summaryrefslogtreecommitdiff
diff options
context:
space:
mode:
-rw-r--r--IsingScalingFunction.wl11
-rw-r--r--IsingScalingFunctionExamples.nb22354
2 files changed, 8632 insertions, 13733 deletions
diff --git a/IsingScalingFunction.wl b/IsingScalingFunction.wl
index 8545567..4069a5d 100644
--- a/IsingScalingFunction.wl
+++ b/IsingScalingFunction.wl
@@ -25,6 +25,9 @@ DScriptFPlusMinusDξList::usage =
DScriptF0DηList::usage =
"DScriptF0DηList computes the first m derivatives of the scaling function F_0."
+DScriptF0Dη::usage =
+ "DScriptF0Dη computes the mth derivative of the scaling function F_0."
+
DScriptMCasDξList::usage = "Computes the first m derivatives of the scaling function M given by Caselle et al."
uf::usage = "uf computes the singular free energy u_f."
@@ -45,6 +48,8 @@ PrepareArgument::usage = "Converts scaling function data into appropriate argume
θ0Cas::usage = ""
+h0Cas::usage = ""
+
gsCas::usage = ""
Φs::usage = ""
@@ -252,7 +257,7 @@ DScriptF0Dη[params__][m_, θ_] := Last[DScriptF0DηList[params][m, θ]]
DufDut[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[uh[θ0, gs][R, θ]]^(2 / Δ - m / Δ) DScriptF0Dη[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Log[uh[θ0, gs][R, θ]^2] / (8 π Δ) Derivative[m][Function[utp, utp^2]][ut[R, θ]]
-DufDuh[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[ut[R, θ]]^(2-m Δ) DScriptFPlusMinusDξ[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Derivative[m][Identity][θ] ut[R, θ]^2 / (8 π) Log[ut[R, θ]^2]
+DufDuh[θ0_, θYL_, B_, C0_, CYL_, Gs_, gs_][m_][R_, θ_] := m! RealAbs[ut[R, θ]]^(2-m Δ) DScriptFPlusMinusDξ[θ0, θYL, B, C0, CYL, Gs, gs][m, θ] + Derivative[m][1&][θ] ut[R, θ]^2 / (8 π) Log[ut[R, θ]^2]
ruleB[θ0_, gs_] := (2 * OverlineS / π) * (- g[θ0, gs]'[θ0] / t[θ0]^Δ)
@@ -265,8 +270,8 @@ h0Cas := a b ρ /. {
b -> (-c4/c2^3)^(1/2),
ρ -> 2.00881
} /. {
- c2->Ghs[[3]]2!,
- c4->Ghs[[5]]["Value"]4!
+ c2->Ghs[[3]] 2!,
+ c4->Ghs[[5]]["Value"] 4!
}
gsCas := h0Cas * {
diff --git a/IsingScalingFunctionExamples.nb b/IsingScalingFunctionExamples.nb
index 1eda301..c0d868d 100644
--- a/IsingScalingFunctionExamples.nb
+++ b/IsingScalingFunctionExamples.nb
@@ -10,10 +10,10 @@
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
-NotebookDataLength[ 944999, 17080]
-NotebookOptionsPosition[ 934897, 16909]
-NotebookOutlinePosition[ 935294, 16925]
-CellTagsIndexPosition[ 935251, 16922]
+NotebookDataLength[ 618512, 11974]
+NotebookOptionsPosition[ 612895, 11877]
+NotebookOutlinePosition[ 613291, 11893]
+CellTagsIndexPosition[ 613248, 11890]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -24,61 +24,1949 @@ Cell[BoxData[
RowBox[{"NotebookDirectory", "[", "]"}], "]"}], ";"}]], "Input",
CellChangeTimes->{{3.857727143976652*^9, 3.857727184451297*^9}, {
3.872827316271285*^9, 3.8728273233104467`*^9}},
- CellLabel->"In[2]:=",ExpressionUUID->"cb2d1f0e-8921-4d60-a098-a74598dfa8f6"],
-
-Cell[CellGroupData[{
+ CellLabel->"In[1]:=",ExpressionUUID->"cb2d1f0e-8921-4d60-a098-a74598dfa8f6"],
Cell[BoxData[
RowBox[{"<<", "IsingScalingFunction`"}]], "Input",
CellChangeTimes->{{3.857727185315662*^9, 3.857727193227276*^9}},
- CellLabel->"In[17]:=",ExpressionUUID->"ebe5eb4e-2760-42b5-9d9b-c166d8a7c2b8"],
+ CellLabel->
+ "In[132]:=",ExpressionUUID->"ebe5eb4e-2760-42b5-9d9b-c166d8a7c2b8"],
+
+Cell[CellGroupData[{
+
+Cell["Checking Convergence", "Section",
+ CellChangeTimes->{{3.88717558687833*^9,
+ 3.8871755894618473`*^9}},ExpressionUUID->"c6615333-57fa-470a-9d07-\
+45b7998853ef"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"ListLogPlot", "[",
+ RowBox[{
+ RowBox[{"Abs", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"Rest", "@", "Gls"}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptFPlusMinusD\[Xi]\[Theta]0List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "10",
+ "]"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptFPlusMinusD\[Xi]\[Theta]0List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "10",
+ "]"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"DScriptMCasD\[Xi]List", "[",
+ RowBox[{"9", ",", "\[Theta]0Cas"}], "]"}],
+ RowBox[{"Table", "[",
+ RowBox[{
+ FractionBox[
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"m", "-", "1"}], ")"}], "!"}],
+ RowBox[{"m", "!"}]], ",",
+ RowBox[{"{",
+ RowBox[{"m", ",", "1", ",", "10"}], "}"}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "}"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<Numerics\>\"", ",",
+ "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = 2)\>\"", ",",
+ " ", "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = \
+6)\>\"", ",", " ",
+ "\"\<Casselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "m", ",",
+ "\"\<\!\(\*SuperscriptBox[SubscriptBox[\"\[ScriptCapitalF]\", \"-\"], \
+RowBox[{\"(\", StyleBox[\"m\",FontSlant->\"Italic\"], \")\"}]]\)\>\""}],
+ "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
+ CellChangeTimes->{{3.857749647216098*^9, 3.8577496994157143`*^9}, {
+ 3.857749922049673*^9, 3.85774992576917*^9}, {3.8577499613439693`*^9,
+ 3.857749992122797*^9}, 3.85775012053415*^9, {3.857750706878583*^9,
+ 3.857750707403603*^9}, {3.857751644877963*^9, 3.857751657226074*^9}, {
+ 3.8577517214782124`*^9, 3.857751736522636*^9}, {3.857752278605008*^9,
+ 3.857752279401206*^9}, {3.857752310485083*^9, 3.857752324517762*^9}, {
+ 3.857752360898025*^9, 3.857752363157537*^9}, {3.857753041193503*^9,
+ 3.85775304373606*^9}, {3.857753117795965*^9, 3.8577531179827213`*^9}, {
+ 3.85775377848352*^9, 3.8577537891272383`*^9}, {3.8577539046194077`*^9,
+ 3.857753911831979*^9}, {3.8577541823791513`*^9, 3.857754190311756*^9}, {
+ 3.85775442603514*^9, 3.857754438089511*^9}, {3.857755022546867*^9,
+ 3.857755042653729*^9}, {3.857790310738358*^9, 3.857790311353793*^9}, {
+ 3.857792220388947*^9, 3.857792221589129*^9}, {3.887175734000527*^9,
+ 3.887175745176688*^9}, {3.887175776777956*^9, 3.887175890987341*^9}, {
+ 3.887175927630155*^9, 3.887175941140204*^9}, {3.887175972652753*^9,
+ 3.887175999053248*^9}, {3.8871760552145844`*^9, 3.887176082574828*^9}, {
+ 3.8871762157611847`*^9, 3.8871762198011923`*^9}, {3.887177053185808*^9,
+ 3.887177056768643*^9}, {3.887177274797546*^9, 3.887177275893218*^9}, {
+ 3.887182861536953*^9, 3.887182887361492*^9}},
+ CellLabel->"In[50]:=",ExpressionUUID->"43cfc45b-1fff-4120-afd4-982fd6195a7d"],
Cell[BoxData[
TemplateBox[{
- "InverseCoordinates", "shdw",
- "\"Symbol \\!\\(\\*RowBox[{\\\"\\\\\\\"InverseCoordinates\\\\\\\"\\\"}]\\) \
-appears in multiple contexts \\!\\(\\*RowBox[{\\\"{\\\", \
-RowBox[{\\\"\\\\\\\"IsingScalingFunction`\\\\\\\"\\\", \\\",\\\", \
-\\\"\\\\\\\"Global`\\\\\\\"\\\"}], \\\"}\\\"}]\\); definitions in context \\!\
-\\(\\*RowBox[{\\\"\\\\\\\"IsingScalingFunction`\\\\\\\"\\\"}]\\) may shadow \
-or be shadowed by other definitions.\"", 2, 17, 2, 31921072673290221255,
- "Local", "IsingScalingFunction`InverseCoordinates"},
- "MessageTemplate2"]], "Message", "MSG",
- CellChangeTimes->{3.8846918415052834`*^9},
- CellLabel->
- "During evaluation of \
-In[17]:=",ExpressionUUID->"39e14237-1709-44ab-9f4f-4142bbd7896c"]
+ GraphicsBox[{{{{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{3., -3.2476887336074802`}, {3., -3.247688656415082}}],
+ LineBox[{{3., -3.247688656415082}, {3., -3.2476885792226895`}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{4., -2.682936452811683}, {4., -2.6829364235557143`}}],
+
+ LineBox[{{4., -2.6829364235557143`}, {
+ 4., -2.6829363942997464`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{5., -1.6934518408101742`}, {5., -1.6934517864279734`}}],
+
+ LineBox[{{5., -1.6934517864279734`}, {
+ 5., -1.6934517320457758`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{6., -0.41677183895602404`}, {6., -0.4167716872504016}}],
+ LineBox[{{6., -0.4167716872504016}, {6., -0.4167715355448022}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{7., 1.077614026885801}, {7., 1.077615048105556}}],
+ LineBox[{{7., 1.077615048105556}, {7., 1.0776160693242682`}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{8., 2.747270914255491}, {8., 2.7479117345273405`}}],
+ LineBox[{{8., 2.7479117345273405`}, {8., 2.7485521444115397`}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{9., 4.572130331909891}, {9., 4.572233685741827}}],
+ LineBox[{{9., 4.572233685741827}, {9., 4.572337028892852}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{10., 6.519147287940395}, {10., 6.520621127558696}}],
+ LineBox[{{10., 6.520621127558696}, {10., 6.522092798170153}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{11., 8.58110651715989}, {11., 8.582980931954241}}],
+ LineBox[{{11., 8.582980931954241}, {11., 8.584851839890053}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{12., 10.747207591575448`}, {12., 10.749355820113736`}}],
+
+ LineBox[{{12., 10.749355820113736`}, {12.,
+ 10.751499443656988`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{13., 13.005829561148378`}, {13., 13.008074231002201`}}],
+
+ LineBox[{{13., 13.008074231002201`}, {13.,
+ 13.010313873595706`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{14., 15.35237777756354}, {14., 15.354526006101828`}}],
+
+ LineBox[{{14., 15.354526006101828`}, {14.,
+ 15.35666962964508}}]}}}}, {{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{3., -3.2476885792226895`},
+ Offset[{3, 0}, {3., -3.2476885792226895`}]}, {{
+ 3., -3.2476885792226895`},
+ Offset[{-3, 0}, {3., -3.2476885792226895`}]}, {{
+ 3., -3.2476887336074802`},
+ Offset[{3, 0}, {3., -3.2476887336074802`}]}, {{
+ 3., -3.2476887336074802`},
+ Offset[{-3, 0}, {3., -3.2476887336074802`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{4., -2.6829363942997464`},
+ Offset[{3, 0}, {4., -2.6829363942997464`}]}, {{
+ 4., -2.6829363942997464`},
+ Offset[{-3, 0}, {4., -2.6829363942997464`}]}, {{
+ 4., -2.682936452811683},
+ Offset[{3, 0}, {4., -2.682936452811683}]}, {{
+ 4., -2.682936452811683},
+ Offset[{-3, 0}, {4., -2.682936452811683}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{5., -1.6934517320457758`},
+ Offset[{3, 0}, {5., -1.6934517320457758`}]}, {{
+ 5., -1.6934517320457758`},
+ Offset[{-3, 0}, {5., -1.6934517320457758`}]}, {{
+ 5., -1.6934518408101742`},
+ Offset[{3, 0}, {5., -1.6934518408101742`}]}, {{
+ 5., -1.6934518408101742`},
+ Offset[{-3, 0}, {5., -1.6934518408101742`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{6., -0.4167715355448022},
+ Offset[{3, 0}, {6., -0.4167715355448022}]}, {{
+ 6., -0.4167715355448022},
+ Offset[{-3, 0}, {6., -0.4167715355448022}]}, {{
+ 6., -0.41677183895602404`},
+ Offset[{3, 0}, {6., -0.41677183895602404`}]}, {{
+ 6., -0.41677183895602404`},
+ Offset[{-3, 0}, {6., -0.41677183895602404`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{7., 1.0776160693242682`},
+ Offset[{3, 0}, {7., 1.0776160693242682`}]}, {{7.,
+ 1.0776160693242682`},
+ Offset[{-3, 0}, {7., 1.0776160693242682`}]}, {{7.,
+ 1.077614026885801},
+ Offset[{3, 0}, {7., 1.077614026885801}]}, {{7.,
+ 1.077614026885801},
+ Offset[{-3, 0}, {7., 1.077614026885801}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{8., 2.7485521444115397`},
+ Offset[{3, 0}, {8., 2.7485521444115397`}]}, {{8.,
+ 2.7485521444115397`},
+ Offset[{-3, 0}, {8., 2.7485521444115397`}]}, {{8.,
+ 2.747270914255491},
+ Offset[{3, 0}, {8., 2.747270914255491}]}, {{8.,
+ 2.747270914255491},
+ Offset[{-3, 0}, {8., 2.747270914255491}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{9., 4.572337028892852},
+ Offset[{3, 0}, {9., 4.572337028892852}]}, {{9.,
+ 4.572337028892852},
+ Offset[{-3, 0}, {9., 4.572337028892852}]}, {{9.,
+ 4.572130331909891},
+ Offset[{3, 0}, {9., 4.572130331909891}]}, {{9.,
+ 4.572130331909891},
+ Offset[{-3, 0}, {9., 4.572130331909891}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{10., 6.522092798170153},
+ Offset[{3, 0}, {10., 6.522092798170153}]}, {{10.,
+ 6.522092798170153},
+ Offset[{-3, 0}, {10., 6.522092798170153}]}, {{10.,
+ 6.519147287940395},
+ Offset[{3, 0}, {10., 6.519147287940395}]}, {{10.,
+ 6.519147287940395},
+ Offset[{-3, 0}, {10., 6.519147287940395}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{11., 8.584851839890053},
+ Offset[{3, 0}, {11., 8.584851839890053}]}, {{11.,
+ 8.584851839890053},
+ Offset[{-3, 0}, {11., 8.584851839890053}]}, {{11.,
+ 8.58110651715989},
+ Offset[{3, 0}, {11., 8.58110651715989}]}, {{11.,
+ 8.58110651715989},
+ Offset[{-3, 0}, {11., 8.58110651715989}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{12., 10.751499443656988`},
+ Offset[{3, 0}, {12., 10.751499443656988`}]}, {{12.,
+ 10.751499443656988`},
+ Offset[{-3, 0}, {12., 10.751499443656988`}]}, {{12.,
+ 10.747207591575448`},
+ Offset[{3, 0}, {12., 10.747207591575448`}]}, {{12.,
+ 10.747207591575448`},
+ Offset[{-3, 0}, {12., 10.747207591575448`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{13., 13.010313873595706`},
+ Offset[{3, 0}, {13., 13.010313873595706`}]}, {{13.,
+ 13.010313873595706`},
+ Offset[{-3, 0}, {13., 13.010313873595706`}]}, {{13.,
+ 13.005829561148378`},
+ Offset[{3, 0}, {13., 13.005829561148378`}]}, {{13.,
+ 13.005829561148378`},
+ Offset[{-3, 0}, {13., 13.005829561148378`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{14., 15.35666962964508},
+ Offset[{3, 0}, {14., 15.35666962964508}]}, {{14.,
+ 15.35666962964508},
+ Offset[{-3, 0}, {14., 15.35666962964508}]}, {{14.,
+ 15.35237777756354},
+ Offset[{3, 0}, {14., 15.35237777756354}]}, {{14.,
+ 15.35237777756354},
+ Offset[{-3, 0}, {14., 15.35237777756354}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}}}}, {{{
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., 0.3058939805973386}, {2., -3.016888706538089}, {
+ 3., -3.247688656415082}, {4., -2.6829364235557143`}, {
+ 5., -1.6934517864279734`}, {6., -0.4167716872504016}, {7.,
+ 1.077615048105556}, {8., 2.7479117345273405`}, {9.,
+ 4.572233685741827}, {10., 6.520621127558696}, {11.,
+ 8.582980931954241}, {12., 10.749355820113736`}, {13.,
+ 13.008074231002201`}, {14., 15.354526006101828`}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., 0.3058939805971186}, {2., -3.0168887065353305`}, {
+ 3., -3.2150683102154654`}, {4., -2.572538454827262}, {
+ 5., -1.4892648280222789`}, {6., -0.1386048937927774}, {7.,
+ 1.3936280651903656`}, {8., 3.068229298025496}, {9.,
+ 4.86877207063148}, {10., 6.787701993282389}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., 0.3058939805973096}, {2., -3.0168887065293206`}, {
+ 3., -3.247688691772541}, {4., -2.68293641315294}, {
+ 5., -1.693451794998496}, {6., -0.41677165264981303`}, {7.,
+ 1.0779209886099572`}, {8., 2.751072258729848}, {9.,
+ 4.580918301921699}, {10., 6.559514133636299}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., 0.30713407270311166`}, {2., -3.067110308065294}, {
+ 3., -3.4304577212393763`}, {4., -3.0879090822971853`}, {
+ 5., -2.4123077494594973`}, {6., -1.5399609645024661`}, {
+ 7., -0.5375360276296015}, {8., 0.5571798344870343}, {9.,
+ 1.7206870273901242`}, {10., 2.937388810483148}}]}}}, {{}, {}}}, {
+ DisplayFunction -> Identity, GridLines -> {None, None}, DisplayFunction ->
+ Identity, DisplayFunction -> Identity, DisplayFunction -> Identity,
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["m", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*SuperscriptBox[SubscriptBox[\\\"\[ScriptCapitalF]\\\", \\\
+\"-\\\"], RowBox[{\\\"(\\\", StyleBox[\\\"m\\\",FontSlant->\\\"Italic\\\"], \
+\\\")\\\"}]]\\)\"", HoldForm], TraditionalForm]},
+ AxesOrigin -> {0., -4.900657053954936}, DisplayFunction :> Identity,
+ Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]],
+ Method -> {
+ "AxisPadding" -> Scaled[0.02], "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], "DefaultPlotStyle" -> {
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[1, 0.75, 0],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.647624, 0.37816, 0.614037],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.571589, 0.586483, 0.],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.915, 0.3325, 0.2125],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[
+ 0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
+ AbsoluteThickness[1.6]]}, "DomainPadding" -> Scaled[0.02],
+ "PointSizeFunction" -> "SmallPointSize", "RangePadding" ->
+ Scaled[0.05], "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" ->
+ True, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& )}},
+ PlotRange -> {{0., 14.}, {-4.900657053954936, 15.35666962964508}},
+ PlotRangeClipping -> True, PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.02],
+ Scaled[0.05]}}, Ticks -> {Automatic,
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0]}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"Numerics\"",
+ "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+2)\"", "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+6)\"", "\"Casselle \\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\
+\\!\\(\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\"al\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\
+\\\"Italic\\\"]\\)\""}, "PointLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"], Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ FontFamily -> "Arial"}, Background -> Automatic, StripOnInput ->
+ False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"PointLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",",
+ RowBox[{"Joined", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"False", ",", "False", ",", "False", ",", "False"}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{", "}"}]}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{
+ 3.85775236362393*^9, {3.857753041693356*^9, 3.857753064352551*^9}, {
+ 3.857753109883153*^9, 3.8577531212700233`*^9}, {3.857753778726769*^9,
+ 3.857753797688981*^9}, {3.85775390996132*^9, 3.8577539129626293`*^9}, {
+ 3.857753956594308*^9, 3.857753978345298*^9}, {3.857754182953856*^9,
+ 3.857754191065139*^9}, {3.857754422623551*^9, 3.857754438672948*^9}, {
+ 3.8577550257279997`*^9, 3.857755045295697*^9}, 3.8577563069226103`*^9,
+ 3.857790311770729*^9, 3.857790676280467*^9, 3.857791263968403*^9,
+ 3.857792222287586*^9, 3.858849787156363*^9, 3.87050364829076*^9,
+ 3.8871757582795773`*^9, 3.887175832439167*^9, 3.887175881031187*^9,
+ 3.8871759132706127`*^9, {3.887177050408825*^9, 3.887177079176489*^9},
+ 3.8871778469623938`*^9, 3.887182910688779*^9},
+ CellLabel->"Out[50]=",ExpressionUUID->"1e4ad944-e98e-4c7a-9635-ca69ead5609d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"N", "[",
+ RowBox[{"ListLogPlot", "[",
RowBox[{
- RowBox[{"{",
- RowBox[{"\[Gamma]", ",",
- SuperscriptBox["10",
- RowBox[{"-", "4"}]], ",",
- RowBox[{"1", "-",
- SuperscriptBox["10",
- RowBox[{"-", "4"}]]}], ",",
- SuperscriptBox["10",
- RowBox[{"-", "4"}]]}], "}"}], ",", "30"}], "]"}]], "Input",
- CellLabel->"In[45]:=",ExpressionUUID->"5918f2c5-d04a-41be-9074-a9d239e03bad"],
+ RowBox[{"Abs", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"Rest", "@", "\[CapitalPhi]s"}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptF0D\[Eta]List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"10", ",", "1"}], "]"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptF0D\[Eta]List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"10", ",", "1"}], "]"}]}]}], "\[IndentingNewLine]", "}"}]}],
+ ",", "\[IndentingNewLine]",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<Numerics\>\"", ",",
+ "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = 2)\>\"", ",",
+ " ", "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = \
+6)\>\""}], "}"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "m", ",",
+ "\"\<\!\(\*SuperscriptBox[SubscriptBox[\"\[ScriptCapitalF]\", \"0\"], \
+RowBox[{\"(\", StyleBox[\"m\",FontSlant->\"Italic\"], \")\"}]]\)\>\""}],
+ "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
+ CellChangeTimes->{{3.887176095335842*^9, 3.887176195096656*^9}, {
+ 3.887177268477648*^9, 3.887177312454509*^9}, {3.88717809517518*^9,
+ 3.887178096950481*^9}},
+ CellLabel->"In[48]:=",ExpressionUUID->"8fa1ecb3-1ecc-4bba-8fa1-06377280f14b"],
Cell[BoxData[
- RowBox[{"{",
+ TemplateBox[{
+ GraphicsBox[{{{{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{2., -2.199250858729474}, {2., -2.1992508587114377`}}],
+ LineBox[{{2., -2.1992508587114377`}, {2., -2.199250858693401}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{3., -4.108835370883289}, {3., -4.108835369665774}}],
+ LineBox[{{3., -4.108835369665774}, {3., -4.108835368448258}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{4., -8.23957016697712}, {4., -8.239569788186014}}],
+ LineBox[{{4., -8.239569788186014}, {4., -8.23956940939505}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{5., -7.57318515764723}, {5., -7.573184963114589}}],
+ LineBox[{{5., -7.573184963114589}, {5., -7.573184768581987}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{6., -8.473827235511466}, {6., -8.473822447718424}}],
+ LineBox[{{6., -8.473822447718424}, {6., -8.473817659948304}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{7., -10.012900713523315`}, {7., -10.012878401308493`}}],
+
+ LineBox[{{7., -10.012878401308493`}, {
+ 7., -10.012856089591494`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{8., -14.970693198120777`}, {8., -14.967523623359499`}}],
+ LineBox[{{8., -14.967523623359499`}, {8., -14.96436406306913}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{9., -12.356895535264757`}, {9., -12.354572653848617`}}],
+
+ LineBox[{{9., -12.354572653848617`}, {
+ 9., -12.352255155708255`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{10., -13.13241371325783}, {10., -13.127375919227873`}}],
+
+ LineBox[{{10., -13.127375919227873`}, {
+ 10., -13.122363377404328`}}]}}}}, {{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{2., -2.199250858693401},
+ Offset[{3, 0}, {2., -2.199250858693401}]}, {{
+ 2., -2.199250858693401},
+ Offset[{-3, 0}, {2., -2.199250858693401}]}, {{
+ 2., -2.199250858729474},
+ Offset[{3, 0}, {2., -2.199250858729474}]}, {{
+ 2., -2.199250858729474},
+ Offset[{-3, 0}, {2., -2.199250858729474}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{3., -4.108835368448258},
+ Offset[{3, 0}, {3., -4.108835368448258}]}, {{
+ 3., -4.108835368448258},
+ Offset[{-3, 0}, {3., -4.108835368448258}]}, {{
+ 3., -4.108835370883289},
+ Offset[{3, 0}, {3., -4.108835370883289}]}, {{
+ 3., -4.108835370883289},
+ Offset[{-3, 0}, {3., -4.108835370883289}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{4., -8.23956940939505},
+ Offset[{3, 0}, {4., -8.23956940939505}]}, {{
+ 4., -8.23956940939505},
+ Offset[{-3, 0}, {4., -8.23956940939505}]}, {{
+ 4., -8.23957016697712},
+ Offset[{3, 0}, {4., -8.23957016697712}]}, {{
+ 4., -8.23957016697712},
+ Offset[{-3, 0}, {4., -8.23957016697712}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{5., -7.573184768581987},
+ Offset[{3, 0}, {5., -7.573184768581987}]}, {{
+ 5., -7.573184768581987},
+ Offset[{-3, 0}, {5., -7.573184768581987}]}, {{
+ 5., -7.57318515764723},
+ Offset[{3, 0}, {5., -7.57318515764723}]}, {{
+ 5., -7.57318515764723},
+ Offset[{-3, 0}, {5., -7.57318515764723}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{6., -8.473817659948304},
+ Offset[{3, 0}, {6., -8.473817659948304}]}, {{
+ 6., -8.473817659948304},
+ Offset[{-3, 0}, {6., -8.473817659948304}]}, {{
+ 6., -8.473827235511466},
+ Offset[{3, 0}, {6., -8.473827235511466}]}, {{
+ 6., -8.473827235511466},
+ Offset[{-3, 0}, {6., -8.473827235511466}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{7., -10.012856089591494`},
+ Offset[{3, 0}, {7., -10.012856089591494`}]}, {{
+ 7., -10.012856089591494`},
+ Offset[{-3, 0}, {7., -10.012856089591494`}]}, {{
+ 7., -10.012900713523315`},
+ Offset[{3, 0}, {7., -10.012900713523315`}]}, {{
+ 7., -10.012900713523315`},
+ Offset[{-3, 0}, {7., -10.012900713523315`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{8., -14.96436406306913},
+ Offset[{3, 0}, {8., -14.96436406306913}]}, {{
+ 8., -14.96436406306913},
+ Offset[{-3, 0}, {8., -14.96436406306913}]}, {{
+ 8., -14.970693198120777`},
+ Offset[{3, 0}, {8., -14.970693198120777`}]}, {{
+ 8., -14.970693198120777`},
+ Offset[{-3, 0}, {8., -14.970693198120777`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{9., -12.352255155708255`},
+ Offset[{3, 0}, {9., -12.352255155708255`}]}, {{
+ 9., -12.352255155708255`},
+ Offset[{-3, 0}, {9., -12.352255155708255`}]}, {{
+ 9., -12.356895535264757`},
+ Offset[{3, 0}, {9., -12.356895535264757`}]}, {{
+ 9., -12.356895535264757`},
+ Offset[{-3, 0}, {9., -12.356895535264757`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{10., -13.122363377404328`},
+ Offset[{3, 0}, {10., -13.122363377404328`}]}, {{
+ 10., -13.122363377404328`},
+ Offset[{-3, 0}, {10., -13.122363377404328`}]}, {{
+ 10., -13.13241371325783},
+ Offset[{3, 0}, {10., -13.13241371325783}]}, {{
+ 10., -13.13241371325783},
+ Offset[{-3, 0}, {10., -13.13241371325783}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}}}}, {{{
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., -1.1431595731895612`}, {2., -2.1992508587114377`}, {
+ 3., -4.108835369665774}, {4., -8.239569788186014}, {
+ 5., -7.573184963114589}, {6., -8.473822447718424}, {
+ 7., -10.012878401308493`}, {8., -14.967523623359499`}, {
+ 9., -12.354572653848617`}, {10., -13.127375919227873`}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., -1.142336471413771}, {2., -2.1989962191985897`}, {
+ 3., -4.103810189060422}, {4., -8.065760593479503}, {
+ 5., -7.572071121129541}, {6., -8.412217606083276}, {
+ 7., -9.901326241951773}, {8., -14.355261061061876`}, {
+ 9., -12.066885002703703`}, {10., -12.97499027628151}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[{{1., -1.1431591915024921`}, {2., -2.199250198756966}, {
+ 3., -4.108834678398851}, {4., -8.239399371579477}, {
+ 5., -7.5732366791273495`}, {6., -8.47382080668392}, {
+ 7., -10.01266927712387}, {8., -14.940294452135808`}, {
+ 9., -12.353924318358052`}, {
+ 10., -13.127410732077774`}}]}}}, {{}, {}}}, {
+ DisplayFunction -> Identity, GridLines -> {None, None}, DisplayFunction ->
+ Identity, DisplayFunction -> Identity, DisplayFunction -> Identity,
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["m", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*SuperscriptBox[SubscriptBox[\\\"\[ScriptCapitalF]\\\", \\\
+\"0\\\"], RowBox[{\\\"(\\\", StyleBox[\\\"m\\\",FontSlant->\\\"Italic\\\"], \
+\\\")\\\"}]]\\)\"", HoldForm], TraditionalForm]},
+ AxesOrigin -> {0., -16.052840588323026`}, DisplayFunction :> Identity,
+ Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]],
+ Method -> {
+ "AxisPadding" -> Scaled[0.02], "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], "DefaultPlotStyle" -> {
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[1, 0.75, 0],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.647624, 0.37816, 0.614037],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.571589, 0.586483, 0.],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.915, 0.3325, 0.2125],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[
+ 0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
+ AbsoluteThickness[1.6]]}, "DomainPadding" -> Scaled[0.02],
+ "PointSizeFunction" -> "SmallPointSize", "RangePadding" ->
+ Scaled[0.05], "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" ->
+ True, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& )}},
+ PlotRange -> {{0., 10.}, {-16.052840588323026`, -1.142336471413771}},
+ PlotRangeClipping -> True, PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.02],
+ Scaled[0.05]}}, Ticks -> {Automatic,
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0]}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"Numerics\"",
+ "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+2)\"", "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+6)\""}, "PointLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"], Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ FontFamily -> "Arial"}, Background -> Automatic, StripOnInput ->
+ False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"PointLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",",
+ RowBox[{"Joined", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"False", ",", "False", ",", "False"}], "}"}]}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{", "}"}]}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{3.8871762120034847`*^9, 3.8871773104168453`*^9,
+ 3.88717753344375*^9, 3.887178350360724*^9},
+ CellLabel->"Out[48]=",ExpressionUUID->"b3456563-de2e-4cab-8de9-9936c2f54801"]
+}, Open ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"ListLogPlot", "[",
RowBox[{
- "\[Gamma]", ",", "0.0001`30.", ",",
- "0.9998999999999999999999999999999999999999999999999999999999`30.", ",",
- "0.0001`30."}], "}"}]], "Output",
- CellChangeTimes->{3.876370905881259*^9},
- CellLabel->"Out[45]=",ExpressionUUID->"63b8069b-8598-4446-9037-7d26eca13873"]
+ RowBox[{"Abs", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"Rest", "@", "Ghs"}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptFPlusMinusD\[Xi]List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"10", ",", "0"}], "]"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"Rest", "@",
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DScriptFPlusMinusD\[Xi]List", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"10", ",", "0"}], "]"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"DScriptMCasD\[Xi]List", "[",
+ RowBox[{"9", ",", "0"}], "]"}],
+ RowBox[{"Table", "[",
+ RowBox[{
+ FractionBox[
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"m", "-", "1"}], ")"}], "!"}],
+ RowBox[{"m", "!"}]], ",",
+ RowBox[{"{",
+ RowBox[{"m", ",", "1", ",", "10"}], "}"}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "}"}]}], ",", "\[IndentingNewLine]",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<Numerics\>\"", ",",
+ "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = 2)\>\"", ",",
+ " ", "\"\<Ours (\!\(\*StyleBox[\"n\",FontSlant->\"Italic\"]\) = \
+6)\>\"", ",", " ",
+ "\"\<Casselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "m", ",",
+ "\"\<\!\(\*SuperscriptBox[SubscriptBox[\"\[ScriptCapitalF]\", \"+\"], \
+RowBox[{\"(\", StyleBox[\"m\",FontSlant->\"Italic\"], \")\"}]]\)\>\""}],
+ "}"}]}]}], "\[IndentingNewLine]", "]"}]], "Input",
+ CellChangeTimes->{{3.857749647216098*^9, 3.8577496994157143`*^9}, {
+ 3.857749922049673*^9, 3.85774992576917*^9}, {3.8577499613439693`*^9,
+ 3.857749992122797*^9}, 3.85775012053415*^9, {3.857750706878583*^9,
+ 3.857750707403603*^9}, {3.857751644877963*^9, 3.857751657226074*^9}, {
+ 3.8577517214782124`*^9, 3.857751736522636*^9}, {3.857752278605008*^9,
+ 3.857752279401206*^9}, {3.857752310485083*^9, 3.857752324517762*^9}, {
+ 3.857752360898025*^9, 3.857752363157537*^9}, {3.857753041193503*^9,
+ 3.85775304373606*^9}, {3.857753117795965*^9, 3.8577531179827213`*^9}, {
+ 3.85775377848352*^9, 3.8577537891272383`*^9}, {3.8577539046194077`*^9,
+ 3.857753911831979*^9}, {3.8577541823791513`*^9, 3.857754190311756*^9}, {
+ 3.85775442603514*^9, 3.857754438089511*^9}, {3.857755022546867*^9,
+ 3.857755042653729*^9}, {3.857790310738358*^9, 3.857790311353793*^9}, {
+ 3.857792220388947*^9, 3.857792221589129*^9}, {3.887175734000527*^9,
+ 3.887175745176688*^9}, {3.887175776777956*^9, 3.887175890987341*^9}, {
+ 3.887175927630155*^9, 3.887175941140204*^9}, {3.887175972652753*^9,
+ 3.887175999053248*^9}, {3.8871760552145844`*^9, 3.887176082574828*^9}, {
+ 3.8871762157611847`*^9, 3.8871762198011923`*^9}, {3.887177053185808*^9,
+ 3.887177056768643*^9}, {3.887177274797546*^9, 3.887177275893218*^9}, {
+ 3.8871780781341352`*^9, 3.8871780927035418`*^9}, 3.8871829559006443`*^9},
+ CellLabel->"In[51]:=",ExpressionUUID->"98d70064-2bee-4c5b-a8fe-984577f41f88"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "N", "meprec",
+ "\"Internal precision limit $MaxExtraPrecision = \\!\\(\\*RowBox[{\\\"50.`\
+\\\"}]\\) reached while evaluating \\!\\(\\*RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"371382927287350339456845128427992\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]], \\\" \\\", \
+RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
+\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"114355882310899360521914666542829\\\", \\\" \\\", \
+SuperscriptBox[RowBox[{\\\"114\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"10\\\
+\", \\\"\[RightSkeleton]\\\"}], \\\"4503\\\"}], RowBox[{\\\"7\\\", \\\"/\\\", \
+\\\"8\\\"}]], \\\" \\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]], \\\" \\\", \\\"\
+\[Pi]\\\", \\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"-\
+\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\"]\\\"}]}], \
+RowBox[{\\\"107668955486287134775550584515499446643328\\\", \\\" \\\", \
+SuperscriptBox[\\\"2\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"12\\\"}]], \\\" \
+\\\", SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"3\\\", \\\"/\\\", \\\"4\\\
+\"}]], \\\" \\\", SuperscriptBox[\\\"Glaisher\\\", RowBox[{\\\"3\\\", \\\"/\\\
+\", \\\"2\\\"}]]}]]}], \\\")\\\"}]}], \
+RowBox[{\\\"1075985451139697449885706090335689\\\", \\\" \\\", \
+SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"4\\\"}]], \
+\\\" \\\", SuperscriptBox[\\\"\[Pi]\\\", \\\"2\\\"]}]]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"371382927287350339456845128427992\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
+RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]], \\\" \\\", \
+RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\"]\\\"}]}], \\\"+\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]}], \\\")\\\"}]}], \
+RowBox[{\\\"1075985451139697449885706090335689\\\", \\\" \\\", \
+SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"4\\\"}]], \
+\\\" \\\", SuperscriptBox[\\\"\[Pi]\\\", \\\"2\\\"]}]]}]\\).\"", 2, 51, 55,
+ 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.887178351227854*^9, 3.887182956896912*^9},
+ CellLabel->
+ "During evaluation of \
+In[51]:=",ExpressionUUID->"9b0aa616-8fe6-46d6-a9be-6d62ea62ac99"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "N", "meprec",
+ "\"Internal precision limit $MaxExtraPrecision = \\!\\(\\*RowBox[{\\\"50.`\
+\\\"}]\\) reached while evaluating \\!\\(\\*RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"371382927287350339456845128427992\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]], \\\" \\\", \
+RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\
+\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"114355882310899360521914666542829\\\", \\\" \\\", \
+SuperscriptBox[RowBox[{\\\"114\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"10\\\
+\", \\\"\[RightSkeleton]\\\"}], \\\"4503\\\"}], RowBox[{\\\"7\\\", \\\"/\\\", \
+\\\"8\\\"}]], \\\" \\\", SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]], \\\" \\\", \\\"\
+\[Pi]\\\", \\\" \\\", RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"-\
+\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\"]\\\"}]}], \
+RowBox[{\\\"107668955486287134775550584515499446643328\\\", \\\" \\\", \
+SuperscriptBox[\\\"2\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"12\\\"}]], \\\" \
+\\\", SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"3\\\", \\\"/\\\", \\\"4\\\
+\"}]], \\\" \\\", SuperscriptBox[\\\"Glaisher\\\", RowBox[{\\\"3\\\", \\\"/\\\
+\", \\\"2\\\"}]]}]]}], \\\")\\\"}]}], \
+RowBox[{\\\"1075985451139697449885706090335689\\\", \\\" \\\", \
+SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"4\\\"}]], \
+\\\" \\\", SuperscriptBox[\\\"\[Pi]\\\", \\\"2\\\"]}]]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"371382927287350339456845128427992\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
+RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]], \\\" \\\", \
+RowBox[{\\\"ExpIntegralEi\\\", \\\"[\\\", RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\"]\\\"}]}], \\\"+\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]}], \\\")\\\"}]}], \
+RowBox[{\\\"1075985451139697449885706090335689\\\", \\\" \\\", \
+SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"4\\\"}]], \
+\\\" \\\", SuperscriptBox[\\\"\[Pi]\\\", \\\"2\\\"]}]]}]\\).\"", 2, 51, 56,
+ 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.887178351227854*^9, 3.8871829569063053`*^9},
+ CellLabel->
+ "During evaluation of \
+In[51]:=",ExpressionUUID->"3cf38fe5-056b-4e76-a342-8e2c2b0786c0"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "N", "meprec",
+ "\"Internal precision limit $MaxExtraPrecision = \\!\\(\\*RowBox[{\\\"50.`\
+\\\"}]\\) reached while evaluating \\!\\(\\*RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"\
+46681463692889041973700532620906696296885587180818594561\\\", \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"371382927287350339456845128427992\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"4\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{SuperscriptBox[\\\"\[ExponentialE]\\\", RowBox[{\\\"Times\\\", \
+\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\
+\"}], \\\"]\\\"}]], \\\" \\\", RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"13\\\", \\\"\[RightSkeleton]\\\"}], \\\"[\\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
+\\\"}]}], \\\"-\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\")\\\"}]}], \
+RowBox[{\\\"1075985451139697449885706090335689\\\", \\\" \\\", \
+SuperscriptBox[\\\"189336221\\\", RowBox[{\\\"1\\\", \\\"/\\\", \\\"4\\\"}]], \
+\\\" \\\", SuperscriptBox[\\\"\[Pi]\\\", \\\"2\\\"]}]]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]]}], \\\")\\\"}]}], \
+\\\"383435814415399100830298627422256492275580379991986176\\\"]}], \\\"+\\\", \
+FractionBox[RowBox[{\\\"1995291215029551557786949\\\", \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]}], \\\"-\\\", \
+FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]], \\\"+\\\", RowBox[{\\\"12\\\", \\\" \\\", RowBox[{\\\
+\"(\\\", RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\
+\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"1\\\", \\\"\[RightSkeleton]\\\"}]]}], \\\"-\\\", FractionBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]]}], \
+\\\")\\\"}]}]}], \\\")\\\"}]}], \\\"104122350499534957937152\\\"]}]\\).\"", 2,
+ 51, 57, 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.887178351227854*^9, 3.8871829569141273`*^9},
+ CellLabel->
+ "During evaluation of \
+In[51]:=",ExpressionUUID->"9f39e826-00f7-402f-871b-4606e9158cd2"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "General", "stop",
+ "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"N\\\", \\\"::\\\", \
+\\\"meprec\\\"}], \\\"MessageName\\\"]\\) will be suppressed during this \
+calculation.\"", 2, 51, 58, 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{3.887178351227854*^9, 3.887182956920743*^9},
+ CellLabel->
+ "During evaluation of \
+In[51]:=",ExpressionUUID->"a67bf71d-de22-4a04-a00f-2a4e90ec18e4"],
+
+Cell[BoxData[
+ TemplateBox[{
+ GraphicsBox[{{{{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{4., 2.1203089445691155`}, {4., 2.1203089451690884`}}],
+ LineBox[{{4., 2.1203089451690884`}, {4., 2.120308945769061}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{6., 4.555653733134874}, {6., 4.555653838211157}}],
+ LineBox[{{6., 4.555653838211157}, {6., 4.555653943287428}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{8., 7.284539665889405}, {8., 7.28456024759707}}],
+ LineBox[{{8., 7.28456024759707}, {8., 7.284580828881137}}]}}, {
+ Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{10., 10.161573447047902`}, {10., 10.161650696951378`}}],
+
+ LineBox[{{10., 10.161650696951378`}, {10.,
+ 10.161727940887767`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{12., 13.124361380067}, {12., 13.126355398673866`}}],
+
+ LineBox[{{12., 13.126355398673866`}, {12.,
+ 13.128345449081875`}}]}}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]], {}, {
+ LineBox[{{14., 16.147654453199863`}, {14., 16.1573163641116}}],
+
+ LineBox[{{14., 16.1573163641116}, {14.,
+ 16.166885815127753`}}]}}}}, {{{Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{4., 2.120308945769061},
+ Offset[{3, 0}, {4., 2.120308945769061}]}, {{4.,
+ 2.120308945769061},
+ Offset[{-3, 0}, {4., 2.120308945769061}]}, {{4.,
+ 2.1203089445691155`},
+ Offset[{3, 0}, {4., 2.1203089445691155`}]}, {{4.,
+ 2.1203089445691155`},
+ Offset[{-3, 0}, {4., 2.1203089445691155`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{6., 4.555653943287428},
+ Offset[{3, 0}, {6., 4.555653943287428}]}, {{6.,
+ 4.555653943287428},
+ Offset[{-3, 0}, {6., 4.555653943287428}]}, {{6.,
+ 4.555653733134874},
+ Offset[{3, 0}, {6., 4.555653733134874}]}, {{6.,
+ 4.555653733134874},
+ Offset[{-3, 0}, {6., 4.555653733134874}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{8., 7.284580828881137},
+ Offset[{3, 0}, {8., 7.284580828881137}]}, {{8.,
+ 7.284580828881137},
+ Offset[{-3, 0}, {8., 7.284580828881137}]}, {{8.,
+ 7.284539665889405},
+ Offset[{3, 0}, {8., 7.284539665889405}]}, {{8.,
+ 7.284539665889405},
+ Offset[{-3, 0}, {8., 7.284539665889405}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{10., 10.161727940887767`},
+ Offset[{3, 0}, {10., 10.161727940887767`}]}, {{10.,
+ 10.161727940887767`},
+ Offset[{-3, 0}, {10., 10.161727940887767`}]}, {{10.,
+ 10.161573447047902`},
+ Offset[{3, 0}, {10., 10.161573447047902`}]}, {{10.,
+ 10.161573447047902`},
+ Offset[{-3, 0}, {10., 10.161573447047902`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{12., 13.128345449081875`},
+ Offset[{3, 0}, {12., 13.128345449081875`}]}, {{12.,
+ 13.128345449081875`},
+ Offset[{-3, 0}, {12., 13.128345449081875`}]}, {{12.,
+ 13.124361380067},
+ Offset[{3, 0}, {12., 13.124361380067}]}, {{12., 13.124361380067},
+ Offset[{-3, 0}, {12., 13.124361380067}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}, {Antialiasing -> False,
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ GeometricTransformationBox[
+ LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}],
+ GeometricTransformationBox[
+ LineBox[{{{14., 16.166885815127753`},
+ Offset[{3, 0}, {14., 16.166885815127753`}]}, {{14.,
+ 16.166885815127753`},
+ Offset[{-3, 0}, {14., 16.166885815127753`}]}, {{14.,
+ 16.147654453199863`},
+ Offset[{3, 0}, {14., 16.147654453199863`}]}, {{14.,
+ 16.147654453199863`},
+ Offset[{-3, 0}, {14., 16.147654453199863`}]}}], {{{1., 0.}, {0.,
+ 1.}}, {0., 0.}}]}}}}, {{{
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[{{2., 0.6126028894906074}, {4., 2.1203089451690884`}, {6.,
+ 4.555653838211157}, {8., 7.28456024759707}, {10.,
+ 10.161650696951378`}, {12., 13.126355398673866`}, {14.,
+ 16.1573163641116}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[{{2., 0.6126028894906093}, {4., 2.125551226398849}, {6.,
+ 4.569765668638038}, {8., 7.309210808612832}, {10.,
+ 10.196845411019185`}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[{{2., 0.6126028894906148}, {4., 2.1203089451602413`}, {6.,
+ 4.555653877221086}, {8., 7.284512472617333}, {10.,
+ 10.160831450583395`}}]}, {
+ Directive[
+ PointSize[0.012833333333333334`],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ PointBox[{{2., 0.6126028894906075}, {4., 2.1203076183853526`}, {6.,
+ 4.555652330600042}, {8., 7.284510465974837}, {10.,
+ 10.161378578451433`}}]}}}, {{}, {}}}, {
+ DisplayFunction -> Identity, GridLines -> {None, None}, DisplayFunction ->
+ Identity, DisplayFunction -> Identity, DisplayFunction -> Identity,
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["m", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*SuperscriptBox[SubscriptBox[\\\"\[ScriptCapitalF]\\\", \\\
+\"+\\\"], RowBox[{\\\"(\\\", StyleBox[\\\"m\\\",FontSlant->\\\"Italic\\\"], \
+\\\")\\\"}]]\\)\"", HoldForm], TraditionalForm]},
+ AxesOrigin -> {0., -0.6046080204606854}, DisplayFunction :> Identity,
+ Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}}, FrameTicks -> {{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]],
+ Method -> {
+ "AxisPadding" -> Scaled[0.02], "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], "DefaultPlotStyle" -> {
+ Directive[
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.528488, 0.470624, 0.701351],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.772079, 0.431554, 0.102387],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.363898, 0.618501, 0.782349],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[1, 0.75, 0],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.647624, 0.37816, 0.614037],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.571589, 0.586483, 0.],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.915, 0.3325, 0.2125],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[
+ 0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
+ AbsoluteThickness[1.6]],
+ Directive[
+ RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
+ AbsoluteThickness[1.6]]}, "DomainPadding" -> Scaled[0.02],
+ "PointSizeFunction" -> "SmallPointSize", "RangePadding" ->
+ Scaled[0.05], "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" ->
+ True, "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+ Identity[
+ Part[#, 1]],
+ Exp[
+ Part[#, 2]]}& )}},
+ PlotRange -> {{0., 14.}, {-0.6046080204606854, 16.166885815127753`}},
+ PlotRangeClipping -> True, PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.02],
+ Scaled[0.05]}}, Ticks -> {Automatic,
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ 15.954589770191003`, RotateLabel -> 0]}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"Numerics\"",
+ "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+2)\"", "\"Ours (\\!\\(\\*StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"]\\) = \
+6)\"", "\"Casselle \\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\
+\\!\\(\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\"al\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\
+\\\"Italic\\\"]\\)\""}, "PointLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ PointBox[
+ NCache[{
+ Scaled[{
+ Rational[1, 2],
+ Rational[1, 2]}]}, {
+ Scaled[{0.5, 0.5}]}]]}}}, AspectRatio -> Full,
+ ImageSize -> {10, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"], Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ FontFamily -> "Arial"}, Background -> Automatic, StripOnInput ->
+ False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"PointLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"PointSize", "[", "0.012833333333333334`", "]"}],
+ ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",",
+ RowBox[{"Joined", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"False", ",", "False", ",", "False", ",", "False"}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{", "}"}]}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{
+ 3.85775236362393*^9, {3.857753041693356*^9, 3.857753064352551*^9}, {
+ 3.857753109883153*^9, 3.8577531212700233`*^9}, {3.857753778726769*^9,
+ 3.857753797688981*^9}, {3.85775390996132*^9, 3.8577539129626293`*^9}, {
+ 3.857753956594308*^9, 3.857753978345298*^9}, {3.857754182953856*^9,
+ 3.857754191065139*^9}, {3.857754422623551*^9, 3.857754438672948*^9}, {
+ 3.8577550257279997`*^9, 3.857755045295697*^9}, 3.8577563069226103`*^9,
+ 3.857790311770729*^9, 3.857790676280467*^9, 3.857791263968403*^9,
+ 3.857792222287586*^9, 3.858849787156363*^9, 3.87050364829076*^9,
+ 3.8871757582795773`*^9, 3.887175832439167*^9, 3.887175881031187*^9,
+ 3.8871759132706127`*^9, {3.887177050408825*^9, 3.887177079176489*^9},
+ 3.8871778469623938`*^9, 3.88717835171142*^9, 3.887182957347884*^9},
+ CellLabel->"Out[51]=",ExpressionUUID->"03a49490-2ef8-446d-ba98-3e5c10e80cea"]
}, Open ]],
Cell[BoxData[
RowBox[{
- RowBox[{"data", "=",
+ RowBox[{"freeEnergyData", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
@@ -139,17 +2027,19 @@ Cell[BoxData[
3.876369997688293*^9, 3.876370007596018*^9}, {3.876370093855591*^9,
3.876370097827559*^9}, {3.876370373799559*^9, 3.87637037853475*^9}, {
3.876370465791544*^9, 3.876370497109497*^9}, {3.8763705296866293`*^9,
- 3.8763705300592623`*^9}, {3.87637087516536*^9, 3.876370917886569*^9}},
- CellLabel->"In[19]:=",ExpressionUUID->"ffc53174-430d-4e0b-b71f-902d34f687b7"],
+ 3.8763705300592623`*^9}, {3.87637087516536*^9, 3.876370917886569*^9}, {
+ 3.8871830446215487`*^9, 3.8871830462680683`*^9}},
+ CellLabel->"In[52]:=",ExpressionUUID->"ffc53174-430d-4e0b-b71f-902d34f687b7"],
Cell[BoxData[
RowBox[{
- RowBox[{"dataf", "=",
- RowBox[{"Interpolation", "/@", "data"}]}], ";"}]], "Input",
+ RowBox[{"freeEnergyDataInterpolation", "=",
+ RowBox[{"Interpolation", "/@", "freeEnergyData"}]}], ";"}]], "Input",
CellChangeTimes->{{3.876369897948588*^9, 3.876369916907255*^9}, {
3.876370456614004*^9, 3.87637045960681*^9}, {3.8763707444350023`*^9,
- 3.876370747760907*^9}},
- CellLabel->"In[20]:=",ExpressionUUID->"249e2bea-239f-4870-bccb-94af3730f0b6"],
+ 3.876370747760907*^9}, {3.8871830509234037`*^9, 3.887183054611264*^9}, {
+ 3.88718324727179*^9, 3.887183248687171*^9}},
+ CellLabel->"In[55]:=",ExpressionUUID->"249e2bea-239f-4870-bccb-94af3730f0b6"],
Cell[CellGroupData[{
@@ -165,9 +2055,9 @@ Cell[BoxData[
RowBox[{
RowBox[{"#", "[", "x", "]"}], "-",
RowBox[{
- RowBox[{"Last", "[", "dataf", "]"}], "[", "x", "]"}]}], "]"}],
- ")"}], "&"}], "/@",
- RowBox[{"Most", "[", "dataf", "]"}]}], "]"}], ",",
+ RowBox[{"Last", "[", "freeEnergyDataInterpolation", "]"}], "[",
+ "x", "]"}]}], "]"}], ")"}], "&"}], "/@",
+ RowBox[{"Most", "[", "freeEnergyDataInterpolation", "]"}]}], "]"}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "6"}], ",", "6"}], "}"}], ",",
@@ -185,8 +2075,8 @@ Cell[BoxData[
Italic\"], RowBox[{RowBox[{RowBox[{\"-\", \"1\"}], \"/\", \"\[Beta]\"}], \" \
\", \"\[Delta]\"}]]\)\>\"", ",",
"\"\<| \!\(\*SuperscriptBox[SubscriptBox[\"\[ScriptCapitalF]\", \
-\"0\"], RowBox[{\"(\", StyleBox[\"n\",FontSlant->\"Italic\"], \")\"}]]\) - \!\
-\(\*SuperscriptBox[SubscriptBox[\(\[ScriptCapitalF]\), \(0\)], \((6)\)]\) |\>\
+\"0\"], StyleBox[RowBox[{\"[\", \"n\", \"]\"}],FontSlant->\"Italic\"]]\) - \!\
+\(\*SuperscriptBox[SubscriptBox[\(\[ScriptCapitalF]\), \(0\)], \([6]\)]\) |\>\
\""}], "}"}]}], ",",
RowBox[{"LabelStyle", "->",
RowBox[{"{",
@@ -196,8 +2086,9 @@ Italic\"], RowBox[{RowBox[{RowBox[{\"-\", \"1\"}], \"/\", \"\[Beta]\"}], \" \
3.8763704278400583`*^9, 3.876370441157851*^9}, {3.876370738463645*^9,
3.876370807838629*^9}, {3.876371122391995*^9, 3.876371134526176*^9}, {
3.8763711865989513`*^9, 3.8763713519982843`*^9}, {3.8763718721351347`*^9,
- 3.876371879486059*^9}},
- CellLabel->"In[21]:=",ExpressionUUID->"a6d0fc76-cf0a-4234-9fe3-d57ae603ad2e"],
+ 3.876371879486059*^9}, {3.8871830602203217`*^9, 3.8871830720200863`*^9}, {
+ 3.887183263600458*^9, 3.887183269024135*^9}},
+ CellLabel->"In[57]:=",ExpressionUUID->"a6d0fc76-cf0a-4234-9fe3-d57ae603ad2e"],
Cell[BoxData[
TemplateBox[{
@@ -286,7 +2177,7 @@ ZEqiChjktOnpnSnpBJxuF6mefsUgY7rwsfx/CBibNRSxf88gZQ85DbRmEiCp
+axgTxeDNEkuHz2bQ4Dtq8Zj/j0Msv6u9UJ0LgE5R7nLTzkMcn1jTGddHgG6
nqzD8mMMMsQ/ZpV+AQG3eXbPnphikNoHl8ZvFhLwMepkatQsgxRzifOoLyJA
mnn5QP0ig2T6tayIFhPw//+H5MzXksQtJQT8D5MIPME=
- "]]}, Annotation[#, "Charting`Private`Tag$263674#1"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2320297#1"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -374,7 +2265,7 @@ VZlM6lDv7VSWBRuqSpuDT5cxKYlJVoqyDRuW2fOkXwGTuuN045vCRjbsaGGU
+jYm5WnUsFPIkQ27Kuo9oruYlHxtdfgCJzbkb+bMFfUwKYa4SswvYm6X0N3+
AbJe66jNRZvYYBaGnFWGmRQH/xvv7syGMwssJjx5TCrD0fZjG3FDyraclAkm
ldD89WKKCxvkV0TYVs0wqf0d/Tk1rmz4//Ms5ZYxlt3pxob/AxlbfUM=
- "]]}, Annotation[#, "Charting`Private`Tag$263674#2"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2320297#2"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -473,7 +2364,7 @@ iaDgvGjo/u/1BP2qgn1FcDgFVQ+TuPh+EvQU2xa2XmxR6vkT4xaCXr3x/L+Z
aApcyr85hrQT9MbiSqfReAqydvQvPusiaJHtlx7mX6JgrJ3rUW8fQf/+2fQo
6yIFG49LW0sNE3SiUif3Dzw+km3T9K5xgo4slJptvUJBdfzuO/HTBG0qZdnG
eZMCMckTWyrnCXpteOPyMHz9///PoJc3DDQeiKPgf1Ddh4M=
- "]]}, Annotation[#, "Charting`Private`Tag$263674#3"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2320297#3"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -614,7 +2505,7 @@ bCtKfs9C35QO8V3C5L6jj235+ImFnjQ+YgkdZODN7WvCc5tYKEoqOD+IR/qH
L+E7nV0sdPkNvq70mwGLfcqrlfpZKLLmdkmVvCmc5l825jnEQu1/e/hMxhl4
l7AhNWGMhXI8Ew/KE/3JLzmwqnqKhV4J7xXXfcnA////gEAjZdXpCQb+B2Kp
/2E=
- "]]}, Annotation[#, "Charting`Private`Tag$263674#4"]& ]}}, {}}, {
+ "]]}, Annotation[#, "Charting`Private`Tag$2320297#4"]& ]}}, {}}, {
DisplayFunction -> Identity,
Method -> {
"DefaultBoundaryStyle" -> Automatic,
@@ -669,10 +2560,10 @@ FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \
FormBox[
TagBox[
"\"| \\!\\(\\*SuperscriptBox[SubscriptBox[\\\"\[ScriptCapitalF]\\\", \
-\\\"0\\\"], RowBox[{\\\"(\\\", StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"], \
-\\\")\\\"}]]\\) - \
+\\\"0\\\"], StyleBox[RowBox[{\\\"[\\\", \\\"n\\\", \
+\\\"]\\\"}],FontSlant->\\\"Italic\\\"]]\\) - \
\\!\\(\\*SuperscriptBox[SubscriptBox[\\(\[ScriptCapitalF]\\), \\(0\\)], \
-\\((6)\\)]\\) |\"", HoldForm], TraditionalForm]},
+\\([6]\\)]\\) |\"", HoldForm], TraditionalForm]},
AxesOrigin -> {0, -25.205799457979644`},
CoordinatesToolOptions -> {"DisplayFunction" -> ({
Part[#, 1],
@@ -916,21 +2807,13 @@ FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \
3.876370721301976*^9, 3.876370808099616*^9}, {3.876371116142165*^9,
3.8763711352371187`*^9}, {3.87637122695619*^9, 3.8763712464846573`*^9}, {
3.87637134045012*^9, 3.8763713522979193`*^9}, 3.876371879846971*^9,
- 3.884692135165325*^9},
- CellLabel->"Out[21]=",ExpressionUUID->"a9b5bf87-e870-4cb1-a334-4610824736a2"]
+ 3.884692135165325*^9, {3.887183224363449*^9, 3.887183269387279*^9}},
+ CellLabel->"Out[57]=",ExpressionUUID->"a1a5856a-a28d-405e-8e1b-5efdfee445c7"]
}, Open ]],
Cell[BoxData[
RowBox[{
- RowBox[{"Export", "[",
- RowBox[{"\"\</tmp/pConvergence.pdf\>\"", ",", "pCovergence"}], "]"}],
- ";"}]], "Input",
- CellChangeTimes->{{3.876371882405683*^9, 3.876371903052721*^9}},
- CellLabel->"In[60]:=",ExpressionUUID->"52b4bca3-6c24-4ce4-a34e-5809b8f6180a"],
-
-Cell[BoxData[
- RowBox[{
- RowBox[{"data1", "=",
+ RowBox[{"magnetizationData", "=",
RowBox[{"Table", "[",
RowBox[{
RowBox[{"{",
@@ -993,17 +2876,19 @@ Cell[BoxData[
3.876370097827559*^9}, {3.876370373799559*^9, 3.87637037853475*^9}, {
3.876370465791544*^9, 3.876370497109497*^9}, {3.8763705296866293`*^9,
3.8763705300592623`*^9}, {3.87637087516536*^9, 3.876370917886569*^9}, {
- 3.87637139299862*^9, 3.8763714209705677`*^9}},
- CellLabel->"In[56]:=",ExpressionUUID->"22e15b10-be95-4312-870c-ebe3402ea67c"],
+ 3.87637139299862*^9, 3.8763714209705677`*^9}, {3.887183678121203*^9,
+ 3.887183686457292*^9}},
+ CellLabel->"In[58]:=",ExpressionUUID->"22e15b10-be95-4312-870c-ebe3402ea67c"],
Cell[BoxData[
RowBox[{
- RowBox[{"data1f", "=",
- RowBox[{"Interpolation", "/@", "data1"}]}], ";"}]], "Input",
+ RowBox[{"magnetizationDataInterpolation", "=",
+ RowBox[{"Interpolation", "/@", "magnetizationData"}]}], ";"}]], "Input",
CellChangeTimes->{{3.876369897948588*^9, 3.876369916907255*^9}, {
3.876370456614004*^9, 3.87637045960681*^9}, {3.8763707444350023`*^9,
- 3.876370747760907*^9}, {3.8763714277972183`*^9, 3.876371431900972*^9}},
- CellLabel->"In[57]:=",ExpressionUUID->"6e3ba380-2dbc-463d-8279-e42bb1e3c387"],
+ 3.876370747760907*^9}, {3.8763714277972183`*^9, 3.876371431900972*^9}, {
+ 3.887183690448813*^9, 3.887183699080945*^9}},
+ CellLabel->"In[59]:=",ExpressionUUID->"6e3ba380-2dbc-463d-8279-e42bb1e3c387"],
Cell[CellGroupData[{
@@ -1018,9 +2903,10 @@ Cell[BoxData[
RowBox[{
RowBox[{"#", "[", "x", "]"}], "-",
RowBox[{
- RowBox[{"Last", "[", "data1f", "]"}], "[", "x", "]"}]}], "]"}],
- ")"}], "&"}], "/@",
- RowBox[{"Most", "[", "data1f", "]"}]}], "]"}], ",",
+ RowBox[{"Last", "[", "magnetizationDataInterpolation", "]"}], "[",
+ "x", "]"}]}], "]"}], ")"}], "&"}], "/@",
+ RowBox[{"Most", "[", "magnetizationDataInterpolation", "]"}]}], "]"}],
+ ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "6"}], ",", "6"}], "}"}], ",",
@@ -1037,10 +2923,10 @@ Cell[BoxData[
\",FontSlant->\"Italic\"]\)\!\(\*SuperscriptBox[StyleBox[\"h\",FontSlant->\"\
Italic\"], RowBox[{RowBox[{RowBox[{\"-\", \"1\"}], \"/\", \"\[Beta]\"}], \" \
\", \"\[Delta]\"}]]\)\>\"", ",",
- "\"\<| \!\(\*SuperscriptBox[SubscriptBox[\"\[ScriptCapitalF]\", \"0\"], \
-RowBox[{\"(\", StyleBox[\"n\",FontSlant->\"Italic\"], \")\"}]]\) - \
-\!\(\*SuperscriptBox[SubscriptBox[\(\[ScriptCapitalF]\), \(0\)], \((6)\)]\) |\
-\>\""}], "}"}]}], ",",
+ "\"\<| \!\(\*SubscriptBox[\(\[ScriptCapitalF]\), \
+\(0\)]\)\!\(\*SuperscriptBox[\"'\", StyleBox[RowBox[{\"[\", \"n\", \
+\"]\"}],FontSlant->\"Italic\"]]\) - \!\(\*SubscriptBox[\(\[ScriptCapitalF]\), \
+\(0\)]\)\!\(\*SuperscriptBox[\('\), \([6]\)]\) |\>\""}], "}"}]}], ",",
RowBox[{"LabelStyle", "->",
RowBox[{"{",
RowBox[{"Black", ",",
@@ -1049,8 +2935,8 @@ RowBox[{\"(\", StyleBox[\"n\",FontSlant->\"Italic\"], \")\"}]]\) - \
3.8763704278400583`*^9, 3.876370441157851*^9}, {3.876370738463645*^9,
3.876370807838629*^9}, {3.876371122391995*^9, 3.876371134526176*^9}, {
3.8763711865989513`*^9, 3.8763713519982843`*^9}, {3.87637143608066*^9,
- 3.876371440221603*^9}},
- CellLabel->"In[58]:=",ExpressionUUID->"965d5a6e-a5d2-4e2f-8234-02ac11e44315"],
+ 3.876371440221603*^9}, {3.887183707042214*^9, 3.88718373222613*^9}},
+ CellLabel->"In[60]:=",ExpressionUUID->"965d5a6e-a5d2-4e2f-8234-02ac11e44315"],
Cell[BoxData[
TemplateBox[{
@@ -1212,7 +3098,7 @@ eKqJt2DisyhTea3cqq0/6Dg8vZf33DdRZgPvWz7Wn3QUUX2fqtUqyvwVEKuK
LXQ8/bn6qGuHKDM+MOSJWhsdE00GljK6RZmW/FNn0/7QUdORakQZFmVGDEfo
JHTS0Yt197TZuCiz/9w1ulwXHWsCj0cFTosyhbsLfyd201GcuL6/bF6Ueb30
KZ9iLx3///86JvPVKu6IPjr+D05eNpg=
- "]]}, Annotation[#, "Charting`Private`Tag$1241108#1"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2620620#1"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -1364,7 +3250,7 @@ L981ClPPXbL8tbMaXD2mHb3bh8L0ybZ2KD+nBp96j+309qcw3YcsYn6cV4Oj
4ppvs3e3U5hCDc9USvzVwK7sh4V3N4X5jfk07OstNXh5ZGTldT+Fqc2/klRx
Ww12ulMPbR6jMA3PDGllBqhBIFlv1nKKwuyq25wXFqgGtRFWCRGzFGbx2rXu
3kFqICXjubdikcJ8WyvNHhesBv//exXzxWjFwawQNfgfSt7a1g==
- "]]}, Annotation[#, "Charting`Private`Tag$1241108#2"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2620620#2"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -1519,7 +3405,7 @@ OWaJwA8aq3nHtZz+QAZKMl6/1G+hsfiD0wYNghl4sqz6sG8bjRVwrDVnbQgD
0w72L2R10VgewgNaUTcYONq25FlvH411J/Cg1iHKuh4KpvLDNJZK76vAX9Tz
1zm3T1mO0VjnX51uv3SLgTXhRx6HT1Hvnzulf/oOA1et8dpdMUtjOZi/aNQI
Y+D//x/Gerq6f/lHyv8HHOr1Jw==
- "]]}, Annotation[#, "Charting`Private`Tag$1241108#3"]& ],
+ "]]}, Annotation[#, "Charting`Private`Tag$2620620#3"]& ],
TagBox[{
Directive[
Opacity[1.],
@@ -1681,7 +3567,7 @@ vK8Of56YzvOCre0EFaWro7XdjwFH333dG9hNUK5X91kluDIgZ/fIcmE/QRU+
3eHTdoABE90cj4eGsX6LmF6rPBlg6Cu7U+YfQfnk8H387xwDIlm3zDpOEhSL
1br1Kr4M+Ba7Py12lqD8rxxKD3FngKS0//aaRXy/qZWlwR4M+P/fF6k1sEVS
AD//f6I0RVc=
- "]]}, Annotation[#, "Charting`Private`Tag$1241108#4"]& ]}}, {}}, {
+ "]]}, Annotation[#, "Charting`Private`Tag$2620620#4"]& ]}}, {}}, {
DisplayFunction -> Identity,
Method -> {
"DefaultBoundaryStyle" -> Automatic,
@@ -1735,11 +3621,11 @@ FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \
TraditionalForm],
FormBox[
TagBox[
- "\"| \\!\\(\\*SuperscriptBox[SubscriptBox[\\\"\[ScriptCapitalF]\\\", \
-\\\"0\\\"], RowBox[{\\\"(\\\", StyleBox[\\\"n\\\",FontSlant->\\\"Italic\\\"], \
-\\\")\\\"}]]\\) - \
-\\!\\(\\*SuperscriptBox[SubscriptBox[\\(\[ScriptCapitalF]\\), \\(0\\)], \
-\\((6)\\)]\\) |\"", HoldForm], TraditionalForm]},
+ "\"| \\!\\(\\*SubscriptBox[\\(\[ScriptCapitalF]\\), \\(0\\)]\\)\\!\\(\
+\\*SuperscriptBox[\\\"'\\\", StyleBox[RowBox[{\\\"[\\\", \\\"n\\\", \
+\\\"]\\\"}],FontSlant->\\\"Italic\\\"]]\\) - \\!\\(\\*SubscriptBox[\\(\
+\[ScriptCapitalF]\\), \\(0\\)]\\)\\!\\(\\*SuperscriptBox[\\('\\), \
+\\([6]\\)]\\) |\"", HoldForm], TraditionalForm]},
AxesOrigin -> {0, -24.462826314536354`},
CoordinatesToolOptions -> {"DisplayFunction" -> ({
Part[#, 1],
@@ -1982,109 +3868,72 @@ FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \
3.876370068782353*^9, {3.87637043091245*^9, 3.87637044257585*^9}, {
3.876370721301976*^9, 3.876370808099616*^9}, {3.876371116142165*^9,
3.8763711352371187`*^9}, {3.87637122695619*^9, 3.8763712464846573`*^9}, {
- 3.87637134045012*^9, 3.8763713522979193`*^9}, 3.8763718090898647`*^9},
- CellLabel->"Out[58]=",ExpressionUUID->"6660f0cb-7c8c-4df5-9146-056350f78fc0"]
-}, Open ]],
-
-Cell[BoxData[
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"0", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"0", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}], "}"}]}], "\[IndentingNewLine]", "}"}]}], ",",
-
- RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}]}], "\[IndentingNewLine]",
- "]"}]], "Input",
- CellChangeTimes->{{3.876369742606814*^9,
- 3.876369749518669*^9}},ExpressionUUID->"3f75c1e0-258b-4769-8308-\
-40547e5bc66d"],
+ 3.87637134045012*^9, 3.8763713522979193`*^9}, 3.8763718090898647`*^9,
+ 3.887183948573832*^9},
+ CellLabel->"Out[60]=",ExpressionUUID->"2782289e-0500-4f20-8ce9-6bd7b1629e9c"]
+}, Open ]]
+}, Closed]],
Cell[CellGroupData[{
-Cell[BoxData[
- RowBox[{"1", " ", "*", " ", "3", "*", "2"}]], "Input",
- CellChangeTimes->{{3.8846851066526546`*^9, 3.8846851100998487`*^9}},
- CellLabel->"In[2]:=",ExpressionUUID->"9c4c95dd-0cce-40d9-9382-601216046955"],
+Cell["Plotting as functions of scaling invariants", "Section",
+ CellChangeTimes->{{3.887175601990197*^9, 3.887175605174004*^9}, {
+ 3.887175638310907*^9,
+ 3.887175648462943*^9}},ExpressionUUID->"af69f70f-b3b9-4794-8398-\
+01134650a149"],
-Cell[BoxData["6"], "Output",
- CellChangeTimes->{{3.884685107994219*^9, 3.884685110357212*^9}},
- CellLabel->"Out[2]=",ExpressionUUID->"7dd902cb-f16f-49b4-8c3d-3fad52ca76f5"]
-}, Open ]],
+Cell[BoxData[{
+ RowBox[{
+ RowBox[{"\[Eta]2", "=",
+ RowBox[{"\[Eta]", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}]}],
+ ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"\[Xi]2", "=",
+ RowBox[{"\[Xi]", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}]}],
+ ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"DScriptF0D\[Eta]2", "=",
+ RowBox[{"DScriptF0D\[Eta]", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}]}], ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"\[Eta]6", "=",
+ RowBox[{"\[Eta]", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}]}],
+ ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"\[Xi]6", "=",
+ RowBox[{"\[Xi]", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}]}],
+ ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"DScriptF0D\[Eta]6", "=",
+ RowBox[{"DScriptF0D\[Eta]", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}]}], ";"}]}], "Input",
+ CellChangeTimes->{{3.887184974652775*^9, 3.8871849902010813`*^9}, {
+ 3.8871853260317287`*^9, 3.887185348663872*^9}, {3.887185471338563*^9,
+ 3.887185487738577*^9}},
+ CellLabel->
+ "In[103]:=",ExpressionUUID->"fbadbe6e-e274-4fc8-b8ff-31d7d09129f7"],
Cell[CellGroupData[{
@@ -2096,35 +3945,12 @@ Cell[BoxData[
RowBox[{
RowBox[{"{",
RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
+ RowBox[{"\[Eta]2", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"DScriptF0D\[Eta]2", "[",
RowBox[{"0", ",",
RowBox[{"\[Gamma]", " ",
RowBox[{
@@ -2132,35 +3958,12 @@ Cell[BoxData[
"]"}]}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
+ RowBox[{"\[Eta]6", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"DScriptF0D\[Eta]6", "[",
RowBox[{"0", ",",
RowBox[{"\[Gamma]", " ",
RowBox[{
@@ -2170,21 +3973,39 @@ Cell[BoxData[
RowBox[{"{",
RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
"\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}]}], "\[IndentingNewLine]",
- "]"}]], "Input",
- CellChangeTimes->{{3.87595272795855*^9, 3.8759527743037024`*^9}, {
- 3.875953429388359*^9, 3.875953486484068*^9}, {3.875953717122241*^9,
- 3.875953801562244*^9}, {3.875956575822091*^9, 3.875956602382399*^9}, {
- 3.875956644263064*^9, 3.875956696863812*^9}, {3.875956757489621*^9,
- 3.8759567674092197`*^9}, {3.875956797650632*^9, 3.8759567978098288`*^9}, {
- 3.875956870619629*^9, 3.875956879171691*^9}},
- CellLabel->"In[4]:=",ExpressionUUID->"c480077f-daf0-49d9-971a-8783f8e24ae3"],
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{"\[Eta]", ",",
+ RowBox[{
+ SubscriptBox["\[ScriptCapitalF]", "0"], "[", "\[Eta]", "]"}]}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"2", ",", "6"}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
+ CellChangeTimes->{{3.876369742606814*^9, 3.876369749518669*^9}, {
+ 3.88717511572079*^9, 3.887175133863171*^9}, {3.88718492600924*^9,
+ 3.887184941792713*^9}, {3.8871849972905684`*^9, 3.88718515068447*^9}, {
+ 3.8871852002698402`*^9, 3.887185200333082*^9}, {3.8871852346862307`*^9,
+ 3.887185259919454*^9}, {3.8871853538970222`*^9, 3.887185366488626*^9}},
+ CellLabel->"In[96]:=",ExpressionUUID->"3f75c1e0-258b-4769-8308-40547e5bc66d"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
1:eJwVlnc81d8fx+2tjOwtZctexTkhKyJCviolQiKjkhClhZKVPRpSMoqshs4n
UYokREb2uNbljs+1+d3fX+fxPH+9x+v1fr/lvC46+TAxMDAIMjIw/P/l7Uoi
iyjcxPoSxerV/7AcdOq6byV+6iT2myvPpz2kGg7PtKlW2B7D7E77cfQwPoUW
@@ -2281,11 +4102,15 @@ oc7WmcYUKTFY/Pz4ixZ9Pmh74ErIRIEElK3tvPLBVxh2jbfcuLNXCn7yExge
zxWH2dGs0b1EafjHdOvR8TkZ+Cy5Jxi/LQs7+CW2rp3bDXfKfW8Y/SkH7zz/
eYbIoAS/9SS49ND/GTKCB7QuaMBIc868xqt74JaTWaw3SQfWt+xNaLdXgk07
SY8lru+HVttf3OEtNUhw4VcKu28B/wctisaw
- "]]},
- Annotation[#, "Charting`Private`Tag$3707#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ "]]}, Annotation[#, "Charting`Private`Tag$2622892#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
1:eJwV13c4lt8bAHB7Zovs1yZ7l9Q59kwh3xQlI1pWKSqySyQaopBKRpGokJHz
kJCkrOw9sl/eZWT8nt9fz/W5nnE99zn3fe5zpD0DHM8y0NHRnaOno/v/tbSh
6U3Z+VuY+Ffhta5rmzDknbsSNcsFY9l8dKf0bSHMv+R++QyDA1boWuEvbZMO
@@ -2411,143 +4236,254 @@ bCQsodFp6allAQ24fDE7wdTHGv5q9HYR0tKEjg9fuFfstoP79hxSrKjXgkXH
JjemWNLLT0JvP12LnCZ9yM3KhWoa3KEfX8Ht7pZ9MNzPj2h2xgtyGzrZyPoe
gFrtpstjoefgfxujhMiNQ/BGlUJOlXEgpG+ckkYKJjDmRuIt0fMh8H+wBV26
- "]]},
- Annotation[#, "Charting`Private`Tag$3707#2"]& ]}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{-9.122028587832348, 5.702485161797756}, {-1.3938681721411004`,
- 4.730885255577823}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.05],
- Scaled[0.05]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.875952731520175*^9, 3.87595277495057*^9}, {
- 3.875953449526909*^9, 3.87595348700035*^9}, {3.875953781918692*^9,
- 3.875953801983779*^9}, {3.875956874508904*^9, 3.875956879608242*^9},
- 3.8846881416990147`*^9, {3.884688237460053*^9, 3.88468824813827*^9},
- 3.8846882789055843`*^9, 3.884691471009809*^9},
- CellLabel->"Out[4]=",ExpressionUUID->"73571a62-acb0-4c68-a41d-2dd04cfa4c6f"]
+ "]]}, Annotation[#, "Charting`Private`Tag$2622892#2"]& ]}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{
+ Scaled[0.05],
+ Scaled[0.05]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio -> 1, Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["\[Eta]", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ RowBox[{
+ SubscriptBox["\[ScriptCapitalF]", "0"], "(", "\[Eta]", ")"}],
+ HoldForm], TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :>
+ Identity, FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> GrayLevel[0],
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None},
+ PlotRange -> {{-9.122028587832348,
+ 5.702485161797756}, {-1.3938681721411004`, 4.730885255577823}},
+ PlotRangeClipping -> True, PlotRangePadding -> {
+ Scaled[0.02],
+ Scaled[0.02]}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{"2", "6"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{
+ 3.887174570806945*^9, {3.8871751231427803`*^9, 3.8871751344236307`*^9}, {
+ 3.887184932693384*^9, 3.887184942173463*^9}, 3.887185280438054*^9,
+ 3.887185367237939*^9},
+ CellLabel->"Out[96]=",ExpressionUUID->"0be94975-8aee-49b5-8880-e4fd79f9f11e"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"p2", "=",
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"Last", "@",
+ RowBox[{"ParametricPlot", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Eta]2", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}], "}"}], ",", "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"DScriptF0D\[Eta]2", "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"Last", "@",
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Eta]6", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}], "}"}]}], "\[IndentingNewLine]", "}"}]}],
- ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"DScriptF0D\[Eta]6", "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}], "}"}]}], "\[IndentingNewLine]", "}"}]}], ",",
+
+ RowBox[{"{",
+ RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"AxesLabel", "->",
RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}]}], "\[IndentingNewLine]",
- "]"}]}]], "Input",
+ RowBox[{"\[Eta]", ",",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[ScriptCapitalF]", "0"], "'"}], "[", "\[Eta]", "]"}]}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"2", ",", "6"}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.87595272795855*^9, 3.8759527743037024`*^9}, {
3.875953429388359*^9, 3.875953486484068*^9}, {3.875953717122241*^9,
- 3.875953824002554*^9}},
- CellLabel->"In[5]:=",ExpressionUUID->"3f8b6e53-ff20-489f-b395-47d925d34ae6"],
+ 3.875953824002554*^9}, {3.887174580406206*^9, 3.887174580749688*^9}, {
+ 3.887174986510387*^9, 3.88717510283072*^9}, {3.887184947721171*^9,
+ 3.887184948225855*^9}, {3.887185289392242*^9, 3.8871852985195312`*^9}, {
+ 3.887185371553924*^9, 3.887185377032762*^9}},
+ CellLabel->"In[97]:=",ExpressionUUID->"3f8b6e53-ff20-489f-b395-47d925d34ae6"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
1:eJwV0Hk8FOgfwPExRY6MhhyVlFhGIhlXbJ6n6WAtEVFWGNHB0OmVWgZJKis3
uaJTiaaLaKPnm0Q6NNK60jDuo8YRQ4P2t78/Pq/3/x/tfUdc91MpFErof/1f
xabECXXdGMid8dZzazwLrk0Jdst9vOEKt9TY6soe6Bx6Z8hz2AVTw2Eo7Koz
@@ -2590,11 +4526,15 @@ kGb2slhVLPxqv+O9/TzaOx/B3b9GHRvxE6MSd1Kww68nj/Xmr8BL/cxttHX+
+9Lz+kyc3ko8F6+iY/OPDM7mSnNbRFr4VrZpwVizLFbSrq8SvtfGs3I39CsR
Ddc1x7s3H9DBhkus/S0X0XH4Frm86lO/YN+BHePrE1VwxWu9+AYnBnZn6VtO
a6pju39feuLYdThIFHB78LIm/h+D2LN3
- "]]},
- Annotation[#, "Charting`Private`Tag$3825#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ "]]}, Annotation[#, "Charting`Private`Tag$2622973#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
1:eJwVxXk81OkfAPAxjsG2mYlyD3IkFjlWSL4PU1RabLJF2XJHjiaKIhpCtCps
pCTlLBJpqEk9H/exiAhTznEksSYUEe3v98f79VZxDzrgRSaRSMz/+f9ldY0P
2L6RsK9604Kj3kUIfXRM88udw5AkOpPB5ztCgf+x08fJv0NO3glr/at7gdu7
@@ -2636,141 +4576,261 @@ jWojwbg8fKFWHpXp1Ly0mdRBPGmjwpDTdGQiY7GlskYfRfV1XPOkqiJ/e7rG
kWcGyNE1b7+QrxpqpdNGB3sM0TSTd4hE0kCeAUbWOY3GaGfmlNfiLi0UQCuM
e9tigprv778iyNBB680c96n67EC6JRtctDO3oT+Wh5UvLlugW2EFRa7uhkig
YVwFa1ghfm1xTOj97eg/eLmEcg==
- "]]},
- Annotation[#, "Charting`Private`Tag$3825#2"]& ]}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{-8.985689911395795,
- 5.4752540344034974`}, {-2.2687538849550464`, 0.8696374890668941}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.05],
- Scaled[0.05]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
+ "]]}, Annotation[#, "Charting`Private`Tag$2622973#2"]& ]}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{
+ Scaled[0.05],
+ Scaled[0.05]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio -> 1, Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["\[Eta]", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ RowBox[{
+ SuperscriptBox[
+ SubscriptBox["\[ScriptCapitalF]", "0"], "\[Prime]",
+ MultilineFunction -> None], "(", "\[Eta]", ")"}], HoldForm],
+ TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :> Identity,
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> GrayLevel[0],
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None},
+ PlotRange -> {{-8.985689911395795,
+ 5.4752540344034974`}, {-2.2687538849550464`, 0.8696374890668941}},
+ PlotRangeClipping -> True, PlotRangePadding -> {
+ Scaled[0.02],
+ Scaled[0.02]}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{"2", "6"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{{3.875952731520175*^9, 3.87595277495057*^9}, {
3.875953449526909*^9, 3.87595348700035*^9}, {3.875953781918692*^9,
- 3.8759538242573233`*^9}, 3.875956884814212*^9, 3.884691471720155*^9},
- CellLabel->"Out[5]=",ExpressionUUID->"2e60aa58-03df-4f64-a5b4-aac6f5b3dcd4"]
+ 3.8759538242573233`*^9}, 3.875956884814212*^9, 3.884691471720155*^9, {
+ 3.887174577531348*^9, 3.887174584665642*^9}, {3.887175035431831*^9,
+ 3.8871750787266607`*^9}, 3.887184948578662*^9, {3.887185295337936*^9,
+ 3.887185299115622*^9}, 3.887185377502866*^9},
+ CellLabel->"Out[97]=",ExpressionUUID->"8c8e78f0-682f-4cb9-bf83-9197b2c8a8c5"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"p2", "=",
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"-",
- RowBox[{"Last", "@",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"2", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}]}], "}"}], ",", "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"-",
- RowBox[{"Last", "@",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[",
- RowBox[{"2", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}]}], "}"}]}], "\[IndentingNewLine]",
- "}"}]}], ",",
+ RowBox[{"ParametricPlot", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Eta]2", "[",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"-",
+ RowBox[{"DScriptF0D\[Eta]2", "[",
+ RowBox[{"2", ",",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}]}], "}"}], ",", "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Eta]6", "[",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{"-",
+ RowBox[{"DScriptF0D\[Eta]6", "[",
+ RowBox[{"2", ",",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}]}], "}"}]}], "\[IndentingNewLine]", "}"}]}],
+ "\[IndentingNewLine]", ",",
+ RowBox[{"{",
+ RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"AxesLabel", "->",
RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}]}], "\[IndentingNewLine]",
- "]"}]}]], "Input",
- CellChangeTimes->{{3.875953835258749*^9, 3.8759538464750853`*^9}},
- CellLabel->"In[6]:=",ExpressionUUID->"f1b88156-90fa-4eff-991c-fedc7873189b"],
+ RowBox[{"\[Eta]", ",",
+ RowBox[{"-",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[ScriptCapitalF]", "0"], "''"}], "[", "\[Eta]",
+ "]"}]}]}], "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"2", ",", "6"}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
+ CellChangeTimes->{{3.875953835258749*^9, 3.8759538464750853`*^9}, {
+ 3.887174587589929*^9, 3.887174689823798*^9}, {3.887174745816722*^9,
+ 3.887174892235113*^9}, {3.887174930671193*^9, 3.8871749732205553`*^9}, {
+ 3.887175095902635*^9, 3.887175104950508*^9}, {3.8871849509534283`*^9,
+ 3.8871849518418016`*^9}, {3.887185308184392*^9, 3.8871853124795923`*^9}, {
+ 3.8871853818416777`*^9, 3.887185394801072*^9}},
+ CellLabel->
+ "In[100]:=",ExpressionUUID->"f1b88156-90fa-4eff-991c-fedc7873189b"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
1:eJwV1nc8Vf8fB3AjipCZvUo2lUgo9xrhV0RGlMyMpIQUZSSphKzISCpKMu+9
mYX3ITPrmtmjjGzusvmd71/n8Xycx7nnfD73/X6/PpLOd81dGejo6G7T09H9
d2XvjiHxS4UhFF+3qQDmSTDvjjYUsrdDHHHHmnpnx2BstlWh8IIl4jjL5ti/
@@ -2895,11 +4955,15 @@ U228qCBW6P24F6tUJ1w4+8BnMkMYuzT4/suJtE7o/tv05Lm0KDYzU/9I4kgn
pAYzBf9eEsPeLr+Zzi3bBVlxfd7UZxLYYf/WdrvALjgk2Vw10SaJPdF3puX3
QBc09kVa9bkdxV4ykm2lN+yGQD2W9NqAY9ji6Tvx5k3dUN4kHdluIost/MhX
zOjeA4Z7P69iwxWxjvhPSKJqL/wfXweqsg==
- "]]},
- Annotation[#, "Charting`Private`Tag$3873#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ "]]}, Annotation[#, "Charting`Private`Tag$2623267#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
1:eJwV1nc8Vf8fB3B7z+xCZvYIRRHHiNCQBopkloyIQl+7CFFIJCqSFdU9F2XV
+5DsuPbWkFLJ5Q7jon7n99d5PB/ncc7j/Vmvz1ve87KjDwsTE1MUMxPT/59o
a3tFrV8MVud62Cbk3iyEv3BXpT9yxiLslI3bWD9BWYD7lfMsxzGl+3yf2+Wn
@@ -3030,228 +5094,312 @@ YVo5cGk1ZBhMzsnPLYnoIBej1Wviioehr83bWXy3LvL8eVx88dgwGEmaqrxp
q+p7kODSqVsR+qPgHWhgXdy+F2HzPhJSljUKgcLlScNdRkjSMdmZJKYxENh/
wk7xgjFiN41mpieMwWnGZ7k4hinybdRkG11+HJjb5uRhlwXyTDL2RfvyOPwP
XQ72hQ==
- "]]},
- Annotation[#, "Charting`Private`Tag$3873#2"]& ]}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, -0.4306807289133189},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{-8.955815089046379,
- 5.4573291409938625`}, {-0.4306807289133189, -0.06583390760243146}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.05],
- Scaled[0.05]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.875953836665846*^9, 3.875953847191218*^9},
- 3.884691472844841*^9},
- CellLabel->"Out[6]=",ExpressionUUID->"88a1b60c-97d1-42d8-bbbc-a379f83bd40b"]
+ "]]}, Annotation[#, "Charting`Private`Tag$2623267#2"]& ]}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{
+ Scaled[0.05],
+ Scaled[0.05]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio -> 1, Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["\[Eta]", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ RowBox[{"-",
+ RowBox[{
+ SuperscriptBox[
+ SubscriptBox["\[ScriptCapitalF]", "0"], "\[Prime]\[Prime]",
+ MultilineFunction -> None], "(", "\[Eta]", ")"}]}], HoldForm],
+ TraditionalForm]}, AxesOrigin -> {0, -0.4306807289133189},
