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. --- 3d_ising.nb | 17597 ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 17597 insertions(+) create mode 100644 3d_ising.nb (limited to '3d_ising.nb') diff --git a/3d_ising.nb b/3d_ising.nb new file mode 100644 index 0000000..c7a36f2 --- /dev/null +++ b/3d_ising.nb @@ -0,0 +1,17597 @@ +(* Content-type: application/vnd.wolfram.mathematica *) + +(*** Wolfram Notebook File ***) +(* http://www.wolfram.com/nb *) + +(* CreatedBy='Mathematica 12.1' *) + +(*CacheID: 234*) +(* Internal cache information: +NotebookFileLineBreakTest +NotebookFileLineBreakTest +NotebookDataPosition[ 158, 7] +NotebookDataLength[ 898100, 17589] +NotebookOptionsPosition[ 876468, 17257] +NotebookOutlinePosition[ 876858, 17273] +CellTagsIndexPosition[ 876815, 17270] +WindowFrame->Normal*) + +(* Beginning of Notebook Content *) +Notebook[{ +Cell[BoxData[ + RowBox[{ + RowBox[{"b", "[", "d_", "]"}], ":=", + RowBox[{"Piecewise", "[", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "7"}], "/", "3"}], ",", + RowBox[{"d", "\[Equal]", "3"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", + RowBox[{"(", + RowBox[{"d", "-", "3"}], ")"}]}], + RowBox[{"d", "/", "2"}]}], ",", "True"}], "}"}]}], "}"}], + "]"}]}]], "Input", + CellChangeTimes->{{3.7976897638770247`*^9, 3.7976897931565943`*^9}, { + 3.797689934139001*^9, 3.7976899367766867`*^9}, 3.799156835035874*^9}, + CellLabel->"In[22]:=",ExpressionUUID->"82258ef3-9786-4e81-9eb9-23ffb434650c"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"imF", "[", + RowBox[{"d_", ",", "c_", ",", "a_", ",", + RowBox[{"m_", ":", "1"}]}], "]"}], "[", "X_", "]"}], ":=", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"X", "+", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"c", " ", "X"}], ")"}], + RowBox[{"m", " ", + RowBox[{"a", "/", + RowBox[{"b", "[", "d", "]"}]}]}]]}], ")"}], + RowBox[{ + RowBox[{"b", "[", "d", "]"}], "/", "m"}]], + SuperscriptBox["\[ExponentialE]", + RowBox[{ + RowBox[{"-", "1"}], "/", + SuperscriptBox["X", + RowBox[{"d", "-", "1"}]]}]]}]}]], "Input", + CellChangeTimes->{{3.797689722559431*^9, 3.7976897550604153`*^9}, { + 3.797689797413081*^9, 3.797689812332975*^9}, {3.797689883415086*^9, + 3.79768990502985*^9}, {3.799175009706616*^9, 3.799175049654975*^9}, { + 3.799175325847249*^9, 3.799175335314693*^9}, {3.7991785394047737`*^9, + 3.799178540370944*^9}, {3.799189638175411*^9, 3.79918966552033*^9}, + 3.799190225410571*^9, {3.799191836711349*^9, 3.799191880119375*^9}, + 3.799192374609405*^9, 3.799192837313983*^9, {3.79919335196389*^9, + 3.799193352170311*^9}, {3.799193956159371*^9, 3.799193959559*^9}, { + 3.799195487419174*^9, 3.799195517388568*^9}, 3.7991955644924393`*^9, + 3.799195663046866*^9, {3.7991961391095657`*^9, 3.799196164510016*^9}, { + 3.799196454844182*^9, 3.799196466015071*^9}, {3.799196530973658*^9, + 3.799196535660681*^9}, {3.7991966787280407`*^9, 3.79919668145502*^9}, { + 3.7991968073462143`*^9, 3.7991969956928463`*^9}, {3.799197088623143*^9, + 3.799197097566362*^9}, {3.799260438985899*^9, 3.79926045869732*^9}, { + 3.799264738617695*^9, 3.7992647394486923`*^9}, {3.799273093197462*^9, + 3.799273111141912*^9}, {3.799275054254321*^9, 3.799275063542521*^9}, { + 3.799276395554797*^9, 3.799276428258604*^9}, 3.799279033127264*^9, { + 3.799279095032194*^9, 3.7992790981353703`*^9}, {3.7992791883859797`*^9, + 3.7992792122814407`*^9}, {3.799279920035228*^9, 3.7992799361224537`*^9}, { + 3.799280077655456*^9, 3.7992800778535347`*^9}, {3.7992802509623833`*^9, + 3.7992802514332657`*^9}, {3.799280693699781*^9, 3.799280725115251*^9}, { + 3.799282153357273*^9, 3.799282170349152*^9}, {3.799282362617609*^9, + 3.799282371240369*^9}}, + CellLabel-> + "In[1053]:=",ExpressionUUID->"4e85b330-c6d0-441a-b9ab-33c4fb946885"], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "imF", "]"}]], "Input", + CellChangeTimes->{{3.799279213548245*^9, 3.799279217720868*^9}}, + CellLabel-> + "In[1052]:=",ExpressionUUID->"d642ee14-edd2-4f32-884a-8e6d16ad9042"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"V", "[", "d_", "]"}], ":=", + FractionBox[ + SuperscriptBox["\[Pi]", + RowBox[{"d", "/", "2"}]], + RowBox[{"Gamma", "[", + RowBox[{ + RowBox[{"d", "/", "2"}], "+", "1"}], "]"}]]}]], "Input", + CellChangeTimes->{{3.79926383535338*^9, 3.7992638825575237`*^9}}, + CellLabel-> + "In[707]:=",ExpressionUUID->"da98e2d0-3053-459a-aae4-74eba9aba312"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"S", "[", "d_", "]"}], ":=", + FractionBox[ + RowBox[{"2", + SuperscriptBox[ + RowBox[{"\[Pi]", " "}], + RowBox[{"d", "/", "2"}]]}], + RowBox[{"Gamma", "[", + RowBox[{"d", "/", "2"}], "]"}]]}]], "Input", + CellChangeTimes->{{3.7992639090993633`*^9, 3.79926393860299*^9}}, + CellLabel-> + "In[708]:=",ExpressionUUID->"f626d5f0-6e81-49a0-be96-023721aa88c6"], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "\[ScriptCapitalF]D", "]"}]], "Input", + CellChangeTimes->{{3.799275408542018*^9, 3.799275416899069*^9}, { + 3.799275983372347*^9, 3.799275984515163*^9}}, + CellLabel-> + "In[870]:=",ExpressionUUID->"e4bb0f34-88b3-4b5d-baa2-b4df36d9d986"], + +Cell[BoxData[ + RowBox[{"ClearAll", "[", "B", "]"}]], "Input", + CellChangeTimes->{{3.799264760862775*^9, 3.7992647670730743`*^9}}, + CellLabel-> + "In[710]:=",ExpressionUUID->"05e1c49c-4b48-44c7-b8ec-f4e8da2d8537"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"B", "[", + RowBox[{"\[ScriptCapitalM]_", ",", "\[ScriptCapitalS]_"}], "]"}], "[", + "d_", "]"}], ":=", + RowBox[{ + FractionBox[ + RowBox[{"2", " ", + RowBox[{"V", "[", "d", "]"}], " ", "\[ScriptCapitalM]"}], + RowBox[{"d", "-", "1"}]], + SuperscriptBox[ + RowBox[{"(", + FractionBox["d", + RowBox[{ + RowBox[{"S", "[", "d", "]"}], " ", "\[ScriptCapitalS]"}]], ")"}], + RowBox[{"d", "/", + RowBox[{"(", + RowBox[{"d", "-", "1"}], ")"}]}]]}]}]], "Input", + CellChangeTimes->{{3.79926368830357*^9, 3.799263698695478*^9}, { + 3.799263954042904*^9, 3.799263992812086*^9}, {3.799264753049623*^9, + 3.799264760185117*^9}}, + CellLabel-> + "In[711]:=",ExpressionUUID->"b4e21948-5878-4ca8-a70d-e15e506e21d7"], + +Cell[BoxData[ + RowBox[{"Needs", "[", "\"\\"", "]"}]], "Input", + CellChangeTimes->{{3.799180100794139*^9, 3.799180129328039*^9}}, + CellLabel->"In[31]:=",ExpressionUUID->"4384315f-9759-420b-b9e1-734fdddd0405"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{"D_", ",", + RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",", "c_", ",", "a_", ",", + RowBox[{"n_", ":", "0"}], ",", + RowBox[{"m_", ":", + RowBox[{"1", "?", "NumericQ"}]}]}], "]"}], "[", + RowBox[{"X_", "?", "NumericQ"}], "]"}], ":=", + RowBox[{ + FractionBox[ + RowBox[{"A", " ", + RowBox[{"n", "!"}]}], "\[Pi]"], + RowBox[{"NIntegrate", "[", + RowBox[{ + FractionBox[ + RowBox[{ + RowBox[{"imF", "[", + RowBox[{"D", ",", "c", ",", "a", ",", "m"}], "]"}], "[", + RowBox[{"B", " ", "Xp"}], "]"}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"Xp", "+", "X"}], ")"}], + RowBox[{"1", "+", "n"}]]], ",", + RowBox[{"{", + RowBox[{"Xp", ",", "0", ",", "\[Infinity]"}], "}"}], ",", + RowBox[{"MaxRecursion", "\[Rule]", "20"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "30"}]}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.7991803044973507`*^9, 3.799180367948954*^9}, + 3.7991804107186823`*^9, {3.799180481744094*^9, 3.799180483919141*^9}, { + 3.7991807328602657`*^9, 3.799180734087232*^9}, {3.799180884846156*^9, + 3.799180919686625*^9}, {3.79918122521268*^9, 3.799181226484048*^9}, { + 3.7991819518233957`*^9, 3.799181962456498*^9}, {3.7992747697133904`*^9, + 3.799274780881023*^9}, {3.79927523300208*^9, 3.799275243512928*^9}, { + 3.799276468531755*^9, 3.79927647526742*^9}, {3.799278993246319*^9, + 3.799278998997725*^9}, {3.7992835929907*^9, 3.7992836056701813`*^9}}, + CellLabel-> + "In[1107]:=",ExpressionUUID->"9315b6d6-051d-40f9-b30f-b02bb6592851"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"D_", ",", + RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",", + RowBox[{"c_", "?", "NumericQ"}], ",", "a_", ",", "n_", ",", + RowBox[{"m_", ":", + RowBox[{"1", "?", "NumericQ"}]}]}], "]"}], ":=", + RowBox[{ + FractionBox[ + RowBox[{"A", " ", + RowBox[{"FactorialPower", "[", + RowBox[{ + RowBox[{"-", "1"}], ",", "n"}], "]"}]}], "\[Pi]"], + RowBox[{"NIntegrate", "[", + RowBox[{ + FractionBox[ + RowBox[{ + RowBox[{"imF", "[", + RowBox[{"D", ",", " ", "c", " ", ",", "a", ",", "m"}], "]"}], "[", + RowBox[{"B", " ", "Xp"}], "]"}], + SuperscriptBox[ + RowBox[{"(", "Xp", ")"}], + RowBox[{"1", "+", "n"}]]], ",", + RowBox[{"{", + RowBox[{"Xp", ",", "0", ",", "\[Infinity]"}], "}"}], ",", + RowBox[{"MaxRecursion", "\[Rule]", "20"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "30"}]}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.799180682927021*^9, 3.799180760859908*^9}, { + 3.7991807919083643`*^9, 3.799180799086494*^9}, {3.799180841030613*^9, + 3.79918085250185*^9}, {3.799180900135333*^9, 3.799180923207052*^9}, { + 3.79918118917216*^9, 3.799181202915661*^9}, {3.799181560529375*^9, + 3.799181560680744*^9}, {3.799275958659692*^9, 3.799275977435281*^9}, { + 3.799276480219939*^9, 3.799276485507596*^9}, {3.799279007070362*^9, + 3.799279008693844*^9}, {3.799283613775024*^9, 3.799283616814293*^9}}, + CellLabel-> + "In[1108]:=",ExpressionUUID->"e966b438-a404-4e3d-8cce-cc3cb0fb75c2"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalF]Dinf", "[", + RowBox[{"D_", ",", + RowBox[{"A_", "?", "NumericQ"}], ",", "B_", ",", "\[Alpha]_", ",", "rx_", + ",", "ix_", ",", "n_", ",", "\[Gamma]_"}], "]"}], ":=", + RowBox[{"NLimit", "[", + RowBox[{ + RowBox[{ + SuperscriptBox["X", "\[Gamma]"], + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{ + "D", ",", "A", ",", "B", ",", "\[Alpha]", ",", "rx", ",", "ix", ",", + "n"}], "]"}], "[", "X", "]"}]}], ",", + RowBox[{"X", "\[Rule]", "\[Infinity]"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799181252488661*^9, 3.799181288956612*^9}, { + 3.7991822557647743`*^9, 3.799182259012323*^9}, {3.79918255024236*^9, + 3.799182550553059*^9}, {3.799183328238594*^9, 3.799183336154875*^9}, { + 3.799183491427051*^9, 3.799183524010297*^9}}, + CellLabel->"In[35]:=",ExpressionUUID->"8bef1756-135a-4486-93dd-174d30365812"], + +Cell[CellGroupData[{ + +Cell["3D Ising", "Subsection", + CellChangeTimes->{{3.7991757562240877`*^9, + 3.799175758224951*^9}},ExpressionUUID->"49b10533-63dc-4aa5-b5fa-\ +23a9793f57d7"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"Tc3D", "=", + RowBox[{"1", "/", "0.22165455"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalM]03D", "=", "1.6919045"}], ";"}], " ", + RowBox[{"(*", + RowBox[{"Talapov_", "1996", "_The"}], "*)"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]03D", "=", "0.99051"}], ";"}], + RowBox[{"(*", + RowBox[{"Blote_", "1994", "_Ising"}], "*)"}]}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[ScriptCapitalS]03D", "=", + RowBox[{"10.083", "/", + SuperscriptBox["Tc3D", + RowBox[{ + RowBox[{"2", " ", "\[Nu]3D"}], "-", "1"}]]}]}], ";", + RowBox[{"(*", + RowBox[{"Caselle_", "2007", "_The"}], "*)"}], "\[IndentingNewLine]", + RowBox[{"R\[Chi]", "=", "1.674"}], ";", + RowBox[{"(*", + RowBox[{"Guida_", "1997", "_", "3", "D"}], "*)"}], "\[IndentingNewLine]", + RowBox[{"CpCm", "=", "4.82"}], ";", + RowBox[{"(*", "Same", "*)"}], "\[IndentingNewLine]", + RowBox[{"\[ScriptCapitalY]\[Infinity]3D", "=", + RowBox[{"Tc", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"Tc", " ", "\[ScriptCapitalY]03D", " ", "CpCm", " ", + RowBox[{ + SuperscriptBox["\[ScriptCapitalM]03D", + RowBox[{"\[Delta]3D", "-", "1"}]], "/", "R\[Chi]"}]}], ")"}], + RowBox[{"1", "/", "\[Delta]3D"}]], "/", "\[Delta]3D"}]}]}], + ";"}]}], "Input", + CellChangeTimes->{{3.797700318460442*^9, 3.797700326541602*^9}, { + 3.79770038865489*^9, 3.797700401215064*^9}, {3.797700462352066*^9, + 3.797700496209168*^9}, {3.7977006414873457`*^9, 3.797700658740663*^9}, { + 3.797700695397188*^9, 3.797700701244178*^9}, 3.797700806394438*^9, + 3.797717754115891*^9, {3.797717828346756*^9, 3.797717829823938*^9}, + 3.797717864385722*^9, {3.799153535365089*^9, 3.7991535382281847`*^9}, { + 3.79915358655821*^9, 3.7991535883493223`*^9}, {3.799157330515562*^9, + 3.799157347467043*^9}, {3.799157529055113*^9, 3.799157535861999*^9}, { + 3.799157778787387*^9, 3.7991577950263577`*^9}, {3.799187566309985*^9, + 3.799187595333911*^9}, {3.799188183190444*^9, 3.7991881886780567`*^9}, { + 3.799188226854637*^9, 3.799188436291348*^9}, {3.799188476515957*^9, + 3.799188476738941*^9}, {3.799188532692795*^9, 3.7991885435638657`*^9}, + 3.79918867303148*^9, {3.799188817929282*^9, 3.79918886385736*^9}, { + 3.799188922379549*^9, 3.79918892997867*^9}, {3.799188973132162*^9, + 3.799188974171274*^9}, {3.799189033837137*^9, 3.7991890398123693`*^9}, { + 3.799267200414168*^9, 3.79926720056504*^9}, {3.799267368312717*^9, + 3.799267369560081*^9}, {3.799267948379891*^9, 3.799267967883041*^9}, { + 3.799268141030575*^9, 3.799268141126009*^9}}, + CellLabel-> + "In[796]:=",ExpressionUUID->"f1c6456e-0c2c-49fc-aaa2-7b850b85b806"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"-", "\[ScriptCapitalY]\[Infinity]3D"}], "/", + RowBox[{"(", + RowBox[{ + SuperscriptBox["x", "2"], "-", "x"}], ")"}]}], "/.", + RowBox[{"x", "\[Rule]", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}]}]}]], "Input", + CellChangeTimes->{{3.799188691548231*^9, 3.799188720446682*^9}, { + 3.799272692159149*^9, 3.799272723182399*^9}}, + CellLabel-> + "In[829]:=",ExpressionUUID->"6dcfffa5-1ddc-4df4-b638-4baa1f546aac"], + +Cell[BoxData[ + RowBox[{"-", "4.202737969631479`"}]], "Output", + CellChangeTimes->{ + 3.799188720791069*^9, {3.799188821117722*^9, 3.7991888648827553`*^9}, { + 3.7991889262901087`*^9, 3.799188930907674*^9}, 3.79918897494622*^9, { + 3.7991890352383127`*^9, 3.79918904055902*^9}, 3.7992679700708647`*^9, + 3.7992680708475246`*^9, 3.799268141976637*^9, 3.799272723828644*^9}, + CellLabel-> + "Out[829]=",ExpressionUUID->"a00eb657-e980-4d32-abd6-8c80b87adcdf"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"2", "\[Nu]3D"}]], "Input", + CellChangeTimes->{{3.799268198361796*^9, 3.799268199590803*^9}}, + CellLabel-> + "In[806]:=",ExpressionUUID->"eb48c644-5dc7-431c-b6c5-e74629b2d7cb"], + +Cell[BoxData["1.259942`"], "Output", + CellChangeTimes->{3.799268199790214*^9}, + CellLabel-> + "Out[806]=",ExpressionUUID->"0eccd071-ef9b-46da-afb3-9a9cb0789ee0"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"B3D", "=", + RowBox[{ + RowBox[{"B", "[", + RowBox[{"\[ScriptCapitalM]03D", ",", "\[ScriptCapitalS]03D"}], "]"}], "[", + "3", "]"}]}]], "Input", + CellChangeTimes->{{3.797699954311198*^9, 3.797699956620728*^9}, { + 3.797700710533165*^9, 3.7977007470293694`*^9}, {3.79926564044178*^9, + 3.79926564062502*^9}, {3.7992671632306757`*^9, 3.799267191852384*^9}}, + CellLabel-> + "In[801]:=",ExpressionUUID->"1b660ecc-2b2c-468f-ac07-b9f9d583ee81"], + +Cell[BoxData["0.04645966459613096`"], "Output", + CellChangeTimes->{ + 3.79770074801647*^9, 3.797700807197772*^9, 3.797717755073433*^9, + 3.7977178311825123`*^9, 3.797717877189372*^9, 3.7991535925228567`*^9, { + 3.799157332124851*^9, 3.7991573494721746`*^9}, 3.799157465586505*^9, + 3.799157530911976*^9, {3.799157781099972*^9, 3.799157796733979*^9}, + 3.799185920703765*^9, 3.79926564101444*^9, {3.7992671778181047`*^9, + 3.799267202746972*^9}, 3.799267371787565*^9, 3.799267970266754*^9, + 3.799268071110031*^9, 3.799268142179368*^9}, + CellLabel-> + "Out[801]=",ExpressionUUID->"dafe9a4a-ee4d-4721-bc0a-dc10e3bbf956"] +}, Open ]], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"\[Delta]3D", "=", "4.78984"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Beta]3D", "=", "0.326419"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Nu]3D", "=", "0.629971"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Gamma]3D", "=", "1.237075"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Alpha]3D", "=", "0.11008"}], ";"}]}], "Input", + CellChangeTimes->{{3.797706115298265*^9, 3.797706148450502*^9}, { + 3.7977075095201073`*^9, 3.797707512503695*^9}, {3.799187377547883*^9, + 3.799187400875442*^9}}, + CellLabel-> + "In[787]:=",ExpressionUUID->"777df78d-4029-4ae4-9481-6ed62e53681e"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"data3D", "=", + RowBox[{"Dataset", "[", + RowBox[{ + RowBox[{ + RowBox[{"With", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"info", "=", + RowBox[{"ToExpression", "/@", + RowBox[{"Rest", "[", + RowBox[{"StringSplit", "[", + RowBox[{ + RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}], + "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"dat", "=", + RowBox[{"Import", "[", "#", "]"}]}]}], "\[IndentingNewLine]", + "}"}], ",", "\[IndentingNewLine]", + RowBox[{"<|", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "4", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "2", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "3", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "4", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]e\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "5", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]m\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "6", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]t\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "7", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]a\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "8", "]"}], "]"}]}]}]}], "\[IndentingNewLine]", + "|>"}]}], "]"}], "&"}], "/@", + RowBox[{ + "FileNames", "[", + "\"\<~/doc/research/first_order_singularities/data/3d_ising/metastable_\ +3_*_m.dat.processed\>\"", "]"}]}], "]"}]}], ";"}]], "Input", + CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, { + 3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9, + 3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, { + 3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9, + 3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, { + 3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9, + 3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}, { + 3.799153379138743*^9, 3.799153410482788*^9}}, + CellLabel-> + "In[792]:=",ExpressionUUID->"7a50b246-a616-45b6-82c5-9b269a36e64f"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]3D0", "=", + RowBox[{ + FractionBox["2", "\[Pi]"], + RowBox[{"Integrate", "[", + RowBox[{ + FractionBox[ + RowBox[{ + SuperscriptBox["X", + RowBox[{ + RowBox[{"-", "7"}], "/", "3"}]], + RowBox[{"Exp", "[", + RowBox[{ + RowBox[{"-", "1"}], "/", "X"}], "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",", + RowBox[{"{", + RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9}, + 3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, { + 3.7992649479102497`*^9, 3.799264951208439*^9}, {3.7992656248413467`*^9, + 3.799265628600877*^9}}, + CellLabel-> + "In[731]:=",ExpressionUUID->"8a26f8de-f95e-4832-8ec8-348b1ad58608"], + +Cell[BoxData[ + FractionBox[ + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", "Y", " ", + RowBox[{"(", + RowBox[{"3", "+", + RowBox[{"13", " ", "Y"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"(", + RowBox[{"9", "+", + RowBox[{"10", " ", "Y", " ", + RowBox[{"(", + RowBox[{"6", "+", + RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + FractionBox["7", "3"], ",", + FractionBox["1", "Y"]}], "]"}]}]}], ")"}], " ", + RowBox[{"Gamma", "[", + FractionBox["7", "3"], "]"}]}], + RowBox[{"9", " ", "\[Pi]", " ", + SuperscriptBox["Y", "5"]}]]], "Output", + CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9}, + 3.799264955478936*^9, 3.799265634202813*^9}, + CellLabel-> + "Out[731]=",ExpressionUUID->"bcffce04-9c22-42ef-9db2-c957da368ba0"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"solA3D", "=", + RowBox[{"Solve", "[", + RowBox[{ + RowBox[{ + RowBox[{"A3D", " ", + SuperscriptBox["B3D", "2"], + RowBox[{"Limit", "[", + RowBox[{"\[ScriptCapitalY]3D0", ",", + RowBox[{"Y", "\[Rule]", "0"}], ",", + RowBox[{"Direction", "->", "\"\\""}]}], "]"}]}], + "\[Equal]", "\[ScriptCapitalY]03D"}], ",", "A3D"}], "]"}]}]], "Input", + CellChangeTimes->{{3.799264847521249*^9, 3.7992648838348923`*^9}, { + 3.7992649382358303`*^9, 3.799264994716874*^9}, {3.7992656328894873`*^9, + 3.7992656535050497`*^9}, {3.7992662948056383`*^9, 3.799266298660973*^9}, { + 3.799266510843027*^9, 3.79926651851332*^9}}, + CellLabel-> + "In[802]:=",ExpressionUUID->"7cea48f2-60ec-47f7-b7ad-332766dc7eab"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"{", + RowBox[{"A3D", "\[Rule]", "77.83785139101165`"}], "}"}], "}"}]], "Output", + CellChangeTimes->{ + 3.799264996033083*^9, {3.7992662928917522`*^9, 3.799266304550478*^9}, + 3.799266519916786*^9, 3.7992672122782784`*^9, 3.799267378050376*^9, + 3.799267979207354*^9, 3.799268079962841*^9, 3.799268151042214*^9}, + CellLabel-> + "Out[802]=",ExpressionUUID->"79d51ae5-606c-4941-b4e5-9821b7688520"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]], "Input", + CellLabel-> + "In[893]:=",ExpressionUUID->"c0007b02-44f7-4fea-a08b-a30d94a9a9cf"], + +Cell[BoxData["1.2087792173006255`"], "Output", + CellChangeTimes->{3.799276796889333*^9}, + CellLabel-> + "Out[893]=",ExpressionUUID->"c0e47910-92e6-425e-9a14-a4edcf0ac223"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"solAc3D", "=", + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[ScriptCapitalY]03D", "\[Equal]", + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"3", ",", "A3D", ",", "B3D", ",", "c3D", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ",", "2", ",", + "0.5"}], "]"}]}], ",", + RowBox[{"\[ScriptCapitalY]\[Infinity]3D", "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "1"}], + ")"}], + RowBox[{"Gamma", "[", + RowBox[{"2", "-", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]}], "]"}], + RowBox[{"Gamma", "[", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "1"}], + "]"}], + FractionBox["1", "\[Pi]"], "A3D", " ", + SuperscriptBox["c3D", + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}]], + SuperscriptBox[ + RowBox[{"(", "B3D", ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]]}]}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A3D", ",", "77"}], "}"}], ",", + RowBox[{"{", + RowBox[{"c3D", ",", "1"}], "}"}]}], "}"}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799274802860145*^9, 3.799274976045903*^9}, { + 3.799275142888137*^9, 3.7992751433352423`*^9}, {3.7992760641418056`*^9, + 3.79927618407165*^9}, {3.799280745620797*^9, 3.79928075309188*^9}, { + 3.799283643527923*^9, 3.799283647342602*^9}, {3.799283677599986*^9, + 3.79928368272735*^9}, {3.799283794866105*^9, 3.799283819321507*^9}}, + CellLabel-> + "In[1112]:=",ExpressionUUID->"0f743e4c-b934-4047-824f-9118b8241f11"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "precw", + "\"The precision of the argument function \ +(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\ +\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\ +\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \ +RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\ +\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \ +\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \ +SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 774, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9, + 3.7992838197690353`*^9}}, + CellLabel-> + "During evaluation of \ +In[1112]:=",ExpressionUUID->"dc7216b0-7063-4b23-a21f-d7faa13d3df8"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "precw", + "\"The precision of the argument function \ +(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\ +\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\ +\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \ +RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\ +\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \ +\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \ +SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 775, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9, + 3.799283819819783*^9}}, + CellLabel-> + "During evaluation of \ +In[1112]:=",ExpressionUUID->"d04ee94c-6e60-45cc-a006-5c7e3a020a26"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "precw", + "\"The precision of the argument function \ +(\\!\\(\\*FractionBox[SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\ +\", FractionBox[\\\"463.28459520784253`\\\", SuperscriptBox[\\\"Xp\\\", \\\"2\ +\\\"]]}]], RowBox[{SuperscriptBox[RowBox[{\\\"(\\\", \ +RowBox[{FractionBox[\\\"2.2144171958821146`\\\", SuperscriptBox[\\\"Xp\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"19\\\", \\\"\[RightSkeleton]\\\"}]]], \\\ +\"+\\\", RowBox[{\\\"0.04645966459613096`\\\", \\\" \\\", \\\"Xp\\\"}]}], \ +\\\")\\\"}], \\\"4.666666666666667`\\\"], \\\" \\\", \ +SuperscriptBox[\\\"Xp\\\", \\\"3\\\"]}]]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"30.`\\\"}]\\)).\"", 2, 1112, 776, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9, + 3.799283819834196*^9}}, + CellLabel-> + "During evaluation of \ +In[1112]:=",ExpressionUUID->"641882e3-f811-41b6-8d28-21a125953a9b"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"NIntegrate\\\", \ +\\\"::\\\", \\\"precw\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1112, 777, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799283660568468*^9, 3.799283755289754*^9, {3.799283797496587*^9, + 3.7992838198448877`*^9}}, + CellLabel-> + "During evaluation of \ +In[1112]:=",ExpressionUUID->"7431081a-9c55-4cde-9a4b-8c2790867ab3"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{ + 3.799274890025193*^9, {3.799274963580843*^9, 3.799274976211142*^9}, + 3.7992751441449213`*^9, {3.799276171337564*^9, 3.7992761851337748`*^9}, + 3.799280754600988*^9, 3.7992836605825987`*^9, 3.799283755299264*^9, + 3.799283816758369*^9, 3.7992838901694717`*^9}, + CellLabel-> + "Out[1112]=",ExpressionUUID->"016d03f7-79e4-4384-b5d2-fa6ab1290706"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]3D1", "=", + RowBox[{ + RowBox[{"A3D", " ", + SuperscriptBox["B3D", "2"], "\[ScriptCapitalY]3D0"}], "/.", + RowBox[{"solA3D", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, { + 3.7992652817721357`*^9, 3.79926529785892*^9}, {3.799265662338277*^9, + 3.79926568854569*^9}, {3.7992665316270847`*^9, 3.79926653196107*^9}, { + 3.799268639888319*^9, 3.799268640606805*^9}}, + CellLabel-> + "In[809]:=",ExpressionUUID->"782da974-7b2d-41fb-80b3-c5b9ae72928a"], + +Cell[BoxData[ + FractionBox[ + RowBox[{"0.007075071428571428`", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", "Y", " ", + RowBox[{"(", + RowBox[{"3", "+", + RowBox[{"13", " ", "Y"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"(", + RowBox[{"9", "+", + RowBox[{"10", " ", "Y", " ", + RowBox[{"(", + RowBox[{"6", "+", + RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + FractionBox["7", "3"], ",", + FractionBox["1", "Y"]}], "]"}]}]}], ")"}]}], + SuperscriptBox["Y", "5"]]], "Output", + CellChangeTimes->{ + 3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9, + 3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9}, { + 3.799266525132991*^9, 3.799266532270993*^9}, 3.799267213034593*^9, + 3.7992673781179037`*^9, 3.799267979288787*^9, 3.799268080790303*^9, + 3.7992681511042356`*^9, 3.7992686416269484`*^9}, + CellLabel-> + "Out[809]=",ExpressionUUID->"bd6c707e-52cb-4803-b10d-03b5a109a7f1"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D2", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"10", "^", "x"}], ",", + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{"3", ",", + RowBox[{"A3D", "/.", "solAc3D"}], ",", "B3D", ",", " ", + RowBox[{"c3D", "/.", "solAc3D"}], ",", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ",", "2"}], + "]"}], "[", + RowBox[{"10", "^", "x"}], "]"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"x", ",", + RowBox[{"-", "5"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799274993641975*^9, 3.799275045832779*^9}, { + 3.799275080725634*^9, 3.799275150736534*^9}, {3.799275454333933*^9, + 3.799275513000143*^9}, 3.79927556939865*^9, {3.799275612774645*^9, + 3.7992756129261303`*^9}, {3.799276017389124*^9, 3.799276032635975*^9}, { + 3.799276193047822*^9, 3.7992762363834248`*^9}}, + CellLabel-> + "In[1023]:=",ExpressionUUID->"e906386f-8b34-484b-a21d-2bfb5ede0c16"], + +Cell[BoxData["\[ScriptCapitalY]"], "Input", + CellChangeTimes->{{3.7992762237640944`*^9, + 3.799276224786467*^9}},ExpressionUUID->"15d8641a-f5e8-448f-b316-\ +66015f59c3e6"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"data3D", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"B3D", + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",", + RowBox[{ + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]3D"], "#T", " ", + SuperscriptBox["#L", + RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{"\[ScriptCapitalY]3D1", ",", + RowBox[{"{", + RowBox[{"Y", ",", "0.0001", ",", "1000"}], "}"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"B3D", " ", "#1"}], ",", "#2"}], "}"}], "&"}], "@@@", + "\[ScriptCapitalY]3D2"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, { + 3.799265715899272*^9, 3.799265733210948*^9}, {3.799266549587083*^9, + 3.799266565121595*^9}, {3.799267354257635*^9, 3.799267355496191*^9}, { + 3.79926747907583*^9, 3.799267528491227*^9}, 3.799267982133749*^9, { + 3.7992686515454407`*^9, 3.799268658975692*^9}, {3.799275155759755*^9, + 3.7992751909440804`*^9}, 3.799275556471552*^9, {3.799276266609137*^9, + 3.799276277960126*^9}}, + CellLabel-> + "In[1024]:=",ExpressionUUID->"f608ea82-1ded-4cf2-bd1f-900e70ed761a"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10018.197871255481`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1024, 677, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"de4f8f35-7e29-449a-af94-b7c4455e1ba9"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$10841866\\\"}]], \\\" \\\", \ +RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", \ +\\\"Charting`Private`pvar$10841866\\\"], \\\" \\\", RowBox[{\\\"(\\\", \ +RowBox[{\\\"3\\\", \\\"+\\\", RowBox[{\\\"13\\\", \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"+\\\", \ +RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", SuperscriptBox[\\\"\ +\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]]], \\\ +\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"9\\\", \\\"+\\\", RowBox[{\\\"10\\\", \ +\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\ +\\\"ExpIntegralE\\\", \\\"[\\\", RowBox[{FractionBox[\\\"7\\\", \\\"3\\\"], \ +\\\",\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}]]}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]}]], \ +\\\"-\\\", \\\"0\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", RowBox[{\\\"Im\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}]}], \\\"-\\\", \\\"0\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"Im\\\", \\\"[\\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]}]], \\\"]\\\"}], \ +\\\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1024, 678, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.7992807644323606`*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"9fb88e2e-e045-4c69-aa02-17edccf9ef24"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10018.197871255477`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1024, 679, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.7992807644767942`*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"d6114e9f-4a2c-4598-bdeb-9bf91f91f992"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10018.197871255477`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1024, 680, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764520795*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"78e70b16-00f7-46bc-b72e-2c32191123d6"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1024, 681, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764624076*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"cee37e76-569b-47ea-99a8-e946088f6d28"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \ +RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", RowBox[{\\\"Re\\\", \ +\\\"[\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\ +\"-\\\", \\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$10841866\\\"}]], \ +\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \ +\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Plus\ +\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\ +\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"ExpIntegralE\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\"\[LessEqual]\\\", \\\ +\"0\\\"}], \\\",\\\", RowBox[{RowBox[{\\\"Re\\\", \\\"[\\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +\\\"Charting`Private`pvar$10841866\\\"}]], \\\"]\\\"}], \\\"\[LessEqual]\\\", \ +\\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1024, 682, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764672621*^9}, + CellLabel-> + "During evaluation of \ +In[1024]:=",ExpressionUUID->"11eeca04-0481-4df6-b5ca-5c56b1141e17"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], + AbsoluteThickness[1.6], PointBox[CompressedData[" +1:eJw9lVk81YsahheWZR4WlmW2UWQjRaVD+itjppIiMpU585RKCgk7UpqURnNl +KLEi4fsQG9kyhCRTZKZkXomzz825eH/P5XP3vHInAw67s5JIpL//3f+YwAga +7f8ijRMGEaIvjiaAi6JAk6+KNB5nL4tYrIsFS09T34QGSZyyCokqPhEFpv43 +4kTpknidyXk1KSII5AfUT2W5SyB/gDyY+d8Am/hbWhol4ljhM5J5Z/4BSIUY +bQZWcZSKzC0YwCKwEIyts7AS+7+vfNOAR+9jOk6o/RP+2aIICmYNLL1nRZEI +vn9JwykPdvEeHV3eI4pTXfw+Nn+WgEBjlvvlRBoe1zLQFRWqgNgiiw7hzyJo +2JPczpLKALqgRlr6FhEMjaEY34kGWHkXFqceLozmiU8CsnRroMhZ72JlnRCy +LJMWNqvWgfEp/xAzESH85dUnad5XDz0Nh7V7TlJR28Gn3lyxCcoj7yh6Fgni +fVp47GzYBxhYL9g0vSGAbqRoqvR6O1CNZJQoD/nxTQmDfvFAF2ixjZXIafOh +mvetvfVDXUCcifLd082DPZWDtlVWvfADE9jtQrmRshRhukgdgNulzp5hVC4M +dWDRYMsbgrehWxavF3KgT2Wz5vvGEeA6OUUrMKNg7X3LeMeWbxCm0WTYME7G +CqeiuRtx4yChnJ47cpkNOaZICU+Yk0CMeu8kKbCi1bK+lNrhWUjuULWRQhL2 +KQ469bj9gOHIJp3A8nUY75d6tCH4E/bsrPuQu/AL0kYyahTa5yH+hc1U/9ZV +kI+psyvcuwhzLMW1NO8luLegYNKuvgxJPGMO5pnzkFFidtpn9yoYiJkciuv7 +AZzn7PWbZpggu7m4+5z6NMw8eJ0227wG840+CeOZo3CxXkE67c46YIv1s+Ni +QxDYceEc91kSasyo6N8U7wYRmm66oAMLVuUPnxwgN4ClVWf4ah4rMkluDie9 +r0LmdA6n+iM2fCmVpvnM9h3xdCGE5FNGxvy4hvKf+zsJNb8gW7+37IiW+xR5 +1AYJl0Wurb8mKLg8KRh/66MM+rZEuUpHhkCO0KGncgoyWFBQrVX3OAa6rq1t +exEkjYErFMO3G5ehq3WZ06daCnnUgl06dgXDNfsOt/f8Uljq6i1qkB0JXu8D +TewcJbHbKWO7m+Zp2JN51X4sTwLNt5t5Vn7NgKO8+ZOhTHFcjGD9+tslFQ4L +L5DZDojjgTa2oO2v78OfsSnj11PF8PTqcesle19wUl1iyIzSsSw9OS+x/Bko +iD3NzNtBR9lqckesRyYcYXzT174kin+Mxd/rt3kJNY163/5uo+GJd/6Fdl9e +A+NmTvPRP2hIXhooe5z2CvYWvXYb8RfBUjsvOUoLAt2fMhJUKYxq7WdXclff +QJLNCysSrzAuX4+aWKdVgSzjpliyvRC+UM2PtW+qBtKpbrLUMyo6PpyKXZJo +hDfkjN/PlgVx85F8+qjxe7AUaJ3TMhJE3b9x+gu1FWp6vYISlQXQlq/pnGRf +G8Qa/jiQW8+HQgECA9bpnTBrEiRX58qLQWxKjhj1Cf64PqQwQOLBjuqt6t6p +vWBk8byI+ZAL7f25vrctDoBljb43TYcT3z4+tl0Xv8IGtzmrxicKdj0tWCv5 +PAxZLApulmHseNWVQ2BbxSg0VU3NeQuRUYKh88Ri0wSI5xcKxb1gxYLjPE4S +e6fh0vmr+9PNWTDeZTxr55NZsBptMIno2IBWy68xRRJz8NDF3u0V32+wvugk +BeU/QUdnMHvSmAkkRsuzS1cWgFXIaqd8zDKkteW+KT26BHaNZo12FQtg9MQ3 +O6J+GXL0+0auL80Bxy8+7h8DqyCnGnLu2olZyDJWzLEd/AVHiN78tc5xyDlJ +SNSG/YbaYw9vBpoOQ3RvtILG8w0oS4u6XRnZCzk2m+4drCah68jc0l2PVihk +49J+9YUF+0s5htd0GfDIju3oziZWdOIas78pU0r0+npvDJHIqNQT4tXQ30oo +5ZAG4tbIeP4aK8fMYi8xjBMmyqIU/O7UYxcXN0wcY4nv/sOGAyUlbU/RhCaI +6cqfh4hYToxR3KGZ+3CWcKguGlpN5sKlJG/ltwekcHWHzBGB4ATIKnlqanJX +EjWVTT3q82Lg4/ajHZ2jEuj+40BZRYE/dAYfykvZJYE+dJ0wJ+MTRPKaCsfP +S+I43NtEeRB2kfDwa5y82C6GzLMcHwMhA3QMR9f45MQw2XzoxvuzoXCkkHz1 +fgAdLf7kmsmuSYNDDPNc5SpRtOd9/YDLLAW2KE5eKeUVRdFUtSK/kkxwaLE8 +ZnichpaejZzSDxkgX04yan8mgjKxcfJ6u/LA2nbvqMuKMNLLY9Ynb1cD+tyL +nzUSxsL3ebXZD8uheOeG//nbQljjNL/6/iXCHmsBDp4RKvIHS+/bXlcPNEHn +uLsaVPSrIBxP+DbClRWOBcVoQdR0rnwl/aQRtAs/hXk/FsAAxQyQVfgAa3QX +y8t7+PGU963OfEYH+FssEuk9vHg7IPdNT9cnuHfSakvlaR7knufNKrbsgSpZ +idefhLnxupgKm+1sH0T9lZ688JIT3UmMNLXLgzCZJO8hZMmB0bekNjb0hkH6 +4w0v1Sl2lOxn5x1P+gb6KceXjBPI6CMzzXu6dRzMKIsFJzez4Zl+v+7RwklY +s/xtdLGGBdk0Ex3j52Yg3fDj0/vOJLxvJRHife0HJLNr+/mv/oa4bc4ZAjgH +KoNQmKP5C2Ipz4+y750HUnQkf5/fChyP3mw4ZL7476ertNOeLoL9ePRkq8Qy +3BmvmDH/+hPOj+yhOF5agR21+9UvS/2AovnO5roiJixpekaeLZiEJzfYymxO +r0FuhkP2uNw3yJ6UCwrcuw7ntm6UFagOQLnhm4ldWiRUOhMo8RftI1h+8/PZ +r8eCNN3o9fq1ajgSjpyGbqwYG9pzL7vuCTHjf3lYWYcNG69M/vXSuYmQXWmr +CDUhY+mvS8NrRp8IMUeTXJEL7Ehd7TnE82KIqNi+Q388gYJabanHHmqPEf0f +6thlb3Fg+pdQOfX6aSJFOoCKrzjxm6RT2eCWOcLVyEbm7hgXXlC6kvl0dp6g +iG/4eHDx4E32RpXAkiUi8m2Ypw6dF00StQT/c26V0NvfVBLlwYfx3YnkyDk6 +SmsKUWYOpsHOjabN3Hp0LL+2rTCELwPcz4cXpiaLonXtP4EajATCozI4zrqf +hhHd73heNhSCrLHl12IVGobw8zy/GZsCy6VTdfvOiWD4ib7MiGPF0HyN89OH +BmHcnqfyNbi1FL6tKHo50oXRbqEtyW5HOQxt+MdMuQvhtrmbsswABrwJ5PU4 +W0JFzgiJIXSvgVmxIE0ONir6dj+Qd+luhmKygtwtK0F83OcaVBvZDA361TGG +egKoWVXYrDrcApm+4XUufXwoLNJv8VqrHRJI+rfOn+NFvluH9bZ4dUOajuu7 +e3QeDOdRippN7AVzBmttSQkX+uxUE52v6QetuCOP2qw4Ubnse16w/SA46kur +zsxSUDhy1SqOewRkCrLIXEnsqM0jaS098Q1Svv5naZMyGafUg7vGJsbh7fLt +fr16Vvy19OHyRNskDJU4+Tq4suCpqt2MUMoMZMiMGpwhkVD6juuiacp3EDdo +2a2q8xt2d0qO9WfMwYX2Ql2XMCZop4kVV3MswHtzPbvUF8vAMqg0MWW6CJ93 +hTQ0TyyAdZOd8qGkZdBtuMRk3/QTuKTF/h6VXgU+H9fzkRWzkHLmGC53MSHH +Oa54atsEZIe3jowdXIMhkRu7HLKH4Ybbo9EF73UQKZCYTtH8AiutrVJUExLq +nGxnhkq1gVmLTPNNLxYsUzuRZUgrAynTxUbmVlYM3rJPf5dxCVFzSGOl1IUN +Sd95rb9vaSV0Fpmv1PTImEmVZ6Pq9RKnUh3p+3zZcbeIv2mayjDRz9o+WXiQ +gu4BjHuqpeOEfJUcF68/B25zsPCE/bOEhGv53dNXOdEl3RA3j80RoVwL/ENX +uFBEqSRrNn+BCPypJEx6xY3PP9o2lwYvExauOuEHx3nQsH1Y58JuJjGyqj3Y +vMSLx6pqCOP1NeIEM2fD+9+u8Rhs3yT4boNQWbpermckgG1nJrOnDVj0Pkfv +G5VVF8QHF6Lut+ay6iXS81pKGwTx6cxj5xJusl67YdnLGE8qRm/rbrvrx65X +YygcFbpOxf8COLRxUg== + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwVj2lUlAUYhScTFEMdAzFm+eb7RpFQ8CDIlgYGIxGIChaoICcBx0zEUFGz +qECdhYFmZRVkR0eTRiYIYnnfGBa1zjCIYypgm8gqO5OyZPTjnnueH/c851LR +J0IPL6LRaIcW8n+34g3NrWNcNPqHW0icBbDYNwodjnLRrkQ5N+gqgPd0dEMR +n4tWK0fdd3sIoL4lcVR+iIvd3VWZ67wFcOuuz6aT4Vx0p/ovv75TAHn3O2+4 ++HFx/siLK1mfCCChf7Zcy1jYx5NW28sEUHG0onrjW1x8vIM56aoWwPDgx60l +q7lYmSQ0Ot4UAP95S6+SzkVLJrPOqUoAkRPSdafNuTi2U1cf1yIA/7m1xVsm +KPTuVIT0PhMAi74zv+oOhXG6UY8xJyFw1dWO/7RS6LRFxZt2EYK9L1Xv2Uyh +7PiE+2ueQnA5bXpc10hhhK51wslXCAEPC99q0lJ4KOHNzq4wIZwqnFbq8ym8 +v9KgkycL4a5zQWpfAoXFy5YV3+wWguGOBcPhBIXvqw40Ff8lBGP0afWncRSq +Dt1bVdgvhD9UH9x+zqfwXX/nY9opIZheTJpNRVD4YHfHDu/lIuD+HJBM86fw +xF4ljPiI4POQibO2DArX8Vq2r/xOBCbFUpV4DYX3Ctrmr1WK4PR9QvPSmsKa +2j2bg2pFEB8e1P9oJYWR7x+wV7eKIPpg6b5cs4W/gmUpv/4pgsCjYV7McRKH +TBurf7IVAyv5pxnWbRKP/N3vIZCJIafJYJPeQuKSRN1DXrYYbBb3ucw3kaj6 +wcRfXigGutDqWE8DiR45vK/qvxeDWXpcV76WRG0Ig6ZqF8NINlFPFJDIuHlH +57oqFUCTkkSeIbHpy7rojLxU0EPA2fxTJG7Ve3UklaXCE/2KBEYCiU/EUZ8l +VKTCv8O5sdZxJG4obz13HlNhm4M2aGk0iV9P2vqs7k2FmqK/bceCSQydV/PO +O0tAo+BVgx2Jd7d+QT9mkAAWLdNsW0viA28F58FjCbRrDOpaksSMihq/Xb0S +GNFH5muZJP4232HJn5GA4xuJF6+uIvF3tvlJN7s0CF0SVEbMcrBCHxgUnZQG +vAHLJw3XOXgxvKY63jMdJt0tOgLLOOieFmMo35EOxRfNmn8r4OA3wbmDY6Hp +8Br5r3pcxcFZ4bcpdcfToTFsNNHuaw5euLxi2rE0HbyaO5an7+XgJsOQKdP6 +W9hUkPlu5ByBr5c22/kslkLPsMJ5wESgk4bhN2AlhbR3pGvPjBM4q4urvLZW +CkNGoYXsGYHhMfdmjvhJ4Zrl50adgUAvB8PhoQtS4J6POL6xjMANkz5/SBfL +YM1HZP5MMIHJm0MGJQoZVE+eUj8NILCuY6Ryy2UZfKhoq9L7Efgyae5cf4kM +FO3x+mIvAg03zN0SqmRgGdjwKtCOQK0jzbT0kQxoPgeiL8+xMSzJhhPFlcPg +2yr7bTfYKEwSD5o3ykHU1ue6vpyN/b4N5Rtvy8Gev3U7vYiNJ41O2w/ek0Ns +yV/7nmay0frHtqC+Z3J4wt6cmpbCxqzMGHk2XQGdb+qHu/ezMSiXd+YrvgLq +55ZUJi1d8G29YtbBUsLQ3V8aZhax0SO7qPmWgxIYOdI7Z+dZyIyqcy11V8JZ +tzV/Jkyw0Gj/PKVxjxJc4tfT+d0sXNcik/9ySQnXfufF79KwMDFsl8/BSSVk +NCVv4OxjYW95T6x1jwqaZTvc80JZGKMZ+SZyWAUTURa+tsEsjH3IV9XOqmDP +rGy/le8CN05ZaRkZYLmlULTEkYXPO9uvlO/PgJSyxmejr5g4sD+2Qt2VAfGi +2WK8ykSac0O4aSwTmsaJT8OLmUifau9pWpQFNhG+m0fymLiidP1HV62zoMFJ +DEwFE+cJSVaNZxZYdtp0n/mSiYOexslXyVmgZrusdgphYmlJX5e3bTY8rfxE +mDPDQKPbS9rxiBzwZKXtcp5mYNej64/PfZYDaZe+X902ysD70TMvCi/lgOs+ +U8nUUwZePGyW66/JgZT5C7i7nYEDp2SZQ+a5QAYUvDQrZaBJ8nNMY20ujCeW +3a4PZuD0zQvv7HTLg/8AMwArlA== + "]], LineBox[CompressedData[" +1:eJwVx3k81IkbwHEm9zBjjJkxM5alQo6iNErt+mKl0uGqlLYDUQixaVNJSAci +FR1SjiYqR5oUxfOMW3LkyFmulaPcV8nx6/fH5/V5vdWcvG2PkERERKp/9f/b +UcbYPHMOUvNMtlYdiQfXUhwyXc/B3z2iOlRvxoNv5lNv2nIO8j4aXDk5EQ9X +L1zwy5pjI6Gsn/ju1X3IW653ZvgpG5VMxI9oOjyA+Y7Hjt18Nu7boyP4y+8B +EHfVN35MZOPsepnWkGsPoJSiNJ8fx8ZvxaXWR0seQN0M6XxkCBvZNufN3DgP +YbCiOVjXkY26w3cKOZEPgeMVetVdho33vr0xsQ1KhKE93u5jYmyMu3sv8vz1 +REDTfVv/XVTCw4kTcsVJieDG0JcJm1TCquJLajdKEkHwtu1K4mcltD9uP79N +Ngm2k9dcac5Wwq8PKu2tEpIgKLXr0iZHJVSPDfff25gMdjHv3ap2KaFOMn/w +6UAyaJx9ZWlvrYS56xzesheSoWpnpKSThRIuD7CR3qyZApyZdZfOrVJC/Q3+ +WyYCUkBgER0mWKKEjPL52RTNR9DX/edF9WcsHN4oVhYSx4cnv10IlHjMwqbW ++bqxdD54OhSdGkxkYe547syZYj6MVlm6Z8excPfF7YzeMT7MvrbeaRbCQkfL +UC/KjsdAiXJiO+1jIW9zdEQ7ORV4G8LSE6VY+KNEN8M1IQ2+nyznX1zCwmzP +0pT7r9PgTZbMw2MLTOz8lGs7VZcGhEZUjMEkE5U2zPhJSj2BrbTbp4QdTKx4 +2az/xu8JHOhLM+3KYaKyhtWuUJunEHajqvH3I0yc5F9TKtFMB69j3ldVDjHx +kPZzmQqLdNhlQjNRdmRiMm08Ysw5HZZ9tU9l2TBxIbNiOOthOgjN2gMofzBx +V7b20BA3A+bGBlXnFJkY7vMl4RI7E/yspdybihmoF6Gl+8edLNin8USlERi4 +s4nT/uJJFpjNWdXX5TFwg+beVyZvs0A+NWpjdRYDb3V22cZ1ZEHGIpNaEv/L +VaqtmzWfw2DGckH2Pwyc9wl1qsx7DofkzBcilzGwKOBHs/hENjQr7MpWUWWg +Y96gKFX6BexUcnPNZDNwb4Ng3lD1Bfy5NLy6lsLA9ltpC01WL+C39fUJ9B+K +eMJKenkg/wW0ujib3KlSRCMHu4sehwVg/zYkKMVfESnfWn2bhl/Ce+Etw7Un +FHHUPdCsWCoHzMse95d4KOKz1qj8OvUcWF1Xad13SBHlH7zav2tPDtD66Wra +VopYMOHYPCXMgWp6ijBTVREZwlStivuvwNKjmPSmnI4uVZGMYZ9cyBDq1aYW +0dF74U7I3shcUFSKux9bQMdX5BZWX1oudBcfW+croGOSlcSOYz25EKhC9Vrx +kI46pw2MKA55kPNhb0vcKTqqdh9Nn7N8A8vWjWT+o0FH95M91VfM8yH8msM5 +JzU6GpWskb7skg/j/wm3WivTMfXsQGT6xXzA6zd7dRToWHM6c7l3eT44fl3P +7ZlXwMprk4c/7CyAmITQMJtGBbwUw1i93hVARJzz98pQBSwUe0/2bEGYuTqx +IjNQAbekDPRoDiMMy1dNrzqtgHdLsowXSEJoVw6KNvBSwDLt2K5ZXSHkGn4p +MnRQwN1bpi4bBQvB1yVbe4OuAuLQaYtWg0LoKdr63bKBhoFHQOUZvwhatywr +Ka+mYYxxS+10QRHU1cxf31JBw524XOtQUxFgW5aOVQENq03P20VJFUP8BPPg +jlQa9sm5BTl7FoP90p4S+7M03G/g/4pkXAKlwWduHF5Gw+Kyan/V4VLoThZw +51RoyDtK2S0iUwYLxUPJsWwabrSQMV6iUQY8yUOCSgoNxzvtHnkfKAN++F+N +a3/Io/l+4dK+2jIIuynHkqmWR0rQ37Mn3paDJf/B3exT8niys81EMvMduJQ1 +q2/3lUeNlyPGfjXvIKif9rTPUx7TBA0qEqPv4LV26BtlJ3m0/iKwSDSoBK3M +o+1h2+RRTEsi7nlOJUi9NlBxVJPH8wlSfQfK30P0jUvmkrFUFJNZHcIi1wD/ +VGrYdDgVD483+GitrIF8x4qK3gtUnGc0dhy0qYHBpWTr4uNUzM+tqTe7XQMW +gmv7L1hQ0Y8xcHWYXguzDbdO/pykYEqjd4bp41pwYaY8HrGj4Ki5r97OTx8g +YLZ48PMWCmoql3c5j32A65979apNKDhw9Nyaa+J1UMDXFDzToeCKsRPzS1fW +AdvoKR5bQsGRIwW2u4PqoHpPdktPthxGcssP9GnVw7o7SG6myeEVUbtRy/AG +8G4Xbh+SkMM0DUaPVkoD8FWLokhzsmhfP/GHRn4DKPJL6HpfZJFb7xPrP9IA +o9nvuMF5suiqzSrw2dUIae8bdHSdZZHd5O7VrfEROCIDVkECMi7bPDd7urMJ +bMwHI2+lkdE6wMZZeb4JLod9rXmSQEZ5qeH7n9nNMC07bNd4mYzaItqzhXbN +UMeecNT+m4wW8UwnSkUzXF0z79EgTsZ5teon5bkt8NOVFqG1RwZvzafVxQja +QH6bUOT7Nhk08tOLWFvfBhoGJ06WmckgX+Q9e2asDWx/1h5wXSmDrM/z1KZV +7ZAaFW2QIi6Dk8zCRdn0drB/TW1SFUhjiFn46yPpnyBDmqLOokmjSLpFyYnS +Digezo/9IiGNQVGKur8NdEBL/XFyzpwUapnMG0yJd4JYQtWkfb8UTvUX2E1p +dYLj6siyGJDCgqx/owu9O0HKUfY4xUsK9Vlvzt8T6QKnZzKvxSslsd+T3nxv +VTfcHr2r8xMkUSYo90v5X91QbajzYFQgiTO7vseS93WDcb5VWFuCJK69Duy6 +0G5QqI6wf+4riT6/5+4+0tYNhSOUsf0cSXQZ9VfOjugB9TV0bcExCVQ76vlt +p0gv9ORy452kxFEzLYb7bWU/OBl6hIXPi6GjkflkwJZ+6M7I8xGMi6E0lW6p +7vLLyXstJD6J4fm73dfz7vxyZNxw2nMxjDbLMqZLDEDXYbrp2D4x3Kcv99qn +ZwA6pMlfzqcvQXPPGz/WP/8KbXtnV923JeHVkdWrW+6NgLH/921Bm0losCdg +QpA3Ardjpo85/0lCDcvBitSWEbCvHE9eoU3Cw1niXt/Io1C98SsrR5SEhqmi +1elbR6FQtX2xOksUHbel1p1+Nwppvfk1IlRRPBZ75vTu+jEY6iZ1lMcuwgZx +2UIqeRIGW4DZFrQIFS3P3q5RnYT+2rM7htwXYSkjlO22ZhL+K5jOp5kswtTu +YfKc4yS03h2M39e3AHrxJdYd6ZNQblu375vRArjfGNOOsp+CpMLEj9SWOTgr +EsN9nj4NDklE9W7uLEiNff7nfdQPkLOpUVyYm4TQVVJF0omL4Lhl/KRwdAQC +dsaqeRgvQQnao6SLcr3wqqNgkekpiSFeEz+/lzfCUde84oJyMvYrBduWRnqZ +6C9zMv98Vh7X9tTGmrU3mpi2Xm9jmdIxIrhdLXhJr8mK23VCwyVMpPuNsf4b +HzHxiJz9FKHHxotm2ZnSilMmwoSRyyqWyniTXzvRqzhr8mVYX+KCtyoeD4Cy +wuBFkwnqg2HFc2oYlLlSvWgLieiIrAzvWLUUM1qOaD2SEid2uPaKUBWW47qI +yeDZ25LEn/763Np2Ddz27KWer7IMkZB2sUHrkRZaiB383f2jLLHp3SGewV1t +vPvfQbfGw1Ri+GzeCTdfXfQIXHamk0YjDJT80lT8V+IO02x3N08F4oIYsenD +en08WO4hlppJJ9LvqUTc0jJAJw92oRaFQbSSLeleuqvxRt34CuddTMJ0VVJp +juoavOLTm7sylkU0c+uJVxRD9NV+f9x4XInYpP7e0E9hLV5J/Vy5yOMQxZ9W +nFAV56GZWv502kYO4ezddNNRmodzd+6p2ZtxiDGdqbdxcjz0CXc4lbqdQzhe +8ODIM3no4FWnbuPCIXJOpUuLavJQ07D0dNJ1DiHqOiDo2czDEkjXtPjGIUQk +oznPIngYuC7CdmSMQ4zPrCvsj+bhuufu5+7McIiMzVnHl9/i4bMkzfohEpf4 +uX2mJuE+D29eTAyMZXOJe9MuwusZPHS2utXYt4lLyBSi3b+1PFQu9hOJ2fbL +H7R4Lxt4+HGjrc5GWy4R+JapPN7Mw60rqRei/+YSlwt8xz26eLiadkV3/T9c +gp+cXX5wnIffrrjt6TnNJar4taXx0zzkkzYFR57nEqvX2pa3zPKQM0lq7rrK +JYZWeDfaLTHCBs8uUkQ0l0gzInVFSxrhtV7Q48VyCVfV/pEqshFuPpDg0HmP +S0gJlUlkeSMUbTobcjWRS+wQjWdtVjTC/wGdxpiz + "]]}, + Annotation[#, + "Charting`Private`Tag$10841867#1"]& ], {}}, {{}, {}}, {{}, {}}}, {}}, \ +{{}, {{{}, {}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJwVx3k41IkfwHFHBptyzDAZY2ZcSY5R2pQw321rJ6r1c7SSrXnWszZhV2J7 +fsoR38mdGXcoOScdw44aDPL5uMLaaJeOFUVsS1KJll3T9vP74/28n5dZUIRP +sJqKikrwav+/xzqxUGuzPc7soLXSU0mwmdWnWt62wyS/+EivVWv15Zbz3O1Q +kZSRm7/qaYmhY2CvLSooAU/nVt0jLGw77WOLz3NyNY6mkXA1yPhgzuhmdM0Q +L06vOpkoeSL9bjPuf/iRVZROQjDLNLTvrQ3K3ZJenM4gYa+ydHnqjA0WWV1g +ZGWSYDnCSVHRsMECWWjR3AUS1jRVGDJFm3Du7jSjRkTCZL5llbPxJrR3S+Q+ +yCahM0qy1bfSGsWnxIk5eSRUeG9q/8HeGnn8Wyc0LpKQyL3uld64Ed3h19mv +L5HwzTq7p9WfbcR9r185D5eT8NmsNLy93wqPXe65L68hgdPHXRk9ZIU35N6k +QEaCylVZ2vIzS0wMHP6W30rCM6HTBlqoJbY0D5io/UwCBMkl3EUL1KYqez2f +kFBKOH+6P94CK/kUpc48CXEsRed3WhboGsLYFakjhKNKF5+kHHM8knG055WD +EFxHWscvM81RVzwTdeiIEJhN7hEKiRkmuLaU/CMWwko+fhh2NMNIi8KUrgdC +GInanfm2mYMsevfLQLvz0OzdxdDZy0HG2u7UwKLzsFWQ6eNVysaIttGSLPNk +eMcQRyTXs3CgTOrCG0wG2cPczDt3TfGQrVXfxZoUOJlTeG1xhIk7/z6XYNGc +Cg5flty1fWOCspQjngKDdJjTvjIZpG6C2c6MzvOdGSDtrlAppjPwmfrn/bFT +FyAsUWL6q60x0vTftah5iGGz23UXLWIDtg/susNYzoaZZak/z4+OccITmhuN +8qDmtiz6dIgRNu2OOnAWCuD4SXm2NNYQa6Vyhyx6MVjZKWqnxDT0nxFMVXuW +wh9/tvabVFNxMOC3s3/3lEN1JU77KAxwfnncX9uoGoIEXRrp9/QxfnrLZYrL +NTA36TVvn9DD6Tz+rbCQWgBpYcLbWV10HGeqPTxZDzyrK4pjtPVoLRBF7jjT +AM2XJAu/uOpgTFXdsX8TWsCFVmu/K/gTjBvkF1eOISgy5MevXdBCV5PufRON +XbBN/U45vYGC/Y1bwnae7oPbZ7qenH+6Bst5dOqbvYPAfddvuEhRR9ffOhMf +2g1B3YkhryCuKtZHj8XviX4ERzvk1PK6f6H9JeMmo2AUfGVdKXEqK5CUv227 +yH8CfMuGVgK8lyCgyNtfd24KPETPI7ZXLIDqcNnSgNEMZCuf91i9eAPDB98v +FIzOgXhE5aenKdOgeDRYW1s2D7FNrIuFNhPA/qXtK0r5IizaxaiUFwzB+KsC +L6+XS+BUObR7f8gtMIW8m+NRKxDcwGr7q6uTl+/beLJ0y0fYfmUoS/vKY96L +9DxV73RV/Gl+/7N+6SQvbvz3RG6yOtZTHZYMdGZ5nZSXQrpQA58zUjXtP53n +qTn5hQpjNXHSNib3P1OLvNJTVSnkCW2ccg1lR+cu84qPO0m4/LX4+mDgjcLd +Sl7qLpFDL3Udvj52wLll/iOvYXTyccjgelQ2ln4TcV+VoLTx2R1uehhLFFqr +1qgT4QWOntbr9PFDr2guJ0GD+LFGGct6pI+J3qm3LP01ibd/ZEgeXDJA1ZFz +MQ0O2oRF5NSgn4CKyUExvH2UtURfHe+HaDYNNWcjNUbGdIg/Fw52jI3RMCUq +tD9Mvp6I0NQ9q1diiGviZb3xX+gR7PCsfaH+RujRIb3B36pP6HJDwh2odEyj +XM/SYxkQJY6nDmcO0LHPUxL5uzaV0LKj61SnbUBtUYVfxXsqUdWesF20xxg9 +hkqdwyZoBJMQeBz5aIxZ9BLGtnuGRNlhRb1eMwMHAgs/KJuMCOltfqQi2gTX +l+WOd1fRieKmJYcALhO/nBJ1Zok3EN9e7VBfmGFi1qZMiX+sMcEJvfZPapUp +DoWnpnFCGESNsjGMKWAhVSYMn/E1IZr6/7uj1piNfu/PedXzmMRhC99F92E2 +5u2M23rW1pRY/HAz4Tifg4/jYgz30FnE7BdqB+qqOGjc8eOyjjqbcCsNX/hL +1QwDKKeePHjNJj5P+YR0F5jhAStngdf3HGIl4yv15FYz/J4vv+80ySFMBX0x +94zN8X+RnioD + "]]}}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6]}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-8.144860364541588, -4.851467865055216}, + 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->{{-8.144860364541588, 2.67851413667637}, {-4.851467865055216, + 0.012064355914590463`}}, + 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}]}, {{{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {-9.210340371976182, + 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.}}, {-7.600902459542082, + 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.}}, {-5.298317366548036, + 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.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.0106352940962555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.995732273553991, + FormBox[ + TagBox[ + InterpretationBox["\"0.05\"", 0.05, 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.}}, {-0.6931471805599453, + FormBox[ + TagBox[ + InterpretationBox["\"0.50\"", 0.5, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 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.}}, {-2.8134107167600364`, + 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.}}, {-0.5108256237659907, + 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.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{ + 3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, { + 3.799266537137291*^9, 3.799266566547916*^9}, 3.799267214795848*^9, { + 3.7992673562244177`*^9, 3.799267378909185*^9}, {3.799267486866403*^9, + 3.799267529436865*^9}, 3.799267983310302*^9, 3.799268083810974*^9, + 3.799268152298849*^9, 3.799268659972763*^9, {3.799275172550398*^9, + 3.7992751917695503`*^9}, {3.799275462898712*^9, 3.799275514997849*^9}, { + 3.799275557295232*^9, 3.799275571129184*^9}, 3.799275614254651*^9, { + 3.7992760202373457`*^9, 3.799276034288312*^9}, {3.79927621051716*^9, + 3.7992762785901623`*^9}, 3.79928076478865*^9}, + CellLabel-> + "Out[1024]=",ExpressionUUID->"eea760a8-cca6-4926-9535-8ad78a516589"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"\[ScriptCapitalY]3D2", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]], "Input", + CellLabel-> + "In[886]:=",ExpressionUUID->"2318596e-79a3-4757-92db-6dbc40672c71"], + +Cell[BoxData[ + GraphicsBox[{{}, {{{}, {}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJw1lQlQU1cUhsMimAKVsCQhbAl7tQouRdzIlaXWWlGJFC1TAZGKAgJqB1xa +al+UqARFQQQREQJUrFCEpDDEuYcpUFGwKmB1NCIF0VpFCIICBUpzr2/mzZsz +791z//Ode/4n2poQHK3PYrGip+//n2HlRbMLjNxhtiZu/Zs0Bi+TudTVnXSD +0leTD5xkDBZ8U7qqU+AGUw2rE7+ejsf8Pe4NKFzhtpfBgrLp+L6ofJuppyss +5VeaGh5lcO3UnCH3OhdI9JmjTZmOz2quHPL3d4FL7nw702MMTq73NA9vc4Zv +o1QRTdNxaG5Vwf5QZ7Cerz5fcZzB3skL557pdoI/5B2+HekMtg5R1lfFOoFW +MtAXmMHg4QWLP28bFkGtT3wg7ySDO8zr7j9PFUFhcqxT5CkG1/Qv3W74gQgu +q/J+8ctm8OlW9bBjlhAyVSnePWcZvKfcV7rMQQivDYpd955nsML8kGvFekfI +/VelXljM4KhWqd/TbQ7w05WzoYnlDHaWycLt9tnD0vjl59KrGfzEP/2gRG4H +abYqpSFmcOHUidxjF21hquvt6N42BofXn1Y1KAWQacadX9TFYIfknPZ3LTYg +f21iIR1h8KMF5wY8H/NBuYKzK9hSis/1F5ht1/Kg15bTmL1Yikk/eKDOKbBd +Hi2l/Lng3eu2srpASnlbQ+DwaCP7mRTn6PhaQchgRgrf7zD+UsfTEoI3785W +1Rym/Cxg9b3agPGAI5QXB35rbn1xYuwI5WMOePPcJF5XGi7W8ZgFMyf236qc +lGGRrn4zaAk3DsqKOUbrNQF7u/j8557ptD42NK22SlDFZdB6jEFx90BXVsFJ +bKPTbwQs02Y9edQpfEan1xD4qdyb7/KzqD59YOfqlzAxOThTp4cFA14SGfon +Dwt1+09gG8XVrXGSC1io228UFxXofbEqvghzdflH8HfVo4N6vSU0nxbf7Is9 +MLmkHPN0619h88j6Z/tKKjFP930f7tnH64haVI2NdO81OKJuZZL3zl/xDF3c +hi/3l1YoFGrMoleiZsuFsowGvIG8F791rr7z4ngT/oisF4sEh+rsk25gD5Jf +vHjH77c8PrmNZ5P9xcZHf7xn2NGOuUSf2KtQtmVy3n0sJPrFG6NaLqZHaN7X +J15SNJbs1dBN10+IFQ+0VZ0hT3E24YNanX38MpP/pvn0UXvjMOv7j/txHuGL +hrKLNwbUD2Jbwh+t0Ahrwy69wYWkP2jbRACOfPSW7sdGel8d9ZSvHX/fX2SS +VbamfGgSu5L+o8iYzpktkXpQSs4HehUz5hO3yQCIHnP0Z7NrYHDoDOgk5wvl +t5QFBW0yBqLPAq0deZfRE8KGTeR8oqvd/IQLa0yA+IMV2pOAOOu8zeAhOd9o +MG1KybaaBUQ/F12/dr2Ivdsc6Hygz+RcyQYJB86T+UGS7IaKtfMsQEPmC72U +cMIUBpZA6rNBvkZVLIsOS4gg84n6W/w4IYVWQOcXyS+mCoU7rIHON/qBvYix +8OQCqd8eNd4c2q/UciGa+AMyyOxad7CGByXEP1DeEmtO814+UH9Bu35u4z5Z +aAPUf9DLvx4qZ2ptQEn8CX14g9WeVCmgvESop7hqnn+cLVB/Q8Ka0rB8DzvK +zwkFXRqJONNrB9QfUarw1KzAQnvK0xk1ILV1bZgDpBB/RU8Nwh6Ocx0pXxf0 +uNt7vuCuI1B/Ri8DBuLlnwopb1dUntvE0lcIYZz4O1qRvhPF64kofzfkO1kq +uLNFBPT/gPp2tnA91SLaD3d0LWRGrMzGCf4DD3UaIQ== + "]]}}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-12.48232977929498, -9.75732621531558}, + 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->{{-12.48232977929498, + 11.512925464970229`}, {-9.75732621531558, -0.009536656097778169}}, + 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}]}, {{{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {-13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 13.815510557964274`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 13.9108207377686, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 13.997832114758229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.077874822431765`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.151982794585487`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.22097566607244, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.28551418721001, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.346138809026444`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 14.403297222866392`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-9.210340371976182, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", 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.}}, {-9.903487552536127, + 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.}}, {-7.600902459542082, + 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.}}, {-5.298317366548036, + 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.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{{3.799276028783091*^9, 3.7992760345259743`*^9}, { + 3.799276217189198*^9, 3.7992762447074137`*^9}}, + CellLabel-> + "Out[886]=",ExpressionUUID->"f009646b-1bd8-4671-9fbd-0177f292755f"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Series", "[", + RowBox[{"\[ScriptCapitalY]3D0", ",", + RowBox[{"{", + RowBox[{"Y", ",", "\[Infinity]", ",", "4"}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7992693099828463`*^9, 3.799269323028038*^9}}, + CellLabel-> + "In[820]:=",ExpressionUUID->"006bbc42-4350-4701-916b-12c46a414c41"], + +Cell[BoxData[ + InterpretationBox[ + RowBox[{ + FractionBox[ + RowBox[{"3", " ", + RowBox[{"Gamma", "[", + FractionBox["7", "3"], "]"}]}], + RowBox[{"2", " ", "\[Pi]", " ", + SuperscriptBox["Y", "3"]}]], "-", + FractionBox[ + RowBox[{"27", " ", + RowBox[{"Gamma", "[", + FractionBox["7", "3"], "]"}]}], + RowBox[{"2", " ", "\[Pi]", " ", + SuperscriptBox["Y", "4"]}]], "+", + FractionBox[ + RowBox[{"70", " ", + RowBox[{"Gamma", "[", + RowBox[{"-", + FractionBox["4", "3"]}], "]"}], " ", + RowBox[{"Gamma", "[", + FractionBox["7", "3"], "]"}], " ", + SuperscriptBox[ + RowBox[{"(", + FractionBox["1", "Y"], ")"}], + RowBox[{"13", "/", "3"}]]}], + RowBox[{"9", " ", "\[Pi]"}]], "+", + InterpretationBox[ + SuperscriptBox[ + RowBox[{"O", "[", + FractionBox["1", "Y"], "]"}], "5"], + SeriesData[$CellContext`Y, + DirectedInfinity[1], {}, 9, 15, 3], + Editable->False]}], + SeriesData[$CellContext`Y, + DirectedInfinity[1], {Rational[3, 2] Pi^(-1) Gamma[ + Rational[7, 3]], 0, 0, Rational[-27, 2] Pi^(-1) Gamma[ + Rational[7, 3]], Rational[70, 9] Pi^(-1) Gamma[ + Rational[-4, 3]] Gamma[ + Rational[7, 3]]}, 9, 15, 3], + Editable->False]], "Output", + CellChangeTimes->{{3.799269317809338*^9, 3.7992693233952913`*^9}}, + CellLabel-> + "Out[820]=",ExpressionUUID->"ce5323a2-df69-4a10-b0ff-e0cc96b8dd81"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol3D", "=", + RowBox[{"FindRoot", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"3", ",", "A", ",", "B3D", ",", + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], ")"}], "-", + RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2"}], + "]"}], "\[Equal]", "\[ScriptCapitalY]03D"}], ",", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[ScriptCapitalF]Dinf", "[", + RowBox[{"3", ",", "A", ",", "B3D", ",", + RowBox[{"2", "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], + ")"}], "-", + RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2", ",", + RowBox[{"2", "-", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]}]}], "]"}], + "\[Equal]", "\[ScriptCapitalY]\[Infinity]3D"}]}], + "\[IndentingNewLine]", "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", "0.873"}], " ", "}"}], ",", + RowBox[{"{", + RowBox[{"x", ",", "1"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input", + CellChangeTimes->CompressedData[" +1:eJwdxVsoQ3EAB+DjzmrFWokkkkzkkZKdzazkMtcXD2NsVm7FQm4va1uihCYi +ZcciNiwKw3JLbXtRy3ghl6aQxgOKxDi//8PXl6xsr1IHUxSVyMIpl74jeZk/ +/7K+6wRH7ohduM1gJ1cfKTzY6VWRdaOiW7xeLHwlG/UBPHfFC6pl395L5OMR +nioOLyaVJ2H+4Ts5XtopwJuuiCz8YbkW4YRWRoKlL7M1uFxkIgvcxmacKVX3 +YmFAocVj9ikdln0apnFF9jI53Kux4YmcPrKTQ/vweePqPa5uGn7E9fujT7hD +4/rF4klbUB37qZ7JxeOOqgL87JcVYVMMpxRz5Np53FBpIP8c0xa8Mni9gpn8 +UAe2GgMHmKa7vbif4l5g94L+BmcyMw/4j44NUbAPmvPCsDrnLhUv9ZjT8bdA +wlWyv6VRcdgaXbiGv363NvCQ5tmOB8xRu/j8rCRDxd7isZH/Ae2F6OU= + + "],ExpressionUUID->"27eea9ee-2a5d-4f05-8734-d219fc426001"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "121.42766812245273`"}], ",", + RowBox[{"x", "\[Rule]", + RowBox[{"-", "0.5137709909820795`"}]}]}], "}"}]], "Output", + CellChangeTimes->{{3.7991808216993637`*^9, 3.799180862108307*^9}, + 3.799180931732389*^9, {3.799181152977585*^9, 3.799181170650926*^9}, { + 3.79918120951182*^9, 3.799181235476692*^9}, 3.799181310544929*^9, + 3.799181426296399*^9, 3.7991817476456003`*^9, 3.7991818351033792`*^9, + 3.7991818844933453`*^9, {3.799181982574071*^9, 3.7991820058082457`*^9}, + 3.799182112820698*^9, {3.7991822055781727`*^9, 3.799182269579906*^9}, { + 3.799182318744883*^9, 3.7991823466453733`*^9}, 3.799182492439032*^9, + 3.799182675941188*^9, {3.799183141231515*^9, 3.799183167976919*^9}, + 3.799183296468463*^9, {3.7991838386913853`*^9, 3.799183900350835*^9}, { + 3.799183962976*^9, 3.799183974335788*^9}, 3.799184129380135*^9, + 3.799184197922843*^9, 3.7991843375981607`*^9, 3.799184615949195*^9, + 3.799184690319317*^9, {3.799184725675857*^9, 3.7991847304805593`*^9}, + 3.799184776060902*^9, 3.799184906760455*^9, 3.799185089157001*^9, + 3.799185272860224*^9, 3.799185673940814*^9, 3.799185777966242*^9, { + 3.799191736845262*^9, 3.799191754834922*^9}, {3.799192951977117*^9, + 3.7991929813185577`*^9}, 3.799193035541163*^9, 3.799193361859312*^9}, + CellLabel-> + "Out[597]=",ExpressionUUID->"4c1c7f2e-bd98-496f-9c19-5c2f5984d5e3"] +}, Open ]], + +Cell[BoxData[ + RowBox[{"\[Alpha]", "\[Equal]", + RowBox[{ + RowBox[{"-", "2"}], "+", "b", "-", "x"}]}]], "Input", + CellChangeTimes->{{3.79919261886537*^9, 3.7991926382454243`*^9}, { + 3.7991927560075903`*^9, + 3.7991927764640102`*^9}},ExpressionUUID->"02602239-d318-4b4c-bca2-\ +75a6959e28e9"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"-", "2"}], "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], ")"}], + "+", + RowBox[{"b", "[", "3", "]"}]}]], "Input", + CellChangeTimes->{ + 3.7991922434389668`*^9, {3.799192642614909*^9, 3.799192646773348*^9}, { + 3.799192717743801*^9, 3.799192721214778*^9}, {3.799192819625495*^9, + 3.79919282456857*^9}}, + CellLabel-> + "In[570]:=",ExpressionUUID->"74557ec2-7320-4358-b59b-b60f052605f6"], + +Cell[BoxData[ + RowBox[{"-", "5.124554116032709`"}]], "Output", + CellChangeTimes->{ + 3.799192193110507*^9, 3.799192243688374*^9, {3.799192643503888*^9, + 3.7991926469269857`*^9}, 3.799192721385689*^9, 3.7991928262199383`*^9}, + CellLabel-> + "Out[570]=",ExpressionUUID->"5a4cb81a-c140-4840-ab25-fcd2c3822afe"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"2", "-", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], ")"}], + "-", + RowBox[{"b", "[", "3", "]"}]}]], "Input", + CellLabel-> + "In[574]:=",ExpressionUUID->"f8217cbb-10df-45d3-9a07-59dd1f45b1fb"], + +Cell[BoxData["5.124554116032709`"], "Output", + CellChangeTimes->{3.799192873953746*^9}, + CellLabel-> + "Out[574]=",ExpressionUUID->"5d02ac43-daee-40d0-9a12-41e167c67112"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"f3D", "=", "\[IndentingNewLine]", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"10", "^", "X"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{"3", ",", "A", ",", "B3D", ",", + RowBox[{"2", "+", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", "2"}], + ")"}], "-", + RowBox[{"b", "[", "3", "]"}]}], ",", "x", ",", "1", ",", "2"}], + "]"}], "[", + RowBox[{"10", "^", "X"}], "]"}], "/.", "sol3D"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"X", ",", + RowBox[{"-", "3"}], ",", "10", ",", "0.1"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799186041403411*^9, 3.799186126628837*^9}, { + 3.799186190751062*^9, 3.79918623090308*^9}, {3.7991863585782833`*^9, + 3.799186382337936*^9}, {3.79918641243556*^9, 3.7991864749397583`*^9}, { + 3.799186578142921*^9, 3.7991866089031343`*^9}, {3.799186657440488*^9, + 3.799186750385108*^9}, {3.799186798498782*^9, 3.799186810058077*^9}, { + 3.799189470805127*^9, 3.7991895021757317`*^9}, {3.799189574166396*^9, + 3.799189604302071*^9}, 3.7991896483998623`*^9, {3.7991897250892553`*^9, + 3.7991898033621197`*^9}, {3.79918984022735*^9, 3.7991899595243196`*^9}, { + 3.799190011846211*^9, 3.7991900251654673`*^9}, {3.7991900669279337`*^9, + 3.7991900679020853`*^9}, {3.799190110126849*^9, 3.799190167824006*^9}, { + 3.799190242035375*^9, 3.799190311914507*^9}, {3.7991903524280663`*^9, + 3.799190394541931*^9}, {3.7991912080761347`*^9, 3.799191221947803*^9}, { + 3.799191585747162*^9, 3.799191631202334*^9}, {3.79919176253403*^9, + 3.799191772957157*^9}, {3.79919212479*^9, 3.799192182516811*^9}, { + 3.799192238199195*^9, 3.7991922918231993`*^9}, 3.799192475523487*^9, { + 3.799192649230721*^9, 3.799192713830935*^9}, {3.799192781304996*^9, + 3.7991928072741413`*^9}, {3.7991928479623404`*^9, 3.799192861092866*^9}, { + 3.799192917340831*^9, 3.799192917586598*^9}, {3.799193011510306*^9, + 3.799193042509095*^9}}, + CellLabel-> + "In[598]:=",ExpressionUUID->"4487704b-a752-4a59-8e06-93cfdcf2efa9"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "slwcon", + "\"Numerical integration converging too slowly; suspect one of the \ +following: singularity, value of the integration is 0, highly oscillatory \ +integrand, or WorkingPrecision too small.\"", 2, 598, 181, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.7991928532905188`*^9, 3.799192861525301*^9}, + 3.799192918704892*^9, {3.7991930171484947`*^9, 3.799193044101475*^9}, + 3.799193367307992*^9}, + CellLabel-> + "During evaluation of \ +In[598]:=",ExpressionUUID->"af143904-6bad-49cc-81b2-d5813c06694c"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "slwcon", + "\"Numerical integration converging too slowly; suspect one of the \ +following: singularity, value of the integration is 0, highly oscillatory \ +integrand, or WorkingPrecision too small.\"", 2, 598, 182, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.7991928532905188`*^9, 3.799192861525301*^9}, + 3.799192918704892*^9, {3.7991930171484947`*^9, 3.799193044101475*^9}, + 3.799193367322604*^9}, + CellLabel-> + "During evaluation of \ +In[598]:=",ExpressionUUID->"bda19aa9-38d2-4d49-b9ef-45065324db9e"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], "Input", + CellChangeTimes->{{3.79927184913561*^9, 3.799271857942545*^9}}, + CellLabel-> + "In[827]:=",ExpressionUUID->"4fc284a7-247e-45dd-9def-6554eb5075ad"], + +Cell[BoxData[ + FractionBox["16", "15"]], "Output", + CellChangeTimes->{ + 3.799270494203684*^9, {3.799271849469396*^9, 3.799271858285451*^9}}, + CellLabel-> + "Out[827]=",ExpressionUUID->"9f08c712-4807-4c97-a78d-e18a03a1e257"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{"data3D", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",", + RowBox[{ + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]3D"], + RowBox[{"#T", "/", + SuperscriptBox["#L", "#D"]}]}]}], " ", "}"}], "&"}]}], "]"}], ",", + RowBox[{"PlotRange", "\[Rule]", + RowBox[{"{", + RowBox[{"0.005", ",", "2"}], "}"}]}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[ScriptCapitalY]03D", ",", + RowBox[{"\[ScriptCapitalY]\[Infinity]3D", " ", + SuperscriptBox["X", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]3D"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}], "-", + "2"}]]}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0.001", ",", "1000"}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"#1", ",", "#2"}], "}"}], "&"}], "@@@", "f3D"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.7991535473962*^9, 3.799153571156912*^9}, { + 3.799153605781364*^9, 3.799153627221924*^9}, {3.799153677687544*^9, + 3.7991537255436487`*^9}, {3.799154305347486*^9, 3.79915431633066*^9}, { + 3.799154594383874*^9, 3.79915459509507*^9}, {3.799157170665045*^9, + 3.7991573112669287`*^9}, {3.7991574824721327`*^9, + 3.7991574832935534`*^9}, {3.799157571048935*^9, 3.799157637088265*^9}, { + 3.7991577429476*^9, 3.7991577430392933`*^9}, {3.799157917022194*^9, + 3.7991579325810432`*^9}, {3.799160041210148*^9, 3.799160049649089*^9}, + 3.7991602283348923`*^9, {3.799162574233603*^9, 3.799162595088484*^9}, { + 3.799162630122691*^9, 3.799162633665331*^9}, {3.799175779006465*^9, + 3.799175780288958*^9}, {3.799186144110606*^9, 3.79918614907749*^9}, { + 3.799186206375761*^9, 3.799186223511066*^9}, {3.7991862601536694`*^9, + 3.799186318640732*^9}, 3.799186367170905*^9, {3.7991864225880613`*^9, + 3.799186428524028*^9}, {3.799187286460462*^9, 3.799187373699503*^9}, { + 3.79918740822008*^9, 3.799187429716454*^9}, {3.7991876196164217`*^9, + 3.799187625327568*^9}, {3.799188939837101*^9, 3.799188945619155*^9}, + 3.7991917850870867`*^9}, + CellLabel-> + "In[599]:=",ExpressionUUID->"2144109e-e31f-4853-8a4e-968e7e738bbc"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], + AbsoluteThickness[1.6], PointBox[CompressedData[" +1:eJw9lFk81HsfgMesxtjGVokURSqE0Kv4/3PSgmytiGOLhOxUsqZdikQmSaKF +QyglS98fRVkTRZF9Hfsyg7G+5715L57Pc/ncPZscvSzPEAkEwpd/+Z+zJhI0 +BBKYiL0/WOr18RtwxX6X1MM+UWRDKQzmVkRBj0GntytJBI1Y+IW/cQiHNnOv +jCupQujeAv+d6GAfuK2R6fFETxAJe8mD8fk44ET60YpbBVCJe9+zhJlkCLVu +6fkRREcyIS+yO1EedMVbKkxL8P+/V1zK7yKUT0Vslbqg1iN58NTixy5lMwrC +fB9d0bDLgvxojvOBURIaaRZ2P7HtLThT450cbhKRjc5+PSmxEjBr6dcPVeRD +hr9jGvkSC2B4q22S5vVV8I+kHkyIAPBccjdyL1sCk9upXul65WDhmqDybJEH +fHMEzpYdFfAi1nSlVWsOFs+2rzdpr4QZRtc6MW8O6J52rzRRrIbAzvHqw5lT +8EgyKGo84Bsk1HbPCFSNgTMhgim70gh/s9OWffWG4MPbgjVhh5thtr1iV3de +D6i4xetXdjeDsvNJxYcmrfC7tOvkR4s2cDuq2c47Vw/U2WAjLrMTwoINuWEX +c8H/NJ8GKasbajrTLIR7izH30lrNmqo+CD1iEdMj0oh9emR63ba+H7ZVW4vQ +ldqxEru8qbhrQxB2y4IgLteH0UYIN1IXhoH9QLUqPZONWcz9JaNiOQ45XfIH +dmlPYO2KXXa/nSfhXlLq/R77aWyoQyZlVXQadHoyVjMVuRirL61coXEGRl0l ++vxG5zD5yAqrHH0uREoWMvTyF7AkjsKhRrU5GGJE+VIvLGNpb40D3XfzIDEs +FhvYQMD5L1n/VT22AL7lX/OqI/jwseR3rPHaJdBLYhm+7iPiYZUKsqyEFaA/ +tA+JO0jGvZtCLwlcJCBxYfPVwEwKLiGp91T0NB8aN7/uYyNEw00tfgbxsoio +UMmKgnvz489Gn/OrpZBQlMrEgkITHX/J8SO4F5LR3WRhoGkzcBVPn5OexRTk +1mmoPvpQELfn0lUX2VS0fot2E9wRQx714U6yIX5QZRLAMfnDRNnZZToVTyKB +V7UppHUbE3nPUw2LV6/CgoDs8YRLooih4mvfpO0LLspTDmN3RdB7Jzep/Rkh +IMXYoUxXEUYtdmnqzpqBAEVnjmypFkQm6saupT1pMBWd5om7MhA3mNizbJ8I +wyyNtNNkAXT4O8lH/d0jYF32dLvwlB8F8myOzlp7AKlOmxyvT0OFT2Oybhe9 +gjvprM7sNgqSKyM3Rbk8g4kOyY01F8ho4+D1pI4TuVBNq3UckCQhh8/nc6z+ +vIPcR4nqxDd8iDzbWfiElQ/lze8d5MwJ6L3V2U3UegSDqTnIv3UZVBovzr/g +fYBSA8ugHIlFmLsXzl6R/Aj00t64ftN5eL3jnyjr6jKIvjf9l+xNLtg+Homa +la4C70UZpeOfpmHLsX/WDBysgVvGmRPrFidA7wsa/cNsAAW8TvGG1zCcFKq+ +tL79OygPDt+Y6+0DMS+RzqNPf8Izdntde24H+JCUbFH4L9BRsO/OTmqCpjJV +NbfENqhba/JEglIG1ufpE9+5nTBq7Zu8mp6OFT85pa6HeuAF4+GJwJM1WPPL +7KW3rb3w0jxe5lf5L+yOE01kZ8kAlGgqtSyPdmPSBXtSj2xmQ0To+mN3Lgxi +2TYMO2n9Ufi9NzV+I3kMu24/lK6VOg7y6mnXWg5OYQ2mPZF50lPQ/E7UPVWI +gx0Ns5OBomnY/eeW8tmmWYxQUP/qyi0O+FCkWTuTeBjr+4sP74/PwjpTOSrP +bgk7kOqREVw5B3VNd4bLNq9itEUhgclOHuSjtTcNuQQ8/aDi85Ndi9BfHLp3 +2yki/twRk/4UsAw3tOoNhIpJeERbhIJG5io4XqAUTMlS8OcnNieZlRGQilnL +oeZwKp5Douvm/+FDC0ceh3/opeEpVqTjWtVERP4cTUw5QMfbPNxWuwlk1EH9 +7B/5SgBXek7ovLZERq/aH/C7CgrivYh9SFmKigJ6t68YeQnhp/iut2w8QUPh +lsblqo3C+GjptDkWxY+yjfaxbkqL4qfL8rp5MXS07ktMwABRFPF2bTgm4nsD +7rY/UhlME0aaykYulVmRMNHC0SfiQujM5OHCkuzzMGk1Mn6xk4Hc1+wJsDvo +gDl6pj3XvSSAetuqqckBYZi4WbvniTV0tHCR9sMb0qBkRSrO9y0NxZh0x9Vc +9IfxhqP5dyyo6Mg2+lhGOQsGO3oHXo2TkbXgu2S6cSwkog05FbdJSCpRJc/z +7TNYFR061L2ViExdq/hlHxfArSHjzYsVBLQh6po8rp0FvwxjqnZWrsCaosiV +4QdlEJO4YOpKWIKcmqxPGY+LwApiR1N0eVBuN8OryUVwWavR5Lf/LAj7yu5T +r6iE7q1MI5HXM+BZgtk6eFTBu+q3hMPsSdD8uzRfNrUKyLeidxMOjoKXYhrI +KXwDAfVMllfxAJxzi//5T0ET/KCu2neqdcMDrxcffjf/gsV3HeSUQy0gMCOY +/sb0N1jihwc4jl/h3trtpJPj7WDcuxJwPyMWzhAKWCpXu4AzqrbOm/cJi4iX +WV3Fe6G3RJI3KP4TW99BERyK7oc2tmvFVckuzH3DqGBgwxCUSBIHpZ/2Yxc6 +PFsGcoZhdror8uWOEYykedv2+tQY7IwuD1l/ehJ7ZCHt53Z3EvqZ6o59m2aw +azv/ThNBU3BQJ2vjP4NcLIqaeZyiPwN+CWMoIHses4nYYthtwoWtr7DlvX6L +mPVQxHCD9By0q+Z0U/6zgl3u20u1vTIPG7dJNLiEEfC8mZ+1FXkLUPLRht+4 +hw9PjSMVnghcAlEnO301QxKeMbzJx1t/BYYzHuSKvyTjRYYf2No6BFRw2XX/ +vAAVN+33dDfA+dBQUN3cH08afiwI8Rs6E1H0lMwKNPDjY+ev9irvISGXXce8 +0zUFcLn57yX+h8hInaFIvpnAwNfaHnohEUpBK/TRPR48QbxEfddfQzeoiBbe +Vmp+Whjv+FZBkYunoZ5ysZ1aIILHynoxUT4/ajaZ7haMFcWdDpzY8HCQjkrM +Sv+EGjBx6rpVdxc6AxnQ6j5OzjDxkOIA1z1rBNHrl0NzjhliOG5Q/TbcRQgd +U3B8an6chmQ1xahjZizI9e3qPTdNQUV3d+b4CaUB0/M/3Kt3yejopzpvjYIb +mNiEWsayKgkFt3xm5H7NgavEwdMfq/iQnzAj835ULGj1bdrc6kJAQQ7tz4JP +vYFSpff3RmkroJ61vce34T1sqt35Xd5gEaw436OtdhUBc8hc1+byPOycui+3 +4FUAvlmVX+PecYE/WLobnSmH/SZWK1WT0+DRkixv31ILpxY3Fixvm4Qn7U4+ +n0JqQbdL1cO7ehg0P+bU7uith/QrtKB2/X4Ql+g48k6nES4+d3dOcukEoXhL +fOvZFqCEefZHmv2AIIZS+PjtNtiR1Pi2wLsc3LVUpGbKO8CyLDK3b+Qxplw4 +keVr3QXVV6M+fBqpwsRDeBbXBPqglXNtLUnoF6bLWH9Ult0Pz9LHK5hx3diI +mm/zIHsIFsxCN6fJDmKLs9+usr8Pg6ONzZjmq1Hs3MfdBf7UMVBtTTF0lJ7C +ZBOcuEaxE2DVlJyg2DWD7f65frAjbQo4+0tipzNmMV3W2jdlNA68rN4WWOzO +w/i6lNgjRlxI6pqjXlNfwo5WWymbR8+BttngD5O5FYwuu/bLgCwPZnOT+W91 +EPDYC6fQXPMCNMw0XTq/j4hnBDX0DZotQSSVaW2ZTsLjnFMGOG7/fkZbY5sO +jYLPNzTIMA8RkC9m81X6HBU3rt9Qe/8sHzKJjNNdraXhMkbcqgVVIlqO/7au +V42Ol5trzL+3JyGW8hrLL3EC+B7uQr4KTkbjdetuZHEZ+LlE2zX7PCjoq6jF +wt1TQngHsXE4x4yK4gblY/yLhXH5j5vogudpyMnnc+oOEVFc2qnoYeAdfqSl +OqqQgkRxfzpHuPsWHaV9o9mK+jJx72klcUK+AKIVTz6PVBDDjzjtCTIbYqDz +RU0GnB9ieB9Pt6t2VhD5BdRccbkmjjssPF912yuMuqQGS37pSODbZ+8V4QdE +kCGxgWrMlsBbI/YNyKmJou2UR3ylLEn89pqs+vdfRVFeSWavqokU3mhYmBvp +ykQb7Cplni5L4eWG4uH+K0z0X876cvA= + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJxTTMoPSmViYGAwAWIQ/UV1SVvXQukDihvOTnFob95v94ejbJMYgt9+KTf1 +VrcUnK+avn77uThJOL+c64PeNlcJON81aq2VopE4nC836dFOA3YxOH/1DbE4 +4w8icL4L++HSWweF4fyIR68VWWcKwfkKZ4Q/K7UIwvlf5m42fxouAOf//LPE +ybSeD85nFL9jtzySB6GfkVkpiZULzl/OoeHPfJMd4d4HNslva1nh/NsC3gvu +6TLD+TfjwtW3sTIi5H8u01ob+3c/jH+lYPasXf9/wPm/2/NvRLp8gfOVFuVc +4LN7D+e/W/lJnHnyMzhf80n+N9OoW3B+7v5rkgazD8L5/3bO0Zx59oA9jP9/ +Buf/lwK34fz7X1b2vLJ9Buc/ucNfZ7PuPZzfanDiqUXlFzj/hHnPj7bTP+D8 +u/MKbJ2r/8L5E1N1yme+ZXCA8fcoLVfrEmKG8y/wG703TGOF82vu78v9PJEd +zhe8H82a84YTzrc7+CvonxwPnF/itaC8040Pzj/FuPpWqp8AnL/sfNuVyamC +cH751ldRslOE4Pwz7y76KO8VhvNzJXdJml0SgfOZYrSKl/wThfMf989eLi8u +Dud7iE9wF9eSgPMXbeMpyQqRRMi7d1WfypKC8+eZiTdqsUnD+dD8AucDABie +oHA= + "]]}, + Annotation[#, "Charting`Private`Tag$2970563#1"]& ], + TagBox[ + {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwt1P0z1AkcwHEPt3lssfa7a32v9dAo9lJbISPr+yG0FdW5UlKmFHVlx0PK +eEjJ7lYeitLDUsh4KI6OBpF8P0Z1EpIzjcQpG1ckjj15dncz98N7Xv/B2yIw +1CdIQ01Nzfvf/lNllS9Pukui6wf2C00eBwq9zJ6vv0PinfhToxkEB/aezGT0 +3iJxhnxDrGBx4AmmSdekkVjhezNQrMcBuf+Z853xJC5v4c2lzBPAS/eN5+8n +cUk1fw2nnwCXOe3TFRwSX6ZYX7cuIeBChySoO9kUdzk6H/IWEWB19EF1WwAP +nW6UdpI72BClO7a6ysME1x5YZvMwzBg89pU6WazjYntD/v6iGyzgX+2vEWpx +0M329AnzYiMo6eIErB9j43N1T//AVkNw12o81d1gjBtraS+fOgPY2z9swVCw +0OkXy7uKwaVg3mI8YSk1Qr+w89URQn1Q3Xm4YWCPIVq6nZbu3q0L03P5bvZn +mbh0MNi4WaEN6twelyI/ffR8Jj84NbgEzNU1LQMZumhd4XREaMCAIm3rHZpv +tXBV+LDNjK8meLx3PjxyhoFdImFha7Q6vDPclvuHrSbeTxY3VG5dpN4G7FlZ +xVBHJSWonXg/S72bLhSUHpinQw3szD1sp6jOsKzM2sUp2jlxg27tIxU1eyG0 +y89dRQewDh9ymxmjLPNC2pkuo7SDsPvnuMwh6uv9ca7mtUHaXvrB5HG9krL5 +GDppv6+bLl8W4e6a3UVJ6Dc8YVYDrXfRoM0u6hm1UHPbRtGKVNVbj5UqnSJ6 +8ZbO4mfDd5R1q2Pdi4LXdJ/qfsqQaJBibs9TPpf00R97DOKdy0aprl/tf3i8 ++k9aJmwacIxWURLv3uGSxK9004aUKfnLKYpuF3cISsfp3uww0abYeSqyL8Y1 +JHCSTg9aFaUYUYNPWx6uSuqapussi1YksTSBFqVm2Ynm6XaDdaNrgxlgkZzT +NnBKDeP66iUT6VrgVhCbmmOrgUZ9/oyQLzpQU954fYfud+jSMOOzwNcHwy/M +HslvDIzcmht1yZMJJsOCIx2xWtisXtIdtN0Qonoq7G1362DhK3nntSAjqJoV +eUwy9TCqcmjfsgwWeC+1z64c0ceWr6+9lj8xhgzlnOPjRiZKeLU8hw429E4o +L3JFhqixX3Ayf4EAMnRR0SIwQuWVrCIzLhfECd83P9JmoZibtpkrMIG2vy1I +cT8L86r0I4/v4sG5w71pPm3GKN6cFNt83BQsjmVaZRSzsbGsKrYg1BS2/CXL +O1HGRheOMvZcpCmEx4Sbbapg4/qBjXEO8abQkCLmjdewkZ84EpeXbgqHyif1 +d75g40T9zviYR6Zwd8ZHpfeJjdkO3ATBEhLMU/UaE60I5GVvSmDokSDmfKP8 +bQjMYIQlvDcgITynv26dLYGXOpsSbvBIwPKaqg92BEZGxJzXsCXh4JujxZQ7 +gVvKehO7fyIh1+xp+mwggU8JXWnlXhKa7j1g/h5MoMsZB2naARLG1mYlFx8n +0M7ritTzKAngHiHziyCQPwSyihgS+o6ZR1cnEKj4USJLPUuC1rje5GUZgewa +heyYlARh7LeI4EsE6lwcl/Evk3A2tS2ESCdQOsqXT18l4R6n9vOXDAIXfLfJ +O2+S8CqnIPjpLQKj66PkD26T8M06XZl1m8D//wXmFXEHT+YS+A97kzgZ + "]]}, + Annotation[#, "Charting`Private`Tag$2970563#2"]& ]}, {}}, {{}, {{{}, {}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJwtlAlQFHcWxlERORxhkJmRe4YbhmEOro3uMo8ghRFxjXIlHgQQ1IiiwhaC +RgRBkQByqDjKIZHMsiSiRiVc+n8goi6HSAQPgroSUdAdEQFBBDY7/e+qrq6u +7n7ve9/3ey2IiF0bNVdDQ+PQn+f/r2dnjykyy0zx+sbmqbfBaSSsvqC68aoJ +xm0Tl17OSiMWCYW/TdwxxvawD1vCO9NIn+zMsPjJEnQbqK7Nt00nRaoS1pYR +Hm4oi5vuyE0n6yt/cCrR4uHfn5cO3+YdJibRSr9uEy5mRsye+6nxMHkoqNy8 +UMzBwlVBFvsKj5BTfedTfHyMsLA3Nyu7PIOEKC6VJIUsxhz+FxzrD0cJJ+hq +/aXthsjx29tpXfY9uW9Q+/BVMhuNNqdxWbXZpKCtYczyuAGe3bH45yxRLik3 +SLGtWqOPAfFV0yHdecQqIyPMLJGFX99N+4E7VECYefUwZFNyauaRk3Q+HVyZ +6qeM6FSQM+p5FqDP4VavZ2+LqX4t1ItNqRrMLiOFar2aOFGq7/VdaznVNxfD +TDuTBh5VUD0aqEyz+vDw9XnCV/efJo9P3FyvtPyFmKr7TRKZT/4/qvWrCVdd +f5wscLyc5Pu+jtYbIQ5VwT9OJCMRqL//L7EwXT3oubSZ8NTvDxDdrotvN7Td +Jsbq533kQHl2Vu2mDjJffd9OmpY9P5id00U06LFrOueh4nQPETLP5Xkmezaz +v+0ljsz38pJiLvdGxjNiydSXJ10c+v3Xzn7ixPSXP+stDh/Me0m4jD65ma8o +ZrbtNTFl9MsTA/iaV72GCZ+ZTz4atgrT2kaILTO//BbfInZlxhg5wfgDNyOV +n2K2TtB6c2F7wIuDmyKmyGnGX0i6kTPasX2G1teC/JgLtQPXNJDmA7u+Vh26 +4zsXmX46UGn8LxLdOg9pvvDPXV5h1QHzkenPAvdGh+zsNi1UMnxA1piIt2qF +NjJ6DGCtccVn+Y062M3wBZzJtRy9z/SQ0WcIbIVXXcCFhRjK8AnlY/qbO20W +IeUX0rkfE14q9LGX4Rs8dx7yjjpigIx+LjT3LDzT7s1Guh+QtVTK8vjExmJm +f2DFjTGNc9WGSPcL3rjDLGf3YjqfMcyL959/TGiE3zD7CZoTNaGsASM6rynU +1HfMyT3LwX6frP3rss3ghHinHnc9F63V85vDk4OtpSUcHka1pX3+YrMFXGgP +Zzt28vBHtR+W4Hrg6aMrmUswrtIrbZkFHxIXNhz39jXG42p/+LDRpWSiY9YY +r6iWbtHUFUC8BuvehjoT6pcATsfwJofiTXFM5rmyfUwAX6WyQxLFZtQ/K2ha +HfxowZAZeia4ik7+xwryPZ/GnSw3R2bfrUF/OsvCNswC99aLDcLarSFy7evf +LhtbUn9toFsenPv5fUusmRW+t6+1gcg9lyq2+vHxkdpvW9io06B7sZyPH30c +eobLbeGNqHnHhzkC6r8dmCbsvucVJsBlGTa1tbl28Eoj0/1wg4DmYQ92f3ml +aDe2wn1t/KLU/fYQHB83Y5RgRfOxh0E0jdxw3wqvGZgn+291AHFXz61zUmua +lwMkTxU7v86xxplA4wijQEdofhmTJ3tjjcz/xRHudsF44hc2CAqOb5/cCWpH +eOsblTY0TyewFrwj2pq2eLCP7aAUCsGyrNVmTbgtzVcIv0wqjxZet0UULNKL +5TlD9ZNU1RNTO5q3M+zWDVtnl2iH86J1VZ7zRPCJtaxmR48dzV8E0f/mmV91 +tUefSq17Gm9F0JkzmvIp157y4AIQem/AR2WP6aq5V+48dgEbsyr/7/0dKB9i +ePM+82JXhQO2yGZP5reIobp5C8dEy5HyIoFnBcuTwiMdMa1+ukH0lQRqmgVP +K9CR8iOBDo8Zn2FzJyzv2+dieFcCtdq9FZ77nChPUmh//Csr+aETNs9Olo4v +l8LYz8f3tLgLKV9ScE7e/YBVIMQXgr3s3jopxH65+q9Bw0LKmxSuWwvLigKc +cf7y8VQikcHU2AKtPyqdKX8yMLr9x7dCbRHaR8ePnlPKoLeo8e6eKBHlUQbd +sSVudU0i9MsYicowc4UWn32KOXwXyqcrRBiFzqz4zgW3VO56EJPvCgMqt8jc +xy6UV1fY2sK+/cBTjBltqhVfarsB66jK2fKEmPLrBqs2teZFj4ixQhVT537A +DeKWBE712Esoz25QldJ0PilYgncMXgtNRt1gckjyjUW6hPLtDoGBpYZNlyU4 +KNtWPLPNHa5fY92Mei7BSTXv7lBttz9Bhy1F3aCXi/qfusP4sSHH83Ip5d8D +TvWH/r5mpxSFCVEHbwV5wN/W3coZLZLSffCAvcTd+1SrFP0V/e9+avUAb5fy +98s+Sul+eMI7haHyqYMM/we7bPNX + "]]}}, + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[1.6]}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-5.075689593679163, -5.298317366548036}, + 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-> + NCache[{{-5.075689593679163, 5.747684907538796}, {-5.298317366548036, + Log[2]}}, {{-5.075689593679163, 5.747684907538796}, {-5.298317366548036, + 0.6931471805599453}}], + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, {0, 0}}, + 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[ + 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.}}}, {{-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.}}, {-2.995732273553991, + FormBox[ + TagBox[ + InterpretationBox["\"0.050\"", 0.05, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-0.6931471805599453, + FormBox[ + TagBox[ + InterpretationBox["\"0.500\"", 0.5, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 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.}}, {-2.8134107167600364`, + 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.}}, {-0.5108256237659907, + 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.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.3978952727983707`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.4849066497880004`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.5649493574615367`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.6390573296152584`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.70805020110221, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.772588722239781, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{ + 3.799157646323372*^9, 3.7991577522687597`*^9, 3.7991578128339252`*^9, + 3.799157941506836*^9, 3.799160220497615*^9, 3.799160268504189*^9, + 3.799162548759418*^9, {3.799162586310547*^9, 3.7991626052365427`*^9}, + 3.799162643034289*^9, 3.79918592910867*^9, 3.799186149695986*^9, { + 3.799186202286312*^9, 3.799186261754511*^9}, {3.799186311954441*^9, + 3.799186319479136*^9}, {3.799186363015633*^9, 3.7991863849561033`*^9}, { + 3.799186417621194*^9, 3.7991864443223667`*^9}, 3.799186478723639*^9, { + 3.79918729710776*^9, 3.799187368919986*^9}, {3.799187409243988*^9, + 3.799187430112955*^9}, {3.799187622617318*^9, 3.7991876257500057`*^9}, + 3.799188945954133*^9, 3.79918905978688*^9, {3.799191780638339*^9, + 3.799191785560618*^9}, {3.7991930180501537`*^9, 3.7991930444573812`*^9}, + 3.7991933676952*^9}, + CellLabel-> + "Out[599]=",ExpressionUUID->"930a595f-57e4-464c-b24c-663c5a8d1583"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["2D Ising", "Subsection", + CellChangeTimes->{{3.79917577064828*^9, + 3.7991757723226423`*^9}},ExpressionUUID->"cdc09ea8-ade6-4896-b063-\ +562be8bbbca8"], + +Cell[BoxData[{ + RowBox[{ + RowBox[{"Tc2D", "=", + RowBox[{"2", "/", + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}]}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Beta]2D", "=", + RowBox[{"1", "/", "8"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Delta]2D", "=", "15"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Nu]2D", "=", "1"}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[Gamma]2D", "=", + RowBox[{"7", "/", "4"}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[ScriptCapitalY]02D", "=", + RowBox[{ + RowBox[{"-", "2"}], " ", + RowBox[{"G2C", "[", "2", "]"}]}]}], ";"}], "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "=", + RowBox[{ + RowBox[{"-", + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}], ";"}]}], "Input",\ + + CellChangeTimes->{{3.798453386068222*^9, 3.7984533946809397`*^9}, { + 3.799175736848481*^9, 3.7991757372160263`*^9}, {3.7991758901863194`*^9, + 3.799175904554615*^9}, {3.799277245296159*^9, 3.799277284576337*^9}}, + CellLabel-> + "In[901]:=",ExpressionUUID->"3f50dd46-6eed-4256-a18b-bff8375d74be"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"data2D", "=", + RowBox[{"Dataset", "[", + RowBox[{ + RowBox[{ + RowBox[{"With", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"info", "=", + RowBox[{"ToExpression", "/@", + RowBox[{"Rest", "[", + RowBox[{"StringSplit", "[", + RowBox[{ + RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}], + "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"dat", "=", + RowBox[{"Import", "[", "#", "]"}]}]}], "\[IndentingNewLine]", + "}"}], ",", "\[IndentingNewLine]", + RowBox[{"<|", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"info", "[", + RowBox[{"[", "4", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "2", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "3", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "4", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]e\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "5", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]m\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "6", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]t\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "7", "]"}], "]"}]}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]a\>\"", "\[Rule]", + RowBox[{"Around", "@@", + RowBox[{"dat", "[", + RowBox[{"[", "8", "]"}], "]"}]}]}]}], "\[IndentingNewLine]", + "|>"}]}], "]"}], "&"}], "/@", + RowBox[{ + "FileNames", "[", + "\"\<~/doc/research/metastable_scaling/data/2d-ising-new/metastable_2_*_\ +m.dat.processed\>\"", "]"}]}], "]"}]}], ";"}]], "Input", + CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, { + 3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9, + 3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, { + 3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9, + 3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, { + 3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9, + 3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}}, + CellLabel-> + "In[691]:=",ExpressionUUID->"3016f397-5fed-4501-9480-60f289d4409c"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"data2D2", "=", + RowBox[{"Dataset", "[", + RowBox[{"With", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{"dat", "=", + RowBox[{ + "Import", "[", + "\"\<~/doc/research/thesis/data/essential/data_square-4096.dat\>\"", + "]"}]}], "\[IndentingNewLine]", "}"}], ",", "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"<|", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\"\\"", "\[Rule]", "2"}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"#", "[", + RowBox[{"[", "3", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\\"", "\[Rule]", + RowBox[{"#", "[", + RowBox[{"[", "8", "]"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\"\<\[Chi]\>\"", "\[Rule]", + RowBox[{"#", "[", + RowBox[{"[", "10", "]"}], "]"}]}]}], "\[IndentingNewLine]", + "|>"}], "&"}], "/@", "dat"}]}], "]"}], "]"}]}], ";"}]], "Input", + CellChangeTimes->{{3.797705522745611*^9, 3.7977056916202297`*^9}, { + 3.7977057959926157`*^9, 3.7977058113183813`*^9}, {3.797706405946889*^9, + 3.797706407954214*^9}, {3.7983210304741507`*^9, 3.79832106378587*^9}, { + 3.798364439869031*^9, 3.7983644506237392`*^9}, {3.798365938561242*^9, + 3.7983659437041597`*^9}, {3.798366645212805*^9, 3.7983666891482162`*^9}, { + 3.798736002164524*^9, 3.798736005852274*^9}, {3.799150074106604*^9, + 3.799150074698133*^9}, {3.7991526508389063`*^9, 3.7991527437272863`*^9}, { + 3.799175990837474*^9, 3.799176020237219*^9}, {3.79917606884619*^9, + 3.799176190800548*^9}, {3.799176299602786*^9, 3.799176311873583*^9}}, + CellLabel->"In[30]:=",ExpressionUUID->"8e932e8b-6094-421f-be13-f54f0ea7fcd5"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]2D0", "=", + RowBox[{ + FractionBox["2", "\[Pi]"], + RowBox[{"Integrate", "[", + RowBox[{ + FractionBox[ + RowBox[{ + SuperscriptBox["X", "1"], + RowBox[{"Exp", "[", + RowBox[{ + RowBox[{"-", "1"}], "/", "X"}], "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",", + RowBox[{"{", + RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.799264639933505*^9, 3.799264669604143*^9}, + 3.799264722080316*^9, {3.799264797033545*^9, 3.799264836995894*^9}, { + 3.7992649479102497`*^9, 3.799264951208439*^9}}, + CellLabel-> + "In[715]:=",ExpressionUUID->"7c7d52e8-9a9d-43ff-bbe2-4f27f6eeb21c"], + +Cell[BoxData[ + RowBox[{"-", + FractionBox[ + RowBox[{"Y", "-", + SuperscriptBox["Y", "2"], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["1", "Y"]}], "]"}]}]}], + RowBox[{"\[Pi]", " ", + SuperscriptBox["Y", "3"]}]]}]], "Output", + CellChangeTimes->{{3.799264828470121*^9, 3.799264842078844*^9}, + 3.799264955478936*^9}, + CellLabel-> + "Out[715]=",ExpressionUUID->"e17c4ecd-af4c-4510-9e0f-3d8a67b46fca"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]2D01", "=", + RowBox[{ + FractionBox["2", "\[Pi]"], + RowBox[{"Integrate", "[", + RowBox[{ + FractionBox[ + RowBox[{ + SuperscriptBox["X", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], + RowBox[{"Exp", "[", + RowBox[{ + RowBox[{"-", "1"}], "/", "X"}], "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"X", "+", "Y"}], ")"}], "3"]], ",", + RowBox[{"{", + RowBox[{"X", ",", "0", ",", "\[Infinity]"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{"Y", ">", "0"}], "}"}]}]}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.7992773008220167`*^9, 3.799277314268919*^9}, { + 3.7992773780826397`*^9, 3.799277383434202*^9}}, + CellLabel-> + "In[910]:=",ExpressionUUID->"1a5fa001-90f8-4da6-8fb2-8b6d7fe8e912"], + +Cell[BoxData[ + RowBox[{ + FractionBox["1", + RowBox[{"225", " ", "\[Pi]", " ", + SuperscriptBox["Y", "5"]}]], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "15"}], " ", "Y", " ", + RowBox[{"(", + RowBox[{"15", "+", + RowBox[{"14", " ", "Y"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"(", + RowBox[{"225", "+", + RowBox[{"2", " ", "Y", " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "15"}], "+", + RowBox[{"8", " ", "Y"}]}], ")"}]}]}], ")"}], " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + RowBox[{"-", + FractionBox["16", "15"]}], ",", + FractionBox["1", "Y"]}], "]"}]}]}], ")"}], " ", + RowBox[{"Gamma", "[", + RowBox[{"-", + FractionBox["16", "15"]}], "]"}]}]}]], "Output", + CellChangeTimes->{3.799277385403577*^9}, + CellLabel-> + "Out[910]=",ExpressionUUID->"9e4a322a-0ddf-4014-b126-533b97933a88"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"SeriesCoefficient", "[", + RowBox[{"\[ScriptCapitalY]2D01", ",", + RowBox[{"{", + RowBox[{"Y", ",", "\[Infinity]", ",", + RowBox[{"14", "/", "15"}]}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.799270263916595*^9, 3.799270270393526*^9}, + 3.7992773942674637`*^9, {3.799277436691949*^9, 3.79927744221903*^9}}, + CellLabel-> + "In[912]:=",ExpressionUUID->"62a40c9d-3e4b-46d9-bc10-e88f469ddd29"], + +Cell[BoxData[ + FractionBox[ + RowBox[{"16", " ", + RowBox[{"Gamma", "[", + RowBox[{"-", + FractionBox["16", "15"]}], "]"}], " ", + RowBox[{"Gamma", "[", + FractionBox["31", "15"], "]"}]}], + RowBox[{"225", " ", "\[Pi]"}]]], "Output", + CellChangeTimes->{3.799270270633513*^9, 3.7992773948467903`*^9, + 3.799277442811665*^9}, + CellLabel-> + "Out[912]=",ExpressionUUID->"6a3e1571-605d-43ce-a5a8-e9a2f95473f9"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"solc2D", "=", + RowBox[{"Solve", "[", " ", + RowBox[{ + RowBox[{ + SuperscriptBox["B2D", "2"], " ", "c2D", " ", + RowBox[{"SeriesCoefficient", "[", + RowBox[{"\[ScriptCapitalY]2D01", ",", + RowBox[{"{", + RowBox[{"Y", ",", "\[Infinity]", ",", + RowBox[{"14", "/", "15"}]}], "}"}]}], "]"}]}], "\[Equal]", + "\[ScriptCapitalY]\[Infinity]2D"}], "]"}]}]], "Input", + CellChangeTimes->{{3.7992774013816977`*^9, 3.799277481315751*^9}, + 3.799277818979064*^9}, + CellLabel-> + "In[926]:=",ExpressionUUID->"9fa92faa-52c1-45d2-8e27-518aaa573a8c"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"{", + RowBox[{"c2D", "\[Rule]", "3.2908346685658887`"}], "}"}], "}"}]], "Output",\ + + CellChangeTimes->{3.79927748157997*^9, 3.79927770353749*^9, + 3.799277820405592*^9}, + CellLabel-> + "Out[926]=",ExpressionUUID->"b0161c8d-785f-4827-8130-565dc8db072c"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"solA2D", "=", + RowBox[{"NSolve", "[", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"A2D", " ", + SuperscriptBox["B2D", "2"], + RowBox[{"Limit", "[", + RowBox[{"\[ScriptCapitalY]2D0", ",", + RowBox[{"Y", "\[Rule]", "0"}]}], "]"}]}], "\[Equal]", + "\[ScriptCapitalY]02D"}], "}"}], "/.", + RowBox[{"solc2D", "[", + RowBox[{"[", "1", "]"}], "]"}]}], ",", + RowBox[{"{", "A2D", "}"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799264847521249*^9, 3.7992648838348923`*^9}, { + 3.7992649382358303`*^9, 3.799264994716874*^9}, {3.799277513717504*^9, + 3.799277559181275*^9}, {3.799277604742765*^9, 3.799277629398514*^9}, { + 3.7992777138489017`*^9, 3.799277761493086*^9}, {3.799277826738718*^9, + 3.799277837466936*^9}, 3.799282819009699*^9}, + CellLabel-> + "In[1057]:=",ExpressionUUID->"8160d41e-e2fe-4501-a0cc-4bee02a6013e"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"{", + RowBox[{"A2D", "\[Rule]", "0.6395952016283307`"}], "}"}], "}"}]], "Output",\ + + CellChangeTimes->{ + 3.799277839280876*^9, {3.799282792148753*^9, 3.799282819910035*^9}}, + CellLabel-> + "Out[1057]=",ExpressionUUID->"13cd32c8-68c6-45b7-bc63-b9747c47c3ee"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"B2D", "=", + RowBox[{ + RowBox[{"B", "[", + RowBox[{"\[ScriptCapitalM]0", ",", + RowBox[{"4", "/", "Tc2D"}]}], "]"}], "[", "2", "]"}]}]], "Input", + CellChangeTimes->{{3.799276558016711*^9, 3.799276559639844*^9}}, + CellLabel-> + "In[892]:=",ExpressionUUID->"a7a65a08-ed8f-4d4c-aa84-764c1a0c8397"], + +Cell[BoxData[ + FractionBox[ + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "8"}]], + RowBox[{ + SuperscriptBox["2", + RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "2"]}]]], "Output", + CellChangeTimes->{3.799276560032548*^9}, + CellLabel-> + "Out[892]=",ExpressionUUID->"3c5c8bff-600d-4f06-b9e0-1f7429d3853c"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]2D1", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"A2D", " ", + SuperscriptBox["B2D", "2"], "\[ScriptCapitalY]2D0"}], "/.", + RowBox[{"solA2D", "[", + RowBox[{"[", "1", "]"}], "]"}]}], "/.", + RowBox[{"Y", "\[Rule]", + RowBox[{"B2D", " ", "x"}]}]}], "/.", + RowBox[{"B2D", "\[Rule]", + RowBox[{ + RowBox[{"B", "[", + RowBox[{"\[ScriptCapitalM]0", ",", + RowBox[{"4", "/", "Tc2D"}]}], "]"}], "[", "2", "]"}]}]}], "/.", + RowBox[{"\[ScriptCapitalY]02D", "->", + RowBox[{ + RowBox[{"-", "2"}], " ", + RowBox[{"G2C", "[", "2", "]"}]}]}]}]}]], "Input", + CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, { + 3.7992652817721357`*^9, 3.79926529785892*^9}}, + CellLabel-> + "In[1058]:=",ExpressionUUID->"34573480-ca9c-4dd3-9863-c874ae134baa"], + +Cell[BoxData[ + RowBox[{"-", + RowBox[{ + FractionBox["1", + SuperscriptBox["x", "3"]], + RowBox[{"0.8129023478488784`", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox[ + RowBox[{ + SuperscriptBox["2", + RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "2"]}], + RowBox[{"x", " ", + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "8"}]]}]]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox[ + RowBox[{ + SuperscriptBox["2", + RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "2"]}], + RowBox[{"x", " ", + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "8"}]]}]]}], "]"}]}], "-", + FractionBox[ + RowBox[{ + SuperscriptBox["x", "2"], " ", + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "4"}]]}], + RowBox[{"2", " ", + SuperscriptBox["2", + RowBox[{"3", "/", "8"}]], " ", + SuperscriptBox["\[Pi]", "2"], " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "4"]}]], "+", + FractionBox[ + RowBox[{"x", " ", + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "8"}]]}], + RowBox[{ + SuperscriptBox["2", + RowBox[{"11", "/", "16"}]], " ", "\[Pi]", " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "2"]}]]}], ")"}]}]}]}]], "Output", + CellChangeTimes->{ + 3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9, + 3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9}, + 3.799282824396039*^9}, + CellLabel-> + "Out[1058]=",ExpressionUUID->"c744e84f-18d9-4a00-8e63-7ff209f5284d"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"ListLogPlot", "[", "\[IndentingNewLine]", + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "-", "1"}], ",", + RowBox[{"Abs", "@", + RowBox[{"SeriesCoefficient", "[", + RowBox[{"\[ScriptCapitalY]2D1", ",", + RowBox[{"{", + RowBox[{"x", ",", "0", ",", + RowBox[{"#", "-", "1"}]}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{"x", ">", "0"}], "}"}]}]}], "]"}]}]}], "}"}], "&"}], "/@", + RowBox[{"Range", "[", "13", "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"#", "-", "1"}], ",", + RowBox[{ + RowBox[{"Abs", "[", + RowBox[{"G2C", "[", + RowBox[{"#", "+", "1"}], "]"}], "]"}], "2"}]}], "}"}], "&"}], "/@", + RowBox[{"Range", "[", "13", "]"}]}]}], "}"}], "]"}]], "Input", + CellChangeTimes->{{3.7992828862286243`*^9, 3.799283206569066*^9}, { + 3.7992832986907787`*^9, 3.799283299744712*^9}, {3.799283415923752*^9, + 3.799283445531232*^9}}, + CellLabel-> + "In[1096]:=",ExpressionUUID->"1d942ea3-e06f-4802-a1f4-80cbfb2569f4"], + +Cell[BoxData[ + GraphicsBox[{{}, {{ + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{0., -3.6675132975823628`}, {1., -3.9534064049631814`}, { + 2., -3.9516174398922184`}, {3., -3.7266849235070456`}, { + 4., -3.319430850327918}, {5., -2.758026097321533}, { + 6., -2.0630899516906247`}, {7., -1.2503707704033336`}, { + 8., -0.3322910734582157}, {9., 0.681098803291229}, {10., + 1.7815000570303017`}, {11., 2.96194401844291}, {12., + 4.216495952009241}}]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6], + PointBox[{{0., -3.667513297582363}, {1., -5.136435147866549}, { + 2., -5.809206478254292}, {3., -6.057132430395912}, { + 4., -6.0182690372681655`}, {5., -5.762339639277616}, { + 6., -5.330615650627741}, {7., -4.750222202987696}, { + 8., -4.040651432527667}, {9., -3.217108299488962}, { + 10., -2.2895500826863056`}, {11., -1.2696483431546817`}, { + 12., -0.16201323941189424`}}]}}, { + {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[0.368417, 0.506779, 0.709798], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, + {RGBColor[0.880722, 0.611041, 0.142051], PointSize[ + 0.012833333333333334`], AbsoluteThickness[1.6]}, {}, {}, {}}}, {{}, {}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, -6.861102154467044}, + 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->{386., Automatic}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Identity[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{0, 12.