XmIGWwWNPbdj+Qvz1O04qAjPw59DJ +FGelv7DfN2DkFusM1Dad7/UN/Asjp2nzjyam4Qenu97nvf1wxd+2jO/TNMRH +ZojT3QbgnpN/wjaxaTDyTPyj8WQATmRamN3mmYaNS68fe8cPgAPMrTaxT4ON ++OOBlboBMNcTm7+1OAV7s0zfr0sOQmhRNHl/0xTk/loW29I+CBOXXm+WP56C +68zSnKGiw7B+2ecVe+ckeB+/vfOV3wi4n1vaP2o3AZFqO6kLYSOwL50Y42Q+ +AckHMzrMo0eAaf2/pXHDCWgUH4kXzxiBtBVTf6Q6AZIbpgoZbSNAV849sbp1 +AurLlc5gsqNAvOkVF5b2DwR0KP7k36PwraJdZmxoHPJOuC8YCOF9bLurZbry +GGhIDD30lhqH5SVDqzaZMShnmDClHxgHxwKrOqrAGDTkHuLcqjsOB+Zet3Kt +jsKwBHkfujkOwTcc3ZsrR2HHqoulSuk4RH77XmlkOgoOec6Volf/AWOzSk/z ++ggIyzhEEfG+97DT3ss2rYMw/ij4IbPjNJyeN7w5Jd4J/o+arM/fxvvOre9E +ZJc7QPSRkO6HR9NA5MhTvtDSARceZrFpR01D9XuNW76BHYAedER7F0/D3buH ++WUn2uHdPZkcyvYZcOuY6BnObANT9+qxwdwZSFSSvSZ0oAWIbpx1B0vxvnOd +2DWxpQVC3SwyfWpm4OxHjuPXipqh3JXoIdKH+12J0Nh1gWbY78K3cWnLLMiO +d+twdvwB1pv2Qn8uzcIxfa6fHSa/4acdi3HpyizEnn3LdNSwFpQJoUxTW4mQ +ZxjdzrlYA2nvtxXycRMhWvzWth1JNRDVw7nbbR8R/ILuBIbOV4O9iTBV8iIR +XqmLZ7cnVsEOzUNvQr7ifSShve8dUwUEdOeezftBhEOklMJrORgs3VXZGKoi +wrbJlj1B1hgM52g4Hu0jQn1G8uO5ewjyZU8eJbKSoF5lyhCWysCK22LgvA0J +ToS2yPkp/IDW7L6XvrfwPis/RKwjpghOG1mf/uJFAr48RnYySxEohdrlsDzH ++7ymXXeI4wXAsu4SUFRMAvtt9Ad8JXng/W5ObbyaBE5frr/lU80DsrrnDFcL +Pv/NIbvdud+hx/P+f84TJMg6qCSWlf0NsqYCZMV58bqVXHH0dlQO7Alh6Tsr +QYYp/3wF7cxsiJEOjfSSx+u8TyvE3F9fwf9qxHIz4HkI5U49EsmCxVXOrDU8 +zzyNDuW+ZPQFnONe2sibkeGHR9CxruBMuNgR8ysQz2uUsz7eCxwZ8Ou2sG/O +fTJoqMscPHA5HbR3JSj3B+J14OGKcN2cz5CXJTHJHon3WU/nQ8N3fgY5g4/x +anif88Fot/WNu2nwflLa1A7P4+z8WPuh8U94/5fG8gLvU0y75p8ZWX+CUCn5 +4lK8jvAQKTwjN5wKa+iL6xRe5ztVnDc47JoKX8eav5q3kCFXrGnUbXsqXGVb +INX24Xny8dg1s7wU4NovdOjIPzLUq0dtPX8jBSpMtNw+zeHy1HHc+bMnBTw9 +bbL5VnB7GTqvwnQyyMQEk4NY5kDuq/lW6bJk6CxOPzTPOQcfvtz2XH6XDCED +jW52wnNgsyi5Sy8kGdSZqNmt0nPwNDB7e7xvMt7/88/pHJoDLrsQv6jgZIjT +P6qYqzEHP3ZnLVfHJoOBi7X77pNz4B8VzD1SmgyrLwJyIo3nQCfgmPRbcjJk +5X2aWzfHx/VU5lMOp8DV7l+KrnZzQOET9m9+kgK7Vknu/S5z0BLg8pc0mwKY +BE+u4X18/lqg0LB9KnieOEIpCcDPz/7vwhtqKkg7XFFSiJgDJY1PDdtff4KO +MF+PuJg5GKa+kL1gkAZPvibnsn+cgwdLX6ufCn2GI621lPtf8PVHf+mNbXyG +yYUZpckCXP8SW/nMjXSIFdp12wybgx571jQt4Uw4q6XyraZhDnIlj2TzmH6B +lWvmVNVOnF9cVkSpWZAV9Ohw6hB+XqDDS5pQNlh/TrrNO4OfZ0f0e5ydA5y/ +q74FLuD6pJttyczLxf12kkrdwNfL1oXUJ38DblGho1PbKEDpTDte+TMPZg4o +9O7eRQHs4ZUrB4j5UKmt5W3ORwHTJNF2F+VCiDc1EX4hTAGnvH/c/K+K4K6d +TXGtBAX0lUUO9u0oBqO7npc3pClQ31rAHpdaArIhwQw1eQqwu7lxWVqWQVdG ++tFPKhRgafdTChXEILu0pLdfgwKq21zlXstVQOifRm8+bXy/6ValcyaVYDM0 +KGx0kgI/QPSt7bMq0KBSioP0KSA0ngxJg9XAtWXLlVJjCtztj3bmMa6FaT7+ +FdoFCsRq5xQy99TBO42jmnbWFFBKmxKYNP4NngaGfXF2FPDpgqE17T9gaGX9 +sNWRAjIflN5QLZpBxs1dZJsrLs9j5Zn15hZY8wso0fGkAM8pHpkHO9qg8+Xr +Kw/uUyDN9Il1rn07ZKd8WsnxoUBhz5zfyN8OCCkoejcZQAG5ZR7B1ntdcK3u +l+buUHycbthKPtIDGr1/+8wiKJBde8rksUwfcM2SHka+pMDDLWmFdaf6YXpt +U6Q2Brf31wXVm0mDUMnJU7oeT4ELTm/oXYnD8E5SxlLtIwXqTJtTI/hH4Y7y +kVWXNArkbj1G4i4dA6NT+vGpXyhwwzRy6HPsP5Axu3KsP5cCff7fva+XTELB +5a4sRgEF7P8VKu6VnoHT1hckBEspcEzhluAIlQjdNk0vVDEKJERm/Dgshd+z +vQHThRoK2HQMpyRJ04DhWOvp3oDrw70iTf6wAM9unRiPaKaAc1FtZ0PvMoi6 +l1/K7KDA1quehQaWa5DlqVlX10sBrpwpClpg0jnuVajxb5ACHoEnfCRPsek0 +eStnMo9TQMuOV9gng0Pn2uNsUclpXN/sUT6PQxx4dld4fpxMAcn72brz0aw6 +AcFpG1fmKeBvGBF32pZJh+eplMcDOgW469m5y54tQ3J44sibdQrkBVb3CzdP +g8oLkf/ymKlQryQqWLP4G6pfxVS3sFHBnOOIovh8K7oYw3OEvIMKJo7DP2v2 +TaB/cZGft/NQQS4zXeKRMwV5vecQlhekgoKQYpvj1wXE9jHk2WkxKmDH9Vjv +baOj2FTmtet7qCDBdYHH6vMKkk/3dQ3YS4XqnuavVzLXUMmXlcHE/VTwIfKs +8CltIMMcL9MyJSr0m6tu33F+E/V/p1X0qlFhaZvi8U9cBMy10E1lWZMKrkGm +uhEWBGyjeCaVT4cKudoG51tDCNiLnw4CynpU+NiR7VbzgYBJVoyGnjOgQp+K +1ttvmQTsW/VVhss5KiTkV1huSydgJ+r7nJ9dpEKIiK98dDwBa/9t1v/5MhWU +bS1LIkMJmH1zm3HNVSpozt3mqHUlYIttJmj0OhXSxS6zfj1HwEK6GpQIN/Hx +aNKi6yECJth3OlncjQptjbXedA4Clj5QyXvsDhVs/CRfCzduoobxkqV7j6lw +X3311BHVTWQ5dcTpdSAVZk6JbB+b3EDE2e+9uaFU0H4ixquQsIE45zPLZl9S +QVTITcaUfQOdZ4oPtE2jwmFFF9O4pTU0yiK44PuFCsyPvX99LFpDnuyvbyTk +UsG+SeDp2sM1FL0rXL+7hApHbk2f+8G+hmR52UoWEBUu7bDp5W9fRYUCQft5 +aqiwj4j5YEmrqEf8EadxMxUMeFViumAV3dyz7OfcQYXz4sKfFXhX0YrMHWpo +LxUupxX1vp9aQWIHbnVUjuH2EPRPSo9bQV8VJ/WGp6iQ1f3pu9S9FaStcr1o +nYT7T9jVkwEXVpCNpuU7DToVpj6aMuXyrKDBiDsL1etUYDt7i2mVxkBWQ+Em +57fQ4Kfj0LGjnQzUdzg1fYCdBkzd0yUWxQxkHlzG7MxJg4EPfSz6SQzU0dVh +tcRLA849dbJLIQx0QZ5UGChMAwcO1sILHgxk0iR+K16GBldf+lv0nGGgRskj +NfsUaNASt3l7TI2BDO6Y7M5XpMEOM192W1kGqq9x8NZRo4GV4cbTkwIMpCfk +196oSYPY2QriY3YGqnR+e/CyDg0umg0XbFmjI52fOaH/9GjQdv7WbD2Fjsp3 +1Y/cNqSBs9kZ/soJOtKyGz62YUqDve7N6uMDdFSST3/zzIwGIzmXm2W66EiD +jZsiYEWDgpGs397NdFR4Wd4gxZYGgSl3w3t/0ZFKlm6qoiOuz53ybs0avEra +uLxR6kIDrT+hQ9EVdHTovKeFvicNNjKvqwyV01FWyrPvHfdp8FdBq4L7Jx0p +LCXvsH1MA/shlRaZMjpK1y91IAXS4JV+xhoXznvj2zHvpzRQ33NVtRnnVNKs +CGskDc4HVH23wPfbo8Ny79VrGvAb3VpPw+go8ZVYs0QcDUznE4fzquhI7J+q +/JdEGtw6IeriXUdH79SNg9RTadCcRJmj/qYjoWc3BqoyaBC9EcIQbKWjmP7H +6qY5NNj5utp0AtefTzHmZX8+DVjAbNEct8+rgOxZpxIa7IoREnMap6NdHbV6 +i4gGSkYfDvAQ6Shi71BSQA0NyD3D5ecX6IjDe5mx8zcNJPgpsVLrdMQqIZe9 +t4sGPJ87BJy4GCjYQ4c97y8NaA5DIp0iDMRcZWEHIzTYY2YnXY3f97pjmIAF +Ebcv0/YPIscZaOHbjG8Y8zzYEuVlzt9mIE+WLb387PMQ3XZP8p4fA1HMRFWS +d85DPsttvi2RDDS7ajhZIjQPeO6jXshioFG9r+eIh+bBol+CEUBioOZed8lz +lvPgMZ911tJ/BTnPWWA+NvNgXreVpfHVCmLdesIm88Y89J+ON/X9hMeLEt+H +rR7zgPgHxFJ+r6DskB+7y4Ln4Y556nCzyCqKUGHaLZ89D5w6D83GqlaRwfNX +4luYFiDM/7B8zrF1NJH86KcS6wK4oXflXy6uo8Af9tZXty9AgsSXgDbXdVQy +duR9Mf8CzBwT7kv4sI7kNf+KeSgsgMivHB9h/H1hn5QWG/hvAfZc8flqM7iB +anQKRIrSFmCyc0aB7T8CZvJJM+W/rAUQ7e+/zXudgHVtw/ZTvi2A1vBdFpU7 +BGyqrUFL/ucCBN9jj/3ymoBx3Bi+Gt++ALazXF5+nQTMNGx7ih9hEWj6e+wT +rJiwvlbb/fpXFmFdKTxY4gEzRrbj1OrduQTjH3b9thlhwRSL199Y8i7B5Vz/ +q+aLLJjHLtLcgNASFKVpXrHethWjlf5OGZVegu0qxY/fHt6KLfGFbSceXYLG +kQHp6sCt2Ebtlr8bN5ZA70Dx4No+Vmznfoa3TPkSiH8F29HHbNiB+bEid7dl +cGVpeBJizoFRDWY+mxfR4e/kvdSyfVzYtDULYoiuwNnL6xMS/3gxJ41zBiSn +Vdgovuf36J8gtu4voHQpZw203kgymZmJYTXBVK373BsgYzRf4zYuifGZrv+c +sdyES4LJrGuYNMZROKiXbbsJTud9AvybpDGCGPbntuMm8PFFfN7eL40RJwMH +6J6bYCxouqG2LI1V+bGvsz7bhNS1JP6/B2UwzxxeLekfm1D13/sJpwQZzImN +f+AgB0GnRPoXS4qvLHa9ZOvHXTsJOsuJcsZMz2Wxq65L9tRdBB2lM1VhDvGy +2MX2bmI+P0Hn6uGZKb0fsphO0ru1Y3sIOoLTPX4WNFlMSF1SzECDoPPC55VQ +s+NejHeGa3j/MYKO/lWx0vdeezHO90ypO7UJOgQbwft3nuzFWLaM7W89SdB5 +Y1t+SjVlL0Zp+nTM4hxBZ4ud94PtQ3ux2YCYzaMXCDqfuZTleMl7sQnV0CrR +SwQdEzZpFqn1vVj/OyfDoSsEHRZeEYNLovuwbuPLuyqsCToJ7t0/vBX2YW0E +g/ZkG4KOeMox609H92GNeZpvg6/j8txLOdqjvw/7v+/7df7/+/7/AUwuejE= + + "]]}, + Annotation[#, "Charting`Private`Tag$14325651#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, + Charting`ScaledFrameTicks[{Identity, Identity}]}}, + GridLines->{{{1.05, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.05, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Identity[#]& )[ + Part[#, 1]], + (Identity[#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-2.05, 2.05}, {-11.672014725875941`, 3.3327562293091244`}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, { + 3.714237148119379*^9, 3.714237158503746*^9}, {3.714237735612874*^9, + 3.71423774221026*^9}, 3.714239090338779*^9, 3.714239706334008*^9, + 3.714239897849392*^9, 3.71424482138444*^9, 3.714311292850456*^9, + 3.714311429536284*^9, + 3.714809196365543*^9},ExpressionUUID->"fc4ed91d-cbdc-4718-9cc8-\ +1757c326a4d2"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func4", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", + "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], "\[CapitalDelta]"]}], + "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}], ",", "0.0001"}], "}"}]}], + "]"}]}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.714237173649082*^9, 3.714237175624524*^9}, {3.7142372663876457`*^9, + 3.7142372666578074`*^9}, {3.7142377466192083`*^9, 3.714237750718816*^9}, { + 3.714239125280096*^9, + 3.7142391253922577`*^9}},ExpressionUUID->"9bc0b24b-d892-4dd0-ada6-\ +79e5b7a1ea96"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "NY"}], "]"}]}], "]"}], "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol4"}]}], "}"}], + "&"}], "/@", "func4"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.7142371795421753`*^9, 3.714237179715836*^9}, {3.714237270963962*^9, + 3.714237271437516*^9}, {3.7142391347674723`*^9, 3.714239137562055*^9}, { + 3.7148292581053762`*^9, + 3.714829258296369*^9}},ExpressionUUID->"ea63eb69-ef26-4a44-bf85-\ +07d42352682b"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"0.`\\\", \\\"3\\\"]]\\) encountered.\"", 2, 1375, 619, + 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.71431130525714*^9, + 3.714311433278891*^9},ExpressionUUID->"ddb2d83a-896c-4717-a699-\ +a438f795e8c4"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \\\"0.`\\\"]\\) \ +encountered.\"", 2, 1375, 620, 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.71431130525714*^9, + 3.7143114334266367`*^9},ExpressionUUID->"318b87b8-513b-49c4-b379-\ +c4c23ae6a44d"], + +Cell[BoxData[ + TemplateBox[{ + "Infinity", "indet", + "\"Indeterminate expression \ +\\!\\(\\*SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"ComplexInfinity\\\"]\\) \ +encountered.\"", 2, 1375, 621, 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.71431130525714*^9, + 3.714311433624057*^9},ExpressionUUID->"25e19bf0-5ae4-4c26-887e-\ +2712609a2e14"], + +Cell[BoxData[ + TemplateBox[{ + "Power", "infy", + "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \\\"0.`\\\"]\\) \ +encountered.\"", 2, 1375, 622, 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.71431130525714*^9, + 3.7143114336477947`*^9},ExpressionUUID->"2339f608-6b9d-464c-afca-\ +fca4376dc19e"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Power\\\", \\\"::\\\", \ +\\\"infy\\\"}], \\\"MessageName\\\"]\\) will be suppressed during this \ +calculation.\"", 2, 1375, 623, 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.71431130525714*^9, + 3.714311433866568*^9},ExpressionUUID->"d5f31e07-342e-47ba-af6f-\ +5ac44d0a58ee"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.007333333333333334], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwVkHc81f8Xx+3N3dvl3usSEiVKQ58TIV8rCYloaGpYiSgtSkkqWpKiQYsG +SeoekpKR0SIaZikhm/Dz++v9eD3Oeb3ez9cRrtu5fIOMlJRUn7SU1P/fAcoF +0y2RGsgyfj8iClPHu2sutRfXK+HujWsCCpPUsVFGmOUWI49dgi2tvIfqyK2+ +4jJNJIt53y3jrWvU8Vd7J5haS2P1rcVbzLvV0dXSTrtk56Rkj9Vm/z41DVwf +jHEpFf8kDzu+OUQbauDvlfOp//aOSpqfwvsGOw1ccXd3Z+/OYcm2FZvSFDdo +4MsXRVubkgYl266bmyke1MCju1zaFVr6JdcuClU+X9ZAxeayvYvd+iQ3bpyP +OfxUA2MyOLO433olcvk2o3KfNNB07rJzK2J6JGs65txZ3a+BUKI3ZhD9R7Lm +RGf1STIJrwzUnHNk/5bsPGSVeMmIhMHpPO2Mmp8SIz9/+ZilJJz/6p7ZwZsd +kuTdMcR//iRMlUh1fDjbJtEpu2nVFU3CT2kf1yqmtkicAm2UdqaQMMBl3Obz +4+8SqkJvdHUeCYVvFinUvfkqOV/UcZJaS8L30pfD6EsbJX14gTGni4QOShUu +51o/SX7U0/r4cmR8VeoXW5v6XpL6NGDTaQoZVz1h+sQF1Uqc5uGbYS0yDmpc +fhj9tEpiZRYe5WpExuKqQyXril5LdNKvfbo0j4z3VlV/OtVbLNnsYmTx2ZaM ++81MLLeeLpBEP+jvUVtBxisxH9p7mNkSFZGSh+naqf9KTA9k6Z2ReMc8eeyw +g4zUwlLthsazRErLy/VekWR8/Wt1n9RgNsG+G3Ld++hUns2bvWbyBcQv+5yX +y5PJuJpjL3/4dxERWTxdlUgnY9hHmRt5haVE3PvgAkE2GS/mX9M/EVpOmO1S +ZA4/JeNkTENthko1Mfl7t+/L12SkXAmQUlxWS8hkh9YefU/GuAo/vZFj74je +n633rJrJ+NfuYfDI0w+EztiIcd8fMr5YF6q7r+UT4VO5OP7iGBn3eXasG5D+ +TFy3y5+wUKJgYYHan5esJoL64mNhFZ2CfsLMKhfdr4RaVuaYt5CCE79zg8OS +vxFbrKr/fJtBQdkxm/zwpO/E4peXX6+eT8Ffv5Yv/nCymTiUo1lQa0vBntTa +OY+OtBBjoaw+wo2Coa1xp8yjWok3cTPSr/tRUD7yiE3k9jbifmt9v+w2CtK/ +7tlyzbudiG3bx/IOp2DTbN9VVbYdhEASaH77MAVfhjd8ppv8IPj+k+H9iRTc +/wXNT9N/EgEj0apzUynIP/PD2W/oJzH8zZ0RkkXBZZF5L8987CRme449y8yl +4MKAeAXb3F+E4K6y0aciCo6Xua85nvibcNBfHCNdRcHjr9aywrd0EfPjEv+I +GyhYoJobpg1/iJJFmvFW7RRUJI18PUPvJnzsbQ6s+kvBOy6GDe3t3cSpuuye +bRNTPHdPnUzy7iGeHLH/F6FCRZkM0orc4h5CctHl5QEmFbufXfdp0u8loq+u +2HZYRMW5s4lBWkIvYahlSzloTEWP4dP8NX97iSNfgur2zKfiosuSQ6/d/xKb ++cdrdthScVnymdNu+X+JmOBsA9/lVJxoOhqoyO0jIhIDRpb6UlHJf49c554+ +Qua9ZLXJVioe/cUekfrcR7TeEodQwqgYlSRG1/n9xI6iBPfuA1TcUbcz+fv5 +fqKEHyIoO0HFVUo5B3IH+4l4mfI/ly9QccMj7dW1bgPEiVzW58DrVGx6PFCz +MGeAUNfeOLnoPhVdZHN9R1QHiT//Ld+l/IyKd+M8V6ptGiS+vVLxqH5NxT4T +z98RRYNESIdbwZl3VDRZfE5kyxsiRlqOFbh9o+Kr1JlfQ0OHiN9tmTvIv6lo +/EzUqlw5RKj12fwpG6Li5S2/apV0h4mrRSnL9svScFWvgvGuqGHiefDRO7NJ +NFwYtWrV8rphQtfiFLuVS8N7XXFXMgxGiKSvrbdO6dFQ+sF8423RI8QLB9+I +haY0XPRhCSv73Qix+FPshVZLGi71r/PYaTBKKGadFxyzp+GcZbuqs/eOEjHt ++3VmuE9pibZrSM0ocePn97zKNTRMKxUlForHCKcVjO6AbTSccKbMTNg9Rlzm +Gn9TDKfhGDVV0lk2RsRGjqZePUTDGudNBe94/wjdTvmF807S0LK7NM55+z/C +6sfFyqqLNDSpOhyz6vk/Yri2ZMO6GzSsv5zQP6oxTiRedWX136dhJe2quqnf +OPHtbF3/oWc0vFX8c0g6e5x41J5OppbRULDgavm2iXFCxuVr1OV3NBSWp54O +dZognl8LcjD4RsPva74u5V2aICY91BMe/KLh4Ft607rOCeJ02yyP+UM0NJDh +zXKymCR+OBnlogwdkx3CuI0xk0TQTnahjQYdn1mWrqPUTRLX1zdHlnHoeEPE +9R8iSQHprZ28oy4d1e//mZg/Rwps9Os3V86k47SzPI8VPlLQOTia57SQjp0W ++RZLDkpBl3LHZIUdHZvftQeqZkrBj+t33Rzc6Bj7SKrkVqUUjN6eU/zal465 +J/CvqE8Kop9YedtspWMCKeBJKFsa5GGbcdEuOja8HHh7xVIaNp7Vd1h4gI7n +PI06b66bmsuVYV48HUds3z0+dkQaKksiL888T8eaOW9b7e9IQ4KiU19WBh3r +axZw2qulYahtWpUom45d3skjfgNT2uOjZUoBHZ8o1+rlc2RAXVPRlVZKx5fi +/Yu6LWUgKnMJ83gNHdcrNDfIr5OB5bJSl2Sapu6lonzmX4wM1F6P74n4QceD +O7pH67JkgO8mEvX2TfFanMqIr5SBE7+bFm2epGOAmRxvWq8MiBcXr/iqwsAL +Ewm/M+iycP9TfpAHk4GbrCRXZC1kIbvgdEalkIF8zehntt6yEDVLeXjJDAYG +FhqUbt8nC8pxz6MKLRhYY5O2IOKqLNx6s4gwW8LA6CHPS1tKZMEuVMrpjgsD +n2eF+RMdssCfseGh2JuB2hkN6mPKcjC2qyA6dSMDC6tmklON5GCr53wJM5iB +Nz3lvuu6yMEnVbXoxL0MZOVV9SUHyQHn5pIKlTgGZhkpFnSdkYPego6HMUkM +DMdZGTPy5OD2cIeV9BUGpud2aXp8koOw6mmxe28zsOOI7JlNo3IQrL7n2Gge +Ax+HBu9cpykP53am+4QXM1AtYS/XbpE8KFp7KA9VMnDu1vxRxhp5eDWwMDWs +noGnVtN2vT0gD7+zesRDrQx0Wt3xOyRDHvJLJ+6E9zBwaaR0iexLeSAd+bF4 +bIyB/8nfWxXdLg9SsTo9+xSZaL/sBalDUQGK7bklsjQmahregQUGCjCrwuhN +nBYToyaC7KP+UwCBzH0NiiET/94oPXwrQAFi1vSlXjBn4oY+dcfSeAU4smbu +YZ3FTNTu2jj09q4CGEnnV95zZOJAxaOmV1UKcHRpZuyClUxc8/DminvdU/7i +2U/L1jMxQfNlziGyIoxM7NvttZOJ9ZqBNktnKcICjcxXnXuYOHdlr/8/V0Ww +/lf6eG8sEyNf71tzJVgRVBz+uFFPM7Hfxvqo2RlFWBgwPTMzlYkq3zZMf/JQ +EZaYHUHIYuKBcfJ543eK8G+VQlbDIyY2uETwkvsVQeNH1vYwZOKcpFbpLroS +bLqzk0uvYGKabs7ZOeZK8DJ3+dOHH5k4e7OnONhdCT4WOfi4t0zdQ2ZPf9ou +JSjOcVUe+cPEpX+/u2CyEpgNeVVdHmViUmTcvrpcJYgkeT22VWBhZ+eVV/Xv +lUCl06q6h8LCnfOSguoGlODMalXdVD4LrxwjFyNDGVLP3ihyMGBh2lHliavm +ynAsVvnBPzMWaqU+37LbXRkGXQ1lcoCFXA1cuniXMhhLpJ5vcGTh87G+pskk +ZdC9FtvLX8nC3oUpAQ8fKcN3t/zMT+tZeF7kMdvnnTIUqSZ3J+9kobrIIGy0 +Txnk1mrXukey8Kz3gdAEmgpY313twz7Cwk/UeTvYs1XgfeSqi02nWZireCn9 +/HIVGBwQn79+mYXH8wOWkYJVQHtZzdrAWyykJLTkRp1SgR1zImQX5bEw8G8h ++XuOChyZtzBOo5iF466zLy+sVoFtC2DyeyUL5eSVUk52q0Bc4/2g/HoWRhjG +WjdoqMKLHyW/T7WxcMb22DpNY1UgvXwUtaOXhQmPgmM9nVShqLFkhvM4C7PL +7M8d26YKr0mL1WYpszG2LR3yjqtCsWCfmMVg43aT+4UNt1QhQafhoJSQjXEz +7WyGy1Rh7+/C2V1GbPQybaCRfqrChejz1k0WbFRIilmrraQGn/f/fF69hI37 +VDQ2GUxTA99rcx+8WsbG3Z9bfWbYqkGpNtOw2IeNLxSmR07foAbPeeLZuJmN +6msfjegcVgMPPfWGolA23s5SIbMy1MD1Rtz0V/vZCCcCB+SK1cDZ2c+sOp6N +2zJav3V9U4PZp9dKN51nY/NqsXLtpBowNIPTuq6xcXPvvWv3tdQhxeoAT+Y+ +G2VNXv+Mt1QH7f0JB7nPpni8IzX8fdThb2fm9zllbHQcSV06N1Idjt7rtvF8 +z8aDx2orFS6qw7mY04WR39k44XC8rjZfHdaa1y6/1sXG1p9qJ1M+qsM8FWlm +zQgbq/SDzNcOqoPY/RBNRoGDgQlZYzoMDTjf+XblXCoHt4wfYLbO1oCK9MC+ +QC0OHnHOKLi6XAMGGmR67xly8GdbsubqIA0IHp7r1zuHg80LSwKZiRpQ/vu9 +g4U1B4237/1VeU8DTj59XHLIhYNzHw3hoUoNyJCu+ljnzcGqnuW6Fr81YOY+ +7TP6mzloLUpx/KVCAlFqmdzBUA4m17/ZmmpAgn8y0gu+7eegeW7lQ+elJDjF +oy6xPsHBwxUHvSc3ksAka63x7QscvCiQJGfHkGC9x3Yl9g0OlissO+t3jQS3 +7Su+xT3g4Kyk8UTSCxK8LzAplZJw8L3MiSeS7yRIOrb+VVQ5B7vivwstpMhg +2+jcN/5xim/pw/uJJDJcv9+/8nArB+8uEN74qUUG9bhQRXIvB9cupXOsjcmQ +M66icXWcgz5fI8SplmTw3kqNmqvCxRITm+YhRzJgguzaOiYX/64M3ObmQ4aB +OWEVoTpc7EwZb8wOIENTm7CKN5OLugnDTuqRZFA6+GXX64VcfPjf7vqAY2Sw +k79et8eei4k3Ui6UXyDDIpPEIVMPLnr4J2UaZZEhYX5Tb886Ll7YfFlwMp8M +psm/ax/t5CK5V16z7xUZxJesbu+L4uLVsmm5Kz+SQd7r6HHnOC5qHg1WwHYy +fF8Sf1h8losOJZsMDQbJcFjN+qZUBhe73FIXJMlTQMrrtVxLNhcnjz5fIc2g +QFmK373yQi5Sgk4kBoopMNQUmltQxsX5rFbl5tkUKD6TOj3nAxdNX+d+drem +gHXIBdGdFi6mryQLK5ZTINjF7c69nim+HfyBJesoYDD0veHxOBe3leuEYBAF +qOw4fKXCwytpR/MWHaBAo27Bzi8sHj7+UN0gSaRAtw1jbEzMQ35g+pj1FQrs +J7buEpjykPPhpVl5NgVMAp/0OhA87Jw/Ld1dQoGQl2aH9jnysG7oo19LFQWe +F4BlvhcPE3tJx0K/UKDGZ9fskY08vDNpbKn8hwLSy9MiFofycI/X8+Sr4xRo +70CdUwd4mCofnGOpToVmXZrtjwQeRrka3mrSpMKGdoUB20s8VLIfSDtgRIVn +/TY2d7OmtAU522AhFYhZjxx4j3n4acbP/vcOVFj3NJB/qoSHb44ITsZ6U8FH +9PGtRi0PX+0/lrIggAr7UvaHJ33l4XjpTIuBPVTIJmxmiLp4KMdecejhMSr4 +uVjK5Y/yULVle0rYRSrE7S2meShponrvrLRFt6iQtDgo+B9DE88zEu+qFlCh +Yabh3Ns6mki05rY1lU3l+9Ei1s3SxLyd5E259VSQKbvgIiI0sVTD2fX0Tyqo +FAXXdjpqIhiuKQkdoYLitlRO4SpN9KTu/eajTIMQ8Lc8u3nK3ygs/Y9Dg6JE +X4+IME184EA/u8iABjZawXs3HNZE72f+QRbzaDA39135qtOauFccGGFhT4Mr +NereXlc0cYla89tFXjSIdRlesvaeJjZm5J112EKDpTolGcGFmpj6fmGPbwQN +zvKHT514M5W/mT0ZHkcD9ychhg8+aaLFjCXtFy7QIKs/8Oi3dk0MM6OXFWXR +IMg89hV7QBORZlHe84QGvywyZb1l+Vht9ow87Q0NSklGXjcpfFSbRXnu30AD +Gb2y1nFtProvkBvO6qTBN8+UF77GfCxOLm8ZHJ3qR9OlvVnIRymm3E0HVTr8 +F+faSzjwsfXxo02ZPDo8bA+LQi8+che5Oqob0WHetZV1Dpv5aN1cGLlnIR1m +fjFgNIfxcYDhxO9xpEPi85NrD8Xw8Yxrxcodq+kgO5jxySSJj1qDUR4D2+nw +ZcnQxY50Pq4iNImYfXQ4zEgqu3Wfj/52bQu0TtLhuZ50bARO8WglhWEaHdbY +L/nr9paPTn83c7blTOWZtM2c/4WPOS7TXYRFdNB07PE36uJjYuAM6281dLhc +OXLf8B8fja65CLOa6XApXbDQXFULTSplmVF9dPh3kaLvyNXC1X3LnL3kGLAk +RSVlp4EWOnZ/GAIGA/62NxWkWWhhtlEtzNZjwNEDA3cb7bRwKFZ75cy5DFh/ +0yNFz1ML71nCdoulDND2u35r70YtLJX3zXHwYgBTrC/XvEsLxeYuy7duZcD8 +2+XVbjFaSKimHE6KZMD3Yr35dUla+I65L+JNPAMuO+/buuaaFto8/bNe7TID +xv3K4sceauHsd1d3r8pmgPn23IprL7SwOpL08xEyoObGLQ+fOi0c7dndxatl +wI3t1Z6iFi1USv9RcLKFAfI/KRODf7VQ2WfxUfIAA6SKROENMtpolTbvxGUF +JlSMHhqooGpjOXejzHw2E9aPHr1RJdJGY9dFwhYDJuTe8in8aqqNuFEkvriA +CfUVClukrLWxm7fW1s+JCS8Cg77OdNNGXr9liakfE2af3+EWtF4bj8UPNdCD +mHBd/vlIUYg2nhNVvZY/xAT2PJqSzmFtXOakUimfzASbS7zcpCRt9Pslq8+4 +yYS2r4ctWNe18Y6tAc/sCRP+HZctv5WrjT7BCj/XlTPB9aXXDZdSbWz76vj+ +ahMTwux95RU+aqO/+WdxbzcTYq7Jiqs6tPGD30u+qwwLjlz1IzKHtdH7h49i +MZ0FsVH1/72RE+C1hHmGS6ax4GaaxUN7dQFe0beq/jiPBU+PiSNqGQL0qcxd +steRBXtdzj7z1xJgmqP5OzM/FngKZqRLTRNg/kBFxUQQC3a8M7W/YSLArgcT +ez8fZoHrmSvv3S0EuDGiwqL8HAvuZuoEkBYLMIXxwqXqFgsOHRQZ19kL8Lqb +PKvtGQvmfy6yvrpcgLbHPVtJNSzwoHTWRHgLUD9xOsmllQVy2Y6TPv4CNFC/ +25M+xAK2zta+/7YLMMe5qkVVlQ2G9859sA4T4JNod5tjWmzwj5GvtYsWYN6a +zhAtUzY0zHhJ8jwqwJ4IcfVrGzbsoFYXBJ0S4O26C4VxXmxY7qkxee6iAAvN +/6Su3c4G367Vym8yBOg92Nyw7AAblvy4oKh0V4Bsv02NnslseMNN11+eJ8Ds +u1nqu7PYUDG27lKmRIDUfP3Ge8/Y8OVj0xnVMgGemF/6eLKGDV2usxZH1gqQ +/rmeurWdDfkW6R+HPgtwb+uSdX9G2WD/4NrxA20CtH4Vyz9B4kDIi7bT7G4B +1m+ofW4r5kDXHHfxs2EBhs8Xv+DN40DtD5PwnTJCtPLyuqXmzIHCPSqvTdSE +2LvOboizngP3whqdJxhCdAp4b7IknANXW1XtP2sLkdnGaDp+ggPDXhH9pQZC +HL609nhvOgeijsQnFs0W4p3akDe78jlAc1rsW24pxB37jszgVE3xeJlfabUT +4t6aXQ6NLRywXZ13UX25EAUyH55LRjjw4FP1GVsfISqFaumVkLigHu9Xd3Kj +EOWXvdLp1OWC0xlexs9AITZd2uFrupALk+Z3nVdECnHpn/H9qcu5cCP0mU51 +jBB1i2rmG23hAs1XKXh1ohCjLjQTX6O5sGBu4PF/F4Vo/q976eOzXLi/n1Jy +97oQNf3u0nLvcsGkwzM4KEeIvga96+pLuDDDkN5t91SIwS1tE+JGLrQonkme +VSrE67mWuef7uCBnmfvCuEaIOu6bvcxVeWB8U6mBaBRi9ZHykjERD2iXmhds +6BDiOt+JD7/n8+BJTKRL2l8htq5QDFN248GGT6r7/oxP+fenJiwP4IHZrs7Z +bsoivDi8jV52iAfTE+98q6SLsPSRr8yOS1P+mXZDvgIRDim3rrLK5UHeBtM/ +CkYi3Khsq29XxYMIuwSidK4I9UaHo/Z28MCkzX5LqrUIb5n2h7RLacK/BY5d +8S4i3JGsMesQVxPMvNJck71FODjp932FmSZMvEkVPN4kwqzxm099nDVhbqzo +598QEcqzCqQubdaEiK1PF9nvF+E7Ts8Y7ZAmGCd+eVIQL0LX0nTZ0lRN8Dot +Gra7IMKbDlkRD/M1IUl+z6Xe61N9VL+VN9Vpwm33YJf8ByIsM3gcatutCets +wiSXJCLs3FE29keFDzrL6VfTKqb6caMGP+nxwcXKPruoXoQKtplKCtZ8IBm+ +vS3bIUKno85tu/34MGtBkN/GfhFGp7u7zIziQ0a+/8VOaR2cJePOnXWBD7FB +N81OkXSwdCJgelQeHxqN/DW8+Tr4sUJvD+0dH3wjV5Ptp+vgjznBlJFePrzc +7mfkM08HbazTyCZkLaAU5K9OttPBBNXwO4+NteBp+9OsAXcdDNffNDPZSQs+ +Cu0F+/x1MNP84WTZNi2oCl/baBKig/fZ1WdXxmtB+9wSObWDOpjT9Cre+o4W +2Ducq6Cd0kFpw2dJJyq0wOEUL3TpFR18sS8uel6XFsyZtsP+drYORj+OsPxP +QxtO13hmWUqm5qHTvxWbaENK8XQp6bc6uHF7wqUbrtrAEj5+M/hFB793q1UO +h2gDfrI6J+jWwV9zvvYVntWGlk1ZCvsndVAq/cSzwSfaEHfiYCWTLMa5jjdk +bzVN7fduzG0XiFEr5v2mLikBpGg7X+6dNaUfaGXb0gTgtU15/zxrMeZttKO0 +6ArA9/GXAFwhxgQ1jbYSCwEU29omHN0oxgOyvlf+OAggY+vbmUnhYvRvOtyw +zk8Az+VnFrYdE2PMkYvO4hABPLx8qCA6VYxh48Iv5kcEUGsuqffPEaN+448z +F1MEYP/G78+5F2IsVJhx0z1HAB1LVg3yPk7lxZCjt74UQNDGFZr9nWL82emf +19gggJKNJk91JsUY+PWTdk6PACZm/Fl7j6aLgb1n3vxQEML2PTKfzunrok2a +s+JxvhBqB9VFrZa6+DRtcHuKmRCs5+gdOeemi8LO3hYtRyH4N9w5m7dFFxva +GRlcfyEc/PrW2Ha/LspkBCxOihLCrMVlhxzO6WLzWNOTU8lCmDk+PK3ini5e +Ode3i5MthBblEXpVqS7qeheuNC0TguJ/1bmeX3XRii0sb2kRQis38O/OYV3M +y6ooM58UwoB8zkItqh42KPf0z+SJ4EeRXNpWIz1U2WuS/mWuCERbFlSuttPD +CXdm71J3EbgZJ86VXq+Hyu8ONO8JEcGyxDiBX7QenhYdD9l/WgS/pFl5By/p +4deq5MKND0RA9zhhHF6gh/PeOjIW1olgzinLTsd6Pdx6OXYReUAE5tSEi6QR +PbQasD7Tz9KBVl7uzmrONHyyYKnVvwU6MOG0x/nqgml4YKvR6YVrdaCoQEI6 +6zsNf+o7mlYe0QHmV+WKkoPTsOXvmZTX2TpgmlFvbps5DZ1u02Mc63Vgntce +hTlvp+Ep1tagPXJiOPhv9MDDoWlYeS3JO3yWGFaOHmA3C/VxUz0pPmiNGGb0 +GM/odNLHJ/3dV8+dEsOzG8fVRyP1UWWbxjedl2II9T+ob3dHHw+tWPNu5ZgY +JGsiL5C+6qND5Pbww2a6cPXmEfElugHOLVYakgnShUMdryusnAyw5eF6T6v7 +ujDE74StcQZo15q67dWALqyYExyWUGaAMZ5bLpoRevBOtn3UVsMQRzenLnNL +0IOYU4crXVYa4siys1nCVj1oa5nHOJtpiIamA8faF08D6+KGn/9JTceIzMNb +l2VNgx/DP1Sl1k7HnGZV2xua+nA67+759xXTMbBwMIKTpg+Gr6dvK7U1wqDy +eJ6nuQEkuWa+MakzQgv782pp7QbgXrC5/n34DDRx3xHElBjCqi6rEA1rY1yZ +VNB04P10kHmWc5ZjZ4K/fWLuT/jMAK99ySKPVTPR9G3pspvDJtDo/jpN6vQs +/B8OfFxW + "]]}}, {}, {}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwt2Xk4VO8XAHD7PjN2M3NlmUqlkJAtTBRSKRSyZckaIVuKVLZIRSmhxRZR +UZSKuEe0UaEvhYTQhlJRyfo78zy/v+b5PPfOuXPPPe95z31G2TPY1puHi4vr +PDcXF+dzcmlRUmo+Af3DmudlHSlQvEXxidYlAh7xzetT0I5hOfzvLxCQbG/B +JYUWyZHZmJRJgOUjpZt0dB2kJ2ik4/Gr2Wdp6JDPok1dJwh44M2nK4NmUZN5 +jyUT4HL+azMT3aHNY7YynoDw0BN/JNBJzrHHOg4T4DTIFy+H1js21RB7kIAf +i2kz8ujRa2HcyyIJ+K/L31safbn1O7stlIAx/qcdDPT2P/5HooMIGJwxWKOI +5ln0kWT5E1BwJ22Acz93zNwXWvYQQCan6nHi+QS8M45wx/P3D8YqoxkZ9ocV +XAgYUg3x4cR7ca+97qkDASKFgQUK6MN9W+ZC7AgolvZqXYxezf9sHXMbOjR+ +dDl6cKVZTKMVAWINRYs48TJt62sDzQn43OOspYK2iNafkTElICuQW2clevrK +HQPSiADvl5L5nHg3nmgc9NMnIM83+zInntu3sgcSOgRwlaukqaHFpVX+1awm +IFvNTYcT75FBvt6eVQT8Y0st4sSL8JA/QFlOQN215J8a6OXHs+5VLyagb3ys +nROvp1zy725FAlqOiRRy4qV1nlwrTBCQOKu8Zw3aeFYoslKWgJsfz8Ry4v1g +Jdx1lsTnO6djsBpdsGlhko9KgP3SjZ+10TtCDmqXCxPAMCXXqqMFs36HOfAT +4NOk+o4Tr6YupIqLm4C9m0+G6qIDh0d/lc4ywUWr+Q8nnoKo7xq7KSbcG85P +1UG3aQ6Gzk4wIfOaA80AfczR9fbVcSZcIpqeaqG147p+WI8y4Vczy1IP/emq +3eqpT0wgJ0Rr16GzX7wKzh9kwstr8wVr0VsmNlVY9TGhjtlEMUTPMx5/n+hm +gvah6kAT9C02W/1SJxPUN+ak6KM9fWuDzNuZsJSb/tEInfw6yLvnBBMEHvo1 +b+fkr6t6rUoyE9pPUQa2oFf1LwjuP8aEuWs6YMP5/aMZZcLRTGidoDbbcur9 +V8+hneFMeJJkm+7AeT5Ti7fmBzPBelXiRzv0s/lAhW8BTJAIu3TZEc3krx7X +82HCzQf/JHdy8iW6AAkeTEjUNWzchSYlLM+0uTDh+pmTnm5oSXqGl7wjE1Tv +C/xxQu9R6NH2s2PCW/vek7vR1UsWC9yxZkL4pKaxC1p4ZeDbhU1MYDvsanFH +l+vOR2exMf9KbgxPNJexxeYhQybcylLI8EHbbUiX19BlwjVL6YNenH5g1f3t +4BomKFU+/uiLntrOIp+oMSGla+PoHrSVw950yRVMmN/+eLs/+pLrHQ+3JUwI +2CNUEsSpJ6+5NWWKTDggXfosAG0aYM73h8mECCV5ejBnvYSc7lwvy4SLdl07 +AtGfI7uKT0owwdWiISeEU6/xAZuWCjEha+dW9f3ovpQqZigvE6KWuXtGojXT +Z0cfzjOg18/0dRg64fzGOqFpBnTBkbko9JuLp07t+M2Ac7K/kyI466Pw7e68 +HwzYdYp+Ixp9qFRJc2yUAVftjZti0a8q/Hn0PjOgeDTf9xBaqbryv/hBBrh7 +BxyMQ+9/OFPU+p4BVb5CupzzHz/aEEl0M+DDm+D1R9EBrW/oVa0MIK9U0uPR +DzsVR+abGfBbVFcqGU3r9au1esKAA09G5hM49Td4O+18AwNqgvl/Hef0qy/T +roMPGfBV6szvJLTAuJmG+n0GKA1UD6eid/1O4zpYxQBDIfLpKU7/mOlsf1zO +AG8r1lAap965FQslyhjQlu78KB291Lfi3is3BqTPS5WWoCv903YGODEgKez1 +1zI0O9B/gt+eAX7N/ttK0S/3mWfk2zBgYlXpqRtop9DFGkZbGfCYv/9pBfpL +GNfLLksGKLyr31jOqe/I9wHhGxjgZHMu9jan/0bXCImzGVBvnkK7hU4/lFV8 +3ZABA64qG6s4/e903LnjdAbM/FZyIzn5vr8tzPQ1HWrZxGgP2rl2lUTfSzos +HtmxqJdzvTrhiujndFhot7d7j46ET1tkHtPBOJ3hNoDmbWwcuQV0aP5BufCB +s3+81PVUrKBDQ3K/zxdO//qgaDN7gg6MDecC/qCjRH6oV2+kg379g6Myu3C9 +LCi8811Phy8PT52QRf+Z3JrMMKKDg2zlAh2tMxKj1aJHhxXtHuEEOrz/en+M +Nh3uZA6lyKOrOnpOqK+mA7SIciuifz0X1htYSYdKNWtFJbQmqTecsYwOKp4e +2Sx0yB3fdLPFdDjyxFpqKTrArf9nGxcdAreHrNJBu1W+ujNaKwcW77NEHNCX +SubcL92TA2qZaLojuvfiKsq2Kjmwy5pZ6Yx2Tk71riyTA3ZqruNutKOLuWx0 +thxM/5Hs9kPbCtRHCUTJQa93rtkh9EanmwbKa+Tg394p7gL0Eo2yAxFqcuAR +oLS7CM3HV1L9fLkcqOtuh2L0o5t5a/YrykFKhNzuG2g2d6Zqo5gchLnlkPfQ +664dZHp/loWPlobSreg1fyymr12UhdkdBukLaMmWDXpzWbLQGnIglMeJAj+v +rI+0OSsLjyRpjvzoW5sMf/1LkYUV8ftfiKLVLqmPWEXJQiboDNDRyzfI9IzZ +yMLwQnu1FlrhzOCD1YKyoGQ3dXYvWs8rrKmDB79vmDe5D22rzdd6YF4GbqqZ +7tqPTn6zdBh+y4CTzwO1aPQPpj/VZlgG3oetW5eMbigc9wxtkAFVTXhbiN5z +d1a08pAM7PYZ6O1HH046KWsfJQNC0p/rhtAXHBSUp/fLwIq4NYWf0S//maw1 +DZCBOA3L4nH0WuN499eOMqBldPj4AlroqfDdXzoy8HtpvZWSMwWud8m6af2Q +hkUBdwy80T4pEdPRo9LwZqf4lD9ayaDjPHyShjvPot7vQ2fmZrRufS8NgZuG +sg6gD7uJrfdrlgZNqythaWjbYe4ll4qkYTyOanEXPTU+9lVglzSE7NybLuqC +6z1vc9LWHdIglPxdUwIdZFPGytwmDdG+tSCLHqz0dVY2l4a1f68vYaFbIgZf +GGpJg6S6xBJ99OWZtxUhFGm459G/1w+9QbAxoqdBCqKeTpu/QN8qC1PSrZOC +B69sb79Gy1svaTl7XwpubNAW70b/zkxU2lohBSLlQ38+ootZli3kRSmQ/Ceq +wOWK+5PxS6WrUVIgnSfWrIN+Ff62JVgNj5+rXV6CNqAfj3yxXApsS8OTytHF +tXrKK5ZIQfaDm2N30XE8OZGDTDzudP11E3p1uovyTiEpEC6rXxhEn73+IdJg +SBIsl10UUnbD9TE4qsyfLQmlhXlzheiFo6uzb2dKgup8/Ph1dLFyhLhbuiQo +XygcrkJPus/PVydLwsiOz98a0Rn94r1+kZKgPr3Zaxjd3Ktz/oWdJDzN4v6r +shvXw9s4kUwqnp9YIFyFHopsOsoWkQT+50kKD9GpssL/xvgloezcEv3H6K6d +Zz5vnJOALUEfTrxFR3QUNf0dlYDxxmW3ZtHl7c8POz+XgKcxm99YumN9vJCa +YCVIwOlPV4S+on03q8yGxknAp/4lVpPo8mY9/oaDEkBJrj63gDZ67iq3O1QC ++ARTHGQ9sJ8/KTHMdZOArdusD21AnwPDBCl9CWDKldoVokXuesnwfRcHq4Xd +ZXs9KWCjHalg91Uc9+Wx6wfQF6qOLysYFgdr8fH6RPSyypv67HfisHPBXTwP +vaHir2vMM3HwPKoX2ImOKz1RPFkgDtXRTgwzL8znpSrdjw7ikKzDBap7sJ8z +nCgJduJgItTWrIeeyuQaYm0Th9NB/cPm6NkTW0+5m4vDqjhuCy80/8HPw++0 +xeGNRd/ji2hZe+LMawlxuJny9p6kN/ZXeYHuuCwaHIy6MSbig/1ayi6h7hQN +NJ/EchHoAyJ5GjOJNEjx81JZiT46pZ8UGU6DRnrE1c3oMx1BWkE2NEi7PRd1 +En0HB2YnURqkswLjpH0p8G+2yFQnjgozm0wKVvvh/t19TuRKJBUklM1vmKKb +7ya9FtpHhf0Hfj7fgc7Z5+fZ60IFpRs8JtFog4GVx+INqCCg2ybRiD7UWNnQ +/hvXieHefU7+FJhLAfa+QArsvMs+dyEA+4PPbaEuzJuMuumqm+hXpgVt63Gd +27iHdzcEcNZnvLuMFe4ztbkRo2jjIIsjD5dRQL1Z8Z7JXsz/9lekyJAYbORV +jxhDc8v1GpfsEoPUz97xDkEUKKv0U7XfLgZ6tbk8oWhb698y/BZiYDNLvZKK +LkikfvPUFoPRlsjV9egNk+xcBZoYkHvj7qnso8Dx9qt/zzWJ4lwZHDGHFk8L +vpWgIQp7jLYXPgqhwP1ls7laKqLw6OlDsQG0R+Px5EF5Uejna86aQ1dO57ux +RUThQ+hGKf1QfL/w7xCbHRaB8eW2RbfRF8z1/cNyROBpcdn20v1Y/9y8LE9+ +EfBbOf6lKhzv99y94luzwrC7JCTtP7TLisCVCxPCcF/7hs0E+oJNp/bFQWGQ +sY5crxVBAYmCEos3pDA4OM3X3EHzmG0JsjooDCFLj2nXR1JgOOHc/TXjQuDT +O2w6dgCPM6yMjn4SApVbIR7i0Xj9m/MNre+FwOX2jmJttEunb0vgCyGYEU0o +jEV3LjXoKy4VApt8kRCJgxR48qSPl9gjBEelAiLYhyhQIrR8G2+3ICy8b7Or +i8X5zuXA3/OtgqAW38Qzgt5T8eyK6hNBqK4aGZY9jNez9/9hUyUIPy2PmoWi +cwrLMvJOCoJ4q2XI8jgKnDJW6zAyFQRTT0Zt3hFcT+Frdh24LgBMeviDmnh8 +3356jFusQAAUHKpMvqO1iP9Kr1wQAIeYCi5WAu6HDWHTTxIFoCW2TisVHUC7 +myvjLgCqeqHerok4j5Tp9lVKC0DRfi5NWjLODwPrvL7F8sOgjOzGglTc3xia +y2+G80N6uMfJXnSzzdJvgXv5ofPyMVm5ExSwbqREjTnyQ5yB81ga2rG4L3VU +ix9q2oXKD6Xh9QKPVH79ygdCwUZPvU/hvDjVyP1pJx9U6xdb7zuD9ah5/8nV +LXzQvvB53W20TMCNE95mfHA6fGXEJDrnXabMx9V84L/rR9OhsxQorPdeMSzK +BzYGIiMnM3G+SxC0GWzghaYJs3Q4T4F34pvz+tR4gXIvKdUjF+cTU995o6W8 +MPJ6i0op2ios3uWSPC90pvmI/kTXdNbSXUR5ofb67cqjF/F6Oasyur/wwPWK +6NjiS9hPl1CPdRTywPe9RmbzV/B9Ubfdq5nBA8uW38/6UoTx/b81rJDgAed8 +yzH9qxg/R1gpRYgH/rYknT2Brpld32vxlxucaJbvNIoxfkPljscd3LDmWLpj +TAnG35y5EU5zQ+7pK9uXllGg281hWTU/N4y8y4x6UIH52UYrdZrlgpnDj84s +uoX5N3mquvCLC6gzQcQxdI2SrrrlABdcezUbueU2BS4Oyur01HCBZpOp16dK +fL4+b0zng7mgqH4iTKMa6/Vd2cO0OwtkVCxRzKjD/D1kQmf+AhnK67w9DV1y +KbVR4fQCaQdNkQvo47sDmm/5L5BSXIIGn+spsHloRVeHwgKZd/9ryUPA9+OR +axPyKfNkjs3Z03FNmP9/xao3XedIBnyT9X+B8Vt83HW2zJEtrm0xQ+gzl1TO +1xnMkVJzCy5uLzFf64u5X8nNkdqevKd2vsL7OX6163v7LLl5+k39pjbMl1xR +0mrzWXKnc079pg6sL538wSr1GTIjMdDtei8FtAU96OsWzZD1036jOu+xP3Ur +WTeJzpCGc1rcDehnMXkPOr5Mk00E8byrjwK6TVfSfxdMkx9qE99SP+D+YnfZ +WFdumqRMZDud+4jrKSQ3p2ZhiiSc//nRxnHeaDgj93JsiswKUlF4gD4pkZrZ +3z1FfiaPJ3n9oIB55YFTfHemyEmfE2E1PynwYGLnMWu/KVI6dKItZBL7d6R4 +wGDbXzJxC12da5oCfjGJ+iIFf8i5NXSNcn4qNL2IqZY//Yc8H9KSFSxABeVF +4VoaMX/IieqDzzUFqdBT56m2w/4P6WZbmHpfiApbF0yUL4v8IW+l0C60ilKx +jqaF1oT9JiOe2RxZIon7VnJw164Nk2Rv6JOifYq4LxWWn2rSnCT7H2ZlmCtR +YUP9tw0aipNkqNEze0VlKqRN7r3NNz1B/ie8Iug/FhUUPPxSKyomyIt09b6N +KlRgG3is4ycmSO3hwvAdalRIGrPNu/XzJ3l47nz+onVUYBUEtlGNx8myKsXs +VNwH19ek5nsS4yQrsOrfCVcquL++tr966jsZmamw/pQbFa7wfJR2q/pOzmUx +ks+5U0Hey3XXzeXfSd4zvDwVe6ggs8R6cLPUN/K3i68FNYgKQsUak8e/jJAx +a4IeHDtMhe+lv+R4z34ic2n8i/2LqEAl46L2Bn0ij7yKOd50lQoaHWJv/7P4 +RLo2+q1WLqFCyLzK+aLZj6TjOrXNfaVUmLB1ljb3+UjqS3k89q2gwtRMo3iK +/jCpkFybeb+GCtzW54RpAx9I3b+5XxxeU2HFcPAfHacecnnvY27gpwH99fPD +vNI9ZD5t+xp7QRoIwGLB9pfd5PP95uXfhGgwmPtWLnB9N/nx3d4TSmI0yLEz +0S9Y3kU6PjQbPydJA7FGagz1byf5RteeBxRp8CP/Jvfns+3kRckNMbKGNAgi +3zBW5zaQ9RPu+b8jaHD857PJNIkGMmjf+uqeKBoULK5t/ZoMZM6vPWsbomlw +g2YiavG1nqyKVTp0JpYGcXltg2oXa0jtndQV5jgHLXk0kTHDXUleu2x0/Vcm +DQZusgX7Kv3Jx/68H/bcpcH8g4srsl+CycJl7rn2aRr0nf0uPeLZYBLLjna1 +nKNBfRCby3CqwcSuPy4bFmhwWHn4TS+r0YR4UmjnzCMO88dXJigdeGzS6nQ0 +y0UQ7VDTV8JqNuFtaNychnPbwvTopne17SbBM3X/ClTQF4QXvoq/MzEqtpJo +wLmwf7I0bcTok0m1ziP50UpxGO6lHV5XPm4y8ctQdkpVAhJXP/uoFz1p0vtq +U/GJSgl4pps2ldQyZaJunDY9xZaE95dDjMwOzZl807khfn5MEjK8V0Vlf+Ni +DzrnpmzB95CHrBKVVEletubnziFTe2loo60Z1/ThZ082t9QbqctATH990ESG +INuiNsLkLa8sSPQ78weOCbNZRR/8mX9lwbhh2nZeQYwdoH7tvw9DchBulReV +Yk5lZ4iXKL/8jw7N3Nd7vK3F2avuirTu72dAcWtSx1lvCXavycBamX4mRN0d +cVqUKcmeb/57dNc/Al58b9+yuE6KPZSiR7yQXARBjBrG2tfS7KaSO5Ph8grA +46IaVjQvw06cdPQyMFGEodO5JYpycmx4HuroslwJLOXSLeRU6ezpgdr2lRVK +UFAtFh6wg8GOrGvwp5sqg6VF6qHmACab5/YHlfIWZWgsrz50NZjJZgmt3CPz +ShmMZYcOHQlnslVnS67FtCmD1kfDmLWHmWyPHnmLzZ3KoBD/LaYgg8m2oMt0 +f+lThon67YcP3meyezODrZb+UobLa+WOqgoQ7LJt39UK6SxgXDY7yi9KsDMO +vDYVJViQyR9ydIBGsNUDpl3DFrEgpePZ0fMMgt1Q/q/YjMWC8P0Hj/GoEewj +qRPHhleyYFP5+/geO4KtWN/jssyEBU0yIgl3HQm2nkPj69PrWWAcuzYh3RW/ +Lx9vPWXGAu0tpxPMfQm22XyQw3NLFiiMsBMrDxLsiZ2G5XttWZBtE5R4Mo5g +n3FZZtuxgwXSD7IT/RIIdudw9cw6BxYIH/+VqHCKYLuqlOymurAgYVwh6d8Z +gh1nPsOIcmPBvP3mpI4sgj1+t7u7350F0fVRSRUXCXab3rorll4s+P//Kezh +bPmA294s+B/eyQz8 + "]]}, + Annotation[#, "Charting`Private`Tag$143786#1"]& ]}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + ImageSize->{585., Automatic}, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Part[{{Log, Exp}, {Log, Exp}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Log, Exp}, {Log, Exp}}, 2, 2][#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Part[{{Log, Exp}, {Log, Exp}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Log, Exp}, {Log, Exp}}, 2, 2][#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.714237192861849*^9, 3.714237278108419*^9, 3.714239147859034*^9, + 3.7142397145181503`*^9, 3.714244839156539*^9, 3.7143113116700573`*^9, + 3.714311439192999*^9},ExpressionUUID->"afb96508-be7c-49f4-b55e-\ +a45bc622f935"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"i1", "[", + RowBox[{"[", "3", "]"}], "]"}]], "Input", + CellChangeTimes->{{3.714253734230193*^9, + 3.71425374642171*^9}},ExpressionUUID->"54b9db9b-8a0f-4f10-962a-\ +2c5babd741fa"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"0.006466910207880226`", ",", "0.00005717924596405139`"}], + "}"}]], "Output", + CellChangeTimes->{{3.714253735807671*^9, + 3.7142537472978373`*^9}},ExpressionUUID->"75403a79-a241-4d19-a93d-\ +d29e4b6c034f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol5", "=", + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{ + RowBox[{"eqset1", "[", + RowBox[{"[", + RowBox[{"{", + RowBox[{"1", ",", "2", ",", "3", ",", "4", ",", "6", ",", "5"}], + "}"}], "]"}], "]"}], "/.", "#"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", + RowBox[{"A", "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "/.", "sol4"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"h0", ",", "0.15"}], "}"}]}], "}"}], ",", + RowBox[{"MaxIterations", "\[Rule]", "20000"}]}], "]"}], ",", "#"}], + "]"}], "&"}], "@", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "\[Theta]cCas"}]}], "}"}]}]}]], "Input", + CellChangeTimes->{{3.713831066059136*^9, 3.713831114419949*^9}, { + 3.713832086342939*^9, 3.713832087146991*^9}, {3.713832443210457*^9, + 3.71383247590783*^9}, {3.7138325453876143`*^9, 3.71383257899848*^9}, { + 3.713832645046439*^9, 3.7138326560760612`*^9}, {3.7138326991394243`*^9, + 3.7138326994458647`*^9}, {3.713832816558237*^9, 3.7138328172172956`*^9}, { + 3.71383324788846*^9, 3.7138332492651052`*^9}, {3.713833327860799*^9, + 3.7138333291494303`*^9}, {3.713833418470818*^9, 3.713833464722061*^9}, { + 3.713833594839151*^9, 3.713833611792164*^9}, {3.713833751232513*^9, + 3.7138337733205357`*^9}, {3.7138338935803432`*^9, 3.71383389764952*^9}, { + 3.713833977265209*^9, 3.713833977437888*^9}, {3.714130746095714*^9, + 3.714130752417535*^9}, {3.714131444777457*^9, 3.71413146194755*^9}, { + 3.714131811697412*^9, 3.71413182020647*^9}, {3.714132504897458*^9, + 3.714132510886056*^9}, {3.714132583386449*^9, 3.714132583844833*^9}, { + 3.714132701221189*^9, 3.714132701782814*^9}, {3.714133534399131*^9, + 3.714133558984832*^9}, {3.714133594451292*^9, 3.714133599334178*^9}, { + 3.714133656289473*^9, 3.714133659408723*^9}, {3.714133702685569*^9, + 3.7141337095377398`*^9}, {3.714135158602571*^9, 3.714135161377743*^9}, { + 3.714136383553753*^9, 3.714136390710567*^9}, {3.7141366366138763`*^9, + 3.714136640247182*^9}, {3.7141370624049597`*^9, 3.714137067529714*^9}, { + 3.7141374146316643`*^9, 3.714137417524489*^9}, {3.7141376643046007`*^9, + 3.714137667902017*^9}, {3.7141378776131363`*^9, 3.714137881686089*^9}, { + 3.714218827498001*^9, 3.714218869025569*^9}, {3.7142189863315353`*^9, + 3.714218987954876*^9}, 3.714219860194908*^9, {3.71422000943849*^9, + 3.7142200229751*^9}, {3.714220528713284*^9, 3.714220530958644*^9}, { + 3.714222448169318*^9, 3.714222493675877*^9}, {3.714224116376823*^9, + 3.714224124055456*^9}, {3.7142265274866257`*^9, 3.714226537415072*^9}, { + 3.71422755090343*^9, 3.714227551248034*^9}, {3.7142285616056004`*^9, + 3.714228571445447*^9}, {3.714228617742125*^9, 3.714228667463087*^9}, { + 3.7142287129795523`*^9, 3.714228713223896*^9}, {3.714228935225925*^9, + 3.714228938864719*^9}, {3.71422911606817*^9, 3.714229133329981*^9}, { + 3.7142292386320868`*^9, 3.714229245435895*^9}, {3.714230235981173*^9, + 3.714230323990468*^9}, {3.714230396529126*^9, 3.714230414600062*^9}, { + 3.714230688859643*^9, 3.7142306967192698`*^9}, {3.714230804099308*^9, + 3.7142308083055067`*^9}, {3.714231108707711*^9, 3.714231119273892*^9}, { + 3.714234044315946*^9, 3.71423407577668*^9}, {3.7142342031374617`*^9, + 3.7142342182984962`*^9}, {3.7142347884054403`*^9, 3.714234860081077*^9}, { + 3.714235136722487*^9, 3.7142351557932053`*^9}, {3.7142375390176773`*^9, + 3.714237541908584*^9}, {3.714238260860187*^9, 3.7142382853524113`*^9}, { + 3.714238401919981*^9, 3.7142384339898043`*^9}, {3.714238481864447*^9, + 3.714238513094298*^9}, {3.714238562008102*^9, 3.7142387935640097`*^9}, { + 3.714238954945271*^9, 3.714239018460537*^9}, {3.71423906060011*^9, + 3.714239074625094*^9}, {3.714239582453517*^9, 3.7142396877118473`*^9}, { + 3.714239884756308*^9, 3.7142399368332033`*^9}, {3.714244242032011*^9, + 3.714244349367136*^9}, {3.714244528637442*^9, 3.714244579228953*^9}, { + 3.71424464211333*^9, 3.7142448078237457`*^9}, {3.7142459168523607`*^9, + 3.714245972705943*^9}, {3.714247434516253*^9, 3.7142475441516123`*^9}, { + 3.7142496101823387`*^9, 3.7142496363155737`*^9}, {3.714251336365851*^9, + 3.714251341048628*^9}, {3.714251439933337*^9, 3.714251490629084*^9}, { + 3.714251525366747*^9, 3.714251641006934*^9}, {3.714251703650457*^9, + 3.714251782007164*^9}, {3.714251841256949*^9, 3.714251841529937*^9}, { + 3.714251905813477*^9, 3.714251914947798*^9}, {3.714251976080098*^9, + 3.714251976396077*^9}, {3.714252155459276*^9, + 3.7142521568926697`*^9}},ExpressionUUID->"a5e8390e-22b0-4b69-b3d3-\ +f56410148658"], + +Cell[BoxData[ + TemplateBox[{ + "FindRoot", "cvmit", + "\"Failed to converge to the requested accuracy or precision within \\!\\(\ +\\*RowBox[{\\\"20000\\\"}]\\) iterations.