+ DisplayFunction :> Identity, FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> GrayLevel[0],
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None},
+ PlotRange -> {{-8.955815089046379,
+ 5.4573291409938625`}, {-0.4306807289133189, -0.06583390760243146}},
+ PlotRangeClipping -> True, PlotRangePadding -> {
+ Scaled[0.02],
+ Scaled[0.02]}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{"2", "6"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{
+ 3.887174806703617*^9, 3.887174840687421*^9, {3.887174885053684*^9,
+ 3.887174892708169*^9}, {3.8871749475866947`*^9, 3.887174977753584*^9},
+ 3.887184952567544*^9, {3.8871853867115717`*^9, 3.8871853957260027`*^9}},
+ CellLabel->
+ "Out[100]=",ExpressionUUID->"2310df91-f2f6-4cb0-8fa7-e0535e8bac25"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{
+ RowBox[{"ParametricPlot", "[",
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
+ RowBox[{"Evaluate", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}]}],
- "]"}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}]}],
- "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "15"}], "/", "8"}]]}]], "Input",
- CellLabel->"In[30]:=",ExpressionUUID->"38c6377e-d6ac-4418-a565-18d85ba8fcba"],
-
-Cell[BoxData[
- FractionBox[
- RowBox[{
- RowBox[{"(",
- RowBox[{"1", "-",
- SuperscriptBox["\[Gamma]", "2"]}], ")"}], " ",
- RowBox[{"(",
- RowBox[{
- FractionBox[
- RowBox[{"3409755417054688", " ", "\[Gamma]"}], "7945377693816643"], "-",
- FractionBox[
- RowBox[{"53028535852605246071985852489792", " ",
- SuperscriptBox["\[Gamma]", "3"]}],
- "1618221648977661669617116917623881"]}], ")"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{
- RowBox[{"-", "1"}], "+",
- FractionBox[
- RowBox[{"47278060980595344", " ",
- SuperscriptBox["\[Gamma]", "2"]}], "35848204582560841"]}], "]"}],
- RowBox[{"15", "/", "8"}]]]], "Output",
- CellChangeTimes->{3.8762085995213633`*^9},
- CellLabel->"Out[30]=",ExpressionUUID->"2b8225f9-ed14-4766-a01c-a86c0feb9b0e"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"pMag", "=",
- RowBox[{"Show", "[",
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{"{",
RowBox[{
- RowBox[{"{",
- RowBox[{
+ RowBox[{"\[Xi]2", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"\[Xi]", "[",
- RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{
+ RowBox[{"-",
+ RowBox[{
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "1",
+ "]"}], "[",
+ RowBox[{"3", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}], "]"}], ",",
+ "]"}]}]}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"3", ",",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}], "]"}],
RowBox[{
- RowBox[{"-",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "1",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "1"}], "/", "8"}]]}]}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
+ RowBox[{"-", "1"}], "/", "8"}]]}]}], "}"}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Xi]6", "[",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"\[Xi]", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}], "]"}], ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{
+ RowBox[{"-",
RowBox[{
- RowBox[{"-",
- RowBox[{
+ RowBox[{
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "1",
+ "]"}], "[",
+ RowBox[{"3", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "1",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "1"}], "/", "8"}]]}]}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
- RowBox[{
- RowBox[{"\[Xi]", "[",
- RowBox[{"\[Theta]0Cas", ",", "gsCas"}], "]"}], "[",
- RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}], "]"}], ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"3", ",",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}], "]"}],
RowBox[{
- RowBox[{"DScriptMCasD\[Xi]List", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}]}], "]"}], "[",
- RowBox[{"[", "1", "]"}], "]"}]}], "}"}]}], "\[IndentingNewLine]",
- "}"}]}], ",",
- RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
- RowBox[{"PlotRange", "->",
+ RowBox[{"-", "1"}], "/", "8"}]]}]}], "}"}], ",",
+ "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
- RowBox[{"{",
- RowBox[{"0", ",", "3.3"}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"0", ",", "1.6"}], "}"}]}], "}"}]}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}], ",",
- RowBox[{"PlotPoints", "->", "50"}], ",",
- RowBox[{"AxesLabel", "->",
+ RowBox[{
+ RowBox[{"\[Xi]", "[",
+ RowBox[{"\[Theta]0Cas", ",", "gsCas"}], "]"}], "[",
+ RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}], "]"}], ",",
+ RowBox[{
+ RowBox[{"DScriptMCasD\[Xi]List", "[",
+ RowBox[{"0", ",",
+ RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}]}], "]"}], "[",
+ RowBox[{"[",
+ RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}], "\[IndentingNewLine]",
+ "}"}]}], ",",
+ RowBox[{"{",
+ RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
+ RowBox[{"PlotRange", "->",
+ RowBox[{"{",
+ RowBox[{
RowBox[{"{",
- RowBox[{
- "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+ RowBox[{"0", ",", "3.3"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"0", ",", "1.6"}], "}"}]}], "}"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"PlotPoints", "->", "50"}], ",",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"|\",FontSlant->\"Italic\"]\)\!\(\*\
StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*\
SuperscriptBox[StyleBox[\"|\",FontSlant->\"Italic\"], RowBox[{RowBox[{\"-\", \
\"\[Beta]\"}], \" \", \"\[Delta]\"}]]\)\>\"", ",",
- "\"\<\!\(\*StyleBox[\"M\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+ "\"\<\!\(\*StyleBox[\"M\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
\",FontSlant->\"Italic\"]\)|\!\(\*StyleBox[\" \",FontSlant->\"Italic\"]\)\!\(\
\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*SuperscriptBox[StyleBox[\"|\",\
FontSlant->\"Italic\"], RowBox[{\"-\", \"\[Beta]\"}]]\)\>\""}], "}"}]}], ",",
-
- RowBox[{"LabelStyle", "->",
+
+ RowBox[{"LabelStyle", "->",
+ RowBox[{"{",
+ RowBox[{"Black", ",",
+ RowBox[{"FontSize", "->", "14"}]}], "}"}]}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
RowBox[{"{",
- RowBox[{"Black", ",",
- RowBox[{"FontSize", "->", "14"}]}], "}"}]}]}], "\[IndentingNewLine]",
- "]"}], "]"}]}]], "Input",
+ RowBox[{
+ "2", ",", "6", ",",
+ "\"\<Caselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.875952981547227*^9, 3.875953205695381*^9}, {
3.875953297097693*^9, 3.875953297193099*^9}, {3.875957011270492*^9,
3.875957047134419*^9}, {3.875957125424335*^9, 3.875957151767858*^9}, {
@@ -3260,315 +5408,322 @@ FontSlant->\"Italic\"], RowBox[{\"-\", \"\[Beta]\"}]]\)\>\""}], "}"}]}], ",",
3.876209125582448*^9, 3.876209130718493*^9}, {3.876209246657913*^9,
3.876209255553268*^9}, {3.884690546688959*^9, 3.884690577225401*^9}, {
3.8846907201244907`*^9, 3.884690753852927*^9}, {3.884690875959548*^9,
- 3.884690937551785*^9}},
- CellLabel->"In[7]:=",ExpressionUUID->"7af4aaca-fcbd-4164-a23f-452af7281199"],
+ 3.884690937551785*^9}, {3.88717520576867*^9, 3.8871752589375753`*^9}, {
+ 3.887175361564186*^9, 3.8871753678913107`*^9}, {3.88717542408533*^9,
+ 3.887175425325357*^9}, {3.887185406738522*^9, 3.887185422722349*^9}, {
+ 3.8871854939327173`*^9, 3.8871854996999493`*^9}, {3.887186514007268*^9,
+ 3.887186516174284*^9}},
+ CellLabel->
+ "In[142]:=",ExpressionUUID->"7af4aaca-fcbd-4164-a23f-452af7281199"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJxdlHc0F/73x9/IXtkk2SMK1ceKui9bVEIkZCXZFBIKIbtBlBnKiCI+HyuR
-pFC2rKLIznrv99vb/Pr9+7vn3HPP45znPef5vH9cSVd/y2v0GAyGsNf/N/9/
-sXhJcG1rSwJHcBjGtAdAMWg0clv7GOCEiuWDeszh7/h/RrvaugD19NKdPU6g
-7nfYlUnHAu5apvb49foDx+rpfikdF9iazMDW9UWC3vWElHSdGyAaXnnx+OAj
-SHbANtmfvgcCln+Eh0fyof7KEVMzTBpkxb6Q0M+pgoly3m/rA9nw66jh5FBV
-Awg5jHsPtBeCKjvmbqj5R/BE4nWQXgI+lrwkv9zPkDEr4d4m/RrO7viQ+fI7
-QeXllVFO4SpY0KrkpJG7YYOYm7P24l/wIti95s7pB/M/Cup3+GohySN7Vipj
-EI71Y5RxvfVAX6E4Rd8wBK6vjAzZgxqBHH1QLqJmBIacDK6OyTbDJz4LTF/R
-GESJmTaOinyEnJh8pbKmn5Cb1tWXmNkKjaO3rm9WTMCFGFnbwXNtYHHVLXPj
-y29g2jQbUBP4ArE+660hHlPgxnm/oGasHXTTI6hjdn/AJrztmdBsJ1ik34oX
-c56G0ETWLX78N+D6+SoozHIGDsx8bT9q2wNqxwIG71+aBc9gnrzmpT5gjxSL
-sbSZg0PZw3I6hgMgt3mnc1BvHhywnAkOI4OQFxXqI663AA0ZZrhDt4YgtvCT
-/huVRThrxxmzqT0C43Rar/iE/4JrjhCV6D4GAcW9gdz8S9D0LE/+ac1PiKx8
-eTRldwle1/OnbqT/gqHtlrye3WXwZKISjt6cghhB80XD7RXIeqLBXWkwDUa/
-GPA2K6vwkBjUdObcNJQ4mZz0xq3CW0sZ6rL1NEhkaX+NJK2C4KTSCYPr01A3
-2vOubGsVqB4vcw2SpmG9RgiP4VyD1d4RnpSBadg57SXQfHQNvLly1vyuzcDD
-uKfq/v5rwFxbtBZeNAt6+6j3h4hrkFZeG2hWOQsyfl8m6qhrwGHt/1aqYRbc
-WU4lZW2uQXSKhf9i1yzgSXNLTgxY+GQkyDdInAXE69OH48WCMnXfETnDOXCW
-NkqUPo6F6EbXdsG1OXhky7rRF4CFRglLyVD7BWije2DnjMWCw3oXr9n1BZhP
-8WM0IWJBMiJWRD5w786nLKRUqVjQdFjM2k5agII2gxq6XSzcEs4fkH2/ACLT
-wjLWzDjAaF5o9hNbBIvW8yMsQjjwzdmnbbC0CPLz3+ueq+PALjSowPHVEpR/
-vVSccQsHY0bECp+GJdB68g9r+20ccHKCSXLnEoxbDXRQwnAgWrsVv7G4BLy3
-5S5djsQBh6oOpkhxGSJc3LqkEnBw1sXpt1b1Mmga+QV3ZOGgaY5n6p/uFUhW
-zTxr34yDY+JPKswRFqzLj5l3MeIhiDNsGnMRC/7hZEksMx7s+/iyOq5jwcgw
-yJWPDQ+cTeP8Tx9hYbKoXfkKFx4El78Ka09hIdNmhoEiiAfrQ7Fe03o4+NpS
-IHpKAQ+WlC9vbuBxMKKLYZE1w8OAYllU+xYOVNQ0yi+dw4PLjwtxCix4uP2o
-qzvJfE/fHxPFL46HNs3sDIIVHsYGPSof7umyGGeNOx32/DF1x0tU4CFqm/gp
-xQ8PL0+FKXiFEEDkreh8RBoeEvsjU6vuE8Bfv7icmI6HWLo+fbZ0Avwb4yjh
-+QwP1WYNoutVBBiaPCttk4sHt8qFgdZlAvi8wL7QLMEDxbbUW/UaET7/eeYr
-0YiH+Q03vTIPEiSXKFRHT+OhovXAWlkoCVJRxEvuOTzYiuN825JIkKc56pm3
-sJej6Nd73QoShB64GfJ+BQ/uE5m+N4gk0On43UBHxQPRLnK7J5YM6ifzcPXs
-BGia0WCRaaZA3YBG2pAaAQSYL8vu7HHwsspP3B6ffhyX7dVKgXTvlQhXdQKw
-6ltLWvVT4FIK2c5CkwAHLDKLns9QoMf5Bn3fSQIczDk2kcxGBT+mF4RuIABB
-c2Pky2UqEEWuhH8/Q4BCialg3DYVyjvTLTgcCSAb6e/K7kSDyQSRSvV4AkQl
-OI+b3qKBbVTawkAiAW737P/49gENYi1Cj/ilECDk8nu55SYabJX+/l2WSgDH
-4iDh42IbIAVjvMq5BCg+2BtrMbcBYfvuKXhXE2B2tN4l5+kWrP2jYPh5ggAF
-XwQ/1Py7BTPDcx63JgnQd7P22U7vFixyOH4+PE2A7/82FMqybAP2uZRi+gIB
-th+KRfTe2Qaygd1CCIEAVZPS2E3/HXBW3lm8w0KEuMTNvkGEQRuYXVKyGhGW
-HvFzeltikMR/+fyemkTQ2w6okHHDoLdOydXG2kSQVAm5tx2PQYXO+r6sukSQ
-qP7x3HwAgxbPBZ7IP0uEl/e8dLq86NDyd0UTQTciBMB+rHATPTruMXrWKH1P
-3xh+JG2IHjEnZHDkPCPCfv+nFvqr9OikRj0Nn00Euau5hy+IM6Clz+d8SwqJ
-IJVgkqkQx4BqcwL/UXxLhNr2HsUYp30obUYPFX4jggjfYzp+Yya08kBgy5+B
-BD9UL2kpeTAhN+Wk13zMJAjr+cCYmciEytjPKDWykYCuakw/pIcJDQdK1nDz
-kiBY5wPO/zIz4jFvyf4lQQK3lYsPwmNYkC2m6zYbkEAtjW6AUYkdqRzt//Pz
-LgkOSLY0PbJhRwYC0hMF90jgs+DjnhbNjhSlo4W97u/t+2ReYp1gRzljB4OZ
-HpDg/oLNHWI6B+KNlHxyPZcEZYEs8QkSXEgpq8pl8D0JXmcYNz2+yIWYC/FH
-+ltI8NHxOu5EIhdiE19uGmgjQXaiXbQ1iQsVd2eZT3WRwN0/7In5IDeSzlsx
-OjJBAukBj6yB0f1IsNVGNmGbBJp1sq+tqftRScXIt3Y6MjwuZeMHIR7Ua7Yx
-wspEBn0pe6EztjzI8sXEhTwuMkR9e+PhN8mD9slY8m+KkyG/9bhZJwMf+pii
-+D5XnwxX3wZY/akVQHYZnmd+PiTDs87xhowlAbRxw7pCIZ0MGeEBp2UkBJG2
-0oRzRBYZ2ngU7s08EES8mhOCqIgMN1tesUQECaF5a7lQ8UYysHKnnjYOFEGM
-pMakawtk+FyNDzBqEEFBlwSU1VbJkMDVPhW9I4Lirh6c4CSS4fAJ1cjvDw+g
-eQft8Z87ZHBfU6j/1CKK+oXqJBcEKVB/JqbnnPchxH2SR/GvCQWo5SsjdzoP
-odwQVQc7cwowZV00eiAvjhpH63dGrCkQp6q8kLAsjrRUsOeIrhRg67rbqdcu
-gb7FTTg336VAA0koRWlbArHvHLZ/FEuBNMpOnJ6aJMq9qG/tl0yB0uDd5+Jl
-kkgVT6dwMYsCxIMxzOUFUqjEJKPqSy0FKGrmbILTUqj04zlWpr0/VFwgcpxB
-Vho95VEysv5MgbIU99dpb6WRbv7CHcnvFPjZxkCP+SGDsqW83t3G7/kvkOFZ
-S5JHGiGv2T2OUeHd5XsN9X/lkYMEvuWJFhUMUxZ+bJkqIG9H4+FBXSq8V3Ci
-2QgcRrrPW2tSLKlgbfLcXrhbEfEkHcRuBFGBWuhCi9VVQiHFMro9d6mg+8I3
-zbhRCe1XfOldF0eFUk6+DZu6I6jB29q0L5MK3t6eac0Tyogx0E9C8QMVQryr
-etYCVNCnTFGuTx1UMCsdT57Yp4ouHGEyDR6gwsSBK9zEIlV0UmncWHWOCkcM
-cXSBjMdRpQwnjp1rHZae/SxlvXYcxY99bkkVXodfnT0qsx3H0cRlviZN6XX4
-mNOSxph5AlVb6Nauaq6D1gHSKay7GlJ+QN7idN9jn4r6lDk1tJDXbl5/Yx0a
-1TMZaR7qqJ+Q1px4dx2s1HVSDSM10EKh/H+VGetguKVVtoLXQh3V9klinesg
-4xX5WC7/JOpvPbB0YngdeCVqfrRbaaNQ7+yQiOl1WLQ5PcAwrIOi2GSxddvr
-EF3gGLojhRDXIV/KX3UatOZwj7o9R+hg7921YUMakK9Fm/SL6yLmR1ePMlnT
-oDSNp9hZXQ+p609XnQqiQc16pt3Nbj100iTC0zSWBu+YFb+5eemj2l9hNiXp
-NODZX33D8KMBkvO8GWdbR4Oj7O/iY0MN0WXPwYLaDhogdZY7Z04ZIaNB5xL/
-HzS4GZWy3r1gjHDnZbPZdmgg4BsagJ8zQy0xuSMOZzfgQfeD5ymbZ9EZzfkb
-9U4bIOHiceON1Hmkwfuw7H7gBjT0HDoxb30B9X0gn36SuwEO5bi6WhYLdLc+
-7uvv6g3gUKnQWO2wQC/SSx3rOjZAPMR66n6AFcq1j/KQJ29AxSW15i8OF1F/
-EYfOAMcmVH5y2dWwt0YUQQOavOwmkJRUuLqfXkL+nUzMjLabQH3VUlEzZouM
-a4c4XtzcBNn3Ezy31e2QYpJIgcjDTRgNElVOt7qChHgfJw12bEIpQ4+Fo6gT
-6k/ezftnfhN498tR9ic4o0muP+L/MW5B8MQVMc5cF3R5U1v4qtwWBPEqtVn0
-uKLc9/lr9iZbwHXqoutpCTfELcrfWe+9BZ4VnZWc2dfQ9tI36pPHWxAfTzsx
-ftATsTLWjVtPboFSq0vSd3VvJCvmdS+ZdRsGMNzvQrN9kfi8v9yM2jaIRpNU
-+JQCkK+N0FC62zZ4zEeFEZtvoETCZOifjG3g8jlKs0sNRALX/s7yf9uGN7Mn
-VEVqglGccMSZBLodUDpvSp+sdRux2AamF+vsgMXtjuLr2uGIeDt1cDl8B2hH
-h6/dnIhAxslIityyAxVhh6rOl9xDHcoeUxGsu0DGrat+vR6LGlQVZIMv74KS
-1b7qtzPxiKpz/TxD9S6Un9pMML2agoifQ9EICwbpZPc5ih1JRe3q088aTmOQ
-fH76sMWpDNQsYRV4PxyDYmM4DD7T5yC+D7uiCq0YJGaPXw/uLUSR7q/JN3np
-ULMG8U1cySvEkYcf7gykQwqH0e97pv+ic/9ZBUev0KGklJ8XqzU+IIxr4J0L
-SfToI1VkUvZgL9o/XZ1m5c2A3nPqdtm0zCPh4iLPlL/70AnH33LHH2KR4/Lq
-FKMzI/ofa4RZ3A==
- "]], LineBox[CompressedData["
-1:eJwVkHk01A0Xx6cRKqJC2cq+RSnKGvcSPZaMSgrtlFBZQk/WlEKFjCQaLS9j
-mUabUI/TjpQJJSkRPSSULWZ+v1kMj/ePe+75nPM533PvV8s/bNshKoVCyZqd
-/+/XOvb0jqAxbBoQpXr4S+JQte/TKaM6TGpvMi4ap6KO4dqZwdRqZFyTyauw
-pqL5+YjGrr5y/EJ94SvzcA4uDVa7mGfIxMWBkpOmrnOQonjObyPnOn6MipXe
-P0FBi9Hcg86Tubjrh8l7WRYF6UK/WkX7bPzz52rHi2AKLqN1MRT/yUCqy/Uv
-a8womBQukKmsSMOMEhG3lkLBIQ+ZyrHOs/hM5C1bXDYDxzsHvz7oPI0SNK4m
-xWcGqk8YqvaMJmKMnXLXX3IzsOVhDb6Qi0Pvhsl7UY3TcDVEzvZgz98oc2F4
-oPLiNOh3JhoOW0Vj6vJAqX1bp6Glm1dk3XocQ9fecopdOuvHdis3Noej/JS1
-E71HDNST9boR60Jx4e2LqcblYnjzusgO3Y5gf4Y44EecGILovNHDDUGYJhr/
-FUgTQ7dqrDE9PxBH7tBaQ3TEkNTM3actFYBs0w/LpdumYLdfPfnx4gFUz/bw
-tL03BZ9vRzn22+5Hnr9Mr176FHxZMc8hRHMvUnK9eIUhsyxZczJEejeGPvnS
-ku02BWWRPpYHdf2wnyK1scN4CtrncVZsCffBKE3Kyj1yU1A35VFom+iNWcuT
-kurbRZDulsbmWmzHnpw9wclPRDCsL6X6RsYLE+1DVq8tEkF9zfac6+ItyGe+
-ytSKFMHefZvpl5S2YOEVz2nX3SJg23D1HifSUG27M2vVJhF0dw306Se74zgp
-nylWE8FLu4ltiqvdcGheks1naRGwoifj3oy74HvHn982cYWgpFkpUK3ahKXm
-UYaNzUK46X7zz/4FG7Hu3eF/2eeFULtw+ulJR0c8dujkQFyMEFwY831pKQ7o
-dTR66kGwEG49d5h/ZxVi982dq8FdCDF3V8fQNAC93lrszdwghEe667tiuHZY
-b8x8bL5aCOpNWWFlTbaYRnYkRS4Rgp9R1dLUFhvMqnt8X1pSCIKUMBdatzUy
-6n3S+kkBmN6etLXWsMJWSZP4yG4BbD1jk3RedT3GNx5cduWuAJg73hnrhK1D
-o09m0mZFAnhW0TYUzDFH487eaKk8AcQHORPW+WZY5TVYRTsjAH+dsuA1p9bg
-iGLuCVNfASwcKrbbILUG5cNPH/PzFEAzz0/HUdcUl0sPXrvvLACufy/vV+gq
-pEUWlnaYCaCfPbfB6eBK/J7f8GBaTgC/i5/HDDwzwhSR3F6ulADamyZOGmgY
-YR89Y+28GT5svf7WNXnMAJ+8vuyfOsYHzol1vxPe6mHs9/ie9x/4EJeid7DW
-TQ9XXX13jtnIhwIr81xxiy56gqYKvZYP7xZmt5T366D6rqCWiio+BIzO2Tdi
-rY3HjuuOzWfwQWq+nfPzdi0cV93tmZvDhxW+KXJhJ7RwdPALwzKTD13qjpXC
-p5romW7v8Og0H05lmFyWb1+BXyNKDt0M5kOt6bYbst6qGHosKe/lBj4kuMjc
-svykghMBg8Zhlnw477qzgeGjgmPpWrImZnzYztI2ZAYpo+zj0WutBnxY2cg9
-TGEvRbOXNuUcBT5UeqhUWJQo4AlxSonVKAnxF1ovb/VUwOI+59ynQyQkxptx
-9gqXIIc1ZkDrJ8FDIrBm6Y4l2Ku/O4reRULYN6+lKdqLUe60dB2DQ0L0+I5y
-2wVyaF3eRV5jk3AhidqZSl+Iwueu+h2lJEzvTG+xVFuIh/jJyzSZJNxhFTae
-XS+LpI9GfUMBCYdkbijZnF2Ad2PY1LhMEjT/qHvfS5TGU7cW0X0iSchJa+lu
-05NGyZOPI5TCSeiLSCi+0iyF1W0KBzqOkrAo2ubDK10p1NPny58IJCGbkjPQ
-0jsXHaZJB4ofCUar/sSJjsxFgdtDLV1vEpTXj0TeukFFE0d6q7MjCeX7CzPP
-7aIiI9i3JBhIYBV0dKWpUHHX8hdOlzeQcLcjo+ZD3hx8d0GygLQgoc1x3ofG
-Igqe35jXTTWZZQvvO2lNYnBoDOhTWkbCSGiPwf25s70zL9/gjBNQHNZQk1xO
-At5p1901SoDjRJjSP7N3ULT9osd+E+BmdWPRqnICHioC6A8QsG4sbtGpIB4o
-jtyZx/lGgEZ/7u1IlUl4lf6o6CeHgIH0jmu+EaOgN+EbpMwmoPArFQskRuHX
-PtXklSwCQrtW7vO/OgL90VdksZQA7QiB497aYfj+s8Q1uogAv7fv+ftNfoO6
-fVuydAEBzAElhwN2g6BhNyxbl0GAffLUM4ZlH7BOf557JJKABSt8YgO4vfBQ
-z3aIiCCgjCXpMvGgFwycZiTPhRNQeWrjfV/TXtB+wvtUeowAlbSndKr5v3Al
-6bindBAB+i+O3edWd4Noa06z0Z7Z/yXZMkaOX0CQPxb83YWAmG0LwhV+fAYy
-/7gO+y8CLu2sqhCnfAavV5U5f28iIGc5/WxdSzvYXevIUnIioOYbS/Pl0U8Q
-mL0k+xAQUOT8vLjpQyvEzHX9sc2CgIAEu0UxIe/AYfPNLA+92XzbhDdxHzlg
-UfdrZqUuAWmMJZaG9hxQDExVW6BDgFT/9fzDyo2QWmnr2qRJQIST2pqBngZo
-Vv+telidABN2W3VgdS2Ellyk9ysQ8JqIG7706jGw/uc6SEgQMCT/ZEJr+BHc
-D+jcIzHL1xVoJoPLHgGTrqi8mEqAa0rKM150FXS+b6etoRBgEVdQ4OdeAbkj
-zVEJUzwoJys3nWeXgT9TQn8Ljwep6iZFhlAK5hr8zDAuD16F7fIIaS8GZrWb
-fNYkDzzGeRSWfBF8NJ7j3vaHB0ey9mz8vJMBvhTWgeBRHjQ8SFEarM6DhNgY
-K/oID4bP1qhdVc8FxtuyRTXDPNg24yI6LcqC0gsGNXK/eeBSp2VlOpQOm5E8
-Z/OLB29SKSLxQCo4tOq5HB6a9RlHt7tPngHh3XFxziAPJLovVfcrxQOr4jKz
-doAH/wFUSmum
- "]]},
- Annotation[#, "Charting`Private`Tag$3922#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJxdl2k0FPz7xm1jLWuW7HuU7I+l0v21F5JsWbILJULKUklFKaVCIdkla/FU
-JEUoWwvise8GWYZZzIwxjF//t//7nPtc535xnXNdrz7nlvO9aH+WhYmJifp3
-/0///7wODBnax9gHNhbxCuvyFlCkoj+kwtAH9ldJdwUUnIHE7jWoxrCE/A6R
-RGuFANBU2dV/hHEaau5OOX1SuAKVGtnt1xiBkHNU2uaJ4h1w1I4vurYTBSIc
-B+M4lZ9BT0Ev7hprEnjzOX49oFICLseky6vFsqC52De5XbQODuIHsLc+FoJ5
-dBEJq9gMjepWjeszpXDpzelqUnYbBBg9yc2vewMm4snJvTd+wPagu7+owlso
-eqZmlULrAf/9WYHePbVAFpAdrpvrg3ntxuNNaR/hourYMG/DAJTtwXE9Q42A
-tVzSTncehpUTGMspw2aQnQ0o7JAZA0kVmVfHbVvBDuhyCm8mILg+dJEj9huI
-xm+LtKRNQfL52dp3zB3A4jV4XGZuGlyYVz/kPOoCjc99n5+Jz8Loyf17x9N/
-gs3ZYRcPfyxUWZdnYUJ6APnH5WQUzsGtn22X3aV+A9+oP+Nj2zz8l8BU36Ha
-Dzp1VTwrjAU4u/Tr3U/7AVj05SgMkF6EOaPB9JmdIVgwH2c9Zr8ESdaSOrd3
-j8HR+C97X19fhge77Jfv+05CiEJpi2XaCjxUHf2qGzEJHDZ3Q2kZK1AXRR9b
-vDkJD9VwuyterEC6v9fm5YJJMMspV+EtWQFPEwFL0elJOH3owWDfhxXgSMst
-MdOaAkMdQpDHxArY3HvPZFY3BZbPfUeDVXGQMf9tbdfgNLRlsO1LbsJBSun3
-jMnJaVhsvjS/0oqD3Lc2LR/+TP/V09W2HTjIjsptiNuchqFprL9gLw62OXt5
-3KRnIHGV4vZ8BgdKhOBXjoEzMNoo9b0SswqvpWu0HzNmYB+7iO2E9SpA7nte
-uikW3sbr59wbWoUapcWwaFssQPVo98jYKgifuqDKcMHCkGajotr0KjjGvvoq
-H4oFxbVFve7FVegykvjYm4kFFPeSU5S+CjpKhxK617Ag5WrbXCW1Bmd5/Ujp
-xXPwu6vy+abvGuzpSbjRd2ABSj9YsaqtrgF3zIT1oOECDATa7PtDXAPJHNkL
-fywXwDgNMoqpa7DUn0vU9l+ACP0x9UdMeBja80g5OGcBRo6r/uDmxkNM6bxg
-jOAfyIkdr+aSwkO7hER5FscipD1sea1iioe1U/XXFuSXQURhyIn5MR6StFlf
-vddZBvU4tfsmqXjI3zeckG62DMnjleTb6Xh4ccumISFgGdK3ay5xZOFh8Cam
-UatiGbhWgkQECvHg+uo9e7/+CszvnrTReIcH3+ByItETBwkGtsefD+EhsUUt
-mysCB/KmHMqzI3jI43zmqJuIg/Xr/RZq43ho8vtwqa0CBxxw3rlpGg9OjIjW
-KRoO8JFD9X+W8PBRCx/B9XwViO+NKMe28XByd1+FyPIadN8Mu2siTwD+goUg
-X2Y8rDCZv2hTJMD1K++7LHf/vS92C1rvI4A3AzNhpIQHDt6CfU5qBLiRnsA+
-4oSH9bFXLKF6BPj8KV1nsR4PwmILe95aEeCqiIyBcgoByq9lpj26RIDSWf48
-ejYB3O4X6cpdIUBeBWF2powA+VLytm+jCZDaeC554RsBWJaycEPXCXDXqGn7
-B4MAIZwZ66pJf/NZq00qRxLhWO7o4OwLAiTvaqFIhJKAxm48+amNAJVCARXK
-cST4jjs6bN9JgC/K5lqWKSQ4tb/FZ/E7AVI8cly7XpOgOGZNTqyXAEv8Ur/H
-8SSIknOKvjZKgNV8v0jvmHU4qZl5wgdPANPQdgOlHDJYu54JKRQnghln3Amz
-ajKYTyYJ2EgR4WCit/uNVjIoC8z4UWSI0LinycpqiQxRSfGiJ5SI8MQ0gGho
-SIFP7AXDLJpE+GZqZF07RoHPZPfOx+ZEiJg31qIc3oDMZkzz0XAiWBRZatw6
-tQEH3JvxPZeIoEpkwx8M3IA9MyvDfleIkIpRbJlL3YBzx1jHk68SYXxIhWdi
-eQO4g4u/YROJ8CUxPU+9mAZleX3yDc//+tlf2/lr0uHrvaV7LN+IoKdrxrhi
-RQd37myd1+1EqJHDabz1p8P2tmKjWxcRcBd/pJVl0QFz3+pqbTcRfn8fbcvE
-bIHkMb7P0SN/+zdJfRqc24JJ28p8VTwRirHtdT+7GPAUH5FsKUmC6Wj9qFQc
-Azwryc9sZUjgJFEZmcm/Ay71RnPO8iQQupMyfP70Dvje4nYIViGByYfg50f+
-7IDQsNTbIl0S7JvQ3J+dzIRMmDqfOJ4gwbWXgfn8Q8woM2/EsuMGCbJlA+PN
-V5nRcPqg99YtEkTsTT1eysaClOUO82rfIYEqj3kFTYsFvXBg1i58QAI915qi
-kRQWxG5QQHiaRQL+uL4pIXtWNJfZyfXrLQnSzsxNdLNg0M/VtZ2MRRJoZMTs
-bEphEKlqV1LXCgnqlUX9vQ0xKMG1oJuxRgKvwzFvx8IwqLHZsPwChQSy7bF7
-3sxgkJfe3iUP1nW4y2nh4PObHW0aXMrIklqHGXIZtm+BE7WfvZj1yGEd1qb7
-pnp5uNCJW+FszKfXYfDk4qqSJhfCRnuURrqtg+ya+Kf+GC7UeWKk0tdnHZ4W
-8t4NEeBGZWyBKm4X//rdBKTz7XnQa7t6oYbkdbAsQSETyrxoxiJ8MahtHYw+
-9/YYnOZFFkbRcmJd6xCmtSImlMSLnPcHy3T9XIcycYdq22Ve1J4pl6j33zrs
-INfToh/4kM2CTLEWdh0kJdL4ztTyIxdN195aFjIsZbVoMvXxI9naDO+n7GRw
-6v8kQ17jR079r6WjuMnQvMPhNrBfANk13zAzEyRDCcHH9HmxAJqnXOFglydD
-99Zebc8yQeTsvmqsbkL+yynp4JrvgijwK7ebqQUZvLR73C+sCqKS59WyZ6zI
-8CLwlabsP0KI5yoaz7QnwzuTTZOadiGU/OeTEPIjw43wtjfKrMLIfo199kQi
-GcgprVL6s6JoaKB4seYHGSZMDnOxSYihoHJs0vteMnCpHVQpcRBDTXPqck0D
-ZOCzUau42i6GKGHlCdgpMuQRzUVW6/eiP9a/pGPJZFAyo5WE/5JAs4dE8dMy
-FHjk5LH7j7Akql95qWurRAFhqsz2PU9JVCMq/qF5PwUGnA/WBJMkUXaw70jj
-PxRgXIjTD1OTRifPsxzZY0OBq5GOr8zCZZEYp8otk1gK8DItvVfPl0UxQfQ2
-9XgKHD52+jyxWxb9K87NULhDga3P10olteWQX4pRq2oqBdobwhrzmOWRXNzK
-qZJyCoQ+NHBS6lNA5rM+crfHKfBygimiSFAR7eeb5uXDUmDEalsu2EERtWMU
-LUqWKHDosqjj1pAiCpvZMadSKRAtfe/bEbISInf31KgIUQEfPCGpd00F/Q4S
-NqBYU0HkyohZQLcK6lLe/NVtT4VQ09p6T0VVZNw5KlPrSgXswf72iT5VVJ7e
-+rUskApOmyNV76wOoPtnUgx0Eqgg9JvX6nPVAaT8JOFddDIVvHQtVLiE1JDS
-itiHH6lUkK0TkX2HVUN9ZbtcCwqoUNL0hnS7RB11PM66zPaFCh8j23Z3S2kg
-trdnMr61U4G49NIDk6mBEFNcZEY3FSKOPE37YaWJ2CiJeaGTVHhEb+nSOqOF
-xrbyVkg7VKibvrzv8ZgOyrbkP15ptgFLv9iVR/V0kZOd9uOiExtg199d/SFN
-F9mz8TTUOG+AA3/3zzSnf5Cr4X/v95zbABZ3yQjClh6aGj/CYH20AR6VSj74
-UH00/dKMszlzA8IdBrHRWH3UJJPlnlW4AWLdGfqtIwao0vFkaG7tBuywmbxj
-oR1CQozhuN1TG8CzAIkcDw4jb7vlpbqlDWj1mbTmVTyCKv9c8r1N3oDbHQsB
-wv5GKNvYZzSehwYcmjukb8II2ad/qtAwpIHXpfMj7FEIxXJOUOlmNMggaVuS
-RhGKn6zaRbCjQeTBoJ30GmO0TfXSdztHgwYxizK1VFNk5afAbPOCBsuFYZN2
-8mbIwsvIJr+cBrixoh7hejN0NFDHSqueBo9OvP9tsGWOZoIUewUGaSDM3Ct0
-r8wCGe3rHT47TwOTaN3j3l6WiEf038wdMg1Q2AtF5oVj6ICfcTavyCZQa7kO
-S3w8jg4kzV24p7wJRTJEEe9MK5QbYSzipL8JndS9jC8xNqjdWBy77LoJaj03
-Ujmv2KF12qEn14s2wcLvY4mq+CkkuTaoi63dhOnIwoKbHadQFu5ZdEPXJnhN
-rEZGWjogx7Nbir2kTTDOl/KQFXdEDoKB8hJcdJjz26lTozuizG6drRVpOlw8
-spLBsuqMjl0bCjOzoUN22eclblYX1DhoenvYjw7ldT0uO2quKG/U6YbwNTq8
-TxvobO5wR7+4zdNLX9NB6oyd/zx4oFH4sr6nkw4vSA/efBnwROFZTMwOWDoo
-iGdKPTT0QXo5KjqxUlsQ1CtaTkS+6NDwo9qbh7egipOGyfXxQ0+vcm5luG1B
-UVlOASnXH0VVj3n1xP7lpvcXDvzWWSQomuGGXmzBd28PjePxgejePzm9O41b
-wOGfUpWpfg79brSOUp3dgviwVpq5SgjiPDKA1dPchgpMkvrNxIuI47Z9rq/r
-Nrw6ueorszccKeMUZ+8lbEPhs61TxbkRiE8ZGz5Rsw2Bh/jY7pyJRG+qvR9n
-TW+D39fP+p6eVxBHw438bSEGdPWn+5D+jUavtKMUXY4zYEZfrdYx5Criw8i5
-st1igJKrxofwkji0fO5dTmgjA0aNP8bWwU3krBNGE9thwOWzvfNPUm+jnK8Y
-/QKzHWDgYucazt9B+otWNp2PdqBnMCB1jXQPyaDRA7end/7+fZK7c0NSkKfj
-wHy8FBPaX3eAz1MiFX0xfWOwaMuESPkxAd6Ep0ilJbmS+Q4TUrHbqLyvmY1C
-gvy7NL8yIXq0T8puhwJkttflcBgP819u9Ty4OVeCLPpuviv1ZEaJp3ufq3S9
-QVubfKq+LcyoqPi+ZWdVHZqKTpc2PMqC9rucfby3ohVNHcnXvDDFgliPaVR1
-dvah5TZM/sMOVmT3RPbgr5xVdFixSt3JGYO8O7z4IY+K7MJkEjipGPQ/QPOT
-wA==
- "]], LineBox[CompressedData["
-1:eJwV1Hk0ltsXB3CzQsiQscF4yRUyT+2DTEleFJHMGeINJVMqKVwiEulKplJk
-lrHIWEiTsVDIkK5Q6H2edzD8nt8fZ531Wd+1ztnr7L2OlGeQ3RkWJiamV8T6
-/76sdi0h7zaOOAqGvkbQ2NHq2npsv+Q7pMPmSj7oz4rIizQndYc21Jg6Zfa+
-ggXZXvivboGlDuFzqnJn5ViQ609PUR/vcpQ7Hu1LamJGhZvD8k2dRSisIlX9
-gTszsnlacOhhXz66mxTV91SYGd3n1Wl6+jIbeU8lGP4ZYkLqsUeHgwcyEf8h
-hptMDhMS7Iw//1shHR05Ehqe5c+EDN/2pGw23EJVe5ZwaQMmZJn7fFnIIQkx
-uz+enRVgQsl2KuZqn+JRq/Bbec+xLSgTydiVwnwDkb1UZ5gztyDkNFf987Jr
-SGHZ6/XA8S3wfbWaExF+FcUHmhf8JbYF7kkSD0sORqNLfLnx579tQs1u6Yf2
-AZHohHJBm2H5JrAJCgX5bA9Hz1hXHslHb0JI4m8hJ3ookh/Krh+13gRH1eiB
-ZyoXkJGBcj2f9CbQROoYWgbBqOr6+3yR/g3olgq83cl+DilnCKD40g3INyWP
-CX8OQA6Rt2srEjbARXf59K05fyQs+MGMfGYDLIoc+bnk/VDfUOSJwsMbcDAh
-q7k93QdlHmdrUZPbgFeR7K4c8mdQDf+MEwvnBiy+FZLqKPdEHuvpJnzv16Fu
-YmRbZbYHqp8S/yX7bB300pdgNNcdyQTlsx/4dx0+nJHeS391GmVZenhN+q6D
-8ccXgg8NXZBEI7M9mbQOm+UStlsDzqhwmq2+SXcd3h8qtva1OomUFNccvHnX
-YcScKS5T0RH9YP88WkljQO5yHuOhhAMSXKtXzZhjQKWEhSlZ4zj6zaQrvb2V
-AXG1dm9e7LRF0z6n5hfDGTB9SnWU5ENC8dVffUx8GUCrLirKSrRBrN+T1Fkc
-GSBhlabAqWuNUr9MWj3RZkB4+V7HOStLpHhcJFVmgw7/8EzWaAdbIN8RL/Kx
-X3Tgn9N0u5pnjn6chqaub3RwrnQalJA0QxvW1bX/dNPBTMUoqTXaBLE94clU
-vEsHI9n0RIcFY8Sxn3zlURIdvDZNGwxcjdHzYD95h6t0+GjLnZTiaITmGxbH
-HPzpIHRsM+80H6DXzxJ2FwId7q7/FFozPIQ+lB9+8liTDovW0bwPQg3RPcNO
-/hElOtxpJ4WkUvWRbPtUXZUoHc7q39m/TNJFV9b4j2n9oQGZtDN2rU4H2Tib
-R53/SYNjmj/4vPbpoHd3WwT6p2mQlxXrc4NNG11QF+Fa7aeB0uezeDGrJpJV
-LD9VVk2Do0OGi851aojzvyPWXmE0yInXPJnopIZ4TE5oBQbRYG7WmTeAicgl
-2XKT/Wgw3lKzd+KEKsq6OvB95yni/jvPu1p1D6CTLZlyUkY0cBVQiFcW3I+E
-uv7uWuOngemjcOr1B4pIIyzuPnDT4HDZ6Pyn/Yoo7WtEYA47DUz8uS8KHFNA
-JVPxTQl0KiSHXGAY18ojR1zoqeQcFQQPnUyiLMkgrd8WrqwtVMhRKwsLyJJB
-8SXaqiMNVKhNupJNN5ZB7ROkbY01VOBU2Unely+NYsa5XzwppgKP5zTrQLAU
-GiiJEVPNpMJcRw97d+seNMdyTaU6mAodd6jiJIs9qP+SaYdjIBU8usfrzw7u
-Rp/VlXu3+1FBcettJteKJCJJS11KdaOClUxps4CFBDKuSMuVtKFC9luVMZaT
-omjvlJ+3uCoVyji5PyqyiKII7sos77+p8NaEfJlWLoLuOg13NyhQgTemRdiP
-SwRxF3vkREhRQc38pY3fsDDixP+UuAtSQStF1EiiTBAltQbMVVFxSK/76vxJ
-kR89W3rKVtCDw2GeuEtcND5UWxj7L/trHARDbD078/jQ5LYL9kGdOOxql5VW
-W+FFR34xGLYvcYiXw1JMH+5Al5QnbtvV4iD6rdhSDLjRp7EXgpoFRE5KzrY4
-yImCng44Kl3B4VNy6Pp9KgfaV3NhUSIah+CJx9uqWjlQv1KyMn8UDu5Wohw7
-SByoyNo7jTUMh7Iv+tXGkezowUHzCaFzOIiRlaMFfrKilGAphTFXHCz7Gv7u
-1WNGfscTrJuMcThnsqj/nJ8Zsc7x6S4iHJSZOyfV5pmQ7KiEozTg4KI0pliW
-yYT+FGdz39PHoTs8WUF2hfhnVeuvFWsQ+amPTRPFG6AtZnnU8S8cGrK36VkQ
-c+zdwMf/khcHrZ9tqV3hNHh+759vljuIvIXyefYQDbLsq4U/c+Mg9E51mPMD
-FU5NTKQxtuEQWXa9NgvDYbwj0ciVFYcxjtcVzB4YtI9yHrxFxWBpJtZjMnMN
-jrqkK0fMYhAbq2xUT16DXYucuUdnMHBvptWsmq5BVcviB+lpDO55XJXOwldB
-ranJf2gSg485OgoBbqvgvc1c8Og4BvaiQ+e00QrsGT9gmTSAgZxKbhHLlWWI
-XnJV/7sDA3JTn3cp6w9AHmPVAUUY3BE6Rfo6Og/s35VknzzCoCIvusKzah6m
-bqP4mYcYhGQ0hni7zoMSl6SgWyEGleL+Qcovv8OeYjlpjzzivB0u2grJczA0
-VPos9V8MFtorht+7zMAaZ6ti8i0M9jGLs4m7TUJI3sW2+iiifmQXESI/Cbua
-xQJ2Ed4eWzygsTwBJeNyfWGRGPyKnVJhXJmAAxTOx7oRGDxTt1o6W/QVNvGQ
-gu6LGPgHTrezsH+BNMaBJNYQDCT65L5tbhsF0yO7yKu+GCQuSW120wehr6t4
-PdARA+MmL3Hh0UHg5s0foTpgkKFpVpnVMAh2LsAfR3g/asnVvzgIDuei8nJP
-YDAgrXVsbXUAfG/qiI3YY4CWL469wfvBWbny0wkSBmGX6hLTZD/CE+P0vDuW
-GHDn7zD0WumFuUR9gVkDDPjV3Z30unrBfM9y0A3C5lFdfbZZvdB1RpJFjrDi
-6OYfONQLaW/G2n30MfAjH3HZkdoDAvVx+Yu6GOztmL3GZ9ANlcnZ/szaxHtf
-swuNaHkFHZ1Ls2nqGEiWLiFKWxfoofaXVmoYtNm0xPLd74LB3K66FVWif24c
-3acvdkFiRXN/FuHCWv+tjP1dcFLoRdisCgYmPmu/vLM6Ia7vlN/VAxg4hjjQ
-jKM64O4SNf6FEga/3yZ6j3q2QcXlgApLeQyOZsU/kEFtUNX8TnRRDoPh+197
-8na3gaFOcu4twvo3ZYycalrhl+NO+qAsMa/CPkZ7il7C0QWmGTcZDP5a4lt3
-y2kGzUZDnuh9GOQVhmbeetcIhR6J9h3iGLR40FYD7zTCqHiWhi9hsz+6xjlO
-jbCSEC/FQ1i1rvTRz+8NoMqlu9tBDINQs0FdYG+AKzGWqQsiGAgfs1s8QqoD
-mgSJLiSMQTVJiLlKsgayp1e/BfJhoG7AZ8XyqxpivzucFyWsMKCIbrVXQ12i
-IHMXLwae8W/HbH2rQVjJRFSCcPmBzhdX6qpAj2wk28tD9FvrTRWpsQIiv9T7
-y3IR/fvDTzIqKAGXUvq5YTYMnmo7S++1L4HS0Hv7YwiPSqVZnWYvgcP1vmP7
-Ceuw2sRRzxbDUL+3cAwrBrbaiH5f7wmYnQ/8rciCwRvpwQXZn49gyQ7Do7Yo
-MFI71zKWkg8UlX+M+OkU+Ou6sDqHST6gHsGeChoFhraaxJRX8mA7bqZhTbhO
-85hYd28uVD4SaU6kUiBwVSbX4EYO8BhnX2HGKbBdu/+N8u57EGPXGflzjQLT
-n0YqZStTof4qc+njJQroLbQnUqpvgey0h5IRYZYkrWDh+hSwFbkeN75Igbui
-tT16HTchUfn+Kz7CD5IWlOb/SwB8UiMgbIECuk4ul5QvxoA4k8uG/jwFMlS5
-CmRErwLj5uVfg98poJHJFUOyuAxFM6/qAggzhKX0eysjIfN9QEv2HAXcX4vE
-f84+D0U9lyuxGQoUWIYme48Hw0q4qW4K4WcJGjqhBufg0OeoDBnCzRXRY/4n
-fOHdl+EWm2kKyAkwpT754QWdGTY3574R9flTG11j3KFBdlLhEuG96YWiArrO
-EPQ84A4/4Uf3HVNRlD2Uzf5rODJFgf8BaaHzUQ==
- "]]},
- Annotation[#, "Charting`Private`Tag$3922#2"]& ],
- TagBox[
- {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
+1:eJxdlnk0FVzXwK8pZB5SkjEkMkTIQ/aJVHhKxmRIZCjKEJIImWeSylAhlSYZ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+ "]],
+ LineBox[CompressedData["
+1:eJwVj3k0lYsaxrddZMhWpkKReRNRZg7va0chVA5CXYkkkp2ciogGYylkFx2R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+ "]]}, Annotation[#, "Charting`Private`Tag$2642333#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
+1:eJxdVXc4Fvz7NXrMbLJHMovMyHrvT2ZpWqFsopfMl4ykVHorpYxesiIricgK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+ "]],
+ LineBox[CompressedData["
+1:eJwV1nk41AsXB/AxtqIkRiZL1lwqSciSnINsuTLShkJCKWvpVVFETZcspVDS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+ "]]}, Annotation[#, "Charting`Private`Tag$2642333#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]],
+ LineBox[CompressedData["
1:eJxdVWk0FfzXRVxDRcicZKqoVIRS7B8NlDJ7CpVHCEWkMiQJCRUyJdIkFSrx
CClJEjIkFBqIhEzXnV1TXv+v71nrrLP2l70/7L32UT7ia+POx8PD0ze//7v/
f0a3pZRdKpKBVOFloZkuXTzLFFKJLlqFa84PZGa6dmLLnm/vYor0oa64xG6m
@@ -3648,7 +5803,8 @@ FLr/atn/9C+eS5VtjXwYQUR3ZJtFaMwhPSy9XUQzhthM7urSLJuDf+W53vT9
18h/5oXGqRt5SJ1G+w/xoDQiInf4wr70+T/iqb6vwDuLbAjxW3FTkZc0/bda
3LKqgMQz3a0zWnnJNYm/q3Vdq0nr7uCpJaN85JKpfZaYdwe5IG2fIcnHT/4P
ohvibg==
- "]], LineBox[CompressedData["
+ "]],
+ LineBox[CompressedData["
1:eJwVkHk41Psex8foaoo2e7bIUkN6JjWZiM+3HKayjlu2Ials6Roq4yhqKluy
RIe599JF6rR4GBdDIbJk63BslRnFsUQkW+Y3G+O6f7yf91+v5/163gbnGe6B
eBwOx1jP/3umSs3zrOUndHdg0/D5v21AD4qiCPRDlSiEsYFzeScefVgLrNZp
@@ -3689,58 +5845,235 @@ CJEvAOetho/tOjig37ZX99tHAWjQxm23BP8O+/oU5nJ6BOApDG0IIz4BFzL/
s9KfAuCLxqV6WCEU1Tl0JXYJgC2jZvnSc0H2a1JyYqcAGIUFjfYkNqhDuq1S
hwBMb1D8rTQfQtCbzD+y2wRgydfdWW6cDjHk1L2GrQLg0q/HJEAirPo+OlHZ
IoD/AZPoZSQ=
- "]]},
- Annotation[#, "Charting`Private`Tag$3922#3"]& ], {}}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{
- FormBox[
- TagBox[
- "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
+ "]]},
+ Annotation[#, "Charting`Private`Tag$2642333#3"]& ], {}}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{0, 0}, {0, 0}},
+ PlotRangeClipping -> True, ImagePadding -> All, DisplayFunction ->
+ Identity, AspectRatio -> 1, Axes -> {True, True}, AxesLabel -> {
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
StyleBox[\\\" \
\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"|\\\",FontSlant->\\\"\
Italic\\\"]\\)\\!\\(\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\
\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*SuperscriptBox[\
StyleBox[\\\"|\\\",FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{\\\"-\\\", \
\\\"\[Beta]\\\"}], \\\" \\\", \\\"\[Delta]\\\"}]]\\)\"", HoldForm],
- TraditionalForm],
- FormBox[
- TagBox[
- "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
+ TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)|\\!\\(\\*StyleBox[\\\" \
\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"\
Italic\\\"]\\)\\!\\(\\*SuperscriptBox[StyleBox[\\\"|\\\",FontSlant->\\\"\
Italic\\\"], RowBox[{\\\"-\\\", \\\"\[Beta]\\\"}]]\\)\"", HoldForm],
- TraditionalForm]},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- LabelStyle->{
- GrayLevel[0], FontSize -> 14},
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{0, 3.3}, {0, 1.6}},
- PlotRangeClipping->True,
- PlotRangePadding->{{0, 0}, {0, 0}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :> Identity,
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> {
+ GrayLevel[0], FontSize -> 14},
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None}, PlotRange -> {{0, 3.3}, {0, 1.6}},
+ PlotRangeClipping -> True, PlotRangePadding -> {Automatic, Automatic},
+ Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "2", "6",
+ "\"Caselle \
+\\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"al\\\",FontSlant->\
+\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\\\"Italic\\\"]\\)\"\
+"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"},
+ Background -> Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #3}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"], ",",
+ RowBox[{"FontSize", "\[Rule]", "14"}]}], "}"}]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{{3.875957126514063*^9, 3.875957152540943*^9}, {
3.8759571847549353`*^9, 3.875957188180087*^9}, {3.875957249738762*^9,
3.875957266071168*^9}, {3.8759573346853323`*^9, 3.875957362091642*^9}, {
3.8762091314286547`*^9, 3.876209168479266*^9}, 3.876210214519513*^9,
3.884690547837318*^9, {3.8846907344980288`*^9, 3.884690754914673*^9}, {
- 3.884690931703446*^9, 3.884690938018208*^9}, 3.884691475790214*^9},
- CellLabel->"Out[7]=",ExpressionUUID->"20c955a9-cd81-4419-878e-3b98aa44aefc"]
+ 3.884690931703446*^9, 3.884690938018208*^9}, 3.884691475790214*^9, {
+ 3.88717524120253*^9, 3.887175259408231*^9}, 3.887175368358357*^9,
+ 3.887175480779523*^9, 3.887185424676525*^9, 3.887185504545484*^9,
+ 3.887186516665186*^9},
+ CellLabel->
+ "Out[142]=",ExpressionUUID->"c5da7894-3e02-4b45-9ef2-8e0b3fea9304"]
}, Open ]],
Cell[CellGroupData[{
@@ -3817,9 +6150,10 @@ Cell[BoxData[
"]"}], ",",
RowBox[{
RowBox[{"DScriptMCasD\[Xi]List", "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], "[",
- RowBox[{"[", "1", "]"}], "]"}]}], "}"}]}], "\[IndentingNewLine]",
- "}"}]}], ",",
+ RowBox[{"0", ",", "\[Theta]"}], "]"}], "[",
+ RowBox[{"[",
+ RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}],
+ "\[IndentingNewLine]", "}"}]}], ",",
RowBox[{"{",
RowBox[{"\[Theta]", ",", "0", ",", "1.4"}], "}"}], ",",
"\[IndentingNewLine]",
@@ -3845,7 +6179,18 @@ FontSlant->\"Italic\"], RowBox[{\"-\", \"\[Beta]\"}]]\)\>\""}], "}"}]}], ",",
RowBox[{"{",
RowBox[{"0", ",", "2.3"}], "}"}], ",",
RowBox[{"{",
- RowBox[{"1.35", ",", "1.45"}], "}"}]}], "}"}]}]}],
+ RowBox[{"1.35", ",", "1.45"}], "}"}]}], "}"}]}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ "2", ",", "6", ",",
+ "\"\<Caselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
"\[IndentingNewLine]", "]"}], "]"}]}]], "Input",
CellChangeTimes->{{3.875952981547227*^9, 3.875953205695381*^9}, {
3.875953297097693*^9, 3.875953297193099*^9}, {3.875957011270492*^9,
@@ -3856,443 +6201,437 @@ FontSlant->\"Italic\"], RowBox[{\"-\", \"\[Beta]\"}]]\)\>\""}], "}"}]}], ",",
3.876209255553268*^9}, {3.884690546688959*^9, 3.884690577225401*^9}, {
3.8846907201244907`*^9, 3.884690753852927*^9}, {3.884690875959548*^9,
3.884690937551785*^9}, {3.8846910297536173`*^9, 3.884691039714095*^9}, {
- 3.8846916487180977`*^9, 3.884691709606249*^9}},
- CellLabel->"In[14]:=",ExpressionUUID->"7bc98e14-1631-4fc3-aed1-367c66e81e01"],
+ 3.8846916487180977`*^9, 3.884691709606249*^9}, {3.887185434179426*^9,
+ 3.887185434707024*^9}, {3.887186470269915*^9, 3.887186475894417*^9}, {
+ 3.887186507374937*^9, 3.887186509750082*^9}},
+ CellLabel->
+ "In[141]:=",ExpressionUUID->"7bc98e14-1631-4fc3-aed1-367c66e81e01"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJxdVXc0F/z3t0chs7KlrBIyPmT0epuV0VNEFBJKSCQrLZH0yFPJKCKjMtJQ
-2qSSKJLxeCrKimR+fKaP3dfv39895977x+t1zn2d1zn33lW+oc77ebi4uKiL
-+X/9/8fbIlo6Q1ANM0PKR0MCrBHanu7HFDRCnZRoc0qAC7Qo6jcmBW2R5njG
-rDHAD29Dos7zCrlCR+r4oN3Bo1Dw8NU3FtqPZgHx+I2BCTAPfDfALxyJTR9O
-VC4NTkPWtXgPS5FEyAetvOl3+CaOZzeeps1nQNTNS+WJ7WP0KNLODQfk4/zF
-DKrOmmp8a32eotRwG3KvB4SeD73DshzdsC1vymBgr9KurPERpb2qVRKV5Rg5
-ud75gvBn+KgTkddjFXidYuXpVtIKGY1Ny6V0n+HsMaXCcfN23AieEjTb8xIl
-SL9vWvgFkhUpYtOcV5D2tBbOMe5AmtpI78raN+AdO5VFyf2OZf4Gb61v1MBz
-7O2O74wuXPtPQDW4thZzJk3qu816ESd2pWnzeB1qgrgs4vf3wcCIrv8j+iNo
-2ywmLYt+QiPWuynf8BNWmEhmvOjuR3lDoMtXvmZEDcbWreT6hTO23ndljFph
-vdNxPdN4EGlj7zmW823Qv9iTcdTjN1IPfzFt0f0P42KRS4ZThyDieKVo/v5X
-vNSwWL+8dhgchapIxwOdED9/9f1U3wgelsk1iRztxPnrmnFtgyNQ3j2k/eV0
-J1p9wnfcHR3BVXJQ52xWJ2rXpW30YY/gaP8e921NnXAd/qL1UWgU4bXsiFuU
-70hx0+nM0x2Fh1z8sVviP6DVOCzmd3IUJWYX5lIHurCX/mTCTXYMzV+kY4YX
-fXGYyT4wqDiGIHH2SQfubkjPvxCMUh2DRBHDXVepG4Oq6xoy1o2BoupXEO3e
-De3Lmbu/WoyB91WKv0xzN6pvDXH5+Y6BZcY/2lvbgzdLhSl5ZWPgLxGPHx3p
-xa+l4yHvNo3j9jWRs+HMXlR9cP57q/U4nPWHdnHN9UJ6z9ah5s3jyMu9n6kn
-2gfut23hXdvHMVAd7TWg24e1Jp31s77jeGQ/fys/qg+xBs97bJMWcf+FZ2XC
-P7H5zmVXqZZxKMSZz5tv6Uey78mBh75UcHQlv5S49OPMQJjCwwAqioS2vVLe
-249Y6vum8kNUcLlUc3Si+jHn1Jf3MIoKbocnQ+23+hHfbCj7IpmKQaGwRCe+
-AXS7Nir1PqJCvLqRevjTAJZ/lStJ550AM8SmoSNxEM/5/c41FU3AbzRHqjBt
-EFLevt7ZZRPIuno2IaZgEAcdXn4JKJ+Ay76m9dtfLeI2Vnf5Xk4g4uEemXvs
-QdT15fPbNU3gduE2kQ2BvyHXFu40xJyAwwXdTUs8h7Dyzah2hwoNOg8qmmuD
-h7AuN/iq/WoazNmMa5ePD+G9QbFvlRoN6tp5Vp7Xh3BUNFOxYC0N115cXVb/
-fQgn6HuNQg1p8DDgsuTzGcaF822hSlto0LP8OM2JGkFJSduuplAawmbzebOT
-RxAWtfrymXAa1hben955YwTMrSE7KJE0zFFP7l9eNwIa9ocXxC7WpMTwT8tH
-oVScZHcqkYaDX3/l6r0ahWPIMW6X6zQseCsHOCmP41PpiG9oPQ3pRqJVYZRx
-VDM/JVIaaEi03NtQ4TSOFW2B2xc+0bB3mEcq+8Q4bF4r9l1qo+HuyHA09fs4
-6If7xCq7aPASmBij51MRVv9vhj6LhsP3TMv1F314fcH3n/ur6FitF9X/To+G
-wt5v0afX0JFqkDF0cBMNfEEtmjs06JAt+C0x4UHDOS6P/kltOgKr8nJoqTTU
-JYx3O5jQkZFkyk/jpy/uhYCs4l90GNAaLI3/0BFy4HjAgZN0zIbJ2t9YxoC7
-qsIH5zg6BGPKQpVVGCgu/apAEuigzDzmO2LJwPp5iVLFv+kwu7JO0T2RgUy9
-Q7ED6XRIyidVHJZkoqbdP7bwLh1PW24x7lmz0HFsQ/TYDzoiLupLx7mx8GHO
-XKKuh46hxNTOsEAWUrQdHuX/pGNCvCPqwSUWfq/ZIO4xREeB/wf+0i4Wvgeu
-D/7CpCNOYZ9Z62k25EfqtfiXMuDzWSFgS88kktopVJgyIKF2y+qfyUm0rN/H
-tLBY1HXvVsWsKAcH9D6YWxAGsj5949llwQHZJnYbdgzkbfzLW+oGBwepX4R3
-OjNw7sEdDaGDU6DGZGi8CmJAuQ9i+1bNQFJ0bLAgh4Fmo8glNpYzuOZ1u1gi
-n4EznltDg/fNYKHJ1ybhJgOXfhdWJxfO4OC9GpVDdxgY2JFLVmvOwrJMtXnn
-cwae1gvVJ1rOgZEpFpHYzgDvL5UXGx4vYPKvK+VnxJh4mKX640z3AnLwfNRw
-0ceAvdn7TYT/YIH29uKIDBNf8YnSvfcPnHp3r/JSZKLrZ8opOWEu0veGLuqj
-zcRYx+hGgzoustnkTX+fPROVm7esSD/CQy50ZspyJTMRRkm61pjCQ37vFymv
-+4cJg7gI/60lPET2R7zo5VQmtLbSB+V7ecgeHhvKuiwmXOX5aBtdeMmwjAA9
-oYQJ1XKjGdctfKSrIqirtp6J4PNVPFEH+chOg0H2y0Ym6mPxm3qej+SFTVg+
-bmbiqZPPS1oDH/lu/ONK+VcmwHF39HThJ5p3x2gtv5k40RkksTZagMSIDb58
-JsSCfmOm3IVcASK8j9o4IMKCS0SBm3etADny2DdDRoIF155PNF8pQZIy+yEq
-XpYFnr3bnsg/EySX7NxPJ69lwUnL+IPmCmEi59IS4+nEgmHjzU0eDiJkl/qu
-+26ZLOgZqDNDE0SI9T+nqjjZLEiMmM/ZVYmQzicetbl5LDyqjs6z0RMlTWny
-01MlLOw5XWMxvEqMBNZ8Th6vXOQrJQ+9XSFOPIVTn/74yUKAZ7B9rak4ifXR
-CGr/vThPiNO71VucnH6tJ9U2xsIa4/8Sh4vEiTKfwMWeSRbe5etVN2ySIM7G
-aw1sl7LxpoPyoeOCJFkRZv/S0YiNhw2X155+Lkk+1uyl3zVlg1eUt+PHL0mS
-FuQTIE3YuCTd2dVqJUUsrFeFTduz8bq2sEtJQJpcM15zX2kfG+vV/+XLfSpD
-4goObBm/yEbREnqcAF2GPLvb9qApnQ0F1XmxE9rLyd/aj8WfZbNxr+1WRFHR
-cpLV9t7ydhEbefofT9WUrCB0UT8FZjUbX2JMAjeNyhItGQvhSDobqwOMd/cR
-OdLTV6p4doqNYgOVy/7X5Ehk4/Ls/D9sBCjdkdvsJE84ysLPecQmkbwuucyi
-RYEQ7i6P8HWT2KE9vC6fokjauTdGMfUnIZzurBeUp0iEHGwXEkwn4eYRa34u
-RonsC0yKaN86iat+rVa31VSIQWOwj1ngJNyrcwVK/FTI7oxIQ3JkEroXuF3M
-b6oQ9SpNutuxSWxnb6hx1lhFHk5RLlX+PYnIjJCYcRtVohYf3BtcNokRdcHt
-xoNrSI5rCH89YxJx59N8imzVyJpnwbLyc4v8yyVUarEaidnOr3+en4P9Crau
-SZHqxONSb82DlRy4jtn8k2qiSaLNletsyeLd4G02Ov1Ik2Tx7bY6as9Bk65W
-zCE9LXLLaAmneicHGnyRhrwb15IXuvryjwM5aJB78o4Zr002nDgToZ3BwQ7/
-hLR81fXE9aT2Pd98Dh7kFvPKf1hPVJ9rSleXcSBtuKa1VE2X3HFRyRqq4eBn
-YOF3N7kN5Ghlsqk2kwMJ+Vh7mXMbiKfmce+yPxyorJSTMZ7cQOwrV9h7iEzh
-zFnpx8UD+oSxp9lts/oUFC3OUUJ4jEjW9ijPLM8pyNj7hy+5ZESW5nsZ1gdO
-oTZp4eGTVRRS61KZoxU9hVazOvHy3cZkwKlZMu3KFLySl6R/5jYh28OyWnPz
-p/DveMG26+Um5IEYPXHg/hSuLit8DQ1TkrNn2kbn0xT4Mt+E6NNMya5UxTaj
-71OQFOKLXvrOjOBQg1f8yBTEGV9bjP62IBfHOrpZwtN447rvpu1XQg7dtdmY
-6jiNH7rid98etiSvXH2yJLynEV1Q+IopZkW++jBAC51GelaQmNshaxJ5uJO7
-I30aznaoWrPOhjRZv1caK56GZbWD1yjbhqxxF7wSWjmNR2pDnvcq7Ijl6/ty
-Xf3TKLe2YimVbiZqLQqzbVPTuGF6SObUgy0kSKnm+3axGagseW9RxbYnT174
-B3GbzcD91bfquI2O5EUthWbtPAMm9yWrZZlOZOnxFXY6QTN4EOenaeW8ndx0
-vNG7KmcG4v/OM47o7CDfho/KWj6dAVW9syZV0Zn0pVdaGrbOYOnssYrhVS7k
-fFnVUuHxGRzLMU9R3LSTzBDp+M/Cs7j3svXhpkhXUpLdbpShMYtrG7g8fja4
-EW6/9IhQu1nE0e/z2vV7EPVd3dyPkmZRMmb3sq98D+HSfydtf2cWVO/j6+Ur
-vMjxJRwut8+zSG9faRzM2Ev4gn9lsJmzeNrzReGC+T4S62vb4ig/hwrzYzH/
-lvoSz+aK62dt5uCS/afmwxZ/IvZf99vG0DmE9Ff4C64+QNLvPJJ2z52DaYp1
-+E2bg0RhdcuvgKY5LHwP0eZUBZHoO+cGrLnmQQ3P0X2fF0K85ksTLSnzeKBY
-9jk4IYw05hRq1IXOQ863iFc3OZwkXu42c7g3D8X/XnaYzkYQrT7Zn34T85iY
-dq/aMhlNTH6rZ9dSFrDSMObIQvFxoljeI7Lt7AI8KZlhIZpxRK/+8nmFjgVo
-bm0ci9BMIBdlU7tvUP7gsLWFmYlSEml6ZGL74sYfsHI+rjM+k0KyK5/tXFj8
-m+xb8VU2YldITYX3Nm4nLvLzip7+ufKrZJeUzlXB61xkoWCqx8g+n7Qorny1
-aoqLRFC3P37CKCZeKleDxYK5iU5jsemxkxXk3SEdewMuHuLjV2roYVpLSrhW
-Nu0c4iFHxadF+lf0kSKjk6fUz/KRsNc/Wp2qfpHn4zrf7Dr4yP8A39MoSg==
-
- "]], LineBox[CompressedData["
-1:eJwVkGk41Hsfh8dgsiUy1hYRU/ZUlin1/TUjkeRCZC3LkRmkKGlRKqRwilGR
-Yh7bxKEUR9k6tkR6muRwWkhzLNkSYv7/mWHM0/Pic93X/e6+PnrBJ9xDiQQC
-4cqv/Z9v5S+3Tz8YRVq+nExxvwxSqsitZD3sQG19Vz/oG0ijz3dckhojatCL
-xDi+qTER2cZlek+nlyKCs0/G+6tSqEohq1Zhjo3sk7ODzEhS6MSQrPnKhLtI
-vCKWklBEQN00SrRiQwZS+bAjxdKdgJpSyc/PjtxAJh/WNxxYSUDep+7ZBXGS
-kHAwkxpUJIFw/82soC+XkcFBOVr6DgnUmSop/k6OR/qRBWOmX5ZhXd6thYmm
-OETsLTiof2MZfry8FjPgexr5UMlxvXbLEKxrZ1haHI3cnNKpCrgYXJOCn1KH
-olD4H7Pm3GdiIPfTA4/TIpAz1yrb/4IY5OsZ/u67GIjhzx7RsBdDmlOUr3FV
-KJIbXDl7XkUMV3VId85eD0HxPEX2Wt4S9LhL2OxHQSj/rxPWBVVLELh+gE1X
-C0TcM4afGlKWQP/EiquH/QOQ+X+DvxgfXYIvNiHqs5O+yOVKy4sa2yX4yXqS
-seGlNzLoS7poQl4CZlhQ3ukBL3RpwjwkaG4RSpk21dnGnkg2lr1g2b0Ip0zs
-9HgcD5S/+aZh/JNFKK/Ma8xUdUPpHQ7nFWMXoWe/Ei/5uyvSLbZCuj6LECKL
-3HMmXZBecIaG0+5FSOmjR3hE7kfUzUWn7iguAlF5HXty1BFRV5XcyJ4XweCG
-vZT2hH1ovCTvt6gBEcwmJKsNkPaiIwj8GE9E0Gm3kR77g44OvZlSjr0vAu6z
-hObJSRpiVfZdNEoRwXiu+w+Wzh7ECH0lCQ0UwWe5sDLkYYfO20bTvbVFYFs3
-nNWqvhPVhJ3p65ATQQ0/RiSaoqLu94cGOQIh5LzO4x16a4PKPSGX/UkIqocO
-E+r7rNGjj862T7qEcK/18KLHdyt0sWu1xvpGIURm8LYvw3aUobDGjfgfIVg8
-1bS2vrAN3TxTnBfNEkJ5v8al6eat6JVMh8QiWQgjRlQ/McMSzcg3SX6PEMLa
-3eQr6VbmyEAyn5O4UwjIhfxzFc0MERMGdw5uEUJX7rwO+JgixwPK+yIpQrDG
-0iapJcaok3XQZO1qIWzZe7RLsWQToiU3GRROCcDxQOZRCU5Btz2io6OGBPBN
-JuBYqxsF5T9/QAz5JIDa2Es6XlqGKLvE42RzhwAcZFYxrCf00fjT2SALjgB4
-RtLqi0x9tKeAGrghXwDLMjy+84weMl/aUG15VwCPFLO8Gkl6aN/1W8pV1wRQ
-n0pVonWsRze3y9qTmQK4ufCULB+mjS7uWCPp3CoAHZqxkmePFiKXmFaEmwqA
-sTMM9GhaKGKbG0OfIoDTZPraFHNNROoSGPVoC+BnysYUDWt19HnxUAiFKICU
-4zJzx4ZUkdCyssbxHxw8tfIZl5JU0V3eRLz2exz2+o6ylI1U0XEWyVL0Bocz
-3UrZ9HMq6IraJsvJFhzaah+31IQpI4M/jWrjH+MwWhZjtyyrgG6rzI5uTcUh
-QM/M9WuqPOrrHHAWJOMg8JjozVwtj7hRtjavr+CQzTrSpGEsh7gPHXjp53BQ
-YBv6nY8jofXPFpLvMnF4q++0/UG8NNro2FF40xkH5oskWTWKNHIvKDIT7MOh
-X6rZyeM9EXHtA2vC7XF4HpVKIpgRURpP0zp8Fw65iW3lXJyAnH5LiH9ngcOD
-vBGZ5WIxyBU6G2hr4NB+cXoNfZMYLFqTjGXUcAhrjZ78Vr4E1fyeI9gqHDSL
-+4tVGhehvz19dkYeh8gt6fXHMSFIZgKMrJYxUDmVZcbqxIARdLx7YQwDzv5t
-HzkP5mAvoyKvtQmD7yaXCRquc9B6a5pMfYFBiHdLLo84B4xb9Ttq6jE4W6JY
-zIyaBe+qjP1/1WBQcHiOJVX2Awxs+7NVKzAwS3S8QH48CfxA/M/H9zD4Sjjg
-6a07AmtGQkUBZzEgmRlV9LYNQ9ZEWlrkmV891o0jz5jDoKG3bkXCaQzg74eT
-mXVDEANKrMqTGHwsFsdMM/4FerPbu11MDLglax3IxEF4yk/TJflh0HK7M9h+
-rA9WyPpGkvZgMF5Xbi4f3wfnKiV19wADm2ws13R1H0yXup212I1BqlXs5XO0
-Xrh+Ld0ieCcGPm7sYzlVPVDs2Ds2bPXrF5N9VPq9d8DkZFV4mGBQLTJ7PpXV
-Dl9akyubNTFwm9hD8ZRuB7/CjvZsDQzyXYu7T55+CfdDdcpPqmPwnLEuhuPX
-Bq+0OO83qWHQ6p3HC93VArGSNZrlyhjMcb+NNrDqYcTn9rAUCQPFdlO5a4V1
-YPNv1sK8DAYuHzZeX1FTC2kIZ41JYxAYpeCtOPQMQqSYjL+lMJi/q5el7VcN
-79TZCi/EfDDZvDK5NbEM3HKbeb18PkSNJ6yu6X4I61KzGK8X+ODv6DDP1edA
-hNAhvmmeDwm1fccs/imExK9vtj+Z44OyXZO2u00BDJKCuv+Y5QMlx6m+dAcb
-PEwDRjkzfOi2XaYcm8mBIz90mUXTfJj2Qvz+D3eAIlfFLfrOh2Hda5Wpr1lA
-V9lzv2SKD/JeNNfi67fgiL5lV+kkHx7/bIs0zLgB38pHvB5N8EGvXhDtW5YI
-XG6DXfU4H3Iip6hKpReA0aAWVz/GhzRDoudH3ZPgRnCQavvGh/AyGYbYJxSm
-jM/dcPnl/wNBM+Ba
- "]], LineBox[CompressedData["
-1:eJwV1nk4lc0bB3CFlCJKEaksRSSVQpKhQgvJUhJKJP2EpJJCItmyZcn2kopW
-EYWQ9/baj3POMylbtkpSCaXMkbXf+ONc5/pc5zzzzDzPzPe+5RzPWDjP5uPj
-+04/M98fNgbLRxY4Q8fuSHKpl6Dj0QuHMnLPQr/j5gO9nwjqf7wqODrfD3RD
-BvqHewiyuaNRqNBwDZ4qDJbzUWcKal1JUw2HWf2nqsU+EqQ9Je92wj8aQjPD
-xuQ+EPSzScTm6KUEWKS5otO4myBz36YSm/lJoNH+MMCui6DFS4OlPyemgP30
-1HavToLiawM7RRMzwAtf5WW2EzT4115QaWUWTK6NrhRuJWiXzJvhwn3ZINpw
-5qFSC0FWTUn838/fB3PfaH/DZoLk3r3afa78IYi6b+i69pagK/YKE4rKT4Ft
-9bVU+DVBhmXfclyKCkBQXmiVDougsj0OBdN/SsAp9+fVzjKCpPN26Qw6lIJF
-coTefOokKePwmrpSUNNWGt9aSpAXR9BBP64Manc6eiS9JGjf36n8IulymEfy
-YywKCXJ6vaZXfxIgdmSDMZNL0OxtxvqWEZWQ5n1tUPIuQX5Vm5nsvEroSH//
-w+IOHc/P0TepqRIEFMOHojMJusDf7mwnWwVWrccFhW8TtCxkpWz44yo4JhoY
-JfIPQWJ+B6/sflENEVsT+g7cIsjT8ELhrRu1YMpSkvl9gyCJer2bnKxa+GBi
-q+ZM/eUiY11bXgt2Nr4v2yIIaj60+ofQj1rYKM/Vrw4naIeiyvCb/XUwsuaG
-0dNQgpxD+n35BOrhf+EJW+uvEbQoeKFb0bJ6OLp5a4AFtcmAT5m2ej28KHth
-1h1EkMg0yzHLph4+Vg7HjQcSVPzGZUQxpx6aS0ufGF6l72/NV/4Nu1kQc1Jy
-7xp/gkJyFKt6jrBAxjDoMMuPIPni2PFT7ix4YV3w2526OH/emeGbLHD1asJl
-vgQdGkjwn2pjwZOT16RdLxNk7aS1w/pYA4ieFcNiPgSZWZr/d+ZMA0jtf5vA
-uUjQq50OhccDGiDrcUBvOLX25SqbtxkNMC9eUG4edaPusx+8jgbAnhXzpb0J
-EhX57dPb3wBqSoWyPRcI+ly9QSZ3rAFOTva/fELdzh840LKUDb5V6jd2Ugtd
-u+wYasaGevFdd66fp+fF75N/6FE2qIWlOR2izrA3NnZwZ0NjmhtRpnaO+Gyf
-HsGG2e+/hL09RxDL/brz7BQ22H34340n1B/IcIzBAzasU1p67Dr1kflzi82q
-2PD9iK6fHvWtKfWTKxvZoHpRoE6W2jRKKb2hmw3zdRM+T3vR/foPU2A+wIYT
-uKztI/XmMMmpF2Ns+PXM7k4t9f3lwo0jcziwTNdV/yl198XaIHEJDuSt7y9K
-pG4vfMDuUePAY8vi9W7UnX9uz0nW4YBbjuemI9RzjUVdVI05wM+9sGgvdZZH
-kW66JQcSbTa83kZ9csX1lsFjHJhOXOmuTr3uelyQrBsHkkhbvyI166ti9Dof
-DhzMnbtvOfUijeeGMsEc0DDzilkyM3/vLyPfYjjQfmi4RIz6hMudvuQ0Dli9
-vsQRoXZ48+eE8gMOfPwhxVowc/1s/ZLkAg5sLST5M7/byc9Z11/OARRrHj5z
-fWzyMkFZFgd65oabz4y/xSrixsYm+n93CZGZ+1tJ5ggqv+fA0ath/87ML7VI
-qoSvnwNiG5JOzcxf1aKgv2yEAwn7xUR1Z+4Xkt1t85cDfgd68mfWvyH+dFv7
-PC58WChjbUstHsiRRhJciEz8yudBna318UvICi709aUUBFEbxi0JLFDmgnL7
-7TMpM8/ntIpS5SYunPsZta2AevS2lnSRLhccNWWkuTPvb2FuSrQRF4JVFRb2
-U8+Ksendd4ALns/ur5hH3/9kp6P2kA0XQiY5JirUh0LN315w4kJoWm+6KfU7
-LPKrx40LxOvE0nPU+aE9r7d40/kyA6Wp1LYH/7yKCuOCWpd72k9qIQMOir/J
-BSmlqx9X0P16t+mje0AqFxYFvnYxozZrCX+2IIcL2W72+4qpP/8Q1sx9wQW5
-JLUXQ9TEOXe3VjkXcl46n1em52NR1tJhPoYLHus9JO5RZ7Jsfxu0cGH9+Yuz
-eqkfatXZnu7mgkaevYMSPX9qx7ds8hniwj2+vNhCah0D/7l2PC606Kqc5aPn
-dXGpz5K101xgmd//aEo9+cg3I0CEgQl2RPxP6jJXVaEICQZexx9Zo0/zwEvd
-AwXKMJC5cfeiOOq7FzPKNdcysIZwF2+/RNdzQtaCqDMw11Fu6y1qbSkryzua
-DJzMXNA6TF2jtGZL5U4G3qRwMp7RvCkxCjqutZcBvrXW7YtpHo1HLotLPcBA
-l/K3/EvUi2/9G69qz8AL/lhbU5pfi32rxfwuMBAn61m05ApBgWv1bJx9GVj8
-tGswmnpr8t/q7YEM/JRbvXR+AEFnTFtjXkUyYKky23UBzctbgV83OcUxoJna
-l3uTuvW7duBYEgMx47slpWm+NmfpZ5G7DMgKXw/fTPN3IiW21PYhAxmpg3m1
-1KwUi7/5Txlw3z+2yY7mtbm1RoL6Swb8PSSjbgbTvD7Va+vFYYBoL3VQonnf
-lWt02L6RAdSoqNVCPek24ru1hYEUjciRsDCCDlcEPKt5z0DbZ0mvcVovNmXb
-T17oZWD53ee2JbSeeJGwz5LfGKgNuHfFj9abVdHjszf+YsBrZCl7YRRBEQd1
-PB/yGKgRqlP4QN3OLhsQn2AgSEtDojCanpe5NUFl/BgqHgYpuMcSFLrDfpWb
-BAZxtRWzliXQfF6L51yUwiDPNZUUTyRo58ZPTeeXY1iotD1HlNa/70nVMXsU
-MTypaH4nnUzQs5DBvFXKGJbX7ipZm0IQf5Pniu+qGHqnl2XrpRJktOnd3iMa
-GJbkCur50nr6fPUxnb+aGH61vtK9l07QZZOgjiQdDLurdb83ZtB8EUyMzzLA
-IFCyYsEuWq+LEzW815theLta5dnV+wRV4VVaThYYVD6lunQ+IOhUm+a7yIMY
-ZB0rJfQfEXR1XH8p2GKo7mzXXJVDkEyed0fdUQzlYz2K6U8JWq5v01JzHMPl
-28IT8nkEOfpUwR0XDO+837rvLSAocv/61gBXDMG84OSB57R/UBPxtnTHoF9e
-UZdM+42MKOnUDi8MVlPzvcRKaH2uF7l71h8D207DM6SCrre4c/l0AIYwhVrF
-oEpaP1O6Sq8GYTjdU/Aqopqgm2N2T06FYjCy3mlTXU/nWzQkz4TT9XL9THgN
-BPGlvhNSicSw43cHnxaXoJz/kGNNLIZ1wZHsvkaC6m0yJwTiMQyZNs+ybiIo
-12P13m2JGBLvzdFpo/3ZPt1mk8gUDMYvvu0Qo/3dsV2VCg/SMPDazLzqaT+o
-vdCGvEzHcGqBomMC7R+vhQdz/rtD348R97HrF4J4o5W/X97DEDMg8Ny7n54n
-47+HH2TT8dp/d6QM0ufft3+l6yMMSXd/+6wdoet3m8rUe4KhwzlaMHmU9pNt
-H+4IP8UgxBPpk5ug+T1L4nj4Mwxdu5UjImfz0L1543q6BRj2mJwaPjOHhxoU
-d3T0PcdQPMrwzgnz0C4FVqRCMQbXrh7J3kU8pJx9t6LwJQaOsGWcpSQP3RSQ
-+IlKMWSOFrn1y/BQWfM9f91yuv/E3pvcWs1DXUtcx3L/xaDV05mfp8JDAYel
-cpZVYNjiE79tTJ2H/Ou0s/z+w7D9yJfAC1t4SCBE+2drJYa10SdNlbbxkPov
-lwzVagw+i9+kiRvwkEzf+KuLNXR/Vqhmaxnz0PmyqGtjdRh05l8WNbTioeSp
-U8bqLAwPZAe1NtvykOecY8/tG+h4Bgf+9XDkIY9mqeZgNgZFQTeHsf/xUONR
-xdIsDoZsi/2G787y0KX6kTPlXAz784qFJC7zUGl2Dz9mMIwz4lV5QTzkG0vG
-O1/T/ZQu7bk6ka7vs2zKUCMG01Cnke+3eUgud0jszxt6PgoXlO95wkMlb1le
-Y28xTKw6sW9fMQ9NHB1ifjVhsI5+dmO6iodUGny29DZjCBpaKXyukYcyrZyK
-uC0YZunpbyx9z0OCB0OO57ViEHSRSPgyxEMZEclG4W0YHskcNRL/y0N17uoX
-bN/R/XbI2eiA2CgqDYDJ1e0Y1sefnqyQH0UqKf8MfKXeUanUfE1zFJlrj1tm
-dWBQMNOZLt83ipYz3w0Od2Jw/5Vlmuo4ihyEnWsEujCcu7PeYa/vKPJQ0hl8
-RG2uFjYtdGsUtW5eVW/cjcF76kL30uejaMfxpye6qc9p93XWvhlFj3faNLq/
-x2BJitq8ySh6ruC/nEcdmpbhnCzzBx0ysLK6+AGDyc6H2S8M/6AKmcmQYerF
-C4VKvc7/QT7F5ytPfMRw/9Umz8yHf9CrT5kSjdTvf+6S0/v0B1kGGN3Q7MGg
-XWOsE7N6DFm9Et2cSH3wGCnceHYMpTuFLB+kLuEc2qBfP4aMJFdY6H3C0MR2
-yQhWG0ehCSo9YdQDdZyJmqxxND3S+45D/VbN0XinxgRa+MPVSLgXg1mQB/H/
-MIF+L4HNBtTK5qG8W8WTqFiKlX+W+my3gQKbNYUG+Q41pFGXk/IFZhp/UZSn
-1A2grjj0QLM1jk9f4f1Dvi7qjdeMVQ7zzda/13Jda2Rm/Cju4EETAf1t6hK6
-gp9pfhYniD1Pnavfvfe2tBj1jy+mSw5zxfV9dvDvWUR9rOZ0w7lfS/T/DzHk
-Bgc=
- "]], LineBox[CompressedData["
-1:eJwV1Hs0ldkbB3B3Y1BUGmGokEsGKUT0RIlcxyXJZaKbkSZR+ikht5pTo0Ri
-KrnklFs5qZ/rsB2mkTi2pBCSOShyOee8u2gqzZ4/9nrXZ613rb32832eZ9Xe
-CK8DEmJiYtH0/PfVNGC7LhnDiG07Umv/VaapkM92UaBWsbu1mssXoJybK+W/
-jmJ0xUWfdam6FW1WvP76HfU5/Z1WZ+62wySro7ebeubYMm//gkEYOOfz+QG1
-0e3fgmS0+LDiSd3uS9Qq7J8z78aPQ/zvEZ/2Uxs7DinbL7yFuH/apzZQ13nI
-8ScmJ2Hl38pWX/kYlZ7P75WOmoKiQ4fftVAPvk3fL82ZhgxZwaJkai6R0Cis
-noGVtdfu2VBzvhnZfT9rFpzB57ngb4yyXu9ZzjYQwFbXmbQ86pkCj4TUWAGc
-rtLhO1EHnmQihc0CWFyaOzw1gpHqc65Xm7gQuP0TaReot+c++DbRSgjJFSnz
-OtSzkixJ23AhnDrdY1D7GiOFOzme49lCiC02NHKiju07KGPVJAT1kRa57mGM
-5gsVL3aOCiHc6XGHL7XW8SoPXRkRvCx0SXjxCqM2r0XBt3VEoJrqttaTelbl
-1tOSLSL4YW6jfdcQRl1RsgFdfiLw7M6Sc6GW5zSabIkQwfIvPizuIEanLT7P
-6KaIgJPh17ae2lBNIqg4WwRI/PjTggGMbg0YeU6UiGDa8HCJPHVikGyMTL0I
-ZBPm/CJfYuQqlSNa0U7v/77xTXc/RrIuH/qtX4pAXLA7yJRa72R+edxbEYja
-fbmsPow03V+UkPciiL9gpj7ci1HBDh9NjgQDmUZBUabUYXtV2Y2LGFCY3tgZ
-94LWV8fjpx/UGFgcqmbR+hyjzEkNzW90GdA6+GW7ew+tz57Ao2utGMh7u3/h
-wjOM3IObYs/aM3DM9+arR90YXbIYqYpyYaC2un7m01N6/3T5L3PeDNxXaTY3
-pj6Y5eaiHsiAa1ZJXWAXRj8yy8NH9zFQcTko5RzGqH44INQvnAEX1d/Fu3kY
-2Vo4rdl5kgEPz5pmYQetv66fzJsEBp5kP+MrUtcr9SpZnGWgrIsdvOkJRtk3
-V3upZTCgrpPR5tqGkXKwqkVVNgMnY8bK/R/TPPfxSjVyGahxL/4c/hdG/P3u
-Zj53GGian46OeIRRn2+Mg2E5A6najskRf2Kk3cgX9nAYSOoKPnagGaNDLi0h
-nFoGPlhf3xvAxchkwGRutIGBGJ2hBbcm2v8eXzvfc+n/3Flfg0aMdojLVlS2
-MfDw02vNJQ0YpZ6XqQjhMXBxRq18rp7O48HUUVEXA+8CzIxrazHqTzo739TL
-QICiRvTy/2NkOZJhsXaUgeaUeKsDDzGycrXR6htjoF2jQ378AUbH9J6Pyb9h
-oHJh29XKSvp+tRbr3gkG4pFCrj0Ho99uyCutm2Xg+01ndGQqMJLal7mUK2Tg
-8qR01V93aT1iD/+5mTCQra2jCGW0Hid2YemPDDiGZwx9KKH5FfUf+PETA7+y
-GnllxRjJ/JqkfeELA0c1M1Yr3saI+NltfiZOQHB01PRePkb2VlWoXo7AHxnC
-3DV5GPXwbg63yxNQrVQovZ6L0aRj6nyHIoGlSf71sdcwMhs01S9SJjCVFtI5
-nkP9XrAxdimBBpbWDfdsOj9v/S0dVAjIifckLbuCUYR13MMHqgSU5NeXRGVg
-dPlIgcRuNQL8ADU2Lx2j8bauIZE6gdCxZstTaRilSc2USGsRuK94Iu7eWYw6
-7Ra3c3QIPLnzizRJwahaW6Vbcg2B1HndqxbJGN01OzrupkfgahhrsjIBo6jQ
-LTaPDQjMdxypm4rDyPxqz8d5QwIF+awy7dMY/TGzqWGVEYGY955yrBiMttxY
-tiHQmMDu9IHE6hMYedad9TxiQuBnMe/1/ON0X60Q23HSlMClBw5+ZpEYlbSN
-pJwyI7CWt8eZE0b3U766nIkFgbZHPMO2UDqPSv8MKlgSKBfERQ4foHlnX3w1
-St0klegotRcjZ96Jj8lWBCI5d0aWBNN+zVbY5WJNoBVq5jR/wqjs3YdDipsI
-GOV1lJv4Y7Rfan5dkg0Bboun7wY/mp/BlZXmttR5LekWvhh9K8224VOHTIjz
-1nth1IS4YeuAQHpct0DZGSO0cCY4x47A9KHpCkknjIZaJc7r2RNYcF6lzzjQ
-fTUuza6kjgsz39VuR/eharFkw1YCk74V3z0EjExL6yNsthHYUR9ddM0Wo/v5
-Dpo11N6+1eYhVnS/eeikFTkQSJtK3mpniZG1pnukynYC9UNgqmWOEe9a4XAS
-9f+6Wmt6TP/Lv/+GtyOBPtO8oHJjjCrTMuWrqUN5p5lEI4xqQ023fedEIFrq
-afxOQ9p/rISdx6lFHZJSevoYPeaNuXVS/wvg/QWA
- "]]},
- Annotation[#, "Charting`Private`Tag$5186#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJxlUWk0FfoDtCtFoiL0hMrSU0mhxPyUslayp2RJQkQekhT1QrR6KEpS1hJp
-zxpZiiJrlhCuZHf361r/ff/POfNh5sPMmTMKrr6WJ/h4eHj4eP+Q5//hIHBp
-mi9XBSOnTEeMK/ehdrxCXCBXB8reFXMnK20xebPBc1GuMUrdThpnVLrDpFai
-fnWuPY63bvCWqwoClKWcnXI9ECSrNzpbFQlyrvddYF4wojceLoj8dAddnGKJ
-hpdX0XFc7VhJTSZuhHiHLWpMggdX7NvMh3cQ4FoluO1NQ87qCG2/R+VQMA/Z
-/fvBE3QrlDyKxifIZM/y/2WTD1/F7emN5nVQO+V67+r7V/iSwNRu829Eda38
-Iruodyj5XRqT59+Cp+ct7pzzLcLT8rKbdx3a8GPAsHFg9wc8aPXuKhLqxOFX
-JkbtTeXIMIuU2dLXBQOz3Y7tPJUoY565NxH2Ew+H897eNKkGc+xEoQt/H7q0
-touIsT9jMVVPa/fRfpT5qQ4/fPYFfjpP4oISKfguIyqaOlgPrx15hWbDA3jZ
-JX7dbXsjnMJDjPdsGsSVr5U7IxY34w3MPBPsf6OOLp5G2duKhsPXzgbcHcKC
-w9LOgcw2ZEa6+OiVDOOiSp6N7KNOvDnNL6w2NYK0jLphw+U9kNNdsOxSG8OP
-a+NX9OV70BfndPvQ5jGItS2zNVDvQaQgq6hacwxeBwo/uJr0YNqiuSd/1xg8
-Vv16v/JyDy7NsB2uHBiD1jqFXENWD1wD3b1U/MdQekYzYSnlJza03etxLxhD
-t9uSMYvJXkg12LysMxqHQ3FoisVUL04tc85LNR/HHadDDna8fdjUs+LZP4fG
-oaXptyxEsg+sgq15q4+Mg//X4SMrdfrAH72v48TpcTjrCfDnXO5D6S+Pvxfi
-x3GbK/w4dk0/Wmq1R3T6xyGiP+oR6E1B2PtV7pTQCRgxrtGqgijgU32i53Fp
-Aq1Zvg1/XaLg/o9YjfGICcSUrikYTqBgZdEmP87NCQwcMbH89YGC9YyNNqKP
-JhAlmFEQunIAjBv261A1ARMttYDgTwPw/efn2lLRSXwTKnMgJoO4G5gYuvfh
-JMISDsqX2QxCXsTctDRtEptti9tMXQdxvtvGUjt7EmKj/x29dH4QiiKJkmov
-JiEvJbUvIG8QmbKqXhIVk+j/b5P7xVW/8TZmjjIxOIk6Vs+ZW5O/UV4vGeUj
-RcVdn2UtMXO/oX0hRj5vNRUyNlgTt2QI/h2neyZkqRioU39aqzyEn6dKG/zW
-UqEu0nS/zXkILiO7bgepUiGSYJYf3DqERMpsebQuFfd1FHuP1gzDJ7tSr9GJ
-Cv4Vb1/4dg4jobf4ibHrn3zvwevxo8Mw7A8+WOZGhcFzSv0KsREYPVlmmu9J
-RYdfaTzdagT/2qcuivuHimdbs0N3UUbQPB26wi3qT9/5zpxe8TGsbPjSoP2c
-irBbFZmn142Ba8Fz/N0LKjKds+MkdMbwZqJUX/s1FbvKvjYmO42h1nuhRbuA
-Csep5JbS52PQpL67tquCirdL7JIOW48jR7D8gXUbFe08g0t58idQ3iPnULFA
-xUzxYobkn5/UhAVqFPho2Pr8swM6J8CEwtVwARrW2/bt7RaYxC9bMa7+Yhpu
-zQoW7Tgyiehj5q8/SNDQrnnpu5kQFSFcT+HG9TT4ptBrI8upkHvYOa9lTgPT
-Sd0nv46KydjxS6kHaLiSXBM61EHFOSu5kyKHaFhzQHXfFToVDq76Dj9taChP
-stT1WUeDAOli3nCiAeoRmrLX/viUu1fn/Wkw3f8rJcuNDlh//Khxj4YPFR7+
-/AF01F2betGdTMNBZ97DAf/SMdYTqh7zkIa3sf4Cdx7TEZykXDeQTkOohtzp
-7j46vh1xqkl9TkO1wn8lj90Y2JigcWNbFQ2rgqs/WIQyYZqoYttEpeFrE59m
-1k0mHNpnCmIZNOxJfvlB+hET4d3U2kNsGpa18C4+UM1EwKXGqeYZGvhWKL4V
-lmDhfUBLeq8QHV8oXcfG8lhgTZUZya2hozAyqmgvDwe8nz8FrzelQzbGkbJ8
-FQcjT/YmTJrTQfPs2M3zNwcbkirCCg/SwY1vbTe058DbW6nS0ubPTp6F3sCX
-HED03ZYbznSk1nWal/pModo7pVntLB1Cr3a9tuSbRvJzmUeSGXQErTjzXGTN
-NN6kHjWbzqJDv/eoLlV7GqtpXYy+p3RkT5UU7T09jZUnPPa9zqdDuSY3Y0P3
-NBwzViieKKbD1bN1cEPlDMbTg3Zzm+mIr7SNziqcw5LKMKcpfgaScgT1yzvm
-4Kpkz1MvxMBcqhLvcu4cNgV8eZW+mAHduc6P1jrzKB5JPWyzjIH4WAee0IJ5
-aN1Lba6QYeCasYlDVfUCKgyaFdo0GHj5Vqnw4yJecvqfqNkBZwYyBjNtDeR4
-CUXGOaf3OAPeJ1cJ/NrMS9KV9+R2uzNAb2qUe2DHS6apjq9+eDPg/Dza8Uc2
-L4ldFyQyFMzATy+L0+OWfIRmXcNrGMuAAF32TtpnfrLzYI2ybAUDKsEF60sp
-/GS+8llaTDUDnz0sHVYt8BM7ldrlszUMvNEf+nhZS4B4HDFpGWhgQDqq6bVL
-tgDpqM93qe9hwGjPoc3MREFivv65ruAMA/5tkQ1m7wUJv3FiZcI8A99NBfsn
-2gRJ+VHqZRU+Jvo2XzGXlRYi10UPvLRe/EcPjkyoJguRf01UnT5LMfGMY8WS
-eC1M9pxQ01HYzkRZb0Xvo3Zh0l5z0aFNh4mq9/maN+eEidFgK+/tXUzwpc7t
-uWK8iIg/OsVaZMiES1NSzRLKIqK0/dtSGSsmAguDLb9sFCHX6y2kS88wEXcm
-VzlLSpS80s4x2/mCCbdK/L5gJErONUSEC79h4kW+0qXvZ0WJwFntlLb3TKT0
-dY2v6BQlxv1KeeFlTPi37Dk6ny5GDsumd7K/MUHlKV+isVGcaOYNhJ2bZCK3
-S8U/20icnCWCIcEMJpZLip3ydxMns1EV9SEcJiL+cTbmfyhO9DJKsqIXmKgv
-VU3Sl15O1nr+nG5YxoLzxR0UVzkJMvhK956oBgsHD44G5elLkPp30xv3bWfB
-qy7nm5uLBPlRm5B2eQcL1ukRwquzJchKD9dTwrtZME9pMGrZKUkkCTvQwIoF
-yf0+NU5nVxDppjOvw4NYSO2PO1XpKEU6Ph7TvVjGgv3JcNnK21KkzbVTRqOK
-BXehv/vOVUqRDz9+bBmuYUEsTLNq5SZpMvpWVNezmYXYxxKRQSKrSZLnZd+n
-gyxMGxQd8hqVIa3+YW4QY+Mo5UtS+kZZ4jVatXS/JBuR8Rv7271lCdfTkeEs
-zYaGjl+0IV2WRB90/nRfkY3ewKtdFYvXkIB1BvlO2mzcf3c3qtpPnkh+7+vc
-6spGxmVFd+8KeWI/NiOQd5KNiPQbbQVL1pJv57Oqt/iwcXVtUgrFZS3xum8a
-uD+YDWe7Hak7pRQI0XnrMHiTjbsf56K0niqSZDX+prwSNgylJb0+9SqSijrb
-/fkVbNzcs5P3iLQSSbHm21JUwwZHX70vPUaJpN1Jej3eysaB5Mwf0aHryB1B
-alrNBBvJH1O+pSZvIPJx8/MXFTkI95155zq+gfQG3bIqVOXAUeAvLQ6USYfK
-udf8Ghw0RpoGNo0ok0x2Z1w5OPB95qAleliV3CNXJqiOHBTbrvaTLVQlI+pn
-ytNOcFAmqtd4aY0aaRvaXeLuw0GsxlxK1qga8d1Z4PzXBQ4OZb80LMn6m3ws
-ubDe8QEHn9T/dRxfo07ef6Pz3MvgYOmlW0c331Un9g3Cj4ZzOTD1a73nELeJ
-7Lffm/OxlIPsO7etOh22kGcNaWPufRzkVDTkhfVtJbX/afd2qk2B/vdSKx89
-TaJXF7zq7LYpeEYmbFZL1iRPtHwj1PWn0CVkIH3ddRtZx6cUOnpoCgJT16xy
-VmkROc0s4dKQKURnJ36quK5F/qNeXqMfMYViSRXdRiFtMlD4oLf71hTmfmk8
-viqsQ15+U8kMy5iC0KY3IXoGO0m3clWAW9MU3nUtmy/v2kk4m4KXTHdPwU6y
-3U7koi75Ebdw/+3wFOL2pD6Wbt5FdKsfizzh5SKkOnv76waQLfL1J+I1uWiG
-5Lr+Q4RYBuV9vUy46CmO8q79QIhL9D39x/u5UFE8YVX2xIBonvY7FeLBxZDI
-xZPhpXtIoo+15odULopC/j3Pb2JItOVlX5zM48Jh7OzOOx2GpD+cYmZUzMWX
-i9RFHmL7yLHLN5RetXMxu3ksNPjVPnIj5zP2/ObC4uiF77ucjchy8bqdEmwu
-Yh02LAw2GZMLX+afBa6YRu++tl8jSSbkN3vbT7F10wgQXry2z8uUdL+54UXV
-nMbJvgwjf3VzIrek8MJd62mU9iVuM9lgQZ4O15p8SZqGfsZMm2KJBbkVUCo7
-mzONRRHuB6qOHiJiYuFfb5VOw8bY7qFZgSWRT5TQow1Mw9lUVrflrBX5pPXd
-9/PUNGQS66wDdluTnGsZAStFZ/AuNabiMI8t8Q7oT1PWnoGY9+NmebYtMTZk
-qnPNZ9BUf37Lojk7sv+b0rHDx2dgZbjNf+VeB5ImXTxEiZ2B4zFaj0bMEeK2
-vrX/r6czuHYlNv7M0FGyKm7rwOKKGWhtXRkcM+NE+gaHfVZz/uQpmEZd/OFM
-XG6+WLCWmMXBa6ZGgV9dSPptu1+nN81ian3HlbkmVxLRqH0x0GwWeYNyEjW0
-4yTSVTwu2HMWhWVrJ7gbTxCJCK/I6Kuz+NkiL7Qjwp0477S/UZQ9i3HRDQ86
-Mj0JQ9DIrXNsFrE6Awo2IaeIh6qaDVd8DvLTLYfP/etDhEmdV4rWHPTMgvNo
-tb4kbiRQeNRxDr2bc4+lqp8hG64XTgpEzSHCQGXHw1R/whQqWCn1cg66fa3l
-TvsCSLyyYrzlzzm4tapbFakEEfXRbb8nxebBSDcokrQOJnxZnUFbDOYxYOEd
-pNweQp41H7vuHDSPYz6p87o1FwhJ6WrvyJuHTNk6u4HUcHLs5O5yodF5FHpx
-2P4vL5Nto6+K3Tcu4JJncQFnSwT54qSsHe+3gDea/nIieleJveyqDPOiBUim
-s7KuC1wnStJtI3pCPIRZJD876HabqMxslMncykMoopzK2rNxZK1UvtvD4zzE
-60Shk3bUXZJOERhTvsdDHG1WzauKPSBvBBGc2MZDnDi+Mj2nH5Mrr03ft6zh
-JZW3eXnHdLJJfZLK9lRfXkLa1rzPy8sn5RdZO9DISyRUHFimt98TTavPltUm
-fES0xq6pXrCS7H21R2THIB/h6nksX2hoIXxfe8KqO/jJsEbhVm4KjUhQnkmx
-ogXJx9i4HBdPNmkRiHiwnyJI/gfrYPd2
- "]], LineBox[CompressedData["
-1:eJwV03k01P/3B3DbkCX7B2lsZYkoUlrIffkQSciSXcgWERKypmSptNh+kiQm
-JcyESpaIDyMkIVlSlGXKki3znsUy3/n98Tr3PM695zzP69zXS+lsiK0vFwcH
-xzv2+f9a2BfdLOWGoaGtj+M/TuOQ0mZqoGHSMHK4lz09Jc2DLquIjJYbtCMt
-tKnjKMaNyGF87xZS61CcivvoNS8uNMqIqHAnVKLKu5kpqWOcyJqpjc7HPEOC
-CcX8PZGcqPRQbxNXQhFqSlINtVPiRKzXG1tfyuejCNPS2B/DHKiniN+XpzwH
-eT6el9J6wIGym+NI8fUZSJrrRCKfNwdKE7FUTs28jZT/q9pN0eFA5RO71JuF
-b6BfQ2dFynEcqNT3S/1GUjLadbn+L6ueBWMavhKiL66hcL5FvqthLNB5X7xF
-6mwiWvIOejGkxQJTK/K2KkYcUsDLeOotbsKZizYfHXujUWl9dwH2ahNctJxy
-pVSjkEYFNN1N2AS+/4rsI39eQp/O/Th6z2ITVDREzbctXkTaSy8G72/fhGFK
-X+1WFIZ4SvX7nRY2QDfYlXo8IwQdz60xuNW6AT/Kv24zZAWhUYOWhtUHG5Cl
-5Net0xCIPNrxY16XNuDGe3tD3bpzCJ+zQS6x3oD6huWk1EU/dO2vpkye5gbk
-dc5zajv4IutzAorbBDegaPZrl1z+WdQ9sEI0616HJ8MjgwYhXigDN+z6H2kd
-/uSnx3B5eKI9z3V0vDLXYWz9Nz6I3x0pRhgrNrmtg3CZ9PK7QFdkVcy7y8V4
-HXD9E0zuBWck+89G6xeNdWjukC+yPemI1gWFVA+urwHXZzWNCCUHRCiv8MZR
-1mC6xr49R+g0Yuyd/5XUuwbx2E6nXLwdUo3LDwp6tgZxq34JcfPWaLbQ10nQ
-bQ0mjyitV+daoZFmrCPixBrw4lfyOh0t0dOPJ/1OH16DQD9aIL+oBTLMPnrB
-Q4bdV/ujZ4M7gfBbM60St6zBTwFVQSK/OaoccDjMzWDCXeKJv4b6ZsgmNlxd
-YZQJlwS8OJL8TFHY55b/KruZIL+vt3L54TH0/uDJ5JwmJohf2ZplvssEDaSk
-TVsQmMDTvzQo/swIKV33WsCHMuHySITz1R1GaMHQ+0SrDxNyxET8CASEUkVu
-1hU6M2EXibQj+jygo1W6EqvGTJjIaj0rutMAueHe5I3LMsFawTTSzlcfKb+N
-GhUQY0Kq/emcadIRRPPXjPPkYwKv1/EDiQ6HUe3b33IpqwzAOmJiUxf0ULVo
-n83DXgbECZ1QFzqrh5Qnvj5Ye882c50U9fUAKntKm4t7x4DgyCh1hZH9yGPk
-lu4EiQGx/TUHFbfoot3+k7OKdxkgtvRpkrBFGxEVomv67Bkw1x6Dqwvci/7R
-X82jWzIAhCe1RTr3IIkbQfV6ZgwYPLNToCxLC+mK/XyNHWZAG6Po52fX3SjK
-LSv5siIDJs2/v/uWq4bqwh35VZfpsK1j9SVeSw0F9Iy5pc/RwRKX/VWcrIqa
-d7vEclPoMBP2N428roKOELeM7hilg2A3qWIlTRm1DRlT5NrpEBzFqI7k2YFq
-T3pZdD6iQxl/SfG5RiU0k8Z02veADjJbbrNmopRQg4XuvWc5dLB/KigbvKyI
-CGIzL1+n0yH5lgk5a1YBSZjueeAaSwfd+l4fx1A8+nvuy61nLnTYa7HZThHA
-owgptNboQIe2nUkuEc+2o9y88dnvtnS43Hs8yJUii3aYP2o6bEEHT/4g0nL0
-NmT4ZPqmuwH7Ptbz/MQFKWQks37hiCIdKBSHrA8EKbQaaD04gqdDAkedBXKR
-Qu77yUOJ2+ggJjN+WujDP+hdx3bjaXF2vtqBcdcGSdRT+0IQx0sHuYs8++d7
-xdHzMTmb9D80cHDu+2hpK4J8Q3TqNFto8JaoPdq4IoyENUyq3Jto8LVLP7ox
-WxiJ+aNX2Q006DF1cjX/vhUVJmrck6yhQYiEGbnqihAysSgpcS6nQa6/+CN3
-bgFUptATMPt/NIhYlrleMIpDqUI17W/DaGDSadDBeIxDJYWKfPdCaBCjRPXc
-5Y9DayYSMf7BNBDcRz7yh8qDum95dO0IoEFjmQDXCzwPYqTt+9npyc6T4wfF
-dC4kP+vwofcUDQSe5SZbNLKALHuz+YouDcYUMnVyIliACe2Lm9ShQTjPeFXV
-HhbIp6Fxc20abBCfFDoQNoGUS0yS16JBRtz1yLWcDciXDyimqNJAfnZK6dCj
-NSAln7P7I0sDmxkxyd3qdNjfeTO5kocGLK8X2yswGhSWn+w6w83Os+p4Ut1G
-A+NjryVFuGiQM2u03fwsDZZPvnoewcJAlXTf+TwBgwknHy8XJgbk34pSsgZU
-8E7/lpGwhMGF3KBJ4cYVKAoIPCYzhgHh4f7vh3NWIOXjUvTvbxiIrvwo7Q5e
-AWlkklI/ioErJcRUWXEF7n9qlfIZwSCqRbk98sYytLsHVHQPYDA05ueXFbwE
-4j0x4UsfMGj8TsLP/JoH1qbe9cAGDG6QBlY/36WAajV8uvoIA2dPEf15Hwq0
-1FzwqC7AoK6SH+d1hAJvxDY4ph5iMKq5qeVGmQaRAnrIiXwMNA1l+uP/nQaV
-G3ltO+9jcG3kS+VjgSmYzFS6y5uJQX1swcrtgZ9w+rwr4UoKBmaNrxrsTn2D
-g/HtFybCMGgoLK7iU/wGhO/jBXZsy1pPXhddGoXzfeBBDsUgUubSkFzGKBis
-PMwuC8HA7dhdNYmhr9ChUFYRG8yex63H9oSNQFT2QdLBAHY+v6aY5NggiDuE
-qol6YZC2qW63N7wf5vxxM6K2GMiYoCt1p/phWP7imxwbDKwHW3oT9vQDD/fx
-RVm2b+lKLtbO9gHxZmiu6ikMTo5wEL/79gEe//7Fv1YY7OmO6Lrq1wvKrQ4H
-bp/AwFLyt2cA/iMwnZNifI0xaA1U5L0z1Q0S7k6N1H8x4BbsYG4ldsOAJ2aZ
-wva3+1IMPHSD/l2f06VGGDzJiqjz9v8AYlbKvxYBAxGGr9HG+05YTT0WmG6A
-wWylK43R1g7SdOkW6gEMaMP2kScftIN89AflHLZ/L/22/h7SDo7ksTf72R4W
-S3Kp3d4ONhFLAZf2Y5DLXpJZJBkGOsMXqPswiE/3vRam1wYXR5I4OLXZ+6Vf
-+Kz/owVEhnOKdTUweCQ9Upf9tgVMye1zQ+oYJKTqDSjktYAMvsMuju1r2KLt
-B9sWIKhYJpB3YfDLW87rQkczPPf7u9dZDYPuSS9Hg+h3oHyuLz9ZGYM7W6fD
-FG83QIlnyplFeQwWH1t0u9k2wOyirfN9tlVaDhX/km6AdM4abyO2m8vG+yiE
-esifKyrJkmO/z/ul8/Hv6kCOONB/CI/BSOJNn2c8tZD1YC46eRsG1Q/PPxls
-fQUkzy5TFUn2f6hONePOfAVyX65c/CSBgVeUz71Qz1fQLpZUFM12z1RDuuDm
-SyDiWHw94hjsGI8tPWTwEiR1qucjxTBInX5+Xq6tCg6xlMgdwhh0BVxcOMYi
-QtRMjlEgPwYKUZbpegQinDubMiTEtsa10MgSMyKEPzb2ebEFg+KYSsm1jArg
-zY3wXOXD4OH0S5FQzXLY48A1HM+LQTLXmcCvUaXAnajuf4cbg5ZrfkGt3gRg
-9dzQIWxQQbjwzYqUFAFyL14aNGbb+E5AWn9HMQgZWPtOrVNhyKw8+MreYugK
-sQQVtu/wemgXchZBxELbSAmTCvPLyW7ToQVgUnDMvphGhaa8JVHOkWw4Znu0
-K3mZCrulq6WOnMmG59N+GepsP8nOLeafyoLdDsr6H5eoMFVmLBewnAk9NnoH
-JNl+aq3xQEIiA0r6mxseL1BhTfNP9JeJm/DHyvLzyzkq1HNdjee1jwG7A6X6
-zdNU0JIOMvQgXYZvm/VdHmwzRELOvxaIgrqKdF3WFBWq3vAVWXeGw3ULt4yj
-bPu2cPL+agiExOdGkbUTVDDHUcIHfQ+DwPDVXJ4fVPgfKSLi9g==
- "]], LineBox[CompressedData["
-1:eJwBwQE+/iFib1JlAgAAABsAAAACAAAA3aJiARwTbr/in+G/ftv1P9KHeT0A
-S3i/L93uWPHY9T+R3CRlst15v3JYt4x/2PU/nD74EM/8fL9DhepEm9f1P7hj
-HgUekYG/7i8s7s/V9T9oAzDvMoaHv+gQSdct0vU/oZo6hmhAiL868+d7uNH1
-P1KxJ+Gm+Yi/kwoQ4ULR9T/+eYs8Q2mKv3fPo+tW0PU/BKgQgh89jb9b3Xr4
-e871P+uZn3ZDXJG/6fd6prnK9T9tg7Zi8rGRv5nzsytAyvU/Ed4r5y8Hkr9i
-ESlsxsn1P5GcfyJZsJK/LgF6HdLI9T/Vss0Mdf2TvxhhnzjmxvU/h3oL2VSD
-lr8KlLsIAcP1P/GL66Ez0pa//qfrGoPC9T91AG05qiCXv45qMuMEwvU/6aS7
-AWG8l7/dr7+UB8H1P07OfAQE75i/PPICcwm/9T8UiZtVsDqZv4w0ES2JvvU/
-D+equfiFmb9PJbGaCL71Pzv0pMxfG5q/ViZmjwa99T/6koOCf2Wav0qW2xWF
-vPU/Is89WT2vmr8wc6NOA7z1P5bSQ9KZ+Jq/SEFuOYG79T/vzTdulUGbv+ml
-7NX+uvU/3f7suw==
- "]]},
- Annotation[#, "Charting`Private`Tag$5186#2"]& ],
- TagBox[
- {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
+1:eJxdlXc0F/z7xvUxk2TvXaRS9h7X2yqJEhElEkVDFBnlKRKekJ6iQsqopKSs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+ "]],
+ LineBox[CompressedData["
+1:eJwVz3k81PkfwHHHIEeOKMfmGEm5a8NQ074/zeRqWRm5jw5hlKNI6CBHkdqc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+ "]],
+ LineBox[CompressedData["
+1:eJwV1nk0ld0XB3ANFCUqypyiMiSVMalzpSJKJeGSKZRfUfKmvJlnEspQNEii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+ "]],
+ LineBox[CompressedData["
+1:eJwV1Hs4ldkeB3BKSbYTFbkNRsolzA6FcvqJOi4bnV0y5DSpk6Oi2F2NwkGm
+jJTkOm5jzpgSk+tUcrJsorZsi+2yyzWJcsvee72i49Ks88f7vM/nedaznud3
+Wd+vj4XuD1wmJycXSr////VMCz3WjmDEubSlkqOlWPfLcCGHRW3ceud15QYp
+yswzUP7yDiP2yuUDHQcFaJdK9psJ6qhn6u23VJthPKFFLKL+saf7UFJHL/Re
+816opNabumh48fFb0Gp+4neLWtjLdzivOQpRWaHzx6mbDf2cAzI/QOT/Xk7a
+UF87VuQYED8OBm/V7L8MY+TjWrWiizUJv54KmWigrr7/h6IlZwpSFCV/iaNe
+XNz42ujARzCo/umBA3XBj7bdN7dOgzt4d0neYpQyKFKJm54GZ4+PSfnUuSzD
+GewmgSsPjYZdqb3cDRxP3ZbAmvu5g5NDGAnSY1rC2iTAfz2WlEi9ti8w7ttV
+UogrvTpnRO3y96pWpx1SiLjSaVr9BqP/ZIzX6wRJ4fI9M3NX6mhWFS/vlhR0
+hhqURIMYuT3juhyvkkKw64sWH+rr9uuLJ7qk0PMLJ7p7AKO/xuLyXEYKmvGe
+W7jUDT/YnRGpysBi1s6prR8jtdQhJ2NTGXBFaUoc6keFhSWNIAONRe8Efh9G
+yz6I3Xu8ZVCW4iuwpt5s0zOUeEIGSP58e0EvRmntJm4LETKYMgspUqa+EXzG
+wu2GDBSjZ315PRh9YreX3siRgeZXte9FrzGaPXF9rL9YBvISv8Ns6lETKz/u
+ExnIXvrwE15h1PvFYtfn5zKISrTSGRRjxOzyHRnplMEd88Nn2dQ6Za1jm4Zk
+wJqya43sxsi8qj+4aVIGa4K0tz/vwkghUgAdszLQ/9fi37w6MdLOTcvxZxHI
+/3B8KbEDo6X5u3lj6gTO+eQNNIow2vOdg66SPoHqRzUf59sxWvMg4CjfmEC5
+ev02S+p/DnynpcUm4JFW9OQfbRglpt8/omFHoPT24avXMEZ3Ux+21gIBjmaW
+vEiI0ZwoyneTF4F93Mf10haM9oUMJ096E2jO6BhWoe4+ctmR50+guK0wYGcz
+7U93YwU/iICOUYrAQ0Dv8x8yTD1N4PvwkZJDL+j+7pXjbT1H4LHXvYXgJozk
+/QvuiCMJ1M1NXQhtxOj9Kf6JkVgC8Rtd4kKfYbRpdtToxTUCsW0B5wLrMQro
+XZm3/jaBTzuyj/nzMZrItbeITSMQbtS/5FmHUb3nOs+WLHqeP+1jWotR+G+X
+7y0UEKiaf6O39ilGWcVqfSOFBG5+1C6ZraH9MJ+4U15EYMLfyrK6ms7f6UzW
+TBkBfxXdCxp/0Pt2WPP21RKovxplH1iFkdlowu/6dQRe6rYoj1Zi5KxTKgzh
+E6hY2pNeUUHPh2brX3hGIAqxcp3KMHKKKh1waybw1c5/G60sxciidA/eICRw
+e3zFw6bfMfK9FPa0AxPI2GikAsUYpdpxbTS7CLgEp/R/KsIosvnh5wIxgesJ
+tcLiexjtnl1lq9tDIEwvxVDlN4ysaiad3w0QkIS9Yz/4GaOakxHhbe8J/DdF
+mrs5H6OdQyvmTccJaFaw7mfnYsTlXOk7P0lgXeyhmss/YdTkWY/fSAhMJh1t
+Hc3E6NLPo73LCIGnCfo5Xhk0j7gHHTRnCCjJd8auT8Voeq9Ghd5nAqrK1kVn
+UzBi2VhmqM4TGPbXLhQm0/rCC8NmFwgEjdTbRiRhxBtcFlYox0C5ysXIBz9g
+ZAJccaIiA813T69grtL3mimuslRiIH5uU/r2OJpfELpKsJqB9JMJ4xXRGFU4
+FmwYUWEgfIarlBBO3ztfcJa/jgG/5N6YRxdpXiQllm9WZ+CE3AHr4fN0H2K+
+t4nXYOBW5V5fKx5G7U+Cmiy1GNgiPOJedhKjTnf7OTs9BgSNQjNBEEaxzdHO
+p/UZKJFE8gYDaT8+rDbJMWCgTiHGReEY3b8ZR49xQwbM81tKvjmE0f6yziKO
+MQP8Bq6PjS9G6k67eb4m1PkNydt9aH7e0OkIMGXg6Ji80Ho/RqGlwR3HtzCQ
+HCmSqLljlL1ZOdXhGwamTk2VLnel+Zuvu9yUzcCS+9cmZC9GNi3rRGpbGYg8
+ue3bl7tpPUYx715ZMXDA59G2o/YYSc21V8N2BpIm45x329J590uKVW0ZqOkH
+tv42Wq+43mWQ+lLb88edbIxC+nTLztkz8Iqdf7jEks5/TJxjv4OBIOEVEmOO
+0a/8hYYF6gsK7VEHzTCayrxu83QnA7KW5QrGJhjdlKksRjgw8CeKM+UK
+ "]]}, Annotation[#, "Charting`Private`Tag$2642239#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
+1:eJxdlXk0FPz3x2fsKUtkyZIla9lKyRL3o+zKHiWyPBKlyINoUcqS6iGRUpJk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+ "]],
+ LineBox[CompressedData["
+1:eJwVlHk01YsWx4/hlHmOQxKVaFBKocjeejIPlZBOwnmhDInMpG4IlSfTVSpC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+ "]],
+ LineBox[CompressedData["
+1:eJxTTMoPSmViYGAQB2IQrZw4/+FbV9f9k8K3cy7e+dX+UnulLYN3xf6pH0JL
+/Ld/tZ94RyV1093K/Tei1xWoA/lz7H4InP9Ts//Gt+o317d9td+RLMcqN7Fx
+f6710ddWQH4Gs8F7o7b2/Y583Y85tn61fz1zfplzzMT9GxbNmHp401f73OZt
+SZ82Tty/b63lpAVAvuA97ef67JP2b0taurUWyJ84p14pcsOk/ZyaLgUWQP7V
+TWd5Sv9O3s/GW7Nh/cav9u1V3DdDmqftf7rb1Wbphq/2H7tfLzS+NG3/4XrW
+KS1AfilDruUqhen7HQMcBFKA/JdLdjMm7pm+/8fuGaXKQL7fuRoWlvcz9j88
+/+P94vVf7UU6Z4dusJq5n/fL5vQWIJ//+aqdP1pn7g9JusiUCuRbf1lyJl56
+1n7DKSsXqQH5vyY1N9Wnztr/4qP8cnYgX+m8baTt+ln7pc7mn3ux7qv9tEvO
+l2b+mLXfK6Bc4hSQ//6sed5Ux9n7150SaV0N5AMA/YjLtg==
+ "]]}, Annotation[#, "Charting`Private`Tag$2642239#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]],
+ LineBox[CompressedData["
1:eJxdknc0F/73x4UkoySpT2ggI1JKMuL5MkpDWkZDg7IyyopPkZJRUkmDPiIN
FKHMEKXFm2SGbN7IevOeeL+Fr9+/v+c599zzOPeee+7znOda+/OHHPj5+Pga
5+r/+v9XtY97dW7eKlw2Xs82tN6O3zFFWXl5GrD/T3gZrM3xsYqNwjxDOC0I
@@ -4367,7 +6706,8 @@ XlXk8lNPnychs9O76FbT0JW72nd6rzf53sT7d+LLNMZYbXoidv6EX32Y/sBo
Btcfey7K6w8iCdMLf6XXz6BA9NohSlcoUXOITqy5NouvLzfvaVsYRaQ+u943
UecjThxpY+GF/xFhIW07j3w+osjVWTJITyWZT8qelN2dR4brmRYVWd/JB+nX
TmsWC5DEz/YqfC0/SPsV45yDJwXI/wCWGKy/
- "]], LineBox[CompressedData["
+ "]],
+ LineBox[CompressedData["
1:eJwV1Hk4lFsYAHCydesiWyqyRFnK1pUW6j3Zri5RConIVpSdqCy3IlRipJK1
ImSPJCJHGDMjikREQiW0Z75vjLHc7/5xnvP8nvM+Z33Pq+weYOu1hI+Pr4Jq
//eWdQ6Vixc7kKK2a/5pdwE019njck2pAoVvtC4IaedHzJWcS99XZ6Gw8+bj
@@ -4429,46 +6769,218 @@ IEgTaNmaXoIHBrrXRtwhYaV8R13jz2IcqH1CwPkeCW0PDw3ntBVj4fQHGQfz
SfBUOWYfnVWMR9xNHfYWkCAiYKxjaFGMI3m9APdJeBeiEb9KoRivEr9xclsR
Ca0vW5SI6SK8b7lqg14xCT4xaZwuVhFe88FDb2MJCSFZ6iKlt6nxoi3PVUtJ
+A+uCats
- "]]},
- Annotation[#, "Charting`Private`Tag$5186#3"]& ], {}}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{
- FormBox[
- TagBox[
- "\"h | t\\!\\(\\*SuperscriptBox[\\(|\\), \\(\\(-\[Beta]\\)\\\\ \
+ "]]},
+ Annotation[#, "Charting`Private`Tag$2642239#3"]& ], {}}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{0, 0}, {0, 0}},
+ PlotRangeClipping -> True, ImagePadding -> All, DisplayFunction ->
+ Identity, AspectRatio -> 1, Axes -> {True, True}, AxesLabel -> {
+ FormBox[
+ TagBox[
+ "\"h | t\\!\\(\\*SuperscriptBox[\\(|\\), \\(\\(-\[Beta]\\)\\\\ \
\[Delta]\\)]\\)\"", HoldForm], TraditionalForm],
- FormBox[
- TagBox[
- "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)|\\!\\(\\*StyleBox[\\\" \
\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"\
Italic\\\"]\\)\\!\\(\\*SuperscriptBox[StyleBox[\\\"|\\\",FontSlant->\\\"\
Italic\\\"], RowBox[{\\\"-\\\", \\\"\[Beta]\\\"}]]\\)\"", HoldForm],
- TraditionalForm]},
- AxesOrigin->{0, 1.35},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- ImageSize->{396.99999999999864`, Automatic},
- LabelStyle->{
- GrayLevel[0], FontSize -> 14},
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{0, 2.3}, {1.35, 1.45}},
- PlotRangeClipping->True,
- PlotRangePadding->{{0, 0}, {0, 0}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TraditionalForm]}, AxesOrigin -> {0, 1.35}, DisplayFunction :>
+ Identity, FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> {
+ GrayLevel[0], FontSize -> 14},
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None}, PlotRange -> {{0, 2.3}, {1.35, 1.45}},
+ PlotRangeClipping -> True, PlotRangePadding -> {Automatic, Automatic},
+ Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "2", "6",
+ "\"Caselle \
+\\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"al\\\",FontSlant->\
+\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\\\"Italic\\\"]\\)\"\
+"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"},
+ Background -> Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #3}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"], ",",
+ RowBox[{"FontSize", "\[Rule]", "14"}]}], "}"}]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{{3.875957126514063*^9, 3.875957152540943*^9}, {
3.8759571847549353`*^9, 3.875957188180087*^9}, {3.875957249738762*^9,
3.875957266071168*^9}, {3.8759573346853323`*^9, 3.875957362091642*^9}, {
@@ -4476,157 +6988,277 @@ Italic\\\"], RowBox[{\\\"-\\\", \\\"\[Beta]\\\"}]]\\)\"", HoldForm],
3.884690547837318*^9, {3.8846907344980288`*^9, 3.884690754914673*^9}, {
3.884690931703446*^9, 3.884690938018208*^9}, {3.884691030959455*^9,
3.8846910405584087`*^9}, 3.8846914788814507`*^9, 3.884691620259225*^9, {
- 3.884691704823866*^9, 3.884691710395669*^9}},
- CellLabel->"Out[14]=",ExpressionUUID->"4f815cd7-c383-4356-a54d-23d8389e3529"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{
- RowBox[{"Gls", "[",
- RowBox[{"[", "2", "]"}], "]"}], "//", "N"}]], "Input",
- CellChangeTimes->{{3.8762095371659527`*^9, 3.876209563909773*^9}},
+ 3.884691704823866*^9, 3.884691710395669*^9}, 3.887175483369059*^9,
+ 3.8871849063569183`*^9, 3.887185435272781*^9, {3.887186470900655*^9,
+ 3.887186476464538*^9}, 3.88718651032314*^9},
CellLabel->
- "In[107]:=",ExpressionUUID->"f36a97fc-860e-4e7e-86d3-36fc120dfab0"],
-
-Cell[BoxData[
- RowBox[{"-", "1.3578383417065956`"}]], "Output",
- CellChangeTimes->{{3.876209538327829*^9, 3.876209564066291*^9}},
- CellLabel->
- "Out[107]=",ExpressionUUID->"d40435e8-6022-47c6-92e2-dc02d3d8722c"]
+ "Out[141]=",ExpressionUUID->"9dbcc449-beef-4593-9962-5e349a2d55a3"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"pSus", "=",
- RowBox[{"Show", "[",
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{"ParametricPlot", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"{",
RowBox[{
- RowBox[{"{",
- RowBox[{
+ RowBox[{"\[Xi]2", "[", "\[Theta]", "]"}], ",",
+ RowBox[{
+ RowBox[{"-",
RowBox[{
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "15"}], "/", "8"}]]}], ",",
- RowBox[{
- RowBox[{"-",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
- RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
- RowBox[{"{",
- RowBox[{
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "2",
+ "]"}], "[",
+ RowBox[{"1", ",", "\[Theta]"}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
+ RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Xi]6", "[", "\[Theta]", "]"}], ",",
+ RowBox[{
+ RowBox[{"-",
RowBox[{
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "15"}], "/", "8"}]]}], ",",
- RowBox[{
- RowBox[{"-",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
- RowBox[{"7", "/", "4"}]]}]}], "}"}]}], "\[IndentingNewLine]",
- "}"}]}], ",",
- RowBox[{"{",
- RowBox[{"\[Theta]", ",", "1", ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
- "}"}], ",",
- RowBox[{"PlotRange", "->",
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "2",
+ "]"}], "[",
+ RowBox[{"1", ",", "\[Theta]"}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"1", ",", "\[Theta]"}], "]"}], "]"}],
+ RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
RowBox[{
- RowBox[{"{",
- RowBox[{"0", ",", "2.3"}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"0.015", ",", "0.105"}], "}"}]}], "}"}]}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}], ",",
- RowBox[{"WorkingPrecision", "->", "20"}], ",",
- RowBox[{"PlotPoints", "->", "50"}], ",",
- RowBox[{"AxesLabel", "->",
+ RowBox[{
+ RowBox[{"\[Xi]", "[",
+ RowBox[{"\[Theta]0Cas", ",", "gsCas"}], "]"}], "[", "\[Theta]",
+ "]"}], ",",
+ RowBox[{
+ RowBox[{"DScriptMCasD\[Xi]List", "[",
+ RowBox[{"1", ",", "\[Theta]"}], "]"}], "[",
+ RowBox[{"[",
+ RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}], "\[IndentingNewLine]",
+ "}"}]}], ",",
+ RowBox[{"{",
+ RowBox[{"\[Theta]", ",", "1", ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "}"}], ",",
+ RowBox[{"PlotRange", "->",
+ RowBox[{"{",
+ RowBox[{
RowBox[{"{",
- RowBox[{
- "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+ RowBox[{"0", ",", "2.3"}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"0.015", ",", "0.105"}], "}"}]}], "}"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"WorkingPrecision", "->", "20"}], ",",
+ RowBox[{"PlotPoints", "->", "50"}], ",",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"|\",FontSlant->\"Italic\"]\)\!\(\*\
StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*\
SuperscriptBox[StyleBox[\"|\",FontSlant->\"Italic\"], RowBox[{RowBox[{\"-\", \
\"\[Beta]\"}], \" \", \"\[Delta]\"}]]\)\>\"", ",",
- "\"\<\[Chi] | \
+ "\"\<\[Chi] | \
\!\(\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*SuperscriptBox[\(|\), \(\
\[Gamma]\)]\)\>\""}], "}"}]}], ",",
- RowBox[{"LabelStyle", "->",
+ RowBox[{"LabelStyle", "->",
+ RowBox[{"{",
+ RowBox[{"Black", ",",
+ RowBox[{"FontSize", "->", "14"}]}], "}"}]}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
RowBox[{"{",
- RowBox[{"Black", ",",
- RowBox[{"FontSize", "->", "14"}]}], "}"}]}]}], "\[IndentingNewLine]",
- "]"}], "]"}]}]], "Input",
+ RowBox[{
+ "2", ",", "6", ",",
+ "\"\<Caselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.875952981547227*^9, 3.875953315769273*^9}, {
- 3.875957061887289*^9, 3.875957104302837*^9}, {3.875957134472674*^9,
- 3.8759571357521*^9}, {3.8759571703214827`*^9, 3.875957176129848*^9}, {
- 3.875957284251436*^9, 3.875957289963092*^9}, {3.875957366732642*^9,
- 3.875957382812718*^9}, {3.8762091878796577`*^9, 3.876209192631675*^9}, {
- 3.876209751602669*^9, 3.876209811843375*^9}, {3.876209848116508*^9,
- 3.876209861628406*^9}, {3.876209944462913*^9, 3.8762100154872293`*^9}, {
- 3.876210224923583*^9, 3.87621023768332*^9}, {3.876210756477833*^9,
- 3.87621081543836*^9}, {3.876210894360219*^9, 3.876210901623786*^9}, {
- 3.884691262125641*^9, 3.88469130343027*^9}, {3.884691369512054*^9,
- 3.8846913697035637`*^9}},
- CellLabel->"In[12]:=",ExpressionUUID->"b1086ee8-7679-4537-81e7-3871b266ebb6"],
+ 3.875957061887289*^9, 3.875957104302837*^9}, {3.875957134472674*^9,
+ 3.8759571357521*^9}, {3.8759571703214827`*^9, 3.875957176129848*^9}, {
+ 3.875957284251436*^9, 3.875957289963092*^9}, {3.875957366732642*^9,
+ 3.875957382812718*^9}, {3.8762091878796577`*^9, 3.876209192631675*^9}, {
+ 3.876209751602669*^9, 3.876209811843375*^9}, {3.876209848116508*^9,
+ 3.876209861628406*^9}, {3.876209944462913*^9, 3.8762100154872293`*^9}, {
+ 3.876210224923583*^9, 3.87621023768332*^9}, {3.876210756477833*^9,
+ 3.87621081543836*^9}, {3.876210894360219*^9, 3.876210901623786*^9}, {
+ 3.884691262125641*^9, 3.88469130343027*^9}, {3.884691369512054*^9,
+ 3.8846913697035637`*^9}, {3.887184307286583*^9, 3.887184323958791*^9}, {
+ 3.887184367655423*^9, 3.887184373974834*^9}, {3.887185458067234*^9,
+ 3.887185458627892*^9}, {3.887185513675918*^9, 3.88718559599909*^9}, {
+ 3.8871857974578238`*^9, 3.887185814434868*^9}, {3.8871858779006987`*^9,
+ 3.8871858953562098`*^9}, {3.887186064343815*^9, 3.8871860991185503`*^9}, {
+ 3.887186398956843*^9, 3.887186404740259*^9}, 3.8871864473345537`*^9, {
+ 3.887186479790662*^9, 3.887186489958621*^9}, {3.8871865212317467`*^9,
+ 3.887186523110434*^9}, {3.887186638529913*^9, 3.887186640216406*^9}},
+ CellLabel->
+ "In[147]:=",ExpressionUUID->"b1086ee8-7679-4537-81e7-3871b266ebb6"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "ParametricPlot", "precw",
+ "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
+RowBox[{FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
+RowBox[{\\\"0.855058956315038`\\\", \\\" \\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"0.27286889266851116`\\\", \\\" \\\", \
+\\\"\[Theta]\\\"}], \\\"-\\\", RowBox[{\\\"0.06068304017165753`\\\", \\\" \
+\\\", SuperscriptBox[\\\"\[Theta]\\\", \\\"3\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.011882621669035656`\\\", \\\" \\\", SuperscriptBox[\\\"\[Theta]\
+\\\", \\\"5\\\"]}], \\\"-\\\", RowBox[{\\\"0.004040915431527982`\\\", \\\" \\\
+\", SuperscriptBox[\\\"\[Theta]\\\", \\\"7\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.001955924222647888`\\\", \\\" \\\", SuperscriptBox[\\\"\[Theta]\
+\\\", \\\"9\\\"]}]}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \
+\\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", SuperscriptBox[\
+\\\"\[Theta]\\\", \\\"2\\\"]}], \\\"]\\\"}], RowBox[{\\\"15\\\", \\\"/\\\", \
+\\\"8\\\"}]]], \\\",\\\", RowBox[{RowBox[{\\\"0.`\\\", \\\"\[VeryThinSpace]\\\
+\"}], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"0.25175267121411976`\\\", \\\" \\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"], \\\" \\\", RowBox[{\\\"(\\\", \
+RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}], \\\")\\\"}]}], \
+SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{\\\"Plus\\\", \
+\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
+\"}], \\\"]\\\"}], \\\"]\\\"}], RowBox[{\\\"17\\\", \\\"/\\\", \
+\\\"8\\\"}]]]}], \\\"+\\\", FractionBox[\\\"1.007010684856479`\\\", \
+SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
+\\\"}], RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \
+RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"15\\\", \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"3\\\", \\\"\[RightSkeleton]\\\"}], \\\" \
+\\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\
+\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\
+\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", \
+RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
+\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"+\\\", RowBox[{\\\"Times\\\", \\\
+\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}]}], RowBox[{\\\"4\\\", \
+\\\" \\\", SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \
+RowBox[{\\\"31\\\", \\\"/\\\", \\\"8\\\"}]]}]]}], \\\"+\\\", \
+FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\
+\\\", \\\"\[RightSkeleton]\\\"}], \\\")\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\
+\\\"}]}], SuperscriptBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], RowBox[{\\\"15\\\", \\\"/\\\", \\\"8\\\"}]]], \\\"-\\\
+\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], \
+SuperscriptBox[RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"7\\\", \\\"\
+\[RightSkeleton]\\\"}], \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], RowBox[{\\\"15\\\", \\\"/\
+\\\", \\\"8\\\"}]]]}]]}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision \
+(\\!\\(\\*RowBox[{\\\"20.`\\\"}]\\)).\"", 2, 147, 129, 31937344891897383576,
+ "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{{3.8871855337728024`*^9, 3.887185596513431*^9}, {
+ 3.887185797918347*^9, 3.887185826765079*^9}, {3.8871858783091717`*^9,
+ 3.887185895966701*^9}, {3.887186065114805*^9, 3.887186099892681*^9}, {
+ 3.887186394070674*^9, 3.887186405193706*^9}, 3.8871864479183292`*^9, {
+ 3.8871864808523808`*^9, 3.887186490366315*^9}, 3.887186523517044*^9,
+ 3.887186641177333*^9},
+ CellLabel->
+ "During evaluation of \
+In[147]:=",ExpressionUUID->"47c3b277-8c10-4a4a-afd4-bd90c43d9128"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
+ TemplateBox[{
+ "ParametricPlot", "precw",
+ "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
+RowBox[{RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"15\\\", \\\" \\\", \\\"\[Theta]\\\", \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
+RowBox[{\\\"0.855058956315038`\\\", \\\" \\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}], \\\")\\\"}], \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"0.27286889266851116`\\\", \\\" \\\", \
+\\\"\[Theta]\\\"}], \\\"-\\\", RowBox[{\\\"0.06068304017165753`\\\", \\\" \
+\\\", SuperscriptBox[\\\"\[Theta]\\\", \\\"3\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.011882621669035656`\\\", \\\" \\\", SuperscriptBox[\\\"\[Theta]\
+\\\", \\\"5\\\"]}], \\\"-\\\", RowBox[{\\\"0.004040915431527982`\\\", \\\" \\\