}, {-6.861102154467044, 4.216495952009241}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.02], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Automatic, + Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], 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.}}, {-9.210340371976182, + 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.}}, {-7.600902459542082, + 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.}}, {-5.298317366548036, + 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.}}}}]]], "Output", + CellChangeTimes->{{3.799282906416996*^9, 3.799282977686923*^9}, { + 3.7992830131194353`*^9, 3.799283028188141*^9}, {3.7992830775561657`*^9, + 3.7992832070588837`*^9}, 3.799283300025242*^9, {3.799283417663293*^9, + 3.799283446035757*^9}}, + CellLabel-> + "Out[1096]=",ExpressionUUID->"0c32b6e7-3db8-4183-b1b8-7c7bfe7be933"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Solve", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + ")"}], + RowBox[{"Gamma", "[", + RowBox[{"2", "-", + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], "]"}], + RowBox[{"Gamma", "[", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + "]"}], + FractionBox["1", "\[Pi]"], "A2D", " ", + SuperscriptBox["c2D", + RowBox[{ + RowBox[{"-", + RowBox[{"b", "[", "2", "]"}]}], "+", + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]], + SuperscriptBox[ + RowBox[{"(", "B2D", ")"}], + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]]}]}], "/.", + RowBox[{"A2D", "\[Rule]", "0.5"}]}], ",", "c2D"}], "]"}]], "Input", + CellChangeTimes->{{3.799278228712076*^9, 3.7992782408245583`*^9}}, + CellLabel-> + "In[936]:=",ExpressionUUID->"5a73b7a0-3266-4057-91ba-556ec07c67a6"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{"{", + RowBox[{"c2D", "\[Rule]", "7195.784392689719`"}], "}"}], "}"}]], "Output", + CellChangeTimes->{3.799278241142003*^9}, + CellLabel-> + "Out[936]=",ExpressionUUID->"c1e36ac2-9ed0-4061-8eff-483bd2738794"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"6", + RowBox[{"G2C", "[", "3", "]"}]}]], "Input", + CellLabel-> + "In[970]:=",ExpressionUUID->"518ad87e-2135-4bdc-81e8-f64963b6cc8a"], + +Cell[BoxData["0.01763582632660643`"], "Output", + CellChangeTimes->{3.799279154562954*^9}, + CellLabel-> + "Out[970]=",ExpressionUUID->"a31d08bd-9546-4d07-9e9c-39e4a31f17fa"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"2", "-", + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]], "Input", + CellLabel-> + "In[1034]:=",ExpressionUUID->"7fa25fc6-5fd6-422a-8392-69fcf55fea7f"], + +Cell[BoxData[ + FractionBox["14", "15"]], "Output", + CellChangeTimes->{3.799281710069368*^9}, + CellLabel-> + "Out[1034]=",ExpressionUUID->"6af3b82a-1aa4-44e0-ba1a-dd75a2b5a6b8"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], "Input", + CellChangeTimes->{{3.799281769082115*^9, 3.7992817717900877`*^9}}, + CellLabel-> + "In[1038]:=",ExpressionUUID->"d1054e1d-9bd0-4e36-8d5b-92a10b933d77"], + +Cell[BoxData[ + FractionBox["8", "15"]], "Output", + CellChangeTimes->{3.799281772474275*^9}, + CellLabel-> + "Out[1038]=",ExpressionUUID->"d6117ff3-1da2-4298-bd05-50d86ede4c8b"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Series", "[", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "+", "X"}], ")"}], + RowBox[{ + FractionBox["1", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]], "-", "2"}]], + "\[ScriptCapitalY]2D0"}], "/.", + RowBox[{"Y", "->", + RowBox[{"X", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"1", "+", "X"}], ")"}], + RowBox[{ + RowBox[{"1", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", + "1"}]]}]}]}], ",", + RowBox[{"{", + RowBox[{"X", ",", "\[Infinity]", ",", "2"}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.799281171615075*^9, 3.799281237486491*^9}, { + 3.799281269016334*^9, 3.799281271881517*^9}, {3.7992815804764757`*^9, + 3.799281784910275*^9}, {3.799281966361985*^9, 3.799281982043068*^9}, { + 3.799282030339023*^9, 3.799282081427012*^9}}, + CellLabel-> + "In[1043]:=",ExpressionUUID->"7426b534-401e-4fa0-8061-9439eb1d91b5"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"Floor", "[", + RowBox[{ + FractionBox[ + RowBox[{"Arg", "[", "X", "]"}], + RowBox[{"2", " ", "\[Pi]"}]], "-", + FractionBox[ + RowBox[{"7", " ", + RowBox[{"Arg", "[", + RowBox[{"1", "+", "X"}], "]"}]}], + RowBox[{"30", " ", "\[Pi]"}]]}], "]"}], " ", + InterpretationBox[ + SuperscriptBox[ + RowBox[{"O", "[", + FractionBox["1", "X"], "]"}], + RowBox[{"46", "/", "15"}]], + SeriesData[$CellContext`X, + DirectedInfinity[1], {}, 46, 46, 15], + Editable->False]}], "+", + RowBox[{ + RowBox[{"Floor", "[", + RowBox[{ + RowBox[{"-", + FractionBox[ + RowBox[{"Arg", "[", "X", "]"}], + RowBox[{"2", " ", "\[Pi]"}]]}], "+", + FractionBox[ + RowBox[{"7", " ", + RowBox[{"Arg", "[", + RowBox[{"1", "+", "X"}], "]"}]}], + RowBox[{"30", " ", "\[Pi]"}]]}], "]"}], " ", + InterpretationBox[ + SuperscriptBox[ + RowBox[{"O", "[", + FractionBox["1", "X"], "]"}], + RowBox[{"46", "/", "15"}]], + SeriesData[$CellContext`X, + DirectedInfinity[1], {}, 46, 46, 15], + Editable->False]}], "+", + RowBox[{"(", + InterpretationBox[ + RowBox[{ + FractionBox["1", + RowBox[{"\[Pi]", " ", + SuperscriptBox["X", "2"]}]], "-", + FractionBox[ + SuperscriptBox[ + RowBox[{"(", + FractionBox["1", "X"], ")"}], + RowBox[{"38", "/", "15"}]], "\[Pi]"], "+", + InterpretationBox[ + SuperscriptBox[ + RowBox[{"O", "[", + FractionBox["1", "X"], "]"}], "3"], + SeriesData[$CellContext`X, + DirectedInfinity[1], {}, 30, 45, 15], + Editable->False]}], + SeriesData[$CellContext`X, + DirectedInfinity[1], {Pi^(-1), 0, 0, 0, 0, 0, 0, 0, (-1)/Pi}, 30, 45, 15], + Editable->False], ")"}]}]], "Output", + CellChangeTimes->{{3.799281625864674*^9, 3.799281646437413*^9}, { + 3.799281688942937*^9, 3.7992817587499104`*^9}, 3.799281795546767*^9, + 3.799281988595744*^9, {3.799282039919632*^9, 3.799282082593014*^9}}, + CellLabel-> + "Out[1043]=",ExpressionUUID->"2b0dedfb-4a98-4ce1-8f61-5ef56663e799"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"solAc2D", "=", + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"\[ScriptCapitalY]02D", "\[Equal]", + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"2", ",", "A2D", ",", "B2D", ",", "c2D", ",", + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "2", ",", + "m"}], "]"}]}], ",", + RowBox[{ + RowBox[{ + RowBox[{"-", "6"}], + RowBox[{"G2C", "[", "3", "]"}]}], "\[Equal]", + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"2", ",", "A2D", ",", "B2D", ",", "c2D", ",", + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "3", ",", + "m"}], "]"}]}], ",", "\[IndentingNewLine]", + RowBox[{"\[ScriptCapitalY]\[Infinity]2D", "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + ")"}], + RowBox[{"Gamma", "[", + RowBox[{"2", "-", + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], "]"}], + RowBox[{"Gamma", "[", + RowBox[{ + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + "]"}], + FractionBox["1", "\[Pi]"], "A2D", " ", + SuperscriptBox["c2D", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]], + SuperscriptBox[ + RowBox[{"(", "B2D", ")"}], + RowBox[{ + RowBox[{"(", "2", ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]]}]}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A2D", ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"c2D", ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"m", ",", "2"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]", + RowBox[{"MaxIterations", "\[Rule]", "100"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799274802860145*^9, 3.799274976045903*^9}, { + 3.799275142888137*^9, 3.7992751433352423`*^9}, {3.7992760641418056`*^9, + 3.79927618407165*^9}, {3.799277913779858*^9, 3.799278051829832*^9}, { + 3.799278083903223*^9, 3.7992780840141993`*^9}, {3.799278207994228*^9, + 3.799278208504446*^9}, {3.799278244394537*^9, 3.799278245617902*^9}, { + 3.799278328259738*^9, 3.79927836656319*^9}, {3.799278477358386*^9, + 3.799278492701331*^9}, {3.7992789264450083`*^9, 3.7992789787099743`*^9}, { + 3.799279045833507*^9, 3.799279084199409*^9}, {3.799279125127692*^9, + 3.79927916558488*^9}, {3.799279228276153*^9, 3.799279283010528*^9}, { + 3.799279949509637*^9, 3.799279966004838*^9}, {3.799280013150028*^9, + 3.799280051493668*^9}, {3.7992800908158817`*^9, 3.799280099328154*^9}, { + 3.799280199897867*^9, 3.79928021935292*^9}, 3.799280276667534*^9, { + 3.799280318804215*^9, 3.799280353708033*^9}, 3.7992804252868557`*^9, { + 3.799280854111075*^9, 3.79928086610217*^9}, {3.799280928553402*^9, + 3.799280931167304*^9}, {3.799282190398571*^9, 3.799282194621366*^9}, { + 3.799282239166678*^9, 3.799282334170492*^9}, {3.799282399858523*^9, + 3.799282402928865*^9}, {3.799282450683466*^9, 3.7992824509381523`*^9}, { + 3.7992834974942617`*^9, 3.799283568623817*^9}}, + CellLabel-> + "In[1106]:=",ExpressionUUID->"3c6ba91d-5ea8-49a9-a282-1f4fe8806c1f"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "slwcon", + "\"Numerical integration converging too slowly; suspect one of the \ +following: singularity, value of the integration is 0, highly oscillatory \ +integrand, or WorkingPrecision too small.\"", 2, 1106, 764, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799283500979722*^9, 3.799283570385796*^9}}, + CellLabel-> + "During evaluation of \ +In[1106]:=",ExpressionUUID->"7eb26435-2b38-4b12-b4f5-bca15030e52a"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "slwcon", + "\"Numerical integration converging too slowly; suspect one of the \ +following: singularity, value of the integration is 0, highly oscillatory \ +integrand, or WorkingPrecision too small.\"", 2, 1106, 765, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799283500979722*^9, 3.799283570429018*^9}}, + CellLabel-> + "During evaluation of \ +In[1106]:=",ExpressionUUID->"04dae847-246f-4d3a-9785-2dcefdaceb3a"], + +Cell[BoxData[ + TemplateBox[{ + "NIntegrate", "slwcon", + "\"Numerical integration converging too slowly; suspect one of the \ +following: singularity, value of the integration is 0, highly oscillatory \ +integrand, or WorkingPrecision too small.\"", 2, 1106, 766, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799283500979722*^9, 3.799283570804606*^9}}, + CellLabel-> + "During evaluation of \ +In[1106]:=",ExpressionUUID->"2daee2ea-701e-47f5-aa8b-8dbe7c385982"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"NIntegrate\\\", \ +\\\"::\\\", \\\"slwcon\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1106, 767, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799283500979722*^9, 3.799283570811721*^9}}, + CellLabel-> + "During evaluation of \ +In[1106]:=",ExpressionUUID->"190652fb-dcfa-4580-a6ac-5929fb170980"], + +Cell[BoxData["$Aborted"], "Output", + CellChangeTimes->{ + 3.799274890025193*^9, {3.799274963580843*^9, 3.799274976211142*^9}, + 3.7992751441449213`*^9, {3.799276171337564*^9, 3.7992761851337748`*^9}, { + 3.7992779851704893`*^9, 3.799278040169549*^9}, 3.799278081134766*^9, { + 3.799278199265608*^9, 3.7992782469195557`*^9}, 3.7992783448648357`*^9, + 3.799278380382188*^9, {3.79927848422266*^9, 3.79927850484441*^9}, + 3.7992789797979803`*^9, {3.799279023212099*^9, 3.79927916596841*^9}, { + 3.799279196781969*^9, 3.799279256264567*^9}, 3.799279608414812*^9, { + 3.799279958467942*^9, 3.799279966446501*^9}, {3.7992800146538486`*^9, + 3.799280051697668*^9}, {3.799280093825122*^9, 3.799280120405279*^9}, + 3.7992802203554897`*^9, 3.799280277955961*^9, {3.799280320404833*^9, + 3.79928035496059*^9}, 3.799280686897894*^9, 3.7992808877895803`*^9, + 3.799280926735589*^9, 3.7992811700656776`*^9, 3.799282202768196*^9, + 3.799282295357848*^9, 3.799282327887816*^9, 3.799282379420959*^9, + 3.799282446689116*^9, 3.799282764463019*^9, {3.799283507755858*^9, + 3.79928357456075*^9}}, + CellLabel-> + "Out[1106]=",ExpressionUUID->"c76396f7-a60e-40ab-b8bb-e4e5c7660888"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]3D1", "=", + RowBox[{ + RowBox[{"A3D", " ", + SuperscriptBox["B3D", "2"], "\[ScriptCapitalY]3D0"}], "/.", + RowBox[{"solA3D", "[", + RowBox[{"[", "1", "]"}], "]"}]}]}]], "Input", + CellChangeTimes->{{3.7992650087143393`*^9, 3.799265151873849*^9}, { + 3.7992652817721357`*^9, 3.79926529785892*^9}, {3.799265662338277*^9, + 3.79926568854569*^9}, {3.7992665316270847`*^9, 3.79926653196107*^9}, { + 3.799268639888319*^9, 3.799268640606805*^9}}, + CellLabel-> + "In[809]:=",ExpressionUUID->"6ad09553-4096-44f3-8878-5e1b2555e37a"], + +Cell[BoxData[ + FractionBox[ + RowBox[{"0.007075071428571428`", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", "Y", " ", + RowBox[{"(", + RowBox[{"3", "+", + RowBox[{"13", " ", "Y"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"(", + RowBox[{"9", "+", + RowBox[{"10", " ", "Y", " ", + RowBox[{"(", + RowBox[{"6", "+", + RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + FractionBox["7", "3"], ",", + FractionBox["1", "Y"]}], "]"}]}]}], ")"}]}], + SuperscriptBox["Y", "5"]]], "Output", + CellChangeTimes->{ + 3.79926504690516*^9, 3.79926509964904*^9, {3.799265131204915*^9, + 3.799265152115966*^9}, {3.799265282662683*^9, 3.7992652981517677`*^9}, { + 3.799266525132991*^9, 3.799266532270993*^9}, 3.799267213034593*^9, + 3.7992673781179037`*^9, 3.799267979288787*^9, 3.799268080790303*^9, + 3.7992681511042356`*^9, 3.7992686416269484`*^9}, + CellLabel-> + "Out[809]=",ExpressionUUID->"10921878-5a5a-476d-9cbd-f74ffe76bf1a"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D2", "=", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"10", "^", "x"}], ",", + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{"2", ",", + RowBox[{"A2D", "/.", "solAc2D"}], ",", "B2D", ",", " ", + RowBox[{"c2D", "/.", "solAc2D"}], ",", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ",", "2", ",", + + RowBox[{"m", "/.", "solAc2D"}]}], "]"}], "[", + RowBox[{"10", "^", "x"}], "]"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"x", ",", + RowBox[{"-", "5"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799274993641975*^9, 3.799275045832779*^9}, { + 3.799275080725634*^9, 3.799275150736534*^9}, {3.799275454333933*^9, + 3.799275513000143*^9}, 3.79927556939865*^9, {3.799275612774645*^9, + 3.7992756129261303`*^9}, {3.799276017389124*^9, 3.799276032635975*^9}, { + 3.799276193047822*^9, 3.7992762363834248`*^9}, {3.799277088141556*^9, + 3.799277112205737*^9}, {3.799279632195425*^9, 3.799279635826928*^9}}, + CellLabel-> + "In[1101]:=",ExpressionUUID->"d4f87218-54e0-4d31-b509-81565bccad31"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \ +is too small to represent as a normalized machine number; precision may be \ +lost.\"", 2, 1101, 742, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928220804105*^9, 3.799283533662002*^9}, + CellLabel-> + "During evaluation of \ +In[1101]:=",ExpressionUUID->"6efb8af4-daa0-4ab6-9d57-3e4d5cc9c062"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \ +is too small to represent as a normalized machine number; precision may be \ +lost.\"", 2, 1101, 743, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928220804105*^9, 3.7992835336749973`*^9}, + CellLabel-> + "During evaluation of \ +In[1101]:=",ExpressionUUID->"4284467a-dedf-4ce4-bb79-9253d21b10cb"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*FractionBox[\\\"1\\\", \ +SuperscriptBox[\\\"2.8545115529326126`\\\", \\\"347942.2150877314`\\\"]]\\) \ +is too small to represent as a normalized machine number; precision may be \ +lost.\"", 2, 1101, 744, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928220804105*^9, 3.799283533681155*^9}, + CellLabel-> + "During evaluation of \ +In[1101]:=",ExpressionUUID->"4630b694-2c1e-4a8c-8dab-02f89234bfc1"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1101, 745, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79928220804105*^9, 3.799283533697935*^9}, + CellLabel-> + "During evaluation of \ +In[1101]:=",ExpressionUUID->"2d3707d0-e9ee-4ee9-a34c-6f27a99f5851"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"data2D2", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",", + RowBox[{"#\[Chi]", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{"\[ScriptCapitalY]2D1", ",", + RowBox[{"{", + RowBox[{"x", ",", "0.0001", ",", "1000"}], "}"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, { + 3.799278272634544*^9, 3.799278289289773*^9}, {3.799282861259457*^9, + 3.7992828659783688`*^9}}, + CellLabel-> + "In[1102]:=",ExpressionUUID->"cbc25c50-284c-4414-a76e-6bac202a2b72"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1102, 746, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"19d00149-0c5a-419d-8994-16b8b6bdac6f"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\ +\", RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +\\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \ +\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\ +\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \ +SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \ +RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\ +\[RightSkeleton]\\\"}], \\\"-\\\", \\\"0\\\"}], \\\",\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\",\\\", \ +RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \\\" \\\", \ +RowBox[{\\\"Im\\\", \\\"[\\\", \ +RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\ +\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \ +RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\ +\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \ +\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\ +\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\ +\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\ +\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1102, 747, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.7992835370017843`*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"fe5b2653-305d-493b-9071-dfe6c02cae4f"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1102, 748, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.799283537077935*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"84fb567a-d1da-4aca-a98b-df0dd92be423"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1102, 749, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.799283537130019*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"dbe0086c-7068-4d42-a52e-1862a7538583"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1102, 750, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.799283537179653*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"fe6031e7-bd8a-4fdb-b0d2-58dcce9f2337"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \ +RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\ +\\\", \\\"\[RightSkeleton]\\\"}], \ +SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\ +\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\ +\[RightSkeleton]\\\"}]]]}], \\\"\[LessEqual]\\\", \\\"0\\\"}], \\\",\\\", \ +RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \\\" \\\", \ +RowBox[{\\\"Re\\\", \\\"[\\\", \ +RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\ +\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$14274997\\\"}]], \\\" \\\", \ +RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\ +\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \ +\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\ +\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\ +\"\[LessEqual]\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than \ +WorkingPrecision (\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1102, 751, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.799283537240632*^9}, + CellLabel-> + "During evaluation of \ +In[1102]:=",ExpressionUUID->"7d90c214-2857-4c0b-8a5b-8ffbc832ca3e"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU +rJDovJPISFZEieydjOz8zu+v8ziPc87nvM/5vF/v1/O1xu2U3VEeLi6uGW4u +rv8fNXgf5n569RlfP9I1n2xEBdsN02/vezeh+kt2AmPradBEtyrg+d2Oq/Rc ++VjhQ4W1sLGdFdyDb+O6Sz/QSAE/hkNlhtMMnucWM9unikBg4Y4D15zL0MB1 +x3sxIRoYuYgXP7/eiSqKkfrt39PgIrfVzlTKEH7gueLk/E0KvJZOSTkrM4ev +RI2+DzBFoMJfKppFysYtqzbs1TaiwdsLrut1Ho3jQfHfBSX/o4DXmntqPZF/ +8IZxue8cRQr0XEdHkqsX0deN1wXEphkgWcof49c+jPZvv7YlSIYOK+JsAc+I +FfSJU71qzzkmHHWyedzBO49GOCkmOsQxoPXL9a88R3+jlc/tZFSy6ZDT1FVI +N55FOR/Mn63fyIBr1gcPmtnzYa5Nd3UtU9kwbvtT222SB3t0ucPHPZ4F2SVH +kSt3ubFb9TNSJdUsyBPRbhyw7kPjtsvmK6ynQ4ufxuOHqlxYcbKsEbcEC0LO +BXtb+k+hHeb9o7+MGFD3IEvirYkIpnDn8sSVRA74hF271PZTCBM/RJIdiONA +Kl1nPM2dhh0wL9u37pwEjImbbDl2gor9O+8vkl8jDrak8X2qhfxYD+0r7s8n +CvR8WyUxMTrWxro6ydclASe2/GbfrqZj6ry3FXJJUqBqrvCZIi6AbfoiG3Ju +ryg8a+u5k5hKxipLD2VIl4pBMYm5cfkCA7td4PjZX0MKHEdkvYIFKNgjz6wB +aW1xWNtymz1zURALiZO866zBgSm1eU1JBw7G8b+S88RHDmx6a1U+YmxspU6i +ofaHDPQ4saxPqjGxuaqfvTfVpUE2afqF7hQb8z+xh/v6FVlwVvtee4ckhrEP +nrcdrJKDgn6xBrsIFjZ05LHi6lYZuGtCHUhPEcWOzlaJPW+QBa1zbRG9EhJY +nIOPe3rRGti1qHmzu5OJVQqTHj7MkAZRv+TbDnUS2KUcb28271o4ONhEXi0S +w+qeTWSaCq6B2tCJbT7HxbH4+0lL9Vpr4LFGnlfVZUksXebsgY79a0Gw4XOa +gaYU9n3dbH4X0e3rbaCu8xEfpOzcJta9QoYae4+35Sv80DTOaaxKI0PSEYua +L3MjuOUrsvfSCgJp3i1+pp9n8fd6Z/GYXAQSer21Rb9yAy3ip1V1ARm2ZboM +C0fN43bqcw16LyiQ9rVzdUGPFzjxzk7RRmSYHK5A42X+4ejR7AIHJQTCyjSO +vDSZxKlHVhuQcArYhxsHNTkt4U15bZSPLQj4UjxeBghM499TIl03TyBg8zF9 +acMZLui3detfcUGALCj/dYtXPx7sIqoc3UeBxpDUpyaZLXjeYrNCWR0V7mgz +xufROJQ63+y7PpQGG86JmmzXrUb54m8FNm+jAWVs1wGzvDa04KLz1/eXaLDU +ika0XBxDk2unZlPa6LD1VbKc0/suXCT6jUlZCwXKMzH1TUof8IHBffKTNVQw +lmv2yDvyC5U1GB1ZeUc8z7kfk8f7B6X8LPf+XkOHB7VulaaTA2hYx6sIAS06 +KNMjBn2rp1EZoQ8vM44xoJBhnSKqy4MJOilMP65jwY8v7A0bm7mwj/0TjjrX +WOAhM+LYKrGM2kxYLFElmMB7t13xSfc/NIQdrDttxILzgtJVIg4L6KHYbZU3 +NzDhmOLta4txvBgtIe7+YCQbnFxaJstdSNhm69jpmiOisPGpyOHn7wWwSPPi +A0KGHFjZk2XXtcSH/YorEV2REoW+/J2mYQpC2JHzCeKS5Rx4fy27xzTiL2q2 +6XT14jsGBO28d+FUiDD2naSnaGcrBgGk+EKpHApWvjbO78EXcWD/Z+ZzxIuO +UT3CftlXSkLLWGSO/YgIxjHicC2cEoP0snX6UyU0LEa636B0QgJaubhfBwnR +sKUH6cXi9hKQrVmzVt8awRKO1sjRNovDL3Oa484vDOwRe2BrykZpuGih/rZV +moGV7g9QW+cjBcX3yZKJvSzMYHH7msluGRjgE4wrCWJiiW4Wek0HpSHhQRub +Hs3G1t60kXRPlAX7Z/KNahtZ2LRB/7Vz3DKgYDU4d227KHbBY5ntTZWD++M8 +G2bnRLHCtwNrLM7JweVXTdei1Pjhxc5SpfZPZHiwkaqqf2kZ7zc2FNReocDz +iMS2GnceiNlSWB9qgcCucEcZQUkyVPlGXl/5Rwbn5/xZZwoX8Ic2BvsubEZA +XsYldv+UAPyyHrH/9IIMjj4dCQO83MBXqDWI6iKQfZWakl3NC6RgBcMpUQq8 +Cs3RlC8WhnVvb7WVjZEhKHjHWT7TVbzPq1tmIQ4BVVq9G+ogBNF8pj/L48nQ +vBrn4hdBgve5UYG9WxDoGvzloGadjr9h2aSSjGlQwaI7JhuP46W7uPV/LCDQ +ISdU3606g3d89YPc2wh4OzlVsPMHcZlj6/ewqVQQsL64FKzcgzu/XvfNikGF +6rBy00SFZnR0iU/ZMZwGKzHmGpJH/+DUH0odO5IpkJK/hCxLABr7Md/6zAka +2CoXRdwxqcMx/683xlVpwB7a8HZArx3Pqq8gJQjQwO90yc0cw5/o1XyTQisO +HSgLPloZk3/xsnTjXLMyhNDTwn+MZ1OofvbaS+2Ef721YyrEwm+06Z1KietW +BlR93YSemFtEe7al7fAKZMI3pQAeHp0RlGvVS/K0Dx18JOMNTmf0oc+nTN5I +/Uf4n6plfLvnLOqcv+fNwXAGZLtLcrmlcmMjtEA5ndcsOJLzJih5wzy6I1Ol +MdKcCdPavl2bylZQJQFR8VRFFrTI9929bMKFNUt2MGQPsWAZSeKonuDD8u/f +4ba+yQbXAKeubQK8mFbBe9Hhk2ywzUu2pnzmx1ozru8yChMFldl2fEpTAKMV +djxq+SIK66roAqWzQtjnCnvpeZoY1GGHkEQnEczgYtz1U55ikBYcFxj8lowh +d2XNznKJw2xtln1bpCAWVV2QF36cA6f3nWAek6FgY7/z/3ysFQfarSzZ2/J0 +7NKr6AuMFEkwctaytLxKxeoifndV7pMA33MPji+30LHxhmfJ5tpSkDoYMcA5 +Q8Pkfg2lcw1JwAG//46cvMnAxCWUPkiGS4FNw+1Au2Emxk1/ZzSiQfidxqnt +3XpMbDas5qx9nDRcyl/Xx02nwinaM7fmaDKE//A4Pm1Ag82p6EpvFQKTO1st +N1uSQe3gx8ST8ghYdFjonbkhBBtHFhqOeyAwt3k7RyYbgeLG4u+qWggkqdKZ +e4eEQeVkUy5djwIK8Xb2Hw/wQyt6edcXZQQuvghxvLtWEPraJDjcKgicK+Hc +ycBJIHmq+8qaHjJc+LcoJKbNDT//2PikVSDAqQisXozhgSXZgdpvXAjcHZOc +6F7ghYbEDWghHYFMG7eH7smr+M1iXmOtw8R6vgu6CT+W8fEwwRMqRH3LXf4P +KLvn8GvXyJYaWyggvfzSPfDjH7zFcKopIJECsWMGsd9EF/ETlOrk8GQEGq9K +We4Mm8EjnMVrcjZSAE0M0Dy5Oo5zzZgc/cxPBcHz9bOdZ4fwTUXeFIESCuRV +G8daD/XgXjxRGVu3UCH60od4vzcduISDS6EPiwYm0SvvX5h9wcX40cH6VCp8 +jpU8x1LPw/P2jrWuOUCDwavfjbI0S1BLVDJ3x1Ea4NfpExlDvWijxv6RCKLf +Lea0DlFSGtGNtsxd9j9ooJb52l3/3DAaI/HyDAXoILLraKp+yQ9UcxgyfzIJ +v3odqVmzOoFeumfZHzJDB8euG76+IrNoaOtrMyUmE9SDtra+2DaF1i/bctuu +ZQBlqi3PqHEOdc19ZdIpzwSFJ+BQf2AFDam2OnOExIJyv+2xpNhFtC7evfP0 +XSZo9CoftqRzYbfvGbhZ2bJA+emmxHkDPux4q4rL3zw2BIeoPtQ8x42ZNEYH +H6xlwTcnudpUN0Gsy2D2lb0PB/6xh51glYRNhLGDY2kcOFhzSITVxoNlPKVr +Z4ezYV/8Q7vOeH7siFNsQccZUbiQ+lxsdxgZW8+JblvZIg57Bn/e1plAsICl +gl3egeKQojnlcuujEGZ4qjo/boMYyL7LkZHYTcUKRl6lUcwlwEejOMZrnQjm +p3Rv1wIuBrOH5IVXnWmYa/DQljUkSbgovmnstAgdMxtsTJaKlYTVj9tKzo/Q +wXnwFn9oBgKaW6dMeQ3o8DraYnxkiQxNkpHjxi+oUGArEMATjsBQiY1ibykd +O1HerFV8SArGSVcP3A+hAdekPGOS4B+1l6R23wEy7E0fKs3URuDaSl3BPnMK +ZDpeNNXiReBg4NaF+8Ei8PRrs8PaN8R9d5vVs+WEIVgI2VTTQYZTeFtE/z4B +MDE1UlNYJMNCjKHn6hw/HEhJW2WWIEA6RZmtLhMEzUZFSk06AvsbC7Okovng +uHTqFXYjArqLXhN6G3kBu3IZfUfoRSpcv8z+Cze01BYuvitFQKPaafy0Fxek +vVuTNJiFwOHz2vvhPcGH5aTxBGK9X08VM0ND5nFyWHqiHIcC+I3JNg7zH17F +qa8dvYtAtPKD8N3WS/jvYMUMX3EK7Ox2MZ5fmsJL4m/qjBpQIUGYQ9XSncSP +lsxJRgdRoFlot0N99wheVOBMcUep8C3nZJGRQz+eLN/lrR5EBb7L/aonorrw +f/prR43dqfA90POYwZrHaEmM+FqeKBrEFXoYb77Ugn8bNvYyr6JCOLrfWb2m +HN/h2BJ9gtAT+URKetHFX6iaxHvr5Qg6bC+7g1t2t6HqFHSBC2jQ1xcafzCy +GuU5x3djuIvIjwWxijsEBlGbgZuDZiZ0MLdyPaVN/YMK17UplYszYN1ZKfeO +yDH0zkRla+M8HR7Kfbt213UBbQ65RV3vxYR/jfX2Ky3TqF8YVnDjEgNMjndO +OCgtoy7nN9uvEH5zaG4n4+Ojv+h6uZ3dAUsMmJ2wbJYZ+4ca77mX+yKYBdvr +/Vamv3Fh/CuK+9srWCC1Vb3obQIvJqBsEGWlKwr+1Z053wx5MP1rffWCfYQe +D+iWXT9CwoqnlvtNY0Th740jKknc/Jjh3D8//22iENc46mulKoRZuCElhz9z +IHz/8oxHlQBW6ieVoqPJgTMs+WGtu8JYwEb9sYuqYmA0OnOJPSmC8QTKhtqq +iAPLNVO38zUFa+8q367rLAFCf26fWbBDsDWDhzzfPBYHv8bTLa5kGhYaeLRk +pFkCZPVz7ys+ZsBjGuWHhi0CnUtoVv4wHUrtb+aI1yPQzhP60USfDnvwTH1t +Qge/S/iE4qyY4Flnte8CwVu5ZxUzvtykwfqqKP/5x2Qgx173fZtJhetjX97d +tCeD8fH3Ma07KCDLitV1DUBAz2937VQfGdLX+gYkoAgMOt2JpFwTAYuTSXnP +NhL8luGgriorDON33GL5ifOOoDeCZqWCgBb6tK8l9Lblrbb5IWcBoKl2l+Qt +k4GS33r7tRYveKqkbmr0QmDFr3BfXBQfrHkdGx7oTfhP30jYpb/8sH7L6b2a +jmQANd9bDZ+5Idp0ffbdp2TIWqk6Mn6CC+bkc9fRohBIPr+mn077h3d7Huvs +fomAorlWjLnFEn7rg23v47cUcPnJsHjzbhavPRz3sc6ZAsIF+wKuXp/Hg/g2 +7JsdRiDLKfXo5PwULmLH33BeiwLqavmi6zZN4pG5khSrAArUX1sfrbmrH5/L +r/t2PJLgu9hjDvTTLfiJ2CuqOceowO9+IqyqYwT/+sruFHKcAp8n4uMMQ7rw +mmfp/wncp4JmX6uBd89j1FWPEdlrRAN54Vc1DzKr0UDm19OHj9NA6Y2D4Vhu +Od5z3yrGRo8GSRLYf8fH2tCMb56eK/U0eFarMFl19RcKS05uXqZ0oP/5dGwv +Mog+Vt43OfeaDv7LaRuG4sZQ0Q0vf9MIvSTKW7cZMv6gE/VUicWjDGiz+rGD +79s0aiv3WEngJAO0JW3jog8voMhtGa6Lj5igheNK637/Q20+OFeG3GVBUPSv +/Lonf9GJ2I9fWgh/qvk0jbuoLKN75pWTy/hY8OtMsSyWxItFdLpZrDEWhS3O +r8T9OrgwTnLaf/GDLMj2ueIoz8uPPYqX2Mv2EgXR+IGw/UY82IvCqx/G5lhQ +POjdLuBOwsR7EmLn+kThILdfV8N6IcwDcZOVr+DAOgHka0G4MDa+u0Fr9oAY +bPJVexj3RwTzPrv21+FfYnBfNc1y7JMAJiqtHbrZjwPIm8Mil/cgGGZMuu3U +KQ7qzS+snvmz4NwlLqOGKTK42Dp/3VTFBK5Xds7kbjJIsoYm3rOZUCV6Kurc +dUI/dYIRC7to8KGvbKPxDTJwJLWEbI8wwLnCelx5gsjfYZ/HOvPooDPtI3XH +CoGKwyP/PLnp8DeiNdhnPTG/b/0QX9+BgEyietObQDLUtacVbPcjQ/DfxKzU +TQjkP39qRzWiwryuAb3eE4G9uUL3XFkiYJpmupy8leC40esNl3OFgO6kxbUz +E4EHLEPmQxtB0NKw/nTxDxmMDlbSxhX5YMu3+tq9qggoa4iNCX3ggZPHnH14 +JxEI61ViNIXyQxWedyHnOwIB6aSeglES7O65mWV0gagrsyH12uIqvslR2XeN +PQI2o90Biq7cMPr6YO95ZwQc0XynqZOL+IBE2IOvEhTgYS+FlGiv4IekS52v +6VMg9Y3ZOZWMOVxGMUwi4jMCSnftFQ/1zuD+V37puMlTYCnKoSVeegrPdv3Q +1b+G8Cszr7ynryZw84MfU04uUcAXma26ENeLt4+fyUVGqLBj6fkej+wi3H2u +4UCIOQ2cDCKGqQrDePn6yq2/SqiQxO5zL+NpxCuEj7BczhN5x1XNqUP8B644 +H1adMEWF3/sWI1nZBSg6siEuOJ8GHsxPaVmmDajRG7+Jok4aoC602E/O39Gm +LLKf+BwNbm4+yvLV70Vzy4pbE5LoUNbmdyZm1wR65vP421prBljfcL7PXzGE +ur4Rl2h/RIcQbZO0qPE/6D1/DXlJRwY0etjnKgbMofRt7povHJig5yIr9tt4 +EWXLWiWWHWSCYcmrWwfyZ9AX1VdcPJsZsLFNTehKzSqa76pn1pxB5CPTY3Hy +O7kxadNAc5sGFhgWSduNInzYOnTffZ9mNmw00WggZfFgfHpT9y/8YkPg7ncK +r/lW0Ee7bDyzJVjQ3aDkVNBMwv5I3uefEOAAe3FPxZfT/JjMkZhejQ5ReNFa +ah2nK4j1DpxykpEk9BHKvO66LIwlfWS9WNcmBkXbftAvPRTCjDxqdGKI674T +k5VbiHVN0xbbl2uJfOHeWuFUxID/uLJ+/JBEQP853ePcHjosjnVLYAT/nJnV +/1VzjAm0jTbzHnlkCH35WmHNZTaImlC3VtMQkDWebh3gZ0CY0XbU/gDRz6pu +L7MJDg14SRUwfkcGMeOJarleKihdyumWuYWAdrbzVZ4UGtQ+2R/6k4zAyaSY +oLMlImCua2C3MxiBndVWH8IdhUH5JzxPriXD1fCiI1sIjhFPStwirYCAiLsk +tlcagVM+VeO/+QieOigWmTkjCBcfdi6JyiCAxemXV90XgJon/O0zOwl996jE +r9bywZ6q2Ac7CL6aon8jMhkJYnV6KkUwBHiSplQkj/PC5FlFLO4foW+hCzx6 +JB7gOOu0WUsQPIdSZ+xSuCBybG9OPo5AeXprcWfQP9zvitHneEKviPyxFtbb +JfwwJejlhVwE2KTRPdMpk7hCdeX1kjEK3Pvre8Nqdh4fDt2OnXiOwNEVf+1Q +zb94clN3IK5CgZowZ4PS49P40bkaxcc/KWDRbRi6u3QUj0FA6GgHBdI6i8/q +pHXjm8GY1rOHCjTeg2MftAbwD96s0bv5FPBLLXLYsakV33fVQyFdiQYd0glF +tvqVuH3tQyYviQblguaingLauGF+9L0zbTQIyGM0aiR1o74H7fs779Dh2Jct +6cYqragAw7aXLEyHYb4Nefj6AbR+QHgmi7iu4sOvrqtQido/VkH0EoicGmN4 +27ZoFC3pcGwI/UIH1tCjiuqpefSGzthOs2QmNNneUfF5Oomu7EXjksIZ4PFP +c/dmj2lU28JVudGQAZ9nlop41f+iFhImCZKGTPhP8mXD/iv/0At/XDxlbVhw +k4ecPMvHgzX4SEckBbOh2lsoI7J4CY3aVlQeJ8QC121bWR0evNjQkhVeWcOG +S3ek5OjJXNgX0sTUHxk2zK3JepKsTsLG0wVYl4dEged+zaGb9wSwy8fPVPBE +cWC9FDv9XQ0fVhnixcG/suFHM3fLiWlBzFsxq/lSLwee8UpuPnxYFG7Y30m0 +7CXmsdneH1e42OBrd3rxYw0CbUFV5ZO5bDj1tTGI/heB46WGHY+eMOHi790K +/i4I3LNM+EveRXDmlFnp/YfEvF/xvVS4mQG/Py0KMok8bceHx5jdokPXCwcZ +Vz0E/pN+v8OV2LeZi9zVtplkWH/+wIUmYp+2XaP1VRJ5weiB09i6MQZc7zns +IbdA8I/Voay5mwi0svJf630j9MIYONExTAGfUbEwsdsI3DjPmWAokKF0gHGo +rB2BS2a845YuQuC9NWjX5zgEPIV6SzXeC8Pwua/lRj5E3nqXPOq+JADTfhpV +m4j1xCNmKoPjSGDzIu9x/n0EuAvN1N828ULBT9ppUQcEQi6uqEjvWcXjSCML +H+wQQK3K9iTq8EPkq+cyXUT9CVy6AtNkbrhnbXx8ikXw1i7y9z3hy3jqhsQK +mSkEzo62y7Sd4oHtMidWPhD/L8IlKHNpywwumyD5x5mo16xvIryCZw4XruR2 +9TlPgS4Hyu17nxZw85vTmou+FEjcmS++we8PXkElLbXuoEJceK/M9rZBfFfx +2Qz1UCrwFoTEtriN49KHr1sIuRH8FUzaW2DZg7dQivb7G9BAmLfBcsuPJjQ2 +p3NouYkGX08r5JkHteN1cvbxl9k0iLSI/rfhXibe3KuY6rmHBruGdNy2N9Xh +2Y78PR8uUWH19ZMd51k4+jP0MWvbaxq8mhx/3kgbQVfzB1x1qQwYe06muEx3 +onmH3TLKNIk81E/rQm/0oelJcp7uxL7bx7u7LUVNoU9uRBfK/8eADkuducPx +v9HAnIrLQsYE10fwn3rvPIu2txesPie4fRf7nP1t2Xn01rk/leQLTAiElBHx +rBXUKsajeEWEBf3lnIv2/YvoLUOn1muEPuQf+g87PObGtr6dxtpvsMF8r4mf +jz4Xlr36Ftzl2TBxyuLy5n88WMub0e6pPjaUnO8+I3OID9PRWLs6qSYKCR3+ +0V82cICs/hYbFKTAx75VXZ4KfszJaph7WpYDicp6GQNKAliHj5CzhRUH7kgW +6I3Ws+G6Z23fl2QEQtcu7w6QZoNTzrhjCsEb9Y6KMgeDCA6sM1dpPIuAa9RD +HQEvFpg0K6GbBRHQ8SzcEV3ChIgHdsm6xPy2aWlpWyvEhFGl4ckUYv5afJea +yiF8uE1txpmH4JW1ViVfjZ/RIXQqzdvnEaGvGZmUuhlCL6/GypLLETgv35w6 +CgisS/qWvGU/kb+7G+45b6XB7wmuiTKifx8tSrk1yFOBun+sOvgNwUdeLslo +nBDU2QQfymslg9fUuxSFJWHoqzsnpauEwORhrr6oU/xQ/G3jbqYeBYSMci4f +0BGElcoZ+zsfEdhXlHBWwIUMTvs+N+ZdIvS06C/i30QCWQFzzxbifW4Po7++ +IvOBoHVDtxfhD/meJZaD27nBUkVmh5EaBYYyg3eSPq3i4zc6FC0sKHA3+09Z +bQYPcA+dPmgVT3wv5r58fssiLuzL5ab0mAJluTfmTHhW8NpPF39fCaXAyZI5 +zkvfORyzwzSn5xHYs71pId1iApcJNKXINlPgl47hG8nRP3hT/IGNvqkUuJKq +GtKTM4M/f8W8XQsUUJ7kKgjZ1Is75971vnqECmmH5weGdn3H7UMLltfGUGF8 +86wWBx/Cb6bm1BqlUOGP/mrdySe96DGDBUaDLx1qxHJma/UbcJGu+IukeSqc +0dd0iiM3otbzjZQ3qzQwtalx7PhahLYORJ1hc+jwW+BbxNObBbgrqc6lI5kG +0g+2S3GrDKP7MtVU36YTfrLfTLBE/gfqz//3LSOIDiNBP4ejCiZQgzPS768r +M6BsUzg3TW4KvZeU3J79gAGn3yz3f+ufQVvrityUBZhQYCtydYPeCtqNmanx +rTKB5JGEJGfNofvLp1WpO5jw9Ija5WM+i+jVkT3cAnlMqK1SKN1WwYM9fdSv +5V3JhmOtAUcXl1fRDfpM7mOtLMgJuDiF3ObH9mw639vYKAqtumZBKsp82CYT +38+Oa0Vh9X145aFD3NiFSN6ghp1s+B8MdQLq + "]]}, { + {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]}, {}}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1Xk0FPoXAHCRPVuZfTEzoo0eWh5F1mpCWVosgzT1hDRe2SqltNgiHrIU +GVTID5N6nkQuyZqlJ/FKKU+JlCWPrP3u/PE93/M5555777nn+z2Xzfd3/E1S +QkIiBY/4rodC0f1jHBB8H003dFKCpRYesMaHA7zqwRaxzZ+qdmR7ccDrK3NR +7MpnQaN/HOJAy33bw0bo+82m6086ceBbdbHeFnTGy85CA0sOqHt3dW9Fn/g8 +d/cBlQPet2RcTdHFPsVl68hYz/9astgjw571uQQO3A/zbBfb6+uzj0mqHJB+ +MbDdDO02Eb8yUIYDQ8WnNpujd8xr5mycYIP/LxxtSzRd1TbzzyY2nJA3sdiJ +5hSU6UzXs8HlUXKs2Kss2JWGdWw4XODYLbZB4NTrx0/YoHJOSsBFc3uE5NoH +bCi8xBXuQgcI/0tqy2RDM6OPbItu1suKGTzBBuMxTw8HdEeTPHWNPxtOWwvL +xO7iBxb4+mG8lIuKI/p98q7Gr15s0NQzqhV76sd36UkeGwRD9br7xP3VcMMl +drDBvriY7oQ+7TARQqGy4SCkeriL4xPlkqNJbHDu5YPYgS+Zohl1NpRHFnI8 +0AInm8//qLBh/fLyz2Lz3W8735BmQ09T+xlPtLXPASPaOAvcyVf/OiyeT3jF +LL2RBQHhn1N90em1HcS4ZyzYr1iscAxNXDposFDLgthRmTCxVSNXHHtbxYLf +K4O8/NDScX5vMh+wQLjXbZsA/S2NWcnMYoHpkh8KJ9HVoovnWMEsoKlN0M+g +26q5IZkBLIi3XxSK/a5N+QT1BAuW1oi0QtGLIzeOqPuxwPmMov5ZtPGaBzZy +fBaYC0rswtDl2f9SxnazwLLxeNFFtCjRqqxaC+P93o9dRUO2gshYkwUN0W5X +Y9Htoo6CRywW+C+/qR0n7q/NLfMBjQVjhocPXkPrKAZdzlNjwcdPW14noB1l +be4w5zRAZv3Af9fRVkPL3lXd04DORcvnQvT3zfIvrO9oQHAQLyEbnXNZuq47 +SwPs88P256CXsBYLxpM1YN3s1/5c9JMDo0Fa5zXgd0hTyEMb1b1QiturAYnf +vK8VoddnpZi4zTNhVbTo5GP025FEvaEpJuQVrOVVomO3xGsGjzNhl26/VRX6 +S1ekfMInJsSuVKVXo/OXne562sEEmaep/9SK388Z3vF1d5hgMN+b2Iwm7Wdl +zu5mwpGNMwpv0GXfAwoGuExImlu5rBe9L7HhzzZLJnQfSFN+i05sF7TlGDEh +286N1IdeZl3101qLCZI+kYb/oiVMXfk35xlgwu6v+IIeXp28yriQAbWOb1oW +0FENgxu07zJgKcdmZlH8v7y2mqlmM2Cgd8tqCWclOJLb7zyQwgDniuwYSfQ7 +hn5M7EUGeDKfHpJFdy5vG+l1YUDewjKeGrpyXrb0nBwDuqtlorTRX5pbqmYl +GRB4QEJ2NZqaHt8UskAHmSSFqDXokE2kDycm6GDj5ZaggzYQaKt69dKhdt2O +CgN0fp+VYI+IDvrKz4JM0ddrw9dqONNhT/l7oSu6LmH75gxHOuTfrT3qhp7w +kLeg7KZDHJ+s74G2n0twWWFBh5pWnZZD6GUbhVGyOnTwsHRh+KAv3nnyafQn +DdI624xPoQVRczmQR4NTC1nhaejacaavUw4NQs2lk2+giTwL/W8ZNFiUMirI +QFfpRlfTEmkwYkTrFYrzdxJ7g8/S4PXPTUcK0AUMA4KuAw1Sug2WPEYPlHpH +ps9SQXn6Zcx7tCE9do/ef1Q4e/P5Yj869koJoWGUCkPlxOCP6A3OU7mTA1TQ +c38oGBb3u3AJ7NqpcOd6ctQkmsXNmpG+TYVm72m+vIsS8N52HTu5mwpK4Yov +N6FvpdrbenGpQI/xiTZEv3do0XG1pII7Y4PFVrRXPXw1N6ICX5v6xAx9sqTQ +X02LCrlt9/ts0DHh4QGieQoUzQ218tEVWrqh3wop0D9TGZyEXujL4/XfpYAm +d29OCtrsBsf4VTYFBinDL9LR9crkhapUCrw8pWsiRP89LXk+7hIFNr9LtypC +Dzf1XNThUUBuezKtEU0VXI7xVaDAo8o6lSWuSvDVyd93fCkFzhPkiNJoMHe1 +PvWTDCMXWtny6KMEPYWISTJ8KZ7fpYZ+WPkmOvsdGRov1Lxlo3crbojuKSWD +t5KIYoW+kP8hcgePDIwfJbQ49N7E50db95NBLur6hz/Q2mf/2rnPngw9pZLF +KehWuzhZ/nYy7ItIdRWiqdOGked+IcPrqDyph+J62xMiHkqR4XSOX2YverB/ +2xXO/0iwhR1hsIGnBPcY4WEyeSS4uUc51BDt5/w0ZDibBIG5+5pN0GOtO31L +U0ngS992joueLbe3s7hEgu/UkE0eaOV4PoXvSoJJZePpGPTmrRFF2XIkUOFu +kxhG/whqvHtFigQjxZIGY+jHIgWhzyIRvB8VHZtCm2nHJ+pPEsFspG9K0g33 +iVpaSE0fESKmOo7T0R6DBeYfyohw5dD4J3t0RFJrF+s3IqzhWDkAWuDjH8P0 +JMKvbrf9G9D7TdVM6TwiXBMOpbShV37Zl09yIMLa63YSb9E1Fr1nlE2IcI5b +azqLnh8f1phXJwJzp1HoZnfcx/Zyvt11BDh+S/XXMrSr9j1mVzUB1usmRj1B +W8zbdP5dQQDFgOCBerRqfrxxm4gADk03Hneji38SVZ5lEECYVf15Bj1crPWw +NJAANqNEazMPJfBUslyMW0mAsDnb6C50z/L9pUwNzLdVQHiPtiMf9SqhEMA2 +/VXJMHqb5tW2DmUCNGQ0qUgcVAKGUeetFTPqUFXvHLYOfUHmTb7xK3VoDy2S +D0D/H5MWXwU= + "]], LineBox[CompressedData[" +1:eJwV1Hk0VP8bB/Bp7Mu9M2Pmm8yUYlSWUklpUXNDIkuRsiWVJBRS+CZ72cqe +lLJ8SaJEZCvLfYTQItmi0GKsLTSEUH6f3x/33PM6595zPp/neT+PwnF3c0cq +hULpRc//31/SVs2WvGRBayNXMdIeA4vKS0FZ3iwIz67YqncUg1c11zU3nWVB +avVUyX5k3YZ7w/WuLHD0Y+raIWu0vtw/dJQFklnGcd7IjGGmgqoRC7Yd5P3O +RW5mZtUULGcBl31TjnUMgz2uddSKRibkey7bOYWcX7O2JaeWCfGGmJjwcQxY +S26kJlUzYfE5m88M5C91zls8i5mQEuvwYi1ygDzNTeU/JgwFJXmcRC59a919 +w4cJv6uEFT4gK20ZKzi/igm+nMHHrQ4YXI2x8j+uwAQDj+vtX5AF/Jq9+5cy +IZmMlphAhvjEATUZJjx0qX7EPIGB7detnP4/MrArcHTqIHJC2uUwsw4ZkBpS +vtCHTBFh26lfloFbH0sYlJMYTF+ZUCkIkIEX90+EspB/0F9PrbsgA/UpoywV +5J6lQXEb3GQgkM+IMEd+ojlYq2klAz+sBM+ykT1PFKluXyMDwQM1eRZOGPTX +7p3Z086AcGMX54ZTGLw3VKpvbGbAXnf7rI/IrW/+xBs2MSAnYgdlBhk+PFIz +qmbADO7IUXHGIGVisb1pDgM40rv4UcgW3P56Cz8GuDuPDNm4YPA85OK1Y0oM +aFPctEjmNKrvnWLOvDwDnK55rlFH/lv3/U6SHAOEL67034u8Wexo8UucAXb1 +BbGXkLOv6nVs+k0HN08ImEYOS8RkJZvpIMEUPBo8g/qbnX6ryIcOudt72vrd +MTjR0KVo4kmHZglfhogHBkHDjAdDp+lQZKJycRVyuerliqXH6SB1IaPNGVm5 +4FRPmDEdjr4zThcgi5dvkLdVoAP1qUKHtCcGcdfCdcWSaBDqn3HS8Tw6j09O +2NRVGkhNfZ+MRK6ybWoaCKaBod+uR/nIo1yp/XVnaDAV2pk/g7y7OOZw8G4a +UCcev43xwmC2/brX3CQOB74O9NV6o/Muzro3dgAHceGCXPMLGPjO1o32GeIw +kXhT3x85vm9gbTMPh8HSF7I5yNXZq4vz1HCQ8qJa/UWW03oAzkI4iDy+c+ih +L8q/ZVF3fxEGn9+UXP7HD4MtySDVxUDfXT5wjh6IgXtPjcl3UQz48Ykm+sjZ +y2tjqfPS0C653t0PmZVdz1w7KA0XcvmRI8jjRS84IU+lYTL22OqGIAxyX7Wr +rXGQBjznr0VcCAZsyohRULEUXFZsUrILw8BMdzT6eq4U5MVys1KQI8K+vrmf +JgULTUo+PchT0j8OdERIwaPtdXJ24ShfchO2qnbofxN1u+MRGFzZ+Me1XUQK +JnqEtf2vYDB3khGlbCkJ7MFKt+kYDOjGNZQZY0lo/6yzfUcsBqs2nPVq0JEE +jX2idpeQzedajpxUl4TA6rYMehwGObFxG7JEJKGo7NL2dfEon+W0d8uLJUDf +y1Xc/xraBxK4oixDAoC+cdjuJgZ1P6qSBkUlQNRIe2UBcnfbGanSeXGQi6qt +oyRjIJz2etJiWBzSAhlr7yLbakQ3JJDi4M9ULRDcQvmxlT6Du4lDvEh933+p +GBzPkywXeSkGv2qfrTO5g8HN8Vtqc6QYyLyKuvIYuVlTLX28WAyYKcUu7CwM +tlUZhX1IEwNW5IOqEWSZ5iiLQk8xcHHYCTHZGDwbw38eZovBxcfeLwS5GChu +ZKoWO4vCNqHqB6sLMbDyuZOae0QUfF+z5tORYyo2MtIPiELRcNTQEpSLWV2L +mcgdotByqilB+jGqv8X15/YMUVCTmzadK8YgxFvWQeqJCAhpFghPl6P98IST +clxcBOyFttecrkH30XQNu/pHGJwjq62mkb/kP/UoFggDszshNeTZ/+fberdo +rzD8fWeocbsWOfrGj9xCYSj+25vaXo9yeYy566eNMPgKnVrn/AKDjxJSg4EP +hWDp3vfj8u0YHLls05KTKQSWFt01gNz3N/fp2xtC8MvJ3cahA3nCIJYbIgQm +uz4M3O9E7g3b0nBICPZNbwrQ7cagt5B6FacIwasnCRdv92HwwXp2Xao5FdRX +B4l8H0H19Z4xDjKgArF1pjtlFPUjYcrZYScVVA/EeZl8Rfl4KbijokqF1PU6 +IoXfUH+0v8qWLqKCU2dZSvAYqv/ynoXmR4vA4JnyEcNfaB4Gqt5QaIvA0Xfn +h38XoTmmVn7rF14EQgZdirpUHE7KP5VomKUAnVVmhKM5VbQs1Y0epEBeVL7e +PWEcUhrzy+SqKfBiPO5rvxgOcQ/S0zXOUKDv4OE3ETgO379QPzYmLZBjBsry +4UtxGO0mF38IWiBfpwR1hSzDYbjFz/S7ywIZHKZYFSiPA796qorBWyAl22Yk +/Ffg8P7WaIrN0F8yopzeFqqEQ6N5q803rb9k8+6j6m/X4JD5LKOT1j1Pir5r +vmK5E4f/nhzBFWvnyacHGXxftHfSHnH0NR/Ok7pduTHpBA7JaddLrILnSeW2 +bz3fdNB5fSMTM1Tmye5u0+Abe3Dw1zhrvtF3jjz2r564uhkOVplE8yHOLBk7 +3bnS2REHZq+Na6/oLNlEvdOWeRKHZlkv8ROC32RiUu3LXiccdKNzdc42/SYd +++zTLV1wUP9Xpuyqz2/y4On7Aht3tOdM+enQNkMG8ilExgUcin6Hn1WNmiaP +7tfeoRmLwxnNTLzQZ5rcfH+9TXIcDsrulQ+0HKbJC6eXDSzEo/vwxwf0tk2T +a/e5Gr5NxCHyjbWN/fAU+Wuw1DX0Fg5H76rpJupNkb2Go4s1s3HAzN6w/s5P +kvODI8zH1TgcnnFK/zo8SZrcFltPAA730ymq3e2TpF2MzpvmGhz2/NjAK86b +JBNyz90er8Mh+Gqis8vhSdIHQiL1X+Lwq966urNiguRLVhVpd+HQu43vVOAr +IBm24z+tJ3BY88VPkHJSQE61TV6T+4WDb+Q//lfMBWRH0LGe91M4yHbpJziq +Ckib6Y8njs/iYOaVW8l5/5M0XH/qXOgiGtQXuDEitv4kHQV6AUvpNLA1FHjV +jI+R5ioiIknqNPBl3Q3TrB8jA681mpWtp8HNj5Y37iWPkfio6ZP3GjTo9Koq +j9YZI9Wbt/et1qLB/syIOevEH+T6uLzsDzwa6M/JBwu0vpOrfhc53zejwfqH +RlHcwFEyZ/tpxx/eNBBl3M0MxQZIralNGocbaZDuIBPwmc8nHWjJVZ9e0GBL +aaD1jko+OXJI3dnpNQ1cbG3ov1z45PlwxsqLrTRovksLONHYT7bfCzeu7KHB +9W2+1rqXvpDMyRs7s3/SwKAxbQVV8JG8vV++KxanwyW3ibmZxg4yOEp4q/sO +OpRLv8395NFBTq8o9Wbz6PDjfr5l45IOsjHjrmwDQQerIefHN061k2z+sVAl +PTqsOfrJZbN4G6lC5y4f30uHTrPX3ef2tJCLLDThhRUdzFxM3Xuv1pNnm0Ar +3osOw0tCzJ9Hu/EsbXhxfo/pUOlVKidyLoTnw5f87FtChx2Or9Ju6kTzAu4+ +u+NbRocVin7tHz2SeWZ/dgcFVNAhgWLhLhRxj6fkeCvtRi0dXo6R2tevlfIc +09pLaO10cBry4h6Re84ThBnuk5uiw6b+liSdng5e1eyqS+k7GRAV0qMQIjTA +K/MGz7kOBjDP/ZTlC8Z4xj+V++vjZSBUp6hAgvWL5yDkH5x3iAmJ2S0TA6xZ +3h1hvbNvVVlwxpdseBaywBs4v62lQOkfCCpQV6w1pBL1Usld1vKLIb/bUfmu +uAgxPN1YXqgtC1uiJkNmb4oRDP1whWyLJWCcV7LWc6kkYWSaFDTjIQe7he1X +uHRKE9FH6Pwz+Wy4xbd36jhGI9zaKj9c6+WAa4DSxU8MBtETUmL8R20ZmO4q +cnE6LUNMNu67PPGvPNg3ugrnFDCJpUUV8pVFy+G4q9wzZfwfIlUuZnPz5RVw +rVWg4nBwMTEp/0Xx1UoFiPQYeKKeJEtEad6uMKhTAE/VV2e2CZYQ0nbPRZo8 +FCEyp+/lwmY24VKbmKgowwUdhaqpXG02oa7WXD7B4sJ88m0FCx028d+Iy5c6 +WS54XLXyyTFhEyYlhbudlnHByq1V0ewEmyhKeGiUp8yF1ZrPL2TGswkZfb19 +Wjwu1JMPV+/+xiZa3g6JmJ3mQsCWKPOxn2xirt2oSdGdC1sKXfyTp9nEc62d +8ZNnuZCXubrtO5VDvHpQon7ThwuJoRkBSXIcwnRid/rHEC44GF3vGNLnEO23 +n5q5J3Nhad05SoIxh2CEa9nuSuFCp7a5mrY5hyiM459ipnNhrzotOM6OQ0R6 +l8eVZXFBgxG5Zut5DjF06gGD8ogL3yKdLPsvcIjWMWnt1iIuZFP1Q6IDOUQM +4emSVcIF9iS16/MVDrEjVaPNoIIL7ac/U6PiOMTDkRCMU82FmAFy7eYkDtEZ +VGP0HbhgcCTN6tNtDuHMGokma7mw6J3fpSsZHELIbrIt/jkX/gdxr8ue + "]]}, + Annotation[#, + "Charting`Private`Tag$14274998#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->{ + 3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, { + 3.799278280790374*^9, 3.7992782900937853`*^9}, 3.799278351439066*^9, + 3.799278389225691*^9, 3.799278514536735*^9, 3.799279638687525*^9, + 3.7992802283585567`*^9, 3.7992802816319723`*^9, 3.799280326016467*^9, + 3.799280361536272*^9, {3.799282857616042*^9, 3.799282866676395*^9}, + 3.799283537427549*^9}, + CellLabel-> + "Out[1102]=",ExpressionUUID->"3cf4a07a-fed0-4044-b199-e9842ae674c7"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"sol2D", "=", + RowBox[{"FindRoot", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"{", "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalF]D", "[", + RowBox[{"2", ",", "A", ",", "B", ",", + RowBox[{ + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + ",", "x", ",", "2", ",", "2"}], "]"}], "=="}], ",", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{"\[ScriptCapitalF]Dinf", "[", + RowBox[{"2", ",", "A", ",", "B", ",", + RowBox[{ + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + ",", "x", ",", "2", ",", "2", ",", + RowBox[{"2", "-", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}], "]"}], "==", + RowBox[{ + RowBox[{"-", + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}], + "\[IndentingNewLine]", "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"A", ",", "0.013"}], "}"}], ",", + RowBox[{"{", + RowBox[{"x", ",", "5"}], "}"}]}], "}"}], ",", "\[IndentingNewLine]", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799180807089128*^9, 3.7991808276368227`*^9}, { + 3.7991808580224648`*^9, 3.799180861734915*^9}, {3.799180930992227*^9, + 3.7991809311196012`*^9}, {3.799181049986146*^9, 3.799181169915367*^9}, { + 3.799181300111656*^9, 3.7991813205893087`*^9}, {3.799181472960292*^9, + 3.799181515096014*^9}, {3.799181570472735*^9, 3.799181575617075*^9}, { + 3.799181635602063*^9, 3.799181680243128*^9}, {3.799181822926996*^9, + 3.799181845013075*^9}, {3.799182020872713*^9, 3.799182020976478*^9}, { + 3.799182156586933*^9, 3.799182275164572*^9}, {3.799182338999785*^9, + 3.799182356709907*^9}, {3.799182532155188*^9, 3.79918253325663*^9}, { + 3.7991827075570097`*^9, 3.799182707788034*^9}, {3.799183121938815*^9, + 3.799183133387308*^9}, {3.799183164293985*^9, 3.799183172460617*^9}, { + 3.7991833422325974`*^9, 3.799183373455719*^9}, {3.799183829016089*^9, + 3.799183898585396*^9}, {3.79918394643517*^9, 3.799183968314651*^9}, { + 3.799184652011235*^9, 3.799184652134934*^9}, {3.7991847139611797`*^9, + 3.799184734922689*^9}, {3.799184856133011*^9, 3.7991848879554033`*^9}, { + 3.799185051663848*^9, 3.799185064406308*^9}, {3.799185140113865*^9, + 3.799185204800802*^9}, {3.79918543272644*^9, 3.7991854498948393`*^9}, { + 3.799185711006762*^9, 3.799185741077106*^9}, {3.799193080512383*^9, + 3.799193110558422*^9}, {3.799193176962076*^9, 3.799193224418894*^9}, { + 3.799193263809907*^9, 3.7991932867376833`*^9}, {3.799193333332431*^9, + 3.7991933334025517`*^9}, {3.799193394181978*^9, 3.7991934187800493`*^9}, { + 3.7991934937902737`*^9, 3.799193494528131*^9}, {3.7991935967279873`*^9, + 3.799193610065131*^9}, {3.7991937037865257`*^9, 3.799193725538727*^9}, { + 3.799194631069624*^9, 3.799194653244233*^9}, + 3.799277239329878*^9},ExpressionUUID->"78a8ace5-821d-4d27-b2d7-\ +d226876ff9fe"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"A", "\[Rule]", "0.0002358689548304411`"}], ",", + RowBox[{"x", "\[Rule]", "10.049445870931132`"}]}], "}"}]], "Output", + CellChangeTimes->{{3.7991808216993637`*^9, 3.799180862108307*^9}, + 3.799180931732389*^9, {3.799181152977585*^9, 3.799181170650926*^9}, { + 3.79918120951182*^9, 3.799181235476692*^9}, 3.799181310544929*^9, + 3.799181426296399*^9, 3.7991817476456003`*^9, 3.7991818351033792`*^9, + 3.7991818844933453`*^9, {3.799181982574071*^9, 3.7991820058082457`*^9}, + 3.799182112820698*^9, {3.7991822055781727`*^9, 3.799182269579906*^9}, { + 3.799182318744883*^9, 3.7991823466453733`*^9}, 3.799182492439032*^9, + 3.799182675941188*^9, {3.799183141231515*^9, 3.799183167976919*^9}, + 3.799183296468463*^9, {3.7991838386913853`*^9, 3.799183900350835*^9}, { + 3.799183962976*^9, 3.799183974335788*^9}, 3.799184129380135*^9, + 3.799184197922843*^9, 3.7991843375981607`*^9, 3.799184615949195*^9, + 3.799184690319317*^9, {3.799184725675857*^9, 3.7991847304805593`*^9}, + 3.799184776060902*^9, 3.799184906760455*^9, 3.799185089157001*^9, + 3.799185272860224*^9, 3.799185673940814*^9, 3.799185777966242*^9, { + 3.799193106479947*^9, 3.799193111408073*^9}, {3.7991931958182507`*^9, + 3.7991932255789537`*^9}, 3.7991932688507*^9, {3.799193316562845*^9, + 3.799193335326036*^9}, {3.7991933756327868`*^9, 3.799193421047381*^9}, { + 3.799193599860334*^9, 3.79919361214032*^9}, 3.799193716011778*^9, + 3.799194492465289*^9, {3.799194642235339*^9, 3.799194659741699*^9}}, + CellLabel-> + "Out[628]=",ExpressionUUID->"a03c15e1-df0a-4565-a778-0eea92ee7344"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Plot", "[", + RowBox[{"Exp", "[", + RowBox[{ + RowBox[{ + SuperscriptBox["x", + RowBox[{ + RowBox[{"-", "7"}], "/", "3"}]], + RowBox[{"(", + RowBox[{"1", "+", + SuperscriptBox["x", "2"]}], ")"}]}], ",", + RowBox[{"{", + RowBox[{"x", ",", "0", ",", "10"}], "}"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799194494677067*^9, 3.799194540321404*^9}, { + 3.799194584587699*^9, + 3.7991945890188923`*^9}},ExpressionUUID->"aee1692a-103c-499c-bab0-\ +06e242ce4783"], + +Cell[BoxData[ + GraphicsBox[{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[ + 1.], LineBox[CompressedData[" +1:eJwVlXs41PkfxceMQS7JaEnMhK9SLonkFt6fUBFJ45JFCptaJNpUqk1LVrJZ +tZIlJtFFIlsUKlETKhRqi+zXMK7jNpdGM2bG/Pz+OM95zl+v8zznj2MUeYR+ +gEggEPIW9X9/6ilJVCZygX5tQXFcgYBUjc6bDjhwwX+bavXvsXJoc75sdXYr +F/SFDqGx3nL4PbjYnkrnQteejK3XzeVAzKnbHhrLhfo9xVJ8agHmF6YOfi7i +QlnFb+87ji7AZH/g3fdEHuAdBc+zsmRwTxRZHa/JgxeiW75tR2RwaHlCnYYB +D9jrH9HdA2Qw7H2xzXsTDxJOhD3kUWXQ39A43nqQB8HMvAP6NVJozzdd19TO +gz/W7sVUJiVwscbWel8vD0RPrKM+d0vA88MWx4URHjjf19/W1yABpnKYl7Oc +B59P+eadzJLAs+M5P9dZ82FK6SpStpJAZYC4vDqPD18/HUjgn52H7GXvzEr2 +C8CXvCM+21UM9fbUWt94AbS0EB8jMzEMhx8B6WkBZNwtOU3VEcPmSu2APdcE +EBKx7ErAjAjGvcJ+1egUgI7Jk9aKGyJwT5t+n7z5Gwwxqm4UqItAJNRMousI +od65Ou/ewhxg1Ei5HBNCRQbled/MHPh61GRWWgvh+Eafd2sH5uDWleBilZ1C +MHXQjaA2zQHdqqS1MU0I42diRPvS5qDykM1Kc54QkoQloKo5B5FfA16Q2udA +lFrmSXUUgmrh4OHE3jmQs90YzyyE8DAk3mBgdA7ctrt8TTAUAqkvI7lB4TuE +3j3ppKsihLIvDRsT7b9D8sbDjkFfvsHoJ8O7+M3vYEBlWB478w1iPkzl1CeL +oNfY5AmxWwCUnGQwzRDBf3T78rFWATTsUprJzRXBu8R9Dv3PBaD2fpV3wgMR +OBmSSwXlArjfQSebjoigiJHC/5wqgJm3dcm5fmKgnqbzf7QXQOLr85FHTOdB +dOfOx4R7fKANb1Oa2zgPTgxK/fWbfHhHXHLvDJqHCc5WWXcBH1ajS7zMH+fh ++AFOQHgWH3obrp4ry5oHrd6V+jNxfNhSfbu4d3YeWi7L4wYXd9cqbOtzr5OA +/N/UpMKXPGisv3j2LXMxzyHW7FMexH7xMd7dJYHeCeJZn1oevP6h6+dwjgTa +yu10aXd5kJzTKzppIAU/tV1rjbJ5MJjO0ak6JwX/6acJBaE8+CdB3X+FlwyC +Ezu2ySRcaC/QTq4MkoEe276nWciFUeZKhttPMjhKKdDLnuXCSr11k3EpMvD8 +Z3uhC5sL55u3pjXXyuCR4BZn7i0Xgigpj2KMF0BpmdNoSyEX5h/xtJ9LFoCm +YDWa5saF5bjIkb5EDu0qzVFrXLiwXoWwf0xHDk0vVmm8t+dCVNjS+1o2cmjU +yK6zsVzso2juEX1IDgo9UT5uK7hQHPjTMc1PcviFRVkiwGeh5HQsZ8MeAqJM +3JCreszChqYlooy9BCRbneXvv3kWmhTvkgeiCMhLVzm8zGYWWJeGDS8lENDZ +uMcR+41mgXZj756JTAIiNVc8dpXPQAFzF7PkGQFJY2gpmc9m4IqGbTHFWAER +CSfKSS4zkMqQ7v42pYCCdfdTrf2nwW9DXaK5QAE5OmTWHfGZBlrzL5cjxQoo +pHTz2pqt09AwxPnwgUxEOatI0b4O08Bf3burkkZElKWpaa3UaYi8X7sz2o+I +Zssral5PTMGW+nivL4+ISHxOU/gifQoIPSz07BQJSVe57t3SPgnnJxpLTv1G +Qhoviv/Y3jIJSwhFRMcLJNTLpj2hN00CxfJHZu1VEjo87ME+UTMJqzO6tj+o +JiF7u2Vs6fVJ2LH5pe/NURIinWNLJuMn4a/S0rALdEVkMqWWY6szCWuORZ8M +MCMjdXOmnWsiByydBvwZG8hIw2ukpzyOA7aEYCuOHRkxq/HCFYc44PaH12iK +OxnpV7gXy8M5EF5mEVARRkZx5sFqAh8O5H3kWxH/JKO+7K1Zces4QN6UMvZA +QEZOJ3M9/hqegGHhtSC150pot17mFuWoCdgxEvPrlUQVpF8dXrwmZhx8h3PM +aTRV9ICeF+yePwacV5Hn2irVkKHm8SdtU6OwXutfqvs+DaS8XDt9hecoqIIw +ol+wFAkyfjj2pnEEtk+HfDcOXIaOfyC+fuswAl9e/qQQYqGFcnc7XWhtHoba +C8xwQ6EWola2VEPYMESTk1idnRTU1nSnXfU7G6KOnq5VL9BGzjIP4WsGG6wO +mnf6RCxH31KLioz92PCeYqGW5PgDsv3buumKfAieVqUWWpB0UA/WZwf1Q3Ba +wcyv/T8dBJMf7RoSh0C1/5RnfI0ustSZGX1lNQQjt41yGWdWoPU2VaLbwkHI +XaunWB+oh1b7b+LL6gchpyC6NcJwJVJrP/rGLH0QQnL3dqqPrUSrtHvOf/If +BJHHLTGjUR9pCwzsugwHgT3idvJlhgEyRbvFkQIW3HSx1u+IoKInJ8Z7dzFZ +UJmepHXQkoYet3h3uxSwICMwypskpCHxQ53Qm0dZsKm/pDyjYxUqqolx3e/F +gvx1hZUd3oZIuoI6EGrCgpSmS/ne9YboSNCvF9IkA7BTP/DWWxMjFMwfHr/y +cAC2xLeGamUaIY3AL8WTCQPAMIg0aRcaoYV7tskWFgNg8upOnm+oMTq8k8tb +PYNDjuVLs+5GY0Te2yx1fYRDtECx640ZhpSkFLuQJBwi/+EbZv6JIcNsglqk +Cw5xqf7SHZcxVJDRNRLrjEOSf81n9b8wRH1lMJi0GYcLwqTsnDwMGduSHC86 +4lDlKJZcK8IQT+ZwuGYTDuJm+b+3KzBU1Z3PWrp+kd+tfonZiqHpIPvGrzQc +CkoPH/r9DYZqra79PUHFofRYp7vnOwy1DabkfjfA4bFOzvy7TgxR/DrHtfVx +6A/RPtTzCUN5gZdVfXVxMGXruQ+xMXTdxtOiTROHDTWnaGUjGErKey39vBQH +p/Sv4gNjGAqaDpoa08DBx7SoeoKDob6c/LUq6jgcjTWk8XgYsiB0Lt+hgsMZ +59/EDwUY2uVs9F+IMg7pGkMfjwkxpD7sy4xVwiH/QWmWSIShqyyD2UuKONw8 +p3iwYR5DGdwqGwYJh4rdB9zOSBd5Qwu51UQcaoxbqK4LGMr9m6zzUgGHRsEa +8eKhI1vp09oeAg7/A6NgmAE= + "]]}, + Annotation[#, "Charting`Private`Tag$6172359#1"]& ]}, {}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{0, 0.4688004755734625}, + 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, + "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->{{0, 10}, {0.4688004755734625, 2.000930823344711}}, + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->{Automatic, Automatic}]], "Output", + CellChangeTimes->{{3.799194506221608*^9, 3.799194540574852*^9}}, + CellLabel-> + "Out[625]=",ExpressionUUID->"45c68f1f-afe1-43f1-adde-36fe41dfe61e"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"test", "=", "\[IndentingNewLine]", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"10", "^", "X"}], ",", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalF]Real", "[", + RowBox[{"2", ",", "A", ",", "B", ",", + RowBox[{ + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], "-", "1"}], + ",", "x", ",", "2", ",", "2"}], "]"}], "[", + RowBox[{"10", "^", "X"}], "]"}], "/.", "sol2D"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"X", ",", + RowBox[{"-", "3"}], ",", "5", ",", "0.1"}], "}"}]}], "]"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799178014739478*^9, 3.79917817190007*^9}, { + 3.79917820956592*^9, 3.799178231749209*^9}, {3.799178282871127*^9, + 3.799178282966132*^9}, {3.799178374888632*^9, 3.799178422680767*^9}, { + 3.7991784592023706`*^9, 3.799178465858551*^9}, 3.799178509851185*^9, { + 3.799178592252684*^9, 3.7991785987159147`*^9}, {3.7991786382774687`*^9, + 3.7991787698310347`*^9}, {3.799180552682291*^9, 3.7991805796806803`*^9}, { + 3.799181442544293*^9, 3.799181465735372*^9}, {3.799181781228167*^9, + 3.7991817820283127`*^9}, {3.7991831499084587`*^9, 3.7991831503395987`*^9}, + 3.799183983698203*^9, {3.799184164734666*^9, 3.799184165725909*^9}, + 3.7991848008185463`*^9, {3.79918492774043*^9, 3.799184938315954*^9}, { + 3.799185287700121*^9, 3.7991852917706633`*^9}, {3.7991856859407673`*^9, + 3.799185690653472*^9}, 3.799185866345994*^9, {3.79919342657296*^9, + 3.799193427396006*^9}, {3.7991936212250757`*^9, 3.7991936327619877`*^9}, { + 3.799194668245398*^9, 3.799194669116234*^9}}, + CellLabel-> + "In[631]:=",ExpressionUUID->"d9b69c96-1d8e-4618-8be3-d41d2612def5"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]], "Input", + CellChangeTimes->{{3.799272632322135*^9, 3.799272635820796*^9}}, + CellLabel-> + "In[828]:=",ExpressionUUID->"e6b303b9-7d8c-4eed-b0e1-3aee993f2985"], + +Cell[BoxData[ + RowBox[{"-", "0.9927983490314373`"}]], "Output", + CellChangeTimes->{3.7992726364394827`*^9}, + CellLabel-> + "Out[828]=",ExpressionUUID->"7345dbd1-f06a-40f2-9ad9-985c3c04cab9"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"data2D2", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",", + RowBox[{"#\[Chi]", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "2"}], " ", + RowBox[{"G2C", "[", "2", "]"}]}], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", + SuperscriptBox[ + RowBox[{"(", "X", ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-", + "2"}]], "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], ",", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + SuperscriptBox["X", + RowBox[{ + RowBox[{"-", "2"}], "+", + FractionBox["1", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]], + RowBox[{"(", + RowBox[{ + FractionBox[ + RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", + FractionBox[ + RowBox[{"3", " ", + RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}], "2"]]}], + ")"}]}], "-", + RowBox[{ + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}], " ", + SuperscriptBox[ + RowBox[{"(", "X", ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-", + "2"}]], "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], + "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{"X", ",", "0.0001", ",", "10000"}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"#1", ",", "#2"}], "}"}], "&"}], "@@@", "test"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.7991535473962*^9, 3.799153571156912*^9}, { + 3.799153605781364*^9, 3.799153627221924*^9}, {3.799153677687544*^9, + 3.7991537255436487`*^9}, {3.799154305347486*^9, 3.79915431633066*^9}, { + 3.799154594383874*^9, 3.79915459509507*^9}, {3.799157170665045*^9, + 3.7991573112669287`*^9}, {3.7991574824721327`*^9, + 3.7991574832935534`*^9}, {3.799157571048935*^9, 3.799157637088265*^9}, { + 3.7991577429476*^9, 3.7991577430392933`*^9}, {3.799157917022194*^9, + 3.7991579325810432`*^9}, {3.799160041210148*^9, 3.799160049649089*^9}, + 3.7991602283348923`*^9, {3.799162574233603*^9, 3.799162595088484*^9}, { + 3.799162630122691*^9, 3.799162633665331*^9}, {3.799175779006465*^9, + 3.799175780288958*^9}, {3.799175885490629*^9, 3.7991759184990873`*^9}, { + 3.799176201704824*^9, 3.799176218216063*^9}, {3.799176279298258*^9, + 3.799176295225132*^9}, {3.799176332203107*^9, 3.799176481229267*^9}, { + 3.7991765581668653`*^9, 3.799176588670073*^9}, {3.799176636072299*^9, + 3.7991766533842363`*^9}, {3.799176773586261*^9, 3.799176783249345*^9}, { + 3.799176890629322*^9, 3.799176898868437*^9}, {3.79917697260588*^9, + 3.79917700331878*^9}, {3.799177064958495*^9, 3.7991770661905193`*^9}, { + 3.7991772387556953`*^9, 3.799177248970812*^9}, {3.7991773009886208`*^9, + 3.799177368797152*^9}, {3.79917751489571*^9, 3.799177544721425*^9}, { + 3.7991817851568537`*^9, 3.799181803764782*^9}, {3.799182900792144*^9, + 3.79918292649686*^9}, {3.799183048235071*^9, 3.799183096050811*^9}, { + 3.799184985390315*^9, 3.799185042162632*^9}, {3.799185102752943*^9, + 3.799185103703329*^9}, {3.799185374598337*^9, 3.799185407030299*^9}, { + 3.7991856952862*^9, 3.799185697117032*^9}, {3.799194676224284*^9, + 3.799194691326653*^9}},ExpressionUUID->"be4115a5-fb4b-4996-ad0a-\ +1dbaa8b4dc69"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU +rJDovJPISFZEieydjOz8zu+v8ziPc87nvM/5vF/v1/O1xu2U3VEeLi6uGW4u +rv8fNXgf5n569RlfP9I1n2xEBdsN02/vezeh+kt2AmPradBEtyrg+d2Oq/Rc ++VjhQ4W1sLGdFdyDb+O6Sz/QSAE/hkNlhtMMnucWM9unikBg4Y4D15zL0MB1 +x3sxIRoYuYgXP7/eiSqKkfrt39PgIrfVzlTKEH7gueLk/E0KvJZOSTkrM4ev +RI2+DzBFoMJfKppFysYtqzbs1TaiwdsLrut1Ho3jQfHfBSX/o4DXmntqPZF/ +8IZxue8cRQr0XEdHkqsX0deN1wXEphkgWcof49c+jPZvv7YlSIYOK+JsAc+I +FfSJU71qzzkmHHWyedzBO49GOCkmOsQxoPXL9a88R3+jlc/tZFSy6ZDT1FVI +N55FOR/Mn63fyIBr1gcPmtnzYa5Nd3UtU9kwbvtT222SB3t0ucPHPZ4F2SVH +kSt3ubFb9TNSJdUsyBPRbhyw7kPjtsvmK6ynQ4ufxuOHqlxYcbKsEbcEC0LO +BXtb+k+hHeb9o7+MGFD3IEvirYkIpnDn8sSVRA74hF271PZTCBM/RJIdiONA +Kl1nPM2dhh0wL9u37pwEjImbbDl2gor9O+8vkl8jDrak8X2qhfxYD+0r7s8n +CvR8WyUxMTrWxro6ydclASe2/GbfrqZj6ry3FXJJUqBqrvCZIi6AbfoiG3Ju +ryg8a+u5k5hKxipLD2VIl4pBMYm5cfkCA7td4PjZX0MKHEdkvYIFKNgjz6wB +aW1xWNtymz1zURALiZO866zBgSm1eU1JBw7G8b+S88RHDmx6a1U+YmxspU6i +ofaHDPQ4saxPqjGxuaqfvTfVpUE2afqF7hQb8z+xh/v6FVlwVvtee4ckhrEP +nrcdrJKDgn6xBrsIFjZ05LHi6lYZuGtCHUhPEcWOzlaJPW+QBa1zbRG9EhJY +nIOPe3rRGti1qHmzu5OJVQqTHj7MkAZRv+TbDnUS2KUcb28271o4ONhEXi0S +w+qeTWSaCq6B2tCJbT7HxbH4+0lL9Vpr4LFGnlfVZUksXebsgY79a0Gw4XOa +gaYU9n3dbH4X0e3rbaCu8xEfpOzcJta9QoYae4+35Sv80DTOaaxKI0PSEYua +L3MjuOUrsvfSCgJp3i1+pp9n8fd6Z/GYXAQSer21Rb9yAy3ip1V1ARm2ZboM +C0fN43bqcw16LyiQ9rVzdUGPFzjxzk7RRmSYHK5A42X+4ejR7AIHJQTCyjSO +vDSZxKlHVhuQcArYhxsHNTkt4U15bZSPLQj4UjxeBghM499TIl03TyBg8zF9 +acMZLui3detfcUGALCj/dYtXPx7sIqoc3UeBxpDUpyaZLXjeYrNCWR0V7mgz +xufROJQ63+y7PpQGG86JmmzXrUb54m8FNm+jAWVs1wGzvDa04KLz1/eXaLDU +ika0XBxDk2unZlPa6LD1VbKc0/suXCT6jUlZCwXKMzH1TUof8IHBffKTNVQw +lmv2yDvyC5U1GB1ZeUc8z7kfk8f7B6X8LPf+XkOHB7VulaaTA2hYx6sIAS06 +KNMjBn2rp1EZoQ8vM44xoJBhnSKqy4MJOilMP65jwY8v7A0bm7mwj/0TjjrX +WOAhM+LYKrGM2kxYLFElmMB7t13xSfc/NIQdrDttxILzgtJVIg4L6KHYbZU3 +NzDhmOLta4txvBgtIe7+YCQbnFxaJstdSNhm69jpmiOisPGpyOHn7wWwSPPi +A0KGHFjZk2XXtcSH/YorEV2REoW+/J2mYQpC2JHzCeKS5Rx4fy27xzTiL2q2 +6XT14jsGBO28d+FUiDD2naSnaGcrBgGk+EKpHApWvjbO78EXcWD/Z+ZzxIuO +UT3CftlXSkLLWGSO/YgIxjHicC2cEoP0snX6UyU0LEa636B0QgJaubhfBwnR +sKUH6cXi9hKQrVmzVt8awRKO1sjRNovDL3Oa484vDOwRe2BrykZpuGih/rZV +moGV7g9QW+cjBcX3yZKJvSzMYHH7msluGRjgE4wrCWJiiW4Wek0HpSHhQRub +Hs3G1t60kXRPlAX7Z/KNahtZ2LRB/7Vz3DKgYDU4d227KHbBY5ntTZWD++M8 +G2bnRLHCtwNrLM7JweVXTdei1Pjhxc5SpfZPZHiwkaqqf2kZ7zc2FNReocDz +iMS2GnceiNlSWB9qgcCucEcZQUkyVPlGXl/5Rwbn5/xZZwoX8Ic2BvsubEZA +XsYldv+UAPyyHrH/9IIMjj4dCQO83MBXqDWI6iKQfZWakl3NC6RgBcMpUQq8 +Cs3RlC8WhnVvb7WVjZEhKHjHWT7TVbzPq1tmIQ4BVVq9G+ogBNF8pj/L48nQ +vBrn4hdBgve5UYG9WxDoGvzloGadjr9h2aSSjGlQwaI7JhuP46W7uPV/LCDQ +ISdU3606g3d89YPc2wh4OzlVsPMHcZlj6/ewqVQQsL64FKzcgzu/XvfNikGF +6rBy00SFZnR0iU/ZMZwGKzHmGpJH/+DUH0odO5IpkJK/hCxLABr7Md/6zAka +2CoXRdwxqcMx/683xlVpwB7a8HZArx3Pqq8gJQjQwO90yc0cw5/o1XyTQisO +HSgLPloZk3/xsnTjXLMyhNDTwn+MZ1OofvbaS+2Ef721YyrEwm+06Z1KietW +BlR93YSemFtEe7al7fAKZMI3pQAeHp0RlGvVS/K0Dx18JOMNTmf0oc+nTN5I +/Uf4n6plfLvnLOqcv+fNwXAGZLtLcrmlcmMjtEA5ndcsOJLzJih5wzy6I1Ol +MdKcCdPavl2bylZQJQFR8VRFFrTI9929bMKFNUt2MGQPsWAZSeKonuDD8u/f +4ba+yQbXAKeubQK8mFbBe9Hhk2ywzUu2pnzmx1ozru8yChMFldl2fEpTAKMV +djxq+SIK66roAqWzQtjnCnvpeZoY1GGHkEQnEczgYtz1U55ikBYcFxj8lowh +d2XNznKJw2xtln1bpCAWVV2QF36cA6f3nWAek6FgY7/z/3ysFQfarSzZ2/J0 +7NKr6AuMFEkwctaytLxKxeoifndV7pMA33MPji+30LHxhmfJ5tpSkDoYMcA5 +Q8Pkfg2lcw1JwAG//46cvMnAxCWUPkiGS4FNw+1Au2Emxk1/ZzSiQfidxqnt +3XpMbDas5qx9nDRcyl/Xx02nwinaM7fmaDKE//A4Pm1Ag82p6EpvFQKTO1st +N1uSQe3gx8ST8ghYdFjonbkhBBtHFhqOeyAwt3k7RyYbgeLG4u+qWggkqdKZ +e4eEQeVkUy5djwIK8Xb2Hw/wQyt6edcXZQQuvghxvLtWEPraJDjcKgicK+Hc +ycBJIHmq+8qaHjJc+LcoJKbNDT//2PikVSDAqQisXozhgSXZgdpvXAjcHZOc +6F7ghYbEDWghHYFMG7eH7smr+M1iXmOtw8R6vgu6CT+W8fEwwRMqRH3LXf4P +KLvn8GvXyJYaWyggvfzSPfDjH7zFcKopIJECsWMGsd9EF/ETlOrk8GQEGq9K +We4Mm8EjnMVrcjZSAE0M0Dy5Oo5zzZgc/cxPBcHz9bOdZ4fwTUXeFIESCuRV +G8daD/XgXjxRGVu3UCH60od4vzcduISDS6EPiwYm0SvvX5h9wcX40cH6VCp8 +jpU8x1LPw/P2jrWuOUCDwavfjbI0S1BLVDJ3x1Ea4NfpExlDvWijxv6RCKLf +Lea0DlFSGtGNtsxd9j9ooJb52l3/3DAaI/HyDAXoILLraKp+yQ9UcxgyfzIJ +v3odqVmzOoFeumfZHzJDB8euG76+IrNoaOtrMyUmE9SDtra+2DaF1i/bctuu +ZQBlqi3PqHEOdc19ZdIpzwSFJ+BQf2AFDam2OnOExIJyv+2xpNhFtC7evfP0 +XSZo9CoftqRzYbfvGbhZ2bJA+emmxHkDPux4q4rL3zw2BIeoPtQ8x42ZNEYH +H6xlwTcnudpUN0Gsy2D2lb0PB/6xh51glYRNhLGDY2kcOFhzSITVxoNlPKVr +Z4ezYV/8Q7vOeH7siFNsQccZUbiQ+lxsdxgZW8+JblvZIg57Bn/e1plAsICl +gl3egeKQojnlcuujEGZ4qjo/boMYyL7LkZHYTcUKRl6lUcwlwEejOMZrnQjm +p3Rv1wIuBrOH5IVXnWmYa/DQljUkSbgovmnstAgdMxtsTJaKlYTVj9tKzo/Q +wXnwFn9oBgKaW6dMeQ3o8DraYnxkiQxNkpHjxi+oUGArEMATjsBQiY1ibykd +O1HerFV8SArGSVcP3A+hAdekPGOS4B+1l6R23wEy7E0fKs3URuDaSl3BPnMK +ZDpeNNXiReBg4NaF+8Ei8PRrs8PaN8R9d5vVs+WEIVgI2VTTQYZTeFtE/z4B +MDE1UlNYJMNCjKHn6hw/HEhJW2WWIEA6RZmtLhMEzUZFSk06AvsbC7Okovng +uHTqFXYjArqLXhN6G3kBu3IZfUfoRSpcv8z+Cze01BYuvitFQKPaafy0Fxek +vVuTNJiFwOHz2vvhPcGH5aTxBGK9X08VM0ND5nFyWHqiHIcC+I3JNg7zH17F +qa8dvYtAtPKD8N3WS/jvYMUMX3EK7Ox2MZ5fmsJL4m/qjBpQIUGYQ9XSncSP +lsxJRgdRoFlot0N99wheVOBMcUep8C3nZJGRQz+eLN/lrR5EBb7L/aonorrw +f/prR43dqfA90POYwZrHaEmM+FqeKBrEFXoYb77Ugn8bNvYyr6JCOLrfWb2m +HN/h2BJ9gtAT+URKetHFX6iaxHvr5Qg6bC+7g1t2t6HqFHSBC2jQ1xcafzCy +GuU5x3djuIvIjwWxijsEBlGbgZuDZiZ0MLdyPaVN/YMK17UplYszYN1ZKfeO +yDH0zkRla+M8HR7Kfbt213UBbQ65RV3vxYR/jfX2Ky3TqF8YVnDjEgNMjndO +OCgtoy7nN9uvEH5zaG4n4+Ojv+h6uZ3dAUsMmJ2wbJYZ+4ca77mX+yKYBdvr +/Vamv3Fh/CuK+9srWCC1Vb3obQIvJqBsEGWlKwr+1Z053wx5MP1rffWCfYQe +D+iWXT9CwoqnlvtNY0Th740jKknc/Jjh3D8//22iENc46mulKoRZuCElhz9z +IHz/8oxHlQBW6ieVoqPJgTMs+WGtu8JYwEb9sYuqYmA0OnOJPSmC8QTKhtqq +iAPLNVO38zUFa+8q367rLAFCf26fWbBDsDWDhzzfPBYHv8bTLa5kGhYaeLRk +pFkCZPVz7ys+ZsBjGuWHhi0CnUtoVv4wHUrtb+aI1yPQzhP60USfDnvwTH1t +Qge/S/iE4qyY4Flnte8CwVu5ZxUzvtykwfqqKP/5x2Qgx173fZtJhetjX97d +tCeD8fH3Ma07KCDLitV1DUBAz2937VQfGdLX+gYkoAgMOt2JpFwTAYuTSXnP +NhL8luGgriorDON33GL5ifOOoDeCZqWCgBb6tK8l9Lblrbb5IWcBoKl2l+Qt +k4GS33r7tRYveKqkbmr0QmDFr3BfXBQfrHkdGx7oTfhP30jYpb/8sH7L6b2a +jmQANd9bDZ+5Idp0ffbdp2TIWqk6Mn6CC+bkc9fRohBIPr+mn077h3d7Huvs +fomAorlWjLnFEn7rg23v47cUcPnJsHjzbhavPRz3sc6ZAsIF+wKuXp/Hg/g2 +7JsdRiDLKfXo5PwULmLH33BeiwLqavmi6zZN4pG5khSrAArUX1sfrbmrH5/L +r/t2PJLgu9hjDvTTLfiJ2CuqOceowO9+IqyqYwT/+sruFHKcAp8n4uMMQ7rw +mmfp/wncp4JmX6uBd89j1FWPEdlrRAN54Vc1DzKr0UDm19OHj9NA6Y2D4Vhu +Od5z3yrGRo8GSRLYf8fH2tCMb56eK/U0eFarMFl19RcKS05uXqZ0oP/5dGwv +Mog+Vt43OfeaDv7LaRuG4sZQ0Q0vf9MIvSTKW7cZMv6gE/VUicWjDGiz+rGD +79s0aiv3WEngJAO0JW3jog8voMhtGa6Lj5igheNK637/Q20+OFeG3GVBUPSv +/Lonf9GJ2I9fWgh/qvk0jbuoLKN75pWTy/hY8OtMsSyWxItFdLpZrDEWhS3O +r8T9OrgwTnLaf/GDLMj2ueIoz8uPPYqX2Mv2EgXR+IGw/UY82IvCqx/G5lhQ +POjdLuBOwsR7EmLn+kThILdfV8N6IcwDcZOVr+DAOgHka0G4MDa+u0Fr9oAY +bPJVexj3RwTzPrv21+FfYnBfNc1y7JMAJiqtHbrZjwPIm8Mil/cgGGZMuu3U +KQ7qzS+snvmz4NwlLqOGKTK42Dp/3VTFBK5Xds7kbjJIsoYm3rOZUCV6Kurc +dUI/dYIRC7to8KGvbKPxDTJwJLWEbI8wwLnCelx5gsjfYZ/HOvPooDPtI3XH +CoGKwyP/PLnp8DeiNdhnPTG/b/0QX9+BgEyietObQDLUtacVbPcjQ/DfxKzU +TQjkP39qRzWiwryuAb3eE4G9uUL3XFkiYJpmupy8leC40esNl3OFgO6kxbUz +E4EHLEPmQxtB0NKw/nTxDxmMDlbSxhX5YMu3+tq9qggoa4iNCX3ggZPHnH14 +JxEI61ViNIXyQxWedyHnOwIB6aSeglES7O65mWV0gagrsyH12uIqvslR2XeN +PQI2o90Biq7cMPr6YO95ZwQc0XynqZOL+IBE2IOvEhTgYS+FlGiv4IekS52v +6VMg9Y3ZOZWMOVxGMUwi4jMCSnftFQ/1zuD+V37puMlTYCnKoSVeegrPdv3Q +1b+G8Cszr7ynryZw84MfU04uUcAXma26ENeLt4+fyUVGqLBj6fkej+wi3H2u +4UCIOQ2cDCKGqQrDePn6yq2/SqiQxO5zL+NpxCuEj7BczhN5x1XNqUP8B644 +H1adMEWF3/sWI1nZBSg6siEuOJ8GHsxPaVmmDajRG7+Jok4aoC602E/O39Gm +LLKf+BwNbm4+yvLV70Vzy4pbE5LoUNbmdyZm1wR65vP421prBljfcL7PXzGE +ur4Rl2h/RIcQbZO0qPE/6D1/DXlJRwY0etjnKgbMofRt7povHJig5yIr9tt4 +EWXLWiWWHWSCYcmrWwfyZ9AX1VdcPJsZsLFNTehKzSqa76pn1pxB5CPTY3Hy +O7kxadNAc5sGFhgWSduNInzYOnTffZ9mNmw00WggZfFgfHpT9y/8YkPg7ncK +r/lW0Ee7bDyzJVjQ3aDkVNBMwv5I3uefEOAAe3FPxZfT/JjMkZhejQ5ReNFa +ah2nK4j1DpxykpEk9BHKvO66LIwlfWS9WNcmBkXbftAvPRTCjDxqdGKI674T +k5VbiHVN0xbbl2uJfOHeWuFUxID/uLJ+/JBEQP853ePcHjosjnVLYAT/nJnV +/1VzjAm0jTbzHnlkCH35WmHNZTaImlC3VtMQkDWebh3gZ0CY0XbU/gDRz6pu +L7MJDg14SRUwfkcGMeOJarleKihdyumWuYWAdrbzVZ4UGtQ+2R/6k4zAyaSY +oLMlImCua2C3MxiBndVWH8IdhUH5JzxPriXD1fCiI1sIjhFPStwirYCAiLsk +tlcagVM+VeO/+QieOigWmTkjCBcfdi6JyiCAxemXV90XgJon/O0zOwl996jE +r9bywZ6q2Ac7CL6aon8jMhkJYnV6KkUwBHiSplQkj/PC5FlFLO4foW+hCzx6 +JB7gOOu0WUsQPIdSZ+xSuCBybG9OPo5AeXprcWfQP9zvitHneEKviPyxFtbb +JfwwJejlhVwE2KTRPdMpk7hCdeX1kjEK3Pvre8Nqdh4fDt2OnXiOwNEVf+1Q +zb94clN3IK5CgZowZ4PS49P40bkaxcc/KWDRbRi6u3QUj0FA6GgHBdI6i8/q +pHXjm8GY1rOHCjTeg2MftAbwD96s0bv5FPBLLXLYsakV33fVQyFdiQYd0glF +tvqVuH3tQyYviQblguaingLauGF+9L0zbTQIyGM0aiR1o74H7fs779Dh2Jct +6cYqragAw7aXLEyHYb4Nefj6AbR+QHgmi7iu4sOvrqtQido/VkH0EoicGmN4 +27ZoFC3pcGwI/UIH1tCjiuqpefSGzthOs2QmNNneUfF5Oomu7EXjksIZ4PFP +c/dmj2lU28JVudGQAZ9nlop41f+iFhImCZKGTPhP8mXD/iv/0At/XDxlbVhw +k4ecPMvHgzX4SEckBbOh2lsoI7J4CY3aVlQeJ8QC121bWR0evNjQkhVeWcOG +S3ek5OjJXNgX0sTUHxk2zK3JepKsTsLG0wVYl4dEged+zaGb9wSwy8fPVPBE +cWC9FDv9XQ0fVhnixcG/suFHM3fLiWlBzFsxq/lSLwee8UpuPnxYFG7Y30m0 +7CXmsdneH1e42OBrd3rxYw0CbUFV5ZO5bDj1tTGI/heB46WGHY+eMOHi790K +/i4I3LNM+EveRXDmlFnp/YfEvF/xvVS4mQG/Py0KMok8bceHx5jdokPXCwcZ +Vz0E/pN+v8OV2LeZi9zVtplkWH/+wIUmYp+2XaP1VRJ5weiB09i6MQZc7zns +IbdA8I/Voay5mwi0svJf630j9MIYONExTAGfUbEwsdsI3DjPmWAokKF0gHGo +rB2BS2a845YuQuC9NWjX5zgEPIV6SzXeC8Pwua/lRj5E3nqXPOq+JADTfhpV +m4j1xCNmKoPjSGDzIu9x/n0EuAvN1N828ULBT9ppUQcEQi6uqEjvWcXjSCML +H+wQQK3K9iTq8EPkq+cyXUT9CVy6AtNkbrhnbXx8ikXw1i7y9z3hy3jqhsQK +mSkEzo62y7Sd4oHtMidWPhD/L8IlKHNpywwumyD5x5mo16xvIryCZw4XruR2 +9TlPgS4Hyu17nxZw85vTmou+FEjcmS++we8PXkElLbXuoEJceK/M9rZBfFfx +2Qz1UCrwFoTEtriN49KHr1sIuRH8FUzaW2DZg7dQivb7G9BAmLfBcsuPJjQ2 +p3NouYkGX08r5JkHteN1cvbxl9k0iLSI/rfhXibe3KuY6rmHBruGdNy2N9Xh +2Y78PR8uUWH19ZMd51k4+jP0MWvbaxq8mhx/3kgbQVfzB1x1qQwYe06muEx3 +onmH3TLKNIk81E/rQm/0oelJcp7uxL7bx7u7LUVNoU9uRBfK/8eADkuducPx +v9HAnIrLQsYE10fwn3rvPIu2txesPie4fRf7nP1t2Xn01rk/leQLTAiElBHx +rBXUKsajeEWEBf3lnIv2/YvoLUOn1muEPuQf+g87PObGtr6dxtpvsMF8r4mf +jz4Xlr36Ftzl2TBxyuLy5n88WMub0e6pPjaUnO8+I3OID9PRWLs6qSYKCR3+ +0V82cICs/hYbFKTAx75VXZ4KfszJaph7WpYDicp6GQNKAliHj5CzhRUH7kgW +6I3Ws+G6Z23fl2QEQtcu7w6QZoNTzrhjCsEb9Y6KMgeDCA6sM1dpPIuAa9RD +HQEvFpg0K6GbBRHQ8SzcEV3ChIgHdsm6xPy2aWlpWyvEhFGl4ckUYv5afJea +yiF8uE1txpmH4JW1ViVfjZ/RIXQqzdvnEaGvGZmUuhlCL6/GypLLETgv35w6 +CgisS/qWvGU/kb+7G+45b6XB7wmuiTKifx8tSrk1yFOBun+sOvgNwUdeLslo +nBDU2QQfymslg9fUuxSFJWHoqzsnpauEwORhrr6oU/xQ/G3jbqYeBYSMci4f +0BGElcoZ+zsfEdhXlHBWwIUMTvs+N+ZdIvS06C/i30QCWQFzzxbifW4Po7++ +IvOBoHVDtxfhD/meJZaD27nBUkVmh5EaBYYyg3eSPq3i4zc6FC0sKHA3+09Z +bQYPcA+dPmgVT3wv5r58fssiLuzL5ab0mAJluTfmTHhW8NpPF39fCaXAyZI5 +zkvfORyzwzSn5xHYs71pId1iApcJNKXINlPgl47hG8nRP3hT/IGNvqkUuJKq +GtKTM4M/f8W8XQsUUJ7kKgjZ1Is75971vnqECmmH5weGdn3H7UMLltfGUGF8 +86wWBx/Cb6bm1BqlUOGP/mrdySe96DGDBUaDLx1qxHJma/UbcJGu+IukeSqc +0dd0iiM3otbzjZQ3qzQwtalx7PhahLYORJ1hc+jwW+BbxNObBbgrqc6lI5kG +0g+2S3GrDKP7MtVU36YTfrLfTLBE/gfqz//3LSOIDiNBP4ejCiZQgzPS768r +M6BsUzg3TW4KvZeU3J79gAGn3yz3f+ufQVvrityUBZhQYCtydYPeCtqNmanx +rTKB5JGEJGfNofvLp1WpO5jw9Ija5WM+i+jVkT3cAnlMqK1SKN1WwYM9fdSv +5V3JhmOtAUcXl1fRDfpM7mOtLMgJuDiF3ObH9mw639vYKAqtumZBKsp82CYT +38+Oa0Vh9X145aFD3NiFSN6ghp1s+B8MdQLq + "]]}, { + {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]}, {}}}, {{}, {}}}, {{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJxTTMoPSmViYGAwBWIQ7SspsX5jttIBd3EzM8Fw3gN1f1mXKPIj+Osffp4x +cZMinC85S171/ksFOP8324KSSj0Ef/PZiYsb38rB+Q25zYtex8nC+bZlchrv +X0nD+ZzxkZ/OhkvB+ed1n15nOyMB57emSrncjBKH871q339pOyUK5zP8y9U5 +FyIC529Isa3PfyYE5+evXiP2JkIQzrfZ1pXJcoYfzt959bfe8+U8cL7WQT7t +ukmccH5NXYmJxyY2OP/Nb8njJyYzI8zzFkqvWcUA54dtnaJwlvX3fhhfNsfj +AeeVL3C+Z69zaaTkOzj/gtNXv8qJD+H8pP8nyqdWHofz9XzVHpWlH7OH8b+l +sq1y434E5yt8NE97vPwtnP/Cduu/S3Jf4fzkyq7Ifpuf9h5QfvhrrrvePr/h +8s1VsQHr2xkc4P7Z/1WjaTkznC9qZP1FcRIbnP/zxr0O3jxOOH//fqcpTh08 +cP7SK8GTXHL54fxtUyYxe3gIwvla1wLNQ/YLwfmLDQ/4s+mLwPm8a/uU7+4V +hfPb928ukDISh/M/fbSorDkqAecn2+WmtQRKwflPFH+c+XRIGs4PVX38rjVY +Fs6/tl+lq/6kHJyvt4urlV9GAc7PVNm86OMjBF/nFtvftjmKcP7eSv4wGRYl +ON8Pkn/gfADL7jAi + "]]}, + Annotation[#, "Charting`Private`Tag$6207523#1"]& ], + TagBox[ + {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwl1Ps3lAkYwPGpydiJjPtgmmnmZV5EtM6Gk8s8uR0UGdehdHEZkUtKZSKS +RMrKyGm3bVuh1eQe2WR5n+5qDbbjsq3aQqm2EBEd0u6e/eF7Pv/BVxCR5B+9 +lEaj+f7bf/oYGtQ17CbQpSa9xL2DDYl5lJVyF4Gb9Iv9nt1iw+lZae3raAIl +mQo1WRsbevuu1azaQWCyuD+r+iobwuQB1QWBBF6YsU7U+ZENUrVCRawTgZ+c +RjyGktmQ8VmlQsAisLbLay6dw4a6oQ/fFV0VIOe9/pamRH0wPLdK+OwNHw/F +ebzRmtOFeUZpisyKj5dNbBmu53SgUVlUnjXGwyHOmrt+rtpwJCG77O02Ll70 +btnk060JTgd4ZhN/c3DbXrV7619rAHN76JQyxAhz2ruyr8+qQfealwOMTgO8 +c6w0Z0KXCTnRRm6Pw9hY+nCqQhnJAO/DE9PHH+phbmZS0IlUOtAWEyy7AnVR +oyne+F07DeqjnDKTRrVRcvd9nCa5IEqqqtZ/J9FCBS28gR72UeTYnB+7rJOF +9g4Pbdwn34ta+uatXlWq4y+VBjXZZqOi1Tc1LDLkTLx+tIZ5x7tPlJ6R8o3n +VQZ+yCJj1xjHUO/mDe93FNNxd8XiuqjUAcpxo3ZM+hUaJmcWyyvOjVLB187w +lSrzlPNce0TP2kmKG+/5nNk7TZU4sqcH5z5SXgWu+0MNx6mGrETv78MXqB6X +GV9Z0RC1JcWe8uEswYgvHQdLZPcpkVlLq2k/Ha18yOEDMfdE6hEWKZ7ZDPwY +zbjioTYsUlru++FkHBP5k3bSkcox0eTB9ZdM+er42una4iPejIgZOMAdZbEw +UpYfWuj4SWSRbrXu0WFNDHm7/OnGTfMilUEbxcycJmYfCvery6WBbWdLk4lY +Gx2pGbOjlXQYzqmajbqng3o2DtMCOQOoL0+qfif08NMff+WtSGRCoaNq+85U +faQolzMueeowuOG8Kv0tGy/1BsjdElgQopp8q8fNEJvPyOmenlrgW1LfVNdq +hKv7xXaBlDYcGLE2aDVcieVf42aGtS4UTVc+frOHiytqvjV+2qYHpl35j8xf +8jCXatxjZMOG2cZg3kY+H6cm7WXpdw3AIJo7ceIJHyOdE6THxEbQePB5YliJ +AF8I5jqnbnEgJs7V9OYGAoOEI+M5AVwIubklrX6BwH7KJD/zAQ92zOl8ZVtl +jFY3luewVvJh5HSHq0+wCcaaNJZNDvOhvMCGM8YSouWfjM/HzwsgLc7RwrhN +iGaruitv/yQAmjLxrBkKURh11p9WLoAc64t0q9tC5I2bXpYpBHB6WuWJ/QMh +ai71CohvFsCljO5Tvn1CnDY/qRD3CKBbHjEuGxNim4wVvHIZASateQ09XBJv +tA/QQlUJuMJt5fbzSWyml1aVLCfA+sjYiUFjEusL1i5haRHg4O4fMWpOYtlF +cfUSHgF+3RydhXUkHn9QvPSVHQGHRmpTTH1JPKqxtcbYgYBF96HnlmISMwNM +JDucCTh2WcfHJpDE1KdNNY/dCChMSBU6hZEYN9kn6RQTUDG7od9fSqLU9gKd +GUSAeViKiySWxMg0aa27hIDaX3+uDY8ncavKLJ3aRkBLllrurr0kSryp2vmd +BDi/cPqQsJ/EoMLcUPtoAm577Nm+L5VE/97Ny/bvIsBLUfZbahqJvv//DLrU ++uwyMkj8Bz7vO3k= + "]]}, + Annotation[#, "Charting`Private`Tag$6207523#2"]& ], + TagBox[ + {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk8FfsbB/Cz56QoN2bOObZzcMhStjZ1zXNTbrpKoVDSSirSclW2UMqW +EtKtXIoUQkLLVTlPJWW5RJZoIyo3WaLN4fCb3x/zmtf7Na/5zmu+z/N8ZsRb +Apy9WQwGo4I+/n+21wvSL1s0QvUt87677rYZ7qnTsN60dIRaq7HFfEu1ARoY +JBIaXiPU0cSVXiYSPWwP4Y/WHBihTlX11RkqSzCx8cibyFMj1DLPkprHHmK0 +nzn2YF7OCFVs/GLwZ6sujoUHZvfhCLUls72uc68uFrf0x2S1jVClKrZNw1q6 +6Gvm6+cxNEKZJm/cX1qgg9pRnU6qynLKy3zNh3OWOvi8fZ3VYz05ZVTJG7er +1MYYiyaNkEVyiu/43e2GtzbaxqyQm6+RU+FveZ03VbTx65vK1x/85VSsw9CF +YpkW5s2BB2nH5VSAt/b5HQe1cNOJfy47Z8iphJ7S7k5rLVTvsoxRuiOnntyK +6XD9oYnVC/J3lT+TU4faGpLF5ZoYkWjg9Od/cmqlhnfpoxhNnPsx3dKYNUrN +r/1t/r9rNfHzr6RGh3CUGufnX+g01ES33smv/3AcpWqvjs0ZaxDh4WsCI/et +o5RCvWhQVCDCy7uM9m8LHqWCHoT18OJEONS7lB+WM0ptHX78/sYyEZL5rq6x +slGqEw/YzzEWIeW3NeNMyygl9/sZyZ8qwhOfI+YUcsaooIiJKX+0CLEk/1RE +mWiMeu9TpUi8J8R2v/SaSssxyvPGiaMvsoRo2Hd389tNY1Rl3l9dswOF+LDv +e8K0+2NUPdUZlSYW4n8F3DbNpjHqud6dzAgVIU7bPUN/Zu8Y5Z/fuJw/JsAN +/RZlvwkUVFD7+FDPCwFGFQJ3pbmC+pj7Ic/iqQDzdjutWve7gpqy7ood644A +f/b7fdgXqKCoij/D9c4JUOd6iEX4CQXVZGNqvyNOgPYBcaHxWQqqd8DIQBwq +wOSBq2qXGxSUr234QNMmAc4afGfbbDZOBfhL3V7OEuCaoi+xnUvGqbXHI1xt +9QQYuofR3Ld+nDofQfG/EQKsGtTaxYsbpzRGpk51Zglw2xf3s/M+jFNvOTtj +I9tJjL+x/Z2dYpxyCT4mnt9AYvHeA2arZkxQJ24Jymc9JXHiS/Ij38UTVNEU +d2i6ReL5obqBc+kTVNgLKKtLJfFB8WubKzcnKKl1D+FyisSefZ+PFddOUK+q +RuT8GBLnDPM1a+QTlPuP7S/4wfT1IIn+YRMG5PuWn521icSxtlwHzjwG7El4 +tU5vHYmqNhYBcYsZkJ3logBXEufKqbJUDwbMV9rYMbSMxKPBG1Zdj2ZA/HCW +OmFNYupL2YVZKfR6G+2rn80iMWeR5GPBRQYcnOlGFs8ksW78Q1j+Pwy457Gj +8KMOiZ0bHapMKhmw/MtXiY2IxK94bca1Rgb8tsQqtkiDROHRPddyexlwTuVD +O1eFRLPuxu9GPxngdGezeRefRFg6Z3EOhwnP1OTLO7kk+kySv7iixYTw0ne9 +i8YJLI4/yrvsxIRc2e1PXoMEPv78frWeJxP21Fs4zO4j8MWKZX9n+jKhzi5g +rugTgeOqU60vRTLB7ezJCLtuAqfvDQjXPcmE24f+rTrcSaB+Y0N1xnkmrIy2 +Cn7+hkCHlNTN6SVM2CLOnfGkjUDPbz/ztZAJc18M8L1bCdy9dv3PtFom/Op8 +LFTYTGAKqXvqwnt6PVioXv2MwKtBR9qFQ0xQV4xtelRHYFl7t8H5cSaMnVQP +bKwlsCMt995fBAsUyxI2m1cROKxQViL1WXDos+OBw08I5G3c7XLWnAUG14Zr +Oh4TaCq2+nTGgQVO2j51HQ8JpI6cmaO+lgUd05bUhD0g0LnrR0TKFhZ41XFy +zZDAg9n3iOQQFpQaeMsq7hMYx9PZqhbDAn0dG49r9whM2x5ZeDqFBXa2NqlZ +dwm8/rRrZNolFvDM6kwKygh8ONN+aWIBC+5xZzU8+YfA5ricRNUyFqze70wN +3yGwp3fyq5OVLNDe8cF8Nu1RR39DlecsmLFrwZaQ2wSqFNbvS3jLgmMbLU+3 +3iJQrGpZPuUzC6Z2Lw6zo229J4V/4icLUnXWfyy/SeDvDd9dlblsKFN+c9qB +9jpLj4tx09mgZJ4KXaUE+iff7eVrs2Fydd6deNoRX7XmxRqzwXjDGVxMO2lN +xBGleWx4lU3oKtHOvvXu32g7NiT1Wlx8WULgHWKpYNIqNhwoECjfp1196Oq2 +455seJRtbppP+3Ubv4i7gw0LdMfqc2gP2viNRgWyoS1Ds6KYNjutzp5zhA2V +z5a2VtHWUJgnHT3JhpcP57b10Z7plfyadYENqjuLz2vTz18k+2Z05CobLm8+ +1LeetlKzJMe0hA3pSWHrL9J+/snJsLWcDYZLD+wdoJ3OCLsSWc2G/vIfyv9/ +/50aeQamLWzwP2OnVEB7jmnr5ZZONsS42S0R0fvHWMzRj+xjQ7dHVHoy7bP+ +XpIWDgeSmUKTTHr/txyNvxQxjQPXjf7Smk/XZ9a5O7ommhzYoZxV2Eq7okJN +J8KKA3p7WVZWdL0T26l0Y4oD8Xq83n7a6wf9tJqXc8DDvr+6hO6PIdETkfEW +Dqjxj512p/up3OLr+SZ/DghQAfPLCYz9XSwMD+LAO5P/cnVlBOruDyGbEjng +uOudrTLdnyuqZ6sflnEgV+VlwRK6n8kOzxSjGg4Y50332l5JYPe32F+et3Dg +bsU5RhLd/8Hi7ulG/Rxwjm3AcXo+cg79pdKoyYWATCFa1RP458nHCaFGXGh7 +55yUTM8bdXloiqE1F4piinPkDQS21Dsqh/7BhdpbrqvfNNH1M2QqSYO54HEm +O2CknUCv5h3M4FYuuJlee7i7h0Dj3tQI/S4upLlN4djQefGNUTFR18+FBujx +Vf5M4AlT7XE9Hg8epkxswAF6no82yv+15sEvX7uW7f1BoLrlwq/iJB68X6iz ++90kEoswIfP03zy4edt2+jidZ45OHauYuTyoKXor055CYpTfsYIOGQ/2Ry+e +FjCNxKEr9T4ZffT9wxE2ywV0noq2tWk6TIINO0uJThMSo7kJ5QRDCVKyBaPL +6byWpLz1i1ZWgv/0594bXktiucRS9ENDCfaltqy86EHid6r1YIuZEhz07nzK +2UjitmCxxZn1SjDPum+ufAedrwM3s9RuK4Fm+4rgxAgSR168iZm6mw8l5MhD +myISU3ynbDgQzAdW6J7ZySUkmv9cYPH2OB8yIgmtAfr75EOcaSvK4MPjBZEb +b9wnsXHNH8auDXwQxiqVe9WQmNd4u+a89WS4stdF2e0jiZ61iSpGo5OhbU/M +sySxAGWyxSmLY6ZAs+z1QtV0AWY3uSQt8VeFPm5AyPs0Id5KSWIvWzYdfnui +HeReJULjltXzXGVqcGzGuS+qQ5qYZYFOvNkzIPVVQ6FAVxunFpzUe31fHRb8 +urBbZ68ORstK9ggtCUhPcK9b4KGLQ1/mB4U+JuHmoNPh2ZPFuNXW3ydqtRAS +ubOjzcrE2C3+WTv0UAQNUZ+CBjdKcI1BV/8xFy3w8Tz551R1PWyR6ceFV2nD +2sOzXc1kejirbPIxVU1dyFhgf/W+jz7u0C/J/PJOF5obThVSWgZo2s5THE8T +A1HNqSSeGqCRTv3VRxliWCrcdfWXGvp/dttZZ0aWGB5VzDutWmeA2v2GOUG5 +YhAr3odNajLAaSwHF79bYnBwrSj78dYAv86Mz139TAxbTdTutf0wwPtBqms1 +ORKofZSZl2UoxbLyVobHJAm01t+Ju2gsxVvsi9fOTJaASdWqfX+bSbEowZyp +Ol0Clnm9bmetpJh5aXU+U1sCd0+qhcZTUjxelcz6OE8Cc3/fJgl0k+IRFc8C +vYUSCPSOOLhvnRTDXfTdN9lKYPuzm88DNkjx0OvSgrYlEuiZ43Jp51Yp7vzS +7F67WgJ9RjmJmwKk6DM3nc1fI4EBvzdaXvukuDXEp3CpuwQefBy9sT5Qip7c +H2yZlwR0up/3rw2RovtyWeHoZglM6B8563pYimtORXvM95aAo2jC3jlSis5N +TpxAXwk8Ll2icIqS4koBef3GLgnIuh3LVkRL8X/Oz60z + "]]}, + Annotation[#, "Charting`Private`Tag$6207523#3"]& ]}, {}}, {{}, {{{}, {}, + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJwVznk81Hkcx/FpaER+M2Mu5zAzGBSKJEeabx4k7DpyzEaxKWdope1B7eKx +riGDmRwbuqaEFHZUHls0n5rZjnWkdawraS161E7tQ48ao4a1f7wfr8fzvzc7 +7ti+eDwOhwtd2//NGO7j6xWZAXHHTrOnfAy2Vg6e2F1nCid1nW8vrfl94LAo +q80EbjvHXXD5BoM2nbG29ofGwF2OJeStOU0+2Ts/agTf7epSTq/ZPvfla+Zb +Q3jQ03Mgcj8Gbz1m10esMsBmZV3TP2tu+TTPKaMygGrfLmuJwiBZ+oYnt6HD +rq5VSW00Brbp7w4se9KgFX9//OEBDBbsFrOdQqiweWLSzDMGg8a5jzVJRyiw +kR7Gon2LwZHL6s6LWQZgpfVAmBCHgeVBzeBoGRkmtFLdQuMxUDjhp0y9SZCj +/X31chIG3i26jNIUDA6F1+aL0zAAlkHIkngjhPSeSwvPxMDrZ6PShHu64PLn +4GDJKQzukViK4VkdiHaYsxfmY+BebLPirU+AeTw/qr8cg64VR7dfXLThPF7s +9rwBg+0nXY9bHMTDFgehyLMNA6nS64awEAe6JUaqATkGsb+X9qmiNTKHvAte +GdMYRP16Dg3fUMtu1GA0x1UM9jc33+rQfJQpGz8z3GyIEF7bZSsMWpTljMib +FvhEuKgvdB/apZSFz+oP3xETofrNdXbZzJwspogmdx8nAkUkopZqv5BxSfhM +qgMJWHV1j1UVfTLfqiH9hQoS8B/0aMRWP/IeHWKHXVlHXvt7UoXiBnhtevWJ +IT5kcMzNbW1TvuCdL+0Kqa0kg+TV5TTziHme4r4YW5wnw1WtgsL4TiXvcHKg +rdTPAEYpnUGjgkVe01DBbo3UAKYsr06od3ziaaayfftsKfDKpTqBuaDmEV0f +bVU2U2Det2gR1Wh4pn61G3S2USGz1ZMnleCQxNEr5+IjKixtc1nvcwqPzrKW +JezDNMjutu8dCdVG67r8qXM6dFD7WIsS7Qjoi38/ZfstOuT0M/lq3AZ0mG/j +wE9kwEoEg3lmTBcpP9wliliGkD9NnDXr2IiSTgclOLw0BO1EnZa2YgxVTfrd +y5UYgeD9ajqKJaHKELbHQrIxaO/8wSS5noymn6CSQRcT8MnL0jgVG6C/08/J +7+BNoVhxYmb5OAUFa7/uthwyhccbMuTyGCrqoLfebm80A72v066VBdBQehjx +Ku4UEwJEySURrnT07NJv254Gm0PpSHyqOYeBno1z6x5zLaDPOC54ATNEReWZ +kYoVC8BiYpw71IZIRU/OenKUBcGSKHr2nBHqa+qIyx9jQcV85NLu58bIvWfL +4k++bHi2KWxSr8cENb2IJtyVsoFyLPj+ULMp4j7tfMVkcWBfZ+Dlhioz9OFf +PUWjkANVKr+C+DwmKmmYFgd85sCwp0+iY6o5ys9uLyckWwI9DwWo+BaIsGxE +Gxm1BPu4C4wZNgvp1PsmSn2s4KsCM4GiloVcV2IF9VIrSLtWp27G2Ggzp5NU +zrIG4ROjo8J8Nhpv2EsWlFvDzTc1UxlqNvL3/rha/MUaBvTpQZHHOEidsnCl +LIUL7xzPyjzmOEjQ/RZXPcYFcqiBk0W0Jbpe0B10aY8NbM2skGg9t0Q5Lb3K +m7dsIKQao73eY4VwraTYHo4tZHSdKezrtkJ/eWR4DVTagmhcV9XhbI08FAK3 +mRVbkH4uTqputkZ77VPIH1Lt4A8mYSLbnIs4p/3FhEk7WOQVBMZUcVF3aH+1 +if8m+A86pl4+ + "]]}}, + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, { + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + 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->{ + 3.799157646323372*^9, 3.7991577522687597`*^9, 3.7991578128339252`*^9, + 3.799157941506836*^9, 3.799160220497615*^9, 3.799160268504189*^9, + 3.799162548759418*^9, {3.799162586310547*^9, 3.7991626052365427`*^9}, + 3.799162643034289*^9, 3.799175919359541*^9, {3.799176202236909*^9, + 3.799176219443248*^9}, {3.799176281319489*^9, 3.799176333907446*^9}, { + 3.7991763977034597`*^9, 3.7991764815007277`*^9}, {3.799176579629201*^9, + 3.79917658959522*^9}, {3.799176636748478*^9, 3.799176653709263*^9}, { + 3.799176780831897*^9, 3.79917678355869*^9}, {3.799176891162327*^9, + 3.7991768991901827`*^9}, {3.799176972882944*^9, 3.799176991388556*^9}, + 3.7991770665767927`*^9, {3.799177241169608*^9, 3.799177249390891*^9}, { + 3.799177301513876*^9, 3.7991773614228477`*^9}, {3.799177527050853*^9, + 3.7991775450250473`*^9}, {3.799181799414556*^9, 3.799181804398675*^9}, + 3.799181891357781*^9, 3.799182118794931*^9, 3.799182501243474*^9, { + 3.799182681617434*^9, 3.799182686051887*^9}, {3.799182922675789*^9, + 3.7991829269080687`*^9}, 3.7991830966248417`*^9, 3.799183152665144*^9, { + 3.799183305483885*^9, 3.799183308472115*^9}, 3.7991839856780853`*^9, + 3.799184204669628*^9, 3.799184342721187*^9, 3.79918444142542*^9, + 3.799184620261137*^9, 3.799184699612319*^9, 3.7991848025857553`*^9, { + 3.799184911602291*^9, 3.799184940854121*^9}, {3.799184994107936*^9, + 3.799185042803236*^9}, {3.799185094806713*^9, 3.799185104348*^9}, { + 3.799185282599937*^9, 3.799185293517847*^9}, {3.799185376773387*^9, + 3.7991854075781107`*^9}, {3.799185692567683*^9, 3.799185697491791*^9}, { + 3.799185873926753*^9, 3.7991858793388033`*^9}, 3.799193429222516*^9, { + 3.7991936227754793`*^9, 3.7991936340119762`*^9}, {3.799194663960142*^9, + 3.799194686536923*^9}}, + CellLabel-> + "Out[636]=",ExpressionUUID->"a786cd8f-99d1-4200-9de1-dcfde6d2aa4a"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", + RowBox[{ + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"-", "2"}], " ", + RowBox[{"G2C", "[", "2", "]"}]}], ",", + RowBox[{ + RowBox[{"-", + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}]}], " ", + SuperscriptBox[ + RowBox[{"(", "X", ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-", + "2"}]], "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}], ",", + "\[IndentingNewLine]", + RowBox[{ + RowBox[{ + SuperscriptBox["X", + RowBox[{ + RowBox[{"-", "2"}], "+", + FractionBox["1", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]}]], + RowBox[{"(", + RowBox[{ + FractionBox[ + RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", + FractionBox[ + RowBox[{"3", " ", + RowBox[{"\[CapitalPhi]2C", "[", "1", "]"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}], "2"]]}], + ")"}]}], "-", + RowBox[{ + RowBox[{"\[CapitalPhi]2C", "[", "0", "]"}], " ", + SuperscriptBox[ + RowBox[{"(", "X", ")"}], + RowBox[{ + RowBox[{"(", + RowBox[{"2", "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}], ")"}], "-", + "2"}]], "2", + RowBox[{ + RowBox[{"(", + RowBox[{ + FractionBox["2", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]], "-", "1"}], ")"}], + "/", + RowBox[{"(", + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}], ")"}]}]}]}]}], "}"}], + ",", + RowBox[{"{", + RowBox[{"X", ",", "0.0001", ",", "10000"}], "}"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{"test", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.799184491300336*^9, 3.79918449394098*^9}}, + CellLabel->"In[63]:=",ExpressionUUID->"d78d8e45-ddcc-4f90-827a-9b1f2bd45e93"], + +Cell[BoxData[ + GraphicsBox[{{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJxTTMoPSmViYGAwBWIQ7SspsX5jttIBd3EzM8Fw3gN1f1mXKPIj+Osffp4x +cZMinC85S171/ksFOP8324KSSj0Ef/PZiYsb38rB+Q25zYtex8nC+bZlchrv +X0nD+ZzxkZ/OhkvB+ed1n15nOyMB57emSrncjBKH871q339pOyUK5zP8y9U5 +FyIC529Isa3PfyYE5+evXiP2JkIQzrfZ1pXJcoYfzt959bfe8+U8cL7WQT7t +ukmccH5NXYmJxyY2OP/Nb8njJyYzI8zzFkqvWcUA54dtnaJwlvX3fhhfNsfj +AeeVL3C+Z69zaaTkOzj/gtNXv8qJD+H8pP8nyqdWHofz9XzVHpWlH7OH8b+l +sq1y434E5yt8NE97vPwtnP/Cduu/S3Jf4fzkyq7Ifpuf9h5QfvhrrrvePr/h +8s1VsQHr2xkc4P7Z/1WjaTkznC9qZP1FcRIbnP/zxr0O3jxOOH//fqcpTh08 +cP7SK8GTXHL54fxtUyYxe3gIwvla1wLNQ/YLwfmLDQ/4s+mLwPm8a/uU7+4V +hfPb928ukDISh/M/fbSorDkqAecn2+WmtQRKwflPFH+c+XRIGs4PVX38rjVY +Fs6/tl+lq/6kHJyvt4urlV9GAc7PVNm86OMjBF/nFtvftjmKcP7eSv4wGRYl +ON8Pkn/gfADL7jAi + "]]}, + Annotation[#, "Charting`Private`Tag$203164#1"]& ], + TagBox[ + {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwl1Ps3lAkYwPGpydiJjPtgmmnmZV5EtM6Gk8s8uR0UGdehdHEZkUtKZSKS +RMrKyGm3bVuh1eQe2WR5n+5qDbbjsq3aQqm2EBEd0u6e/eF7Pv/BVxCR5B+9 +lEaj+f7bf/oYGtQ17CbQpSa9xL2DDYl5lJVyF4Gb9Iv9nt1iw+lZae3raAIl +mQo1WRsbevuu1azaQWCyuD+r+iobwuQB1QWBBF6YsU7U+ZENUrVCRawTgZ+c +RjyGktmQ8VmlQsAisLbLay6dw4a6oQ/fFV0VIOe9/pamRH0wPLdK+OwNHw/F +ebzRmtOFeUZpisyKj5dNbBmu53SgUVlUnjXGwyHOmrt+rtpwJCG77O02Ll70 +btnk060JTgd4ZhN/c3DbXrV7619rAHN76JQyxAhz2ruyr8+qQfealwOMTgO8 +c6w0Z0KXCTnRRm6Pw9hY+nCqQhnJAO/DE9PHH+phbmZS0IlUOtAWEyy7AnVR +oyne+F07DeqjnDKTRrVRcvd9nCa5IEqqqtZ/J9FCBS28gR72UeTYnB+7rJOF +9g4Pbdwn34ta+uatXlWq4y+VBjXZZqOi1Tc1LDLkTLx+tIZ5x7tPlJ6R8o3n +VQZ+yCJj1xjHUO/mDe93FNNxd8XiuqjUAcpxo3ZM+hUaJmcWyyvOjVLB187w +lSrzlPNce0TP2kmKG+/5nNk7TZU4sqcH5z5SXgWu+0MNx6mGrETv78MXqB6X +GV9Z0RC1JcWe8uEswYgvHQdLZPcpkVlLq2k/Ha18yOEDMfdE6hEWKZ7ZDPwY +zbjioTYsUlru++FkHBP5k3bSkcox0eTB9ZdM+er42una4iPejIgZOMAdZbEw +UpYfWuj4SWSRbrXu0WFNDHm7/OnGTfMilUEbxcycJmYfCvery6WBbWdLk4lY +Gx2pGbOjlXQYzqmajbqng3o2DtMCOQOoL0+qfif08NMff+WtSGRCoaNq+85U +faQolzMueeowuOG8Kv0tGy/1BsjdElgQopp8q8fNEJvPyOmenlrgW1LfVNdq +hKv7xXaBlDYcGLE2aDVcieVf42aGtS4UTVc+frOHiytqvjV+2qYHpl35j8xf +8jCXatxjZMOG2cZg3kY+H6cm7WXpdw3AIJo7ceIJHyOdE6THxEbQePB5YliJ +AF8I5jqnbnEgJs7V9OYGAoOEI+M5AVwIubklrX6BwH7KJD/zAQ92zOl8ZVtl +jFY3luewVvJh5HSHq0+wCcaaNJZNDvOhvMCGM8YSouWfjM/HzwsgLc7RwrhN +iGaruitv/yQAmjLxrBkKURh11p9WLoAc64t0q9tC5I2bXpYpBHB6WuWJ/QMh +ai71CohvFsCljO5Tvn1CnDY/qRD3CKBbHjEuGxNim4wVvHIZASateQ09XBJv +tA/QQlUJuMJt5fbzSWyml1aVLCfA+sjYiUFjEusL1i5haRHg4O4fMWpOYtlF +cfUSHgF+3RydhXUkHn9QvPSVHQGHRmpTTH1JPKqxtcbYgYBF96HnlmISMwNM +JDucCTh2WcfHJpDE1KdNNY/dCChMSBU6hZEYN9kn6RQTUDG7od9fSqLU9gKd +GUSAeViKiySWxMg0aa27hIDaX3+uDY8ncavKLJ3aRkBLllrurr0kSryp2vmd +BDi/cPqQsJ/EoMLcUPtoAm577Nm+L5VE/97Ny/bvIsBLUfZbahqJvv//DLrU ++uwyMkj8Bz7vO3k= + "]]}, + Annotation[#, "Charting`Private`Tag$203164#2"]& ], + TagBox[ + {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1nk8FfsbB/Cz56QoN2bOObZzcMhStjZ1zXNTbrpKoVDSSirSclW2UMqW +EtKtXIoUQkLLVTlPJWW5RJZoIyo3WaLN4fCb3x/zmtf7Na/5zmu+z/N8ZsRb +Apy9WQwGo4I+/n+21wvSL1s0QvUt87677rYZ7qnTsN60dIRaq7HFfEu1ARoY +JBIaXiPU0cSVXiYSPWwP4Y/WHBihTlX11RkqSzCx8cibyFMj1DLPkprHHmK0 +nzn2YF7OCFVs/GLwZ6sujoUHZvfhCLUls72uc68uFrf0x2S1jVClKrZNw1q6 +6Gvm6+cxNEKZJm/cX1qgg9pRnU6qynLKy3zNh3OWOvi8fZ3VYz05ZVTJG7er +1MYYiyaNkEVyiu/43e2GtzbaxqyQm6+RU+FveZ03VbTx65vK1x/85VSsw9CF +YpkW5s2BB2nH5VSAt/b5HQe1cNOJfy47Z8iphJ7S7k5rLVTvsoxRuiOnntyK +6XD9oYnVC/J3lT+TU4faGpLF5ZoYkWjg9Od/cmqlhnfpoxhNnPsx3dKYNUrN +r/1t/r9rNfHzr6RGh3CUGufnX+g01ES33smv/3AcpWqvjs0ZaxDh4WsCI/et +o5RCvWhQVCDCy7uM9m8LHqWCHoT18OJEONS7lB+WM0ptHX78/sYyEZL5rq6x +slGqEw/YzzEWIeW3NeNMyygl9/sZyZ8qwhOfI+YUcsaooIiJKX+0CLEk/1RE +mWiMeu9TpUi8J8R2v/SaSssxyvPGiaMvsoRo2Hd389tNY1Rl3l9dswOF+LDv +e8K0+2NUPdUZlSYW4n8F3DbNpjHqud6dzAgVIU7bPUN/Zu8Y5Z/fuJw/JsAN +/RZlvwkUVFD7+FDPCwFGFQJ3pbmC+pj7Ic/iqQDzdjutWve7gpqy7ood644A +f/b7fdgXqKCoij/D9c4JUOd6iEX4CQXVZGNqvyNOgPYBcaHxWQqqd8DIQBwq +wOSBq2qXGxSUr234QNMmAc4afGfbbDZOBfhL3V7OEuCaoi+xnUvGqbXHI1xt +9QQYuofR3Ld+nDofQfG/EQKsGtTaxYsbpzRGpk51Zglw2xf3s/M+jFNvOTtj +I9tJjL+x/Z2dYpxyCT4mnt9AYvHeA2arZkxQJ24Jymc9JXHiS/Ij38UTVNEU +d2i6ReL5obqBc+kTVNgLKKtLJfFB8WubKzcnKKl1D+FyisSefZ+PFddOUK+q +RuT8GBLnDPM1a+QTlPuP7S/4wfT1IIn+YRMG5PuWn521icSxtlwHzjwG7El4 +tU5vHYmqNhYBcYsZkJ3logBXEufKqbJUDwbMV9rYMbSMxKPBG1Zdj2ZA/HCW +OmFNYupL2YVZKfR6G+2rn80iMWeR5GPBRQYcnOlGFs8ksW78Q1j+Pwy457Gj +8KMOiZ0bHapMKhmw/MtXiY2IxK94bca1Rgb8tsQqtkiDROHRPddyexlwTuVD +O1eFRLPuxu9GPxngdGezeRefRFg6Z3EOhwnP1OTLO7kk+kySv7iixYTw0ne9 +i8YJLI4/yrvsxIRc2e1PXoMEPv78frWeJxP21Fs4zO4j8MWKZX9n+jKhzi5g +rugTgeOqU60vRTLB7ezJCLtuAqfvDQjXPcmE24f+rTrcSaB+Y0N1xnkmrIy2 +Cn7+hkCHlNTN6SVM2CLOnfGkjUDPbz/ztZAJc18M8L1bCdy9dv3PtFom/Op8 +LFTYTGAKqXvqwnt6PVioXv2MwKtBR9qFQ0xQV4xtelRHYFl7t8H5cSaMnVQP +bKwlsCMt995fBAsUyxI2m1cROKxQViL1WXDos+OBw08I5G3c7XLWnAUG14Zr +Oh4TaCq2+nTGgQVO2j51HQ8JpI6cmaO+lgUd05bUhD0g0LnrR0TKFhZ41XFy +zZDAg9n3iOQQFpQaeMsq7hMYx9PZqhbDAn0dG49r9whM2x5ZeDqFBXa2NqlZ +dwm8/rRrZNolFvDM6kwKygh8ONN+aWIBC+5xZzU8+YfA5ricRNUyFqze70wN +3yGwp3fyq5OVLNDe8cF8Nu1RR39DlecsmLFrwZaQ2wSqFNbvS3jLgmMbLU+3 +3iJQrGpZPuUzC6Z2Lw6zo229J4V/4icLUnXWfyy/SeDvDd9dlblsKFN+c9qB +9jpLj4tx09mgZJ4KXaUE+iff7eVrs2Fydd6deNoRX7XmxRqzwXjDGVxMO2lN +xBGleWx4lU3oKtHOvvXu32g7NiT1Wlx8WULgHWKpYNIqNhwoECjfp1196Oq2 +455seJRtbppP+3Ubv4i7gw0LdMfqc2gP2viNRgWyoS1Ds6KYNjutzp5zhA2V +z5a2VtHWUJgnHT3JhpcP57b10Z7plfyadYENqjuLz2vTz18k+2Z05CobLm8+ +1LeetlKzJMe0hA3pSWHrL9J+/snJsLWcDYZLD+wdoJ3OCLsSWc2G/vIfyv9/ +/50aeQamLWzwP2OnVEB7jmnr5ZZONsS42S0R0fvHWMzRj+xjQ7dHVHoy7bP+ +XpIWDgeSmUKTTHr/txyNvxQxjQPXjf7Smk/XZ9a5O7ommhzYoZxV2Eq7okJN +J8KKA3p7WVZWdL0T26l0Y4oD8Xq83n7a6wf9tJqXc8DDvr+6hO6PIdETkfEW +Dqjxj512p/up3OLr+SZ/DghQAfPLCYz9XSwMD+LAO5P/cnVlBOruDyGbEjng +uOudrTLdnyuqZ6sflnEgV+VlwRK6n8kOzxSjGg4Y50332l5JYPe32F+et3Dg +bsU5RhLd/8Hi7ulG/Rxwjm3AcXo+cg79pdKoyYWATCFa1RP458nHCaFGXGh7 +55yUTM8bdXloiqE1F4piinPkDQS21Dsqh/7BhdpbrqvfNNH1M2QqSYO54HEm +O2CknUCv5h3M4FYuuJlee7i7h0Dj3tQI/S4upLlN4djQefGNUTFR18+FBujx +Vf5M4AlT7XE9Hg8epkxswAF6no82yv+15sEvX7uW7f1BoLrlwq/iJB68X6iz ++90kEoswIfP03zy4edt2+jidZ45OHauYuTyoKXor055CYpTfsYIOGQ/2Ry+e +FjCNxKEr9T4ZffT9wxE2ywV0noq2tWk6TIINO0uJThMSo7kJ5QRDCVKyBaPL +6byWpLz1i1ZWgv/0594bXktiucRS9ENDCfaltqy86EHid6r1YIuZEhz07nzK +2UjitmCxxZn1SjDPum+ufAedrwM3s9RuK4Fm+4rgxAgSR168iZm6mw8l5MhD +myISU3ynbDgQzAdW6J7ZySUkmv9cYPH2OB8yIgmtAfr75EOcaSvK4MPjBZEb +b9wnsXHNH8auDXwQxiqVe9WQmNd4u+a89WS4stdF2e0jiZ61iSpGo5OhbU/M +sySxAGWyxSmLY6ZAs+z1QtV0AWY3uSQt8VeFPm5AyPs0Id5KSWIvWzYdfnui +HeReJULjltXzXGVqcGzGuS+qQ5qYZYFOvNkzIPVVQ6FAVxunFpzUe31fHRb8 +urBbZ68ORstK9ggtCUhPcK9b4KGLQ1/mB4U+JuHmoNPh2ZPFuNXW3ydqtRAS +ubOjzcrE2C3+WTv0UAQNUZ+CBjdKcI1BV/8xFy3w8Tz551R1PWyR6ceFV2nD +2sOzXc1kejirbPIxVU1dyFhgf/W+jz7u0C/J/PJOF5obThVSWgZo2s5THE8T +A1HNqSSeGqCRTv3VRxliWCrcdfWXGvp/dttZZ0aWGB5VzDutWmeA2v2GOUG5 +YhAr3odNajLAaSwHF79bYnBwrSj78dYAv86Mz139TAxbTdTutf0wwPtBqms1 +ORKofZSZl2UoxbLyVobHJAm01t+Ju2gsxVvsi9fOTJaASdWqfX+bSbEowZyp +Ol0Clnm9bmetpJh5aXU+U1sCd0+qhcZTUjxelcz6OE8Cc3/fJgl0k+IRFc8C +vYUSCPSOOLhvnRTDXfTdN9lKYPuzm88DNkjx0OvSgrYlEuiZ43Jp51Yp7vzS +7F67WgJ9RjmJmwKk6DM3nc1fI4EBvzdaXvukuDXEp3CpuwQefBy9sT5Qip7c +H2yZlwR0up/3rw2RovtyWeHoZglM6B8563pYimtORXvM95aAo2jC3jlSis5N +TpxAXwk8Ll2icIqS4koBef3GLgnIuh3LVkRL8X/Oz60z + "]]}, + Annotation[#, + "Charting`Private`Tag$203164#3"]& ]}, {}}, {{}, {{{}, {}, + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJw1Uw1Qk3UYH0vppr1jG2ywDdgXG2wLCD3aKcT+OkEOyUM5E9AEgW0EFV4p +RICpkQ5LQTAQ5SMQB3GMXAcYH7kH0IQDFAIULOD4FIOMJDzo9Ije99179957 +z/3f/+/reR5RbPJ+LZVCoexbf///freWU3S+nA8zy9+nX43AILolv7GtgQcf +UZz8KJEYuKYWDqx0caFdOhl0ar0e3XJt0XvMCSzp2/SiKAyKn5Vi+ueOYJPc +JVpYrw/VVChKbR3hQW69Yv4QBjydcfcQjwNT91P+Vr6PwbCoJv4NbzbcMAnC +LEcwuDJqOq3ROEBsYH58cwwGB4vMpZ8ftAeT/tdiVRwG7AMNLeYkFjD5VygR +OgwGGU3Dc18wwZzX2LErEYP8ntZlwWUGBO3x8/RJxqCScVpaF2YHcmfa+OET +GIgNhmjnNAyuNxec42RiQPjdDAG1k1TLWas/Ggx6qp705GFwDffzOvxeVPJh +X7lVvy0E3zmXnVqPQSGudwOYU4Ney+u26qPCHyYugz1n1UMBL/rES5fNdBDi +/K8sZSKNz5IvHfg436qlivZLFzWRDhwc/4Wlam8Yc6yaTuI9t/xcYRvq8w8d +RPj9Py3pt7Ov33rXDhzx/2ctDc7zBuUtO+Di56OWZgcXfx6XARvxuteyK/5Y +lzyGARTyeVxa93GCmQFK4lwdlxOccQBjgpy4r9bVXzoeeJwJAgJfPXYvKuPI +LBMUBL+6c+6D84VxLOAQ+tR/2YT6Ns+zgE/oV5tDvmzVnbQHIeFPHf3IZOHy +HUBK+Fdf5Ek3bm1zgG+JfJDSgdX4MplN4lFR0uG72T/KOHCVyBdN7WtNMUxz +SHxb9NXJm2U3qx2t/UHthRNhMZ84kXw05JGZZDOIuNb+Iq8z70Ttt+eR/BjK +HVg46vWUB0ZiPtCpfsp8Zxuf1MNAKzslxy4VO8MQMV/IMXI5yzbNhdTHQhN3 +y141vOcKEcR8Iopp+4y/r8A6v6j87fQqySYh/EbMN6p2ekjpTBOS+jkoXDe/ +mvxUaN0PpD1bd8c2UgQlxP6gmjOajsxOkXW/UIH/+Ei3Skz64yJmnKBkwSiG +GGI/0ZNhg36cLSH98pGua1JrzJLAlOabjPALzkj7WFYbuCQBCe7fBTXJA+Pa +j7qBtidr50y8K2JyS/niPje4gechQDvKFCGJAVL4tCYgy89ViE5QohfLaqVw +Gc9HiKqm+Yn3eDKof7Zdv2GTCMVWiqKmDTIyLxHqZqXVrr6QwfIWVUjvsgj1 +p9w20rTuZH5ilF5essYecAdV6lbPggkxUggurgh2eJD7LkGPknJSPH7wgM9a +vBnRvRLU28dyestFTubrhvYm7Nmt+loOP60pl9yb3FC48X5wwKocRvC8paiC +NhIUqFfAvxqPh4uVUjS3rT4ydEhB5i9DC7MPLoRrlOBncGtqypUh72G7uSiz +kuyHO+qndiTECt6E/wC0d1g2 + "]]}}, + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, { + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[0.011000000000000001`], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-9.210340371976182, -14.85811410533321}, + CoordinatesToolOptions:>{"DisplayFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}, + DisplayFunction->Identity, + Frame->{{False, False}, {False, False}}, + FrameLabel->{{None, None}, {None, None}}, + FrameTicks->{{Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , + Charting`ScaledFrameTicks[{Log, Exp}]}, {Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , + Charting`ScaledFrameTicks[{Log, Exp}]}}, + GridLines->{None, 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}, + PlotRange->NCache[{{-9.210340371976182, + Log[10000]}, {-14.85811410533321, + 5.94557794164149}}, {{-9.210340371976182, + 9.210340371976184}, {-14.85811410533321, 5.94557794164149}}], + PlotRangeClipping->True, + PlotRangePadding->{{ + Scaled[0.02], + Scaled[0.02]}, { + Scaled[0.05], + Scaled[0.05]}}, + Ticks->FrontEndValueCache[{Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, 6}]]& , Quiet[ + Charting`ScaledTicks[{Log, Exp}][#, #2, {6, + 6}]]& }, {{{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, { + 2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 9.210340371976184, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 11.56171562913966, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 11.608235644774552`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-13.815510557964274`, + FormBox[ + TemplateBox[{"10", + RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox], + TraditionalForm], {0.01, 0.}}, {-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {6.907755278982137, + FormBox["1000", TraditionalForm], {0.01, 0.}}, {-11.512925464970229`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-9.210340371976182, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-4.605170185988091, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}, {-2.3025850929940455`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 4.605170185988092, + 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.