\"", 2, 932, 334, + 24341478121268143615, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.714251705569769*^9, 3.714251769261262*^9}, + 3.714251812515238*^9, {3.7142518855352383`*^9, 3.714251909102304*^9}, + 3.714251954644566*^9, 3.714252113203176*^9, + 3.71425236774688*^9},ExpressionUUID->"3d753f0d-3cf1-43ee-ab31-\ +933bb47c49db"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", + RowBox[{"-", "48.352663544832`"}]}], ",", + RowBox[{ + RowBox[{"b", "[", "0", "]"}], "\[Rule]", "2724.137437549001`"}], ",", + RowBox[{ + RowBox[{"a", "[", "5", "]"}], "\[Rule]", "676.2185241808675`"}], ",", + RowBox[{ + RowBox[{"a", "[", "3", "]"}], "\[Rule]", + RowBox[{"-", "337.8165859286815`"}]}], ",", + RowBox[{ + RowBox[{"a", "[", "7", "]"}], "\[Rule]", + RowBox[{"-", "319.2758594229329`"}]}], ",", + RowBox[{"h0", "\[Rule]", "0.01329555771004111`"}], ",", + RowBox[{ + RowBox[{"a", "[", "9", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"a", "[", "1", "]"}], "\[Rule]", "1"}], ",", + RowBox[{ + RowBox[{"b", "[", "2", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "4", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "6", "]"}], "\[Rule]", "0"}], ",", + RowBox[{ + RowBox[{"b", "[", "8", "]"}], "\[Rule]", "0"}], ",", + RowBox[{"\[Theta]c", "\[Rule]", "1.08144`"}]}], "}"}]], "Output", + CellChangeTimes->{ + 3.713831066559284*^9, 3.713831112701861*^9, 3.713832085309751*^9, + 3.713832213217502*^9, 3.713832469145215*^9, {3.713832566552652*^9, + 3.713832580159816*^9}, {3.7138326486045513`*^9, 3.713832656563046*^9}, + 3.7138327000043077`*^9, 3.713832817815892*^9, 3.713833249897732*^9, { + 3.7138334097009583`*^9, 3.713833446022357*^9}, 3.713833502321727*^9, + 3.713833599305018*^9, 3.713833647022871*^9, {3.713833769394644*^9, + 3.713833773886001*^9}, 3.713833898074008*^9, 3.7138340429331827`*^9, + 3.714130757378046*^9, 3.714130880596764*^9, 3.714131561114294*^9, + 3.714131753507765*^9, 3.714131828422593*^9, 3.714132512037507*^9, + 3.71413258529675*^9, {3.714133549525511*^9, 3.7141335649308853`*^9}, { + 3.714133632159852*^9, 3.714133660095747*^9}, 3.714133711912559*^9, + 3.714135285413211*^9, 3.714135387844594*^9, 3.714136022737186*^9, + 3.714136480577766*^9, 3.714136640920517*^9, {3.714137064281291*^9, + 3.7141370685324583`*^9}, 3.71413741841052*^9, 3.7141374981567507`*^9, + 3.714137769705905*^9, 3.714138046760125*^9, 3.7141381858166523`*^9, + 3.714216712183929*^9, 3.714217136828486*^9, {3.714218828235538*^9, + 3.714218872339191*^9}, 3.714218958388823*^9, 3.7142189930998707`*^9, + 3.7142198610492487`*^9, 3.714220052703328*^9, {3.71422052396697*^9, + 3.7142205313956957`*^9}, 3.7142205729616823`*^9, 3.714220727485052*^9, + 3.7142207797260923`*^9, 3.714222052421081*^9, 3.7142221371674623`*^9, { + 3.714222437065796*^9, 3.7142224941504517`*^9}, 3.7142226417829943`*^9, + 3.714224124533435*^9, 3.71422535301851*^9, 3.714225566927404*^9, { + 3.714225707618058*^9, 3.714225710971065*^9}, 3.714225744660089*^9, { + 3.714226512966567*^9, 3.7142265379184227`*^9}, {3.714227546726138*^9, + 3.7142275516178207`*^9}, 3.714227904866914*^9, 3.714228531300805*^9, + 3.714228572303961*^9, {3.714228645091041*^9, 3.714228692419847*^9}, + 3.714228774876802*^9, 3.7142288374882793`*^9, 3.714229083432063*^9, + 3.7142291350721397`*^9, 3.7142292459275837`*^9, {3.714230247213169*^9, + 3.714230268921009*^9}, {3.714230391794167*^9, 3.7142304157962513`*^9}, + 3.714230773792137*^9, 3.71423081126753*^9, 3.714231188934504*^9, { + 3.7142340682534113`*^9, 3.7142340767786837`*^9}, 3.7142342252326593`*^9, { + 3.714234800427127*^9, 3.714234852488331*^9}, 3.7142349314486303`*^9, { + 3.7142351496496983`*^9, 3.714235156674369*^9}, 3.7142376372229967`*^9, + 3.7142383723799267`*^9, 3.714238435445239*^9, 3.714238515486742*^9, { + 3.714238601049823*^9, 3.714238794009695*^9}, 3.714238961244232*^9, { + 3.7142390045197153`*^9, 3.7142390196999607`*^9}, {3.7142390621028223`*^9, + 3.714239075312615*^9}, {3.7142396088356256`*^9, 3.714239688272138*^9}, { + 3.714239888198669*^9, 3.7142399403489513`*^9}, {3.714244256472293*^9, + 3.714244346505122*^9}, 3.7142444395168657`*^9, {3.714244540912396*^9, + 3.714244576221293*^9}, {3.714244628438135*^9, 3.714244693061357*^9}, { + 3.714244724619122*^9, 3.7142448084888573`*^9}, {3.714245957562005*^9, + 3.7142459835067463`*^9}, {3.7142474359209967`*^9, 3.714247505025838*^9}, { + 3.714247535310546*^9, 3.7142475480159187`*^9}, {3.7142496117282248`*^9, + 3.714249636903482*^9}, {3.714251337448894*^9, 3.714251342137124*^9}, + 3.714251466239421*^9, {3.7142515227401323`*^9, 3.714251575581444*^9}, { + 3.7142516090026493`*^9, 3.714251637358695*^9}, {3.714251701682328*^9, + 3.7142517694522343`*^9}, 3.714251812583099*^9, {3.7142518855691643`*^9, + 3.714251909138688*^9}, 3.714251954711607*^9, 3.7142521134462833`*^9, + 3.714252367778821*^9},ExpressionUUID->"c02cf6ac-ef5d-4995-a66b-\ +030ed27396ef"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", "\[Theta]", + "]"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "0", ",", + RowBox[{"\[Theta]c", "/.", "sol4"}]}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.714237194433928*^9, 3.714237249207802*^9}, { + 3.714237753134924*^9, 3.7142377532661743`*^9}, {3.714239104313715*^9, + 3.7142391047056093`*^9}, {3.7142496210279303`*^9, + 3.714249621212278*^9}},ExpressionUUID->"9d7a4bf8-fd51-4488-ba75-\ +da6bee3a1bbc"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwVl3c8lf/7x+15pCQUISMyIuMcJNedMiIpJJ+KqIRoWCllhvRN9h4RskVW +lNy3Edkis3CcY2Wdg8xSv/v3zzmP5+M9rut6vV/vcR+6fs/MnomBgYGI//z/ +f/WBpy9Syy7plH3oMduuuqKzI6xCXa1Vh4LseAYuF03YYNnyaarVg2cRbf8J +OZ8Bj0dX24tqL8KsSGnzXsf/oEx110pGrT1ckPkYd/2qE3zd7cCaUusJW7Is +F7oVH0Ep76rlTSEvcAudGpOv9obIXX55ih4P4UhXz9Af5AmcIyQYY/KPQZDs +xZNu4gdTT6lf3Ez8ISvC4rNCXiDY+e3lTawNBqfLLJz57qHQ4zv8/sntENi7 +Z8yMQ+Y5IL7ptnZCz4C3LmZnZug5iPvIl8l5hILRYCnfNukFjHmfuvhJ/gXs +mAgWSVFewjlvzr+vh1/AahK7k25oOHx61J0T8iwM7l5I7n2qEAGpD69smlJf +QkZVbslrUiQofqwxcTWJBAE79IPG3SiY/CCSeSM7EqTKHCzUaqIg9YPf+sXf +kSCYUBe4lzkaCB/00rXyo0D02mqQfUw0zFd/pTOzxoB4sFd41ZsYyKxW01u/ +EgNEFldNxZkYuFydkDRbFgNON8st/pOJhbb31rqdtrHAMhvX9yErFvKrfsbE +18aBX6/SAGNYHJzvvyY7fCAeui5S3Nlb4mB9tb9W+FE8lP69M3eBIR5OH2uY +ylBPgOzHE+KJd+Jh3lTDmxqTAKShi7rBr+Mh+u7bXYdXEqA3sPFfUl88kAuT +SYVvE0HR6qrwQZUEeNa2u2ORkAQn50iUJzYJcPRniK2ycxIceOshMBOaAE8O +uz+vlEmGE+vNmZ8GE0BS7+fBzeBksN4j4Sz8JwHablwr05pMBtdX9wNuiSaC +0Gvj72hGChhr3niaezURULT+HtO/FOhTN58Jf5gIt8ZILHrWqVAW1f9cPzoR +eHaKE599TIU6/7dHWvIToUJYSrFtfxoM5VWEcKKJcEUruZ7wMA0K877ZsfUm +AtN/uy1NB9KA+RW/TxUlEfK9Quai1F5BS2FCCt9yIpyP/+P7LfoVpPu9Dti7 +kwgbFW57BZdfgeJg0q93bEnwqm829z/TdFhm2f1xmicJ9FZstFOL06HOoy61 +gC8JHoTedqSxZsCoUvj1df4kaEt4U7ZbPQPKbZMHGnA+mEv+c+xmBogPqDZx +4P3vVwkbmMdkwM2QyQ0M17Hps2WUR0MGROxxh0mWJBDqj/oet5wBBaemnZy3 +E8F5skP6vfhrsI8PNTBdTIS6Vfb7Q6avQb9sPj90NBH4mE992PJ9DRG0+Ru7 +23G9+HxZhN++hpyB8jPjlYlQc6jmnPboa/iTjiovpSUC4divRGtCJmSXk2nq +TxPBFlGi+h7PhFuyJ6+V2ON6mt5WzLidCdd1HazM9RKB/dobr/qkTNBZ1qg6 +IJEIl++S6ylfMmHO5J/F398J8NZHmMCymQkjgrf5NnoTgOmlpaW0TBaMHovp +3MlJgIupURn6llngJsrkwP0wAf58YFd/XpEFLr4cdaJ7EuB8m65fATULYu6s +nBIYjoesYZ/Wdr5skBLp0thMiwejzVXrXa7ZMJJydfc10Xh4xa6Up5SRDTyC +l1v6h+NgWeD2yvnubBBKmIo7EB0HierkkBjFN0B5d0x1ZTMWFk4Lf624+gb4 +tbIpD3JjASwshQdevIHTEbzOxWaxMO3WUSI09wbSshuG96bHgFpp9VBaTg7s +vxt/jpE3GvpSBRPSe3NgPqUhKx3ft27PH1x8/TcH5O47FMqfjIKS62q92Za5 +0LO8SFi/FQly+0rbC9ny4NOG9o7T/pfQysj7v2KVPEhwdw49JRIGjkt3DEts +8iALePLThF7Amxb5z2VVefCl/OGDnJ1QEPfOrau5lQ/XGBfvd3kFAXqLzedj +dD7YnglvvK/3FGzM7Y9/qsuHlnnHME1CIKQoSFZjAgXw8qWGqSSXHwiMv3rX +0lwAk+xirnp6HkA4HZ/df7gIDHIKq5+2mKKFymvXB82KIIFzQ/ccjzVqdNDi +0LBvEQzlRCWkaNqjz9b3vPoxUAQbnrbd13xcUab8lwnUkGK47/2pwW7DD30d +t3BxqqwYiKoSU25jASgSaMw/M1YMV+u5zwm1PkV9rnBGzRHfwvnW8G2Nqmfo +Jk/w/5an34LNCncJ03IEmrBNNVzlKwHeUE43Dq4olDijy76mUwJMh3Y+FYlF +o+4YQ9BmfAm84qsNvX4pFvXSrKvzkyyFX/eUfuzfSkRX5jWrQ/pKQaSdN1Yt ++DW6dKpDaP/PUng/Pos0KWSi8yk2jwr/lgIxSkHJayATnTR+qtVz5B3w1935 +cl45G+0v7Kjd7/8OsrzTnwn9zUGrna/VFymUQfD+Cn4plmK0onH5EOiWwevp +EyJ7uovRd8JBgV8vlcHMl6wxw9S3aEF73qn1wDIoWOc+8lW0FE2RX/kMw2UQ +w+3zULzrHeo7H9TWG1wOnnw6s9n2laj3KUF5+5Ry4DB+58A0Vol6peS/2Cgt +B+f2D6GJl6rQ+8ZdZ0V+lEML88V77ufeo3aFgt32KhWw980rOotxDXrauaBv +c6wCsHtrkq/8P6Hc890/RDWqQJbQeWXSrRFt4nIwCTatAiH1kyKv2xrRJ3J/ +P83fqoI1k3Ov5CWb0AUnhfTquCoQPC/SWDTQhHbMhtqZrVaBo1fHE3eDZjR8 ++uR08Nv3UOal2156vhXVZxu2XPj8HqTKwxJeVbaif6Xvt5iNvodPP/Nu2Qu3 +offsX+WJEaqhmsW22/9nG3p+cvt2jVM1NAvmMDJFdqB8lHLaglQN0P5yi91g +7kHbGI1tzbVrIO83ytWu3YMGHqL01JjXgPdlJ2r2gx501XZ3WUhgDcRJbL4t +me9Bv427eIiTayCGX2tO7vtXNG5Uess85QM8LvDezdjThwoNJzB93FMLB+tf +qjvtHUIfzCDFUTK1YNxucmHIcgj9tvbzkuOJWgi1NPQrTx5CI/i0i/c51cLz +/zZ4SiSHUbaz5Ev3sVr4pnump15rBF2rky2WvvcJ3FktRcN8fqC92TWXIjvq +4DGz9WhxIRlVLr/O5ECpA5P/WQ3ZfSOj4fXcxSc266CtbueV6Q4ZNRqzZpqX +ROEqJsc4bDqB1gsyFes9RiG0+6tyzsYEaqUnHbDDj0Eqj0CerhkV1a++M1DW +iIEdWwGrrto0ap7VpBrajcHnfTqq9xynUdtw4Sjr7xhsB5ZoTKZOo49uthpz +rGLAH+RnnMM2gxbtlq63lqgHw3U27vDRGXSv049CjoB6kPCOM2RP+omS9xsH +2Og0gGLjv1J3g0V0kSVzTNWoAV4cdtUeDFpEt2mbxzktG0CcoH85pGER3duc +s15+pwF/j5l+aNFZQvXdmFw40xpghVT0b1iLhha31VhW/G6AqJS+0fwMOur9 +WFaBq6YRgsmd5w43raDWg8pGeU2NsCrhycUys4IiqpqO+j2NgLYXvWPnWkXZ +589kB840gm349IL/+VU09rKzyO99TaDWuKWhPb6Klmi+JSy4NYHdocjfY8xr +6OSG6mKnwmdA7AifBW9voKYe8DYqoxlGfuQNHCn6g4a0nP/pUNgMQTl5Gy39 +f9DaA9eldKqa4ZYYeTj03x9Utj4oea69Gfwdu1bdzHdQhl1tIac2msFe/MDG +7J8dtCzX4tqaSQvs/GnpvWb5D+X/7rT7v98tkKqZKNu6hxEbOhnrJm7ZCk75 +s549e1mwhc3cSrJdKyyKvTgtrcSCMZR+3My40wodEp/Gw41YMFlRqu+h4FbQ +X215khHAgj3cPvZCoqIV1qI/XvxEZ8H2l3dnSfG1wVg7+I32smKXpbj7Zbva +wOKvk3JlDjv2nS2QdEy/A0JXbYuehXFj0RnFOmdYuuGpqloReWAP9uv9gRrD +kR5A+4JYNS8JYFeF5fuKTXtBM0M68Eq9MCbqdDlcoKgPZu71HedLF8fSVAbO +YNL9kBLFYRvZKoktCPgLByYOwA/kf0NNHDJY3JRhuMHKIAylvf0mdkgO+61k +w3jOaRhoH9ZIkT6K2Meb0fusWkbAdqGildVQGdPYt1cuS/cHGDx/Vpo5dgwL +JtdbsL0fBbOXE2LnTFUxhfgI8Tt843CMp2jFNFANW/mLoqZC42Duaesu80wN +e+9At1ERHYfyr81Fv1+oYbqaF9I2joxDScCaTnKcGmb1g+9A4MlxmBnmjy/J +U8OCJeL3JtwfBxUFl48aXWrY2NtUtvquceDe+92xTEAdyxbsfJP1bRwSXTZG +hYXVMSf/ndMhI+NwoiT4fYCYOvbrgs1T4+lxmCZmv9SVVce418QYBnbGQW6k +yydRUx1LTfv6xFOADEeUyEoxV9SxL1SLB//TI4NvbcKBslR1jMFSqfOMIRmC +fPdY22aoY6QvnFKcxmRYFeFX485Wx3KK6r4+O08GYc3iBMtCdSzIU1Yx+AoZ +kGX5ncYadQxh/0P1cyUDsxnl6Ua/OlYtl3XBM40MEYklaDk3EaOn+uSpZZAh +JuQKSt9FxGR4rf6tZpIh1GaBX46PiMWvEord8shw10niQ5QQEfOofcBxv5wM +TxNH3qtJEzHlc0bo7VYyZCXbfG85QcRyXZcVbNfIEDfI0rHPhYjxI5vlezbJ +cFaan6fjLhEL3PVPq3GbDJFMgxG+rkTsaiHhzGGGCdC51Gg+9ICI7Z6SsV/g +mgBHKf8cmwAi9tDKJu2h+ASQonazVsYRMSNo54kyngCHqicGPh+J2Hue3ljd +cxMggoZGV38iYlI/hoR/nZ+AE0+j5mkoEfv7cPrIJcsJqDRxrDdrImLlZYz6 +B+0m4Kv5nq+zHURM5LCGb/6DCXi4LS5/cZSILRHeLNW/noDPZuVXpH4TMTOP +oo3i7AmghU51Me/g8b6XMyTnTsDZGR/7sb9EzL+ggc+teALsjSrXgphI2F5D +MlGiZgImUp3uJ3CSMI2nwn6BPXi7TodejwAJS52TCL3bNwEXlGuF7YRIGKOZ +XNTlgQkYeCaztbCfhLWJa2ap/JiAXs6yxjUREna1zrKFMjMBxJtNju0SJCxg +K4r31L8J4EiRCgxWJGHTtklCSkwUqFeT5Ww+SsKMvmQcEmalQIDzEx9GZRLG +n1CiuspFgR6bdhknFRKWo9Z5KUuAAgVpVy79JpIwrtRvthH7KWAfrnRwrwYJ +u8f8w+mxCAVWixcbpTXx/HvnHptLUKC3Qejt8eN4fvc4MpiPUmCP7OH2I0DC +jg7y5tOUKXDUQuuuEELCYnQEy76rUsAx1mia8SSeP8/hpnJNCqzFhpl+1iVh +tIJTszf0KHC7BsZ49EmYBZ/xsqkhBUa1exj6cK5+ZLZ93JgC7O0/F6INSFig +oR2B/wIFzmVJijCfweuZ9lVuukqB1qN8pdnGJMzkxRfE9xpev25kg/pZEhai +zHdB4zoFIjW9TjbgvOX9xrXIgQKXdo74d5qQMBVxWsCt2xRoLOs6cfYcCXP5 +rBEtfocCYwfDbzTjPMbbURbrRgHuL2LUIlMSJlS5r/GcJwWajw9q7T9Pwi5c +vtbH8ZACZ3vc1/1xbspeWX3iQ4GvPaQ43QskbOeMNgvJnwKU7+cfpOJMpAXz +Lwfi7QYq75dxztfcr24fSoHCSl2LcDMSRhm7rif2ggKG4/fe9uMsElR0cfgl +Bdg+2t0UMidhF4+s28dEUmDpnLCnJc7hXfDAJAafj/h6PALnL+7PQ9jjKaD+ +ZiuzCWfG/X3x9YkUOHFToe4Xzlp1IrmPU/B4A7rK4hYkzOPGrffqryjwZtNg +Ux/nYo7SFloGBci2hvuccJ4u3hrMz6KA1UmzkBCcxc3x9cqhgLWjp1E6zv9t +hm0ezKeAw8lG23Kco9MGOIYKKXBk4NyXBpw7dMX3R7+lwOVuBf9OnFlnnY6c +fUeBHE/3Z30467ws12SroEBlmdboN5y9VHbOYFUU2NiT6v8V59JB/cveNbg/ +68vut+I89yTytlotBV7HpBTV4iwpMeK9VEcBl78eqoU4X22RfJFXT4HNg9dY +4nCOd7mTcr2JAljFY1FvnLv3vC8UaaHAA4Ul/8s4c7xnqB1opYB8wnc5Is4n +rxp1RHbgepfeFubB2Zsx9odRNwXMfzReGMf1q8gZXWDppYCRwp7OIpwXjWV2 +6r5RYPdV3zBPnA8v3+d5NEiBV980IjRxto3/cFB1hAIZRfe+beLr2Us20ckd +p0A8CEo64cwdknDOjkKB9NgluQM4n5afsBGewtfXl9etGffHe08Pv4g53J8/ +eT7uxpl+oC7izCIF+OOvfXyL+00OY89gplNA8Rh1wwDnVK4UzGsN18/isYQL +7teBksmeY5sU2Hm/h3cD9zPvxaMT89sUOI6NqvngHJhez2jLQIVZe8Ujj/H9 +4KA2q2vITYWjvgUZJ/D9lOim0q+9iwrYHm/WOCPcX6VPHI7tocKp4OMt0/j+ +k1PcE3ZAkAqdl2VsHhmSsCVprf4FCSrwjBxruKxHwsRuBjlMSFMhIHvXRtBp +EnY+s2urX5YKeiqnAvNPkbB3ojdE0aM4c8YlTuDng4dgmEOUFhXqNiNKeHRI +2JuLA1vBJ6gQz9oVwHUCrydGPMwboYIHwSGbUZuEkXZXlt7Qp8LzmZHBMfx8 +2uYY21I3w+PbF01aqJMw/22lsBEnKpjZmrMqyePxNLxFu12ooMysGt5zBN9v +D5pKG+9R4ZWepbWLLAk7tWrVX+RJhYPHjndES5MwtoUAUb8AKmwcGxpNFiNh +YaN9pZJJVOgerLiRwEfCPgmLnhJKpUK+3Rb/6G68/v8c+wnpVNjs2WE5yEvC +TAf+bK1lU8HOtz79BTcJ4+uWPvWllArc24erJFlwfTGvfpcvVJhnaROFX/j9 +dHkpwbydCpOjd2+orBAx+7Wbl7W6qOCc6yooTidiKnJm4+zfqCD0tbFjbp6I +tcco/Mwcp0LjwTCHE1R8/K2JP0PrVFifSTox2EPEbjJaoegWFZRUrexdu/D+ +KV0BOX+oIDfvsM2K33eJPR/ZPJgmwb/YzEW0hYgd04rfzbtrEpjjv9wl4Pfn +TR5jKT3pSXBDb6z8yCVibbn10/KykyA88o128A3eX1cjn09+EtK0JK/8l4nH +fyB9lKw8CY8EBx+jqUQsgfyP9Fh7Et7cLfxpGIWPL68wfmc+Caf/nMs4/wgf +f1nU/WDgJPz1t76grkfEXFQGtXuDJgHbpT337yQRy+OKZHv2bBKmbpwv+6xD +xEQ/MibTwybhXU7yV10NIsYlMoU1JkxCznTRJWZ5IkYZLdx1u3gSXom4kNN4 +iVisnWZB1RAeT67WUBt/73Rrrrg7f58E8Ribgjtf1TEuvsIT4mOTkDqta5zc +qY75N4h8fU6dhGMXrptMfVbH7kgybF5dmgSPLBd73Sp1TH+qWY+ZZQrmRsz9 +9serYxuOFhOmSlPwWR7JRMzUMbkRHkVQmQLnJ1N7n5ioY1eNWx4eVZ8CR8NP +3GWG6liDotZunuNT4LWrLJoH1LGwFTFo05+C6EoRsafy6pj4k/nU0zZT8CnM +y8CJWR0zigi00nw5Bdf9ZqTkS9Sw1MrSbol5fLxVbvPwuiqWdbNIgrw4BZis +8eCRZVWsYG+eZxp9CjjF0Iee86pYjWu6sND6FFByXT3+jatiA4rhDjyM02Da ++e/x2BdVbHeO878NgWn4E597vC1JFQuOP6zUqTsNfvllj29qqGJ3vVLDvZKn +QXJ7doHbSQXL00+3stKfgbl1V/bQN8pYvfmXzGGGWSC2RnidYFbE2Ab8P/14 +OwulX7fl772TxeTir1n5O/8ELr7jpFT8vf+4vbPxjfAchPOWkEv0RDG1XeZa +l77MwYkGW3hhsg/rCP+rnP90HhpmGWcUZDmwqCDNzScqC/CkS0Eph7CM2nJe +anVTX4CWnjuzlS/p6NFwj2RHjQVg4LO2EOClox0JJdoWOguQs8B9P056CWUr +lA6QN1qAikDeTEHtOdT76x6uEbsF2BpMavcLpaDXReeESVELkNdnm9Es+glV +zmJfVIhdgK6fe8uP/6hE/8lI10kkLMCHK6oGFJ1iNPWYre2utAXQFJKSC0ky +RgdOD2RP5S1AcscZRQtz/DvfuUExFluAQdQv+xdfP6hVJ8MybQFeVr7pLPw1 +AxpJk8jwygIwdxt+ncZmQdv7qG792gKY3HTjvxr2E/S0G05H/V6AZqum9RXx +ebDEfp45xr4IgSe7Y+qRJfD6omHhKroIK/mswUqKK/BhaMBx+ewiqHo9Vuna +3IC6GvHbw6aL8HpAzJfBbBMakm8715stwpnzqyPNBZvQdvXvnSirRRAvfFu9 +68oWfCdLux+7uQhrlN68p1Xb8GfWw8f18SK47PD4frHaAdjii17OX4RHwe0D +flKMiJBQenJu0SJkBRbciTdgROhE+SzrkkVQTwrP9L7NiGR6nKporVgE91rF +54UljAgb3X3gNboI5JHVpiISE9I5/e2AWf8iLF/B9PbrMCM5rHaSHEP4/Crm +B/5ZMyO+UovydSOLkGp8RfadDzOifJ31hBx5EeQINamPapmR2FH1a0zziyCf +H5uZRGJBrnyLzypjWIJPTPcDWaRYEbVViSJH5iVQ6h++mY2wIgS+kgpRtiUo ++UvS5bVmRepMWz7/j3sJ3p+pzNKLY0Uk2jdmrgssAeM8H4sqMxvys95KYa/C +ErhuZw8x9LMhXiUHKt0vLUHV+by6dVMOxNAhF25eXgLkzcvaAgcOREhMrc3C +egkeFhIJon4cSHW4ybj6jSV4ZHLkmm4xB7J9x59z8+4SPBN4K+DPxok8UZi2 +fhKyBBUSNs0NRZzI2Um3WZfnSzB6R7D2JsaJHEz952YdtgR1S6Iin/s4kTru +/aE60UswEzg9h21xIv/mjMsYXi2BpedmQJYuFxKY/44tuHIJBGjffbm/cCFm +djpRntVL8GConRAxyIVI7m8XvvVxCUgk5ls901xIU+ikskH9Emy93LoaxsKN +sDoKXuHsXAKmr+KvZ7W5kQGx7Kmt7iUwmTZo/8+IG8kZVL4/17sEDRsy4aGX +uBF9A6Pg9qElKHJraBN15UZCD/uUvJxcgl4ZwQLF19yI1Rinlu/MErwQeCbx +oogbORIf33R3bgnomc77ct5zI22spcOm9CXI08iw4+/kRrinKMx8f5bg5udC +h95f3MiP1HvhTP+WIPXp7WDhv9xIkcUfoVVGGmCG9vwS7ATkbNO+o9/YafCp +5sczByECEp5laBW/lwZMD6om+0gERDVJcM5CgAYqtsWakToEZCh8+vHe/TSw +Sr4Tz6dHQCS8g9IjRWnAdrTU1ekCAWm5Z37M9BANzE7yrZ+4REBc7CUaeaRo +EFOw83LoKgGpOo9N/+8IDV9vRXZbBwJyRT/i4RkFGmSd8qefdSEgDNo2XBxK +NOCfeLjz7z4BMZL5oxisRoMmp8C46kcEhCbSjp4i0WChe0iuzoeAxPIlX2DS +osGDOtvN5wEEZHyH5OkHNFhiyDX3CCUgQats7Dq6NLh/b34x+gUBkfvZn/jn +NA3+Kd8d9gonIN1j2XIfDWgQ8U32oGQUAfH45l77yIgGnO42WGwMAdnfpntO +w4QGCb9S2jriCEgduoe8bkqDxWvVp9oTCMiNSrJrpRkN9kn2q0YmERCOwhJm +j4s0yLGxyRJOISDFGb5xKlY0WFbhTrmTSkDM4k1kli/TYIpjTDIkjYBsvBCp +KbGmgQZZysD+FQFJDZg3umtLA4OkR7u40wnISa8PPxRu0KBBt+GpF87TLs/v +ztvToOTmsXcFOL+4bsVQ4EiDJyb6r7NxVraSiXZ0pkGcdaeNPc79JuuSMndp +EHuR/GsBn9/71OfKqfs0mHg9ffc4zmKasQbZ7jT4nRM3dB7Pp+nojeHrD2hw +Zc/yCUU8XycpFedDj2iQKmZc2JNMQHYdYNwZf0yDZyunFY/j9Zbz9oS/8qXB ++6GuHhdcDyvWdHHrABr8SJPNssf12tm+UyYcRINvgxPvpHE9M+nap0dCaPBB +fYSrOJKAGExzDyQ+p4Fhx8na3y8JyML3EYdLYTQ465D0bQ++XlFf87f2ReD1 +9Zddpz0jIMSWhy++RdEgUOOdZ2wQAQkoEyi5kECDkdEAR3XcD4fzppDdyTQY +bVV1PIb7pSOtorcrFdc75X8Kax4EROC52bpxJp5Pubv+N2cC8tH3UCjXGxr8 +SXtSR7tFQGw96Ptbc2kg9Z8Q0mdHQAquhZ/QL8a5IjJvxZKAmF607mYpxf25 +HlRxFPf7LyMFu8YyGlAWj/OrGhMQHWJbEFJNAyP9NpE4fL/0Etg6tBppcCpZ +MgSTwP1gwxg+/xn3y8HJLAdhAhJa+sc09QsNnGR+jg7vJSAnLFb7djpp0Kp+ +ZluMhYDkpZC/Y0M0yJ9mUFKncCOBi9/TXL/T4O/IuWekYW7EGgavSYzhfms9 +U8jaw43wUTupT6k0uBAiUcH6iRvxkfs4r79EA12xDpeEWPw8eVJVvEGngWRB +buP2c25EpevdvbxVGhRo+hTI+XEjs655q5xbNBDsjoqkO3Ij+T/afKYZ6VAk +UlokqMWN8EtVB+cT6LB/zrVqvpcLYeqsnGbcRYdlxkMM0p+5EJpnucFlXjrs +G/XKUnjPhbS1vOXk5qND/DLqmZvMhfg5v3npIkiH4vRjfeeucSFzZdFxShJ0 ++MLc9itgnBMZvBK5/kySDs5JbPdKuziRJpbwS2QpOoj5ejqUfOJE0i2f74+S +ocPZsFVHsRROxGLbL21FgQ5HHvWMtptzIujJO28qSXSQ7iMaParlQGRJzgby +mnQ4E72tsjeXA4lWcPqZoUUHxawZuYdRHMhNQXvFsBN0mHQslsm250A4Fq9W +Xj9FB2rot4j/cXMg5xPPfuY1pUPhrwvNTSbsCGVJfsrpFh3ypHL5C4pZEePJ +I8/GHegw/0uqSSSaFakYljly0YkODqcUYq8/YEVCmiTvIC50yHdJRh11WBH5 +ZOE1ATc6HHRr/p9DBwviocfN2uSD66vQpepOZkZYU+ekROPo0DiZr8U2z4hY +lT5v846nQ0in6L3cDkakqEn2/mACHfQOFJXLvWVEzBZvfYxMpoPlNmfm0H1G +JEOHeoE5gw5GR6uyRn4xINoT331nC+hwPqOD6k37B+6HO4fKMDpIKgcsJgz8 +honSkjCDBTqYuXU/TDi+Cmz2T+s6Funw0DAoS3JxBeT2X6JfoNFhdveyQsar +FfAI+Gt+dYUO73mVzt1jXAEOMxNh1006oFjTQGgzHZRX5/KTWZbhvyueRRHp +C+CrfrhlUWQZZG+3fijAv/uzfm5tuokuw4XoSBu6KgW+pHXKbYotA+VPXtCd +xAngY/MMZ5JcBo9nMXoHrpPhzUDjRcEjy8BecFxAavk7dHjZTSLqy2DxVqbV +yqkXluXVBZqJy8DAdX3n3fGvIEDmMDTWwNvXGGJHd/WArWFp4cXjyyCql/Hz +xb12WBX653b7JJ5fAiVX5kgDCHX2ZtN0l6GokVRKrkZBOyBnwOP0MhgyvciP +kPwIIT9NtPwMlkG7drdkOWsZFKYdcmE5swyJ078+1G4XQM+FtbTnRstQZTlg +dGT1NayxtnbvOrsM/OPmvc0/o+DAh1TGWJNlQOWO3Ztyeqfzf4Jzde8= + "]]}, + Annotation[#, "Charting`Private`Tag$121608#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Part[{{Identity, Identity}, {Identity, Identity}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Identity, Identity}, {Identity, Identity}}, 2, 2][#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Part[{{Identity, Identity}, {Identity, Identity}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Identity, Identity}, {Identity, Identity}}, 2, 2][#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 1.08144}, {-23.331373049574456`, 3.577962288207878}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.714237249652542*^9, 3.714237753773918*^9, 3.714239105669983*^9, { + 3.714239676361083*^9, 3.7142396931215553`*^9}, 3.714239898385358*^9, { + 3.7142443243230257`*^9, 3.714244347297243*^9}, 3.7142444399106407`*^9, { + 3.714244517506166*^9, 3.714244520498968*^9}, {3.714244637156879*^9, + 3.714244645686345*^9}, 3.714244811167714*^9, {3.714249616527873*^9, + 3.714249621877314*^9}, 3.714251345441925*^9, {3.7142515391716413`*^9, + 3.714251577704163*^9}, + 3.7142524992488194`*^9},ExpressionUUID->"05aee478-87cb-4cc2-bc37-\ +c370810aa422"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "NY"}], "]"}]}], "]"}], "[", "\[Theta]", "]"}], "/.", + "sol5"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "-", ".1"}], "/.", "sol5"}], ",", + RowBox[{ + RowBox[{"\[Theta]c", "+", ".1"}], "/.", "sol5"}]}], "}"}], ",", + RowBox[{"GridLines", "\[Rule]", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Theta]c"}], "/.", "sol5"}], ",", + RowBox[{"{", + RowBox[{"Red", ",", "Thick"}], "}"}]}], "}"}]}], "}"}], ",", + "None"}], "}"}]}]}], "]"}]], "Input", + CellChangeTimes->{{3.7137866834085007`*^9, 3.713786686617977*^9}, { + 3.7137867217375593`*^9, 3.713786743847704*^9}, {3.7137868182565737`*^9, + 3.713786841939253*^9}, {3.713786924527413*^9, 3.713786974385107*^9}, { + 3.713787042137055*^9, 3.713787053211768*^9}, {3.7137870901431293`*^9, + 3.713787090608033*^9}, {3.713787341082642*^9, 3.713787364514805*^9}, { + 3.713787741825034*^9, 3.713787770799416*^9}, {3.713787886687026*^9, + 3.7137878869430323`*^9}, {3.7137888266494427`*^9, 3.713788842463161*^9}, { + 3.713792007167099*^9, 3.713792021787199*^9}, 3.7137922767568893`*^9, { + 3.7137944309219913`*^9, 3.713794435906933*^9}, {3.713796878199485*^9, + 3.713796887244006*^9}, {3.713796921081345*^9, 3.713796926722969*^9}, + 3.7137971807617273`*^9, {3.713827438749836*^9, 3.7138274538037987`*^9}, { + 3.713827581712484*^9, 3.713827582113104*^9}, {3.714130909227974*^9, + 3.714130935160301*^9}, {3.7141311982159986`*^9, 3.714131202051044*^9}, { + 3.7141312471974087`*^9, 3.714131274688491*^9}, {3.714131759254038*^9, + 3.714131761606591*^9}, {3.714132524986391*^9, 3.7141325265937033`*^9}, { + 3.7141337230994473`*^9, 3.714133746090554*^9}, {3.7141354101671886`*^9, + 3.714135444491536*^9}, {3.7141356514052277`*^9, 3.7141357777377653`*^9}, { + 3.714136651714642*^9, 3.714136680207863*^9}, {3.714137789157419*^9, + 3.714137796981852*^9}, 3.7141379430983753`*^9, {3.714138196842355*^9, + 3.714138197292419*^9}, {3.714222654297492*^9, 3.7142226816813173`*^9}, { + 3.7142241379694967`*^9, 3.714224153092409*^9}, {3.714230783232278*^9, + 3.714230783558969*^9}, {3.714230818213155*^9, 3.714230826884192*^9}, { + 3.7142341440952263`*^9, 3.714234196383806*^9}, {3.714234229569173*^9, + 3.714234230040387*^9}, {3.714235501458014*^9, 3.71423551337781*^9}, { + 3.714236994527731*^9, 3.714236994990761*^9}, {3.714237025199979*^9, + 3.714237025585266*^9}, {3.714237144557452*^9, 3.7142371513264093`*^9}, { + 3.714237693385809*^9, 3.7142377327690287`*^9}, {3.7142513747279797`*^9, + 3.714251404809825*^9}, {3.714251564084955*^9, + 