+\", SuperscriptBox[\\\"\[Theta]\\\", \\\"7\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.001955924222647888`\\\", \\\" \\\", SuperscriptBox[\\\"\[Theta]\
+\\\", \\\"9\\\"]}]}], \\\")\\\"}]}], RowBox[{\\\"4\\\", \\\" \\\", \
+SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \
+\\\"1\\\"}], \\\"+\\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
+\"]\\\"}], RowBox[{\\\"31\\\", \\\"/\\\", \\\"8\\\"}]]}]]}], \\\"+\\\", \
+FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", RowBox[{\
+\\\"0.855058956315038`\\\", \\\" \\\", SuperscriptBox[\\\"\[Theta]\\\", \\\"2\
+\\\"]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
+RowBox[{RowBox[{\\\"0.27286889266851116`\\\", \\\"\[VeryThinSpace]\\\"}], \
+\\\"-\\\", RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"20\\\", \\\"\
+\[RightSkeleton]\\\"}], \\\" \\\", SuperscriptBox[\\\"\[Theta]\\\", \
+\\\"2\\\"]}], \\\"-\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], \\\"-\\\", RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"20\\\", \\\"\[RightSkeleton]\\\"}], \\\" \\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]}], \
+\\\"-\\\", RowBox[{\\\"0.01760331800383099`\\\", \\\" \\\", SuperscriptBox[\\\
+\"\[Theta]\\\", \\\"8\\\"]}]}], \\\")\\\"}]}], \
+SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \
+\\\"1\\\"}], \\\"+\\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
+\"]\\\"}], RowBox[{\\\"15\\\", \\\"/\\\", \\\"8\\\"}]]], \\\"-\\\", \
+FractionBox[RowBox[{\\\"1.710117912630076`\\\", \\\" \\\", \\\"\[Theta]\\\", \
+\\\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\
+\\\", \\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], RowBox[{\\\"15\\\", \
+\\\"/\\\", \\\"8\\\"}]]]}], \\\")\\\"}], \\\"-\\\", \\\"0\\\"}], \\\",\\\", \
+RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}], \\\")\\\"}], \\\"-\\\", \
+\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\
+\", SuperscriptBox[\\\"\[Theta]\\\", \\\"2\\\"]}], \\\")\\\"}], \\\"-\\\", \\\
+\"0\\\"}]}], \\\"}\\\"}]\\)) is less than WorkingPrecision (\\!\\(\\*RowBox[{\
+\\\"20.`\\\"}]\\)).\"", 2, 147, 130, 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{{3.8871855337728024`*^9, 3.887185596513431*^9}, {
+ 3.887185797918347*^9, 3.887185826765079*^9}, {3.8871858783091717`*^9,
+ 3.887185895966701*^9}, {3.887186065114805*^9, 3.887186099892681*^9}, {
+ 3.887186394070674*^9, 3.887186405193706*^9}, 3.8871864479183292`*^9, {
+ 3.8871864808523808`*^9, 3.887186490366315*^9}, 3.887186523517044*^9,
+ 3.8871866422018423`*^9},
+ CellLabel->
+ "During evaluation of \
+In[147]:=",ExpressionUUID->"88979e53-fa84-4309-bb1e-7f9206ce0235"],
+
+Cell[BoxData[
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
1:eJwVlmc/EIzbQG0Vkk02kZkt+7rsmZlRsrKKzOy9srNLyi5kZW8JKTJCWaGh
krgTQinJ839end/5BOdwX/YydSYiICDwJSQg+H96NVZdTm69r2qWXOSmosSp
QvNC/nKlOY/qRGxuTiBdrsqJvaTut3+IVemxZerQpUllejBmNKX6B75W0vpb
@@ -4755,209 +7387,211 @@ jvvaj1YYXk0wdPl4FzyaNRoKbrfB924j+QHau6DOl7ZMVdIGF/lS55+q58Ew
d0lBbHUbfAjf3iqryIUutsqeyN42kLix6LsckAPXulYnutbaoMEiz7/CORUi
I6T/6GM7CEyHza18tod1oXoKls12yFzK3hmSswBqiuY3LPvtcO/vULy0khZM
7u5JtZN2wP8BldWZ5Q==
- "]], LineBox[CompressedData["
-1:eJwV13c8188fAHAUomSTkdGQb0mEkLhURssqZVc0lJFoWMlIg8iqjIyIki1k
-v+5jfBY+b7KihJBEUchI/N6/fz6fx/Nxr3vf3fvuXndvecerFhc42NjYLMmf
-//9/SRn9VuJgCPQtHRZ7pCpQzMcJHa2vrjByd8ehPuMK9LA35OUZ52AILhCN
-Pp9Rgfx+FF0sYIsDn6Fgb02HSpRYqyGxLzsOiuaFGduvVKJ/zcJjR82fwIvS
-giaFm5Wo3b7t0Z/Up3Bvw3st7chKlGw1dSdEMwFc3QfYmbWVaA9fS2S3aQpo
-FAX8yZevQozJ00fERV5C205ttHeyCoU3DNU3276EJvbF0Md/q5B5Eqe9ecZL
-uJq2xWySuxplSvHcp6tmgs5M3TeWXDW6kbt90PNYFvTn17wRPFGNzm8lPD94
-v4ZiA7pqQ0U1yq6QCouueQ2Zl8fy2qjVqNlhRUSaIxuSeTkWx9urEc2iWzQr
-LBseDA9VGP2sRr9uhOVHJ7yBg5kmW19srkEPRTu3fs3PBcH2PBve6Br00W5S
-kjaVCy0D3Gv/pdQgr+3fSv1258FOgVdsbHk1aKd++oWzpXlgc92xUZNRg+Ke
-pThIVeSDPKe2+k2OWlS57Oa5164Q2PkKr7l51yJKlBy1+WgxbPeJLjx6HdCM
-1cGoDNdiiOgfO615D1DpqY3ZjhHFEGb65u7+eEAOQtYiiaxiONkW9yi3GhBO
-vPN90vQtDIt/RD6rMFI/Kr3V2KQEeG/4LBSZYVQ5kNKY61YClmqjxi9sMNqg
-+G9w8VEJWHi2Nqedx0h008buE00lYP5T8UGrN0aNe2i5i4alsDvw6vffLzDa
-VPUzacfeMhDZc7Rv3xxG637lOqhYlYGtY/O5nRwUJGNZXi57swxmwyfddvJR
-UGuVwa3aojJgqW58abuZgk71RC/+2/YONEwH613NKCgrqZkWK1AOR6pPKunm
-UZBQem7Jo/cVUKP46pOYRx3aIB/4ePdEBdi01cpS/eoQRaMphMZZCV59fgz/
-+3WortL+e61WJew8XHxqJaUODRkprxlJrgTesPILFqw6xLp37D+JC1UwoiXw
-YG5nPSpKCZv1Gq2Gz2qjCW6T9ehD9kjrlVqASp+y699cG5HJht3DDe0ATPEc
-L13vRhTr5eosOAbwkLCpDwtpRGcq8mYwD4Ywl4VkvsRGpDL6YmxADYNIwSOH
-AmojGk6MLvhyD4OK4M52XRkqYld9YcinSIF/Gmn9Po1UdNTBUeu7KgUSN/1u
-DSOoSISl+RvrUEDR943z4x4q6h6TJ2xNKWByYEDC6wcVeZYefGl0kwK7n9iH
-vhChoaT70k5/6ygAe9P+u3uWhqoGMUyeroOp3BFB6g8aqtV8691+rg70DSYs
-3v+hoaJlZZ9ClzrICGGONK/QEKPZ6fypO3UQkHnp3SNBOjont8/VIqsOlna/
-lddQpyN7y7pb/NN1UFRWaC51k46S//n9eLhUBwbsxZycAXS0K/vM3D/Oesh+
-1irxKZSOArz0et9vqAeR+xHqFk/oaI9rnr2KXj2MclRw27+lo60jAta19+uh
-dhf3yPA4HYWo6mt2RNVD5u6K2dTfdGRxV+f3UEI9WD9r7TJaoKOnaioCv3Lq
-YUJgccqei4GCMsou1hH1EOF2YyhdloHc3vAYGYg1wOEy4zvhJgy003/X30WZ
-BvgT5LlV8CQD/Vtaan2zrQE0ri1ahFgz0JdA49/zWg3w9/Bu7Z3nGUgjePKO
-qW0D+PFqTz71ZiC1+SiHsZQGkJeLcMHJDBRudsWnJKsBcnSGUxteMJDMo8RC
-3/wGKL+RSH+XyUCnar4Gztc0gL3XudkreQxU6TTNUfmpAe76i5esrmagg8M2
-Ng7DDXDkZ0xwIDDQjvSs0X/jDRBqWHJwvI6BqGnBhcp/G4CWrpESwWCgWe5x
-i9MSjeB2nr+Cs4uBMrm2FHXKNcJP213yCx8YqGBQ1cFUsREiX1Fuf/zIQHZj
-YkXqmo1QJTIg6jbIQONrIx7TTjbCRt81RP04A4l5rq6Us2uEVPqdUeWfDNS1
-8ProDadG8GyznH8wRbZ3wKdQwLMRBPncOXlnGUh7oKRd4HEjRDxa7EP/GOhJ
-+eZwg6eNMOs2x9i0wkCpH0MoN5IbIYhT6u0MGxOlrSLK6DmN4BS7986F1Uzk
-OvXYb7y4EQZpTk6ruZgI//3B5KlshCIZPqMYbibaTxcR1aY3Qne7BL8fLxNF
-Fb0QPUI0gsjY45nOtUyUyXcy91RXIzwMf/NRlo+JqkwTXjkONwLP86rCQH4m
-OtT3WdBxvBFu8yamPhNgIkuVgo32vxshR2AiOlmQifTydLcaslGBesg9+KYw
-E43oJCuoc1Nh/eljQYdFmKjAntmxcT0V3Pvn764VZaL7V6N2rxKlgv1cSUQ1
-6ciC8gPDUlQw3VmeZCfGRIt6vGsom6jgLaJSME56bvOR0IT/qDDZieiXxZnI
-+6hOjZsKFbbWr3ztIn0kPKVYV5MKlWP+a9U2MFFCxm5nHj0qRL0u1wggPbu/
-ZKD1EBU0DV9fKCdtttwnE3eUCk8fqCcNkg666Lz1hAUVWo9rdy2QPvKHZ47P
-mgrOCqFi7BJMJC9z62nDGTJ+6oPtHFm+eNCR69ZFKrRdH838RFq80e/wVjcq
-BKyynCkkPdK2pOJwnRxPkYGLO2l5hQjNGD8qdMC2n+Kkf4pEn6UEUyGTdtg/
-j+y/0s4rBeMPqfDDYFhkF2nDfbe2CUZTYUVQ4t1zcvxFZiLNqvFUyOn4fe4P
-+b6uVSemHU+lglbQeZF9pD+Ln3t9PosK7K3GLW7k+1Y+VPX1Zh4VcivPhYeT
-88Hjvuhwt4QKvxZOH38ixERSAm4iEVVUmL5bKRhOzl/WrANvdB0V+ISWu1zJ
-+eXTlTgUxaCCYoJ/0l5y/m1tvjSEtVLBr/u6/Qy5Pk6k572+9pkK9y8feL+D
-XD9y3ruEHEaokEBbE5TNw0Tb7gBhMEGFMo7tW4XXMFF98sQJ7kUqvOTdeOgN
-uV7ZPWfkBtlowGk6XdHNwUSvZ/tNyrhp0OOrJPWLXN9YXKrXQpQGdTG+caNL
-DLSuHetKStNgUiwhq2GRgcz9/6zv20QD1K0UHzHPQCatL7gsVWigYuOwbmia
-gYgWu/T1R2lglavQkTRG5ge5eUaROQ08pQQDur+S+eg+h7eZFQ02RRiNLQ8x
-UO63l16BF2hQKfPll8Bncj8qW+vl3KHBX5MSI/02BqIUvvu5/R4NbjIGvHtb
-yPoRVN2sR2R7VdKHzjAZyEjqW/3jBBqUnjWO2VHPQGP5VvXKb2ngmmF6ifWW
-gS5wXa4Or6DBbMNYfX0BmU/z2lyGgQZ2CkEPX+Yw0MKpEwsPmmnwqJtXXTGD
-gQTLtsuljtCgPf6TjmY0Azk07ZfhEKeD0atEFbfLDKT84LbdijQdFhw18pXJ
-fFrnlvNyfhMd1qmOdH50YCBuT2v7fmU62LmULc+fIPPVjtUVtw3pkDqT/0ZX
-l4E0TT4/tj1Gh095pe62mgykn+kZqmFBB9MzKZHnVRkoNmBNd589HUoco99p
-bWWg10Eqtmw36NAZy+07upaBmrpUr4IvHQpcXb87cDJQXqBmmW8gHW5ydthR
-lunow4Lp6Eg4HbT0Nosb/aIjwuGo1ON0OmjrKIac7KSjvtjhKWWCDlD6Otkl
-gY6E3+rbF3fQwbKCKRoRTUcyafTNu3vpYHUMyuIf0tGK7Se6wggd4gZearj7
-0JHXgWulw4vk+BLXuglY0ZHckuzW0q0MqFXJ19pMnqfLj86arGxnwKfK9Kf9
-3HR0N2zjnIEKA4TXblofukxDPvxbWul7GWB/hnc5bJyGYlWy+l+aMuBP0pm6
-wAYagm3cl8u9GVAuoSrF4UlD2m93Hrl+mwGqRQ+OsznTUMd6Hb2dwQxoL7O6
-MWZPQ5usRC4+DWeANLKz9T9MQ01W9SMGKQw4V9F3NV2Whl6qbPtPqp4BJ9Ku
-hX+mUVFA13mebBoDDuT3rwRXU1GY+NYN6s0M8E+K2S5YREWvUr7T9DsZ8NuY
-efR7AhWdabmeqjPKgFL9DLOIK1SUECyc/oaXCbsvORoGc1ORI5f+7nX8TBgz
-qvF9t9iI7iifXesizIQTG8SnOn40Iv6A0RQ5aSY4VcZq0dsb0a2ba7xddjJh
-0GvL1YiURhTKdDkVZEo+j9d5o9+uRlRXMJxdHs2E+Hd/GFJ6Dejb6NjYxqdM
-+Fnzbo6u1IAifOd2ByYy4eTUuZ+WUg1oX3f5qE4GEyTCt4evn69H5k2OAlEl
-TPh7+kzNbEE9usVmsJzbxQTBjy2h1yXq0YvewPyhXiZYBRVa83DVo84ym1Dx
-fib4Unkk/X7XoXMUmfybo0xICtyROMOsQ9tDJWWE55mweOie6F7fOnT/ijIn
-dUMTjMjznB9so6BHkdMzhHQT7CuS/KRUTUHZuxK2dcs1waJ74rR5FgWFfLxs
-16fYBF5249KKvuT9NkFMnaHVBB5XetmWZSmoKlBPXM6qCX5JySRLkffvTwJH
-jnTFNcHRRzMXq+NrEO5XohyLb4KW4HVNThfJ7w8LnlWUpCaI3tslU6lWg4Lj
-WRPp6WT5ty1511qqUfUaTf9jhU2Q9lqkfXmpCiEb6UzNpia4x3C6JH+sEln/
-vO8UzmqC4INi3v4ilei6CA97X1sTXM6xORfwqQJxcez57POhCSCQFnPdpQJt
-O+R5MHGkCQyLp7ikQstRelUk/eZKE2hnnJRryypDt3gEebM5muHfRRmbU5fL
-0HeTad0ezmb48jFZx2dHGRp7FRmktq4Z3pZcu/MkvxQh39l4YkMzRLmr3xcr
-LEH3+jLXvVJthnjzUo03qcXoci0/+8dzzaCl3lmfYJWLDGN3TdWebwZR20kR
-j8YctL+Ri+fFpWbo/+sR6qCag653/a4649YMxwlB6m2uNyjI/MBBmnczSBRW
-b07KfIUkezMr0ONm4DVe+fqrNB3xnX9dwxXTDMqamR8fC6cj1s8bf5vimsEh
-2j5UyeMFyqs5q2ie2Ayb3ff+Z6uQhkrdexwNM5vhgDDPo8p1SYiN20utr7IZ
-HojLyjQpRKFOerfxg5pmOJwmm+IaGIFU+P1eqeJm0E3PMWHmhyHr7kOH7jQ2
-Q52h7culf3dRXIe2GFdrMxiGjGZRmJ6ILn5mom64GQDMKEP2t8Gba5S+sq4F
-BDy0rku+ToPwqns2Ofwt8CMZmL+evABCfZLHUqgFmAe/bHYLTYdbe6Kp6eIt
-YLY7rtru8ksQKFbu2rapBXikaAf8DF5D7uE1Bj17WmAw2dW3S7EQjItiNS9p
-t8C3W49RTl4hxFW7Wk/rtMCo9NMHbmpFwOtouotLvwVebT4vXqdfDNuOv9QX
-O9oCU6kamgOXS2CX1cuJAYcWMNUZmX81Vg7Hn/6xsDjXAi+N29N0Ayogatpx
-geLUAr3aU1kDwpWg2fyS97lzCzzLT3Y/faAKInkdbXU8W+DW7eibBrk1kLui
-Fr8ttAXOrQjUCNhSYFvV1NWa7BaY+3Qyzr+HCtUFVtHvc1ogPvN26QvynM2Z
-MjT+mtcCF3rXdTk8oEGUAt2Hp7gFInM9OzK16fCnAthQZQvU/OR7/iCDAcVL
-640vMVtAn3LDp+JJM3DELkpfbG4BjmG3wd9/mkGTcjvWidUC7ckfnnywagGR
-XcjZ5n0LLA2WOObLsEB128FGzd4W+PudUfWmmIBtw3emisZawLlbNuxJQBto
-jsXvSRpvgf7n7JHfS9rI777R/0J+tADrZ4z/i3GyvGNR0vRXC/xU9D2iZfMe
-vE637u2eb4Fd2u9c5Pa1w0ykyfpsbhYsMCt9ngl3wulvrt2nt7BA5eARRW/x
-Hrh/OKJaV4EFQya3cgPP9UDK+IWdmxRZkF6zpCGb2wMSlUmlX3ew4P25rqHN
-B3tBy/f2LQc1FnT59B338v4ITKvrvjwHWCDsuj/xOvtniH5XFfDhIAvij+HJ
-cMvPgFZPSGUZsEBJ/84R8zefgZtLf4vuYRbIVfdnTVj2g/X33SE2ZiyokVeM
-YdoMgFOnptIJBxbse8tpINU8CJ4Ha2TWnWXBE6HaheW/g9AS2FVWf44Fo1pl
-/4yUvsCka1+v8gUWZO3gG+KL/ALGDq3csy5kPDa0CD01BOU+xmn6PixIMnAX
-W780DGsOzhiN+LJAV2v1ct3uETi16syL+/4s0HireOLn5REYOuLiSr/DggCu
-0JXcnhEISJbw3nuPBQOBHtoTtV9hi/UG3sEYFjwTDFOIePEN8kwCKZZxLDC3
-UhIR/vQN/hNNPsN4woKZ4LdbhMTHYLvdYYu8eBaYTWSaBUaOwc47r+SdU1jg
-/bd/WTfkOzh/VBnLzmZB1G4JvxOhE6C7LGDOl8OCmCEX+EebgNVhxOuruSyY
-lr5upLH2B3QHKmxXLWBBfzw93zz2Bxz73R/yqoQFB9Rmnlx68xM0HCL5HYEF
-RXVvPmX7ToFbxvK7EswCwQsxFThtCmo5Nllz1bGgTX3x6HbaFCjO5dzPamCB
-6+pXo/Miv+DlqYGXvQwW/DRJH0kq+QX/PTx7WqiDBSIukwKU1dNwe61B08lO
-Fhyv5utxVZmGlNkz+592sWDRtHbUx24aaFymKmI9LAh7fuRLVek0FBknafB+
-ZgGv0jhacp2BcnHtw/WjLMhMMZY7NzkLz+LP8E19Y0Etv+dMhtwfuPotaFjq
-Owu+yj/TtbT4A6f1U1s8Jsj65RwE97s/UDHoGc//iwU7TppsZIXOAcPQxEd+
-kZwvxVX+s9oLoL0xJBP9ZcHTkWsGxZ4LoCC6fcJuiQUpA0PUXzkL0NiSzoxb
-ZsGaXN0ny7KLwJW/8mGBg4CL2Qd6b63/C/WRMWkJawnw7OSs3Mf1D1ZbGbzJ
-XkdAgcRt4Q9G/0BYJaWznI+AJdt3Y+vD/sFODa7YDn4CJusZfywFluEda7mE
-XYQAez/Bg35bVkA2Q3dutzQBmbVbNjmWseGWmCZTjY0EpIfvKff5xIYjq6Zb
-98gQEDzIffgnBzs+fJhmoilHwHwYTv1txo615u0PKW8hYPbBsY57v9ixmGP8
-jZkdZH9Xe7L6DVbhnbTZA8tKBIjH1tWJ31yFJ7o7JbmVCYgtAc/2rFU4pFdz
-QlSFgLYXgcQnntUYgcIWRXUCanrZbjp3rcbmG9DJ7RoEHKI6ik7ycuLlTM7Y
-HXsImK5aLuHez4lTVfL0dmgRwP6wNeVPDicOulhvJ7uPgGy14x4c4VxYby5X
-QFKXgPMm0rvNGrjwemu7bmE9Aow9OoX3L3PhtHCh1NX7CdA5pDK0/jo33v90
-duvHgwQk/5469erSGmyrci7I7igBgd234ro9ePFOSlWy8TEC4vwNSx1KeXGR
-YVuH2nECnGuU5/IXebG9rNwTblMCDGOvri+7vxZLWAy6vLQgIOXw2ZsFOetw
-dX+2y8MTBEhe2qTb+mcdrq1cG+Z2kgDXT7WUtgN8+Cp/6Ba1UwSMcJykhvTx
-4cdG6X1vrQmgHBsQZJPhx+6W4f3RNgR89hShBHvw43W4Z9VVWwLKpNw2sTfw
-4zmb+6UK9gQ4/mbSV/YI4B+f9zLDzxKg/9jHac+oAN4k1yi38xIBG28/UzZy
-FMKywfQXk6TlY122zUUJYayj5FzkTMCb6gkfVSyEW89EUHdfIUDJNXjhmJww
-/lwx167kRoDXE93e06PCWP3J/rAx0vk3FAZiJEWw5qfOB5nuBJzYu6PK2UQE
-d42ePivlQUC11kzvj3ci2PcaK3jZk1wPqX/NU2JEccajqNBSLwIE3d3Mppii
-eK1TQLvLdXI97ulZnlwlhkeUDlt03SBAbC1bBoe3GDatCRlJ9yaA9ktbCJzF
-8USPcpFkAAF21K+I76oEZssfj6KSfhQv1xv6VgJ3h7tRrt0hAL6J5PTOS+Df
-6+XEqIHkfkl67atwTxLbOrQ/uxhCgBqVKZSdI4WH/x3j5rtLAP8q230X5qQw
-j7whs5j076EZa8lD0lgoW+DYUigBt+7XSNwZkMbB3h7G9x8QUNu02vXlVhmM
-tcztFR8SMKZt65vgI4OHtp2l00nHWH6nvmbJ4FYvu3TucAL4CpSMFP1lMdHO
-f/V2BFlfoOzuM085rK/UUXI4hoCHrXoiXxfkcU9u1tcJ0ntkQ//s270J63/U
-Ov04loCmsSgJF5dNuFpL709bHAE/N7b+sBvYhAtsdmqaPCPgpOIDI97OzXiz
-/Zkr46RPnJgRjxTZglOaIvvvx5P7gd1xw1rLLXiDSWB0bQIBvq+nbqzq2YJl
-/HpkNj8n4I756n23fmzFwmJb3CpJiyfNeh3XUMDHWhPZzJMJeP9920mDAAW8
-42nqvF8KAb2zwQ8LhbdhAb1lTUYaWf9yZ5TEcUX8fpz/qH4mAd5xeaqdK9tx
-scsnyRbS7Fohx97a7cCMcK49VlkEqA/ZrJGp2oFFtOdNXV8RMC5gJFzpr4Tv
-tQ1LP8omwKkpv2RJWBmbX1azEHpDgFbTWbpygDJWXjPU+Yz0l9w31urflfH5
-iS+MtBwCLou6vBuk7cLKe+nub/IIWGkb5bzRooKTfUPkd+QTYOC/I9yNVxXb
-mD3ZmkN67cPG1X7GqvjATbXN2QVk/lt7c/sPmir+8OfR8vMiAlxmHucOduzG
-XtmqhhvIe9BBj0htdSk1vH1S5EsM6c455cZWRzV8TId7w723BDzo8urk/KOG
-a71T750vJWBzVYWD7k4NHMXnYvmBNGdRu+W+2xo4VMQ56GgZub9Dj18uZ2ng
-vZHHfu96R+bX2GHxozf34Mt6/Pq/ysnxfZRt+fxBE/s2vuM4W0GAVd12c4aG
-Fjbn0d7CIt3HNs8REKeF87+IPnhdSYBe8yvGtdPaWOTwmU+W1WQ+2bumhjaz
-Fwt7zGYC6ciqG/cMz+ngXfUrbYo1BBjJv+2YJHTwuZ1VFguku/XqhRbe7sPd
-hcyVGCDgK+XdbEC8HpaUYf86R/r34Of/vokj/Oi+jqodJsBtx5MTswkIh7ey
-zW+iEGDhqP1K7sR+7NebbppdR0CStnhku4c+frim9SJPPQFnvouNSFTr4yMp
-oSPOpCv5nDxX1hzAhwbpkgoNBFyaOMvqeHUARys7uCU0ErDbM955dvEgFtUN
-YMyQ7tm6nSfw5CGcNJ362JRKxvc+FuIrPIT1SuRtV9HI/aUozeXsZoC1/bPm
-nOgEWL//VtDKYYSD/tjlVpI+0vSGKeluhDkvhrQIMAgQXScn9O2jEf5P/OSp
-KtI7+nS9T4MxZht9VsvPJMBsQ+uInMZh/I4eEOdEWq2mdkd13mFM57kUxtNE
-5vfPKxW1r45gtQy2HFvSvGvVdp347yj+UOe2N4/0N85to8L5R7GY9q8sk2YC
-ivmzym9TjmETy97asBYCbl71ThkQMsWasZJK7aQf9/U8W51limVL+DZKsch8
-d+p99CkZM9wsuxyWTTryT9WoX6UZlujzWjNFenDgyZbLa81xgmME7x6C3D/P
-i9ebO5jjv5ZJyZj0Pt97PKa8FjhCj3sXZysBE6UNT0OdLHDPMKfhYdLrLPq7
-5motcCtfNmcraQsO9b3d/iewf/xKW3cbAbmHmn6miFliNz6/pxvek+ebsr9+
-c4glFnc/98WK9DxjqKd72hJzMq0EP5Bm11jd+P3TKfz1wucZsXay/cxVv7ec
-Oo17lMvPWpI2v8ChkvH+NN6y3+x9K+kzrA3SfZ1WWH5v8Ae+DgKEv3UZd9hZ
-47SGyUtHSD+XH0i9N2qN7V87ba4jHVjz69WLNbbYlXNaKLeTgMMcsfwZt+1x
-UZ7h5RHS9fZzbPYKDrh7S+oRmS4CQnV8N6/qcMCz0/sLIknrOYmmX5Q9i5/p
-/t1NJZ36Oirov4CzOFL7+YF/pBXOelk29J/Fd356cl3pJs97l4fcUznncHHx
-hqpU0kHyzzZWiTniFhS61EG698BQxfu7jrgmKlpB7wMBu05Karq4OOHtvQ82
-ru0hYHtq22X1ixdwhO8tPV3S1w0dY49PXsA/K0d/uJM+Lh0x+NX/Ip69qrjQ
-Svp70TM166xLeND4oiV7L5lv9q9uf3bAGfuHsemrko6PzxbdNOyMdT5vpj0m
-zen9XppD6wq+cFPCsZb0t8/v89q/X8EXQw5FTJBuMWL/8C3DBWd+EHpi9JGA
-04Y3Mhb/c8OZTHnP66QLJtSkHs+5YYlQ3YE00kdnuU88a3bHJr7XPOZJX7xs
-P65i5IFv/2hV2faJvA/4189upXvgxi+1Vy1Jr2b9eOZgcg1nilteKSS9XiLr
-abGLJ1awu6vQR5ry5cHA+VVeuFrJzJGnj4Do+C79hy+8sPoww/osaWtFs6SI
-39fx0Kt/ouGkHfKnCOWsG9irqMeilHSdyzrfxnM38UJVnOmaz+R5dFt+PPX3
-LRx0fZ5flbR65oOSPro33vuFz8Ka9DZ2Lh2ubB98rdrS7jXp8l1Nmh4P/bBk
-7dqtBGk7hknvfJg/9kr19ZglvVd8/MxS/G28um1IT6qfgIRxh/O6JQHYJ/VB
-1H7Shgn0vkd9d3Cp2psLF0gnBgjlj4QF4vGYh7UPSTv53FCfVQ7CCqKhS62k
-iaXnmnNRwXg4atOXadL3wha+rDMLwXsfBh4TGyDg7Mf0zbYSd7G6Rb+OFmlc
-0qUT8+MuzpG+U2hN2tGGq8OjJRRf+pP6xpe0Q+Elh8aKe1iRGbQ9iTTBvjf9
-6tv7+IDd/epe0tWr16Vmvn+IP+hvJxZIxwruW2u1GIalPR45bxgk83/pFdli
-tUeYd8uPB3tIU66e91gTGIE3eoernCS9ULm7jjUQiZ3OZ525RvryfceSlh1R
-+Gmtv1gk6RX1xDDR6Sjs5nxKmvr/5z1yUVbJjsGR5V0ug/+P/9xkop4Yi2tu
-rTu0RHrCETyCk+LwvjaNTLEvBAxI+6rfyX+Cr7OiHquQ7jwcd6ak4ylee9p2
-1RHSOu/PeXXyx+NZlXY2J9Lqmr3jDecScATbngd+pKd1Gg4kNifi18aUhFjS
-7W+Xu19bPMfZV4o1ckgHTc6P3P+TjJ9mGdrVkQ7omyuUqkrFSlJVfD2khSR9
-RFrb0vBM47Ejk6R9OwLTente4NMhWkKcQwTY6Edllc2l47frqy5Ikg5++nUo
-f+dL7M4haLCL9Db5VX7WAZl47YebhQdJ53fN+mdMZGG9b4qvT5MWyNMP/uz3
-Gi9fcVJyIR24WAytu97g1FuOugH/f/77Xmn6ulzcv9rxYxTpnCNdvwrF8/HS
-t2SuDNIO644nb9hRiJt6zKHk/+3V9Kedv1SE6a4VnFTSn7elhNxuKMZK4gK9
-XaQ5/J8sVxuW4AdHHv/3lfT0mKzcic5SbN7OJTZLuiejetQn4h1+TstKXTVM
-9u/2J4ma6xVYbWsqVZD01/ad2dHRVTizTTZclrS43EJiyHgNtki0+qFEOmnf
-4UPvDDD2U/f5oU26hqhhDtZQsKluUbjh/+PPuxt7nK/HC9oqdAvS+YrMmNr9
-jTj32dYMB9L10xZHEm1puCgHS18h7X52ySIRGPjWWxWNG6RT9UwokT7NOKXj
-5cQd0nZedDXBBAJzbjx2MIx0yt8mw7T4Nvwh2FI7jvSryMasj7ntOGV4kpVM
-2tGdf/abeBc24Dmy+hVpD2nfDtWJD1g5LaangLTNpl0/OPQ/4f368yblpO0F
-/l4WkBzAU67Z5zFpWXWLH0s3vmDTRx2S9P/3l++WmcPxESzx69U1grTRl7aP
-ZynfcF2n+eUu0oILrIe+yxM4yJ6No4/0+4bXo3Fyv/CZuEGdIdJsQiOno9xn
-sMHVzeJj/68vxK6s9HIer2mejv35/3jVtymmYsvY61pg8TTpZZELJutfcFBs
-+Oc850kHH98aGurJTcnQC+1c+v98ya2auCu8nnIiyKqXbYQAnj2lZZ0VwpTn
-B1KCVpMOlytamo2VpHzvCmniJs0b97VhY+AmyqTfnnJe0kcjJ5ulO7ZTiq2G
-jPhIp1ydPP7sjjrl2e13vvyke50zmvyZ+ykew/1mgqRHRb3N7c1MKOEeD5lC
-pAWxlEF1+hlK+c+BUWHSXn8bIthXrlMcRIWzRUiXusze0g18SlErtP75f3NE
-PeVP1iul/A80RFjx
- "]], LineBox[CompressedData["
+ "]],
+ LineBox[CompressedData["
+1:eJwV13c8188fAHBkRMkmkdGQb0mEkLhURssqRUZFQ6FEw0pGGkRWZWREREYI
+2a/7GJ+Fz5usKCGECIWMxO/9++fzeTwf97r33b3v7nX3lne4bnGRg42N7RT5
+8///b0nDI0X2hkDf0maxR6oMRX0e19H67gJD93cc6jEuQ4+7g16fdQqEwHdi
+kRfSypDPz4JL79hiwGsg0FPTvhzFV2tI7suKgYJ5Ecb2q+XoX6PI6FHzZ/Cq
++F2Dwu1y1GrX8uRP8nN4sP6jlnZ4OUq0mroXpBkHLtf62JnV5WgPf1N4p2kS
+aBT4/cmTr0CxMq++aoa+gpEto1IXgisQY/L0EQnR19CyUxvtnaxAoXUDtY02
+r6GBfTH46d8KZJ7AZWee9hqup2wxm+SpROlSvA/pqumgM1MzwpKrRLdytve7
+H8uA3ryqt0InKtGFrYT7J89MKDSgq9aVVaKsMqmQyKpMSL8ymttCrUSN9iui
+0hxZkMjHsTjWWoloFp1iGSFZ8GhwoMxoohL9uhWSFxn3Fg6mm2x9tbkKPRZr
+3/o9LweEWnPP8EVWoc+2kxtoUznQ1Mez5l9SFfLYPlLsszsXdgq+YWPLrUI7
+9VMvnivOhTM3Heo1GVUo5kWSvVRZHshzaavf5qhG5cuu7ntt84GdP/+Gq2c1
+okTIURuPFsJ2r8j8ozcBzVgdjEhzKYSw3tHTmg8AFZ/amOUQVgghpm/v748F
+ZC9sLRrPKoSTLTFPcioB4fh7PyZN38OgxGfktQoj9aPSW41NioDvltdCgRlG
+5X1J9TmuRWCpNmz86gxG6xX/9S8+KQIL9+bGlAsYiW3a2HmioQjMJxQfNXti
+VL+HlrNoWAy7/a//+P0Ko00VEwk79paA6J6jPfvmMFr7K8dexaoEbBwaz+/k
+oCAZy9JS2dslMBs66bqTn4KaKwzuVBeUAEt142ubzRR0qity8d+2D6Bh2l/r
+YkZBGQmNtGjBUjhSeVJJN5eChFNzip58LIMqxTdfxN1q0Hp5/6e7x8vgTEu1
+LNWnBlE0GoJoXOXg0ePD8H1Yg2rK7X5Ua5XDzsOFp1aSatCAkfLqocRy4Asp
+vWjBqkGsB8f+k7xYAUNago/mdtaigqSQWY/hSviqNhznOlmLPmUNNV+tBij3
+Krk54lKPTNbvHqxrBWBKZHvoetajaA8XJ6FRgMfEmdqQoHp0tix3BvNiCHFe
+SOSPr0cqw69G+9QwiL57Yv+OWo8G4yPffXuAQUVoZ6uuDBWxq74y5FekwD+N
+lF6veio6au+g9UOVAvGbfjeHEFQkytL8jXUooOj91ulpFxV1jsoTNqYUMDnQ
+J+nxk4rciw++NrpNgd3P7IJfidJQwkNpx781FIC9Kf/dP0dDFf0YJk/XwFTO
+kBD1Jw1Va773bD1fA/oG4xYf/9BQwbKyV75zDaQFMYcaV2iI0eh44dS9GvBL
+v/zhiRAdnZfb52KRUQNLu9/La6jTkZ1lzR2B6RooKMk3l7pNR4n/fH4+XqoB
+A/ZCLi4/OtqVdXbuH1ctZL1olvwSTEd+HnrdH9fXgujDMHWLZ3S0xyXXTkWv
+FoY5ynjs3tPR1iFB6+qHtVC9i2docIyOglT1NdsiaiF9d9ls8m86sriv83sg
+rhasXzR3GC3Q0XM1FcFf2bUwLrg4ZcfNQAFpJZdqiFoIc701kCrLQK5veY0M
+xOvgcInxvVATBtrpu+vvokwd/Alw3yp0koH+LS01v91WBxo3Fi2CrBnom7/x
+73mtOvh7eLf2zgsMpBE4ec/Upg58+LQnn3sykNp8hP1oUh3Iy4U540QGCjW7
+6lWUUQfZOoPJda8YSOZJfL53Xh2U3oqnf0hnoFNV3/3nq+rAzuP87NVcBip3
+nOYo/1IH930lijgrGejg4Jkz9oN1cGQiKtAfGGhHasbwv7E6CDYsOjhWw0DU
+lMB85b91QEvVSApjMNAsz5jFacl6cL0gUMbVwUDp3FsK2uXqYcJml/zCJwZ6
+169qb6pYD+FvKHc/f2Yg21HxAnXNeqgQ7RNz7WegsTVhT2kn62Gj92qidoyB
+xN05y+Vs6yGZfm9YeYKBOhYyj95yrAf3Fsv5R1Nkewe88gXd60GI/xoX3ywD
+afcVtQo+rYewJ4s96B8DPSvdHGrwvB5mXecYm1YYKPlzEOVWYj0EcEm9n2Fj
+opRVRAk9ux4co/feu8jJRC5TT33GCuuhn+boyMnNRPjvTyZveT0UyPAbRfEw
+0X66qJg2vR46WyUFfPiYKKLgldgRoh5ER5/OtK9honT+kzmnOurhcejbz7L8
+TFRhGvfGYbAeeF9W5PsLMNGhnq9CDmP1cJcvPvmFIBNZqrzbaPe7HrIFxyMT
+hZhIL1d3qyEbFaiHrgXeFmGiIZ1EBXUeKqw7fSzgsCgTvbNjtm1cR4VrvfP3
+14gx0cPrEbtXiVHBbq4orJJ0+LvSA4NSVDDdWZpgK85Ei3p8qymbqOApqvJu
+jPTc5iPBcf9RYbId0a9IMJHnUZ0qVxUqbK1d+d5B+khoUqGuJhXKR33XqK1n
+ori03U68elSIyCzV8CM9u7+or/kQFTQNMy+WkjZb7pGJOUqF54/UE/pJB1xy
+2nrCggrNx7U7Fkgf+cM7x29NBSeFYHF2SSaSl7nzvO4sGT/1yWaOLF886MB9
+5xIVWm4Op38hLVHvc3irKxX8VlnO5JMeallSsb9JjqfAwPkaaXmFMM0oHyq0
+wbYJCdITopHnKIFUSKcd9s0l+6+08+q7scdU+GkwKLqLtOG+O9uEIqmwIiT5
+4SU5/gIz0UbVWCpkt/0+/4d8Xzcq41OOJ1NBK+CC6D7SXyXOZ17IoAJ7s3GT
+K/m+lQ9VfL+dS4Wc8vOhoeR88F5btL9fRIVfC6ePPxNmIilBV9GwCipM3y8X
+CiXnL2PWni+yhgr8wssdLuT88utKHopgUEExzjdhLzn/Nme+1YU0U8Gn86bd
+DLk+TqTmZt74SoWHVw583EGuHznPXcL2Q1SIo60OyOJlom33gDAYp0IJx/at
+IquZqDZx/ATPIhVe82089JZcr+zuM3L9bDTgMp0u6+RgoszZXpMSHhp0eStJ
+/SLXN5aQ6rYQo0FNlHfM8BIDrW3FuhukaTApHpdRt8hA5r5/1vVsogHqVIoN
+m2cgk+ZX3JYqNFA5Y792YJqBiCbb1HVHaWCVo9CWMErmB7l5RoE5DdylhPw6
+v5P56CGHp5kVDTaFGY0uDzBQzshrD/+LNCiX+fZL8Cu5H5Wt9bLv0eCvSZGR
+fgsDUfI/TGx/QIPbjD7P7iayfhhVN+MJ2V6F9KGzTAYykhqpfRpHg+JzxlE7
+ahloNM+qVvk9DVzSTC+z3jPQRe4rlaFlNJitG62tfUfm09wW50Ggga1CwOPX
+2Qy0cOrEwqNGGjzp5FNXTGMgoZLtcslDNGiN/aKjGclA9g37ZTgk6GD0Jl7F
+9QoDKT+6a7siTYcFB408ZTKf1rhmv57fRIe1qkPtn+0ZiMfd2q5XmQ62ziXL
+8yfIfLWDs+yuIR2SZ/Le6uoykKbJ16c2x+jwJbf4mo0mA+mnuwdrWNDB9GxS
++AVVBor2W93ZY0eHIofID1pbGSgzQMWG7RYd2qN5vIfXMFBDh+p18KbDOxeX
+H/ZcDJTrr1ni7U+H21xttpRlOvq0YDo8FEoHLb3NEka/6IiwPyr1NJUO2jqK
+QSfb6agnenBKmaADFGcmOsfRkch7fbvCNjpYljHFwiLpSCaFvnl3Nx2sjkFJ
+7GM6WrH5QlcYokNM32uNa1505HHgRvHgIjm++DWuglZ0JLcku7V4KwOqVfK0
+NpPn6fKTcyYr2xnwpTz1eS8PHd0P2ThnoMIAkTWb1gUv05CXwJZm+l4G2J3l
+Ww4Zo6FolYze16YM+JNwtsa/joZgG8+VUk8GlEqqSnG405D2+51Hbt5lgGrB
+o+NsTjTUtk5Hb2cgA1pLrG6N2tHQJivRS89DGSCNbG18D9NQg1XtkEESA86X
+9VxPlaWh1yrb/pOqZcCJlBuhX2lU5NdxgTeLxoADeb0rgZVUFCKxdb16IwN8
+E6K2CxVQ0ZukHzT9dgb8NmYe/RFHRWebbibrDDOgWD/NLOwqFcUFiqS+5WPC
+7ssOhoE8VOTArb97rQATRo2qvD8s1qN7yufWOIsw4cR6iam2n/VIwG84SU6a
+CY7l0Vr01np05/ZqT+edTOj32HI9LKkeBTOdTwWYks/jc9ros6se1bwbzCqN
+ZELshz8MKb06NDI8OrrxORMmqj7M0ZXqUJj33G7/eCacnDo/YSlVh/Z1lg7r
+pDFBMnR76Lr5WmTe4CAYUcSEv6fPVs2+q0V32AyWczqYIPS5KfimZC161e2f
+N9DNBKuAfGte7lrUXnImWKKXCd5U3g0+v2vQeYpM3u1hJiT474ifYdag7cEb
+ZETmmbB46IHYXu8a9PCqMhd1fQMMyfNe6G+hoCfh0zOEdAPsK9jwRamSgrJ2
+xW3rlGuAxWvx0+YZFBT0+Yptj2IDeNiOSSt6k/fbOHF1hlYDuF3tZluWpaAK
+fz0JOasG+CUlkyhF3r+/CB450hHTAEefzFyqjK1CuFeJciy2AZoC1zY4XiK/
+Pyx4V1ESGiByb4dMuVoVCoxljaemkuUjW3JvNFWiytWavsfyGyAlU7R1eakC
+oTPS6ZoNDfCA4XhZ/lg5sp546BjKaoDAg+KevqLl6KYoL3tPSwNcyT5z3u9L
+GeLm2PPV61MDgD8t6qZzGdp2yP1g/FADGBZOcUsFl6LUinD67ZUG0E47KdeS
+UYLu8ArxZXE0wr9LMmdOXSlBP0ymdbu4GuHb50Qdrx0laPRNeIDa2kZ4X3Tj
+3rO8YoS8Z2OJ9Y0QcU39oXh+EXrQk772jWojxJoXa7xNLkRXqgXYP59vBC31
+9to4qxxkGL1rqvpCI4jZTIq61Wej/fXcvK8uN0LvX7dge9VsdLPjd8VZ10Y4
+TghR73K/RQHmBw7SPBtBMr9yc0L6G7ShO70MPW0EPuOV77+KUxH/hcwq7qhG
+UNZM//xUJBWxJm79bYhpBPtIu2Alt1cot+qconl8I2y+tvc/G4UUVHyty8Ew
+vREOiPA+KV+bgNh4PNR6yhvhkYSsTINCBGqndxo/qmqEwymySS7+YUhFwOeN
+Km4E3dRsE2ZeCLLuPHToXn0j1BjavF76dx/FtGmLczc3gmHQcAaF6Y7oEmfH
+awYbAcCMMmB3Fzy5h+kra5tA0E3r5obMFAiteHAmW6AJfiYC89ezV0CoT/Ja
+CjcB8+C3za7BqXBnTyQ1VaIJzHbHVNpeeQ2Chcod2zY1Aa8U7YCPQSbkHF5t
+0LWnCfoTXbw7FPPBuCBa87J2E4zceYqyc/MhptLFelqnCYalnz9yVSsAPgfT
+Xdz6TfBm8wWJGv1C2Hb8tb740SaYStbQ7LtSBLusXo/32TeBqc7Q/JvRUjj+
+/I+FxfkmeG3cmqLrVwYR0w4LFMcm6NaeyugTKQfNxtd8L52a4EVe4rXTByog
+nM/BRse9Ce7cjbxtkFMFOStqsduCm+D8imCVoA0FtlVMXa/KaoK5LydjfLuo
+UPnOKvJjdhPEpt8tfkWes9lThsbfc5vgYvfaDvtHNIhQoHvxFjZBeI57W7o2
+Hf6UARsqb4KqCf6Xj9IYULi0zvgyswn0Kbe8yp41Akf0ovSlxibgGHTt//2n
+ETQpd6MdWU3Qmvjp2SerJhDdhZzOfGyCpf4ihzwZFqhuO1iv2d0Ef38wKt4W
+ErBt8N5UwWgTOHXKhjzzawHN0dg9CWNN0PuSPfxHUQv53Tf8X9DPJmBNRPm+
+GiPL2xY3mP5qgglF7yNaZz6Cx+nmvZ3zTbBL+4Oz3L5WmAk3WZfFw4IFZrnX
+C5F2OD3i0nl6CwtUDh5R9JTogoeHwyp1FVgwYHInx/98FySNXdy5SZEFqVVL
+GrI5XSBZnlD8fQcLPp7vGNh8sBu0vO/esVdjQYdXz3EPz8/AtLrpzXuABSIu
+++Nvsn+FyA8Vfp8OsiD2GJ4MtfwKiHNcKsOABUr6946Yv/0KPNz6W3QPs0Cu
+sjdj3LIXrH/sDjpjxoIqecUo5pk+cGzXVDphz4J977kMpBr7wf1glczacyx4
+Jly9sPy3H5r8O0pqz7NgWKvkn5HSN5h06elWvsiCjB38A/zh38DYvpln1pmM
+x4YWwacGoNTLOEXfiwUJBtfE1y0NwuqDM0ZD3izQ1eJcrtk9BKdWnX310JcF
+Gu8VT0xcGYKBI84u9Hss8OMOXsnpGgK/REnPvQ9Y0Ofvpj1e/R22WK/n649i
+wQuhEIWwVyOQa+JPsYxhgbmVkqjIlxH4TyzxLOMZC2YC328RlhiF7baHLXJj
+WWA2nm7mHz4KO++9kXdKYoHn395l3aAf4PRZZTQriwURuyV9TgSPg+6yoDl/
+NguiBpzhH20cOEOIzOs5LJiWvmmkseYndPorbFd9x4LeWHqeefRPOPa7N+hN
+EQsOqM08u/x2AjTswwUcgAUFNW+/ZHlPgWva8ocizAKhi1FlOGUKqjk2WXPX
+sKBFffHodtoUKM5lP8yoY4EL55vhedFf8PpU3+tuBgsmTFKHEop+wX+Pz50W
+bmOBqPOkIIVzGu6uMWg42c6C45X8XS4q05A0e3b/8w4WLJpWD3vZTgON21RF
+vIsFIS+PfKsonoYC4wQNvq8s4FMaQ0suM1AqoX24dpgF6UnGcucnZ+FF7Fn+
+qREWVAu4z6TJ/YHrIwGDUj9Y8F3+ha6lxR84rZ/c5DZO1i/lIHg+/IGyfvdY
+gV8s2HHSZCMreA4YhiZe8ovkfCmu8p3VXgDtjUHp6C8Lng/dMCh0XwAFse3j
+tkssSOoboP7KXoD6plRmzDILVufoPluWXQTuvJVPCxwEXMo60H1n3V+oDY9K
+iVtDgHs7V/k+7n/AaWXwNmstAe8k74p8MvoHIipJ7aX8BCzZfBhdF/IPdmpw
+R7cJEDBZy/hjKbgMH1jLReyiBNj5CB302bICsmm6c7ulCUiv3rLJoYQNN0U1
+mGpsJCA1dE+p1xc2HF4x3bxHhoDAfp7DExzs+PBhmommHAHzITj5txk71pq3
+O6S8hYDZR8faHvxix+IOsbdmdpD95XRn9RqswjtpsweWlQiQiK6pkbi9Co93
+tm/gUSYgugjcWzNW4aBuzXExFQJaXvkTX3g5MQKFLYrqBFR1s9126uDE5uvR
+ye0aBByiOohN8nHh5XSu6B17CJiuWC7i2c+Fk1Vy9XZoEcD+uDnpTzYXDrhU
+ayu7j4AsteNuHKHcWG8uR3CDLgEXTKR3m9Vx43XWtp0iegQYu7WL7F/mximh
+wsmc+wnQOaQysO4mD97/fHbr54MEJP6eOvXm8mpso3I+wPYoAf6dd2I63fjw
+TkpFovExAmJ8DYvti/lwgWFLm9pxApyqlOfyFvmwnazcMx5TAgyjr68rebgG
+S1r0O7+2ICDp8Lnb77LX4sreLOfHJwjYcHmTbvOftbi6fE2I60kCXL5UU1oO
+8OPrAsFb1E4RMMRxkhrUw4+fGqX2vLcmgHKsT4hNRgBfswztjTxDwFd3UUqg
+mwBei7tWXbchoETKdRN7nQCeO/OwWMGOAIffTPrKHkH88+teZug5AvSfejnu
+GRbEm+Tq5XZeJmDj3RfKRg7CWDaQ/mqStHy087a5CGGMdZScCpwIeFs57qWK
+hXHz2TDq7qsEKLkELhyTE8Ffy+ZalVwJ8Him2316WASrP9sfMko675ZCX9QG
+Uaz5pf1R+jUCTuzdUeFkIoo7hk+fk3IjoFJrpvvnB1HsfYMVuOxOrofkv+ZJ
+UWI47UlEcLEHAULXXM2mmGJ4jaNfq/NNcj3u6VqeXCWOh5QOW3TcIkB8DVsa
+h6c4Nq0KGkr1JID2S1sYnCTweJdywQY/Amyp3xH/dUnMljcWQSX9JFauO/i9
+JO4MdaXcuEcAjIhmd89L4t/r5MSp/uR+Scj0VniwAdvYt764FESAGpUpnJUt
+hQf/HePhv0+AwCqbfRfnpDCvvCGzkPTvgRnrDYeksXCW4LGlYALuPKySvNcn
+jQM93YwfPiKguoHT5fVWGYy1zO0UHxMwqm3jHeclgwe2naPTSUdZ/qBmsmRw
+s4dtKk8oAfzvlIwUfWUx0Spw/W4YWV+w5P4Ldzmsr9RWdDiKgMfNeqLfF+Rx
+V07G93HSe2SD/+zbvQnrf9Y6/TSagIbRCEln5024UkvvT0sMARMbm3/a9m3C
+787s1DR5QcBJxUdGfO2b8Wa7s1fHSJ84MSMRLroFJzWE9z6MJfcDu8P6NZZb
+8HoT/8jqOAK8M6dureragmV8umQ2vyTgnjnnvjs/t2IR8S2u5aQlEmY9jmso
+4GPN8WzmiQR8/LHtpIGfAt7xPHneJ4mA7tnAx/ki27Cg3rImI4Wsf6U9QvK4
+Iv44JnBUP50Az5hc1faV7bjQ+cuGJtLsWkHH3tvuwIxQ7j1WGQSoD5xZLVOx
+A4tqz5u6vCFgTNBIpNxXCT9oGZR+kkWAY0Ne0ZKIMja/omYh/JYArYZzdGU/
+Zay8eqD9BelvOW+t1X8o4wvj3xgp2QRcEXP+0E/bhZX30q+9zSVgpWWY61aT
+Ck70DpLfkUeAge+OUFc+VXzG7NnWbNJrHtdz+hir4gO31TZnvSPz35rb23/S
+VPGnP0+WXxYQ4DzzNKe/bTf2yFI1XE/egw66hWurS6nh7ZOi36JIt88p1zc7
+qOFjOjzrH7wn4FGHRzvXHzVc7Zn84EIxAZsryux1d2rgCH5ny0+kuQpaLffd
+1cDBok4BR0vI/R18/EopSwPvDT/2e9cHMr9GD0ocvb0HX9ET0P9VSo7vs2zT
+10+a2Lv+A8e5MgKsarabMzS0sDmv9hYW6R62eQ6/GC2c903sUWY5AXqNbxg3
+Tmtj0cNnv1hWkvlk7+oq2sxeLOI2mw6kwytuPTA8r4N31a60KFYRYCT/vm2S
+0MHnd1ZYLJDu1KsVXni/D3fmM1eigIDvlA+zfrF6eIMM+/c50r/7v/43IoHw
+k4c6qraYANcdz07MxiEc2sw2v4lCgIWD9hu5E/uxT3eqaVYNAQnaEuGtbvr4
+8ermS7y1BJz9IT4kWamPjyQFDzmRLud3dF9ZfQAf6qdvUKgj4PL4OVbbmwM4
+UtneNa6egN3usU6ziwexmK4fY4Z019btvP4nD+GE6eSnplQyvvupMH/+IaxX
+JG+zikbuL0VpbidXA6ztmzHnSCfA+uPIu2YOIxzwxzannPSRhrfMDdeMMNel
+oCZBBgFia+WERz4b4f8kTp6qIL2jR9fzNBhjtuEX1QJMAszWNw/JaRzGH+h+
+MY6k1aqqd1TmHsZ03sshvA1kfv+6Ulb95ghWS2PLtiHNt0Zt14n/juJPNa57
+c0mPcG0bFsk7isW1f2WYNBJQKJBRepdyDJtYdleHNBFw+7pnUp+wKdaM3qDU
+SvppT9cLzgxTLFvEv1GKRea7Ux8jT8mY4UbZ5ZAs0uF/KoZ9ys2wZI/H6inS
+/X3PtlxZY47jHML49hDk/nlZuM7c3hz/tUxIxKT3eT/gNeWzwGF6PLu4mgkY
+L657HuxogbsGuQwPk15r0dsxV22Bm/mzuJpJW3Co7+30PYF9Y1daOlsIyDnU
+MJEkbold+X2er/9Inm/KvvqNQZZY4tr5b1ak5xkDXZ3TlpiLaSX0iTS7Bmf9
+jy+n8PeLX2fEW8n201f93nLqNO5SLj1nSdr8IodK2sfTeMt+s4/NpM+y1kv3
+tFth+b2Bn/jbCBAZ6TBus7XGKXWTl4+Qfinfl/xg2BrbZTpuriHtX/XrzavV
+NtiFa1o4p52AwxzRAml37XBBruGVIdK1dnNsdgr2uHNL8hGZDgKCdbw3r2qz
+x7PT+9+Fk9ZzFEu9JHsOv9D9u5tKOjkzIuA/v3M4XPvlgX+kFc55WNb1nsP3
+Jty5r3aS573zY56p7PO4sHB9RTLpAPkXGyvEHXATCl5qI919YKDs430HXBUR
+qaD3iYBdJzdoOjs74u3djzau6SJge3LLFfVLF3GY9x09XdI3DR2ij09exBPl
+wz+vkT4uHdb/3fcSnr2uuNBM+kfBCzXrjMu43/iSJXs3mW/2c7a+OOCEfUPY
+9FVJx8ZmiW0adMI6XzfTnpLm8vwozaF1FV+8LelQTXrk68fc1h9X8aWgQ2Hj
+pJuM2D+NpDnj9E/Cz4w+E3Da8Fba4n+uOJ0p736T9LtxNamnc65YMli3L4X0
+0VmeEy8ar2ET7xtu86QvXbEbUzFyw3d/Nqts+0LeB3xrZ7fS3XD9t+rrlqQ5
+WT9f2JvcwOkSllfzSa+TzHhe6OyOFWzvK/SQpnx71HdhlQeuVDJz4O0hIDK2
+Q//xKw+sPsiwPkfaWtEsIez3TTzw5p9YKGn7vClCOeMW9ijosigmXeO81rv+
+/G28UBFjuvoreR7dlR9L/n0HB9ycF1AlrZ7+qKiH7on3fuO3sCa9jZ1bhzvL
+C9+otLTNJF26q0HT7bEP3lC9ZitB2pZh0j0f4os9kr3dZknvlRg7uxR7F3O2
+DOhJ9RIQN2Z/QbfID3slP4rYT9owjt7zpOceLlZ7e/Ei6Xg/4byhEH88FvW4
++jFpR69b6rPKAVhBLHipmTSx9FJzLiIQD0Zs+jZN+kHIwre1ZkF472P/Y+J9
+BJz7nLrZRvI+Vrfo1dEijYs6dKJ+3sfZ0vfyrUk7nOFuc2sKxpf/JL/1Jm2f
+f9m+vuwBVmQGbE8gTbDvTb3+/iE+YPuwspt0Jefa5PSPj/En/e3EAulooX1r
+rBZDsLTbE6f1/WT+L74qW6j2BPNt+floD2nK9Qtuq/3D8EbPUJWTpBfKd9ew
++sKx44WMszdIX3noUNS0IwI/r/YVDye9oh4fIjYdgV2dTklT//+8J87KKllR
+OLy0w7n///FfG0zU46Nx1Z21h5ZIjzuAW2BCDN7XopEu/o2APmlv9Xt5z/BN
+VsRTFdLth2POFrU9x2tO26w6Qlrn43mPdoFYPKvSyuZIWl2ze6zufBwOY9vz
+yIf0tE7dgfjGeJxpTImLJt36frkz0+IlzrpaqJFNOmByfujhn0T8PMPQtoa0
+X89cvlRFMlaSquDvIi28wUu0uSUFz9QfOzJJ2rvNP6W76xU+HaQlzDVAwBn9
+iIySuVT8fl3FxQ2kA59/H8jb+Rpf4xAy2EV6m/wqH2u/dLzm0+38g6TzOmZ9
+08YzsN6IYuZp0oK5+oFffTLx8lVHJWfS/ouF0LzrLU6+46Dr9//nf+yWpq/N
+wb2cDp8jSGcf6fiVL5GHl0YSudNI2689nrh+Rz5u6DKHov+3V9WbcuFyAaa7
+lHFRSX/dlhR0t64QK0kIdneQ5vB9tlxpWIQfHXn633fS06Oycifai7F5K7f4
+LOmutMphr7AP+CUtI3nVINm/u18kq26WYbWtyVQh0t9bd2ZFRlbg9BbZUFnS
+EnIL8UFjVdgi3uqnEumEfYcPfTDA2Efd66c26SqiitlfRcGmugWhhv+Pv3DN
+2O1CLV7QVqFbkM5TZEZV76/HOS+2ptmTrp22OBJvQ8MF2Vj6Kulr55Ys4oGB
+77xX0bhFOlnPhBLu1YiT2l6P3yNt60FXE4ojMNfGYwdDSCf9bTBMiW3BnwIt
+tWNIvwmvz/ic04qTBidZiaQdrgnMjkh0YAPeI5xvSLtJe7epjn/CyilRXe9I
+n9m06yeH/he8X3/epJS0neDfK4Ib+vCUS9YFTFpW3eLn0q1v2PRJ2wb6//vL
+f8fM/vgQlvz15gZB2uhby+dzlBFc025+pYO00ALrsffyOA6wY+PoIf2xLnM4
+Ru4XPhvTrzNAmk146HTEtRlscH2zxOj/6wuzKyu9nserG6ejJ/4fr/o+yVR8
+GXvc8C+cJr0setFk3SsOyhmBOfd50oHHtwYHu/NQ0vSC25f+P19yq8bvi6yj
+nAiw6mYbIoB3T3FJe5kI5eWBpABO0qFyBUuz0RsoPzqCGnhI88V8r9vov4ky
+6bOnlI/00fDJRum27ZRCqwEjftJJ1yePv7inTnlx94O3AOlup7QGX+Z+ittg
+r5kQ6WExT3M7MxNKqNtjpjBpISxlUJl6llI60TcsQtrjb10Y+8pNir2YSJYo
+6WLn2Tu6/s8pavnWE/83R8RzgUS9Ysr/AEeHYTw=
+ "]],
+ LineBox[CompressedData["
1:eJwV1mc41e8bAHArftmVQoVCS8umjO5DtkRWIiOVYyS7SGaEU4TMlFH8hVRG
tlM24ZtzUkaJkrJJKCf53714ruf6XPeL+3le3GPnucunLrAwMTHV4fl3h/Q5
zwh8JagcpUtCR/TKSWf8RgT/2cuuyNNoLYDUEv2TdxN61afvgvPqOdLbiqmC
@@ -5019,1174 +7653,1909 @@ L7J3Kj7hVIF2y4wbVTUE1f3KLt/SqqPQOytwSgBdo/V7PGfbUfgzSKlpqSKo
N+hKEPzW4LtoBe5Lh3RVmtsVYZs+z6u2F7i/TZYJ9Ucrgke4q6UX2oO7MmZU
XxGiTt6qayrH+T8Sb00QCqBYk3T7Enqx9FNybqICxGS0b9uC9nihLOpwWgHm
ZQzI9WUEVU45JHtVRAEi/qfmfRFNa80Y9xuVh/8Ds6JpOA==
- "]]},
- Annotation[#, "Charting`Private`Tag$4131#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJwVV2c0Fg4flT0SWSkSQpJZhB78fvbee2fvZO+yd/bOSpSMCPEoIUIqRQlN
-MqIQGSkN7//9dM89536559xzz708jr5GLqQkJCSZ+0hI/o9NnboqmjZtirqa
-w23tPQwKBygtLtz/floxTSDQ71lAkoLtmqsO300WRfu/bIZaHdcVSGQYGQr0
-yBSDJ/59SaJpU8iOfVprGvsDXZvm8g/l9Cq8YW6bkSlfRUP+8EiaiMcKmzne
-kkizgJ6hP0m5JkYVTk0XxlyPnsb4yNQfJnQTCqqElpKi+Cm0bJw2YJp8p7CW
-1TnncPMVUpFRNnMd+aTQxVqkhtyj+OCLaYhc5rxCZu5RA9OdJ6j98euV3xpL
-CkMDToUBnwcxrMXLq1F1RcGcUyvxb2s/dvZRRi0prit8zOrgsuZ7iKl+8wSK
-mA0FFnWt0dCj3Wj9aqc6Y3pLwXucJWyk4R5OpbYVbdrsKDCwtXBrjnSgxt1c
-uP3zl0JA/tHqi+fvYht7YpxSyx8FaQUY8NJvxbKi7DG5lD2FWusfq6+S7yDT
-ydSUIoV94Gf0yc7nXxP++KP95f0gKbTPruw7YtCINTslDwm25CCfL3Gc5Ecd
-/u79+D1pHyVYsnJ6DszW4vUbEl0FrVTAwm6kV053EwPEg9IggAaMDfzru9xq
-0Pw37UNrpIOFQp7u2bXrqHl4NXnwCD30HVILYSyvQrTgabUhZQCPVyIcKj7X
-MFLqrcalCEawqrwgpmlZifzmGqtKkQdhOO6UKt+Dcsz3NBz0jmOCkO33ApJb
-pUiftry8ksUMmk33SouNrmJX+CDZ3WoWCPvVJ7T4qhh7BwqlO7pZgbc9RUU7
-sAh9I82EP39kg/Hd5pMh4oVIzq25K0nBDgkH5u1TKQpw5s4z/kKJw7AYZzm1
-73sexvn0FJE4H4Hve/oUdeu5KNoWWepSygFD7Vy6uaS5+Ois1fi9t5xQQvvU
-jZo/B41CimS2ubggIIxXJ9EsGxvr7x2k9TgGXte+Od3Nz0KHu0fDQ2y4Qf9A
-WclQXyaKemt91KHigeQ53m0SvwwcP/5EleQuD3QRWlhFJa+gEn3Yp3QXXrCA
-swN3N1KR0bD74LEXx6GPcDeOdzkF08arSzmS+cB65lpF2UYyrqe2qk4r80Pl
-H/UgcupknJFzfuJCKgAL/k4e+kJJWKRaQVLfLwAeIUfWMywScbrg9uu6pBOA
-XmxbS9kJOKWmqOugJwj2Zu4Ms7zx6JvDXzY7d/I/f32n+MPicFbrwXxNixDU
-8M9dHpqMxXLCs3rG+FNQUGQoKK8Qi6IXuSyPWQjDs4y9NIqGGHRJYnF5LioC
-AcHP1Ou4Y5Ax9Y/FEWpRiA0Kk+m+Go0F9QHP9+ZEYd8x1i4D9cuotaf565Gh
-OEi82XcuS+cSFnI8rZEaEQdq9s6eHNsoXEigLeXXkgBJ6SlhssoINLTfjYvQ
-OA1k5Itv+EbDseMz79UPw6fht6pR+QWacKzTsVLr0DkD7nWnV87nhyJpdtfe
-sJkkTNTtFLEshmDoUE/g3gdJSPDSp6TAEHThJNGucZWCfj6jLVrKYORDAVlC
-5FloZrLucPcPwoPerN9P0EjDypmt+pz5QLTOXNK8VCgNl1/mdB15E4DeDj+d
-HYgyMEoX37tiFYCNJvW/vmrJwi/FXhr/T/44XTL+avKjLBzLjNut/+2H5rT8
-cq9pCVAeeVJjK8MPGaiSh2erCPB80LWaTcAP1+bSS3Tl5GCUkjz3tP1FrHq8
-KC8VIA98q0eVJ0kuoqxwuHQTowLsS5zvNdf2xXyHz33RTQpQ8tznUe26D4pt
-kTDyfwc4dlpJSzLSC7l30iIElBQhL6pqXnvZE7Pkrn0RLVCEmZsfhj/YeWLi
-iuLkh6+KkOq5fL7dyAOjfpjfES5QgpG9A19qXrpjyT9Lx6crSmBlJMjtYOaO
-RuvLHAdUlOFrT7LYdXc37OLPVonaUgaxuqgvsz9ckYGzLKFWVwUuFxlO2ye7
-oiAve0DQTRWo34lQyG9zwZxUT+oNG1UwanTNmhB1xhISOUfXF2pQtMKT9OGV
-E9IIZyhmiqhDSOlqiHaEEzYy9diYpqvDM3/ooBxzRHoNRcEObQ3YbODOPHXZ
-EW3jI58ZNmhAhoSEtauYIxp32+Yl0WuCu9Jvlol8B2z2U4rvG9ME1ezXFF+0
-HTDaefjWoKQW0PEvfBghc8CIAxurTkVawCCy1Dcaeh6dVLLeuDlow7EWIUvP
-FTs8+PFNY9KuDkRv187lhduhh8xWrKO1LoBkdd0ZOjtUvWyd2NOlC/5zumaJ
-Z2yR6kF84b9oPeg5z/+gsdwaQ07kKfdTGYBj+/SnKgVrvNd5+6zkOQNgMLcP
-SJ+xQqjwH573NoBY49rflEJW6P42i538lQHEHPOSlX1pgUtaK6FnqwxBV5hp
-0SfaAktcn8VWTBjCecvXsmfFLdBH+sqwGp0RlPceqrDIM8d/lKsO+kFGkDtU
-zzDhY4YtGy4cKjrGwHEs7EDhCTO0/xbnVhJrDDO7n/WuzZqiSC5npUinMVD8
-i7jpZ2OK7OJZZ2hPmIDI009hYnYmyExPiCikMAUWD5YAVx4TbLh36OGovCl8
-DNC417BgjCemQ1pVg00h/UQfr56fMeqTaZLOLpqC5vDPCYU8I5Td8WOZGTGD
-wZRyW017Izx5jy5lg8ocZMkaLkudMsJQm5+hoGQOk8LNTeUDhvh9Svlscoc5
-vIve/SVObogrpda8Y9UWkLhFyOh/bYCxN554tc5YQNGtr3rMtQZoFNyx/wWn
-JTSdDbZ7q2eA4dJjg3fyLWGSyBsuq6mPs7NjSjypVlD14bPp7DsdtDYyEUiN
-soE7PFHx3Xk6SB46fLvlvg2QxX+TqtTTQQYHZjXGXRsw8RSTPD+gja2XQ/g9
-Q2whn/TuLd1uLdz6NqCbH2gHn/tZ2UcvaWFS0NENxzY7ILlnxXUGtfB4U+kd
-5y07qBR9HJY6oIlZ/G9pyYPs4SrhiyHjWw2krSkMMpc7D76XCXcEr2lgq5M5
-G73teUienqMn89DAT2P8+u+jzoPN+xLq9V11PPvAQX+o5zyIthie1j+hjkUq
-i7sjKg6Av5ccoipUceNQalu2sSNcaDlpBH6qyGhgI/02yBH8a5kV8pRVMbPg
-kz+hyBGmrx22WP2igpzd/B/VPzjCfMPDaA55Fbyu682Q5O4EGZyPZRJ+KyFN
-xJhZbpwzvOHqG/B+rYSl1VTiDjed4dok08OBJiWUvWm/rvbUGfwsN0gGXJRw
-RHZw05LZBVq580OGJxSRjk+2prTaBZim3r1JfYo4GfF4IuWpKywQbg0euYXY
-McbMv7vpCi390wrMSYjhvYfqEjjdQH/7u5y0CqLjtDjHNx83CKwQMFJIBPzk
-xf2dlMkdlrruTmpVy+MLjlJTMXsPqFBT0TroJY9HyNvJdFI8IK393M/w0/LY
-B0G7sa0eEJR12060Xw6Xr0skA7UnqAWh9PgyAX8cTcr93uIJdfI/yqQszuEX
-U6ARofcGZuUbanyC5zDoUlTRoow3xF0dxbyfsvjXSTDzvrM3lHPUbayXyOLl
-VabIpi5vCBqyS/FekMF0pfHJAR8fEPmUMv4vUxqrTB5NVo5fgGX1wFFZN2ns
-vjuatrzPF6rEXhW+V5DG655BY3pivmBuceqAydpZTAuP/WCX6gvuBjKXFkzO
-4u0Y66Ex7ovwXC3rdISEFL6OpmO2ensR1t60My8zSmHwZemn4usX4daVxz7V
-65L469+xjwcp/WDiri7nerMkElN/7W1I+EG+YA/puKQkHt0wvime6gfz/BxT
-nJpncLFv4lS+nD9MSX692C98BovX42QZjP1h2C6I4ybjGXRz6jbK9fAHTnmp
-Zd43p/HUVnReZ4E/rPqMzb7xPo1D1wKfR33/r4w/lvMQyyXQLGZhbaY2AHam
-1oZmEySQLVQ69FdPAMzvJy1DHwnUe8jYyzEZAA2uNtdz5STwXFtPRBRFIAwP
-6cskfxBHB/ZInruOgXCxo5DinKA4FhYzHv/OFQS2K4kOjPdFsK75hn9keTAs
-zErjoWwRfBvIvvKMGAwZN4QdA91EkKndQkzwVTC4WwT2i7CK4EV+rb//qEKg
-uuPgRlygMPJfeHlUxD8EjAi37fYUTyHZGZPWRI1Q0C4R8iQ9egq5pk7KxziF
-gnrBqqXeTyE8fPX8ucRLoTB8I3TlQZMQ8q4MhDW1hcKpG2OZizxCuFC6HHqJ
-Jwzu9OotDjOdRCqxsM80f8Mg0tm4h3JDEAm9+RK32MNBtk2gNGZMEG8HPCo1
-kgwHjr6+bdFsQTzSv9zd7xUOlyLdrpgzC2KHF20117twQJZftg68JzCDnCK5
-5X4ELHNrVbe78eOjVr1dsfgoWNL/5c+tx4+NxeKjsZVRkBO7ZNEuyY/aXWyj
-H7uiIDNxdtKZlB9jBKYJLdtRsM1+5OPDCj5k5fVRHXS7BHL3T3menD2ON9MM
-ZCp0L8O/o/cP68bxYuCdycXdzGjoq6PnS73Ai/IkArUt5dHQxFmfu2TJi6UZ
-+h0XGqNBJVYtkVqCF0VC2zs3n0TDWYrCIyMzPNhoWsIsQRkDwttPbUTVeFDG
-QEo1JCoGKL1uJJQLcOPhK5Vcx31joXgg9lwzGzdS/kFzq6hYCNths5mi5Eam
-GXa2/LRYuDGcFznx/Bjetl89xlobCwnNF8lFjY+hW2H/WfgUC/9I3euGnLiw
-W+EU9TmTOOgrNl8vq+LEH59LWXrk4iFDcvDHUNJ/fHTpl5N2PAQ4u7ay+nCi
-JUPl6f1W8bBhPmbMIcOJY+U8Ra4h8XCBOsj38QsO7PukRa3cEg9kP452BFFw
-4Hb0PoFiwQQwO3BSKzf5MH5byexqOpQIM0ncCVO+h5HjNYvcPsFESGVmzAfz
-wziZ0OtlJpMIVA/kwF/gMO59oRmns0wEkplsIadBdrSw28utKkmEZvS6hPvZ
-sabqsfglriT4vOVY7XWbDfctXN2bEUyGx6zvIy8VsyH7W8a1atlkcPmQH9AQ
-z4bN6pQm3lrJEEVFILW0ZsPSM3ohFN7J8Il0/sYaDRuaLoZ/P9+UDD19XtYr
-XqzY0DV64v7ZFKC78kSNRIkFXzmb2ayrp/63Rxp+G0mwoGqgkNBv81SoXVp+
-T+RmwRzzk0+p3VNB8bBE84M9ZqzyPhojnJwKL6pSQmq7mTGo7XRB/uNUuLr5
-hP8rMGOTlorEqmYarJl0nXPRZ8KKPq+aWr10uOZ9Y3sJmfDW44bTdPbpMM85
-WhJ5mgl7xW+7XfRNB/f0ZvVXrEy4ef96v1JWOgRyWjURPhxE0ne6XFQv08Hi
-j7bFwoWDKHOqTZre7Ap4qTr/pi5jROFn/m8pzmdATa3u+4osRvTVSW9wvZgB
-7MqNqcrxjGgauTE3HJ0BbIkE2jtejHhe7E1U4bUMYOL+0cpLYEQN5Vw5/bkM
-GKMqZ60mMqC8Mus7MbdMqKo6rjGrdwCV4wIazWSywKee6Ri57AH8RZGk2oBZ
-wNW5XEE4fgAHH/r8JdXMAtYaF9HlHXrcGXN90mqZBRdlu/w0q+ix4f23x7wR
-WaBP8Oz+ursfzcwEp6S6syDkZHYG7X06jJenVhdWzQbCn/ZbNDfo0O9ECLet
-XjYct7aK4Mqmwx2wk840zwbxJ4eeJbvRYcvrniM7HtlQ+Qy3bFjpMDqBpvp1
-RjY4fCVJ+BpIi+/j8fjIVDa032PX/6BEg4PUMVuVPjkQ0/U4w1acBn/u38/7
-MzgH9F0IIutHafCG8etgg+gcMFguFtD5RY1XbTxzyXNzYHGXPuh9MzWmhVUm
-hBNzQHEtUFvrODUu6ZF1lJLlwrE4oZJeFiqkKKOruFuSC05nSveFUVBhSgbL
-7yvXc2G10Y0GflAi4WaZqltDLiiPqt/bnKREt2TGas7uXGA2mV78e5USV7Su
-h+R8ygX9Z1obSQKUSCJqQFYnmAf0zEek6VQp8OH8ebKEjjzItA31sJKmwEdc
-a0LhvXkwVZ7hdvckBd6r1RS/OJwHncal2RkHKHBKyvyl3bs8oPV2FH42RY6X
-hRNc1PbyoFTxnoSHLzn+zRA1U1DPh+bi0Qevqslwrst8amQyH66aDXRHFJLh
-SRer7MpP+eCyaTIilkqGcaR/CYHL+TDjovL2vi8ZUieWOXHt5YO1wKagI4EM
-NfTbv0YJFEDPAkvKu3FSzBwn6HgEFYDDCMNrPkZSdO7ioVxlLoS5Eofn7jUk
-mHmmWC7RuAiCqo2oZktI8BJ7f7yDbRHQ9p3/5ZRFggbn7LPk3Yrg5qODczER
-JEhqTlzbCS+C94PnhviMSJB7PKonqKoIUnL2nv8jIcEVQyvB/O9FUFd61yl9
-+B9Q9Pbo22cVw07CvdiWhD9Qbn10l3S0BFjlnP5cD/oDB/Y4ntq+KQE1S2Ge
-ay5/wHfKU7BztgQcrL9Bt+ofuNKnm+i3XQJ5vo0VsZR/YL7lUv/SkaswvdoX
-JZT6G+41lnxed7kKPEd4lhqLd6Fod3LV+c9VkKrknHWc/Amlf55rDQiVwVjc
-p+Fnj3+C3JNZbXqpMuDgUS5QvPcTdK+nvjKFMih1yGnRLvsJruWFgUvGZZDj
-zTM+4/QTyAvb15ijyuCq+U4nxeYOuGj9sYp7UQYhP/8LMvsO5H+PzusNLAeP
-tlcBdjHbwJDGF1ncWwFUU9m95MHbMDqxtqb7pAIUJRzTWjy3ISeKs5t0vAI0
-pPNi+Ey2YdeQzd1nsQIeD0oqOJzYBm+HPwHHqSpBNozxksyLLWh7W8hDIVoJ
-HtWTxWf4tsDTnm1hMaISXv63ezlnN+D6pmQvN/s10P9p1ToQug7Uasoc9t5V
-kPx9xIT+68p/P1Z7Zff+dfhbkMbF2vAFisaaWYe2q2HfwWTFxorPwJu2bsOk
-dQPcdE4Sf/PNQ0pZwXvFpJsAhu59NPtmwW1oU1nsQS18T7MpyPg6DWSE+xVt
-dHWgdef1+6jU9yBgmNP6VLEeXpwhT5/TfgNBPdzD7JkNoFkQ/bYldAJWHe9w
-UL5qhAzdoI2Ao+OQX2+69/LvbegPWFP+8nIMwt/RGn7hagYxq+0s2ucvwJeb
-YeZMSzPMU/5KsnJ5BmXU26qxeAfOyjj846IfhtCLnxQuTt0BzQGh2+2ygxD8
-1OZmp1MLEGRclT38+4HkEEFoYacFRndf/5Y+9BC+2crwRl5uhYZXPgcXtx+A
-h3Bjbue+Nnhn9F3Y9XEn1IiQJc6mtYGrMtfxRzLtEHy/sfMVzV2IGPnCWHin
-BZzfXeLdzLgLYbH73cUZm8BHhkxC5EA7KDgd/hRx4xa8TNO51xrTDvxVVjdW
-lKrh3bjVrdDf7XDzC0vwqHoFaC90vR736IDfD6RNLywXgPOwL9vMyw546CM+
-XcB9BURb04q0FIkQZzHX/H4+HZx/pLVMKxFBeeWXk9StdEh50F0UqEKEWx4c
-JsdOpwPQEYfL1Ingb6ZdM66SBosO0w9WdYmQKy5l2+OTAtQTZ77FWRHhD3M/
-uI8kQIfQG/eUACKIPX7a/Tc3AaTP+VKxBxGBM6TOqMYqAcJVOP1vBBOhJIam
-UmgpHu4TiPV9YUS44vjgOD15PKjXzjb9vEwEuuvznsIQCy8+2/62SicCGUV9
-p1FCFFTpcZX8rCZCmnyRBRttFLCcJhrevkGEdoIwL0VmJMiKJz12qiWCYVDR
-plNxBGwqPdwcqSeChLzFAF9zGKzVZ2JFCxEWt/uXqxeCwE9ipUWqlwgMH6lz
-mH2CYLsiwnbxIREyuIrtG7YC4Zmq5FBRPxES/w6J25AHQk4619TuIBGazUS/
-tfD7g8XEo7X7I0TwPfKQ0m7GG84deb4t8Y4I2SOnXPy2vCAmrSZn+j0ReFqO
-HZmk9oLZ5NJv6R+JMPg+j674tAdw0S7Off5EhOJAt/rNFBeYH53uL1wigsUh
-L5uCSmeYlK+xVP5KhKIUTZ/UDidAycTb35aJoHpdU9L1swPcXijKV1kjQsRw
-IvnLTBtw/rZlsbpNBPkFg06BPiuQOJW6WLBDBIc2L3XObQvwD5eWwl9E2Mfm
-/W/JxhQOdU/R5/whwqoBaVNPtjEMfXtadO4fEcyDtTTODhnC5brXs7N7RDig
-v5tK7q4DQcan2k6TdUJi0ZzT7QkN0MkIJrwl74TRlxbiBWqq4LQ2ERND2Qm0
-nF5h9zsUYZFXJ0mQuhPgfl8WwUQOxCZfa7+g6QRF5Yu6YQQpeNgV8CKIrhOO
-CSeG2mkJg24iPxMnfSfwZp985KfKCf+WvjL3HeiESwcWHKVLJhSeaPlE7/9P
-/z/4N2Nv
- "]]},
- Annotation[#, "Charting`Private`Tag$4131#2"]& ], {}}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{
- FormBox[
- TagBox[
- "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
+ "]]}, Annotation[#, "Charting`Private`Tag$2643796#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
+1:eJwVV2c0Fg4flT0SWSmyiiQ7Qg9+P3vvvbN3snfZO3tnJUpGhHiUECGVooSm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+ "]]}, Annotation[#, "Charting`Private`Tag$2643796#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]],
+ LineBox[CompressedData["
+1:eJwV1Xc0F94bB3AjQhFZiTIysoqMRHmulRXKJpmJpGxSVERCIREhO9mRPa/9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=
+
+ "]],
+ LineBox[CompressedData["
+1:eJwV0ns0VYkXB/AblYlukWdJQ5GSSrj0K2wl7+Y36YG6lMijq2gSKTeSpJQp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+ "]]},
+ Annotation[#, "Charting`Private`Tag$2643796#3"]& ], {}}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{0, 0}, {0, 0}},
+ PlotRangeClipping -> True, ImagePadding -> All, DisplayFunction ->
+ Identity, AspectRatio -> 1, Axes -> {True, True}, AxesLabel -> {
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
StyleBox[\\\" \
\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"|\\\",FontSlant->\\\"\
Italic\\\"]\\)\\!\\(\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\
\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*SuperscriptBox[\
StyleBox[\\\"|\\\",FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{\\\"-\\\", \
\\\"\[Beta]\\\"}], \\\" \\\", \\\"\[Delta]\\\"}]]\\)\"", HoldForm],
- TraditionalForm],
+ TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\[Chi] | \\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\
+\\!\\(\\*SuperscriptBox[\\(|\\), \\(\[Gamma]\\)]\\)\"", HoldForm],
+ TraditionalForm]}, AxesOrigin -> {0, 0.015}, DisplayFunction :>
+ Identity, FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> {
+ GrayLevel[0], FontSize -> 14},
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None}, PlotRange -> {{0, 2.3}, {0.015, 0.105}},
+ PlotRangeClipping -> True, PlotRangePadding -> {Automatic, Automatic},
+ Ticks -> {Automatic, Automatic}}],
+ FormBox[
FormBox[
- TagBox[
- "\"\[Chi] | \\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\\!\
-\\(\\*SuperscriptBox[\\(|\\), \\(\[Gamma]\\)]\\)\"", HoldForm],
- TraditionalForm]},
- AxesOrigin->{0, 0.015},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- ImageSize->{467.9999999999988, Automatic},
- LabelStyle->{
- GrayLevel[0], FontSize -> 14},
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{0, 2.3}, {0.015, 0.105}},
- PlotRangeClipping->True,
- PlotRangePadding->{{0, 0}, {0, 0}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TemplateBox[{
+ "2", "6",
+ "\"Caselle \
+\\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"al\\\",FontSlant->\
+\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\\\"Italic\\\"]\\)\"\
+"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"},
+ Background -> Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #3}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"], ",",
+ RowBox[{"FontSize", "\[Rule]", "14"}]}], "}"}]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{
3.8762098132490873`*^9, 3.876210114932979*^9, {3.876210229455621*^9,
3.876210239439103*^9}, 3.8762103425194483`*^9, 3.876210503369525*^9, {
3.876210758072206*^9, 3.876210817271525*^9}, {3.876210896342799*^9,
- 3.8762109031134443`*^9}, 3.8846914827458572`*^9, 3.884691623712654*^9},
- CellLabel->"Out[12]=",ExpressionUUID->"cc721759-3e61-45b9-a2e5-7355171aadcc"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}]}],
- "]"}], "]"}],
- RowBox[{"7", "/", "4"}]]], "Input",
- CellLabel->"In[33]:=",ExpressionUUID->"d791a8a8-5290-490b-9a1b-d5bf9c6cd5a4"],
-
-Cell[BoxData[
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{
- RowBox[{"-", "1"}], "+",
- FractionBox[
- RowBox[{"26592656237357401", " ",
- SuperscriptBox["\[Gamma]", "2"]}], "14322483561143241"]}], "]"}],
- RowBox[{"7", "/", "4"}]]], "Output",
- CellChangeTimes->{3.876208695658787*^9},
- CellLabel->"Out[33]=",ExpressionUUID->"2723ffda-71c1-41b3-9446-6fd7f97d95ab"]
+ 3.8762109031134443`*^9}, 3.8846914827458572`*^9, 3.884691623712654*^9,
+ 3.887175492411874*^9, 3.887184325602675*^9, 3.887184375892168*^9, {
+ 3.8871855348141947`*^9, 3.887185597667794*^9}, {3.887185799070383*^9,
+ 3.887185827915172*^9}, {3.8871858794918337`*^9, 3.8871858971152573`*^9}, {
+ 3.8871860663050613`*^9, 3.887186101048482*^9}, {3.8871863952497263`*^9,
+ 3.887186406346018*^9}, 3.887186449069482*^9, {3.8871864819645844`*^9,
+ 3.887186491476892*^9}, 3.887186524625689*^9, 3.8871866422836113`*^9},
+ CellLabel->
+ "Out[147]=",ExpressionUUID->"655a40ca-05ff-4292-b196-684739c53e3f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"pSus", "=",
- RowBox[{"Show", "[",
- RowBox[{
- RowBox[{"ParametricPlot", "[",
+ RowBox[{"ParametricPlot", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "@",
+ RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Xi]2", "[",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
RowBox[{
- RowBox[{"{",
+ RowBox[{"-",
RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "15"}], "/", "8"}]]}], ",",
- RowBox[{
- RowBox[{"-",
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "2",
+ "]"}], "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
-
- RowBox[{"{",
+ RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}], "]"}],
+ RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Xi]6", "[",
+ RowBox[{"\[Gamma]", " ",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}]}],
+ "]"}], ",",
+ RowBox[{
+ RowBox[{"-",
RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{
- RowBox[{"-", "15"}], "/", "8"}]]}], ",",
- RowBox[{
- RowBox[{"-",
+ RowBox[{"(",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "2",
+ "]"}], "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}]}],
+ SuperscriptBox[
+ RowBox[{"Abs", "[",
+ RowBox[{"ut", "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ",
RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}],
- SuperscriptBox[
- RowBox[{"Abs", "[",
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}], "]"}],
- RowBox[{"7", "/", "4"}]]}]}], "}"}]}], "\[IndentingNewLine]",
- "}"}]}], ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
+ "]"}]}]}], "]"}], "]"}],
+ RowBox[{"7", "/", "4"}]]}]}], "}"}], ",", "\[IndentingNewLine]",
RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
- RowBox[{"PlotRange", "->",
- RowBox[{"{",
+ RowBox[{
RowBox[{
- RowBox[{"{",
- RowBox[{"0", ",", "3.3"}], "}"}], ",", "Automatic"}], "}"}]}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}], ",",
- RowBox[{"WorkingPrecision", "->", "20"}], ",",
- RowBox[{"PlotPoints", "->", "50"}], ",",
- RowBox[{"AxesLabel", "->",
- RowBox[{"{",
+ RowBox[{"\[Xi]", "[",
+ RowBox[{"\[Theta]0Cas", ",", "gsCas"}], "]"}], "[",
+ RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}], "]"}], ",",
RowBox[{
- "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+ RowBox[{"DScriptMCasD\[Xi]List", "[",
+ RowBox[{"1", ",",
+ RowBox[{"\[Gamma]", " ", "\[Theta]0Cas"}]}], "]"}], "[",
+ RowBox[{"[",
+ RowBox[{"-", "1"}], "]"}], "]"}]}], "}"}]}], "\[IndentingNewLine]",
+ "}"}]}], ",",
+ RowBox[{"{",
+ RowBox[{"\[Gamma]", ",", "0", ",", "0.999"}], "}"}], ",",
+ RowBox[{"PlotRange", "->",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{"0", ",", "3.3"}], "}"}], ",", "Automatic"}], "}"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"AspectRatio", "->", "1"}], ",",
+ RowBox[{"WorkingPrecision", "->", "20"}], ",",
+ RowBox[{"PlotPoints", "->", "50"}], ",",
+ RowBox[{"AxesLabel", "->",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*StyleBox[\"h\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"|\",FontSlant->\"Italic\"]\)\!\(\*\
StyleBox[\" \
\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*\
SuperscriptBox[StyleBox[\"|\",FontSlant->\"Italic\"], RowBox[{RowBox[{\"-\", \
\"\[Beta]\"}], \" \", \"\[Delta]\"}]]\)\>\"", ",",
- "\"\<\[Chi] | \
+ "\"\<\[Chi] | \
\!\(\*StyleBox[\"t\",FontSlant->\"Italic\"]\)\!\(\*SuperscriptBox[\(|\), \(\
\[Gamma]\)]\)\>\""}], "}"}]}], ",",
- RowBox[{"LabelStyle", "->",
- RowBox[{"{",
- RowBox[{"Black", ",",
- RowBox[{"FontSize", "->", "14"}]}], "}"}]}]}], "\[IndentingNewLine]",
- "]"}], ",", "pCasS"}], "]"}]}]], "Input",
+ RowBox[{"LabelStyle", "->",
+ RowBox[{"{",
+ RowBox[{"Black", ",",
+ RowBox[{"FontSize", "->", "14"}]}], "}"}]}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ "2", ",", "6", ",",
+ "\"\<Caselle \
+\!\(\*StyleBox[\"et\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\" \
+\",FontSlant->\"Italic\"]\)\!\(\*StyleBox[\"al\",FontSlant->\"Italic\"]\)\!\(\
+\*StyleBox[\".\",FontSlant->\"Italic\"]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "\"\<n\>\""}]}], "]"}]}]}],
+ "\[IndentingNewLine]", "]"}]], "Input",
CellChangeTimes->{{3.875952981547227*^9, 3.875953315769273*^9}, {
- 3.875957061887289*^9, 3.875957104302837*^9}, {3.875957134472674*^9,
- 3.8759571357521*^9}, {3.8759571703214827`*^9, 3.875957176129848*^9}, {
- 3.875957284251436*^9, 3.875957289963092*^9}, {3.875957366732642*^9,
- 3.875957382812718*^9}, {3.8762091878796577`*^9, 3.876209192631675*^9}},
- CellLabel->"In[95]:=",ExpressionUUID->"efe0717e-1a4b-4a72-a5da-a2e9186bd1ec"],
+ 3.875957061887289*^9, 3.875957104302837*^9}, {3.875957134472674*^9,
+ 3.8759571357521*^9}, {3.8759571703214827`*^9, 3.875957176129848*^9}, {
+ 3.875957284251436*^9, 3.875957289963092*^9}, {3.875957366732642*^9,
+ 3.875957382812718*^9}, {3.8762091878796577`*^9, 3.876209192631675*^9}, {
+ 3.8871754989267273`*^9, 3.887175499101399*^9}, 3.8871842906781693`*^9, {
+ 3.887186114918988*^9, 3.887186135551132*^9}, {3.887186188946741*^9,
+ 3.8871862078981543`*^9}, {3.887186291595374*^9, 3.887186300211134*^9}, {
+ 3.887186502030856*^9, 3.887186541775611*^9}, {3.887186589650141*^9,
+ 3.887186636184795*^9}},
+ CellLabel->
+ "In[148]:=",ExpressionUUID->"efe0717e-1a4b-4a72-a5da-a2e9186bd1ec"],
Cell[BoxData[
- GraphicsBox[{{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
- Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJw112c4Fu73AHCrEI8yMjKSEYXs9SXnNjNSVEZG9g5lj5CRrWSvbGVnhqwk
-o0JG2XnsvclW/+f34n+/ua/Pi/u8ONe5z3XOFVPHexYEeHh4Tfh4eP+7///o
-NaRMYoIxiMSWleJU6gqQLOcdkOPM4zLkdyolCAtvOtA5nN+NkxucjkiCjy5e
-3Rmcl8Yqlf5JycK/DQ2Tfy8wiKnjx2e8CEW4E/1Rch9nLRYxfcJRFTj6KCO3
-hnMxUasy8bU7IHML6zWFs5jDNdOz0ppAZJo+M4BzD7cJYbjZfcBG+T77grOK
-kHsuRYQWUOQEKFbiLPHfqElchQ54/yiRycR5jONQh3H0IXxIILSOwNn0gnxO
-Dr4BHPSFtLj8L74elzHftUdwuUxGzQBnzJpML5u0Cfxo0N7gxFmG0frG8l1T
-UPzTQkqCM2+ujG+FmRl4zjo/WAzCoI72XzxKERbQlt/qlYPz1AjxW8oMS6gV
-cdD2xRkL31QnKqyAds7DVAfnl4pzt71HbeC/nu9kRDjfZyhvV1u3BV9b9oKh
-QAyyKdnJYSZ4DOzbh24FOE+j9pa2aw7wUlwp9xbO8lahkXHSTyHB20jJIQCD
-vmk+Zwlsfwp1J++thXF+HsGa6qThBMJ43fV7/hikbz3w5IG5MziWJ++640wr
-b6TFEekKbqZd5ebPMYjueJeQkdYNIhW79Rlxduq7PkiV6Qaub07Fev0wiOzl
-Hv7ZKncw9uLwF8H5ZlaSzPGYJ3iIclgu+GCQtGht37GFF3z9IJ76CuchKZ+W
-0w0vUNvexhfD2WfKd+AM0TPAw+SY+zzDIFkMWxgXry9UZXU/3/PCoHCDjQZ9
-GX9gbfTniHHHIN8h4iDxMH/A9gQlUuPswu2nT/PTHyYMw1dj3DCIXK9Vvc8m
-AP5bI78Z4YpBFF0yzbrxgVAmweBt6ox7H9AwkLX6AnxW6IOLHDCIUHivNVo8
-GFYXH3CR4UwZGI3xDwiGFwKhxdb2GLTBKNhsQR8CmCYTM+bHGBQxKsmEFEJB
-h24w2N4GgyqK+Jul08JBX2G5Ld8MgxynO2zlF8LBp5Kmdt4UgxZOMHVqQhEw
-aZ8RzYYz/TlCDZPOCPjc6/cn1hiDRm/CYuZuJKT088QaGmLQcX9lp6v6K6Dv
-zVOM1MagGkNeVTW8GNjLQaO6t3D1n5X13YE9BmjSRtQtlDBoJAsrH6sUAz35
-NNuOirj8ySmxYiNjoDv/WrefPAbZu9Q3BjDEglzien8Y4PKd2i98LBQH5ON7
-SrfEMaifrli/yTIBhmnxhW04MSibf86MKDwBmO0SLklzYJC4VVeGWkkC4BOI
-SmLYcfVvpvHx904CCM09YSpkxSD1laX3F/wT4YvYdf8eRlw9YYhvV6YmwQbV
-0l4LJQb9LqT6dtCXAjxWlTJaJ+SI9T7huZrdFPgiZRi0d0SO3gddKHGjS4WT
-FPFLCYfkKExjhP3IIBXs7bzEe/fIEV5rJjHVYiqU1fGDwBY50vnVoRDyNw0q
-nYkbMubI0eO2qbA43gwgfrwHMt3kiNZgzK6vPQvm+/AIwxLJ0V/FtNSpkSwQ
-39MsTY4nR1dGJqe3V7Pgol29U34sOaq4NdRAT50NR0yuyp9ekSMMXc2np0bZ
-cCqwJDQSQo6cFvEZ9Q6yQUNP1LjMnRyJSPA1kvPkgq2+H9W+FjmyQZc/QNxb
-OK5PKf9LTo7iZ1ktW9mLoPZiT1bfUzLEn2M4hKEvA3wBU2L39+fQ8U5a6np2
-BUzqc7B4DpMijSlusWfU1TBsoH0j4YQECfbi3djsqYEyrPDtwmNiZJKvpEjm
-8hEUPFuweydn0YCRgtkwZyO8QKFNzftnkB+z6schhk8QkVGxzthPhNJivv8I
-S2oBxg+heoR1hEgjkFO3X70VTmt+7agGEiDiY7U+0YttYPsbkX7XwEfmmBeZ
-VcPtUOhxaPdXCA/peLcm0s12Ah3FeF3e31PwCCM9odn6BtdKzK09O4+BbuZr
-O59uN3zJsp/vcjwEO1fKN43LP2DLIIQ2SmgfmFJ+XZVW7ANM7/1h4PsDBhuY
-UIPBfuj/ePyShGoHauPVNlncfgLem2C+FYEtWKJ6UzT47Cf4Dup/qLu2BWti
-MgqvA38CDSdLbhjbFqjKJF88//onuG/VvOej2QKlVHDiK/4Jh7Ga0cH7mzDG
-vT23N/0TzvJUNXk3bYL7g8CK7/d+gf2zvlNX9U24rYcJPJYahAv0XGddsesw
-TqWAf1lhEFJvTwVk9q7DkId2hNLtQTi3W+z8o2Ud5FRu9mYZDEK8EU2VeO46
-eKuzeIX5DAL2rdRnQZt1sGpkkmP9NAiBBULZXTtrIFPRgR+kPARMX4rrs8jW
-wDSVbn/HchiSotLQkuIKCLz8J5TkOAy/Rd+MzUqsQOReUTvyGIZ/BN2JMzwr
-sEekR5gRNgwjMrKuy5Qr0Hvugmh08TD4bVz4wTyxDGMad9KVd4aBhFZck9F9
-GZrQoitP0AhMD9uQuRQtQX3iG66EqlFgjg0LKmVehKJ6g1XZ5lF48/HzrsOF
-RZD+L/9g5+soNIoxXBcmXITHW0r/bLGjINtiM9e+uACipdM2eefGYPt10DvG
-qgUIopHZ0zAdA1LL7+leagugLrLlX0o7Dj1VgsYXfOYhSpeajp9tHHwI2UhU
-n8xDUMKlxg984/BIUsU3xGweWp0YdMYUxqFiS3gQozoPKsl+gV7O46B7yCil
-TDcPhO86sbT946BnzkvuUjEHxTU0r4/ifkOXGpFcwcosJO0bLglk/Yaq5uHI
-BOws8Bq27DiU/IZVwu3QkIFZYFY/f5Og/TcIb7+Od6mfBXYNJ/fg/d/Qnv+J
-yDtiFhhGiR+SG0yAa2WPniTvLCw53tNR4sHC1uDDzmdPZiB0Le5BgAQWuGtV
-fSfNZ2DcDEg7FLEg42e7dOvhDDxqvN9ga4wFxfJX2CtyM+BC80WBKQEL83Et
-6gQ0M+Alr7GZiD8JNNei5Vxrp8Hm7P42n9Mk3EZzB+xE06DooPFw1mMS5kn7
-7zUdTsEo1ZkLGX6T0PSHYlF/Ywr4r0T4XYmahM94kV8yR6fgQD4Cq5c/CUTa
-+Eqa5VMgH/fFMwc7CYPMlPbqRlOgm890UqQ5BRo/SFQrGichpkyO8Y/uFOyO
-EF+oqpwEc20RFnnjKei+IUFZVzAJ4o5hM2sOU6DlcaGtK34SrB3GDn0jp+DH
-YtvWJYdJ8DbJGI3tnIK2u3d07l2ehORY8fOlCtMQpp+Nr0eChZc7Lg0q6tOg
-jVSGonYm4P09jv0VrWlwKJqX+zoxAXRYHmEFq2lIalQb066egD3rnDSF8Gl4
-2O1J1m06ASs9g5SRfdMgaCAtzdn8Gx5TpK47WMzAVnWRUqDPOPyx4/u94jAD
-Pb2CTwpsxsGqm9vsiccM7K1d5x7SGgdSFSq96IgZMKtUlVO5MQ4Pu6b2eStm
-4D3tJG0odgxaJJsUp/BmQfI0/thRfgyIq3PXvXNnoWn/t+78hVGIKax2Viud
-BfyCpsfwbwQotBzfs9XOwqxxG3nG2gj4R2o6Ln6fhc2U442n30agRYmWun9n
-Fq4lLEpa4v4V3z4R71XFOeiQqY8OPRyGgI+m7bTrc3DvH89A+eIQJCRvYzcO
-5kCIhqNlbGgI7rZHbvYRzsOg8wg/eccQ1OkKsZczzANZ1WLU87whcO+2I/mt
-OA94aU6yNaZDEE15dnI3Yx7SaIV4DCYGoY713hVP/QUwPTqg8R/9BQYH36nU
-rBYgxq2V9Pu3X3DZN4iBy3kB7sgrCTLW/wIxg8Xk0/AF+F5TS9uT+gvc6DP6
-OOsXoFqCit/X8BfgSWg0OuD6gJcLoxAxri/apRJJKSwvQt+LBvW6jQE40BdQ
-cd5fBM6nnXWdkwMwVjovWEq0BL6vulUm+gYgm5Kt/9blJXi51j3AWDUAwTss
-FORaSzDDMOI/6TEAgqO0A/Ofl+CA7NbgK8IB0PN0yXyUvwyzs8pdAcz9MKS0
-U/K4dhk86GNuXKHoB3IMKEd0LoNxuVZt+98+YKg+CTlaXIbAgVDgmuwDMgFp
-vNzrK2D//DqpTE4fqJkYTUiWr0CUNMFqy/U+qJ2jnBTpWgXC777LzNALyS/J
-5MImVqHmuG0sQ6AXFC0vN29troLbostvbrZeYLouG/nv4hqwn5w9r3GmF0Lv
-kmCoTNZAsyGFZz7xB7jUvTQXOF6DGGMshra6B/gux5bcRRsQMBFKeXTYBa4Y
-r2m8BxsQe00t/vVkF+j/oE7usNqARyVS/4l2dAFpwxhNwqsNwOzZTGfGdcH5
-la/0UpMbwGHKG0Iq0AX3WYJsp+U2gTNv9pDF5jvc3Wsrfrq1Ca3Gpuyas1/h
-x/WC5+0nmyDxT0vCtusrGI9oBHOTbMHZIQ/5V1Vf4W5v4HOay1sQ/q1T7DTo
-K4z0W5e+VN+CYrcJW+urX8HlbFcIa8kW5C1X9nnZdUL2TS9uW/dtEFaN6Xzx
-tx3Cev1el73YhtJkVRrJ+XYIwP8hfy5uGxYMMyWPutuhQq2W8aBsG37LDZK+
-fdMO5qULfS0r2/BTgTcq52Y7/NF9ZydgsQPNdycDRZ63wfr1tr1Glx2wT5OJ
-+mLdBs6H89omQTuwodV5z1SzDeq7928t5+yACP3WuQ62NvBweDRDOrsD/StB
-xyLtX2D2yFyuwHoXbHxapbLOf4HilkvrBZ67IGwhxk1+2ApalzftW8N3wdp8
-qyJouhU8cn/Xy5bsQkNqXWp6dStYjCfZP93Zxc0zv164GrTCtp7faXfQH/B9
-p3yxtPgz1M6Ik3A07sG5O7Oj0jotQE38kPMvzlLLRgRG2i0gGR2cYtuyB0xX
-mF/O3GuBM/JaV+737oFjAsXHOvkWYNBMyk2f2YOLlwQV5ARwThUcjzi3DzpP
-Oe+7kbbAmsTRYNvDfTCRERGwbfgEGayTrpun+1CJtxbmx/EJVPQqSIioD0DD
-rsrwA+UnWLvxmlWC+wD2Ts6FbJ02w/qsOB7h/QNwsKfwRZXNMJjLEMNTeACM
-qVWxOyzNwOnnaEpmdAgfK5Kzi44awSfUeEzV7RDi7A9owgcb4Un3hU/vow5B
-c+i5p18Fzg/rr640HELkbAL5e9tG0M1zoRdiPoLPxcmEV8YbIJ2pJ0hz7ggs
-rfK91VvrYWaoxiQ14QTsCSyHKrLrIKWNtqmq4gSOt00MLgTUQadTdeLfnhNI
-aueODjSpg58VtVmcJKdAe+R3UMhaB4cvmX17np2CFI+G92lGLZRj2TeOHf+C
-/4FAa2l2DeSqtDzTffUXF1991CKwBuYSkhvWSv/CK9VLTkLmNeBb2Zn2Zf0v
-eE/p0pNfrYESTvW7Ik//Qfie/8anwg/wIuz4Rz/CQ5iUY7UbtdWw9IoGY3cP
-D121rKCXTqkG2dMnJRzmeKinoFbC6Fk1MPO7+5+G4CFtai+rOVQNLOUj6Xf7
-8NAtXVfBrW9VkOVvK/3dFh9R5E0TE81UwhsSsrq3vvhINnDvo0V7JUidNg8X
-xOCjTsX1uPGCSuiyuvyFux4fjX9OqCB9WgmZAt8OLlIQIM9+R2UTvEp4Ahc2
-6BsI0DzvZz9C9gpg+ejNG/OTAB3MD+tanakAEscETfk1AtRxEzs1s1AOnGZp
-1zQuEyKzYNG9qyXlwBqqnMQdTIjuBmO//pQoh+r27uuBRkTId9NduOtBGeg6
-p8QPehMhO5Z8rzqJMjAS/lDvkESEen62SDczlUHUVeO1J7i53mEvWoX723tQ
-r3hWM6RyBil21jxoXysFSupofJpbZ5HruaaoqzIlMCigI8ljfRb9GXP2xZCW
-gFN305mksLNIYk8Lj/NnMZy8H5Z37z6LvoZrZMzZFoODdNOm40NiVKjjmVWc
-UgTGqw+ivANJkHDaaOhtwkLgWqT8G1FIgliLOlok+wpg9eN+MEk/CSo7s8Kn
-k1EANAWUfrfZSJFWuEUYm3QB6OYWCAp0kqIGg4PyI/d8EIrB7zvDQ4ZyCifI
-iw/eAtWV5oZX2mQoa5r5YkPXW3BYeGwZE0CGWJPFfvzJfAs6j5N0SMfJ0M2l
-GOV5lbfgvaD9bCeOHJ2OEGA/vsmD7picOY8v5Ch8bZaI3jkPpvtf9gbvkiPK
-o6KGdOU8CBNQ6lPA7c3aTeH93Lu5kOlMEhLKSoGiYkb5+NVzIT3+VkP0AwoU
-MnLoMcyeC7WPrDaFwyjQI1FOiaKjHEgJ0wvQ2qVAS7FGRN35OfDI0Sv2bv95
-xPW40gmfOAeu9Fkn9w1dwO2Z/XXXv2eB2AfOIq39C6gw0L7UJjcLIt+dowE6
-SlTdlDjd55MFsmz6dCq6lOhEfOOUWTALvL8VWztgKdFAaUR5bnImlGe7umgS
-UKGX00L3+VwyQQTPW62Akwpx+CixYO9kwsjM4G6zPRXy/xh6tYkoExJbhNQ6
-CakR1z3kNjCbDuyzO07R16kRn9Jeu1taOvwqIzvBalIjjsv+Co8fpAO3S3j8
-5WxqpB9NXa3e9gZcWhLAXoUGDZzXPl4qTAP990/uT1VfRCEth3tBL1IgonOs
-Nn75IhqvPDhbIp0Cr7yfyHCw0iKNz3+0RXeT4SMlt/9MFC1iZFYusjRPBsvm
-fBJfFzrE6xM6oaaSBDKk797Fl9GhGlv7t66ESbh869FUrtEhQezFtH+NiWBE
-2WpOb0ePKLNtyEREEuGE4rXMLWcGdOeswBQLZwI0l289UaplQAW5v05UpuPh
-OUX7ZMBfBpSqbCz7KyMeWIQF/AZeXkLXj8hukTPFg9Y6d83nZkZk61xjdEIf
-BwabQiLJ55kQserkGPdILCQcUQvuGjMh+mdCEdXJsVDVUMRlQsKMCgfMojYY
-Y+GtSmC3uh0LcmPCd5vniIGtwtXBZ50siJI1B0uz+Bo2kx4oRXFdRgF8G4k5
-Ra/hqcCNhdCVy4jEfYl4Wvg14H336ZRrZ0V5b099Z5SjoXiXLpLnlBWtGtv+
-oTkfDSF7f4PlRK8gO2e/AfWiV5Dv+i/9csEVxPXP/+dwx0v4wxRIXJjJhtK/
-k5mfkkbBnujdc7TTbIg7w/TQJi0S8jIZhAg52dGHnVe0SfyRkBNpWRTznh01
-ePvclNSNgJ6IHra7++xIr3zGuXgtHHSkZOhbEAc6f8Y1YiowHHpaCQnwRjjQ
-rsfFltcVYZDnB19XuDiR6q81KoxaGJDTkbZ98+BEn4yjSlRnQ+Gu2Ke0d6xX
-0WqkCD+GIRQ2Mjko18O50EgqXX1FRDBUPvSvrVniQh77f/1IeINBKnJh5ESV
-G0mVGPle6n4BjdxGh9oXr6FZw0+VzpQvwOhzjP0b32soci1RuL4qCITqDKw/
-L19DtV65vs26QQDK6fr0XdfRkn4ezb/sQJjLMjkMkuVBZfKN5f+pBAJ/tn3M
-rY886MDVqEl4MwDiMdRH2h94Ue3og+FHKAB07GxiGsdvoKcmAhLpS8/Bxa6s
-e/0JP5IcYXX6Fv8c7rwbixgnEkCrQzY51XLPYeSS4fmdXAH0YikgMfamH9Ad
-LN0fOxBAjaJ69vOpviCYccDse1cQmWr649cd+wCj4ia+8xkhxEwo/BDb/AyG
-EkffkVoIoWd3Bi+LcDyDgc5u/tkOIaR2j7foXLg31KQ2x5xJEkbbzqoAel5w
-8YbkdvYZETRTl2OT/sUTN6/+SxV0F0F0y2Rp/gKewHtp9+aGpSg6TeQPHyT3
-AJrHJTWRc6JoTzo+TMXHHQrEks4cWouhBu1sevkNNxARk36t6CeOPv1rzewa
-cgU5QY6BKioJtFo4Tfjojiv8bsdWUhZLIBseiu8e7S4geyJZsLoliR5Zc8ep
-1zsDxtYv+mrGf0jtIJGHVMIZ8FirRtrvS6Gc5+73ND84wbC2TB/hL2mUECDe
-EF7zFAr2O2VSs28ioRPedp//ngJlLb5UtKcMihgQWsdrfgJWmY88/7IhpKeg
-M++W7AiVqeeHzNMRIuyzy1wqcoB1iwDl3suySDXwSlJQiz0QTinSF7yTRbWv
-M/6ojD6G5BjKPGMxOUQ0L7YttWcHrw+S9Jy65JDJc6oRg4t2EEd8/Zu5rTyS
-kdwmfi9uCyfny58qflJAN7S0aLdeWAMfWV1IkKciEnvsfHG+3ArOi5E8U7mp
-hA7UE9/QTlnCzg3vWWvyW+h0mcDtBbUlWD+PPOhauIU2j498RFUsIJ8YKXv0
-KiM/jfmSawHm0OLoPBbaoYL0fj+nt2gyA2p7zydbc2rIz4nbpQmZglZXVHrk
-8W00YSjHphBrAifG1k+L2e6gRd+Lr98vGsPsQqv+qMFdRK8SWEsoawzR3SzC
-81oa6EOZmXaIhBHwF25+qCbRRDPnsfxzu4aweKNEfK1DEyX5mSVw1RjAYPpS
-WHPcPWQfbGai5acPf920Jl88uY+YNLQKXdX1oFRHtLHN4AHKxnj0vrryEKI+
-m/wT19dCZFPLz4qOdcAu4IxKn7024o1nedc7pg39PPwUXQk6yKK6OJn4sxa0
-5jeXVA3rom+cmfu6pQ/g5OM4pYeYHuoQufm5O/M+GBmuuLtW6iO4/9DIMfke
-ZLkw3oi7b4iWpLQybyVpggZht+YjRiP0zfHHV+M3GrB0/urehVBjZGeuKRGh
-eRfkxg2ZMWkmaDxoq47AVR0cqHhaNbtNUafsjVbIU4Mt6QemMqzmiOz0i6j+
-tAqcLeksxaRYIIbOHQVHXmXgYDMMJ5O1QhbyqrGJgUogH3IoPMZkg7xDHB5s
-LShA+SeT8AExO5Q0Hemc+lAePuKdr/NMsUfN3febPwzLwpH/Lj81zxOU7BrH
-ZGmBQHD+uddO41N01PrD/82/m4C14zvUe+2MHNpvrAtoSIH9rLAAQ5Urkl09
-hx1rkIAxdVWCCEkPRMSKB0eKYsDj0ZFnJeWNaMtzLDdWhAHL98vCadwXcWRb
-CXC9FwTwYim789YfXYtxjLvByg+NmwcCX62CkDmeQ5k/Cw/Y3SMqfz8TgkQM
-1Uks9Ljgr/RxqKpZJOLQ5Zan/cUO+ck/HjHzvkbniFYVj16xQmd63C/Nm/GI
-xOf97m0GRngTSK7whSAVlTc2y40lX4Qgva0D154sxM5ebj2bdwHUxXaKg9/m
-o9/2chvEL0gAw4Um/FUrUJ1VHS/JKh5YhI0+KBdvQi+J2OiGrvyRodllwHIy
-9aBbAt7E/VfnZcLOyn7Xbp5H2VRJe4fPfsjoP5i4KvRyA3mR7S1IC3TI/B/R
-Thl+
- "]], LineBox[CompressedData["
-1:eJwVymc8FfzfwPFjZY+IIknZ2Ssrvr+OlL13ChkhGZdN9uggWcUxk5HDoex1
-kSIZZXSSklEZl5LtIDLu//3g83o/+Zy75W3qQonBYD79r/93SFwjfdxtFRXv
-Lei+Ee/VaGqx6dgXe4Ow2GvPW0ZWNbhFZI9+3m9CPIp8VcGmfzXCEn0HJmer
-0MPrfZH4Ymow9zidjBctRQkHNbXsg0zw7US8rea7AkRLszu3z8QBj1aynLU2
-s5BwhIPnS41TULFn231CIwMxBue3z26fAQ3DybwTrSkIVTAfFpw6Dyy+u4wN
-dTh08WpC4PEAIagyYGxYnYhD3X24C7KsYlA88fNr7UQ0Svl4hfvhvAQMB4ny
-fFuJQIO07VVeYTJwVN+GXrGEoZzwV9S7RXJw7g6LmvO3ICQu0Gg0OaMAKRMR
-okvKAehFCz4vBymB0retEhXSP0hA0GjDak0FKMKmTw0M+SCCKMNwZ+cloAru
-EfRV8EI0ubIko+cA829L1JHuHUSM4Mf33rgMT9K3Vm73uiErvlDrhE0sYE+H
-iqfnuKI0I8olKfwV6C0+896gzhkFteJOpupdhYghsv35Y07IbVfEIohZG3xt
-e3Y+Jjsix+TE9LYpHTis9MfOqzkgxzmRDcl2Pajjo7vswX8TheHoSggEA5ik
-aQv2oLVDwylNlVQlRjDsZ63kLGiLTsm//vHgkzFI07/jM/axRoNeBflO302A
-qH/orzlviWap7ObJ66YwvW9QrBZhgT5RW12TYTCHLl0ckXzRHJklVS7TiFnA
-tPAxnj5GM9Srq4l3NbSE6Jx0j4xdE5The5SuGWoFW23mjwoOjJF2Zmf5wypr
-sLfXT0/lNEaGL3T5VedtYEWVLNQSYYi2ApcalAWvg9TjqHDfDX0klNiSFO5u
-B0eTC7PCsXpIFTlI7DfcABqNDdMTUrpISiE5jnDMHuoCNsP61rTRnp6pp5q0
-AyjYXfLk7r+G9uvoZiSnHeAuf8MuT+NVZOk2wy2c5ggHKKKcq14LKX86Ucun
-dQssl9i74l5fQQymVe7sB7egRO/JugODJhKootgaC3CGGebDjmAsFn23+0gu
-uOgCMXn0NoYJl1F+Brqrv+cCLisppL1RhDAuwa+mXrlCdedl+mpJhDyocz0N
-km5D13OpEMOzgCa1khmyLd1gRlBxMoSsjqxe/NBvEnIH48E0b8KgGvqZ50Xl
-8t4DPMUaue4Pq6I73pbmSyV3QO6+t7bhtApSXdSkUInwhETJBXR+Vxl9sWGQ
-vnb9Llyq3FRTOauMFv9OcXGoeQF1YG/TuJESmpfNp8k54w2j7Saz1kkXUR7p
-YbUHhQ8YxahGJfIoohxe36TaRR94Y/leXMBbAYUdsfZbOvrCYN3oL/d38khh
-LdTMeNwXgt20tlVy5JCTxdFLlcF/IDA6hW2LXg6xMhx4Cuv4gWlWWEhnlCxK
-iuDGOL71AxcBgrtMpAxi29PvbH3jDyy/ytQvHZNBMlu666NaAUCxbSuAFZRG
-DdqjHMp9AXDSaWZr0UsSYYiJ4SMjgXDVUdFkukgCya7GHVBaBcEdCcsPlV/F
-0Z0+629B00Hwm0jde8X5AqJTuhAqsB4My2WdIQsvxVDG4IYDq18I7AxuBIuc
-FUMBCQ7DrNshYFLQrxO7KoLKox4q6h6FwiojdaGYvQjK3WGXiYkPA3vMESn6
-ozCiy81rHmC6B6uBCr/D+4VQi3hlXiJfOMQnCDl36woh/eLtk4eEcMAry2cd
-DAui0Ioah0iFCPjEnDFcNS+Arj7WaC81jIR7KxT2yyrn0WvuVbra3ihgoVfX
-6hw7hyZntkXYj0fDWZsEFu/Ac6jQjEFt2zYalnmxDXsd/GizfKRIay0a2tNe
-rxa78CPaoAHRGrUYML3QT3jNyo/IzKas+fdjoCBFIpN1jA/plBF8t/ljYZlV
-rJxOmQ8Z+2RLOnvFAmevHJ1m4Rn0n7VOn0l7LGjyH6nOBfKinQF7UaJNHAxJ
-mxYyWfAgD8XCDv3ceMjTZixS+sSNUklzaS9+x0OcjlVvnjU3on4bHJmqngC+
-FedFS91OIUWsmFPPTALAAPk2hsiFdgWT/DDyOOjsY7ijhOVCM7eptDVxOCih
-rK1bnOBEic4VHZhpHES1/dEI5uJEcfT1TotJiTBgwF138RkHMlNyafJZTAJc
-EinTxIgDicykE6I0kyHtnty7m3vsKMD5MTV9QTJYULm2cVmyo60NwfVokwcQ
-M2XGlXD+OHqgmZbB/CoFeG1yZFvH2VDhL1LXOO9D8GHapQ7OYEOesXZOvKEP
-wS9pKOcuHRuq6yTTU19MBf81yyo1BhbkKU5lTbRJg5Qoyon76cyodnnvXzIu
-DRisHwwrnWZG64Z68oEtaVBdUTwQp8iEbM7r7PGfSod7jIWcqnEMyOwZqznH
-13RwEgnroz3DgLzcrNp4GDNgkUis7mumR8uyw6E2lzJgviXz2eYGHXJdPNl4
-70kGqK/zWryIoEXvslaHrdwyIQM3PD0qRIv66BZ6TuZlwrZveNnjoWOoiC4h
-gGUoExgDVD90CR5D4iplLU8UHgEe82hheIYaRaEPs0bUj4FDcdmvqJASEQlM
-9V+qs+CFQ/HD+OuUaIXzUsj+bBZU5o9P4rgp0ekxbowlTzY0jae0fcBTIOm2
-Br7K+9lAwtJ9GCjBIK14DbtPznhQ0eAiHrphUPxb7pmyfDzsL0+RBaQxyESN
-c4Q4iocfthUKN+8dASetVaeVVg4sXLSoxg0eQLLP9L6UWC5Yr10aPXQ5gI6A
-JVLFrVxYc8XTsWIOgBy5PGKTnwuGDdzmU8r7wMnDLmHDlgc1Nl2mtu170DVH
-0ze6lwebXt9Eaqj/QKtnj0z7eAE0ePe2xVbtwDmWaxv1pwtBe8Obs9ViB/7V
-TKBbvFEI5sqFbJJV2yDXHq94fLYQFFfD2CLdtmBx0qJbb+0JUCyIPSjl2QLu
-bWWJ0zxFoD4m+XNnkAyjpOtE6UtF0D+zLXZcmQx/kLtpU1QRXJjPqvTj3oQP
-/zCWqDI+BU4O0X3P0Q3o2PBfFZN6Cof+w9fd0zZg/V+mVGWTpxBeniBgzbgB
-PQFhU/XZT0HfuOxHCtM6eBse3hIQLob1B+O5Nr4rQKDeL1rSLoGcr5Qon2oF
-Sk0f3Rm9WwIhkxfsb2Uvw7H1TYbJjBKQ9N3F3uxeAnlelW3dqRK43j/yx0Hi
-NywJX/lK8CuFtWb2VoaBRYitLChJyymFcqSzSOO+COMnIyrwnaVgPBFF/bXy
-F0wNWJbTM5VB9QLnZUf1n2CzyCjl+6wMmMmOYwdzCxAUSZtnN1gG8n9tkl6n
-LICBku2AG7kMZscKzxJn/gNTrqr2WewzuCkqexCfMw9UgpdFXH88A4jdf5mn
-NAuKuu/rawQJwMRnHepEngFDzSi7TV0ClFXQaG/UzoBu3edhM18C/BupWWMj
-PQPaPdH+Xi8JwI/rSKeU/wE6llOuzLYVIP3qbg25aRp4vrDZ02dXwgK64v77
-6jTgo5kWFDorQUTGNv3slynwXTnailyohGU3te9Sh5NQeTZBKkCZCNziPnr+
-1hMgJC808W2CCFgaIqMY9gvIGYirfRathlBTBh+Ouc+gHHsxkMmsGgqsGusO
-Ej7DMc/9Sqfwasg8kx73ZngMdKS1O4JJ1fBqqoL/tecnIHwLn8ZGPId8rc6y
-wQ8k+G+51Dt+8gXcPD0lcjmGBErkRrUQ6hqgy/Fbj5MnwXbYfb8unhp4Opx7
-9A/+AxTgvGJSrtVAkeGvuuI7I1D9lmqavrgGnMLV2UI83kPS3Wdn221rIUQt
-vC/s4zvILL/psOhfC5l57EqiGu/gFc3+jlxqLRzOFeTcPjUAPdok6RNv/vdf
-OS2z8K0X8PL1qnzSdeB53rGqwKIX0sRai4R166C31WSF9P4t9McZZei51AHb
-osBMWWcPMD/ZsFjKqwNZ4miTa1M32Fr4xGcw1AOuP+RvslI3jO3tOeCE62F0
-I0ONoa0LaG3c7xVg6yGp0EQE0/0aFr4o7gmH1UP3vrdvY18neJKar3ct18Ob
-7bCl1K4WyC6jnYsYb4BN1vaNc0vNkKv0vSp/pwGKOAwlfp5sBjfHBuUfnI1g
-lJDwciugEVb2R/5+N20E6bD8fFu9OtCYfr7wfqgRcOtGL0nxtTDdgJzkVhrh
-SIOqUrerBhQYxf7rZm6C/fXCWWzMc2DxvMHoZdAEXTsNVxOJBKD4YxC6NdQE
-ubwSJaJQDlcC8TUfVpug2vu6gcdYGWweqb74ztYMZmtbmArWEogtrSXnmjVD
-adoNzc9WeTCf2cJfONEM5bUJnD+b8FCurjsnedgM/PFtp7N5s6BkeezKLn8L
-8B5p/43+mwZmL3I5tG+3gPKbc8rSvx6AVzJGfSipBYrvY/4eLNwHIWvOsMfP
-WyAlz9NcbzMGIp7YGj4htUDEdGrTPOc9WO6ovLq83QL/B0ktRvc=
- "]]},
- Annotation[#, "Charting`Private`Tag$237555#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6],
- Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJw112c8F973AHAjIp+PZJaUkT0yS1nnZmTLTBEh45tR9s4qhSSrItl7hRDZ
-o+y9997jY0UZ8fd78L9P7ut9H9wH557XPecwmzzXNCPAw8NrxcfD+9/+/yuw
-4vMU9jUWfbWwGeI45oD4hyVMmFMnc4oOcR6LQtgadpr41LRF89Pxx3fAJiOB
-+dgfi3aIHw/yHstDnKjDzNapZ+Rt2sr/qcJqedC1mVP/NPZISDvWAOuO9bmO
-U9+TshuxPdaGt94p7KWnFuDE9Ekc68L+/dKl2FN7vEPt5471IFVLhMfnf/fb
-EBKP/jOA4lVWnOGp42+yTQ54GYEbJkpQ7NTvt4liao+N4TF97O6FU/d4xA/k
-ej2BmU1ZsYVXWFTatV4Qc2wKfjOJJ99Pnc0f0+h5bAFfC1sxaqfOz/p9x9br
-KSQE/dSmPrXP/J9Rs2NLULdquTL4EovaZ/dwusc2IK5pJqx56jXcVrq213MY
-PyPkc+7UOblKeNzetjB+yUOt2g+LtjdsAvhO7ODaML7t1VOTX5F+JVhtD9+n
-/eqbfLGItGHjvKi3AxCQno1+fur88Gla+RNHyPPJa/nmg0U6Qj7JnicuUGCy
-rXLeG4sSHnlNhFS7wrjTTlGsFxatXnThSvZ2AwFe5QTOU1fdceDvOXEHvO16
-fJEXWCRK61yhjOcFDAbhu0weWMT1gfWWbY0XDPTsvohwx6KKh9Syn3y8wTfC
-6C3BqUXpHdOcfXzgYBRuDrhiUUH3ht04nh9cW2bu1XLGosyZgO4DIz9YwxUE
-ZTlh0VOtFz8u1frBbub95n+OWLSUFCv9yPclMJvjjUc7YJFd7Aj9Lr4/mGVT
-m2fYYlF3Yve6J2EAXKLalWO0xKJxLGtlh1UAqKmf8+d5ikW835u2WPoC4Ee8
-T7Hwf1i0V8VZ1JMSCL0Urmui5li0oqtZqX73LVx8rlNz3uT0fZvj5zoDQ6BW
-557jvwdYxB2aMKayHQL+3enEzbpYFMgwMtGm9x6+xM6Eh97HoiCNTJpVmlDw
-83wSQ6WNRZgDkpdnF0NBPr7ixbIaFkk4UVqGBYaDO7sVXb8MFjVXq6WuVIbD
-PklqhJE0Fm18ii2V2w6HvbOC1EsIi35fkPPE14+A8PUrbKuSWPQ5K5Y0lDcS
-jEZbPteKYtHcUUE7tusDEF2N9M7nxqIHClez8i9GQ6SZ0XQMFoumRydUexSj
-4ax94ocWMiw66pBn3HOPBmXtlcVdUizaytd8JDseDYkaGU+libHoIpVA6WHi
-Z0jvL/jz7RiDRgX0aoZ5vsBnE/mtbRwGzWUP+trdiQc8Ngux320Y9GD6vfS0
-fTxkPhy6W9qCQbw/5Sq0UuJBJ+YFxq0Jg/iPrjknECbAiCNT42Y9BuH/pjCI
-M0+ALkZh6h9lGFSkO787wZsInjEnc7npGMS3OTDnV5YEzDhGA35vDPK34g1e
-70kCYgrn8mhPDFoU3Wp4uJoEoZtvKPHdMSg0Q/nkJkMyGKvvfm1wxCAV3Nb3
-M17JMPWuo5LPEoM0vP4xbdxJAaru7CvW2hg0JSC/Rd6aCp3BQTYF7BhUe12p
-6vdMBnD+ifoZW0eGAt7/Fdn6lwHiojj6s9VkSOtqMM/mxUzQUxUStSknQ0Sw
-lbyrlglvhfca+YvIkNh6MyVjeSaoZ5a4hKSSId8wLUdcRBbY8PN4Fb4hQ3La
-070R8jkwTv2iK12RDJlJhsUllORBkRNW4PPPc+h4UN+U7lohPLLjKCXOI0Vm
-3NEWRl3fQUOouvW5AQmaE6pSrI4oA9mqrY7U38Qoi3qd9COqAo8baq0boURo
-TZVIfup2LZDmmOGq8M+gy5yM6Ypq9bCoQhE3+poAWf94tnzW/RdsH9gEU1Lh
-o0DL2e9F+E1wJETZZkZ6Arr4uNLY9y2gxxS5RStyBKP3uC+NR7ZDrNaoW6Pk
-PuQqZ0UT2XTB382+FQbXPdg8o09q79AFc5foM7HP9qBs6i7htFsXBEWHvMcz
-3YP2zauxDa+7AKKfDa3d2wOmQM0v+Qld4O6dYzfJsQcd+lyW+P1dsNmR4ME3
-tAtq/xGmJUM3PPRn9bUX2wW/9gYn/Ss9kHo7xKuZ6DfoEHhKUrP1gGFyXrXn
-4Q70PluL6eLtgQW63zVCWztQyZTFqS3RA8Pj68TpYztQqLva+1q/Bz5Nvy/O
-L9yBV2Zj2NjPPfAs/TVSNNkBdXrFiKTLvbA5fWYqonYb+l/h/Wji6gPymKXM
-goAtaJn9T2dVsA/m7+R+qfTeAsdn+S0XxPrgjJM+bZvzFvxtZFaxVOqDPcHF
-+E3TLfBkp8dXsuqDvMFcmgd3tkBZ7u9WQ24f6KGcoYSDTRA9Egtuv9EPAdFX
-di8/3wSzlY6ids0B2F1K5XhfjQN0/lrzr0cD8JTbv+BtLg4IM/Mt6s0HgCgi
-WSMkBgdq55N0O90HgINRfCDVBQfiHXfDuJMHQEon7/CKAA4sfW9vb/8egMbQ
-/rPCSevQuio6tfllEFYuDEpuB60B3d4zu5T0QWD80Cv4zW0NtAw6bht+GwT9
-EV451//WgGJK581c4yBkMUa10N5dA8aVW2USO4PA3aanHYu/BhyWx+VMykMQ
-7tzzosttFeYkByNnToaAeB7vS+ezFdAgP0MrTDYMnpmmzxMMV+Dw4EQniHYY
-Nhp4eFzUVk7jRMyryjcMWc7p+jevr8Bolek8q/4wmATpxB2uL0O7M7k6S+kw
-dDIHfEh8tgxnmqwbX7mMwHIDrbae4xL0Veiylr0cAYOq7v1F0yUIv5DL8Of9
-CPgv87z00FmC9kPbf28yRuDJfj0U3VyCxTePNYlHRiB76PFD6/1FWMAw4ntK
-jcLd7oyuPe9FCFRmEH6JHYP4gPEY+7AFkK5FQ4OXxuBSr2p26csFWGX9cyjM
-PgahLX3dhM4L8FrEdZQAxoD8XK9Jpt4CENDdqT+0HYMkYcq3gqwLoM8j+9Fo
-YAy4bn5OvVE6D0rREpw86eOAx02tf25uDojKY4m8isaBzd7x0/bAHPC7/9IZ
-rh2Hsv6wicnmOfgz5vg8c2wcWumk3jbnzQEmdMUun3ICZBp+agx7zMFgiy+L
-sc8E8DLT8q5Qz0EwRnM1yGQSfhH9yGtXmoW3XKM/RewnYZzwwYCi5CyUuByO
-LftOwu+jb4Ot/LMQYfr4wClxEo5LhyymqWdBX/qCPN30JGxiVLM0J2fgbERc
-mqzgFDxgGKJTdZoBlcBiPNmSKSjrWDX+kjoNQk4ULsPVU/BsDZx7oqYhnbHz
-iVPTFAgb31MlD54GHNluZc3wFHTYGqNP9tPg8TxXLu1oCirN/7uGg2nYOnik
-WigzDZIl/Sx5o1MQtfBrAzM4DZU9EqSudFPwLqP10+TkNChXvSwSxExBbKFK
-XenSNLwmNlDdxJuCLy5x5V4H08CzEBX4t28Sjki6yfSuzoCanapVnMcksG5Z
-pWtbzMA+ldZqTcsE5F4tEAo9noHmsFTS+7bjcNwetnmHZBaG77O14+uPg3pY
-Je/hhVnodCcRK5Ebh880r6Vfsc1CCqE7KVweh6acj0NbKrPwwU5Po65hDFLV
-Q72lY2eBGWNI/ZFxDKTjiskPZeagVJwu33xoBL6xLdu6qs1BZOTXgMyfI0Cj
-Yc11/GAOcIU9zrv5I6Djnv6T5dkcUKkKv8sIHIE2yctl3VFzoBak4OghPgLC
-bGKvOjfmANvbX9qTMAym5E92IlPm4SeeuIG4/RCIzu8rC+afmsQhJ/bxEDh+
-MdMaLJ8H2jeGoySqQ9B4VTUO9c5D4IZZ9z7HECyQODgFEizATaGcdbmJQUiz
-P9g8NlkAnHe2kb/KINB0vfLu5VmEPOLasUj+ASB1m1AevL0IU6OtoREMA8AQ
-y2S9JL8Iteo1Dl9IB2C9L25byHQR3soJVLbN9sMQ9Xt2q9hF4KELupIe1Q9u
-GQuUbpRLEENfiLlzph8aLl/Oij67DOQYnOz+TC/UzrO8eka3DFaUFZq3u3uh
-rHFKQYtjGUSc7WVfVvdCQl7Rhor8MiBJbIvIl16IOterQBiwDOJ+mMvk93uB
-ze/YJgyzAomKs2WfWntgU+OH5yLLKkTL3yDbq+yGQCHC9GLhVaCnffcg4Gs3
-xHMMv4qUXYXx+YgTlvhuiPNTKX9lvgqs+SWadj7dMOhLVCWYvQr8Wv79djLd
-oJdeTNwnugZ6lRHv8Fq7wNQqa3vbcB1yrYId39V0wus63hhS+3Wg8ftTUpPc
-CV9IPmqL+K/D1SqO62fedELdk1KHhux16Hwfn1Su2gm6x/b1U/vrwDeqILY2
-2gFVgpv2pJ9x8IZ37IP6YTvcw/Zm065ugBUdlT3p3TagSFz8zwR/EyI7bUuP
-ONvghXNxizx2E7pNSKwJMG1gdEw0Icm2CRSpR0RyPa3gE/mKeERnE2hX/e3T
-HrdCZUWk8PKPTZCfZYnuf9ECrx5FKxc0bEK/MwGsG7eAqkDxw8DeTZBIUjqm
-vdsCqaeHT9c3oc+dqiiBvAXymRHPBvMW7Ny1fhqc0AyetIy32EO2oNfDwrim
-sQkyZiniD2O2gGmKhONPThMkZG/NzmSe1sWg1QIIb4LIqqdvF39twUS3MQGx
-QRMESlb/azveAjM+vwPznUagVOadZHfcBtEyuyyna42n/1fd3uVnOyA8ynwx
-MfQX5FKZZ7N77QDrmbhrbq6/oI5dTlA+ZAd4DS7mGhv9glCD2IctX3dg5jsJ
-u6nAL1ijuNIzvrkD7SKT1653/4T1hCeORm6/oT8pZaOb5icAucPSWNBvuCbN
-8TLvuB58buoQ2n/5DU9WcmVjF+vhAu/ZnYXq3+As0yKZ+aMegjyFJfBJdmET
-/4Gnn2E9yD5rvMUWuwvvn0y23siuAzkSL1XZ/F04wudZovpQB3z+Rvre9bvA
-MRY2g+9dB5XU1UpKK7uQ6ldugNWqgzAZ8+3bt/fA17pzevqwFupkJJW/j+3B
-QR7tT0/1WrBduCO4J/4XfkdcpNElqgH5ZHl+P42/cGy+gE80Xw3c22c2+Sz+
-QhpMGDlXV0M4EWvdfPhfEFQ0icxwrIbpIU6yidW/wLz4bFNxqgrq/CPjr6fs
-g4H5lINbRSWoM5hID5bvw+SD+gPHqEpI5JW4mtK7D6Zt9wOCHCthvWf1Rzbh
-AbTge30i5KsEqYFEKQ+zA+D55ZzKG18BXMRf1U0FDoHmu6m3VkA53BKRPXZW
-OgQ15vD8VbPy03xZ5y80PQSZPof/YmXKYe15W0Rm9CEQiFqrqJ6UQW/raEMU
-0RFMV+MTT7iUgUL1lYrB+SM4v5SrUGHzA1LnGkvaW47h77SEp4h1CUy4irqE
-rx+D6nwXtbJSCTy4nOMYRXECD9PF3nhxlgDN65BhS90TuMtm2i0+/x2kS60+
-SyydwHtyrhlyo+/APiHAHfMWD9Vw5gqR6xdDjSKNlFA8HjInVP6+LlYMIFIz
-vvENDz2xyHVYpi+G4Yq/T6dG8FBJ3JrDjdEisBrIyk7ixUehYdMOVw2KwD3V
-IoFiCB9JmJLU85gXQjSThY8cDh9p66mLt8gXgt2lcMWMMwRoTLdW7RVXIXCR
-yWXvCxKgKyiPUXn9G4g9LEgeCSFAPi/J77M4fwOMV+8UlSYhcqW//AIXXAAP
-tSaGnloRIqp4J4y0bQFEOfof7L0iRNZfz3zO1yqA+spqvR+lhCiPoy5ggr4A
-fEtnvbdYziBrPYEUz6x8CH80P9FJQIRa+Wsz7WPzQOCT28nBFSIUKh9sT2yV
-B5XsdKZGt4mQzAvR20238sBY3K1wzJYI2QW+9e3v+wqsje7UeTNEiDrISoHm
-/Fd4Q3JXy7iHGCVxL5AxBOdAmkmoSMAWMQossTQJeJQDP2p6AncpziISt5+V
-zHw5cD//Pmm6+lm0y8wnN9qRDZ6PSuy8es+iS++oFi2os2FyN3Oud5EEga0G
-0Uh6JqxP9051k5GiJ6nEDuc9MmHs3jKOTYAURQ5Sb9qezlEsG/QVfW6kqH3k
-yWjJbgZEJJG/sblwDn3W+tmudTcDtvQuXE3QJEPU+HML3zfS4JeLMnuo5+mc
-FaAtmPYrDUrP3ApaSSNDGRAfXRNzajJumbkjMoSjO3zjrJAGkaHR+LRfMehv
-kabYfHIqyKQhmwl2cuS6QrpfY5ICYpXdXbd0yZExFZkJs0QKWAquXaQKIEfZ
-Atv3s2hSIJdeK19tlRxx/b2Te6M5GU7QQ1260vNIij4xSEAoGQ7rfuCnrZ1H
-TSmW3b2YZGhKk6KdoaBAn5Zv3oxfTAI3mu660bsUqC1P5trX2CS4cjni/KPv
-FEiIH5FnkyXBUnSdAF4vBQqoJm96t5gI2n0VjLsbFOgvVko4qj4R6k/O6g1w
-X0CvTroXr3kmQtqWscznlAsoN/i1Bs1GArQeXRIyzKREqfwhuIzSeLgvdtWq
-oJUScWb24j9wigcjoS59axwlWpcKa9cWiocvFukCTDeokO+ID5tobhwUSx9I
-FzRSIepi+cOYtFgIrKmKclinQjhV8r1is1go4Km9kUNFjRiE8ocY2GLBsVlH
-LcCYGm2/4cd1pXwBD7uGPHZCGpTVVRrYmR4DpkodOf28NEh2Knpb9WkMRMyY
-C2J0adCXRnLnizwxkDg5ZHgplwY1WzFYhOV9hiR3vJsHj2nRseUQH0VFNOyG
-1F8RnaVDBEmiRjyzn2BSWpz0zOWLyFRk7MAl5ROQ8PJxpmldRLcVjR4wmH8C
-rApvtkfjRZTEqDlptfIR4rblaHE/LiFbzxs/WP58gICP2tcX/l5Cob/fEnOX
-f4CXyYmEI7foUZXUAGOA9wdI6AwubSmnR//JfZNQIP0ALLL7aXYdl5HDX82e
-PqZICNExwC7RMCA24ceC7xcjgO4P479AQwYkk/fHKv5rBIzc5yuw2mFAxOFf
-/9VIRsCJtZeoLe9VZEUzYEhkFA413UEOZF5XUWEMo5kVVzikMTRcJu++in7H
-/zJg3wkDQjsFAmsPRlSyPFn4+U0YuDpqp8vaMaH38pEjbkWhQIG3Unw9gQnh
-5Hn0XvmEgqSCruV2JxMSl95fmVEJBfwqzwwGIWakUuuZItr+HlrLbavi8VnQ
-3qCKx454COTtPmTbF2VByNcmSmb4HZTXVo08es6C8h5+5xBzeQf166oej6dZ
-0JtC+5ZLxcFg/+6WDlvvNWRwt9E+9tZbSJ3As0+mZEWpqbx2l0eDYELpH7OV
-FivyPGiSk/IKAgknOu2jIVbktauUZdcQCJ5XA39J7LKhIsFO/CDDABipdeNn
-QOzoPbZDnYs4AP58YSyMCmZHV735tqy+vgHnPXD5zM2Bes8LWY3gvQGc1QTD
-TU9ORGcMSDfXHy44j8iad3Iirdc8OjGP/eE/me8/DFm5UEkAvoE1pT+M8vU1
-TvRyoaQCjh9Fbq9O65t4k991bpSzKN3Ec/0VSEXPbXC85UY63tPAP/sSdA5G
-couUeFDFntPMiNpLON9DrlSZy4NI29Rb/YhewmORu5ykVLzo3jfPqO8VfsBY
-QstUNMeLhPnojWp5/SCuOm/nZdp1dL5vTcqIyhcqHRuwnVf4UYXX3vSTDh/Y
-W0k1IIriR8Mlbk7bgT5gI/Ehok1JAGn8nDjKI/CB2+1TFz4GCyC15zv2ld7e
-0D/XXXGuSwClOpFt8h96QdBhXYvgI0H0gVKcVWv3BXCp7e4RpgoiLZObToSO
-L+A3O91uzYYgEqNf/Ne44wmSFNu3Zd4KoYOvKXvBex7wbdqJI3RMGImnawbh
-k7rDcgcx++hNEbTYsPRBLdQN7vd15pdGiCDBv+luXy+6gQZFZ3uEzg20/S5f
-KI3XFZx6Z8aaym4gFVpMjWSpC1y84xJzwnITUes0fFiUdQFCfQb7raObyNq8
-87OdsTOo57AZbz4TRYfiKERjywkctQbnXOdEkX6FhaaMnxNQdH4SrR+5hdxM
-mBb10x2BiEi6iGBfDBGrsYwZHtvDuUXwPxssjtZ51mdbPtrDsPGkMjmrBHoH
-i4wKAvbg2rRoTmMqiRjp/p1zNreDsw7MHVEYKVTBXZrFTmgH23fKxljLpVCa
-AZ7RUoItYAROdn7RILToFHJOqvo5PHKwHCF2QWjuQtgmB/5zCN0Rkt8ZRUhJ
-loBcRO4ZePP9dxJZcAfd+EQmXNhrDZUl9K3FLNLIIeO8JftVa/ASLc96GCWN
-qHEFohWWVvD94t1M3nAZdNutR0T9nCXsJNlOqrPIItaeveExtacwOpbcRfND
-FqV6K5etffgPSkhYSBfvy6Hm/BIOn0kLCFMt7rl1JIeCYipefOKxACr8bqrA
-zLtorbSXWdjdHBRdRRSNHssjXcmel1qtZqBi+4UVf1EBYSKYXVidTIG8hFT8
-cpkierlTwjjQ/gQCGLdpjaKU0MalwmJyricgMZ4QmOCnjHB8+rMdr02g+c+l
-4xo3FWR9jt+IbtEY1DycKsq9VBGRqdvWkqIxlIgwvUgOV0Od7huWsnlGINjl
-HU7irI7Yn0ea3CZ8DLpPytK46DXQ9fGCxZvjBjDpmJTo26SBcjBrtOoVj6BC
-U6Fty1cT5ekHSL5J0AerCZyjo7wWyicn65wI1AOhhCsGTPTaSFNB2OKh60MY
-enJSwnuojZScrrTtWz0AkxezfburOoj/TOhmnakuKEisfSLA3Uexzc57JSb3
-ISqzcuUc4QOETxAuOGamA29Luh6c8D5EFT6G3MLPtOExtx8d5TM9ZG0pmVjj
-oQVlEQPNtU36SLZiJiwgRBMEHqmbLoABcp2jFH2fpgEZO8F5NQOGqPJ3Kflw
-vTpgeDT9XysYofSBmor+tntASh915d1tY0TvI2UbwaAG77vpsraRCSra/Xey
-66wCL0j2ieKMn6BCprVZkjElaM+MTdyJM0UKpmQaQ8qK0GFUc3bzyAw1NHIo
-2DXIQ4aRAb+ijwWqpJVIm1a+C7NPQnKjrj9FdEytN2+NyUJCRUBUGLkVKkt9
-0fTKRQZsbOv35Tht0CCvuezQFWlYIAq47uv/HP3LM2qS7UTw+h7OhPGSHcox
-lgwqpwOI+XikkRJnjygnrt2xTZeAi2Lnz7x+5IgIb3GU96mKgcDPSlFDQ2d0
-2lhGXCK7BVV9kcY731wRW4SvhcPkDbh2i/e7to0HumAdoHm5VRhuPuQvtUvz
-QsU/NF/f6xAEYuky9xLwRWM3eg/Se/hh1ax7ISz8JeK6k525cIsX1HHu8+WW
-r9HwKkPuSScnzA2ah2/sBCL25qKAzCg2uErPgI2zCUEiJoLbeREs0PSd57zh
-5XDUT09JsPmSEVIS3MyNtj6g2fNG98kU6YFc429OkEAMuhG/pkjsRgOfXI1D
-sFqJaHuH4/pH2gswudgV7DufhgwrbDjGFc9BpW73Z86WPLTFHT09co8Q2FKD
-5JtzS1DR2zDc67ADKXdds9BL2fVoof2530W/TSkiBf7c5uZedLzz0TWUY1pK
-PZyJryMWhza6o2qrRhulcG2PKSD+D9qu+C+Ho6ta6v8Anz6kFA==
- "]], LineBox[CompressedData["
-1:eJwVlmc8FX4fhu1VRkZ2thChKCO+P5tERvY+IiNbqGyiY2RlZI+szGPlnMhI
-RVNkR8QpEdkjxfN/Xt2f69314npxC2B8TFzISEhIKEhJSP6/X8Si4ovSdpHL
-r9UYyu4u1cSdv9GfeN4jxQmzR0EF31UdV/etzpt3I/5o3602q03VisCfrUtk
-rcg7ypd7Tuyfqv0yhsP1eh2aUvMgNTaiAL3DEVH8i3I0+TV+dHyEDjxqSlTL
-3hajM/evqsgznAArRgX8k+e5iKV9B3eDgQ0yoq+M+A5losdXuGo83Tgh8UWc
-/5pYOhq5GdqZxHkKht72Jx8+fYA4V1+aNKUIQEohYZXVPAEZ3ni6RVQWBlJT
-aR3ZsTiU7kmqcYPpNLxkf3gymTQWRb7VqDc+LgHRdnRthNooJNjz7/XQWSkY
-6tvIDwmOQJ8HLg5lKMtAcAJ3WfW5ULTXm+JosCELb3kFy0w9byO2ilen1Z6d
-By4WVh9X2mBk9C3QlS9LHiSwa6xWfwJR7djeUn70RSiUCR1qlg5AfZrnMv0j
-FaFjqL6NptAPjWuZLNumKIM2R+vBhUu+yEVM8Dl3gwp0CdxMe0HpjarkNif8
-vgIQtbwm2cY90TkyMidmJjU4Uli1e0B0RyGKhkrhCupgVW7BRCfqhpIoVfLm
-3DTALD67oyfdFV3DyTcJlmjC1G1KeypRF5QryV4uNqcFkx+0HI9POaPUwh/h
-U2I6sPmOVaC3DoP6RQL5hEN0gTAzStOQ64QMfxVI/vqgB9fSV2Ci0BEtRfBQ
-npLSB9GXecedfBwQs2Rcy+P0K8DnKsj356UdYtQKWvQ8MgCBwWcsZSq26KVK
-w3eHgKtwup7b+GjIGvFX0/deCDaCU2bpGN4YK2RnpMegpmAMvFBlcEPfEg3e
-rXr58q8xMOiS3MsUt0DpmhTMHX0mkLFadFDGbY56HiBz7lRTyEvHbPfzmSE+
-vPWZKftrUMatq+Uldw0l8uDsNmXMIF9uDi9iaYpsP4ct2VCZQ4aTVWwd1gTd
-2Yz4d/yrOWS3mLx5dsIYpbYOI4lcS5i1kZkwcjVCuxKuhfGhVrCOKy/Pxl5F
-WbdpJhgx1qDBOhAwbmmIiqjUfjy7bANIP1WMWtEA1YUzzMdesAXTv+mT38Wu
-IMGwQJrrInbg0UEta3FaH613nWoxYbcHbB2fBVFfDwWaG5gLkjlCyPGvTRd9
-dRFRw6+8IMIRthbkHSKKdJBcAjPNw0NHcGqwGubm0UZm5uzrRBIM0I4tnz3j
-poXu7IgmKcdiYEbp6uXSDk2EHxJ3JqF1BhFptYSuUA2U3kPq/+7kdbgsnI41
-X1JH+kd6QtwF1yH4UOvpJXt15ExueLZb2AX6jY8lJFuooVGZQi1yBVfAzDzW
-Mv2CkPbPOkz+C1f48CDMjNcVoXrx4D9RRjeAy/CwyI4R0KIfI5e4txv4/V1m
-3VRRRdSHh9vEQzfYMwhlKAhUQfsWQVvEVHdI7jHyS9lTRijQxayi3QP8xkN8
-ObSUEXm9mC7G0BNwQpgzF3KU0HJ/dZgl0RM8lDMkVo0UEakOK+/ySS8INzoR
-vdmqgKy3nAxicF7gJL/I6MyvgNRy5q8YGHgDLjvaNZbiImIYy03wvu8DRXJ8
-xO6wC4iW/8TsLIsvNAccJYQeyKPXsgVWfNd9gW3cY7eKXB5hq92OzKn8gIJp
-y7wjWQ4dq0xRMbT0g4ae4rYMbjk0mCAdPvrED2htYt+vqJ1HQRuH2lnG/nDt
-s8ov61ZZVDrIjPDlAVAUJ2+JtZJFJR0CA6f+BsDkgjWDJ4ksUk3AMTOYBsK3
-zia+GTMZdPSIyi+O7BZ82gzAqlDIoH7xmY/0NreAV0XYc9xdGoVlaMdwt9wC
-pwxCX5fiWbQcRp/+6kYQGHCFWu1WSiESvLMOpjcI8h64OYlxSaFPu6cpo3iD
-4XCp6zmRVhI52XpjNEeCwYxZLE6KRQK5HjRGv7t8GzQfB+/FFIij3HYeA4/q
-26BcO/FjTEIcBSmcnYmluQOG7sduMRuKIWmTfROp/juQ4RdwoN4iij6H7ny+
-YBAKTG8splZMRdH07O7JioZQqKE9fDG/LYKSDnM0k5jDwIrMIvEGEkEBncRU
-wkQYUKhaJmyvCKEDOwhL9IqAdNnaIM9sIaTsmS+o9yUCmhLCc/+oC6HtZk3W
-VyKRQCp9wou/WBCpRZXe/pgZCcyYb+RDvgIo/jwv+1pIFMTyPkXXxAVQeNVP
-gmVTFPh7LaYHz/Oj4qSEHpJfUaBl5f7Cx5Yf2XMlOdA7RsNYbz/l665T6M32
-why9fgy0Z+xxGemeQkox6rmucTHg83qqzWOYF3U3rOUc9MSA/NG7TLp1HmTJ
-b7Y4rhgLCkI1Hcy63Ig+Yc/LXPIe2Hj/mEXzXCj7WO9GnPt/fM/XODSSC2l7
-k75fq7gH/bTCMvPdnEjT8Sabj2Ac5L6TniSz5EBPXYT5j/PEQw31sUFxMg7E
-Ino76J91PAxqeIXt17Ej8XOlliK58cAe2cnmRseOrL29XNk578NFnedX3UbY
-ULo1ndFdTiy4GNfea09kQ9lIsZrdGgsKhwajzhpsSCSGfvFHLhaM77O5Pmlj
-RT9sbN4L8iaAYjKHGnctC5JwIDXeF0qE38LxHq43WZA3n/rqGddEsL4rQTEo
-xYIoJyWXU6oSwV7HGBaamdGI4vrAklQSCGHl+J3fnUCX8MsF80rJ8LB12npM
-nAlNPdIWKLJLAe3j9+7S7TMisc3DZZHCFKDzM8a8KGJEcUUnS4dnUoC/R1hQ
-dp0BmYiYBhjLpEKOyE6yVhk9YjZ4pErZnApU8smqQyb0aDnTQXRuOBXIZD6b
-YMnpkUXFm4KPW6nwzFCf1dHtOGLml3w7fyENuOeq9DjhGGrqn2H9/iwNKiY9
-3J126RCeO8fLdDoNzlHYnnjSSIdeyhWGDB2mgYfdopaEKB3qzzJXpFRPh64A
-P0l3Hlrkih0MUhpIhxijpFzdc9RISen5p3eTGTCSFPg3b48KZWHqZnX/ZUDA
-TAVNYxcVIhGeP/zM9xDM9Dmo6I2o0D9zBwpel4fw5IsyTv02JbrZqRPivvYQ
-hLykQpmXyVF16nbkDG0WeNL/jqbtIEe+u6dXrkplwUyFOcnDZHIUJFAy99Eo
-C1LG7+1bnSNHhk78lAfZWVA8a9TgEU2GeKtyKw9Es0H77VPJASVStDbAL5uu
-kwNeGr+UCUykyGdkJ2HZOwckSV98lf1Bgohyy5rXsnLA+sykeG0mCSroC3Qz
-JeZAb3CSmPD6EYx/VHagjH0EGJtB/EzVP0gjyVnj68sFNmLCdJPzP/hd+dgI
-8ysXEiPHIy34/kE0Z7B1E2sefE78lkz56C8Ev/QnveuSB02md+mKMg9gaupa
-Rw11PvTk0ijp4vahY4NeNtCwAC4ud6f0Be+DzyPprdjgAnjeuT2+oLoPaUuH
-L0qKC4D1vcwI9cc9GJe9K3K0UQBRtTEt2Tu7EM/ldFE7pxDGqV7VkzrtQKKf
-/Mm1hSIYdB372yazA8vtx2ltqIth79rrtVWSnf/8y/Q0eIrh0KTwydfSbRiZ
-EXIW0i6G5YCacw9/bUHZlHYtf24x/JyPdvqauQmDyzbWlBolEBYtpdbmtQlr
-QQ9YPluUgGPHftOG1iawD6udqbxZAnlOEYLZuxugsMunb51VAp/yFcQ8HTag
-kfSAf/NnCRhzfPa+iNYhxLtzmphWCmcO/StHedfBUZU2eruiFG5fZtnuP1iD
-9mM9UzQdpWAgId9f2r4GbTJMcUrfS0ERhzYYL6xBtCU+s1+pDMSkC8vJwlfB
-+49BY9xCGYQJZyv0qK9Cw2bo9Lv9Migtr/tDQ7MKbVQneU8yPobJiRs4qYcr
-sDMXXoNTfAwfy+0bi5t+QRIpxeqxlMcwJX2Zk0i1DH8pOhw0lcrBHf/2eg35
-IjgZu0RFpldANquN0fTED8Bafu8sraiA2qLQekzjD2DgKMx+RaiAkIftftft
-f0Dx+xfkLPMV0MLl7iP1/Ds0iU5/7zxfCb70thfFkohQP+t/ymykEog99SMf
-bOeB+JHhqylnNRTduRpDcmkeNCtZl3KlquH8gYi/D/c8HBuSKfymVg3BPSyD
-ZFPfQO53+HyARzVQpP5lWrP9BmzrGMaCZ9Ugw6Lxy8tzDprdaczJ7Z8ALykX
-BZfDV0h4FEu+XFoD+cgkxE/0KzhKVvWtttcATXTVkNzqDPT5kctufKiBX9Gz
-0gfhM1BaRE/c/VMDuPP6Kx7l01DxkbL+n0ktuN/81kNG+QXYQ9PslsjqgPOt
-yNwhzQSkFsFrCkw92NXwFZ74Mg4ueZ5XloPr4bi613pgwzgY7tDpDibXg5S6
-DlbCYhxmvLLvZuLrYUa4Tkr1yRj029H1HjvRAJNXJMb97Uf/6/qPXFFXAySu
-CBy+/jMMvj13pB8kN4Iq3pmLbWIYQudEAiuzGyFLXrsh++kwUByjj+kqaQRR
-1FmofGsYupmofi+3NsKw4AXDzY0h+M6GTZSfaQRYvTX5ZvcTDEs8kbl/Fgch
-d1uxqcKD4DJ6rpD+Aw4Y61fuDdEMQkfeMPXeGA5S60g5wiY/QpXziZbZORx0
-Rf3eF/X6CBHRK7212zhgpTZlN876ADJYX5DmbQLy+ayW0N138L0uYXTCswmo
-i+lVnNcHgOeNB0cFdTOwnne0UuobgJ99W1l8J5pB907fW+PsAdBc2JrJ4moG
-0YnDLVAdgIcHBHy4VDN4el22pU/ph0S+uFPnTZtBpHchivHSaxggxXVKFDYD
-Z80K2u7uA+P0S/Hy51pg5R32+gSmG744jSnhjFvhanZcgRDqBg+9+esXbVrh
-c950fxFvNxQf7Sbhr7eCRqKQmlVTFyzK93TgglvBns1V7VT5c/DntJr1LWgF
-iRXGvw75HRCd12IivNgKj0oDMx+8b4f+fJ1S6Ttt0GjEStrI0wTOdPq8GilP
-YbiF2DmZXAzuyUlTCyZ4EIhhO0+lUQwDjcT8b1Z4GD3Cc0qtFwHX2Z99Y454
-qJA35Hw9UAjVrGI8Vd548NkQKrwUmw9pb6drvmLxQHfx0xsp3hzo48AYFz/H
-w+zYaINwQwqUlGjksgkQQH2pB7uNewBxQ5KdP0UJcIC94MvWlgxmFqXvmiUJ
-kMPR0q/UmwiqepwR4goESE9YOvPj538/Yp/x0yNDAmhb2d6VuhUJTPH3/0Tf
-JkCpDF2JEEcERKx0/W4IJwBTJl2kkW4YbAptkg/FEOAfm4DyQMNtWLA0ubad