}}}}]]], "Output", + CellChangeTimes->{3.799184494224378*^9}, + CellLabel->"Out[63]=",ExpressionUUID->"250dc79e-ac81-49b3-bf39-24a3546a0952"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"D", "[", + RowBox[{ + SuperscriptBox["x", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/", "\[Beta]\[Delta]"}]], ",", + RowBox[{"{", + RowBox[{"x", ",", "2"}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.799269869140285*^9, 3.799269880105503*^9}}, + CellLabel-> + "In[821]:=",ExpressionUUID->"5d351909-4645-464e-813a-59d5c13efedd"], + +Cell[BoxData[ + FractionBox[ + RowBox[{ + SuperscriptBox["x", + RowBox[{ + RowBox[{"-", "2"}], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ", + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]"}], ")"}], " ", + RowBox[{"(", + RowBox[{ + RowBox[{"-", "1"}], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}], ")"}]}], + "\[Beta]\[Delta]"]], "Output", + CellChangeTimes->{3.799269880312571*^9}, + CellLabel-> + "Out[821]=",ExpressionUUID->"b1890e13-2fa3-4855-9d6a-c951799c96be"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Collect", "[", + RowBox[{ + RowBox[{"D", "[", + RowBox[{ + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/", + RowBox[{"(", "\[Beta]\[Delta]", ")"}]}]], + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{"t", " ", + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]]}], "]"}]}], ",", + RowBox[{"{", + RowBox[{"h", ",", "2"}], "}"}]}], "]"}], ",", + SuperscriptBox["h", + RowBox[{ + RowBox[{ + RowBox[{"(", + RowBox[{"2", "-", "\[Alpha]"}], ")"}], "/", "\[Beta]\[Delta]"}], "-", + "2"}]]}], "]"}]], "Input", + CellChangeTimes->{{3.799177441113947*^9, 3.7991774763995047`*^9}, { + 3.799182729766161*^9, 3.799182740260255*^9}, 3.7991827831587543`*^9, + 3.799182842335731*^9, {3.799182964176639*^9, 3.7991829730962553`*^9}, + 3.799183559724412*^9, {3.79918856340546*^9, 3.799188595332732*^9}}, + CellLabel-> + "In[253]:=",ExpressionUUID->"08a9e4e5-d4f3-4d1a-9a97-38433efd9217"], + +Cell[BoxData[ + RowBox[{ + FractionBox[ + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "2"}], "-", + FractionBox["1", "\[Beta]\[Delta]"], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ", "t", " ", + RowBox[{ + SuperscriptBox["\[CapitalPhi]t", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]], "+", + FractionBox[ + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "2"}], "-", + FractionBox["1", "\[Beta]\[Delta]"], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ", "t", " ", + RowBox[{ + SuperscriptBox["\[CapitalPhi]t", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + "\[Beta]\[Delta]"], "+", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "2"}], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ", + RowBox[{"(", + RowBox[{ + FractionBox[ + RowBox[{"4", " ", + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]], "-", + FractionBox[ + RowBox[{"4", " ", "\[Alpha]", " ", + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]], "+", + FractionBox[ + RowBox[{ + SuperscriptBox["\[Alpha]", "2"], " ", + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]], "-", + FractionBox[ + RowBox[{"2", " ", + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + "\[Beta]\[Delta]"], "+", + FractionBox[ + RowBox[{"\[Alpha]", " ", + RowBox[{"\[CapitalPhi]t", "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + "\[Beta]\[Delta]"], "-", + FractionBox[ + RowBox[{"4", " ", + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t", " ", + RowBox[{ + SuperscriptBox["\[CapitalPhi]t", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]], "+", + FractionBox[ + RowBox[{"2", " ", + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t", " ", + "\[Alpha]", " ", + RowBox[{ + SuperscriptBox["\[CapitalPhi]t", "\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]]}], ")"}]}], "+", + FractionBox[ + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "2"}], "-", + FractionBox["2", "\[Beta]\[Delta]"], "+", + FractionBox[ + RowBox[{"2", "-", "\[Alpha]"}], "\[Beta]\[Delta]"]}]], " ", + SuperscriptBox["t", "2"], " ", + RowBox[{ + SuperscriptBox["\[CapitalPhi]t", "\[Prime]\[Prime]", + MultilineFunction->None], "[", + RowBox[{ + SuperscriptBox["h", + RowBox[{ + RowBox[{"-", "1"}], "/", "\[Beta]\[Delta]"}]], " ", "t"}], "]"}]}], + SuperscriptBox["\[Beta]\[Delta]", "2"]]}]], "Output", + CellChangeTimes->{ + 3.799177476570327*^9, 3.799182742379727*^9, 3.799182783647419*^9, + 3.799182842787499*^9, 3.799182973336986*^9, 3.799183560450472*^9, { + 3.7991885716434717`*^9, 3.799188595538877*^9}}, + CellLabel-> + "Out[253]=",ExpressionUUID->"7bbfb4bf-e341-47e6-b5c8-ca918afda2ab"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"D", "[", + RowBox[{ + FractionBox["1", + RowBox[{"(", + RowBox[{"xp", "-", "x"}], ")"}]], ",", + RowBox[{"{", + RowBox[{"x", ",", "5"}], "}"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7992607626272573`*^9, 3.799260808903955*^9}, { + 3.799260840953993*^9, 3.799260901089415*^9}}, + CellLabel-> + "In[706]:=",ExpressionUUID->"14d31467-478f-475c-ab49-80323ec026bf"], + +Cell[BoxData[ + FractionBox["120", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"-", "x"}], "+", "xp"}], ")"}], "6"]]], "Output", + CellChangeTimes->{{3.79926077973816*^9, 3.7992608090599833`*^9}, { + 3.79926084114296*^9, 3.799260901348024*^9}}, + CellLabel-> + "Out[706]=",ExpressionUUID->"4aab1022-c97b-4b7a-88a2-85667c337d47"] +}, Open ]] +}, Closed]], + +Cell[CellGroupData[{ + +Cell["New Schofield", "Subsection", + CellChangeTimes->{{3.799286063584346*^9, + 3.799286066345027*^9}},ExpressionUUID->"7280a427-4161-4a29-9095-\ +3b4597dddbfb"], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + 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"}], "]"}]}]}], ")"}]}]}], + "]"}]}]], "Input", + CellChangeTimes->{{3.7992864929128017`*^9, 3.7992864934010773`*^9}}, + CellLabel-> + "In[1115]:=",ExpressionUUID->"7b62b818-ac58-492a-bc0d-40e12d261bb1"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]2Dtmp", "=", + RowBox[{"SeriesCoefficient", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", "B2D"}], "]"}], "[", "X", "]"}], ",", + RowBox[{"{", + RowBox[{"X", ",", "0", ",", "0"}], "}"}], ",", + RowBox[{"Assumptions", "\[Rule]", + RowBox[{"{", + RowBox[{"X", ">", "0"}], "}"}]}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799287299636573*^9, 3.799287338355678*^9}}, + CellLabel-> + "In[1127]:=",ExpressionUUID->"bfec9b16-3425-4418-8891-3503a1b9a26a"], + +Cell[BoxData[ + FractionBox[ + RowBox[{"A", " ", + SuperscriptBox[ + RowBox[{"ArcSinh", "[", "1", "]"}], + RowBox[{"1", "/", "4"}]]}], + RowBox[{ + SuperscriptBox["2", + RowBox[{"3", "/", "8"}]], " ", + SuperscriptBox["\[Pi]", "3"], " ", + SuperscriptBox[ + RowBox[{"Log", "[", + RowBox[{"1", "+", + SqrtBox["2"]}], "]"}], "4"]}]]], "Output", + CellChangeTimes->{{3.799287332585656*^9, 3.799287339122821*^9}}, + CellLabel-> + "Out[1127]=",ExpressionUUID->"475abb7b-d038-4afa-bb3f-fc5e2e84764b"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"e1", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]c", "2"]}], "]"}], + RowBox[{"-", "\[Gamma]"}]], "\[ScriptCapitalY]02D"}], "\[Equal]", + RowBox[{"Simplify", "[", + RowBox[{"Y0", "+", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], ")"}], "2"], + "\[ScriptCapitalY]2Dtmp"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], + "]"}], "[", + RowBox[{"2", " ", "\[Theta]c"}], "]"}]}], "]"}]}], "//.", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "->", "1.0514884216945115`"}], ",", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}]}], + "}"}]}], "//", "Expand"}]}]], "Input", + CellChangeTimes->{{3.799293306544406*^9, 3.799293348282279*^9}, { + 3.799293389378928*^9, 3.799293465516193*^9}, {3.799293496245105*^9, + 3.79929353236604*^9}, {3.799293944292547*^9, 3.799293948619625*^9}, { + 3.7992946328154297`*^9, 3.799294635157052*^9}, {3.7992947681206636`*^9, + 3.799294788279757*^9}, {3.799294833171996*^9, 3.799294834368535*^9}, { + 3.799294883394321*^9, 3.7992948873526077`*^9}}, + CellLabel-> + "In[1233]:=",ExpressionUUID->"aea7d906-5afc-4a15-b000-27d193b862d8"], + +Cell[BoxData[ + RowBox[{"1.3049881733387974`", "\[Equal]", + RowBox[{ + RowBox[{ + RowBox[{"-", "0.07197491260579027`"}], " ", "A"}], "+", + RowBox[{"5.130711687634819`", " ", "A", " ", "h0"}], "+", + RowBox[{"731.4827199808171`", " ", "A", " ", + SuperscriptBox["h0", "2"]}], "+", "Y0", "-", + FractionBox[ + RowBox[{"0.0010096821571744226`", " ", "A", " ", + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.01402825124226959`", "/", "h0"}]], " ", + RowBox[{"ExpIntegralEi", "[", + RowBox[{"-", + FractionBox["0.01402825124226959`", "h0"]}], "]"}]}], + "h0"]}]}]], "Output", + CellChangeTimes->{{3.7992935202401857`*^9, 3.7992935327979307`*^9}, + 3.799293949355529*^9, 3.799294635886009*^9, 3.799294715324243*^9, { + 3.799294769876501*^9, 3.799294788581222*^9}, 3.7992948395528803`*^9, + 3.7992948880652657`*^9}, + CellLabel-> + "Out[1233]=",ExpressionUUID->"d4aed958-42b4-44bb-bf7a-c8a57b26231b"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"e2", "=", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"h0", " ", + RowBox[{"g", "[", "1", "]"}]}], ")"}], + RowBox[{ + RowBox[{"-", "\[Gamma]2D"}], "/", + RowBox[{"(", + RowBox[{"\[Delta]2D", " ", "\[Beta]2D"}], ")"}]}]], + "\[ScriptCapitalY]\[Infinity]2D"}], "\[Equal]", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}], + "[", + RowBox[{"(", " ", + RowBox[{"\[Theta]c", "-", "1"}], ")"}], "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], "B2D"}]}], "]"}], "[", + RowBox[{"(", " ", + RowBox[{"\[Theta]c", "+", "1"}], ")"}], "]"}]}]}], "//.", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "->", "1.0514884216945115`"}], ",", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}]}], + "}"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.799293535329914*^9, 3.799293628024756*^9}, + 3.799293710287335*^9, {3.799293742130342*^9, 3.799293745305656*^9}, { + 3.799294643782908*^9, 3.79929465041063*^9}}, + CellLabel-> + "In[1225]:=",ExpressionUUID->"2a603e3e-a825-4743-82a4-a7106868ad2f"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"e3", "=", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"-", "2"}], + RowBox[{"(", + RowBox[{"-", "0.4812908661543487`"}], ")"}]}], "\[Equal]", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}], + "[", "\[Theta]c", "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], "]"}], + "[", " ", "\[Theta]c", "]"}]}]}], "//.", + RowBox[{"{", + RowBox[{ + RowBox[{"\[Theta]c", "->", "1.0514884216945115`"}], ",", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], "]"}]}]}], + "}"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.799293635739888*^9, 3.7992936811455317`*^9}, + 3.7992937131996727`*^9, {3.799294654615035*^9, 3.799294705980193*^9}}, + CellLabel-> + "In[1226]:=",ExpressionUUID->"e3fa7126-bda4-48f3-879c-bb44b9ae71fd"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"s2D", "=", + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"e1", ",", "e2", ",", "e3"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"h0", ",", "0.57"}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", "0.0014"}], "}"}], ",", + RowBox[{"{", + RowBox[{"Y0", ",", "0.94"}], "}"}]}], "}"}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799293682172894*^9, 3.799293695216408*^9}, { + 3.799293760299116*^9, 3.79929377307885*^9}, {3.799294719711046*^9, + 3.799294723430684*^9}, {3.799295146678824*^9, 3.799295147277165*^9}}, + CellLabel-> + "In[1237]:=",ExpressionUUID->"41f2f4cf-a5be-4145-8664-24934d077dd3"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"h0", "\[Rule]", "0.577022012095443`"}], ",", + RowBox[{"A", "\[Rule]", "0.001456398140076254`"}], ",", + RowBox[{"Y0", "\[Rule]", "0.9460666830254918`"}]}], "}"}]], "Output", + CellChangeTimes->{{3.7992937014548283`*^9, 3.799293718387292*^9}, { + 3.799293755038495*^9, 3.7992937735332413`*^9}, 3.799294673540114*^9, { + 3.799294717062633*^9, 3.799294724300838*^9}, 3.799294895103196*^9, + 3.799295147530353*^9}, + CellLabel-> + "Out[1237]=",ExpressionUUID->"e8964620-4d01-412a-9f77-0db331bf6906"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Theta]c", "=", "1.0514884216945115`"}], ";"}]], "Input", + CellChangeTimes->{{3.799295199484185*^9, 3.799295201045396*^9}}, + CellLabel-> + "In[1238]:=",ExpressionUUID->"7625b2fc-0acc-473e-a425-29f248935ea5"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["\[Theta]", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], + RowBox[{"\[Theta]", "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + "\[CapitalDelta]"]}]}], "/.", "s2D"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{"\[Theta]c", "-", "0.00001"}], ",", "0.00001"}], "}"}]}], + "]"}]}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7992951544690027`*^9, 3.799295210246323*^9}, { + 3.7992954268105373`*^9, 3.79929542921747*^9}}, + CellLabel-> + "In[1249]:=",ExpressionUUID->"0caa96d3-26a4-4b90-9dd5-132b84d3bcff"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalY]2DScho", "=", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"#1", ",", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["#2", "2"], "-", "1"}], ")"}], + RowBox[{"7", "/", "4"}]], + RowBox[{"(", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], + "]"}], "[", + RowBox[{"\[Theta]c", "-", "#2"}], "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]2D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]2D", " ", "\[Delta]2D"}]]], " ", "B2D"}]}], + "]"}], "[", " ", + RowBox[{"\[Theta]c", "+", "#2"}], "]"}]}], ")"}]}], "/.", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c", "2"]]}], ")"}], "x"}]}], + "]"}]}]}], "/.", "s2D"}]}], "}"}], "&"}], "@@@", "func"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799295240237157*^9, 3.79929535080898*^9}, { + 3.799295392834118*^9, 3.799295397865663*^9}}, + CellLabel-> + "In[1250]:=",ExpressionUUID->"ba11040c-f390-4eac-baad-a494f12f7898"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"2783.267722721553`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1250, 812, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992954300777683`*^9}, + CellLabel-> + "During evaluation of \ +In[1250]:=",ExpressionUUID->"69bbbd2c-4308-4387-a3c0-54fd0275e292"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"1806.3479175306081`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1250, 813, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992954300968*^9}, + CellLabel-> + "During evaluation of \ +In[1250]:=",ExpressionUUID->"5bde3b5d-ce77-4d48-afec-601929d01097"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"1337.8596499337884`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1250, 814, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992954301081133`*^9}, + CellLabel-> + "During evaluation of \ +In[1250]:=",ExpressionUUID->"45f0fae8-4bdc-4a3c-b591-ab21c82d1ecb"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1250, 815, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799295430183057*^9}, + CellLabel-> + "During evaluation of \ +In[1250]:=",ExpressionUUID->"c824cd52-3104-4070-a4a3-d4122d493b9d"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"data2D2", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{ + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]2D"}], " ", "\[Delta]2D"}]]}], ",", + RowBox[{"#\[Chi]", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc2D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]2D"], "#T"}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{"\[ScriptCapitalY]2D1", ",", + RowBox[{"{", + RowBox[{"x", ",", "0.0001", ",", "1000"}], "}"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{"\[ScriptCapitalY]2DScho", ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, { + 3.799278272634544*^9, 3.799278289289773*^9}, {3.799282861259457*^9, + 3.7992828659783688`*^9}, {3.799295354672873*^9, 3.799295370024973*^9}}, + CellLabel-> + "In[1251]:=",ExpressionUUID->"70a2b2a9-8154-4972-a106-cc2749585214"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1251, 816, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.799295432255459*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"08dcb388-99a2-4c93-b4ce-f6979e221cc3"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\ +\", RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +\\\"Charting`Private`pvar$15436399\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \ +\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\ +\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \ +SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \ +RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\",\\\", RowBox[{RowBox[{\\\"-\\\", \ +FractionBox[RowBox[{SuperscriptBox[\\\"2\\\", RowBox[{\\\"11\\\", \\\"/\\\", \ +\\\"16\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \\\", RowBox[{\\\"Im\\\", \\\"[\ +\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]}]], \\\"]\\\"}], \ +\\\" \\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \ +\\\"+\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"]}], \ +SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \ +RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"0.8129023478488784`\\\"}], \ +\\\" \\\", RowBox[{\\\"Im\\\", \\\"[\\\", RowBox[{SuperscriptBox[\\\"\ +\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \\\" \\\", \ +\\\"Charting`Private`pvar$15436399\\\"}]], \\\" \\\", RowBox[{\\\"(\\\", \ +RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\ +\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\ +\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"-\\\", \ +RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"Power\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \ +\\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\ +\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\ +\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1251, 817, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.799295432344298*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"4b5c4395-7b69-4b28-b177-443250824799"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1251, 818, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.7992954325157213`*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"cf8cbf8f-ab6b-4cf8-96fc-a4cf76d20c4c"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"39925.95480196735`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1251, 819, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.799295432533449*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"2e0a71a1-1dc6-47ce-b483-6513909b70a3"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1251, 820, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.799295432556633*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"0f0f7aae-ce82-4661-bee1-5b2626fe8b61"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \ +RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{SuperscriptBox[\\\"2\\\", \ +RowBox[{\\\"11\\\", \\\"/\\\", \\\"16\\\"}]], \\\" \\\", \\\"\[Pi]\\\", \\\" \ +\\\", SuperscriptBox[RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"+\ +\\\", SqrtBox[\\\"2\\\"]}], \\\"]\\\"}], \\\"2\\\"], \\\" \\\", \ +RowBox[{\\\"Re\\\", \\\"[\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \ +RowBox[{\\\"-\\\", \\\"Charting`Private`pvar$15436399\\\"}]], \\\"]\\\"}]}], \ +SuperscriptBox[RowBox[{\\\"ArcSinh\\\", \\\"[\\\", \\\"1\\\", \\\"]\\\"}], \ +RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"\[LessEqual]\\\", \ +\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \ +\\\"0.8129023478488784`\\\"}], \\\" \\\", RowBox[{\\\"Re\\\", \\\"[\\\", \ +RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \\\ +\"3\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15436399\\\"}]], \\\" \\\", \ +RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\ +\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \ +\\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\ +\"-\\\", RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Power\\\", \\\ +\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\ +\"\[LessEqual]\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than \ +WorkingPrecision (\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1251, 821, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.799278280286346*^9, 3.7992782896007338`*^9}, 3.7992783509401093`*^9, + 3.7992783887367764`*^9, 3.7992785140624228`*^9, 3.799279638142889*^9, + 3.799280227830505*^9, 3.799280281184517*^9, 3.7992803253694077`*^9, + 3.799280360898765*^9, 3.799282828862026*^9, {3.7992828619600487`*^9, + 3.79928286628333*^9}, 3.79928353687708*^9, 3.7992953706491537`*^9, + 3.7992954007216167`*^9, 3.799295432571821*^9}, + CellLabel-> + "During evaluation of \ +In[1251]:=",ExpressionUUID->"1d2daaac-4a39-47bb-96c4-6a07697df78b"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.0055000000000000005`], AbsoluteThickness[1.6], + PointBox[CompressedData[" +1:eJwVl3c8Vf8fx81r3XP3dW3KiqzKTJxDGmYioeErFRUqDaNFqShFkVEJGWWU +rJDovJPISFZEieydjOz8zu+v8ziPc87nvM/5vF/v1/O1xu2U3VEeLi6uGW4u +rv8fNXgf5n569RlfP9I1n2xEBdsN02/vezeh+kt2AmPradBEtyrg+d2Oq/Rc ++VjhQ4W1sLGdFdyDb+O6Sz/QSAE/hkNlhtMMnucWM9unikBg4Y4D15zL0MB1 +x3sxIRoYuYgXP7/eiSqKkfrt39PgIrfVzlTKEH7gueLk/E0KvJZOSTkrM4ev +RI2+DzBFoMJfKppFysYtqzbs1TaiwdsLrut1Ho3jQfHfBSX/o4DXmntqPZF/ +8IZxue8cRQr0XEdHkqsX0deN1wXEphkgWcof49c+jPZvv7YlSIYOK+JsAc+I +FfSJU71qzzkmHHWyedzBO49GOCkmOsQxoPXL9a88R3+jlc/tZFSy6ZDT1FVI +N55FOR/Mn63fyIBr1gcPmtnzYa5Nd3UtU9kwbvtT222SB3t0ucPHPZ4F2SVH +kSt3ubFb9TNSJdUsyBPRbhyw7kPjtsvmK6ynQ4ufxuOHqlxYcbKsEbcEC0LO +BXtb+k+hHeb9o7+MGFD3IEvirYkIpnDn8sSVRA74hF271PZTCBM/RJIdiONA +Kl1nPM2dhh0wL9u37pwEjImbbDl2gor9O+8vkl8jDrak8X2qhfxYD+0r7s8n +CvR8WyUxMTrWxro6ydclASe2/GbfrqZj6ry3FXJJUqBqrvCZIi6AbfoiG3Ju +ryg8a+u5k5hKxipLD2VIl4pBMYm5cfkCA7td4PjZX0MKHEdkvYIFKNgjz6wB +aW1xWNtymz1zURALiZO866zBgSm1eU1JBw7G8b+S88RHDmx6a1U+YmxspU6i +ofaHDPQ4saxPqjGxuaqfvTfVpUE2afqF7hQb8z+xh/v6FVlwVvtee4ckhrEP +nrcdrJKDgn6xBrsIFjZ05LHi6lYZuGtCHUhPEcWOzlaJPW+QBa1zbRG9EhJY +nIOPe3rRGti1qHmzu5OJVQqTHj7MkAZRv+TbDnUS2KUcb28271o4ONhEXi0S +w+qeTWSaCq6B2tCJbT7HxbH4+0lL9Vpr4LFGnlfVZUksXebsgY79a0Gw4XOa +gaYU9n3dbH4X0e3rbaCu8xEfpOzcJta9QoYae4+35Sv80DTOaaxKI0PSEYua +L3MjuOUrsvfSCgJp3i1+pp9n8fd6Z/GYXAQSer21Rb9yAy3ip1V1ARm2ZboM +C0fN43bqcw16LyiQ9rVzdUGPFzjxzk7RRmSYHK5A42X+4ejR7AIHJQTCyjSO +vDSZxKlHVhuQcArYhxsHNTkt4U15bZSPLQj4UjxeBghM499TIl03TyBg8zF9 +acMZLui3detfcUGALCj/dYtXPx7sIqoc3UeBxpDUpyaZLXjeYrNCWR0V7mgz +xufROJQ63+y7PpQGG86JmmzXrUb54m8FNm+jAWVs1wGzvDa04KLz1/eXaLDU +ika0XBxDk2unZlPa6LD1VbKc0/suXCT6jUlZCwXKMzH1TUof8IHBffKTNVQw +lmv2yDvyC5U1GB1ZeUc8z7kfk8f7B6X8LPf+XkOHB7VulaaTA2hYx6sIAS06 +KNMjBn2rp1EZoQ8vM44xoJBhnSKqy4MJOilMP65jwY8v7A0bm7mwj/0TjjrX +WOAhM+LYKrGM2kxYLFElmMB7t13xSfc/NIQdrDttxILzgtJVIg4L6KHYbZU3 +NzDhmOLta4txvBgtIe7+YCQbnFxaJstdSNhm69jpmiOisPGpyOHn7wWwSPPi +A0KGHFjZk2XXtcSH/YorEV2REoW+/J2mYQpC2JHzCeKS5Rx4fy27xzTiL2q2 +6XT14jsGBO28d+FUiDD2naSnaGcrBgGk+EKpHApWvjbO78EXcWD/Z+ZzxIuO +UT3CftlXSkLLWGSO/YgIxjHicC2cEoP0snX6UyU0LEa636B0QgJaubhfBwnR +sKUH6cXi9hKQrVmzVt8awRKO1sjRNovDL3Oa484vDOwRe2BrykZpuGih/rZV +moGV7g9QW+cjBcX3yZKJvSzMYHH7msluGRjgE4wrCWJiiW4Wek0HpSHhQRub +Hs3G1t60kXRPlAX7Z/KNahtZ2LRB/7Vz3DKgYDU4d227KHbBY5ntTZWD++M8 +G2bnRLHCtwNrLM7JweVXTdei1Pjhxc5SpfZPZHiwkaqqf2kZ7zc2FNReocDz +iMS2GnceiNlSWB9qgcCucEcZQUkyVPlGXl/5Rwbn5/xZZwoX8Ic2BvsubEZA +XsYldv+UAPyyHrH/9IIMjj4dCQO83MBXqDWI6iKQfZWakl3NC6RgBcMpUQq8 +Cs3RlC8WhnVvb7WVjZEhKHjHWT7TVbzPq1tmIQ4BVVq9G+ogBNF8pj/L48nQ +vBrn4hdBgve5UYG9WxDoGvzloGadjr9h2aSSjGlQwaI7JhuP46W7uPV/LCDQ +ISdU3606g3d89YPc2wh4OzlVsPMHcZlj6/ewqVQQsL64FKzcgzu/XvfNikGF +6rBy00SFZnR0iU/ZMZwGKzHmGpJH/+DUH0odO5IpkJK/hCxLABr7Md/6zAka +2CoXRdwxqcMx/683xlVpwB7a8HZArx3Pqq8gJQjQwO90yc0cw5/o1XyTQisO +HSgLPloZk3/xsnTjXLMyhNDTwn+MZ1OofvbaS+2Ef721YyrEwm+06Z1KietW +BlR93YSemFtEe7al7fAKZMI3pQAeHp0RlGvVS/K0Dx18JOMNTmf0oc+nTN5I +/Uf4n6plfLvnLOqcv+fNwXAGZLtLcrmlcmMjtEA5ndcsOJLzJih5wzy6I1Ol +MdKcCdPavl2bylZQJQFR8VRFFrTI9929bMKFNUt2MGQPsWAZSeKonuDD8u/f +4ba+yQbXAKeubQK8mFbBe9Hhk2ywzUu2pnzmx1ozru8yChMFldl2fEpTAKMV +djxq+SIK66roAqWzQtjnCnvpeZoY1GGHkEQnEczgYtz1U55ikBYcFxj8lowh +d2XNznKJw2xtln1bpCAWVV2QF36cA6f3nWAek6FgY7/z/3ysFQfarSzZ2/J0 +7NKr6AuMFEkwctaytLxKxeoifndV7pMA33MPji+30LHxhmfJ5tpSkDoYMcA5 +Q8Pkfg2lcw1JwAG//46cvMnAxCWUPkiGS4FNw+1Au2Emxk1/ZzSiQfidxqnt +3XpMbDas5qx9nDRcyl/Xx02nwinaM7fmaDKE//A4Pm1Ag82p6EpvFQKTO1st +N1uSQe3gx8ST8ghYdFjonbkhBBtHFhqOeyAwt3k7RyYbgeLG4u+qWggkqdKZ +e4eEQeVkUy5djwIK8Xb2Hw/wQyt6edcXZQQuvghxvLtWEPraJDjcKgicK+Hc +ycBJIHmq+8qaHjJc+LcoJKbNDT//2PikVSDAqQisXozhgSXZgdpvXAjcHZOc +6F7ghYbEDWghHYFMG7eH7smr+M1iXmOtw8R6vgu6CT+W8fEwwRMqRH3LXf4P +KLvn8GvXyJYaWyggvfzSPfDjH7zFcKopIJECsWMGsd9EF/ETlOrk8GQEGq9K +We4Mm8EjnMVrcjZSAE0M0Dy5Oo5zzZgc/cxPBcHz9bOdZ4fwTUXeFIESCuRV +G8daD/XgXjxRGVu3UCH60od4vzcduISDS6EPiwYm0SvvX5h9wcX40cH6VCp8 +jpU8x1LPw/P2jrWuOUCDwavfjbI0S1BLVDJ3x1Ea4NfpExlDvWijxv6RCKLf +Lea0DlFSGtGNtsxd9j9ooJb52l3/3DAaI/HyDAXoILLraKp+yQ9UcxgyfzIJ +v3odqVmzOoFeumfZHzJDB8euG76+IrNoaOtrMyUmE9SDtra+2DaF1i/bctuu +ZQBlqi3PqHEOdc19ZdIpzwSFJ+BQf2AFDam2OnOExIJyv+2xpNhFtC7evfP0 +XSZo9CoftqRzYbfvGbhZ2bJA+emmxHkDPux4q4rL3zw2BIeoPtQ8x42ZNEYH +H6xlwTcnudpUN0Gsy2D2lb0PB/6xh51glYRNhLGDY2kcOFhzSITVxoNlPKVr +Z4ezYV/8Q7vOeH7siFNsQccZUbiQ+lxsdxgZW8+JblvZIg57Bn/e1plAsICl +gl3egeKQojnlcuujEGZ4qjo/boMYyL7LkZHYTcUKRl6lUcwlwEejOMZrnQjm +p3Rv1wIuBrOH5IVXnWmYa/DQljUkSbgovmnstAgdMxtsTJaKlYTVj9tKzo/Q +wXnwFn9oBgKaW6dMeQ3o8DraYnxkiQxNkpHjxi+oUGArEMATjsBQiY1ibykd +O1HerFV8SArGSVcP3A+hAdekPGOS4B+1l6R23wEy7E0fKs3URuDaSl3BPnMK +ZDpeNNXiReBg4NaF+8Ei8PRrs8PaN8R9d5vVs+WEIVgI2VTTQYZTeFtE/z4B +MDE1UlNYJMNCjKHn6hw/HEhJW2WWIEA6RZmtLhMEzUZFSk06AvsbC7Okovng +uHTqFXYjArqLXhN6G3kBu3IZfUfoRSpcv8z+Cze01BYuvitFQKPaafy0Fxek +vVuTNJiFwOHz2vvhPcGH5aTxBGK9X08VM0ND5nFyWHqiHIcC+I3JNg7zH17F +qa8dvYtAtPKD8N3WS/jvYMUMX3EK7Ox2MZ5fmsJL4m/qjBpQIUGYQ9XSncSP +lsxJRgdRoFlot0N99wheVOBMcUep8C3nZJGRQz+eLN/lrR5EBb7L/aonorrw +f/prR43dqfA90POYwZrHaEmM+FqeKBrEFXoYb77Ugn8bNvYyr6JCOLrfWb2m +HN/h2BJ9gtAT+URKetHFX6iaxHvr5Qg6bC+7g1t2t6HqFHSBC2jQ1xcafzCy +GuU5x3djuIvIjwWxijsEBlGbgZuDZiZ0MLdyPaVN/YMK17UplYszYN1ZKfeO +yDH0zkRla+M8HR7Kfbt213UBbQ65RV3vxYR/jfX2Ky3TqF8YVnDjEgNMjndO +OCgtoy7nN9uvEH5zaG4n4+Ojv+h6uZ3dAUsMmJ2wbJYZ+4ca77mX+yKYBdvr +/Vamv3Fh/CuK+9srWCC1Vb3obQIvJqBsEGWlKwr+1Z053wx5MP1rffWCfYQe +D+iWXT9CwoqnlvtNY0Th740jKknc/Jjh3D8//22iENc46mulKoRZuCElhz9z +IHz/8oxHlQBW6ieVoqPJgTMs+WGtu8JYwEb9sYuqYmA0OnOJPSmC8QTKhtqq +iAPLNVO38zUFa+8q367rLAFCf26fWbBDsDWDhzzfPBYHv8bTLa5kGhYaeLRk +pFkCZPVz7ys+ZsBjGuWHhi0CnUtoVv4wHUrtb+aI1yPQzhP60USfDnvwTH1t +Qge/S/iE4qyY4Flnte8CwVu5ZxUzvtykwfqqKP/5x2Qgx173fZtJhetjX97d +tCeD8fH3Ma07KCDLitV1DUBAz2937VQfGdLX+gYkoAgMOt2JpFwTAYuTSXnP +NhL8luGgriorDON33GL5ifOOoDeCZqWCgBb6tK8l9Lblrbb5IWcBoKl2l+Qt +k4GS33r7tRYveKqkbmr0QmDFr3BfXBQfrHkdGx7oTfhP30jYpb/8sH7L6b2a +jmQANd9bDZ+5Idp0ffbdp2TIWqk6Mn6CC+bkc9fRohBIPr+mn077h3d7Huvs +fomAorlWjLnFEn7rg23v47cUcPnJsHjzbhavPRz3sc6ZAsIF+wKuXp/Hg/g2 +7JsdRiDLKfXo5PwULmLH33BeiwLqavmi6zZN4pG5khSrAArUX1sfrbmrH5/L +r/t2PJLgu9hjDvTTLfiJ2CuqOceowO9+IqyqYwT/+sruFHKcAp8n4uMMQ7rw +mmfp/wncp4JmX6uBd89j1FWPEdlrRAN54Vc1DzKr0UDm19OHj9NA6Y2D4Vhu +Od5z3yrGRo8GSRLYf8fH2tCMb56eK/U0eFarMFl19RcKS05uXqZ0oP/5dGwv +Mog+Vt43OfeaDv7LaRuG4sZQ0Q0vf9MIvSTKW7cZMv6gE/VUicWjDGiz+rGD +79s0aiv3WEngJAO0JW3jog8voMhtGa6Lj5igheNK637/Q20+OFeG3GVBUPSv +/Lonf9GJ2I9fWgh/qvk0jbuoLKN75pWTy/hY8OtMsSyWxItFdLpZrDEWhS3O +r8T9OrgwTnLaf/GDLMj2ueIoz8uPPYqX2Mv2EgXR+IGw/UY82IvCqx/G5lhQ +POjdLuBOwsR7EmLn+kThILdfV8N6IcwDcZOVr+DAOgHka0G4MDa+u0Fr9oAY +bPJVexj3RwTzPrv21+FfYnBfNc1y7JMAJiqtHbrZjwPIm8Mil/cgGGZMuu3U +KQ7qzS+snvmz4NwlLqOGKTK42Dp/3VTFBK5Xds7kbjJIsoYm3rOZUCV6Kurc +dUI/dYIRC7to8KGvbKPxDTJwJLWEbI8wwLnCelx5gsjfYZ/HOvPooDPtI3XH +CoGKwyP/PLnp8DeiNdhnPTG/b/0QX9+BgEyietObQDLUtacVbPcjQ/DfxKzU +TQjkP39qRzWiwryuAb3eE4G9uUL3XFkiYJpmupy8leC40esNl3OFgO6kxbUz +E4EHLEPmQxtB0NKw/nTxDxmMDlbSxhX5YMu3+tq9qggoa4iNCX3ggZPHnH14 +JxEI61ViNIXyQxWedyHnOwIB6aSeglES7O65mWV0gagrsyH12uIqvslR2XeN +PQI2o90Biq7cMPr6YO95ZwQc0XynqZOL+IBE2IOvEhTgYS+FlGiv4IekS52v +6VMg9Y3ZOZWMOVxGMUwi4jMCSnftFQ/1zuD+V37puMlTYCnKoSVeegrPdv3Q +1b+G8Cszr7ynryZw84MfU04uUcAXma26ENeLt4+fyUVGqLBj6fkej+wi3H2u +4UCIOQ2cDCKGqQrDePn6yq2/SqiQxO5zL+NpxCuEj7BczhN5x1XNqUP8B644 +H1adMEWF3/sWI1nZBSg6siEuOJ8GHsxPaVmmDajRG7+Jok4aoC602E/O39Gm +LLKf+BwNbm4+yvLV70Vzy4pbE5LoUNbmdyZm1wR65vP421prBljfcL7PXzGE +ur4Rl2h/RIcQbZO0qPE/6D1/DXlJRwY0etjnKgbMofRt7povHJig5yIr9tt4 +EWXLWiWWHWSCYcmrWwfyZ9AX1VdcPJsZsLFNTehKzSqa76pn1pxB5CPTY3Hy +O7kxadNAc5sGFhgWSduNInzYOnTffZ9mNmw00WggZfFgfHpT9y/8YkPg7ncK +r/lW0Ee7bDyzJVjQ3aDkVNBMwv5I3uefEOAAe3FPxZfT/JjMkZhejQ5ReNFa +ah2nK4j1DpxykpEk9BHKvO66LIwlfWS9WNcmBkXbftAvPRTCjDxqdGKI674T +k5VbiHVN0xbbl2uJfOHeWuFUxID/uLJ+/JBEQP853ePcHjosjnVLYAT/nJnV +/1VzjAm0jTbzHnlkCH35WmHNZTaImlC3VtMQkDWebh3gZ0CY0XbU/gDRz6pu +L7MJDg14SRUwfkcGMeOJarleKihdyumWuYWAdrbzVZ4UGtQ+2R/6k4zAyaSY +oLMlImCua2C3MxiBndVWH8IdhUH5JzxPriXD1fCiI1sIjhFPStwirYCAiLsk +tlcagVM+VeO/+QieOigWmTkjCBcfdi6JyiCAxemXV90XgJon/O0zOwl996jE +r9bywZ6q2Ac7CL6aon8jMhkJYnV6KkUwBHiSplQkj/PC5FlFLO4foW+hCzx6 +JB7gOOu0WUsQPIdSZ+xSuCBybG9OPo5AeXprcWfQP9zvitHneEKviPyxFtbb +JfwwJejlhVwE2KTRPdMpk7hCdeX1kjEK3Pvre8Nqdh4fDt2OnXiOwNEVf+1Q +zb94clN3IK5CgZowZ4PS49P40bkaxcc/KWDRbRi6u3QUj0FA6GgHBdI6i8/q +pHXjm8GY1rOHCjTeg2MftAbwD96s0bv5FPBLLXLYsakV33fVQyFdiQYd0glF +tvqVuH3tQyYviQblguaingLauGF+9L0zbTQIyGM0aiR1o74H7fs779Dh2Jct +6cYqragAw7aXLEyHYb4Nefj6AbR+QHgmi7iu4sOvrqtQido/VkH0EoicGmN4 +27ZoFC3pcGwI/UIH1tCjiuqpefSGzthOs2QmNNneUfF5Oomu7EXjksIZ4PFP +c/dmj2lU28JVudGQAZ9nlop41f+iFhImCZKGTPhP8mXD/iv/0At/XDxlbVhw +k4ecPMvHgzX4SEckBbOh2lsoI7J4CY3aVlQeJ8QC121bWR0evNjQkhVeWcOG +S3ek5OjJXNgX0sTUHxk2zK3JepKsTsLG0wVYl4dEged+zaGb9wSwy8fPVPBE +cWC9FDv9XQ0fVhnixcG/suFHM3fLiWlBzFsxq/lSLwee8UpuPnxYFG7Y30m0 +7CXmsdneH1e42OBrd3rxYw0CbUFV5ZO5bDj1tTGI/heB46WGHY+eMOHi790K +/i4I3LNM+EveRXDmlFnp/YfEvF/xvVS4mQG/Py0KMok8bceHx5jdokPXCwcZ +Vz0E/pN+v8OV2LeZi9zVtplkWH/+wIUmYp+2XaP1VRJ5weiB09i6MQZc7zns +IbdA8I/Voay5mwi0svJf630j9MIYONExTAGfUbEwsdsI3DjPmWAokKF0gHGo +rB2BS2a845YuQuC9NWjX5zgEPIV6SzXeC8Pwua/lRj5E3nqXPOq+JADTfhpV +m4j1xCNmKoPjSGDzIu9x/n0EuAvN1N828ULBT9ppUQcEQi6uqEjvWcXjSCML +H+wQQK3K9iTq8EPkq+cyXUT9CVy6AtNkbrhnbXx8ikXw1i7y9z3hy3jqhsQK +mSkEzo62y7Sd4oHtMidWPhD/L8IlKHNpywwumyD5x5mo16xvIryCZw4XruR2 +9TlPgS4Hyu17nxZw85vTmou+FEjcmS++we8PXkElLbXuoEJceK/M9rZBfFfx +2Qz1UCrwFoTEtriN49KHr1sIuRH8FUzaW2DZg7dQivb7G9BAmLfBcsuPJjQ2 +p3NouYkGX08r5JkHteN1cvbxl9k0iLSI/rfhXibe3KuY6rmHBruGdNy2N9Xh +2Y78PR8uUWH19ZMd51k4+jP0MWvbaxq8mhx/3kgbQVfzB1x1qQwYe06muEx3 +onmH3TLKNIk81E/rQm/0oelJcp7uxL7bx7u7LUVNoU9uRBfK/8eADkuducPx +v9HAnIrLQsYE10fwn3rvPIu2txesPie4fRf7nP1t2Xn01rk/leQLTAiElBHx +rBXUKsajeEWEBf3lnIv2/YvoLUOn1muEPuQf+g87PObGtr6dxtpvsMF8r4mf +jz4Xlr36Ftzl2TBxyuLy5n88WMub0e6pPjaUnO8+I3OID9PRWLs6qSYKCR3+ +0V82cICs/hYbFKTAx75VXZ4KfszJaph7WpYDicp6GQNKAliHj5CzhRUH7kgW +6I3Ws+G6Z23fl2QEQtcu7w6QZoNTzrhjCsEb9Y6KMgeDCA6sM1dpPIuAa9RD +HQEvFpg0K6GbBRHQ8SzcEV3ChIgHdsm6xPy2aWlpWyvEhFGl4ckUYv5afJea +yiF8uE1txpmH4JW1ViVfjZ/RIXQqzdvnEaGvGZmUuhlCL6/GypLLETgv35w6 +CgisS/qWvGU/kb+7G+45b6XB7wmuiTKifx8tSrk1yFOBun+sOvgNwUdeLslo +nBDU2QQfymslg9fUuxSFJWHoqzsnpauEwORhrr6oU/xQ/G3jbqYeBYSMci4f +0BGElcoZ+zsfEdhXlHBWwIUMTvs+N+ZdIvS06C/i30QCWQFzzxbifW4Po7++ +IvOBoHVDtxfhD/meJZaD27nBUkVmh5EaBYYyg3eSPq3i4zc6FC0sKHA3+09Z +bQYPcA+dPmgVT3wv5r58fssiLuzL5ab0mAJluTfmTHhW8NpPF39fCaXAyZI5 +zkvfORyzwzSn5xHYs71pId1iApcJNKXINlPgl47hG8nRP3hT/IGNvqkUuJKq +GtKTM4M/f8W8XQsUUJ7kKgjZ1Is75971vnqECmmH5weGdn3H7UMLltfGUGF8 +86wWBx/Cb6bm1BqlUOGP/mrdySe96DGDBUaDLx1qxHJma/UbcJGu+IukeSqc +0dd0iiM3otbzjZQ3qzQwtalx7PhahLYORJ1hc+jwW+BbxNObBbgrqc6lI5kG +0g+2S3GrDKP7MtVU36YTfrLfTLBE/gfqz//3LSOIDiNBP4ejCiZQgzPS768r +M6BsUzg3TW4KvZeU3J79gAGn3yz3f+ufQVvrityUBZhQYCtydYPeCtqNmanx +rTKB5JGEJGfNofvLp1WpO5jw9Ija5WM+i+jVkT3cAnlMqK1SKN1WwYM9fdSv +5V3JhmOtAUcXl1fRDfpM7mOtLMgJuDiF3ObH9mw639vYKAqtumZBKsp82CYT +38+Oa0Vh9X145aFD3NiFSN6ghp1s+B8MdQLq + "]]}, { + {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]}, {}}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV1Xk0FPoXAHCRPVuZfTEzoo0eWh5F1mpCWVosgzT1hDRe2SqltNgiHrIU +GVTID5N6nkQuyZqlJ/FKKU+JlCWPrP3u/PE93/M5555777nn+z2Xzfd3/E1S +QkIiBY/4rodC0f1jHBB8H003dFKCpRYesMaHA7zqwRaxzZ+qdmR7ccDrK3NR +7MpnQaN/HOJAy33bw0bo+82m6086ceBbdbHeFnTGy85CA0sOqHt3dW9Fn/g8 +d/cBlQPet2RcTdHFPsVl68hYz/9astgjw571uQQO3A/zbBfb6+uzj0mqHJB+ +MbDdDO02Eb8yUIYDQ8WnNpujd8xr5mycYIP/LxxtSzRd1TbzzyY2nJA3sdiJ +5hSU6UzXs8HlUXKs2Kss2JWGdWw4XODYLbZB4NTrx0/YoHJOSsBFc3uE5NoH +bCi8xBXuQgcI/0tqy2RDM6OPbItu1suKGTzBBuMxTw8HdEeTPHWNPxtOWwvL +xO7iBxb4+mG8lIuKI/p98q7Gr15s0NQzqhV76sd36UkeGwRD9br7xP3VcMMl +drDBvriY7oQ+7TARQqGy4SCkeriL4xPlkqNJbHDu5YPYgS+Zohl1NpRHFnI8 +0AInm8//qLBh/fLyz2Lz3W8735BmQ09T+xlPtLXPASPaOAvcyVf/OiyeT3jF +LL2RBQHhn1N90em1HcS4ZyzYr1iscAxNXDposFDLgthRmTCxVSNXHHtbxYLf +K4O8/NDScX5vMh+wQLjXbZsA/S2NWcnMYoHpkh8KJ9HVoovnWMEsoKlN0M+g +26q5IZkBLIi3XxSK/a5N+QT1BAuW1oi0QtGLIzeOqPuxwPmMov5ZtPGaBzZy +fBaYC0rswtDl2f9SxnazwLLxeNFFtCjRqqxaC+P93o9dRUO2gshYkwUN0W5X +Y9Htoo6CRywW+C+/qR0n7q/NLfMBjQVjhocPXkPrKAZdzlNjwcdPW14noB1l +be4w5zRAZv3Af9fRVkPL3lXd04DORcvnQvT3zfIvrO9oQHAQLyEbnXNZuq47 +SwPs88P256CXsBYLxpM1YN3s1/5c9JMDo0Fa5zXgd0hTyEMb1b1QiturAYnf +vK8VoddnpZi4zTNhVbTo5GP025FEvaEpJuQVrOVVomO3xGsGjzNhl26/VRX6 +S1ekfMInJsSuVKVXo/OXne562sEEmaep/9SK388Z3vF1d5hgMN+b2Iwm7Wdl +zu5mwpGNMwpv0GXfAwoGuExImlu5rBe9L7HhzzZLJnQfSFN+i05sF7TlGDEh +286N1IdeZl3101qLCZI+kYb/oiVMXfk35xlgwu6v+IIeXp28yriQAbWOb1oW +0FENgxu07zJgKcdmZlH8v7y2mqlmM2Cgd8tqCWclOJLb7zyQwgDniuwYSfQ7 +hn5M7EUGeDKfHpJFdy5vG+l1YUDewjKeGrpyXrb0nBwDuqtlorTRX5pbqmYl +GRB4QEJ2NZqaHt8UskAHmSSFqDXokE2kDycm6GDj5ZaggzYQaKt69dKhdt2O +CgN0fp+VYI+IDvrKz4JM0ddrw9dqONNhT/l7oSu6LmH75gxHOuTfrT3qhp7w +kLeg7KZDHJ+s74G2n0twWWFBh5pWnZZD6GUbhVGyOnTwsHRh+KAv3nnyafQn +DdI624xPoQVRczmQR4NTC1nhaejacaavUw4NQs2lk2+giTwL/W8ZNFiUMirI +QFfpRlfTEmkwYkTrFYrzdxJ7g8/S4PXPTUcK0AUMA4KuAw1Sug2WPEYPlHpH +ps9SQXn6Zcx7tCE9do/ef1Q4e/P5Yj869koJoWGUCkPlxOCP6A3OU7mTA1TQ +c38oGBb3u3AJ7NqpcOd6ctQkmsXNmpG+TYVm72m+vIsS8N52HTu5mwpK4Yov +N6FvpdrbenGpQI/xiTZEv3do0XG1pII7Y4PFVrRXPXw1N6ICX5v6xAx9sqTQ +X02LCrlt9/ts0DHh4QGieQoUzQ218tEVWrqh3wop0D9TGZyEXujL4/XfpYAm +d29OCtrsBsf4VTYFBinDL9LR9crkhapUCrw8pWsiRP89LXk+7hIFNr9LtypC +Dzf1XNThUUBuezKtEU0VXI7xVaDAo8o6lSWuSvDVyd93fCkFzhPkiNJoMHe1 +PvWTDCMXWtny6KMEPYWISTJ8KZ7fpYZ+WPkmOvsdGRov1Lxlo3crbojuKSWD +t5KIYoW+kP8hcgePDIwfJbQ49N7E50db95NBLur6hz/Q2mf/2rnPngw9pZLF +KehWuzhZ/nYy7ItIdRWiqdOGked+IcPrqDyph+J62xMiHkqR4XSOX2YverB/ +2xXO/0iwhR1hsIGnBPcY4WEyeSS4uUc51BDt5/w0ZDibBIG5+5pN0GOtO31L +U0ngS992joueLbe3s7hEgu/UkE0eaOV4PoXvSoJJZePpGPTmrRFF2XIkUOFu +kxhG/whqvHtFigQjxZIGY+jHIgWhzyIRvB8VHZtCm2nHJ+pPEsFspG9K0g33 +iVpaSE0fESKmOo7T0R6DBeYfyohw5dD4J3t0RFJrF+s3IqzhWDkAWuDjH8P0 +JMKvbrf9G9D7TdVM6TwiXBMOpbShV37Zl09yIMLa63YSb9E1Fr1nlE2IcI5b +azqLnh8f1phXJwJzp1HoZnfcx/Zyvt11BDh+S/XXMrSr9j1mVzUB1usmRj1B +W8zbdP5dQQDFgOCBerRqfrxxm4gADk03Hneji38SVZ5lEECYVf15Bj1crPWw +NJAANqNEazMPJfBUslyMW0mAsDnb6C50z/L9pUwNzLdVQHiPtiMf9SqhEMA2 +/VXJMHqb5tW2DmUCNGQ0qUgcVAKGUeetFTPqUFXvHLYOfUHmTb7xK3VoDy2S +D0D/H5MWXwU= + "]], LineBox[CompressedData[" +1:eJwV1Hk0VP8bB/Bp7Mu9M2Pmm8yUYlSWUklpUXNDIkuRsiWVJBRS+CZ72cqe +lLJ8SaJEZCvLfYTQItmi0GKsLTSEUH6f3x/33PM6595zPp/neT+PwnF3c0cq +hULpRc//31/SVs2WvGRBayNXMdIeA4vKS0FZ3iwIz67YqncUg1c11zU3nWVB +avVUyX5k3YZ7w/WuLHD0Y+raIWu0vtw/dJQFklnGcd7IjGGmgqoRC7Yd5P3O +RW5mZtUULGcBl31TjnUMgz2uddSKRibkey7bOYWcX7O2JaeWCfGGmJjwcQxY +S26kJlUzYfE5m88M5C91zls8i5mQEuvwYi1ygDzNTeU/JgwFJXmcRC59a919 +w4cJv6uEFT4gK20ZKzi/igm+nMHHrQ4YXI2x8j+uwAQDj+vtX5AF/Jq9+5cy +IZmMlphAhvjEATUZJjx0qX7EPIGB7detnP4/MrArcHTqIHJC2uUwsw4ZkBpS +vtCHTBFh26lfloFbH0sYlJMYTF+ZUCkIkIEX90+EspB/0F9PrbsgA/UpoywV +5J6lQXEb3GQgkM+IMEd+ojlYq2klAz+sBM+ykT1PFKluXyMDwQM1eRZOGPTX +7p3Z086AcGMX54ZTGLw3VKpvbGbAXnf7rI/IrW/+xBs2MSAnYgdlBhk+PFIz +qmbADO7IUXHGIGVisb1pDgM40rv4UcgW3P56Cz8GuDuPDNm4YPA85OK1Y0oM +aFPctEjmNKrvnWLOvDwDnK55rlFH/lv3/U6SHAOEL67034u8Wexo8UucAXb1 +BbGXkLOv6nVs+k0HN08ImEYOS8RkJZvpIMEUPBo8g/qbnX6ryIcOudt72vrd +MTjR0KVo4kmHZglfhogHBkHDjAdDp+lQZKJycRVyuerliqXH6SB1IaPNGVm5 +4FRPmDEdjr4zThcgi5dvkLdVoAP1qUKHtCcGcdfCdcWSaBDqn3HS8Tw6j09O +2NRVGkhNfZ+MRK6ybWoaCKaBod+uR/nIo1yp/XVnaDAV2pk/g7y7OOZw8G4a +UCcev43xwmC2/brX3CQOB74O9NV6o/Muzro3dgAHceGCXPMLGPjO1o32GeIw +kXhT3x85vm9gbTMPh8HSF7I5yNXZq4vz1HCQ8qJa/UWW03oAzkI4iDy+c+ih +L8q/ZVF3fxEGn9+UXP7HD4MtySDVxUDfXT5wjh6IgXtPjcl3UQz48Ykm+sjZ +y2tjqfPS0C653t0PmZVdz1w7KA0XcvmRI8jjRS84IU+lYTL22OqGIAxyX7Wr +rXGQBjznr0VcCAZsyohRULEUXFZsUrILw8BMdzT6eq4U5MVys1KQI8K+vrmf +JgULTUo+PchT0j8OdERIwaPtdXJ24ShfchO2qnbofxN1u+MRGFzZ+Me1XUQK +JnqEtf2vYDB3khGlbCkJ7MFKt+kYDOjGNZQZY0lo/6yzfUcsBqs2nPVq0JEE +jX2idpeQzedajpxUl4TA6rYMehwGObFxG7JEJKGo7NL2dfEon+W0d8uLJUDf +y1Xc/xraBxK4oixDAoC+cdjuJgZ1P6qSBkUlQNRIe2UBcnfbGanSeXGQi6qt +oyRjIJz2etJiWBzSAhlr7yLbakQ3JJDi4M9ULRDcQvmxlT6Du4lDvEh933+p +GBzPkywXeSkGv2qfrTO5g8HN8Vtqc6QYyLyKuvIYuVlTLX28WAyYKcUu7CwM +tlUZhX1IEwNW5IOqEWSZ5iiLQk8xcHHYCTHZGDwbw38eZovBxcfeLwS5GChu +ZKoWO4vCNqHqB6sLMbDyuZOae0QUfF+z5tORYyo2MtIPiELRcNTQEpSLWV2L +mcgdotByqilB+jGqv8X15/YMUVCTmzadK8YgxFvWQeqJCAhpFghPl6P98IST +clxcBOyFttecrkH30XQNu/pHGJwjq62mkb/kP/UoFggDszshNeTZ/+fberdo +rzD8fWeocbsWOfrGj9xCYSj+25vaXo9yeYy566eNMPgKnVrn/AKDjxJSg4EP +hWDp3vfj8u0YHLls05KTKQSWFt01gNz3N/fp2xtC8MvJ3cahA3nCIJYbIgQm +uz4M3O9E7g3b0nBICPZNbwrQ7cagt5B6FacIwasnCRdv92HwwXp2Xao5FdRX +B4l8H0H19Z4xDjKgArF1pjtlFPUjYcrZYScVVA/EeZl8Rfl4KbijokqF1PU6 +IoXfUH+0v8qWLqKCU2dZSvAYqv/ynoXmR4vA4JnyEcNfaB4Gqt5QaIvA0Xfn +h38XoTmmVn7rF14EQgZdirpUHE7KP5VomKUAnVVmhKM5VbQs1Y0epEBeVL7e +PWEcUhrzy+SqKfBiPO5rvxgOcQ/S0zXOUKDv4OE3ETgO379QPzYmLZBjBsry +4UtxGO0mF38IWiBfpwR1hSzDYbjFz/S7ywIZHKZYFSiPA796qorBWyAl22Yk +/Ffg8P7WaIrN0F8yopzeFqqEQ6N5q803rb9k8+6j6m/X4JD5LKOT1j1Pir5r +vmK5E4f/nhzBFWvnyacHGXxftHfSHnH0NR/Ok7pduTHpBA7JaddLrILnSeW2 +bz3fdNB5fSMTM1Tmye5u0+Abe3Dw1zhrvtF3jjz2r564uhkOVplE8yHOLBk7 +3bnS2REHZq+Na6/oLNlEvdOWeRKHZlkv8ROC32RiUu3LXiccdKNzdc42/SYd +++zTLV1wUP9Xpuyqz2/y4On7Aht3tOdM+enQNkMG8ilExgUcin6Hn1WNmiaP +7tfeoRmLwxnNTLzQZ5rcfH+9TXIcDsrulQ+0HKbJC6eXDSzEo/vwxwf0tk2T +a/e5Gr5NxCHyjbWN/fAU+Wuw1DX0Fg5H76rpJupNkb2Go4s1s3HAzN6w/s5P +kvODI8zH1TgcnnFK/zo8SZrcFltPAA730ymq3e2TpF2MzpvmGhz2/NjAK86b +JBNyz90er8Mh+Gqis8vhSdIHQiL1X+Lwq966urNiguRLVhVpd+HQu43vVOAr +IBm24z+tJ3BY88VPkHJSQE61TV6T+4WDb+Q//lfMBWRH0LGe91M4yHbpJziq +Ckib6Y8njs/iYOaVW8l5/5M0XH/qXOgiGtQXuDEitv4kHQV6AUvpNLA1FHjV +jI+R5ioiIknqNPBl3Q3TrB8jA681mpWtp8HNj5Y37iWPkfio6ZP3GjTo9Koq +j9YZI9Wbt/et1qLB/syIOevEH+T6uLzsDzwa6M/JBwu0vpOrfhc53zejwfqH +RlHcwFEyZ/tpxx/eNBBl3M0MxQZIralNGocbaZDuIBPwmc8nHWjJVZ9e0GBL +aaD1jko+OXJI3dnpNQ1cbG3ov1z45PlwxsqLrTRovksLONHYT7bfCzeu7KHB +9W2+1rqXvpDMyRs7s3/SwKAxbQVV8JG8vV++KxanwyW3ibmZxg4yOEp4q/sO +OpRLv8395NFBTq8o9Wbz6PDjfr5l45IOsjHjrmwDQQerIefHN061k2z+sVAl +PTqsOfrJZbN4G6lC5y4f30uHTrPX3ef2tJCLLDThhRUdzFxM3Xuv1pNnm0Ar +3osOw0tCzJ9Hu/EsbXhxfo/pUOlVKidyLoTnw5f87FtChx2Or9Ju6kTzAu4+ +u+NbRocVin7tHz2SeWZ/dgcFVNAhgWLhLhRxj6fkeCvtRi0dXo6R2tevlfIc +09pLaO10cBry4h6Re84ThBnuk5uiw6b+liSdng5e1eyqS+k7GRAV0qMQIjTA +K/MGz7kOBjDP/ZTlC8Z4xj+V++vjZSBUp6hAgvWL5yDkH5x3iAmJ2S0TA6xZ +3h1hvbNvVVlwxpdseBaywBs4v62lQOkfCCpQV6w1pBL1Usld1vKLIb/bUfmu +uAgxPN1YXqgtC1uiJkNmb4oRDP1whWyLJWCcV7LWc6kkYWSaFDTjIQe7he1X +uHRKE9FH6Pwz+Wy4xbd36jhGI9zaKj9c6+WAa4DSxU8MBtETUmL8R20ZmO4q +cnE6LUNMNu67PPGvPNg3ugrnFDCJpUUV8pVFy+G4q9wzZfwfIlUuZnPz5RVw +rVWg4nBwMTEp/0Xx1UoFiPQYeKKeJEtEad6uMKhTAE/VV2e2CZYQ0nbPRZo8 +FCEyp+/lwmY24VKbmKgowwUdhaqpXG02oa7WXD7B4sJ88m0FCx028d+Iy5c6 +WS54XLXyyTFhEyYlhbudlnHByq1V0ewEmyhKeGiUp8yF1ZrPL2TGswkZfb19 +Wjwu1JMPV+/+xiZa3g6JmJ3mQsCWKPOxn2xirt2oSdGdC1sKXfyTp9nEc62d +8ZNnuZCXubrtO5VDvHpQon7ThwuJoRkBSXIcwnRid/rHEC44GF3vGNLnEO23 +n5q5J3Nhad05SoIxh2CEa9nuSuFCp7a5mrY5hyiM459ipnNhrzotOM6OQ0R6 +l8eVZXFBgxG5Zut5DjF06gGD8ogL3yKdLPsvcIjWMWnt1iIuZFP1Q6IDOUQM +4emSVcIF9iS16/MVDrEjVaPNoIIL7ac/U6PiOMTDkRCMU82FmAFy7eYkDtEZ +VGP0HbhgcCTN6tNtDuHMGokma7mw6J3fpSsZHELIbrIt/jkX/gdxr8ue + "]]}, + Annotation[#, + "Charting`Private`Tag$15436400#1"]& ], {}}, {{}, {}}, {{}, {}}}, {}}, \ +{{}, {{{}, {}, + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJwU13c8V98fB3B79rn3YzRooJJ2UmjfUiQjovqWthHKXiEjooRkFRXKKkTJ +yPY+9t5kRfbee/c7v796PB+fjz73nnPe7/friGgaq+kwMTAwrONnYPj/v337 +76q23uVH+iFO/VL3aOiNf9ndgG4+ZH38u9PZ+zR0bzB6ysmSD7lEurIpPKAh +3g4ybx0vH7q669UTdU0aOrtJfst/KbzI3mtz/W0tGqp6wm80q8WL8r3fb3mo +TUMvRqT5KzfwouN1RarGOjQU22xmzFTFg2rnF0ysH9LQM1lx278ePMhX7aS9 +ky4NyWt/2linxIPqul9auuvRkEm4qY02Dw+S06Zp+OnTUN4o+f5gMx1Z+Q/u +DXpEQz4am4X+hNNRPdO//ojHNDT7i0F5pykdFR0J9okzoKH3j2c/FZ+lI/+z +KWK/DGnIQspp2ZeXjj756MZkG9HQD11t06hyEgkM5AoUGdPQAzZ5psInJBpe +abesMqGhqLe5RZK7SMQnW57daEpDBVrtB1IaCYQsI2b+mtHQWs7DFLongeoM +nmwcMKeho/4Rq8R5AvnV3BGbsKCh55nlrc9XaKjZQ3PngiUN1ao+zZJNpaEb +Fz8RDE9oqD/ThfOQFQ25ye/sY7emoTPLzeFbpWiouoXjG2lDQ+E6N5yn5teh +MKMHdzba0lA6krrik7EOmVueWN32lIYSmfR2djxbh0biYtx32dHQBsnqI0UX +16EOnxLWg/Z4P8defxanr0PrNMKNJB1oSCJ/5BxHCzeaTVEuOOVIQ2UbG6xP +RnKjg+xtnBee4e9r5HKkmXKjL+6apxSdaKjYzmzWhOJG9x9O3lZzpqGbTWHa +VwludFw16PHN5zT0jqb4/Fo7FwpqtNS770JDHVxthro/uNA+R291XVcaCnmy +Y7ODExf6Nr623+gFDZkL6l3yusqF6k3qZixe0pByW4Dh691cKFRc+NtTNxpy +sRWNMF3lREIB8yrOr2jo4ymL8MN1nMit/XG3mzteD9GgH/nRnMiF7Y3OGw98 +XuTvvdnuxIn0aea/33rS0HnygPP5m5xImNgrFfQaP4/qemlhCU6U01vgEuZF +Q0ZPvPN/cnMidY0buVFv8P7PsoZO9nKgYYnpse/eeP8sVj42Iw4UJRbFlexD +Q3IsXY1aQRwIlbutz/ClIZGZ2/nu1hwoBH0hc/xo6AvfRoFL1ziQ/iO+xUJ/ +GmrzmK9+L8GBdsh31JS/paGgY0jUms6BssK3fah9h/dfitXz7xg7Eq77e6Up +gIbMmi1/lFWwo2MbJRfbAmnouL2x8bE4diTmesi7+z0NLcXXtYq8ZkcSZzs2 +DH6goZ0HN0u4GLKjP0o3Xo99pKGeV59bbl1mR0/Coqang2hILG7rw8hD7Gjj +rq5Li8E0dMz7P487POzII2q991oIDTHdnNnpNM2GbJbUC5k/43q9bn2I9psN +/S2NG+EIxd/3eVi0lsqGZnOPMBNhNORNOoupB7Gh11ZznHzhNPRk/YGv7M/Y +kJIZG+OmCBqqEOtJFdBmQ6E7LAa2RNKQrG3twAt5NlQ7q4JEvuD9+W3fqnSA +DY1SMW67vtKQ/hU3JX1eNqSo6nduXxSugwVXWss8K5JV3zx8KJqG1IR7WYLb +WNFjVzXXozE0pFHVvz8+jxUJTcnTj3+jodMn43x5YlgRbxjheTqWhhjmL10D +b1Z0LSJx4VwcDSm1jUakPGFFtQ0Xr8t9pyHftg25C3dZ0U+B1giFH/j93atW +nsmxInMZ+57L8TT0s34h8fJBVjS86cx69Z/4PDOGXL2/gRX9pg5I/5fw//VS +u5m0xoIGHmoo3EqkIdPsgEuX+lnQtt0Nl+8l0ZDzD+W0rdUs6BtD3AWtZBoq +PbBbXjyNBb03mtyn+4uGPCYOhDqGsaD1HT9ZHqfQkIH5aVsuTxaUnLhaaYT7 +wLJXoF+VJQsSkupxN0ujIXd2q5SKeyyoNNrimFU6Pm9lgWnMCizo5NnsRpsM +3H9ejliZHGVB1qLVevaZNDR6XqyBV4gFnTBOG36Whest2jh3kJMFVYq9uu+S +TUNhSeySMzPMiEPpctFLwPXxeXnv4Q5mJF+9UdgD0VBEQn30pzJmZOw788gr +B9f7T5XsMynMaPzR9FefXBqaX9hgRwtnRiPbdjT659HQ3p+Oq1xvmJG2vu9C +QD4NUacVtKSeMqNDDKrrPhbg77/QqffSZUZGTx/xhhTSUJposj3fVWYUYD7B +FVqE+zdPi0/eWWZ0xmhiNryYhibrVuVDDjAjste67ksJDdnv+NwRJsiMkFxg +eHQp7oMRDz9WszMjh/nbD2PLaOhA9RjaNcuEFmQbNv8op6HM+tDgiC4mdNCe +zP9ZgdfzobvzpWom1N0icC+pkoaGr+4v4M9mQn2vmEZ/VdGQa9kdYI3Fn39v +NEyrxv1WcXvV5g9MSOPB186MGho6vP7l9etuTMg01lE+u5aGrm51ykiyYkKh +L43CUB3uH1fKdaV0mNCHcafx3Hrc12XLi1vUmVBnftGhggY877YYqYTKMCHF +DmWtot+4P/hwm7w6zITM+Le7lzTi/VNSCfMVZkIuQmoRZU00pL5P8EEmyYTE +s4Z/VjTTUGuQ/l62f4yI/nYloaoFz4V1lKPxGCNSv+T7taYVn3cxt+75NkYU ++Dj9Td0fGjrBz9EeUsGIyl84P25ow/Xrcm5BK4sRya5fONHYTkN3gx9ky8Ux +oq7Xu9ea/tKQ9Zd9IBfMiBiuiiS3dNBQgmGvh9ZrRpQO4/f+dNLQKdsLqUH2 +jMhFNHStrYuGYtpvtUwaMiKnUhmfv900FBjr7q55lxEV93Vu7OzBz7PzsdbY +ZUbE/NXDt6uXhg7dzWV8SzGi3KPKjD19NHQhzITlujgjOhJxRLu3H9enlOa6 +wyKMqJpVKaNvAD9v8bNMUV5GJHI7nG1gkIb7WmTaEWZGdD5ETm5wiIZGbrjH +aMwwoI8ZMrZDw7hf/8uW/tDLgJQ/RIQNj9DQvg0fuKd+MyAJwgZGRnH9DR6o +fVDMgCwHyqtHx2ho3d1TxwfTGJDzUOzvsXEaemy+b+LlN/z9atGa8Qm83weX +vp4OZkAvZS+giUl8Hqol+bjeMOB+wx8xOYXry2m8d+QZA66vCLupaRpqOZ3Q +0GvGgCIV/12anqGhK7w272e0GdA8KbFuZpaGpiBycNN/DEhb+lLezBzuf/7z +jmqXGJCVxBXj2XkaGgh03hh6kgGJ6l+nzy3QkCLDVwOWgwwo7ITOl7lF3D+7 +OU7bCTOgD4uvDs8v0VCXtNtFDj4G1DZV/XN+Ga8303GlKFYGJKstJ7aAcwVX +WMqm1Il/sOAy57Owive3JdZf7vc/iHIanVxYoyFtk5t+yxn/4I2D9MXFf/j9 +4qaDf4f+A8K/w2eRgUDSy7VU48t/0F43U7PISKAfE5psq4b/wOX8M/YlJgJ9 +ztjgdPHqP7Dt8JJYYiYQ/9Ltc79O/IOeoP3qSywESmjya5EX+QcWD3X0l1gJ +tOX1auca+z8YFJS1XGIjUL508ljj2Bpk+zdaLbETyO1f+Pu6hjXY/Hm30RIH +gY57W9lPZq5BPPOFW0ucBNKs8pU6HLEGubaSZ5a4CHRklqbl67EGW9M5Ni5x +E+h8R1gYv/kaZOmX9C6uI5BkSNS7FI01OLv3ecwijUC1GpxdtjJrMBlwTmeR +IJCU6fE9d/euQe8p+oZFkkCmpQd5H/CuQVToUuYCnUCvdW9ceL60Ch7n12ks +8BDoq/w7vfyuVUh6pzo6z0sgAd3De3aWrYIaW53VPB+BoqbqDoclrkL5Qsjc +HD+BSn47HToTtAr2+WAwt55Ar677VM+7rEJL1tnm2Q0EKusOz680XIXQAwdO +zW4k0CfpT5m511fhjrr325lNBLps/+VRHbUK+XqWvdMCBLqbx+fMsGcVUFD/ +vmlBAo3amaZc4l0FsY1TelObCXTgigX6vrwCKXOfgia3EIhvYUb9UO8KPFFb +KZzYSiD3k0N7yipXwFSad2B8G4H+ndFadkpdgY7YkX9jQgR6UunkrB62An0/ +3hFjwgSyq7OwpTxX4Kr0Zv5REQJtZzf/JGu1AscOudJHthPo+Zfk7zr3V2C3 +w1/m4R0EErtj/vCTwgpcYJAcG9xJoFmq1XXq6Aoc8vSuGhAlEBMDveKu0Aps +Hlv52r+LQL+37ljt5lwB32GXJ31iBKpSoDc5zSyDrMyRM727CbR5JFX42N9l +CPzKu9K9h0BcUX8/sJUuQ1bJgZ9dewlUKLyTezRpGeqV39zp3EegB7/WpIY/ +LcOD2nOMHfsJVG6V2cPgsQwmoypB7QcI1LvpaesBq2VwOph/sO0ggSTWiXab +PlgGtc3Rqa2HCHTip2F+udIyJB7lPNEiTqDxjxXyZ44tg8XkWELTYQI97nY4 +UbhjGbpztHc0SuDn+WyjrU0uwxxh6dFwhEBnH5v4blpeguDje4frjhIob67c +u6tvCfYGecnUShJod1rs/tzaJXjnFutTLUUg9aS2IynZS1B+yaupUppACjKt +FjkxS+C748zGimME6lksze54twTb1AqVy44TKDfWppP/+RLkch22KzlBIMNH +N+LuGC+BtK1bWNFJApX620yn38Iu/o0KThGomtfLdb/8Elzn29WYd5pAOa5d +kglHl8DN4llvzhkCnfG53agosgQnV8aHgSLQ4H7r04u0JfBJchjKOovrTUD2 +VPrSIuR9lurMOEegW5e0o7z6F4GeKVKdJkOgGw9Z/7OqXwSxlUspKfhes6DV +s9U0ZxHaL6e9S75AIOatF+scvi9C6Qcbo0RZAlmvLil/+rgIW5H/mZ9yeD2T +1HRq3RYhLJCf/cdFAg0z7JzcaLUIynNMxbHy+PftC0qMtRZhPkLfKeYSge6Y +rytuVl2EY/pqR6IUcH+oVCi4dgZ/n7GoLVKRQEOsyh+79y3Ch501z8KVCDS5 ++cbO5wKL0PHcdkuoMoFkgsVOHmVfhGsl5fEhl/F5g+H0uZkFEAqsOR2kQqAX +5hcdS7sW4Ohr37z3qgSae3FZ+0f1AsSdEZAJuEIgo/bncpHZC2B3yjjNX41A +bWGNTLGxC6BHhuzxVcf77RpplfdhAf6d+OH75iqBBIlEx2G3Bcg7ETvjeY1A +Xf0HVnY8WYAbriEq7tcJtOlcTKmBzgKwv3oT/vI/3B9FRUoL1Beg64fbhMsN +At2bH2s+KLMAvrf9pJxvEsi2pab5q/gCXB9OtXTUwO+/dyBaXGgBziUwfbe7 +he+VnD/2ltAWIJ7R9q/NbXweuhhOm67MQ8H23VxP7uDzvcCXu3t4Hm7f3HDQ +4i7uFyw2H8eb5yG7S1nR9B7enyqBbwXF8/BttvGB0X0CebdL18WkzMOG/CzT +xw8IZM/3eC7kyzzssOZ4qqeJ+53B5/nQt/OwTjrHXkeLQBtTNqUnusyDjdCk +jaY2rvdLuiL15vPwXCHU+J4OgfbUmfAwa81Db2nL3dsPcX8UemR0Vm0e7sZ9 +uXhTF7/P0O8tnufm4ewibe91PQIp/XBj7BOfB8YfAmzq+gQK9ApmvCw8D0ml +ta0qj/B67nNkyifnIfCszDelx7gfvOocvPhvDrgYTS0uGRAogzU3uHlsDhpm +dKXlDAkUe+Yhi037HPxgEJ+RMcLnnf0Wy67KOdjOVBtDGePnfWTu0pE1By01 +12+dMiHQVEjR46i4ObghU8R63JRAJ/mTQu2D58BReH+MpBmBgkyaaPdfz8HE +ES95CXMCcUduCFSxnwP2M3MdBy0IZLnms1vJcA54lw3M91ni+jj4/eu1O3Pg +IbL8T8yKQPg7a4+V5+CgZvSLnU8IxPHdn//N6Tnw13vGLmKNf8/pfn32gTnY +1OLmvNWGQLIWlbuWt85Bxn9l8wK2BIrZ+WT2PDEHBU9VdTc8JZCvwcG979dm +Yecf4RpeOwIlvWb6sTQ2CwUcspKkPYFWDU8a6f2dBeRR4MftQKDK0ptqXVWz +0DEUM8LuiJ/HcIOcHpqFnshViuUZPp9mD44uxc/CAenC1wxOBLr5/AFHYOgs +cPHTfq9gl4mYx53znQWh2JZNi84E2tclRs47z0LAI+nrs88JFF0gK5BqPgv2 +Sfu8Jl3webIrTHHRnoW1QUCjrvj/T/39+/a1WTj9cGV08AV+vucNmmflZmG9 +4+D6vpd4Pr1Vlz8kPQscrm+OdbkRqCCK12LP7ll4njd3rf0VziMNLHUHBWaB +wUnMqMWdQJHzimoU1yw0r+1x+u1BIB/u4381lmdAzIbtTa0n3n93RV2nkRkQ +EisIqHxNIIY28aaEthlwO2H0sdSLQKyZeULjlTNwpZPzQ+Eb3J8+cu+XQjOw +7vxnv1xvApkLnhp++XMGOp2Pu2X74H5inqTYEzYDAtD2JN0Xv9/Q2klF/xmo +pL/V/OVHIIfz1TGZrjPQ5akrn+BPoKbj7C+PPZmBrTJ39nx/SyC2xW+QrTcD +HicdWGPeEWi97/h5FY0ZGHKo/RMZQKCXz/YxDynOwPA6zR+hgQTq2Nk54nV6 +Bho7j9oHv8fzViZt4vShGRibUZN7/4FANLfna3PCMzB7LJ/r7UcCtfNKsaXz +zoD7R+9S7yACKc6OzL9gmYEoVuTqGYznb9pg3p25aWi5pXHKLYRAjfO+GmcG +pqHCXnfs+ScCTTSax+5umQYtufGPjp/x+4edjNlSPg29HosXnobiz9WzLghm +T4O6sNegVRg+v3vHDUTip8G8OumVWTiB5I8P8UmETUO5tqWoUQSBVpYG9yr5 +T4NdaGOmfiTOB+OK4cYvpgFku1V0vuB+dPCNUZD1NBxb97n9/le8/svqDrWP +pkH723r921H/7ze38nnuTMNoveL4f9F4Pf+9kNBQmYYjUgqm6jEEMjvWlP7t +3DQIWm8av/wN54GzJipsR6eh8Ey2nkIsni+v3nTp75oGhb3n22XjcH2ZvX34 +e9M0zDR8Vzn3Ha/vn38VitzTsNzEkXXqB4Eaeh5xl65OgU7hjV3H4nG/t/Pm +uTIxBZz7v3gc+UmgIl75uo6uKVDyXxg5mEAg6uyL8zYNUzDs8p/C3kT8+ya3 +rwkWTwGzY2m4aBLu354Ly3npU+D678aicDLuT+ERe63ipiDNkUtxyy8ChYYV +1ot/noIZ877AjSl4fxf/jk77TsFVpZku3lTcX5Rf64PrFLBantxDpBHo9v4X +J/2sp+DI9bzHnOk4D+cG/Wf8eApm1fxiWDLw/H2W9VP97hSolyX0/sM2bh87 +ffYKtuCercuZ+Pm5r0wcvTAFFwNWVeey8PpGbM06LD0FTG+lnSazCWSj+zVQ +au8UFGq2x40AziPTN5+c3zoFJxQXf/cjAlk8S1O+QZ8C2ts3K105OD/7aNIt +madA9nnUtvZcnL+yOJPez02CzlXF0815BHqq+fRA4eAk/JVxvFGfj/OQzkfT +pT+TYOGqaFJVgPPlmLalVPUkMKmkuJQW4vXZN3TANm8SCitK3hYUEaiT56p3 +wa9JsNnvHo6Kcf1u6PLZFDMJIz7/4jJKcD3ND4qZB08Ci8jh5F+lOM86NF5s +8J4E6QXRtJ9lOO+c3t9/xmUS2iV602LL8fc1HJd/PJmE4n7LlK8VBBK/Ym+7 ++/EknNj792dYJa6/9P6bUXcnQZFzd3RwFc7n+EUPqU1Cr/d/wYHVBEo1NOHJ +lp2E48UWXn41BHI2s2lQPz4Jyokv7LxqCWTSn1czsX8SNqj5676qw/027MmK +vzD++88RKi71+LzLVSue5Z+E2YDso44NBNrGvfXXFPskSO4f3GD7m0ADvuhw +7PIEPL+8b86iEeeV7+LJBuMTwDfiUWvcRCDOQ3NSR7sn4OoYT+yjZnw/iIuN +Y2qcgAMn8511WnA/uc9EbyqdgOKk6Ov3W3Ge6k+5mpQ9AdePl4jd+oPz66bP +ZgEJE8ASsWfuWhuBLtZ9uu/0ZQKSy2pyVNtx3qqPW2/2YQKWnhe7K/7F96ln +tW76XhMQHMR/Ra4Dz/NUsZ+6zhPA35XJf66TQPNxTa4GVhPAuLW44WQXgVxS +RdaePJqAl7yn/aW6cX2KqPK4352ACy7bVQ/34PO3lvMrTG0CJMUdOff3EsiJ +o683R24CUPVNtKsP9xPdk+/6T+D33ZpmIdJPIBbfK8B3aAJsisN3bRkgULJQ +8Q25HRMw5yz8e8MggYTDLms4bpyAgQXJ5zxD+O+tIjKyufH364YOrBvG8zws +0IKFYQLOp8r+ZhvB/VqHb+nzwDgcvqRsxziKzxNr2XvZmnE4KsohvIItf1kt +dS5tHB722+XMjRFIwyFHNilsHEAs4f7kOIH6Ii5LOHiMQ7rt99XhCQIdU1I2 +umoxDpam1oF9kwTadfbgkNSdcXB8v+Fw5xT+vVOO70TlxkHf/k1R6zTuJ5+H +tIQPjYNaxOCt3zMEUpWUPi+2aRwGfPaNVc/i89h+UfQE4zjYFN5yKJsj0H9X +Ni/fGBqDs/BsXeE8zt9/ypKf143BxrnPgWgB95dtb+TSM8fgaWfu9oxFfP/L +SQ5ZiRwDmBmJSV4iUIrktx8Kb8YAfRI9HL+M3/fp7KMI6zEIUDFPjlkh0Ejr +0VxOzTHwM/wjHblKoOWIHV9tFfHv3ddN/bRGIKvZt9zzR8cg2l1Q+sM/fD+1 +sul02DYGqUorif4MJJLZ0SDIyzEGCsx8h94wkugSc0l0/OQoLLDrRL1iItGT +ldfPNFpHQerngpALM4m2eFn6kAWjcF6t/q0DC4nq/AYrq76Pgs3JNU4bVhJx +bDLY9zFwFL6l2dmZs5GojB7w3tR5FDo2XB81ZCeR144t69QNRmHnB+/behwk ++vo035K6PgqbX0qUanKS6IWbSYnU2VGQ3SYjdYeLRFTRxqVje0fhbnDB5/+4 +SRT3unhJln8UjlF5nGrrSPSy+Wv2nbUR4Dl5zlSJRqLXGyePPRsYgUcFso1y +BIm+DM/ejqsdgVWy8eQ5kkRRrNu29WaOAO+l5ZCTdBJNDfYZi30dgW1BqQxS +PNiZ3bIWPiPQfHj9A3FeEjXwZ/mVPR0Bz0Mb0V4+EmUXiCsfeDgC0yn5W0X5 +SbSSwvPwveoIGAztsBVaT6KeLxdryZMjMNJ9okFgA4kGWKtcvUVHYEs2eYh/ +I4nGC1MtNtNHwOdN1EtiE4kui+71i18aBncD7r8cAiS6/uJ2g0rvMNTrnJFk +FiSRm0zwocWqYQh+ddF9FfvTU+V3senDINq9v31+M4lODXau6kcOQ5ntjPjU +FhLtSunSOOw9DJuuRziPbCXR0/+GQ5meDsPrJzJ1fdtI9J9STFGbzjBo/K3f +3ilEIkfuTpSrOgxX3B+Ytgrj9arWcv55chgemY1lN4iQSFhfgDFm1zC8fOPE +Xb2dRDs2Lx+O5RmG/gbh/0p3kCjamJ8rdWUIbKRrQ/N34v3me+5Q0T8EyuEf +h7NFSXQlwsplpHYIfrA+P5q2i0Qj/uI867OHgEneyy5RjER7GFkEL0YPwbYr +eXlxu0l03Omav7P/EOxl3c0VtYdE1cRHyyLHIdCWzVUJ20uixd+3Etc/HgLX +iQD/oH34PG0SP294fQiOdn1verefRK7LSLDy3BAMTa/b4nOAROlGxYeOHRgC +wZWUux4H8Xnn4LH+tmkILCqTP7seIpF8neWgGMsQGJ5a1+UoTqKm0102ceOD +oM+fs932MImERq4InWodBOntLZoWEiRa51tdVVc4CPKH7oQZHSFRd6uNk0XC +IOxkUu3UO0qinbI2e7eFDELO3VQhLUm8HvOcOdWvBsGSLejOHSl83r9anfS0 +HASVVIaP/0mTKNlawFv1wSDcER9pvHKMRLktt5K3Kg8C525tfqXjJGLS+RU6 +fWwQqq8bqcqdIFFiZrxi7c5BmDahe549SaJjFp3RafRB+G+3atGJUyT63j+a +EL0yANr7jzBJniZR6Tb3O2EDA0DshVOHzuD9TrD+HF4/AClli1Z7KFwPse5m +cWgA1qcNxO84S6IP2p9KIXYAXgX4DG09h59XP+JTS+AADHIu7dgkQyJWrbcD +qy4D8DRe7A7veRJ9HHoatMd0AMT2CL9bdwHXv4Nxwp07A6BCDlayyZKo6vpb +kQ+XBqB4+SU7oxyJtl8T7myXHAABV6azy9hcbaoD+7YPwD3qrvXsRRLdRBYH +nYgB4Mr8HD8uTyKNnf0x7Uv9IOleNTB4iUSFt+jXLvT3Q6nUhHCPAomgRWdn +Ql0/iClx3GxXJNFz/kf03agfuq5s9WlSIlG9Riz9S2w/DFccLalVxuetpnjL +/vf9sOH8VcaKyySyVNDbn+7aD48knI4XqZBIUeKstKpZP7AK5pjmqJLI2JBX +cuxuP0hbCcRkXCHRNoW4rf6K/eCL3nQlq5HogM7wwLlj/WBqsmdzvDqJil4k +es3v7IeqpWH1mKskSgtcYEvm6Qfb2j+eEddIJP4y7ZLtWh/81GUsDLlOojO7 +GVUuDveBye57/wL/I5Hajj5iS1MfFDxbPuZ3g0R6f92dFvL7YKq51ez1Tdx/ +dLd++vOzD/g+ssa91CDRbdXGe8UhfXBpj0O/0y0SicasZmR49MHmfoXtdrdJ +RPR2fPtl3Qf5R03vWN0h0bWUP2JpOn3w1WQu0OQuifYSN3bnqfWBzdzf+kf3 +SOQ7mx9ZT/VBm9ARHp37JPJ3+hw4ur8Pjl6YVb73gES2CWaLNME+qEnd53FT +k0RbjSuRJHsfhFe3FqtrkYjUvNKvPdMLKn+42C9rk0hsIFznY2cv2O3NlpXX +IdGNNeujzZW94Mu+7CLzkESh+72UtmX2QnVWYf4pXRLdMv325VF0L/T472KV +1iORplj4yex3vbC9TkjusD6JQlavsAi49MJyRsrLfY9IxN4asmhr2gtt3tMl +oo/x+pfY8vfc7QVtn6Z1wgYkihnqUL6q1AuFS49VBQ1JdOju75Cy471A50j0 +5zci0ZFDjxgUxHpBbSqhmTAm0eSF5MdV/L1gMmEixGlCIrpSS/Mtpl44KD2l +w2xKorPRrBfGx3tAdPFk3Cq2213D8FdtPUDqqs/Om+F6ZrwyubesB27+OH1m +yhzX19fFXXWpPaC59u/liAWJwivSTjt/6QHk8Km2z5JEkiqjB4/594DNDZFt +nVZ4/qkuTs849cDQT/dHrU9wPR9UepFqjH/vR0dKgzWJfuvd+et8pwfMzHaz +VduQaDUgbkFdsQf6N+teK7Ul0enbhWX7jveAVUloZP5T/PwyJ9S4xHrgQUDb +XLYdifwgwnWcvwcCPgldSrPH9SAUc6+VqQfmFg2CEh1IlK8z31wx0Q3NmaUT +cY4kqlWXGSts74ZdK6flop6RSEn+0rvC8m4YLCkLCnMikYl0XVl5ejcIStnM +BDnjfuv3w605qhsWLysqBzzH80P+V+HIu274Lnzxq48LibTCixzZXLvhfLIp +k6criVwulMftMu+GDeur7754gfsvf7KC8oNuUJfTzXz2kkQ8kk9VbVW64b7y +qc1P3fB57RdKizvdDYn7rz61fIXr/3WsQ/++bojrSfxj7E4iWR+Jj2KC3bBq +fp965EGi8ptlHEYc3SDaeDdc25NEuscCc9LnuoCVM4nj3mvcH+/lAq23C54w +6Rjf9CIR72/b1Yd1XXAl3apR/Q2JAu4tWRTmdEGp6NjZy94kMrNxEt4f3wXr +jlV/k/fB/5/8jaWAkC4w6hLZdN4Xr6dn5Qrn6y6Q5h9wPe2H+5nHye3OT7vg +VIbYrLQ/idh41rQZHnXB7rxeHYm3JGrWsAOXG11QvF6saf87Em1g3bmfvNgF +qh8nFMUCSMTM8Sjyk2QXTB6/mCMSSKLBr6WiUjuxGw4d2/KeRA80S77W8nYB +Te1H/IYPJFIemBC1ZOyCJa/SvTwfcf4g6z5sneiEz49ffOEOIpFTEQdjeXsn +bC7o38EWjPs3q4T6s4pO+GM1HcYQQqI7ebMeJzI7wUbj+45lbJ4xxi9LMZ3g +dXHrl9lPuH9d5Q5C7ztBjV9278RnEnFGVuh5unVCs//e+KFQvD+3udnvPumE +zI+10r1huB9kvjaVfNgJBovncv6G43maujOc91onHLW3V2qJwPlp7su72fOd +wDzzqrk+EufNzEm5dolOuLPHQK/qC84vfwe+l4t0wsb+3YslX0kkV2hVguid +wDGb75EfhfOAmqdP+r8O8BKQFYZonEebhJnSxzrggsD3X2kxOB9slNgAbR0w ++ItFJekbiRT25ReXlHdAcKLy4PdY/PyunfwtGR1QU/naNToOn6fGD7PjMR1w +u7BkR8R3EulsZn/I/aED9l5nyw/5gb9vff7B/lcd4H1M/uH7eBI1HjfvUrPu +gCe7/Ln8f+L8VwM9DrodkPF7LN4rgUQ/0A2t+OsdkLl2++arRBLl+Jnf7Jft +AD61bmaXJBJl1inm7pDsAIbnL+IdkrEZdrzX2dkBuecU79n8IpGR29nmWL4O +2HJaim6RgvNQ0qT9IlMHyG1XyjNKxft5g481oOcv+AT5WOun4f5ZkJsvm/cX +/lzjFtdOx+u34cfhf6F/IWAua/BuBok2S4bK5D37C0dEv0fezCQR90PDMZ97 +fyHpRYfW1Sx8Xs9O73t85i/YZd/cqZKN55/v1qnLW/+CidG2/ktAooybXdKn +V9qhWupI7AWE+2W8zIxkazssJAeZUzn496IVth1Pb4eLr+6dPpGLn+86T5zc ++3bYoPSMUzIP54mY1IC71u1wIJC56VA+zlP3DRue/dcO3GxjUXsLcD9eeHgn +Tqod55cLdqKFJHoY3L+rZ3076H/mUhMuwnlS4NQe0dk2SJ+V3bu5mEQXUjJu +mdS3gXf2EsuGEhLxnStOLkhsg+ceB7ropSSqGKs4KOrXBvrDXTncZSSSOns+ +28usDdYbCEWwleM8wx19i0mtDS6/73djrMD3jSvua46H2yB4lTJZwU6TsQth +52mDNpEDGvOVeP5s3Hbk/cQfyHmdKDdVRSLVTQJJR6v/wMaiRsnRahIZOgsL +tPz4A5JqIWIDNSSKNZy8+erNHziXwL2luxbnjVo1IxnjPxClt5OvvY5EFo/X +X2ZV+QNKsyPrmutJ1BfGN1lz8A80/tbnrG/A+cL7sEoU8Qcuun/iqPqN+233 +7ftuY60g7OHLVdqI82e15xazylZwVL9IFjTh/WXOfarzvRU2387dgJpx3vZl +s9L0aoXdWzhEMlrwes4bMusbtcIxzq0Hf7XiedLPv8Xmciv8CWA98/MPiaS1 +RVJ9D7ZC24lC1dg2fP8JzK1KJlohQkvr4dd2nB/rxW91jbUAj3OnQ9hfPM9N +4tQ2VbUAK6vsh+AOErnXOn//70cLWN30TQ3sxPPuOovu5zctsGW4otmvi0R3 +j3lZTBm3gMPOlVWvbnx/8XetUlZtgWdGIqLuPfj+efOGSYJ4CziLy6i49uI8 +I2qvIszTAsPVmnbP+nCevGauEzDZDHeSXsY+7cf9oyc3ZmNtM5w6k/zXagDn +E/2VjaEJzaBfPb7ebBDnueXUyCN+zZBWdlLFcAjfDyQ+KFWZN4P6m2APvWG8 +X4IKrBZXm4HRRqBMawTX54anxSKSzWDdm0i7N4r73WC/V9P6Zqg+ZKquMUai +4HfqVwLnmqD557Wga+M47+u94njQ2AQ9eToDqhN4HpTcjpNIbYLzWZHSSpMk +OnEl+hjtfROkTgu4X5zCvxerFj5h0wTBGYV/ZaZJNPf6Qt8fjSbYpxd/7MwM +/v+izZZqTjbBMcVW/+OzuP9+bWqq2tIEXMmKM0fn8PwmbG1/rzYC4yzrf+Lz +uJ9d0GzqbW+ErhtE1r4F3B+eRgyvQiOcPqC/S2yRRGFxt+K2hTaCdJag3/Yl +/HwOMRvknRthVE2MedsyiUTkM4RttRphRsrPSmCFRJuYUH7ShUbwi9cc5V/F +9SwxtTwvij9n/aBLXyNR56gvnGdvhP6np3u5/+G/LxjiCBz4DWMxuxOZGeiI +LfVSzUzJb9gwbGDphN15iJ1X49tvGAgxPP4P++KsU36R52840bf/nx0jHeVv +Fe46bfQbznbEFi5hFzOraGeq/Ibob+NvrJno6M+55xfOH/4NDx/Oa8xhX4w8 +ZlfL+xuKDxSKWTDT0cONUyyPZhogYNvduUlsh6/Hmzh/N8Dc1ZxCYxY68jL7 +PP4zpQFujUwGjmJ3hGRf0HzfAOH/Jg0es9LRiuyRGsGnDbAnOk9mEFvoWYRX +6+0GeMWkL6jLRkfyCmAVcaYBinb2TPdgP7aUfm4p3ABmu6WrNNnpiEoqirvM +1ADXRbVjO7BPORyeONRTD98kDD3uctDRN67TFwQK63E+vGrwB9v8fFo4V1Q9 +RDZtVtHgpKO/BU85WNzroTmo4EgTdmzNfQNWg3qwKFYXvM5FR2LHFEuIy/VQ +Z1zMVI99RnOngLB4Pbz/Ijp6hZuOLp39c+04L/7c0bC5CvvnUX0bjZk6ECDC +ipTX0dHx7cX2z3/XgZxWQUoZdpTKyu2k1DpI9G6OvkSjI2Vdkmf0Qx1s+doR +XIRt9pDH/4B9HWT++uMnS9CRRvCmDst7dXCoqsojD1s38tx4wbk6ePwvw/Uc +SUeVij8ytu6sg7Vr4U6APf/enbJnw3/f8dLxNJ2O2vKZLHsGamEs9rFjBnbI +JuXr6mW1YFmk6nSch462cES2lcTVgump464p2AM8Sqzy3rXwbKOYhyQvfh94 +VVRhVgvftLb4JWLz+H/bdutaLfju2xx8mI+O9hGsrBPStSBkIxr9A/t96LiF +p2AtfL52OuUAPx0VfSjVE1+tgU2l2kXfsBfFl1ta/9ZAVntw8571dLTHaKTA +K7cGLn8cGv2KvbiH3Hkpsgb+sSmz7NpARyyrzeNcbjXgsbtoSwT22QslO+of +1QAT2y3p7RvpiIPvXnqEcg0MR3Bd/Yw9tX3HdzvxGnjM1WS2bRMdNTeHLd7i +q4G5EwV+Qdi5p0wDZOaqwfpE/S9BATrSbNvlLN5cDVbr2P8EYl8aeJAkmlkN +hYn3mDcK0tE7zsLd2z9VQ7VEx/632PJGK82iztVw08P9Bt9mOmJKTcwV16mG +iuz7L3ywRdc+tcnIV0N3hfYvcgsdDWXZit7eh50aOPAa+0w101s7oho+OK5t +WbcV70/HgrJ8dxUcEQlUd8euUNOMjYyuggdBup4c2+jo6bu/J3hMqsBg3Kjo +Bfa7rk3j7lJVMLExnoVViI62d6Js3tVKEOE7cOE5dsQ3/09ReZXwoa3flVGY +jpy+3Hqp5F4JoeZdJY7YYkH9j9dUKwFVb6OvYW/04j+fvbESNk+E3LAToaO6 +qGImz/YK0CrXDl/CviU381k3sgJy7plNWG+nI7LBh++KQQXkh5dQ89hLjZGq +8kcq4I2PgY/lDjpan3DmsvJSOZ7Xd3qnsc9WWjDdzymHUqXgk2Y7cb1aPNJ6 +5lYOE5yH/Cewu+IVdb+rlIOfKv+4kSjez4eXWYY2lIPqRhWlUez0PQniR9rL +QOtq57fHu+ioVQ51vYrEXi2nDWE3+ZXRxwzKIIqd30xPDNe/m/jPe0fLYEQ3 +takP22b3tfT25VJQ5808p7Mb11tz1PbHeaVQsSQc142d/iyig8WjFHz4BwU1 +99CRp07p0De1UnigtsGjA3sb7Yv0fcFSQF9iVu/upaOgG+VZIl0lYMYcZdaG +7XWr1XwiugT6b9KHbu3D+3PPVrXctATYPvZqtWAvZt1USD5eAtdT9nTc2E9H +h+ckbnxjLIHWkPa7jdgK74tNvpcUA8s5to5rB3D/3dLnnu1TDIyvw7TqsbWX +7wW33iwGQ9PkQbWDdNQbxPeJdXsx3Pxz1qwG++ve/henhoogIENuVeUQHYmk +lig+SyiC6yvF7pXYUtyJPdW2RfDQo0RQWZyOJBLC5Q+eLwL6NYW4Mux9dRFG +gdxFoCCrLKNwmI5+yRcrk/WFYHuxvrkYu8t5d5tvUCF4y3WaX5Sgo6rHA3w7 +dApB4oAVvRD70bMjg3CgEPR7/X9cOEJHpt9OX9WfK4DOG9SVPOxcufNKQlAA +RSZPZs8dpSNvplfFnS8LYGQ9FYSwaYO3ULxqAUSIB8pSkni+/Mezz1OgAPKi +XCazsHXr2BgsuvLhjw7b51NSuP4OhknpfcuHrstCVzKwx25eKdSzyAcjhRqW +E9J0NPrA/Yvl6XxIO7MtIxX7qUlZpRdbPpjzcFhIH6MjgdQPUklVeTDy1fvQ +L+xrxi8aegPzYK4vbfTocXweknaG79DMA5FE1++J2IdD+QIM9+XB44lZU4kT +uD8eXIzKm8kFTed1x35iL+x6Xi2anQuXlcoYxE/SEaOoLqv/y1wYFj9a/h17 +n78mRVzJhee8lz4cOEVHKk4nrPwFc2F7HffjWGxDlBG6qycHTl51OLPvNK5n +SE/Lj8uBBasw/hjs5358v4ye5MD8ZtvR3WfwvP0d7bXzXA582sFe8hX7WZre +yT6uHABDxa+7KDrqGZFJSqxHUN4s7xaJnegpMekZgmBQjtFg51k8nw8eHzLV +Q5DiZ6UWjt1XeC9AUwKBdUjMye3n6IiuZtiZtQDAIftJLBR7qTfmT4UnQLf2 +9Q3CMrifCP2izwoDbG6tYf+EDQ9bDY8kZ8MFF76VrefpiOG+ZY/bpWwoP7V1 +Ogh7/7FR7dm2LLDpmBjZfIGOSm6k/7U2y4JCBe/BD9jXH2jK8rFnQcX11QEB +Wdx/mW1e5H/MhKt/jw8HYg/s/OznKZ4JwdkXJzbK0RF35Ms7jwsywL1y98I7 +bOrMaP19jQwoHGhn2nARz7/QoCGD8XTQ73tMf4utcN/4zRuXdDj0uUaYX56O +drxTSioWSAffMZ6jftjz4nsUNv1IA7/ogwq8l+joQCa7jMOFNKiM2qPlg710 +ccFzqTkVnPJYHOkKdDSiuGnLa+NU+FSdE/wG26vCt0OSNRXCvmgCoUhHSYKf +y2Y+pED45sHu19g30lwrS8RT4AXrf9w0Jbw+r961JBX+goDj3yU9sWvdJDqT +b/+CNs8JTW5lOgrLKKwrn0oG3nohP3ds+UsV4YtuyWDVfbqQ8zLe//MVMqeE +koHhjdKKG3ZmhkaYf3IS7ItRluRQwXnPekMSk1ISyHOcN32JnSjyXf9FVyKI +2R2MZ1OlI9sDf5KEbBLhUBPPlCt22Evdl5VkIkSOjUmxXqEj9ZEddb5fEuCU +T5GDC3aHx+Qrg9MJcMsnuIRZjY589mYF36r/CTRktvE59uU6R4b7j3+CwJi8 +HpM6zot8VIQN009oGBbJdMJWqVj3NOp9PBx49Y+X8SqeJ0zsT0bE42H4bbfB +M2wdWjy/h/cPUO2sKvmHPRlncFkXvsOlE4V7HK/R0XBOsaPhWBx4GBd7rmG3 +vX7wOnhrHCipNE3ZX6ejY/wjt+aVYuHl1/lbq9juOpLVtnbfIEN2d7Hdf/i8 +jYpUicXGgOL8Y+kV7Cb699NrrdHA9yo/+ukNOvL4Osqwxh0NAUVHhJaxP6dw +r+06FQUHHTMCbG/iedakIGhj8BXSn97hW8JeAJaTM0FfIN1ts6+NBh1Ns8TI +BlZEgrvpPN8i9u2nuUI6axHAyjgdaH0L57mfI981DkVANiNdZAF7B3d7k/X9 +cBg7rRr75DYdvbLRfA4+YRDgmHxiHjvI87b/wbxQUPI+V251B+cJg4LJgpnP +QB2fuz+H/epkrJPrrs/ger5hwfIuXk89w6st8SEQ96TDbxbbXPRc+CJ/MHCE +CEhY3sP9y+lJpp7NR3B1cK6bwf7s/tdArP09jHdssba4T0d7Ay2cJM8Hgpfn +kNAM9rEnd4p8o96BtvxoqfkD3F9zhrkp4i3Ite6ymcbemx605YSFH7hyv99r +rklHsiqbip63+MDZT7J/p7Cldx9u3nzOG07ePhhgpkVHV52Lz7GovoZF9mtq +U9gBpxOaDLa5wzfdDLqZNs5rO/L4TEdfAN9ZrdpJbEf7yTf0rOfQdu1ygKkO +HRFH3IYUXj+Ds4YO9yaxtz9TcKYybWGzwuxe04c4T20z1dp6zwLE45MWJ7D1 +7fgf3WEzgDzN7DITXTxPZ1arS0PvQv9O/tAJ7MebB0ZfjR2Fi2kpNiZ6OD// +i5bIEb1KGXbFXJvAdnfyCzmc85B6ojl+1EQf5wkjpWifX6bU0eUXGyewnTXv +f7jFbU2dNzJfNX5ER2uKfg/m7zpQXXa/+saxH0tEtyfccKam+q/UGT/G+YMh +NVndyZVSMLmYN479fczL/260GyX1O/CXsQHOO7PWzXXVHlRd88W4cezU12Zd +ifNeVMeJ61+NDelIsOPti3+ED8WaVhAxjn1o2rm1JdSXMuALjDQ2wve9HPdt +Bkf9KU7OquhxbBdTHofEwreU7w2Dn8bGeP1Kru7+eSOA0kWmmePYN14bKOoM +BVKhax2lxiZ0lBahsL766QeKrybjzzj2LvOMxMl1QZTaLPOUsSnu7yk6V0uD +g6mo3RlcE9jPw0p3ahz8RDHv7t5lYobnv/KOaNV7n6mD8fZyE9hKDzlYVcVC +qXf2nvom5rj/Rgef2jceSt1X4vGewG5n03jY9SuMcmuipZtY4PvBbGigpUM4 +Fd72vH8Cm6+4aLBHNoIiNlpuMrXE+SmS20ScFkm1UN1Kk9jV7R/P3aiPpMZ5 +q11MrXC/i/a3uP3xC9WscBpNYp87ziB0WvMrVRK6/5/pEzpiV228vrQ7ihqr ++XRuCnv3ewYJ//Eoas4/8KWZNc7LF64Ucv2KprQiNtVMYbf+89xz1y6GckwT +2WZuQ0eu7TqmXjLfKLnXyUbT2I9e2yV+5IiljJoacs1t8f1E6T7ri8pYSlPd +RXAG+8j1N3bK/nGU+a9cS4uneN6aWx2cuvmdck/zrZ/BfqduKm4h9INS5J+T +srTD+1NeGlDX84O65DAWNItdI9t+iuNaPBX73Z7Nyh7fh6NSLN+mxFMatyPN +57CvvVp9xiP4k2I5o9tj5YDzzfsj+nZ2PylJroIb89iT6xqO/W7/SXE9QdVP +HOkou/Hq0rZzCZT1iVtKC9ieaVtTr4cnUBe4Asqsn9HRGwFfO3vWROrPR8vL +i9g3pdap+ekmUhYRC/U2TnT0ckO7TGBJIjXTJHJvCdu38MpNz31JFDU2NWLr +jPsbf/Qn49dJFAQaOixjR6ZsFZYZT6IiPf347J7j/uHU2cN8JZkiHB7GrmBv +P7BtISkhmUoRHpC3d8H183RW6xr/L2rHbsHBVWyGa04SvZa/qJiLa54OrnRk +EFNnqN34i7ot8e7oP2w/7zmhumMpFOfH7r+OL/DnciNqhz+kUHJHB7wYXuL1 +u/aD7ricQrnER55zwn6kL6GVeTuV6szZusDohueZ0f2rg1mp1CFBtQRn7MHs +LWOsQmkU9fiCCfMrXB8jMid4n6VRZg/nDrtgC/d8kSE606jlTP15Fnc6+rBh +Pc/SuXRqQugzcsUekFP70RCWTq07+/E1mwcdFaZuFgtlzqA6Km7ffYnNKSDm +fFs7g4q36ZPg8KQjycLtpewFGVTS9HHuV9j1Dskc4aKZVNbwjX7O13R09JvD +xYMvMilLHtkid+xttzd4R/dlUnf5Gb5xe+F8f4Q2wn8xi/oW7uHriT3pOKJt +8jWLumk0aE97Q0f2ylIsmezZ1NEdmw29sFvNdOrmdbOpXpPt90lv/DyWo607 +irOpHFbG/7yxlwNOiJ3dDVTHm9QrPD74vAklZCu5AaWUpaDqi32ELeHbpQGg +0k6mqfH5Yr8rfrp5J6LCU1lv+mMnpFRd47qKKIPOw1rr/fD9tdhXb/I5ovZr +UabvsK1CE1KrExGFhg493+iP8/GncoWobkS17GR9H4htEmO7w5ovh+LMRgkC +b+koTlT94tnzOdQrTe3qD9h/GAfTGcxzKJ3sycnN7+jobnGZc1pYDvXW/tHG +YOxbbi/DH9XmUJmK1We3BdCRf3+ECD9TLiVbv9PoE/aZw9GMvw7nUu9y9T8J +B9LRE5kN8qoPcqlfOZ/rQ7HvvHu02OWdSznZldF2vMe/ryIiaIRyqeDgYYUI +bCOZhO+T47nUlyomT9EPdBTT7pNhKJRHNWTy1nzBZjl3WLbrch4lRW4V3P0R +zzOFNRUVhzyq2mSHbjS2gpNWR1JcHnXZQyx1bxAdfdpVvMTblkdJcOyjxWL/ +OuIdrr8unyrwPvTwQDCuP+Mtf1NP5lPylVJ537HTr5b+ZHicT4Xry+wUD6Ej +610zQuc+5FNe3Fdf/cSmliYO2JbkU6m3DackPuF8EMPf8W0hn7Jn9b6XhB3z +58eJ32IF1LrvWdWSn+lIlaTLLF4voPTW5mVTsMU/OC7xvyigbELOwrFQOgqP +kdXbk1xADUi+P5WOrSjz5Y1UTwElaMCcfTIM36/+67I4xVdI2Q08O5+FLZcg +veWkTCG1TY2v4kw4HXWvdbySMC2kBlQyNRD2+e71uds/F1KJbvYj5yLo6EEP +Vwl3VSFFC7/hnIedbjMZNrpaSN2RVdkiG0lHPOsW1Iv3F1F/1mulF2I7MCp0 +fLxVRH1Jf3tb/gvO2/Gkkp57ERXUPMBUin3T0OjjgbQiynDT3TjFr7jfe7vV +DvcXUclb5m9VYI8Z28+GbSimaj2SCZUonAfv63OoyxZTA1wfC6qxa8t1yBXz +Ymo9Ff1MLZqOrux4RYSEFVOSFZ1UPTb86eM8XlNMLdyUY74eg/OOyxvWin/F +VPurptJGbM1cb1aNgyXUbcYP725+w+uvMEvruF1CBWl7PmzFrh/J337Po4SK ++O/niTuxOP99ZJFvTCuhtBy4+P5it97/5SQ/UEJ52L0fvx9HRxdMmusSNpRS +8bP3qruwt258JLNBtpTa8fpesvZ3fB9ve1BjZl5Kne97H9KHbaOb4lIcWkrx +R9A99X7Q0Zzz3fsbq0spM/0C+yHsHBl5vXtrpdSF5jRzg3h8v2nV/Px5fxm1 +4d244Ri2b8r7da0aZZSqjJ6ByU88D90a4olXZdSNZ6LGU9iCB1e8T6aUUYpT +u60sEuhIrGwi/kFvGSVywsJpDnspy4/fia+cilvk8LFOxOcxLRfenyunsmsH +Ipaw74Xd+PXNuJwqfLg+yy4Jz9MfB1Z+BZdT+/7zbl7D/qS38W1GWTklJXtr +6VkyzrshAy5pi+UUc+0TIeZfdLTFxLQqXqyCcg7pl3fFfnfZ0Tr0WgVlqBhr +xZ6C8wNv23OP5xWUt01R1Cts6T9qs0Y/K6j7JSf+cqfi39v1pVrxbwUl3sou +6IVNa3kvsJ1WSampiN+kp9HRhMRY3eSJSqqxIDnIF9up5j5zhl4l9aX9fQ9/ +Ou4PebHf7N9VUsHH28UDsKOs3auP51dS961cnAQy8Dyr+mE5PllJOR71+v0R +O5mjOiREqIqS41s9tC0Tz6PhjyoXlasowYTa15+xc0JyPAZtqyiuePrE9iy8 +Xhkj112jqqh/31KvR2Kr6hYmCf6uouYvlOeIZdORcoBtfT1jNfVeQPlwDLas +t9fm95uqKdviU5H7gY6Yu40Paxyqppgmgrb+wO4WHNu4Sa6aCjpo/OEwoqN4 +h8bq2tvVlOH25M1J2N8EFu+4m1dT9vomoVI5dFSetS3njHs1VRoati8N2+Ef +78r452pKUF85/WQuvv+c+EQPSamm+O+YKWdj7/DzYLhUWU2pb+brPZuH8958 +SMVETzUlc+6wUx62y5ZPNm+Xq6n9BpUicvk4zzursknz1lD7j48UFmNz2lpZ +NuyuofRlPU0UC+joq1BdsQlVQ5UfiN9Wie2hIcbEeb2G4ntzs0a1EO/PgMSO +EIMaioPN3a0Oe/pq0gHx5zWU5KHzF64X0VHWvN4OeF9DzXx5wdKMPclGY1OM +r6GyOK+X3CrGee/Frca6whoqbTrBtx07R5l4f7Othlpg+HT/QQnOX0S70p/p +Gsq8YvORHuz5K84zt7hqqQ2ze7l0S/F5sv3p0yRcS4XwVfYOYmtlC+9Sk66l +gvLZCg3KcD6VdkksVq6losJ/x4xjGzV5nTylXUvtVaL8zcrxfdFwCmJtaym9 +mzLOs9gc4fdkBH1qKbeHnRbWFTi/cL7Id/laS/0ithksY8dx8suPZNVSjSOL +ug6VdHRi4lelan0tlfXRSo+xio6kpgQ1EoZqqQu/3hq6YDuKDA/TGeso1v9R +aN/hVL5vAMCVTeGcUwglFS1lK1R3IbISMlMqpFSIioqiVKK0FCnkqygkUZL5 +kE0ke++9zjGOI+R3//78XO/xvs+8x3VpsPLk/o31gUf13QsiNXA1LO9uINqm +7OrWwh01sPlFddjKaiHCP3S7UUy7Bo45BSY/QXNffxNy0aYGND+OVdD+CJFX +lHN22W41MD+9MPYSfUThkTrf/RqI6v1BE6vB+LQ/cfPRiBrgpcrsi0A/fnJ2 +y+vUGlgQ1rq4vlaI1DnZ7+sorQGDR9ToGLTZ1J7z6ztr4I7AyyaZOqwXTUKS +TzBrQFa5SjgeHRrELRS+ohbehOZa7agXIhPvlIL+bKiFA3/ORiWjxR5+3cij +VguGPhXDSg1C5LqkdIu6cS0UKoyqf0draUimOjvWQktA6WP1RiGSH6vxKfRG +LTiJnxnKRidKUsvzntaC0u2fugeacP6n1QSG4mpB0qInvgCtvEbXa2VOLeTL +FVMPNWP/M1rFJ1dbCwlxbrfK0d+8nIqNhmtBz6KLfrgF7+vxt5/PsdWBSK2Y +0x/00Z0rCm8L14Hlj3Xd5q1CpPmaBu8r2TrYHDl+qgndX5Ptk6hZBwViD/tt +27B/LJHalG1VB3LFLNdONE/39GKZSx0Yaqj+s2/HfJz4c0W9fx2wBHSeDqAv +pq0xbQ+vA+7mrVvPdwgR6mO/qp7kOtio3FM4jo4v8L/XX1QHjV89nNw7hUjh +RIJXf2sdFE61rmSiHT7cjOuZxPcHrP9xrQvroaA7q9p56vF+7D+3iHY6sD+v +bl09eAruXefXjfX3FbXPZcr18FZ+TSNHD/bPzZMdWfr1YMFR/zIAHbFz4mji +yXqIlLpis6IXz5t6suCrq/VwVZK14QnatTKNcudhPRSEnKTT+rA+LLxt6/xf +PewRTc4PRV8VfM44nI7f3z/4Srwf64soxz/ylfXQ8Y7vahRaz8uTTai3Hja2 +iFpuHMD1+qrtMzpXD3LXV+2NQzddPqRfJNgAJ0SXNm8fxH5gfOFshHQDCBg2 +i3xGRzq2NF/SaACfhLgVSkM4vl220VomDbBQcZbrO9qtkplNdWqAjzqSnBrD +QmRVnJRih3cD+CVV8OSiq4+ZLn141gDvwt0pWiMYX18uyrh9aIClt1TJYnTf +qtB45ZwGOGWZpGAwiv3Rl6dBzJoGiDDT1atCJ9vZlX8baoBb2zsczcaEiIfM +pfPuSw3w/rLn/Qa0wtZdF2VXN8LHAkrSsXGsRz+u/9OzrRG2fPnc1IE2XHr9 +Omx/I7yoMuVzmMB+IVK4XN+iEQy/LcAg2m3t4qm/5xshfzbp+gW6EBGXzTwV +59cIqrLnM+ho0/DMcpPQRhgZUFy6zBAiS6Zno+cSG2Eml1tvDr3WeVtvZH4j +PNEbCfWZxH5ewPnFgcZGKFjTMbJsCs/L4+C0rrFG8Cvs1b6HZrf/d+gWexOU +di3+xzeN+V9K8rDYmibwYZfleowO9jcvTtnZBBdy3VxoM5ivznOmHdJugsPx +v1pC0fntT8VbrZtg1kr7sAQT94v3+NwF1yZgP1lf+Bb9a0/JkXl/9NG7mtKz +GG9mlTbeD2+CiFLTgo/oy81Ll4SSm+CQ+X6DnSy8j18C94UW4veCjBtS0EWe +ioHiLU3wiO322V1zeF4MjlpE0Jtg8lDTv0y06w3DdxJczTDBsgjf/xfzhffV +K6/EmyH13YJ6IfrOgmw5TaEZQjrLO/XmMb+Wl8YG6TRDwv6ioEr0maH3vMts +m4HbekzDbAHX79GaGY9LzfAnW5PRgD692tu5914z8LGXJNguYj2zatN50zfN +8C7r5vkudKqBEyv7SzP43zwrf+Yfxq+v4bTNxc3wofXe32H0hsvUnEetzdDi +3FLquiREBPul5hiMZujPcoqcRmeEixeZcbdA2JkdXtfYKGSdpYlMqkQLfJzf +YfkPnSu0SlxIsQVSBc9r3FlGIdTF1PfOui1wQ7V/E89yCjnn61ucb9sCgezR +tEfoqV0lfqLuLXCRL4Kbyk4hLXONdefv4/vaW9hC0bGNSwVZb1rgN81uSZyD +QrzEHxzhT2mBQ3u3sEejN2qRa5bFLeA+vnuFDCeF6NLoB6JbW6A845lYAjrV +93T8IAPHq7JrpzwXhdjknfy6g7sVNkxu1v2G3mWodMpNohWq75xxVOemENVK +qZRkhVYo95kOyEVz7vb4MK7TCkc9ar5o81BIeMrFg9tsW8F/lqOzFL33i0Wg +/aVW+BARSDPmpRBmm7tX+L1W+MVyNKxFn5PmolS9boWl12GB1nwUsvqHmfmy +L63gKLapsh19iD9SR6GoFTi5+UQc+ClkrEqm/0RLK3RPGzgOobv+7lQJpLdC +79WRdJcVFGJVwVRO5WyDdeuHKdPoJz+z+5vE2sDtjp7btZUU4v4u3+CfXBvk +KPHX/kNf9dZyXH+wDeZ+yu/1F6CQDxE+yvtt0EWZCbyCFGIU8SnjuGsb3Kr6 +JPkYff204JyXP9qN59UqIQqJorbTn75qg9Q9v0TC0S8lj8Z8SGqD5qLF15IU +Ctl2MIGS/bMNvka/ln6Ppj6U2FvV2AaCJz983UalEHatTpmOsTZ4ESKtl4y+ +zLHz9+jydhipXtWjQqMQvuw96iyRdmiL97ydiXaJ1DyzbEc7zH8x3nxgFYXQ +t10x59Fsh4lrkdVFaD0FXt6Vlu1g9sLRz3A1hSxVK94WvNAOVS9jVf+gfa9J +5wv64d8L2TMshfH3XbSylS/b4ejLN1/a0J/E5V/zJrRD8I+jnvYiFLLyToIq +O2kHmZWPNIfQngVpEX9r2yF0oy7NVZRClvf6VU8MtcPdx/5D0+hcpT013f/a +4UyPTuH1NRSSZ7XqXQ2tAzK+PI5lE6OQbwa7D+Zv6QDmw5OP7qEDjtd9T9rb +AUncmddWiFOIq7zoYphpB1h8fXv+Gbrxu6ywn1MHGEnT7EUlKKRXZx+Hk3cH +bB+jnYxEm/l6lug/7YBjke9Ob1pLIRtOLHeQje0Ag/Ii53j0ZnmeRv7MDrDm +8vaSX0chpbFfpIeqOkCsuzAoDR2QL3O4oLcDhunv3+2RpBCHtmDTiLkO2Fa4 +9mc+utCKR0yduxNOM3YOHFpPIZUyQ9feUTphjLtFqApt9si7dKVEJ+x4vXG/ +uRTeL8ZR3qsynRC7l+9KC1rKnkO9Tb4T0vyefD61gUKe/ydhq6XRCRVz3ycG +0MHicm4fDnaCxu7bKi4bKeTOWMXVFUc64VkV3XcaLdV9z83VphOkTTn/XN9E +IfyXx45XO3TCCdO8LcukKUSk6gkounZC9mmZu/fRnBVsws+udULEatWBlTIU +Uj1d0UW/0wnnFhmHQ9CX7/rHHA7uhPeJx7LENlOI4Nm0YwlhnfD122W5aLTx +bgYfd0wn8CTs+7B5C95fzZ9fTn3qBG7JTJkktNu9jCOZ3ztB591IvPJWCklM +cRik5XfCpl/Vyplo9S3G185XdIKQrGvBgW0UorzIxZFfj+thVmhdgiYzog9E +ujrBsL5u+vB2CnEKovBeGOmEQJ3/XtShRQe9/XNnOqFWVXaPrSyFhIz2z1PY +uuCn2pXBbrTg1hZXe74u+NN1M/zcDgqR6+ntTF3VBffz9E3p6BerHxuzS3bB +vfPNgp47KSTigkOWydYuMHWXq1lEv9Kb2Byl1AXXzxq88ZejkLc/fzwb2dsF +MZ1y5/nlKUThvdGi6qEuOHOxHZ6hA1yUz/qZdoFdtJXYGgWMr0dna8psu0BO +8O3fKPQdTckDNKcuCNRL65RRxPc1KSfbXOqCdT1vKj6hm12IVPSNLghwMc9R +VqIQWyH9l/13uyDkZte3TLS7n7XA9idd8Pe9ZqqmMoUEaVwNdAnvgque19NK +0X0um/m/vOsCcjcw94gKhdA4p59MJnVBhv3lygZ085vTEko/umDbO7WeE6oU +IvNw7pP7zy5obGpZ7EPb9+7T+fKrC7JCbddd3EUhP5zT+8YbcL5u2drTaPbI +kYfbu7vAeXbJ7cZuCrmYfnyP02gXSORKxyxXw/X68Hw6mtkFYTbyLQ/Q0muo +aS1s3dBlK7WGoo7jPX/cbxV/N/Rb/bUNQ/dnz1kYru7G+iMrVlID70uv8647 +kt3gF+jMjEUPuipv/LG1G7b2cxju3EMhJfFNYuNK3TB8/1HcN/SdsLZ1G/Z1 +Q8dyLt69eynEjpUvZ36oG3YNu7oVoFdprjh837QbBKsr2gz2UYhlosb1dNtu +yNZfZ1KDbpWp+Tp4pht8hx3LbADjlc3RfyKXuuG+1nu9brRb8n5LnRvdoDvU +VnluP8YT/TXE4243CLlSbBhoU247tbeP8XtnD4x4HcD8d/vZz/JX3bDvrOtt +Nk2cD0XZjhnTDUHLIyQD0GLlP1esT+qGd2Xl+YJaFFLsk1dxKL0b/pktng9F +f/mRGOWW3w1aikriktoYf0o57oVWdMMSy+V3LHpT2iHf7Ppu+KWRErTzIOZ7 +ndng7s5ucA7+Z5iGXlwKTuEa6Ybb/uar9ulQCGNj8MjWmW6o/pLeVYhu/equ +brjUDbLxW78Z6WJ8dc+IusjbA07L4oPr0P3N3eLBtB6wNNBwOX6IQtZvP/f5 +09oe6BbvMOtDG5wqs6nY3ANC3KFwUY9Cfu2+s25YoQdq3joozKDNZIXmufb0 +gIyP3lYffawnro3RN+j0gJq87mZOAwqJXxPKtu9ID6w7bLf9ETqxNGCblU0P +sJ1/rrLaEH/Psc/1kkMP8Ir3HYxAF3IrVj1w6YFXk+a20kYUovS7Qz/aqwcG +7g54fUKried3f7/dAwfPvX6tchjrA2ez0F8Pe2C3gkdBNtp+ceW57pc9IOnu +NnXQGPNb7Xkr5lucLwnZUomWSO935E3ogdzkLnuLIxSybzvrqfi3HkhosHrf +jv58dU2bbG4PVJfOj54xoZDvMT9195bifMUr1CfQe/1c/xjW9EDg6fJgT1PM +f5EvfI619UCq4vzgEjrVIEnv3EAPiEkd1wswo5Az0Qq7rjJ6gORPfhY6SiF/ +PEN1bs/3wOPEbIlX6DXOll6POHvBxyP3sZQ55ofGwYpQwV54nTjHE48WH8jX +jl7TC4JjFwMULShk2se28+PGXuAqWyuQiX6pK/v2y45eiG3kC9eyxPuf9sE/ +fVcvmCSpylagxxZ0g3MO9IJB538FR63wvK32zf5p0AssdhP7NvQyUkQtMe+F +9iRNnjPWFLLn1tPgcrteuHH1Wuo4mvbaXKHyXC+Y0ZkOnjYUck0qYL7KoxfY +U7Ik2I5h/hyMGPvt0wvmJhXNAWjrAH6e6vu9sMxhcxTFFud38qDB76e9kHOr +6lw4uiQ093vl6154ql6kvvE4hZSvGTeqeI9/v20lNRG99EpboPQzzrfv/YTy +CQqxeKI6V/CjF36yPavJRvfu2yVIfvbCe1pNto4d5rPEH0cyfvVCW6pzUhX6 +4nv5nNSGXojwtHlvdRLzW76AVWJXLxydifmvC516smjduxH83s9Dsc6n8L7H +lFJfz/QCr5d+8hR67Fqg8tOlXhCKjyfepylkIey6/z3ePpidcG7gtMf74s3P +foPWB8c7H04Hoz3PJyW7rO2DOQpVVNSBQnZcrn10anMfxIovHIhGL10cDzdT +6AMIMXTf5oj3YfZCo7ZGH0RTOT+mooduEB2Vg30wsGNz/54zFCIka92/ybgP +aD5ftxahQ9jjvtOs+0AvNMnD2Anr69I1mcvs+6CeJlLQiA7ml2KMX+iDfw8m +xE6fpZC0DbI2LVf7YNVTNa8RNEUhnlnk2wd3CLPl8jmcnzRf8ZfAPhj6vEXn +H9ooPaP8dUgf1DF/p913xvtzdhvn3cg+aJVl7KCcx/7kXrHHxQ990D4UmBCO +lt7MJmqe0gevCqPkNl3AfkBOc1Ijqw/mLRUyPqGFDOaXbyjqg/HdBwx2XaSQ +BzNh+ty/+yCMrbqboNPcA0pHmvpAQLfbV98F41m1qm9VTx9cf3dVuhYdyhBy +TRnrgwNfHv8+7kohWV53XobM9sE3TrnbA+iSlr/MK8v6QV/dQv2SG4VwH+t5 +YsHfD7cHuOb+oo9zfHRQXd0P/LGaOf6XMD4mf3dfLdkPjwX4AwXcsR7lvpE5 +taUfqn+csg1Dc9w4AdWK/UD2H1LZ4IHn3fDXv097+gH2kFWJ6Ij7in8f6PSD +xcHyvyqXsV7nm1NwPNIPKjPOA7notutBsWDTDzx9b5v1rmA8OXLUao1DP4gm +udTWoCcrsnUnL/bDj6G62uNXcT85FK+UefaDt0JjywA6uF6sK9qvH3rWeQ5d +8sTzOtEV5BXUD3cNvi7Oo22r6FcOv+iHfSZPRe95UcjpnOSojVH9UFgqqC50 +DeffEMjL+tAPnMYKp8PRl5cPppan4PxvzD7ZdJ1CfFjyUZFZ/TA+YF+UhA6G +ynK3on6ol/NarnYD443sFnXN3/3AGlU5+BPd2h87TG3uh8YfkcFG3hQycDql +rbunH5rkv7Y3oM0cUmgpY/3gM+qpctqHQm75CTzyne0Hv/sjz0bR8et26h9e +NgBv3wjNXr2J/YOrl4E4/wDEFA2eWnYL60evo08HVg3A5bdXaoLQ4pStEqnr +BkCtMN1A2BfvW5vtqM+WAZirSi17i95kbrH8kOIADB07e2S7H+YjcuMEZc8A +XONobP2Gvq6qtKz54ABwOnK47b9NIVfedg9HGw/A8jUTvOVok4wJ8XPWA7Ap +61W8+R0870IkRM5+AKSGOU070WVL6eYzFwagaJ8K23l/7C+/g13G1QGYMN/6 +bQadr/bjy03fASgo73HzvUshO60DjTQDB0B/zxkl/ntYb2aIKHGGDMA3rZSF +F+jHdYWniyMGwONmacX6+xQyOs1qDYgbgOGATzEJ6OuKq//T+zIAQUt2fqoB +WF/53kzhzcTx3Op2zEPfjQgTKC0YAMt3qiaGD7CelyxOu185AGwrTmg1oIfP +X0w42DgAFDObPacDsf4g46PLuwfgs/COPWPoR1uSbuSODMDsVIOmVxDep7sC +VjdmBkA6wPYI+0M8f4/cb6su4XjdshyC0aole+bpPIMgajB3a80jjKfPqvLj +qYNA/7rqv3do7zWPmuwlBqHZQKhcLphCkh0aQEJmEMo+jf3NQEcYCDFr5AYh +zitJQecx5tdrrxYC1QbBXv+oazWacqnW7IDWIBjndabaPsF4cX/DAtNwEMJv +mC8NoAP7e2cSLAbho8hXE4+nFKL50PvAyZODMKD0L/4fWsNYv4PmPAirXFX4 +A59h/d+QVFXkMQhNTsfcVz/H/j+aj3bNZxD+ZV3qfIt+yZ7zcdv9QQhded1c +NgS/L701pOXJILxlXan+jhbhSPwTFD4IsNbpqNYLCjl6NdZR490gtIgZt1ei +r0p7GQ1/wvk+kXO1eYn15FPfwLDvg5C3jo+7H52zUnKtTt4gbHTofH8plEL0 +y1I4p8oGYYztq8EiOqM4XDuqdhAmQ+6xAsJwfdpUmvXbB2EDsU5c9QrzbU53 +0czAIBRtkHN6i/YbW+J7yxgEgeM8W2XD8TyVjMTqzQ+CoeAA4zta9A7H60mO +IZBorsjTek0hFVs+DIQLDAH1RGZYFXp7uPIjTdEh6Nf4evXYGwopeMz9cEhq +CC6u+nFsAC345mbv4+1DUBRQrusRgedfevalisoQMNXG1JfQc86VMc37hkCt +VFIlKJJCeO+e4r91aAgWGxxURaIwfpxeWbnBdAhyuXP2xaAZpTtHC48Ngehf +2cNyb/E+W284c9ZxCDKOpDpkouMeaO/hcx2CqE+mt3Wjcf4fGS4JXkOQlbIi +rga9vvPuP4PbQyC9vOeP3X/Yj8gdHxkJwu/va+AcRfO41qgEvRgCI94R8IrB ++3REu31r1BA0c67343iH9d5J/r7iD0Pwsd6z9An6K5u/vmPKEJxZNy269j2F +PHPhFVyeNQR8vi9dP6J1c5iKkYVDEBB58pdKLIXkdsWmqVUNgcLao4r56I6o +y+G1jUOgG+UeeTgO83d4RrtL9xDIlmRTWtD1RjV3eEaH4InGrodOHyjkneCa +wOiZIVgX0blyGv17ZT9DbWkIYp5kvvT9SCExZiGZ1TzDoJxRKrMynkJO/PQZ +OEsdhr7sFTmv0PfFFq4siQ8DC+7ZyiRQSBj9rNML6WH41btreSr6W/rarG1y +w/D3yMbPkIjnK9fjcu7uYdi2Vd++Ai2/reCJmeYwrKYmrbP+RCFNi06UAYNh +qEs+0tWHXlydzrxmPgwu8UoJ7klYr29deWCF3TAIv7PyXkLvrcilR5wdhu1a +eUcffsb+9cIWLjn3YdDe4aq8JplCmKZRfrk3hmGR20E8Fq0b421vfHcYRK5F +8yp9wXrYTjSxPXgY3spsXcpFz58qO3YxbBhC0xbmDVMwPp0adp+PHoY9VWvZ +mtECk1WMgIRhGBQO5ndKxXzv96dx9bdh2KFsvG4anWmrt+W/nGH49uv0br+v +FOIRF9S5o2QYVALLrAW+UUi7E33Zj+phKBUKuP0azeZd+VCrZRiu8USkbEnD ++jHS2+9X7zB4ivIPf0PnnTPptBgfhn2DNVu0vlOIimnMx47ZYTghOefyG+3w +oaTNadkIXHP0zjqeTiFbw0V8JvhG4ORpO8oI+oBy//2rq0ZANifmotcPjD8n +Av8trB2B6fUG1ZwZuN6t1l23N4/AkqLlnudoJbN4eR6FEah8U5q0PhPz3YHq +0YfqI/CX692WJLTF8k3CFO0R2CY2+FEjC/vlmtnEEKMRuHArVLEUXV4e/UXE +cgRyO1LzLbIpxLXz6qbwkyNg0rvPphe9vq+cU8J5BG6rqs9dysH69uGMeYTH +CIzciotaQos7Hlq9zmcEdjoHGD3KpZDwFlHtyHsjQI1qXy5OKOTf3szutU9G +4HtJQu4H9I6vdxhvXo3A9qeMO6p5uL46RW7iMSOQ/98X4wL0udb6k68S8f1x +YxtM87HfUOfNF04bAXODuMUONI3rS8jz3BEo3dXZcfEn1uM5Uk2CpSOwTjS8 +dB69szTpcdCfEXgRWp/xoAD7O4eEdK7WEbA7FZoqUojxL8n5qF/fCLSub099 +j14RB/bz4yOQ4ZeYqVSE/YKsT99l1ggky3GU56F5/15pGVs2Cu/r+7uMiymE +muh98Az/KLzdYMHWjq7M7dnYvmoUWLlmMhdKKOT148Wr5utGgftYl9lftISF +BFRsHgWbt2wPAkrxfO585q2pMAo/9qQWCpdRyJFVX+TS1fH3bX9536ONOsqs +dmiPwv6dTeZK5XjeDRVY0UajUNhm/DEPzcdUERC2HIWBsJMcRyoopM982+sH +J0dBbeVKp3b0gyK7qIVzo3B+0KL6wi+sl+9uFnf1GIWbjaA1j05I/CPQ5T0K +nkGlWQ8q8bzuTrluem8UHnye2StaRSHHeETsfj7G900VFsWixRtNspRejYIA +5x5Lld8UYqmb+izmv1Gofm498ROdVxPUTU0cBcvD6x+bVmN92Lk90e/bKHT0 +PFXtQtt96pmYyBmFl+zJfa5/sL45zp50vGQU6Lbeb/6hc6ab+8uqR+FVFMvm +UQ32R9YZ4btacL1uyEhJ1GK9bMoojekdha1vuSfi0S53qy4Ljo+CeE5EgVod +5t9b715fnx2FqLvD0SVo3/jcfX1sY7A5buKeZT3Wh2ZuJ4z5xsCsJsmjH+2R +wDmfThsDycytZ680UMhEXuWqDWvHwEvwtANHI9YrD8QSA2XGINjP+uxzdEvT +rrxJuTHoy6dc3tBEIYZnrxy1URuDGf+H97+g71VJncnTHIPAa+X/7W/G/jQw +iLnZcAxumf4urEK/YbFxBZuPAUf+G/qJFgqRO/Y7ZOrEGDhcV9w4jjar1Y2x +OovPdz4/7tOK8fHCN4XsS2MQ+5hErWjDeMjntF/qxhgIm2YNvUZ734iv8vcf +A8MtARrb2/+fr351DDwag4hC6RcZaO8ray/ph46BRdtLpl4HheznGLyT+HYM +BDa22TWh1TyuiwrEj4G//t/fZztx/f5JybmmjkE6N12PhdYu2F5SlTUGvwRI +2f0urLcKe3vkisZgnnbBTKSbQu4Mv7r9uGoMxstnemLRFX9D3403joHmyAlv +1R4KUY/Zrm/UPQYdMh8litDPPaI9EkbGoESpvsC8F89/10Ep3pkxOF48cLkP +/fWgo9mZf2PAE9ohe6WPQqSaDfh+co+DnVXuKEc/ji/voI4kZRzM8wK+hqAl +liK5b4iNw8j9vf6bBijk7fWYw/Ubx2H/6Y5jX9GC7FHiCjvGoZ/LTUN7kEKE +D7W5BKmOwylZxoZa9IbOj4ewO4TABw5UhyHsv7SPfNynNw5GdeW80/93rfjT +UNNxoBdt4fUfxvqwxpKNfmwc6lb7CK0aoRCtc8azuo7j4HetTPIdetk7o6tR +Lvj8I3WX8ijmz8sRPkzPccg5YWlRgL765cFKI79xOHYk3OfoGOZT0eMyMYHj +sHNXW2Iv+tah0yWs5+OQXC7Ve3kc65WSnimjiHFIKDq3kXMC8ye77Mf/YseB +2pXm/AL9n8HdQebncZCs5cuQpmN8r1dL0f+B77N2oqShx7Ofc0Xmj0PW1ko3 +HQbWl1xtffTycfi6tL+xHi30wu6IVt04LITk6TpNYvxUddR50T4O+TEmubNo +5YhdJf0DON7+yX0BU3heTq+v38UYh2sicUWi09iPs59zC/g7Dg0MV4uPaPke +m9BG9gk4I288rjZDIZLGYLBl5QR4B+sEl6HPXbF76Ck8AWeLLVWPMSnk4EWO +Y0WSE1D60r9/BC2m5Pl91dYJuJheGek9i/Emge2/04r4+8FdditZGL+ihsSS +NSZgujtvcyT6X/b1DYvaE3DJwYW1cw7X8+1Cut7hCYjYCtW5aN387+0vLCdA +e0Il5chfCtkSMP286+QEXHE/+roLzb5vvlHWeQKC3d48dJ/H+nL1qiRPjwng +iBO8x75AIW4y92n53hPgV/P5fgia5vaGd8W9CehPvflUepFCuFpePzF/PAGu +XDdj0tB1yr8+RIZNwIUHn7N1/+H5VPAyHYieANP5VZ2N6HiX3kdyCROwQjyZ +z3mJQtJdrY95fsX1ibu9dx5tH7UuMyd7Amrsgr0eslFJk8mNT5zFE/CUvS5z +7TIqOULSFA1/T8AhUyvuz2jVFaIGz5omoJxf7Nj+5WjoZzZ0T8B2uvj3anSD +wVnVtaMTkJ9rJ27PTiW/+fp4T89MAJ/GwP1p9CONmEux/yYwf31duMtBJVcL +plVn2OkQuqvkmggnlTw/cGvpJQ8duDSklz6gGSYhz3avpIPVeMVDdS4q0ZO2 +pDdR6MBHy9tQgX7bNSx6Q5gOwufZ845zU8nWKPcVEuJ0cE9/4TSBNnemlGdJ +0sE4+5qwHw+VfD44fPT4JvSeL7+ovFQiKLM+fnEL/j1r76N36IbpurKIHXTw +T5UyV+WjEq6nO7/vVaRDu8IJ6RL01QpD1zZVOnipzixa81PJahezKW8NOoz7 +D7aPoDvlHbUk9tNBsEutxGcFlVQVvLPL1KYDS2Dkh+BKKun/pXzIRo8Oo38W +U6PRD3t3LbKM6HCO4ZGmJEAlh17+vhlqSgcNOeO8QnS9g9QvFUs6HDN5Wmsp +SCXDhYaDNcfoMCixhz6Epklf+X3pJB3OWJqs8haikvmurLuCjnS4WfRnvwCF +SuKP6PB8OkeHlfL5V96iU38oWem70EHGRipVkUolf47FXRlwp8N+/klWAVr0 +3M+T/p506OFV1bWkUUkyT/waKW86tEhMRAyhrSx93mb70kGLX3Lxxiqcj6Pd +jPVdOpx8U+wgsJpKEtXdRZkP6JAdOlz7Fp1U1cD7LJgOywsfGCkJU8lu4ZTS +Hc/pYD4aW1mIjpzcYFUaSoe2Oi0rKxEqUdxn+M3hDR3+6Z0eHkbvLTXuWnpL +hxAKx10fUdxPS+PW8Pd0uD6zbYvQGipJib4QqxJPh66cxpr/0CctSuF3Es5v +l2CAihiV1Ky5/8E5lQ78W35rl6B9/Is7OdLpcPbYWr5j4lQiuylxMDKLDjav +WQ1j6ERvC7I7jw4mKfZJvhJU4sc16PSnENfD+eQj2loqsZe73XG+jA59j+mX +Y9GKx3Q2c1bR4fboake1dVTyotscImvoQDH8c7wC/R/tz+ZdjXSQur7Zzk6S +SswUWjurWungqSlybhItevWF89kuOhhdirlxdz2VTApKFrL106H3z6+XolJU +ErYhnB42TIccpbCMBHRyyeYx+Qk6lJzkGNi3gUrsKEMZJVM4v82rJP6gO9mW +rE+y6JBlVmrtuJFKKp4Fls0u0OHhV+m3LLTM98QVj5cxQENk+0TQJpz/0Xvr +ZbgY0K7XoiMpjedfezdXNh8DPojtjktBs471ZJsJMuCwlZaQjgyVXD75QXeY +xoBH1f/8mtBZAh9ifEUZcNz8wsKFzVSyR5z9j/BaBqikPrrFtoVKtHc2/0mU +YsDjDAf+EHRxv1GspgwD9mlMRW3eSiViTTcNG7cxQItTY28mevnTR4UX5Riw +Ymhvz+FtVML7OJzCrsyAjd8Xn3aj5fWK5MN2M0Bzv7fe1e1UYrtDYeOOvQyI +Ns/k5ZOlEv/I+cG8A/i9kqw/Eejs6YO3LXQY8MD59juFHVQS7Cs/MazPgOcr +BW4VouPvtcjdMmZA0p1Tp613UsmUppM27SgDtKNuHh5D5/VPycZZMaBH0UnL +T45KusOjh9SPMyCAsvbAankqOeHz5HrlKQYYCPyn+xHt8V9nx6kzDLi3MGux +V4FKmKtT1sw4M+Df5/Wu1ejaxk1bAlwZ8GJh7RNHRSqp7LbiF7/MgOtpjB9z +6EEpl5+fvBiwJiVi9JESlay74X9kvw8Ddhds3LJBGfe7NDPljx8DyvLuXkhD +z7QpDTvcYwCXb+EPfRUq+ea3YpYZyIDbtb2CHegH7o5NAY8ZwAjpc/FQxfjn +eOKpWAgDbEJL67l3oblFJBPDGCCZ8kz3Dfr236TbeyMYUJypmSe/m0o0Gw5m +VUYzQCaoRasQbbVjvtwuFuc7e6LKWo1KRPzHv9DjGfClodJ+HH3MClz8PjNg +jH3HsjvqVBK9duUy6lcGtJrdiBPRoJJf4On8XzoDfkdlWiSioyUj4hWzGbCe +TAgc2IPxfnVkXn4e7s+jNb/r0EqXXn02LWLAyi71cOe9VNLilXS5u4wBC8/N +Ly6hj51bEHKvYkD9rfN6IfuoxPrqf/7Lahlge/Pmzq2A+1GeW/WkkQFZ555I +5KAzAj0mJdsYYCwRQzPbTyXXKlpHk7oYEOeWThtEt0aL5e7tZ8CvA38kfA5Q +yXqK4bmKYQY0OU/upGpSSanokxGbCQboFovpx6GzPnHqDE0xoETRyGWPFp6/ +7HIvTxYD/B8Eva5G929b5s+5yICEuIbqM9q4378LnJ4vm4Tqc0qUBfQnP5VN +UlyT0JX41vrpQSpp5HL/kcQ3CQtGUgkyOlRisP7V5j2Ck3B923fOLHT6vVKX +UtokbFnvcM5EF+PFoNRjC9FJmFmxrb4ffWWMBPRITIJUFZ+h9yEqyVQoPOYm +NQk7D/KUU/SoZJmhEc+i9CTwHt5kFoe+U+IZ/GDbJOSXnOzdo4/5brv9+Gq5 +SfgSknvzD1qdvmPLf0qT8P6p5oazBlRiE8jU2Ll7Em5GjVQuoh84tGzN2DMJ +AZFZ/s8NqYSj8y/j4IFJUHL9rrXViEraLD1Cqg9OgvdkG38uukTCnnJcfxLO +8yq2HT2M+c5z8Ozg4Uk49uLb92F0ygep1x5mkyDq5fza15hKxgZlP/yznIQn +z00DhI/gfjptefLAdhIWS11vJqLTDRXNVp2aBO5/P300TTDefj/LiHSchFtU +k3uNaOPcIeetzpNwf1g0zMUU19O9JjfVZRL8z61N5TDD+qVRi77XYxJMPE42 +hKMrxq0Wij0noXWkh0PhKJ6vRPleE+9J8Pj+UaMYXbo0GNfiOwkVGak3jptT +SWhllK7j3Un40cxeOIU+OOv+c/wB7tfCa5FAC6wPjH3FvYJxvThveqy3xPV4 +12e87PkkJLQkNKah1+aQk4Ghk8DvuFnXyArzi5XcYdqbSWDen8zpQd/aZiz6 +5u0kqG8X3H/dmkrWdO/N3fR+En6q3CoTsqESPuk1Wp8+TkJjsPaJODTns38x +KkmTILHu1PzeY1RimMvfnZ0yCVfK66Nr0cIaJxYPfp8ErltxJudtqaQriMb8 +lTkJhlJ1fMuPYz5S0KswJ5Ow6fWpX2HoymgJ37aCSYirO/xK7gSVvDFMoDiW +ToJMRqRLEXr2FdVv9Be+X9HM6LgdlegPuVZ6/MH13uKiMo3+9axz7m/9JCTf +Y8gEnaSSJ/1+7LdbJsFvV4fUhlNUorbz0ghPJ45HRk3mB7o8vvzL415c773L +lI+cppLFkCQL4SGc/zk1gwH08vW7mt+MTYLVi57zN+1x/ldv79k4OQn0T8te +rnagEo0fn3w+MifhVNSL0kS0KFd9hNz8JLyxiObSdqQScTfRiG9LeJ6JjFEL ++jX7sxsaHFPQU7Y5wv0M3vdCO7U8nilYZh/L5HXC/JgaWa+zcgo2er6zjkY7 +/DxvVkGZgqczG4t2n6USyd6ezybCUzBQIbPnNzp5ceNovdgUqI0mZTqdo5K4 +iUM8tpJTkK+Zo72Etn3mytG1cQoEiEXDS2cqMUr/2um4ZQq2H73usfM85qtt +KhHDsvj3E9vWFKFpn1aquypMQbWfc8nxC3ie/tp8n1KZgh8L6n4z6HPFaqu9 +1KfgkEmk1qOLmF/ziswW9k3BiNtLQWkXKskNXufhqzUFZ42k+7LQipXHPTgO +TQFbk2HBUVcqOS8SfTTAcArEuQQ/jaLXzHOIrDCZAv/ii1H+bpgPlsdmPDaf +Al2h868lLlFJT/JboNlMAaOGJ/or2t6PEvvyxBQoceklG7pjvB5cNb7GfgrE +Xu8o7UWrmBWLRDhNgcT99BFvD7zPWw5uXH9hCqZyRkRWX8b9LY4XinGbgse7 +So0+oTcHruqUvjIFN/pNHx28gvGURD79cG0KrPIC69vQud8cpbffnIIdOe5b +r17F/fx09/Wn21OgWbPinoAnjq9XbFru/hS4ztqMxqJvPDsglxI0Be+k7GzB +C3/ft9pI+ckUKOuJ1zegEzm/GqWFTEGT41Nrt2tUUrB6t8LuVzge15/9PNep +xFQ+Z/ZHxBQknEj1iUZfPHc6WuO/KajZbr9O/QaOv3L/zuzYKRD+XVvyB93s +dCVyX8IUlGjz+Zz3xr9XkpjM/YzzucOpweFDJTtkTbYe+IrzuVeyPAL9Slte +Oz99Cv7TNa9VuYn3/Wydplb2FLDyPn2uRCvftJUuyJsCT3pNiNMtKnF26BrR +LpqCi5Wld9h88XxN3XpZWDYF9yyfer9CX140k9apmoKs+7K3FP2oRODwtbCi +mikIOBYRVI6Wj+en6zROQUhVX7TDbSrxrJKRLW6dgt+d3PmL6NGr/Ya6XVNA +HnKOvryD62lyxrS4D+dX3Skp74/z4c/fozs8Ba0Jr4+XojV0V68oHp8CB/Hd +70/fxefvbxCdqSkIXZfOnEf/yhKyKZqdAq+va01f3MP8IElvPLgwBc6tzt93 +3sf7a6Wyt5BtGoxfRsuUoC+Ozt/T5pwG9e6fUacCqMTXxi7tJ+80vCA1G+bR +V8RvlGsKTMMRxZrPIQ8wfkQ7F+VRp+HO7gKdnYH4PUu9uP0i05BV+2GgGK3x +TtElV3waMnnuPDsVRCW7Bg6I71s/DR31R3Xn0SeuPUvK2jQNrw+s53rxkEo6 +PsEWja3T0GQwULnzEcazPw4BP3ZMwxArIboE/XDH2qpditNwztDt5ulgrLeX +7ix8U50GNX1VxwX0gv9XIWWNaShlLpm/fEwlUoxS/hSYhlSLqiPyT3A/PDrG +5LSnYZlrrHkZmq4o9P3ToWlgP3jfweEplQQd9XTabjQN4e0ePv/Q6VNySx9M +poEccHkb9gz3R8b8powFjv+y1y/F51TCz7a8L8ZmGoZvhnD8Qi8FmChJ2U3D ++JmCg04hVLKx+MS5SPtp8Fbme7rsBZX0pmvfFz87DScnnPpfo9ms1j0Ku4C/ +j+o4qPqSSvJDuW6svjQN2Yc9Pv9GczuKmjy7Mg1JHNIbz4dSyZEPLoKC16dB +vpz5ljMM56+5KS3o5jR0JwxveYu+LXT0IM+dachPXp6p/grj06Botv/9aTjW +u9+yDm0d/mjtsofTYGUSt+gaTiU6jIozPk+moWv57iS+11QilMIImwuZBjeO +mbPv0bFvhL9eeTUNU6c6d+x/g/2Vs0U6I2Ia3m1eWGhGb64qf3/xP1zP0/r1 +VyKwfrn+1Hsodhpk1/36IRRJJRa0/D2OCdPgdO5eXAL66D6v/s7PaBOvKJ0o +KtkWVnnN9ivOp/dddBc66kcHsyF9GkzkBZK831LJkHLRcbPsaQjWTisQicb6 +++WbpMq8aeCWj+pLQZ854zOkVzQNzsvLhQ7/h+OVuSNQWDYNEeUaOkPoTNOS +tfurpqH29dRd/xjsH047iWTWTMPAnekqyXdUUlV8fV6lcRrKQvZvykRPjEmU +JbdOA7Oj6bbFe+x/Nc7e2d41Des980cYaEWq5+bYvmmIvrBw4lEs5vtK+7T1 +w7g+fx60bonD81dwSP71+DTMZV1wKECv0Nv/YvUU/v2+OKbdB+x33jv0PZ6d +hpXOGs/n0Zelfq/nW5iGuqPb1UM/Yj20+EbXn20G2qjXRhTj8f1X+6z/cczA ++h8ycZXoX3k/Lb14ZyDDVvWicwKuN9X0wOTKGdChxe/lSqQS1+fxwheoM1A1 +eUf0PzT7xYGGPuEZSKEULe79hOc3d8NdO/EZCLvnPtaEXhV/dV2T5AyUnw0a +uJKE/bvmYozpphnIraKOUj7j/X79e3XFlhk4XsM3/wkdmMd3+eCOGegNurJK +Pxn76ZzCnByFGVhHNd/dj9YJEWfuUp0B2q2EM7e/YH28X0bsi/oMyI5ej1qX +gvPLWdq2DWbghEdhdwb681LelhitGeje+UjeMhXv99Q9msShGdinVhswhW7y +PzsSYjgD7z69GXn8FfNzqG/ySpMZsI8btJL9RiXPVwydvmc+AzaaGb9L0O+z +M5cvWc9AXDjNzDGNSt76UZ94npiBhQpmx7LvWJ9u5eann54BC6ajZyRazy/V +46zTDHAo26/RSMd+84hCWef5GRiLoRc2oCetwwWs3WZA2UHI5/IPzE82PAeq +L8+A+/OCfZQMrAf4X5zSuzYDAUcE+ZPQ9ZI2bnk+MzCfMdmln4n9oO6li2q3 +Z+DOpNvPAXSD7LTVl3szoCfy8LN/FsaHKwuKW4NmgK6nEyuVTSVueTHzbx/P +gEdCdFwOeuUn9lTRENz/429Tj+Vg/q5SsX4SNgMNvtplLHRsltk4d8QMFO9+ +MvIiF+MZm6f7regZuBt3V0SJUMlj6R99zPczsIwuc/g3uuOz0iGX+BnIU7n6 ++GIe3kdJtvC+JBz/mystfPmYHyZ2tdimzsC9Q5sVP6CnX0zz136fgfMnHj0/ ++BP73bvGsgZZM6DBHr/Ujf4ie3pPPpkBF9tbV30LsP6ePLhHrXAGCh4LstYW +UsmWPatkk0tnIOGnrX8m+uS5fv7NlTOQtu6cuHUR5sO6upaIP7g/xarZTHRP +/fzrVQ0zQB0oPhdSTCWO5JJhUAvON2adlGIJnteOI2PLOmcgWGZvTxV6hU/K +Ta/eGVgdJp18sZRKfrZ/ZpsYxPFLNd/nL6OSNO3THo5jM3Bl1Nb5I/rScHd9 +C2MGqjckW+qW433kMdhuypyBrRN1xn3oX9WpbiV/Z0DJ+7fpnQqMx5dV4/Yt +zYDcTPRJqV/Yf0mMVn5lZ0LDXcNruej+8bGBbTxMOGDz583xSir5vdJ88u0K +JnRGqpTPo1+/VB8XpjDhP18vjvAqKlGI+d7ycDUT5mQjDu3+jfXrob6M5WJM +eFP9PrQenfOiNchrHROS3oQwLldjffcq7fD4BiaMZ523oP3B+tLmIbvDZiZY +n9pR9AUd33Y1vmk7+kfL/iM12C9seKxlLI/vn/YqGkdTpMcrC5SZ4KHNbfmo +lkrEWhMN1dWY8KgxYHJ7HeZDjd6sz3uZ4NK9FFaGTlX4JCmtyYSK5y765+qx +HohffyVchwmv1zVw8TRgv/jQMlvQgAlHv2lUxqJfZTiz/I2ZMBMY+fZgI94f +mofMXzMmFP9ZdrMXLe7+QNfVigm+xOnMnSbsHz4VHeu1ZcKlgD/WG5oxPr/U +src+xQQFO22rPHTVouiJSkcmVF/LPXWyBb+faGeo5cyEwpU6V5fQ0s7yO9Nd +mLDJpPlFZCvGB1YM+w4PJqhcv0n2tlFJq3BNRbQnE3JzlZmt6Mlb9Q+EvZmw +3XpJ1bsd64/hIvUgXyYI3+y8Ld6B+Yknu2PJH9f/THNTBnrvg2qvyw+YYGow +oWHTSSV+omu5hh6hHaU+zqFZtun3jz9jAse4u9SrLqwX5zIXq18yQUuy/93u +buxXg/ef1XnNBH8lH6VGdE7aieKMKLSj+i/PHtwPPjlxuXdMcKdLuov0Yv2z +tsw+5gMTpITkN3xHL9w6FC3yiQkv2S62WfRRSV1Ofk3QF9y/f40xTPSPUybz +S9+YEKNz9crLfuyHx1eIXs5gQpmwrqnqAMaP/pXbBnOY8CPRSL0evbXogoLt +TyZU6jzccXXw//PV3Pm7mAmTGzllhYeoJHxD7HrtCibY3clQSUPb3f/Ck/6b +CVXvkvQthjEevPfu317HhNMlPc5MtPeAZEZUExMad9q+fDlCJRnfUu/Q2pmg +sUbsl+oo9vseR7TudzOBq1RSsAHt6Ccw97cf3+/raus5hvFHg+u9ywgTovz4 +v4mMU0nJvLFu9wQTPgsyRdPR4iIcnebTTGBzUQiwmsB426HuWspigmNn7vI5 +9HzMipk9i0zYmBAT8IqO5znp6aXkZbPQS+1Yo86gkiSd7t6NXLOw4vjltGY0 +zxdh41C+WVCqcjxxY5JKtHboJvMJzsKFz98oElP4fC6I5yZtFi5pn/mdhSZG +i5YMkVnQq7sWfnwa8++p1EgHCXz+cdL1H9rUsai1Yf0sdPLUHImawfkEHqYa +SM+C/J61e/cz8fwu2EPO1llQflij3IW+1bPOQWHnLJhqsnbdnsV63yHU953i +LHh+eKSzkUUlHtF9ISK7ZmGO5+XJAvThdKnoQI1ZeJJEu+c4h/erwP79IsxC +RC/Pd66/GD/af0a7ac9CG9NzKg6tvcbmZc+hWbitYK+hN4/9/b19dyyMZkGh +qyJ4GC2u8uBsqcksaJh9HwtawPpqp6nOHotZkKnbZLVjkUrMr3+R+GwzC7gb +lZVo5bW5I1J2sxB14Jmx2z+M9yLPU0PsZ4Fe+rKVskQlT50OXuY+i+sXsflK +Kvo79/iO6xdm4dAK3TXmbDSyeeJd56jbLDDOzJYw0cOU2w/trszC8X/q/mHL +aGTFqQiFP9dmgWPTKgP15TTCWy7wW/smvn/r3bWtaFAfd/p+exbunH4y78NO +I/QXZnNb789C+PrdfZIcNHLlp4X/m6BZSP9+szkPvRgjyCv4ZBZSbpxpseek +EXbhl/f9QvB9hDHAyUUjW6aXsU2H4f60bmD7gP4oct79TAQ+37CwUZ+bRuLN +h9obo2fh3/Ats1H041shBw1iZ+FxYHJwMA+NlDn6x2bHz0K01ZM6eV4aWVn7 +e5n851lwTpTaUoOefvbU8r9UfN525t4VPhoRcG6PW5U+Cz+0T9NF+NESVZP3 +smbhjLrwmQy07bkbu+fILIyJ3B2wXUEjawXnvc4XzsKyXV8uL6FDSxy/tpXO +Avfkm5X/raQRK6OaYePKWUiL0U/RFqARdZNjEvl/8DzHZZ0eQB+4v1pPuWEW +HKxm1gUK0oha5JpLsS2z4Eub7ZcVopHmA7dCRDtnQU2lIKMK/UT8RGpg7yz8 +ErMLd6fQyNU/v34tDM7Cqg1ld1dTcT14+3tcxmZB9SO3Tzqa/3TOTCdjFpgC +Yr7HaDRic92F3Yw5C/Ep7I//oV+MrVxZ+HcWOKeLPkavopF6s6/UXUuzsFfp +zG/t1TRSq3Vt1Ud2FihX9ywfROsfuUwV52HBBjnNA0HCNFLCm73i0QoW1Cfd +Cdopgvu16My+JMQCn5T4rmr0pbQXTLfVLOCN+KF1RZRGirOP9nevYUFedcoX +0TU00hGa++foOhZYfw3bnoVeVjqWWbSBBaYfL36xE6ORpt/M6N2bWXBxtbIW +uziezx2T/vHbWcBxYrwzFm1lNesgIc+CzsHIQH0JGtlQsVYzWJkFwRKH9o+j +yaK3BJsaC9rtRpc9W0sj4idlpy/tZcF2seAqlXU00u+gVdpzgAX3U+U+NqGf +XWt6ba7DgkMhNcE+kjTixst1oVifBcelvX2l1uP5u9mppmbMgrO/t98sRE/u +8+VMMGOB4VLv/XNSNFKTtFApYcWCSIn4iJUbaIRD7uLLYFt8/twn9wu6THLo +GNspFghXnRoz30gjKm33Jd0dWbCoYb35L7qMnOzqOYfj0TlzMXITjVzfGBRt +7sICHtugXE1pGhmyXney2J0FtOGytQPoJ2kKa9U8WVB+YnNAkAyNfA1sbYy/ +wQLurTH/5DbTyLZNqs8lfFmw9H2/Xy16b6W5YbA/rueN5ULXtuB6/zHlYHvA +grCe4fi1W2nE3lM789Ij3L9TCyb5aPXlmpd6nuL8z6hxOm2jkfSvp2XMX7Jg +vcO7Av7tNGJYld1cFM6Cg7/gSTL6wWPn4N1RLChaJXDWXJZGwuV9D8THsEAi +iWL4F00ZWT0t/oEF2iuN9kTtoJFgpmbso0QWTMTm79beietxf53VUjIL5OiX +DwyhqypzeS99Y8GbE2csguXwe///h7QfLPA/+8pTSZ5GGJrJF47m4Pj9hd43 +onVKdqwrymfBqm2V7T4KGE/Sf1XtKmZB6+/aTRsVaeSIWpzfx3IW6DFkPEvQ +I27VSuK/WbCLo7juohKNhPnZ9z+sZYHIne/7aco04v3w8qt/jSxgDfz9no5W +ThY3cmtjgf2n5xonVGjkNo/bsu4uFtgc9i9nV8X7lByQZtaP49WpcvqI1ibe +FwqHWWBA9RQy3kUj743sN+6awPuz82bhNNrhglnLhykWHBMZuBe+G+cn5xAi +xmLBiMHXo/vVaEQ4NvHwwwUW7NAf3NmPrmrT4vvHNgczT+6ufqhOI8979he7 +cs7BRFQwj6IGjZwhGXe7eOeAZ5aTpxEt4F1y0ExgDtqEx2k399BIpYQfdyF1 +DuJ89WQ37aWRe7HzZaoic7AuTcykDF0vZvzkg/gc3FZzuO22D/fj2jNLsfVz +EP5oCxEGnC9pXf9w0xwMqzjzZaN1RrVHF7fMgXXa9lP2+zF+Mbt+uO6Yg+PP +XQt4D2C8aSh70KUwB9tNdysnox/dFbY1U50DK6+AZAtNGrGcaZEvVJ+DDQ9P +qy2ib4oq8uyCOVBeVVoZo0Uj1Z1y3R+05oASluOmr00jZntGc8QOzcHdqIOS +DPSsyM3Ih4ZzwJd6sjn0II3ssVvw/XdkDrKPUf/bp0Mj5+d9zriZz4HGxuNX ++9AnatYYd1vPQeRzLcuHujSS8Ktf/eiJOSjZVaKtdAjjxa/5rUWn5+Bf+Ni+ +ZnTpN1eJ3U5zsFUv7aCfHo18c7Smxp+fg2+Vm6y36NPIQFYVv4TbHFSma1yr +QkuFDfEEX54DoReL768a0Mh/1dm8bNfm4CnjQsdaQxrZqW0v4O4zB3rHH0oX +okOL6MK9fnPg5XTC64IRjTB3+my0uDcHgm/7GmiHaeSviaRySeAcxIZu0s5E +X1g+fkj9Ma5fx9rs08YYzyhspxOfz0EVT60m3xEamTK8cGtd2BxoxurVfUGH ++etFP3kzB4n6fpetTWgk9k5S8fLoOXB74LN+mSnGz1Upk5ffz8F95v6mD2hD +tvMbBj7i72UqI4+Y0YivAN3COmkOuD5vvsRCd3JYPSlPmQNn6SNH3h7F+B/7 +o3Lv9zkQX6+/55A5ntf07dTkzDkAVVEVOpoyV2CzgcyB0VKWepgFjahuffMh +pGAOztM0jPZborlL5rlK58CD/8WFQfTcYbuj1379/3z+CntiRSM3Mr1SRqrn +YG7FQPVua1wfru3CJ+rngN+gV6QL/W/w4a3fzXPAqCt2fmBDI7Ki38Y1O+bg +3P8oOO+4mv8vjt+dMqL7+VyKMltEQgPl806JpJJSKUmUNEhDooiSSiFlN6lI +W4gkvRtktXzbEi2aIkJ3/s7vz+fj3vse57zO65z3P9f0ylstR/Bv02f7H/dO +Uthwm24H8K+VD7tUB6B+HMcLw3ZDPzpd7HxrZJKK1Y7WXebExeaDHV+n/Zyk +bnpz3/0HLDVXNyB0YpKipSV4hezhYpeqbqnxyUmK5TNNXtmZi3sv/rztKob8 +Hj/9Xy3wY7WTG1sZfEp77/itwL0Qv/WJg6ZSfGpVtavPfBcuVvfZd/35VD6l +t7lj+2vgf56DZpoz+dS9mJ2U7z4uPtRsInWH4FPX1rSvU9jPxcU7Lr8h5PnU +xX53oyrgxxGf4yMV+dSTjaxd3q7QX2dt2c9fyKem/SwMJt24uPJq97pDKnzq +89UjOS+AdxVVyn9ZyqeMWzcNuB+A/dkMmrUmn+p2XL1qljsXH19WPPpyNZ+a +8W599DNgmYqJHj09PlX03mV0/0EuznNu/Zyjz6f0pbP2TPeAfN327VMy5FMD +6rM+FQPnK378cXkTnzrRlnpwryf0H6+lbPZWPrW13JYu48XFVxYELgyy4FPm +0Xr3HgJHNDZtGt7Bpwx7Njs4eUN8Zjn57bHjUw6BkQpSh7h4tZ/yvUZHPnVg +fPJbIfClCOM+4718Sop1p9LhMPSzjw3qT1351K5dYdksHy6eSe8+tsyDT4nS +klPzgZeci6lLOcSnzp3/c9v+CBfL//m6XM6PT3W+vPSA4cvFnzqlr0UE8qmH +TO+6XGDDahmpyRNwv4kL/2z9uHiTDu2MdyjcZ9s/Tbo/FyuV0lhfwvmUoDQv +IAf4cvuiOOsoPtX0p/DVzgDwszknlWti+RS/kKVCOwr6FCpXr7vMpxpScuKz +gX/LrPHOv8qn/I5mTdsZCH79skxx0S0+FTckSpAAexe0t11N4VOpj/LVso9x +caRpSrJ0Op+6eb7srU0QzA/EIu+T9/iU0pLlJyTAmReDjX/mgB7W0nSzj4M+ +dCtU3Ar5VHv4WvrOE1zcHyPNbX/Ep449/9gmAZaW9pI2L+FTrcmDZdnBXMxe +KpSuKONTuMetcGcIzIse/xHalXzqhYl1Ie0k9H9DqaX3X/Gp7xGPynKAfy3N +N1V8x6dMnGLbbE/Beild/pfrQc/nP9EYoVwcOqsgi93Ep6reZuvkAVcKtQeO +t/Gp0U9/jtufhng1Ra/63smnGOHVb5lnuLh1ekXkvm4+tfgET70AePO88W8t +/XxqytmxKw5hsJ7/amuzIT61fN+OGZxw8N+IxDfl3/lUeovh1QfAM6qR2Zpf +fGp6BlZ3Ogv1m7q2Lesvnxq80PhuSgTMY1FJRxSFfGqj/bHgR8AbvocS8TQB +9azmkd7ecxBPil/FYQuohtuxzGmRXPxkYGFosLSAOp1L73wCHGc/3eTHdAEV +mc+r3B8F8xL/wxw3OQGl6lP3WDYa+vW66L/tPAEVX7zsSSnww3CTHou5AsrH +XOuV+3nwD7SwvWq+gJoj6u7hxsD81KHZqbdEQOVcQtMxcOKzqOE8NQHVXW+5 +yTsW5gnTjVKLlwsomWi5mDkXuHjvdz/NG1oCyjIypqsa2GSWlut0HQHle72M +8r0I8/echMywdQLqw7mcfMVLMD8fLPj1dwOcf7H9srfA5h5JFoeMBJSz/qvH +gXFc3HzySHHPZgHVmvbPfPFlLk6S2bjMfpuAYi4c/1UPfNNfNa92u4B6deHx +vZB4iOdcXX2jnQLqxtNNHuoJXDzhFtn2dJeAKvLP1GsB3vpwRdiKPQKq6XIr +GX4F+tsBo7UZ+wRU6dcu2sqrMC98+SiSdxdQUSYvJjuBo07PaLjkJaDUzwXR +zl/jYtusnwXsIwJqZ/BMUvc6F7cVJyYHBwgoc2GUbh9wiczimz+DBBT9S5/7 +5RvQH5kpd9xPCihjscrdDTe5eL1k0bNPZwSUp+aO8WHgYMfXn63PwX7bPLbd +vAXxO5rBfXteQNlq+jwySYR+kl27E10SUIFFB5b+BmbbO9wtThBQE4U78m8n +cXFa21728hsCKpujgyyToV9G//VLTxJQ2+O4X4TAH16uGZO/LaDIZd8vZKeA +XgdWnIjLFFDDj16b2qdy8SszIVcqW0CdmXaXy0njYmezh89P5sPvZ0UPPwSu +QZ4Bv4sE1N70gEaX2/D+jdBd7/VEQHmne72UvQP14q81q6dUQM3+daSmDDjU +9fAfeyygIgIiW73SQb+FrOH6agGVIFM0IZ/BxWWFMmMmbwTU9Ju/Fr4GTiy7 +xnhRC/FlWe4OzOTiVZrlytofBBRNqyZjyV0uRk637HNb4DxsZ8EH4H+pGxIX +fxRQ99zl9565B/ezqBy99VlA6VGTHzSz/j/frd8u1yeg2vzpNl3AE9sqKqMH +BNS272t6Y+9zcdZWj030UdDv9Wun12dz//9/E21BPwVUnoO6xhCwxe/jwT8m +BNShhT/6b+TAe8lcVvMgX0C9ax3N25wL3/db8OuzGOLvoXz2D/Cip1U1dkwh +1V5982BmHhe/OyqbVy8lpMxazB1t8uFzukL65mlC6mGs8W5mARcrFEzeL58p +pORbT3sVAWe2VFfokkLqSiY72qWQi/veXx4qkBdSuQPNj2Y+4GK5b4FL1JSE +1OPLv7+XA9eeOO+TtkhIvYp31fUp4mKtrp53c1SF1PsutYtKD6E/Hri29vIy +IbXZw/hXLXCde+lT6ZVCyl/l2YGTj7iYWnvQNGyNkAqeemFA4zH4tebDYb6e +kJo9Awd1Al9LLUr1NxBSpUtsZ8cWw/z6OcRtxFBI/Weyo3r9Ey7uNFYzcDMR +Usj7Segw8L4l71S6tgqptxeiTBOfQj39F7zIzlJIfc14vdCsBPSftX1lg7WQ +6ss5MUUAPPzPebupvZAqT74tyn7GxcnyOKxyt5BSCkR0x1LQv0tkzXoXIZWs +5cCd+hz6k/J7pcduQsqj9ufqUuB1zzOiVngKqTObZfZ7lXGxbLAqO+uwkIpP +uZs29wXEt8TzykJ/IWXw4c3IO2D792d1Eo8JqeKewM0h5VzcIBM7TIQIqdGG +wkINDP70/trDi6eF1IeUE2qfgIsPlF6cEgHxtGjNv1AB7y+tmSfDooXU/L43 +RhsqYd4PzzklvCCk6Pt3fvsOfPZRekJgvJBa1hByM7WKiznzZJ//uCaklmoZ +OWyvhvvPYv3zTBRSdrE56vSXMI99v7G5P1VIDQ48lSoCXiHdl+2cIaQeWBz+ +ve8V3K9UsLAjC/L3qm6MWwP+5/Qn1yZPSOns+jRZDVxsOmRW/0BI3Z6VLBf4 +GuattlGxabGQiuTPXKf6BvK9b/ar6mfA8/WPtAFPGJ28TZULKfMLCx9Hv+Xi +kWbty8+qhJSiVfWU9e+4+Jif3VXt13CeIFWvEeC+o//yCt8LqWdci87k91Bf +6zQ/LmsUUnO11u+2rOViy3lyiveahdSe7p9DtDouTj/2xH9RB+RX+2hUEXBc +lvbn5C4hdRm9XuNaz8Xfp6Y7y/cKKXXi+xjZwMUnxeTElW9CSq16sKQGOLUr +I3XmiJBiu72IP97IxSLpA86xP0BvU31OLPsA/tTls2bKBOi3TnzkE7D98zal +s5NCKq/qSOCl/8Af6U+UaGIhRWO+Pm/YBPUiu3BNCENE3c+Qyv8F3Ga03Pkf +R0SVV6z6ktnMxUH08dSAqSJKN2DbQvsWmAfvR/z5IQuft9j5yrRy8bwk8b5D +hIgqY9k3PAc2NvDvH5wjohIVtm/waePi6WOTJw8oiignbaPShe3wniPua/Qu +FFHtfms2NwEXzLr+01lFRH35qdJzroOLNc063ncuFVG9jYqxaz9Cv1aOfrFL +U0StXD1v0wjwHc6zVy2rRVSnjvL01E4uDrAJ77fWE1H94vV9Vp9g/jwqUGjU +F1GSvP1vWV2gl0Y9dwtDEZXrnlr+BLi+3urtu00iat/28SrPz3De9t3GpltF +lM4F51bFL1z80fZI8ysLEbXEeGiyAbi/6M5JY2sRRSRdXXa2G+rfTsag0k5E +XX3u6q3bw8VNBWVctFtEKdQ5PB8C1lP9j/5ir4hqmTwxN6WXi6csc5HSdxNR +NM/X0VZ9XDxV7dSSZx4iys/URIrdz8WDMWiX3mER9bnqb8JT4NyXLzKL/UTU +IPuLpvdXeB8by8poHxNRw/qMj/O/Qb8K2nLuYTCc77rL1f+AZ3w4rbDqtIgK +M6I7Rw7A/F5V96rwrIji+fXprh+E+bl8S4xmtIg6ZT1jwRiwoS77YP4FuK98 +2Oz0IS5+kKbgtDxeRFVMbFSyG+bilz6pnrnXRJTJPJs1U0dgfpDPjluWKKKq +8dNd5cAHSKv67FQRtXFOwEX/US4ebc9WWZohojztoz+ofgc//Vx77X6WiPrw +RKDcCVyd3DBfPU9EdR2qi4ob4+Ifl95UZD2A/BaxBMY/oL5X1oeoFYuoifLb +IZPAuyb/bs96JqIY9VnT839CfA86bFArF1HjCor5+8ZhPhNM25RVJaJsP9P3 +zP4F+tVUcVN7Dee3d1B8Dzwc9jwl672IOlatPnL6N8yjx77+VGuE8+z1f6s9 +AfPvhWd77jeLqP+81z0dAs43sexX7xBRu9TCHqf+AX9QKY3I7hJRlk3mlTZ/ +uXhHIYGW9Yoo06K0Lul/oGcPPyL3G8SDdUqmHLi1ZYixfERErZAd3BQwycUZ +p69Mzf8hoqrI/jh1PhcPjEas0JwQURedjg53AYfea/YqnBRR5zSSd14RgL/q +3qrSEouoy2+c602FXNytPqT9kCGm3EKwvQRYUbqzco2UmAq+UPnzkYiL3fef +8yyeKqbcTTxueYqhH7ySaOjNFFPeP5/sWCABP6jYI/OMEFOl7Q8UWoDD+0sY ++vJiytbMYTyGRuDwKlXeC0UxZZ3wqN2QTuAD318Yo0Vi6qSkquEvsOLk1YuV +KmLqYFdMax6DwGHHq34ZLxNTzaGy3/czCezH3hNQoymmdNbsIBRYBN65OmTm +1jViqmab3dYG4KdJa16/1xNTf+cuijvHJvDVjuRESwMx1fD7cb8+h8CpkXXn +PxiKKbtlPLNfwEupT1d3mogpZ8IE35cicHrql+dtW8XUV7bppr1TCPzSZEzi +aCmmIm0XdfCkCVz933znz9awn1PzqVrg8wNRHfvsxZRlgNvqszIEdlIx9Pu6 +W0y5/Gr+u24qgR1XOqt4uogpfe2l738CG+ZO/hl1E1Prr7oVZk0jsDql2ufr +KaZ2+MRkOE8n8MM48ejEYTEVtyA1izeDwNe3XCNO+Iupp5yM57XAvbPY9uJj +Yur96eQvZ2VhvesuT8NCIB/fLxL6Mwmcf7ZSW+qMmOIVBtv/An4QtaEhJkJM +hai652bPIvDpHSORM8+LKZknNjP3yRG4PL5n99WLYkq+cvNZeS6BQ/i6lgoJ +Yqou12hKI7DWBqZz6nUxdbbTLCmKIPAyOcfYJUliyvjJfoRIAi/XsG29nyam +GBkXf/8FbjCeijQzxdQnmYanBTwCWxCXXz26D/exWXbBfTaBlXaKPdflQ3yH +0n3nzyFwTZXHclwkph7oGRxoBZbMG5pu8gT0dp/veUmewAoLrk17XyqmBu5/ +Dt2sAOeNPau+A0O+7o1lSIDTld+7tlWLKd+ZKzqezCVwZl74iz1vQI82KfOP +zCOwxmCFTn+tmIrpNTqqpgj3T02u9fogplZoLvr4BdjkxvLw8RYxdey+vtVN +JQKHJkXZHf8opvxfXmu1mk/gqcdebqV9EVPqf1cflllAYP8J/u7IPjFV/nA2 +WQUs009dnDEopti+m94HLyRwGpnTdXVUTHVl4oQ1iwhM7LK2UBwXU3pvY71G +gYVnLD9l/BFTr23zrO8uJrCOa3GMhkBMrXypvM15CYHNW1N2PZKIKau4SZs5 +ygR2LZq/WZ8loR6u1jjcCPy3ztKmeoqEGl5Wcf28CqwnZXJm23QJFfKntNFI +lcC56+TrmmZJqH+zFswTAdtt+rLOiSeh3op+BBarEfiRVFFNv4KE2rZuVY+P +OoErXDMDDs+XUDKm35zUlxJ4I9Vo+HexhFqfyx3qAf4dsk3ztJqEMvj27FzS +MgKbslYYSC+XUNSpL6ttNQic8SLWK15LQl3/E/lTdjnU37XQZ3N1JNTJlkfl +b4AVgxSXZq6TUJxMz5TwFQSutzr5bAUF5x3KvWCgCfHnFns9NZJQPzRDL/wF +rsvrMti4RUJ5S/qSH6wk8D9yhtb7bRJKq6/7hZcWgSnkuMnWSkKt8Dz+Q3kV +3H/xpxNfdkqoo0oFq74AT5RkN3o6wH6XzkXcWk3gk6IO04k9EurPVuagzRqo +l+GzvaH7JdTGHjUnWW3Q2+nyFJmDEqq6n9/9Bvgovh181VtCZX8LOXZWh8C2 +ORtPLPCVUA0nihQpXdDPppJbOUcllPzq1KZJ4H9X533SOSGhEjNNkh7pEdg3 +I9yw8pSE0j2YG+CzlsAjJ9ivzcMlVOesJqel6yCeS0qOtEdKKK91FXb9wAce +PF7vFgvnO3FsX9p6qFdNOfWfcRLK6RD/pKM+gS8+6Nc7eVVCReeaZ/MM4Pxm +m72kb0mo0KaAb43AuXIW+GqKhFod5q99YQOBjebP0luULqHOW5tf2UIRmBNz +70P+PQl16hubxUIEPuynFrc+V0KpdqWdLQdW+pV95HWhhPJtW8gLNoR60jAJ +2PlYQlkExT7V2UhgqY2zEntKQG97+7zGgQW2i/t9XkgopLN8Zb4Rga0vJ+wQ +VUooy2RPtqcxgXcpHO89XyOhrPTThpU3EXjKvOHrc94DP2vs6QZeW0U7crcB +8l/OGE42IXCJQaPXmmYJ1f5bh+WwmcCPy/xjKtsl1HuW3wreFoj/UUnd9i7Q +w60nHh+AX9yM0fncI6EELlOLL5pCfPdpVh76JqE6pvhyzbaCn0gz/ITDEsrI +YOSMlBmBA98qmMT8kFDp+afp1cBaPXEbFCYklPH0VfGntxGYfznY8f6khHom +w1pjYA7rzx1P0hNLqMO7+F8ngVu6I+iudBr6kDsnp9iCwG0DY69ymDSUWbLv +tL8lgVk1lSm/2DTkot15YOV2Ag8ulIleP4WGMlqi9owCf0trjAiXoSHrnd7u +2VYEjhlecvXdNBqa4Xn+jPsOAqvkyD7hytJQcd3X3CXWBC6MTh52nEVDchsi +BruB2as7VmVwaWh1gIduqg2BPa0bY0dIGhIsv35t907w+xsXJ9fMoaEgdTkp +BVsCyxcpHj+pQENflLuiWoFjLM9PfTWPhix7xXOv2oF+F30pnDGfhqYuDsI7 +7EEfn5Z62C2kIcN75oEzd8H6qwPXpC2moVOrww3qgB06auUGlWlocew8XqwD +gfsjDVir1GgoP1CRttWRwNd+NUwJXkpDr0uiBVK7CUxvSVhQrUFDCxTdprwC +zhy4bDZdk4Z2eTxUOetE4I6vLdG2WjTkdjDIduMeiE/s4Y+pq2lIo//JdZoz +gfVuuKJBbRq6l3N06AWwTU3101V6NNQa9dji5F7wl45bxiHraGiaWXD1ehcC +eyeM977Up6HAirdmfOA3D1uvyVI05PT8Xt/TfQRWptk67TKkoT3TeZeO7Sfw +SoPjuulGEJ9z8mY6rgReoWWuPLqJhoKFj+dMAFtnfFLR3UJDpNHY34duBF7o +rKN/ZisN7Vv5ZsDvAIFna+x3e7cN1kvcPKzlTuBDLT53SEsa4jselvwAPrrs +4C9nKxo6aWaoXHgQ6mfSzj7bGs5rXL3bxwP8coZZ4++dNERbKMhc4UngYAPz +PZQ9DY28GKR9Bw6y85REO9DQDkHCoTwvqJeV+Y+adtPQ6CPRsLc39N+kJafm +O9PQwXdLQzQOwfp+7Y6eLjTUOX++0gjwxug288f7acjiSldjzmECb3+23IZ2 +gIaqpx667uVD4CVf+g6bHaShF551h5cdIfBQs3TKNU8aOnuNYz8MXByU1d3t +TUN3jspb5/gSeM2992uX+9BQ15jMXi8/yBcKuxvkC+cZ7Tq1zJ/A2qrNqtX+ +NFS/62bBMLCDfmOZbCANhShtGM8JgPnJNeygYxDoT63RxPso3D/it+q9EzR0 +wdU2TyMQ/C5itXA8hIZyKxqVR4H3mpv1bwilIWfNzYV5xwis+2pz7/kzEP+U +Z9sOBxE44OOaPy3h8H3aSsGK4wTWPK6ktPgcDamZ5pSOAU+5ONPRJ4qGNnuv +vFh4gsCiKbPzSs/T0EbnKj/fYOgPHQbElAs0lDbnoMeqEALf/BMXZ3OJhpbG +LfL7BXzGct6i25ehfl/8iX10Eua9juHXowk0JEoeKDl6isBxl6ZGrLtGQ6fV +hf90Qgn8yy3SNvIGDfk4aW/9B5xu52XQdIuGTHRv5JWcJnC2c9Xahck0lPRY +bXHwGQJvCU40O5wK328bytYPA71lSfxKb9NQYlqPsRjY56ugYEoGDRnNJH6W +hxPYSzeJYXuXhoaXhhecOUtgnDzimZ4F5/m9+rRRBIHvKU4O/MimIeWApfvZ +5wg8+bw2ZEMe/L7A074GOCg8UCW2gIbC8/85R0eCfx2X9Lc/AH8JbjtuFkVg +l+yAUtVHkJ/5M+5OjybwrYU9d48Ww/p3k/vqgftHrLOqntLQR6UY7fjzBN4w +t6V8VikNdVzpuGETQ+CfZQGjzmU05DAnbsbsWOhvX9dr5ZfTUGpJwbV2YJNs +3RhhBQ1tPW+glXSBwLsVAwRbq2lofrJB156LEE870Zmbr2hoFedR8sJLsL/v +Z6WB1zT0pCPDpw/4ZITKB513NCReSdjciyPwnYKuxIhaGnq3gGPmeRn8ajoR +0lRPQz2Vp2yWx4N+yz74Lf5AQ2u0wo78AF7Uo3Lar4mGjCOJ1IcJBE5MmpdR +0QL12732S+AVAjvPwl0z28H/nP6sXneVwNIHFFfu/UhDL+UtbomAvSrRjYJP +sJ7uJm7FNQJHW+rMlnyG/Vo+p5y9DvnQlcmz6KGhTXMXGWy5QeD5Wa93pfTR +kLvazO9Tb8J7oO6k4vevcL/F+Q/qgU93aP8zGKQh5ipaVMIt6H8i4eCFYdBL +iIyvXSKBs7w+j38apaHepY3ec5NgPrEflFvxg4beuNsHfwZeJlTZemqchpbs +yUhKT4Z6vJBxo+43Dd1YV9LgnkLgaVsOi5X+Qj0uTZytkQr1eSAu2GeShoqc +LHx/AJuqzJ6JBTSUzmz99CgN9FEz4/lMMQ0RFmudjt8mcMT58FAXGh099Dk+ +ZnCHwKuLzjgUMegoNCnxCiMd/CWcNGey6eiddMa2GmC+kZmdjRQdKX2/Njs2 +A+Zlfc3jmdJ0tPhM0MT2TAI/e1xb9GcqHU0XbvtK3oV4Clextsygozk35wx1 +AEc4eR26OZOOOhI+09LuEVisGv59SI6O5qnfXeqWRWD9vHOR+iQdLbl+xH3p +fegfVJjexdl0tEXR6MkYsN6aMPoXedhPuFDhcTaBt3XH92jNo6OPR2fFncgh +cHcK/hiuREfna0l5lAv1/2r2aPMCOsrfvPoxO4/Afx5n8NQWw3pLD7u+A7Z+ +429/QpmOdj5/q3I5H/rn3stF71XpSNvEXGhbQOAZn6SV5y+lo2uz+H3zCgl8 +7s5gga8GHcV7NH/pAe4jDayrV9CR863esawHUI/JM2Vna0H8fqrJ+RTBeynj +SK/HajoSlt3frP2QwDMTPBqea9PRL0vPOAHwnlapFlk9Our7d3ik4hGBL3y2 ++71vHR0lTH3uGPUY5vl5B5YV69PRqs6dXRbF8L6hUcHSFB1pYhRAPgE9iL/3 +7jaEeM04o9gJHHApzK3QiI7sleZ23HlK4Hh1Do1lQkcyW7nZHiWgz83nHtpt +oaPvw4curHwG/dBN9nTOVjpS2at59i9wEy3fTbKNjsTM3RdflML8eeuwq7Ul +rK/zLyfiOej9oVPIPSs6irGd8mlbGdRDfWSewJqOHryKW0i8AP88OvnX0paO +1gxePf4RuEuj3DHDno5mLZrXf6cc7h/a3/bPgY5KWlRdPTHwvyAfcyc6ajtU +9kergsDhyufm33GmIz/L7qRJYN/r8oN/XOiI3n/dtqKSwLc/U+/NXOnI+Gb/ +4ugq6DeX2W/SDtDRtrY6llU19FejY58nDtLRSVn7yTkvCSx74basmRcdvc2L +oHcDz5xyeVfaIToyWbxb8f4r8JPtO8omfOgoqPvzNt8aAkeyxteZ+dGRlyMZ +t/Y1gWnVIR/SAuhoA5v+jf6GwEwtSfifQDq6ZXPP6i1w8FiE5bbjdOSDpzXE +v4X33V1F7TvBdLS1Qnuf4zvoT6IPa/6dpKOaBpUpS95DPlOKLCxO0xHHs69i +BLhB501YRhgdJUn7X3pcC/Pl0cWN/LN05L289cipOgJbSdettYqko9s25IHN +9aC3u83P70XT0VTaKp+ZDTCPMDY7iGPoKP2BVmw78K8PK+R2XoR6GJlTdqcR +3pONN/ty4ujomM4I3fsDfL/kSiMjgY7aiUIH7f8IvGOLRvuuq3QUJ+tRIwbe +ZXBIUHgd9Fcwd8vrJgK3OrjqTblFR6dD33debob5wFUpzjmJjqZNPR3h2ELg +0vlZjCcpUG+f121UboX+vHNG3IzbdHQqhs4dA06pd9I7kE5Huqltf5+2EdjC +MV1QlklHZG71j7B2eM+8Gm4ns+ho0PitaFsHgd17jf47lE1HlHhUafZHmGfO +Pv32MpeOXhxaY9MNfOOU7WylAjoKW3onOaeTwJuzl+4LfEBHFrXrBUc/gf93 +G76ue0hHyj/Yh1AX+Kk4y1S1mI4OrWD/kvkMeujx/hr6lI6klDdcaAYO8LqV +0vaMjkL8Hq9P+0Lg0JMb/LTKQH/FPmLPbthf5OZyvhzWi/dt1u6B99sHRe/e +CjqyyyrHtF4Cu331i9evpiO15D34HfA0Zb+mq6/g+zzrpmt98PsQtVVjr+lo +47PbQpd+AnM/3cnZ8g7qaZXl2uVfCdyz9ju6U0tHOap7z/8Djo2cPS6op6Pl +Ju1jVd/g87Jl5Ts/0FHBunKPSwMwL7XoZhU00VHAQ94/h0ECv3q/JU+6lY7W +7e27pTIE74c0r7r97aDncY0d48AW2/OmvvgI+ps3ofhiGNb7ouA2p4uOjiYY +iqNHYB6zrejw+0JH3Gmzf+0chfn3WZ53bQ8dSW84IVz4ncA/iFEFtX46Guj2 +UfgOvM8/tj/sGx29eiDc9myMwM/7brz/NEhHhz2Ur5z7AfufmN+gNwL+9vL7 +2I6fkH+T5T8SvoO/RTjtnT8O89neeo2xH3QU5RHYPwzs0C13busvOjqyakPo +01/grz0sYeYEHZWllyyP+A3z1Jmii/R/4F9hoz+sJmD+6VLb4MSno0sJXa+V +/hD41NyjMiVCOhpJvfx4GPj27oxfhATifWTqk6d/Qf9vqiaP0BnIqX57bcQ/ +An85/2VeLZOBbKMP/NsxSWCqVspJncNA/7ys9BbwYf8XJs8ipjCQuwnvwigw +/1L2mh4ZBro0WPLnmQDeiwHo/YbpDHRf1fBolJDAHnfIM4myDHSiqXCKrYjA +T6x0rf/NYqCIl9MfLBaD35YVbdxJwPcbdx/+Cbx20VXLIh4DaTXeQeUSeM/h +4eOy8gxkltKneoFGYn5HVYX3XAbyJ1SXONJJXPN4qepbRQbKm+mjrc4gcciN +5dmqCxjopm+F419g79r2rRGLGCh89uLrL5kkLknTl+5dwkBT+258S2CROMhl +fz9SZaBTz1TN97FJnOHi+DlFnYGaQ5tqVnJIrDWh9Ve4jIEOKmTYSYCH/X5r +OK5gIB2/RGGtFIm/ry48XbKSgUqOlBcnTSFx5hW/8dmrGUifTp7zkibxqV9b +wgK1Gchj5m3PdTIk1n2AVjbrMtC+2IOu0lNJrL3KXbh6HQNRbkf824B9O998 +jddnIIvYsuv3ppH455zAsZ8bGOjab5vGwOkkPm99nGdlyEDv49cvMJlB4nj+ +F8dCIwZSdQo8S8qSuPXUs3JZEwY6ZCYj7gOutOZu9NnCQL9shbGPZpJYMPav +p24rA/WdsNI6O4vE694H3VlhzkA1D2cMW8uRuG9/2umLlgxUJdF7tphL4lLt +kye/WzHQhz3NKb+Agyrn3bSwYaAdHwZuVBEk7r0Q+1++LQPZOwVlJZAknlTs +0JDdxUDerOja/TwSOwjlMn0cGUi6bv6UNbNJXPHIWL/BiYFkKw3tWXNIvKs5 +ZHzlXgYaGfxV1gTcMPa65vI+Bhrcvn5tpjyJlW7oPB93hf2Zim+PKsB5XP+r +t3ZnIOHMlCMmc0mcNpbLeOzBQGlRVRqz55G4u6nBhufNQPtD4sXfgM8/3Pbq +2GEGui2R/fpUkcRo+Qq79iMMZKJq2ButRGLZb2FS6/0ZaLHMsj8O80m8Pcq+ +NekoA4XgD0oaC0Bfz56/Eh9joEWuBk4iYBmNsua9Jxiod+aRB3ULSfwpxp1V +FcJAkl6fuWmLSBwT+2aHcijoVWiY6LuYxD96f+DIMwx05sTwSqMlJN6/ddhi +KJyBhk77dhLKEK8Tr4TbzjGQ3+r25K/AZ1fHvS2IYqB7T1SPPlUhsb227VO5 +GAaia+/bd16VxDRjlVdHLzCQZ9MFt91qJP6mPON326X/n7fg1Ap1Ek/LnLtR +P56BsHJtHm0piVMv7C5MvcJAK1YNj38AZhZ0bWBeZ6DLpKxF5jK4z8eC0QM3 +GUiXvqH8mAbk99un528T4bxqJ022LifxSE5g7ooUBlqIG3vnrSDxHmbU8/g0 +qFcxuj4G/Pfd/NE/dxjId17D3kpNEl/8arbBMRPq0/osuroS8qOjUFh+j4E2 +f96nc1CLxI7pNzYuyWagk6IjG9evIvE2XvNEVC7od/Sh64zVJFYL+fRmNJ+B +FoytTO4Gdqouf7HjAQONbhodfrSGxJo90U1PHjKQnM737VHaJG57azpVsZiB +Atlr3zvqkHgwcPr+sKcM9FHwwUlTl8TJPT0fvz1jIP6+CjZTj8QbprUdNS9j +oIkI6eoW4BcT/JUPy6EeHhTeyF5L4svpu6bLV0I+tJ+Hn1pH4k5FxtTQagba +6KIVsWM9icN8GEv7XzFQSiSZrKJPYu7dg55mb+C+wkPv+MDM/za+f/COgZ6S +aGa9AYlXyKRazqljwHv1slf6BvCnfTG/TzUwkOXVA5+OUZCfP2Rp/wcGWlr4 +0m0bInFz77b0bc0MtLPtIWuhIYl3bN2Q97AV/Mdb59kE8Hnzf20KHQz09v2O +c283Qj0Q0SphnaAnxxkeqUYk3v1GfHWwi4EKTh7eF2AM+r7hrmrVzUB114P8 +TDfB/R40djztZaB5cqtuKpmQ+N0Ws8IFX+H+O9NafgEvvdJzL2qAgXbXvV76 +ZjOJpWszK34Mwf0GCq+mbCHxlZXpIvtRqAfuntkBpnAe8YBjxRj0hxfNBaZb +Sdx4PKJTfZyBrPcoOs83A/8cPBca/5uBkt3WKU8A868KjAV/GKhj6yrGu20k +bnn/U8N1koG+Rcj8STMHPX06plsrAL+Le007ZgH5m5fkqiNmoGNffReZW8Ln +Xd6PUmlM1MWa5rh4O4nfnvqnIs1kIimvpOxJ4F27zJ/7sZlI5ZbarAYrEhfW +HQ/olGIigiy+eHcHiXkbYy1NZJjozN6ti09aQ30rJJgXTmMiXeZwnbUN7FeZ +dFhBlokSI5IvL91J4pd3nxSdncVEP3zdvei2JHbRG5cf4zJRnI3F7jZgvWGH +jF08JjpWaudaYEfich3ajuo5TJSsEx1+zp7Eyld/LNKcy0RZdgMlTrtIvDBi +3exbirB/0QkpbQfIR+TICvYCJrrYucl7miOJNRaSnkcWMRF1yHKgF9i5o/L1 +xyVMxBYnBZfuBt7AMtusykT0pWtUEpxI/OXjtx9F6kxkfFFhwHMP7Lcp5JmS +BhPVvdlZsdGZxLNnNtw7v4KJ0k8OP1DYS+LbzT+f/lnJROe2dZeMA9do/Rjd +t5qJmB/129+6kHi0ut2kXpuJRuqZM9P3kXj5qrKq9XpMVPTf+j3B+0m8YMF9 +16x1TFQeN1Rl7Qr9a22uOmnARGcfkoYabiSesaxZLoxiom1Dlc2sA6CPu6sW +jBky0fr+v2c+AW/a+5/VbmMmCrR9tqnYncTpM1/de2PCRFrjsgsvHSSx2E9+ +ka4pE+0+LOYe9CDxEpNOnGHGRJ1hMUqGniSeb654Vs4C9h98jhS8SFxnPux1 +ejvcd8+NE7+A387aGfR9BxO1pC5+/96bxBI3j/u7dzJRlLer9t1DoN+5upK3 +dkz08tze4tDDJL7PqT2+1oGJ1hQpWu7yIfFN8Vr5rN1MZP3otmTVERL7f479 +xHNmIrHNeM00XxIXRTa9inCBfDqRWV+Bh9vnN//ez0Q9N2emYT8SX3h+corr +ASZyaB0suOVPYkV50d7/DsL+/XdbAwKg/3bmdm30YqLxq+azLY9Cv/2XeKbo +EBNNe957WD2QxAMu7aaLjjBR2HKfLuYx8OeZAbrxfkxUUzHh1gX8T3xiK+Mo +E23dcZJdEgTnWSEK8zvGRC+eTS1LOE5imzvS3T3HmehO293YwydIHL23wNU6 +hIl8Y2wCTINBz/6i6dWnmOjRI4WAJSGw3xDj05ozoH89SYwEOKq1rjEznImC +BVLPO06SWMryyAjvHBPJfF3HKj5F4uNefzSioiDe3cmul0NJfNf0SMLkeSY6 +0KHzyfs0iXVkRud7XWCiU2VTD285A/wh+EPnJSaaGbxo9pIwEre/WZZjEc9E +fawzbRLgNYrTsvEVYIvlRR/DScwSLqtfdZ2Jflksz3hylsQRt24pZN6E+4rO +5SdEkLhK0z12dhITfbRGjT7nSMz5m7bkfAoT1Vo4T9sWCfnUtOsVpjGR38ig +s1oU5Hvezdc+6Uw0Z/nXd6xoEnuyApt6MplInuuwvRvYS0vEsc1iooY7ZqNl +52E+HDfY+yYb/KQX37kVQ+IttzZ/0c9jItPO8iPHYknMOKUeWVjARIY3Lexs +LpDY49+4zZIiJhpT8bfVugj9yf2h6Y1HoOcrqw/PuAT9edkJt2lPoL7Gr6YM +A/fk2madLmGiSuu0b6/jSGxsbS83UQr1X2dvevcyxCf2YrrHC9DT8ZdV4fEk +vvd2yu4uzESKPiO2Lgkkfh/Wst66iokWvv2PQV2B/VZIGb1+CX6UdaZm3lXw +j63ZvgavQb9LhRl8YA/7+pqit0yYh00T266BXj9FbFKrZaLTd3yyi6/DPOH6 +aSi5non29QZ8uHKDxPnH+p9wPzBR9m5nrv9NEj/MzsuNbmIitbXah6xukXhe +/KY3khZYL1P4WTMR4lHzfHpgO5y3odRrRhLMT98WnRj5CPU7EjRzFFicEDlj +fxcTaS5bV/cuGfq/H/9t+xfQTyU7MzsF+qlGTMH2XsjHcPeV6FTYz8f0eU0/ +5PNTU/LBNJifR41/bhhgouGWvvLNt0mc43jBoniIiQqIOQKVOzAvB6xqWj4K +9dgaYMlJh/ljwigsc4yJ9u+jl/UD96U12iuOg/9NVhm9zIB+bDBsd/U3+HNf +ZW9GJnz/Slro9L9MFOrNSj57F+ato/SGiEkmyu+86ON6D+bRIkVTsQD6R/hB +R+Ms8P/F7OFAMeir4PreJffB/+7UPB6jsZDw4aJQVjaJD804ev8gk4Wm9ss+ +6QNuN1N81c1mIeebblNe5kD9GTZMdZzCQiXqS/0zc0ks15l8okmGhXR/7v8b +kUdig6nX5Cyms5CdufzVA/mwX9Xr/2pkWSgzefu2zQUQf9GmF4ZyLMQynqmo +Vkji6Y8VP5QSLHQuY4+U9APovyPOsjqzWahceePUIeCk+/MCC+VZyHxlhdq7 +IhL3/97PWTaPheQ0e5xzH5LY7NMmnKnEQmcv5RReeAT1HPAhfcFCFmJWLJ7r +8xji3yj/IHExnEfbKnV7MdSLrMYAT4WFmveuM1j1BOZZc3nTeDUWelvS/5v7 +lMS/8n/+N30ZC/U/3fVqAnj57pdR0ctZSLM96UFrCfT7Mxnu7JUstODG4+KS +ZyQ+uj31yJlVLGRxNLs5sRTmDdHLdNEaFkoZPzPj1HM4T4Ua/YQuC8Vc2eiy +twzm287WqD9rIR7d47UbX4BeL/au89dnob59N22Uy0F/C3bP/rGBheLS9Sek +MIlDO62UDhmy0AGt3oIhYDq32XLIiIXckxLO1lbA/DX7T467CQvVBNr4F1ZC +foxerurfwkIhOzVCEqpIvPr3jr59ZizkV78wNbCaxInnC/AXcxaac2p9566X +JL50aLhmz3YWchGFrjZ4ReIEqdn8zh0s5DE8kbGgBuq/ZqOd404WqhpIX8l6 +Df1rUejndjsWsrwR1/INmHupM97eAc6bWnnt3RsS+8R4+bbuhnjdRb4Fb0l8 +7YZ+sK0zC22ynXUg4R3ET39vYbMLC/nvXn/02HsSY8a3mTtdWei2+8sUx1oS +PznendR0APSkXtxD1ZF4kfZeGxsPFmqyIQyX1EP/rfPXbfJioaG0ryVTGkj8 +tVvDxOYw6PflavNR4Kuzkk43HYH8hzIEjY0kXsb68NXGH9aP3lVV/IHE1a6f +g5qPslB1JnU38T8Sd/Q06dgGsVDB1dL0003/f79ULWg9wUKHlJpK3ZpJHCxb +qmN/koWUpOK+b20hcf2a2qD2UBa6IP9n/cpWeD+6yXxzCGOhjwunZ5Bt4L+e +4Wc6z7LQyPePKgLgnzNMt+yJBD1beVR/aSfx4cXe679Es9AfxechrzpIPPeU +yGFfLAu9Vv9omfsR9Dg5/V7fRRaqN681iO8ksWpA/nz3yyzEcbtpEvQJ9vsw +Vj2YwEKrzU0893TB/CbuueZ9jYUcv3ZkGX+G+um9cXXsBgvN4+5hLPtC4rGj +iyr8Elno9NOWwFnd4Ke5cfJ/klnI4YUZ5x/wmvDfKcfTWKhsRnVhVw+JVQR7 +rER3WGjLNZPAl70kblLoXnkmk4W8jDtsc/tgvhiJMWBnsRCWObcjoR/mi9NH +jkVns1Dup+0eJ76S+PpQatf0PBb68tAw0eUbiXduWuYfXwDnj3Qe2DIAfpK/ +WHt2EQtN7HiwfeUgibduvbUk6RHokbehafYQiV+jNMOFT0DPjdP8JcDe5Sax +d0tAX9FLln8bhvf4vxSWxnMWSjaKZdSPQD9f/Cz7wQsW+jHF7FfxKMwbJ++f +0q1gocE+d0nKd9CLyanTZVUsdLx/UCVyDPL70rTQ6BULrZrb5uHzA+Jlojjj +7WsWOnNz7Wu7nyS2UpC5tf0d+EsguRGNk/jG1YU2rbUsZP3Gr1XtFzD3qP6e +BhbyzrePmvUb3ve/Sev+DywkY1RnwwceSSRveDezUMC9Dv3eCRJXBERM/d3K +QlHis+j9H9Dz98C84A4WEh9qcn78F/QQIjjJ/MRCc5UabqX8I3HAjSUnYz6z +UOza0J+RkyTeW8HM4fawEPf7wH5fPvSXE9lSSX0s9N6LGHcQwDxrvjRhyTcW +CuufkmQsBL+tuWKeN8hC43G1LitE8P4KEejojLDQsrseRnPEJH7OOmJZ/p2F +VPb2IYYE5mUR8/qWn1DPQmOHEeDcqW+mf/jFQitK4y+10Hi4t7nhoeMfFkr6 +3PQF03n4tfTy6P5/8PsCOYscBg8POYxd8BGAv/hZt15l8vCMM+qVkyIWCgpI +CTnN4uHMtaPKZ2lsNJUpMPBi87DT5m0lM5hslHf4yFxbDg+f8rMPuclmo2cy +HNJQioddohb7LJnCRkuXVy3VmMLDsY7llwtk2Ch7RcHu2dI8/L7aoG/ddDb6 +4dmYzZDhYeXbhQdeybKRHNIivwNH/acuv0OOjWbJtiS2T+Xhi8algk8EG9Wu +r9nwchoP/+4OnOE5m43qNKaJC6fzcG3KYas/8my02yy3PWkGDwf5P6oOm8dG +wcyCxihZHj63x+Gg7Hw20q2e+zVgJg9v2++nn7QQzieZ5LnM4uEL52cYqi9h +o4dqVq7mcjxs3YsCi1XYaMtTtbq1XLjvmbmdRups9FU1ykaF4GHVU4V+jcvY +6ODvwL9yJA8L/s1a57yCjRKThcUSYEfejlWjK9lInLkgYYTHw1dp4Y7Bq9lI +ED8U0z6bh2W/FT+W1mGjuyMut1/N4eFgiQTd0GOj5Rsu/vdQnoffnT0iUlnP +RkfJY4tuK8B+TxSGHxuwkSJzycWLc3lY79NMmU2IjUZvJfFC5kF8Nro5NG1k +I1P/gVIPRR6+obe0c/8mNjqvLHvKTomHdXl+l35tZqNG8zlOm+bzcJ6eZUD4 +VjY6EDN11+oFPKzDaDrPNWcjrdM/fBcu5OHWDrn/0i3ZSKax7p7sIh4uW6lk +vmYHG9Ur5/NFwIHHpkxW27DRavVrniOLeXhAta9lpx0bpUdd/NuxhIf7K6q+ +ft3FRgO/U26/Uebhn29K1IJ2s5HVwvqDT1V4uOBtW5K0MxuhahXze6qwv81q +o0QXNuq+lmdxTQ30JPo4d7krGz3d6XUoQp2H1+3rVyk/wEYt5e73A5by8Jwl ++1ytPNjI7Ho2w3UZDx8Zdm3q9WIj79vrj1tr8PBeN9qxwMNsNP/uoulGy3k4 +etPmbdK+bBRyxP3FqhUQz03bbJL82ehk3awLizR5uHLxokuagWy0/rL6cbmV +oL+7H4WVQWz0OLY4jKHFw/NuxCTbBrNR2XV8fxzY6K2x79BJNroSa/m9ZxUP +53IVgk6dZiOFLV7b/1vNw3JWSkVy4Wyknz23oWoNDw+6uc6/FwHxvXbw0CNt +qLd1kvL1UWz08+cutUwdHibK6VcazrPRtbt/add0eXjJt1OJbhfYaFma6d9z +ejyclR/dwr8E9VdnNzVoLQ8f42lviotnI4dFSw081vHwLeUr35SvspFt/OtY +h/Wgt8GSstLrbHSEt55vps/DpUdLaqxusRGRHR1hYMDDVG8meyAJ6tHs+QrN +DfC5VfyxU6ls9ErYMbGA4mGDb5cVyTtspF052iGHeHhr/ZO/ORlsdDNd+Ill +yMNf18/mGN0DPeTISv4AZ7tVbem4z0a/BlZsGNzIw8/O15f75rIRy3tf4kcj +0MuYhZd0ARstMC3i1Rnz8I7PNma3H7BR83WVQryJh79l/3Ze+wjO61fj/tCE +h3PuG95vLIZ4/EkyuLsZ4rnWUtWzhI1ExgVaN7fwsH7Zyg7Gc6ifMxzjWFMe +tkubrEh8wUZp/2UHhG7lYfcdZV1rKqDeXDOq/Mx4eGzrpZV1VWy0b79g5YFt +cF9O+BP3V2y0VfLk+S5zWF8615/+ho1cvHsOmFvAfTsV3RLfsdH77jBNQ0se +9p45EqNdx0ZJN2/ztLeDHvSXDtQ3sNHKRpN56lY8vEo4fNzzPzaSenMCKe7g +4Xu/jQ3ZLWwk/3JT+Cxr+Lx+y4a0Njaym1bYx7bhYZ7+VN/1H9no70CFKx/Y +bzy1veUTG13MCmeO7eTh9AKFIL8vbNSRKMK9tuBXupe2zehlo2qeXnKbHQ/X +Wc+yy+6H+j6y/katPei/5dF1kwGIJ3NmUeUuHva8dmFG7xAb7VrxYuiJAw+f +9S0oDR1lo5lWFhvzHHn407YVqfN+sNHZhtdP7+zmYS+uUknJOBsZEzoWN5wg +PsXx0nYT4EeRKYyLeyCfmmlxv/+yUcF1mZZwZ9DPSQeLeD4bbXoS9vr4Xh5W +z2zeuFLERl0Osh0+LuD/D5UP10nYKJL/VObAPh4uLt3T4M3goFlyUQ679/Pw +ydYrHlPZHLRmQcSbHa7gT6qda7OlOGjFvad2pm48vO/DFkNTGQ56oAEmewD8 +lTMWOjCNgx6t7W/UcYd+NNkzESnLQaEOY2XLD/Lww369dFU5DipS2vFmiQcP +/5jOjqohOChBnvd7ricPbyl1zHCfzUGR3UYbuF487G9g9U9KgYN2zey7J+MN +eh6eDM+ax0EXjCQrGYegnyz23Gw6n4Oy5qa0TwLHmxZvHFrIQWX6b27/PMzD +Vm/Gj8YsgfUtoqMHfXi4i1jTraHKQX8EX+O6j/Dwy8yLZ+vUOcjj19CTdl8e +bhfw9h7R4KD7X5PFjX6gj5RufzlNDloeM8XtrT/0i3lM/EgL1r+5ergygIfz +peOM7dZwUEid6uXSo5B/ZjKdr8NB1oOjto8CQT+5G/4mreUg17yL+nnHeNg0 +P1oZ6XPQwW65jXeDeHjyWXxs7wYOirYMd089zsMV5w9rRBpy0PWXA7k3ToAf +dWqxlxlz0Etim1x8MA/XH/vJqzfhoJpZxddjQnjYRr3Sxd+Ug+hXNQ0iToLf +vXraP3sbB206UcEIPcXDEvWhO88tOKgqLWAgKBTyred108WKg/KGrb77nYbf +f9z+hmPDQU6G+4hDZ3jYnFW4KteWg7pi8h3cw8Bvc5KbrXZx0NOnVIVLOA8r +fVhR9NeRg6xKlLbsPgv+cCrodfIeDtodZjNmGwF+9uLSHGMXDlKZNlRsdQ78 +8X70naH9sN6OgZRtkTw87BB84PIBDuLZ2t/bHAX5+3vcVc+Dg9rmGDVsjIb+ +kXsr6bMXB22980B+w3nIT/b4jMjDHPRcmBu+NoaHFVdcL13hy0HuOhtmaMeC +no4l32nx56CJvYdLVl4AfTcqVJ8K5CDRZZMIjYuwf8ySBarHOSilp95X7RL0 +G1F9cX0wB53y4YYuiYPzRK6KCjrFQaa7FPIWXObhuMsuVxaeAf1XjwrmxfNw +Q5Tfx7fhHFTces1LPoGHb/eecAo4B+cpVxKSV3j47fw4BaVoyF/OxTy5qzCP +VNbIvY6B39eNhcpe4+E3dromfhc5SGqPmf+069DPA34/mneZg8RXsyOlb/Dw +50eEc00CB2k94pVxbvKwbWmesd81DvLm3+CybvEwf3Wzm+JNqKf8dTH0RB5e +0ZhW+TqRg7wU2EskwE7mKo4BKRzUeZ7eJUzi4aOewZoLbnMQ22ptCT8Z8jf+ +mHqfDnqvePz4XwoPJz8Zjgm6y0EmOqf/+5MKfhq/ilC+D/mTuSM3kcbDHfvT +2hpzQC8pS/x/3Qa9kmbtp/I5yNdu1sTPOzyscn0LT+MB7J/ke+NHOvhbd/6l +9occdLzdwmksA/Q5kbApspiD9p4qMvqeycNmH6fraZdwULY402z0Lg+P3l7l +3lvKQYmNq46O3IN5ct+c/y6/AD367cPDWXCf9c3BqIKDBvZuWD58H/xlZ6jL +WBUHOc9vKB3KBj/7onE25RUHaWgv9B7K4WE37u9e8zccNG/5+g1DuTx8c8Xw +adE7iPc11VVDeaD/IDXHvDoOCmb82DyUz8MjGyv9nBo5aI90SuhQAXBvXc30 +Jg4y3rS+fagQ+kmpq8OLFg66aNNoM/wA/F3r1lKfdg6a0eExPlzEwweLI/QW +dIJ+Q2YUjTyE+qwwONvYxUH6/a8TRh9Bvv5rmx7ezUFNVXeuf38M9XX0UPOa +PvC/t5llY8U8fFpH7uPXrxz0pOAj++cTHm4p+KR0c5CD2pdbHBl/CnoP+5pm +NsJBt5hSol8lPGxvb+Qi/g7+8ks2d+IZzMvdMnsf/OSgoSq/k39LId9t1smu +v8EfqLW+k8/hPSBZIz/nLwflah+KFJSBf81/+d+7Schf0BwsegHrTZtbGyrk +oPIu47k0DH6aZs5eI+GgBiPhDUYFzBPYP2SALoXOn9uyll3Jw092ZqxKZkmh +kejVQqkqmP9s/6jukJJC4do13TLVME+Wnd4tJSOFogKmD01/ycOXLjs0PJ8m +hQ7qzCRnvYL8fr4V7icrhSYPt+8janjY+bl9oJqcFPpJ+v83+zUPP92ck9VF +SCFj1W8H5r7h4e/37itcnS2FRHcoxflveXj5dK/3ZgpSKPPCuT+L3oFeCzgv +GIpSKHbs5bjKe6iXuoSxkvlSaG+zlNyyWh6OeKTu4rtICi3YbmujWQf94OFn +OXVlKfQ1oLRkdT0PTyjXsrpVpZBwt+FGvQbwq8PSujeXSqE65fFR/UYeXszP +uW+1XAoF/Gx9bvgB+pP++90yK6VQR78w3+Q/mCcendletUoK6S73qjZr4uFd +X3vPhmhLIbs/GqLtzeCf+2T42npSSOy/bZdtC+xfPq1wbJ0UMvv0X5tjK/h9 +CuPefQMpVHuoNtiljYdf3Gd+3o+kkL6b0Ub3dh42jFe1VzKSQqVSSONQBw/P +556Ta98khSKSa9f6f+ThuT91ZlzZAvHw/+N5vBPmzX9WZpZmUoj5sbo89BPo +VfL9jYyFFCLVjfTOdYGe+5XPv9ouhZqeBDfFfuZhrcszYsOspdDu/qArCV8g +vr9x/QZbKWREbAq61c3DnVI7dwrspdChnKHQ2z0wL9b3zHvqKIV8eQE5Wb08 +vNMuTOXoHtjv5TC/oA/m6YdmfqtcpNDmZbsPP+mH+Z1pR/uxXwqpVNazy7/y +cMmh5w15ByBfHKuKV99A34uu9Hp5SKFpJ4bS6gbgPbf7j95SbylUc+duRssg +DwudBA0Dh6UQmhr3vmuIh1n+pTn3fKWQ58YHc/5HcXXHc/l9cYp89sRnJylR +siIl41BKSiFRURpSEhqySnylUiiiiIxKKCI0lOSUUplpiJSSUdJEQ8Lv/v68 +r+d57j3nvc59PvSpYtr3ZY+9ApQgo035yLfPqjh5doO2ZpASTPN/IPvzRRW1 +8h3ru0OUYMPp+ma5b6qYjD9KL+wj+w2bXKV+J/erH9VvNocTfZuyr/N+qOKp +u712mpGkf/l1ryX9qjjvzq7hnigl0BrVnTZ1gJwXFvot97ASLOyKPaU7qIrh +WaJp3keVoNAncvqcn8TfT7aemx6nBBUO4k6rX6qYURmx4fNxJbBx9sAlvwk/ +M0I9C08oga6Z+72Vf4gfXvnm7zipBPFPJb0eQ+S81IDZs1KUYEpPntG2v6rY +ZpOr+CtVCa7bsS4EDKvimsqJopvpSmDX4mIa/o/of2Bgx74sJbjiEzd4ZEQV +rzZbMuG8Eizruf0saZTcJ7dJvo7PUYII3e8vM8dU0ehGJv9RHsFbz1A+X06A +I43dYbH5ShD4Mm75dXkBljdNmOlYqARqUlbV3XECvPteoq5aTPz3s8KtfrwA +DWdZrGkrVQLcmCdqVRDg7pFDLVnXyX6bW/51KQpQ8SD7jNdNJfg7frXijwkC +fC74ka1zm+hzifGsESUB8pg2A/13lODq0uBDVKoAr1RPOXzzrhJ8kc4cU6EJ +sL7o4vqI+0qQ0rwufTJdgDvMv4QveqgET1KEG/QYAtzyjdLNqlGCR4c325kx +BZi7TDW+uY7kRZ3D6sUsAe76qvtfRqMSDCZ2x7mwBfjUZ3uZ11PiN67ex00c +AT70+2is90IJfu6ds3UnV4AmebeHfr9UAiqHyQrnCfDis3EKd18pwQ1WWWss +X4CsG8+dj75RAr07C2pTlQVoMHnp5xXvlMDf+877PBUB3vgaWSPrVALz9fqT +bqgKcIV84rcP3aTf3xcOPBAI0Nj2lFvJRyVYe2Q687lQgIzbOaywPsJvwOPb +70UCjPVop9h+VYIzkmMnfogFeABc7fg/lKDg44FjclIBLg6c8ax9gOSt7fUr +bJkAj07ec/7SLyX4Vag/NHGiAG13LSsPHFKCyhOjW3TVCH9pTeL5/4i/d8wY +MZ8kwOXvhPfYY0qgXHuvzF5dgOIYi+LX8hRQ03qSunayAOkD7h8vKlBAU9nj +vK8GqT/42JYgJQr8Vtv7NGyKAEsPftG1oVEguENP69hUAV5KSLLgMykgHIzO +ztAUoEyacaqDTYGB3wmLiqaR50VTTK7wKLDkhAsXtQS48b31pHAVCjz3fS/f +pE32d+Y7LROS80ytRO+nC1B65UqdTEKBn/n7XQdmCHBWvnH8FxkFtMNybivM +FOCJCRVnKiaRte99W1VdATbEbuiP06CACLqGp+kJsIZvkbBOkwKRldzmufoC +DN/nG6KnTQG4terlEgMBBpbQ8uV0KLBM4cHYWkMByhfoaz7VpUBb4MblO2YJ +UHPb30/nDShg892sOtJIgPFDkUN7jCiw23m950ljAR7b2e1oa0KBPbEt2nmz +iT4GzAbFphRwO1SsWm5C+L+c/e6LGQXGjH9Pb5hD9PjSRHDXkgImSde8OuYK +cN9VbkqSNQWmZf55PGgqQEi037TVhgK5a+qcKWYCfFc3IcTMluzfaKYkNReg +dfWqVs4SCvyhu3ToWQgw8+u6qG57ClzSmNI535L48a5R6C0HCnzRK2WsAgEG +P/h56/gKCnCXs9dttxLgk6MVCze7ELyzF7yMsBbg0qJc2bzVZL3GI/jkfAEm +v2q05LqT/TJ9rC4tEOCDSsfLH9aRfnP3GFbaCFBj4mKvOxsowC44suT5QtJv +ZdO2k54UOPW5NLZ3kQDTQ5TKt28h68tyv0ZtBfheZ4Lrgm2kv7n7DivbCTCx +utdC6kuBWW8NraYvEaC6RcOuQX8K3BrU14ClRP/Jjf11uygQ8jxypos9wesd +tfLCHgo0txut375MgBnGp1/uD6ZAUciK8sjlxH+3T5ut2kuBbZw+i9MOAsy6 +MO2rwX4K/OVT+oocBbhT3+Mz/T8KmA5fr6x2EmD0BXeTngMUWGWtUPFmhQDz +Vps14iEKTPH5937QWYBaheKraUco4DmSb8BwEaADW7knMJYCcw6pXdRwFeDC +nws2Ox2nwPaUTYvnrRLgv67HBronKPC6Loq3YjXJS9/KJbSTFMi4e1zBZ40A +z+tYl/YkU+CZOEHtgJsA3R75ba1KpYBC5MlNae4C7Pm5wScrnQKjOReflK4l ++g2YczssiwKtFq+86taRPOKw3dzOE/0qGGl2ewhw07lxtnNzKDBcVsUaXS/A +vUz9A4KLFHgw+dQkwUYBLrO+yviVTwF7Vpmb/iYB/jEr6HpeSIEy+9m42JPo +dYIx/WoxBZxuypZt2izA06U+EYlXKfBDd69imBd539N3we4bFFhzwq3n1BYB +Gtm6uq64RYHV9bXfr2wVYPephTdnVVAgurFlSq23AL1PrdqmjITPY8cju7cJ +sOX0pW0/7xH/K45Q5bYLMGBs9a3mBxTYaaxbLvYleWcYtbrsEQUOaOqfMvYj ++FxcaJtaS4G0bnaag78AZ3+6c2hfAwW0Dr167LOD5GkUTcWjifClnj758E6S +78qLBqyek/qaPS+c2yVAc5sT6lNfUuBejYXTnd0C3F5HzaK8osAN7TnarwIE +SPWt9fv8muhlyrrpv/aQvPg1GPfkLQUkAxUreUHEPzbZI1ffUyDnqWe+brAA +zeb/rjjdTYGRCetnLAkRYFkXvXH/RwqUtN5+sSVUgFEz5Qw8+ygglxZ9KWov +yT+d/s7FXylQn/Xk4tl9pN7RsQ96PygwY9G5Z3fCBMivW2SuOkief6dpvd5P +8rXuQ+e/XxSYNEGYOxQuwG1Wo22dQxT4+rPZQfCfACfsuzi19h/JM+OVU40j +BejRqnS3ZIwCOpZZU1YcEGBClUlh6jgqeJ58sGxnFPFHseuXSEUqhFQ+PX/8 +oABrtQ7t96FQ4caSFxqFhwTIvdWxwZlOBfOGVw11h0neKxxJNmdRobDje3Zf +tAB/laaqTeNSYfq0qTm0owLs/8/4L0eZCq02B59qxwhQ2zh42rAqFcL7Jk5f +HEv8f/a/3G4RFcZqxwq2xgmwIndH6BMpFUbOGrtFHxPgZhPPrHI1KhjoNhjl +HRfguKV7RbmTqXDX5OXcR/EEr2/Pu09MpUJS7LptHxNI/s6NVwzXokKl3K5q +SqIAC+3rgn1mUOGen9oy7SQB+q/Ls1ylS4XcGwHydicFOK9g/hobAyosqgp/ +t+2UANWiKh4ZGpH9wpf1xSQL8BkYx0wyoQK146v65RSC59KasyxTKkzp9Itq +OC3ALskZxogZFfYefs37nirADUY1tX2WVJjbbFPPPSPASK2At6+sqZDWXlY6 +K534M/nmohob0u+1+dUrMwR4Uv+Wwi1bKpwJHlQIziT5fPmk6qUlVKAtbvVP +zRKg5SufsNRlVFBwlFOqOEv0EOc+N8aRCokYVPP2HPFLwWG7fc5UiGiwvzUu +W4AKOsxiX1cq7CqLb556geiVxfT1WEOFknvL1BbnkHmwMXe/41oqaM45lbQ9 +V4B/F/7rnr+eCqe37ZkdnydAYe+M87M3EXxL/ipcvSjAb5Eu17W9qPDE30iu +5ZIAI9aeUZN5U+G7koHWv3wyv57I3nK2U8H24+i+SZcF+J/V8KCCP6kvqmB0 +QSHhd8rKDUM7qbDV1fayd5EAc4aXTPkaQIWz799FH7tC5skqOYvOICr8VxiV +UFpM7kevThS2hFIh1M76YUuJAO/oTglsCKNC41Kt6aOlAvzCe5F0P4IKnU42 +tzSuCXDMsZpWfoDUI5cXtPg68dsDYUvxISr8kffY6H+D4OHy5V/eESocooSE +niwToOmwZ0hWLNFrvQKW3yR83MqyTzlOhWtc7qz3twR45uLdkPgTVHieVvCM +cpus+z6ORJ+kwiXTnrN6FQLULzV59V8KFU5W1aW73CHzzaqRtTeNCip8/4dh +lcQvH56kBWRQQch8PfECEj0prvvP7ywVtp+ZnF13V4CHlVIqt2ZT4X2Jo+vg +PQFa+Ga5bMqlQv/i4DnS+wJ8cS9l4bpLVBjYcGHRggeEn/Pnjq++TIXAcR+j +tleT+1f5W4OVV4i/TJd/T3oowNdVO2c6lhK81D4dqXhE8v5QaKT9daKnxoeO +PY8FWPxaYmB3kwpS/9+L2LUCXFQYNHfRbSpoTY/ePqdOgB39RWkLKqnwbdaR +yg31ApxT3ONqfY8Kv6qpVjENZL7IWfjBAyrsnir6cbVRgDMmtLRbPKLCzZTq +xvYnhI/fzRfNa4nedqq/oTwl+Ste22jWQPymNFc06xnBoyp2uVkTFeLLpVFr +nwvQ0TV6utlzKpQPtMmiXwhw7eJd681eUuHZxEM9Jc0kTyb6/jB7RQVO6fT2 +Ny8Jvt5pb8zfUOHTzFYFaqsAGxvUplq+o0Kw8tk1Rq/IfJGTPYJOKswbSHjr +0SbAVfevVVv3EP+vK0+MeU3w62Oo2/RS4Va/TtCNNwK8sMbm5aLPVNjg9OtI +Zzu5LylE9tp9owJFe1od+50ASz53uy7rJ3mg3Whu1iHAR5pJk51+UmEHc7R9 +63sBNjUXLXb5Q4Wi5Kqik53kf0PfvX7NMBUeJ+hdudclwObg25c9RqmgXu/4 +7lu3AP3GD37ylKfB4GRTkH0Q4ICx5sFtCjTYGfCn0e4j0f/BwH07lGiw6NKZ +48G95P8miNIUSKPBr6uzw3M+CfDmubHIMCYNpsY1ZzzvE2Dl5fATURwajBnG +fh33RYBtywvGYvg0KCjc4mfwldwPHS7WJKrSQMAJmbj+mwD3HEkdSBPRwNf/ +yeix70T/nedDs6U0CPscxr7zg/jVtdfjshoNugoTHL70C/Dzj2Pnr0+mAfZI +7kkHyf2qvswGp9LgfK2O59KfpH7VmIU1WjRwTX8+e98vAX6nT895PoMGr89r +mBb8FuDZvzc93+qS+nWn+73+Q/q39oj8ZECD1FN/njL+kvmzwmLspxGN+Clz +q/mwAJWu7G2Tn0OD0gO6en7/SH5+midgzaPB7Y7rmpkjRG8550vEFjTQqbdd +/mSU3N9Pv7w8zYoGb6sH8+TlhLjyyD+K8QIaxLvWzpolL8Rby0zuWy+iwVrO +m2+e44T4vKngrYMdDdyOmr45NV6IDFakm4c9wX/L4PAjBSEOsF6b+DnQwMFR +snRYUYjnfrwNCFtB6h+qrJ+pRN7vKeHFudBgjnQgYj1FiLt0Qrnpq2lwP/TB +5kSqEHtU3XZedqfB1XeL9lXThEih7TW840GDd+ox94foQly7d8y5cSMNDMVZ +FjOZQgzrZ7a+20wDjcLkT+tZQkyg1N3p30qDQzWRj5LYQszx9piguJ1G/m93 +tTziCHHP0y9FAn8aeO8NEo9whTiRl14+fRcN5JXPHzPgC/EiLVHbYg8NZBYT +jL2Uhcgs+jnkGEyDKdwSZpqKEIsU+nS89tJg9uUbwieqQlykcfpe6H4aSOZp +uSgKhTjbWLP8+H808PusXG0qEuLOwDLVC1E0mD58bOsOsRDBOPDFrcM0GL6Y +a54jEaLms4O/nxylQcqCHTavpeR5FTPsQxwN1NT+hvMmClE9xshrNJ4G/qdc +vtiqCfFu1aRSlSQaHOAkx4VPEuJPwdCmmckEn+G69dfVhciz6Qq2SaVBTSN1 +y5fJBC8JtX9tOg0iGB5ZU6YIUXv/scbALBqYzWtnuE8Vot2mNG78edL/15SC +RE0hfn3qUnYxh/BfmRVeO02Ic3s/VFVdpMF4Z6VD47WFOPP5HqP2AhpQVrVX +zpsuRJsX02hDRYT//0xmBswQ4larqTbKpTRYeHxKQ4EO2S/8ZLfedRosWXzj +XPdMIRbSs/qW3KRBVIR8/kQ9ISru2u669TYN7rJUPrjqC/GN82Ttg5Vkv5fj +XRMMhHh8a+/6c/do0Fj99m+NoRBXBfSOVj6ggerTW08VjITo4mw3vv0RDSz/ +5LRbGAsx/9csv3+1NOiF6xNDZguxZW2DpaSR1FPx90SpiRBNMq2CTZ/S4L/D +h+Z9nSPEB13XBGte0GBPlY9Q21SIU31WTAxtoUFP+m1tz3lC1DlgHZvaRgOh +fYx/ppkQx53I31DeToOPnE+9r8yFuI99I+N1B+HLsC9F1VKIdYfj5o92ET2M +P7vPCYRYn+bqMOkjyau3spPHrISYPGb+wLqPBp9nBryvsRai6V7vc5u/0uC6 +23VPpQVClPSN+xj9gwbZHb8kC2yIPmDWqYJBGhRa2VL+WyhEvXCNy09+08Ba +qUL7ziIhFuM/nZ9/aaD5cEvEsC2pb9ZHFfEoDVwmuTHm2gkxUsDeailPh4+3 +LtYHLhFiyP1Ujc0KdGiw9bp/dakQ12dftY1RokPMwfPf++2JH0wOvSym0eHa +7AAng+VCPMqZ+6SFSQeXGX29/g5CvNDyy1COSweemeRGoaMQo+17x6Yp0+Hd +EsGtL05CNLAyNXEQ0EF/UX+/jrMQJ6TyW4PFdFCfUrlh+0ohNjpndp+V0cG2 +M35CgYsQn/yntLZ2Eh3ijoV29LkKUXdRoOVPDfK+6fH+GauJX9+qxKlNI/uP +fz93+xohLknjLLSbTgem8qEbBW5CjH0bv23PTDocPHPM54s74VPz7t8sfTqs +bWW56K4Topd83a+6WXT4yxEH+XsIkaP8et3QbDqsT6xquLJeiEki6SxNUzqM +3Zq4tn8Dqafj+u4V5nSw/mwx2WiTEM1XvJz0H9BB55TJxEBPIcZszTMtmk8H +XwOpY9lmcp7hyrtvFtLBwEqu/K+XEPtaKNcYdnQYt+K3m/lW8n7yVxUzezqc +GVU2ivAW4kk06PJxoMOb7u3zq7aR72+PqJ1ZQYdV13hHJ2wXog9t/+M6Fzo0 +a4gpdr5CvGbe/m5kNR2C+09VxPkJEeXsvPTW0qHy85lLTf5C7FX+snrDejqw +ey0bVXYKcYvDQHniJjpUPUycsWaXEOdkRcdWexH+dxdUZuwmzymttUPedPDs +TI/pDBDijXOc0Jm+dPBW3XdcK5Dkb4Zb8oYddDglcKv1DRJiw4IejVO76fDw +3zLL0mAhOv54rVYbSIfP3T59f0KE+E24PUYulA4Kow8aLfYKccpC9JodRoe9 +oTs/R+0TopVkQsn2CDp8TYu0qg0T4gmHbb7nD9DB6zKzkRtO8uea6PSrQ3S4 +ozDt5KoIIR7RtzLmHaUDdXxnYuZ/xC+VTGu7OIIX36W2J1KIk4IKKiPj6dB2 +OWmebpQQ30XaFZYn0iHSqbRrz0EhLtdUYf08RYewY9XVFYeEWF4+961uKh1s +ht53KEYT/V3tVvdOp4OHsWz2siMkT9IWNp/PokPG9yNVp44SvNlH/7Wfp8Px +TvOjb2OI3mreJIlz6cB9an9UK47MkzT/TJdLdFgd01C185gQF/r4ShMvk/N6 +n88uP07Om6PIeHKF9Nu0p1MhQYjGks1+zKt0sDSufrzsBMkn6/L5S27Q4QK7 +rTclkfj5l3HskVt0sN/6eH5nkhC7ksbbPqqgQ4VjzsuZp4SokewUpHSXDos+ +HboQnEzyPdZRvOg+HSa6RVyuSiFrqZ7B4Yd0gNbcb6xUwt8E8e2HNXSoz+Zt +X5MmRHtNq3JKAx3kaM2Tc84IUdnnma5dEx3465WU+9NJPrWPqcY+p0M39bal +Reb/8+Dn7oaXdDAPpOYczRLir1+dNtw2OriqKS56eZbk9fS/sc7tdPh+9P7k +KedJXuVvWZzSQYcBu7Vzd2YLcf6Y297XXXTY/6/r6J0LQlz2YIKG+kc6VNvu +FDByhZh5NRm8+uiQ1iV4uzpPiM8yLJ7nf6WDSsLXjtyLQnT1ndH+4wcdzorp +k35dEmKQxrF1c37SoXH1gdMLCgge7adWhv+hw4JZvssSL5P7w7M9VdXDBP/k +dov3hUJ87OSWxxoj+Ed+2WZwRYh/7wcpuI5jwLjRoqcRxUT/l4dfZioy4IzM +LPBJCfF3nkCjl8KAtePyVk66KsTtPv+6DRkMoLZSd+64JsSyh68mhbEZ8OdV +0CO8LsSPOZ3PHvIYsMqe4s4tI35k2I7xVBmQ8l/TjI03hWgonHt+nYgB71/0 +mpTeEuKI3MfKS1IGTL26JULhNsFPfGjlbzUG0BI3KLpUCPFU4wLPBRoMmP/z +S3XuHeKniys/J2gyIG6bxoOhSiF62H368labAQnHhHJL7wrx+3Yjb92ZDDhM +7QrKuEf47928LkyfAVHxZ3R+VJH6r1ypr5vFgH9dqyYueCDE8Y0Lb0hNGPDy +uZ59cjXhc/saia8pA2Tz5tz89JD4p1b2t8KcvD8avdHiMcFjcdUKthUDcpXn +Lj5RQ/y8NkxrwwIG9Ozz8O2pJeen7Q8uXcSAOzb8RtN6Ml9Lh+ZPWMKA4CM+ +fscbhMj2V49ZvYwB+/3Dl3Q1CjGqVGvZZUfSn46X19wmITpEWsfJr2QAXd6k +8thTUt+fs7YuqwgeZlSXrmdCzFsaGpHvxoAtcwanm74geL0YNZL3YED5OrZF +fDO5j8pt8nLdyACXKbuO97wk91W3V8qFmxlwhW6kZt5K1nEpoOjNgJrs7V8S +XwlxzZqmXvftpJ7YWX8/tZH1uTLONX8G/NqeZWP9RoijGyKvMXczoG2kpvF0 +O/FD8cYWr0DC9/jalB9vhch6GBeCIQw45ViWtbhDiG39JqfFYQyYXn3pw9n3 +Quw8f9JkTwQDhpfd8v3bSfj2bHN+coABmT2jhiu6hbj0jfmPGYcZIH8y3qSg +h+R10w9G9FEGcHYc3qv4UYgdGjp5XXEM+J06PLquV4gpTepVVgkE/4WK98o+ +kfz8pbQuM4kBZ4tv3+d9JveTWn7ISDIDDmqZKvl+EeKXC6HK7mkMWKF46sjD +r0KsHNqpX57BgK9FH5dM/k7uB6569eJzDFiQYbcs7IcQVf0+fgq9QPTt/Dy+ +pZ/c7yjPjrTlET9szOAbDQqxlDP1klkBA0a87zYf/ynEA8eUl2YUMSBN4PKq +7xfpP+elv1wpA1Sn7Zlo+4fM0/RslU3XGTBvo8n57CEhUp8Vm1ffZID22Wtb +5YfJff+R8UftCuKHxxT/df+EmCbaonIMGZDxZPH18hEhXo/a96C/igEOZQkW +ojFyX+0s+OP6kAF5CUNKQXIifK+rV1RRQ/y7L5X3Ql6Ed/ab9mo0MOB7dty6 +WeNFaE2bkHu0iQG9tp/7EhREOF/z8ccfzxmwrqTx1ndFEUYuLC9c3cIAG1PH +2uVKItQb4w/dbWNAhe1RWRFFhBPH0R9Nf0v2W5FUzKKJ0H1SiyTpPQMK30Uf +9qOL8OyS0sGRbgYoH/gvs4EhwnOJz5229jJg65vkIV2WCMemBcx+9pkB37K6 +Tx5ni/Cea02mxXcGFMdFBXzniHDyCfbxSwMMaNh17KQjT4RJm/cpCH4zYJKu +bKiEL8KFEYvlov4ywLvALlNZRYTBxUWRP0YY8KFXPzpQVYRKHz7EeMgzwelH +b2mLQIQ9ejOkDQpM6Hh9fPI8kQhjbpXMMqcwIeuF2fN0sQgvNt94WkBngrEy +/bGcVITDA7uHpGwmOL5TlveUEXzOTcqL4zEB4wP2PZxI9k/83T6qwgRJ7IJ5 +MyaJ8EKyYcYOEROGFmWaH1cXoek5es97KRM2LM48MDBZhL3Vt6+vnMSEuVM9 +mKumiHC8aQTnsQYTzoQPvbo9VYTvHOIHzKYxQYtx5LP6NBHOjZy2vng6E3SO +aVkf1iJ4bIlw0dRlgmJrf9tnbRGWlL1oTjNgwuzGcbecZohQ12ljB9eYCQs3 +7X5dpiNCjsGGwOg5TLiX7DFfTVeE5buZp8bmkfr3v/96UE+Ey9acgyBLJuia +Ct5+1hfhGlu3wG/WTDjyT6jsbChC4b3dJlsXMuGW0vhj5bNEuM5vWlTHYiZ8 +vvx9qYaxCI1US9zd7Jng4jjiEDNbhAcvLL/7woF877kgdcBEhHOmm5U4ODNB +uq1Dy32uCG8+L9Wrc2XCi8Fv/+6bitBmqH+urRsTrPNiVHXNiN6Ys5vur2PC +NZMne5LNRSiXf/On1UYm2G9pFctbivC/uFu5lZvJml6l6AMilD+554O5N+GT +cnH2CysRGt6fdu32diYkrsy9bDlfhNeBxTXbwYSVv1u3XVogwiZnr2GCAVgq +rvVTWShCL1/fALMgJpTlLC2LWCRCtmTDvopQJnzjP7D9bCvC9fxwvuV+Jrif +eq+2yk6E3rqKpnf/Y8Kdw3fN7y8Roaq3wff5B5kgWLH/nL498UeX1eyH0aSf +AONl6ctEaNkdwFgSy4TVweOtaA4i7HpB2d14nAmbRxT2BjmKMHm+2TbnRCY4 +l7j863ISoei9fX/rKXK+q8oDJ2cR7ojeR1+fyoTsyrUvcKUIBw2VrvekM2FT +3dKZeq4izBk3s9/3LMF/11hd+ioR5lrMxJ/ZTAi8ceIqYw3xt9OiSfvzmFBf +otG1102EsoZbPKUCJvTFNrr1uYvQwfthcnwRqS+iVOK2juA7VlAkLmVCe8tn +jVoPEc4+kb/mwnUmyA2mBMzbICLzbfxp/VtMMLF6wSzYSPS7a3Db7Qom5FhV +fpN6ijAzvPKJ7V2i3+gA8bHNIrxFv1Dz4j55fpN3bMxLhDeau1dtesQEg7gb +dju3ijCl+t7eH7VMOF4b4dDpTfLqw75ZEY1MSF4em7nSR4TVfisj2M+YUDTh +j8mj7cQP1+I2ZjYzQel7h2ienwh3mm15pfeKCYayrTaF/iJ0LND4iG+Y8KM4 +75b6ThF+fq4Q69TBhIauuyEnd4nwQcHS6q4uJniPNkVSA0Ro5WieHPSRCfmr +f78I2yPCfxTRGO0zE256OuzuDxThSZg8mvGN4J85vGZLsAglcWlJswaY4Jcu +iHsdIkKFgof3Hv1iAkWhiuq0V4Sv/uuNXveX+C1G2vRwnwi1pAs+DI4wYaLc +/E7z/SR/isTtMfIs0LNcCVfDRXg17YqvhiILgk13fZz+nwgrNy8+VU5hgexX +WdvZSBG23dZa5cxgwaojtmJRlAi/hpwo/cJmgaIaZMcfJP5Jr8k7zGdB8uCd +EMphET52UJkzWcCC0TVdqRHRIsz4eH1DhZgFvdcblYaOiPDHu4GpqyeyoCM8 +C3fGkHnwlnPwpzoLKFaBDz7FirD+qlP4iaksEJ7eoep5jOh5zaiyvjbZ37So +9M1x0l//qoUNOixY3OeY7pogwkV1uXxffRa0RQU/azpB8nOdfhjDiAVDg9Yu +S5NIHi6Zc6DAhAUNZk1TH54U4TMPRU37eSw4t3O+tXUyyd+EN5u/WrBg3e2b ++RUpxF/jlebHW7MgaY3zxrmpIiyVf1RhuJAFAemzvK6libBz/JbmF4tZsO1T +0A2DdBEKLk+PC7FngUu5lUthhgg31a5+L3NkgXlGsfWMLBE+cp3XfM+ZBQ7G +H/flnRVhR5Cq99ZVLEgxmaCoeV6EIfsM01juLNi6Q6ftfDbx8/vm7dc8yPmV +e8fUc0TIclzS7r6JBeEilV1ZuSLsy3j5TWELCy4dFs1SuyjCgLqqs5e3sWBw +2iXrjEtEbxNWDbr4sYA182OWrECEHhdff5DbxQL220H79MsiVDRN3Ze/hwXe +qT8Wy4pEyPRtLXEJYcG4prGk9CsiTJvceXRcGOmXaqU3sUSEtd5yikURLDB9 +1yzMLCXzLixU3T2KBW4TOh0nXSPnPUh9R41mwV7rw6/OXhdhzatL1mUxLGjZ +0V2iUSbCxvDBRVuOs6AuUq3twk3iv5y731UTWaAd7rpCq5zocYe7+cNTLJA7 +UCTJvy3CVB22bnAqC/bhYiPdOyIMcplSpZ3Bgphw2/TiShF+Ot3zr+0s0Zes +wcX4LuGjKavt2AUWfGSPrL95T4SblTI8rC+y4E/773Lz+2T/ndpHfhWwoGh6 +x5Z7D0j+hhxblX+FBZsvtnkueihCnWvChvVXWdCnSSuteyTCI5/4n1TLWHDv +4HEnpxoR2rHrCurLyft3js1vqRVhw+I41YOVLJj3bvqhdfUiXPDt/DTzKhbk +cg6LuxtEePSg+7uf1SxoiqmW2/6E+KNqvFVRDQsqshlzB5qIf471LPZuYMHr ++/uqQp+JUGXMcVjjKQsMt5tmjXtB8tQ9ceXbFyywNfRuPNosQudJf1altbJA ++YGOI79FhHsG6xVXvWFBfW/e1DOtJE9KN7qrdLDAc5+8/dQ2krfbFdY+62JB +yY41Dwtfi7DfTZ5y4iMLtJpeJs1pF+Gl/ty1jp9ZcLwy/dq9t4SfZwvXcb+z +oHLPE237DpLHz3RoTweIHhck/Xj5nvDxO29D4m8WvElkMjd1EX+F0javHGbB +ka71+752i5D6KEtZOMaCSQ0llqEfRLh3f/mOtnFsWCan5Tqhl/jB/1JI5gQ2 +7LPuvnfikwgTsyr0PGlsiA9gH1D7TObPYptEbRYbXsbVJhd8IXnYnJD9jcsG +aoaFvOk3EW7rGdh0XYUNUB9X+fA78Yv97aYwERtuurU/Xdkvwgie2VcbGRv6 +z66c1zUgwhk7799kqbNBgSsa2vVThFNf5Ri1TGHDE8NljHG/Sd78MPI4p8WG +vRfFexL+EPwTcK6vDhs69bJnqf8V4YqHaffn6LNBI5VjWzwswssvhXKKRmyo +f36wxGpEhMWmRz83mbDBu1t799NRERZmWh/NnMcG1b7JRzfJiZHyKanV15IN +frLk34PyYpxo9PyV2Xw2lNUXlB8aL0ar+hXHGIvYIPU62ixUFOMbsy2Dr+3Y +0LfNxTZ/ghiHLDYyC5exwSjEhGtBEeO/6pTWcCc2fFrkbNBEFeOFsXWrnVzY +0J37LM+TLsa2xdS4qWvYsPHA66A/DDEqWHwOGFrLhjPtJzNiWWLMzHfnNmxg +Q9pLTZk6R4wvUos2nt/Mhq6c6wPXuGIMtjP1DvFmw7mM7ZOX8MW42cBpqoMv +Gyxm7Lj4TpnsP7Y0edpONnx/9pHcZ8XYcSaiciyADflzR5EhFGOK1vyMlmA2 +CIUtjudFYvzz79Oskn1s6LXJmGcqEeOh/IaI2Ag2dJQG72+SitF2bMHBLVFs +uOJ7XOw9UYxP/mVbzY8m/J2mceQnifHpe5vrarFs2BPK8zitLsZ2rfDOf8fZ +UOzTqGSoIcagiLzHrxLZsKDbm1Y7RYy7mkXeN5MJn6G0LZ6apD6HGfdS0thw +pLVVNjpNjK8djF8EZ7JBv05OL0Wb4LMr/tzq86R+k7xUwxliTIs5OX1eLhtY +sqH19TpivFaU7ivLZ8NIijRyq64YOTPGbZcrIvh0zhsdry/G74elml0lbHju +GPEi00CMp44uPPPoOhsKVvApZrPESDd61XD5FhsK90w81WIkRsN7BncS77Ch +aX1t+J7ZYgwvzN0Weo8Nw63zH/DmiDGg6NTzDdVsOHuv2OvKXDFqlq3+t7iG +DalCS89l80g/Q0veGzawoeGXyp3PZmKE948OSZ+yYUvS+oAYCzGul+p8mtDM +hk02iw9PBzFGnGhi9LeywWTv31+PrcRo5KPy7c0bUk9VRpX3fDHyGM4JNR1s +GF+z/gvVhtQj+jRwo5sNL1x8Ai4tFOPsQCNBTi8bBpb3rlpiK8bc+fHDSV/Y +EFOmmPZ5sRgZ79ecjfrBBoPiPtNjS8SY3f+Dsucn6S+4eo6+PVk7lxp6DbHB +x+du0tNlYjSYNjJx1Qjhdxxl+R4HMa7uVt1yQY4Dj18+2CJ0EqPrN8dJmeM4 +8CNT8235CsK3use80woceK3ncs1jpRinMf3KEidwoCsk4tN4VzFWbCxMPkbh +QPjxpv15q8RoNri89QiNA0ZZe3bZrxFjUWlk2EEGB74MpTzodxNj79XAqP9Y +HFCjbQ1OWSvGrhnuX8M4HFjvzo6x8BDjRd9N5aE8DsxPKx/pWi9Gpx+3+4KU +OTA54fSTmI2En2Wnw/eocqBJs3n8LE8xbrTQDtot5ECpZ0byq81irE9Lf7pT +zAHfXWqxkVvI+Zumndgh5UB28qGO6d5idL76+5r/RA5YzpNPebZNjDfrLS38 +J3GgsPN20b7tYrzDM5jhP5kDv00+aGn6ibFHaWSf/xQOXBi9PP6Jvxj7V7yY +tUOTA8snWkLoTjFaYt/ynVoc+Jb+qH3KbjF+nrOradd0DoxmB79tDBDj2brU +sgAdDtjuDbPeGyjG2IJkxSBdDgxEK1KmBYsxcGZaWYg+B7xcLfWfhYixtPpl +0z5DDnjGry4P3yvGR7wIxwgjDpwdjbyoEyZGrSfVJlGzObDh2Ke/rfuJPt+1 +R0XP4UDa0sqiwxHk/EXDc+JMOXBvi/4j40gxWugvdz5hRvrX813QdUCMzB7m +y2QLwqfKhSmJB8UofLXtbjpwIO6ykrf1YTG+zzrNz7bmgEv+fW5/NNl/sL7+ +0gIOJPXQ1c4dFSO/eN734oUc+ODKTHCKFePPVtW9N205cFo8tGX8MTHan0z0 +u2vHgfc+Y+evHhejil5PzeOlHPiT72DjlSDGQsH8+KfLOKC1VrZUmCjG6K72 +O20OHAiacqqsJonU7/DVpduJA8Y1fUfDTomx2yxn1TdnDhjMXV6lnyJGWeG8 ++0MuHNgY/mND12kx6j3pPK2wmgOmDeO3pKSJ0XjwWSvbjQM2oTeeLk0Xo1+C +VZRkLQduDptfkM8U48MFG09P8+CA8tdH7dezxPi7yUdktIGsuUfDt58j+pmc +pGC1iQMy29LDk7PF6LiI67ZsMwfcUgN/t1wgfggUydy3EL3NmtB4PFeMSuxO +u23eHGjblMRadJHoKym7K9iH6CdjxfXRS2R+lCR9OuzLAbP9gdXXC8T40vyT +e7I/BwSVepb+hWL00Hs9L3cneX9+ySStK2Lcf/Hs4Ru7OTBb2cCno1iMqr92 +wqM9HDjq/nZiWinR86Eor9YgDjzy+z5v5TXih0HO308hHHh1N/ke+4YYL8kv +H/63lwNKA5TSmjIxfkoO3Mbez4HQ+0HMQ7fIfHtcuWhyBAdKJgqfWt0W44Kn +GxONIzlwlz1RfrSC5IFKiv3iKA741VWk3qokfKmlBK49RPRbNCMz6C7xa04a +a1c0B5bOPcMyrhLjnqNtKoePciCKt6C3/z7Jp6fxsWdiOWBCXaVXXC3GLcWD +u0qOceAMj9nh/4jUFwmPH8UTPpekjOrWED3WXT7+9gQHdvzSjf5aS/A0D6z+ +lcSBf/sn7C+sJ/Ow6JkvK5kD4iDnd36NYqybJndI8zQHWlOWFek1ifH+c2O2 +ZRoH3j2Y3vf9qRiPsIuoq9IJXkpqSSXPxdjknrNnZyYHnh/fcCmgWYy3fVxW +xJzlwP4yLV2TFjE2q/49d+E8eT4+X+1vK9l/U50nXuDAQalaeEWbGP2jKKfb +cjkQ0Fy+9L83Yqx60Wv5+yLha2ZZtM1bkvfv8lfzCzgw3XbJLFqHGGtXH+3R +K+SAKKBgaeN74leNuz1Lr3AgR5v/IqlLjMWLY9dsKyHfU2/UrekRow5Fyzr6 +KgeK3jXOUv8oxjkPnqTnXOfAkXMnaR97xZinXOX7oIwDe/3AsahPjIIb80q6 +bnFgcxyFEvRFjEvTgnwUKoj+d2vqWX4j8/916ekplRwoqHharfRDjPL3Z5rb +3OWApvHCxif9ZH4+nuziVcWBiPqbtqmDJD/jn3QdfsCBumyvWZ6/xGj+JaD3 +4kMOXFM4dFz3jxipHfaedY85QN/ouHZoiKzPnF75rZbk09px6feHxTi871QF +r4EDL+49XRY/QvzJPXBm9hMO/Dryb5f7GMFTJaN/zVMOmL+8SdWWl+CNQE0M +f86BhL8L+L/GSVB9uZvihWaipx0tx6sUJBjwae+9mhaix47C8IQJEjxX9fD3 +91ccKJ8yvtODIsHsg/svCN5w4PM8zi1dmgSt6e9qLd5y4KELV3GULsHT63V8 +vDo4gE+t7tczJZh39/yBY50c0DZ98zudLcFVaYdUbnRzYIKNWpYfV4LtMSrq +7z6QedE6v8KSL0HHjQk51E8c0KUfXs5VkaCO2rycWZ85sFA61bVTVYI9gysm +rftK8A9b8/yaUIIzFslUjnwneVO/6WG0WILSgpaoq/0cqG4N03eXSjC+76H/ +u0EOLMrsZutPJP3JzWxm/ObAm8UtmxUmSfCqwK5s7hDJf6NEw1Z1CSombFDd +MkzyondFYKGGBHHs2vekEQ70TV5lEDVVgp+1jy6qGuPA7to3m9ZMk+B7irqk +X54L9f8mswy0JXjzcYWPugIX7OW99CkzJPi3/vxcxwlcsHTurnmrI0H7S6oH +/6Nw4WnW2zc3dCVI1VqzrITGhc1Vid7x+hK0syk52cngwsXH4OdtKEF3o01u +KmwuTOqf+tnaSIJO7sWZi7hcyC2I7JTOlqDzmo6NoXwuHE875fzbRIJ9YyYX +LqtwYc6Js5ZP50owzPmvV4eACy6nOrMvz5Pg5JO+eSpiLjx6eybqiLkEzYxf +ettJuaDbyny72VKCqu378sMncuGYWtBVayvCh3+277VJXLgdKVKcNF+CA2OJ +V/omk34mzG4aWSDBX68TAiZP5cK0d0zR64US5MR03Vw9jQuxoe9f37KVYN2D +pxEJ2lxo2PVTmmonwa6I848fz+BCTWp0a8hSCZ76kJ40TpcL8OcNb80yCT5z +p76fp88F6gOTx6YOEozZN7NkjyEXTHa0/JM4STBR7KR4xYjgkT6ucGSFBHfP +r2z7NJsLGlOGXr9dKUF/8wpjzblc2MsfO3LPVYKMw0n8jfO4wCl0vXZhtQSr +W+L2ZJhz4fP2hR5H3Mh+U/rd2iy58HyUFe27VoL5p2gPhdZc+G37U8/JQ4Im +JyfdcFnAhVIvc1eTDRJci2E6Jxdy4ezFGaPSTRIcGfCZ9tyWC/w0hanjN0vw +g41xHn8JF5L/Mup6vSTopTSlaIU9F+wqjww82SrBwfuRZknLuXBGgGll2yTo +sOiMwwtHLthu+3k/a7sED5wo71N15kLISn//I37Erz0zWKtduBBftDtt1w4J +at6dU5a2igtfD9sudt9F+mub+al9DRdEmkYhCwMkWDjdNXvyWrI/LWyGQaAE +6zvlPnh5cGHPN+/10mAJbg0KKsnfwIW2h1ZCSijhM1FJ6ccmLkTgkhWDeyXI +1Rztmu3FhenQyO0Ik+D3VXlLw7YSPj7ynRvCJVh6coXF/W1csErcIL79H8En +yv4W3ZcLJ13lNl86QOphdOEKfy6YHZpjdPqgBNev2Ox0ZicXxuc7RUcfluC3 +SjX/7t1cmBiXvCH4iAT//N4g0AvkQr+eA26NkeC0jtAlIcFcsHj6IHt1HMmH +szfp90O5YPjNir3kuATTs3xXscO48MOcJWeeIMGGgz0GbuFcmFwaEKSXKMEt +pgEpuf9xoS68cs/kkyR/PnrFDh7gwl/u3GGVZAlajrBY1oe4cEdFh0I7LcET +mhWy+GgupAR0nhlNlaDNynvl7Ue58HPlpZsDZyR48Lb/x5lxXNiqVreuN0OC +zGeq2WHHCb57kmLfZklQ24n6rT6B6G3e8vnN5yR4YfbpxxOTSL+JtgfqsyX4 +5q7QaMcpLsxsr1v6IIfsH/xK914KOb9CK6siT4IsDYNbymnE77yLYdcvEb6f ++DdvSedC2mhqd1GBBB896z1QnsmFd++XtFwslGDx/f577HNEzxupLtlXiP8i +2hM9s7mw3EPdI7NEghk68r9v5nAha6xjIPWqBJMMij6zL3JhxcXTysnXCZ+W +5nu88slaIfluYhnR83K5hIrLXHAf1hqOvyVB+Qx7ULnCBUZ5xt1jt0k/xaEH +fEu4MFiySCXujgTvuL5ZU32V8H1y968YJPMjp7Za7QapZ/WuzTH3JFj2N+1h +yE0uvJ2dtDHmvgQn/ste+7ycCz4F2l9jqiW4JNX8iN4dLmTsPUCJeyTBNawK +uxgkeFzqLz5WQ/Z/FXruwz2Cb9SjT/F1JB/qGuIXPODC3dMupYkNEpQb5qie +e8iFN5Vf6clPJHjp4WlDuRouLOV1DqY+leDUt3d71tVxYWP/Qb/M5xIcnfve +8E4DF7wo00OymyX4UOIsmNhEzrOerHKpRYJs5Z1J+59x4UXzXesrryQYPXbi +0tsXXGBbu4+78ZroY4LyGqsWLmTa2jjfaSf6zFx2/vwrLkz9/WRO9TsJbohN +PzThDRfczq240vBegjvfuilse8uFzg/q5S+7iP5/d0kbOrggLYxf3dEjQdv/ +kp4YdnFhw5SfMX0fJVgZUq2W0kPy+n62069PEtTQeUkb/Uj06/DzsvwXCf4z +1Djh2Ufy8aVZBvMb2T9E6XrtFy6MFTVpiH9IcI5pR+Cs71yoDaNZThuQ4Fc5 +1ou0fqJ3XYvvRj9Jvl3se6LwkwvjRqpM5v+WYPDGlm1+v7mg5zeg4jQkwZeX +DM+3DHFhm/OUmA3DEqQ7rw6d/48L6xoKk3eOkPkQmf+9cJQLcrZ98yLHyPwo +iJ4gkefB9lDD4ER5KdqlOdw+PJ4HWtvfLL0wXopRvpt4PxV54LHL5tYNRSnO +TlKnbqLwwF3/PtYoSXHkeV9WE40Hqiml69upUuTZabwCJg/iPvmm9tOlGLJJ ++9oVNg/ayuz9lFhSHNfjYajO48G6zsuvpRwpHvis5XRCmQcPU3u7DXlS9PvY +o6wg4EHxeveji5WlmHD2X2igiAfrlTbWrFeVopJJfVSvhAe5JS45wUIpPp94 +23DtRB4kvDw1MUEsRabWzINNk3hgZRE+65JUih+Co/Yt1ODBajnf7qqJUqyO +1xTdnsqD20crjNonSfGQbbCboRYPXqU3qA9NluKfpvb5F6fzYKH9aIHyVCl2 +lFU+nTSTB6ly+c3606Qo6oqgnNbjwe6AWZn22lJMTIru5hry4MLNXxN8Zkix +xMt8W4wRD3xnO7OOzJSijdOEZEUTss7Jv5arR+rJt9seMZcHXZK1I9UGUhRM +2fVpeB4P/o4+6u6ZJcX+h13cYAserGI5+CvNlqLaeHrnIPCge/2KVK05Uvye +br9u13weTPU02mJnKsXcSpWo7zY8sG53bt5uJsVLX+qc/W0JX19UPx63kKIb +882Tr3Y80Ke+OVMKUhzeeOWPnz0PpONoP19ak/5OFNd9W06+Hyf/498CKSaf +W2K/04kHB45NTZi8SIpff/eGDjjz4PrBthe2i6WouebPykBXwo/64Ur/JaT+ +gfftQ6tJvX9ilyXbS3H9MlXV/e48+PzX8UDlcim5z4wNj/PgwbvAees+OhK+ +ttITojfwIEO16C3XWYoP9PJesDx5MNjBo5i5SJHxeH7NSS8eTLSof+m1SoqD +JUv9Zd48mPR1wfITawi+TQYPLvjwYJpyh98ddym2+m2s0/XjAcOAatK3jnxv +uuxg2Q4eyE+dmifcIMWIxZu/W+/mgaJ++r2Fm6ToKBGyGvbwQGWg9dCezVIs +THrZvjqYB2H+C35mb5Fi6jiVTT2hPPK/s5D1wluKLRLrtN1hPDCNsH2quF2K +F8eeHJaP4IG23HUrEz8pnpttpB0fSfTJGXL33iHFe1fbw9UO8kA9Y9+UM7uk +eOLl/NiiwzxYMZSf0hhA1ltfLoOjPLjU3H9zfJAU/c8wHzXF8uD3soroOSFE +f8pufzYd58H3d0GKfnulKHtn9O5XAg/sdhzXzw6T4uQQTsTRJB68WbiT1hZO +9PB4U8vEZOIflZhEXqQUNaZf6C09TfwxaFdnF0X8s37J1cVneDCwUe3agUNS +dDlfP+ddBvGrbRA5UYqhp88HBZ3lwdvBuym/j0oxdrXNTnY2D9ZO9k8yjJPi +I58Zmnk5PLgx8NXK77gUN9U0nLK6yIPDv4rPXkqQYlZHXlVbPg++Tda++iGR +6D1+1uXAQh6Mf/0gZOopKVpq967gFZP6fwz1b0qR4pTdC8oKS3ngkGEy6Xwq +yY88fLXkOg+8Yn7Id56R4tvQ1vLeMh7MbEhN0ciUojub7h5dTur7lNPleVaK +leOelk+7w4OSZ0d6cs6T97fktz1E4s/eGxm9F6Q4p0b59tYqHshGLzBn5kkx +Tyd2La2aB/ZOj2ftvCTFjbR4LHhE/JqczL1eIEWD1Zndy2uJXvoP5Q4Xkv4P +z60fqOcB5Rfzl1WxFM3C24NSnvAgNP/8SHSpFOOzWT3mz0jexFbeeXJNitEt +dsKuF8TPh1vnisqk+DhImR3TwoPEMW//jbekqOj+pcawjQeRNb0eBbeluO6N +69K2N6Re46f033dIvjY1J0a94wFvfPpu67vkedyXs7qdPPjocz/5WJUUl3Sr +BbV282DKpKrgtgdSXKrbzz/4kTxfpCzQfiTFPvPeYIM+Hmw8MGt3UA3B2+do +TvsXHtzqOxNXXSdFcbxbeux3Hmgq13upNkpxF6Vz7bwBHvhRrca8mqSoezX3 +46efPDi0ItC17JkUG37rW6T94YHxr0/+tGYpqt+e4LF0mAdNO2SL17ZIsca/ +eMnoCA/yK2M7r7ySYrDSLYViOT5YupdZKr6R4smxi0c9x/PhjsWkdWvekvx3 +o7cLJ/Bh45sFllc6pPgiZ+tYPYUP5TNzOyd0SXH176XfDtD5oJHzaMm6HrLu +m19oyuJDptmM4OsfyTwoaDXr5/BhlrejN7tPihe+pqZd4vPBbOodNe8vUrQd +UK7dpMqHd18G06q+SVH78ItamYgP2fdC2if2SzFcwSejRcIH4bSmD6GDUmx2 +9pyfNJEP0VMiyl7+kuLObw7lDup8KLRlOBoPkbxswwmsKXw4kDtcnDgsxdor +CzTrNPmw//Xztv4RKe5L8RXHaPOBS1NrdJKTYd/S+k47HT48fbUhtnScDH0k +vyLpenzYHjlVWUVRhtu7Q//UGfDh8Z1+ryAlGf5Q+7bguBEfCl46HXxFlWHa +856tTiZ8yMts9LdgyFA3+5enqikfnAIHNM+zZPjifuncNjM+tC1cnE/hyvCo +wtUPWZZ8mHbUfcSPL0Pe4zj/LdZ86Fx4U9asIsOtvJYmXRs+ZPA/MyyEMpwR +Mp39exHpVyWyNkcsw7v6Mi2048PycdQ1HJkMBymLZUft+ZCuzr4ZqibD4u2L +vjk78GHCUo3ebnUZenuWZExawQe9L88/OU6R4ezkKTpfVvLhmcLVO3c0ZbjW +bm7KrVV88NZ03KyjTb7fGNsZ7caHTaHmb1NnyPD55lusVev44FpJm0nTleGc +vevFWhv48MluyfJQfRnW+UiVhjbxIZF6YmGfoQzp2bEvarz4sC9iF3+tsQw/ +GDkcSvfmg2NDxPVGExnGP5sg3rmdD9PzHfXnm8qQ1uaQYOPPh5/eof/dMJNh +j33jZ/EuPvwdir+kYynDgy80Zv4I4MOanhkF56xkaHH/u9OjID58dH1/SLRA +hvoqreuyQvmgrrJ0XsJCGYr8IxxDwviQEyVfQ10sQzONmBkrIsj3BWmzDiyR +YYluxpeZBwi+hleDR+wJvuYeKdRDfChb33062EGGC3IDdHqiSf3qNcmDTjJU +33PwUlUMH06PH921c6UMT66byz93jA+1c2U631xlWFY/Z8t/CXzQSb9f5btG +hgFvdHI3JPFhXEGC6Rd3wr9b5TPrZKKvmMkJvh4y7KpN/TIllQ80uuqjrxtk +6Ou57adSOh8Us+jvdnjKMJ/3qq8vkw/bfM63DnjJMHbvqaYn50j9c/dfC/Im +fA0vzb1+gQ+G/5kH/POR4arcfN/0PD6MeB1QjfQj/S/fMPVgPh/u3+4/Q9kp +w5owWaNvIcFjvB4lfjd5Hhrv41rMh3af16uEgYS/RT7DVlf5YNqcefxsMMHr +kkf4zBt8WNw88fKMvTLsmDzpj+gWH+YUjxVfD5OhYNDDS6mC+Hd9b4Z1hAz3 +qz+r+VnJh/EJBwIaI2Vov0tXs/sewSc3cNbagzK02jEt5MUDPuy94/P6fxVX +d0BOfxc3KiQpPXve+4x2GRFFdYyGCgkNDZpIMtL4iaQUSkgKqRQqUUhJ9kGK +ohRpqzTNhpRQvff9+3vWZ5xzn+frET7a+ewtLnlJ6ZWlsCskmo8bAl9PvVeu +AnbfJ/dOj+Vj885us5wKFThY888x5SQf7f8eOJhWRflz0+W82aepeaNW5ie8 +p/LNrww9O8PHKEuZ9phaat9lczXsz/LR1nLbzIgGFQiq2m717Twfb9rNNwhp +VoHxtJPO4cl8HFYUue1tVQEdrZcu7It8rG/tPeLXTu1394s1eenUvsg739jW +Rd0zZUM9yyt8VEuW1nh9VoHBjA9TOzIpvMEKo+7fVGDCttVVodl8tLarUnXr +pfRpXx/LyeHjAC5Yt3lABaI8U43u3qD2nfsvfPMvFXCVbf20Po+PCmndhW6/ +VWBTVuWBn/l8FLg97PX4qwLrhsQz4wv5uNPaRHfLGHWvfM6c1bvHx1JNff/t +E2mQY1HPrHnAR6P0LU92ydDA6/L1U0GPKTx6F1SCptDAxeXFJO5TPqaant8V +Kk8DJY02vyfP+fiSrVUbNYMGw9H3azxL+PikhmNxSokGSxtmLJr+io8/w/WK +k1RoQFt+LvF2OR8vKi61zmTQwKKEObCxgo9Ca6W222wanFhsZSVTRfl/yC8C +eTTotR24dOMdH2PytOZXCmmwN+HNiOMHPqrIMwY/imgwxzvVRq6ej9J9Y897 +pTRYLat2Nb+R8seWwisTNWjw64TmRPePfMySKp2ladNg0pivs3IbHyUjHy+o +z6bBQp38+0/b+WjKHM43mkeD93XPeP5dfHTP0mldt4AGnanuEdLP1H0qdiC3 +L6KB6cSNvXVf+eh/aE1wxGIaNG/Z7Rb7g493Oz53JhvTYES4p2FZPx9Neids +v7uUBv6bVJ1GflLzXPCb+m4FDfRNHTtuDfHx38cZT3rNqXqNHwK3jfBROff+ +yRlWNIhk+qqI/1H3fWhtiPZqqn9T1/3mMT7uzskLt15Lg9Qxut/5iQJc9Kwo +c8d6Gsw2eaVjJyNAro55z0l7GojWVf1RmSJAmx4ji/yNNJC0j9dUTxPgjsHQ +0loXGgzFqOFpBQEu3Pjde3QzDX62cu+vmynAy1o71CSeNFDYkVdMnyXA7Kj2 +adZbaGB351FrHU2A7AT9mQE+NJhswJyZwhSg7clViy7uoEGVf4KNO0eAcx4r +RZXtovhoUcpU5wtQbv+2kSF/GkQPuSv1Cal59ZfFS4JowJznfapIJMBLO6PW +r9tHg4KZQ6rhUgG6PBMZRxyg+FDufW+tLkDdVpm1BWE0KH+ke4GlJcDEBO6J +rggazLsSv69TR4BJ5XZD7COU35xH/fPnCND8aFb06mgaPI62PhquJ0Cz/nGr +w7E0uNzkXmSrL8Bbq9ctfnCKBjVKYlmJgQAD5BMdf8bTQGNw186hxQJcXvAo +S/ssDTK95v5+ZSxA10lPVbckUX6yt0xLXSpA7fdnay+l0CDi7aWte1cI0F5v +8YOWNBrwekW2VuYCdN+QUc2/QoOmnnwXsaUAr16sErhk0UAwE47/sxbg9syH +aSnXaDCj4vbHD2sEeGyOp2NLLg2m3fq94batAG8vKl0pyqPBW9fxgRMbBBjf +17nHu4AGnpl3Cn0dBDiMT2uu36UBBEy/ZOUkwJvWLv4D92kg19J/R8tVgGH+ +D60NH9NAW+j0U8GN0se2wz3iKQ2WnDd06vWg8Jk1Fr4ppsHNxsM/qr0FOLP3 +6kr2SxoIL82+cXcb5Zc5djzvchqEfZh7IcVXgOl632cXVNCAHR9ReHinAE23 +/xc5uZoGE6SCiTv2CDD0zBTB+hqqvuK/ELsAAW4tyviTUUeDLDm2+tJgAbbr +evBGGmlwcWy3nE6IAO+n2xxe1UKDdlKWxQkV4GeFML3Lnyj/1Va5TD0kwJKn +Mlp/Oql9LamrG44QoJrPz+22n2lw4QM3uieKep/qPnz9Gw3i5qTuaTgmwLZ/ +Wyrk+mjQsNwz/s1xSu/JggH3nxR/L/y/Pz0pwHHDVA8cooF74btDd08LcK9E +RiL88/99PL72RoIAf2f4zj84SoO/DlkumecE+GHGUELrBDr8jJ6ddfGCAOVp +uHK5DB1+686dnZQqwHdNX22yptChoPreUEK6AFX+XshRmE4H5Y11Y6evUHj8 +B138FelwdFKKRVyWAHWecLwblelw04Ndc+qaADvKFpSsoNPBc8/mjLhcav6x +HQdvsuggPhx1P/4Wpf+S76e5PDrQ1qTTz+YLkN7xceIxIR14P0rvXigU4LQP +O98Mi6j+7bMupd8T4ODeiqEtqnRQ5STXXH1I6ZWtebBeg6rXE7ou74kApR13 +tljr0CFduY734JkAjYnLedSPGOgsfzGv5AXlry5VV/35dLj7eEti9Utq/9YE ++eUupEOrXItFa7kAH8u9bpcupoOm4Wqr3goBeq5yfXLRmA6yW+tTx6sEeOLf +1kncZXQw52euUK4RoNdR9RtnTemwxrvRSFInQI/Jjc/pK+mwrDo9ZlGjAPUJ +XJFgTYfiveLZqz8KUHkBex7Dhg7MzzEaXm2UH000Ys+to8PiDVP3H+ig/Nox +355nT4eu7aVqZ7sFGB4YHpe+kQ6snSM6t78IsHTY0UjdlQ4L5r89WfGdmpcr +63zLjQ67pAdXf+sToJJV5Q8DLzp8W7F4+/TB/++f7HDxVjrEzF7crTVMxcsP +B6z1pUMVcff5qj8CtJo16Nuykw6TBnsm7h6l/MZa0+znT4cONYXLCROEeNHE ++eV4IB0ef3K5+mCyEA/67Z59eh8degZ4Ku1yQqxx6FJRDaVD3btjHdPlhfjx +IC3owSFKv1tdfP0ZQizSt99oG0kHgVcQuilR71emP/lylA4BkYfenFAR4oJX +pzIPH6dDtZO12SOGEP+Fms8iTtEhqJfQ/s4WYuLB05MfxdNhopxlmIAvxJ9e +H0KcztLhtCptxVpCiDfz/9v/N4kOh1PfBEeKhWhd3SGXkkqH6+ElwgeqQlRk +hfPgEh3e5NsYDmgIcazs0eOODDr4tz15pakjRL5Urjc6mw61sdsqPedQ/e3K +b8zLpcNqpQzrND0hVsQcHG+8ReE5X76sWV+Il74nfooqoMPaBYvyuYZCFF09 +4qhXRIe9VeYXnYyEGPLtlVfbAyreyHFqCghxaLB2atwTOljqvultWS7EJHnd +FcueU/40k7OXmAuxK9KS/auEDtq0bSY+lkLc9D73WHYZHcIZztfyVglx/YGG +xE0VlN+fm5//YyPEHPGGZcxqOmw8kjjDdL0Qv0VfiX1bQ/n5dcHUOHsh+iav +3RdTT4fRUaXjHzcK8cjW7mkWzXRwOso9r+MqRC2dn0ZybXTwaDObG+omxFwH +GVZJB+XPY1Ps3noKcdLJnPNHeuggnPV+qmSrEMmcg8WW3yi8fKnVf9uF+P6V +StLMPjpUegUI3vpRfC2fyPvwkw5pT5ceVt8jxC0PPlmlDtOBI50WGh4gxHbO +Bq2tf6n7kGU942OwEN1Shh/ojdOh7ehJvcX7hbihcvv4hMkMUNWzHzh/kOLn +zIbhSjkG1JtoWf0JFyJHxykjTZ4BtvsTTJyjhMg1lE73V2RA2g+y6skxIf5B +V03zWQxYVOc6URorRI05d2T4DAYk3G+qijklRCPvuguDbAZcc9FdMRgvxMHb ++/rf8BmgXNXj6HpWiD8+2kzJJhkg73+ZVpYkxJ26s1oipQww/DkcsDBViDu2 +Bu/z1GAAzTH8YGa6EGfWmzSu0GGAs1zbPGaGEE/aq01Wm8uAow8L4o5dpfy8 +qu+n/AJqnstpKaPXhehQ6HqzbxEDbFZaOvjfpPBrGiysW8KADTmOz7/cFqK4 +zSL2KTDA1ei/Vo9CIaoVOubnrGCAVceGvI/3KH/rGl4/b8GAlbIXFzo9EuLa +gw8Cj1ozgBklF1CPQjQ7ncf8z4YBNe9gu2MxhV/+58nt6xlwr1OG11gqxG4L +x7ZNDgzwX65wzLWcwhuIM+ycGfB6ukpBe4UQ7SKnMFdvZkDtUG2qT7UQ7yxQ +Gjf3ZICGC8/qZ40QewRPSpdvZYDZkiv3D9QLcU7B3z1LfSk8Rvq905qFWGZx +a9LSXQzwLrrw5WyrECczy4KX7WXAkgdpN9Q6hBhlZlBrGsyAfkWa0b1uyk/9 +fUKr/ZQ+S0rPWn+l/K3Rvd42jAHL409g2w8hjk+gBzsdZsAq3aX3ggeofToR +GON9lAH0P0URykNU/Z/ycf7HGTB2r5rMGaH8v/l9dPgpBhgp+iVYjFL7LK7b +F3+GAe6P9Hf5TyCwNV3gkXmOAZ8XOIUvn0Tgmm35pg+SGfA3hRVOkyGwZG6G +pDqNAT0pnru6ZAnkdshO+nqF6uekv/reFAJl07+0yGYzwCskihc7jcA5L7ej +KJcBseprmtymE1g5fiVjaR4DjqscP7FwBoEBBnfi3O8wQDbIcL7iTAI33Xsc +FXmPAakcx4pOJQJliO6oa48Y4Gnf4/J4FoEbdtifqXrKgJ3sL+1naQRmT1uS +9+cFA0ba3dz2MAgsrChukZYxIKJmfe0qFoHG06WidRUMuJ79ykyTQ2DZ8fh9 +4dUMSH708tYUHoHMTMuv+R8YwFZxZnTxCRQvOhrY3cCAgvUng18ICfS+Gyvg +tzDAuG5nXQZJYN38tM717QwYvaSw8IiYwOneUytOdFN+2RGYsE1K4DvqD3PZ +VwYcyHwyaK1G4H3OTIVpfQwwCfq3Ya4Ggeci1nqvHGSAZumy+wwtAlP3zf0a +85sBpibXRKPaBN7cJJ/y9h/F52rrUx26BJ73XhzKnMiEnVorZN7MoeLT1OI2 +yzLhS9ONg4XzCITJ+nXXpzFByeD65PT5BObvqtowMoMJa746xh2nPqbHnm1V +WDmLCd+DmzX+W0Tgl0q/sSQGEwaXb6zwNiSQDNqo28thQu7JoYMbllDvmZmp +pkImfD3cYGJqTKDv1uq1qWImFOnPmakPBOp3brYcUWOCJEPcq7aMwCn+9dF2 +2kx48exTK2cF1T+5lF44hwnvg1M6Fc0IvKT54DtzARO0r0eOTbYgUFnbgr7f +gAlpSyq1/6wkMGzSlJOfjJgAtFu7+60I/G/bGRerZUyYQW6u+LyKwGdhcRGF +Zky45cpe0b6GQKMPlydLrJjAbmC+b15LoMPugNb4NUyoKjx/sH4dgc0NBTy5 +9UzImNdi/mEDgUfV6A/2OTAh6Zqm7nt7Aj/LrH7c78yEtjTUe+dIzYdcje1u +TLDAbsd3TpTf1puMdXlR87X1pL93IdB9Zyh4+TBhovLMGbWbCHx9+PJApx8T +ak5nJTe4EahbfYC5zZ8JUT0TbVs8KD/5tuX9CGLC6Zqdup1eBE6wyioO3M+E +216met+2EFizLtd24iEmtPTVuQ1uIzDN84PriUgmLCAjHoxuJ9DZTf4bP5rS +63fq0ql+lL+M9EdvnqDwfDj2S2UXhX+KdcKKeCZkhVyuI/YQaDe87G7jWSbM +UV79TXcvgZH/Mb0DkpkQqPtjrnEggY0G5VeU05nQ3Pzl2upgSr85XoG3MpgQ +fSnXYfM+Aqtv9jevvcaEhIOXlvjvJzBqZ/jHXzeY8OvvQocjoQQqJemGJOcz +QVmzJSc5jPJv3ay7pkVMyM6ZviQ/nMCt7msT+h8yQfOx3pTywwSaT5nFTnvK +hGML3s7siCJwrnG46doSJhCxzvZjRwlcMr+GL1vOhDOf7VrYMQTG1S7PeFDJ +BAUhZOvHEvi1S6Fl73smbCy6ULj+JIHj43sr5tQz4d5o79S9cQS65ZQE9jYz +ofrPi/Qz8QSO7LJtvPWJCQOR2eGFCdS9afQb39tN8WmmkVt/lsDuuOCuxd+Y +4P3gg2jsPHXP3KvjZfuZILfCrFOcTOWv7pSv/sWE9ZKZQ5apBK5KJ9ak/2HC +9hPldv5pBM4YGvHwH6f8fpU1LeUSgRarv1tbyLDg9+lExZdXCAwlDswgprHg +n3/P1sFMqp/XvOw/M1jA21fAFmVT+5OTLK6bxYIDXZdFa68TSKjahhUxWXBT +xSPyUC6BnQ96n13gscAtNH15/k2qHofde4hkQWS58qauPAJPlQRP3a7KgqSq +bfWcAgJP6+Asey0WnE1zL7AppOrdyVI2m8MC+rGi/iNF1D5X/pi6aAELbku1 +4vE+gWunOf/TNmSBnfuBpD8PCaSJHvVKTFjQFhkwTf8JgXeY3V3CFSywN2hu +2/OUQOslhZ38lSwQxh2S5j0n8PtKxT7BahZsZ+h96HtB4JM9DdPE61hQWvHi +19yXBLYFzFio6cCCt6bKUXvLCLTPTw+Z78KCsMS+o0WvKb6MzzcudWfBXf9l +E8YqCFQbGN1ou4UFjHmfv6+oIjAwsm3Uy5cFL96WrYt9R927NJeX+3ezYJZM +lV5tDcVfX/zjxEAWSIw/nxTVEbhw8Y2O/BAqvkjGZ2cDgU7BH43fh1H8hbGK +HzURmPPJtWo4kgVX9/PTZrRQ8Up70gQxFH8hShM2tRG4forHLYtTLNi8eKAz +r53S3y5SNjCBBZcCStfJdREYpLngSmYSha/nnJVzD4E899pTDRdZsM3DvzL/ +C4HD1+orlTNYsKdyS5vCdwpPwm0v62ssCF8SE7Gll8D519vsom+yoPnL0N3n +/QQ+iu3NKi9gwTKHl2HkIJUv5+eidJ8F/JVka9gQde/Ufoc4PGFBZ41aXdtv +ArOc5029UsyClAC57Sv+EqgRWyb38xULlKZ/S7o6SuCB2cH7TStZ4NM73Udx +AonJXv92XHjPApXxlIaASSROZYtaB+spfjI//vgoQ2LrrMe1a1tY8O6HYvbK +KSRyWTcdb3ewYM3RvdMLp5GYIfvRh/GFBRoNjiyJAokXvxsphfZSeioqVscr +kvhp9uvVnwcpPwk7DWWVSVROOqXl8IcFZMfCDcEqJAYeTrleNs6CWoGn+Dud +RMPvM9+DLBsyo19nebBITD8389p9eTZEfa7raOSQ6DO7ct4iJTbcnTXUtIFP +4n9Ox/3v0dkwb0Li6SohifU9J3cbc9kw6ePsqWtEJK7u0JlXSrCBkggqJCSG +P3pxf50qG1J8LYzWqJHU/Xym1KHFhp+DlROrNUis3J5kEDyXqmfoccpOm0Ql +7beGSgvZ0Lz8zNcmXRLft/Wzc5aw4W3GH7rXXBKZ7843WS1jQ3+c3qxePRJv +7vY72mvOBqOetk/79ElMPCASn13FhjKzG9FTDUhU1Ai4vWwdG9I55grnFpM4 +uGTekgEHNuTf2uyjYUziCZN5JRmubOgzv5P1EEi8n7jRzsWTDStI2dK1y0kM +uZkywPJhw9TTjPIeU0oP1b9pdTvZUMAoLDxkQeLo54NbkgMo/jwKj/OsSMzd +YmbtGcKGO8F9a+6tovS8EbhhziE2/Lu9fLKDDYmCi2bHJhxhw4W2hOzftiSO +Kfz5/v44G3Tt35le2ECiyfdPx3JPs+HT6I8GEwcSLx9y84g+x4aNvp+2d20k +8cqhjrDtqWx4+Dv37wkXEp3NPvfYXGGD9huHWIPNJH4Y+ZtueI0NNaN94i53 +Kh7v3la/xQbX5JhnZ7xI/PG5hOQWssGuYoWv6VYSh3jtv5QfssH3k4nktw+J +MdE1C2Y8Y8OhLVnfc3aQ+Isd1KPwkg1Xl+aWe+wiUTvpFk25gg2cp9FPef4k +4tC+p+z3lF73w6prA0gs9Gr5pdrAhkWptRMTgqn8C8NFi1rZoBHbYrs+hMTm +iT+U13SxoXNv30t6KImsntEpPt8ov6n6bKkPI/HSff9Lxwaoen4Fcy9GkLhj +UW5P7m82eM4x0doSRSI9h/3pwxgbig6E2889RvmNMEyUkeXAjNtj90ZjSLRJ +SldYOJ0DwceX2L0+QaLFhl/WfsocSLN6Mzsljoof+eZ6jcmBPaWWlrvOkBhZ +b2v5lc8B5gn7bNOz1Dy6Msy5Eg5MG0+14SeRWLyh/3WIJgdSttUsH04mMW+m +YG/5HKqfelHUu4skfn+QTiMWciD+0Qz+7UskaqVmFf5nxIGwXxny8Rkk7ubt +dK9bzoHDEzauC7xK4vRJ1sQSSw4Mxiv8dbpOIu955u8rNhxYPu2a7IobJBo9 +//dzlj0HJh5UD9LNI/HC2VZOlAsHbg8fWcctIPH0mj8BYx4cuBNSnSp/l8Rj +j6co7vfhQN5insu/eyQ+ftr0dWwXB+bmRZzue0jVi/FgHQniwOWnc5d3P6Hi ++5OTaaEc2N3u6N/6jETjwrRDWYc5oGJiqNb0gsT59SlvTWI48LyG69HwkkSd +jobTzXEcaLtiq9VYTt0fKKwKO8eBz2+MDn+sIHE4IjNR4yIHaPfN93RUkShX +Yvi1NoMDj5d1jXx7T+LrYU59TA4HntQnCX/Xkti0YKqPaT4HJt0a6JZtpOqL +mrNk7nNgc0uUPeMjiY4mJ5JfITV/wr89Gm0kXjfXtD1TyoEhQ1kTkw4SfY83 +VHtWcKDykivad5PotrZdfXENB7Tmvfu75wuJ1nOvuDKbOHBdyXDo1HcSXwaf +Cx35xIFE26CCvD4SG2Pt49s+c4DQ2L+45ieJW9cnZFX2cWCtsvmpv0PUvHGi +kufDHAif1HFX8ofEVw7fRx6NcaAwzfeuzSiJ/rsmrn4sy4VM36lnDk4QoVHx +0TfFClyY/Pubbd5kEV5+Ux5RpcKFGobrSKecCMPl5u3v4HChlHbjOF9ehHlO +y56NklzI+WI0y2GGCNkXL7vxNbjU9/bAyQQlEb4c43kvn8MFWsbXaR9URLgq +NLFx50IuhJYwjrCZItyzk11xyZgLV64lK2zmiHDox9uVTaZcsP+smZbNF+FX +T3kn3iou7OQeNB8iRLhVTl/RYz0XbJlbpppJRMi16955y4kLo9pPe86pifBq +bs1xGQ8uzPLe/+OHpgiNS5p2b/LhwoUX54QWulT80lGtp7u58OyIWviVuSIU +LHJ5qfEfF0y9rHgyC0QYVm6x/nwYF1JrFg16LxLhlPvzmmce5cLIBn2lN4tF +uLG/YFfsSYqvnORAfRMRlmjE8Wad5cLDubU6l5eJ8HF43o+UVC6IWJ5LVMxE +2CXU+DUnkwtNhe+vRq0U4cmy+cbluVzwff/mv1FrEQ6fX1zne4fq/2tKYZCN +CA3OVVbRH3Gh9uoaz1/rRBjld8OgpJgLHfWRMYH2IhxUeSYIfc0FBpE27+9G +EW4IJ08ZveeCKy17c4SrCFO2KKfINHGh5DLyZrqL0L9NZsO7di789ub5pXqJ +sGVJamn2Vy5k/J3iPHebCPXybsoc/cmFt06d30t9RTigsYTn95cLfxfraLnv +ouIVggXOk3mQtGUnd8JeESZNLePaTudBILmuJD1IhMnt5RIbFR7YHD6rZx4i +wj4bK0s7Lg8kXSrb+0JFqPrGMsVTzANDk6K9KeEirAqeNDtEiwcap2IdVkeJ +UPFvq1KSHg+OWxUKJkeL8Jzv8fVPF/Mg57lf5YNYyj/G7dP7l/PAKXGGf3Cc +CDNmj1poWPPgjUBmlkEC5T9jbYHPeh60dX8sGD0nwqLs0ZR8Zx7MEJl5liSL +sOeLYaOsFw/G2WPq8WnUfE++9GzewQOP/O7pnldE+FzftqE4gAfmXRMYBldF +WPHw17O5oTy4b+RlMytHhPcWJBVmRfGgwXF1ce9NEeryzF6pnuRBXCAtpCpf +hLHpy2bePMuDzn7d0Lt3Kb7reCmQxgPj2vm16Q9E2NaReaTxKg8272g+eeoJ +hVd/pP1gHg8qXk64HfFchLOf+Jfq3OfBO5dz5iGlIiw1fmLe+YwH+uefbAwq +F2FMbMW+zHIehO0v+BVUSfn5a0vg7vdUPYM60YF3IkzYFGpr1swDyw83v0XV +Uu+cCIm0iwcl1R0uCY0idGxlyCj28uBvlemhqy0ijAzJnzrxNw/GTEvdsF2E +XgZSy7EJfCgVHZZv7hYhset4q6w8H0LjH0eNfRWh99RNHUwVPrjebm2T9Imw +mO7jN5/HBzPzA2o2gyLUCXl31knKh+4YG4+w3yLcHcvdF6vLB9VeSL/zT4TZ +ZYLZZQv5IPi06XvvBDG+OcesUl7Kh+irX9bNlhWjs1LaPk9Lqr+uVZv/NDGm +leebPVvHB9Yn1qVHM8S4ryTPRsuFD2Gn2JcVZokxd7VrwUVvPjjaLOvfzBDj +0v6OWOEuPqR7F52/zxGj6eGGkWv/8WG7YXU2WyjG0Tkm9GURfDhrwZodKhZj +YELYaMdxPmwWmS3sURNjTHfI2/hEPtz2tXprry3G63PCclan8WHgi/XUN3PE +mBFvc4t+jQ8HT2R8N18gxqEk1b89+XxYEt194qWBGMvTCnJePuLDr93Nf1Yb +i3HdMvXOglI+iDfFQOMyMbY3ab/IreKDNWfOzh3mYvwi+bEjv5EP9jZmibLW +Yqx6wZlY0skH8nXki8s2YjQWdKd19vJh8aMOBYsNYlQfm7lr1h8+nBs/t3/A +UYzFh5vjrGUEoLiHLb3sKsa3yqqaZxQFUL5ByNzoIUZvo7Uun1kCmJKX5cHc +StUf2GhjLRZA89NBbqOvGIXnPqg/0hGAXtDJtRm7xdiydkBhySIB3BiyYAQG +UvOv2yd+tUwASepL9q8KEeOiNU3xnqsE0GFbmaAVJsYpY5pRig4C0Hh8J0Ap +Uox1RaS41F0AWzz7df8dE6P1PPUzJ3YIIC/3/fsfJ8TYudJuslewALQNZEJ6 +4in+h4IuWEYIoPtW8ILP58RYsUb5qMkJARjmhLH6U8S4u8D91/LzAjC6+GzR +hMtifK6yQ8nhigAMGo2vM66KcYbFkNz+mwK4kLg2cn6uGN0vxk65dV8A2fJ3 +mhxvi3F9xKmlgy8EkHYxojTqLqWXwexOiyoKn8TQ+cFDMVbX7BbfaBLAU/79 +vOGnYkxYaqQr6RHARoF1y+JSMQ4fcFh0/acAihZf+nfktRiDhncHLB+n+kc3 +kE1VYnyiKOV8lxeC8+1DWxbVUnirxp2uMoSgm5zQldwkxlvlR3cHiITwTvVo +0bRPYtzMMz29XlcIM8eWDod2i/Fk7uMhU0MhKIdLH/37JkaZ5Oi6lWZCMC1W +lkYMiNGpfs2ezbZU/kUvy1m/xfjq35vxY65CaOyetPLaqBjPrO14VOIjBP/b +a42sJkuwbNb5L4wgIXwoWr7i11QJbv1GvNgXIYSOWvuQq4oS9L3fFTtwUggn +clMmeNEkOPJffFRoshBurbo3oMmRYGEsY0CQLYRsfveuP0IJyhjfoL2/I4Sv +5eNJ76QSdDzYp5f6TAi2W/fHFWpJsE72feKBSqp/2r6Ay3MlWHrlXuSeJiG4 +C59uTVoowWbZQMsDn4XgwSiOvWAkwZmXnOakDgnBqiN7StZyCVrGiZ59mUjA +1u9r/jxcKcEiBZuyuKkELEteE928hppH7qHDipkEeByb3DzVToKP/0DiJAYB +E2uPs0ycqfcpZ3Je8wjYdLfOI8xdgreZViWXxAT4amV2vd4qwQ8L2hUjNQlI +/BbzSrJTgi3i0tv+cwkYihtbcDRAggGz7Vr8FhHQ12dnNxwiwc7FX58FmhDQ +fqNuw55wCb5hdByPMSOgkHVv88hRCSYoZ+/IXUXACUPVK8dPUvzWFyQ2rSdg +bO7q1dqJEpxzJdmQ7UzAzkrvE3XJEpyRyYr18CBgacidM3GXJajcrPD8gQ8B +ztvPnra/JsE4rdOzRHsIWCiKvq+ZJ8HA6vHbif9ReMznw/QiCe43/9XEPkRA +dY2fw8hjCXb5eJZdP0pA8OXVBr9eUO/S5ELrUwQMrNTljL+WYIj/uo//zhIg +H1Ckx3wvwcsfCw4+vEhAx7mBJ0aNFB5fn4aYLAKGaRZ/9nyi+J9+bfb2mwTs +LU8Q3v0swdlhy55tvEtA9gJ9P/l+CZo0Xv2w8QkBJ3tnqO74LcG2/XL520sJ +cKw8d7RlXIKb880vxlYSsPjYcJ3bFCkO/9DsxFoC6K2jToOKUvS4bPNWtpWA +b0FLHc4ypDj/ndUN5x6KXzMNhpVAimn2+RUv+gggCkdbZqpK8UCLXsTSEQJy +doxM7NKRYn/xJeHbiSTk9Gwse7NAihvylf/slifhS3ngsVIjKZbptPuoqZCg +oVge985UijdkW1/3cUkwm6CyaGCVFGPLVx2g/qeDlonzO7GdFF9byTWhDgkX +L/IebXWVYi3nlNVLfRKimSvXPvWWorrNormdJiS8e7rjh85OKUb8p/OLuZKE +DNnSXzeCqP5vL0xysyVh9xen8hVhUpR9X1aKTiQMFrE/9B6VopvdksKFXiS8 +/NV38FacFLVk3ywr8SPh6pOfC44kSXFV2odO32ASCh4FbN17WYoZjeu42uEk +9CXrxATnUO+EnIfMcRIYqxzoZ+5IcUA7BYYSSHjwr/lQ6WMpzq5qXTwpjYTt +Cv+tUXkpRZe6plb1ayR0TG+ZEFwlxVGDmehTQILVh6+8oQYpur895/fyMQk+ +0yp1T3RIse/Grqhlr0go6V1cAj+keNw4KbP+HQmJE5ODFH9LcczV1f/ERxKE +C1c0DU9URf+iI4lun0l4tj739Oh0VZwcdOnJukESqrxvGhMMVZyVZnLFa5yq +dx6PbSZU8e/GJRPOyYvA9dlC8RNNVfznPCPxK10Ea56dxiULVDG2THG2GymC +9Yyn/AYTKr+j7sKItgheNe8ZPWupiu/enS+4s0gEP6/7agRtUMXuiQGOiStE +MBrWuid4M1XfqmdPso0ILJe9vp28XRXpaQsHXjqLoErdtawjUBWnBLRU8baJ +oPHspstrw1WxJUWRcT5ABE5VmXM6YlXRla3+xjhcBP38U34p51VxWugqpZkn +RXB4LNQjNEMV36QPTJ6eLAKFf1uIo3mq+GJzSJ1etggiPns8ffBIFS/O7yiL +LhSBkvEqP06ZKh68GihVLhaB+NBWp4wPqpgZHg0vq0RwJJ5V5tKuiiFd6yPy +WkSwelLaNNM+Cn9CiWfFdxHcCOwLch5VxfkJ+3yJfyIo2XMsPENeDTsbCvWy +5cXg0rYli2SpoSgyzNuHLYaUjimB1VI1TDv6othLXQyfru07dU9PDf0epohT +ForhtsrpnLqlanjqWobfLHMxOLpJEubaqCE3NiC71E4Mc/V9tEpc1dBsycL+ +x95iaN/z39ZzO9Swa41r6J9AMZhOaHW9tl8Ni99HZu4/IobK625LxmLUcNLx +oI/m56j8V01WiRfUsEPs9tA1WwyZDx2H915Xw70uS/48vy+GyTMsy5IfqGHI +053B+16L4a3JP3+l12q4U/UGRH4Ug62dZVl1kxr+2cA71t0nBrtHx153fVfD +qT+K716ZLIHNS4sz14yrYWuRhzcyJKCdseyOkrI6LjSM9zbWlACjbc9RHbE6 +/t63tURkLIFb5gs+Zy9Qx7ZZMTW7bSXw+mJK8zELdVy8rV5zzhYJpPIW3qhy +UkfXu9evue+XgEl409fIner4eXl5rOJpCUw5uCjweoQ6OobpbzO4KoEbxrIR +5ufUscGwUv/zYwlcDVTN3JSrjqfO0zZJPkjgttujhpFn6vg2TKm4/7sEarKc +Ynn16thkmvXGQU4KnMGwrIpedbQtDgtyE0pB41JiMnOKBqbse72ZZiAFLM0M +HhdooMNl3Y/71klhvwuz/8RCDXw8pqd40U8KdX8wqNJGAzXyHvbFREvBQKHM +ptxHA18s6jq0KksKMntfXI+N1MAtzez6vmIpjA7cQFG6Bka9nLbqcLsUtk4P +7z/7SAN/TE5IYU5Whb9K6/r/NmjgfuMSyUOxKpg9njbgOqKBvQa+SpGmqmCZ +I2qoZmmiZa525pGtqiDns+jwdgNNrLXdfabxuCr4bomRN3HSxEAV/XUXbqtC +7l8n0jtUE4fTks911KvCHd+iiH+XNNGj0barbpIaHOMEBpGvNBGTfPVTddTg +mnWk3+8+TTxM7nu7aaMaGAxUv8nmaOHq4gzbNcfUoO3KvQ4PMy2UmrWOZdxX +g+amYbHzXi2sd1jonvlDDSr/e3P17RUt1CuwDkiVqsPsDFUD+TotdHVSdP+y +SR2Soyc3uCpqo5N+me7vFHUQT+tfvMBCG7knH+Vat6qDja+T3bQobXRbem9p +tJoGBM27VbTnpTaef1bguG+vBvjt43jqKOng1USdmdyXGlBTEHBI1VUH8/26 +zfLFmhC9/5jmyXwd/B8UcW+8 + "]]}}, + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, { + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + 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->{ + 3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, { + 3.799278280790374*^9, 3.7992782900937853`*^9}, 3.799278351439066*^9, + 3.799278389225691*^9, 3.799278514536735*^9, 3.799279638687525*^9, + 3.7992802283585567`*^9, 3.7992802816319723`*^9, 3.799280326016467*^9, + 3.799280361536272*^9, {3.799282857616042*^9, 3.799282866676395*^9}, + 3.799283537427549*^9, {3.799295371728037*^9, 3.799295401244904*^9}, + 3.7992954329027147`*^9}, + CellLabel-> + "Out[1251]=",ExpressionUUID->"c9133887-e37a-411f-905e-80cc89d82b81"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A_", ",", "B_"}], "]"}], "[", "X_", "]"}], ":=", + RowBox[{"With", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"Y", "=", + RowBox[{"B", " ", "X"}]}], "}"}], ",", + RowBox[{ + FractionBox[ + RowBox[{"A", " ", + SuperscriptBox["B", "2"]}], "\[Pi]"], + RowBox[{ + FractionBox["1", + RowBox[{"9", " ", + SuperscriptBox["Y", "5"]}]], + RowBox[{ + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3"}], " ", "Y", " ", + RowBox[{"(", + RowBox[{"3", "+", + RowBox[{"13", " ", "Y"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + FractionBox["1", "Y"]], " ", + RowBox[{"(", + RowBox[{"9", "+", + RowBox[{"10", " ", "Y", " ", + RowBox[{"(", + RowBox[{"6", "+", + RowBox[{"7", " ", "Y"}]}], ")"}]}]}], ")"}], " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + FractionBox["7", "3"], ",", + FractionBox["1", "Y"]}], "]"}]}]}], ")"}], " ", + RowBox[{"Gamma", "[", + FractionBox["7", "3"], "]"}]}]}]}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.7992864929128017`*^9, 3.7992864934010773`*^9}, { + 3.799294959002634*^9, 3.799294959113867*^9}, {3.7992954856104107`*^9, + 3.799295498642445*^9}}, + CellLabel-> + "In[1264]:=",ExpressionUUID->"029c50a5-aec2-42c8-ac11-3a4858720a4d"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"\[ScriptCapitalY]3Dtmp", "=", + RowBox[{"Limit", "[", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", "B3D"}], "]"}], "[", "X", "]"}], ",", + RowBox[{"X", "\[Rule]", "0"}], ",", + RowBox[{"Direction", "\[Rule]", "\"\\""}]}], "]"}]}]], "Input",\ + + CellChangeTimes->{{3.799287299636573*^9, 3.799287338355678*^9}, { + 3.799295515739479*^9, 3.799295522211536*^9}, {3.799296630684188*^9, + 3.7992966315015707`*^9}, {3.799296829354424*^9, 3.799296844345419*^9}}, + CellLabel-> + "In[1298]:=",ExpressionUUID->"454b880c-47eb-4e4d-8978-3de860e692a7"], + +Cell[BoxData[ + RowBox[{"0.012725299867596046`", " ", "A"}]], "Output", + CellChangeTimes->{{3.799287332585656*^9, 3.799287339122821*^9}, + 3.799295524097727*^9, 3.799296066680077*^9, 3.799296638005451*^9, + 3.799296848111058*^9}, + CellLabel-> + "Out[1298]=",ExpressionUUID->"cba38efa-fcdc-4bb8-942d-1e8a7104663e"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[Theta]c3D", "=", + RowBox[{"Sqrt", "[", "1.331", "]"}]}], ";"}]], "Input", + CellChangeTimes->{{3.7992956232358637`*^9, 3.7992956519008923`*^9}}, + CellLabel-> + "In[1286]:=",ExpressionUUID->"f9f845e9-c36f-4e5a-bfe9-292fc44831d1"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"e13D", "=", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]c3D", "2"]}], "]"}], + RowBox[{"-", "\[Gamma]3D"}]], "\[ScriptCapitalY]03D"}], "\[Equal]", + RowBox[{"Y0", "+", + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", ")"}], "2"], + "\[ScriptCapitalY]3Dtmp"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}], + "[", + RowBox[{"2", " ", "\[Theta]c3D"}], "]"}]}]}], "/.", + RowBox[{"{", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}], + "}"}]}]}]], "Input", + CellChangeTimes->{{3.799293306544406*^9, 3.799293348282279*^9}, { + 3.799293389378928*^9, 3.799293465516193*^9}, {3.799293496245105*^9, + 3.79929353236604*^9}, {3.799293944292547*^9, 3.799293948619625*^9}, { + 3.7992946328154297`*^9, 3.799294635157052*^9}, {3.7992947681206636`*^9, + 3.799294788279757*^9}, {3.799294833171996*^9, 3.799294834368535*^9}, { + 3.799294883394321*^9, 3.7992948873526077`*^9}, {3.7992955323801394`*^9, + 3.7992955334357758`*^9}, {3.799295654581544*^9, 3.799295707518375*^9}, { + 3.799296072308981*^9, 3.7992961034372272`*^9}, 3.799296432792838*^9, { + 3.7992966268810177`*^9, 3.799296643414949*^9}, 3.79929687157719*^9}, + CellLabel-> + "In[1301]:=",ExpressionUUID->"df638158-aa8b-4fba-b5d3-00f11ac33898"], + +Cell[BoxData[ + RowBox[{"3.889266018137855`", "\[Equal]", + RowBox[{ + RowBox[{"1.6151797823173761`", " ", "A", " ", + SuperscriptBox["h0", "2"]}], "+", "Y0", "+", + RowBox[{ + FractionBox["1", + SuperscriptBox["h0", "3"]], + RowBox[{"0.004489885382652656`", " ", "A", " ", + RowBox[{"(", + RowBox[{ + RowBox[{ + RowBox[{"-", "3.6232038623578156`"}], " ", "h0", " ", + RowBox[{"(", + RowBox[{"3", "+", + RowBox[{"15.7005500702172`", " ", "h0"}]}], ")"}]}], "+", + RowBox[{ + SuperscriptBox["\[ExponentialE]", + RowBox[{"0.8279964677581617`", "/", "h0"}]], " ", + RowBox[{"(", + RowBox[{"9", "+", + RowBox[{"12.077346207859385`", " ", "h0", " ", + RowBox[{"(", + RowBox[{"6", "+", + RowBox[{"8.45414234550157`", " ", "h0"}]}], ")"}]}]}], ")"}], + " ", + RowBox[{"ExpIntegralE", "[", + RowBox[{ + FractionBox["7", "3"], ",", + FractionBox["0.8279964677581617`", "h0"]}], "]"}]}]}], + ")"}]}]}]}]}]], "Output", + CellChangeTimes->{3.7992966440363903`*^9, 3.799296872453184*^9}, + CellLabel-> + "Out[1301]=",ExpressionUUID->"23c1b6c7-ab06-4221-bdce-dc59bf15e488"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"e23D", "=", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{"h0", " ", + RowBox[{"g", "[", "1", "]"}]}], ")"}], + RowBox[{ + RowBox[{"-", "\[Gamma]3D"}], "/", + RowBox[{"(", + RowBox[{"\[Delta]3D", " ", "\[Beta]3D"}], ")"}]}]], + "\[ScriptCapitalY]\[Infinity]3D"}], "\[Equal]", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}], + "[", + RowBox[{"(", " ", + RowBox[{"\[Theta]c3D", "-", "1"}], ")"}], "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], "B3D"}]}], "]"}], "[", + RowBox[{"(", " ", + RowBox[{"\[Theta]c3D", "+", "1"}], ")"}], "]"}]}]}], "//.", + RowBox[{"{", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}], + "}"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.799293535329914*^9, 3.799293628024756*^9}, + 3.799293710287335*^9, {3.799293742130342*^9, 3.799293745305656*^9}, { + 3.799294643782908*^9, 3.79929465041063*^9}, {3.7992957198708572`*^9, + 3.7992957645193663`*^9}, {3.79929703842138*^9, 3.79929703960491*^9}}, + CellLabel-> + "In[1304]:=",ExpressionUUID->"c0c46965-f82b-4e8b-88ed-f4f28f2c67b6"], + +Cell[BoxData[ + RowBox[{ + RowBox[{"e33D", "=", + RowBox[{ + RowBox[{ + RowBox[{"\[ScriptCapitalY]03D", " ", "CpCm"}], "\[Equal]", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}], + "[", "\[Theta]c3D", "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], "]"}], + "[", " ", "\[Theta]c3D", "]"}]}]}], "//.", + RowBox[{"{", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], "]"}]}], + "}"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.799293635739888*^9, 3.7992936811455317`*^9}, + 3.7992937131996727`*^9, {3.799294654615035*^9, 3.799294705980193*^9}, { + 3.7992957832084217`*^9, 3.79929584176059*^9}, {3.799296445244162*^9, + 3.799296466819972*^9}, {3.799297041741557*^9, 3.7992970424849653`*^9}}, + CellLabel-> + "In[1305]:=",ExpressionUUID->"8adb6e30-20f5-45cb-9c55-4ec95d9bb1e5"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"s3D", "=", + RowBox[{"FindRoot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"e13D", ",", "e23D", ",", "e33D"}], "}"}], ",", + RowBox[{"{", + RowBox[{ + RowBox[{"{", + RowBox[{"h0", ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"A", ",", "1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"Y0", ",", "10"}], "}"}]}], "}"}], ",", + RowBox[{"MaxIterations", "\[Rule]", "1000"}]}], "]"}]}]], "Input", + CellChangeTimes->{{3.799293682172894*^9, 3.799293695216408*^9}, { + 3.799293760299116*^9, 3.79929377307885*^9}, {3.799294719711046*^9, + 3.799294723430684*^9}, {3.799295847448813*^9, 3.799295856984758*^9}, { + 3.7992963975231113`*^9, 3.799296410962158*^9}, 3.799296654536236*^9, { + 3.799297045125246*^9, 3.7992970467965803`*^9}}, + CellLabel-> + "In[1306]:=",ExpressionUUID->"82226aa9-8b56-41bc-a924-e2b08acd3ef1"], + +Cell[BoxData[ + RowBox[{"{", + RowBox[{ + RowBox[{"h0", "\[Rule]", "0.6774547688778286`"}], ",", + RowBox[{"A", "\[Rule]", + RowBox[{"-", "1.3758082418801523`"}]}], ",", + RowBox[{"Y0", "\[Rule]", "4.933840639282916`"}]}], "}"}]], "Output", + CellChangeTimes->{{3.7992937014548283`*^9, 3.799293718387292*^9}, { + 3.799293755038495*^9, 3.7992937735332413`*^9}, 3.799294673540114*^9, { + 3.799294717062633*^9, 3.799294724300838*^9}, 3.799294895103196*^9, { + 3.7992958488125677`*^9, 3.799295857271027*^9}, 3.799296077247851*^9, { + 3.79929639785399*^9, 3.799296411177785*^9}, 3.799296446169361*^9, { + 3.799296649378996*^9, 3.799296655062509*^9}, 3.799297047237068*^9}, + CellLabel-> + "Out[1306]=",ExpressionUUID->"8b88c908-da54-4063-a248-e83bf5464ee1"] +}, Open ]], + +Cell[BoxData[ + RowBox[{ + RowBox[{"func3D", "=", + RowBox[{"Sort", "@", + RowBox[{"(", + RowBox[{"Reverse", "/@", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[Theta]", ",", + RowBox[{ + RowBox[{"h0", " ", + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["\[Theta]", "2"], + SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], + RowBox[{"\[Theta]", "/", + SuperscriptBox[ + RowBox[{"Abs", "[", + RowBox[{"1", "-", + SuperscriptBox["\[Theta]", "2"]}], "]"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]}]}], "/.", "s3D"}]}], + "}"}], ",", + RowBox[{"{", + RowBox[{"\[Theta]", ",", "1.0001", ",", + RowBox[{"\[Theta]c3D", "-", "0.00001"}], ",", "0.00001"}], "}"}]}], + "]"}]}], ")"}]}]}], ";"}]], "Input", + CellChangeTimes->{{3.7992951544690027`*^9, 3.799295210246323*^9}, { + 3.7992954268105373`*^9, 3.79929542921747*^9}, {3.799295911394224*^9, + 3.7992959366660748`*^9}}, + CellLabel-> + "In[1307]:=",ExpressionUUID->"237d7286-580d-4ed0-8a35-0ecabe3963ad"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"\[ScriptCapitalY]3DScho", "=", + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{"#1", ",", + RowBox[{ + RowBox[{ + RowBox[{ + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["#2", "2"], "-", "1"}], ")"}], "\[Gamma]3D"], + RowBox[{"(", + RowBox[{"Y0", "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], + "]"}], "[", + RowBox[{"\[Theta]c3D", "-", "#2"}], "]"}], "+", + RowBox[{ + RowBox[{"\[ScriptCapitalY]3D", "[", + RowBox[{"A", ",", + RowBox[{ + FractionBox[ + RowBox[{"h0", + RowBox[{"(", + RowBox[{"-", + RowBox[{ + RowBox[{"g", "'"}], "[", "\[Theta]c3D", "]"}]}], ")"}]}], + + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + SuperscriptBox["\[Theta]c3D", "2"], "-", "1"}], ")"}], + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}]]], " ", "B3D"}]}], + "]"}], "[", " ", + RowBox[{"\[Theta]c3D", "+", "#2"}], "]"}]}], ")"}]}], "/.", + RowBox[{"g", "\[Rule]", + RowBox[{"Function", "[", + RowBox[{"x", ",", + RowBox[{ + RowBox[{"(", + RowBox[{"1", "-", + FractionBox[ + SuperscriptBox["x", "2"], + SuperscriptBox["\[Theta]c3D", "2"]]}], ")"}], "x"}]}], + "]"}]}]}], "/.", "s3D"}]}], "}"}], "&"}], "@@@", "func3D"}]}], + ";"}]], "Input", + CellChangeTimes->{{3.799295240237157*^9, 3.79929535080898*^9}, { + 3.799295392834118*^9, 3.799295397865663*^9}, {3.799295944987698*^9, + 3.799295989059061*^9}, {3.79929735637096*^9, 3.7992973575144157`*^9}}, + CellLabel-> + "In[1318]:=",ExpressionUUID->"0abc4e78-2b2b-44c2-b76e-2756938af114"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"142941.56336813187`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1318, 861, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992973578631287`*^9}, + CellLabel-> + "During evaluation of \ +In[1318]:=",ExpressionUUID->"d5e12713-0108-40d9-ab51-55f3f3cc5e76"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"94874.84537493232`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1318, 862, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992973579337597`*^9}, + CellLabel-> + "During evaluation of \ +In[1318]:=",ExpressionUUID->"00de938a-94f9-45ea-9088-62843a9a493f"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"71002.79346975885`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1318, 863, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.7992973579466352`*^9}, + CellLabel-> + "During evaluation of \ +In[1318]:=",ExpressionUUID->"295fa1ec-86a9-4d76-b506-82d387a4b171"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1318, 864, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.799297357996706*^9}, + CellLabel-> + "During evaluation of \ +In[1318]:=",ExpressionUUID->"ba543359-6764-408c-9c9e-fd4261aef828"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Show", "[", "\[IndentingNewLine]", + RowBox[{ + RowBox[{"ListLogLogPlot", "[", + RowBox[{"data3D", "[", + RowBox[{"All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"B3D", + RowBox[{"#H", "/", "#T"}], " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Beta]3D"}], " ", "\[Delta]3D"}]]}], ",", + RowBox[{ + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], + SuperscriptBox[ + RowBox[{"(", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc3D", "-", "#T"}], ")"}], "/", "#T"}], ")"}], + "\[Gamma]3D"], "#T", " ", + SuperscriptBox["#L", + RowBox[{"-", "#D"}]]}]}], " ", "}"}], "&"}]}], "]"}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"LogLogPlot", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\[ScriptCapitalY]03D", ",", + RowBox[{"\[ScriptCapitalY]\[Infinity]3D", " ", + SuperscriptBox[ + RowBox[{"(", + RowBox[{"Y", "/", "B3D"}], ")"}], + RowBox[{ + RowBox[{"-", "\[Gamma]3D"}], "/", + RowBox[{"(", + RowBox[{"\[Beta]3D", " ", "\[Delta]3D"}], ")"}]}]]}], ",", + "\[ScriptCapitalY]3D1"}], "}"}], ",", + RowBox[{"{", + RowBox[{"Y", ",", "0.0001", ",", "1000"}], "}"}], ",", + RowBox[{"WorkingPrecision", "\[Rule]", "40"}]}], "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"ListLogLogPlot", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"B3D", " ", "#1"}], ",", "#2"}], "}"}], "&"}], "@@@", + "\[ScriptCapitalY]3DScho"}], ",", + RowBox[{"Joined", "\[Rule]", "True"}], ",", + RowBox[{"PlotStyle", "\[Rule]", "Black"}]}], "]"}]}], + "\[IndentingNewLine]", "]"}]], "Input", + CellChangeTimes->{{3.799265184544363*^9, 3.799265200041749*^9}, { + 3.799265715899272*^9, 3.799265733210948*^9}, {3.799266549587083*^9, + 3.799266565121595*^9}, {3.799267354257635*^9, 3.799267355496191*^9}, { + 3.79926747907583*^9, 3.799267528491227*^9}, 3.799267982133749*^9, { + 3.7992686515454407`*^9, 3.799268658975692*^9}, {3.799275155759755*^9, + 3.7992751909440804`*^9}, 3.799275556471552*^9, {3.799276266609137*^9, + 3.799276277960126*^9}, {3.799296004468487*^9, 3.79929600654751*^9}, { + 3.7992967433050747`*^9, 3.7992967513997498`*^9}, {3.799297529778729*^9, + 3.799297583902081*^9}}, + CellLabel-> + "In[1321]:=",ExpressionUUID->"ba8964ad-1f29-4021-8973-9b17293caeb3"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10018.197871255481`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1321, 879, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.799297584240995*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"2dd699f1-8e13-4516-9a3b-94be0b77af32"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{FractionBox[\\\"0.09352437520604967`\\\", \ +SuperscriptBox[RowBox[{\\\"(\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \ +\\\"Charting`Private`pvar$15457382\\\"], \\\")\\\"}], \\\"0.7912242582977963`\ +\\\"]], \\\"-\\\", \\\"0\\\"}], \\\",\\\", RowBox[{SuperscriptBox[\\\"\ +\[ExponentialE]\\\", \\\"Charting`Private`pvar$15457382\\\"], \\\"-\\\", \ +\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{\\\"0.09352437520604967`\\\", \\\" \\\ +\", RowBox[{\\\"Im\\\", \\\"[\\\", FractionBox[\\\"1\\\", \ +SuperscriptBox[RowBox[{\\\"(\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", \ +RowBox[{\\\"\[LeftSkeleton]\\\", \\\"30\\\", \\\"\[RightSkeleton]\\\"}]], \ +\\\")\\\"}], \\\"0.7912242582977963`\\\"]], \\\"]\\\"}]}], \\\"-\\\", \\\"0\\\ +\"}], \\\",\\\", RowBox[{RowBox[{\\\"Im\\\", \\\"[\\\", SuperscriptBox[\\\"\ +\[ExponentialE]\\\", \\\"Charting`Private`pvar$15457382\\\"], \\\"]\\\"}], \\\ +\"-\\\", \\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\ +\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 880, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.7992975843278112`*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"048f8f30-b4bd-4b7a-8c04-81815146eb59"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{\\\"True\\\", \\\",\\\", \\\"True\\\", \\\",\\\", \ +RowBox[{RowBox[{\\\"0.09352437520604967`\\\", \\\" \\\", RowBox[{\\\"Re\\\", \ +\\\"[\\\", FractionBox[\\\"1\\\", SuperscriptBox[RowBox[{\\\"(\\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", \ +\\\"Charting`Private`pvar$15457382\\\"], \\\")\\\"}], \\\"0.7912242582977963`\ +\\\"]], \\\"]\\\"}]}], \\\"\[LessEqual]\\\", \\\"0\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"Re\\\", \\\"[\\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", \ +\\\"Charting`Private`pvar$15457382\\\"], \\\"]\\\"}], \\\"\[LessEqual]\\\", \ +\\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 881, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.799297584412706*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"5b9502a7-8a5b-4717-89cd-745cff8faddd"], + +Cell[BoxData[ + TemplateBox[{ + "LogLogPlot", "precw", + "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \ +RowBox[{RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\"-\\\", \ +\\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15457382\\\"}]], \\\" \\\", \ +RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \\\" \\\", \ +SuperscriptBox[\\\"\[ExponentialE]\\\", \ +\\\"Charting`Private`pvar$15457382\\\"], \\\" \\\", RowBox[{\\\"(\\\", \ +RowBox[{\\\"3\\\", \\\"+\\\", RowBox[{\\\"13\\\", \\\" \\\", \ +RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"+\\\", \ +RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", SuperscriptBox[\\\"\ +\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\ +\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]]], \\\ +\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"9\\\", \\\"+\\\", RowBox[{\\\"10\\\", \ +\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\ +\\\"ExpIntegralE\\\", \\\"[\\\", RowBox[{FractionBox[\\\"7\\\", \\\"3\\\"], \ +\\\",\\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}]]}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +\\\"Charting`Private`pvar$15457382\\\"}]], \\\"-\\\", \\\"0\\\"}], \\\",\\\", \ +RowBox[{RowBox[{\\\"0.007075071428571428`\\\", \\\" \\\", RowBox[{\\\"Im\\\", \ +\\\"[\\\", RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{RowBox[{\\\ +\"-\\\", \\\"5\\\"}], \\\" \\\", \\\"Charting`Private`pvar$15457382\\\"}]], \ +\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"3\\\"}], \ +\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \ +\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", \ +RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \ +\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"+\\\", \ +RowBox[{RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\ +\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"Plus\ +\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\ +\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\" \\\", RowBox[{\\\"ExpIntegralE\\\", \ +\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\ +\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], \\\"]\\\"}]}], \\\"-\\\", \\\"0\\\"}], \ +\\\",\\\", RowBox[{RowBox[{\\\"Im\\\", \\\"[\\\", SuperscriptBox[\\\"\ +\[ExponentialE]\\\", RowBox[{\\\"-\\\", \ +\\\"Charting`Private`pvar$15457382\\\"}]], \\\"]\\\"}], \\\"-\\\", \ +\\\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \ +(\\!\\(\\*RowBox[{\\\"40.`\\\"}]\\)).\"", 2, 1321, 882, 31360694400660719236, + "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.79929758443327*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"4f6b3384-f093-44d4-8e9b-4c713449ca2e"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"LogLogPlot\\\", \ +\\\"::\\\", \\\"precw\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1321, 883, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.799297584514369*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"e60795cf-67d6-41ad-8827-2e5407299305"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10021.487504027005`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1321, 884, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.799297584524785*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"a8d095ae-2cc3-4dab-ab2e-16050fe76f30"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"10021.487504027005`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 1321, 885, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.799297584545985*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"b80aaa28-cd90-493d-ab93-5f4473e90377"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 1321, 886, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{ + 3.799265200449648*^9, {3.799265283555154*^9, 3.7992652988504677`*^9}, { + 3.7992665365504723`*^9, 3.7992665660647182`*^9}, 3.79926721423739*^9, { + 3.799267355773919*^9, 3.799267378481256*^9}, {3.799267486771858*^9, + 3.7992675290499287`*^9}, 3.799267982753262*^9, 3.799268083338706*^9, + 3.799268151925921*^9, 3.799268659627939*^9, {3.7992751719893436`*^9, + 3.799275191289053*^9}, {3.799275462385988*^9, 3.799275514616233*^9}, { + 3.799275556881496*^9, 3.799275570668408*^9}, 3.7992756138433447`*^9, { + 3.799276019786498*^9, 3.799276033876482*^9}, {3.799276209899026*^9, + 3.799276278144652*^9}, 3.799280764390149*^9, 3.799296006952367*^9, + 3.7992960809907503`*^9, 3.7992964526630497`*^9, 3.799296721463051*^9, + 3.7992967516698313`*^9, 3.7992970514324093`*^9, 3.799297369334264*^9, { + 3.799297565541545*^9, 3.79929758463486*^9}}, + CellLabel-> + "During evaluation of \ +In[1321]:=",ExpressionUUID->"8e890619-0fd5-48db-87ea-ca5bdbd7894b"], + +Cell[BoxData[ + GraphicsBox[{{{}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.009166666666666668], + AbsoluteThickness[1.6], PointBox[CompressedData[" +1:eJw9lVk81YsahheWZR4WlmW2UWQjRaVD+itjppIiMpU585RKCgk7UpqURnNl +KLEi4fsQG9kyhCRTZKZkXomzz825eH/P5XP3vHInAw67s5JIpL//3f+YwAga +7f8ijRMGEaIvjiaAi6JAk6+KNB5nL4tYrIsFS09T34QGSZyyCokqPhEFpv43 +4kTpknidyXk1KSII5AfUT2W5SyB/gDyY+d8Am/hbWhol4ljhM5J5Z/4BSIUY +bQZWcZSKzC0YwCKwEIyts7AS+7+vfNOAR+9jOk6o/RP+2aIICmYNLL1nRZEI +vn9JwykPdvEeHV3eI4pTXfw+Nn+WgEBjlvvlRBoe1zLQFRWqgNgiiw7hzyJo +2JPczpLKALqgRlr6FhEMjaEY34kGWHkXFqceLozmiU8CsnRroMhZ72JlnRCy +LJMWNqvWgfEp/xAzESH85dUnad5XDz0Nh7V7TlJR28Gn3lyxCcoj7yh6Fgni +fVp47GzYBxhYL9g0vSGAbqRoqvR6O1CNZJQoD/nxTQmDfvFAF2ixjZXIafOh +mvetvfVDXUCcifLd082DPZWDtlVWvfADE9jtQrmRshRhukgdgNulzp5hVC4M +dWDRYMsbgrehWxavF3KgT2Wz5vvGEeA6OUUrMKNg7X3LeMeWbxCm0WTYME7G +CqeiuRtx4yChnJ47cpkNOaZICU+Yk0CMeu8kKbCi1bK+lNrhWUjuULWRQhL2 +KQ469bj9gOHIJp3A8nUY75d6tCH4E/bsrPuQu/AL0kYyahTa5yH+hc1U/9ZV +kI+psyvcuwhzLMW1NO8luLegYNKuvgxJPGMO5pnzkFFidtpn9yoYiJkciuv7 +AZzn7PWbZpggu7m4+5z6NMw8eJ0227wG840+CeOZo3CxXkE67c46YIv1s+Ni +QxDYceEc91kSasyo6N8U7wYRmm66oAMLVuUPnxwgN4ClVWf4ah4rMkluDie9 +r0LmdA6n+iM2fCmVpvnM9h3xdCGE5FNGxvy4hvKf+zsJNb8gW7+37IiW+xR5 +1AYJl0Wurb8mKLg8KRh/66MM+rZEuUpHhkCO0KGncgoyWFBQrVX3OAa6rq1t +exEkjYErFMO3G5ehq3WZ06daCnnUgl06dgXDNfsOt/f8Uljq6i1qkB0JXu8D +TewcJbHbKWO7m+Zp2JN51X4sTwLNt5t5Vn7NgKO8+ZOhTHFcjGD9+tslFQ4L +L5DZDojjgTa2oO2v78OfsSnj11PF8PTqcesle19wUl1iyIzSsSw9OS+x/Bko +iD3NzNtBR9lqckesRyYcYXzT174kin+Mxd/rt3kJNY163/5uo+GJd/6Fdl9e +A+NmTvPRP2hIXhooe5z2CvYWvXYb8RfBUjsvOUoLAt2fMhJUKYxq7WdXclff +QJLNCysSrzAuX4+aWKdVgSzjpliyvRC+UM2PtW+qBtKpbrLUMyo6PpyKXZJo +hDfkjN/PlgVx85F8+qjxe7AUaJ3TMhJE3b9x+gu1FWp6vYISlQXQlq/pnGRf +G8Qa/jiQW8+HQgECA9bpnTBrEiRX58qLQWxKjhj1Cf64PqQwQOLBjuqt6t6p +vWBk8byI+ZAL7f25vrctDoBljb43TYcT3z4+tl0Xv8IGtzmrxicKdj0tWCv5 +PAxZLApulmHseNWVQ2BbxSg0VU3NeQuRUYKh88Ri0wSI5xcKxb1gxYLjPE4S +e6fh0vmr+9PNWTDeZTxr55NZsBptMIno2IBWy68xRRJz8NDF3u0V32+wvugk +BeU/QUdnMHvSmAkkRsuzS1cWgFXIaqd8zDKkteW+KT26BHaNZo12FQtg9MQ3 +O6J+GXL0+0auL80Bxy8+7h8DqyCnGnLu2olZyDJWzLEd/AVHiN78tc5xyDlJ +SNSG/YbaYw9vBpoOQ3RvtILG8w0oS4u6XRnZCzk2m+4drCah68jc0l2PVihk +49J+9YUF+0s5htd0GfDIju3oziZWdOIas78pU0r0+npvDJHIqNQT4tXQ30oo +5ZAG4tbIeP4aK8fMYi8xjBMmyqIU/O7UYxcXN0wcY4nv/sOGAyUlbU/RhCaI +6cqfh4hYToxR3KGZ+3CWcKguGlpN5sKlJG/ltwekcHWHzBGB4ATIKnlqanJX +EjWVTT3q82Lg4/ajHZ2jEuj+40BZRYE/dAYfykvZJYE+dJ0wJ+MTRPKaCsfP +S+I43NtEeRB2kfDwa5y82C6GzLMcHwMhA3QMR9f45MQw2XzoxvuzoXCkkHz1 +fgAdLf7kmsmuSYNDDPNc5SpRtOd9/YDLLAW2KE5eKeUVRdFUtSK/kkxwaLE8 +ZnichpaejZzSDxkgX04yan8mgjKxcfJ6u/LA2nbvqMuKMNLLY9Ynb1cD+tyL +nzUSxsL3ebXZD8uheOeG//nbQljjNL/6/iXCHmsBDp4RKvIHS+/bXlcPNEHn +uLsaVPSrIBxP+DbClRWOBcVoQdR0rnwl/aQRtAs/hXk/FsAAxQyQVfgAa3QX +y8t7+PGU963OfEYH+FssEuk9vHg7IPdNT9cnuHfSakvlaR7knufNKrbsgSpZ +idefhLnxupgKm+1sH0T9lZ688JIT3UmMNLXLgzCZJO8hZMmB0bekNjb0hkH6 +4w0v1Sl2lOxn5x1P+gb6KceXjBPI6CMzzXu6dRzMKIsFJzez4Zl+v+7RwklY +s/xtdLGGBdk0Ex3j52Yg3fDj0/vOJLxvJRHife0HJLNr+/mv/oa4bc4ZAjgH +KoNQmKP5C2Ipz4+y750HUnQkf5/fChyP3mw4ZL7476ertNOeLoL9ePRkq8Qy +3BmvmDH/+hPOj+yhOF5agR21+9UvS/2AovnO5roiJixpekaeLZiEJzfYymxO +r0FuhkP2uNw3yJ6UCwrcuw7ntm6UFagOQLnhm4ldWiRUOhMo8RftI1h+8/PZ +r8eCNN3o9fq1ajgSjpyGbqwYG9pzL7vuCTHjf3lYWYcNG69M/vXSuYmQXWmr +CDUhY+mvS8NrRp8IMUeTXJEL7Ehd7TnE82KIqNi+Q388gYJabanHHmqPEf0f +6thlb3Fg+pdQOfX6aSJFOoCKrzjxm6RT2eCWOcLVyEbm7hgXXlC6kvl0dp6g +iG/4eHDx4E32RpXAkiUi8m2Ypw6dF00StQT/c26V0NvfVBLlwYfx3YnkyDk6 +SmsKUWYOpsHOjabN3Hp0LL+2rTCELwPcz4cXpiaLonXtP4EajATCozI4zrqf +hhHd73heNhSCrLHl12IVGobw8zy/GZsCy6VTdfvOiWD4ib7MiGPF0HyN89OH +BmHcnqfyNbi1FL6tKHo50oXRbqEtyW5HOQxt+MdMuQvhtrmbsswABrwJ5PU4 +W0JFzgiJIXSvgVmxIE0ONir6dj+Qd+luhmKygtwtK0F83OcaVBvZDA361TGG +egKoWVXYrDrcApm+4XUufXwoLNJv8VqrHRJI+rfOn+NFvluH9bZ4dUOajuu7 +e3QeDOdRippN7AVzBmttSQkX+uxUE52v6QetuCOP2qw4Ubnse16w/SA46kur +zsxSUDhy1SqOewRkCrLIXEnsqM0jaS098Q1Svv5naZMyGafUg7vGJsbh7fLt +fr16Vvy19OHyRNskDJU4+Tq4suCpqt2MUMoMZMiMGpwhkVD6juuiacp3EDdo +2a2q8xt2d0qO9WfMwYX2Ql2XMCZop4kVV3MswHtzPbvUF8vAMqg0MWW6CJ93 +hTQ0TyyAdZOd8qGkZdBtuMRk3/QTuKTF/h6VXgU+H9fzkRWzkHLmGC53MSHH +Oa54atsEZIe3jowdXIMhkRu7HLKH4Ybbo9EF73UQKZCYTtH8AiutrVJUExLq +nGxnhkq1gVmLTPNNLxYsUzuRZUgrAynTxUbmVlYM3rJPf5dxCVFzSGOl1IUN +Sd95rb9vaSV0Fpmv1PTImEmVZ6Pq9RKnUh3p+3zZcbeIv2mayjDRz9o+WXiQ +gu4BjHuqpeOEfJUcF68/B25zsPCE/bOEhGv53dNXOdEl3RA3j80RoVwL/ENX +uFBEqSRrNn+BCPypJEx6xY3PP9o2lwYvExauOuEHx3nQsH1Y58JuJjGyqj3Y +vMSLx6pqCOP1NeIEM2fD+9+u8Rhs3yT4boNQWbpermckgG1nJrOnDVj0Pkfv +G5VVF8QHF6Lut+ay6iXS81pKGwTx6cxj5xJusl67YdnLGE8qRm/rbrvrx65X +YygcFbpOxf8COLRxUg== + "]]}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[1.6]}, {}}, { + {RGBColor[0.368417, 0.506779, 0.709798], PointSize[ + 0.009166666666666668], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}, {{{{}, {}, + TagBox[ + {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJxTTMoPSmViYGAwBWIQfezA6g0bs5UOKG44O8WhvXl/4YvfyzZLIfgyAj5z +t55UhPMrAz+VS0oh+Ps3NNUqlCnA+S4vee7tXSUP54uHKsz95SsH5+/5w76p +lkMWzs/r+L3owHJpOD/67tXsIl8pOL++7rjNSS9JOF8qr6UriwvBf/7IrlVp +jTic3zb57FWFVDE4P4HX+V+viiic7559hGn3CWE4n4FVKlavRQjOP9ZUPTlR +RRDOnzC53Zl9Gj+cbzHzAPcNQV44/3eaYI9GOBecn7SGawfraXY4//FO6TlJ +HKxw/u3IX/pzg5jg/LePmO6fmPZ/P4wfscjhXJj0LzifN/C8yL8/X+D8aM9P +pQc/vIfz2QSXLmrlfQrnN+d9/v3jxFU4/4VEU9Cx3jx7GN/08YVpTneuwvk9 +TXcUm5ifwvnCxR/Fn3x6D+e3Om1azynyFc6fsuzC56civ+D83Kr9xw81/Yfz +G9brKR32ZHKA8dfdTNVYysEK51v0fGn6NYMdzvdZs1W3SIYLzndliVfIusYD +5896Ep9+NZEfzs+uU6l+ICgI5/s5bspKzxGC8+NPZLOsWC8M5ydlSx7S4BOF +8ydf+qSZHCoG53cWPN2pN00czi/SOpNr9UkCIb/i3un/ZlJw/tH9a9Vd3yD4 +jNdrmrsWSsP5ACcyq+M= + "]]}, + Annotation[#, "Charting`Private`Tag$15457385#1"]& ], + TagBox[ + {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwV0Hs0VAkcwHFNBslrjDzu1VwzbB4tJUKa9v48W0InbUtH3osykhWVLDGF +aNpDMmVRx9j0oERHZSv3t8mrZB2PyqltCVFYj+hhPLb943s+/3/5YQd8I1gK +Cgo+X/vfJqy4WS0S4MrnoxOTFVxQdA5C830C3HI3p2jiMhecGrQ6SiMFuL/Q +fOu/ZVy435g4kRcqwPaAqAujRVyofkxbxfsJMLfvjdfbU1wo7u6q2OAiQN33 +vVdfirjw84i8/BYhQGqhObxpLRcMtbxKalv5aGP8+/OiCm1I2jF92IDgoy1/ +p8adAg4wN8UpRoeM8EijoFx4Rgtc36m9fnCNQvWU4KwaU03Q22VUMufNw5ed +kSFtS2pwf165JkVlNa5PrJL/Ma8KsSflMrxM4sbkIducdhUI+LtHFO9NYIeF +NCnrmhIcS20WtnoaYOfe9vV2HDYQsSdyolUNcGrNybTdFYow/Oa7DEGlHjZl +Rn2jls6CzPynPUYRumhkc1KSn6wAIeoui6dNViGlvXUxT2GB3ip6xLrXwsWw +DH+q/tZnWoFNBFqd0MbqvLFH+Tdn6CZxcn6oCQfDIwLKLfwm6dz8LBdlqSZm +6h/bstlkhHYoxJUvOOoYcN7LPsGyj5ZHciRmfqo4W/RdWb1ZOx1WqXqX/UQZ +u1WWF2y+m8sM1JHFYSpszMrr7g490cm83D23rsSXhWOdTo+He/qZ8Tesf1qk +S8yChU7ptmfvGH8ZtP9IzjGCo/ppUqcpRn3HXzqL8zNMnZtJRaDPLBPgMZ34 +5+QEs6bekWlx/8IocS7JMtSHmHUHDp2LL1hgjsd+kH9u6WEKGs4lbnqqgCP6 +Yt+m07F0/2jmst45Fm4c6JA6v+qhz0fL0z15bJSIX/HFy4fo1mIrGDZURu7B +Kb3B6YmvnxJCytxXYIZzTdUKnVmaHj9Sn7NtJZ4t7/gwpDNHyxpZHFd3ddx/ +lGl+KF6idzpebDSM0cS0KitBgwcLaOuFgNzbWnijN8Lskgobkrm2SrI2DjpI +ZsRz55UhYbvndo8ObfSqrLWMN1QFmV3Zmd52LropBhtFP1ODTyJ21pc3Ovjb +YHBUT6gmqMrdiarBVShKNUnu43DA5UVe0IxcF32caqKjYrShJoQqEWjoY3CL +SPFKFRdeO0uOvlU3wDCRwUMzjVVgfZC1wtGYwPzOafPwXboAC352xmtIzI4b +qrOS6kHGhsnAWWNDjLdo2+84rQ9TtXl2fvarMfvK6ydLdgQQ+do3fBx46Mx/ +8PGqkADvGwd0Hwt5OF9YxP/BmYD01rZUNycexp3yP3zFm4CRpcztQk8e+sd2 +Cnb8RMCdGPmk+R4emto2JcnyCNjlPmjDTuNhI3Pd1G2MgNwvtXX3mnmY6iDx +nZgioEGHK7Bv46FDdXRK4ScCPq6Ly6np4GGlzLRrnEVCUKRFwNVeHp7NKE2V +GpBg2XVhXjrKw/BtBT3D7iQ8qcyi4zUpNHx0UOGMFwmLzYOXx7kUPhP6rhX6 +kmA94KS1T59CTyvN9NxAEgoN5vuC+RRu4GR/uymBhL2ZcWJvGwrHsqP8BpJI +KC59+r7FnsJylrv49DESOu5b7HQVUkjMsF7055Bg/2HQeLMbhd0x/SxJLgki +DWfJbQ8Kfx1iLO2kJFw0vzhj7UPh90EX/PuKSOhynd9z3ZfCZc9/OZ5TSoJS +yO5GMz8K/wMKvEXy + "]]}, + Annotation[#, "Charting`Private`Tag$15457385#2"]& ], + TagBox[ + {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], + Opacity[1.], LineBox[CompressedData[" +1:eJwVj2lUlAUYhScTFEMdAzFm+eb7RpFQ8CDIlgYGIxGIChaoICcBx0zEUFGz +qECdhYFmZRVkR0eTRiYIYnnfGBa1zjCIYypgm8gqO5OyZPTjnnueH/c851LR +J0IPL6LRaIcW8n+34g3NrWNcNPqHW0icBbDYNwodjnLRrkQ5N+gqgPd0dEMR +n4tWK0fdd3sIoL4lcVR+iIvd3VWZ67wFcOuuz6aT4Vx0p/ovv75TAHn3O2+4 ++HFx/siLK1mfCCChf7Zcy1jYx5NW28sEUHG0onrjW1x8vIM56aoWwPDgx60l +q7lYmSQ0Ot4UAP95S6+SzkVLJrPOqUoAkRPSdafNuTi2U1cf1yIA/7m1xVsm +KPTuVIT0PhMAi74zv+oOhXG6UY8xJyFw1dWO/7RS6LRFxZt2EYK9L1Xv2Uyh +7PiE+2ueQnA5bXpc10hhhK51wslXCAEPC99q0lJ4KOHNzq4wIZwqnFbq8ym8 +v9KgkycL4a5zQWpfAoXFy5YV3+wWguGOBcPhBIXvqw40Ff8lBGP0afWncRSq +Dt1bVdgvhD9UH9x+zqfwXX/nY9opIZheTJpNRVD4YHfHDu/lIuD+HJBM86fw +xF4ljPiI4POQibO2DArX8Vq2r/xOBCbFUpV4DYX3Ctrmr1WK4PR9QvPSmsKa +2j2bg2pFEB8e1P9oJYWR7x+wV7eKIPpg6b5cs4W/gmUpv/4pgsCjYV7McRKH +TBurf7IVAyv5pxnWbRKP/N3vIZCJIafJYJPeQuKSRN1DXrYYbBb3ucw3kaj6 +wcRfXigGutDqWE8DiR45vK/qvxeDWXpcV76WRG0Ig6ZqF8NINlFPFJDIuHlH +57oqFUCTkkSeIbHpy7rojLxU0EPA2fxTJG7Ve3UklaXCE/2KBEYCiU/EUZ8l +VKTCv8O5sdZxJG4obz13HlNhm4M2aGk0iV9P2vqs7k2FmqK/bceCSQydV/PO +O0tAo+BVgx2Jd7d+QT9mkAAWLdNsW0viA28F58FjCbRrDOpaksSMihq/Xb0S +GNFH5muZJP4232HJn5GA4xuJF6+uIvF3tvlJN7s0CF0SVEbMcrBCHxgUnZQG +vAHLJw3XOXgxvKY63jMdJt0tOgLLOOieFmMo35EOxRfNmn8r4OA3wbmDY6Hp +8Br5r3pcxcFZ4bcpdcfToTFsNNHuaw5euLxi2rE0HbyaO5an7+XgJsOQKdP6 +W9hUkPlu5ByBr5c22/kslkLPsMJ5wESgk4bhN2AlhbR3pGvPjBM4q4urvLZW +CkNGoYXsGYHhMfdmjvhJ4Zrl50adgUAvB8PhoQtS4J6POL6xjMANkz5/SBfL +YM1HZP5MMIHJm0MGJQoZVE+eUj8NILCuY6Ryy2UZfKhoq9L7Efgyae5cf4kM +FO3x+mIvAg03zN0SqmRgGdjwKtCOQK0jzbT0kQxoPgeiL8+xMSzJhhPFlcPg +2yr7bTfYKEwSD5o3ykHU1ue6vpyN/b4N5Rtvy8Gev3U7vYiNJ41O2w/ek0Ns +yV/7nmay0frHtqC+Z3J4wt6cmpbCxqzMGHk2XQGdb+qHu/ezMSiXd+YrvgLq +55ZUJi1d8G29YtbBUsLQ3V8aZhax0SO7qPmWgxIYOdI7Z+dZyIyqcy11V8JZ +tzV/Jkyw0Gj/PKVxjxJc4tfT+d0sXNcik/9ySQnXfufF79KwMDFsl8/BSSVk +NCVv4OxjYW95T6x1jwqaZTvc80JZGKMZ+SZyWAUTURa+tsEsjH3IV9XOqmDP +rGy/le8CN05ZaRkZYLmlULTEkYXPO9uvlO/PgJSyxmejr5g4sD+2Qt2VAfGi +2WK8ykSac0O4aSwTmsaJT8OLmUifau9pWpQFNhG+m0fymLiidP1HV62zoMFJ +DEwFE+cJSVaNZxZYdtp0n/mSiYOexslXyVmgZrusdgphYmlJX5e3bTY8rfxE +mDPDQKPbS9rxiBzwZKXtcp5mYNej64/PfZYDaZe+X902ysD70TMvCi/lgOs+ +U8nUUwZePGyW66/JgZT5C7i7nYEDp2SZQ+a5QAYUvDQrZaBJ8nNMY20ujCeW +3a4PZuD0zQvv7HTLg/8AMwArlA== + "]], LineBox[CompressedData[" +1:eJwVx3c8FIwfwHGZ544759zCQ1TIKNqp5znxeCSVWcn1NBQyQpSetGQ1kFJR +EokuKiNdVvH9nhGSIyOziGSUsxty/Pr98Xl9Xm8tVz8HN0kJCYm83/3/juRx +9hoLVaQUc7bUuSWB+ysc2bReFRd6x3Zr3kiCgJzHftQlqrjmncml45NJcPn8 ++cDcWTaaqRunvi64C8VLjE6JHrORxZFx03VOAXH3Q24vj40uuwz4fwemgFmi +9sZ3qWycWU/sCLuSAq/ILHFJAhu/VryyO1yZAo3fJc/FhLGRbX/O3EP1HgzX +tIUactloKLpdphpzD1R9wy97Edl45+sLjkNIKozs8vMal2ZjQuKdmHPXUgE3 +uWz5b56FB1InFSvup4IH3ZgYOcXCuooLWtcrU4H/svNS6gcWOh1xEm9VuA/b +SCsvteWx8EtKrZNN8n0Iyfh44R8uC7Xjo4J2t6SBY9wbj7odLDRI4w0/HkoD +ndMFVk52LCxa5/ySPZcGdbYxcq6WLFwSbC+/WTcdVL+vu3BmOQuNNwRZTwan +A9/yaiRfioX0avFMuu4DGOj9K0L7CRNFG6WrwhJ48OiP82dlHzKxtUPcOJ7F +Ax/n8hPDqUwsmij6fqqCB2N1Vl55CUzcGbGN3j/Og5lCO1vzMCZyrcJ9ydsf +AjnWle3qwsQ1m69Gd5EyYM2GyKxUAhN/Vhpmuydnwo/j1bwIKSbm+bxKv1uY +CS9yifc85xjY877IYboxE8x0YuNMphjI2vA9UI7wCLZQb50QdDOw5nmb8YvA +R7B3IHPTx3wGquvY7Ai3fwyR1+taFroxcIp3hVWpmwW+nn6XNfYzcL/+U2KN +ZRbs4FA56lwGplEnoscPZsHiL04ZTHsGzuXUiHLvZYHAvCuY/CcDd+Tpj4yo +ZcPs+LDmrAoDo/w/J19g50CgHcGrtYKORtF6hn/ezgUXnUcaLUBH21bVrmeP +csF81qapsZiOG3R3F3Be5oJSRuxGYS4db/Z8dEjozoXseQalMum36zQ7Nus+ +heHsJfy8Y3QU+4e71hY/hf2KFnMxi+lYHvyzTWYyD9qUd+RpaNKRWzy8gCL/ +DGxZHu45bDrubuaLV2k+g78WRQkbyHTsupk512rzDP5Y35RM+6mCR23kl5zl +PYOOQwc5t+tUcK2zY4T3AT44vQwLSQ9SQfLXjoBW0XN4I7i5avVRFRzzOmte +QcgHi6qHg5XeKvikI7akUTsfVjTW2g3sV0GllII9O3blA3WQpqVvo4Klk9y2 +aUE+CGnpghxNFaQLMvRq7haAlXeF5ItqGh6qi6GL/IsgW2DUkFFOQ7+522G7 +Y4pAhZVwN76UhgWkduZAZhH0VniuC+DT8L6N7HbPviI4q0HxXXqPhgYnTdaS +nYsh/+3u9oQTNNTsPZw1a/UCFq8bzTmmQ0Ov433CSxYlEHXF+YyrFg3XVq6U +v3ioBCY+CbbYqdMw4/RQTFZECeC1G/0GyjSsP5mzxK+6BLhf1qv1iZWx9srU +gbe2pRCXHB5p36KMF+LoK9a7A0jIqP67LFwZy6TfkHzaEb5fnlyac1YZrdOH ++nRFCCKlum/LTypjYmWu6ZykALrUQ66a+CpjlX78xxlDARSt+ly+ylkZd1pP +X1wbKoCAQ3n6GwyVEUdOWnaYlEFf+ZYfVs1UPOsGGk945dBhvbiyWkjFONP2 +hm+l5dBYL75mXUNFW1yit7+1HLAz18CmlIrCTeccYwkVkDTJ2Lc9g4oDih4h +B30qwGlRX6XTaSruMQkqkDSthFehp64fWEzFiiphkKboFfSm8dVmNai45jB5 +pwSxCuYqRtLi2VTcaEk0ldKpgjVy+/m1ZCpO9Dg+8NtbBbyov1tW/1RCiz2C +RQMNVRB5Q5FJFCohOeTfmaMvq8GKl5KYd0IJj/d0cuRyXsOhqjbtbQFKqPN8 +1DSw/jWEDFIfD/goYSa/WUN27DUU6oe/UHdVQrvPfMtUk1rQyzncFblVCaX1 +ZBOe5tcCodBEg6ulhOeSCQN7q9/A1esXLOTiKShNXBHGJNUD70RG5LcoCh6Y +aPbXW1YPJdyamv7zFBTTW7r32dfD8CKSXcURCpYU1TeZ36oHS/6VPectKRhI +H7osojXATPPN47+myJje4pe96WEDHGKkPxx1JOOYRYCR7fu3EDxTMfzBmoy6 +6tUfD46/hWsf+o2EHDIOHT6z8opMI5TydPlPDMi4dPyoeNGyRmCvfYyeUmQc +dSt12BnSCMJdee19eYoYo1a9d0CvCdbdRlIbVREvLXAcs4pqBr8uwbYRWUXM +1KH36aU3A0+zPFZyVgGdmib/1ClpBhVeJc3oswKqNfnHB402w1jea7XQYgV0 +12eW+u9ogcw3zQaGBxWQ3erl26vzDlQlhmxC+CRcvHl25mRPK9hbDMfczCSh +XbD9QXVxK1yM/FL/KJmESgTR3Q/sNvimIHJsuUhCfQn9mTLHNmhkT3L1/yWh +ZRLDlVzTBpdXir2bZUgo1hI+qi5qh1/u1Gi9XUS8Kc5sjON3gtJWgcSPrURc +G2gUvbqpE3RMjh6vMiciT+IN+/t4Jzj8atjrvoyIzA9iSuvyLsiIvWqSLkPE +KUbZvEJWFzgVUlo1+fIYZh5V6Jb1HrLlydpMqjxKZFlWHn3VDRWikvjPsvIY +Eqti+MdQN7Q3HSHlzxJQjyM2mZbpAenkuimnQQJOD5Y6Tuv1AHdFTFUcELA0 +97+rZX49QOAqHCH7EtCY+eLcHYmP4PqEWChTK4eDPrS2O8t74dZYosEvkENi +SNHn6r97QbjKIGWML4ffd/yIJ7n0gmmJTWRnshyuvgbsxvBeUBZGOz0NkEP/ +hUU73Tp7oWyUPL5HVQ4PjQWp50X3gfZKmj7fUxa1Dvt8tZXoh74itSRXggzq +ZsapfV02CK6rvCOjxNLIXWsxFWw9CL3Zxf78CWmUp9CstA/9dtpuS9n30ngu +sfda8e3fjkkQZT6VxqvmuaY02SH4eIC2adxFGl2MFQv9+4agW570+VyWFFr4 +XP+5/ukX6Nw9s/yugyReHl2xov3OKJgG/dgaslkSTXYFT/KLR+FW3DfPg39J +oo7VcE1G+yg41U6kLdWXxAO5Mr5fSWMg3PiFmb9AEldlLBBmbRmDMs2ueWHu +AuRuzWg8+XoMMvtL6iUoC9Az/tTJnU3jMNIr2V0dPw8bZBTKKKQpGG4HRmfI +PNS0P3m5UnMKBhtObx/xmodF9HC2x8op+FT6rYTKmYfpnSLSLHcKOhKHk1wG +5sAoqdKuO2sKqh0aXb6unQOv6+P6sU7TcL8s9R2lfRZOS8SpPc36Bs73zYQ7 +1WaAMP7h2JvYn6BoX68yNzsF4csJ5fKp88C1njguGBuFYNt4LW9TKZSlPrgf +odgPBd2l8wwfOQzznfz1o7oFDrsXV5RWk3CQFerwKsaXY7zY1eLDaSVc3dcQ +b97VwtnUca2TuYmG0aFdWqFS/ZyltxoFq6QYSAscZ36aGOV4x8y8jzZiY4R5 +Xo68yjRHkDx6UcNKHW/wGib7VWY4n0XGsuf9NPFIMFSVhc5zJikpIpUzWhiS +s0y73FrSrDumNqp7+SLMbnfTe0CQMdvu3i9BUV6C66KnQmduyZn9FWSs1tCl +g1ufPDcKUCeaJWdGNOs90ENL6X0Lvd4pmP3zev8ak0R9TPy0z6PlAMVMdLr4 +qEeAIXqfXXyqh0o1M2EFZmoELcNnBQy870410+Ude1g6sQz/BwkL1Cs= + "]]}, + Annotation[#, + "Charting`Private`Tag$15457385#3"]& ], {}}, {{}, {}, {}, {}, {}, {}, \ +{}, {}, {}, {}}, {{}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {}}, {{}, {{{}, \ +{}, + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6], + LineBox[CompressedData[" +1:eJwVlXk4Fu8XxlWKspUozcy7EaISxcy74VgjpSwpkYi+SqHQpg0JlaW0qWyF +QoqkkiwnWlRIC9EmRKkUJZTt9/7+muu5nuucc5/7/swMb32g44bxUlJSEeOk +pP7/jPTfsGtVmTZOucxzOHndCqi+vk7vb1oINdvHX2mxBOfuhBWdLlq4oXdc +PmNnCRndMc+62jVxQp7aNqsmC/i6w69MMUoTxx+yvBgSagEaI8qZ92hNnP7J +u8ZgrgV4rVMj1X7Nxtyb8tGJneZwRLynMPbmbHx+0nT9tFxzePd00VLfA7Px +SkmfaX+wOYy777wiwH42Hmo1iZGxMIeZdSt9Sniz0f/6qY9rZ5jDs1ln/5wf +1MBTHm63bLvNwIBwTj3yQgMvrHmQYf7IDCrXbrAj8jWwlS489S7DDAqG53b+ +jtNAR8Xw7RhhBm/TCgT1ARqYESNUvOxtBlVT99qHOGigKMh340prM3hloVN1 +zUgDz1deVD+nawapXvkvV5IaKJfevstuqhlcuTjrndV4DZS2NXpkNQAw6qRh +6PlVHd/LOm3wawEo6/htd+SlOl5w9KlKrQbQi1/xN69MHRes1bv9tBDAf69H +141sdfy7prH7XQrAwnIXvbiT6mi15tRuPAxAPHzVNidcHT/WTtr+3w6AyRWT +PuwKUMf29tW30RsgwUl/+1Z3dVS2eXaq0gHg28/qxdJ26vjov9Z8TwDoT2Cr +6ArVcdj0fdWxBQC/OO8Tm3QkeioCjthyACINDFfLEOoYu/vBmQglgLmTz965 +NkUdo2+4mBlKATjsWnX70RAPl4e9U8xvMwXF5KVddt08bNn/YkLNA1O4q2Ed +YNTCwxjUTbuRYwrHqs6+3/+cJ6k/puQWbwq6hslCjfs81Kq56lYcbAqhr691 +sW7z0KjecmmlqynwLl6+5JfLw/wr41y3gikwjNfeiak87M85e6ZE2xTObLIt ++3qch97bvuSdVTIFk7YnwzOieCjtWlUxadAEpoSGTI4O5aH7dBv/oY8mkv0e +fGYCefjfwZDybU9MwGBudK2WDw8717xn+xSZQM2bbJaDKw/9Zq1zrk01gebY +CJ8iex7a7M/dmX3YBB767XO2t+Thko/Hu3tCTMB/TLGKEvIwZLWU10VPE7Br +Gsti6UvupaPLipeaQH5m39TlWjwsswrU1ReYQIT9wkX5FA8//DKfNFHLBOKP +n14pns7DbdFlbYumm8Dw1oqmvsk8nCJPht+RMoENu90XvZbi4Y7kkrrEH8ZQ +F5HV0zrAxSPdcm2l74whQPn3tek/uVgvhwOGT43hykgIe3MnF79m0lsH7xhD +noW01Of3XOwo4dVK5xjDir0Ks6MauKgdtiZ/VZIxuEce37S4losK19te/Yg2 +BkUQluk84KLeLMWZ1TuNoTo9XG1eGRdD0uo3tvoaww9hV9iym1ycFDC/gb/a +GAZ7QSbuKhc3rri/r8bGGKQ8hx52ZXHRa2/o2XMCY9hSEd+xPpWLsZvFwRd0 +jWG8c+vxgdNc/Hi5cWMLaQx8c5xwOYGLiXvbuxwVjMFlgueerTFcNPv4dMe/ +UTF0ZXaAUzgXK3ua0171iCGHN5hhH8rFDZfcpD+2ieG9uuuQVzAX16x65UA2 +iGHhucjM2C1cXNclsjj0SAxpeS4T6jZw0S13STpVIoZov9vhmuu4OL2sXvwx +TwxDnXYJiau5aGOnNliXJoZ8y3kXVBy5KEp1KP2cKIZcr1SDK3Zc5IXI7teJ +EkNB6auKlVZc3Fx7QXRitxiC7a8/m27KxZHU1mENf0m/abFdn/hc3NG288Ub +TzGo/xw+W72Qiw83nWy45Sy5r8neVj6Pix8mhWvfthEDkTpt4kMtLupcMOt9 +IxaDu/qm7x+4XDxdKvDmGYhhlui/KlmSi3ms10WHNcUQdpHSsVDl4lWx2ezp +hBia3jRWxClxMZ6n0F+qKIZqw1/zvkyW5B34JyRqghjeVJaqOUpLeFlxujdg +UARe9rnup0c4qDxlfuX2bhEkkWrMpV8cvDC4xvxcmwj+RMXzXn7moFLxtxdv +X4tg6/macOo9B4+5pDYLakWwq25FZfgLDg4s7cUblSL4dlHbcXw1B9fyegds +ikVw+F5pZkoZB6cemPxr8KoILgRcM3C6wcFPV5u0qjJEMDo3I0Q9h4MnFk5U +vnxWJHl/ed1T0jgYFqa6KDNBBF8WbWLLn+Jg7CVbhZJDIgjKXZ6geZSDs6t3 +aH/ZI4LbYuqJSzgHF636JKcXJJm/z9c9bScHk7/q2hzdKALFxKHGUX8OPs5W +8R/zEIHh+Fu1IT4cfMk+oHhkpWTfAb/XUm4ctN9lUqW7VAQzHj6Ou+jAwZPy +4zVbzUWQfs08ztWGg7YcYX2eQATPqrtDNE05mP901DtOXwT3lYM7J9KSecqD +4RHaItgR/vvQv3kS/d+t646yRSCv/Pvv+NkczHIN/JmtKgLrlxbf2CQHZTdb +xDfLi2D3o15pe2UOOmk/W8mSFsH8vAV9CZMlftlb/Q4eEkJEhOXGT1IcHGv/ +rvr+lxDiu3Yr2w2yMe+oUuDqr0IY0pG7VPWTjcXHvlzvaBVC8y+VpmWf2bgl +8+SJyGYhjFQeWtf1gY1DtuOfGj4Xws1exT+nGtk4+23b1P5qIejZz3ByqmOj +tW4ypxqFsHB5thHvIRudrgtv5BYLIe6V35qxMjbOdPI5nFIghDafY2HdN9l4 +4aydV3q2EGZ/e7rx21U2NgZlDBWmCyGz17JhMIuNUltOEA1JQgCb2MOqqWxM +WJ0XPum4EEbZx5eYnWZju9/7P9aHhaATdvrDnng2Lr6+yfh0uBC0xDoKD6LY +aDv6ntO3WwgXtWakUQfY+EZH5j/PICGY3/b0iNjJxu6rX5rf+AlBc5xwRn8g +G9+m37D29hZCwL+BxJ0b2UgOl+366yaE7zMVLk7ykvRjQo1TnIXwWU9KOcOV +jdvmBnrbLxMC54pP4VJHNpZa65fIW0v8GXvhNMGOjZ1jK5WbTIRAebY+emjB +Rq24HcYFjBCK7lKtp8VszG5lK57SF0Lsn3HBwUYS/9uerorSEUK1w4CDux4b ++U3tPw6qCyFP29rJQZuNilRBdhwp0V+hssyRy0aFfy5uGSpCUN3oOWPdLDau +vt/w/r6CEAaqBqJ2KrPxD2dI5tckIdQYb995Xo6N7D1ehbpSQthWKLj3RJqN +HTc33Qr4KwDG3Ndk4igLE38b/Sj7JQAFp3ePlwyw0C4l01DtuwB0b+uZnu9h +oXqM3YZ9HQLo/XsptL+LhS/Mg927PwjA6o3I1b2dhYsTlAd8mwSQ2RpXXPOO +hXv/PVbufi4A79ntOxY3sjD4fEvc3qcCmMLSCK55xkK/HuHiGQ8EcLHwRazb +YxZ+afNkl5QL4JLz1My+ShbWdgT+9i0WQDT/2NkzpSwsNqAucwoFcLQ4yd7y +Fgs1ZucRrVcEQD0ezfyXz8JzRX0L8rIEMBSrfqAkh4UVsi6Pw9IEIDX2reJg +Bgt/sosfe5wVwNyyR0tcUlgokxStYn1CAHs+ZUxYeIaFJicL4+g4ARyf2F03 +4zgL4y5nzdKPFsAto6PHpY+ysLfLJmVhuACc9Vr0hyJZ6K02MmK8RwArIysS +/+1n4eCTJJ7jdgEUDmxPGb+bhUfvb/gRECgA8fNSZnowC4dXsO1ObhLAZadS +m3n+LDxw6yu70lsAi6xki5f5stCr3MNhcK0kj8gU/51eLByw3fmEXi2AJQUt +DjluLFQaPhO0z1EAq1tPL2tfycLKnzELa5YKYDS421ZzBQvLI0N+qy8WgOJH +f/3AJSxcSHekhpsJgE6T+oaWLHwZVsX+IhJAneZXb8KUhQbvnNa60ALY11F9 +aI+AhTWlhlY1+gJo9zgh+rRIsu8l93u2cwUQBKe3OuuxMMNOraxOUwDDiUFT +a+awMOa27Gw3rgAKfpEydhosDDjMa/tBCKDsWSM8Z7Gw0fBy+2FVAXy9R+d6 +qEn0Os9XnTdVAFGtlP5vZRZGSJ/ybpgigL/zb1XEK7DwmLVc6aGJAjgytNva +QFZSHyQjbywlgOCgOYVvxrPQscjWbOgfH85MfdxzZITC0aPNtviHD9PpnB6z +QQq3rpVWie3hw3+4Jn3sF4WCye7xHt/4UJhd+KOqm0L3ozcvM518qM979CT+ +C4X7srSXz2zlQ9C4Xg3Pdgqz4ieHjLzlg6b8gy7mA4W6Bb0TvzbygdBSk5/R +TKHef0V9757zwdJ7KPTfSwoHH63Xb6zhwxbfu1oddRTy9trmNDzig764Zazh +MYX3E34uf1vJh1362gM19yl846yq+rmMD9H3jo48rqDwrt2NrsFiPtRFiaVr +SyhUVvpbPrWID6mz04YbblLoZb00Si+fDxNt7Zs+FVA4PWOxgWMuH5graof/ +XqFw7MOd63uy+PB1qtQ4lcsUlldl/s1N54ODG3+h4UUK5YzEQy3n+WBzVktp +TQqF6606sokzfFDheB45lESh1FKjP2sS+TCSnnP61gkKxVK9L9Lj+JC2ql+r +O55C/VQ5o+8xfDDU8tXTOULhR7lLisaRfGA/tE33O0ShzCRFpxMH+GDeP3Pr +9TAKxy8v+/MjlA89N3YcH9lDYWPn6q/Ld/BBKsho0H4nhXcsCmbf2saHiy7L +krKCKJRPKE3i+fPBOuzjhnEBlOR/myZM3MgHIzvByvWbKEy7mTkq48OH68mP +11T7UBjUJG6OWMeHOwt0Ny/ypDB72riK8W58qPo2a0+GG4VOdgWZ0S58QGbf +AbVVFHJ69A5Mc+TDW+e1/omOFM6zjLJIX8aH0rLPgmn2FJo8aO9cZMuHwCj/ +NydtKUw5kuRRYynho2K9JcuKQrdstfRNwIfG1rX+uUBhztl/6XJiPuw3mmkn +FlN4MbffpZDhwyazjS9fMBQab+i8vXaRhA8Tu2H/RRRKT7x/R2EBHwxi3txV +WEDh5a4cx0pdiZ9qK2QLdSn8rvhi1x4tybx/0k1rtCicdOiUukCdDwrPt/Jk +1SnEn5uth1h8+LRU5+0dFoVXpL+9uTeLD1dvtA4FzqJwWO5hY6wqH7q9/UJ1 +VSk87lur7z6ND2fdCpZ1TaUwRO1HywIFPkyqLN2SJ08hY2vwVmYyH7YFFdUF +y1K4rOnurE/SfEiJfe1nKk1h8ZfaxPtSfFgiHc5XkqLQdVulcc4wA/sXai1o +HyLxcJ2icuIgA1v8XazvDpC43tVc5kAfA6+TS7af+U2iwchE1a09DKxuULm5 +8yeJq5+TizZ8Z2BJj+mw2zcSPxR6uHp8YaBk3gILy88kNrbfO+D2iYGCmu5w +/XYSF+SsSHX/yIBWUWoBt4XE7V/nX/V6x4CG0t5HKm9JrGk8kenXxIBOX2O5 +/GsSu6Nf7t35ioFkuZkJsi9J1Mhx1oupZ2CSUYm+7DMSK1mnrifXMNBn6Jws +95REmatzxoqqGXBcG/9E+RGJgrxipef3GRgQaBexqkjckjvhXQ8yYGH2y2Fe +BYk83nt3lTIGwiJeJ5vcJZHQmH9UdIcBWPUyzvk2iTfke9b9d5OBfzP6WQE3 +SBzk069OXmfg9FNv66P5JL4p0mh9eFUyr8NJKu8Kic9+/zwwnMOAZd9Uq/rL +JKoe7sgxusSAyrpBhcEMEjM/eK0OushABSvUWSOdxOSfryILUxloCVJTdkyW ++DXu3pz+cwyY5/pCZBKJFj4lxsZnGJjWoNB85ySJy+f6lkWfYMA1urLh1zES +d/zYf6EhgYEP5+z1F8SRKDzypF0rloE/34+2BRwm8UqLxv49MZJ8NDZ0Xj8k +ye/Mdr+XkQxUbW4wGgyX5NdWclEvnIGjll+emO0nUdN8jBu3jwFZ0ztp8aEk +utp5tPzYzUDOg+BrH3aQWLJ5QpPTDgbOdTj2GgSTGHFDZ2JpEAPqqhfWxwSS +aJtMemkHMiA3enu4dTOJE14u7Dy1mYF51lIlJhtJfCfVFC+zUZLv2t6TqT4k +BiZFrNzrw0Cq9bSYcV4k1qYXG/Z5Svz4ry/Ody2J28IVtQPXMhDuaHyh3pXE +GS+0tLtdGag5n1wqdpHwOadwQYALA9UX6t9ccSRxU2eA6JcjAz+9svpZy0mU +UtCx2r2cgUKbvikn7Eh8L1eyeMJSBo6Mz1SWsyExKlHW5JgNAzNXZMtGWZLY +7yOrwbVioLZp3JcJZiRWzS/pLTRjwG6s7EqkMYldjnOzbEwYiL7Zby8rJHHz +4+38ViEDd51e1MTTJLZ9r7i0l2HAOOAgV22RZB9n8TfCkAHuFRurzAUknsvV +GVeqz4Bn8hZ60TwSTQ6+aF83X8LXKauf9+eQKKbj4ifpMnA+xmizq6bkfPvu +cL4WAz1NOVk9PBLdAp7quGswkCQmzx1hS3hQMZomx2Vg2wkFS21Swnvs3mul +lISfSqW0hzMleZbrj2ydJel37O6ljSokfgr5Nqg9Q8JT5E0XhWkkegkcUlqV +Jf6W5+UWKZC4Tn9aZ4oSA5ua16R6TCGxs/9Tnbs8AwseHZwvJyOZH3HMiT1Z +oif/j1PJBMn80dbAtokM7KuPUdgiReLr3OucnPEMjLlxXLgjBOqXt3oEjdEQ +uyZL5/VfAh9beOiYDNMweGRq5LF+AjNHqD3yf2moN/f0WvqbQMlXecX7PzSA +Q0rZlB4CX3z1zSz4RUNMa/PJp98JNOIohUT9pKHbzaA9votAqWV6dz2+05C1 +pDrTuZPA++O+bhd00fBUXNNAtRP47Flg+oxOGsQ5wUGfWwg0Nein+9to6Hg1 +sqPoHYGGAaVGTS00rL1V2HKwmcDisClnS9/RIPW2LXtlI4Ez/uqvzWimgbvs +c53OSwJFHTH7YxtpcAnl2UvVE3jyZvDfnS9paFUbUm+uIXD8bLcnG+ppqFPs +tC16TODeWde7V9ZK9Lu6Vxx/SOC/0z/X2TyhIe5Py4FtVQSqJiexjB/R8Pb+ +v2gnJHCqIq1heJ8G3m6TV0yZRP8FV//592gYDbX0YpcQuLgqeXBOOQ33X16d +K3ObwJH96fe07tKwXlVD/9cNAjX9FB5oFdNwxcp5c0sBgb/jTozNuUlD86PB +5rqrBGav+Oo/v1Ci3+rZLswlcNCjXt4wn4bp51Isiy4TaJ0k1yzOo+Fxub4w +N5NA78GNzxbn0KBe5O5y8QKB5gdLvztfosHSf/hUciqBTgta5/tk0GBS1vsn +6TyB3S+KE7an0+Btrhl8JonASKV5SodTJPUOUVOSThHIM9bNST1Hw4n2KXfO +JRJ4bXXOmltnaPh3MH9PWgKBf35mcetP0iAQ7lx+KZbAfgWNwW/HadAP3WyQ +f5jAPh3dD5MTaJCdlswuiSJwqcrTZzqxNLyZxlF5dJDAo+3kE7vDNDg+nKrU +GCbJ+xP/SWAUDcXnTsh/3kfgkijL2lMHafBVrJ/8L5RA5aW+9WVhNGSn901Q +2kWgS/Gz+s/7aCAqjQY1txPYZVL4dPoeGpSqattNggi0WGRbbraLhqF7w1Wu +gQTa3H6VtW07DSEpsqd3bCHwVt65AxlBNFS0iVed2iTJN7PT5nUgDefKv0rf ++k/iR+3kMXl/Sf33jclN3gRSX9akWfrRcD13OjniKeHbkNbe70vD3ktL92t4 +ELjLe+TEHR8a5veEVtm5EahzeGZ7v5fEj+9TvmxfTaC0Qu80eh0N7y0Cui6s +JPDS+SHWTnca8l6TD545Eliudk26xJWGlvyEXWPLCfyQEFk16kLDsp4l4wyW +SfieI7XaypmGy49fuvssIXCD6uWKOAcaZDbfjDm7mEDXI9KDr+1pKOw/EFFv +SSCTlz2qsZSGkaDqxZPNCbweOef5NlsaZpXPabQwlfj3h+V/z5oGnzDTuWFi +AgtytOuVLWm4wC2wLBcQOEm+a2CDGQ1nbqtzR2kC53ktP9j40RD+B6cZFRg= + + "]], + LineBox[{{-6.535086026832071, + 6.4851625793739425`}, {-6.532452355157154, + 5.979093603517212}, {-6.529825086686318, 4.623427543352312}}], + LineBox[CompressedData[" +1:eJwUWHc81f8XRoVSRt3PHUhGJVIUpSihlMpMWQ1KRfUtRUaFECGioqSU7L2u +fV3OEZUoSUaIrLJpSEj6vX9/eT2v9+c9znOe85xzyZxwPHCKj4eH55IGD8// +/3oGHNzrSxdH+mmXqxdKs2BWKH7Dx2XiuK2j6eC6N6WQc/83V1lMHM/41Xpe +WhQP++Q1BwOFCf4ULuLhnAidYJ3fKySO6lL+v55IJ0Cv6R5J7YXieMvrrp+r +ewJoFP2SesovjhyNjMb54QnwMfUY5+88cZR/wJm6lZ0A/sVeI8d4xbFJZ6Vf +mU8C/Nlmnlcxx8K1E7VL1DkJ4Gs2uHj1LAt9feR5t1QnQHL9jt/B0yzcJtU/ +SW9MAL8tpy7+nGRh0P7hV+ffJ0BGvoPrkQkWxlpHBe7rToCgxUcFXn1nYVf+ +ws8ZVQlw4LGljOo4Czu4032K/Qnwc7fL82cjLBT+uXVv5FQCVLvXD4gMsfDo +rvc6ogQXLgu+593PwrxNP8V5RBPB6dzrsh99LPRQXo+cXwkQsj3P4XQPC8No +C9TqZhNgJNn5bvtnFsoU94e4L0yErdJbNx/oYOHIwIpPojqJsOD8pkM1bSzc +MWARc0I+EQSePBnZ+ZGF4XJ/fotqJ0Lov9SZ8iYWcndmGMzsTQQ/iQeemh/I +euvCyQ+6iaCY+sy5pJ6FNzn/zJOcEqEmSKh9Sx0Ln9T/fOrnlggNIMEuqWVh +cNbfRZO+iTBuz/qt+ZqFkVW+fPc8E+FCrnEKvGRhCeh3OpP9nc2Lq3ZVsRAz +JiTPhiZCMD1Ov7aChY8SXsumPEgEKsNOzQxY+G2T2UrfxETY/jrF/xOXhXNp +K/cERCWCz+1aDXsOCy0rvlRMpSaCLa/CgZ9FLLylFP86roS8X1imxruAhbsF +nPWa2hIB3OmxInks5GFXTJn1J8LBlgtNMTksbEztU9z3jvARdu/UhiwWeu2o +ohU1JcL72hHjqnQWKkk3/uJOJ0Ks+/A9y1QWxiSyDzv/JOdr/lMaS2Lhicf7 +xHaIJ4HR+ceS/gks7Nm8XoriTYIm2mbb5XEsVP+8Q+MclQRLPu+ZLIxhoeue +0F3HVJNgtYRBh+kTFr5YW/fPRycJ5uXhsrFHLHQHD57zCkmwYdXqh8EPWbjl +nYbmQnPyvfc/B8UHZH3y7DF+8n3q4Qa/mnAWPjeR+8B7LgkSG1YPnbvLwtt1 +GBNplwRZXgGRwmEsfHNusY7ViSSIu+QTzA4h8TfeXXnZPQmclROqLG6R/A44 +8GvfSwL1NB+duQAWGsW3fRcLSIInmlk8Sf4szFky2jnwKAlSYpDH+AYLfZ5I +9PVEJ8GZcVPtaW8W6jKOeZ1JTIKF0X/LErxYeEb4h7BiYRIEnjnubupB3s+T +tj0hOwmyHZZf+HeF5N9z4JBjaRLs+fnhSZYbCx8bNwvyVybBjSQFfhsXFpZf +lKupGib8HX2RKOrMwvjucleBziSAdSbXKi+yMNqXm54wS86zcfF3u8DCq2G3 +PMK/JYHM+Z7nSv+xUFt2LqxaKBkeTe/e2HuGhaaLD8ypU8kQ++5gwyN7wvc2 +OzRQSIaONog1O8XC/ttaqhYrksFspVbMEjty3hdhu3nqyZD+JuB1tS0Ld8kF +PTm/Lhk+Clqs8D/Gwodbh0fr1ZJh43KHGN0jLFT9+kJQwTIZ/rO8os9rzcJA +U7ETvfuTQUJ0P6vCgoUXVwUcbzVNhj3RMaK+h1j4X+q3J+iaDD9NNdftMmNh +07v5FheuJIO7d995AVMWXtOdf2uhVzKc/M/ufa0RC5f0ytpfv5EMGvt9ze8a +sPBQirrLvofJUL1jyazFPhbK+g+JioQlA695A67QJ/wqCx/AvGT47hUbP6DH +wuozCZIxKclQFWwQz97JQunhm3k1RclQvDa53FOHhXrJnmUmH5KB+/XmxN4d +LEwXqNjm8zYZalmVOxnbib7VBTaaEezxUy39iwYLu0P2d737lgyKF4sUCraw +cHi9oczuMRLPIfly/80sjNOMd3OfSYYIFTt7CzUWClwXzKtZkALCxvtXKm5k +YUGRqeteVgp0lVf8/KvMQpufdpW+QilwQD+tsWEdye901gLjtSnw8dzQi5S1 +pJ7jbcFzYwp8O3rm5XUFFn46kGzWo5wCd+eJNlnIs5D/xl+z5J0pcGus+pvK +KuI3x/8T2qqVAhPW3kwhORIv/erUzLEUGFVcuf+rNAtXOFEesbYpYNYbH/Bc +ioVJ1YdXaP2XAn0p397ESBJ/vrOxa9vpFIjd9pflJc7CKPk6HVG/FKifKjt/ +lMnCtiD2+BKPFOh8s+bVdjoLz8+N/+t6nALJmptWraCx8LIel7PzQQqssvh0 +k3cpC6vm+MXbHqWAWxlzuE+EvG/Pp01UYgrIPfhq8noJC50dDgh1YQqIhu0s +yhJiYfNv5516VSlQ8HH98vsLSf8wexTN+yoFWCtTfTwESDzt7bi5OwXOxuT3 +nlxA/HDdm/9U21JA8cdBXaN5LDy9UfBe/TDhSzMsegsvC4v9e3ZeHEkBF9Gz +3+X+MfGc8N/6B/NSofny6A7Rv0xcWP1h7tKyVLjwSTbg7wwTucpGLanMVChc +Tb0cnmJi3HKLq/9RqeAUXf+nbZKJNoscBj+uS4Wy4RPytRNM7A4ViGVvTAUR ++fY93B9MDKXXvvfWToUVFXuPZH1jooqtj/jCA6kgF4x2sWNMvCceuWijdSrs +yz1w9P4IE5+t0eHYHU6F18U0/VtDTDz6Z7g871QqOHhKynkPMPHJ6p9bWJdS +wX2dz6jrVyZu+aeqvO5qKjjvPZx0oY+JP77v/d52MxUaY6oM7HuY2MVX+to7 +OBU093/8bNvFxOLqRdMvw1PBMpt97HAnE5d3RBgpRpH9bpeqzT8x8crRiyt4 +E1LBMFxV0qyNiQPsTdvWFqXCJTWWlclHJqrbbkj4h6ng92anl1EzEy9E54/p +fkiFjEXNtwwbmRh0yquw+00qiLX+9DRsYKKbWlRnXWsq/LN6bm5Uz8Sxvv2l +hoOpwNNvTzOpY2K5zuayjj+pILpkceGBN0zs0BthLPqdCqeDWzTMa5hE34YP +0hekwWuTiVjraiZqzh0yM5FIA5crt4dsXjLRxFHnByxPg70G75adrmIiX128 +lItsGkRv7Zc8/5yJQ1ek9sSqpkHbx3kLXJCJINrTuGJTGsh+OVjrWc5EoZla +x7hdacDcLuQYwGXivmDVbSmmaWD82XL8LoeJ74fz8g9bpsHswMX9T4qZaM8V +9lCySQOp8ADf1EImMlhv7rJPp4HfhobwwnwmekesVox0T4Nh5QCvKjYTH06X +VW++mQYCop06H3KYuPoNlp29nQbiDiIdPVlM/F5/9NTjqDQ43XXQ+GcG4d/h +BftYXBrkbBiMnJ/OxER+2p7QjDQ4KStYSE9l4pG/Ok8cuWkgdnMsRSGZiWcv +pHmIVKXBEY02x+2JTPxdOHyZVZcGXqsWLToQz8SqeyNMmdY0OKVW7mofy8Rb +kilium1p8NdSvcAzhomSYRfetIykwebAoqqIJ0ycUfkTcO9XGpQX+SRkPGbi +nqT/+pRm02BNR6vZiyiS78XngsYXpkPo8PyGzkgm6rdMdY0Ip4PRe32p6ftM +ZMdNDbZKpIOt24g6LYKJtxcJjZ5ZnQ5j5epSKveYeOcXn/259emgdt253uAO +E0OWM51ntqfDT79Bw7Oh5L3yCemX9NOhNazvfmAIE/MeL9HnO5AOviY5ycm3 +mKgV1JQ+eiQdvtlH+b4KZOKuT5E324+ng/ip0VUDN5l4U7dPjOdCOjyqnLmz +0J+JtUc2OIe5kvsGRSvX3mDi65NKShe80+HZKu9SIx8mLg54O/47JB3EcqKu +OF1n4uNq59Xn7qeDZWL27ANPJvacyLjvF58OOgLULu41JtZdnGw6kpEOWpzl +xj1XSH1MprqF56eDjZ/U8oXuTNQr6KtKgnTgEzqfqeLKRCsFvZPP3qSDTIPN +P8vLTLwv/OXcm/p06NcwWurrxMSckI8vrLrSodf7zpf0i4RvI86u2YF0WMu5 +7t58gYmreD9Ofhgn5zW51PCeZ+K1SzJ+6nPpUPTgbdu6c0yMNZAR8JifAbZR +PSnWZ8j9mpKdX0QyoGa/mFqgPRP53eQNHkhmwIbxwmuFp4h+4jerbpLLgPv3 +N1z/YsfEjFta5YfWZYCyTNd26gQTv9wdj7m8PQP8dWWL9GyZePdgkE+pTgbo +uVkOuR5jYlpopvVTwwxYKtjXnHKEiWVerlcqzTPIPCDv0W7NxJKGkJV2thkQ +eMivVdiKibnFq8R+nc0A+3s2Y7oWTPxPZGDdaZcM+KCwnON2iIkxfvzuz70z +QHq/7LZMMyZazssb8gzKAMZgo3OvKROvNr2VnYrMgMMlj23FTUi9p27+nRef +AakbO3kPGDFxOOLNj4RMsj94vsUtAyYeYv5Uls/LgD9FbjaV+4hfLRagZWMG +ZJ+LFf+rT+r17ptNVbUZsJAaCVDfw8Qd411Rrg0ZYNDxPMlJj/hRkNdfdmcG +JCXfdc3aycR/Oa/ig/ozYKXoi8khHSY2fltsMDSRAdZnalav0Wai04/eENeZ +DEjmivCf1mIic/e11huCmbC0el5EwjYm0oftZORFM6H0L1Xfq0H45ppp7hHP +hHs+hSVyW5lY9GmHV/yaTHirYG5yUp2J0y/tb/WoZEKjx+nwxE1EDwp8/9rV +M+FltpVvvyoTvx6PD1qzOxN2J8VJKm4k9X4uStzKJBOmv+UfP6/CRO3RahFT +60wwfDPfNHc9E8cV7iQ5nsoEiRUCQ7+UiH6jlPIencsE16sblDTXkviPCbV5 +umZCJWOG7qPwf3+XfjV4IxP6WlpSX8kz0VXKoeJfaCac09XtE15N+Oi0T7z9 +MBP0/XJfmK8k9WwWdzAylsRz4alhjCwTM7/c6KGlZwLN1ffagDTJX9q/xryC +TKjPbTHauIKJJ1XX1ls/z4T+VuYrj+XEb8dWf3j6OhOmdlf0vpJg4jZxbeWL +jZnQ9M0gYZk4E/e653jyfc6E7+e3CNoyiR5Xm9JqBzPB6TuPSCadiX0JSp7r +fmWC4v6VxTM00t86OIIVc5kQ/1V63t5lTLT4aD0ruDALZqpdxiPFmBjl+l9n +r2gWnLgb59EvQvz6RKWruFQW2LvJp6kLM3EU5qIDVmXB9n3+boGLiV6uCb1n +bMyCrY7b+1oXkX72NPXeHY0seNf9fnztQiYuq2gxCt2VRWayF1FeAkQ/V9++ +eG6UBQ/9HnW/X8DEVK6IQ8jhLPAOa3q5aj4Tre9vXTx0Iguo6Bn9q3zEL5fq +jHmdzwI/v1D7dzxMXBcjnrfRLQt48+iyq/4xsGXjvaphnyw4J8Nyv/aXgc15 +bw643s6CHZaSZxr+MPAlteTA6/tZIHE+eUJhhoETnyQ+h8VnQQ+frrjvFAO3 +hYYZLEvPAgP9y61tkwy0b+1/2FGcBSa/X25Q+8VAN3vb9tjnWXDZrFI29CcD +vf95Wn+ozYIKxZ/pA98Z6Gu9aeXkhyxIb+h6s/MbA933yqw63JUFZxUY/jFj +DDSXMzSUH86C2HCZxj8jDJTovnO3/WcWHJkNLrEcZuB43zIv139ZEPWhR61w +kIHWJdnhHwWzYZ9wnh5tgIG8GwQWNS/LBo1Vt4advjJQrlDKV29FNoQsm1zV +0MfA2GOZElvks2Gnhf/Ehl4G3kp587laJRv+G39pfq+bgQWfna9pambD+OF9 +Bj8/M/CDmO/9a7uz4Wh0TOPBTgaea2cmPzch5ylbjBd+YqDIJafZv9bZMLmU +L5rVzsB63giTsyezQapiQ5tHKwMzxt4/f3whG9o3uKd2tTBQVFtoUvtqNqi2 +2i/Ua2ZglK76lOHNbEhPCp9ObWTghY24MCIsG37MC7si8oGc//djzefIbDBt +Gg10ec/Ai4N5Gorx2bDFfZf8p3cM1HViFNKyyPpz+YM76xi41DTLO6IwGwJ5 +14mkv2HgqksXDq+sIO+bGbRYVsvA/lnrL0K12bBgaGKdx2sGOrxvHwhsyobS +6313vrxi4JO8Tt/FXdkQ02PsbfySgeGLZ74KDWVDRGbdn5IqBuat9gwP+pUN +vWNTfKsqGUjnZQiY/csG2zX29+9UMHC107qIrgU5sMOIzZ4Fsh6QLfjfohzg +e+lsfaacgQ2M1XyOIjnw5bReSDOXgWXLdq35SMsBS/eKPbtKGfjrq1+qlHgO +eOf6hrBLGHjIVeeik1QOvN+y0lqmmOillrP8uVwOnIzXyblTyMBZ29engxVy +YPuEayhPAQMTzukXia/PAdvHthMX8xhYueqmgalqDrx2edzdnctAmGcvXLY1 +B6LeVB0yyyH5VD1YOLk9B0bNrpq8yGKgbN+IzS/dHGCstX6vnsnAsy7/8m/p +50BpO9/HtHRyftyFUA3DHJi0XHZSKo3sF/5qsMwsB2LmFF3upZB8NmuVKVrm +QNjdwUUCyQxU9bo+s+1oDmzRGl/pkcjAtavWzi44kQPLH356/j2egY/Kq8rG +7HOgMepAn30cA13eDRpr/ZcD/fE/AjufMTDw1O8NKk458NjjWM6hGLJfjFdu +oVsOPDDaYv32CQMftpvtk/HIgeBU2Zt60QzcHP0l2tEnB1g+qFr+iIGpSy8f +5w3IgYtrC06oRzGwTtX2sXdwDuw9kbA0N5JgqTnN/XdzQFZn4861DxhoFW2d +c+Z+DgTqzZtIjGCgrYzZnbbHOeBjyF0pE87AOzJfpMefkfMe8jVF32Ugj2Jl +lWRSDvC+uDafdYeBB6zWR2WmEX7ev2XfD2Wg8qf+tR+yyfrymM9LbzPQ4ihf +9I38HFA48eDWnWAGGvrbKMZxiF5KrfOEbzHwhfEinZWYA60x4Va3Axn4xt13 +4nBVDtzvG/BYHMDAuLz4jq+vc6CjhG95iD8DT4UmvJR6lwPlGUFbF/sRfezz +wMrGHLBOXN0Q4svALhHX2c8fc6Dlq+/XJT4MTCt8tOhNZw48E9Z3DbvOwJ/R +lUtCenNgPU3aR8yLgd8zXr50GMiBXP0C/ggPBtaUOt94OEbwITY/4xq5Pzyu +ovlHDsD2596PrjBwVHbfV4mpHNh3+M5lKXcGetLsPkf/zYHTttXdca4MlPId +kh7ny4W3h+jV8i4M1GFdnYoRyIXdj1fLZzozMPHcsHfZklxI+Jo4t9GJgaGn +NtUwl+aCzE4do5KLDHysdO5zFyMXjoklUdqOxB935/xRWp4Lv/h9D746z0C1 +TdJPXGTJ/nU3Fhn/x0DaS5o0XT4XnvZYqLecZWD8m2CX9LW5IN6S1WZzhoER ++x5Wim3IhY0i6hMD9sSP2gKlF2/OBd7umBtOpxm4USTk+0XNXNjx62Hg7EkG +rjtFfUrUzgWD3Q18AXYMNFspVnpidy5Yr5j9LnaCgeoF79MC9udCieSrQ09s +Sf7m5W8QMc0FpbV96xRsCB8eZYJJh3Lh9835VwuOknr+5oNih3NBh9u6VfcI ++f670bNrtrlgk0Sdf2fNwNO8aiG6p3JhjePZZUetiJ90PJ3IOpsLIaG3lIYt +iJ7tl/2qcsyFFzVriq+YM9BAZqmCnEsuGKtPFQgeIv7Zv2Dp1qu54KOWseqh +GQMVV7xHreu5UOQ4xb/mAAM7DMJtXP1y4XTPHatiEwZqauypfhaUC//eKyzf +a0zy++flTEVoLozXuZm2GZJ6vlz/siQ8F04VKE+eM2DggF+ia9zDXPiazi80 +t4/4RU5JUdfTXJCVY4fd2UvuZ+zN0IvPhb9N/Tfk9Bm4KTXgbHlKLuRVH+0v +3M1AVjD33nRmLkzr15Ts0yP5Pf6jsYidC7kjvTOdO0n+a9eopRfnQta942nO +ugxckv7gdHBZLjQcn3klqMNAv4ub5nKe54J89SmzpzvIexrH5/Je5YLbtcMG +aloM3HBTgH/L21zip+Hsmm0MXOzC+lvekAvL+V76H9dk4L7+gNiHLbkwHJv+ +YmorAwVVG2/wd+TCMvm/l+5sIfU9GGJS0J0Ll5Kcb61RZyC/z+Lvwv25wL1S +LVyxiYF9jsVfzUZyIXpHwZyVGgM/nU5bcuJ7Lri2/7T6uZGBx63rfv+cJPm/ +rCV9ewMDj9atfzL4Jxd4XIxN5VWI/sK0ZoR42bA7pHukYj3Rf93IV2N+NhxJ +z/5xZB3Rc9V7aT0hNoTwu5yYWsvATIGLU59E2eBNG9WMUGTgtf8+a8RRbBAN +/eClokD8qXqHUq84G3ad71N8K89AXC34jinNhg1j7TvOrmag/FqJqWer2PDp +tmuZwCoGjilfETVRZEPRwkvxiXIMDJnH/6FTmQ1fbAK/75Qlfv2ltHdUjQ35 +dVeSe6QZGBkZHKWvwYa9jXwvfFaQfmzVc2j/DjZUrOveKyNF+mvX57v79dgw +09KwqUKSgdxDTd84e9kQJvwg8LgEA402b3U0MGaDzv5BHT5xBgZFzFnqHGSD +6+7g4/FMMm+csT3ZYsUGk0mN/l0MBhof/NC4yYYNhaFFDV8pBkrXNy7Lt2PD +bW+UC6IxUMXHp9b4DBsWXaXa1i4j/Xv9jS/MC2wQOe36q06MzAOmk9ruzuT+ +c/EuTqJk/ji/VeWGOxsYY0es6SLk/unWQ1e92PA5xC6es4To4UGsntkNNmyT +dTexWczAheuUSt8GssGy6vDx+UJkPjJc4yEfygaZqndNqQsZ+DVcY/b1PTbU +ZtzPNBZk4M3bfo/+RbLh9C7HgV/8DPwj4Rh/+Qkbem9J3YxewMCd7sSK4tig +xDl1c+d84q+XGmg5yWww1xMYHOJj4MyhnTIpGWzgaX2ReY+XgVU16w7qscn5 +1icbNXgYqI1yp78WkXwMJB7pnaOj06Eh1QYu0Uer4e6Qv3R8NXHAY7CCDZOl +K+5umqVjh8sXMcVXbOg3/7zt8wwdHyQ999Z7wwbjFJO9QdN0nHHYJHTvPRs6 +vqgXqk7Rkb9hVczWFjZc9LC60TlJRx5pBqumnQ36Ildzgn7R0busIutENxsi +3Y9t3zRBx6W0ll/Hv5L3VNcqdP+g4+o/0g+YI2yQ3B3gcvs7HbPEFYz6v7Hh +yX/m0hrf6Cia7aMnMcmGlWNzCv1jdKybT2/d/IcNibm770WM0nFCkF0UwZMH +nxt+WuqOkPc/pu5r8OdBSNwbz29DdOzvmBEVFcoD3qRInphBOs59M3ppK5oH +zx5IdBsO0HFfeVpmEZUHdcdXrPj7lY4KdsYfPojnwfM1ZzkZX+iYUdSkXb4i +D85qV7KP9NHR8FO2zupV5HyVHwJLeun4/V9z7nXFPDicX15S1k3HpOujInHK +efCi5NurC110NPZ5Jhiglgf8x002Sn+m4+XXCuWnNfJgYjZx6n0HHW0m5o5Y +7siDy0s54n6f6Oi8PlSiflceTFsceri5nY4qx/lqxPblwdcC7UuDrXSs+HU6 +yNw4D37o6SVGf6Rj1+9bknwH8+DfASU1kxY6PlG8px1hlQeplrB8fjMd/3gH +W4wfywOredXHixvJ/WHF+9VO5sFGFVGe8x9I/kdvbGOeyQP1keNTMg3k/jd5 +afIX8iDwcsC+lno6Log2XOfinAeKm/dPhryjo3z8j+VrruTB5Fu3P7p1dDxW +Zb9a1CsP7AQ+Wk2/oWNng8dw+Y08aOzYLJZTS8d6zZ22FoF5oHfNRsa+ho7L +sjMc1ofmgeqW5bekXtNRNUDw5NbwPBh4rLm/+RUdfxt+WGbwMA++HL55MvQl +0YdOhIXLkzyoPPy6afcLOtLWJSyqiCP5yah/+q+Sjttcvm6WS8mDntsOUPyc +jpGHNxj+zSD5PHdU3amCjp/X1++tZufB/K5r/EpI7j/R1/aoKA+Mcu8ofS2n +40fPKT75sjyw/OCQ+qyMjr0vb13/XZEHYqffexzm0nE4c16t86s8oBVGJtFL +6dj20Hig9E0emG8LWt1QQvTAq71dsIHw+8R59nYxHV/qJT480JIHFakr1+wr +oqOXw6nW8E950Hb0bCp/IR1PaRtKVHTngXb3Uu/KfDqau328+PtrHiTfHEn3 +zqPj4o73ltdHCB+1L5S02HSsbHEs4XzPg1ar83yzOXRsdYudDp3Mg+B5bCVO +Nh19Zd5kLpjNg6aXJ9Lds+gY7Mq3wp43H6prjbzUM+n47XH7IWX+fHA5qZc4 +mU5Hj1sPRW8K5UP2Yrp0YRodeccdfOTF8kHy7J0xl1RSTzGv3HbT82F6v5/o +5hQ6Nly7ff6uRD5cTqvwn0yioxtNKblWOh8OJzONihLpKBygfy17VT4I3rY6 +455Ax6GbG7YdXJsP/O8OtmyNJ/7BywcxKvnQJtge+SeW6OG4qcq9TfkwNMdN +K3tG+HYTWN2mkQ+fn9SKeMeQ+2cCtFW08+HHdMtL3ad0/JE2+1VeLx8KjfPe +LXhCR4k//nti9uWDxjxlxdeP6fhwTfLgsHE+bH8m2RzyiI7nohQHrx0i8bYa +fjCJIv7hVL47xTofaEERMtRDUp8HtltW2eSDU85zbH1A8ivz9iN1Kh/U3NJy +nt4n9R72u/vHmXyYXSv13S6CjqGzZXtNHPNBbtc3H4VwOvJVLeD6XM6HIuuf +J8bv0vHGfa5J3ZV8uLhhJrzgDh2bn9+J9LqeD1PZLTSPMDpqRpvIX/bLB+Pe +Y190Q4k/Lv+U9CYoH5LnTixYdJuOP+3cwzeE5cNV66LL74PpuLzSKGZrBFm/ +rKwadYuOa+wT/tZEkXyMP9U+HkTq03suYHFMPpyPaI1WCKRj4/jzsq74fFhg +nLfnx006LvTmW66Umg+/VXh0Sv3peJGvV9wuKx9ML0YE+vnRsVpmt8lkXj6E +2++SMrpBx9vSISvHivNh2/0+XqYvHW/N9fdeKif5eLxXtcebjm+8+nOwMh/G +dPTZGddJvbqtiEiozofWSwVebl5ET+H8ATvr8kF76+mHup50fPRwq93GD/ng +/lr53xIPOn6QsW/w+pgPS9362a1X6Zi9WGXXq458qC05kZd4hfArzV6/vDcf +JJTceJzciV/linqbDuTD7eCZKC038h6jbH0czQeL4ufXhVzpOG4h7LT4Zz4w +ChJzP16mY7s14/bSqXx4m3RFOcmZjku6zTwe/80H3ibatLMTHe9dvemdzVcA +71MMhXUv0VFKUiyFV7AAijNnLoheJHw4csVklhTAwJ0f4p8v0NFEn1b6aWkB +zEovXpp1nuTHWb5FilkAJ42kDnr+R0eDHe881ZYXQI0iT7fBOTru/ezaliVb +ACqDgcWSZ+motMAwPF2+ANw6wtpGHOh43+fN5mqlAgj1GNldZk9HgdXUqPVG +sn7E9e/t08RPtdriTqgXgIPqgrljp+gYrlDS0b6N4I8X9VVO0vF4zZceCd0C +mNC9+4nXjo7dNywnFfYUQPotLc6H4ySe5dbZUQYFYNBv0p1oS0cj2e7nfAcK +4EHOM1N3GzraqS7z2GFRAObH+IX2H6Pj/vsrRcyPFEB2gPUSqaN0DNugZdN/ +vABye10svx+mo7IOX52gfQF81N8wUmVN/FarW138vwL4knGq+qEVHfUOBNDT +LhVAxsqRkf8sSX41ri0SdCsAvb4nVjoWRC9nvaJHrxXAa62DwnRz0s8PNsqf +8CmA+sSBRcMHiT4j4jNcbhZAQ6qaMZqR+cCj54tySAH8mxZrv3+AjrrmVqsd +7hbASzvrrHOmdHxvMss4/IDw3dBfrWNC+JPj/815XAAiphGKTGM6umia8knG +FkAFv8aHMUPSTw0e6JgkFYD/1rznLwzoOLCsu7gzvQC0DNumovfT8b/colV/ +cgrgamWQy+V9dGzR1bq9rbAAFmlGbzHYS+aH7dNH7EoJ/xdHdFbq0zEhjls0 +jAVwY/uhu7O76Wh6iNut/7IAFKJyVzfp0XHyenS+fm0BnIj8xJu1i/Ctvkkn +t74AzM7kygbsJP3/qFctt6kA2o4IBdnqEn3y9Lk4txeA46cXaho6dGRpz+ad +6SoAG0fuKpo2HZ/Z/Rda+oXoo6Tm8JgWHa/lZWWoDRfA3atvmqu3k+/Dd9bs ++FYA0mFPHsRvI/3SLGOg7lcBxI6zHntp0nFq9kvkwj8FwM1Z3melQfxyr6nF +Bp5CSODzv7RpK6nXi54eVxcUQsMGpZ1iW8j8cEp98etFhbA5adxydDMdhRQa +EreJFsL63nT2603En4UPLTlDFUJ/wHaTJDU6btg1/feFeCGkGPlsuKFKzlt6 +qUVZuhA0lhw0t91IR8svM20qqwpBIf9e+fYNdNzF+8XLQbEQjhuLn5VQIXo6 +q/xQWKUQshZUW06vp+Meo2LBPZsK4Szzyq2WdXR8IZJ4IF6jEH71LvpXoETq +aXtcxMiOQtD5bF0YsZaOK3d+0FqkVwjOj3fnOCuS/I23nL2xrxCOVqWPHFAg +/VI8aCzPuBDWSDuc27iG9HsjMVbvwUKoC7VSWipPx09Dss9VrQuBs+iY8o9V +ZJ69/jvE0aYQJFLMLjespGPxFZWpiZMknvvMP2w50j9cV+RLni2EelZwZbgs +HYOGv7w1cywE+8igt5dliD/nmEqWXS4Eo6AfTHNpwrev9oLxK4XQeSMhUX0F +HQNXdUrrXC+E5Zu8nFlSxF9OqQa99SsEvZPHfP9IEn+QUHrfHVQINd/lGjok +yPzpt//IpjCyvznzBIrTcWu8erxLBOFjVbtqPIvME6nqCaNRhXBtUbDeTSYd +xfaOTGyIKYTt1dGRZxhk/3hT18mEQhgqHVcwpJP+lFZTHZdaCN3WdrMqFB3j +/DhiatmFMLaxRZii0VH6oPwbu3yCBxWPTy8l/pJpMhZWUgjntbR+dojRUe6P +oJIaFIKYwPeq56J01Fe4qbKziuRzo1xzsgjx+8i2ow9eF8LKV/mrbwvTccWM +VURjXSEM9voXOi0h82H85E2JxkJQBld/y8V0/OqskH+ntRC+J9mHawnRkcl6 +FT7eWQi/ebZ2rVxER+7VQl+BvkIo31d7TmghHemsvCUPBwuhlvlv0w8BOmoM +wcfssULQZRRotfKT+l+q7DV/guhxYZ0/LiB+r1zasGe6EIxrFIVS5tPxQPte +9vM5ct++jLqweXSs+cX9wZxfBIYRqvVufKQ/D8/75LmwCMpexIrY8pL3vS/w +6RQuggTqY4g+D9HLVVMhfloRKL8v2rPhH4VfHXctV2cVgdwRWW3xOQrVVoy+ +fS5VBI9Vpl3m/aVwfmz+u+9yRXDx8/LBkT8U7tGXFVNRKIIhEaeo5hkK61+1 +loWtL4ID11tu4jSFrkdNb0+qFoEBr0pu2hSFmlcr1+3dWgTs60eZ939TuGuT +CztFqwgCZ3S41ycpjNOL38HdSd4fANFnf1E4Xq/qs39vEbw1LS45NEGhn2qi +pINRETx9LLxM5yeFAd5pf4bMioBTmpCi9IPCSBWxgsVWRSC84uhV5ncKhzTn +5nkeK4LRPeKB879R6JUUvynXrgj068rffxujcO/906sUz5B4bdZZdIxSqBpR +s8PxQhHwlekza0Yo3HfH6VO9cxG0wU9a0TCF6+tjc3iuFIHWQTHDhCEKlSTq +z2t5FcEuDz+8O0ihwOTiLS03iqDbSMXx+gCFCkr/bMWDiqD092/L8/1k/fS+ +tU6hhM+ics/DXylc+O1abEI44a/XvmPvFwrfe2jS/jwsAr+vzW5b+ijc3zsW +t/Vp0f//P2wg30vhna/RmbnxRSDpFXGE3kPif/7t9GRKEXwzTEta0E1hbFNI +3OmsIjhxhrb212cKk2MtJZ/kFcHAs8LBvk4KZa+ttWGUFMHkx8s9jR0U2j9S +OqVfXgTDC1WpF59I/CE6NamVRfBQu8mnoJ1CG37BdYKvi+DGkx1rktoovFl/ +x8m2rgisD5kLRraS/HSlZj36UAS7c/7KBH6k0Irb/Z1qLYLgReIuV1ooNKre +ObOvswh+fwjjPddM9CFX6+/fS/gM2/nqSBOFRxIiNo4MFIFGE+ulUSOF92M2 +9R0cKwJ/o99/tT9Q+LPdfcGdn0WQW4IXVBsoFFMfGv09VQSF/dbM1e8prAtS +0dafI/kuS5th1lO4Pal5KnJeMZzacJ9a/I7Ch80cHb6FxWBi/M/h31sKF50s +kTERLoaHanUTP95QyG8Tw5u0rBimxfqLv9ZSeO6W5oVxZjGor1UuaKuhUDhz +R9I6qWK40Rw8WPeawpA/cfO5csWg6dlzqLKawj+nq6UEFIrB8jFzpugVhe0f +tqddWl8M2rCsOeMlhR25y9oSVItB4lbJYOwLCgUDb0kt2VoMT7LH1SKrKBxt +LnK01yL41+OikEoKm25rb4/YWQweagmXfJ9TWL2S4zShXww0i7ET7hUUOmWV +KJCeAoutbYMvIPl+9WXHErNiCDboGjoJFC476D86YlkMacYHfQ6Xk3oV9qkz +O1YMeQ/ijA6UUTg7vPtYoR05/3Tugb1cCrsz7G3XnykGZbr9be1Swo+gwunQ +C8VQIpw2p86h0GWlpdGAczF41dgmKZdQeMJq9PecezEMNV3yky+m0NwgWu+u +VzH01FU+XFFE9GUYblRwoxgETm3vZRRSaLxNUkssqBhkrV7YiRZQ+Nbzqtfj +0GJo8tQVX5hPYdREBastnPBf+JifL4/C52nRNqZRxRA/XbTmTy6Fa4N9e5Ke +Ej4NvLwnckg8gd7SA/HF4PayaclYNoX5IvOEDqQWg9rdxPr+LAp/ZMxapmcV +w98vjdXdmRSaWU4KtuUVwyeR/ZPtGRTe5nMs3lhSDM/Ojls2pxO95r84VVxe +DB9PpH6rT6OQNRApIV5VDNKutmW1qeT9v67G7n1dDPUbZ8tfplBIn+Mcgrpi +eKF+8ldFMoWifEdsv38ohgw1b9uyJAofiAwdM24tJv1GnackkcIPBXsFujqL +Ydka58b8BAovmlyyke0rBv96VkdOPNFPXdNOv8FiaG9cJp4ZR+KVXWz/dqwY +tqjvDU6NpfBp9bzLOyeKoW1hnErSM5Lv6JanHtPFsNORf1F8DIWbbxktfDdX +DA6PjjGePaWQ0bzBc/P8Ehh8e8/yyRMKp3XfbS5YWAKdR4LfPoqmUOt3fexC +kRJQT1NxffiY7M80LjhCK4F/a84dePCIQr2svzVJrBL4dFjuREQU8cfAyCcr +VpTAjSadxHsPKWzdqYvuK0sgdEu2xN1ICsOaFN2KFEpASP3gi7AHFCa8ddql +qVwCH+6x4kLvU3iQJbnbS60EPJYP5N6OoJAWK6n1Y2sJqBWnTISEU3iU/8cy +jR0lYGq262zIPQoz1g5dSd1VAnzj8UtD7lK4baIhbnRvCdQ+yhkNvkPhqbBN +XdbGJWDuYvYnOIzCayscum8fLIG3GS6aIaEUXjqbfkXSmrzXiycr5Dapx/H0 +ixY2JbBevePA7RCSDwtxwU8nS8Bw4y+F0GAKtz7xWi9xtgSy2jaoht2iSL+/ +MHPdsQT2pXlcuBNE4a0ouW0fL5dAsgK03w0kfs2v2Lb7agkUfuu5Gh5AobOn +iFvK9RJYkvR+//2bpL+cmH4x5lcCs3OXjSL9Sb3eW/lo960SqIFC3yg/kr/C +Gu+iMMJHqffA4xsUNoSJJgveL4G7H7jXn/pSeDKlUdXzUQnoTx3Uj/WhUO5X +QGRHTAl4rlHVTfCmcEJa4ZFGYglEX9I5n3ydwse6TTGP0kpg+/iZ12leRO/S +l3ZOZZfAy9oH5lmeFL7MTA7cX1ACbTvYNLYHhWfT6D/yOCWw5V7SvMJrFBrc +U2WJYgloMI/Jca5SGKjmwWv3gvC7qdK5/AqFbQkFSa9rSkDpME48dyf9zOTl +xIb6ErBcqJ30yo34pVed5O0mwv9bpcA3rhRaHFWf96mNxLfr0qP3LqTfL5BJ +1+gqAVHG1KfmyxT+3fxfdP6XEnD8m278yZnCf2POxbzDJaBb5vaj24n0o86U +XJdvJSCluPtF/yUKVYq/MSt/lYD2Kr7q0YsUrjPfvEXqD9HDkwczPx2JXlRO +CN7j4UDInbEjMxcofPYi/PzIAg50Cfwa4yGY39cq85AQB2ol7ucInKfwyrl/ +KcWiHGD9KIkV/o/46+zdpQJ0DhSVGT2nzlF4I9fk8RUJDpiB1tLlZymM8Kzm +eSPNgRV6LndXnqGweAFls3E1B7aldexQcqDQ5+DL+Mi1HAiysFuuZk/8yaGP +Pq3CgeWV3xW2naYw/NLM3uObOWB+8fKpXacotDWW9SzX5MCt8eZ3BicpTPrn +3LROhwNnOuefOWRHYcxn/9bA3Rzo7h9UOXaCQhOnS8zx/RwIqLwkb3+c1O/6 +T/Y7TDlgvznQ4KIthTnLnC8Um3PAainr2RUbCrecWRBOP8IBpc2isjeOkXmq +/G+N53EOuN62agg5SqH0AsPvtac50CLanfPgCIWNytK8m//jAOfFvbJnh8l8 +Mc/zeNolDtDLrafSrCnsKtFQ++PKgc/MVccLrCh8V7zI1saDAzG8nb/BksK+ +FTWCNT4cCMy5xK2xoPDLReMquQAO6J99k9VkTuaDwPnTESEc0PFuq+s6ROGg +crbQ37scuGASKDlykMJNRTm8dpHk/F3PI3+bkXoTq2SVR5N8Nl7Wnkdw7qOK +WKU4Dnj7htBFDlBYUnzkoW8y4bPzF0vClPA7IHb+ZwYHym482SdvQmG/Rli4 +NZsDHeIXU1SNSb2Fcm04RRxYZmmtqm1E4av2x6PiZRwo/qM/bGBI6rfzi5// +cw4EN6yptzIg/W9OpKz9FQfsCr52n95P4ff1O2x3v+XAx0BH6cv7KHRkLXAr +beDA9PacYJ+9FGps23RK4iMHnr2/LxemT/x8iYDNpQ4OnDNYMhC9h8KR9/t2 +NfdwQLlyXmvabgp3iIdu1R/gwDXz05PFekRfa4bF2KMc6Nkoq/1qF4U6V1co +LvzJAdM7KwubdpL6chLPuD7Fga9sa8s+XQqL3itojvzlgO1Q7uqfOhSKLwyM +NZhXCtN3GTJ8BCd7zF+RKVgKr0Wv7BHTpjDYre4DTbgULFsro6R3UDhV8fao ++7JSWHT2C0NFi8LhVmudIWYpWBjUVuzYTuFqY9nPBlKl4EPZRRpvI/U0ovY5 +U64UzE8/emijSWGh89MrDIVSYA8de+GoQeb/oLO/3daXAsv66XLvraR/fKRl +fFEtBXu33bF3tlB4weRxuenWUngpqmcSq06hw93g8BKtUrD5F6DI3kxhkC9H +WmJXKYzI/1Wu3ETmP5pF5a29pWBw9Z5toxrJL298x0+jUjD9von7RZWst4Qk +mx8sBfHwJt3fG8n7Ld0mX1uVwuBFmwlBgqU/ftuzwaYUBJIr6sU3kPnPamPf +g5OlcP3IUIuSCuln6Q7XJs+UQlXlq4U7lCnceGTe8WOOpdDE0j9tup7EL234 +puFyKXxNshq1W0f0WWmbpHK1FIbKhp66KlH4+YVnXez1UnjBHbwatJb4q+zh +G4v9S2FKSM8nWpH0w3mubi63SmFWajg3W4H0S8vbbS1hBDvXLK5cQ34/OEtv +M7xfCmXh7+82y1MYTecMcB6RfImNaw+tJv6Y3ue1+lkp7A0RE59bRWEi40u8 +f2IpiGbIL19KsPDn9sE/aaVwcKX0vtUryfy16Vrf0ZxS+MsefKYhR+aV/64G +1BeUgp+0s4yxLIXKMYdSFUpL4c6O9Fo7GQp/PfV3SsJSCBz1jnGXJv03a8+B +JS9LgWdpb/TtFSS+DgV0qi0F5RisjJMiel3jpthcXwpadwVpxcuJ3q7XZe1q +LiX9OfX2W8n/+6VqdG57KVx9Ha7SK0Hhp1NXz6/oJvrQLJidEif5NzQzuf21 +FBTP/f0uTLAFeP6cGi6F8wGHRVexiP9NbO85870UrGvKLTSZxB927cx/N1kK +oW70alMGhTMxVWObZ0tBssP0uAOdwt1LaQlxvFyYOWArd52i0Lfyvv9iAS6I +aW4QfkAjvy9yc2Y9FnPBijdfJnMZ0b/j2S2TYlzolPh4tGophZZHtObsGFww +WHT7ebsY0bMk83yVJBeumD83/ilKYYv40XENWS4sjrBfIEQwS1Vi5Jk8F0xt +/+uVFSHzlcV49OJ1XLhzAgc1hAk/8w6I39zIhfr9ZkyzJRT27D1aMKrOhYZm +muO5xRR6xP3KMN7OhV+vJkZvCJF+5TE49UqXC5ajPRHRi8i8+nhRuaY+F/ql +3tkVLCT8Oa9qiDPkwpvtqdZ1gmTeHLsZKWzGBelNx6/0C5D6Gbnl6GvJBefp +r8BDsN5iWsn4US68C1RcL85PoS4l/P2YHRdyhySqVBdQaOeYHvXagQtqKuk+ +hvOJn9jqBWhc4EKvc/Vp+3kkH5Fr1+c4c8Gp1c7Zh4/M375bLKSucEEz9Hzy +Y17SD3Zcqff24sJQdRNfIQ+F+mfe3p+5wQXv1yH+9f9oeGSd+dWjQVzga/VV +Hp6jYYf1lGF7KBeW70vh4Se4uertMq0ILkS6j05J/6XhVi/aEnYUF3Rf6zK3 +zdJQeaf/WsUYLtimPTxm8YeGLWmDpXcSuKAQ/rnWaYaGUl6PkuZSuaA4X9A2 +dJqGNX8zQlyyuVB2k08ibYqG09STFV35XIjPhNkXv2n4oXrR98McLhykqSzo +maRhH+ebTxVwIdRml9rcLxq2l86sVX3Bha/bRoPECf4kv56dUEPeayfBrz5B +wx4Xkz7hei4E3IUUs5805BGuVfZv4kLMnZpLF3/QcMu+V41zbVzo2rDu+O3v +NBS7Jdl6vosLG40/uqZ9o6HF2fC0j1+4UFrLZb8ap+HDTHWBg8NcUA2vpX0Z +o+Gvh1vc4BsXzB79iuYjmHuqd3T9JMlv59r90qM0dNmopJP6hwt1J21WaI3Q +cOlVf0UR3jKQ2e7DOjJMQwH3NerB/GVg5OW79eoQee+oO+9foTJw0j94/eEg +DdsEWdPnxcpAuqp/qHCAhnLjh8I66GVQILveo6mfhnaX7mQfkiyD6idM1Ymv +ZP3lf09LZcog3+2hyDKC7asuNW6TLwOXP0/FNn6hYYafokm8UhkwPZZvNe0j +/PL8npTaWAZ+hxbcvNhLw+TFPr2h6mUwMrxnKqyHhr+H+VLnbS+D3+nNYdnd +NDz+4Kyds24Z3FgUb/Cui4ZF4p3KQ3vK4Jff0/Xjn2n4bmLrrUOGZbA0lrNJ +hGDITX/09kAZZI4MHFfupGGrwNs5fUsSz5x4nnEHDe9TzxpKjpbBhLOuwsVP +NDRbXVq0yq4M+iZMqu6003Dl9vagxw5l0KW8xS+3jYYP7kz+ELlQBps/DTo0 +tNLQaqHT6A3nMpgttnD6+ZGGjZX7BWfdywBuOz+jEexqbq123qsMxBSVf25q +oeHg7+aRkRtlUHTK46xFMw0zj+s6mgeVgZy0If+VJhqmty+NqA0tA1Wd8JeP +Gmkou1vppXZEGVQUa6dzPxD9PKsZLYgqAzuvPfmdDTTc3XXtp2IM4etuVDcP +wV4MB9mshDKY/2eNqtx7Gq440Pd+eVoZ7Hrdn6JXT0Mf1eLVj7LLQIpWrevw +jobSO8wPChWUwdBMKU9wHQ2f3HtyM4BTBjyJBT2Zb4neloUs/AH/f0/yQP0b +Gr5qUPA796IMLvPfWDpRS8P5KW+kemvK4LSqpi2D4FMtASHm9SSfws/fa9QQ +fqN3bmtqKoPsLwvtj72m4a5L39ftaS+DL8ILpH2rSfxLRlKed5UBuz9xNvEV +DYdHzp7b8rUMZJs6Z1+/JHyE1qqkD5fB6l1x0mMvaPhVNplvzfcyWJHaY7+U +YOPcndynk2Ww0/tew+YqGvYeOdQpOkviN0ywPVxJ9NSYaB/AWw7waNFS7+c0 +XLvAYhOfQDnM/in6mlBBw/dRr1+5LS4HplBM52ukoWHYSMc3sXKoPcOeHgMa +qm5UlbnAKIejFX3qNIKLw3VUPkuWg97zNVFby2l4sHbI0Ea2HJ6svLTcpoyG +R89lO3yULwcqJafKj0vD7s51mnvWlYPmsrbQtFIa7hGPvVyxsRxc1Lqu1XMI +P1mPotW3lMPO7oLgyRLiV1IlHnnbyyFs0rBckmBFzg3u+p3lcNny8bKdxYTv +3SarkvXLweHHneAzRcQfT+8KWWVUDluKZFbfKSTxD0yzo83KIfaZdm9hAQ01 +t7fQRKzK4Wt21/OOfBpusq0/fv8YiWd0omo+wSckNxziPVkO9x0uDq7No6Eo +OCt4nCmHZVt2q5ixid6fCU39vVAOhVfORF3NpWHU6oSCS5fLwe3A25VxOTS0 +PKFeP3mlHBTGTja8zib36XY5/ne9HPquy8V9z6JhvtYZ4QG/cmjWmQ1nEWxg +HrnI/lY5rHXpSdbJpKFbeKJEVxhZP/6640wGDYN4u/eY3y8HMYuETffSaZj0 +hPbr/aNyEE0/nc1Jo+FdHUkd42flkMGZt783lehbZ8/0y8Ry+D54QXAxwaY7 +ld/pppdDQ/zjfrUUGla9k+OFnHL4YeU5cDSZhge26XZoF5YDv7+AUEASDd3n +RS4oKCXxJ6wzzkkk/lFs27auohzeavXmtybQcN9AX3j6y3Jo75LYNo/gV16b +Y9a/KQe2VG2fUjwNzx7OMI9/T/Id3pdlHkfDlDVeRvItJN+fDz/yjqXhZ9ri +qMRPhK/0lclpz0h/OvJRV6qnHNKTNjY1xhB/+/Lq1P3+cjhw88rKf09JP+m4 +1ig6Wg4c/tEIBYJlHNb1hv0oh/oh79UHn9DQI/P8gNgUyffsmlavaBq+fPrj +e/Dfcuhf1JqR+pjUw/AbtYXzAPJG/WIbH5F8ZK80DhIEYPlKF/2LoiG/spj9 +ImGAj+kxo4oEj3XVzPovA3A+NLnL/CHh61n/h3ksgE+OzDKfSBoucY3d4y8F +UPRj+lDmAxpmRbG3zMoBVLeHirTep+Gj1qPd7goA6cq1g/MJ9tm7TH96PcCO +6bg+lQgaXuX5fspFDeDl3kU8R8NpOL5Re8XkVgCRrb80g+7RsHy7zXanHQB7 +vlg8LLhLw/17ljp/2wUw33k11XOHht9EvEMd9wEsWXKILUxwZ9+SulFjcl5f +i6NmGA0n+1m9Fw8BPNwQb+gQSkPHlvtHflgDuG1I33//Ng0XXrnb42xL7HhN +35nnIWR+cBiZGDkFcOa4bsp4MA15/2ybdToHEK7E4V9O8AxtyaPJiwCS3Tv8 +990iepQQYv3nCrD20ys59yAa3lnTPDl2DUDUZ3dPYiANVZr/Uq4+ALZbc/BD +AA1vDWoMfLsJMHx5upyX4NelIW6XQgBCU+kdyjeJn/Ic9Zy4C7DFbFb8mD/J +d1Au1zkSQHjiqXuIHw0jfSozJ6LJ+2k/f3FukP76SEDsUhzAU93Re4O+NJzw +cO36nQzwZ6mvMZPgcqvEYZdMgF8rktbu8SH97XZ8xG82wJpFRvKu3jSsKFkc +4FkMMOR2QTfxOg0Fl/91+03aUxM169HoRep9/L8xn0oApwfDzfMIzqzMMpqt +BqCxN5ioetJwr+2x6Wt1ANvkKwdOeNAQ/7VfnPsAoMWJeHbvGg3/SFaYBLQC +uG567Pb8Kg2dDMr+8HwGGHGoPf/jCg1NTv7WDOoDKFMUvyFL8APmyd1CQwAD +5h5FB9xpaDu+1OvuOADz3ddFN9yIH8l499B+Afy8auSZ50rmrfvzgyNniF70 +U4T7XEj/aHeVXsyD4K4wWE4juGPtkrg6PoSjTP5QvcvEnxvf2t5ZgHBn2cQ1 +V2dSf5sqDh8QRAhdkRKY7ET8xn4yWEQIoXA3I//jJRr2N1upfliCIB61eW4h +wbP9DXwPRBEeKP05rXmRhg7WKdLmyxCOS1qP/edI/Ne5Yqs4HeF9kH7E0wtk +3mKYrelgIuQ9LrWsP0/mgWAt5lMJBAevFE0+gv11V9jYSiHMPzl/u9p/NGzy +fm8jI4Ng5Vd15PQ58n03J6hHDqFUsvN/FNx3PNbfFwDwSlFGeZ6HrEiloqEy +kkiiqL40iJSiZCRJSzJCQ4g0ZBUiRCEzMurcZ08SSWRWSplZacjv/P58vz75 +PPdz7jnnnvtP9xNPyBFnJss8cxmBHh+LnwJPnM8aZxed0CLgzxk+M3lcjpgs +0/+yehWB6FPvJdeiXcVXJw5qE4iq6qO7eMgRg6OpdwrXEcgRX5oQ5y5Hik4u +X3VGj0D4sws3eG44jyR/i9c3ILBfoenBH1c8X/eqFYwb4vc+NRJqo53/ja6v +Nibg0ZSk6HJMjpw+4nElaDMBF+rXq3EuOA+Wlhw2M8Pva1SU4R+VIyMPDReI +bSMw8FCj9O8ROaIQqJbEsyRQPT51cS3648DdI9E7CWi6pjm6OsuR+VkZr62s +CST4/XFMdML5V/4hk7KHgCpHPEB0WI4wKcoD9Ta4H9/Ln09DL5z6YpJgR0Dm +6sx5+ofkiP2cmeccHQjMWP8xzNMR+2HP+/JFjgQc8i2UUw9ifl+rG/14mEBw +4nJR/QH8HmrzWPYRAu55AQ8k0OXtO81OHiNgmqEfYewgR2Jkln9b5U5gp/Gu +u2f2y5FJ96XrRo4TMDGurHhsj/3Iz4Nb5oXfd9Ln3wc77Bcb7PQCTxG4knLs +CAX932pPd+MzBOQfRXdY7MN8tN95Z8Z5Aiv2dQYG2cqRkJEEBvMCgcC7+/SL +beRI1Rt1qQh/AvdNO6R69mK+y8u77gkicMPywpQqWvbCq2XUEAJOcfNk9+3B +/r84Pbj5MgFz1fRNN3bj98ayDFKuYfyb1CPILoyndPq0o+EEtOjXBset5cjd +udtNlt8gQG1jnFuNvmoxFtAbTeCEzhs5VyvM113vNJ/dItBZk1V//z85Uvkg +tfbcXQK/yfr8NzuxHtc1y6+Pw/cvDsicjT5aoaE6mYDrlXF/sXmHHJFK/bWV +cZ+AUcZQz4XtcmRV8PDl8BQCf2bLrn9mKUckvXxcdqYRWOdZ+bDbAvvnbeMu +agaBoJHuparozi/nl73LwvxrjeDt2yZHCj/EHkvKISB2OCk8eiuevwNvJ51y +CXwqkTnGMsd5lqYYtOwZgbUarQf/mmG+jL3d2V9IoHHs9yk9dOa12TEFJQRG +fY88PLkF6yUla9mFMtzP8Rl9mabY7zPiZTZWEHhS835f22Y58lL33t7p1QRc +979vlkcPXu+v4r4i0DvyM2CXCZ7n9/c5RNNxP2ZrbwjfJEfqTVuKbFgYn3+n +KcRYjshfDYlT4hLQsCgX/2WE988sjYWdfAKX9/5U0EGfXZFjnyXCek1avs1r +I9bX/pkzPV8TGL9vEpNpiPng7ma+tp7A6yadkbYNcmT9hUu7fr4l8PDd73MK +6HuvFq8mTQR8F9+U3WuA593zC2LXW7D//NfJu7Ee+0XrP/GdbQR+dH9PZulj +P1EqjJzXSSA5KiP6nx6u/+HxiqaPBJa2TEvcgE69/1k9pZvAdjyPzurivOY/ +5uTWQ+DQ9GvT83XkCK2f9n1lL4GFqxOcv67D+TfdIGy0n8DyHK3mRej9SV8U +K4awPyzXOXVorRzxOtxmETpCwNgtWy1hDc679y0vWI4T0F0Y+v2NNtYbu8FG ++heBUMWSN9Lo+y+M6W//EHigaPDWcjXeP1PCY1P/EbDvnTF8ZZUcuWbXedV1 +Oh12H5VZ+WqlHNHuqN6xciYdHu+2Dvm1Qo7UyZ4bGRKnQ/GtigE9dJKK/Fjl +HDqkT233P62F+xt+lxkiTQf5K8NqeZqYf5377lrMo8PHybyOr8sxnl7DFnOp +dEhy8qlagv5gPONosxwd1t9bW+y8DH8//xM1VYEOarFfmQ+WypFo/23U48p0 +kNwXNdSkgfntZDdtjSodjN9SN8ihK7erBv1cSIfL8r739yzB87D39p9Xi+lQ +oPpE4eZiOTIxcsInbCkddvzMKuAvkiP+B8UU92rSQavIxUUcXWL/VkdpJR2C +nN6tMVfH86ZEpaRzNR3y5k8ohC7E+XGqayJnLR0qxl4pv1STIz8YZyzP6tJB +pLJ4w29V7H//XS0xWE/Hfqd42gD97u/gp+mGdDBpSGKcXyBHttBXXeUZ0SGj +MnlNsQreZ6VXKt8zocOMOMXyQWU8z08uDDiwhQ5fEmYeWI3+9u/iuyVbMf6T +++W9lPC8LtFZMWBBh/tikn05iji/fXdweb6DDhL9lLYvCnheZo5mX7Kiw4Fp +Hj0a6KANg6t37KZDYsS0ucfm4zxdXBtMscH9ettonS4vRxZoGr59v48Oshva +szvk8P6z9xQ1fT8dbCUpC9TQg8fbTb0P0mFattvTQzQ58qQ7MGL9YTrMPtVg +84CK94cVvjemnOlwmrlXvoWC/Suyv4XngvGb9/6HIlps9Re/O250OPjqcM9+ +WYznp5t1jsfpcMm0ZSJ+nhwZW2KuquFFh1TJbUvezZUj0uqfwwe86WAYF+ch +jxaXnPal/DQdVA4z2ftkcH4VOzkWeo4OOp/Ym+5J4/ngWTX7vwt0OJZ373WD +lBy59ZZ1RM6fDmlblgfS0C1Hxg62BdLh9xpfU1tJvD/3HKZlB9PhwewLC2Pn +YLzddU6fv0yHq0cWKTbMxnksYu9T42t0+FF3agUNPf0Xy292OObbTzt7Wwlc +n2UY9U0kHSjnax/EimP+V7xzuR9NB2r/698Ns/A8vJR7w+0WHcykbM7JoT2O +mP7QuYv5EWg1y24m1nern8bfe3SoHCwrjBPD+0o28yMrgQ4LFkT6vpuB85HU +8Jy79+kws7LSVgGtcMlohWMKHQ5dN//PYTrejy2PFi9No8PgFpVDSdPkiJ5E +gPLgI8yHIsPrLVM0Mlj4pLkyiw5SqfF8FXRxxV+ziBw68Bu0lh3+RyOvJ4XZ +e3LpYL+k90HqJI2s6YrWWfAM43u0fkXnXxqZW/TS71sh1p9bU/0i9KNVmS+L +S+hAlxqOPfaHRkI2zVUOKaMDT0/5VNZvGtnlVN2zo4IO/UzLo19/0UhhW2Uy +rZoONWlnvbXQwqFZ7zpe0aGj7O5drwkaGd9a35hLp4Pn2MO6/J80EhrUecSf +RYd9u+8uHxqnkS+Zrxy3cekQW3U0QQdd2zO/R1ZAhxd64uq+YzQit+jUtFYR +9pMKP3r5KI3kT3effPyaDq07nwX+HqERyVxq8+l6OvwaTN+1Cd3o365q2kiH +hcU7N4YO04hZpuvaOe/pEJeaZsL8gb9X48xpaqFDCOeBozh6arfln/Q2Orw3 +0buzY4hGbjtqN3l30mFioUtH9CCNTL9MazD8hPl3XdWiboBGzg//o4h/oYPf +HSc2Db0ntjW1sYcOoW6qh/f304i94OfttF78Xi0bmQd9NFI0q2Dce4AO5rPH +Gtt7aeTi+rRdhj/oAGv/lS1Gn14idBUfpcPwW7dC9+80ElWcHPB2nA5vVmgw +nn6jkZYShmraL9zfk+v6BnpoRCo/xOfkXzpENYZp66LX273NNJyiw4YcpUi/ +rzTSukPGWGIGAwI1u/9UfaGRxY/6LetnMkA5tfP6NHTaQkn/dAkGCPbNXLGt +m0b8hb8cT0ky4NaD7d2Rn2lE8bWGgbEMA8zZWS9qP+H+P650niPLgOHlcpk0 +tEzzWpNGKgOCVKOzHT7SSFPMjA2Z8gzYJybOTOmikZsyFg5nFBmwYmPA+MdO +Gpk5c3TxJhUG+C3r2qKJfnpsUlJajQGr1+pmeXdg/v74trZFnQFcxnH1knYa +sT31LC9rCQOkrQNKJtownuUFmeeW4e9tOeJk8n+3d4CpFgOk5tMWXWulkZPp +r47JrmLAd/OoP/wPNKKjbNbdps2Audvp/fPQ7QffWOeuY4DwUf5PuxYasZzU ++XNRjwFNTduVkptp5NnqRaztBgywOhVl8/E9jXB7R8bkNzLgy5B3hib68MfZ +CZ+MGZDb3yPl04T5Xgc3Szcz4OfYaNTzdzRSMvFrV6gZA6pSbyz520gjdirH +T+3axgCD0Ef1ZuiKvfFDqtsZsGy9flLkWxpJfbBqpHcnA7ycjfzqGmhk4Pq2 +r1XWGP/U/JMK6LKPDslRexhwJOmav1M9jegaRz9xsGXAx4kXKVlvaISnctdb +054Bjz3Nm/vqMP/UD64cd2DA/QcLVumh6zPmLWc7MuDllk3xga9xfexKpTgn +BjzBU5VZSyN9+69ucT3KgG08g0JJ9Lm06mxdVwaELBQ7YlNDI0x+i66YB8bz +/cSy+yIaOX72dmq9JwO0X1BmfRTSCPVZTvfDkww4f83itxb6ruLNztM+DPgs +cVv8rIBG3ix8V21ylgELZL9qVfIx/8vCImV9GSB+aqvrDLTK1fqTnX4MuDOW +9nwnj0YOJkoW5gcwYG3wmGosl0ZWXZ6MuXSJAQEfN6Z84GD/UHQzsw5lwPZp +J3Q10FnPxTPVrjIg8kVg50k21ssZ9339Yfj9g8czn7Mwn4vatlZHMGAsekXI +PyaNKLt6W8VEMUAnsOK0Jbqg5fMDpxgGbMqZ63+bQSPZ5WqR2ncYsHLWksRm +Oo1o2t1Km4xlgMX1wZrF6CbFstl18Zgvi72VTxJ8HtZ3NyWJgfV379JzoJFA +UK84lYzxSXb++e8VjZharj+6+SHmqx8nfDt6+hr9INlHDEj0YmjffUkjRzwu +1ndkMuBViFXfh2oauXGP0VCczQDFV4fJUjSjFy5dfcqARXqDT32qsB7/efna +5mO8h3/lVlTi+zKDcjUKGZAq7ccUQ7PiBOVjxQxwSXL+YV1BI291KJvYzxnw +sDhPP/EFjcxyaJ6X8IIBu3z33/5YTiNju+T+eFQxwHb6gemr0cf1lJ5teIX1 +5/80wq8M+8uCEy5SdAa0zdy2jPGcRj7cGVnWwmRAqXBRizQ6b/yGUz6HATd+ +G2buL8Xz4Jv44hA+A4rI9WuPSmhEy7ktc5cIn++ZHthfTCM7A4Ot1F8zYGfH +o/AN6DXEI3bkDQOcs1yfXi3CfF+4ZybrLfab9s2fagv/vx5WbHwTAzR5q3WU +0c9d7vp4tDDgdubyBLcCGjE0nL7LsI0BH8qXUYue4e/NjfOQ6mTAxR0aGX/z +cX1TDtdaPzIgJUNp53b0vQ2q/gXdDHhKmyZxLw/7U2lbamgPAya/1TV35GI/ +DGdP2vQyoNA/jLESndn8edHyAewvSgp0v6f43N3u5sQQA5YvCmlkPqGR/R2F +64QjDDAaKJuahz7om7AwZZwBtI7yzYdyaGTH1543p38xgG4XGJeTTSPyFUOZ +Zn8ZoF7+e9rYYxrhzPIslJ9iQMeJNVe2oGkL+zb0TGfCiw9UpZgsXG/Ht5sV +M5lg6ZfKbsmkEY9cMaVoCSa05gvDl6MlF4bKOUsyYWQ41vl8Bp4fAUsu68kw +gVk9ZEV/RCM15lN6s2SZYHLtw+65aGZkiU8zlQmX2NbHHdOx/6w9rJkvz4RN +U6bxOWk0kuwephiqyIQtJc+axx5ifJ/qd9ioMGHI7baOOfqK8NGnpWpMyE3t +SLudSiOrB87I/1ZnwrOvcRrtKTTyY9nk1polTLy/5r1ciQ5MUpr/cBkTNLpU +T/onY/+aPt51TosJyqUf13Af0Iiew+Vwi1X4fa2js+XR+VOBciprmMD9Yf3T +5T6N8LOz1w6sY0LVra+/C5NoZEvizOMMPSYM21bRphJphB7S0pVgwIS/7Ywt +1ui1b75GeG3E733789qDBDyfjK67bt7EhPZm27Zv8TTi2XltiGLKhLbEup0b +0Cnrx992mzGhstqj5noc1ov7hx3V2/B7R6hujfdwvzjGu25tx+eDQooGeuH6 +ykuu/zGh61h0w9lYrFedRY/X72KCjMSup/S7NJIkrekltZcJj+9KxsuiJ9qK +zTptmZDCqIp3voPxyeixK7Vnwls7x7xnt7Efvn7/OuIAE4Qyn95N3sL5Q0z6 ++uFDTIh+ZjXfGv16KW+brjMTFkzdOZEcQyPhB0JXzHHB7+flNfTexPNS5b1q +qysTTryP32uE/qZ5eneRBxPs/+74fCOaRtLllq+NOMGE3eIkqiUK55/R7f0H +vZmQLRi2XIHWfDqSpnOaCevUWxUDbuA8trcrUuIcEyI6ff/xI2nEx77C64Mv +E959rZhQQscrxnALLzJBUf6RxIkIGjk1LbotLJAJD3dorqwMpxHvhSMdjsFM +iPG0OCaJ/u9q7KN1lzEfHccLDl7H72POnCF+jQnuc3QouWE0cmdz9aHW60wI +dhq5/ucazou9QsfiSCak7tCjWKF1gnPDw6OZMK16oCD5Kp43PxpnO99igtGT +Bcf6r9DI921Xh3TuMuGlxIsVJugUd71yyTgmhNZVit+6jPPAPfvzHQmYj//U +fnaE0khlWcn9svtM+HO7/c9atPXSkt9RKUw4Ez4idyWERv5FHnBxSWNCZPd+ +s4ZgGnmw/2asYQYTmgtnXdNAN/rkDMk8ZkLxj/Fm30s0kiibJvycwwTxkqVb +uUF4ngpWzH2Zy4TpM6IZiujiNdlpd55hvQwssTsRSCPBk9FaJ4qY4BL19U9V +AI1cOsHWNS3Fv++vK5NBl22FD/PLmUBd2RLm7E8j0f3qgoEKJsQ7Tx4vukgj +l9tkdzGrmSB4rHdEDB10yWbtA2ACf2GAl50fjTjOcLh+lsGEiV7ujewLNJJj +JtTfwWbC/jWKr3750kjvhfK+hTwmaMu6zbJCPzxavGNCwATX8pwjqedpxGtx +/OHXNUzw3NP2eugcjcTGha/MqmPCt9mTNubogEVN64IbmLCZMuN73FlczwFd +G7t3TKAkf7nXcwbXw8+QXdXMhCftmbZGaO2KKjWxViYEyRosizlNI8s8g0ta +25mQ6ZUg3eWD9Riv+6y4iwlPVxFxPTQv/kNh1Gcm2N3NlQs/hefj0t3/HfvK +BIl22/Ut3ljvNfvnb/zOhEDbEq/V6CXbR51o/bi/G1iloSdpZGTeqZO9g5iP +70Ipb71oRJ9FfcMYZgLH79Pl5eiZfxLlk8dwPzy/zAo8gfPekZ6FZyeYMPnn +akqtJ/aru+LHd/5hQl1o2fbFaCv5/ByNf0yotrooceE4nv+5j8b/TmPB5TJm +M98D81e/4u1bMRY4K8SCKvq+j8z3fHEWzBB2vjjjjvmxgj0cNocF+muy2Ww3 +Gql2VJnjLM2CI5md3UpoWoVt8vp5LJh/M1zplCu+X18nWZbKggu74o8wjuG8 +2fP5yDc5FjzZLVE1H/3yw7g+XQH//vdbTS8XGhFzOngqSZkFRZW/nsBRnC+3 +inzPq7IA/vmYyKH5zcd8rNRZYG6g8+X4ERp5N/uC3tIlLFjUtDH9pTOeD4+z +rf8tZcFD22s+VPTahY/imjRZsF5jzl4PJ8xXr4OkcCULqhnMbdWHcX06V+5F +abPgdO4zawpa5P2mynUdC64fYh13P0Qjy8sk9TbrsUBkPxVf5YjzWJe1oaIB +CwxVD76XRYOK+eshQ/xe/der3A9ivSaVJAmMWVC59MC9qgM4z2QdGMjazIJ5 +/sNzKehui6WrQ8xYoFQVl+zugP2t6+PDA9tYMOm/aVP1fszX2UfVdLazwMHi +8xAFrbk8Q1L6Pxb0FF8r97DH+r/bOdVtzQLWPqU7L+1oxDwo/wzZw4K/jORL +NPS5QAuZB7YsUE2Yc8lzH40sOtPKOG/Pgs6TB2+BLY08dul8tPsACygfI0vl +0Za+GsErDrGgIf5un5cNzp+FV6pmOrMgbrWPAWMv3idjNgV0HsXv2akcp4h+ +uHXj1wpXXO+9mFk+e3D/rHXS4zxY4P2cE8HejfmXntXtc4IFw/Yv1RagXWDx +5E5vXN8yb+7ZXTRC2n+kaJxmwY+3dVf41jTi5pqYN3WWBZHUT3vU0S/V200/ ++LIgMDZ1nZ8V3qf4n78+v8iCdzL/NGr/w/vphJbz3UAW8Az/rliK9v2pu8k7 +mAWhb2LNg3bSiIIk773lZdy/O3CqYQeNUAb8ehZfY8GpDQF5K9AmfL2ayess +kAp/9ffydnzf9+WjLZG4H6bhzs2WuH6fm0/LolnwQvP127Xojux7PrdvsWDu +7DuHIixoJKz8tJ33XRbYZHPHO7Zhvh5SUNgeh/vzxjvDAN2z/rKbRiILDtsF +u9zaivNW3KKYqfss2D99VPerOY1Ezq558CGFBf7ZfIXN6Ou+fd3laSxIU/kt +k2CG9Ve8vz02A/NNN3T+4BacL04GT/g8ZkEX136dJZrr9uD7f09wPcUXnR6a +4n0sneKmlceCm7WdKT8343zlNXltZgELwv9EDu5G+1mk53QWseCEko9tjgmN +PFGp9X9VyoJnklH8aWiXKROVB+UseFryfu+BTTQiLmbhf6ES6/2PTV+RMd6/ +npYU2r5kwS7+aKIkOk+uemQtQc+p2H/MiEbqNv3C8YwFt7Lva1ZvpJHmPYT1 +jc2Cr3fvScmjY2yOreTyWKBdnT7tlCGNSJvmOGUIsV7nv5TgbqAR5zSZ06G1 +LMiJ61JXR4eeOGB6+A0LstZJWvkbYPwPGTRufIv782ldZP16Gnn0eqW3YhPm +Q6bt+5XoMB2bdWPNLGg8d8IwTJ9Gao3MUupbWaC5+0xeux6NtPVatBd2sCDV +4Ni6DWj3+41KMR+xf6w14t3Rxf061bP+RDcLaCajp3t1sD7us6O297BA8Xjk +ym1o30taPst6WTjfjv1MXYfx+v1z2cwBfP96vXcTa2nkz5BbV9cQC3SHN3Ns +0NqH/r6GERbM+U3j5a3B9+VLW6aMY3yccj+Io4WzzkwP/MWCfJ3p049q4/2s +Jjf04F/8+yjZDVWracRY9cvNDVMsqAl+GyqPviw5fmj+DDZsW7b9g88qGhkW +89o+OpMNu5PdLQUraWRyR/D2egk2XJxcwdZAl1o8LCuUZIPn8dv7Qlbgea8Y +fC9Ghg2pk3fGmrXwe7LHDp6SZcOFjhU5eug7Fhe6rWhscNOxP3lLE8+LdOuF +K+ezQbBgntn35Xjfyzdwm6PEBuDs0dqGDrGMm9ajwobgg/MXpy1D//fnJ0eN +DdSZjqv+LMX6KzyW/3gRG+78UNpuj3bd6+QUpsGGlza7fIs08PlE/UXX5Ww4 +cWCkRBqtH1yXZL4CbThz5vElNPLx8Une4tVsWKYZ5MZcjOe/8t6H09eyQfew +/Xs19OqQmJedOmwYocQcClhEIwP7FvgSfTa8uKw23KiO79P4nZG6gQ1h32Yk +rUM3GyeYhhix4VTE+r03F+L5POfCVScT9v///2Plb2r4/MoDKZMtbFhw5uLY +VnRmz/rNalvZsMbsUleaKt4vf/X0/7Vgw+oDr9r/LsD9FVdgt+1gQ8C/9f0O +aP6CyI3VVmzQCPoo/VyFRsovtS5O2c0GO7XqTRT0YUPr+iAbXK8OhHgr4zxU +3x1xyI4Nj+d8recrYX5/iWVvcmCD0qi2wTK0/d373Qsc2VC17W7eFUXs94rz +Xv89zIZCW2ndDgUa2d4u599+hA1qvokCI/TpBaYPXh5jw9gMnXOJ82nklrrK +glR3NtTvf7tqTB7vFxMsXognG2zrAn7uRTfIucs4n2QDXaDe8EwO768Fu1+Z ++rDhWDYdpNCGh9Qy1M+yQZbn8PI4DeNxZ7h6hi/u5+0uIZtKIwfeukd+8mPD +Tff9vYvRa9V+c5kBbNhU9FwllEIjnYE33mZeYsOH5p+H2mQxv/3uvA4LZcPe +/5QKNqK75zTN97jKBvez8tTEeVjvN2xaLK+zIeTl17Cxubgf3k1WmpFsGE6O +krRF/9uw5vqcaDY0XPn7sFAG77eSwgt9MWx4/1HfYi7a8XSjbs0dNjzR0Z30 +kqYRFVPO/Gf32BD3bZDFl8L7vePFplsJbGCEeqQsR/sqpVidvc+GP2fjrodJ +Yn7fFj22TWFDi7Fv6Kc5eB+IurxHLw3jd2hG1Bb03PPPXRQy8PdsNjx+OBvv +AyuWnvqVxYbGNGr9pATWX+/mxJYcNjgIouceQte/8iqvzsV83/fIsVKcRo7O +H7JKfcaGUc6uCkX0uukqU6FFbKh7cnO53yysb5a/6rFSNrwLP/i4cSaNTPsr +tNtWzgbV/kJ9PXR9ke/P5ZVsyPaIbrwrhvuvvOD0nJdYb+E9YT9mYPwf5cr2 +ARvyWonFHvS00LTC1ww2hP6RVSyYjv0qSW9/MZsN3hff/pJBvyqqmorlsaH0 +m3jfyWk0sqZsloafkA33vmYMCKeoZK2vr9PBWjZ8kcqevhL99f1e7U1vsB6G +pZbe+EclPfz76upv2XDLoNbh2ySVzAxTujSjiQ2/Ar4lb0cPe5k9+9zMBunD +B35k/6WSSYZrAq+VDd0hSvYS6FWU/Eu5HdivwpcK3f+gpygQ8xHzQcl/D+c3 +lYRldsWc7cZ6aZ33ZSm6y+VTm10PG3oCuqPCflFJ4ERLiWEvG76mjG3pnqCS +lK3bli8YYIPpsNHsbeiHqa0hU0NseLS0tD3zJ5WsZFENP42wIffrAfZM9Dy5 +i5WccYzPN81q13EqsZDYZ5T7iw1S7QuYrDEqsVbynYj5y4Yo/3UtGuitDwPa +zk6xQfOsy/SwUSq5KvYu234GB/JDcjd0j1DJWLuz58ZZHNjnODt0G1pHOeqg +2mwOqJHzTVnD+Ps7VxWKSXEg4USfiTg6Zkqq/osMB+SVvMrcf1CJct2vx0JZ +DmyJ6tvEHaISl8OM/QU0Djy8crJxOfrF3lGVe/M5oMn4EhQxSCV7p1Vb+Ctx +IHbufr1vA1Ri9GAy9/ACDlC1K/7sQLdy98hvWciB2z2zG572U0kUb2vL0sUc +OC5hVimFTk+NyZBayoFCuyNFJ/twvybCtg4t54BsmvOLml4q2Wx06+zbFfh9 +pUavtdE3PIyOVazmgP2xobFb36nk3MyuhalrOeB7yX/Vj29Ukp2gw7iqywGp +d/VnbdDnvoqijq/nQOCWCV5JD5V8WmaVssuQA+Nx3dry6PiXSYO6xhzYmBuf +eeErlUjOHcxS3IzvPyix4v0XKgnpyPg4uYUDusG6YIhe3RUo9WkrB5aNzHd9 +0E0lv3+2XORbYjwS8hUnP1PJLJ0++Wc7ORC9Y6TVCR0yHNgfa80B795PheQT +lZxKcruNmQVuzoH3FqMhMX7WEVsOXIh8Hn7tI5X0GZf92WrPAevdMTe+dFFJ +Z3zj9lUHOCCXOD1lOzp7m+1C6iEOJFtJwdNOjHfn0yMTThyYtM8ekkYf3+T7 +su0oB5Qy3qzz6aCS1IJ4DtOVA0Zq16+8aaeSV9mZr596cGBpOfmoi/ZKudp3 +6wQHNjhdsolvw3orpi/w8+aA56wXbyZa8XsVuvYfPs2Bbw9PHnFEl6YbXzY/ +x4HcxQn/Xn6gEqG97VutCxzQv6abp46+ax1YL+uP76ve5Hm1hUpG7+9eNhGI +z1lF+l+a8fmRipK2YA5IJ0RRdqCf0S9dZV/G5+u4f3PfU4lJjeq73Gu4n7eP +/JyL3vD7i1lsOAfWldpOP9tEJU8vLC0PuMEB95Rk5cZ3VDJYPVR/5Cbu3y4D +8w3oK6VWzyxvcyBVsDDwQSOVHMufGtSO5UCLgg3j31sqKZoXlTQ/ngM8Y4Gi +C1ryXn/RZCIHbmy5FsxuwOc7BZ8/P+BA75qgEU10dGufVU0qxov2zC+6nkpU +rH9cKk3ngOCnvNTQGyoJ5m+IT87kwO/egnxbdJW3a+nVbA44TPk5l9dRiXF3 +tfLJpxz4bnZCXQXd7j7vl20+B9T5V4aCX2M+i+lMbizkwNesl68/1lKJW8E7 +5yUlHKgemP/KAr11fCZfsowDuypvVD2t+X99TH4eeYHrU5fnzUUf+yM79qGK +A7bGxZ/OinA/O2+ps15xIG+509wmIZWcMW/l5dIx/6fkthuhXzV+rIhlcaC2 +q/72QwHWX8eeoSAuB8QHYnvE0H0kJ8pVwIG/W/ftPs6nEsuKtQd31WA9zZFl +i3hUsucvLXZ9Ha73MHPHOnTnzqwqtQas7+Mn2uK4VFJ4UPm5xDuM/+7pob85 +GJ+Gm25D7zmgYnRtnTP6lDZvR/MHrKd9gz+YbNzvtlwjRjsHmGwTuiba71zf +o9wuzLeqUw9vsqjEfY1ef+xnDvznGhg9zKSSffKKy4K/cqCq/0jEfnTdoQ/e +Ht858CRCJbaaQSX/1UqV7+7nQJN7dt4i9IhwocBwiAP7q6Y1XqdTiW0QzWrJ +CMancol0H6GS8hlmNVLjHGi4L22zF33734N3YxPYD2PLH5cBlcynzPnb/ocD +Ux/UJReglQbmSPH/4d8XbA26/Ar7t42vXPF0LqTvWDj55SWV2A9ymh7M5ELA +l7xoK/Texd+br0tw4QLr24riaqxXi881PpJcWLCkvkkBPRWfPf2gDBf2m7vE +XqrC+E2bW2Uuy4W9HvGHP1VSyaF7S3pX07iQX39i/Q50UW72UsX5XDgr+KBa +UIH5Ocy7PEOJC7X3umny6MYQ2S39KlwI87+mGPiCSi4FNw++U+NCCr10ZVc5 +lXxrKLlCX8QFh/Kz1pboOn2ucp4GF/weV17KL6OSD87Bj+KXc0GpNaKahj5x +dRHr8gouXHzcPCfgOZUYhlgHnlzNBSe7J26dpVQStNuWbr+WC+8MR19boD8n +zsow0+XCzsdl2/NLqGRd+zT+qvVcODzQ95qG7vwx9EnBkAsKHrFuAcXYX579 +ThMz5kKv++M5XUVYv9rfPQdM8P3bFldboitKm6veb+FCsKPYpWeFeH6NUv4y +t3IhTczCSr7w//WQEVFgyYVjSV+0ggqo5PKfrU4PdnIh279L/tMzKgloiP1+ +3ZoLj2foyu5Em0lo6Jzdw4W/sU2KRfm4/1sfqh+25cK5GOEaRfTKpZc9d9hz +YeU+KbuQPCrRUn7ton+AC0nbYyO+5OL8MVt61aJDGN86Z4E1emCNt4y0Mxc6 +93orP3+K/T597vKJo1wQ03txcQF6j7qi5WdXLiR3GHdffYLnn2fx8GsPLvi+ ++uncm4P9Qsz9VvUJLrw06u6xQXt3T/bneHNhlDk9tDKbShL7nB/FnebCJ9aO +pYvRtdZT/ZfPccE1v+J95GMq+a6Q4uF9gQvd/db3f2RRSSh8un/AnwvtP2ec +OPB/5yvoWwRxYZFJoyU9k0r21z1S1A3BfNGj62qhpyx9qOpXuLB9L3P1nQyM +z9K6Rukw3B/J9/q/HlHJrgNaF36Fc0G56c9/R9ETTVcyv9zgwr11K0/z06lk +zWRjZMNNLjBiXR6tQ0dZVu0ktzG//FM/JqVRyUXj/a/zYrmwzvnD2hnoowsl +Ft6P50IEU/7miYc4T9Q/KQ9Pwvgu3fmzPhXP6wGD8fPJXJAT9/UxQl+3uqrl +8pALfV/ujmWkUEmmIit51yNc339pkdJoxYiOQeMsLvwuS1rpm0wli59LRa/I +4YJmYeCHtgdU0jBSsEYxlwuXX5olWaC1bP0bZj7jwjf3XteC+/j9TwefDRdy +4YX+WRNF9J1wv8VdJbg/pQ1LLydRyYE7zE21ZVwoPiWt8j0R86PM+GF1BRfO +/1BUs0WvSLh/+mk1F5oFY9rVCVQi+JYynABcsLnx0Hppwv/nR6831xlcsCbU +gJh4KjE/mVN/ns2FR//+K/0ZRyUFUxaXXXhc8Hxv+fcImp/1xGOvkAtZXTNs +BPeo5OaObHXTWi40Ffg/10UvIs03V7/B/G7OWZYSi+fRdZU+lbdcYI9HZ4mj +j4fNSJdq4oJZ2mKd03exH+z0K/vVzIUDp91FzXeoxP9d4reeVuwvM+zOm6Pd +jx+/3NSB7x/+rpV/m0o0bfed4HzE3+/Q6J+PPl7sd6y0mwtCj6mXobeopCxU +/ktGDxe2rPRL/h6D/TTac1psL/Y3YUTEPnSiwVW1KwNcGPq+9sqrm1TS4in4 +78wPLpivPhmpie5JuXPryCjmh4FB6t1o3M/MObN2/+TCxoIY8jeKiveNKOXN +v7mwwthnyB3tP7ssV3sS43O9cfWbG1Qi961MQm0aD+f9VxeN0G0yw5YyYjxw ++r30TVYkxm91j+TkLB4kBMwxkEXnwP3Svtk8sHVzexoQQSULvD61t0rxoOL4 ++pXd4VSSIZx7SzSXBxv0/Ct2o/fN6nlXReHB6osr7Cqv49+PhDfmyvFg+xeL +fxroeuaeHckKPDi3Tlh6KwzvA5VauGK0TOnF39eoxKDl5kSgKg/81vzb4YY2 +d2jNO6nOg3Lrx5p1V9HbbpodXsKD9IVP5IzQZ6wa8q2X8eDRYbG5j69QCXWd +/flNWjxwpxfJUdDV+97N0V7Fg4ZZRZpBl6nE9DQ3Tm0ND55/mdzxNRTvKzse +rZinwwP1RXEXbdBkl2jvNH0e7D93rvRlCM6jpWZZQwY8uJkcN6mJruxh23dt +5IHJ4Qnbe8G43y3HlBo28YDql1g+dQn7vf5ed6YpD27kndX0Qt/XspEqNUfT +rz5+F0QlO/6kZmdZ8OBfAG+dGboyb656wg4ejKRuEuQH4jxyea1nhBUPQkY7 +fJTQ/l0ZNv67efDdPG9xWADmj0TlIi8bHiTaP/w45I/nGfPHM0c7HoyNPy84 +hKYcrAqxduBB/FBfJO8ilUTGKM/d7MgDA9ktZ/TQCvsWOax14kHqkgK3ND+c +d3q3Sy0+iv/+l66HNLrj0QsFOVceLHUR+V68gL+3+MAicQ8enNL2vfPZl0rm +7Grr/OnJg0trV1buQfdb5X//dpIHWUa9g9Xncb5++uRYqw8PNmkU62ihRdc/ +BNee5UE1BF2JO0clMlW3NIkvD2I+W3ZMR99p2XOy+CIPHE/I7jh1Fu+X6zO4 +mYE86NBqgJYzVLK9WmJvQjDu/99oc0v0rytu2ZGXefD+5ca3Jaep5Ke210jg +NR6s2NF8Rh1dP5pTcSqcB0mBbgtu+lCJw4uY6qM3eGCo29rw6xSejwuOCW1v +ondvTHRHf9NcMmlxG/OhIMizwZtKtnwVSW2M5cEv/TRLUzQ1JsNyVTyuj5Wu +k38S55GoGNOFSTzYYRK8Qhn9yJ11gprMA+UInTXhXlQisW7JjVkPeXAovMp0 +9ASVfKk6nTyRzoO8xfOdj6JH6tr+9WbyIGLL5hu1nnj+rWu16cjmQalIl2GE +znuu97H+KQ9a8ofEnxzH+S5EbDsnH/36rMN8dPplz+KKQh4cUCsvu+pBJb2d +R7XyS7C+rlcu+uGO/VzcmJVWhvUw5p/khC6g2Orfq+CBjuOwqsiNSsQONh+I +qOaBWLZ6gSFa4/x5vSDggZpgunW2K/aT/35tO83gQXLZ3Z9y6AUa0RqubB6c +da57duUYztveG6f28zD+L8rPDrng/pkE3bYSYj6XbzN3Qk9/OPx5cy0Phmz8 +1EVHcf+PxVfoveHBZOgOyY3owR+Ji7Xe8sBuY8W0nCNUkna1datqEw+sLjLF +5qMHHb6HUlp4MEvfjXbNGc/bF7PsxdswH7werBl2opIaz9Phvzt4oKd0zOEI ++q4Cc9ngRx6Ybqy4WXuYSn5MRm/53M0Dt5r7r43RZ5Zxit/38ECqfqZa7iHM +34x3s2t7sd9sH72ohC41NjBlDOBzHffOcEcqsZg5JP3iBw+M7+zfN34Q5+l2 +0eu8UR7s8WS/dUV/91zWkP4T+9+rvKMNB/B+McvNLuE3DxrjJf9sQbfOHUyM +nuSBysSHtEIHvJ/OMjW8PI0PnG+qtgvRb5IY5n5ifNh1voYSsx/vi7MflZ0U +58Oy9K+tf+1xPvme+/zoHD5cDvAs9fq/x0OW7ZfmwxupPYktdrheV2aT1Tw+ +HDuaGLEDfeNB8EpzKh9KIzaHvdiH8yzLQMNQng9tt8xilqOty/JrtRX5mB+p +GfG2VJJQfsVAQ4UP1kF72LPQj+QfJymr8UHiqt3IeRvsd057t8su4kNj3tPV +n/fi/AxPAsQ1+PBB2vq8LTqgPyz27zI+nCg35DL2UEnK+rHOYS0+XKd7L9NB +rywMkPm2Cte35cud9N04Hy5Zkd+xhg9au9LmUHb/v18ZRr3T4UPLVOLN0F1U +Qp/PfCjS58M1nxrVIWvsh78D3jI38MG0fGOlM7r+ssajSiM+fPrR5vLaCvtj +f8CaIhM++BqVKmxGD9F5v7O38KG9sPL9s/+o5NOM7M2pW9E+A1lq6KnTxiTO +kg8HEqxCYnbi75cf9IzeyYc5lvWu/3bg+2ef9bhqzYeXD4PsT6E/GQUbBu7h +w1/G9n3t26lE9k166xlb/L0GXadd6Nlze8eP2/OBN7rx/CtLKlE1rD1/5AAf +nP9zjNdGuzT8k3E4xIfKv3dYqRY47/cNdO925oPZmtZ/c9EWXVEHLV344CBp +sC1kG5WEz7yYYuLGB+2yhwmDW7GenmyLXH+cD2KHaOPO6PP5jSWrvfigsOzW +kTpzKsli61UtPcUHl82yTabo2rTYEtUzfBhriD1QZIbzsveWS/Ln+SCUVehZ +ZPb/ee+h3lw/PtQsSbhydwven3fnNc0K4EO5EUVLDO0LtQOTQXzYF3HlwzlT +jO+LMLnxENy/jT1JnzfjPGKU/HTgCh/srm52tUPfvv7fiq9hfGDHhW3kmFBJ +TJrm444IPszPKl9ggA46VvGqKQrj2V0vmbMJv29eb2JdDB+6o9/OVELrGuf+ +493BeqirkLxhjPPyezqffg/3vydkwR8jrK/ZDasqE/hAldbYeBK99MKrkJL7 +fDhyPuNY20acfxqMtPNS+ODk+CdxF9o/wP+/rDQ+pP3RbAFDzPeoC2qpGXz4 +fFtr+Tp0FF1kl/AY92v/75BHG6hkY2SG2+0nfEi5mfiZhv5xT74jMo8Ptaen +24UZ4Py7FSSvFvAh01Tnzfh6zI8X5qlBxXzYu0nzwHF01AF11QvP+cDP7uxr +1sd6Eb5L8HnBh7kMh+j/0PYTm+d5VvFhxuubBi/1qETfzPeWyys+mFMvDWij +DeOvnj9E50N43ZKiNF0q2XBrs7k9iw/7d4eEUNGc9bZWe7h8UG6MPnBNh0re +6Y0q7xRgfT7ZsXl8HfaP9MEx8xrcf1rJ2uPohC7bL5vq+KB3mLO6ZS3Os9To +/Rsa+OBaF7reCp1YZ+Gm844P3PKOna/W4Pr8V35e1Yzxde48sRZdlOk+e3kr +H/qpofGPtKnEWE7ksaiDD/nq1TVy6NXaG2gLPvKh6N0d2fDVGI+7Ldvmd2N9 +Xvvn9GsVzmOVycqUHj5s85964YVWUnheJNWL8RG/q9a+Es+nP0cTxQf48DS4 +5NYedMx34jH9Bx/O6R6VZq7A/X2pPPFnhA+vLibe00e3B9zW+jnOB8kMe80c +Lcx/+lHj4V98OC2RxFVGj23aOND3lw8afw+dvalJJYenrBR6pviw+v1DzWno +/uP6zz7NEID7iNP3s8uxf/f/ftE+SwDejxPKu5dRya1/jj+aZwuga6flbQe0 +zbO5YY1SAlhh5HVeuBT7mYzTSN1cAVyrn+Zqgn6kEUJEFAFIec9yLtKgkuVH +1qvx5ATA9rjgpoH+/UBiLktBAIHqe/0SluD9aN3Ba6AsAMHY3XuSaBPji4+r +VAVgaGn48tJiKpHeRjzL1QWwwXfLj6FFGI/lUn4lSwTwpjNnrSs668r4oYJl +ApDrOxnYpI75s+llQa6WAH78uvFmJ3pasSA4e5UAFp6apvtqIfb/rxmQsUYA +8/IFD9ehfSkrN6XpCEB7wVeFLDUqmflb+16yvgC4i2wfKKJPrHRak7QB168h +vSJaFeetLy9T4owEMPfmPNbUAnz/zPXz75oI4CjzoOc59EG3gcyYLQKwXder +9FUF//7m17yorQJQ3fKq8SB6cOyidYSlAGY4vUmuVcZ5SjxALGynAOaMLvIx +Q0ddDqdcsRbAT598qzIlPL8LLv0J3iOAgM1n9Feglc/EiQfZCkDhzQmtVEU8 +vy6dpvrbC2AqNkGTin5QZXr1wgH8/YlRnesKOG+bq704d0gAij6h23/Px/Xa +xv867SyAbk8Dz1NoOGZ37ZSLAFwcFeI+ymM90dWJl5sA3pepiuzRi2Yl+Xoe +F8DNIcu5Qjmc/7VD+ty9BHD4UqzjZvSnWb1vXU/h+xsmS0poeH/ftPioyxkB +nDx+TUET/V5lq+GR8wJIL9W4nkzF9UVM6Tv5CWBsTeuULPrxNk+VQwEC8LLN +uRZGwfnfwVvl4CUBtCVel/sti/N1QrSHQyjGP+B8wSk0vVHb2P6qAFLP+9h9 +mkclcwvmFu27LoCsGb7iDmjj+gMNNpECqEy/whDNxf5l76CyN1oAxa/jIreg +b2S1s3bfEsBqqTzHMhmM54ak3bvuCuB6A2PDSrTMgSv3reIE8DanST1NGvP1 +4/09/yUKYL50D00ebWP/cMnOBwKghfyg3JCiknlLgLU9VQBG134oT0liftz8 +km+ZLoCvqd3a59FTUysrLTIxf22F1t/mYH9wFL7cli2A0aVpfk7oQxFbQ7c+ +FUBN8tG8htk4f67enWueLwALE5m+7WgHU2Vl80IB+N5JW/9KAvufr9xqsxIB +OKspReui7V90JG4pE4DI+3xfjjiVPO8788q0QgAH5hTuV0Ofyf5sa1qN3xvI +r4mdRSXqLZ5dmwHft+vVrjnoDuPw/zYzBECdF90SPBPve3s5WpvZAojesfbM +qBjW29aTdBOeAPZF5VBPoOe2HrlkIhTALZfhVx0z8HzavSvHpBbr1Unqgh06 +PHRjsMkb7BcyPwyE03H+WWidYfJWAJQZ6TO3oC3jMyJNmgQgIVJsLZtGJRFZ +3g0mLQJImbR7tQo98Kqz2KRNAMla9rmPpijkkdzU/s2dArjxaX6GItpea47v +5k8CyIS4rJh/FLLs9oii6RcBtNjUFc9En/GOsjT9hvmlwxIETFLIJ93Ts7b0 +4f6On+of+ksht37WP9syKIAXerXKHmg527qzZsMCiA/rsGn7QyEFR6t+m40J +oPNyWpwt+sZJRZ75hACWM+d+4v+mkKQLzK6tf7AePi03MkXTVRM42/4JQCv4 +W0rZLwopGVjz2WK6EIj2XqnV6FmS93mWM4WQe+fQ1YwJCrHacHFiu4QQNm+d +I66MPvX6vdVOSSFc+rwv9vZPClFYsCHtPxkh/JLdtFICPW4s3m4lKwRDT6i5 +NE4hXMmNZ3bRhHDuZnPA6BiFdDq69+2eL4QQtUgdLzRVxq9kr5IQpF4JR7tG +8d/3/lxuuwDfP/ch3QGdUTE8226hEKaVTEt6PUIh+a4fOuwXC2Hn7oEAC/Qm +9emxDkuFIBPh5vFymEIa6D+qDmoK4c4MVyc99Ght77VDK4XQ4vrVOfcHhahv ++VzqpC2ETLt+r8XohsDn74+sE4Jv0LkrSUMU0hi57quLnhASLvtlyKI1fmn5 +uRkIoVbmZ234IIWkHFue7LFRCO8FgzOnBijk9EGe/IlNQlA75rztAlriSk3k +SVMhpF82v93fTyEqkcbzfMyFYFyf1O2KpinpxZ6xEMLZ6Ue2tfZRiFqgk8P5 +HUK4Vx1bYIuuHcyW9LPC+BTpaAh7KSRBnjLmv1sIH2M2ZpihDca//AyyEYL+ +zCerKr/j90UfngqxE8JpeiBZh9485tt+xUEIF/wKnZ58o5Dld1+NhDkKQdC0 +VWIR2m6nn1KkkxDi7q2vTOzB3zu99G70USGIjlz1k0VvLpnVdctVCBpDmpsj +vlKIvH2XVawHPh/XoExDe568JYw/IYRvWr79fl8o5OH+x1NJ3kJYt1nh7WA3 +hdg88e5MOS2EJf2z2R7oolUfrdLP4d9/tyQdnynkleHzWVkXhDBz6A17P7qQ +I1Of4y+EM88zG19/ohDWGf2RvCAhLB99OWiJHlF9klMYgnZXkSMfKSTk6q6n +pVeEMJ9TabYBveZrM/NFmBDMXycFFnZRyBWlOW3VEUJI21T2ShOdKOim0aNw +vTUy0umdmF/GE37sGCFEb0o9poRuzD1dy78jhLCdbuw7HRRSscbBuPaeEDJK +jqyTRPf2nf9WnyAE+w0x2VfaKSQiw8Wq6b4QXif2Lv/TRiE3X7hKtaZg/cRd +KD6HHtfn1XamCQGGVln2teL3s+7v7M4Qwh8v6S+u6P0zNzt9fyyErQLqrbYP +FLLYaLHD4BMhLHu9ycwevUOrmzqaJ4R2k6ip2hasT9qto78KhODYPsGxRJud +X6n/r1gIiueuJZJmjL/nGi+xMiF4MFeeN0RfXZLeP7tCCEbxfQeK31MIz/E0 +dW61EOaUsHasRIf6HA6kgRB0PxaZZzZRiOujm2pKDCEU9BVZqqIn38Vkq7GF +8PcBwy7+HT7PztHQ4AnhZGWX9zz0xyQ9vpZQCLNoMrcjGikkKHz9gzW1QjA7 +Y1Y9HW3b76Ov/0YIwekhwwFvsT/VwyKjt7gfpxk6ow2YfwsLd25pEoJt3uxL +3uiNOqxZli1CYC3e8+ZLPYX0WUdqW7cJoe9R/Joj6IGjB4NsO4Xg9bc5ofkN +heTdSC898EkInlMKkrbo+KB3752/YLyCdl0X1VGIecH2Y+7fhLDXIlDaAr1x +vPDzyT7sD9rJyfCaQpIrxzadG8T9Ey9Yb4j+fDuG5T8sBIPMopbiWgrx1zqY +GTqG/aAlPWIVWuiuqx4+IQSr4Eumj2twv5OkaTF/sB+6mc1QR1dFmUvE/RPC +KbeBmiQRhdzmh7IfTBfBM7uQDBrajBtU8GimCBxkRq7cFGJ+j9iOPpEQQZSr +5UkJtIxwwdIiSRGI6wU4Xxbg+78paL6QEYG8XeShP3wKcUpWTQRZEUD62WO+ +aPUhxa8cmgiqR3XPD/IoRGyf8Z7a+SLYoCWM8USv9JF+0KgkAj2V9SWfuBTy +7luIZtsCEezNPtt1GP10S+H454UiePQ0WOk9h0ICu7uC+haLgCbm4GiDvvP1 +vNvoUhEsufX3sYiN+au3ROWvpgh+rz7x1wIttaJPfuYqEZhCqiOdRSEfeuNX +Sq8RgeuSRJYRerXDyBRNRwQXjPYZlDHx33efV1ugLwLJb3Ula9GBu+vsNDaI +4Nxc6Y25DAqZw9MrXGUkgnsxYoKl6KPqzpL6JiKYa/38WBqdQmaI7T2zaYsI ++lcvlFBB79L72b5tqwhmzd9cGkcoZOdzP7NdliJo+U71kkWH/Zw1Yb8Tv/du +4soooJBDI6q+ztYi0BqpGZuFvhnTbXp8jwhyRwv5oa8opN3eX/uMrQgagzdn +/3mJ672SOz/AXgQSAX4xF9CKfZrqVw+IIOS1fciPagq5dz7yS9QhEch4fvA/ +iVahHl8U5yyCP2vFgr9WYbxbrTaluojAhiqKckGvEq/zyHYTwcsJ3Yy2Sgph +5JHkwuMiCK7bwHJAe3B+G1R64b+//n6goQLPt/I2H+YpEXAkKEt2o42vfxsR +nRHBgFnnEcELCqn8PC/p3XkReC3bmrMNDWHF2zv9RBCTvvEXKaeQvTG3Nb8H +iGB3Jt3WGK25MJKMXBKBwsKm8vIy7A+buI8nQ0VAFfNfqosWvZkolbiG+WeW +lfzsOZ53P78XU8JFoFt7QHUF+omBb6bKDRHcuX8vO6sUz9sFL1qX3hRB3n1b +o0XoHN3i7jW3MZ6Me++TSyjk161jjhtjRWAhYR+iiF6juIdsjRdB/eG4NfeK +Mb4FS2i7k7Aeqvd8m4eu2wXHDySLwETpel5UEYUMHUme7/pQBGwvXX8J9NWj +v+NPPRLB/Vz73VcLKaRMzOiSf5YIlr7p154qoBA9pWHNazkiMGgcVwhEp9xq +XXwrF+NT5CP58xnWY83Qx6RnIvjkbC9+Dl1Ta/gxs0gEWz7kSA3mU4ijd/tg +QakImtXclL3Q3D2T06vKsT6XRep8zaOQeRribpxKEfQMUPcdQ9OFHvFvXoqg +4/y0kI5cCml7eIvVSkSwpmx3iSM6vbVhfw8T4130b6jpKX7PhPLrEY4IDrlK +bdiH7o145znFF8Hx1+ci6p5QiOmJHcOSNbhfw/ofrdD3PktEzq8Twc2a3dv4 +Ofh7t4LPLW4QwT4XKNqGHtRv09R+JwLv4ivLGdkUkjoeOWHYLAJFkvDYBM2S +qOna1ioCy5i/2lWPKeTFgtsqNh0iOKteQAzQ4qbJGk4fRVAQkO9YmkUhznsM +j5/oFkF8+tjUWrRpjtulCz0iOHw/LD8/E8//F0cnrvSK4PMJR9cV6M97dzvf +GsD1K/lqZGfgPPBoU/yDHxjfvLr+Jehrn9wX5IyK4OOqkyTtEZ7v/YtrS3+K +wC99W7Iq2kWuNoj+WwTraY6X76djf0yErbWT2D+invoooJkvM2gfptVAE03H +414ahUyL9v/+VawGXpcNelDQ8bNbmaPiNbAlpOtMzEP8PmHe1+mSNVB6cVaY +FHqGyxupeTI1sKngQHpEKvan/W83LpCtAcc1rZxZ6DaNsv+0aDXgIB41diUF +5/XVxXnr59fA4BbX1dPQI5LUGVuVasBpyO3UpWQKmf+p3XHvghq4px7z4vcD +CrmgM/DLaWENjHW1SF1E/4+i+46n8o0CAN5AZNx7ycjeIiMlq0VIKXtnpEgo +GlSyKxmVhFBCJZHKjgidN1u6+940NKwoRUsh8Tu/P7+fe+/7PuM855xHfzS7 +T/3EIWUqpFvaBE3lYX97IM09So0KLzxeU4+hXQeVmMmrqPBNL3Xjt2sU4nrY +p7zs1fj9Ny4PQ9GMftEzt3VxvqEb1o9fpRCLbc9nVOtTIWvGFILQ/BbByWBA +Ba1MR6ePuRTiwu2OB1QjHN/O2Al/9G3R8x/fmFKh1qQ5ayCHQtTRuCs/b6KC +9jGhrXvQ40u5atNmVDBYfmimPxvzQ3BqHp8ljkfyVeNudL+Blpa4NRV4ahzP +vrxCIQzXfMtXsaFC2STb1Q0d8nQjea0tFRLHfPQ5WRTC8vPEEzMHKgw//Cru +hKaQ3MLsnalwP/T0UkYm9qfBctt83aigqC05a4t+dddqTagnFdYtL5/pzcB4 +o8XMRHtTwU3ZfIkNeqn0S8qFPVQoSGeKdV/G+8YJp8V5+6gQEeqtuw2d452p +XLafCnN97x3b0/E8vW6/2BBEhYFxz7it6LXHVCu7DlJhbWd3LXEJz4d0tmRf +GBUeJGr92Iz+7dB74uNRXG+rWJOWNApBwMji3xE4Pw1I3YB20A+P4I3E9bGZ +GGy8iPVj4f1y8WgqrKDyWxmjiVKrZtU4KlQwhKrqL1CIZ2TZQoPTVHh3fFpl +PTor+VuqZSJ+/13PzdrzmI8ffjzqkkyFgNXx6mvRf6U5FgHnqaCfIFFXlUoh +gqYd90WkUeHCQtouPTRfuualxMtUkKIOfSlPoRDrQzTKr2RRgSkkkaONtrp9 +abA4hwr7h5S330+mEC0W3w/XXaPCzHH+pVroCbk3LR35VNj1ub3zbhKF4Hnq +s/bFDSqEB7plaaB3PNBs/FhEBR1KU1DJOQqhMPPV9c8dKrymfN+mhjav9pTn +L6MC5fJvneJEnK/T4KjUAypseNgjp4K+o8m9qllJBdXSIImis1i/+a7UmNZQ +YVUmU1IJPfjUOXpnHRUkbyxRvnkG87vM41LvBio4Tc8YKKBv5Gb1hDZhfHfX +ORSexv7SZ9lU3BMqjG0wOC6H3sHW0rv8lAopseFF+QkUItMq6fqtdnz+46Mv +ZdCjdqaDNV1UoMrrSF6PpxDfi+3D2p/h+Xp521cabTw5IvKCSgV7CU7FtTi8 +b7fn3B1lUKGNt3nZSrQxNcN1hk0FmReewVdjMb9B0pflfVQYr7/PlkSbey/p +ln1NBcuXldtyY/D3f726dd9SoTEkoFUCfVc8ptPsAxVMbnRty4nG/D6kUe00 +RIXg0j62OHrbtfD3AR+pcKguMzg7Ctc/K3b2xCcq1P39vUwc7cntD0z9QoWD +5Usqr5yiELK5tWnXJ6mgO1/ruwLdfn14WcUPPH/KApJXIrE/2ZCeRkxR4ZLt +opdi6CcjyUrsaSr8qsu9lXUS86WuccPIXyo8vkwNF0PLu/fvm56nAv+Km3ZZ +J7CfMklVEVxCg6MnhNeKoROE376U46WB1qSYfNZxfP+OucE1/DSorKsWFUOX +a7U+txCkgfqSEVJWBIWILDd/6SZCA0PhB+Ji6IDUrslgCg0+kXhVs8LxeQ7J +crEraPDKYsJUDL25vM7lsiQN1Ib27846hv32e8/029I0OLgq5IwYetnrUPFH +cjQot5upyTqK61Omfv6ZIg2SMyhfxNDvaO0/36rQQEqnWufKEdyvD9+uf1en +AdPnxckVaCXlnnBeLXyfX/yzK4ex/7jsL7BShwb14ffUxNGPjrpNaa+hwRGO +a2p2GOZf8fJ6s3U0SHoaPyWODqg4ynQxpMG/U+ohOaGYz4KzHgeZ0MB/0/ZR +CbT+rsnZmI00uL5z6FDuIVwf3xidjC000ByZmpVEx1SN+d7ZSgOenXEZVw9S +iOzW9qpGKxqUPIlasxId5dmsQNuO63P6U9+1EMw3LfduDu6kgXVfd7I0eovf +SaE/djS4vFjS7HowhXh4oqJN0IkGOpasRbLo6mWxXoquNFgYnO7JD8L4Pxiz +br0Hjk859bocesrTXtjGiwZk69PHCw9QCD8OnenrSwPfnPfuCuhNbZYvw/fi ++rsVbb0ZSCECbXWfpgTQ4OzzrvVK6CVm8h8LDtDAwsxOv2g/hSipb+GrDaFB +3vS69SrowYgf27tDaWC+6aR5cQDmE1fNhrdHcPxuEm5q6C6/DUo/w2ngdZEU +XuJPIY4sDojmP0mDwlV7r2qgT/UrqstH4fwiBDrv7sN4/jJWtC6WBlse881p +og3a3vntSKCBmaW76f29WK+Ub2/ac5YGmT4zCdroxrfPeY4n0SDNcZxe7of9 +9E/N3+dTabD20GoNPXTXdN/AzYs0mJp5lFS1h0KQlzoO1qfT4Ip1+oQ+OsKC +8fN5JsZ7UaVvrS/G5wOJdUPZNPD2kOwzQHMbd1rOXKXB7Uft7vU+//89x4Ug +5dPgs0j9ByP0yOhHcfUbNAgt/3S00ZtCsH9IlGwsosG7QR/BDWiPrDP6zndo +sHWBXN7shfl3jXtt8F0aWDkvdt+MttUq3J1wnwZ/9HQEiN0YT7ntqrkVNICP +mW3m6In38d/Kq2lQ1LMmqc0T+wtL56H2hzRQXs3raIVmBdZy3jyiwZyPiGqX +B+Y3CfGlPx/ToKDOZmE7+nDN8KzAExowzjUMPnPHfufHgonSUxoMKLvRdqGL +L+ccNG7H+Q8otdLcMH+8ZL+w76JBo4T0Ewc0R3Fq5YFnNNgvtamV5YqfPxO5 +FkfF729Mpbmg9xUlGuUwaHDo1dzgCxcKoaVV0VvOpoHftpwFD7RJsUpoxwsa +EK+dVd84UwjJOkXrt69o4DyxztEH/XfvkNpUPw1SXxkkvXfC+0/NBknhDzRY +P+XSthft+q9sidoQDSLzMvmHHbEfN780t/EjDSRUvrgGoi+8N1Z3/YT7/WnP +/TEH7HcfObmGfsH8Yf2F/yA60So1+dwkDRqupod9tcd+JdS6v+AHDfKNt/cf +RvtbFeytn8LzcXaF0w87nN/RoUHaNO4/5wc9An1NSsVz9C/OP3XA9Y8t3r/0 +JpYuWqDB3oV3Q6fQDWr3sqWW0EHxyqdTc7soxOczB6L1eelQfGdBMh59PzPF +zoafDiWZCk8Wo0+4Ken6C9JB6LH1ocSdWM+625RiROjgF31CeRm6+mP5zmwK +HdIM731ItaEQ73/+21uxgg5/dg6UCKEPvueP6ZKkg4us9PH0HRSi9v2mng/S +dPjC77xTFB364LbarBwdDoef18zeTiFOxgecFVOiw0DLE5IUWskgRExHlQ4f +bCb+5Vn/3w8/f7hNgw4BsZK/5NBLdlWu99Oiw6sG4x83t+F5lPXhi9Khg8he +h2kV9G6j4x1Za+hg/dqbr9QK+xl59avl6+jgnOotq4XmvqyM6TKkgzHb1rTc +EvvJZLvjAyZ0uCGn57cGfTOvoeDvRjqcpc2n1VpQiJ0behrFzegQtKupzRDd +4mW+oGdBB975fYsfb8V8H/1lnc02OnTa/Nq2CZ06Fl8WsIMOgXmhVwhzClE5 +L7g0fhcdZl2onyzQ996s23/Nng4KQxTrLjNc7/zp+VonnG+5yQMb9NP490U0 +VzqUy1uspG3B/vF94J5PHnTwvqF9yRHd7vbQkMebDuvzfi3nbsZ+X3+ZgMIe +Oub/a+ke6GTtVxMm+3A8ZStl+zdRiOPm+6dc9tNBMzu8ag86Jq1J5EgQHfTu +3tk1tBH7QQ1NzQsH6SBvX/EtEO169snukjA6jPy+kP95A/a7lz8VPD2KzxPa +5BCGVnuyifw2gg6750Hwhym6ffGx6ZN0ABMx+nH0apMCqRXRdIjVWZ83Y0Ih +hDcW5uvF4XpuVw2NRTN75Tx2nsZ4nH1nvRh9sGlyNjCRDhI1/lrnjCmEvWMW +90wyHco+VK0QQMcbVF4tPI/x9LudL80I83noyMXHaXRQDyhcREH3/Gg89+Iy +HS5c37Ak25BC+Fgm3/uRRYdgkeuCK9G/Ba/8FMmlwyfdJtmC9RTiqNIR5dV5 +dCAO561XQre3koKsC+hAtjRyu2NAIU5bjpT736SDhcLlOE203D0ro4Tb6OO3 +K8rX4Xq0+9Tml2D8Pj78UR/tU8L2biyjQ7T/T7X6tThf0dU8Lx7Q4fSIdqgp +Wk6T1PKjkg7C9dLNT/QxH5XvvUqqpYPqziZRC3Ss6N9T2vV0EJQRPtq1Bsfj +9zB6RyMdsvJF+naiP1pc2B3YTIfRbU8sGXp4X2peXHQW6HA3Q/qxC9rCx7vh +Ziuu/y8lo1e62L96fBtv6aDDrTFWkw964lOTzZtuOiz7uHr7oA7Ge5/Qtele +OugEru4PRP80F9aToNOhZpB+clybQmivjri2jkWHQq6kzBF0p8KGTY5cOuxo +XNz5azX2AzZ2Sw+/pEMq/8XIU2gVYQG4+IYONzfXrZ3Xwv7NY7bw3js6yPZF +/zqDzi3cHNU9QIcldu9alqGlm/ec+zhMhxaFN5cualKIvp5fCTxjdFjdc+QA +BV3ZLlmmPE4H/64C65xVFMJlb/87swl83lU/PRm0fe/rVXu+08Gt8ZH8TQ28 +H3VDVOwvzA9lt8TV0Ne0uT3X/9BBelR2xT11CvH1F3Xz41k6VH3XkNZDS10l +xl/+w/3f/lTjoRqFoOmZtkUvYoDRodGNJugk182ygksYENV/1fOJKoUoXLQl +PG8pAzylObEW6MY9xwY0eRnwpSS3rFsFz9OWuKBGPgZ0Lx3st0VvV7wxsp2f +AYM11ZJsZQrx2mzc/6UAA64a8u72QNur35k8IMiATMqb22+V8H6m1XD1jxAD +pjr1p/ah/174oJ8swoBdr5fZjSlivr8p8EGCzIBQuldFKPpkgc/NEgoDSrS0 +JX4q4H4GG3kZijGg9sjJc5HoVs1m+c4VDEhR3zj3T55CXJKM+eMqwYAyZmTU +WfS3I6X0EUkGfP6zepEAmj/R9uHxlQw4ruCSdkmOQhyL7rrHK8OA77RJpRXo +MbWJ69myDHBL+9dyTRbvF0/y76rJM4A8GL1XAb22S6WkToEBvS7BQndksP98 +V8ywUmLAw9D2J1oy//9738hrrjIDfOsuRFZJYz+TPioQqMqA9IctJoZow8iQ +bb/VGHD/l8eS5pV4nx45FJekgfNf8GKZo9ku5yslNHH9fDvKuqTw/rnN72+J +FgNe5Gel2KJvhQh6GWkzYMyyI4wtifn66Z76Lh0GCA56eHuiV2ftVPbQY0DF +wi7H9xIUgrrVOX9sDQM4mjdt96NHTSnip9YyoOOLg+O4OL7fXChXwADfz/Xx +PooOY+5YnbeeAc5HOsL+rMB+Xqr5qZYRA/bvTEqJRZ++AXubjHF9fhWWLUXL +jU4v2WXKgK0zwqxUMQpxXug79G9gQM8YczEZnb7qcVzoJga8d/xknCOK/fZp +msX8ZgY8b3M6KYsecormTTdjgClNqKWI8v/f3zuHFLYywGqxxHJN9Mzcv7Yq +CwZ4fT3kW0nG+1vOgypzKwZsVCE/Xo+WtDKoYG1jgIzBvGwzCc9bGqXcfzsD +LlavT96KVhm5VPtrB45fp266W4RCqL+fIM7txPgziT5qj1Z2b34tYcuAieCk +71xhCvFJbMlMqR0DTBy4kd7oD9M560wcGGCbELhsSAjHy9cb9MyRAe/SjAuC +0aV/PSq8nBmgIGxj+k0Q8yHt+c8vLgw4lHnt3Qm0avw68zg33O8atfP/llOI +uVnIInkwQH3p142JaEkZHr5bnrj+Kyd+L0cv+yIfsdaLAcoXNBoyBCjEgUOX +x9u8GTA5kZsghX4fK7fX1Ref/2aTww1+CsE4KfPt4x6M/1FJDXW0+1hbeuRe +BtTdU+UtX4b9GH1Ucbk/A1qa931eh37+a77tegADbtUxXjzmw/0+ZnJCJ5AB +4zqhz8zRv0zOr4UD+Pwnhh3dvBQiRUD3t0MwAwIWaXfZo2+L+XUMhjDAMm0n +4wUP5j8/47yIQwxYspD1wQf9Tz3+HF8Y5ovJpdPDS7Hfi6w5cvUwAy7MXpM4 +hL4YkOuldRTjt9Fl488l+Ptd/+ybjzFgb8/a4Ch05o417nYRmC/a1xYsRl8f +POf/4TgDsqydX6YsxvU0Fko6dpIB7IlMaTJaTja+mOcUA+bcvvnnLsJ6mS9A +zYnC+JALeSiPrtlXxaMZw4BF7+cFSxbIhK2oq31TLAP0TctDdNB1H5SSbOPx +fD0PZzycJxMrTVjM9wm4nusdN21EJxJHthw7w4A1YpbVbf/IRN9RtSKeRNwP +np3aO9EB24oW557D9bkXUMGaIxOG2wtPaSYzIPZ2utFu9KbP3xeaUnD+l591 +DfwlEz+Kn5yzO88AcdEVe4LRPFHnKAMXcL97Qv59myUT3x0bmsLTGLDcnVoU +if5ZN7+XL50Be3xM7RehU6mRYtcuY/6Oq1qSMkMmzn0vbV+difnLS7eFhCYb +Xkl/ksUAi2s1cbnTZGL82C0bx2wG6L7aYK2AnitfvGY4hwHS0C1R+odMzGYu +mztx9f/1dP+qizbOkh0RyGOAj9DYs/rfZCL6u9xI/nWcf/PJys3omR/zXL0C +PG+3ea93TpGJauGvfa2FDNAMvJxmh/4oGDzqepMBrHsSyS9+kYkD31umxm4x +4KdEbrIvWlDaUDPmNgOqHcjpH3+SiQeZa8xJdxhwZD6hIAz95yYRV1SC4+sa +rfn9g0x8cqwpX3+XAVxHC3oc+jY3+k93GQMkt2X+4ENfGbC18r6P+WwnWzb9 +O5nw2CRVPfmAASRBXjtJtNsvaeGzFQwI0VZPuvGNTPiU8iRIVOF58FjfoYGe +31zyoawa48VEX7Bqkkzcst4RtKmWAZEnpTyM0aKfrk0zHjJgfcun+8QEPl9+ +5mJAPQPg4W2+HejE3FTV6UcMKOa3CmJ+JROvHfraLzQy4J7/c4Yn+piG2AmF +JgYoHjU2G/xCJrwDzHRrmxmQ2J9cH4LWs1Gd2PYE86Fj47qf42RC3kDo4Wtg +ACW291E0OmtuPD7sKZ7P5S1bedC30mMPLmljwI67FzkXP5OJSnVTp5x29BKT +UHF0uk3UBq1OBpztJIQKP5EJbXHh9U+6GNBXpFyrjs5s5tnk1MOAeCsfv8ox +MiHmtMj24zPcH+/DK4zRfLpVflHPGSB61Z1OjJKJ42k3T4jQMF+VrMjYga7K +1iwqouN5NLzjyfpIJqxfqg8YMjFfzyzT9EK7q+gq97IYEFa4YWFohExUOB/c +v4eD43mxuf8Q2jHzyP2fXAbsdiITU8NkQhNYgil9uD5tFffi0KF7joXIvsJ8 +/1oqfxm6ScbsVdVrBjzbYXvl8hCZSLFeus2qnwHZbTZZK9GKXrrdr94yYPMs +6VrRIJkwe6lhH/aeASdvXr+zGl0+0PJ5yQD2E8FfGh4OkIlvcycScwcZkMu/ +mL0J7Wlsoag9zIAC/Zc/Oz+QCY1vis+IEQbcvXpExgGdyHs1wXWUAWI/une8 +ek8mONP9Lp/HMJ//eB+3D62b7CgR/xnrvf3Dx+PvyMSC89JBsS8MuN5i+S8C +Ha0Q1nr3KwNkf6Zvm39LJqikwbpNk9g/3bmSk4z+nr2igPWNAXwXHb+S0RVL +xq4d+IH9iXeHTV4/xmfSvYK5nxjvtIkKFbRZREdNxhTWm6vPV5a/IRNGkWXN +6n8wPo/5XDBE+52ZHmuaZoDDiptLidd4XnvkKI6zDLy/Zp3ZgS5c+GP98S8D +MjLW87NfkQkRQ4nk6H9Y796du+KNPleU1UFeYEAp94zGx5dkYvHVOemSRUzw +11/99DDaKmVTxIYlTLC8H7t3pg/370gTh7GUCaH/IvnPokmvj1sH8jJh86BM +vRBadFNpy18+JpxdsT8k5wUZ+wMlwwx+Juy2d1ZTRJcb2rWqL2eCoN3IxzIu +fl+rxq1ZkAm+z1dWrkOfPZD9x1GYCZ5Jk7EtHDLhwKdxcVSECQbG+52t0W/j +SVaxZCYUFZ7SY7LJBGFyeKmYKBOun1gt6oX2+qNYf1eMCV6xp/4Os/B56bT0 +zeJM2H9k33gYumTguAdHggn3hEcGpplkYqRqm2GIFBPcxRa9P4PO5Dmnv0ia ++f//fzoohHb64CiaI4PjdZr9ksMgE3vClwtryzFhkUDfP0V0qdge+VZ5Jhip +Wovfp5OJNc9u6XooMsHJf8e69Wj6Qc/tE0pM2JPU7w40HH9BkE+iChMe2y6c +2YHenKKbIq3GhPlTVQ/ZVDKxz3L30yp1Jsg/n/jig+b/0LTIehUTfHgbV489 +JxP91wss32rieo0KHz2G9r26/Fr4aia8Wfelea6XTLy8kf1bQIcJwuVOpGQ0 +K0nM+6YuE06JmwVR0KWveFiGa5hA06vtuv6MTCxJZVtS9ZmwGu7pqKNJqTx0 +/3VMmElSy6vqwfNwrsB21oAJHBtl4Q1oG+Fv45cNcfy0G0kd3WRC+nTLGQ1j +Jiy8yOdzQHtM3tB/YsIEw1VSaa+7yMQN0YERlw1MMEkmS+9Hq1SoFY1vZIJx +Y2L5ZCfm9wLtPWc2M+HJ2XDrKLTolssqK82YEPngzSgPmhFxWKjKnAkXZpou +pXeQibHwG/3bLHA99cU2SqO/UlX73loyIV36w2RxO9bjE4sgYhuuX4zSPT30 +FJX0RHA7E5zlXoQ8biMTO2cN6EU7mNDVMadvhS7UDv5gspMJWzZdWaC3Yn6R +G55i7GLC3M7r7N3oVX73VwbZMSHiMbli5CnWq6oghwV7Jjg4/rx0BP1AIz8p +x5EJZa/MT/wlyET4meEmHWcmvJf965+EFjt6U7zDhQlZw3IeFHRR27YAbzeM +39m7TvmA+by3vuunO45P87qzBprzp1H1gicT1mz4ubvmCcaPYlKOshcTfs9W +Bm1C/yuoFnnszYTudYyY7hYysXSBme/oywTxaqdcZ3Sspon8pz1MOLnZsOFd +M5mY8OJpSNjLhInSU++D0aGVmXul/PH3jTLCU01koufta4GqACZkmMmYJ6AF +Lnl1WAcyQVbgZLQgepWAS8L7A0w490GnOecxmQjrCLA6GYzxfWXzUmV089gK +edJBJsj8KHUobyQTd7w/TJUcYsKXrqBiY3S1sfvbzWFMkB6On29rwPoXldL5 +4jATtMS/+Nqj/agCj8KOMuGv5oOO14+wv3KJbeALZ0Lz9ydrA9GnwyOfF0bg +em5QKflej/Hrc6Lf8ASex5d9CrHoFc7if2kncf1y3tzgR1P8mlcdOMUEHmsd +9St1WD/+zHksRDGh9HFvjQI6fpgnIzcG59daZ3X/IZmI2MrfrxfHhPO6n98Z +ok1UL6l0x+N+Mw/EtdZifDQ7RvidZsLRGB1VO/SKfypvps8w4dJiU8arGjIh +J820zEjEeFt38cx+dPhI7FPNJCbcHlLe8L0a42nl+c2tyUz4MzI3E4M2ujTS +uzsV86nwSuBHnzVKdvx5ngnftU+cv1JFJpJ7v/64cJEJd6XEvBXRjS3vC1Uv +YT4unlj3oBLX115vV0s6E8KLl4kaowXPzs+4ZjBh51fv320VeB40FsNEJhNa +nL9+sEeHfN96MfkKEyYfPGK+KcfzJNIdqJiD8UV73H0AHX6L36wxF/cjbarj +5wMy0eCnqO10DfMDBPbEo+c/BauM52H+2SjMFkS715xekZjPhLWvRgdz75OJ +DnNLZblCJqiFTk2roGvNO3XqbzDBim4gXnUP42dolaX9LSbQXxQbbUS3jsXt +HytigreXpV93GZk42fWn8HQxE/oNRNNd0AbW9j3SJZj/Nwi3f7hLJoCHLPqw +lAl21gYLh9B/T293sC1jgp9+ktlMKfZ7T9nVH+8xIYe1OOUcOoo3nT/hARMk +eUq4FPQ54bvBKyuYEHbjqGZhCZm4t8jrVU0lE47H+Z/VQmeE1TvvqmaCRHTU +UP0d7D/EJV6M1GD8Ha7bYYHOc3saEv8Q85uhWD29GMcbw56XqmdC2/3MVd5o +Sb9dV2se4fvK1t4au00mioPabXY1MiFq+Q+F4+iG0Z28Hx8zIf8+vXgxepXE +p9b4ZqxPQc/0LhVh//7lUezKJ5hvZAcIafRX1m3bWmACqUTUo/QW9oePU1Vt +nzJh4wefqXXoVxFfxUZbcb53n14lbpKJ1bIBvKfbmRDSv3GrLZrvq9S0dCcT +PDxp31/dIBN7N1QvPOzCeP8XURqIjhqL+GfXg/Xijp7/z0Kcn/FPuU/PmLB0 +7T/VBPRvsoTp2edMUE3o/yKEntF46C9HY4L64eePrxWQiUA5uPiIzgSbd72X +1NHEEirdkcmETw9eBdXmY7+gniP6hYX14fGv7WZo+pYNnkkcJjSMyuhRr5MJ +Xj7xWsUXWG9W2Mns/t/vbkg39WG/oHheeDQPx093PO36iglnvtJ4I9BusUt+ +Tb7G/sJbhmcxeqnwQtz5fiaM24bxX7qG+xtxcLHaOybIFXeKyqB/i0nnwXsm +lJupqNy9ivWqV8dg9wAT6njPmqxHD1+N5PwaZMIx7rBray6ZoFWPJqUPM+Fy +pnWkPTrtregWrY9MmFK4d7M/B/vDUhNSxyieZz9BejB6A7Ph3Z5PTBAxDln6 +J5tMyCbV185+ZsKr1I5NiegLgdmXsr9gPTeRjaOg32eaRqyZwPlph7YXXsH6 +I3oiqHcS18vqEVkbHTr9+WjgdyaMhczsa8wiE6MGvEcX/8R+KWFt0za0+1en +M/m/MJ4O7l3JycT+YM27q0a/mcCgnIvdi15sfLSV9QfrtUf+6EQG9lulGT9C +Z5gwrV7iHoPe1RigIfAXx7vvFlUAnfs4L7R4jgmN3y7uyL2M+Vk+tXrLPBMe +NB7oVUXf3vBP8M0Cju/2GueadOw/E5YHn1jMgtacjx+2oHMMBJiUpSy4fSol +gnqJTNQ0N1mU87Bgt4G4iBf66MnZtu18LJiuuFA+lob5o/OQ8/AyFlQzPzud +QO83ahqMF2DBinP680vRJ7YURcgIsmC82rcy4yLm185p+UdCLLAxPxqogNa4 +Bs+dRFjgLxukUn4Bx1uWfmaCxIKX2ls/mqJXs/SNz1NYEOY9X9F9nkzcP0oT +VhdjgU729Vg3tN61Lf1PV7DA76mU03Aq1sfRnU99JFiQ3xuhfQxtll5dPCPJ +gkeFFUKL0NTlohnZK1lQptbxIy2FTEz29aToy7CAsfPROxm0eeqZLKosC4i5 +s4yyZMxP33gLg+VZYKCq1W2E7hvVb+ZVZMG2irsdHUlkYu1rrY+3lFhglzzf +7YwWMq0T3KyC63ldizVwDuN/DMxfq7Ig4eXqgcNo2+ejZ06osyBda/Hvf4lk +Yj1nvk10FQsc4svIF9Gp8+elKzVZoNuuoi+NLknRPL1zNQsERsPc754lE9s+ +t34c1WbBb27qWUP0SVaSQ6IuC1Tiw+vaz2D/dFehW3ENC1YztTCycP5fxmxa +9Fnw4XGF1sBprMd2Su8817Fgzer50MPotW7Sp34bsCCCIvXoXwKZsC9Rlcgy +ZIGaz1/ei2iSUOYTPWMWKM6X7JZGF60sPPHchAW7hlfW3Y3HfllJen3wBhZ8 +W3ASN0JLrE6Z4d3EgpvmjtEdcZh/dluyizazYP6a2Kgzuuu7/P0tZiwgz171 +GIwlE0E8X3P7zVkg5fyBfgRdGfnj4ikLFuTmjO1aiMH7b29IpIQVzqe+ip6G +NhS6mFC7DePjtpGHLNrjseZ5h+0seOUY8/FeNN6P98Te/LqDBWk1sVEm6IhJ +k6fnd7LgboPpiu4ozK+BvJMatixQcK+pdUMP/Tyu2GHHAuXTQx4jp/A+edTw +4D4HFizSoi6NQMeEMe8tOLIg3Crs4RJ0JOXG33xnFvh2dYRkRP5/X0rzNHVl +Af02S10RzUvR7u5zY4EhPWus4iR+bsMwPO6B49/MX7UJTXi+qRTdzYKoEd3Y +5yfwPI+VraryYv3/7/EOXmi7A3yPbX1YQK2+tOrzcTJxeEm767gvC5487eA7 +dfz/+3TlWIofCzrf3/u8DC1mUXRFfR8LphZv4uREkIlH4hvc2v1ZcEs+uk0N +fcxuhdi+/Ri/2gEND8PJhPMDq/6FQNxvpT81FmgpLU5ZQRALgqfW1rKOkYkP +lwoSNoSwYN0Nica96LTE/UGvDmJ8S9xq/3aUTHAn3nmeDGVBqBOTG4+OYhY6 +ix9mQerOki8iaCNmgEPtERbcm5EXKDyC/VVTqafjMRZYu5qu1kEHfLodMxnO +giXuf5yaD2P/YzaTnXacBXf+uCTsRA++sX26+iQLPNY41b4OIxM3LfhneyJZ +EDT7dTwYfeLzcuOgKBYcstfQmgnF/ASKZ/liWCCp+S80Bf0i+Nez4lgWxJwO +eySJ3jx8XscingVfnaL4Sg9hfKeqpwwksKA9V8HLEN1s6D4VfwbX28anruMg +mRjI2XRcPpEFSw+sFXdFf3rWu9B8jgWnRguihkPIxDO3h4leySwo7SocCUd/ +2+0oN5vCAr2lBm5L0WHnIhuvnmfBbLb388xgMrF8hfdeo4t4fmMktyuj7XTL +5V+ksaCt2r+nOohMHKlLeB2RzoLH68wczNELnEOlYhm4f/P3+xkHMB+25ITW +ZLLgMqkkzA89713n4HgF84u/Dt+3QMz/i3j1v2VjPps2ux2Pnlbfp5Sey4I/ +ve+tSOhP1u0KutdYcP0N/0ThfuwH42SVqHks6FZruq6Lvn7oic6hfMx/d6fs +ngTgfScxYKtgIeYj/0fL7NDn37keuHcD85HLQsdbfzLhGCx8ecctzNdRz1ND +0RdtJtrGijB+uXLO//bh711/zycXs8Ay4IdSGlq39IyNRgkLzDV2/JZFj+wf +K+wsZYGYvBLjwV6sp+G0mf1luD/bT1VuRPeuUdvLex/zy12HK8/9yMSPnGN9 +xQ8wf28sifNGr8l7bGlZwQLxZafCvuzB/s7rE32okgWx/N3+MejWuTu+Z6tZ +sH1rpq8Q+q9N3x/lWhaM1r3wzffF/sDuUnbrQ8xv+68EaKNTP1ts3VfPAh6n +Z4ebfcjEtZZfPxY3sKA47mTCLvQrIdGaW40sOPk1L6ffG+8f5hJnzJtYoHVr +Xc0hdMLyr7YDzRj/+WbsOS8y0f2kRf/0ExZUDhIzF9G6nPvCSgTO70Stmhya +4XJF4OlTFtC8Jd3Ld+P9/Gfqgl8bCxZyx9M2oQd2X/23qAPrhbbeM6onrrfY +F+Fbnbj/8gOCvujdMz9WmXez4MSxRc4THljvvpdtG+hhwYj2xRtxaKvBv7Gn +e1nQ4HT2uwg6m9lTqURlwaex4e033PF+5CM++ZTGAvavyjt6aLbz7Q37GCz4 +Ej20jHDDfL1QmLqEhfnkbNxhB3Tk9g2fi9g4XtGE/g+uZILZ+dbVgov5XXfU +7ihasTejY+gFC968relcjJ44UmGe+BLrk/qgRaYL1qdvjGeqrzE/kiM6ldG/ +CgqcOt7geS46YFfrjP2n7NPJ/W9ZwD/U9MYC7XOLe4XvPQuWvT4cxnEiEw7B +W7aWfsB8nX6Gbz/a9GTLtPUgC4yX/7w95Yjx4dXTNDbEAi9nYlsS+tfIt3Op +I1gfjn2akEDXcj7t1hrF+Dsaml/qgPuZmmzUO4b1232nvTG677eV2qHPLHit +c2ZZjz320y+NJIS/sEB/ntzhib6q7i1Y8ZUFD5i/kz/b4XiOPBe3n2QBs3qt +QzSaZEvW+PYN883dNjkh9O9nq60yfrCgCe5+y7fF+8a1QwFrf2E8LB7o1kFz +NChp7CkW9EUeLHmyi0xcmlekRvzB+qxnnWqPjmW0C0jMsCBLP/zoh51k4kng +D59Hs5jfUid8j6LPtLZWeczheMwbHJegRYacpGb/4fgD6TuybLCfmNU7eX2B +BTt51lmrovlb9b9vXMyGL2qDO+p24HnbJBvybgkbJvreOG5De0yE/4nnYcMl +dYU9fduxvijJpCnxscFf/v7RIPTaEnHVtmVsWPs8LnXGGvPJuhFqgAAb/m68 +VnIeLXS8NopPkA0vY2e6ZdCCnwbW3xXC7+cXfnuwDfvb7N1zO0TYUHknWW4z +ei/f6d5xEht47tba062wvzrEvpFGYcOGaqVkP/Se7ZeS9MTYkEVntH23JBPt +K2fDmCvYEEMheM+ip/us94dLsCHh3MSuFegXhq77xKXYkGTqde2OBda7Pd5H +H61kw50tvOOG6ESzddGeMmxYVDxu3r2VTJT5Ly3+K8sG6ZPChZ5o9Zvq3QXy +bCjpDl74bI795iR1dosiG47eXdgfg26iGawdVMLxqNOYwuiStpS4RBU2uDlz +tt4wIxOffb8/U1djw6YtlMY16MFDu9V71NkwPHvWoHULmeAxhrSDq9hglLu6 +zhn97NfAb2EtNvipLdswsplMTD2KD69azYYL9eKdJ9ClUry/nHTY4OTt5saP +do1QjZ/SZUPgqu7xa5vIhIxRhsjVNWy4pR2StBqdcSyv0nQtG/SjN6i3bMT+ +Hwo9365jg6f6hl479HIVddGE9Wy8LwUd/7AB+y9huR5lIzZw+p+qHkNP+GVn +dhizgRC2frUUbRq7e1+QKRvyPv7OzDbF+9DlYAvBjWy4EcVw1EAz5I+oVWxi +Q8hblnijCd5fh8rkHbewoVj53zsb9BuxSfIvMza4+tqV9xtj/ZZPWZm7lQ2x +xR0JYWiuE1fB1JIN5wT2eS5Ce7nf3/jWig2Tt5SNMo3IxPZSde8EazaEnuGT +VkXP5kymqOxgw28QWlJviBYcauu0wfcdNpi0Rg95X+QN2cUGbknMwKv1eL6L +xG2F7dgwFzX88iA6392puMqeDa8XH+T+M8B6d7x+kYsjG4IdSX3paE/qxQN/ +nNhQE894q4QeTxJ5kefCBvLt8k+16zCeqwc8NruxYTnrzqwV2oGS+3LAnQ02 +Kg3kl2vJRKdlTcg5TzY8KR9aHYL+l6XKr+nFhvMpGrvm9LE/iqbVPvdmw/dn +Z45eQq+8YOB2xJcNYRd/XVdEP5ppEFnhx4am4ejemjUY3+uH+x/tZcPTcclF +VuiqB7wlXv5sSGnsMunTIxOZmcxTCwEYP4HnI4PRj/zKvG4HsuHZ8j3Nf3Ux +v/QctrIOYoMXWPJeQrPe2pmNB7OBt8DUWRF9TzfPLP0gGxjNW0pqdMiEuMAb +m3WhbOAzdp63RCdfuebWF8YGkVURXn3aWG/am09GH8H4LLnVEqz9/9+HQwsU +jmE8Ul+rzq3G97VPM9rC2ZBeL59xCV29/veyoONssIs5tEQJ/UrQxlHoJD7f +pC2yVotMHPJYVVAVyYa9y5R/WWn9318enHWJYoPEkpSIl5rYD6YO+MxEs2G1 +5a+ZELTbE21aQSwbPoztT/y3iky4rPm9cWs8G+IE+8Uuo+uf3On6mMCGwi7X +u8roKxeeuV44wwZRE5Z5nQaZuFGX/UkvkQ2N0Q4frNFK2gZpnHNsaL5PP/ta +nUycFm00OpXMhsMjdtqhaAWJms9yqRh/VtRXC2o4/3fFt1rPs8F2bMfFTLSz +yNaQAxcxf423Waj9b7q6udAlNtSFmC5qUMX+cs8l2ep0NmQmPnhqg162Y+Vy +tww2KLutTHmrgs8vj/w1m8kG8X/xzkfQNeEXf9+4wgat3PcqS9Hz61b8tMxh +Q+JWo5lsZTIhK6TL9zmXDbvkktir0At2i5TTr+F6buutaVLC/uUYr7nBdfz9 +G95cO3RokEHIq3w2XP9rkDCgSCZ8v3SXxhWywaHTPSwCXVe3c0zlJhsCdofu +XYZmiGob9tzC/NUX4ZmnQCasE+vSwm7j596hbjroYAPpH2J32JAv4OZByJOJ +nruOTo0lGK/zOnuc0byXfXp877Lho9evkI9ymA9cHLbx3MP1NL8bfQqdbxDD +KbuP60/fniGEbi3tPGBfjvlVg3v/hizeB+Ruzf+qYENk8K7eteh7w/tK86rY +8KK+fLJDBuPXctUesxo2VK2ZlvJEl/hel/5Yi/lkWsv6izT2myoLfRfqMJ71 +rKLi0UaBWff1H7HBZ9qqRhSt+KA0pa+BDSoR2pN3VuJ9c7T6UOxjNuzo+LPG +BL2ikNdZpRnjRaT05HMp7D8PMhx7Wtiw5KhJ2x70t322Ow8D5hdyhdhPSbz/ +mlL2iD/F/E/mCU5C57osP9bUyoaMTNO2lei2mk3Ze9vZQH/soFwuQSbeN8+3 +LevE+T2wSjJD991I/13exQbZC1KTbHEyYS50a51LDxvio7q9D6BfTK2Mnn2G +9ajQhT67AuOF3U6/+Rwt07ztEpo/95y+NQ3XR3y+VQk91Tmb/ZWO+at6pWWd +GN4/8tfyX2FifRYTebYdfe9TZ7Ipmw3he1+79IuSCYuKFp4BDtYLiB0+jH5b +/ud68gs8T05/IpeiAzfPrdF9yYZ7ZttEcymYb2l8LM4rPM+VwVVa6HX+s2ei +37DBtN3P+QkZz5PRQ1Plt2zYfUfrryNaWGwnX887NvREdpaOkPDzWLnewx9w +PQLWeZ5C+z2UvycxyIbp9CMkYXQ6s/FsyxDmZ8XYZzdFyERxp9CJgBGsf5s9 +zhuglzcuPSg4iuMnLbbvFiYT3pvdA2rGcDxNJ6S80YryRKTnZzZ4BDd8nBQi +E+/8V6Yt+sIGSfOOxrPoT1MnHpR+ZYN9SH6GJHrlXV263STGi9CmsPuCmH+M +XvP8/ob1z6HEfgu6QPfkloIfGP++fevZy/H7ukoXLH/hefWlKx5AJ+X3vxyf +YkN0ZBr5rwDmn/YI46w/bDj0gsybjpYVr842nWFD602PeWV027pJ/sFZjN9F +AXP1/Fgfj5ckps5h/6KwdsEGPbtrkl9/ng0t6q1875fhfJjS114usGFmi5hY +ODqnw1UnYTEHKNmqqsvQOxUMGBpLOSDtMGVynQ/3q3A8hs7DAa3riS56aNtS ++oaTfBwovskMb+MlE9Lpn6bl+TkgdeFNrjta5ElVa6cAB0zP3SLGefA+dPnP +zTBBDgw3Kk/Eo/crL4uUEOaAkouv4gp0eWDGviciHNgY7+x+dymZOCUquSeQ +zIFzgYuzNqJdjjj7iYhy4Or6A2zGEqzH3yv86sU4YCyVKLUfDfGCUb7iHHAy +dd83sxjzi0JXDp8kB753va9KQwt4B7RUSHHA+6ssjzK6q3nJTzdpDpD6hL3r +F2H/VG6vtSDDgfPV1Q026OswFloqxwFbZ5LBkwUS4fqV+dRegQN1L+UWjc6T +CHZ5hMy0IgcO2aZxSWhR9pGkm8ocEBHyfmj8j0Tkuvb/2K7KgYLDKfl750iE +lldEyHc1Dqxnky+d/0sibvw9N3lNgwNJmT9TamdJxKEy75itmhxIENBL658h +ETZVBhLjWhyIuvI0jxd94sCP5ixtnE96WbXuNInouRPpt1GXA6MeI0z3PySi +y+vkyhE9DrTuCv+b8JtE/JmUeJOmz4Hxbkfde1Mk4taGReWG6zhwYXV8CPsX +iVhYWX/qvQEHXrJmKud+kgjL48c9Ugw5UChHzKuhdz11ttA35sDNEIab/Q8S +oWbpsPG1CQdsVmo2RH4nEYuK/245u4ED/qndykXfSMSQe/E27U0ceCBdntM7 +SSLEA+54cTdzIE+HKzY1QSJWZd85HGfGgV7lLXny6LGXtwo0tnLA3euT5vav +JGL69NRzhgUHwoxZrUe/kIjlBU0iUVYcAJnpgOvjJOLtsQJbFWsOBB/wJHd8 +JhFcvqKi59s5kB/7q33iE4k4rdA7f9yGA/NE1xkpdED0fW+FXbhfV5g7to7h +++eu93bbcmDQiyx9aJREXKzp33XMngPmUWd+Zn8kEbrPT9FlHDnw3Fn9BYyQ +iN2PH3p0OHFgatfs00/DJCLw2cM/YS4cUH42Vy+GTl73+YqUG453jXbdpiES +cbi5a3urOweMRpKaDwySiLiCy9MHPTkwbStIzRggEY+7pB+Le3GgivHoY9MH +EqF+KigZvDlAZZ8X+PieRMxtWfAJ9sX9azmznozufbdgJeaH8TFVEGL6jkQ0 +3WWvbtnLgdDB13cD3pKIB7REpQP+HJD8YvTtUj+J2L/+nQJlPwd2R9WaNb4h +EayINTpNgRw4PrUzb+g1rp/qcfP9QRwQ71yYE0a/Zwt7kEJwvVyoQcavSISR +YWdC40EOxArWvt33Eue74Va9fyieZ+dKr7Q+EjFFBE8JH+ZAZzYx+OgFxk9Q +kknDEQ5kbBo5NsglEW1Czhn7jnGAr05GSBjtrGIxKRTBAdUD+yqMOCSi4+IZ +50fHMV6fPPLcx8bnTWU82XuSA3QNaZE0FsaLxZyJ0Cl8vnBK7yMmiSDHn2uu +j8Lv9y9kDDJIROqdN/Z7YziQujhhrzB6+e7Ho4JxHMga4zM1ppOIyXjr9Pp4 +DogtZMr400jE1sBLW/ae5oBvjTLfJSqJqM+wnhU8ywGzIw9nGp7j/D3aG+sT +OfCiZNvvoV4S8XXLmcS9SRiP7X1/RdBhmjV7hVI4kGgUuNz0GYl4+MLG4lEq +B04d/qa0v4dERBQ/0tx3gQNBbyK2Xu4mEZ/spBSE0/B8fv5+sKmLRAQ5Vig1 +XOKAokhg4cdOErH4ddoa/8uY3+roryhoHkaquUgm7reDjvymDjxv49b7GrM4 +UOsYezConUSsaOFJD8jmwHbNJ0+z2jA+XScJUi4HJrdPKEIriZCPvMrfdJUD +2cpCqZ+fkoj7zrvtA/M4cGCVxKw4+uDtnzco+Rz4+nx5hDlBIvbsfLXQXMAB +2pmx34eARJj3zQQG3cB4bSk/c/UJidCJkn0rdgvP76SHZHsLiegLVHCBIg70 +pI09nGwmEYPsM+9CijmQI+jlJYNe3/X1oEQJB2LeViy3biIRdcfsBFtLObAt +crD12GMSQZo+Xx9axoFHDr/OFjaSiHUbRQNW3ufAmv5B22cNeL5i0+Q7HnDg +8OUHir8fkQgFv/KBIxUckBuyn1NCfzrbXy9bxYFcm94PtvWYLwqyLnZXc+DE +JjnaqToSwe+ceySilgM+ay3b7zzE/Nnj6aNYh/nq5uY2Zi3mIy221/N6DpQs +LO/9V0MiNIycPSMbOLC5q/SNJvr6Y+kg1ceYTw6LTblWk4i09MazjCaMryO7 +JM9UkYhHnYolMS0cOGbhuLWikkSEFJx4uQpw/f0UT7yuIBHxudWCXAL3f2tD +DR86b0LH9nQrB67slZxeW04ivF6/v67TzgF1443b9jwgETKMvO+vOnC+ZmoF +F+7jebCJc07q4sCvX4y5R/cw/wqNEGt7sJ4yNu0fLsPzxY1d8/4Zrq9dyAsy ++sq6juoLzznw75OLw6a7JOKAJMvMmMaBn/JzrOBSdMxp9jCdA1uCfX1zSrA+ +0DtPZDA5sMcq6kfrHRLRveuJ9GY2Bz7q2aVPFpOI8J8/ej9z0HdeGsiiIzWp +mbkvsP6oSg1tv43xs0LG3fIlB3ZoCuYdL8LPxUJXfX+F8bK2yrPoFomAxmNL +C99wwLqFV5l+E5/vcG/c5i0HhHYs//n3Bol4cit96M87zK8uzc9XoV/+DRso +/sCBZb7Sla6FuD6KFwcdB3G9RpTzzhSQiL/rw37OD2H8hXDSKvNJhJtfuOSD +EQ64hOqc77+O8W57ZLPnKNanUO10AfTw/oJgvk94nr7Q8w3zSERne8D92s8c +EAiRqPW/RiL4XETG/L5wQDRonnn5Kp7vSRMTkQnsPw4kzbTkkogL9Wuzmibx +9+MPNMdzMH5lg+eCvnOAP+LIPin0P92KMImfWD8S6betskmEcN/cQNsvDgzc +6P567ArOR+V18NHfHEjfvtvsZhaJ2H63+Y/8NNa3xWevUzNJRJnRz7TnMxhv +9uYLsxkkwrQuen3UXw48eZh1cBW6q/PZW41/mI/qIz+4Xsb5RKvlcufxvL+c +8DmbTiJmw4R9zi7iQtyNX0NVl7AfEBHU1F/ChYXLKcfepZEIBxbv0vdLufBK +v0xACP181bqRi7xceLrMtczkIp7vRG226TIulFw973jgAtbDnJ2dY/xcSA3Z +viT7PImgBMZ05yznwtTStKbWVKyPoY19lkJcKB13i/2WQiJqj9eM/xDmQtXd +Ymt59ICz3LJbJC5sbY2Q3pVMIj60ZhvbU7ggTXRMnUrC+hK4KuyfKBe0tHJe +lZ7D81rBrbi/ggvHUoY7uIkk4oXRy2lPCS5c9a98vBRdFly2k1+KC7stpx7p +n8X1WyVVUb+SCw21D1v2nCERtLwP5P0yXBDd8KU37TT2M6d2pYjJcUEuIG+w +KYFEbF4yuaxVngutDS2LP8fjesDKK0cUuSDT5qIphTYad1BWUOYCCPt6bovD ++VvNdFFVuJCo8jIjIpZEHI1zDolR44JL+lNWUQyJEHI5r7JagwvV/VKyzGis +5yquA69WccEytz90IYpE8N58VZyixQWWjWC3Drr9EiPSSJsL9Wdva3mfws87 +Uj0+6nDBh3Y7+3wkifj4RnVLth4Xyh4tF2g8SSKMq4f1LfW5kPf8ReLoCRJR +VHdT5+daLpzL4xOQQJ+fitMtMuCCWuXVbMvjJCK6LHWroyEXrK5e0AqPwHr8 +/eLeRcZcWDv8tutWOIlYPayQXGnCBW+lS6GMY1jPsuvrfTdwIf9dnszCUYzn +44MTwpu4MH5vCUsHrX/ot2nLZi4Uibdf9j6C8UgWSDlkxoUjFW/dLxwmEdZv +t7yX2coFBV47jcdhJOI2y9ey14ILH8vEFsZCScSlXcENUVZcsNDReS+JVr/j +r6tlzYU5hWtd2w5h//H9acOr7Vz4JerWcPwgiZBdN26RasOFi7n7qotDcL+o +1oPGu7gQtKWlhh1MIqiepMQxWy5szg9oXoI+HGWnd9WeCzvN3Gn6QSTiror+ +qLUjF+Zbssb8DqCbZCr+OHHhe6mU4OVAEuF3My2h1AXjL2N4PewnETvs3nm6 +u3GBJvQ7aCKARNh7pBst8+DCzYqdxXLols4G9UeeXFi9fHh0lz/Wj2wP5QNe +uB61Leti9pEI+kZLBUkfLoRv6Uu+vxf37+lX3S5fLoht1Rt+7UcicsiS20/6 +cSHGoX37cnRm1dODGvu48G3hSp3JHsxX7/Wy+/y50DVyQyvYl0SMHDzNSt6P +8Zk7VHrVh0Rs1L8lZnyACxP3fXW6vUnE1eMv94wFcSG3gdT0x4tEnO2dq7wa +wgUDlykHDXT9nrmVOw5x4Zq4yKTbbtxvd/3EmVAu8FzxyE7yJBEzqRMzZYe5 +cDuQbVHvgfVl8/nY3Ue5YKIWOzvijvvv/51PMJwLxQdcGsXRj6zqrjVF4Pw7 +3ROs3EjEqZ8+mw+d4ILiq3P2x12xX3twblg2Es+DyVv1Oy7YDyzRKaCe4sKH +eG8+rjPWH4LiExfNhRdWSyZ40IGmrav1YrnAVKW+NXDC87xhdOF9HBd665u4 +AY4kwv++b//lBBxf9nPuFQfs76IMe8zP4Pe95t+225OIZ78Tn/44y4Wh2/YT +v+ywX/adaL19Ds0PfGronHM9HS7JXHimtlPD1ZZE6L3ZN8Cbiuc754f9uV1Y +jzanzNWfx/lN1SbU7cR6aZOjEXSRC5of0hpHbLD+H7rstfISxs/3uFlx9OsW +kdxn6Vx41HXOYtsO7O/O1n2IzuDC9L+bV05sJxHHLmcY6mRxgatP/1pijfFu +ZJb97gqep0Uk+75tJOLzyNDSyzn4/WV7Gpahl0W6HDW/yoX0kRZNYysS0doY +PfXjGhfSjLRuB1mSiISY0Lji61w4lF+kes2CROy1SRVzK+BCQY1aRc9WPD+b +bz5YdoMLKitrtsyaY/8cqujZeJMLkoe3vdJCE29CSAeLuPDPeSDKywz3r/By +j2wxF/YfOK16cQvWgxX/0mh3uOCwQ+1F82bM/3yyAQmlXBDP603/uolEVHeu +t1pbxoVPM8cc5dFJgSMaw/cwvwpIy9hvJBHF+3Nlch5w4VQIfInfQCIyWofk +t1dwIaFlb2eVKYnYErlLdbaSCxrFC6UDJlivwuaNH1RjviZyM0TRn3qXuPjW +Yj56uOqshTE+77dHLLmOC1Sl6pgII+zXP+s/aK3HeLmvF3fHEOM5fftERAPm +j6mi5BfrcT4pKes0HmN+uilwbRn6OKPtzKsmLtg47asxNsB+7MbQ4IUWLsw+ +uM8OXkciLvNW2W4GLoy5DM/lrcX4mR2GbwQXKBPLdZ/rY36t1zS+3cqFL7Ly +B/6twf77wnLCtZ0Lekmyd3XR0mUnHPg7uZBD4/m+R49EPPWmfX/chet5nWue +oYvjp8rlhfZwQSozLa9VB+MvMHeXYi8X1nis/vtTG/crNo6X/RzrQ1a5vxp6 +Qs+Geo6G8flZlOO2GvuPYeMCYwYXlvPs3pWihesv2xg9zuTCz3Onnzdq4v35 +gcj+QjYXLkmmuIyvIhEbJG87OnJx//0ODcuiY874OPP0cUFwmU6MnQbeL/ND +PB695AL5YbdMgjqJcN3P2R/ymgurSJvbqtVwvjq1yXL9mB+IC8eGVLFeBydU +Mt7i+h+p0hRHS51+/ubse3xf972xbSokglEwIG00wIU3R05VRipj/qL0+nwe +xPUSlYm7p4T5In19ZcEwF0w9Lrn0K2J/8GGViONHLtz4zFwrgv78sPEEzxj2 +H+HDUmYK/1Fc3vFU/18cj1S493Mp2SOlEkJDfUX2aFjJrog00KQhSiqykpKk +IlFWURkZDc47I0IRufumSYOyR8jv/P58Pu7nvsc5r/M65y1B0tdYfS3/0QF5 +6bWzg1QkSE6onff+Xx2wUDpw8p4yzmurnX+p9GL/PP99vENJggyt4oa0/e4A +7hWN6TnIMWb2slF96Pc9q+gGiuhnyqLP1w10wHLTmQsPKOC8UPB9f+9gByjp +3zRKl8f1up9rZw6jHs8O+rTKYf8OEhtwHu2AR7WSCcLIOhFSIDqO8Sv+81JP +Fv3dd3Pai794nuGEqb0yGD9ry4gjk+hnBr2mN6Wx/62UDF78D+ejFWLxTfMx +PnNox9nTWP8Rnz5MSeH5nE+ExgsxweTzsXUrkCOzg2JMZzJhcvxl6q55+J5p +kc0aEmHC0pD6WclzJcjy71eb82YzwYURGVwvKUHE1v8Q8hRlwia/kb5xCXwv +BGn/N1ecCYy1ykHLkWtEf52tozHhxdLRv14MCXJh79i7EIoJAz/OX0yk0D8d +1FbpSDDhsC6o1dJRjyt8kz9LMkE590HNCE2CXLaqFk2ZxwRDIcv9GsgfrydF +2MxngvnvWIUd4thvl9+iZsgwYe6CU+8SxFBf10dvPJFlwm5LmSsvRXH+mHV5 +rb88E+IltrkOzcH86gt/VVZkgtQqq8XqyOsYCVfblJgQ5skc95gtQfSWtNlE +qzDhswWdFT8L+828Q/PXqzIhNOXbcxDB9+Kmtd/6FjLhsrhP3sBMnAfnqdVn +qzGB7RCWtgS5uHooZ9sSJjgqrLvhLixBToRqZ0ioM2GxclLqRSEJ0tT67Ubt +Mibk0OJyqmagX2T8dydEkwnnbio97Z9mEOWC/4p1ljPhQeim9sXItwY1W79o +M0HdV2LY7R+D/PUpH76hywTvOQdVLk4xiLl6gIb9SiZIKPk4VE0ySJ5h4L6Z +q5nwyeVndP8EgxQ3uBdU6DFBKGBOw2LkVZffTB5cy4TXVLmE+18GiSlO9lbT +x/OPjHpdHGeQHJkFr9jrmMDhNpRWjTHIMb+QtQmGTPh7eNn8gVEGqaL9LbQw +YkL4AenQJci3vrYbjRsz4UdUQrf7CINstnJpe2TKhJHjV3fEDzOIUYvPwd3m +TKjoW8CBIQaZscVFXsGSCcGP1ngODuJ9+1XrWqyYkLK37ftS5J7S7REXNjCB +2Tp0atsAgwybaNoZbmLCxuxUmYR+BqG2eKn1b2bCcGpdxcs+BtlYkj2ZY8sE +r4OBu4b/MMj2bfe+77BngmXbbSkN5ODbVwTztjBhV8Sm5h2/GSTN4zy7wZEJ +wgZH46/0Msi12n9dZ5yYcOSxvHNtD4MEevSO6rkg3zZUG/vFILH338375cqE +3ErWuBbyldwi40x3Jmxo7GHt/MkgBonxR922MeF5WEhl0g8G6Xyv8ZjawYRt +V08/qP/OIBXBKZM1npifmqH0iW7MR/CmraE7mdDf+PGWLvKGN7bFK3yYoLrH +JN23i0FCef0y3buYsMRO4n7KNwYZvCaeeHs3E54aOzxv+sogF5WL6M578f7D +U++nvzDIl7AvyeJ+TBDoKIysRtbwjdV56c+EL9l3Vfw+M0i5TkZj8H7Mp+x1 ++7RPDLL0ZfVRnYNM8DcbvND6kUHSR++ofzvEhHedFbUiyOeGurpTjzDhUOE3 +8XWdDJKfbf1kaxATeo+cdD/4gUFyo0mC2DEmdH04/DBTwCBrmGmHyXGsr4pG +MSafQUyzhNyCg5mg+SL6oDiytrOIrU4IE3TystnGPAaZuDSy5VsoE5wM1WyO +chlkWt7TNe00E/L0pmtzOQwyUHvqkNMZPJ+TvjWfzSAmXUpXxM8ygev65q0k +Ml1Klrw8x4Tafy+8rFgMknWENnQyggl02uyRECaDRGnx9VZcYEKVYe61Rx0M +8v1IdER3FBNWOd4x+PKeQW7kynHSY5ggT+/tlkUueDvH0DUOWftymm07gwjf +qcmm4pngcDzS/Vwbg/DbapXrLqH+s5sUy94xyOi+n3dOX2ZC/lnfrp+tDKJg +v0RXLxHz+WpzxQLkhcOSjb+uMqHD4GyicwuDiGQm+d+7xoTIdOGg2LcM4lTo +I7f9OhNcn7R6VL1hkP0T5W3zbmA8jX9sHGxmkJk7VZMabzJhhZCNyTJk+zN7 +vc+nol9VDa33bGKQNzl++ga30T/1v5ldbWSQcaKlOJCO+l6jaF//mkG0MlaL +P8hggmJwss9kA4N4ZPLn7LrLBJHqradXIncwi+gKWbg/1zF9bz3mP2mZfFs2 +E65FJtanvmKQm6n/rYzLRX+9IDnWWscgVrZxbub3mWCV+UZ3NvK/K2ti/j5g +wqvb9YcMaxnE3Y1WV1yA+5lOPTlSwyB7s/aJ7X+E/mV3UDinGn+PGnJRK2TC +lngZN95LBknap1jMK2ICVT1aLIk8RuIUr5UwQaxUQsaaMMjcsu4o21L8v5bn +2VOA99dxEplVzoTSng/9hVWoJ8Ox+MoKJnRXJQV0VSIv+at04hkT9vmH/lRE +9opKe6rzggmxJYmBji9Q7/brdnZXYj3sZk9HPWcQV9kzczOACXJWdskvnmH9 +SAY3u79EvSr9WTnwlEEyZJ5dn1uD+it+0aGOHOs87ddYi/XZ+uSsZwXq81GG +dcQrzLcRc1VSOYNkWvE11zdg/dUu6GkoY5BlpF9x+DUTGrSvFPwrRf/7m6b6 +qIkJ88yXHtNDNm43WbrvDfbbpo/mAU9wvcF8fdUWJmglVclllDBITcOObZxW +JiT6Vg13FDNI8i2PC1fb8P6zOzk05ChG5BOb9xi/DQvqzIoY5AW7YUCEyYT5 +f8LKgwsZ5Pi/K+urWOhXr8cLHz5Gv75WlxjMYQI/M7HoyyMGOZ2bPLyCx4SZ +FpZP5ZEdJqJ2/uRj/E5KNjg8ZJAmt4/Mex+Y8J4aFlwowPpryN/q+ZEJNi19 +f5/no7/XCH+W+Yz1FSO8YOAB9huNvuOtX9C/Z2tsXoY8m1+nEPeNCUHSvqe9 +7jMI22OaWHQzQfL849JreQyyKTc/ZOo7zg/y1EhjLoOENV0xKP+J+coLNRJC +TnlaIB7YwwSNqZGL/+Vgv7D69VHzN/rD17OfDmYzSPgFgK9/mPBvuaxxVhaD +6Ou9eJzezwTbrIpM7j30F1iX6z7IhGy53fS5yJXLXubNG8Z6dZc7s+Eug7T0 +D71oHsF6WP1+JCyTQQoLbrZEjTGh7MT1E08y8PftsUOmf5lQNOA59fMOg1xv +rlGbmMD4nNC4uBCZdu7MztIpnAfejS5wT2eQxWf4GYensb7b658n3GYQ+bu/ +BzWEWJBke8OrLo1BHlRZ2X0VZkEP3U90MhXPlzlSnC7Cgrava56uQubW0hd6 +zGZBf9aMQP9bDDKrvzhNSpQFMir1uhk3GeRbROuSt2IsOLgwZph5g0Es1XzK +YmgsmAo3r6aQvf5mOFtQLPCmDSdbpjCIyx/nySkGCyyS04+cuo7zguX8xxWS +LAj8Y7S1OJlB2n0u+h+dxwLhnncGP66hv1larNCZzwJbTw9NVeSVFUYzf0iz +4Kt0u6pbEvaTz9+/3ZNlwbbvRioJVxlEfUfKWy95FuTn3lhUl8ggpc4vn8sr +skBS/bP25BWcL66nPHuvxILKdfKmq5GN75CGyyossC5Z7xFwGVk2gL9ZlQWX +9tmEZCYwiFLg3/FZi1iwW9Myg32JQRoK1ix9qcYCIby2BPL015Ztp5ewoHH5 +H+EN8agX2a23/lPHeEjfMT5zEfMll/Z9YBkLLnrpnSuNY5DfIiuMHmmywEjw +sLEnFv18zkCG/3IWvNorrrgY+VylmfgSHRYcat0YtD0G+8NR3fMfdVnw88++ +1qvR2N+2dcxMW8kCpdS9axqj0G+fLL/itpoFA7kWmULID8XFNaTWsKCwZ0pq +3QUGKakMefN2LQtem1y7dCQS62vz0tA4fRb8C57FyItgkDb9tFXWBiwQO7Al +ufM8g0SG/RgWWs+CvwNH1WSRp+6YNFYasWDN10MV9ucYZJGZxr0QE4ynrKlz +1FkGcRMyurDGDPPp2zVSGY7zmfXVY/3mLCjO8M4YPsMgC+bZBj20ZMH53Idb +tJEFdy1P+luzgOPQPGdPGNZfZVnsko0s2Bz0vC7tNIOsXdF679MmFlztDol7 +fwrrUcK36bYNC87EzHalI3/smzfhYccCNR3vZZah6PfhqgYyDizoKrogdDqE +QSwuip5r28ICq97jn0pOYj3MNm1L2MqCb091G34FM4hd7Z61Ns4seNhfVKqG +7Hnp8J05riz4dGji/vYTWK8J6xm1brg/jZaddJxBVK6vTjjrgfm/25nTdAzn +UXVXJaPtLFBknHw8E5lZ0V44voMF5zTaqwyPMkgv38uuzIsF1S1/3h8Nwv4f +8Hg8yJsFK/jN/fmB6B81zg91d7HAR9Nf+usRBmH8MAjq8WUBP7nGRAn5XmLm ++vt7MH5/uUecDzNIX0Pb3L37WDBrzaO8+EMMcqh2anSRP9aX6vru2oMM8tam ++mNnAOopNWL51AH0n4cHeWkHWHD2bMTJNchNvU8+eBxC/T00aDq4H+cJsbJf +MkdYkDKduzgnAOenN+Gi7wOxvp0aIz/4M4jaXrnliUdZsCAm45cMstkrTXf7 +4yx4HqLh4eCH619+lEILZsHT2bvfRO9D/T/dw284yQJzymEj2Yv94dRXjahQ +FsTs//F6bA+D1BUci7U4zQLZGau2rkTOcmz5PeMMC5Lvq3/y3439ryXVsyqc +BbQNr0/c9cV+epHLPnWOBU7l0lK8XagfhYN710WwgMuhlUkhv9s+MDISyQL5 +hAc7bX2wX9dYXX8SxYKckj6JC96Yn/YvJkExLAjQFLyq3In5uVT7WzcO89l2 +KHLEC/M772Zh70UW6MZnbdRFvtBQGpx/CevjvzApP08GkXKVt/O/zILJ0tGv +GTuwPtb3rFRPZEFD97xKznacH6y4yt+u4nkfvUmdh2zkYih17xoLqJ9Lz9ls +Y5DE8u1zfa6zwDJM+WCkB+ZLyHXhghssMN5UuLPSnUGezQ7WF9xkQZPuB/cR +NzzP0evbUlNZICGV466LbFFzL87jNq7fMXunnyvWl4VhtewdFhi6T+/PdGGQ +PzdMZzMzWKAXnhDOdcb3Q8GGrdfuol8vL7kphXwmIzN/axYLui0OPLN1Qv1/ +iZWcm8OCotyKTxe2Msg8H9+zLbksSDNMkQBHnPcNbKcu3WeByJfZlmNbsH/W +romyzWdB67nZ4SuR5S1HZWkPWdA5cY0EOGA+NhsUv37Egh1rikSz7Bnk/tZB +95hCFlyYt81NYMcgqSXbqQ3FmK/ghAIZ5LmbhVtmPWHB0s12oltsMT4zHa7X +lrJg7aHkgFgbBtE9Wbs3ohzr6fWe9urN6JcNlLX5U9SfaaX55CYGsV0zZ7XQ +c4xXxa2KNcgzBSHLyAsW3JGb0ju8kUGyI7ZphVexINTqS3neBvS/nIaVxgT1 +t8TW7LM1vi86N9hMvWTBu/S17xSRdRV89r+owfVSMve5WDHIy5x5qafqWKAy +elHksiXO3yKO7w3qWXDi3lBugwWDRMhWSf9tYMH7CK6j8P95Onzv00YW+Iav +F15vziBPwgKen2zGegqTf3rcDPX/Y1BV/y0LavccOfHYFP3SXz1ptAX7zQJT +gx8mDHKgM4Ne/g7PmxQtoob8rXws6UQ7CwbzrDp2GDPI19kxS9d2sCB8Y0jB +dSPst9ZNMMxkwf1tC+Na1zNIY27v3lI2C3rr1x8SR/7SN6VwnIv9K6TR3dKQ +QWrXnmLp8VnwyO31pjMGOF9V/8ocErDA31bfrGId/v5UOvhJJwvemsqYDOgz +SP/B1S7HPmH/VdllsRz50foCU70vLNBpUbDf+x+DXKKLrR36in693mRnxloG +uTqaueZJFwtKHd+e4K7B92y0ifmx7+hHo6+uzUf+sM/VTe8nC9wUlj2118N+ +e0bh5NAvFmy81/clZjXG74VazpNeFtSFLZCuWYX9Kbr6w7E/2G+uldhOrcT5 +gz+xZE0/rteeH/cfsiNHMWh4APvD0jktgSvQr/ULmkuHWBAXXCtfoIv66Hi/ +4sQICy6XfA7o0mGQ1UuZ99aOYb298q5WRTbT+6AwOo71m2qkul0b8++/JKd8 +ggWpqicjk5fje17LYPXJKRZomEn8adHC77U3duhPs0D9p5C3OPLY1/kh4zPY +kCLqwLLUxHlLO03nmTAb/GOHncM1GMR8SW1PqAgbfngMsZ8uY5AjnQrlhrPZ +8GDfZt8hdQYRdVp7aXIOG5ZkjAzqIC/vzfOvFGPD2v7ROP+lOK88sHc7Q2MD +c6PdsqwlDBLivMbWhGLD5uThpg+L0Z8TVbfOkGBDde2f4/LIm+c5eb2UZAOn +zmCpsxq+t48vPX5+Hht8ojv4CYvQvzJ33LKYzwbaWNXN1wsZRE5MsUZEhg0z +5ozsEEG+vu3odJ0sG6LuhSw1UcX+4CFkES3PBsXKjSMhC3A+Xyh8daMiG/Qt +djU/UWGQz+usesWU2fBsSV3eH2WMr0OYa5MKG/Kcj1zURJ5t87YuXpUN07Dr +2B4l1I+MobX9Ivy/e6pvhiLOZ7ElbyUWswEoeQ+eAs47UyJe75awYe87rrMM +Mt0zYPKqOhs+JHW6OsozyHvn93nOGmwwt166M14O55slVl4yWhhfzsOD9bKY +/47XyuzlbJhtevy8MPKUGXTd1MHvA07dNpLB+jgwVLl9BRtObIaqk9Lo/z8i +s5RXsWFPm0lXyXyM3/vLiZ2r8fuhCak/UgxyfjI9MnMNG7bcHdigiTx1Mvei +739sWNCy6PyeeQyyovO/W0vWsUH74MXqjLnoz/EbiroN2GB/WEuML4n9nH+P +d389xqNByFVW8v/zRJD4AWM2rDhA3d8qgfX5J81Sx5QN3nZ2wgkMBql2tb3U +Z8aGFzuJz2sK58VX6R+LLdjAvb6nXgRZO9DR6LgVGx51Ga42peN77aF6zn8b +2GBhYZ59iobv41m1cn83YrwygpXLxRlkiaPL9Reb2fBqkJs6IIbxfHtrYbgt +G26t2K+qg/zJY9YzM3s2aNqq5/uLov9maW0T2cIGA0PG+uw56Kfhs8XqHdkg +NKjS/nE26jPxVlWsExuK/NyPKCF/05Y/b+uC+yU+lXKfxSBpmpwtEm5s+O1r +Vpkkgnp9bKDZ5s6G5ve/D7TMxPk/cY5k8jY2nOGSRTTk6d8Hp9x2sGEioOyD +tTD2yzSzMQUvNuScfptxXohB/jPS/ifYyYaxWaL+VTMwfvcZUpk+bCiY8vnv +7zRFNBQuaO72ZcPxbTzaWmQ3yspNfQ8bXKWOdgX+o4iSZUncz71suLFgWf3D +KYrsKJhoeOjHhsMnxh/+mKTIBd7KuYEBbPCT6Lq1BNntqlOA3gE22HzuueQz +QZEDy3c1jh5kQ10XPfr2X4p0bt+s9/ww1ou0VRRnnCJh7+4+PBPIhmV7rl2U +Rj5yYULX/CjWT8v4dccxisiqNz2fdZwNxbbH8i6NUkTcdL/L6xOo7w5h8nqE +Iv7ckIn4k2xI3JUlmIWswmc+2BLKBqVeNyHzYYqESPL2zj/NBqdDSlpnhihi +f+2LJjsM49PZt+3ZIEV2V5hOpoaz4bTB+ysjAxR5MrWTv/Mc5udkXfMq5CXH +e6rVItigcK2GcbifIsVdDWXdkWzojXrjmt9HEf282U/yo9iw3OZzVvcfighz ++6sOx7DBkzdjXA059UU3a3Uc6mPVMifv3xR5p2A+PnoR/WCzW0laL0U2XxJb +8uIS6kXlkjynB38fk3U/e5kN1+43XJBGnmfSn26ZyIbQbtExx18U2ZiR8lM0 +iQ067bZHEn5SRPTYG4s317D+/JJ+N/6giPeqPw8Sr7Ph611e0BzkX8urFVxv +sOHQmcVTFt9x/QD5awq32LBu9MCls90UWV54W6UzlQ2XxZ6oVXZRRMJ588N7 +t1EfRWMw/g3P3zhu73eHDVY963atRVbtWTa2PJMNMmUnxI9+pcg4acnvv8sG +FfqjisdfKBK/oc2vLIsNG399ONDzmSLHV0nqncpBf9kiqq6BvKD3qrhpHt7H +QKN7zyeK3I+FXpEHmM9s04d3P1Lka6YU73U+nueyXUhnJ0UyKta/S3jIhk8j +9jZKyAvWhb13eswGZ46FmscHinSnwVe5IozvGi2h6wKKvL1UPSUoxu9FRb61 +8SmyysFZ7d4TNgg7vXkrgRy4vdHZr4wNa+ZFVdny8D47Tl7TrkD9W2k/ieVS +hEp7wB54ygbWr5ePX3FQn9ZGKyqes+GUiEXRTORHf+9dCqtkQ2vC4wpTNkWE +Pr0bNgc2HIib/SqMRZF1NzT3i75kw9xRa84zJkXmv2X0valmQ/j7wwOjHRQR +O9p9MqmWDS2Lzs5dg/zInj/X4xX64+cTa4PeU2Rx+plSlQY2GEk5+Txup4hJ +kfyer6/ZsLRM6mpPG0XCB4VUHjSx4XVTeYMGcudPXufhN3g/F+NZ+95R5PqK +kMI1LdjPtuZsyGqlSLv87viJVjZsevX78qcWXG9BR/DLNjaMFsp8UEE+0x8f +EP0e9TRfedWOtxQ5EZPhZ8dk4/ttRvzNN+gPUyUHpdhscLd5+YvZTJGH+Rnn +ORw2iKl5Os5HVs3VvneHx4Y/oe0vHJsosj+O1bpHwIYwFzWdy40UoVcsnLO8 +kw1TT2yym19TxCPUeNPARzaoptksEkeuuyd1q+Iz+jW1KHtDA0WcpJ78OfOV +DU30t9oX6pHrq5ytutjgkmb/ovoVRdLEua9o39lwG+5umYG8LPaIadsPNuiF +vv5pVEeRDQH7G278+r9/vIw7VUsRtQ0bvXb2ov5r4lY8raHIaOfe0SV/MP4e +avyRaoqkrOjN6uljQ+P1uEt6yIYlO1xKBtBfz4Bl0Ev0jyEb2dAh3F/6pVAh +ochfftQ30xH0250Jtb2A993T/nTOGPKupZe0kAviPqW/HWeDsVrMdv8qirQe +iYhPnmBDe3axbm4l7vejIHLHFBsG/mSJfXtBkZ/5b6PUptnQNtvrxyJk65l/ +U37O4IBIH/+t93OKNAbolBYJc2Bzkeqz9GcU8W23E5wU4YDRlmX5/KcU2aeY +RZnO5sBw20CmAnLZXzG7OaIcSDcJT3evoIjIs30pb8U44JzWnHG9nCL3jj34 +mUzjQOEfTt77Moo8rnfZ7ElxwMw0p2we8rVXj54sluBA+7UVjVtKKXJMPmlF +jyQHNIaCvyQ8oUhm9c3CknkcCNhzSvhNCUUuTgqZn5rPgd4/69RpyM1+yjxz +GQ4IbhU7bipGv333MlxcjgPcg1/PRRehnyhu12mT58DjI2/L6wpRjwGeP24q +ckA4//DgTOTLTt9LfJRxvcX1euaPKbLo7JoIjQUcSO5qP3X2Efpl/JNd/aoc +2DF2raHqIUV2Wtyzf7qIA5d3iSlOFVDkz9V+i3OL8f/aK44aInPKTptvWsoB +c1/RdyH5WH+am7fMXcYBD1qiXsUD/H577j6OBgd26r6+PXKfIpqN6vGZWhyI +ZT+mr0HekG7x1F8b4ydpee5oHu73ymF4pS4HVD9GThTlYnw6QvT/ruDAE8fA +U305WC/L5C5Wr+LAv0OiQrrIpw0af8Tp4f3NNsUfzKbIFlO3rU5rOXDh/Srl +giyKVGW/qVbUx/yurC35eY8idtqfrL6uw/V2TTpoIP/392drgSHm+yi3f99d +iqT3+u49bsSBkoOeN3MyKeK66uscYxMOqHtGWn/LwHzLLi6fbcaB07b242rI +V7zfHG4x58Co9bOiXXcocpuTtuKGJQck3OsPZ6ZThHxYMdPHmgP6F4+t/ngb +/XQ1na+xkQMKPWRSBdmkUbN+YBMHcqPymzzTsH8cMi57bsOBZ3tXZ6SlYj/s +7iqNtMP73HAL5d3CfmRmDnYOHHBcJrtNATnI70WHjCMHbi8KNPG4ifW7s2mw +cysHviTt1rxxgyIGH2ctuO/Mga8xfQqsFIpI2+W6B7lyIIcxf64McsoDuVRD +dw6IrXpLd7mO9e5k3COyjQObZqgwriWjvqp+mb/dzoHqKGHp9mvYT37VPEjx +5IB4e+jCechfsmuVfHZy4NrAhdWOSdgf4xNSNH1QD4OLbK5cxfqxObhgaBfm +88sWv5ZEitw6MlxUuZsDc1oZFxnIso8vbI3eywHPhu0ldlewn3qrznD048A5 +7tpP8Zcp4pN5vlQhAL+XvjO/OeH/fm908ut+/D0qyY6G3PU2zPLRQQ40GknF +b75EkU0HspVOHubA9Cbl1th4rCfjG7PMAzkg/axQ/vVF9Buz6H7aUQ543W72 +E0VOWB3f13GMA/4zj1RuiKOIdj9n7M4JDiRN3JSNjqVITFWReMBJDhQlbwp+ +FUMR/rn96nqhHMj8FMafhRyW8XHLv1McOP5nzQaraIrUdG6LbQjDfLccKY+M +ooj67fjXV8M5sCFRW7v2AkW+O+nKeJ7jwDLr/XkzkY9KLT6iHsGBbf+WaVhE +UqT/cWdHfyT6S+Oex+cjKBJZ/NXyRRTe57mqYfV5isgPR1dFxeD5v7g3CyFf +hhVWjnHoT46Ur9k5ivzY781VjOeAirzR9NmzFBluY5zsusSBY5u7M0g43v+/ ++QuLLnPAe1R84wzkVwZUx6lEDtSszB0yOUORIoPyJOskDqTSnueEh1GkV+ny +7rnJHHh/3coLTuPv3JD1/OscKPtmpTh9iiK2locW5N7gQJr4c4ExcptGCD3o +Fgek5LKyz4RSxOb3DlGjNA7kqc44WhVCEbl5iyRE0zmg9t9bq38nMb9FOQvb +73DgxiFKxRj5lhTbOD2TAz2cFxNhwTg/HT621/8eB0LjeR8qT+C8UWJ9Wy+b +A3E3/eqnjlPkgUPvh+kcDtTN9y01Qg7z36/elIfnmduYF3YM8zXscP76Aw6M +30vLrDxKkY8hjZ99CtA/Ozl3poIoYmmu5aj9iAMGnLP3jJB//chtGXuM/pd1 +pSAsEP3cx8W5togDpS6izyuP4DwsdLr7cgkH7gp1v506TBFBkGzk9lIOdL3Q ++m6EbGTjpqNejvlM65h95hBFlhp+/TxQgfF98kWz6iD6R/10RtUzzJ+ii/O/ +AxRZLddwOO4FB7Z+WxZhjFyxdMzStYoD85d5lZ/ZT5Htq2OWLSKo3/HBvqoA +9LvsV/K/X2K+D/7QnfbH/mWeM/9ZDeolzeiYCbLEuLxiVB0HPtz6Uxnuh+cX +KGptrecA58w/OtmH/UFh9UaV1xx45eXvMwN5qFsk8GcjB2QcdZ+b7qXIuX3z +75c1c2DRAQeFc3soEjXTvev8Ww7cf9Vw5uVunMd6r61yaOXA+eBb34WQC59d +jlNs48CB5Bo3c1/02+Z3Pd3tHLj5n0Xz+V0UiUjO837Sgf56XM66xgf7eX0b +9ywL9bPHvG4m8sUA2512HA74qZJNlt4U2fMkqF+ex4FZlVfaI3dSpPzM1ytd +fIyXU8muOi+KNBU4GJR84MD6iaWjs5BfB4b/Cf/Igcrmn1esPSlyN7ztke1n +Diz8OKUbvQPnp5z20/Jf8Tx2O9/Xb8d5YNaAc9c3DmRpM86IIouPHtAv6cZ+ +dkNMe9M27K9NzKVnf3DAOG/Lp1gPiszRaV5k94sDdsc+32p0x/njCG25Qi8H +1spUedCQq/+NGHb/5oBh7mdlWzfUg9Skx5M+DpwydeiOd8X6jnl94dwAB4In +hMveuOD77nnjM/shDvD6J2MZyJ3Xxv4pjuB6Rut9HZwp0nG72ebHKAeCRsHs +ihNFPKXW3Ssbx/5rEL3k3VY83zoh0cgJDlSpJjLmIa9LGgh2nML81fIntzri +e1L46rDKNAeUTfz7kragHsfPhfbM4IJfwZof7x0ocqN4zdxnwlw4vdSsWxq5 +2GZJYbQIFwwa4n662uN7Y0Och8tsLuQUzB1MsaPItsexc9VEudDy+/0Mji1F +WCrd7/vEuMC63y6lgNy4hZFZRePC8nH68u02FJmctTI0nuKC+1j4prTN6Bdb +sry3SXDhU7XWAcEmfB84+W9dNpcLt45JXFNBfr4kzGFkHp5PQ/Plzo3YbzVi +ttXO54LvVOhgxgbsJ3+MD12V4UIyXUjrszXOE48ex3nLcWH/0ef71JBZ3jfL +dRS4sN3+/v3dVhSxEnHsn1Tkwvunr/uyLSnC9H+zpkkZ79OmaNRtQZGWlTHn +bi7gApSmJyxDVtCs5O9byIW+cMdv/uYUKW2usV6rxoVD9qvN8s1wnnXdWCay +hAvHjC3u9pjivH3A8L/2pVw4e/CsqA7ySRldkrkM/z/24+hhE4q83KLndkST +C6f+nflaaIzzZkn+mPFyLginGW8bMML5Rkz7LqXDBcs/6h2rkaPuRXvydXF9 +GQOX4+tRX+sHF+Wv5MJL3WPcMkOKxPUvGgpZzYVAj47dYwbYz157tWxcw4Xh +oh1D65Dt5zNLZf/jQq+bWOypdRRRNq/L69LnwsoA7qJKffzdZjCv1IAL++a0 +vPz3H/obt+5J5HqMh33XHlNk7saJRidjLqjuXCBxfi3e95Hi70WmXBh0C6ms +WYP1eUlswYAZF1LcB4/MQi5sd3J7acGFq2fjNTboUcR8uOfOFSsuXPpj0R2z +miJSz837dm7gwqY6uQeNqygCYwscdDdx4clC8SA6svjyBRX/NnPh22JZE/uV +OD/OeLjirS0XJn4bz72ygiJmkjmFt+25YJFx9vs7XexPIyNGB7dwwd6DVyuF +fEI/pWP9Vi7EGNjnuOhQ5NBvk1C6MxdqdrPjU7Txvps9NfkuXKgfO3mSs5wi +Fk1m3fluXMiQ1fVXRN4w/P3RKQ8umHwe9/LUwvlhbHGEzXYuzAple9zRxPns +HMNX0ZMLrjMaPT5poN/VNTn88uJC/PU3XmrIptk9Fs+9ueDo9dlvzzKsT7f/ +Nl/cxYWokDknc9XR31dYu27fzQWB2Pr4H0spwpPOCtTay4XQleHZWshvHKNv +TezDfM5rrTm4BPvfgG5zkz8X1Fq0ux8vxnqeZSqWtp8LbbEpEgNqeN+leq4H +DnJBaQ/dSA/5Ut+z/PWHUb8RFw+fWITxZVyjUYFcsBOdn1uxEPutamCoIIgL +POnsL39Vcf1S7tDDY1w40mK0xAhZvejdiTMnMD/ugv3hC3Ce83EQdzjJhej2 +8+UvVXB+LmzNWxCK+tutLSqCfG6HqmPfKby/Lt/TWhnnh8fRwi/D8PxuCRUx +ShRJuvvwVWI41vsMC7kmRfTL/KDEXefQT+zHT1PItXm1+1ZHoN73FHY5KGB8 +77NsRC5wIch/n8tVefSjC08MO6K4oBeu/Pq9HL7Pjbn6OTFckG16ZyaLHLpi +yDg4jgsXAyPAQ5Yi9SGRzhvj8b4pK83TZPD9LbT8qHwCFzx9eK8/SGO8Gpdn +/LyM9xkKd12IfPNi9PvniVz4cVzlu+98rLf9hxUvJaE/iJedyZHCeaEgx88r +mQv32FYKP+ZRJHrdi1rdFC48EHnzTAvZyNJVS+gmF1KfbPY+NBfr69vT2223 +uGDNqBIvksT6UR6Wy0rjQsB/S58NSlAkvpZ573g6F+a4nj+0Fnnfl+H1GzIw +3lfeqYcwcD6bv1kgdxf1RZfqek5hP9DbGPvzHt6vz+r+Pzr2kyNa1i+yuXDS +1z/QDFmB81MsIZcLtRdPG0fSUL/993k773NB6MoZyXpxijwbWP58ZT76b8qh +bjFkTwXHrJkPuWDTYFNjK0aR7F9nb3Y8wv02S2ddFkU/Ejp+K7eQC7ctG2Pb +5uC8zz2QG1LMhYgP/sekkdsO3q+0ecKF6yaDvu6zcb5XevBFuQzXu7zHPXUW +Ra73Z0r3lWP+h8Hxgwh+/3KhU/VTLozfFNqyEHnvu5ib155z4UWWhtPumRjP +G3p/9lZy4aPRf9tzhfE9EnPAYR1wofqSht9PIYowEsgz2kv0lxfTIdrIGmF/ +Vn+oxu8HKq4cmYH+IHOyvLCWC5s9nAtKpunkhUPShohXXLgi9655BEeaTa8H +vrk0YD/z0BlYh+zy79zlZY1cELXarxQ2RScccy2TiSYu+ItE25BJOtlB+zb9 +5g0XisjZ8JnI48c/NGW0oJ7uuVVYT9DJiLpS1tF3XGjqEB+J/Usn1kWbY6zb +uXDj3E39N+N0stNt5Un5Di6caxU+K4n8+9Om4z1MLnj1WDU7jdFJZLD4KWBz +YfW0j3LKKJ2wh9cmXOVy4ecq16PcETqR4IYW7uFzgVu08K0ycoi5DFv/Axc8 +cmq0fYbppO3YIkn6Ry68MjC8mjVEJ4OfJl06P3Gh7Gb0RPcgnbDKVt0r/oLx +6c3110JOPxT378I3Lizelco/NEAnzWpyfh7dXHBe6ONc3E8nCmUlrOU/uHDZ +dax1uI9OnKo9t834xQVJbe+t65ClnRI+t/eg/7WmsE//wfUe6pzO/c2F7wHp +vuQ3nSwOjVE61ceFjRpHB2ciMy6mNtsP4DywVjpmQy+dpEhfiFo0xAVjiFh4 +sYdO6ubG2Y0McyH4dyW8/UUngv2Kao2jXLjbV71rHrKt+w6h9HEulPQnirv+ +pJN/kXo/AydwfxXN8ps/6KSUfv6r1RQX5O7G+Qm+Y/5yh7rkp9EfHhSrLES+ +n/NmuHcGD+R8Mzm7u+lkXmbM3GphHpwfd7mZ10UnIjrR/10X4YHnrRbPnm90 +YrVp3v6A2TwIC6LUVyCL3srJMxblgfJjxvDRr3TibTHYP0+cB+fC2urLv9BJ +YFvcpm4aD3ji7ncmPtPJU7Hzj55TPHgcmX7KBLkyZ57CFQke5Mtl74j4RCd5 +/TdSds/lgcdQgHn9RzqZSvJcsE6KBzes/iynIf89E1BESfNgj8FKJYdOOilS +mrnlswyuP2OFZNIHOlFS2zpZJseD6Vc/RVkCOjmut6PkogIPtJ97z1ZETrRJ +O+6txINOWqLoTj6dHLr3yHKNCg9Cu0Ml7vHoBALXKour8qDqtLJiNxfr4YjJ +nM6FPNj7N1hLC/mC7K7xEjUe+F2ONT3Mwf/fqh6LWcKD5ADHbSVsOrmWpyrs +pc6D5c/fnhxlYbyX1Muv1sD1C2ekGSL/2mxlLKrFg4KQrppwJp2sFXq8X7Cc +Bzusw/tqOugk2ejK/WIdHihYNy4URa660/k7egUPYvJeudm+p5ON56vNPVfx +IPr20atX2ulk/o9Lmav0eCDi0vrufRudrIjpYIiu5YHSNE9aHnnRG5EowX94 +36ZkL893GP9+c1rJOh7c+TWZn9lKJxVb/92MMeTBhwTJf99asJ6dVdZ6GfFg +/FuLsybyzrPCgtUmPMhYaFB46C2d7FF4dkXMjAeFQfaSJW/opNv3umOnOQ/Y +YvTjo810YtnFVC615IGGXNAHQ+TY9TuH46x5QN6G255tQj12PWJ6b+TBLy89 +qG2kk7ei6Q1rN/OgeTxhrRjyjU7TOrotD7pbE4rtXuP+PtfffrbjwYD06tVX +G+jk2eMXnyscMF5/QyuY9XRSTLMQvuzIA8XCPeaKyDbuq3T3OGE8/Adad76i +E/8Ibz9DFx7ouKnuzqpDvaswH8x148H9gt8T32vppGtm8WS3O+oxdccNbWTR +ds9tVdt4UO/qvy6ohk4up/fWXNvBg/8k53eWVdPJA4Wqdfu9MH9/t8dOvKST +c3URz8y8Mb4bTfVNkV/Nr7CU28WDp9rkVyShk903WB9/+/Jggse99xqwvr30 +o+r28KA26rI3A3kk3Fs/bR8PnH0EC52q6KRG33M4yB/3T6/pTqmkk21qWpWb +9vMgM8ismP8Cf6fsrqse5MFBSddzC5HDkmODRw/xID1/hsve53Qic9dgz9sj +PGCcNNXOf0YnC2VnemcHoX7uzxfve0onc64U7z19jAeqx07/0kOW2vUs2OkE +D8powe9CKjD/6vE3NE/yIDFr5ouqcjpZcC2wRiiUB9TRhfkzkU9X942yT/Eg +ML8lfWMZneiof19fGMYDl/NUyqVSOtmewbsYHc6DgOXcpLYndFIfHfrN6xwP +bD7oJcsi76ddsVkbwYNvzUqpO0pQ76+HCXWBB5raidmZxXSiucHW7FsUDzbr +JT7pKqKTTvH6phcxPLCVVWrQQn69aNL3WhwPUmkrPx4pRD+a8Vv0QDze37pl +svQx+lXBjHKLBB60TQ0rTzyik++qkScUr6A+92ZZmCKnfDq+fjCRB8fLOQcv +PKSTVXPoc5uSeHBrSXJaYwHqw5U5eDcZ66e7o0UC+cAJ+U+hKTxQW5U6xyUf +/djuLHvrTdTj+q8Wtx7g93tPftRM5UGJUWFk5306Obvw7R/h2zzgBPx7vRiZ +qm6k89IxfhNvpALy6OSSz6t1JRk8eLVYZdfjXDoJSpQ+dPEuD96p/H4ylIP6 +yXxT6JuF+VM1ohsgJ3p/mDLM4UH8TnG/8Gw6+fyj2WN+Hg9Wz3dpqM1C/Ynx +Sc99HlgeV9IWR9bNLl1dl8+DRc92Xne4RyfllcMltx/iegoqIsl3cf3UEOMT +j3mQ2+x6gptJJ1nTz97bF/EgSUysdwHy76pjIeolmF9RPb89GXSypZ2nPqMU +/VOI1f3gDvKGNV/YZTwo0urf35dOJ7L75+cXVaDfkXNDa5B7Hj8Mj3vGg5yR +6HOnbmO9tAbs8n3BA/85M6VepuF5h7Id1lehP2sO5M1GXlOtsVGa8KD8prOF +bSqdCJGHNr9f8sAkXuNz4i3UQ8hhz/oa1JfhkQusmzivnJl3OqOOB6xOdW1l +ZItw3+yQeuwPxQ6cXTfoJDv1Nnfra/Snnq7YvBTsJ6PTysubeOBW32P8+zqu +f+H1wVlvePDwlPfYauQEztGGD2/RPyzMykKS6aRjmbB2RSsPFrslnIRr2L8N +r2YktvHgQL+1ySzkhQW6i/a/50GwTYC4TRKdzP2086Elkwdad0Y5V65ivV+4 +ZqHCRn9e+vshMxH7ldhw9yiHB+6KdlFKyHuvJ956x+MBv1zKd9cVOrnq9sgl +X8CD7WvNLPMu47w1IrXgQicP5rx7r/E7gU7kLLyHvT5hv6t+I6WHvKLk43v9 +Lxg/Sy3h0Euo/z36tfO+4X5JPUMQjxzs9qKniwd53yV7ZiGfqG59+eo7D0zD +U7ptLtKJatpMZsZPzO/V8O7EODrhu7kOhPbwQMWz4Rcrlk7sK90XuPzG/q8Q +OKSMTHxEnHX7cL9ZIUK7Y9BPrZxuiQ2gP2/rnPcgmk5muct1fxlE/3C+t6wv +Cu9n+s6sapgHkrq15muR+b+cCm6M8gCWmPmcvkAnM78PqBwdx/2PyUdWR9KJ +eaBfht0ED9TdbPNFkd2+bF2+bIoHI2Icpn0E6kU/+5XwNA++NFTNTj5PJ3aq +3w4IZvBBr3XSgHeOTvrFDihXCPPBccfVowuR4cFD/lURPjy6f6Zw31nUS96v +7IOz+fB6iPQ/DKcT0+jGMxtF+WAX6v7f0Bmc/+ZG7lQT54NSsOU5A+RP8/q2 +/KPx4bt6ZMvZMDr5ofVmE4fiA7yWWVR/mk7Ude5ufSLBhzc3J05SyD0Zensv +z+WDbMfK906n0K93escESPFB+GnF6luhdLJV9nWxlTSud/5yyscQOjm/1qtX +VZYPu46UTi9FXtWcvmpSjg+8Ko0DB0/SyVKTdZEsBT5oFvzilwSj3166+7FY +iQ/qJ/46/j1BJ3rGXTYJKnxI2ubSZIo857JCtb8qH+JTJjZGH8d+pn/SymoR +Hyz29zS+OYbn957drroY7y+l7jgfuVo96/DkEj5EtjzgbTuK/fSRthxbnQ+f ++ScCMoPoZLN4blOJBh9iQuOmugNx/oj0uHhZiw+Crq/XdJBLDll47NfmQ6P3 +hRXHj6AeJSJXbtDF86nvb31+mE4MSxxk1FbyoeVk8jFhZF5Ts+j0Kj50XJup +vOkQnZzac2YWT48PO589eX35IM6vM4Uly9fyoWlZXijzAJ20Cu9bmqTPB/MF +Al1l5Oa4rTaHDfjgLNj6w3c/zvf7XE7ZrOdD1l3R3AcBdKJ1dka5ujEfih5N ++fX7o7/V50zONOXDFrOVuvrI/BdRWz+a8cH71t3xM35Yz9SN4hcWfOgZ39JQ +t49OWoYsFt604sO3O4apdOQH3Zm3jm/gQ0SzT5DTXjr5UmapsnUTHxaQartb +e1B/AdIlOjZ8GHrmqf1pN563uMOeZseHuKmVc5chPx7P/tttz4fLDcbjh3yx +Hju2F9Vu4cO5HRHfSnfh/H9hOjhzKx82//3XMelDJ+LxZ63POPOh/HNhowVy +ifIdte2uGG/XGzVx3vi9VyZd350PxSlPyLuddPLh6CZh6W18COwSqZZDbvbg +CQ9s58OpyJj6nV50ktl7Ym6LJx9mlhi/y/HE+aqQ0izYyYerJUs7e3eg/uH8 +1lgfPnyqN+nXQ3bYZBG515cPx1fGzjm9nU6WXP5XbbGHD4tXCS+q2UYnvkZ5 +Egv38eEt7YGpOHLE6Zf7/vnxIXrGWV9HD/TvR2ZveAF80N8aEXfDnU4KdGcb +PT2A9WlRUtrphvERW/Xs+iE+PJWW+LYU2fjaXatjR/igQL8ud8gV6y0qlu8Y +xIdOvw1bSl2wXmwjw3SP8SHt0KL4SWc6KfxJdKgTfKB7L222QM4UdH//GYzf +h2+VvOiE77u33oUNIXyYkMxxb9uK78ErJ6NyTvEhyFU1Wx459ZPS3sgwPqxN +IsPejjiPjI057QrHeIlHbc7bgvP6Fkt703N8yJ4+fO+PA85PCy22qkTw4Utp +2Iz/kPkfc3ZPRvKh7cgjnzP26H+zJs5zo/jQf1Sovs6OTg4zvIoqYvgwa+aJ +FRTy3jbB9+txfHjoQ0t3tsX35mjW8uPxfOC0E4k0G5xHWNZhTgl8uHI7+cKX +zdivDAY5K6/woVo4dloTmfto0ELyKup7w62woE3oNwUl5b+T+BBb2DD9dCPO +u6TJ4E0yHwrPSUUJIbsFj73OT+HDpekQyU0b6OTRHu19cTf5QA5NpF+xphNt +s0qafyofxqRSVrKt8D3tq0s23EY/WG3bsABZh5N0bukdPiySUvDdZ0knQ63l +9rMy+UAbnRZ6bIHze0i8xte7fPBZPJU1Yo7vTxlLiZosPmz7KGlrjHzM1kLo +bg4fdI8YjF4wo5N3G/uFzuXxYYN8SM4bU9TTsjK69wM+/FZt9pBGtgzUWWRS +wIey5lVzPU3wvbqnYIPKI/TvXQXNWcaY38elwVOP+WClrh/fY0QnTUW7SvlF +6G8+HQ56yHHzxv49L+HDqGuE7On1OI84fHdOLcV42Zl9qTHE98Levmeh5Vi/ +FxklNGSzzZuWbXvKB7brzygnAzr5eccle91zPoiPtHulrqMTtdo0bflK3O9x +o8EXfTqpVRgkY1V8UH39RkELOU3Mexeb8MEsjv8v6D98b9V1SVZU80Fn3UjX +s7X4fk+82JRSy4cqJYV2YeT8V6VXg1/xoeHUhprNazBeHva+bg188LwdVn5V +D/v7r6OW/zXyIaDh+WPuatTPTZ0Vss18kLEUKliEvFV6lcboG8yfm11BwCo6 +of3YocNq4UPi5juFxSvpZDVcMy1/xwe53SMVf1fQyeS7/3amtPPhwy/HOnPk +De0QF9zBh30aRR1xuugPcvyXbiw+hO6W+tmmg3rWeCyiz+HDz6/BworIvNL/ +XOR4fCgYEKj4atPJ7SytkjE+xrPD0iR/OZ20M7YpcD7w4W9Hvu+gFs67X85f +ffqRD78M58UbIo/lPpS+9ZkPNx2CKyI06cR6p9W90K98iPLgfm/SQL9YvNpk +exfW+10D5fnIj+fyug2/80E0KMVlxzKcp7Oe31L6yYeauX2JWeqo9wXrPad+ +oZ4aLdp6luK84Oy0/EMvH5Z8TZRZg7zffUIE/vDhTB7HK2wJnVzMDP51px/7 +g7dCft1iOjkyDz6cHeRDq7PTBIU8cmPgg88wH6RbIhxc1egk+IfrL/NRjIdc +fm76IjopU6yfvXicD/tDG2Z2L6ST5+pimrMm+HDEmOeri6w1kL+ja5IPcx99 +rg9WxfNfPZZa/w/rad4HXbIA/T1OsStvhgDmlzeniiL7ne40ihMWAPX1Ic1R +Bd8PFul394sIYOrL2fCbytjfRYuk7GYLYGCG1egnJdR34nSSjqgAxiLHgzSR +9Ta4KEuKC7A/3h4IUsR6Fdwr6acJIOTXihPPFfA9xA1zbacEULereGomMt3V +X7RUQgC5AQtjbeXpxNtZvu76XAG8tguTS5bDeutdmXBSSgC9rnX5Alk66dM2 +3L1NWgDPWsfMlyJHBDCs1ssKQHu27IdDMujnkb9Wq8gLYI35grByaewXF2x0 +ZygKQLhVUnUGsv1tXf3PSgKI+vvz1cb5WG/63ra1KgJQpR4GJkrhPCBUdjBH +VQBmTq6q3Hl0EuDimxazSAAL5LraFiFfiZFhBiwWgFfu9tj9c3F+8glTtlsq +gJu2ZRZPJPG9KX4pUHeZAK47DQtNSeB8uDHg3VxNAUzPkau1QvaxmG0ypCWA +mlLluAQG1s9spwqmtgBG8mY5syg6+br2r8lTXTyfdstCVeRzqhffpa4UwN3L +IYN+dLy/y7vAM6sF8FBR5HURDeed6QvKPmsE0KB86O5fcfT/ukGmxX8COPW5 +LNwC2eHR4ttL1wnAtUzgHS+G/SXA6JCYoQAGv32y6hClE6VTCnY96wXQU1mt +o4Jsk31Dv8VYACoXwxX3zcF45S9YUWwqgBO3ZOmFs1HvVQprk80F0KYfN2N8 +Fp1MZ41an7QUgHUJc8wMuchVc892awHIu00OxYngfp9KE4w3CsAz8O9Q+0w6 +meJ3v1q4WQDHHFrHlJADbGTEZ9niesZhM/YK04mzwqrt3+0wXvEz6I+F8L18 +9mBFk4MAzkZ7KI7NoBMDUYtFjx0xn6ejdcyQe+fH3rjqJAC/iliruGka+TBQ +rnTCRQCH4nZ6t/+jkYrj3gUebgKQMRUNV0K+ttVgk5GHAA6qR2TumaIRzScd +/arbBZCR0FL/aJJGkiNW5ol4CqCxpqd/dIJG9F7s2f/dSwA20twFZsg/RJcZ +NHsL4Nq7645xf2mE/+m4TOEuAUxaL4puH6eRgC6Ff0m7BbC69hRRQj50d/dg +8F4BtKfcndozRiNl7Jcj2/0E8ELyuvHjURqZfhk3yzRAAElhLhFjIzSS/lFi +4eIDGC/tj01myG0rFm8UPSSAlYfXyF0cppH+KuOwnsMCELrq7Pd+iEb25Wyq +ag0UgNS39S+UkSNP5lGlRwVQWd4rtW+QRjKuZPvdPC4AI4+9hwsHaOTfpdUt +YcECkJTPeTveTyNzVr+y2BUiALZ1wUoLZI3dFnXWpwQwa9XJG/F9NLKApDlp +hWH+NcVmMv/QyN54sd8S4QL4GO4VuAA54JLCtaGzArA7H/zF7zeNqPzZtIlz +HvN1zsmjuJdG2PQtYlWRAsh609820UMjs6TkmHejBNBX5rjFCllm7sXC6BgB +RF8KepfwC38/P3H9QJwAKjKdXNk/aWT7x+cXHeMF0G8x9GEhctdNiFubIIA3 +tU779/+gEY+P5IbiFQE8PRY48eQ7jQwWLimZcVUAQVm2l/9104h9XjjnW5IA +XmV9XboR2fCUJr0pWQD+r/SrE7to5MjfK7aFKQLYtW2jD+8b5t855UbyTfSj +onkiS5B/rNcaCE0VwFHllAeHvtKIw99t7t63BfDy93vnii80Unn7crPVHQEM +n2gSFkY2ZwjZamUKIHBO6BObzzQSqCjNkbwngIT+Tv/kT6hHfZ+gkSwBdEZN +Lur8SCPtS37I8nMEMFe+pXMZMkx+b3yZh/cfd80I6qSR2yplcbkPBFAQmrT7 +xQcaidir7XqpAP2zN2L5bORLu//TPfoI85+tPuYgwHzyFWU8CgUQNhBWf5NP +I7wIS1GTYgEsWxZ16wuPRpw0WkSXPBFAwA2TQG3k9/+S5tPK0K+T79sEc2mk +JPSvdn+5AM4E1mi85KAehz9sZT0VwJbweBoNea2kbFTlcwFYzhXpd2bTyEkf +z7p7lQKYE6rBTWfRyG5Zn7lxIAAn+uSr70wasfr50f/ISwHMVDxVvgrZ549x +q2uNAARj2fmnOzB/z/abG9UJ4NfYqXuv3mO+jkxWq9ULwPjQZLokss8+FXvx +1+hP+UvTt7XTyHnbhd/7GgWwatbfjKw2GgmNFrvEasb6f3M89/c7Grnz3Ni0 +6i32I7ebRfrIm7pip7Na0Z/GfOF8K+az92DTxTYBdAt1tDa30Ej0w/LsoPcC +uNrw65sM8nhM8EUPpgA+38n95/0W78PdFGbKRn3x5ijmv0F/kU4+rc7Fem+h +GQ4308gWE7lYBl8ARa3FXibIZ4753R0WoD5WTl6IbaKR0pbeBn4n+t2G7sL2 +Rqy/3v6Jmk9YX3uPdiojm/uuW5//RQCZn+7M9XuN57nXF331mwCaGAc2FDfQ +iHSV3aeQbgFMmLHOTtbTyJrTE9Y+PwRwv+VjpTXy9iKLZxt/4fnpMf+uvKKR +jfEj/6PoTONqarswXoY6Zx+UqEhCg0iDkAolKlJp0CAkhSiaNahQqRAVoaIM +lTQYGihKad3RYEyhkDpn733kadIoQ5F3vR//P529773Wta513Z+sWvqtHbw2 +v1r/uZZHrjgW1sv24/x8vXNaBfl41D/XfwO47zUXt/jW8EithRbnvyF8X4iR +yqOnPHKjPrii4Xs7rJw9FDIJuTmChD34gftjv0GD1RMeeTpKmV37hc9/uGDR +5Woe4XZ0Lzgx2g5fXK7FCgmPfEqq4vj8aYfv9+591UD2evnnj8N4O6hzXSwO +A48IFwb9MRDhA/Xw+v0nVTwS+W4ztXACH+ykQuZNRS4I7lGeNokPp/yEiVsf +84hKuaflj8l8SFT9IppVySOL1M9H8MX5sCXh8OHeCh6JyHckdVw+3Pl5fWgl +cntayLRCHh8eVG7zi3qE9So56Jk6lQ9xy24OviznkV/XHJsiJPjgVRgVLIN8 +2y/X1GM6H2Lj+sZdy3hEIrm3zmYGH/Rle07ffsgjh0bv2utL82F2YbDcjwc8 +YjBrw8ACWfz73HN3jZCT7229RM3mg8JWPZMzpTzyyuCi5bAcH27N9OY3l/CI +stHAtDZ5PnxaqXlkPvI8NaX2GgU+RM8Mn3vwPvpnxvnyu/P5cGWS3ZPSe/i+ +J86ZKYp80HEpPSCCnBKtmxqhzAezw5kyFsU4/wsWpHks5IPkLZm65CIeMfY6 +n2+7iA+fzWeG0oU84hHSW7NKjQ/txZe1liDnOuX3Kanz4czKnK6gAh6ZHmip +PFWTD5FL9XPJXZwfpZv7f2jxYeFPWw8esrp4+EOBNh+WsP3qjnfQH+1/z3i+ +nA8Om6RGMm6j/vXlj93Twf7ElJGeWzwyp2LSSLouH8J7mLMrkSt8kg/H6vNh +dUvC7qh8PJ+vLdd3NR86r1TovcrjkZ5CuRwnAz5EpR6QkkXeefWIzfq1fNis +kNbvlov7eJM2R30dH1LiNjXeyUF9i018LW3Mh+fah0t+3sR+Pla/9s8E++Or +cmU9ssIW+kjXBj4EpNmcTMjmkd5NzP53Zli/Kb+DPt7gkQkcW9fH5nz4K6/g +oYSs+ueAe64lH26rwE6fLNzvN18EJ1nxYVrEZ8fyTB7ZY5ySEm7DB/XjAXaT +kB/Xxz9x38KHDyej7awzUD+uVWPW9vh9XVO3pl3nEYetEetWOfIh6Z+kS8c1 +9M99fheVnfgwpBTvsRR56WqN79O286G28Fhw+FUemZWp6fZ7Bx/C/vx3su4K +7r9Fuz4Ld/Jh9576K9ORbwbk727Yhe83lC91TucROnnSjzI3Phz92tGYm8Yj +R9TFL93Yw4evpUoDQ5d5pPq9sWmiOx8sxZqlDJHbGnxFQvdjfbV/68Vdwn3T +H/Bsjycfziad3f0+FfdD8qKrVgf5YBWZenYecmH0tGP63nwY3CpJDqSg/57k +eSv78qEg4PdwaTKPBLz09pTwx3qpbVkiitzu2xUwGoDva529z/Iij2wN3XSq +I5APPz5bZ6de4BEnZbHbjcF8WHF6uIM9j/4JlZ8rDvPh0NpJSzSRw2XMZuWG +8cHPMepQaBL635smt/NH+NC/+ADUnMO8dON02dFjfLg4s2qaJPJk371zPSP5 +YON/xG3HWR45H2ORaH+cD0rp2Q9zEtFfP+pPMYrBefimM30oAfXTvzh1yQmc +1ydaPgbIGfN0tGRP8eFIUFLDqXge0fvT+H7CaT5c2L192fszPDJF9u6JvjN8 +OPwl7vI8ZF27JtPWBD5UOc6bdPA0j0ysiJGqO8uHrplyAQ/ieOTv0tKe4iQ+ +eIaFCkWRz7UVN129wIc+do3T5lM8MuPC85q4ZD6o3drTeOkkj9RJLK0LSuXD +ZPVvFl9OIP/weud2mQ8aNR9faCE/MuD0bU7nQ0mDyubwWOx/3USZVVf5cDX3 +3du6GJwXm33mC6/zoecWs0MKeaOKQrxUJh9aVlh37ozG523Z/Xk8iw9FmXMO +5x9Hf092XNmTjX64eQNvJIpHzHtmZ3zIwXlJbsg0Qh61lpOpyUM/en9/dXwk +5tEs9lLRLT4oeo58/BDBIzNr4xdfvcOH5ILzoUrIw6ea6+IKUB+iZ+b6HuOR +syPz/YKL+CBN2mseHeWRO+Kqi/bc48M909O+Ysj18RW91iV8eNN/du6WI9i/ +8PtVax6gvuf0NVwNx/eHHrqyuAznRSU7uiuMR7S64JTMIz74HCxerYP8ZGBX +1MRKPiw3l/4ZGYr7JvnVyYHHfFg7703pq8M8MrbueFo7oN9t5IfMQr6w/fOj +F9V8iFmw3mBvCO6/e1c7Hz7lwyPu6OSiYB758eWQ4s1afJ7L5LdjQehPdrMO +nK9HPRzZk7kRufbTVIh4jvvnyYzAC4FYj5zV871f8uF+grS54BCPxK45eXb7 +az5sWuOhtARZqf4Gz+wNH3TVeSIhAeifZ9sv6jShn1f8FTzx55HdLxvUlN6h +/s3WPp2GXF3w9LVkMx/il77J3+7HIxwLhWPjLXzoeHvnQo4v7sv0KWt6P/Jh +f8KHyCEfnBenRrHWVj6kVVn5GyIbcGv49W18GK2Z7n7aG/MG//rTUj7q/988 +5xYvHkk0sH1wg8b98fKwoyJyJDO9NInlw/y4OfY+B9Efn86qjvjCh8sp4g6P +DvBI04aFn72/Yr+2rNkmhiyhZDvBuZMPofLlrls8cX8oSK407+aDYMvRg9c8 +sJ62YiF6vXyQcjgV2r2fRxq+l9Uu7MP+H/90euX+//vf9fnSA3xYpu93/fg+ +HnE+Lzg1cYgPjZ8sHja480hWhf744DAf5j49+FYOmVT1R9EjfLhk/2Zg3170 +iy/909/8RH/9FiR1fw/mj6dFBY9/8yGwz0X3324eyZ9bue3OGB/GS+N2WSCb +ZhDJ9L980MseOZ3qxiONxp/fx/1D/56dVS50xX8vnZh7WFQAywMTe7SQt6Qn +nNg/UQBF0o/mH9mF8+G47JDjZAHk7lTe9swF+/W25qCpuAD+3H51cSbyfKWN +ASu4Avjteu+d604esf/kfEKJJ4D3be+l7zrzSJ6LX67UVAEMRCzf8XsH3s/Y +pGZRCQFcuPX6hiny7lPB0wclBWDwOKs/aTv+ff7vbbSUAE7NumfI34bn+bW3 +8M1MAXyVHzunhqz70UUKZASguOTo12AnHpENzIoumCUA0WzdtU+38sjll9dF +rskJQLtzcboEctsezzMJ8gLIc7Ib3eGI+WzDSaWjCgLY73jfOc8B5+vrumde +8wVwaP2mJ9/teeRlXH6Ys6IA3hyduWQdsrLpDX1LZQFUes5MTbDDfJhpJ75m +oQCO7zcTa92C/RPJpJcsEoD9x8LDC5Glsh7Uz1HD98017wuwRf9LSazkqeP3 +X5LZDzbof6HKVWMaAoDbM4U85KsFF1/3aAkg7aHxbidr/F5v/67P2gJYpXDj +S7YV5qPyN1KvlgvAdd2yA4ObeeSn5OtNlTp4vuMDQwbIv8bbE+7oCuCASfux +05Y8ssxJm39FXwCLO39O/WDBI51Dw2sSVgtgYePaDCXkyVM9848aCGCHS4mO +nznOl9OZBT5rBSAyYt9QuQnzg39trss6AXj8mH+Ai0xc/FZbGwugoEaW62jG +I68nxHxeayrA+de7nbUR85VDYNzSjQJos4226d/AI6e8NUwXbBLAjeYfv1Yj +x792mCZlIQCrovPZp0x5ZMTIXjhhswDOmzjaNZvwiKPxz7phKzzviNFkReTL +UsIHX2wE0KS85ZGPMd7P88JLmrcIYN/KuICK9TySNEME6uwF8C2+Q4ODnPNw +3YeHjvj8M/t67dfhvkow+5vnJIDbF3kFmUY8QulfXpq2XQArp7wP6FvLI88d +U/zOOAuAcoBVq5EXTtN4fMRFAOFvX00+ZYj5JW7iLB9XAXT9N/buvQH2szon +YtduAbz+ZXFzAfLo8cYRm70COOpRGeqzBve7TlbI+n0CuJVmaVuxGu8r+mac +FR44D0NjSzjI7zt3Z6scEMDk5udch1W4/y/qWct6CeBSdml3pj76xXizGNcH +56G2qqFPD/vfXPJq1FcAPelfSlcjt95ruNbrL4CIMwszTumi3qPfHeMfEsDu +X9EJzStxH/ZKHGwMEsCTDX+OKiIXcQ/texKC+mtN9PfVwfd9XOldEiqAwFmr +PSpXYJ41MIzOCRdA5F6R3Vxk4Ue1m5eOCmCaEt/FcTmPSA5oN5+OEMDVsncu +N5bxiEu0vNTRKAHUxNFuA9o8Ytib5ewbLYCZYxM9DJDXu2eXuMUKYIm/gf/p +pTzyce/W2fYnBVBnE3/0gxaP2DoYxm+IE0DteH+8MnJ93A2e/hkBfBHsv+6v +iflzYMulJQmoz23DJVUamAcuLVuucBbn4U3Sax4y519eq2SSAJbmre9yUsf7 +qar0uYkXBDDHbDInZwneR+pbtvy4iPWb+WnxsBqPfHmjp9SVgn4R8NjKCHnB +m9F/ny8JwOJZcXDCYh55d+hxd0OaADaElWa2LuKRfXLBbPUVAWzuq3+jiuwQ +kNxZck0AbFynSJAq7qPiz2O5GViPezI6Txaifgct56RnCWBZg62XBLLrfetN +idkC8F9/OcdZBffRisroqBwB8IJ6hfnKWH/jhFeBeQLoe2mu/FMJ5+flDEWP +W3j+u/f3m/yfFxrF7rgjgJBjCwuSFHkkLSJqxKpAAItysn7yF/DI4fc6h9YX +CcDmtKqJOnIlJ2Bc554ANJJKLoTOx/l6npG6uEQAv+Zv+lo37//5e5fh3AcC +mJLxZfVM5EOTlgxKlgmgN/DERTcFzIvyZfcmPRJA52TNgYK5PDLgWhT5q0IA +WeWtVn/kcb/+knbufYx6/3GmaBPy/OmVpjQIoFtpnXTqHB5JvX1lzftqAbzM +/X3kixzun3s31z57KgCTrpL/tJFjLhnZVtYKwNg6wCFiNo8cVTzrV1QvgHQj +7bpXs7C/kl5Xsp+jXyoP6sshT98+ueXSSwFkuhUX7ZflkTVx+goJr9Ffd/mr +lcpg/mipCYh6IwCt2KW5E5A18oXvgpoEILWqb6GNNI+UO0cYH3iH9enIz786 +E/3D2o64NKO/9+3W6pmB+2XrUgu7DwJ4WzmrTA85pfMau/ET6qnshfEJKR7p +0Hh4cs1n/L6Nh9++m84jp8MPrdJuR72+m793AfLQWWZURSCA00+f/vKRxPc9 +Gnsmx+DfH3M9VymB+T9gQbaEUABPvX+oUcg/egVnJnUIQPZXzLOt01C/ptbH +f3/Fv4/led6cyiPdGVNP9HUKQCkibsrwFLwvHB5JEXYLYKLl+D0j5Jxz70s+ +9gqgzN7TOZHHI59179Ov+wTgLfqC00bxyPJ+hTlPBwQQ/2he2WJkhp3rVjYk +AL9OzwMhXPz7cf/Su9/RL4Zz59Vy8D47V0L2xg/sj8mnD1LILXPiTlz6hf5t +/Pe8qzieR/zixMRRAbhtm2FbIIb3RaVrCdF/BCDeLyf1ZzKPbL/bpxw6jnr2 +ntGyCdn7tY67rggNnmv+XEmdhPfR3nrDZaI0fK59v69jIt6/XD8qaEygwS3g +yvLlyPXS7ZMXTaRhwe0tE6Mm8IhIcMaw4iQaJn360dwgyiMhN4T/zZ1Mg4X7 +qdvyyLlxEsJZYjTolIvFHBDhkQTHt19miNMgbui/q+wfRda98/k2jUMDd2e9 +gRgyP6vnD5dLw70Izjz7cYocEmrNmEzRcFJixcSsvxSJyZm3VIRHw8+gTd39 +fyiiNqvUbgw5W97svQGy2IXAYz+m0LDRW6v6zBhFfjZuKxycSsONpvGiT6MU +mZhX81/vNBp23i+9oYrcki27sFOChoAjdpeDflPkrOqXg0JJGmpTPiQ9/UWR +qY0/H/Kn02DitS5hOnJsiTOvVYqG6fvPndn1kyJvhIvcm2fQsGLwafzdHxRZ +2TVW2ziThpHAz+fGRijSxrprvJKmwce5JXUT8hTNK+n1MjSISJVkpn6nSMY/ +V8mnsjRIiQQWdAxTRLdBLb5qFn7fOemq5ciViaXTHs2mYbnWpcaoIYoUr2tJ +LZWjwc90rOPNIEWav/5TLZ5Dg6qh4fhc5Be+dVV35LGeMa6zvQYoMsptcM6b +SwMd5ab7qJ8i16Qfi2Qr0JCYZeTEQd5g6HXn+jwantr8DXfso4jJUh2X9Pk0 +nPiZkpX9jSKfXDfJpi6goVN06quhXnyf38uW84o0vGh1+WWEfGz2rKuJSjTY +fzujeraHIo4ahw6cVqZBmH1hW3s3RYbkEgxPqOB5vYISlyDfTDCZfXwhcuHS +utAuikSOvh49qkqD3qcakWedFOm8WcGGLqJhjYO2oQzy5Scz3wYtpmEgMejY +3v8o4hoZ+MxfjYZPg+eq732liG3h5FrvJTSUdB0XF0V+FeL9zFOdBlHW3Ma6 +gyL7/q14565Bw/kNnelXv1Ak5PfuL26aqMfo7d09QopIbpT8s1OLho8TM1ev +Qhbx/SG3fSkNhisqzp5iKaLX4G/kqI3njcz72sJQJF5d1nvLMhpS7D2MVJAv +xe7NsFpOw0350SuHaIpcWGTVar4Cn2ey80+1gCLe6uvmbNShIUQ/yUUSOd58 +aLfxShpy9yU/deFThPc3tnitLjqynueSu+2on2Q58TV6NITJT0kZa6OIVI/2 +Hj19nJdjRyeaI18PfVq7YhXq43nloUufKfLy410t7dVYb6/nX7+2UmTpH98M +jTU0nHmX5ayDvMr4gayaAQ0xB8yaoz9RxKBFNGWhIb7/WrnN24/49znH5yit +xfO2jTTMR95FL8qdZ4R6Sfpj7fsB5/O6yir5dTRUqL1+97iFIsJLW9/NWk9D ++Mz926cg72xRC5Q2pmF95XPh9maKHEzZN0fKhAbO2e+++e8p8owpeD4NN47y +6Nfxn+8oslhN/hhvAw3vDmSc24BcN6K6irORBker+SrJbykS7lb6Z5IZDYpS ++yqFTagnm8Fa0U00XFXyd1yGvLTcIGUceeuA0XBkI0U+L6jyHjOn4VnH+/Nv +3lDkm1uVxS8LGq75q+soIK/yS106YknDRdGNrV4NFAmLmS4/tJkG04nKxyte +U2TB6Mtp/VY0pH15ok4hy53R5/Ra03BghlKr0yvUW649p8uGhry/xqdzX1KE +O19H4qstDeumqxj8eEGReRsnzRVuocGgsnbIBDnZqVObtqOhxUvl9oXnFHFa +6ru53R77l2S8j31GEWOp6X6tDjTMS52nrI38boXj5Q+ONAR/K/sSUU8RL/uO +5++3ot9MkMhrqEP/Ux8SeetEw1/jBT5zke/97TR8s40G2QX9K71qKfI8qCz6 +1XYaVDiHJ1TUUOTP5Q1vnu+g4cL+ikYu8hz5mwvqndEfCsoynZ5SZJLYz7Ca +nahfc9+g3CcUmblj7edqF3z/bb7Fj2p8v/j+9bCLBrJWTMUU+VHlrqJKVxo2 +B3eIXCQUsSlcrPLIDf3tcbiABYpwrm3JfLibhpexz4g2cnieuHLpHhper3mZ +HVlFEc8Jk+7e20uDxpboM28e43w/qDIockf9rhgIVEBuzr/2/u4+Gg7ZT3fz +rqSI+TOVQ7f30/B93lfrygqK/NZYNSvfg4b7Yj7reMjDt8ef5njSsOxwns72 +R1if+O/B2QdoeC+8qJ5fjvU867Y06yD2o3zZwl9lFNHSrh647oV+sT9KcSNy +nKhv2VVvGrbsilyQ8pAiJbxnJ9J9aPCX0FLqeECRD3WlOy770tD+X7zqCuTj +Y326qX407HW6rBldSpHXfaZzkv1p+NNop/e2hCIdt9smXQjA31dXmCxAbk7v +Gjl3iIZXlxvt/O5TZGTN4W+JgTTMfZHkDvcoYjTldU98EA3RT8ZDpyE3ZoQP +ng6mYfKwTNLOYopoxwz8PRVCw4+Xn27dKaKIuPWk6ScP05D+eEP9WCH2o996 +SWwo+pfezq/myNf22FpGh9Ggfkeek1ZAkZTL6YFR4TRMPR2j3nWXIi5hJjci +jtCgtv6inR7yUH3op6NHaVhsanH05B18XulH6SPH0L8m5ue33EZ9St/cFhaB +89V356MKcnpr7Y3DkTSwQY5U0C2K7O6KHAmOokGOd9OwJh/f/75lc9BxGjoU +LgXNQH4YPfnuoWgapilqFe7OQ71Upc8IiEE/ivXsKc5Ff+vZFOkXi374aIOa +KLJH2P3vPido+E+77qBNDs7r86e+3idp+OD8X+H1m+jP1xIHD56iIe5O/o++ +bIq4BaqFHYjD852fYmSIHLZJhfI8jfs8QiI+4QZFKrqqM/afwfd3FLe2ZaH+ +bjka7oun4c2K4SXqyE0XhOzeBPx++m1EeCb2x2lN4p5E3HdONi0vMihy8dY+ +o91n8X0SB7XkkHOlJo66nkM/DFY843mdItFFmo92JdGgJBLcVXaNIpuMnKJc +ztMwc667OQc5/Y6L9c4LNOSs7b+79Sr6dbO1svNF9N9PM2bmXkE/ddwpsiOZ +hgfOb4/8SKdIXutk4bYU7M9qtU5TZCpW+MoplYZ/X+Uck9NwvttmV229hOd9 +e6Puy2WKRClklzpexvP41OivQFaWNChxSKPBRetIYfQl1N+kFY/s0/8/jy9U +36VSxE8krM7uCu6TLwVZish7Rua2brlKQ+/jRfMDUnAf+937bnuNht0xuhnV +yXhePVra9jrmwVutitORaXELQ5sMGo5kTc9zvYj9MBfxsc7E+gs+axVdwH4m +CG5YZdHg/U7v0b/zFOmyPsFsvkHDuUHVjdbIP8l+lc3ZNBy7k9dyLYkiJzdK ++lvepGEo+JFH3zmK2AtfP7HIwf3z1PmvAbJSw8Aci1wa5oidvZhwliKppwbD +zfMwjxXZaLYnon/UiAg35dMAKzNfqCNvNFhsu+kW6p8X6XkkgSJHu37Umt3G +/Z3ZS72Kp8iV3o51ZndomOL1tWAO8kr5vJqNdzHf8r0cDp6hyI3COquNBTTI +e0eMPzpNkfPmnwUbCtHf4ubeopA7eedCNhShH+VtcNoeR5Hpvd4yG4ppiDQY +5dw6RZGBe7MrTe9hfqnQrfx9Ep+3INHD9D4NCcnj/puQl7dekDctocHIyErt +8gmcD5/9H0xK0f80F3Z0xlKk/duzSyYPsH/NsVl6yL9X3XczeUiDWa7X7lMx +FDkRr6RtUkZDwaxW5Y/R6O9aD8VNymmwufq6SxXZKSajw/gR5sP8DcUhxymy +w2vqC+MKGmyLTMLro7AeCpdKjStp4C+s3yiLHFA6K8/4MQ11ka9l9kdi3kwo +zzSuQj9ctrXzQQT6502DLGOgobFwT6UYcv+vpnxjQsN276HzjscoUmbpVmZc +jXoRTPDKOUqRJ3sNGoyf0LAp7OLGH0fQbzIju42fYr68l6OyAdlfdnyqSQ3u +mz96Yinh6G9XXuiZ1NIw+sq8qyMM93Xw7gMmdTR4XPrcoIMs/uW/LJN6vG+8 +634QG4rzHVrMmjzD/DEUktl8mCKh17oXmT7Hfh88nqiCPKZaHGz6goaMYu6x +oBDcv8dlXpq+RP9dNdWvNhj1KxheuOEV/j48fq80stqnA3EbXuP7uk7scA+i +/v//KQ1vaKCh/teYfWkgRZKiu/ZsfEPDb4Uem8nIUbMMPm9spGFlk521wyH8 +fY7EdrMmGs7G6NjcDMD8d+GmwOwt1rvgrN2IP/qZX7TXpneYR566bTNFfuo3 +T8T8PQ2uq267Jfthf86rp5s307Dt5EGvDl+KjO8tWWPRgveV+VmhOsgn/G91 +WHzAfodZxcX6UMS5LyfZ8iP6+RS/9GZvity9t81y8ycaJpqLFakgi7yyoaxa +abC7JVkf5EWRzGHZN1afMf9kJdK1B1Gv4uvTrdtoyM+L+CON3P26z9umHfWz +TCi37wBFCo5xzGz5uI9Ky1Y/8MT50Py5aIuAhhl5/1zEkGM0Rabb0TRMiHwY +4+hBEdIUIGLPYP67L7iTs58ig9Pif9izOP9lIR9+7KPIrLzKYQchnm9yxKSN +yElPMn46fqHhqMTI8lR3iqjuFp/o1IHzbfXJ/b+9FFG4Fya97SvuE90labrI +6UeeaG7/D/e5UXfjyT0UOWxjab2jE/XKSFMfd2O+D60Ldu7C/Hburuki5JT5 +827u7Mb99KQo+rAbRTRXS3126cH8NKBQ88wV7xfHnsi69qL/J/4Um41c0Dlp +h9s3vK9Ir7L03IX5xX/05u4+GqJGOy6Uu2C+9Ar7uacf9VU62s5F7tlqbeM+ +gHqoCFHbvpMie3uPFu0bpKEv1jn0ljPq7XeQrMcQ+kNc3ovRHZhncx/Feg7j +PjTcoWCBXH3cb/TAd9xncwID07dTpD41K9hrBPWfOvSqZxvmr7Tpo94/0K/U +WlTXIKv1UjG+P2n4skkhNt4J8831g9L+v2hY5PPiS9tWvD9KC+8G/MY8Mq11 +gwZyx9RNmwNH8T6WaXn7qCPm76Rvw0FjNFRfXyDV4ID79MOtzJA/NLRFOIUr +IGeX7XYM/UuDb/nAVx97ivynLCYVPk6DWE2XPdhR5LvMhuYj//D+LmtcK4G8 +/bDs9WMiDLSp/dF13YL7V9zKL1KUgV3BM+8W2VLE6p+c2fEJDJz2P6Msivym +ylI1ZiID6y+6XrO1oYisXO3UE5OQHS/IZVnj98nRoycnMxCspXR5yIoiZhnJ +/XFiDLxLlZAzRj4ydaT7jDgD7uJOVy9sxvuu6fNvCRwGZH+MKX6xpEihsf/P +s1wGpreN3lqB/P3XoPh5ioET2vY6sRaYX6P2zr/IYyDSR/xJszlFTPfNWZsy +hQEX3kzbhcjdThPdL01lwDMylA3ehOcddj2fNo2BblPd4Hozirgfa6q7IsGA +6XvLKbOQV73Sn3BdkoHhG+XZHhvx/njhhknmdAbiNY6uLd+AefD7kcQbUgwc +7Epp4yJfb5QS3JzBgKGN2JHtphSJePNoZd5MBipaX8y9bYL7wjs6+ZY0vl/0 +S/WYMeap041jd2QYUDew9bBEzlK87lEoy0CjmNT0q+sp0hCg2F48iwGpDyqV +39bh/NkdcSqZjf1YGO9piKy2Qu7zAzkGlvqazD5rhHm2JHlv+RwGeIutXgrW +ot9vnzdSIY/9ep0XsRQ5Yu3ShKq5WI9mu5VRhlhfvYEl1QoMqD2y6m8yQL+1 +WvT26TwGPn+/dEsRuW7Hvoi6+Qw8Htf2OLQG79ur/ZY/X8DAXNvZi2pWU+Tq +jQX9LxXx+e5W3TORnV0KixuUGHhW0ljgvooik7s8wpuUGfhYdj3ogT5F7LQ4 +lu9VGJDseWQojjzB9bfSh4UM9NYsoJz0MA9d7pjQqsrAP3j3IU8X9TnxSFfb +Ivwex8bc3yspslbdq0WwmIGzIrJh5sj9RnovWTUG9uvnWqXroB4Kztd1LGHA +PCxSpXcFRfLN3Z53qjOgYpA1vgY5p3vHux4NBh6M8VoTlqNflWl+6dNk4K/W +44f8ZTjvnWl/BrXw/XalqVrId8vK5owsZSCbGQ6N1KZI6zfX9b+0sR92h12a +lqK+ZLp9x5Zh/xXXmyoiL1oSlj2+nIGXz200D2mhPxsdo0V1GAh8emN2jSbe +rze+VZq8koGMuFXi0sivPnJ8OLoMVKXM/OmuQZGamHnA02NAxF2764E6RRL+ +tslK6DMg8DnXLo6cum1HiNQqBv7T1H7vtATr+ZfHl17NQPi8Ga/z1fB5/ZTl +7DUMrKjQeTa6GP1l2ZVqeQMG7h65VGuBfH/dC4P5hgxc46+qvbKIImdvyVQr +rWXg6g75+m+qqO+93y1UjXA+fda8NETeP6mgXW0dA5PPpzWdXUiRUZu0YM31 +DPwxWtlKq1AktvqlzDJjBpx/TOvQRn7QqlClY8KAmIby0HFl/P7CRC99U5xf +1yDR90pYf1sJRYMNDBygJsxQQV4noSUw2oj6z32+MFiRIi2Gg1kmZugnxS/X +1C9AvznX5G22iYEL2eIOs5BlT/gZWZojjx3x9ZxPEcbq52wbC6yP9pL4R/Mo +YnKsftTOkoHcJ9Nv85DnpN9lt27G8y1e+spZgSJ94xVNO6wY2MHE9t+di/nJ +vq5+lzUDa/dJSf+Tp8jLmz61e2wYcFvevMYGudL+6/P9tgw41rzelzmHImem +QfPBLQy0Xxw7PyRHkRWlo52+dqi/+S7VxsjM6/kTA+0ZeMp+H7w4myLed92U +Dztgf7eC8tdZFNER/W15xBH1NVq5TRf5u/m3I5FbGQgy+3bulCzmQauc+zFO +qMcK6xefZCjCt/wweGobA6lNwslLkOMu6+kmbGdAfnK+8RFpnD/jxOikHajP +t9eiX8/EfbT57odkZwbsHtTUKiAfuZOwLG0nAwvU5Si/GRRZnF128ZoLAw5F +12yqpfB7jbv+Zu1iQAZsL0shL8t+5JPrykD1+2Vf9kzH+9LePV9vuzFwxnud +dqkk6scy1r1oNwMNk49GiiH/oup7SvZgv+U6mrZKoH8Zzwst34v9Wxiqkj8N +9dD8bGqVO+o1Vy98dCret8LS8p/sYyBLTumdBfJws8jm+v0M7BnT1bg6Bfdx +gsTPlx4MFNQFx/XxKBJUdjev0ZOBlb/5/61FVp160q35AAMfJPzMkiiKbLMI +XdB6EL/v5OLbLBf1FXm2k+/FgHgbJbkCuXbZpwdCb9wnZ2aExHIoEvj8cXyn +D+pRyphuEafIx5ydnt98GZjy7ZLFIuTf1/M3D/kxsPPyzPJQMYoU7ZXX/+nP +wI8LpYteTsb+ifst+ROA87k9PE0eGW6HqogG4vx4uE/zmYR5Z6fbQrEgBjgG +h2JgIvqtf5AmLxj91j77jyRy7C3KUDKEgYElv4J3T8D71PRv9tKHGVi0zmf4 +vijev3X+BciFMmA8XSxgMnKX+bxL88IYKJ4NQ44imKdbq2qUw3FffbgUlPeP +S76uXvlr8REG4p6fH/09ziUhxmHLtY4y0HPwTpQFsgnXM2jFMQYq13RQV/9y +ie6Se1X6EQyUla9J6fvDJZ+/PZBYG4n1d72nZIT82iJov0kU7s8C0/tJY1xi +uai3btNxfN+CHybCUS5Z+i5Cwzoa/UHv6ccVyDevLEm3j2GA8b3jc+I3l2R9 +7JbYHsuA6oZisY+/uESBZx2/6wQD6/SbMhYjX15zTcL9JANK9TyD8J9c8vPT +6bQDpxho8nb9/OoHl1SpFav7xTEQc7shXAG5+v2n2qDTDGiOOyj4jXBJTuKp +feFnsH9fRp5Uf+eSvisrpkXFo79+vus5A/ni/C2PTyQwkLb7qJT7MJdUWtQd +ik9koPznnscPhvD7mJXa58/ifp7tdoCDXPov5EfqOfRD08DZ2we55LdE3JOr +SQwsHrvy4vYAl8QO1yffOM9gvm09+refS/i1z/zyL6D/jakvt0b2TKjbUniR +ASeTC90ZfVySGly7ujSZAWXJqdlD3/A8QZfUK1IYmMW/vMsEeeohHeXqVJwH +df25Kb1csnvkmlL9JcxH4d1t//VwSdjDOWqvL6N+ze5e00d2qTul+y6NgWlS +UbvPdHPJ0YlXLD+lY32d3Be1d3HJ4H9lHoIrDFhe3jagiaxmFRHfcRXrYb/z +UWQnl3hFHn/Ycw37z/E78fY/LikMPdc1eJ2BGTpJ9srIaWaLlH5loH84EeXg +r1zCqhfsGc9k4PLQnx/1HVxyS6Hz9qQbDMgd3/ByNvKlaxpjVDbq+cSVzINf +uGRt/X+2028yUHNsPPSxkEviW74WyuZg/bsP2ksgnynVlFbIxXyx6ctSNxbP +d6E+SjmPgW+z90vcZ7jkj+aJEbV8Bva1DfdPQp5PZ/pp32Lgl8Tpt440l0T7 +9w/p3mbAYMXih3kC1NOU0iOGdzCfPGu8OsrnEo2b3Gmmdxmw3xx5whL5vMOG +HIsCfN46Xf9r7Vwik6m/YUsh+pXyyM6BNi7Z72D6zakI6x1Sbrke+Tv9LH1X +MQOJZdEGFz9zibDax3bfPTy/h93Sr61c8sFn2TTv+wxYiy9S0UO2gJa3h0oY +ODJTVP70J/y+z67Xwkoxf0nyZ7Z9xO8rN/SPesDAqbAqCU3kiDmXLE49xPl6 +lzkl8gOXtBh5aJwtw7yTdpL3toVLnB/byqSU436y9Z2ijBx60lTs6iMGhMFO +EsHNXEIPTh+/UcFA/pn1M5+95xJJe42/tyrRjyQ05sghXx7zmHjvMdYnRlbZ +6x0+/9jM6eVVDNz3ENWqesslem0dKgQwjxl0r5ZEVk3XXF9PGBiJbjLf3cQl +RcHcfQ3VDLyteLCjpJFL9MnHc81P0B/cL/uIIZ9vcn7a9hS/f0JotNMbLhne +8fCPsIYBMymHtFsNXCI76Y9BTy3Oi4zG/T+vuUTHW+PEUB3OW6JIgxWypnRf +8+963Id/GrozXqE+xkQ0RJ/j+elU7vBL7Hde6hnOC9z/ldvVTJEzHSUGJV7i +/pKQ3Zz6Aue1eIuL7CsGtux45d/1HH9Ptb5VeM2A9IKwS6uRDSvKrRY2MJDO +zKtOeMYlCVd/N2m8wflReNwjqMd+HNjgrNOIfrrVdtYy5LLYqX1rmhiInda2 +IaaOSwzSD500ecsAVesc0lLLJZsbbBZZvsP5HHubvwj5Gq3WaPce88oKQ35Y +DZdc/Xg2YkczA2z/1Zmvn3KJe0vgyj0tDNwpHLSch2yh7PH9wAd83ojeSf8n +XJKh9ao84CMDEesOPX1ajf54pP5E2Ce8P8hkiMogh0Ws2HG8FfflSNU6D8Il +4ryjK09/ZmCO65voR8AlEyQzZ59vY+DTh8b6Kci9pd8mprUz4MF/MnVXFZdc +SSgbyeQzsH0k26H4MZe8FPzqyxcw4H8t+PpE5I8alv3FND5/h26PQyWXCCYf +/lnOMLC84KteXgX2L2C32BOWAa9ZMadGH3GJ9WK7uS+EmLflJVotkcNC3Fe/ +/YL7bPVJjevlXDLnULFrawcDa372HB8s45JA5YsJ7FfMl2/XtBojO7pfr+7+ +j4Hj1qHLUx7i+R2N/g514r7vz0jsfMAlzHcHo7Eu3Ac693tWIQf61Z6e2MPA +jaxC84RSLlmgdqyN18vAi/Lk24IS9PeMNp2Z3xiQ+Lt32jJkO98zKfJ96Dd9 +8odi7nPJKY34ceV+BhSnP/7Ucg/nN/m7t8YAAylfTdYvRh5XrPqiM4j3w8H7 +d8KLuWTRFnq34RDmrRLu7IYiLgloi+zcMIz5rNj05Hzk0S0QZP2dge8H9/8M +KOSS5cVilNMIA/XuPp61BVwyTVI6x/UHA5kLtrfLIi85qbTJ8yf6r6Ka3YG7 +XGIq+Dvs/4uBvd3tLyrvcMmz0Bk5Yb8ZgD+BJhLIioOHdkWPMjCprQ/cbnNJ +UFL8/PgxvA/xLAxKbqFfiY51XvyD9+EpcZViyBZFrWVX/2Ie3JNnsC2fS5Rc +f5/NGWcg50IeuZ2H378i26fwHwOPFOJMx3O5RHt1lH2ZCAs2pza9skEWtqqv +rxZlYbNdl/2NHC5ZvdxY98UEFjoneAhGbnJJntit5e8msmAmV3vQDDkm9Zhu +2yQWguVFRtOyuWSHXuj6jsksVMfPOv3tBu7/9Q4OfWIsHOmbKm+E7PlfuO9P +cRae1QgKz2dxycq40nMiXBakLiSYdmRyybEbH8u5FAslbTLtushNRfbdUjwW +FqmEB5/O4JL31q6K8lNYqO8vn95+nUskArPdVKayIE/eFmgh/5tklqc5jYWq +2bWbj1/jkm3SyT90JViYFXmu7/1VLjF+uNJynSQL3cErklSRC+oU8s2ns/Ap +qkgn7AqX3A/qmGovxUKI8qS2V+lckr30X+jOGSwks5ox85D9b6/5tm8mC6Nr +l2oGpHFJ7R5TDz9pFkKJeGvNZfRbTkV3qAwL7/8rOSmLrM4NC4yWZeGvvq7u +gUtc0h3UPjlhFgv9qxI7K1O5ZM2XQ9dSZrMQ5VOeLvF/9io1zJDD+jiV2exO +4ZIL7pFf8+ew8ProafHSZMxnqg+T78uzcN9Ni4gjjy7YYfl4LguBp3LCtl/E +/VPrTdUrsLA9uH/l3QtcMvfrlzeN81i4UMgd+Xce88WhhVdb57NgW/a9ZAuy +y/OT/l8WsPB5ZlHwzSTsx0efzX2KLMRtWr3q1znc1x69S38psfCkNfmfOfLx +HZ/mTFBh4YMl1F09yyUDqy5Pm7KQhdXKD88OJHLJ26hdHBlVrF/Hke3GyI73 +w7jzF7EwMFNSNSUB8wvzQkptMQsGun4jnfF43oEpSivUWJjZdKV2NfKUhNJV +hktY6NmXnJp4Bv1omu52M3V83tFtB5nTXLIiXCpqiwae73Kn0QrkH7cPFjpr +slC8dv2sk3HoRyZ2Hfu0WGj97j746RSXrLfzVPRfygIxsHuljhw8e+v+cG0W +tl3n5kec5JJv+V73Y5ex4Hnt1Mm3J7gkaVWQ+LnlLAzBm/0qyCLWjbvTVrAg +GsffdDiWS944n6/N1mFh/7ESjZcxXLKnbESrcCXOj4rtDAVkh+64zHJdFhon +lIz6RXNJ6xoiV6PHgsyVNuHT41wy2bckvUGfBZXgFw0yyB3qcsqfVrFgIXO0 +wjMK50nj0X3hatSP6Pf8ykj0swF1i741+D2PNdMkkD9sXNj9y4CF52/U43dH +cMmysevnJq5l4Xflt4jSY1zy6Zet4TQjFjoo/yAO8gKRuOFZ61hoMnzgteMo ++uHzhCKl9SwY8yvdC45wSfmhH4Gaxiw0+8S4iiK/lFBep2/CQl/QlJ324dg/ +p7CZJqYsLA6135EbhnmITe+32sCCyfiOHaOhXJKbaPd220bUx2nFnZuRBzTl +KveaseCUneuacZhLEp903fXdhM9v7HYfDsHnpY3lhJljPVN6vDYgz23My421 +YCE2ND/ocjCX2NYNFJ6zRH2KKkf2BnFJuFwApG9mwf7+9vi1yHzJxpYcKxb2 +Sm9OOx+I+SXp1UixNQt+d0fzOw5h/69Nkn9sg3oX3VOhh+z2YpL5M1vUR2ps +w5kA1LPkloh3W1j4b8RNyPfHvFR+uJJvh3rI+vlbG9k5uUak254FPaUNUrF+ +6CcdXyxHHFg4PW6p/tEX/WB+WobIVhYyH/HMliCHdb8f4zmhH7VHuR/z4ZJ9 +uiEusttYUOwriGny5hKb1IJnitvRfwLO31RGjkp6vkpzBwu8gSXPQrxQX9s+ +3td3ZuFQX1jvi4OYl/a1rDDdiX4zfExKAVmy5MZjGxf0j1jdVf4HMG/dSNjs +vIuFderZe2o80c/zlDv2u7Lw0qsmURb5Y7RezCE3nK+G1IoDHujvDfJLInaz +YPhhbvfj/Vyikr/z0+k9LByf5ig3HTnt25KzKXuxXqNrLffuw7x/851lljvq +UfFzxEN3vM9dkZQq2MeC7xTVUgpZ4Vcgv3w/C+VrlXp37uWSxcNH79V6sDDB ++I1y8R4ukdI4ntjkifq6qrZrEvJEyRb/9gPIzSvSt+7G+86hYueugyyIB3z7 +eMsN91PDZusRLxZOjdrNGndFP9qpvEnUhwX+yP5ttsjqZbT5VF8WRroXXcne +xSWNEcvsZ/ux8Ms1hf7pgvt2sGevij/Ol6BwoQVysbrtUe0AnMfeQJ9rO3Fe +Hu+6anAI6yfR8XDQGe+P0FOzKRD11PRvginyH5ml3x2CWDjzsMb60g6cf/tG +td3BLEw0X36tZzuXzG7Z4ukTwsJkSYs+Q+Rxa93CsMMsUEk8o/PbsJ7Hxv+c +CGXB1T7wQocT3j8l/9leCEN/YmI69ZD3qWYXXA9nQYKsWRu/lUuuP+XOuHOE +BZeQ9FSBI+6v9vURZUdx/53NGFyGLKd9Y6jmGAuPEy02n3DgkgN6k3yaInC/ +jaff+mSP/hn4daA9koWHe5O4GsgGOtzw7ijcx+ZLDkTacUkJR3bqz+Ms3Fnp ++erdFsy/N97mTIxh4XCx+VJV5M9qfzdKxrKQsv5Ncpgtl8zY1TMgf4KF7/4/ +/ry2wX/faJS5+CQLRvXgvgBZxaho28pTLMS8UGsMtOaSkasTZhvHsXBrou6a +Z1aYL4e8aOvTqP9RYf4c5EszEgqdz+B+0tWe7bsZ74P/DE94xrOQsV7h9BNL +3L8tLnuDE1jIuXHrjzTyb93RTdGJ+Hu22c/Tgku2pBzWPXeWhY2nrn+tNOeS +v8to9avncD7lxV0kkbtuxS++lcSCmuqUD3s2ccmLo80aD8+zML60wPahGZcc +cgT9mgssqD7pfU0hJ39x3tx0kYVpe+otXDZySVxjswc/mYXhdIOXxRtwn9R9 +PNOTwoLliJXlZOTJh/Uf/EplIf3naIOTKfYr3atz8mX0gyXr7O6Y4D6xXqE4 +Iw31P2vBp3/GXHLj948989OxHmZprnbI97733tG4wkKW8Z2unPXoh+Elf1dd +ZWH5ecfA0XWY7x3lHM2uoZ4eXxKxQh56uf2Bw3UWaMuAxEwj9Cf7zrl7Mlhw +eMHOHVnLJaIyOxP8MllYWdVVYIa8uTxz0rEsFrYUn1h3xRDnxW9V9JkbLMSr +lzf3G2Be7L7LvZzNwqWyyIPGyMO7ElNzbrLgxW+bkLqGS3S9VDVKcnD+VF+n +d69Gf5h//0V1Lgv6c2xXGiIf0i30fZPHwlwTj7dJq7jE432afHs+5jk1Kb8O +fS4hg1mN3bdYmO5kJaGP3H9nSsKv2yxscJAvitfD31u9shG7y4L37fAttC7q +b+fzOTMLcJ8JD/5Yjnzp+kjfgkLMgyd700+u5JJzbPdzrSIWHs37u/6zDubf +APs7BsUsCHWu9mgifz22J8XiHgsL7F4lH1+B91M10VPb7qM/iJxe17Ic6/vr +WNT+EtTns+a+xchrhq4cDyplYefywqtHl+G+2nj6TPQD9PsX0lZN2nifS/qW +nvSQhWuzuCIqyKptaiXXy1gQyzl1//BS3DdnZr2/W85C2p8LHq+0MA+55o1V +PML8clNt3nxkGPyu9qIC8+USyw+HNLnk5tdut4+VLByV/XWuXoNL/DZdyfj6 +GPfnkIblHOQyrvp/36tYqN34jeOrziVGITo6Ewnmues69U+WoB6LppyZXs1C +aYzYSRnkiqiQznlPcP9F7jI7oMYlGkYnNms+ZSFB3ohXtZhLcuqTHq2pQf0L +c99MR/4lPVvLohb75ZKS7L4I/Vze5Pa2OhY8ZHk7y1UxX0RYaHnUY70uTV44 +FdksZUZF8DPcL16xA64L8e9/X7SKfc7CDfnTlSUqeJ8syem68IIF6eUzTnOQ +s15ejc96+f/8On+bszLqt05ft/gVC2EVRYuLlHD/aV/qgteYL9bVjE1EDg8I +u9HQwILc1u1vtiqi/0fw3NvfYL1jA7JvL+CSXZlFmr2N6A9bp4T/m88lDbUD +/0ab0P+3qtrZIZvm5nzkvmMhXOKpeu48rLf/3vJZ71kY4wrExxS4xFysI1O1 +GfNgU9gXK+Svuq+SVrawoDuQ/CRrLvpl6sU40w8svB3Qyvohj/f5qWvj7D9i +nt5pFm2OXKMdfm7PJ/T7ar77tTl4n3tw+XpAKws1OUObhuS45IH2pQdRn9FP +UqO1NiDfX6LQfK4N+zkvSSZtNvYzLmjsejsLys/l/n2bhfeZD9sWF/LRzxXm +d61Dtj6uu6tKgPnwVsb7ZFnMK0YVV17TLAh+pld3yeD3c6awbQwLd5OmFxkg +twiaNHtZFq5OEM1IkuaSOkF99JiQhfPNnkkdM3E/6VE01cHCnmSLGH1k1xdR +JnJfWfj36ubhhBm4L5pKixb/h/lB/LAPI4X7OmOdsn4n9vdNtbsO8sWy4utm +XVjPouMucdNxfhsklZy6WTDVeeTULol6O+xcsL8H83bnfntt5EFhn1FIL/qf +4xnbWAkuOW9c9fnEN6w3V9nm0zSs1+PFx1L6WIB4bRsNZMHZOYty+tF/Dt63 +jZqK+vk3rbV0AP1XO9++eQp+/4v2C7WDOD8eUtsWI0cfkHZoHsL8c63P5SgP +81CmvULHMAvfdhjsa6Iw30TG9n//jnlWY9xHBfnLvfXPJv1gIfr60tBQLs73 +2y95M3+y8Gf1+5jXHMwb/TJJyr9Y+JrYmbQA+dtZ/agVv1l4o+SdESTOJZM+ +aIaajLIw74Rb0XMxLjmyqu2w/RgLQetqq+ciV3kci9z7B+vDpL73n8wlCY4f +zgb+ZaFg8GNn7STcXxr5OTHj+Ly/J8dnIz85faf24j/Ua1K2tM9ELtH6tKs3 +W0QI1/Q0NZ9M4JL5w41ypaJCgGPKZjLIu8fHbGonCKGk/8SeA6JcEvhB7Gzz +RCEckHWIrBLB++ev4fcdk4SQFJV4TQq5f0KS4o/JQpj/aFnVvn8coqgqdVhM +XAi8zesEj8Y5ZIqCTrMMRwiqdeWiEshbg5VXqXKFcKQ4XWXPXw6Zu1krV5cS +ApX+1fzhHw6Z+efTHDOeEL5NS/PnIS+X3n3JaYoQplwuvbxrjEPGKr3lPacK +4Wqt3tP7oxxSUJGSFzpNCM/nK/WJ/589KteclhBC6spAOeffHNLRbPcxTVII +Wy4sMSv6xSEO5S3ht6cLYcVTs5BJyLcKd6pWSglh75aXuU4/OcRA72zrqxlC +MHx979OdHxxy80tkcvtMIciS8SmiyM3PNjn1SQvB9GHBOocRDunZvUjpn4wQ +Zq19EpL/nUO4/QUjErOEMOGLXuHfYQ5Z2CHZOH+2EMKXSXXaIksYz7inLYff +92CzYs4Qh/SXaF5ZP0cIgr/dO0cHOaQury3BTl4Iry50pVkhfzr6/OTeuVj/ +yZs+ZQ1wSMqeWXFBCkKQE3Bm/+znkHnHU86fmCeEzLuLtlsgR5bn3kidL4Ss +v7lXrvdxSJ8vVOYtEMK9HSfo4W8csiugsL1cUQg37Z+qmCH7tViKvVQSgmKQ +i9eVXg4RDVmi26aM/TPfWjLQg/UYjfT9piKEqa53/5og+y9+Vji+UAgcE1ez +y90csti/+6fEIiEMHve9+K2LQ5THmzcuWCyExPxWZh1ylETx9WVqQvhkkrk0 +pZNDvFIc/hkvEcIL5klk938cMhg7uM9BXQh2U9e+NUSOcl/esk9DCCH20ioX +vnKIzXjk5sOaWG8T09D/Ojgk3i75VZyWEHo8GxpWIwdve2qXvlQI9luKVM59 +4ZBjA1fZO9pCqDzdffSLkENqvI1Dq5YJYUfGkQ96yH/zfsk2Lsfnzd+3LIHl +ECfOwSpmhRBqUnMSGQb7N3rXa1hHCCoXDXp1kNMT2hQn6wrhQpaaxWmaQ9bc +UmRk9IRw0Mb7Nl/AIVN91XMX6Qth2pLJU5cjt3eJBK1aJQQGBn1P8jmk7MgD +c8vVQtC9suz953YOUZuzcJHLGiHEbq7XX4rseiJnqp+BEJzdCjNi2jhkz8Wp +Y1GGqHf3bs6nzxwSGnNm4MJa/P3XkAAN5CuNQd9uGgnBPWBre1Qrh+xfFjb0 +cJ0Q9FNPbWr5xCFKt/3/PV8vBB2WeqiGTLX4zWwzxvli2lUiPnLIsiYb7T4T +IQQtEE1594FDhqaWOIhsEIKodqD4ImTlWdbHpTYK4dTVlWFHWjjEROTOA2Uz +7Nf3jX2NzRxSuFpxeOUmIcTU5O5RQZYkAbqbzIVwMs2hNfQ9zr9PQPQOCyGU +T7Ld0vCOQ6pW2H/wthTC33OXXyoixxkeXh65WQgKrzU3hLzlkNi1K1LPWwlh +wUbJJy+bOCTEdfHEm9aorwSDtfORb395H/zQBv1I/cHjwEbUo5jP0HNbrEdJ +qMHzN9j/DeVBbVuEUFx8smou8mWplaL9dkKYeV9gFNCA31MYcFHUQQgnNkTV +1L3mkJPQqjXTUQh6owc3zUHuqua9W7gV9ed8/Y3vKw75kCJ2TN9JCH9G5bbW +vOSQRhktbctt2O+9fMEs5JDhDb0u24Ugotrl6f0C/UtidqH/DiG8b1w1Uv2c +Q4xn/wyNcRaCzcDbKBnkGYtCLVN3CuHZjGKJg884ZPMOZ9VbLkLIf/7+GtRz +yLMxHvV4lxDWZBhozUQeiDj8/Y0rvl+lh3jUcQhp6vzKuqE/dbXZPa7lkPrB +UGZkN+rrsFTndORLYVVCzl6s7+4zR/fVcMhRakrfHHd83sqNMyueckhO8FYR +rX1CMIsyvSOBvOPWY7n1+4Vw8W2s6d4nHHLct2yNg4cQmsrE6bJqDvGwF9vv +4SmEqicvwqciL5YSXgo/IIT2Yw2zdhMOEXPqf5t4UAij4VIPHwCH5FVOkc7y +EgJtluLIQ/ZteOZS6o39Cdz2c1cVh7zd+7nomY8QWuJ3XC55jOef8YBq8xXC +6QVX1nCR50e6e/X7CcGyWo7ZWckh1je0WiYEYD1HW07cq0D/KxrdKHNICDI7 +GzXEkbcoZlcvDhTC3BCxlh2POGTtuLWxQRD624fDEUXlHHJ/3fArm2AhDE1V +VZuM3PBtm8veEKxXnmTLtjIOUd/W8zPksBCCdXWiCx5yCH9iwOUzoUJoNLuo +PRH5gtLA+uth6HdeGszWB3j+kMLv98Kx/ktFzt8p5RC369MK6o4IoU55ioko +Mm/8tm/rUfyejzY/HUpQT9/+0+s7hn7Y+vr2rfv4vvkR1IRI3B8Vx93+3cP6 +2lQKpaOEsJnjO8seubDeqnbxcSF02Z5vzCvGeZF5XGAQLYS1qr1xf4s4ZG/V +8HXbGCFkyB4x2YJsu2LDZfdYIey7t04kt5BDNhgnp4WeQL2fXPN4rAD95sWv +GwknUT/KXuE2yOXJp0ozT+Hv5zSuunmXQ56uPdtQGieEc6P7x37fwe97sGjg ++WkhLLVd/tgK2a3ZY/b/KC7zeKjeNoyTZkl+oUVEIVIoWlD2UGlRUpJUCmVJ +pVSkxZ4likSRJEmiiEgR3Y8ispQ9W7aZc84IRaXN0nu/f34/M3PmPPdyXdfT +FcEDuScr/FMf4fvJ3d/8LZIHVKrjut+ZOC8MJ5h9FfsL5dO2In97erN8XhQP +wqPt6lIyuCRMnMzQjEY/SleI//mQS64k7zxodg2fHzvXYQuypHpi4e4YHnRS +Rup307nEc8Vc2aPXeeCw9MbPHw9wPuwuBPvH8iDhl9ybTchJhDcaG8cDnY8N +0XfScL789D0ybmB/9j4/8P0+l0in5gyX3MR5nFmluRH5c83Wcw3xPPh6VVQ4 +KRX1okYwnUngwRP7s40j97ikz+Bk2tgtHqyaOSt9A/ILg4kNErd5EKHbfj4x +hUuEVM4OKyehfx2qtRq+i/Vex76ne4cHZkqDS9YjT9vStHdbMg/esHSEbyWj +f4udxvsvzuPtzPYvd7DeWqsZ7xQe2HptemaGrLFgWmHkPay38sxr8UlYX9+4 +mJRUHoisnnp86DaX2KsGny64j35lKG9hipxAH7avTsP+VTqq30xEPXq0eHvP +Azyf6/vpg7e4xHzX9s2j6TxgZTsMrUVuneFiIZrBgw1L5OriErgkt3+tjXwm +5gPXibzP8fj+77a7aj3C+Z+YmmCMbLY9LXDTY9wvn5V+sTe5xLGm4b59Fg+O +Hb3k3H8D/Zda+uFUNuYZ54ltRsi8ImPh8CdY/18Ja67H4bynvNC/k4P6mWOn +JIjlEpnFEr55uZgnFI3FDZEVMtMrK5/ivnZuGL92nUta/inKduXhfHuc/EzH +cMmetMdnvufz4PWxV236yCJH7Fq5BbgPzsuqoq9xiZTOJrMFz7E+n0teUtGo +P9pzCla94MGNcI9sPeTE0rLlmwp5UNtsci8qiksU17zKsy/Cfh7Qusm/iud5 ++N7o9EvsZ8GGK7rIUuLSDeHFPEg9ejb46hUuSe4ROpZcwgPTme8u8CK5BAaP +Szx7xQPlNWu81iDbPLn/sgpw/j3KT1yJwHx0z8yjh2B/N5442ncZ9ST1qtrP +Uh583rnGbTXyjDPbv0x/g3qiNN8lMpxLjAz7CxXL0I/MFzj3hqE/He+7srqc +B8lW+s46yKsPnHDb+pYH8g2nXCJC8fwZfludKjBv2lW49YRgnnzuq+tTiXpx +XvuYNvLiNbxlUe94EFVecvLyJS4ZTGdU06owL1Yd8O4O5pIUJSONl9WYv+Vk +fbWQDboK9epreOC6+eul8CAuGV+uYcnU8qCL7rjaFYjnLRxzn3iP/hzYE78K +ufpwQPSsOh6YPBlPDQvgksakhyWq9TyImdDM+eTPJbfGj30zbsB88M+nZCWy +5RYXTZtGHgjWtVeH+nEJd6Tw9NEmzBMHt3d0+uI+dn8vDWzmgSSvY2CF7//3 ++8zchBYeqNtfmAi5yCVVfQ2nn3zkwZjjConOC1yi0+baXt7KA/Ggv0orkH+n +b97Y2Yb6avlxTch53NcG0Vff2nnw3K5iW8c5PL+ItMG0Tszv2lWHlyPX7rR7 +Lf+JB80nui9e8uES3eyM7TpdPNBPZt9sP4v3D/svtEU3D95bGedqIsfsCbzk +1MMDvXnhNcHeXLJtnszSc73Y38s8QZsX6qEwpyO6jweqq7axNZHr1nRcS+fh +eR9UKgef4ZJTX8a3v+JjXvbesa7tNJdoyq6RbqbwPqI9cEgD2WvRGWaARv85 +FRMSdArz1+TYqykCHky+Mc9o9cT5SAm7I9PPA7/norXLkEXP7QlZ/hn9pad9 +JPAkl5is3+dlPsCDPXXP57aewHwasfm4/SDmE5kUo2XI43VXj58ZQr/cesM5 +0AP9X5brHfkF88jkjaiPx3Efi+xCU7/iPJbcK1yKvKxQ9m7RMPZ7fiE/4Bjq +ydExUj/Cg9s5bRIfj3JJffmvfsE31DfuVKOlyG+d/swT+oF+WrD6aIA73l/a +1lnPHeUBe9vpxJYjXLLc8lOcxk/U84OF1epH/q/P0d3rf+G8+bEn/N24pDv7 +/Ir9v3nQZ7hXs8UV86njxojTf7A+y547qiNbHLceiviL9eyRuenvgu8zkL07 +dYwHv/sDa5qdueT7J8OqonGsX/vIFHXk175C6xsmeKC2wVnP/zDmrXeDFf2T +PKBLuj2bD3FJqlH5DmEhPoQ07X+shsyPHqKkhflgItdD+znh/+2wD1g+hQ9n +FzsvbHbE/FXwR3mjCB+yw77aqyF/LGmoOzCVDwsbzt/2c+AS7ZQPwd4sPmy5 +IdrRdBDzxvmxtVFsPqS5JM5TQ/6posFK5/DhVeuyvX4H/p8P8+pfcfnw9Xzp +7SZ7vG/MsXrQMo0Pdbxd3arIjUpOQV9E+TAt9fNCv/14vrZTrmwxPoxt8XNp +2of/35Cxa8F/fNhzclaWKvL4ybVbdGbw4X3ag+++e7nkjpXwpm3ifOg+v0a/ +yQ7rYf5vm7MEH7aHVAapIj+b27bPVxK/v9um1ncP3o+OOZ+6MZMPc4N65zbZ +cknTtVfXsmfxoeOWm5Mq8guflBdvZ/Ph04ovT3x3c8mcvWFM1xw+sDqOTzTa +oB4IUhf8kuLD7yUDW1SRH8dvsReX5sPtbMdE311cMrmpKm2xDB8GJ5sGGq2x +HlZxo8bz+HDzsYmhKvIPt7SttrJ8uLP5YZTvTi6RbajNOiHHh2F3Lq9xB5fM +zT4vFT6fD1dTHVarIv/cKh2asgDPE5wX6WuF96OrakJF8sgpE32N2zG/v1EK +aFDgQ/IVYz1V5P1yFaIDitivzrMxvpZ4n+s+fltEiQ9iChkDjdsw33ds1ZFT +5oPj4If1qshxGrtatRbxwblp8K7vVvSjP9GBW1X4wHX/N95ogX77x0HbeTEf +Is04dqrIq+2Nh32X8GHViMgL3y1ccrx4b95NVT7M5IxKNW3G+9jfEN8cNZwn +6XYvVWTdX+Y73qnzIeXF04++m9BfX7A0+pby4fM5X92mjbiPbstmji3jg983 +g9uqyBPvgidnafKh+OnQP19z7E+A5Pely/kgbRl9qGkD+tv9oq/rV/Ch1k65 +ShV5o8v7H/Yr+bDZLWO533rMh9WLppxdxQfxGfLxTeswf5Cxude0+ODdGSyk +hlwXnq+dqc2HXy7tbn5mXLImlN77Rgefv06+qcmUSzouel/uXM0Hl6k7jdWQ +t1RIlo6u4cMOgzOP/EzQz1IF/2bo8eGU3yXp5rWo1wvnmi/R58NJh6AQNeRb +2fE3TAz4UH7m+KifMeqpsMcXO0Oct+0bDjcbcUnwYbdtp434sCxYtEUNecf2 +FwVXjPkQkVZk7m+I/tqwYXH6Wj4MmNsUNRvgfirtv0tMsB//OpepI/sIOyi2 +m/Lhpf22e/76XKLnMJL53YwPN/5mzG3R4xJ1zkWD/9Zj/Z2/XlFH7nrt36Ky +gQ/mOgtYAbpc8k655+xacz5kTGhfbFmD33dIVrLbyIfQ7To/1ZFPdZ5tObWJ +Dw2vF5wIWI3n0cy4dmUznk/w5XOLDpeM7lDelb6FD6t3PXBeinxArFWh1IIP +iknreAHaeB8uEB1t38qHJdbvDn7Uwn6RffU/tvHBdIZW91Lkzw+UC2Zs58PR +A8H2gauw35JLU5dY8eF5R2HXx5VcMlP3QrzpDj6YzW06sAw58dNQ3L6dfPiT +1tAbuAL7ldaV6GWN9ZB7dqh1Oc77r02Z0btw//47L1iGfK6wnWTa8KFohvKx +IE2s98DT7rLd+Hnek2+tGlxy8nULu9uWD/7R8300kGfPNtL5s4cPF3WPCQUv +45KeKXLHZ+1FPTC9E9a2lEt6q3dlL9vHh761OZKayMHU25/m+/lQU3EvMVgd +74vPw80d7VF/3M+otKuhHsg9uHvhAM5z6eKnmshPt8lOuXmQD//2FRpdUuWS +G1da3XMd+JDeoFrTvgT9YN3kp2pHPggKztotR56hnGBLO/HB8E5a/6XFWF/V +LR1Ch3Ff5HJ8OlQwD49HOss68+FYxU3RFciPTaf91Xbhw9aV+26HLOKSqJbc +uO2ufJD8Nq7RqYx5d2CGnrsbH2QTfV6vQJ4T40dfOsKHydJ6m1AlLtml45l4 +1x33f2zqYOdCLrnUccT25VE+QMfMwJXIg4dVF7Qc48PjX3+lwxS5pOCyzODw +cT7U84pzPilg/pQ98Hr6CT70a9luWoWcsf/lXZWTfPD0q+kLk0f9ePYs1MST +Dxq2Mhe7FqAfYjLYd4oP1E4jaS3k+Mu1x71P80GLo58fPh/zUyTbI+YMH/hs +catuOS7RerDDO8sL950p/KKF7GOwPKzSmw8JRvpXLstyyTGF3Sm8szh/d2OW +9szDeph/fz3pwweLFKjRRj70pnJQ5jzue0vpsQgZLslMVZTXvsCHruZ48V5p +zPO/n+zZfpEPQqvWPdVBfnji/m13Xz7sDXqzK3Iul6SDsiDED+dzr9TfXiku +cX/ern/Pnw9yVgbJq5HDvijElwTwIfa31vorc9BfFr4Ybw3kw1Tm30DfbPTb +iqduP4L4EJR7+/oa5BiPd13il1BvhkQNrs7CfOp3fZ96CJ5XYzPFm4l5Akdt +QygfPk63i9JFlli24qRjGNZPRk8vShLzRZcY1zcc9W2wn+JLoB8ZuqcnXOaD +j4xbjB5ybomi5bMIPhToPDeOFueSy11q/+oiUU9aG4eoGVziPZL7fPAKHw7E +vbqtjxy8985ZbhQfdIS9La79xyWL0upNlKP58Dp3fJwWw/vBo1uz1l7DehpY +Zhsgv9xYNbQ3BvdP5/jBmOl4HzW2qfO+jvOntWeWQBT16uu6l9dj+RBQI15h +iHw/Jiz7SRwfOLHXzl+fhv79xi2z+gYfFBS6lvdzuaT4qns2c5MPuuxR2ghZ +W07zpUgC7lNHc1IsB/Xr3pY6+Vt8sNTx3/WZjffpKeFD+onY70ff/1uLvHRO +1Czb23z48EGzIo6F34/ONzmdxAeiqxUwMBXvJz0RZ6Pv8CHMV8jABFl3X/nz +x8l8qFoV++uGCOonMflXeRf368uXvMEp6K+BOyypFD6Er5c4aYos6pmTLpzK +h221vzTihfF+d/Y2d8F97Jds2tCQEJfErpXx1EvD/387N8sM2UsUeDYP+FDq +ZHks4R+HhLwc2X8qHfsftkXj6ySHhOU09UQ9RL+umj68DpnT3Ob+OIMPQxD1 +9NYEh1z8E/avMpMP8yZbzgyPc0jz9IuJ1CPc13m9uhuQKy40GE/Jwno/zppM +HOOQ1VGlgwuycV7MDcpG/nJIuNrKe/pPUN+CIi+bIxec7j9gm8MHkdEkq6Q/ +HDI1U1vlTC6eZ+UJme+/OeQd1f/j2lOsf/2Uvo3IVaWrarLzsD4uux7d+cUh +EdeZR9X5yBEuZ3785JA7aV+uC56hfzWuWbsZ+Z1lRDDrOR9Emyqn3x3lkM0F +dy4ufMGHpcpzW0d/cMj3Q2J+xoU4j3uU0rYg5021DN9XxIdM0SHPlO8ccty9 +JNHnJR/Ga06Z/PrGITsEpOBGMe67znOJrchpabPa80pw/rsKeu6NcMiLdxrs ++ld8sN7jmft7mEMkT4TofQE+KBv1B25D3lq0wXt6KerRQtld97/i828VFS95 +jXqVxFny9wuHpJ66L7rhDR9G1mWPWSKfkRg+6FTGhwvZM+rShjikZE0P+Jej +vp9YkjY2yCH7JCwW33mL+VVx7JwVcsSk7M2XFXxYbxtilT7AIfq5R8TbKnG+ +M98tmfjMIV06G6J/vuNDdFaZ0E7kuRYHZWZXo1788Wp72M8hhYzboxU1fJBQ +6nk6KeCQqDdh6y1r+VBZ+i/SGvkxiRIcfY/5z73ZJZPhEFtOxfXLH/B9Cg6a +CSHvmSw2f1iH+Vg3Rd6G5hAPqQmRt/X4fxE3xh9RHOIt+FLJa8D9MVnbLozs +rOZ0Q7iJD67fk17s5uP7zDE+Kt+M+UTnyc0sHofsMknfbNiC+eneKW8R5A/h +F1fs/Yh5tebz7j19HPJRb0jBp5UPBhazdZ/0csiqhd+kb7bhPDz/Oo+FHLIv +TeZZOx9K0i5M2PVwiI5vzsLGDtSPx0U9Od0c8uaOodZIJ86/U0YZG5kpXb1N +vAvzxsGNGfu6OETaderJZd24n3o3rz79xCGfSjm3t/Sg/4XFneYiL9yY/sGt +F/Wpx3SvfSfWb3yGWFgfHza03THN7+CQvo0V2x/w+KApmqEminy4TOhOGZ8P +16Y5zDrYziEveyV/9FGYJ46/HX/WhvN4wHqHMIP6+6GVno587siaQnkBH3pf +36x3aOWQ39eqlhj182FXz5SS5x85RH3/8N19n/ng9Eom4z/kXCUfxfMDmNe/ +d8Q5tXCI1o7MzIRBPryduymosJlDfIJPGbwYwn0kB0+KI1/7kdLS8gXzd8jC +g4ebOOSh41af0a98ODR5xfJlI4dE/h5Snj2C9SP3jCWRxe80tq78xof5hw4u +d2ngkJbtq+OsvmO9/N4qltRziOr4DrsTP3B+M5pmzULumvpjcdQovt+5y2y3 +Otyvn3sns37y4Uso8+fVBzwPmf+p5hcf8twGhmYj17ufKRv4jX5eENd35D3q +SeOpfNG/fJjCpj+SWg5RMBTJUh3jA/Olo1YKWSzue9bGcdQLrnfZ0RoO2b64 +8rnLBPazv+Dl62oOCXoy8C5kEvOWamKeNPK7qL/8tH94nzuo9Ph4FYf8GHTg +lgtRkKVkmVb2jkO8trlo8YUpGJ6+IHke8kPtblcREQokcqISTlRyyPCz9Q8W +TqVgXXpq7NsKDiEfpAdNWBQ0h+2JlkOeKLXRc2BToDKYE+n5FvdBd/M1fw4F +7q4Z4ZXlHCK1cvZIMpeC6XGmoQuQnUc27oFpFHhMu3DpdBmHfGvqeNclSkHb +vl3BVW84JJv2N5ucTkGxyvsgBeTWx0Hl8/+jIGiSCvJ6zSHXq2lLwxkUZJy/ +HVxTyiFHtzrx9olT4KM9cmkhsqetht8FCQoi3/BCzxLcpwfxSrclKbAtOXX5 +PWB/Q5/UvZxJwY6iu1eUkU85bg3pmEXBX6sj18694pCDInfXjc2mgJKti6sr +4ZD04LTpslJYryf1t1SQD1+W79CbS0H5/eN3LxRjP7f75NlJYz1iHjxoeMkh +oY4KsedkKIiQ9Mlagiz/JuHirXkUWL+g8n2LsF8L6jyKZCn4tWCwuKkQ9zF4 +/5F2OQpkPkWUqyGXezcc+zufgtOXy977v+CQZcbZPvPkKYh+Fdfa8pxDhO8b +X9VToGCD5L++pciTVwIe2SlSYDFP6EtgAYcsKD9af24hBVtPxv9pfcYh5xeJ +CiUqUaCYXcHSRD6bvWv1S2UKolyvzLyUzyE/j056dSyiYPuafvmOPA5RMo6H +MRUKjJ+1L1uBXHX0rYTcEgpMvR0MQp9yyMrrV44YqFIwS+rilk+5OO9jnTX7 +1ChIUV22dxWyhsHf1RfVKajadNI9PAf1+EHLo6SlFPjN2HSh+wnOW+DaJa+W +UXBLPP+KNvIVg71ZXRoUiFK5yRHZ2I/U//T/aVLAVzF92puF7+9uXy+/goKh +o4fKVyMv0vA6sXYlnt9Suu3KY/Rjs1XSDqsoaD+8f4j3iEM2zouvDNCioHrj +qil6yJ8zBAH3tCmYiEqYG53JIe1jyWZvdLCejVHL6AwOKe6Y+I+/moKHj+as +M0Ae3THRM1WXAr0ctb0xDzEPfKgoXqRHwQmf956CdNQD24CUDfoUOCQLRRgh +t2vnX3UxoMCyiKTGPsD5DgkKDjOkQN9xRsnnNA7pNpIMyjCiYK9mf8ta5H4N +48tVxhT8Ltw+cuM+zmuS2K2BtRTI3VonNpTKIZYOOU/FTCmQdi1bbIb8pkuj +aZkZBSbFH8wS7mE9kuQnt62j4L6G88GvKRzSs7V2+Yn1WP/doRfXI0sE2By9 +toGCwA8rExPvcsiam5tynppTkKbhWjiSjP57eO1E40YKtP5b3GqO3JpVt2N0 +E34u4vEr6Q72a7ZsrtQW3JdM47k/kjjkUu1U6TUWFIQlxK/ejBwsuBu6ZysF +L9x8bO/e5pDoWX//nduG85PX6/MzkUP4b/7637ak4M6M+kQL5Fx2o+ir7agP +s81f3bvFIQ3iQUndVhTs3mfW+zuBQ7J+xq4R3klBmV/5VEvk7JDXnQutKXgp +VbskLZ5DWKIm4et2UdBYuGfr2E0OqYwoMnK2oSBZ2N3TCrlL8et46G4KAkKE +4tNvoB9++Pkmw5aCRb0yrybicB+uh12v3kPB3MwC/k7kL98G3YfscP98WqZn +xuI+sCcsxPdRoNt/dpUQsrdOj86K/RTERifttbmO/y90QXWnPQUl3HXBj2M4 +5N/1dOUzByjQ+OyeNQXZ9M+7JTcPUvCkdvZH22scMifLR7vQgYLOLUbCT6Ix +PzlJbelwpMB/glFnIXs6bXebcML6n5fcvTcK9yH/ZLT8YdS7/UWBuVc5ZLxh +GTFxpqDfsC+bg3w37NdvJxcKDuSHdey/wiEqvrZ6Ia4UDO7J4uZHoh4l6wU/ +dKPgTIWljijylVXaH6uO4DzHeRw6GMEhAw7dK4fcKdizX+x6wWUOKauQvCl+ +DOv1fNFrMeQruw9PXXmcglqDlyOO4Rwyf9L6nLUHBZohNYqFYXi+R+W/vU6g +ni3ds0Mc2YGz0z/hJAVdlQeDDodyyIZf6RLFnhQw3/vyX4ZwiLFjRkbXKdTn +Dd20JPKPe3ZbhM9QsNhul4zrJdTrI59Glbzw+RXrLF4F47ypb8jY4I3PU8ny +m42cNhh82O0sfn/m1bwjQegne/erRfpQIL+QYUggh6x3nPk7+xzO+9fncnOR +7Rbffl9/HvV3ltCOYwGolz2/sn5coKBjMYS+8cd5C/4TN9eXgoSyHyUyyExa +TYieHwVGQXd/ePjhfl447r/fH+s9Xqr+1pdDVuwZCfQPoKCwytZJDrlgq+rV +1EAKii4dSvS8iP1vdr33NogChQp+Y+UFDrHvmA/9wRQsXNImJo+s/3UKJRZC +QY2JyYYz51HP55+YtTyUgqNZcv7V5zjE7VXO5p1h+P9T3YsUkT+xmy97hVNg +060+6u3DIX4r6xoTLlMg3mq//P1ZDrG647OoJIKCpFCRo8rI0Vvl/XsiKXAK +lXl4zhvn+fVpnshVCs6duMuv8+IQmdEiy8VRFGzsvKm4GLlyVWfZ5mgKlhz6 +Z3/xDPqbznXT49dw/1Jabjeexvxxe+27azE4/8vmd6gi23l8t312nYI1KQ0y +/qfw/e/sGmmNpeDGjZ+2LZ6o/xsvxIzHUVDxICx+KbJErKeBwk0KlrqHtQae +xPlf4fbVLB796OKodNsJnKekH5kuCRQc9/qwRxN54ehpj4hb6B/DcxIveWCe +3TZs8CQR6xVU2dlxHPUsXWNW422cpyp6wUrk4L5N334moV7an3AIO4b1CtFs +n5eM+tZ26H7XUQ5JnCZebXQX9bLpDaOF/Gh2XJljCs6PIFI9wh3vH+UiFSH3 +KNj2BDx6j3DI5cuBDZmpWI83e/NXIz/6mkC/v0/BspKDf664cYjak3iR72kU +cFa/N+K7csjOviDVuelYz6rUYD1k0zkWtvoPKciV6K2KduGQ28Kc6AMZFDxL +vSTJOGM+0UmrC8qkQHb+NVtDZE7F1HkPH1FwVUrk7vXDHFK0QPFozWPcT9UO +pv8Qh8zrtq8YzqJg+bD08rXIF93Xq895gvohUnz2hhOHuLvZxuvmoL9Mvikd +dOSQwbXKM+xzsX8+y6ebIevxnkUGPqUgf4bwrgQHzAcGerPT8yjQttVO/nqQ +Q7QvXLtfnY9+/7Wmfz2y06tuw+FnFMQfr9C6fQD12cmwZ/ZzCtQ8lP2/2eP9 +Z79uhO4LClgRvOqNyIcrVhrbF1IgvG+qdPJ+nJcbmuOBRVjvCyGHRvdxyNKv +v0vTX1LwJ9gtdwvydta16JpiCu5KZE2m7MX63tZzHSmhYOTFdovfdqgPrPCN +UkDBwFzrW9uQ2afpFfoE80pFgeD+Hpy/Ijvlg6UUSDmcXT1mi+cTDpK/9Br9 +0y8+xApZ/uFVpcw3mAdeSrWk7+aQ/TtSl38oo6Ah59uiSRsOifsvbsOPcuzf +b3Uva2TzlOOHZSqw3uqv32buQj0IVbtiVIn1oPLnCiPbnflc4vQO8waIuO22 +Rn3uvfArrAr7a51dlLWTQwyyVfWyqykYNcwXm4osd/rhpcYa1Js5cw7Y7cD+ +ec5o/12LederLjfHikMSXKxWL/iAev6HmspBvqgfmWRWR8F33V22+7dzyNWs +CjG3euxP/fzHeZYcstqmOfhqA+bLPcZCosg6U3+x8hsp8DpWaH1wG+aBP91R +bU0UvHkQkVGwlUMUNw0v/NdMwbvkZ5NiW/9//3/9SvkjBXnfdKydLPC8C1Kd +NrdSkKMrnlm4hUNcl5+TPNGG+iluJCSBvODj3Mq4dgpm/PfGxnkz3pcqC0Nf +dqC/1iZlFW/C/DQZvL23k4KCgdqps5DVy4QXcrownwnv3Oe2Ef0qKGB8aTfO +w8Ol+WDOIUaWKj07erA+5+zEpJD73oXWnO2lYMvszkNHN2C91JnSO32oJzNy +S16vx3qM2JMyHu6nSJuUDHL+88KKz3wKjlzZecJjHYfErF7WKkGjP5krVJWb +4ftaOY3oMBTcqzZSlkO+cDh/1n4BBTvzs309TVHfqvuMgvopmEz0aKs0wfw2 +pHUq4zO+j1yAljxyBH9DzocBCl7V90WdWYt5vSHy5+gg6o117EC1Me67Wct6 +uS8UPF4bZ74QWThVkGT6FfOQJpV61ohDBKEz/7kOU7CvOEjogyGHaDLL3KJG +UK8DTuxfhFynfr7z2TcKpsg8KjpvgP5y0M228zvq1/xV0g36eH9LS/g0ZRT1 +QY3rtQT5PybeXfUnzmubapOvHuZl544p239hfi2/ubJZF/2Ppu55/abANdzq +mjryLFVli6Q/mDfAZjhgDX6+XmXyzV8KEoXTLVtXY31bdhd+HqPAccDkiQZy +sv2Oi5ITOF9zF4tf0uGQJ5LBm9dMYv3kbTw6tDkk07pc4cA/CuyS339Ygdzr +MfLvkhANC1ZELw/T4pCkOAXBY2Eaznjcuta1CvVAan9b4xQaVo4OftNC/vs8 +tvGvCA3C+0OtI1bifkwpa1Fk0fDQxK2gdwXW00WUt5FNQ71hjPQaZOONdr89 +ODQYDQqfv7qcQxpdsqRucmmoZJ5/4mvi+V+MGb6aRoNCdd5afeSFP/yPU6I0 +/LdiNPWaBubBZkgXE6PhcP55jmAZh9yasuXzqv9oEB3e4G6EHFRKtPfOoOGx +r82H2KXoj9f3Xw4Up0FnLGPVgDru54YxJkOChkghk3gT5NtSl7bVS9JwRFV2 +4qYa3ndfG776PZOGdxJrHL+ocsg5xV4dhdk0RFndrFiHHH3+2QvzOTTEhaxZ +lrgE2eeKmYcUDaWbZa+PLOYQa5bXxxtzaZipa/zHHDngr/XpV9JYv8HUA3dU +OER1yu55tAwNVf82vv2xiEO+f3F/958sDRIzNJZtQdbITQ7QlqPB5umO2BRl +Dvlw7rXp/vk0eIcWjP1SQr+73yh2aQENgUv2OG1DLtdc1fNYnoaw5XrV9xdy +SM28q8VNCjR46u1ZNabIIX+K590bV6Rhe++zRCtkMnA/WlmJBn1iOfWhAs6D +hkGYhTIN6zxVjk3K4/3nQ0vY6UU0eMTotlgjh7S+jbmtQkPtyzDjRws4pND/ +ZlrZYhriw2dlCCMvnnKodHAJDcU32mbazkc/fXySnq1Gwwnf9gvZcpi/A+7M +NlSnobljDjMVWXZx85bDS2mQ3RxhtVeWQ6boC0deWYbvd0ivOHcehwDt3/xM +g4ZH5QsXc5GtNIWWdGnS4DptXYy9DOqXzfEg9goaYqqSJvKl8b66U1WgsZIG +3/uabtOR17uwbXavwuet/NPkMBf3Lzm/xk+LBgfxv2tfSOH9v+q1xUNtGkjL +iqwZyG/ahpvrdGioVrorc3gO6p/4pMuf1TS8ubYu5OVsDnl52UlkoS4NrS8X +fJdEzpetSd+sR4OTocZB11kccrPMddcpfRpKcj1rX81EvXOUE7ttQMPc/AG9 +Ocgpja+rywxx/rvjH7pLcsivhuLYISOc/zofqdcSHOJi8tBZai0NFQpXg6WR +G62GTYxNaEg62vztuDjmcX8jFVdTGtZaWjqUz+AQ26SXs66Z0TDj0NgHWeTI +UVnRonU07NnQZuT5H97/l5RP462nIfyaIKtSjENKRVNnipnTML93yXx5ZOU1 +IcraG3He6xIiz0zHerNTjO030dD9V2+8WhTz25VBp9DNNIyOTT+6EDmkyuha +zhYaND3EOs9OQz3JFFS0WdDAfNW3+MDlkHXnUjgi22i4I3OreBHysc27ti+1 +pOFrqMqyCxzsl4LHvV3bcf9aepIa2FgPzzMTvlY0jCdXzlBFTt9S5vBwBw0f +/T/5+bHw86e6H+p30rBztvxI81TMl88+rB+zpqF9NNJxKXJtx+VyZRvcl1KV +pkARfJ/0x9u27abhtuTg+rYpHHLk7oseb1saqMDO55rI31TELqTsoSEh55dq +iDDmz3/OCtV2NNjrGN7uFEK/1531/sdeGvKePJ6xClk6riR4wX4aTF6sDwj/ +xyamsY/XbbSn0f84P7on2eTeQaEZngdw36lvzjrIi/xNehIP0vDZhN0eOcEm +v7OzXpY70MBLNNnKG2cT180X7351xP2Nuk90kac5b74qc4gGlRcaWtFjbHKz +5OIls8M4j7nd6fRfNgl/mnTpmDPqmfRzWUPkrgLjqJsuNMSG5Edd/8MmekGd +KaWuNCxL+Cjy+TebrNr9tGTAjYboAfmza5GTfd/2zXGn4ZrMlcEbv9hEdZ5A +Yu1R3L9XCxyGfrLJw2X+G48cw997NzWbIZtvVQ6PPU7Dya6szbdG2cRtyXjD +Kw8atkRnwvAPNjl89vei/hM0pC6p0jJHPulkGDjLE/XDTCwz6TubCPeVM4an +aGBfOCH/4xub7D5w2cb1NA1Zx3/GbkZ2KvF/H3MG/eR5kmjKCJvsG4i3LPGi +wWLksP+vYTZpuyraznhjv15s+7kV2bv77rGZPjTwM3Yfvf+VTR6onhU1PEeD +2kH/vr9f2ORF/OUcl/M0PPGutLVCjqLfHIi5QINBpOaH9CE2GX62UrrkIvZH +99n6yUE2YSnItjO+NFjK7Sm2RqY53LSZ/jRkf5i36tEAm9gWmPsYBuB+f/2T +IYwsrZhv4xqI8y39U8H2M5sE+AUbXg+iIZmeEZ/dzyblNc7LXgWjfo2aibOQ +3ZZ6q/RfwvP0xIbsFbDJMYatOjuUho3rhCdzGTbp1XylZRyG+1QcdoaL7JUc +t+lIOA2HaLUhe5pNdt6ocIm7jPXaxxx6RmF9ZC2jSAS+/8uSzunIrzynk4FI +GgqTs6wd+Wyif1PwR+oqDU/vF9S84LGJ3D8jQ9Mo1Avn1nXiyPq5H8KPRdOQ +ETCz5HAfm2zWCe+Ov0ZD77VD2sW9bCI7nGpUFkPDhVXvs2YiH//S++DrdRrc +pliquPXgeY1dpWXjaOi7Rd+BbpzPZ4bXN9ygYV5C7FwpZJvYqLmeN3E+E2yj +j3axyTs+735SPO67zsppbz6xSeiOp/rvEmj4NkMxUAb5wfdbHT9u0bC1RHnM +oxO5qz1Y4TYNs7sMTr/tYBOX9gOrLZJoOP+f25Ac8tik1XfvOzS0MA+dT7Wz +iVSAw4vUZMwb08a737WxSc2nzyEf7tLQ+J/jHgVkrxYf+7EUGsRi2hu8WnF/ +pkYaL07F/19x2KL2I+6f1Yjqzvs0tIULv1VCrt4WO98vjYbpOk+Mz7Wwya2+ +4HmPHtDwvuFYYV0z9v9vjsLHdJyXcYNVi5FXq2xfLpJBg2CbXNbFJjZJP6m6 +STMT++k8fXFTI+57xiH3vY9wP3qmpaghn5SpvRH6mIZdtnNlAxrYxEQksTov +iwbnI6viPtazicyK6mk92TTI5O0X10B+l6NmJZaD/vA+Ljy4jk3sTgndW5NL +Q+eeDpGOD2wyWKE4fugpDUXDy3xXIBf4Bx64lod6p3nld+h7NlkydXZNST4N +P5/+9uyqZZOLButNPz+jwXjuiSEt5N3X75VKPUd/+v3NJaKGTRr8Lmw2e0FD +/3f/vt5q3DfLC50ehTQsTZPZvwa5f+iT9+0iGlgZxR+vVrHJ3Rtlcu9eoh8m +uu2g3uH3V3dWjRbj72UUavWRjxroBS58RcMYdJvHVLLJ02GWmSXQYK728LWg +gk2qTFf/d4HQ4DJ61tAYOeJJQc/DUnxeidWLuLf/16/0kubXNEzIr1w1WM4m +s3e3pU4pw/14IZNtimyQcPG6ZjnqmRJXNaGMTeYNHo7c9xbrNzme+vUNm/j8 +i7gaXkGDI//Xgg3Inm90bxVU0sA59Tvh9mvUH4c9T3jvaLi7YXL291I8P6+s +VqIaeYwbvQl5blzYqGEN9k9Devpdgp/fvK/iXkuD4QX1kJ/AJlS7hkP8exqm +BZgKb0VuLRJKK/+AebBt34XUV/j/HTbfvtVhPll47tefEjbpXs7dpNCA8/M7 +wXM78m7PmRlbG2nI/fVy6EExmwQFRM0834T6UNLtOvGSTTy2HLj0sBnzBzWV +vxNZrzxQuKUF9ek/9QOZRWySGcYNFWmlIb/eql0IWb9CTGpFGw3+78/u2l3I +JvF5x7Pt23F+7ibXZb1gk+tnTLdHdtCgSpVvmYocH3pkrLAT88Gagbd2z3E+ +P2rmMJ9wn1eLm+YWsMklvtbxOd00/Lm4ooSDXN2YoG3Wg/k0w2qN/TM2+eGz +hn2yF/17t0defj6bOJSn9tzpo2GO0mWN6ciFbrPLani4DxkpGQ55qLdVKrl/ ++ajPYc+UXzxlE0OXe+lLaMxD+8qTZyAvjktLt2FoeE3q5h3OZZP5jj9zggU0 +hOz8GPcyh01yIOHN034atuW2SsxEnoj71N3zGfXMqynC9Qnu54GtLPFBGkLX +VrEhG/u98JCW4RDq56PCgDnIfPtvR92/0PDd+t64exabFB+pz074inrdFuT9 ++jGbdPpp/K0YpuFv0/5v0sjB1OdtP0cwT1Oaxzwe4b4/lclS/o55Mf0PU56J +/T1WOHvnDxqCnxc5yiGbWwxcChjFvPTU85NnBpsom1sK5fykQUlH0fbdQzY5 +2GkX3PUL+9tV3iCP/FG5XfK/P5ifNh7c6pWO/qCW81D/L+ZpieGKmgfoH7TK +piNjqM9Np02VkP2cX3+LH8f8vOJLsU8am5AhsQcVEzScerN3dd19Nkm1bnL8 +OYn3q8UluSrI3dsUVRcJMaA0Jrn0YiqbiF57+3unMAOl7XseNN5jk3w5qj5w +CgOxTrEKashvGy/m54ow4Lyy9JZ/CpsExp+82zOVARN+9+yPd9nkwKpFN8TZ +DGhKDV9dhrzhqkycEYeB6YdHuMHJuE9GOUnHuAz0HOMFtt9hE80ziU9uT2Mg +t7Z8fDnyrovzq6tFGQhVjPcKTUK9mCk//Hc6A5Zsu+FPt9nE+JvbArX/GBCT +mX5EC3lkoZ/NnhkMCH5m8i4nssnPU79uhokzUGGgu7/3Fr4f86nvuQQDL0Kf +taxGjtRZv5qRZIA5Lb/9agKbTLZJxEnNYkArxesdPx7zjUfi+PrZDLzLKDLV +R+4K8Dh2Zg4Dz9QHXl67ySaPPOuY+1IMzCvjaAtuoH7ur3RvmsvAqLhEthHy +F2uDPyIyDBx5LLI4Lo5N/h1eFb1qHgP3dPqSB2LZpLYhb7mTLANJWx5JmyL3 +OqW3x8gxcCnM/lr8ddSnOP2rr+czEHh5bNrXGKzn0kVbvi1gIONLQOB6ZDnt +asmFCgzI7Bj5m3iNTTgnu3utFLG+Ozad+hbNJrryni8DFuL/RYQPbET+YnPr +Tq4SA98Tc52So1CvEjUjepUZMFYo7Ri9it+feiJAUoWBvGfPd1ogz1RTDTBZ +zIDLn9jqe1fw/UUuXD65hIHEMFuzP5Fscnbp8qQUVQb8haa8tETete5OYb0a +A3aT0SsfRLBJzJRD3cJLGdCXZ2WOX8bPD/6esXIZA95C9oo7kVfSP80dNbCf +xonxGeGYD2advRyjyUDH2WJxIeSRdedbXi9nwH1zaYhNGJscspBc+n0FA7ZW +GROPQ1FfjZwjlFYx8Fzt9GkR5AMHWD92ajHQdUpxYE8Im6hXnHUO1mZAsirH +IecSm5x4btuXr4PzVaXYykaWXv/ChVrNQPPM09v2B6Pe+X34OUeXgVbj9LK8 +INQnaYuoDXoMLPxapCeKvJsVuMJbH59fkp1zMBDfP0vzU7oBzv+mQJXnAThv +O1NiWg0ZkNPUvv0fstJGd6tpxjj/YhWSh/zx/Q+Oy+itZUDcd3VokR+bPG75 +OnDEhAHhhSHjEshyIfEViaZYn7inJ1182UTsBP9xjRkD+WeK6ZKLbCJ+ICZx +Yh0DMw+m7p2NHFkiF6uxgQHWN+e6IxfYpK9H+MYBcwZqK9nrS8/j+eXiUqI3 +4nkCAgvnIuuFlhWUbmIgoqht2fFzbHJGJr/522YG9kiI3SvzYZMyZtakkgUD +vgoyUrLIDV7s5bu2/n8ehS6fPMsmvnFx7iHb8HlU6USFN+qtenfOc0sG3jTv +O7kAmXs07Z9gO+rFaB3/tBeex3227bwdDGzlzbetPoP56Zx60ZadWG99s2pF +5MfvOxZdtGbg6e21RmdP4/zLyiZm72LALXVO7vtTWN9pUvN6bBgIGipVWoTs +mHrnnqQtAxul198474n6p96kZbYH9ab0DrfhJJvcjwqpO23HgEjI+3NLkEMM +/p15sJcBWqRp0PcEm0w3kFnUuo+BU63Z9s0e2M8nfZ+m2aPepdjXqSMXls2+ +q3+AgetjfSaBx9nkPCV39NhBBqQu6ee1HsP6Vj81SXZgYFuHi7ImslikiGK9 +IwOQ6BJ36SjqxVTeNJFDDLQ76bE73dlkyvOT41qHGTCo7/Zaifxh3d3fzs4M +eATsZsKOYL7N8puMd8H3k0zZ3e2GfvFt5oxqVwaMFIortJGDVpgsnnBjYGLT +w9WRrnjf0BLZrOnOQP3Sw+l9LugnooleDkfx/Z2/Sekiu3xueXz9GAM3r1uG +RDnjfWv75cHy4wxU7rgwSh1mk/8OzNX57YH7bnL2kAEy+/vmcLWTDFwZN22M +OYR5a9diep8n7tfCTpN+J/x9bYRF1Cns33azHGPk39PKi0tP4/wrnV1wwxH9 +UfOZzo8zDLzSOxc56ID6l7mxSMWbgRsrN/01RW4bCTLfc5aB4Yd8l4SDbLLM +2qorwocBL32L5q8H2ESwT9zv1TkG3of6mW5AJhkHVEfOM/BY3ffJbXs2mXXe ++JPSRQaiy8zlvu/H8y7+fcvGF/s93BG2CTmg08Ex3A/1wUJvNHkfm2idC1xV +7M9Agpejw8+9mG9/75vxNYCBMDHrWgtkpakd3xSDGPj3aIZuqh3Oqx3dYx3M +QMC3a/f/7GGTCydaWkMvMfDh4ifx7ch2R6+2F4WgXgwMn3tgi3nT8i01FIr+ +0VZNje9mk7joj38Vwhl4QB3bvhP5enycjPVl9I+slqIMG+x/sZ5paAQDqu9Z +i4SQm9/bny6KZGAW/feqzS42MZ1mnDN0hYG6mGe/H1uj3gYK/1SIYkDRU9tR +BHmaw+711tGot4rnqvfsZJM1J8LuhF5jYL5xkFbODtQnZ3PhlzEM2LhuT2Ij +X5TrOvblOv5ev5e13wrzZYwqXzEOv79L+3jedrzvqO49tOsGfm5t0TINOS19 +yZewmwxwWhYZHbRkk4SyuIDieNy/s6VpBdvYZHzOpwXDCfj7tgX//YfsKjNS +rpTIwFic4Wmnrag/nfVeu28z0Ggxv6PQgk2YcOcVEUkM7E4sMZFAflUXM/rq +DvqB/IKHzlswL1rnvPmWjH7sZTSjZDObfC0ITVRJYcDUeMHpWchrRqQu2t1j +oEiqpM1tE+bTgijXq6m4z4nzjMlGnNd1D/a/vo/64aZzXwo578GZfT/T0H8V +JaYdM0d/8dI8rJaOfmeffuzNBtS7+bHe9g/x/8lYvQwyvST3ekwGA795Yjon +1rPJxv6iwreZDBx2aU94uw7zZPzl/r+PGIgSOE3IIe/cJ6ukmcXAclbGwVNm +WJ9L9s5O2Qys3Jvx5p0pmzwpOJJ38wkDV8MOqSggG/7aIlqTw8BftfYwLxM2 ++TV/8ojQUwbO9EwbqFmL92fR4GatPJyvDd8tlJBz+ulNbvlY//G4bB9jNmlc +OVCR9IwBftKIeJ0R+r/7gGVDAepzFeukCrLUp4he9gsGXOUb6i8YssmzK9Mu +6hei/ujZrGw0wOe56iw8UcSAZ9G1GFVk48yj9fdfoj8ZBH/z02eTcnv3y23F +qG/2y3a06LGJ9lz5rTNeoT68isxdiiyWXiBjBqg3f1MkgnTZpL1x6rA3YcAs +96hH2xrcf9byuselDOz1G6zVRHa8aV7U+5oBCxHFpSGrsd6v2dlSZTjfHdMu +d+rgvhi9erSlnIG0+w+YlciqbMU8/7cM9E38XBeujfWKvlL2rIKBmuC/Kd1a ++P5tb7s/VzJw/GPOpDbyPK2kqQpVDKRcl9kbuYpNLk/4rNpVzcDJ3VrP+1ay +ibDVyqOXa7BeRGiWLvJkXmo21OI8HvM9HrUC58lhwdiP9wzsH3/8jlqO920v +Byu1OvQT0UhlA2S1P1tyD9Sjv+vI+sVoskmsspVsXAMDVvPt2gQa+P+NU6Oq +GnG+7DeuMkYWS0gWE2pGvbhBRcYtw/1L1Y/VbmHgxKEV9MBSNhn4Gr7I/SPW +77C6sSlyRVQNuduKeqXbeDNeHe9/K4oPt7QxsODCkuEvamziPvZitlgH+nuN +2sb1yE5OqbUmnQxMfdeWnKiKenRjbbT3J5w/ce1fI0twX10H92V1MTDX0GDb +RmRvjU2reN0M9A9/uX9nMd53vR7PkullILvSYuyHCvrjImZiWx8DRx13WW1B +zhTrGgnmMbB0Hzc9ZRH2I/Tj1yI+5mfrw+O/lFE/h/N/DVMMqAncrbYhlxd4 +T1vMYP4skH1wXwn3b/PKRfsFDKjvP/3370L0yx8lm6/3M7Dl3JltVsizNNee +e/eZgZZHC+6lK6LeVoXk/RvAfBPtMTqhgHo7UfdTewjft8xlozXyErNJs6Nf +GAgXsBMz5dGf3cZv3fvKwJQEiyEh5MiUibHWYaz36TXGuxewya34fmfxb5iv +ZKqis+bj7zufdqz/jv6pLNwngtzXdNLuwg/cb+1PK+3kcB6CObyno/j8z/uD +cmTZJPvcxTP9P1FPewIb2cj2cROSCr9xPgq2KO2fh/spefGFzR+sv+gLzzwZ +zCPWz12v/MXz+1SUTkOeIcRVKhvDeUj1kTgojX7apc78HWdgRPm9fcFc5Fj3 +ZysmUR+Syh6LIbM63a+4/mOAl7Hvr6MUm1gL3D2ShQSwoT/OvHAO+u0Lp70t +wgKI/OMRK448S8rR6j8RAeSf/dxzeDbqk/pyq3VTBTCFxVpWPAvzw6J2u/Ms +ASQbwNmZyBJbHh5/yhZAbYl0metMvJ8o74rs5wggQkVSHCRxPxuH8xSmCWDe +nId75iAz7qnUblEBvFj8KdVdAu8L9zUVo6YLwHv8yVCpOOpBf7bzWzEBXF2h +sFoaucnYsGDiPwHoHl7mf3wGfr82W1xbHN9P+2Nl2X9s8leYdeqohAA4JvMl +ZZG3bonpSZUUQOiif7YnxbBeFtW7O2YKwDXgwt2K6ajnn5XbZs7G9/0Wy8xH +fnPh9qHNcwQwMHejxmlRPM/rX38CpAQgHhV3umoa7nvB/ITCuQLY8fNCkQLy +Dr6v6Yi0AP4MTPzz4uL8v341umSeAGxmSK+v5WCeaPv19KCsANzHqsKVkPcu +0DkXLyeAeCup9z5sNtHIOLOlbr4AJJ/8kaxj4X3+UqMKV14AC56e3qWC/FP5 +7/S1CgJo+x0Sf2Eqmzw3tR7zVhSg/y7vaBBhk9LlQT+eLBRAapXHfFXkwqfP +fzFK+PuY9Qf8pqD/FCqxFBYJwFIq926zMPp5uJOcrYoAzo7m9qojV2Y8MYxe +LIDRWvOFgULor/bjrpVL8P8MPR1b/7HIFBv9O0JqArjAW35PA3lV6ItPa9QF +sHx/UG/wJItUz2MvPrlUALM2uSl0TLCIbJjXuYxlAghb32e/Alkqlv7YqyGA +muGh26HjLKJmbWM8b7kAtPoj2j+NscioekXOjhUC6Kp5OVcLWa3IYmnESvxc +76L15b8sskRlOPfNKgH4fPgQ3fOHRfRSXE3GtQTQp5ZXo4P8ScegQ0sH+/dZ +hXvlN4v06n72PbZaAMFZama8XyxS/iR66YM1AtCXfHVRF7mpzJXfpSuALfk9 +z6N+ssjUYr0Hc/UFIKIdM0KNssip/yQ9txsI4OWKBjUD5FW7x8zDDQVwd+Nd +p5gfLCJ5RHjJayMBSEmPJwq+s8gjg+Uzx4wFcNSIajRCnu9gxtYyEQB/z97p +cd9Y5IlS6NRjpnh+rr3pwAiLJNzMF3tgJoDY/sGzJsir3yvLd68TgOMtzpOb +wywi33NGX3oD7lNhFn/oK4us1Rx1sDIXQAzVJbMOOezmiZjLGwVwv/jWtltf +WEQicVntm00CEP3UEzg8hP93tF9yYrMAFlE5BRuQDzWWHNSxEIDtKdHPtwdZ +5PSvkEKPrQL4tGhI7vsAi9irXJfL2CaAOYm2lpuQ+bdSw/ssBbDtpEVA8mcW +mRhvF5KzEsC/DZVPR/tZ5FjYnMBdOwRgV1TN24JsGXzxv6idAnjlZjP7noBF +5jUJ7lVaCyDpu8u63wyLZB/0NJ1iIwDln/9ObUPO2CE/qL9bABXiC1Lv01jP +O5+Tz9gKoL2rtP4vhfXOerX/yR4BVAsP/NuOLKZcuajfTgDNUgnL0vks8k5p ++NfCfViv4mq7CR6L/P5PrmnffpzX6MDQncjfv4cV3bAXgO/KkryMPhZ54PQr +s+6AAIqNz3f/62WRQYnoNFEHAYzbFIvaIC/M0c1c54jzJeWv/biHRUoXLij0 +dRLAY7m3B6YgR86Qb3hxSAC/OFfDbbtZZPfs3aPfDgvgkdfHp9ldLHLP/dzC +ZS4CUOLc65iKrCr7a4+LqwDe7R4S2fuJRQyehiamuAngP06hem4nixxQ1WM6 +jghgRd7UnRxk7w1cQ6mjAnjw94PP/g6sz8UpSduPYX/Oz7ub184i9SxZTsRx +Acg288qnIT8wtD1f7iGAuvvqAwfaWMQroenPvxPY3/AR8YJWFgl95h6o54n7 +o6itJYa84/zyOWdO4byI/tzt+BGf/2fh0yenUW/4q86/aGGRrUtk93w+g/Nv +8SVpBrJ5lbPoIm8BZPcok0PNLDK2o6f8wFnU37Ufe4uaWETommfELR8BTBdl +iUgii8sv2tt8TgB3OrKUXBqxHkZ62hIXBBCys96spIFFbttYymy5KABtCQ+n +Wcjnle9zQnwFsConJNCtnkWqGiSESv0E8Lp+bgrU4fweyJsy7i+A3bMWwhzk +NZIx4qsDBeA2K63T/QPu1+oMFc8gAZicuPun9D2LfDbrNc8KFoB95SwpaWSR +bptTgksCUCyaXHG8lkUcDwlnKIUKgMs/uLWshkVetlIC+zABOPN1XechN3sP +r7wVLoCHe8IDT1SzyMb5CqHNl1Ef+rbdfluF+vDxISURKYAUucvP5JCrZzlt +s7iCz0/Xe+/5jkX+ZW4tDb2K/qlwkK6sxN/37DF6EyWAAyp/JxYgx5fmlk9G +C0CwmzvnTAWLTGcr79aLEcD6nZfVq9+yyHvWr29nrgtA6LmfiSJy6O7v8bmx +AjikKLDxLmeRrK1qm4biBNC7/I17bRmLJF/NF1G9KYCJIAl/JeTDN4wqD8Vj +Pws/XPd5wyLdTzVv3k1A/z4ulP7hNepri8OJzlsC6DG9V7gIWaTnxU7p2wKI +asqvPl/KIsu7/E2skwRAla7+VE9wfws26EbfEcDhDLUvi5E7Bn30a5IFEK56 +ZfIisIhxbbc5N0UA6T32M5pe4T7u9LRfdw/7eSx5vhqyXp6pn38qzs+xbUv9 +S3Dehk5mFt/H+fF312spZpHOmZ+7f6cJQGHdT/OlyNZzwuW10wXwzeaLdeBL +Fpk86uJ28qEA8/ROh9YiPO9EbElWBp6Xp3xMA9lnVEzuc6YAZic6ng0uZJEe +Lj9Y5bEAjGTFgtpfsMif7UO/HLMEQKYoXlmOfPKe4pnkbPy/4bs3Qp6zyAny +eLzjCdYzICK5swDndcqlq9K56I82PekrkWdOvlDb9VQAv6cnPwl7hn4QL19/ +LU8AFiYVBV35LHKu8HnA+3x8fqxtiRbyh2MNBtML0C/u73hzOY9FWlo5UzY+ +R/0Qf1bZ85RFLl55UB/8QgCqp/1qdZA/Rl96VFoogNMncusjc1H/36ZGTRah +n6Rubu7LYRENx0W++sUCCMrc3LoG+fr2Hq+zJQLYtCi3/eoT1JcqqXPPXgkg +M/diJz+bRQpyjod+A3z+lyef9JDTD8sna5Zi/vAx74rOQj+8qlJ69LUALo2Y +ddGPWWRBY+hQxhvUh9H7nwyQl19YqsyUCeDDwiOdMY9YxL1/w2Hltziv0tfb +BZks4lcckeNQIYCGM/KtRsijy+exkysFwGqd0RybwSK63xWcO9+h/3QdrP/8 +kEXWC52vk6nG/VSZU7sW+aTMvPW7awQw31K98kY66s0bmbLYWnzfX/deDz5A +fwu32trwHv2j+HyxKXKB3fRe8ToB7DF69iw+DevZ/cd3a70AvOZZZn+5zyKF +290WRzQI4NrXjQ/WIZfNmt9e2Yjzsfde0q3/cWDm8VR93xvPHSpDQsqQDIlM +ZYiSoQFFSRmiKDQoKiQRySeJZCiJipCMlVQkMtbaIpVEIUOEQtxzByEJyW99 +f3++X9c5Z++113qeZ8tCvVq0MnHuZzzPf043fmYyyYGSYBez1iH45+cbvRXZ +UW+L1sU21EuXoZDUDCZZtOmEEGnHvLe30m80nUlelHJHZzqGwITO87BAHkxu +6jPsHILM6eD9aXfRn0dHu892YX7r9dj1K41JSndd6S/5OgS3rJ9u3o58bE3o +r/Fu3B9lvyb9DpNEXfworNuLv1s6rPidyiROXWlrfL8NwcFFheI7kF8fyT5U +8B3zWq8HIzMF18Ncnsrrw3xsHTQ2kcwk/ELsHo0B9De+H9+skN1btq8+8WMI +qhPyGrNuM8nvpp6I3MEhOJldVzmZhH5ws4E1OIR+1GSSuwtZ+IjBHmVqCLwq +Ft3MSWQS5QNLGt3YQ1D7z+jC9C087z5nmywO6rXBy+M2yGbU9NdvXMxLCxJ3 +37/JJJ4FfX7yw0NgvviN8cwNJhmd3LPE9Sfq+YiVsh3y+761r+6MYD03qgvn +JjBJhOKhwK5R1IM0l/F/8UwSGL5w/dJfQ2D6aLBzNzJnnQ7DaXwIWPNqqx5e +Z5JLdk86kn5j3tk1eW8O8rh4QlnbBM6nQmiMQxyT8AY7s5ZMor4tcz756BqT +NI/mJNlPYR7ruWJLQ6bP+ZJ4Y3oIxOaL6O2NZRJvmk9G898haNP9seTJVSax +7PEqFvs3BNsZC//Qkcvb5rXYzA4BVzy63fEK5hP72b9xc1iwibmnND8G9XOx +o9ZHPhbcPO2fyERu5Rf3Xkhngfe/fv990UzyiHJ8vpPBAguzHLunUUximMrg +j2WyIKivWGseclr7yqMf5rIgMGjJAudI7NfH3z4IzWdB9f3aocLLqO9czsYd +/Cxo4a+tno+81citMkaABb82iKe5RKCeGRw3fS/IgnsDBQFFl5gk9BKnRWAB +CwJSU6wFkE0DW322C7Mgk69F5UA45oOHaySiF7Lg6TPHOc/DmORXp+TbdyIs +WGSj0SaIrNToFsYvxgLTQMvHBy8yifzjldu2LWJB3JvnF0tC8Tz7zklFibMg +5KvXngXIGnIbf71dzIKLe33UD19AfQ4O7ZgvwYLh1hf/SkOYpF7T7J2FJAsM +J+w/CSNL8PlXR0qxgLdHP8vtPJNkdxm8fSuN9Ul08yv/D9+//WDbfBkWtNt9 +MRNBpt1cPmKxjAXj6rfFjwYzydpS+8VRsixY8TK9r+Ic1idkjtk7ORZUPPj5 +VBTZOXblf/wK+Ht0ZIh7EJNkzPSRbctZ0DvHY8eLs9jfOioLoxVZYJwXK7kI ++WDPkHvdChY8W/m3zyMQ+8NU/72AMgueixc8eRnAJFkLp/QtV7IgVeRhoDhy +l/GGpzEqLOgsY20+fgaffySoW6/KgqYn3gLEH+dr28EqIXUWzI3Vb1qMzLxo +52ilge8f33r7hB/2m1jW9NVVLDgSftu16jTef94HPmhYjf3Qrqkkgey6lXlg +oRYLtsXxU56+TPJUc1bBWpsFW7YrP3l1CvWhKJQXp8OC1uxLpySRBaPiX39a +g89vWKnr7YP5aaPFfTE9FhwoFvhdfRL9sNo6wW4tC8QeaJZIIb9jqkbfWMeC +OcU3A056M4nAIfeYz/os8AwyWvfaC9e/SC5xiQELam8p/pZGjnVOebzHkAXn +H2wv8vHEfk0425BkxILfVk9P1Z5gEr6s4ckOYxbel/eslkG23iGvtXQjC659 +MKROHWeSV0YPffZvYkFkv0vOm2NMsnjhYMWdzSyA+cR1GbJy7BPRHhMWXG93 +kTrtgb87/T0lb4bzMGrQ9NYd63G3v+vgFhaU/rKLlkVWWexmm7WVBZX/5W72 +O4p5v/JqU785C76qG/55dwTz2hZFZ+VtLLh9Z/4TOeQvgftH3bezYOUp0cP+ +bkySWLI1PteSBSNm9hLvD6O/JxUbsXfgvJY018kjG4vXjmjsZMHHo1f+O3MI +8+tmt6feu3A/I+c16w8yyYcbhecKrFkg+PthrwLyq3tu1qM2LIgQE7kecIBJ +/v77qKlrh/UceLzpgyvm/2PjUmd2s0BiQfjwcmSv+nvCpfY4Hyvj7wS6/E/v +RhdMObBAs6Vte4Mz5qG2cgmjvagvBbsnFJHdCow1zjuyIMZpftbZ/djfJr6W +xAnn5dSoVeM+Jtknv8afth/7IV7szwrkD3eu5po5syDZ2SMjyIlJOsJvDEW4 +sIBzcmzbR0cmqXZbp/POlQXiHs9GlJBfrL0QIXiQBYf77yed28skUizLAatD +LNga9nHDpz1MUlTbsjPuMAvGvmv0KyP3zDKrm9xY0JBRGRnswCR3xH9uXnyU +BRtdQjSa7LF/Yuze73FnwaHnfo0rkdPSL7ome7Cg0CL11H+7meQZ0/Jf1zEW ++D8bF2u2YxIF3af35U6wQOjmhWcqyJI5r/cd8mRBVoyR3XlbzFfHIqVzvFiQ +rac62myD97/7U32D3ixw194ap4p8hDNToubDgiXLElaFWDPJd8fqW16nWCCa +uLCuZRf6y3mNCwW+LCDGFUfUkFMYVn5jp3G9+TfnXNiJ9fFnnl7rj+cRlZb8 +2YpJfIOPBZ89wwJZz89r1JH13W7GVQawQPHX+voLO/A+3GCdPxvIAjXy/nCr +Jdaj9EO7SRALYr2jp9SRHWsmhSLOsSDpjn9c6HbMM5xey3fBOB/sK0pt2/D+ +qel/U+g86vXvxjINZA+tLNauEBascd5gddEC9WTVTYuEC+gnL9p62syxfr5r +CltDUb+KU06tQobtqcrSYSzw7Y+ihW3FPOmen+McjvUZzIhv38Ikeo6nNTMu +4bw59ymsRhYT/lHdH8GC4H6rgjAzJln1eMlhlUicP+lvxh2mTPJm/W8hzygW +pKWl1q1G/qN+vyo/GusjfMEh3AT7A+aEjsWwYGBezLeOzUwycYHfct1VFvxU +fXFCE/nyxBu5c7F4nmJLxsM3oZ8kWM++vMaCcteb/33ZiP4Nt1m06yyQLDBg +aiHrJl3q3hrPgrsZzCuXNmD+8LPvjk5gwf2mcdFOY8x7umVDDTdY4PhNIFEL +mbtwZEbsFgvme5otjTDCea0bWrYnkQV1IplpnYZ4f++6Z5GSxALKS1FBG7lJ +dt75ntssyFV4mxlhgPWTsn2pmIJ+UHdNsWs93gekVfk9UlmQwgzK0kZee2Pc +5dEdFtj6Riy/rI/3+fwj8DONBU5PitK71uH5Rz1S00tHvdzLkNVBHjqenH42 +gwXHFvgnX16L9Vh1UeFlJgu+e85d8lWPSXTkZx/RsllwSrw0Tgf5ie0WU/Mc +fF9mlECkLubnfT79MfdY0FcUFPZ1DZOQuVviPt7H/qeip3WQZT/wti7OZYFU +b5lvpA7m09S9850eskBPbx7rqzaTFMbebEnLw/Vf9nVZg/z1dlxe3yMW7PGf +borUYhKZq3uuqjzB31MztnZrYr68MnvWK58Fj1LcytYgy/J5nCosYMEVETP1 +qNV433wefXriKQuO396Y2r0K938744LRMxZEtzgI6SKHdJxKCi1iQb9r1Lko +Dcyf6aIVtcV4vh2trG51zIMiF4cES1ig0Lthjy5yVtgzeZtSFuwUraqOUsN8 +KFBx+FYZ+pmgs2aPKvLWnKed5ahvnmLJusiab9YLKFSiXzX10qNVmGQ5s8vr +6Atcb+cbz56VmEdeq3blvcT3Kb9p0UX+fGiP/Qhgv1l3G0Yr430g3bljbRXq +2R+hzB4l1F83fY/gV+ivFbbz9JA1tQjfq2oW+Onnn4hewSQlxvvvzXuN+WjB +8sYeRSYxir1nb1XLgr3tD7X1kAf/DSxMeMMC83XbEqKXM8nCmeGW9reo52// +jvUoMMnVv0PZsnUsKFZ9baeHfCQ9NsTtPf79ZEZhtDz2W7jSkYf1LFj/OV6k +V45JVgql2P/8wIKH+xK99JDtLIet1zay4JJa/rtoWbwf/tbdE/yRBVM9HSt6 +lzFJwXY9j1efWCAvLRGih+wwuCx8fjMLOs4cbY+WYRJF+YmHO1twPm680epd +ivfvvtSuG5/R70QMIvWQZeIkpDpbWfAq6kV3tDSeb0fqAYV2FhTcsdHtlUI9 +b6UK3Tvw+9R4pB5y9n/TC598YcF+4Ydd0ZJMsqFBNPBXJwsW3vfS7JVgkgf/ +FrINvrLghe2mUD1khX6OR2g3+nO+QlP0ErxvpuWOvOlBvdwnurx3MZMkR1pf +Ev7GgsYx4VN6yCmV3xXtv6M/SkhDtDiTFB91+5DSxwI7Nx2h3kVM0v7pWej3 +fhYsCNyzVw95p9DUJtUf6L8/I7OixZjkpJ+EoM8g6pNnLbdHFPPlKqPe50O4 +/6iF6/SQ54SZkRkW6v3A4ZBoEXz/qmV5ZmwW1Cyrru1ZiH5z+F96DIcF1p80 +FughR7I6Mpq4uJ876bbRwkxyXOPKY6lhFvApyCb2LGCSqfuqNQd+Yj9PZn/R +RZ48XThwfwTzdrXusmghzLvFqmLDozjfch9cegQxXz9J3rb2Fwvycr3u6iL7 +mE7G/DfOAq85S3qiBLBfWxw7an6z4HHV62U9/EyyRC5bW+gPCzxigvfpInMO +9N2wm8R5nF6fFDUf9dtkjJYyxQJu/kxz9zzUi2Lp4O/TmL+3vhHWRb6+ffUc +tRnUE+dbFlFzmYRhZHDt1D8WyMUfD+1mMsm2K2tVy2ZZ0HbRtGwNsu5tk4Y5 +fBT4fZD/Gclgknt/lc5b0CggC2nK3XQ8P3nm+jg6BZmDP5zWID+ymv3XxqBg +4VhDbCQN7xdL6xrl5lIw3FhW9ZUP+3UqKc99HgUzS++P6SAL//OKz59PgY7/ +rRWRc1Cv1I3CJ/gpOHn28u6vswyy+97C0I2CFITVng3TQX7g+S7yshAFZlOe +Ty//Y5CCJ+EpjQsouF94oLtrhkE6I53KJBZS4HZ1t4AOcvOswndXEQoOqljo +Xf7LIN067YsfiOJ+FAxdu6YZ5Kp+9u6fYhRcWrIqUhtZXXtvmr44BSY5ywoi +phhkVlVm7MJiCq6fEGrrnGQQJ/NW23dLKNgxb/KvFvLA5QcvRCUp0FzSpxDx +h0FeSgSscZKiQGBt3ZbOCQa513+kKFOagkrGEw8t5NVH1Daxl1KwQD42+tJv +BonUl21bs4yCQqXjeV/GGeT32HBgsCwFMc82v9dEnqcyrPRajgJXd3Eq/BeD +eHq2fV2gQEF397d5X8Zwv0Zj6Q7LkUtyV2gi+5rOet9VpEAh7sSm8FEG+bxP +wmJoBQVnmSv3dYwwSPrnlRrayhRcKO70W42896Ll0qCVFCzZEHU17CeDnDkc +ubhahQI+Y82c9mEGiWJXSQupUdC260PFKuSzXjrq9uoUnBY//OkiD9erF7o1 +TQPXq/JzoI2L9T007jm4ioJ3qn6TGsju/r5pWpoU/CrmCV7kMMhRBdHOs1oU +lB53XdbGZpCUmcLl1dq4/oHXqzSQDxb4+gutoWCqRsE4lGKQu+06zfa6FDTm ++Fq2shgE1s0zuqtHgZxy6V51ZG9+Vv7QWgrO9I24XRhikJO2CzR19HE95+R8 +Pg/i+hcvKTu3ngK1K5uC1JDn/Nm287UB7qdwd1jIDwaJjrvOEzbC8766L6Zl +gEFCT9OT9xpTsKxsd7wqcrj2QevMDRQotmxMOt/PIFsnp0U5GymoPydzp7mP +QZQKnnbrbaagxYpKV0Fe8eLM8xATCjiDD7L++84gKiK2t9+ZUnBzcE9O0zcG +uXx5x+VFWyj4j/qdsxJZ0+TIBeet2M+xl3KCe/F8uQ/D75vj3/vQsz/1YP1a +xxJGLCigVvtkKCN/jfB/Yrgd5+no+zvnuhlk08RI8yVLCjY/F7/98SuDWKXe +ZXzcQYFHuWWCEvK12pubpHdSMCnicyWoC/u748plt10U3NsTGt7YySAl1TEd +T6wpaFYPObcC+dehz2snbShYqX7s1NkvDHJpqfJdUzsKtMY2HG3owOcXPxeL +3Y31VZjjpIj8br3t9XZ7fJ/dox2B7QwiGrB2qeIeCqRXmm740MYg2SsFC7z2 +UhCyvmb1cuTkBWrWpY4UGKloyga0Mojpq/Bp2j4KhuLChOo/Mwhf9tRTq/2o +H6JVk/LIrwejTic5U7B86+CAfwuD0PfYbepzoSDjw/jHumYGuQOrJFcfoEB2 +C6dcDnm5lN504EEKxLfXZfk1MUjtjB+r+hDW7+y1mHefGGRH7pw+YTfcj6+h +ryxyhnn8oOMRCg58/LDn9EcGCTvgNpF9lIIO7a1Gbxux/9Y6i/10x+/rZsst +Qz6VFKZveIyCHL9BPt8GBqlY9e1YxHHs77iFfbUf8P2e3vc+naDAWVmmeimy +koQsT8aLAscmoUyfeuz/jgWbPbzxezrfQl6/Z5DD2Rp3n52koKEvab80cq32 +xfmzPhQIh6/RP1mH8yoi9d92XwoSCwrEat4xSK/C9783T1Pwaa4IRxLZ5wvr +8jc/CgRX2NR4vcX9LF0ou+oMBSU5p1NevUF92u4LgQEU7FINOCWBPOvA8KwJ +RP213LfVs5ZBEuMHFEWCKNiSJydd9Rr7cz/3x75zFFzpr+YsRt55z674fjAF +IjfNXx6vYZC2v52xY/9RoO/0MBaqGeTQ1PnTG0Mo2PuJ7SyO/EjkzuGYCxR8 +SxTUOPaKQcTPNbi0heI8b+effFHFIDKlG48ohlEgGdlfI4a8lj575mQ4BZGc +1GvuhEGCWIwbFZdQ7xfrOFYCg0xkbqycdxn7OT1LQRTZ6FzlsF0k1kNtZOjI +SwaReh+wOj0K9ddGOr/8Bc73eHAgJ5qC2KeyfguRHa3KPuhfoeD30Mw6t0oG +efVca/WlqxTU3CiZKq1gEL2NY7c/xVKw1NaycgHyaNkiUdk4CixflgYfKkc9 +7DiRcPw6BbfOzBqWlDHIVMFf+ZJ49CtJuSlB5A0TQ2X0GxTYbZIoOVCKfqU5 +x8X6Js7zlUHf4hLsJ5kLC+7cosDq9rVVAshSQTZvWYkUBDEWDro8Z5Dblw1j +197Gepw4cvdZMb5PN8M1LJmCo8fjHeYjbzPVM/qYgn9/96aQcxGDpMmvW7Hs +DgVx972rnj5DvRlykDiehvMjt8x/LnKEVvfikrt4fjnpK/cVMoj25jo5RgYF +BZ//tOc/ZZATTqO6NpkURFspRTGQJ3u32qdlUbDtoZK+YwGDfLypFMrOpoAd +OTnwOJ9BHDzMSvXvUfAwIj2ehpwx8HDq0n0KXmyS3rDnCYPkmu61aH6A87b7 +6FDeYwapNnfOkH9IwYBz+PU5yE3ODUzvPOz/6dPr7R8xyHUqwL/iEQWe73R7 +c/PQ3xJSfs5/gvU6Unvp30MGSfD4d8YhH/XqhIqaHfJ56/z52QXo70FOH+7n +Msj6rIackae43tX7T/59gPqfu27nxmcUjCiuErFBNjooTLtaRMHHP/X5OfdR +v13Vq74UUwDbDHdO3WMQ/cdPY1RKUJ+fBbB3Iv8wO3PwTCn6eUvo5awcnKeE +UpOaMgr+mTsu/5ON62211xSroOBn3kzFDuR574xWHqhEPbjjvTsji0G+Xw1U +e/KCgkeleezxTAZZWrN6/d+XFPikFIVuR26P3Wa3nVAQ8D1yyd0MnI/KR4FJ +VTifaioPx9IZpLzKL/fHK9y/aLyRBbJuROmAbg1+T6f2A0o5MeZarwp7TUGZ +Ro3zSBqDTPM2XvhUS8HjlBjOFuT0hVe65d5SEC8jE5R8h0GWVThZeL+j4NQO +/7nDqVg/RviLyjrU27e3rpsit+Uv3iBYT8ErjQtLk1IYxM1rTp3jBwpml2hn +c5IZRKwx6OCDBgpaFXPVNyMv+bCZMdFIwdafg09v3sa8FONauOUTno8kdy2V +hP24XNjzRhMFEwal5RuQg7uWavc1o9+OWRgnJDLI5mk/Pp3PFGzvTns5eAv3 +X+/59UIrBYa3yzYYIfvJVNQ0tuHzJOlF3E2s/9PDJbIdFGiMGhoO3GCQFzuS +ir2+UFD8LrNkPbJD2VKo7KTAu79eJzYBz8NNt0XwKwXGPWWPvsej/43n/3Lq +pqDa4ZjSuvj/6Xmc/MMeCvoGv6TGXEc/Nv63Z7IX85+m8KLeOJxnyaZki+/o +73W0SF3k0fa/Q4l9+Pzu0unIawySF1tpMtiP+ue52vtrLIO4vJm+v/YHBdxH +bj3ayEVJuZIRg8jPnHZFXGUQubtlNz4PUdC1TOTllysMsrJhg4wShfN6OVxd +E/mG6fZ8Pzb6+9WSxLAYBtnzfNCqhoPnUf+A1h6N7+vpmVjEo6D82x5PDWTr +tt2PDw9j/Y7VtFyIYpB6dVPvZz8pmDOHZ/g5Eve7pcqAPkpBqklLhiryyafJ +YnZjFPR/ODP3/GUGkXAV+535iwLzDZ+PNUXg/gfH+kfHUT+1ht8rIx96u7/H +ZIKC0M01GucuYX+dchqI/4N6vGD3lcZwzEfk/u/vkxQ4aadRisjPyI1Fa6Yp +yN+WaR4YxiAsT2mjsL8U/Bl1zaq/yCDxC/h8mmcoGH3XOiOP3FHoka84i/Ny +Yu4e/1DUxwLvqdNz2LDuNO/Juwv4fFW7dQ0fGx6cj2XKIvf1fC0Up7NhqdoP +J98QnHeeo/wRBhtWiI0/qT2Pemx77HYxkw16zeV8S5H50yRk585jQz//OruT +/+H8L1V54jCfDXW2x7KqgxlEw6l5231+NpzebjMqgWxszxiZEGCD+VXeRs9z +WK+WF1kWQmz4WLLpCglikC9TModuL2BD3lHzNnHkNiGeOiXMBpW1NIVjZ9Gf +9ez5DEXY8PWVz7EXgQzSuEH7e4wovi83vkAUWeLR04YuMTb0XnL/fSSAQeQT +GmtXibOBOc4zKD+DeWpVcN35xbj/BJXzwsj8B691NC5hw9jfReSQP/pDq+Uv +eUk2XG0omFPih/3Wny/tK8WG89n/Ngoiv9TO2lEtzYZNS2f+cz2Nf/9GLlpc +hg0ijXnlz3xxnhyWNh9Zxgb//QK/5yFvOvNuZYksG4irpNb+U9hvFD1yvjwb +Tvp/9ijwwTwZ9G3MUYENz9ZvTmcgn1lueCJvORvmb9vXuvck5pV4Pd5fRTa8 +2qgo+Ngb+0WKCt6pxAal8qQNfMjMQKZEujIbEnZX+Nh74X3nfnflyEo2eOZF +Z+R6Yp7UcvU2VWXDN6e5n2ZO4P3n2z71m2pssJldNWuD7Ks0NfZDHeujx6dx +7zh+z2XLW/1VbNiZFLJn6hjO5xXtB9Gr2XDg9YPQnci2NpkJXZpsiNkb/DDT +g0GS8kqjV2uzQYw3+em3O+pFZ8TVCzp4XssV/mxHjngwnNK0hg2C10dk7h5l +kHXa3OIVemyYaD2+aewIg3CM73eeWcsGg7grh8yR10gNCL1bx4Yfex3CUtyw +HuU925auZ4PRhzeZw4cZpNLMN97LgA0hUb3EFPn92ZwfYMiGl6rpXxMP4X0m +6vpWMWM2aG+fO8k+iP1mPL/QbQMb+C6LLdqELJyzSbVkIxuOBdeo3zjAIN8s +lB/xb8b91S41HXJlkIChRIP9JmxQ45N0NEI2Lu9qeWKK/f221CvOBet7oDKI +bwsbbpXNXOh3Rn+309PYvZUNPid/xOsjD+l4sO6ZsyEqwjfryn70h8d7Cict +2NCTnFHYu49BjsmOROzYjs9bnCa6yNtd5NzvWrLhvfpgfaQTgwj1iNuN7sD+ +6P3b1uXIIKrludu37GRDKq3omxbymnN/rJJ2scFptRAVvpdB3ob92s+2ZgPM +Mkba9zDIAv1nARts2ZAjlvZbA/mbvkbadTusB71t6oID+u9h64/9u9ng6pU/ +02LPIDnl8sL6DmyQ5irPqiC37snaE7OHDS6yxrPBuzGPLPryqHsvG9TvjMx8 +tMP5etO1QMeJDf8xzaZXIB+/cCno0j58/9iaiUBbzHu00dH2/WzYSKsaqbdB +vTktEaDhwobMBoqSRzYVmJ57wRXr+6vgu5815r8tcZnNB9hQL7yo4+0uPF+9 +r9tWHsL+LRdpkEF2efXnb9BhNozG51b57EQ/q6ipaHBjwxrdr89qrDDvWB+N +WH4U58UgL1sSmbws3H/GHZ/ftOiG547////AhjoP/L1P/CKxZJCW96EassfZ +0PQi31sc+cxNOWXfE2y47dnn6LEd8/3lI+q1nmyQjMk3rdyG57/C00jaG9db +vEhDBFlV1N7R+yQbUiIWLnKzQP2S+Bf6yocNpimZf0rMGUSt3vr5El82vI6t +7xJEftER+Pv4aTb8/HsFXLcyyJWVLibgh/UI7Ut/tgXzSopS8qIzbPAubbww +D3lKKmvGPQDPw9jGdZ8Z3gc0/nhWBrIhKM/dKN+UQeaeYQyJBLFB4q6YJB1Z +xvyX95FzbKh5ZjPqYMIgN4Pj+cqD2SBzacX7h5sZZGYdLV34PBuoJ9GZ/zah +vsts3X44hA3F9WGBtsgFRVZzSi+wQTdoodW9jZhPB3ReCV1kg6zdKvmpDei/ +XexrB8PYMD7aNWKFLH3+xLHn4Tg/48teZRhjflN+t1Mwgg3Cv4fjxo2wfwv7 +Nx64zIa0OFuXbciRG94aFUeyIfrAFrU7hgxyYMGDLQLReD58b3/9NGCQhX+N +nVxjUA+Ev7wwQ76nfD+o6Arq74pzl5LWYz5yHrjHH8uGD18fWnL0MX9UzHS7 +XGPDllYPkU3IlXOYikVxbIjNLWpOWMcgcSfe+PLHs4ExdvXm4FrMs/XnG1wS +sF92/rI3RNZxHNArusGGCodB8Wt6DFITvjGX/xYbhu8fbfquyyAm49Eqrols +cPx6KnYt8sWc5GdFSdjv8fO3Ra9hkMAD57cLJKNfHlKjdeugXpiYcV1T2HCC +1Vqmjbx2ujelOJUNmq8W+FzSxvPU9HUQTGODQ2TDig4t9C//VpmDd9lg1ibZ +roF8x1tq+Hk6G9y2c6IuaDKIYf+WD0KZOG//WRi0rGYQA71tJYey2NAusIq1 +Ejmsy+hxaTZy7O1b51YxyOATkXzhe2yIz75q0qiBfn+ysdLtPvrT4HzucmTB +cMfW8gf4vVGBW2fU0Q+z26dFHrJh5ECCcZ0a+gNsWuWeh/3ckNG3DDlrJPn4 +i0fod616kadU0V9s3j1b9AT1b9Eu9dcqOD+WrPnH89mgtZxbL4nMaJ8+RgrY +cCZ1oZfnSryP75jTtqSQDQtlnwsSZQZJ1m/b5fUM+8uk98Ei5M+chy3VRWxY +n33VzF0J88pityPSz9mg3POiu3wF6rekBO1UCfp5rE+AMPIW45sP35SyoWtH +jvAhRQYpNlJxlS1nA6t4X3bxcpyfwkQ5/wo2vHBL0OdHPtE5h/O+kg0Rvyzf +71dAfRE9XLP8Jc7nnEv7C+QZZK/Y3QdnAfOL4gYOHZmkc5I+Ejy/P2eC9shh +njZSurnyFRsUl2rOy5PFebu06875auw35aPx/5YxSIng8aefa9BPipfK2CJ7 +pwV90qhlQ+ChXdk5MgwS4nt1JuwN6vW7OeqTS1G/bp/X63yLfnlJs2AHcvqt +S2d16lBftTvXpEvjfbnP713UezbMuNOfj0lh3io+oPStHutfc3+tOfKeT05X +9RvQP769KU6WZBDXt5v54hpRj/YdXsOT+N//7+RDBz+yweL92fzNyEvUxRZs +bMJ6fxBQu7kE87xHd/atZjb8m16cNbSYQfbHvrTgtaDejCZLGyHz19/7s6WV +DZGWt+OuieP9xeVy0Z02NuhnijD7FmGeeesdPN7OhtDrcwLXIu9Y4GBt9YUN +UkUerCgxBmmoMdTK6UR9y7Zw/CrKIALfV8jMdLGBf/buGy1kOaml4vbdqFfO +3rrhIpiXZmQkH/fgfDo9u9u2EP3kyAIV5jc2ZMR586sjU5/kzZy/Y75LuXvq +vDDuP1/Fs7iPDYeXbG3/tIBBxoTN0hcM4PtTDhorIZ8POdR75Acb8mtG0gOF +GCS1LErj5SAb5q7+TasXRD06Wh2+hIX58pT3YTlkncPsIW8K84Wa0ytfAcwn +tuaOb9ioj2OlcrX8DGLRdvuzHBfX4x59Tgq5II/mEshjQ7N8w2fP+QxS6hA+ ++nEY91MetprMY5CR64sTVEfYoNHw8NIi5OsTaRsvjqK+TJh0Hp2L99OPLn++ +jGEe+GSpWc5EPxXnf7FmHPPS75rQBcgBij1Xr/xGvZ/zpOkAg0EKQ9qPD0zg +/EbPXV5Ex358UWO3YZINizUbTs5DpoK7LBKncP6iGJVONAah201t+zmN570m +d+4TPnzf5/V7ts2gH7yp2MWHXPX8pk/mP8x73wwTd8/B5ytnbk7Pop9Iq369 +P0snC2dj3+zm40DbgjCF6X90QkzFmE9oHGix3+a2E1ksr3fnPAYH/lw5l5Mx +QydO3yD7AJMDHVZSA7/+0glVWzS3fC7+rrNc0QL5T3+V36L5HHjcetM1ZZpO +/KZ/8zz5ORDefDqZN0UnbQYb/WsFODC/pqJ5M/KOR1Xz5IU4EGziJXhzkk6Y ++8zvnV3AATfW5c1Df+hE3PyfdbMwBwztBM8YIluvb563SoQD26QnHsRO0Mnk +ndd1EaIc4OvY/uXbbzqZzv9xu1eMA0R1roAe8n8Gav4G4hyYvKeiHzlOJ4Mf +UvffWMyBb9RTt85fdLLNRs+at4QD7dcyrq1GfjT5fZeFJAdstSZKQ8foJMSI +7MuU4sCZo4W9LaN0cmui7vRfaQ4k1zfNVUHe70hPcpDhgOLMHvVzI3TSuH7b +24JlHFCL37yz4SednDEdYgjKcUBA+dpJBeST3tFWR+Q5QLfbdM1vmE56l3pk +ggIHnJ/tfvyGRydwNoAurcgBnW/v30kjV2wt8PFbwYF3Z3L6vbh0Ym+qTjUo +ceCQ8LcZwqGTewb1J1VXckDQ5PxicWTZa9f4wlXwPPKC1d3ZdLKXir7brYp/ +/6NzYzlFJ9d3vtq2Xp0DJ2NSbBcgy0gozbmhwQE5vYrDB1h0Mhr5/BVvFQdy +/jM4/WyITh7uu3R9myYHtGclQ+cie7je9szW4kCencNVx0E6KUqtt5vV5sDG +xaOJj37QCeewrbnTGg78/cpOnx3Aeub921qsy4F/5qYPbJE3VLTYiqzlwCru +xOOcfjqJ/Dd2/MQ6Ds4bf+GfPjrpPmN9rVafA8dtAooskasqxkHBgAPuZpuL +077TSfva8r/BhhxI/XK0aOQbnahZNG9pN+KA7JPBp2bIlefkU9Zs4MCLvdWP +E3vpRNWk5G/sRg74+E3ep3roJHPv8ePUJg4YpESlGyMrzY/t32LCgZGjpxPj +uunE+L9PxzNMORBw6vmVvq90cuLYiZm/Zhwo3217YS3y6ZN6qXu3cuDew62+ +UV10srXWxrzInANTQgmHujpxHqxK/y3cxoG0xetsNJGDFJ1endjOAT8XnQ0X +v2A/f7aIf2OJ9QwNV/3cQSfDXge8Fa3wfRKrFqkgr+b2O4Ts5EBhhfp0UDud +RAmkWHbu4oDkvAvfPrTRyeaskh3rbDhwJUG1Vh754luGU4ItBz5Orcw93YpM +zzo9bIf7bw2Krv1MJ1Zbom9b2nPgK1E4LoWcbfLp/X0HDkzbylh4ttCJxSM3 +AcZeDrxXPr4CmulEeq6i/QFHnM9WgVlR5PZfWx9VOnFgw9RMm1sTnahTtQul +9nNAaZVpfsknnN+B6yH+zhzwnP8lXABZ7k7u9CcXDlxVerXX+SOdrHi7MHz1 +AQ6Yyk6rFTTSCV9dk2TMQQ5oXgmfpiH/8xgoGzyE653vUmffQCfp1Q7uZm4c +SFl1OfHBB9xv7TyFjCMcsLoxe2i6nk7ue0sNzhzF/m2t1diJfMs5oczJA/vl +atev9Pd0Il/qklRyjAONtpsqxupQL5y8w8RPcECXjIRsRT6YOx10ypMDP7x/ +mtx+RyfvNUrPN3hxwOuPIYPzFvWANRWrfpIDe383V29ADvANzIv04cA4X2no +9Td0cq3aq2XgFAegaNC4v5ZOjJ5W8pue5oDEg0N/1iLfnDpsme6Heuav8jTq +Na63xPP2jD8HVJ/re3TV4PlyqsecAjhwi56wTBP54ul0p9JADshMrP0UWk0n +3OSXHxYHcWBWdUVYyys6ESi3szp9DvVGz2nNSmQbmlnHx2AOmD1r/3a2ik4M +mzJPrT6PemV0N7ae0Mkb6sCSKyEc4B17vF4OeY5pyBvWBQ6c+EzrOwV04rJt +xSXzi9hPkneja17SSZaT5K6cMA6Ivw/VkkA+cu4/JfolDqRffthy7AWdzDNf +N/9gBAdmfkgGVFbSyaGhYxMvL3Ng/8V6iYXIOw7NH5OJwv4arXl+sIJO/G0k +poOiOfDgE9/uonI6Ua5NXdgRg/1WcnF4LvLliLNa666i/m4wj3Isw/qqf3S+ +GYvzMbtT4VEpneQqJSWOXeMAJ/52yb8S1Mewtq8211H/45V32CAvybigVRDP +gYhb491Zz+nEqzzhmvANDjTpz/X5XUwnrFKNac+b2C9ie2ctkJ8ZKJ1+fwv9 +rIK6klKEevX0/oRqEgdON7yQ5D1D/RC8Exl5G/2k72PmJuQfKpNKg8kcUEhQ +VE8opJNo+47GLakcWBJQ/HTgKa53n0ZE9h0OSKlErNVHXkWNWdDvcoCx8WZZ +dAE+f8hA8lA6rmf3d4Ov+XQSODbvF8nA/qJ5lWsi7xTd1SWXhf3Zq6t/8Qmd +LGpjfjqfzYHsyPVFLY/pRCNxQ9PXHA78jA9avRL5c87vHqP7HIhPmrh39hGd +iBDpqZQHHNikU7CsPo9Ojgt9kZ/O5cDnP1nxssgXP8rtdsrjgPqlJuaph3Sy +3b4poewRB4R9DAOqc+lEU3t+r+QT1B/b7h+Lkc3NSvUD8zngVFO+2+MBnYyE +CqW1FXDA0fUjKb9PJx82dSxcV8iB5gpZ9QXI8yqkYm8940CIb06C6z06efts +SvJ3EQfkZdymnubQSUTblgL75xzYaePkykB+JKi5u7gE9ezh5VcO2XRy1zeT +sbiMA3Or2Iq5WaiXCmlVfuUcGNOICJvOpJMhHaWYlgr06wiHb1bIvt2rDuq+ +4ECJ+37j9Az04/xK0xsvOTDgnpg4mo76oP5L5xdwoE9u3k8z5BfuOat3V+H6 +VfK2Jt7FeflvcG3RKw5QUmEprDTsB9EqS/EaDrCuxPIMkdVGtLz8XqP+S33Y +GHsH55UumdJSy4Ewxw3XelPRL84UfdZ9y4Hl/d+6dJCB/Urm5jv0L9sSlUsp +dPLJNNBnvA79x+ilb1sy+o1X+Uf7eg6cNfhdroqcuijD+PkHDpwbcOELvo37 +aRAsWdLIgSefJ7Y0JNHJwN3VxgEfOXAgi0TKI7NLXje2feKA2GDpO99E1OtP +c07qN+P69Xvnv76FrD8ofbuFAwe1126VQPbZZNs8+ZkDtR7locduop6ZH0xy +auPArgDPioob6O/N845XtKOejVuOLUCWKNlvIfMF88q5vaoHEtBfz5mv+a+T +A7SM686F8ahvd+rVurs4IDr7+xoD2ezg7OqN3f/T40jicJ1ONp18tTG9hwP9 +NWbDD+LQv/mNnPm+ceDXfg2Z6Wt43lPWlw99Rz2M3WBuhZy8f+RFdR8HAn8G ++dyNxfMK28GnNMABFZlviSNX6aT/wDabiB8csMz1eWGKfC5y/PHgIOY5LdVv +N69gXjRfJ7GNxYFTFgL0oRhcD8Pw6kMK/TV6kaIB8rRS50IhDgfiYs02X4mm +kwJB6bteXJw3TqpzdxTmo+wFho081DcjmUAt5I7UzD6tnxzIXfwq7mIknUj9 +nEiKH8F5EI2933KZTvY1/Hb6NcqBqNqQSmXk5prLqg6/MO98uNUYGIHfOzXE +KB3nwJ2XTb11l+gkb3KIIzWBeqO95qcM8prNSd/O/cF5fVEy4x1OJ6IP+fq+ +TnJg97Qrf1UY+o/UspGN0xyIuai+aBFy/8NWwcy/2P+U1NIjF+lERdFrDeMf +1qteTaEkFN/nd8v96CwHuC+dlfiRe1TCH7ydwwVtp8KV+y7QyZMOpd9qNC6M +6amoPA7B/j972voqnQtzqZfKs+fpJDblcskwgwumwmcUbZDt+a3UbedywdjA +SjbrP/SXRe15RfO40MQ0kxgPRj3Zp7Begp8Lz+c7CZsjv3oj23xWgAuxX2Lp +t8+hPnz5cLZLEN+/6PtvKgj16M3uVRsXcOHjNrshI+TYzGBuhjAXHi353hZ7 +lk5Mw/4rZ4jg34vGvu4NxLyjvOaGuygXkj46PNVBfjL+KKhOjAsCXMOU8ADM +IyPfvVaJc6F2xiis9QydhKZ+9YpbzIXgZMdjKsibxh4GjS3hAnG6bhXkTycx +tStuOEhyYepzn2a9H57X7oPlZVJcKM6yFpFFbn8UzZVZyoXz+9p4J09jHrA5 +uOqCDK73RsD7Kl86mQn/ebZvGRdEBrXuLUJ2We3SvFWOC09ZtJAjp7D+Dcnr +H8pzQVeXa1/iQycpqzMeLVjOhUHnYTV+5DbvExqnFLlg9G/+P6eTdOI4OVva +soILcY/WNz7yRv+97Garr8wF6zmhaf+86IThdPtPykoulMZ1n7BGPst3NW9W +hQuK4zbrMj0xz9T6nDisxoXRmi9zfp2gk/N7pfTfqHNhe2Lg2y3Ih7gXRdVX +ceEKXT028TidrNd+NRG7mgus9BEb1jG8P+3op0Y1sT5z6xcZIifPbaQctLmw +pL6s+YoH3k90sybKdbhgEFl+vdsd70MmpqJyulxwb/pgpYVceTB3XZgeF/I2 +j827eJROamIZJwbXcsHQS400H8H7SK9MnqU+Fyw4vmeUkM93Sv3JX8+FRvt6 +tQA3Ovl+Z8RG3JALk5vWfn17GPsj4lFpoBEXOs0Krkoj8+9Yr/HVmAvRf9Yb +eR7CfDr14tHmjVxgjDUNvTiI/dtNM7i3Cev1PihhIbKstXqLgAnuV1Lb6OAB +3M95zXMnTbkQdWr8e6Er1iNBRbPFjAt7vd5cZiB/1Z0Y1t/KBXrWPTUHF5xX +WsqLO+Zc2Jkb//6+M50su7Q2ibaNC+slYo5P7kd/f50b4r4d9xt2bZ4l8vuv +C/zqLbmQeOluZuo+zDdCB/21rbjw4lm5Ic8J85Z8ZNitndhv2b1NG5EDtDLT +pndxYetPEY/rjnSy1O1q7QEbLphrWE5/34t+ox48/dqWC83DsVd0kbPcDxur +7+ZC0afOpRF76KR0YtmVOHsuvPPQzm1zoJO5a+oHxx24cMfymq4qMuXsYL1v +Lxf4RMdfBNnj/YT8eE0cuVCz69CW+t34u812C+V9XDiU1lq3DNl78llbzH4u +ZCTY7DxpRyf1dov8Rpy5sK62qZHYYt6ePbxsjysXcuodd4khB0wnN1cewH41 +/lF/2IZO/nZX3Vp+CJ/PD7AotsZ5DB0+GnmYC/5lC17NRVavGjHluXHBZ+T+ ++r27MM+Z0FfvPsqFzbwt+bk78T40R0qp3J0LJ7YOLp+2opNydRFV+WN4PnEx +N3YgO32ebxBxHPd3SIeRtgP7LXXOXs4JnDe7zlPDlnTyrnP4oq0XF35OXvq6 +CXkL52N5qTcXWtna5vHbsb+Yj2ZlfbjwCbqf9G3D/nt/x+bSKS7YCF0R10PW +afIqYPtyIdV9fWCEBd431a1kbP24IOrxo6PNHPN5y9qbpf5cWJkdv14V+W6u +5FK5AC7wFxonBm3Ffvwz+vhSIOqByuDo+y3oJ0ONVpyzXLiWGrtjGXJ/f+WU +7TkuvM9Zk+1thvmg+X5RWTCut+PzJJjSScv+rHPy53FeG/2sRJHP3r6363II +vk9G5O4hE9zv7dtavAtccHa4z3u2Gf2HkyNrf5EL3uIGRkzkW28rpSrDuHCE +8+aywya8L9wdVFC8xIUAP+tP9zfSSWLx3HXREbg/k2bJyQ3Yv0abHEcu4/q5 +u1y2I1eH+kXujeJCF39tRoox6oPT2xqI5sLf1Xp9HCP0jzx54ZVXuHBjNHX5 +BuTendfdYq9y4QH11/WaIZ5Xr9Db8VguyD3endJrQCdX36XqO8dh/T5mtWgj +FwYZPq+5zoXDLJZg2Hrs730DmzQSuLDsmvLmFn06qbV71Z5wA/e7x9FPCTlk +cdp/0zdRP9tCc86sQ32SuqB5OJELZ3PutrxZi/WTusGrS+LC3T2FfFLI0+LP +y3WSuRAZVqZxXI9OJvaNJCSncEEDiuwrdOnk6LBZEO0OF1anZwULIe/cl+t1 +PI0LbpWXMpzXoN8KbfFuusuFlFynmic6+P3PzecMMrjweEZhYFabTqZepdzK +zOTCip2ddBvktT2XXgpko/9pRchnatEJrTZkzDeHC6GGyw3HNDEfz7ul13mP +C0/o+XZmyBMC38NNH+D+5DSO31xNJz+zTL7l5XLBVfH2+R+rsD7Zr7eL56G/ +3huPW4ecOONXFfyIC0rGmzMiNfA+fHzLloHHXHj537n8DnU6scw2brXKx/Oc +yapQQzbq3uX3vAD9xLb89Tk1vA/HhMrJFeJ6RV9+qFfF+00+1Xb5GRd+NT5p +XoYs6Rp452cR6pHilTZvFfxenpaP43PU/0z7DlhJJyeXyVq/KkH9+ibQIYJ8 ++Ng6Y/UyLpw6k9d6UJlOxvvC1t0o54LE77VNhUp08uBV74aZCi7I/370no7s +/jPM7ugLLggJLajevYJOEhg2/o0v0a8/OJTmKNKJtMCmbH3Chf8aovJ+L8d6 +Fp3uzajiQnVOTqo5cobVR1XBai7MGcqNSVKgE31ltwt+NaivarcCWfI4Twbi +/V9fox/Sjh82QHZ7K2pv/gb9m6m0I0YO9aXQtLngLerz21qdLlk6cdif7yJd +h3rZu1NiFbKWmMlE2Hsu7O6rnPxvGd6n/ijd4dajfxwR+dIgg/vhM7He08CF +kWmLUjnkvuFzIlWN6AdGR2/4LKWT33x83WqfuBBf4e5dJY33S6220htNXMgW +ttoqhmzv1Jr+r5kLhXWLZQ5L0YnJJZFbHp/x++FVw88k8b7mcSupqZULrz/t +qmIgCzlufGDUjvvfSuLsJeikwdrg9b0OLuQGirncW4J+pnljWKQT++vvFtWJ +xajXr+euPNeF5+vuNGqOPCv9+cTAVy4EWe0qSxJHfysaeLGrB9lsxXnWIpzX +9tXLynu50NfbvskA+cGz6qgV33G9JZ58MWKoN6lP6Nf6uHDbuQc6RelE7EFD +9GQ/F465awVrICubmcu5/eAC7bjr2v9E6KTk+l/SMMgF2akTvA8L8b45LOSz +nsWFC4/ss2WRM1baaWRTXGhfLLP3pDDmaa15v4U56Gd1L/nJAvSPA331Z7nY +7weMy0SQazJXPO3nceH+8cSjB4VwnniFmbt+ot+drxctFMS8vCM1o3wE9UK7 +q5yGPLju82OlMS7sX1J70E4AOcbhTdwvLohXR83N5sf+H1flTY+j/r9Xzv01 +n048KkyWu09gHnmdum0LcuC7lsNNf7iQacoevDkPz0c+t9B4CuvdKRr+Yy6d +LMitE86dxvlWEJFdh6zVvDNQfIYLng8Hii8zsf9HTIZD/mH+EIi3bGfQyR/B +kNPsWS5MtIj3qCD7R/9j7OHjAbnr5XOWjv1YM571isaDu/9SZt/R8PmtO6xX +M3ggEHH3ijQyZ2qKP5nJA+u6AIkTfDifMXM/MefxIN91RXrFHLy/mLvnnJrP +g+Av2cpCyEr/jC5/5eeBaOOfh/tnaWS7tfuZbYI8CP0kt+rxPxpxcpvxLRbi +geoZqcczMzRy7ul4sIIwD7RsBtR2Ipe4m9y4upAHvb8v3kv7SyOUBLNsUoQH +G6dH5IanaSTETIZ9RIwHQaPaiRuRxf48V2taxIPXPiZCcVM08ndxesCGxTxQ +EVAM6Z2kER2T2U8Pl/DgqW3zsBZy6rPa9RKSPIjutnUJ/UMj/WOcJ2FSuP/N +GXWfJmhk4PtN7Z/SPKCJvNRdjqwynFu1Xwaf//og1fc3jfSsWOj6bhkPCjYc +pFWP00ih0yz/Wjke9NT+OLII2cRm/6tMeR6sF1j/5vAvGnncsixy4XIePErd +o1w0RiMk8Ni+YEUeCIuZhDGQyxNFjFgreGD4b+Lr7lFcb4CymoMyD2TGA9fm +jNBImfR7peqVPIiIrrky/pNGHMaqVmup8vC+/qV3C/JfDbstd9R4MNRTpnNr +mEYS3m0/JqDBgytvDl38waMRn5mK5IBVPChJbWlciywbnNXRv5oHq8eEl17m +0kjUsKCyrRYPsl1E3do4NLL52/cQ0OZBq2/nw5XIVzmbBjXW8MCk2nM4gE0j +1dSy/cm6PHjcV6P9lqKRX4Ie3fPW8qDYve+UJLLfAitv/3U8aPj+Jt+Dheuv +ui/Yp8+D9KFT7NIhGtEP9X9ubcCDOqFvK/iRdUI6vV8a8uDBd/H9joM0ojb9 +UFfDGJ+fEbqe+4NGNFeLzU/egOsfeVs9OUAjNoEjQ/M28YBlY/FrG7Kb7OE2 +/808KHoavTy5n0YU7jg295nwIC772k6qj0b4e2q7bMx4MPbCIdAA+b+f9WOw +hQfS13vuRn+nkeVPt0iuNueB+1PV11++0YiZk/P2VAse7CjUHVJD1skSiBbY +zgNKeQ7/uV78+2fqbYGWPLiXGbPyfQ+NrFg8qj24gweFpa2mS5FLErSS7Xfy +4MjfXucT3bgecTGRml08aJvz0L/iK410eHsm6NjwYKujdowg8uypMysybHnw +J+lM2r4uGtHtGn+1cDcP+mzP5ud10kjGQ6mT5+15sE56/cvpL/i+eZ0qXAce +yF0srrNE3jhX8ee+vTwoXcZrSemgkRHPXzV1jjwYDfnexW6nkUsGx+6v38eD +r4bx3w2Rl60KTXywnwdp/X8HYtpoRNFr+U0JFx4wFywf7GzFv7/mlh7hivNj +wfdDHfm/bevKxg/wYFIl+fu5zzRSN17Q43YI9cCE0/W+hUb2WFUtajnMA6WV +Ey1LkV1f+9qbHuGBw/HyuhPNNKJR9jq78CieZ5rey4omGnly7jHfcg8eWOzx +yBdEDi+09bx+jAeZyrZp+z7RiHCwV/+cE9hPd0ej8z7ifs9bH/fxxPXYb/Of +bqSRYJcXMz1ePIAOe2dL5PTdX9J2ncTvEQnTlAbszw9PrMCHB6dSYpXZH3B9 +5RICmr486Jwpm2eInPBbtCXtNA/Ugm7/iK6nEfeBz3nC/jyQzdKo/vKeRhKX +614/fwbnQ/D0HTXkqys2hPMCUA+2ePoH1dGI+t7pcJezOA99EpZ173DeL+1J +aAjiweZAf1lp5DQfn/wNwTjvt8KHj72lYT7X7XjyHw+mP5q9LHuD5/U7XUQu +BPu1rDiaH3mVfrH9tQs4z32tux1raWS9VsyD2VAetPfcl8l9TSOfphfx+4Sh +/pmofP9TQyMeuUYBveE8uJm6J8cCWd/cYMw6ggfbQ/WOJlXTCPNNa3DVZR5U +XqxaMfSKRhryV4jrROHza6Z71yHLBqmUZUbzgE/pe/LlKhq5YTF5YtEVrB/l +b9tGaCTF76hG+FUeXF38fN5K5NKMu1O/YtEv9DPLzwCNbEm61XokDuvzY/2J +2pc0Imi2hrRe54F4QbDUEuTF9o9LzBN44Kty/PWRF/i7W11l6Q0eXP7Gd7K4 +kkYmWisbVW/xwMXLdAkT2XmR3c/kRB5ouKyu2F1BI82XG2SFbvOgfssr5+xy +GulbxHb6L5kHns//zYyV0cjuW53ZvBT0J5O+FFPkLIPzf13v4HqDTq5LKKWR +Jufpg5/SeDA1kvnxewmN/LBa/9kknQc2Bv+56yDPpa93KMrgwYGBmenQ5zQi +Y/K7XymLB5KXVsR+Kka9h6uhidk82Jv3c5kCMv/UiDr/PawXdTDPp4hGpKUE ++4Pu86ClKWAteYb6u+RPLucBD3IntGEh8q+E2v9cHmJ/U9e2uBbSyLU3m1w/ +5vHAw+j6uydPaeT1xzs7TR7zoCpEz/JfAc47X7Vl0RMeCG0NrrNCDup766Bc +gPtTOGJ+J59GHlVHnkx6iv2VOVzFeYL+uVj5lsAz1Jd9Sw2MkCtX364LLkI/ +7R7Mj3lMI8ZCbKHhYtSrit2KnY/QzzzozgdLcL8RB2+oIZvSx8ubS9FfGhfQ +g/Kw3u+LlLeWoz+vdDz57iGNbBN0SC+t4MESBdMOSeSQLz9Wqr/ggavV+00e +uagv3dov7rzkwUfjkZySB+iH748dECE8eBVWNH8ecqVKsGhYFQ9SCsSPOdyn +kYsSrh/HX/Gg0V70Tc49nB997TseNTxIZjxcPp5DIzSttwGdr3nguLP7nBny +8G/7Azvf8MCr5nFTQjaN0EtrHKre4nlOSKzsy0J/WLFon24dD3YFyZzVQZ7n +sc7r/nseZHWVvw3NxPUk7L4q/YEHxgWjiz9loH8I2lZcbeCBQkT1AXnkUwdW +Tcz5iPMzrJF7Mp1GkrRHNvl94kH5f6uHX96lka+3CpIGm3B9VW90hJHfLLH8 +59TCg207/px2TsP3j1afaviMevoECh/doZGhPWvGNrfx4EzQsuHpVMwzjrEX +i9t5MLBRVNUSOcTvi5zqFx4YxSUfSE6hEaEaofepnVjvv6U3Wck00n7bNFzk +K/Jiz7f6yDtOHbQM78b58nz25/JtGvkgcVz+Tw/mneuxym1J2E+qbnTPbzww +XzJjo4wsedXkV893HpjF/AvyT0S98tEas+vH8wqNz6i5hXkhXHTO2wE8/6jS +14uQD5/9IG00iPVc4zN46CaNaFmkmxYM8YAtWja38AaNcGsOBK2geDD7LF6R +D3li/0L4P4rrO56q9w8A+DmXiEqkklmiIStSRMgKDVGJUmjYs5KRyEhKSmgZ +GUlUshLJl8/JKCuJrKRSSIp77jUSuvf3+f35ft17z33O83zWc/cXzleP53Qt +E/E87taKLBodgz+XpqzTE3B+Sg49HT42Blo9FzzG4hlU5+S6/knmGKir3w3V +Ree+aDrqzhqDo6v142JvMCjBTNfhz2w8b22/e71xDCpGUDJ8/8QYVApqPtqA +vvz9xbr6SZxn5KKLg65jPiW4ftr2B+v58pPl9dcY1N81i9OLpseg/fTbSjF0 +4rcqn7UzY+DeUA3OsQxqptXdImUW+8ljI3h+FfuP5CYd4X9jMPBw73+86Oiu +0c1RHOx/FkOl+2OwXoRX6c1wx4BHnb/g/hUGZWcfbu1DMiGgv+gB6zLud8zB +cwMMJliMDt7Zjt45q/f0EC8TCgbvX46Lxv7/SG2sZR4Tvh8e9v98CeuFnZyu +MT8T5PqeH1dGq93fmlw+nwlZc4K7z0dhfhN75qkKMuGC+Q/1posM6n5QYOiD +BUzo2r9TTAKd4VQ0T2IRE4aebPrrGsmg1n38mxwnxISb/fe7yyLwvDbu1psn +zAShqDvP+dCGgzXMcyJM2LNW5IZ1OIN6tVOngF7CBA/rxa4PwhiUN3w677yU +CYb343XHL+B+/bxl+2kZE7pT7wgbon+uOWa4T4wJSh2r+m+EYr1nGWvXr2AC +T69SwZcQBnV9n/p2PQkmmOtVnFNB1/6yOVAiyYQ/15uMQs7jPCF10X+DNBPK +jxwVbA7G9b9re5ghwwQnTd8WCXQEj/bg8lVM6M/nueF2DvNxcaPaNVkmwD6x +vS+CGFTz39BYHjkmvCt+vIAfPS96+2SQPBNa7CvrrAOxHsQaeNJr8HlDFiEP +AhhU0ZwFy3kdE9b22KuP+2O/Ph59sW89Eypf/x4wQG+52b3mwAYmdOhN37xx +lkHde3a8o1GRCV9awwy/+DGo5auFEg2UmeCz8NKoMnqq9qP9CxUmiIXz3z5/ +Btfn3q6lupEJx6t4tzWdxvqiSco+VGNC6v6QL+LoCGMzMelNTLBt9Q1zPYX1 +uLZV8qYGE/7VfJYp88V6cNdHZcEWJnyrfP1yHvpzntHeCE183p71Bw744Pk9 +Ohj6V4sJH0meX/e9sZ9fiKzw1WbCE/eDF1heWJ+fjvAN6zCBu3y1yHZ0TWW0 +o4MuE9bcdsq47on1d9y2vlOPCe4Bq5T7PHA+3WCjZ7Ed4898X5kiWsruXnWd +Ae5f6ozeOXecnwwXW+saMcGGu6K23g3vI0MlkyXGTIgnnu4QQ7v/jnygtIMJ +d1RLXzu5MqiHg+nHHpgy4bKkhnGJC86DkVwlKXMm+O1fCwz0o9rLfDd3MmGv +c6ymlTPO9yW2Ywt24/59d3qa7oTzTpTnQOQeJvTaFq8aO8mgjszPGZ61YIL3 +wVPx29Cvrm6cPWPJhHr3+9yYEzifuJFSv63wfORNPHqOMyje+by7Tu7H74se ++rAObXj85OVPB5hgV9en7X+MQZ0VG28/cBDPr6EtrdYRz7ugRfmtDROu52sS +oui8V99vmRxiwm6ehQ7HHBiUI9d4YdVhJkQe3FtRYM+gdmwj4rccYcLwFnIZ +5yjOf6tm5QqOMmH5JlnP3ej/BJXr1jkwoaQnn0o+wqACT9X6ZTgywbX80ZKf +dgwq7N9tdfHj+H6OIsc10Vqu9Zz4E0wIsR/MjzqM9We5Wo+gExN+bV/zt/0Q +g6qXHX8V6cyE0tut21ejr/sIlc+5MEF3bCjK1xb7g7BX1Vk3zLdOl/oqGwb1 +a2BL25g7E3w/7Zu/CC30SHPCxZMJi27kmNgdxHnWNkm+34sJCy44hT2yxvcT +dDhx2AfzSzP2xZ8DOA+VuhS2+zJhwExyzOTA/+/ftQv2nGbCzu1LZG/ux/77 +7tLZ12dwf/N8rb7tY1Cmq26N6p9lQpzklgsb0fyTy/3K/ZnQJHn8cagVg7JY +PDR/UyATTupMtDVbYr0yXpKXF4TxM//3tATa53fS0bXBGF8i5lJue/E++yZC +OuM81pfvgrplFtg//7X+Eg9lwlYhNbt5aP++wPrEC3heMhX++/cwKDLyxrNF +4Uwou58bl7kb99dvPC86gglt6/9mM3fh+usbS8iL+Dy9vHJd9NdqgabgKCZk +nn7VeHUnzpvexczJS0xQ3afV02OO807ai9W+lzE/PYQH16HHe9edHLmC9XK3 ++dhZMwZVGDK/5ORVJsyL+DZRY4rxxtq75EssE6RSeqdF0OfeTYUeus4ExTUa +Mw478L4Sv2SmPY4JrU9/TT81wX6rlx1pEc+E5mpyctaYQXFU70s2JOD+s86O +maPzKkSqjW5iPaw3HbxjxKAKYkb9q24xYeSDf8+gIfbzPTu0t95hwsIHjKZN +aF6ThQtL7mK9qhkpDzfAecRJ/7dKMhNyXqk8fLcd+4/i14+PUpggodgSJ40O +C+Dtlr/HhLpr9f4e+ui+gu/paUyY85e2K9fD+qVR8U8iA+u9X/M2fnTTTtO1 +tzOZQIh2SFrr4jzAu+OoSBbWm69bpu9vw/XteHc/9gETzruz3tM6eP+90TjF +/xD3X5f3kR566p/1ocgc/P9h75BYbQb1oMGokZPLhDNTG/d+3Ir9bmON+bnH +TJCfMpdZjybvv+6afMKEcL/ykbNaDIp9ZpvfqadMuMEJLanRxPgK3LZyNB/j +TTY5WAR9Tep1t2shE+67C2532IL5bt2TMVDEhEnnd+TTzZhPAacDHJ8xIShr +mJrRwPlb+tKRTyUYz0+tQ8zQz8tWW9qWYj8VWa55exODIvrs9n0oY8L0EYWx +7+oYv3GiJyzLmZAvFXdfDd3osDui+SUTsvt2HLighmZKFpr9h+epZMnzdiP2 +28/+v2srMb9vPy6QQDuKe2kaAH6ea33IVZVB/esduFFJMeE005IoVWFQH4JH +prdWY/7/SXnAg7Y9GOtTWsOE2j1bdlgp4zy9682Eeh3W89CVg2lKmG+rb14u +eI0Wswn/rYj1XuznBqV6zI/sTxLa6MyJ9725DUwIfFZQFL2BQe3Vd0pZ04T9 +7907kw4FBpU9GOt2v5kJ56K2da1GGyrq71jZwgSr45NOvuuxns88UEt9x4RQ +9l9W5ToGdfXxVUXx93he1ebBC9ClOdIat9uY8Mh+gDy0Fu9HFgd3iX5gwrP9 +DVEP12B/0ZM/daMD31d5mm9CnkEdWx+fvaiLCV5BvlEG6IWut4djupkwVa1G +xskxKLGjZtrzPzKh4bbOuU+rGZRVeE5yVC/W0/BrtAK67UW8AE8fE9SF1p0M +kMV5zmFrdNhnJrg18nfUrsJ+uC9IlPMF499A1WgJ2mmrXX5wPxPyiHv5DisZ +VMNB2ubvN+z3iZZiT2UwnueUhQMGsP5HmYfMSON8pS/RNTGI53Ei+qspOk3x +Zd7pH0w4Wi5gcEsK5wfZefH0MBP2i7amfZNkUFyRqUjvEZzP/vX8VUV/CYiJ ++v0L+zVj3b4QCQb1bFnPLfdRJkQUluY0imO/8vtRMjzGBEbC5RkxdNa7lG/O +NMb7ptSdTisY1K7NMzKDLJzfVrLuFIvhfOoj535iHOeB75e+cZczqOLknzX9 +E0wwXXB0wx60t1yEkuMU9iPZMz7JyxjU6ocvsj7/wXpYXF/0YynWm6BKhaN/ +mcAyP8rSQPN7nq7qnWFC8JmNKhGieF8T6Dt2eI4Jr18auL5bwqCC7MilPf/w +909upEuhf52hP9hwmbDtvdQHNxEGden73n0eBA2hZYPzyoQxvpzDXm0gafj5 +c0SDFx1psUJrBP1tXPGY1WIG5da5qPQRgwaWY25MmhDW92pXHTceGpL+cyj6 +tYhBfbJaUb+elwbpBKsOLXSuwJYjw2ger5CpqIUMqlWh5E/OPBqSu78tbV+A ++6WWmuzCR4OhY/jGVejnTgPG6/hp2Bxna+4liOdzLXpqCP2CdnF4KcCgtqak +FTycT4OscMFpfnRq2lJfZwEaYgOVIw/Mx/q4n625VpCG9c+/3cjkx/louwb/ +EHq1VUvKGB/Wv5Of+7IX0JDTxczSQb/6M1nhtJCGgvYdjy7PY1BX9nlnrllE +g01r25MOXpxXsvddH0QX2SY+WY32q0iLyBaiIfdPdK4PD56nsV2o02Ia9LUK +7//HYFDfJELD1wjTYJe9IFkA3Vo1P3YQzdeYdP0gifeLdJ60bBEamBsPh2UR +DErEwq3MaQkNi5x2+9BckhLdZNS9RpSGTSwfO130Yb0IYggt4lhrHMMhKfED +ahsfLqXBf5u5Ytc/krr7a7+L8zIaVEU4QvLoPVID2WuX01Dv+o3pO0dSZdv6 +fg2huW8n31bOktSu3J1bc8RoiGjSfCSIrtuw4brLChre/coJt5khKW2ekJF1 +4jScLzexefCXpN5sNbQYRq8F4Q2saZKK0PMtz5WgYXf0/Bld9IMacSU3SRqO +pCq9iflDUj1rtj5UkKKh7vL5+K4pklIXqF83gl7a9cdWHq37vaHwsTQN50TS +pE9NklRKirGBhwwNntXeXyonSGpWdmOP4koatP3c0gTRRSVJgb/R+kXXDtuM +k1TwzLmVT1fRkMXTK/qAjetRb3zrJUvD40nLRppFUuE6SZEqq2lIE2GG6KLf +/fy4nYk+31+iEkOT1DXJjHmFcjTEMDM/dTJJavjWh/e+8jR01D2PlkOXnL6S +rbaGhutjTFXfMZLKuFwcxkbHj+/t+G+UpLxa7E48W0sD6dARIIAeHLu8x28d +Db0vL4gd/E1SrXFy+pvX0zB9w6Lk/i+Saiow1ZpC7/cwsGCOkBTT4ZtWmQIN +Q+02gzpoF9l/2wM30HD8QHzQ5Z8kNfUgwXKrIg3F/qOCHcMk5T7+2GUGnVHr +kSSLDvLZealCiYZ/bxas8f5BUp8D7fPOK9NgL/j26cshkjpZOtOjq0LDrWUF +m/jRS2XFF3PRe88Ule4fJCnlcy93Uao0SD1t35IxQFLC7zvjwjdi/u5eVvL7 +O0lJTAT3GqrRENx7VmUrumxdlgqvOg0rvk9kR30jqTTN3Vfq0ItG4yXa+kmq +Vyj816VNNHRF7I6VQav56libadAwoSw/6/6VpA7WnHotsBnfJ2CFS9kXktox +s1W/CR3+c30rDzrROBJit9BQu9B6i+VnkhISO2hqoUlDlXtqUmofSRk75Xcu +1qKhMpbzd/gTxsvV217v0dzZczab0ce28y5M3ErDJwOR4vBeklq/5F/RAW0a +DvygBFo+4vn6RDos18H4OHvFXgL91fXq0m60mL97oXMPST1Nkn+ftA3Xc+oE +t7ibpPQNdt6y06VhCevMLm4XSbHapx2l9WjoDEm5uQttSutpfEF3ZfR8vNNJ +Uqd0Fy/O1KeB/U1ZZqCDpFQPubKOb8f9fXvHfiPaXc2mV94A68Hw8tTzH3A9 +Dc3NQ2iPysed9e0k5cfoqss1pGFNxz6hZeg0OPPa3Qj3/4WQ0bE2kloe9KBF +yZgGXrrP7+l7kqoqdvs8hk7npbL+tpKUN7dystCEhtHQkncm6MuqmUvP7MB6 ++ePldPw7zN/fy3Q2m9IQ9aZN5nMLnu/fDW5/0NyHswYb0HY7XqeVm9HQJLT5 +uP9bktp/hNsbbE6DdXTohepmkjoS1LZKbyfWo6SuJCH0jUYtL2IXDXSzftHh +Joy39yqvqtFfHpfWPWzEelBVIxW1m4ZTFTpd7AaS8u8ZuWC6hwbJ6JZBPfTy +ZWUjAhZY3297s2LqScpKePnRZvQ/X8mZzje4/oSFXdf30tCa/oG7Gi338p6t +lSX2m8dJDJ/XJHWe29IvaoXnJeHOqKjD8/a4eboT/crfhMuH1hPiCCbtw/Mx +Vfy7r5akHJPIJ3b78XyWSdJpNSTlFJC0T+YAxq/b0oGRapJaJ9FL9qMNG5Z3 +bEHPy3r+IsuahkdVsjURrzCenTQCnA/SIP5eI7+FIqkv/Pt0FWxoyL6897YE +ehMpvOA3WsfrVLAzkNTu9e5f822xn/AlHy2uIinuMo/KU4dwfz7Vb+NUkpRA +Ht99jcNYvwL+rdiJrni/5/ofdKe9JvvWf1h/aKWIl3Y0yEv41/dXYL00KgsJ +OUKDmVp5ijJ694WRsO1HaZivRHgGvSSpP/4vrvLY0/AjfufWunKSUrytk/Ya +nT1yh0cEvZBp8+KKAw3fK380HnlBUnncFR93O+L7J26Nyy3D+pN9lUf4GA0l +rFjLiVKS+nExWaMd7XSsX2g7+g3PEa/bx2m447al8epzXF9b5dNDJ7B/xl+N +6CohKcPAxkmpkzRMOX7VlEOXGkWZfEXP2WuMeD8jKRHX36lZTjQML4lOellM +Us3Ff2ednbGe8Hab8KGHbSqOb3Ch4W35WqZVEdbPbNn3o2jLitO37hWSVAdT +3bTIFftvXIXWzwKS2pc6U+vnhv29iujRQOtdcdqp5Y719K2Bf1g+5uP0pa5Z +dLdJqHDzU5Kq/bbfEzxoUHn6PEcM3fqnZ36kJ9aLmB86J/JIakkb39MdXpgP +TqJv859gfbwzaCvoTcOhOi27mcckxVYNXNiCHle1GTJB9w2+ehPvg/ml5O0d +/4ikeKJKYqx9aXAzDBn/lEtS1+VPWoufwv3+E3l2PfpSXN26PjS3PXziTA5J +feruJjNPY70+6u8LD7FeKCd/P3mGhjcSx34KovUJ8bfr/XC/EgwcDmZjPyQO +VP1Ge+0Wa8t8QFITJdvLCs/SMPC232A0C89jZKDMz5+G/nsZ+Vro0mw9SiuA +hsVG+1dcvE9SxWsPtM6hXxn9DX2XifG4UmqYCqQhYW3CNwn0x4ps/qggnEdO +SRs5Z2A+a/1QMT9Hw4a85IyidJIyM/txdFEwDc/sBGbn0kjqln/azffor3xu ++8zQVOCK9lvn8f80yh8m3sP+bG4sfjiEhhNuf/98TsX4dFJ3kQmlYZWywo4N +aKPfA/99QyfPM4s/m0JSOh57JXIu0NAeaN1DJWN/BP8LHmE0TC60klmIzs5w +/a0ajvOHmbajTRLOK5mixybQQYXC6ffvYr8wDO57EUHDx6b2j6N3SGoV5B0L +iaTBcVWk6Fb0S72UUYOLNBAaMuYXb2M8xZmH80XhvBj7IPjdLVzv+zqpJvR0 +wbInEujm3f8g7hLOU/KnupxuktTO8Bn3A9H4vt6lRFEiSfnyV0iLX6ZhcNng +2rkEkpoJN+nuQ0+mzZmbogsak5LvX8HP4+bcEuLx+5WFJ11isH56D1zqu4Hn +l3Rti9JVzE94lrEe3dm1SZiFbhdwLzsTh/XhbhrreSzWoza+pqrrJJX+sOfj +uWv4vmlXegXQvCIfm/SvY3+aYA0fuEZS1c9ya3njcL9t9cfTYzEflurUNaB/ +WZ6aGblKUgPZ995ev0GD0Ilozmb0x9LWvv3xOF8tDeeGxWD/KW2cXJFAQ+bP +o/+arpBUfkL8ss/oe67S08vRO3IVdbMSsd4uB+axyyTFUYvzdL1Jg22g4UBe +NJ6/UnOW8i2cR0VzOv5cIinZ7Lff2OhRz981hmhB2UyFF7cxfwSWFFyLwvl2 +3Cww5A4Nl3zE7nRfJCkTkeoWw7s05K2eC5ZDHyIFlOcn0RCWC0e9I/F8mjck +vkX3Rh3bVh5BUvPLJMnEZBoq9PvFeNFuk93+tik08Nvp0RbhJFWT5z8hnYrP +OxJYlxRGUpF834K+ow83XL8zcIGkyhMU+B/dw/NZE+6sinbo1k/1TqNB/Y+F ++rlQXI+p+laNdBqaX/2ZqQ0hKSVXbt9ftKdgMLUYPW8oOQYysL9Yd0ccPo/z +xHNx/ahMnGfXLzbMDiapNVnuszvvY7zxr+Qwz+HzlqaAcBa+/1n+Mm10ZPq9 +q53ogb9vPKOCSGrRp0iH1Ac0rBNzXNkaiPlWYqRzPJuG7fvetUigG/W/yKx/ +iP1edVmwUwDWs+FDgmPoyE1q8oX+JJXZ9vTfsxwa9nxb3ThzFuP32ffpoFwa +DlI/PU3QGbcnZvUf0VBqFbXwhh/2wz3DfHyPcd6SmMz9eIakFIqeizejU9O1 +DNeglaxcNRKe4Lx8cm+3z2mS8lTiHrTNw/ga1fJ4eYqkRh/4hcs8pcGlamKG +F63wouHZAPqBXUT0Xl/sz+JCY4/zaZg16xdO9sH1yKzZeKqABh9BkTsD3vj5 +Z8VzmoVYb+REJFTRTddEmv+h3cT7k4K8SGrS5/ua2iIaUrzDltd6kpTt6lvR +McVYj3PG4oTQ1UfUWZbPcH43VeQ75IHxHFZ2XKwE58O2zUFZ7iTV1iT1qQ9d +27zo56gbSV0d9jn64DkNpuXF1lro8cN5Q+6lGE+S8hDhivWXbg1QK6NhWeCx +NW9dcJ5P/io8jb5q5X5ZDH02u6+o6gXejxT1ho85Y33/V3c4qhzPJ+aTcZ4T +SV1RTV6w+yXef2jjtKmTOK9etKldUoH50+8/sR09mM692IPe3n/K9OoJ7F+l +9/Zk/If5dnrznY7jJBW/b72MSyUNG8VffV+JVqVSp5Sr8L5su1TZ/Rj25wUL +uybQdsUqZ0ocSeri5xNQAZhvTxaXchxIaqtkfkEEhfPi69JJM3T8laEc81cY +r5fk1BPtScpn4ZJc4WoavL2tPfqOktTv9K2FXegMcnfmOnTcrT1UWg0N76v5 +Ppw6gvPOwP5up1qs55ujeP6zw/oDe6aV6mjQ7X2tyoc2CNuxagJtr9Vka3kY +59U4JcuK1zivvIsPTT6E8VsrcDniDc63qyUyB2xJ6mb0lzfm9TTMe36CUkE/ +a32yWKQB67+A96dAG5I6HhHk0I3uu681WX0Q7ysRmmXpjTRc5qkRXITmf81a +7tKE9Sp/obSNNd5PX6WFqjTT4LtmmVLmAZL6r9RmbBJd86tX89d+rA/X5pwq +3+L7RDpu34yWu/Vg8GILzl8+900u7COpaFljr93vsJ+qZ5o2WJGU89DPOdFW +vM9ZHNkhij559MrNXnSLcbvBUUuMbwVZjaz3NGgkzdPO2Yvz/zT0urfhfPuW +rcKyIKmNvrZX1dtpGDmRvEoH/fXmrOEMOuXzrFDUHpKKykxhVH+g4QMsn2nZ +jfXQT6PxSgfOW1dG+legzVb0Jll1Yr2v8n99fBfOU6/PnRLvwvj78jInbydJ +EVNrrPrRT3xKo6bMcV4P+KD1qBvPm3Z13I7O+x62/lQP5tv395oxZlgfCrRX +bf2I/aGZXvDBFP/PZ3Il2Yv1cEPdJ2k0f8fLdQ3oM+EWj1124P2hLVoz/hPe +D/fF+hWZkFR3gd3eQ304X64M1Zk1xv62YZOP7GesT25yXGP0j58Sd36i/YuD +4boRSRWq8L8p+kLD3fOXzncbYr1R5eUGfcXvmxttWY1O2cajb9iPnycV/fYw +IKksC7FowW9Y35mt6c+3k9Rtic1dbWjv5oy9XH38fc5h1ZTvOB8XrZozQ5/i +vR53YoCG26sssxP0cH7R6/mjOEgDlayy65Mu7kfTOtcJ9O7MitE16GmNK1// +G6Ih8flUrM82PG8BjmPUD7zf2H5ZX65DUvTC6J97hmnYsfDsKwbaUnnFueU/ +8fytyg7u1iap5DBqyRe0dm728K2tOL/uD36WM0KDQKJ+wBct7F87DI/4/qLB +IeEiQwGd0qewaOtvzM91fjGnNUlq2QLx1+Qo1re2RYv/24L5KrAuuhH9Z5nV +jXnoI9Y7LRPHaDh5Sldo72ac7xTOyx5h0iDs3Hb5rgae/7LGGXka5wG/xcS3 +TTivFCl9GkU7yUycUUQLxeTWlbIwP75fGPBTx/3nNy67wMb527jYqkqNpMYO +sQvNxvH9amIq+NFrbF4Wi0zgvP1l/mqrjZjPzJT/PqKFxJWiklUxnrlJLVmT +eD9njQ98V8H9MCgf9pyiwf2ng4Eyeuo6W3DLH6yvYT7J/sokdSHJfDMXvUZr +NQ1KOM8OVbrUT+O8GxdgKIDec2XP/fi/OH/N94nfp4j70zo3cHgG53PZ+X0p +G/5/P2tSlZ+lof6I4ZpBBawn3lURo+hlW6XdVdBWwe/7SudoWKl590nAeoxP +twUGYf+wHnUV/6TWkRSMOeSZc7D/3vWUF0RPNX9YKcrFejZXa7d/LUnZmwWl +fEJfiqiIS12D9/dInZUPCRZYP95LDcpj/TZd/cSHZMHSibBRFbSOqoL+VgYL +nnyxEAuUw/4ja9fL4GHB/NEXuq9Wk9QvjdILzeielCpHQfSjr5pKt3lZMOvh +ELZfFu+7PANfHeaxQLMvOTV1FcaPT8E9BT4WyPv4Ph9cifPSpYLj42jvzC+N +Kui+DR9UK/lZ8HH8x6cAGZIKHJKbFz2fBQ2Dl39R0pi/JenfLAVYMDD1akoA +HdavWy8hyILUhwmcfVLok8tKB9AX/GYYqZLYHwTF8/IXsODbl2meQQmS6nUy +eBy4kAWrXK+RKmg++axCw0UsyIstm/UXJ6k5F2VYKMSCwmZ/NqzAePkz3NGJ +Ds1pHJyP1lnZPpGxmAU7Uos7rMRwPrFgSnoIs+DABpXq5OUkZW5uumuzCAuy +Wrc9+b4M55O51xFctJXQ5xtK6K1Z56oblrAg7rjImbNLMV6l7QVvirJAdXen +VZUoSR1khBy2X4rP36mkzI/+cL+xeP0yFtT3LplnuYSkPHoPio6jQy5c6bkr +gvPfC+HzlctZYFES97hfmKTE3HlHo8VYsOivfOAGdGD/Rud9K1iQ2GxmeGYx +3u+3Jf6QEmfBiacz8/8Twniq2HjqB/qghHYzL9rpPwGeYgkWiCXwxe5ZRFLL +QfzeeUkWyCY6mN1eiO/DOalvKsUCwVRj8ssCnBdO//opIo3rUXxeug5t55KT ++gldB4WuvoLYzzJzbXJkWGDftUWsXADv3woDEqdXsuA5vaOaRH98bz+0bRUL +9GK+uu2cj/PC4eUv+WVZILGaRyiRn6SEry+83YbO2pKf38tHUvdyTM/dW80C +hR39u+TR61ZXObvKsaC8JWXQcx72o/7zdpvkWRBj0Rf8nBfvQ6+DbDnoQqNs +IQ4PzmueZUcb1rDgqNL4vR1oVryax821LJwHXivEMXD/ymbCHNax4Ps7meIu +Eu8fFty0DetZ0HZpdssqtFyGZd0kemz9kReuBN5/5r6PUwos2KSxfUsRl6Ce +bazaELsB93dtTuFfDkHlvf/iZqPIgiMhN9YZooeFdhetVmJBWelscsw/giK/ +McgxtJblsGD7HH5++o9tuTIL4t9YB0iiJRN1yy+qsMAg2ejriVmC0vFqkbVU +ZcEPkyKTvBmCyjqenSC5Ec/LLC1n4i9Bnb7fvOAHWllGkE8XvWy93rViNdw/ +kwnHqGmC+jnKWR6qzoJfOkdevP1DUDfY8x+Zb2LB8VCDhcvR00pORss0WGAa +k3XEfoqgBtVEh76iv3wKf/RwkqAyMubH521mwfnxXvbYBEElahwwDtyC8bur +SEsTXbN2lGukyQK1Y2TwhXGC+sbTW7NYiwUZxU3lb9gExae9/EYv2ve/xZOL +0ffDHp/M2Yr5N9usZMsiqBcLbxqc0WaBwyjjWAZNUEf/q1+rr8OCMKGi+GEm +Qa3bemjpgm0seN/bWbURHdu+RbALrdZ2ZjhwjKDoujPzs3RZkOAdLfRqlKCW +r5u32EcPf68soiaAXnDsp7SOPgtarwpbWv0mKPHfipv5t7NgM1+UR9IvgloU +Un2gHW0l7h3ZP0JQGxKfn083YMEDg6Y7Cuj96/meehiy4PVsSu6pnwRlW1gw +qGmE+Vf75Xn5MEGd83m6lteYBVfFbgOJdiUX+baiOaeq6sx/ENTBrsZXqSYs +WGZpWx8/hPtXNyDptgPrpfKJNz2DBJX9zDF0sykLJC9/rpZFU09Vf5JmLMj+ +2PDSbYCg7mR7HmlB/86ULyj6TlBzu2a7ks1ZMHJoLP3vN4I6wR23c9nJgvbQ +tdcM0Dt3Wwxv2oWObfa/0k9Qo5oCIcRuFlRzvxx5/5WgIpXlJd6in+131BdH +H61Lh6Q9LMjl3SNz7AtBXWZHezlbsMD9evbf3M8EFbzuvdymvSz46un2nu4j +KO6di9+46D7Ju9la6BUnbj5qtmSBipiaf9gnguJIiQYlWWG8fNxkVN9LUI9X +si2d97HAvz99oTB6paKx2qb9WJ9z/NpsPhIUMTkhThzAevOo6GZ6D0EJ/hNe +8Bb92/Hg/h/dBOXlf5c32Rr70c7jQqpo1eVxfC4HWcDq/1Dn30VQaQt/CGvY +YH26/zSoqhPPaypfjrRlgQvfbwU+tIPkL70WtEdMXOeeDoKq1Ys7nnKIBYaP +7ly49YGgklY/uO56mAXan3nW9LUTFIStrNlsx4LoB+2v5dFvdogQPEdYcDiA +z8mzjaDG806btKLhfQr32XvMr9YdifeOYr1WSbw920pQI+sv/XS3x/4k8FvB +CM1cqG+m5cCCeX3Z5THvCMooybVgniPGgzxl0taC+9PIs7IdXXhIu0Uczacg +eifjGAvuTIvuP/YW4+vgbTHv43g+wbs/5DZjfv1IzNA5wYKHR79b0U0ElSxK +qgucZIGNeHeTJtquaaSpE22usMHwQiNBWYrv8n7gxALF+T0lrxsI6szgSvHT +zixI2TggJ4RWT/Zu1ndhgaj0rjjreoyflZsvL3JlgbDZoj+pbwhqR3vQ7l70 +OqUNdgOvMf5CdcUfuWE/M8qsUETzDQWM+buzoGb+6RVn6gjq4hPlZmMPFvBP +pZx6WUtQbn9PFi/xZEFJlMwbEg23l2V+RQ+p/V1hXkNQHzmGd/O9WNDrp+hy +o5qguv+w75z3xv5fX1LU9YqgtnDlMnb6YD3LuTktg/7wsKVwhS8LLl9t1HGm +COq/vH8NQ2j/Mevgp4D5tb/wV8kprO87t5RNVBHU0pDBZZGnWWAs7sHUQV+f +uGdmdQbnlw/jcpGV+H8LPkWu9MP4+/PuQON/BLW6/9abUXTRX064CPqCa7/o +f2dZYHcw7IltBUFVQZ5rjD/m36X979NfEtTh5X/rbANY8I43cHyoHPNJpE1x +XSALKsxHRVTQi/6qJE+i9d4VK519QVDKZjIitUEsGBaqN/qvjKDmaV27kXAO ++3eEkg0PmlK8vOJYMAtW3v/ivLMU+8sF4Ueq51mQOfz1dPxzgio/KWfIOf// +/qca3F1CULwEfG8OYcGLt00XVqKLLH9dSwllwZx9SZjzM4IK+5m93f0CC8Jn +h0OeFhPUP/vfs1phLLgo5RYwUYT52lkD/OEsWK+j4aWD/r1ZNrYTHdBq7hBR +iM9fKX4sOwL7p/WjPQ0FmG+FqXp+kZj/hvu0hNHcH6XyRhdZMC5ivNImn6Dm +LzwsuiSKBYd0QhlpTwlK1CRFsB89pkl8G8gjqF9OLoKFl1hwKayhUhF94HzL +kgvRLBi81nPr9BPczzs1chaXWXCjW9W9/DHGj8wBXekrLNjV06RNoOfKghx+ +owvmP+U3fURQobJbYipiWLDlS1vrtVyCauW7VBlzFeePjm23P+QQVJ+/z99D +sZgvJ0ZsJNETn2Z1Fa5hfjN6lx1/iP3j+Yqr0+itG4Rac7MJ6vuXlq9vruP+ +74+8xHzw//1ZpX8njgXXJ7du3YJuqVn20PkGC9KuqA2fzyKoszGZy7bEY/2P +dkusuY/5yXh7bV4CzqMu/dqC6MPHbwh1/N+Zdz9bZmI9cZu+8yAR68PT66F3 +MnA/k8gNfjdZ0MhTI/E5Hc9r/sNao1uYj1Kbn8mjzzWMuojeZoGJ94CpRxp+ +zm0W/Y7WPt3aXXQP5wM+2/riOyzoTJ92mk4lqDWHL0VF3MX48D7C1EPzVtvt +2peE9fPgrF9UCkF1KjWKr07G+vjuw1RTMvbTOz9oFtrZcthvCZr/ZnbrqxTc +b6vNTNskgtrlIlQen8qCW+YVTul3Ccr5j/jjY/fw/AuDugfvEFTC6YYstTQW +uHJ8TJXQ1XzrH5LpLLj36F7x6dsE5eGvWvQePaXAkCi/RVCzfh9rMzMwf6dS +Q7g38fPAzf2nMnEeuOTVZ4JenaDDZ3gf5yGrM1tjEwlqW8HPTUuysH63PI1v +SyCouG0m7t/Qm/ykhlagRWWsHxU/wPvJy6otDvEENdm9kBWRzYLp5Tcjs29g +f5n1M9j/EPOdTG3+FYfz0qPYZLkc7K+sDhF1tHzvvrlxtMlRg/2B13H9lk3O +tbksOFbRd6PqGs4rh8Z7bj7CeSjicSMvekVFq7XTY9y/DTnErliC0nOx+bj5 +Ce73+nb1+KvYn3bfc+HLY4HjhPKxrhist703/nWiR3nKrkqjVSiD1JynLCBa +vIpPXCEoJ55Mo8B8FrDrrToeXSaooPcvx80KcD0exyeY0TgfxF3JEy/E+4Zi ++uIt6LWrFniPoK9d4F93/hJBRUnv0qoowvvb52Tt6iisH93GC2KLWbCx0nbn +fPT3LdNDR56xQCNx+0GLiwTVACeblEtYINJpZX8zkqAqdsS94KDJuavHP0Zg +PU70zX/3HOMveOz4KvS27kVPM0px3moIdHAOJ6i6Oc+SU2U4Lx3ZYJsXhv16 +6Fqt4QsWnHzM2MO+QFCpai59ouUs2KdA6mmhQw/wcwfQjRZrFENDCapdw16h +9CXGxw3vpbUhWC+OBB+JrmDBzZOf/uKkQt3vs79r+x/m83bv3r3nCWqvxNwn +hUqcb5Pkym8FE1TjQvsNs2jewdmE3nMExZC/EtZchfNj0pSrLDoz+OyXe8CC +SEVRHZcgrJcWyqY+FM5jwlYCTwOxf1TfL9v+Cp8HBe3sAMyvls8bl1SzYOcT +lWQttH7DQPF39LOdb4+E+hOU6eoy3ec1WH+XXJWsPUtQb6/ufn+pFvthoEun +ALo9q8TLtg77D33s2l4/gpL+9WnJhtf4fTpo+60zON8e6qBm0S9G85kfTxOU +zPqkgLdvcL48QqSsQpv8XKOZXo/1tdjL0PkUxvPPCK5vA94/TkwNPvHF/Xn5 +tNWwEeeDwaQolg/Oe5/uP17axIKuPBtZTXSZk8e1IbS0imr5eW+CqpefH/Si +mQX/+lbuqfYiKAFFL6+Yt3j+agp9/Ojjix+6H2nB+Ezd6bbHE/2j3FflHebP +zUhWggfOI6w7F4hW7O+x7We73bH+PTe704YOmtk6JY0eGPhQ9uA9ns++0tMn +3AhqyGNjv38b5je/2a9cV4LSrnUUNW/H+/aNMYcxF4y/eA8LyQ84z9k/at2E +Dty3M2EUHT8coBvkjP3y2vwv0MECucxDD6ucCGrxrhSNhE4WlM7tWcCLnpXi +TzzZxYJTPgc8zU8S1O7FO2a2dOP87uXZcP0E1otOD3eBHhZMuN1a/eE4fn7d ++XsvOq+nJUAczVu5zSn/I84zG1c02B8jKFm5MWZYL/bHr77LHzji/u+PiNz/ +CedXx26Hnw4EVfl5euXaPsxvWYtsFTQnz6huGi179/3QGXuCct92/kzTZ8wP +rePy5UcJKnfs8oa0L3heftyjnCPoj+dHfL9if3qVm2iENvDa+8yonwW6CUfr +Ltvheg34opZ/w/vIIenxt4dxHj2Z5fAT3XH1h5Qo2u/FeqP/vmO/SKkwtD2E +8SNwXTVuAOepubsn79kS1JjyR/njgzhfrLoQ8c2GoN5PCcptHmJB0nmv1HXo +wYyVG+b/wPkp4kSx50GCOiQpr92Ldn7oWFtkjfNO1oL9+cMs0D98sm3qANYz +816/8J9Yv0W8P+mgtaxS0w+MYLzqhXwL24/9q1S/fd0v3D/r+IG6fQRVcqRr +8Sxa7s2jb4Lo7edsrVt+Y3zyv/601wr3S6UmK3OUBcFXBttuWmK8bpWe9RvD +3wN/Xc9ezM8WDzszJgu4EkrPZND3A7NqJWmc/xbvu3fCgqAsrtdvYaIVhYMi +c/fg/W3et6JqFu7f9Qyn0d14H835vfk2G+93c2+M1NGu5j+r3cZxPn87Jh2w +i6A2KXy21Z3A+8XppRMVOwnKKrj6j/AkzjMOWq8JdNabO+kD6F3zDt80MSeo +EFd3yxdTLLDsDLSPMcPzb1QRjP3Dgkrjm/LvTHE/9n1vdpjG86h+MiSKflF0 +9+6mvxhfr6oe2O4gKLk9el78M3j/KGm2v2dCUMcMv+/sRccu6Fj6zRjnPdFw +tYJZnP+1u16vRXebiMtGzuF9r6jNz8OIoJ44PhK3+Yff//ZaptAQ92OLtqQi +B/d3+7PaCQPsLxSs4aJ36dxx3oqe0jHf2s7F+4DJad7Q7QQlLPrWOodgw9NW +o7RqfYJ6J2MdHEyygblngQY/+lnlx0d7GWx4oFJft0uPoHzgUL8cDxsMBoL2 +39DFfrl2UHYaLfp1Zd+HbQTlYuri0czLBt3E8uPi6Ks+7MqMeWwQ8NkxcFQH +818rXPwsHxuiB+qO3dfGeN4uFGrOz4bhk5q9Q1sJSio/65f0fDYIH0u2VEQb +lRkdZ6N5do698tHC/K8Y6n8twIZ3N9RVSzQJqmvZFfcUQTYoPXS+O70Fz9Nf +Z85nARtmZ67824ZukGbfNl6I/0+k2odvxnyZfKktvogNnDWpFXUaBEVaXPox +io7ou7JUEB00c+hetRAbtt056WaxCfuXlM6RO4vZ0FGj+DJBHeeViXXynsJs +SGr/zNelRlDRYvKT20XYIKEZslcSLXNT/d2yJWxotOe76bCRoBwljIpH0IMv +gz5kqeL7VXukgSgbais6hYdVsF4yMhJvLmVD7nspcyX0zas/4t2WsaHdc1eI +rzLG6yuTJL3lbND+d+xpiRLer4LzH4mKsUFs3KFnWhHnsT6VmmH0qSpjUhcd +5QCDlSvYoPFu8ZrwDTjvvHcQSRRng/ktyrhOAU3K7HCVYMPzsIOOAuiKjXSk +riSeH/k+YM96jN8dHxuXSLHB8JLq1fh1mD9vOiSG0dMXTiV3rCWoXln6TKU0 +G+ijt7PF0SXX5DsTZNiQEXcv7+gaPA93LwPXlWx4dPFSQaY8QZ082vZcdxUb +UvMs8wflMB4s9m4SlWUD+M/mKqCrjJnlw+ikfZfSvVZj/ZHNMq9azQavAjq+ +SBbnXcGQb4ly+Ly5rWGTq3C/OGcuusmz4eCjY+5b0WepSFX9NWx4Je9iGbIS ++8Gzl9+XrmWD4Gdz9VcyGO+rF2aOoBWMBYTnoX9Eh7tQ63B/Xj/4aSaN/TFi +hebt9WxQb5eEWCm83/3tXOypwIaRHq8brZIE9epNEctgAxt2mCcfXYpuSCn7 +JKbIhqU3MtbaShBUDLundRS9VjrsV4o4QW2eW99So8QGwkEr78sKrMdNqR+S +lNngWlvvKod+WqM94KPChvGKjbIuYrhfXf/mTFTZIF7i0/F4Ofafy4MyUhvZ +sF8yKmpsGd5HxP+Zs9Gqjr5q6uiALJ3QejU2dNMbe84uxfookFuRps6GEp3X +58tFsV5Ib2ec3cSGBQWqUv+WEFTHVd59uzTYIFvuWbYdHdA1+Vh2Mxum3py3 +uChCUHc3ii2aRpeaO/S/EcZ+4HoysGULG87nifouQGep9f9+oInxbZ80Y7EY ++5NLonuwFhsym5lhCUIENaIewLLayobPTst5Ohfh+4leCV+vzYY3dxaGi6Ov +Lm6W4KJ/v3s/c2QhQdWEm1Z26LBB5ryTb8YCzJelLNe8bWjBN/3fBQlqyeqP +0pG6+P4/Ji3WoQllZu8hPTYcC2eVuQvgfeO6btZGfTb0mJRL5c/H+Ex7fYZ/ +Oxvm398dwuLH+Hwetecz+hjPkx4N9AWe0I3PDdiwuatdLZCPoCw3F0rFGrKh +K+Z1VMU8gtqxeuWSE0ZscLsa0cHhJajX4dXC2sZskN7BL2uITqp/tELEhA0r +1h9wjeIhKFBrVBhGH0hzfVLPIKhHLuuNYQcb3i8zHlmALggAl9umbLgyOyi/ +lySoVSGpN73MMJ7/22OXQOD+b3rRaGzOBs+YSYknXC4IbZMQlNrJhsPzevzV +OFyYXFyybxxtVGPcWDbHhfH42w8ad7Fhyz3NZXqzXHisWMHN3M2GQM9Cm9q/ +XFDwkjkZtAfXL5gfv3OaCz+c3r63tGBDwV7VmtYpLhz+UmW2fi/Wj2Wbfh+c +5IIS8aeei2ZverGwb5wLo5Zn93VZsuHcxUr5E2wu2CzSHMy3wvz/YqDxk+bC +kpJd4Zf24fOkjHV8mFwI0shca78f82FZzdbJUS44OZt0bD7AhpmMStXg31w4 +2aJ8bZE11pO76tLkLy58mj1hMYj2blvFiP7JBXnt3ysqD2L+rI/+vHCYCxpP +4fdNGzac9T1ZnDDEhR0HvzZ42uL7RZaFrBjkQqirRaHxIaxXWhe2p33ngknR +ogypw7j/Li9n5L7h+qUlkybQBUMueY++coHNH5jSbMcGveuXrFW/cMGuZm3O +gyNsKNRYNlXSxwWdw6r/nT/KhnVFS65rf+JCkczFjwfs2ZD4MUSa+siFE9dV +GcoO+Lxo6wcmPVz4flZ50zxHNgxcv7u6qYsLlgujvPrQn16b3LXs5MJyuy1F +z49hPeY7Mq/zAxcWT2pxrh1nQ/rqj2527Vy4VZNwwPkEG6rYVXVf33PBanR3 +id5JNsTtFhB3buVC3Bs7aTEnNgzNe3HiVwsXNiyCOCY6a6Ih2/ctFw69v7yg +3hnjZUz3y2QTnueZhzcyXDBfGpYIBzdy4bqY7MogVzY0HzLVIhq4kOZKlFm5 +Yf77f7SJeoPnsUTbdoM7G/aMN3oLvuaCil4rg8eDDWYPxULiarmgK/2utBet +fxIiltZwQdhKzq/Ekw1LGK8uJL3iAs9Er/Y1LzaUHZD0k6G4ENXLFXT2xvVv +fOuQVcWFmOaIAT0f7PfuHYbrK7lwPvbEGzFfjKdOdemnFVyQ2vb4GY02MB8Y +U3uJ8Zl2+FHDKTZ8vT1cVvoC13v5VO7903g+iXqBOmVcaLSiC4PPsGGX6KAq +9ZwLnLQP1Qf8sF/8/PjZuIQLzDaZz8pn8fcjMlENxVyYO97J4Pdng8VIwWqL +IowHramNX9GOFbFlbQVcKK0Ndy0PwP6jVmJkk88FN7PARwmB2C9XrXnTm8eF +6p7+cY8grFeHPxs4PuFCuHuhqck5NtQ/+/xs4BEXmnQnHsgEY35y5KXdcrkQ +fyZrwTQ6cVFhyOhDLpz5CsHvz2O/fhbacSqbCws/7J98HILnXRMnP5XFhZBR +68CLoWxYLvzN/dx9Lrwwa+C1v8CGFne/XE4GF14TRcmaYRjPD036ItK50LNp +vrZIOPafmwcE+NO4sOJdz7cR9Mn5GUpXU7kQ7C19qzaCDffa1pouTuGCO/HR +Mi0S86vuh21iEhfsaxYsD7zIhvvF/cfE7nKhIrV0wCqKDe4eosdTbmM8/Nf7 +n+IlzK9XwYdW3uLCprDAtHnRbJC/JG6WlcgFibnYK1/Qu2J+Ka9L4MLH69Kh +5ZexHqXTgk9ucMG6SPV84hXsP7fWfVGJ48K/3eWRXjHY//TjHhdf40JtKHXT +9Cobgj3Wem2J5cKaAdMC2Vjc/1+/1r6M4UL0pGn7LHrbjc9dulewPlS8Jzqv +sWGnwr8Lr6K5IOnSqVl4HetV9I6VJpdw/fMcA2Pi2GB6rvx5/UUu7FvqUn3y +BvajtgNGuyNxv19OLdOPZ8N3e7H6d+FcWDlGnhFPwPXSXKP9YVx4Tif3jKNF +Di4q6wzlQlLHC/OWRDb4OOjJHg7hQjvvoZrcmzhvfoqP6AvmQkd65I7IW2zQ +SuHrdTzHhaO+qu1Hb7Phi0fKhoFArE9drm5ad9hgLL33lEsA5vdqJQHRu9iv +QlcVjJzF+jQZVjyKzj0qNODlh/WhwdqpPgmfHyMmzDrNhTtT5bJZydiP27Q3 ++Z3C+FtT8CMkhQ0uvAF7/vhwIfWKYpltKtbTsUb7c974Pgbbbmy6h/XKcbPL +P08ubO7vPC2Uxgaptc+dwzy4kBDO4/ATnSNkfpTHnQvPRKoP1KZj/fjB3HnJ +FePt49ID6RnYf0NzVQVcMH9FZ46cy8R4vH9qQawTF0QXnfKxvs8GX5mdn4VO +Yv60nr26MYsNka825sYfx/OZFi9a8IANN23l3ZYe44LDjt1fh9ARhXKydxww +n9qWi1dns8HvtnKruD0XGs5dsLv3EPOxa7t/6hEu+L7yzwnMYcMv/SOiK+0w +X48K/dufy4b81NCczEO4n6X6R1QfsWH9y4fq8rZc0O/hqxN8zAbSqb3k4UHM +dwcvzSG0qBuPioI1rl/X89mrJzj/J2xOe7KfC62VQlvv5WF/zHedp7IP+1G6 +aX3gU6x/0SknCi25MGMod+xAPu7Xz+YX6nuxfr+8x7OxAOetjFne53u48F/f +fwULCrH+BKw109zNhTylAKcfaEGd3RHlO7lwNb9TvqaIDbHPPZ7pmHPht2XX +aFoxG6KKI3srTblQsiuUOvcM58+5hBn9HVy4+6459WAJ9keHu8LVxlyI8H8R +of6cDRMPEqSNjfD9bu89LVTKBpu7YbKvDTDe1K55jKBneI5JmW3nwiqXU96v +yzA+i9WFGvW4MBzKCL7/gg1cr4mpXbqYfzZb40PL2fAfkd35VocLrmfEiw6/ +/H9/M3q6V5sLFtaPP26pwPtN+9tz77W4YDvv+yLR/9iwKddIf78mFxa41u9k +olcHZ8182MwFZ+1D8U2VWH+W/847qMGF/KH0/pwqrDdGUge71blw6nyczkVg +g22T+tQhNawvgZvSHSmsnwEq13pVudCdcnGh7iucv0SEJI+qcGEsKDpSvBrj +37E1/bMSFyacjHin0I6qfpKOilxQX1twva2GDT9Mpq/1K+B57H27uqCWDY89 +7f4cX8+FXKEs6modzlueqTYDa7mQ4bbe1fU1G24vfJnvtIYLi3i9xU3esCFo ++bO5ITmM95xjH2Tr2XDZ6pKB62rMFx6xJA66J0o95OcqLrzcfsGltwH/P7i0 +wH0lxvvDbP0XjWy4+le455c0xs+xi7K3mtjw9832v55SOB80rVl0upkN9vnG +wmMSuN/Eecbet2x4eUZSxkcc+4NgPKnUgv3zS81qWowLN/a4CQq8w3r2YpvM +qeVYb5pmpYbQsXUXhdlLufCwz3JrTSveB98m/z0tivFLOTpkvGdD052QnnER +Lty7oBUX0ob1Y0Sx0E+YCwYTrfWH29ngcfVByKQQvo/dpoVaH9hww2DIwH8R +F5a9PnBoWQfOb23MuakF+P4t2oVs9JN5VH6AIPaH3CHh1k42XEu3tpmez4XO +X7bBT7uwPzgXTAXyc+EXbxwzppsNcquaY//O48IH75terj04D8c/Fj/Hi+db +7zBp8hHvR+Hm92YY2P8eTl2S68X3eZYjFkxyYa/GgdXkJ8yPsZrLs1wOGBdH +vPmMjp5MpYM5HFA/G+b/Xx8bJOPU9s7NceA8aaqa/BnnhQthD87PcsBLpo8V +8IUN1lcv03N/ObBx+fYq6684DwaYbQqZ5kBXwOmbm/pxP/jB898UB0ZGg/1E +vrGBl/iVGjLJgXvjB+yZ6Ctrmmr+jXPA5A7H6u13NvTq2PeHsDlwVCNk75MB +jC++rMl/NAfq5N8dvDKI/WXnXSKUyYEYhWkXlyGMz4ZtDM4oByqkJyNMfrDh +mVncTMhvDrBaa3PkhrHexVz/+W+EA4rrTnWSP9lwad/WdyE/OTCvakLoK7r7 +xPUn/35wYNBsn1XVCOZ7eGxoyBAH8jti7qX+YkOdl7rZvwEOXMu5N37uN85T +v0Pnh3znwBen2P2HRtnQX+ULc/34/i52lZpjOL/n8nmd/8qBtD88asuZWL88 +9EXmPnMg0+96/gTapEE8L7iPA6NqrM3tNBuqL97Une3lQHOXDt5Q2VDkkF93 +7iMHCgpPHL/Bxv+XdDae6eYAEerL7zOO/evcy/KgLtyft0dL90zgPKP3eM3f +Dg5UJSj7KE1if16ncTnwAwdKefrVFkyxYcP0wf4/bWgqjPMTPegrohbwngOn +n3M+1P/B++u+4wFT7ziw7rvb85xpNpxwMCs524Lru1uafukvGzIOVv+YaObA +muyxRKcZNiT8bRHxa+LAk9KlCcazGK/zvdTHGzgwtkM2WW6ODYeMU8xP13Pg +RL50HuMfG1542tqwXuP3TThv+tGDBll2vnUc2BvdOkpxsH5dPHeQWcMB79Z4 +6Qwungf7k6l3NQd0u01sLhDjwNnToIpfBBuxgWR7chyMrfWEPIED9jynhnUZ +4/Dxjfb3kUoOlH9j6kvzjMMWp8p8t/848HnkWOYcOvp3re/wSw4o+7xZ+Il3 +HLhSlgou5Rz4dWldRMW8cTB9frR7sIwDp6T8yBS+cdjk9zvkZCkHnF+Ux5zj +H4cXK2bFv5dwIGrPpPTh+eMw4Xg579gzDrR8UKjYKjAOVxckbv5axAEpeevj +4oLjkNUp/ty+kAMQGCT6F30tTFKxL58DwxpJLd0LxmHpm9t37J7i/+vkJ75Y +OA4rXGNmep7g84Lrjt9dNA5hspP7bR9j/Jr26AQKjcP9wo6szlwOaBqMyNgu +xu+3bxg5kMOBOdk/C7SEx0Fux/ja9mwOdHwieVaIjIP2G+XDVg84kOotxDuN +FhbtiXx3nwO/DWUXdy8Zh8qh8aw9mRy4Y6Eq/0IUn8c9/7IpnQPa5sZGd5eO +w8MVZ96Yp3FAQeKQZ+CycWAyPzS+SeWAQ6d/uu3ycYgyyKw1SeHA9XPJn7TE +xiG4obOkJokDlX8q5cRXjMOokV+KwV0O3iNpv7/oQc/AQLiN+am6vrVHfBxO +EN926d7iwIao45tfSoxDV3nBsopEzP/D+Q+SJcfhz4GvHVoJmO/zeGSCpcbB +7Nrp2NIbmH+LTmTaSY/DpLTTVo04Dvicf6uyTWYctKpLPxVdw/gYMnsttXIc +NDY7+6vGYrxbtbv8Q2erneZ7GsOBIE8n0c+rxuHg6Z7YDVc4/6O4uuNq+t94 +oikjiVKoqESDhtmkgUIaSmgo0qK+oZSotFBUopRVSCINNOVdiiKpJEQkVFQq +3XvO3dfv8/ur1/O6p3Oez/O81wdHQmRePlVlQKIsW6ogUYhZnOdJ19UYMLr3 +6Lh6ghDTtqY4RC9iYJqCxkBenBC77AM0vBYz8LPsj5XKKaI/Za5T1qszwDOS +vnI1RgizXM8RNQ3Sn1vEr3nRhA/PjnydrMnA28/Gy7JOED0U3Pr0k9SG/9n7 +yEcJkSX/59vzJQy0fHh4IT1SiOC8jX/ztRgoeL6vakaEEObkApC0lAE3yqcr +OVwIvzTH5X7LGJiqUjIoFUb0WIfnvlmbAV+h1XjCESG+PH2WuUyHgWOb1Mcm +HxZC+untTzK6DOhX2/2M/o+ct+2m5iipayVr2gTBQlyIaDjRpsdAzZ+DpRGH +CD7u/OstWf5//PmeZgUJYVi5xzZ9BQNOu/NcDgcKcUvrU12oPuGP80Llv/5C +nN91zNzZgIFTL3reB/kJMfhm3auVhgy82NedOOQrhOKTRe4KRgyoDMvp+e4X +Yu6uJXwOqedPP/v6h48QY7outz6vJO9PMPH09BZC3LZoR+0qBjKllw71eAnx +7Jm23PXVDKxy2Oa/05PoQ3FLd/Qaogdy9791uRN94V8q3LuWgSFxsy0Oewge +tqbGW65jwLVPvOTNLvL9sBJ/DWMG/u4UlbJ1I3q/n7tT0oQBC83lrk2uQtzM +POw4ROoF/85d3eAixJzJ81xemzLwJHN+N5yFkK0c83lgRvh055O0sZMQGtaj +x1PNGTj4o1G/0oG8n1p8/T8LBpomfbY33E76Gz7d4rSegc4KpX0l24RIt1IS +XbWB4Lcm/pD2ViEWi/1cr2hJ+qmbG1xgR/5/cm8Kj9SrT7TvX2xL/LZS9scX +KwaG7zxwvLFJiNWiR9fXWTOgyChZqbxRSOYsez/PhoGls9/PyLIWYt28gYXx +Gxl4BeVeOSvyvY2jV303MZBUeOrW+Q1CJPJWamzezIB7kpTn1PVCbBkprtS2 +ZZD7bpFsorkQvgH+zjPsyDxGA6tEzYTIWLCH/5fUgi82LidMCF9XJhe928JA +cqrxMGedEB3feQcqtjJwrWrTkSNryfcPFehmb2PgusxBany1EBy3DOFxewZK +jQsCAlcRvbWo+eixnQEOn/4waCTEK+Gy2vUOhI8iO9d6Gwqxpq77nrojA1u5 +r9O/6guRtq7llqQTA61XtvftXCFE3XbBnWFSt2f3q3fpCbHpWeTjN84MxOUn +etrrCnG4cl1r6Q4Gtvy3Mq1FW4jw/eZjGS4ETyXjFdbLhNBlnFMKd2WgYtbj +d/VaJG8ELHLYtZMB/ubYQeMlQkxNnXTB1I3gc6rLeIUG6eetzlfVXQzUTdEf +01cXwtE+x0BsNwP0L9mfRYuEMDX0uvCL1GZ+1JslakIwJYIELXvI/Fd+Lr6p +IoRSzYuQYncyH9FnCQsWCqH38OB4ugcDO6MKHC/PFyKm0f/YUU8GulxS5sxW +FsItuFTGzYuBl+sPtZ2bJ8TnSrtCk70MOIzanZBSFKIpyMRB1ZuBPmn1RXFz +CT67wqeI+TBQtZGuFcoLkUfL1v8i9QkXbD02m+j3VF7i630MbBs80cWYJYSc +y5qdJfuJf90xcDgoS+ZX1W6Y4Uv2ubGn8dcMkkdUns4LP8BAR3iYjvd04i/R +ElN3+5H9D05O/iJD9t90V8zcnwEvq+hvLlOJH929Ib04gIFzZsNL30oR/SG+ +KBlI/C9+Q4CdJMknqg8MRki97EVi7gtxom9Oz1zagxgoKy5vNRcjfF+xIuHR +QQbujb8Zq54sRHK8CLIOkf2vapMwEiX+Va4tGhVM9r+iXL5YhOSryTXbvEKI +36bEKmr9E2BXQckdq/8Ifjn6cjcFAjTkiEovDWUgR+2F6Hy+AF9Va49OP0y+ +X7721yWuALnBn/5MkPqH1/mGmRwBys/vOfThCAOf3z7LOMMSgPfRkldzlOhr +eeeuKbQAmvMvpt0IY0Cyqk7hBFMA5y57/fhwot+JSS2sCQGMbEK++B1jIKZN +63DIXwHk4v6lb41gwMr45qzhMQGyX1IOBpEMXI1g5PuMClA7bfd8heMETysV +V3wdEcDDTGeCT+q3ynKlLsMCTNU+2NEXxUDAx16Njt8CHP42v+bFCQZS5U+k +b/4lQFvemuJ7JxnoPjnCaBgg/cxqKkqNJnnmmZatSb8A3n+ay4/EMKB62jCr +/IcAC+TMXrnFMtB2Yupnve8CFD9V/WV2igGPrUVyd78JMHI+dqZ6HPk9T2G9 +Wq8ApoXbNkjHk/ykYbc/54sAK+WyosdIvTLeOnp2jwD7Njg3v0tgQPSAeGrK +JwGOsZPnVScycPfYmYvi3QKILbAIu57EwH8+HaknPwhQrX/ga9xp4n8d3THs +LgH6Xabb+59hYHtg3oGQdwIMLlv+ettZBlZ80bIaeitA360OB6Nk4p+tB+d6 +d5D39f/5MS+FzP/Xod7PbQIUJiaeFDnHQOG7ZVed3ghw1eGm+gCpZ5nk2re+ +JvtQMHnfcp6BkZdvOFYt5HtZu9NKUwmfFz/MevpSAM4M4Y7MNAZOMu10VjUL +YNe+QDMqnQGZH9kVxS8E4Ks1TfK+QPQ8K2fVkucC3KhhDWzMIHr+ZEvRjQYB +0mvvvte9SPSZXayg+IzM50N/++xLDNhN1B1LqxOg5uTdLi6pxRxPtkuB9CNG +/fyWSfBa/1s5tlaAV/NfCl9kMbB5QOjOrRGgboXWoqLLRJ99ay/9V032vVPJ +4UI24f/IosahSgH2R6SdPZZD9qO8YnBvBcHvz8ttHlcYOH/tx79PjwXYVLlq +gfVVBh4prJ3u+EgAS5fdYdrXGPi+wmBWSxmZT9vMz7OuM6Cd2jp1Q6kAZybc +NnFIPdotwasuFmDpi9XPem8QP3r8rVf/gQCblxdYvcglft60o7rwvgCuKkWd +9/MY+Fpx4IzaPQFMXDcEXrhJ/HipvH32XQHMJCJmRNxiwPO529RZBQJIBVjU +et5moF5n9ZPT+QI8/ZJ7xCaf6K3k/b2TbgtAR2St1r1D8MF7JAy/KcDfnmXi +8gVkH4XbU8dzBXCpdvvKI/XD6ui5B24QPM/QqP9+l4HydvOM3msCjHLPPXhZ +SPJ0aqq4y1UBDohezC+5x8D7awcPvskR4MG9VXcz7xN/u97dYpVN+L3zRPmJ +IpLfVrYvqM0SYFqs95t9D4jei2/3NcwU4KTB73G7YrK/x263710UwHby7AWG +JQx8+zn8US1DgEyr785KpQxcWT1ZNDtdgIjvO7NEy4g+Ol5XkU0j/Lv/X/9v +Ul/sfmqYdF6AKkldk46HJD8Fepr+SxHgOTPneuUjorfFsSZHk8n822/L3HjM +wBqrxfp/zhC9avCMSyxn4GnbBmWf0wKsrm8WP1TBgNrfXt6nRAEMt7+7sKOS +/G7Lat+eIMCPAxeWmVYRvMQk5TTHEbwVcFrVqwm/DNJ3mZ0SwLdLLnJaDcHD +FDnZ8hgBHMt79ClSr78o9UQ7WoCKb9uonicMKCUe3n3zhACf1SKfNdYywIhw +mFCMIv3F7Mi+/5QBrmxeVGokwePGgeMZIPz84yUUjxCgdL+6//E64lf3Uw9H +hQsgYaq816eegct/tb8xjhJ9c3ztY/eM/P8uIwv/IwIo6uj/Z9hA8uzZgsxv +oQQf8lvOKDcysEs1/seO/wRI6lEtmvKcgaNPXi5uDRZA/FTppxFSs/mHd204 +JIBaFGdW1wsGZGPjE6uCBBiKmbKjtomBkGFOgV6gAHcfvbh5u5n4+8d23PYX +wMdtEz/lJelnUPK1kp8AKq1xHkdfMbCv8kZrmi95vi2x1b2FPP/7UqPEfgEk +w2ysbV4TfCgOlUT5CNCs9uqlXivh90BWOmOvAK3SM10V3jDQPJrr5+clgO48 +pb8ibQzodExe2eshwImooYzfpJ6zrJbl5E7ex4jc8Lad6Hf26wevdhP9ff2O +X91B9Kl2+S7zXQLcvE3V3XxL9r/8F//xTgG+y/adT+5kYEPa3wvLXAVg3rzg +d+QdyTNRtiq5OwSwuD9jq3sXAyLpzNw5zmRfz3eZ2LxnYE/AsEKyowCJaf+t +Wv6B4CFfN36SA+FvipOx4keiz9+eDBy1F2DOYUk70W4GJj3KMBnZKsDBhKT9 +w6T+8PTRaa8t5Hv7e86++0T86YpSy3tb8r3NIk9qP5P70O+mSXabBeiyZtH5 +PQwcMK/Uqd9I9H5GrXHqFwaKTYa3rrQh+mG5M+XYVwbuH/fYd89KgDWJ7b/2 +9jJgmiUXomIpwL+gudvsvhH9Wib+38X1AmjrrK4z6iP367dGB6QtyL5O6Rkv +/M6AiUau40kzov97JjdI/iB68MzakGkiwIu4UqcJUu+2UJf2MxZgp/Xqv59/ +MuBisq7ry1oBwi5dy3reT/TLPvGiwxoBuH6fNxcPMGA7W9K2aZUAtz15EpcH +Sf5Z9IRat1KAYGt2W+wvoidz8i6WGAqQsexLXuBv4i9JlUvVDcj5Cq5E7xhi +oHqm8NHlFaR/lqmf+TC5X20OMZy+nLz/QsPupSMkX7yeeTdWVwAbltau2X8I +fld8nsXSFkBh5jEfIalPyLaFBCwjz8cVhf8aZaBxyvDzXi0BPva2Zr4dI/56 +U2eG0xIBcmzf1j8ZZ2Bx4sUtzRqED3Nr6fy/hG/WqjHG6gJ0qmStTJsg95Fj +bXdLFgkgu9UtJpJB3l9xrWmxGsHnU8kP+5hELy6nfMpSIX7hemuVPUXw9jj7 +u8xCgr8q7ZtrabLfvMbe6Plk3ncKFNVZJD+ypd4ylQR4Vzw9ZwabgUtb/aoO +zCP8bfTV5JL68Nq+iz0KRH8cy5/+5DBg6Rjsaz+X8Lmb49nGJf6mJ6/bKC8A ++6fm9GoeA/N83vxeNVuA47d3vLjFJ3klKTv73iySN6wPnz4vIPdB/XDzhbLk +94kklwghwT9r3+f0GQI88clevu8f8Y/AvQHi0wV4cztvtr0IE4WagePHZMh8 +vuZNXjeJiT+1Mf5/pAXwP31DoC7KhEdjbrenlABnGRdFZScz0d72yuSdBNGP +fcmz+KQ2O8K7ZCMuwHureJ3BKUx83ajfXz1FgCt/Qh3fijGh2Ru0RHeyALs3 +BMTVijOR8Pq+Z+4kouf17nUFEky8vfUnZbaIAKrPnSUyJJkY5emWJAr54LK3 +7zwpxcSrfYeauHw+ZhlvL/eXZuLBkaLOIB4fg2UOC3ZMZUIZg+++cfho4rqn +Wcgwsa1LucWRzce9zcEzdKYxEWFrW/6C5iOyLSlLYToTix+FXFpD8aFg8kB7 +ygwmtuadC7jP4GPp6KeWMVKnF9wwWjjBx44MuaOfZzLBc81npo3z0VrusqxJ +lomp1tcKpozx0f0kf7hsFhO3JyVuD/vDJ/levOKaHBPf5nuM/R4m/bIjUs7M +ZsJUWz129xAfLQacg0flmbB5+kGq7RcfDbdTdu2dw8SFfUcSLAb5yN2y3HHr +XPL+h3zWw34+9Pf8cl6rwETvqkB3jZ98aO0q89ZQZEI6/llV1nc+lNmZx2fN +Y+L3UqHU1D4+2GHnbghJbVs9f1tUL+nX72rbkBI5f8PC02Nf+LBa3Sj1QZmJ +8veilV49fBicF9vWMJ/s69Tzz52f+Ei57H29eAETb9z2M626+ej83sPNWchE +5PCPSZUf+Pg+95BXkgoT7EbjKUvf85EguqjzsCoTnUcP8XLe8eEoy9jmpcbE +6tSIwWmdfPSMf/uwZRHp58bu5pMdfGRZ0/5rF5PzGs2+9reNj+a7GlKa6kx8 ++Xr9gPcbPr6IRJbJaZB9LxVqdr3mg/GY2i+iycT2Ozo91i18bDycpfGH1J+/ +a8dXvuTD56jb3+4lTBwJ4KotbSa/11g3vdBiIvlNxuOcF3yIeTgXPFzKhGw2 +13jacz62rs7IuLGM7HvX0qoTDXws8eGdTdFm4vl1taXj9Xz42547F6HDhCuz +77xXHR9/LWyv+Ooywe/fP/T2Kel/pcFjJz0m8ieVrLGs5eOD1dZui+VM3O2s +iXpcw4fetkuSeiuYyPiVVK5RzYf1N5kNyvpMtL6W/5lZycds9/IkKQMmxGS8 +xKUq+CiNTu2mSX1U329+xGM+JJbdMPppyMSzFm2t4Yd80GHfr3QYMZHiXai1 +u4wP/rRdM7CSiRnx3xa0lvCRqiWRcn8VE9E1rZKmxXxUFYzIZ69mQjU9ePBB +ER/Uu2mFiWuYuHShqXrhfT5GWD6bjqxlInVzR2xqIR/XprEZe9cxccsi2WzS +XT4mJhrv2hszsXkyazzkDh8yYh3+piZM+CnOzPx+m494F+VV2qZMLJj+foXj +LT7yXHOnzzNjwjPApr4hj4/sSN+/EuZMhFbvtTLM5WPqjOBeitTz4zWe3rpO +zlNb/vGHBROVTmnL5K/xYfnT+kvHejKPstyU+Ct8QF/+DzYwsVRjx08qm4+H +j7UkH1gyIbq2SG//ZT44r5J0r1gRvh+9feh9Jh+nfDU9z1gTPdhrcsv6Eh/V +oXJXw22YUEoKbS3PIOc9tql//0ayj4PWwxoX+Dhn9WK18yYmSq8+ElxK44O1 +PzVzw2aCz6tPpkik8nGs5OYkfVuif8zdImHn+JjhJhamYsfEbO2M8YFkPtQS +K1nTt5B5vfTs2nGWD+ewilMCUhc71T94cZqP8yumK41sZcLe6dHxlUl8ONgV +137axsTTravN8hP4WL49P+ClPRN4ZUvLx/NRcXdkceV2Ji5u/ZMbf4rg0yPl +d74DE8s8ldZTMXxEbYquuuhI9Cj+3XufaD6E400ZcU5MnLOc6/nuBB9/vh6M +DHVm4qPa9y8bovjYgv1Be3cwcea2gf3DSD6KXZ/6b3ch83OQrlCL4OO918FQ +c1cmQop8ZqWHk/nNjkzU28lEgLHF3klhfPQH/cxf4EbOc+pafvARPto/F3dM +28XEL4nI3t5QPjRKOiUEpN63pUtm23/kfFa7No3sJvr+8Z7u02A+eHaWlz7v +If1rCyx1DhE+qZ0ffeXORGBr07YrQXyY3jV1qPZgYoeZ9LapgXzMFN1Rf9eT +8FGsYX2EP5nf5NfrLnsxyf14fOnvA3w4+T2oT9rLxI3sNAlXXz4E3ZRDuDf5 +/dCtjy/28WE0dHfM14cJ+pbmNSMfoser6zNd9jEx/ETR9dZePsr1bWxt9hN/ +W3NMXM6LD2l5Y+lVvkwcvGp5N8aDj4yUrHcaB5g44R9hPr6HD5Ez/oVz/JhY +p6b42n030Zc/t8+K+zORZL3QrtWNj5XfHcJpUve4nq1bt5Po+9ug4IEAJiw+ +7dIqdOHjDftf6PtAgh/b8wkKO/gwHJpy6kUQ0TPdxR8TnPj4VXriavlBoheT +FRdQDsRvVAMb8g8x0bU50NV7Ox+Xlr5jXgpmkhymnNixjY//XpeuSAxh4uWK +JYVmWwmfYyQjwv4jeO5IqS+y40Oz732rbygTU37atirZEn7NWazjepj4xS/P +1tObyH6yRzM3HiH48mipZ9nwUXBBd/qao0ysbTpduM+a7Osb47xWGBP917IT +Oy35ONRgOH9eOOHHPr6rxQaCPwv6sfQxJuSzixYUW/DxpHOdG4/U2dX3Pyqb +82GRLyo9EkH2YcVOOGPKh63c1uc9kUzEV53TYhsT/E1ekNx6nOSFCwfr9q3j +4wL/sPvTKCYuO1yy7VxD+LjI0bj4BNG30Ckt5qsJ37iV6jdOMtEUWmH6YCUf +22bkz0uLZiKzvShfyYjM55WyUmwMwYvEgOhpA4KfLws0Q2OZcMtwd6RX8NHV +8sDU5xTpnymf5b2c6GF2s5dzHJn3LemOdl3CX054qnU82YfKOqGJDh9Seo9f +rUpgou/n7YX3lvGh2HZ8plYimWfQJiOFpXyEuXz2mpfEhJzRYrP4JXwMSLc+ +nXqaCZdKQ5MJDXLe8i2aAlI7/HdMz0Odj+k/A3JGz5D88XVc/vUi4g97lJS+ +nWVCcPTy+Go1ov/2e/M7kgn+KkJwW4WPFYHrTRpSmDCYFx47ayEfoaHVvY/O +ET9SvLfm5Hw+9vz3OiX/PPHT5VL9w0okD52KtMlKJXj4kBrnOo+PkNONMmfS +yPnPmCs8VyDzpB58iUwn/Kyfc2PFXD5ymKurgy4QP6Rlla/J82Hy1jPPI4OJ +hTeXJ0vP5sOrSevS9otEv81Dxo/O4qOv9NLFDZcIn6zfbvwxk49p5Xk3jDKZ +aNBzuLhtBh8Req4VmllMHAsd66qZxkfSibJuxctE388USC+R4ePlRLGETDYT +aiORBhnSxC+idloISZ0ke8BeRIro16M7CeM5TEyEBHgFSvBRcyj3w/crRJ/i +4/Z/FOMjyMfasOsqmcezUg/LKURvRjKvNF1jgrrx165ElI8SrYszq68TPcpc +r6s8ieSlwA2p928wobjg5uSkfzz8abyqdD2X+HehbCtDwMOC4MKytDySL8uS +z3jweVCZ4escd5Psu2iWcQuXhyXFXZPDbpH8JJvXt5LDww4NXq3fbSaCndZE +5rF4SFJ7f2p3PhPGw+8lp9M8HLP1dd52hwmu7bEzx5g8SCy5r7++gAnW8AKR +/gnyvqUFSkZ3mVhl/sLP/i8P1ByfmUsKiV/UBjXVjPFQWPhhptI9JtZ0yylq +jvIw+nbS/On3Sb6RqHBPH+EhVGLMcFIRE1ZPnLMEQzx4UZmuTFI7BI4+P/Cb +B625k5IGHzBx5ezJwc5BHuqmajZ8KiZ6nyIhMB3g4ZdwuvSbEiakBuLEC3/y +cMGvdnd9KROnJenJ8j94YP/TrHlURvKM707qZB8Pt1w81AsekvwUVvRpqJeH +pWHOOTmPiN8Vjj90/srDXPe5888/ZkLyP9WYuh4eVk29UhhbTs5vYbp+2Wce +Pn8d3XC0guAz2Yp1sZuH4ucSv/0qybyfGd0Q+chD+p2/l/dUkfzgMs0k4D0P +srnXd2yvJvmy5lVr1zsedGtUFlrVED3wCnQw7+Qh+WgwY/UTon9V468KO3jw +WHy2U7uW5BWjHavk23lwKz4OlacEj1Y5mSff8PC22KxiNpjYvevp8O/XPJzO +f1stWUf0fKDWwKmFB7m5q1/xSR3jknXo6UsepiqE9Y/Xkzy2wO76kmYejOXO +yvQ/I3ny3odn6S94MJQ8bNbdQPLSwTWf+I08nDu2+kRrIxN33h/q39/Aw4wH +n5rrnzOxxPHYz/Z6Hsz3OC0sf0HO7+j0YW0dD7Om3IkpbGKiw+pf7a2nPDiY +d49dayb5+nJ41vRaHsa5w34XXjJxsvbp/vAaHj619YwlviJ6srB9yfcqHi4f +KYo53sLENZ17X20ryfPv3ReGvGZiwHlr0uNyHsTUmc37WplYKV6pvvAxD/Vl +gSfc3hA+3RsoT3rIQ6PcG7NtbUw0Pvq4bqKUh/xts6dZtjPhnpL8aFcJD44e +JgOrO5gYyxNRff6Ah8VbnFt03jLhu9cgRreIB8Ug+ydqneT+tWpRV+Y9Mo9v +a6rmvmNiZuob5UmFpJ9Xs57JdJH89cHA1b+Ah/J3ne8nvWeiNnx7Ymc+D6q6 +CSya1K++qRca3+ah8uSSxSMfmGBEFNfdvslDyPKK3X0fmbhXNvJqeh4Pe3aa +5L7vJv8/8bk57AYPfjfL/rZ8YsI/P7L62zUerh1W3Fr/mejl6lfXN13lwUfr +WHl5DxMmci/Cy3J46Pjzeun9L0wszw2yUsrm4auD0r3crySf20EsLouH6k3u +qzJ7mbA7WVU1comHMMcbbcnfyP3pppuX80WCx+T3obF9JJ+o5vJrL/DgmTp1 +cfh3cr/xPntWI52HgwKLb0E/iH51zp1+PpUHsA4VeP8k8++2jGOd42Fdc+7x +nf3Ev7/MHPVI4cF67fvd2waYeL0pwrb5LA9HZcQ3WQ0S/Y0/eWX5GR70KtdZ +rPtF7p+cBX1ZSTzctjxqteI3E3UyLoqTEgkeWeXOmkPEjzU1rPzieXDNFYTM +HyZ5u+yMT8cpMu/Zm7PlRpjgzDoVtiaW4GfkyhupP8RvSqedyI3mwTJCMF1k +lOgPc0m41EnCz2T/XTSpU9Z37guJIvNY8vXhyBjRC9GpNt2RPHTu91L4MU7y +c/YbJYsIHqx+UEndf4kehyj/LAgn+mOYKdY+QfL68MT1mWFEr25uPPeCQfJ5 +sP228CNkHhozFtUymRjxNpjoDeVh/Y7BhocU4bN2dpLNf6S/9nfBhTTJp7qn +ZhUH87A28a1WLovgs23k/JxDPBgdGhrNZDMx63CXyIkgHmoWq9Sd4zBxOHrd +vv4AHi567bsazyXzcZ1fa+fPw7/elwnHeUxs8Dom+egAD9FqNsdD+US/BVts +lHx5yBF+j/IXEHykXz4Wu4+HMXbWWS8huU/FuF3/7c3DSpfg267/iP7rna+0 +38vDsI1vyzYRChb/jJ5XeJL37Y8VWE+iMNVxy/MFHjxMhFWtMxWlUJnSWRm/ +hwcTvTkJRpMpiMxquj6yi4c10Zd7tKdQuGuhEeHoRvRea73ZYjEKEyfGbKpd +edjbIvtASZxCyzJVKVUXHkQXSWrJSVCIvltVm+jMw2+XpSXSkhSu76zYN+rI +g2RP6AZRKQrOVxUmOTvwsO/hyHcOqWu7Pp+vsefBX+n8ub/SFBy8/8mqbSN8 +S/Ow/j2VvD8/JjFpCw8Cc0/pPhkKaSJe46O2PGwIT/v0cRqF/PYcO+fNPOy6 +xixvn06BeXT5lZqNRK/KE643z6AQ4zi/V9WG4LnYKaNuJgX3557ySVZEH5q2 +X6yUpTBXm2M6uoHw7eipvJJZFOoGfu5yWk/8wWaipkCOwmEntcBqcx6+haX3 +3ZhN4VBn8SEVMx4eOR+RuyxPwfvZ2f0JJqQuT9meNofCzZOP7EfWkX6lfuSc +nkthjt8SXYe1PPBvHp6IUaBwu6dfWLGah4b51s4RihRmrR5+Nn8VD/EGOxv/ +m0ch8OPKiFNGPDyedMcsQImCvlLT4t8GBE+VJk3eyhTW7cl+tlWfh5Nas3ft +nk/my3vg+Gg50esjejynBRTCHCZ/VNQj/tKbfmfLQnLepxe3ndQh/pKzxtNa +hUJmjk/1z2U8pHhoq5upUnhjdVBh81KCj8376FVqFL4olPoVL+Fh9ZmBzuWL +KGwMXvZgtiYPymfKa7UWU4i987n/mDrxs+TOh2rqZF+KdTN7F/Hwc75puZIG +hUKVD7qWajw828lrnK1J8KCw0PyuCg/P6/71TltCYdDtkuX0hTxwg9wlJLQo +6KxfZxw6n+Dp/tR1IksppCyR0fyoxEOBmWwkh9Q3fSXETObx4B69v2liGQWh +67L3uQrED6bPURnRJvvbcTRbfC4PSsHz4/t1yHwqB7YHyPNgXxxGf9Ul8/0Y +wW+TI365Rv/wRz0KkdNXZBvO4oEOsRF2LKew+JHEssszeXht8iijZQWFmaqC +B4LpPDwxiV31XJ/Ms2iGxt5pPFxllw08NaCgWWqS+mIqed8x07xKQwpycfF/ +lkrz8Pf4Uv8yIwqmUf0m5yV5GIqOMr2/kpyPuSuGIU72vVF3Yf4qCr1mgxUu +Yjyox9nI3FhNYag8vq9mMtlf2nOx7DUUlEuMhAtFecgTL56asZbCyxhqWpwI +mVcRd/65dRR+xzTM/CXk4uX5x8ZJxhQSxK+J2wm4mGr70TfWhMKufafGinlc +PKz1vX7clAKDEdIix+XicvDeH0fNKIRLHMgOY3PhsKrDIMScwhTKe/dnmosn +5XdTAywoXJL1kTWjuChxZHH2racQUrq/Ko/BxbOmh4c8N1Aw0PJ3Ep/gQvzo +4F83SwoLWwO/+41z8cb1XLSzFYVlfwO9W0e5GDifr2RvTeHbrwMflv/hkr2Y +NGy2IeeV8DDNGOaip9o6zGojhbe5W7JYv7mIam5ZZb6JgpmUQb/bLy5i3Fqn +rNtMwSptmvrTAS7Wc2y+GtlSyEv+7KLaz8W/KPPG5XYUrm3JiYr7wYWi5uPy +ZVsIPjVsLw32cRHWWvxYYyuFVX6/czd/4yJyz+J61W3ke76HbxR95SJWfGG3 +sj2F46FDaTO/cKH347Jg7naCty+bjoZ+5sLkRI6unAPhCyt1y/tu8v9t6oHT +HSmIzXo6d81HLkqvLy+XcqJwJartXc57LuxkXsqIOVMQnGmIE77jYifr5yGR +HWQ+Z7I0vTq5mKmU2ssj9aIWu9qGDi7KA17tYrlQ6Lz61UqjnYtimXM/J1wp +9G+3q096w8VFds+x0Z0U7Fdm6A2/5mLtVSgNuZH9ZT9K3dJCvjek96p/F4Xd +rfd+Fr8k+5NfGd+3m8KG+eHLZjVzcYt6afdlD4U/H+fuO/yC1BvZKt3uRF+2 +nk5738gFaismdXlQYLe8KlndQPCwVHas3ZOCzPVPz7LruXifMOX3ay8KB+Ur +msjtDGVByWPNe4n+HXcnmsLF+KWHos+9KdAqbXfrnnBR2BeqVu9D5mMvkahW +w8W1qM6ttfsIXnaIucRVceE3+jqxaj/hZ3ST4kAFwUteUOtjXwqjinZtNuVc +/FlxZ2HZAaJXh9LC7j7iYtrU+BMP/Ijev744a+pDLp6rTx0q9KdQfdzlRmAp +F2Ma+nvvBFBY3vJO5U0xF3KNwoGbgRQsJ8tk6D3gQmN5SPiNIArxh3ic1Ptc +PL10fs7Vg4RPbrkOE4VcsOpd6i8fIvOdwb/qeJeL7SUvwy8FUzj1Qarn0R0u +Eup+Gl8IofCP3ywzJ5+LHeEl01L/I/r2ctXysFtc/Dy9dDg5lOhLopP1xzzy +fL9j1+nDFJxOzN+2JpfMw1rndcIRCsns1M3Z17lwv1zVduoohaumRat5V7nI +EPJ6o8OIX2UFK+6+wsXfdX/5UeEURrZ1jzzJ5mJNwxWNyGPE/+71l82/zEV3 +ocie8AgK/zEvBJzIJPx3Ur5xJJKCa8j3Ob0XuegK+jv233EKsv5tj8wyuDC7 +H2sXHEX2q77T6kY6F8Fl7Y+DThC/HY5qFknjQrmgZ1nASQrWosamXue5qMu9 +/eBANAX5krT8+hQu2hWXm+6PIfheFzVJLZmL9EkRn7xjKZwb4m+NPcPFa8/T +p7xOUZCaPOP89yQyPzu3NR5xFCpeldavT+TCd5TB2x1P/j/hx0BePBc5jO0t +bglkXsfzhKJxhO/x4XdcEymYjI9Iesdy4cPxTd2RRPKBZr1YQzQXH26rJDid +piC+fz6ldpILS+7tJIczRO/G/72PjSL7PsPJtD9LgSPte+97JBd7LBUebU0m +fsa2/299BBd8Q6kvdikUHglqluWFcxEyo3mW7Tnix3vyP0wK42KG+S7nTecp +1OycftTrCBdSRrhlk0rh5MoJ8fpQLlRyOSLWaRS2rrQ/o/IfF7vHpPwt0ylM +y9EQiQ4m/HUf711/gYL6ndADvQe58H5Yutcig8KOK0YNpkFc9EttmjC7SPzm +if/MawFED1qenDO9RKFto6y9wI/gf7PMapNMCsdiNWN3H+Ci787a0XVZBF+F +9/Jr9nMRlG5VuvYyeX7Sldp5+7gI/bUiZk02wXMz/eKYN8HLAhH31TkUeKbV +zz56cTHrTZHNqitE/27/LFnlSebbaGG68iqFqHWH0y65c3F/zxMLo2sUzpv7 ++lC7ucjerehgeJ3CNmaNltMuLhbaeh0yuEFhz8XgvrKdBG8NaZf1cyl83Xvq +rKwrF1u/3W9fkUf0OWdCM3gHwbP+w9krblJQjHpS/saJC1fhrX3Lb5G8ad27 +SseRC/Wo+Aa92xSeGe68d3Y7F1s8d+jq5RM/TVgiO7SNi+NfZ+fr3qFgE27r +t3ErF9r7Xy3VLaDw1KbuYb4dFyP+wU907lLoWxE/PsWWiylPpXbpFBK/D81a +6L2JC0eRbHGde8RPbNjm9TZcfA1ThfZ9Co9H8pwWWhO9230zTruIzPfqJbco +Sy62TZnvov2AQvvFDofP67mwptJWahcT/Mk6mKyx4KLVc/Ii7RIKa2znzMs0 +40LX8j9l7VIKWSeUfzNNiD7+7VPTLiP6PbC30MGY6NES+5XaDwmfnwzuKVlL +9iGGHdqPSH4wvjt5+houGpgr4rQfU3h47XZOwCrif+/uPNUuJ3624LP6SyMu +DO4tFtepoFDEtMnTMOSi9ky+m04lhR9uQzPj9AlfX+o/0aki5z1TF9K3nOhB +2IulutXkPDXNjaZ6XMhu2ZevW0NBV3OS9BUdsn+lWXp6T4h+iB2w4CwjeFnf +0qhXS6H0PM9/x1IuXArTfJc/Jf3yqxIeLuFC54nv3BWgIB2XmzFTkwvzOdvf +raijkLqnJCNInQuxSbbX9OspRNT9THi1iAsLUbcjBs/I/n4YB2iqcRFfdnyn +YQPRT0G5RZwKF53NjzcbNVIosNwu3beA6F+z5KaVzynsG5N6bjKfi7QVoU6r +XhD8GfSGZCtxYaPKDlzdRGGSTdtMliIX87Zmp69ppmDs8THXUYGLpMAdz9e+ +JO8vZS8umcPFwRh9MeNXxD/+082WkefizAxdB5MWCuPvwyb5yRF9EbG7b/qa +3FfkOt2ey3LR5HpGzryVwovdpvmqM7nINRxNtHhDIWmg4kfUdDL/fWFSG9oo +LPlpIvdJhuSN4MVZlu1Er0+/MVw5lQsvGa6BdQfZh9SBjelSBG9mrB6bt8Sf +siS3jkpwseypyoVNnST/+z6w2izOhcyeIzts3xF/ueuilz+F4DuR1tjSRWEg +TXSq6GRyXmb+lG3vif9uL/q4ZxLRx2PxY/YfKLjN25FV9Y+D8ZMXBx0+Ev9Y +wNskL+RA//yHEadukm/OZf8J5nNg8NL2345PRD+v6J96zeVghidrwc7PJK+E +1Usv4XBgb/PRdlcPyXMOVnGnWBycPzQav+cLhdW7nox9pTjI/WDa6vGV+EfD +4i1rmRycDHqlureX1NXHr1ycIO8LST3l843gN/jZl/FxDlgnL0zs7yN8l2PO +tBvj4N7pdwf9vlNQ6Zyx8s4fDtYX7mAH/KDw7qvcFtERDnpDFM4f/Ekh1Efo +vGeI9CtQNgjpJ3k+vdW+8hcHH2p9foYOEDxknjSRG+SgTmwi7+ggyS83Zikf +7OdA7kDDwWO/yP4/x400/+CglvPF5vhvCo5H3j1Y9J2DtD4L3ZNDFD7l/Nt7 +4hsHQS9HVWOHyf0jcopU91cOvh0YVIsfIfsx77th8IUDzyKdFUl/KFyem7H0 +3GcO9ufX250dJXzUVsr/1c1BQcrtI+fGKCTeOyy34SMHU3I/3Usbp8DCtf+u +vudgxH7vWMZfCh8yMhtY7zgQkTMxz5ogzzvvEXfo5EBGNehaDoPCLe3Rtfc7 +OMi0mJC6ziR+brnRS7ydA7eOjtg8itwfm/2Oeb7hwPmrhFQ+TcGlz/5U9WsO +lC9cvnKXRd5XxTsxu4WDWaoJJkVsop8RBwIPviTnvfRmuIRDYczuom1zEwei +GyLuPOISPXKLVlZ7wUH3w5jgSh7Bw2vN3shGDvL3DFk/4RM/e3n6QtczDtr/ +ViytExD/iLy1Rq+egyezfyk1Csl9UfpoRxI4uGN1Yl7zPwpHrvLdvtdyMJAd +ofFahIbk7pXv1z3hoOzIF7P2STRaglQ3XKzm4OPke/vfidLYxKnJHa0k87rx +M/vjZBoh6lMmbCo4eF92uqdnCo0nCmyD3MccbEnIXtYnRiOBc9GX+5CDB1WK +Sf3i5Pk/n5Mdy8i+vaZO/JagYT2v+eb9Eg6GegL9RiVp1N12vS9WzIHWXIvR +CSkaJY/O5rsXcQiPz0azpGlMD/RIr7jHgU75ZhX+VBofxzsOzSwkeAuPaRWZ +RuPf/j5TvwIOjkfqJolNp/Ft4uy/+nwOguVd7KVn0Dha2VY67zYH1uk89Rkz +aez5XOgcepMD8z+KUrNladSfUBpuySXnf1LJUZhFo/f5wv8W3+BAQ/49a74c +jerOx0PHr3Hg0h46edFsGjmvPjt1XeFgueEF5SXy5Puvz5fo5HDAW79qg84c +Gv38NkH8ZQ5earuH6c+l4Xc82/hrJgcehdJVqxRoVAb+CVx5iYPnj8wlTRRp +LB97ce5cBtnP+n8+6+fRUFdXzxtIJ3iKtWmzUaIxqCt+xzSN8PGOss0WZRor +dA5cvXSeg55Hx187zKdhZb4pfjSFA/FXgR6uC2i4JN1xt04m5/s0+m/PQhoF +i2O0rp3hoLWPX+StQmPU8F0/lcSBpF6un58qjciP1y5sSSR4tPikf0iNRp9O +r/7teA6ie29JHVlEQ9HpQgP/FAeLtSVHIxbTuOFXZeUUy0Gzuti3aHUa+snb +qu5Fk/P3ZfcmaNCY8slxweSTHNB6r0aSNWmcC2487BZFfr+cKXFhCdlH0PUn +pZEcrPomsvyyFo1df75TkhEcKOyW3n99KY0t01JUPMP/v89Hd28voyE3lGNc +cZT0K/qPe0+bRtL1aZunHyH4eja6s0yHxsCmbxv3hRL8jUa/qNSlsUBs1pon +IRxMRNaYQ4/gbeTGPLlgMt/ynObny2mMzzv7x+8gB0rBGu6vV9Bg33tTWhfI +wdEIt0md+jTWVfv5zg0gfNcxLus2oNHs4Tb9oB8HkdteBn8zJP1UXMtv9OXg +18fJJoNGNCZ/MlyutJ/gx2pszuhKgoe+efdCfDhYoJIsZK6ice3X1rnNezk4 +NKeHwVtNo0O87fACL8Kf2d9o0bVkP86XGw57ED3fkC0hvY7G3j/3Jrfs4aAw +QFpD1phG8MAUI9XdHFyT0XdQMKEhujPPJcyN4FNJPnmhKY343bEBra4cGG8p +7dQwI/OWvBm8yIWDxh4ZLV1zsq/Dor7HnDnQPbo42ciChn3Fta1tjkQf9/H4 +xutJPXhEU92B8GXaxUjLDeT8Sgl/I+w5mMkalbCzJPv1a73fvpUDsfFpeY5W +NN4PbNqpsYWDseyxTbusaXDucuhIWw6eCi//22tD40/Tp/iOTRzMzZra4L+R +Jvo5LKa5kYPdUjYZ/22i8chXK+y4NQdR9bahEZtpKMld6O6w5ODcloWesbY0 +ygI0dDQ3EH3Xf+p2xo7G8fi+kOMWZL7TdLzTt9BwOPzsTocZB2FP/Y9lbyV8 +sm16o2HKwc3myKt522gELhgdiDTmYLjfo63QnkbuP8Px9rUc/DRXnPFwO+lv +UvaQ+hoOzDLu7K5xIPhfpfQ+YhXhx9vplQ2ONNzLysvajMi+VLaovnaiERTn +H73YkIPbpn5Z75xpOMLQ7Jg+B6mL3Od/2UGDFyo31rqcA4eP+iX9LjRiHk5J +VdMj/Rr8tB91Jfp4TlwtTIcDbvSRf/ROGo3yc2+3LONgpffvmn9uNF67Giqq +LCXnrzBPkNxN46vv7hOHl5D58iLdZffQuOSQ8q5ZgwOn1iuW89xpDGs+V5qv +Tvg58/bqRR40lrEmOYUsIvmhP2Ottifha5tF1HNVDgzzQjYbedGYqI3NVFQh +fpC35oDpXhqab5/lBS3gYPumkQs23jSuKIpcr1fmYJ7uuVZ7H9Jf7upkeSWi +Pzlq8m77aCiE+/v7KRK9fnjb33s/jfK7F9bUziV4+7jgTaAvjQsbyjgz53Bw +vf+02dEDNN5tbyz0mc1B546hpyf9aIj3NdlVziL8sbW0O+1PY42guneqLPn+ +4QuD6QHkfaU53h4ziF7+6U29EkjDWPrAx7Jp5PyvNTbmB9EYkl1gKi7DwboB +/2klB2l4dtZk7JQm51cu+lZ1iOjrTrOe+5IcuPuP1jcE09B7kD9bRIL8f4NB +aWsIjZHPYyaOYkSvl0U8+PAfjWkjCq75kzlICX9e1RdKnv+10JsziYPknbM7 +hw/TuNkt6mEnwkGWbQCXOkL0txm214VshPm16omE0fj91Elrgs+GZuvKUOlw +UjeAZcljQzXpQePsY4T/vcLyTA4b1htWLF4YQaNt3kzfIRYbd8gFSyuSxpvI +vxImNBtxHO9phsdpnJDOvXyeycba6LmZplE0trYqK3+fYKN4vEd30wka81v2 +njf8y4ZZdtU7x5M0/KVDGAljbGzNKUhyj6ZBp1pt7P7Dxvmhks1+MTSKfL6m +LBth49O6jnmHY2nInF3TGDXExms7Gc6JU0RPpJyH236xYYW9/afjaBz7qTtZ +bZCN4AMfejPiaXxSeT71cD/5XeD763oCjbUN8mIvfrCxXGvev8JE0l/bgrG5 +39lge40tKk+i8Wvj15d+39i4/PvnjvrTRG8MHC7WfGVDjCWS9foM8ZP08O3T +vrBxc2D94IezNBb5bRO6f2aDWX3P8kcyDZuqdzkl3Wxo6ZuWjKbQeB4vvlT0 +Ixv+3Rwt7jkaXu3fCxzfs/H8549SsVQaEjm+CrffsVE0g2sjm0b8fDA9nH7L +hs0t0xHldBrm5Xtf2nSwoez16NqSCzReSHZJX25jQ+2Om4dhBjl/76DxUCsb +8z4a6ppfJPhae9lj3WvSb9+GqXaXCP7nDf6X/IoNDvMM7ZJJQ/pk29EvzWxM +pEiOe2fRWOVrH6DbxMYGjaesQ5fJfN762p98zkZQXem049k05kJOo72BzOd4 +74qkHBrR2g4jKs/IPCfb+mRcoVGjoHozpI48L0ffunGVxsWYE5ufPWXj9o7v +jPvXaLz1OfB9Vi0bUedmbq+6TsOorsffu4bM517Mk+c3aISndv94WMVGetOa +lW9zib+83b1lSiUbFwtXPv2aR/LAKZ87TuVsNPIinYZv0jhzbfTvrUdsFAxP +47Bu0fBW4WhTZWx88By8NyWfxvUpsa5WpWzkXJ0RJHuHxm3rxMMXi8n5fROM +FxTQsO0Tj+kvYqPfeMu8ZXdpnG4TRhndZ8N4917x1YXE/2SCAuIL2Zh0/LWI +1T2Sj1K3beoqIPP9cFbK4T75nsutuep32Gi9d13Fo4iGmpvf+8O32ei5KW0d ++IDkubQr8Y032bgr03bsWDGNCtY69dl5bPj5jNYklBC+x1k99r7BxtWOAzIZ +pTQyllcYPbzGxvf3pgG5ZcQPmefyRa+yocI5+vHBQ5JfX7yScMhh48uOaU5P +HhH/uHFgZ+5lNtx7p3x9+Zjkg/D9OeOZbJQY7j36oZzgw/JZq9klsv9h1fn9 +FTQWCo6Nn8tg4/OszW8nKmnUZp6d/DWdDRHOh4si1TSWSFPiOmlsvFn41nd6 +DY2Tmx9xI8+zcc/XcKPyE+JPW5u+vkph4/0BsVVLawm/pLUfKiazsVTd0nD1 +UxrC0G9hB86wUZ09bmYN8v8nv2tXJLFhwpjh5lRH/FB1+VuxRDa8/+XG7q0n ++cOuydcpno0ho/yq4Gckj9O3/+SdYiMkUvXfiQaSB2Vfef+NYePoYTnHlEYa +qqkrXplFE/6Ynnyc85yG/P5PKudOkPM82adR+IJGYfwz357jbDicbbxd2USj +4dvgtaWRbPiq3jRoaib50W/ji/BjRA+uirR3vST7lf3+5UUYG1NDv0T8fEX8 +42VZ/+yjbOwwXWfIaKFJTq38svcw4f+GBfxJrTTSdf4+L/mP6NPJxLcz39DQ +qnG7Jgxm45d/aMXCNvI+JcZ+u0NsNIkOFeq2k7xuXLkwO4gNz3VD9006CF9m +FjQPBhC96D9ca/eWRlpcnZeRPxt6M5N7dnWS/ST9G4o9wMY5ixXSAe8In6S8 +fdr3sxH5fb91RBfxW9av1vn7yPfLtdNOv6fRZHZeM8CbzNcoYSjrA/G7NseQ +Si828uSOOBR8pPEww/CemCcbNS10c0U3jfuRel0O7my848za2vSJ5M2Q9WPX +d7MRXd7U9/4zjct7Azgjbmwc3zMnbqCH+Nu6AsaanWxkX/pnSH+hETpAf0lw +YcOeTmKK9dLYYe9c2enMxoPW4mfy34g++NTHqjixoVMVfl29j+iVzBqTIAc2 +Rn58P2P0nXzPoHqwyp7o2cqJOKsfxN8a18eKb2Nj1dlbKc4/aTgXtMs4biF4 +q/p3a18/DeWXXonXbdm44CvacmSAhuFM5t/hTWyculDyL36QRun+eLvVG9mo +cJfccOkXybuP5DLjrAnf+2ZczP9N8sqPKx3tlmzI8hqp8iEaxZ8W8JU3sMGa +s3Rf0zCN9pjMOX4WbJwpWv/jwwiNO3VTVB+bkXnNmBb86w8NjxM+SpNM2aAV +k6dyRok+5D4S22LMhm7ks8dS4zS+zGT0Zq0l/dWVHpz3l8b5svmFP1eTfS9x +W7lsguAxUN9n+So2BiZqZYwZNCIW600/bsRGX+WXv3ZMkucgW9BkwMb9wdr+ +PRTxF7WPK+T02aCC9/w6SNM4qB99z3050YfWWs5JFskPnRLyhbpsZBT1Kaax +aVj8DjxIabOxrLV5Yx6HxlLXogrzZWwsqg5PeMilYTK5afysFhuKuWNvG3kk +r7ZWKH7QJP3F6Om+59OQzY7SV9Mg/NmyLmtQQGrbOeuCFrNh5yknyxHS5B5y +0qBSjY1H3KosaREW/nyvUJqsysaxMD095UksyKQ8YWxZSPY3FPZOR5SF3Xln +a7LmEz5ppyWZTWbh/uRFoT+U2FCyjLbdPoWF3rToebrz2OgqsZzvLcbCK+28 +0nAFNmyZ3wWHxVkIfRS/umEOG5Vprn8SJFiok9QqniZP5jf37nCWJAvJkmfk +XeXYWJH2gV0oxYLChfyAPFk2Riu+z66VZmEo4XjpyAw2dp5+Y9Y2lYW0Z1KD +K6ezYTH7yrE+GRbqF9nJxMgQPfS0fcaYRvpNslBtkSbzYXxVFJ/Bwo/WQXV5 +KaLnVm7RCjPJ+zuM53lIsPHYvZpaKstC/0FTYYEYG1sUJCJMZrHw+dRQx8Rk +NgRWxtPs5VhoGDa9aCzKhoKme/He2SxExq7ZmCBC8tOPIM8j8ixcW/RxqE3I +QqrhIZWkOSxsL1SIUhSw0AaPsey5LJj+ZQv38ljYRlu2Fimw8P3t0eD7HBYO +eC6orlNk4aZWagfFYuFE28jjznkszG5br2ZGs7B16aO6ASUWuq8k701ismAy +fPgTR5kF7cCA9I4JFk4r6k6etoAFpTlfSuf9ZaHTYmCtykIWev7rrfMeY2FF +bnaMgQoLn9yCcf8PCxXb7D9Yq7KwKD+liBpmQXKFhLGbGgsjy4zOmg6xsFm+ +oThoETlvg49r4i8W1Fac1I9ZzEKZ5Tz59gEW3MY2NGaoszAa51iv0M/C+h+y ++wo0WOC5Td/j9YOFD06Ds59osvD7ysZfd/tY+PusubNtCQtOKiLeE70EV5nl +uT+0WHCs1m9d+5WFqM7SE6ylLEiZf9U41UPOKVrrP1WbhQ0JIsEtn1gQXv28 +b6EOC9JemQVy3SxY2U0LNtBlIfbWjfZdH1iw8dh+2kaPhYDF837d7CLncX9Q +ums5C6yHk8aGO1nYqLDo96EVLJhrOPcbvGVhoXGJXpw+C1+3zGqJbCd7O7gz +PsuAhRjByhsNb1gorFQZum/IQrl4vc/UVhZ2bhBzrzdiwX/dAwXHFhbufJbq +61pJ9hnEr8l+ycKEun7o0CqC58C7W783kT6LI2b/W81Cn/TDdq0XLNy9ONwo +t5b0pTB3fUgjC5c7Y+KWrGPB26czr/IZC3NbzR1NjFnYhf6Jf3Xk+bylKxxM +yPfYtvo2ILzoMlnga0r4+XWy17la8tc+et5xMxZWWkw92VXDwpqmCfU0cxae +/vFIVq4mz8tmmOdbsDBQ9i/Ju5IFES1f/5r1LAzv+XW4sJyFeysO3WzfwELc +k7n2fx+x4FVeNNxvSfrKOTtv9UMWvvipbeBZETw1W7w7UUrOE/vm7kwbMrfp +q6OeF7NQ61i5UGMjwdeaQHmZByxckOm5tW4TCwZze6443Gfh0C+TNds3k/5C +4uUuF7JAGfT27LdlQVFu/7HeAtJX+rPzx+1YJAdGvlG/w0Jj/q/t6VtYmLOz +cVbgbfJ7/vZFBVtZOJtmYl12k3z/56QpT7eRPa3tP8DOZUFfm8fotCd4WVAV +YXqDBdrLhPF7O+HVlIrIuGssGDm9nCTiyMLx8p6AV1fIvqLyFs5xIvzma9rO +zGFhVtZLO21ngsfrlxR3XGZh1YL1p9fvYOH6Po0POZkE36+mdrm6sKAyt+tU +30UWxu9rLj/kygI/4sZCzQwWIJ+THb+T8NwloTAwnYXcZT6zr7iR94XGLS5L +JXzrirtatosFl4ysFNY5Fooq/xm93E3mGV3Xb5zCwoO13V9697Dwi8fRjj3L +QvbVqRdpdzLP1+u9m06zoKydu2uaJwtXKrKSZJLI+WZnrFjsxYJlNOfK9gQW +utqH5qzbS+Y2tPfGpTgyL7GCqQ7epM/qt+mfY1mQmPZyhp8PCzUPrQ+rxPyP +ouuOp/KN4imSzMwkCRUJZVZkh0SUIioysskmoyErGpJVoiUhlZJE5BhlSyHJ +JtLA3ddd1e/8/upze+/7vM9zznedPt17UYfe2Cle8MJ+3Kzf63V+Cd6bmlnk +eeN+tmlyPz67BC5r75155oP1Uy+uXIxDHFzzffPeF/XSU+ygVizq7t17/GN+ +S3Dyauxo9Bn8+037Aqn+S8ATOHS0PmoJQte7j/IHLsGlRpXmZZGoV+sXjisG +LUGQdbCMeTieS2jxl97pJdjaU+SZFroE61y80+yDUd94WvN78M+bAo47/UOW +YK6yv3ENvu/z3kZqAr6PldP52QHXdQ8uaboVhv0PLP16C59r9W/1nRe47hma +f/cY7vOox3xaR8QSFC8KP5PHc3AJHUqewn3wSOac88JzF57Vvc7EfT5RZhiU +YZ1SYh88XoPnqPumOz+Pdc1JzhzYGoP45bZL24F1X6G3WsgUz81tYSgRgX25 +cJPv6DGsi4XX8uuvsY81O/MqwuKx/rK3mCzsu9/tCqnLWMdulWX2hogLgrtT +RtG5JRCz1LmVgDjytbwuWY91D1fT7X2HuHvBdno6cGEJttxcRuVFXEqee3V4 +Afv0xfgGr7X9ErgulfKtTFwC/akffNcQ51aSGr0bsM/lmsvZH5EXZ18cebgz +GfV4YWRYDHlTyhZJO4i4mOwML3NEntnN+pz1S12C8xfbvG8hL3k2uyZcRByF +dQ+IjiKPPUOp2bcRZ3Dy1tMNFqiDUWo1VelL0EMR3emOOjC3h/d3D+LyqJFR +RRHqxhHHZLW5K0uQzZCR/I46Y29cfn4Z4jrt86MAZdShQreYKekM1NvLYxX+ +qFsbpEj2WsiDQ5/eTj9BnStWFR+wyUT8HjPnJuxGveqcPuWNvLkyEiqugTpp +dMyT50LWElzjMxELR10NGch6dQt59i3v+bJXqMNnUyIjXyIP9+g1jNJRt0Vo +guY9uYiTIp+SXajrZ3WPbZpD3rqmPnaLRR9QuuwixoW8PpGXtKoefcPaeL2o +TD76XzLlzp9tyFtG9kYd1IF+bpqiEfpOu0WXoR3qhP/7lLwL6FOFThDoV7gE +z888Yjahr70Xi3yciLqS1Hto/wr0vb0q80uFd9H/YlLS9qJP6rYrOdSgDnEr +m75ORl/NjFZq7kOd8ky72N+KPkzqJRouPEA+HDAf50WfHu5P6OJ9uAQVCpe+ +7EMfL0oZ81FA3Wt5vQ/S0PeLgleKGzxC/alLyunEnNBzl917FHVSeXj3MX7M +EQ1LLbfDUEe9mr0EbTB3OCgfj75ahrojv7LiCuaUG05tHqWou90P1hr1YK7Z +TeRzbSlfgjZK/ltBzD1iiop+46jTco3pKrZCqC8/xZOYT5GHL2eTr2GO2vpl +8pk46rxCTFnvB8xdx3TTfm5/jnWq6+cVxlwWlCGkbY2+sGeLh7od5jgHkYhr +3pWICw97swzMfdwX6hkJ6CP/pB9Y9GJO1J3+EVaIPjNEt90ljDmyxHyJU/Nq +CdLvO661w9xplLqYO4C+JNFS/f0a5tIff3qMia/RB1cEFX3AHCsul8/ir0W+ +80fbCmHOXaZn904JfW4soW/uAObifbcphWbog2JCZ4OvYo7WDruUerIefeBo +xGw35u4zi0IJceibwSuqrQQwl6fypKTnNSwBf61RgTXm+Dx+WtFL9NkOWeGx +dMz9bq7OPb3ow7u+yAt04lzgJ/h65XwT+k165FY+nBt47woeXNWC+jTMq7MP +54wvJ93LNqGv3z09qJ6KcwmX+UtRk/eY436MS7biHBPsznPFBXOAzvyGBW6c +c/gmj0rEYk5Qk81+YYZz0XLTZ89y21G/ZfecuohzFJcjn9NLzBWU6+I8TTh3 +ae/xX/OxE3m9Vib73zgdYOnz8DzmkBmHA2sMcW7TGLGq4sOcUvarND4e5zzP +kM7CLZhjXkdvG3yDc+F1e+c8s148X2GfLBPnSKmMpXtumHvqOLcP78Q5k8BT ++ubsJ9Rv7eToSJxLa1QCZ/IxJ12duZz2EufYG9J7N9RgjlJ58jSNhHPvnQFt +388DiJetP6K341zsl2LQTMbcFcnedSQI5+j4QldVEcxlr6FwQznO2Vu+Fz5S +G0LfExP/8gPn8oEb7B3WmONas2+d3YJz+5df0V2+mPM+TWwTPYVz/h8PqaiU +EdTxzPbs++/o8PPq1x0PMRem7w3imWimg8K2ZnbTGPpkrtSp9U10MH/zcXAC +c6Sq/PvnzkCHCdaq5j+YM00uhP/OfYtzoaz/WxnMobttN4oP1NFhgwizffc0 +1nNzh8qaN3Q4kVA9cxRz6/c7Adtta+jQNVgkEjWD9TnCo3C5mg5Jac022Zhz +SyeylrdX0cFDVvJWJebgzCHxT9wv6bCR9y7t4xz2+0vyVZMX2J/dJz0ImJut +I2Z2nquggx3DaUIQc3WdhfrHN09xbnS+GqiKubtw1s1xqZwOOWN/+azncU6Y +i+nUeoxz58lnr/0wp49+i1INKaWDe/vdyEuLqKfBDvFPHtFhltBnVoK5ft1G +sTc/HuKcGL1PoZWIOn356eymIjpc/suzZhbngB/mCv/c7tOhf261CDcF+T5z +emXhXTpsP+Akp4hzxDLWdfZQIR2uOlIMTWmoizIp4+IFdPD+OXTaHeeO7BHr +ioP5dGjOFq64gHOJds9E0JWbdLifkPvvLgN1PtFoXXsu4tUl1A1wjpHO8K1a +kUMHmsTdT+OsJRBOdNpjlEUHZvmmw39x7nEiClTGZtIhfffyWVmciyR8EyWq +M+iQ0rk71QDnptTYWm/SVazPh57dLv9QN18/KVa9Qocrog2ceJyzIp4f6/NJ +x+cHi3ws4MK5jNw4/+ASHSJbml/W41w2KTRGHUvB9R99KRnFue32jSe/1iYj +H9oPP+FwM+CNgNqHw4l0cPXXblq/Eufu1SfuXktA/Mac/74H58Al6Z2uHeex +H9E6611WMWBZe91q7nO4vuJRj7N8/8/Zcw8N4+kw6TVXU4hzZZVGjWpMLB1E +03/KNfAzYJhn24OXZ+hw+/mJvHGcQ6HUgGcxig4PbMzk/gky4GrxgoNyJB1z +zd3XcjjHbkvdle3x/7/je0S4GYsw4NcXmcaCUDownrZIu+Pce0U+5+tgMOIr +6uq3BFEGFCzcnxQ5Tcc80//2Ac7Jme+NPu8PpEP9yfzSFnEGPNEIfJ3kT4en +6lNFMzhXJ77ZlNrgS4ejT8sreKQYIPLDey/Dmw7JW9ldW3AuX2W6g6DhRYfP +1b0MS2kGmNmdSw3wxPt91HT9cI4vy7UVLHanw6N3kknpOOd337lzYfwkrud8 +ebp8PQMsFwKmpFzpsEPv6qEeWQa081ZtP3SCDjulNn5a3MCAD+ERAenH6DDs +u9ddZCMDHrx6nN3iRIdKtb9cmvIMYBw6Us5xpIPQXpuXhxUYcLf7dIWOAx2C +nmhERioyILhs6d7pw3h/TYVl3iYGHAqYP19yCF9Ld6rUbmaAWM5+m0k7OsSI +XtgwsoUBtmXCK6Vt6VD77ovCHyUGPN66++khG+QToWen3FYGfM97Z5K+nw7T +xr4uJio4x0dWtDTvo0OafEmW5zYGuJouabItUA/rrwwnqzKg+PytDC1zOrRm +SmuWqjFA4mnW1wAz5HeLfX6nOu5n/zeRhyZ0qErTFVvYzgDHwWSdUSPUo4vt +BcIa+LzeM5bihuhfHvw7NTURj69qLWz20JEX/6aOaDFAmcdCK0kP+bKhrDBa +mwGSe2QE63ehP+xf6Z+vg/X4ojtA0aVDmYis5Vtd3M+R3EvbdOhQqvdbe3In +A5S271Tx1KJDpk+E1ordDND7Jlmbr0GHzRkNplv0GBA5r6nTt52OefOdh5U+ +AzreX7rDp06Hc91XswL3IL5/SdCMVRHPt6Q/ZxgwILT/y64zKtifJD+ll4YM ++Mzu8qtQpsMh/Yvpg0YMKBklpH7fgnrY5PGXacyAjQTjLNnNiD8bgURZUwZ8 +K6+/fEQR9c4taa2JGQOI6W6hl+Wx3lydDaf2MsCcW2Vvsxyed2Yy8pI5A85k +SHIzZVEfyB0GTywYoFuk+GL7ejpkNaRKfrRkgHG1rbX3Onx/3rpl1H24f8Oc +voK1dJiipLCk9jOgsZJq0S9JB8vBbp491gxYk+pfyifxPx4W5d1sGCCoQaUb +iaFecxZskw4wwGpzhmbUGtSP/u4rpbYM1Otdx58Ioz8FZYx022G96xZDpgXR +j39q65MOMkDA/Fn4WgE66Ac3lEvYM+D+9whP29Xop1QNNb3DDLgpamyctIoO +BvrXwPUI9lNfcPWblXTo4fnskejAgHV9XxsJ3HSQ/rVKqtSRAXb7ik5tXkEH +K2610e6jDKgV8qEd46LDw0GzSpIT8j9HIfz6Pxo8OWJ9S/IYA/wP9I+9/0PD +nLkvU/84A2SKo3TYbBr8jDTMdzvBAG6B1bE7WDRIqVGpSnZhAImYXu7FoIGB +jcTEY1cG/Guid+TTaVDgwlr38SQD+Bf2f+6l0uDQykkfmhvydSKph5tCgz6e +d+/XeTDgx8oHlbtJNBiZe6Jt7MmA7b13k04TaGDRm1/ldQr1ozjOrGiBBgsX +rppf9kL9o2gSvvymQd7yy3PPvRkwvqUlVeAXDbacvpE/6MMAj7KtgiY/aDAu +/NCV48uA+VnP85HfaUBPatVS8Ee8WgSPl83QoHSSKb0vgAHLta1UxqdpYK5u +tOZ0IAO+riV4iE7h+XJvSmcHMYDPxfWSxQQNxE7yar05zQBNv+z82DEaWP3K +cJkMZoBL8bVbz0ZosPa75q2VoQwQjtmfPP2VBicyyLOqYQzYYv3eRXKIBv0f +eswOhzMg6iJHYf8gDb4f766MiWCAV/LCwNkBGhy3m9e8F4n4rM0Jf9FHg5UV +29+1RjFgZxL578xHGtRL3fJeiGbAu/1c0Wt7adCaobJOPIYBpqEwYt1DA563 +c+N6sQxYf0JF7XwXDXyv9Fa5x2F/ThsFVHbQYIg1c/tSPANEBTk5s200eP1s +W3bFWdzvLZena1tpsMOkqHDwHAOuR7q/sH5Hg5lPB2v+nGdAGjfPg3PNNHD/ +rTGzKYEBBiXm51804uvb1vI2FxlAadhoNdPw//9rvx8cnsiAhCdZ/yTf0uCr +y47e/CTsd+/tB1Z1NAhZucy4OZkB7y/pasbX0kB0SaD5ZwoDBnTdnz17TYPr +/C4Oay4hf3ZLS029osGf5WTmrjQGJC8cDxSrosHFZ50VbukMKKrc8sy8kgbB +5YtRly4zgPd71Gj0cxp0nne2e36FAXUzVktlz2hACRHZPXQV+cZf+HfkCQ1M +9KS0l2WgP1YHkQXLaXCVFWisfB35ZFrbZ1RGgzOV4q4HMxnAtfrs3dAS3L/d +mqtnbjDA0LfaqaiYBkcKPHruZSGeazz+DhTh/mQE5DqyGbD78PnrKx/QIKdT ++CIpB/Uyi0941z0aPKgOpkvn4fP7/sb43aGB18y2eNObDJjzPfEpv4AGe79Z +iQXcYsDoMzmJ7nwaTL1vr8vKZ4Abx9z8z018XvnTyPrbDDhQ1u2unkeD89wM +49kCBmgJvPA/mUODO9NlskJ3GLAQRzx5PQvvj3vPv/Mu4t32kklTJg2Snh3g +d7vHAL/hSGFyBg1GN5qvT7vPAFp4dYfCNRoU73hsWPkA8RdiGXL4Cg3sDZLC +RooYcHDTlhVJ6TRQq/r4mruYAUe+2V2sukQDFascIfVHDBDial6YSaFBW8LH +qKMleJ6PMeYSyTSo8E8lXijFvFIckWaeSAM775q4x2UMmOqtqI1MwPXD/NYO +PGbA8SLlweLzNDC1z2/9U476GDI6/vks6sFV2xSlpwyYSW3v54n/n3+Xjh56 +hv6o96tKJ5YG7d6WenEVDCB/MbzodYYGY3uuqRc/R3xVtOjnRGF9M921e1/g +89dETb2LwHpZgzWzkgGV+w+HU8NocGDjswjFKlzvsRNJMZQGB6+oVhx4xQCe +c4nHDwfToMfOkB1djXok+unFxSAa3Dg94/TgNe7nlSH1RQANYnfJt3fXMEDj +ZYfClB8NpAiMfUu1qKeOwQYivojnR/4j8nUMMJlX3WvkTYO362PO29RjPmj4 +p3v6FA22FW3WiX7LgCapWYlCDxoYakVy7jcwoNp0eLLLjQblz3w/dwMDrl0a +zWO50oBF+wtLjQx4pPlTb6sLDU56GNcrNCO+0/50HD2O9Xuq3HmgBfPToKR5 +ijMN3k/X/TzzjgE1JzWfVB2lwUunf+sevsc8FXTg37QDDZSViS69rainll6G +a44g3pdnVbLaGGCkGe1nZE8DneRfa7d0MGBH5IULQQdpsN2Ncf1QJ9bX4Vzi +bVsaHNNoWHe2iwF31p4O67BBvUveU13ajesvP3BgaT8Niu7EeA70IP6OrhXf +bEUD/eZwhWW9DHA+0dNqb0mDLmE1yraPqNf2fl4XzGnguOXx56OfMF+f+0l4 +aob+sOJXR2IfA7Llrb1HTGhQ947cW9HPgI9nL7evMqZBL7t5bmQAzzdQIqlr +SIOETa5rVg2iX/sUHvTcQ4MsqVYb7S+YzyP9oq7r0SAt6s8ttyEGtBrzXXq7 +iwZGzBXMK1/RX3hjk3/p0gCkJ/xqhxlQuqr2tJQODQZfXJ+fHWHA4cQWs71a +NNDjSCWIjmFef5XLHapBgxcGMUpG48jHse0vCrfTIPl51UTABPZn5xWrTjX0 +l7LespuTDFDjKuuhb0O9PdKR/H4K/SEq0UBRhQa7ZIvDydOo5/1rb9kp06CS +4BUuN8OATnvvybgtqNefVyfbzKI+7/ATK91Eg8KFm6Ux39GPijdoDijQ4FLy +mvFHc1jvhcQ9y+Rp0H00avPAD8xDJrmaqnLoB07t57h+YX79ai/uJIvnPcj/ +S/03AzYTqqcSZfC6qqnPiXkGyL+B/Ir/P1dJD6KnLSBew/yNRqRooFSVkfd6 +kQHPbKt6V0pivz8/3j9LYMBQcr61pjj669tGYTESPs923UsXUfRfq4HvxmTM +b2M7VqaJ0MDy/o/e0xQGvPYd2VslhPV5x+ksoKI+bZIKnhDA89IlhjppDLCx +mEpazY/nsdReYtBxHuDamaLDR4N3087KSgzMu5ckwt14aRB/Ij3AgYnnEYq1 +vsxDA93etsZEFgO+tLoLV69APhqtUa5kM6B5uqNhkgvP63X6/iQH+ZtV4cy/ +7P/PAYyqCv9lgDW/yKTOXyoQbFw7Df6h3sf8OOTGoYLrxFJM4DImJAvpVqSz +qKC3rFz/NhcTepm0pSoGFchWscKdy5lQ479ZdYJOhSIzLxpjBRMSM5qs+WhU +6NsUsqDEw4T43DZHLQoVcuMLlhxXMiHqqfYBFxIVBI0XxFJ4maDOtXJ7KoEK +QbJepq9WMeFZwy7O8wUqbH+9PHGGjwmcNZ1Vw7+pcOpm12cxfiZsVXrtxP2L +ChdaGvXMBJiwpPxnTu0HFTotZ16ECTLBw/SWx9HvVEiV0NN/IMSE8cJL7Rdm +qGA43jT4SZgJk6fapR9PU+Gp5dkkrjVM+NHo4Nj//+febUP3aogyYXFY7Rxn +nAp7u+9KuosxgTJ8IHPzGBWaCSvZ18WZwPWzMsN2BPcfWUFqlGDCGdVjMdFf +qfDtZg6LKMmE/d3Gtve+4P73vJWQX8uEV4ueQh2fqTDEp2J2SJoJ92oba0n9 +VLj9eOxiwjom9NkfObiujwpy1l8HXsjg+8dl+kw/UiHsu9zu6fVMYCeIGwV8 +oIKPQFWF6AYm3HbTz8vqpkJ2Ws4uMzkm2N65OlzXSYXYD5394RuZcNllFd9M +OxVW1B5KeCjPBJGmUgWBNipcXLfD5LMCE3h/Byhpv6dChoiX2MpN2F+OrdSJ +FioIGVOWdDcz4ZukHTmxiYr5YGLRZwsTco/51ZQDrv9CmXFTiQkv5vL9+t9S +QSanX6xTGfczNsnDrqNCTc2UCXsrE44f33VV4Q0VlBUdLqpuw/Odv/PPqoYK +EfGqn11UmZDuK+ISWk2Fv66hehlq+H6ty8U3q6hgfk6uslGdCdF/+L9CJRV2 +XtDfQ97OhHXfMpa+P6dCmUD7kKIGE5KWiXMJVVCBttCW6qDJhH2hOTTtp1TI +cdGzStXC+h5c8/l4OeJzZLNsrTYT2muS7l4so8KL+dQVv3WYwPNu/khZCRX+ +WXpx1u9kwp/LFrTeYiqM0pp47XYx4c7WjAv0IiqcHbi9OWE3EyJftdDXP0C8 +/WQ4vNRjAsly6qjZPSr88fl6c1afCQqMmSK/O1RwCDZalDJggvtY13BGARXk +l9Qd9xsyYY9QFudVPhWOXin9GG/EBIH7O/lGb1Lhq3eFS4UxE0YfVy9bnkcF +470Wf6ZMEF8mgt+Ucqjg8TSwQtyMCbJndj0/kEWFQzLKEZZ7sR6ndHzDM5EP +OtHWseZMKFjLxX8rA/ExdlLnqQUTSkpv3my4SgVm05TGpCUTprcwRWYuU0FB +crmJmBUTVIrlIvjSqcB7EDws9mM9dPia1S9RYU5HNi/m//93O1fJOpxChSfE +DeNPbLD/PdIbYpKo8PZh687JA0y4RtdTvXORCuIyEg/F7JjgEya2ueUCFa59 +FVK0PIj1tru36sc5KrRve1kVe4gJToXjgwJnqaCmyOv8zJ4JQn5dGRpxVCjv +Wi0yfZgJGY2eWo4xVLD80vhVwoEJoc8fNsVGU0E9UbXaypEJBuaX9e5GUkFf +4FDx2aNM2HlZ/E5LOBXq7qqVvHBiwt6rBvNzoVSQymytm3VmwgPHFZsFQqgw +HrLhm/Rx5BPJY9+O01TwTdWVtT3BBA1fZ8cjgYjnBRH/iy74vJZvtmf8qaCk +87yj2hX7J/BPo8CXCl6bpPb8PsmEc9al/8CbCtEk8yY5dyZYXhp9/e0U8uWc +qfMRDyaodd48xutJhcPagtxpnkzYsnZ4TsWdCtTm4qa3p5iw9kzhSduTiM9y +8RtkL9QfwkRTqAsVjvM5RCr5MGE46Y5QznEq3CsMCjjhy4Qv+oPmNc5UWJ59 +MiLTjwk31ib5jBylQtaw+vVWf+SzXHH4XwcqBJsNN7ADEJ/2uv7yR6jg0uez +TCOICfKvtK332lOhsHnwiPdpJjhaFUr6HMT9l2+tvx3MhCciQd1ptqg3u710 +P4UwIVjgfuATGyo0CKe1rAxjwuM9uksf9lOhdvim555wJqTc3xpI2keFVrM8 +ybAIJozonekSs8T97UweLYlkYl6Qk9A1p4JOm/ersSgmbOCRsXIyQz6I77kv +doYJDzX9fGJNqDCfwnfPKoYJf6+sDCkwosJVTu+L87FMWLGG6NFgQIWxqBuD +r+KYoF2nYDypT4Xi8/ZC8/FMOJl6m3e5Hr4+LeascI4JV0KO1iruQn0iDlU7 +nUe+hx52MNelAnvVfaWMC0xYnnxlxFsb9aQspPx9AhP4Hv6zvqRJhQ2Z+005 +F5mwur3sUdkOKnC+b5/XTGLCx5+pvzvVqbAqXrHMLxn3z5W3bl6VCmfKtsbc +S8F68AxoCW6jwrtFoxNfUrFei/o71bdSge9HkL1QGuKzsmuTnRL6pXPlcfN0 +3J/FBU7wZuTjHZEz8ZeZIHffseG6IhXc/NJLXl5Bvldb+7+QR3+MU/z16yoT +xuJOLOuTQz+KGjdSyED8zCRfIMtSIUazrtT5OhPEv737JbqeCl0vGzZlZjLh +VICkkdY6KthY/3zZfoMJYsHRZw+vRb85Y+i4LJsJExMzxeGSVKj3buTflYP6 +WHG8JkucCq8tgweCc5kQ2zNU9VIU77ezf16Sx4RKFefb/SJU4A7zvjtxE/td +/TWAIkSF6m+V96XymfDp5NEtYoJU0MrVfW13mwkM8d5OTX4qSHRSJlILmCD1 +zsDZno8K634RZBoL8f5j9z6F8lJhKlQlgHEH8fyOopXJQ4WRnSU9O+5hHiBo +X3i+ggqLHC8zv/tMcG51q+7lokLT2aDu+w+YYK0dMbj4jwLyX+p8h4uYsHFT +4KTgXwoEvz+6VqwY8X3BfECVQwHzOqMR60fIT40/L6xZFEhgRr1IKmHCEfnr +Mf4MCkzHcN1+W8oEk11slTQ6Bdh/JvLoZVgPV/3WEioF6miSpdvLmXA09oB1 +K5kCpUMPu3yf4P7D1d/MEClw/FbG8gdPcb0dI6IrCBRoKRqyGXmGeSTnoIP8 +AgXaii4+Fv//c0dplxOMflPAl3VVxvYFE94QL+W5/KSAfdXfu6mVWN9n5nlx +cxSYmv6ys+kl5olHDRduzVJgliDzjVWFfKwnHn79jQLrBLvua1czwb9vSOTz +FAWoX+bCT7/GfNUR/po8ge9/Eu1cWoN5J7HBUmScAoEBsfbTtdj/6VdNaqO4 +Hx6K6/o6Jpi/c9xsPUyBF0nfzjnWM+Ef350w3yEKCI7YVl5/y4QTNy6VJQ9S +IOKZLrOzgQm794h1PhigQMr+e4d5GlFfZvUGoI8CQX/Sm4yamJDmz2kb/UiB +qtUM09hm9P+yI8XMDxQ4uH7xS1UL+vU540DJHgqwfAIuEN4xoetd/XqtLgrs +n4vYo9KK+na0tdquA+s3JCDg1Yb1Fj2mF9iG9x/TIdxtZ4Lyh4iSS+8p0NVP +mB3uYMLcKbG/D1soEJphRJToYkJ2haZhUxP2a6OS0KFurE9Kr88YUCBbq9To +Sg8TdJq+xzLf4vnEWpPaPqAe7oyMlqinwExb4tjyj6gPEO2i8QbrMTppZfgJ ++b79t+qBGgrIukx3xPQxocyle9a3mgJWJmkur/qZ4LBh7aWkKryuN8JNGsA8 +aN4ldq+SAiI3PoPqIObX0ulLdc8poDt97prvFyYckj4+N/iMAo59X0IeDjGB +P0BjO/kJBXaYT3tPfkX/DfZwEyynwKfKeyHrRxBPzF+xymUUOLRr7TWnUSa8 +G2o7Z1ZCAZtvlpA9hn4xTgtwLaaA27AW96dxzJdfQ01jirB+vRMnBCeZEJ6/ +a3n2fQoUtOzvsJpighHBovzZXQpYjp2xSplGf3p0y6CjkALXc06PNX9jwsGr +arXfblNgaKVq8r8ZJnCH/pP9ewvxpFlpvOc75o0NAoFrb1JgzfAqkZg5Jii6 +HSzSzKXAL311yqsfTJha3tFik02B5KuKv8g/Md9/DOvxvkEBh9BF6vbfiI+s +/Y0XrlMgJOCGWNA8E+IkDhTkX6OAoougxeMFzPdy0e5VV/C6+akrc4tYn5j3 +wh/SEU9l+d83EVFPfmmXzF2iwOWUyiMeJNSnPc1KXKn4/IXywbtk9G8t/8x1 +yRR403A5cIyC+p63dUYrkQLpUw6SMjTEq+ofuQMJFPAY5R1womN/Xk/t9T6P +519fVpy7xISXf/rtz59FfG/VuzzAQD9q/mh1M44C4pX1SaIs1IOOga0vYihg +F6d14yAb6zUwSu6IRj5OP3h5jcOE4uLZh9ORFLj9dPXP7j+Y3/79NmKHU+AU +LUiT/x8Tvt6bbxELo8CqA30ZVstYkGE9s0M1hAL1Zjpcl7hYsA56U/aepsCZ +hoKU1uUs4H9T/v5EIAU2C6/eyMPNgg3siIUIfwqEeyb0mPGwwNBY+e8VXwrs +K12ecXElC2YtmpceelPAy+XGqSZeFpzpMhquP4X1itSwXcbHAuP0wuIBD9Qr +4Rlro9UsmDAccp53o8Aj9XKXc/wskHs4T19xkgLWG9MT3wqwICziS7yMCwVW +3E18yxFkQYVfzm/N4xTgFr3Fv0eYBUN7FM32O1Mg99aHoDgRFiQ+OpvofpQC +xeObZ96sYUGj6/0nZxwooFV+7zRLlAUbZS83ZBymAMnAVFBPnAUqN3fWPjqE ++hwm0BgjwQKJlKKCt3YUKHy8IrVWkgUNBV2+//9uz/5TKh5MKRa0Xn8i+9ua +AuNbLhzaLc2CSkmzOq79FDA8s9ohZh0LSqYvm6zdR4Exk47AWhkWhJQkPle3 +wOupjTeZ61nwSkpplfleCoi50IZ2b8DzzIbtO25KAZMAL7VYORa0NHuGhhqj +nnwXz32zkQU3TtIvphpSQFtrlRhbngUHApXOFu5Bv/AweaivyILhm5STL/Uo +4DTYZBW/iQULWUe3dexCPBIvr3i7mQUE/oMT47oUGG198OnPFhbAs69xVG3E +h9rqKkNlFtRuJS1brUWB/NfNj89vZcGKrVmn5TRQv1R6XzWqsGDeqf6d9nZ8 +HkfzM5cqvj7lt2K/GgWUxUmrzNRY4L+Uq3JyG+pBNd+hJHUW3HtjohexlQIX +9ROfvt+O/Xfy1kxTosAmf5cNvBosOBLDJXZnMwXercsv2qfJgu73wqOVihSs +g4FBuhYLnsxevdomj3wMt/ndpc0CkQtnlEblKJD69t1TQV0WqOt3lxFlkU9C +5Ul2O1kg+jZZnGc9BR43coVk7mLBjvL7PtLrsJ9qPcH9u1nwqWx9kdpaCkj1 +CSRJ6LNAzYXSaiKJ59vV+uToHhbc9FXodxBH/xJm/rxlwII9wY/a/EQpYMpV +rj9qyII+0fiHZ0UoQH88dn+DMQv4aHf9MoUocH7PjfXuJoif10JSxQLY31Nd +5UWmLFjFfPekZjUFogSv2X03Y8HtY6DSvQr15PEw71ZzFpjHsa5PrKTAyfUv +BwIsWEBkhE2QubG+srLVzyxZ0By6WXLlClzPfO0T0j4WkC8K6UhzoZ6fLKvW +3s8C2w6VPar/yBDI9elztDUL4iajthn9IUNXbBZfnQ0LfnoSltuzyeB/l3zo +7wEWVC9ebz7FJINQC/GZiR0Lrqxz8o9ewte11zcmH2TBsgQTVhqNDMTlg4/a +D7FAoc4qrIBChrvVzSYCh1mg6h7U94xEhgLdYyS7I4jH1WXrmghkMH1e8CrL +gQWHbJn7+xfIMJZ/5doXRxZwtxzznP1NBosTGvEyTiyQ/NvhufSTDGsYaedO +OiO+s81s+H6Q4cdYbk7RMeSXzLv1Mt/JYKNzsmnuOJ5ny77PqjNkeGI5y6Xq +wgKXfd2RhtNkcOtQPhriyoK/Ygf+2k3i9T9qTVUnWeAl03bafZwM0010I6Yb +C14SdNvCRsng+SSl38CDBXnyt3iThsnAdWUi7qIn4tHk1/acITJcrOLZ3XaK +BbvHtxg/GiRDiwFztYA3C8ZTrHe9HiDDiq4G0kEfFgx2HFnb3keGD/lOCzm+ +qA/aRpNDH8kgSm77M+zHgjp73us/P5ChqmiN4sYA5E9lmRKrmwyPxHe6eAWi +PowplKzuIsMhTf0nj4NY4OoWLCTTQYaJF3IixNPIn3eXXba1kWH1+5+XdEJY +MJkVka3/ngzBP25JxoWywP7olpfWLWRIfKtZ2xjGgp15hbXHm/D5cjUhKyOw +XiODJQH//w5t8TYDm0gW6JR/OBv3lgzSNZkbbkSxIPdKgv7lOjKsD/0pPhTN +ghc885P5tWR4aL1744YY5Nvt1acfv8Z+xCUYn4plQVvf1+naV2RQ3NIW+TiO +BWLbHY06XpLhbwl/IzEe9UQrPnHoBRlu19nK7TyH9fXcVzFXQYbv3Dezzp5H +fTV+3Ux/SobYs3Pr313A/u5//5bnCe7H3aRu9UUW+HEH3xN/TIaXfY9OH0pk +Qdn8c3/FUsRP+7qdN5NY8P1i6nrNR2T4OXpXfCIZn29BeGX8kAwyAXq8W1JR +317O6No9IAP3nt9CQZdY8NHq1F2Xe2T4/atqW1Ua4jvJnxBwhwxlKrdd2Oks +ODpJ2RJbQIZflHsPTa+wwGiIY34pnwxmJm3L0q+yQHsuwSb3JhmGDoqHfbqG +fpN6Xu9hLhkMmlMYa6+j/miShSuzyaClqJjtlsmCfycHu+EGGWSjFvaW3mBB +eppyaM91MlT8nV1NzGJB1eZZzvA1MqSGi3zfmcOCO+WrQn5cIYOyV/Dg+VwW +mGVmdNLSyWD3iWe0LY8FoTZRAivSkE9dX+jCt9AvDtXqiKSSISt+dotTPgtK +xR0sZJPJwFevGXjvNuoDn4WhSiIZArhbWn8UsECv6JLszgQy8J7J09W4w4Lj +h6VnzM6T4Zzbq7qYu1jfy9TMg2fJcPTpesfmeyyQfSup5BJHBu2iTzz8D1hw ++Wh8kV8MGTo9vnQeLsJ+dsrzRkWToV5PvbjgIQuUklfYX4wkQ3HAaPZsMQv0 +abJJ18LJIKcxdUu9hAVWl4IK80PJIOhuWhVdingsXyx8FIz4CeGaaSxjwenO +wuTKIDLont64dXU5C0YPRh9pCCDDKcUHiYefsKC4LHp1px8Z1mZcphQ8RX8x +vF3y2YcMeh5jZ74/Y8FIzPi2KS8ytNbeFNvxnAW+LQZ5857Yj8n3LTEv0P8T +X/1ccieDT6BHWkslCzYpmCqucEN+D4adEqxCfvFMmgm5kmE/k3nk6CsW9GRd +tpY+gfoArGP3qzGPaJrobTpGBu+N0VG/X7NgwPyP8HYnMtDzIkp0allwSrO+ +e7cjGXaRiQvn32A/jseG7D1ChmuTFKvOOsS3ojbb1h7rn3W2Tvwt7n9+NtD5 +IBk0PTJNTzaw4PHaK+89bclwP19rogxY4MSryHPahvz/99BlUhuR72tLtp3Z +T4bISSVno2YWpD0R331xHxl4Ms/rprewwFTeV+2KBRkiJkO2fn7HgqiBwlW5 +e8nwvIatsbEV8adY2XnXlAzb5bccDGhjgVTA/fAyYzK42hESq9txfyt9V7w0 +JIPYHpcerk4WlB9aHlu/hwySZSGq/3+v2sNHgV/e6+F+b6nev9mN/HMtkund +RYabBtnbZnpY8K7/gcWQLhmmasu7tvdifnHxcZrSJsPIu4iEuI/YjyMLB39p +kmHJjGTT9gn1RkhjB2UHGfwGNqmL9bOgflqdzlYnw72ZNZtPDqAfbvn2gFuN +DKfz6zXKP7Pgmfp+XcFtZNiWuOXI0iALUu3cnktsJYOXmv0VsyHMp6PyazYo +4XV+s+GMr6jvypedtmwmg0vXH4PRYRbMJN9MUVckw8HIhNfKo1g/c4vbuvLY +D5MBi8gxFtTUXM81lCPDq9X0303jLKCqR5yxkCWDpdf8I6FJFnxYmje2lSHD +WZGa6ONTqDceSwQHaTKoH3FxLZ1mweG6jGQXKeTT9Pgx2jcWLB2s5PKSQL6e +NgwynWXB2eDjpwLFyPA6/kJOxnfMvx6pT8PXoN9EP+ofnWPB70jNsVhh9Ne8 +KiWVn5inKU6UBEEy7P1Xnhn9iwWOm5YIl/jJcGRl5pr3v9FP7fn6M/jIEH3R +q0R0Afn8/nJBLi/ud1z1sNsiC2Tex9oU8iD+OL/EnxGwHjf7potWIP/23J9n +E7HeyRknH3ORofeU/bAVGfXy09Pm5/9I4JnGNZ5HYcH25q0Cr/+QwLX25dIs +Ff0+/5/+WzYJ9N/7KGnTMZ8UbrNvYZLAQkcx6OISC9yEHtt2LJHgVs7P9o8M +XE89WqOXRoIw33o9ORYLLI0zWAMUEpTEFTYHsVnQcXGxbJhEgi1bs9zqOSxI +0s00miSQ4N6qQnH+v8iPW+F1swskUBGFced/LHj6O1P2929cf4DTULqMDY5+ +P7yIP0lQ3u/0aomLDTF24dm0ORJsiBlosljBhvhh9TLWLAmUl0fN5HCzod1c +6uG/bySQb94jO8vDhuYu5WTuabx/VC1Qm5cNWY9O2vBNkiBHweZT4io2nBGu +YQqOk+CD8C2bfj42bDBSvyo6SoJd36XHFfjZMBLYsFJqmARGLT3JYQJskP14 +yltmiARVMXVmzYJssL8r+0RuEJ+XNSslKsyGAuHZL4oDJPjbYr3cQ4QNxo6v +fyr1kWDHZ8ryyjVs0Ci5PrXtIwkkEyekl4uxYaNuEGz/QII5zhpLe3E2eOhY +JWp1k+CcSUb6Awk2aH3ZqLazkwSnljnPkCXZ0G1DrNdrJ8HYmrAjZmvZ4N36 +UtOwlQRb6RPDWdJsWAz3uWbyjgS5r+9Hz6xjQ3IS78e9zSS4aF+vorOeDfu2 +XF+ybCSB/zZNarIsG76m/OG2bsD1fq8cGNzABqF+a8aBehKMnNDvVNqIr3dG +fzr4hgTXDg8OnpFnw8rxuOuHa0jwS/grs0OBDVfIDjqO1STomjPTktmE9b/D +1ehURYJesw2JgZux3vxxO45X4nl4fH++3cIGa/eGFJfnJHB23ewtrMyGp21t +zSefkeCZ91Gm21Y2fPDKmnF/QoIe/RVFlSpsiHaXnfd8jPu9ourJrcoGs0n3 +r16lJPhc3rfbUY0NvLwuT3wekUDa8M+WUnU26DFXe/k9JEFcSbkKazsbTg37 +rAh4QILkn9N7bTTYwN8TnBp4jwRKeQ8j72iywZ+8gRR0hwS+X6j1RC02tAaE +GgcXkMBr58A6Mx02yDl7Robkk8Dd3CojR5cNKsPEjNCbJHCkH1n3Yyf2R1Dy +elgu9vcru05vNxtCRHojw7NJIDVvEHFVjw2CXGtNIm6QIOX1RrNJfbyfPU+K +uE6Ch+9KlLUM2PBg3f5LkddIcCW2f1OK4f/f87yNO+oK1kemZOdXI6yf9lWv +qHQS+BxQdlc1YUOCR8CTqEskUJB3vn/eFPe7vnkoKoUE1Eg9Rp8ZG+7HXf0V +lUSCIJE+ry3mbKjP6ZiKukiC7E8bf8VYsCE1Iawh6gIJopRUk3ss2TB1JOlC +1DkS1CtTdeWt2GC6ia0UFY96sOPsv4j9bODm7q+KjMXzTnWNt1vjdd5VSpFn +EE/bpwbWH2DDZ+PccxFRJGC3NU6F2LKRdzF14REk0Fp+mue9HRucC56NhYWR +oHr3LyPpQ2wYmNgxGxpCAtkQ/cwgezaM3eZ8CjlNAqG/7symw9jfCcGHwYEk +WC7geUbSgQ0CNW7HT/tj/9YYCQU4skFXi7QU6EuCQ1/Yb+AoG7a61MUEeJNg +OPf2OXFnNrwwqZv0O0UCs1Ubnf2OseHJ73lVXw8SRK7I2N9wnA0/Ttm4eruR +IHzfD3sxFzZ8q/4cccoV+71HI8zXFfXmV1KIxwkSyA0ElL49yYaHKx0PuR0j +gdiW2zRRdzawRM2lXJ1IkGfT4uzrwYYUCdvm444koETMDrz1ZMO8WJC98xES +HIzh9RHzwvOL3mlztCfBpk5lET9vNvBJjMkfOYj1GLP92ODDBlW5Le6HbEmg +TTxXIu7HhnzNyGRbG6xHWXWOvz8b1h9qvWa9nwTBFzn5jQFsqIuTOLtvHwlE +pY+8lgzC+r1wPWhuQQK/4YZfgafZQCUXrjLdS4LO5SY6LcGIf4PeYkNTEqzr +HsuVDmUD49qikr4x1peYJxwSxgaZmaVrOw1JUJsTfLc1HPmxe25Yaw8JlnyC +LGQj2bA9rYZ/hx7is+w6d0QU6tsHH3nVXSRYeXL0a2c06sMKkoyy7v98cGyV +j2HDTbmDbEVtxF/8v44zsag36xNATpMEthMjM71x2D/ieV+ZHSSwbFqUVDqL ++MvcR5dUR718tdvt3Ln/vyd90FdUlQQ7Z5sbP59HfIkrNQqqkCDkStoutQTE +44Q2Z5Uynuf9jbaki2yQtuKs595CgmP200GjiWywM49R+KeI9VaI26adjHx8 +XyLAkidBko3rsispbMh+kzhClUN+Hcyc/5aKeBDnyyDIkuCjgyRRPw31t0VL +6ZcMCVI1yKuz0/H9Vf+KZqRR395vMpi/zIbMQV+eCSkSLBt+mbL3KuqXRID1 +VwkSlLk9mCu4xgZX1+VR/WIk2HecdJKWgfy7rZLcs4YE9+89IhzIZMOlmokz +bcIk4ElryX10A+t9R/ZQkyDiL8ja4V8W+onOpGAdP+4nz3SbUw7W01uxoooP +/bD0ydoXudj/td+0n/Gi/galy66+iXjVlLlbwkMCt4OTuz1vsWHXrbaFeyvw +ebsqg+rz2dCjMbMxnwv1U5yrVqKADdsmA3dl/SMCgdYnE1yI/Eh10b7yhwhX +Irfmtt9hQ8XqSvFkNhGS+lcpK9xjQ9p+769nmUTI9Qz7FHcf8a8UdTFqiQh9 +FX43Pj9A/CaOCQfTiKCjQPXf/pANX/RuJvhQiLBdTPR4WjEb0tUefDlJIoL1 +q3aPb4/Y8GrX0honAhG0b0lfNCjF5+3K2nFwgQgKDqtr88rYcIIvTGvfbyLE +mBbwkh8jn5Iz1hn/JIJMf1+QzRM25F6am905R4S48ee/Hz1Ffv2KzNk+SwSj +av0Ergr0+0TdrUrfiDAaHq5+4jkbfqpuvr9higgnTU9Qql+wQbje4I/EBBE2 +fGH3rnnJhkLeeAPBMSJ42dq/C6xiw7WZEXfuESIIFHp+bHvFhqtKzv7sISLw +LulQFV6zoamI4EgeJEL4tvbt52rQD1VvK/0cIIL7Z7nEr7VsOH3j6OhEHxGW +lxktatchX0o2Rg5+JMKfLJXQ6/VsoOmTSd0fiNBvNss//5YN/Rva7Vu6iaBZ +GNpgCWz4tOFOXm0nEaIy+i4VNbIhgi+ksaId63tPIOBfExuKynf3FLcS4UaI +vNfxFjac+0R/e/sdEXKuS0a/fseGOfOiG5nNRLi8MH9PrJUNkf161qmNRPhw +pGw6uI0Nj8xq5+IbiHCWZLunu50Nfa7rfMPqiWC7b/Kpcifqw7xzt88bImw8 +4bYzuQvP9ypc3KWGCKdL+4emutlgedbT2L6aCPlue24YfkD/Wr35oGUVESz7 +7nre7mVDmXyV2Z5KItzu+WPD+Ij5JkVARuM5Efjmjts69LHBiLV1cPMzIgTY +vfWp7GeDufGqyHVPsF/ym24Jf0b8ShctCT0mwirL3OnAQXy+Od1lRSkRKqTE +9nZ+YQNP4p+SpWIi8H+691bpK/Ihs+rz7yIi/Gaa2iUPo19sl5qbuE8Ec1c2 +Y3oE/UhKfrT/LhEKbne/MR5jg8LKD1VthUQQI9Zn3xnH87yWDq27TYTo9O4U +zgTiaeafSMUtXM9uWeaxKTaARXz2gzwiVL49/rJmmg1r89LZOTlEuNY2tSA5 +wwaxq1ss0rKIEB+cYxw5i3gdt46IzyRCQkFcef931DdTenJwBhFEfbPVNX+w +YdVp+TiPq0TYK/a94/pPPJ94x2GHy0SYqAk7S/jFBt8fP4T3pREh4oeBle08 +GxoL4yv0UolQdc9a7ekC6tvseU21ZCKwle5sFSCwoSZ48aZcIhFW5u82DCCy +YXy+ZXpNAhGKhOUCOknoD/wcYe7zRBDsc3i+lYL+HXtjIz2eCA7644JpVDbc +nr0o/iOWCEH36hN/0Nhgw2r//fUMEfSCqGv2LaGeebo96orC855OqylhYF7u +2rv3bQQRdn07G83LYsPd0dD3z8LwevNnWx82+oHRt633QogQMpNl2MZBvcjP +Ds08TYSvyfUWSn/ZcD4voeBiIBGMnx72Sf2H+WW4+HG4PxFefXW+N7eMA518 +f26f8iWCR+NnkuVyDqzvuBji4I18t2s/XrqCA0H1msoWp5BP93XHV/Fw4G/y +qhZdD8RvtXyM30oO1Lb9M1ZyI4K90nXVTl4OnFQQfyDlSgQDj0SGCh8HjHVN +vvOeIMKmX39HL6/m4DoXBRnORHhtxDM8z8+BkRUDUj+OEqHpQAHhgCAHEpg7 +eIYckE+xrbIVQhx4vyHnc9thInxRSzklIsKBSGHOpdeHcL98Ey2hazig6u0u +V2JHhBWpA/r9ohz4Wd94M/cAEWiGAd3a4hwglkvQkq2J4BxeHJkrwYGoruPa +kVZEgLspOxmSHHhRec3xlCURyCliosfWcsBuqez4YXMibP1mw1MvzYEf6mVm +pmaox0W71myQ4cDCQqqQhgkRhIW+6lxYz4GANpN6OSPEq4BG+LQsB5bZ9tkI +GaAe21h07JXjgLeYTiNHjwiTtLW7SjZy4G6pl+TvXUR4b1MBfAq4XsFJu6+6 +iOer/G6Bihw4e35DQJs27t9BQ7p3EwfujBf6vdLE9cwUf2ts4UCfxdf9RTuI +cD1v9nO2Egfy93YLZaoTYZn52a9Lyhzw8gx7dU6VCE6jv2nHVDigpdZmGKhC +hCdKOtsatnHgxrbWx87KRKAQj8fIq3HAYM6fabEFzzdyajJJnQO/556raG8i +AnXDYbcf2zkw/DLLUF4B8d61lWmtwQHdT0I6QhuJ8DDq9+MKTQ5MvZMVYsui +Hj+9EymmzYGHovUdczJEOKCw1zlahwOJBrM+A9JY3+FxhxHd//GS/aNRCvHS +HBlgtIsDpZqt1k8liKBvvSq/aDcHdv+NyLwlhvvtKZji1efAUllBbfIaIrw8 +qWMauIcDF6p2vQsVRr5KDdZ9NOAAOX/vCxdB9LfoRFsdIw5IDNddsOJHff9g +yLplzIHmhVuaOnxESLUTgL8mHNA8ONy6kZcIEuqkAk8zDtyMO2MgwEOEWt2F +rPa9HLj3Izh3aTnef3TVQzULDuQJ13+aXkaEqWemPTcsEa89z8dv/yHAO8cH +wox9uL+OC+OhTAKckd0a4LKfA9v/jj+wpBGg23F4otmaAwr2zdtkSQTwanoT +pHyAA8+fyMeQ5wmgL9cjfs2WA9NkSnrbDwJs2yTxmWKH+125w71ghgBxSrnP +nA9xILWjmx0ySQDbIw73wZ4DpuuajpmPEkCDYP908xEO6A+uOCc9RID1pTl9 +lx04YDt02WuhnwCO+nJryI4c+MS0W9PUSwAlLqqvkxMHeMQsE7K7CKClsna4 +wZkD9gyfVz5tBAhbde3U5uMcYJ4te6rXQgB3PqdVV04gfyKX+wsCAT5+in9P +duGA7HO/XxNvCDBW/ue280kOjDM/q1dWE6CWe/xyoxsHXsoZ7kyqJMCbgk05 +Sh4cUJy/ucLxGQGkV396fc2TA0lbxrKUHhNgt95PCu0UBwg5XD8YxQQ4JhRs +5eLNgUd/Of867uPzOD4173w44KPYOpJfSAA5+mdjVT8OBL87HBdwiwA1fW+n +s/yRX/cKxvVzCHBdVPEOOwDxG5HHI5BJgK0bV4V7BiHf2HrEkSsEeLA5zL3r +NAfWLJ69U36JAP82efpphXDgwYqjInFJBCgvnky/HYr1Itab779AAPXo+fcr +wjlQ4PvIUDqeANk56esCIzjQvn41ey6aAMnX4NJAJAe668djq8MJQJG+KmIQ +zQEL2rqGpGAC/Axivig+wwF26Kt39gEE+HVmZZBQLAcyRx9e2+hDgJ3xNSbR +cRzQGZ2QWfQggGWI6I7JeA4ESroE1rkSIGNCapfVOdSn7WIXLh0jwMrtH5wr +z3Mgrp3h6OCI/XTSzZFJwH4kcJPk7QmQJIKT1EUOZCyp2i4eIECUrYbzYiIH +itp8T7+xIoCeS8fU0WQOFKc/O5RiToD59wpJTSkc+DJEXTpkQoAjPHuNt13i +QPY+TXdZAwLUbVSTzElD/ge6XP2xiwDxudM8/9LRD4YC419qE+Cau6+w3xXU +X5mj6ud2EGAur1mz/yrqZ4to0T5VAvDV0oINMlBvTuQOiyoTwDRueVvJdQ7w +hw4NjCriaw5hp+gNDjxO6818JIf9/trQHJ/FAb9tYWtCZAgwWx3hM5fNAZGR +6sO7pQgQmyKxxT6XA5tksp2Wi2F/aEV/6/M4IBOwbGOXEAFSZhVISrc4kGNF +LstaTYDMe3l/buT//zuobvTjKwkg9o1709/byP/7xjyblhPg4MfgU36FHAgT +SB/8/WcRBoKHGwbuID5+a/q/ZC7CsKOVlvE9DsS/0GiMpS2CZWhjU/l9Dlz9 +FD9kQlqEjjgTf6kiDpyrW/1y1cIi1E73qSY+5ID5+Ce73h+LEG8bzUco5gDp +YfuznJlFcJXTXHa8BK/HzvYen1yEpCzeNW2lHIht3fBSfnQRPKxY+lqPOSBA +9Hea+4LrfRBKuFuO9TjWCE/6F4HiaTXJ/5QDXL4SP0N7F0Hd4qnzmWeo9zFu +A7pdi7DYYrgwU8GBrt95CezWRbh+ddntQy84UCWD4bB5EawpdI+GSg589yiW +T2pYhBubN5lvq+KA+jpf8X1vFsH27zWTm684sDeX2M5fvQi5g7udeF6jn27T +Mep9sQhD8UppYTXIL1XV6BtPF4FecHxgohbzw4+uEIeyRXDrHdl9oI4DZk9X +q64tXgTuo49r39RzYH/reOnwPazXqq7Dyg0coJ01nCsoWASTbrNVuYD9k9k4 +53pzETZ2SXxZ0cSB+m8xpRuzF2G3inljaDMHamRMt01nLEJry2DLRAsHbq0I +Di66vAg7B3umDrznQNoIPeJU6iJsVlVbV9/KAbGpXv3NiYsQ58kK/P93jC/b +Eltmzy2CktTu4Zsd6LcutoKPYhch9ulvd94u3I/5pJR31CJMb5DijupGPdxT +8G1z2CJ0O0DjTM//vyN5JmQ2aBGYz77nHe7lgN76gIaHfng/+UZa80f0G2// +Hk+vRZBf/T5How/7czawUMF9ETQik+vv9XNg3RUf9akTi1Du3/9H+DMH9tUf +unDXaRHyml46nx/kgLyWfJbLkUWQ4FH9uPiFAwMS3d4yBxdhYsjI3fUr8j1l +H3vIehF875MEPgyjHxRfOZhruQh7zS37DUY58PT6Ne/DZotQXWhS9XSMAwzP +vQYiRv9RXOXxVLVd9B4SkUiTBiGVVxSlMickGTKlIilEESlkioQiQ6HMCklR +hJREaB9jmcs8T3fgTmQI4d77Pd+f63fuPWc/a6299n6mQK2MUig2sgoSqm86 +m1URvq5a/3R0FSpl3shFHEf1ep1YZI2tgrS+qq7ukSnIrF7SdiMiPvIu78YO +TYFy2K33wyR0HgestEJmCtyXMg6YUJAfHuwW8d2H+B99Xg8TSF/BXDlFySnI +qjG8r0BdhS/bUnmndk3BVbMW40zaKlzKIb1+JzoF7fSdaiKMVTCrecC234z8 +KqSm/ZC5Cgfd7XaICU8BpifvMD+1Cuc/PVjoFpgCddrKK8c/iL/wX89jeadg +8ubbpe4ZpMcf/Wl97imQ4Zd3OTOH+nlyTICbw4RP99KWyuZRXjlFT5YvMwEX +nX8lu7AKFjd1Q+8uMCFQ55hD2uIqrCWujsnNMiHBx0lb6B/iuy6XTWIyYVAz +Wi14GeXjGt2Bl1Qm6LTnmcytrMLRmCofCzITWjzrAh1Zq/DNbGunwBgT9vKM +/Oxhr8IGZZU/1YNMyK5eOWhAYMHgAYlmv14mNCZLFFRgLNi0seqGQicT9MpM +9eW5WTDcurGG0saEmqkYTuYaFmSe5ht+2cQEgZLxX5vXssDWKrXU/AcTPMWM +Kh/zsmCRWGnOV4POs+V37TIfC8aqnT5UfmfC94S7E7f4WdDZFlvn8Q19X1B9 +35gAC+WQbLp0CRPMDxwItBBkgdgv+eODRUxwctee/bGBBYkuz5/G5jPh173I +YDVhFniF6b859Z4JFzg8coUbWfBkyuDe0hsmGKx+ndmziQUn3Z8IfXjFBLtn +b9oTN7Ogtpfb4epLJhxktLXyb2VBIDPbRySZCYUOGpTAbSzg9nIxqItjQuyR +WdE5URYcVNQb9IlhQrfE7PUbO1ggQZM/eCCKCRCt+WtgJwuCLHdqDIYxQSh/ +zMJUjAXC6hyB6BAmOC72zNfuZsEPk98pmoFMqCqX/agiwYJGw8eUP35MWLsy +EFYgyQIiZetsphcTiqqnfaWkWFDd5VVh7s6EzJM3w5L3suBjY4ou9y0miP42 +KRTcj+q/6/v0sxMTaruz5kKkWdAfzBt/zYEJ+rwu55b+Y8G+dHWrTbZMKIh/ +13rrAAveugsOVVszoU7e1pEoy4Jtb26Le1xE/AQmbbM6yAKFfksJyXNM+Npv +Rm49hN735ftImzETnvg/bz2lwIL3PYk2gQZMqPa16fh2mAVdQ90pcqeZcEas +bE5BkQVbHO7G92shfW3eyuccZYExt+PZcA0m3A878FjsOAv+mqfXHlNhwv5m +g+U4JRY0TG5ZHj+K9Cvgj+BXYUHEhSpmjAITnD1cFYNVWbDxYGKGuhwTfoZ6 +/VtUY8GV5QghqjQTTl89MOCmwQJZw+caCVJMSCLH9JJPsICa80ZGS5wJb5/m +zFw+yYI3ySUdjB1MiK/w3t+phfTMqlRL3sqEiHDMx1CHBZ/OFNrpiDCBe48R +sfoU8jt/sO6UIBNuC1u7qJ5mwSGn/yaS1zFhQeaw0Cc9FvQNpJ7W4WEC7XtH +q4w+C+ZHWq4xCUy4WXo6N9OABdP0khNJqwwQk3yaud2IBbu8DHtOLjHAtiav ++NlZVB8z6CBtjgGjdu+I60wQXz+MtOKmGVDx9+GhEFMWCNx+I6JOZ4B18KmE +ZTMWmJvdzyRRGJBZN7XN8xwLgnuamU/GGaDp96iEbsGCJOfwxaPDDKi3F3B3 +uMACisvb74N9DJjjDdcbusiCA1rbdR51MSB7hKVywQrVq9/3SPY3A26Pup9p +u4T6i9T/sL2ZAQ6VFI8zl1lg57rppN9PBhBO2JVV2bCgQtW3TLyWAcU7yDvV +riK/5LCn64AB+8K9U4ttkf94XhJdyhkQ0L/z2CF7Fji/143f+JUBlvZd9Jxr +LBgZ+4N9/cSA7+p53yUdWfCN9VzucgEDBPoz8l9cZ8EePcnNWC4D0uq+lG5x +Qn7nfVb69i3i6+T8SIwzC6bCerYbZDKgh8dGit+FBU28NKWplwzI8JkPeeSK +8qS5UuR5MgPczgKbfYsF27eeyT0WzwDptbWJfrdZMCkRyO6NQd/fym04f4eF +7iHnhQKiGLBQHLzztgcL2u2rB3c/ZsAueV0+micLzq8rv14VwoBHC6YbHb1Y +4Gl8NP9aIAPajHOPj3oj/a9JfeS5x4Cl1nO+1r4or3zv387xYkCejHl3tx8L +csuU6GfcGRARnGdq7s+Cr6Z6UjRXBohSbSdaAlA/Xs/cFuXEgGd6vqn6gSzY +IaH2U9aBAV9e/HWue8CCuFfrjjVfZcAIPnheK5gFS3xcV1yt0f/Dj16pDGEB +r+92nfUXGfCieDVE5RHy8zpdUp45A24JatR+CUX92eWnZWjMgOiTS5JHHrNg +3cKHSzR9BhS9OPKyIBzpcb9DPkKXAc8H/hyRjWTB3INxXFoL4eXjlJwolO/r +2wTr1RkgH7auZO9TFqQoRG91UGbAqTzX15nRLPBe3DyAHWXATh2HvN2xqD5n +S+sMeQaIH1n49eIZCzbEnE1Sl2XApTN7N22PY4G1MzW6bz8D3lfPuSfGo/5Y +ltD23sMA7Xxn5qZEFrRoUz+K7GZAWVVE6LMk9D4NpYGC7UjP+ouqQiksqCRz +cIMtDFh17hV4mory4IiyPUUY1RO5cZn/Jfq9aNf34PUMqNTk5olIY4HJk6bu +XXwMWB/+VY43A82jAOHcr9wM8Oc55B76igX5vcnK5hw6GCfdaud+jfI00iqE +sUwH2SFf05AslP8Beo/DFuhwXfQinfCWBcrxF/UkZumQ9J0v60E24qMksLqM +SUdzJd6HncMCl9qiJXMqHXSM2E7337PgRBqZSifRIYuk77OaywK53UKJj0bp +0KN//7X/BxY8l5Bi7Rqkw0ODVNpy/v/r2yr+pYcOjfbZJvcK0bziHV4x6qBD +U1zO738fWWAa7xZHaqWD4K5Xd/w+Ib/OVpD9G+kQ7B4v9+8z0nemclakng7z +hZE8fl9Y8OjS9W/vq+hgMPRoZamEBdcWc9VPVtIh0idig18pCzKig/y6S+lw +9OqLE//KWICRBu64FtNBbQ6i/MpZoFlatIfrIx32CCz//VfBgseNC9FJeXSI +MDS9f+87mn89GV/kcujwZmO95AqwwCI5M7HqNR0EGFeI/lXIH7V/Dl9Ip8Pj +1+LVq9UoX4VDHtNS6HBBUvD7/VoWFMsbJAUmID7/yvaw61gg/kvDTuQZHbSM +gwSDfrBgJsOM/PYJHT4ab7DDGlD9+vekVMIRPj3wO6SRBQ5eH3Y2P6TD8Xzq +1TXNLDD4Odhy5QEdtp3UFAhrYUEpmaMyc48OZ46Od/C2sSDejd/2oTcd4u07 +yiJ+oTwnzGhu8aDDr+ltlQLtKI+PvevLvkWHG/Zfh552oPO/33tQ2ZkOtOLP +O4W7WHBz+pJqgwMdrnVs9HnezYLVl5rYJVs6PLfvnN7ci/YX7R/BNGt0Hqc1 +YUl9LJC+Qym/d5EOCfszVXYMsOBn4bNC/nN06HzymT9tkAWCTyovpxrTQZys +9k98GOVJ1JUaGQM6FIdq82SNsGCrojOxVJcO5LSfh/aPobzibq/Q00J+8uzy +ej+O9oWApybd6nQoKnbplyOh+bkj9oWDMh2mLsRe/khG8/pi66tZRTrw+uut +Kk6wwDJP/WqQPB00GxPLvk4if0e2dQvK0qGGFByvRkP+u+7P+2I/8uOc4FOg +o/cVHp2R3kMHfy2NLB0mCy50TMcVi9FB475oz48pFuSpZk6f3E6HL8Wv/jP6 +wwIzY401LZvpoCvcn/RrBvW/Z+lvS2E67K5v2nt+DvXPel5LkgAdnAb92vrm +kZ98xZJu89KB7U1JurLAgqEtf6KXuehQkSsaSFxkgZGmp2YomwY3VTeHOP1j +gYjRi3dCyzSIPjyUxVxmAevZ5caUvzQwIvoQPVZZoOSQ90ZqhgbVfbSTSyw0 +T0UClPIZ6DmPcsV9DtoHqdUhxydpUP7Z4Tw3xgblY3fDgEgDBVmf9RFcbJjT +eKR9ZoQGbl3uYxvWsEH6zETJr34aus9ad8bzsCE26RnRspsGGgXHyTt42WDv +6vNz9DcNJD/zbc7kY0My91NHpxYaPM3ttJXmZ8OX5Ppv0z9pYFD1uilfgA2h +10R/etfSYLXtrsVRQTZopnqjVKXB61mTlW8b2DDj1sX/qJwGrZgqriXMBnUR +mZP8X2lA0Tqa9XMjGwQ/OR6M/UQDvWq9Nyab2ODm+6B9SwENZNy8a7o3s+HP +05vyL97TwH93LeHKVjacFN15SuItDZxA+TJ5Gxu+q4QKv31FA4JiV5frdjYE +i6TFy7xE/Fpn3prfwQYj/MKv/CQapN5OlwrYxYZ2m+yaw3E0aDTvXOTezYZ0 +riC3L9E00NQ6TYsSZ8O/mp5fypE0GH60tLxJkg08XzJp5aE0SBOdkXm5h418 +9bv8RDANWtoP++zdywawvXyqKoAGoQ9rxj/sY4ON4rFHOr408PDJcT0mzYb3 +Dqb+dZ40WOtJ3Pz9PzbUL2XK6N2mQWFwwMDpA+j8s2IxP2/SoDPLB2+TZcOA +aWme/nUaCEv01lgeZEOHsOODRjsaLN7KIo8dYoOcnCi/oQ3CisP7XBTYwEit +M2yyRPXcfPpo/jAbLpnanTK0oMG42hcsUJENP06MzDWaoHoSL6XxHmOD0nnF +SwaGqJ7R4IvPjiM+g8x8Gk7T4FPeYYWdymwIf3fQ8Iw2Df7wuEq/VWHD3i/l +XfUaNLjIPK4hr8aGG5HTW3VVaHAjNsm9TJ0N2XyVG2qO0uC++/NanRNsyN0g +WnlSAX2//8DxVk02XPedl/wuS4NzlOv1llqID7HTGmrSNOBSN/QiaiN9ughC +pXtokKM/pO12ig0bPUSTju6mwY5zEvL/dNlgUBfU9XE7DVgh21Uf6bHB7MXB +RrktNCD6tl4T0kf6gYjXO2Ea1O889SHVgA1py1LdUutpYGh5f9N+IzZ8Ez7P +TOelQdTgg5Sis2z4WZvybTs38l+66QkNEzZYdZM14tlUkP81jzWYsuE110Gf +DctUePz3DsnCnA21XNeuh/+lgoVpA3n0HPp+tL8A1wwVPtmvWXvrPHpudfO6 +P4MKG+v36v67wAaFrVI+8xNU2L1XISvUkg2KHikat4hUmDU5ICFyiQ1+O6rK +yMNU4CbuqEi3ZkNRyVO6TT8VhgLW+MjasCGFOdve1UUF5grdtPQKG3ztSbfP +/qYCdbpLX9eWDZYl56trm6lQrd9g127Hhoehqo1qP6nwcuFH8tVrbDB2CXv8 +qYYKgeS+KYYDG3CO3PJ/QIU0X8zh3nXUXz2SezK+UcH99qklXid03keWnM0l +VPDUfZeX4MyGpMTaZ5FFVMhNlQ+UckF+TLHq43yggglp7HaRKxvubxPovvsO +YXZVkKYbG0QSmx9Ts6iwqbznY8ttNuxJfTZlk0FF+7YU4bI7G45mneVvT6XC +qn2BG82DDUPy8/26iVRInbu36nuXDWHlvrZlz6jwWj/2Pa83G25XtqbKPaXC +Da9pr0QfNujmUSMywqkQYfzKbp8fG84uVhwUeUSFO3Y5rsX32GCxUT3s0QMq +YAy+JJ0ANiw7XIpbuEcFFrFhtP0+6t/LAuedvKkguDCtb/+ADWQb7aY+dyqU +3w1qnwlCerbM/jW4RYWHDoH3gkOQfgLCXeVOVDh7eFpr4yOUj15PneQcqLC3 +rve/zFA2rHW68vHlVSpYEzXlDz9mg6qK94f11lSwqvzvfFU4G5pP/LwccIEK +trdSUs0iUR426VXRzdD7NRI5Y1Fs6JWb7Lt0FvnpgNQjj6dskPj4MrvhDOJL +TO8/7hjk13RLaeVTVOiQXcuIi0X5cELocrYmFWTFHNr2Pkf58fvzqc1qVGCv +vdH+JQ7le4rKWPBxKjgpb/l7OoENjZ1xh6cPo/qi3ZV6E9lwvvzLscsHqbD1 +ZHCKczIb6kKfM3/+R4VbGQY7V1LY8MhJzOrYXir83vK74skL5Kd4fd9McSrs +UNgZuDuNDfuV+Q0FdyJ99A5e/ZjOBvcH5r99t1LhisV6W+1XbFh4tkWAtJEK +P1Uqgzoz2fAg4fSSsSAV1q09VXU9C/3+Q29yGR/y7/d3kv/esCFj4TtDag0V +EoyYmVHZbNCPYcw95UyCQtE27d3v2JATa1GwuDwJSREHuYreo3m2kbbTbgHh +AMVxnTw2qEm9Um+cmYTnZYfGuz+wobXHWViROQknFvdy3SxgQ7maatKLyUk4 +Pb9dm1WI8tNqzW9u0iQwekRexxah/lIur3QZmYQL7pv37P2M/DpoZtPRPwlO +O/dXfy1G+Xq6vFC1exIKjxqGGJYgPT1pxZm/J2H2R7j9yFeUZ7btrnwtkxAt +SLL3LEP5teZ6j9vPSZCWtnvIW84GjXPJ8501kzDgzFv7ooINLZqXa1UB/T+3 +f6/CdzZ4lr45/erbJJRcHX1bC2xY997Bn6dkEqo3ielZVbEh4V+0/c0iVP/r +BL6papRnMVtXWz9Mwq1YU1pILeoH4yk9xXeTIDNhxthWj/J607rTSVmTkKaT +sSH/BxtOVFgtLKej+tzUzbQbUL2SHZZXUidBs1ChuKcR6bHd6VZVwiSYRj9Q +utXMBltvgaN7n03CsWD5Aa5W1A98Hz+EPZkEKcNTGcltbLB+eaZn8vEk3Her +fXjoN/LDyo/PBg8nIcOyOLy2HeUNXUL7Q+AkvOXbXnCpkw2TCqdDBO9Nwocd +i3N/utjQE3ngrpvXJNQXnb/0uIcNzBJ8W9udSbhzQXlMrA/5wW3FVd51EtrW +vw0v7mdDoHOLZ8yNSVhTm2FqOMiGBisZuWn7SVg5oaAyPsSGt3+wROMrkzCh +Y6XtN8KGDwP6RflWkxDpKuEqPIbytnbu/vrzkyC8NqokZ5wNT8xmV26aToJ3 +c4akJokNIdLKsg2Gk8BNtsvvJqPzTHwVkNabhLzrvVZuE2xok3NIe6Q9CRcr +1kqvpSL+4+RHxzQm4cfk3OZ0GsrLT+s7T6hMwhOdLKnjDDQ/xKZ8XxxFfHB2 +nGtlsuGOQ33rovwkhLyyzbo+jfy9NbzrnCyq/77fZs4fNlDK9z0t3I/0NXbO +TppF+Tn07C//nklQyVWyUphnwxvW9w3XxSbB3HtSruEvOn96Ri8uOgnbzIMl +7RfZIKqx/9zOzZMwifEqrSyx4fQ53UAvIcTvlQe34pfRPLKctmrjn4QXtOna +g6tseIpvpfy3dhJaea9o/GCxwWUlf08Ihvje2Npty0F+88kRGlidANMU3WfL +BA70pv39oLg0AYUvmlzjuTgw2xW5HDU3AT7Lds6H1nBA8KHVEnFqAnjsNz7+ +ycOBI2ststVoE5BGG6yz5+XAULnrmjjyBPTLN+9j8XGAzEoQoY1OAPZxPDuJ +nwOBUtW/Tg5OgIzLPv0j6zkg94B4IqlnAiKtX6xvEeSAvR3jMrN9AvKvn5m5 +IcSBoq1tB3RaJ6DX+8gi10YOBFHvv0tumIDmvqu700U4MLyb3sWsnYACi67r +Kps5oLzM91kbR++rSfrVuYUD1uUNmknlE/CkN8/6zjb0PF08gF4yAXL/ifKt +386B1oHVG5qfJsD44XhXzg4OROWe447Ln4CIDKE6nV0cOKC+1ZjybgK+737T +NSLGgWY4fkblzQQ4z2TzBohzwNMuZyYqYwIMF3dai0pyADO4ZDCcOgHEj/y/ +ivdwoD5Ny1whcQIs3nhdN9vLgaVAk3UhzyYg457j7ql9HDi33vt2x5MJyLs0 +uBgpzYFg25xHe8MnoHp6fFZaBtUT13XG6+EEeF8JEKo7wIH8stnyusAJcNQv +PGsvx4ER0p+hLfcmYKXoQT7nIAciJKsLHL0m4MaV+UNp8hz4d8/y0Jc7EzD4 +VKRd9TAHji29vbzGdQLCh4cTe49wQOblS5VzNyZg10vb+95HOZB241Bdpv0E +XC17Ebr5OAeIF89ypm0mQEEoofCTEgcyHOkTGlYTUPHHYsVUhQN2j5cDoywm +wDxt2GlalQO0QtfaXpMJ6Hl7fOmpOge42xRL9xlOgHaw43u5E+h8bVqXPE5P +gNo5t4AmTQ70pIbnfteagJT8i+43tTiwb+vyO36NCVAy3x++TocDZXvCz19Q +ngDZTaP4u1McGEzf+zFTcQLdt6J2njmN/OVYVco4NAFCOw4mT+hxwMjE9LbS +AaR/WtPxx/ocuH2opiN43wTk3HBe3G+I/NApQGmSmIDJncL99UYceLVhV/aW +XROQdbN6+LoxB/Zkkzdd3TYBh8Mf8/CaciDe7pL8O5EJOB18zTjHDPG3xnXp +j+AE2Py9XKZ3jgMmRutvq6xDevr6nZ604MCbBbm44DXIT/rf/4Zf4IB7OTg0 +cCgQv+XIDxlLpJdJCVF4hQIvjHu+NVoh/zlwCVsuUOD3za+/XKzRed4lUNNn +KGAR3M0naMOBknq7O2QGBeTGlK8VXOFAqoPlG9lJCqSOUUZMbDkQs98l1J1I +gRssYuCMHQfE86M2fR2mQI3isZNx1zgwE5dnvNpHAROZcaljjoj/uxXHtboo +EKA/LdNznQOOpMKm0F8UWPC1N/dz4oCAt49gYxMFbvFpp+28yYHRkjWrgj8o +wD4Xx//dBfn5iH6SWTUFvkldTrW9xQEb9+Mj8ZUUiDnwyoj7NvLf38qOnlIK +vBm9IZl9hwPmJ3/f3VFMgYdhX0X1PThQ12pXfbmQAo/EE44wPDlwdIddRXou +BU4Kr70d48WBz0m4/ehbCijPC7Ue8UF8lLl/kcykAE9HqUm3L8qXacdi+5cU +mJznnfe7x4FfWdFXs5IoIHaJ800sgAO5GkMlxOcUOEzMeVN1nwMtkjrfpKIp +YHufp8jxAQfuFhY5X4uggJ2c+Oi6YA4YntpR9/oRBTxe/TtcEILyTcWteewB +0kPzRbb5Iw4cIqU/kPCnQOZPvhOLoRy4mJg2fMWbAm0+BksvHnOgO92a+tKd +Air7rnWdjOCA85nGjH5XClycseoiR3LgZV8/JupEgbcGR5cin3DAKTFQ6Pw1 +dB6ZfxoK0Rz4+D3757MrFGhs+JDdFYPqiTl1sNWKAnWdFkf8n3FgXlNfg/88 +BcJil0Yl4jhwcG32kq4pBbTFX36qj+dA4yajq8GGFLgdeTrHNZED/gly7hWn +KTCwhfVdJBnlXYnyoUUtpNdK7b/SFA74vrRLPKxBAbX0txevvuDAk5vJ712U +kR8uZ/XypHEgW7P1xltFCqz9WRvwIR3xpTT/a/gQBWKdhE+de4Xy+eYKadsB +Chwcizy0nMkBDXpnluk+CriNK6tnZnFgb5O7YIQEBdLVpW6decuBU9tqJKt2 +Ij7azlZNZ3PgR0/Z6NJWCiji35WT3nFAS0TPQEGEAivDAR0ncjnQ9NP6yg1B +CjhEP3lGyeNA8r/JXel8FCjf/NcjOp8DlWkjoZ3c6PsXy32OF3Kg8INCCj+H +DLWj5Izhjxw4vr3lwsllMhye8aWHfeLA9O+3373+kkHH6v4l+WLER3Xer9w/ +ZBAQWWT0fOHAlfa2JyN0MvwSob8O+sqBUDLX3KYJMpx6bhcgU8aBroFj3GfG +yXAw4apf+zcOTDyzqvQfIsNgBi3FvwLVO3pFsrCXDHMq/MN7v3NA9eVx+fEO +MuwzqtJtBQ4oJf6mbG4jg2WY6G+fKg7ovZQ4o9dIBlLbpiDJGg5s89l8zq+O +DPz85eZNtSh/GWm8eTgZJKs36XvVc6Aa8h0Hy8mwrWvPNfGfHLiUf/SW4Fcy +FPZNvWpoQPPnjtTuE5/IcHlTINfdJg6Mw01ft3wyNGt2P97dwoF7xiv+6e/I +sCrGUmho5YBfY91/rVnoe9g/lucvDkSPfAtkpSP+zH5N7W5H/jjWdF8ulQwh +guHcjR0c6HOb2GedQIarv/ape3Wh/JUl+ETEktF9pyhZoocDO/jWun+NIsN9 +wuHtzb0oX15SN5HDyPBH6H2lTz8Hdge8uCoSQgavlxJhUoOoHqX1Fpr3yZD6 +8KVH2xAH/ljLzbj4In6eSj30H0H5codxPNkT1b+z4qv0GAccVtT31bqRoSvj +lnDnOAcs72+omHYmg8eqytMgEgfUPcxWdjiSwf657KGDFA6Qzi2M69qSodRW +d65vAumZxPS4Y00GPCtmMIzKAUqBdF7qBTJwlwrRFOkciFubEFVrRoYzr5t2 +jjE4aP/dv3nKiAyHGD/do6c4kL6j6dS2M0iP20IMtT8cEEu/K3ZShwxfBl5H +Umc40PFHJN3pBOJ3Iups0hwHeG8l1seqID56W4/q/uXAV6fpxNKjyG/33U/O +LXBA7dgGoVF5MkRvCriTucQBY0niIV5ZMozazdWaLHNA1OfKwsH9ZHgoNqTB +XkE44I6jhSQZ/g6fGPjA4sAaz3UB93aR4WPZnjRrDsr/1O2qr7aR4Z1AnVYo +gYDvkXuWUSdChpyjmj8uYwT86RXbDzRBMoysYlePchFw+jUfW6F1ZKAqbFy3 +npuAx7rUlyuuIQM71a2OiDCka3y/yCFBYbF4fPkaAr51b8sN/2USeAzu9Yrj +IeC03Y6l6X9JoGDx0MllLQHX//C3sOoPCbheq7vp8BLwsxNuxiQ6Cdjrz4ft +5CPgFhQ8bu0ECUx+tH2cQ/h2xcCD/8ZJ8ON+AbNpHQHP9i4UMRgiQdOmBfU3 +/Kg+cTkjl14ShKx5lx4gQMC5QUvuSQcJls42iJxfT8A3nh/99KGVBI6a1ikH +BQn4sbHFkeYGEohN2B1Zu4GAN9v4fmbUkiBff3RoGOE2MDu4HifB6cK+F1+F +CLjSsudZ2XISnLhg5horTMDDlls3GZSQoFlN38R5I+IjzzzIqYgEr9/Xn9IW +IeANM1PPwz6QIGis0WjnJgKeUxhn+CaHBBejrG7MI+xTo5Bb9ZoEKbre8S2b +Cbg3T0nBcBoJ6sP2dmZvIeAthpusVpJJYC91fX/QVgJ+2kn5/bZ4EpRza0ZZ +bSPg2tJbMhRjSNCW+4lLUZSAbzFPUTWJJEFeTs2T9dvR84Ji/5uhJDjO5y1D +QZiyesE+NIgEnqtNvbCDgKf/uz2V4U+CKI2G1JSdBPyvzbT4N28SaNy6c9tz +FwF3Gq5d6HAnwTne+gtnxQj4wIFRD6YrCfmw2VR6N6p/WiF+rRMJHM6E2WDi +BNyvM/uS+DUSPHq4GDCAsGLg4XqlKyS4c1Sq8IsEAb8ThXebWJFgo8L6+RhJ +Ai6erPPkhgUJpteXGN7cQ8BF1HMpgSbID5Z7S05JEXDfdSRyggEJlh2sFMX3 +EvCamNGID7okmB+1rPmHMNEqpr36JAlSi/Zf79yH6meOQK8aCdb71e0s3E/A +9VqrzKaOkyDhkRIpQhp9329vOPcREkQMBoPDfwTc3HnRXvQg4mtzdr6mDAH/ +b9OBcbn/0Pfp7wp2HCDglpN5PFpSCGs9qf6LcPsF1xaL3SS4e8aC+kuWgEfW +X1Jx2k6CbdvXSH2QI+AVL6/r+28mQaJX+u3HBwl4h8oD1lMhEpRtkm6zP0TA +XZfjzr/iJ0FucKbWCXkCHnMs3uwTD/LzotCP7QoEfKfm7ZkaAgkaZ72v/kX4 +7I3Nx7pWiDCK9/L/PozOu+ixi7JABIljKg0fjhDweOV7OQszRFCgpKaGKyK/ +umzvXsskwuVtXA8cjhJwmzbNd1sniUCedfc+eYyAb0obFNtPJIIkNzNo13Hk +L/6R48eGifBtwjt9CeEDBsfndPqIcODIprZOJQKu8vi3uXknEcagVqRIGfUT +PeO8bRsRpPRinJ+qEPATqbErtxqJEK3t3eGsSsDJn5+f8q8jgtCWANPTagR8 +5VyCQjhOhI/zb0b3qBPw4GePIb6cCFFi8w85CCsGWc68KiGC0UlX1UENAr73 +4GLdhyIiXDu5cU3ZCQLumGWuUfqBCJYHKKMJmqh/Jq0u1uQQYU3n1C+Pk+i8 +rJVNra+J0C10qNNEi4A3jUh79qYRwfF1Nk1Om4D3PW6+O56M+Ou+vJlfh4Ar +U3tFGXFEMDOwMJtAeMu82tW/0UQQNorJrD2F/BVH0mNHEKGmbiPPa10C/qqw +qn1tKBFUeEf8H5xG/5ep5mwIIsI/WOax0UP6Dne2bvVHz81vZKmeIeDzuZOa +u73RedRkLET1CfgVO4b5PnciPGRpiy4gXN7RyivnivhQL53uMCDgOq2BV47c +IILDhyf9RYYE3FiUfkHZngjtETW9MUbIj15cMxo2RAgovkq7dRb1b9ZnOR1L +Itx84yhkZIzy8Spz3ZlzRDjp2KN3wISAX7+cHm5kTIR1+mVxfKaoH4y+vDPV +J4K9wIY5CsKXhiVuWpwiQhG9z7HOjIBzlbY1X9REfBmLM7LMkZ6BH39dUiWC +5/J4aMg55IdfRV42x5BeO6QV7SwI+CP96vKrCkSwiJ6e0zxPwOUe/HptJ0uE +PXGaP3dfQH7ibjpwbT8RJlx2fGQhnObw6pyDJBHEDR7lDV4k4AkymmKOu4jA +WHnwrdySgHv2JDx23EaE313CQ6lWKC+Zz587ihDBql91071LBLyLsveEoyAR +8roINlbWKP9VVCMd+Ijwt/76N+XLBPzWxSrva9xEOBh8W1bUhoCrFrzjtmeP +w18x8Y+LCBOyhxVs/43DVlO/Mz1XCPjaLDO2zfw4TB0Pmi+5SsAlef64WE+P +gy+vcnGiLQFn7XvnZ0kbh6H4N4+97Qh44GUn6fPkcXAVbnC7YE/AXZZ3e5mN +joPVzDvn49cIeJHRN/uzA+MwflTPd6sDAR9P/e/Pme5x+OL6LnUB4SsylmKn +fo/D/Uetv7odCfg2JSXaieZxIN34vuPrdQJeyvp8QeXHOGiv8/dNukHAbT9X +2CtWj0MnFx/NxwnxHaG54WDlOPwOdLpt6YzyIO+A1f7Sccjwf8WncpOAG2i5 +6oh/HodE8qcv212QP91mm7cVjEMlM8t7GeEnpnl/hd6Pw+R6b8MBVwJ+AQut +5H0zDjtbDx6tuEXAPRJu7eWkj0NVYKtCmhsBLxE7d2AhZRyU4q21Am+jfnoj +1caIHwej+h7Hq3dQfYdbRIgx46B4+Ez6SXekb53G397IcWClFNAkPQj44avX +vFtDx4GdL2TI7UnA4/7KJtYEjYPejBuQEJ4MCLUo9R+H/tg2vfq7BDyLZFP0 +wXsclu4fI+V4of1gS9aHV+7jMDuUFR/hjfp/Qft0vCuq12y3lYsPyrsbsoGP +b4yDuOC7w2d9CfiQjoHFPftxKBTX3S3vR8DVrz396WozDnIP/+3eeI+AX0sa +779iifTo/KE4h7BHgVKU6blx0F0uvtzlT8AN79zr0zIeByed6pSvAQQ891Vy +3RF95J+Sv7SU+2g/4DwwkTo1DsbzpqYBgWh/0N3ts0lzHBqF+xquPCDgy9J2 +6tyq4yBCjr2oFUTAL1sez5g9Og7RYQH/pIIJ+L/gqIwx+XF4sZJeuDaEgGOG +xhq/DozD9qgVPyrCUeddfb/vG4cnVYmWzQ8JOH6iw/SDBDrvpruGhY8I+NH0 +O/UpO8fBOSfR/HkoARfiPdIXtnUcmhS53LzCCPhjPp4Iz42Ir6JvaZaPUX8d +6Om6un4cYmJrxtTC0fyaTQBD3nHg05RQFY8g4HYjh04rcY3D5Y+d2VyRaF9z +jXHewxqDkD9EaQrCh4TeyggujUG0oXllQxTKGyWbsMXZMfA8IXUj/wkBVzj3 +9sEYcwzc913a9+wp2r/qb25pmhwD1Y/Li3ejCbjs31S9YuIY+FitG7GMIeD2 +alJb04bH4P6/8H71WAIeNPMnKLQPPccDaBLPCDjbeebxrc4xqFClbuB5TsBH +ZjfKnm8bg26fdj0qwniX5k31xjHQ+aaa0BJHwFfPO+lK1Y1B4af9i0XxBPze +J9+KdfgYbBBLvZWYgPJ335W26W9j8Do1aeleIspHEk9g15cx6Nq/N/lqEgHf +sNvm57ePY3BAQ8foVDIBL2SZFmTkjcHRicXNMilI39xW+UfZY3AvRndWMBXN +c+0aI6fMMegMOEyaRZhK3Mlj9HIMRl9U0npeoDx6U2cpnzQGfpNTPJUvCfjd +hHw9keeo3tWfx16n/X+/w3/PPxmDlVjje4/T0T59nLHQ/RjVZ/yowzUD6fNn +19fSkDG42HJLy/wVARec0hRJvT8GKtQNtUqZqN7/tPn8fcdAo/WmtdhrNJ+e +CadYe44BP/ERL3cWyi/R5Fo1N8SHqf3PSYSvvqmL3OmM9OrlSW99Q8CNdoTR +l6+NgXOYZ3jxWwI+c7Ge0ndlDKhehY9Tswl463HPgFKrMeg7V/EiKAfhSL8P +iRZjcMojvfb6OwI+JlXvfddkDHbpXuI6+x71Y6PugJnBGHyLn7VQzEV865D7 +DumOQeZ214rteUgfk2ceAifHoNS6QZnwAeVpzvG3E6pjIPtQqJGCcAhW7V5z +bAykubTutOSj+bleojddYQwExK/JFhegPPDU6PWTHQPWks9KaiEBrxpY62Gx +fwzs/z0aDf5IwK3JTm8PSY5B0Nsn/U5FaP7Lmnrw7RoDL/c4qsknAv5C533v +2NYx+BKWJqj0GeXtd9vebxvHIDA0//TuYtTf+6+5x60fA0vPn/E8X9B+gqVl +ufCOwZuYmUUGwja/l910uNBzitydzhJ0XmHnjh2sUbi+LpBV/pWACxzr/DWz +OAqEBGpGVikBP1f4342fs6OwY879YlQZ2l/o5onpzFH43Ldzr+c3Ai5sonnl +7uQoPH9A57EuR3yq9n/XJ45CtRhpVbuCgIfzC5fuHh6FnK5162QrUf9ubtGf +6x0FoXnbA5u+o/38HcvzR8coNKxl2K4g/E8k+viL1lFYZ/4RbUXIfyk3n7k1 +jILz6EfBZpyAzwU8eKRVOwpDz2YeFlcRcJOlUqHNMAp9r7yF0qrR77W4FSll +o1DC0vkYWoPuKxEGU1+LR2HxrM11t1qkx/I9rYjCURh8X3/4Yh3Ky/IguUu5 +oyDf/1DkZD0B/0jXKzzwFn2vI5lP5gcB/5Nd0bCcMQo9kes2i/wk4JlYk39j +6ihY6PcdXUHYcP3VupSEUfhqKehCaiDgs78dsp1iR0GmJ6ekpRH134Wfu5Wi +RkHZsWDb1ya0n6d6HeIJG4V/RKnoV82o/mTLrvagUfiUtX5HZAsBf65js+mV +P+K30rXcs5WASz25PenqPQqqWXoeNm3o/db+FiruSB+/zBN6v1CeJble5HEd +BRPrQInDv9H9Zaf8zK/ro/Bxw/i2ne3IbzUFki/tRuHO4197eTpQ/fY9k9cv +j8Ktp8Z60whz18efPnxxFDyDrjzo6yTgnSXtqitmo1BZwtNS04X0WQqoqzUa +hWRVPYWCboT1HlCe6o3Cm+3/vU/uIeBfL9elXdBG592Yp/SwF+UdVZW+W2MU +tKS7Bm71IT1eNrVSlBBfu3ITLPtRHu+4dqbgyCi4Gx501Bkg4O5rmRe9DiL9 +nK8ZHBpE97lVC5baf0jfXBPd7UNofjwLU+aSGgWS0+L5NcNoX7l4a91PsVFY +e8QmYBph1b75209FEb9ToaX9IwT87Us+V/NNo/Ay2Iu/fpSAp0rEs7ZuGAVR +qrxH0RgBLxsJ2TvAh56vLZt+OY7qNcZH07lHwdRjy8NwIsJfbzvUro7A4j89 +ubskAv557P1hg9kRUFC6QL9KJuD+4zwybRMjsH9YGzekoH3U85LBuaER2PRN +JE9pgoDzng5M6G4fgaGKhjypSQL+kKPHb/VzBPYuu1QLUQn4epXod/2VI7Bl +cXVqBeGZQOk71p9HYMO+kMOTNHR/sKDZDrwbgftlrIhOOsKH8+9dSh8Bzfde +SzgD3VcenK7sjRsByjFGQD4T1ZP+5L8LESOw48KNbalT6H3j5yvaA0fgjhv1 +R9g0AddN8vU1vjsCH018oj3/oPxdaLzc4DwCDj+2uNjOEHD9w1LOOldH4Oaa +nzZnZwn46J2LaRUWqB6F59dV5wg4X7PGv6MGI2D22zdUeh7NB/MPAR80RyDV +4cG3zX8J+PQ6P2mpYyMQPJbLw7WA9hGy37/kAyPgKMe5Po2wdfujWUGJEaAt +PhgeXET75MfbIiFbRuBh2WHXxiVU/3lhq7/8IzBxQFS49B8Bl3+sXn+DMALr +3ZQb3y6j+zl3o1Xf32FQyUlIjVtB+6l/9CYD+jBslz4aHLyKvhd3da5sdBiK +WkQDb7MI+H2SyL//uochX0rvmQ2bgIuy7u9NahqG8siab4Yc5L8r3l5rqoYh +qOfZsgoBw6UDf9PvlAwDuaHE9D8Mw3fUOTwezBsGU7HjlVu5MJz+nOeMXuYw +tGzYfJKHG8PzlCIOFiUOg7zQ+b45hK8u1yrteDIMu1RY4eNrMJxva/T1kOBh ++HFP2OQ3D4b/Kikro3oPw85bcbL4Wgxv4Ow6bOo6DEYbIncX8mL4dt6nzV/s +huFV05J0Oh+Ga/UMR+24OAx/NpD0nq7DcPtbE26BRsMwcsUkMIAfw2fK/b3G +tIbhxQnNJhcBDFd6fydDR2kY7n36esh6PYa/EnzBeCM3DJoDle8MBDHcorTt +Ms+eYWhesFBR3YDhHTeJ0w7bhoFQEjwqI4Th6/ty39asH4bQsDPp24XR+/KX +70tyDYNCdL7Huo0Y7vwoxzdwcQjW+BXb/EPY6U9oQj9jCDZG21+limD4uOfN +zmPj6LlWuU/fJgyXDZc5FtszBC/Na7IbNqPnKUlfqc1DwJMdyCjbguEjvBHW +2tVDMPxn5kzuVgw/tr9dIvXrEOw8KlmRug3DX6jp8c58GIIB3o2no0Qx/M+j +ig16r4fA07eO4r8dw/GDa5VeJg2BlaF2uusODG+yWnrw58kQmN546mqzE/Er +foOqEzIEfZrvzYx3YbjE4/2eiT5D8MD1xVlNMQzvfsovNuk6BOtEnGwVdiP9 +9k1QlO2HIDRXJFJSHMMH5WN/hV8cAhHzV40iEuj3oX19PUZDQDXdsmeNJIbb +zSZy7dceglIB79i/CCcdfWngqTQEATP1Wyb2YHggq6II5IbgP02BT71SGL55 +rllJYM8QVNafcWzci+G1BRmD57cNwYmbD+Ur9mG4STnfq4z1qD4jEC7Yj+Fc +qQPBk9gQJK7F1r2SxvCJCnqwwuIgzNKMRJ//h/wYtf6VD2MQir1yTjySwfDW +KxsHK8cGIT15c4D3AQz/9LDlGHfPINgMJP9yksXwRbXN+XrNgzAlo6JuLYfh +qmWlWlFVg+A89u/72YMY7iEVPddSMggplGHLk4cwXCHhRrXQh0G4dI2xTlEe +w8k7RAtMMwehv1G6fZ8C6pcvHiWxiYNQqRZfJHoY9YOlwUBb1CC8YCi9EziC +/MFw37UheBD+5m8pYSPsqF/hZ+g9CJ/MjgzMKGJ4p/rq7GOXQRj9/Hwb+SiG +3wtfE15jOwiZw6ouvccwHIZylNnnB6H3oXx303EMFyaVrlE2HATiXi9LUMLw +yaP8jDsnB4HMIzz7SRnDq23cpt4dG4S1sWuyslWQnwa/CoweGIS5+IsuqaoY +riJVprNVYhAOvhE0jFbD8LOppxINtwxC6OkD2iHqGLo/yXEH8Q8Cc+GTqbcG +hhtd14n8zBmA1G0fvG+eQL/Xs5alzA9AGXF78RVNDH/odJqyjTYA4n6EdedO +Iv2nu7+dGRmAwUOOXnpaGK4xN/zOt3MA9vkY/lPTRv4MVPiY0zAA4ZFl8Qo6 +GF4Rlfar6/sAnLL8pLfvFIaP8i+t4y4egOcCaiI7dDFcZ2TjZfn3A6DdenF+ +w2kM1xyoqL+UPgDEMMEpbj3k15+N+qFxAxA7YctZQviWnSC5IHwA/vJe+G/q +DIYTTS8k99wfANWKGSeiPjqfss81jscAVHxXruo1wPD977VO73cagGRn+cOt +hhgud+DxSSObAeDR7y+tMUL+kt9u7m4+AHsiNCzLzmI49/6Gewl6AxAacUWo +0Bj9/qbTt1L1AfjapTX8xgTlpcFP4YHDAyAgTK9NNcXwp7zf7q/uR++PvloT +a4bhbd0bMLFdAxBx801fmDmGZ40mpapvHABydwXv/XMYXqy238B67QDcvV9w +1tMCw+vnI4X8VvpBnHo/z/k8qoc/iZbwpx/uSspL2l7AcEHXnQNF5H7IrP9R +cOEihh9nTY429/dDTLChxVlLDI+N+7VCaeuHg2qw8ZQVhh/4+1qWUNcPykvS +E6qXMDxoSOGO6Ld+GLOM7DxsjeE/Fw0a5Av7QXc9re+/yxi+jlR1/PSbfpCe +M1oUt0H5o3C91DqlHyR2fZXbdgXDE+35jO9E98NGysF7G65iuOK07+LDh/3g +5lI8wmOL4eLq4cWJvv1QO2Vqw0LYP2tt6Ltb/XD4Ee/cvB3KW49apzL7flhv +MPiKYY/h8pRnVxsu9sN2pa7rpGsY7nJQ07nXCNXjtHBq0AHlmcvLUIpWP6zy +nVLrdET1f/ErnjveD5SYGv3m6xh+VCjnL0e2H4jpvndqb6D89pg/IyDZDxde +OhdWOCE/NR4u2LK1H0SXUtZ+ccbwR38O7RMX6IcPxA3e+TcxvKC4PF+a0A9v +HFtYb13Qebtz9OT/9oFdbF9auiuGN66rmT1G6wOytfKFpFvI338GC9RG+uDG +8tT+WDcMfy5R53+ysw9245hwxG3UH1KGVqca+uCNi9fGkDtoHt45oaf3vQ/s +G41l/d3Rc083Xf3PfRAy8tzmrgfSMzL3nMG7PoiUOv3ulieGb1pT7W6Q1gdi +hm4CN+5ieJHEowz9533wJXTDY1sv1N8i+KDe4z44AnI7L3lj+AX2KRndgD6Q +1Gj5cc4Hw78ujT3Scu+D54N/n5z1RXjd9Wn1630g0PH+pp4fhofIvnJSsu4D +DcK0rdY9DJc8ffWPgmkfDHk23lbzR35T8giT0e0Dl2bNpGMBGL6rNeeApGof +xB443yN/H8NzfrYObpPvg8qtQgoHAjH8ds+Xl4J7+yApxD1z7wMMb3kpe5Nr +O6qnKERWPAjD8wvYpxYE+yCKpNu6PRjDbWJYclSuPnBbqIrYHILhMl8XJAcW +e+E55Z+N0EMMN4gplWpm9MK+lDkD/kcor29vPFIx1gv5Oz6b8oSi+ZDVZpTX +3QsV1BO3CWEon69XeaY09cIh2dTsFYQfU4uzw/BeSB9vXFh4jOF1er5kjy+9 +QL3bdXU2HM3j533yV3J74bcqjDEjkP+bs0PPZPTCrpgnAdRI1C8T+ZTD8b1g +bKetQI7C8N66CvMdEb2gY0hZHX2C8kAzswEL7IUfqQHjg08xfEBUxnDSoxcY +4fxjvdGo3nV7elpu9IJXZfxSZwyaD2VWtz5d7oX5KgmZ37GIn9o0wUSzXijk +++zR8gzlyefyr76ne2F8zLSr4TmGx2PBLpfUekExhm1aH4fhNWLl/6kp9AKN +XUWujkf9cU1pese+XmiazYiDBOTHPTXf/23vhXW9Ly9VJKJ5liKb1LOhF0j9 +laplSShvVjR8i7l74bIl39GSZAxXv/HDLnapB77XB53+nILh3//En3Nh9gCB +96DHx1Q03194ntUd7wEb+Y1f819g+BsrBZPdPT1w5M+RLXkvkZ9Fki0Xmnqg +TiXpybs0DN+X4uPcgveAnq62WHY6hm/4+iI460sPFJuq/sjKwPAeid+vfHN7 +4Hfvw8jMV2ifekCqN8roAXak1I2MTAwPd309Jx7fAyWM3TZpr5Febj37Z8N7 +4A7lnuuLLMQPl6ltzf0e2CytkZDyBsPbn/VmxHn0gLSFc0/SW9QP3hpk+xs9 +4LXMo5iYjfRjGSgcvtwDZpnb3sXnID/btQSxTXtgV9Xr43HvUJ60x3Y36vZA +kV7+8LP3GL560+5womoP3EpSfxWbi+aHisAzW3nEj6uFf0wehmdrXPors7cH +zt1buR39AdV/bceVWVGEXx8LfJqP4WpR25rKBHsgf8u67CcFGM5+KKYexIX4 ++ec3EVWI4RlCSx91F7uhZG20dtRHDE8f8JDhZ3SD4qz+18giDL8RYfW2ZbQb +Up581o38hPIq12dvbFc3xGS0MSM+Y/ia78nZZo3d8C0wqzCiGOXTsXBZEegG +4/OKURFf0D5wd+Pn35+7wU48LCiiBMMJTRz12HfdYG+RERPxFcNJfrsbzqZ1 +Q/6j0NKIUgyf+6x8kf95NwSLaaxElKH6X26fqAvrBr89TRcjv2F4ifYT3yD/ +bnCLOdYaWY7yO9daQPVONxAVg69EVaD5XW+eMevQDU97P/E9qcTwZW/1o7lW +3ZAT+av5yXcM940hNtgad4ON63DuU0D7aruI7VYd9P7f46+jcQw//Cd+oVGp +Gxa/jhfHVGH4WNTRp4Fy3bCfnzgaW43y5HiF1GHJbtB+QN3/vAbDpTwXysa3 +dENX4nJYXC2Gny/KN4nj74YTXruwhDoMp5z7QNLmdIHU8rmExHo0b/MqfGfm +umBDUrZO8g8MN1t6J5Ax2QWHiaLrU38iP9xUSzMc6oKCA0VTLxrQfiZ14uDi +b/Sc4klPa0R5pehfnlnfBQ7tN7heNWH4++QKPcPyLmBoxiq+bkb7mHbz77nC +LjhzdS7wTQuGlwnftXrxpgvyrJJI2a2on9ruD2uldIHp8SCH921oHmp+tp14 +2gXJvz+z836h+8364ZGokC7oCVH6XPAb7TPtP6zlfbrglN7GkKJ25Adx1c7f +Ll1wNV3XpbgDw/nd2Gc8bbsg7nuf29dONJ9lh8s2ne+CqfyOJ9+6UP4UvN7/ +Wb8L6n4o11V2Y/jdU1tizE50wTadDaJVPRieto8zO3WkC1T2W4XW9iI9/GTM +o6S7QLFBXPBnH4afs7L5sH9XFxy/eL2wqR/t+43XsCrhLnCaPOLaNoD26Xoe +s0s86H3aUTodgyiv5de/mP3XCWyW57GeIXTfGdAciZjqhMC1c1oDwxhuHe0s +JkHshMoQQeeREQw/tGx2/ktPJ7x/3pBLHEXztqoqTL+5E8IPyfFOjmH4vHdw +0SDeCf5qqoGMcQznSbbqcvvSCWoOy0IzRDQfE0RmOe874VLfnYq/JPS+5ru8 +semd8M3ozcNlMob7RZ3ZIh7XCTbXUhw5FAw/tf7CzvzHnWDHOm+/ZhLDn/g7 +blcN6ARF8RG/dVQ0v+ZOCNXf6QQrYbUPG2gYfvNe7qqpYyd8B7d/m+jovsF3 +Z6zfqhNEWx7YbWegvA69WHnNuBNqKzxJu5kYvrP+v1i6dieEapuG7J1CeRGV +Z+Wh1Ak/F3aoHZjG8OjInO1Lsp0g09K7QeEP2p8dSG0BEp2QTIthHZvB8Nxs +mQDClk7AInR51WdRXv4+sfvhuk7gcufIas+h/Dajf1nD7oDdajUuZ+YR/0EL +2qGzHWDtnlhv/Bf1W6503ZqJDqCZBKqfX0D7Pd9p9YcDHbDUFNRivYjhvLjo +O8KvDjj5I8vPfgnND8p1vvu1HXCihX7S+R/SJ2jx8lJpByR4XZW6s4zmU9Cz +tx75HRB+eY2kzwrax+pXxuiZHVD7YkQlcBXlmQRro0NiBxSJLd4KZaH7lMnl +YwORHVC117TyCRvDp5ZHDM0edMBr6RnpeA6G3/lufL7eswNuDwznvyBw4bOS +t81UnTogP17cJAvjwqte8p7Mv4y+31oqkMfFhSs+G5YQN+uAvq0fiZ+4uXA9 +829zMbod4H1OoOfbGi68fY9dKUelA9TvtJGrebhws0Mpbm6HOuCHJ7dw01ou +vDDuv62DezrASe7D+Q5ehC93FZzZ1gGf5NpKBvi48MyHjsrFAh0gO+GhSFrH +hR9ipn/aTeiArztfNjH4uXDh23pi4fPtIEM1e/BXgAsnNu/1/TPZDm+zko3Z +67lwni+r1ReH2mGe7K3Cu4ELr6uPZ1X+bgeXhhlNYSEu3Crmk7RUfTvoOgjZ +bxfmwu+E7dR6/K0d0t93ZezZyIVrb07QpxW0wzdc/5+sCBeuFEM6aZTVDrdH +PdyObeLCXVTb9ucntYNqigXnxGYu3Fd3x8r6J+0gyb2Yd2YLF17SGlnp8j+K +yzuup++P4/lMJA1Kg2gpo0KUQkekIRqKIklGaaGh0F7SHmgp7bT3Xufd3nvv +TaJvqMzU7/7+vI97z7nv+zqv9/P1vs7dWMj0lvUVDhIUzcyZN1l345elgTo3 +d5Fg3O4r437jbjwW+FrHkJMEl5wehbrodeOPkw+tH3ORIKJamGVUoxu39Aul +P+cmwdLm8ScnFLpxsB3ecOchQdLGtUY/mW4skSP3KGA3CdrltelzYt14yT/n +T/geElTfjT92SqAb1y6zxyXwksCja0M5cBexXsn6ftZeEpxdPXJ5lpFYP9Il +X7qP0I/v7ykpBqL+sBNn6/hIcPw1P4fXShd+k5yg3clPAvzcdGRovguveAj5 +jAiQgOdruM+BsS6crlQx/EGQBPf+Wux/2tWFJ49YKnwXIvQJKEqrq+vCqtYX +2//tJ0GevxgPW2kXPj6oYrlFhASfGyOs9TK78FVG+2PsB0hg9RMXvY/rwsrX +p7bzHSQBW63B7NeQLpx8yoUueog4r9rzf076dOEKhTu7pQ+TwNjuwG8npy4s +ttn78gVREuRq90/WWXVhx5PrERpiJHhRwJSz9UEX1syso9wSJ4HZZLCx6s0u +vGYz521yhPAT44GtQepduIb5nqjtURI033gV3C3fhXkmFL64HSPBv/HXpB3S +XViR801DoAQJXIO/Xr8i2oW5YzRx1HES+OobhwXydeG2xJc9qSdIMMFTXdHG +3oX3jspQiiVJ8NO7omnL1i6scuWRRp0UCTKv85bLr3di4X2iZd0nSZAg+P61 +4/dO7OzxTG5SmgSvrbk1iz504tfBN2YXZUjAXCHz87/hTqy01B//9xQJavWb +nYU6OrG57IrTljMkKE31WbpR04mvXS5+ukuWBP/1nz0fUNSJQ5oO+Ashwn9b +0+2q0zrxqxhVkDhLArXrAWEr0Z2Yb+Ew8zk5EoxVp4cLve7EZ5yan6ufI4Hd +kXrHqy878d10UbL+eRKY2EUputt3Yrm0m8nm8sS10cpyzuNOfNxOz8T+AuGf +OF+38XuduEtIUtlHgQSoWfjHluud+MPWRfkIRRJwGHmqHL/cicckXuqlKJHg +8H9mbnpynXg5i+lVsTKhf0V4lMeJThxx1H2u4SIJovg7wtMPdOIO2jetARUS +LF5rt+3e04mH5m5MfbhEgmsOOlI/WTuxukyj94/LJNiUJDbITevEi86yGjQ1 +Yn2UQP7zlQ7sF1R7nEOdBOulHs8qRjvwG4fbJ/ZrkGDoMpVhvbYDM8tzakpe +IfzRJ6B4OqMDB8t891PQJEF66h3Vp286sE72ytw1LRLw/zzHnuvQgbcz7tc1 +ukoCi+oLbz/d78BdBr6LttdIkPj58wSvagf+6CUa9VKbBPv4Cqc1JDvw7jwW +k3AdEjz7LhjvytuBk8ROaaVeJ0EqLt6XQ+vA68z5umU3SGBQ/+3G2H/t2GOb +i3OrLgm4WdQ16APtuEMtpXrsJgmuemqSxXE7xmlH+Zf0SHBs0e6x1vt2rJvG +F82gT4KQDqUw24B2bP/YSZrtNsHXKOnnYbbtmPxZ/ZuAAQmUItrYi/TbMQdD +VP2JOyTIH3Yz6VFsx1/SjEsU75LAUHXEdlG8HZf3ljddv0eCb+VXzlA5if2H +on6a3ifB/poHpdwM7fjWA7bzjoYkONX29j/R+TY8v7ovPdCI8LOwyZBsZxuO +4uk8Fv+A8ONXjeeXi9vwb+r+gQJjEpzn7uq8HtOG3f0PhDeakMD+4f3Ruy/b +cO+nyacjpv/ngW+k6eM27NqhYfOfGQk6v9ewWOi04WshbkGbHhL6T788aX22 +DQdft2/e+YgEt5x1djwRacNhsef4RB6T4GF9VowVSxvmHBt9c8qCBG/tGScf +/WrFPsoaImqWJOhTmO80nmzF364nDd6xIsHyu2pLg8ZWfFJjJsnGmuBdC0fd +texWHBLE9Mr7CQl2rNxuUA5rxRvGh6Pe2RC83LbnmYxzK9bquVCXa0sCmKsf +EnnQitGn24wNTwm+cQ/P71RvxdQbbo9GnhH7C3Qnrku1YlJn/rel5ySYUzvI +8mFvK2558SeIYk+CJyV6wi30VvykWVedy4EEYdofFzKWWnCCx8RhMUdi/arc +Df+BFpxp4CN83okEK6Lz1ma4BUcZG57VcSbBAWstGaX3Lfh6hK2tuQsJvJk3 +pfIFtGDzhtpWV1eCb7sf1PyyacFW77XOhrmRgPMl+UXbrRa8XUysO8OdBLd3 +Xf4WrUCsr9F2rfEgzv9uJeWxWAuuPTWoPvSCBMm9BAs4WjDrWsGZJU+Cb5n/ ++LasN+Muk59KVC+Cr6TKg91zzXjyS7wljzfh13LvobC2ZixqW1V61IcE80Gj +onoFzfjNTm0+JV8SOLAfFt4b1UzMz6ZJt/yI+2nfasfdm/GjTdSLT/xJQPJM +pEWaNWPe5YPbfANIkJ2DP1/Tasa60jNf4gJJEM5UbMV8uhnf+XT8S0kQCZou +0N7VCTRjTkbhrV3BxH7jfCbPGJtxrytWmH9F8OeY68DB5SYseJgWt/Ga4Lnx +u7mh4SbMPMuwe1cICbY6Lb56Ud2Eba8X5ouFEv114cPUkdQm3CohZqYQRgIj +/Y32waAmLKX48NytcBJcQVk3HJ81Ya96BymbCKJ/xM3c+Qya8Mj7uyr+b4n5 +QCVdpVqpCdd57XdMiiT44zKXdftIE9bf1NZRGUXwwN8ve21XE34/r3d24B0J +WCncl0M2GvGswWTHUjQJdC8xeIh+bMTPOXUdN8cSeRdaoF3d3oifzfWq8MWR +wP9bZq1WYSPOjtc6KRNPzEeSBi2zUY344+/J85oJxPmyyplaejRiXiuXh2aJ +JAjdqI7/Z9aI2zZOFXskEXmkqWv9QqsRy7jv4ot+T4KAY46j20434tPbd6cU +JxN54BM9EijQiBcU1dS7U0jQJSRhwcbYiHmYSji+pJLA+W16ZND3Bnw3TH+N +mk4CdXUnve3DDVimWnnTvgwSODnz5r2sasDtu5yEZDJJsHbiXyRDSgM2U6QZ +a2UR9Wv4c9sENuCafR9aHmaTgMFO/tAn2wY8UCak6pVDgpqjwe3X9Rvw+LHW +pfhcEhQ3fiI3KjTg+BOT2ZV5xPx3s6JZQqwB79Q3DhrKJ4HeuCN/FHsDXtYy +D1opIMGWHTFbKf/qsUHdSjZzEQk0Xwa7Ppitxw7J1K8Hiwm+xjd4NbfU447J +JFWFEoJfodl7D+bV49idk60GpcS8ZFx53jOiHstkFps4lJHAZsFgdcqFuPaS +FAkvJ/KqkvG4jHE9djtlQC2oIEGD3uGNAPV6XBZxltRVSfCcfvzajFQ9lr80 +zLuISfCrM/jk8b31WNxTUndLFaFvbHGiK60e/6d9s0iomnhehD2qfbEOs9+4 +InGuhgTBC7t4OfvqcLnB3o5btYRfTh0R0S+vww/7Wrzt6khwFLWVxsfXYX0J +PcOwehL8ndHrm/Ouw8aBowYFDSTYu6huK2RZh7Vs1Ry6G4m8WdwZc+d6Hc6+ +UlG81EQCgbOcalFn6/Bkq+hOphYSHOJocusTJva/lxxwsJVYb/bmDCNzHVbW +lzik1EYC9x2f7WR/1OIHR/s/3G8n9ImRkn00VovdnMKq3TqIfnWbd4uqrcXP +uFwqYzsJfn43udSUVotZG0KHcRcJKlYPhX4PrsWDV2c4xrtJEG8QdpfreS0+ +98LEaq2H0H98d84Zg1qsHHHiK3cfCVKGhJz0lWqxiJKKn3Q/CfhC97Y5itfi +cd68izoDxHohm4i3HLX434aViO0gkS/33nwo+FeD9crf7A8ZIsH93/PZbbM1 +mNVg74WCYaJfDUZ/TbfU4InFXe69I0T+zA5XrObWYAtPz5nlUeJ/JFBtgxpR +gx+D9d0d40ReXE4s3+FSg9+QP5IlJgi/NSis8j6owb7Lc7VXJklg6/QuWVit +BjN/eppkOUXUW8bRLypZgz9bv08Onib8+orL4eieGsxb/LQld4YEHUssUcco +NbiFbWV7zywJZu0NTxz9XI2Pde2zWp4jrsvcLoh2V2P6OdqvHR8J3v7pat1f +Uo2LO9Kjjs+TYPpSafOemGrM6cl97+onEqSFJcqyeVbjgP+0VWwWiHkneE2Y +8rAah7KZaYZ+JsGZYuEXy1rV2Ajdsi/+QrxfLUBn8lQ1tig/UT+0SPDM6u27 +Zv5qfJLv75G//xH5syVfO3dLNbYKzy/f/ZUEp0vPuoV+rcKz2ibGst9IEENJ +2fd8oArHawlK3f5OglZxLfEblVU4p2ZeyHWZBFoaKZlSiVVYJRJOJKwQ+Xue ++R2bbxV2Yck1rF8l5s/cL2sLllXYkKm+eP4HCV5yJjfD9Sq8uEQ6zPiLyNec +97TXZ6uwML8FiP4m/s98NbLvCVdhn1+7bNT/EN/nxthwbHsV3r2xfsnqL1Gf +1KmL6yuAy51FL4SsEfPMLgXphhHAFSFpt0r+Ef9b+kGv/KoBH112Dh9dJ4Hy +TlcdjRTA1Qn5qxsbJKjf5ODJFghYWFjNSmATGXxqP+ztsgEsvnGNTZFEhtwa +AT4/PcCc+/u6TchkYDkY5q0gD7i3pSPfn0KGxuX3uv8OAuZOUy/OpZLB+WPh +qxxWwP9U9Mb6aWTYyqtxr/4rxhK56wJ/6WQw9QYzwUqMoy+c9t27hQzS2q7I +wQdjy097OOS3kuG+0c2RTh2M991Pq3rASAZfrp1o736Mg9i++PttIwPr04fG +D5Yr8WHvjw65TGQI4zhyPR0q8RPpJP+B7WTQZN/D9NmvEp/9LF61xkyGD8d+ +uwnqVuLQVz7s/KxkeFfpWa4jUomvZFX5KLKRYTHUp8BztQJPaA0LmO8gA++B +BvOc6gpcYzE6FryTDLFP12b6AipwUl9nSTE7GWaEFjlWb1bg+N7KonEOYr9L +N6jMByuw5+eMAQonoV8qJVPgZzlWME3iOsRFhmLfdGaJ2nKsGJbtoMFNBs5m +1gNngspx7FAP+SkPGUQ7ln/J3SrHJRac6e92k+HqO1ZHuUPl+JOXh03dHjKE +1x0oOvWrDDsFCNz9wkuGJd0/cUfqynB40B+LHfvIULpT7uy+4DK8x5AtXoaP +DEckyvy26pdhaQfLHwb8ZFixE/JeOlSG9bCAmZcAGYI1Th/v+FWKi1JEKTmC +xH4xZd4pdaX4+qfQykEhMoh/vuXrGFyKQ9xN3zIIk6Hv6JSUqn4p7mfMihAR +IcMp1n8+nIdLMR82LVc/QAZamZnn2K8SfL40meHZQTIUDHwSiaorwQytD41i +D5GhpkD0kXZwCe7wrfvadJgMDsLfdLbpl+C8qoLI76JkOP3iy2zZoRLcvk3B +lEecDIm1A6yGv4rxWKHTTfkjZOjXMxnfWleMPyeZPDY/Sgb3W7rKqUHF2HV2 ++/uQY2Q4c8VAQ/5WMTZ8bs0AEmTQ1z+2OniwGHP7xtt/Ok7446S7xIOfRVjq +aALPDkkytG7fxvi9pgjrFTuOnZYig2Wq43ObwCKcaXmq2vAkGQzvBDqv3izC +sl+mmgKlyTDEscrz6EARFvz8fKVUhgyygrdVZlYL8TH/7efmTpHh3At3pivV +hThwMiGX+QwZ/lbvNCjzL8Qsny4oyMiSYbKvWn6vbiFmu/xn7R4i9LtxtshB +uBBTnzX3B5wlg4WVbFH/cgF2nKroKZUj6gHz8wehAMu+HlueO0eGa08dbzz1 +LcB6z49KscqTwVZ731/QKcAdeVVRpy8Q/feeJEgRKsA71UKFHyiQYc/h3h65 +b/nYWaWk95UiGVIunN/yvCIf6ygfTcRKZEjv/Ved7pWPWZno4Z+VyfD6TM7G +0NV83N16LnuXChmELLZWbuLPx7ekFhfOXyLq+VywJvBfHm68vF358WUyMBXo +l54tzcMc6lnNkaqEPop5q9ov8jAP68CjJjUyaJTpZhhfycOcugEnf6gTfkwn +Tz7hzcNa5yYFBa6Q4bvYVV/7hVycK9l9XF2T4Mvi72yHwlwcud/8gYMWGX5w +vr30zDUXF/GV4tSrZCi7NqX3SDUXjylVyQxeI0PgvPWMPncufvvZe4iqQ4Zy +z38jFz/k4Pf8+yIlrpPBz4Vf4UhuDn64y8vV4AYZDgZ672NxzMHG19p9A3QJ +PzCOGi8o5+DAc79KK26SYbS+fB9mz8Ga+sxMX/TIoM3Wfd5/KpuYj3a7ceuT +Qb0DurQzsvHNDeE9yrcJv94SbeJ5lo3L1GRGbA3I8CS5TGRYPhsrJd6sSLpD +hpfbmJeCWbLxAd+Qmr67ZLj94/UJ3+IsvKP32yLlPhm2dO27+lEtC//79uT0 +cUOi/59QZaQ+ZmK+msNZd43IcHLSY8rOMRMbvNuj8OoBGUzos0oF7JlY5fCV +TTXGxPvqbpvPpGdg24nuye8mZHjOf/oSTT4DT8a9n+U3I0Pl3oLpPSPp+IX4 +8DZNc6Ke8i1iBy3TsU6x5XW3h2S4uGhz6NCWdOw39Kw57xEZiuDk4L6YNBxV +80t/9jFRr6L3UUapNJw4/pOL3ZIMTjaJxxfaUjGlyenXBSsyKBjUjFfcS8VX +usP/2lgT/cyzW/TF3xT8XkBVIPkJGZJDPuw+H5yCu7sSHw3ZkGFhSSdtRSQF +N/mnTG59Sob5g8l9ETgZQ88dm9PPyNCpuTn8xLVkbCU7dOThc4IXt9O/1355 +j6N2crDE2BF8vls/oeT2Hruv8u/stieDjp6nXhXXe9w8QT9DcST8LbPXWCw7 +CZcptHtLOhF5sl6+EaCQhJnvOP574EyGA1H+vB9GE3HWLv43b13IwM5SVX3E +KhFn7q7SaHclA5eY86dHWxIxf+h9iU3uZMBzPwLioxMw6eIumeMeZBDhVctr +OZGAddYm7hu9IPgTkqM+3xKPX5k3FkZ4kqHtmML93wbxeOrU0OH2l8R5YYn/ +1n/G4T1od+Mmb2L9bPT8L784LNcb/vKED5EnhlkaHwXicFTDjYfGvmS48Ntj +f3NJLM4ae/Asyo8M/mcV7sWqxeJmo9aULn+Ch/Wsm83nYrAbT8AGNZAMjwW3 +MIvaxeAtLCXPZYLIYPxRxWaKJQYHNWvxPAomw9kPX5/svByNxZaMp+JfkSHk +mU6+6tN3+L8OUtvga0KPC/Q4i/go/NFaeJwphPD7qoS0Q3skbv84tfN8KBnW +19isLX6/xb9fy1g8DSP8X9t/SVXwLb7ucWo5I5wMc5VZFTvUInD67y8RMxFk +UBxvgapn4ficqc4DrkgywDVtdZ2EMHw/xFNXLYoMh3faGw60h+LLZ92sPd6R +wb7a4J/s7xBcQ9PKK4smQxePGHOAQAhu4aFwfo8hw3Q8JaTh8htclRAZJxJH +hoYWmu+87Wtc6LVfUz+eDMfiNT9/i32F3xmnHQhJIPRV3Zw50xKMI/sl9rcl +ksGjErVXrAbhQJ8mJcp7MuS/Y1Nw3huE5e/aBJ1KJoOXXyjzIeVA7LjpPINV +Chn0uuqU7ef8Mdfnk29SU4nzOLSdweqkH1atMFCfTiPD3lZhSRkfH+xtX3+U +O4MMSdlik11jXliIyUL6SibBfwOZ79JHXmJOJRMj7ywy/IzRu23p+gKzZZaV +VWeTQWrLe167XndsE/1Q8m/O//nAx6e13w0rNvgOSOQRPGDr0v1n64LV4/ZG +m+UT81KUhcdisBPOsj3il1hAhlD51FfOJ+zxKrkpdryQDHTHM815A0/x4fbv +o7uKyeCZyMbq+ewJ7rEplNUoIcNU2hb1P9yW+O9H3gbvUiJvur+NcT81x2NW +x21qy8iQs3wjzbnEEE/+Y7i0Xk7w3TQrS2VFH7vP+SudrCRDMx/c32l9BV8z +/WBqiYl82lx5y6xJArPLsxWmAxkOfSmQquKTQ+nJPMIfq4j+u6rHEc1+DV1h +2EYwjJjXZMtvfm0zQLIOXxxu1hLzWNzz5e6gByiBr/FuaB3R/763nG2vPUI+ +5e8fd9eTYZe5FPcSkxVKb36dwNRI1PvobgzZwgbtvBG+odREhivxSqbPep+h +vq3Yxb2ZyDeHF6/UTzqgmGvMh6CFDJLq02Hyqs5owuL137+tZLCCG1lBDK7o +ZZX2slQ7wZM4r3DmPDck9eEOm3UH4ceszruV9z1QzX3Qye4k6lkI4X7H6Yki +jJ/Vf+kig5uiYnNmy0vUrheqe6CH4NdDDaevjt4onEuI07CXyPP9BxXuHvNF +EjGH1uL6yOBic/EQ/YMf6iYX0Cf7ifnxn/ip0fAA9GVbi8yeQTJ88xaT+5YU +iARmbN/cGCLyIz6dxuQShDhK6naFDZNBmaZjLacbjPaYVVT1jRD+XH0a6H/i +FYquNn61Y4yoj++GwQrza6T0o8dXY5zgrYvSouXCaxRUTMsMmCD8r/9KZmvd +G7SSx/izbZIMf3R81UqjQ1DpzkWjbdME76I9j7k9D0XtB/MZVGbIIJAx8une +1TCUWWha5TVLzHeCU3b6R8KRrcWe1MY5Mog9XP7PkjECfTrVU0r/SAZB1sfK +0R8i0PljocsK82T48qswaLbqLbolYK314hMZTlQcbD8XFYkMSyzH6hYIP1GP +UEufRqEc3nf+1C9kYOYRO3NR6x1Ks2V4cGGR8J+Nv/2yeDQamY4z9viPmIdz +xmeHqTFoW3vgq7olwj9vX79ptIpBqft65qjfyFByK7aneioGeVo+ua3wncjL +Wtm4JrVYFKnhTPZcJr4/+j1lrCIWcThvtDesEP3IyLm+digO6f33t3rzD4IX +Om1BByLiUNS884TyTzKo7qXV3Nkcj0q/hwr6/CLmVUHSm2SbeLSdSyW49TcZ +8u6QGP/OxiNyeqLI9r9kyJRQFrmhmYAYp7I/qq0R57PB9bWuKgFd+2vbEfSP +mL+dS+7LHklEfCcpkz3rZKgtNveteZeIjnEbcHEwUGDTuIPRVaYkJKoUZqez +iQL2t4/9WbZLQqZ8+bS3JAp0fupVjF5IQhe34NIxMgX2uWdral9/jzLyakL3 +USngcoOVb3fje2R+sjXqLo0CG0PyeYuSyUh8bLo1iU6Bq53hTK2JyWhg9w6h +hc0UKBe/LVG0MwXtum2YJLqVAv+OfhLOcktBQzMf1C0YKcBs6Plf3vcUdGRb +jGDBNgq89ff3rjNIRT0ckXy/mSiQW6m5MdOZiviC5xTPMFMgQkZUnflsGtK5 ++iLUhYUCgumWzopZaSiL4s1Sz0qBuVX7V7686Ygx+0/u1h0UQEeTfMf90hFX +z7Sj2k4K6H9QfnTmXzryqL1k/ZqdAv51tbIpZhmotOz8qyEOClj0Wa/zjWag +Jo/uEV5OCrDpluS8V8lEY80k1XtcFMijL+vKlGWivJmJTyncFBApdmMYPpiF +XPSss5Z4iHrftse9iMhC7dtb3p3YQzzPu1tgHzUbzZv8V2THS4F3kjtsyWey +0cs3n/5U7SXq42ZQW7TORjeFGow281EAM4emj6Vno3NyQeuq/BT4s+gb1Dub +jeJea+I3AhRYPRW60bU7B/Hc5EwdFaSAIp/Zrz6tHOTXsVApsJ8Czi+qHSZ9 +c1Dktb5/JsKEnnMaQd9qc5DryRnDXBEK8N7vPr7lXw6qz+f98/sABUI/rhkL +n8hFnjtfFckdokDjtPexS+a5SPSKSrTXYQp8d5MMtE3MRXEnruR0iVLgwbtS +95SxXHR9LHeRS5wCmsXdrNPseUi7z1brzhEK/F2XkeZTzUMps2lzqUcpkH42 +e83wRR76tHYjdvkYBZh2fNXLq8xDzecCPE8fpwA9pvgW7Wce2jKqGeZxggLc +1Y0Mt8XzUSV/fk+7JAUSWCYvgFE+en2hTJrzJHEeVZXiwjH56Ge2VbOBNAVs +yoXg9WA+OvZm3iNNhgLCb/p/bWYtQDVPhcxWT1Fga+SrETflAqSnfsIBnaGA +V9VeE6prAbIZ4C/xkqXA3WTZJL/SApQR8XtvLyL0ScsP2r1cgHomanN45Sjw +skNBLPdQIVJ1CHhofI4C9+pLHVTvFaIDd+5dyz9PAcOf/S7fIgvRRpKa8YY8 +Bfa73Tn9tq8QiUjefH9RgQLih4WyVLYXoXfer1lCFClw+dHHEZJiEdruREmc +UqLAsJtlLTgVoasDRfdEL1LgiUKgiUdxEdI+UKL2TIUCVxQZO9W/FSFe0Z2G +dZeIfh3N/MF/sBjxufa8Z1WlgMovhcm/d4rRL1Uy+y01CgSrxviPvC1GsTWZ +GanqFGg995Jc3VuMJkSmLH5qEPWttp7NYipB8RxJBvKaFDgreUYpXqEERb3Y +7BCkRQFfl2Sed04l6JXFztrxqxQAgYny6OIShOp7JQ9rE/6j54omfytB7Ceu +9j3ToYB19/dHRQdL0cWU2OiG6xTIWbLyaLtbinjSa9+w61KAz2rz44XIUqST +21x09yYFFkXdj27vL0XxYZXUXD0KnEooaznJXIbSk9KdGPQpsFfA/ayJUhk6 +cjpGSO024b+YvKA4lzKUcT7hZ5QBBX537KuaKi1DZbZ1q1/uUOCwUHyn8EoZ +Wjfcvu/0PQp8amKrthYtR5lCPjY+9wl9I5VCGw3LUcVLxd/DhkQ/nuG9IhBT +jgx/qiYffEABNeaHK+5D5WjVIsPtuTEFBAR2OC+yVaD23Ic+zSZEfyt++nHz +UgVa3IjC3GYEX9jbbvR4VKDqOsV9puYUKOp/m6GOK9ATL9uMsocUiPOX+Nb7 +qwKFjZw02vaY4CmLlfDtY5VoR3boZT0LClwcl77y3bQS7SyIvp1pSdQr+8DK +J7ESeezRi9mwIvx7eML30EQl8qwe2abxhAI/njnHdHNipMQinBRnQ/RTjFi2 +8xWMpI1VzFZsKSA721pxwhejxBgtfYVnFHBTRS3f6jCqSVF1CntOgeYEk+H8 +DYyuT8u3LtgR/X4iwgbvBjTAIa9wxoEC3pZVpGRpQL/26ywGOFJA8vU7ttfX +AK2O+lZNO1EgwFHovZsVIMbX/1WfcCH4bnuxyiYQkOb7l99euhL8ESfdMc8A +ND5kdHnUjejPDDlvo2ZAiZvD+sU9KOCpty5z/yOgBh0hP7cXRF7sEntiSKlC +oU94LAY8ifPd0iBtyleF0hs8XQ95UYCjFXtZyVah2n1Pqpy8KcCoyWzopFuF +Dgl+Fe31ocC39fQO/6dVqMaK2ijiRwGhgMCG2DdViDMNAhz8KeDOn6tanFuF +aJxiHt0BFDh3Yathd0cVshu9kSwcRPTrRND2r1+qEP/JK7/tg4k8QueUWbdW +o3f++552vyLOn4t9l6RwNRKb7xYUeUPknQfl2S35asQm92TDIYQCLQyMj70N +qpFI047NvaGEfqYC/0ocq9Hj9VLZg+EUmGJW5lt8W42OedjGO0cQfIqwHRMo +qUavdl2VHHhLgducacdu9Vej0D0GP0WjCP9tneSLXK5GNmnvP7i/o0D0xR3p +Yyw1yBofp4xGU0CG91w3v1gNijVkV5eIpcCsqMkbU5Ua5Pr9arN3HAXuB3n9 +KHpQg+7Pk6yIfxVQxO9+0F/UoAaRAxdlEol8eZMcohtfg5IGe9WCkyhQeDtp +IBdq0No0m/vCe8JfHaGlTOM16KTP0odzKRTgWrU/a/a3Bjmk2T59m0qBHu1r +Ju2ctUhKpfjkShqRJ8OC0scla5FZc4Xw5QzCT52fMqI0a9FLl9cXkjIpwLqU +1LTVohYdf60cvJFF1H/zlp+dfy1ysfzEdD2HAi/i2f4spdUigSMuxbm5FCgr +qGd50FSL+Cv3BG/Lp8DKD4fumQ+1SNmuJcKwgPDv4dNn71LqUObN0G4opECb +F1X3A18dIp3wl+YpJniXMi5gjuqQ/4/yjiclBL9DWt/+vFmH/M4fedNZSuQh +9NZ4PK9D/+JWvQ6VU8CO8i9yV1gdyrvFlfmigtA/Q0Uko6AO/QlK3jRdSYFD +jxoMFXrqEEtwtvsZoMCee7bXZ77WIbuhM1LhVUQ+7bu7yX17PSrK1+NaraZA +VUiwvsjhehTLuOeQRi0F7hze/qRTuR4VMHmZZdQR+ZM1fs7eqB5VlmaObWmg +AM8dpuZDHvWoH711NGykgMdiPONEXD1aeaarVtNEgWTD9M0hUI9OLq2p7Wuh +gMmNo9Xq4/Xot6Gvs0Mr0Y+FZ6SZ1+oR98FdU8NtFFAaH33YxdWAfuWnWpzs +IPSL5r4XKtWA5kM0j4V0UmDsNJnb4GoD+vNnr8BKFwV23YkPErNqQOVnd8tf +6SF4Iry5dSOwAcncvPYmu5c4H17U3JvZgERahzmY+ylge+aaX0ZrAxJlK240 +H6DA2n+6HN4LDWiw9k9q6yAF+ln1DU02NyJdluyKQ8PEfPnfQ0fV/Y3Ic2aO +wWeE4P/Zt/qS8o0oITLFemGUAg/FVrby32lEh7Zs5ro4TuTTTW8XVudGFCzO +/F/KBAUqBx7WUt41IlmP1uUtU8R8yJXX+7eMeD768kGTaSKvuY3zfgw1osnO +6KDmGSJPTsYbrP5sRHZmnQcOzRHz5iXryZ/sTcgmf/G7zwci78KXjqxLNCHf +HMril4/E/DgqorX5ShP6l8TPqfqJAgryx1U4Hjcha+Vr1lkLRJ6Y7d8l4t+E +bj9N38T6hQKx5jtLzqQ3IYGsY2C5SORj+45j2s1NqDr6Z1bvf0Teucu4Wc83 +ofAP9C7JrxSwokVnvKE1ozetFgLh3wh/HNfJLRVsRnK+59///U7Md8YOwTPn +mlEbn/fNWyvEeZjvV2MxaEbXojXPV61S4KeX6aezTs0oojpDV/An4Rfr+3ee +RDWjUzVJiZ6/CH9fFS3LKGtGicqX+D7/JubzodGVT0PNaE42vV31LwWW2P1Z +Dv5qRrcu9mbkrhHzY5gu80OOFhT0X3clxzoFDjy6/b3geAsa+VWwyW6DAtk7 +iks3abagpEc+NhMMVFi1czTWsGhB1VG398iTqLCLrXMjIaAF0XzkfySTqVBR +1eS4ltGC+AvkN22nUmHr9MuP2q0t6H3VI1krGhV+KR46VbTQgviMejIG6VQY +Pd/xnHtLK3rA46Amu4UKipGv3rsIt6JrFvYCCVupsD8gtPrLhVY0Uzh+YOs2 +Klzu+tOqe68VqSnl3nnMRIWoqLGGdtdWlHec2t6/nQoXIm/nX4htRQd5P5ie +YaEC+7eEV4BbkU3xndMJrFSoOtdqiMZbUcugF2LcQYUjqb/EqtdaUQqXyRPL +ncT98kuLSjxtSHWYZXyInQonAz7H9Ui3ocQnfs/kdlGhMOOX+h2dNrRNflEx +hZMKewTCfq3YtKFlHaTMyk2FxYf/Rfi8aUNGbcEOz3ioUPR2n/T+/DZ0esfq +7NRuKvzg0+qt7W5DXCnWThd5Cf3+ZZobfWtDf533Xc7bS4W5FG3adpZ2tE2C +rrqbjwo2PE+ii8XaEeNFKVcPfiro1onJGF1uR0XZlZ/+E6BCRkj6AJdZOzId +T3fXEaLCMmXXs07vdhS1wKxZvZ8Km9dC9vqkENfRP7QOi1DhzYerrcqN7cib ++7F3yAEq3Ch2cN72sR31J3ovMxyiQsDAyTM91A5kva4VaHqY0P9ILvmdYAca +zB+73S9KhcAj7H1m5zuQJjp+X06cChx1frnoTgcyKDOMSj9ChREdpSgOlw70 +0dR9C+cxKmzpswj5Ft2BrtAjU9wkqLCeLRXdWUlcy5Y7LB2ngvFgQ3HeWAdS +vLzioStJhYul6rMRax2o+a5mdYMUFYSTnVlrmDoRye/jsePSVBh7QSmT2dOJ +rgvBQIwMFR78UHmUf7gTDc9/yWY6TehxdEnsyOlOJMJsX/n8DBWay178yVDp +RBZZ9gzzslSQuJrWLarbiXSD122unqUC6/pqUZZJJ5rIZuavkSP039hIlXje +iZh3wqaj56nQNXEnvcSrE4UJ7eWIlqeC0v3icrnwTvR2TkafSYEKnTERoy3J +nWhsWmDMTpEK1In4bTrFnegA73zAghIVrHMeXv7Q0Ik+DYXaXr9IBfHPb6Jt +BjpRaYfc60YVKuQn5ZO3fOxES5yrc1KXqfDsjOHzqB/E/cEqs/eqhJ8uKVCO +07qQd3+hyC51Ktwv/hrbyt6FzBdmuDw1qBCSsEnLSKgLuZJ0zv68QgWx5+w8 +lBNd6FIif6SRFrH/fOPPOPkuJB+tKTp4lQqWE8UL57W6UJrsn2UlbSr0vXFd ++XCXeP6X0NcSHSoMudWw+1p1oYtyH/gO3aCChymXmoRbF9qzU8UrUpcKFDX+ +2NHgLkRevLt/ux4VfJ/Yb3sZ14Xaxc/+drpFhalH9UEncrvQc6ulTd/1qeDP +HH10rqoLbaG5nr1nQAW6eeKXkK4utKOcVtB/hwq9s09rLk51IaNxP33le1Qw +4y0pZPjWhdpOCp8tv0+8n4HWUMzQjX6lTF8TN6JCbenGiiVLNzpj3REf94AK +EbUKcuL7ulH58fX9HCZUUB+2S18U70YCZMdJL1MqPF1DUpmoGxmf1O/8Z0YF +L9vj04/VutEjUu4Pi4dUMBj+k3FCvxtpg4fmh0dUsFg7/nbtYTcK/bLw4YYF +Fer/uKfWOXYjI+lv2R2WVDgr6zca6N+NftQm58hbE+dv+fXorXfd6Nl7vk8l +T6iwz1cjTTSzG72gmWmL2xL+a9ZU3qjoRmMJoWsJT6lQlx2xraetG9EsCwa5 +n1MhflvzavJYNzrR2/s50I4K/331oLosdiMeCZok3YEKZLA8rfuPqMfzRpGD +IxXUeE+8lWLqQdSwyUcrTlRg+G3Bz7GnB+lJp+qbulCB2a+9+8fhHvTrU/2L +aVeCr9e/pg+d7kEnchXmrrtTYUHEIafyUg/SsZex6/KgQjorz1TizR7kuj1P +SdmT6G+Lx6cDzHqQ5iC+XPWSCkeXBGqf2/egNWVLb2lvon670acPfHsQ35Xh +9RwfQj9tOV2dyB60mr857aAfFRKpf0wvpvcgUXumgHh/KiRoZ6bJlveghujf +qbsDqTBhQuM50dqDLguNr78JogIpKbVUdLQH2c43ezO/ooJc6XkfkS/E+3I7 +Vb1eE/yIf+4ntNaD9n5jUCGHEDxI+1UluK0XDb00dXIIpcJzI6MD+3f3oi5D +vi8/wwh/5j+uPXC4F+3KlgiyjKCCHlS+Ej/di8Iv5z1cfEvwibQWKnWJuH8t +2/1BFBWkZXu65G72omHW0z0z74j6XizJqZr1Ih8Doxv6MVTgllqbv2nfi15c +OM89Ekv47U9Cg7lvL1Lyn2TTjqeCd92bcefIXqS3X12+J4EKpZPPxULSe9Ee +m/hMtSQqpIwwFGeU9yJR288are8JXr3qtWto7UUqbNJiyilUeCwd/3xmtBel +7I06X59KBWcF7oJNi73oxIpI8Pl0Il9cPx7i/9eLfBsWuaoyiH6nlUzIM/Uh +Jsl/w7JZhD+kz3QZ7+lDAT1GfeXZhD9b+TcFifYh4yLZLadyiTyo5nxceqYP +Ncq9tinJo4KgVTvvh8t9SLP96Z6TBVS4arfMtPNWH/pOW/9XWEjkTauUrPzD +PnRl9wlOyWIqBCerZNs49hH/t+JmBSWEP6Mn7qX59yGDpfXfx8sI/wUn3Jx+ +14der+RX5ZdToThDJYwnqw+5L9ypOV5JhWGbF5zauA+d3sW9kY+pwFtBG3/d +0Ycex3+2PlFFhY0Yx0+9E31oRXdBsLCaCnZhMad2fe1D7arCzFK1hD8M9/bp +MvSj9z55EsV1hN/2ZBbGsfQjo7zYYOkGgncHGKY+7+tH6+ukw2WNVJiWbdKS +OtqPlPZ82jjdTAUdkwo2D7l+JHDccDtuocJ3ShBPn0Y/Uv7qoy3XRoUvVb8e +Cd/pR/UVpiM17UTex6Sw2Fv2o0kBzgiFTipwfddZ73btR/eb4l41dRHziUG5 +9OFX/ci3ZE/jpR4iz+a8ajzj+1HH1Qipzl6C7222kXN5/Uhm6NC0Zj+V+H85 +XXehth9tL5tuGBgg8iUkQDa5tx+9Nu2e1x2iwt9C4S1Mc/3on8e2C5PDhB9z +yoWsV/tRyJb40XujBO9taW/GqAModuh91qcxKsirVmgrcwygDJpY5cMJQp/W +8IdF+wcQ/qaweWWSCvYzWsPCUgNIMpXq/2yaCnl9799GKA6gV2CntjFDBW2Z +S3nMOgMIxMsvecxRwXXjL5/ngwG0p3LQg/EjFURMLeYZng2g5/yzf4LmiefZ +jegOXgOoZuFrGucCFfi/hDr9DR9A3Aqs4dGfqfBIGmvYpw6gX23a1fsXCb6G +hDlulBLva+wXzvyPyJufEzSPlgE0fz226cRXwl+JGp+3jQ6gZ0NN7yu+UcHq +fOrh0C8D6DPpbvWFZSrMNCW1CPwbQAcvOHG1rxD55EFpymUaRB+eHs249oMK +3wRchOR5B1EJzddh4icVYmOHpwbEBtHeLXHeD34TeafVsW6OBlHRjRe93/5Q +QeP7Hgea+iAa4buka7dGhWMuHnqxtwfRPWbqXuo6FRTu1sXIWgwiR/26vQEb +RB5diVIcdxlEZozRelybaBBwv+2Kc/AgkkxLHIwn0eDZZo4awfhBFEz9EihG +oYHNppPhLXmD6Jydx4sSKg1Kn6z0WdcOosBd7iXydBpkjW17vq9vEJ21WzvQ +uZkGXMznX7TPDaKQhwyDultp0H/6+l/HH4Po5qaEmo+MNMheYh0+Sh9Cxhu/ +v1gx0cCH+YjAx11DKFycQ4uBmQbPR2wG3okMIVsext++LDR4u5zyU0d6CN0V ++DLCxUaDv6p+7uwXh4jprG0taQcNws7OOfbeGEKbgqt0j7PT4Jy9zcc3pkPo +d9boryoOGshtp+Hr9kOoMvdorxonDVJuXaft8xtCSxq9i2NcNOCUkKycjxpC +7NMDF8x4aLAn787HvMwh5C2sPvpnNw3+3Ex0dcHE/l7qOV68NCjbVheo0TmE +ZKMWazn30YCD7MUmODWEdC5I70rmo0H0QPHm39+GUN2sUrKUAA3EnHdbd5KG +0XUv8acNgjTYomN/NXXHMKKf2uSpvZ8G3GyxGS8Eh5GzdVfvR2EaaNdoOtw/ +MYykH+QbPD1Ag4ERvToFhWGUZ1UhuuUQDUSPeb04qD2M1I5sko44TIN/P6Kr +WB4Mo8QHr9wOidEgvMzM9vfTYRS47yVThTgN0q1Kk2e9htGa4nK/6lEa5Fto +XeuOGEYajvMTk8doQDKiuVSnDaM9Eg4iVsdpYGgUeaCgfBjZW9RmUyUJPRam +1VPbhlGacvfTMCka4Oqkn7Hjw4htusz5kDQNPokU8EYuDaMXha8bK2VocLF4 +pD6MYQTJtlioXzlNg/cm819DWUeQ4D9Dzg9naPDhbUpUOP8IMgx7ue85osFm +lv/aoiRGUMO9zw+2y9Eg84O7a4L8CFJ8GP8t7hwN9JLOlGdcHUGhLXWlUvI0 +OCQ1b1diOIJEug1rWy/Q4MBHreoG2xG0VBSx/Y4i4VdDrcDBlyNI+65N+E8l +GnyuK/rwOXwErbluv+93kQZFrur1m9JG0N5KWwuBSzQQt/0qzl0+gua86itL +LtOgcdZY8ETbCEqTY7msrkaDe48DEq6Mj6Csbw92f1SnwbTI8RzLpRE0pf7h +sOMVGvQ4HFJ5wzCKegYjHdm1iPfLK1uVso6iMa9Y1oyrNBguNzg4zT+KOFm2 +fJDXpsEtL2WLbcdHkWjP/N9RHRqoZvcpSV8g7rtc1Xxygwa8SSM5D66NorCn +974w3SS+X+5oRoTRKPr36mBDkh4N5nD6qY6no+hyecUM0qfB/TrBWzTvUcTB +eOzc0G0aNN17zH727ShafxM1bXmHBiGsRnfs00eRgyp73bZ7NAhMnrxQVjGK +vG0zPyXdp8FXqwJYax9Fe1ic1OWMaNDMV9lzdnIUhR95+3vkAQ1sm3qcPL+N +ouRxrjkbE+L6a0ddJ2kMHXJj3sFmRoNJF9+k3TvHEMOuYLcMcxosds3wmwqN +IdWcQknlRzTojc4+VS45hvpjXh2ee0z0G3f7N2alMcTlL3vfxZIGud27FAyv +jyEjjdbJPdZE/U3G0thkDOkqakaXPqGBvHlMK7f9GMq9+ilG25bgQ3AYwzO/ +McS7OWFu5Slx3168f+jdGDIQDDcPfk4D+sA51TPZY2giZfzkEXsa/FedbRxf +NYb2p3grtjvQQKZe+8C2njHUcC4v3MyJ0K+bw992dgyhf+bijC40iLzcFja3 +OoY+5nVtTnWlQQRV9+I1+jhavLQspOxOnL9kTHwT5ziy0Fh4Me9B7OfvkIgO +jqPgjpZDLz1poCHUq158ahyJDWXuFPEi9nP1SJK4PI4ETFPkGr0J/0ZZvc+5 +NY5y/LpyH/j+n5/OWscejyM6RfbBFn8a8HEGZha4jKO+w9Q7qQE0uBboXnjq +1Tj6zXQmRiWIBuQNOfPahHF0IWWNfzGYBoIv03vUCseRz9MbC/6vaSBVnbww +1jCOXJfMfhwJoUFhLk/ew6FxZPnuomJPKA1M+xZESZ/HUUfs1rEn4TTQ2bGm +G7Y2jtr21hRxvqVBX+0J2aPbJ5DGovdAWSQNEsod+1r3TiAeqWen9d/R4LFU +Jb/p0QnUPJ3wgRRDg23zI/u3nZ9Au2UF+5NiafDqB57O0ppAbHe3M6rEE/r8 +uaJ9zXAC3Wh87rGUQIPXGw4eG7YTqGyb84XXSYRe7gcfpnlNIK70EyrSyYRf +XM+x3Xg7gW5eyA0ZTyH8qJ9tyZgxgVZ2MIm4p9Fg/eetQFw5gWwv620cyKCB +c6y0mU3nBLKMLN3dmUnwnf8w/cj0BJqrOuVsk00DxlL+O1+WJ1DTxV8H9uTS +YIORivtIk+jHJJ27No8GBQUfMwoZJ5FCvIu6aQENjhw4sh62cxJNcjq0sRXR +YPbx1Wz7PZOo6zNrUGkxoUd/e63B/kn0/ZL22zulNJAd3XFaSXwSvb99/8vW +chpMoUiOIycnkaazpnteBQ3OrE9occlNopJp6bs3MQ2qL2v/JF+cRPnXxL2o +VTTYF/d8fenKJNI3ufQjs5oGOanVJmO6k2ggKTlVp5YGdteST7fem0R7RW8m +keoJ/doSrMvNJxFkOX5KbyDywubojkybSSSwW8Rau4kGYz8aOGOdJpHa58cK +pBaCb+LTHm9eTqL6/Me3M1oJ/p/5c8MnaBLFdKBqnXYafHT0DnONmERTCT9M +KZ0Eb/yZkF38JDLXzNDL7qKB5/l11Sfpk+hMgV3ozR4a8f8x0Pi4YBLpcNhx +bemjgbIke4Z55SQKsK2eKegn8uHmsTXThknE8tr0x51Bol9/pRaadk4i7o9+ +GizDhD48f0fNhibRFpdzqxUjNJDkiH70aHoSLVLipkzHiOef7Hhk9XkS3Xap +5eCeoMEQvW/k6cokOkWued04SYP2kduFTv8mUbhLoa7tNA1SZY9veNKm0Au7 +ItP9szQ4Wd5aGMQ8hRyzx2v75mhwSSB5LJJzClmeuWDk8ZHglZO8dQrfFNIL +J2ue+EQD/7377IoOTqH/dku8nFsgeBRU8r1eYgqtRX2hhXyhwYmEgJGB01NI +WFa5Q+E/GvAb8UkuXJhCssx3pn4u0eD2gf9I66rEqSuon0n5RoMvjk/O7dCZ +Qg2Lh2duLNPAVUZq9YDBFLr0h7Vn2yoNRB7l8ZwzmUKDXbuY8A9C/ycmhbpW +Uyjsmk6QxS8aXJkbrbOxn0Knor7oC/4h+jfM5+Irjykk+fC/pwN/aWCW9lM+ +x38K7dCyHfX+R+jvGFfQGTqF/ijEeMtuELzJYYr6FjOFwjvd3L4z0OHLgbK/ +O1Kn0OKRUw1JJDposIh2S+VNIbuEiau6FDqktM3t0yufQlLLPuIsNDoYMD+Y +d6ubQtxzOlp1dDq8aZQ8kN4+heo1DGqfb6HDJ9G+mb6BKZR6u9LpCCMdjIrq +OTdNTaH5u94vPmyjAzd/QKPoAlF/wsRg5HY60B/nLusuT6HmlwM2mix06P+Q +H+GzNoUU+n1vb2WjA5mZp7KcOo2afbhCqnbQ4Xip8a2l7dOori101zN2OnD+ +FbIX4JxG+xH/3JFddBg52LfrOt80+vq5e32ekw48H9eOBh6cRufv196L5aZD +LLtAS6PENPJvYNl1YzcdmifaZkhnptEj3M2+g5cOrnlu9rIK08g2QMigdS8d +apRa3tipTSOlHP7fHnx0kHp76EipzjQqjJ4bQwJ0yPl86NIfg2nkOviS+Y8g +HbbUay6cMp1GsqrC/vn76ZD96yCjk/U0Ykgauf5IhA4Zb6WzahymUeMyWB48 +SIeD2zYPbPGcRumj3wbnDtGh6Ruvm0bgNDI19vKNFaVDw0l6fkT4NELUeD89 +cTqEcVw0mYubRnqR10e5jtLh5laLpKPp06jDqPFp/zE67BykGjsVTCOD5q13 +Xx2ng7x/cG575TTaqn/qrbokHTpdY932Nk6jMRYbvu0n6fBCu2LUomsajQ/1 +r7ZI00Fm+XFl3fA0kim15fQ+RYc+T8UDPLPT6PbLJ15KZwh9glr3WC5Oo5WV +BSU6ooNEn09k849pdIW2cq3+LB30b7MmCTLMoLMS6Xke5+gg7PdJxnnLDKKt +iOtfkKdD+nqM7hjbDBqgRVynKtBhPbZ28+ndM8h3gRZfp0gHi8ypc5FCM+iu +W/CpF8p0UE7x2LouNoO+PtYRUFQh/HVL9rbByRl0dN36xubLdLg0Hy5fLzeD +du+jTDWp0oEjfX/xYZUZNMXJX+SjTge3G1Zlr7VmUL3n59HLV+ig+N92tXW9 +GeQZZ3eFRYsOebkvrYyNZlDB56VdPVfpsCHz+ED/4xkkOHtXNESbDj7GVy3k +n88gca6V4OvX6aBu2qiS7zaDwqUqlPboEu+vuF4i5DeDEveMqk7dpAOzcERp +WMgMmj1tnph4iw7eFdzqTDEzyOWT7yWT23RYnDN77pYyg45x6ciL36FDqjq/ +zN/cGaTm99l35S4dtv9rDbAuJ+pZuru/9D4dTp/csFuqm0HTf8ZZnI0IvaNV +Nkw7ZtCK79NLCsZ0uLD7AvfC4Azabqw6tM2UDiXzjm3G0zPofKlDUY8ZHWr9 +fbk+f55BCYICHyMeEn6Y27RhvjqDom/efHDnMR24dlo5fl+fQSyKCqcOWtLh +yGvrsKebZwl/ret/tyL8dfjtZQa2WTRnH9df+oQOnit277x4ZpHIWbVoN1s6 +nNVK99kpNIui2vhLLz2jgz2tmj1WbBaVZMgIc9jRwWyn5hnxk7NoJSH/w4Q9 +HSwHV0lYbha5cGb+SnEkrjfJGamrzKIzrfJ61s50+OvTYjKjNYsSOkN2Ilei +v5sOb396axYJSFbzbnUn6r++prH9wSzyVJ616/Mg+kOiWzLJYhZRynkOx3rS +4ck7hQpkN4sin7wQN/eig9qx73PD7rNoi/G5F9I+RL+OmefY+s+ixVcPj9D8 +6DA5eWUfRxjxPYdFxHr86XC0XUaiMJa4L+LvFBNIB/MAvKCdNov61bDgw2A6 +nLxlp/g3fxbdlBnac/o1HbKaN1+MqZxFYrv+mmwNocO2YtKyQuMssuA5v20o +lPh+A8r5pa5ZRDXt3JQcToeKKyky4SOz6ChUqdi+pcPqQ79h+TlCL78TCwpR +dLi2dEng+3+ziCHi4hhHNOF3A3f22F+zqOXVPqGPMcT7UztzNEhzaGywr6oo +jg6PNnX8Im+bQ7WdXnkvE+gw+Hv35yL2OdR5XvfP9STi/J/peJnvnUPe7sYh +h5LpoFW5t1fwwBwyN+n1/JdC8OQWa+vYsTnEpF3a3pFGB6TQahF2eg7lVJwy +jcsg+F+8VKelMIcu3rPVe5JF+F2Lp4lNfQ5JNvomKuXQIZNxya77+hyRj5Hn +d+fRweYw48Sru3MoPLxW6ms+wZMbLMvXzOdQnON+19pCOrCGRBfz2M4h+eRJ +/vBiOuyTvHFk2nkOsc3v4H5YSofHC1M3Ur2J+4sTRufLiXzAgyetX8+hN3Bv +G1cl4T/OqWb0jvie4Gr6EqaDdn4UK1PyHOJl4LpRV0UHgcwcptGcOcR10Ysc +WUOHrU8Bp5cR6/8co1jVEd87ZS7iVDeHsq9I3rzYQP8fBdcdj9X7hl/73Uta +khKlRKmUiu5DSUalga8QiVQiJCNKRUlktykkIhmZEe60jYQyGiTZe29+5/fn +8znPva77uq7znn9eVJp3dM+hihYIiMxkyHwWw8G7KstW17fA88Ry/mQJyRf9 ++2mU5ha4IxPrVFUmhksdlSbru1sgZ/ag/PMvpB6jHsxkjrbA+VuULb5fxTCs +xCc/lNIK9xhlUeZVYrhPL2STI70Vrh+pMdvyjZy34sQpg3mtsESUcOHViOGo +TcqRDUtbYbftmn9dtaQfXGDT5su3wmWb7OQP9eT7r0bp/JRyK8TeF/kS81MM +/8bkPP67vRVuOqvuufhbDMuOH/Av1WoFP2MnSZNGsj7l6Ybs/a2w2OKrtkqT +GLoXmEbGmrSC7JRbOa9ZDF+rS38MOd4KEu/9k3v/ke+fa/czLtu3wunglS2l +rWJ4Z8TFytmtFXa+dHRLbCffF4fMvtlcaQV5d//jfp2k3t5O0kwDWmHz1vBE +m24xzPk0JXTwdivMpKfq7Ool963LeKv7uBU+naDsWtEvhjZB37W1ElthsD3h +nuCgGDapi4VrZLTCxnWftP8OkXy32vsUClpB3NrnQPGIGJqfNvSGj60Q4TCd +FTtG+q1s+XKNylYw2XX4vM+EGOa+sbq162crdDSlBFtPiWF83btinZZWuHZb +UWT3jBgGHYstNuhrhRuZQ99XzZHv3+ykWyYTrZDUsEKQLkDFiQe3ZK2F2uCh +3h//bkEqGitP+Tmy2mCvob59hTAVNwrG5V5a0Aa5528mvxSlosGUak7Q8jaY +XlGofYdKxUlHO99oBTI+mwYX6FSMXdyzLFOlDYLkQ8OOMqnoKOF46zO0wRlr +N82dbCp2t8WX/NFpA1Odxn3yXCoWXthVP3GoDWoiu3NYfCqGS0+/mne0Dd7U +Fl8cEqdiyq0r9son20DizLXoegkqtrbeGN7vTPbz3ngZLqDi37QP+x292oBX +Yz4Tv4iK6+v7vMOutwHlYv6WIEkq/nn16lp2SBtc3hFRcV6Kitq8H8d+PWiD +81uZ782lqegrKiYh/LQN8rS0F+5eTkV1pbHHiqlt8Krs1GelFVTcevWYkMmr +NiiIuFu3QI6Kl2xn4PrbNqiij2gJrKJibvJVo6zyNvicFs/rkqeie2Cidmtt +G4yWfd3+fQ0VA5LWzFv0tw0efb/7rmgtFT0lil7v7W6Dza7LkpOUqOisu0zT +d7QNtC8HD95eT8V5StSnryntsNWfdu/KBirOiiu3jtLbwbb1ZaT9JipmvTIU +3SjRDpO+6ZQjm6lorq8s6iTdDj7Bq9/tVqXie2vv1rTV7fAyjGjbuI2KIWLT +CYMb2+FCkuTp5WpUvJx0XG/zjnYoEf+jz9lBRR+lc5Wee9qBU/oyeAao2Py3 +bdvbg+1gWfhqQ7cGFb1ueN9gmrcDjbd488+dJN7643nGtu2QXDtxv0SLihfL +uNVxTu3gxbh0NE+bigPiNyqHPNtBhVXuk6RDxfZYqZxd19uh7CST/lCPitPW +ob53Q8j+jlgNBOyl4t3cJ9u6H7TDxtLhrRf3UzHdQeKH5tN22B7U0exwgIrr +PiYcf5jaDr1U2z7LQ1T879ySupFX7fAqPtzskCEVZx6oqB581w7XGm8r7Dam +4lx1lm/al3boyg8322pCxRh5y0JufTuET2X0rTWlYqnEeItzczvExkmRP+RJ +/G9pTNf0tMO3z6NqEhZUpA1TBNXH2+ETzXaMdozc7/KpsTjBDnjxOGLenBUV +354YaWCzOsBvPD5i2JqKQr5ZORcWdEDT33dunSeoeOelgE/78g4wSpUo/HOS +5OujaI3/1nZAznm0rT1NRQsHk+HPmzugY1OPy5czVLTOH3qortEBKV+KW947 +UPHl7S1bM/Q6gJZ+Mq/AkYoZfj1la4w6oHK+2FCWMxWNQhqM4yzJ++rvg1Nc +qHh15bcf0nYd8O5waUiCKxV/qt0zijrfAS0dxGi0O8n3bSOlSy53wA27ffjg +AhVXC2Rvf3SzAx7GSPZFeFHRpPtp/PLbHVAw8vVq8CUqUqpCWAmPO8DkwR3P +m5epeEJgp5NSUgcsLYmov3aVihc0/atyMjvgjtFw5BVfKs7/vX7DzqIO2CHR +8P7idSr2BouFfv3cARjicfjCDZJPd372WXzrgNzY/j1uN8n8iZ77Bxo6QKjF +7olLIBW/T2en+XZ0gNyRedbOQVQs0jSft3iYxKuAH+AYQvL12Q7P9NkOcLcP +WXg2jIpuvxRadWmdcC4/m+kQQcUl1FHDVvFOWDaTYmt/h6xX7VDqs7QTPgbE +rra/R/L/5EntFas7AfPyDto/oKKWfVbJu42d8EBGptk+koqvxVYbndzRCUuM +BH46PKJiScOdTpZOJ6xe77PNMZqKOpLVN7IOdUIBfhVwjqWipfVLZYujnTDP +eZ6ySxwVI//SWumnOuFKgfsn13gqbtiZGp97rhMWnlr1yeMZ6X8v3V1OXuoE +i7+66y8mUXHHHzWDxf6d4JLPEriSTO5/tmrbl/BOiEh9sO1aChU57/kqvo86 +YSRK8rd/GhXz7b+BWmInnLV63R70kophmf2moxmd8Pp4gnlEJrm/RuLmy8JO +EP0hqvYgm9RnxqNSx8+dkPle1Dc6l/Qf73/LlL91gphBlUpCHhXH5vfcHGro +BP5o+IGU11RUqwqn53Z0Qs60W21WIRWjwzKjLw13gp9o4scCpOKCQoV92nOd +8GTTIZkPxVR8p1Ujzqd3wef5sW1f3lGx7HHoYMO8LvA49mZB3QcqVpRs73oh +3QXt1N8vmz5RcfxAxuylNV1gr7b8VVcJyT+tWsWDKl1wpPzVmtEyKiaDn8cq +ogsExqrEBCqoKHn6yd9Z3S5Y0X3PgFlJxfhzzNN1hl1wKV5VZGE1FbPvPuFm +WnbBD4UGOdnvVCyO0q0NteuCh4ezX66vpWLnj+ZCJ9cuyBrpea5eT8UXigc/ +HbrSBTsi03l6P6m4WMhjeEtgF4haKP377zcV5Y3Vdi292wUiK0JX2DZSUSb9 +cq5obBc8+iT29XwTFbfIKxwcSO4C2ofCDt9mKlZaLOc35HRBnPk/x4gWKm4K +1pkoK+4CieNPbeLaSD573KQWlndBnvG6T5kdVKw+V0qk13XBRce0e++7qHj9 ++HBsfHMX3HtvVFvTQ0WXop51j3q7wObcft/2PlJPQdHtdye6YMOVz48nB6i4 +ym60PFy4Gwjm4GrWMBVP+dT/CeV0g9KFcZllo1RcemeTTNjibvjrTw/YOE7F +oJHBsAi5bkgtMLLSnqSiVABl0/313XBeg5loOk3F25U6otHbuyHDxcTCcZaK +eXX59MTd3dD+7sy1axQantPZpZl5oBtEVF0lHwrSsNW88sUbs27YNPlkebow +Des7DuyrtO0GgU65ex9FafjrcJZss3M3JOxU8G6g0nDTky7lsYvd4Fz5t2aE +TsMauxZXln83yNAuPmaxaGjwJ3xYLqIbtlBW18txaJhU1v6ceNwNy5Lm++7g +0fBreE2UeVI3FJx2jTYWp+H8DQalXlndMBrlpuQkQUP6Th2VR9gNv77rKgUs +oCFzIuvXm9JuCN+9LPrpIhoOLg8obqvphgfz5H1RkoZy8oVtnL/dcNou/MdP +KbI/Ca2923q64a5U2JMxaRoq3Zo/fGK8G/4VGzaKy9CQ8XX179tCPaCXyA5a +L0tDeONK+8jugYSsntS9K2no+3vEY3JRD1RnyGrZydNQYFf0uvVyPbDX/99e +/zU0/JZ2VuHk+h54GX+0JGEtDaV8jzrEbu+B8PG3eR+UaCicbzvRsLsH+Ext +6db1NIwcuV4udZDMp7BoXGQjDU+75XYdNe+BIeMzWitVaLhRduJw7EkyPziL +aW+hIfvKbnr7uR4QPGK+4+RWGjrmP2Ku9+6B4rWWnf7baTgWTTG/cLMHnhkl +M5LVafjgqd30h9tk/IRL7BegYXJjY5dETA/wDnSnDGjQ8C736Frb5B5g+Wop +S+wi6z1sK8zLIednZKzeupuGa/0vxXHf9oC+7cl75ntoaBki13DySw+s2X/v +4lVdGn6m/Tnztr4HrPa61ifo0/DCWPqBZS090Jytkly+j4bVYtG3vPt7QG4B +fXTIgIb3glOXN031wOeDq3IWH6Jhd1ArW0usF7Y3YZ+GIQ0TU/WMnvN7QfMF +PfqUMQ3LdVvHxZf2wi2BrZ9CTWjoZ1k4dml1L7irXD6ZZ0rDl49/Here1Asd +lHlXms1p6GSjyzYjeuH0k9V8liUNL+Xz5L/o9cLLRSOSW6zIev+px2oak8/h ++aNj1jR8E1d38ZVVL5jevfIg8AQ5f05f/gaHXkhYlszJPUnDNsNg8xSPXlj3 +0XK2+TQNFcfeHV97rReWnPx2gmtPQ+6HRxXJIb3wKF9NR/0sDWUjFWLXRfbC +l80VT0870TBDxPNXZkIvsOGN171zNOzQivJWy+gF7b97vnw4T8OGfU8CPxT2 +wiufyAcjbiS+JY+ED5X0wpmggSbZCzQcF49tb/reC84fLsUd9qLhPk3ceq6p +F+4Pefz1vUTqbwlrQrSnF7rcFkdmXaahpmzUqqjxXoD1dypbr9JQI+zaBxXh +PthnLuuz8BoNeUa/ar5y+sBrdipN14/U58JcEwfJPrireNj0oj/JV7X1BuxV +fRCQdPxqWgANixvM8tM29EH7MauV/26RfKg1ijTc0QcL5/y0F4bQcGnOluFp +nT6YeM5o1Q+jofbXRe/iDfvgh66c4NUIGvLXLmQdOtYHVzRZkTl3aDgbtu+r +gH0fpEhNZfTco2FpUD07w70PlCNW6co+pGHw8ZrPJ3z7YNlIyVHTKBpWSBwX +lArpA9cwqcGwxzRMOf3o1feHfXDB9T/h0hgaPupI6A9J6INrjzNvC8XRML/u +8bN9GX0QBKfj1eJpKE8k/GUX9UGyTcZm12ekX/Q2Pq4s6QOji592pyXRsNDx +TNOdmj4oFvlX05lMwwJJx2dH//ZBy/cdbXKp5FmUMyrf2wefHvLdj6XTMJPr +UDoy0QdcygP/qAyyf4f6iL+C/SC+n73kRxbpB10C/qXUfhDdk7RuQS7pnwve +FWex+8F54bN3h/NomDOQoRkzrx8KFmn+DHtNwyM/bGhBi/uhTCbjXGUhDY/e +d1jgtawfcjU2B3Hf0HDFkeP2div7IUhaVMHgLcnPlHqG2dp+2C9xVDfkPenX +gbZDezf0Q5O5R/fXj+Q8h57Iaqj2g5ROOI9fQvrhxxXRKjvI88m2V4fKaNgr +fvmEwi6yP/2XLbe/0LCvdL+7jG4/VHQr3a77SsMzHWtqFhv0w9qlDz5JVpP1 +KxIvzzMi473XXbb4TsOfe2zcOWb94Nul8PpJLQ3Tb44WMKz6QVG8zKu9nsRf +eewA7WQ/xB/UL1b8RfJpl4AK1aEfBIY6As810DBoU6ot1aUf1r9t+vXqD+k/ +vx920i70w3EJp5eUZhpW+loVMi/3w4Tld9aeFhqm/XrUzL3eDz5i+n3BbaT/ +CvQcmR/YD8ca+cZ1HTS08OqQlQrrh7xNJ7WWd9Nwq4aypty9fjjyzT/vdC8N +D2Ucy1B61A83zmRlZ/aT+olZ6LE1rh8Sdq/ZNjdIQ7fdw+FaSf2gHbtSS3eE +9Jt94cKH0vqBsbmj9vYYyd+qiNJj2f1wvT1tsGmC3J/RvQ6n1/1wMOD1baVp +GtZ+U7fwKe6HK1z9N56zNHROl1O886kf9h58dP4zhY6Hi/sPJX3ph7r9Qy8X +CNFRcC/xrehbPxQH3PQ4IULHM7TslJofJP5pTz5nidFRTXq4ufdPPwy9834i +Qqdj8cooF2obWe/KUTEjJh1/rj18bEVPP8QuvzwSz6YjK/V1Egz1w+SKlQ7j +XDr+F3XhgPlEP5w5EeKkK05Hf9MNRl5z/ZDuRqFESdAx7s2NV5EiA/DSO2dR +/wI6rpRc4VXIGABjHC3cuZiOcqsSHjXxBkB/aK7v7hI6JkvmLxddOABJwfNe +dC+lo1WsiOjapQNgEu46qrGcjmk/FPUPyQ7A10sny+6uoGO/6c9hzzUD0D2l +sK5Xjo42G7Ip8esHIGNQSFpLno4zTSccKzcPQD5rY2TkGjo22NzZNas2APM+ +T8UPr6WjyIbei2t3DoC4agzsXUdHzQ0Lpcx0BmBOyvZEvDIdxUsKZW7tH4CY +v8GSlE108ns/MLjIcADml1lYHNlMx1XZitZDpgNgiYs3ZKnS0X3j3hh5qwHI +0xaO4G6nY23kXW2LkwPw8YrltTPqdJTJf2V812EAPHRcRD8DHUUrLau+ugzA +d3efBSs16bgjalsuw3MAjNSrc3120bHIbIS258oAyGg962zaTcfcj/Dpmt8A +rM7UfkHo0JE37/PQu1sDUCc9RonWo+P5UeKWSMQAPHgx1TK3l47cGOPb2g8G +ILPzgZmlAR0vvy9gBkQPQChP0ubNQfIcLjtcET8A3t7FczKGJN6v1fXnvxiA +iZM1a68Z0/GvY77E0YwBkAh51N1mQsfgYwYHEl4NwJ9flqBnRkej4tS5gaIB +2LHVWi71KB0Xat9avuPDAJS39z0SP0bHNrmonICyAfCcp5fsfpyOlosiin9U +DcBNp4K9DTZ09DNftVOhnsRndZDPrpN0TH/J3HaxcQDOV4jse36ajkvNJxO+ +tgyA/S+7F3x7OsasTLgl1z0AQUq02Atn6ZhtXtLlOTgAx0rl1jY70dH4u+Tb +6vEBoAbR9fVd6JjfcWie4hxZfy9FMNuVjt8uKPzxExmEq2cM9i3zoOPTAdNV +/xiDcGTtLuUATzq6qT/u1OAPQoK37PPRiyS/alPXxCwcBFWm2mury3R8+2ZP +u4D0IGxb9c264iodu3zlZK3lBsEzYctTtWvk/FsEGz8qkPGMtItJfuR8rg8X +KW4YhKTIG70Lb9Ix80zKt3DVQWjeyhz3CyT1WDHOnd4xSPrRtQdjQWS+RtUK +G61BuLULamxDSXztFLmVeoMQE3vteV04HZ3Lbn9TPzgIvQVxi3Xv0FG/W1kq ++b9BUIhoW/H6Hh3PaRR3SloMgmnqg49KD+mo81Vsxy0bsv4JumhsFLk/pXcL +KGcGYbuET6NENOkPl1+5uzgPgnPmgcM3Y+lo7pF0rNN9EJYYvrWeiyP3YXGk ++pj3ILhskOOdT6DjIcatLz+uDYK2xzuTrkQ6qrSIHjYMHIT76/p2WCXTsaMt +0LoybBCqJYewPoXUV9w/yv77g/AFlv45kE5Hqtq31V8eD8Ljo0WRJRl0/G0j +82df/CAE35Ad25lNR4ezd2Qrkweh5k1kX0EuHU9uHR87nDEIVQpu11Xzyf1s +55r+eEXOs13odUYBHek+CfuO4SAoyYaErEM6Rub4VXd8GIQCMQfh5GI6vpPw +7DxXPgjP9nYvWP2ejlXO+hFz1YNgkG1aGv+RjkfhY2Xgj0HYHc2Ulish+XE1 +54lk0yCMFOwXjyujo+efDnpy2yBEBZx/tqKC1PNtBeqO3kFwon9teFJJxx9e +upGVw4OwtjA1W/YbHXvoEp9OTA3CFN12fXwNHUcNjgTOCAxBgqu2vnw9HQ9Q +OjtuU4dAdO8T+vOfdPSyiWhaxxkC1ZwyO6UGOv6zW+NSKjEEk/nzHV/+IfX+ ++GLsySVDwE+vXrClmY4Say3txVYMwYYjxsdft9Ax9Ffc94TVQxCUP3xQs52O +iUukf+msH4JTxnOtnzpJ/KZjr/RsHoJYw1Jpgx46Ll4r8jFMfQgOeyfP1PaR +fjm3+MXWXUPgHTF22XKQxM8hb9Nf3SFInCeQ1DFMx0sSeUcDDwzB+mdSHufG +SPw2DSio/jcEQp2xvTMT5DyZW6Jajg5B89MWuv80HdctO5ERYUPeH9n+Zd4c +HTe9MDyrdWYIxr9MqcYIMHDf5j+VY85DAPM99ZSEGThB/Pn53GMIKtW5oq9F +Gdg4sT7o2OUhWLGcf0qXxkCLLSkdC/2GINmn1qWewUAlr019lbeGoH0sZ/Up +NgOvD0c/DowYAht9+o0JLgOl3Cun9jwcgjbZVSE3xRnoHhAnLBY7BJKBNppL +5jNwk9VE3odnQ/Bf0tLHKQvJ+j9SpW+kDkGIW1K8hiQDD/s+26iXPQR3da1M +vksxkB/1boxTMATxlx/lnFrGQDt+65mat0MwVJ/7ZlaGgZyrfeGPSobAQYfh +HiHHwGn1d/YnK4fgmFrfjzXyZH/ae6Y21g1BnFhR55s1DPx3yFJdoHEI8p2+ +J5goMvBB6cCmry1DUJMfyB9cx8DAsr9/o7uHIHgcFAI2MPCt/OI954aGgP1M +d1BWhYF1tt422pNDEHaeerJoCwP1Sia3SwkMw+V13wOPbGOgkNb5smGxYXj7 +mHlsVI08+9Ut+MIeBrfvjJYwYGDoKFs6UWIYPl9RWrRek4FXs4Sary0Zho+T +VTPluxi4+nGstfWKYXjtaRh+RpuBgjp1cbvWDEPBpnk/GLoMLBMNi1upPEx+ +v5ypeq7PQHZbgTVddRiKlhR46e9nYHWWbmvfjmGgZh6v7znAwIK5VWtqtYbB +bB22Bx9mYARrtzLqD0Otw/rnG4wZmNJxezrpEPncfd7yGhMGWh+l3bp7ZBgC +DpbqXjBjYMB4WPO1Y8Pw4U2WvLQFAx+LrhRwPTkMD59tzH93jIFd97Jbbc8O +Q/aVp4J21gzsvr71tqnrMIxX2M3xbBnYcyqOdeDiMCyza09/dYqB72N6DPb4 +DsPYMq/FVmcYOO8w01IjYBiiJm5sZZxlYNzZ8e1qYWT/O504WU4MNEtMalG9 +PwxDTXciLVwYKOG95OiW6GGIZZk30d0YaLptT/yWhGHy+2NlQ7YHA2175Iu2 +pgzDvznD8ONeDNzgmpeonjUMNt/3C/C8yfjLEyd2vh4GV0F3+aIrDGy72jym ++3YYuCEbaA6+DOx862p+uGQYVLqan0j5MXDS+OU9i8phmJg3MF7uT+Ipeyfp +TN0wWCUUUb0DGdjRIBPh2TgMhh6Z1euDGfiBecQosHUYjv9SOdIcysDFtB2D +j3qGoeZtYuSdCHKflKqTGcPDIL7Y7aHuXQa2DyzK/zxF1vMTNp67z8DT2Ys7 +mwRHoEnoVUVmJAM3TtSPTtFGoEt0WsTuMakX9aN/F/BGoMNGZXJ5LAPTGlJe +qCwcgU+15cn1ceR93jcTQ+kRmDFUXBqWQNZvrmlzXTkCz7+83qeXROpF7c1/ +DxRHQKqxZYfICwY6NEW9KNo0AvbavL6iVAYquri3tW4fgXazRAvPl6R+nc3F +uDtHgCG0MHRLFllP9Qh7u+4InF3/yWc4h4GZwhdnbA+MwFM7WdWXeQysHPz2 +/c5/I5BufC/FsYCBRRTnex8tRqDxQHDbOmTgLNdm9+SJEXg76dLcV0zyrbXo +j5LDCGjIZMemvWfgstW3T9qcHwFD1SI5508MrD853hDlNQJzvJkzm0oZeH7h +7K46nxHQ1/ntPlbOwD0R+Q/nBYzAnoPlOvlfGWgkrf3vYNgIrLbd/se7mvSP +9hzp8PskfqZ31LRqGKgvunL/9+gRKOPpWzDqGbjTK+ncomcjMGBUtqfqJwMX +bbcIskgdAfNj1yfuN5D8k7aITsgegeUmnU5WTQz8M/w+aaBgBMZtT75U+MfA +dNe0FPX3JB7STvkjrYz//1/hi4CyEUgzOX8LOxg4JHMj4Wf1CJz61yof2E32 +45nxSPHnCCjStwT918dAscaG8Ct/R2C9Ql2B3CDpj58UbtR2jIBKgFru0DAD +B+Jee60bGIEF+rUXi8dI/fzKdPYfHwGzPElO2CTJ9y+qdi1zI2DAvHjGaoaB +FyvtbXeKjUKNoOOdjRQmfthy4eQT9ihkbzx5S0SIiZEG186KzB+FMb2fB+pE +mNhlk3PxlNQoHBff8e85lYknirZGVMiOgk65iNZlBhMl4zdnblk7CkU/n7kY +spkoYFnfELNxFAxCo84p8JhI37xPgr19FBa5HNEUnMfEN87F/3lpjsI3aeOm ++vlM3GtjndStMwpBX+kHXi5iYrnlcYbFgVFoDeoJDVjCxNUFfV7V/42CwrBb +nI00E+1/bqPoWo5Cc6SMPyHDxMoVbneKbUfhZe8JYokcE1tE6wj1s6NgLltY +Mr6KifqCYZQ811GIvBMrX7OGiWZRP2pUL43CvcygI5mKTPS2b3/36toosKan +LcPXM/H+vKFStVujcEv6lNq5jUzcrL2x503EKMwm7es5tJmJyz79Xa0TOQoX +s1a7qGxlos0ZNZ+qJ6Pw5Llr5QI1Jh6R8po0fz4Kd0NeikztYCK/riGk6+Uo +TAwf4TVqMBFSYrU980ZB1aJn+O0uJqaXiC5jFY9Cw7X2tERtJtqd1ZOM+TwK +IhYlWiG6ZD9j6du2VI7Czk/8TLe9TPxd5+VdUTcKLT3EtIUBE1cl9HWe+jMK +d+K+LdU5xMTnvP2XRNtHYWPoviUbjZiY0fpn29O+UfgetG5EyoSJLyW6l+8e +G4XT6yYSaWZMPJmSu6ljdhSuCStuHz3KRMa/YJcg0TGoRv3E5mNM5DFf/1Vh +j8Hy6p/DldZMpDy9cblRYgz+KJsvfWPLxKsGmvsDpMbgqMLhlemnmfirfrPB +VrkxCHm7ixVrz8SBzVm+HWvJ588zqsMdmZh/ndX7cNMYPJiSu3D9HBMvzwu9 +ZaA2BrXNywQuuDLR1jTMWmzXGDTarTnl4MFEXyEbF9Qbg37PTy+PezFRsdW8 +0PPQGIgWX20w8WZiG6t651bTMej90thtcJWJVXmSohNWY7A9zrZhzzUmCluG +iOafHoPmc7EZGjdI/j29udvbeQzSqxfabw9gYtZZm49aF8ag8uphxuYgJlJr +vW6yr46BVEZDkHIoE0uUlULr/cfg46DGuGIEEw9w637Fh47BnjvUPQp3mai8 +84eD630Sn6yCS6sfMLGz9vaePTFjcD+hJ1I+iokxS+ztliSS528rnshHM7Hp +ydu6wbQxSFLtCV39hIkpGrOhpblkvo81pxTimajH8bkXj2OQoeqgoJTIxGGH +Vz0+n8bArkujVjmZiado9PDjX8dglv/HfnMqE3u/Nvhr1ZH3bev6tr9k4rTQ +k+rVf8bgx9k8c80sJjYqvXXitpPzrpifq5PLxGKFFzYTfWNgkeY1dyCfiRMr +vqb9GxuDltOXNpkWMnEwIvJw1dwYjBmlGNu8YaLbPt+DxWLjYPww6pTjOyZy +zk8+z+SMw/4rjae9PjIxzuecVeKCcaB5i5n5l5B+st/GLVp6HN6GJ6rfLWei +mph29/1V47DLwYQb/5WJVhtCi2+vG4d5BcnfsqpJvucVTIVvGYfbz1UDPtSQ ++mnRvh8B4zB9IXxTXT0Te/5LJr/Qx0Hp6KHKzl+k/pafEovaPw5GbzhWs41M +dEma+RFnPA7F/RZt/Gayn8+dC1MtxsGv/9cx+VZSb69eFufbjoP+1aVVOzqY +OCRdX19ydhx+PClUNepm4hlWs8Uvt3GwOWJ8x6GPiQdnjYz6vcchd8/VLr9B +Jlr/eV0oemMcnIp+qsaOMPE159ED6ZBxMFsze6lgnImBpte6tt0bh27x64X1 +U0y8KTr38r/ocaA+4o6PzjJRvuzeoPuzcTC8sW2thCALtX41PX+YNg62arGm +m0RYyPx7+g/mjoPJTMv1w1QWUkU+hLbjOKy8G5dynsFC747rb/ifx6Fh56Xq +u2wW9qVrOkHl/+uJj+bxWHhWOCTWoX4cFt4SWtA4j4ULaWLG0U3jUBQ0sFl4 +IQvfn9EI+dYxDtltl4zWSLJwwOrHfsbgONAP7nM9sJSFdkkOd3dNkvNOCd71 +WM5C0YDIk5cFJ6CGq/EqVpaFpnVC7wvpE7C3Lvl32SoWWo5rpczxJyDWtUt4 +fA0LnzSKrNwpOQG/o2PXySqR/cxrV/RfMQFrLrkfPaDMwtassI+VChOw7Oa8 +MO9NLFzn+mJ4yaYJCO2VKk3ZwsK62Kbs02oToDeiRm/cxkIfmR+c/F0TMOS2 +2IC7g4UFnjsF2HsnoPO8ZZSmBgs7KksDjxtOQJJk7uD5XSx81yGTmW8+AXP6 +5QZJ2iz8pjjpPv/EBEi9181t1GXh9+fCv885TMDxyl+r5+9j4cSisaZq1wlY +ILs+fu8BFg7W+vlv9p6A81GDitcPszBy0OH7Qz8y39HKN0XGLPy94sRHoZAJ +aJjwtJo8wsLJ7/LHHO5NgOR/MdzNR8l5V7nE/YyegNFfA2XOx1i4pEM0XC9x +AlhDUvfSrFm4Pi5GqTB9Ag7eqHXus2WhQaSox8a8CXDgfjVfZ8fCzC8T554X +T8CGnjwTRwcWwhixfGXpBFg769m+dGLh2tAnV59UT4DjWRW/ERcWBv/qvL/i +1wRo6yjlbXVn4a+fTSfj/01A5akuircnC2P+MxxQ6CHxr5cxe3+Jha/bxVUy +RyYgsyGgjHmVhaqdPSowOwHy/34fNLzGwi8BWSNlopPwIaey79ENFlqU7HA1 +50xCvNWyuI4AFrZ5WLzqXzAJwZo+jirBZDzRh9eXTcLe3VmGV8NYKPjwY5D0 +6klo+e10+OttFoq1vpXNV56Ezmcu9tL3WbjN6I2vybZJyJu4EHM2koX6lMdp +k5qToPFGYwAfs3DHb/WkR3qT8P22n7n4ExLPT5fPaR2ehBtxjLYT8SzM99Fn +95lNwgrrW0H5iSzszvPzemgzCTPG5Yd5L1jYJSaJug6TAJ2B206mkfUG+n9M +u05CR98tAjNY6NQz8iXdexL+2YXbLsph4TK7hY9O3ZgE3yHLtHN5LCwq3aMr +GzoJlyn5khUF5L7sPL433Z+ER14nkhTesFAg+pFGbOwkXOyVN/d/R+rrbUqI +zfNJMO75vKn9Iwv718S+U8ichLbz3A17SlnovuFc4/DrSeAOvzNM/MJC8x1L +m/H9JDj7pUUzqlgo+yqmMvjLJPzojxQ/+53Ux+LZ5GO1k+A6ezi1uo6FnB4V +t81/JuEIP85l6y8WDn/au4HdMQkyosbW0Y0sPGCm/6d9YBI23t/mTW1m4SX7 +bT4fJidBq23JB6dWFiY3yEglCE2BXmfZ1l8dLOS+4KfdZE7BpM7in9o9LAwa +W7jDSWIKqjnfkzL7WZgloP35yNIp+HiuIlFmmIWHNqYd0l41BZ/Cf9SFjrHw +htTpxs3rp0AqqkRVcIqFRpcDHVZvnYKnb5xLzs2SetmjLCStOQUfnJ4FtQqw +8fcdl8cL9KZAPoy4fkSEjdOFLlrih6cgsJv3soLKRr0DB8d45lMQ+98wfzeT +jQoL1ueIn5iC7D9FiQUcNoYu2Oi38OwUDDrtddsszsakx1dPLXOfguDtbl5p +89nYq77HUuHKFJT7L8xTWMxGh5JU+603p0BuLUv5mRQbL9u2heuGT8HAU+W/ +csvZuOKm9PejkVOw2u34lzhZNvqM3Nzo+nQKaP1XRmXl2RhYfDQ9JGUKXDln +TOMV2FhrU2WQkjMFApWCs/Lr2MhPlp5XgVOwUGxVY/IGMr746szg5ylo0sqf +U97MRpPt2ziLq6fgbHusZe5WNiYw/fR2/ZqCxOXFgoQ6Gx/dTs50aiHjO2Za +PxFs1HzSrx/bOwVLu9TYh3ax0cjl4fyasSk4kmfj0aDNRqtXY+IsgWmorLZc +bafHxsH7B7W16dOwQGSB9MQ+cr7XUy99xadhNNfZ9MZBNippapm8XzINH+Bo +40IjNoZV+KjRVk5D/MT750kmbNwYxLYwWDcNVKe7b9TN2SixCd4+UJ2G/b+K +lldZstGa4mzXrjENv/OVym2t2Xj6nciRrXrT0NpX/W7Wlo0x7aahtw5Pg1FH +NO2uHRu/nqoTbzGfhjGWX+T6s2wM+NvUDLbTMDzqcanUmY3rgpqEHjlOw5cq ++zRbVzb+0d3pOucxDWHNxhtFLpD8iDqvbu0zDXtKFalxF8n6OR2mZYHT8DK8 +bd2uK2zM8RD/tuUOOW/sxectvuTZ7dSz+MfT8OJ3u+eNG2z0m7L+uTBxGp5M +rohdG8jGbayrZ4NeTgOldI10VTAbPZ3AVuz1NGwdmBhyDyf5k770vc/7aRCh +By9ffpeNhkviAoQqpkFtoP1ZyQM2PqgwKrheNw0+HGrA+UdsjMpGM9bfaXhI +6fm0PJaNLsEOZ+52TUPIngfHK56SfB7s65UdmQabHr7ZpUQ2ihnWtmbNTkNR +rWmG0gs23qfmGelSZ+DTrgun/6Sx8eOe9Rp/eTNw4sT5q+GZbJTZ8v3ZRckZ +ENE6PK2dy8ZnzbtDlsjNgDd1ef1MPsnn/SsnC5VmYFysZVFWEdmPy4IOa9UZ +uBWUXGT/lo1Xtd5YsDVnYNcRn9JVH9m4MrPcMl9vBg4luO1oLmFjTU5Hr53h +DCzZdG9R9BeSn/vfM5dZzEDOkhHzo1VkPl/xgtqTZD69aObSGjaWud0UDHee +gYr45ysb69moatrceMBrBp7oK7yI+c1G9sUfxvOuz0D5lk0xNk1sTNZbZ/8j +eAZ+v/klpNDCxv2mcTJx92fg+hK1moF2cj7buQtOT2bgvaPdorxuNtr9R/PQ +fDED4om+X3z62fhiX5D0gpwZMBR8MrpvmI2Lo8yd+nAGstc3h0mOs5FRo+NU +WjIDchVWcR1TbCwqk5d5/m0GmrqJta/mSLwiq68HNczAsp2PFG4KcVA5eWXs ++fYZUA+JfGImxsHGNAE3y8EZqH179PZ6Bgfn8rSp+6dnYO9XqqAoh4Ojyo3/ +aYjOwmfRN52/+Bxc2JBut4U7CxPsFIOs+Rw07E/eqbx4FkYsxzcFL+ZgucCb +ZiXZWZgp/3zv9FIO9i/5u2+90iz8lNp7UVuGzI9iN1RUZ+GpSmqz3EoObu9a +G7ZDcxYcnkqVi6zhYMx8A0c9/VkQTfi4rU2RzLfrnJyZ0Sw8//1bsUSZg6eF +IzMdLWfBUygsIUWFg6dcqpf5n54FA7GFiRFbyXidlfZPXWaBnRO30UudgzY1 +cZHvL81CXLX9HhsNDr7kHn/ZcWMWrp193r5fi4OPw93TeeGzcKDkjoSaDgcv +JVKi1KNmIXPR6a+r93Iw98Bid/sEcr41VosXHeBgpWa7Vkz6LAxY5w/TDDlY +NBhCq8+fBfuyLMvp/zh4MHrHh3kfZiH+SahFvxkHHQ9Iex/+Ogvn/oYMtlhy +cLbResu9H7MQsmhs8W9rDoZO7xps/DcL2SK0H99PcpCxZeKlQt8sJIuzlb+e +IecVLPLynJiFukN7l5c5clAkr/ZghdAcjFN5yZ9dOPg+5YbqKvYcFJrHVX1y +56CirKSyz8I5+LX88J3PXhx8YfYLmmXm4G2Bw3jpZQ4+jJI6qa04B2kzOycr +fDmYvXXTi9QtcxBtIBf1/QaJd6gHf4nmHNR5nPj7K5CDGkv1Hgbqz8HqMNPS +lhAOlrjT9QSM56Atz9SkP4KD8uZScheOzcFkSOGt6XscdMroWTtmNwc7n/0+ +RY/i4J+7HTburnOQmjqvb1EMB3da+FTPXJ6DlYG4VOEpB3uilD38AubgVQdM +qidyMHn92SMSd+aAMB+6evAFud9d+RcSoufAWFU972Q6B9VM7v9Wfz4HlsGX +Yy5ncVBaP/R6XdYcWMyu2PbgFQdljq3zcMM5uFpz61pWAYnPLuFXi0vnIGlm +1bWqNxxUn/9Up/j7HCwwNts28J6Dw07PlRz+zEG84b14XgkHR5yz7JZ2zUFw +rU7pxi/kudBGuHpkDo5CU6JxFQeH3inPalEohPt/X3derOFg9MEXz+NEKMSO +LzcfxP3gIBZeDBRhUIig4Oup5Q0cvB1xMfYkl0IkvNvmO/6Xg8U5/n3lEhTi +q8byxXJtHNS0vXJeRZJCGKRnOh/q4mCsxu7Nj5dRCFmOc7BPHwdZOq83MlZS +iP8y65yyhjgo1fH5rIcChUjeeUqyY4yDrWPG3R3rKUSBT/ytpdMcvJd/4LnZ +ZgqRco/esobCRa/+uJTK7RTi6ZjUKW1BLlI+a4zv0aAQvT6V1dbCXOSMLL5Z +vJtCyLzvlPMR5eL8BLkTO/QphEnVOstYKhftI0yCXh+gEFFTtj7FdC4+mEkT +VjemEEIxpiHNTC5+SpUvLTKjED/qq/1EOFycx8TmXVYU4p/Ew9PyPC7G0zwM +ymwpxE0Pr6364lxcue0/cSN7ChGcsGvEUYKL3V+tlf46U4hXP/DRnQVcFI97 +9sTRnULQw4s2FyziImxcf17gEoUYonIL/0ly0eE5/WmED4V4uMlHhbWUiy+6 +dVTW+FOIUYfOqM3LuLjzlqB8cRCFOOW/cNxShovqjXreZhEUop7dtCtQlouz +I6A+cZ9COG1YdC13JRdLEqeO33tM7jPpzqsWeS6aRz4a2fqUQhx5sL5ZXIHM +R+gN/06iEG7bigR3KnLR8udKK980CrEnQXLRuXVcvB5ooqGYTSEWXFm2Kk6Z +i+cM2BF1+RTCWj9RsWYjF2up58yuv6EQPRfCFGmbubjtUm7k5o8UQm5j3ip1 +VS6+PcE37igj8Toxt8R5Gxct7HNuPaqiEJGLNdnP1LiYtKFJ06iOQrjWH59u +2MHFRUZl7twGCjEjrd0+X4OLxz1ylcubKUTR9Yqq/Tu5aKDdfjawg0JUjDe9 +9tfi4he3GJV9fRSiudw64Z02Fzd/X3uNP0Ihlk3uCKfoclFrV41l/SSF0L9k +ckVdn4s6H7tLYikChHpjlLPnPi5+8Cl+7yAqQEwbjdnmGXCxsyT5kDpTgPix +7KDV5EEuFkkKu7H5AsSe+w+tthtyUUFBdsPfBQJEQUnxqYvGXJxot/PLlRIg +tCty3NGEiw3X1T1CV5Dx9DMhwmYkf7xmafarBQjXhVXpOke5mB+8QE1vnQAh +9f3372BLLqbVDfPWqggQ8d99JWqtuHj0s0gQZ7sAkZBeYCJtw8WEDQUvRwgB +4j+Vy89P2nIxQjf0asNuAUK68T0j4xQZnzU191lfgOjZ7O85a8fFIzc8FHMP +ChD9hz5M6TpwcWp/ACvxPwFiReqFW/ccudi1OCs28qgAQZTFKbc5czHE81Jf +mLUAcWO/Vsfm8+Q+QpxHA04LENm65ll+blwcZi3L83MUIDYy+u/Ue5D471ik +ft1VgDhHFQxe68XFm+zhK35eAoTi33uPLl/i4gq+bkDAVQHitezrD98vk/UD +ck3DbpD1bVyoa324aOP8Z+RhkACh+6PU2ucaF9+4nzB7FiFAbDX48uunHxdD +5w+F5jwQINombjip3OSiaeCG+5+jBQheJF02JJCLAt3fXBriBQiP9cdHuoK4 +2CMTtGo0mcTvYVzrnlAuBk1LZHIzBAiz6qbx+HAu0tfKSym9EiCKFq9XFL1D +ng/72uwrEiAMo5/6nrjHRTdOb7DTewFClX2E8ukBF1VG1z6+WypAdBnbxqyJ +4uLJp8w7WClAaKq1nwx6TPpJqZlbd60AcT9pwngohuxHfkBLskGAmPzw6qxJ +HBcDImOE9/4TIHZG7knHeC5uV9TNvtIpQPQmfJRanUjWY5eav+on8TM4kh32 +nIvVz6izQ6MChIC5nNfMCy6WxXbdV54RICj2+x1PpXFxX7flJmchQUKghhJR +85LkA5p8zaIJEqYhx9t3ZXExMaPUcZojSDxb8MQhM4eLD/PSFu6eL0gc39Kz +Si6PzK8sVhq2hDyXOErcfU3eb628+VdGkNCbOKpKL+Lij2ULTVVWCxLi5p2h +l95wsT+5ZUfAOkHCykx7xfBbLoo26W79pyJIhF1K7jn9gYuaz8z2EmqCxKmo +A4N/P3ExI2jTpceagsSVPMcNZqVclHvf/0VAR5C4n6CVWlNO4qWUqWm7X5AI +H2KdPviVi1dt4n9VGJL5CZp1RRUXpcqHHm83EyR00f3R3u9cFAwrD06yEiTK +Cx4vLq8l/S/3VOqSU4LE+/Nv6/f+IPWxSkgw7Kwg4S2u8LviFxfXpNTfpLsK +EvkvpFceauRiB2/D3utegkSLTHdWbRMXtyww0hfxESRelPy+Zf6Pi7IBEQF+ +/oLEBLEz9V8rFz/v1WCzQgSJx4/sJe07uJhpllV7+44g4TubWj3axUWNxn1d +y6MEibWOFvVXekm/UHLST38iSKwZq1JkD5D+2eQ7uzNJkOBRrKseDnHxcO2Y +8I80QcIv1v7TmlHy/bJT/fi5HEEi02MvL3+ci4uzy5dwCwWJqM9WKfpTXKxY +vUol7Z0goWrHiWmcIf2VU556qFSQWDKY3XmOwsOHRntCJisFCZWCokCaEA9T +PFb9iKsTJJqeht6IFuFh7K3ZkIONgoSn+t1GVSoPs7Vtc4VaBYkFEurhVXQe +rmYKHM7tFiQseYNx9iwezptxtHUcEiRuOayaT+fysIJiNaowKUiURBi0J/B5 +OFPpK9xFESL8ljUv0Zbg4V56yO0XYkLEYj3jrLYFPAxRJl6cYwsRa/RXZfgv +5qHnB+P96hJCRCjn6wJFKR4+3fvYm75EiFDK+PqvUpqsZ9Gi8VNGiFhQmCTp +LsPDfemz91NXCxFqO/8WSMuR8as+BPitFyK+XJop+7SKh6mNSySPbxEixs9e +0z23hocZOzr1NHeQ/diJqEor8rB/RlJGTkuIuLCXcbdsHQ/lt8bHMPSFiN2+ +q055buDhnks+X0YOChFblvekKqjwsLIuM7nZRIhYcmjgzO8t5HyNGsR3SyEi +0K4sJmQbDy0/qd4qsRUiRPiLDLTUeXjCIeXuWwchYtUzF48p4KHOicLjeF6I +yDP0ls7Q5OElRsAIegkRzn4/d57R4uH+UPUD732EiKdfldpX7uGhAEvUs/wm +2b/KcnazLg/N/SXd6kOFiMw485zovTy8IvFap+OeEJH7I7TFwoCHS6vXjk0/ +Judb6PBg2SEe/hXJ85mXIERUxz2t/WvIQ8eVOUPrUoSIjKbeR/H/kfX7Lunt +zxIijC8KDtqZ8rDY4Vyw82vy+YPIqg1HeXhKYvbt/bdCRHmtp+aUJQ/lSoN7 +3pUIEb0SVjvfH+fhrqlo7nClEBEhMa825AQPj8SnK6+qFyLOeprMmZ/i4QM3 +HcOjf4QI5ZUzBWvPkPurHPO+3yZE7K8qmzfjwENq46Hsul4hotD9vkiFEw/T +kqanJUeFCFWRLWGxLjzcvfb+f8dnyPxpXq/d3Hj4xbSuPEVYmPhau+v6vgs8 +lNnpdGyWIUx49JwZWHmRh4LzViw8KC5MFBZ9n6Nc5qHN5qzRxMXCxDrp4xm/ +rvIw0HxMQFRGmJi4N83Ku0biGfVmx4nVwkT86UDe/Rs8TPAYTi9ZL0yYfKCg +RwAP70y7W25UFSZqq3QlzYJ4GPGZ2B8NwoSIiYUcEcrDTxt2+/C0hYk+w81/ +5CJ4WKgXKOC3T5iIPl26l3WXh6ozSysoRsLEyIiU4+h9HopKiw9cMhcmrjLX +6zRF8nDi2vUzAjbChJA99Wf5Y3JfS6N33zgjTKyxTVv1OpaHapQQX3EXYeJh +uopy8lMe7vANVnjiKUwM7kiciHpG8v9IE7HFR5goK5T2CX3Ow9OPKz9X3BQm +XP+lV1xP4eHUaFbpmTBhwjTCs+liOg91o3r02A+ECSedqDzXTB4qX2nanxkj +TOQnbjN3yuHhGjPh30cThYldRz1L7fN42PixapyVLkxYrAsQO1PAwwbj6mdv +coUJ2YH74meQh89S7wx6oDBxsOvHgP1b8v6jnJ+bP5H9Nl2Lc/rAw7LNP0+N +VwgT3WE1im6feejUnBZbWCtMxLgwQy6VkfE3BgP8G4WJlB925X4VPGTftVYw +aRMm2u+ptYdV8VBFvua6Yp8wcXJt6d/H33moKbk8TnRMmLjfbFuUUsfD+Qpr +/P/NChPfftpeLvpJ8oXZtP2jqAiRR5eVr2rgYft1ojiFLUKkGEzmtjbx8Pbt +fTIP54sQag/0VWb+8fCk5xKrwKUiRIzclccS7aT+Wz74XV0pQqwyFJpc18XD +SBHX+xeVRAimjqa2fi8Pl6WaR13cLEIYxrz0Pz3Awy3nC+5f3SFCxH4ue3tz +mIfnP/yJCNwtQlhcZY8nj/FwA0f69sN9IsT83xPylZM8ZFT/jE41EiHkKiVM +xmbI85frhZ+OihBSVr03pQX4uHl+5HDrCRHC9cC8NzrCfAzbHKdDP0v2u1pq +9rwYH38f2PRug5sI8Srvya44Oh8/7uw9bektQgRf0L77jcXH80WXd4X7iRDx +Wi/GRXl8zHFOMC4NFiGylbztts/j41E5hefUeyKEwJIzg04L+KjW2KSlFy1C +fDOQD0lazEdVsVSl8GcixL5ke+0WKT5uu+5z5k+aCEF0TC6WWc7HkF5z0Y2v +RIinnhGsY7J8TH+gKxTwRoTYLy8sE7uKj++/HT/d/lmE2LpzkWnLGj5+m6jU +1KsSIcbePctfo8RHvdjS8IwfIoT8plu7nZX5OFV823p5swhRGR8/m7+Jj3I1 +Pq8jush9KP9sFVPlI0toPJY1LEI8jpgvaLSdj7t3HpcOnBYhok10D8Xv4OMT +f62tXBFRIn2bw+9xDT6q9CuO32eJEnRb7yd7tfjIqM87vnq+KMFtvPIsbg8f +Fy594FO4VJR4yvLum9Hj493N/hYmq0QJz7Hrnib7+eh9wnBuYp0ocfhd6v6c +gyQ+/36ejlYVJe7ESJxdYMTHQlF6kr6GKEEp+fnLw4SPG1x+v5vVESVe6ihE +NpiR/elav80+KEq4dG5M07Lko/LeghcupqIEe0ZhSepxPt6ZvzBQ1VqU6Kow +aF5sy8cdu7NOCNqLEmbdLVT/03xc/LxVq+q8KFFZohIyYc/HaHfOhmeXRAlj +xTCvM058HHWN2+jrJ0rInDhU2eTCR9v1aw+dCBEl7BPrQk3c+chfBff33Rcl +FEpuvKn2JPcldoOtHitKvDtdedzAm9xH3dt85eeixDLXVV4VV/mosLE4cW0m +iYeyGPvAdT5qnrNpUiwQJWZvDi/57s9H+lCsncoHst+EC8mmt0h+bPc5sLNC +lICba/FfCB/Ft8tEGteJEs9vx5k6RvCx5lrqYecmUeLAomtXZ+/y8eZVB9/w +TlHi7X531eCHfLR7nr0pf0iUCN20/orMYz4qfhxy6JgWJRzptpa5seT+ZOLV +loqKEVZ9DfUG8XysKLFKMOGIERZGVgNdiXysL6/OfbhQjHgn/y7J/wUfD7nl +Xvi3XIy4fLyRtiadrBfQMrpRQYz4L/8uvzyTjzM3tLbc3CRGhF6s/+Scy0fo +qtNqUxcjfkfeXy/5mo/lJ7LX6mmLEeOvvu/9UMTHpesYo1kGYgTNN0LW5S0f +pTZLJq86IkYYpbfkyn7ko5urhkn0cTHCbbiJXVfCxzblfrFl9mKElvvzNUFf ++Ci6Nb043lWMGBGz52pX8XFWZWXEpstihOFb03eCNXwM7af6ffYXI4K/Zem+ +qSf1cFch3iZcjKDw3iZc/U3Ow/aYpkaJEd0bvjfubuJj06aRiIx4MWKoRXuM +1cLHYyoFF2zSxIhfHpcHa9v5uK9S7NXSPDHiGa3ve1w3H5My5Ewb34oR1wVZ +8S79fBzJv3ImoVyMMFG1sNUe5qOOQcy4a60YsW2ly1KpcT6eypJl7Gsi8//X +UjEyRfqH6cfUtV1ihICo8eXKOT5qqFgO8kfEiBh5901pQuI4xfnbQJkTI5S+ +CA6Eionj3i7TK6NUKuHl+TrPlSGON/dNtAzxqUTbifN3jnLE8chTwUUTS6jE +8y//a7DKw6Fuo2gpmjGLmfkts9qlSFkrKbnaiCzxFdpDtIlSpJIlhLJVSBQV +kqIoVMKVogXtVJRU0oZSKVS++fN97jn3nnvO+7zPy4xbSBC4+sRLXaUJDCAG +1qRPFxKYHsmRSY0ZcHfJlvqJUgI/pJkqms9kgNKwkVRVnUBOmErfivkM0Oi7 +dIzUJnBnRtj7OCcGbNjDtVOZQOAtn4jf1R4MmOXpPYUzicCUT8Ymf7wYUH6u +axHXkMAsUXOO9RYG2H1oLhSYEug99dLipJ0MiCnd4CCZTmCZ9WqXrkgGjF3K +thg/k8DWDVsvzk1gQPEZSZCpFYG6WwpDCtMZ0DRZcdz8uQTeF/RUik8x4Ei4 +Xb+HDYErkmdHp5xnQAgEWW6zJzCJ2fCWX8GAHVu1ehOcCDw5+LDrWC0DHp0c +YBa5EriyqDnDoJEBH58VpN13IxCqnbkNLQzIt/6b8XM5gV9ieC4bOxlwubpe +rL6GwBk5nwPpLwxYmv1eusibwFfruiLvDTDA8IxD/p71BEZtnpAYN5oJr82G +qy9uJtCQrZDnzGYCy/Lfpg8BBOa8+tKiIWRC6dodl7R3EGjtuN90SJMJB5sT +Mz1DCFxOZdxtN2BCgW+sfl4ogRHNgvO3pzPBuuCiz+cIApuiuB+q5jAhMNRn +6dQYAq9YPki87sCEbUriUfviCbyYWH/xpjsT5vvYbnySSODcqQdWtXgxwXRc +TKbeYQLXFbwt+LaFCQyN7cci0wlcXFGbQ+9iAn9Cg19HJoH6WvPc5kczQb99 +ngxyCAy2rngZmsyEnaNvnc/NJbD9eOp8zGTC2A/GupyzBJ7Pis1hn2FC25jY +pJAiAiMnbBjlVcqExTatfR9LCFzqAsF1VUwY6rN2XFUu30fFVjjlDhN0Rv6W +tFwj0Kftc/+pJ0zoG/hPy7WGQJPgOzKt10wghbn5j+sItM8oOXPuMxM66JUL +3G/L9z9XkG/1iwkvGhSZnY0E3jvQbfBKQRne6c0Y8HtI4F6bdof9XGXglOdT +I08J/PlOX3WmRBludRL+R14QuMSguHhwvDLMtl+uPKWDQJetO+k6Y2VQz/Dr +u/dWnpfXk/XplsrQLXPR3fJB7u+b+deCFirDv926FWQPgakv4tXXLlEGMzv1 +wppvBHZRWUVL1yqDX3jsOP8BApnji0Pc/JSBcftWq9YwgWetTTK8QpRhYYWL +dtuIPA+TVs3d0coQaV7Xnz6WRJeZ8XonUpRhsLPO0YNJ4kXWzvrG48oQtEcC +6lwSZ17jqIwrVAZFv/z7HwUk3isfFDuUKwO3eI3SVSGJD5oM/p24oQz6wSt6 +DspI9Jjc9uhPszI8Gm5IWKdJ4qhNoRd82pRB1/7L1zm6JFqlPDzX3q0MRjhZ +Y/wkEn9Mb+9Y9UMZtihyxrONSIxL/+jVM4oF5dW6zN9mJE4sSHSO5bCgbo9Z +y4cZJM6eX1htKGFBqzon7dVsEhnLfRre6srr/DyX53PlfO6MqFxTFrz5y6Wf +25JoO9DF3QYsiDLb8+mlA4mfPcIiFjmwQDjL8kW3C4mijb4DpstYsEDhRt+A +G4lKKYtjJ/qyoPHosamslSS+uz7XRX87C+5WBZfreJK49Eq6/4wIFkRemhQ6 +15fE6/v+DC9JZEG+WuER380k/q4IJsIzWfClm8FI2Upi3YDPo4oCFiyuD39T +E0SipVvEkr9lLJg74Gf4YzeJhR3PrjrXsWBcsvPQ5AgSvTntstIHLDjp1eTo +F0Oi9VK3LM1XLFATF5uXHiBxd03Q0uzPLCh9/qbuTzKJ3KCGDZMGWSD2ifiz +KI1Eo+0zft5SYkP7uIbeU5lyv/Q0Rf4kG5Z9Fp35l0PiTqMZ/bpabJjmM9Zk +Tb7cX37u6R5DNsiuWmU1nCORGtO7qM6SDYNHzvWblZD4Xw1XpcCeDUOhLnMK +yuV5r93EyvJgw+aajUc1r8vvx8JnXtm+bFgft1ThZC2JjxiZFqU72NBamJug +20DiZa/NpU/2sWHCYb5taSOJpPuuXqVDcv7aWKt5j0gk9DYKFuawIXCsdmR7 +K4mB4cvmZBazoWnHJLXdL0nUPt516u91NthWybQ03pK4fa+2R8A9NlTUns66 +94HEaKPz8d+fs+FWVnZWaC+Jq4THVu7/wAa7AG3jaT9IDHY++HvSLzbwU4I2 +/Bwk8S19NrJTkQOuSvSSyhESX8/J0S4gOVA0o2xMrCKF1x8WjQnX5oDtjdnR +y1kUKgRn2W8w4UBe19OPU/kUBs+/reNtzYGxaa3WQiGF9ps1rwY4c+AA3XZ8 +REah2bcppkmrOZA05xK3T4tCWQK/umYLB0KMA/K6Jsr7pcZEK+zlwIL9qwPf +TqGwZuBTmVsCB2zcufEfzChstJy9pyaLA1fvLxz+YUHhskvjlSzOcyAqQeM5 +w5rCvoy+iIZKDtjnvJuqY0PhWu80tfX3OLCmeJKOjQOFHdKbLFkbB9QfPyjf +6krh6/qnIW8/cWDUuoFRuR7y+sCrjOohDsyIUaJfraawxb3oeJEyF86bljE1 +fCg8t6Wx4qKEC989Rn/dsJnCQI846W19Lky8Ou1l5TYKVUoH/ny34MKeV71d +VAiFyw9+TTaz50KDE6G+M4zCTQkanPjlXPjB6Tj+JprCyQKFgh+buBAc3RG8 +5CCFg+Hvj27fw4V5Dr9uPDhEoXrhoFA5gQt29OrU/zLk890WrCo7zoXV388o +dmZTuOr1tbygYi68U6zSD8qnML9vsp5jDRdm6XRJySIK7/l56cx6wAV3r1tf +r12i0CaQ/wQ6ufCY41m78RqFM4O6dqzol/fr1MzXrqXQKSHONmmMCnTr36/o +aqBwZefZA89JFQhIOqZS0kzhJLOhsJm6KjDSKmuIfirP8/hM37LpKrDT3OO3 +VzuFvhvnRNksVIFUCVbZv6XQTvuPpH+ZCmhKjU0sP1FoUL0joGyzCuwy+Rtg +/o1C79Fv7qbsVQGr2x9TLX9TOJGVs3V/sgpMDzCtWjRCoR9nTlHaKRWwuZk0 +xkeJxhTzIw01l1Ug9KRRTByHxgtvTrPGNKjAMbMGzwqSxpI79bfWPFeBwGUx +FX1SGh1On5r7/LMKLHwy/rSJNo1ur82ebP6nAoqnuuaF69No59DzNoHBgxvN +ydefGdO4YL2B+Xc+D3atD9efNYPGd77bkn2kPNC8nX2hEGh0DqGFH3R4YNaz +xU/HlkaFOqNfwVN4UN+gFHPWicbno7NX0OY8mH9aJrNwo9HJkbm9zpoHh+8q +urasonHhr/cbw+zl+LBKx70+NIYf2udvt4QHy6gOU5MtNCZPHluis5oHV7qq +JvTvoDE9d/Nq7gYeaGxe4lwdKtenn3duXCAPHPTdn6RF09g0ENbAC+VBiZNx +2+4EGifq13Tp7efBm7nKCX6pNNo8kVi4pvCAOt8s2HycxqFpNoMHM3lgbGWS +FpxHY8LMYffWPLkevGydXESjseBXkslFHojdCqC8jMYymtVy4hoP7PWm1Xys +onFKt5q37BYPXhd7f9Kvp9GgzHz7ufs8INJkX0OaabRojbJe9IIH2tmGIy0t +NNZlrGSMvJOfq1bZzOmgkenhqnSzjwcJyasHK7tp7H9otitziAfPdd8tmPdV +vu8dYW60Ih8uqJ30bPst5/9deyuSx4eWzv/CI0YL0WL5I43DUj5ssbj/ZJqy +EE8nxw+V6/KhkfydOiwQYluP6GivMR8WJT0bui8VYuWZSLCw5IM3npx5WUeI +gg2Os47Z8mG8bXlKwWQh5jkkPeX+x4ciQen0omlC+f/kq9vR1XzYq7B9ww0r +ITa31fCmb+JD1kVd7w+2Qryw4o/j5yA++Jy181F3EeLR1DVeZZF8uNxSc8F3 +uRBNXwfkpCbyQWL7IKLWW4gv62OXHTzGh7PUTPXJW4TI0PjYnZHPh1C2VWNh +sBCjrtbnVJfK5x3Nb7aIkONjPDqGqvnwrvCx38t4Id70/zLieI8PDg8b+w8d +EeK9ip41la18cHttW7D8hBBXKY7ygnd8iOmuejG9QO4Hzd7w6isfFqza8mxC +qRDHGLg+S/3Lh2dxwd8mXZfPN4gU+SoLINitM3hevRBPxd067CIUgFdyUc3W +B0IMGHpZ7q4jAHL1B7XLL4Tox572LcRYAHqFV3tYXUIMSf59uXy2AHK8g2JC ++oRIjkwIVlkkgNOKl+b/HRRiRWv5hSgPAfSHu8WnjxXh7eGc57SvAC6mlJbZ +qojwsb5SYP12AeQOJk7iS0T4KmP+38ORAjCPXOjyTUeEk29J/oYlC6DyXPeh +j4Yi3B5YORR/QgBreYYeQxYiFKr/iig7L4Bxd6oJnQUizLzmpjWqUgBZC/TM +fBeLsPfzXP9NdwQQO8I1vLlChNmtWqN+twrA/Y/FnpnrRdiREBGQ/14Adr2Y +1hQowqGpFmuCfwqgSSj9uytMhJf+ZQVuGkvASK+98bwDIkwfl+m6jyAgV2fk +il66CP+5fC+q0SLgyKoiVYPTItz6cO1UTRMCPEbf+GJ/QYTq+OBkgTUBC2tq +K+IqRXgl4ODFpYsJ6J8XSL5vEOHLgyE6BmsJSJnJOr72iQg9dRzr9bYSME3J +/euf1yJsiGrydo4ggGnQX3KlR4TGRuOe5qTI+03cEp86JMLg70f7pacIaChK +mnBknBhFYT+yb5QSsPhVxKwyUoz8vIL61Do5vooXOagpxo9rit3SnhBgMuZ9 ++VpDMc6lrtnf6iKg+8yd7N5ZYkzTSzmt/YuAt4ld407aidHG1nt9KYME65/s +2hB3MT7Km3J+m4SE6OBxuSE+YhybIYlfZ0CCokdn8sntYrz/7rPuwdkkfCWs +/PsjxZg6JqCk25mEdZ7lU/xSxNjP+OkZ4kVC+sCkBkGOXO/GhrA5QSR0sM1n +vCsWY83UCrd5cSQU+icmvqkS4y+7vAXhWSRUMPxfcJvEaKQmLvt1gYRLU2UW +G9vl+i93iM7XyedfdH/687MYHQIu/zzRSkJ8y5dXpcNinBD74+XDz3J8v1nq +KZYELb6sDFwwigJL8ZU59VIJlgW+8P1HUvCg6fZsdQMJxnu47x3Wo+B7rFFv +8SwJSuiSA1ZWFHw5+L4uyEGCz09kBzf+R8HVKY+sd66S4EhMg2XuRgp4TpmD +l/0lWKHX3Hs7nILseXEJUyIkaJm1v2RWOgULmvxL3h+SYOgj85ujiykY2HZh +UkeuBBV430IltygIvD6/RVwh15P8xymunQK1q/3ZR+9IcF3stgbnHxREqW5P +WNkuwY0mnYmBbBqaJM+ubeyTYPRuScAPHRp2T/q44oaCFD0CdZa2WNJwe0fF +DR9aiu8rnJ1kbjRMDQe3ZfpSZL/Ym3QngAahvvnp7NlSzKxO2NYZTwMv+Lfj +DFcprssYFeabR0Ou1lEd/fVS/Pytff1qpGGXh5FgR6gUnV0byKY2GmZ7uhio +HpbixLnrMi//omGMUdnF8WelaP6O5SAhhVA8UZ15qEaKi/bXlSkYCyG871Dz +uhYpRiWdPbnNUQh7HRsac3ukuF5cqem/WQiKw98UXRVlaH2ETPkbL4TOrz3l +21VlOPD40jHtQiGURd1dzp0mQ3J0o1X3HSGcedx4WcdJhuMXV71y/CSEdOH3 +e9fXy7D22E2LtSwRlM5gDrdFytBUdVfU+MkiqFLx7N9/XIZ26hZep51E0JRv +i/VXZFi4OG3kzTYRPO6Z+/zEExkm4nduT5oIdi6y0RR+k2FY0N7XdytF4Lq7 +/+c0riq6h5/eFNMp5xspWigZqOL1uIVr9BlicHg+1TPBThVl+sozbhiKgazO +3Pd0gyq68a85LXMXw5XcXq8Pcar4oD/zx0iEGDgDrw88KFTF9jPnYmvPi+Hl +i97lGY2qOCZxX2bxMzHkpY7VcepTRYV1OznPFCWQ92/37BGBGiqonZnmbCaB +A5kKhlemq+EO/1ZikrcEkvJV6+NWqqFoZMGuvakSUIXxdtFRapjsXOzqeVsC +l/Ixv+q8Gl4JUX339Y8E/gVNzrVpUcNBbqnUxlQKekrdEyxGq+PjJ7kDUZuk +gOvzwosnq+MG9sPepjwprKs1Rlwuf83aCiMXvpHCgztTdJMPqGPw9JIWbU0Z +HD3Xkm1VpY5Bb58FJ3rK4KF589qBr+roH73SpjZfBi3XVy4OIDRw9mylzOEe +Gfygi6yOGmpg6s+onGhzVfn//2mcioMG1u44JiyNUYWBYc8vA5s0sLHtWujr +Z6qQb2o9ZftBDWyq5T0IM1SDOx/HmV8q1sB2+0ih4IAaZL832939SAM9Kp0Y +xl/UIC/Kr95hUAN/GZlqHHFVh2mEoGSKliaKVM50im6oQ2JVd3ungyaqhFzn ++so0QMndyu/RHk38QZ3tjFihAfG6mbbRFzQRv49tNDqlAXfWvSdPvdfEoy/3 +eUX1aoDaU0nYKG0t/B/i3Ew6 + "]]}}, + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, { + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[ + 1.6]}, {}}, { + {GrayLevel[0], PointSize[ + NCache[ + Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[ + 1.6]}, {}}}, {{}, {}}}}, + AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948], + Axes->{True, True}, + AxesLabel->{None, None}, + AxesOrigin->{-8.144860364541588, -4.851467865055216}, + 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]], + ImageSize->{444., Automatic}, + Method->{ + "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True, + "CoordinatesToolOptions" -> {"DisplayFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& ), "CopiedValueFunction" -> ({ + Exp[ + Part[#, 1]], + Exp[ + Part[#, 2]]}& )}}, + PlotRange->{{-8.144860364541588, 2.67851413667637}, {-4.851467865055216, + 0.012064355914590463`}}, + 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}]}, {{{-6.907755278982137, + FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.010\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, + 0.}}, {-2.3025850929940455`, + FormBox[ + TagBox[ + InterpretationBox["\"0.100\"", 0.1, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 0.}}, {2.302585092994046, + FormBox["10", TraditionalForm], {0.01, 0.}}, {-9.210340371976182, + 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.}}, {-7.600902459542082, + 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.}}, {-5.298317366548036, + 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.}}, { + 4.605170185988092, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.0106352940962555`, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}}, { + 5.298317366548036, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}, {{-4.605170185988091, + FormBox[ + TagBox[ + InterpretationBox["\"0.01\"", 0.01, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, + 0.}}, {-2.995732273553991, + FormBox[ + TagBox[ + InterpretationBox["\"0.05\"", 0.05, 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.}}, {-0.6931471805599453, + FormBox[ + TagBox[ + InterpretationBox["\"0.50\"", 0.5, AutoDelete -> True], + NumberForm[#, { + DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0., + FormBox["1", TraditionalForm], {0.01, 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.}}, {-2.8134107167600364`, + 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.}}, {-0.5108256237659907, + 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.}}, { + 2.302585092994046, + FormBox[ + TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, + 0.}}}}]]], "Output", + CellChangeTimes->{ + 3.7992652009635983`*^9, {3.799265284012347*^9, 3.799265299286607*^9}, { + 3.799266537137291*^9, 3.799266566547916*^9}, 3.799267214795848*^9, { + 3.7992673562244177`*^9, 3.799267378909185*^9}, {3.799267486866403*^9, + 3.799267529436865*^9}, 3.799267983310302*^9, 3.799268083810974*^9, + 3.799268152298849*^9, 3.799268659972763*^9, {3.799275172550398*^9, + 3.7992751917695503`*^9}, {3.799275462898712*^9, 3.799275514997849*^9}, { + 3.799275557295232*^9, 3.799275571129184*^9}, 3.799275614254651*^9, { + 3.7992760202373457`*^9, 3.799276034288312*^9}, {3.79927621051716*^9, + 3.7992762785901623`*^9}, 3.79928076478865*^9, 3.79929600749002*^9, + 3.799296081754157*^9, 3.799296453265399*^9, 3.79929672213064*^9, + 3.79929675249331*^9, 3.7992970520356293`*^9, 3.799297370515438*^9, { + 3.7992975668488283`*^9, 3.79929758547651*^9}}, + CellLabel->"Out[1321]=",ImageCache->GraphicsData["CompressedBitmap", "\<\ +eJztfQdUFEuz8EgGIwLmnHNO15zDNYdruOYcrjnnBAiCIEiSJCIiKiiCIopi +zumaBUXFiDmLgkC9rpruYdEddn3ff877//+8PWdxndmpqu6qrty9PUfPnTR+ +2ui5k8eOLtdl9uiZkyaPnVOu84zZ7JJhHknKc5i9rctJ+BkkSfyhVzz+4f/R +8bk5/WMEiYmJsHTpUliwYAFEREQY0GUzOHLkCAQHB4N4HT58mL6yaNEiuHDh +gkFuTxvDoUOHYP78+TBp0iSYN28eBAUFSS055Hfv3sHatWvp/oYNG+Dbt2+E +gWMUkLUizAsbN26EuXPnEmSEcPz4cXo6MzMTNm3aRNdWrVoFT58+/T2MFnR7 +5syZMG3aNPr85MkT+prKGLVh7MrvaQEl9eIj0DI3qiOwknn1B/1TBLKysmDJ +kiXw+PFj+rqjoyNRh69Xr15BcnIyfX7z5g3NW2pqKrx//55Afv/+Xe15QwJv +SI98/PiR/ifPXUHYvHkzsQJfbPAQHR2tLzrJgMPF+8uWLaP/idk7c+YMeHt7 +E0nXr1+HdevWKfzSgVMmtxCcPn0atm7dqohobrOjBV03Tp0GGKkv/TXXnAm1 +x3PyxgTZBatXr1YeOXr0KOzYscNIYz2x/yq3fX194d9//xWPianiT2lMlTa2 +GMOsWbPg69evBOr58+cIQjLilKigUueGCfj4+BA14oUrjIFvkQs2E/7oz1zI +MSBjzQEJLMrAOBb6XxdVbpj8wg0ORxsYy5xMuXHjBnh4eChPXr16FTWIYMqu +Xbvg4MGDyu2dO3cSwfwxgYA/pcqUFhxbeno6rXjxQj0ze/ZswRcVbLnxZc2a +Ncoqw5etrS08e/asee4I1ViTY1jGmsMSiJThcUS/zRoORxuYn1hz8+bNHKy5 +du1abqwJDw8n1vDHBAL+1G+zBrVhLqzh2HJjjYODQw7W2Nvb58YajlCNNTmG +Zaw5LIFIGR5H9Nus4XC0gfmJNbiEkXPidezYsdxUmZ+fn6LK2GMCAX9KlTX/ +HVXGUelSZSjZ4vUfqjJlQMaaAxJY/o+oMgZHD1WGpge9EE3rdvfuXSP+XZyK +xYsXkwpAG4zOijD5Wh4j5HhN2G5GlNSKD/Rn+7t3717OEQtVPPhCY/vo0SNk +iSEHdfbsWRojvlD9uLi4KIxXR2NE4O/du0fuHZtDeX7y5ToaLai6aIfWh1/+ +afwGudDMjb1wmhEnCh4+yXSHCb8cHx9Pl3CCLl68aKD925oeLvorEyZMQPRi +9nFW0VvFb6O3ip6UcW4IDMltnDNnDiKRxMzj9OAM49fRL2FrXZl5bSjEzH/6 +9AndG5g6dSrOlWFuY9COpYt2SH20Dzs3SHzWi/Fh4hP8JYcy7fiN84kBsD6q +PqS8uyGN0POZLUf+gsBD3dl/snQ+05bfePvpPuE5dXuDNFLPZ87c8aZnXn1M +1PlMGz5FjCYIOtwbguNRb2TxxwrJX2VPheMfAw1gBMtCC1hjLdeMtFwz1HJN +cEbjmiBA6/eLarmWX8s1s/+l8/8rOoXcnbjpSpL+9tMDSZss/t9IexH6+8uK +xK//73L6Xzr/J+g059eysjLB72AnCD3+t5T3/xHaVZYT/q+WlmsD/oNrYpqS +X50hrfPvgzCefvsfJyn28hJwj24EqWnvfpck+tuK30j78QU89jWDqPMzpDF6 +PnPrcRRNx91nh3I8k/2I+GbE6Qngvb81/MhMk0bhtTxw6tSpPDrwtOQ3PqWm +MDwN4PA1O/E0c0jzQP585hyELHhw584dJXvKHEdJJJgxvD137hx9R0vqU0ie +tkyqgS7iLtwNpEl4/vYq97nkTEGhgvmggIWBJCgsSAEFOtOY683IyKD8BUYK ++Lp//z68ffuWPmtLAIoFoBnnaVsU9FeOP2XXDt26TYd74ucR/HJCQgJYFy4I +eU0NIMaxmSDQhGIUDNXFCyOA8PBwESCrJO7EDP0GaYbw4v1NmrVzCb7cIzaG +pKQkKF7UGsxNDCByVX3I+PpCyiYO59TLy0vBfuXKFfD39xfEqWSvVInL1jN/ +8ItHrjsSSR++PpWGc5JwRsqUKg4mRnkgbHFN+PFJSIQ2knByNEhSydr81nw1 +5zcyMtPBJ7Yt7Dg5WiEuJSUFKpYvA0aGeSBoTmVIf5/EAWljJqY3fmKmltTF +f4u4pJSjNHM3kndJwzhxr1+/hhrVKoNBHgk2TisPaW9ucUsg8QQDLgXMeuCC +RO4x9ovAX0tUTJ9/iq21WZYchO29MAc27G0K39M/SUM5YVigqVu7BuRhhLlP +LA3fX1zmZktoEVwfIvyMjIzkdy20RY30/Z9iT1WqhKB9S/vAqGoCMRfnS39z +diQ8egsz1sVAybKVkRBYO7oEfHt2Wg721TWkAHntYThx4MGLExykMcx0iYXi +ZasRuBVDikDqo3jJVE9420+MBN8DHdiQf0hDODyc/PJV6xG8Bf2twd97LfcB +1OE14zfef3lE9B274czhmUBaWhr8+WdXgjezV2EI8l6N06AvSBHrvvxwRxrM +Sfzx4wf069ubQE7qagkfrwdy11odXlP6aEQuEMbowUf6swtZgzhIVNR/DxlM +IEe2LwjvL2/gHpIukIbw9M1lIvHivc3SID5qFKKxY8YQvEGtCsDbsw6ITl+Q +cf+uIlP4+dtLaSAHiYtp6tR/CGTfZvnh9YmlCDKfDpBN+I0fGd/BK6Yl7Doz +WQF5J/kNNOkwkED+2TAfvIifxSBm5tcTZOLTgzTwO09iOEhjaN51OIHrWDcv +HPJic5yZIRXQE96ec9PAc19zSM9Ilf7i8FBlILzWNS0g1q0bLPQ4xGxs7vAa +8xtfvr8Bt+iGcPDKcg7PBFxdXQles6rmcMyzMyz2PIjiqC/Iy0lbaciPX5/n +/poxqTAEWb+CGSRt7wGZaZ9EplUnvK3HBoN/XFcUS6k/h4fVW4RXs4wpJGzp +CJnf3kmFdcBrxG+8/nhPSScJeGFhYUwN5oHqpU3hZmArZnBf6UyDCXgnbq7n +Afh9qR+H5+EbDAYGBlChmAlc8moMPz4/lax1wGvIb4gIZNvxoQq8ffv2gaGh +IZSxMYGjTrXA3mu7ZKMnPE1XXSTEsRpuamoCJa1M4IhjNZi/xg/meRzVF6Sm +qy0nGE3JEpmbmUFRSxM47lQVXLw2IUiUHJ2kNuA3sl3vmRyunBfOlzcvWBcw +hqMOleDb83MckG54Nx9lu+W9ObxLly5Bgfz5wTK/MRyyLQ+pj49KxfWEx3wO +5ry3Iee9F4eHrkNhS0vm4RpBzPKy8PVBrFRCB7z6/MabT0mKMRDwbt26BTY2 +1pDXzAj2LC4FX+7ukkrqCY/BUUSxJ4eHKWRrmyJgZmIIuxaWgnunfKVSOuDV +4zdQIeJ40dfqyUXnwYMHULJkCTAxNoCwuSXB33U28llfkEwREom3n+yTenDR +wTCgXLmyzLc0gOCZJSB4/RQYsSoGwepN6s5TY+S4KuO71J2umVGlqVKlSswt +NICAqcXhftximO9xRIilLtB1+Y23nx4QyUdvOHHQJvDy5UuoVq0aGBrkAZ/J +xeDtiYVoFsrqCfL4zXUE8s2ne9KfHCTWRGrXrk16yH1cUXh9ZAYDmVFOB8g6 +gleZaeQXbz85SgGJFYcGDRqQqnQeXQRexY1nRP4oryfIO0/2E5W3HkdL3ThI +dPGaNm1KIO2H2cBpvx6Q8DClggbIbIgCUPipcYw5rRhzvvHQ3BQ+f/4MLVu2 +JECrhjBA3h1h/OrdxPQKOgiszW+8+/yQCGQBC4drRoW8tm3bEtzFA6zhsn87 +mGAbIQRKX9Airfr6411eWjEhv69z584Eek4fa3ge0RkS7iYZEM2G5LkKWLq4 +JpIgGYJrJ0YoaNAd7NGjB6GZ3tManu1oixFgFT1BJjw9QJQz5Sd15iCxLt63 +b1/ZHexmA09Cm7MI7nFVPUFi0gIdI/Q6OnGQ6GF269GHQI7oYAUPgxth3FVN +B8iaCuuSZdZdc1BAooc5bNgwAjm4jRUk+tUGJ6/g6nqCPHHLTa75fEiQOnIp +QydzDHcy+7W0ZiBrwBIHL+KYLrg1FB6lw8bY9hB2YjiHa0aeJraSIdz+rYrC +g4Aa4O7lLVSLvqATn8VxXkVKHfgsyE7sVALdq3kxBroqRiy19AQZcXqizKsf +X6X2GiCxUklObLNicN+3Eny9v6+2DpDV+Y33Xx4TlfHX7KV2fGJR2OdtOALN +Og8lsJ0aF4ekjRXhc2K4VEdPuCdvuSuBSztOKk5g3XYyzD9q2cA9BvPTzc11 +dYCspsErDNfQeRKjb9VzHIFrUNUGEr0rwk6fuUi+viCZ86DE9GL0zs7OBLJu +lSKQwEBudZsII1ftI7HSFy6LMsAzpgU6PVJbLlZubm4Et2ntUnDbqwLs8x1H +cLny0gW6Kr/x4etTIvnwVVsO2oTSMwi6Ua3ScMujArw5xmbh4WttykuXXAg0 +p257yPx7f1tqw9Fgrwh5+tVLw02G5vXhKRjgNNQBsgq/wcJsxr+OEHpsiAIS +c5QIsnbV0nDNvTy8PDCG2cW0RnqCvPc8nqi8/jCC91rI0tt9xGKQmK2tVrEU +XHUrDy/2DYGsH6lSYz3h7j47hUIx5F8rTmqPUUvJfhctagNX1peHC/6dIOHB +4yYaILMhVuaAPhK3GsChq6sVArEVKg8LIGyK2MBFlwpwwacVTLINJ2Y10UGg +gCv0IdbnRZPn7t27wcjICMqVKQHnXSrCv75/wBS7MCFgukBXoo9GaMjJMdx2 +HLNcWaLfKyoqCoyNjaF82ZJw3rUqPA1rBYkJt7TJmC7uVeI3GNdoEAlPY5W2 +spiYGDAxMYGypUvAOdfq8DS0Gfz4+LC5DpAVOfGUDD7SjwVZnVHeRO/YgQMH +CGrpUiXg7Pra8CSkIaS/S2ihF1QWZr2Uw6wLdwMlAXLT1l1gZGwCBS2t4MS6 +uvAkuC6kvbrWUk+QkWf/AY+9TTFNpjQkYfLSyNgU8hWwhH22dZh1qA7fUy60 +0gGyAr8hfFnUDH9wmcAOK3NzcwK5e1U9eMgMzhpnF2HLdFErQDPrwH3aJKkZ +p/bEiROQlwVvRYsUgcOuLSE5oDI4rXMwQHljjyAGAUsX98rzG5gz9Nj3B+w+ +M4WjMaUcbb58+aAIWy3HPTrCo4BK8OWe7Ev+J7gu3ttMQ3r48pTUlM8W1iTy +s/jR2toKjnl1I1yfb8vtawnJb7XJui50srNoBJlZGRAQ1xU2x/fBLEATPolY +rylQoABYWVnBUZ8+hPHjNb/2ekHN9jGuPtwhCZDh0YfB1DwvmFnkhxi3vgTy +wyXXDnqCxKQoBlvoYzTmPMC4GkGamOcDtwVdCOS7s9iZnSVpws0GW5ZDY/qJ +CGT6SpLthIXsXjCOjZjvBwUKFiLIa+f2IKhRHsNYGBeP39FFsECx/9IiSnN9 +TH2uoEDwPSZtYKDzE/hIz/EEPsZzIIxatVeoRF0oyvAbn1NfUE5k38X5XLmZ +wsiFAQTe2NQC1iwYSuAxBlvgcVirXLbTE5cwvFhpk4djJlfaLAuDiZkFrJo/ +inC9jBnGLOV3NbnUha40fZS1PQYpzKlCdjbgo8OKnLW1Na2G+O2rCeOL6AGQ +lf6VR2O6QBuiU8Xzo/slARfrHJaFrcDE1BwWzp3C4FaGlMiekJn2kYeh6nBL +cZJlHd+fdDzzCWWPNK8iVvjeG3eKyEc0E6dMZmqvClz2bQHLPaIpaaUfKkN4 +9OosDeF8YgD3/fLKosvkp9c/3mCRrxApp5nMAX/gXxWu+jaBqXbblAwHx5Nr +4baArsItXb948SIsXLiQrq9cuRJFQrViJajHhDIWhjCVV5eLElKPlJvlLQjG +JmZwJCoQkoNqwW3/hjDHIUSb5Hbhgyjyn9R26Trex3AVX1gznD17tmY57peB +lOQ3RC4Avah6fCD74k7T9OMgtgX7MPtbD55sbYxxqtqaEAP579aA5dvGv5Q8 +sXeDPgjJZ4GvkgKSJ96U+tFtbGzIZB7ZH0a0PtlSn0qGvRTCcq3/5lOr/1Ja +AbM3+MKeYSQ4NTWVJja7BizE/Xv6RzKzu85MykFeEWbJkbyjByLg6bY/4PHm +2vD95RWeXtVZC86rVgumGi62G2BNke8hklSltwS/cYkbaKz21dGg0srKmpg+ +ZpYdJG9tBY+DamARkSeVdRaFzdSKwkQlk1QTNcLkTHK2Kcd+UmbKa3OwgsFI +W59xK+Hyxuakd7y93VAKs8nLtSxsploW1o88zBHFyj7Bgx28H0c2uaMXb6IF +Y25hASNmroXzPm3IZ3N2shX6StCYW4XYTLVCjAROmTLFAHUU+3JgYCBovpRV +UoLPI+rxkKMDyfwwb6MW5zHSidrJiM3j8Jnr4GG47BZtcFmu1bDyxaOqy8WN ++ynHZF1+N4DPixkpJ/N8iMscuo91oIwn4vp0M1hNiehCV1RjdGhU0Zf6nv5Z +zouYK1Zq1MJAMoQWbL0NneUGx/36yc7fv168WKcLhSFzXU/TiM4k+Eg1OHyE +3XOyJ5gy7w+t3+lTJynbjLDfX3BCsnTCL6IxBCyLYCaDueY1+KSNXODPPR9z +6DnBBQ5sHEng355egY8M1Au6ITx+fUGp1QnQly9fJpcQHZ1ek1xhh/sYAh3t +8Tfjx+tBGqCzIQuAmMnEChOaOzHd6LlaWlpCwYIF4fz58xCxUZ6KWI9+MJo5 +gsjfQToItuE3nr39lwg+fnMdh2+hONumzDPGzx+v+RL8eO+eDH6UWFj6osCo +EC32l2+vpWp8TtAzwPlA5xt92i0+K2R3bN9gSLz/TJuM6mKwNb/x4v0tnmN3 +kKrwEQkBHTrbkxmDfBRGINr1zjLalD19ITP981A9UUSdnwnuextjdxtHIcto +1zFOtOrMLArA0Hm+4OnhTNro4fYukPn9Pe+wUYdvxW+8+piouAZV+YwNnuFG +2gO1SM8pXmC71pkC3+v+zSHx7t3heoJm3j4FFtgqJUhHR8GMxdN581tCv+kb +YYWjO9z3rw7XfRvDdLsQ4oUm/GzwhTlUOUpvAAeuLFPmHDfKmZmZQfHixclJ +vHv9JCQF1ITbfvVhtn2QkCJdhAsUWMJFFG8/P5TkhJEx7N+/H0xMTCFfIWsY +tzwE7t46z7Tpk5CGuBPl5jnFc2bs14XGkt/A1DHOT8ylBVLFn6Sn7wR7MDY2 +gQKWRaDvjAAaRYJ/A3gcXAezJKP1RBH370peqbnHUcjS03bwEshjYAgFCxeD +CavCaOqRBXLG5LzO3s5C/AaLGSmw23thtlSJS0/P0cspPZe/cHGYtHoHSgxJ +DkrQ3St7x+oJWqRMMIFakYMOCQmh1gHLIqVg3ModMMc1Ei5ubEWCf+9ixDgd +oAvyG5+/vaTWKubfK7MSEBBA2ckaNWqQIV7iGQtnvNvTksWli4KpCT8bvIAq +CszP313nRToLWG7rROlZm5IV4MyVRMyhwhk/OTHitW6hEExdhBfgN75+f0Ma +Gh1PGUVeJS1euHhFGLRgO3a4UBYYUYR6zYcxdvthxvrDFLbpi0dkR5+8uSSV +/UkyW/eaQPhKlKsBgxftJCtwxHegbCAvuU7SgUL0iKemvacM8c5TY3hB0IJq +JnXb/k3gS1WqA5dvPaJkxsGNwzVTJvqiOH3Hi0bBglBlFOg7Nu00hFAUr1AP +ZrocYCN7A/s2jiMUD/ZTC9NkHSjkrikjigSwoBR2Ahd9VhkNLNOnTycsFWo2 +hanO+2Hm+kOwzX0SYdnnMRAWeMRP0SpP+ThSUQFC/70MZza6juPHjyfAWLPE +uAWZsslVNstxnr1h1KpoktYpOsaQl48B+6bRZmKXABuDHIPloxrm8OFyN1b1 +hh1gjtshkoEQn6WE6qjXnzDBPkooPY7tN1qsMeDFaBzrebgHlrnKKidtqIY6 +YhPCgctLlWx+KU4/0jqb0Vy1Xhu5QtKsGwxfIaeuNnnb0Rgu+HWGxR4oAW+n +cvrN9QnSefBlQb1WjEBBldq5E6oButjR8/LDHbI4aApKc9izXA9CqSqN5YpR +6z4wd0M8Ee/kZEcKL2V3D2bpP0znhKsG5XLAY/ILrXwns2hrF8c/iJcSbgg5 +QW8WC6jojTCTXoqTib0KZavKfRQ1W/SHMbYxEHf+IXh5b6DwLXlbe8hIfTND +IVMlRFcjk2+EF6IhDkTgr+zg3JRP5cOXpxQvU9D44cMHaNGihTyV7YfCiJVy +2dDWyY2ZvGoUBmd8SZmpSiOP0/Wi0Vg5GeCXqbTgg8A2ti1HBlBswwKDkpxM +7IYWLSmY8hGZssUOXnDPvwbc9GsAdp47Z6lynAfqenJc7JJXIRMTkLtpKi8l +beFtVnnlvqEq1ag62GnQLFpmLNKDtZ5bqCfhjl8dmLsmkDRQNqG5huxGNHBc +bpi4U07WMVHb2a26mkw5uPSMVOoSxEbdjMw0OV7OR5mVihUrkplv2W+OML6Q +/v4+PNnaBB4F1QVnr81Cownqcwvm5W0SmEXChgdFVf2yLVpVgwmpPZfgq5Ty +SmiALlWqFFUNe49bLcfuRrDaC7NLLeTs0ouLc2UyVdW8CYeG3axocDGmZvJX +nMvcngPHwSJ/Iaqb+QfvpKVLLoNDGCRtaQWPN1WHb09PzdMLiyFuvlE8B5Hv +wYQMxncY77KwxQDhs8uTbXfApY0tSEmkJsfN14FBbBpD/x+9ZtyCJDCgvcDE +m3neAtB9opuYKWxtOufTlrSlv4/jAj0xMMiEAXeNFuNiv2fPHiqAYoSx79AZ +khGcpnGrI+GkdyeyJsE+q8jL0oVHtP4/eX1Rrjdes+NftoAtW7ZQM2up0mVh +/IptQhYh4UEKnPLtSXiSTmxYpAOFEENUNKHH/ybGMwEQuRU85QSVDDq7k+0i +xHwt8DgMr+ImyhWvy+6L9UKS3Qp3LtGPbySTj0WYMXcxYSlWthqcu3pPUWdY +QDrk+7fs0p1D7ZWlC5XQ/tjIFxj3J61utsrlsF/eqY8uBGErXweGLI5gLgfz +etm9sXYxsM9Hrvm8PYmIsqQleqEzZIovWGlBsuEjQ79o1KhRhKtSnRYwdFkk +jWrk6hhqRwlzkz3J10dnYoviUh2o8vCRYekWzQEeAsC4Jof/cltdnz68k2zE +CLiV9BLlTnBss+tUQnbMtz82Ly7TC1l2iyXWbq35uPAMENEb2LDdAHI3lEoj +G5+vyxxChVKY8DBluQ5UjDhRdUCngU2FFUeE7aHCyrXsMUYxxiTqzJJs9l5F +iB5G9Md4aYU6oiyOCD0TbKNEz+Ttp/tWXCpQ31epUoX0PSaEsyvexoTsS1IU +r5/1pqb7lbowYdN0pJIxtOIsosx/0WJgYGgEvUavEBZRzisZsbg0Eh4FVoXn +EV2xFX+VOpJMPhyM8lAUNsf3RfNVmM8bFvIxFYf58U4j7LLnjDNpA/NXHgVW +h2c72kHG15erdSHCyu9CGs3TN5f5DgEj6qbHhgcsqA+f60PzJTT2MscNkORf +HW75U9e+rTqGDH7twYuTPLtkK4lxYOqb+vXLlCEThzwX6hTHtHDNRrjrVwtu ++9XDXn47dSw/OM3pP76SVsDmKBaRyRmEAqSD8EwRWqnMZZks9wgpmT78jK4K +uizoujh6heA9nQiz10/iszj5DIyfdBD6mtPWRnNpM1HS7Ym3r1GhEHNTd6+f +WKOOKZ0PDTOMaIv2nEM/P6sglzmM+7r37q8ooauJzxCJpnRnfHkOz7a3gcdB +NWlfgIM6sjSODAszuKMErcXH1OcCGWqGDh06ELLKDbuyKCpa1kGygkVkiSw+ +ehbOzOCmqrRpwFEXsmzdeuV+KN+RY0zOZf369QlT824jUTWwb8pjQvFY6rEP +Hu7oxsS8Cnx9sF9aq47mOx8TNpBhyoS7PQX4ZRS8cuXKUTap8+A58lhMFRnE +97jVu+GUdwe5YebuLslJHdk3DhUVEba+IcdefUgQyLCcW7hwYVpXfSfYy1wy +VRQe/juRRdLHvboSsi0+yyRnXciyze7JW258i5QxtbBhIhRXL7pd2SrPVBHC +rMx0eLhHLjls95lPLksu6FL5INBAYadv4KEe2PQgJ1nyg6enJynYglbFYdyy +EIi78JDSTRppJ+xxhNfxsqV6f9FFctGFzRAOXllBg0t+dUaSEyJyvzIeT0lW +vkxVGDgvVFjenCuNOT1vjs/XTBnlgvErvybKKbGXl3CMxnSM1ODB8rY+7Dqf +6RLLrsryiJsl3p2RTRXf4SC5qqP5wqcRt40EHe5FRbvUtHdycG1GoY7o+K/b +oifMcT9MrjhXjAYai+B+vK3sYMh7IKT1upAawunbnvLGksd7+bZEc9pHXbmy +vI8Uc3qaZhhfTDIlYcPuH3NR+nOYm+GmgZEQfuaDe/n+NqUxuMW34NO4PfIA +VQkNjYzBxcNfQyrNNCuR9Pp0K1huz9k/HNtz3NUH94kjxWgPTSVqrQ9fnshI +TShRYMhMMlbauo51IkRsRmVbZkpyKl5fEiNyNOhs0IXUEHsE+faPKH7Ighzk +YnUeZ9TSpiT0me4vW09FM2dbgq8PYkiL8SSOhzrGj3yYSSlHCCNWVdjcmnGk +aAnGjh0re1NMgM5euSvjQ4VmlkOhIW6mnElJP2fKOiP1jac63g8c75dvr0hY +cZshM65mnKe4Qbp9+/aEd+jQoRqnq5orLiO+kQD8/92rcWSK0CRlfEmRvNQx +v+eYMXjZdWYSSRSLJwVmzMWhW4eYsZPnTvIbLqjmORxWMeS0V1cpVsaOjB8f +H0neujCjbdrCS6sekpho7ARFJW5qagrbtm0jVMrKNMuhzMki3joHT7YwwkNw +68c9H3Wk7/hwmcEgDxYtVUZmuinHi4UJ7ErGtg2sKaJSHW273/AnrY6vHx8e +wNPQptTKk/b6hrRRHelbjhTb17DfF9tZ3n1ONuFzjHlP4czgvquJq7ZzxSfb +SOFCMS8Qnoa1FLkIyVcXxuySFMZUIlGFHkbXrvIm74q1mtMedzZOIy0YM76+ +gmc724u8hOSnjvENH6PYVhcjrxw5zLckOapevTohbdJhsJIcxgnGWZ3pGq98 +Ftgzv7+H57u6kUOfmhwn+atjf82x4wltOLvYuJr244sxn2HcZYrePCYVMOhX +a8cVkTwLUCBlTx8KWFjgEqCO+BV/Ar1imbXNsP4nZx1MSUutX7+ePJ9ixYop +6fhsfZ+zFi5CbyxdYcmcenrvhAWqE/CSP4HekAgxbj2OFt1fGNKOHj1alq26 +9dEtZ19GdWWoOdfZiDPS4OWB0XJ3x3X/TboQG8K/97cpNW2BFZtsxN48LGvM +cj3ABO/XNUS+yqEpPAfiJgWpo3vBCcQN/FgExYX7IzPNkAs1xms4wTjRC5fZ +UXWLSfIvSNFbOTZHMxuSG9IUjvRT6gvmjrWj96fUFHHGIsa5mC9ETYVZsWyx +ykfLSAj1r8KdBW9PLdPMkmxWJ+I5JwKdmdBjQ8jfffKaH/5oShwWG8uKlKoE +E1ZuI3uLllddxo2JiPfnHTXTJ1KwOhXPhICwGdx7Ya5o5BZUYPjfqFEjOdHV +qCP8vXS3sEgKFRqaRTlu8sMVD+7sTEBnZ4suArBS56ZsVRbJ9bi4OPLCUXW7 +u7sj9yWRtcFUkYaFEqnkTzc2cddnBLo+IeqIqaWVOd8iQY8ZS5wF9JAxGY0O +OYreyZMn6QGNEFvr0IWSYetadoT2DsT1vlWDAiKATp9nZvbRq3Mk8ch7VDPY +l/rnn3/KvmTr1nDq0p1fdImaghPL/EtSNM/G9MJu5lD10T+mvxakWXHnrP/B +LlTSx1JH2bJliQrsScRMneJ6ZSPNVnRmmoqOXqnJh3iypgtkfnu7TZ2IR/Q3 +LyVrsM6A3ucL5v5iahUXYP78BaDPeFvNDI3W4QvmM1tGNo1vaA1Tx0ztoYx2 +NN24xwgX39XE/dC/v5wPwAB6/IpQzZBhyro49BnoM1uIkqgJMJPNnLJaVE74 +8enJdnWkDznncQ8atkWj1G2LsocKFSoQ0smTJ9Oyx2Ga5GLGmFvCO42bYN1l +hzrGBxwjyjU25LjuqQ8zFvXnk5ufzj3OnljZfGh4u7nKWvq7u+SYyf3Dt3eq +U3GfU4GqCRs87EJqQ7M2VeUsacOGFEXh6+dAW6y4n/SsMg8/PiYzV01pEQ7X +RYEpnE3YCP/YVwYrm3yEfdS4yTDVOZavaYZD24AFo7OTQdjreyZCHV0Sf+7c +nUDoOKAoHYCEOwEwL8ggG3IVJsbExyUqbxmpr7PzQI/id6njuceHFX3EDcpU +tqAhdejQnlJAYkINNVSVmECBiQVN8Hx3D1IZX+/v262OKZGPCB2fZWvGgYmZ +AYtEDcBxrT0qTCETyDHkFiJja0XbbAoLkZn+BVKi5H7Tz4nhkeq4E+ivMf1O +ROuO8qlIRUrmh9GLPBjT2HhEhK2piLToLNBYQlls3b+MGcr7bDfvUcd+h488 +KmoPWFrl52m1ijB8+XYlrStskqYPpNK5qzhkmenw6uA40W4bpU7ALU4A1t+F +y1fQyhiWu/WE+Z5xQlGgMIlHTPmM5cgZXcBEX5akiYkQ3eTw0ZkuXbq0vCrb +WILf3rEwz/NQbmpBE6eIejQTR29PLyec0eqju84Jxo0DEydOlEdnaQGjFpSn +WGO+spPJKIdOUGZdmyWQvSCRWMKNyJhY2qtOxTX6a0Y9kJhSpy3SbSqB7Zba +YL9tPAuPX2VLlF58Fibp/cV1sismb1Pep04D9RAwfwSTAoLP1jbWMGt1O7IU +iwMmM/T72LqKgX+c43L0pIlWqo9XfWTvR97BHKOO7QofMbZZFC1alLD9NbAv +eO7uTthWBS/DSpyRljkWDRifbm3hPcC0r3m/OrJL/DlstejZsychw6J8yHYv +8IppD65RjWB5oIuom2tDas6Rfrm7S7MDOFYdKbVssBAVPRiM1XCLFPp0Ddr0 +g7ke9rB+TyNYt/sPmOLioYSsahZHDPnrg/2UcXq+608MYw+oYz/PqcYEcr16 +stKqW7cuDJ/jBQv9ZtIcO+7sCBMcN+fwJsXz+TlGkWt6trMDMwyvDsoYf6ND +DBmMCV/sosJ+mJSUlN/oEDvLOYepVbyOw8AmAYT06esrcNwxWBaXrX/BaLtw +Qy2KQcjmt+dnKXmFe7Z/fH4Wx0ei/4auFy9e0HfxhYdBYZoQX7/RL3aa/hYi +NDhJGOHhkAYMGADHzt2AJX5BTCbaUbZs9ZYFLMA9rC3SE8z5/vJfOSsm7w8/ +xIek2kUm9LLmr4jwfiIptxayM5wLGIqI0g627/71jzM1Xi7btIK5dg0Z6S1g +oa+nFScv7e0dnj7DjeaJhxXyct3gZUa6GFOiONmoEcXOOT26yI5xluPvRYik +Py68Nn0mwrDlUUxGdsPKLSNIZuzDesI4h1AUe1E4FV1EfB97vCrFOfZ8mZE4 +4PkjKAb4NRSJXyjW3lN2gu4VgMu3H0GzLsNoOz25hqNGkR9FhSUnf1qsSPWS +wEks9owSKsOSU05JPGwoYpHA95QLR1RFIcc+MEOinP8QliSSHjp+HkVToI9w +gUYlhwKNWwLIPypTEwbP9iahxeaNJYFLSMu6RDaFGRsccmSVmUAX4qPI+PqS +St+PN1WDb09OHFVGkWvvmfZR/EbjmSyZ+QlLZGQkHXwlCgBtBi2msgrG++Mc +toJtaD/ig1N4b7iSeF1ruq0gHw6LPikKxWj0a/LBY3w4uTWjGdNYsO8Y1Qi+ +mcAoXpseHWmH+FhQzpo1a0bjwLpNhwHTYP8pqisQR2Z7riRuoKpZ4DuHHB1r +QTfmKSN7y3nKe3uOy3RrMzMH+XhxW1HHjh0V/fxH1xEwZHG4kr/HA1scdwyi +mXPY2ZkFs76K8yDUBSUn9w7iycltJ9SxxnKsuLFJHCSFZaKGbfvD6SuJSvVg +5OpociTwjAmMsG1D2Dg9qQVaGStuH8dkDc9MnlTHGsNXKqYohBeBgWy9lr1g +wJzgHP0vS/wDwCmiqxxiHx+KvcFiQ1kWi75fHZokkpOn1BHKDqN88mCXLl0U +hPgdTIxlx6smMHHtdrALHUMIXff8AQcvB2HUXYQLFRsmvDk6i5dTsTsiS8oF +sxyPWNJSwzNPmjdvLk+ykTG1MR89e00p0yAbZ7nFMq9iHheo+rBs8ygYa7+d +KFRIwOzkySU5erhOa5BAFMghYCFatLh3UuT2MVnQpONg+GveVppndEJFs9ZM +D1tmedpwnd6DyZaPNtfcSoOOd+fW8PKrnKA8oz4VcphtRtZ/xYoVtD+YNh4U +L04eAKoWxTXPSwRNc1tHQo4ErdvVAY5exZ6V+F+8OhsuER8uu2smK8+qE7OT +SwSKIHaSGTF+iK0pji5eEHMqUZKLo2aw9cAtqm/PcHcD++2yV40Gev7GJXA7 +OUU0qH66EahZqz2njjyMTyNuE8Ym38aN5b52zI1j/0rnUQ6kKTX7gEYQf5wp +yUiiGfkHLPKbC7PcY2gKBBVK0jL6L6zenlenIpTzAy0y+jCYoxM6buDwibQT +SqOkh4SMso1mRNgxBdSJiMCDfTAT8z39ozhOITtxSccwXFDHv4VfwzAJt/ez +WWBTzihgUEpVrAMt+8+ldkImnZo0jHeMgHkb5zOl0JpocN7VCsKOrMdqkjiF +Ijtv2RnLuhfVaQiiv+ZwIykF+k20h6r129K+NrK8TD4xcbr/yDne8SUntCY5 ++4F96ESmHBrLzj+bjBWbHOiozzKcgm/PTmvmLy/9vDrlglVecl+xlIo0Ybsu +SQHTv1XqtgLvgFDaZsJVA1dQ5oyW3czmrCavC/Gj3dl6dDIs9d9IYorSIOj4 +zlDL1V46xe+y+kz48ieQIlSTKBFsZcoMMSSGNOs5FQYt3C4Z5BSLGBZ4eTJF +NQZc9jQjilwiW0LUWUf4+PVZeQ427c1NjTMV7l1RJ8RbTCFTXHh8E96zsrKW +CTGBOvUakBuL3tgvKQQz5uBtoqjMKaKdxuRMgLssTMnITKvAgTMSNI5MuPmv +OjkenFPoQaIexX1GaJeRUxiElqxQCxp1GQf9ZwUp6ig7jcXiGd9QWOA3Cxx2 +dDVAihh4p/Bu1O+F23KVY7I+PiImyaXjy1fVCVovWPv9O7kmeIxHjZp15Pkx +pn6ndh27Qpchc2HKmt0akiMnv2e4xTF+ecHigH9QpUoyUUbgGN6BJm7CWjqM +t7IQhy8pcqoUC8zPTl9Tp0tumpKL5Xi8iJOTE1WxzczNJUFcQesSULVJD+gw +bCWWHHP0oKI+n+C4g/TL8uARGNErxDlHdKOzy3F7bkLyG22eouAsW+/UzkE1 +6UeHr6sT7MAJxonE6iTaoO7du+PmboVgbNSvUKsFNO0xhTaejrbdrxBM6QV3 +ZqTWu8CigCnIVk6wMekGjKTneC+BSU6hJBXVOYWYq00RudqkvTd+1g1yq6rs +qaOUY6yDR5ug62BqappNWl6oULMZtOo1AbpPdMeCvdIdON5xJywLdINVW6bD +2p09cBUoc+nE3OjdZ1bDsgBvGLcmSpuBr8opZfaDuoDIj0zYcVN9Lpdp0Hz0 +7HXoO96OWhbbduiCSSlDojkfFChcFKo2aA9t+0+DPlM9lSYD2bZEwuR13jDX +eynx3zG8vSGfTYzYlgaNg5kb1sDYNWFcbGQaNbtM2CxXE6RTWngYTwsH3VIn +fSEnHXduofONBhl/0ATbeSwtLQ01JAH9ch5kwBT7CMVlHGO/A/5x3UCkox5c +G47+aoNsYWjEuNAX9jB3EY+IXOAdnSNTJNRGbUG7Rkb5wxXP2+q0i18GwZ54 +3DiI/5NPeM5u/sFC+6lLdyBkRzT2dkKj9n9B67Ydsd+T4ZL5gnnDbt260RGd +bQYuIlHHnWuz3aNhgU8ArAxaQ7K0eusAthZbyXwxoUzF2vDuEHFqCX1lse9W +uJP8UqTmf2JNHb7e0IN+HT9dzmWfx8xPlqTHGGvWrAm9e8uHx1QRGB7lwCCy +Zrii8TBrPKcPszAYsOLGx8LFKuApAWLUeHwJ1mcx7Gjy5yToPJq5XcsDGH8C +YEnAWlixeT7Ybh1Hhpb5e0Y0alPykNeEDWLx0EyY7WVHOQXMI6BUNlPGmAlv +TiyQXfRTy2iMd3SPEY1K+fKyzRRbsXEwh05ehiEz3KHdoIVkbKo36w3la7Wi +vk8raxvJmI8Ij+iwLFYeylRvDrVb94M2fzHDNH0WTHJcBPN958KyoAlgv20Q +uSyukY3FiDCf4MzUwsotQ2Ch/3TyLnApLvDaL6kws6kYKMYAZ1fz9PwcSs8n +/KzRaHgGcv5BK+PkrGyhny+TOkH3EA8hQhWNCw97OvBkIKyxDhw4EBo0agqF +mF0xNjGjfA+z1bgnoJBNcShdtQY0aN0C2vTpBD3G9oCRiwfAIp8hsGb7AKZT +OjM/pRkbAs5BQTYHDVC0wWlnHzYPI8kWYmSP6xqzFeRZ8Tn4uYDcmo/q/UW5 +MRQ7ZiAzI1EHwzVmpLASaQ9nfv90p72UL8VsHnqHWG3E3YtYTV++fDmMmTCV +NvBWqdcaylRtCFYlKkHeQkVw15oZnwIMJQoULsgkpCiUr1EaGneoAW371Ibe +Y+vDqIUNYbZrA+bEYoSLCxmnoADFnKhqbbf1Abtto8Bu6wwK+jHqmubqTdOA +iQCR3cbp+Kkb96fCndays/ilpY9XN8rxUuwoLHHclWfLkguWvr8r1Sg3VSAb +JFxV+C5ZujSTlOJgYmZOuTUpP4t1TNglc+beFoCKtSyhXgtraNXDBroMLgYD +Jpam4tU0h8qwyLsGOITVoemStV9+WWJ2tWBT1onpg14QynzwnSfng13ILFjg +u5BWEQawqE4W+UQwYxupGOif+3zjzj+UxL4SzV5cpSZl/Etzhtr0ip/A/XQr +RDnYJetHqlxhlvdnGMDjVzfYV/Ye2AE+/u6Q/PIqvg3gIf2uD07vg5RL7H0R +7qdcgKSUswzTvednJDwi9zSzYacg4elxLNk+PSY1gDtPjrD3Ybj9GN9xcOjK +Llga6Mo8EBeIu7wdrj2IgqsPIuHApRBYvmkNe9tDaLw306+rYUXQaog57wd7 +z3vDys3LmIZaBMuDFjJrsxAizzjD8ZsecOyGOxy5vh7ir62D+KtOEH5yBZPN +yUw3TyD9bBs6FuxCmbxuG8509VD2Zks87C+m5QZC0OHhsO34cAhhYTPuMUY1 +tza8PfOC2lDk6BLZAtyiMJBrQFGfVA4MDfOAmYUhWNqYQIny5lC/pSX80cUa +Ov1VDHqPKQl/zyiryMU8t2os9qsNDtsbEzj0opmnz0jpA6tDBsKK4GFsSGNh +ceAUFgXMhHk+C2CuzwomG2uYbLgyT5w5PJ5bmdcdxjTKbkx6iOU0Z8NR+JaW +obxjzjxgMz7aDlUy+0zX2HcUGWB34HrSa7zO1Bn+NYLr914THHyzey345fe3 +w0k0nkX2ga9fPtzDy3lyyIccqKz06gQL7Pry/8l/UTjkwKo+8xPxbzUKstAX +cGFeL9Op4Ly7Oa0MDNGdItoy56c9pXHWbO/K3t3BjhlU29A+lAHGWVq5ZTCb +Kca47T1o5kpWKALtBjSDRf7TmB6exUzXHHnmmH8122s5rawZG+xhurszTF2/ +nuLPSes2MkscyFzfLWylbWNrKQJG2kbhjM7ixd61Tva0+RXPSJlkG56ElzWH +zTyHwFhP2LTfC9ZutIVlaxbBplhv9vaBwP0b2XVfWhtSZQiKDWLvzfTeTP8G +s3cIbD4Qyv7P3gfCIDh2O/t3O2OvJxkRJHL2Bl/YcmAPBB+IZJ/9YZKzL6UT +Jq8LIOIx+Jq5PoTFQlvlgThupcLKWDagaS7hMNVlNxbnmK+8C/5xjoZtcddg +slMsDpJ5CrIcjLJV2ukkvl+NXTLiUlW2ZktKJ09wOACT1x7EW4obi0/iNa+I +K/Tm9w3UADMzo+2RiQz0uDWxdA/R8OuSIEF8H//ln/F3deJus2/g/0UvIPvc +n1+OjQ6BZBbQJW5uBbtiT9/Hy5xz4pQiXT++Jip9P/kx2sII2heRHWHyW0pb +1a89bNl9BPy7cgOviZKnFG+eyjHKrQ3CGEav3pejzTr3XsGcGwxU2rWVn77U +1vuoCdNU+zT145e/p5zXKP0+ffh7PCinHXg+bqtVavYqkZ6KY2qk/XIh7ZfF +zzumvbpGh0nhfoEfHx4ka2qFX36eXtuP1R3mX03HSm1IQ7lS+/bOo5yA9PjV +u0P8q/LuhWbiiCu5y1OrLxknnqDdB62IP4xPT9SfOMifkHcPdKAiYerjo0/V +nzjAn8ju+Mcth7HP1J+IFU+kf6YWD75v8Ln6E/v5E5qt9cyJSVF/IkY8odkT +f3XjC/Un9vEnNPvamdf+Uv0JuXRknLMx/Yx8WHUuj0WLxzQ6ybGZCuMjeUsC +76X5qc87fhr9yJu8XUKS8vwXOq1ZTQ==\ +\>", "ImageResolution" -> \ +72.],ExpressionUUID->"31f3dd4d-68a9-4998-b515-ec7c6494ad58"] +}, Open ]] +}, Open ]], + +Cell[CellGroupData[{ + +Cell["Exports", "Subsection", + CellChangeTimes->{{3.799175833649254*^9, + 3.799175835033679*^9}},ExpressionUUID->"ee3f8335-dfbb-447d-b74d-\ +ca724911a8de"], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/metastable/example.dat\>\"", ",", + "\[IndentingNewLine]", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{ + "{", "\"\\"", "}"}], ",", + RowBox[{"Normal", "[", + RowBox[{"data2D", "[", + RowBox[{ + RowBox[{"Select", "[", + RowBox[{ + RowBox[{"#L", "\[Equal]", "64"}], "&"}], "]"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}]}], "}"}], + "&"}], ",", + RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}], "]"}], ",", + "1"}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, { + 3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9, + 3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, { + 3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9, + 3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, { + 3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9, + 3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, { + 3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9, + 3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, { + 3.7991529523155527`*^9, 3.7991530923580437`*^9}, {3.799201296814672*^9, + 3.799201346637186*^9}}, + CellLabel-> + "In[692]:=",ExpressionUUID->"51366330-d057-48f8-9a4f-bea2e8c09b22"], + +Cell[BoxData["\<\"~/doc/research/thesis/data/metastable/example.dat\"\>"], \ +"Output", + CellChangeTimes->{3.799153093664613*^9, 3.799201355975721*^9, + 3.799202282371971*^9}, + CellLabel-> + "Out[692]=",ExpressionUUID->"95752517-d63e-4f25-8ca7-4f575fb4e411"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/metastable/scaling.dat\>\"", ",", + "\[IndentingNewLine]", + RowBox[{"Flatten", "[", + RowBox[{ + RowBox[{ + RowBox[{ + RowBox[{"Join", "[", + RowBox[{ + RowBox[{"{", + RowBox[{"\"\<\\n\\n#\>\"", "<>", + RowBox[{"ToString", "[", + RowBox[{"#", "[", + RowBox[{"[", "1", "]"}], "]"}], "]"}]}], "}"}], ",", + RowBox[{ + "{", "\"\\"", "}"}], ",", + RowBox[{"#", "[", + RowBox[{"[", "2", "]"}], "]"}]}], "]"}], "&"}], "/@", + RowBox[{"Normal", "@", + RowBox[{"Normal", "[", + RowBox[{ + RowBox[{"data2D", "[", + RowBox[{"Select", "[", + RowBox[{ + RowBox[{"#L", "\[Equal]", "128"}], "&"}], "]"}], "]"}], "[", + RowBox[{ + RowBox[{"GroupBy", "[", + RowBox[{ + RowBox[{"#L", " ", + RowBox[{ + RowBox[{"(", + RowBox[{"Tc", "-", "#T"}], ")"}], "/", "Tc"}]}], "&"}], "]"}], + ",", "All", ",", + RowBox[{ + RowBox[{"{", + RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}]}], "}"}], + "&"}], ",", + RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}], "]"}]}]}], + ",", "1"}], "]"}]}], "]"}]], "Input", + CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, { + 3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9, + 3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, { + 3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9, + 3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, { + 3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9, + 3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, { + 3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9, + 3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, { + 3.7991529523155527`*^9, 3.7991530923580437`*^9}}, + CellLabel->"In[65]:=",ExpressionUUID->"19dd7b18-acbf-4e21-a357-947e4c32b028"], + +Cell[BoxData["\<\"~/doc/research/thesis/data/metastable/scaling.dat\"\>"], \ +"Output", + CellChangeTimes->{3.799153093664613*^9}, + CellLabel->"Out[65]=",ExpressionUUID->"ade98982-6822-4f69-8455-4b9b0b008429"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/essential/3d_ising.dat\>\"", ",", + "\[IndentingNewLine]", + RowBox[{"Join", "[", + RowBox[{ + RowBox[{ + "{", "\"\\"", "}"}], ",", + RowBox[{"Normal", "@", + RowBox[{"data3D", "[", + RowBox[{ + RowBox[{"Select", "[", + RowBox[{ + RowBox[{"#L", "\[Equal]", "128"}], "&"}], "]"}], ",", + RowBox[{ + RowBox[{"{", + RowBox[{"#D", ",", "#L", ",", "#T", ",", "#H", ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + RowBox[{"#Me", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mm", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + RowBox[{"#Mt", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + RowBox[{"#Ma", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]e", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]m", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]t", "[", "\"\\"", "]"}], ",", + "\[IndentingNewLine]", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}], ",", + RowBox[{"#\[Chi]a", "[", "\"\\"", "]"}]}], "}"}], + "&"}], ",", + RowBox[{"FailureAction", "\[Rule]", "None"}]}], "]"}]}]}], "]"}]}], + "]"}]], "Input", + CellChangeTimes->{{3.7988438693775578`*^9, 3.798843905863542*^9}, { + 3.798843936904023*^9, 3.798844152996503*^9}, {3.79884587060196*^9, + 3.798845872353022*^9}, {3.798850285709024*^9, 3.798850315148416*^9}, { + 3.7988503981509867`*^9, 3.798850477647489*^9}, {3.7988505090406113`*^9, + 3.798850640786468*^9}, {3.798851488720934*^9, 3.798851489111849*^9}, { + 3.798851599643096*^9, 3.7988516328265057`*^9}, {3.7988516778531237`*^9, + 3.7988516795792294`*^9}, {3.798851720372983*^9, 3.798851726739883*^9}, { + 3.79885186335107*^9, 3.798851876583012*^9}, {3.798851907703927*^9, + 3.798851921871567*^9}, {3.798854492433896*^9, 3.7988544927843027`*^9}, { + 3.7991529523155527`*^9, 3.7991530923580437`*^9}, {3.7991547697151613`*^9, + 3.799154921332136*^9}}, + CellLabel-> + "In[101]:=",ExpressionUUID->"8fa0e622-17c9-4322-8a23-47f6be78237e"], + +Cell[BoxData["\<\"~/doc/research/thesis/data/essential/3d_ising.dat\"\>"], \ +"Output", + CellChangeTimes->{ + 3.799153093664613*^9, {3.799154875149214*^9, 3.799154881365782*^9}, + 3.7991549221679688`*^9}, + CellLabel-> + "Out[101]=",ExpressionUUID->"7523c26c-47db-48fc-8287-5bc490a68151"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/essential/2d_scaling.dat\>\"", ",", + "\[IndentingNewLine]", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"N", "[", "x", "]"}], ",", "\[ScriptCapitalY]2D1"}], "}"}], + ",", + RowBox[{"{", + RowBox[{"x", ",", + RowBox[{"1", " ", + SuperscriptBox["10", + RowBox[{"-", "3"}]]}], ",", + RowBox[{"1", " ", + SuperscriptBox["10", "3"]}], ",", + RowBox[{"5", " ", + SuperscriptBox["10", + RowBox[{"-", "3"}]]}]}], "}"}]}], "]"}]}], "\[IndentingNewLine]", + "]"}], ";"}]], "Input", + CellChangeTimes->{{3.799266816993194*^9, 3.7992669408163443`*^9}, { + 3.7992670106668262`*^9, 3.7992670119294443`*^9}, {3.799267056082964*^9, + 3.799267073890523*^9}}, + CellLabel-> + "In[743]:=",ExpressionUUID->"e7416b1b-3c26-4748-93e4-25106db611f0"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"4001.1427973680047`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 743, 280, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{3.79926694102295*^9, 3.799267014180273*^9, + 3.799267074204031*^9}, + CellLabel-> + "During evaluation of \ +In[743]:=",ExpressionUUID->"5b628f0e-020e-47c8-8f76-d7f7a203fbc0"] +}, Open ]], + +Cell[CellGroupData[{ + +Cell[BoxData[ + RowBox[{ + RowBox[{"Export", "[", + RowBox[{ + "\"\<~/doc/research/thesis/data/essential/3d_scaling.dat\>\"", ",", + "\[IndentingNewLine]", + RowBox[{"Table", "[", + RowBox[{ + RowBox[{"{", + RowBox[{ + RowBox[{"N", "[", + RowBox[{"Y", "/", "B3D"}], "]"}], ",", + RowBox[{"SetPrecision", "[", + RowBox[{"\[ScriptCapitalY]3D1", ",", "40"}], "]"}]}], "}"}], ",", + RowBox[{"{", + RowBox[{"Y", ",", + RowBox[{"1", " ", + SuperscriptBox["10", + RowBox[{"-", "5"}]]}], ",", + RowBox[{"1", " ", + SuperscriptBox["10", "0"]}], ",", + RowBox[{"5", " ", + SuperscriptBox["10", + RowBox[{"-", "5"}]]}]}], "}"}]}], "]"}]}], "\[IndentingNewLine]", + "]"}], ";"}]], "Input", + CellChangeTimes->{{3.799266816993194*^9, 3.7992669408163443`*^9}, { + 3.7992670106668262`*^9, 3.7992670119294443`*^9}, {3.799268304857831*^9, + 3.799268313569353*^9}, {3.7992683536177*^9, 3.799268357194031*^9}, { + 3.799268670920945*^9, 3.799268671727648*^9}, {3.7992687748262157`*^9, + 3.799268777889553*^9}, {3.799268877973468*^9, 3.7992689004675703`*^9}, { + 3.799268967437495*^9, 3.799268968852703*^9}, {3.799269278164113*^9, + 3.79926929046101*^9}}, + CellLabel-> + "In[817]:=",ExpressionUUID->"1723dcdb-16db-4547-8a63-d03d2086b047"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"100026.8634927516`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 817, 365, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799269285028339*^9, 3.799269291553422*^9}}, + CellLabel-> + "During evaluation of \ +In[817]:=",ExpressionUUID->"f684eb2d-978b-4605-9038-261c479894c8"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"16689.3493873234`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 817, 366, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799269285028339*^9, 3.799269291565754*^9}}, + CellLabel-> + "During evaluation of \ +In[817]:=",ExpressionUUID->"2673cef9-0b95-4995-a6bf-3c54ac659590"], + +Cell[BoxData[ + TemplateBox[{ + "General", "munfl", + "\"\\!\\(\\*RowBox[{\\\"Exp\\\", \\\"[\\\", RowBox[{\\\"-\\\", \ +\\\"9112.177494690824`\\\"}], \\\"]\\\"}]\\) is too small to represent as a \ +normalized machine number; precision may be lost.\"", 2, 817, 367, + 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799269285028339*^9, 3.7992692915761623`*^9}}, + CellLabel-> + "During evaluation of \ +In[817]:=",ExpressionUUID->"2076f548-7227-4440-b762-7d6c5322eb6b"], + +Cell[BoxData[ + TemplateBox[{ + "General", "stop", + "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"General\\\", \ +\\\"::\\\", \\\"munfl\\\"}], \\\"MessageName\\\"]\\) will be suppressed \ +during this calculation.\"", 2, 817, 368, 31360694400660719236, "Local"}, + "MessageTemplate"]], "Message", "MSG", + CellChangeTimes->{{3.799269285028339*^9, 3.799269291592904*^9}}, + CellLabel-> + "During evaluation of \ +In[817]:=",ExpressionUUID->"1ef62c18-bdc5-4e96-8287-e93b4d936480"] +}, Open ]] +}, Open ]] +}, +WindowSize->{956, 1056}, +WindowMargins->{{2, Automatic}, {2, Automatic}}, +FrontEndVersion->"12.1 for Linux x86 (64-bit) (March 14, 2020)", +StyleDefinitions->"Default.nb", +ExpressionUUID->"501938d6-4b67-4b16-8854-cee248d9d9c2" +] +(* End of Notebook Content *) + +(* Internal cache information *) +(*CellTagsOutline +CellTagsIndex->{} +*) +(*CellTagsIndex +CellTagsIndex->{} +*) +(*NotebookFileOutline +Notebook[{ +Cell[558, 20, 724, 21, 30, "Input",ExpressionUUID->"82258ef3-9786-4e81-9eb9-23ffb434650c"], +Cell[1285, 43, 2377, 47, 42, "Input",ExpressionUUID->"4e85b330-c6d0-441a-b9ab-33c4fb946885"], +Cell[3665, 92, 213, 4, 30, "Input",ExpressionUUID->"d642ee14-edd2-4f32-884a-8e6d16ad9042"], +Cell[3881, 98, 388, 11, 54, "Input",ExpressionUUID->"da98e2d0-3053-459a-aae4-74eba9aba312"], +Cell[4272, 111, 404, 12, 54, "Input",ExpressionUUID->"f626d5f0-6e81-49a0-be96-023721aa88c6"], +Cell[4679, 125, 276, 5, 30, "Input",ExpressionUUID->"e4bb0f34-88b3-4b5d-baa2-b4df36d9d986"], +Cell[4958, 132, 212, 4, 30, "Input",ExpressionUUID->"05e1c49c-4b48-44c7-b8ec-f4e8da2d8537"], +Cell[5173, 138, 792, 23, 51, "Input",ExpressionUUID->"b4e21948-5878-4ca8-a70d-e15e506e21d7"], +Cell[5968, 163, 228, 3, 33, "Input",ExpressionUUID->"4384315f-9759-420b-b9e1-734fdddd0405"], +Cell[6199, 168, 1649, 38, 127, "Input",ExpressionUUID->"9315b6d6-051d-40f9-b30f-b02bb6592851"], +Cell[7851, 208, 1556, 36, 147, "Input",ExpressionUUID->"e966b438-a404-4e3d-8cce-cc3cb0fb75c2"], +Cell[9410, 246, 921, 20, 55, "Input",ExpressionUUID->"8bef1756-135a-4486-93dd-174d30365812"], +Cell[CellGroupData[{ +Cell[10356, 270, 158, 3, 54, "Subsection",ExpressionUUID->"49b10533-63dc-4aa5-b5fa-23a9793f57d7"], +Cell[10517, 275, 2763, 57, 166, "Input",ExpressionUUID->"f1c6456e-0c2c-49fc-aaa2-7b850b85b806"], +Cell[CellGroupData[{ +Cell[13305, 336, 605, 17, 33, "Input",ExpressionUUID->"6dcfffa5-1ddc-4df4-b638-4baa1f546aac"], +Cell[13913, 355, 458, 8, 34, "Output",ExpressionUUID->"a00eb657-e980-4d32-abd6-8c80b87adcdf"] +}, Open ]], +Cell[CellGroupData[{ +Cell[14408, 368, 199, 4, 30, "Input",ExpressionUUID->"eb48c644-5dc7-431c-b6c5-e74629b2d7cb"], +Cell[14610, 374, 161, 3, 34, "Output",ExpressionUUID->"0eccd071-ef9b-46da-afb3-9a9cb0789ee0"] +}, Open ]], +Cell[CellGroupData[{ +Cell[14808, 382, 470, 10, 30, "Input",ExpressionUUID->"1b660ecc-2b2c-468f-ac07-b9f9d583ee81"], +Cell[15281, 394, 629, 10, 34, "Output",ExpressionUUID->"dafe9a4a-ee4d-4721-bc0a-dc10e3bbf956"] +}, Open ]], +Cell[15925, 407, 664, 15, 119, "Input",ExpressionUUID->"777df78d-4029-4ae4-9481-6ed62e53681e"], +Cell[16592, 424, 3773, 80, 515, "Input",ExpressionUUID->"7a50b246-a616-45b6-82c5-9b269a36e64f"], +Cell[CellGroupData[{ +Cell[20390, 508, 982, 27, 54, "Input",ExpressionUUID->"8a26f8de-f95e-4832-8ec8-348b1ad58608"], +Cell[21375, 537, 995, 30, 70, "Output",ExpressionUUID->"bcffce04-9c22-42ef-9db2-c957da368ba0"] +}, Open ]], +Cell[CellGroupData[{ +Cell[22407, 572, 765, 17, 79, "Input",ExpressionUUID->"7cea48f2-60ec-47f7-b7ad-332766dc7eab"], +Cell[23175, 591, 440, 9, 34, "Output",ExpressionUUID->"79d51ae5-606c-4941-b4e5-9821b7688520"] +}, Open ]], +Cell[CellGroupData[{ +Cell[23652, 605, 252, 7, 30, "Input",ExpressionUUID->"c0007b02-44f7-4fea-a08b-a30d94a9a9cf"], +Cell[23907, 614, 171, 3, 34, "Output",ExpressionUUID->"c0e47910-92e6-425e-9a14-a4edcf0ac223"] +}, Open ]], +Cell[CellGroupData[{ +Cell[24115, 622, 2813, 74, 171, "Input",ExpressionUUID->"0f743e4c-b934-4047-824f-9118b8241f11"], +Cell[26931, 698, 1038, 20, 100, "Message",ExpressionUUID->"dc7216b0-7063-4b23-a21f-d7faa13d3df8"], +Cell[27972, 720, 1036, 20, 100, "Message",ExpressionUUID->"d04ee94c-6e60-45cc-a006-5c7e3a020a26"], +Cell[29011, 742, 1036, 20, 100, "Message",ExpressionUUID->"641882e3-f811-41b6-8d28-21a125953a9b"], +Cell[30050, 764, 538, 12, 21, "Message",ExpressionUUID->"7431081a-9c55-4cde-9a4b-8c2790867ab3"], +Cell[30591, 778, 408, 7, 34, "Output",ExpressionUUID->"016d03f7-79e4-4384-b5d2-fa6ab1290706"] +}, Open ]], +Cell[CellGroupData[{ +Cell[31036, 790, 574, 12, 30, "Input",ExpressionUUID->"782da974-7b2d-41fb-80b3-c5b9ae72928a"], +Cell[31613, 804, 1166, 31, 69, "Output",ExpressionUUID->"bd6c707e-52cb-4803-b10d-03b5a109a7f1"] +}, Open ]], +Cell[32794, 838, 1219, 30, 97, "Input",ExpressionUUID->"e906386f-8b34-484b-a21d-2bfb5ede0c16"], +Cell[34016, 870, 171, 3, 30, "Input",ExpressionUUID->"15d8641a-f5e8-448f-b316-66015f59c3e6"], +Cell[CellGroupData[{ +Cell[34212, 877, 2131, 54, 218, "Input",ExpressionUUID->"f608ea82-1ded-4cf2-bd1f-900e70ed761a"], +Cell[36346, 933, 1106, 20, 39, "Message",ExpressionUUID->"de4f8f35-7e29-449a-af94-b7c4455e1ba9"], +Cell[37455, 955, 3248, 50, 139, "Message",ExpressionUUID->"9fb88e2e-e045-4c69-aa02-17edccf9ef24"], +Cell[40706, 1007, 1108, 20, 39, "Message",ExpressionUUID->"d6114e9f-4a2c-4598-bdeb-9bf91f91f992"], +Cell[41817, 1029, 1106, 20, 39, "Message",ExpressionUUID->"78e70b16-00f7-46bc-b72e-2c32191123d6"], +Cell[42926, 1051, 1072, 19, 21, "Message",ExpressionUUID->"cee37e76-569b-47ea-99a8-e946088f6d28"], +Cell[44001, 1072, 2413, 38, 96, "Message",ExpressionUUID->"11eeca04-0481-4df6-b5ca-5c56b1141e17"], +Cell[46417, 1112, 27284, 566, 241, "Output",ExpressionUUID->"eea760a8-cca6-4926-9535-8ad78a516589"] +}, Open ]], +Cell[CellGroupData[{ +Cell[73738, 1683, 282, 6, 30, "Input",ExpressionUUID->"2318596e-79a3-4757-92db-6dbc40672c71"], +Cell[74023, 1691, 12851, 305, 236, "Output",ExpressionUUID->"f009646b-1bd8-4671-9fbd-0177f292755f"] +}, Open ]], +Cell[CellGroupData[{ +Cell[86911, 2001, 321, 7, 30, "Input",ExpressionUUID->"006bbc42-4350-4701-916b-12c46a414c41"], +Cell[87235, 2010, 1421, 43, 60, "Output",ExpressionUUID->"ce5323a2-df69-4a10-b0ff-e0cc96b8dd81"] +}, Open ]], +Cell[CellGroupData[{ +Cell[88693, 2058, 2364, 57, 163, "Input",ExpressionUUID->"27eea9ee-2a5d-4f05-8734-d219fc426001"], +Cell[91060, 2117, 1428, 23, 34, "Output",ExpressionUUID->"4c1c7f2e-bd98-496f-9c19-5c2f5984d5e3"] +}, Open ]], +Cell[92503, 2143, 295, 7, 30, "Input",ExpressionUUID->"02602239-d318-4b4c-bca2-75a6959e28e9"], +Cell[CellGroupData[{ +Cell[92823, 2154, 587, 17, 30, "Input",ExpressionUUID->"74557ec2-7320-4358-b59b-b60f052605f6"], +Cell[93413, 2173, 310, 6, 34, "Output",ExpressionUUID->"5a4cb81a-c140-4840-ab25-fcd2c3822afe"] +}, Open ]], +Cell[CellGroupData[{ +Cell[93760, 2184, 377, 12, 30, "Input",ExpressionUUID->"f8217cbb-10df-45d3-9a07-59dd1f45b1fb"], +Cell[94140, 2198, 170, 3, 34, "Output",ExpressionUUID->"5d02ac43-daee-40d0-9a12-41e167c67112"] +}, Open ]], +Cell[CellGroupData[{ +Cell[94347, 2206, 2388, 48, 119, "Input",ExpressionUUID->"4487704b-a752-4a59-8e06-93cfdcf2efa9"], +Cell[96738, 2256, 613, 13, 39, "Message",ExpressionUUID->"af143904-6bad-49cc-81b2-d5813c06694c"], +Cell[97354, 2271, 613, 13, 39, "Message",ExpressionUUID->"bda19aa9-38d2-4d49-b9ef-45065324db9e"] +}, Open ]], +Cell[CellGroupData[{ +Cell[98004, 2289, 284, 7, 30, "Input",ExpressionUUID->"4fc284a7-247e-45dd-9def-6554eb5075ad"], +Cell[98291, 2298, 224, 5, 50, "Output",ExpressionUUID->"9f08c712-4807-4c97-a78d-e18a03a1e257"] +}, Open ]], +Cell[CellGroupData[{ +Cell[98552, 2308, 3236, 76, 222, "Input",ExpressionUUID->"2144109e-e31f-4853-8a4e-968e7e738bbc"], +Cell[101791, 2386, 24688, 531, 240, "Output",ExpressionUUID->"930a595f-57e4-464c-b24c-663c5a8d1583"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[126528, 2923, 157, 3, 54, "Subsection",ExpressionUUID->"cdc09ea8-ade6-4896-b063-562be8bbbca8"], +Cell[126688, 2928, 1398, 39, 188, "Input",ExpressionUUID->"3f50dd46-6eed-4256-a18b-bff8375d74be"], +Cell[128089, 2969, 3721, 79, 515, "Input",ExpressionUUID->"3016f397-5fed-4501-9480-60f289d4409c"], +Cell[131813, 3050, 2136, 42, 317, "Input",ExpressionUUID->"8e932e8b-6094-421f-be13-f54f0ea7fcd5"], +Cell[CellGroupData[{ +Cell[133974, 3096, 876, 24, 54, "Input",ExpressionUUID->"7c7d52e8-9a9d-43ff-bbe2-4f27f6eeb21c"], +Cell[134853, 3122, 537, 16, 66, "Output",ExpressionUUID->"e17c4ecd-af4c-4510-9e0f-3d8a67b46fca"] +}, Open ]], +Cell[CellGroupData[{ +Cell[135427, 3143, 913, 26, 78, "Input",ExpressionUUID->"1a5fa001-90f8-4da6-8fb2-8b6d7fe8e912"], +Cell[136343, 3171, 1026, 33, 130, "Output",ExpressionUUID->"9e4a322a-0ddf-4014-b126-533b97933a88"] +}, Open ]], +Cell[CellGroupData[{ +Cell[137406, 3209, 432, 9, 30, "Input",ExpressionUUID->"62a40c9d-3e4b-46d9-bc10-e88f469ddd29"], +Cell[137841, 3220, 422, 12, 57, "Output",ExpressionUUID->"6a3e1571-605d-43ce-a5a8-e9a2f95473f9"] +}, Open ]], +Cell[CellGroupData[{ +Cell[138300, 3237, 602, 15, 55, "Input",ExpressionUUID->"9fa92faa-52c1-45d2-8e27-518aaa573a8c"], +Cell[138905, 3254, 295, 8, 34, "Output",ExpressionUUID->"b0161c8d-785f-4827-8130-565dc8db072c"] +}, Open ]], +Cell[CellGroupData[{ +Cell[139237, 3267, 929, 22, 57, "Input",ExpressionUUID->"8160d41e-e2fe-4501-a0cc-4bee02a6013e"], +Cell[140169, 3291, 300, 8, 34, "Output",ExpressionUUID->"13cd32c8-68c6-45b7-bc63-b9747c47c3ee"] +}, Open ]], +Cell[CellGroupData[{ +Cell[140506, 3304, 328, 8, 30, "Input",ExpressionUUID->"a7a65a08-ed8f-4d4c-aa84-764c1a0c8397"], +Cell[140837, 3314, 444, 14, 60, "Output",ExpressionUUID->"3c5c8bff-600d-4f06-b9e0-1f7429d3853c"] +}, Open ]], +Cell[CellGroupData[{ +Cell[141318, 3333, 878, 24, 75, "Input",ExpressionUUID->"34573480-ca9c-4dd3-9863-c874ae134baa"], +Cell[142199, 3359, 2262, 67, 139, "Output",ExpressionUUID->"c744e84f-18d9-4a00-8e63-7ff209f5284d"] +}, Open ]], +Cell[CellGroupData[{ +Cell[144498, 3431, 1240, 33, 97, "Input",ExpressionUUID->"1d942ea3-e06f-4802-a1f4-80cbfb2569f4"], +Cell[145741, 3466, 10741, 256, 254, "Output",ExpressionUUID->"0c32b6e7-3db8-4183-b1b8-7c7bfe7be933"] +}, Open ]], +Cell[CellGroupData[{ +Cell[156519, 3727, 1626, 48, 126, "Input",ExpressionUUID->"5a73b7a0-3266-4057-91ba-556ec07c67a6"], +Cell[158148, 3777, 247, 6, 34, "Output",ExpressionUUID->"c1e36ac2-9ed0-4061-8eff-483bd2738794"] +}, Open ]], +Cell[CellGroupData[{ +Cell[158432, 3788, 157, 4, 30, "Input",ExpressionUUID->"518ad87e-2135-4bdc-81e8-f64963b6cc8a"], +Cell[158592, 3794, 172, 3, 34, "Output",ExpressionUUID->"a31d08bd-9546-4d07-9e9c-39e4a31f17fa"] +}, Open ]], +Cell[CellGroupData[{ +Cell[158801, 3802, 195, 5, 48, "Input",ExpressionUUID->"7fa25fc6-5fd6-422a-8392-69fcf55fea7f"], +Cell[158999, 3809, 176, 4, 50, "Output",ExpressionUUID->"6af3b82a-1aa4-44e0-ba1a-dd75a2b5a6b8"] +}, Open ]], +Cell[CellGroupData[{ +Cell[159212, 3818, 265, 6, 30, "Input",ExpressionUUID->"d1054e1d-9bd0-4e36-8d5b-92a10b933d77"], +Cell[159480, 3826, 175, 4, 50, "Output",ExpressionUUID->"d6117ff3-1da2-4298-bd05-50d86ede4c8b"] +}, Open ]], +Cell[CellGroupData[{ +Cell[159692, 3835, 1053, 30, 45, "Input",ExpressionUUID->"7426b534-401e-4fa0-8061-9439eb1d91b5"], +Cell[160748, 3867, 2126, 66, 105, "Output",ExpressionUUID->"2b0dedfb-4a98-4ce1-8f61-5ef56663e799"] +}, Open ]], +Cell[CellGroupData[{ +Cell[162911, 3938, 3918, 91, 193, "Input",ExpressionUUID->"3c6ba91d-5ea8-49a9-a282-1f4fe8806c1f"], +Cell[166832, 4031, 513, 11, 39, "Message",ExpressionUUID->"7eb26435-2b38-4b12-b4f5-bca15030e52a"], +Cell[167348, 4044, 513, 11, 39, "Message",ExpressionUUID->"04dae847-246f-4d3a-9785-2dcefdaceb3a"], +Cell[167864, 4057, 513, 11, 39, "Message",ExpressionUUID->"2daee2ea-701e-47f5-aa8b-8dbe7c385982"], +Cell[168380, 4070, 486, 10, 21, "Message",ExpressionUUID->"190652fb-dcfa-4580-a6ac-5929fb170980"], +Cell[168869, 4082, 1183, 18, 34, "Output",ExpressionUUID->"c76396f7-a60e-40ab-b8bb-e4e5c7660888"] +}, Open ]], +Cell[CellGroupData[{ +Cell[170089, 4105, 574, 12, 30, "Input",ExpressionUUID->"6ad09553-4096-44f3-8878-5e1b2555e37a"], +Cell[170666, 4119, 1166, 31, 69, "Output",ExpressionUUID->"10921878-5a5a-476d-9cbd-f74ffe76bf1a"] +}, Open ]], +Cell[CellGroupData[{ +Cell[171869, 4155, 1290, 30, 97, "Input",ExpressionUUID->"d4f87218-54e0-4d31-b509-81565bccad31"], +Cell[173162, 4187, 513, 11, 62, "Message",ExpressionUUID->"6efb8af4-daa0-4ab6-9d57-3e4d5cc9c062"], +Cell[173678, 4200, 515, 11, 62, "Message",ExpressionUUID->"4284467a-dedf-4ce4-bb79-9253d21b10cb"], +Cell[174196, 4213, 513, 11, 62, "Message",ExpressionUUID->"4630b694-2c1e-4a8c-8dab-02f89234bfc1"], +Cell[174712, 4226, 479, 10, 21, "Message",ExpressionUUID->"2d3707d0-e9ee-4ee9-a34c-6f27a99f5851"] +}, Open ]], +Cell[CellGroupData[{ +Cell[175228, 4241, 1347, 36, 150, "Input",ExpressionUUID->"cbc25c50-284c-4414-a76e-6bac202a2b72"], +Cell[176578, 4279, 884, 17, 39, "Message",ExpressionUUID->"19d00149-0c5a-419d-8994-16b8b6bdac6f"], +Cell[177465, 4298, 3222, 50, 163, "Message",ExpressionUUID->"fe5b2653-305d-493b-9071-dfe6c02cae4f"], +Cell[180690, 4350, 885, 17, 39, "Message",ExpressionUUID->"84fb567a-d1da-4aca-a98b-df0dd92be423"], +Cell[181578, 4369, 885, 17, 39, "Message",ExpressionUUID->"dbe0086c-7068-4d42-a52e-1862a7538583"], +Cell[182466, 4388, 852, 16, 21, "Message",ExpressionUUID->"fe6031e7-bd8a-4fdb-b0d2-58dcce9f2337"], +Cell[183321, 4406, 3292, 52, 146, "Message",ExpressionUUID->"7d90c214-2857-4c0b-8a5b-8ffbc832ca3e"], +Cell[186616, 4460, 34242, 699, 226, "Output",ExpressionUUID->"3cf4a07a-fed0-4044-b199-e9842ae674c7"] +}, Open ]], +Cell[CellGroupData[{ +Cell[220895, 5164, 3469, 70, 206, "Input",ExpressionUUID->"78a8ace5-821d-4d27-b2d7-d226876ff9fe"], +Cell[224367, 5236, 1630, 25, 34, "Output",ExpressionUUID->"a03c15e1-df0a-4565-a778-0eea92ee7344"] +}, Open ]], +Cell[CellGroupData[{ +Cell[226034, 5266, 524, 16, 33, "Input",ExpressionUUID->"aee1692a-103c-499c-bab0-06e242ce4783"], +Cell[226561, 5284, 5000, 101, 238, "Output",ExpressionUUID->"45c68f1f-afe1-43f1-adde-36fe41dfe61e"] +}, Open ]], +Cell[231576, 5388, 1824, 37, 75, "Input",ExpressionUUID->"d9b69c96-1d8e-4618-8be3-d41d2612def5"], +Cell[CellGroupData[{ +Cell[233425, 5429, 217, 4, 30, "Input",ExpressionUUID->"e6b303b9-7d8c-4eed-b0e1-3aee993f2985"], +Cell[233645, 5435, 190, 4, 34, "Output",ExpressionUUID->"7345dbd1-f06a-40f2-9ad9-985c3c04cab9"] +}, Open ]], +Cell[CellGroupData[{ +Cell[233872, 5444, 5218, 127, 365, "Input",ExpressionUUID->"be4115a5-fb4b-4996-ad0a-1dbaa8b4dc69"], +Cell[239093, 5573, 37270, 750, 226, "Output",ExpressionUUID->"a786cd8f-99d1-4200-9de1-dcfde6d2aa4a"] +}, Open ]], +Cell[CellGroupData[{ +Cell[276400, 6328, 2616, 75, 250, "Input",ExpressionUUID->"d78d8e45-ddcc-4f90-827a-9b1f2bd45e93"], +Cell[279019, 6405, 14742, 298, 234, "Output",ExpressionUUID->"250dc79e-ac81-49b3-bf39-24a3546a0952"] +}, Open ]], +Cell[CellGroupData[{ +Cell[293798, 6708, 399, 11, 33, "Input",ExpressionUUID->"5d351909-4645-464e-813a-59d5c13efedd"], +Cell[294200, 6721, 564, 18, 69, "Output",ExpressionUUID->"b1890e13-2fa3-4855-9d6a-c951799c96be"] +}, Open ]], +Cell[CellGroupData[{ +Cell[294801, 6744, 1077, 29, 33, "Input",ExpressionUUID->"08a9e4e5-d4f3-4d1a-9a97-38433efd9217"], +Cell[295881, 6775, 4515, 132, 222, "Output",ExpressionUUID->"7bbfb4bf-e341-47e6-b5c8-ca918afda2ab"] +}, Open ]], +Cell[CellGroupData[{ +Cell[300433, 6912, 400, 11, 49, "Input",ExpressionUUID->"14d31467-478f-475c-ab49-80323ec026bf"], +Cell[300836, 6925, 343, 9, 54, "Output",ExpressionUUID->"4aab1022-c97b-4b7a-88a2-85667c337d47"] +}, Open ]] +}, Closed]], +Cell[CellGroupData[{ +Cell[301228, 6940, 161, 3, 38, "Subsection",ExpressionUUID->"7280a427-4161-4a29-9095-3b4597dddbfb"], +Cell[301392, 6945, 930, 30, 75, "Input",ExpressionUUID->"7b62b818-ac58-492a-bc0d-40e12d261bb1"], +Cell[CellGroupData[{ +Cell[302347, 6979, 561, 14, 53, "Input",ExpressionUUID->"bfec9b16-3425-4418-8891-3503a1b9a26a"], +Cell[302911, 6995, 518, 16, 60, "Output",ExpressionUUID->"475abb7b-d038-4afa-bb3f-fc5e2e84764b"] +}, Open ]], +Cell[CellGroupData[{ +Cell[303466, 7016, 2419, 65, 228, "Input",ExpressionUUID->"aea7d906-5afc-4a15-b000-27d193b862d8"], +Cell[305888, 7083, 941, 21, 82, "Output",ExpressionUUID->"d4aed958-42b4-44bb-bf7a-c8a57b26231b"] +}, Open ]], +Cell[306844, 7107, 2374, 68, 197, "Input",ExpressionUUID->"2a603e3e-a825-4743-82a4-a7106868ad2f"], +Cell[309221, 7177, 2019, 58, 198, "Input",ExpressionUUID->"e3fa7126-bda4-48f3-879c-bb44b9ae71fd"], +Cell[CellGroupData[{ +Cell[311265, 7239, 762, 19, 53, "Input",ExpressionUUID->"41f2f4cf-a5be-4145-8664-24934d077dd3"], +Cell[312030, 7260, 554, 11, 34, "Output",ExpressionUUID->"e8964620-4d01-412a-9f77-0db331bf6906"] +}, Open ]], +Cell[312599, 7274, 243, 5, 30, "Input",ExpressionUUID->"7625b2fc-0acc-473e-a425-29f248935ea5"], +Cell[312845, 7281, 1125, 30, 143, "Input",ExpressionUUID->"0caa96d3-26a4-4b90-9dd5-132b84d3bcff"], +Cell[CellGroupData[{ +Cell[313995, 7315, 2427, 65, 210, "Input",ExpressionUUID->"ba11040c-f390-4eac-baad-a494f12f7898"], +Cell[316425, 7382, 493, 11, 39, "Message",ExpressionUUID->"69bbbd2c-4308-4387-a3c0-54fd0275e292"], +Cell[316921, 7395, 490, 11, 39, "Message",ExpressionUUID->"5bde3b5d-ce77-4d48-afec-601929d01097"], +Cell[317414, 7408, 494, 11, 39, "Message",ExpressionUUID->"45f0fae8-4bdc-4a3c-b591-ab21c82d1ecb"], +Cell[317911, 7421, 458, 10, 21, "Message",ExpressionUUID->"c824cd52-3104-4070-a4a3-d4122d493b9d"] +}, Open ]], +Cell[CellGroupData[{ +Cell[318406, 7436, 1613, 41, 172, "Input",ExpressionUUID->"70a2b2a9-8154-4972-a106-cc2749585214"], +Cell[320022, 7479, 958, 18, 39, "Message",ExpressionUUID->"08dcb388-99a2-4c93-b4ce-f6979e221cc3"], +Cell[320983, 7499, 4270, 64, 145, "Message",ExpressionUUID->"4b5c4395-7b69-4b28-b177-443250824799"], +Cell[325256, 7565, 960, 18, 21, "Message",ExpressionUUID->"cf8cbf8f-ab6b-4cf8-96fc-a4cf76d20c4c"], +Cell[326219, 7585, 958, 18, 21, "Message",ExpressionUUID->"2e0a71a1-1dc6-47ce-b483-6513909b70a3"], +Cell[327180, 7605, 925, 17, 21, "Message",ExpressionUUID->"0f0f7aae-ce82-4661-bee1-5b2626fe8b61"], +Cell[328108, 7624, 3658, 56, 126, "Message",ExpressionUUID->"1d2daaac-4a39-47bb-96c4-6a07697df78b"], +Cell[331769, 7682, 138702, 2418, 226, "Output",ExpressionUUID->"c9133887-e37a-411f-905e-80cc89d82b81"] +}, Open ]], +Cell[470486, 10103, 1528, 45, 52, "Input",ExpressionUUID->"029c50a5-aec2-42c8-ac11-3a4858720a4d"], +Cell[CellGroupData[{ +Cell[472039, 10152, 628, 14, 30, "Input",ExpressionUUID->"454b880c-47eb-4e4d-8978-3de860e692a7"], +Cell[472670, 10168, 316, 6, 34, "Output",ExpressionUUID->"cba38efa-fcdc-4bb8-942d-1e8a7104663e"] +}, Open ]], +Cell[473001, 10177, 267, 6, 30, "Input",ExpressionUUID->"f9f845e9-c36f-4e5a-bfe9-292fc44831d1"], +Cell[CellGroupData[{ +Cell[473293, 10187, 2451, 64, 107, "Input",ExpressionUUID->"df638158-aa8b-4fba-b5d3-00f11ac33898"], +Cell[475747, 10253, 1237, 33, 91, "Output",ExpressionUUID->"23c1b6c7-ab06-4221-bdce-dc59bf15e488"] +}, Open ]], +Cell[476999, 10289, 2399, 67, 131, "Input",ExpressionUUID->"c0c46965-f82b-4e8b-88ed-f4f28f2c67b6"], +Cell[479401, 10358, 2032, 55, 102, "Input",ExpressionUUID->"8adb6e30-20f5-45cb-9c55-4ec95d9bb1e5"], +Cell[CellGroupData[{ +Cell[481458, 10417, 886, 21, 30, "Input",ExpressionUUID->"82226aa9-8b56-41bc-a924-e2b08acd3ef1"], +Cell[482347, 10440, 763, 14, 34, "Output",ExpressionUUID->"8b88c908-da54-4063-a248-e83bf5464ee1"] +}, Open ]], +Cell[483125, 10457, 1215, 32, 76, "Input",ExpressionUUID->"237d7286-580d-4ed0-8a35-0ecabe3963ad"], +Cell[CellGroupData[{ +Cell[484365, 10493, 2552, 67, 129, "Input",ExpressionUUID->"0abc4e78-2b2b-44c2-b76e-2756938af114"], +Cell[486920, 10562, 494, 11, 21, "Message",ExpressionUUID->"d5e12713-0108-40d9-ab51-55f3f3cc5e76"], +Cell[487417, 10575, 493, 11, 21, "Message",ExpressionUUID->"00de938a-94f9-45ea-9088-62843a9a493f"], +Cell[487913, 10588, 493, 11, 21, "Message",ExpressionUUID->"295fa1ec-86a9-4d76-b506-82d387a4b171"], +Cell[488409, 10601, 458, 10, 21, "Message",ExpressionUUID->"ba543359-6764-408c-9c9e-fd4261aef828"] +}, Open ]], +Cell[CellGroupData[{ +Cell[488904, 10616, 2668, 67, 126, "Input",ExpressionUUID->"ba8964ad-1f29-4021-8973-9b17293caeb3"], +Cell[491575, 10685, 1326, 23, 21, "Message",ExpressionUUID->"2dd699f1-8e13-4516-9a3b-94be0b77af32"], +Cell[492904, 10710, 2208, 35, 89, "Message",ExpressionUUID->"048f8f30-b4bd-4b7a-8c04-81815146eb59"], +Cell[495115, 10747, 1871, 32, 71, "Message",ExpressionUUID->"5b9502a7-8a5b-4717-89cd-745cff8faddd"], +Cell[496989, 10781, 4251, 63, 121, "Message",ExpressionUUID->"4f6b3384-f093-44d4-8e9b-4c713449ca2e"], +Cell[501243, 10846, 1295, 22, 21, "Message",ExpressionUUID->"e60795cf-67d6-41ad-8827-2e5407299305"], +Cell[502541, 10870, 1326, 23, 21, "Message",ExpressionUUID->"a8d095ae-2cc3-4dab-ab2e-16050fe76f30"], +Cell[503870, 10895, 1326, 23, 21, "Message",ExpressionUUID->"b80aaa28-cd90-493d-ab93-5f4473e90377"], +Cell[505199, 10920, 1291, 22, 21, "Message",ExpressionUUID->"8e890619-0fd5-48db-87ea-ca5bdbd7894b"], +Cell[506493, 10944, 354325, 5939, 293, 334718, 5618, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"31f3dd4d-68a9-4998-b515-ec7c6494ad58"] +}, Open ]] +}, Open ]], +Cell[CellGroupData[{ +Cell[860867, 16889, 155, 3, 54, "Subsection",ExpressionUUID->"ee3f8335-dfbb-447d-b74d-ca724911a8de"], +Cell[CellGroupData[{ +Cell[861047, 16896, 2975, 58, 229, "Input",ExpressionUUID->"51366330-d057-48f8-9a4f-bea2e8c09b22"], +Cell[864025, 16956, 258, 5, 34, "Output",ExpressionUUID->"95752517-d63e-4f25-8ca7-4f575fb4e411"] +}, Open ]], +Cell[CellGroupData[{ +Cell[864320, 16966, 3675, 76, 295, "Input",ExpressionUUID->"19dd7b18-acbf-4e21-a357-947e4c32b028"], +Cell[867998, 17044, 207, 3, 34, "Output",ExpressionUUID->"ade98982-6822-4f69-8455-4b9b0b008429"] +}, Open ]], +Cell[CellGroupData[{ +Cell[868242, 17052, 2960, 58, 229, "Input",ExpressionUUID->"8fa0e622-17c9-4322-8a23-47f6be78237e"], +Cell[871205, 17112, 288, 6, 34, "Output",ExpressionUUID->"7523c26c-47db-48fc-8287-5bc490a68151"] +}, Open ]], +Cell[CellGroupData[{ +Cell[871530, 17123, 956, 27, 81, "Input",ExpressionUUID->"e7416b1b-3c26-4748-93e4-25106db611f0"], +Cell[872489, 17152, 536, 12, 39, "Message",ExpressionUUID->"5b628f0e-020e-47c8-8f76-d7f7a203fbc0"] +}, Open ]], +Cell[CellGroupData[{ +Cell[873062, 17169, 1346, 33, 105, "Input",ExpressionUUID->"1723dcdb-16db-4547-8a63-d03d2086b047"], +Cell[874411, 17204, 513, 11, 39, "Message",ExpressionUUID->"f684eb2d-978b-4605-9038-261c479894c8"], +Cell[874927, 17217, 512, 11, 39, "Message",ExpressionUUID->"2673cef9-0b95-4995-a6bf-3c54ac659590"], +Cell[875442, 17230, 515, 11, 39, "Message",ExpressionUUID->"2076f548-7227-4440-b762-7d6c5322eb6b"], +Cell[875960, 17243, 480, 10, 21, "Message",ExpressionUUID->"1ef62c18-bdc5-4e96-8287-e93b4d936480"] +}, Open ]] +}, Open ]] +} +] +*) + -- cgit v1.2.3-54-g00ecf