3.714251564304915*^9}},ExpressionUUID->"d0279beb-3b48-4eba-8c2e-\ +59ae3a41c953"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[{{-1.1814399517779592`, -2.4171161378818846`}, \ +{-1.1807152623598682`, -2.6187404129655985`}, {-1.179990572941777, \ +-2.8152752063980078`}, {-1.1791852905628963`, -3.0249610600870227`}}], + LineBox[CompressedData[" +1:eJw1mmk4ld/Xx03Rz1wqFI0aNKpExhUpUZEiU4MhUqQ0USkqYxIZS2SoZMg8 +llgSEhJlnh3Tuc/k3Mak9Nz/F88brs+1nb3X/q7vWnvvc1ljd/m4Ax8PD08/ +9eN/v+fcC17yrBlHm99VNSt3Lyw3nHXWMZMbx+9r5fgtIgXLbyeKCdyUGMdk +V4sBPj2+cj+RQmVt0XF0ZYd0Eeq85WE3zjgI/jeO109JbLunylOeapBVHcU3 +jmefexyy8/+D7eSxwKIpEh+nMzsrHKdwyHr2vdc4iS933TA6Uj2B3KpEhv4Y +iRWH4xm2KuO4MGb8cDudROlkI+vdTzm4ROCFZ8IwiWaT7VPHWpi42nV/hhON +ROWGmytBnUBV3Qjx2S4SDVq+NUueG0Ldd5rwqZ3E26GKP45upKHRsuHLgS0k +LjRbtlF2YT86MvY0yX4ncXkPo8JDox2vmvby0upIFM3iPbwjoRnvlfntSqsh +UYWpVr1JpQmjwtrC1StI/KhyvaOxtQqT/nhV8iGJIk7/DUmKlGOm46ap2hIS +a+3DL1QsL8Bq9VsnrQtIDPpv1rLpykX88XqN/7pcEte1KgV8XpwIveK1RcxM +Eltjp8J2uOTAFG25rGcKieddpZ/dHSsHnqOfDfTekPjUvsL8TWkliBY53xZN +InH3zNylFdY1oBD0sSv2BYlLdmXbh4t9B6Wpc6IOz0ikSed7XJdqAs2zYlrb +IklMCrP6b/XjH2C6+8zL0ickjl9SC5rRawGbOMHvvkEkZrL0TEr9WsFFKOvf +0QASSdVV7R+K2sCn659N730SL+xYOCXG6IDQAylPk++R2KRxvu8VqxNis45V +uN4h8b9vnj0T/V2Q9zBx3b/r1Pq3ixOIhB4oYxuYfnEjkW+cXyLsUi/Umo/7 +hLiSyDu1ZuD3tj5o/RRTYO5MYixb80YUrQ9oW/aPrHIice9tjwn6gX7gRDKX +0c+RmOW+M184sh9+/wvXz7Yl0WrTNgNabz8sbh5K2WdNYvailXcu2w9Ab5i6 +G1iQWH3Fyeh9zACkmoSqaZtR+WRfkudpGIDrkiO8WsdJzGX2fz/3dwD2fdeo +1TAmkb8vf0JIkQaiT56GqR8h8ZTjyjWCJjRoOzJqpWZAotrSKHPPGzRIEtFa +t/cgiT9kb1wLjKKBa20YU2U/iXbEz4v6+TRQD6Tn7dlHzbevs6uxgQYLDml7 +KmtRzPynACM0aBSM0NutTmK38PGOtN80iK0iRHepktijl12zRXQQnHygRUmZ +0me3Pr19+SDs3h8Zt2MniW8u8d+o2TAI87xMh+3bSfznE8+RUBqE2vJ927dt +oernerpCpcogRHlFTW/ZRMXj+lFzVn0QbLVZZZvXk5g/Hf2+QnMQtv7V8Vdc +S2Key/D93RT/Kok23rSK8nO27chptUGovM2W3ihHotCz+bcnlAchRG1//3pZ +EnuvS/1dv20QrH49S1FYRqI2cT96eN0gbCjiXFknRfGdI6lJMoMwfkNPba0k +iSH1xwkXkUEoVY7hXSNG4lKPU89O/KFBwMTY11XCJPLcWenrwKSBae6BsJVC +JAo7REnmtNNgtdsLK3kBEl24Mzv1KmnA2kGuleMlUfDEzdtbM2nwMCM2T3aO +i49K9/Yo3aWBkcv4HZlfXBxi5Gs42tFg+ZZDetJTXPwot+XYuoM0yE2ZaF4y +xsVNIfx29v/R4N55gzgpFhcVT+yY+UMfAIMN8Q6LCS76OJm7H/4yAP2vDKcl +BrkYUiO3Zqf3ALyzSygT7+fiHoOqx91WA+C+ZtpPrIeLR6+LuzgoD4B4fKK0 +SBsXS6biFfcM9YNmzK+9gnXUuMOmlGrVflhoacS7oIaLh4/OBlsK98NP6ddf ++au4qLuPeXRlcR9cjDS24kVqPfNIAb7fvfAsNPnOn1wuaonbPYh07oFJP9Oy +8Rgutrfyr3uwqBOkva/G8Tzj4lmhW5FJrzpA/Vaop3gkF5suHUjoVe4AL+d6 +9c0hXBTVjVNvNG0H4WN6RbYPqfnyRjbEBrXCalnl7EZnLhpc+aEC3T/gaLpU +UqYmFyt4y3KPu1fDldc7739U42K3UkHmJ+8qCIsztqlV4aKKrvabdY8qoT0k +aOWIEhdbq3z3DcdWgP11/hfy67n49qWCf6pfKdzSmgh/LMZFx7zrFiXO7+Bw +/BuRlo9jeNvngpG2axa+jO2ZuFI4hocX+s5Z5+Yg9/nSbtHsMSTbN3XWpOdh +RITvO71XYxgT6PtQ6HkRdgc6HM0PHENa/ZO7v60RXa+vDwk/OYbvBYXHW7S+ +YJjBm8XHuRy0ERkh40p+4NDBnt9sgoNjcxmb6Rt/oore0sHAQQ6+0khN8A3/ +iV3avnmfWjmoV0x3LnRqRgVlB9OdpRys//Y9tVW4FQtXro+SfMTBy3PSxk7b +OrBj4rXs93UcHJh9ZLaG3otpMao72+U5ePplzfcR1T701Kk9NCDNwWCfUK2F +/n24OmTMfUKEg63WKqeyFlHny2b1VulJNsoLxWRuTevHcZvvYTaVbDRdP65e +VTeAlUJ2aRfK2Jipp1XnzxnAyMzJT1eL2SjOx5vyS5KGe//Ikj7v2Bi6/VjY +sCkNvaLPGadGsPHw31JfTjsNRRtmRcbPsXHdz02TP5sGqTp9vG7uDBv9ul99 +9xsbxKwVqzQELNm4tEe3iBAdwuMX9C4uO8pGxypb3fKDQ/hMIKRGfQ8b+dP/ +JuUXDuF6DQXfhwvYGM22sOv3H8bpgcLYx/9Y+D35TPrbhGGsCTDIj5xlYeWF +juo174fRpdV18C2bhdZlDbo7iGHMdXuvU9/CwqkfrksKDoygdorR/JJkFsoq +VtjGckdQzqoHXsazMJApW2IqOIq/RVzub3zOwsON7k8LV4xi0eVAAfXHLFyx +UYDpfmAUlVQrhc9eZSFrZII1GzGK4sTxI3RnFuqFHagSTBlFVsxAsJsDC2uU +/0Xih1FMnZ+X9LFgoes56QsqfaO4tlpNOlWbhXA5maWjQEcejxqLXXtZmDC6 +50WRMh17Fc1jSnaycK/lnb4uPTq+CL4u36DAQmLVeu+d5+i4xCxr3YQwCyO1 +Vz1bHk/HcUFtB08BFlo9en5ePIOOjcX1yQvmmXj/noZP3gc6BssxFGVIJtbm +cQWlWugoOKSgpNXGxEsHA8aUBAkcisxzq25k4rUr7oPFiwis0NfNM65l4qZf +9mOTcgR6pZ9VsStl4vFSqfePdhF45jTHnVnIROPM/VuHNQnUlLj7/no2E7XW +HFg7dZDAX1djNP1fMdHpgS+/qhWBrQqK9yTjmMj/8fGbC/YE5rcW4fMoJt5V +JFVPuBDopt6i+y6QicE7hmOP3CWQwStp0HSZiT5+p91pLwisyXv5yOoCE1X6 +VdNbkwhMdthWP2jHxD2X9bN9Ugm0/2poPG3GxASYi5coJFD3TkeolzETdY6X +7GeXELh6m9OPhQbUfCZDm/0+Edgd6mu2QpOJOZsXqTDrCPyguyT69R4mVXfX +pIobCXw+mdS+bQcTNYamk3VaCPRI3rm8aBMTY4xNjgZ0EHjSotx631omjlep +2D/uIVBZ2Dju6womtstZHjAaIHDxx57e40uZKDLvcKxhiMDvq+ZsHRYyqfpr +OyHMJPDUweVNonxMBM3Jpg9sAukuavvy5xhYavpUaxuXwBvhFlnWUwzUiFTl +2I4TyPfBfSX/GANPnbTXsJwk8El/VHAanYFCPA89paYJXCFU+MeExsDY4qmF +T2cITNnW4jzbxcA/MsJ7f/yi4jOd7ExoYWD4yB+btlkCP92WMjz0nYE+zTOd +Cb8JNErc9X6shoGzhyT/bp8jsPOLyaboCgYGbTq48gHF5zlXorU/MvBF2oPI +GIonl4QKjhQw8PbW6PceFHtrZN0IzmJg0hLNATmKxewahpRTGdiaLWHvT80f +E8A+0Z3EwOnlkZHF1Pobs0Q/P4xloLHS7u/ZVHz5LVt2bYliYPvt3Y5XqPj3 +/TFM/BHCwMtbPmXPTBH4be1FyduBDHSTpgvoU/u3Mgj0WvOQgdz34cVnKH1G +LqdwajwZWKL+ZA1Q+l2L+nL6yk0GBt/wiqRT+vKUjtRLX2FgxyLWBWtK/+DB +BZp4gYFnnypPRtMJXC68Pt3RnoFfnSMCXw4TuNvcPrDgJKXX06+KIn0Elt99 +8OvUMQaqlZj2unUReOR14nkBQ2q/R23JV20EOpJ9B05oMVBHKM3H+TuBE9L/ +8n+rMDCx1ySDl/KXt/ZKhSQlBk5wj/meq6b8FXSKj1zHwB+aBmFPPxK4IfeO +2zN5Sq8th11PFRGY2x7TD9IMtDyRrz+VQ2D9+o6yJ8LU/vnrtMOSCbQ88mub +igADD18T4otOoPZ/VTqu5y+BXS+/iDnHEPgPze5sJQnUF2rSfxBM4C6rH6q1 +VJxdY/VqN90IRG8y2a2JQEnNAyrzF6j9vJVcJkvFORw4J2RhR6DDpNHk+TIC ++7cGXXpwnMBnT+qyF7yh+oL0xIISJQLnKyoVda4SeOxteSvPMB2Fw7VrzKg6 +/pY7esGzi47L7IsdLzoS2Gv+XKa5iY7b+d+9Cqf6gLfzgwqZMjqe3R8uP6JL +zSd/WWo+go7ln20XBUkRKNV81MFVk4714V1Z8WIEZonkRdco0bHd3swoX4jA +z1JPi/jW05HLbxDUM0dHZx+fDGkxOq7WU1qgNERHna9jo7Vdo3i/cv5Xcz4d +Qy4eeRl4bRSfRHhEE5l01Ouhy887jGLMufE98yl0nNh6cMtJi1HMFRi5ujGO +jpqnTBtzNEeRpveNdcuXjoFunWflBUZRt+pF/8qTdLyx/GDtVPAIClTvrXGa +GUV5Z6HCtSHDKJ+YGfqXO4orngYmL7w7jCqeCpZhDOpz73p/NV8cxvO7JBkl +PaOYRDtQvubgMNa+HBWRqBzF2aHRwrC5IQx1jzIuCB1F26hp9YV2QyinONnK +u3kUNa5mXaWtHMQ9j7OGY06N4I3t37ZcPtePWrmNHTI9Q6g0Qft1Oa8FB/kl +dq11GERbI6fjOZOVWCBz7D+VbwO4gCH+pKEuEs4EaxRFHuvHT0cyskpNv4DD +oxM1/873oJlkfIJuRQsYmlxkMLQ6cXNVAK3JvRd62lreXzJsw/+8PPLTy2kg +GSsim6DVhh7ivK311PtBz0bH44dSG+7aev/CUDcN3tHfqahKt6HJNmXO9C8a +3J59mMcz1IrOizPfpFLvAZkVuzLC77Zi1RPNp/ovB+H4mScJ77NbcOFDb7Hr +V4fgy9BB/wXSzfjXXfyM6L9h+D2388BikWb8XPelZZHwCGyVkudf9e8nSheX +3JRYOgKhOhP39o7+RPvYzZoTm0fA6mX8TeeinzgRtVr09MkR4Jj/cmgy/4k8 +uo9vlaSPwJK6VL24Zz9wj4uTTc6xUbDJEeXbs7wJ7/D7LuU+pMO73jEpXbEm +zCrj1/gRTIdfIj/XG/M04aCJcXl6NB1CHJ8bXBhpxM6p5ZN66XQoW7HhaVxu +I76VmdCT/EEHOT9YLXi4EQe+kemiKwnILhjyzJxpQLk3MpYZWQQckkxPqOlp +wLs/UhS8iwnou+hWSfvcgFbfXGINPxEgvnpeRDq0AS/K1z6v/kGAyyPpF16b +GrDh7WpR6ykCNp01fH/M8htuXp5RP7OXAfELs6fGP9Qhnsu0kPzAAO6e4u++ +iXWYZu1UVvyJAbr25akyAXX43iPc1vIrA4ZKG09rm9XhSys1p4ftDNh8jawK +HKtF4dNGmbenGZDfsytqtUItDsQ9bp5RYkJtboGKUXANZjw7QVdLYIJcf6nk +wLUaPF84/IGdzIRLYtWMa1Y12JoYKRSTwQRJp9aXzzfWYEPY5WXdH5hgJj8j +OPzpC5q9CdIQbGFCv//etjvT1fiR10VxUogF06dK3FPPVmEg/aa9rhMLDiht +lyD1q5BXIP7nm0ssiOBPTN6rVIXt6RtG+K6xYGeaX8sXnirs235mJvUuC1xm +THaPJFZS90YbdnoYCwaf0jlrhz5j4fdH6t4lLGisXuoY61SBrXZGr68uZMOq +mIC/g8cq8NTvzwWiYmxwvTQXsUWtAs0EFUISFrFBZMnA5w//VeDVWxNxBcvZ +cND23ZqOtE8YKJ1pELmVDaVzuj1L2eXorVTyeYsxG0xt+1NWDpbh62WMgx9D +2GBuk7wxK6sMyRip5MFwNliddUkGzzIUWiHXxf+MDTanf72yWVqG3w2t6rYn +sMHFUjI+Sb8Un6Po0PZsNvia7Ivc8K4EVfkqmO0NbAg4JrikyKMEv5yN3fbk +BxseG9eH6R8owQ6bzJOarWwIO2oR6tT7AT88DrR72MOGlwZXgtIkP+BY48q7 +H5lsKNRJuL/9RjFWbzke3SXIgff7HHlQpxjrM69UrBLmwEfY6mUsXoyTrmuG +TolxoEKr2PPK2yJ8zFcnXiHFgQa1RvfcjkJ8HvFVdu9qDozs5HFV0S5ANz7L +yp+qHJBea2OlLZSLgb8kJhtsObDk0tyJvW05eOLOshUi5ziwuDjq6K63ObhM +22KPjiMHxI2+7dugn4Msk7QDLy5yQPC2+kZx/2x0OsAzJHiNA6xXivQSsUxM +vWjv9/EBB+hqNl1ZGRloE3lT/pkPB4a+RzW8OpqBH5KeZF3y40D3HH9BUPA7 +bGt4XC34iAN1J3rvW4ulY8Z/7+q4oRxI4w9fMSeaglMWwsGv4ziQ/Pyr+Ni7 +t5gv1LlgdTwHknbw8A0eeYsChgLekQkciLG+RK99nIw8V+puub7iQGCefkGM +6Bsc5A143J7CAR+DeylP3r1GOYUYWYU0Dnj35b94cOQ1Sui/TbuQzgEPkbUP +Lj5+hbJeox20DA442f8xUhdNwgKxtTeCczlwbnaX7vZ3iTgbuXdzah4HbEIu +7Fl7JBGlKp8Ml+VzwKKkdYXw4wRMUOW90l7IgZANdk150i9x6kl/5+cPHPA7 +/r3ohXkcsqz6a7JKOHDvnubLh9GxqPZ3IUZ+5IBr6zLnE9IvUOBgZqVxGQeM +/OoEJpY9Q0YJU93zEweWHtKPS7CKRkOJC/XKFZR+/33eY/QyCqvjZpJGKb4Q +/MExdX0kBqcyVmlWckDJWOXfyQsRyP0bW91D8bRkbrRARjj+1PiTe6uK0iMi +teaschhaFBidTqjmwOGT623FPJ7iZ0PfFVu+UPmXSZz9UBKKZ+6OrcqmWFt1 +p9lWvyeYINA2l1LDgfoPm/z8xYJxzd7gn3JfOWCpvbqIFhGE09V08hHF1w9I +yD5/FYB8RhN8J2s5wPdV0HBysz9ee9c4lUtxyJH528a5vvh1V/YO4ToOyDVO +paep+WBlw5tsa4rTTrC7F3x6gD6rKj3eUry3bUjM9tB9VLohF8Cm+FFB8V2P +eC/UbSrr3VZP+ePj277tmZ54deS9pxPFnz5H6Qx/vIVsmRV2cRR31/q+elF3 +E2XucZ7UUzzTdH3B8c5r2NKtzT9N8eIO+/MLiStolLEUZb9xwLr8TdjdMWc8 +IHunQpXisIaHJxmijlg7d0PsGMU13bbLzTfboNeASIIdxX9avD76h5jinYU6 +ty9T3DjkHlARoYMmNjKxNyk+FQgJiq0bQe5R+AIPiu+lRlu0eR2F4+25hdco +Pl4corDY1wrUjW9kXaB44tsFI7n19iD/un3MkuKPGPQoS+gCHNDucNej2C8n +o1qX4QrSKlf1FSlOaTrP6+x4Fb6bxZ1ZSHFwrUd8vvkNoMmcKB2g9nf1c6DW +/CEPWPjukX0BxSc/xnTpq9+BEraayUOKNQrSbz3dcg/6L5n5HaZY0rw36NIT +b3C51MgnTvGDnyNWi4UeQHNvbHUtpf+U8ZhikddDWOaY3nSf4s5DPDU8bn4w +88GwtJfK75GqhdFvCH84d7Awzodi1FnkaGgXCEvtZasUKH6tvlYg4sRjaD9/ +iX6C8suyos0/99YHQ1DU9iEa5a/A3buTevRCwHjQf4MLxarL1iZIrXgKUfMR +9y5Rfrximizk2PYU8mLEI4Yp/6aFbb5cHB4GjLH0MXOK5SR2a58WjQDrXw0e +Wyi/8y7U607+GwXGdzoagql6eT10UGDyazR0a5jZ1VD1deiTwVadqGcQ6rJf +9U85B0JvG3t2bY+BDP/nr42RAyvZVnKSNnHgGV/k94aq34qvp/VOb30JS6PO +rEqj6tsh2cYl7ddLSLoTPPP2PQdad+w+k3QoARz2ODuEFHFAntibqTmQCDpy +sjvEqP7haq6ua6+fBKcF/5V05XCgvEqjNTAjCdzSxPxeZVP9Jkl7vvXWK7he +d7xxZSYH0q31jNwWv4FlYS27K6l+ptZgzHmzPwXmI+4Pfo2l6kHT5EF9agpo +X7svvfUF5fe048smJFIhZzDogf9zqt/5m2nv606Fo8G/5hSjKP/us37SeT0d +fMWPX5YPofyQ57hdIjkTslhzjFIvyk9rnCr2iGZByQe7k3l3OTAbcuHkqatZ +0Jfcw028Q/UnFRU0XZUNZRpN2RfdOTC+WG00kZkNh8JCj6S5UvHVa6tq+uSC +cpC5y4A1BxxVLwqO5OXCowTbsXBLDkQkRbaEDOZCs5Xp7X3mHOB6sK4N6uZB +nED5G//j1PrrY7If8ebDhOC0bsMhDsh4TSl23CuABWPmSzSVOXCQsXr2QWYB +7PMZbnyyk+o3ZkdqtvYWwIqQkaCu7VT9bXnl6K1VCAts837bKXIgoP3Yq41/ +CiEqWC1VcSUHfu18J3fzVjHsyNfLi6TO1w1xbcxVqcWwzG2PUAA/B0wX8pd8 +bS+G7EV5Rtd5OJDda2kpv/c9nL/nVKD+mw1OQUJRldPv4eTP8fp7bDa0D9lJ +SF0vAVeRK7cGqfO+OFqWL9u1DBLS7NfKPmeDd9q5+xZJZbA1yF9zOoINBqVZ +PLytZfDnM1uuPpQNnbQD/0y0EALetm2xC2DD/DK1+dkF5VDwWsRW1Z0Nq+0c +5l40l8Psy6eyvifY4PCrdKrPrQIWvL7W/VqQDbX37ffkB1VAb8Pik8942bBd +5L8bAW8qIONIuYvPH+q+Jm86qdRRAfEXopwPjrMgYD9j/P6+z6AZxfZz62FB +2pNl3HUSlbA7zYdpl8sCjsJlxvl3VTC3X6Hk7UkWPOv6ce1zVRWs11kw8+UY +C/aHqfxd2VcFb/rqh/oNqfF/fyVaF1WD1Zvi73+0WaDT+XiPnns1mJSpFHZv +oO6DIWneq3W/QMngaUuNKSZo/B5e1tFWAzUmScpOj5kQ8P3UfkP+emhdsU1P +7jUD9vSbSZDL6+G5xfl1A7EMoHGNuqJ31QNh47A/PpIBmot1rg3b1sPlrFUg +5E/dn03Xv/Iurwf1tVdmfC8wwLyTzVd09xvI1bVOa25jwIbhexXrfjVASpuf +iS91n7e725hwb7oRxN0NtsrH0yF+rDnXhL8JIsSuOdhF0qHbtqNSQbIJTGS8 +N8cH0eHkQRq9VrEJUmpKjP650+GwxKSS9OkmcMxp+Gh5jA7KidKfsj43gexY +2NIb/0ZBsOrMQH/oDwi/JF+rbD4KaaLsNfu3NIO3VEycMWsY6Fs0WzRUm4H4 +T4yzY2AYNh4OClDe3wz/eM0sF7YOw+tAxbH11s1gpRLskYjDECfo+HFhUDMY +dNCSrocNQyhP38kGRjNkbHo+EasyDDcnG4Ms01ogPdFjGd1jCPZ3509dVmyD +oXcaQzzDNEgw1eX1k+mE+OCQzbptvZB8sFbcX78HEoTEo8PXtILXx3uqv1b1 +g7N46g35lq/gHRbptPbjABx9WLBd/HYcpC7k+8yjNQjmD4vW3Q2vQOUTJu9P +FA6Bx0Epl+mgZozojFOKNR4BxoGTd61V+nGX/ep1EWYjwGP06WjQ4X5sZCYt +fWw9AnsDz3zJtulH0b9vf985PwKGE8Jrux/1o++q3EprrxHYs//w6ezefrx5 +rtpiRdYIVJUsCtjmM4AWHI53jPgoyDkGbHaoouH0TbdrYUtGgX/lx+T5dhpG +/JtweLR8FPLuGdYGsGjYKDlreHvDKMz/S7d0lRpEg938S620R6FC/cy3WzaD +qO4hnSrrOgpHVv34dXFmEOX59jU9+zYKu2I2DF6VHsZMr+rnks2jsJod/0hj +8zDu+3vELqBzFLba/TZiag6j3S/LCffRUVisVrD9n+0wpnCuLTXnpcOFeQ9N +Mm0YlbveWi7dQ4cETZ8tVaojWG2xfW2wBh1eHQ2SHDg0guat+QwBXTrcPdtM +9lmO4O2mT3cmjeggG1AY5XtnBMu/dMX9dKJD6RmxdqfSETySL0F7GkuHN86u +BSYao9i7Myrtv1d0uPPg1HNPw1G8nCV37X4qHTqTS8X8LEcxLE1RwK2QDgbv +Ch7sdh/F9oT9G4410kHjh30gN3sU7YPdL4oLEPC9LNUjR56Ok8Lzu/yEqbrg +rXdL2kxHvwCfub+SBGwpyj9wSZWOKQ+fPmbLE7AsPfxgyDE6cm6lZ9arEjBT +vXP5H2863nbsG3/kTIBYyI+nuzvpePpyS/CQGwFV5b9mXYbouM+jbpO2BwFX +P8Y3enLoKPio6AzpQ8D+K0VhK/kIDMsIqTV/SUB+UlWP7UYCbxT6OuS8JuBm +keWOg0oEWuAdHpF0ArafGbozv5fAlU3nVcqKCBiLLv5CGBCYNglJCk0EmOf0 +XEy6QGDw3z1a99qod/ginVZ5NwKvCG5tb+shwO98+IeLHgSqyMiIBzEIuO9M +T3H3I1B2jXjqEJcAT782CdVgAv8oCuhpzxAwHRqSWh1OYIUG9xbJz4ASqamt +ZgkEvtEbWXJYmAFu1ly3E8kEBhztznotyYAuV5OE1e8INDpbM2wuz4BNEqWX +NhQRuNOpzDtnHQOOPHjkeOYjgUvc8leIbGZAPE3vj/0nAjsfJFCtkgHp3/5l +tdYSWBoUxZLWYkB03dEN+78TmBDx2N9tPwNKpdYz7vwk0DHZo1ThGAOCc9b9 +Z9JFoEGWq8W9kwzY6KBewuolcGvxuYm2Uwzwz//gdIJG4PjXY4pBVF8cfLbY +zptOYMuPg5VDlxnwuCWC/yCTwOIuzbPaNxmwN7/tcAubwBdDu35HezLAp8dk ++H/fZ99jb4okHzBgtMDstvE4gbbTK5UOBzKAdWRxgdokgXr/ltS9DmFA7aEI +YE0RuHGhiOM81afPDVR/dpwhUHgRL68F1ce92q4zU34RyJadeZGTxIDXVw1s +cmcJbFzLVhFJpfTwb6p78JvAvC2DTeeyGCB337NNdo7AKOUOl7ICBrS6xG11 +p/iW1nchmY8MaJdwuf6/77NPHaxKcqtgQOy/BRYPKQbjEq26GkqPT5e9d1K8 +1iKnXeE7A1YRkVGvqfkX2L69dq+FAZKGRvu7qfXpF+LE27sYcHS15Y52Kr66 +q+GpO2kMcNG3439GxZ95J1AviM6A1Tf4nFZME/jUx6tviMOAD7fKF9hR+78e +fOO29hQD9vkv9nWm9DkZ5bz02RwV352zT1Qp/dTibbNJXia4qfHUVlH6xs7/ +WdErxATt8JyF/9Of58wz/1oxJizevJ4VQuXnXOnuiUIpJpTky257NUxgjdz3 +M69kmdB1Vt/Hi8rnVs+LtSGrmGD20yZNoY/AkK4FKp7rmRC4d4lFGOWHkzGa +YmY7mcB+SG6tpvzyYbbNQ0eVCcEzF6uCKD/JW14b2qbFhOmMVTUydQQOSaeV +CBow4d6iHo4/5cdD7gc2Thgxgc9Sy+cC5dd3rf1hfaZM8L77yHER5edrkdIX +i22YcESqaTI3ncDWydyW145MMOI9tvjdGwLVTY10nrowofLI17MX4wnkk/KV +uejBhJjL61z3hFH+vbra5+Q9Jjxb2p+gE0Tg16aSMV0fJly1Mxld5ENgaOh4 +9YpQJhz7kRP+9zqBk2PBuxZGMSH10LyzzCUCzY0VX06+YMLbsY+a0+eofiBu +c+PbWyasitiVMXuCwIygb+u8kAlSuoPLZHYQKMl0CnGuYkKBqvQ/3fVUvgwF +5szrmGAs8SFj+woCNf/T+KHUxoS7sTH6+oIE1vqleNM4TFDw12u70UHH7SP7 +WQ2TlN57/K3jv9Hx6YE+85LfTFCrZHr6f6KjhcCyHRGCLHj+ucE3LIWOo/cf +9hxYyYLC1mDdx9foaDiw0mCXAgukbDfqvHKgY+a+D/krN7Mg/SAXb5rT8eY/ +btDMHhaMcdcoH1eno8DdM+qpR1mw7/RQ+c8/o7jGQy1a9C4LpGcff6i5Pooe +9e3tHg9ZcM7x7/I/NqPYsNpj+XAgCzyMl9t2HRlFz6+FcaVRLFCRdzofu47q +/8uVX7tms8A7p/Pvqm8jGFq6PadxkAU7Q8RCWBIjOLqoYVyTwYLa5JfKJdPD +qO14STmVy4LYzf/t3tkzjCzxd0X3/1LjlUW7FqcO4yEbxbJd0mw4+eGHRiJ1 +HvLwK9RFGLJBqndRcdnxITQ3/yzKa8IGVSWRxSO7hzAz3c7okjkbzh7YJ5+z +ZAhPmSY2HTjHBk1ec7+dLYNY/GZl+/RdNoRtc0ppNRnEy4dkhy1y2OBVeHxD +iBoNe4PF/8nJcCBa7cHqiYd9WLj3xCI56h7fNv7U+4xyHwYPRq9boUC9o1WL +FisM9aKm2ppDskocYNn+WVOm04sxQ7ufLqXeERvMShR2TnWjuYblOnEP6t01 +5MJU1+rERvor/X9t1LtTbmq7gmkzpoTTLed7OKAuyu4w5/5EL+1tLn8HOZC7 +6mwPGfQTt0cUhs6NccDs2HmxU59+YDB87ZgRGoNBmuLL1eub0DCK48xVHYMP +kk3uD5Pq8PN+tdCB6DGoFJD1lFxcgqxb7OsVcWPw22vz+iH997gsO9Hy1asx +0BgpkBfzLEInOeF1DlljcOLnrOO9vjwUneosoFdTf/9TcShoYyqeTPbsGpsa +g+Tk/PEZpQdwXcBG6p8il7oXrsgxsS6HgFUffMe2csFJ/vTi3SafIE59ya++ +HVxIC700vk2/Aqqv1HSX7+FCVfU1QaPdlSDTo5T8QIcLH1WGSE2RGigt4FUT +tORC1PdlvAY530Hw/KszYgFcMJTg9mzXbYMIz38lWkFckD3l/6ittA3WhlnL +uj7hgveE6fLXe9uBOqiaGyK4UBml0H97Swd4SPkYhCZyIfu4ZHudQBcIKvYn +l7/mQnFvxTldjy6I0NYUIN9yIWE0I8aD0QU5FybLTDK5EEavdWbWdgMDzylL +lXAhOTaa3+B2L3i0lD/dX8YFr7P66fK0XhBkyo1d+8SFl9aXb6oc6oN1y1pS +m79woaLiEbgL9cMplwOropq5AEWhj9Uq+oFxP9Gzuo0Lz023We3m9INH9N+O +6U5qvkWySXyyAxBRURBhPsCFLa8ExKYvDsA3mQ3CshwuHJ4+cJk9PwCntj84 +b0ByYX1Q4rbjq2nA2N9beWuSC6p+EL91Hw08LNXXps1wIXzLns2Xz9BA8HKU +V+dvLvy6GFwvcocGET7j3cLzXKgxdZeZjKTB2hgjdQ1eEnry9ijJZtEgOyst +2lmAhC902ifnahpoVwlOvRAiIW2/AH93Fw3qO+2O1wuT0G7bkW45RgMrblnW +HzESPqu5j//kGQT6ghVi2xaRYJb52ldNchDcV7hfPL2EBP0ljv4e8oMguPPn +l2BpEroGjPzvbRqEiIM71pctJ2H3wC3PvTsHYe2poAcceRIM7yphmOogZLuN +9q1cQ8K8uxbfLY1B0Pbfr2WsQEJJc/vhVs1BqI+Nj/HaSIK1mxInghq3yp2b +ydpMje++5fWS+jzxxdysfxsJiu3pTV1Kg+DRk5cruZOEkb0+hPJGKp4JCUkd +ZRK4q9dNhS6n4lnocslNlYTCNkPdVmEqnpU1tYnqJKz4MrWbMUPps1th0w8t +EmJ8eZRzBih9DLx9+XRI0JSzzxSvofQ5003bpUdCkkz936E0Glhf37vPXp+E +EOF006WPqHwFRsSFG5KwVi0pz8uBylc89/fnoyRIzjCz84DKV8ERi8ljJOx4 +mvbiriSVr9qUAgVTEk57fBKs7RsAuyDzOyvNSRB+brj8WuYA7DwiqCNjRcKH +wMM71G4NAI9YgeDi0xQ7fI+dgwFo+GZfL2JDgu6VQ6bP+AYg9snisAX2JJzK +Zi5klVPvLuNP5v8cSPht7j3WdLsfFjatHBx3JqGAJS197VMftD79lsJyJaH2 +9u/rP2X64M1xT9cRNyo/dY2Fixx7Qbe5Y7bDnVpvLbu6uL8bJCMD8OdtEjZY +MZzOinVDn5mq77e7JLhl5s2d2d4Fnm0Rkp8eUuPZS4WzDneA4bP9rR/8SAiI +YV1bot8OspbjL/IDSdhrrfRxTrkNCjuNN6aEkPD0On+P0kgz+LyYZyWGkXBe +v9POOuUnnDiVkfsikgRWhclttPoB3B5h7ZAXJHguYLEXrPgOZS/f8we+JGEu +w9W1VaYegs86fX2QSILa29n1qmQNbB6oMr35lsrf4jVu7psrYDbx+vIraSS8 +bWcsKhYvhRq7df0XMkjIFj584/WlAnAY8nY+nUfCRd7/3J6viADlNzt2mheS +YPf6jOhroyfI59g7few9tZ5dTOBG6TRMGNV4oIckYH5l/KN75eiawtDXrqDq +KeSgU3pPFWpdeC62t4oExvvgxIqHddjJmH62pY7ar4TnI+/On5iS/ubM+gYS +BI3NZFQU2tDdxVRhVRMJy4QCLeKed+ISTk7W4jYSIs4lm9cIDSAt0+aGaCcJ +KhaufL/+G8ScyxIagj0kZAR/M65bP4xGpEv1LI2EpVed7GwzCJTLXfF4YpiE +xbcPTNgtZyHzaq0Jm05C7KH3vvdecTBgcmNPP4fSd6m4sv+CcTxZ0JrUSZJw +THg5+8f1CVx/09epeZIEQutA55HxSayYoU18+U3CSUutfQLSvzC0+On7T39J +YCY9G0wuncWzt/Z5lfCMw/Qts+W6bnP453eccJbgOLy6fEVT8+88qsxbrIla +PA7GfTcl7Q35y/+cUfCiLx2H/o+RPwgHgfIKHOtWlx0HrEzpDvFdUG503+9Z +36pxCFz6/ahqg1D5lefEDd414/D//+/9f4LEADA= + "]], + LineBox[{{1.1791931062381666`, -3.0249610600870227`}, { + 1.1798180066169937`, -2.8613136460447355`}, { + 1.1806289791974764`, -2.6424091704180817`}, { + 1.1814399517779592`, -2.4171161378818846`}}]}, + Annotation[#, "Charting`Private`Tag$121450#1"]& ]}, {}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}}, + GridLines->{{{1.08144, { + RGBColor[1, 0, 0], + Thickness[Large]}}, {-1.08144, { + RGBColor[1, 0, 0], + Thickness[Large]}}}, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + Method->{ + "DefaultBoundaryStyle" -> Automatic, "DefaultMeshStyle" -> + AbsolutePointSize[6], "ScalingFunctions" -> None, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Part[{{Identity, Identity}, {Identity, Identity}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Identity, Identity}, {Identity, Identity}}, 2, 2][#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Part[{{Identity, Identity}, {Identity, Identity}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Identity, Identity}, {Identity, Identity}}, 2, 2][#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-1.18144, 1.18144}, {-3.0249610600870227`, 0.9625816449082012}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{ + 3.7137868428211517`*^9, {3.713786876436328*^9, 3.713786880892294*^9}, { + 3.713786911917448*^9, 3.713786975636983*^9}, {3.713787043580344*^9, + 3.713787054112487*^9}, {3.713787091884612*^9, 3.7137871303293543`*^9}, { + 3.7137873441971073`*^9, 3.713787366054718*^9}, {3.713787744869535*^9, + 3.713787772248114*^9}, {3.713787873953774*^9, 3.713787896994111*^9}, { + 3.7137880959645233`*^9, 3.7137881089961042`*^9}, 3.71378817266117*^9, { + 3.713788840185727*^9, 3.713788843629333*^9}, {3.713792008614105*^9, + 3.713792022973323*^9}, 3.713792277625108*^9, {3.7137944343878193`*^9, + 3.71379443703505*^9}, {3.713796880744809*^9, 3.713796888383353*^9}, { + 3.7137969255232973`*^9, 3.713796927819489*^9}, 3.71379718348458*^9, { + 3.713827434665268*^9, 3.713827443488235*^9}, 3.713827482758223*^9, { + 3.71382758304496*^9, 3.7138276201271763`*^9}, {3.714131200316176*^9, + 3.7141312045699244`*^9}, {3.714131254215077*^9, 3.714131277251986*^9}, + 3.7141317655386057`*^9, {3.714132521860244*^9, 3.714132531422585*^9}, + 3.714132594800725*^9, {3.714133724809444*^9, 3.714133751537928*^9}, { + 3.714135421393217*^9, 3.714135451507843*^9}, {3.71413567570129*^9, + 3.7141356998242083`*^9}, {3.714135733025814*^9, 3.7141357840691547`*^9}, + 3.714136120052483*^9, {3.7141366600281467`*^9, 3.7141366864873533`*^9}, { + 3.7141377784504833`*^9, 3.7141377991028967`*^9}, 3.7141379539677057`*^9, + 3.714138050818244*^9, {3.714138200060054*^9, 3.7141382064545603`*^9}, + 3.7142171461980963`*^9, 3.7142188447804413`*^9, 3.714222440250145*^9, { + 