-TIB7r9jjxnP9oSs6ku9pCQHu6wUmXZ/yhQcWt7ITKwiwEy+nEHjJG94vKL24
-VkOAgPrQSXezG1Bi+Pyor4UAJ5lJUioXnWF0mn/bE0+ASPe9dvtIR9AJLrhB
-/ZwAfumlHMyK1iC0eEMvu5cAG3kWKeiOKRxvqUzifk2A/wEbenxk
- "]]},
- Annotation[#, "Charting`Private`Tag$237555#2"]& ], {}}, {}}, {{{}, {},
- TagBox[
- {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[1.6],
- Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJwtV2c0F477tUd2mclOdmYyP89jlT0TWSE7ZO+9V9krIkIkEfFpiiQRKak0
-jEpllBEi8/f9n/O/b+6Le1/dc895nivgfMHclYyEhKSQlITk/5jrxac1hjcD
-Gv5Xczw/3vmnLhPo/u7Ymq6GlxAXq/ZuAIFHhzCMxyQ09BM+OyssZxMuhunW
-Cl7g0nD9wVh+XO0qwXL/0fDBOgYNgVsTClufbhCeHIz6/iueXGO0aMTcbKyN
-IEIbxV3ZvoW/HyczFhs9IDRHhupbPl7FZjWWipmpbkLO3PBomfASZjio+dQV
-PiPc0LzO8eXrLD5ZXhvd6HpBKNKL1pNR/47zSV8vtDe/IoTXjjcsdX/BnDzh
-rJ2ON4RAomtyr+gEip8vCyBde0cIWxP83vDnA742WT2f5/GRsBQn3E+f/w4H
-dlqeVzJPEGjnJdLER99gEwnrCuffKQLz7Yh08ZzXOGUpISq/85VwfP3qQLrV
-MIoc1j2jyPOdYMV1d+WF8CDeoV2VeWL5kyBeGJVP7tOPmwt0R6PrZgnjm+rl
-2ux9yFB28NUBpl+E15/Pnhlj6kVhhbEfx7MXCO3W4fVTBj3oer531yR/iTB8
-ktLF6XE3Zja4+CbOLRMm/xhxZzt14d15hWw2oxWCye9487LTnfg9Vtzj5/1V
-QuvO6LurUg9RanE095P8X8Iag9lsDeE+xt06cOAdcZ3wuS5Ftiv+LtLLcWs+
-PPGPcLShzNZmqQM1vPgbgqY2CeMMHEGzSe14jIZv4UfSNqFu6JXLY5U7+E5A
-79GW/C5hRNpJ+CtDGy5adbeX/94jHJs5dvDX5m0M4RKV/DhGAiCV3vNntwWP
-hs5usXeRAsHGyDKAowVdfxW+jbhJBhdSSM0ikm7hnLYm//YVcui+4unzefMm
-vuEeL8ktoICm34MkDy81onvUjKFcDiUcv4O9cuo3kIe1vvBtDhUYNS/9bSNv
-QIdC4oHAImqgzdC4tjd5HX+l7twgq6KBMFZlKs5XdagmuxwT1UILVWt9RUoj
-tcizX2Jx7Ok+GMwtD345XYOeZkoFzBN08HackTSAqgYjft1QO7RNDzGDAXZf
-jl3DkmTHuVVeRrAIU4x/dK8K5Zo0RcKVmcG4YjVZjb4KTQ9V/6MYYQY3zxDH
-Wo+r+EN6VGXOmwVIAqNt/MsrMUyw7aPwvv3AFlhyMzesAo9NWX6+07AfKiKH
-VP1crmBunrJlgcEBMHsc/Pq3QzmmKod5dy8egC61tcWnkZdx+99Bt38ENgj6
-ESd7qrwU1a6dmtmdZYPnpmWXZvtK0HbN+OTJYnYIJpYODe4Uowr56vrwCQ74
-nlybf0q9GHt6VqOKNjhA9umljenkIvQh13YruckJRbb3NRfeFeKF+BLTN85c
-8Pd3ylfnnAJ0TVQZm3t7ELQsVr7bzeejFh3ffGc1N/yLbxZjM87HdEaPD4cD
-DsFB73XrcdE8HFmLtyzj5AXOCZHk/VdzUTZuIqtukRfG6vVfGfPkYkfgvWWl
-fj6gFFQZjxDNwS41svzVbn7wthV+mXc+G9XLncji5QSAae4CHzH7EoZ6u3MY
-1giAcRS5YvKfLDxCRhFXmikIxwOSadVlsrC3pC6Vi1QI/GHuRVFwJpJ+vF3+
-JlQI8s8balWyZWBjxOjFZY/DMEuxGVd4IR3HXpHoWHw7DO76Un0PhtPw2fmw
-x3MOwrBCN/7gXFUqNq58nu44cwRE4qS6Tu9PRc5LFy7Ojh2BAhvlQdu0FKQi
-2q0anREBt1V59saEZLwu1ShUby8Knnf3cpKpklGwNYam/IsodGRQHsi7lIRm
-/A7Tj9zEYGTq0nzCjUQsi30wlRokDjRttMDDkID7fkfAoQpJ0Hi9fHKwKR6v
-RxVzuEtIwePF8jYfs3isSDffGLsnBWn2v44xVMXh5fdjBUc/HgWTx3q/XhvG
-4cxbmrvM3tJg7KQoLvk3FjPo41rZ96ThYdYnoYBHMdh3Wi9Lp0AGzvbGS4yI
-xODDO6QkUZMysFldmx1cFI3Xbh3+pCkhC7Nszp++xkYhN8aZxj2Vhfwmlx86
-sRHY+3pYvmVHDniKLOSvUkfg8enX784ayQPHt72XQvnheLxVmunKFXlItWcy
-VWwLwwzK8LlOUAAHlY7l7JNh2ENL/r06VwHupaBK/UQoVvzhPnxgWgHy9uue
-6mANxSshJ8WKM47BEn2lR2xbCObnyxnfmDgG2aQqOU2nQjDu3algXXlFiJFL
-CJ69EowJHqq5hycUIYFSa2tcLwgDlwKvWKgogcJj3WvUe4EoVWLW9S5LCYyT
-bC+/bA/EeG9P2teTSqAmT2tNKRqIe4fYhcRTleGYrrzAN54AtLevEfL4pAIC
-tXiwe8If9xW0ClXIqkKeRp/OzFV/fB7OFq+XpgqvteMeL4j6o73Ou7A9RTUw
-VFA9vXrCD287yYR/LVWH620bd2RZ/PDDkmf0oxV1EH6zKrl89wKe+fBSgd6Y
-ACddC7OZfvmip6bVEjkFwJmFzJ0VDx98q0aV1aiCoG98bbSS3gcrhYU5XT0R
-WnLCXmzf9saavtMdViUIMYeqWK+SemNv7JfnP/8iEFdyPEPbvHCWYN/S0qEB
-9bwrYoXnvDBNNvmYzE8NmFzg7ONg88J0M0OWGQ5NKPb4WS4e5YmURL0AkghN
-ONcUOXPzjAcGTYt4vUYt+Ob5dJWN1QNHSECeJVALJOJmH1wfdkeHJb3qtFot
-oC29aCCh747Q+vEQL502XC9KY6A0dMNeySTFL2PaMMwsL0fJ5IatJk+nPtHr
-wKEwI4HdEVc8O7yTzqChA3Ytiva99q4omJ+RxnZDB5x92cd5YlzwVXE3dUfM
-CdC0//Sa7Iczuowz0IjK6YL84r9vekRndL7Q+jLAQxeMSUO+q6U7I/9Deb3l
-Cl14uf33Mpe0M+69pmdLp9eDo8LGtqcTnDDIOFdScE4PKg/6TdRYOyGT8/t2
-GkF9qDAGmlRpJxw5weUtaKMPD/drRWxNOGL/jy2exQF9eB1l7m2n7Yjx0x6v
-528ZwH3zZc09XkfcJWPY9pwxgMs3ZQlaq2fR/9bcyEFBQ5BuJXlGPHcWr1jV
-nWAtMoSLAdNeo0YO+I5BpcAlzghyQyDfycAOyQhlMT4OJqAYdq6qkdEOmUuF
-NJjKTOBJUOf3jhFb3Gl72fn1vQms5AiZU9jbYus58jNMYqaQVrrDLxxhg+6D
-HUFBNaYgZ+zJQTFqjWEat2THK80gXNckhbzaGlfixK/efWwGdqZJ+0r8rLGt
-/UT0zUkz+ND7gjuUyRpHY155jPOZg/xgi+WwhRWmhtEanasyB8HtO9QH1yz/
-69N09b96C9gg4bww22eJnIRa4aNDFnCnU1xJs8wSbY/2LsQsW8DxGXHdVC1L
-9NzXqhCscgoiLMhFhC+fQtUMw/a2oVMg4RTzZtfeAtnpVsf8/1mCpLNOf7CS
-BX7gPHrEne80PKEs3LQ6YIHmtroYpnMaKJS/d1gNmOPg8/VHv3NPA9WceB+X
-ujnalB1gE5a0gl1h9QgPBTMcHX261elqDdaFkcbfWM3QuPf+I5+L1kDRu7e/
-bc0Ua22aPx1vt4aSK29uGd41RdF5H2ZeyjMQ6GZ3WFfDFAPVX1+VrTsDiXtx
-lpNPjJEr0zb3wm8bSGtu4zx/0RhzHz5cecVuC+Od60djrY3x0dMnukZoCwMm
-g/zKS0aYX251uyj/P30yxaJH2AgV4vQGz6vaAfnS4FL3dQNslbF+wJVjD4qv
-ThsciDbAHy+e7524aw/+RHWBXnMDfKIm6545ZQ93lenv6+zp44udpMwzsg4g
-StX7o8xOH5vu+VzbN+oAhvub3dpE9NB6l3p1nNER9P5+krlIpoey9fnZN4Uc
-oVnWR4w4rov30geKUpQc/8u/k2mjQBcdJRkn7ZwdIddxV5eNWhelhcQ48joc
-YS2NlpHi3wlcbJiT4nFygjyRxcjIsRP4mYI5uCrECXhlDA4q3j2BdfosFLJZ
-TpDWFE0TEHYCvzOuLfkTnSBzcuLA8pYOfu3t6Y9gdAZq19G+EEYdNOYxLa3r
-dAYv4dvUbvZa+C3MnMNaxAWkaS1Oz2toIdte1LAkugDTv7eEhiNaaD0hHc54
-xgXwbH/g4JImLlSLFm9kuEBvW8JWZaommmw2Ed0XXYCLz9dot1MDMwJGzjXf
-d4WaBZEfz+s0MDF2lc581BXuH0o37bmkgZvBPjGkC66gNLhYq3NWA42lPt1N
-EXADPdpbOwFkGpibaqwhnu4G/mIDtfvMEM1uvcx/Y+MOk8y/Jy+rIvYacvZp
-BLtDomxvn8URxLIGt8qH2e6gvNDAFLUBmHJ+89jYU3fgexLWM2IB+G/+3oM6
-aQ9gm+rUzuEkYEXrd4VKak/wd6/+lvpWFY/Lnsha6PICq4F+VZY7qthCdUnX
-67MXiFaquY7mqSLL087l5XUvcJiz4aYyU0WZb9tkwtLngUHowTLNKxWUHhGc
-46o4DzQiKgN8Y8rImknPpR7jDTWGk7J095Xx6XDW/ZDL3rBgEdsvWq6MTHhA
-/GGHNwgkdwxtOCrjzIfa816L3sDwyddk6pcS9gUYap9y8gEdRyGeAAYlRJPx
-G7YnfeHhxpEt4z/H8fLMA0MzF19gX9yutHp/HFML1yvM433BIrvp+VzVcez2
-0zYKe+ALL5t2ChmVj2PF37oKE5kL0KwWJrbnq4hf1L9qsDP6gZNJQqHeugLe
-h4YkvV0/mB012A3/qoCrEzxTofT+8Fcpsb9vSAHl1dmUGw/6QwvVYuP9GgV8
-G/dqiv+4P+wPcXm0bqGAsTfPr5708wcNabmMKqI8Rk2vFyR984fNw1F0Z/Pk
-0Kpp80DbUADEuTnrfoyTQ8HZwjexnwMg0nVvxvuCHOoIJkSazQdAMaV/y3tD
-OVSefxRPThsI04eCZjtp5FDF/6dltXYghG2a3LydJIu6orLZAw8DYXxCPeVI
-lgwW1pv/7GoJAq64vH0UUTLY3xcfFNIdBAPn/NrXz8vgSaugZtmRIHh31n6C
-31AGRxNzJe6tBAF/ZY9UCIMM8hzVFKE/HgxiG+JD7KLSyHcyIKG7MxhurMPx
-wbNSKMSRlOkyEgJMK7zz8dpSeNg4xvbltxAIJyHltRWTwlx25271tRB4VRHB
-ELoiiU8cyQ2lOENBpQ/TjNMl8dTRTF0Th1Dwmx+U1nsggarRXYSK+VBoiatJ
-WlQUx362Ttlz+8LhqiTXCXkBcRQOrlTU5w4H9HzHk0Mnjj6fJagUJcPBIvNm
-aMGUGE5YMZIfMg6HNl+Gez2ZYlh7JNFFIC8c6q7TRJT/EEUSDkUDFu4IUChR
-fqLdJIKP/05+ipeJBIv654Ful0VwS7FIhFQzErz79f6Wp4qgJ/sNyWSLSPDY
-b7x20lkEZ4qHHctCIoHDPaQ0j1MEhYLOOpM8igT9pOucX9KOYGTVLcub+lFw
-X2hYvjpUGElkMhzTPKOB16aKN8JdGE2XG+5qRkZDo8/1Z85WwmheqJJJejEa
-/NOFV1yPC2NW9sCVrJZo6PCT1ZXdOIyqZoHnx9ajQYb+Z/PzqMPY2zkDJ1Jj
-gHvh3DGPXCGsijx5KbQhFpJ/SJofTRTCn5umRl0PYsG2VLGYLFgIk+R3Qxle
-xkLAOpPpW2shVOIPZmz/EwuTkBgtICCEkkllpYd440BQ64akzh1B1Kgajtzn
-EQfSWpcea04LIMfxM/WZO3Hg0WPz/PI7AbyWO2XdQx0PltR6JKT9Aki4cKRs
-hyUeJu7ptKw3CeClqyNvwo/EQ/Snnc3MMAHcml9lyDWJB/mnDWvALID8Cavu
-KtXxwKL1O/WMHj92cWYPhuglANsff7NT6vzIT1MtRXIqAdTPjHHZyvJjktgA
-R5ZDArzZyvPI4uLHZD6DlMbABOCrLSjZGOVD+0c3n9JUJIDKyOg0NQ8feh8S
-yFJbSQB2c9/4skc8yL25G5hamQjU/95q9DTw4HYpTcz1hkQ49V54cLuQB3/N
-brX3tyVCrR/NfI0vD15MGrzF+jwRgo5oMffx8+BymkXn06VESIsFI420Q5i1
-yC1yUTMJrs/TMaSc40Ypuq9tj34mgQIZPOky48b3P+jYhf4kwSNy5s/7/lsb
-UfE1lRnbSWBY9nZ98BA3muWcFnVkSQZXPqPfVO8P4s8U2X3CqskgSnqeVsv4
-IEoZXfrGlp0Mz0m90r1OcqFBiMylPKUUMBxQYedW5EL/WuohAe0UkNtitft0
-mAsTpXyz2kxSwLn61PMMMi6s0F3MnHBLgbXvVHzXOjnx8dvFFPPCFLB2gJ0G
-ZU58eqZEsfVPCjyVux1XrMKBNGLtQ8bNqRAVG7l3SIIDx18/qJN6kPrf3h49
-0MLNgR9aajYY+1JhNZLy8e42O5IfkKT6MJEKrk/I/NW62JFHMqY7gzENJCVp
-OCT12DGzfyjJxTcNXIIKT4S6sOHPm5EVi9Lp4Hw59+2b02z40peGa1o1HQoT
-WHtU9djQgtxt4ePJdEiaME2TOsqGvn7E+uGz6dAle8e1eIMVf0ndtnybnQ6m
-OVvL4dmsKFbG62S2lA68v1nuiPUewM7wZ9372jKAlE0+dcJoPzJbSK+HQBa8
-jL+4FqG1H1334vhEDbJgTffbNq/yfpSLydD9dDoL8ohV96IP78drTjzlJ32z
-wOSbuFDhFguSLDZrK13Jgri7w9nCjSxYWsMcGr6VBfOX0jWuMLHg/OYCIeLe
-RfDrzLxB84EJ67R9vbxVs8G7u1zl6DMmlJ99llWjmw1N52TXndqYMOaP5u6E
-ZTY8KW/sXLnIhA5vPw7Z+GWDpv8y9WMtJtwdIz/oW5sNrcVPumduMyLZAc4r
-pDQ50JccvStVwoD67H95AgNzwEyUYPEhnQ5d8pzUnhjlwrrCe1O5SDrkr3cZ
-kD2VC/tEdugKvenwaFjmqWqbXPBUCS0NNaFDVce/dinuuXCYeUC0hY0O+Qb5
-1Wzic2HIvv/Pz2v78KDjK0HZ9lxY+G3QpdJHi6oNV/eV8eSB2I7I6AsRGmSU
-FuO0Xc4Dl1pLL6ODNBh0m0BfspEHbDqL2mP0NMg01if4bi8PMqeL62j/UCNX
-0rsOS8Z8GL3DqPTxITUejTYNc5bIB6HivTyJU9SoLMVn2OqaD5KXB6at06lw
-3ccqX/xTPgzbckqfoKfE+mfHcsL6CyBtRPjaflJKLO0Msf34qgCeG9no/Vij
-wOZ1PmX1sQK4qhTCem2SAkOGLSWofhZA9Hg0SUAbBc6ab87UUBTCVYdQbkc7
-Clz4ktXBhoXAw8g6Z9lGjsq3BqmeEgvh1XCDakwQGQ4PEn4a3ygCv70QpZzz
-ZBjBPKTpf7sIHJ9EWFx3JsMhueq0grtFYPWF5+20KRlqXZ8YGX9WBNr81hXl
-UmSY/334bOS3IgiMHWTa/kmK3rc5jb4eKobn8Z8snBxJ8fbJBdKzOcXA2Rp4
-n+osCRqVkGsyR5TAL0aSALLRbajdWGnli78MEco+zuR1/4Bc45jO46ByaPgV
-K0s38xf6P0gmnPWugPia7eohvVUg8X30dd34KlDisZtZAn+ARGrOjcyuCsKu
-cnkg0xJY5Uh48aZWw3AETzdD0i8gTAc7wJ1rcID+fbBd4izkTZoaN7+pgZ9y
-H7UaS36A6cxnT//9dcAuUxBFLzINy2dKpBI0r8OU3S+pjO0vIPH4en5RQD3Y
-CGYyfrw3CdyHvOjEehrAoDgleVPoM1z7oUxiSN4Im343UjgqxsCzOln7u8tN
-cGhWKeqpegu0yQb1Au1NMByvm5i2NgK1T3g97CiaQVy6neay6SvIqKNUZ1Ft
-geZXv9Yq+AZBiNfjWchcCxQbPr3M2NAHf4q4zQoab8Ozv0Unjzb0gOHLr9wK
-3q0gldau/EWtC6gY5yqzBNsgW8BvuL/+HpzODDLinW8DDj3lNPZXbXA78aYb
-ScMd2DDVdjakawLnTo/VfNd2sLvzYCovpBos9CcpxxQ64Po/rpCyu3kwfdg2
-u2OjAy4yrDbGeOUBlzZz7JHtDrjg2boUdSgP5rxtrxTtdYDj4+mogbhc+JNe
-6xpKRYSvHT6R9fo58O1BzWFVViLYjzX/HXqWCVF1UmdeSBNBqWC+1tAsAZQc
-XBIZ3YkwbeE5dutBPHjx/CYkeRHB0cCrTPu/uzmVWSq66UOEd2WR1GwbseAh
-Z5LyI4gI5ZMEr63//pBHQ/1e3QlEuG3APjPFGwClL8dHYyuIwMDfvUyx6QeX
-iGt+G1VEGKC5Z8ndeAGc9DdU/GuJ8OvUhGAp93ngkGm2PneTCIqXTmyvUzqD
-u2ncfb37//mlx7Qok88Cy3h6b88jIojnWSbV79lA52WnXfVuIpQOv0gu+mcG
-Br4+/+SeE4HlWJ9017I+qLlfftD0ggj1hPcJXisawGiV2ig6TIRBl5hblkuy
-kNEs039thAgk/4/Mr3msfO+I8D9sI26P
- "]]},
- Annotation[#, "Charting`Private`Tag$230210#1"]& ]}, {}}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{
- FormBox[
- TagBox[
- "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
+ TemplateBox[{
+ "ParametricPlot", "precw",
+ "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
+RowBox[{FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
+RowBox[{\\\"1.`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\\\", \
+\\\"2\\\"]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\
+\"0.2950910232179487`\\\", \\\" \\\", \\\"\[Gamma]\\\"}], \\\"-\\\", RowBox[{\
+\\\"0.07674909089922159`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\\\", \
+\\\"3\\\"]}], \\\"-\\\", RowBox[{\\\"0.017576083976367313`\\\", \\\" \\\", \
+SuperscriptBox[\\\"\[Gamma]\\\", \\\"5\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.0069902635549525935`\\\", \\\" \\\", \
+SuperscriptBox[\\\"\[Gamma]\\\", \\\"7\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.003957033741436551`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\
+\\\", \\\"9\\\"]}]}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \
+\\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"1.1695099999999998`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\\\
+\", \\\"2\\\"]}]}], \\\"]\\\"}], RowBox[{\\\"15\\\", \\\"/\\\", \
+\\\"8\\\"}]]], \\\",\\\", RowBox[{RowBox[{\\\"0.`\\\", \\\"\[VeryThinSpace]\\\
+\"}], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"0.29442726651162515`\\\", \\\" \\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"1.1695099999999998`\\\", \\\" \\\", RowBox[{\\\"Power\\\", \
+\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\
+\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \
+\\\"[\\\", RowBox[{\\\"Plus\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], \\\"]\\\"}], \
+RowBox[{\\\"17\\\", \\\"/\\\", \\\"8\\\"}]]]}], \\\"+\\\", \
+FractionBox[\\\"1.007010684856479`\\\", SuperscriptBox[RowBox[{RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"7\\\", \\\"\[RightSkeleton]\\\"}], \\\"[\\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\
+\\\"}], RowBox[{\\\"1\\\", \\\"/\\\", \\\"8\\\"}]]]}], \
+RowBox[{RowBox[{\\\"-\\\", FractionBox[RowBox[{\\\"4.055395711271589`\\\", \\\
+\" \\\", \\\"\[Gamma]\\\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \
+\\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}], \\\" \\\", \
+RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\")\\\"}], \\\" \\\", RowBox[{\\\
+\"(\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\
+\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], \\\"]\\\"}], RowBox[{\\\"31\\\", \\\"/\\\", \
+\\\"8\\\"}]]]}], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\
+\"1\\\", \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\
+\")\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\
+\"}], RowBox[{\\\"(\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}], RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\
+\[RightSkeleton]\\\"}]}]}], \
+SuperscriptBox[RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"7\\\", \\\"\
+\[RightSkeleton]\\\"}], \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}], RowBox[{\\\"15\\\", \\\"/\
+\\\", \\\"8\\\"}]]], \\\"-\\\", FractionBox[RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"1\\\", \\\"\[RightSkeleton]\\\"}], SuperscriptBox[RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \
+RowBox[{\\\"15\\\", \\\"/\\\", \\\"8\\\"}]]]}]]}]}], \\\"}\\\"}]\\)) is less \
+than WorkingPrecision (\\!\\(\\*RowBox[{\\\"20.`\\\"}]\\)).\"", 2, 148, 131,
+ 31937344891897383576, "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{{3.88718611635929*^9, 3.887186135777404*^9}, {
+ 3.887186197166917*^9, 3.887186208279335*^9}, {3.887186530190947*^9,
+ 3.887186542059218*^9}, {3.8871866239697943`*^9, 3.887186644812742*^9}},
+ CellLabel->
+ "During evaluation of \
+In[148]:=",ExpressionUUID->"62fc2290-ec12-4106-8db3-83accba90389"],
+
+Cell[BoxData[
+ TemplateBox[{
+ "ParametricPlot", "precw",
+ "\"The precision of the argument function (\\!\\(\\*RowBox[{\\\"{\\\", \
+RowBox[{RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
+FractionBox[RowBox[{\\\"4.055395711271589`\\\", \\\" \\\", \\\"\[Gamma]\\\", \
+\\\" \\\", RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\", RowBox[{\\\"1.`\\\
+\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \
+\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\
+\", RowBox[{\\\"1.1695099999999998`\\\", \\\" \\\", SuperscriptBox[\\\"\
+\[Gamma]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
+RowBox[{RowBox[{\\\"0.2950910232179487`\\\", \\\" \\\", \\\"\[Gamma]\\\"}], \
+\\\"-\\\", RowBox[{\\\"0.07674909089922159`\\\", \\\" \\\", SuperscriptBox[\\\
+\"\[Gamma]\\\", \\\"3\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.017576083976367313`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\
+\\\", \\\"5\\\"]}], \\\"-\\\", RowBox[{\\\"0.0069902635549525935`\\\", \\\" \
+\\\", SuperscriptBox[\\\"\[Gamma]\\\", \\\"7\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.003957033741436551`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\
+\\\", \\\"9\\\"]}]}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \
+\\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], RowBox[{\\\"31\\\", \
+\\\"/\\\", \\\"8\\\"}]]]}], \\\"+\\\", FractionBox[RowBox[{RowBox[{\\\"(\\\", \
+RowBox[{\\\"1\\\", \\\"-\\\", RowBox[{\\\"1.`\\\", \\\" \\\", SuperscriptBox[\
+\\\"\[Gamma]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \\\" \\\", RowBox[{\\\"(\\\", \
+RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}], \\\")\
+\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \\\"[\\\", RowBox[{RowBox[{\
+\\\"-\\\", \\\"1\\\"}], \\\"+\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
+\\\"1\\\", \\\"\[RightSkeleton]\\\"}]}], \\\"]\\\"}], RowBox[{\\\"15\\\", \
+\\\"/\\\", \\\"8\\\"}]]], \\\"-\\\", \
+FractionBox[RowBox[{\\\"1.849387959639662`\\\", \\\" \\\", \\\"\[Gamma]\\\", \
+\\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"0.2950910232179487`\\\", \\\
+\" \\\", \\\"\[Gamma]\\\"}], \\\"-\\\", RowBox[{\\\"0.07674909089922159`\\\", \
+\\\" \\\", SuperscriptBox[\\\"\[Gamma]\\\", \\\"3\\\"]}], \\\"-\\\", \
+RowBox[{RowBox[{\\\"\[LeftSkeleton]\\\", \\\"21\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\" \\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"1\
+\\\", \\\"\[RightSkeleton]\\\"}]}], \\\"-\\\", RowBox[{RowBox[{\\\"\
+\[LeftSkeleton]\\\", \\\"22\\\", \\\"\[RightSkeleton]\\\"}], \\\" \\\", \
+SuperscriptBox[\\\"\[Gamma]\\\", \\\"7\\\"]}], \\\"-\\\", \
+RowBox[{\\\"0.003957033741436551`\\\", \\\" \\\", SuperscriptBox[\\\"\[Gamma]\
+\\\", \\\"9\\\"]}]}], \\\")\\\"}]}], SuperscriptBox[RowBox[{\\\"RealAbs\\\", \
+\\\"[\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"Times\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
+\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"]\\\"}], RowBox[{\\\"15\\\", \
+\\\"/\\\", \\\"8\\\"}]]]}], \\\")\\\"}], \\\"-\\\", \\\"0\\\"}], \\\",\\\", \
+RowBox[{RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"1\\\"}], \\\"+\\\", \
+RowBox[{\\\"1.1695099999999998`\\\", \\\" \\\", RowBox[{\\\"\[LeftSkeleton]\\\
+\", \\\"1\\\", \\\"\[RightSkeleton]\\\"}]}]}], \\\")\\\"}], \\\"-\\\", \
+\\\"0\\\"}], \\\",\\\", RowBox[{RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"-\\\
+\", RowBox[{\\\"1.1695099999999998`\\\", \\\" \\\", SuperscriptBox[\\\"\
+\[Gamma]\\\", \\\"2\\\"]}]}], \\\")\\\"}], \\\"-\\\", \\\"0\\\"}]}], \
+\\\"}\\\"}]\\)) is less than WorkingPrecision \
+(\\!\\(\\*RowBox[{\\\"20.`\\\"}]\\)).\"", 2, 148, 132, 31937344891897383576,
+ "Local"},
+ "MessageTemplate"]], "Message", "MSG",
+ CellChangeTimes->{{3.88718611635929*^9, 3.887186135777404*^9}, {
+ 3.887186197166917*^9, 3.887186208279335*^9}, {3.887186530190947*^9,
+ 3.887186542059218*^9}, {3.8871866239697943`*^9, 3.8871866457787333`*^9}},
+ CellLabel->
+ "During evaluation of \
+In[148]:=",ExpressionUUID->"776a18de-180c-4668-970e-1610ceae4ab5"],
+
+Cell[BoxData[
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]],
+ LineBox[CompressedData["
+1:eJw113c8l9/7B3CbeL8zM5JNyV4ZGdcxC8nehMieoYQkJCshK2RFklHIB1lJ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+ "]],
+ LineBox[CompressedData["
+1:eJwVlmc8FXwfh41DmYm4rcKRzCIjIn7/Dkpk3giVlU10IllH5qFkl5mdTeVk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+ "]]}, Annotation[#, "Charting`Private`Tag$2643905#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]],
+ LineBox[CompressedData["
+1:eJw113c4F973AHAjK96S7J2VpBChwrnZO1tGoowiPvbOLpRkVfaMjBRl75Gs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+ "]],
+ LineBox[CompressedData["
+1:eJwVkGc4FX4Dhm1SUqGMVCKhhDKSeH5ISMMIGclBMhJCUnYph1BGJDkiMju2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+ "]]}, Annotation[#, "Charting`Private`Tag$2643905#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]],
+ LineBox[CompressedData["
+1:eJw11mc4F+7XAHB7f1NkZa+sZFSUdW6rkpFVRCEjVPYmOyuZUfYWIT/Ze+9S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+ "]],
+ LineBox[CompressedData["
+1:eJwVxXc8FXoDB2CblF3kRKE0qHtFCPH9GSHK7IasrChl1ItIRoODIisJOXFC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+ "]]},
+ Annotation[#, "Charting`Private`Tag$2643905#3"]& ], {}}}, {}}, {
+ DisplayFunction -> Identity, PlotRangePadding -> {{0, 0}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio -> 1, Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"h\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*\
StyleBox[\\\" \
\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"|\\\",FontSlant->\\\"\
Italic\\\"]\\)\\!\\(\\*StyleBox[\\\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\
\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*SuperscriptBox[\
StyleBox[\\\"|\\\",FontSlant->\\\"Italic\\\"], RowBox[{RowBox[{\\\"-\\\", \
\\\"\[Beta]\\\"}], \\\" \\\", \\\"\[Delta]\\\"}]]\\)\"", HoldForm],
- TraditionalForm],
+ TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\[Chi] | \\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\
+\\!\\(\\*SuperscriptBox[\\(|\\), \\(\[Gamma]\\)]\\)\"", HoldForm],
+ TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :> Identity,
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> {
+ GrayLevel[0], FontSize -> 14},
+ Method -> {
+ "DefaultGraphicsInteraction" -> {
+ "Version" -> 1.2, "TrackMousePosition" -> {True, False},
+ "Effects" -> {
+ "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
+ "Droplines" -> {
+ "freeformCursorMode" -> True,
+ "placement" -> {"x" -> "All", "y" -> "None"}}}},
+ "ScalingFunctions" -> None},
+ PlotRange -> {{0, 3.3}, {0., 3.690456156465704}}, PlotRangeClipping ->
+ True, PlotRangePadding -> {Automatic,
+ Scaled[0.02]}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
FormBox[
- TagBox[
- "\"\[Chi] | \\!\\(\\*StyleBox[\\\"t\\\",FontSlant->\\\"Italic\\\"]\\)\\!\
-\\(\\*SuperscriptBox[\\(|\\), \\(\[Gamma]\\)]\\)\"", HoldForm],
- TraditionalForm]},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- LabelStyle->{
- GrayLevel[0], FontSize -> 14},
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{0, 3.3}, {0., 3.690456156465704}},
- PlotRangeClipping->True,
- PlotRangePadding->{{0, 0}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TemplateBox[{
+ "2", "6",
+ "\"Caselle \
+\\!\\(\\*StyleBox[\\\"et\\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\
+\" \\\",FontSlant->\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\"al\\\",FontSlant->\
+\\\"Italic\\\"]\\)\\!\\(\\*StyleBox[\\\".\\\",FontSlant->\\\"Italic\\\"]\\)\"\
+"}, "LineLegend", DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["\"n\"", {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"},
+ Background -> Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.368417, 0.506779, 0.709798]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.880722, 0.611041, 0.142051]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ PointSize[0.5],
+ EdgeForm[None],
+ Opacity[1.],
+ AbsoluteThickness[1.6],
+ FaceForm[
+ Opacity[0.3]],
+ RGBColor[0.560181, 0.691569, 0.194885]], {}}},
+ AspectRatio -> Full, ImageSize -> {20, 10},
+ PlotRangePadding -> None, ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[-0.023999999999999994`] ->
+ Baseline)], #3}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontSize -> 14, FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"]}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"EdgeForm", "[", "None", "]"}], ",",
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",",
+ RowBox[{"FaceForm", "[",
+ RowBox[{"Opacity", "[", "0.3`", "]"}], "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"]}], "]"}]}], "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"], ",",
+ RowBox[{"FontSize", "\[Rule]", "14"}]}], "}"}]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "\"n\""}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{
3.875957140679967*^9, {3.875957171901413*^9, 3.875957177389202*^9}, {
3.875957286074856*^9, 3.8759572915772743`*^9}, {3.875957370668831*^9,
- 3.875957390170678*^9}, 3.8762092922172947`*^9},
- CellLabel->"Out[95]=",ExpressionUUID->"a7be33ba-7aa8-4b0b-9929-84068abe4ebd"]
+ 3.875957390170678*^9}, 3.8762092922172947`*^9, {3.8871754958604937`*^9,
+ 3.887175500271595*^9}, {3.8871861172995453`*^9, 3.8871861368256903`*^9}, {
+ 3.8871861982272577`*^9, 3.887186209328771*^9}, {3.887186531197132*^9,
+ 3.887186543092368*^9}, {3.887186624995718*^9, 3.887186645867601*^9}},
+ CellLabel->
+ "Out[148]=",ExpressionUUID->"a8fc096e-6fad-42c0-aa7a-790bd2df6a0a"]
+}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell[BoxData[{
- RowBox[{
- RowBox[{"Export", "[",
- RowBox[{"\"\</tmp/pMag.pdf\>\"", ",", "pMag"}], "]"}],
- ";"}], "\[IndentingNewLine]",
- RowBox[{"Export", "[",
- RowBox[{"\"\</tmp/pSus.pdf\>\"", ",", "pSus"}], "]"}]}], "Input",
- CellChangeTimes->{{3.875957304698913*^9, 3.87595732350677*^9}},
- CellLabel->
- "In[213]:=",ExpressionUUID->"fb19745f-d068-48af-9c29-c7123646b8ef"],
-
-Cell[BoxData["\<\"/tmp/pSus.pdf\"\>"], "Output",
- CellChangeTimes->{3.8759574026282253`*^9, 3.87621093736329*^9},
- CellLabel->
- "Out[214]=",ExpressionUUID->"e0694b56-77c1-47e5-9928-2750b564de6e"]
-}, Open ]],
-
-Cell[BoxData[""], "Input",
- CellChangeTimes->{{3.875957138191024*^9,
- 3.8759571381925697`*^9}},ExpressionUUID->"5ff59419-6b49-4b92-9161-\
-5b0dab56051b"],
+Cell["Plotting as functions of control variables", "Section",
+ CellChangeTimes->{{3.887175666126995*^9, 3.887175672719225*^9},
+ 3.8871757098402243`*^9},ExpressionUUID->"7bcdac80-37e1-4f66-bc64-\
+b0d2db5bf4c3"],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"p2", "=",
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"Evaluate", "@",
- RowBox[{"{", "\[IndentingNewLine]",
- RowBox[{
- RowBox[{"{",
+ RowBox[{"Plot", "[",
+ RowBox[{
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDut", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"-",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "1"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDut", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
RowBox[{
RowBox[{
- RowBox[{"(",
- RowBox[{"DufDut", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}], "}"}], ",", "\[IndentingNewLine]",
- RowBox[{"{",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "2"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
- SuperscriptBox[
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDut", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
RowBox[{
- RowBox[{"uh", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}],
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
RowBox[{
- RowBox[{"-", "8"}], "/", "15"}]]}], ",",
- RowBox[{"-",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "3"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDut", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
RowBox[{
RowBox[{
- RowBox[{"(",
- RowBox[{"DufDut", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], ")"}], "[", "2",
- "]"}], "[",
- RowBox[{"1", ",",
- RowBox[{"\[Gamma]", " ",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"",
- "]"}]}]}], "]"}]}]}], "}"}]}], "\[IndentingNewLine]", "}"}]}],
- ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "4"}]]}], "]"}]}], "]"}]}]}], "\[IndentingNewLine]",
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{"-", "2"}], ",", "2"}], "}"}], ",",
+ RowBox[{"PlotRange", "->", "All"}], ",",
+ RowBox[{"Exclusions", "->", "None"}], ",",
+ RowBox[{"AxesLabel", "->",
RowBox[{"{",
- RowBox[{"\[Gamma]", ",", "0", ",", "0.99"}], "}"}], ",",
- "\[IndentingNewLine]",
- RowBox[{"AspectRatio", "->", "1"}]}], "\[IndentingNewLine]",
- "]"}]}]], "Input",
+ RowBox[{
+ "t", ",", "\"\<\!\(\*StyleBox[\"c\",FontSlant->\"Italic\"]\)\>\""}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-1\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-2\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-3\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-4\)]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "h"}]}], "]"}]}]}], "]"}]], "Input",
CellChangeTimes->{{3.871624380395876*^9, 3.871624486365077*^9}, {
3.871628883904001*^9, 3.871628909432775*^9}, {3.871629457267346*^9,
3.871629525012162*^9}, {3.8716296135256433`*^9, 3.871629703591056*^9}, {
@@ -6200,456 +9569,780 @@ Cell[BoxData[
3.872232659147134*^9, 3.872232720226219*^9}, {3.872232925175202*^9,
3.872232941062345*^9}, {3.87282774234025*^9, 3.872827744082013*^9}, {
3.8759514937750607`*^9, 3.875951563008548*^9}, {3.875951848422546*^9,
- 3.875951860758119*^9}, {3.875951890774691*^9, 3.875952107994501*^9}, {
- 3.8759521565880737`*^9, 3.8759521795243063`*^9}, {3.875952669870229*^9,
- 3.875952670693328*^9}, {3.875952819881544*^9, 3.87595285055249*^9}, {
- 3.875952938059046*^9, 3.87595295966661*^9}},
- CellLabel->"In[15]:=",ExpressionUUID->"fa46f97d-9534-4d3f-8e90-a8598a4bd324"],
+ 3.875951850621904*^9}, {3.887186743041842*^9, 3.887186790098441*^9}, {
+ 3.887186823363668*^9, 3.887186826291638*^9}, {3.887186890645186*^9,
+ 3.8871869906863422`*^9}, {3.887187366630084*^9, 3.887187367965156*^9}, {
+ 3.8871874509191723`*^9, 3.887187457679159*^9}, {3.8871876036586847`*^9,
+ 3.887187764733572*^9}, {3.887188007450289*^9, 3.887188008193816*^9}},
+ CellLabel->
+ "In[192]:=",ExpressionUUID->"502b8651-e019-4a6c-8e02-02b77d829c3e"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJwV13k41F8XAHD7kiV7krUoIiEk1B1ZUlFDiyWVyp49ISkSklSyz/ArW9YS
-bUQ6V2U3Q6WQvVKSGDN24v2+f83zec6997n33HPP9xmls362rhxsbGwMdja2
-//9+4j4mkWgYhbO73uc13aHD9Lv8jWFRJzFp5fjORsIXc1l7O84dxSIW5Mm3
-hHdbx9q88SbjRJ/MthrCGn3jR2y3WWG8tKu9gvBcPufHBc79uENCcy6fMI93
-llDKUwusFRpmlkoYCX/0Wvhlhp2vb6yMIiwZ3LJOPNQUk7S2HvYhnLR/T2OW
-5V7MEE8TPEb42M2HId2WJrjc+fzkLsK+5SOHb/qQsOLPJ3MbCC8OHzhYeBLh
-IWEvlaXbdNh1QeSmmPAeHPk9O7SL8JNt9vrfvxvjRF6nqXLCn2zzGh93G+HE
-mry7NwhP+iYcDvlliCP7I4+cIJzIEVJrI2iIGT+XjTUIf9vkorfObBcm/1Wy
-Wkyggw1fXMmuBAPsn7cYWU+YdPoVX/a3nRjbJfXeJqyr+60wwXwnFpmdPnGE
-sMjbLSj+mT6O5N7OIUU48ARf2El1faxYYk3/fIsOBasGvxdK9Yj1TuEkwuab
-j3tf0tXDjEP+3VaES570X5B8r4uH8u9JcRHO5JMrUnLUxSTDj2FV8UQ+pwVz
-eGd3YDaTvdxehGe3SQeYpu/ApBjmC2nCD92vdDrv3oFFAqcT3t+kw42fd5XL
-03QweU6vTJzw1I6zHHr7dTD2y5x/GUeHvH51nz2r2jiSfN/TjrDaisO7+Cpt
-zCZyhH3mBh1ulbkPDgQRxnS4S3hNocpBbl1trLh2y8MthCVG2e/RZrSwlmVg
-xetYOnAFCnulRxIu3Y0GYujAfVlE32q/FsYX/2Ivwkd1Xl/hk9DCIl6TntPR
-dFDnJ9ftPrUdk94d1lm9TofQfSSzmBVN3FHwzSaScH2WqSt7riYeqtCirETR
-Qe/i0vTo1DZc/sfnAfMaHd62b+Djvr8NK4aknfIgvDXPyvel1TY8Pzxu3htJ
-Bylubl+7Cg3sUZt1uyqCqLefnKkC7ho41E13YiNhTu+V1n55Dax4Ojgk/iod
-yNtPlF9KUceRp8K5bK7Qgb0yvEfSVh0PhVznKw+nAz3PsC1IVB2L8NboCRL2
-NP15UTN1K+aztxR8HUaHB6Z9fs/L1DCbe9fjhRA6NJmS97IHqWHF6SUvHcK6
-op6lTYZqODvX8pN7MPEeuLnXxLep4tGJzQVNQXTIGOqLck9XxZG/FUWnL9DB
-Ijk9LPacKia/EVeVJXyRkshnv7oFS/fWOp4NoIP4QnEji74FK6r/CI70p8PH
-Y10meQ+2YD7XYZTpRwfjWYF+SbMtGNP39TT40CHK8oPG4YzNWDXZXGvWkw5v
-PpHPxvttxiKh918teNABqo0fpO7bjBWPPJ1acCfyqXX5LPuiCiZVCvoxXOkQ
-oOVFOtZJ2ODL858udNC3v9h2+okKJj9wLuk5RwejteSbUe4q2EC98eGLM3Q4
-z50sn2imgud/ajy670yHZU1nZbRRBfu/dDsXfZoOT/8dz/YdVMYinwNHzE8S
-53sUH01xVsbSisMox56op08e1jv3KmO2us+dfnZ0uGxjcvCYsjIO9RmXNTpO
-h+CeLHWusU3YPu5lY+MROojtlbXuDNuEsZxX4qtDRH5bOe+td96EO8olG32s
-6VB9Y8uDBvNN2OCH6zN5KzoEbaF+tRbbhD14zMuC99MhX7+yk/ZkIw6dPaO/
-akrUp5VTvVDGRhx3O3ETZS8dasWsZfMiN+Kq5zLN203oYPd099YG241YuuDR
-niN7iPvut3WpXlTCZJPh/kADOqhI2D8KGFHCbO1sGUx9oj+Vyun5dyjhqkk3
-IT89OhyycGAaFyrhpg+31E/p0OEzxxHWuJ0S7sjnJUlq0KGhxmJgwZyI63/b
-mraVDtuV9toY6Srh7IqJPRJqxHstVBqyE1XC3Y8mvvNuJtY/Y3qln6aIRxkj
-W2kKdPBXljsSVKuI/asLPHbK0+HEZxxo8FgRZ/cd/Hhflg5duf4nzG8r4m5m
-4VbX9UR+SE5hTocVMf4Uv9AuRofNQx8VLUmKOOO2dfYmUTqc2lamfEJbEdsz
-aBeD1tLBctY/Z1pcEbN1RpQJCdJhWIiZ3fhCAYd+EDsjz00H1yOL684NyGMt
-JTPFV7M06BVxLk97L4+L9ukODU7TwDoUCfCWyuPIQ3yfOVk0OOT40oEaKo+b
-ghZPmU7SIKiBPy9QSh6Xl1xZzf5Fg/CG2gEdJzlsqf2w40sXDbL+JmXSzOWw
-v9MDkQ+faVBb2XE6Y7scnh8xSmj6RIPcl6rHazjlsLO1osGTdhq0CiSLq5TJ
-4qJSCb8TjTSYrTJ04hCQxdLtsbD9JQ0EFqMTX85twKGW3Ut8z2kQeOAWW+KP
-DTiD4ZA2WEHsz3W4svzNBmzZWf0r+jEN6pqWp7KCNmDF7lK+8nwaZH67bvz2
-pwzOVqGXxCXRoH48zSXtswzm+2jCbpBIA576bu2b72Uwaa1d7Y/bNHBJLiI3
-58pgMvOoh/5NGlxR3cde4iyDRa7sTa+OoMHWY17F+cPrcaLyq0YLbxosnjvu
-afRxPQ7dbfuszZMGP5s3v/7zdj3m+3JdkOxOg0a2ztX0/PU42xTzHz5Lg12R
-lyLWea7H3c2qezTtadAme4V6aVYaM95VcQWaEvlwOaOsoySNSQ6mn8SkaTDf
-fik/QFwaa51Qeb1GkgamHsMdDdzSuKlx6OmqKA0+pSzurxhbh9kudbUNCdDg
-OTtvSeSLdbhcObkxYrUNpLpieHoPrcOMsb+R2j/bQFGXtt5p7zpcpHI8Z/Fb
-G9h3W9yf1FuHLb8868WDbaC1jdvMWm4dHv3ok2PW0waZDkIqA+NSuOlKZ6xa
-WxsIZYbraN+VwlWjNuc9K9rAWSVcqf66FM5emLnJVdYGEvWhox6hUjhj8Eh7
-VkkbvIs+5DV4RgrPt0V/eJ/XBj/7cw9E60lhPqPOFmZqGzzVOulwd1ASY18u
-q8ZLbfDy8udo+m5JLG2xN9IetUEtuaTzra4kLlLYqPzVqA2E7fjT6tQl8ehQ
-kYuDQRvsSY/aMLCeiN9JfUPWboMKhh7bvVkJXMXvO7ZxUxtsCSIfpVVI4ERU
-2HiMh4i7s+3etF0CW1a19i62tEJ6CavDZIsEZrRExGo3toL67tx8DwUJrLWF
-56fru1bIypftoK8lxks8amisaQWGz0jOEkMcJ+a7KPs/aoWXh7VnW56L40g3
-Fc6jt1sBZmK0RkzEcairDcPHuhWur3UYdTIUx3FXcDj3/lao5OXx6dMRx93T
-XMFUs1a4VmH4kLlJHLOdtX722qgVOov/sw3jIdZ//CL4m1orpLZprf/TJobJ
-v7xEn3O3gu7VJ+TlU2LYHlr1Qmpa4Iiq4b+j9mLY8r+Qi29etgB7ng3rmY0Y
-bspjmHE+bQHX2eakaDMxXFXekh5T1AJu0+ej/LaK4XnnWg2f1BboKr8af25O
-FA85K4k1+7aAZtXb6uupoth+8UJXjQIxP3++u+yuKJYOC6imy7TAo4GQiYGb
-opgsY+8+KNkCop8Th62vimK+e46bFgVa4Ctt5wY3d1Hc5PnAVHK+GVIlhR9e
-MiRc06L0vb0ZLp513b7yXQQ3HWmzHrnSDGX2f79WD4jgRF2T7GehzbDxo37J
-5R4RHPpcdTjiQjNkfv6Wxd8ugqUPLOiIeTbD+9UenePVIjhun/1O+aPNENB8
-0OLxPRHsXzDa3KnWDLPidyw0TUUwW2DWqfefmiCNwdxRuUcEjz59HFlObwKn
-n+bqpoYi2GPhzyy1uQk8i9tVXbSJOKvnuxc0gXTGtflmBRGsVc34OlvSBNtU
-PW+bLq7FGazzMvhaE1TFL5/svLAWR3r9apPXbIJ9+Ezq6WBhXDRsI2Me1QjJ
-Saci5X2FcZP6PX778Ea4csaz7purMI6rO2vtGdwINE11jcvHhPH82HxXrFcj
-XO7bPj2mS8x/kSNXZtsI+gOP/+JpIfxeTfJe2cZGmM85FSIXKoS96/SPRtY1
-wCHtuCHvBEEsm11ZXbFYD8GW6y7QYgSxx789l9un62E5xDxGO0IQi7DOiI5P
-1MN4zjkZrkBB7LLU/1bpez2cn5h6+NFOEJN1vBwiWuvhlMGqqZiyIA6amTzA
-lVUPzGKLFC4QwM5eqtPGxvXQZ5zauWZlDQ7ab6BVeOk9xH4z/UrN5ceRBnq+
-Fsy3sEbCMVmQzIdTHp7dPr6nDj7soT8/qM2LyWNf9pMtACgmtDIbCR5c1CF3
-/GxjDUz4mB8QF+PGJLE6JQHnKnil9s5eXZsLl7cctOw1eQGcuSFzbw5y4vKF
-ND7WXAVw7PhSKXyNA/uzT69J4imDXxmTuwefsOPR3dvPiYwXwu6v5feP/GHD
-cWJ1tCDLXChLdfW9YciGI/OSTH4BFfookd5h7KsQWUcq8plKBLZoN5u7T/6B
-YsCOkBPoGoRJf/i36LUMbK71Ow7mHYW++cGBeyJLkH1yRKGiNxj9Ex0/JPFh
-AfzlUcfIo1iU2f9dqKJ1AUSOTBys7olFSnloxrphAcoDBHR9eG6gEM9jRnE1
-C8AwSzD3PX0DebWcyFh5uADZ197Y9q+NQ1pflrSYYcT4lzJkX6+bqEpkXeWU
-MjHe3PjNcZ4EJPGDPG9waR5ILbG9Kd6JKEBn4NjMhXkgc9W5X7yaiM6EP3pT
-4TsPGYNnq80TE1HGYYfyrS7zoJrg+uzFs0TUpy/CJ3d4HrrT789/XEhEFQ0N
-apwq8+DsILjAcf0eConvNPrYMQfSHvz3DG8mofGXKZp3W+eAfOrpcQlKEto3
-OCNv1TAH3V0H/vQXJaF+3ZHZ+po5wPaTUaSmJJRkEx7yqmAO2LZyhpryJCP+
-d7dPPAifAxEz8hApIhn1GE8/Oqc6B/kbqDZyrimozfnijrBNcxCUXKLPFZiC
-NhozSxPl50B1hCrRfzUFbagNDqiVmAMXZFXrkpGCKmg0Myn2OciIzfnQ2pKC
-LnDm1b7vmYX5/U/iFjRS0YXZx+Fit2ZhqFEqretnKnr2QTV5c+wsvL+r935l
-KhWNRZgmGl6bBY8zZavr/qWiVc7fxmdDZsFbIy9HUTwNSfSNHCs/NwuhQtkF
-8XvSkCTHgt4+41kYN1868zYpDTkIBqic/DsDbEWCRxu00tHJZaVsjtEZkDaW
-KlgyTEeL2w9MFn6bgdBt8uWK5umIY1WBn9k1A1Wf+xm7HNLRZqkquei3M/Do
-V5hFcWQ6uk7/6/wgfQYy6uOPhLelo4DtN8dMkmagSeXZy8ef09FotKDJj4QZ
-0Fq4M0IfSEc3Rr7ZqkbNwOjsvdIhRjr6T8Z3+bH3DPjvvPHPRCIDORnfWioz
-mYF8pfCRZbsMFDG5VeaQ8QwERcfnqTtnoAlvjpVx/RlYLhvfe8AjA53rcxff
-qjED1BPH1e1CM9CJOR/3HKkZSNhLa3mSnoFCGNMW0X+mQZqPHn/yUwbaJKLp
-vy51Goxf+ee92ENBvTrYbU3iNOhSX7wIM6Mgw8zjsv/ip0FmW+BP7QMUpGf+
-5+1w5DTIm5QUBR+joLN31JiF3oQFmj47nKegI6e1w7eYTYObcxFXXAoFZZl7
-akuhafAqCM7xo1BQhB37Ay7DaQh0fhm4/z4F5Y/l5Qxtn4axFv2qT4UU5Dj0
-yyB1wzREfTee21tNQf9sk8kMJgsch0pv3u6jIAHJdQ5f/7IA08JlKEMUxPyr
-Jf5+lAXj0nxzaT8oyL/bl5o2wIIEfmuK5zgFKYtw/N7ZwgKy+sdHXksUlKO2
-OVChngV1S2X1fKuE588X82AWGBW46lM4qMjL/oFi5wsWTO6LU7nHT0VTTB+V
-8zksKHBcde2XoqKeV57i5CwWiNaseAjLUNHjFd5HuuksuChk2aEtR0UBEp69
-ywks0LXk+3h4ExW9ZpzafDOUBR3tT+mjmlS04azoyfMXWNBW4634WJuKBFp6
-Da19WfDXQuv7OV0qQu8mf691YUHZ5YNvi3ZR0ZtPCfz3DrPgc5aDRKIpFZ36
-vW5f/AEWqOkpePeZUxGPxVv16+YsWOve0bTBkorufcOjF4xYkHlLO/2CFRX1
-svmr2GxhAZXe8ezGUWL+d7bEfRtZ4OFKO+V9nIpuh5rd3y3Hgi8eBzaY2VOR
-9Zxavqo4C4J0VNrbTlBRdcjh/YsrTEge3nnY9CwVZXrZ1/9dYELGjjXP8Dkq
-KivIHB6aZsLZawZ62q5UVLJFdKF+jAlaxeqZf9ypSIP3HKtyhAmhsbpRep7E
-/lw0E4qHmKDhrnQn0IuKFAt90299YQLbNqMNDd5U1JHCzh/+gQnl758/6POh
-ogmRA+u825hgX1d6+KcvFZ1N1uM7+JYJJ7dVGnzyJ/LJN/N7Vy0TDk4oXnwZ
-QEWxv3LdVKuYIPvi6feEQCrqi2HbzlXGhOP1XKfEg6jos0jrpakiJhRMbfR5
-R3jd/VcnB/KY0PRL+YXbRSoaFHb42nKfCVHmr3f+I9wirD/5ksIE7ueZs7HB
-VHRfvD8zN4UJQ4xgFmcIFa06fR28fZcJ7A0cWkGEt0+/qg6NZ8LympnHXYTf
-lfJqnIthwtoiLj/NUCryVDi8wzqSCSYpv4NCCVOebejQv8wElw6nuheE7VLn
-2RWDmXDNV/r4T8Ijr/yb+AKYIBHfpbvmEhXFDwhvmjrPhA/Wx08rETaKOyna
-48aElXGbLnXCHpy/kvAZJjiXxN1XI5x7Tq+w0IkJj9pfvZQhfO76R+s7dkzg
-ev5QaZVYH3NaxgbZMkGvUmj4C2FFKwWyozUTcs2ez+YQXrw5XIIsmVBJd3Jx
-Jhxdvi5N2ZQJKR9b1cUIh4YeEOXfw4TNXxoOVRLnrTnNIfvXgAlmbhLthwkr
-FTe+6NhB5GNdeFkvkT9Zp40DzzSZ4BvXMOFIOMiMmpKmxoT/HGvv0Yh8czFf
-docqMyFwpzplB2HnqtViRwUmOH7o5blN3FdW2RKvsQyx//7Mvp4LVDRbps2U
-lWTCJqldsjKE13G7efavYUK05L6hIKIePopuR9bcTFAWqrG6TNRLtN/J+Ner
-U+CizcMI9CPm24ZepUxPgc/riz/0iHrLW6++mXdyCrKi9hmyE/Vo8rSdFPR7
-ClZ0DnbUEvVaKx7SZjVAxP1sG9Z4UFH2id3GVd1TsCZGWD3TjYruBIbLbvo0
-BQdSfXpkifdA2z6qPtc4BYn/UmSnzxDv5e9cUEbFFLy9Zx/BdKSif5v57VZL
-pyAyiHlByIGKCjcn5rsWTIFm55H69XZUJCwSEqGVOUX00/VxPEeo6MlY90aI
-noKo408/aB2gIgmz1kNKEVNw1OAa48s+Kvo9KD0cdWkKenOSI3yJ/vDMR1vf
-zHcKFj45zgeQiPNs2ZEIdlPQ4ZJPadGjIpnr/X2ytlPwrbkyYlmHikjK5fGX
-rKbAQX34t4IWFckbbePVNpmCc7GhR422EvdD5g/I2DoFGRelmt8T/c5tnPuC
-5T8GDBywclcm+ucf0YiozDkGXJtsrfVboaDvf7xH/04xIGwfd92jRQq6Ifbn
-eeJPBqR0LnUtMSloC/fO3fR2BjzVz06c+EZBH9gb/VRzGSB2DAWrYgo6JB1T
-+DGLAXF308UHaygocgP33vB0BhQc6nO6WUlBnvuWsmgJDFhj+GmpqoyCzJ9e
-/eoRwoCqQNOi6CwKUtyVx4i0YsCy4PP89osUJETxElbaxwCPiDCet/4U9PVv
-fAw2YUD8BaOdRcT3S0nc78o/fQZMBN8TJp+hIJf+3ig/JQZ8TeH4JGRFQTN/
-z1S6jU9CScfjYlMFChob35Fwb3gSTil95g1aT0Eh/EpsNV8mwSxgxj5DnIKm
-rx/A/HWTMCtt0v+al4KafmddTUudBL6+dWUXJzOQWs2NL+f3TIKIx8mgotcZ
-qDOycHD5zgT8zCoY3HgoAz2p+ccheH0CHHVXwwwsMtCYm+/x9SETIBEzaUba
-k4GK+EtiNU9PgH9Ji/9mzQy0cudW797tExCZI3XVWigDvTtxuUW0/S8EfXRU
-5G9OR3PZ/sLGQn+h6JiNtZV+Oop5Olltd/0PPH86E/p8NBVJvZMOqAz5Az/q
-Ea/mQCpaU56wRdL7DxyV2muU9SkV/XA8eafl6B9wcbB9cPxNKtLbHS8mt/kP
-dK7hyTdNTkVhby+7n24ag6KVJ9zsRqloC99UrJXAGCjm3I2VjUpBVQKrTifj
-R6HKRkUtaDIJSTTsS8eXRqCjohCpwB0UHib8u5gxDB71G5qXH8WgtP2ymt8b
-+0DLrndSdkMoUlTSu+1wthPYAvXz6Lbb0VCd27XD7g1AHkq5rF8XAl8u3WgX
-mksHe8UYrlatOODUuVK1lFiP3gqoJFLlk0GgRaola6YeHb50lOP8rmSir7Rc
-u+nYgNR0e23R0WQQPLo0sk+lEf2Wlw1n3UyGYfvXXW5vmtBTJ4fzN2eSYePN
-KYv81VZ09Me5dHdaCiQVK5UJn/mAxKt6H7VGpEH6j1/Sei+7Eb1Sb15pggJa
-MeKNO1jdiBys/MuAnwofAm0dvLV6kH7kirOtMhVU3/Sz3y7tQYmTO78lOFJh
-W4VMGiX/K7JwqUlWaKRCdI2j6KHcPmR/zfJiZXYmvCi3uzLtPoQ0KixG7xz7
-D1Jyh+4lxQ+hztSst3/9/wNN9syQ44+HkMj+B/GHEv6DbzodIjasIeRRGtMu
-+e4/kE6x0tpwbRgpL558UK11HxorUOXR/G8oezDvh73gAyiel/qgKTiCHpXC
-ypmz2eA6fL6yfOcIyo4V2mIXkA3mFr+/+Z4bQVXHbEWsI7PBZc3757k1I8hb
-U0Xa6H42aCwP317y/YmyeMz+U/iaDTa8I4JS334hZ8tbl3htcyDqE+56szqG
-tFxujO3amwtu4pb+ZN0/yDlb4wLJJhcO9P+RM/T8gyLj2g/uc86F58Cyken8
-g8hUi4FjV3OBTeh03PaycWTf16MQXJ0LhafrPduCJpCioWQL6OTBuCO9WEF9
-CvmTAnOdNuVD23KFmOCBKVS019DJRTsfdgrW1up6TiGDkNmJ8ygfGE87vfYU
-TaHRnsJ7YSfy4ZiBnKq1GhPxad48n5qcDwpeigKGBiwUmnns9BvOh6DTPOrv
-fIKFIqO5ed6KPoTfpnLdn66yUPlRfut6hYfACg6vLmhgoVEVncctRg9h6Mez
-SSXHacR43mDVceEhBDpmmD27N4MUAw6VvPv+EKz/fZ23rZ5BBjs+3oKphxDG
-nTtq930GYb0T7dWrDyElp24mQ38WlXNMnH+yoQBStrHNaX6bRR6RJ2ISjxRA
-uMKbG8mH55FBjZCv5rsCyCuSSo+OmEdD+kPe8h8KwOaMe/zqk3lk2e9wQ2iw
-ACJFj9TeF1tA9lST5dHFAjjrZFvbPbCAGK76p1J0CoHs9G69WdoSInEFUaty
-CuGAkoqGbtcSGurqZelWFEIfl8T0+vXLaKi/uPkJLoTfCy2Fww+WkaLDYkv2
-YCHU7OAV1qz+R/zv7THxkysCOTfSgzTOFdTBnZw1oFEET5R1InQOraBy93pt
-K+Mi2J8efUzt1wryD7UeVTpRBHN+8x7pEmwkrYOkGy8zisDAfnPQwz1spMSy
-+UqpoiJQy7ORCfVkI3X8+9UdVFkEGv89zI6pI8YnnXq39UsRLHgf+ysYzk4q
-986UDhcvBssMH2v+x+ykDjPJkpaNxRB444AD3yA7iS2ZrUtKpxgMxtqj9Cw4
-SIwtkp8LycVgL6NxNnwjJ0nx6B7x0tvFELdjs2uNEycp8WOFzkhWMYhxlLU6
-ZnCS/NeE3JJ9VAyjVRKhc+JcJPIHjWdRLcUQ/GSPW5w8N8lZd8xWnbcEblxL
-Dn/oyk1irHV4aS1VAhPym7OqyrhJ5bbfB71VSiBBKylJZR8Pic2BYp5jWgIx
-ZkW8Fim8JJEfRjeHIkrgrwHpmd4EL0mrN8r6150S2GwvkCx7kI9UXp59aOy/
-EuBiPHsQI8xPchbtqv5RUwK3X333877IT/I3iljpbSmB51HqDySG+EmRepJa
-7T0l8OzMUGdh3RqSP6WIr3iuBEh3+YKUdgmQtK7LRd/lKQX/ngrNyy8ESENB
-rmkBkqUggX32mrwRJDnP8W9U3VEKh2H5fsRBIdLQuOr5ZZNS4PA0nTYbFCJF
-yqeMtZJL4bPA3Mz6MGFS5GhsbNrpUgjcX38nXXYtiZQbp+zkWwr/A+GgJz8=
-
- "]]},
- Annotation[#, "Charting`Private`Tag$6193#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJwV1nk8VN8bB/BBStax7wzZkyxl516lslSIUFKoZClZKkSRKKksRVREsif0
-DSnLc8o2M8xYWiglUbQpS0KWfuf317zer89znnvOvefeOUo+x3cd5qRQKEsc
-FMr/f/O8h+a8Us4idGs2n57MhkX1XTWhDe4oWLn4Tyt2Qsk2CJF0QrH9aT8a
-sY/e/vpA9ZI9qqoPvVCFvauq+mrknW2oao9jSw52YOqLq/xz1qjqg0FRArbL
-FN/Neys3I10ZTW0/7Jv8ZQyjC1aoKszSdQv28qKfxEsnEnnNxqvIY/+g/xwc
-K7JElB3UzF9X2WCbr2sj/9cc5TX+edCA/eiJQWhIkhmi6Dr5x2Mrpt4eeGxn
-ioY0zBhbsatet6QH6JkgGquXxYWd6REncsrIGFUNGofXX2GD/u++ogg3I0RC
-ausx7ESLubwtVw1R3jHKExlsN/FfFWmvNiLaxSqn55fZYFid5/hk3UZE3daZ
-cgg7WzJ+a9b1Dcjx4rkwDuwE7WbPo9wbUFUjZSkriQ0nj1Vxo3MGiPovWnst
-9m/OF257VxkgytJazrpLbCj9QOU0yNBHjiu3niWwWTYJHP5a+ih25cq7zxLZ
-8Ph853GzNj1EvVAaYIkt9lj/HZefHpooDR6ouciGlRLS3XpCegjp35lWx3bx
-UTbeVq+L3M+GP0q/wIaH39aefRWoiybirWUXE9hQ62C1Loqmi/oHHNbux/Zv
-9io8rbkeufe6bxGJZ8P5zdMhacU6yCt/zuHQeTb8ufLz19W1OoiqLLviYRwb
-5vpoUpw169DQN0mfuXNsaLf0ep60eR0i9WwDTLFVr+3eyX6tjSKe8cmHx7Jh
-zZVrZ6OCtFEqJ5yuiGHDdXUx7qnStSh1bZyxwFk2pB62LTDdsRbpDnje3HCG
-DW8OMOW+TWshkvGsyDWaDR1S7d6P7LQQPew1Pek0GyJo4dTQv5oo678jg9mR
-bNjAPZo2VK6JUg025ZdGsKHO2anRVFoTOYZVGT46xQazSvvhkV4NlOpjwlN1
-kg0znsIuj5M1EO33zKXiE2ywr6hyDebXQO5N1LwLoWyomeIRVWGro7n2iI1B
-IWwoyPdQuZOmjupENc44BuP1paklXJNXR6leV1S5g9iQwjj9YPSzGqI0H7jY
-d5QN6zMLS6or1VC/1uOcgkA27JXQGzmzTQ05rrD/puOP91PMZRHDC6qo7s8K
-sRWH2FB08XrugosqSgxu/pfsw4ZV6WTksooqosnY1Yl6s+Hr2tjniXQVZFMn
-eZ13PxtGxW2d5m6roCon2cfR+3B/5QKnk8EqiHLQ6/6XvXi9KnNVQXI4Rzt5
-KtzY8F375be+6TUotaY7dJUrGz4/XTbR6FyDeIK3PNzrwga19Xen98WsQRpj
-gw9+OrKhx13/rfUvZdQdcfpZpy0bwi1/xguzlPHzUB77vQ0//+i0hCv3lZFf
-avsXia1sOBXGFg4PwFbZEW+ziQ3ycrs53tkpo5IPe2juJH6/Dp1c9XYt7vfj
-aba3JRuODVelJf9SQhNls6Y+pmyY5S3WM+9VQv2tMgf2GLOBbyFGJqRGCeVx
-KfnZGbKh+ELFtNcZJUR3v7xORp8Nypn1hVMiSihxS0JxsCYbrtJ8dMPmaUjD
-y03MSJ0N78pWaR4YoiGbH6zjsyp4vHvD8LFKGorwYMweprGhddfqGtldNNSv
-kRP8VwLvt0sZMuVmNCRVrRCeKob3e/34qeuqNJRIHTxFE8Hz95f+2/BbEQVH
-5h/REWDDR//7xh4OiqjqSc9GTi42DKe58J1WV0Spsk/X+VHw/bRNmVWnKCKe
-uZ1a9CUWfPvs+W/NIwUUrHrC6NQcCyhvzMu2KiogEsl3Jo2zICO+wrZbQB4F
-j6pZZL5mgeuugaqSX3JI6pvv6+4XLBhdUyzzpkcOlfgn7uTuYcEzg25Ps0w5
-NGE/ObS/gwV/bc91v1HFzg+seQks6N10QmMrrxxC1x4f/dzAgg0f3+5f/imL
-hnzUBCefsKD6XxrPjieyqLvVVHz+EQtOmWQnEk6yqI709ewsZsHNzaLsUSNZ
-FKw5lFxdwAIWU3tFt4Iscqx0rc28y4IZ7juvD47LoDwp5/Gdt3G/qPuXw67K
-oKyQJrVzySyo/Teqt7dfGtG/Zmv8CWPBf9el3UqeS6OJA6Unk4NZcHoh1FPz
-gTQy3qjSq3SMBX5Cl2dRnDSiqgojE18WqPRZ39fTlUaJN/7e0XFnQeiq1eUx
-16XQl+AvX9eZsWBS/7tZcawUCr6e/zfciAVXbxRxzB6TQsad0YaNBixwKYz6
-zW8rhWjeTEMTbdzvulw4F4cUqjPovjIrx4Kuq5VS98MlEcWqYl3KUifQDnV5
-BR6RxN9fciFvvhPG9tJe2LlJorwrhWTFTCfke8UVHzaSRDwBxqb1452wUazz
-AmVeAtW9XZbNfd8JedGnqdHnJJAjaWKe2tAJKd7imVxhEijrz+DhvXWd0Lvl
-yvOCQxJIN8dHlVbdCQrUkj59GwlUtb3t2J37nWDk7vz9JBXXm9Xs9b3VCTAb
-Nr23UBwFX3ngpRreCfOFj6I9ssQRRb3sZWloJ8gyPwaEXMb5UY9lzaBO2HFh
-46V3IeJIV00wSv5wJ4yG/I4vJcSRzbcQ555dnRBwsHT056AYot5Mdw5a1wk+
-yWhfjxb2xZhzVz50gFFEcou+ohgqicxcqfi2A7gtl+2KRMVQ9xu37vKXHWCf
-r/v7+aIoCrbdbvGU0QFXXz/OY3WJIq8jbFb2ow7o2zeCOCJFUeKMlOv5Cx1w
-UK76z/EgbGfDuI7YDrhst+bG+EFRZJPeqSQU1QHrBGsiJBxwvySP9sTjHSBE
-5XgioyaK3AX1KVvdO6D4laY8+7UIqlMw7P6m0QH+jx4uKrFEkDGl7s535Q4A
-7Tip880iqF/gsPAXuQ4Ysh9LPFolgrrHy369oHaASsaXpf4kEUTn1R4Ln2PC
-kTjG7LKVCKIx889NtzFBpVflcVudMJqryKju8mLCoeKqUamHwqgulnHv6V4m
-zJxIZ4WVCiP3VSK0fBcmPl8wojffEkZZMzeYvjZMQMvMJJtoYZQae1e/fT0T
-tpqt3TJgJYyQQdz90SUGKE0PXn3aS0XGrDXujzIZcOdoUgp3JxVJcelpb0xj
-wOWJsRC3VipKJFmfHiUxgOeLabFQHRWlVg0IlpxhAN+JsNjuHDze7GZ64EEG
-aH8vqbgUgPOjdgPeOgzIecnMuMpDRXR7H0XF53S43VMypMhJRbqk94vKp3SY
-yxLZHTIrhFK/vLG3eEQHO9dd0gvvhdDEvddZOwvo8E6VP73oPs4LIlfbX6CD
-FPM8xc5WCA0FRkZV2NLBxlwzS/+qINIwyAg1YbdDl9HiXdY5QdT95PRr/7Z2
-2HBsmhZ2ShC1XJo+kdnUDuX5HCbvDwgilaq44G8V7VB4nndmrYEg2m53iHk8
-pR3mefMMCgcEkLZt0fYFh3ZwiBCpuWUggLKI0kfru9qAXXpaPENTAMXW19zZ
-0N4G+bv+VWcqCiCqyTonI2gDP53zMTV8AkhX9bKMYWUbPE8W+O70iR813LXO
-l05pg7GgiYdcmfzoy5Gy3KidbXBs4lzQIgc/+rFzSr6loxVEeHqvCv/gRVTN
-t5+0n7WAvfCvid2feFG/TmGS45MW0DCY3Jv7jhf5yTdyhz1sgeSm+1pWLF5E
-HlK4WH23BdyGQ/hRBS/6onuLWyuuBT77br5RGMqLYtklRz5uaoHL4tcKxpZW
-o/SjVnsympshbEjMeY3SasTfn79U/vw5kPd+2pwNW4WqlP2zUlMRRJvsLnok
-shJ1g4UHVbARGnqqtw4NrEBDi/mOtzSeQID0j89XSrlQnseb4JXyNWDBN1v3
-JZ8TZbl8nrFLewijj5ekwm9xoKo/MzbOAuUQLiW97F1MQcbr7K/UMgvh1ZdL
-zwzv/oN+tT08+nl5sPq27JFdn5aAFIV1J25kwgo/VbH590vgOCRmcPpkJngp
-732U17cEVerjxpkumdATOdUyxVyC1EVbewnRTIihNsnnP1wCLzv7BxppN+Dw
-kYM/tWNwP39O39y0DPjq1hwwLrME3cc09g7cuw7yPX93/HRZBPKWxL0KgVSI
-56atstm5CF5jBrJHh1LgTFZUfv62RRha+rb5YWEK5Kitj95rugiUJt3kQd0U
-uDkkkf9ScRFizxpPt9gmQ1+YzM/JbwuAnP4ZooQrkLzk4Mw8twAU3d4DR9Qu
-QX6gfZZl1ALEfnp+1nIqEVaYWt17dGIB8iYuN9s3JcIQX82qvCM4z9Kv4XFL
-BP6mldPndiwATaFgmu/yRVAOlMz0l8bev/HixqUE2E2Tsnv+8C+QB6Tv/lt9
-HnpyNrcF3v8LeVqNMv7v4yC25e2YeCH2Z+ahlQ/jQPrqNqmjWX+BorLK4517
-HFCnhaRpMTjPf3xwpuwcCL3SnS7c/heG/BP397vHwufiu8NrvswDWjs/daE2
-CuoNn2UPfZwHSqlFrUVAFBjn9n7KGcAmty/vVYiC3+OTsjJd8xA7UjVNv3ga
-gs9bi0jXzgPpHOsQciASLpXandONx/0uW/h9UwoHgUe/ExENj7c//ldnOhRO
-DibIzsng8SmBJz8+DoU2bxcJXXGc+3t9/x4dChsPhW+6uxr7OVcuD08orNWP
-O5w4NQdk7wcOL+UQePOwdp9/yxxQuOvf/2UHwd64P7ahfjjXU/lm7+sHs8Tt
-vhqfOYg1XdmYwO0Hi9O2DfP7cH2DCTpaeAR2jpUlxjlhnzOYsxrzhb88nQpZ
-prjeJPTqyrDDcFwwt6OXH/dr0/0zXOYDjoHXEuMezgKF90BIqKEHWIZvVtt9
-fxZieUSf6F/fC8JdLAmNQpyXR9bHTe4BkfY34+wsnBd0f+j+zx16IhjetFjs
-sz2qCjauMJAT3dOzE9fPq38kGp1A9GyjQ6kNdqdRwIC+E+zbcFvi3CZc7+bn
-xFnmCB8CCqL0DHG+9ZLhsIkDUJ6YpmXIY6drhGRo2UPty0DPgB9/gMLvkLQv
-dzNEuXRJbx3F/uhhVV+/CbQjkZjyELbq+SvqA1YQmM1qfvsCW/7hBbU1JFzz
-15zZWY9dECDiUWkCJ0RT0rVrsH+qtHZLGQPTOOkYbyU2+UzTPdEQPJraGW35
-2LRcy8xIA0j3lJTZlISdJ9Hpb7sW6mM+nFCKx3ZsmdM+owEqITtXcJzFnrtj
-QmlUBXW58iYUgj10yYDlRYMNNRapm/Zge1nvnxzmgYLvw/IOGth1T9pPVkkS
-408UXG4qY2fNHj0SL0uUPW2rHJHD1rWUvrFZkXD08HkVIYzdPx3z3moN4emz
-3FHwdwYoVIFDHdxaxKhvj+LEb+yW/7SnstcShzmVMsx+YWed5adrriMy3hLD
-vSPYxlseW4voEuldrXOcLGy7UNjZpU84VLXZObRjl4sM1ocYEB78e5/efobN
-IzzFI7SBqKy2nthQiy2y2Xib6UYiMjS/5lwVtlhtkil9I2GRnHuDXYZ9g0tU
-xMmQ0MpOKPXLxR4d4A11NiK4c06+rbn5/35+dxY7jYhXUqKqXOnYU12Vx62M
-ifvHD3PfScQ2t7spKmtCeE4o3foeh23Kf3NrrAkxb3h7q8kZbF0eX98hE6Jd
-8+WnlyHYi9wNwWmmRDh/9ivlo9j6u4I9h02JKiW9d8G+2NcCbcx0zIiAKsm5
-Ji9suogH30kzgkF9qSHgge0bAexaM+Ld/W/HPHZja1tcvTBtRpxZ+NBW6oCd
-HvzOYK05IZVkbDBnix2R2trnaU6cnYr4b6s19u9E77DL5kTlB1XrDEts/keM
-VdXY/C1jI8bYJ15K3ugzJ3Zb92frG2BLKfoq/jEnJL3HfM6t+//1dLsKhCyI
-we2nTLrVsVWoQeoqFkQPhZemqPz/9ertLzGwILQT1CWC5LDvHK/XsLQgeCed
-ZRslsBuo+aWbLYiNAWLr+YWxac91tK0tiL8qPx09+LCLbp59SFgQUwd9Y8u4
-sS3FKk0NLYihcM7G+X+/gfJWfJCubkEEwbaVtn+xTb9oeopZENTieo+s39hz
-pg/nFsyJtpKRhrGf2CXK17MHzYnf9ls0jb5im0v9sm0wJ/RUffMujPw/n/vE
-kWFOCL/uUHr9HnuRK6PVz5zgFlgsV+3/f793ijeMzAn5hGirk73Y9MSiExzm
-xDvuF4Mtndi1x+x82syIlQcT4sXasX2d13ldMCOoluJjj+qx42gmabOmxG3m
-oBmtFltmZGh/mSnxlm/wxpUqbDHHLaHupsRX2f88DxdiO+anBBWZEKLmd+k9
-udh75bL3bDUhXB79NbK8hZ3n91/yR2NiulZJWTIFO9p+x8BqY8J8ZHX2+UvY
-KgoLv28YETJFaVIT57ErTLk9FY0IMqNGkhGBHe8ZL6dsSHin0JWifLB5026F
-/zIg1ArVCsb2Yb+rTFd2MyACz6Squrhht5zMVXmqT1DUm9as2/7//pLb9EP1
-iJWDHBwfNmLrblZS3b2OsHewPG6vi218Nkbz7VoivuB3/2MtbHfrlPHdWoRe
-8sqcVMX/X3/wRqOeOqH7DB+HV2MnP9WpP00j/iT0SVVw/X/9GxdmAuWJ4sld
-O2WWp4GyvfSIVLc0IbeayJ2awi6fDXfzFiEc94R35r/Dzrsg8dbqs2WP48cG
-wT5syn5HBbO+JgVK0d3TPdjddG2fi3+aig9EbN3Vhm3jwYj15weOwa4JShX2
-1qM2ljI0WGFwJ/xoGXZ17cJAsDK425v86ivA5v0QGt+tAqIrhCorbmL3ni38
-UaYJ4QzGIY/z2HZlvuOf9eCBOP+Wh67YuU2C0oPm8DXvsXO+I7aI/o+xYEvQ
-tpWyuW6HrSVWG7mChPzq6g8nLLGLfCw9C6ygyDj6qaHaNMT2TM0e59oCHdPO
-udUzUxDrndOlaLkduiUdW+/9wjZSPSamtwOut/9qv/Z1CihW5jm31XYCjeeV
-V/B7nPNu8qrkd4SgDpcezdYpQGarK3oEd8GJ+JU6Gem4PsdwiHB0BWqw8ttz
-ydi3y7YrD7rCdFTnnqBEPD5pUNjmmBtwVMf3bI2eAvLGVo19Ke7gIJZ1beYg
-zgV0BbOH9wJnHBqwNcC+afpGrfUAWPPmXmb0TAKqlbEdMTsMzcmnv0p2TgJt
-MzUqM/UwBDkiqm/bJOQp3Td/8fkw3L1W/oSjHvvUYvdQmi+I5EwfMSyYxPfX
-/4fDxBEYdgtipZ/C46Wcdnu0BUBuy8tQZdlJSH2d85QnMBj6tSLE/cVxfso1
-rCYnGMohKrRSaBIcO3dH3usOhgbJpj1mKyaBrD4pv9koBCJ5R7scxicgWFI0
-K3lVKHSXmE4EwAT+vx34aF0dBvfHK0p8D06Ao6fOj3yLcDhS/nKlhucEkNZF
-D8gz4TASp8Hx1XUCEv/M6ms04nzfSLu/3QT0V9HWvLSIgMKefVd89SZgaEy1
-K3tTJCi6O7Kyln9BxGk2ZWBPFPT8MF6VtPEXxF77vMq9KQaGl159v5I3Di47
-D/J+KI+HugujzkLp41A31nWv+WU8VHZZPUi9OI737/Za+mI8HH82qJMaNA78
-700lNuxIgI4n7XZx5uOgbekanPwrAbI2NHbq9f/A35MTnNtML0KMjrNijeAP
-yO5w9wobuwTbQ4ZaVkR8g3ilY2uk76TA4hKtQTZ0DCwzRgNfNmWAhOkp12dC
-n0Dqd3OWOEcOqPcJao60D0GTotwjb/N8II6Xcye9fQuRy9MJRuuLQCB2Sklz
-wwtY5815ZwmVwefVXGkS29thWeDyX1WyErjcnEvfby6GjcrStMW1/8FQtabR
-zPnHhALvr5i5/Gow5M7ckRnAJpz+FO2bUHgMn07RFXc5viWqQpDHlaEnsOlC
-iSPl+zCx6H5YreFsA5QXJ67Pn/tKcATtu+O9H4DaPpjBuTRBXD4ruD1R9hmU
-7CmWXy8wSXDz2C4M0J4BPeAH87D8JMHGB/71as8gou4ufdJikqgW17zVp/sM
-Xupl1yXETBIlgnu9NbY+g5ptQzMlK6YI02BDCXbwM9g++MfaUnKaKN2BLDTa
-nsH7XqJ2tfcMwQ68Ns0T8hye7rn/tefkDCEuzJx5ceo5rAiseFaWNEMIL6tz
-5EY/h7hBmfbk6hniZ6CY/sbE53CWN3H1mtV/iAcTo9Peuc/hjUEjmV7zhxAz
-vPmwgfUc5grSthyWmyMSdeTGT2g1w3/bZl9EGMwRjpLHT5O6zfB497GmPLs5
-ove82Cp+w2a4WZSgpxM5R7T9VJG/Z9UMsV2Zfpv75ojlTdwbetybgUuQMX8q
-c57Qnz/F1L7YDMXllfNimgtEnd+W5A8jzdDRceCAtdUCIcdYsbjtazOYOHAM
-XdqzQGi1UL2rfjZDcsyZDrckXB+hTD033wxnRijXuMYXCHSjcUFJqAUou0rd
-m2oXiWVU9MrbtAVmXhWgqX3LRNZQ87++1Bb4yjocbRSxTHSaxYxa3miBD6no
-e+b1ZULsk3Nj4e0WSIP2unLmMrHhvZ9pWFELqDuF/15r+o+41qdyVKChBdwD
-TojuEaKQ/bnbz1iOtYAVq+1Kyz8KKfPZ43WaRSvQIiVy+YU4yF6pCb2BTa3w
-ze5q62EFDrLo3P1wFZtW+MjieG9vwUFqJ3eh2l2tcNSwaf33KA6yIcjV+u2R
-Voi+YJiXuchBlm+b/iR3rRVM3Pc2MPm5yNS3uzemjLaCM8/X3jgFLlKrefup
-V99bQWyhzt1Jl4uMfeRwW3ayFb4r3jqv78JFBtfVpxYvtMLGKUcjvhwukkf3
-35omahs02/+K2WawgqyyFWz+bNoG/z1e53M3jJu07nG5I5/SBi78h/4dSuIm
-6ZWWh3rT2yDmu3T69rvcZOLMMc6Lt9pAjq9086UubpI0edz2q7ANJqVuhres
-W0lecan2g4Y2GHh7kbtociX58t3DIddvbXCyVfXce95VJLLeRl090QbU69I2
-pMoq0hqyxOpn2qDSSf7VJbdV5AnvtFsKHO0Qx9Fjbo5WkVW3GRkjku3AIKhG
-d2/xkMYb9KUPb2mHjg83eHtrecjolAenxezboffQ8U6jFzxksF34g2bHdvh3
-Ret7Af9qMl1X4YLSvnYoHRlZKRO3mtSefLP0NrQdxHbeTFGM4CX3/T3Yb53X
-Djze1zOWbvCTP0zWMKf+tgO/9kIm1xN+ssCGxmNGocMmNd9ruwb4yf7gNsnz
-3HTwuczu6aIJkME1/vdFqHQ47kqNO1IpQDYIXstdr0qH0K5DLUrvBEn68ECm
-lwMdimNqPG24hEixXqf3hS50iN7WltKpJUTyX/8y+W0PHazQ3sXp00KkzYY3
-F08cosOB1vMH/whRyXeTx30SIumwOvE4mw+o5Hbvxcqce3SQenjH+fcrKkkL
-XHz5oYQO4ouut2XGqeTc15I2pQo6vNeqFVGVEybjh48KFdbRwaBMoM35jDBZ
-7nBUv5RFh/WDXpNbd4iQBSOfs4tn6cBXnp5d4idCBss1nR5dpMMpe86m/fEi
-JI/MsLIqJwMyDINvdjWIkLHD4T13+Rkg+unKznk9UbLKk34vS4kBAdGxAg7r
-xcg8zbLFKHsGlAxvCh92wdad1HN2YsBDqwAugSgxkprpp6TlxgDNEE5HY4YY
-KeWqqNPnw4B0N7NfvsfESfcv+vPrTjOg79fXO3pZ4iTVN+4vZywD4srH2p80
-i5O0X6HVfQl4Ps+EHkjLS5DGD0KcYtMYYJ7kH0R/I0FOCF3QYpcwYH7VVhEd
-PkmS7nTme14Fng9rT+MFC0myv+rqwbBqBuypmVDQL5Qku/8ZRUgiBuyWCpoM
-OidFOr46qrOvjwFHzrp4+tVLkYmao/na7xmg82PeOf+PFDnBPde5OMyAmUmy
-midEmiwxUrfK/smABLucVtlwGdKR62JBHzcTNDUDbK41yJDGjpmokI8Jejw6
-15u4ZEnaQFtqmDAT1Gms8/GZsqSXDmO7oDwT7kOeiWKfHFlVsU2H3MCEEy3G
-0ze05cmSVZajfKZM2KY5Nx8TL0/qXv/o2Ecw4Z/niIKKuQKZeiDS4pg9E8Z3
-mG2qZCuSdWOTQRk+TDg4Uc7XLU8j6Spuj/f7MaG5ddt5ZVcaOfRkuUo9iAkb
-SO+G9k7sO96P6yKZMFIU/3QPnxKZmNLcHBvDhN+iy2zr7UqkjXRNrE0Cvn7J
-Tp+2V0okJSyDry+VCU0248m1CsqkTfvaNzk3mODQ1KBWHaBMSjXmuR7KZsJ5
-N81sxL+GpLNPeU0UM2H27H9lzgfXkHVOsT9qHjAhonPMcblxDRlh/UQ96hET
-Hqy2LZKQVyFTlf4Ik0+YYBb1bmkxVoXUiOG7vwKY8D+V60rA
- "]]},
- Annotation[#, "Charting`Private`Tag$6193#2"]& ]}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{-8.901764074565405, 5.318264993138306}, {-0.23873241421250402`,
- 0.025852856652346816`}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.05],
- Scaled[0.05]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.875952032802268*^9, 3.875952047759521*^9}, {
- 3.875952077778509*^9, 3.875952108413797*^9}, {3.875952158124817*^9,
- 3.875952180687911*^9}, 3.875952671527186*^9, {3.875952833903912*^9,
- 3.8759528406658363`*^9}, {3.875952951318654*^9, 3.8759529671528463`*^9},
- 3.884691796783944*^9},
- CellLabel->"Out[15]=",ExpressionUUID->"174f48a3-9933-4f7f-8806-091e93a9ce75"]
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtl3k01e/zwKW0KJJWyi5r2T6WNk3JUqTSghSiUhGljbJFlKwlt1AqXWS9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+ "]]}, Annotation[#, "Charting`Private`Tag$2829527#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtWHkwFYr3JzxLZevJS5ElhEi2knSEkIg8SpGtUETxLCmFKCIVUcpadpUt
++3auy+Va77Vde3ZJsstSuV+/md9fZz4zZ5vPnDlnPkfE7paJ/TYGBgZ2RgaG
+/7NysHuaTqfjG/HX36vNaHhrXSxkfYOO3tNXciVNaZj7+YjE0godxSX1lcJN
+aKhw0NBu8jsdb5zW8LloRMOjPEF9zd10PB1xZWVKj4YaYwuNb3LoyMbBlUJX
+o6FJcMsHRWs6KtjX6fwSoaE3JcjFsWoT7xNd+iR+dGFn5/bpats/OGwfIE3y
+6kJBwq2/j+77jVw32mVFmLqw0LmWhWtwA6mPJxUCn3aizdMj870P17E48biI
+DUsnrkXeC0FYw5NnLzKE+ndgMueXPTEjP3GRgzPdYaod4/SPuHc8WUGiWidj
+2Zl2fHjT9o7UmWX0tgNH/Y9teI8py9v9xyJmK7ybaV2hoq0/5QAtYwELH7oI
+fj5JxejKiZg4p3lU5DCsdNtoxbKhgzs+is5izGWRQYcjLSjGraFpmvAdK3jn
+ml9ZNmG+dIjT6NgUOvco6dlKNOAQKU9YRWUSFeKz2Us+1aHvv+vaxw5N4tdQ
+1WOU5Dr8Z0TjxnHRSUyk3ioaflOHxr8peSc5J9Hk2qHAxUd1SFCY1dSdnMC9
+4laB1Ct1mJQobW/+agKNb3vz3NpRh3Y+yZl3f44j920DqY1rJJw4FK2ARWPY
++GI5fT9jLUo/SJ2d+jCGL0zmOh4t16ArpTCL990YLp5+qTv6tQbX3GiiDmFb
+mGyJ91trkKOYf9dOmzFM/N60diK2BuVPvV26zD6Gnn2MB5sVavCeWWLBT4tR
+XI6LDEu4RERCWs5t4fOjGOOtE5J+lojMa3hIX2cUNRWkZFPUifjs7XBKvPwo
+CrXbcNwRIWLSkEi0NssomuyeVg+eqsa6GymekdkjKC7h3CvjUY08DzJV5BhH
+UMGxbH+VPwEfFx0kc68O46AvcyiPOwE3ZtMvLc0MI7PA9pELVwk4ap3mW9Iz
+jPqybf1FpwmYfyqZqJk7jEPT+vFkdgKasMSfu2g9jDJ7Xn2QFUKU3CPSwnBv
+CO07KWFkgUrkDt0/T3IYwr637in26xW4tiG4K8xkCFn5Ve0HuyuQPCBwiU96
+CE0D0r0toirwetLfE1K9X3D5cl1j8PYKzJJk+2Ny9AvK7fINM1gsw0Mqc4dS
+lwbQPTjLLi6hBB3k/PxKBwfQbXHVNdijBBMluNpb6gew8D2/u4p+CfLyH/b+
+GTuAQRRC5uByMa6uulbrag9gzvYQV3XdYiSWzppNR/Vjko6zbsJQIZqrzz44
+rNKH8ax6qvK9+Rip/KBNS7gP3RwY1vjT8rFJlvOAOUcfmhab5Wa45+NJIbkG
+/y+9KDWwo5PAkY9idJdd7Y970fgIQ8AnlTycJfxI9+juwd7WVOaFtWwM1P5B
+Lb3TjbFCTVf+uKQjUW/GSOlqN5o5eD4vmktDBsPvrdmG3djiJD3jfTsNfc2+
+NSeLdqPc8HdZ1lup6OUwQQ5vpqFKQInaNptkvB4ySLAVpmEBj5iIrmACpj0d
+gAEOGnYsB9tQNuNw/EV/1YWVLozZOc7C+CUWbd/0Vpxt7MLmeKda7eg3eDmr
+q0TZowtvT1SLP5mMQoPmllx2cidO2Vmzee19jKHU5sNB+Z2oJSs/yRweiOTO
+puzNuE7cpfjSib7mj6cHGz4uuXXiJ8XWrlU/bzw5S8oY3NuJYqt+flLBGijP
+XZWUd6sDV4ufr4Y+eQR8ptkvLvG3Ixtxp7Xz5DvIlwgrO83UjnLvqk6tZb8H
+43XH8SNzbZjN9FuczycZQhNEjnHUt+Fp0yESM28qbE5FDZV5tWGdrr7g4IUM
+mLx/T24fjYos18onmWVzwNUoIqZSioJ/JUxd7t5WDBnL+jPRjBR0BH2vKb9i
+GH3DrOHa24oCbTNNmX+K4cK491ehJ61o9plULf+rBMDHSsV/qgUlWY4qzP4p
+A+5kmU7N9GZULjVidhZCyP9J4iIfaETdPatjVdQaeJb1nnhyvQHpBxXY6AK1
+4Gzl51nY0oBMi9puMva1cKDuWP97rwYcLvDgkluvhVfRH9Luk8k4uXTv+9/7
+6+CuUoS64s16FKmUUGmyIMOFKZf5TI16HCiK3bR4RwbFOP1kYb56JMrt3bwy
+SYYZJmZ2zqo6PDOtVvjStQGsOrw6p7jqcHkyjrvbqxE03S2dEz7X4iWbx4+N
+rJtBSEJViC+kFscOnXf59boZfvXytYVZ1uJ4arvkS0ozFJyiqPiw1OLxiect
+jmotIMGjuc30Yg0yD/LE9zO3wjaSUGGjTA1OPGqbFlBqhaE7vxxPMdRgjccN
+a067VogZLmiRyyRiZvraro3SVuDIlXzD/qsaVcuPNBheosDkVWYDf0o1Dtu5
+10Tfp0AN/8jmz+RqDO3i+XgjiQK+fm+vjRtUI+9Hpuq0EQqYK3rzW4hUb+3K
+wVJmBioof/23sW2FgKzvhyM8Oakwe26nPCYQsCnIfjuPFBUat02PKv9HwKm4
+ugpVZSqkF9VFf9QlYMaBoR0JGlQIckrWE9tHQIUeXRf1s1QgnGBYVRxBXLHq
+8OE3o4JPSqmlSChiOOu1NRkrKijs+I/IqYjI929Wz10HKsz8d+jg7/4q3EVu
+VmR2pUJq/0T4t6Aq9IhdP0v2oEKf7+7EeMUqlK/jbnS8SwVOId3c86OVKLuS
+LW7pRwVN9K5miajEYyPLi6mBVPCyyWgvhUo8Y2Y+djqYClmMvWMusxW4oshD
+OhFKhS/v2VdE4iswb/ruw7CnVODVPv4X7WwFii05iSg+o4LOhBN/6EY5arDf
+Jyo9p8Ldx7EHT2aWYzjRLCliC2dLNqsuXizHwKMDnGe38Cj5t37aX+U48Z/z
+XbuteH4nWcvLhWWYaP/boXcrv8F2KxfOa2XYyXTmVt5Wff+Pzx4Qecuw5Po3
+rZmt/goM8blXdSkKv3HOCguiwtTsXJL07VJkL3DwjfCnwr4XwvlfhEpxQTM0
+jX6PCsZHztdEtpRggW2WZI/XFv/tAZ06viVY6NbAJehGhZL/8ic2pEswjE3Y
+j+q0xe/fYz+ze4tRrk4sdfkqFYSLdrFdDSnG2dJwDLOkwpM1D+mmiSLs+bXA
+vs+AClVvUtX8oopw7ubc0h4tKiwepxkoahVhSNdN7ShVKly+f/RWbFIh3tXy
+/8UqToVnQtf9jYwKsXG03PEvASoQMSaCabMAjbp+aIVtzZP0to3PzhYFW/dy
++Lj9DAWskqVJ+zkKME0gJr6gnQKR2ha0jpLPaDex45N4CQU2Hlesqe3+jL2u
+rGMB/hRo2u6nvqMtD33fjQcWsVKA4VPOOYJfHibE2mykfW0FpXPD1h5yebgf
+QXOsrhXiXpx6OBCWi2NpWnymga3QI8327FJ4NgZ/zopMW24BDZcbudXTn/Cj
+BM+jR5QWyMhpbJfS+4Q+eSHTPZkt4KMUzr+x7SN68VZ4z1u2gMBJ3ndv72Si
+skSigGNlM1w5v6+g/2oK2ixLilo5N8HM0oqqZ20y7qDtvx2k0QS+ryjIKZ6M
+JrTLyY58TRDX/7Dp1OQ7jM5fLHSvaoSCpnaSUVsCxl4RMF/f2Qg5yzfFpvqi
+8HjX5yqfVDL4dx7s3FtjiDml6XXiZBIc4hp0YpFVgjb+JlHztySgLTxM5F4z
+B/71n0+jb5Lg3kudRmel2xBirH7yKA8JaoSfBMdzP4Qb+Rc11CxqwdFR2qFo
+MxJKpXSPnlkiQinHvS6iZzI8WL7u/kyVAEmyfB05oilQara+ELCdAI+Nc6hx
+lBQQaA0X1SpHMH011uQllQa5nraFLcwI8yIGROnBDKiNDb0vGVcJEqqCOZHa
+2ZD2JyvSYaAMGj5ba+c9KQD/8XFKfUohnCAdqpEcLgCu1w+/3jcthFza+qkE
+lULYpVot9ZK5EF6tv4SwsUJYVpWHPvsCuAbk4/bqxfBrLu9cx6HPQG+UP7Jn
+oRRIT1I0ZJpzQXmUUSjAHOH1SGfd09gMkCu7uCCfidD2IfV3ikAGSER+qh1e
+Rzj64N90w7fpsP3dR+UkQwIkNpQYGsamwW9j8wH6LAHoI9ds5pNTYDA3RwqP
+EEFtvivqH0oSJN62qlUvroV5xixBPq6XEGfJnh09VAv7f7OnOcpFQoxewesf
+rCTQfrkok3UuAl4IczjHm5Mgvf9qwqLYc/CnFvL8WSfBPo/cs3K6IWArv9O6
+4kQ9KB+vPXqqzhPE5svXjxMbwCainj1b+z76tmgFLf9ogGCjaXaJc/5Iy2ri
+zN7TCN+exBMk1wIw1L5fTMStESb3ctdRdB7hfN+GIatwEzRo3w5mo4RhFUn1
+fcf9ZuDiZXzwRScKL8cW699UpQDTy0xXJpUkPJPc23LOvB1SLN8l+Jz9gPOP
+sh1ILu3QkeZaYxv/AWOuB9LVAtshrkV3B+PcB5ySlT0ild0OMfKbHQ4RHzGk
+xD+KibkDlgS5n/W3f0Jyi6RFSU4HaJ8Iyrl2IBd11zynRFi7QPne+X21Afl4
+2pCXaaWwG4ZTGfaZjRfhM1v2hfWGbohdFtFwZyrGHk+Goc3BbghJlArxES1G
+p4TZMra/emAlZMeKjk0xPptrdN93oQeGOHcbDfdt+UcEjmr97AENf+XmA80l
+6ERbro5U6YOw+sPZmYll+Ny621++eABu7j1MQ64qrD8nuNOYdwTcDQIfh5oT
+8YcI34P2t2NQoptKXGQjoaeHjO3z3ZMgG7Hnzj6beuwe4DZxIE/Brj1jboFp
+DWjjc+Irq8F34Pymx7MZ0YQ1MkdDa1hmYZaiKcx0pwUl2CumUvTmQd76mHfv
+PxQUrHA+zRKyAJFPCPMrZ6jIsLEt0310EZYqb46dZG/D1fOVViTxZaBMcl3l
+ym3DfiXrveJBK8ArGFWVcqkdb1/k5hEd+AkVFeX7RX+2456ocXNmwTUgKcWb
+Sm3pwWyLpPSlO+sQ6+ZszcnZiRfV/fTIlRvwwKNHZSGsE/OsXESP//4FLW0e
+qQTGLlzj0GIqNfsDZbIM2n33utCkTU1FMGYTAkyXK4emupBDbXt1RfwmrKte
+t6uY7sLqlL6zlsmbcPPV4dyYmS6Uv+NjG5u9Ca17VfSM57uQc3/x0z2kTei5
++9SlfLULG24qjPEtboJM+p2MgL+29DKb1AtOAzowGmFBqxhtS4+tCWSfp0NV
+ggQmidMwp78+1fAiHZhVP3m5S9JQKMeh/KkdHcZfh//4W4aGv81SJjl86FCZ
+3vzHTIGGxcn71VnT6HCMPbGarEFD151z9Wkf6GCy/OZDtCYNJbyrTHTy6HDL
+/qG2nTYNo/SvXH9UQYcc8/DADV0aui+8fcnUQQdufK8quaXvpS2chJJ76BD2
+QCRhwZiGI7WqmZpf6KCneSu/3ISGxjE9VQHftrDf1+lzF2jIti3jjMgcHVIy
+znD9Y05DdPbuJCzT4YnK9NjwJRp6delY22zQYXpg/HqmBQ3///8AlqfMEtyu
+0PB/NIzz6Q==
+ "]]}, Annotation[#, "Charting`Private`Tag$2829527#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtmGk0FYrXh2UoTcKNrorIFJnr6pralUxlpigy5GowJGWMiygVKhkimWWs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+ "]]}, Annotation[#, "Charting`Private`Tag$2829527#3"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtmHk01I/7xYXSgrR9WolItkikVDyUKIoIiaRdkUgkWUIqISRlLWtlHdtY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+ "]]}, Annotation[#, "Charting`Private`Tag$2829527#4"]& ]}}, {}}, {
+ DisplayFunction -> Identity, Ticks -> {Automatic, Automatic},
+ AxesOrigin -> {0, 0},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLines -> {None, None}, DisplayFunction -> Identity,
+ PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox[
+ TagBox["t", HoldForm], HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"c\\\",FontSlant->\\\"Italic\\\"]\\)\"",
+ HoldForm], TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :>
+ Identity, Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> GrayLevel[0],
+ 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 -> {All, All}, PlotRangeClipping ->
+ True, PlotRangePadding -> {{Automatic, Automatic}, {
+ Automatic, Automatic}}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-1\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-2\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-3\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-4\\)]\\)\""}, "LineLegend",
+ DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["h", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "h"}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
+ CellChangeTimes->{{3.871624407919861*^9, 3.8716244955603247`*^9}, {
+ 3.871628888535161*^9, 3.8716289223051*^9}, {3.871629457518793*^9,
+ 3.871629525242256*^9}, {3.8716296137151327`*^9, 3.871629625997673*^9}, {
+ 3.871629704200838*^9, 3.871629853550775*^9}, {3.871629898460318*^9,
+ 3.871629914537928*^9}, {3.8716299451102247`*^9, 3.871629954339423*^9},
+ 3.871630097238586*^9, 3.871630131562233*^9, {3.871630181745326*^9,
+ 3.871630254768821*^9}, 3.8716304278287153`*^9, {3.8716312511595173`*^9,
+ 3.8716312558499823`*^9}, {3.871631307414646*^9, 3.871631326008296*^9},
+ 3.8716313890517387`*^9, 3.871633035236746*^9, 3.872232484200904*^9,
+ 3.8722326877670507`*^9, 3.872232744803054*^9, 3.872232822043681*^9,
+ 3.87223294392085*^9, {3.872233009055416*^9, 3.872233025832799*^9},
+ 3.872233187762746*^9, 3.8722332247040377`*^9, 3.872233388756542*^9,
+ 3.872233836144418*^9, {3.872233886469149*^9, 3.872233911922018*^9},
+ 3.872233954033169*^9, 3.872234657727256*^9, {3.872827739501729*^9,
+ 3.87282776748412*^9}, {3.875951503161869*^9, 3.875951569735404*^9},
+ 3.884691802873703*^9, 3.8846918532524557`*^9, 3.887186743416803*^9,
+ 3.887186819461278*^9, {3.887186878027606*^9, 3.8871869938232822`*^9},
+ 3.887187474086*^9, {3.887187655128037*^9, 3.887187678918461*^9},
+ 3.887187744969038*^9, 3.8871877776872168`*^9, 3.8871880220364237`*^9},
+ CellLabel->
+ "Out[192]=",ExpressionUUID->"e3227dcc-9afd-4977-b15f-eede85b88fcd"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{"p2", "=",
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{"{", "\[IndentingNewLine]",
- RowBox[{
- RowBox[{"-",
- RowBox[{"Re", "[",
+ RowBox[{"Plot", "[",
+ RowBox[{
+ RowBox[{"{", "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{"DufDut", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "2", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
- "@@",
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "1", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
- ",",
- RowBox[{
- RowBox[{"Data", "[", "2", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"t", ",",
- RowBox[{"1", "/", "10000"}]}], "]"}]}], "]"}]}], ",",
- "\[IndentingNewLine]",
- RowBox[{"-",
- RowBox[{"Re", "[",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "1"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{"DufDut", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
- "@@",
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "1", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
- ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
- RowBox[{"t", ",",
- RowBox[{"1", "/", "10000"}]}], "]"}]}], "]"}]}]}],
- "\[IndentingNewLine]", "}"}], ",",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "2"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "1", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "3"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "1", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "4"}]]}], "]"}]}], "]"}]}]}], "\[IndentingNewLine]",
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{"-", "2"}], ",", "2"}], "}"}], ",",
+ RowBox[{"PlotRange", "->", "All"}], ",",
+ RowBox[{"Exclusions", "->", "None"}], ",",
+ RowBox[{"AxesLabel", "->",
RowBox[{"{",
- RowBox[{"t", ",",
- RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
- RowBox[{"PlotRange", "->", "All"}], ",",
- RowBox[{"Exclusions", "->", "None"}]}], "]"}]}]], "Input",
+ RowBox[{
+ "t", ",", "\"\<\!\(\*StyleBox[\"M\",FontSlant->\"Italic\"]\)\>\""}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-1\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-2\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-3\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-4\)]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "h"}]}], "]"}]}]}], "]"}]], "Input",
CellChangeTimes->{{3.871624380395876*^9, 3.871624486365077*^9}, {
3.871628883904001*^9, 3.871628909432775*^9}, {3.871629457267346*^9,
3.871629525012162*^9}, {3.8716296135256433`*^9, 3.871629703591056*^9}, {
@@ -6663,249 +10356,692 @@ Cell[BoxData[
3.872232659147134*^9, 3.872232720226219*^9}, {3.872232925175202*^9,
3.872232941062345*^9}, {3.87282774234025*^9, 3.872827744082013*^9}, {
3.8759514937750607`*^9, 3.875951563008548*^9}, {3.875951848422546*^9,
- 3.875951850621904*^9}},
- CellLabel->"In[18]:=",ExpressionUUID->"8d8879fb-c6bb-4b5b-a028-bc28257684bb"],
+ 3.875951850621904*^9}, {3.887186743041842*^9, 3.887186790098441*^9}, {
+ 3.887186823363668*^9, 3.887186826291638*^9}, {3.887186890645186*^9,
+ 3.8871869906863422`*^9}, {3.887187366630084*^9, 3.887187367965156*^9}, {
+ 3.8871874509191723`*^9, 3.887187457679159*^9}, {3.8871876036586847`*^9,
+ 3.887187764733572*^9}, {3.8871878714397583`*^9, 3.887188002562066*^9}, {
+ 3.8871882148709106`*^9, 3.887188249270643*^9}},
+ CellLabel->
+ "In[198]:=",ExpressionUUID->"a33a6443-e55c-45ac-8ec6-84306b68cf53"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwtWHk01f/z5oaEskRZQ1eSUPZCvd6SJEslqSgVkqKSLVnLvrXYRT5CWUOW
-bGHetixX9uteS7ZrJ9m3yLffOb+/5jxnnj9mzpk58zwjavbE4B6Bjo5uDz0d
-3f9F93G9he1tIs7Yd6ej6RYNxlz3LfduEvGBs8Y76f5hfY6B1aJ1Im5tShSQ
-v0kDkZO2W08WifgR4c2hGGMaVAWFMQ+OEfGpo5nTZtdowCxDOYD/IOJrp1nG
-5i7RIMLhjs6LOCI+qCAqs6RBg0x6+490ykS8QAf/GnmEBoz3tOT4bh3Epzx6
-k7xmh2EvtdYmKVQUvx8WzdhRMAwG1bHmRxpF8NcxO0uzng+D6+9TNm9pwvhp
-2WviV5WGofhZ7MOciwfwjgCvXumlIdAPuyry950gzhd4Vtc1bQi04sv1z8/w
-4+amj758uDEEKXXPu+xN+PBELtH7XqxDYOoTwdOSth/3VdieEs8dBI87O7JZ
-9+7Doy8/M6wwGgQ6aWHQ8OXGAzIGGSV+D0BP8Dv/TDIXrsSOD8axD4Agi1X6
-0hlOXI236auMVD9YK0oy9gqy4+4R42hF8CeYK/enVVez4vMFokk8S70g6ayy
-/fgjM84eNXt7u6wHEn9eqXmuzoj736x87anaDXIjchudCow4/c6htMeK3VAz
-xXn8uAQjfprKJmZ8rBvGVlvixvYw4uOaUlLixG6Q5NK1v9LHgEcTtJnDWLoh
-79zZg9LPGPBOO4M/BVQq1OQovBj8vAMvWTA2Z7KjwvhLHjUtXgLuGzC6kBlN
-ARb3nN/hLARcZPly/sIbCsg4aycPbtLj3NaECPkACjg9dmdxGaLHIzLOhCU7
-U4DJZJT6OYMet9A+6aV6gwJiCl8duU7R48bk2okzfBQwGzPM+XmXDn/Z1Uqy
-iugCv6FZM0lDOvzMcL73YHAXZPQF7Ht2jg731R9hv+zdBQvtZe4cR+nwtvUc
-B0G7LiB4asf4TWzDj74iHpOLXYBkJ9su796G+qFjz22Yu6A0UkJzwmgLuLCe
-JA8HMjCbjJvTq23BjTfH7xGtyWAkkuLFL7oF1dbW/nCXDAsZRFx3ehOKcoMy
-f+qT4Qh+QDXXcxP89RzSciTIEDPFLeuS9gccpGcD43o6wRHRC7FtrINBwsdp
-DuVOqGLAVQ8NrIN1osUfD6lO4Gj0MD5dsw6FD4t2Dot2wmfDzWjb1+vAeSyh
-xI+tE0YerHKRD65DQwvPtNZQBxhE/GL+T2cNHLR2NIYHdMDxye6lY/Er4Ms4
-0xv6ox0c5qSP7PdZgbfU6KxTVe1QvPry1t+HK9C8FkHpK2wHdSbJ700nVqAg
-N6RqKaEdDIgu0Q86l4Gu0LDS/2k7ON7iV0lmXQY8rtFRmKsdStuMPfe5LAJ1
-RsZX/Hwb/KVm52/dWYTArImdf1Xa4MwgYWJEaxFK/EUda6TbgDSbcSmfZxFi
-ZZluCu1tgz7WP6KXchdg7rjYxY2+VtjWjKsJnJiHinq/BcVHrXC2tHfXltEc
-1Oct0u5sNkN2xqeTdapzIJjyinStpxl44548CBWZg2wbHSee4mboWmUK0+n8
-Da/XJVmG7ZrhkKsRR/zGLNS7JW+nj/6AqpfLbJjWL6ArS/BVhCaIMgu06eT4
-BXUKQj4K75rggYZQk1XPDARfC9k/Y9cEHIyawaGPZkBP+VX5i0NNcDsgYhct
-fBq0BC2mRfxJsPlanslvcBLSszytpVUbofVJ3T3+jEngrqm7IsHRCMmXTGqz
-7SeBc8s+sW6kAS5weftQmCbhiOf9U79CGuBdZDvhiPQEhErLTqRQ60Hp/dNt
-0vMxuBfp9EH9Zh3Ypuesce6lgdBVgqwXQw0c3/PY+8zgMHAWlLAt/6iGeTup
-PfZZwyD6NlqrM6oa7NTSiZ1aw2AstesgSbwaHFuS9KPchiA0kvuuKqqCxamj
-2opNAzD22JL1uz4ODgVpplGWA3D5SWGa+m4cVtwPOazSDUA7w5fSlkiANQ7h
-hBLFfrDVUUpV9a+ATSWu5VMJfUC1qTNgNywDJu+1D+fsuuHFRI/OjcAi8Nd1
-LExl6wa9R6li10cLgXnfAok5lQry+64eLD5dCCzp0yuNvRRozFLQ1pgsAPaW
-ft2Lml3Qe/hMdi9/HryNMTH7MkAGX80eO3Q7F7jMqM84XciAu+rJy3/4AtzL
-bUkd2Z0g4HI7NEgmG3gFateu8XZAVWNx2lpmKrwbUd9TktcOOpomd1KWPwF/
-dgWRX68dTrx8qjql+BGE1Iv1+162gVrj6hvfmA+g0WykXdnVAoX+Prb7ckPh
-3N1LDt6sLeDB0FurIR4M55e0EzSxZlC5L8GQlu8FuvynlhvSm+DTl+GQ3DF1
-MLIkJra7NUDs1AHOB9FhKOipfUDY13rg0uUdDEmJRuVu1U8MZuuAOrn4TW/g
-PRILNz/dfvs7KI1k2/rPJKPr/+UfCoupBXodgvzZ1hQUnL5jt0FbDWh/Cy8w
-bElHC5Dc23amGugjXHJ5uL8gcdJiVahrFciVXHN+UZ2LbnRpZFwuqIRI478B
-ub75CJ+hObcdwiHESz4lXrsITfy+jx8sr4CuO+XV6RdL0EUm5jdJMuWgb83C
-jD39hg7In5dK4iyF/9I5K9RYcOSrPbEh6l0MOU61ShcuVqKZ2wENiUuF0Hsp
-KqM5owpdcZKIEbX8Cu1IWMFcpAaVhtRbJlLyQaVj+X5mQS0STbZSFNXOgxN8
-85S2R3UooISZIbH0C1T/SjpsbNiA+hMuf1K/ng1WbOFOMQ4klNUUekZdNROm
-djxIchv6gVzX2wawA2mgsJDOQbzVirTFudwx+k8gpD3K4CbQjvZfMeDHRhKB
-9Klh6rFZJyJtiz3xfB0P0sqZ21FJFGR141O6h2E0tIaH1kBWH2LIPzTizh8K
-Qh/Vno+uDSGMT/fUBu4LIdtG43juCJqLeWcx/84O+rwUlKnNNORGiKg9d+IG
-Gpe5leKhMYRkYs3ruJU80U3W1zXiUz9RP1/uLCt7CLrEHH65SrcHXZGnlvmp
-R6Bu8gyHsCMFFXZf8/J3jUXJnjlaqRJktBufJtYYf0AVVHHnHagDofBMv5pn
-yeiHec5ifnwbemppPVkTkYJ8Go1xFvlWlHTyqG5tbjpijvjvdcXoD9TJNp1d
-2/wZRecd4hVJJyGmwQzO79M56Eqhr9775Ab0/oaiirnPvzlw9kspI9UhRY1I
-axpX/r98dMBp/u+oWWr5vXliAfrruB5uH1iD6Oi+bptXFCGg3ntfXlyJ3k1y
-y47oliATY+vto3Y4kutwMLPoLUW6Vxk2LrhXIIsUhVqLtXKU7/cq256zFG29
-iVgZ8QN0WSaJVYypGJHUNsLzgnBEnLvmkrq3EFmIG9fK8VWhkA3foBe2eei4
-AEu/3WAVKuJ66SpT9gVtsZeu5KVWI8N+yc4IuWwUtc4nIa9Ui6Zops9PMqah
-uqbuIPkr9Ui665Ujd/s7ZOXcU2dytAExEv3mW7QiELNYL4PPjkYUubK2j4P6
-Cl1w7fPozCchvmnZfUVtdqjpyICdI3cL0pSW9Fr/Eww25IGc+JkWxKi3JZl0
-Iwz8MNsVM7NWJHe4kqQVEwWHZ2zlg1XaUO3b62tXa/4DKw27rN6pdpSawuAn
-tpUCJ94tkH4bdSDHdarlj/o0YP5tN7WjugORYgNr3wZlQHqs/WGpuE4kqKrK
-xrqQBVPzDoluOl3oK68AuEjngc2HZ5FCn7tR0cIpZ5HpIlBbWc2X5e1BHwKW
-x3gji4FN17ld06cHXdg/cuy6WglkrTqzP77Zi5r71aUJ3qUwq+8SWMH2E1li
-PTtkFsug2KOiIkdpEAmEzdg2FeLwIf3vjxKbQfQt8ESM8gYOAZ2nf1YnDSLX
-yJXo72qVcF0S/lD2DCH6fC5eS6iEdTKcoBsfQukP1Kgnv1WBinRl3qVoGgpe
-8keC/1ZGsbMrqqKBhp4ZyDVo1P67N64zLlKbNHTKglVqfK0GxBv2azDfHUGE
-359rM01rYe+9xx0gOYoio3LkbcW+w8x7gSWZijE00y2i1RJbBwlsToq7RydR
-yUvDcGfUCLH5wXyu+6eQ1LWk5T+WjRBlnLg1oT2F7tJP6si/boSQtKbamuwp
-xGNJvlbV2wjOZ4lGbs7TiEx2EX9hTwIDt1anadZfqPRVcfqNqCYgOPH0WfDN
-oS1ymalnTjMY38loL1aYQ6EZetrLbc2QdwE1sF2aQz6/NnVll5rBTPhBYYHf
-HAro25f4V7kFqurL3jIszSGJA/3FhPIW8Baw0PzYPI94vu4pSzZtBYbKvGya
-9yIaWPMOtdVrg5uZWp+UExZRu1jt13STNiiI7IsLLl1EnkLf+VoetIHFQ6ZA
-+flFpLn7lsuAbxvU7jU29zZdQozn994WLG8DP0t6XuLJZWQzoygkJ9EOO9ku
-vTSbXUES5c+tdiy0w/XDxrjSrlVkwrDGNL7VDhlnLLZZxFbRzlRdctmuDtB/
-7uyef2MVVR2jvECiHRA19uE5Q+0qetqh/+zjxQ4Qr5x/mhK3hviM478wZXSA
-plO42dT5DdSdOD42frUTvAe7NOySt5Aw4bg54Q0Z+kt0HjmXbaGIgHiNmGgy
-qITjUR7kLRRr9fmX+AcyzGlmTAbt/ItOug40y+SSwTTT/U2y9V904I4Nx1T7
-P76TWG+n/DbCBXIDeHm6YJ3xZImAGR3mXm+SnPBPj3+J87vksUCP3Riu0DD1
-ogBpr984Ox0BiwrWKtwTRIGxYF+PxN0E7Prw2dsloRQQdPP5XCNBwIL0zz/b
-+kCBgJtezKy3CVj3ymiWOlDgjpAHHk0iYHubj9pUblCAI8HxeO7HHdjIoftX
-Ox9R4UmSBceIESMmMdDnVKfZDaYPY4X8XzJjslV2Am+yeyDwstNJ+fes2G3X
-c1GvRnuBgTtyzHNjDxZM3RnwlfMnUEi+cz7snFjWk8fsmbv74aqrmVJsNRd2
-vD5Akcw4ADas0webjbkx69qSJPqeARDO/B7FNMWDffu8uYn0BsG1WOMKe9x+
-rNxf96Vs9iDYptgUKh3jw+ieK6zHEIaAjaBsJjPKj1neu+ehfX0INB8ZRkqG
-C2LK7GaVZ1OHgLdE6Imm2AHshJXVr58zQxBmFxB6nCKMCUu+e2ai8M+f+l2U
-ji8UwVRfmg+W2Q+DpInP1Y/uolilBV80Q84wdI3tSgq/ehDTEJxPt5kZhmaz
-UXUuYSL2UT3srgqRBkMMqWuRB4kYN54/e0SMBkspVjl84kSs5mf3Rb5DNOCb
-nhYUlSZijG4Or1fFaWBhv7B6TJWIGa59/JsrSYMN7+0svWtETIJEKz4gRwPx
-T3z8gW+IWMO5OAIVo8FJrd5WtnAituvPjEyVOg10J9/7v40iYmVMyrKfz9Dg
-qbTIcnQ8Eet+OFfkeZYGZV/FW1MyidjUq/ctYudpYPBd3q+mjojRKQ4p3L9I
-g3tWy2rnSUTsDF1xnf4/f+/MUrRIaiZi2e8dZJUu0yBeX+VuB/lff+HdgQxX
-aDDRhakN04iYW8fExQSjf/U6ExbvjROxPcU+cb7XaLBboCZ9coqIZai4VFhf
-p4Hcba398/NEbP+TzCBlYxpo0u9qdlgmYj7FOxSETGhwPbnRZ22NiJ1qmS0g
-3KTBQ80QVbdNIqY847J74h/+/38GNo4Vnvpxiwb/A9Zg7FU=
- "]]},
- Annotation[#, "Charting`Private`Tag$8675#1"]& ],
- TagBox[
- {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwtWHc01v/75gkpyohCKnrkU0K2j6jXW0jKKLTQslIo2SVkr5a98pGRjOwt
-3G87ez08Zjwee2TPyLffOb+/7nOdc/9x3edc51z3dfEbPtc2IdDQ0BykpaH5
-v+k8obG0u0vE6Qcedjbdo8K40+HV/m0iPqSst5fmL9ZkHVov3CTi5veJRyUN
-qMAnZ7XzfJmInzmxTYnQo0KlfxDj8DgRnz6bNmN4mwqMouTjeDMR37i4f3zh
-OhVCbB9eexNNxIel+EVXlKiQRmuTSCNLxPOu4fmhZ6hAb6IqwX3vJD7t0h/v
-/msEDvXUWMQH8uOPg8LpO/NGQLsqyuhMAx/+PmJvSfrLEXCav2DxkXoCvyh+
-W/CmzAgUOUQ9zdQ6jnf6uveLrFBAM+gm359IXpzbT1ndKZkCqjFlmldmeXCj
-+5ZZn+9SIKnuZbeNPjcex87/2J2JAvc9Qzhbk4/gXlK704LZw+DycE8G06HD
-ePgNB93yW8NAI3IClLw4cN/UYfrT80PQFxDpk9bFjsuw4MPRLEPAu98sZeUS
-G67A1ZQvKvwTzKWF6Pt5WXDnkAm0xjsIRrI/k6uqmPDFPP54zpV+EHI8v/ss
-kRFnCfv1YLe0D+IGdapfKtLjPgYV713le0FiVGKLJEWP0+6lJD+T7oXqaTYx
-sdP0+MUeZgG9c70wvt4aPX6QHp9QERYWJPaCELu6jc4AHR5OUGMM2t8LOZeV
-T4o40OEka+3feT09UJ0p9Wb42x68eEnPiMG6BybcOBVUuQi4l+/YUlo4GfY7
-Z84H7yfgfKs3cpc+kEHUUS1heJsW5zAnhEj6ksH+mfP+VxRaPCT1UlCCIxkY
-9Md6vqXS4sZqcu7yd8kgIJVvx36BFtfrqpm8xE0Gw3HdzMFHNLhbd1ujWUg3
-eFN+GQrp0uCXRnI9hgO6IXXA97DDZRrcS3OU5YZHNyx1lDqznqXB2zczbXmt
-u4HgqhbhPbkLzQOFnPpa3YDEp9pvHNiFH5RzLy0Yu6Ek9LTK5K0dYMf64l1s
-u4BRf8KIVmEH7n4QMyGad8EtviR3Hv4dqDI394FHXbCUSsTVZ7ahMNs/bVCz
-C87gx+WzXbfBR8M2OfN0F0RMc4i/Sv4NtiK//KL7SGCHaI8xb22CdmziDKss
-CSrpcPlTQ5tgHmf820WYBKwNLnoXqzeh4Gnh3hF+EnzT3Q63er8JrOdii72Z
-STD6ZJ296+Qm1LdyzqhSOkE7ZI7xv2sbYKu6pyHYtxPEpnpXzsWsgSf9bH9g
-cwfYLoicOeK5Bh97wtMvVHZA0brbvT9P16BlI4Q8UNABigxCtU3/rkFu9tvK
-ldgO0Ca+Cn9CWoXdfN0KnxcdYHeP53wC0ypAdIPdCfYOKGnXcz38ahnIs6Je
-glfa4U9PRu7Ow2XwS5/c++d8O1waJkyOqi5DsQ+/XbVIOzT+Sr2ey7kMkeIM
-BscOtcMA02/+69lLMC8moLU10Aa7KtHVfpOLUPbDe0nasg2US/r37dxagKqc
-ZerD7RbISP0iVye/AEeS3jXe7msBrujnTwL5FiDF4po9Z1ELdK8zBF0jzYPv
-ptD+EesWOOV0izVm6xdUvE7YTRlrhkq3VWZMdQ5Wv8d6SUMThBn6WZBY5+C7
-1DFPqcgmeKJ0rMmsbxZcb789MmvdBKz0KgGBlrOAZN+VvTnVBA98Q/ZRg2dA
-htd4hs+nEbbfSzJ4D0/Bu3RXcxH5Bmh7XmfCkzoFa1V1OqdZGyDhun5Nhs0U
-LG7bxNWN1sNVdg9PMsMUMLg+vjD3th4iQzsIZ0QmwUhEfDKp5wfIfHqx2/hy
-HA6H2n9WNKgDq5TMDbZDVGDWJYi701WD2MFnHpeGR2Aqp5h5tbkKFq2FD9qk
-jwDlfbgqKawKrBVSiCTVERgR2neyUbAK7FrjNcNeU8ArmOORPKqE5emzatJN
-Q1D41JSpVhMH27zk+2GmQ1D0tCBZ8QAOa86nbNdphiB/K7OkNRRgg/VEbLH0
-TxBEMl/lfcphW4Z99ULsAFjo1Wmz6JYCg8fG58vWvUBT2nftrl8h+KjbFXxl
-7gUF+a8Cd8YKgPHwUiPj1x6oHNQ9WXSxAPanzKw19JMh0URKTWkqD1haf6pr
-qXTDXIZiRj9PDnyM0DfMGuoCvu+91uhBNrAb9jiwveqC3wPqkpKfs4BjtT2+
-M4ME06R7gf6iGcB1tGbjNlcnMDTlJ2+kfYXIUcWDxTl/dV11+2HS6hfgySgn
-8mh0wJyhpfy0dCIcUyzSHHBrh1mmpQ9eEZ9BqeWWWkV3K7zgsrQ6nB0Ilx9d
-t/VgagXDh/E1SoIBcGVFLVYFa4HeGOqe5Fx3UOe5sFqf0gTFmS+8s8cV4ZYp
-Ma7jdT2M/RvN9iQ8CPm/sPENyv8BJwXzh98mhaOy11XPtX/VgYnW91KNoU9I
-INjoYseDWriypfPCZzYB3fkv91RQRA0oBPVKKrcloYCUPQe026tBSDozX7c1
-BS1BQn/7pSqwMnHM4eTIQoKNy5WBTpUw4Jb98k1VNrrbrZR6I68CLIv6/bO9
-chE+S3VsP4WD2MJ0SoxaIZqcf4yfLCsHt6Xj9SlaxUiLgfFDvGgZXPz4mwV7
-8R0dl7wiHM9WAm/1tOoU9uPIS21yi9+jCNb1zVWualWg2Qe+9XErBXCty72y
-JbUS6difjuA3zYfd7QADI75qVPL2h2kcORc++m1lpOXVIP4EM2l+tRzwF7fW
-67CsQ77FjHRxJVmw3KgvoK9bj37G3viieCcDCua4XKNsG1F6U+AlRfk0UDDr
-IrpRmpHTZvsQdjwZRKvq3U/fa0NqguzOGO0X8LM2jPY/2oGO6GjzYKNx4HNy
-oibKkIQadwWeu76PAZ2Ory/PJJCR2d0vKS664WC+cf5TYuYAoss9NerMEwgn
-9q63RG9REMatfmEL94JPKk0e5zJH0UJEpPFipDX0LG0beDdS0WtCSM3lf++i
-j/0yyRHKFCQaZVTHIeOK1Fu0llVmB9FP7uxfTCxvkcaUG0eIRh/Skewp9VYM
-QX+036ub2ZFRQe9tdx+nKOTvUxNaeboLHcBniNV6n1E5+3juQdSJUHCad7VD
-ArrqaM1YHNOOXpiaT1WHJKGiRBd0QLINxcudVa/JTkGz/ZZiFWPNiMQ8k1HT
-8g351DIG8qc0IobhVLbamUzkviR+NiahHn26K33eyDMbVTD8J1rWWIeklULN
-qey5SHhFdegiTy1qEV79ZBSXh3Idtpts/KoRDU3+rlF5ITqbdbywrKgCRU5x
-iI+qF6Nu0h12YWscSXTaGhr3lyCTGT3Oa87lyDhJqsZ4owzlyr4ts2ErQTsf
-QtZGvQENGWwfFmAoQo0KW8E5/jiyT2f2+HqoABkL6tVIcFeiAb+OD2+scpDY
-0f0/rYcrUVJFrqtoaRbaYSlZy/lahWLUKH0hEhkobJP7tKRMDSqYqnaWo09G
-dU29/pI6PxAaS3nJ0RGJzBz76vTP1qOXKrMrraohiFGgn85zTwMaU47jZe15
-h646DbiQchuRD1noeGG7NWo6M2Rtx9GKzmGsbzZ/B4BF11BmzGwrUg7jFIq/
-GwTemNWaoWEbUijdaFCNCIN/Zq0kA863I9FFfP1m9X9gpmSd3j/dgcodyF4C
-O0nwb+RS4/ytTsS4kWXa/CMZGOetp/dUdSIuTtOaj/6pkBJl849wNAmF/TnO
-zLSUDtOLtnGvr3Uji3E2eCWSAxafHUKPfetF2pFyjnwzhaCwtp4rztWH/vVb
-HOcKLQJmdccOFc8+BGbD5+4oFEP6uiPLM4N+lF5yUYTgUQK/NF/5lTMPosIp
-8h7R5VIocikvz5QZRtKDM1ZNBTh8TvnTXGwxjAJ+ykbIbuHgS7o4WBU/jGSX
-V8NrFSrgjhD8Jh+kIBc+di5TqIDNLviXZoKC5uble+S+V8J5kYqc6+FU9CjK
-B/EGVoM0qTusvJ6KprfE65Vq/vqN0+wr4W0qEmBhEp7YqAbB+iNKjI9GkcF/
-32rS7tfAIZNnnSA0hjQ0MiWtBGph9tPRFdHycTQfxafaGlUHscz20gfGppCd
-hm6wI2qAqNwAbqcj00iHGL/627QBwvTidibVptFc8+Q1yfcN8Da5qaY6Yxrd
-k+y6XdnfAI7KxFuvHWeQUeIrwTc2jaD9us1+hmkOSd8vSrkb1gQEe84BY+4F
-VJtcet81swX0HqZ2FEktIDtnDbXV9hbIuYrqma8vIHd8W118pQUMTzwpyPNe
-QEWZh+P+yLZC5Y/Sj3QrCyhjcbCIUNYKHkeNVRJbFhFv7MHShPttQFeRk0H1
-WEbyVI9AK412MEhT/SIbu4wkWGryU/TbIS90IDqgZBlR99Zytz5pB+OnDH6S
-i8soa93g1ZBXO9Qc0jPyuL+CnCUOPeAtawdvU1ouotwq2uiWPiZxugP2Ml93
-M/y1htq+vjTbs9QBd/7Rw2X2rSP6+XWGiZ0OSL1kvLtfYB3lBKp3le7rBM2X
-js65d9fRcx7yG8TfCWHjn1/S1awjYrmmQ6JWJwhWLL5Iit5AHcoxWQypnaBi
-H2w4fWULxbydGJ+4SQKP4W4l64QdND97zojwoQt+Fl+zdCzdQcY2MUoR4V1w
-PhgPc+naQU91vs0Jfu6CBZXUKf+9f9A+06EW0ewuuJ/m/CHB/A+av2rBOt3x
-d99eoJ8kuYuCGbJ9uTi7YZNervioIQ2mnaufEPv3H8+K9r7uskSLiTeXK913
-J0PjIe8JFhoCZmmvWnDQnwzjAV4ucQcImFiz8oPiQDLwvvb8Vn2agBnKXXHY
-+UwGXwN3RqYHBCybMpauCGR4eMwFD28kYLNFZy0qtsjAGmsnlp24BytjfXyT
-ZNkDz+ONWUdv0WOEhgH7OpVeuP806piPGyPGnG599ENGH/jdsJeT/MSEnTe9
-HPZurB/oOELHXbcOYqZVe33z2QaB3Oi14MnChvnqPWNJO/ATbjoZykRVsWNM
-ub7SXfRDYME0c7JFjwNTzSqOp+0bghNptWEM05zYmfjtbaQxDE5FSjos0Uew
-s87qbuIZw2CVZFEgc44be/ZMajOCQAFmgqyh6BgPRtIzcVG7QwEVS91QoWBe
-7AudYYXyVwpwFR97riJwHEu6ZzY3OEuBIGvfQDHyCezdiUgHfam/+dRbSySm
-gA9LtjcaLrUZASF9z5uJzvzYOT3ucLrMEege3xcffPMkls22mGIxOwIthmOK
-7CeIGLts0KPzRCpQ6L5uhJ4kYu75ub/OCFBhJcksk1uQiEl09mpxn6IC98wM
-L78IEbN+Yft+XZAKxjZL6+fkiVjlXOKfbCEqbHnspmvcJmJhOLXouAQVBL9w
-8/h9IGKyCtGEHowKcqr9bczBRMxhYVa0UpEK6lOffD6GETGhbRnxb5eo8EKE
-bzU8hoipPlwodFWmQmm+YFtSGhG74/GpVeAKFbRrJb2r64jYMyGK1GMtKpiY
-rSpcaSRiWauFdZp/873j/sLlxhYidjTIVlzmBhViNM8/6uz6e59frx+dDhUm
-uzGFESoRm/4xqRV76y9fR8KyyQQRc0r3jPa6TYUDR6tTpqaJGJfYq3LzO1SQ
-eKB6ZHGRiHkZp/nL6lFBhXZfi+0qEVtK3yN1TJ8KdxIaPDc2iFha9a88ggEV
-nqq8lX+9TcQSKa8OTP7F/99nYDdlCi4036PC/wATEAAY
- "]]},
- Annotation[#, "Charting`Private`Tag$8675#2"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- ImageSize->{453.9999999999991, Automatic},
- 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->{All, All},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwt1Gs01HkcBnCxFCqyyUruaqVZG1s6q+zjKC2KomxKLsOuLSrl1LqVFK2p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+ "]]}, Annotation[#, "Charting`Private`Tag$2904258#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwt2Hk4FIrXB3CRiEibuIpICNlpd6yJiJTSVdZLRSkVKkJyI5G4kjW7LNl3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+ "]]}, Annotation[#, "Charting`Private`Tag$2904258#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtmHc0FY77x6VBKpRKUjITISWkPjy0lEpSysoKhYzsIluEkJUQQkJlZYfH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+
+ "]]}, Annotation[#, "Charting`Private`Tag$2904258#3"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtmXc0Fo73xyVJSz5KKGRmJluImyQSEZHMKBJlVZIdkqJCSMjICGVGtmuW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+ "]]}, Annotation[#, "Charting`Private`Tag$2904258#4"]& ]}}, {}}, {
+ DisplayFunction -> Identity, Ticks -> {Automatic, Automatic},
+ AxesOrigin -> {0, 0},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLines -> {None, None}, DisplayFunction -> Identity,
+ PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox[
+ TagBox["t", HoldForm], HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"M\\\",FontSlant->\\\"Italic\\\"]\\)\"",
+ HoldForm], TraditionalForm]}, AxesOrigin -> {0, 0}, DisplayFunction :>
+ Identity, Frame -> {{False, False}, {False, False}},
+ FrameLabel -> {{None, None}, {None, None}},
+ FrameTicks -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ GridLines -> {None, None}, GridLinesStyle -> Directive[
+ GrayLevel[0.5, 0.4]], LabelStyle -> GrayLevel[0],
+ 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 -> {All, All}, PlotRangeClipping ->
+ True, PlotRangePadding -> {{Automatic, Automatic}, {
+ Automatic, Automatic}}, Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-1\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-2\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-3\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-4\\)]\\)\""}, "LineLegend",
+ DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["h", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "h"}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{{3.871624407919861*^9, 3.8716244955603247`*^9}, {
3.871628888535161*^9, 3.8716289223051*^9}, {3.871629457518793*^9,
3.871629525242256*^9}, {3.8716296137151327`*^9, 3.871629625997673*^9}, {
@@ -6921,9995 +11057,827 @@ nqq8lX+9TcQSKa8OTP7F/99nYDdlCi4036PC/wATEAAY
3.872233836144418*^9, {3.872233886469149*^9, 3.872233911922018*^9},
3.872233954033169*^9, 3.872234657727256*^9, {3.872827739501729*^9,
3.87282776748412*^9}, {3.875951503161869*^9, 3.875951569735404*^9},
- 3.884691802873703*^9, 3.8846918532524557`*^9},
- CellLabel->"Out[18]=",ExpressionUUID->"48123e43-e631-4a06-a47a-7719830a4918"]
+ 3.884691802873703*^9, 3.8846918532524557`*^9, 3.887186743416803*^9,
+ 3.887186819461278*^9, {3.887186878027606*^9, 3.8871869938232822`*^9},
+ 3.887187474086*^9, {3.887187655128037*^9, 3.887187678918461*^9},
+ 3.887187744969038*^9, 3.8871877776872168`*^9, {3.887187917169589*^9,
+ 3.887187949227336*^9}, {3.8871879838276787`*^9, 3.887188010158411*^9},
+ 3.8871882575514183`*^9},
+ CellLabel->
+ "Out[198]=",ExpressionUUID->"58bb8392-075e-4542-92cf-f8f93253afe9"]
}, Open ]],
-Cell[BoxData["\[AliasDelimiter]"], "Input",
- CellChangeTimes->{
- 3.884691837898141*^9},ExpressionUUID->"c5dbaf72-a605-4c61-ba62-\
-df24770f7000"],
-
Cell[CellGroupData[{
Cell[BoxData[
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}], ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}], "[",
-
- RowBox[{
- RowBox[{"-", "1"}], ",", "0"}], "]"}]], "Input",
- CellChangeTimes->{{3.87223512665443*^9, 3.872235127014502*^9}, {
- 3.87223527941006*^9, 3.872235292649597*^9}, {3.872235335347577*^9,
- 3.872235335506427*^9}, 3.8722354455250196`*^9},
- CellLabel->
- "In[106]:=",ExpressionUUID->"e32ddefb-6d7d-41d8-9408-44dfb467bc51"],
-
-Cell[BoxData[
- RowBox[{"{",
+ RowBox[{"LogPlot", "[",
RowBox[{
- "1.0000000000000000667030452102246523874476270997852356600807`36.\
-17585433868004", ",", "0"}], "}"}]], "Output",
- CellChangeTimes->{
- 3.872235127332223*^9, {3.8722352819398212`*^9, 3.872235292893738*^9}, {
- 3.872235331301289*^9, 3.8722353357074413`*^9}, 3.872235445743123*^9},
- CellLabel->
- "Out[106]=",ExpressionUUID->"1b64efb6-925e-4824-9bef-21a9599fd16c"]
-}, Open ]],
-
-Cell[BoxData[
- RowBox[{
- RowBox[{"dat", "=",
- RowBox[{"Table", "[",
+ RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
- RowBox[{"{",
- RowBox[{"uhh", ",",
- RowBox[{"Re", "[",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
- "@@",
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
- ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
- "]"}], "[",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "1"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
RowBox[{
RowBox[{
- RowBox[{"-", "1"}], "/", "100"}], ",", "uhh"}], "]"}]}], "]"}]}],
- "}"}], ",",
- RowBox[{"{",
- RowBox[{"uhh", ",",
- RowBox[{"-", "1"}], ",", "1", ",", "0.005"}], "}"}]}], "]"}]}],
- ";"}]], "Input",
- CellChangeTimes->{{3.872234766752447*^9, 3.872234779704761*^9}, {
- 3.872234823049811*^9, 3.8722349522281427`*^9}, {3.8722350912462263`*^9,
- 3.872235094854218*^9}, {3.872235191920051*^9, 3.872235254417467*^9}, {
- 3.872235450845731*^9, 3.872235503214364*^9}, {3.872235840093238*^9,
- 3.8722358505084553`*^9}, {3.87223607674478*^9, 3.872236151410009*^9}},
- CellLabel->"In[16]:=",ExpressionUUID->"2ccff759-af39-4419-abaf-3a2ff108b592"],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{
- RowBox[{
- RowBox[{"InverseCoordinates", "-",
- RowBox[{"1", "/", "10"}]}], ",", "0"}], "]"}]], "Input",
- CellChangeTimes->{{3.872235113998953*^9, 3.87223512019034*^9}, {
- 3.872235272145976*^9, 3.8722352748733377`*^9},
- 3.872235439677137*^9},ExpressionUUID->"9d38bf0a-1b01-459e-b90b-\
-f4f4f415ffc7"],
-
-Cell[BoxData[
- RowBox[{"InverseCoordinates", "[",
- RowBox[{
- FractionBox["1", "10"], ",", "0"}], "]"}]], "Output",
- CellChangeTimes->{3.872235120626444*^9, 3.8722352750587683`*^9},
- CellLabel->"Out[94]=",ExpressionUUID->"38d4c10e-4140-44a4-b4d6-bba3ce09f096"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"dat", "[",
- RowBox[{"[", "1", "]"}], "]"}]], "Input",
- CellChangeTimes->{{3.872235227833015*^9, 3.872235229152369*^9}},
- CellLabel->"In[86]:=",ExpressionUUID->"44224ffd-2c48-4581-a368-ab909e0701bb"],
-
-Cell[BoxData[
- RowBox[{"{",
- RowBox[{
- RowBox[{"-", "10.`"}], ",",
- RowBox[{
- "-", "0.00095951352705328559882280580778407117`12.425236895726037"}]}],
- "}"}]], "Output",
- CellChangeTimes->{3.8722352294047327`*^9},
- CellLabel->"Out[86]=",ExpressionUUID->"a7b79756-7237-4715-9177-7809c5991e45"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"ListLogPlot", "[",
- RowBox[{
- RowBox[{"-", "dat"}], ",",
- RowBox[{"Joined", "->", "True"}], ",",
- RowBox[{"PlotRange", "->", "All"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.872234876162487*^9, 3.8722348963942738`*^9}, {
- 3.872234941355227*^9, 3.8722349415550013`*^9}, {3.8722352326251287`*^9,
- 3.872235247920665*^9}, {3.872235477245391*^9, 3.872235477588955*^9}, {
- 3.872236087544827*^9, 3.872236118129261*^9}, {3.872236158738308*^9,
- 3.872236158929994*^9}},
- CellLabel->"In[17]:=",ExpressionUUID->"eb887467-cb9c-4af9-9454-a333612bd730"],
-
-Cell[BoxData[
- GraphicsBox[{{}, {{}, {},
- {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
- AbsoluteThickness[1.6], LineBox[CompressedData["
-1:eJxVmXlYlGUXxt+ZkSQs+yy3MhfSupRcUsk1PFpplqa4kqaVhglqZe6muYX7
-Z6lpWZloZqS5kSQo6nk1xZ1dQNZhYJhhHRwBQbYv3+c+f3zzjxcX8szznN95
-zjn3/XjP/Hz8LLOmaTtMmvboX/Upp0VffLdx3n6Lnnpwvp9Xqos23N31583v
-Lfrxt3K/bHncRaGtZk3tsM2iry8eF9VhvYs+G/T7wsCvLfq0by9Vdp3mor2h
-K1J+WW7R+xofF6WN2DjjxucW3ctY0EXXezvchbMs+qPV3soto+m/9wmqe9+i
-/7vYvyuWUfZHS/eZxlt0Y7lvy2jkqX4Lat6y6J8YnzIatGMm5/lZdD9jwTJy
-b5w6Q+9r0VsaGyyjPw44+3zbzaKXPNpecSkd7jukuX9Hi24sd6mU5n9ffsvc
-yqL/9OOjTyl1ulr5VpiXRf/CWLCUNt7bH+CnWfSRxgZLyWTbl3S50qx3NA5c
-Su994N7pV2zWqx4tV1lCdwPL54ZZzfrtW48+JXTZ/zVfc4pZ/+1R+A6WkE/e
-P/q7N836CmODJeTfK9q+WTfr440Dl9AfwXuWnP7brHczAlhCo/c8NSLpiFlX
-PEqoSZfmL1lDzeBRTGdGnnZk7jKDRzH1Dpz6/vXNZvAophLvZf6HVpnB49+f
-153aPX+hGTyKqY2eUO0TZAaPYnJ5RIxInmYGjyLq4zl+1LxxZvAoovq5EQnu
-4WbwKCLrY66DsweZwaOI5t97buuNnmZ9iLFgEe2d6z+2XWczeBRRux37I6e0
-MYNHIfXLbL5lfTMzeBSS5+ItW/c1msCjkN4d5Vj9232TboRvfiGdr07p9oPD
-BB6FlBqc+86SDBN4FJLjnekHh8WZwMNJWv8gd/UlE3g4adPv2ZU/nzaBh5Mu
-/TRhjs8RE3g4KdHi2ey3X0zg4aTA7NwdnjtM4OGklx/7ODIgxAQeTup8NrTP
-jqUm8HDQtjjfMxFzTODhoEHb/RovTjeBh4Pih74dGeVvAg8HBYzy37nnDRN4
-OGi012Ga0c8EHg56+5W6eU93M4FHAT1+bUDMn+1M4FFAC69trOze3KRvNwJY
-QK0G0MHdmgk8CsgvI3mx3a2BRwGFzo5v8bxdA48CGjLg/LMDUzXwsNPDFe16
-vnZdAw87laX5l3aJ1sDDTkGr9tx3H9XAw04eoe70Q/s08LCT1+hnBvtt13Rj
-ex3sZDvifzhqrQYe+fT0V9uj2izUdAPHrXw66fatmRKogUc+VV7wrFk1SQOP
-fKqd5fPGhhEaeOTTlLNVH37eXwOPfApb404e2FUDj3za3PNUF3tbDTzyqOvZ
-mNj5j2vgkUceWb6hUfcbWfHIo4/mXxw6JrmRFY88Ghxd/OmBiEZWPPIovtvG
-ZuG7GlnxyKOdCSMerFjUyIqH7V/+q5uaJjay4mGjkyFOL+rbyIqHjdLHTL7m
-+3QjKx42Cjq6pMFa3sCKh412b9/w8etxDax42Ciw3uNQwLEGVjxyyTU6aHbH
-rQ2seORSpF0fvieogRWPXHq+67wEfXgDKx65lPZhxI4fXmhgxSOXOq5dYGnX
-WM+KRy49WHRkz9sZ9ax4WCk/4oUo78h6VjysNOBe1bkDO+tZ8bDS4OUvVl39
-tJ4VDys91qbN7ztH1rPiYSV7M2+z1rmeFQ8rdUzW+jSvr2PFw0rO8ePGRqfU
-sYp/Di3RagI9TtYh3jnU9Nj2z4o21SG+ORT+8aWAoBl1iGc2BbtCa1cOrEP8
-smnyivLOL7WoQ7yy6dT5RZtmOGsRnywKauEd251rEY8scqWM3rB+dy3On0XP
-BKX0CJ5bi/NmEmUO6n5naC0b0foyk87d3J8Y06qWjfB0zaToXnemDi56yClG
-PmVQwpyBBb0uPOQQI38y6MIXB1Ye2PGQ+xj5kkEXqzo12xb4kG3GgulknREz
-09XvIfIhnY6NeL3/Fc+H4J9Os4qXt2+WXgPed6ntZMuW80dqwPcu5ffeHJf2
-ZQ143qWfolq2n/JODfilUbuDg1cOerYGvNIouqJX3DJHNfikkeWNE7FP/V0N
-Hml02hbbtHZtNXik0r4uv959dUw1eKTSzI2RC6KfrQaPVPpjSXDshvwH4JFC
-c9IbwncefwAeKVQ45YfDd5c+AI8U+vZmdpPJQx+Axx2anLwuyeT5ADzu0GLf
-WbkpsVXgcYcmHgn5K3ZXFXgk08lju1fZplSBRzL5bH6je7MOVeCRTPEhLUYP
-y60EjyS6bk98+quDleCRRLT8xITTgZXgkUTTex1ent+lEjwS6dPy3Wsa8irA
-I5Euj1pd+vBABXgk0oicgJi4DyrAI4HyJlZsWvBcBXgk0J+b+nqnJd8HjwQa
-dm1IdsW2++ART6+2vvbJueH3wSOevsvuetS7zg0e8fTJOspsHe4Gj3j6c6F9
-3LZAN+IfR3/3SPx6cWs34h1L/uYz9y7E3EN8Y4nHBD313uJ7iOdtym0M69Hz
-hXuI3y1a9uzWj3rcLke8btGgooyZQ5eUIz436dCE15b4ty9nqxGPG/TdKx6r
-t4S4+DXj/Dfovbhtfo/fKOM9xnmv04VhtU3sXmVcYSx4jW72PRucO6KU/Y0N
-XqOd9ycOP/9VCR818ukqTYs759vnRDF7GvlzlTr0P9ekIr2IA418iaHC8C2P
-n9SKWDfy4wpdtmVNf6JTIXcy8uEK1fR4yiNsgJNXGge+TAFba4pavuPgNIP3
-P7QwRYu2TihgX4PvPxTq1XvD5kl28LxEk35e2nPtmHzwu0hT26zb4jMkD7wu
-Uk/bL31SO9vARyfPF2Ntlxus4KHTj+7j4b57cxD/C/RT97XtrnpnId7nKczd
-Zthz/01HfM9R26AvFp9PS0U8z1J7z7y3nU3uIH5naH9Gy/HBTyYiXlG00Jxd
-1CnrNuITSR6eoREvjbyKePxNnScE/ZM0Tudlxvkj6ERl6x6rM8P5FeO8p8gn
-o0m+072Gncb5wsk5NujAmAXHaL+xwZPUa9X89W3m6HTS+LrjdGVrYvmmvjeo
-k7Hfo3R2RdQn9fMSabuxv8O0oFtwYdM300gz9hNGp4pbdmganU1rjO//ja6P
-XR3Sts5G5cb3HaDjeya0/rWtg1SD30eTK/bO/jW9mPYb6/1IOc38v07kcvz9
-LkqZEOMT0b8C//8bqgwf+/pjkdX4fQit8+u0LPr5Rvy8iL4e037l8k4eQ0WB
-/Joz8kbM2ReGaq2M37M/fo+/Z/l7zRgAv+Hk/1t/F8v3r1H7Yzf2h/2z7N+q
-zsfXcT6cn+X8iA9LfNR5D/MoxA/xZYmvWv84hyD+4MPCR8UznFuBH/iy8FXf
-H8FPVin+yA+W/PiPyh/ujvxBfrHkl9rfGf4L+Yf8ZMnPV1T+cjfkL/KbJb/V
-/i9wGPIf94Plfvyh7g+3wP3B/WK5X+p8F/lj3D/cT5b7OUDdXz6E+4v7zXK/
-Vf5f5nG4/6gPLPUB9YOlfgSp+sIu1BfUH5b6c1LVJ56B+oT6xVK/qlV943jU
-N9Q/lvo3VNVHnob6iPrJUj83qfrKYaivqL8s9Tde1Wf+EvUZ9ZulfrdV9Z11
-1HfUf5b6/5HqDxyJ/oD+wdI/Jqr+wrPRX9B/WPqPOl8890N/Qv9i6V97VX/j
-Y+hv6H8s/U/1h0R+E/0R/ZOlf6p4JPJc9FdVn5P4Q/Rf9GeW/qx4J/EN9G/0
-d5b+rup/Mr+M/o/5gGU+UPlwhydhfsB8wTJfXFbzBwdg/sB8wjKfqHxJ4SLM
-L5hvWOabJ9T8w4cx/2A+YpmPVD6l8n7MT5ivWOYrxSONm2D+wnzGMp8pHmn8
-POY3zHcs853icZftmP8wH7LMh4pHOsv8iPmSZb5UPNI5B/On4pHBMp9ifmWZ
-XxWPDE7CfIv5l2X+VTwyWeZjzM8s87PikcUtMV9j/maZvxWPLA7GfI75nWV+
-VzyyOQDzPeZ/lvlf8cjhv6APoB9Y9IPikcNLoS+gP1j0h4/SJ+wNfQL9wqJf
-1Pms3BT6BvqHRf/EKn3EA6GPoJ9Y9JM6fy7XQF9Bf7HoL+gzFn0G/cai36Dv
-WPQd9B+L/oM+ZNGH0I8s+hH6kkVfQn+y6E/oUxZ9quZhG3eBfoW+ZdG3Kl/y
-WPQv9DGLPt6g9DPPgH6GvmbR1yqf8lj0N/Q5iz5XPPJZ9Dv0PYu+VzzyuQ76
-H/4Aiz+geORzOPwD+Ass/oLiYWfxH+BPsPgT8C9Y/Av4Gyz+BvwPFv8D/giL
-PwL/hMU/gb/C4q/Af2HxX+DPsPgz8G9Y/BvFo4C94O/A/2HxfxQPB4s/BP+I
-xT9SPBycAH8J/hOL/6R4OFj8KfhXLP6V4uFk8bfgf7H4X4qHk8Ufg3/G4p8p
-Hk4Wfw3+G4v/pngUsvhz8O9Y/Dv4eyz+Hvw/Fv8P/iCLPwj/kMU/hL/I4i/C
-f2TxH+FPsviTikcRi38Jf5PF31Q8ilj8T/ijLP6o4lHM4p/CX2XxVxWPYi6F
-/wp/lsWfVTyKWfxb+Lss/q7iUcLi/8IfZvGHFY8SFv8Y/jKLv6x4lPAV+M/w
-p1n8acWjlMW/hr/N4m8rHqUs/jf8cRZ/HP45i38Of53FX4f/zuK/Kx5lLP48
-/HsW/17xKGPx9+H/s/j/ikcZy/sA3g9Y3g8UDxfL+wLeH1jeHxQPF8v7BN4v
-WN4vFA8Xy/sG3j9Y3j/+B6NuRm8=
- "]]}}, {{}, {}}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, -3.378167736878136},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0],
- Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImageSize->{665.9999999999993, Automatic},
- Method->{
- "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
- "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& ), "CopiedValueFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& )}},
- PlotRange->{{-1., 1.}, {-3.378167736878136, 9.36479789866991}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.02],
- Scaled[0.05]}},
- Ticks->FrontEndValueCache[{Automatic,
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0]}, {
- Automatic, {{-2.3025850929940455`,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.1\"", ShowStringCharacters -> False],
- 0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 1}]& ], 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.}}, {9.210340371976184,
- FormBox[
- TemplateBox[{"10", "4"}, "Superscript", SyntaxForm -> SuperscriptBox],
- 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.}}, {-4.605170185988091,
- 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.}}, {
- 9.903487552536127,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 10.308952660644293`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 10.596634733096073`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 10.819778284410283`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.002099841204238`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.156250521031495`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.289781913656018`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.407564949312402`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.512925464970229`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 11.918390573078392`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 12.206072645530174`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 12.429216196844383`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}}}]]], "Output",
- CellChangeTimes->{{3.872234877752461*^9, 3.872234956364738*^9}, {
- 3.872235206340292*^9, 3.872235257483449*^9}, 3.872235328860366*^9, {
- 3.872235455682191*^9, 3.872235506074443*^9}, {3.872235844605751*^9,
- 3.872235854155307*^9}, {3.8722360831096478`*^9, 3.872236159131474*^9},
- 3.8728279294097643`*^9},
- CellLabel->"Out[17]=",ExpressionUUID->"1e205518-5f28-4b0d-bf97-1ef60e744fe9"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"p6", "=",
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{"Re", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{"DufDuh", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}], "@@",
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "2"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
- ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}],
- "[",
- RowBox[{"ut", ",",
- RowBox[{"1", "/", "100"}]}], "]"}]}], "]"}], ",",
- RowBox[{"{",
- RowBox[{"ut", ",",
- RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
- RowBox[{"PlotRange", "->", "All"}], ",",
- RowBox[{"Exclusions", "->", "None"}]}], "]"}]}]], "Input",
- CellChangeTimes->{{3.8722347322313757`*^9, 3.872234748184293*^9}},
- CellLabel->"In[58]:=",ExpressionUUID->"c56e2f6b-9c72-4c2d-8eba-3038314a2f4c"],
-
-Cell[BoxData[
- GraphicsBox[{{}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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->{All, All},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.872234737395122*^9, 3.872234749166255*^9}},
- CellLabel->"Out[58]=",ExpressionUUID->"b9d51004-0cce-4c5b-a304-1aa9a84c56db"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"p6", "=",
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{"Re", "[",
- RowBox[{
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{"DufDut", "@@",
- RowBox[{"PrepareArgument", "[",
- RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "4", "]"}], "@@",
- RowBox[{
- RowBox[{"InverseCoordinates", "[",
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
RowBox[{
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
- ",",
- RowBox[{
- RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}], "]"}],
- "[",
- RowBox[{"ut", ",",
- RowBox[{"1", "/", "100"}]}], "]"}]}], "]"}], ",",
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "3"}]]}], "]"}]}], "]"}]}], ",",
+ "\[IndentingNewLine]",
+ RowBox[{"-",
+ RowBox[{"Re", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"DufDuh", "@@",
+ RowBox[{"PrepareArgument", "[",
+ RowBox[{"Data", "[", "6", "]"}], "]"}]}], "]"}], "[", "2", "]"}],
+ "@@",
+ RowBox[{
+ RowBox[{"InverseCoordinates", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<\[Theta]0\>\"", "]"}],
+ ",",
+ RowBox[{
+ RowBox[{"Data", "[", "6", "]"}], "[", "\"\<gs\>\"", "]"}]}],
+ "]"}], "[",
+ RowBox[{"t", ",",
+ SuperscriptBox["10",
+ RowBox[{"-", "4"}]]}], "]"}]}], "]"}]}]}], "\[IndentingNewLine]",
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{"-", "2"}], ",", "2"}], "}"}], ",",
+ RowBox[{"Exclusions", "->", "None"}], ",",
+ RowBox[{"PlotRange", "->", "All"}], ",",
+ RowBox[{"AxesLabel", "->",
RowBox[{"{",
- RowBox[{"ut", ",",
- RowBox[{"-", "10"}], ",", "10"}], "}"}], ",",
- RowBox[{"PlotRange", "->", "All"}], ",",
- RowBox[{"Exclusions", "->", "None"}]}], "]"}]}]], "Input",
+ RowBox[{
+ "t", ",", "\"\<\!\(\*StyleBox[\"\[Chi]\",FontSlant->\"Italic\"]\)\>\""}],
+ "}"}]}], ",",
+ RowBox[{"LabelStyle", "->", "Black"}], ",",
+ RowBox[{"PlotLegends", "->",
+ RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-1\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-2\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-3\)]\)\>\"", ",",
+ "\"\<\!\(\*SuperscriptBox[\(10\), \(-4\)]\)\>\""}], "}"}], ",",
+ RowBox[{"LegendLabel", "->", "h"}]}], "]"}]}]}], "]"}]], "Input",
CellChangeTimes->{{3.871624380395876*^9, 3.871624486365077*^9}, {
3.871628883904001*^9, 3.871628909432775*^9}, {3.871629457267346*^9,
3.871629525012162*^9}, {3.8716296135256433`*^9, 3.871629703591056*^9}, {
3.8716297390329103`*^9, 3.871629853114192*^9}, {3.8716298958192244`*^9,
3.8716299139879017`*^9}, {3.871629944204525*^9, 3.871629952700124*^9}, {
3.871630090583139*^9, 3.871630094694592*^9}, {3.8716301742008753`*^9,
- 3.8716302000245533`*^9}, {3.871630255641987*^9, 3.871630256505756*^9},
- 3.871630433661292*^9, {3.871633041478835*^9, 3.871633042334145*^9},
- 3.8722329932793493`*^9},
- CellLabel->"In[54]:=",ExpressionUUID->"8965277f-d2d2-40c8-b8ca-7816448c9503"],
+ 3.8716302000245533`*^9}, {3.871630243281377*^9, 3.871630253377584*^9},
+ 3.8716304265249653`*^9, {3.871631246388459*^9, 3.8716313024379177`*^9}, {
+ 3.871631382016287*^9, 3.871631383422778*^9}, {3.871633017182467*^9,
+ 3.8716330172537737`*^9}, {3.87223244386093*^9, 3.872232463125258*^9}, {
+ 3.872232659147134*^9, 3.872232720226219*^9}, {3.872232925175202*^9,
+ 3.872232941062345*^9}, {3.87282774234025*^9, 3.872827744082013*^9}, {
+ 3.8759514937750607`*^9, 3.875951563008548*^9}, {3.875951848422546*^9,
+ 3.875951850621904*^9}, {3.887186743041842*^9, 3.887186790098441*^9}, {
+ 3.887186823363668*^9, 3.887186826291638*^9}, {3.887186890645186*^9,
+ 3.8871869906863422`*^9}, {3.887187366630084*^9, 3.887187367965156*^9}, {
+ 3.8871874509191723`*^9, 3.887187457679159*^9}, {3.8871876036586847`*^9,
+ 3.887187764733572*^9}, {3.8871878714397583`*^9, 3.887188002562066*^9}, {
+ 3.8871880651171618`*^9, 3.8871880740271997`*^9}, {3.887188109820418*^9,
+ 3.887188166220853*^9}, {3.887188266607832*^9, 3.887188319744246*^9}},
+ CellLabel->
+ "In[200]:=",ExpressionUUID->"f223d556-482e-413f-bd97-027e350d7fc8"],
Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwtmmc41//3x+29N0XyQZlZWaX3GyElUVIhhJRIIqOMiERkRmYJ2TKzKueV
-vbJX9iYreyX+3991/e+cc50b5zp3zng+rusct3h09S4JERGR93/mf95z9vLa
-4SEB7WptvAplNYIZd47NwX0CArcB2qojRqDLNLpduktA2//mH+4QjIBfyeHf
-o3UCEtO/2OsgZwRVryOoxmYIKGAlwyPsuhFQSfbxoZ8ENPvW+9KbGCN4+8T8
-knc8AZE00peGHDeGbGKnVCIFAnpigjdr4CZAfldLhvu2ABrvltXWWTYF1v5a
-u+Tw4+j0pIbts2lzuFodZynSxI9uQfWmjrcFuP9RsQubPIa68GrCT18rKHON
-e5B3hQ+1Hl1Triu2BgGrx5/6L/Ah7WiFdSqwhjd6F8aI1fgQB2f+x6uN1mAh
-snXdQI4Pecy57e0NWwPtoL7qLhcfMqYvupxEeQ9Mz1FzqU/wotI9WiF1k3tA
-Su5W2/uEF2noLTlz0d4H3Yjr/AexR9FSRRxPpLcNPJNh1NaKPIpEOjYGwoJt
-IK2z4XFY8FF0XDOF5V2MDRywnK0WeH4UDfitUH7Pt4HcSAFrLaujaKOYbPHR
-uA3QRf3JDpM8ijgyHOrdzj+ApneBCoTqI6j11hfVq8y2oJX4XffCIg8Kb+Nl
-JTTYwcqboX2yGR6kfTRRO7jHDuK8/mb9GOVBGcSyEwcTdrBopkR5posHWZ2u
-MCE6sIMIgS8gUcGDNK4cfeQs9xBG0nOkWAN4ENVe9fyplIfgUhjPMkLgQebj
-zb4nAuwhrf5pr5MxN1K3Mv55UskBYmVc1DMNuJE3i/StYVUHCE50zB+5zI0o
-Wv/MxVx0AEcn29faODdi0beUETJxAJVjt88dE+JG5lF/1SKfO0C3C57WtMyF
-jm7tirXUOwCJMKXL8RdcqOZF3ujv24/B1O8te1sGJ2Lt0H31I9kRWrEtSrdk
-TvRo14G0OscRsL839vgTONEHcUJ4S4kj8DseGXUM5US9NKRkO02OMGGWnMHh
-wonsJ7tUCtYdwfpM/hlTdU6013phoFjTCezXmu8sDXOgwOphWrV1J/AyJ/1M
-y8qBDA5zXmTfd4b8Nq2QbjoO5B4bPQJPnGHiXLB9IgUHOt553XXE2xk0edlP
-ndpjR0YL398oxzoDw4Bw/tVxdvR6PC/6UZMzvL92sTA2jx158hi/7ZN0AdAM
-Lzmhw45IrvJ/2Tp0gbUvPdErGuyoT7XA7gG9KwgK8biWY+zop8rc5m8eVwgg
-TVG4JMuOnlv0FNPJu4IeKi6z52FHcRFk9hN2rjCm1F/xZY4NwbjO7cEhVyCS
-OAbqL9lQ5YvbonZ1buDBoWr60osN+Z8e9KvsdYPtQ4t/da5saJBUmfL4rBss
-d6adufiADZkxSf3ioHoKg26SZXpX2JD4mRGmhotPoaRGpeA2Nxuq11M4Z9D1
-FB6amKS45rIiC3+6uZLVZzCn4aVWnsaKaBlmXZXJ3MHqVNL43gdWJFr0SKiD
-wx2MSKaOeUWwondeMuqKZ93hQoZtgp8rK7pde9R15ZU7CG48iwpXZUWZ29IN
-/AQPGAiKfZXdw4ICqKyfXbLxhK5a/hzzNhb01IyS7tDDE1oO09vZG1mQXmCy
-Y12YJ1Q6lXB7f2NBd/tSRMLLPCHZuCvbIIXlv3lrlOOm9oIHYvTt/xxYUKPC
-L0q6z17wt8mbS4+OBb0wSnQSJPOGDTIqFXIKFpSoGCZ1g9Ebls+F3qk4ZEa6
-ogcFUTzeMFaYmCW4zoyeRfqcl5f2hpq4irO7v5jRyhs6L0ozbwh+sGGenM6M
-pN5IX9/95g1Hae5nbqgxo0ly5U+xL3zAtLIlWOAsMxpm0hJyD/OBj47SDnqn
-mdGf+ttSD9/7gPDgnnzOCWZUp6+t71vhA6dy3tRY0jEjbWX+3GfrPqCmWzTa
-2cOE1n5/38m9/wJsIg7YC+4zoV2bYNENc1/I0bTcHbnDhMrZ1C34HvvC8l79
-EJ0xE+JUbhkz8fEFR8vwlPuXmZBLQ7oyZ7IveMgJSvPLMCFaqlCxl1O+wJcb
-GcO3zYi2IhS17j70A9vTouSDRxmRlYtwPx72EhzJy9NdGBnRtUds4RPJL+FZ
-j9ZFFhJGxOrX753w5SW8dr4bqj3LgLgpPuTeGnwJWV+SuMsKGJCQ+Nulfyf8
-4fdpTskoTQakbifxk63OH+7Jk9244kCPvuY9UajnCAB7isjdeQt6xBIaOtAg
-HgAuvccT/K/TIyNjy+9zagHg74KNf1emR+OVmsf9HgVAWskzW3FyelTRPfzu
-VFMATMuvPqeOo0PDRd8ygl8GgqXCSEZ1NS3i2moT4+IIAusMBUPNUlo0RpnO
-GCEZBA+4w0kbs2jR0UMTFQmtIHD4q27aGk6LpGgsbRrcgsADMll/mdGi0Fm7
-+pjhIHir5ey1/JcGXf0k8fZXbjDU3aAz4JajQTZ6VCxfH4RAY8Nd4oQTNOjr
-kgDx6KsQaFGCz3xHaJD/U8E98U8h0HnEkVqQhAbNJiReuTAWAqOjfZWS7dTI
-tsw04eXNUNi5lyJy3o4adXRdJSk6GQaibsqH9qlU6L7C1mGybDigYV3RyWgq
-xMqb5JWpGQ6G6pbXbwRSoXhF96K2W+HwgiE4G7OnQjDPbuLhHQ6/UodvMClS
-oVEf7XjTtnAI6PDOL2imRHmhGtyBThEwI1p/Z2ONAo1t/Llf2hcJHmGDwfen
-KZC2VGCx7p9IYNn6UzrUR4HINWd1mSjfwrkfXAy13yhQ5qsMKjaFtxB140FF
-lD8FKuAaJRaJfQvn/ehZFXgokP1zx9a5u1HwcfhazVNVckRH8GmlFHoHMlMy
-e91y5MieJl+qGX8HNfPMUlInyVGHrOEwMnkHM9tt8TMM5Ei23ZdYI+odiLLo
-OF0bIkOrafZKlVQxUKh5XkDClQyx7epnz+7GgPplws2AB2RItTH0BR13LHRf
-IwmZvE2GHHa/UtspxsKWOdqNPU+GPv6R9Bx2jYUz7mc7KFjIUEvm19K43Vio
-yZPzHsshRV3XffdpqOPheglryZkkUqSqkz4lKB4PM9/WFqIjSRGrNfbV90o8
-UDXl37j8jBSJ00wxsr6Lh8tT4qcqtEjRC+eQyWCRBOjlEhqJnCBBhZ4yf2NN
-EmHWh/2sFhcJWqa8c+c1URLQeOb9iaQhQbcH3s1wcieBpJt2ytg+McpuoQge
-kU4CF3tPmmfjxKhRVZKaxyoJKIyn+3OyiJH14OWTps1JICj3xZlFhRitM1l1
-13/6CBdOXRExO0WMks6pCKlVfQQ70d9D2ceJ0Y3leTWS0Y9QzM97XoOCGOWd
-/vXqBncyqNO/ZHFrI0LJG8kBDuHJYDFjkDd8hwjRUVd8OBuWAv7jyxaiBkTI
-J2/RLLAgBbKGAjhcNYnQ5E2eu+JdKbDW+c2TSYwIDT5WIXnGmQokz7Vj/OcO
-QW15gNUwNRUw6d8d+vSHQLP4W1ip/RP4n+BVWlg9gAP6DPaX25+glVc/ya/3
-ADgGjtOoHEsDU5py+9IPB7Ddl2K6/SgNPCYDaHllDsCNqGa8miMdKqJOaswZ
-/oPxAwkpbfcMoDKetSQ++w9CPo4+187MAEP+tBc8x//BbwMFvta+DFjLIiCd
-hX04vBfoZCefCSKI70zB830QNZykUtrLhJh5NulnGX/BebA5lfV9NszkdV2J
-fPMXlAV9TO/2ZIOcc4R9juNfaItbNr9DnwNth4w5I2f/wslumnDL5zlAwU57
-Qr1jD8SHIi5N2uaCM0bMS7e3C4NnC4Tf2+RBFRk6IzS6C/cLE9ZpcvOAqcnL
-6FzNLmxJbWneWM2DHIP9dw4hu/CK+pvOlXP5MGWzzdIjsAsK9x/9lWzLh6tv
-l6jeX9qBP5EZJwyoCyHpVs6JUqkdkPu4/IpVthCW+Ww129l34GbP4BGb24Xw
-OnPOl2RsG0bOXi6YKCqEH5WTB9ZPtsHw89Vs6/tFIPX718apxC0gKxbvLlwr
-hicrEiKcflvwPq6bs4fwBcq2fW4fPNiCsW2B8ezrX0CVQrSuRXELxttrkl9+
-/QJXCc/e2XRvAn3WJ7geVgLRoq3Nel83gZ8lzf5VfQkMSgsQKSZvAnOpdfCb
-wxKwwpvuUzhswl8zGXERx1Jwvs2jnEK7CU8suCcIFmVQYWVv/3ptA5jL7/N6
-JZXBgW1V8uNfG1Dl2+TaPVoG/s8e0OLpG9DvXCodfKccYt5VDA2pbUD0aPJs
-2+MKqOgwes7xbB2qHIQ6g5q/wUH/56J/5utA+uDAtOjod1AbI5mb0lqHZva0
-iguPvkPzcpZeEfs6eD/M7RjnqoQh2r/H9QrWYK+KrH7cC4Cf9YqhQswarEZS
-CL8eArjLk/Ka7/kaDO6Q2uzyIlg+eWl9UWcNKpc8s3i8ERxqxNcEzq2Cp9bV
-so0rP+D85T87Dm2r0Jf8Y9/T/wcEGKhL3CxZhcZA+hzeyh/AZLkQJey3CitJ
-6yZIqgoEvM/cqz62CvGucZt+gtVg/So0PotiFcw15JIKrKohK2SyLXxpBdQT
-ye6ppFWDbGKQovnXFbhOzlqWKFED5ysGqf8ZrkBHvOOPJt1a+Jz1San+zApo
-3ltorPhYC1zxj2zC+VegvVig5vtWLfRuU0Rc6v4DF9w432mn14GQuyFT4t4y
-KAySpzYINsCO8fwj6ZpleN8B3+JeN0DLWa+22jfLQHS+gUxuvQGeHHwKWeZf
-Bpp/+hHiPxuhymeTDtdaAnVRtr/x6c0QbRFo1820BG7iLa7kJ1rARp235f7A
-Iiht3IrBs1qAiVwjKPzhImxsFfV1f/sJU9P980IKiwCI83qATiuU1dldrCBa
-hPwxkhdVY61gFvCWejJyAVI7fe600raDjM1JG9fbCzDfK5RmeLsdKC5+a6A9
-sQAqV84sRhS0w2faqVdyFfMQsKbRlWXRAfshshT+Y7+BbJmVYLHQCe2P6u/y
-ZP2G3u5Iw0DDLkjRM6797PQbWprv8H2q7YKLLL5+fRS/odhq6Oeb/G7gW+eY
-sm2fgyhp180W8R5Y68pSJ4qbAwYB1i/TuT0QG9VJIiIxB8bvalaKoBfsXKwt
-vm/Nwp0wfGBfrw/wG3s/9NEsCCkUL2rO9cEcl4DPs2uz0LFf1o6J/oJvu1/G
-GHhngePLZvnnnl8QOqCNp8zMgNZl7t0PAQMgn/D4sPnpDAAP12g/xdB/94Lc
-zFx9BpKkeLR4u4Zg+HZs5QbdDCwIlM6PZAyD37EfnrxJ0zDwJq8ScxqFm0TX
-hwtspoHbhMnyndwYiI/PndWUnQYaRSrD91/GoCuZad++bgpIbCQZnJvHIc03
-1Zg0bApOma6wC9+ZgGdWil/f3ZqCwODfTlkHEyAgbP4MLU6CNfOyyY1rU7BF
-sfHLoGQSlvPjuvJpp6Fx9pXS7+eTcFrex1a1dRocMvN2mFknwZ7KzHrvySxI
-Mdj7qo1NQMuFdf+jl+Zg1VGcwSl3AnzSylb+iP8Gx7OZhG6tCdDIp3Bd5FgA
-2Y/3PpOx/1c3w09+lP+/viEXVjo9MQ4Tlv9OcisvgXNbsm60xzgQnukX1L3/
-A/Jyd37VaY+DQFNVq77LCmzFHLPa5hgHF4H3f3RPrELJv+HlE1NjgHR/fmGb
-XAVXi4SnNwvGwKeZ/4Vt1hoo1huRBXqNwUnnA2Exr3XYEeMOLb80BoY2UQdn
-zDZgfV5M+3TLKGgnZrPpXN6CJ8UZptHWo2Ae7jHkZrINW55CT7aJRsHvOLO0
-gecOuGolB96MHwE1q3s0ogW7sMN07EP56RFg0cICbu/uwdOB+GKe9mHYnNpt
-tbmxD3spXE3uD4bh5rBhwUTLP9iXZ9lU+TAEZ56cdnR6QYQ8iUJpPigNAfGO
-y7Wgu8TooJGWn6h7EJZ+rvH8u0GCvCMDTt+xHwQ8Xta01YgUEd8mv1RFNQg2
-u0k19I/I0AvhF+aElAHwNfvzrT2KHJGtHDj7qQzA49xfulLtFIjCdydJ0/EX
-MD5UUeb3o0avdJxL0ul+gTKPeGPdIQ2i4lhrpkrvB8WJI0FCkXSIJnNhq2mw
-D0oyXfyISJhQkON9OnGXPjDi1xCUW2VCdGenj79h6oO3R0Z8uZeYEWPbiM4V
-jV6g8YmmyaJmQ2Exxhb5oz1wIZsK7z/Jjlgs+l2Zn/VAnrG8T7g+B2Lb7Eju
-+twNwdXu4cslXCiqUrdMTrsb3rZWBmsscSOOgOafUZNdUF92+99Z/iPonf6F
-yS3PLojOdxk70D6KuI7U7tzg6oKSEb7Ii5a8KHZKlaG8sBPiZW+b45Z8iOdz
-JYHncidIsWksS2DHUILrGSX32Q74+lTiodn8McSrWqY75NMB7o5Zbv9E+dF7
-mtNWKkc7YBtlhbso8qNj3QVP35e0g9ec1qkdVn6UlCgZeqjXDll0tArld48h
-9VZD7R+9bTBEEbtowMqHNO/oPfGlbYOTs4Ls9VxH0YUN7Q8aeCt0FdWIrd/m
-RhdfqTdROv+Evo3Ig8FmdqTDo7LZmNkCbGOfHqjo/sedufL8wSPNIJ6Zk7ad
-RYn0calLuqzN0B0UzmNuuQkGXSIuTBeaYDop90qr0jhmaE342OnRCOZhkf7R
-KuT468dOARFfGiCT/nxhdjUr/t2j+tHV5XogY8vpeRbDiwtGWp7rNKuD3/Z7
-h7fOiOA33xcJRcTUgrrUdN/GU0k8KJOU/mpHDQzQGwYEVUvjlcXXNphpauD2
-u7Nyv47I4WuQMtihVg139j8sbUvJ48LN61Xh7lXgN79uR7aigN/qVc/SL/4B
-ei0pP9y1lfDg8chw5iUE8SXEvwxllPH/dotbhxCCOsZLn+pTlfG5P/eQwPdK
-UD/61exFkjJ+hYIqNFnyOyiNbxq8EVXGS45m3BZI+gqhnnmEZB0lnE/2gngy
-cwWwbETwK7Ep4i+15/aO+5ZBOE/vJfNweXzRLKDx40YJnA3dGfHpkcMrghus
-P/YVAeMHMXvTHSn8eMr908e1C0Hg5qjszWUJPKCciuxjRT7cGKEj+7Atgue2
-hKupnskGsr1843ovAdx9t2MU58sA1UzSeEpZPlxbmMUTJ/4E76k0zV9tcOKc
-167y4FMfwZaDUevFRRa8+VDw0fOQRIhwILX6aU+D37/1KdPL4B2Qkyuk1z8m
-xsmKhKY8ecKhLZe4y1ZwHcO5dVT20EtQpU8wGdnrwVZiYq1WYx2h5sLD6cqe
-fvAgeVurqXgLI4wyIDvCCkjGWdazyT/H2C68rBh03YER7oJlWsZgLOEvZeSw
-6SFck+3/5q/6FvO7IzbxyIcElfy68eKVexyW9uhj8HQtGaJHC4QaoyRMVyJB
-UC2UAmGR2f41rilYNTNF0/VlSvTY2vZ3zds0jKpzLkpjjQolK4np1BZkYsTl
-g76RGdSom27hc21rDsZXSlQozUuDKMaymOsW8jCiIZ6mBCMalHDrtLKlXwF2
-27bkwZ4NDTqtHmU7yVKEfch0Pad0jQa1im8mWH4sxtzYzhz9X/49juutk6dK
-MJewJOaqn9SIiOjLoWVlKfbvenjSqg01iv3NJj2lU45divhXQ75FhWS6nlhY
-DVZg343yQxOdqZBVmlyt1c53TH+gQYbNmBJZCRvVynBXYZQHhhLPd8mQ1BGa
-EcexKqwsPW9dyZwM/WOs2CpMr8YEfO688WsgRdG73Cdl5WsxMy/nL0pJJKi+
-5ddr2WsNGHeGa2iDCxG67zZQbyzWiO2uK2Qd6T0EKsFBMj/SJqznqszL5foD
-uOg+5NVd1IyNu1145Fm/D/PCw1/3g1ow4euyl1l6/kJQ5/COoNVPTJSgtZGx
-sActIqOOzmxt2DMD13Aa2V2w6xnNS1xsw+4Kn3AxsdwBf9xhy8KiHXMUK0j+
-Eb8NJxYdZIOUOzBujcevPhO24L66Y+7gfCcmac5arRuwDoqxa81/DLswCXs8
-NWB1Daj+OM6TVndhTlp12Znma5AZ53RCPL4be/tO+FLKlVV4trKugVP2YAHz
-q2dI2lbgouYTKwOnHoy96taJ69dWYH71yUePS71YkrU60U7XMlRobUJYaS/2
-kOEYbfv2ErxOdB5JJfRh3Vmil1cISyCm7XLk598+jAp7LBf7n46zS3KN4s35
-hSW0aUkY18/B2a3tImmuAYy6ziRNUHAO6HTcOjX8BjDX2odT5f6zkLvtxmhv
-MohlLUtaXjKZAa/LuxIvGgYxphHi2fb/9IVuylOdaLkhTKEy0EFOcxqWdZ8F
-VtINY82LYV21alNQmbqX3uk2jL1WI/odXj8JIXvP6mamhrGXxs6Ym94knEpz
-J2X8PoL5ks2+nns4AWVelZV58mOYkrXWWY6uMUjKPPhZbjeG6eh/trF8MgYB
-3eeGq5PHsFt6PKdTucbgpij87WMYx/g+Nj/g7BqB3R5QJJodx87GNdgzGgzB
-BBHRBRreCUzqKVPVf1QITWL4DbZrExg+X5QlLzUIcT7I+SRMYOSe7mIUvAOg
-LPGjUO/dJDZLvHVkidAPp7t7oysbJ7HsgPOUzCV9IOW++Ex8fxLLWJlLIbvU
-B8KNnOpUd6awVLXA4n8evcB6174LRKexrAqNn4MH3cBA51cqcXsaO87rPsfz
-qRtoimLj40OnsZGT9Pt+l7uBiLjW0nVjGjuvXtEcldoFiwlHNiQrZ7DaY9PV
-yzadMKsu3Z+wMoMtKjx8XnusEybmNb/REGaxm/Ija5f7OuCXoqPfzKtZLDEm
-WV/1UgfUdTewvdefw5geNsbc02iHH+4jO7R+c9i3VGc9L8p2+CawMfS0ZA7T
-SJB17I9qg0KHY5+uH/mNNRqpzOpmt8IHOpfT9NO/MdUmG8bz6y0QVxTE7c45
-j7E8Xo9ZfN0C0UYf/81pz2P+fD0vKgRbIDijpbbm8zwm/jsVDzZtBrfzBEMP
-twVMxuhdbODvRnBaUFSez1rAOn8KNg6GNYJ9hC7fzeEFTOQhhfG8UiPcHXs6
-I6u2iI1txBUzhjfAVY92lwXaJUy/H8+8drUeLhNmjG6dW8JmWbKKTSnq4ULT
-33P1DkuY562gsu6vdXCO6wRlSs8SNkD/O2JEtA7Eij3fGX1YxvzXlCVecNUC
-iQv7kBX3ClZUXkD6RqwajMyzOsvkVrBDIan0paUqKLyINdLprWAz2y7wuKAK
-LI7ZlBT7r2ACTWaGDWeqoKrhWxjZxgomrAJJWyY/gKdI/9VNxlVs7ZLJaNmJ
-H+CYOOOZI7qKcb+XzLVdRyDgyGRrcGcVSxqdGgl+g8D3iJVGausqtjeuQ3Uj
-BmCIfPfMzu9VjNY6a+37GQC5lTcyOuRr2GJduvqXsUqYqik9tnFmDTOhCRiQ
-PlUJ5+1p99Qz17CUgnjs6fA3IPtR+HnSdx3bEv9e+smtAkyytT4pfFjH7k1m
-tltJV0Bx1FB8UMU6VrVh44UtlIPVA4pA2dV1zJuUJFTKohxqWY0sfU03sMZ1
-f5n7Jv/xvTUxF0FpE3PMGtFp8yyBEb1oBleDTYx6UT5rQKME5M+IkTc/2sRi
-1IjkixlKYIbx+ppj2ibm0ZysW5X8BTTLM1qqWLcwT+XA0omuYqCk0/OxWN7C
-iOpjXJRvFMHNE0ZInnob2xTg1L8qVgRZalaHNILbGEdUK+nBYSHoPnXzLLq1
-jfVXkVRSZBdC9EzSU7Labeyi6CRPLGUhCP9YfZwWv4M9Pfsvr74/H9yG/uY/
-K9nBqIVUK8m/5EPTNvmKbscO1nvU6nlxeD7YS/LYb1PsYlJVlO0mOvlQEq/2
-4ILjLnbvPLp85U0eaLhEWsxf2MM4+5kIT+JzITo88WOl5R727PqOmrN5Lszl
-pI9FeO1hxEFVR4SEcyF48qvpmeI9zCt86rp/UQ50600ZBR/7i638KFOj7M0G
-K7HT1yS3/mKvBN3uLCpkQYkmFkHCvI8F9nksFlJkAZWFdkev2D5mllv2h6Q3
-E3Jibl95fmcf6wgWeqrgkvkfT/lfam/Zxy5qD6p+/5YBvmO96o4p/7Ck5Dgs
-xzwdRsovPXT79g+z/bRHvqWUDsqRKNqr5x+G7wqrfGBNhxWNrN+vKQ8wkS90
-QrQNaWCa7RmaYnuAMZZO/T1xOg2UXQQHu2UPMZFGoUrPY58g+kos2aDOIRZ8
-PKpC/iAVVk8ySI7fPcRKRR+0qQynQsbgtvfSu0Ns+genu0xCKnCoNgtT7B9i
-mSme0gm8qbBLrlR+xIIIp1aM2fwskQJpjus/39sT4Sq0BLVRphQwGM2dOO5O
-hA8rXmLS20iG/DIBupNviXD95Z/yK1+TwdqWzkyujghfvF9kw6GbDN3to2SX
-RYlxWVnbcnPPj5Af76/ntUaMb26NksaSJkEzq/8sIxEJ7kj5usKt7wPMBL30
-+khPgg/ucbmJZHyAox5+OTUnSfAoyhD5mosfIMDkBRWtGQleu3eQ/f3tezDn
-9ULvmklwlzstbrXKieAe5XlD5BcJnl1J+5nAnAjR9J7LFTMkuJfvpZsDswnQ
-8s/96AgxKb49piR6OToBFEeeugkqkuL3Ln83kNyOB6YPzlIFqaS48v4RxN4Q
-B2KczvVqhaT4lU2Gl29S4kAz9IlpN5DiWifI0q88jwOP507B2wOkeHqv2Xie
-QhzMmT2eU2Emw+0YSYebsmMB8T9MavIkw5unDx43JMXAo2QrpilDcryNWJrm
-fHk0hDyNTQixJMfJ7ndzRb2Phs96rSeVHMjx/YDtVTa/aFg+UFANCSTHnXk0
-9T9ciQY7Y1pHxW/keBE2Jtw1FwUP2Aq7go9T4OyLwZymhCiw9j+MPr1IgROt
-e5c7lESC/205wtgOBV511a9xOCkS0uRs8l6TU+KN2bXH7IMiYXqis36UjxLP
-cLZ/uG0eCVZY2k6gPiWemk9tlkofCRY7OkYjJZT4XZGQ3JMPI8D0QRzvKx8q
-PG3wwxCVejj8/UXduvqGCg8IvhBWIB0OMdpPvUziqHCue3KXn/CHQ8fJm6PS
-RVR4CVsMq9ZBGJyfZf84NEWFP5ip/w85wkDEKlxQ5gI17pG2pGukFAYbtwPE
-hhlocKs10bWmNyEQ9nN7UOsIDV6wwWs76xACEir3ggtP0OBhZfPl4gYhYH1U
-c+kVToPHLy6mSR0JgV8DpHkyjjQ40/WH/uzZb6DyxnOZgB4afLxou4W1MxgC
-9V2UZBNocZv0uj8UZ4IgokXULieTFidlOj70iT8IErRG3wuV0uLUQq3/HlAE
-Qb7KBTKuzv/iKzFfrTtfQ78IT9s+JR0u5WOGH7V7DSdJKq3qnOjwCz61EWpp
-gVBXSB526xI9buX35fsX2QBol6io6rxJj9sSTZ6M5Q2AgQz7zUvW9LiMy4um
-OMoAWH7fZ3TOhx4/9Zi+d3vwFXAEZQoRSulx/4B1MVb/V3DX8vLXRQEGfL2d
-TvPjqP9/HBk183yPAQ9JuZJRm/YSWJa9GFgoGfGy8n5X3aiXcLzhvnwqKyOe
-7KxovOj7Es55nPVvEGfE01gf91rfeQlPpyaFmM0YcTJr4f2rvC9huVjmbnI1
-I55oKVG7EOMHi6Jzjy00mXDrG3+WtN/7wgbn8MtsHSa849PgU8VQX/hL1hm7
-cZUJz+BaNVT09gWa0a8//M2YcBa6uThbC184ERnKnO3GhHtRiD1OPOELFn/l
-C9azmPBJ6exTXF9eQF/zyxU/RmZcSKRPtGrQB96eS9S4zsGMrzGxEyJ++sDV
-guI4IV5mvOz98o4j+EBr9OT5OlFmXNfzX6d1ig/U3VGNpdRkxhPjci3Y7Hyg
-ZHtf9bUHM67xyCndgcgHoglPIkN/M+M3UbjuSzlvMIgOmjNbYcafnEiiVj3p
-DSzUKSpS28w4iHBm0Rz1hpDljtl2MhY8cfWjVj2pN/iXnzrLws+Cn8Tb79en
-PweXKwtTbw1Z8HBz1ehTS15w3d1CPq6aBY+KpiBuf+0J0YlsFNuNLLhizpGY
-ERdP6IW6nmvtLDiT5DlDYktPMCQTc6YfZsEjPjoPvjjjCTffrBd5b7Hgpj0s
-fE5LHmD0wU/6nggrTvnVvXTVwAPMq9PE5UJZcb39qkfl0u5gR7sg0GrEhke/
-Ix314X0KC08ryGjvsOGBMvHr4gxP4cFc4IzWPTY8LSaCdubADe7Vnsz64cSG
-K/IHEb8YcwOL59bSX4LZ8KZzWZJmqW5wa30cS6hkw28dUzuZJOkGmoP9Jg8E
-2PE1K1eTVh1XOJZdF00xz45LEt8zLcxxBoMPZeVNK//Fco21Jh+c4XVk1lDI
-Njt+gaLMmTXCGTbcQwQ4yTlwBgs2p0+uztCkY/j5BD8H3nasVN1I3Rlclqdr
-Lxhy4GYcXi/3hp7AT2nyzddVHHg2TfzpYq4n4F6mfo0xnhMXlbdhUctzBBmT
-9hWzj5z46jjlqUufHGH+0CQkP50T703jVDWJdwQjLZdG/WJOvCrvKyH6lSMo
-92Zgb39y4tP46M49c0fYWacX5ybiwrunGoo9WB3B5VQ/GeEuF05QHZGQff4Y
-HNLsSuRPceO/KiYYlG0dYKTtSBSDPDeuvjDQb2DhAJd3m5xmznLjn7hyB1xu
-OYCojoh09EVuvO5zmXW7lgNMrU5nb97lxq+0pTX0CzrADRWzj8UJ3Hg/UaSk
-A3oE57r1g2VoePDwvy+J9kvtgY5EwUJymgeftr65Z9xiB+WupNdmFnjw43v3
-/5BU2oH1Upv6+zUe/E1BaWxxnh2g/vtCDERH8J96wZMKkXbglBc3t8RzBGdM
-MhL6bmQHAyYH9rl6R/DKGVbD8gVbyCitdRf/dgQnZt9MkGG3BY2HBlGikUdx
-36hSfX4/G+Aq532kIciHL+TVTJr/sYYIx4Bwqb5j+NtF7jT+ECu46n9FIrGE
-H29McQ+iTLcAUWO/66mex/HeGCNyXao70DtDnRx5XQB/dIyj9CyxGbRaTKuy
-HCPgSXoit/N8TGCcLH0nSoCABzp5OSm5msBG2v08bmECvpvrfrHRzgS4FxaO
-Hpcg4Ifb0SJ7N0zAymlt+9QZAl5Tpa6QJGkCe76HuZdvEPAguWcbu0PGIPyJ
-mycwlIArlvH116sYg5LWYDtdJAGn4807TiJnDDq/E16FRRNwJ1f5HFVRY3gs
-wb/5LpGAlznwO7dzGMO3L8LtadkE3DP410PxFSO4WifrX1NPwP2MPX4MpBjB
-3fubZy80E3BHeyXTe3FG4EZTut7cSsDjQzSId8OMIFFX+U5XDwEfm2TWEfMy
-grle/OzEJAE3X44Lb75pBHtuJOt3Zwn4L2zg3/MrRkB/pCbz9zwBfxCjZaCk
-aQQyZlqcq6sEnM+jt6BC1gg0iKlbn2wS8C95bIUvRI3gZkqT384OAd+Qqwi5
-ctwIHmgEn/HYJ+CRCybnj3MZwf//++EChVFt2wxG8H8rcYN3
- "]]},
- Annotation[#, "Charting`Private`Tag$307210#1"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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->{All, All},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
+ TemplateBox[{
+ GraphicsBox[{{{{}, {},
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtl3k0lfv3x5Uh6oiUJEOSKFRIlGhTKcrUKUMiQ0WX0qVMkYRuJLdouKVJ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+ "]]}, Annotation[#, "Charting`Private`Tag$2920311#1"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtV3k01P33t2bmM5OlqCR72dosNSXp/eZJISqV6FGikCdLUbYQRQ9tksqj
+slRKtNhSlnA/mAljZ6JIGkuRLGViEPOd3zm/P+6553XO65z7uve+/rhX/dip
+fe5iIiIijcL4v7wOLfkuEAjgv1HbmOrcQnRqWjN2ekYAh4xlH6pMFaLcVwZa
+E78FELQhhBlpWoQMdWyPfR0WgNS2JQwPdhHaJBfdWd8hAK/nRave9Bcj3PeT
+fTdHAHpxny18lErRvpiG50ZHBbAEgl5mWpIoqCna50T5PLR5DkZ+bmIiDof2
+vcJ1DmRMf/ybzWtEyuQp+U0r/kCf3Vmd5b4c9NqLKSnTPQMDAQlU9oWPyOWa
+wfjHi9Nwe6bH1t+qB/ETQmMB8cFIhhuwJ7QXpUt/VkziTsJQXtGhqJIBlGxt
+4N92+TdojEa8k18xhC56uwbrWvFANVHFbkPADxQq/izIf+QXrGW47JPQG0eu
+kU0r2zN/gqfOTvYexV/oTtlAUvLJcbBxCdu8XIOHSnp06C80RkEvRk6qIXoS
+acpi8wOpw+Dnky2fOs5H+XqxJ3v7BmE64x6N2jKLelh5agzGVxhKZtxS/DWP
+BtbcMYQ3fVBXEO19fpkoljufxVgnyoXmn11WL+XE8RrG2JonE59AJI1/K1FT
+EkdtH2kuDu6AmIu1fcxkKVxp+WPPhuMdEPfGjsXMkMIitsON2bYd4DqaIcfK
+lcJh9kP16RodUGJo6fuOKYUDPQZqrte3A4Uj/6jmhxT2jO0mXdXa4ZNVhcvz
+rRRsU9+QS63hwM7j1buLOin4SnP9+uh8DgSsv2cY1E/BNZy67PlkDkQ1/f1S
+f5SCLbprX0z4cSDIaaVjgigVbxtlZXYrceB0FL+UokPF+rLlD/JOtUGM+ecF
+589QscKB7PhDS1tB+s3+R1QxAudrXS2xEG+FDQ6FnAEqgfdOn+g3GGuB5Cjz
+D/lyBL6Sqr6ZqG6B4sS6h8rqBJ4fvN1TEtgCmksnZnQRgb+Gh65b0d4MRnrJ
+6q+DCBy119GRUtkM4Qa8+BPnCaymufEi72UzRM2t1BK/ROC/a0bf119qhq4r
+fjcmbhK4cdGx8PCNzcCVu/tv1jMCew1se/qPejNcS9t++E4ugSlFSi32C5uh
+YWFAqfsbAl8qeWZ1mN0E3ANxT/MqCOy752ZSmW4TUCN2/NvfTuBMnvWPO6JN
+MPDf1hV9XQTuvSuBfT82gk5RoGrFFwIf7A/6pnK5EXB7bsmy7wSOv2xgMuXS
+CH9kX/DiRwnMXjcc17S5EW5enuwZ+EVgFOLMiBxsgEUV0bMaswQ+p7LsiiPZ
+AKHfEUkVELigqqVbP6kB/jw7cJQtRsM60haXuDsbQNqGs72dSsPHXs1/KFZt
+AOqH4cVqC2k42bFoTcJUPVSYf2zEsjQsm76aY/60HjjLmmkSS2jY2nJAWymi
+Ht7oDNOfLKPh6JHU0ImD9TBnocdXVKLh8gTHprp19XBoQRlxTJmG+ZsWaT5e
+UA+WxfQLYao0bNhdFxj2uQ4sw98neqrTsPfFS+wDb+pA4TiOWaVJwxnaSGVt
+XB30pc1fy19Jw9x6vp+kRx3MNrr3SmvR8Ar/fFa3aR3cML9eYaxNwweXeiu+
+UaiDBce93Qx1aDi+dJVP3AgbHJRmJPhCzHbtIT1YbPDda9t9WZeGJaTuyqMU
+NnxwKdf+JsTbXuzzXBrAhv1ZVFUZPRoOtqOXjtmwQZY4My8ixPmTLJmalWzI
+PfFdtFTIj3v2qHLbdC1cHGp0MBRiL+eIgNcNtWA1NrTfQ1jPctFhnTWPaoHN
+NRNxEOpb+W5z16PAWnhBee4pLtQvck4hTnFXLdibSd4/Keyve+0vHK9aC7Hz
+555e1aDhEm7jxAJeDViHVzxwV6PhxDvPM8JraoCn+HfylHCe/laxh3jJNZCa
+zcnHwnnvmXOje/nVgH3vIhEs3MeaPDPgWtSAYPe1dJ48DVPcVfwdl9cAcewW
+eUSOhvuXza5sGq2GwM57588J911R39FhUVUNeqxQqrXQD+c23DQ18q6G92Ic
+m3mhfw4O+oxn4WqY1QoK4M4Q2CjZOl1NoRr25XzYdfY3gX+IS1Cly99BZmqD
+asYQgWsKv7yNTngHKLXy7V99BH7iVeY76/FOyK8yj/tEYOe2QM6gzDsY5Zkm
+aTcSeEvM/pij/SzQahszCXhH4KUm+lvai1iQf+dhgE85gZsfDaVVubLAhO70
+zOklgc39D3ulvmLCLtPGbxoxBFbRMlZRiGWCspYzpyiMwLMfFVquHmZC0R+Z
+jZN+Qv+bNTFCJJlgzEw75eFEYC05c7EDDlVwzjPk7TI9AouxVF6zV1eB5J1O
+/sAKAvcEz54wE6kCkSm7wUMyBE76UtCwLqsSWqKcMWOCiolc7bvU2QooCD7R
+yXpDxV+PS9hENlUAo0zVrSGDiquWcucn0yvAXj8qJDyRisMi7rn121SAIk9n
+7sNZKh7dvVAfUkmYdV/85OpaKn7SNXB9KLocLNI40v43KLgzbElailE5LFA0
+JQpCKVhaZWeuXW8Z8DMCb746QcGBLpmtxagMVvc/iRndRsE7Bk4uvTLzFpzc
+d6z0/i6FB0fHHuidLob+58EBBxlSWE9s5pWXUwEw/BaeUsmSxEfsVhR0HX8M
+qb2ldl8YYvjHxG/jAGY6OC5dfoiqJIbDEptAelU62F/2i10vEMXJXRfrzL4+
+hCHVtxsCq0VxQV0ra09LKlSuYXwWOIjiHJ635mDnbRihnTFJCBHBkRwdjlKV
+LXg/l1g0HD2HionQ95UB6WjjKrfCeMEkerBWoS1H4zGy3uJXeLl2Ev27N6c5
+uekxOnQ2xDvv1iQ6kNhXF6ibgYLfTzGv60yicXWbSr3uTBTde0M+4sBvpGWs
+nJOwPRtReK0pLq8nUO2ro9vzLhegrtHBAv/742gra02V9pcCtIlfKePrNY5y
+26fNUhmv0Y/ZHsu7JuMocfoWutr3GonK1H+bKxpDbqhmi7tpIeIqVvtQzEaR
+gK1voPizGLk+0uG/PjaMNvaKqlxwBGT/+Sg68n0ArStx+KmfBehaRO2nf+4P
+IK2El8wv04B+8rIDK2wGEO3hi40PbEmkyff22Jvbj/7sdfwkGCVRYds/1/rP
+9aHu3BxdMKhEjf6bk9KUuSjttDPTtJCJmPnJ2y3XfUSa42+nt1TWosURHrct
+NCpQWMNf0byRWgSrUFrMIhK1P6uTzlZkoyuzSnuSpMrRFfcuTXU/NhosXVn4
+UuiM8c4ZWym1OrQ1JYJ9OzIPlbOMH7WF16PDg+qVSdfPoL/vF1p7Gzeh0m2C
+8PqpMrBK/9iw27EV9UlFah/ufA/jl7I9WD6tiEhvPiFv0Q5JnlECk6hW9E76
+SE9ATjsMrl1roJvdik7ZluxnRHVAbFHkbXGJNkTfwzEv0foINQ3aTkU5bYg/
+WWRm5PwJdvIDBtWl3iPzFSfv/7bkgoXtIvHfrzuQj2L8KjW5b3DjaEekfuEn
+tOOJtv9lm3Go3q28cO8iLqpevCm+sYwHI+oK51vv9aE2U7HdQUf4EHB2teuN
+JV9ReWaS24+YWej4JLvPo2YQ3fSidvBT5sElZOs3KZth5JCi0CGXIkJWrd50
+pUpyFOVYnywSfBMltailg48tx5G+s1qwkYQ4qVzqZSEZ+xON6V9XH14gQYrM
+iGX59/5CUyVpRoguSU7ZlTmzVvEQez8zYPe4JNm14ajSqujfqLL3qrj1hwXk
+aQdZOY1Pk2hpmIRDcLYUqXi731FCmY8uRMrbBnpRyGynB08ngqdRtd4e15a1
+VNLBNMKypmwGFe5tarfppJJ5zj4aW/7Moln+xiOVoQTJJ/4SL7afQ4a6kiKa
+mjRyX4sJQzlpHtVuetafUkQjCRNaRWnKPNKZeBy6+i2NrHjcuetw+jxqN7FO
+LiqjkfrBIa73s+fRkXvbQlsqaaS0auE1RdY8UvnvdMFcPY2s9TbsUxDeleQI
+bMZcGokpuvHSNgJk7vvqmS+VTvL9+Muz7QQopLCqeoRGJ3O6qp/YOghQ4Kkn
+Z7yl6aRKjsfba8cEqNgtLNhzMZ38Y//4KxEiQFfcGrc4KdPJwnRVU6kMAdKd
+8mWuNqCTvgvHqjOeC5CxqDw33YhOagWV79uRJ0CWC+bjlBh08rb1Ec9LpQK0
+XtkkjWpCJ/1/3rsl3iZA5/uu3vmynU7qOZ1USf8gQM8Lr2L7nXSSyzTOMv8s
+QAeLxc7XWtHJvUkfyi8MCdDWbyO5ubvpJEUs00p9TIBSXr3M0LSjk+AVxCF5
+AtQ3Ero+cT+dDHy/46jLjACd23h+F+Ugnfz/fwZ5LemcCXGkk/8DRFly1w==
+
+ "]]}, Annotation[#, "Charting`Private`Tag$2920311#2"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtV3k01P3/zc6YpqGZ6SlLtpQ1lQjxflsqCiFFUSpPKUskS1KSSrRKiKLI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+ "]]}, Annotation[#, "Charting`Private`Tag$2920311#3"]& ],
+ TagBox[{
+ Directive[
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]],
+ LineBox[CompressedData["
+1:eJwtmGc81W/cgOmYx+l0yJaTESFJEhn1vZUkWSlRKlRUMvorowiZESUiISlK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+ "]]}, Annotation[#, "Charting`Private`Tag$2920311#4"]& ]}}, {}}, {
+ DisplayFunction -> Identity,
+ 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}, DisplayFunction -> Identity, DisplayFunction -> Identity,
+ Ticks -> {Automatic,
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ MachinePrecision, RotateLabel -> 0]},
+ AxesOrigin -> {0, -4.225253979208682}, FrameTicks -> {{
+ Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
+ MachinePrecision, RotateLabel -> 0],
+ Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+ GridLines -> {None, None}, DisplayFunction -> Identity,
+ PlotRangePadding -> {{
+ Scaled[0.02],
+ Scaled[0.02]}, {
+ Scaled[0.05],
+ Scaled[0.05]}}, PlotRangeClipping -> True, ImagePadding -> All,
+ DisplayFunction -> Identity,
+ 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,
+ "ClippingRange" -> {{{-1.999999918367347,
+ 1.999999918367347}, {-3.597953707140854,
+ 7.693451190080213}}, {{-1.999999918367347,
+ 1.999999918367347}, {-3.597953707140854, 7.693451190080213}}}},
+ DisplayFunction -> Identity, AspectRatio ->
+ NCache[GoldenRatio^(-1), 0.6180339887498948], Axes -> {True, True},
+ AxesLabel -> {
+ FormBox[
+ TagBox["t", HoldForm], TraditionalForm],
+ FormBox[
+ TagBox[
+ "\"\\!\\(\\*StyleBox[\\\"\[Chi]\\\",FontSlant->\\\"Italic\\\"]\\)\"",
+ HoldForm], TraditionalForm]}, AxesOrigin -> {0, 0},
+ CoordinatesToolOptions -> {"DisplayFunction" -> ({
+ Part[#, 1],
+ Exp[
+ Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+ Part[#, 1],
+ Exp[
+ Part[#, 2]]}& )}, 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]], LabelStyle -> GrayLevel[0],
+ 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 -> {All, All}, PlotRangeClipping -> True,
+ PlotRangePadding -> {{Automatic, Automatic}, {Automatic, Automatic}},
+ Ticks -> {Automatic, Automatic}}],
+ FormBox[
+ FormBox[
+ TemplateBox[{
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-1\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-2\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-3\\)]\\)\"",
+ "\"\\!\\(\\*SuperscriptBox[\\(10\\), \\(-4\\)]\\)\""}, "LineLegend",
+ DisplayFunction -> (FormBox[
+ StyleBox[
+ StyleBox[
+ PaneBox[
+ TagBox[
+ GridBox[{{
+ StyleBox["h", {
+ GrayLevel[0], FontFamily -> "Arial"}, Background ->
+ Automatic, StripOnInput -> False]}, {
+ TagBox[
+ GridBox[{{
+ TagBox[
+ GridBox[{{
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.368417, 0.506779, 0.709798],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.880722, 0.611041, 0.142051],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #2}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.560181, 0.691569, 0.194885],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #3}, {
+ GraphicsBox[{{
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {
+ LineBox[{{0, 10}, {20, 10}}]}}, {
+ Directive[
+ EdgeForm[
+ Directive[
+ Opacity[0.3],
+ GrayLevel[0]]],
+ PointSize[0.5],
+ Opacity[1.],
+ RGBColor[0.922526, 0.385626, 0.209179],
+ AbsoluteThickness[1.6]], {}}}, AspectRatio -> Full,
+ ImageSize -> {20, 10}, PlotRangePadding -> None,
+ ImagePadding -> Automatic,
+ BaselinePosition -> (Scaled[0.1] -> Baseline)], #4}},
+ GridBoxAlignment -> {
+ "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}},
+ AutoDelete -> False,
+ GridBoxDividers -> {
+ "Columns" -> {{False}}, "Rows" -> {{False}}},
+ GridBoxItemSize -> {
+ "Columns" -> {{All}}, "Rows" -> {{All}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}},
+ GridBoxAlignment -> {
+ "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete ->
+ False, GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
+ "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}},
+ AutoDelete -> False,
+ GridBoxItemSize -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}},
+ GridBoxSpacings -> {
+ "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], "Grid"],
+ Alignment -> Left, AppearanceElements -> None,
+ ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction ->
+ "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
+ GrayLevel[0], FontFamily -> "Arial"}, Background -> Automatic,
+ StripOnInput -> False], TraditionalForm]& ),
+ InterpretationFunction :> (RowBox[{"LineLegend", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}],
+ ",",
+ RowBox[{"Directive", "[",
+ RowBox[{
+ RowBox[{"Opacity", "[", "1.`", "]"}], ",",
+
+ TemplateBox[<|
+ "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>,
+ "RGBColorSwatchTemplate"], ",",
+ RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+ "}"}], ",",
+ RowBox[{"{",
+ RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",",
+ RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",",
+ RowBox[{"LabelStyle", "\[Rule]",
+
+ TemplateBox[<|"color" -> GrayLevel[0]|>,
+ "GrayLevelColorSwatchTemplate"]}], ",",
+ RowBox[{"LegendLabel", "\[Rule]", "h"}], ",",
+ RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& ),
+ Editable -> True], TraditionalForm], TraditionalForm]},
+ "Legended",
+ DisplayFunction->(GridBox[{{
+ TagBox[
+ ItemBox[
+ PaneBox[
+ TagBox[#, "SkipImageSizeLevel"], Alignment -> {Center, Baseline},
+ BaselinePosition -> Baseline], DefaultBaseStyle -> "Labeled"],
+ "SkipImageSizeLevel"],
+ ItemBox[#2, DefaultBaseStyle -> "LabeledLabel"]}},
+ GridBoxAlignment -> {"Columns" -> {{Center}}, "Rows" -> {{Center}}},
+ AutoDelete -> False, GridBoxItemSize -> Automatic,
+ BaselinePosition -> {1, 1}]& ),
+ Editable->True,
+ InterpretationFunction->(RowBox[{"Legended", "[",
+ RowBox[{#, ",",
+ RowBox[{"Placed", "[",
+ RowBox[{#2, ",", "After"}], "]"}]}], "]"}]& )]], "Output",
CellChangeTimes->{{3.871624407919861*^9, 3.8716244955603247`*^9}, {
3.871628888535161*^9, 3.8716289223051*^9}, {3.871629457518793*^9,
3.871629525242256*^9}, {3.8716296137151327`*^9, 3.871629625997673*^9}, {
3.871629704200838*^9, 3.871629853550775*^9}, {3.871629898460318*^9,
3.871629914537928*^9}, {3.8716299451102247`*^9, 3.871629954339423*^9},
3.871630097238586*^9, 3.871630131562233*^9, {3.871630181745326*^9,
- 3.871630258132637*^9}, 3.8716304351074743`*^9, 3.8716330652711782`*^9,
- 3.872233200053898*^9, 3.8722346935680523`*^9},
- CellLabel->"Out[54]=",ExpressionUUID->"15c08e09-69ae-49ce-bca4-734d90c2d092"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"Show", "[",
- RowBox[{"p2", ",", "p6", ",",
- RowBox[{"PlotRange", "->",
- RowBox[{"{",
- RowBox[{
- RowBox[{"-", "10"}], ",", "30"}], "}"}]}]}], "]"}]], "Input",
- CellChangeTimes->{{3.871630257338043*^9, 3.871630260657209*^9}, {
- 3.871633084735176*^9, 3.871633098326951*^9}},
- CellLabel->"In[55]:=",ExpressionUUID->"c241bd5e-e38f-4710-8e5b-f8e7f5db0d5e"],
-
-Cell[BoxData[
- GraphicsBox[{{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
- Opacity[1.], LineBox[CompressedData["
-1:eJwtmmc81+/3x22y994fIqJEIvJ+l5CIkigrCakkkT2yR0lkZFWiZG+Kyrlk
-Zm9l7xnZe/y/v8fjf+c6N85147pzXuf5fDwuIYvHelYkREREvv8d/6te01dW
-Dg8J6PKFteBXLEYw5cG+3r9HQEcc+2h+8hiBDuPw5pdtAjq9Nfdoi2AEgor2
-+49XCchI63KPvZwR/Hz+mmpkioBez6V7RtwwAirpXn7UTEAZ4T5aL+OMIPqp
-uZZPIgGJ/KT7Ei5kDFnEjh+JzhCQoD7eqIabALmVxikuU2HEUS+rqb1oBiy/
-a2xTIoWQ6x+1h+6T5qBXlXD3WIMgMs6vWtf2sQCPf+dsI8YF0E3xKkKzvyV8
-dUl4kKfLjyTWl8/WFluDsOWTT78v8SMduzOrVGANL69eGiG+wI+qF/M+6P2y
-BotjGzf05fiRF7ju7AxaA03/tfPbnPxoY6zwSjLlPTBTOcKpOsaHbjXTiKqa
-3ANScteanqd8CONdcOKksQGd1zcED+J5EZdzAneUz31wP8WgqRHFi76/WOuL
-CLsPaR31TyLC/usTpTK/ibsPB8zKVcLPeNGbc0uUP/LvQ06UsLWGJS8SeUj2
-9/HofaCN+ZcVIc2Lxm7a17lefAANb0LPEKp4kMdB8Xk9poeg8faHzqW/3Ejv
-Bh8Lod4Wll4O7JFNcaPt5CTNsG5bSPDezawc5kYagafGDsZs4e9tRUqlTm7U
-U1pmQnRgC6+FS0CqnBthTTyPneQewdDn7JMsIdwo5FHV3InUR+BcmMg8ROBG
-UVijv1iIHaTVufU4GnOhi1tGzeKK9hB/ylk1Q58L2X46eWvwvD2EvXXIH7rC
-hfpv/5uJu2wPDo4Pn2viXChvxOKUqIk9nBMwVREQ5ULWgrsXop7ZQ5czntaw
-yImuu2xLNtXZA8lRSmchP04UtJA7PGv6BMwCotla0zmQE5FOcGWKA7RgG5Su
-KRyo4qg9aVW2A2C7hjuCSRyow1A4sqnUAQQdeIYdXnGgHzIkZFsNDjB2OyWd
-3ZkDuRJ3nitYdQBrpXwlM1UOxNCn0Ves7gh2K413FgbZkUzqAM2FVUfwNifN
-pWFhRwq2WX5ZNk6Q36oR3kXLjggkMUPw1AnGVMLs3lKwI295fZchHydQ52M7
-cWKHDR2of395Nt4J6PuO5uuNsiFBydzYxw1O8O765cL4PDake+5WdK+0M4B6
-ZKmYNht6wsNfsnHoDCsl3bFLamyIhzzP9gGdC4iIcruUYWyoY2dyfZbbBUJI
-U89oybKhBubOYlp5F7iKir/acbMhP3ESuzFbFxhR/F1eMsOKZlUum/YPuACR
-lACoBrIiHRMjCdtaV/BkP28W6M2KTpD/DqjocYXNQ4v9WhdW5PVLnlJo2hUW
-O9KULj9gRQGVx/+wU7lBv6v016u6rCitso+x/rIblFafKzDlYkVx7rIq+p1u
-8MjEJNUlhwWJdlPOlC67w4ya94WyNBZkd2XM5SyZB1ieSB7dec+C1sYeiLaz
-e4ARyYSA92sW5Bsupaqg7AGX0h8mBbiwoJ+vOVyWgj1AZM09JvI8C+KQO14v
-SPCEvhfxwVndzOjbvJm71n0v6KwRzDZvZUZLkkS0h55e0HT4uY3tFzOqUEl0
-qI3wggrHUi6f78yozjTpWORXL0gx7szST2VGTuuVclxHvOGBJF3bvj0zagtq
-o6TN9YbdBh/Oq7TM6DR5nKMImQ+skVGdI6dgRoHtz08aMvjAosqrO+WHTEiy
-YKsghtsHRgrfZoqsMiHndY+L8jI+UJ1Qrrz9hwlNplB4U972gbAHa+Ypn5kQ
-zY7Eje3vPsBLbZOxdoEJsY/KfIr38wWziqYwYWUmhDeriHpE+MIHBxn7q6eZ
-0IHljZOP3vnC0f4d+WwxJvQpF7/mX+4LJ7JfVt+lZUJajBw57qu+cEGnaLij
-mxEJxBZt5dj4wf3XB2wFNozoh/IziTVzf8hWv7s9dIcRkRSdtuB/4g+LO3UD
-tMaM6CClYsTE1x8c7kam2lxhRB1V8Wc5UvzBU05ERvAUIyrk9ZEMnPAH/pyo
-OP5NBmTxWUzD6lEAPDwtQd7Py4A8Yxl/4xGB4EBe9tmZgQFJnT6IGEsJBPdu
-jcvMJAyIdbHSJ6kkEJ47Wb3SnKZHDkXBObf6AyGzJJnrawE9stPyWNgXC4LZ
-0xzSMer0yJKVqZm1NgjuyZMZ6trTofwC3TN17CFgRxG1PWdBhzL/3e+rPx4C
-zj1CSUE36NBzjnM/Zi6EQJAzNvrjLB0aEhcQCngcAmml7g+Pk9OhOYeiNyca
-QmBSfvnZkQRalEMblh4WGAp3zwylV1XRoFWHV5Kc7C/AOv2MgfoXGuRjZ8Xw
-WvoFPOCKJP2VSYP0LnOfk9J4Afa7qmYtkTQokp7/fr3rC/CEDJY/t2kQgYdQ
-Fzf4AqI1nLwXd6lROsOfqD85YVBrSKvPJUeNGoPimL49CIdf9VbESWLU6ECk
-gGg4OByaFCGXn4cavfycv338Uzh08DgcESGhRmrxorqXRsJheLi3QrrtCDra
-MpgYePMVbN1LPXbR9gjiukFFUiQeARKuZw/tPlIh4yOvD1NkIwEN6kiMx1Kh
-rUFF7wz1SDBQvXvDMJQK3RpgLmq9FQl+9GFZmB0VKpHOMPb0iYQ/HwcNGRWo
-kNa9zgSz1kgIaffJL2ikRNR/yzhDHV/DlETdnbUVCjS6LmHzpTcKPCP6w2wm
-KZBGJxTp/IsC5o1/XwZ6KVDIYy4dRspoUKnkpK/5/t99m3ZK1jPREGP4oDwm
-iAJV7q8SHYuPhosBdCxnuCnQ3ubN5hmrGPgweL3a7Tw5wsVmmyhF38CpiVM7
-XXLkSGqZ/kQj/gaq55hOnhQnR6ZVWf3I5A1MbbYmTtGTo6r9msOLMW9Aglnb
-8foAGTrPEnymgioOCtUvCku5kCEfzSMZ09txoHqFcDPkARmaC1L0oeWKh67r
-JOHjpmRou8GQ0lYhHjbM0Xb8RTKU1JHjPugSD0oeyu0UzGRojHqvOGE7Hqrz
-5HxGskmRjIvMNvWRRLhRylKqlEyKAibxUZHjiTD1fWU+NooUBc1VffHXTQSq
-hnzDK+6kSC1XmZblTSJcmTh+olyDFLkQhwyHHUuCHk7RoagxEjTKob0Rb/IW
-pn3ZlDU4SRDUFJk+J0oGaq+8f1HUJKjlR+sYB1cySLtqpo7sESPDPeGQIZlk
-cLbzonYfJUYqtxnJuS2TgcJ48nd2JjF6q5pPMGtMBhG5Eifmc8TopWdES92n
-D3DphO6x2yeIkc2mssCFnx/AVmJ2IEuIGIm5flcmGf4AxYJ8F9UoiBFliaav
-IVcKqNIFMru2EiFVsnO+9pEpYDGlnzd4hwgpmajHKkekQtDoooWEPhEKTTtu
-EFqQCpkDIewu6kSoUoPG+HhnKqx0fPdilCRCDGPBm24cH4HkmWZc0MwhiDwr
-ojT4+BEwmdn2a3SHoBEuxaHY9gmCxPgU55cPYOCxFXng5ido4buWHNBzAFbk
-+tvKAmlgRl1m9+X9AeyO5WlvPk4Dz/EQGr5TB+BdpdJcxf4ZymPE1WYM9uEM
-/Rk2TY90oDKevkusvA+8ftt3NTPSwUAwzY9baB/Su28St/Smw0omAWnP78Eq
-6Vt9W/kMOIb4lQqe7UFtsNGkwk4GxM2xyrin70J7VbQTy7ssmMrr1I16uQs0
-t15KWXVngZzTa7tsh11YXpeUvkOXDa2HDNlDyrvw4oe90d1n2UDBRiOm2r4D
-/B6atOMPc8AJI+aj3dkGpmvM7W/v58FPMqQkOrwNLCopCdQ5ecDY4G2kUr0N
-BS3ucwbLeZCtv/fGPnwbkgoruXVV8mHi/iZzt/A2/KtaQtKt+aAXvUD1TmsL
-pEzGeq4fKYTkW9liX05uwc6DalkW2UJY5H+o3sa2BUdOiVbbmBbC84wZf5KR
-TdCj27s2VlQIlRXjB9ZPN4Hpn/9Za5siODn7Z+3E2w1QyiiRK1wphqdLUsc4
-AjZg41f6ky5CCXzd9DU9eLABVWorslk3SuA8hURtk8IGrJqGTgV8KwE9gvub
-+13rkH27ZUQ/ohRiJVoar35bB0yCMyiorhT6ZYSJFFLWwXs+Iz7ssBQs8QYb
-Cvt1eEgeQxB3+AJOptxnU2nWwWpjPE3Y4iuUW9rZPV9Zg4XRpU7P5K9w8PBn
-ypM/a2B2cFOgc/grBLk/oME/r8HVL6Rlz++UQdyb8oGBC2sgqDFPaHlSDuXt
-Rs/Y3Vdho+bj+dDG73DwO7do33wVHpib5ubz/oALIyQzExqr0LktOqP2+Ac0
-LmZeLWJbhejE2pIhzgoYoNkVulqwAg0eOgeD3gCCLLoGZ+JWwL5sQjJoAMCK
-O/U5/7MV0KbtvbbJh2BRXGv1r/YKSKe+MOL0QXCollgdOrMM2RK/Rpd1K+Hi
-lX9b9q3LMKDif+geVAkh+qpSN0uX4dLv1kDuikpgvDsfczRgGR5xqQx+P/kT
-hH2U7lUJLMPTNOlkH5EqsA5+lZhJsQx/fi3R5lhWQWb4eGvkwhJsDLC9Vkir
-Atm3LxTMvy1B1S3V63FS1XCxvP/IvsESHJPkJ6nWqYHczE+KdUpLcJurL6no
-Qw1wJj6+Hym4BOQOsUKlGzXQs0nxWqvrHyhGTf3DP9eCqIcB49udRWg09HX9
-IVIPW8Zzj2WqF+EEIbA9/Hk9NCl7t9a8XARej0gtsdV6eHrwKXxRcBFMn4XS
-8Tf/gp++67S4xgKYSvdthXxuhFiLUNsuxgX4eeo67/LRJrivytdk0/cX9Cse
-10tkNgEjudqLyEd/YVYqq+rb92aYmPw9J3rmL5zL2Hn4SLsFvtbaXi4n+gun
-iWrefhppgdsh0UfGo+ahYUip+AdNG5y6L37fxXQemjzvfLlo2gYUl7/X04jN
-wzczrg/PCtogl2YiWK58Dpqps59GW7TDXrgsRdDILNyLuzKgOt8BbY/rrLgz
-ZyG2SyfFxqATUq8a1+Q6zsIbvxs1vjWdcJnZP6CXYhbeXTj72DK/C/hX2Sce
-ts1AnNrjY8nHu2GlM1OVKGEG2DyoJUtyuiE+poPkmNQMbFr69bpDD9g6W1v8
-2JgG48vfByqu9gJuuFN5DU1DzBJFNOlML8xwCvu6X58GJTF2iaVjf+D7dskI
-Pd805CpbkN7s/gOv+jTx1KkpkJ+k8j0f0gfySU8OG92mQLYA+dhQDPy3L8hv
-m6tOAX9cfWxKxwAMmsZXrNFOgXXGZP/N9EEIEKj04kueBDtqBb33DsNwk+jG
-YMH9SRB0RKGY3AgcH51RVpedBI5vwzQqJSPQmcK4Z1c7Aa5/HnIQN45Cmv9H
-Y9KICYDCocw08zFwt1T49ubWBNQGdujzH4yB8FFzd/R3HIb5y9xy9CZgg2Lt
-j37pOPBZ7wasU0/Cr+lgxdln45DonF/m0DwJ9hl5W0ws48AZzkB54DgNJ+nt
-/C+MjEHJDxFxysszsOxwnN4xZwyu/j7ZVyE5Cw7KGYQujTEgM+9xcmebB9kP
-93LJ2MbAkHH1nIbAX1gjP6p4emwUGJuI1w0UFsCpNUUn1nMUeiNEOT8k/QN5
-uTt/ajVHoQlutAg5/Tc3cQKWm+yjQN1MfOtAdBlK9wcXxSZGgHWM4dv70WVw
-sUhyu1kwAk38uf3N6SugUGdEFuo9AioLX0nNPVdhS5LrVZnWCNyv7Vg+Z7oG
-q3OSmqebhsHsPh9n9+UNeFqcbhZrPQzZd8Jlym9twoaX6NNNomE45HrLqua+
-BS4aKaE3E4fA4EtWPMrZhi1Ggfdlp4dAcjQpMXx9B9z6Eou52wYhq1yyTfz6
-HuykcjZ4PBgErbQyW6H6fdiTZ14/934AhDw2PN2eESEvolfU7xUHILX6Aqm8
-BTE6+EUjSNTVD3qXxHZwfRLkExVy+o5dP4g6KIS+MyBFxKbkWj+p+iG1xaLS
-+D8u8jvqZ05I7YNDJvqrYRHkiGzpwCngXB+EvdPW1WigQBT+W8nqDn/gLFc0
-eZ7nERSs7VT6mfYPFIhnY482qREV+0oj1effcMc3S6I+lBZRZ8xvNPT3glzq
-qy2VLQb0wsGG9rhzLwTGDgokzzEiWuVJoZeMvWCkZVoDk0yIoXVIW1etB8rY
-x0JDiVhRRJyxRf5wNySKYaal/GyI2eK3C5N7N2TXXMON1dkR63p7SmduF1xv
-M/pnnsGJYip0vsppdgGbI0O69xAXYg9pbI4Z74Rzn7PCVRh50Jtrl8Y3vDph
-0QBR9irwIk6emi1Dzk6gKf5nzXmND8VPnKcvK/wvB1bLXipe5UfcuRUE7isd
-cNyYz++TpABKclFS9Jhuh+lN3tbmHgHEd/6rzoBvO+yXnPTyFxJE76hPW57j
-bQdXg78U304IIoGuArd3pW1geU+EPIxWECW/lX51eLUNZJR6RxeMBJBqi4Fm
-ZU8rrMaJ0t6i50fqd64+9adphZppbscSHl50aU3zvRreAr8aZ1uUH3Khy8Gq
-DZROzdDsYjaoPMWGtLnPrf/KaAK9v9R+H12ZkE6OvGDYUCOU7kU51opSoWv4
-SS0dlkbIY1P/Lp6/Afqdx5wZLzVAuXJJPj30YwbWhA8dnr9Aaj+w6VCWDH/+
-xDHkdUk9lC5MsiJRFvyHZ9VjvcU6WJ+p+bg7xouLRN1V6bhdC0a2m0uvWsXx
-m++KRF/H1cAa/oRag0Yaf5FBSqfXXg3M4ltl917K4BXF19eYqKvBdLf1kHhO
-Fl+B1P72C1Wg36j6r4FCHj/auPoz0uMnqOrZCY62ncFv9ahmXiuuhD2BL0JO
-Cop42GhUJNMCgo4bAVGjMmfx/7LFtV0UAR1ZzvPHpWfxmX/3kPCPCmjVoB4o
-qD6L61JQvUqR/gFn/W9NPTY/i5fyppsKJ3+DiWOfRMReK+L8speOpzCVw9Ra
-fugZawU8UHNmR8j/Kzy0T1fqnZfH/94O+fVhrRSu5B8WLsiexq87i8cJWZfA
-p9Dpj2u6snh5WL31h94iWKtWStq8KoMLpdqcFtIshDyuHzlBL6XxkDIqsg/l
-+aA5UaOQ6C2B5zRFXjivlAUkabsPnjUI4x7b7cM4fzr4j9SfPx3Gj2seZfbC
-iT9BqdzNBhlmTpzjuh43PvEBBBYINYqnmPHGQ5HHz8LfwpRexYk3o0dwm1uf
-Mrz130DryzvGZfFEOFmR6IQXdyTU012f1yNbxnAu7XM7KBD2NI/Ohr6rx5bi
-4i2X4x1g5B//2tHIUfAkia5RV7iFRTf39Jmj/zgl4W4dq/wz7KVQ0PBF8l0Y
-4ipYpGEIw36z/3xsO0GErsv+/h50Phqjp4/u8HhLikr/GPoFeyRgflcWky9X
-kyM6NE+oNkrGuL8eXvJ7RImwqKygapdUTDhQvb0hiwo9sX44Wx2dhsWO5Tp+
-f3UEpShKatcUZGAtBUc95/7z3i7a+dyalmzskKnK89CHGlGMZDLVzudhj4l1
-L018okZJt06fvRtQgHFOywf/fU+NTqvGPBxnLsJc3TMpyV2oUcvx9aS7H4qx
-X/oj9KMy1Oge+42W8ROl2Dszw0mRniOIiKjk8G7FF+zalztxYTZHUPwsq8yE
-dhlWaLTiTr9AhU51PrWw7C/H7rpG629bUyHLNLkay60f2LFr/P1v1CiR5VGj
-mlNcP7HIstWmN6Nk6CQP9ZDDyE9MberFV2JNMrTPUL5R+LkKo7uW/EOlkBTF
-bnOJy8rXYByks206YSSorunPc9nr9djzu6wP9+8RIRvXvjpjyV8Y8250Lu+3
-Q6AS6ScLIG3AKmjoJ83zDuCyx4B3V1EjJpZzQ0u/aA/mjg5+23vRhBVU7ZX1
-/fzPKzoGt0QsmzFG58gBhf4daDo27ODE2opNvlAqLxTdBtvu4by3f1uxIdMR
-fiPDLQjC7TcsLNow8+mDrtWITRD7ay/74mw7xhynaLvMvQE2qg45/XMdGMmP
-d1UxfqugEL/S+M+gE7topVxz5+8KUP1zmCOt6sRmf3h0kJusQEaCo9jxxC5M
-3KRAeUhrGdyXVtVwym5s7PDs+8TGJbis/tRS37EbM94jw1WvLsHc8tMPnlo9
-mAjTdNJayyKUa6xDxJcejJgqR1RjdQGev3Ua+kjoxQo/mD7pFlgASU1nnubd
-XozhxKuTZyPmwTbZJYYv+w+2fZX0K0PNDChvbBbJcPZhzhyTRPTCM0Cr7dqh
-FtCHXWSXWOgImIacTVcGO5N+LNeNyrHUaAq8r2xL+dX3YzICmXK3/+MNnVQ3
-7Vi5AeyU59nPYxcnYVHHPbSCdhDLLrsllXV+Aio+7nzucB3ETh6k0b+qHYfw
-HffaqYlBjOxbKfEL3XE4keZByvBjCAvsv9Yq+GgMvnpXVOTJj2CZnwTuBXeM
-QHLGQXOZ7QjWzNDUOew4AiFdKoNVKSPYGFvVpATnCNyUgN1e+lGsUky47lLH
-EGx3gwLR9Ci2z+Co63p9AMaIiC5R841hFpbWtY+gHxokcUPW62MYGXDOF5/o
-hwRf5CQOY1hm9LZnLG8fnJWqLLz6ZhyjcJZD8YTfcLqrJ7bi1ziGnlYwVJX0
-wkmPv+7H98YxcYORnG+Xe+HoLw5VqjsTGGWM3Zcfnj3AYmXXCRKTWKbQb63M
-gy6gpw34ImU6iRl8iLb9+7ELqIviExNfTWIpfvrXbl3pAiLimrsua5OYVaXv
-6ccfO+FvEs+adMUU9iD+nVvb/Q6YVpX5nbQ0hYWYVKylC3TA2Jz6d2rCNCY/
-xkwj29sOfxQcAqaCp7Hd+7Z3jmm1Q21XPeu7azMYUYp9uL5aG1R6DG3RBMxg
-FZp1V20p2+C78NqAW+kMlhVQdK80phUK7QU+3eCZxTZ/RD06mdUC72mdT9NN
-zmJVMneDJVebIKHoBZcHxxzGqYAbdj9vglijD/szmnNYb9urpx9FmiAsvamm
-OncO001Ts3I1awTXiwQDT9d5bMFvxd5t9hc4ziucncucx3Tvsz1qivgFdq91
-+G8OzmNt4RdQv+IvsBpxm5K98Bf7NXrBiySyHvQ825znaRawqsA3TZf06uAK
-YcrolsoC5i911Fifog4uNeyq1NkvYNZWF/sbvtWCCqcYZWr3AsaaspHQLVEL
-ksVeb4zeL2JCYmw/3DlrgMSZbcCSawljMnvUHSxZBUbmmR1f5ZYw+r360pmF
-n1B4GftFe3UJ05grPPKo4CdYCNwvLQ5awm6PLdJWK/2En/XfI8jWlrCdK5mM
-qyaVwF10LfgmwzI2d3rBpUSsEhzeTnllSyxji1ZmtjarCIQdGB/q31nGsqhz
-J0NfIvDnsVT72LKMNa/H0OrFAQyQbyttzS5jNafNpMqUAOSWXp7SJl/BWIeO
-F+aPVMBE9ReBNaUV7N2vRxlSJyrgoh3NjmrGCkZVH1/iNPgdyCoLc8f9V7H9
-XB7JVNdyMMnS+HTm/SpmE5VhaiFTDsUxA4kvylex/uVZwrn5MrB8QBEqu7yK
-DXsbWkhblEENi9Fdf7M1bIVSwcDa5D/ftybmJCiuY2cukCw0e5XC0NVYehf9
-dYzL/qjhH7VSkFeSJG98vI4xEsv/K6QvhSmGGysOaeuYX+08f2VKCaiXpTf9
-ZNnAFPcz80c7i4GS9qqvxeIGpjotmq9oWAQ3xYyQ/JFN7ITRuchrkkWQecHy
-kFpkE6tv07m8f1gIOm6uXkW3NjE24QBGiqxCiJ1KdiOr2cTQsUG/OMpCOFq5
-/CQtcQu7qe9ztu53PrgO7Oa7l25h/U9stclL8qFhk3xJp30L6xpiZyqOzAc7
-aW67TYptjFTe1sZEOx9KEy88uOSwjenVpcXqvMwDNecoi7lLO9jvHxpRjok5
-EBv59kPF3R2MjNvyy1PzHJjJ/jzy2nsHm6zEokWO5kDY+DczpeIdzClIoCew
-KBu6rk4YhQnsYiFpu20UPVlgKXn6uvTGLjY+NkLx90wmlKpjr0mY9rAaL6vo
-QopMoLLQbO+R3MNqzegSSHoyIDvOVPfZnT0s4SmX+BnnjP/8KkirrWkPIy5W
-2v7+/X8c06PqkLqPBTdQkGebf4ahMq1Hrt/3MTmdrqZ1xc9wNgrFenfvY8M8
-luTvWT7Dklrm7HPKAyzs7+o/6vo0MMvyepX68AALeV7cKHY6Dc46i/R3yR5i
-FnlXY70EPkGsbjxZv/YhFv0pO0r+4CMsi9NLj1odYst8NhnnBj9Cev+mz8Kb
-Q4ylos3gVNJHYD/feJRi7xCTpnrAmMT3EbbJFct4LIhwO1KSvlypVEhzWG1+
-Z0eEn5Q9JjbMmAr6wzljQh5E+IXe2XXdtRTI/ypMKx5NhC/JveZb+pYC1g9p
-b8vVEuHSKE6PXScFutqGya5IEOMi/fufzL0+QH5i0FXvFWL8S+fuehxpMjSy
-BE0zEJHg5CRm711738PUi0DvD3QkuNfNQNNj6e+B1zMgu1qcBLfdF+Crvvwe
-Qkz8qGhuk+DPZAqjf0S/A3M+b/SmkQQvPS9tVXP2LXjEeBke+0OCk4n0JhCY
-3kIsnddi+RQJfm/RS61vOgma9j14h4hJcZxHlvNKbBIoDLm5iiiQ4gNL4hel
-NxOB8b3TyYKPpHgwEW0hW30CSHI41V0oJMUPHDRcXqYmgPqrp2ZdQIo7uPnH
-6z5LAM9njmGbfaQ4G51NV96ZBJi5/WTmHBMZ/l98/8dz8YAEHyU3eJHhb5xq
-79Unx8HjFEvGCQNy3IIxi+RiWSyEu8Unhd8lx+nGHjPFvIuF3Kst4or25Phe
-bdEca0AsLB6cOR8eSo7XbJ2//F43FmyNaRwUvpPjXoL6gp0zMfCAtbAzTIgC
-T0nqYTIjxIB10GHs6b8UuEwJb4l9aRQEmcoRRrb+62ueqhlMjoI0uft5z8kp
-8ZN+gTx2L6JgcqyjbpifEn/HfO3+pnkUWGJpW6HXKPH2o9LGH+miwGJL22io
-lBJX6RfPFH/0GsweJPAF+1LhPJQ7f6hUI2H3z5GW5ZdUeFVT9ssCmUiI03Tz
-NkmgwisjUi4/FYyEdvGbwzJFVHjCay4mjYMIuDjN9mFgggoPF7M7z/stAo5Z
-RoqcunQEL3Lr0TZSjIA10xDJQXpqnGaod7HhZThENG/2a/BQ4+cbe+5N24eD
-1Ll7YYVi1HifZl7pcf1wsOZVXwjGqXFW6/rUkzzh8KePNO+UAzX+yeepP1vW
-S6gwfHYqpJsar3DUaWDpCIPQa86Kskk0+OD0hwUKpRfwuknCNjuDBq8+Qdb3
-SfAFJGkMvxP9QoM7kZbtPqB4AfnnLpFxdtDgF7Vel1l3PIffx7hb9yhp8ZTL
-ziq8ts9BnKTCstaRFn+ZzBh5IS0UagvJI25p0eF09wy/l8iGQJtU+c+Om3S4
-WHKoWDxfCPSl261rWdPh7kjqVwJlCCy+6zVS8aXD5fsquzb7g4H9RYYo4Qsd
-ftysTIIlKBis7l759leYHrf1WLn4YTgIyFhjpp7t0OPJ7x58rkkLBOZFb3pm
-Sga868mGs05MIAjV28h/ZGHAr43eNPrrHwgqnspB9ccZ8MyG2G7rO4HgNjEu
-ynSbAVe+ZLCrxxcIi8WnrFKqGHBtGvvq+bgA+Csx88RCnRFvZtZb0HznD2sc
-g4FZ2ox4oSTupvDKH3bJOuLX9BhxvruGBgo+/kA9/K0y6DYjbthyLeGhhT+I
-Rb1iynJlxDWcEu3fivmDxa58wWomI+52IHaCs8QPehsDlwIYmHBG7L7Ez35f
-iFZ5q3aDnQlXckgXft3sC3oFxQmifEw4pYb/lgP4Qkvs+MVaCSb8TVp0h3Wq
-L9TeOR9Pqc6Ej0dpWrDa+kLp5t75555MuOkVzs/2RL4QS3ga9WqWCefpU9MJ
-lPMB/dgXM7eXmHBDnhtHzov7APOR1HMnN5nwmbWmDGpeHwhfbJ9uI2PGb9y9
-pVFH6gNBZSeUmQWZ8ffeajZ1n5+Bs+78RLQBMy5y/2fMiQVvuOFhIZ9QxYwL
-rScStT33gti3rBSbv5hxUd7CN0POXtADtd3X25hx1ezuG8R3vcCATNKJbpAZ
-l5Vl6PdT8oKbL1eLfDaYcfcH+XyOC55g9D5A5t4xFty0XfDLsr4nmFelHZd7
-xYL7KTg9LpPxAFuaeeEWI1Z8/1jDkC+fG8y7lZPR3GHFCZctVo/Tu8GDmdAp
-jXusOJucEc3UgSvcqxHPrHRkxS/AdWK/EVeweGYtUxLGilt1P5W+/dEVbq2O
-YkkVrHgNPZN4srQrqPf/NnkgzIYHNWibtGi7gEBWbSzFHBtelqpuVpjtBPrv
-v5Y1LLHh/MIZNSbvneB5VOZA+CYbPqsS58Ty2gnWPMKFOcjZ8XSpdYdPLk7Q
-oG2QKybIjr+gilc1UnUC58XJmksG7Lgzh0XgzsBTaJYhX3/+kx3P+ul3upjz
-KXh8Vb3OkMiB/202YL6Q5wCnTNqWbn/gwBffrUtrfXKAuUOT8PzPHHhpCPl5
-k0QHMNJw/nWtmAN/2JdBiA12gLM96f+5OQeutd28dc/cAbZW6Y5zEXHitJlf
-iz1ZHMD5xG8yghUnvm3QLiX77AnYp9mWyp/gwm8E/aY/+9Aehlp5YujluXDx
-xrbf+hb2cGW7wXFKmQtvoU3tc75lDxLax2RiL3Phcw251m0a9jCxPJm1bsWF
-Gyq+rf8tYg+G525/KE7iwv33fKTt0WNQ6boWdoqaG6endSba+2IHtCRnLKQn
-ufGEQa0d4yZbKHMhvT41z42Th5j8I6mwBeuFVtV3K9z4I4Os+OI8W0C/bUTp
-iXhwZoLP+JkoW3DMS5hZ4ObBNxt0RH8Y2UKfyYFdzlUePLicyqBs/iGkf6nx
-OP6dB//IM590iu0hqD3Sj5GI4sW/x+VdEwy4D5xlfI/VRPjxET0YN/9nDa8d
-QiJP9grghqbsaYLhlqAXpCv1tlQQL5Bwe0H52QIkjANufPQSwvN7bpLrUN2B
-nqkjKVE3hPE7n1m+KBPfhhaLyfPMAgR8wF/MNM/XBEbJPm/FCBNwPMPTUdHF
-BNbSbPK4jhJwsSm3y79sTYBrfp5XSIqAM56OObZjaAKWjiubJ5QIuN2RC2eS
-pU1gx/8w54ohAecR8FzbHjCGo5+4uENfEfB1N8HfdeeMQVGjv402ioDfHcgX
-IpEzBu3ZpOCIWAJuJKeQfV7CGJ5ICa6/eUvAo4SFndrYjeF7ydG2tCwCzne6
-/9HxJSPQq5UNqq4j4DdWvCr7Uo3AymZd+VIjAeckVTK7l2AErtRfVhtbCDi3
-kAbxdoQRvNU5e6ez+7/3OLBoS3obwUwPrjw2TsAVnyZFNt40gh1XklWraQL+
-oap//5muEdDxVGfMzhFwUW5NfUV1Izh1W4NjeZmA12/3FpTLGoEa8ZGWp+sE
-3FiSvdBPwghupjYEbG0R8MTcb+G6QkbwQC1MyXOPgF+5a3ZRiNMI/v//H94s
-9qZ1k94I/g9H3Xlh
- "]]},
- Annotation[#, "Charting`Private`Tag$284811#1"]& ]}, {}}, {{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
- Opacity[1.], LineBox[CompressedData["
-1:eJwtmmc41//3x+29N0XyQZlZWaX3GyElUVIhhJRIIqOMiERkRmYJ2TKzKueV
-vbJX9iYreyX+3991/e+cc50b5zp3zng+rusct3h09S4JERGR93/mf95z9vLa
-4SEB7WptvAplNYIZd47NwX0CArcB2qojRqDLNLpduktA2//mH+4QjIBfyeHf
-o3UCEtO/2OsgZwRVryOoxmYIKGAlwyPsuhFQSfbxoZ8ENPvW+9KbGCN4+8T8
-knc8AZE00peGHDeGbGKnVCIFAnpigjdr4CZAfldLhvu2ABrvltXWWTYF1v5a
-u+Tw4+j0pIbts2lzuFodZynSxI9uQfWmjrcFuP9RsQubPIa68GrCT18rKHON
-e5B3hQ+1Hl1Triu2BgGrx5/6L/Ah7WiFdSqwhjd6F8aI1fgQB2f+x6uN1mAh
-snXdQI4Pecy57e0NWwPtoL7qLhcfMqYvupxEeQ9Mz1FzqU/wotI9WiF1k3tA
-Su5W2/uEF2noLTlz0d4H3Yjr/AexR9FSRRxPpLcNPJNh1NaKPIpEOjYGwoJt
-IK2z4XFY8FF0XDOF5V2MDRywnK0WeH4UDfitUH7Pt4HcSAFrLaujaKOYbPHR
-uA3QRf3JDpM8ijgyHOrdzj+ApneBCoTqI6j11hfVq8y2oJX4XffCIg8Kb+Nl
-JTTYwcqboX2yGR6kfTRRO7jHDuK8/mb9GOVBGcSyEwcTdrBopkR5posHWZ2u
-MCE6sIMIgS8gUcGDNK4cfeQs9xBG0nOkWAN4ENVe9fyplIfgUhjPMkLgQebj
-zb4nAuwhrf5pr5MxN1K3Mv55UskBYmVc1DMNuJE3i/StYVUHCE50zB+5zI0o
-Wv/MxVx0AEcn29faODdi0beUETJxAJVjt88dE+JG5lF/1SKfO0C3C57WtMyF
-jm7tirXUOwCJMKXL8RdcqOZF3ujv24/B1O8te1sGJ2Lt0H31I9kRWrEtSrdk
-TvRo14G0OscRsL839vgTONEHcUJ4S4kj8DseGXUM5US9NKRkO02OMGGWnMHh
-wonsJ7tUCtYdwfpM/hlTdU6013phoFjTCezXmu8sDXOgwOphWrV1J/AyJ/1M
-y8qBDA5zXmTfd4b8Nq2QbjoO5B4bPQJPnGHiXLB9IgUHOt553XXE2xk0edlP
-ndpjR0YL398oxzoDw4Bw/tVxdvR6PC/6UZMzvL92sTA2jx158hi/7ZN0AdAM
-Lzmhw45IrvJ/2Tp0gbUvPdErGuyoT7XA7gG9KwgK8biWY+zop8rc5m8eVwgg
-TVG4JMuOnlv0FNPJu4IeKi6z52FHcRFk9hN2rjCm1F/xZY4NwbjO7cEhVyCS
-OAbqL9lQ5YvbonZ1buDBoWr60osN+Z8e9KvsdYPtQ4t/da5saJBUmfL4rBss
-d6adufiADZkxSf3ioHoKg26SZXpX2JD4mRGmhotPoaRGpeA2Nxuq11M4Z9D1
-FB6amKS45rIiC3+6uZLVZzCn4aVWnsaKaBlmXZXJ3MHqVNL43gdWJFr0SKiD
-wx2MSKaOeUWwondeMuqKZ93hQoZtgp8rK7pde9R15ZU7CG48iwpXZUWZ29IN
-/AQPGAiKfZXdw4ICqKyfXbLxhK5a/hzzNhb01IyS7tDDE1oO09vZG1mQXmCy
-Y12YJ1Q6lXB7f2NBd/tSRMLLPCHZuCvbIIXlv3lrlOOm9oIHYvTt/xxYUKPC
-L0q6z17wt8mbS4+OBb0wSnQSJPOGDTIqFXIKFpSoGCZ1g9Ebls+F3qk4ZEa6
-ogcFUTzeMFaYmCW4zoyeRfqcl5f2hpq4irO7v5jRyhs6L0ozbwh+sGGenM6M
-pN5IX9/95g1Hae5nbqgxo0ly5U+xL3zAtLIlWOAsMxpm0hJyD/OBj47SDnqn
-mdGf+ttSD9/7gPDgnnzOCWZUp6+t71vhA6dy3tRY0jEjbWX+3GfrPqCmWzTa
-2cOE1n5/38m9/wJsIg7YC+4zoV2bYNENc1/I0bTcHbnDhMrZ1C34HvvC8l79
-EJ0xE+JUbhkz8fEFR8vwlPuXmZBLQ7oyZ7IveMgJSvPLMCFaqlCxl1O+wJcb
-GcO3zYi2IhS17j70A9vTouSDRxmRlYtwPx72EhzJy9NdGBnRtUds4RPJL+FZ
-j9ZFFhJGxOrX753w5SW8dr4bqj3LgLgpPuTeGnwJWV+SuMsKGJCQ+Nulfyf8
-4fdpTskoTQakbifxk63OH+7Jk9244kCPvuY9UajnCAB7isjdeQt6xBIaOtAg
-HgAuvccT/K/TIyNjy+9zagHg74KNf1emR+OVmsf9HgVAWskzW3FyelTRPfzu
-VFMATMuvPqeOo0PDRd8ygl8GgqXCSEZ1NS3i2moT4+IIAusMBUPNUlo0RpnO
-GCEZBA+4w0kbs2jR0UMTFQmtIHD4q27aGk6LpGgsbRrcgsADMll/mdGi0Fm7
-+pjhIHir5ey1/JcGXf0k8fZXbjDU3aAz4JajQTZ6VCxfH4RAY8Nd4oQTNOjr
-kgDx6KsQaFGCz3xHaJD/U8E98U8h0HnEkVqQhAbNJiReuTAWAqOjfZWS7dTI
-tsw04eXNUNi5lyJy3o4adXRdJSk6GQaibsqH9qlU6L7C1mGybDigYV3RyWgq
-xMqb5JWpGQ6G6pbXbwRSoXhF96K2W+HwgiE4G7OnQjDPbuLhHQ6/UodvMClS
-oVEf7XjTtnAI6PDOL2imRHmhGtyBThEwI1p/Z2ONAo1t/Llf2hcJHmGDwfen
-KZC2VGCx7p9IYNn6UzrUR4HINWd1mSjfwrkfXAy13yhQ5qsMKjaFtxB140FF
-lD8FKuAaJRaJfQvn/ehZFXgokP1zx9a5u1HwcfhazVNVckRH8GmlFHoHMlMy
-e91y5MieJl+qGX8HNfPMUlInyVGHrOEwMnkHM9tt8TMM5Ei23ZdYI+odiLLo
-OF0bIkOrafZKlVQxUKh5XkDClQyx7epnz+7GgPplws2AB2RItTH0BR13LHRf
-IwmZvE2GHHa/UtspxsKWOdqNPU+GPv6R9Bx2jYUz7mc7KFjIUEvm19K43Vio
-yZPzHsshRV3XffdpqOPheglryZkkUqSqkz4lKB4PM9/WFqIjSRGrNfbV90o8
-UDXl37j8jBSJ00wxsr6Lh8tT4qcqtEjRC+eQyWCRBOjlEhqJnCBBhZ4yf2NN
-EmHWh/2sFhcJWqa8c+c1URLQeOb9iaQhQbcH3s1wcieBpJt2ytg+McpuoQge
-kU4CF3tPmmfjxKhRVZKaxyoJKIyn+3OyiJH14OWTps1JICj3xZlFhRitM1l1
-13/6CBdOXRExO0WMks6pCKlVfQQ70d9D2ceJ0Y3leTWS0Y9QzM97XoOCGOWd
-/vXqBncyqNO/ZHFrI0LJG8kBDuHJYDFjkDd8hwjRUVd8OBuWAv7jyxaiBkTI
-J2/RLLAgBbKGAjhcNYnQ5E2eu+JdKbDW+c2TSYwIDT5WIXnGmQokz7Vj/OcO
-QW15gNUwNRUw6d8d+vSHQLP4W1ip/RP4n+BVWlg9gAP6DPaX25+glVc/ya/3
-ADgGjtOoHEsDU5py+9IPB7Ddl2K6/SgNPCYDaHllDsCNqGa8miMdKqJOaswZ
-/oPxAwkpbfcMoDKetSQ++w9CPo4+187MAEP+tBc8x//BbwMFvta+DFjLIiCd
-hX04vBfoZCefCSKI70zB830QNZykUtrLhJh5NulnGX/BebA5lfV9NszkdV2J
-fPMXlAV9TO/2ZIOcc4R9juNfaItbNr9DnwNth4w5I2f/wslumnDL5zlAwU57
-Qr1jD8SHIi5N2uaCM0bMS7e3C4NnC4Tf2+RBFRk6IzS6C/cLE9ZpcvOAqcnL
-6FzNLmxJbWneWM2DHIP9dw4hu/CK+pvOlXP5MGWzzdIjsAsK9x/9lWzLh6tv
-l6jeX9qBP5EZJwyoCyHpVs6JUqkdkPu4/IpVthCW+Ww129l34GbP4BGb24Xw
-OnPOl2RsG0bOXi6YKCqEH5WTB9ZPtsHw89Vs6/tFIPX718apxC0gKxbvLlwr
-hicrEiKcflvwPq6bs4fwBcq2fW4fPNiCsW2B8ezrX0CVQrSuRXELxttrkl9+
-/QJXCc/e2XRvAn3WJ7geVgLRoq3Nel83gZ8lzf5VfQkMSgsQKSZvAnOpdfCb
-wxKwwpvuUzhswl8zGXERx1Jwvs2jnEK7CU8suCcIFmVQYWVv/3ptA5jL7/N6
-JZXBgW1V8uNfG1Dl2+TaPVoG/s8e0OLpG9DvXCodfKccYt5VDA2pbUD0aPJs
-2+MKqOgwes7xbB2qHIQ6g5q/wUH/56J/5utA+uDAtOjod1AbI5mb0lqHZva0
-iguPvkPzcpZeEfs6eD/M7RjnqoQh2r/H9QrWYK+KrH7cC4Cf9YqhQswarEZS
-CL8eArjLk/Ka7/kaDO6Q2uzyIlg+eWl9UWcNKpc8s3i8ERxqxNcEzq2Cp9bV
-so0rP+D85T87Dm2r0Jf8Y9/T/wcEGKhL3CxZhcZA+hzeyh/AZLkQJey3CitJ
-6yZIqgoEvM/cqz62CvGucZt+gtVg/So0PotiFcw15JIKrKohK2SyLXxpBdQT
-ye6ppFWDbGKQovnXFbhOzlqWKFED5ysGqf8ZrkBHvOOPJt1a+Jz1San+zApo
-3ltorPhYC1zxj2zC+VegvVig5vtWLfRuU0Rc6v4DF9w432mn14GQuyFT4t4y
-KAySpzYINsCO8fwj6ZpleN8B3+JeN0DLWa+22jfLQHS+gUxuvQGeHHwKWeZf
-Bpp/+hHiPxuhymeTDtdaAnVRtr/x6c0QbRFo1820BG7iLa7kJ1rARp235f7A
-Iiht3IrBs1qAiVwjKPzhImxsFfV1f/sJU9P980IKiwCI83qATiuU1dldrCBa
-hPwxkhdVY61gFvCWejJyAVI7fe600raDjM1JG9fbCzDfK5RmeLsdKC5+a6A9
-sQAqV84sRhS0w2faqVdyFfMQsKbRlWXRAfshshT+Y7+BbJmVYLHQCe2P6u/y
-ZP2G3u5Iw0DDLkjRM6797PQbWprv8H2q7YKLLL5+fRS/odhq6Oeb/G7gW+eY
-sm2fgyhp180W8R5Y68pSJ4qbAwYB1i/TuT0QG9VJIiIxB8bvalaKoBfsXKwt
-vm/Nwp0wfGBfrw/wG3s/9NEsCCkUL2rO9cEcl4DPs2uz0LFf1o6J/oJvu1/G
-GHhngePLZvnnnl8QOqCNp8zMgNZl7t0PAQMgn/D4sPnpDAAP12g/xdB/94Lc
-zFx9BpKkeLR4u4Zg+HZs5QbdDCwIlM6PZAyD37EfnrxJ0zDwJq8ScxqFm0TX
-hwtspoHbhMnyndwYiI/PndWUnQYaRSrD91/GoCuZad++bgpIbCQZnJvHIc03
-1Zg0bApOma6wC9+ZgGdWil/f3ZqCwODfTlkHEyAgbP4MLU6CNfOyyY1rU7BF
-sfHLoGQSlvPjuvJpp6Fx9pXS7+eTcFrex1a1dRocMvN2mFknwZ7KzHrvySxI
-Mdj7qo1NQMuFdf+jl+Zg1VGcwSl3AnzSylb+iP8Gx7OZhG6tCdDIp3Bd5FgA
-2Y/3PpOx/1c3w09+lP+/viEXVjo9MQ4Tlv9OcisvgXNbsm60xzgQnukX1L3/
-A/Jyd37VaY+DQFNVq77LCmzFHLPa5hgHF4H3f3RPrELJv+HlE1NjgHR/fmGb
-XAVXi4SnNwvGwKeZ/4Vt1hoo1huRBXqNwUnnA2Exr3XYEeMOLb80BoY2UQdn
-zDZgfV5M+3TLKGgnZrPpXN6CJ8UZptHWo2Ae7jHkZrINW55CT7aJRsHvOLO0
-gecOuGolB96MHwE1q3s0ogW7sMN07EP56RFg0cICbu/uwdOB+GKe9mHYnNpt
-tbmxD3spXE3uD4bh5rBhwUTLP9iXZ9lU+TAEZ56cdnR6QYQ8iUJpPigNAfGO
-y7Wgu8TooJGWn6h7EJZ+rvH8u0GCvCMDTt+xHwQ8Xta01YgUEd8mv1RFNQg2
-u0k19I/I0AvhF+aElAHwNfvzrT2KHJGtHDj7qQzA49xfulLtFIjCdydJ0/EX
-MD5UUeb3o0avdJxL0ul+gTKPeGPdIQ2i4lhrpkrvB8WJI0FCkXSIJnNhq2mw
-D0oyXfyISJhQkON9OnGXPjDi1xCUW2VCdGenj79h6oO3R0Z8uZeYEWPbiM4V
-jV6g8YmmyaJmQ2Exxhb5oz1wIZsK7z/Jjlgs+l2Zn/VAnrG8T7g+B2Lb7Eju
-+twNwdXu4cslXCiqUrdMTrsb3rZWBmsscSOOgOafUZNdUF92+99Z/iPonf6F
-yS3PLojOdxk70D6KuI7U7tzg6oKSEb7Ii5a8KHZKlaG8sBPiZW+b45Z8iOdz
-JYHncidIsWksS2DHUILrGSX32Q74+lTiodn8McSrWqY75NMB7o5Zbv9E+dF7
-mtNWKkc7YBtlhbso8qNj3QVP35e0g9ec1qkdVn6UlCgZeqjXDll0tArld48h
-9VZD7R+9bTBEEbtowMqHNO/oPfGlbYOTs4Ls9VxH0YUN7Q8aeCt0FdWIrd/m
-RhdfqTdROv+Evo3Ig8FmdqTDo7LZmNkCbGOfHqjo/sedufL8wSPNIJ6Zk7ad
-RYn0calLuqzN0B0UzmNuuQkGXSIuTBeaYDop90qr0jhmaE342OnRCOZhkf7R
-KuT468dOARFfGiCT/nxhdjUr/t2j+tHV5XogY8vpeRbDiwtGWp7rNKuD3/Z7
-h7fOiOA33xcJRcTUgrrUdN/GU0k8KJOU/mpHDQzQGwYEVUvjlcXXNphpauD2
-u7Nyv47I4WuQMtihVg139j8sbUvJ48LN61Xh7lXgN79uR7aigN/qVc/SL/4B
-ei0pP9y1lfDg8chw5iUE8SXEvwxllPH/dotbhxCCOsZLn+pTlfG5P/eQwPdK
-UD/61exFkjJ+hYIqNFnyOyiNbxq8EVXGS45m3BZI+gqhnnmEZB0lnE/2gngy
-cwWwbETwK7Ep4i+15/aO+5ZBOE/vJfNweXzRLKDx40YJnA3dGfHpkcMrghus
-P/YVAeMHMXvTHSn8eMr908e1C0Hg5qjszWUJPKCciuxjRT7cGKEj+7Atgue2
-hKupnskGsr1843ovAdx9t2MU58sA1UzSeEpZPlxbmMUTJ/4E76k0zV9tcOKc
-167y4FMfwZaDUevFRRa8+VDw0fOQRIhwILX6aU+D37/1KdPL4B2Qkyuk1z8m
-xsmKhKY8ecKhLZe4y1ZwHcO5dVT20EtQpU8wGdnrwVZiYq1WYx2h5sLD6cqe
-fvAgeVurqXgLI4wyIDvCCkjGWdazyT/H2C68rBh03YER7oJlWsZgLOEvZeSw
-6SFck+3/5q/6FvO7IzbxyIcElfy68eKVexyW9uhj8HQtGaJHC4QaoyRMVyJB
-UC2UAmGR2f41rilYNTNF0/VlSvTY2vZ3zds0jKpzLkpjjQolK4np1BZkYsTl
-g76RGdSom27hc21rDsZXSlQozUuDKMaymOsW8jCiIZ6mBCMalHDrtLKlXwF2
-27bkwZ4NDTqtHmU7yVKEfch0Pad0jQa1im8mWH4sxtzYzhz9X/49juutk6dK
-MJewJOaqn9SIiOjLoWVlKfbvenjSqg01iv3NJj2lU45divhXQ75FhWS6nlhY
-DVZg343yQxOdqZBVmlyt1c53TH+gQYbNmBJZCRvVynBXYZQHhhLPd8mQ1BGa
-EcexKqwsPW9dyZwM/WOs2CpMr8YEfO688WsgRdG73Cdl5WsxMy/nL0pJJKi+
-5ddr2WsNGHeGa2iDCxG67zZQbyzWiO2uK2Qd6T0EKsFBMj/SJqznqszL5foD
-uOg+5NVd1IyNu1145Fm/D/PCw1/3g1ow4euyl1l6/kJQ5/COoNVPTJSgtZGx
-sActIqOOzmxt2DMD13Aa2V2w6xnNS1xsw+4Kn3AxsdwBf9xhy8KiHXMUK0j+
-Eb8NJxYdZIOUOzBujcevPhO24L66Y+7gfCcmac5arRuwDoqxa81/DLswCXs8
-NWB1Daj+OM6TVndhTlp12Znma5AZ53RCPL4be/tO+FLKlVV4trKugVP2YAHz
-q2dI2lbgouYTKwOnHoy96taJ69dWYH71yUePS71YkrU60U7XMlRobUJYaS/2
-kOEYbfv2ErxOdB5JJfRh3Vmil1cISyCm7XLk598+jAp7LBf7n46zS3KN4s35
-hSW0aUkY18/B2a3tImmuAYy6ziRNUHAO6HTcOjX8BjDX2odT5f6zkLvtxmhv
-MohlLUtaXjKZAa/LuxIvGgYxphHi2fb/9IVuylOdaLkhTKEy0EFOcxqWdZ8F
-VtINY82LYV21alNQmbqX3uk2jL1WI/odXj8JIXvP6mamhrGXxs6Ym94knEpz
-J2X8PoL5ks2+nns4AWVelZV58mOYkrXWWY6uMUjKPPhZbjeG6eh/trF8MgYB
-3eeGq5PHsFt6PKdTucbgpij87WMYx/g+Nj/g7BqB3R5QJJodx87GNdgzGgzB
-BBHRBRreCUzqKVPVf1QITWL4DbZrExg+X5QlLzUIcT7I+SRMYOSe7mIUvAOg
-LPGjUO/dJDZLvHVkidAPp7t7oysbJ7HsgPOUzCV9IOW++Ex8fxLLWJlLIbvU
-B8KNnOpUd6awVLXA4n8evcB6174LRKexrAqNn4MH3cBA51cqcXsaO87rPsfz
-qRtoimLj40OnsZGT9Pt+l7uBiLjW0nVjGjuvXtEcldoFiwlHNiQrZ7DaY9PV
-yzadMKsu3Z+wMoMtKjx8XnusEybmNb/REGaxm/Ija5f7OuCXoqPfzKtZLDEm
-WV/1UgfUdTewvdefw5geNsbc02iHH+4jO7R+c9i3VGc9L8p2+CawMfS0ZA7T
-SJB17I9qg0KHY5+uH/mNNRqpzOpmt8IHOpfT9NO/MdUmG8bz6y0QVxTE7c45
-j7E8Xo9ZfN0C0UYf/81pz2P+fD0vKgRbIDijpbbm8zwm/jsVDzZtBrfzBEMP
-twVMxuhdbODvRnBaUFSez1rAOn8KNg6GNYJ9hC7fzeEFTOQhhfG8UiPcHXs6
-I6u2iI1txBUzhjfAVY92lwXaJUy/H8+8drUeLhNmjG6dW8JmWbKKTSnq4ULT
-33P1DkuY562gsu6vdXCO6wRlSs8SNkD/O2JEtA7Eij3fGX1YxvzXlCVecNUC
-iQv7kBX3ClZUXkD6RqwajMyzOsvkVrBDIan0paUqKLyINdLprWAz2y7wuKAK
-LI7ZlBT7r2ACTWaGDWeqoKrhWxjZxgomrAJJWyY/gKdI/9VNxlVs7ZLJaNmJ
-H+CYOOOZI7qKcb+XzLVdRyDgyGRrcGcVSxqdGgl+g8D3iJVGausqtjeuQ3Uj
-BmCIfPfMzu9VjNY6a+37GQC5lTcyOuRr2GJduvqXsUqYqik9tnFmDTOhCRiQ
-PlUJ5+1p99Qz17CUgnjs6fA3IPtR+HnSdx3bEv9e+smtAkyytT4pfFjH7k1m
-tltJV0Bx1FB8UMU6VrVh44UtlIPVA4pA2dV1zJuUJFTKohxqWY0sfU03sMZ1
-f5n7Jv/xvTUxF0FpE3PMGtFp8yyBEb1oBleDTYx6UT5rQKME5M+IkTc/2sRi
-1IjkixlKYIbx+ppj2ibm0ZysW5X8BTTLM1qqWLcwT+XA0omuYqCk0/OxWN7C
-iOpjXJRvFMHNE0ZInnob2xTg1L8qVgRZalaHNILbGEdUK+nBYSHoPnXzLLq1
-jfVXkVRSZBdC9EzSU7Labeyi6CRPLGUhCP9YfZwWv4M9Pfsvr74/H9yG/uY/
-K9nBqIVUK8m/5EPTNvmKbscO1nvU6nlxeD7YS/LYb1PsYlJVlO0mOvlQEq/2
-4ILjLnbvPLp85U0eaLhEWsxf2MM4+5kIT+JzITo88WOl5R727PqOmrN5Lszl
-pI9FeO1hxEFVR4SEcyF48qvpmeI9zCt86rp/UQ50600ZBR/7i638KFOj7M0G
-K7HT1yS3/mKvBN3uLCpkQYkmFkHCvI8F9nksFlJkAZWFdkev2D5mllv2h6Q3
-E3Jibl95fmcf6wgWeqrgkvkfT/lfam/Zxy5qD6p+/5YBvmO96o4p/7Ck5Dgs
-xzwdRsovPXT79g+z/bRHvqWUDsqRKNqr5x+G7wqrfGBNhxWNrN+vKQ8wkS90
-QrQNaWCa7RmaYnuAMZZO/T1xOg2UXQQHu2UPMZFGoUrPY58g+kos2aDOIRZ8
-PKpC/iAVVk8ySI7fPcRKRR+0qQynQsbgtvfSu0Ns+genu0xCKnCoNgtT7B9i
-mSme0gm8qbBLrlR+xIIIp1aM2fwskQJpjus/39sT4Sq0BLVRphQwGM2dOO5O
-hA8rXmLS20iG/DIBupNviXD95Z/yK1+TwdqWzkyujghfvF9kw6GbDN3to2SX
-RYlxWVnbcnPPj5Af76/ntUaMb26NksaSJkEzq/8sIxEJ7kj5usKt7wPMBL30
-+khPgg/ucbmJZHyAox5+OTUnSfAoyhD5mosfIMDkBRWtGQleu3eQ/f3tezDn
-9ULvmklwlzstbrXKieAe5XlD5BcJnl1J+5nAnAjR9J7LFTMkuJfvpZsDswnQ
-8s/96AgxKb49piR6OToBFEeeugkqkuL3Ln83kNyOB6YPzlIFqaS48v4RxN4Q
-B2KczvVqhaT4lU2Gl29S4kAz9IlpN5DiWifI0q88jwOP507B2wOkeHqv2Xie
-QhzMmT2eU2Emw+0YSYebsmMB8T9MavIkw5unDx43JMXAo2QrpilDcryNWJrm
-fHk0hDyNTQixJMfJ7ndzRb2Phs96rSeVHMjx/YDtVTa/aFg+UFANCSTHnXk0
-9T9ciQY7Y1pHxW/keBE2Jtw1FwUP2Aq7go9T4OyLwZymhCiw9j+MPr1IgROt
-e5c7lESC/205wtgOBV511a9xOCkS0uRs8l6TU+KN2bXH7IMiYXqis36UjxLP
-cLZ/uG0eCVZY2k6gPiWemk9tlkofCRY7OkYjJZT4XZGQ3JMPI8D0QRzvKx8q
-PG3wwxCVejj8/UXduvqGCg8IvhBWIB0OMdpPvUziqHCue3KXn/CHQ8fJm6PS
-RVR4CVsMq9ZBGJyfZf84NEWFP5ip/w85wkDEKlxQ5gI17pG2pGukFAYbtwPE
-hhlocKs10bWmNyEQ9nN7UOsIDV6wwWs76xACEir3ggtP0OBhZfPl4gYhYH1U
-c+kVToPHLy6mSR0JgV8DpHkyjjQ40/WH/uzZb6DyxnOZgB4afLxou4W1MxgC
-9V2UZBNocZv0uj8UZ4IgokXULieTFidlOj70iT8IErRG3wuV0uLUQq3/HlAE
-Qb7KBTKuzv/iKzFfrTtfQ78IT9s+JR0u5WOGH7V7DSdJKq3qnOjwCz61EWpp
-gVBXSB526xI9buX35fsX2QBol6io6rxJj9sSTZ6M5Q2AgQz7zUvW9LiMy4um
-OMoAWH7fZ3TOhx4/9Zi+d3vwFXAEZQoRSulx/4B1MVb/V3DX8vLXRQEGfL2d
-TvPjqP9/HBk183yPAQ9JuZJRm/YSWJa9GFgoGfGy8n5X3aiXcLzhvnwqKyOe
-7KxovOj7Es55nPVvEGfE01gf91rfeQlPpyaFmM0YcTJr4f2rvC9huVjmbnI1
-I55oKVG7EOMHi6Jzjy00mXDrG3+WtN/7wgbn8MtsHSa849PgU8VQX/hL1hm7
-cZUJz+BaNVT09gWa0a8//M2YcBa6uThbC184ERnKnO3GhHtRiD1OPOELFn/l
-C9azmPBJ6exTXF9eQF/zyxU/RmZcSKRPtGrQB96eS9S4zsGMrzGxEyJ++sDV
-guI4IV5mvOz98o4j+EBr9OT5OlFmXNfzX6d1ig/U3VGNpdRkxhPjci3Y7Hyg
-ZHtf9bUHM67xyCndgcgHoglPIkN/M+M3UbjuSzlvMIgOmjNbYcafnEiiVj3p
-DSzUKSpS28w4iHBm0Rz1hpDljtl2MhY8cfWjVj2pN/iXnzrLws+Cn8Tb79en
-PweXKwtTbw1Z8HBz1ehTS15w3d1CPq6aBY+KpiBuf+0J0YlsFNuNLLhizpGY
-ERdP6IW6nmvtLDiT5DlDYktPMCQTc6YfZsEjPjoPvjjjCTffrBd5b7Hgpj0s
-fE5LHmD0wU/6nggrTvnVvXTVwAPMq9PE5UJZcb39qkfl0u5gR7sg0GrEhke/
-Ix314X0KC08ryGjvsOGBMvHr4gxP4cFc4IzWPTY8LSaCdubADe7Vnsz64cSG
-K/IHEb8YcwOL59bSX4LZ8KZzWZJmqW5wa30cS6hkw28dUzuZJOkGmoP9Jg8E
-2PE1K1eTVh1XOJZdF00xz45LEt8zLcxxBoMPZeVNK//Fco21Jh+c4XVk1lDI
-Njt+gaLMmTXCGTbcQwQ4yTlwBgs2p0+uztCkY/j5BD8H3nasVN1I3Rlclqdr
-Lxhy4GYcXi/3hp7AT2nyzddVHHg2TfzpYq4n4F6mfo0xnhMXlbdhUctzBBmT
-9hWzj5z46jjlqUufHGH+0CQkP50T703jVDWJdwQjLZdG/WJOvCrvKyH6lSMo
-92Zgb39y4tP46M49c0fYWacX5ybiwrunGoo9WB3B5VQ/GeEuF05QHZGQff4Y
-HNLsSuRPceO/KiYYlG0dYKTtSBSDPDeuvjDQb2DhAJd3m5xmznLjn7hyB1xu
-OYCojoh09EVuvO5zmXW7lgNMrU5nb97lxq+0pTX0CzrADRWzj8UJ3Hg/UaSk
-A3oE57r1g2VoePDwvy+J9kvtgY5EwUJymgeftr65Z9xiB+WupNdmFnjw43v3
-/5BU2oH1Upv6+zUe/E1BaWxxnh2g/vtCDERH8J96wZMKkXbglBc3t8RzBGdM
-MhL6bmQHAyYH9rl6R/DKGVbD8gVbyCitdRf/dgQnZt9MkGG3BY2HBlGikUdx
-36hSfX4/G+Aq532kIciHL+TVTJr/sYYIx4Bwqb5j+NtF7jT+ECu46n9FIrGE
-H29McQ+iTLcAUWO/66mex/HeGCNyXao70DtDnRx5XQB/dIyj9CyxGbRaTKuy
-HCPgSXoit/N8TGCcLH0nSoCABzp5OSm5msBG2v08bmECvpvrfrHRzgS4FxaO
-Hpcg4Ifb0SJ7N0zAymlt+9QZAl5Tpa6QJGkCe76HuZdvEPAguWcbu0PGIPyJ
-mycwlIArlvH116sYg5LWYDtdJAGn4807TiJnDDq/E16FRRNwJ1f5HFVRY3gs
-wb/5LpGAlznwO7dzGMO3L8LtadkE3DP410PxFSO4WifrX1NPwP2MPX4MpBjB
-3fubZy80E3BHeyXTe3FG4EZTut7cSsDjQzSId8OMIFFX+U5XDwEfm2TWEfMy
-grle/OzEJAE3X44Lb75pBHtuJOt3Zwn4L2zg3/MrRkB/pCbz9zwBfxCjZaCk
-aQQyZlqcq6sEnM+jt6BC1gg0iKlbn2wS8C95bIUvRI3gZkqT384OAd+Qqwi5
-ctwIHmgEn/HYJ+CRCybnj3MZwf//++EChVFt2wxG8H8rcYN3
- "]]},
- Annotation[#, "Charting`Private`Tag$307210#1"]& ]}, {}}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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->{-10, 30},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{
- 3.8716302612695627`*^9, 3.87163043703398*^9, {3.871633080838892*^9,
- 3.8716330985389347`*^9}, 3.8722347137716227`*^9},
- CellLabel->"Out[55]=",ExpressionUUID->"9ff27ba2-33df-4d53-894e-2237adc5b8f1"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"Solve", "[",
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{"tt", "==",
- RowBox[{"R",
- RowBox[{"(",
- RowBox[{
- SuperscriptBox["\[Theta]", "2"], "-", "1"}], ")"}]}]}], ",",
- RowBox[{"h", "==",
- RowBox[{
- SuperscriptBox["R", "\[CapitalDelta]"],
- RowBox[{"g", "[", "\[Theta]", "]"}]}]}]}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"R", ",", "\[Theta]"}], "}"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.871622894456358*^9, 3.871623007057829*^9}},
- CellLabel->"In[21]:=",ExpressionUUID->"6c1d3718-7a8d-41a6-98ea-98fe3318bcfa"],
-
-Cell[BoxData["$Aborted"], "Output",
- CellChangeTimes->{
- 3.871622938634961*^9, {3.8716229813491297`*^9, 3.871623000110902*^9},
- 3.8716230715991173`*^9},
- CellLabel->"Out[21]=",ExpressionUUID->"8b0315bf-6d61-4278-a829-dedfe692066f"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{
- RowBox[{
- RowBox[{"g", "[",
- RowBox[{"\[Theta]0", ",",
- RowBox[{"{",
- RowBox[{
- RowBox[{"g", "[", "0", "]"}], ",",
- RowBox[{"g", "[", "1", "]"}]}], "}"}]}], "]"}], "[", "\[Theta]",
- "]"}], "/.", "data2"}], "]"}], ",",
- RowBox[{"{",
- RowBox[{"\[Theta]", ",", "0", ",", "1.148"}], "}"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.857791274604718*^9, 3.8577913088999443`*^9}},
- CellLabel->"In[6]:=",ExpressionUUID->"516a4819-1b7b-40d4-a8ad-e2086998c231"],
-
-Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwV13k0VVscB3Ahc5GZeoYUHiVEIt1vgyIajJVIJSENhkqDIVQoSspQyFOq
-JyEpkSjcU4mSEJGKe8+5qBTXEAlvv7/u+qy71t5n/85v2EfT099xj6CAgIDw
-NAGB/39ffl6qPaXjyqoUOWOu9WYVq2a2tVWwnBlOpIS5aUITm9/aDK2Ws0aX
-hdfecZYR/rqz7rWe3Ba47xi17GatxDRF26Vqcj7Y6Gbr+oHlgEPrbX8oyR1F
-v0nm/QrWLuT52L6Sl4uBoOmd6N2sQNgcqV0iJ5eK3LFZSkLLIzFQp90ZKZmD
-NaZ5ay37E7FbJ/7TzY77WJ23sPxLahr+WXuaMU0pARP+c/7VyOt4db729mRd
-BRa/+itdXOQ2PnonXW2tq8LuHx1zUwxy8SrNr7zuJwWv9B3MQEYBssIi9itO
-r0HqUjt1rv99tLnPFXRhanHm/ufi8Z0PIG6/7/A9oXqYyERUFx8oRr26Bi88
-uAFH1i8zLrQpgaR/7tZ33HfYP/DaSUTyMVbbxD42CmjCllslpUJdZchTXzBD
-itOMbZW1U/mnyzErUmvTUFALGA81sUOmT/H1cVlrzJ9W+Oe3O7u9eIahfiWn
-5H1tOCi7zezZpUr8vl9TXjjWjtOBL34LW1XBKBAqaw90YDio3T+4g5yrTNyr
-d+oTdvFi8oqDqiHx8dCwWdwXpLTKTLqPVGPgzztLgfBOvPnawnP3ZGOVcEmv
-emQnlK1WNcp4sZEkmZGC052wocRvsfewsVTVuz/8XCcWyf+Ymr+XjXCz39kT
-KZ2oSm0888mfDamguZLj9zrhuNE2RymMDe3uoLbhrk50HTj/+1EKG27v5IK/
-relCTeiKQ6kv2Mj1+qzYYtOFKb3P1769ZGP0V05JpV0XRtXPvGK9IvurscaS
-Hcj/9S5anDo2Xu/zDV2xvQsF25s65rxjw1KkIir5cBfcJBrWeH5kY84y7wRk
-d8HR5D2t/5MNv3pDQ73bXXgrepu3o5+N0l3jDfJ3usBaW05fGmDDOfai7NeC
-LnD0Nd8PD7IR/74sOamsC97LbkfdG2Xjj790Ru+7LhSfDfo5MI3Cp5ulOZcF
-OBi5yxItkqPQflQmy1+IA5W/dbnP5Cm02Pqm2olwUH6JV/lagUJDv1K0kBQH
-taudI7lKFCjLo7sPKXGQayMrO30OhbxmUzUnAw4U2lScledRCBV+cFnWnQNX
-hzbP8MUUjrdKxP3w4OCQXIPJfhMKwbmeUbW7ODg1bCjsakohwF42MMqHg/nb
-b6YtMiN5mxG4kR/EwTTl4zcaLCjYmRiKN57lQP7HnKmulRRUvfLDE0s4ED/c
-ObJiEwX9z12Jd8s4kH4me1HdnoLlVsVbzyvI/jbPB/8Qe6w/WTfG5sCzb1Tl
-oSOF6yYOyp4NHHRrlnfIbaagO334vnEvB1+Na+WvulMwu23JNKly4WV4RPmx
-LwUbjcDRvr+4aJbIvhuwl8LWtFuSYppcrLN+IaTjR+HEhZnGljpcrDhgKXhx
-H4WnwZ3hNxdz0dQhv9jpIIW11qeVj6zn4s7Y9+WZhyg499TZKYZzkRWfTa0J
-o7DrB+M4HsHFwqjhma+JDw5NuXae4uIcS2eVQziFswImvrlnubg+PcNz60my
-vnLGaVYyF0eX9Ma4RlL4e93+Cu88LpYrzlyjc4bCkk3RlN09Lt6aV0hlEFu5
-ZNUZFnHhxlJ4Ih1N4rGrue13CRc5543rBomTjluOXGBzIeywprgglsLkHalF
-Je1ceMR+T/wZR0GyUHtJxicubu/KfOAYT0H50YrlkZ3kvJ+pxw+JF1cftrPj
-cZEizQ06cp6Cb3uHz5cBLlyk4pN6L1BolMjPEhWnET6jNTgjkcIXmZf/fpek
-0fDe7W0f8XfFroJ3M2mYFGlJsC5RENVSqEiXp8G93j//I7HlsrC2RRo0vtXf
-5YsmUfh33wbZrWY0ln6Qq9ZPoVCjbGUaYkEj1kovKID463OLrZnLaQzPE2t4
-QLxAQzeTXk2D+uybtCSVQlGzoF6gPY3HDozFgisUmiLH1ic50Ziz08PZm3jI
-oN+/ZDON32GWqv8Qm539VDzhTuPfieBcqasUypeXrjy3l0buUekPrcSfvhZ4
-5e+nwXL8uEk0jcQv9VZMgz8N/qvcIFPilfxLbxSDaRSp3yw9T+z5z9l+8+M0
-XtQf+VhCfHp9hNz2UBqCFWk5ncQvbh9wzY6i0TvXYKVBOoVuJ6/QF2doKJ+z
-knIiFpvm9k9vLI0w6cmIYGI7NxtmUQKNX2G53o+J94tBzOkSDa0ja1o/EF8o
-NtUPTqZRcrupf4S4QVorsDydhu+UitqiDAoD5SpJXzJpWDmdMFpHLOsnUyJ4
-g4bIMrW+XcQmSqLt82+R87a02R8ndqEm/tjk0JhYF+meQBwcOKS+/y6JT3mP
-9E3iK2rfViUU0Ph7G+1XQtx+7EPs+4c0plp6FNuJx+e/vTtaQiNFI82nl3hO
-0/P62U9onN9ruOMXMSuifID1lMa9/pMTQtco7Fj4QN6zikb6qPsqaeKI9jtm
-Zyga716mL1QhvhGTtS3nJYlvjswzTWK2SWpYXS2NQ70JI7rEdNf5rB9vaCzu
-6GsyIJ6ecJo96x3Jp5bJzYuJtS1DeCbNNAIXp55cQmzTGyi+tZVG1Ka4DUuJ
-96b4LghpJ/GLv1f5v8+t3rEp8xONBPsPH8yI8/pdgqo6aXgLtyebEr+5tj6Z
-5pJ8Vzj7y4j4h+3qUtFuEq+hxxMLiKVHzT/qfSX7K63M0SY2vGU4uaGPhtkv
-/ogasaOjjmZgP4370jd7FYgPTf1llTRIQ5ajGyFJnJQn71MyQmOc71I2ReL1
-yFXyXPsYjZ+1U6l84lYRwfyJPzTcRn4r08SjD0bfaggwSJ0+Z3kzcU1W6DpT
-IQYFXu+3sP9/X+cF2OtEGEwvEJh7n9j3xGlLD3EGdOPh9GvE5j5ij4KkGJjW
-iFGxxBLO8YtipBnERl9OD/r//a6QuZMuy0BS4rumG/EJVeUMSplB4W5PC11i
-W9EMhbbZDPytDF5LEasOqSf0qTHInNKS6if5WPZGJ0pxPoMnq3qTi4jHI8x8
-fY0YHAje9VqH+PWBJ12hJgwexQnWTSPO2Aa3RDMG7i7Rwe2kXixNrDeWLWfg
-UnqpKYY4tHuziZQtg5z9NtcbSX2ub27P19jAoLssVvAG8ZwqDx1TewbmUXuk
-A4gr0rxVPTYz2H7TQV+MeHJDsEChJwMH9UgfXVL/9Ra/j1N7GPwRNtbsI/0j
-Uyd88IMvg/XyFmcKiVnTonnT/Bl4bMy3W0x88mHya6cQBokuhW90Sf+xv66y
-1jecQenl3PecZAoaF649C41kMHGlJDqduNLnVtGtGAYWM325YsQCs4uv/LrM
-QF78UVTTZVKvouayUqkMOura6qOIs4bK4zTSGLC6XlcbEq+sp8LXZTHwu3jy
-eizpl1GRzV7peQwMc/NNdUl/FeoZNMRzBrO9fiRrk37csHN7ploNA5mMyqUv
-Sb/OaHshOVnLQO3YcL438ZK6q7zyBgaqHcLSN0h/9y1AhkUHWd9QP0eCzIPX
-h+NElwwy2OmkrZodQ/Knb+iwwggDEX2myZB4j7cHZ2iUAad/cnsFmS+TW4wq
-Hkwy0HhaxWkk88hwWWuQkQQPB1f8zv15iuTzNK3PCzSJfX6q9JP5tvNEvJ3U
-PB4SxE1r/YgXDg6XftPmYT7VYEOTefiCrrmcu4CHkKKzhU1kXo6+PLhOdykP
-L71CtW+GUNh+oeyh1iYeEo3WXpQ8Sup7tmOcahgPS2bOCBncT5G+dkV+aQQP
-CrksXXPi7m2fr7mc4sGJYe0NI/M7J82v8OJZHgYbxG5PI/NdT/XUe5EUsl6U
-o8iYNwUDlYfqgwU8KPJsWdk7SbyUFB/WdfLwK1sukCb3C0Uz9+W9XB7i7zxZ
-98eBwq/NN16IdPPg16p9X5a4NMWgbWUfD94Ot/WXkfuLhaL1ZMkYD3oLempP
-2JF8Ujhmc1O2G/8kHEt4uJqCtVx7R6hVNxxT76nMIvepec+mb9tj3Y2cp1Kz
-ZhiTfNln1LrBtpt8LzhXixqReqqOfadm3w2VOfMcxwzI8waZvah064ZivaXW