3.714222657733528*^9, 3.714222683268447*^9}, {3.714224133382696*^9, + 3.7142241549538307`*^9}, 3.714225354640583*^9, 3.714225714002556*^9, + 3.714227554313645*^9, 3.714227908653563*^9, 3.71422857576338*^9, + 3.714228696834524*^9, 3.71422909104809*^9, 3.714229141599442*^9, + 3.7142292486960983`*^9, {3.714230780456892*^9, 3.714230785679422*^9}, { + 3.7142308157519608`*^9, 3.714230828606016*^9}, 3.7142340780685377`*^9, { + 3.714234224600782*^9, 3.714234237139142*^9}, 3.714234307673902*^9, + 3.7142348074233837`*^9, 3.714235165607085*^9, {3.714235516500855*^9, + 3.714235522453641*^9}, 3.714236139343099*^9, 3.714236584602807*^9, { + 3.714236988918172*^9, 3.7142370367497597`*^9}, 3.7142370714636*^9, { + 3.714237148119379*^9, 3.714237158503746*^9}, {3.714237735612874*^9, + 3.71423774221026*^9}, 3.714239090338779*^9, 3.714239706334008*^9, + 3.714239897849392*^9, 3.71424482138444*^9, 3.7142513012756844`*^9, + 3.714251354693841*^9, {3.71425138719446*^9, 3.71425141178547*^9}, { + 3.714251568248114*^9, + 3.714251585883616*^9}},ExpressionUUID->"f2620fc7-d2dc-45c6-adcf-\ +c6fb476d42f2"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func5", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], "[", + "\[Theta]", "]"}], "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], "\[CapitalDelta]"]}], + "/.", "sol5"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{"\[Theta]c", "/.", "sol5"}], ",", "0.0001"}], "}"}]}], + "]"}]}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7142298098317432`*^9, 3.7142298123326817`*^9}, { + 3.7142298482193117`*^9, 3.714229970202634*^9}, {3.714230013902568*^9, + 3.714230017096983*^9}, {3.7142301874072742`*^9, 3.714230189981579*^9}, { + 3.7142343285785217`*^9, 3.71423437965909*^9}, {3.714234573883163*^9, + 3.7142345750236673`*^9}, {3.7142355328610573`*^9, 3.714235539168882*^9}, { + 3.714237173649082*^9, 3.714237175624524*^9}, {3.7142372663876457`*^9, + 3.7142372666578074`*^9}, {3.7142377466192083`*^9, 3.714237750718816*^9}, { + 3.714239125280096*^9, 3.7142391253922577`*^9}, {3.714251391020163*^9, + 3.714251396293126*^9}},ExpressionUUID->"ab510bee-7694-41ca-9a57-\ +3fdd81f464df"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", "sus", "]"}], ",", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], ",", + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox[ + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{ + RowBox[{"\[ScriptCapitalY]f", "[", + RowBox[{"A", ",", "B", ",", "h0", ",", "\[Theta]c", ",", + RowBox[{"ff", "[", + RowBox[{"\[Theta]c", ",", "a", ",", "Nf"}], "]"}], ",", + RowBox[{"YY", "[", + RowBox[{"b", ",", "NY"}], "]"}]}], "]"}], "[", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}], "]"}]}], "/.", "sol5"}]}], "}"}], + "&"}], "/@", "func5"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Green"}]}], "]"}], ",", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]", "[", + RowBox[{ + RowBox[{ + RowBox[{"-", "\[Pi]"}], " ", + RowBox[{ + RowBox[{"Gl", "[", "2", "]"}], "/", + RowBox[{"(", + SuperscriptBox["B", "2"], ")"}]}]}], ",", "B"}], "]"}], "[", "X", + "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Red"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7142246940999937`*^9, 3.714224710004931*^9}, { + 3.714224744516198*^9, 3.714224747961575*^9}, {3.714228221815777*^9, + 3.714228223946136*^9}, {3.7142301107700567`*^9, 3.714230113937529*^9}, { + 3.714231178048731*^9, 3.714231307094479*^9}, {3.71423525344033*^9, + 3.714235256372561*^9}, {3.714235546552792*^9, 3.714235548823525*^9}, { + 3.7142371795421753`*^9, 3.714237179715836*^9}, {3.714237270963962*^9, + 3.714237271437516*^9}, {3.7142391347674723`*^9, 3.714239137562055*^9}, { + 3.714251412671596*^9, 3.714251415896019*^9}, {3.7148292621137*^9, + 3.714829262329344*^9}},ExpressionUUID->"337e406c-fd78-431f-ada0-\ +8e3d6f16ba5c"], + +Cell[BoxData[ + GraphicsBox[{{{}, {{}, + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3k8FW8bxq3Hdubsx7GTrUiorIkZ0mJNJLRIKipUWixtRKEUUZbKD6Gy +lGxRpLmTyJLsokT2PVmy5533r/nMZ2aeuWee+7qv77XG9YztcR4uLq4Zbi6u +/x/VeR/mfn71BV8/0jWfYkgFm43TJVFejajekq3A2HoaNNItC3h+t+MqPdc+ +lXtTQR42tbOCe/DtXHfpBxso4Muwr8hwnMFzXWNn+1QRCCjceTDIqRQNWHey +FxOigaGz+JvnNzpRJTFSv90HGlzmttyVRhnCDz5XmpwPocBr6dTU8zJz+L/7 +ox/8TRAo95OKYZGycYvKjfu0DGlQcsllvfajcTww4bug5GEKeK65p9YT/Qev +H5f7zlGiQM8NdCSlahF93XBDQGyaAZLv+GN924fR/h1BWwNl6LAizhbwiFxB +/3OsU+25wITjjtaPO3jn0UhHpST7eAa0fr3RwnP8N1rx3FZGJZsOOY1dhXSj +WZTz0ezZ+k0MCLI6dMjUjg873HhXxyKNDeM2P7VcJ3mwR1c7vN0SWJBdfBy5 +dpcbu1U3I1VcxYI8Ea2GAas+NH6HbL7iejo0+6o/fqjKhb1JkTXklmBB6IVg +Lwu/KbTDrH/0lyEDah9kSZQYi2CKd65OXEvigHd40JW2n0KY+BGS7EA8B9Lo +2uNP3WjYQbPS/esuSMCYuPHWE6eo2OpFP5H8anGwIY3vVy3kx3poLbgfnyjQ +822UxcToWBvr+iRflwSc2vqbfbuKjm3gva2YS5ICVTPFLxRxAWzzV9nQC/tE +4Vlbz52kNDJW8e5IhvQ7MXhDYm5avsTAbhc4fPFTlwKHEVnPYAEK9sgja0Ba +Sxzkm2+zZy4LYqHxkned1DkwpTavIWnPwTh+13L+85YD694alU8YG1uplaiv ++SEDPY4sq9NqTGyu8mdvyAZpkE2efqEzxcb8Tu3lvnFNFpzUvtfcIYlh7EMX +bQYr5aCgX6zeNpKFDR17rLS6TQbuGlMH0lNFseOzlWLP62VB80JbZK+EBBZv +7+2WXrQGdi9qhHR3MrEKYdLDhxnSIOqbctu+VgK7kuPlxeaVh0ODjeTVIjGs +9tlEpongGqgJm9jufVIcS4hKXqrTXAOP1fM8K69KYuky5w92HJAHwfovT/U1 +pLDv62bzu4huX28NtZ2P+CB113ax7hUyVNu5l5St8EPjOKeh8ikZko+ZV3+d +G8EtXpG9llYQeOrV7GvyZRb/oHsej81FILHXS0u0hRtokT8tqwrIsD3TeVj4 +/jxuu2GuXvcFBZ62dK4u6PICJ8HJMcaQDJPD5WiCzD8cPZ5dYK+MQHip+rGX +xpM49dhqPRJBAbsIo8BGxyW8Ma+N8qkZAR+K+0t/gWn8R2q0y5YJBKw/pS9t +PMcF/Tau/SvOCJAFFVq2evbjQc6ia2P6KNAQmvbEOLMZz1tsUiytpcIdLcb4 +PBqPUuebfNaH0WDjBVHjHTpVKF/CrYCm7TSgjO0+aJrXhhZcdmr5cIUGS61o +ZPPlMTSlZmo2tY0O216lyDl+6MJFYt4alzZToCwT27BZ+SM+MLhfYbKaCkZy +Te55x36hsvqjIyvviec5UbF5vH9Qys8yr+/VdHhQ41phMjmAhne8ihTQpMNa +euSgT9U0KiP08WXGCQYUMqxSRXV4MEFHxenHtSz48ZW9cVMTF/apf8JBO4gF +7jIjDq0Sy6j1hPkSVYIJvHfblf7r/oeGsoN1pg1ZcFFQulLEfgF1jdteEbKR +CSeUbgctxvNitMT4qMFoNjg6N0+WOZOwLVZx09XHRGHTE5Gjzz8IYNFmbw4K +GXBgZW+WbdcSH/Yrvlh0RUoU+vJ3mYQrCmHHLiaKS5Zx4ENQdo9J5F/UdPPZ +qsX3DAjcde/SmVBh7AdJV8nWRgz8SQmFUjkUrEw+3vfBV3FgHzb1PuZJx6ju +4b/sKiSheSw6x25EBOMYcrgWzohBeuk6valiGhYn3a//bkICWrm4XwcK0bCl +B+lvxO0kIFujWl7PCsESj1fL0baIwy8zmsOurwzsEXtgW+omabhsvqGkVZqB +vTvgr7bOWwreRJElk3pZ2JbFHWsmu2VggE8wvjiQiSW5mus2HpKGxAdtbHoM +G5MPsZZ0S5IFu2cKDWqbWNi0fn/QBW4ZULQcnAvaIYpdcl9me1HlIGqcZ+Ps +nChWWDKwxvyCHFx91Rh0X40fXux6p9z+mQwPNlFV9a4s4/1GBoJaKxR4HpnU +Vu3GA7FbC+vCzBHYHeEgIyhJhkqf6Bsr/8jg9Jw/61zhAv7QWn//pS0IKMg4 +xx2YEoBfViN2n1+QwcG7I3GAlxv4CjUHUR0Esq9TU7OreIEUrGgwJUqBV2E5 +GgpvhGFdya220jEyBAbvPM9nsor3eXbLLMQjoEqrc0XthSCGz+RnWQIZmlbj +nX0jSfAh935A71YEugZ/2atZpeNvWdZpJCMalLPoDilG4/i73dx6PxYQ6JAT +qutWncE7Wnwh9zYCXo6O5ez8QVzmxPq9bCoVBKwuLwWv7cGdXq/7ZsmgQlV4 +mUmSYhM6usS31iGCBiuxZuqSx//g1B/KHTtTKJCav4QsSwAa9ynf6twpGtis +LYq8Y1yLY34tN8dVacAe2lgyoNuOZ9WVkxIFaOB7tjgkx+Anej3fuNCSQwfK +grdmxuRfvDTdKNe0FCH0tHCY8WwK1cuWv9JO+FeJLVMxDn6jje9Vil22MaCy +ZTN6am4R7d3+dKdnABO+Kfvz8GiPoFyrnpJnvengLZmgfzajD30+ZfxW6jDh +f6oWCe0es6hT/t63hyIYkO0myeWaxo2N0ALktF+z4FjO28CUjfPozkyVhmgz +Jkxr+XRtLl1BlQVExdOUWNCs0Hf3qjEX1iTZwZA9woJlJJmjeooPy4u6w20V +wgYXf8eu7QK8mGbBB9Hh02ywyUuxonzhx1ozbuw2DBcFldl2fEpDAKMVdjxq +/ioK6yrpAu9mhbAv5XbS8zQxqMWOIEmOIpj+5fgbZzzE4GlwfEBwCRlD7sqa +nucSh9maLLu2aEHsflVBXsRJDpzdf4p5QoaCjf3O//OpRhxot7JkbyvQsSuv +Yi4xUiXB0EnTwuI6FauN/N1VsV8CfC48OLncTMfG65+lmGlJQdpg5ADnHA2T ++zWUzjUkAQd9Dx87HcLAxCWUP0pGSIF1/e0A22Emxk1/bziiTvid+pkd3bpM +bDa8+rxdvDRcyV/Xx02nwhnaM9emGDJE/HA/Oa1Pgy1p6EpvJQKTu1ottliQ +Qe3Qp6TTCgiYd5jrnrspBJtGFupPuiMwt2UHRyYbgTcNb76raiKQrEpn7hsS +BpXTjbl0XQooJtjafTrID63o1d1f1yJw+UWow115Qehrk+BwqyBwoZhzJwMn +geSZ7mtreshw6d+ikJgWN/z8Y+39tBwBTnlA1WIsDyzJDtR840Lg7pjkRPcC +L9QnbUQL6QhkWrs+dEtZxUPe8BppHiXW81nQSfyxjI+HC55SIepb7vJ7QNkz +hwcFkS3Ut1JAevmlW8CnP3iTwVSjfxIF4sb0476JLuKnKFUpESkINFyXstgV +PoNHOolX52yiAJrkr3F6dRznmjE+/oWfCoIX62Y7zw/hm4u8KALFFMirMoqz +GurBPXnuZ2zbSoWYKx8TfN924BL2zoXeLBoYx6x8eGH6FRfjRwfr0qjwJU7y +AmtDHp6/b6x1zUEaDF7/bpilUYxaoJK5O4/TAL9Bn8gY6kUb1A+MRBL9bj6n +eYSS2oBusmHutvtBA7XM1256F4bRGImX5yhAB5Hdx9P0in+gGsOQ+ZNJ+NXr +aI3q1Qn0yj2L/tAZOjh03fTxEZlFw1pfmyozmbAhcFvri+1TaN2yDbeNPAMo +U215hg1zqEvuK+NOBSYo/gf2dQdX0NAqy3PHSCwo890RR4pbRGsT3DrP3mWC +eu/aoxZ0Luz2PX1XSxsWrH2yOWlenw872ari/DePDcGhqg81LnBjxg0xwYdq +WPDNUa4mzVUQ69KffWXnzYF/7GFHWCVhE+Hs4DgaBw5VHxFhtfFgGU/oWtkR +bNif8NC2M4EfO+YYV9BxThQupT0X2xNOxtZzYtpWtorD3sGft7UnEMx/qWC3 +V4A4pGpMOd/6JIQZnKnKj98oBrLvc2Qk9lCxgpFXTylmEuCt/ibWc50I5qt8 +b/cCLgazRxSEV51omEvw0NY1JEm4LL557KwIHTMdbEiRipOE1U/biy+O0MFp +8BZ/WAYCGtumTHj16fA6xnx8ZIkMjZLR40YvqFBgI+DPE4HAULG1Uu87Onaq +rEnzzREpGCddPxgVSgOuSQXGJME/ai9J7T4DZNiXPvQuUwuBoJXagv1mFMh0 +uGyiyYvAoYBtC1HBIvCkpcle/i1x392mDdlywhAshGyu7iDDGbwtsn+/ABib +GKopLpJhIdbAY3WOHw6mPl1lFiNAOkOZrSoVBI0GJUp1OgIHGgqzpGL44KR0 +2jV2AwI6i54Tupt4Abt2FX1P6EUqQq/U7is3tNQULr5/h4B6leP4WU8uSHu/ +JnkwC4GjF7UOwAeCD8tI44nEer+eKGWGhc7j5PD0JDkOBfCbk20c5j+8klNX +M3oXgZi1DyL2WC3hv4OVMnzEKbCr29lofmkKf5sQoj2qT4VEYQ5VU2cSP148 +JxkTSIEmoT32dd0jeFGBE8UNpcK3nNNFhvb9eIpCl9eGQCrwXe1XPXW/C/+n +Jz9q5EaF7wEeJ/TXPEaLY8Xlee7TIL7Q3WjLlWa8fdjI06ySChHoAacN1WX4 +TofmmFOEnsinUtOLLv9C1SQ+WC1H0mFH6R3corsN3UBBF7iABn19YQmHoqtQ +ngt8N4e7iPxYEKe0U2AQtR4IGTQ1poOZpcsZLeofVLi2TblMnAHrzku5dUSP +oXcmKlob5unwUO5b0F2XBbQp9BZ1vScT/jXU2a00T6O+4VjBzSsMMD7ZOWGv +vIw6X9xit0L4zZG5XYxPj/6i6+V2dfsvMWB2wqJJZuwfiu69l/simAU76nxX +pr9xYfwrSgfay1kgtW1DUUkiLyawVv++pY4o+FV15nwz4MH0gvrqBPsIPR7U +Kb1xjIS9mVruN4kVhb83j6kkc/NjBnP/fP22i0J8w6iPpaoQZu6KFB/9woGI +A8sz7pUCWImvVKq2BgfOsRSGNe8KY/6b9MYuq4qB4ejMFfakCMYTIBtmoyIO +LJdMnc7XFKy9q2yHjpMECP25fW7BFsHWDB7xePtYHHwbzja7kGlYWMDx4pEm +CZDVy41SesyAxzTKD3UbBDqX0Kz8YTq8swvJEa9DoJ0n7JOxHh324pl6WoQO +fhfzCcVbMsGz1nL/JYK3cs8rZXwNocH6yvt+84/JQI674VOSSYUbY1/fh9iR +wejkh9jWnRSQZcXpuPgjoOu7p2aqjwzp8j7+iSgCg453oilBImB+Ojnv2SaC +3zLsN6jKCsP4Hdc4fuK8I/CtoOk7QUALvdvlCb1tLdEyO+IkADTV7uK8ZTJQ +8ltvv9bkhVMqaZsbPBFY8S3cH3+fD9a8josI8CL8p28k/Mpffli/9ew+DQcy +gJrPrfov3BBrsj777hMyZK1UHhs/xQVzCrnraPcRSLm4pp9O+4d3e5zo7H6J +gJKZZqyZ+RJ+66NN7+MSCjj/ZJi/fT+LVx+N/1TrRAHhgv3+12/M44F8G/fP +DiOQ5Zh2fHJ+Chex5a+/qEmBDWr5ous2T+LRuZIUS38K1AWtj9HY3Y/P5dd+ +OxlN8F3cCXv62Wb8ZNw11ZwTVOB3OxVe2TGCt7yyPYOcpMCXiYR4g9AuvPpZ ++mGBKCpo9LXqe/U8Rl10GdG9hjRQEH5V/SCzCg1gtpw9epIGym/tDcZyy/Ce +KMtYa10aJEtgh0+OtaEZ3zw8Vupo8KxGcbLy+i8UlhxdPU3oQP/z+cQ+ZBB9 +vHb/5NxrOvgtP904FD+Gim58+ZtG6CVJwarNgPEHnaijSiweZ0Cb5Y+dfN+m +URu5x8oCpxmgJWkTH3N0ASXfluG6/IgJmjiuvO73P9T6o1NF6F0WBMb8yq/9 +7y86EffpazPhT9Wfp3FnlWV07/zalFI+Fvw690YWS+bFIjtdzdcYicJWp1fi +vh1cGCfl6eGEQRZke19zUODlxx4lSOxje4qCaMJA+AFDHuxl4fWPY3MseDPo +1S7gRsLEexLj5vpE4RC3b1f9eiHMHXGVVSjnwDoBpKUgQhgb31OvOXtQDDb7 +qD2M/yOCeZ2X/3X0lxhEqT61GPssgIlKa4Vt8eUA8vaoyNW9CIYZkW47dorD +hqYXls/8WHDhCpdh/RQZnG2cWjZXMoHrla0TuZsMkqyhiQ9sJlSKnrl/4Qah +n1rByIXdNPjYV7rJ6CYZOJKaQjbHGOBUbjW+doLI3+Ffxjrz6KA97S11xxKB +8qMj/zy46fA3sjXYez0xv2/9EF/fgYBM0obGtwFkqG1/WrDDlwzBf5Oy0jYj +kP/8iS3VkArzOvr0Og8E9uUK3XNhiYDJU5PllG0Ex43eqL+aKwR0R02uXZkI +PGAZMB9aC4KmutXny3/IYHiogjauxAdbv9XV7FNFYK262JjQRx7wOuHkzTuJ +QHivMqMxjB8q8bxLOd8R8E8n9RSMkmBPT0iW4SWirsz6tKDFVXyzw1qfNXYI +WI92+yu5cMPo60O9F50QcEDzHadOL+IDEuEPWiQowMNeCi3WWsGPSL9zCtKj +QNpb0wsqGXO4jFK4ROQXBJTv2ikd6Z3B/a790nZVoMDSffvmBOkpPNvlY1f/ +GsKvTD3znryawM0OfUo9vUQBH2S28lJ8L94+fi4XGaHCzqXne92zi3C3ufqD +oWY0cNSPHKYqDuMf1lds+1VMhWR2n1spTwNeLnyM5XyRyDsuao4d4j9wpfnw +qsQpKvzevxjNyi5A0ZGN8cH5NHBnfn6aZVKPGr71nSjqpAHqTIv77PQdbcwi ++4rP0SBky3GWj14vmlv6pjUxmQ6lbb7nYndPoOe+jJfUWDHA6qZTFH/5EOry +Vlyi/REdQrWMn94f/4Pe81NXkHRgQIO7Xa6S/xxK2+6m8cKeCbrOsmK/jRZR +tqxlUukhJhgUv7p1MH8GfVF1zdmjiQGb2tSErlWvovkuuqZNGUQ+MjkRr7CL +G5M2CTCzrmeBQZG07SjCh61D90d5N7Fhk7F6PSmLB+PTnYq69IsNAXveK77m +W0Ef7bb2yJZgQXe9smNBEwn7IxnFPyHAAfbi3vKvZ/kxmWOxveodovCi9Z1V +vI4g1jtwxlFGktBHGPOGy7IwlvyJ9WJdmxgUbf9Bv/JQCDN0r9aOJa77TExW +bCXWNXm62L5cQ+QLt9ZyxyIGHObK+vFDEgG953T3C3vpsDjWLYER/HNuVu9X +9Qkm0DZZz7vnkSHs5WvFNVfZIGpM3VZFQ0DWaLp1gJ8Bdwx3oHYHiX5WdX2Z +TXCo/0uqgNF7MogZTVTJ9VJB+UpOt8wtBLSyna7zpNKg9r8DYT/JCJxOjg08 +XywCZjr6truCEdhVZfkxwkEY1v6E5yk1ZLgeUXRsK8Ex4slJW6UVERBxk8T2 +SSNwxrty/DcfwVOHxKIzZwTh8sPOJVEZBLB4vbLKKAGo+o+/fWYXoe8elYTV +Gj7YWxn3YCfBV1P0b0QmI0Gcdk+FCIYAT/KUiuRJXpg8r4TF/yP0LXSJR5fE +Axwn7TYrCYLnUOqMbSoXRI/ty8nHEShLb33TGfgP971m+CWB0CuicKKZVbKE +H6UEvryUiwCbNLp3OnUSV6yquFE8RoF7f31uWs7O48NhO7BTzxE4vuKnFabx +F09p7A7AVShQHe6k/+7kNH5srlrp8U8KmHcbhO15N4rHISB0vIMCTzvfnNd+ +2o1vASNaz14q0HgPjX3UHMA/erFG7+ZTwDetyH7n5lZ8/3V3xXRlGnRIJxbZ +6FXgdjUPmbwkGpQJmol6CGjhBvkx98610cA/j9GgntyN+hyy6++8Q4cTX7em +G6m0ogIMm16yMB2G+Tbm4esH0LoB4Zks4rqKN/8GHcUK1O6xCqKbSOTUWIPb +NkWjaHGHQ33YVzqwhh6VV03Noze1x3aZpjCh0eaOiveTSXRlHxqfHMEA938a +e7a4T6Na5i5rGwwY8GVmqYh3w1/UXMI4UdKACYclX9YfuPYPvfTH2UPWmgUh +POSUWT4erN5bOjI5mA1VXkIZ0W+W0Pvbi8rihVjgsn0bq8OdFxtassQrqtlw +5Y6UHD2FC/tKmpj6I8OGuTVZ/6VsIPJOugDr6pAo8ERVHwm5J4BdPXmunOc+ +B9ZLsdPfV/NhFaGeHLyFDT+auJtPTQtiXkpZTVd6OfCMV3LL0aOicNPuTpJF +LzGPTff9uMbFBh/bs4ufqhFoC6wsm8xlw5mWhkD6XwROvjPoePQfEy7/3qPo +54zAPYvEv+TdBGdOmb6LekjM+xWfK4VbGPD786Igk8jTtnx4rOktOnS9sJdx +0UXgsPSHnS7Evs1c5q6yySTD+osHLzUS+7Q9iNZXQeQFwweOY+vGGHCj56i7 +3ALBP5ZHsuZCEGhl5b/W/UbohTFwqmOYAt6jYuFitxG4eZEzwVAkw7sBxpHS +dgSumPKOWzgLgde2wN1f4hHwEOp9p/5BGIYutJQZehN5633KqNuSAEz7qldu +JtYTj5ypCI4nwe4XeY/zoxDgLjTdUNLIC69/0s6K2iMQenlFRXrvKh5PGln4 +aIsAalm6N0mbH6JePZfpIupP5NIRmCZzQ6SV0ckpFsFbu8nf90Ys42kbk8pl +phA4P9ou03aGB3bInFr5SPy/SOfAzKWtM7hsouQfJ6Je076JiHKeOVy4gtvF ++yIFuuwpt+99XsB3hUxrLPpQIGlXvvhG3z94OZW01LqTCvERvTI72gbx3W/O +Z2wIowJvQWhcs+s4Ln30hrmQK8FfwaR9BRY9eDOl6ICfPg2Eeesttv5oRONy +OoeWG2nQclYxzyywHa+Vs0u4yqZBtHnMv433MvGmXqU0j7002D2k7bqjsRbP +duDv+XiFCquv/9t5kYWjP8Mes7a/psGryfHnDbQRdDV/wEWHyoCx52SK83Qn +mnfUNaNUg8hD/bQu9GYfmp4s5+FG7Ltdgpvr0v0p9L+bMYUKhxnQYaE9dzTh +NxqQU35VyIjg+kj+Mx+cZtH29oLV5wS372ZfsLstO4+GXfhTQb7EhABIHRHP +WkEtY93frIiwoL+Mc9mufxG9ZeDYGkToQ+Gh37D9Y27MtGQaa7/JBrN9xr7e +elxY9moJuCmwYeKM+dUt/3iwprej3VN9bCi+2H1O5ggfpq0uvzqpJgqJHX4x +XzdygLyhBBsUpMCnvlUdnnJ+zNFymHtalgNJa3UzBpQFsA5vISdzSw7ckSzQ +Ha1jww2Pmr6vKQiEyS/v8Zdmg2POuEMqwRt1DkoyhwIJDqw1U2k4j4DL/Yfa +Ap4sMG5SRrcIIqDtUbgzppgJkQ9sU3SI+W3d3NwmL8SEUeXhyVRi/pp/l5rK +IXy4TW3GiYfgFXnL4hajZ4RPTz318n5E6GtGJrV2htDLq7HSlDIELio0pY0C +AuuSv6VsPUDk7+76e07baPB7gmuilOjfR4tSrvUKVKAeGKsKfkvwkadzChov +BLXWwUfyWsngOfU+VXFJGPpqL0jpKCMweZSr7/4ZfnjzbdMepi4FhAxzrh7U +FoSVihm7O58Q2F+UeF7AmQyO+7805F0h9LToJ+LXSAJZATOPZuJ9rg9jWl6R ++UDQqr7bk/CHfI9ii8Ed3GChIrPTUI0CQ5nBu0ifV/Hxmx1K5uYUuJv9p7Qm +gwe4h84eskwgvhdzW764dREX9uFyVX5MgdLcm3PGPCt4zefLv6+FUeB08Rzn +pc8cjtliGtPzCOzd0biQbj6BywSYUGSbKPBL2+Ct5OgfvDHh4CafNApcS1MN +7cmZwZ+/Yt6uAQqsneQqCN3ci+/Pvet1/RgVnh6dHxja/R23CytYlo+lwviW +WU0OPoSHpOXUGKZS4Y/eau3p/3rRE/oLjHofOlSL5czW6NXjIl0Jl0nzVDin +p+EYT25AreYbKG9XaWBiXe3Q0VKEtg7cP8fm0OG3wLfIJyEFuAup1rkjhQbS +D3ZIcasMo/sz1VRL0gk/OWAqWKzwA/Xj/1vCCKTDSODP4fsFE6j+OekPN9Yy +oHRzBDdNbgq9l5zSnv2AAWffLvd/659BW2uLXNcKMKHARuT6Rt0VtBszVeNb +ZQLJPRlJyZpDD5RNq1J3MuHJMbWrJ7wX0esje7kF8phQU6n4bns5D/bkUb+m +VwUbTrT6H19cXkU36jG5T7SyIMf/8hRymx/bu/lib0ODKLTqmAaqrOXDNhv7 +fHGQF4XVDxEVR45wY5eieQPrd7HhfzIVAug= + + "]]}, {}}, {}, {}, {{}, {}}}, {{}, {{}, {}, + {RGBColor[0, 1, 0], PointSize[0.0055000000000000005`], AbsoluteThickness[ + 1.6], LineBox[CompressedData[" +1:eJwVV3k4Vl8XNc/vPHrNU8ZkLqJ70iAppfqRRJSUolSUiiKlQqYGGUuEiIhI +qbsjokSRIWSWec4U8b3fX/fZzzln77X2Wuc5dyscPr3nKB8PD482Pw/P/7/y +xee7rc/KwK7wrem/XAmA4l+QTxxjg7/b5T3XDhDgz10UcGYtE96WZFvXHiTA +g9qIgrLPdCitH25lHyJAOH41qvQNDa55lJiddSHAKF/vfWYXFcTmlN7VHyEA +xcsuSkuTCmH2QZvN3AgwNnoDexhOAWXf7ZdyjhMgbPNK8KAABY6ylyJUTxLg +YdfIq/bbZPAoXrUzw5MAMVOMp4EcMpTs3hik40WA6IVAYQd3EiiUD/XhZwlw ++Lnw2chsInx/8rXa1ocAvGaHrmivEOCOcNDMnwsECLDrUtjGxT1pgp2Lu0SA +Eimvt3vLJKAjQWiNhT8B/l6ZF6DqSwBJ56HB4lUC3Ax4cdYvUxxURLU9Cq8R +4FOzZuBrNXFIKqvP871BgO16z5yJ2WLweHpOyfwWAXw9Dyx0GYnBFuWyLGoo +AdRS5+Kzy0UhoNwGG7pDgK3aYoP/9ovC4tqyxspIAuzr9ko8NSECWesOeebc +JcChr1fFMkJFIMXv8ULcAwI8JdmSHTVEYOuZAs/wWAJICK3zs6wWhq0FWNWt +BALoPIwt0DkjDG86klduPyKA0Zzckza2MLx+c1A0+gkBRoQmKqXLhKBQ92Tn +46cEUPF4cKv8tBAUaW6+WJhBgGYd0csvZIVA/WDc97osAjBuDowU1grCXdGt +HTM5BEg9dOTE22uCsK4oK07uJQGmhNiOj9YKwlYll6VdrwiQMynw2mJMAFY7 +BiwFvybA3cI1L+LTBEDG9fuDj28J4OzDuXjdWQAEWUalIjgBMliX2KNSApBp +xn9hbykBRF37tUqb+eEdrT8ntZyrL+VK1eQDfrCV3+u6VEkATYXQ3Sdt+SHg +a3LEgWpu/oHIvXIsfpC9n6GO1xIgL1rwwkozH5Ce71mtUU+A3Q8t7Zfj+QB/ +GhUV38jlK3bcj+TMB2VrgvbQWghwznGTnqoKH1xk7neP+sXt1/aOEJNhXnhu ++7GG0UUA7cWgzdhLXnDOSfJ/3EuA42cC3mle4gXVq92ndAe48ZoD/bPmvJCl +PZZYOUyAj5LY+ocSvLBpozS/2zgBWDvvvRBu4oHO9W9jRacJ4HQvMMfsCQ/8 +dqpwyJ8lwLZDjgT9UzzwunDK/MhfAgS+7BToMuGBYuKZ7ZLLBBC8S9DYKMID +o+vpHg28RIg0P1Eb93wFjx0LeBIjSISfzyUnVyxX8OwXvgOHRImwHHGrLG1g +Gd8R2rZWm0AEZV2Ztuu3lvFAnB3GRyGCopvankj1ZVxJqaujjU6EVTY3CvEv +/3D21IbV79hE8AzuERc7/Q8Pc5DwSpEmgsPNLNyN9g/ffOrLkwh5ImjYn075 ++noJDyg4AIHKRIi52PLb6NASLus2UHZRjQh1LxnUeKElfGfuxYwLWkSQf3aP +ZzpnEXcXtnW/rEOE6tZNbWv3L+Llp2p5bxgQIbGNKHmEbxEv+aHveW8dEQRM +i7xOZf/Fp4VepD0zJUL31Zn2vfZ/8f1hL559RETYufArkSD0F4c3I2f6NhNh +nP+64oP8Bbz6e9JfcUsu37RGyQGXBXxdahq2bicR+Dkvjy6TF/A3DS6mJ2yI +YMWvyPkB8/j6A0Ujyf8R4fSLb5dcz8zj8gf27+iwJ8K2X4/mMxXn8bx2mp2i +ExG2/zu2JuXHHO54q0Hk5GEuP57Wnm035/A6wZOOxW5EGNO/xfvQZA636Gje +TThJhJupyw/DxmZxOkelw+00EcL+ircrpszieuoOAhXniMBXyFhlt38Wz8Xy +SzR8iXB8KeS3CnEWX71kInDfjwjG2zzzQz/O4IMa65sEArn9cB4zu3F5Bmed +Fda7dIMILCPFvST9Gfz9tj7yzG1uPsuyllXDf/AxkpqXTzgR0g6JNFam/MEf +bLDesRhNhEqvEKepg3/wimNfkoNjiMAuMH76mPkHf9ag6MlKIEJ0q/Pkt2/T ++AtqX2b2YyJgca8eBYRO44v7M+0snxLh6SMfheyt03hi+hqvoWdEyDOJWNzL +N4135AlMRuZw6/E2lJ99P4XvaKc2meYTIerVeg3hy1N4yK4l2bEiIvD0K/QS +103hLxsrylNLuH7IeIzfnJnEnd8qVzp/4Pr1Z+/D0/mT+LWfMkqKFUSQvBPp +8PHMJD72Nrl+4DMRyv8o8V3XmcQPtJU0FtRy8UZ73n8+PoGf6fVWD/7B1UuW +V8v0xQS+wXOm8uBPItDqCwZ1Tk/gjkFWL9e1E+F8ufLKrTUTuJ1qQbdkDxG2 +dlzYc6NzHOccd7DjGSDCvOENl9eHx/E/X8MJIyNEWKjrqU/vG8PlWx/z/Zok +Qs0R9vHd7mO4FKlPv36Wq0/N9GTO6ChOnHubVLNIhA1vGuzh7Cj+LSAJ1fKQ +INFiLj5wfgQvn55mNgiSoOnWu0/jV0bwJ98t5TrFSLDpBG1FWGgENzZXtZsg +kWBf9GefT3eG8Zh6rRJBBgl+T/Kd0WQO4xV3Wq3kOST4+ejhVt1HQ3i3yhw/ +kiNBfHHMwUa1IfxasHq3qzIJDIUK1dj5g7ifs2ZvuDoJxKe/r/ljNogXHv4m +/F6bBDdqzwserxrAI/xrt0/pk4A5edTqzH8DeMW8VJamMQlsg5XzCN39OAv8 +Vp3YQALCrzvTJqf7ccfd42+yN5FgcNG9bXbpN95GcXOb3UYCznoRcyz0N66b +1bhqszUJDpX/EqJyfuNflLb9fbCXBHJVqpKez/pwjun39rH9JMhfH3XW2rgP +v6Fztc7Kicu/t5VVUNWLR7pcqc8+QoKdb8LYCQd68X7F8Q469932t4oPFxjp +wWujBGYDTpEgXEI5adi/B6ffEaBPnePivSnjs4vcg4tUy647fpEE3w3IVtop +3ThHP8+55woJhvq+OQcbdeMQLRF25DqX7wszHtvPXfjKxtuvB26TYEz23+V4 +py58aSqs92wECaa/YWv+m+7EVdaFEPnukwCTuO4feKsTj73/1+BBHAmyIxzq +ZGU78Qn+HbZrHpOAku5mbne8Az/Nwz7z9SkJ/u43+bzjfjv+Tr4vyCuLBH7x +Rhulyn7hR9o332HnkSCB0voGn2zDN+xuCy0vJMG6K7B/rUIbbp+398qFEhLs +aDXeftWmFY9csj+iXUqC7tj5L/euteAeVo+Mhz6RYE9zvqpPwU88mjm4kvmV +BHW+dfky/c34liMrBV71JDjBy64P5TTjaT3pdut/kmCBtO9PiXUT/qruzW+x +Du75i/TonKBGHHWwXDp6SWD02V7PqbgBL5xMK389RIJkmrVb1fgPPFpmHy1m +gusv3eWq0VU/cKY4yfLSLAlUhBgCVU71+PHYpqOHl7j+XnpYvj+mDm99sL9A +lZcMLf5ZVXHfvuN8IXsy5AXIEOywvSFM7Dv+9MMRorQwGXjUaEVaW77hz4JY +vyXFyLAqjRw+wVOLt+zhWcMhkMGcmVvd4vsVf7Eqd0CaTIbodMtl2tQXvMLr +A1WRRoYvHo9EHnp8xm/I1zxXZ5LhmtCt7sMDlbjnZu9CfUky/DO4fdfr6Cdc +/uv+NUiaDMsuPvrvesrxmCoF1i45MoT0iw9tPvIRf2R4wdNZkQxN9IQx/t5S +3JUuouetQoaDPZk3Z49+wJM2X3MNUSPD6r1GDL06HD82mSiQokkG3rO5hbUt +JfiQFoX6XpvLV0yo+X1fMe52OCasVZcMibj5xfmpQlymdOzcogEZmmeTXvnw +FeCbaK2fZNaRwTq2v3QNPQ+/sE3hlvl6MgQF1nVhu5/j23hCC9w3cOul4DZX +/dLwJwU9O+5uJIPtXP1PcvZj/Bnx3258MxnMwnidasvu4wm/02HUggwk1aCm +tpPX8fGD7+Jlrchwj+Ne9WhhH/Y1j9ltY02GOzauLz/G3saO/4u6e9OGDOV5 +DTV85g8xvS+kXHwfGdb8cLp/uykZU7I8u/avHRlmKtadZYSkY/NfU9TXOpAh +YGt5RO66bOzxdHjweScyBNY7aOafycOyrstbv3Yhg+oH4FfYUoBxki0DllzJ +cKQr2jGdWYR9VeKR2XScDM+a+F5a/S7GdNabKYed5Op9ft8xWkEJdsF+4X7T +KTLsiULf+QNwzFze4KzKWTJETj5jU1Q+YJt5J1/7+JCBKJvWany7FHN11jtR +6UuGYweK4cpIGTYxyhcs40eGesNL1t3W5ZjoOQ8Jn6tk+Llemv9YbgUmlHHl +X801Mjw3ittHolRi/B1W9prBZGBJdeT+8qrCVq30y4Vw54b+dWP+P2o/Y0/2 +nrQZDiODjZsYZ3Z1NWaIT41aR5LhiW5b6+bQr1hTfsJMwV0yaJvHUMv6azC9 +mpDjMjFk0DhBCipW+IaZWHVtvRVHhtb0e5c1a79hM/6fI2cSyXA2Mi9ind93 +zCr29NajyWTgO1LZ3KVWh528ynu8KZUMyktNHmoNddjnxBczVhlkuCkT5kQI +rMe0hPPGS7PIsLh157sorR9YG2Zqa/qC62+0+35h0w+M9vaO+uuXZBjZ9XTc +71oDdi+j292okAw3lrbW9Wk1Ynyz/qyiYjKMPVFDU42N2H8pT/RM3nH1SNhs +nBLQhHm8jn2LA9evGplvFtSbsRty2S8tPpLBXSD0/WxdM3a0VZNd94kMmk+3 +mcZf/ol9/Hp0xOkLGWq3BqoNKLVgRVW5a8ZqyOCbLu3T/qUF43COdF+tI0Ol +537K1XOt2Pv3TQL0RjLYu/4Y/Mxpw1r3nYzJ/EkG55NJA6Uf2rAWkYC4Tb+4 +eKU2zBw7/guLO+NL7Ogkg/AW+POG2I71byqZ9uslgxWztKqkoB07uvrVdpkB +MkxK++07daADOxL2jQbD3H4IfD37baUD4z18ZdfRcS4egiLP2T2dWI6b3rLE +NBlKvzGGf6R2Yiyrw/JFs2QYOld1lDLXidnsuV145C8ZDKSet6hadmGRXxU+ +UJe5+ptJ5rPjuzCFM8/RR14KfD3haNc70oXlf39u6CtIAcmJN9qhG7qx9PyM +x9qiFLjjeeoRIbIbc8XVrvVLUKBvVz7Ro6sbe/60uOUJmQJbDSs70/R6sEHh +oUxnOgUoptO+74N6sMIPO6bl2RTQMAs2zv/Rg2FeFwp6pCjwZLg76IZKL/b6 +H994hhwF6BNXXhue78XU1UJTvJQo0PCz3+hjRS/W5Z1TZ6JKAWvqJ0ddVh+W +70jyF9akwI6svhD/Y32Yoe6elEZtCnxW15F6VtSHXbKT35qhR4EIozcnCoR/ +Y2xpFTc/Iwrkm5X+eGT3G3t8jSiw14QC73he5Z9M/431HAmX19pAAQGmrgt7 +7jdWxXegRNicAqX7xIzStvZj1hfUm/u2UKBw7c4QxoN+LM6ryLvCkgIjWuav +3Pr6sfUlpdHPdlIgpM6LEGcwgC1RJPQjbChAWp0y8CJoAOu1t7e98B8FiioG +4jPqBrCVw2f+udhTQKQy9vJ1hUGsfYO8+i5HCvxasm/d5DWI7dHTb9ngQoET +36SI/e8Hsf7syxTdoxRoXqvkdoowhH2l1daquFOAdlfEsMVhCBtZEmDKeFLg +T8DbLxqZQ9j4qvle5hkKBDy9ccl5fggr5LlpRvOhwMYjhKjLW4cxweZoeepF +CrwN3+/kd28YezzKE0Hzp0AFoVbnSPcw1vj69W1WIAWifMxsdXRGsO6EpxTZ +GxQYj2qS6vUfwTTbX6mq3qbA/RGTmitfRjDK19ZqvTsU2LD1TDGP5Ci2OVec +b2MUBa7zTKudcBvFHr7fUGlznwLHgp8de5s/ikWlnpY/GkuBibRJ/A/PGGbq +myh+OZECij2Jl5nWY9hK2OeQu8kUsCuc75GPH8Pya5aScp5SYE1TxUb6wBg2 +vt/UsvoZBQbcLX9NGIxjqQIPQkayKXBcFy0XBo5j9iRJV9JLCtRkDQ+71Yxj +TrNNjQaFFJiJv3k+gDCBKUYO9hx8QwF25EJKqf4EZk0/FnbzPQVO2ukr/LWf +wFpNTn0vKKWAA72LrBowgTlZyRb0VnD5Hfe+b5k2gUUcSTBkfaEAw0Plu0v1 +BDabQbTbUUuB4fTpvtNTE9jItseS1+spYCSQPnOOPYnNR1y98r6JAmEl3xRO +bZjE9DXagxdbuf7eVh3q5DqJbcAn9Nd3UkBuG+zbEjKJAWci2L+XAsmujxIV +cycxBwt2YOkABbC16jdnGyaxbNFnSmKjFJhVGdb9sDiJVQv2nd43SYEFtPH9 +NYUpbFGRdix5hgJESbsd6y2msOlZf7HJBQoMxaotDXlMYa0pZx02LVNguuXa +aFT0FBYybe7wkI8K0uMCSOf1FJbcv0l8QogK1/LlaRW/pjA8/6vHdnEqdMdL +Be/ln8b+e2MamE6iguxF0utmtWmMnD9hKUynwl2z4U//WU9jX0N2VrqzqVBf +fu7H53PTWPt08b8aaSp3nt+8tDZ2GtPRSh42UqCCb/g3x8T309iNXWfuJqtQ +4fKHw6zFnmlsciphlqhBhSqqnIWN6B8sYHcc86o2FU4v8Yk/1v6DOVJ7/kzq +UeEl9jugf+8fTPbbn+hja6lwJe5yherFP5g3wWaqYz0V6i7YLDgn/cFCE/zo +DogKWGKd0d2yP1j4KM9i82YqHGjZmvB+4A82tXAi3d6SCq9z67f2EGYwO4qV +1K+dVEjg8d/Lqz+DHR8z3H9kDxWeZql0sPfPYNcSPh4asaWC5IZIIQ3/GcxZ +4q6+rwMVHkYe+m3wZAZLUzVvEHKmQqo7K9740wwWJnB+60NXKuyVldm4bmQG +m3RpuqXlToVFndd/dCiz2OfN1KQyTyq0DFPrlIxmsZAbTTcdz1Lh0IrJDNlh +FvvPsdXi73kq1LAVL81fncVWJzV2xF6mQvvlJL+W1Fmsc+yGjWkAt7+xJ9lF +VbOYnXRmUtd1bn+TNdzDx2axwF0iVbdvU0FU+kiIM20OKzN2rzMIp0LMhaCY +1evmsAdlcSXd0VT4FNeVNXNwDosyO3X7bgwVws697X4dOIfJHCw2sUiggnXw +WrsLaXOY5nHbun+PqbD98lFl3S9z2C5caU/RUyqUZ2w4+nt8Dqub5C85l8nV +PynNIIY+j4Xpt1P0X1CBL/dk9ibjeWw2NfG/mXxu/y9ZDA07zmOJHnq337ym +gtbpDsHIa/PY76eROdfeUWHqv3KOTvo8dmI699POUirkNl7YVP1lHutrimyU ++sTNN384znViHlM4rvtr5AsVtqR3Gi/QFzCmbOwv+EaFtLXGpiHGC1iacP3P +mAYq+PSmvGU5LWA7zMfqz7RQYeNui7rkawtYa/nyV+sOrp+FTOLU0hcw8gWZ +z9q9VGibvbb6+ZcFrPjCsc+UQSpYzkqmaU0sYLSvy9/mRqlw1XhAJpP+F6ve +ItbZOUWF1d8rc5SN/2LhXq8Wqueo0Lrq9tkEx78YhUdXvmSJCh0+g9co1/5i +dr15/+Xw0sB6a+JCUNpfTFf+bEKKEA3+9VlNTH/+i42V587Gi9PgeWdkgMv4 +X6yG8tIthkyDggtLZdW0RSzJ//3YfQYNijn0H4brFjHGduWoGA4Nctr2fE44 +uIg1ORntTpCjwa5hdeANXMRuvN+hnapMgwf8vLWuTxex4xEfV79Qp0FLvxG5 +omoR2yzCY/NOmwY+PxQSVcYWMTr/sbgafRocnyJFBFGXsIiJoxI962jArrZY +6TBawtxbTj37a0YD5Q8iwusdljCG4sI5xiYavL4Qit+7uoRRrAJP6W+jQfku +PvPRlCVMK/B2/L6dNLjeEJu+uXIJwxRj//nu4dbXuygaP7KEaeubxTy2o4Fn +UmnABPkftvuN8MkvB7l4vt9dtcXwHxbBjrq84EKDNG8heqz9P+xFzvkvGsdo +EBSlc3jE/x923t/B8ZAHDST4VTSwJ/+whasD+jFnaPCrb/p6VMU/LNm02qbu +PDe/SFZoz9A/jNLxppjsRwMLe1s7Q9IyFnX71Kk9gTSoteXhvam/jI1vTj8b +E0yD2ICXyc12y9gBXKOqI5QGnWU+ezT8lrHVJR+9NaNo8Gxkj5bf42XMScXC +99IDLj7q3m01H5cxsfTbjdXxNMgXC8DlB5exzm/u0YrJNBD80Zt5jrCCtTKr +cy6n0YBPOFzpk+4KdvNinHZzFg3ct4SYS9muYHRUTl+XRwOp9CF5r0srWKbt +Jtf4QhrkaZQ1lSetYNkHKPJ8JTTAlDUDpMtWMMF6PSuPDzTwzTLT9+5fwd4U +5g38rKCBiyDhxm9BHqS+N2lxezUNJlhT4TQ2D/qtRbqJf6dBa1j3po0aPGiF +XzF8bRMN1FN9ck+b8qAr9X9p+W00oD/Y0pVkzYMuu3+U0uumge2X8e4aZx7E +Z52bUdBPg0U6o3TlLA9SnJ59ZzJKA7Ve+1DdGzxo6EGT08cprj+vuVm5xvAg +D/OH4TbzNHhk1U98+IwHHVwXvLv7Hw2Ce8K6q9/yoNrhmfTz/HSI85Ko56vh +rkebPySK0qH9h9yocScPEn9Ro5xJpENA3w2zs1M86JWMgI0lnQ6rn/J9zxLg +RQ+l98mPSNJB1/9QwW8mL/owbvQgWo4OyedP/lFU50WpyVqFpip0AO/FROf1 +vOj0xZKgIQ06mJ8aevdoJy/6U+DDl6BDB98MSZfOQ7xIvXrM0MaIDo8nvO4p +nuVFi4QKBTFTOhQ1tbu6XedFlO/JVdw/EfAf2d+R9YAXXRldo3vTgg7i863k +6Qxe1IytOmi1kw6n13oImb7lRXszza1pe+nwPZbxNfgrL3praSXesZ8OAwvD +Z+o7eNEgLzEmx4lbz1GcT3GKF2nvcJkJdKXD6JqHIWcF+JDMSyUN+xN0yL+K +s8uZfMjDztTYwIsOl02LiiXV+dCzk3GraOfpwOvz/pLXej7kIG40O3OZDkP3 +ZNyrdvKhtp+k522BdO58tCpa2ZkPzQrp7vh0kw7zAYb8187yITw+q+XVHTow +NXKruq7zoRun4hwy7tLB44/Q9KYYPrQ/RaE+KZYOP2sKwjKe8SF6oeeW2Ed0 ++BWEpZJK+FCIwKvCmKd0yFxYa3Gxhg/tcjXSjMuig4i3SVBfJx+69dok/XEe +HbY2jh3dN82HzifT1mQV0YH9W+RfuSA/WiyW/lT8jg73w7fZmrD5EXr35lx1 +GR0Yypeu5mnwI167g8Y9VXTuvHk+WNOMH7nMX5RerqXDoITyxYxd/Ejt130F +mUY6vPL3Oap2mB/tMDDdidrowHly0j7Lmx+FW/CnHuumQ00v/YjuTX6UdidU +4+4AHW69vRP5JpYf7U6/2lc6RoflUZ6Jrc/50VzKvZ+zf+iQ3Z4e0fieHzXr +hYivWaSDUP1nf/fv/Gh6g0bASV4GjJt9qFzp4UdiPy1NnwszIE106krsLD8a +uFm5eZLAgBfd9TlGogJIuSQyyYTOAI+gUbcmKQE0p/HQ+haHAZM8ja8uawsg +m5AO+xZ5BjxhGWYqbRRAAfjZch1VBly/WLandq8AOmLo/iB0NQPSpa3eX3ET +QMXZfd+H9BlgEZq+qHtRAD3/zvS3NmHAM70KycFQAZRQbpRYiBggUZimmpok +gGQjQ9cqWTBgO+ZgcCRPADk6HrO5t5MBfd9Fdq36KIDubVGbEN3HgOSk/uDR +RgE0UrNO8voBbn37TcOvBwUQk49cx+fCgFV3LofeWhJAfERd+eBjDAiY4r9w +kCSIRoS1RImnGGBQ6frOQFEQnatNjI7zZkC2xvpTFENBtFFVp1TzMgO+eRrH +TlkIopju2MQPgdz4vKp18wFB9Mn0kcbBWwwgs3sSSj0FkeAtyunFcAbonnK+ +nxcgiEhttV6P7jPgmmmmxdO7gqihr8JwWwIDju/oLktME0TZ8xNlM08Y8LF6 +Iye+WBBRM2wVMp4x4EO+pENitSD6l0LcdyiXAY7y9Q9SOwSRTp7ZYakiBpx+ +N/4rd0oQaduz9rS9Y4CIqtjGUkEhtP/mL/UnHxmgsrvxWzNbCN2a7xz3+MKA +fwMKSX80hdCH24GZpnUMkKv8UczAhFCLjLYz5ScDvPZNGpjuEUKkFVfWcAcD +3MfvyR8/KoR0vuc3Vv1mwOHD83difYVQ/ExRavYoA9bv8Ar/FiqEYr/K3nrw +hwGfIjz1CY+EEDnq6c3riwyIrPAP3/VSCPEVSGZe4GNCea5VXky5ENKysJ89 +LcoE/axH2X3NQiiib885TzITOErO941HhFBItaCaF4sJnYToS3dXhNBS9DUp +X1kmhLjYn56mCiOnzqF9N1SYIBmxcMN+lTCKSD3TGqPFBPpyw7dyY2G0kuJQ ++EKfCcqhZw+v2ymMom+vjFSbMOGvoPfOPGdhNDxYHjy+kQkT+Y9TdbyF0WyG +eijLkgkRdZ2XCm8Ko3an17xbdjMhTBrrMY8XRtPrqVMX7JhwfffgREOOMFo6 +OnQk14kJBcU6RadLhZHLUeFDY0eZYPk2xJLcKIx0JTYN63oyIfBg1NuiQe75 +2hDyZW8mSDTzK7j9E0b/eXc2Vl1mwietT3ekKCJI8Jz9VtkgJozl/mY0K4ug +Qxz5Y74hTLBKv/c1fp0ICtl/bmNzFBNsmzSq3HaIoJm2tF9msUzIXKUpY+ws +gpSGlTY/e8wEliFqp3qLoGEZd39OBhPwRTOFPzdFkHajWHTUCyb88FRcbIsX +QTqB+SHEIiYYSDMDv74QQRHCyl5R75nwX6tHZXmZCBpd1LfiVHD5e6T9Lm8S +QczC78rPvjIhQO305NdhEcQ7ySe0oYEJxJzHy79WRJDRWO9ccxuXf7S58ixN +FO3/8pz/Ui8TPtJDfZlqoojZmK6nMMLVo7GDgpmKIsu29eE100xwiWwU8tot +itjB/XLXFplw54fhqWeuomjdFfPJ9fwsQJ9nnIZ9RVHJjmXxJTEW7JhEE4Z3 +RJF7Y9/FUioL3Ae8jW8ni6Ldee2bIzgs+GaotKfvlSiC4IHzhxVZ4ESn7tn+ +WRTJ7ZPlmGqw4Ja5mc3rdlEkvqpwnbQeC+IaG4+tmRZF9l94f/GZsCCLvi3n +hbAYyhg5RZnYyILb2/XMjKXFUOvYzc4eSxZIPT+9ulpHDA1VTu9rt2HBf2vp +D49vEUOO+PmLHfYsoMWeekA8IIY+D0zt73dhQTVT1Pz9KTFUoXZ8ecadBT3+ +mQUXgsTQofk/3uJnWWBItxNZ/5Abf2/8pHqJBY4RNnYi2WIo9fAJPqtrLDAg +SZd0fBBDfqZaOj4hLEiWvmjzoVEMxW8oPpgWzYKkbA+97GExVNNWc7c9jgWW +q80upfCII4Mxqy6ZFBZM3PLenMoQR+R6HRvXLBb0bux6/kJDHDmsezyel8+C +u9djassxcfTKpaNSqIQFZzdNVf7eJ45i020HD39kwRr7e6+oJ7j7PaMdK6pZ +IJfj/tLyqjg6Nm6up9vAgiDXjLbQe+Koy9XMO+UXCzxF62x+PhNHOc5+OjK/ +ueerC9bo4eJIV17eO2mMBdveeNx78EMcST07vUN1jgV6/EeThIbE0Ymi5oqi +FRasRvYe11bEUeHPiYldImxoLbOVEWNIoP5PPs3jZDaIjb/7lqghgepFrENj +JNlgcWdTmhmSQPDmNstCkQ2dRlPvBv+TQLlDh0OXNdiw/o3muicnJZB11oaZ +d/ps2BKWaXgsUAL57Mw+csOUDakoqGldjASa33Cyb98WNhCEV2GsbAlU1uxy +W8uaDVv1ncP5yiRQeXG6k4QdG1Q+O/b/bZZAP0Wvef85xIYwVpYHz7gEev/N +taX3OBtsdhptpAkSkNy96Ue/zrChWtXmlr4UAdHj+RraL7EhP+nlURddAvKz +ibk9EMSGhDjffwkWBFQkP/j1bxgbyIXq3r8dCcjB5fBLxgM23BAuGjPzJiCS +TrKF8SM28E/7R6eEEJAp1TfpaAYb3IS332AlE1Dh4tinuDw2DPbYjsYWEVCU ++eaG5jdseKK2Z1KjhoD+/TfaJPeRDTfPOL7+3EtA5DcxXae/suH2AfKJi4sE +dJiiIVDVyAbjyEvaa6lEJNfy0Uazkw18wyraAupEdL65rO3BIBui7rOjOzEi +OuT7vkh8mg2jG5qCqm2JSM/x9sztJTY07T+2utKTiB7xrH1GEZKEI4dtiuuv +E5HINsnfT0iS8AtL2TMeT0R8yx9wM0lJoCZNKUvlE5GXg8D2bkVJqHE9dNDu +MxG5S88+jNSShA7DByqpXUQ0dG0CthlJwuq/ddm8C0QklRrFvQWSoHClR9GL +TEItCe/GGi0l4YeURv64KgmtfftINnuvJGz0eXwnACOhgz1Zl+84SsJds5Yu +RTsSulH2SMr3mCTw0EQ6G0+R0BrL63TPM5IQefzv64RgEqpLzvHzuCwJWwKV +k7yTSMjUtPTE+RuSMOH36INTIQlFXcubCYmQBPb51bYONSS0Yxg3yIzl8sk3 +jTjxm4R8eq5hP1IkIW5w6HHYMgm1DfSsFs3h4rcS6HQWJ6PxWwpsy9eSwDAg +Um6wyOjDje/Me6WSgA7lL79UIiMF3m7zoWpJyHx89uPQGu66S/wrqyZJMN2s +eUXLlIyMB5Jvve6ShIZx2W2+28io+8Ncg86IJISFT2+o2UdGYfuXiwpmJaFp +26ur2i5k1BDka7mZlwM9t5pVYz3JKNQy7GmHOAc0xU3/I14iI76Gj/3BTA74 +LWmsCg8mo7zDdC0TBQ64Kx8qZt8lI/49jeELmhzwkeXXznlERvs0vmuVG3GA +L7kgxfo5GUX9WKeUuJEDB+uCTf6+JqPwpNyIwB0cuJAtQMsrJ6OU/J2RZ+04 +8NJH3/pcHRnVqcVu8jrMgXyT+4SNHWRU6xNdecmTAy88NM9xRsjIqCVvQ7Qv +B3YHXkxemScjRt1QeWEQB+Iyb76dEKSgc3E5VwbCObDrUV/vKJWC1BrGbqvG +cYD/fPbGOTkKOqIkL+r9lAOFd4NnJVZTuPONqWxNLgcyszPU1phw95tXDhuW +cOt1tP9ztKCgRL9v97I+ceBzU0hC7D4KSrkzZbqmngNGrAzNbhcKMvt6UORD +OwfaLGvr1p6mIE9ynZTLEAcuvTJ+E+dHQfL82QmkWQ48xD+KiYdQ0Emfntxq +XinQvTMzeiuGgpQeil59SJACg7dLd+hPKehlyH/a5ySlQFrvDSPnJQVdb33y ++6CKFHygfcj9Dyio3uP8t/90pUCswiFUvIaCDk7xMpzMpMCDE1lX20pBExOq +7T6WUtByV6ngySAFjTVetU38TwqWPz9yuj5HQQ6/7J/9cJGC79O2vD6CVLTZ +o4xP+pQUWAYdr/amUdEVz9CIc5ek4OV8+USQAhVNJ2/1bw2Wgs7KtY+frKGi +2x77/u69KwXzXocJ382oSMetx/DXIymYeP7lJGkHFfnsmT104bkU/GrsGHc8 +QEV3ye7PFIulQOP0XE3JcSrSm5rZ1FEuBf9qDmJaF6jodInJ4ew6Ll6hPb7P +b1CRue/7tXc6uPyHmS/N7lFRe9vs/JURKVi9a1yl8wkVfdpk3XptQQrazqgT +7+VR0fZ0dUaskDScTFROswcqevF87NcHmjRELdpp6NZSkZiO2Kl/8tJAfGzf +zGmnItdPs8tW2tIwXt03xhylIquzm75kr5cG6TO/s1WWqMi9PY6oZCkNWb2X +bC3EaUjF8rPgc1tpoPWuaPhxaMhZp2psm6s0xNSwTn9UpyHzvyDy94w0qKvl +H5M3pqGQn/R7+FVpqDgi6RC5jYbiSSfqYu9Iw/DsZCR9Pw11bsgVuh0vDTff +7tyTfYyGVP00fO48k4Z3j3MHD1ygoS2yvkfSi6ShOFcqReYmDZGYSeymcmmA +k6zqmQc0pAHkX9I/pIFy9X1+TxoNJdS8++vbzeX/szKzv5CGsp8x3w1PSMNH +hRh+vk809FtO6ozPCpf/vQ1U/SYa6jvsepRJlIFb2+5rXe6noaxSnaEaaRmI +GNqQ2TJHQ4smp20eacrAp+7iXhsROqrs+jJ200QGqhY81nax6WjwQwnrtqUM +bLv4auWWOh0dbQ9XStkvA8++zSRYmtDRl1/nTjYek4GK0lQvJSs6unQscrvS +BRnIVHRsZx6ko9PhYrIhwTLwYdWYlbInHT09JLlF/IEMcPZ7KOy4QkeHjtIV +0p/KwAaVTVXhEXTksPs6w+mVDByWs8gdeUxHW9/p39IplwH7kcotbi/pKHXN +xi7ZBhnomMxYXCyjoy5l3VD1PhlwLD+5NaeBjoy9eKd3z8gAwX1Xon8/HXVU +mt66LygLvM4ul04s0FFiKundHEMWHj65f8BHnIF8QhyFfFfJwtaA9ndJMgz0 +cn1TK3OtLEyf36Lav4aBYtdSX/+wkAU5sqDMLnMGakt4zH65XxbuVaeoNe1j +oH1HNa68cJeFd9rkpqvHGMj59k2Pr5dkIXvy3WvLSwxksLf1hESYLJhd/uhi +eIeBar7m8nsmykJi7LL7pscMJLidXT6eIwvbkjQ9vfO5+d0q0H2QBXI/Rbyq +goF8dxpIONXJQvXgk/6NLQw0YPgBtvfKgmGjfFbHKAMlFTUsOszKgkDvFr4U +XiZysxI5FC0iByqunklhDCaa7toUOcbhxtnvDRPVmWht8rjxmdVysHnFPqjB +jInSZCXFpZAcnL5w08JoDxMdmXtUNLJHDor1BizAjYkyfhyZ/31UDtrg2S7v +y0z0xsk7VOyiHFgJlqzZG8lE47GbDPaHyQFPjiju+JSJnIJb3n57JAeVh/Nb +7r1houaz5EnvfDko/bnTbaGWiZY6PmZs+SQHLvOKO8L6mGjGRfr9plY5+Kh/ +3t96kYkk3YDqNS4H84eqpxCFhaZYUZ/6eOXhrPLa566qLFT5wjlKU0IeWqxT +896YsdDvFZPu20x58DPXpW3ex0JvVx0y5lWQh7Lya4O8J1nIwVGEE60pD0d8 +FGxnAlloUSlW3MxIHrartQbJxbKQSUFlLN9Gedj7UD09MJeFqtvq9vVYyUNV +WtKydCULZSVnfu+wlYfxONv6qQ4WUju3JnPeRR50yr0uCsyz0FjUUX9tT3lI +nwjfvZfMRn+C8sYDfeUhVvbgx041NsLGmFnTQfJQLCa1M2cjG/WyLx+6HiEP +wYJmXu8OsJGdx3CpQbw8vC7h/UDyZqNVff1RgunyQLgr35V2h41Imi8j5l7K +g8sGv8Dr6Wy01SM5WByXB+HjXYczP7BRs8XlbeZf5MFI9bstp42N3uyuy0lo +kgdjw/2ocZaNugJOxEv1ysOV5ml6J0USDZBT5/EJeVh178Yv49WS6KjGaHHI +P3lIKrct6tsmiWrp69v8xBRA4tzqhj5XSXT6aKhbDEsBLF+cCzANlESKbZ4n +WpW5MYP7PCdKosqkGIHtegowJ5QmM/dGEq2PCXDsxRSgO0BezrlZEmm0iGdm +7VQAgWDqN/VZSRQjZKqV7KAABgfcVmzpHCR3549+hbsCtM75xQ/pcdAxTpWc +tK8CKHqLF/TbcJCie5tjarACLFpI+9mc4SDTL7UezvcVQLtq7Q7NKA56Nf+x +zSZVAawvFqX65nHQ8PC53ZfyFaDCYJuOWR0HHQywvdJaqgAXyx5V+E1z0JLB +iO6FOgV4Vnvi9HqGFHqhwN65q1sBqpp8j/qvlUJTjfFVR6cU4OchLY7FASnk +Y/TyTQmfIvAeMjJO9JdC7zd+tbalKcLyx9Tn15OlUF7Vpe8GyorwZGhHMl+F +FJpdPpd9wFARPNvjQ6WHpZDVhbZTn7cqglFZk1YzWRrFcgrLg/crwvB4+8P1 +a6WRdGLEregTimCjd850p5M08vf1LprwU4QtwQq9tGBpZNigcjU1QhFUW5vL +HuRIo+TVT03znihCnsKWq7+apFFeLCeQU6gIPweE9Cd4ZVBjhwKzt0oR2Cd6 +rjRpyaDTT0P5qO2KkEQnRCXsl0F/7JIjMqYUQTzmmZ7lDRm099w/6+fCSlBk +Ag39L2XQ4WJxBUUZJfi2pTQ1qEsGverbZkrSV4IP2/vvqlFk0WzaQcOLlkow +R0/27tkoi3yyVou4OSuBUMR58dJzssghjK7YdkEJFNgpavVpsqjY0d6zO0IJ +XhUNlK1qlUWTZ9Y4BWQogfNmtnQNWQ7ZW3nwvv+gBL/yh1taLeSQzU9zQmqr +Evgljpq5Bsgh3w0H/qyfVYLqSest/m/k0NxsxmIERRkE/rwZ3DArh45E3N2b +tVoZbMgm2V2S8ihOfNAgbrsydHDSn9w1lkcnSy7ynTiuDLjeesaWA/Ko4IyO +l/pNZWh1WXdI2E8eBfytzh1IU4arUak5o0nyKDX3aVbxJ2VIcj9oSSiTR163 +dExzB5Wh9yRPu/+APGLzh/p3S6hANqus156kgH5u/KHsrqsCUReXaPhaBfSI +b3H0kJ0KXE2NHK1xUUAZPwvlfl9RAXmfqpMv7iggKb42LbkMFdjG49kY+lYB +lSiZXdavV4E8ndYv94cV0GELaQcbnlVQvdEkXEhWEeUaKGzIWbMKqKpfM+X3 +KqKFH+fNb7msAtqTExy9UEX0Z8OsttqDVVCaYCgcU6GIfu8NF+39ugouvM29 +8E5QCR2NLQlSFFUF67c7N2hYKiGzyo77h7apQkwj5f3VKCXk8dH+m16YKihm +qrnd7FBCQwtWhvsbVOHw6027MQNlxCCHjJUoqwHL54DLWKQy2lLewIy+rAat +38OJm+aUkZ9Oyhn3VjWo+4/nv+vuKiidpS93ZKs6XDT0juwZUkEGa24sX8TV +QdIprIEQsAoF1XTailtpgLLjKcFNOqqo/F/07tZxDbj2+MumDGE1pHv7ShVW +rAnH6NlKfDLqqNZvTZlviRZ82HFR4FSKBjq31ch8vbo27E24aSm0YTXKO2kh +2GWlA/8DtfMVHQ== + "]]}}, {}, {}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], + LineBox[CompressedData[" +1:eJwt2Xk4VO8XAHD7PjN2M3NlmUqlkJAtTBRSKRSyZckaIVuKVLZIRSmhxRZR +UZSKuEe0UaEvhYTQhlJRyfo78zy/v+b5PPfOuXPPPe95z31G2TPY1puHi4vr +PDcXF+dzcmlRUmo+Af3DmudlHSlQvEXxidYlAh7xzetT0I5hOfzvLxCQbG/B +JYUWyZHZmJRJgOUjpZt0dB2kJ2ik4/Gr2Wdp6JDPok1dJwh44M2nK4NmUZN5 +jyUT4HL+azMT3aHNY7YynoDw0BN/JNBJzrHHOg4T4DTIFy+H1js21RB7kIAf +i2kz8ujRa2HcyyIJ+K/L31safbn1O7stlIAx/qcdDPT2P/5HooMIGJwxWKOI +5ln0kWT5E1BwJ22Acz93zNwXWvYQQCan6nHi+QS8M45wx/P3D8YqoxkZ9ocV +XAgYUg3x4cR7ca+97qkDASKFgQUK6MN9W+ZC7AgolvZqXYxezf9sHXMbOjR+ +dDl6cKVZTKMVAWINRYs48TJt62sDzQn43OOspYK2iNafkTElICuQW2clevrK +HQPSiADvl5L5nHg3nmgc9NMnIM83+zInntu3sgcSOgRwlaukqaHFpVX+1awm +IFvNTYcT75FBvt6eVQT8Y0st4sSL8JA/QFlOQN215J8a6OXHs+5VLyagb3ys +nROvp1zy725FAlqOiRRy4qV1nlwrTBCQOKu8Zw3aeFYoslKWgJsfz8Ry4v1g +Jdx1lsTnO6djsBpdsGlhko9KgP3SjZ+10TtCDmqXCxPAMCXXqqMFs36HOfAT +4NOk+o4Tr6YupIqLm4C9m0+G6qIDh0d/lc4ywUWr+Q8nnoKo7xq7KSbcG85P +1UG3aQ6Gzk4wIfOaA80AfczR9fbVcSZcIpqeaqG147p+WI8y4Vczy1IP/emq +3eqpT0wgJ0Rr16GzX7wKzh9kwstr8wVr0VsmNlVY9TGhjtlEMUTPMx5/n+hm +gvah6kAT9C02W/1SJxPUN+ak6KM9fWuDzNuZsJSb/tEInfw6yLvnBBMEHvo1 +b+fkr6t6rUoyE9pPUQa2oFf1LwjuP8aEuWs6YMP5/aMZZcLRTGidoDbbcur9 +V8+hneFMeJJkm+7AeT5Ti7fmBzPBelXiRzv0s/lAhW8BTJAIu3TZEc3krx7X +82HCzQf/JHdy8iW6AAkeTEjUNWzchSYlLM+0uTDh+pmTnm5oSXqGl7wjE1Tv +C/xxQu9R6NH2s2PCW/vek7vR1UsWC9yxZkL4pKaxC1p4ZeDbhU1MYDvsanFH +l+vOR2exMf9KbgxPNJexxeYhQybcylLI8EHbbUiX19BlwjVL6YNenH5g1f3t +4BomKFU+/uiLntrOIp+oMSGla+PoHrSVw950yRVMmN/+eLs/+pLrHQ+3JUwI +2CNUEsSpJ6+5NWWKTDggXfosAG0aYM73h8mECCV5ejBnvYSc7lwvy4SLdl07 +AtGfI7uKT0owwdWiISeEU6/xAZuWCjEha+dW9f3ovpQqZigvE6KWuXtGojXT +Z0cfzjOg18/0dRg64fzGOqFpBnTBkbko9JuLp07t+M2Ac7K/kyI466Pw7e68 +HwzYdYp+Ixp9qFRJc2yUAVftjZti0a8q/Hn0PjOgeDTf9xBaqbryv/hBBrh7 +BxyMQ+9/OFPU+p4BVb5CupzzHz/aEEl0M+DDm+D1R9EBrW/oVa0MIK9U0uPR +DzsVR+abGfBbVFcqGU3r9au1esKAA09G5hM49Td4O+18AwNqgvl/Hef0qy/T +roMPGfBV6szvJLTAuJmG+n0GKA1UD6eid/1O4zpYxQBDIfLpKU7/mOlsf1zO +AG8r1lAap965FQslyhjQlu78KB291Lfi3is3BqTPS5WWoCv903YGODEgKez1 +1zI0O9B/gt+eAX7N/ttK0S/3mWfk2zBgYlXpqRtop9DFGkZbGfCYv/9pBfpL +GNfLLksGKLyr31jOqe/I9wHhGxjgZHMu9jan/0bXCImzGVBvnkK7hU4/lFV8 +3ZABA64qG6s4/e903LnjdAbM/FZyIzn5vr8tzPQ1HWrZxGgP2rl2lUTfSzos +HtmxqJdzvTrhiujndFhot7d7j46ET1tkHtPBOJ3hNoDmbWwcuQV0aP5BufCB +s3+81PVUrKBDQ3K/zxdO//qgaDN7gg6MDecC/qCjRH6oV2+kg379g6Myu3C9 +LCi8811Phy8PT52QRf+Z3JrMMKKDg2zlAh2tMxKj1aJHhxXtHuEEOrz/en+M +Nh3uZA6lyKOrOnpOqK+mA7SIciuifz0X1htYSYdKNWtFJbQmqTecsYwOKp4e +2Sx0yB3fdLPFdDjyxFpqKTrArf9nGxcdAreHrNJBu1W+ujNaKwcW77NEHNCX +SubcL92TA2qZaLojuvfiKsq2Kjmwy5pZ6Yx2Tk71riyTA3ZqruNutKOLuWx0 +thxM/5Hs9kPbCtRHCUTJQa93rtkh9EanmwbKa+Tg394p7gL0Eo2yAxFqcuAR +oLS7CM3HV1L9fLkcqOtuh2L0o5t5a/YrykFKhNzuG2g2d6Zqo5gchLnlkPfQ +664dZHp/loWPlobSreg1fyymr12UhdkdBukLaMmWDXpzWbLQGnIglMeJAj+v +rI+0OSsLjyRpjvzoW5sMf/1LkYUV8ftfiKLVLqmPWEXJQiboDNDRyzfI9IzZ +yMLwQnu1FlrhzOCD1YKyoGQ3dXYvWs8rrKmDB79vmDe5D22rzdd6YF4GbqqZ +7tqPTn6zdBh+y4CTzwO1aPQPpj/VZlgG3oetW5eMbigc9wxtkAFVTXhbiN5z +d1a08pAM7PYZ6O1HH046KWsfJQNC0p/rhtAXHBSUp/fLwIq4NYWf0S//maw1 +DZCBOA3L4nH0WuN499eOMqBldPj4AlroqfDdXzoy8HtpvZWSMwWud8m6af2Q +hkUBdwy80T4pEdPRo9LwZqf4lD9ayaDjPHyShjvPot7vQ2fmZrRufS8NgZuG +sg6gD7uJrfdrlgZNqythaWjbYe4ll4qkYTyOanEXPTU+9lVglzSE7NybLuqC +6z1vc9LWHdIglPxdUwIdZFPGytwmDdG+tSCLHqz0dVY2l4a1f68vYaFbIgZf +GGpJg6S6xBJ99OWZtxUhFGm459G/1w+9QbAxoqdBCqKeTpu/QN8qC1PSrZOC +B69sb79Gy1svaTl7XwpubNAW70b/zkxU2lohBSLlQ38+ootZli3kRSmQ/Ceq +wOWK+5PxS6WrUVIgnSfWrIN+Ff62JVgNj5+rXV6CNqAfj3yxXApsS8OTytHF +tXrKK5ZIQfaDm2N30XE8OZGDTDzudP11E3p1uovyTiEpEC6rXxhEn73+IdJg +SBIsl10UUnbD9TE4qsyfLQmlhXlzheiFo6uzb2dKgup8/Ph1dLFyhLhbuiQo +XygcrkJPus/PVydLwsiOz98a0Rn94r1+kZKgPr3Zaxjd3Ktz/oWdJDzN4v6r +shvXw9s4kUwqnp9YIFyFHopsOsoWkQT+50kKD9GpssL/xvgloezcEv3H6K6d +Zz5vnJOALUEfTrxFR3QUNf0dlYDxxmW3ZtHl7c8POz+XgKcxm99YumN9vJCa +YCVIwOlPV4S+on03q8yGxknAp/4lVpPo8mY9/oaDEkBJrj63gDZ67iq3O1QC ++ARTHGQ9sJ8/KTHMdZOArdusD21AnwPDBCl9CWDKldoVokXuesnwfRcHq4Xd +ZXs9KWCjHalg91Uc9+Wx6wfQF6qOLysYFgdr8fH6RPSyypv67HfisHPBXTwP +vaHir2vMM3HwPKoX2ImOKz1RPFkgDtXRTgwzL8znpSrdjw7ikKzDBap7sJ8z +nCgJduJgItTWrIeeyuQaYm0Th9NB/cPm6NkTW0+5m4vDqjhuCy80/8HPw++0 +xeGNRd/ji2hZe+LMawlxuJny9p6kN/ZXeYHuuCwaHIy6MSbig/1ayi6h7hQN +NJ/EchHoAyJ5GjOJNEjx81JZiT46pZ8UGU6DRnrE1c3oMx1BWkE2NEi7PRd1 +En0HB2YnURqkswLjpH0p8G+2yFQnjgozm0wKVvvh/t19TuRKJBUklM1vmKKb +7ya9FtpHhf0Hfj7fgc7Z5+fZ60IFpRs8JtFog4GVx+INqCCg2ybRiD7UWNnQ +/hvXieHefU7+FJhLAfa+QArsvMs+dyEA+4PPbaEuzJuMuumqm+hXpgVt63Gd +27iHdzcEcNZnvLuMFe4ztbkRo2jjIIsjD5dRQL1Z8Z7JXsz/9lekyJAYbORV +jxhDc8v1GpfsEoPUz97xDkEUKKv0U7XfLgZ6tbk8oWhb698y/BZiYDNLvZKK +LkikfvPUFoPRlsjV9egNk+xcBZoYkHvj7qnso8Dx9qt/zzWJ4lwZHDGHFk8L +vpWgIQp7jLYXPgqhwP1ls7laKqLw6OlDsQG0R+Px5EF5Uejna86aQ1dO57ux +RUThQ+hGKf1QfL/w7xCbHRaB8eW2RbfRF8z1/cNyROBpcdn20v1Y/9y8LE9+ +EfBbOf6lKhzv99y94luzwrC7JCTtP7TLisCVCxPCcF/7hs0E+oJNp/bFQWGQ +sY5crxVBAYmCEos3pDA4OM3X3EHzmG0JsjooDCFLj2nXR1JgOOHc/TXjQuDT +O2w6dgCPM6yMjn4SApVbIR7i0Xj9m/MNre+FwOX2jmJttEunb0vgCyGYEU0o +jEV3LjXoKy4VApt8kRCJgxR48qSPl9gjBEelAiLYhyhQIrR8G2+3ICy8b7Or +i8X5zuXA3/OtgqAW38Qzgt5T8eyK6hNBqK4aGZY9jNez9/9hUyUIPy2PmoWi +cwrLMvJOCoJ4q2XI8jgKnDJW6zAyFQRTT0Zt3hFcT+Frdh24LgBMeviDmnh8 +3356jFusQAAUHKpMvqO1iP9Kr1wQAIeYCi5WAu6HDWHTTxIFoCW2TisVHUC7 +myvjLgCqeqHerok4j5Tp9lVKC0DRfi5NWjLODwPrvL7F8sOgjOzGglTc3xia +y2+G80N6uMfJXnSzzdJvgXv5ofPyMVm5ExSwbqREjTnyQ5yB81ga2rG4L3VU +ix9q2oXKD6Xh9QKPVH79ygdCwUZPvU/hvDjVyP1pJx9U6xdb7zuD9ah5/8nV +LXzQvvB53W20TMCNE95mfHA6fGXEJDrnXabMx9V84L/rR9OhsxQorPdeMSzK +BzYGIiMnM3G+SxC0GWzghaYJs3Q4T4F34pvz+tR4gXIvKdUjF+cTU995o6W8 +MPJ6i0op2ios3uWSPC90pvmI/kTXdNbSXUR5ofb67cqjF/F6Oasyur/wwPWK +6NjiS9hPl1CPdRTywPe9RmbzV/B9Ubfdq5nBA8uW38/6UoTx/b81rJDgAed8 +yzH9qxg/R1gpRYgH/rYknT2Brpld32vxlxucaJbvNIoxfkPljscd3LDmWLpj +TAnG35y5EU5zQ+7pK9uXllGg281hWTU/N4y8y4x6UIH52UYrdZrlgpnDj84s +uoX5N3mquvCLC6gzQcQxdI2SrrrlABdcezUbueU2BS4Oyur01HCBZpOp16dK +fL4+b0zng7mgqH4iTKMa6/Vd2cO0OwtkVCxRzKjD/D1kQmf+AhnK67w9DV1y +KbVR4fQCaQdNkQvo47sDmm/5L5BSXIIGn+spsHloRVeHwgKZd/9ryUPA9+OR +axPyKfNkjs3Z03FNmP9/xao3XedIBnyT9X+B8Vt83HW2zJEtrm0xQ+gzl1TO +1xnMkVJzCy5uLzFf64u5X8nNkdqevKd2vsL7OX6163v7LLl5+k39pjbMl1xR +0mrzWXKnc079pg6sL538wSr1GTIjMdDtei8FtAU96OsWzZD1036jOu+xP3Ur +WTeJzpCGc1rcDehnMXkPOr5Mk00E8byrjwK6TVfSfxdMkx9qE99SP+D+YnfZ +WFdumqRMZDud+4jrKSQ3p2ZhiiSc//nRxnHeaDgj93JsiswKUlF4gD4pkZrZ +3z1FfiaPJ3n9oIB55YFTfHemyEmfE2E1PynwYGLnMWu/KVI6dKItZBL7d6R4 +wGDbXzJxC12da5oCfjGJ+iIFf8i5NXSNcn4qNL2IqZY//Yc8H9KSFSxABeVF +4VoaMX/IieqDzzUFqdBT56m2w/4P6WZbmHpfiApbF0yUL4v8IW+l0C60ilKx +jqaF1oT9JiOe2RxZIon7VnJw164Nk2Rv6JOifYq4LxWWn2rSnCT7H2ZlmCtR +YUP9tw0aipNkqNEze0VlKqRN7r3NNz1B/ie8Iug/FhUUPPxSKyomyIt09b6N +KlRgG3is4ycmSO3hwvAdalRIGrPNu/XzJ3l47nz+onVUYBUEtlGNx8myKsXs +VNwH19ek5nsS4yQrsOrfCVcquL++tr966jsZmamw/pQbFa7wfJR2q/pOzmUx +ks+5U0Hey3XXzeXfSd4zvDwVe6ggs8R6cLPUN/K3i68FNYgKQsUak8e/jJAx +a4IeHDtMhe+lv+R4z34ic2n8i/2LqEAl46L2Bn0ij7yKOd50lQoaHWJv/7P4 +RLo2+q1WLqFCyLzK+aLZj6TjOrXNfaVUmLB1ljb3+UjqS3k89q2gwtRMo3iK +/jCpkFybeb+GCtzW54RpAx9I3b+5XxxeU2HFcPAfHacecnnvY27gpwH99fPD +vNI9ZD5t+xp7QRoIwGLB9pfd5PP95uXfhGgwmPtWLnB9N/nx3d4TSmI0yLEz +0S9Y3kU6PjQbPydJA7FGagz1byf5RteeBxRp8CP/Jvfns+3kRckNMbKGNAgi +3zBW5zaQ9RPu+b8jaHD857PJNIkGMmjf+uqeKBoULK5t/ZoMZM6vPWsbomlw +g2YiavG1nqyKVTp0JpYGcXltg2oXa0jtndQV5jgHLXk0kTHDXUleu2x0/Vcm +DQZusgX7Kv3Jx/68H/bcpcH8g4srsl+CycJl7rn2aRr0nf0uPeLZYBLLjna1 +nKNBfRCby3CqwcSuPy4bFmhwWHn4TS+r0YR4UmjnzCMO88dXJigdeGzS6nQ0 +y0UQ7VDTV8JqNuFtaNychnPbwvTopne17SbBM3X/ClTQF4QXvoq/MzEqtpJo +wLmwf7I0bcTok0m1ziP50UpxGO6lHV5XPm4y8ctQdkpVAhJXP/uoFz1p0vtq +U/GJSgl4pps2ldQyZaJunDY9xZaE95dDjMwOzZl807khfn5MEjK8V0Vlf+Ni +DzrnpmzB95CHrBKVVEletubnziFTe2loo60Z1/ThZ082t9QbqctATH990ESG +INuiNsLkLa8sSPQ78weOCbNZRR/8mX9lwbhh2nZeQYwdoH7tvw9DchBulReV +Yk5lZ4iXKL/8jw7N3Nd7vK3F2avuirTu72dAcWtSx1lvCXavycBamX4mRN0d +cVqUKcmeb/57dNc/Al58b9+yuE6KPZSiR7yQXARBjBrG2tfS7KaSO5Ph8grA +46IaVjQvw06cdPQyMFGEodO5JYpycmx4HuroslwJLOXSLeRU6ezpgdr2lRVK +UFAtFh6wg8GOrGvwp5sqg6VF6qHmACab5/YHlfIWZWgsrz50NZjJZgmt3CPz +ShmMZYcOHQlnslVnS67FtCmD1kfDmLWHmWyPHnmLzZ3KoBD/LaYgg8m2oMt0 +f+lThon67YcP3meyezODrZb+UobLa+WOqgoQ7LJt39UK6SxgXDY7yi9KsDMO +vDYVJViQyR9ydIBGsNUDpl3DFrEgpePZ0fMMgt1Q/q/YjMWC8P0Hj/GoEewj +qRPHhleyYFP5+/geO4KtWN/jssyEBU0yIgl3HQm2nkPj69PrWWAcuzYh3RW/ +Lx9vPWXGAu0tpxPMfQm22XyQw3NLFiiMsBMrDxLsiZ2G5XttWZBtE5R4Mo5g +n3FZZtuxgwXSD7IT/RIIdudw9cw6BxYIH/+VqHCKYLuqlOymurAgYVwh6d8Z +gh1nPsOIcmPBvP3mpI4sgj1+t7u7350F0fVRSRUXCXab3rorll4s+P//Kezh +bPmA294s+B/eyQz8 + "]]}, + Annotation[#, "Charting`Private`Tag$120727#1"]& ]}, {}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-6.271123276191262, -9.801059382476273}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}, { + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, None}, + GridLinesStyle->Directive[ + GrayLevel[0.5, 0.4]], + ImagePadding->All, + ImageSize->{585., Automatic}, + Method->{"CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + (Part[{{Log, Exp}, {Log, Exp}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Log, Exp}, {Log, Exp}}, 2, 2][#]& )[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + (Part[{{Log, Exp}, {Log, Exp}}, 1, 2][#]& )[ + Part[#, 1]], + (Part[{{Log, Exp}, {Log, Exp}}, 2, 2][#]& )[ + Part[#, 2]]}& )}}, + PlotRange->{{-6.066242635851156, + 7.046118345915609}, {-9.701519868618796, -3.530070009455368}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{ + Charting`ScaledTicks[{Log, Exp}], + Charting`ScaledTicks[{Log, Exp}]}, {{{-4.605170185988091, + FormBox["0.01`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.10\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {4.605170185988092, + FormBox["100", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.2039728043259361`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.916290731874155, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.5108256237659907, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.35667494393873245`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.2231435513142097, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-0.10536051565782628`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {0.6931471805599453, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.0986122886681098`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.791759469228055, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {1.9459101490553132`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.0794415416798357`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.1972245773362196`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.4011973816621555`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.6888794541139363`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.0943445622221, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.248495242049359, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.382026634673881, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {4.499809670330265, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.298317366548036, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.703782474656201, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {5.991464547107982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.396929655216146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.551080335043404, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.684611727667927, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {6.802394763324311, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {7.600902459542082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.006367567650246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.294049640102028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.699514748210191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.85366542803745, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {8.987196820661973, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.104979856318357, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.210340371976184, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.305650551780507, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.392661928770137, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.472704636443673, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.546812608597396, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.615805480084347, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {9.680344001221918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "1.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-7.600902459542082, + FormBox[ + TemplateBox[{"\[Times]", "\"\[Times]\"", "5.`", + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> + SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, + 0.}, { + AbsoluteThickness[0.1]}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-5.298317366548036, + FormBox[ + TagBox[ + InterpretationBox["\"0.005\"", 0.005, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3.}]& ], TraditionalForm], {0.01, 0.}, { + AbsoluteThickness[0.1]}}, {-9.903487552536127, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.721165995742174, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.567015315914915, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.433483923290392, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-9.315700887634009, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-8.517193191416238, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-8.111728083308073, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.824046010856292, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.418580902748128, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.264430222920869, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.1308988302963465`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-7.013115794639964, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-6.214608098422191, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.809142990314028, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.521460917862246, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-5.115995809754082, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.961845129926823, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.8283137373023015`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-4.710530701645918, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.912023005428146, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.506557897319982, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-3.2188758248682006`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.995732273553991, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.8134107167600364`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.659260036932778, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.5257286443082556`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.4079456086518722`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-2.3025850929940455`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.8971199848858813`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.6094379124341003`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}, {-1.3862943611198906`, + FormBox[ + InterpretationBox[ + StyleBox[ + + GraphicsBox[{}, ImageSize -> {0., 0.}, BaselinePosition -> + Baseline], "CacheGraphics" -> False], + Spacer[{0., 0.}]], TraditionalForm], {0.005, 0.}, { + AbsoluteThickness[0.1]}}}}]]], "Output", + CellChangeTimes->{{3.714231218528014*^9, 3.714231255059382*^9}, { + 3.7142313035157547`*^9, 3.714231308612544*^9}, 3.714231351814006*^9, + 3.714235201839225*^9, 3.714235263324795*^9, 3.7142355579614763`*^9, + 3.7142361528419724`*^9, 3.714236603635973*^9, 3.71423707986604*^9, + 3.714237192861849*^9, 3.714237278108419*^9, 3.714239147859034*^9, + 3.7142397145181503`*^9, 3.714244839156539*^9, 3.7142513751048594`*^9, + 3.714251427275505*^9},ExpressionUUID->"909031b9-1dbe-4643-8679-\ +7512124206d6"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{ + 3.7148438297432327`*^9},ExpressionUUID->"441216d9-10ca-4138-8d15-\ +6b5bd78d2681"] +}, Open ]] +}, +Evaluator->"Local 2", +WindowSize->{956, 1056}, +WindowMargins->{{Automatic, 2}, {2, Automatic}}, +FrontEndVersion->"12.1 for Linux x86 (64-bit) (March 14, 2020)", +StyleDefinitions->"Default.nb", +ExpressionUUID->"b2fd20f3-b58c-435f-a54c-a3e11624d03a" +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{} +*) +(*CellTagsIndex +CellTagsIndex->{} +*) +(*NotebookFileOutline +Notebook[{ +Cell[560, 20, 1441, 39, 165, "Input",ExpressionUUID->"e6bac00b-67c3-4bac-913c-1c6897ee0a6e"], +Cell[2004, 61, 3001, 83, 140, "Input",ExpressionUUID->"9c43836c-5224-4a7f-b325-f696ee8f0277"], +Cell[5008, 146, 2153, 53, 167, "Input",ExpressionUUID->"45775c0c-7c10-488f-a001-49135ad61e03"], +Cell[7164, 201, 1137, 29, 98, "Input",ExpressionUUID->"0ed872c5-6e9e-45b4-ad9c-dc67f0919064"], +Cell[8304, 232, 2274, 66, 123, "Input",ExpressionUUID->"e5fe4a94-4de5-4e0b-bd35-c8af6a1467d4"], +Cell[10581, 300, 2009, 53, 119, "Input",ExpressionUUID->"7570c839-807a-4012-9e23-8ff338ddd7c7"], +Cell[CellGroupData[{ +Cell[12615, 357, 209, 4, 30, "Input",ExpressionUUID->"2f35a845-1d68-4a92-afc0-047dc25d0b20"], +Cell[12827, 363, 213, 4, 34, "Output",ExpressionUUID->"906f0aa8-617a-415a-8a4c-3bee9f6d36e1"] +}, Open ]], +Cell[13055, 370, 3033, 77, 100, "Input",ExpressionUUID->"f3040e31-b6c6-4913-92b4-ba715c77419b"], +Cell[16091, 449, 3504, 85, 141, "Input",ExpressionUUID->"496eca64-4a2e-4f3c-b144-ea4b47c003ae"], +Cell[19598, 536, 1993, 50, 79, "Input",ExpressionUUID->"4907121b-0e75-4af6-bb69-7dbbfe7dd69e"], +Cell[21594, 588, 1657, 49, 75, "Input",ExpressionUUID->"20f19d40-8f71-46f8-a318-a0585168eb29"], +Cell[23254, 639, 2190, 65, 96, "Input",ExpressionUUID->"db65edd1-472b-4b73-a7f9-77eb2361c348"], +Cell[25447, 706, 2912, 72, 100, "Input",ExpressionUUID->"f62be0c7-6e67-48ef-9e37-a9f76da76902"], +Cell[28362, 780, 2876, 70, 100, "Input",ExpressionUUID->"085daa7e-fd8a-42b9-b848-b248e2682563"], +Cell[31241, 852, 3926, 106, 229, "Input",ExpressionUUID->"2c0de244-906c-474b-a692-bd5fe702a1b0"], +Cell[35170, 960, 545, 10, 30, "Input",ExpressionUUID->"87e7f061-312b-4959-ac46-377a2821fed8"], +Cell[35718, 972, 1282, 39, 75, "Input",ExpressionUUID->"2d580de8-c541-48c5-9a4e-6c4407a77308"], +Cell[37003, 1013, 1479, 30, 30, "Input",ExpressionUUID->"45314b2b-93af-433f-908d-b9c5e841d5ae"], +Cell[38485, 1045, 1327, 33, 33, "Input",ExpressionUUID->"f0045283-117b-4dab-beb0-8ed0395014f2"], +Cell[39815, 1080, 1061, 28, 33, "Input",ExpressionUUID->"d9b81946-93bc-49d3-8aa9-6881d8e7a6c2"], +Cell[40879, 1110, 1356, 39, 53, "Input",ExpressionUUID->"1e3142c9-8e49-446f-9710-de0e007149a8"], +Cell[42238, 1151, 1398, 38, 53, "Input",ExpressionUUID->"c9283f37-e4be-4bee-9761-f16e98524454"], +Cell[43639, 1191, 394, 11, 30, "Input",ExpressionUUID->"3d90e7b2-01ac-4fa2-9987-994982992f47"], +Cell[CellGroupData[{ +Cell[44058, 1206, 1418, 42, 75, "Input",ExpressionUUID->"49b5dac6-f528-44ec-b7fa-5f5b20f2906f"], +Cell[45479, 1250, 2399, 58, 200, "Output",ExpressionUUID->"7c1eb3ef-9c44-47e8-b4a0-bd23b4299d04"] +}, Open ]], +Cell[CellGroupData[{ +Cell[47915, 1313, 7372, 138, 97, "Input",ExpressionUUID->"bab4ccdf-6e89-4a30-9470-53c4cf8bc661"], +Cell[55290, 1453, 3223, 69, 79, "Output",ExpressionUUID->"0d844847-2434-4cd8-b2ef-5978d1a17f7b"] +}, Open ]], +Cell[CellGroupData[{ +Cell[58550, 1527, 3454, 72, 75, "Input",ExpressionUUID->"5d18036a-1593-48ad-9b4f-438b8c213ae3"], +Cell[62007, 1601, 22876, 387, 245, "Output",ExpressionUUID->"e265534e-16b3-4b42-b52f-abc6cb9a27bc"] +}, Open ]], +Cell[CellGroupData[{ +Cell[84920, 1993, 349, 9, 30, "Input",ExpressionUUID->"7ac3a09e-22d2-4d33-a30e-56639c96b281"], +Cell[85272, 2004, 329, 8, 37, "Output",ExpressionUUID->"0666fbf2-c178-42a8-96df-5be3d772aa08"] +}, Open ]], +Cell[85616, 2015, 1650, 39, 101, "Input",ExpressionUUID->"a3593843-2cda-4b7c-9c4d-15625faf39d3"], +Cell[CellGroupData[{ +Cell[87291, 2058, 2414, 60, 105, "Input",ExpressionUUID->"d7162b7a-39b5-4cf9-83a3-8fc27b76caa8"], +Cell[89708, 2120, 542, 12, 21, "Message",ExpressionUUID->"d4549c8c-60e9-4058-a137-fd3081f75f0a"], +Cell[90253, 2134, 542, 12, 21, "Message",ExpressionUUID->"8784fde4-791e-46fe-8da0-114fe6e20254"], +Cell[90798, 2148, 542, 12, 21, "Message",ExpressionUUID->"3de73729-5a3c-495b-99d0-1fcea3f6fdce"], +Cell[91343, 2162, 510, 11, 21, "Message",ExpressionUUID->"d64718b2-6e3e-439a-adf2-f9c4f0c71924"], +Cell[91856, 2175, 44861, 868, 226, "Output",ExpressionUUID->"2e6af65f-303d-41c4-866c-594215611a6a"] +}, Open ]], +Cell[136732, 3046, 2986, 83, 99, "Input",ExpressionUUID->"1224cd4b-9e85-4d05-a47f-f6cf5830c8e1"], +Cell[139721, 3131, 1011, 29, 30, "Input",ExpressionUUID->"8ce43abc-018c-412b-83e7-2af9ee5f5be5"], +Cell[CellGroupData[{ +Cell[140757, 3164, 920, 22, 53, "Input",ExpressionUUID->"c86358f2-1b75-41aa-8e26-58c351446225"], +Cell[141680, 3188, 22650, 382, 244, "Output",ExpressionUUID->"57b9bb32-1c2a-419b-8f4f-650f22133586"] +}, Open ]], +Cell[CellGroupData[{ +Cell[164367, 3575, 854, 18, 30, "Input",ExpressionUUID->"fb9ac869-e349-4a36-a461-100b1c5f131f"], +Cell[165224, 3595, 2332, 36, 79, "Output",ExpressionUUID->"b4bb264f-9a44-432e-be53-ff83fe56376a"] +}, Open ]], +Cell[CellGroupData[{ +Cell[167593, 3636, 1570, 43, 57, "Input",ExpressionUUID->"a621aee6-557d-4473-a771-6e7479cde10d"], +Cell[169166, 3681, 12325, 274, 327, "Output",ExpressionUUID->"2347fe7b-f08d-4f4d-8617-2ab37c37fbf1"] +}, Open ]], +Cell[CellGroupData[{ +Cell[181528, 3960, 6281, 129, 229, "Input",ExpressionUUID->"9bf870db-226c-48c2-a135-05ec91992349"], +Cell[187812, 4091, 3203, 69, 101, "Output",ExpressionUUID->"0916cd84-2ea6-4028-b3e4-2e4ed95f618b"] +}, Open ]], +Cell[CellGroupData[{ +Cell[191052, 4165, 3453, 72, 119, "Input",ExpressionUUID->"77191d54-4d6c-430f-89ad-4954156f8391"], +Cell[194508, 4239, 22226, 378, 245, "Output",ExpressionUUID->"a4d8a1b3-1676-47d5-8a3c-bac1ff0023a1"] +}, Open ]], +Cell[216749, 4620, 1705, 40, 125, "Input",ExpressionUUID->"2e78eaa4-cb34-44c3-849d-3080bc18abc2"], +Cell[CellGroupData[{ +Cell[218479, 4664, 2464, 61, 199, "Input",ExpressionUUID->"f27fb1c5-7730-4314-9770-da0a9286f08d"], +Cell[220946, 4727, 518, 11, 39, "Message",ExpressionUUID->"be0a34cd-ea6a-4849-8106-96f6200c0c74"], +Cell[221467, 4740, 516, 11, 39, "Message",ExpressionUUID->"072a1b7c-df74-477b-bb09-08068455ecec"], +Cell[221986, 4753, 514, 11, 39, "Message",ExpressionUUID->"1f6c9fc4-edbf-4a7a-8e6d-d6c1bdd0652b"], +Cell[222503, 4766, 484, 10, 21, "Message",ExpressionUUID->"623a39aa-2083-49b9-a919-eebd0f18ba36"], +Cell[222990, 4778, 44211, 859, 226, "Output",ExpressionUUID->"bb4d52a0-9fd9-4de7-a34b-1de89ddbec96"] +}, Open ]], +Cell[267216, 5640, 3038, 84, 169, "Input",ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-5b974a88b162"], +Cell[270257, 5726, 1011, 29, 75, "Input",ExpressionUUID->"7b49aa4d-971d-4f27-8504-e3da44463eae"], +Cell[CellGroupData[{ +Cell[271293, 5759, 920, 22, 75, "Input",ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-42b781072e2d"], +Cell[272216, 5783, 22156, 376, 244, "Output",ExpressionUUID->"2891a233-1c81-42ce-86aa-770ae3746586"] +}, Open ]], +Cell[CellGroupData[{ +Cell[294409, 6164, 906, 19, 30, "Input",ExpressionUUID->"03dc4111-b9dd-47fc-9035-d84fc2a5c657"], +Cell[295318, 6185, 1850, 29, 79, "Output",ExpressionUUID->"99b0d141-27d7-4443-a034-a9c5e4749d44"] +}, Open ]], +Cell[CellGroupData[{ +Cell[297205, 6219, 1521, 42, 57, "Input",ExpressionUUID->"c32f25a4-7a80-4c63-8b1a-2597dcbbcf5f"], +Cell[298729, 6263, 11726, 266, 241, "Output",ExpressionUUID->"20942259-e30f-4d84-b330-ab8e8d50c863"] +}, Open ]], +Cell[CellGroupData[{ +Cell[310492, 6534, 4211, 113, 273, "Input",ExpressionUUID->"1424ff20-6033-4ed3-b705-d151fae88968"], +Cell[314706, 6649, 