-Gz3yfO+S7gkf6oaboKW/2VzSHy9sioq/3o0AzsZ6BRkKkRLPdTImu/Fxj30R
-v5vch0fCxo9M64GC3+xvN3hsXOla8naTcA/uzOdxHBg2CktzgoUkenDvrLB0
-HoeNTu/4534KPZDX0Nvs8IkNFttpt/mCHtzabRe9o5GN8RBOZotrD74oqWWd
-fcLGkb4phVnFPejkfnGZeY4N+Yjk6X+X9mDbt+BP62LZeCirP7ziSQ/sLMI5
-p6LZGDLb3BxQ1YM5V229BqPYOByVd6nhTQ+8St+vqgxhI0jJVfoirwduFZl2
-sw6wcXBlkZi0ci/ksvXjEzay4Z3sNS4V0ovETZptQ1JsBFguaH+++Cusc2bl
-DEdW41jOX4XT/3yFYshw4+HGKlyRCzopWPINJhud814pViHIT5HvfPA7hqqt
-PGbZVMI2mnYzMO1DzdHqlk/pT7HsusIz6kcf6mMd1oSlluPvyAAVTskPZLsL
-QdGoDI3rZyu5hP3EpnbrmLhrJXgVJx9TrdoP8bnaNhAqRo6T4eS18H7MrMke
-dBm9D7n0iYHWj/2wk/cxH2nJh9uHoBJLswEM2jmnGAT/i7mjoaNeaQPoy3n0
-64xSFo6kLn30bWQAwl+5CcWXE1EfYdUROzqAWm54S5p9InT97AW1fw/gbpFf
-nP+MRLRb+m7cOTGArdnly7ujL2IFJ5XXLMSHhd9sb3X+BUgs/KX4VIaP69KX
-CmIfnkNmdfHRi3p8mOZZXQ7QiMKvu1XXFi7gY8+T+a7yKZGwT37Drl3IR81a
-yfcpkpEQ8mWkpxvxQd/Y0ez//SR8ZyjkHDfjQ/m8amPz5RAYbz38wdOKD7Mx
-c1/1liDErYyYnFrDR1W1Y4ZlRSBovfh516zJekWrlJRuBiB1Ijug1ZYPbtVY
-oShnP/7caBJb78CHQiX74jFpL2yO/2LQ68iHj/FeXnTbLtw78s052pmPofFT
-tuprd8DTRuh65RY+Prf0XNHYuxlPjKRfbnfl42tE/BaZMQfIz57d93sbH+qW
-P2N7pe1wUFhH7oo7H21tW/LT9VfhZZ+xuakHHzLG5fIHzxnjPw2YIaM=
- "]]},
- Annotation[#, "Charting`Private`Tag$8964#1"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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, 1.148}, {0., 0.16104802521213}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.85779130533657*^9, 3.8577913091623983`*^9},
- 3.857793276120146*^9, 3.857799951294331*^9, 3.8588497581844807`*^9,
- 3.867387198268334*^9, 3.86739257677225*^9, 3.867399192185546*^9,
- 3.867807033499033*^9, 3.8705036390135803`*^9},
- CellLabel->"Out[6]=",ExpressionUUID->"cb4c528f-0710-481a-bfb2-44297fb7fba9"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"uf", "@@",
- RowBox[{"Most", "[", "prep2", "]"}]}], ")"}], "[",
- RowBox[{"1", ",", "\[Theta]"}], "]"}], ",",
- RowBox[{"{",
- RowBox[{"\[Theta]", ",",
- RowBox[{"-", "1.148"}], ",", "1.148"}], "}"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.8577935086036673`*^9, 3.857793511851841*^9}, {
- 3.8577935977894907`*^9, 3.857793599909363*^9}},
- CellLabel->"In[39]:=",ExpressionUUID->"aed31f23-624a-4974-a440-50445111532a"],
-
-Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwtmnk0VW8Xx2UskczKUIY0KXOk8qRkLpnnMVOiTMmQMlOEpERkTuY503F3
-RQhRUUoSme6Eax5S3vNb6/3nnvVZ65xnPc/+fve+++x1RB1vGDrT09HROeE/
-/13/zRDlFG0XYMbg2BDPgwgod6r9aGi1AKePa6YFZ0SCzY+7173MF4BtaYB7
-Z0kUYJ18xSWGCyDj03214F0MBOepi4ppLkD3afJEHy0O1syzOThkFkB96rBD
-FkcyLLSaUYnb8PXq9updmkuDXBXx+8xb87D7Rqzd4NV0MKiaPSixOQ9l1lXp
-6+PpUPk86ordyjzoDF0TYx18BjcCa4a+kOfBsJu7wq4hE6jHOd6/7Z8HrwPu
-p7dqsmE6rb0go2AeRm/yKrOp5kP41bqDt3PnQf1NvuWLwHwQOZlfZJU1D9e1
-+ceZ6/LB9FtY2d60eQgYto0RPFoAbXxn6p7G488vbX//mOcF5D6qaUvxnYf9
-fPFR48OFYP0gezxebR6uPPhOl3C+BNasE509VOdhytWLWSKgBFKk7kzrnpqH
-otGOoIjSEujutqKwKs7DHW3O3Vk8paDCyr8Ye2geviq1J+j+LgX+mAf0URzz
-8Ppr068E33L4HBokGvKTBvp18oLy9ZXg3RZR8XCIBttHqi8X9lTC7u0PzrwY
-pEFam+gOpt+VoJ+YZdH3iQZ3+I0Oh7BVQU9m20PRdhqwtxspONhXQXvTLvr2
-chocRRVDdIzV0LyU+3tXKA2Yqzb1xlRqwFK51Es8hAaGCu2eTy/WwEZw3T+l
-IBqMppLPqdjXgDJD514HPxpEkjlkVKNq4BXnjGGNGw2cGNlFtHproPK4UquZ
-AQ3Gi2ajPKxrId+tOy9bjAakBuN9J6/WQYqH5o/WfTSwTks7sT2wDqK8Wrmm
-hWhQ5V273BpbBy4BzWHH+PHzRhglbHtZBwdjS+yadtLAeOyU8JPJOjDW51d6
-SZoDz41jF6VsXoH9h1RJjoQ5+H3gaLS2aj2ofUl8bBI7B1nyl50JuvUg9jOG
-MSN8Dl7b9NCJWtTDOPXW70O35mAqej2hwrceXNjMn5+zn4N0DbHVhcJ68NAV
-4POXmwOnM3B1L3sDBL5/yvTz6yxIsTNLHOxqALmIwdOFH2dhgvs7m9nXBiCf
-5vPz7pqFWE+5ep/fDWBd+eg3E2EW/G8eCfbcaICzqQlwvGAWbi9lkr0PNwKz
-c2RgqO8sTKlfrIWIRgCR1kodz1n4cV2mujKhEQK+bSPyuM6CE4O/YEJaI5B1
-75oWWc6Ca4WZ5a6KRvggFyT/WW0WrPv0Kg98b4QUOq8Z8d2z4J3/h9pwuAku
-NpVLzO6YBUbeiwk35ZuA2W/GqoFhFm6o9Z3bd6YJAqbdu/RWZyBWhZND5XIT
-WPU6F94cmQHG5Q6zhJtNIJZh5dBROgMVP/e0NGFNUKGk+cVdewbC99kwXDvT
-DF7fmySyzs8AT0S/pZ16M8gEH/frPzMDfUeGjdV1m6GSwMt9Wm4Gvl4pNRg1
-x/nCxGV2wRnY1n/IxMEXZ6OwngoqFXhqneoSCvD1lpcEJ6ao4ChXxvmwBF8v
-1e2awBgVWNjmH0VW4fcP6bOGfaHCUB37UdTSDFUOIlqGBCoYeryKYRhohuob
-za1LiVRYOXmd7+O/ZvDhlOY+fJ8K5aqncokMGMjV5DraRFLh7aXBLwvbMahe
-ubetPYAKd5cbjYe5cA4xR6kOVDA7eieZURKDmrjlppPyVEileHNXaWPgd+wq
-6/VjVLC24h+dvoiBQt+wRe5BKsxwvh/YbYhBLVfbGqsQFeTXD5metMQ5LfnE
-MCMV9HlcUyev4lwoXX3nKwXG15gYqqMx0PtDen/iIwWOP/KIML2PwcSl/LHZ
-9xQQ/yNqRnmAAc+KAKddCwX8wkL2T6VgcFOd3gvlU2DAMN1QNBeDXU+xmNVM
-CtgXH47SLsDgBcU/qyKVAjKKg5aOLzH4mkzp3ReH3/9Oh9+lHIMTYwPH6Hwo
-kPhSm/yqEYNehcQLDdcosPAtUdcZw8AlVtvGy5kCXs0nshgBgyfShPhRcwqo
-bAhf4GvDYDWkkPIa4fst2psV/QGDpE8ODIEnKbBfVLWwpQ+DQweEBGXlKVD8
-5hZt8hMG5j1JOjmSFCgytPVk/YpBw96gojB2CqQz9ovl/8Tg8nWFNydZKLAt
-/OEFl18YEN/MfpunowDHrYTVPWMYCFy9st1xiQye247LmE5gUIkJ7987S4Zb
-x892jUxioLX7m9LnaTKE03vttZjGILBez/XcDzJoRM0xiJMx4NrJcndjgAza
-opmVPhQMim3fPKnuJcOEqoRKLRWDIaYT7WJvyaDywJGVfQ4DHwvaz6FmMhze
-cnaSoGHAWla8nFxHhmW/H2+OzWOgYrzvAEMRGbayMsr4FjH4XPj9dHMuGQqJ
-YvorOLv/eWTsm0GGaaukvZ1LGNDrX/I4+oSM7/v2nvhlDJ7lbo8cTyQD19MQ
-k3MruH9W3j57do8MjBckv5Fx7tEOqTGKIMP1CZaSqFUMnDKVuneGkIHDoWqQ
-aw2DTdr871Z/MqTcqHBNxjlFvXQj2IsMWgnxTozrGEg9deFScCeDOdOnQTec
-2yj7j1CvkCFuir4bcLZGP9TybchgwP5Cc8cGBkvJjy2szchQJXLa7ALO8VP6
-3jwGZFC4p87gh7OECuu9Hh0yzEeeNnmMc8uDtuxIdTK4cWeZFuG85uC001KV
-DGJTPzgqcZY7wegvrUyGX2e7mIpx9mDNH2WUI8PJ+9ZqqTi/GDmvO3SUDKZ7
-I7pv4TxaPV5XcYAM5SpSZbo4C8ZE7I/ah+snqT7HhbOplXic5R4yeO2oS/+A
-7z9JunVZmpsMn7a5NgTj3MVwxZ6JnQxXRc4aCOPM+I2+e4iZDDfsJK5X4/FR
-Lc1VrKQjw6VXy/yncA4MPZcdtUGCCqYUs3o8vrXGv1mtlkigK/pT8SDOs4fC
-b8rMkoC1t7T5Pq6H46c3Oj/GSBCbpz4mheuXUeBQV/mDBLI7m5Kv4foOBm7b
-H/2FBLlhuzme4/rriakty7wnAZtvftwI7pfolVE75lYSHKq9k0nF/fS6K7Tr
-B0YCxyTfzFncb4q+r7OiK0mgtNV3v3cGAy9Ne1brYhJIj7TeK8X9WSxId1M2
-nwTtNHLaHdy/Im1IZziVBITsgd1bRAy288KS7F0SvDavvOgzjsE5kq0dSyAJ
-HnhOdc3j+XO75d/7YR8S9NCLZDmPYjDvrJoV44Lvr8zgxhE8/4ZetWj/vEiC
-6sjUnMN4fvLE2dRWa5LgRULte70BDPTt/orEqpGA87ZwgtNn3E8sZ5bkFPF4
-MBns8unFoMwcex4rRIIgnzM/mdrx/JWy3mHLR4LEF+3felsxENu26Su/mwRy
-ko518W/welJ0SnuEgQShrGwK03i9Cd1oWpSnEOEc0eqEQA0GhhmNWr8aiSDi
-WfzGOxP3t3lCt0gtEX6J5swS0jH4wnPlkm05Edz/Gk7QP8XrywM245+5RFjv
-0LhwIxkD2zt2dj/iiCDsX5YxhNfXa/ZM/oM2RDi/oftk23UMSoWG1vjMiSD5
-pzeU4I7r/a082NSQCMVKn7N9XPH8NzAP+6JBhDsko4zX9hgEnCuJ75cmQv2J
-9jNLeH2PlDDI69tGhEEB4x2vFTFoHz0gybE5Ddrc696LshiwZG68vLQyDXUD
-hsEixzG4z5tf/oE8DaeZmu9b4f8nScyrjd390xDzXczUhw+DTGLGx46CaeAo
-MXQTWG6GV6XEv6A9DUYNLF5+pc3wcS+jdsT5aQj3/9xxtrAZSLH7UjTOTMPJ
-unJVxtxmEHI2PfJBZhr4eMKKvVKbIUK4zXSIfxpEEizsR8Oa4XJCVsXS5BRc
-nBT2EDNpBvINU4fD4VMg23qq5+pyE4jIt7UlN02CuYT95zaRJkD3eA69rp2E
-Xy2cj7gEmsD+l1PcTPkkBBWbG1pyNkFuHJOhVt4k1C+/mBxkaIIDExq//sZN
-AocclT2e2AhSj9+vu9lMgpLz5MDPykZQWe09jugm4e3zc06GZxrBpPn7U8qF
-CSjkDrfs12gAAQ99ybRvv8FPvYYBZF/BaLL3O2W9MZDw2nPbtrEGqP7PxrHa
-X7BjJjJb4VIViNaW2lGTh0FJReSfjG4ZeJ67c+nd3e9AeEESTD/0EswGWs2K
-c74CdDic/Z6cB7qGjpG+Uf0gzFvotGcyE372+3VrPf8IRZdafS4IPYGUMJGq
-mocfYeTwIff0zcegI935RCTqI1xrZ9pF//MxvLov6Lh07SMU32uO2/H8MSSp
-vV3LOvkRGu3pqjb2P4ZY2316s0V9sEdUlcfrSAqY8pps0+XvBcoFlck13WSY
-D399jXGhC9RiNm6Ppz6AqdGicP3vXfBIiccm8coDGFZ9lJb+ugtkDsvGO0k/
-gM4N5w6ZxC4wSF4RjeuIh+c+O8VtpLrgcNdt2e71ONBxNB2qc3kPd7grvkq6
-3Id8NaqW648OGI/hc+u0jYH0rC921W87wHpk9M9r6RhI/Evw/1vUAXkMvFyT
-dDEQ1Pgw/1FABxBcS1gq86LhsqwS3WveDhg87TxmSImCv/vD6wUut4OcsJfz
-UHgkmNIJSHa1tYFlVuGITX8YuP0byGwpawODewFGpaVhELz5kLfqSRvsKlw1
-EosOg+y1nUxP3dogXTpdMupkGJBpW+PObG1w3qrH5GBuKNwZm87ZZtwKvDIn
-n/Yt34EXb+uFT46/gVO3BH/pPg6Chtd+j6V63sDuxM2ZFYMg6CbIsu+vewOb
-aud7FncFAa2pZJM55g1sjMhrjt8LBJWarB8DR96AS46B47OIAOjNi0nz8nkN
-EyHpimHR/jC7o+LIZQYCyF8fV3nR5QMDKbbWJp9aYG/VcXZivA807tuVYJnV
-AkIDe9ri9X0gUtFz3ulUC+R/sFLc+uINgg5HGwJ9MTi4J9Lv/rQXaDUUXsgb
-bwLlK1sfnqpch+PnzW69rGqC55jrnfhuT+DuZS4qu9sExWv9EVo2njCCn75B
-sAncJj5J7o3wAD8Oif4eo0YIfGs+c/CbO+S4ZNuvtNbD37xtSewvXSF6Xj/5
-z8N6GODKpaZecAWP21utdPb1kHBi12/quAsoJ9se3Ln5CkyCroisirlAb4vQ
-7D6FV/DWZuVOUrETbPCkBWvn10LKHy6GxV8OYNz68ElGZBUku/N8T+60AL8E
-4r0FkypwYhNUcT5rAY8sUIjWwSrwEVU7k9VoDp/nqFeW3ldC76hHt06lGVwW
-0pLV46iEkomvFpHlJpBK3kxdlS+Dl/zqHrmzBvA1tPhO3tdSELxZsU4XYgA8
-/ObO+oGlkLI7O+Q9mwEkn6+RKySUAIeL7NxTmcuQkHH1g6l2MawUMgi4c12E
-6Etf6V/ZFoK68euGjU0NeDcRQXLYVghiOYaXeDQ1gDFY9iN7/guora54zpRy
-AcIL4zOdSQVQ26txweuEOtyhO6/M65cPT72dLl/LVIOWJzSRN3z5QBVpd9P6
-dxY2pZ4zeTbmgWRCycd/DmchyGL9c9u/XAidOpFMu6IKN6srPP3u5cAuodLo
-C8STUKtlY7xfKgf0TRTuPR9UhsUR1lM9vdnQ/aVoqrRHCbx3umyX4MmGk/Hv
-58gdivC9U1mj8EwmPHqyHrtELwemy4+4t8IzQEeDqYVuvywMiM6NmnY+g3IR
-0/S2czLwMaggmNkoHYo6vpcT5Y5BpxRXlbNbKtR7Shsv8x2EeE/hH65VT0C3
-RCAmteYA6JcfYnLfeAwVd1X7VKwk4Ks0srgenwKXW9wORneLQrqXToTXl0fQ
-+SRt8XjKfrCtMinzEXkEQdqQXtsnApNyHttuVT4ET0fff772e+Gl762jgetJ
-oCptsfRTWwA8asNNgs8lwZUjk0n62nwwfU3OaOvlA5Da/MKgd58Lrs9oFTKc
-ioeXtTYzg927YeW63R+WD/eBpJSr+UNjFzD6xOftno8ByTXTSq/D2yFuMXeV
-JyIabs7Jew5bMwHXzUbdPbxRIPaRWcMOo4f0lb4s4cIIuHT61Z91TToQDZha
-FD0ZDlKNDFGWW38IL9c3NSW7Q8GJnylysX2VYLciqWzSdAdqa42PvJ5aJFxf
-Nxq1GQkGVYhNeWNLI9zeDI11oQ+EzuH+uHkbMuH+VpnMDUl/CO2auvyhfIKQ
-Rv/j2y0dX0jS1ZSXsf9FeMm0PSz0uhcIEB4VvWj9SvDgdDfkOnANiHyL63S7
-+wj3+NtyxT2dobJxV9hdy1aC3qnTU1fd7UAg2ir26YdaQrQmLTp+wwgqZ9UN
-C/uzCaGFWvq2vGoQ2rspip4FEGTozrR4Hz6IQpPaOcozNQhPD04f4y/WQ6Gx
-l6WKDB4SkmPQCrHNAmXr8Qrd/VdCKG15d+RKuiPyGlCzazjWQkisvzZkYOiG
-Av7skCPOdRJ8qjjvn2W9jravnsVbmX5C8ZcfGfxj3iiAxeNY1eIQIeNz+dKu
-Fj9Ex5bB5iP6m5DQF6bHnHYLNcwlqgUHThPu9hjn//ULQmtRCmULYTMEr/cH
-N5cuh6CB+5o614QXCLJX/h725wtFnQZMUVyflwnFY1NfvCPDUGdD88rMyDpB
-zP5jmOdCOLKOZPTfPP+PwGOT992pNwol6T7FTHcywoMf8VH2p2NQ8uTYY8m3
-zMBs6S9rXRyLFC7mS7AX7IBVU+17RtFx6MUYP7PgHAd4fZFT1F+KR8XHb17Y
-X8IJRCOhMR3HBGRObE7B/LjB8+UtIdGsJPRZ4Ho7hw4/FLt6LIiYPkTXv1xK
-fGeyB6YkHTqF2JPRLPtaVfgtQbAt0PETCH6Ent9dj9v9dx9czhXu4TB7ggIK
-SPPy2w/AfcnTaSnCqchNk2PBJFIS2ootXfZMpKJPPHqC19gPgXJNKp24dxpC
-hPufPDSOwv42TsUTcRnINDJvz6/DsmCpJUPfbJCJhgtC6OoE5SCl51IfEniO
-gN3rKD2PPGz/EndVuyALjem0/6ETUIS1BXr9crscJJZT3hvteRJ4FZPraG9z
-kFIh73H2Ryogd0tUSF4yF73SXlpigVPg8QeR6qm5aIztqKjFEVUYZQiJeBOY
-jw59LTskXagG73lW6wceFaL75szEDmdNmDKNFuFfLUQ8l2UO8UhpAWMab5SF
-5Ut0Ll9x5smyFqgKKxiO7C9C3g4di6rJOlB9wJs6XVaMzgVfVeJcuAjpJyj7
-/3SUoR+azMmEAkOoDwiKOXO0HD0nS72METOCgaYds3cTypHtlyOZpGwj2IUO
-NTOaVKDOC89v3co1hjd51UdYvCvRuJyF4KsGU1AsnWvb/a8KOX/f2fRE1gpY
-2ZNOOEhVI4OZKNG3LVYw4inzssqyGo1IhOzS17WGWGnvOMP6aqSW++FjvLsN
-DFUvGKR41aCoMHHNR412ENq4PMI/XosiHzUkftZzhK72P2sinfVIe4VtVrPS
-FZ4fzHC/sVKPAm7ssNBmcwPf2NPDINGAUm5Kh625uYGQTgjYhzUgqxi7dDuJ
-q3Djw7+oXJVGtCIZPXIxzx14BrZxS5Y1IY1RD++HbzzBbozl2LHkFiT8zerv
-DeQDfjU+1nZtLail219j+bYPxEb9jHu40oKeeXiZjDT5QOXhGvKyJQF5lGV7
-/lDyBTof25cEcUDcbJaCd0/4weWwIc6Xlq/RgtqZVHMNf5jnlH1wkvoGeToN
-TZdVBMFm0FS+IdNb5GlvP31nPQiYJ55h10TeotrYHaWV54Nh7ytmaublt0g8
-a6/gie/BcM5yWIe+7i1Ki43Pf7c9BJJzY7Z3h7SizHzjxF+Bd0FOfiTCmuMd
-0qz+p5dhEA41aX/16Q69Q73dpXfLgsNBgU5YKP/sO8SWvDeDUhAOSh+saine
-71CI1SOz2Y1wOO36fSJo4B1q2/iqwobXZc1nAxfS0trRDe/RexksUWDN0M3y
-VbwTUS/vupdLioHo/vo4feVu9MfNxvbFsQQgpzGs6uh3I8zhivykbQLo2+s7
-arh0o0PEDwGaSQkgMDOlfCalG1WUhfH7LyZAETPf1BFaN9Lo8lwKbE6EnpN+
-Z5lf9qCOq3pqLEVJwJUts4zx9yIJxa7QEL1k0H9lLP04+CPi5YllEXr3GD4/
-8bspktaPtn30VicJPYd63/05z8K+IoNp6t/jDnkQtbXT8obVd3Q17ME850wh
-6GQ9n7P1HUZ/+KbMPvGWgfepFvdzpr+Q6N8gJaF/ldBxU20s+9QY0vpyxHDH
-8xpg1iPfTa/6jZw73YdyluugaV3OGe2fQPIa8cbVXA2Q5h4m4y85gaQHmIzN
-BRsg4Effn1KpCfRBKdNwXbwBFFs8kveenEBDq0MyUooNUBn6ApYNJhDt1u4S
-Y7MGeMGyd29pxARa3qVjVZzeAMm82/oEpidQVsIDhxPCjeAdrZ+uPzOBUij7
-3Y4faITLq5nO0YsTKJfZNWb/sUZg/66yubg1gd65li8snG6E2Ay/w30Ck+if
-o2S5vnUj3BEnRkTpTKI9Rqlqv9Ma4apsn/JCGc4SvyqVdjfB2SYihVAziVwN
-r4uT+ZpA4Dx9VlzjJKr79zHniXATdBgrMh14N4muJxkV/TyCv98FPPtkNjyJ
-3L69UxS/0ARjBFf3FtYp9PhBz+fogCaw0KPLiHWdQrwj8acih5pA5ssefRPP
-KSS/KrvLY7QJttvK04v5TqFaxpfiF6eaoP6Gi1vznSkUNB34d2O+CXgf9SjM
-Pp5CwmZ3Ghl3NMOn708/GLVNobsmDLVdis2g7Sq7JSI6jQaNsp0X7zWDlioj
-2fXgNDrszSfmmIgz7+BA5bFppF6kQ9eZ0gwarbeLz6lMo2frdnSBWc2gvq/T
-xMVoGk2P/ha/UdsMZwdtS8uiphFd/94n+cM4l8umrsRNI1lWFBw21gwoijEc
-JU+jpivEDeOpZlCVLzb79HwaHdhVXvhrrhlOJy7TL9dPI+99bzrC6TFQ0oy3
-OE2eRo9tH2avHcDghIidehRtGkWxcR85dQTnZVnp3pVpFMZb0OZ7HAOFvEFG
-ewYiKhq/xNpxAgO5LbHKCCEiCpN4MLGkgcHx+kbm7ktExOu3Je/ijHNC/Dy3
-CREVyww0Ml3F4Jiz3bC1FREp7NvxLt0DAylupupZVyLy8LPQKsDfU47cuGzD
-FUZEvZdCd54Kw+DAwekaixoisndaa3VIxyA8ZEA3qpGILBWyPmhmYjDa/2a8
-EogovoyoIJ6NQXpoBvf2HiL6SIzeaCzAgGPIwPfVBBHdr/b1c6nEwEMG7fxN
-JqKAoDchK9UYdEVL5bHPE9Hb2rfZwXUYRMqz9Dv9JaLk5Neczk0YrMdjctx8
-JOSXYlNZ04qB6XhRl6oQCU2w7XhKeYdB7clUR3cxEtIyWDIW6MTg+pR38pvj
-JCQqfFjqcg8G4+jgwg1NEopgpdkqD2Bw9gnP/WcXSejvi/gt3q8YPKduE+sw
-IiHrHd4yxEEMzNOGDUTsSWig33O/+w8MPiw8rOoJIKHwYj2N8TE8Ptp3tdfu
-kFD9Hl1/p3EMYrM8xsSjSOjGOs/89wkMzulpcgY/JKGmZwfyc6YxyMpVKHqR
-SkLlt5e6FokYbK6Jqn3OJKF/rFl7VMgY1Bdseh0uJiH6mtCdeVQMeDZJ200q
-ScjDSTrz3QwGPoaD2aGvSKho4aX88Cyu11bVx8G3JKQk/EV3kobBPZMsN4b3
-JFTXPds8OI/BVEk8nXQfCd0MzmEnLGCQY+4qE/2DhCr17sm5LGHwr9y4s2qM
-hFb+8CwdXMbAmumc/c9pEtrXOeX7E+dGK+m17bMktN4rURS9ggFftVCSwhIJ
-EYUX74uvYuC7nfWQ/QYJCVb77q7F+aPtKsTRkdGVgHYZ5TXcb3UTZvXMZGR9
-ccd4Bc5xOz/P/WYjI5u/ZiKC6xgQHSBmFzcZJan3fA/EWaOhdJ/KHjLi7wth
-68E5b1d6vfM+MppSDi/j3MCAzjlG/+EBMt6vzdTo4GzT7DeNHSWj3V19fP/N
-f5s4He8SZclI7vvJD09wFnDT5+dRJiPnVOXe/+bLNwmnK5AqGb26PLj7v/ly
-j9Ty8W3qZORQ9tPxv/my2LOy8rfaZCR9bykhDeeAHS7HI/XJCFv/9CAE595b
-IuUXTMiIFnnE3PS/efbU12MsVmR0QLRqShznIOPEsk57MjquyC83he//41vN
-Y/ddyMj4KZt8Js6SsnRluh5kdDUZ/dbC+XZWgxS7Dxm1/rBWJuHx+czuXdp7
-i4z0MjmO38H50O3DUkkhZBTjtQ1jwfkOeazEIIKMntsNDf03zx8wTz/KfY+M
-3CfPRqzh+hzpMCwZSCAjs5nvZXY4f81rLTZLJ6PbztIeO3E9pbhuH9mTTUYB
-o8fm9XH9w0MViocKyOjC4u+h2EVcL5uCIpsqMvrTO074zz+R3TaH99WTUfRh
-5+IZ3F9DJ/mKRjEyOoi2/1ydwyCaL+bllU4yCk5j3yDi/hyORIcO9JJR7erT
-L324f+UWVwun+smIUf3pUDEFg5E+t8Krv8iI65X8+TMkvJ7d03lxYwXX5+gl
-wmc8f+JX6SVlN8no5a4lHsvfGPx2bi5Y2EZBGyGuFl9GMUg4J1Vwk52Cviu3
-Pyj8ifv7D3t+sAQFnQry/9yI5+9p93bxM0coaO/Wi3e/8PxO/nYn7580BV1j
-eea+/hkD1bq53LBTFFTHVlLC0ofBk+ufcmIMKehurahSYjsG1OF7otrmFHSC
-UWbSoA3PX91zOay2FLSpkrJ9+1sMZg/WZD+4SkFUBtaHl1pwv46lZD0KpSCJ
-CKaB8zUYrBiZZ2aVU9DPlZVbnRkY+O3uMv5ZS0EYc9a722kYLPScYhNspqBS
-Q9Qm+gRf78K+4CcdFBT0QLXsTCJ+HqUp8wejFLRv46kgForBF0E/nmAuKuLn
-f/2hyx4Dw2+T3Q0CVMQZ+CAxyhr3V4pZxIoIFQlJVDvJmON+Zj+14H2UipyF
-L4ma6mPQtrXto5s6FSmd8vkwehqvj+OJcab+VDTN5qtE5sH1yd52PuU2Fe29
-qxGRw4FBpbXvxqdwKtqlXHpOixWD0i+mVy8mUtGV6wuLV7aaIb9DWFP9JRV9
-mrnI3E9shpSSEnq5ISoqqbTnimloBl/fjkB21RnUuoclbUunGciajHvGzs+g
-nlfn7u9WbwZ7IbWGWu0ZFJEWtch5phkuvWtasTKZQRsd0WxTx5vhEH+5b7HH
-DDJ7Me7xmbMZRppSPDWfzaA3YxJRtQNNoEPv6BC2NoOcnZUqHS81wZuvz+lM
-/s2g8DXJMz54P6Fc8iPrEOMsumVyUs77NN5vGJuM9HHMomUjW7kzeP9B90LL
-SuTgLMoRuJXGxtQEr7SlTZpNZlHqcy6/sPpGEH24qbVcPYvan+clRXM0wsqE
-0eOShlkU6tqqUczYCF3KJWMOhFlUQN27ha03gN+oRVDv+1mEYjRMKsYboF26
-vqRwdBYJpXJXtL9qAPde712Wu+bQb/7BvgaLBqjeOd1PuDqHwroFFLyS6yHa
-TnX/zRtzyHJ1g9Epqh6sah57HL05h5Y/rXVfCKgHRit1pqehcyif5ri336Ye
-TItzTninzqHjFXbd3Ifq4Y+WdZr4uzm0sNrIJtn4CsRa3aTVd9OQE61CyfBD
-Hezn8fa24aYhlsG3SgVYHYg4B9b489HQRtznhrGSOhBkua9UJERDGEsdJ//9
-OuDRLUG7DtPQamgV0ftCHTD3z+h/U6MhHY27/iP1tUD+7ePl4UtDXrwZDBfi
-aoAoH1wd5U9DTJzvHlffqoGpyIil54E0NGGUfX67Uw2MS6YEfLpLQ4Sr6u+u
-na6BYfe60BPxNNTQ0iDORa2G3oXVJLoCGvrw8pfjZ41qqKIPqUr5SkMJw0mK
-n0iVUPrLfTrgOw3NhX4rqxyohBeYubDNMA3lKEcKBkElZPgr3Dvwm4ZOCqZV
-daVUQjSZYv9qhoaIvS5vHVQrweqz5e5vjPMo4azDXcLeCmDKVb4hKD+Pop1t
-rEsUSoHurmTBluI8+qrkJtvKWAobVjw/xpXnUaXzlcelAyVA46VplKrOI521
-HYRF3xIYulcockZnHm3XrrhtUFkMFd58vbYO84iPPWXz5P4isFBbkspNnEft
-NSN/lYcLgI2HLXA4eR6Vt2Yz8GcXAGFK/B3fk3lUUKZ0tOFKAUjEG9nEZcwj
-85txfufJ+TD7tfqBX9E8Ejfp3QpayoNwD+9ZjdZ51Pue3tv0bw6Ups5WUFbm
-EVNAryzj62dg6868eWBjHt26p3tlv/Iz4DwjomX/dx7F0kcLYhXp4P/74ugA
-wwJyWeHR8s5Mg7PHynYTdi+gtUusRT0+qfDl7TXvpCML6BzfyEUBpkcQ+zii
-pevYAjK6dTSD+2YyqLg928Eku4B0hhm44iYeQjZ7d06g0gKej9qZM2+SwN38
-yGdH9QVkv8j+YoUaD0JHz4lkai6gf3PFm3ltcdD318J9UGcBcT/x0NJ4dh/v
-V+/R6xksIBmXGzxuF2Jh6mbOpWhjnPkewZRADKRpNaa/NltACkYv6swpUaAn
-+Glqw3IBXakLi2/BIuH/34sh6v+/F/sfz7K6AA==
- "]]},
- Annotation[#, "Charting`Private`Tag$197751#1"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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->{{-1.148, 1.148}, {-0.11320019160422387`, 0.}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.8577935124961348`*^9, 3.857793564055354*^9},
- 3.857793600161285*^9, 3.857799955432135*^9, 3.858849760373335*^9,
- 3.867387207845401*^9, 3.8673925806357822`*^9},
- CellLabel->"Out[39]=",ExpressionUUID->"2d0442be-aad9-4e64-bcb2-9c95e259b44d"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{
- RowBox[{"dat", "=",
- RowBox[{"Flatten", "[",
- RowBox[{
- RowBox[{"Table", "[",
- RowBox[{
- RowBox[{
- RowBox[{"{",
- RowBox[{
- RowBox[{"ut", "[",
- RowBox[{"R", ",", "\[Theta]"}], "]"}], ",",
- RowBox[{
- RowBox[{"uh", "[",
- RowBox[{"\[Theta]0", ",",
- RowBox[{"{",
- RowBox[{
- RowBox[{"g", "[", "0", "]"}], ",",
- RowBox[{"g", "[", "1", "]"}]}], "}"}]}], "]"}], "[",
- RowBox[{"R", ",", "\[Theta]"}], "]"}], ",",
- RowBox[{"-",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDuh", "@@", "prep2"}], ")"}], "[", "1", "]"}], "[",
-
- RowBox[{"R", ",", "\[Theta]"}], "]"}]}]}], "}"}], "/.", "data2"}],
- ",",
- RowBox[{"{",
- RowBox[{"R", ",", "0.05", ",", "2", ",", "0.05"}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"\[Theta]", ",",
- RowBox[{"-", "1.14841"}], ",", "1.14841", ",", "0.05"}], "}"}]}],
- "]"}], ",", "1"}], "]"}]}], ";"}]], "Input",
- CellChangeTimes->{{3.857798188313401*^9, 3.857798347803872*^9}, {
- 3.857798386173272*^9, 3.85779843463806*^9}, 3.857798498879446*^9, {
- 3.857799963401471*^9, 3.857799963481606*^9}, {3.857800512180058*^9,
- 3.857800560172215*^9}, {3.857800721720798*^9, 3.857800722555232*^9}},
- CellLabel->"In[20]:=",ExpressionUUID->"47f1d4ba-afc2-44f3-aeb8-a071f0e8c4f9"],
-
-Cell[BoxData[
- TemplateBox[{
- "Power", "infy",
- "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \\\"0.`\\\"]\\) \
-encountered.\"", 2, 20, 37, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722803788*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"a415b118-1097-4155-84e3-609dd9a85a38"],
-
-Cell[BoxData[
- TemplateBox[{
- "Infinity", "indet",
- "\"Indeterminate expression \
-\\!\\(\\*SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"ComplexInfinity\\\"]\\) \
-encountered.\"", 2, 20, 38, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722809969*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"8871feea-390b-4d51-8323-ededa45e1a08"],
-
-Cell[BoxData[
- TemplateBox[{
- "Power", "infy",
- "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \\\"0.`\\\"]\\) \
-encountered.\"", 2, 20, 39, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722814191*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"d90fd7e9-775c-4fd4-8a1d-aa407ff8abe4"],
-
-Cell[BoxData[
- TemplateBox[{
- "Power", "infy",
- "\"Infinite expression \\!\\(\\*FractionBox[\\\"1\\\", \\\"0.`\\\"]\\) \
-encountered.\"", 2, 20, 40, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.8578007228181067`*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"e5d7a12d-1671-4c8c-989b-ec0f9f4c67a0"],
-
-Cell[BoxData[
- TemplateBox[{
- "General", "stop",
- "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Power\\\", \\\"::\\\", \
-\\\"infy\\\"}], \\\"MessageName\\\"]\\) will be suppressed during this \
-calculation.\"", 2, 20, 41, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722822015*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"bdad9088-50c1-4d40-ad09-4fbb47c24899"],
-
-Cell[BoxData[
- TemplateBox[{
- "Infinity", "indet",
- "\"Indeterminate expression \
-\\!\\(\\*SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"ComplexInfinity\\\"]\\) \
-encountered.\"", 2, 20, 42, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722826229*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"4c080a0f-6df2-46f1-bc2d-7a054fb75363"],
-
-Cell[BoxData[
- TemplateBox[{
- "Infinity", "indet",
- "\"Indeterminate expression \
-\\!\\(\\*SuperscriptBox[\\\"\[ExponentialE]\\\", \\\"ComplexInfinity\\\"]\\) \
-encountered.\"", 2, 20, 43, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.8578007228301363`*^9},
- CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"cbf1491d-6d6b-408a-9961-e6e37a65a0a6"],
-
-Cell[BoxData[
- TemplateBox[{
- "General", "stop",
- "\"Further output of \\!\\(\\*StyleBox[RowBox[{\\\"Infinity\\\", \
-\\\"::\\\", \\\"indet\\\"}], \\\"MessageName\\\"]\\) will be suppressed \
-during this calculation.\"", 2, 20, 44, 31744836097784098248, "Local"},
- "MessageTemplate"]], "Message", "MSG",
- CellChangeTimes->{{3.8577983123714857`*^9, 3.8577983481073313`*^9}, {
- 3.8577983924013987`*^9, 3.8577984348895397`*^9}, 3.857798499124028*^9,
- 3.857799963743845*^9, {3.857800520949853*^9, 3.857800560536428*^9},
- 3.857800722833908*^9},
+ 3.871630254768821*^9}, 3.8716304278287153`*^9, {3.8716312511595173`*^9,
+ 3.8716312558499823`*^9}, {3.871631307414646*^9, 3.871631326008296*^9},
+ 3.8716313890517387`*^9, 3.871633035236746*^9, 3.872232484200904*^9,
+ 3.8722326877670507`*^9, 3.872232744803054*^9, 3.872232822043681*^9,
+ 3.87223294392085*^9, {3.872233009055416*^9, 3.872233025832799*^9},
+ 3.872233187762746*^9, 3.8722332247040377`*^9, 3.872233388756542*^9,
+ 3.872233836144418*^9, {3.872233886469149*^9, 3.872233911922018*^9},
+ 3.872233954033169*^9, 3.872234657727256*^9, {3.872827739501729*^9,
+ 3.87282776748412*^9}, {3.875951503161869*^9, 3.875951569735404*^9},
+ 3.884691802873703*^9, 3.8846918532524557`*^9, 3.887186743416803*^9,
+ 3.887186819461278*^9, {3.887186878027606*^9, 3.8871869938232822`*^9},
+ 3.887187474086*^9, {3.887187655128037*^9, 3.887187678918461*^9},
+ 3.887187744969038*^9, 3.8871877776872168`*^9, {3.887187917169589*^9,
+ 3.887187949227336*^9}, {3.8871879838276787`*^9, 3.887188010158411*^9},
+ 3.887188089249675*^9, {3.887188126546927*^9, 3.887188177721342*^9}, {
+ 3.8871883124067802`*^9, 3.8871883283898573`*^9}},
CellLabel->
- "During evaluation of \
-In[20]:=",ExpressionUUID->"c77564c1-0ba4-4c7f-959b-735db191f7a0"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"ListPlot3D", "[", "dat", "]"}]], "Input",
- CellChangeTimes->{{3.857798331339851*^9, 3.857798408044902*^9}, {
- 3.8577984525422287`*^9, 3.857798455477908*^9}, {3.857798506736068*^9,
- 3.857798506966638*^9}, {3.857800075459915*^9, 3.857800079723517*^9}},
- CellLabel->"In[21]:=",ExpressionUUID->"c6e27107-d1c1-4def-bce7-5bfc77efa117"],
-
-Cell[BoxData[
- Graphics3DBox[{GraphicsComplex3DBox[CompressedData["
-1:eJw0mmVUlO/btSkVLERpBQmxUFDhh6QXJYIBgiApCiIoDSLdjUh3d3e3J93d
-3d0hBiK8vDz3/xNfZg1rzZrZ997HedCr6kl9wMPBwTm4iIODf/R3r3xMR43J
-CQ1+ScJzOqAF15WEk+L8S0DdQiN3UsIIeb4ldntCexfecZVX/fBchFB6qual
-7muAN23/svczO5h8vhtwrmcBQgW9KS4EGsEQ7zpZ02cuWNJ8mWZ/dgEaXnbi
-5oIDfByWpxgM4ANRrdkAMp55+LHN7yaW8w2oPPLq6/X5oZNRpf6L8hws4p+T
-XPDyBeOn7Uw+WQLwqAEWXxrPQnrD3cRop0B4RBhxscRdEGiLpVvl7WegoRav
-tpMrFGa4Tt76QyQEmo2vpZ7bTwPfX/dUk/QIEB+LXnrFKgRe4T3Ptr5MgVPB
-bHqzbjR0G9GunscVAt6XeT8Y3kwC5dexRf/5GCDHLSDJdBQELzdSjXi9cXht
-cc8tlC8OLvx1LVoHAWhObbtMdXYUBNzGPEY+x8PGC4ql6mJ+KNB/8uCE9xAM
-5M3+lHVLgJuxj5hClh9B0TIipdnvB+q/j2uJrRPhnwOVRs4vHijeGqk2kuwF
-ore4P/GkksDOsoa+IIETeo1bGb/6dEH8BPm3+yeSYcZcoKMN9z84W9qbHWTZ
-BsuWzs5hQcnAQa7zSJnqPuixCmpz5DfAKMfLOX6iFGjD89nY2rkFu4f33nl3
-VIHlOaNkeoUUuHQQL5yhSg9kOVUjVKlF0ICz3cH3NQWeynyKuf8fCXwLebk5
-xpIEFReaFQNCUuAT0dX+LtrqR4triTLEvCroHd/+s5uuKfBFVNpNTuYiIrf/
-8LlcOgVlObtG/5RJgd+8HQSUm/SoXrG4PLi0GKWu6srj4KeAPzE556blbWSl
-ScDdIVONJPWyjB97JYMr83ZLvcJ9FOd6Wr7oYSOKP//0d91eEkilu3gKoP8Q
-W+7H8bT9NhTb/Gjc7nESrP2jCpMb50S9T88QenV0IfE4j5tmeomgb3DKJv02
-L9qhOsnI6tGLEoI5BtJME0BFYLmYggKh+jGndMn/BlByKtcylUo8jIlP31Jq
-4UcMlKbnHOqHkOxQoErNzTggUSKvsmwXQNmfDWJL0CjKvSbOl9wRAwca5eHt
-noLI6TOt/LPocVT67a1Vo0w08Ed9mVc9KYQ8DNyyNj9PomGGQCFR4wgwENCr
-tWEVQjZuIb7/uU+hoA/0MsaHIXAv6ff1BAIh9KHl8jhh4DTKmHrHevlJIPCK
-UgX62AqimfJfjIH+M+hykHQ3xwtf0K26figSKYCsxjZxLrvMouYzfyx8Gb/B
-2LCCPbE8P+p2U8Kd0ZlDe4o5s/G3HCD7co8tgTwfOslp/1ZYbB4t8MVXiMl/
-BlJylpcXbnGhbtB4GUG1gEKHbn/6MHINLdqGuVRRs6NqvUR7yYkF9OKk+ta1
-jC9oy6rrSrj4HaSUJy/4PXQR0S3KNTeNOqE2yqvz2Qw0SMJJzXXm2RL6v9wI
-QNZvr3jsa/FC/AkVvXjXFSw3HFF2YklxaN5T0O7S061rWMZygx0sNTd7Raqk
-AH7jaF/4u4TlhiMIs5to4cjKAnGpyTU5hiUsN/wgyp169hG9Ihjxyys48S1i
-uREO5fkJVOvXleGMZbio3PMFLDdigXiKi6L14Tt4+Hm3wVF8HsuNRNgpz1TO
-xFUBoZshFJVCc1hupIJhxKsTRl9U4LZG6nI98yyWGxmwqm9CXRCkAt0tG/qq
-J2ew3MgGyYGzbE90VOC9XUSWTs8Ulhs5kEZKj8f19x3sjCg6jfhOYrmRB434
-r7baRN6B9UJ2obnbOJYb+WBO4m+4k6oMByeco/y7R7DcKADKUwo/iuSVAP/1
-i61W3CEsNwpBzelBskmCPMjjhWm8ouzHcqMIHFceHJ4MfQ0t7F9Smil6sNwo
-hj3E1Woi9AouutIMSuB1YrlRDE7M+Ut0ShJwPnXU509+E5YbJcAyEy7s3PoE
-/tV8RQ0iNVhulMC1cucmv2kEv1w+7J2xL8FyowSm7v4VvOXFConQUxeQkYzl
-RgngFssddkZMPqqWSscns9DGcqMEupXcWbo67iHK0DhnfO50LDdKQKlK4ecv
-Q36Ed7XKZkioDMuNEnCJPzfK9FQU6Ty3TTx9rRbLjWIo/THjSd4rgZyvd5By
-eTRjuVEEImcjJ7osXiGDFtZeEa1OLDeK4G9p8cVfba8Rk0Ks1T/LHiw3CgFH
-Gsf7Ya88qnhI28hm1o/lRgE8HO676WSvhBKee5wceTOE5UY+RNJ1RBG3KaMP
-A7e53t0axXIjDyIMZ8uuS79D9UZsFvHD41hu5MD6F0sVewIV1FZ9Z9G0eBLL
-jWwwP4vz55ahClIcpdv8uTuF5UYGsIlYS44FqSD8Wmq8eqYZLDdSgGX8BaeP
-vgpi1PabPXwyi+VGIhCLBk5+/vUO1VHGvR1UmsNyIxY0Kwafbt14hzpGWSiC
-1eax3AgHrcBtOb2/b5C0iNTX4LcLWG74gex3r0yTJQU0ZK/6TkB8EcsNB7BO
-vShocVEWiZ3JeX3q/hKWG+xoiQg3MFhPCl2MdSzVJ1zGcsMJCfGMJTDviiHR
-Z0zS5/uWsdwIQGnifAqJRdyISRs4GgNXkGlYazx5cRQq9gla+6EmDkHUq9eI
-f65CcvYdRzdjT+Rlq9SH56kENlRF4gvMq/AxlylLmReBjpnXBZvzasAr+fDt
-kPQKLL6XY6Sc8gT/2w84Mnc/QqC6iriX/jIwmxXjuUdFwApHxKEgvg7UGysG
-PrRZgoeFm9d/OSbA3/ULdFJX9cEqUB4v33YRxpz8/gwPpEHEwvtTW7IGIDD0
-93Gj0QJUycRacs5mA3GU0t1+VkOwe2Xd+EBxHgIv4fkppeVBg/kAxKcZAqlr
-73IB2xzo7S+CvEAhrP/HoiPSaQhCq6NptAczIHpBFv9eYjFwrOhkzscaQtX9
-iNPPSqeBSeL5m4mhUqii9SBZv3n0Psmsffc+TgFeSWObxmg5EDTGOPzTMAAZ
-Ge+Tc6cmYfpFq3RTxneIVaQIW/qgD5VkvymfsI3BlDPzH9wblZCS2lSjJakL
-YMHAmskzDNKW7D3u45UQ6OCE6HS04JTsRAf/7QF4csqO096qCi76VIsGMX8E
-nltW1cU4vVB2g+TWHH41RGrxMpaEqEGQLseDl1WdkD02G59vUA2zhMbPEmvf
-QRyN33PXsWa4fms/bbO+GuijnpErfZaHb0aJP6Moa4HmtOyjEPwawH0tdPnr
-WUnIO0i75mhcCoG2u4qZN2rgpeWdro0JfjBncqG5xJECnt8GCO6x1cAqkZT9
-6bqtRyPufXbhh0aIiOUfJ+31o9eXCJ532BNAsvKhuD4GmYjgg/pvU5waMDMJ
-fsAZJInWmsLD0s5VINv7l4T4q6uhXmAsOu+PPJp17NkB5Tpk5YdPZaRVDTgP
-TzU0H/0eN7W1hy5faUV/vz40J92vAiFRH839PjX0JCW/okuxC+1RZKnTG1UB
-3r4LI8P7j2hC6lynZUAvsuDWHA/tqQRcob1K2igtVF7IdF6leABZbn+csqWu
-hNwa2tlzVrrI8oyxrEz1MPpn83oi0ec73JnZKbhuqo90bwTR5OWMIXwR1YtM
-FeWQ6/1MX8jYAP03lvgsSXASnX24q2hZVAqdF1P0Rh8YojceikH/RU4hilfE
-5em2xfBf3bAgXbIhuidWvvh6ZRpdC81+UEhZCHgZ+boGnYaoWXVU4tTtWfTg
-7BAE2+TBoO4wo1aiIVpmtA39oDCHBFNc30sXZMOZx24/5q4dvb+rKn+G5TxK
-nbbm6f6cBhm7Kl/3RQyQg/BJk/s+C2iwcW80gzoByhofKF0g1Efebd9q5YMX
-0W+i07Im38NBdt++IbxBG53dPPCK9l1CI0rG4esnPEDC9XaSRvpHpF8VRB5g
-u4w+ilTSUIohRKpgF8JU9B51qanirKquoFLHswUjAt7odmCmlFK1IpIPpPW2
-415FVJnVskEfopGd7Mrr177PkRx38s2Lp9awvpGABihSVi5fUICwkL/8PATr
-WN/wRytE/yZELD/CfR+b0kC2NaxvCEPNIK9I8wMDeGVKRUkks4r1DX8g8/hT
-S6XxBbjpNgdwPq5gfSMOHmn9sOmaNIVIfmbm8zrLWN9IhzOE+kJPEy1ATkPV
-UVBtCesbuaBLIoaj+90KmqOlXUxfLGJ94+h5HX6uOOueDXxpkLlgeXMB6xul
-8ILra74dni1Ultwco9idw/pGBVy79/TfMr0tEGntidPmzWJ9oxJ+2JXdPPHT
-BkKT58gNVGewvlEF13zr9Qeu2UDbjcwNQvxprG/UAP9Dyn87Q1aAF3ex4J//
-JNY3aoFP8qWPwlVL4LxE943m/jjWN+rA8Ml7Y8VDMxAPry5+fWUE6xv1oPA6
-R93L0QQUOtdDfqwOYH2jAaTHaMw7Sozgc0LwTmV8L9Y3GkE//frFu6kGQCKi
-K3JapAvrG40gE//TvadKGy4zrFG+SGrB+kYTmHffjBjv/gCtmSOvx2Jqsb7R
-BIohzC00fG+Aa/4SYcPJMqxvNIEmq0VY1OZzIG1r+IUrmYL1jSboIHCOdDU7
-eNTyacmEQtoS6xtN0C7QKMjbJ462AjJoae5lY32jCeSXtiV3biujdd5ozXyn
-71jfaALdzGlyEhF1ZHA14Cy9Qj3WNxqBblhNs5dVB1m9J5zxkmnD+kYDlBNz
-DgyNGSBurRifNvJurG80wPLXt4T6S0YohWuIrVenD+sb9fCBtJdAN8sEJXxg
-XbuUMYj1jTp4bv2rqu6aObp8trNPvHsE6xu18GjpKV7sI0uEz9JX0T4yjvWN
-Gkgxlv2ku22FvAhXk1lmJ7G+UQV/9wK9Jv6zQcvz39nCn01jfaMSBrKUyP8e
-2CBm3nlyvPgZrG9UANvO+Bgxgy1iz+fVVF6bxfpGCeiWmOue27dBQ+elbXpv
-zGN9oxBKYV5ljcYGRQcsnUl6tYD1jVy4/r2LXiHGCsWduwtsBotY30gHHAX9
-RA1rC5T4dKBl03YJ6xtxcL1F+GNahin679+eso7DMtY3/EDV85SR8M0vaF/+
-zI6s2QrWN4SRFYW39cyCPnIR5D0Z/X4V6xsBiPyUxVZCmwYq3LrU5CS0hvWN
-BERz18pj30YOJeaGP3CiXEecd2TcKnRT0eCZc8xsbe9hQCgakY6uwyQf03qD
-aggimpH6pBpqCHfOzBQGnVwHHM0o3vhTT8Gx5zc1HYP50fdCe+4ewxrwvzKi
-8S8LgYJio95WQVtY+awucHh3FX6rCdtHZiVDj9aVgLp5e/jKp2pJzLwCg0GN
-u23rORA/fb+2FdcJtobuu2VRLcO08EumKbYieBH99QpjiDN4C+yP9/9ZhECu
-kg7CG+XwgOanhUGuC6wV6x6otCzAfqmdOYNaJVgE01VWv3IFnb8N6Uye83DS
-Kqi52b0aspa+xFk5uMJLqjzFPYE5mJ+mkbP6WgsvpAhClUVd4Xf/vEbd/AxE
-rpIycr+rB1mJt5kGKS7Qz7EyZ2c5Dcyhlsy45xphQ9Ne+WymM9D9/7zDnwKf
-FWmDbu8mmD6Xb9rwxgmekDUolf0ch9bJiB8ZK83wWPLjb9NKB4i9EGX5rnkE
-Js1kC/xoWuFUJ+PM3XE7uC9R0zBgPwgthXZ5Dtfb4N9m+VNRaxtQ9SIq2qXv
-g29BVzasTrYDeXnruOuAOfzN9COhSO2Ca1dufrSvaIf7ZE7XOIe+gJBa6/oT
-3lbwE46n9XnWAR7RzCUZ/vpw5alGJTl+HQxf8LmYmt0BSVonx2c41GFJd6Ji
-8F0Z/LZdF2pb7QDTcyJX6vdl4Dfulq4nWwqs+pfn7h12wAPZJI+nN04hSyPR
-i6Fzdqj4+V/lB8sdMLUapv5TWxY9c2XRyiLOQQrJqaJGaR1w8EeQL3BFHS0Z
-51uJtQLqTWrWqxTqAG8tAXW2VX30jYma8Mq9BsT0TLGXPK8dfsnSxrXcMUY4
-4ZESzG/a0XNfJWOTP22Qekvr0fnrFqhasV22PrcbPbVql5kmbwNli3u0SfU2
-SCDicxMnfT+iP5tjKHumFTYtanbhwA4tBiW6nTcZQu2PCNr6+5vBfOTjnflR
-B0Qi7E34K2cUSZE1qr0zawLCF/ts7l+c0IFdt+ndzgmU7rXP9WO7AdKlJeUS
-Kp2Rk/0dB86PU2g8I+a5r1A9sHByvlItdEGeX08E7Q9Oo0W9onBuraM8vhum
-d1fCFf2aH8Rj555FjX18t9c+VQOlW1h6gYMreilefX7cfQ5ZT7DvpqCj7+dq
-5uTOc1eU9s6/gL59HlFSc/2dGiwDX6Py0XvxLoi+u4RPFHcRTZcvOTtOFgLJ
-IpfXGQdnFErq6FXCtISUkyw8eAJz4M+c6A2bGUcU8+/Tpb88y+h37hjN+R9J
-sHqp9+ES2KOdstn0XOEV9O7FubvhrMGQ8zx9mPiSLXJd+FuWy7+KcLy/1Dy6
-+BSdi3iWJJFthsbIv/y4f38NTbrAXV3KMMTco6lRQGaI9jYMM1cp1tFNhg3e
-/VdpaLWEY5MtQhW5JawQEP1YR8bHOyULkbtYcDBPaMHNjtqfNt4bkHi8UyIR
-hd+QqASrOcSs9wk9LloH9eOdIgEaqDNEQc0eDBJ/WtC0r8H88U6JBBHr7lml
-GWdIFeyaqO1ZhVvHOyUDWPhyuXtDv8JW5tu48aYV4DjeKQVQZmrM/NXHAzLj
-mZ7i5izD6PFOKQMdXjvrmXYv+JrIJSjitgSVxzulEkg4fBq0Mrwhm13iToTU
-IgQc75QayBEJ6N2h9YH8S1PDc2cXQOd4p9SDRuP3B+78PhBLm7t8UDQHT453
-SiPUtEk5bJD7gB9R0Hjnq1m4drxTmuHRYq4meZI3MJ5TYpabnAac453SCitU
-L6ykVr3g9KgJUdabKZg63intELst+gn3kidMVozosARPYDulEyxZOekE2tyB
-Nat28qTcKLw63imdUNxoFaN+3Q3kos4J8u8PgsjxTukCxTi/qjO3nYFJ7OzN
-Auc+KD3eKd0QrhDhfHLWHnIGfONb/nRB1vFO6YaPF38SVVVaQ8eHhpdb2a3A
-dLxTuiGHqdgk/LUJsN78xmfyvA6uHO+UHrhS+KQhRFgPQlglbB6Hl0HA8U7p
-gSpZCvfWbWWgW3SX3dlLBo/jndIDlrg2962eXUBSbc7EfU5OiPB4p/SAU/Sb
-BCfLd8h3ikMdbyQH4R/vlB7Q0Rb7bEqvj6Z1Qm4TmFQim+Od0g2tfpqJbV0m
-qECGMtZ1pQFZHu+UbnhsJPBajcMG1VbMn30s2IH2jndKF0wSUWmIXXZA+7Tz
-yVFcPejP8U7pgsTxAds9JWfUbBtrXV7Wj8yPd0oncBa5Lz2SdkNJ+D9Ena4N
-I4vjndIJrAyP7wrvuqPhc/jXgwzG0P7xTmmHbz/eBxqxeyJl0ioyr5eTCPd4
-p7QCO7/9IsL3RkQLQXPzg1Po9PFOaYbKDxwN97O9USS5dIam5AwiP94pjbA+
-zUtaetkHvfB2fLlUMosYj3dKPXDzO8fm8vsgFQpDMtWL8+j+8U6pgeGcMt5b
-1D5o+BmL2YHCAhI43imVQJO3+/N9nDf6nViles5/EaUc75QykBaaw2nJ8kL9
-qcLGON+X0MDxTimAkpzQ5Wl1D0T36SBae2gZ/TzeKelAHKrxjl7tKyKG22wX
-FlbQ0PFOiYC4FzyczNHO6HBXZnxuYRWpH+8UCTRXfuKsAKk9iv6ZlWwytoZK
-jndKNLqlJFbqZWSGzlws/03WvI4oj3dKNvrXITQhwqaJ5mT5zlukbyDFEwyT
-Rba5yOapBul/YYYgwsmzvka2CUUk1B5MdTEogKHLecncDm69Ub6SJbEBGv/6
-vL9xSsEkT++GmKcrrNQJ03irrsMT7khScfxYEM3d8T/t5Qnusjce1aiuQaZI
-YFXZkxyYaXETy672gT3F9PgwqVUI6KWUo7tcAoZdI3N3K/xAbvHuLD7bCmi9
-X1Ff5qsEtiruzDWeANjzdt/jIViGwvMffVbza8AumO2MgHAg4J4ljxWtXwQW
-bfu0wO16sIpvN+8bCQQpEUZRMrMF6LfgLlj82QSraaKtmYRBYP7ws6rzlXlI
-4fPOnK5qBWKqVkX6rkDYH/mV75w9C2k5DkGOrzpAn/G2eCtPINx6f7bl4n8z
-sKJ1mnOhrxPq//i1+kkEgFt5d6dQ6hRQDdJfeTfXBRUrr/jDLvkDv0DBVYUL
-k6BEQ/j7zmA3DPo5eyIvX/j81DTXs2MUingqWl5k9sBj3N5XJM3eQJigyqan
-OgQ32QSCqjV6QbFGkj8yyAM8qj0ZHoz0QRa+v4I7QR9wvJ5QA043MAzPVRbk
-7YYXGQVkyY59YOju9zHYxRFSiDKpuEnaAPcoDCkX+4BggGFg6aYNWDVWfw91
-qYNW9w+fx1j6AZ8sIj58wgiSl7rnrBrKILNyh+ynXD+M6ZH9wElRA7GeMeJX
-pcmQ2P4yW1W9H9JqeLVtq8gQGXtkZuWcKyoosBRklO2HGAaI/4WnjhgeiAkZ
-+eaioS8mrQ+Z+0H8kl+RutsXJGTIy3XrdyUiIxYQj57uA7NzVXxqbTYoCSds
-JNinEWnYDTUoWfWBCGGWBl2/Ixrs/qMjcrITdbTyc+n87QUOu31VF3s3ZPB2
-7LxOdg8S3zKO7VLqhTc8aRWRIx4IJ+TprxShATS7boH/NaYHJnDjyNMXvVGf
-nArDj/Jh5FMnoRTY1A0mKyKWuym+qF3MN7KPahy9+rKd/rO3C2Lr8Ss3bvkj
-zoblP+zpk+jOwfvd1JpOSK0Rfn9OJQA9WGDXSOOZRpyVolrqzB1AmjG7/+NJ
-IMLpr9CaLJ1BIhwaI7SBrdBaYfTPeSAQ7bp2yUXdmkM2yow8Ng1NIG3i8HmG
-MAiF2xL8mXOZR7OcVl9doB4mTWY69PoC0bJuwvR43wIyrTNqemhdA0Evt1NG
-OQKRgl2e7tilJcRJcPq3F34lRClOODDfCEAfPHUFlQSXkeSy2R26qGJQ9t32
-zI/2Q3S5L6YOVVaQxb3Lovq12eD/vkfvTqQPWl2msIn+vIpuF2440a1Hw81L
-USek//NEazt7Tz6YriEN6xPlv5EUKqwU4pdjdEUBZM8/PTRcR46PuV7Z/opF
-5iaGlY8ObNHNC5ErF9U2EE3LOZ979Hko6+e+jZeVASqJfDFBcX0T4xsFKG3n
-07D8vAlEZSYIPFLYxPhGPGpWu09AZOQM/x1Uc/7p28D4hjQ0jbjmVH71goVb
-5U6Wc+sY34iHKjFbe8VoP8ibW+uqmFzD+EYe7NTa6PN0BgKBeSLrUPMqxjfK
-AV/xkLRbIQQKfe5IUCasYHyjGrrC9s2NRcLg7C+V5Tm9ZYxv1IOj0PqbfyHh
-oOPe9PEN8xLGN5rhmZRlVY5SBDx0icc1HljA+EYbiF/jdHsRGAGHJcqKVEbz
-GN/oBAs36Qvb4hHw9JBXjA13DuMbXSA39qaKziscImPfTX23nsH4Rg/s0m5n
-5L0NAw9SDcvu1SmMb/RCMqHZ9f6mo31GMkOX9mwS4xt9sH9jVPJffxDgcHqH
-6T4cw/hGPzjtPqqb9A6Av+NbhgJlQxjfGIDC1cLLn3H9wMhmNC/5Wj/GNwbh
-exy+5/ADbzjpcr+B2Lgb4xuDUFLvQdqj/BWaKXCCNtTaML4xBN5WZkEs+I7Q
-OyJ5e6G0DuMbQ9Ca0d401WEO2gmrzzRX/8c3hqCn4dpguZsmMO+f0vC3+d89
-ZQhOnvuVT7R9GRVVid4ZmnPH+MYQdDaR/6IT0UZsa7Rp9P/lYXxjCGrtNon3
-UiwQLzfXZppmFcY3hoDjLLV5l7YjshaW8tq41oTxjUH4GP+vILfmKwrIF+2g
-eNeJ8Y0BsK2ZeM+n6o2uHK4mE1L3YnxjALJ+3S67etcP2UcNtIaXD2B8ox/s
-X134eq84AHVNaN0sEB7B+EYf/NEsT3r+JwjVMpkLNmSNY3yjFz59isZ1mg9B
-ii78B2v/JjG+0QM5f0rwrxuHoYgDzhe1ftMY3+gCBZYRHIgMR9nG105sU85i
-fKMTqj5th96SjUB7GXncfB5zGN9og0ciUsw+gRGoS4vXJXpzHuMbTcBl/ee2
-uXQE4q1r+vVYaBHjG/Vg1jsc2uQajqhVJzccnJYwvlENFPvXtFuZwxA15Sr9
-WNEyxjfKod326+IjjhBkUrhrdWJkBeMbeXAiy41aOiYQ7V31l97cWMX4RhyQ
-Web/V6Huh4zv9LLv/lrD+IY08hnd/KeC64UEjQ3xPu6uY3wjAd043fZpvscJ
-6Wb9l3lqdQPjGwVIzWl1Qs/EGAV/VrAp0d5EIUYhfy80FyGpz98z37RbwWq6
-8+/HQZtg5UjPuDCYiCj7yVZccb5BJo2rOvmNTWh7rIT/REcWukdYJq+m+YE1
-Cc6PFoUNWHtqT919MwnIF/EZCMyDgUNGTN1ach0mFE4LJj8sBOIvr286fg6H
-PSf5CgGONUhxZX9TwlgJ65x61NORUSC8b/Sl6fQqfIhn4ZmdqoX8Dpnz+Hgx
-sKDyYiCzYxlibHdKpV83wUOKFrfSvhh4iM/4kMlpCd7SOIyetmsD6S82eYwS
-sRAuTW7CyrwIUhXrEvg5nUA77jZN/DkW3lfKWJdVzQPHczu8eMtuiPtUvu0t
-EgtnrF5W5IvOgSLPHycNxl4Qcr6X+KM9BiQFhi5cqpyByq+vh18k9AEuc8/J
-SpIYECUOOrV4Yxo+cYccvsYbgGairYZU0mgYcBkW0LKdBMmnVbv23IMQ4uAk
-8V9ZBKyXn9094z8GVqXt5V0vhsCOcTuGby4UPOMtSktPD8Py1yppId5hMCD1
-Ne3PC4LkexJnCo+e98FlIRUDJ0ZgwWaTMZnNH5bcJXM+pHaDy3PZX56pI/B4
-v4vc18AbEtIdrAJy2qCYbw/30+1RIJ0JkRLadQUBa/KUX8t1wOxlP/bBaRRi
-/9YUkRTbggPRqvy7i+Uwwb/p5lQ2CuQfJTWlv+lDRWDVXWeZZOiTEjrV2DoK
-BTWTB4fa9KjeaGUkS9MTna2zkLlbMgrE06cj9WIM0DtBMvaoqjzkGBRiVGA7
-CmvPSgsu8Nsd7YXIjeH2KoSaw9XeMY7Clw1yQVwzN0TEmWE5ldiEeN44MbHE
-jEC5G3G96VH/r1mlfl2b1YlMX74qot0bBnOB/oFKXX8ksi1/itG0F/2MO0n9
-gGUYZG5dZRRfDkLnuVv1G24OoiLZqBcf+Ybg4IyavjB5GEr4o0Zp8X0ElWrR
-SFXdGIQJr0r+w7kI9H3W/184xwT6N2F7g2+tH+4taTt5XI9GSzyKqt5PppBd
-flPbiEcfFOPO8MDVGMQQXEYpPDONRJd+CUcQ9cIHnL2OnMEYNHhx2nJVZxZJ
-Wp/xsHt3tAdNieKzn8UiF7VDF9GFORT2mSDR1bcTtDb3z3N/jkXPmBxKXkgs
-IDHfuqsfUBu8zmjYw38ai7Tw/wJj4iKa+fc84IC4CbbsB+1xWmIQ/YUCXYbV
-JXR4Kyp9LLAWyKM9fFW3olHm31ClHvoVJHTXtIUgGUC75OWpxwZRCC9/2OnP
-k1Vk5vLEbsizAPCI7c1OcIUj3c1o2fi3ayiuTm7XsDYBJDS+RN18EIxK3ynq
-vdVcR23sL8m7jWXR5lndeyYyfujANKHgh+YGomjw9WpSTUbSpDc/9nC6I20R
-ZHfwYBNdOxGP/z64GK2T6P2rJ7BEih1lKmzpmxgXLUWnzr89b37THpz1khRN
-2jcxLpqCxtDrB3TEPnDCxM3c/c0mxkUVYGe85dHEzyCg91Bg+K9uA+OiKbDv
-qbMa1h0BXfjnqBKL1jEuWgzv71Mo35GJARttNwGVoDWMi1ZB5MyrAWOhOLhS
-cUrIU30V46INkLQnbXdQHA9Oj8osfjOtYFy0FX7cn/+zU5oAB6Rh11b7ljAu
-2gkLV2zKp8QTgZPmx0cT40WMi3ZD51t3u0TzRGj6ay7kfmoB46K9ML6YG6En
-nAjCj69SkrjNYVy0Hy7dYlDJy02AqmqOgL97MxgXHYQnL7qNmVvj4cbcH2WZ
-N9MYFx0CYpMuoY6gOOCW7TUTz57EuOgw1Ox+FWm/EgvzIhOCPotjGBcdBR0b
-YuOvqtGwEthrX/tqGOOiY2DTUyrINBUO77K6Fg/i+jEuOg636yUjuCKCIaTN
-2Sp6pBvjouNQ8Fr0P1wif8CLWyl5/rcN46IT8IL96tv6j57A+tA8UvxyPcZF
-J4BcXqtwXtkRCOquql9G5RgXnYAO90EIu3W0XzhDLv0UTsa46ATwSVaFyvMw
-Ia6WzPOHd70xLjoB3yLIrvNZfEH34szGxTjyMS46ARKQ0BNC4ITmaeujQ69V
-Y1x0AiQPiL2fEnkhZ60bBGcomzEuOg4z171+xsv4I7NfS2U/dzsxLjoGon7V
-SdxzwUhs4K5DTUsvxkXHQGhZUc+eMQKFeaVZe7gNYlx0FFJmt+w+2kYjZu9Z
-ghN3RjEuOgydKRdsJzhi0Y0JNSb97AmMiw7Brwnhi6EZcSiXO/y6zNcpjIsO
-gO6O7HOusXj0gPTDNS/mGYyL9oPmojy5z/cENJGSrqxcNotx0V64xCDflvE0
-ERmsv0gy5ZrHuGg3+N6inh0yT0Ri3ZrirQkLGBfthAtfOhziRBORO4FPjCXO
-EsZFW6CVpevO9NFzvnEuinpKbBnjovVAui8tWx4fjx5unx11tV/BuGgVKNYy
-kWbciEPjkhyKj9NWMS5aBJymihlu92PQlef6q4J1axgXTYZ/2Uye5y0i0Hm3
-pkzh7nWMiyqgd+ZPcew8j/ZU0KvYgL4NjIumoasllUzGAd5IfvBy7FvNTYyL
-lqED0d/9BSR2KO03OfmPuU00OHOBQvNSBRpMi7h9ptAJrGkZU8dxtkD4182S
-5NU0NNrKSxD/wR9YajWl33ptArvn9BfcWCU4vO5BLZoUDlwqpa9lL22Cv6I6
-3WvxdPAjkdDi7Y0BnI064itkG0CiZ13tf6MMqAnI/qiVxENUkffJC5trQJik
-5DldUgNWlI4cGoRJEPuF3Ope6Sq8mzMgHndqgr4zv9xPNCTDPIsGs7XRCnzb
-tp4t/9UOY/eCvYz+psD15KpF5avLILZQ5QynjvrDbtVT6fRUuN1V5LFSugil
-vPyPfdV7wfzTW5uUyVSgMPSrI3+yAEFmpRmvg/uhpPr5Wn9UKpDX8p+rr5mD
-6Yh7lWcjBsF/tigocCsFZm8M1szem4XAlFjLfKNh2J61Pb0zlgyxOGNKRp7T
-UBp+YebF1VHg8Q2N4tdJgk+6WSuho5PwxMR8ZzB8DO7/0awlT06A52c6c949
-HAdhrskMmbVxKF1mRmJHOeNtj3/JP3gYXm/REakSTkK53TOjKaEYaGzKbHMd
-74eqEokLvg6TMCEZIsuqGwFXXJ4S+J3pgakvlqvci5MgJSCREfwjCO52RB1K
-PG6HYqakCCWOKfhMJJOMx+IL+7X24oXi9fC4qYPxl84UdItqjD1XdIWDSYF5
-YZNycHv30/q01xToaLqo+l82BbqsIWHxo75hv0KdFRgyBYxDcm+mVW8hsZla
-HJxub/RAky8/zGPqKHfvPxDJMkOd5iM12j75KHj0jSeV1hTg41Nf1aZ3Q6FM
-GfcDtKpRgaAl34UHU6DQL4T7x8MXObYRUEaYNiPX8OAqm+lJwDd7rMPzMhgV
-h9n5nmHrQiTLudQfLSeBWdbwzpPaCBS0bMXgTtaHol4H+vge5ZjSBPVdT60Y
-hLdI9bl3YhC5V1YHiQyNA/mnabXD0jgkMGfwzdJzFM2QrDxZdRoDh++ZFQIN
-CWjQvHDxNfEkSn5KHOtwYhT286oJJVySkI3hDzLShik0oMmaeFZuGAqMrzHK
-biejx0pMfRE6M+iL4TNpF6uj3nKSL7v+MAXZDS6PvsWbQ7Yq79N3vvTDUI5J
-74ukVJRvHh9P4DSPfj40yZQU6AXFb1Mb85OpaEZ5jdhgdwEN7jorxEx0HT2X
-GuXG4lNRf9bPiapXS0icg0mlLqYdwmeVyHtXUlCld5jA8+hlVC/BrsJ8uwlo
-y5+HtWYmI+OiyDdxR3vkMidPgZFcDRBqadjeXUhEnT/xVRJPriHT8c+lgvKl
-oHuJBzV5xiOWe1l0UQzriKavSq0uNBWGLPJXZ6OOetSUu6X7/Q3EvhKqn5ah
-hDIvWi1Y3Q5He/bFbDGXN1Gq6GrLxfYMpP25Joq51w9lvf8jeDtiE91F3MYB
-xN8Rg4nn1bKPjshK7qo2weUtzPsCNJZA7Lrn6QaW1y41CbNuYd5XJiJhUnr+
-Ey8Ydm1+kEhXbGLe11ug5u5W9h+LBomPH7jk+Dcx7ysTIls/PiT+Fw8ntPpL
-n2ttYN5XBWw0pDV6fkiG/kPRyiyBdcz7qgOZqDzt5zRpEBxv4XHq1BrmfbWA
-2lXSHmLmDLhtOsLnUb6CeV+dcFLqD+mNwEz4mn2lqVJ1GfO+euClqnCTsnoW
-JAmZztX+WcS8r37ws02m3IvLAi2G00rf7BYw72sQHtQ3dKXKZsGKt2f5zz9z
-mPc1DAlUL63cvmZCp/ZW+5zqLOZ9jYL6RUrDcyIZ4HPmvY5E+TTmfY3D+CjP
-EoF/GniM7z55cXIKu6dMwhta7ose1ilHuVhN8tp+HPO+JoFo6MKN0xeSYK+v
-U3tueBjzvqagU0LB9uqreBAK1wxdoxjAvK9peLv8KSVJKgbSPF2Sc3l6MO9r
-GggfdC/KsYXDIX7qR17fdsz7mgYdg8Ur39UDgGe9OdjMpR7zvmageWRMnD/9
-G1wS07Ks+16OeV8zMJLx5gqfiiW8fu/8ffdbMuZ9zUCWqbe2+/RdtMl4KGFN
-4YN5XzPw7bpQiSmvNSI2OGX9qisf875mQKtSx9QiwAMFWuN/kY6rxryvaWi/
-+6C/YCAAMSwZ5bo0NmPe1/TR7tOr5owKR/LbvfksGl2Y9zUFZ67kaUg7xaC3
-X6zohmX6MO9rCr4td5L12sUjr27Ja/fvDGHe1yTsaVcrk3InIWUqDtK0+VHM
-+5qEV7Ku//jiUlCC5HTXLYFJzPsah4Cqvnc5uWloCPdN74eDKcz7GoUZoZ3A
-88oZqARw2RlSZzDvaxi+Xozl4gvLRPV+Mn1lQnOY9zUIhNSH8kbvslAvM61N
-R/M85n31w93L6tqC8VmIk0bmCQdaxLyvHjjfIM0e8CYLndgQukgQs4R5X53A
-PfIiu8ohE9mSSye4bS5j3lcLhPOVn/h2PgOtv3ayU2JZxbyvOkin7Ndm/Zl6
-tEcWIj8qrmHeVzmo/rK5os6WjDySer6Tma1j3lcGfJpi5TCAeCRMedUnym0D
-877eIjyTzhw6/2j07LChq0R0E/O+spEwtahfoWwQMo0sPEnXuol5X5Uo8HpU
-cMhJV9RfH3/59vMt9O2WcIgKSxVKxwFGk1wPUEwSey6ssAUn/wu+8Z9tNros
-JZIpNR8GnFmuUwcLmyCuxf7jzco7SP01nlQYHAcLFr+C72puAi0H06W1kmwY
-mZoqpH6fDHUbWvdelm1ArIBZTOWZSriSw/B0Wi4darPuB7z0WAeNOkc487IB
-/N94VojaZcGNJxt3roivgeL1gpmBW+1gRPpeg2I7G95E4Dy7cbgCvA9OuPg+
-74bwUd18wrocgNgl2bMxyzCNBKP+iPfBfshZTpxHucB/T2npJ9sSMJb7cNNf
-GQTj9L76ZpVcOPFQ9eZg0QL8SdyRI8ofBsf2Eqsv/x293m3MzeXOPHzC+biX
-c9SHMxjGb4h9zwEjDryeYZ9Z0Glcp70sPAH/+C3j63BzIOhteHnJwjQ4Hwq9
-Z4icBBPhqucRJ7JB7d/9k6wsU3C1O8Q0yGYKKHPk895FZYCiHQP7RvM4nBw1
-7dAWmQYGj0m/C62pMGBGqXP1ysjRrprSiN2eBrWTYV6JEUnwrS5f1EJyAAoD
-ugU4HWegz2SVBujigcXyvdMDnR6wefziDcvfGVhq7Iu/e7R37medM3o02w7+
-dyRLHWVngY5Ew21+LBhiRs68cWmoh92n43I8IbNw7sLvJ1rJ3lC0RXXjN2UF
-xEb/4JSqnAXpgd2Vfktb+F5+etxzKxnC7vorNLXOwq1E/AfZSvfRlA/6aLzr
-jSa2yiuiv88CT39l2bq3HWLpjOB+9SMf6a3pqg4GzAK7QsnvZVYfpKkw5f6y
-pRo9o0sV1Zc6+vzMaW7cUglBd3ov+/ueakGfv+rqf/wxAyKSY4ZD0dHo959T
-Cdq+XWieuXyo0mIG1vqkbKMV45FPwi/O+W99KJ7Az9FscRpoaTf4VnqSUBtL
-wCye3hDKJt3R9+WeBk7RJaul/VQUzPM+keq/MXRKaTTyjOEU0MZtBeI1Z6D/
-iJ8wnNadRCnD4ufnPCchvInruR5FNtpKw1MovjeNWOgDrPkYJqCrTAuKiHPQ
-G0XkHzk1g2L/Rr432BqF0CfTbP8acpDC50BPQts5lCVc1vLBfRhade+/9+bO
-RT//ei3Zn1lAUvtLhdSbA8Du2t7yQyUXDYpWag06LCJ3BmYm76t9QPng/rM5
-zlzUQzqbQrK0hN4UWZPXU3VDj/CPIrnSHLTZn1djyrOCPL80kZlVtMGzup8W
-zlPZaDjf/3ucxSoKkC8lWBitB6qsP0r9r7KQF6IS+5q6hkz+i95JYwTwVY1R
-CqVNR1eY0qVym9ZR8OztXgqDLJinbDCxv5yM3vEo8gWPbKD2TsMPgtvvkDrb
-2HVloTgUpSUsk2C4ia7OMRBkhueg8RaJK3JXw1Dp9+eRfb82URjvxx/va6pQ
-t/5+w7dld3TiTnndvtkWdoetRqOzCipTxD7Q+Jho4LX9FnaHzUFEC4+5HE5F
-g6Ajwukj3sLusKqgnfzznYdjInCc954Q9dnE7rC58Oyqem71iXQoljotiou/
-id1hq+CRGdUPabFsWGm0TG/sWcfusE0Q4Vdyp4kqF5L7Bi8h7zXsDtsJUdFU
-ebWmeZCtMrdLwbeK3WF7wDlnb+uGVj44XsaVIBxZxu6w/bDLQVl342c++Dg0
-aQlpLmF32CGg99FgFb1aAL1hJzYLlxewO+woDEbJksiu5gPZH5xZVqV57A47
-Ab5SFybU3+fDg6pT1l+Ofif/d4edhGDO3NdNX/OA1VA/W5lkBrvDTsEpkkCO
-059ygW+8P25Wegq7w07DlsK3nSWCHBDLfjD44eIEdoedgflmrvHs5kwo1NI/
-o/VmBLvDzoIDfFOcYEgDSTpeNdFvA9gddg78uy2ox+iSAFrdT5HF9GB32Dmw
-FHqzq94TC88D8Z+z8nVgd9g5aJmdjRv1DYdP2n3pbhcasDvsPGTgtF+mueYH
-1TXJD1tdK7A77Dy0VKAMom17ONOtRcjgmoLdYeeByTBSU2CHDS3ntmiHvffG
-7rDz4G3jkS3G6oiGIfVCx+987A47D2LXI9I7wA+xUqg4/J6uxu6wc3CV5qlK
-9q0IdPsSj4T2fy3YHXYOSAi9NTQvxyGT90iwIr8Lu8POgq0fqamTWhKCm0yO
-jaV92B12FvTspfF5VNIQ7QVrY8fkIewOOwMnhImnu/CyEG+O7fo18zHsDjsN
-mqokSh9pctB5w8BbDwMnsTvsFLy4cVLY0SoX0b0oGFFUnsbusJNAkc8e1xGa
-h9ydqCc/k85id9gJSFAo5/DQzUe0sz+ViormsDvsKNzRetHIvn3UtxR4uaOf
-LGB32CFgjV8yMb1agHj1lCQWaxaxO2w/yMbGn3i6mY+W5NQlvt5Zxu6wPWD8
-Uu3ypHI+En+yJt1gt4LdYTvhtWxMYNmHPCTIWrfNVruK3WEbocjjRnf64VHO
-yDyR7v6xht1hK+Hex/6NwRvZKMn4do4I2QZ2h82Gp93VwtZ5aaink0HrJukm
-dodVRTz09OsWDInocM1BtS9kE7vD5qL+e/jWqrejkL/y2Wag28LusDXII9xn
-bZPIG128GSG+E7+FmKcOr5/vqUG2oQnWFFp+kKgrtjuWtAWf1sO2yU7nob3E
-5QmOR7Hw0lxHkv2/LbDzMrlb5vQetD/gGSVEp8CkpGw/QeEmGDyiIM96ngcG
-/m5bJrNZcP5WK8np65tQ9ixvqtChGjS53/hfdcsFwdGQ6hqyDaibSd9kn2+G
-vQNZmuKQfBDKX/tH0b4GqWz7I4vqXRCw8e/JnVuFwKl1KI9vsgr3V5rDRGj6
-oJA/coGQrwhMlu3fyZCsgEVwdRFb4CDIOA4tcY8UAQuud92TiCX4yjPDmt01
-Armpq5JEp4vhhdGbyGrqRVDovUNQ3jEOFPj7bMSdRWBHl3PJ2W0eTHIkQpkb
-J8GLVzn7P/Yi2FALYxBdmoWYzxGTlUTTkKW+sJ7BVwjEhQQPW7lmIDP7sDfi
-zgy83GajXtnJB7+Qhmu/zKcg9KOxSfW9WXidu6MQrpwHOeXT/yrlJ+BTGG4j
-C/kc6I6y9yQ65UDfgutqddQIUInF1E+PzoHXJWU2NJ0JD3mHmgWaBiDVQObz
-uOM81Otd0XSXSoX3mfLNDwd74AoZbTv9+QVw9bVg+a2dABepb4clR3aAHtvf
-/nTTBTA/q3HfRTAaMhW3o3bfN0B866qHTe0CBBgvt/c0BsDimyvNoxe+Q9nk
-9nbI1gJQ3N391+flBLTyTis8MqmQq3fu5P7hAgSFvP/kl8+BWk+snTDL90Tu
-ZrwNCRsLEFdsSzL/2xk1qxIMco3lI+EDG46gygU45UO9eNI8EIXkzToVLVWj
-yX8DrzoNFyA5mpFXMTgavQtRLM+TbEFvTIWvSp5cgM7liqC17wnobdRm9On2
-LlSqUxdMZTEPYfgPKt2jUtF1qhZ154k+9HtMofJW19Hns25u/PBWFgoasz07
-MDiEqJsIAu0I50BMU9I5KCEHqdBP850uHEOXWWuo6OlnQcAusMjSPA9t9UDO
-WMkkOiAOfEZ4eQYqdxAF15kCdPRfkbvLNKrWsmJ++PNoJ7rdqF2WKETPH6/t
-LQvOIg1Bs5KM3Em4FWbPOc9fhHLdzZdpV+bQ2I1LKwPR42BwPki8vL8IyVnI
-ebvbLKCMSiWYiRwBezn9x/yni9FTaTWqgcNF9EiiY8P67SBEWPjXefQWIeXD
-uKQVrWXk16NpmTLdC+UnS+bOsxYhc02G7oOaFZT6gvXD+5tdUE5qymp/qRB9
-9VONiSFcQ+ctuKTlVZoh89mJeBzLfGQUQqAywb2OeETUA0//qoIzo9OV+O9z
-keAlTWdzpQ1EtNdEX8CYCwQ4d4kGnLPQ95w3Orycmwj3TvDFLI/3SGy3fJ7w
-fgqyMRDciv++iZYSJGKlpPKRDEvbw8vlMajy78g2z5MtFCWfd/efdS3iivmh
-t8fvi7x5lrO127Ywf6MO6ScNGHssB0BeH9PNWy1bmL+Rj+beZBT+DoyHhLpK
-vk9yW5i/oQZ/yjLz/VfTgZ6x53Xa4Cbmb+SDgk/xLcXDHLC/Ivbg9JNNzN+o
-AcsKOh7HlXzYyA7qaHu1gfkbrWBr83PgMn8RFDt+XWclXMf8jW4IXTF/vY1X
-As67Z5b1MlYxf6MfUkZmxJ9xl0JC+MN0E+EVzN8Yhiw+487+1VJYU+Mec2pb
-wvyNMZBWjQ5MpS+DOnKCIXPRRczfmATtZ6SPeCZLoZqWXvZUwTzmb0yB3t6U
-mcy9UuC5fEmm7eIc5m/MwBnwEaWgLgFzH5EJM5UZzN+YBR+nR7eWEopg6NWf
-6OHoKczfmAMXpuyXJqMFELhpMj4ZM4H5G/NwLfvLeGp9HrSxmTIfzIxg/sYC
-tH0/JInTyQHcXxe52YkGMX9jEcQcvhwqFWTAZ/aiMcVLvZi/sQgbYVLfXFmS
-gWbTlYvoRCfmbyxB6tC+0558LAzHrtuR1zRg/sYS7CRM0P0XGAxBvD/c7fK+
-Y/7GEpge1rpNy7hC0FWBNPw3aZi/sQRdQew0otFcqKvjBPXb+P/5G0uwK6eT
-q7bmhnYi7qSRR+dj/sYSRJjFfWNTDkGzbvWEv8erMX9jCfZ5VXYHS2NRaddd
-0gPFFszfWAQB4f0VQvdk1OHa7f7feBfmbyyAv77E2cdnM9HU73cOFH/7MH9j
-AbLMrkNWQA5Si1yOJ8IZxvyNeeDbK1MtWs5DFWRFzzYXxzB/Yw5C92TT1v4W
-oAsT+2dphiYxf2MWQqkOAjkqi9D1vxNdBunTmL8xAw1OzLnpLCUo1eMKDY/O
-LOZvTMFoZvl00qNS9HSq9r499Tzmb0yC4K/uB7ULpeihL/VHv7wFzN8YA78P
-pWGL9GVoXZpd5+DhEuZvDMG51x2dL+ZKkW6s9qnQpGXM3+gHpjtqp51ul6J7
-+9uZHnirmL/RDSv4SZ3Wy8WomdA2TU1sDfM3WiH6vUu9D20RuqcxtnLfah3z
-N2qAfi3MyK4yH+XtjO/2RW1g/kYeWBITkjo156AO7k0rCYVNzN9QQ2n6Nbnh
-uulIRWEWR3lqE/M3ClD3aRYbOoJ4lPFM4HSg1hbmb9QhGJR4RhHqjyaMfxMU
-7myh5uCy/FKTenSBkCLtt0cwZIXKXjdf3YLWpKiKn34FyOrlUqw9SRK0ZAb0
-5JptQX5eqTolnTqQf194tc+WDYlBv5+a/dmEWhEiKoOJAiAQmovHvZ0PYTuZ
-Y7zqm9Ajs0af8bcWDIVnMnj0i6DEMMFBwXMDGPH66JUt26HmYeuDhLOl4Bh3
-4dPvR+two5emfq64B7j9awqqTpTD7z5S1bbJVbgR7529tzYAh9rLwwGqFaDP
-5fdxzGgFSLcEO3XGRoDgzLXWqNvfYb3tt4Pm3yXYLmVnQi4TcMZlOLzjw3cI
-GKc998xoEcZx8mSLvkyB3/uaDJsr36GJ+k8YzcQ8lKpqPTwgmIGW6/EXdGQr
-IEUSX1yHZw7OOtTcNzKYBa8f5KtZV8vhS0nMRJvrDPSplIlQlc2B3E2JiTzr
-UjAcmlrerp8C0kMp47WpeeDYGPtwz7oYbKMK9VxWJqBV4Wvl5twCVE4Z89Df
-LAS5/bOnB2+Pwp6RChNjwyKQRObDd+c8oImNY+x5PgiRLwbjHZ2WoERlTN44
-PhuMC/kLmV/1Qsns+iMy+mVQeiJRUkeRBmWx/Smv+TvhGXfCTm/IMsQr/etx
-84qHJYtb22SsjSAt/re6ZmMZROauKK65h0FiFDvpiCFAL91W+hTDCnyiofsy
-KuQOVndfBz2LS4emHOccFrYVoJH3fUxYyItuCgws2ri5oIe45Z2pdCtHz/cn
-z3XOeqBABpvc3ygfURP7nH69sgwTBoXch1rhyJXxXhVTdTX6MnLi7T2/ZXhq
-2xdIsh+PTBjWd4ZftaAn6tTtXJTL0Dde2/PRJg01VuZ/o5zrQp5Z7bKG5ksg
-RzvmzNSXjaan2Bo+netHz4sY9odKFuEX/onMiLw8xHq3n4KWdhg5WJGX6fcv
-gJwtfaHjy0I0ISGF1i6Oo3t4qf4cnfMQby/1Rj+mGNnd/RR4+sfRTnk85sqc
-NAeXNp7NMYeXIipiMSHWtmm0KpIdJKE4C4QnfLKAoxzBnzkBT79Z9O8kY1Xs
-6jSQ1WUNmWpUoGsd+0pkIvPI2em/E0yKU3BS1nJo89p3VDgRM787s4AInToa
-0l9MwKrecyoy9e9o7NUMbaL2Etqy+Fyqc9Qr6Ysf+LMwfEdCHx59m59YRo0b
-r6e/pQ3Ah/vchksvK9CsrXNXG98q8pg0Q6cNe6AlPCZeabkMqbA/Y5hwXkMu
-4cVxLXNtMDlJbk+yUIKsb2cZsZWvo1KD/QdIqRYi9bZVzxz1ouAfd0iaJjZQ
-nZ21/LjnUQ9ON+TrWM9DahuDuuHmm4jdpQIu31JHXgnrDv3DWYh9JTCUD28L
-5apb8v86VYQyCszW97UTEVHw7bSznlsozvhAPZC7Aek4vlXAJQtCBhWj5ecp
-t1HosffVgCS8gr0vyYQBX9uJ1VNnt8H62PsqRFMDchJ+GSkQEPgJHodsQfux
-96UBcPKgmpso9+g5Ju0ZQ7kF68feVxGsOJWJ/zQohB3fF249Dpsweex91cN5
-CWp3fIpSYJ+8ntZct4F5X53gc1ZY4/RhOViy28Z3Gq6D+rH31QufaAsJn90H
-eLXP0GRGsgaxx97XEJg6vUxpVqgE1vaC7JnYFXh37H2NQduvOA665kpgam4/
-J3Xj/9F039FY//8fx4WKVKJCKYmSpFAo82VmZEXTSKkkyaaMyiiJhpASGdl7
-7/G87L333ptr2ik/P9/353/n1EnX+/16nXO/Pa5Z0NnuvoZhfjWFh2kOB03l
-qk2fQ6ax7msUZrpyfsmX4iClXS2Sm24K9Le7r3EIvPM9yf8GDkzlNFtcH05A
-yXb3NQHLXeMXeTUAnlDoCzlTx7buXf/ffU2BUEvNRarXRbBf4jIpYGEEtLe7
-r//fA3gk6SZfAEh/v1oK+zC83u6+ZiDCe/ZsXVwudBTu+bJk2w9z293XLER8
-C70pUZgFLLysKUX+3RC43X3NgdyE8Elzj3RYkhn1Rj/awXO7+5qDfrvr60a8
-yXC7UaGu3rUZ8ra7r3kY+3RteH00Gh53spF3xFUD/3b3NQ9VJl4OyXEhcP+P
-7hFzXhwMb3df83Ahl87T/u5nUGrb3B9yLhk6t7uvedDaxeHrtoSQp8EBVtnb
-bmjfdvc1D7+yqBo6+XyQsCitj1tBBnq33X3Nw06L3zZHIkKR7/OHncm+pUhm
-u/uahyfpNOk1ejGIIti0t+tKHZLc7r7mYCDMxhyCkpFskii112gLctjuvmaB
-yp5FNLQwHb3PSZR8xNKJVra7r1lwuh1QcB6fhVie5UfsvdSLcre7rxko5mtR
-x3XmIrury5Q9woNY9zUNnAY/GMC0ANHtSDifuWcE/dvuvibh52/WqIaQIjTT
-1GTfOzOK3La7rwk49M6uve0JoI+CFZq02eNIZbv7GofyNbE5NwMc+pESLbPD
-fBJpb3dfoxBm4mm1XIlDN+N0I8cPTGPd1zB4yh1suzyHQ/PXDqjShcwg1e3u
-awCkFHbpP6/AIZVXZ50PHp7Duq8ecP3D7r2ohUNtA5uX6e3nse6rHeSO9wfV
-MwMqc719wahkASlsd19NcIXO21G0oxANyw1FSKzikeN291UBJoc60w1H8tCE
-tH/Qnf1EFLndfWWB8Cv8RybBbCRXk3/zRiARNW53X0/QxJwiU3J+GvrAsZhh
-f5KEdV+5aGTfPWqr5VjEk+3D3J5MQqe3u69qpLdzVepFWiCqF7BKTRAno6da
-L+SeHKtBFVEzzL9QCJS7n/9DxUcGgQcRnl3Hc9FS3ez3BdNEuDA87aiRQ4Kp
-rr+hdvkmkPklK6t3KQNUwhcYNEVJwKr5h/2SdS7MxJVm0XTlQn+C9upKKBHm
-Dc8YRdhUQXhodMavoUJgdf9+2nKdALI+r+Pk6VuAV/aWiDsDDu6G8BnSR+Ih
-0halju7pBOFyAu1vuRKo8GnjrEALcMzgVkVycS/Q79o5++pIKdA9TNjf2zgH
-iSpl0zGnhqBXodcw078UUsOosryvzwL/cfl9T0JGQFPTl+FsXinsGnFg+bb1
-Xv/8XTPJx30Mumku7N3xsRTwzhQWE8Ep+HvwfXuz7AQsNnmrhjCXAlmpnemu
-9wTY+864nemZhI8CT2p+apcA+3j8OnSNwV/mF7n+KtNwhf/OUtl1HJhMiMod
-PDwKX74J2LH5zYBQXtTMOf5iuPG30fif3DAIHD2Yl541C0pV6sTn1wqgNm1n
-7kxpP/SFnXz7MG0Ohof+Mk/sywX3tXIHt5Fu8D2r18nnMQ8c9ri8py6Z4J96
-OIJzrB1uZUIKnfDWc5Tphsze1FS4063zDl/TDDyymgf+5i+A188b/Kw34uB1
-MaNbi1AN0DTTr+5mx4NYQkPh95Wwree+8ufYGBzM3ycYn72Bh7oQByRc5wMC
-z+mildZSYISyqf/AGA+3L7LZiaTIIha2WK03NC/RmKdEb8p1PKQ93NAwG/+K
-9vv1BD9mykDEE78HD7HgIbbL2SrINRx1KmT8oNUqRXvyLpn6ZCzAQ8v02Jqe
-ODSoJLD4ak8dErpBdObiW4DX7jcWRgipaHVN1d+gswUZkbpY6hzmYc+12mWj
-wkykoaXPMHO4E4X5zF722no/6L/jSz2nmIseLb5+USndixaEeIcNI2fhA7fk
-ToFXBeh09uAeVbVBpNDhw6j2ZgYimTnMf9wuRskPoqi5jo+gWMdTlRqXpsGd
-IzJm9iEOhQyrfHWnHkOsXGM0JrhJGFWs5G+6X4ISTRIeZbWPI7+6+urvPBOw
-SWGwczlWijovqk489p1Ex1+MHBp8PAanQ8REhL+WohN0RKv34tNb95qT0+Kv
-R2CPhFy3Tl4pElBr0bxRP4MiYlnf6Q8Ngn2ZkoDrl1K0WSjneFtpDv1jkFe2
-tO0F2oygk0H7SxFJpen+q4R5ZGVTfiStoAPAE/RLhUpQvyhVnNDaAqIaClrj
-yGoG+FJLVzgN6NHHFiZ/IQIS++XbZFNSCaPEoXKZyEL0LYfd3fwcEbnRX/q6
-ez0buLSmz7N+zkV8Dzt+hGUT0ZPRUTPPchPE1mHpMx+SgbR719WFEQk5n4kb
-DCrKQ2qmXaqyYQmo+IWXBlsjCcX4qYQJLNcgxvbyagmLYOTY4aCbp0fGetFa
-NHLVnC4xOgy09Z4yfLpKxnrRPERf8mv/HZUU4PPxJ5DbSFgvagqX/R07Mtay
-wFqc+ka0NgnrRfPAfmAxeuVOAbzHFZY35BOxXrQaolqzGppqAPozx8yVWYhY
-L9oCuUH+QvzxJRASSyicasVjvWgXnL1LdsygKoM+z7+8i88WsF60H0R2pLDL
-LJTBOatI7p1rc1gvOgyvfja3T9qWw9f2ptP6jrNYLzoKv567R9P/2jrHVRPj
-fhOmsV50HBZPLEVrPysHhX6dRoE7U1gvOgmvGwV6kifKoODP06HLGRNYLzoN
-KbxLNCrMZRD51lCAuDmG9aIzIOEd6Pl2pQSYKorICVKjWC86CxtHh8RWg3AQ
-Vfn72uKzYawXnQdHCH/curcYzCe+xV85PID1ogvAWSyh5+2UD9cE82x+X+rB
-elE83DGfzkS+2RAth2u5JtyB9aJ4MLXJNbtumA6vjV5FXDrSgvWiBPA8quGZ
-MJoA7lbjIia1NVgvSoCdwWFjh5N/w47iBQ/y5RKsFyXApPQvycuvfOFDj8Hv
-lN1pWC9KALrV2hnJl/KIJwPJkZYfYL0oAZTuW9O0pfuhHab9Bx/IpGO9KAHC
-3pk9pLsagQZ2XJkJWivBelEC+L6flBywS0T7ZvLv6VX/14viQVEY1/IjKh1V
-XnKReIxrwXrRBYh6eH7kans2upztMN3J0In1oguQGP7yjXFuPlr8ecn7smwv
-1ovOQy9dl0agfDHaaCrli9QbxHrRWXj4KDRwKAOHqJvSp26fG8F60Rm48PKO
-tgtDKVplsHIWYR3DetEpOBNc4jJ/sgx9TE36kEEYx3rRSYifvGHpQyxDbCEV
-T/UzJrFedBwUP1Fd3GtVjtoaE5/8uz+N9aKjMF5zreLKr3I0Xf+YKW1lButF
-h4ECTrLnLcqRxnzl7JD9HNaL9sH3B7n/5EfKkOOabKfB4DzWi3ZC9Q0hOIEv
-RYrF4g0eF/BYL9oC77vlulN9StCsdNJRJxMC1otWAdUNkRxbT0AcosqxSkpE
-rBfNBY+2PJdkugIk5nfgZWQrEetFTVHGDl+2zcAsJPcrhCFIj4T1ogVokNWR
-ImKajMq9hob/zZGwXrQOrR5mentYIxQZBPx8Z+BERnR0l5oPltShRhbxFzvR
-b+hZydFufEAG36MxOrkx+Ug1d4+qxqk0mH71PEuHQIKjGzI9rTeeQWOUMUfY
-oVzIft3bXPmcBKa3FziWaAuAp+hu2++VIrjp/cLLpp0IO00f/A6cq4FjX7ue
-p5mWQPo3Aw/hC0SwDGWWu9PeCsq+doEP9MqgrTbIPmYTDycPP/g5pN8N9Gyk
-XXmt5dDddsFJLmABmFiO9Rp9GYDVwZgKfEcFLMhvJoednAeulnAqksgIxPwW
-vehvWgkG9hqWm+GzMNw/9/6CwxgcCyjX+BJQCUHzSxsUlhlAF+apTb9OgHC/
-Bvvh+1s/H9kbnPNmCmQqfltFvN46d2xSFiIaKqDt2LS2Xt8EjIQztvfKzIDI
-c1T3d6IcNt5TPuF5x+F0+UW+A92zEDZtW8yVWgZNH3QPhzwZhT38e23lFebh
-BV2/0LVLpVDcQBPeEDAMvj1BabbvFqAtkUFp1B4HC+XN/LpmA1BYPzIaEYSH
-o0TTe1Q7i2DXh2Y2P+8eeL9zcHeLBwEMP4/uqinIheCPf+wufeyANVnlA6+5
-iRBzg0l85GQmsE52eOyxbIEdkc4BzOZE0Lalz3n/ORnSuEPpAm1qoYf3IwtP
-BBFy/mTfF3oZCaWR/I8O9paAW7O9T27p1s8bWKNIOX+o1w17YHwlHTZ+StLW
-1hPhk+j8atZNRfShI366/e99UPIcsNItIULtncbO6W/fUNnJC2KySmno4Y+7
-PU/DiGCaI30lnSMKacUfMV/4XII061LFV58SoaGh6WKbQAriZtJa/mNVi/ad
-HPu2k4MIf+miuMbNM9G1L0MbVmEt6PKlkQ5uBwIUZEm+4KbNQz8nn3LvWe1A
-i0/TbcS98fCdWY2YolSETvP92lAS70W3JsV2alovwJocncmEPw45az1N2Gc0
-iO7GvvB6cGEeuB/GVjurlyJGO1WNWyIj6G/KMxprmIXIRaMgusoyVOLnT79y
-ZgzJ/T1s6XJ6Zuu9JNfAubL1uX7RtM6wewKd9bFv/nh/CibS0+/59FQgJ6bj
-FqvNkyjT5NOp75YTMBVzmUHPuBKN0LPbPnw7jYY8dM1Cb47BStIJUmlAJQqr
-1w6T5pxFCbMDMVGMI7BLUExM41ElamKWLWuNmEOXeAWSdaQGQG7Zo7i+ugKJ
-Up883rl/Ad3Yxbh4e2c3fE9azDIoLkdvf27I+T7AoyILvZN3XrTCfQuGW3ao
-DDHz5dDy/CKg3Gpes1ieGphUjn49erUEcQzXJFEZERH6OlUt+DgPznmol8SG
-FqGfq0evvF4gop9SdEeXDJ8hQpv2NVxCDqJcu/yk1p6EFKc7nGVsClFMrK3A
-vvhU1Mvi9zeGjoziU/17qtPqkU8Sz6kpnnBUW5XgmxtIxjrzBvSjqDYIpiPg
-rI+b+6gTGevMC1AZaXVTPjMdFoIP03+iJ2OduRn4GSeHO13NB1vdq1l170lY
-Z14IYY8zZM3u4sCm0aiRZoGIdeZ1IKv51YppRxlEG75wZlEkYp15GygQA712
-naiAtOQbXs58BKwz74EUppcBfrmVQCtEzz9evIB15oPQoJ6m/bStCupxgpwj
-yvNYZz4KZmybtEF21dBmpeQVXz2LdebjcKEqRvNHVDU8kqELK966D/+vM5+E
-2sCunWdMq+EWd1KiSMwU1plPg1bp2qZ+bRUUzj5mX6eZxDrzWXB5zkQMbKiE
-Nr0pbrL2ONaZz8OfWmZRV6cK6E10HOL0G8U68wWIOCyZSekrg+Kl+jclZcNY
-Z46H1iDzCPqt84myg2RAQfUA1pkTQeULYxNbPEADv6EQbqYH68yJ8E3Dtmp4
-Ix/mzzLTys51YJ05EVxn63/9WsmCFTzbm57GFqwzJ4G67AwjJKTCvPfzMN4L
-dVhnToKJmxmxdTejYRxi2Cs/l2KdOQn4zrzda8AeACmORefP+GRgnTkJPOx8
-612UlNDL3140a2+c4X+dOQkWRnT9Pn36jljzRN4PnkrFOnMSXPtx0syBIQZd
-OnI/yo6xBOvMSRCf/M6lmCYNBT4/M7uw67/OnAhfWjyMoq5lI26LEcsb9v91
-5kRIy6181HatAHHefPnMoPe/znzrPDMTfb2fDMj2kOrBgbO9WGeOB98FuV01
-rKUoZeRpl73hINaZL4COtYet52oZKiBI7WKXGME683moYkE7jP0qEN4wqLFO
-eAzrzGfBWMO1Rm24En2jP3iy+ugE1plPA/e4U5RhVxX6J1F1QWVuEuvMJ+EI
-mePGpmU1ChwM/VQXOY115uNws6c0ujmqGr2/e9WL9eos1pmPgINYU2KpeTXi
-y/YjaDbOYZ35IHyZfjB0qKIK0VtFCDFILWCdeQ9EzC6pGfyuRCi9KP2VLx7r
-zNvg29M9FZ+pKtCZKHxsaRMB68xroSixhmazpxTlOa6opzsRsc48H4oOpA6Y
-ncUhLobH9Mq7SVhnboaE/z3u3Nueh7xuOIYP+JCwzrwI/a1rMhm8kI7oGAZc
-BE6Rsc68EWngEq2P5PxGS1yhtpPZZBQLeAPc40bErs8di4uIgpxHDn5j/mRY
-bovnCBQqQkIipFnbG5lwbe3ZxxwuMmhwvmUWJDyHkXmq66e+FAKVkXhOfRgJ
-ig2HTuZ8LwLmaBzf5YoSkDt6POMbLQk4bINGvzysB1/pG1qEmHJo+C3Bt1OP
-CKHJ0b1moe3gudofublYCS7+Gp/9dQgQkuX2tj+5F0bWPmefTq8G68xnzLsn
-F+DtlOULBsFhqA6VHPGZqIG9ezhaF83nweLvyN7PPaPgomwU2PetFipUjV5/
-xM+Cf7A/9bLOBCgcv5hDW1sLnHVKDy8+mgFiuecd+dApONcfWmLyoRZaubP8
-exunwN2+eL99wQxshJuJFfTVQPnIhXeK5ydBLU3k9OfYOTiaeXF8s7oaFJle
-N/O/HgcNO3yQt/EC3FG1Yn17twqEE1O/GuNG4V3ptLX50tZ9684Pmu5vFSBN
-qVWlpgyDkxrzzSA+IhzSPbRZ5VEGGhCsV8I3CJobzZzkrff+PTbdlpsiJXBd
-JvfKJ41eKLZMDS6QJ4EKcfzPw5tF8EirS7Hz+tb5NS61eiWRBBfc954wHc6B
-BqXl4U2RVrCIaYmM/keCKx1tFWkc6eB4K+5003odpD09KFR9hQwf3KKqq67G
-QrMDVXb+rTL4QrR7rq9HBn3/kA2F3T/genZuoPSBLKCTXLv70JgM4S/fXXmj
-roK+DX/84fnpA3Co/Vruv0sGJ9yh9N+BgUj1i16dWGoSauQ0kq8RIYNoXzyn
-zN449KCddjTTEYeO5ivJ8K6ToNlf6urt1+loyvm5RolHDaJh01hYiybBa6Zf
-CSCRiwzlCk4NyLYgD3E7VWlJErDfAuVLCUXow4tIo/j0DhR1suj2Uh4Rdpwy
-Oj6iX4JU2MJpexl70f2G04dPcBJh/Gb5/vvxZWhUjXakXmcQmTvd2/liAA84
-5ar86cwKhNyEmsMlt+4pE+ky364twNNh8kdnmyrkpsPanCk1hp53K/f/8JqD
-fOY9TdoD1chy/ZcOnm8C4W5wdrv+nIGo45sGQzM16I+irLYu9RRS0xUT1nKa
-gjtFU/d6fGqRnmNlqFLp9NY9zI9Ic34CHhmRKLK1tYjxlmrf9aezaOcOwX2/
-Ukah4clNkunnWpRufN7EenkOifze58VOMwzyKuq+fztq0Ma5mNRjTxfQlcC7
-jf+2fv/nenZd2PGzGlV0h1I9L8EjRyp2la9i7dBq/2N+pK0Smes7GkpSEdGV
-xWK6Ae86eKWw5PTiVTl6s+ZMZ+1PRBtswVS6zQUQaTBSzvC1BDVndxWycZJQ
-44/zVQ/+PEcTR+pRGXMh0jd54TwfR0KMcdTsE7yAJmk/HnpRloHCU36mJEmT
-UUrDELPR8yakeKby2YfbkeiY3Wu7zVYy5lOaULooFRvRIgZ+RLDfnU4kYz6l
-GMmafKGupc2GWxVMQ9PiZMynWMDtwyItDvhiYEr0iRjMJWE+pRhiftRRc6Ay
-+Jt33lOKnYT5lAYoT+CNuGRYCeeyBeIOWRIxn9IBHskTExcHquFTrEIRqxMB
-8yl9EPbvvZkO1EK4wFptGwMe8ynD8KTs+lHlvfVwo9N9507/ecynjAG/QlLz
-5bp6oD1+0qDp4BzmUyYhWfrHuWyaBti4HCXl6DWD+ZRpcJFilC4sqoeB+Lci
-rctTmE+ZhWf4lxrhO+rBAqqumd6exHzKPAy9ZPI72F0LO9SkGerjxzGfgodr
-7TfxB1RrwNV6Q+gXYRTzKUT4zmGRMHS/CoJu7NUvPjWC+RQiuJF/ie/mqYD0
-jIMa1b6DmE8hwa7iqAXliFLQ9hR/cyu/F/MpZAgQsjQRqgBw79p7TwPXifkU
-MmwK41LP9ecBq4zqTGdUK+ZTyBBh1Ge3OywDjGd2VYr11mM+hQKHRtzRnmvx
-wEo6/PH7xXLMp1BA7Hlip8yun1Cz8+WP6bxszKdQQPoTi6//k2vooKXn/SQ2
-P/ifT6GAutGeiwz5QehiT2dPB8RjPoUCf/1Yl2Y4E1DsKVb7e2GA+RQyfImv
-WQ7ZnYmuzhbepSNVYz6FDDWFBh9YUT5aPOMz3E/9n08hwezlw2UHmHDos+pN
-hlqX/3wKCTTE/p093liKWt4ueXLO/+dTiOBJ0yvmr1aBWkflQ9alBzGfQoRY
-vhyad25VKJ601DguNoL5FDw8MexKFDKuQZdu++5MkxvDfMo8VLIppLPgaxF7
-2Rdzt8sTmE+ZhUSph/zkA/Vo/hkpSJhlCvMp02DW6M1cV1GPpp78Upzon8Z8
-yiQ4fv75epWmAU3GrUxvfpjFfMoYDCV5EHnL6tGH3Xf3XT82j/mUYVi3Xv76
-9E8dqmS9XnrabwHzKX2wONbmcD6qFjHrOCu+weMxn9IBFpYjhBt51WiJo8oq
-i5WI+ZR6OBikkSosVIkiCxoTtBOJmE8pgisRagK/dpUhMzShTXuFhPkUC1Sm
-fzWv7Ekx0laNamIoJWE+BYcqxj404p5koT/qMU2X75Axn9KM7lt/peGki0Yv
-BDVb2fBkFCnRYSf6rhlNmTL6iarHQdjfXvqd5WTQ/ZQ841AAaLxW7M75ihww
-kHrNJqxNBtnfY1GVCpbQp/Y67kI6DuSuKrcfbCYBfaaJr+RhHGzeZg/ZV1UO
-DANBkvuEtt5/rzu4PPoaQU3b+GQ1TzVsHjUsvfWWCE1F4jaupp1Qb/flw/uu
-Wihn9Gs4G06AY7cizXuoBkCsg+YQ9XA9ZEdc8jQXxMNmWZvr4x8jIHh1fp+N
-UiMUPF2OE82dh8KzXEfOvRoH5WuJG76Hm6D80Jd/P67MgYq+1KuiC1Mg8e9+
-5RftJkgOIO0qSp2BcL3TyceSZoBx3bCXdncTeBQ9eqZwYhqqzvQmKK/OgYBi
-9l2KRCMk3nwv/9VtEnJwevayB/DgLxGD8tfr4QGdz9u17nF4wRO/b/cSAeZe
-nvPar14H+hF9XATOMXBJHM1V2/r/nFVqYUSRrAGTmKqvnHdH4HzirevOviQw
-I+soprdXQqivdijPjiGQYRbSYt46D0QPzZxr4ygHB5fvrNbn+yB30Cpr/9bv
-QVp1MeMQTwnwEK1//RPtgu9MR1ytRCnQ6VnnUz1bAHaMqS/TOdq2nn88GeJf
-KDAjBn6JAlnA/Or6MkNDA3yI/3nNtJECLKfL+l8aJQJ9w+Hr61wVEHzATpVq
-kQIE5+hkUbZgoNnlcFz7cy4cGshK2dikgFmzxqeob+povGZu4MzRn7DIaOBk
-SKYA0eCkXQL+Fzq6rmzmZh+DxOJMk3jrKPDlavuYnkoSSl+KGuvmKEYTsYOK
-d7wocJM7P8Q1NAvdFnXwuq1YjVb35yngBbb+/hdPdfneLET3pKZ6TuU1I8u+
-tbjZAjIM0UXuQ3dKkMxw+tFvCh1Ic3+4nfoFMlyqfuXHqF6OfvlkqX8t7kEB
-MckxLFv343gDYy2tf1vv39b6ozOcg0guhkvmaiURHGncxhUf1KDWuQPD/Re3
-7ilH11/ldhEgWErnkNmzOnTM/2VJkfwY+pHhpJxGWIBsgkTYK+YGtGm4oeIh
-M4FuH6kdsm+fA4r1P3ZntUaUYdJkNsgzhcauTcjTe8xAf4J0ZQ5jE+oTDTRI
-WZxGEtcabE1op0Cck+Z+l3YT0nPfvygYO4sMWd2s/TXHYXKvKO3w3iZEHbx0
-cxPNI61UGqlPT0ag1IlnU1KkEVE/keyQKlhAx/gjY6N+9MOzu/TRVVvPGdfB
-pm9NRwjo8tdey9o/HSDt7XihKbUWHWdCWXoXiCjnxM0oJlIDMO38945zqQqd
-FjpW9qiMiPLDtK64SxTDlSGXs/u9ytFcC635MU0S2uF4VvzJNUskata78eIp
-DtntufdPvYeEFjK/9ysQcEjn10+FaPYcJC1UHj5sSUa6doejXx1qQaekuJSr
-qmMQg3/pZUU6CvLedm0tSFlyqfWVRAJwMbCHXeslw85t14ZDK/05/z58ywPH
-nni+eBMyqG+7NksYzFLLvbNaAm5lh32cJ0lwfNu14eBpDTGNol8JC22fCg5d
-JUH4tmtrBv5dU++//6uB95w8yn3fiWC87dq6IMT8Ln5irB4aeeVCZysIcHfb
-tQ0COUBVlu1QE0Rm0xSs6OBBYtu1jUKzJ+mD07VmwFO3UyX0zcPItmubgN7n
-Q0Mm+c2wlGUfymAwB1zbrm0akh4dXxfvawZ5geOMHF0zsLrt2maBfW34t196
-M9xl0wy9qTwNT7Zd2wLMff5075piM9w7sTA2lDwJz7ZdGwHOC2Yb9wo2wUYH
-TVwf3QS823ZtW+fkb2sjj4waIN6WPtT9xhhwbLs2EoynfiFunK2DxCTmUi2f
-Edi57drIkKmQuTPLtxoknk7l8NsPweVt10aG6VHXjtGYCmjsmPkpGNsHWduu
-jQKBt9E4i10p5JO+XLqc3QWvt10bBV6c0z3Hu7cYtBOmU0bC2sBv27Utgo5S
-1MvPDdlAE2HiMtzWCIvbrm0RBo4LRqx/TIbck0WUl7yVEL7t2hbBKSivep9U
-CHg9vOP283M+/Nx2bYvw1v0Tx48uTdRxtnQjbyoMBrdd2yKkJCX6ZLKHoes2
-d63kWyOQ+bZrWwQtv6ennN+lIEuhK9EEi0Kkuu3atv7cTJzwvGIO4mjfU6Do
-XoWst13b1vlHkS2C7U0x8ngc0+XxqBlNbLs2CuTpr0sfTihFmY1houN/21HE
-tmsjw92K947RPRVow8tIfe/7HpSy7drIcLFG/pALVKOim6n0LmsDaNe2ayMB
-9RHunYev16GXmrYjrmdGMNdGhN1S6aEH3RtQcY4ZTZfMGDq/7doIEMZbTWWu
-2oQydULY1hUnUPi2a5uHBeNjMkIazegVP4+AvvAUSt52bbPwqrvsgFxOM3p0
-iN4lmX4GXd92bVNwWFrd7UFfM/rCcDGeVDaLvLZd2wRY1og8y8/aem9v/O37
-9GAec22j0KI9GJYs24z+acmLOIwsoI/brm0ArBVrDLOXGpFWE+9vO3kC8t92
-bZ1g+2KNVyy/HikSltwlFYjIftu1NcELZf+J0zU1yNTtBCG7h4i+b7s2gKD7
-1iFq7JVo9KhIiuVjEmrYdm2WqDIg9dPh+BK0Ky3sdhmBhLm2EuRMV8FxcCgX
-2eodLc/1JKOf266tBf14cEjFNDAOBVjP8Xw7SUE2rBmFH7ta0Eb/64+p4klw
-PP7phXoCGe5x39VN4ipBwTaVi3V2BcCp/vGi7uutc4jwO7mlr1aw/9/o7iSV
-MvCO07pzZut8eTF3xO/XvRJgOdFQUkxVDU372i4b6ZKAt/y9UHFcM9xvk3P/
-NFkHJ+JtDVPjifCvvpEhQKQbosZEXl2mboKrx0/U2s8Q4MdyxZ1O7SGoOhDR
-VpzUDGtzFsEf7fHgECb6EajGQN1C847BqxZI7fzK5fJvHuhuGZ2u5pyE+0Km
-q2aLLaD3mdfoquscbLBPrryln4HEtPv8MaytQCOg+rPo7wxcJ5fQLOfPwbhk
-ehrtfAtk/NsvfcZ6Guh7lpTZRfDA33CPJs++BW5R3PNe9k8C0zTu4boEEZwq
-braeL2oGv8iQfQHiE9A0l45KZEmwerfmz8aHJvh1tfnEG68xKFrRujJ6jgxz
-7dfYps40gOHxxqO2tSMwyBCkbrBOBu3NQYUNw1q4HPl45jR5CAR5v765mEQB
-6w/uf4ylq6CiRKF+gK8f0tUuNT5QWAQ2JbNOn6Yy0NHLL5WX7obHDq5ic7AI
-t6L7XI5w4kDB194mhb8dVJOdShpPLEGRGrVWkEMusNn2PlElNMH9uZPGex8t
-wcPgpC6Jx6mQ9CH53m/5KogVtD0T+XEJxj6to9viYcDxCV/QXlAInK+tdwYE
-LkGbASEljuU6muzRStThiIKatmNUo15LkK8w43ZYNRxdSclr1P8diiKFbFg9
-7y+Beps3XeBsKlo1VObD+eajlO921zyPLoELnbBH/Xoucv5JPmsWX4kWdp4K
-Hs3dei4lantVG+AQlbzhtQ7aZqTr/Jr+u8Qi5PFcKn5LX47KLzw95ZPYjtbW
-3/pF/abAAQflmmabKmSlFHPQSrEH1bpeFt+PJ8PMove5Az61SPxiH0d09QCq
-OxDwt/k4Gfbh3tEPXG9AIgq107WsI+hfTNjAwtb5t8XAQoIpqQmddqbNXxEb
-Qw+Ubvc+4iOCyLFzyVO1zahZqjWjX2kCzQ/YTD3bjwfGw6Hzii4tSBL5JKZK
-TyFHqa86pT5zIEbDRcVAakE8FdX3ZthnkEnSrrX6vmnIZxp+38zaimK/r3xW
-G5hFOefbu7wJE2BjlfnbmNCCdDS+NO5xnUemxWuEf3WjUP4r377bugU1VNJ5
-zOzEo3/FeDe10UHgDB/Ktfy19VwSShPzeEZAlJM/f9AUd4FexqSJc0cj2tt6
-PunhXSIKilri5D7XDGVONlGCSXUoXOnNhVsEIpLwp75ySwcHanKrCkr5Vcjz
-/dMdjE4k9PNMoc/xQCtUQxSGxKVSVJXN88hxJxldP5x8jlW1FMU6Ws9S0vLR
-Kt6LuimUjPpoCuRUrVsRrvEY9ZJDAqoe0FJiFadgHrYVaa6+1ctXTQE+5SXu
-b7QUzMOWIG6iEPPw4yJYCZXOv+5HxjysNXB+9+fmiC6Hyy92nj3JRMY8bCk0
-cC3sv5deA2GdO0ypzUmYh22BjaDg4IDBBigiMBeOFhIxD9sD+xOPqF4KbIaK
-YV36xZ1EzMMOA3PyVZd9fS0gvoclVOkHHvOwYzDa516sndcKXgfSzVo4FzAP
-OwlCRF3ZmittsE7fm/s4ag7zsDNw0qOu9829NsCRLZXyTs1iHnYe6ion2GoE
-2qDk8drR7uBpzMMSoJzlsZloeisQCy3KnRimMA9LhMwyVU2/uRZw9qPUqJhP
-YB6WBB1pL58NjzTD4wT9dJqyMczDkmHPwR9uv0Sb4JNDl1XS7lHMw1IgpMYi
-2E6yHrTKxlwTxYcxD7sIs2tgrDlaDZmf1bhKsvoxD7sE/1KMc21FKmD64omB
-Z03dmIddAsf5fapP5UsguEi1z6i0HfOwS+C8WbKr9FI+rEi/7Zz90ox52GWo
-qnH3MfuUBgrRi8c3basxD7sMUTbrrK6G4SC79/kTOlbAPOwyOJ8oKDS8po2+
-PGXl6k6Pg/952GWw6XVxNXP7jRZjAj+3jgZgHnYZTg1W7r50LB1FOjSbmHvk
-Yh526zlDHDzNVJyPNqhlHIzzKzAPuwSjA2vx1u9K0MSSYEXlpSbMwy5CLHW9
-zxubCmSR2DhnpdWOedhFkKlU537NXoPOJl8mh6x1Yx6WAklntfbjLerRp8G8
-m7Kf//OwW++9xduvPjxsQuNegRbJNCOYhyWBA7/wk5jFZrSzNGLliMAY5mGJ
-wNNgzKW43oJKd1D3nLs6gXlYAgh3UwYsClvRSSJOZ0BxCvOw8/Dbfp2fT6QN
-GVrzHXx8bgbzsDMwo2V+MvFeG7LfjLmuujiLedhJMBtxPm1yqQ19KuXXdAuZ
-xzzsGKxXktsZk1vRwqj+mRBePOZhh+E8a3jnj5oWVECtmHXQl4B52G5YSi3N
-knVtRnXVG0l9z4mYh906Zx8vsz8f3oD2Dikf0aAlYR4WBzeEX35ZMK5BB5q8
-u2h8SJiHtUYnV2/cFlQrR4zLATwuR8mYhy1FhhWMdKL+hWisO/OHYDYZ87Bt
-KGiUU/mGaRI6UmgQ332dguQpPjRjZ9uQn5V3d1lWKkhfVn+Xwbb1fKfqg19P
-ShE57/BKxmMAq+M9hOAYMthW8gxxD1kDL9mYO3RfJfDV0ifbnSaDfqHut38x
-pZAcHPmhxKoOzh0nlFG5kkC4JvJ63kQLJFcH84ZNNoEm9ffWV41EON9vFBlP
-1QuJM9ViAvktMJ+dOBHPQgTvOpvwp63DsFP33d95pjYYYX/YIJOHh0XnwIAj
-T8ehhPk7ndZmG1y7xT+QI7cAN91+Cz0unwKPqf05Vu/bgWtSsNi9Zg5S+z5b
-q43PQmc272xuSjvgdlMe86vNAvWHe3ebqhcg6t/L3vZX7QBvDUvfVk8DTwUd
-ZfkKEeYsj87mrLRBssrHql2SU1BJ0NnbbkGCq5599r7cbaCSn1Z2OHICHpb7
-rP7zJIPrMbPEht2tIPTSFgn9G4M/cpDzYut+IbLidWtXQjOcnQj2PK48Cj7P
-hlSkjRYhu9nYmJG3EcZ3dz6ldRmGk9KkZG2uJajK+vbho18tTIwMS3CoDEBS
-/uJkZvkSBLUGK2dFV4L2n3MWlKc9IDwyQ3qksgxm41QxqxaloGQr54uMOiA3
-rbnJKHUZxjPuSJL/FID2vdfrNJda4Ap/nEvy2jIsrvq700I6CChY45mKaiBL
-y4ZW+fQKfHjk5bP26Tfs2XtQL7AZB/wnBPQELq3Al03TytEPOuj24w+y/DHJ
-EPa9/+0j7hWop65fTyqPQFf2uLFEl3shxnwn16mlZei6wF3scjsDOS1cDTul
-mo0cPfZez41fhnsKZfpxXwrRzZCVmNb0cjS68ZnSKbsMardX4U12KZLmsTu1
-R6kRKR6neSpfsASy5Gcaq9OV6KD6VZLRTBuKmDJJ+8uyBJ5eV7pCmmsRr8Li
-WbuIbrSph6vfeXMRLGcfLe82bEQbxgpnL6sOoFuO9AV6dhTYSD/4gKasGR2d
-ybTnmhtGcXIKzpsvyFB+R9Gvj70VHeiSOX6ZcwytZFoeIOmTwEL/A6fC1uf6
-zNNQvXGZCSTX8vmF4Cki4PMF70VQtyPWyY9WoypTiElA6qFT0ALEji1883Nv
-R9PhvQanr8ygAEaZV0IZs0Dkjrk0ndKO7rCUHiTTzSEmBR4p9y9TYMCsQkl3
-bUcw/qP4X948eldP+G0pOA6q6z/2q1Da0K/TRz0jVfCIFBucvPZtGM4q7X6m
-vNmK3IIXNS/kEFBq+l2cpEsPbBJcq4LDWlDMrnPDSa5EpFcgY1Fk0ALuFZ/a
-6aOaEIOeAHMcGwkd6e5vm/UsgV9DZr8ETtahrufdhrqRJCTcoTHVNmmN3ple
-i/ZLqkBvD2VpDV8go2y7cseZyDKUerb8Z9W7YsTvF2kyU0dG93zvD7E0tyEV
-XZtcO9MU5KskQjNhQsEcfRuqItSPuDWmQfhiCfslfgrm6MvQz7KX/37m44Cy
-dr7tagEZc/Q20CH3PZzbpQp6UxQsBMTImKMvg1ijG+U90g2w5hEW9MSPhDn6
-Vvgce+qY2mYzSFgfof44RMQcfS+43rEL2DneCnt9f/rO8hAxRz8CZdF4X23t
-djDdZcD2uQePOfoJ2DSOWlXR7IB2oaV7qo8WMEc/DSXC7E26w1ufn/dv3uQu
-zGGOfg4MGkzyrjJ0wmupF1KCtrOYo8dD0VMTq2OdHRB+abZYaWkac/REkGIb
-lruo1AEDJse9RcynMEdPBg+WRA/Ox+3AEmCHZ+mfwBw9BR6emzleKNoGN20u
-VJ+WHMcc/SKEU51YOFDWAjStDopj3qOYo1+CYWfT2/pMzdAkOnVVvGYYc/RL
-MCSuZcOoXb91rsfJi0wMYI5+GXTDJOsUuavhw+fqo+z7ezFHvwIhPzXFi6LK
-APka8Xrs7cQc/QrIVLwQOdZaBGdxhp8ER1owR78Cvbp7z6ytZcD1USqJO8fq
-MEe/Ah1vnkhkV0RA9pG4kIjzpZijX4HcaI6WM603ECsP1frXf2nwP0e/Aj58
-Ay2NB6KQzMEV24tzJpijX4FS8YNqL4Iz0ZmPzvsPDmRgjn4FfNk8j72zKEbU
-rPK7r/uVYY5+BfIk5BUmiGXIv3hFnEO+AXP0y7B/lopl9Gk1clM2oZd60YY5
-+iWYl9hs4farRz7PiHva5LoxR78ESrSOJtEXmtH3QyE4s41+zNEvwr6D+Zth
-/S3I+G/z72ON/zl6CuB1myhH1dqQ3LzgX6V9Y5ijJ4H2lUcDPXbt6MU5Rg3q
-KxOYoyeCl4Pf+Q7tDnS/v9UQVKcwR48HEm1xukR/B5pvDO7jl5vBHP0cHH9z
-/7gDQyci7rgTocI+hzn6aVgiTr+V6O1AQvMBG55t85ijHwfy84/zL+U60Ikh
-mmd0T/GYox+Bs/nHqm2l25FsWrLleC8Bc/S94EkccKmobkX6Kih81J+IOfoW
-WODVX7/b34yoNn5aWPKTMEdfCqWSbhf+Tdcjv6/ZycdySZijt0Ga8TrOtUeq
-kJMvziJKjow5+nLU47paeE0eh04OWPHSjpAxR9+OWBIp7dxFqejiqHTH1TcU
-xNxkrirm3I5+KV+T+UpIhweSwr84EAVK+vVPf04sQ6bGcf58tSVw1klU/24j
-GT7dqXbS5rcFPy7JtNC/1XDh+ODSbTUyvMO1BRiSyoA3qWTq+5EmaGO+pykT
-RQKZxhKrzJNt4H2psEL0YCv4fZXJYSESQX9uWRLq+kDq6YHaRJZ2yNohkV8o
-SoSaoLcsJn9G4LOfL/FScAc8OrEYKL+GB/O7G2E2LRPgbXO/WCSuEzyvvtoT
-8m4BwpJHpahNZiBUzN/CQb4LiFZmEkeZ5+Fh0OWFgzAPs5rdbBxWXUC3I061
-P3gW0k/8SY7tJIDLqT/V/le6wL74VrsY9wxU/QqQvX+bBLEUt/ifYZ3Anfv4
-MNfvKXBamcxMiiCDkK/s6UupHdCssd/NhGUSVoLN0ySbt87Jl6c3w83b4URm
-RuBf53G48vn85X0DW/d05SDXx2Ot0PeicJy9bRRk67ivnqhdgmsnPfwEWVrg
-mKDPYTOWEWC6cX3Q+vsy9BYNlNccbwSWYxevynsNQjRv9uZuxRVgv+VPdTSh
-BsQ5mTw4C3uBWkU7frB1BWz3hDAkjZdDIB+Hrm1JJ5zOOj24LLMKbSJ8zYLZ
-AGTuzc6kn61w4LlgkNaXVUgVa7otI50FMd8lvFT96gFnaT0yV7QK6tIbjEm7
-oiDU6sBttogyuIybS62uX4X9H3arnTp1C51Jk4uR7csEO71g+qmCVSDmHr1V
-bhyNZAats2SK3oCD3Nu5q96rMMK3W3LvXBZivKmUaCGdhhTsIm5Ni6/C6eYE
-h9oLOGQqXcb/Vq8UdVLWVOtqV4DhiN6RQOEKRJn4czH5TD26UPy+miC+AqGK
-tG8F/99D7Od537vWitTb1Zpuei/D17QPfv+MGhEfzd19P7q60CVRFcO/W+eT
-4x21bLdEWpDKq0zmqsh+NDzm/HKyfhEYn4t5+f9rRbc0E3V8E4eRzsDUUaZi
-CpzQJRfpvWtH9vq/VhSWR9FHLq+rr76QoYOwufynpAOhJ3e4Xc9NoI8ZD//w
-yZLA7voOx/XETjRnr5porTyFYjlnrIWjCZAdE/CMFXUhvTwWoVcqM6jMymFH
-gNc8uN9qSNax6kKCbQkJN8/NIVPdl78dBWYg9uLHsmXJLmRbfOoX79w8Cuud
-uDnqPwGhOZuR/kGd6HHIfc52DzwyIpewN+SPgKjUrtiD7zsQ7afFKbm/BGQm
-f2TaTq4PbpwPvpu+1oZkXKRsXGOI6GiLd9Ftn1ZIFFM22IdvQfNBHCGJiIRW
-2HMs3hSXwl5uxu+qxY3oQGfqqE4dCTW4jUh5Cdui8gu2nDU+1eiQXg5Tz00y
-Yu/srSnYLEfW54/7ql4rQR94P3p6LZHREOcu57HzHUhpquBLf30asucVCdr9
-jYLtb3QgkvRfNMmWCT6fCxveXKdg+xvlqLl3wcdlpBRyJbyCBobJ2P6GLZzM
-6u/Y7VEL13Xi5lbukbH9jXJofKnZvuzSDMYG/I/8sknY/kYbsHDplO4WaIOT
-6cMfeKhI2P5GP4iWLPxg1+6AIL8/wnxXidj+xigIzhaceU/ohCPl5xts2AjY
-/sYkpJLNCXT7umGPn5F+ZfQCtr8xC8ZeYlOlqd2g9+rM9yLReWx/YwHe6EjK
-CY90A/XyuPXVyllsf4MI1E5k4UtR3TAl+07IWnsG298ggfj1kPxJmm6oWV/t
-He+awvY3KMAzmqWLo+0C9V0E3lM6k9j+xiJ0f9LE26V0wGhSpEMbbhzb31iC
-qbDPj/8wtMNesUauseNj2P7GMrTMM35y5mqFettj+tlPRrD9jRWowyVGJy03
-wbNTZ5zcrgxh+xurYCJjcYxHug6Kz6SHStv2Yfsbq9Au9dWlmL8S7FpeaSi6
-dmH7G2vw5Zl/4YF2HLxs3p2WbdiG7W+sAZFyS7vZOxsWKu8N6XM1Yvsba9DG
-qf6oXSsaTCJrC/8/FPnf/sYaDLxdom98cxslCZs0vJnNgf/tb6xBrVyWxNvK
-GKRAu7bvYJUf/G9/Yw1WU/c6icjnoMGEY11zvYnY/sYaCLi8oprgL0FmvzZH
-DzCUYPsbqxDDddblq2slGj/T3W+8+N/30a/AGaXiuK5PdWhFZ1GRxeq/74dd
-AbFcCd8DnM2IbrhkPOLBf9+fsgw7sg24veVbUfF8PvU5+X5sf2MJwg/8Vuzg
-bUe4T6PZLz3+299YBM1ULnf/qg5UcHWciafvv/0NCpj2qDwPY+1CF31p6vTY
-J7D9DRLs8H/cRcfUjbzd6q6sy01h+xtEeHlQgulYYjfKzTcSYNWYwfY3FoCN
-4+fJ5yPd6KTo9MARsTlsf2MGImyJVL1x3Sjq6fnD41QL2P7GJKyLDbR9/deF
-9kdbZR+IwGP7G6MQolt+mr2nE8m5zH/lYyRi+xv9oLf4gFv3UgeKDr3K9jWP
-iO1vtEFrkUFHwO42dPf3F6nH2iRsf6MMOM0Hdd21mpEvuUuObpCE7W/YokJl
-ceW3zLXokmrzuLsJGdvfqEBuIaS73bqlSEri0I139BRsf6MDierwDOqPpyM5
-4xPTAvEUNBqv9vVLYwcKsNVwdlDNgjt8ysGGDylgkzfo9ZpUjh6QCg98oyoH
-Ys1SRx+ZDDGzT9lcHewAd37gj9aRejg42SHCakWGlHK1HzjxCnDlZgyddGoB
-jrb0UJMqEqi3DX5NMWiHf02b+3O27h1nVfhvlTGSwHvdq6MtYAAihBLZVQI6
-QY54lkti6/dBZ/bN2/jUGGSdeBgpp9YNl5L+FAlcJsCMiGFCg9gUpDJ9dslz
-7IEf5YcfdVQtwEIvl2oowxzcf2Uyyc/bC04v++uy9OaBVW/4SV8gHo6L5LS8
-1usFenULQXfiLAj1XaOWJRNhruKN6QJ7L2iu3A/a5T4DT+1P+dTYkSG2A57t
-teqBNHGpaX/GaRDadDB430UBCddTXsVG3TB28iyvke8keNupmTqyLkFOfknv
-hbVO4NJ4Uo/bPQH2PUHZv0WW4UtMjVitZAfoeifc1zEbAwqfiRzVxRUo+ief
-dmXrXvPzKIe6cNEIUJum7fPbuwoLxhVDt/DN4C+T7cFHHILwgBdsehWrcCNO
-vfhefz34V/3sTRLth5bUfKM7+muwt8Xh1vSrKrgnHtYgtPXv5JfrOO/Vsgbf
-f3IwEdtKQPf1eI67YDtMJ+VkkU+tg9MdmcTQ0Rwo3iF0YLOmCRp8rIq/3FqH
-oIkfk1yRMXDz3Xsh6p5KkH8Qu8vIeB3sPoWJs0/cQZ8SvnBzni8AtRP6n5/e
-WIdW6gF/WsE4JPf8gIKHaBiM1368Gc25DkY7+LRnInNR8iY7sb41GjE+Etdn
-q1sDWul3y3sulqKljFtCkvKA6mcf/QadNShz/Mpc0VWF/nxwSlqOrUFHDPfy
-BuevAln2yc56wQa0KNWSWrd1z1jBCS4kbd2bPmXZ7kKHW9C3gN1fOoc70dMD
-raRFrhWgSgmbkrrbhtj4Fu1fdfUhU3WiiNWpZeA7l1upq9eB9mcodpXrbd1T
-XnjncdEuQYgOka+QuQvxXh6mHysYRVw+Ec70pRT4/MYpqMi+G9nWKVR/3D2B
-ur9deXN6630Y1NFyZfl1D6ptUL6lIz6FOD+olth3EyF6Ye0m4u5Fm26l5HXN
-GURqS3+3/gAPydYtTAV6vSg5/tnBQIU5VG5Zu9u6aRZ8y28Sezl70YdbV4dx
-hxZQwXQf3Y21Sdj1c97G+FkP+njElquyCI/aJaY8w4ZGQeF3YrarcDdaad6d
-zHyCiM62dzOm0A7AKk80TaZdJ0o6QxfPWkdEvZOdDOTSNqBLPmeJ33pOMg3l
-iYU/IqFOw68MhxbL4HXQUTtf5RbUH+F7R5ZIQk8Ebf1l3OyQfbTSAVJIHYqd
-FGtNciQjF1ES22fdSlScxWu6YFWGhM/c/rhxjIKMUhLYUr07UT3+RX8wTSba
-oanlXlVMwXZ7ts5JtIReubfZ8B6/T6LSloLt9lSgFlGdF/fPVIDSvr3BerQU
-bLfHHkIio6wscxqAn6aQociNjO32VMCttqxE/1etIFuux1HVRcJ2e9rBp72Q
-IPm6A/y0JLQXOUjYbs8gsNlk5vGPdcH3LuLG8kMittszBq+uy50xSO+BdyOX
-Lr6/ScB2e6ZAJlsPpMi9IBDWM9c3vYDt9syBDF/hy6S4Pojvym845DqP7fYQ
-QIBVHyhDfdD62jk3in0O2+0hwW7jKYe84K2f1+/7ypA1g+32UMDpuDAj9XQv
-+O2X36msMo3t9iyCBVXes1O1PfDVfJebWPskttuzBI/5aXeXX+sGhQCj7IHr
-E9huzzIs5wjN1Nh1wqR6cNm74jFst2cFFK8bpRpcbwfTbMeJTZZRbLdnFcz6
-hQIGp1rgWWzFndw7w9huzxqsc+vP5r5rhPqex0aRNAPYbs86VIv/DD7ZXQ2P
-NsstLbl6sN2edei1rw5O6S2F14PM9tf2dWC7PevwzchBI0ouD0qVqjw1Kpqx
-3Z4/sPD62/cvVHEgaE501fhZje32/IH0J98fUd/QReki/4YIEcXwv92eP3Du
-RkidREQ80ip90HuGHA3/2+1Zh3Fh/fscB/KRdQTt8r6HYdhuzzq8sd9tISJd
-hoxeeIfESRViuz3r8MMvoojvcg0i7xDK36dYje32rIG89h4n6qFGlOnRU9kp
-2YLt9qwCOw8rDy1TK5ompBgeuNmJ7fasQH7dG7on9u3oUOWcacSDPmy3Zxny
-FGD+WEAnuhpiEveM/7/dniWglXqyUGPcjRL6+h/b/Phvt2cRDOVPXVQd6kGB
-d64r7if+t9tDhmE+pdnc5V70yupFn+OFKWy3hwSvzTSUXkT2oWZN940zW8+N
-/+32ECDe0+LFpeE+tBHbaNqhPoft9sxBhQlnGCG8D0mNZ4WV8Sxguz1TUIML
-66Yb7UV6tW8e/unEY7s9Y5Bn6X5KOrAH+fDm6927QMR2ewZAfvKyeQ6uCzlm
-5CYd7Sdiuz3tIPHaz3WvdgfaqW43ZGxPwnZ7ykFuUneXmlIrYiyJ3bmLmozt
-9tijuxsBS7SiDWhCn3zo3kcytttThVRsVPTdfMrR9wlFlxUBCrbbs3Uv3F05
-78+Xhdj8VF06Wiko3YOve4KzC92b4XgvXpkDn+/7CBe8o8DpgPtEc9FKlCev
-9LTvZiVc2Ws0+PAwBUqcGbJSKu3BUdNsRO9+E3ifMN9D9CNDT3VF4Mm3lZAs
-s/Z5/V0bqF3QMc6aIoFu95+0+MAOMD83N/s1rROe2X/gxJ0nQQH9CfPpB0Ng
-eVniVPGVHlBUfZj8yJoIVyWjqR6rj4OJtz2u4WQfnBBpq/e0IcAj5tKsM7+n
-YWEuU+2jTT88eSURNEOPB/HdD29JpszDHjfFTXGRAUg7Fv18LnoejD8pWF0X
-J0JvuN7dD+YDcEbh0DGc0hx48RxNOr9GgtNfC6o/nRkA2YQlC//pGWDQTB+8
-6E+BOfUnKsUm/dBoMtbO/G4aJnft2/WAYQn23by2e0a8D25mcx/CsU0BpwYf
-d+69Zeg2mdvkj+mB8ZS1K7KhE5Bxao/olc8rEHWbMZKc3QV7OQhavofGIcor
-UXokcBWsSy0cxm06IPNd2a6LdqNAecMkleG6BtZjRoVTU61AlS63T6F4GIJo
-xYSSFdch48aHHYePN8Pg8HeVW30DEMbGzd46sQ7qSUvJDyRqIZK3t16Etheo
-C5vWOYz+QMD5yWbl6TLI5EzzklvuABxeutk//w+0dK9ZdCfkQ7Lf4i/N9Bbo
-TbUMukT4A46uohVMxvGQyLfKmWlXC5rUj/X/bP6BN7xg6Fivh8ySI/f1nSkB
-rjH2g/Pzf+Dbb61gTs5E1MzYNTHPmgxaOt9gZ/YfOL9y6lvd2wK0+ur4+/eH
-/FCvdssDZb0/QPes4P+YOu9wrL//j5dIyQwNlaRoEJKZdMpIKZpkJBUpIyQr
-o4yKiIzs7BWy93zZe++99957/Ppd37v3+/Pv4zrX232f83y+zuu8b9fzpCk9
-KETJN2YP5hKno7y+mrXEznV4xSOTle5fjpyIlBKUSovRnl3ONreu/K2Ho/vO
-CtytRbKaKyfonGtRUDTdgb36a1Cf7P1bnrYBDatb7OPOaUJ+4wqfJ7+twpga
-45sd7yYkb0S0bdnXjpZSVBY2TFfg6GReJ21bCyoVL2IrnO1BEQc55Xgkl4Fv
-bUkquaANTXs3WVbr9qPUrawEt8VFUER5l4QfdKDSZefT7Y2D6LQxxR4m0wUQ
-D6O1lzDuRHO6o/xvT46gSUum2w1dc5Dz5eitDM4uJHhs6pbvnTFEfWz5c+zx
-WSDtcQyo1O5CU6TOz2sfTyBGm+Nv1XUm4bL7QX3Ki11IvSrvyizfFGpersss
-UhqF0KgPv3VediIetkcBKdPT6OYX8uX3xIPwzIDZVoK0A72Qp0+hEZ5Fw6qe
-/KPF3WDeKsH0lK4N+a4LsPhPziLvzVMK35cawd7qsf+YVTMiZsmazrSZQ8nB
-muG/zxcB6Wm+xIi7DShbhMPjKe082t29d2K5xhBJ335Rk9xSjUj5VaR8fOfR
-kDvpm+fJJcij6uV+p5QiRE/p1WsmsoAGhR8km421IM7ObwnC8imoZOfao+fD
-C4R7HlsQ3xu1KTnqdDBYzjEXd18g3PNYjDIMPpdu25dAoAfRzjrLAuGeRyMg
-qywJJbarhfWzXuIpIfOEex5LII+DjeKgWyPsUI8ZCa7MEe55bIbHmleLYiZb
-4H3mRA/71TlC3lcvUPSlPFhyb4f3Ugd97SxmCfc8DkKFgW+5vXcnNMabsIs4
-zxDueRyDmiL3w7+2uyD00yQdBds04Z7HKVB4dJutsrwbFMLfGt6umiTc8zgL
-+imp1/hIe8CZMUR1QH+CkPc1D/6Vv8hfZHWDy/EQm8QT44R7HhfBZLSEXGCh
-C75TD87sKxgl3PO4BM67P8TuSe6EiPm8eLLnI4R7HldgfSDL88WBDtAjn7uz
-e3aIcM/jKhx/XtZxdVcbMM3L7HXSHiTc87gGCibyfMW+zfCVScOxv6WfcM/j
-OlR677+rNd0ARHY352rP9RHuedyApazEvobNWugR/JWwlN1NuOdxA7qveVwK
-CK+AfWFynklz7YR7Hjfh1YiBTPJmIZwQnK/wmWgm3PO4Cc18y05cjFmwl0JD
-jPdPPeGex0346TtJEtgYBQLvPiu5a1YS7nncBPfzD++bSCuhMUp9eu8jBfC/
-ex434dn9r9SRYdGosqisLqQxAf53z+MmbLx0ZxslykZMx+oNXwroEe553ATq
-QWYFc80i9NRwVq/NI5lwz+MGJDmnuqjTVCK3uMIWL+4iwj2P6xDjn+TwhaMO
-+a9xlOYl1BDueVyHcrnWD4LHG5HzwQ7/48ebCPc8rsGPrwund5U0o6Dfuz9t
-y7YT8r5WoSTz5hb/mTYU/1Nnz5VP/+55XIZ+xfJDhuc70LcTpt4TYv2Eex6X
-4IFm/ZBDZSe6tuv6/vHkQcI9j4tQopywz2tPN+q6cPkzK8UI4Z7Hefgy+/zA
-TmE3SmWfeCEvPkbI+5qFP8PH2M1Je1CBOvugnfwE4Z7HKTCeOsDEkd+N+Cpo
-Jm+LTxHyvsYg/OVoi/NkF4ptGL6+RTxDyPsahABWHzG3j53Ix8fvLdedWcI9
-jz3QqTV4zFu3HfHxNvhGbM4S7nlsAobv278+ZrYg1u7rkaGec4R7HougtPqG
-TKhcI5IhbmiSPDNPuOfRCJ0VLR3cvFGL6PgkXTRj5gl5X6VI+vDpr1SDxeg6
-NUedy+MFwj2Prehmtjel049U9Gk0qf/t2gKyfLnv5NX3rWhXQ0yq+8sM2M0T
-/UUzbAGa9fpllE1LUPnFgLiCslJgjfrey8q3AO2U0Q+6aY1hMTrVgl+9Dkp0
-mGXpk+eBqOqaj1VVCRi0E59qimwCE9qCDrm986DWdaQ+tKkZkpZWzb9ztgF1
-3yvB65JzYPBd3vqjey+kv8v8UL7VASySLhnajrPwhTzVQMVwCGjXng87Hu+G
-qZMTJLkxM9A9fSbXkmwcqhz15FRde2C+IZX68d1p+Ho5+GXbw2k48iRjk423
-FwzIbhQLL04CmvLkSD47B8q8/NGrj3uhg27mz8ngCeh/N/qEYdcC7EgInHa7
-2As0ZVxXTB6Pw5+z1y/+SliEl3nH3dRsemBQMnfz6p4x8KEMiLmCluGMN/uW
-pkA3PO7pv3IxcgQSWfd1LoWuAFPV6rC8cSccJStb4BYbhlkd4+Sq4VXIEduF
-Ah+0g43Pq5mflYMgOz57JX/3OuSJ6NzarG4BjtFbGufQAAy4vdNqWF6HyxZh
-Omp/z3PRXtkRhp594Ka3fnt38QbckMo/TtdfB2kgspgQ1QPaFvYNd3Q24dBL
-UfKm41WQ4XGk6sREB+jAmf2J85twlbaDZOZwMTQq7lOznfp7/uMsHue7vwX1
-MR8NQ72yIcBe9BVXYgMM1+oYt9hswTP6+zy8d6Oh2uGMq4xZNSgGn0r46bUF
-ueH3gtbaniHpJep1lzNFsBLW4aH9ZQvaPLVNavhiUZqzx9XGhhTI6PA9/+rO
-FjC/qg7VtMtBs83fl4v9v0DIjTevjSc2wVaIh9LxezFyLBZRfrQcj1Jarzz4
-/WoTbtz13M/9vQr9Ka9cMrQuQFMB9COL6RvAGkSjoXqoHu0i0s3hZatGd7xX
-zz0bXYcR+9EUX7YmRDv9KDReuxHVFw4cGpxdg6kSYeeX6y1I+4+4wXZeG/rE
-1BL3tWEV5EnU5i2N2tHvfqNIZuIe9Ci6flncaQWWfN0fE3t2Ihtm1eY8un50
-V7N59NTZZXhj+Kz38oNuRO/bo8XvOoi0Ffq/MnguwsNuRu8Qzx40dj/uR9DK
-MEo1Wa7lHJiHywL5Eozcvci6YV1b4eoYYq08WPJi3xzcXftExCjTi84fYNEg
-eTqBDH21659TTcNRH/+6IK5e9KOrQrnhwRSaJS7V5s8fA5LV0BA1i7/Pf/uB
-uPHoDEqrvqQicX4IDHKLiU7udCHl30KN2XKzqG49KtZJrBdiCzqC1Zs6EGP2
-xtVr5HNI/uDb36znmiE9D9kWbrQiYu+JwXMRc8h1RFxUWLkY4oeHVwQ0m9DF
-RSK6Zp555G3vdSP6hDHKj2yJVTlRh/bkPvvUmDOPbq+cSOWmLkPpqhIn14+U
-IvEA6tVragvoVeXyg9sSbagv3erYl6o0tH2l3n0P+SIhJ7AN3S+KK5vMygRa
-jeuil1MWCDmBpQgUPr0/TVUOKkIKC5PiC4ScQGMwNVOszZOqB+Oz3WoHi+YJ
-OYGl8MwrbUG4pBks9Xhjj9DPE3ICW0Aky+POGZN2ONrLo7XzZI6QE9gHvKyX
-aPjedgHrN5Efh37NEnICh+GulupydXgPXBdgFKKsnCHkBI7Dh1P6N6c9e0Fx
-jFOv4u00ISdwBmzPZDeP/32e/7El1eZjU4ScwDlIVreZkWPrgw+do3yf6ycI
-OYEL0Ku4S3l2dx+sUIVRrH0fJ+QELgH194D4AJdeGNh2L8wVHyPkBC7DcQ6b
-iqNFPfCBIyruysoIISdwFcgPWVyjnO4CvSELmXGfYUJO4Brc895OPhLVAdf3
-BQukcAwRcgLXwXb7grgFaRvcDOiLPBo1QMgJ3ICm8oRPtZTNcE3zxe67FP2E
-nMBNOOOx2ltbWQ+kNJxKzx72EnICtyDkj43aqnc1EE1FFAfMdhJyArfgkGjf
-1IxgCVT93Frm32wl5ARuQxLFR1ZORoAAPkod3ZJGQk7gNlQxXNAsrowBhja+
-qLOPawk5gduQ9jucyJj/OVJ2PHL81N0S+F9O4DasSEgLiL2JQ3sfnRHkJcuE
-/+UEbsN5G43BMIpcdOsEfxnlPh/4X07gFvzRk8r7llSCiAOCWRjRH0JO4Bas
-slpdOEBdgxpSiOWiMvIIOYGbQKkn2VmzpwF5d11ou25fScgJ3IBf529GWdxo
-RlcS2ogbkhsIOYHrf31XKMjE24Z+6MyFv2ZuI+QEroGgIK/3eH0HijuhtefN
-p25CTuAqjB9LfChH1Y06vTOkbvX2EXICl0G5uXWJtacHvX2z4Jep9S8ncAm8
-35Z0xfn0IqEZ9snO7n85gQtAQjpNnry3Dw1514v4cY0RcgLngHuzncOCrQ9J
-hrttoL914385gdNw+tPoKVaSPoQ6ZsHx6RQhJ3Acvt9OK5137EUUzCF06OIM
-ISdwCKS1+aM7bXvQzOi3kaxXs4ScwF7gz13hLxDpQlKOKhXPj80RcgL/7stq
-1qFJou3ohq4rhWT6HCEnsBjImc2ann1uRpneHFf2iM8TcgKN0Y+y03/ItuuQ
-TwelSEf1PCEnsAyV7JKXvS1ThogXHOy+Gi0QcgLbUFbE6QuHaDOQCkmwGivj
-InpwbfiVS1EbWn4fI/z4ZDYse5++EVS0ALb3VDPv5ZYiOzNR98NPK+CZ2ub1
-hzILsBggPU3+4gPk9X4h9edvgMzh3yihcR7Y61J/DRwqg5G5Gx03x1vgoP6B
-WPPT86DXzzsfQNMK0SF+njqVHaD2+rGczqs5oPgZXLPPrA8KijuKuYa6oe2n
-t5hNxCwUdJaMv/AfhgrJQor/vw+NLdRihn9sBuQrbMo79CYgZ/+04LZWH8Tf
-dn766cc0NCgPaBsuz4BSzN7XfgN9kJnr6sEkNgUMUlMT/1+3FLZlAlP39sOy
-39zHk3sm4Up2ChEp6eLf+rO5LdzRBzyhcYBKxkF6V7UpSd0SMFf6Hn+u1gf1
-9BHioXZj8ODQ5Sd071dgWp3a2yq6F1p0dCTEJUbh1s7Qz8tTq/DCiZzDSKsH
-Pm0zlV5ZGQaOzGEeFbQOlJYGyr/Iu2C5w/D6Prch2CfJyx+svgElxVcX7ki0
-g+5SsGvFsUFoiKrzWdDcBH7xvbtCz7XA537BVTWbfnDqzXz5+OYWjK84WZJk
-N4Dnk880AY29IDy6YF+0ugWKElQPd9PUwoFd4UqaRN3Qlf/hsIT1NtzK2r6Z
-8LIUwiR6wlsPt4OOrhRJ29A2LG3sne+XyQVuX0+t02NNsDCrLWPKtAPWj8Ys
-WNni4PZHkJ4xqoPXYt2kHJd3oGJQNily7wukt3bure+PMqjW8Dk+d2IHgJru
-1bBgPJoQDG1/bwzAohrmWti7DdUf1O8WtOeiz2TkCeaUYaDDtaP123Qbmu+8
-cdQYKEXPLY5Y97OEoKia0N+/prdA1Wi/n6F0LZomMbfoigXUesP7ZqDg33r4
-cfJ8wXIDctq+vx1QX46Wv3beTHm6CXtuc1R3KrWgMPmMIypz9YjUXyui48kG
-VFX3tnL/7SsMD9qeZjJuRWR2kto0bOvA5vdxvyZfF4p+unJgcbYLbUkYuj1p
-XoXlLy4eGj96UGJeGLVheB/qb51hjJFfgacBsb84M3tRYxpPvY7IIEq/mkpG
-n7wE8EOUflCnDyVMja3U5g8j6/eVct9HF0C1Xd4L/a07zY9OvmZmHkPC5pz7
-6RbnIAMYm3v39iNHjV+iVxQmUG1iLr9c7AyUlqsX/eruQ/zWrwvNX02hA7Q5
-pyJYJyAhnOaS9cs+pPhjil4EzaALR57UMkgPw9E1xDfg0Ise63XLc+nNIs4C
-e9Folj7gV7Rz9k/rRtbVfjl0F+bQ0XNpy7kKLWAR2ap1y/VvHzIuIEhRNofe
-sTH11P0sgekp38c0IS3I+cznuubH84hHkN1TRfMDWqh48HxqoB491vQL+dw9
-j2Ke8Owl0SxHVEpx3cue5eh5sJ+ctu0CGlX4NU0f2o5G04Jzrj7PREpksQPt
-nIuEfNF2tD7+7kXxtxwIvij6O7txgZAvWobEPxhVe8VVwjGnu4aKqguEfFET
-+GBPllnO2ghNDafurf3t2/6XL1oG8mZTT8Zp28CFeOP690vzhHzRVrhWWLDr
-DWsX2HGl2/zUmyPki/aBFjF9bht3L8xa8sYUpcwS8kVHwMszR27hb33I9e2s
-PL1nlpAvOgnXfaaJu8X7wa9RVMw0fpqQLzoLz9Y9nETy+6Hc1Gfu3NspQr7o
-PORsOftSj/SDw/uGuzs8k4R80UWQij06+iG9H96IyMoq7Zkg5Isug77oI/up
-a/2QlJVbsF43RsgXXQUzywpxWvM+CEoAw2feo4R80TUYYFvLLv7QC8cdFQf5
-ZEcI+aLr8KHOzIHFsBvCbzwI89sZIuSLbsKxx40S8o4d0IYsIh46DxLyRbdA
-mv29b/etVkgi/1bXuXeAkC+6Dft7E/SjExrBffSTVtLTPkK+6Dbc3qnmWm6t
-hWkh1V2RTD2EfNEdiBirMeByKYPZCmdRj+sdhHzRHaiOPnDo0qk8ILLLOGp4
-pIWQL7oDXT1ahc8X44BZyXE+OqKekC+6A7fvEm86tb9ADf6cTs9mKuB/+aI7
-sDf1h5QkdQLyubZ/04cqH/6XL7oDXEcqLtj8yUOezrcPuu+Lhf/li+7AYz3b
-rAtH/+qwcKnXBnkQ8kW3ITxDWvnN0TrktK8ibTE5k5AvugUZBq2ZgjON6ETY
-NSH63WWEfNEtkPLjy/1j0YrkErMjxU7VE/JFN+GBWrbcz9wOtIuB/xplQQsh
-X3QdqC5m224GdqM3t1UH4+S6CPmia8DWArNHv/eiytJodhGNf/fRr8CUZ5CZ
-hn0fitznyCxF9y9fdBmudDHNjdzqRxevXBz+EPwvX3QRkhiqatNz+pG4dzDr
-IPUYIV90HtoauRqERvoRVGx6L8hMEPJFZ8Hv8p0Aoux+tFxGnRuoNUXIF52A
-0z5U33uv9CM+z6t8vfdmCPmiwyAqOvhgXLEP3frM7M3wcZaQL9oHkjVMtabH
-epH9rNsNJYE5Qr5oC1BVHLX5MN6JXg+ssxm2zhHyRUuByjGb5E55Kzpm/ZhC
-RnWekC9qglD1e33Smgb0+sHw4aapeUK+aAV6Tp7ivTlQgZzjh5vXPRcI+aId
-6E6Nl8N8UhZ6J8ooxnJjEemihFtzmb/AQz5tPyuLKJQaMS3RQB/8443z3Ca/
-JZTgnJey2QL5CMZNf0qV017kRfwp+mc8u+ux55xp0S6RqXmMwkMNmIRzBzGu
-MULhaBuvhcTD7Dt4vo9hvO24lDC5mjJsXmO0+vwKf77bMefso45aqCRhkEP/
-2xiKMDxItrG7BObzxe8eMXmCRLz8ozYk07DnEJ35ROvirwdB15cMzh8fh3/j
-I2hkdieUGMDB3hA2ov4mjGt1ni/RKTNArt2vDOn1m7HnG7/NYJFtN0U/Epxj
-N2PbsOeXtnUzSnRoIVOhcs3jP/HPH/hG0UOA6TPER6tY/3GcxJ5/5dTlb/42
-5lAsL16nRd6Oca8aKSkfSRvo0Ow/xvO3bv7j6meZ8sZv26CkBy/v8fP1Y89v
-n5K7sSz0FV3ew60y2jWJfU7RT1KBjELuwMw1OTXPOII9h4/M9HdouDsMsLvP
-BTwdgYSHNktCfE2Qa+UTH3FCHa7nrS1a/YzDxqcNFmlpK/5El0amNs/qDWPP
-Jw7ZCXfbdEOStLMpx56PoH/PUX7aT7pe4wRte9L9Tso1Y883WqAv6VKzAYdB
-+cNJlbUYZ3lzCMhf2SDOLEb2RlJcJ/2NRV9OvP0Gr1Wf3v18cApbd1s7eza9
-dFsYYranIzkwhX1OdmoiMQUOD1hkudQv9hX/XndaV7ZfaXlC9+WC8otXujFe
-3v1lvYrEBdVLp83It7dinz/wm9dJK21PJMOVH6pk3IPxLOrm60O1/ugyW8bn
-Lpl+bB5uJ5H98hD1REFEeaiCZhT7/GoMX7dvdnxFbcMNRivTkxjnaT758tkV
-V+CnK1X9TDGNfS+dqHmFVCYXKLhczv9tDf9e0qzfgr8L+8AZP9fsQdlRjLvV
-F+8wqIcAHBCtSWOcwLgPI2MJf38QhD5vPjL8cxz7vl8fURVfZPCHADe4kmnS
-B9QaJGomE92gt6GWKf7uEzx9ls3J/iMZ+zzHpqRUjs59RU70lZqtM/jnz/qi
-cEBvwwkJvGd+od81hXGOYp2z9h1eYHfwXZVyHf69ggZrVEyPeoL2CR2nluRp
-7POsNLcNyh8PhrWISI0Y0wGMCx68feAsVRjsamFi/LIyiH1O2/2k9JK2wWDE
-ZGYZatuO8dBzF99W77jBY7oZoRnKWox/t+UUbTV2AekAMa9Z7QqMJ9Gz+e41
-cEG/DvUcqO+uxtY3JvvHgE9MEHK8N5VdPTiAccd+n12GlGGoYbfrBHIbwv2V
-Qj9+6EMIMqM9xXNFYwLjtBblY3U9IYix2IwnwGYCmx8K8rVLZ+Kc0Qlh1Zcj
-Y/i86ZNv89cUuaPszThdKp9p5F1VobMVCogx9CmfuJcNxHgrPN+rN4PN50vZ
-+lcZTwLgmWuJ1ut3OM9n6BbNeOwHjqo8u4UezGB6cD7cqP/BMBQW+OYPRytN
-YPNcm1u99GEmAnjIwqvM//av/7hn1WjP2tIfuMF21f738xF8nguOpLIIBEPT
-ZQ1NxILP/9r6NTYe72DwUHpyLt4X58zbFIf0KtzRkw+LPt+l6tE/fhBeRmu4
-ByPaoNc1HI87Me7TkPn8HFkIIrtjXPu+oBOb/48XmuqpUiJRiZTrr0sceJ35
-+FVG+a1CNNq7wbKr6Bjuu8/KZ5n7aTzRS59lot6YaYxzH+H0s2j5hf7wmYnw
-Ccxg8/yjjSQ8SP8bWCsKHSblmMPmk3yFxPduXzDc5swJj13F51mRiHue620Q
-LDM0HfzTNIPNm9lRx5KAwwlwxZXBypZrDOMHSTn4j2TGQxH7nbCPO6PY/BT8
-/DhO0hAMzz//uPuwFp+3yDddymwCMfBEJv1GXwXuU2KaQPUFsSjYW3Vp6nRB
-L6Tm3tB8en8Q5CMMV9L1PKH0rrAem0oxxq3Y4XKMrh1ISPFoSkqnYNxh38d+
-L24vdO+pLq9pWzk2/z8Mp5RTbkShwXeM3KT+fZiel6TPZVaNxqC23/rF6g64
-boP2yTAJxvihu04repX3ZzBu7anKo+4TiGwDng9+zcHnWd7JO+yn1Vf0SzpH
-0pl/Dht/c7HQSNYxHNzG35ft4Z/F5rnvtfT+wJZQODjMLRJ5ZhbTc+zaN4Wz
-+TGgVF47SCIyhc3PxrSxuuZoIry9Q/9DMQWvG6zOpF05J+PhUkFMtQnbADYP
-Co8Ch12ue0KqSq+3Ihs+bxy1VXsuZ9qjgIy0xBgqQP+46NFijSgTL3h+4uqc
-xZsSbHxxqXyd1w0vxGTzif30eDk2Xu22wa1UBy/0dO+yiDFvBTbPMYv8Op/i
-YlFDADO594UBjNtOvL+RcioetWtb3DtENojpvGA21XVxVwJyvJxq8SB/DBvf
-c2wP6XvmJESzkRhuHD+Ejbc3yGmpeJaAHJ6KU8Mk3odYpAkd+lAShPgEvF8K
-tM9g6+vy6KPonZRYpFZZp/A7Dl/fQ3J2clULIShRStKPiGEW4+IfLcnolMJQ
-o8neuo5zs9j6pr1kLs56bgeZy4FBtly4j3IZhp3uv4gCHl4WvSkNfH0rpkkO
-cWpGQHQF5/cTcvj6FpwZ1m+6FAd5GeEH35hMYT4SKyCj8lNOABIXtyBzKdxf
-nEcUt1IzkkBGRTXR+9Q4ti48zELOv+t+w5eGn4Z3qpow/pLi58qcZxSQb979
-6kzaivH1rFcLDUciUVI9d9mX+FZsHUmmHE7R+EehyySv/L6PtWGc6MK94YqK
-aDT3g6R29lYHNj9TLMbJQ0cjUQLzJH+1Ej5vWrcXXp40/I3ekBe+fiyNz9ts
-SsYUlYQvtO5oq1J+wuct8v77U52KsZDVrXLQzQufN6JHvB2156LBs4b4otNX
-fN6otTpzeeqSgCX9k0q76zTG71b321/OjwPVCl09Oy98Ps+TX367nzEVFFzm
-3JrWxzG/zBuMy1ocToWkGZvDfeeGMb7HxStAey0V7kvwRtfZD2PzRu9/d1hi
-fxxIZWR/oO1ux/hNPaoao5fJsOXYKaPgidcradrESsMTidCXe+OCfHM3qFVa
-BG9cGANX60hLSy43kHu7vHZqJx3jlJU8d4lK3YGY04PJ+E0WxsMkYz1fNgug
-xeVIoyPG39E/Tn4j6HjBLSvYPC7oFT8UhI0vtGrX9Z6xRo/FLotQBcdh433j
-Y8InEz2QJxLvaezIw9ZX/Ib46SKGRHTpJNNxRrlezHfhaYEXpnalIEgaliWy
-G8Z891monOFxeQrSra6xcDebwMYHnbLyr7+ZhvTKSV6sfcX3r5GMLjmq/lQ0
-GqT/9ziO9w+HMtaH6jcTET+NqljBf/Yv7blOaqGdaHQr3TpU2wHX1XC9dizT
-6T/IoGPMwt0c11W7rvEIbYMbmvvpPHpbaw7j5K6rtVydoZC58a4ZMubgH9+8
-aVjnHGUHVrEyqscu/ce/FypSbCEePq5fdNlfiOuwSCg2y9k2DgYErFg243Ad
-PuDSVio/nw7LZZLuBbp4H4K8ba+8HUkFQbvrNJRs+L65+Oe0/369VHgm2re3
-l24C09vTlYN5po+yQdX2CtvEK3zf9CamJxqvTgPGmFW6tAZch+LbtXw2lZnw
-wqPR0/UzXueTLDsOfqxNhT3stz9wNPZhelj8wqx+vD4a6JfiB/Nj6zF+I4zr
-qoagOzKWvN7xPTsX00lMdoJJyutg6KO9x1pZW4qN33WQhlstzB+0TCL6KG8U
-YvwFVcj2YKA/+hKnK5gnVoI9Jyruec7vjHBER7+3Vd+0FtMb7fV93ruDUv7+
-XbGxtfP9GB+QPJrQ3pCKtvRvm34qxDk0wG7SY1mIidOxitNlENPb+J3VhJmo
-DETm95ba7PEoxgtZGxOHUrMR5ccDp2Ne4OflXqpOr0MiaYjfnVq9xR7fFwIa
-ZKKcWVNQzB/z5W+H8f1d7/WaztreePTyubJ7eRquwwI6chHJjVikpK/gl/8b
-12HYu76z2ftckWP2iduiL3AdNuQNRmlphqLxvLYV9lKclwnNu753ivlb54rD
-H87i+nwg01rX2xcANDoMxnmOuD7PGY4RibskQKmfiOeR1llMV5/k6+8NXcqB
-i1W/l5uTJjH9PE+5dTtAAcD4NSUX1cootl5Msbe/hL0Og2cXBIV/yFViPHzT
-YDFUJhUKPHO7Ul50YLz6gCalw54E6GEPZjrB34xxOab9Vj+2gxH7exaa666V
-2LonHoqqueIWg4abLPUMgxsxXvrwE+IkTkCrBSQPqzJasPVql3XYEN7MQdE+
-kiotmWNY3bC9ZzjpLZqNVlvcKoKOT2HrlZrceI3qZRaqPOwV+IRpFuPbN2qH
-SWmzkG8kV134EXy9xPivPnxwOhFJvgGt8F6cb28nZ+vtxKMJj0Z3p1p8HW/7
-WZ+Syg9EhSxKiW9j8PVaNaBi1+GMQRYb6ZLv9s1j3H70iUhxVSKojsvKzpyd
-x9ZxskD5E4lzBBwrnwxjqMfXsd1lXKRlKBH6e5VpqSfwOmN9WUA8ID4JmDlp
-5XU2ZzFfVwX5/2Alz4EFFck22oeDGGcPvNfm4Z0LcoodOfnqQ9i6tKoYd1+8
-kw13K/1mTvD3YvyJ10Y16XYadHDyHc+e7gT6VujwJpmGvB/VIYdu3UCcl8xZ
-0nabon/cmVtnUvBVAOw9KCBodDQXG88pfkyNw8UZeS5IStJdSsTGm8TuSREO
-tYMgFV8DCPqNjd9zxzs2df078nhSUvDFJRbTw7m64k4nxjREG8Bq8iOwC+OU
-/Zl034nSUURr2MiSQTdWB3gcWYvS67LQOPnKD5aGQWy8/cu46Wr/bFT7K+TU
-ryN92Hhp5n0KJpW5yLaSh5nMaBjTW5jVN8rcr/kom3XbyfQavn+Jz/rt3ebK
-RxNP2ZMv0+Ln2ZsdtNPNj5PRtqCJnRcJ3s+riZqWUxxOQiUXyOTsl3D95G++
-M+4YikRE0TLP5adw/bwP7+qlJUpEPR//lJAL4vrZonMjk0mIg9w2s5oeknlM
-Dyf3JZ9nOJUC7tTc60JUc/j7EBr693d6MuHUaZvHFiP4ee2rgcSJpOEUOJ7Z
-56rBOIfVhxm5BQZ/mlzQLVHQ8mfEzxFU1ykC+GXzQYZTM7f8Dt5POqbPSSns
-LoTLd4WfqN4bwfhc7EAg7Yl8yIHZyQ7hYUxXp+pU2cT08yCLoSdu/6V+jNt0
-tX8IX8iB+2sz724092J64M0bj/xq6gQHCjQTbAJiMd45JMqgr58COZuPz6kz
-NGF80Xu0OJ4qEH37ZS43OpaH6+1JMBdjUxCsJGU1PvuRj42X2ONb2DMchN7u
-65BLLyrAdCJfZPHp1HIO2ltbf/21Zx/GdT+WJkaE5iEyJ5QvdHAA74efzhbX
-PShAXDfdb4W14P1MH0lbpIJuLipTHduX34OfI/y15R0ifVJRUurxvbTncJ20
-fTZp+CSWgkTUl0QZj+B6cGybftMXnYCE7GbWjvDgenidrzv98enfOsAVfCGF
-E9fD03u9wWbv0qC40OTw9n/OHSq2Qfk2l9LhNLV5ttI1fN3TeJH3wdB8oPrp
-v5Q9g6/76zT3ThGyAuBe8VElccXXPdCxbUS9rxC8u3KO8aaOYOvINRB3uqCw
-EA7fIF0mZh3E+H0it9vSHwsBaSKlgbUBbP59dBNdh+1T4OPTlMu2nPg6isyR
-fvPz/wP3L/+22iyvwLi6sUP1h5AU6Bitt8gXwcebEom087mnQOzk6fvyAjh/
-lD3L9uhrNPo2v8BGkl+F6SGAdVVU1DEFOX1QLporaMLWsSH0xfU0VIimtJ6c
-JlPC+4RjxtGMJr756GVM3XT6rQlsvB3tI7nrYYVIdZ99m8T3UWx/uZjvE7D/
-ejaic2Wfkrw0i+mhzZFq2HNvPlqVnqSYVf7PexhWD+relXRkOWwo+/YWrgd5
-htKIcps0xPvwyo6vAM7by1e6GVoyYDXF0yHmPr6+D80qio+5ZMLm6zM+9k/x
-9Y3N+PCmjaIYtA9cPH91EH/fuOf7ol+/RyHISQmcnTCcxuZt3XfofvROLpyQ
-NDVFDl0Y997Z5ZnLBPDW2uQBcXAH9L/b2X9Cdw7Ozd0hlqP4iWqiM6SLOaPQ
-P24nWj9f3eAGJ0WPhjM+TcTGh3t68cT330TvhM697dUzxvge4cj3DWIe6Iwu
-HXuVdBy2XgMZz7grlVLRJMeuuXXVZowXfHRj+s4EaJGH2FGCpxPz6TYr6xXx
-4kIkd8IjP2R4EBs/1Ff/KOxyHrp+UDlu6zm+X/CldbWJfytFu0VuWpZxjmN8
-dGSiXP50CXKpd6Pc9MDfM1yvncu9faMEHUotF5lfnsTW1/uuVrXL8yIky51W
-cvDRDMZf2FZF8JwpQK/fKFj/+YOve6zfDRUr9Sx0v7Sxc0YNX187D+vf470Z
-6CFjrLr0E5y7JRhx732YDTxZCwau2nidj1Or7ad9kw0Bc+NWNBR4n2C2mLWm
-uS8H4r42a1/4gI/XWIp+LRCcDccjJs8XUs1ifveNLthFl18CB9Y3ROwlJjG/
-94TQ79zSLwWe4BLLE1fGMF+LCT8UaLtVBPfPejk/fTOI6WR5z+lSyZeF0EbV
-SXWyHq/nl66x822KFYDpqwQZK45ebN2v6NVpCNxOhbJyu/HDh+oxrqDhv/eM
-qQsk6NGmvv17rvrHC8qeZycdioerB49uXFCvwDgTe99pKsUw6PKcQ4NO+Rgn
-N+oUE/IOBY3Xxl5dm3kYn64oqVd6E4qqaw95S1kBplvBy8aW546EI7MDt+JK
-DuRhXJr3MC3rh3h0hk7GlaOnDOOkecEfBeJT0dg5LS/r+3WY3o7ZRESEiRYg
-Otuj1pyGvZg+3/LHLPTsFKK7IX/uq5EOYbz3u+4zY+4iJGWYOlzDiL+/Ylgq
-lshwLUVCN2OrOKnweiJ899EFCeVS1LxDYXR6H97fqo/ZNK3czEUB7zSKrVTw
-PvbRasmQ22wOkpBufdtojevKSuf9rdZ72UiEV7BITR/n+hr85Lf6Abi+lxoM
-2eH6EdqTbVvamgvj5uEr76RwvW3sfsd3eyQXBh/N5dL/wsdbnhtWpxXJg8md
-8Oeysvh5xIRdzQt4SyHp/DMJu7cz+O8aoW9lJudLoCJLc7TgMX5O4ThBPdbT
-XQJ6pb2W5fdwfTYJ5ejbny6Doy+OXLM2wPVJdDxxd8Lfc6kr7cNW3SN4H5Kl
-1T4v8bQCDI7fs4k9NoLp09Z0raJbshToMji05Fv6Mf5hbvDem9BiKCst9tTY
-14/pR/ZhiMfCxSRoP7ZOxBxTg/FZB28jom/5kO2RcscroR3jxEE334bYhcH6
-s8E3bgm4PtV+X8kzGMqGZXPXCHnNZlyftuYn0L5MCKvtf4ncGzGe+7At7Idt
-OBorvMatoYjrkzY73PZ7axJKaxASPWFbjfGUs/eMNvZmogDZJ1WX7Row/s64
-La5CJgfddX+3fTG0CeOiL3t8WYrz0ZYdSffQZBumZ5fPO2txvoWoVv+C2B+h
-PoxXJn6OKQ4pRnf17knz3+/H9OxgfolUjKEMLYj/UXm0NozV1YcWDPO1paXI
-VnqA7smtcWz8uI6/jsWBCuQhd8CEOWcEq7fqRSWB77lL0YvKC/vO3cTPd9v0
-J1WGlPORn1d4+MovXP/O0Vw+vz/mIouVXDbWN7j+n58tPOhQnItUzbVsJf1x
-nYt+Zxf+1vi3737jF0HnhPddns2zlFSKSShBmWZyQALvu9SH88/ZhKfC6mBa
-acR9vO8KFxXfPS+aB+q2wmv1obj+f6c6RTVu5MPCm/nprq+4X+o85s12bubD
-e1OqyMwUfLw4t5TlrogCmAt0XH3/E6/PQyqk7cbSVXAyQj3leAzepy0kUbNH
-cVRAsoDU8VWuKUy3Uq7mbyUCKuHwgztVd1MHMf1sZhoc8EjNgzBOqgcJSW0Y
-P1jURKJtVQx7mVUNaCa7Md4UEPJUry0fyOHz5TsUHZC+whim1bUATnNhi7Tg
-jeaLlcxtW4PRP86WFuMe3uUDFZ3lB5wU0rDxcqJTF434pZBWU7uR6YQnxl/l
-OXTnJ/mi44ulUxWV4ZgOKbvv/CL/ko9cHnUMqfq1Ydzxxon7h7vz0fTIgZsN
-pO2YDk/OS4fs/PhbJ7dMBr5fH8D46TmecnHXSuQnWtBpvzGI6bDyx+xx0v01
-6Nn7FQnZa5OY3igGjNSF71cimeNKRsbS0/j7H9+n/rQmhSjopfzH2lpcbw7N
-5y9NteQjp08X2m+E4XozK84NMObPQwpn+859jJxDhWTvKrP96lCaQuFQP68X
-Klyx+bbkOoCN7+A5GKEVmA9uoelfrQB/zzO7zvfGvCIVojnK0rofzGM6yZvP
-jFI9WQQaBVlr3hm4rjjP0l3jiy+AH5zWgsy1uK7keV4dFSErhtCrbOdLKvD3
-BkaWAcryntXw2v9KWjbXBFYnyR8duSU3VAW579pr0QH8vdDrO2UOx4dr4Btr
-sgNRzCimN9Xgbe/akUq4FAVfn7fg/UCx/eBwyKkqYCTyMSKdwnV4qsBnMH6r
-HGh2tj8r2vdhXPjyLx5z0RKgb5TKpY7qwXQiwOIsGJX+t295tTTJ5dCA8bjd
-0w/VkjzBTEghTUE4BeMh+tusInXJcLHpj8fvy9UYV35Bv25p/wfEnNYfPuYr
-wnhG9FxZ6e8weFqrEfHMKw/jf3KVxAt8wxCTmdnro47JmM6R1rnGcbNo1DQb
-W7xnNRvj5wa7jg9Jp6CAnU7zgsUSjLflHfeVu5aDRL/KNmhp12J67taIXy0v
-LkaMqfk6+We6MY7s7KlPSJSglqloTabgbqxObuiHtXmIVqMFD6aEV5OjGOct
-6efY97sGHepT7PR8ir8f2yh4PLK0XIpeRx7jMmWYxXR++l4b47RrLToUIXSh
-WXUG429OCa1Ef6pFH7Stb8or4u8/C4IEOpvZixCr7aPXKV24zkvpLR2+nMxH
-mZ39vz+kz2Hj5emrSCg9ilGgQ/6unR38vcf8Hxv902nJSLHyt1LG43nsOfHO
-TAbfKAuQsJVM5VQJXoc/PeLxrCpIRUaih5QD1fA63Jk0385alQo7/MTWUw/w
-Onz4Qti68/5CyJRRfU/XivvIWGI9tmc7/e/5uIX+owruIzP62W128RLwbZJS
-DxrDffRxSmtshqUI/oQRx2uM4j4SS3Z0KXpTCutiNEROW3g/M7lng/38lTKQ
-ej/KeSYA72doROuTrtyqhVb/yjBrjWnMd/rCRybJb9TCGdZLsy2hExgnPUrU
-TWJfA9oHF5WptHE/7jfJFgreqAN58yuCWh14n1PbY8Lh51QH56+aTXX5jGE+
-CiATvCkjUgkvQ7TEiKn6MT3XrvtEtXtnAg/J11j0qB7jZr92WBjEY0DbfZTF
-hbsY44zk+xum6AsggTqeRXmpBeMFrvIfRgoASDNf9yiGNWL8JrKtmPONRZTn
-0GP3y7mY/h8dGLVtc8lCqitepqmz1Rif/kL75XcloJTd8zFVYnWY/v2j+rQt
-71SgCRp316CzeL9xZVD8/SGhKnSZ5hT1+PUhbDyHsNq3ZL0KZLX9Nd+cHx/P
-I11x51NYLdIx6ty8/wfvQ0Rs9YXOUtUgi+euXievT2I+KlixPMXcUofkn4yd
-srLB+5NnO1bHkodr0cPIUV7Sdfz3Ak/ft1N7LErQdw7KSylUeF/x6473/kvW
-BWj0Hv2OVT2u52Hqph8aM6nooYvOrdNvcP2j60700+Z/z602hmz5vfh4h5y9
-ATdW0lGK+aRHivE8to9wjP3JohCIQCnf0COJ4wsYV3nFLLn3xx+IJZZOdB3F
-3zPfs0yNnj+UBVe3C3jp3uN+SU6XSX9mVgTUXU7nQmZwvxDtcVcru5UFdZwh
-1Qn6uF8O501esNYug4EfjQ9T6PD3D16Pkokv/u2TqaKJz8bv4O8fLG6n7Tln
-WAbkzb3e7yLw37/svn7bU1lcDjbyBUoFF/DxikG5lBFclbDvy+o+RIfvUxJG
-NDThK3VAOru73clgEttfxM8WXKARq4NOqddFo43DGCd1WZY+H1sHy1+6jVvp
-RzB9+im5cCxElgAN3+JaoXQnxi9eLO2iZC0G7oKkp6/H28HJ/JpIluQyXIg/
-1xx/6iH6kFCebkcXgfGxzsbkw3cCITmGp2PfVA7GQeuirYxMIOKKGTUmCnBB
-/7j8Q201A50gVLZIGV6t4YHpv3fgeYSFUsFfHRotmDY2YlxuStO49nQxMtKY
-zT1r2YLpuZfaBqoM69CKCVXns2sjGJ9REFC1sqtDeXXco0KSI5jOmVnjquw/
-N6CIxt5fZvumMZ44RsbLGFeHSLlGbExFp7D94i2PQlPh5wokyXNY47MM3udY
-THz9fCDt7z5yUcPwOhuu88FVHQ77uUJ0hVsoxWocr/+mSWk0Zg1lyLfH+dlF
-YVzPffISnXTCGeiuKcPlVRNc/4U27oK9K0XIou1Tuv0qPl6sjldQ9EYWmuNa
-+PnUDq//o51aXO+Uc0C+TvmIqDWu52GNk1nVa8XAnEvBcHsvrn9VJe/AYxE5
-kF0pqmH5Bdez7au1bYNfFeDyx4VY9yquZ7Epd59JjlK40frWgeLQPKbPL+yH
-TaPJqyDwR2Q033/+D2fzV1DlEdYqeM1DFnbyMa5nGpPgVyRMNSC14sru8GAW
-q9si5e9pMsTroe/E55dX94xjuvUIO9S3n78R2imPNK5a4/3VHVY326TyelB7
-kFV4J2kEq/NTyyxJyfS1wD2128LKewDj+pbWOWzMDRD069yBiaAhTOfrFJ5r
-mi8rIM3k8b5vlj2Ybs986XbLIgsAD8tHmrJO2Rifp7hKpEWXCUn7VAyEe2sx
-/kDxxaRGajw85CCWpAsqxbh7/ozbZ6VwkHyn88naMR/jfKFM+XlW4cj/G2nM
-QeowzBdyq9etr0gloKgatKF7MQ3jv8yOHX4Ql4limcz/iFwqwnwR+uBTs+ta
-CUqhalyzuNiG8Zwd2Tl55Qr0Bs2RSh7uxPYFa2k30UjRWhRzOiClnncA4x6K
-34ZNWuqRSUPOlugk/jvR/lROFf8v9ShgcKSPZGgc81cKR3RJJVkjkt2+Vz+R
-OIrxBSP6Lp3MOmTifpzf8BV+br0peVq37e++M5o84Z2pNYP5rtniBZ9+dQP6
-JHhI8MD5acx3EWJuG+/JKtHRfeq+rMq470rammP2dJejnI8RfGyP5rDx9SIv
-krjUq5H/OZZIKxe8HxP8JjbkqFGMtl90TDntnseeMznKyNJ6rhIZmvh3NKr9
-5/dKTzkW0sAsZNPoSSLqgPvRPTA/XMmsBMm2/OJRocJ9x1pjpZkYmIOIm3QO
-evrg/JZevCiPci6cpXjmzOKK+3Hpl9S5LstSIBlisz58HPfj9x8jOp0/cgG+
-e12fdsP9GGT0Mqe75u85d4yNU/IF7sfsneKf7AVlIGARYPKTDfcj57n7Az1i
-tbDGcWwvlwbuR5lEskYa2xoQr5xlEDKZw/oxyt0wqNlXC+/NxT85BuLvw8er
-HyV6k9QBcVbZ5RPf8H2H6tUJG4f6Bhhq8b1JfQ0/d4vJjNGH09SBdo3l5rG4
-aczXEmttlt51jUDEmOAyzz6B+Y7F5mbOpexKkOM3uNh0txfjxgLPJYpJayGW
-VvYem3Mf5pf8rZ/SNJWJEBKChII9yzEuXGXieyauBCQXk1bedbZhnKuBgZde
-Lx/uJYokv1FpwvgBo2mhsy/ygf5FfPLdx03wes+z7gNpqxBAe2zXxG5ZxMpl
-PUntnISNF73HTuEQn4TYEs4UMyRkYX4U46cXEZHNR64ymrzkRlUY72xvoBf0
-KkCHn6U6CPjXYH7UYpETOUlfhagY4hMdjLowflr2kfRN0lq0w+92KiKtB/Pd
-YT7rvVt6jajBXNghtHAC0zknvRHve6MaFNsZtVEZgvvCvpmuK3t/FXqgaMAj
-YIz7gqmMU/1waC2iVFP4NV6G+yLiygc7vukSREn2+kP+YdwX7+vbiJ9ZVqP+
-3kUr5ID7ItSv6DiDeO7fPvab/YvfuC9ICyN4VQ6UIfPZ2FElFlz/x+oVH1/5
-novAvsjz7R+8TzMeC4spHopE2y1hNmOnFrDxPgoXTnT9PWee/fkzNisI98vB
-7Ct+n+nKYWj09xrTpf/4Zd2Qy8YrH6pK5S+IxuB+MYykLkghroUGR9KLv61x
-v1R+0VkYe1EB+hpnip5cx/2iCt6ZdOt1kL3/HbHub9wvRA475yaWa+FL0r52
-B1/cL9R+Rs7gVQ9fv/YerebB/09p6+PdlFsm9UChNH2nPhN/T3Winl515VYD
-ZK+JqTqozWD7V+VbmUO6VY0QvlGo3F0/iu1TRO49cxfONMB25JOHXCFDGA85
-q70j/6AZJt1P/7iggvdvybOTXL5CdcDy85TeMU38XPNTfzNOmKYRbM0riGkF
-BzE9y+dQvOx1yoefbL7ufOa4L26b/rJodisDeiND/UcvO3BfdJO/1dsKASdx
-knuKngUYFxHoCL73PAw9CW7LDx75iD2nn2GmPrMwHxnbpxuLC1Vjvjhwlkel
-ZV8pShzxEif+2YBxIe/8/VReZUj99Ccy3//0e6RS7zIC3tYh29575x3aerF9
-iujDF29fxQYUdUpivAQNYeOPHjmS3hvdgJ7V3aowk+jH9qM63TWRL1RNaCz6
-ajf/1THsOfeSGi5NHm1GOk+5HbUAPwdNelLOP+BsRAWu5A2i96ax/YtR/LMO
-3KlHLoEMJkZr+O9ZFNcvBeap16Eg0fsua/34+wTSq+Npdvn1iJP5gLkzBe5T
-PuWN851CNSiX+3RPmTfu0/211wJW6OrRQb6jEj6b/9m/GFhpzczK0C4OG4Pz
-F3GfqjmPcZPp1CI6F33dgTjcp3JzN2QlPuWhK1s9GuppuE9tu9a2J0PKkcHa
-LynHK7hPe1uMnyTX5yEdUxmTvizcpysR987HG8Qj2nv+2WeE8PPUZmX8qz+8
-sRBRdOzq/jncjweeHfUM6ckH4bKx+v0JuH9f6uQrQnwFWGrz9OmL4+MbKSmZ
-9/UUAIlby7WJLNy/tElkPG1n6uCGxcH7HcG4f7NWhvafOlAFa+4xW2qPcf8W
-3WnVd/jdAJ7SZ7If9eL+VR0nCTjLXg+SNprkH3Jw/358dK1lXLoRXH7WsAlk
-zPxn3/Q4szXdAL9iRD1fjOP7Hd+d6W/BrI1wSWcr/qYivt9F/Vqir9ZuAiLB
-M40he/A+lpUn+wdHZzNoCN67+IUU/13GzOZX0qVHjbA6ukux7Q3+XnrvrPW3
-4vkWiGns/7XKP4756LCRpHzu8yqwDdyToXqzG+NMkZd+1QfWwJzoxLu5oR7M
-j6TP2c1IFUNg0ZRzpEUa92mSD28vo04unPKP+tBA1YDxxD9P7IUtk+GKQ06q
-zkAlxrsp5Ol5M8Mhn6lT8VtBIca5Y7psLBdDkaLL40Nmn6wwXqhjdG3q6G9E
-Lev4J/6ZEsbp+Y8cveScgc5erOnJskvF/E4cWBRFll+Fel95i1ZttmBc4pKG
-v2ZIDao5QNHoINuG7YOKr1LC7vC2oLJuur7Q8UnM169sPimKaLcgcyV53z8S
-45jv+EVjXKM2GpBiIvHzsWv474OFbwK2kmgaEL9B6sImwxw2viWmobGnpxH9
-0rbc+04J96mN+d3Sdxm1qFT+IvulTNyngvQLFAxfGlBL/lsXif+c+3iKdl2Q
-p69AV5NKsptu4D7drlf0G/WvQ/OtnulM/3nvwYpmFdz/1snbvEx2zKW4T5kY
-hZ2Wb1Wi0B9J1sT3cJ8WJbHzC58pQOaMRxtWKnGf7p3byXpIH4W+saxcfcGM
-+/RBgQLJQ+NkVCjf7qn7EOdEGeQsgR9i4SSag6i//sXek3wmUxZwTgTte8II
-9i1gPv113b7MjKsQzp/1caXMw32dMjIlayNfBR9Vr5cwyf/n//e0bh304SyC
-LuXYDrkK3NfEO0MMLrfq4cwlvWrWfNzXCT/vBFblVMPD+Yqamte4r+1EIrmk
-HzaB5nbPybGD+PvGNWLhxBOqDVBg/uTU3S7c1/f2rZbfIWoGM38VzfGj+HvI
-GfmDGSaqTVDu8VRYiX4O8+N1l4Sdwi/NINK/rlJ+ahp7jnPdOJ+WTQvY+fYH
-Md7B64CK1rgWeVML6D++Vspthfe3O5YsHOaWLaBDd/zo0o1JbL9eMbpjvN7V
-DIXxlB80o/DzacpRKbNq0jYoeSpZtRM2iu3X7afM3M1tG+Few9RVA6tBjB+p
-obL+c6sVJAVq1BsshrE6ENPYsHepqQ5Gesxff72P98lB0txjL2UagfvyyrX6
-pn6Mj/vqF7B+qweldoUDvgV9mE9DqRmUC1XSgZe1TP3cWg3GT4lv9r0ZL4dc
-/8q+rZZ2jBPJ0igeDCuEp7qO+q8fNWPcR+PBKDV/Ckq6eG+G0z8O/eNyD+kZ
-k6tyUZzarV9Hv+Vh/OGaNEteQCHa9WCsT8uwBOPzPXqGLhWVqFSmeknFuw6r
-DycY3GWvktcjecPpTJYnndi+H7e+941MQSP64tDrTjHXj43XHCpmuFby1+8V
-r+Ns33VjvOnRgaOl9vVoq+ZwQuAafi5Wt1P7epu5BQU0C4iH3hzBnv88olf4
-7a5W9OUL3SqED2LjeW3p2Fa7WpEo4zXSYQr8d4clUlNatRstqKj/x/Wu6Ums
-r3g1EjMUcaQZCWjo0UhO431FUL6xPF1kEyIp7rxlYzqLjffvnNR4uNGM3Iz6
-6hU58X6D6zbDmXfJjehryIhylxRexw6Rkd/um21Gs229L/r/cy7YiVzYFdhe
-h+SiLsrGt+F1bFeo5Q/e5UZEJ2WcZCGL1zHZY8niJWmViM5ZSrJJBq9jHU/u
-cAU11KM6MkOFm3N4HXNNCr22RleI5r+q5Dq24HUsKf3OPtOVKuQ+/TWl+iVe
-xy477AQubRSiNyUiP5n68Dp2kFv35tpqPLrpwXfWQxivV8EURiSt5ulI8Bh7
-3ZE3OO/ydA6fKkyBdeJdBvLHFrA69jm4J0PNPhU4nA4/amDE61gAfbii3Pci
-ePw9MrayBq9joJT+sPlADYQFJP7h0sLrmHfZRhm3fTGcfZbL970Nr2MdfzLq
-Duo2AMzpJuV343XsjqTSd4NrtSCeInjPz2Qeqyc7ClfnN5NaINNXmzH4AV5P
-nuZr3dtoboWHkfsvu9Tj9YQ73sAnsqMF6J60jx15hvcPeg7ptRRHO+DcYwqB
-fB38HJF6F+KQThu822z/ytw8jj2HIiXGtj6jDbp4U8RztyexOuA0fmtJm6YJ
-BG69r5S4NYD5lzhS+VIMVEJVaoos3/lOvM9/9/OarGoxaJKsF2QEtWA8m2Qo
-1F2gCv60GGkqmuLjV+iYxt1Ki9G4ocNNv9hyzNfq52ZyuNmqkGJYwu6S7jqM
-v5KsLhcVqUJkJtNlr6dxv7dTvendRdmEKj/P0RRs9GD7/mD93RdGJW2ozuv4
-z8PXJzA/niivfLZu1IF6/JjCiM/gfT67Qjhj6k472lb4Wl43i/s06bkEX4lE
-C1qMF+vumMV9StbGPrv0ohV9ENmqivedwcavMDv4vNNvQ2ihpdfy9xTmOyaD
-cH8SuRbUJxiD1BJx/9ofS7UErnYUeej89RwKvA+xe+LrqCvbjH700HJrmOH+
-9bu2R85vtRWtFCU/fTqE+3dNlNQqYrsefVQLj7Va/s/7ri8SXL1vmtE7Oomq
-7I+4fxUWr2eAWjXifcVtyqOO+7dU61neJ7JGpHSovseNEvfj7rSSiJe6Reim
-mQBx3DDu35MH/LgN4mpQuTuL1poBPt6nm9H+p2wxqr1/5HvWDO7fmmnjE3bP
-UlAi+YyJtSzuU+Mn2ZqFttmoY2X9g4IZzpXzHlgrG2cAHZtb3xgH7l9LOyq6
-JPtM8KsP0LW4jPuXrthgVdfyb1/GeZJOsx/3qfYRt5/5cyXwzUC3/ssI7uvO
-loiVh6q1sPjC90bsR5wHDq1dy2CuA641Bb6u73i/0RsmOsMy2wTcpyuEdc/g
-fUVii4aUtW0rnHEImJvXwP2r2P7VK/ZEBww9uE986t0M5rutH1W2r7g6QILt
-Edfxt1MYLzbr/Kky1wEX9S1Gf0ZOYf2A1n6WS4++d8BGTUXzWMIY/n+Dc6Pp
-nQmd0AAypAKTExhvpn0gtkugAzSst8M29fH3aZdIrL9b6bbCpXbm3JGfwxj/
-2Li7tsquA2IflzfVLY1gdYCEsoX+pMpfPR4YlFU1HMC4bvVDJ5m//UzBTvxr
-HYdBzNcNZ+tfxzbUQV2vv8DI/V6MixYYW4YeaoARJWrHWXK8r9hfvq8G0dRD
-Ft2LhwGGvXDtm7mJIssGpP0fE+cdj2UXxnENsgohIhGlaSQzcoimrFIJISQN
-2XvvyCqjVGRnFrLFsffeezz2foyQitc/7zn9+/1cn+uc59zX73euc+4b5ywH
-PcpimPMpL5BNsA3xLsfmxkviakC20DPgoEER4redekLXLROhsI6MvW5VNeIV
-MtYCpgxxUHRwJFvnfBXispzvajaTk8AbnmPZZ498QXyg4o76hcOxgLk1aBel
-Shri7L9M9/l4JQO67op7JPNxiFO+7t/X2VgM9DKOUy9O436mZDFEMOhAKzjl
-K3j7+Y6O/183nlVTXs+oDqBwmCpeWHkYxQfwLoVyXWgF9k+FJmadOxEPnbz3
-nsDYCnJH9/2+rdWJ+g39ur8sZ3K6QUMmL7PannF8/39mgsu+uAd8cJEcdHlJ
-QPFuWiYc31X6wM94Pf1TZyaQT/JcXrPRHukFYg6Hdi1EzuLvLYkjaS/9ewHZ
-C/a7h//MI786TSM5rhvVC5q+SgydPUpE8RobJMXbsX2AZqPxmMwd/P0P5wx3
-ZDp3O3hp+Km2nQ77xu+9kqPhNM3gjm3i3S077D/Zt1rZimQ7wP3dzmeunsF+
-0t4m21jRWQmihv01X/3Eebau0TYu5jWDfr2rFQGvcHz4r4+uvD+qgIbXNV6W
-Lew/JZ40YV0wH+y7FEnqboh9xlYyxSVop/88ZCx3/0kA5ocWogTKRYrgd8cD
-u42ksf+USF9epAqGMEf5ZNLaVew/Dww8GP5MVkP/3xNua4vYf4gydiKSujVw
-1Xjo2dWf2GceDBv1rV9rgRHUfxjjA//5vuLj1h/Onf5842nZ98AV3D9o07ko
-CVC3wihG5sOhEcvIZ4Cd+nOV032Qq0ShicMc+0wUkD4S+HkABjR10DJw4e/V
-X5/M/FtENQilMk4YqGvi80hjTKj0x199MN+WetWrG38X4dkb+Scqqw9+ONR5
-pKFkGvlAFsPpyCL7Hmgj9tOrIWQc8T/9tIwmv3tg2brU7OemcaT326n+ndTs
-HbA3Kf0XvQQB6aguj+axY2gZfFRdJRXyrQNxv7qVrUPRefCrr/Pkwp4WxOWu
-9KxXbFfC5RbWewlLXYjvF74fOrY3ETb+iT1PF4l9gCpfk6/BNh9s9Eduve/9
-BP7nZOaEvcL7ysHr7Wh/2tE8xLe4teXYdlUBlud+9xoIxUiP3HKWHY9ZO4DL
-rRLRh4P4+7rKnrmQ0dE+UBbwySlUYRrpK0Lg2LOWkj7w+9L3hqBJrK+jUgdS
-f6YPgLjVwzMHJhdQfG/joNillAFQ+SC8P8ULf18xJjhJ9qx9AIwFip6/tYTf
-R4uzOQv01fQBaQHzcl1ZfK94X+oB/+KtHnC03+nKxUXcJ4Q0Xo7pud0BWPYr
-cTafXUZ9Auup2OxGsi7wW0pkeNAf9wmS0ncVWZaaQUUYWbaEP9ZpfVStaqBr
-J7imq/XaQxbrbnN32sND16vBhP3q8OG9KygPnfWIcm9kC1hcCkv/+AHHh3l/
-uJtzrgYsTbuYXqTGulMX3rEwDghmRTeKRl0xP+M60qPWVwpKU1nvG0RhfvFp
-uf/h3SXQdvT+WYo7WKfOsk61e9pKIN1yrMfDB1inHD9JlUwe1MLAIGVq5b9Y
-p3Jv+WfChmrhRWGRycbdK0h35kwwqJO/FR7ZNVXC9s97h5LRNbq+zVZ4UzrG
-v+XbMtLX6cE/V9RahuDSGbXrE+NzaJ8N8kwLMhMYgMkPSmJKYvF9vnlpR80T
-syH4oVnx8UlKvF9vlSrp8nsNwvab2i9suLDung4l+dqQD0K26qTqw4F4vz7v
-erKb368fjlXanGOdnUC6expykNge1wHtjvgFFXoQEGeRUVsYnu6C7S5HBDiy
-RpFeoldEc/ek18KJt3tap5R6EW/X/uxJqdMMswxtpoh7BhHvn0hie3mqDiz0
-XthUFqhEOsqiN9dYf9gM1GKOUe/7XY901MI1w8U01QFK7//omS7sRfuX09s/
-r4fKewBtUdNsojEBxYe36ZhkTHeBYK/WUvYWfK6ftGYO3341ANyN1NxaDk6i
-PG6Vtd0UxQPAa5HP+tjpMRT/lkb36bLmIJj7/tWE4dEk0q/slla/+a9B0PKY
-xFBUHb+/fkkZwEbgHgZfa8UDJJTnkR4LqW78zT09CNTvKrOeIMff+4299+iX
-cOsEe4Hek3ey/7z/OvAov6WrBcxU/LXe+PzPfd27r62XKGpB23f7lDh6rJfb
-0V0y676twNW6k4U7BceTiDZIcyXUArbObIujLP/ct6fJfKjsLQEKzuzqMWGY
-C1g8fyHyqRwE5VMRldL/OS+7CqXILZbCUwffKLTpYr1E/qq0EJosg1yP7ixH
-vcB6yTBI5a3oqIMDbMINtpSYv1hkV6zVr4ex6WcVOGixXlT5Pw7MHm2Dn6Un
-yI5+x3q5159Ulr7QBn0ESFXeFePzr0f3fKS1Tg9ci7p9vdyFiHTho1nuWNQ1
-DHOmZrPJi7EuPD/dPhAUMwxHT54dFmWeQZzFRzOzI38ITlSvETxfT6M6HyHT
-EqZb64G8UvzkdN9xv0qdFR7hq9cHSQ9WLGndG0f17CbNCV/s9P/WJxWJy2O4
-zoPDhBXEbrTDhIKXv6UvjEBGmvBDyW//Ql6hPfsfUpVD0ULO+et/OxF/MCAr
-G1mvCSJVYpxGD1Ygbni0/ohJ7jcYGm7e2n6rCXEaOZWf5AkhUOeo/YHQ6mrE
-79LsD9VQ/gb0M7Kpsg/nIL6x0mJ1/FsooDKy1mZuLEG8mWVycoYtHRzNvtGj
-q56FeFfuMfkYygpQzHmT4nVEFNKpSu2mWLVOC1iju7jqotaEePKXy46rV9pB
-xsl32nLDrUiPegfP2V+U7gVux8nb2piGEP9DVjR6hbEPgNzJeMb2IaS7J326
-v9ZfD4NfBXUf7W5PIa5848W9dyxDgMajfHwsEusx0mlhTyvdCMheD1wX1cB/
-L+y7YQyLy3bOudfHw8XSsS4y+iil2d3rQKq+TwTvMayjB88Xc2Qc24Dblha5
-SCGO3xfntKDPWw/Kz6kbVZ3Euti8brG5UlcG9hWTPT6UhLl/ZE5V9koFaHpr
-5vzqB+b8ixXELyXlkO3LtA6bOdZR4PxfpnG3CqgnVq/kYYv1EvFuPnhOowHO
-fLjPZs6EueXbrykEuUZIf5FcR+Ao1pGm8mErwYPtMOdx0Wxq2T/n0Ak55+z6
-TlikM9QhL4bvvYkV2Vq3g9thy+vU9fYN3DeuWHTVOwu2Q3JO7xrvSqy7APuX
-tSKOPVAq5bs1kzu+D+9JLz77krobUm6/+RZwD59zG87vy7hJ3QeFZw+FDCbj
-91nCG3oXNQQGoWbMdPDIVfy9rimXtlru3QEYft5u14F53Je+GPwiJ/Fo59xc
-atkElXBfmrucujF+dxhmCHBoPmGfR7oOYWu+bBM6Ap0cTL0aM/H7r+yTQbvo
-7w3CK8yZhYvf8D44L3C1M/H7MFwUDyiGzVNIv0d6+hOZpDpgokKX3YesEcRj
-Z0Zuk2d3wWq2vjCPFQLSS7sndPDf6TPd2koP5ld0I15Udal3hbkIesyxH8/c
-3444QWBb8vbLGnhaVWc8/Uwv4hf2dY6GaKfC8bwuw7qwRsQlEq4/1GWC4KXL
-rfp1t0DETVSzCofdqgB/romatGsq+J8fnOkQ1rGqAfu/M3HNXvyOdGrHZZgY
-79kB5D+QBxwTaEd85rKLQlJWFzC98bml4BE+h96mG/0RkzoIaijs917zGUO8
-z8PFvuj9MHj4I+3Jthl+by5O8vdwQcMIYEwlJ9Pkwv1tTgmLabzgMLjNusAm
-r4rPiWl3Ap4udfQDjpexnUvauC8FhrW/BFN7gfcjX/tUOtxnyvvwbY1mtgFi
-iZruvlLcZ+b6n9nLHdQJaHSZVNuu4H5V50Mt8XFFF9D9JhzPHInvmYdvmO/u
-omgAabZP+1x5sQ+sbogRR6bbgK+ftZ5LJfaBKp3z+lawASycpEoUFsK6HqzU
-yXh1uwKEykn90s3BXGw75PWHvVVAVGTBKakcc9esUFUSgUpYKltFoHTGPqB1
-2pOOr6kSRn+LDmt3x3r3ZW8p7V9ohFOUZxwvHcf8T/xwgkNIE3ziBbQ5z6wg
-Xa9wz+Y+De+AN+H39d0H8H6aqBzLnLZzTqTT+u7JX4P9YUH4+wT12R7YV9oj
-O2mE/cHVTs9XKaITVodZ7ks79s/3/ysdS90W7ZCUpJ/+Sx32hzcLPp8/3uqH
-ti80dQ/UYX/IHT6ufJ+3F+7TeUFG7onfl1092TO31jsIfz+/9YmOA3/fYr92
-jefljg+MMRI6OMawbwRmSr9LujkMD95V77vWjn3jze/x61/XhyDb53tq7ZeI
-yB/cuf+kxDkOw4kvHipHBfC9Wdmt9wTl9WGoVhE/F8eF7719KdxJtJ1HYHH8
-T9u57/g+bWpT/dr1JyPQJ99YgoRmDvUDv0Ka3ogTB2Ge5YBbYA/un51eBD8/
-yDkMhYnUYR/UJpFvFPpRSy837PQVtgR28iXcP6vcU9atfd0PrcVO/6LjxH3F
-zELi+W/TvTBiTcn/lOkY0rsg77tbdPebYP25iI93zAcQJ4niuzt8phWSk/k+
-T6Qexv0AWDG7MNoECKRxER15xcgftn54VXOcaQVThZqg63kF8gER081fQUd6
-AavCZ1WKhG60X0fztsxSXR8Cwe/EjpBmjKB4fo7ktVLmfrB59SF1l3Yv4rD6
-Q6nMfC9IML9dq6Tbg/LwyVvSje0ZBgUrFEE8myPIT0o5vokkShLAREpkfE3Q
-BOK7yK4WP+YmAJbfU60rrvg+qpXgpxInNgzoqdioItXmUT9QJyz96+alEXCz
-o5E8yQyfo9eiOoY+MAwDra5H/Ln2iyiPUplPl7jGCGjn3NO+PIV96aTs9/AC
-j0HQ+pU/p9gP318F+94oSOkeBqUHyiYr2vDf9VjIAo8gin5wIULrfLrAEsoD
-bE6QW5QPAe3z8s4dqfjensVSTop9vRvM78rh/ZGP7+3feNd22Z4dACePFaxe
-kv/nHj76IfdDtnZwnY68OaUW+5uB78k4mv29wJJCuXf/P98DPG+c0VP70Ah6
-g+qZY8Sxv33pUKcyVWwHA5ShvoGN2N/umGfS3lRvAsVKu60NL2O/snpjNWfi
-Vgk+210+OFOM+e8LPp19o1Xg82Q6c2ot5trafckkmlVQ1k2edJc39jexeWY3
-z+EqaFhvm57gi31MwGnP4hB7MzxlyDxI4MM8rU9xu9GyGao+dUh2FsL+9uDW
-hQcJ77rg1R7GQ9sXsC9dqusOoAlphzf9XzUvNeD7sVOpHYd2+3RDC/3I0zRX
-cLyMwSNm/e87/U/+fARDM/ZDb9KohnqWPljoqRrkEIb7Gcpg4snLQoNQ4A7h
-VcYG9revLVIGf1b6oFFy7fHsJOxvX5/5TSo/HYZDDWWc51Wwvz0zMkwj/hyE
-synz3n0US8iXdFZ7H228GIHHHGTEm1UXUZ57a6zmFcXDULqCUPTxMfa3T+8P
-/E5kJEAaS8mvF7ewvxlF8E8dLBuB7iJHYzccF/H/hRhyCeFVIMBNUXlXBj/8
-9x039O2PMFsTYEpmxkkv3gXUR/Hx7rP5vDEClR7eVNVanEF5PvtzuHO1E2C8
-qPQ1jw78HnCoMyrP8CgBHtg1efJq1TTK87osc3iumgDrgqx/Lz6bRfGZ3vem
-X8kS4KeUGzErQ/j8pSL2eE8O5QjUmm6Jf0KF+zFCt3TNxPQA/LO/L9Uvfxz5
-25jQe6tPR9uhcheV8DdKfM5K/P4kwtGvEy4Z0fgwiOE+zS8j+Arjs3Yw96RU
-3W+zBvmh2rtYxni/TmAeO7iueaQR+VjS10QlhYkBICZpxNw+14d8zK7okLwX
-5QjQEJF4slWAvxPoY1RUK71CAJ4Gf93fv59AfZFvE9PY2ORO/E2yJE8B/D7R
-kZBUuHKJAOpXpPeHb86ieJ/Qq5EzNQRAN5jF+iwd91Enr3Gcek9GAJNUP/y2
-xBZQnuE7PH8utBNAesiF68Sr+D6Q9stqgJnWCGgdLJDqIyOiPM8Ne87+sCKA
-a96nZ0cM8T3h0zs3nnx8OAyiaXR8Wyuw7zUbdh79VjoCbjAYf9VlxX0aBweb
-ePOxQWAil3fjjw72vSHtpgtJxcMg2E+M6kE39r0FigrPSKo+ILr00Of9BPY9
-Vam6rIa1QdCo6GhCY4H/zqXX1dCexK8LmF+9/NVIFd+TENaLpC46twO+i6rF
-Aq3YDy2FLR/cX+sDptc+d9T+83cuazs9ngttM8h8bul+8MYKyv9dzObsef9u
-oDh5dKPpGc7fa5+8Wv+tHYy/Y5p534F9kuA9aFBi0QwCXdxoghX/Od9JGBtZ
-2VSBpI+lL8aqVgCLZdbaQe9ESOLs/7zpw7ikaLLgUvmiE6hq9P3rL+oB/ueC
-Crf7WsdHoAn1b6qnrgGIa98Ie9hNFwTqto//+GiL86R5055jeOUEytqTnweY
-26B4g3fvdd0y+8FXuqcZs/dx/NRkSlLcPmdwfZyZ4SIvLYrvnLKO5n7UB1xi
-XDY2RHE8h3NmnmKBIxii5ek+NWyIeOjCcUdloU4QxBwetE2K44ul/uRUczoD
-w0Z1LvfOBMxFpNfPOziAU5Fvvz4X9UE8fnRgpv5CGzBWzw9VCMLxxomcMeE3
-nYFIi5ymxB3Mh2fCG1KK7YDSW65iu7gQxPtvU6geut4Cgl4aZndvf8F5/P2u
-Ubo4g+M6h15wfMPc+c6MuvbOej2OU5wNl8M88pa7dFi1MyCjGfrIOxOPOMmz
-7OsPXS2BNbX+2QhLzDn8bUlDj7uA+PXIJL29mBf/Kgr3aDIFu//oPe1xjsOc
-4UGyWJgLaNv4FAr/xuL5NMD+ZPMXYELuU5DiM8yHGaIiiWddgeli8UPxzhg8
-n5QPdGHnH4EOa823JBf+4cWvSCtHXcFjRtuPrX7RmP/YXbCgKA4ucoRemeuN
-wuMy7/9MUesGirdar1vzfcPxpwbvFD72gkNpex3Mu5MRl7LY1S3vHgBTSgaM
-+DjTMWfTnZZtcYYaHNUWDu9wPaxWXFrZPe8Ezg1JLzscx+OSvDDxMBhRg8Z8
-FMRT7d8x9w1f/XbkBezd+JpUKJeDuYNc9LiiMcikJHU5qBOJ56+2dFtl1h2Y
-Kp6T0Bf8jPlucrNoWhOYpprpKS2Sh9e/TLOn5aEh0LkR/5BCFXNnEKG1IGUM
-plVtqScCw/G4Jw79OvvAE1CcZ+Wras/FfImTLpDhGeAvXOW8nfrPPKcEYgw2
-NEEq55GfLEc+4Pzz1qDk3CsQ96BIb1n2PeYvjAyUf3pCA+c3W7a7s3EeUd4Y
-n+/nIG/C32LTZ5mYN99t22wwBuMy35NKH4fi37V1uqfwtQ/giLRfj3sajJ9L
-eYbq/MdASJmozEXfh5+X8wfxrwZZJiCZtahZ8k0qzt8yMsTuaQYskzQd+wzf
-4jyNcVyC6X6gknxM2EIuEI/bee/WPrV3ME4tR/BXGH7u1LMuR1s9TEFsuRyo
-MPDF44Z7WZZtBwKS2MH719u8cJ13C4p+uh4JbbUcBRbT8box2c6elrRphqbX
-FZbjTN0Q1/4bcOUnfTDo/XtklyiVA+LEs9/V2Jbj4WKULvmXbDx/4EDm8Ea9
-FRZepbrjvWyG50PGE1JX+R4UVvLqenzWwesg/etlX3Ya1FYjHbEx75f8n/Of
-E3DV04gEddVpY4R7T5B/Bh406jTkz4c69no3asktEOfXuWse+zwBfDTnkojb
-Z4I4GfmlqwyJQxAWLcfY8bog/l5H4gKPQjU8XJCrddoX7wtK+dQFVe9ygVJo
-2uUL0h8Qd5ahi79PCATkXOeLBU+EIn5TwOHBx7UJsKy5MG+djvN8bQrlYooc
-BS/Tj9u/VvFEfDqb+r6u7gRIe/1T+LdzFn6+s4cv//E3BtsGrdQqU//UJ3d+
-h5uIIsjcSNllGPSPLhSrelN3ds09aXpm/N7/6OuStY/LZWOgPR45NmmNeWQI
-+aNTDkYgtCDOj43sn3iXs6kvdvKsNAoNWCn/k/89i8tu18eAWl4gZ30b687Z
-MfA4q6wxYGt81FVkiefpPPm2h/OJMXi+UuZU9vsfHdXq5S1dVofmzReenbiA
-/ce5vfK+/TkT8FYpmTHudQbmHKRZaiOW0J9Tq6C5uQDnAYKe12ltoXBDAXdZ
-/Q8c/7Rd7oiuMWBPuNYlrpOGuTHovGVlChJEf+3a4Cn5Zz09iXqKSkDNhjn1
-WRheh98u55xLZIzBka47ZzslSnEeWYVlksonYNZ88J7dkSSc56NlhMCWOagu
-u//tBUsZ7hO0rCWHw01Awbk+Tb7pf/Lom4bvfmwMfCsrFEJfYl78XHxLqtoE
-UCvakbRZ/zPPZsGIaAUT8K2Pb/WtSzHmr9hYJ2qF4B8H8DmisBD7xj21miN8
-xpD3ivenH//8Lp/K87b6hJdAKJBk0P+bKapD8fE9YvTrozA63fivLEcw4rZH
-u37Z1w9B7vg9EWc9Q3Bf9LMl9sFQAnixNq64cSAa8bU9V05eKGwG6eO13Ptt
-IJ7nTSh55ZA2TLa6Z7i1jX+XM9XGkTl/E7DW1hP/oRyvwzA9M1/BuglgodIv
-nuLG63lK+SUV5XlTcIKexopqN+bFcvJuZ1lNQd5J6trbn3EeqcikUYU9hiAi
-qcsgt+Sf9XybLndqXBvYxj0nZej5Zz3NxTaOUJmAy7dNrUs4MC/++oyOvsYY
-nG2STsz+XITjw071uO7oNKS4zETgAp4Pibhnli21GZB/dvLlXpcKnGfKY892
-ojlw/bW8Kfq7HMfLsJLsor8LaYj0YlT/5FH6XXrQQcQUiFwwuZ9QnY/jC861
-jysZA7I3L25XylXh3+tZEfy32wJEMFTm1gjX4HEh3RlCgAVwkeE6aGKNuVQS
-+wOtGUugThc/LN9ejddfJvqVio0ZUBH+dYaEBHOSRlneH2qWoCP8sKr9Mzx/
-qZOnJHrIzMH+2NxlYxFcJ8xD9wPNf49CU6rYEwVckYiTnL5o/Is3Foh1rA33
-vf+CeKatlrpGZx24b9Dk9EcJjysVW6ywK8QY1B2bkHX6Z32klkqPjxwxA2bp
-dXknyPDvGs72l3Q+ZgV6hTQdRL3/4Vco9p73tgJBv5TM6VQxN+bLP7H5yAr0
-2X68ZRGExy0mE/BjrbEEMqUElvYUvM4k7FvfHEKfgtv0UbDKshLPJ7+Y8to1
-C5Ahd8zp5y7MSZ5VC29JSQE1ybojdgz1//RXM06cP2yBiHpveEYU5s7lDtvA
-4BlIDCkJkQ3D8+RfzvgSG2wFGB1MllbfNeBxA9UOM2qagntDDGxMX5twn8zR
-MWic5wBiY7gUbDsxN04Olqi56gAYLras3MltxOuTcrFHa8IeXLyrHLiLBHOS
-H4vngZw9MFILtn/oWoc5j0vLKSF1oK/cnK04FYGeo/oyw++r7wnQUU7Rxts9
-DvFhe3OO0qxoEFDqw0vLkIp4whwX2+yxasBxxGBGngLPk+SrNwtvoA3QWrAR
-vfQBrwNJBuef9VZrYLyqMeE1i+Nz7yZpLCw4gO1Hp9YM3DEv7l4l1jfbAc3T
-WlZp1/5Zn84TjPPaDqDGaaX/5GP8e4tn2tuAqSUI1Vu9kXcUrzOJZQMx6I0d
-0Hnzfs+1kVocz966mdBoA2Y7LCg6rVtwvxRCNyjR6gzOWZGK+JZgLvX79JtP
-itbg3uibStdtPB8puehPMVsOgK92bCpJohXXg9enE2ER9oBsbf/bWe42/BxP
-Zi6zX3YFU2pn5A/sxtxag+SnNKcrcPykJ3XqM84jRdk/KDftBKrrqmNqefB8
-ih3/Nq72moJJlsF+g/Ek3F9Fa1lTC0WD8TGPX59l0hF/5VvF/tO9Aki4UWqQ
-TuP8/OSkgO6EC/DdxTgSRtL8T19dJf5Q3gnUNWXslWHB85TaZ19rPeMCOJwd
-3MPLcZ5iw8pzMvMuIHNAUCTsJeYcViQp92JcQI44s94ukn9+18KeyhZZFyA9
-vfcEUw8e11lUUNzwljMQPX5A6aYgHpdEzZFXYdkV9JHmL+8i6cDj3gyn0FV2
-BxRd9nGlVzHXjuojiVV2AXTv9uSPCOA8KmTx113kXMGEzstinXEcH0n6mISJ
-ygOcu3D1OL1qJ+IJwaupQk88QN35oF+dNJgbS5jJMEq7Axhl9oTcBedpJlxa
-PZDvDgSnlLUVddrx73oeTTrW7AYM5SltmdyzcF866kxkux0Nnj3f5XGKKw3x
-yLM2Rt5M0UCzxuF4/eZ3xHNbDgrNBpeBMnpVlaAL+Hdx8CQRxMddAZO+WviN
-G3ie7+WuHmLd7wGU9tNs0/JgLsUuv5Uv6wG+VLjfTMrD81e6fT+Wk8wNfMpJ
-Lzia88/8izqEF844ghPja4evG+A8HBEUdgqMnuAwiWbjufZu/LwuWVQ4tnmA
-i786EuhVexBXpV1TvMbyCiwJ76rbrf/PembdSLpj4gF8eLQDrIJwHo4LXPKS
-AV7guL7h14veOM/q73sUTyVegS7mOzSJwphrzya8zTjoBQKyBgd6lXAeZwru
-zE0mdyBZMkQIFMxF6ynllrKh5B0NBMoLeD63ZeD97m7fUMypaJBgmE6rn5aN
-OH+VVOJ9plJwQ6BtWP7JP+uZ4gKjKDyBzKREqpI1nk/36V/f6Ea8wL6ls6sn
-yTAPtHKTbRv2AmYfh613k+B5Su3X/eN43Au8kxR4tqLWh33+K8OHV26eIIbZ
-mUXtI84zvE9QrKr/FRAffcA5z92Pn+OuA4RUBR9QSF14+3gYjj91zeyE8tVX
-4KD5e0u7hzjemWWd9KONN2CSPHJBJx/z+oeDUUORPqDibmnstwU8H6kRjYBD
-l16Br11Xf+0mwZzj/WLI00hvkEg9wkg1no/WrbhlRP5LdTRgi+JSm9PLQ3xK
-YlzZeboYVJT/2q/6BY9LtJTm+XDFBwhNssofcsP8urOyhpmrD6A9m5A+EYfH
-Lc6gad2z1wfsvxF8K+PaEOK0iwF+Dy76AiPmrtKhJpynmaY57sOl1+Dt+OkE
-rU4cz5/Kq/ua3ReUpG6duVqP42Unu7XtE32AC83Ud+9ZHO+suqGoauMLMpKt
-55m/Yk68fZpaTccXFD5vyBKgwLwYPuCqP+UDtC3HBjxCCrHexVda/lDHAJtO
-vchU5h+IG8/mH5yfgSBuespHq/Gf5+U/9uvahdcgMbaWScEd549sa0+kU38N
-fufNN93NHcTjPnx4dXTrNVggu04bsXsY8bSNGT8pWj9gu+8Wv/0uzJtlf/IA
-cj+QIDX7XtV/BPFbDhRHFL/6gUt2VhIG23jcYY4WIwsnXxC4oJr93RXHR6oq
-W1vf9wPqFTYVfi8w185zMKiN9gO9gct54oKYE6fjBXn9/EDblstrEq5irFPZ
-4ThTlRjAytVlEngXx9Oupf3YH+kLlIjCmkKfMOevtNoYFvYHdW5ebns/Ym4M
-JzPp+PzBGkf9vTnuUcSnPksfWzvjD/pm9ktcCcPxBm1XRj6l+YEYjtk/MhGY
-v89QWD4j4Q/4mL4liLDgPK8onOwSu/1A57v9KpJ2Jbj+o9bUBsJjQO11wmFF
-iH8Xv7NZnBxlIWg8zk5PsxvnOaXDui69M8+ZafcvBeljiFeXh6zZBPqBKq92
-emeI+fuNFL7gfj9QbTHytFMA58mVOLFNdcofLLkUZ02LYP7e/ZoSaaI/IMma
-0Qp8h/PkruoF3Pq5k7/NBdi3leL6HFbRtpmKAUrJwT7uzJhrnzn8VH+xAFxp
-nv/VcK4ZdlNPPLKZyIDzgxW0d/bPwfqeqETHM3WIP2m232cmOg+L6rtGzX82
-If6Ufb2WgW8O6u+98zNBBecZZ/+YKvpnFk5M6IBHE62Ip58z4KzPm4HFl46M
-dae3Ie6qQ97LIzUD32zfP+qZ2YE4ZVT6NIv0NHxYmxbtldyJ+D0uot+d+Cl4
-s8JXbcGiG3HdS+QqViWT8GzGvpEvhj2IHw9SpxfnmISvQczWX7E+xN9bHbRN
-Fp2AK28Sbl2i70fcWL4lT/3LODRszFSSoRtE/Lvhs/iHcWOwSTBW7cetIcTV
-Xw1SKC6Owgzh84d/1A0j/ri/kfxKHgEGFdxt9WnBz0s7Wkli7IY/GOZkI6o2
-YZ4Wbm7gcNUf8L8/GfukHnNi2aWN5VY/IBXXL6Dbhbl7xmcPkmv+gNk0+5bf
-wDAsrug/0DaZAXTci0WKvUcB6fHY9YTeIcTFKoeHztmOgYGv/ElCowOIky7m
-iHx5Nw5SDg0KUE73IU7Fv+590G8CTCkUkLzbj3nQlYU+O5ZJUPk25gz35R7E
-SWSDz7f+nARfnkZ2tuycF/7nOfRtnvc+zAH3gm1WmpvdiD+c1d+gC5wCb8bf
-5Vx26ER8eFzFMNBgGgyFKzHHO7Yhrqm7v8prdgaMMtwWCM9tRfzJbmXNBrVZ
-4BAHZL8yNyN+sue5UJzvHKhNdBRMDMbzcRb+fIM0ew7YqXBfyz9bjs9NlPaZ
-JRdigcfblv53JmWIp7Elz4ht5YMXGkLaF1ly0POdfP6t4ZMAEZ7qfxXTf6oF
-cTadVgVF21mYsrBpSC5RjjjLdcMfchkLUPTesx+/W9sRL9YIMBr7Pg3ZbK6e
-ZclqQLySgSfiW+QcZG/807n4rB7xIXFKssK1OcjMxdymOtyFuJU+M+UxmilI
-vXbvA+N9rLs266DNmeUZyEea5mRMh7kE/7Fv+1lmoQjlC0pur17EPbmlAwxD
-J6DP/r4Sw+tYj3PK6d1dptNQVbfWsnMd60VmuDIjXHQc2pp8GP12EuvxF5Pk
-l4bxSXjT+/Uq/SbWy/01VYE3XqMwUdpnY7oDj6slmVR3/MkE5BTY6J2bwzri
-o3870fOGANlMjLPLnw0gTsKeMjawNAYfQhGBXqMRxHmD7lYrMhLg5sCM4r4Z
-zA/9NZiceTsCn0zS6/iTjCLObeFtLmE1DL/liemrHRtD3GJoll96ZBB6fr5+
-79TzCbx/9cmyvd3vB351KUxtPMY8ZY/YS56dfW2050oSmwnmaUp7tK7s8wMf
-Xr+9cyYP6zTY5CoHX+YoECnnN6I4OYa4iDch5dj9YfBmL4OP1EmsXwc2frFO
-whhgretPW1MYRZx6mfZDH+0IKBJb295u7kc8QGOxmnBsArw9sl1W6kxAfIOn
-qOpO7wi4PXbZgmNn3ZCOvtTYfdg1CsRoF9hDH/Yi/jepXd/JdBJ4aFxtqE3v
-QvwiM69PQe8UUB57sukmjf2Ernuh8NfgOAgTv3yw9UM74kJ1me9pn8+Ac/um
-ze2Scf6lezm/qq5MAuojq7qjy1i/onyKWeo0c0CvL5+kfhOPG5YnyZORMQXY
-0zSvsybVIt7i+can49s84KBK/HWOqQNxxlf5u23PzICRs0si+t0tiLfliB/T
-zJ0FGePL9EK9dYgPuFp6zVrOgyL1Swf6v5QhPmlimGhCvQhOjvTc0XEpR/yn
-0y62+ekFMEb9oTw3Kgtxe6X4gTElItBnG3+84VaBz4+PrsqrOsWCEzlpqQG1
-2H/464h3FnjzgVlGSMR6ag2qQ7n4bq19sfNQe8ZbufFPPuK1fxwK6tcXoTRP
-1wfVfbmIj1AxKL85TYRim6t8ZA7ViMec/+Ob0D8Pk/9UMzeoV2KfCS/POHJx
-AUa9ab7c7EdA/HqW94jdzr7iXMwe7a6B9aLXcaWnh34YXveyeSYkhPWyZmyv
-y7PTvx4S0S0qvTiOuPOu5oCv4/3QqPpMuOPDCeyHsUkJX2n6YOxdY0Gf7Ul8
-3vyelbfm5ANci9INWimnED/yWLiDp9cHGHPW0xccwHoZ9lA2cTIeBow+x2my
-FnCd35px8x2xHgFi8pkDUjt6/J8rS2QLEVP7gX07XVhQN67/ieTIU7uDCMDP
-RSJXOGYc1zMLY5Dw3ABwyj5P7fwUj6swGyXNdHwYLJG6CvwZx/yYsGTKyRtD
-YKaD9s0FTrxP2T/ViIx+Mwu4T8/+MhFtQNztSWu4Auc8oLYoY3wkU4O495u6
-Gu0DC6BD9iIREqoQz7Wokv5wYwFUPvtoz1VXgfdxIv8Lhk8LgPxozPWbfnmI
-n9VR+1x6hAh86y2UUg2yEZ9jrigmu0kERhyt74T7K/85X39i3aiNBZ/oEreN
-uTCnPW2W6maXB64sje2izCxFz3Hp49s0KfZFWFK8/xp3qT+uB7KQRt9tIvT1
-zL0lYg0RD5L7li33ZhF63HQ3LcktRPyh1lIPc9kifOXc35C4hOuqqNGyTe3+
-ABSopIge/obrimWTo1l/Tz8sf3DNfs0R11WUxCUuubZeuCgzK8XegPkPlY2Z
-SbNeqESbf5rWeRLxxdc/p81v7/Qxd5ZOc6dO4X6PvW50qqALsoexerGGTaM6
-PC7sRJ6h6wUobkl6u8ZifkSW+yV9uhd49V0myu8mrrdz/BTZWmv9YFmpt+7A
-aVxX56iU+I8MDoJMrueHb2ZNIZ5mKdraLd4Deipo+gwnJxFn7ryceuZmL3hg
-o890ox7nf2KXf2FGuB+wTZ7vdufD8QTtAyvWdn3g5t3g9psXSxGPDr9dKPV8
-ERBGSIpGZasR/2Urr6MsuAAkf5Ts/01fhLh76uPozJ5F4GdQ4RN09gfiZ3ru
-q1KSEUG+VG+PuWA17qMaWR1eHIoDBhxd34B9FeLNWZe25YdywcZN7kVF9iy8
-72trnaNUIcJSr+zpx4mhiHPaRv55skCERzoFj49cw/VGaabHOMu7COVON773
-48Ycfr6b1SK0CPl0oWzCRfx8I2z2MxSn9sDeT3VhwyuY36LOymAK6Ib3Hu6L
-4yzDzz1A01zk/ocuWML17pEVEXNq6Yjfk0ZdUM4zT9y7cxr77USEpKhwJ7xl
-JziUIjCL6qF8ciIWXnIDfOtso7ySmLtnhpIoOLqB/fLvb9wNw8+9sNfIb/Rp
-Dwja+1XytyF+jh8Tet9d5eoDW1GTeQe5Z3A/cFfj1YFjXeDovuOOsc+mEb8w
-vmiYerob1Dk/5Xy0+R3vX4WSskefE0GlHk9C76cSxF/IHLcIdFoEf0yf6Lx7
-jrl577nUlVeLQJi+869P8WfEyVhWZQ50EAFB0yWM2O+B+CKTJKPpgSWQ5h5M
-1/POGfzP5fKy9hWCJaAU5GArFe2KOLNDb7LL5SVwzur16e++Nbh+jnL0vX4U
-B4ZnZCu22nFdGZclPP14LxfMfqPRGaUtBv+vf18Laet5jmXo03zJ6FaUNeJz
-k7deU19cgiNelQ2LdrHoef18t5h0J48IbQ4MkczsNkC81y0j/eeJJWi0Mep5
-SskZ5SE+obeokVyCYqOpa5KiXfBgAVdD00Qp5D1frsKtPQ9r8h0+mDP1I04J
-7q+f8puFPifjyzstcJ3UZHDbng/vhFIk1S97BWYQJzvzicU5owN+FiXffrp7
-FvukWLJn2lI7FLKLKbi+gOPfut/TcaPpgI6rJMZWqTieuyVb1P3gTnwXn5Dy
-lTl8LmY/oUnyvg0+utgvLlk/h+pQlLG8OHu3PWigcuXxKcP1s6a5r4+tsAuY
-GT49rmIwh7g1mQK9pVY7OMTRuZoXNYv4zX3yw4KSHYDtw1kq1UVcn+qWoW57
-FTqBXVKehdUG5l/sDD/NSnaCILK3zyQa+qAn0+cY+8lS0Guv+GDUcg4Enk5e
-hSOdiFd4JB92O7sAKhpchLspvqE8hmaVUuKBRJA7O7/n2z0PVFfv3oooT19Z
-AsejB2/R3v6AOOEb1/UMgyUwfFF/ZCMbIu63+e3sDdFloG847740Vov7NNkX
-goIpceC3fsuXNB7M02Ze6FsM5oDF8JO7Pl0pQXUyStNaDHiXYeSwzsw6+zvE
-n996bsWtuQSPxM/Maiako+fyQNDjVrUpEQrvjyvrC/uE4of3JVo/f7YE70op
-vxASrkN1FfbooNR+KSI0lj8esknfhvjMer9FS9kCLPXjOto82Yo4nevt5act
-C3A91pnyRHU34jeXaB094BwsITX7CK/jet5kmPrgpDYPSXP+VlB5DSAuKUR1
-ReL3DEwSUIg7/B7X+dE3tsld2rNQ0TVd9KDjCOKH7nKXK65OwcmmzpRZj2HE
-ZVvJf0snTsORXt4DFA9GEVfcmOQ95zAJWXOixWg9CIibKvgZczFNQU7FFH3t
-LBwfe7jRYElkErLxEiMXy8YRd79wk9syfBye7+4n1RGcQFwtmu6R/k4/2h+l
-f/jI4iQeV9SMjeLPKBStE39rR4d1dEq9wOo7oR2af2ZWXLbAOqLLTgwY1GqD
-bnzxQ5v884h3sr6QNE5rhTx1jl1nmnB8dMnskU9n2iDtDbdcR5MFfL+657Tn
-gxNGYH/yo09NjzGnDVlVJvN5CQ5wutI18GPdpY1uJPokt4Ngm+Vk6W2so8fm
-zB69wp3AvitqumJgHvH5/hCek8mt4P3fpsiSRpynemx31CxFO9D03B6+zI3j
-mSvbz694tYHdtkCUrm4S6Y4zf+UZ/9wYEI0VSDzNNIE4Wei5xRHhCcDPIdjQ
-OTGGuKS/2FgD3yQIEdJjfnYV89gskrmG2J3z4945SR2JUcSnQoXX29ymANND
-c7P8xwTEqzZHDpccnQbPxQ+qx2mMIK4io0l+69c06FR7Cwp0hxH/q2l9iSFx
-Bty6z93rJjmA+GjVH90rc7Og8VjQiyc3+hGnUXLq6VKYAx4OIgR2827ED97S
-dtcImQcDOy0H3QT2H4oc33unziwA/4+OB1ISWxFfJX0pzmyyCMxeHtoX5YW5
-tAZRw8R2EdBy/f774KoB8plyVx7HnxeWAIPraV7ZY58RDzO3mxM0XwL76h+/
-HX6NfSnwaKG+gvAyaL8p3/CjOA5xHtLmzi/+S+BTaPag59ESxFfj+LZKry+D
-kycfz/Bdqsf3wAspndfX4oBL0L5r9z3r8P12ZcdBc/MccIKXjU/KrxT5j3xX
-2OvNS8tQgMms/zFbNOIhX+IoXGyXYK1XbECRKt5/j33nP9p1YhkuCJ4e/OGU
-gHjbjTNZGsFLkHb0wtNYTuwzhzsLU3WfzkOLOxaJN50aEN8lNq/kSk6E787U
-zxhfwb5H8lShYEuSCMk/s+v0afQhXuGd46gxMgudXl553cDfjviEY5QSvL0A
-K7stjJ+8GELciF4DeKrOQG6FZdrHr3oR31p22ks8PgePs7YosFJhvlYvlfdT
-ZQ4+9jgVUJ+J/a2YlMxSo24K3iYRLpw6hvPvE6Q4ecd4BhqFGGvl/hlE/McN
-o8GrTjMwtWYl68Au7FfnP5a94eSdgJcCn5eqh+H8oZYm/g6DU/CmSnnEX3/s
-Y3ekfxU++D0GffeTa3xxxX54dMxv7oj6JLTgNDhURDuF13OukiF+ZBQujZ8w
-5FbG4/acjz9QNDsOL20LS1vTYz8crz3AZ+o3Bk2CTOXIOnCe7slHDiTSo3By
-O2HE5/IM4nfJJdLNVAiw+cwJ6/aCBeR7okuNky/cW+DmIrmhUzzmgjzwgUb4
-Dj+TH1Ojv4jjy6NB+2AzFHQqcJlmIeJzXHHQEfKXzdDuhljAG1Iifk+twvtM
-aJAJPD8oTPJoexHz7mNqFD2kQMPVg+aJEfa38SAevvuSbWDX74vztfRExMOr
-4xbcnjQDP+9zjWNqi4jLyMyy7TnSAhinzzt+/LKAz/VPwlf097aC6Gz3gKMZ
-mMvtvcHB/7MFiBpmftrZy5APQLOK+LjKMfC992gsuSX2T59Th+uHlsZBLdD6
-YsU6g/jRxHs93uyjwPYl4NTLnULcxdKIWfXoGKiBhyh5o8cRJ0b7GKVHToBT
-RaOAZh3ndwKGb864jgO5NIeE7GDsnytnXS9aNU8DwuOAK1cFcZ7OA8cobBYm
-AIf33U8JZ4cQz3+R85JGaRbwfq8PcNHDvs30SOCYhO4UMGckKWJmwf3b2FXo
-zlk2B4bH34A6azxuFlUZ0WV0Gtz+s9B7vB/7arz23uF8ngUgrDR641bfIOLt
-cOuXscEsOMFqWVmXgTn/14aACatZILCH/aiiSC/iPOKmfyNJ50G/4aEDK996
-ENcdm+yIFpoHf8cN0lNb2xC/WnvGO4t0EQy5bNaERNQj/pOknENKjghEZod9
-uCoSka+G62UYbEUugZ7WmyUzhGLEz05ano6QWQZBkdujbc+/In7MULHseOYS
-iHj4+VanRSniAufU+R6oL4Puy5GqL0MakA9zEEK600A8cN0+Krw6iH3b2aaw
-IPxQDuCPemrhN16GfHVvi/DFaYVlSH1xLFHF7Svi7cZUyy4pS5Cz/UGRRxru
-S79dGD3HKrwMDWTi7pbfTUfcKKkWRvxYgl9Vfl8ODsV94zmWQ9OfVhZgPU3G
-tTP02Ic/PZjd+ihDhAJUVw+zRUPEPbw89gxSLMFeFTNfTvJmxB2ylzLV4hch
-wx25wON+jYj/kdQe15lbhPZp4rO3raYRvzBx/qpSLwG+Xl4ePziAfeaD7H3H
-pfEROJ1uPzrwA8dT7H8zXBhLgNyqy7vfvZ/FfXJJzOVJkxGYNjXwZKFjDp/L
-zMWeNiYOQyrLyDcijdiXKE2rxgusWuBAmr6cNSX2nxfU00lBr5qh9vijiVxz
-zGHrzZS77U1w76PjQi+EMbdpLDNW12yGLwNNL9jUY7+S+s7VXKRpAv2LRIPG
-t7DP0IQAqRchzeCw8M0TnAXYT36r9FwHcy2Auelhj0ET9ivOhtxjVlMNO3sY
-md6WEObR5wccgyWawR3HVhp+I8zVKC1Z36k0gYfMFbfpKrHPcI0/nPn9jgBO
-a2dpZWhPI64x1PSANXEUeCoMvZJNmkN86IhbxzOREWDBsDWmuLPO//OQX2VE
-mV0E8OvusTe/I3Get6wqvtOmo4Br7aOg1g3cF338HvdK7+0iAB+N2xyudiAu
-02ht0hS6ALbeMCtXCTYhbifcn8bISgTZu+f3nAtrQNymQ5HFXIII3PwyNfaY
-FSKuLNZhTH9+CewmUpfuUcCcepOvhk5gCVjybd5h/pWO9NhxvrNapn4J7KX2
-K3Y4hHXK2X7/d8idZRBtt7uJJjsL8Ry16VL12SWQULxroG6wDPEaZjsBO6Nl
-kO3j0Zgy34jvMVY/0d57FQ9OmrsXvxLBXOqV/IxCWTYQFgm6+/FWBdJjR8z8
-pTTtZdg/T1fQ8yAL8YZkjUm9viX4RMRlsY/+B+JXToeCUOplGE1FOyB3GPtD
-vuhT3rhry9D6bcO+gSfZiCc0CjmKjy7BnQY7+q15C9LF/Sre8WrJRTh47Hx9
-9xHML+p/eT2nsQibuscF67+MwlwjlWkdtXrYmHlDLXnnnN9/9MX0QwmsLz09
-80tP94zAZcatNhA6j3hD3p5DLnzD8LSPoYVAxSLiSQXcd7z2DML3SuLkomlY
-RyLLdhMbT5vggUKBazaMS4gftvwsy1PQCE29901Jhy3h77KUrOS0c1xhR6nx
-+qs4XP/CMd4gP7oR7OUVaHu7k+d/btLJc9FTuAH83CYwFjvNozoZPFfj1xg6
-DHpSF+AgN65/ebc073tBI8CJQ6fM+u0ivq9Yr79v+mAQ3NNM3Wi3H4Xn6psg
-jXo9CLrFVdWzOQsuCq4LLVO0oHixZ0LTDL2LwJBlbvFAQjPiBLm9U3Qbi2B1
-t6HDBnsJ4tUln1Sf714CvCS9bMFUOaje+OTXaqjWlgDth0Zi9UNch2RtGlav
-Hi+Dz0kKQiIZBfjeIzz2sDTrMhi7tfhE+H4F4m9IPcUK3JfBzJfguJ+czbhu
-e1oeHm+OB5M0x38xBjbh7+uWSM1O2WQDnys5orXFlaiuGnXaCBRmyzA9+i53
-5IMCvB/9oFe32rcMv9WQjW0HliNe50DHTKe2DOkfSgVzBBfh/rYQyC7vPKfJ
-AoEAUDiC6m2vnISWMMMcJOO5XBFsNoa4/kd/Tv9HM3CkXUaiNGICcTO66ZT9
-DNOw6trIUJ885hk68eF/ZKeh930TF7ed/v1/XjxB/lcsb6d/Lg6IsY7DvMxw
-0T2naRLSfFyaM1xcQPNkd6p8cbFnEI6b5Wi2HCci/uqul4Cf6QCEmTb9yXcw
-D1rvXtLiGIBiGVGLQSu4nitvRL+qZm+AbMo5Mhc+43om+lvLhe/U843H9Acc
-9ZdRvFOJNFfsy3roejojnHKH/x+/URaSO0HlD8eav4E0JVznb4kJqYek6oGi
-FcPNNr5l/L6A8uv0e80aMHwp+CPfKo4nCQ8jWzxbC4rpD3SbHSaiOkzJdlb4
-aTUA9hdnPRTpXUB89hSn+Cm5IUAfTjq/eRvHV3Ze6Kmf6QcnXHliDZynkC6a
-n/4VaMuYArsT7z8StZ5A3E9x0kWaZgbwlJ+VO82NOdOzgJTdsjNgryLn36Ab
-Y4iLk9ccZnw+C2x+vu4ufIt1F2O4J7B7fhaYZlacp/UfQfzT13kZbrZ5EGav
-uPdOWT/iqWkeZ8qXF0DHp9MM7Lq1eF+bG6ZztCeCloamq9QjZXgftBsKm2gn
-gv1bJyQiXhQhHQE2R4Ic/zIoCrse23n4B+LpDc66OkeXQb3o4xi97HLE6y/v
-Z1+2XgZOV8rnJQYq8fk9c+lUxYdlkCdNmGBownp09s08ScH0Bdzl29RRMMec
-6H2ic5fIzj4SE8edLVWN9HU0IXmo2GMZhu8y3zPKiHVqV2R+j95wGeow2dVR
-n65C9ek4ZvxZ1JUIZ+Q4fZm3MAfda/IjJkR4kTxD/HVRF9IFx/rmc4tXi5DJ
-yHpU0QVznXubb/LeL8LliiAFBxe8X9wxvxGnRT0LOWT+3k++M4TjZwTvDKrM
-Q0orQ9q6zXHEQy/UuR52moZd3zM/UqcREH9HPWeW5zQLj9/0/tkHMJ/RI3/8
-tmYWeg1A/QkrrN9mrcdL1YuTsJeH8KH2Ns4v95y1OqJ3Gh7eJX2zmBRzsSna
-v/DADCQl6FT6m08ivs1v01HoMQVH2PgvqefMIP7QUGgi//UEDL0kxeedOY24
-Mg2FUATbJGTxn6cZsJxDvI2BZLDWfhxezQ0KKO2fRTyVJ8T2VvM4PKXBaLN1
-ZgHxkbHMgWmPMZh5RHpW6+884vWDwtevhY9BFd/6142N2GcaY/c6z3P1w01W
-td7GF0v4+VZtB5Ud64PSrKvyUpTYTxjsHqVfnq2HRt4zwd8jcLxD/9atlsZe
-qHlt9BlPHo73Y45SMF6ogxaKAnv2vMD+wyEhHqR62B+qV3rtzW/A8Wvddj33
-CDvnByZllTaBFRQfq9TexK4eAr2NpJ8Lp2Jfsq9XnAlMqQJSSq05PCSYf7C9
-eOLBZg24dSV/mq4B88oz3Y2ZalUg/LaSGkk59p/o7t2kt773AXbxJhEr5yXE
-93ppl7FO9wBHc3PjGzQLyAeke9640w2MAYp5vX2VvfOI94E30RNbY0BOMo/h
-liL2sUPzq7sGu6bAiFUaX4raHOLRApuy3BQToOXn8Wf782cR1yAN4pUymQDP
-ciSpOlrHEVcOcnyl6DwDBjjOHloLm0Fc3jbV0lx2Evw9Yfa9LnAa8VHpj9fK
-FiaB0jEN3csPsO8JnDhEfY9xDnS7P0wNVphEPHmarIrBZhqYlcQkdZ7G404N
-VnY8Hp4Bqt0jvDF92FdHhhYN5Q7NgqmRkyMPXAmIX5HPza7wmQMnNOYpf+7H
-XMwvmelNxxzIP+ZRd4p2EPFI5gDFDK+dfp7VU0b7XBfizsS0oh98RNCfsb2n
-lwTzP6l3wucEieB2wfVNzrkf6Hmll0gwkgkvgb9B4iFel7A/iyvnNJs7EgFt
-gduZ9LlKxF/fqG+cTCCCaqmSwRtHsa9GrNFffem3DF4mmi3JG1UjHqx0jl01
-fadf6tVb9edowd/h3PWsHPydBZqDCOdt4quQfwrtXggxdV6GuzTnffLUE5Be
-Srvcjz3/sASZHt0J+5vTj3R68ohdhtnJnXN0fndFDz32yRHdrIvXfizCJ5ti
-hL4/w4i3VvYe2Hg/B+VTRROVbXoRz9371bQRLkBh4XjZP6AH8UJOy5po2kX4
-22rR71grzgM5ulTgtzmY43HNOXcP5peUW7LJWOYh7BvfbUqG/afSJc3umOYE
-fG4Uymvchf3tmKHsgI7VBMwnP8TTPYt9zK1SkcThwjg0b9zLwrPTz//Pl6t3
-Z0/EjsKaQvt9bb+xj93gG6zwIBuDEl0tVO2O2Gf4hB6RC2/3wnHyuQj1ZCKK
-9y9qMVHqJECXtPruVG/MhenT1R6vEiDjX1urA6eXUR7xT4Uv1Cd7oMexwyr2
-JphbHOp5rO3XA3+o6bN6PVnB3wOr80vuO1gH9WuC40diMNfLvhlLv1EL75+s
-pvq0jf2qfelCTYLWJxhjlXinV30F+Y/pviCDi88rwIY+2YPgGMwFD55tUPxW
-DjwpXmn+YFvG52vu+fonqt3g7wazVLA59qXSystVH0l7wTuTNWZhExwfd0iX
-kj2qCxSt7v54yhv7krdInrrrpXFAd7lITy+CiPjdq/Zh8akE8DrFeMjaGvMn
-NQfjBvoJoHJ3+ZhxP/aZ97aFNQ+ZJ8EiuQhtZ/Ii4tlJmzxMxaPgoQpTklAv
-9snMF9rUV6+MgUKax/uu1GLf02X7fUY4Zxy01i6rsWbh/J/3elCcOj8Jtq0l
-2iXbhnE84eqX4bB5kKGfJ8WpjfuxB1qpEWZ0i2Bs9XUPiMDxS5PE+1WZ8yBZ
-789cQfQQ4goaKanPmBdAFpc559piD+KwLukl/5dF0DniKytd1o04rRU52575
-RXD8lY2J0LMWxEUpuXjD2ojgnUQz6cAV7DO7uEQfzToQAbVOxMbU00jEc2w9
-+KoKl8DWKHEZBlUhP3mWSRT6Fr0M5s79tTpIXYu4sPztMunqZbDAfcbkzslW
-3Nf1Z5u2RH0By80Mexrqsf8EylCSTlZmAefcyywO0jX4HuDxD+k9wcswXrhE
-iflpBqrzeor1vqMvl2C0Yp8Y5yMT/J5Ffj2j4ecSVGzxNrU9lI34l9l3DYSd
-c4IgvR2f2Z5WfD7ibjX2dibChvMsF10DMae5YRrqZUSET7evTz8+3Yf4VMe2
-uPLrBWjEn+8WNoB9Jjx4d+7bhDkoni/39c/6BOR7W7r790QrrPjj3WdpPQvd
-9ycRueSxrhuKpS//vjgKnUc7ZhNJMc8wsiFx3TlXR3jy0dXs/L7/ucKhlfOj
-hwmQ4bRc6SQF5mdC/36If0mAOk3b22c7sQ880ODZllnqhgvyQgYmEzh+Za7B
-lfT7CExO4h3YNlpB8YZmSW8cLnfD8+tWldqHV/F3F73jMsZGtdCC8W/rzTIc
-3zLX0DxI6IIveE1LIklXkW9IOBS8Kjb7BD19hh+G2uA8J1InE8Tv1kKC3naZ
-Xj2O79ZUvTNNFQ1buhijI3fi/68fL3v2k1uspWBdOozqfh32B1XBsf+YOu94
-Lr/3jyerIkplpLQomckuOUYphaKUtCS7yCwKSZKEZGdklZkiowhH9t577/E2
-3sueP78/Pud8/30+rsd13/e57/N6nXPuMwK357eCtYvphGQnKh5vD9nzcUq8
-BRQwbCw1W2KuecORe+N6C9jdFK1VLYH1QX9Nx95KaQjcXPqpM3CMgrjn9Sbm
-Q3H9IJX1bteJJRzfcFY4SJJ/EOhzfnLLJGDdOMk0uszlNwRGja0srpWMQlOF
-LRaaY43Ar5/WXst2ChQaRBg0pLei+JbkbTfkFUjA1Oc1feB3XN97mI23Xf4+
-DQTDQ0+xpnUiXvmxO5fZhgjCc7IrXXmbsI5te3DF6wsJ9NiLv8ofxvV6T9vv
-7J5SEng0BoaXPlmB/8rhZ0CohxcdBQAWjYLbD3+h8nlI6OsWsyeDnTy0vBr7
-KlD97TgY6Gb/hwJMpZVKH/2qQjylf1eTbt9m/84zItu6CdfrAuGGjICReOCT
-laYpVIXr7/ELn+9/D6HAKcNrLdsccHz/jfnlB8GZYNBNOqB1pBLFe7t7Sn2N
-p8AkRvl9O2vr0XfLcWzrVO8PEtQ3sZuY39WCuEGUv7L5ARLMm44IvDDRj+pd
-AOGkkn74DDywf7q9uxPzwtvy0ndiZ2D32tkPXFnDiEusXd+zPWoKWumIlChO
-jiE+8PmsZcEUAa6btKSW78e80d/DjmI0CTkT4s/kexAQd5QQd3kXMgGl3u4t
-nOPAPOZ1O8G+YWLTZ7/anNyYQlyYmeVIi9Y4vGp3X5i/EnP2nB99SU/God/B
-HQ4epyjoeclDjOfZLAbglptAb/oTrtfFFVVPf8wNwGZ5+x56D1xPO8ud/Pce
-boeyQx+3PJrCeQ4xjTfer++HIypRgU7GlP/RH5FA7vMDUCbeMOmF1CzKE5mn
-eGzoXhts7D0soVSL63XJkEtz/NZKONlM29ylj+Ov/nhwS+NcG5weGBqyaMT1
-XedayzEdrhhIb/HEYlhjDuVJfuwZWkqtgLFqg47Cn+dQ/K+RbPUu5TgomOxV
-zV2E9YF0V97uK9c/cMPxIWuBwCxuD7MIil9IbAKvxeUeKl+dQ/HbVG4ZGIlD
-oCLX8FFJH8cn7FPZXijXBPzd+gJ5q8ioHtFq9AncOTQAOkSC4nyiqYgr/fKJ
-03TsAR+TYmpe9/+PblhfNXt4tw/YfNy9Fm2EOb2maHWhVj+Qo7dVin6N80uc
-9Hh732EAnBT6bZgaOYV048zIlFDq/DhoiG1+WnSXgPgn+gdd7LoEMHNEWW1i
-YgJxwZcJYfu/EIC6pK4aKXsMcT6eli8veiZBFrPN+vFRrEt7yg5Y39CfAueU
-BvJ/OA0jfjb+lPFy8jSgvxr6Sya2H/EZZjLrsc12RdQdzlzaMMxH12tTFpKI
-wM55PM1arx4917EdEoNR8yTg+smo2sWiGfHEhH/PuDfbFZJRZY9So3E7oW67
-BCW0lgLExr5JKj+sQfxb+Ht/t3kK4KZfofV71fQ//w2pscL8CUDW1TFeiQ/z
-a0ss8fFPMkHho4Wyow+qkJ6w5saypiRT4AHOGfnColfgv+/zLqMqb/82Cjy8
-9o3J368axe+zenZV7i8FOj0MinAMxjrDvj9Ov3k7CS6wDA0uKJYjbkyoe7dd
-nAxvmGqwjOZhnRmxPJPxK2MGCnK5+HzPw+0BxVtbnVTDJ+GhR7EHNCUGEb/g
-EnPj2eQ0ZG23Wuz6PYC4X5CGbwvfDHTlXOfZHzWB+G3S+vJzdgLkzpo2dG4b
-QTz+8BXTn9un4Ffnl2ONNzAv20uqL9ScgvQ2cuxF7lhnus588JL3H4f5nofj
-WknjiN+a+pI2bEyAjzlWHO0iMN+i4DLkHUSA9fWKKa0Wk4h/k+Q2B/snoMX5
-ppQoTxLWVRaBysIrozBk7fXrOVnMGUYd34f6jcI2YT334CdkxHu0PjhpOY9A
-4SPiajopVFTOE+uPWn+r9MMHyftvj3zD3PnpkcBStX5oIiiVZziC9cc3PC2z
-OqMV+qt+vXPEYBbFR36v7H7g0QfpDVbzS99i/elgeiJ4v7wCRkZenrDb1A00
-vqTUZ75u2QqvKyabtB6bR/G1LvMRsLYCPrrH9nc7cR7pjBivYHWmXyaYFn8g
-NW84j3TsmanjRkxHEowWTjzS+wLrUoOc0I9fa3lga0lTPWcn1iXDqPOsSScb
-gXXMdZmDP3B+Ulwibfve32BAZN36He//XJeu+cz6+RxA3y7zFXjP4f8pVb5/
-2DPrAd3PL1tjr2IOklr/OSo1gKO8Xm1/P2N943GjMa/y7QHLj0S3bNWZRdxJ
-Lh+ej+0CnEVWDny3yUgHXu0RDN+/ZwQMZpKoOrewjon9uLkv5cQEYBGZHaZ7
-SUK8ykpUg0tsFBj56ldoHcd8i/fzSPbPo0CnM+eahRXWNw5+Yc6RSQLoGIiE
-f+iJiBcYMD+tsx0Dzd9fT/30wfpGVemrCwrebHcp0zMeVp5EnP70F9Gk8gmQ
-dreQuFEwjniD25PQQNVJIBM3biH5BPP7UzuEHzlNAql9849kokcQNz0p/U2M
-dRqEaba/+sGJOXzsLWx/dxrQ7HvvGEweQHz1o8Af2uUZsHD91vI7B8xXNLaq
-r58iglH7Qd2T21pQOfefyYh7Z0YC9x2f8xHtivA4f/GM9+9wMvjVYnGvVroa
-6WTPMaE75GEKGJmW/trEUYd4Ul3pSNxOKpj19Nwe21SK2oFJfooc/AeoIMNt
-z7U0wWY8X86iNczbNAGoECtSXjRgXS2gkfc5pZIJDi0V7hMpL0H6uez25bTZ
-NAWm0Q1VpK1g/eTZarKUlE+BXzWPvp9zTUDxcdV3e+VVKFB1XcUqm4DznOLq
-6GInUuAZNQ/DPpValMfT9anvn1oKFAxTVP3zohLV32SVpC1X95LhE3KM2r6V
-QsS52caeq3qS4YieyXWCTDXiYvHtyZcWSdDOTESWSN+DdIZ/136j1/lEuMij
-Sz4Rj3W484u51Jnv01DW4AqkvCZinsGhqbtnDIbRaRsSNbFe3RgXE4j9PAL3
-RF441HsZxy/mVsvFCI7BnmntHUMNWPfUFnnO0dCNwvOKG5L7dCm4nxjOYP/o
-xzDcKrB29coyzs9iZOvUuTAMax9E7bkvTUW8ecHAbXZ9CGr+42jR4sP8qE7D
-eUOmYchcfan1SAjWsafrhxgyhFqhTFK4mRXPHCofHr4HzI3xvTA/N6d/oxDr
-ZI/fv0jGI32wwmegrvTMPMojfbzu7HhTC1SrpJ3b/gTrG3OZ5VPidBJcFR2y
-tlvEOvlXyqqeZbACUtJjV9n3LCD+la7Pf89EBYQ1RqT80wsoz9SOoi/H637C
-EtEddFMSWN/0Jl4P8ddlA9Xe0jch8Qt4vkeAu+tfuTTgt/3r1y2LON4xJ6Le
-xiwTpHPaX/Ccm0e6F77ltW9AWhVoSbxBU6SMubsYA43Jp1oQeHJKOuMs5pp7
-M2Nss2rB+Gky9Vr9HKqPX76JvijmaAf54xICi2yYwyOis8/aO8CxErFFaiHW
-Tx86ysO78Z0gkFS3DqWxfhJyX10RUhoBhTf4illOUhE3orv96cWfQXDBqpl8
-hA3zZ6dSsy41DwJ25mc53dewHqa8uxluoDIGTFRjjI+qURBPNKyQVW8ZAuqf
-9UhWY/i6DfdKnCOvDYP2XoWbC/lYhx+KOdw70jICaJiykhaP4fzv+iJ5eB6O
-gc9twUdCIoYQVwhT8bUQmQHn6x+c+uaJ24dOEqIXrmYQgU2VW1CRLo5v7df/
-/UR9BhxpibHwMhtE/MSE+z3b7BkgmH5n0cCsG/HriYn1RroksJf6mcuV+g+V
-J8vN3aFzaWSwPLzMcjirEveXDY5MOpwlg+t1ppcyWnF7MsXU/+n9FQooT7ah
-KhZiPfRVf1wuwE0FX1hDzhs6NiP9uVcafMxVkgozevIi6tua/2f8KsooLjEB
-HLXqXZf9n3ihO09fyG/Gx3L57EtzwvGWYzvtnI9lgiVH34ZEzTKke2FBZSuB
-y5v94hpmY5YorHuKAb5N/g0UuDd3nFoaiOOVA/+x/1ujwB3RQe40NPUo3qNd
-qmjHIAVmyZ098cPfDtXfPqv5fT02FMi1tSFJtywX5XlYx5CnHkOBNu9btipz
-4f71cZa2F08KSXBLqWRUuArmAS5Co4RcEuSXM36rrdqLdEZe2AuetiXC7rzP
-I4/HOxFPYdCN232CBHMOjXSs32hGPOmfWNbEMAkWwhz5r5+HEL9+K2ELrfw0
-fKy3Z59bAuYkxu27+aSm4dd8Jo7x5FHoOtXpWxzVBs0z1EKfmU9D0U+3gndu
-tk//42zXtsd8ypiEHz/TXfPOmEb8967yuF4JAqS1LmH1pME6eYSln7NVcBie
-6TRf0f2IdVit5yJ1bbNfNH+ogmCZhuOz2vIDjIKH4P2LVl1yGlgPXV5EucYU
-tUB6Da195d1YV1u3lg1cmeyBqaoeh8W6MM+/fNny7HQPPPRk/2AxzQLKs7Xj
-FHe1SQvM+GW+ffHTPIq/EBeWHS3dA/+avZq1XsG62iyaHFHSXwGv/Hpa/jID
-66qiQFjnmT2V0KK3eMc4D84v5V7L9tKgBfI/j1pqlcF6G5r4a/fM6E9Yr3CO
-/moFzhPO8vCVHX8l5CmfTHq3geOlmgcjDvr/graP+Fs59Rfxuoxp0RuypYmA
-o8GV6F2O9fnx9unWMzGp4MW7m6K2elhX+yp/i3ny1IK22y7cKwkLiJ8HX2Z8
-usqBmmJL1xEezH+UippVHa0CJ6kC59eysd4G5U5pdmq0A3uHA6H1b+fxPIez
-J3K+6baCvPAqZYYRrIfnygN/eO8ZAs9oEt2aamcR17qS8OtdaD/Y6A1u1FzG
-emtO8+a0RdwAaLIM7i3/gjkhRZ7h9L5B0PD+9c2DTji/8Bbno2J+Q8DcO+MQ
-2WUa5oZyru6PbgPydvlbDsYRgHizdL+ECAFxQ72Q801OU2A6LzHzpeko4rX6
-WaW9T2eAFiWOtdMc6+eDg0sMnsozIO/8tlaLkB7EraNUr7qfIYGTTeCut1YT
-4mb8TsQMVTKoOlNmPPq8E7ef887wFwSRgFf8kG3lwTpUboduV51K3EYGjcw9
-3N5OuD35WmzbcuXuzXZjxY1ajyvlSD/N1N1v2wlSQefaWCm9YAteFyZ7QOvQ
-IQo8ONQyRXzTgudT1XuImI0ngO0MvocT+XA8Y8/O2nl2CvzGrsswehLH93uu
-Zx6jywQHVbgnR59hvY2TLJd3l6fCzGjjXuXRcqRv1qVVt7S2UeFIJO/OIj6s
-k0GMqqW3hynQ1qHc8sb5JPz/kW68qo+XAmWBf5PfZvvov/ou4hLofi+JBO9S
-Qu2DgpsQd6h4nMm2SoIlVZEnazWwLhkvmET8DJ+G0slddss3hxAvVe/5d2Zi
-BmZptfxsmhpDfODzHy2p5in4xu/ud/MpnIfeDXatX5uGHoTjRSZvJxEnJr+T
-J4tOwtD9uUu+PVj3jpLHhzpfT0K+RLKwfs4M4o0cOmcu509A6W6X98q8mFun
-zHgyMBKgFjnQlmlTj//jUrGh4y724xBqFfpUvcd8TOy5Pd9mf8miKqCNmYGC
-+AkdxWoO7zFYM2DPqEMgI84se/ilf/QY7JMqMXfvnkXlJvpdzSWgZRDe/qpe
-rHQe8zIGkuXeU0PQkH9t6lHMHOK/VTx3bNcehFxasaA9A+sY083PNYQjLVC5
-Suzop8sLWCfvvpnq+9YNZY1Olyl1Y/20vHCigGNbD3QwkvQrs1hE+nYoWc9f
-0qIS3gOtE4brOP8hRgFF5YMt8LTjoOG16kWke3upjfNalpnw9myy4jWeJbyP
-h3trd95GFHgbaWwo/WARr8Myvk+fz1IKnC9UcJxcxzr25faCzrukMuDb40uc
-k1/A/xn1vpKF45tBsMLPzJkurGPXX+o6NYW1gAym6kAeiPWql5kqqvyzH5xf
-nejTDJxDvO5+0J4WoT4wnuylu6sDx9/nlvtA9O4HAe++Fx87jXmZrlP6n9sD
-wHkjQniVSkb6c/pdYI5fzyj4lSpEp92M+Y4r6hf9aMfAcJKscn49CfH+B/Y3
-f4JxsFr0Vf23NebpsV7WgSnj4Bpo8eLxmEG8my6c1ZmZALhHWFwNNSYRX3X6
-6va4bxJYFgsNv43FOnm+XLT4oOIUePFs4uK+lDHEI6LazXLLpsE3F+FfHjFY
-P2uiyVYsN2YAC8+HLZI7hxDX29u3w2yZCBRaH5qzcWKd7OY4NgSukcFqdYxg
-Y1gr4pzPD+cwzZLATpenvSedCpDuXZPjZRJppADWGvmcy2KNSCfvfDy8IqW1
-2Z6Uo6183YH1bc1w6ZPXITJ8nXj2HOupVrwv2asW6yq+RPCI3TY13L0V5aHm
-HVedSKOA4bx9IWNulUjfLMpbrr5k//9zED8E561jfdv/ytmWMk+B7oe/KJrU
-4esms+VeDtxFhpGcvTFcrVhXD1812QPHMsA2oxp34ZIGFK/XmDKxfVM/i73p
-9zfLFaPrvrxg5Hm3nwK3GKsGMWphXm0SWn16gAIvReXaO5CzcL+SU2Lr3nEy
-XH163yidLg/xXk23OM8CMoww7t2W+7Qd1ffpnVO1h01JsOKXYOCOpnLEP4+e
-nWvMIsN3J24FBAZiXT2fI3PHrXYGenBKiel1DSL+R+R+GBs/EdpfoXJUVPci
-LpKaFbSiSYLb7RgrgyMmECctbvyy456Cjmpdu+t6phD3OGpTLhNDgGIX50uG
-d2E9bPp2cen3qQl4msrvdzgTxx8aHEmW+kWALBVvvWWjMa9akItx/kuAprPJ
-tFH5WCd529KahsvHYOS7Xe1ZdUTEbccivG5enYB31WxnvFIwFx72Ft73YALG
-XLe5ee0MzvO659SBW0Lj8OepnBAdJiriLtGWJ6cLR2F9VByY/4B1+1XVJ6+X
-3GOQc2hB8mgf1uEXu+xlaZsHYRTVN+xIK84zI2Q2cUJoFOr1f3VQ6MHxOrLP
-VZg29fyh/oeQJu55xEvVMwihHIOwYbTRd7fkAuJ9hRXiKx4DcC9zyZ4cs0U8
-H57tsLbRQjMkKDxwsmBYRN9JfKChW5VENwS63Qd2dmGd//FG7PG2W92w9cDu
-9IF/OJ7Yf8biWFcXFEh8ql0jsITXIxcVtvLPVkIJ09hT3MeW0HWjf+W9Hx5r
-hikfR45bNmKdv/P0Gl/+q0z4Zknrk4cpztPr9HXN70IV3JOicITr8xKKf/7K
-15LF5Q88qM74g7kb+8KXcVvTHdK+wCH8nPspU8zvvmUx8WMMB+rAy4TEsYR8
-YWDu8/rOi0UgYSYh53kP9hGFThn+ZcVioPOSYnI6cxH/P/ooORJwrQFEij2S
-v7+CfeSgcZhdxXIjUAkdl23pwpwhnkmMeKkJMD/xZMs5sYD0bUxsOKddtguE
-NV1UmX0wj30hM8Vyu2gP+MehpdkTg/W/I435+a/zY+DFTOtlJyoV8UsjFuKf
-dIfBrazi+6f/YV5c43vyXfAwOFtKH/z/65/+46GrzK+zL0+AH7aPfJ1XKIg/
-NB07nRwwAsiii9srnmG+P2nnXWXxUeBZmVAunDiFuYLf/kPCk0D9rHP0dV58
-n77A/IxP2xh4eZSB/aPJBOKDTo4vDpGnwLOBENbBL/h+DLZMPBGznQCCXhL3
-rzljvpdHzXHg3QQYZDTKFuHE/nKMveVNdNgMiNyItTjggu+nrbmVmaQ4Ceyd
-Ep5UPsacmyXVW0d9ElATHijPVowjrmRkENIiPw1U40aaNc5jn+IVkBO0GiSC
-mbNRR15HD2Kf7Ykd1uIkgVfRPrLtnLg9ny62vcg5kgQqqYuJAfVFyKciKbei
-opYoYD/vpfeZdL/R9/C9r4SQME8G7K/jgj3o8HiI7HWh4Bt7qODNt1d7Izmb
-kB9NGcmrxJhQQW6EtWH3u1b8v777erCGBAm6ERp9RLqxrxWcerSR+zARqEmL
-/3E51YbyhLJeNjarJIP14CvZsQFVyEcMm/6+mzxChQnhcifMHXD+7IyecLtD
-m/n3f92u5orzR112nFyqyQB6IUxTAh+wb+6UV++UyKYApYG1JYXkRpRH9JLA
-XOJ+KrylZ+kXuq8S6RKZNP6yMI4M92sYeO0bxOMYv3zILL9PkODRcIaN3wk1
-iHv3HZA9aUuGCZftO/w1sL/wrXV5MzwkweqP2uZ56f2Ia0a401LoSbB/SOCh
-1MAUbFGh8vjodsOTr2VqWC9NwS+shzeOqpAQl+2rCmxr3fQdQfodMq5YhwWo
-e0S0n45CG92zf3IkMG+9d/R6V/QojK1vGR0kzSIud/JnfYX1CGyirF7+Y435
-oxjxOp3cEfjSz0fi8jrW7epSlfSYrwMwm0VLvLtlDsXXzVGCm8aGIcPQtzWV
-dMzj32hFSS4Nw1Iry/fs81jnb11T/7hXYgCacs7uT7qKubWRRETmqwEY/KHZ
-vN5+Cc/rWM+j3fexC554ceFjTBPW80O9UjF9bV1wO4+Jv+441mF13iBx79gq
-aHLFZiOrB+v5fo6iyHOUZnjrVLPK9b+YGx5sUhzc9BeHVwX35CKxbgvQx39R
-/vQHljgtNCjHL6P8Hjt3G3O/rIZP5QXCrGUx172rniDNWQ3zLsG7254sozz5
-9iVuJ1r/QnGtte4BQ8yDy92P8xb9hQH3UuePhi0j/a+fkan9O38Pngsg16rJ
-Yt5eHP1elOgC9LOa+QK9l/H6aN1SzQqzv0DFUX5moBH7hayh6p1hlwLApP92
-4GAu5v3BbBLNQwVAh7rnb8iTJewXsGNkQ7MO2Nb3/XRrxD6ivi1bI3FPA6g4
-JXv6egfW//y2HduSaLtBGSiOeDaB/cLp9mOhXvUOIJc3Aa9qYB6nzcky3tMJ
-VHue7S4zwPovc25MLnTPCIj2lhAhl84h7nHfylyCcRCoF12JzviC+ZcfeSlL
-0oPgsJ9IdPDgLOKHY7THlgWHgEjxjvmX9zE3ZVVK2lI9BBLeQcknh/F1xSNc
-rm0zHAEHjALyw0+SIOvcKc9h3W7QbHrGTa+PAMI+vJ2P22yn/cffmEqovGqZ
-AhUq/aCdHvvFTPfyG/KhacAU5fe5VqIXcSvTr/fr60iAzZZV8LbMCOKlSad7
-pZZngNXXQFm1+h7EiYkfyl90ksCB3vKGkzr92O8MtP1tPpBA+Fmm9MPRVag8
-KUqekhl5ZLByb/XM3To78N/7ytYjWXS6UsBfuXPKNuq438FvaadpfIMKRLg/
-JF/b2oz4g9k67nJnKhB9QdXhlGpDeij1j9DonDUD411dB9Q92rCumm+MiIUn
-gkMfdpu96cS6bXer5d3Wuc37X2i9P9Lbgv8/mtg/fZpEBWNSVjYcDjVIz7uW
-e/8+O02FXk6E/T+P4evW5hdLR7rOQCamJG0nEXzdLZlFOe5ZGcAzxNT3iiy+
-LmPrGZvD7WSgnKJ0MNW/Ce9zVWxHRy9MhaS0kxe7YuuRzqh2VwaOqZDh9r3+
-KxxHShE/fWJj8HAvGVZ9/ezFEteKdOx4lT55/gQZRi3QuTg8b0Dx7VMLygKn
-yLDVR+DdtbQBPA5jb93VG0uEBwwa1ixncR6+vz/v8h8mQ+es1fOG+3F/JLtD
-gW67HRFezqbW5n4fRzqfb23BULE2DZU66uqfB2EuQGefV8w4A516m4uJi8OI
-G8aVK9x4RoQ0h9fVwFnsI2/0Uq9v8ZuC9BHHfKy5ZxC3vXFG7WjZJPTdLlb3
-shn7y+kddHMSRgQYxnqbbcMO8/vSkhvdGQRoXxya+EmHgjhTwoprwo0JSPFs
-j965F/Osj0t7P7lOwGTZ5OxnJtgXxPd5Rj0VGoEiHyUVBkKoKP74S04jwstx
-WLXGoX44EHPuH2tKEs7j8PZrk71f9uE8ncyXabhvj8Dlh7d1iWnziCcaHUi+
-azEM9aXjNmx9FxD/INm94sc4DKG2/Weuzf4FGucP/aPBuXsADpsyS2a8XkK8
-YPZ3/a+8fujTvzLpcHoZr6P8Z/JpWa8Lbj1qa0QtwD4V38LSLebRBdW7D7Zr
-hi7j9cJ8Epdt97XAkKq7bv0hmMvk9Ap+3OSKJSwL17RWEN8woJ4Ilm+Bvefd
-nz8yXkH+olMl3vjPoQberQn9Kr8d8zZDiVeL+2ogWFrkb5ZZQf5i+8zVUPoq
-hI3lGlwvtbBfGMuIVDRJ54F3GfX5qpt5/qtHOqknU/jr3aGi8odtG8E4vjOP
-4FPC9xd45Tok/T6+jHyBKdfK89OOatAhUEQTWYB9JCbsh0YKsQakb43Nu267
-hPSqPLJB8de7FnDonMhPg0tYzzeuKtPuTBkEnHE8L5peLyB+pnm469G3PnC7
-gOwm93Ue8fJ54/YBwqYGZ0TempDG/HX++bUgiwHg+Lp7N9dWnP/0rVgfsHUI
-OBwvOs3vREV6DreHSbLtGgPcTbo7DilTEF8O2HVb4vU4iBUeyPq7TEY8o0Up
-UK95HAwrPkku+oP9ImyX2ZqxHAEYefC779fFnLv76EpxMgFUZq1IVWzBPiId
-wNupLTIN1PUV1b5vmUb8Z4rBufxvU+DtgxanvQ/HEae97/KuhjADvr28YKSi
-i7lG1AkTMDMDik7U3npHwH5BLme9pPmYBG594K1X/DqM4h+lj+jZKpNAKp9Z
-wUhWC4rXTcsbYfQjg6I7qQaORQOI2zrxzDUqkUBdiZe9VROOv1Z63NH3Ixn0
-XFZ/FztdjN5vEOtDj1hmCug7yDYr97oe8b30Wns53chgpHLD+a0w7i/Un30d
-cdaMCmJpBv4IzmA/WjpHGowJoILQX3qcMsP/40dmkzU0fNPwNp2EpLlEO/7f
-Ws/rcLAlEXDdZNSKcWtHeY5t9chvFCWBOOdQbZFHdch3drlGqK0pUaGcmEfC
-8Vqc/xORk1lzfAq+Gxj4ktKJfYf/Ym/PoegM0PTpbKDEGPadFIXy12rbyGAx
-VXy8cUcM+E8HXrRyv6mPo8Ar5F1pLKc7cDtcxP2s+QAJHqSPexiyG/vCHuHd
-8ukyZPjieezWtMvYF2i/EzsFHxChYmfemtBmvwP9L8i2y9L7TYLSz7Y8Gdo9
-gnSSZft+3cQnRHg2q1smuRz7grHis1+SXkQY/kRSQH03AfGIx4raZINpaFLr
-fjntyCjidELOV5bmZuDuQWO18/VExE9daPgsdXISCpZK1Pw8OIl42IQujfrG
-FEybS9o1lUFGfPQjT3BjzQS8qcf4Qvg0zrPGR+fZoj8JxTMGxgk+WOdrd+7U
-7XUdhzfpMjtsG7CPXHtvw3hjeRyecXs27JU8i/2xqFOoo3wMcoGBtduKmFP3
-DbUK04/Du7LCXFquWP9Xn99dimLZLJfEiL//cuZQfGzhw/GDQmOQGDJQxRyP
-OUeR+sNhyTEYVLpHQ5SA/WV7huVpX/Vh6N7NAxn+xy+2QTGB/5/f+Vi1/4fp
-g0UUvwFoq+iSh+B0xPtG+xB8PzGdl84l0g1DlTyCcI38MspzMFdpqdunH/oz
-rRyb/Z/8cUHGYkmb+Z/uSP8ZPIP9KHNy72DI1S44OrK34mQK5saCCsd3bPrU
-1d3Lc9NMq8hfxmryo7hftcCOhJKChKfYd24pnzjDd7UFTqYx9YTwr+J9J/4k
-9IZ9qYUB9D/5iO3Yd4rv6bs/O1cLfQsnSyPpV5HvuJqGakU4/4NPOq21bTaw
-HzV66YtctPkH41Qz8qoPrOL5ih4B9efCYmG61TnCyQ7sR5GF5zLDEyLhxexj
-cs8386B9inJlhT/tTgW3JgxPtllg/j34cYRTfAY4SEv0unwD+05Q7vqeibYW
-YMKgvkN1CPuXX89Kze6ycnBsX/vPzymYB7aYKjeWVwDBxBAn+k3f/y9PTMr2
-sq3fm4B7FddPNRecn//dZwu+Jy2gu8Ntu/R97F9/b1jUG9H0g/66l965mouI
-x/4Rbex92wO+z770Uw/C8f7pN/teWPeBBL5QleZW7Gu/NmJUM+P6QVDal3/K
-lv/jXwpyJL/DY6DlfZulWeIc4gv3A6SG9YaBdudXejNfzHW6GZblXw2DzL9/
-NOyCsa8FUc++eas+AfRkGrIFQmcRf8lbcOX9zxEgs9zicFMA88TsJiMziVFw
-nP3UA9kgIuJjArx2K1cngZ/LcyOTbOynwpwSNbSUMeBSy0c2uoqv6/zaeC7y
-8wQ4VeKtTTyFubRPctHuvAmgc2Pr6sFe7I8Z8Ig+EJ4C++48bBSen0E8gUdz
-xiN6EjQdoT/74Rf2u+jrh9MdFEjA2zguu6yegHi65X4/z7xpUJCanRi1gv3O
-x/j3WKMUCah5yp8ne+A89PNZKe2qJPDM0q47o24E8bQ3z0TPrxNBYhI7ja5a
-O/6vJDobZnCdDIyNvquPv8a+WVX8+ahMMBl8p3wsT2ztwOOfObkbW06TweCX
-p/kHd2EftOvYytP4igpetVkxbe3G/al9bAWXRTb7U0KZWS3n/NqRf5G/H7Ae
-Sp2EZneb3nv1Y38kzeZdtGFOAgm0pHNdIh0oz8fHe7usKDMg/tRbJsHEeuSP
-iZo0p2yvU2H7NVrTGnucX8ZDrc/7ySS8+yV8udsd5zfR8HJ3984A/ZOSXlMB
-2H/Ha54XLFwkAdUjXYZbyzOQP2bcJPnq9VIgqUv7ijZjDP6P0//5579YCvQM
-9j5uQOlCOgkpDG4OoSSoY8GzseVWJeK+AoNsNjspcDRhrJ7pxQDS7TpmQpCF
-EQk27LwscKwF+5rz2G2bn79moOucSy1LHY4fVVaX/n6TBDsVeu1WPLGv6fWO
-yQg1TsFHznzSIffGEGc0ElZScZiBu6AC8bcR9jUNBR8nZ/VJyBc97mGz6YMB
-9W9bBT37YQ/rp/w3dyYh5fJjhxcu2F9ue5FurmqMwfOsg2eEZ7F/7VhmYp8N
-GYOdD/7c51Kbx/2ysoFOu+ZRqC5/M4ectIC4/1vhe1YSo3BqrpH74TfMbzUn
-ebpIjULXQ3Y1yWJLqNzSrTRkfukNQe7QsMiXdMuIL2b5dKscH4L1lue2fVvH
-fjREdC+lPu2Hc2F18n9dMV90lScWeWz2j6raWya/ryDfud3W69J7uwuecK68
-02Wyivd5cJPKcLXpgg0qEkSVMuxHXpraXHvaWmBg1YPk6guYn6lmpKp8bYEv
-lCc8ywjYj/K1KdOE8Tqouu2ylnsC5urGdzM8vesgbbLfmceN2I/05F6YO1gW
-Qd2LPGxy1Zgrd34hSRoUQbOf2d7H+rAfxejvinmhmgL9Agy+EBMw38qWBiOF
-kmDoY81PHH9Xke/8HL1rbJvyFezOVPDSvoB5Ra+C4gP17yCqcXSFeGcV74Mk
-eJBBSq4QGH5KPcsas4J4ldnyMJdbCVjcIpz34TPmv1ZD2K1TSoDMXcV+Wwr2
-ozWNw4eHmhrAHua/pjKumDdcaU2VIDeC2qvHBB/PL+H+0TOHwoybHeBkpy3n
-HC/mvtd0Rp4+7gJMWmyXb3dgn6r6WuBacrobPAQDR2YeYB/pOcBzWRQOg4ui
-kUswdAHxbxYUDbvJASB3PyJO4SPmO58ac/ktDQCFRx6iN2LmEZewd9h9hHcI
-PPzzyQFIYX7izo+ZP/FDoMb71B7+Xuw7wMO1wPb2COg6VfG+VhD7TlDPn7Jc
-t0mwPt+dc01lEvFjYc4Kc2+mwSGTSLWhl6PYLzZU67V+E4GXC43+M84BxB2j
-xy8Kz5BAGHPFpyiWMcQNvp2Ve2BHBDErUxrdHF2ofARPv9p+bS8ZPBe3euCg
-j/P8GPkaU9hPArQRzXX6MWUo3nLinPGOGxTwY/i9lCBHA/qfkuXv4uIXTAU2
-5p7vBRU6kN7+rvtseekWAQa6afQle3XgcbA3P7hOKCWB32FskkIdWM85o+qu
-e0dOgySdQ2UMsQ1Iz7XfnWhvfESF0hMzrRHHcP7uiIhUTWYCvHNi+CWTOM4f
-khbY+fplBnAx7DjsoITzK+xQPnFakAha5cXl3UQaUf5k771P/M2pkN9O8sV+
-jiqkJyevFd8OpaPA1V07RTniC/B8TvUvnYr7KbDJNv+v0PF6FN9y0zHUqZAM
-yzu7avcHDGI9r38fvyREgpKq5S726f2IR/fL3hz4RIKWC/6VUo+GEK/64XYx
-lJEEBVY2NJhqCEiH04aOvYrVm4HD5iapHWmYf2eUOm/6eAYeGWAqOpk6irjz
-/IddIR1EqODArdGy2a/6j0Mi+9+Lv6egTJhr/Pe4GcQPbeH/zUo3Dbf6eGsH
-9uP86dtWOGtvz0DPb7+ar/XjPCe1x4tNPk3BLn0apw0NCuKuzJ0lKVQC1N11
-5PqeKewjB7PZD3fITkIBXfqzoSFY558vZGtePzcK5SK1dnpenEPxgzvrWezk
-JiD/YjrxijLmVXyLxLfyEzB2Mj9veh77S1XPa6eeV6OQ/Iyx0HUU+4W1//Ki
-m+gQbNX6NS7hs4jiw2nVmFIaRqD+oXbOovOY0z5Wqf45MQLNffX0QDX2Fx1O
-SRk96iD0v3/cxnQ35tNc9X/4eYfgm3p/+qpt2C+I9KLPBE274Mod7d7FghW8
-noIt86yeXj/UT1ldzz+6huKnjB1vH4zogl/0TdbeOOE8H9LNYz45dsE7L6f2
-RnGv4X0w5rYe79rTCl+yMYS0pqwhH0kqlVLa9r0evnxz/BiDPebnO4U8vrjW
-w+XE5++kIteQjxz/6MDm41QC1S/HEsI34/+rL5o9D8gjD39BkvfOmYdlWM+f
-OToWlPQWA205wuCFzXi0z97AA40Ton7AR+u68GtuzHN9hdW6bL+A0UHvWkn2
-NZRni623juRIHpDnGn1m7Yj9hcG0aJfSn3/A1la2VtlhFflCxWeOxQCNanAz
-vj6wMBfrf9kzk/sXpjtAnamR7IPMFRQvs97AMblcB/zWvwIHV8xD39xq3+ZS
-D1qHvunO5i/j/+OO9KYdV9rAfn49s2hWzC2naabjOTuAj3TbWXY77Ave2zW7
-Kw4MgjNsa1HqoouI7xran/7y2ADIqc/PHBjAvvCw4L1qZv0gICpffBF0eg6m
-xfMy3/LsB+fqzq/pF42CH0zNDEUnMd+m3s8wUjMKbkcHFW/toyIu9EaV6f3V
-cdCZSixU9sY8YOsCzej3ceCf4DoTGEhG/NHXVV3OLgLIsn24w+wEEXHP2Lrw
-66QpQP7k4c9Qi+PLs/7ofYkkgKM01mu7HQiI78pNupTATwQcJEtfQeMZxHW9
-zrLduTkN0l0Wiv+E4PykieJS6z9TwPixr+ZzS5xn/umcSr0QETiQDrjqvsLc
-RD+AvpqPCK4Myn6wkhxE5ZYzZvqsPpMETM9NXxfXHEXxpdackb8tSYDnuSjl
-p3k/iufIvFRTspsMsqOj7zqu4jzZXVKHpP1I4I2OmXZ6Eva175nN7TnXKUDf
-h6mx7XcN4n8Ms6qz91JA/cjr7vD43+j7CW9xzb+tTwHCIIqnPLMJ+SCPC0NE
-WS0VdJ+VXd46g32qJtXvX8q+CdioGChZJdOJ+zWqlCmhZ0mg7CLZ0v9NJ/Ip
-puVTD2wMpoDMKcOUuBLsUyf577yvfk6FVfGrAv61OH/o7gjyfPE4/M5TJi7b
-9z8++I1FstcsA3gHfpLrI2If3PK33/lH3zRI9NqnfdasCeWXGuCTCnGlQpfq
-NMh9vRj1dxZ9bmV9laLCplO1OmEnHPD6skESw9U6CpT+eaHm8nQ50sNCCRli
-5yEK3GbxcehbAfa1cm15N/I4EQaJn/4gyNyF+JbmrL/qJ8jwWpvxaGPB//hX
-V1M8bCJCnX+9Dtm+mCv1sdDcGiXCR8zVgT46U4hvJxW0zldOQ3N35vNnVsYQ
-nxV/sTahQ4RftfP3vdEnIc6TSDlBlJuCYcJGrY9lqYjvUnPmPmBOgLbeT/rD
-NnA8+1oWpaRzEk7bLUfOn8V+FAYsR7YpT8DuLdflDjZiH3RY/XyrIIEAXWZy
-A+ltZhHXytD5UZA0AVtXea8/WcZ5fguzjvC1jkPbe6SZe24LiLOKtrI3847D
-aU8Dy1k7zLfsKf91UmAcbh2aetVgu4TKc17lbA2j6wgU2SYXrDuBfc0sR+H6
-98QRyJub7t51fRnx3wl0UFlhBL5dlL3wK2gFvUd7rsfnTjYMwm0VS8+9366i
-9+4c4yrw5UE/ZIs8R3J6hbm2fN135U1fU7sj7DmgtIY4qxbF7rd+P1yeNVH3
-7sV+N+LoMeXf3wUnuUbKZe9hXvYzfGvE3y74OdnZ3lVpHfldfstLEF3ZCp9U
-XuA4ScY++NH6ynBveCs05bLlTbVaR35nm/M4u9iuAUZ2Wd6zvIi5502GX72a
-DZDaWZhK82Qd+aCSz1iOVFwZbJyV9aoxxFyrfO9DtpAyOHJ+uV7HaB354x4/
-mX+3cv7A1gD7BPFLmO82rveZr/sNO/mcqruk1pEPdm82WLVl7aDiiJCWHhn7
-Y+p8b8b0bUtA+/Eqb4k+9rvrQyFhQnnV4HBbML9BI/bNG5r9HpTLv8G94r/3
-pyTX8DoOR1nDgm/l4Mvk3AvzVzhP9bkfB6pOVwMVpn+ZQp4rSN+c+Wxa1JRb
-wMDMm/4LQpiDbkIY9WwrYFCZfbXjwjLSz41AIdqXE93APC1C5aLxEuJTW7Uj
-X4j0AVf236RPzdgHA27WnchT7wdDhh0/k/djX/OaZH5P7B8FB1Rj0titFxBf
-MZWa3rI+BES8I/zn7mFuMPDcPZt9GOR+ySCYcWG/U+y9mfdSegKUuhSc+ndj
-HvF378FwwL0RwBakrb0wgK8bTiJEBY2OAJFM6eVHt2cRfxjY5/M7bwy8v3Y4
-ba8YBXELoYDCJyIE8PFY0TFeRRLioy+PKxSdmwJ3HDbCRbNw/HZOrlbtmAnQ
-Lfx449u2KcTv0z1XkTWbAS/+ZW8I9OE8DNWC371jJoFSVXQAuIF97eH+fWr7
-N33tX48B5xXDIVSeDnklF247kQChjK3C/QqO13MblFm0IgEnWyOaz5FjiLe8
-UywS5CcBnTt7nlpS21GeQzzKniuZZEB6dylrV3g9eu8Hjp66Pkslgzeqbl2y
-/tgfDxV2c6Vs9vuMGbZwe1cUonka55kbLBIvUkHJcKn6i9fFiN/iG921dpsK
-WnWt7nzkwf74l49XIKiQCgrldxSWhHUi/4rusGDrnhiD8lMhXoRh7I8FWSJU
-+4QkkP35xC1WkS7kXw6pzacm5SfBhYOM5Kc8zci/mkXvXdrnQ4UFl//JJzrg
-/PwSdWP8AWOQfOqzmNEHnP9wzPKbJ3cywFEOK95jEdh/07prttElTwHV3Yts
-32QrkA+K23v0eulRYQ6jxqfpYXzdsHz2WpNQKjw+c/79pbe9eD5AkHZmeQsJ
-armX6L7Take86NNcZosZebM9sOX9ZO447pf9NJSQ5SDCbZUX7zstTSP+knKu
-tvHsNHx7aYVlnh33p5JpDCR1Kifhwn6/nEQS9p1L2bfalAMIkNT1VfGiDvYL
-+qNWLtqy47Br9m5cxO95xI+8vrF79MU4/Km7rTFsHPuIhq8N/auHI/D5JcE9
-uW6LKN7CxfKER84YfFW7vbTsGOYyvwdkrDvHIFHLjlrth/MoP1/yV3o2Ao1N
-vr5Q9MS+k2Dvs++m1AiMUtW9xBWGfeTwt31+Pps+8ms963PQo1U8/6FQO5QT
-DsLDx+8ZcV3AnCG0rUO2eBDe4Q5gPyC4hjgdQSs7PnMQHnW14xOiWUf514Os
-z2db98P4EiPqnAX2qRN/VChiZv1QvSTpBmf4OvKja+oHzvCc64bmLuEJOnKY
-szP5c13i6obcZ93VD2zdwOOBPBWa7IZtMN+t5ZR5Kfav7zaPK6zl26C/+x2C
-gtQGXuf4e+eYrWYjZEw5+7mUHfOWhbgQEYlGeODqxexqmQ187nBvg3k1oQKG
-vYlSDTqNuYMeMTijqwIqORkYsAhuID/q4fFkn1/Lg4ljyq6ZHJjTtmhMKD7K
-g17Fcqa/57FP+aXdDBUXjoDWf/2iFksxv2RzY0urfxAM9TbWVvddR3708VTA
-rmdfU0HRp5yc/y+f/zio4nv7ujQdqH2+xJQxi33q9YmVmvmVYtBhO9v56eAa
-0hmt3fKrrTIN4BSXvvNGAfYXdp6d2pOXesFv5an41lurKL5hy4aNytkmoCXH
-zReqgnmrgNs/NdMm8Pjb9olxCewjbFaKJoFqw+DOjj8xNC+WEI8wG9LaYTIA
-LplJaKY74+vOe8xnCRN7wZ97xbcNHHB8h3GQZ91mvJamh1I88yLiUoKxR3aJ
-DwGOz3RfCpqwL9CxsheXuUwAUbZTptsXsP7vcX7uk/5+EhwfIH5h+zGNeE3y
-7vdPE6fBNtcdtxh1xhGfTTXIu0FLAtt7Htl9M+pG90mIGuKJtiCDoRwaxsn0
-Njxu+aEzi7aRDB6Si79FnKxA+sy9d4pxyYMKlv6uJ1WZO4D/3subhH7RvF4K
-CP1901EyEMebKdXdvudNBefUJGiYfrUiPbdK29sdvm0WzIYuTq0WtCA9pOyf
-oMB4KuwgfA3Q2FOJ9HOf0IKJsDEVCshFG42VOQJU7wr6iSs9FGgjzJaydDkW
-8QFxRfWQDQpUTZBcJj1oRbqRoW92fCqYDIOvHn+6DkeQ/jRFBwblcpLgWlvD
-fnX7JcSLTVmKMs3GoCuftmdGNtaN+1/APvfcQZjKbXowpGIF5U/q6ro1NDcM
-j864rbbdwbphbmX9nsa9H4asTjpM7t9AOvA193GgVkA3hAk+t6zCsA6oqNfU
-tyy0wb+naS7uGMX1mlYl+uaFk01w/b0c44MNXH/16KgfQs5WQ6Ui+qVjY7ie
-LosL9x79+A92Z9Kcvhq+gc/7SHHqL6xJgFQzh5yn3Buo3v27oUF53BwPugy/
-WBW+w/VinE+xSflfI7DJ2pNQuPlcaP1XG3PkX64iEJr+R+mWBq6Podp0Jt8K
-6sHubW/ZCc/x9/8iizu11mwANB0at7rxEvMrv0ertI0GAG2lW3Kh2RCOf7ux
-OrVAAuo/poxLuvB39a3OdEDSlwokVevl/HdWIv79westYn5UICq0rz++pQV9
-b/Nbmk5ZLVJB8cKBvtKeMHw+lAypJbfHCfodFfneOFaK+VOeawKLD4DHcQPF
-nqp8fM7jsAyN3u180H7VPqVccgjF91+wZg366gMkoIKluAc+Z/xSt3jijuUJ
-EKtRtkuVtwS9RwHj2Yln72fgpYvPOLc/xucaC3zaT2Nh3Av53yysF9Lhc675
-6fn+yQ57AtcTaRE8Dfj87u9cxQXt5dPQK7e5Ri3nGT6v0zeA/th+MuhMne76
-NJSH2jPymh0VVnspMGSf5+3LRHzO7N5iPbY7a+3g3pjVNyWuVJTfYjzUpPQN
-Cero/DzQ3obPCU0dH33Ea+YIgspzGA+PJaE8ZXb/5H2/kcDOt8qcXfz5eN8w
-8X/S9zkokHrE0vKMwTDeh3yK95nul1HoznA97w0Bn58YZ6ct207bCI+au26v
-YmlB8Ttv/9V4uGsGysVYTgq/wfF3j3DspbdphMVFNtI9AfhcKpaEeDZrxXGQ
-vVKnIpPYjPhlXsfSV9UzoFbh3neBGJz/npmN0nr7NHSklWX5RluAz800d7+e
-w0CGu5IXjLWVC/E8xjZxt+XNdtpaHT2ZqoLPgxhu0ZFoiOmDH+7vaNBvxOf+
-RAXJ5NNcsILr8xoeiSr43ITL0rvcOnb3AzMutq4i3kLEzbTWQ3JmSWDpwacl
-lUdFKL+gcdcZ82ISPL4s7H5ptRjxxU8nwdtYEiyI8GhukehBOrOovWuNcX0a
-2unKyypBvA9/MoNqZscAAbZ931/KcgefQ3F5nkHq6I5aOBPr1VCSiPc5j9Q8
-duhX8DhoJS6uyC2VoPtsYo47+jibBOxPq4qLGHxA9/NT65lI5AAZ/qpimzka
-gu/nJxdvesLANNz7QeJSgTne97iaRkDkIGcnsEt/YxE/ivcP72GhXtTXmgEX
-Ca0CEi/xvrh6oY9pqXfjgd6CQNueX37ousrh5HW3djJMu9GkN5eJ98nPy2Li
-sqgahmU/4o43yuD9nOm8PfpdTAIhv/qFSt+Yh0g3pGze3rHaQgGGDNqySzvx
-/op6dOFzfHJFoPn4eHSRPt638DWTuAHx2wCYSVct8VJORs/1Qn06Pj+UDBLS
-D7CmF9ghv6ta+WMoTk+B0MyUIJ3dhO5zRq9kpv88CQZJV4w2xBbjc3bqU2ID
-NsvrgKVaf0M43sf1uG/Oqz5iMwjj5ygR7MD7jHFK3H8S2jQOGu1/hRfQ4v2y
-gmu8GWhjyMCF6dFhZ7ln6HlZE/PqghkoIIr1YaiMxHPEW7SivbcwUkBeQw5z
-v3Isuv8XJPvIu9IUuAOYRu68XoLu06KLx5LwiAwDNW5Vih/H+z45s4xm+8uP
-QW9G7TfxNDOI8/TtbJYvHYP62+8q8jvi/Z24slPzo6xGoDdTfZhcJN73clws
-ezzjRhw8PF+fdSgO78/m+1lTy8uqB2x8CDz+/+cd/FcOj6JoFHuXh8GPvyeT
-CZv1+z/e6HVab+XkOKgdl7I6+LMU5Rl8Ic36bLNdVF6i9STGKQqVQ7AO69Yz
-khSQ+6qXXKYTi3jH7NijMHkKYHTc1qWdmIbKxy+QNXarEQWSFk7k8Nfi/VuY
-U8fHfPmmodYMLZNSNt6v70ZQhMimm8Aim6HwzwDvZ2J0u0GkJa8CJtmYcvYF
-4P1VbrE01/vFtsDp5mCr7KxydP/tC2wb8zfJIGN6bGvao3h0n4Nb0q0Dr1BA
-N+RdfhKfhjhtyLRwoTUFlNDqsCWZ1aP+7BCwafzBSwUKTf0XR53xvhbqRWbD
-F0WooICZI4yONQs9L9NCOjOvMwXGVhp67+DA+9vsbnxLSpskQV/msPSfN/vw
-eoSdV9uviRJhzNCKoifj/6y3HT1qLqQ3BNOVP01zd+L9TOIdLmiJb20HN8TG
-tfz/9eL3+GarSBoHCViFzfRe8qlF8VyZxpfZdpEB537nZ4+f4vXsRurH962q
-kAGbxC7BnYaZ6LkUU23rD3lSQHBr5UFts2w8Pk/oZG+LpYBXZaHN3moNqHzu
-8rw09z5LBVLqzWdZJCpR/DtiyMFRBSoYuX2g9PHlClQ+7imWlGpmKrR2p59L
-GcDr0+G1GhP+OQqUoOcN32UDUbzP8tUAjTQKvFZ+135FCq8rF0x8OHSgnwK1
-Png/drVpw/3Q2Q9aj9+R4LT2Lajcj/fVqbl41e30eA/cbmnwK5Yer+c9FXRm
-tTDqFyTSiRU4fcb7PwT8fa/6PbISBrwhrpFD8D42X2wtrsSlxIOrV8LCF8l4
-/5Zr9zo0oQkBFOXkP/1s0YLK+XS2z0YtKxnEXLd7QkjNR+VzhzPsBrGIAo5p
-zrDs4glF74vVs8U//ToF5Ev0EGoD8XeYeSD4Iy8/FfAoTyxp9legPIZvuf/a
-yFHBdcdhy32UKsSlKzZS+q5TwQ0hG5efjHgdpcCpUt6DB6iwWJ6662UfXs/I
-UnP/Ex0/CZK6pZ9S9YZRO//CgdxDOx/PQMsbsTPizHhd/LWvIkKculNwkdXi
-pCEtXj+Y8yRjP2QdhYSO51x8T/D6QauCwGXXsYFNXd+9W7QHr+8eUigTrl9q
-hlXS1A6RA3h9GQ9X0r62/h4wrGnEoMM1jMrZ+Jt7LMmBCIbIGoEvs9tQvMYQ
-3bh8KwkY8hcnh+zE67Di116EZjSRQIZb6rH6U8monN3D3TwYhClg9J6R+MnM
-UpTnivPX8IZ5MviSFFNz2BJ/54UL7t535amAtvytosMrXM5ydwZHVtSpwPwS
-WxH7nxrERVNGIIcxFdyL5mbZGYbXmar+FAhI4KLCLFZu9j/V1ei9qBcUioUK
-UqEaWeTIoQN9qDw53vcxRaiSIFPZ0J73x0cQX87z+GPANQNT8ukjPivh93Jh
-bZbwU2EKvuf/ceetE47XPfouzoo0DXcmeTOyvMfrKPP/CSomLXXBMuNwQp4O
-Xvf3MjO4yZq/ETA2sP3k6sTlH+vNa6N9gghKvJplJyXw+mJxs7H5hHASkLfS
-vXTzYxnitbnlZ/unyeCD8fm1tRO4fKTV1MQmH1ABISjw+6W3dYgL0sx9ePaC
-CoIqT6k0fsDruQ44W9R5ClFhq9clm5KQWjx+WO2vKnaWCtPVJTPMc/E6qUM3
-Op6FLUzDLx2DHYpK04j36vyx/3BsCjI3V2T3X8HzurfkX61kjxiGs4pdrE9y
-8PqgJ5YP734i9cO9j3d9TjqN5zPb1S7FPzwDYdpDmkrzO3jest7F1dP3bgTA
-J8TiN74X8PzkZUNpk8P/MsHer1cK3vxYxOVmo/PHxaQNxEj+uG5khnmP4wXF
-BM52wJg7Jr3tLZ73a6NhsyeTYQy4Ot39RjbE60EkrwzMvR2fAUKSFxkESbV4
-X9MkO87qMDKo3ViZWmuvReXcuqIwxWtNBZY3L/1w/F6P2z+/G43HvanAbFpw
-MkgSzwulz9B91HSZCj/qxRKVzfA8fw4mwO63NgHzrHzP0l3BfP2YPUGJnQDv
-2lL3t8XgdU8agyEdJRwtkKdQY3W2fAKPz5tZX+2WngH81W2Sah9CUX/2j0+d
-A280BSg4yPnRiUUiriB7hutZPAX00M88b7+E7z9EZFThkxsVeO558ufCZzzP
-6gchnv5eNBX0MkwkL6bicWmP6J/ydAZUuM1fUS/lCJ439WZg0N1Wlwr1PwaK
-KqzGo3g//h+EBxkUGKruPjOWhufPdMbbbbscNwrjJ++F0nXg+f+yHF/+PXYb
-gpySjNfuhuB5kgK/BLp47nXBKT7h0bt7YtFzfeXbiK1L3dSlB8qK+Q/TEddN
-fHs8cIwC0luM5QhdeD5waziri1ASFTzqHFXe5t+Iy8HxSx3dbyq42rD3Yl82
-fl6GqKXCm5vPy/FWw92+CPPAodyE75vcQO7f5bd1OYibqb5JOrZEgc7V1znr
-1yDiX8/0iZ3bTYVuejdF1brTUX25U6DLuduYAp2uHSw/eQGPt1drt7gM/piE
-Z16I60fM4f/FavEJw5WLE1DtaNK5OwmYb3y3m/U9RoDOfoN+va/x/B8Zow/X
-mcz6YcIl2RVRN/wfc4uRdWv5hVb4lHZnHd1nPD9nFR4UvmNZAq8+mHS8HYPn
-53hqKNWbRaRD8dYJ3Ruv8H+3wbXsxdiCfvD+t9rHWD48ryOzxHR2z91JsO3y
-wRBR+j/ovZz2taJZ2qCAVBGLt1ue5iNuVOe6PHyUClpFlCXTduP3UtLYeHkp
-mQrqBFhHe2tw+Xe4iWQwGFJhUHrmsdMdmPNEulcabnI644MjpsKN6LsS7Lfd
-8cmfDPXln947wNSJvsNlFfmXcfJkGKps+VPWE/8H+cNHddExmIaqzfDVuhH+
-fyGplZYT9G0cKhgkJhsI4f/XDNzk87Njg3BPj9v3X3fx/1PrYGf+lrC/wKGS
-vnZJAo+7lt5Iy/QYnAbV3BfP5/7qQOWZ94TH4XscGYjpVzSPseDxqJ1+9uZe
-E1Sg8wFEhYzg57W2vL9Sufm8j5JlZRWpmPsycXhLG1EhbeJB5uOCeLyxU4cq
-1sQ0Aif7T6hxWeBx8ov8BYqlsWUgcFh87f+autZwKrM2nFCTZkLaHdHVNFF7
-pmGM6OgV5VCUXVSEZEIHOlBOFXIojFFppj5pd1J0uJKIaGSnUc6i2g7taGNj
-sx323j4VzdTX9+O53/l7X+t61vPcz/2s911rve9aW/U+svutL629VmS9Zn5o
-iPR4H8/uz67YHhyeuewNI7RNCfM4yK5L9y1IVvmQ084cKDypY3uZ3Sf19vPa
-8Z9PEqZYtSEryu0V4vrQKtcpEH15fk3hl/uMZddv4zhJ39z54r9bgK5zQX4D
-xplGyfzUDflD///+3ap4eRn4X6xmumChiVIQLgpQfOf7hD0/7VbPh0lf5lMT
-9Ypbm306kMcSY0m4MFYuGDJonRO3nt3Hea0ylNRY0C6I1nPzL69keTDKfea8
-dKCJWZUSGZgxn90PNahyiXEJlTPXl5zivjvG7mOeW8nlOLoomZqweGbt5gbY
-+bbiTm+YTMEU6VpG67o/Qfvuty8ne8UqmaszU0UnjqRjndxlz+poy6++PHeY
-HDvFnxfY9Ubhu5X8nV7MzeDJGh9VyoBHmW3rPrPcj8nZcGJ4mZmQvd/Te9O9
-92rRjNZudd9wWSvw6dYnIlKEicz5mqp9/1wXsOesSqzj+3fnMA8er9zj7iRh
-7fv4RmbPSEa/9L6xcKa07rLegIDsY/1QbzRkn6EEOI0nIX1Xmo3VOuEn5q2x
-8zNkR3oE1C/+27WKUBw42Qoc/y1yRDE+5mLYAR4w7glXrxdx4d7ezmOhx8yV
-aE+6+tbzPj9ZZUDgWx2V/pHbg3jtBJ85tVviES/ZUXO0qjPzH0BeSLcmzMGv
-SxyUgsL3+hn+Lex9XhnCu/+N6fyLIfsUl2dE+NBBnUb0S+3TPb2vyM42wT7h
-9qNX32xrkSOP5H+wd7nu59he8Ez+OByN1FUc6hdwmgSi8+oD7LriD2NmxgQG
-gh+cM8nRFo3XVwqoX8LFwtxL1W/k4B/fiWmXq9Xe7YL/WFfs+SqSr9GBfslO
-aoudh85wPXCK66Bu1T2LxBfQG9bTOIHNSfxu8E/2C5xKnyd/qV/ql9o/Cjzz
-OK62A/wQPlJeZBv/iwx5x/6jWZKp+4UBhvzBvfCXElp2Sd8iXnqezj2vEZv2
-uk/QfuDzBL397H27oeXR4wKuRCEust//d/ZblxVihtoTDzxOxXBZTw3sEA8T
-notcapur4A/u3auy+F4rVYJ46fkScCPDxWyJFLwR/s9+7xnz/GRMqcaB6kcX
-/3UvoSXfRnNKNtrjPkGechI/vBf28Z4zvGplWFg3/MQ6Xpi6VsAsEXRO9jPi
-0qtVF6ahPe6tG3w5L1/7NeIiP29p+G5f1yFBfqm9m4XfqsZMVudYZ+NE3eh0
-YuuO2p/ZObz69FMFQ/4Qz5l2ThXz8yoFFglHw7fOY+cXXF+JB68kH+0pLjet
-J3tySxsFp45aWBWtYdfN9OuFJqeeCREv2RmuH3RdtPUV8ov76QKSZ99MaYOf
-ZMfOdZ1KyV8K8IxzUPfwPNocesEbvluz8u6Pnd4OXeFej67K+l2lbF6ATy+z
-CjrcCf8pLw3BKWfmLLsFPdPz5Y97JkXuz/pRF7hPebLLzhEfOfRD+vS8GqNm
-aD0E3shPsVLdue87MfrF9+F6gdWqjyuA4xzjktlGobxC2KF+q5307wnb3kAn
-5KfDBGaytqYUPBPOl/562eadBOMq4enNhR8ctWXQFdnfMvi+Kn+3AuMevpcb
-UzPSWcE+F6B/axdLm2ly8E/vCVPEF8PSdHqhB+K/uHnGAuPDHYiX7K8uMpIc
-OVQLfzCf4rXdaLFVYNwm+0E+s/KK18lhB/OIvOzMnREtAj9Vz9aJBf9al+MO
-68gM8tCe4v20OC12e18DeMb9RIaDO3wq2lBfhFvf19Dx0JGDB8L9Y+5ESjgs
-bziv8lHp2C05SgHphPLes7De76HaEOIifq5tNI//c80gdEvxmrs+29WtKgWf
-hN9fZ8r53bAL8ZL9n0qOmO+/Vwkc60IJjnnjR14BJ71Fqw/u7dbPYAinvOQ0
-PM1OqiyF3uh9bHrBEa277r2oX+LzewePPn0nVicUV8/hFLmynM0XznW0PeUQ
-+7EN/mBebLt4dI9YhPbE86Bicfl93xb4Sf1ua7zKu7mmHnkkP5tytDWcDklQ
-F1jHG/t8QWpkN8Z5wteYlDxy9x5EvRB+/LfEOc6T+qFP8uepTXfc7SEFdELt
-PdLfqXKL2PGB+Kz/tdi76coQ7BAPeQWTlvDqFRh/cI7o4NIN3CD2vQvrAFMX
-1T5Y24dxm3Q+zd7acNEYAfSD83byMs++GukBn2SH73psTB1fAv7Jny4z/8wT
-CjHsk37s9y+add1UCJz0lr9dM6v05xrgpCuu5xqLTT1J6Jf4adnpLM7d3IY8
-Ep+Jt7xtQnmNyCPNC/zeB/9hdbYLeSF8Q4NCFHqcfT8hfPf16r1JM/pQj7if
-5fn429c0hwSkT5yDMfm3+DwH9rlDvAVqrlqiUd6PvBAeqSt1DckfxLiH/8tq
-ikMD6mSoU8JLLZctTVsrBc84t+EBt7U9uQO8kZ/pDxtvDW8UASedP79tedUz
-swy8EZ/950zcJh5/A50TDxeEU2N0QnqgQ8pjyWjajphfhpAX8rNJ66GfnbAL
-/tN8MIF7McRoXC/8IZ2ovHA6u2ivWMDR5E+9ncKuk4yopAz/ve0p2lN+E0yE
-fk+31jPUL/kpnVuxsCy5A/7T/HFTXcu01eNkGGfITsgYr57oXCXqjvx3OF3m
-71XNvveS/yezgozCFAOoC/wXcCMpIS9ZhjwSPqB4YdRn3g9+CP86+5PD0hwp
-4sL6Oe8ni0ppO3igutjXZnRp9rk64MR/y/XR7Vt5DcCpXsJ1zDpaDXKB07hh
-nGm0afmSZIb6pbxvztIbNnBkn1/E2/prJ8RbeFLoBP/vLK/VNz4oxrhHeKKb
-KLlhoxz1gv1BUcSPBguGMJ5TvyvK7/TXXVAgL6SHwx/8AkOzlNA55SUqc6yp
-k6ATcZHOGU5cUEelCDj169Vso+BeKYROKK4Ck9P2ibs6Ue+E71I5Wjgvuh/j
-A+G3JzFmn7IHoROKd4pbcMbcpQqMw5RHUeZR+3RTJeqd8m4fUate5CZH3nEe
-zvoamds3nYiX2o+2pNo+uNmNuHAupcFyQ1t/tl5Iz6scg0w4smfIL+pC20Lt
-99TXyCPF1b450d3Hox15JPzu+CIj41o54sL9Dsucfd66Kpn/Af+e864=
- "], {{
- {RGBColor[0.880722, 0.611041, 0.142051], EdgeForm[None], Specularity[
- GrayLevel[1], 3],
- StyleBox[GraphicsGroup3DBox[{Polygon3DBox[CompressedData["
-1:eJxNnQfc1tP//6/rvu77vvYkK7LKaJIVGUVCZZYVDckeGUmyohAqDZlJZKVQ
-IVtlZu89U0aRZGRk/F/PXu/v4/97PO5zv891PudzPmef93nPTQcMOuT0ukQi
-sV45kUgJds4nEm0EdxdcWk0k7s0mEpNricRpen5rQyIxSPAC/R6cSSQWFBOJ
-g5S2ucLv9YnERUq/Xuk/KX1EKZF4VemPCc5QGe8qfqFga8EjFFrxW/knKP/3
-yr+1fh+mcKjCwQrNFf5Qmb0F2yi0VXhbZbUUfFX1ukzxDRQfKbiD6qtqJSoK
-++obE/Xe4yq3byGR2EuN6yJ4quBNCi8q5PXOpcpTFHxCZa1Q/FnFn1V8XZX5
-qOAW+r1Q6f+obssVGhR/SvDadCJxisoYJHip4GEKIxSWK/9kvfuM3n1W+War
-MzdQ2gFK27TBZX2s3+0UL6myo5WnqeK/CfZSnQ9U/CLBQwRbKPyp/MtU75TK
-WSp4rd79S2lvCJ6pd35Uek9BvZK4WkHNTVynZ6uV503Ben3jIpXTILgJ9Vb6
-idHP9PFWCo16drFgWvBGPeusPKcIFvX7cKW/p3LW0TzYVGU3ERyndl6jcIzC
-YuXrrfxzBI+MMWVst1OF+gr2EeynZz1Vz86C3RUeVPwEwU9U7jbK85r66mr9
-7qByBgoOULkTFMYr7KnfO9T73XHxTdIzqtslejcrOID2K09/wUf0u1VjInF+
-2ePbS+lf0LeK36T4NYJT9LuL4q8Lvq1vd1E5zwlW1LZmzCHB41Tvl5R+omC3
-kuf8JYI/653PVf/9mM/6xh9Kf0fvrq33dlRYS+F8zeczNBD3K++TyreP8jzO
-eCnfGZovvfT8ST37QOWMENxb33hFeU4S7KhwouLjBa8V3FnhBIW3lO8s1flt
-wfcV9lP8DsH+etae/lY4SPUZJbg/46nvHK9+ukhwgNK2V9ihwfn7xTsl1eky
-lfOVyjlW79ygtKVKO0bx6xX/ruRxHqvQX6FvjClj26g+7qfQXmGw2nOm2vuY
-yjlez9ZSnoGC5bLnRF7wqAavYdbvGbE2WaMX69279W6DvvWGfrdUedMFlbxm
-PavLEtvo/XP03sv6kVW+8/VuWvA4hbcVv0GwUe/cqHhW8D3V42zF/xU8WM++
-UPk3q8C99Oxl+lPwcT1LKc8Tgr9qw7hJ3/1NcLV+15T+Im1hPSj/MpXRR2tv
-T/XBXoI1zY+NqZvg9Uo7WeEGhev0Tie9e7Lg3wprKf5S0e9TzmZl7xs3kjft
-/qWf31S7jmctK//zggcq9NHcOKDo8WBcNtG770a7aF8vpQ1X2BKo3+8p/yVF
-p/WM9EFq8w5q+yj2M70/sMH7+65l79e7CJ6uPG2U5wrlOU3xjPpmjuIXxx7U
-RvAMpe+nPGOVfo3Sxioco3C4vveqvruD4B5l79cdWZdZ16+d4Iis9/MjBNfR
-sw6Kry/4HG2nvYL7qj9OTGqMBS/UGHyssUjpmz8pX3PFF+u7++kbC5R/jOAW
-CmXFTxJ8TuE4xa9iHFXWYJX/s+C2MWeYO4+qrKf1/bsU3035Llad+wi+rDH4
-TPFFgh/oG1szl5Wnqd7P13u9n6J382r7pXp+tuKHK36N4k8qX2vlf0ywj9Jf
-VBnjNDf+y6mPNTf+FnxH30wqz32CzRSmqD57Zv2MPE3zXh+Xxb5ZKHgu7SzY
-X2W+rzKH6Vtj2D8URtPvSn9F6dcpTxOFQcq/G3NT9Zip53uV3Y+r69yvj+t3
-d6WvVlu+r/p82Zk8KmeI2jJJaTn9vlTpXQS/1zi8pvfWUxis7/yg32cLvqb3
-L4w585/acLja9abgU3q/peCdKu8l5XlR/fay4J1Ku135BwuepWfH6VtT2Q+V
-f2jUZ5LKnazvXC84hPHTWAwuet2zlz6mcL3e30P5JwmerPC74jcJZpXvXOXf
-lfOi7D1zQ8Ft9PsGpfcSnBjnyLHsX2XvoxsIjtP74xUfk/UcnqL8O7HeY79l
-322qfJMiP3nHKRyrsJF+Xxff6q13pundjkWP2ymxD2ysZ89zdgherXaezLwV
-bFX2HGOuXatvn6I8A5gbrAfFjxNcorE8Qfl7FN1m2r6r4LbRrm1ij12o9OtY
-o/o9X+ltWAdFz9t9iKse19a5D+ZTtsJEhVvi7OMMLGj+bag+zgsOVr59eEfj
-fY+ebao8dwn+p3pvpvf+FUyWjeOBZPUV2FZBzUlspXzbqA5bCi5Uvq1Vr/s1
-5q8z1znfBf/jLFDmvwX3UBtvib10lt5pq29dCF6g0E7xiwVnKqxWmRcIHqL3
-f1X6oYJbaO2MVDlJwRv1u1P0wyDlW0d5rhc8TaGJ4tcKXq7v9FY4SuHQOuNq
-9yt8omfNlWeG4AVp57lK8AaVtUpl3iz4JTiN8jwgeKfCxoqfA66rZ78o3pM1
-rXCm8p/GGmAtN3p+XxN7JGdvM/XFaKV/or3tVfXPBbEG16MOauMn6oe5GoOt
-1PczBOfp9zFK/0nwJaVNVjhD4cOScWDO07ze7aE8JcHtwQ0UbxTcTuFMxesF
-X9fYJJP80xpWeEVhH4U3VG535SkwzmrzJkrbSPBNhazS3xA8VnVeJnih5urv
-yj9Q6c8KHqq8hylcrvClin5QobfCxoHrfqU8I/X7cIWdlWeW4AjmmOInKDyk
-+CKFIxS/QuFwhS8U7ld4IOr6n8CrCh8pzAAPUNpT7Ikqf7ng9vr9AXMv6f1w
-sep5gep5nsZwpdKeSxpnAXd5SmG23tlF47WZ6rhK7zWjvQp/s9+qzLb0ZZ3f
-uz7pdcP6AX/qpTyjBdsLPqGxaa7nMwW3Fuyd9Jj9qTJbC/4h2Fd5r1QYxf4b
-uGIzwfv0zmYxvu31+yYuWYL/qtxTFG/H/GVuKb6u4EPKt0V8q130CX1zr579
-oTznseYKxsuoG+fUJtpjd1f6tuqP/ZR3C8EHwFUUv1twbXALvduk6PZvqPCr
-iv0t4X4h7d682/Fg3s+bKvys358qZBknwXcV6hVvn/T4Mw/mJz3ejHsh6bG5
-R/EPFWZr3n6t/v8ePDref0dhDv2m8EWUfZ/gxQqnaH6/qHm+ueDtNePib2l8
-+8beyx5M2edE+Z8ozFS4UGGs6v2i4CjB8QoLFZ9A36svWuobWwpOVZk7q8yv
-VZ9p4Dbg+ir/OuX9XmGeQiflfVzwW4VTkz6LvlF4QOEShc+iT+iP4Zz3Cv8o
-tFHeJSXvt+BaX5V8bjRRvIm+/bnybCC4tsL7iq8veGTSY72lQpoxiLm/pd75
-Qf02U3Ci2vCC0q4U/EjjvbnG8WPB3ZX/SqUfTdujvtT7KYWJCksVPlC+zZT/
-Q8F19L2vldZc8EnB8Qrf0SY9O19zabhgRWXupjCKtavfXyr9dMExea/dKYIf
-c9dMen3mBCcozIt3jkq4DPpsTPQb+c5P+L2rYo30486ssp5T2qV5t5m2D1Oo
-416kOr9e8B5Wp9BPIcn+rvSFSp+ecH8xB17U792U/oLgVSrrWaVNEjxNz/fX
-dzZhTWusf1S7L6p6vjBvdkx6DbFfjKnzWmur8C/3DsG+sSfdmHQ71hIsqg7n
-61vv6ltrJ/2Nb6Odj0ce+oE+PFmhj8q9QuHoOv9+OOHnT8c+z37fJ/YM8r2i
-3+sr/Z6Cy30i4e+8rN/rKf0uwSdjP2RfXK7nPzKXlGeqfpeVfis4YdLj/7TC
-reqLkn7PznvcaPexSb/DuysUmijeOen5sEHSaT/FmlhXv/dS+E3lHqvynxFc
-mfDe0DT2EuK/KJwe5TSJ8rskXcd5Wgs7g6uDVyttbsJzd1msuXWUtpjzQ+U/
-QN9kvXb6C56k3wdwTxA8uOCz+hCN57axB7IXsqbB4cYK7q0x+lTl7FX0vWdH
-hZ3iPD4m7sP9Yh6yZ3fkPswdvMFjcHngDCtU7tUq51HBOQq9FX9I8CCFI5kv
-Ba+hJtFvB+r3EUpvW/C9YKHqOV7xOxR+UPpowfnRn/TrsjhzOXvJs4HiVwsu
-Vh8VVJdvS64fc+N/8+iomEtHq/xn9N5QzeeS3ttZoagwUu8vgjYleJrCQ+A9
-BY/7DrFmOa9axZnFfsxenlKYnjcu0E1lX0Vd9e65gs2Utp2ebyz4SJwpnC1/
-xZ7XOuYL82bvWK+Ut61CD72/qcrpDr6ncLjqeG3B585GcQYRmEO/xLpjzbHu
-rwnaA3Sff+K85tyeGWuXNs1RuEThUoWWGu8JyrO64D0a/OO4pPfqnQQHKozk
-3FIYEXgE+ERD1LVf1L0x9pXtYz+gjf/EemC+d43zr3+0Mxtrij3lCoVi0uci
-+BK4Uq/IR9lvxz44M/ZQ+vlHte8cwUkKLcF7Ba9gDmi9HFjyHvtpnDVHJnzG
-cm7WRT+9FW0Fz+qQNG4FngZ+xdi9F2fN2QXjN0cXfN5mo87HJ423cYbPTjhO
-2pXKNy/qdqNCG9XtesHHFPoqfnPBv0m/qeD9mH2ceUZ9qAv9P5v+IC3OuAHR
-v5wn7EsLor/ot+WMe4wJ/f8OhGmVP7TOffhOzNmTNEc3EM6zM3cixRuhI0GL
-EK5dVagplBQ6Kuyi8Lrev03hx6TvL2nmvcIWwst/0FrbWnCo3m+hPp8u2Fq/
-99V7rQQXqPwvta+8o7O4xr6j+8ebgu30bD/laSs4U7+PzZqes7fSuiisq/CM
-0r+C9q13X1H4VN8qK/+NqkBX6NGCbVVeTnmzgq0VjlG8jWBv5eug+FqCPRXS
-ih8iuFDlfKwyX1fZ4/X7SqWPFnxO6TNU/rOCZ6jsPxRapHzPhlbwu8IMvXO1
-3j20bHo4tHBoUvfWTON7Q/Vvz32EPuLM17jupD5pGvRV6AnQFarQMfTd7QVn
-6d0r9G4PpW+mejRR+uaCz+j3B0p/DYJe3vheR8FV+sZ70D2VzpWSu2Q9Z4fq
-8ZLCzQoD9N29ub8Lzla+a5S/t8p7uGa6wBdV0/IXKvym0FLfW6HCthW8T3lO
-zZo2y3zYPebEngqdFdaGxqR6txM8S3DLituyleAbKut2hUlJ044WqJzp+u4j
-it+SNT2qv/LtqvzrC1Zybm97web6vY7iLQQHKOymeFPBjSqej80E+1Y8J9cV
-zDd6fHdqNP3ghaAhbKOyikorCO6ob9+tdv0DDSFrHstXmuurgrYMjZl7+Spo
-L9ztCz4PLucMgv+itImCc1Xu1QqPsI5U5mEq6wa1aYuy76/X1Yxvd86af7Eh
-eDNnleBtSt9D6fOVfqviOyo+T/GxmruPMnfAq0q+j18oOD5tfOqetHky0HT6
-g2vq3X5q06Nq+1nK97DqNlRwsdJ7KX2a0h/Q7y+VfrbgUqX3Ufrmgrup7K+U
-XgG31vfHKP6n+mE0/AGlPSa4Sr9rQTP5RfEyNCvu6Xr/yKx5Da2z5qt8reeD
-q67noeqr+5V+r/J/CH1a+Vfq+cyq+SM9g7Y2Senr6/lcpU9Q/FfluU/xKnuB
-6vkG61FhhdJnKL0V9zhwZMFheu9tlXMua4/5ofE9rOJ9iP0IWso1ereo5w/p
-3VugN2bN57pL8B+9O0TwZ9X9VIWN9ftjfWdXxT/L+C7TPWs6+Wbqu9OgmQj2
-UFiueHfBIxRuVvxw7mSsZX10O9XhaejvKm++4NMqq6I8CwTvqJle31p5R9BO
-pR2mtHuU9q/yD836/rQv9zXBTfX+M8pzvfJ8qzBCfbK64jXJ2lysclYq/TKl
-p5hjFa9L1sjtCicq3kfw2IrX7UDBCQpXKX6NYElh+9gDr1W4WvGDBTfQ+J2r
-cVy/4DsMd5njwbv07CR4FYIb67sH67sfsI71e6DSjxA8WuEExacIDlGdDk0Z
-Z9uEexb0PHA/PRusPGcCFZrGnn82344zgjXeKeq8nb6zl+K9BQ9XOEXxnoK3
-aLB/0r5yjuBGKveeqOfraeOWrwm21/s/NXhcTq64nFMqPv+61/k83FzvNBfc
-jLWucr8BV1T/nxp7HX13W7SL9l2ufv9EeV4U7KT8Hyn9GMFR+j0bnFdwgfK9
-r/TnBC9Q+FDx5yvmNZ0DvwY6pvI9BC1acHuN85+q84GCV+n3g0q/UvAJ1akf
-Z47gOP2eCz1MsIfKOop9l72w4vOuKlivtdES/Czv8xlaJPjAenpWjn2S/Xir
-lGnbG7Dnxt67o9rQlTYK3l3x/n5iJcZJ8TME11YoxBm6TPX4RfU5T/HfBO+F
-HqswXP2+vsq+RHC9gvnF8I3XqXgfblIxPXMa+3DWuNP+CdMrNq74TDm+4vOW
-c/cVzjHNs66q1/o1n2mr4lyDZ7uB+nI59DLVZ0O9+1/VdLypQbv7rGy67SLB
-zxXWj7Npmb69TOnfZ81raAKqrH5bojwbNXp9sc8/XOd79m/KdxF9lfM5xblX
-Fuyosm5WOSvY++MM5Sz9Qb8PUJ4d9fwv6JWK76W6LVQb1tJ724OPwC/Tuz9C
-p1H62krP1MwLe17hZ4WXA9cYFOcZ59ov/A6cCtxqedZrZ4ec96JnVeY3guuq
-rM+Uvl7N7Xgo7mnsgRs1mD+4acW41afMO4XVSr9fsF7vzKLOFbfxQsV3E/wd
-XiP7TM70JepPO7I183Dh5Z4Ta/OQtHFC+py+50zvEmtwE5UzQWN3uuAAlXUf
-613w47LPfXCeXRReaHAfUr91Ax94QvFhSn9K8E2FLxV/o2zcMqcy0jXzk+Ar
-/cOhmTMv+zTB+1WnZ9UH94HLq6wv2XOUf77ytYUeDu5Xc59+obS3FRap/Lfo
-G74HzqnnLcGLVN7Lgs/XPJ/+gX9dMO7VkX1Ue/gjauP5gj8qnK53H+bcUPg3
-+K0d9M7z4C2C7yvtA4V62qzfzzGmgieW/Gyy4Cp96119t1PNNHho8chMzFA4
-ROFicJIG56ec77WnfKj4D4JH6J0b1O7+qtvPzAmV051znLuk3msDz0TfaNB7
-twuupTalueMLfqIyPoUvrN9t9M485p7gwXrvIoUPFPJ69pnyfK6whcraSmmt
-Cv49u9738IOUdqHC+wrbI9vBuSm4ecm8gENK/kamwd88U7+LDcYfWsd3e1dd
-t0alL1e79tPvc5WeEUwq7T29V9fgewF73cOCzVWPLfXNrQvGNR5C9oM7j975
-lT1c8EGlXa6wSGF/9c9Reu837QldS+bF7y04E7kThY+gJ6q8ngrD69w31Pd+
-7pnQWvVuQ8H4C89+BL9Rvl7sjXWmb4yIPh+kcmcpz66C50Cj1bcOFDxBdVqt
-uu0jeErJYziO+aa8e9Qbf/lFvx/ROPZA9qNiPum7gr8q/Qml7w/eXjK+d5vi
-ncERFe8k+JvyvKw8uwuenfXc3j/rcWK8vqj3PP1H4S2F9nr/GZW/reBS1eVd
-ZGrAceDdUmfwIIWRihcEX1e+o1XePeCqaucUtbdzwXmRf7ha4fIG823h316e
-tXzDUYKj9c7vKvti1XOk4g8ge6DydkfmQN/dIGs8+hvFdxPcUOEWvdspa74r
-/Nepdeabj+AbWcvgUDd+w5dZqjGaXzAPeX2FQ6APlk3bgs48kLuWvvtX0NCg
-f8HrvDJr2Y9+WfPgmug76wpervyLwOtU51TeZXKm3MpzhWXQO8qWF4JH3EHP
-BwRtd2LcL8YLXgXOp3LurfpMuTnOlYODN3ZA1vJUg5S/heAl4JHK36j4lgq3
-KP3okmUQ4PfB93tez6covjhj3vVL9b7n3KR8fwseWzI/7rwG86GPL3l8wZ//
-UBu6cQ7lLX+F7NVv8EfV5r/iXoms2rUq+8aq71Xco7hDXar0bZjTJcu5na08
-84uWrUK24nrBCQqvKO+4kuWytlD6JMGpGp86rd/b0pZtO0vvXsudERxb+R+s
-WobrNeZ2zFHm6psK/9VbpuUdhWF693S9OxHeluIjFb+hap4WdLGnFV5T2gOx
-TpErQ77mA8G3asZBT6oYD9lH8Q0El9Sbp3xqg3nm7FHQPh/iviD4YMl3Jtbd
-yQ2eo8zV3zK+d7EGTwk6KfTSXRvM14G/w7vVBn+D8l/V9+pyPpvWVTm7N5jf
-PQPeg+o+QfAFaPJZ4z+3lLwPvl+yfBqyaYxxOet+qXB/qhnnO11lXqcynuOe
-rjAxbcj5+E68f2PJ+MnPeg+Bortjj76nZHymicrZgbuFHvcJ+gNyVMhGcZYg
-Y8c4vV6y7Nm86PMvuGfp3Q0F/8mY/9s06/pcH3Uaruc3a885Mue76qAGr/3V
-jIHS9mT/U5uXqfxZgkdoLi7Qe0MKLuOGwKWQAUSuBhnIn/TOJdAsBK8smk6+
-UvAv/b4POkHN9GL2wfuYC1nLARaylpmbH224Q8/WVtpNyj+jZJmHewW/Kfks
-JL5O1vGdsr7rIzu2A3x9Pdslyl8U/Xl37NPcz5kznPVvqT5HqF3T4y7PnX5m
-yWfUrJLlgKDH5xq8VyPPyRpYp2A5K+Stbi0ZJ/iI72gNN2VbE/xPz5/VnnQd
-tNWS5UyuFJyssVisPpmS8dnDGbQ35whrW/HjquapDYJ2UHM5rVMua5X68SvF
-/xDcTflWKf+xgh0VflN8gGA/1W/tBtMbGMdZauNOgndyvihtlOrQTGG+4hvS
-T5wBiu8uOJD9SOV0qvrcBN/oWDLfrW3KfI1d4zzdTXBOvWXz6LvBJa816CE9
-a5bt2175u8DnUHpXwW3UL+smLFM0NOgqnJV7xpocVnJf0Ccngs8nfUeGp0Kb
-Oke73lX5m6tdpZrlDZDlfFdwmL7XS/W8puA1wvoAj7mt5PXymeBH4B5694GK
-+XdnK/+rBe+j/8U6fj/W+JQYW3C9bWNuMceYl8iEpiK9hd4fpvYerLL/Utsu
-UH27FTw/mTtNBP/Wszn67s7gL3EH5y7WjDtD3JffDLoQ9CHO5/7ss4InlYwT
-ncp5ovJ/h5el8i8OmvYJBcvQIgvXWfBDvfO08v8teGzRvIxnBMfq2/ms9/YP
-MpYp/Yu9u+y7+Ydly+Aii4uM3O15yw3cJHinvnmHwjCFixWGB738AoW7kn5+
-ocJF8Zu80xTOizw8P1/hdoVz49lDCpcpPAyPI+9yPxN8XHB00nzNC6O8C4If
-MjLem6JwVtLyIkOi3NfiO8PiW3xjaNRhn8jLO8gqzwV3FRwMLqPwapQxJOp3
-ZnzjZYXboIXEszuivGFRL9p7d9KyL7ckLQuzi9qg4Uzsmnf5+8U3yP9m1PHm
-pHmfC+O9M//Pt4ZEWyZHeZupsNejftMiP3lXUV7ee8wbyBIIns3+nzRd+Jmk
-6cTga/BRn4420Q/MoR30bMc6y5Fw3nFmzxf8Rs+uUniM99KWWekp+EZ8/45o
-xx3RlmZB89lV8ZuS5qu+mDRveeM685OhnbRSOEKhHO+QHz70C0nzrofV+X3e
-pd/+ULhV4c/ol9ci/dV4Rt+xN9CXY5LmjT2h0JG+VxiYcFl317nsRxQfpXBl
-0ucM5w2yd8gRQsMfR59oXnxaZ34nPB5kRuD5QOuBBwRfZoXC1in3L306NfqY
-diKjg3zObUEf+jHGakr0+ad57+WfCJ6b9tofkHZbBin8ljRffRllKhyUtszb
-wYIf6lmS+6Dgfwr/KryrkFPaR4IfJy1f396o9ZpJ+J7S3lf4W+EthX+Sfp9n
-70ff0Ee/Jk37Hg2vK+E5cmv08z5pj8G+adePPXlhjNPp8S4yJ/Ay4QEyF4bG
-+MJXhM/HGt82aMhV1kjC43RswnPt6Jhv8EdZ5/BLr1boo/Bt/Ga/Yd/5GPkk
-1aV7zXjRI25OYm58izEG/9857gC8B0+P/aWj3rsn6ffpC+7R9M0Xeae/l/da
-Y66x3soF8592Kjid+c86QPbml5i7tPWkpNtLXdm72MPeV1n3Cn6Udz/QB+x3
-78X4MXbIFrRNWDYGedKdFI5RWKx3Zuj5h4L3JS179nmM239RxjGRf0y0/eFo
-fwZ5PeV7oM78ePjw7RX21xmwKPQatqszvxq+9YCIk1ZX8L07KXiS4C7QWwKn
-BJ8Hx8wWnDdTsOw+MmgXIisuuJT7GDJ/BeudHKQxGljnvYZ95suU61DS+XSC
-fndQ2FnhdOVdi7u74GkKuyl+atA5oVXWoCHXOX3XOvczONjadZa7SKbMu08U
-TKv5L2+5C+Qn8gXXdbuID4i1T5sP4G6p7xygep4YdaHNlRh3xp898vio/1WB
-gzPn2kffbltnOYs2Cm3rTJ+AdjRK8PyQ20R+k3zIRWwT+Y+Id4DQiFrXOX87
-2pR2euvIAx0JWlRLaD/w3xVPF5z3yPjugBhDZInLwctiLfdDRiDWNs+3jzzb
-Rv2Pit+kD4z6kUa9N1A/Hqj3Wgtuqe9tEXOD+raK+rGe2ynPEvqmYDpMqmC8
-qEWMRRfuuXreLO/60z+NgmfV+e7+lMJaBd/JqwXvY1yJHlV4SX0xAj4+d9Y6
-74Hshfsr34GKn1O1HDm886YKZ6a9/yIT3jloI+hVDYxzYbeE5bbWSXmufhD7
-aiLmGfNt3ajbrVG/jkl/g/KREWVP3qDOssiL4nyYGP3HPIFOjywHsulfx57E
-+XMA93zo8nmfWZxX3yl0TlsOYfu045S9J3fQpOUMoHHsEb87pX0uTUxatpGz
-nfOH82terFHm9+CoH3VD5vZWtTVVNB8B2Xt4+txloH8jp78TazrWZC7WAeuh
-qrA7ayJgOeIn6v1G5pBgn7TTWbM91LYeqtdegsVYrx1jjtE/E2O9d66zrtFi
-1W+P+A591YlxiHpkow6FKIM6NdR53tcr/Jk33XN13nK14CqcqbemLY8xAno5
-8kJKW5E3LgVOdWCM64CYe+AQ4BLIALGPNdG739b5bOeMB696u873MfAt5hiy