2230, 57, 123, "Output",ExpressionUUID->"5ddfad8e-fb4d-4242-858a-dd840fa2c101"] +}, Open ]], +Cell[CellGroupData[{ +Cell[316973, 6711, 829, 20, 30, "Input",ExpressionUUID->"1e22c783-e918-412d-aaf2-2c5ac92c2176"], +Cell[317805, 6733, 13451, 236, 236, "Output",ExpressionUUID->"eb16aa56-8279-4a95-bf51-af867f25621c"] +}, Open ]], +Cell[CellGroupData[{ +Cell[331293, 6974, 3720, 76, 119, "Input",ExpressionUUID->"0b11131a-311e-44d4-9df6-6d33baaffe0f"], +Cell[335016, 7052, 20049, 343, 243, "Output",ExpressionUUID->"62ceefde-a886-4aff-85ef-705eb802a0b7"] +}, Open ]], +Cell[355080, 7398, 1731, 40, 125, "Input",ExpressionUUID->"a99c4b04-e2fc-47f6-b2d9-7e135d28c474"], +Cell[CellGroupData[{ +Cell[356836, 7442, 2588, 63, 223, "Input",ExpressionUUID->"4e74b80b-977c-430d-ab65-c2516c21c4d2"], +Cell[359427, 7507, 161735, 3010, 281, "Output",ExpressionUUID->"a568b021-0b13-4609-8127-48338de9ea93"] +}, Open ]], +Cell[521177, 10520, 3064, 84, 169, "Input",ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-5b974a88b162"], +Cell[524244, 10606, 987, 29, 75, "Input",ExpressionUUID->"7b49aa4d-971d-4f27-8504-e3da44463eae"], +Cell[CellGroupData[{ +Cell[525256, 10639, 896, 22, 75, "Input",ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-42b781072e2d"], +Cell[526155, 10663, 98068, 1619, 243, "Output",ExpressionUUID->"300e85a9-cc41-42d8-ac9e-eb9ef1c3c482"] +}, Open ]], +Cell[CellGroupData[{ +Cell[624260, 12287, 971, 20, 30, "Input",ExpressionUUID->"03dc4111-b9dd-47fc-9035-d84fc2a5c657"], +Cell[625234, 12309, 1555, 24, 79, "Output",ExpressionUUID->"bd318a9f-5777-4925-baff-c141194576ff"] +}, Open ]], +Cell[CellGroupData[{ +Cell[626826, 12338, 2453, 67, 150, "Input",ExpressionUUID->"c32f25a4-7a80-4c63-8b1a-2597dcbbcf5f"], +Cell[629282, 12407, 21608, 555, 239, "Output",ExpressionUUID->"aa0a0656-d176-4425-b3ad-99ccbefea91d"] +}, Open ]], +Cell[CellGroupData[{ +Cell[650927, 12967, 4480, 121, 295, "Input",ExpressionUUID->"1424ff20-6033-4ed3-b705-d151fae88968"], +Cell[655410, 13090, 2945, 66, 123, "Output",ExpressionUUID->"5d983926-e91b-411d-bba1-b4469834e1ab"] +}, Open ]], +Cell[CellGroupData[{ +Cell[658392, 13161, 818, 20, 30, "Input",ExpressionUUID->"1e22c783-e918-412d-aaf2-2c5ac92c2176"], +Cell[659213, 13183, 10558, 189, 248, "Output",ExpressionUUID->"304f10da-578f-4a41-a048-1e9da07bdaa2"] +}, Open ]], +Cell[CellGroupData[{ +Cell[669808, 13377, 3774, 77, 119, "Input",ExpressionUUID->"0b11131a-311e-44d4-9df6-6d33baaffe0f"], +Cell[673585, 13456, 20523, 349, 247, "Output",ExpressionUUID->"255e4ad4-fc33-4b6a-8112-794633b30ca4"] +}, Open ]], +Cell[694123, 13808, 1780, 41, 125, "Input",ExpressionUUID->"a99c4b04-e2fc-47f6-b2d9-7e135d28c474"], +Cell[CellGroupData[{ +Cell[695928, 13853, 2541, 62, 223, "Input",ExpressionUUID->"4e74b80b-977c-430d-ab65-c2516c21c4d2"], +Cell[698472, 13917, 280977, 4963, 226, "Output",ExpressionUUID->"2d265d4e-f61a-43f7-afe0-52a0dfede386"] +}, Open ]], +Cell[CellGroupData[{ +Cell[979486, 18885, 1324, 37, 170, "Input",ExpressionUUID->"b31cc2c4-0071-405d-96f0-f0ef64042542"], +Cell[980813, 18924, 266, 4, 57, "Output",ExpressionUUID->"83604bdc-b902-449a-b2e4-d52896659849"] +}, Open ]], +Cell[981094, 18931, 3115, 85, 169, "Input",ExpressionUUID->"d6b8c89a-a3b9-4e30-b7cd-5b974a88b162"], +Cell[984212, 19018, 1066, 30, 75, "Input",ExpressionUUID->"7b49aa4d-971d-4f27-8504-e3da44463eae"], +Cell[CellGroupData[{ +Cell[985303, 19052, 896, 22, 75, "Input",ExpressionUUID->"18b3cc6d-6bb0-45ea-975f-42b781072e2d"], +Cell[986202, 19076, 213233, 3507, 243, "Output",ExpressionUUID->"c6a9111f-474e-4cbf-8d01-a5c476f0cede"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1199472, 22588, 302, 7, 53, "Input",ExpressionUUID->"868f868f-b11e-4966-89ac-1db553015d52"], +Cell[1199777, 22597, 242, 4, 57, "Output",ExpressionUUID->"8b8ac297-f755-4c77-9e64-40d101172181"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1200056, 22606, 941, 20, 30, "Input",ExpressionUUID->"03dc4111-b9dd-47fc-9035-d84fc2a5c657"], +Cell[1201000, 22628, 1467, 24, 79, "Output",ExpressionUUID->"d2b7708c-50c1-4d25-a315-494ca4244635"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1202504, 22657, 2453, 67, 150, "Input",ExpressionUUID->"59c744b1-2ac8-4133-967d-b476939170c1"], +Cell[1204960, 22726, 21638, 556, 239, "Output",ExpressionUUID->"d0537aec-9949-45e5-a2c5-928bc03a5102"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1226635, 23287, 3039, 87, 260, "Input",ExpressionUUID->"d7fe5e98-a9bb-4f8c-8a66-7fc239297903"], +Cell[1229677, 23376, 258, 4, 57, "Output",ExpressionUUID->"eefe2cd0-7c59-4190-9865-636b74d1e4da"] +}, Open ]], +Cell[1229950, 23383, 415, 10, 53, "Input",ExpressionUUID->"580d8b00-dbba-4d06-88e8-a277b6c7ab4b"], +Cell[CellGroupData[{ +Cell[1230390, 23397, 238, 6, 30, "Input",ExpressionUUID->"fe8a02f2-6bdc-4b19-847f-6536d336b5b4"], +Cell[1230631, 23405, 200, 3, 34, "Output",ExpressionUUID->"e083fb63-2b9e-41aa-b7fa-ebeadf276643"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1230868, 23413, 9826, 215, 449, "Input",ExpressionUUID->"749e47d7-430a-4092-a5d4-4bc4d84bed05"], +Cell[1240697, 23630, 2316, 36, 73, "Message",ExpressionUUID->"3998e257-5fe7-4c35-aa11-3d77619c5102"], +Cell[1243016, 23668, 2460, 38, 88, "Message",ExpressionUUID->"2dbd5caa-8bdd-4363-9118-54b4624ba5e4"], +Cell[1245479, 23708, 2307, 34, 73, "Message",ExpressionUUID->"6c94a0e5-f6af-4677-bb35-46e563e376b9"], +Cell[1247789, 23744, 572, 11, 21, "Message",ExpressionUUID->"c7f450df-92f9-47e0-9f47-514e2c98121d"], +Cell[1248364, 23757, 531, 11, 21, "Message",ExpressionUUID->"9aa979c7-0d72-4dca-9874-4dce78630880"], +Cell[1248898, 23770, 430, 9, 21, "Message",ExpressionUUID->"c68e81ee-2178-4539-868a-0f18509ccbbb"], +Cell[1249331, 23781, 430, 9, 21, "Message",ExpressionUUID->"96cfa5ef-529d-491e-a559-bb5a41cd3e57"], +Cell[1249764, 23792, 430, 9, 21, "Message",ExpressionUUID->"c1c01b41-135f-45e4-a861-1108366415ec"], +Cell[1250197, 23803, 573, 11, 21, "Message",ExpressionUUID->"9cd6ff1c-b365-4320-9adf-8f625971cc43"], +Cell[1250773, 23816, 715, 13, 56, "Message",ExpressionUUID->"e3cf87f3-6f61-461e-b9c3-d443802b4f0a"], +Cell[1251491, 23831, 715, 13, 56, "Message",ExpressionUUID->"def08d10-e580-4f50-8fcd-5e3960f5c424"], +Cell[1252209, 23846, 529, 11, 21, "Message",ExpressionUUID->"6d54c954-966b-46ed-b4f2-a9b69e7eced2"], +Cell[1252741, 23859, 529, 11, 21, "Message",ExpressionUUID->"727b0834-a99b-4130-b1b6-56f7771b8c26"], +Cell[1253273, 23872, 572, 11, 21, "Message",ExpressionUUID->"add75f2d-0e4e-4463-963a-da0fbb874ce7"], +Cell[1253848, 23885, 715, 13, 56, "Message",ExpressionUUID->"4191b46e-205e-42d0-b6b8-d7b483ad2ad1"], +Cell[1254566, 23900, 572, 11, 21, "Message",ExpressionUUID->"b0822fc8-c01d-429c-b02e-44a6f86fc63e"], +Cell[1255141, 23913, 552, 11, 42, "Message",ExpressionUUID->"1b77d225-920f-49e3-ac22-1d5b3e685eb9"], +Cell[1255696, 23926, 554, 11, 42, "Message",ExpressionUUID->"15b9701d-93c2-464e-b18d-b684fd91eab4"], +Cell[1256253, 23939, 567, 11, 21, "Message",ExpressionUUID->"60fc7b1d-6b12-4db1-9b21-fe29edec0f26"], +Cell[1256823, 23952, 551, 11, 42, "Message",ExpressionUUID->"bde27475-95ce-4829-87be-e9a3efadbf66"], +Cell[1257377, 23965, 568, 11, 21, "Message",ExpressionUUID->"cb74fd21-9bbc-46e6-9545-b0a68e5c782a"], +Cell[1257948, 23978, 971, 17, 54, "Message",ExpressionUUID->"f7a890bd-31d8-4666-9550-6e66c4f800a6"], +Cell[1258922, 23997, 539, 11, 21, "Message",ExpressionUUID->"698cff4f-f5bf-4b7e-9214-fc21a508fac0"], +Cell[1259464, 24010, 572, 11, 21, "Message",ExpressionUUID->"68b82b47-f33b-4fc6-bd9d-44a40e6252c0"], +Cell[1260039, 24023, 3018, 45, 141, "Message",ExpressionUUID->"e0449f5c-8dc6-4c49-9a3c-0511be176418"], +Cell[1263060, 24070, 2982, 45, 141, "Message",ExpressionUUID->"273bfde0-f6a5-4aad-a38c-b9cb9dbd8a9c"], +Cell[1266045, 24117, 611, 12, 40, "Message",ExpressionUUID->"7b92f605-d5f0-42fa-a932-40ebc1b15631"], +Cell[1266659, 24131, 3294, 52, 155, "Message",ExpressionUUID->"f27f5887-413c-4956-bdb4-c0528c0bca2e"], +Cell[1269956, 24185, 572, 11, 21, "Message",ExpressionUUID->"400e9a3a-740d-4d24-9659-9dbc7da3b1af"], +Cell[1270531, 24198, 486, 10, 21, "Message",ExpressionUUID->"55b36c47-ecc2-4c68-9a66-af03015d08c6"], +Cell[1271020, 24210, 7648, 189, 343, "Output",ExpressionUUID->"496f55da-cf1b-43f9-abc2-b6964714c052"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1278705, 24404, 870, 21, 30, "Input",ExpressionUUID->"d018ad21-fffb-496d-9b63-92b47b76f971"], +Cell[1279578, 24427, 18947, 326, 236, "Output",ExpressionUUID->"ac168f40-d42f-4585-9287-a0c0f4d93387"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1298562, 24758, 3824, 78, 119, "Input",ExpressionUUID->"0418a172-876c-44f0-8094-2296a231ceab"], +Cell[1302389, 24838, 18668, 317, 241, "Output",ExpressionUUID->"a2dfcb75-9aac-406c-a962-a55ac7febb16"] +}, Open ]], +Cell[1321072, 25158, 1826, 41, 125, "Input",ExpressionUUID->"dc24c8de-c6cd-4011-9dd2-d36a2f23cfc0"], +Cell[CellGroupData[{ +Cell[1322923, 25203, 2591, 63, 223, "Input",ExpressionUUID->"b7dbaa72-3f91-4361-aa01-a3603614dd88"], +Cell[1325517, 25268, 183687, 3369, 226, "Output",ExpressionUUID->"95fad0d9-e87e-4dbd-a919-d85a7ee0e094"] +}, Open ]], +Cell[1509219, 28640, 3161, 85, 169, "Input",ExpressionUUID->"2cf6115d-8cca-4ee2-9d15-f4ceceb97b9b"], +Cell[1512383, 28727, 1066, 30, 75, "Input",ExpressionUUID->"c84fcbd6-3024-4388-a961-e23b7e578b9c"], +Cell[CellGroupData[{ +Cell[1513474, 28761, 896, 22, 75, "Input",ExpressionUUID->"ec94aba2-5c61-49fc-9331-b56fb1d048da"], +Cell[1514373, 28785, 40784, 680, 243, "Output",ExpressionUUID->"933e28d1-e34e-4e16-89a1-4656da42864c"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1555194, 29470, 941, 20, 30, "Input",ExpressionUUID->"fb86b424-08dd-4baf-9562-e5b8d4ec323b"], +Cell[1556138, 29492, 1467, 24, 79, "Output",ExpressionUUID->"44782a02-5271-4bc7-9275-b1540d0b4258"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1557642, 29521, 2453, 67, 150, "Input",ExpressionUUID->"69d62d68-7fdd-46ba-81c1-2557d5f15b9b"], +Cell[1560098, 29590, 21638, 556, 239, "Output",ExpressionUUID->"7fbef6a1-c950-4338-b8ec-fe94a3c48319"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1581773, 30151, 8245, 182, 405, "Input",ExpressionUUID->"d925adb4-6a15-4826-83d0-236ea788ed9c"], +Cell[1590021, 30335, 2761, 43, 124, "Message",ExpressionUUID->"8c43e34b-8f4e-4ac9-81f0-ed517a9367c9"], +Cell[1592785, 30380, 343, 8, 21, "Message",ExpressionUUID->"5483f57b-5c1b-429b-aa73-0d21b1ddd067"], +Cell[1593131, 30390, 628, 12, 56, "Message",ExpressionUUID->"9de85a95-7c55-4330-ba76-c48b72848c3c"], +Cell[1593762, 30404, 626, 12, 56, "Message",ExpressionUUID->"36caa8bb-31d8-4dd1-8733-ef352b032907"], +Cell[1594391, 30418, 626, 12, 56, "Message",ExpressionUUID->"0d399fd2-8cff-45c0-92e9-320a987dc2e4"], +Cell[1595020, 30432, 483, 10, 21, "Message",ExpressionUUID->"37b4778e-d9e1-468c-a3df-4c0e993fbd3e"], +Cell[1595506, 30444, 341, 8, 21, "Message",ExpressionUUID->"b28d6217-aaa4-4196-ac2f-065c37321554"], +Cell[1595850, 30454, 442, 10, 21, "Message",ExpressionUUID->"e53fefde-bb74-4407-9553-cd85770a698b"], +Cell[1596295, 30466, 1999, 31, 90, "Message",ExpressionUUID->"61d0eab0-468a-4ea5-a52e-5f47648550e8"], +Cell[1598297, 30499, 440, 10, 21, "Message",ExpressionUUID->"b040ce96-6cbd-413a-a25e-fc8a3b30f4ea"], +Cell[1598740, 30511, 341, 8, 21, "Message",ExpressionUUID->"9a9d3e52-65a4-4faf-9362-c879d35a02d6"], +Cell[1599084, 30521, 482, 10, 21, "Message",ExpressionUUID->"c14f35d6-8970-4cc9-84c4-1e909d66a7f7"], +Cell[1599569, 30533, 2762, 45, 107, "Message",ExpressionUUID->"fd1b47b6-42e8-41d2-8542-9ad5dd2a03a7"], +Cell[1602334, 30580, 483, 10, 21, "Message",ExpressionUUID->"2fc6b7dc-735e-4183-9ab3-3aa8092c7755"], +Cell[1602820, 30592, 442, 10, 21, "Message",ExpressionUUID->"20fc773e-226c-480e-95de-1e37ddadc92a"], +Cell[1603265, 30604, 485, 10, 21, "Message",ExpressionUUID->"1b119a84-2438-4977-9678-fee356fe2ae3"], +Cell[1603753, 30616, 3208, 71, 123, "Output",ExpressionUUID->"136df65c-3c77-4321-8697-6401d48427e1"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1606998, 30692, 973, 25, 53, "Input",ExpressionUUID->"b2086eae-002c-4cce-bb80-48583f67dba1"], +Cell[1607974, 30719, 15809, 276, 229, "Output",ExpressionUUID->"feec8822-a988-47e4-8451-d6f4a893bbcd"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1623820, 31000, 4064, 88, 163, "Input",ExpressionUUID->"bfa3c678-8025-4645-af6c-b159053283a4"], +Cell[1627887, 31090, 20783, 353, 247, "Output",ExpressionUUID->"8ef3a19f-fb76-4c9f-9b6f-4672a4e3adde"] +}, Open ]], +Cell[1648685, 31446, 1808, 43, 125, "Input",ExpressionUUID->"c6994e22-3609-40e6-bbd3-076a72ad4e94"], +Cell[CellGroupData[{ +Cell[1650518, 31493, 2627, 65, 223, "Input",ExpressionUUID->"f483ed04-30ff-4b05-80f2-5aa4286846f7"], +Cell[1653148, 31560, 79868, 1667, 226, "Output",ExpressionUUID->"55aba01f-f152-430d-832e-7b26dcddfb53"] +}, Open ]], +Cell[1733031, 33230, 3201, 88, 191, "Input",ExpressionUUID->"c40a6c10-5f63-40f3-8998-0a1a3cc98be6"], +Cell[1736235, 33320, 987, 29, 75, "Input",ExpressionUUID->"295b6c01-580d-4c0e-8525-e1e5070953a9"], +Cell[CellGroupData[{ +Cell[1737247, 33353, 896, 22, 75, "Input",ExpressionUUID->"beea81e5-3cf3-4500-a917-ee5f1c9cacb7"], +Cell[1738146, 33377, 32707, 548, 243, "Output",ExpressionUUID->"1294212e-2d8f-4df4-b167-bcb38ead822f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1770890, 33930, 798, 17, 30, "Input",ExpressionUUID->"ab7af098-bc8c-48d0-8604-0c9a0bafab8c"], +Cell[1771691, 33949, 1238, 22, 82, "Output",ExpressionUUID->"b13e82e2-4e35-4917-aac5-af2777b2bbaa"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1772966, 33976, 1276, 33, 97, "Input",ExpressionUUID->"c3a7c24d-ed73-4c46-9676-f0adcf51eea4"], +Cell[1774245, 34011, 1107, 20, 57, "Output",ExpressionUUID->"f37cba55-20e1-4f5c-b3e7-757ebfbcc784"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1775389, 34036, 1444, 41, 57, "Input",ExpressionUUID->"4c3c02a3-3243-4ffb-8eb6-cbb97d8515f0"], +Cell[1776836, 34079, 12922, 323, 239, "Output",ExpressionUUID->"8287c860-f5f4-4d56-a642-91d5d5a5d4e2"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1789795, 34407, 3398, 88, 185, "Input",ExpressionUUID->"f04e4a35-a6d1-49b2-80f5-1d47bf0a3a8c"], +Cell[1793196, 34497, 2532, 60, 101, "Output",ExpressionUUID->"d4e0a3b8-540b-4799-bd2d-fd3769faf6ae"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1795765, 34562, 3337, 65, 97, "Input",ExpressionUUID->"67e93b6d-ca85-46c3-804d-77285706e361"], +Cell[1799105, 34629, 15233, 264, 248, "Output",ExpressionUUID->"fdcb284f-f0ff-4606-86e2-59cb14f49d1b"] +}, Open ]], +Cell[1814353, 34896, 1545, 36, 101, "Input",ExpressionUUID->"42364ffb-0801-4068-92dd-1dd2ca0a5191"], +Cell[CellGroupData[{ +Cell[1815923, 34936, 459, 13, 30, "Input",ExpressionUUID->"bf674d0d-af90-450c-adb1-9d99c2cffb88"], +Cell[1816385, 34951, 8839, 163, 234, "Output",ExpressionUUID->"0b7343a7-4703-45e1-bb16-5b27ce9853a2"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1825261, 35119, 2342, 58, 201, "Input",ExpressionUUID->"92ae3154-3f46-4e0a-9f1a-48944528c3ca"], +Cell[1827606, 35179, 61815, 1373, 275, "Output",ExpressionUUID->"46c82dd0-fcf2-4632-8973-562e13d0e484"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1889458, 36557, 3675, 94, 185, "Input",ExpressionUUID->"6b6accaa-50e0-41cb-9db0-89293eff950f"], +Cell[1893136, 36653, 1288, 21, 39, "Message",ExpressionUUID->"ec208c9a-02d4-4b8b-9777-36402562a2c4"], +Cell[1894427, 36676, 2875, 65, 101, "Output",ExpressionUUID->"8f7fc702-8ddb-4ba1-b8d4-f00939660c77"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1897339, 36746, 6293, 123, 185, "Input",ExpressionUUID->"64347503-3722-48ed-946f-0fe086f9b2aa"], +Cell[1903635, 36871, 4388, 75, 79, "Output",ExpressionUUID->"998aba92-e9ec-40f6-8038-e57794445458"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1908060, 36951, 558, 14, 30, "Input",ExpressionUUID->"f9e92c1f-29bb-470e-93c6-47064124681e"], +Cell[1908621, 36967, 9059, 167, 236, "Output",ExpressionUUID->"3d9384ea-ccac-42c5-a146-9ae6ec18f20e"] +}, Open ]], +Cell[CellGroupData[{ +Cell[1917717, 37139, 3216, 64, 97, "Input",ExpressionUUID->"7ed4723b-aedb-4249-9052-891730eaf170"], +Cell[1920936, 37205, 20080, 344, 241, "Output",ExpressionUUID->"fc4ed91d-cbdc-4718-9cc8-1757c326a4d2"] +}, Open ]], +Cell[1941031, 37552, 1461, 34, 101, "Input",ExpressionUUID->"9bc0b24b-d892-4dd0-ada6-79e5b7a1ea96"], +Cell[CellGroupData[{ +Cell[1942517, 37590, 2311, 57, 201, "Input",ExpressionUUID->"ea63eb69-ef26-4a44-bf85-07d42352682b"], +Cell[1944831, 37649, 382, 9, 42, "Message",ExpressionUUID->"ddb2d83a-896c-4717-a699-a438f795e8c4"], +Cell[1945216, 37660, 353, 8, 40, "Message",ExpressionUUID->"318b87b8-513b-49c4-b379-c4c23ae6a44d"], +Cell[1945572, 37670, 391, 9, 25, "Message",ExpressionUUID->"25e19bf0-5ae4-4c26-887e-2712609a2e14"], +Cell[1945966, 37681, 353, 8, 40, "Message",ExpressionUUID->"2339f608-6b9d-464c-afca-fca4376dc19e"], +Cell[1946322, 37691, 429, 9, 21, "Message",ExpressionUUID->"d5f31e07-342e-47ba-af6f-5ac44d0a58ee"], +Cell[1946754, 37702, 62900, 1339, 367, "Output",ExpressionUUID->"afb96508-be7c-49f4-b55e-a45bc622f935"] +}, Open ]], +Cell[CellGroupData[{ +Cell[2009691, 39046, 203, 5, 30, "Input",ExpressionUUID->"54b9db9b-8a0f-4f10-962a-2c5babd741fa"], +Cell[2009897, 39053, 246, 6, 34, "Output",ExpressionUUID->"75403a79-a241-4d19-a93d-d29e4b6c034f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[2010180, 39064, 5925, 111, 163, "Input",ExpressionUUID->"a5e8390e-22b0-4b69-b3d3-f56410148658"], +Cell[2016108, 39177, 537, 11, 21, "Message",ExpressionUUID->"3d753f0d-3cf1-43ee-ab31-933bb47c49db"], +Cell[2016648, 39190, 4672, 79, 79, "Output",ExpressionUUID->"c02cf6ac-ef5d-4995-a66b-030ed27396ef"] +}, Open ]], +Cell[CellGroupData[{ +Cell[2021357, 39274, 609, 15, 30, "Input",ExpressionUUID->"9d7a4bf8-fd51-4488-ba75-da6bee3a1bbc"], +Cell[2021969, 39291, 13856, 241, 237, "Output",ExpressionUUID->"05aee478-87cb-4cc2-bc37-c370810aa422"] +}, Open ]], +Cell[CellGroupData[{ +Cell[2035862, 39537, 3316, 65, 97, "Input",ExpressionUUID->"d0279beb-3b48-4eba-8c2e-59ae3a41c953"], +Cell[2039181, 39604, 19940, 337, 241, "Output",ExpressionUUID->"f2620fc7-d2dc-45c6-adcf-c6fb476d42f2"] +}, Open ]], +Cell[2059136, 39944, 1507, 34, 101, "Input",ExpressionUUID->"ab510bee-7694-41ca-9a57-3fdd81f464df"], +Cell[CellGroupData[{ +Cell[2060668, 39982, 2353, 57, 201, "Input",ExpressionUUID->"337e406c-fd78-431f-ada0-8e3d6f16ba5c"], +Cell[2063024, 40041, 69498, 1447, 367, "Output",ExpressionUUID->"909031b9-1dbe-4643-8679-7512124206d6"], +Cell[2132525, 41490, 139, 3, 34, "Output",ExpressionUUID->"441216d9-10ca-4138-8d15-6b5bd78d2681"] +}, Open ]] +} +] +*) + -- cgit v1.2.3-54-g00ecf