-hP0F74xnpB+nz+6usEfC7ab97FulWH+sQ8Z8qcI6St9cv5snLH/8hX5/rvCg
-wvS0eeDwrD8TnB3PhirfeQnLIF5WsAwVslRPRf7psQ8/Xue9GJkqeBPIRl6h
-8A3rA7pc3mdHG8En6kzrWBbv8T5tP6Pg3+RfUmce+mMKz6etK5cTkvF3nfEg
-8KEd1ciLtDnmSuYjwU86WOmbJKyXd2nCPJdDUtZvgU8GDXl11JVvURfkOeGp
-IBu2H/xRxfcVbFTej+pM6/2wzvT4BqV11Zwer+8eg15UyjKW1ZRlwjukTGOE
-Jn6l4tMF31MYlQq+JvKX4KV59zt9PKfO34EGDf15mtr7MX2U9vPZkYfzFToz
-+OJ2KedJp/we77dP+fcaWX6FO/X+LOZn2v3IWHytsFt+jShZ4h/dDwcnLDOM
-7PCS6G/yoCsEDQFaAumLYzzujPmBPDzn/gNRH+gEtBMaH301I/qLuQq+wtp4
-LO11cangvXXmN8BroI9YU/TZN3p2hfIuSVv2AP0aZDLGFrw3ctdGrgUaKnLh
-HylfU76Ztown9aS+eeZLyv0Hn23TlHltyJRtpPiGKY/lzOg3+Bjoa6BTun3g
-M7SPOT9PZR9Vs3zVVIXbuFNkAq/IWCYIGe+RCkepb08QPEiwkHI9kBVG3uGw
-hOXI0jF2jNNclX+Vfj9ScD8yXtwFmgR+hg7ll9Ee1ivrrxBlTg2Zlimx1lhD
-owQrKfcB43iLfn9VZ7mXHVMeu1zM169jTuSjnyj/0bTpw6+mfc/nvo+M2y2x
-jlhPB0Rf0qef69mlgvfBG9I7vyr9WcHn0tbj+C1tuWzGijHbKXSLdhR8IdY1
-6/tV+oN+p2/0e2PuRWmP1U961ox1rbB/yrzUVWnLshbV/xfq2//WWT4Q+b/W
-CcsDfpf2GmYdTUtY3u/2hOtHPWcLfg3+ozzNM9bZgVaGTvG9MTfROewQ40i/
-7xTzKh/zJB1zpWXcNS9T+BbcS+l/C/6ssv4R7FvzXS8T9z3uAKuTvtcyDy6N
-NYss89LYG9nbr4n9nTvKV3Ev6azfeyb8vKnKf1d5L4I/r99dFI5X2C/uHbuw
-XgVnJo3X7xLp3Eu+i3sDeMFbURdoBgPjnsR9aUbcG+6Ne8j/7uKnpH1+g4eP
-jfOFc+bLuDctUlgSd4S58X3q8Wk8mxPtIdA2aCyLIz/vHRj4+QFpv/91pC+O
-d8i/LPCUawIf4V4NTvJY3IvA1RdH3oejDe8oTI/7DO2ifdy9/koa1+ym772t
-+OFp743si2cnPF5vRj9xV+WeiqzJ6ugXnnHOr4qznrL/je+tjvLfiLS3I/2v
-+Db3vL8Dr/gz7nDvRh7u48iKgpshF4msLrjekrzv31+hgx54Mvgy/ZtnLiWd
-B1zza8Ef8sZhv4r3Pol8AwM/ZY59k/cd/cugiTE/4Ich4w2+gSxry7gXcBdY
-lPe4fhl3xs9jjBmvUTFm3CO/iGer1YaHOB/T3uvZc9lvj1NZb1GXgtccPOj6
-lPXwesY9H92QOwTXSntvYo+anDYNFrz5/ILPctYN62du3HO57/blPiz4L7z2
-vJ/tkfd+BD+O/ekLlfUAZ3jaex3yoex3Q+Pc4fxB5hs6DvyIcxPWtRiSME4C
-3Qu85CbsQmgv6a31vhFy9sITuoT87BYKPeHDpY3fwcueWbBs1UTB9fPe8w/l
-DFE4hX0s73sAOAv3jQeRw1D+OWnrryCnynkIf4R9ET7LqmgTbWPvREZiZZ1l
-Wcj7YuQjP/ssOC53b+6j1bgT7VIwHkwa92ZodI8mTTv5NfZ+zlXoKmOD9nF1
-rDvW3+5p52f9/lkyL/rImvk3nB3s5WdEP9PfyHJQpwfS3tfAZzslLMuPjsCC
-tOkO4JDQWm6IcigPXAOcgz33mWgzfKNnou38Ru6G8wiZX3DP72OuLIjnK+pM
-3+Ab6Oh0jv2VOqALCE0V+f6f877Hrsp7DKGBsi45x5mzPxS8RrvGs1fypiW/
-lPfeBO7PHYA7FLLx4Prcq5Ar527Fntoh+ny7tGmC3NGeyZvmMz/v/W5A7H/c
-DRclfO/iPs6dBxrjw8Lf/oI/gv5v2rTddoJbowererZCT7dknY8vg2+FPshd
-gi1L5vceWbL+DrRS9L2+SvjOAz0VeSDkgvZKOw36KunQpdFtgWbcX2thZcjD
-oPv0c9I0WnSD0N2B9opM8mTNja+qvgOyJzEfue/SNtq1FfiX4NasTWSDVM8+
-gpuWzT/FhgC6B9DaoXsSbxq/oa33UNg/aXkAdJaPKJuOCD0R2jHGUZAXQm4I
-PWV4dtgWYB7Q7j2S1pXqFHX/N2SWdipbRx/aN7J40NG7x/eg33eL37WybUys
-JXiwwpUhX/FW3vyGtwWrZeuy94w8Vyk+tmx9SujH6MO1jXFkPNePPqav0WOF
-dsq5BL1635iv8CA2iufQeqGhwgPgvOasRk8DPLASuCC0VO6YO8W7G8b7TeI9
-+uxkzYn7NDd2FmyRts7OhoIXI2emPqyv+Pu81yzGgjHZIN5Frub0kn+jN9I1
-vnVWjNl+8R5rjTaiNwOvAnwOPQx0PNARoj3oRm0W/bxp0rqoLQSf5f5dsvzt
-xiXTztqZ3LImf/d4h7P6pehH0prH2B1VskwE8hidY54yXzdJey9AP3ij6Gf6
-FvlhZDOal6yziB4v9WDfho7DHLm6Zn5bF/iYedNuZ+VNnwU/gc+Ebgr0VGi3
-4GTo3cBjeC1v/tI76HHmzQt6Pe81AR37f/Rs9HH+R8NGZ290lEd9RkW5fK9X
-QL7ZM2ndIr7HmY9c9A/Bq+0TZbCn71+y7Qj0bqaHHBfyXMckrZPCngRf9Uq9
-u1fJe/9RUbeZwauFZ8seAr/iuajTkTG/2RvZ09CRycYeCG2ofcxX5mo7+Noq
-v23J+yb7J3vsY9F+2r55jCXjzN1mrZTv6Edqfj6tOkwumweETmKnGFd0Ccdx
-1iSsI7k84HOJ/69HSPz5hOc6c75p2rpd6J++qHBL3vqR1+WtX8iaQd+0rb43
-Vd/9peR5y5xFr2+f5P/XEVw/5jjzEN3cFVEmtoaOCPmrL0rmMbNXvwRdI+H1
-syLqRz0+LZk/DN95edSZZwv/T150pl9JWJf8pUhfGO1cL+k+ODvmNnsK/DT2
-bPbuu/LWb7wtb3kS5BOwO3V93npgdwr+pt9nK/0JwXNV79eQQSpbZv5M7fPt
-FC/Wmx7fUeEV5TsfmZaS9a1/T3j9YxcFfWH0hier3NVKnyZ4V812WHYvm4bG
-nsTe9HbCOlDoQsETOznqPjX08W7Ouxx06u7IWw4YWj26H+tpLBckPKa05ecY
-R+yXcLf9Mm09P3STmes35q2Td2eMOX3Kersl+od+4t6Avhy6dOiFQzvg/jkx
-8L0JBZdFmXclPL7HxBmBTCyKDxcK3pD3eNHnG0c9WqaNL4A3QE84oWwZE2xr
-sF9uEPPpmEjnOXv6+nF/YGwHx/iiF89ZtVPa+wz8MHAV9jx4mOgJ07/MW/bc
-JzO2MzNP8JCy5f44s+BJczfi/gjOg+4h5xp6SU9qvFagj0n9Vd+cYC/aicxY
-2XpM2B/5vOp9AXyCfYLyH1Oea8teq98mfP7eFGuZNb2YdZk0fjEXOUnk6kIv
-6RnFV6rMgWXLZmFLBBny5YrfKrgX9pk0FntmrCPG+cU5trfCfcozvOx2cFeF
-D7ibfk9XOswO6LXQLaHpc+5zboBrDA14gEKnsnVn6sqWt4BPCZ50UNI8ffIO
-K1tn5UWN/4GRdkCM4ZQYx56xVx+S9J0Tvi5nPbaksB+1X9l1OCf2voOjfL6D
-DCcymd3Kvn9y5+S+Ce5Bm14VnFbwPgnt6MjYlzkzHlQfTlAfHl22zsLDKufq
-sm1qXRnxYfEtvnldxTp6X1as+zZb7y6vuj30CTjY63F+Lcybvg6dHZo15/Wc
-lG2+sYc3j7aMTLvvhqSNo4OrQxNqHnxD+Ifoo3CWvxznCusfujx7A/R1+MXQ
-IaGXg0P3CJoJtBN4SvA3QQ7A8eCxMte4Q0KLgV8D/ZL3efewtHlMh6YtFw3v
-CR7U5kXfbbsVzSuAPwa/AL4SPOj2gdun41yDPwlvAh4YdwrgL3njvvnoF+6D
-BydMM++dNp8MPh08MOqbjPvXsXEHaxf05qO5W1XNK0Hm+eS0eYrwTc6qmg69
-UfD0oEfQ/i0TpmNCw0Q/C3bGjnnbZoB2yT7TIm86ATw19DwuSpjvclrJctTg
-dZSxdcL0UPLvJ9gt77Fj3KC/bpr3/WpfwWNC/hM5UMrrHmVuGnzVRMi8IQOO
-zDw0ruPjvIaXDm0F2swRafPXj0x7bBij89KWI4DGAn0E3SVkpZCZQn6ctcD7
-6A1Bi9gweHa0EbrbmronbEMD3iB7F/zBzRqtJ4OODPZyDkZGtt79uXX0KXzD
-1jFG6PkhfszdHrkP6BXcA9lD1k6ZbgtvBhramXWW+4DvhywHNBieoXuDDbav
-lX90yvw67oboBsNvVZPW8Hr6pc2Hg0/EuoLuAj8IWgz8QGhqjwTNubnm6o95
-z8nv86Yv/Bjfhv68zv+pM/UFR/s6yoBnBu2tS515hPDP4KlBb3si6kzdodXB
-Z4N/B54GTQ5aAjgltCV46tQZWxnInHwTeeDVQSfkPfh8j0d+3qNNX0S7fs2b
-P0f9sT8wss52BrDTRXvQXdox2oIsIHWhTtQzVzBPnXXHeoXvnYpxaxVrjPJZ
-R6ynVORhbJF/4b6ajbwtYx9pE+/XxfpvG2VWoj18OxPv8y60ONY7ZcFngv/D
-nrI07zzLBZdFnLSVeZdL+rcF80o21Tiep7Uxt94yjT3SpsPuHzxS4oviO9AH
-2Vt+jHIorxbjtiTGl99LIh/0POYROAN4GfezxSEfi5wsNBTkh9grwcXRnQfH
-4D7BvYI7DLYh0OP7uuD9BLwFfjLnJ/srZ+iBcV5x/nEfLQcPo4A8aL3tkXIX
-Ac9CTg/eJvfyWtIypeg4lAV3ULhH8e1KtikCHsh9A3oLdwtsC3BnAY8C/2Id
-7ZI0rQE91tXYqKyaBwHNDHoUcuCP1luH9/PoD/plWvL/n/lPRpmUzb0H2w//
-u5Nxj+Ju8pTe79pgu6zQNJnz3LnR50fvf0C8f02Ux14Jn2p5ne8p2NLoHOuL
-eyF3IuwfDIx+p32UgS2Bz2L8Po3yB0S5n8dePjH2jl2iD7iDcD8Af5wT8wU6
-PncC7gZdYl9gb+JOe0rBPMlDCu5n+virhMdgdsjrQlvgDsb9CzyWO8u4vO9B
-2E0Bn7whaRwOmuxOJevcQFvg/sQ9CtyT+zLfXJD32YwMFHe4s0LGGp2YKxJu
-C236DntPyCUrfani7RVvUjIODH3jh1h7rLmdY2/pG/OVfmQec7e8O2H8Hfz8
-tYRth8E47ZWwDvjm7Lcl602j60Fe3rkn8vWN+QrOwlyChwW9cpPgYe2j9uyt
-rF3ztm+CnZO7BfuWLNuODkXbKIM5BE0BvAz7FeiVX11vPaauUU5PwTNKlgFG
-np9zGd2rOwX3iXOsq0LzvH9z/mIrCVkwZGr2g9bMHMjbhvD6DdaPhp/5ZJy7
-tH3TaD/nOOVtBt9Aa6anzsOvqz6b90z4rE7GHkDfQhs5MtqAjbDe8Rv+D/cO
-bI88lze++1TetnDbhaz788I1P1I8W/Edr3+sAWStkZdGxw1aAXct6AXcj6AX
-QfdH96NtyFczR7C3xnqHrkgdsH/F/jAu1lDrWMPYgnk5b9z2qaDVUDfoJ+ja
-IJuPPsVjeds0eT7v9X50lNE2xq1NtIv97fG8deTRwx9SsqwjsrodBOflTQN6
-Mm+7gtjEwzYeejXo16BzsWPgEtjURe6E+wT3pf/iHs19epLe/ZZ+g26g+fQH
-OFHNeqboaKOrjW1pbAOMh++Zt5wS8jP13NuV3qbkedIp5sNz6HQofXjGOkln
-1NtmYnMhRuci+45+YdZ2MOqz1n/CLutUhYlag99obr8mOK5oHOYVwc2Ubwhy
-7YJ98qbPYQcD+1fYbrk277qBE3YXfCRl+6jYjvwdW5CCt4Dn5t0f6EFsFLjp
-1nnbht1HeZIl61KhJ7VVybIoBynPwXnrCKArBs/l1nrrLmFTuFXJekipku0M
-d0UPSXDroI1DIx9btIzHNUXLUiQTtg2OXeVNGmxngPUxU+EChY+xNVdvO730
-8xDF6wTvUp/2QLchY5t42Dx7OG8dA3QNHq6aDwWPfO+CyziI86jee81ZCfMo
-9ywYb8L26e4F42PwcToVjK+hx3p6ve1AYu+A76PDji775fr2/oJXCK6dX2OG
-b41d66kZ2xDGlvBFiu+l+B2CpbxtimMXmr33odh/0bHA9vUohW3qvUdxdu6Q
-txwj+uzI5u0WY9oy1hnrbbu88ewtBDfJr1H1TWyet80y6HHXsBbVF2nN55Or
-nruPhR4W9C9oXdDoHstYHxm9ZL7LfWR75lfeMuE7582b+6fOMjzYRoN+hL21
-WaF/9AC6LRnL7RyTsc0X7jbb5j3fNlC8QfCHhGlmnJND4rt8H52XeYr/ovI7
-6vclKmdXwRZahy2wtVIzvWpKwvb/SmG78q2QRcQWGHtzrWh5i/fA9fKm23GG
-Eod+d7ngp3o2M2WbmfQb59LG3CX1veEpy01h7+7elO0cImPZIeZ/pWiZincK
-1tlfS3XbRPBHpX+n+q9b8lhvpPzFvOUJ4fUhn7kXemoapH/Qw1P+j1XOCsFn
-lNaoMfoNOwTokgv+W7P9e/r24Yx1FhgLxuTvqu00DFeeR1lHeneZ4N76Xa/4
-AVWXRZl/ot9fM011D9VzLpMEWQbBbxXeUv0vF+wT84+5h4169Ex/EOyQt6wG
-9hWOrrdtVfS6mfObsK8KPsR4K20SdkQKlkFEHhs5w46xtzyJrY602/+4Qh18
-SsH5Cg3IfQjuU3If0pcPqqyjFL8GXZmc2/VTzvbyzo/+Zy0OrrdNCe6d98WZ
-fWTB/N0OBe9PU2KPYu4tiPlHHni42EmmjamY5+zDt8ZevHfsIV0L1plCP/Ao
-xc/LWD/lfMHDC+b58i30Tm8JPiB2xdHJHFCyrDJ7C3vMC2rbML13Wc08gi9S
-5rmcpW9Ppv5521Vhv+lZso08bOUtEHy56Dst9sW7hR2JFtih0e/nWL/wVYq2
-i846om7oE+5Y8L7P/n9AybbywBOx6beR3l8Pvo/gSH37FvbevHV5Jyv/NHR6
-C+av7hjyftPqbCPl87xlQ94VvKdq/dpRNdteRP4ROUgEK+9U+hU1y9sj94DM
-PO8i64DsfZ/A3/pGP9wadQCXgIYH7Wtaveke8DP+zVsW7p+89ZHQG0AvYK3Y
-t9m/oZO8HrwPxpt2sSe+krGdgZczHh/0Ze+o9z1oer31jtGbRX/2Ln4rzKi3
-HYGXMtavR+8buwnYT9i4al3hu+t9j2KtQMthD4X3BI4GHwr9KXSRoB+iX8w3
-BpZsSw2+e2/kMgrmr6PHeTg03rRtCo2ot4+JQ+ttT7i14DdFy3bcoe9UkMsq
-Wn9/SdH2XJpH/6A7yPuH1dsGDbQ/ZHGr+vYRkb+b9oU5ass7Fa/vq2KN45eh
-jeC3ghXlP1zxRUXLR9+fsN2S1iWvQc79SzKOM97TYv5w9oEfdVPozj2zEHK3
-0KlU1vr19kdwnup0o8obnDdda/9Yz+BQtwTudFas5b3rLQPzZp3lTj8ouvy6
-qAM4zKUZ4x/gIdjwv1jl3qDyzsjbDgL0LGTgh7Em6u0PIFPy721LlpHjvEPG
-5k6lDVU4r94+PBbG2jymYHoO+wM2q7HZjG3yV4u224/9/lMLllvtWbDd7PWY
-c0XbOd+/wb4kemjt3aH4loIv8BtetuCYjPv8PsErM6abISszk3MKXEFwh4Jt
-ftGfF9Qb17kw+hl74tiDxzfDZTF20NjRBcbW/t2Bw4DLIGeDnwtoB6/FfYyz
-8yr4FqyBTOBkCdtgPTTm1Ij4HvjVGtnignUY0EFBl2qNjht3gbxxDXBU7NC+
-kbB93TuVryu4Lvc49d2KsInxS6Ntg7yAXR79Xi7YrmqaKPdCbE/PT/hujM1d
-7oecy8jnoG/7ovLvKthH4cew29BP4aewK/JlzmUuytkOBt/Zpeo9+JY4I5CV
-hZ7wieDinPV/vxLsUrNdo6ryn4TMRpzp3Ef3U9g35bOKM+uXnMug3t1SPvM4
-+1bkTMdBz6EL76icvxutf9pZ8amKd636XOd8X57zmc3Z/X3OuMR7ylOs+uzk
-DF2Vsz4x9nZmox+uZ6+E7R1scmJv+n7Bsfre4ynbjW2TNk2oddp2WZHX/LNg
-3j08f+w/095fAyd5Qs8HgMOn7FuiT9BFd0ybvrRD2nZlkfX8tWCeLTxT+HzI
-52BbslXQinrEWHLXwQ7tmJTL+Tnqwxz4OeYB+tQLsUtVtRwTOB50gckKg5CJ
-UngJfD5lu77APePZLwXL8v5RsPwqMtfYV8D2JHZZq/W2o4u86SrBQVXrEKID
-yN2rX9CQwZf+Ux2WYrdR8F9s7DR6zjBfblY4V33xivIeIXibyuqo+HMF62lC
-h0GX8H7WZNwxkZWlz5GP7ZW27BC6nCcmzA8fn7APh07QtdIuE3rf7QXLMu+S
-ss1WcOBHAw9+nj028mDDtxx1uDJt+yvoPWEXeP2gn5yt9o5O2xbumdFve6Us
-o4MOAPIY2Mu9rM62at9Jmw7/gWCzgvkG6Faj54MsJ7rVTYJOydx+MepDvaCd
-tAv6CTaK90nZFjGyxcjJzRLcPWUaGDw2/N1gUwjbQn3T3m/PEvwsbTvkGe1L
-a6mvL1L83oL7EH5Wl7Rlr9FjQJYNGQLwnmsTtnt/ntLfZG/OeQy/EXwo4qS1
-C9mhrmnr3bOOWE9NY42z1pkD02IewP9A/g3ZCOz+wGvBBs4Vactnon++d9ry
-UdTtvbT7aIVgEh1yxeszlhOG93Ry5Nkz+hl7aMhmP16wXtVlaevErUy7jxv0
-blXtulDx6QWn7xXld4v9hz3z8+g3+m+7jO3AHyD4PudH3JvahswG8kqtYs1i
-b/xsrYeb1L6LBM/Me76fL3hqyvbnmaNcSE+qN41ij0jH3i5+k7AluHa97cMj
-t4DeOrIB2D1HxoC5cE7K58EZsaZZv+i5I+twc3yL72C/+/SU1/mg2HOHpFwG
-fXZmlLFvjNeQmNNnxbOfo19+SdtezdpxP8WvwVClp9WXp+v3GUofmLeeAnjt
-yXnPG+ZPpujvDfk/9QYOVhia9x1/dN7rErota7O3fp+k3yflbZec/Z+zD7kL
-bBkjs4EtAfiD2J/CRsf39bYPsFfYo96waPvtM1K28z8k2ogvE/QB/qzzvYU6
-QGueEufvmwnbfscGO7Rn7Hjjv6F7tOW+lO+k2J87DTqC8pyT936MvAByA3M5
-E+us64c98HLQmXNF9yf99kzcs5grg2I8GAv8AWArGj8CQwKX5w73SNA17slb
-vhf5YPQjqAf1QeYVOhW8W/Ty0GXA9g6yx8h5sj8hG8b9ZUrQPeYV7fML3197
-5r3vIM88JG85537cSVO+W41TmKhwvMIJKdMxTtS7e2BzJ9JOVPhP3xsvuHXG
-flSYizemTJe7rt53MWRjwEvWTdtOPmNfTdv3yvWUAU1J+8j1Sh+etz3/EdAK
-BG/P2G/abRnbRkbfBpvhz+dMw1mdM90EmVHuspzdjMnmsbcgv8P5i13+rxNO
-/zNt+aG+GfOxoc8cpVDg/FGectp0uf60WfvJ+qrbp9gqrJo3Dr0O/jj8+iNT
-5p2dVg3+rur/dNU+mm6s2c4zvJfBBfcLaxQfFfinuC5lHxng+bfHHsJ+clvs
-IdfGGJwQfXpqvN+LNa88A7jfxXikBDdV2LHeNCL2oqlxd8Y2+BEp236nr+lz
-/GJg85/9AkJd66Lte2Pnm/7sEn3aKmR9sfuNHxT2CmxB4w8CXgY+IG6OfQe8
-o3/eNvhZ403rfe/AJmO7vOUD2uadd1DkBw96OXAh1hd8klO54yqcrPiJedvN
-glYGjfXAvHkIg/L2Q/Fa0K+4m94Z99MX8pYTeTRvO0PQYLn3NmhchmgcH6n4
-/sY97qGi7UjVK35Exj7ISkHDwT7u2WED8169M7nRNoI2q9mv2S9Ku1PPnlT8
-rpzt7J6s+EWCbZF74QxVnvsVzmi0/Zani7avi6/Dlticgt+BvUTuzIpvU7P8
-I757oC3hv4yxwz/XzQrrcucveq4259wW3LRmO6h3qpzvsd+q+NSw+4qN1k1q
-5rfAd5nFGtHvoarjomjLEdiJFKygX6T8N4RN1+MVv1XxzVS3vo22y7QzNqeU
-f5niHwsuwc5nzj6G6lS3R9ljsD/G3aBm/4XQcmcLdtbvH5S/rco7UuFz5fmj
-5jsd96bRGfstSrL/FW2bCD4FfpSwJcY+fg70bT3bSnk+F9xFGW5vtM3bh4um
-jzGm84LWBx1xrNKeUPgoZXs2rzMWghfX+86ILPLcov3W4b/u7ZzpGG8Ivq/w
-FXQA8FuFLxR/PWdaQ+toFz76oBXOztiG3qt6vodgS6W1qjdNoVPYKTq+ahm+
-aQnTKT5U3sVKfy9n34b4Rbqfu61+H4itTsEP1OcPN9ru0z569gNneMa0rxvq
-zQfhjrxV1v7CsC+tvzX0W+7d0N7hmzSNtYid1IVZ+017QfBsPftZadOK9lWJ
-z0pkI+HFUP4Wgg8ovKf0mVmXAY0CO6s/VG0D7u/gU3Afho94Vdb+1bCJd0XR
-/uAuL5qXlKt3HLt/yP4hp4797yYN9kH2V8k27fB1NbRsG8vfVu0/7qwG+4g8
-S8/3a7AfNHig8ArhIeJPs5Cwbe0/svb/uErwdOyINlhH4AZsDKnM6wRvj365
-TXATwV9S9pf2mfKN0nvTa/aXh3+0FyumB0EXwkbiwpztqU7KmcYK3xN5nxug
-e6fsJ2uInj2mPB/lTOf4XunzUl7L8EEmw4NS+FZpE9iLFFakXJ+N9I3+evcL
-7MLq99KU/XDtim1klfeDntdUzzGKf1/z3rBMeZ5O2e/bbyn7GvtEeS5VW+5W
-nmbKs5HCSvDCsv3T4aeOMwu7cPj9xH7kMGgFOdPV1w56fg/11096b3/B8XH+
-Pid4fKTzfJ+a191B1eAPJ9w3G1ZtP/atin0Q4oswL/i3fr+meAdo/Iq/3Gh7
-a+AnbRL2l/tJlAHt67SKfQBgp67go2uNzNLJGdOs4D1hhxl/lLvnrC+1ZdBx
-4A1uk7BNup1z9i+wU84+y6DnfCp4it7fTPGTYp+BpvNZ0fJX8KrUjDW6z62h
-Bwlm0+YxIY/aLGebk9jCxX74hg2WcUUvFLm6LQTHRb/tlfMdm7v27pxbVdvg
-vbVqun33hGl+p8a4M/4PqQL7qM5nVWzrnfrTDmyDr4QOWLWPTHxl4h9zaMb+
-ucBzXsiYXvxixnRB5gBz4QC9f6zKOZC6cyYofrZgs6r3QGzi4pcBPw9HVTwn
-e7Av1mybHfv6h2PLWSGj9PeUthW8E6WfI3hD7Jln5Oz/jr7F1mJa+T9Qew/C
-9m/Ve+xHFdsmZk1tVTNttFvUE3omPEZ8tMLn5Bl+404M29TYY/wonn1Y9Jl4
-qL75IfYJY22TvlWUvzW8JD3/nLmUM82PPPjnOzVj2h1z4B29s2G9fcKiA6Lo
-GptA3aNe1AGZB3TNkFHcMm87Ri3zln1MB86ze8Y4Y6egK24Rc/LGwKtvFtwt
-YzwUHHtR0HLR+9ta9dtO9WyVswwKsijwodbYgGy0P8zHgpcETwn+GXcE7Gq+
-H2fHWGw1V22DH58R2PzbMHCqG2O/Yt/Chuie9fb5h53qKY22M8+ezZ4JfrmN
-ypkPzUfpzdmjFe8GL5X1o+cLi77zsj9jP/+poMXB1/oSvqbSP8/YZi329rFb
-e13sgeyFyBXCn9+NNatyujXY1+wd4EtKm1a1f+fLUvbrSjvgLaLnyX5+ovIO
-Vb2al20fcmXZtrT3Vz3XyRl/Yq/ETzG2t/ERuYIzAto4tPmabWf+qPQfsCWb
-s+9pbH1fnDGtHRkGzpctVOZGOfs4wdcJNqIPCXyVPuas7Brn5ekx307J2R/y
-xlHnZgFpw2ex5+BbeYjK/BkdsYrpqtBXsR+PT+c1/p6K9jXJngRflT0MHVHm
-19b1xj+glV8a39qEu6veX9lg+5wXxN2KOxa8tSYx9vhrRn0AP7wd9Gw7pY3L
-2PfTrJT9QeNDDl9yJ5dNcwePgh5+Z8hj3I0dwZptgGMLHD4r/NbZvKdneyn+
-nOC9+r1ng2Xs55Z8RnNWsz6wgc/e/UzJtoixtz23bL/kv1ZtQxv7ij9BG87a
-Hzr4zPEhs4MuZC/V6V/uGxnrfcGHQr9/q5AbQk7iinrjqMgdfJe3/jJ6zPBb
-kYeck7F9TXhJ2InGjje2WGsl25GEj4CtaPxOwx9nfeInAvvV2LFGbxrZS2Qw
-sZ27X53tuiBjh/4vfEHsU2JvFp7WK1Wvie3V1kb13baN9jvD+k1xv1D806rt
-Fo8sG1e5QvEDIn0k+Bpnq+ryT8rz4GGlPak8o7P2wcM8mRH7IvgO+163kPNH
-3h6f6fgnzWXdv/TzqXr+Y9U+OA8vG6/AV/iIsnUxwPfwfYO/Guw4z8E+pcp+
-O+W7Vr3m/TaN9lvDmLyVMg79cdW+2Z+s2S4vuP0hgh3QeVA5F5Ttq+V85Xmi
-Zl9C0Ojw2chdZqzKbFG1H5e7Q6cSv6fcofAp3DLWA/1xf+DYszKW3eS+icwd
-+Dt8fuztYhMGu94dBJ/OW64UuSxktA4I2SrSe4UsFryfGQnTwhg/+D+M59SS
-eaTYwMTvD2ofyJBw7+DOwTeQzccO3XCFo/PGn7nbYv8HmtK3gpdX7N9kVMW8
-V3hL8F+nwldTO0aoD7Yvmd8K/7R9yXdh+OzYWkS3FJ1fbM7gA2tU0X5RNw3e
-B+uO9Xi7yns0Y7s072fM+4V/xjfnxZ2auzU0Y3R54JfjT3PzkDVCZ7JF3Lvb
-hAxYY9QLHiL8RHAQaFxraF0J34XQa3o5eF7wvtADQycK2bc5Jdtax+Y69KsM
-e2nJ6xT7A9glwH7st/W2t3pp3HGRjYXm0JiwvA32nJELpb+wT9o/9rQ5scZ/
-zng9s67RPVyn5H1vjexK8IXhD18Q/U+f0OfQG+CN4idlSJ1tYmcj33YxFvDS
-txE8r+yz7/yyy7goxpEyGC94qfCUsVGLbXPs6WEbARsJ7UKWrFX0J30Jb/0P
-/T5ecEHJvGd40MifosOEPWn8Id9Wto9idHCOKtv/Mn6Y8ReOvWD8dQ6NfYj9
-CF9b2J/Gvw9r8ALByTXLIKIHhx7d7ynrLaxK+ZzlfFwO/7fe921kifBtgI+D
-H0q+W3LHPCfuJbyHvgO64uiM4/MIWRfu6StKpuMyRh+m7KsHW+34OsfX0NGK
-t89aLhSeKTRcxn3TGHv2k3sa7FsZOd6+7KtF66Agu9wiYfoCdIaLin5GHnzW
-d8zaDnOHrOV+mVsjiuY99wgdq89L9oGAnWdsA6KHuEYfUWmtlGfbrNdyl4Tl
-afGXtVTPT8ra1zbyPCcIHlQ07Z97H37YW0FTFbynbN2QReDgVc/rFmXbhUTn
-9JuEfQn9VG+bzPign9Bg3Td84yI/g69qdNvxl3ES+mjsr/X2k74i+nlB1XxG
-eIxrePMJjzHjC54GLocc5pyEbdK0jn3uo9jrsHedDtlg9EaxgY+PM/T7Vujd
-WzK+13wKfoG8atV+PeoU/71kH9YvxtmNrW98Pj8S+PUShb+KluFBlqcUMlTI
-Uh2VsZ2fozPG7cHB8SOd1vmSafQ95JA4R05DzqZiHwqPokvKedlgvzx/QoNS
-vKLnq+kLff/Zmn3KLVZ6MWc/H/j7wIfIh1Xr2aFv1yrwK85X3kXmDR9k+LL7
-SnnyOfvbbhdzDNvPg5W+GWVyLjbYXwjrcbx+P1SzH7Z5Sn+EuaF6/6WyDxb8
-SL8/brBfOu5Pv8Xawecd7f2jGm3R8/k1P1sV6/PtrM/QewUb9KxB33y6ZnnP
-exKWNX9a5dSpnHlln0OcR+gU/KUyl+jd98u2fwKPAF4BPl/OAAfLGrcGx07W
-7Ccdv4oDi6Yv/Rm0F+gVB6n85WXTD/GDgz8czppxyj9XsEvVdDzoeY31ptUx
-R9cqmV4K3fSSuK+wt+PnjjpT96UKm7DR693vy7a3j1+548u2l3+34E/QshR/
-SrBNxT598O3zQcg5I+/8d9Z+31Zn7QMOPBN8s1Xcv/YXvANdS8W/Q3dY4Xv2
-mapljdmP2IvY+8ZGG/pkfHeCtz0g6GDQw+jbxfrOUzXLkmFjH9vjxyasozo2
-YZ4vduHg+37NvGAON9gHDT5u8BV1XtX2cB/Uu28r/KrvnIAcRNnzEP9Q2Mrm
-vWtD/5J05nR98FjhHeDLG5t13xTsP526X6qyr9M7jzdYx/azrNfLF4JZvTMM
-3lbGPE/4W/C28BNMnYdDZwv93BsFt1W+l5S+bsb8e3QB0AngbOKeNVXw66zn
-26Ks7dvhZxk+Rxu986LebSJYLpq/fbLaeHXV92l4NHOoV4Prhw8g4vjMGpQw
-vxIe9+XK30r5T1X+XYvmDeLjknsb44g+MOuOewc+uPBPuFnQYM9XvjfAnVTG
-y2mf9cjET+NMb7R/pW0qjpOGbTfsz2+eMX0MGkK3jG2PXAuuVfZv0rmvfln2
-2p9Cf2ftp+yxrP1R4Zfqu6zt/mFP6ljBS/KW8YFXslLPNm00XR5fndiHX0/w
-eaUfDJ+CfU1h80bTDVkj0JZ/jLvYIY1ey6xP1im+qy5FXlN1+6nkdceeAK7a
-T/0wQOlXqh8OzZggspPg4Ix5pUdm7FtrfowpOtLLo12PxP62VPAc/X5d8TPL
-9gWGHzF8Nv2ncBc03or5P6fEPODcGxDrAvke5HyeUZ4nFe5WfH7Fe/sXsQfi
-/w5fZuxdpyp+FvI/QafCzx3+7j5G1iRnelqu4jWer9jfJ34/x1Tsf5L94Tvu
-lvq9qsG+215VuVk9K1SsT4JeSabiOcxaXSL4qco/Nme6MX6o8JmK30nOFc4X
-1j++K/HTx7zHDx/++MZV7IsNH234NsVfG+/iIxX5lxMVJiQ8L5Y2+F73etk+
-LznL7ov20m7kcuHDDhAcUzW+Ad4xMfqW9bVlxrI82JhDVuO4hPVv5rI/xdzD
-piL6ztjdwo8PfnlKZdMxoWcel/Neyl5xXaw71tzpCe+TlIPdDPwInK66Ta9Y
-tnNiyHn+V7HcyNyK23dStBF/rvh1pZ9PUBikPDMq9ueKnzvOvMf1+y7Ogop9
-7f0Kji34GPw5pT9Rsa86+od+2kPvDle8c87+8hhHxpO995rYf+fFvGJ+dc6Y
-Vntrxn4ssFN5UtHpSxSvQGfV7zeZ/9CKFV5NWd7pvIL1cfGx9VS0ib6Hv4n9
-L2xzYeP2dYXXUuYjw9Pbt2ZeJ3dL7EBiyws7YfB8kdNAtgEZPN67LeW9KR17
-MmfAyynLiiB3hW9E+NTYzFw39uG1M/YTgx0rfImOSds2J35H909YnpX7xI1B
-Q4aWDI0QGTdkBOAXw5s+uGh+8rMKzygcljdugXwItuLRhUfvnvOJcwobg+2L
-5hlfobYOTdu+Lfast8pYlq5LJnyDB218arSRtuJftXmD7SHA44IHAP1/gsoa
-qPf61cwffjLmcPeicfRzq5bvA9dFxu+RoDFCa8TX8Z2CO2b8Lb7DmOCPHpk6
-9CewwYi91JWC81PmwcHHWR8ekmBTwXfTls9CJu2VkDFA1oBxYDzgd78AzTJl
-fj5nGfJFyBkdCq6reK+i5wjzn/1vVcjg4ZeqSZyD2wjeULBPywFq7zoZ9ydj
-elXVfksvq1qGFvwZ32H4GMW22Xd67+Kq7Urib/SplGU9BjK2aftsxcds64x5
-RPB66FtotaOr9gXzbL3l/E/RAJzJXUCwe8b3u7YZzwnmRhvuNVEO5bXMmGcI
-7xIcH3k38HzortCbB8VcYh4hG8F5vUDwjKL5ZhOiz5F/wN4s9m/nxdnHGQgN
-F1ruo1mP/XcJ67x+GzgbuNtjcbbWcsZJGJf2gr0z1nNB32VZ4JPglTtnLEe3
-ccYyddgG3l2wmrU/lT5Z2yTEljt2XB9Jm763KO12TIq2wCTCryv+XT8r2H4L
-PlGXRv8zDrWMZTmQ6YCPh1wNvLwxBfswm1Gw/dvLU7ZbiF0L7E1gL/rJWJvH
-xl2Oef549OWCqAe+yfFRjr4Gez52S7BfwrpD/vXftMeYsX5RbXw6bb/3b6c9
-b5mzyK4MDpmWoVXP5RviWb/Y69jzrkvb9zWyi+NiPX4Xc3pi7IP47cB/x0zB
-w/PWPzsub7vQ2Ju9O+1AHPu52HrFLjp2C2Gy0D/IH2EnFrvN16ctk/JG4OLc
-s6Cb4R/4lKC975ezDRnsHSCD1EZjfJvybFW2r0nO+U8EC8hMwLut2a4Dtlyx
-7YutYuysYkN5mM6GhQ32g/mvvrF1o32Y3p62PcEnBL9THx2m9Dll2zLGVjAy
-TNx33lB6UrARnl+cUwuD7oYuRoN+vw9dV7BXwWsTv8qtVae5yv8hsh7Bgz5Z
-8LSQq0e+Hrva2CUaHXXFJjA2Y7FdgQwT/Mir05ZfRc61EV5Zg++HWwWdFnot
-TE9oKfiWZZ+FtYN8DD7B8a+Kn9VZ8Q3sJnTTww7QUku2fYeu6TEKO5Tt0/jx
-mu0BrbHBo7CvvjFb5WwpeF7WOo/Qm/Cxe2LIsXwCPVvps7L2z96o9JfALbPW
-g4OPgN/h4xSfXLGeb4PiL5Rtq7N3wrJt+Mjum7P8T6HqfQOfvPMDNwZHTlft
-uxlc4rLoN9p1R9pywsgLM15vN9q/5Ezlu0XxPyu2n43tBWwwQLuBhnNX2Tam
-sCGDLRnKf0f5c1XfS7mfYtfok5hXzK+30rYTzLoDL8U3PT7qsY0zRvHrK/av
-jJ/lGyueU8wtbNlsWTMuxry9Sc+uUZ6b4RtnrUt4m+Buej5D6VcLrhU8Gng1
-2C/HHyx2rUbqnUuUZ0/wqJJ5K4PKljeAd79W1Tj6XUGfPz7wQPjbxeCx4m/2
-IP3eWfFtc7bhhS0veEDsacgr4jNwQtl32/Fl+6bfMmVbrPcFrx+eP2sBn/J1
-Fa8v5IeRI36wYj/FZwQvsj/8fM61wAnBDcHxz1F8pOBf+saWis+C5qE23NFo
-n+l/6PdW3IPKpr+xrlnf+1TsHxxfwyerTpfX2V4B9ulHRX/N07NPs6bD9FL+
-NsEHnxt9yTrE1sEVofPyQszPxoplrZC5miT4RvA638yaL79jo32fN6uZ9gDP
-/aWY/9w18LPXQ/GOOfOE4A0tYJ3p2fRG48DrBN8TWQ58orJm2Wu4my+NvQ65
-hZmNlpfYMOYGc+TToANh8wCaCWfmOzXfc+EhwkvkbIVHCa8S/7zn691zK/YD
-jT9o4s9GfahXV/YyxVeV7e+AvWAK+Kp+399gP9qfxnpn3fdV/l0b7bv8rKBX
-gXNcrWdjleehrHlR8KSOiPsH9r6wgzk/4TsycqXo9Z0Wd5L+Kmu3RvsuR3Zh
-p1hH0FCxF8fdFdlk7EkgnzygYt/fx1QsA4EsBD7NHw2aDPJLn/Nb6RMrvttz
-x+9XtlzSuLhTwXtsmTD/kfNndMIyqdjHwh4pvOYT4n4HjaR3xWvnyIr30v4J
-y6Hg235AzJnDyubpzdG4fKLxebzRsn1zg98H3w9/aNDtsSewJO6n0DqRY54U
-+NvpgcuB090dPNzXBH+Dz6gyf9d3WuR8ljXPWZ6HNc5af7JsP6F/l+2DGbum
-2DddWrU+FzbotPWskbvZJuH9i33ss4p9i3On426Hb/rTFL+LO5/CI4p/XLFv
-ZWRI4H9Bz4Sp0y3nMWU84UcdWLF82rygcUHfwp86PnAfUv4rK5Zhwx7Cu1nT
-T+5MWN4Y21roSYOP4qevi8q+RPmXhWwbMm7IqSCvgm3SA+JcZq1dGvOW+Xu1
-yjpKZZ0r2F+/n4k5gK258Yr3LlsnhW/xzZWsf9Xtp4r1occGjWOFfl8PfYb1
-pTBR8Vaqw3LOAGinFd9VB8Z9dVS0FR7w+2rbDMHhWdtOgy72YNY0Jfg+E7OW
-UWmRsI48fupnKX3fsnVQoL+Dk++vb1yhb3UX7Fu27Tts4FE+eAL4AvTA2VE+
-NGrs3SFntqfyDVf8EsFVcT5yTtI/XyZsN/v7qmUJ4fliE+8g5d9VcIl+H5Kz
-zOpHynNh8HzhgSJ3h14m+nbwSWcmrBeG/BhyZFeV3d4eZdNj31aoS7oe1Adb
-fMi84fsX/jhjB10d/vW+0Q/w02n7uw2eM1/EmoUHwjk1t8E2dWc2uB+QlfxK
-+Z5gXVRdBvwFaBazE/bXMDJhefZZCcvgQsNGZgU6dqZs/7/4Af61Yn0udPSw
-O4K92ssTns+M76jYa5CZZO/5XflfarT+F3LXV8TcG6OyHmywPAA8eHjxyDJe
-pt+fKH45e3bF+oDo982K/Ra5AWwIcbeaDr4ec485yP2Ze/QF4C8p64PclTKu
-gq7VD4I3ZeyvE13u0SHzg+zPgpx9xF8jODZn+UDkc7l/oOMGDwpZW+TNpuQs
-X8t6nwydrGL56iWC95Vt+2h3zpec8b2Dc9arQI8VXVloBuimoaN2QqPrjxxz
-Le086CCwZ7Dvof8EDsC5iM/wUSFDhSwVNgGgHYFP4Bf9PMWvyNk2ALpN0KrQ
-T7ytMbFGAAea0MMp+y+BhvZtrM3VgRchL7ltzfqP+OBGXmpo4IFfx1mAzmGp
-al1I/HcvinnF/HpfZU9P2SYRPnKv5j4ruLny9VP8k4rbe220GT+bjwd9ALr8
-gugf/BW31POTBP/L2u5KUvEuev9QpXeq+OyBVtUk9OGXxp1tUtw1uHO8oXz3
-Kz68Yrkt7prcIZkzyL0jN36+8k1S/MKccdVxjZY1RJ61f+z/h1aM59wc+Oz4
-yIf8/DC995XguTnbhGyd895AmZR9uMKpih+Ws8w9svfI/K2IfXJaxXpH6B9B
-oxkcEPr4mNhrv1F4jbOBO4Vg05p5hfAMOUu/afRZhU7J4oTxggkVy+RwNu2d
-8d0d/Rfk+JHn3wLcnvNJ8ek5y+TTBytq1rmelrBON758kbecivxY1e3m3TZV
-v4vuADJ282P/R8ZlbOwz4yu+o625Ayq0D9zjmLxtDKBLtXHR9jCbCY7QN25V
-nvsF72XNKD4jZ70bdOX3q1lGEFlB5M25OyAT+mPNsunIqE/LWQ4eWc3bc6Zd
-PBn0C+ScRzdaNhR9gCUxP7ePu8CuNfcJ48u4oov7atRny6r1J9AFgJ6KfR7o
-c+NCnhC5QnQG0B3oXfWa+I59qdE6FPTx74H/kPaZ4EsxV5HRnhR4IOud/YR+
-3jrWF/ejreBRK9/XjZbTpj7fRfqYmAPIcGPXgD3q8KrpUU8HTQqdZHST/6mY
-jo2OCbomewcdB5lC8Bl0KNClgA4GDRFeFDKyyMreljN99Ymg44BPsq5Z368F
-7eKVnOWBkdM7DVnxnO9Eg3OWw2af4R52YNVx7NxsF/3POPyYNr8P3cqBafvF
-RJcTHS90fNjH0c1F34g0dArRVURnkfsv/obwK4Xe6omR78/Qj362YLuZ2M/E
-70ldxvzLn+BHpm13FPuj2NjEvuXxadcB2u/QKPOE+D7rDDwK/Jv1tExhKedB
-wXv79wXj8k/HvoQ8KnP5T/DEnPOjf4LOMr4FekBLV39V1G9bFr3XgkuDU2OL
-Fd+s+AnFHxz2ILF5ODqeo799TNqyWOj5zQzZLXQR0fPF5ga2N9DDxfYmfu7w
-M/FD0LV+Db3vnwS/T1u3mbPyj9C/xoYJthaxRdk9bRs/yDagq4jOKrqrHxZs
-/+rYoG/jlwf/LzunTXPeI/p550jH/wy0TPhxr9RZBxga5seCS9PWVYfWtzJo
-2svh2aZtb333mA/MhV1iPI6P+I8F+7mi/8Fd8CmD/UF8/GEvDZvSlIMtdvws
-7Jq2D1PaxZiiL8m44gv1gbCRUgkeSjVj+2XYMcOONOuJ/Qo+Fv6g8Q2N3Fp9
-1Xf5h7U+tlBfDMxZ96Fc9dnKGXtV4BjgGpMKlqu5tmBeHOk8L+h7WZW5WcZ8
-PXCViso4o2ybdT8L3tho/BzdKs5l7tH5qvEA8AHu3QfEd/k+OqboKCGjhr4Y
-fC54VcjS38x+VDM+DV59VcU0RWwFQFe8KdY4MunIw9/K75rtc+JLHbuXm1a9
-T3yp9JsL1tWHnt8j7j7cgVbG3QFdsMmBRyGDPzXOGmT8W2QsswRvekLQoqFJ
-nxz7xilV79fsG72qPl85Z9ETm6Vyz2w0L/US/b4ZHCBn/+SkXyp4j54dKfgN
-fPmKdRbQXcDfHjYEDkuZDgftBTtLU2Oc0bVDDw6aBvxceIHTYqw3KNq3zpcF
-3ynQp0OvDvoPONjmNfscR54Ouc19K6YpLq8Z1wHngUb6dsX0xkOrlot5kDrE
-3kr/Mw735YxXzxS8VPkvVfwicAPodOSteF2xvtDH3Tr6ir0WnvR7MU92K1oW
-BNtaM4KGf77S/61YB43zYpOi/Y71KJqHOE35ewtOZ99XWyYh71e1zaYJJc9b
-6GP4LFu/aBtTnQQvz/r+1ztrOip0uZ5Z+yGFHwFf4tmi7RqtLJqXCU9zfsb3
-qK4J69gcVLJs/vVqy3Zly5iNVto5JctIXluzjgq6KqTju23rGBd11xqeHLSN
-pL79o979D/5z1XaWxgs2U/o1ijeFp1w1H/Zn6KkKpyjtOpX/SMnyM3Or9keO
-3g62/WZXLVf2RNVzDFoBfGTWG/6MWH+LC9YL+EpwVsly29hIPL9k+z0XlCw7
-iAzh0dmQ5WuwHxvkdWvwjmrm38KPRQbrvoR1ctDHIQ3+4OqU5W+xDYN9WWSy
-FqYsd4VdBPSYuPfiBwSbP71Lxs2g7aAvz92uTdzveO+lePeuhO35Q5tYqb77
-AhmMjPlr8GDawbNSWS8qfY6+/5TCC4ofUrKNOHQ0kIvLqx1/UzfBIjQT+PjI
-5cUezl4OXxIddHzpbaRn7wluKNg+xp3x546HXv+74AL6RoPKOaFkPTl4kciO
-Uy7lV7LmY8ITGlu1TUN0pVsU7bd+bsRvD5x8zVzPW/YUPd+RMZ+Z11mFO/S8
-Q9G0Hmg+g3L2BQtvFt9/lDEkyllSNW17jMbujYzl9F9H9ipvuU/0caDlXRn0
-F/ShsHP1Tca87gMTlp3tqLZ9hlwuY1u1/Rzs22EvhXPzwqr7gj65O2W799j9
-GFa1rAN3S3AT/Pfhywke0Miq/R1sUfQ9Dltt3OVaq75bqN/aIOeTsQ0ubHFt
-FHx8ZKzg1YIL4xMqnzH/EX+IHaJ/Ogr+k7FMzl8Z2x5GBvePjOkO0B+2VHih
-al2V9wTfytieFfqq7C1fZWyjjHV6bsZ22LBxia3Lw0qW00ZGG73050vGzzeJ
-PWGx4p1L9tMNXxLb9UsK9sW2WdH3Ye7F6NhjiwMfjusUbR8PXY93Mpa1Rvdz
-35LlDxmLg+jDjG2LYWMMuQJkSuAPwnNHHgAZJ2TWkV0frnc/QWYLubuM98+v
-Ba+smX5zWdBwHlHautAAM6ZhQMuA9/9BxrYRSEe/CD2j9VTme/q9fb3rSb2G
-xzwZlbGOGLpi2K5Ct/P6qmmcVyW8ZyHfMTRoKdjnxF7WCNZKyTZNsSk6MWPZ
-YOwEIsOMHhC6OuiRgPs1xDu8Ox3ee8ZrH3sI7NXIR6Bv9bPC3mrXBiXbLIZO
-sExpexRd/75F2wfolTLOg14Msqs9M9bdRH4D+QNsdaKTBa6JHuoz8Qx9Ke47
-3HuW61ljg/fKezKWb0evELoWsmIHJyz3uFO9dWw5uznzsdEBn5d1ggwb9mCx
-XfZ8xv2JLS9sen0W/UB/UH986HHG3RNrBz3t7dXXzzSaFgotC1wNffz2Vd9t
-l1Vsvwr8jWfolqK/D5/uldib0W1jHSKDgf7/jnr32UbTXZPBn4W2s0nGMqnI
-AGwY++RhGcuLMHeQf+Nbz8f3Ouid5xpN1x0RNL/NE96P2JfQPcGGI7rqYzO2
-sYbsf0PJvv/QD8EfMW19P9qLHg3rHV0a5Nbvij15zf0g5kmzjHWQsGMAbxef
-v/jtxZYRfCv4V+hOcF5Orro8ykUPB/uCU2Odtw+5CGzg7JCxXBPzBBtN2Dls
-qrE4LmM9OPThHsjYph422Y4qWs9mmOBlRZ/146D1Fq2DM7FqXXvsah7NfGA9
-1FuWEFlnzltktqfHmDCP0R2i3eRDd3tgyAyvinMTXQTsDmB/4LGi7YbQ79jx
-uDBjPWvsziJHgixET8ETMraRiU28kRnrDqND/CT3Q8Wvrdp+IHLe9zN/iz6n
-Bxd9BnMWI4eDvjb69GcWvV+wb9xYtT4nep1PxPpaEesI2XVknrFjgA9YfOni
-N3d47HmsnSMabTfvskbvA4wtOmXTgzaLHBj71l0xF54rWgdkUtW2tg5U2WfW
-PG6MLbpW4wMHw+bxsBijC4ru79cCn+FegP4peqjvxvlWF+PEeF1StAwh8llD
-VH6fom1JsbccFfKxyMkiM4PuDLqD6He9FfPs8aplwleWvF8iy4Mc1VPgldFX
-/w8Zr4fi
- "]], Polygon3DBox[CompressedData["
-1:eJxNnQnYVdP7/s973jOfs88UIhlKmSJRypBMGUpClDLPkilEIWPmWUUkmkVk
-qkhKKWkuoqTQIDKPESr+98e9/tfve109vffaa+911l577bXXep77eVaD867s
-dEU8Fotdmo3FEvrbJh+L7a2/3SRbcrFYUumthOtIUsKRpCJclhSF60iKwpFk
-K+GEpJlwreQA4QPzxhyLC7eS7Cm8h2R/4RaSZMy/TXonif7F9NOxnQUyku2F
-64XfPw4Rbi9pK3ywZC/hOyVnCu8rSQnvK0mTJzlBuCMifL0q20Y/WFf3O7Aa
-i/2jH7or5ns+QvmH60b2V2XOk5wtfIxklW6goPSFwn+nY7EJSt8t+Ur4SB3r
-J/yK5CjhDpJ/1KAfSNYVYrH9MrHYRuXNlewr/JAab5ZwU+GeVf8l/Z7kOOFj
-Jd8LT5fsKXy85GfhdyV7CfdS+XOEf5dcJ7yV5GPhHZXXQ+Vdr/RfSu+q+o4V
-LkieVbqPZLHq85p+f7byZur8y3X+PUovVt72Sl+p9As6v7HyO0lWCt+t/KeU
-v43yr1B+Xf0dovS8cD9b65yxta4DdakreUF4OdcIpyTDhYdJWgjfJPlQuEbl
-vyJ8oKS30r+pLS9R+UWlxyh9vSQvnIh87VBJc+FbJB8Jx3X9eOEWqsMCpf+W
-nCh8so69IzxDcpXw47rn3noWX6j8c1X+V0qPivsYeTfqmtd17heSIcJrdexO
-4dckO+n6W5U+necluU14V52zj/AZkjbCP+hYc+G0ZKrwTEkr4QMkG4W/Kbhs
-fuNb4Z8lLYQzkmnC70m6C7eWzBb+u+Brv1N9L1B9W6sOS5QeJckKXyxZI7ya
-/iLcXdKk1n1uZ/J03WehP74hfKb6+Vnq72dKKsI7qc4ptV1zyYHC91bc1x+W
-3Knrz4l8LWWcF/l9OJn+JDlCuJWuGV3rZ9hZ+ILI78aBkvuFixnXj3dkk37/
-Uh17S/hryZPCPSSThddLHhc+Que/ybskuUC4lY4trPUzPVX44Mj3/oHkNOFT
-Ir8LMyXNhIeWYrH+urfpks+Ez5PMFB6ge52g9hui9FSlH5F0E75Q8q7wL5IL
-hLtLZgn/KrlY+EzJO8L9df14Xd9F6YeUfljyY8VlUNajksHCJ0seEH5T0kl4
-kGSy8IOSU4QHSiYJ3x/yTyv52kdU/qsq/wGlVys9nmuEO0heE35V+a8o/1al
-b6UsyVHCcQ28zwsvkySF++rYh8J3adBrp/S9Sq9Kuoz7hGt17DnhpZIOwjN0
-bKzwx5J02ffMvQ+SnCt8ieQ94d8ko4Vvkdws/ILkXeH2kleF75AcR91VxmT9
-9oOSx4Xv17GJyrtHcmLJ6XuFX+eehX9QnzhMz+5QyUfC75R8LzdJbhbOqIxP
-hMdJ5ir9h9phvvAzkjnCv0lO0m/dLPld+FGd80Uovz/3kvXzfELys/Da8Dx/
-kuypsg/U+P8SY5ukh/BYPdPnheeo792n9t5bfWqA6jZQ0kn4YV2/Nul7ov4c
-I6+q8y/T+Ymy25I2oq3ok/TNQYyPjH/KX668FyXvlVzfN4TXqG5Tdf1ypb9M
-uo8MKPn8pO5tT32X3lb+Bh3bXenOkrbK26h0P+FXJAnl36n0y7r2U5U3LZT3
-ldJFXT9T6Y+ULuncvNIzlP5Q6aLSOaXfUfqTcD799zHhlZKvhd+iDYU3qNxO
-Ov8WyUbhxTpWSLmPvS/8gSRKuQ8vEb5B7bkV44Oe7Tkqf6jGs4OULvINEP4+
-7fGtwDvNmK82Wst4zhjDt1Rytp7HA5IpjL+SM4Wv4tun8h5Uumutx7x2wrtJ
-ygmPsbuDdd5ZwhUdO1x4F0kx4TGpJPyY6neR0pOFr1V5r+maf5W3N2UI3xd5
-LOOcd/ltybnCL+qcQ4QfqXisnCJ5R+lrJb/y/ZKMpr8ov6nyHlL516j829TH
-8kofIGkv/JTyXxP+Wfl3KP8QHXtF6X6SkvBWkq+Ez5J8rfIOVfpu4YmSq4WH
-67rDha/4/99wye7Cu0lOEn428tygodLPUT8dW6n0S5LThbtJxgnfyngqfJvO
-aZZwG9PWfSWblbcH9yz8MvMZ5h5Kr+bbrWtaCKclE4QHRh7bp0guF35G8p3w
-tsp/OvL4T3376tzrdL8dlT4k4Wd2gvBs7lF4lmQTeTrv4ISfWWPhJTq2nfDR
-kg+El0rqCR8j+Uj4iYrv9VKde73Kvz3jvO0lFwvP1TmHCb8n2Sx8GX2CtpLc
-I3yg+uwJ6rt/KL1A7Tug4nt/QHk3qLxhkedjxyh9tdKjlK6v/B0ky4QHVXyv
-nMO5syLPH+ijFwm313U/1XoOd5HwIB37hrmC5Eq+jZGf9f30ydDe3YR76twb
-9Xtrld5T6a60ieo3VekHOVfyg/Ai5lwJtzltfzPzOKW3kdwk/HvkuQx1ekB4
-UtF98ULJ7cJv8QxpK8lTwnerPT5Te7zCGM5Yn3Hf+JL2F/5A1zRhfNFYcLvq
-N0fv9OEq+wrmdCr/A6U7CH+qd/ti5S9SupfS1/COK3+L0pcI/6j8C5W/suB3
-6xP6jPLz+s1uKn8vyXL91nLl31Qb5pgF38/2yjtWsoPyk0pfrbyk6naRyntd
-fx9RXc+XPCG8QtfcXOs56SfCE3XsW+XV1fVvCO9U9PyeNqK82ozHd+ZkCeGm
-zCGFH5Ns1vUrVe/6wu0lvwp/pGM7C3eURMzVlN5J+Hjmi+obzyp9jPDRknnC
-z0mOrfWx+cKbJBfSNyR76vqGkdcOzFFfVd4+kb8l1OGfgutAXWhD2nLH8Hy5
-h2OF16W9NjlNsijthRnPhjn8fsJb6x7XJzzGfsP3Senews8zFqj9GhU9tjxF
-nxPuIpkrnNPzvkv5JxQ93+P3jhfuKHlM6RmS0brfjzJu27bMMYS/kixW3kje
-QdpT5y8SHi7ZR/hsyTDhdcxFq/4+j2MskrQSri+ZTl+XdBBuLumb8Dd7f+FI
-crvwy5JC0WMoY+kdkoOEGxf9PgyRnM696T76C09jDBFepTbonHAZ+aLbgfY4
-jjFZ+BPlHy88RvgW1e+VjN9PxuRF1Flys/CJYTzhGq7tIHlWeAtz3ITrsKvK
-/yfyWMYYxliW1rETEr6nrHA3ydN87yR7hvu7TfiUUL8nKIN3kXe46O8M35t7
-JQ8Lz9b785La/nbmhMK9dY9LmMtJThJ+XscuF35beJLup6HSTyY952vAfFjH
-5zIe8v0XbsV6Vd/3XyXnCO9c8tyKOdZOYb58kfBAydPC71c8l5yka19kvqH0
-n0oPUXqc0lfpnEVKb2LOy9xGMjzpY9cKdy15rn2eZCvh6ZIbk57DonRopfQY
-4dNUn39KLpfyGys9VDiuY424V8lhwkvow8J7SD4UTuic44R3lKxWe01nfcta
-QMeHq3476JqDlb5EcpbwbF3TQfhfyQ3ML5XulXSd91b6MF33tPA8yZHCR2Q9
-V2XOepTwApW/p/C+nKfyY7pmF+bGkkMYa1XefsJnM4cT/lXHthM+mjkwawkd
-Oybp39wg/J1ksHCVNULR8+O/hHfV/f8pfDhzVOaiws/q9x7ROfPVN4YypxB+
-VLIg4XeOd+8cyaaE38lzhV9QfT8T3pq5ta4frWNplbdCxy4Xfk6Spa58o4TL
-Ou9f4Q+Zr6g9ryp6frOad1R4fMXvP+PAQ6zHdGyZ0rUqY6jwBMYMxiLlP6z8
-K4qem2eS/r1eup89dG9dJF/r3HasoXj+9GWdv7jitrtX6bFK36T843lWzGF5
-liX3hcasl0peQ7GWuk3nj9H5mxnDlP5dvzmfsa3ktc2pkki4juTcpNeAVeYK
-Ja+l76OPsTYsee1xb0hTv7uS/oaVhM/Oun7ncE3W60XWgqzJK8KdS14rkveC
-6nOk6rBOdano2BHCu5T8rHnmlwq3KbtvXCP5Tem9NMZXazSHkrQUnp5X3xV+
-XPK+8CTJ8cIdJDOFh+mcvnHrML4U3lXSTnk7I8JNKEP4B0lz4baSy4SflJwi
-/KHKuFH4BsnsUH5j4VMl7wnvn3ZduOYo4cV512Wm5FPO1bGewkMkTYUX6Nit
-wrdIPhaup2Ofx1wH6kKZlN1FMk14D+5H+R0Q4bMlpwmPl1wnfJLkxJh1fvXC
-+QcLHyTZIegPDxFuLdlduLOkpXBddJTh+gOEW0m2FZ7FOdy75G3hyZQvfEJI
-T8m7bpzzpvBRkmN17TGSRsIl3UM/sKTA/TAmJP3Osp6dk3dbniSZJzxSsknn
-/i0ZJvxV0ePrgTp3mPrH1iWPjftL1ipvhuYAuVrrnH4X3lb5FyivlWQdcz1d
-Fwl3lxyc9THyDpBsE/o3fbO5ZJXyLs56LNso6SG8i+r8Zcx9bG/haXrfWtKf
-lTdU9VmodLOkdUvPKL1aZbRI+p2hPK6fpWufkDQSfkX31LrGfXSG8Es8I+Hd
-Ja8Lj5Js0O/9JnlSeLDkL+E/JWOFn8q7bTg2Qnig5APh99EBC7+KPlplrVH6
-wdAfd1J//zW8HxN1bBfhhpJxead3E95VMkH4HfpLjcsYmvf7xbWzwv0/l/e7
-spPkDeExeeMdJeN599Ax67f7SE7Le4zm/X1f49v9ap/5+jtW7/dy5uzC5+p9
-7qGx7RDJecLPoJMRvkhyuvDZkkuEW/P9FX5Z0lP4NK3fP1F5N6IPUnqZ5B3h
-tyXHCe8omSw8XdJBeCfJlLIFfINkmvCZku7CB0vOEn5ScoHw+ZJT0RdJdhZ+
-ThLpWb+ldHvhHSRvCr8uOVb4Osm/wpdJ2gofJRlH3SSXCx8muVC4eahfH8l+
-wg0k36p9vkVvo/tprPQ2yvuGb4z65k+SE5W+iToqr17V+o+jdf9zhbfLWRf0
-gqS+8DY69reu3U3prZh/UyfhQ7kn4RckVwgfLrm47PZvI3yyrl2ua7fPWdfx
-Im2Y8zmce4RkjPBq1aee8A+q77s6/1Uduyrle+beW+ma+sK9JQcKj0FnovqM
-YA7GNVnPVdCpzBbeIedv98k8I+HXSv7WcY+/q/4vlTxXQgf0p/AMXdMoZR3Y
-rKzHE+YbV0mGCX9RcT7nvVF1G9KWtDFt/VTWc7tddM504fOVfynfSuHXdf4q
-Xb9B6SlKT1T6Gl1zrc49QHVbQVp/m9I3JU8L95TsJdxN8oTwIWU/q7H0Mdo2
-57b8hD4g3E3HLqQ8+rDw+2XfG/e4QHiAZD+lz5Z8LrxCsi99U/Kp8GOS/YWz
-zAmEN5f829RhivBV+o29U54fPiV8uaSJcFf0k8K9JPsIn8F8Mec5JOdyzVTh
-XsxZ9G6uQf/B+KXf2DplndgK5qtKb6v0d0p/XvJ4x9iZkowUfrbouQtzpDXC
-z0hqhOOSj4WfLHouulnlDxbeO+v52l9K7yV8k44dlvQcfYLw9lk/W57xjsyp
-Kx7PGdcHVD2vZH7JmoA1+Q1Fzx2wcWHr2k7HeiY9R63P9arz9wnPMXsKj1N5
-JeYSGov6q7z3w3ywqc59UukRrLGTnqMO5350/i/Kf1fyt9YvxxW9Nqun/DuL
-nr8xV2QNh371nqLXhj9JXtW1f2e8NuSetgjfqvwjk67jS8o/Suk6SbfBzcw1
-Q39AJzpL9f2k6Lkj35yVzFcln7P2U/oL4T8z1teho1rKmk3HjqB9hR+o+pnx
-7L5nzlz2nI+5X0Pm+KxNJX+H+fAgvr1lj111eD8ZO8oe21qo7yxhPaP0dkof
-I3mNsbPssabKGClcU/b7wnuzQOf/W/H4wDjxntJflzweM0a3YPwoWx/P+iqj
-/EvKHnv20/kfYL8qeWxnDP2S+Z/yf9C52yt9pfCPzFGF+/KOla3TQrfFmqOG
-d13Hjkx5jG0k3CTndy0l2UP4Iz33vknbGJYKN8ha3/Kjyqhh/ooOXnhn+pfw
-1ujUU9YJbyNcp+x3O8/4K1y37G8LOudtaauyv2XopOsJVyQtw/tcFd6+7G9h
-mfFc+KSgD6cPDBR+WJJIeUzoL9xJkhZeqfoUy7Yx/2drZs7H/A39O/2HuRfv
-so41wLYc7NVdQ30Zk57m28YaMO1vPN/6F/OeGzDHfUv4ZUkT4T3D9/+C0D8u
-D9+Xs0P9+aaPKvubwrflUqUbVD0HZy7eKJQ3SOe0UN65KdtPPtY5J+Vcn27h
-+0x7MQcYIXxGaE++2cOFT5acI9xckgvf71ZhfO0axsvzhB9ifBb+UnPEvTRX
-/FcNNEH4R3Q6OX/v1ym/Ed944fWSxsLL+cYL3yt5tOz5MHPfjmG+y/j8hvLu
-C8+D8XuS8P3heTGfOSjlOlP3F/Ke6+0W5l/Mnynr+DC/X6lzHqBvS3apeL7Y
-vcZzstd4Fjr2CHXhHJ2bUv1T8BQQ4b9K/k5iN/ldcjTvK99w3iPJrZJbJIsk
-iyV76JrufOclu1ct4KMk2wrfrHNu12+9LFkYysIOc9j/lHmb8k5J+beYnxyj
-ay/hfQ35nNdPckf4bcpcGOpwsM5/V+deJJmj9DLd35XoYCS/Cv9RctnMZ/4u
-2Z7Ht5cxBX3I0rK/eXzrdtT576GvkayTfFlxmZT9SM7zIcr4K7QNZXMuerDh
-WV/DfJLv/2xJn7K/4XzLf1f6uZLnx6Uaz+F5Hp+U/U3lW7qzru9Y9reVbyz2
-ybbqY0eqr20jObzgdsOWRZveHtqGY7eHNmJ8Yi7FnKoH74PkHuE4fTjMF3he
-/Xk+3I/q8Ifqsgv2b5W/Ru3ZO+f+vrfwZ2XbJt+UrBL+Qsf65vw+8X4yf7ua
-uYDkFeH6KmMj76fK20U4gY6W9YnSuwrHsdHTf5VuJPwUY1LK71hn4dFlv+tP
-SH4R/kq/143nQxuWPf+8UniIZCzvo/JvUf5gpRui7w/vK2WuEV6rYzfk3N+H
-KF2ueO7GHI7x7Dfd/36qy76scfJOtxBuLsmpfnmdv5T205hW5FuPvUTpjyUd
-hdvrG36XxoNukl2EX+KdZSzkN8oeExgbeOe+EO6g+pyrsn5SG1yp64eWvVYZ
-wByJ8Vu/uUF5DfT7HeBe6NiNKa8frme81rG7lHe35FLsgdjAc57jty6zSFb/
-ZD2m/AbCU/NeG7Pmfje8/1N17jd8r4SbVPzbAzlW9vqctfrJ4fwfVP5uKv9V
-5S9hvOQdUXo2c1XWYzo2j/dWx7ev+B3tF95Txoq/ym6LeZI/Q97t4R2+JVw7
-V7JdxWWAGSs+TfnYV5IR6OjQTer3fpa8yNpF+Rt17hbJMOYHkn+Ev2XMFp7B
-N0/XHs/4pPbeX+3xB8+37L4yW/Jr2fqVGbrXx4K+5yd0YDmXQVlfSfoLT+N9
-UHnfK/248ExJC6WP0/n7sa7V9avybm/arlPQR/xcdl9GB3yAzv9R6UHC70pa
-VtxGL6U8BtJ2vJO8mwMkOwh/XvXYwJjwoPJXVW3b5pvOt32a5mX1k54fThH+
-NDL36D7h03Tu86rbF7r3tZKpwk+rT0Tqq28Ln141H+sj5dUEvsmQtPvzeDgk
-wmMlk+Iug7Kek0wRfkvyqPDLkl+EZ0peEu6s8h8Uflj4VPSL+puFT6Njo4Vv
-1T0donQbyc18i3Tszbh/40HhGZpvjdT9tNfz7lb1OZwbz9jedZ2Ob0EfgA5P
-uKOO/1lrjhhcsWcytmVjH30brlHGtmVszPDDHs/YtpWTnCncJWMuFJyp+sIN
-JVmlW0oaCO8heVR530qOgkuWNveiR6hTM2wGwX7Nb72n9p9Ya5v8H8LXSH7B
-1h74avDTfqi1TRabKO37hu79AclDwuMkjwm/G9qT+pyi83fD5o8tFM6c8BGS
-pcIfp40PD5yBVyWzdW1DOD7Cn6AjYq4gWZY3f+DAWtvM4EjtEfn+YhnzpSgP
-/sHWofy5BfNNlgU+AvfP86hTa/7JTfCfhL8RPr9qvgBcLzhf2J/76/hD9D3J
-C2nXn7LbSn6BayVpILxB+Z8LP8s9CH8W+su5jGfCTwh3VflT9Del88fp2Ejh
-29Mee+mzbwoPlmxS3u5KPyl8o+q3UOlhkkdUVh+lfxBerrwzqu4/cPHmS5pn
-bJ9sJ7w99k7h1fyG8MvYCEN/59lgo1yRdjmUVz+cD9+Q5419u4PwULXvUdia
-gv27q/4msFfVmnN4neo0Xdf3l3QtWOfE+uR6yVTmJ3nrdl8J48s/abc3nLDd
-WatJ7ql1n+stfEbGXIXbJAdnrOdH33+65C50mYwRte7j9KeVqtM5Gk9Gp6yP
-qpOxfRQOIBwdOHDw2eBozqXv6VhV1z5AnxTeKmNuJpxKOI58o/hWofP6FltZ
-2WMzcwT0WfeVrS/ABnWc8GdVz704Rt5qpYcrfSbfTKVPCPMX5mzwr96VNEh5
-joW+jvUJ33Jsbn3L1umh2zsyzH96la1bQ8fG+q4nx5j7S8aXrT9mrL5Dsijv
-/KNTXpOyNu1etr6QOQf6K3ie8D3hZG7H+BH5/d87Y37nCWrjD1SXUZIOjGHK
-f1/5+2fMD4V/An90sGSEcOOsx7vrJA2zHoMYi26gDwm3zngsYszieT4iOSdh
-e/wBGQsYG/2BYXxrpfwLgv0ee/wlwf7Os4Xf+mfo61extsq4fnBUTsmYnwiZ
-GM5kS+FcZL5ivYz5pdtmzEUYEe4/K3mOsSLUt43OP0k4L3xp1fWnLzKGMZ5i
-H9+AfSpr/izjJ9zdwYw5oT9ha4cjC1f2Wzi2ep4d1f4Hqv2fSrsvdpG8Llyb
-ddu1k8SyHq/hhlzAGk35G9N+d+nzfzB2Zzw28c6cnTFvFv4s7zx8hAUF318q
-8CF4Xxh7/477euaDx4f+jW53PZyZnOfbzH/hPD6Utc0B2+5rSk/I2v4FFxJO
-5aNZ2xPgWh5bdl+hz2wPX1F5tyTNeVsGhzFrLsmn6GuEW5bdFswJDypbB4Iu
-pB1rhrI5h+giB2bNRURf/HPSnE70HVyPrRqb9fdw/0rWRaOT3ld5k0quy7W6
-fnLVOs2pWdus0XXC4Zyo9ANZ38/3So/D9ib5tmK7+OVB//Rk1hw81pbcD9y8
-N5W+UOm02rIg/FPFutJp2BNZT6l/7IaOFl0v+r6SuXS0IW1Zy5wFO7HKuEnl
-PVvyb/Jba0JZjA2MEZSJzXMU71jWtlAEfJXk44o5f+mc9R93hvaA6zgD+4/w
-RJ4ZHEHJK5JlknXYa1LWrxyIDZS1tMrYLLwg8H9yKetjVgb9Mfoi9J9rStY1
-oXOCb7ulYt39d5J/hL+B76++Fpd8KzxPZV6Ws/18i87/KuffW8z4lbPOFd0r
-pH3stX9xTY3XYJvzvoZrscG/WbJOC90W61PsoYtK5iKif0LfBD8RLiKcRPRR
-3PN/a+fk/7UFvIOXQpvcxnozrPfvFG6s+p4nfAF6+ar12XOS5ghgf3gTDkTW
-PJKPhCdXfAy8tGKOJVxLOKNLVX4rnrd+f52Obaqakwk3E33iJnTtFetO0aH2
-0fll/cbnSd8T99a07Pb+Mfl/7wfc3KlBX3+G0gOSfmd5d7Fp3541fxZb97Ph
-nYS/CzcA3in8UzinXwo/p/zTs/6+LuL5Za0bfVvyhvBodCJZ8+emcq9Z963H
-JJOFS1XPZZnTHlO2TZr+vXPOtup5rDGUvlrSTHkL9Xdz0jYRbCMPol9mbSS5
-v2id9Iig/0BX/a6uPzpr/5Qlwrthc0z6eWLrgS/B2opruJb1ZL2c18islb9T
-+sGc7S08z/0Yv3LWuaB72a/guev9kmYFP5+vsm4fuLToO59F1yk5UXirqu03
-cE7qoL/N2rYyRfJ6sNG20t980rbbDUH/jo4be0+N8q9MWic9tmSeOmPbz6E9
-8Un5VWP26wnr79dlrUteF57X+Ky53fSRz7LmEH+RNQcabnF73df4lDnhS7Lm
-eCd07OOsud9TWJNkzXn8Dl0fNkT0vEp/UrH9aX7WYw5jT5E5sa5vyJykbM7x
-ZuVtypqLjIAXZG2vQsCUQVmMwYzF2Az2L/mdoK5rs35X4HDckzVnAu7EE0o3
-yZrDU6v0U9iwMuaMnqT2eLzqvnA1+nvGNP3eP8rfgX4N10iSSXlMZGyEQzMv
-rL/pK4z1Ncr/KOkxfyY2nqDnfkvXblG6c9Zt0rJkG8g+WXNGsI0MVrpF1pyY
-UUpP0jU7Kd2Wsnj/JYcLt5H8ULTOHt09NqSGar89yrYVMD/D/oA9CcycbTfh
-RnCO9b3+WP3xDfXHX/CBEk5LfhTurTpdJ7laco3kGcm0pH0g8IWYVrKujDkn
-c0/49Oj20Z9jSymU/S1mjGesh39fm/L6HN0dZcPDuir8Bvx29O3MZ08s+3vI
-+h17HPrWeSXr31eovNtDnXg3eUd7Bz0julh0puhOv8v7XlKSDXnPGY7NWUfD
-XCKte95TeU0kewq3L5u7BoftLvRl6Ij1bVghWZd3/+rDtyfpb3+LkjlvcN3m
-V+z/wViGzecp4bW6Zjlck3D9H6GO1A39LWNYY9WlUc5j2+Ml2/7WSz4Wvrfs
-vkMfup/5PjYCuC2Sr/IeEw7VtYfnPFb0K5pn+7PkF8nWuqetdG9HoBMtQKyw
-zwK+Ct+UPCZg1/0tjBXvwH+UbMS2VbROlm8f38CZPK+ybfnYkNaXbO8fQ//m
-eev+Jyg9IuU1A/Yp7Ol8y67gm8O3Xb/xsuq6KOif6qpOW6tuX+t+qvBldWyk
-8t6XJCoec4/MeQ7EWIy9CW4Sc6bvSq4zdcc34xelh5X87eIbxtyhpDIrKv9Q
-SRlfrJL5gti8qP9IyeNJ++c0K7t/M9fA5r46lIevD9+84SXXkbqiY96WsiVV
-4cMkdQpuc7g2cG54FtjPGG/5DX5rRJgv4SMCfxEdG7q2FkGfOlhl7B34tK8V
-PJ94OejQ0aWzBmQtSJ84XniR7n9F1u9Dvmz7F7YubDjwK3Ys+9uPzQj74ANl
-v3/NUravzCzZtsU7h78NNkNsh2t4pqwdI+sLsOGsV33eV/6+OdvgsMVhX8N2
-hg0Kvgj2MexL2IiwFZV0TzvChQr+m6Wy7emMmfNLtt8xl6I87PNNyl57wgGA
-C8B8hLk6a1LWptjHmRseGcY37HfMLeFUwGeBz1E3ZZ1+o1BevTB/xHaJDRVb
-6rZh/Jtftd0R+yO+TszpmdtjM8V/50PlV3P+XsIf+QEbRI3HSMbKa8vWPaCD
-aBbyE3HPSZmboo9m/sQagvXHYsb3nG2Q2CLLSu8Fh0ByStkcA2yT5KPf55ny
-bBnzsLe1Ltl/ifrC58TfC18afGrw52laMk8UnuseJY8Xy1TfpXCU8p7zjQrf
-S+aC2ao5IXBBclX3Neaqf4Y+h7/YBJW9Jml/G66ZH76/rzPXVZ+4RffaKejP
-b5aMiVsnj24efyb4il+E+SnzB+aEzC/+rth/jfUKYx5jH+N1Mu425PsDv3hl
-uH/GfpyBh4fxpabi7wvtRZ+ib01X+auynq/8VfF4cm3QZ8Adaqo6dVXZ3SQn
-Ct9Wsv8X/lJHlLx+Ym7FGgR/JHyoyOMc+AD4u+E7x5wff6SVedsmZgS+IeM9
-3wr6yPfCl2IzUttulPQQzmXsCzNfvz8rbQE/I3kPXZWuuQz/aMnF2Isll8d8
-7BTh8yVXxHzsosD/ukS4u+RcbJeSHjEfgw/WLe+yONZJuBecP7hskusD/+/3
-mDlwQ7Avo9MRvlLSJfDf/oj5nGGBL7c5Zs7gkMCX2xjzOfDjhkvmC/8reVb4
-wrzLos6nCp8ouZi6w5kU3ht7S8wcym3D+dcIXx1+n/o+KfyE5BbKyvvatpIz
-8vanPkO4qeQspQ+VrI6Zo3lY+L0bhW+QnI6tQXKUcN9w/Q2Sx4QH0uahvXrD
-7fyf9r9WuFdob/ibnWKu83bC7dTfynpuo5TuqfTjkl+Ff5E8HdL/CG+RDBLu
-L5kjPFvyUN4cUrikd4X6L5HcVmOO6gfCt3MsZs5hP+F7JIuFF4Xr782bi8ix
-AaF88hZKHs3b/g33sEHgOz5AGcqbCGcwb597fO/xaT9E6bskc2OuI9c/IlkQ
-8zN9Qnh03lzJX8P9PCyZyb1K7gj1fTfmY/flzVeESwmH4eVwPW2xOfAtaTPa
-bmR4vnAa4TZuDPxL+JVrY7YBw4+kT9G3/gntO0jv8GjIF+ivC67PM0p+KHks
-b77mrJjrRPtxjLwloX70V57VvHB/z+TdNmsDn7OpJG11QWwf4Vv5TeHHJbcJ
-95UMjfk3uf8Gabd1+8BvRmeD7mZFyvoXxgG4aXDUZgrvib5f5ybgeKYt4KUq
-b8fA/4T70TBtrgj8acq+VrKvcAvJAcL5wJ8+V2PMbyr7Pb6p+Jbp2L3KOw2b
-snB9yfcxc6LhRh8gGV5jG+gxwq0kw2rM0ab8llXbIteqrn+jq0CHkLI98GDs
-eznP/ZgDTs6ZX32zrr0p9N/uFesjFkqOEv41Z1swNv7pfFdz5pLCKX2beR4c
-hJTtlYdW7A/yS8r2P+yB57PmE57DnEP4sIrrN19ygXBzyU8p2zOxN+4v+Tll
-+yP2w9Oos/B3kr2Eb1Idh8X8DK8WbobOXnWvG/ji20mWKa95jZ8H/G/GmtfD
-+NJbcnrM79Q5eY8hjCWMoVeE/LtjHpPuF76MPiw8OvQfYkjcKdxV0pqxO++x
-6vowntO/eLeGhPoVsuby7Z40Z47vAWPTNWF8ZfyjbqeH32N8u0p4jORa4d3S
-7k+nh/5QVzI95j5dTTufvrJH6HN10q4rbbCVcE7SPPaf6jiWFd5e8k7Mfap+
-yNdjjJ0tKQrvkneac49V/6lgH425DPLhq3cWbiyJ0ubj05f7Kb11aH/ehVHh
-9/k9ng113jbt8eOJUHfGYjjfcL/5jW241/x/prrYfpKc8K55151ju+V9jDze
-8SbCtQVzLeBgwMWokZwc9xyHuc5PjPnYryQ/C5+g37wIuyBrzHA+XAI4G3A3
-ajV/7qmx6apax5PYlDd3BJ0juscT0c/o+kt1bH9iOUjaxL1mYe1CmZTNGnV3
-4eMK5jp0lFwi/K/KaBz3+wuX4UjJ05QvOVP44EJYm0i2gmvCNyfue/hTeH/V
-6WnV7Zlaxz/getaKrMkOFT4Ef8u415CsJQ8qeC3Fmoe1z/mSo1gLSY4p2B8E
-bkD3wLffQ8dujbsN4a/Ad7mJuVfc+tb2Sp8QN6cGbk33gu/txrjjXzRhjiZ8
-SuDDwI+Dy7ZL4M8fiH+n8g6WFOCfFMxFOQeOinBGchZtIckWzAd5LW6baQ+4
-IQXb+rHXP1Pw/PAO4X6SE3j2kvFxXwN/5DLJPcITJJdTdsHzt55hPUib0/ZX
-hvU2+j7qgo3/lIJ1fuj+zg7120dyZ9y/yXyUNqQtscE+WLB9BdvvUbX2Z+X+
-uJZ74t4aSsbG3abwh26UXB33MzmvYJ0Guo1TJXsVrO/oItw59Cfie4wP9uDj
-hfcu+N67hPNJc23X0B6nqL/2TLtPHKH0RZLn4rYREbtkO8nIuPtYvYL5WMxt
-aSPa6vqK/UQX8p6G63nWv+t57iC8k+T5uH2G4FehH6Btnw79EU4X3K6raEPh
-ucw5ajxnms/4qvJXsr5U+Z34FmjwqUn7G8W36hs42MIfoL/I2b+oX43LWMjc
-Rsdq0/4m8W3aLNmGsUjyr/D2efvucIw84v0cGLMPD/4/32F70LVLJF+jw8zb
-9wefIPyHdpS0idkniHhCx+ftK0QZxAtiPowvED5CzC9/yHlw+lDlfZvzeroc
-+8+tL1bOe0zNp+3vw1hLvCN9Hv7jpBIbiZhE+8Yc82g/6p7/b5j4L+ZRff1X
-I9mOsTTcH3zVyENJbJu875c85rz4K1Xy/u0iY27e8ZCYfu0Tc6H5/H8qpv9i
-NhVC+bQdMZ1q846vRGwnzsnmfQ3XMnwx/zw8pJnTEx+pPd+0mNuscfj9nWLW
-KZTD79WPOWYT5REvCl1D/fD72KixVfOM8R/jeXSIOaYT/ljEi2oSc4wo4kcR
-z2l3vg1hvke8qD1iPkb7EX9q55jrUA31axezD1a7MF/k2i48w7y/P7uG7xvf
-m4aSo2NegxwTnkfDmDnCtDfxqHaJ+Vj90F/ax/wb3D9zBOYK1Bm+Mb/Bb+0a
-vl/EzyJ21XahvfEPOyzmNqR+9En6JvyF19GB5u07Rp0a5J0+POZrGoX+2TFm
-Hzj82Vg/sfY6kmvyjt9VE57/4eH+joi5DMrjHM49Itzv8ry5NegwvxC+S3UY
-lfI7w/tIH6evPyuZlHO8CWItbZJ0ghMgaaIOviXY39+MzEeCl0S8jhcy5nOd
-LLk/8DvgAuCjTzwKOARwCbZKOEYE/vvY/h+VTMqYH1YSbi1ZITyRl0H41Izj
-a7yTMVcK+wB2gukZx/5oI5khPIRvaMKxEHrr/LP0N0o4xkQf4Q+Vf2zCsSL6
-KP+7yPyWq5W+SelLMvbtxkebGBMrlN9R+I6M4028FPn+aQfiNdydsb94A/wf
-4EpIRgm/n7D/O+URr4IYFMSi+Dxy/I4rMo43cU3GsUW+kQzIOMYIaY73Vf6y
-jNvmbXzIMo5TQbyKUyUPwu+KHO9joPDNVccEITYIMcGIj7Uhsv/7dRnHP4FP
-0D20B7E3khpIrhe+M2N/d+LDoPsu6dnfqvQQ7CsJ/wa/xf3SHjdI7so4/gbt
-2UtyG/eecfv3lIzM2IbDs+qRsL1vXMa++l1C/W/NmG/0DD4mGfu049uOPWx8
-xvWifn0S9q//VnXYN+FnxrO7s+K+Qp+5o+Lfx/cf/3tiYzQr+nk8l3G8A+yP
-1GVQwvZ6YmAQC+MgyZPC96uMS0L/uw+uGByVhI+dI7w542fxXcJ2qMcyfnbb
-JB0fBX4H53IN/BhiGhDb4EXl9dPvp3RsJ517mY4NgztStD91s6zja3yW8W9T
-BhNl/NcvhRsjSWf9TvFu3RbKbFN0e76ccXyZp4v+2ERZ+1f3VfoN7kXSVvhY
-bBLBHomvDMfII9YH/orYX/HXIaYD9q1/M/YFeYc+IPxyxfE0pkpGVezfQzwx
-YugR/+E1yT286+H5fZuxv/dzkrkZ288omzKw39Upmh+0MWN/HeItTKBvSV4S
-/iTj3yZmyVTheRnHgsCncn5If5ywjzkxneAQwiU8odb8vN/T5vfM1Ufy3bTj
-lBCvBA4ofDjil8ElhQNIvKAlafNN4RwSr2hywfy9r4XPqprPtyLuGHAc+zFj
-33hiTC3k3dL9LBVen3F8qeG6x7UJ+1zhewXHDq4dMWWID0OcDeJtYJ89JWsf
-e8r7KWN//NOK7s9rMo7HkYU7krB9Hjv9+UWvR/NZ+9vj98Szxea8bdY2WGyx
-xD+4Xvg51WGj0vMke2ArkcwU/lmyX8l8MHy9uAY77t9Fx+r5NWH72g88k4Tt
-oXWytr+RR59eXnEcAeIJYA/fJuvnT3vgE4fP/0sqbxXlZ+zPtpfSCxOOB3J3
-1bZY+FbYp28M9lq4wnCG51bMP+Pdos5wbonnNzO8b9cL75r1u0Kd9xB+OuPr
-8UkbnDHf9udwPfH/eN/gYlE+3xvead7tbZO2MX+mb+SYGutU8FdfWHT7YbPG
-do2/HvGheAfwb6uXdaweYvbQ/vi4wQfAL++x8H1kPLglYc7zvepDL8Xdp0YJ
-H1Sx7ujJlPneJ+lYf/32hXDihU9O2zf/Pcn5wkeknYcO6nDhjqzvsU1KTgj5
-9Vgbxn39TZKLhFuyngrnszZ9Q+e3Sdsehm/B6Wlz0dGHokvqG+b3HCe/meRi
-4YMlzyvvQ8lBaQt4CTos4TPS/i1sbPDa4YTCDW2dNhcd/RmxB6gj9T8v7Xv7
-TdJb+DZ0EMr7XulewqdKtqDbQscnfF3a5+7MGi78HrZmbM49hC+R7BO3TeM0
-4W6Sf2q8pu+K7kXyXdwccfi+h0m+qbFO8FDuFQ68nsU7KfPzO+vYn8pbIOmC
-TiVtPCzo74anHdtsqcq7U/hx7idu/cLAtPnlcIVb6pz3hS9DBxO3zuHytJ8Z
-z4713RXC50h6CQ9nzSXcL+17PV4yVPiatPMWxd0+6DAOCWWh2+B5t+JZSW6m
-LSRX1ljHhq4N/vHRcbfxraG9eLanoQMQ7pu2rWafkEYfwtr1wrR1L6z/6Bs3
-hvUbfEd0M+g34N8OSnvsJejsY+F+qV8RnUDaa9ghIY+17TNp39sNksnh+XNv
-m0L9WLOSh42Ltezdadu+XpCMEL42bVspNtOn046P2S6sh+eF9qIvTatxe07k
-WNxtAP+6U9qxKyiDsuakzcXmnAnULe26r9I5HcLzoSze0bPTfl9513hmpLHh
-YsudEPgDi3PGHFvCXDtnf7svJMvgpOVse9/CNehqc/avwz9uRc46U3Snb6fs
-35GpeD3B/L1dxTpddLv4ZE8V/l7t9Ybu5T74p8Izcvadx4d+Ws6cbeynE4V/
-rTpGAPyCN5T+je9dzvxo+JtvCi/N2f9vnWR5zv4l6HrxP/mhbH8RdL34nPxU
-tj8JumN8SPCP2qdqXyh8YvCNaV2xLhsflw3KP7JiXTI+SX+XzUGgPWiXX3R+
-m4p1z/hX4U/zSc5tgw/hdcLry/Z9wQcG/yT8G/ENw8cKX6vNZft+4YNzeMX+
-RNNTvoZrZwa+4Vsqa4N+7y09wwR85dC/hpXte0TMBvwxcxXHNsA/N10x3xvd
-BTqMgtIvls3FhpONfxXPi1gB2LhTFfsb0R6cw7mbyr53OLpwdYnvwFrsw1A+
-8RhGB/0G18NpwxcHnxy4brtUbZ+F4wHXAxsttlo4IW2FJ5W93jtL+V9XXUfq
-CmcZ7jIcOnxn8dGCW4cPD1whOAtwF4ivgO8rPmz4so0s+1njY4evHX2AvtBJ
-6XVV+7Dhy0aMCfxtiR+K7ys+e/juXVwxF+W1wEeFb8P7cXfK/ApiBBArgHhR
-8DXh2MNNgi+BbzAxUImFSkyAfzUXqV81VwnOEr5HJ6r8lO7nfKU/rdo/EG4E
-HAl8cfEX2zVnTjN8JGI8wImEYwX/5JSKfcfwIWtddcweYvcQQ4X4QFuyjlcE
-x3FR1pxQ4jvAQYErSowiYhURM5b4P/Df8HG4G05WxXzMM5Q+Az5JyfGIunKv
-ScdbrR/4MXBY4F/DaYTbCCcR7irxXy4MfLC6JccrIjYR5ZVLjh9zftIxbImv
-tV3JXBquIR7M+or5xXAS+gQOGFwwOLNwZ9dWHHOLWFtXKN245JhhxApbXXE8
-3R5wIZKOD/ab5kfDko5X9HvR8XeJrdVasmPJx4hrRVwtzoX3QCyMW1PmUV0T
-6sBvw9/dp2TuM3Wkri9VPa9jfsfclHgQcDXhbPL8/yk6dhgxxPDvJ77FIOZe
-kh7Kr1cylxVO6zmhff+LlZN0LLA7JP2Sjgl1bMnxeMcF/gFchZf1+3dmfc6n
-cFVLjr92myQD96xkn3o4LX8o/8jAX4AjnyqZPw33pZJz/BM4vvClfsyaG088
-EmI3MGck/mrHkvsKHBDiBfcr+bf+i/lWcsw3Yr8RExY+ODHYiMX2bmhv4lUR
-uwoOMPFyzy753uFAwYVCmQiXhRgAxAuAB0c8Evr0P1m318VwZyTbl+wPAIeV
-Njy9ZJ4oscqIWQZPFM47XHs4HHA5iO9G3yMm86klx2CG60WfJt7a8zp3z5T5
-xM8KX1ZyzBJilfxccX2JNXdxeF5wmuE2E383UbLPM/2Hdw5faOKvDk2aL7q9
-8OU65xmVdXnW/FHir76acAyJ1sJXl83P3D/neCdHFx2fk5isrwlfVnTsnhdY
-kxcd04PYHvuwXih6jce6k/Una78LJGMSXvNeJHxw0bEKifl6pXBdydcJr8G3
-ET5PMlrpJQnH9yNe4oiEY6idG8oj1tqzkhZF+wjhu3F6zr5DnbnHhHVqpwjP
-j7z+QWfwSGQdzvqs+UnodnbW9VulHOOG+BbnRtYvoYPbIbKOZ1DGcTPR/VBf
-YocTQ/zHyD7qvKu0Ob7rexcd6/E6dDLoMiLHnrs64fit6FjwjYDzje6ltmhd
-0bWsoYR3L1pXRAzE3YRrio5Vd03C8V7bhPUiz4z4jqyhN6huizNeWxM/hFiq
-PDOeHWtk1tTE92DtPLvs2FbnhvGfNebojOvA2pP4i6yFiZlxhvDJkjlh/Xlq
-SBMbk5iOxHYkBg6+XfBth+U8BjIWPhX6LjFnWZuzRl9A/M2qfT/gyMOVf7jo
-Z4VP1dyi25S2fUtyTNH1pL7E5CJ+DjFyZwX9z7zI3xd8D/Djp7/Tf4gNiY5r
-v6JjarKWZk39PPb5omMJo5M5vGifOfxnDsrZl453gHfhs9A/iUHyX3x01Xd2
-1TEEeZ7EEDxTeOeidWfrNCf6K3Jd8I0gpgB1ggdL/xiXsl/FPZH1ZfSxo4V/
-ixyLE50kukl0QKyz4VSjG6LP0feI1bpd0TFSiJWytcqao/q0DeMd4x9jb4aY
-NPgmsp7CvhY5VivHFoc0eyHgE4ZvGD5SxI7Fpodtb2HBsVqJWUvs2mzOsUyI
-qdE053i3l9fapxTf0qUF+0I+j78hsYIl++lekgnH5yWf2LD4iC4rOCYuOif8
-L4kV+2HBsWKJIUssWfZTQFeFzop4t6wX4BrHc+aCEkOAue6cMD/+tuh4P5dJ
-LiqZM0nshdqcuZTfKL+cdIwn/J++Llr3xDeaeO9XYs9K2QeHOBLrix5bD0w6
-ng7xQYklxG/wW8T/5NtOmZRNzExiZxKzh/HxAz2vC7OeEzA3aFf02HsUfQh7
-adW+IfR/fKHeKnpuQEzDqUXvH3Gi7n2XWsfrpX1urLWPXll572DjFn5Y8mfB
-fExinxC7Bu4t+yucq7wHJRsK3p/hnFrvMfBLwRzPXHiWcD+/w36rvEmSH4XH
-Fewv21nyIvZ8bMzCT9Q6njv7O+Cb9wj9Hdt21f7uxKQglgj7FYxU3nX4N0b2
-OcRHr33ob8Q7biS8UeuHTwuOX96s1px/4mEPxL4rvCc+jwX7jxMruSZj33Pi
-K+NbiY8le2XQ39krgz0+2OsDH2j8ovGPxjf6s4J9iUfo9/oXfL/70bZKDyk4
-Hgzc5rsDn3i1ZI/gn1gv6NPZ84K9LtB/8/5SN+p4vvDXOn9f4eUq7ynh86pe
-p7MmZ23OM51SdBxTnvVe6hM99eyPlcxReQeVHPsfDi1cWjjEcImb5+w7USzZ
-N6lp+L5mS+badA7zq9/C3BGOLVzb8UVz0eGkEyt1bNF9GX9G/HHGFT13oY/T
-18cUHQ+RmIbE6yJGKzG1iHG9lG910XNBYm79F8+06FjYkxKOz/VK0XPZYtLx
-wvg9dJ2MocSmogzKYg5PPFHm9MzFmZOzP8JivinCu0oGFh2jlFilncJ8hjUO
-ax3izeKrho8ifis3Ze2vM0T1HZu1v88BOv/GknW7xLh9I3xfiIdKvCbmA8Ro
-JFbjmWE9QLztvZP2sSZeKf52xFIjrhu+e/i84PuyG3M04XTJdT05zF/hbhMP
-q26Yw9K+xOLiG41uF98X4lcxxyjn/Mxns84uuS/AiYYbjc8Jvid7hmNg/Efo
-H8TKRceKrhWOO759zXLmvjP+0xeI8ZsreX5N3dgzA/4wHG647fCR4XYfkrOv
-9ZCk4wUSH5a5I3s4HFqy/xyxYZlTr4TPnHPsqoPCb+KDiC8iawzizc0rOtYs
-bcz3e5OkT9Lx5iaXzFHvE76vcNfx4cCXgzagLd4K7wZrINZCcODxBWqZMzf+
-jaLjthFn+J2K1yCsRdiDg/jsdxQ9dhLPjfhrxDM+VOceIvm+6BidxOpkzUe8
-UGKQ4AuFT9RvFcfnY27BGoN4h/wGv0Us4590fr2ix2703zP1vreMzE2CQwWX
-ivhCxCdC54DuAQ4lXEpiKL4jfLvGgFVxc3bg54zR2PB63DEjiOdxpY5NjPvY
-HXwrC9aVwmG5WnXpW/DeNk3CeEi8hB2U/rnG+jz0vR8q/Wzc+mH8NZbEzUGF
-i0rMBPR16O3OrFr/iH6RMRj7z7XKnxZ3DIP74CKlvdcNe97A/4bfhT2IGCPE
-s5kkSdZ6DP2p4D1/2PuHPX2mCD8g+V7nzkg7PsO9Rcd+xN/xbeamBeuXOWdU
-OJ9YDfVqnWYMZSzlN94s2P7EXhlr4o55gv4J3SZj7nrhlwvea4D4/l8UvKcQ
-ewvtL3m74H2P2OuovWRS2jG/iP1FG+HPAr8LWxf3CH+tZcG64e6SUwv+HtH2
-/MYrBeub4fZ+GPTrxOcYW2Od/+eBT/BCjY8RrwN+3g7h9+G3fSR5ucYxPTj/
-uLR1py8HGwDxIohFg40FWwt8WbiR2DAOEV6f97P/rw8Iv5h2bI63Je+gu06b
-u4ROG932lrxjOaGj/ydvPi1cXTi2cG2JF0PdKO/NoO+fory2Sp+Vtg8zvszL
-g/9Ab7XBT0r/GPoLv8+z5JlOD/2JPGJq3Cv8StqxQdD5o/vnfrF3rA76YnzG
-8B3Dp+1r+C9p3/tzwV6CPQEuIZxC7AvYO7ClYLPAdoE/HL5sy8L1+JTgW/JC
-4HNgE/kgtCdlH6A6DaIu4fkeRp/j3YzbX+rogu+9ruSogvn9cPPh7OMfgD8E
-XHw4+Pg/4N9ArFs4+vgz4K9wdcwcV/i28Ge7x+xjAN8fvilc1C8DHxT+Ldxt
-OP+X5x0/hVg7cPDuT5tfP1t578XMp4f/R+woOH9w/+DPT4iZ0wvf95607RHY
-0LClcT8L4o7BQiwW+PRw8RdwTd58fcqeFXP8YDivjWOOQQ3fFQ5Xo5g5QOxH
-B1+VfDiyzfPm8I6JmUNM/eEvww1+ijYQvjFvPFhyjfDNeWN8KPD3gO8LXxbO
-LvxZ+P1w3+eG+sF/XxPzPfYJ5Q2PmSN9VShvRMzHKJ/+9mTcMXSIpXNBwftJ
-MIbeVLA9jbHy+rjthfBJ4UYyJmJ7gZ+KbYY+Qd+ICrZV9ZA0L7hP0DeGSvoU
-vHZi/w1i+hAPp0XB8X8GCJ9cNR+Ua+lz3cL4Qt/jnC4F82svi7vOrYXbSAbH
-fQz/QPorY9El4Xr262Dvj2uT3n8C/it9l2u4Fnso99Yh7njlxxa8lwZtcGHB
-cXjoC4zx4xmjC479NAObTsGcILgwcGLgfxAvCq4oMYCIBXROwVzHq9OO54ON
-FFvpvWF8Oq3gst7hnIJj4hAbZ0BI9yp4rJoWxoeeBcePIo4U8aa4nnMHhvoQ
-o4pYVZPjjknF+gdbITG/if2NfyO+pcQgQL+M/wLc+CnBXgn/k/GfNmjH+ZG/
-5di07xV+vWJbNHMM5hroj5grEuOzYdH6HXzx8a8nlhkxDdl7ivjExDrEX529
-FL9Ah6Pzb5QcmnQM+95FxwAj1h8x/4gNBifghqx9dOEKED+WuQsxadnfYyL3
-gm5Cx34UHqg5xKm69g5sSrnAWcja5xcuAzoZdDNwBNiv5KOi+S7Madk/ZkDR
-8+k/g77iipxjAhMLeFDONvsuWa9BmF8ScxPfxxNzjsVJvN4tCcfYZf8I4vMy
-90fHRHxa9m/Yl7l60vFx2R8H7k5JMlH3WpNz3bmHf7OOX4uuEJ0h+x8QGxRf
-SWJUn5pzvOCmof7LivY/x6+ANc/bFXMe2mXtsw4Xgvtgrnmn5MlwTxwDD845
-JjO2EGwiQ3LWt7H3ysKg72K/AfhVZ0iqRQv4jfD8KkXHQ74z4f2H4BSxdxXz
-e3Rx6G8GJLxHy45KH1C0bpQ9UVoWrW+ib6Av6FO0jg9dHzpN9n+Bg8WeK/C5
-4GYNqpq3B3/vxKKPkTc66LP2LVr3CQcsU7R/NHt1sWfXtKJ9+PHlJ1Yt8YaJ
-yYTt6JmcYzVxDvOw6eFa+E7EZv8jY24U8ZPhmtEm7L/Afhe5pNeIY8Lvw3Ub
-E/Sv7EcDl+nGhPdvuUe/twr7Vcr+6nC8FmTMB4L7BaeLOM3Ea4brRbzh3cJ6
-irUgz5xnTx+Gu9UjZ304/Yd3gfkNeyc01Pt8QdoxxIglBicfvsjvefMd4FbA
-18C/gPkNYwD8b3ye0D82yNkX6hHJ9xnrtIcV7dOPvQwfZGKrwieCu8g7QLxq
-5l/Y84kBSSxI9vOgLy8N+m44ZvB6akL92a8GXfa/4X7hJLEXCGVSNr4axNaE
-w9E12NOZG8GBgA/AOMt4CweD+RgcDrgccBjgq7A/BWM9Mf7Zb4LvVeu4OQVw
-H/BBwBehdfh+4XOA7wExM4mPiX8Jvgz4ROAbQUwmdB/4kHKPo/neKb1trfdv
-Yj55Utwcf7j+yYLrz33Af8CfBF8KOPNw5x8r+l0jpjTre2JKE1uaGNusp4mv
-zdgBZ+3iojlYs9Q+X2TMzSJmK/FrWGOx1rpb+XcVva64r2gdNbrquUFfTlx8
-xmZsNsQxYP8j4lujw2b/IThdxB08Pmuu1/tZ9y362OKsy+RdYo8nfuuaonUb
-6EDQhXQqWp/Nnmq7FM0BI9ZCx8ANY78mxvJpYTwgvjcxuYnFPaLieNrYGojB
-z34AcNrgiPGOwXVjfxpioTNmDwi/z14yjEHEZmcMYSyBQ8d+eHDGiIWOTuel
-8F6z1sL+yjqb/W8Y+4kn0p/+mfPaFJspcWEeCBw5+FlwD+FAwj1ckjE3Ek7j
-8sDzhOsIB5JYH8SkgRs5I/K3FJ02+jDs48RKHpFz7Et0gOgCidHF/q3oiNEV
-o9NkvzD2h2H/F+zB2IV5Hu2Feyf9vYCDC+eV/aTYi+rBrPcPZT1/btY2Z2Jz
-3Z+1LRqbAvpUbK7YGrD3wN1F/7K54jV1H/XVu9Jea4+smFPMPXKv2FR/COM5
-tlbueXPgwRFr5eHIHFi4rw9FjgE/NGPeNbHhe2XNnyOmGfsdsCcesQNvyXiv
-vD8jc/Dg3hFfkvjwcErhkrJ/GDZx9sY5K2tbOXy5TRn3IfoSnFS4qejg2FsD
-PQrPGvskOiW+j3D3iDk0smpONtxs4sOxtx4cb7je7A84QunpkbnVcK1/imyX
-ou15BsQkYvyGVwu/dljFsZLY2xQbLPEIiWfEvRIDD3v/X3ACcuaH7VMxBwcu
-DhyLuPBxFXNr7pY0q5ovApcDn5L2FTtqEBuLGFnHwsWomOsC9+cgbBUV+8oQ
-k4P9NrBhol/Hxoltk5jSxJYmDi2xaZdJrs45RjOxmol5vSjkEfuW+dmAwGcg
-Nm4X5hjo6SSdK/bPhAsDJ6ZpxffEvcGBO6NiPhx8H3w8zxRuWDEXCE4Q+zUQ
-o5dYvVNSjh+8ke99znyl/auO8Q1fB04T+z3srvTXKccgJ/7x6UqvgnOU8/l7
-Sa7NOcZig4r9S+EX4VN6VsWx10aF9wc7I3wibCX4qOIfC58SfhE+s/jj4o8K
-Hwmf1rMrbhP8leDP0Fb4DOA7wH6KV0S2F2JPwyaJ0w17wDbJeL9u9oYdmXMs
-dO4fbhTjAOMBnC64XcQsJHYh8Tp7R46vTNuMzjkWOz4T+E4Qj5D9OEflHEud
-9oH79VDOe3+wx8d9Oc/pmNsR82lRzv4CvTLe55O9SgeHueA87EE56/+wxWGT
-Yz7/aMUxOIm9+XjF8yTmS3Bu4KY1LzlmLd8Mvh1nRd5bgT0W2BuV/UOXBvvM
-GZH5PcSuvz7n2NXE2CYW/imBD8R4ie3gjlqvP9hfnf1RP6/1/oXsP01sT+Id
-sp/6qpLjkcHBgYvDHtXsW3pQxntX71x1LO++gV+EvYmyKBN7/12RY+USg/Lu
-yPbQLzP+xrD/GXumZzK2ubF/OfFWiZlKrNQXCt6ztG3G8UrZy5QxjrGOOWoD
-XT+0Yh8UfE+exT6i89dmrK/m+z2lYg4yHJU5zH+K5mz/F1Ot6DFvZeC1s5ci
-9gHGF8YZuEDsUT6fNWvae5e3KZk7Qkw3YrvdWfWzI34qsXspg7Lgxj9dccxr
-1h9wmuA2EYOYuL/E/2X/yK5Z73UGf6Vf1ms01mrsyUKs9bOr3peb/bkHROa8
-w3OH7/5rwTpOYsiiw0SXScxjeNjwqZlfEMMZXjP85sEVx2xGj4k+886CYwYS
-mwkODFwY7KMb0rZxYevi24X/ydbBfsCemumMz8F+SgxvYm0Tc5vx6wbVcVGt
-Y5yeji21Yj003/06Ffsjbso5Bhz8OGyk2EqJmQU/ZyH3k/Ue2cRLw8aA3h/9
-f7Vqmwi2Eeb4e1bNV9khfC+YPzWp2qaKLZXY/MwBGAPWphwfH84YYy1jbouq
-bZDYIrEvV6qOmYd9FP08scuIJ8uYAh+U8Q4bK1wUdPzYXu+G85ZzDC1iaWED
-xRZKzK85Jcdsg5MDF4fYbcSUgWMFt4pYVcSowkaPbR7+GLHr2BuM+Rh8/fOy
-th2zhmOdT0wsOEFwgTaVzA/YSultct67BJsDsaWIMYUtAnt9HeX9lPVeJ+yp
-QKxFYi7WrXp9zFjNmE0fZb7LXgXEmCLWFJwo7ErYl9i/CI4CthRsKo2q5mQS
-p4B4BXA1j6+Yq3mvZN+qbWToB9jjD9sZYyxjLfH1B5dtn6P/n5q17Y94/XAZ
-4TQ+B7cw671mWOM3z5rj2DXn9TrcR8Y4xjr4pU0ZW4puP9qRWIDEYx+bM0f0
-u7Jtbtj/umVti2PMYuyCMwlXEs5l3Zzjf8LFhHNLHAfiOcDFZX6xOufvcbOK
-bTrsBdcya1sPnF389OCIwuXFHs9+r8SkG1E1Z/aOnGPwwKXFRr9V0udwLhzM
-Pjnv6Q4385Ks/ZnwQWM/S2z9PFtiYl6UNUeT2KGbUuZu/qn05zl/w3djPie5
-X+kNPPOqbVHYWi8I89ctOvZjzpzTSyq2SdH3eQfgChADEv0Te2LsJnxSxTYm
-3mne7UcLtu3Axb6uYk4f8dGIoQrXD50aejP0Z+jaOjM+p/1NWKV0J6UfSFvf
-fFLBnHO45+hAr6o4xgdxF4i/8HzenB50U7QZXJ8uyt+ctj2mX8V7CLAPwDaS
-uhXHQCAWAvEcrqjYP5jYC1n0xRWvI7CvMYcjriHx59EFEku+F+NhwRx4bOq3
-FMzhh8uPf0Cx4BggxALZmHJ8DvjQxOogZgfxODpW7XeATY35/u/BZwNfjZ4V
-cwKxX5+fNVfw8axj39YJz3dw1tw0OGrsB3gS/T1te0TjgnUAR6Ztk0E3gA8H
-dhzsOSvQj1fsA0Edji+YcwWniZgrcHGPkPwl/GfK8ULgey9I+Rh521W9pmUt
-e0zg/7I/C3wLvk/YK+FKPZSw/pIxnrGetV21Yh0ce0ljg0c3h04P3R57VuxU
-tU2W8QQO1N5l64iYA61OeT8V9nOl7+PTw/5bjNmM3XA+4H7AEYQrSEwz4qNh
-r2d8o47Ulfivrwi/KjlAeJmkQ8789B2r3h+oc85zJPaio++wb8TW/9OH8J1n
-TkrfgheF/pY+0zboAdGHs0cTei987Gfl/I3jW3do2boedD6sB1kXsT5ijUZM
-1l8q3iuOmIPEHlzKfChnmzm2c3Ro6NJYo7FWI2YWMXN4B3kXGVcYO/BxIuYl
-89sTMvY3JVZ398i+evjstWN+FdlXeHP4Pm8MfKbbcub/s182upbtar0/Nj4G
-+BoQMxpO+piCbaXsoc1e2qyniCfAmMfYx3oJbjtjHGPdWJ3zR9w+f3Ui87uI
-3YBOB90OHDG4YvgA5lmb847EzUGqRN5/HC4Wx8h7lzkJXCTJcOERBeOKZFbI
-P1j4IMnQgu3bzHVWS/phO5B8FbfOv2dIMzatl9yN7aXgc7GZYzvne5ZI+xvH
-t+6+oPtBh4kuswl8ulrvgQDfhzpQF/aomF3wfG1L2vHuJ4f6tq51Hak/eyKw
-7wL7L8BnY8wlNhJrBMbihwuOfU4M9IeEc0XP5V4M+l34AEOVt1DSKvL68IeU
-v1F8q5ZH1l3shM6U9YykXcI+wvhe40ONXzX+1fhW4wONTzP+wPhGs79924Q5
-oYsj7w9yEvocyUrhCZK9E/YJxzec39s5YR9s9CWHhvFwXM5jZd/IvuvMEZkr
-sqZkLYoPDWtNxg/unxhRfF+WRfbPbC/5OLKPcX98MTP2PWYNTywL+iB98Z6C
-nyV7UIwsuL/Sl7EPY/uHX7slbg4V/Ef4Zpvj5lx9LvwNOslac8J2jzxHZS3K
-+8/7zFzv85T3s2HO91lk/258yMcJ963Y5o+tv3fF/Al+a0uw/zFHZq6MTYa1
-P/ax9+OOEYJ9iOeNbY+YJTcUbONCB9s22E+JT4vvED7cHSP3KfoWHLq3sNVV
-rRvCXxnfafa0Z2/7AZK9hJtGXntcWuv97DdhH6t1H6Yvw9mDu3dO4FNgT6Cv
-4WMK3xq+wx2BfwYfAQ4eXDw4gex/+4fkoVpzAOE/wBGEK8ieE78VzLmDe3cL
-96DfOyKyLRCf9mmR/UlYvzPnZu69DX1K+TeF8eAwSSfhxoxRkflyxOe/PTw/
-1pPsiwEntBT5HM5dwZo38p43rOePy9kfheAe7B0Ap7RGeLzKWJd2TBb82epH
-1kezZ8CRkfkn9wufFfgh+0RuSziKcBWJDwqXb0Kt93N6VbIX+nelX4ts/6P9
-Xq01n6dt5OdP/4DvvaJg7iVjJmMn+3tgy4TzAPeBmMTEJsYHCv8x+DWz014z
-s3aG84Q9ij034Z9tH7lv8RtrCuYgwkVcjE1UOBE5FhM25BbCE3VsWdzvwLcF
-xzNi7wL2MCB+zvOR98phD4g+ke2x2HSx5V5fsL17S/g97L1wHOE6pkL/JKYQ
-sYUYw4cVvD4dm/GYwtjCGMdYtyDYt6kjdeUdhQ+KDx2+dOxXhU8U8X2oG2Pk
-DWH9i26dmOjsBdSh4r23mMMzl2d8YO+Zr8J4z3p4Wtoxj9jbiPhHxVr7nJNm
-LYP/GXs6sqbBRw9fPXRA6IJWqc6nJDwGMBa8Edl+11TyStB3ds/Yv5zx9tHI
-XNcva+0PcLlkivA39KHI/GJ871gDsRZ6gDlQxjqA/hXvEYG/XL+c/dH2jqz7
-miY5KTKHlvLpo/Cj2F+Mvrim1vGMTuacWu8h1JN3A51MrZ85z54YxOy3cmbO
-/mqUSdn9w/jBGviLoE9DF4gOGV3yDRnrP06TfFDrPUEO4nsYOV4B86MHInNY
-4bIelvH4dB/6aeUfwHgl/Fhk/wnsG49H/gbxLeocxte1Bb87vEPwrYhB8lDG
-8Q34/nSIHD+COc/Okd9fdFmMEfBpd4ysn6KMncJ4kk5Yp3ZoZL4deZwDXxp9
-G2MVYw75xMxAL70q41gaDSPHquA31xWsj2TfG/a/uUv3d7Pya5T3kdK3CD8b
-OTbJBqWvi+wTgW8ENqLThccyHmJ/Sfj9eiHyt5Z3jnfv2sjf8h0lI4VHR947
-aufwfUcHiC6wVunXI+8ZxD5R7BfFXkJdcvZlZ4887N34p9AX2ZMHf4b+kvW1
-HsNPZL4WWfdUJ2H/CfKJFcMz4lkNlGyNblbyBO9CZK72LEnnyHu0zMw4n71b
-2OOGfX7Y74e9b7pG1sUSc43Ya+x3w94wI0P/Yc8b9szhGHlXSWbQtxmzIu+J
-1TTj/bnYK2tQZF0x/iGDhXtFbuvZ4feGR7Y9/Biupw1py1/C9cSrYa+uuthL
-I98TdT9c8qTwnMi2cd4x3uU3dU+Tio4xTnxr9nxDP4/OAd3Dg5Hn3rwDFwnP
-jdyWk3V9j8gxUhplzPGG642+kzg8tPGDFX8/TkN3KvmK/lq1r/IHKv8P4X8i
-++bgE4KvD/637LX4Ffp/4XTRtvGOYX7HfI13Bf+T9ZHbiLbiGTL+EJNmcsac
-AvxB0L8fnXGb0DbocNHloiM+T/jtyN/nc4L97nall9U6JszXvM8lx2OenHT8
-dtZgxL4kBiZrM3Tk6MrRKaNbfity36UMyrog8tiAPvlC4SWRfZmOCv35s5zv
-FX3JSuF+OvZxrX1Avon8/u2TCJwK4XjRvlHtwnySNHPL3gn7S2FzYW7HHA9b
-DHNe5r5Hhv7wPn0w4Tnx08JrIsf+2VOyVvjDsrkgxMwndj7+KKzNWKNtXfT3
-Ht8u9ljiezw5MpelWXhfJ0WO/0KdxwtPjezLQhvT1nCk4UqjHz2sZJsSus2J
-KduasAkfFt5P+EOsZ4jNNzGsf9ZFjuWCPRduCX2AvkAf+yJyH6OvdZOsjnx+
-14RjLH0Z7hcuymuSsq7/f/erEL8=
- "]], Polygon3DBox[CompressedData["
-1:eJwt2HnczlX+x/EruW/3feO+b7cWmVGY+iWSFpRqahqVUiETqZRWUvaRspYS
-WmgqMjRlS0j2/RdZMkOiyRJFUkKW0E6U5vl5nOuP1+M67/f5nOU633PO95xv
-tXs7N+9UKpPJ1Dshk8nxe0VJJjMrN5PZjjUFmcxP9OcVMpmXZC7BC/mZzEze
-1rKZzHvKNC+TyTREZzEPiz8elfjtiE7YwT+Ft7d0JtNB2anKHuA9zRuIQbwZ
-vEO8DvSVGMGby5tfnMn00I/r0UZde3jN8az2btfpgfi7cieVy2QqSnfid0FX
-3jA8r82FeCkvk+mr3EjeYnofRvD68U7Db9qsqY1G2nifPu6/HfHfWqirJ05X
-/0beZN5l9IXYQpcR+6WyO/CFPi+jv9PGX+mT8RpvPu/NIuNIV9fGMt4C3uXq
-HKnPw2LsUEgvLa/eE40RuutfH3F1lF2qvy+ji7Jv8Pobl7Hq644/6fNG3lBe
-KfWfSHfDJrolv4J6dqpvPh7Xty7aOCBdk18LA3mdeYt519DXohO9Cg9r8wv6
-czQrTOM3TPoR/ENeJV4B+kk/w3sLo8RcoWxV6TNijNVbsXx6Ht3oVtjMW8Rr
-hqHSNXhXY4iY9rwi9S2iX8ORiOFfL30uVohvwfuWt9R4vIdOxuGgfnQyVqPp
-FWjIm8d7RtylyhXgb8q2UXYwr15o/MbrzXuZ14lujmO8t3mDeLXpk+N/8S7k
-naDORvrXnzcBGXq5uH9p7308oO1xxr2UvrxFT6Nb4kR6k2dcTT3bPO88ZYvU
-txIl6mtI/xXPq6uN8vdJd+BfGfOX1xf7lPsI9dXxg7q+QWnpr3m/lknPN0d/
-JsZzRS9l8+j/00YpcbvEnMkfIK5Qf+ro34X61hof8v4g7mJl7hSzQ+w09a/m
-PyLuOlwvbry+LRTXVcxMPCt+AT0NXehp0TZvFz1C2cfpJ9CV9xHvUd4Cda/B
-bH26gdeLt4k+gIq88do9iz9Puqey9+IFeiC28VaLO4Lt4l6LNS3/HTyojcNi
-aham9lbw/o1z6LX8kbwxeWlsX6Zz+ZOkV2K8vNr0P9U3gH4I1XiTxB2K+UEP
-RxneALqD2E+lD/BKjMsY+qj+ZOjf9e1+/TxMnxfz1Lr8wpr8ElcZv9/tHc2t
-/UHieuEscVXwk/3lfvoxdIu1inax1yFH/I/KNeZl6Hnquhtnqq8R71r8Zs1/
-qK120kdi35G/iN6L23jfaWOhfp0d814d39Ov8qfTU3Gr/1Psf5zBm61MY+U7
-o5a6Boidpw8TlVuCp+lfyqe95SplR+MoPTbGi9c4ngfG0b3NtVq56b0wyVj1
-pF/Qxq3yW2CD+L7xfGL8pEer/3W0o8eK+6+YDzEo1oP+FYudJC4/ngf6i3lQ
-H/8i3Zr/DIaKGcIbq70lyn2Ds2NNiv1a3PuYxKunvnG8j6MfeeldFfvGaZhP
-b0Q9cUvUlxNzhq6EsdrIpe/Vxtp4RnTt2GP1ubv6hvCG4nljdguvX7xDpHfz
-dsbcpx8Tt1x6Gd6V171c2lNjb12gjU0xL8Vcx1sfey4ukndKYZrnMd/b8O7B
-i+KGo4f0QjwQ8z/2ycKUDq+qsVgoZgoO0QcxXd5lYq7CYOlZvO9jj6ef9t96
-SS/nD8cryg3mfcV7nf4AE3kPGdfh6r4cJfFOottjGH0vruBVoy9GL+nmvBb4
-TRtfKj9S+hWskjdJTMvw47+jizZq0FWxQvpGcWfj3/HuiVhlnqKfRiO6XGH6
-T2uVXYMxcQ7gfct7l14Wc5XXnPcDr5lyNbGYNwt5+al/0c/VYnbxdlZIc6kz
-f5P0eH6u/Ip0XXxOt8Nm9e1X/zd4mO6Dn/PSuMS5pjc9AJWlf/a7CIvRI/oi
-7tIYQ3kz6LnaKaKLEQezjYXpf1SRfpPXAxf5v6/oV0fprvyrsV65yfaBTtbb
-E9bbbbHm6JeUPVN+LbE78tJzm8DL49XjnRRnC3p4vC9459K7xE0W17QwvQMu
-0N5A6UGF6Uz4DzFDcL+8U+W1xkv0NzjIG0vvMwdfVM9P2G18TlL2EBqKaYc9
-vEYxzmhAD8XLyp6m7B9wqfRlvBdxB30FHpeunZ/6WYZ+Ql9OUH/p2HOswf9Y
-R/n8/vL7i6uDd2Mf5u+11o6XSeeOn+kG+ldZufpYz7ucnsLfLuYwjlqXQ+ie
-mE3Pir2J14buoc459FzUiPc6b3fsi/Rd8Tz9t5n0k+LKxhjE+1dcJW3s4d8l
-XZyXzmhPxX6oz4tj/4nzb4wh71fj0pu3Ic7OMbaxH+KueP64QN5nMa+UnRFz
-hzcAn1VI5+yZ0rPjzC6vsZh+6Js9l3yCw2LOij3RfNlqrjyG2uZUC3HPyZ+D
-d8TfQjfBbOlZvMHYFnOoJK2fnvwb8R99GVWS5lM9um5OWh+v8rb7n41zsnNY
-2VWxt4n7f35bY3VE3AFcwauMzuLO1OY3vD/npzkU5/m59BJl6+enuRtz+E3e
-ynh3Sefy8mMu0cdRPfpP98MW5eoa+8c9i37xjvEsW9LX8Ncag6uy79J4p16q
-z3OMx2z8V97V8X+tpRHS/XgtUE1M1biXSPfGg/LGiRkda066J+9mnBFn+Ti7
-F6R1GevzLTHn8wbRl+FGXr42fuCPlG7Ja4XqYvbjfump/C0oife2uDt4T+J1
-3jS6Gf9T6cO8o2ik3G7+u7yJdC+cxzvGe0p6GtbIO0rX50+l38a/eEd4u/Bi
-tuxk1FT/Xt6w6D89BefzxhSn/x5j0Bf76XVoL/0Qtsn7o7iVvPvoZ+Pswvs2
-ni9GekbfeT6n8huI6cX7nbcu9uKYq8oe4x2P90acQ+Utjz2W96Z0T14fXEIv
-8j/elv443ic56Zm/w+vL20hPRH1xC4rSfTXurddjUHG6c94lPRDr9C9H2Xni
-1ih7LN4x2b17J2+59MJ458WaUe5AUbqLxJ2kMu9y3uSidOerRDdV3356Ipbk
-p/8b/7stvQeH4m6IEbw3om/a3h97ZH7aF16NckXpf02P/xL7Gt057j2xvvVr
-ARYWpnv8am2OxNPa3aAvrdS3jh6DwbzNvIucKVt4xZSzFsqio5if5P+I5+L5
-ilsec1bcBHEVxRSjU9xztfFLbpo/M8Qco++wloZZU21LpTX2N940Zas521aj
-q2By2bQX14sz3InpXnOfuMa8PsqNocfiEW004Q+Urs5vipvEPISZ0s/F+apM
-+gbQoiTdCXrwx5dKd5dW9tk16q9r32iKR+k6/Nvk9ymTviPcTOfgAenB6C+v
-Fn1zSTqb96NvLpW+AWw3Xgv91x6xVlGlJI3pXN4ObOT9XJL2+0/jfFg63YMf
-5m3CTfIvEnd3bip7a6wF6Sb8OqgQ48dry2tGX4AS3h9xg/Qb2Cmvuvr/KW6o
-9KO8c1Espn08T+nb0UXeg8XpbPGlfszBj/rykriPUVvMPWLqonzsG7hTuga/
-NMrEuvefW/gfT2KlsbhTuT7a/oIuH+c/3j3ZZ/6y9FS8Z6xa092Uv0Q9AzBO
-vXPiTBJ7DN0af+d1pPsUp3vzn7PzrYL62+Kr+HaE1eL+Qh+P50vnaOOT2Ivp
-98z7Kcpusg5y5eXGeyveK9LDo21x69V/Af+ZgrQG4xtMUZzh+LcUpH089vND
-9J/E3Znt37W82bwaYl+QnlCQ7lNnx90o3ufaLBd7gnG4O84u8d1M/nSMFX+d
-mA0V0jev9vhAP6fEPhLvebpVfjq7rlf2GG6Is0ycabBITAOxfbLrPPay/fGN
-oSTtcVX5N8U3Nd5WfWyjvVoFaX6dHvcR/m356W4fd/yt6v+Id19+OmMW8fbw
-zo17GTbL65r9tlReepL6FqnrIBryDmOS9D7+4tz0Dvgk3l3Z+fJIzEExr8bz
-zc7nphhFNxG7mfd9rA1cE9/b4juZdCnP8uPc1EY839hzYu/5JcafLoz+4FRc
-nf3ONU99Q435PTgWd3LeguL0fbABHlVfqQpprGPMj/hfVfj54q6MsZH+oCDt
-jfFt80ax82OvjvFTtjCeDz6iPyxI9+C4D58Q39cK0jkszmNL4/3EP5g97y6L
-74C8jdhBl481qWxl5Wbyxsg/z+85qIkNRembYVlxReIqiZujvvKx38dd1P9r
-G3ddftk4F4j7XN4v8a2kKNUdbXzFO8rbzjsQ56F458s7R7nv4rsj77SC9H0q
-zlL1wpdeEfcX/qqS9B2zQLocyiu7TtwlvJnZ88Fo3q/KnY4S6Z3q3B1zX7sX
-807Jjl+v2BvjXKH8FvV/KuZJbI3vEfgs0nE2lfeBmEFF6Vy6jbcda+m12t2c
-n+bWibnpfBp9Pjl7RurJe4SuiorxvHhfi/9V3NvxjcPYfYtZxq+r8cvE+Sw3
-PduTxK6MZ16UvjvHOTbOs8/Se/FtvGfxA28f/T6mZv/HFqzKvmvX8MbQr6Mj
-PaIkfSM9Pc4w2q0Wd/iS9F0o7ok5Oek+2FCfZ2TPQeWz8/v2ovRNfX68y8WN
-ogvFbY39QH/zCtL+3Jefif1M3Fv5ae1/VSF9Yx4V5/icdJY6H93o7hiXvbNN
-L0l3gun0kznpnjyN14Q3gX4Mq+L+r5312TNXhzjriVlakuZdgba35aRn9D9Q
-D2Dv
- "]], Polygon3DBox[{{4793, 2593, 4159, 4017, 1485, 4647}}]}],
- Lighting->{{"Ambient",
- RGBColor[0.30100577, 0.22414668499999998`, 0.090484535]}, {
- "Directional",
- RGBColor[0.2642166, 0.18331229999999998`, 0.04261530000000001],
- ImageScaled[{0, 2, 2}]}, {"Directional",
- RGBColor[0.2642166, 0.18331229999999998`, 0.04261530000000001],
- ImageScaled[{2, 2, 2}]}, {"Directional",
- RGBColor[0.2642166, 0.18331229999999998`, 0.04261530000000001],
- ImageScaled[{2, 0, 2}]}}]}, {}, {}, {}, {}}, {
- {GrayLevel[0], Line3DBox[CompressedData["
-1:eJwl0Wsrg2EYwPF7Dpu8m8JrH2Q5FN4vkZxmIofiU0qKkiRpB7MDM8yM2eb4
-Ky+ufv/rfnruZ7Wx9EFyPxJC2DXD8RAy0RASQyEcDYYwZ8/aj/W8zulTPe75
-CfP2My54dqPPdYETnl/oW33JIq9Y4jXLzLDCLO94b3J60V1V/WDy9iV7TT+a
-SfcWnD3pZefPXGGdq3zhGhtM8ZVNs67fmOY7N9jiJj9YdOeWbuuOmfKdkrOu
-3nb+ybL9ixV+88dU9S9rDDG/ixHW2cMGd7zfq5u6j9Pubul+3eaMvcOofVZ3
-9Z53YvZDndQDepQj8f//6A9t8ku+
- "]]},
- {GrayLevel[0.2], Line3DBox[CompressedData["
-1:eJwV00lszGEYB+CvKBLUkjgUVaNo0aomODu4aDttFSeH0tS0ttaSCRKZUlti
-q5MtUUsrnCS0cRCJELUcOFHL1dIbiZQUXTzf4cnv/ebb3pn/fxL1LbXNWSGE
-PmZODyGXV9NCeE2GNlazhoGpIQxyl272kKaIEn7mWMNDHvGbBz4fcOYB2S9L
-ZdeMEIrlS+NBa57wmFOcpJok+eTxa0oIZ+glxVnW0sQ8KvkyOYT58p78xgW2
-uOeQO/ZTYa6RJOUUkKDfuq/0cJ8rXOQyjbRS75xL8qBzumWG2VRSwTaaOMJh
-UuSx1/oqWWV/UqaNy+XfSfqW+fxT/2GIOcYF8XswbDzCXPU6+xfKUeMgExSS
-xRgWsJixjGMRS8mm2t7xsogJLKGYkjjHMmoojfdQa/0+fW6PNTtYz0520UYz
-R2nhGMfZZN9VeYIOrnONZ9zgJr284Hn8ndyRYat9w8ZDsRfPYyT2IkdlmVzO
-BjZyzvrdsT91J2lucZsPfKTVfLZ3ZiJlrKCBFD32t8c+1X108J5P5Hgf35i/
-E5+VuobTnKeddzw191bO8l/IZTN1dPHZXKf8wXdWOWsldfwHipVzgg==
- "]],
- Line3DBox[CompressedData["
-1:eJwV0jlPlFEUBuADFoDMsAyLUKkN9jQKg4r+BIKFGCUhASIK06MQWUykIzFC
-NBYmjAmoBDrFRg3G2IEgICpLIy0I2ln4TPHkfe+9535fZjndkWnpy4uILC3l
-EbepT0Wk+VwWUWldrZ9hgQQD9o/JYo6c58s9ecg6v/jEGm/5XRIxwgKZ0ohe
-6phwb8X5RxZ5w2vmmSPLFDXuPZaD5g+SEU/1Wnvv9Mtcop0x+/fluPwg75p/
-L/cZpZZmLnKD65znZyLiBzX6sLu33LugV/DC/nc2OWFdTTkz1t/YoMq6kh73
-SuW6vTVSepKv+ipl+pDnr+jdZr/IEnvFLOuFMsGSXiCPc9Ncg2yiiHOkaaOR
-q2TMPPDcO/o1+nOfnVc8tN/vfFufZYud3Dt9f0kSPDMzYuas3kAPffTynCxP
-cs+QU+yyQ4XfMMVLZ1dkK5O535UNHrHJPef/vOOU/81Juuhkhmn2nP+Vf2gy
-l6aD/049WrE=
- "]], Line3DBox[CompressedData["
-1:eJwV0bkuhGEUBuBvojW2xBoFHSHEUuolKBCNILbOmii4A2KNfYxdo5a4AyF2
-M7abIKK2BI/iyTnnP+//5V+K+0ZbRyIhhEnaMkOoywqhlhpKKSGPXKIUytxn
-hFCgvySfenO6+pUewklaCO36D7XaXMOcfs99h2zZtZhnmeeUM4r4iIbwya5c
-sTkm26xeuLbEItdc8cU5c7LLdMuumG+54ZtLBlhnjWWamZcflx/Ux9lglWGG
-2CTGKCNMyG6rWyS4+39Gdkj+Z523r47J7akP3PPLD888EfEugSm5cjWFMiqp
-oJcejp23INOv3yTOIw/c2O3YPeujvm0qjTTwZndk16SfYZokCXL8o2yS9ll0
-6Hfp5IB9Xnm3e1GrnVVFF38+kk+3
- "]], Line3DBox[CompressedData["
-1:eJwV0DkvRFEYBuCjQ4KxdAqxbwUF/0BQY4YZg0RtqdGKGY19iUolaEg0RBCV
-NYZoKPQo/IAhEo/iyfud8733JvdWjk72TOSEEMaIFYcQ5TkSwldJCN2yXKbk
-SVEIp+Z2OcUMx/93/BSGcOa5G3mg8y3vndvsXuW0vHa3wBU7Oufue8zVVBGl
-j0VuueNIZ1y3xjxAP738FoRQJ2sZJMGcXkw2UE+SOE00suddaZ1dueK8xDBD
-rLLMCPM6+zrr5jUeybDJBk9s6Vzo5PmuXDrpIJ8uDu3f7GfN3aRJ8cClXdYu
-4p9mnMtkKQnivNhXsG3+4J1m/U/ZKrN2LTLJH6jLPw0=
- "]],
- Line3DBox[{4439, 4383, 4651, 4309, 4382, 4829, 4234, 4171, 4173, 4233,
- 4235, 4308, 4812, 4097, 4032, 4096, 4099, 4172, 4175, 4031, 4030,
- 4598, 4811, 4098, 4101, 4174, 4033, 3966, 4599, 4813, 4034, 4103,
- 4176, 4100, 3967, 4036, 4035, 4614, 4613, 4798, 4102, 4038, 4037,
- 4105, 4104, 4041, 4040, 4814, 4107, 4106, 4179, 4178, 4110, 4109,
- 4821, 4180, 4624, 4248, 4245, 4182, 4181, 4251, 4250, 4846, 4324,
- 4323, 4393, 4390, 4325, 4394, 4855, 4661, 4443}],
- Line3DBox[{4441, 4856, 4391, 4392, 4321, 4322, 4388, 4389, 4653, 4833,
- 4320, 4246, 4247, 4317, 4319, 4637, 4822, 4638, 4315, 4387, 4318,
- 4243, 4244, 4177, 4831, 4636, 4386, 4316, 4314, 4242, 4239, 4240,
- 4832, 4385, 4652, 4312, 4241, 4236, 4237, 4830, 4384, 4313, 4310,
- 4238, 4311, 4440, 4854, 4672}], Line3DBox[CompressedData["
-1:eJwV0jtIVmEYB/AnkRosrRZdgoIyTQW11ianli9ScOsbrCBBukhDS4SXT+yi
-4iKBOpQ6OBZoF8tLQlI0ZEq6tDVYqaWmn9ri7xt+/J/3fZ7znsM550Tdzeob
-+yJikOSRiLOcY/lwxAo/jkYc55n6MknyKWAuL2JK7wCz6q88poME350zrHdB
-nUcOi7kR84zozcpm/V75hGvUUUk5TXr7ZRnZZLFwKOIbg8xxN/Ns8imN3KaG
-W7S5R4N+tbqMS5Ryhv8HI0pkMVfN7FqnmWaHTd4zxTYb3HPeFbOT6i3GmeAv
-/3jLO1ZYY52k+TdyjD5+s8ofXvGaXpZocX6t+fuZ9289yktOesYEFzlNET/t
-/2KEU9ZddHLd9Y9c/5AUrRTar2ebLT6QMtej103aul8mvN8h2S6fyzGm1R/l
-gPlPstw3rKDN/gPGmSTNjH6J3oK8I5fkC7mZuYfMdkaV/yZXztOkTvGZL5l/
-ytwxajivvwdhRWiv
- "]], Line3DBox[CompressedData["
-1:eJwV1Hl8z3UcB/DPutjmGEph0YrQISZHKaJkMkSudM1s5ZyjmZxLjmmOIstN
-5UiiSdKhRaXcR4XclbMbzZQejp6/P56/9/v7eH2+j8/38/n8Hp+E1H7tM6JC
-CNl+UsqE0ICGnI4L4QyLSCgbwl666VOpRDx7Sofwn7EFsin6qUymHW2JY55s
-mzEHSoWwj/nMoQe5sqWyevq6RFOM/SVDGCKbIVuiX0wWmXQiQ5YjS9QHothY
-IoRNpMiGyhbox5PDAPrTWdZRzZR3UBOpTR1iKU40MRTGhvA352jtvSK1v/fO
-qr/zF2f4k1/5jT84wjGO8wsn+ImfOcpe9rCPw+xiP63M8aO6m0P8wFa+5Tu2
-sIltfM8GtrORzRSwnk/5nK/5hM9Yyzd8zFesYRmr+JDlvMtq3uMdHvE9S9SP
-yOdtPmAps3iL2bzBAuawkJksYjqvM5fFvMkMXiWHcUxhKpMZz2u8zFimMZqX
-yCWPVxjDcAYyggEM43lGMoRMsiPnRUvryHBuL+pH0Ye+DGIovckgjU6k05nu
-PEsXOpDKczxOe3rQlZ50oxdP8Cht6ceTPMbDtOBmEkiiKs0j3xfZa6pRmYci
-/wVq8CDJ1ORGWtOGO6hIO27gTirQkdpU4kJMCJeJ0l/J1VxDcaKJpQQlKUVp
-4ihDWcpxLddRnuuJpwo3cUtkHfa2r72tq7+V6txGDLdTn1rcRR2Kkcjd1KMB
-V9GQe7iCe7mPp2hE4H4uWktjtSnNuOT5aTWLZ3iAJkxgMClM5AXmMYn3mc8X
-rGQFX7KOnezgIAci52ddydZ3Un+aU/zLP5G9dz9UoCVJpJPGCIaTxzRWkM9R
-jlDFPVWZJFqQThoTyGU9eeYdZN6z+sLIePdhPMm0YixjKGANRRRSy11bkywG
-sop8zlNEc/d1U0aTzXY2U9F85fkf4enMPg==
- "]], Line3DBox[CompressedData["
-1:eJwV00tsTFEYB/DjuZC+plSloxI2Etu+i5ZWR1hJi1a9OjNChKCKmbJBBEUp
-tbJCKPoQFhK2GhtFNxZNtB4Je0ZiwcbvLn75f/d+57vnzM2d5amjrUdmhRCm
-SMZCqKOeXFEIv1lRHMIPhtRp9lHOMv5ZN643VRjCILdppY0Yw3qT1kwXhDDD
-Pe5zgEMM6N+VhzlILdUs4I65Tv3p/BA+McITsgzTS7d+RnZQRTs1VDOHCuZS
-yXzmsd/Mu7wQZqs/yPc85C1DTPCYR1zlAdfYZS7rTCfUfZzkChlO0cFxOumJ
-1rOTNnOVcjvVtFPLDurIo4J8qthifYFcQw2FFNFAPTEWso7VLKLbubaaa1Kv
-pYTF7KaZRkopZgl72MB69tJLV/QbPCMpE7SQ5To3OM0ZUqTZSD8j0X37D0T7
-mb8ZvQ/XM/IWg4wyxme+UubdL6WZFrpIcYmLfLFmm2c9lXHX36LzynKSJLhM
-mtf08Ytxynw7OblJxjnHZl5ynp+8cr6PvOE7/fZa6Xsd5Rg5xmiI/gOyRL9R
-/Vy9igw9vOAZf/lDwpomLnCWSSaI26OU/0etbUs=
- "]],
- Line3DBox[CompressedData["
-1:eJwV0DkvRGEUBuBPScJgBjVCq7e1dEKBQkVhS5DQiW0oJSIhIQqJAjGxM3bi
-J4iOxr5vndajePKee887J5Ob39xd15USQojTkhVCBZX8Zobwkx1CCSvmBK0s
-0UY7F3YFspCrSAjXzDDLll29/HKrQTYSI4e7jBDm7c/sFs23LLFMD5N2Cbsy
-czflVBChlErGdOZ0Mv9/n+4mGeYsHsyPrNGvty5veGKTLe55ZoddevUm3Bsw
-b7DHIENss88BfXrDcoQmkhxyRJwXYv7Dm3xnQH/K3WPzKK/k2H/IT044Jerd
-uO6QrCaXPL7squQ35+7syaSc1l2Tw54XZFJ2/X9b86rdpUx4TjWnESVGEcW8
-k60TpYZaOujkD1E8T8M=
- "]], Line3DBox[CompressedData["
-1:eJwV0LlKA1EUBuCbF3BJ4VIGklewdddW7LQULFxQ3HdfwE6t1MLYGSeJccFW
-BLG2FESEuBQuxEZUUPym+PjPuefMDHdSA+O9Y4kQwhCDtSE085MMoYmvmhC+
-ifikQJEbs2E5QpoMt9UhpOSl2a93/LHtbIc+tuinZH5nVq9u4KEqhDrZyKN6
-1/xJ5jigzDN5CmyYR56fUO9TZIppIg6ZZd1e3l42vpN+knlaaGWGTTsLcpE2
-2kkyxxLLdLBmryRfOOaEFVbppIsjsvbOfe9Vfco7Ff2ou93LjLyWe/Yu5Jt5
-2tkHCWe5uHZ+pi7Liv4q/rf6Hn23/AfNxUVj
- "]], Line3DBox[CompressedData["
-1:eJwVz8kug2EUBuDjBmgta6wmhjuQIBHEBdiWoqrm2otbMSaGJiTEEBeAtdjT
-Wpl1TyIeiyfvd77z5s//pfOrY6W6iMhRTEYMUmCIYb4TET88N0acyFOWOWaF
-Evd2XbKbx4aITtlDxfnario32eKBJ7bZYZwznQm5wS6TTJGiiSznOnnZTAs5
-CszSypH9nf99qY+YNs8xTxvtvLqfkZd6e3KBNB282RXlATXfuNCpyEVzhiV6
-vedLvlPmSmf//y16h3LNfoA+auZP+p0/9BI6t843rJM0j7j/ZZQ/wTo5HA==
-
- "]],
- Line3DBox[{4456, 4421, 4423, 4455, 4860, 4665, 4424, 4352, 4353, 4420,
- 4666, 4355, 4849, 4356, 4277, 4278, 4351, 4357, 4279, 4840, 4280,
- 4354, 4425, 4360, 4358, 4283, 4281, 4827, 4644, 4426, 4362, 4359,
- 4286, 4282, 4285, 4850, 4427, 4656, 4361, 4288, 4284, 4287, 4851,
- 4428, 4366, 4363, 4290, 4365, 4675, 4861, 4457}],
- Line3DBox[CompressedData["
-1:eJwVz7sug3EYB+C3Tl1Efb0Dq1RHZ6oVA6OFdOjgArgBEodoXAJJrVyDqBgl
-bcVgwmaQOKwSQw+eDk/eX37vm+/Lf2Jnb3M3FREVCtmIX5Z5Ho/YoMoZk7oG
-nUzEDXXa9Fi33zdnqbn5TCIO5Fvu6DJDZyxiut+7eXHzxQ9tfZMeXV51dTff
-5pz7li5lBkssMs+j/tzdoDzACgUWGGaIIlf9N5lpRlilxBGHrHHt5s3/TuRj
-GjxQ5ZR7+z/7ppzx3lFactZMeLJP2JIv2OaSGu/6PB/ylG/kKJOnqP8HGlo3
-fg==
- "]],
- Line3DBox[{4674, 4859, 4663, 4664, 4348, 4417, 4422, 4349, 4350, 4841,
- 4643, 4275, 4208, 4209, 4274, 4276, 4210, 4826, 4211, 4139, 4140,
- 4207, 4212, 4142, 4143, 4806, 4607, 4066, 4138, 4145, 4067, 4068,
- 4141, 4819, 4146, 4147, 4069, 4070, 4003, 4144, 4213, 4149, 4808,
- 4148, 4072, 4004, 4071, 4214, 4151, 4616, 4807, 4608, 4073, 4074,
- 4217, 4215, 4154, 4150, 4076, 4153, 4842, 4364, 4292, 4289, 4219,
- 4216, 4291, 4852, 4429, 4657, 4367, 4430, 4677}]},
- {GrayLevel[0.2], Line3DBox[CompressedData["
-1:eJwV0L8rxHEcx/E3Jdyko7hcpA5lwKxwpZQSZcIgXYoUyo86sbIYRX7HZkYp
-g6LOIJtsyuQv4OpKycPw6Fnfz+tT3z4tuaWxxbKImOMlEVFMRjzrIfssEFxW
-R+S5c76mowzTToYKyvmoiji2edcH7jnjhA3WyTHNnF1W+2gjw2dlxDkXbDFi
-s615Zhiki246aSVNIw3Uk2TIvRqtpY4UTTTTQT9Zplhm3P5Ar7niiQIJ/9TD
-JBOssmm7orvsccMrb5T4+f9uk/IeabIMMMs8R5xya/OoBb4okvLWaXrZ4Ztf
-u5L+AeqJNFs=
- "]], Line3DBox[CompressedData["
-1:eJwV0L8rxHEYwPHnlnN3o+kmZSKjDSfF5JCLwVEoP27QnW9sit2NpCuRCIvJ
-bYqu5A9Qt5/ZqDAqrxtevfs+z2f4fj79G8nCbioiVmjnIt65otMbcaF7JBRp
-ZyMeuLQ71AMWKTHEvfmgZklznYnYZN18SyeZYoC/nog180994ZY76hyzzbx9
-Rcsss0SREaYZZYxhZpwtdMssc6xSpUbJPtEzGjzS5I0POmT8145zfVpmnyPf
-p3rCL+PuNcFN905aocE5LZ7MXzXvveo882PW0i+++Qf8JjD2
- "]],
- Line3DBox[CompressedData["
-1:eJwV0D1LQgEYhuG3FrWxpSUHt35EY2vLiQq0yYa+sIiiRa01tC2iKSghF7Fo
-aIiEhtYgpabwD+QQCOFWdDVc3Pi8cPCcXHEn2R6LiGXeJyJGkxE9veSCPV5s
-4/qWiWjTosqjvayLJKQp2Z7TEVc0qHBgm9MZflMRn6zaBtrllWua1Dkhca9p
-hTIb5FmjwLz7uq6wyRZVDjliwf1U29xwywf9/2e4fWvK/8mQZZol9t129Y4e
-db+7OmLW+51xzr29o08MmfJ9BrZjfaDDFz+2of4BLNk2gA==
- "]],
- Line3DBox[CompressedData["
-1:eJwN0M8rw3Ecx/H3csCOEuXm6B/g4mp/gGiF03JxoWa1kx3dtqHd1Si/Voqi
-MMzFYSc/I6Wcrei7P4DH4dHz+3n1re+P0dzK9HIqIuZ4TUc8UedzIGJbC+Tp
-oW176Y945pgGV7aSzpBm3fmrL2KHXUqsUbRndIox/no9UBft3647PPDINfP2
-G92jyQGHVCizQdY9Vd1kny2OuKVBizsW3Pem73yQ0GXJPuIdxplgliyr9opW
-OeWEhJp92DfmqHHJma2pvyTcOw/6V0NMck7XdqEdfvgHS447PQ==
- "]],
- Line3DBox[CompressedData["
-1:eJwV0D9LQmEUwOFjaWWjEhhObaFzS32Ami2apcgpMgKnhtxqbmqN1pCWoA9Q
-4KIOajpGbYLZHz+Aj8PD7z3nvXe4d+OoWjpLRESJ4WpEnwc+MhH3WmOTJIN0
-RMt+qA0OuTMX9XMl4sb5S994pc4VJ1y429U9ChQ5tctolkWSJPhe9o67Becf
-5x5j3inbd3VAnwm/pDxbcbekOdbJU7Xb0n0O5jOXdufa4Ik2HabcuvvXbd90
-zKP5RSdk/YOmeU13uOaZv/kzOmLMDD0SMHA=
- "]], Line3DBox[CompressedData["
-1:eJwVz7FKAlAUgOHTkGSjmM6uomblEPkEZVn6BNGQLVlt0VJJIIEN4StUW7RE
-UIMvISjY0JIQtNQb9DV8/Peewx1ubu+o2Z6JiDqT+Ygxd9T4SEXkdaCzmmCU
-jLjgwexcixSYzkVcm31qV+/1kg4tTs0OdIN9NtmiwDrH9iWtsUiZBYq07TKa
-JssSy9RZ4cR+Wyvs0OCQ5v9bzux7esMjT1yZ/egvfedVf6hyy7N7X994JeXf
-Q7M1fdddfeGLb/4AWp0oYA==
- "]],
- Line3DBox[{2780, 2777, 2678, 2636, 4822, 2637, 2603, 2601, 4814, 2522,
- 2521, 2434, 4775, 2433, 2351, 4761, 2350, 2316, 2315, 4750, 2278,
- 2246, 2247, 2216, 4737, 2217, 2179, 2214, 2181, 4735, 2215, 2182,
- 2183, 2154, 2180, 4729, 2155, 2153, 2156, 2184, 2185, 2218, 4698,
- 2186, 2219, 2187, 2220, 4739, 2252, 2253, 2286, 2287, 4753, 2325,
- 2326, 2359, 4768, 2361, 2446, 4787, 2450, 2540, 2542, 4806, 2615,
- 2617, 2655, 4840, 2654, 2694, 2791, 2793}],
- Line3DBox[{2781, 2779, 2680, 4833, 2679, 2604, 2605, 4821, 2568, 2567,
- 4799, 2524, 2523, 2480, 2436, 4783, 2437, 2435, 2392, 2391, 4765,
- 2353, 2318, 4738, 2352, 2319, 2320, 2280, 2317, 4751, 2281, 2282,
- 2249, 2279, 4746, 2248, 2250, 2251, 2283, 2284, 4752, 2322, 2285,
- 2323, 2356, 4762, 2324, 2357, 2358, 4767, 2400, 2401, 2445, 2448,
- 4785, 2447, 2487, 2537, 4804, 2541, 2613, 4826, 2616, 2692, 4849,
- 2693, 2740, 2739, 2790}],
- Line3DBox[{2785, 2784, 4857, 2731, 2730, 4847, 2685, 2683, 2642, 4836,
- 2684, 4835, 2644, 2686, 2645, 4824, 2643, 2647, 2646, 2648, 4837,
- 2687, 4838, 2649, 2688, 2689, 4848, 2732, 2733, 4858, 2786, 2787}],
- Line3DBox[{2788, 4859, 2736, 2737, 2734, 2691, 4839, 2690, 2651, 4825,
- 2650, 2611, 4817, 2610, 2576, 2575, 4736, 2535, 2574, 4803, 2534,
- 2532, 2533, 2529, 4797, 2531, 2573, 2530, 4802, 2571, 2528, 4801,
- 2570, 2572, 2608, 4816, 2609, 2640, 4823, 2641, 2681, 4834, 2682,
- 2727, 2729, 4855, 2728, 2783}],
- Line3DBox[{2789, 4860, 2738, 2735, 4841, 2653, 2652, 2614, 4818, 2612,
- 2577, 4805, 2538, 2539, 2536, 2486, 2485, 2444, 4786, 2484, 2443,
- 4779, 2442, 2399, 2441, 4778, 2398, 2355, 2397, 2321, 4766, 2393,
- 2354, 2396, 4776, 2395, 2438, 2394, 4777, 2440, 2482, 2439, 4784,
- 2481, 2483, 2525, 2527, 4800, 2526, 2569, 2606, 4815, 2607, 2638,
- 2639, 4846, 2725, 2726, 4856, 2782}], Line3DBox[CompressedData["
-1:eJwV0L9KgmEUwOETBPZnKacQInWwHJ2yIcGpaFAMc2kLgqAwN8kbaGloCYWC
-wAvoBiKQbGqI6gKiraUpsAgaehwefnDO+8L3fpm94+3mRETs8j0T8cWAO874
-TEakdDhtziU9Dtinb1/WEikW+J1y1/xHXzmnyBpLpDm0n9VRIuKBLhfUzVva
-pEqFEuvkWWGZLFvOLmqGNDkKrFJkg00a7HBCzZ2OntLnlg/+xufs5n3THGWu
-GXBP1+5N35n0xgQ58tzYVbRGmw4vHPlvj+P3aI8rnnjmH6h1Lrw=
- "]],
- Line3DBox[CompressedData["
-1:eJwV0UFIE1AYwPE3OuSWcyTkIUFwa3VIT5oXM3M0sCCo7BIlU3cKQ5HZBh6i
-sC4ePInDUXkLPHhrBBEIESjEqkMQRFIH8datEiehvx1+/A/vfXw8XufE9K2p
-SAhhmf1YCH95zwaLLJDnR2sI43qZS3TQzl40hD9s8oFVnrPu/gO9T5YMHbTz
-vymEOt/4yhuqlHlkbkkfcpd79HORTpI0E+ffcfv5yS82GTW/pa+pskKFxzxh
-lgIzjJHjJjfIMEQvPZznNKeIk6CZEwzbE9UYLZykjTOk6KaLPi6Q5Qq3GSHP
-BCWKPGWeVV7ytnFuR00/scMudQ4aO70/QYo0AwySY5wSz8zPaYUXvGOD72wT
-/MUxkqS5xh0z17VAkVes8ZkvHBLx72f57e45HeYqk0xRpsJHahwBu3pLfw==
-
- "]],
- Line3DBox[{2757, 2811, 2705, 2756, 2662, 2704, 2627, 2661, 4793, 2593,
- 2626, 2554, 2592, 2506, 2553, 2466, 2505, 2415, 4749, 2465, 2375,
- 2414, 2336, 2233, 2166, 4725, 2234, 2376, 2416, 4772, 2417, 2467,
- 2468, 2507, 2508, 2555, 2556, 2594, 2595, 4820, 2628, 2629, 2663,
- 2664, 2706, 2707, 2758, 2759}], Line3DBox[CompressedData["
-1:eJwN0M8rw3Ecx/H3Tn4c3dda+DskaxKnlePUlguLlSjn3ZcLi4aU5D+YSQ5S
-2tevo8gJR3dGjMfh0fPyefX59MmWq4XlVEQUSQYjOmyxySILTJIMReR1lBF6
-AxG/3HPHMUesssI0hzZTOkyWFH/9Ec88cc4ZTXZYZ46vvogbSvZv2uaWXU6p
-sccaBSaYcbakLZoknPDCNV1mnXnVojsabNOizQOP/NAj7a0ZcuSp0LBf0n0O
-uKLDB13S/iXDGOOUmefdrq4bXHDJJ9/8A+5HPAM=
- "]]}, {}, {}}},
- VertexNormals->CompressedData["
-1:eJwcmnc41+/3x2mRpCiJhhRRSDSUyjHLKhUSIWRkNEiRKEWkZCYZ2XvvzbH3
-3jOjlPV+v0pp+FC/+/v7631d57qv+3Xf5z7ncZ7P63rzGd+5bLqKgYHhLwcD
-w2ry+1i67WKi40d0yYpWMrgxg+8ua8kc/m0EQ3dV9g9pZcFx4z9cXrMUntTZ
-x6C/KgTULnv06yrnoPNVddWMaQpNbxpyLfuZw8ubIy28C23A+EGPx2UDiZt4
-Hyw9EgA7fzCOFEq0QZL3roDM7RRGCCmHua+/C6LRvvbm1m8h+aTtk9EVCo/s
-Ld7LZOUIynoNZ/m3ucA7qfeLof8o1Ago2NxSbw8++//us2OqgLqntv/EkEK7
-Le+eRYk9A9FwLQuZO/egNNlN15Ws35506fN9Hjdg+KJlfYWjBi7uVk/wDKFQ
-PelTHq3nPgyG2v5sYA6EHb5t8gf/Urh7fiPXg3E7GPveTstrjICbqUviq5cp
-XBEa1L5hbgGs3dfOTOpHQYqe30/p/yjc2XDk8eEYC3jRvHZhrCgHNPo2H3P+
-QqHQ6xHGIwIPIWVdwT4p9xhs12sV/v2HwpfGGQabDtvAKp+dts0x0cDYELr7
-5RKFdIO6jsJdZnD3pUHLh/k4sDxdc8fuN4Waniw+9KtmYMPOJaJ3NBYUXP+o
-vCX7HPZO94v4YAaen+wdWspjYbh/IUCGxLOzksZG1Y3BgN9C71xHEiRrlVI+
-i+Rev0qPu08YgdyfDzIWI1lgqpUwumaeQoFX314NKhqBtL6Ex7W2augAhuuX
-3lNof+HuhZIFQ6CiIpVy6pwwy3bhXS3J59P9j2TVIk1AynSzUXNFBbpmb3Jw
-LaLwbFaAwTUnQ9Cr2tTGcTYb+2R/3uOcozDXR7foe5gRZMvtUAljS8Zotbsn
-9Ml5ckfEezJ3GUPZ5mLVJ7WxKOl0nO80OX/C9ttrmJyM4cOr6pWbxkkoUsTE
-0E3WX5dNMRPQswPvEe0bbX/i8OvnJSMrkp+dTw7tTQoyg/xbeaExPtG4cvND
-USDJ546fcGRCyQzmXozZJcVEAm1T1MMQ8l6fAt46bBi+CzL+VrSjkakoWPqt
-c+d3Up+UwiMDPRtI8JyRn15bgj1/3qVs6aLQTEE2Vnz3Qxj5SjfPNYnAB+sl
-2XeSelD4r8DdwtkC1F5lij/UC8Ss25IuO0n9JDSfPt3YZwffbHJe0bpzkX6R
-csn9ROGzmk4F4Ux7cJQ2l5xyqwbptay3gyJI3ZZLpHVEvIDP7+7kCZdWoY7e
-6+wTCRQG61569CHZA/asyh2+8LkaP30VtIUwCl/L2r+4ZusAWTVf9WIXQ0Bf
-+WHYIjlPynP1KIsMJ7jIJxHsGxKJMpKzQqHkvilW9HUTqbbQONb2LNWzBlu9
-g7uuvaGQw7HFLNw5ADxihVeVFJjg4G5/uVHyvnO2frrZovdhpZ/zZFl9I1w/
-cy7p0BUKvbc3VaSzv4Xja8efnEycQM+CGIsPGbPowJQLztcfQBV7/BUD6w7c
-2omJ/XN0NPEteMWmFQhsu3fY2r4pw9lXje7HiynkLmZ9TK9PB+G4fbzvGlLB
-r+3ZIZ4FUv8nZVIfrfeB9B/7ioaUu+Em7y2dEic6Tgv2bWbJiwHn3xl7U062
-gndRd2vRfgoHzH2F4spew/s7tVs/LxXihY95f/36Kbzg6z5y6J4/tB781oiR
-tXAswW0i3pPCQpu8II1qD+g6vU/0blAWXDBtN1wm9XmKL5qrq9oTZNl4rghJ
-5kGZmrKiw0cK09cOOUrMPYMIJaPSt57lMNAexNZSQ+HWO+oKweMv4ZLkucva
-ApGwfZO/mCnJsypIa35R84AdP6+PtFvlgdBqjdMNkxSu4fVhKr/sDkIGmWYD
-vBexpLcv25fkeeiu+t8WhucwYqnEVuQeC+XlGRJ7Sf0zLee92PbNBXK9uHv1
-TsfA5VXiO1eRet5z5+ixF+LOcOmg7r3Tp+MgoUjMuYzUfywj/zFDQ2dQZsAc
-k7clYB+Ry0pvp1DHsKahUc4VZmqGS/n54kB0l3bAAFlvY/tth2OdIxjREp+x
-2yXBi2NrNmST/hpUno7JqXWEbw7cAruEsoBr9KqLOY1CqfDC72d/O4It74HP
-R/WqwUYieeRFFIXtdxLM7jU4Q8IDu7mYLe/ghoDVdqf/cbsmKqZitQv893Ig
-7peyJh7/8Marl9y3+USk42Hfh5AvfPR3nHAuXu5JCb75mUKlCRvFl44P4JZh
-8LYZ41gU816dK03yEBCt6t6o4AI/07l4/Pdn4e9Cw2ULch6JG8+2rZF8BPP/
-Lvis5UvCcHu289/J+eUv638tmnaE/+grdoaZsRjgnsjxv3w+99A2fzToCEtd
-zfrpbaUYknlaLaiZ8FlF91J3kCvwSZzbCRiLVlOeupvI+kN2fxo33HaG1zIH
-tUJzotHdbfMpDZL/E8O3etNJ/m9enTZ16PODtU8ZvomQfpe0DPq5bPoCWmK/
-/WCIPwTeT57oBpD77lKNa1LqdwPnJR/mIY08ZHtqzLqO1FV2nfrpzS/dQYev
-TYN3byyayN7LMyTf9ex4aFC78yn03VyzIXmlANsVQw8eG6bw9Km070wPX4H/
-BdVDyVd9kZJfezyTfLedw0HJyMcFXl1YnhHa1oRpAiWZkRoUGk8E7OBY9xzS
-rT9OPj7Xgl+OPIe5oxSGlrhXszl7AkPuae9T3/Mh30Yl5/UHClf5VDLHpD0H
-TwfHNWNZ3ehndfLVAxs6ZvudPW92wQfYP58/rLPYgd/Sr/9W76LjZTm+mi7j
-BLhTt0+8uvUDNHmWnrPfMI+zbRve12f4gqSvlcaYWDHKD/+0vl1H4TcOo55z
-DulAv6jxsZZ7AKcSjG3uxtBQaPRL7B6GAGDrE1onyRANX9Jlm9noFN4S/7x4
-KDMVBkVus++LLYUKncXyHeUUbrQKOvZLPR32d66/8qm6Giz3qoXVvyUcWGdc
-pPtfLIw4uNANvldCqczdpZ8xFIJBkVCQUzJ4KqSwS01VQJdTV9mbHJLPQ1qG
-17Wj4Gf+vIBQlAdquq7NjyV1W8X/oXPni0Bwzrnx9JNNFnx+83T34xnCzwVt
-vdry9xDKwaVyKKAEnjRwX69pojC1T1v5Q1c00Odsj3M/S4D8g5yWdDJH9ERD
-158Kew9hDoxGQbIN8Jyp/85rSwr3eQma+H3yAbP501K6KxWgLDh+XiOfwgdH
-7l16f8MPku6o+lqyhsBInFfuLcLzoXYeM+1sb7BV+J5gtS4QBpIfrVsgcc0x
-w7UDt/3hfGrxmvicEFCtPS9RRvijVlMYLXg7AE7Mq2TvqoqH+Er1w6K/CAdy
-tmai/CvYVNQdMyyYAMFex753/qRQv/mK5HtfLzDadXZv/r54+BIxF5NF1nPh
-r63dSZ7g4BLguF0xCapXzQ38b1473XTVm63zhPYaE+bG1DTQ2CrWr/WNQsNd
-XZZxJ70hwUVs94f3yWBarvRV/wfp6yaeR4EDHvBY4S5Tj2s2bLy07TwD0Y1/
-doucdArxgM33pJ60VNTDWJnyP0EbCmmsYVaeMR5QWpZRyM6WA9WbCrijiZ48
-6DyTPR3iCUd4ViSUXmeh1PfU/YeIbrHrmI/4+8oDwgoG+zSVsvGriE2XB9l/
-Ms/JN67cAzy/qbC+HUtCK/7z+n/Iee5aXa1rnfWA+2YP7dJ3pqPj8diIua9E
-P/Bwi89c9oZV6yryr99OxHfKgyprSH6sJNbXc3V6At05LgNOx2Ho3VMlFwg/
-72Zq5NgnesLP417oox6Pz/hqcq1I3iRvn/s57ucFTlmid/+2xGGLpXz0AImH
-xQpsMzrxCqqzd6VVbQnBrS2DwpPkvfb3PpJv1AiAA2OqCtR4AHZ7673kJ3UY
-+KKzuELLH85wr7MbmUnH0NgXY3z/f05dxhVSD+e3utTLXazElXtjvc6knpW9
-ij9VhfnB4UYGvy+exei5P/16MNEtg+FrlNvofiA+bPQqSz0TLZ52lnWTeddX
-cuozz5pwePZ7rjWOvwxNXYu21dVSuMnSukejLgosrq/ViNiag0Mpp1JxikK2
-x+2Zj8reA8dVWy6D1kg8bJGmvZbw0PBAzmajtW+g4tNomtEGb1ASzKefJXFv
-fYP1GsFR8CZ3R+JIdhV+5t8snkZ0S8epSxXDX5KBW+4aB1Ueh3M9X9/zkncp
-P1TLfJ0eCe2Xa1w6+xNhT0nO1rPkHa2bGt/crUuBbaUXjyWXV6H/tjihwVAK
-fVKqq/31UiC91tUpwDcPvK6NXmapInNcLeM810g+uOpEynozILTdV6kXfE1h
-aWtadLxxGUyudL0e/FIBjJLZa6PjyL1UWkcTDmZBqJe4a+XzHgiO+37d4SQd
-t+pVBimfyAZG53Q2ldBG+CocYzaoRN4l5rPbiTeZsH8yXDlutgEajndgzTWi
-owbfhx8qjoMIbz+RzB0lUHtoN89AC4UHVNdx2KyKhsm9TsrVTDWwdYef/xLR
-XTxp8dK6kTGwPi5VJY+jCNK2lEczkvcSF4jnrXgWCwN8uQpGk7WwSjC0Q8aZ
-wl7xPt6X8kmglXVZo1z8PWzJ9Xl3n8wL2w3b43iSwqD37dSqkynVMOO22CFH
-8mP6M6tx2O09fH6YxkHGBXjK7FESIP7opMLOqEbrd3DuiKW0bFo82GxfOA+k
-zp22H/mjRr0BlqE2K2u5N2Be49ZsQOqzb40WE1dPKDxZUNvU45IMWwftgmUJ
-32p6dEbiJAOh4qi9LnNNMuw8t/3ZPNFvT7fRmf9+DIQCPt7qKt1k+HtE6ZUX
-WT92d6OEnPAb2KK6zDzVngRr0ts3/Y+TR2UzVmd5v4E14z8YCzxSIKD5gUop
-2WfLxP0CiVUBoMvalMzFnAPJj188ooifulq4sKthzB/aonUXlzblwx5mYRvO
-cQpF+zLnWwUC4Fg5T0RU22fpVf4CY6FkPjoVd0yPfPCHLr9/ute3ZeP+t2w/
-9pG6krPPSrjV6Q88X8JubvbKxm9GIq6bCec1vWOu1Pzwh5Hiptbnl5OxJMHI
-H8k5tS8cejzJEgCdCe8k/8QnYuS5pBv9pG71jojfyQ18A8eTJ/ZXrU/C/QeP
-WoaSuI36ooyAyBvg0c5JvO+ahC17aM8XyD52G9+IPJgKhO0j+SyvuJMwpaV5
-lSlZ77hn5/sxsUB4wWef6cwRgLsuSIkGkvyfzwoSbMoMBUfL9JNjmjn4+3vK
-2G+il9z5ONJWbN7AyKUM+e7v2bj554HAKRJ/Y+UcmDoWDD+HlQ8FParEhtUe
-XiqZFH4X+yMvpRIKwedFmHyFS3FmLsNsM5lf1IVps7BLkZD0eZ+H4qk63PTj
-ezjnQ+Kbom6Ir4QkgfPKrNGAVxb6aFJ3Ioh/Gfv0+0RfWTysFrxq/kwtF9Nu
-vW/tJPkvey+95aBnNPDuSjTcG1eCWuE9DnNkf+8tL99r8UfDVkc69y2hFrx2
-kHVNqCiFTdcemCpEJsLVBx93eZ5rRcvLiyzWW4kvY1HlSZnOhGd3+PdcPd2P
-RVOzJRE5NOQLPcO+bi4XLkfYvNeZqsevV97OquoTbrzUMg/bkwWHOY9v8Ato
-wINbdXWsuCn8j++7is7DSripoShvwliCkgdTjaNLyZy9t9tj0SsbunNf9gkq
-lYFIXbJ3BOkXus/bf7sPlUBeehwf765qmL45tKWN5AEvH6DbDBbBUaYVydgt
-ldD2M2l0mfi1sDLLKsm/2dC16sk89SoRtP8JGLS0Uvghv2jU/EkRyNQz7hU/
-Xg3d+2Y/XX9F/HXckrydWQ5o8469PHa0CqauCX+186bQVzcw4vx4HrQfzBKZ
-7q+DLrON47y3iC/WTvgLXBnwjs3sbvSteuC2v+Syy5pCxi6F75fuJIKiryef
-slkKeCRque4m85H15qa29wMpsESXOH+GXgYfGx2ODZP7Ck3/mWw1ToYwLVqC
-YUct3ExQ+EkjPCkvLllXZpIE/wKv6bVXFoCZUHGgdS/hz3/SwYn34qD7JWtn
-YlUBeGYlvA/po1CakeOBTmgMlLXKNn65WwbPlo3fhhEf9NY/ZsOFj1HAnpLh
-2aKZBbfV9jDxk/7a/IvP3uhPKKzd1vFYbnsGNA6a/Ook8zqw3HnMkjsSeJsL
-tBo00+DG8GdXdop8V8R4Z137e/BIknzUqpsGu52P2E0RHdhcZi+x61447J4V
-X1n6mgYMW7YxtpK4+8ecy8MuYWCtoJFowZ8Gjq+uHnQk+/zblmXl3xAG6Sxh
-/wXWZoKLwts+PzLvmj58VZD4GAJNrqIn3WVyQOTRNe9xMtcKmgvFfC+Hwu8Q
-M/vJ2hOguWaNGi+ZvxfbHv/i2RcKjEGFQ+aMGdhzy8uGl3yXQXlnTsFCCNzS
-jLr9YzkDRZjXf95P/MhM50+BoB8hsPhU7GtnWAr+eDx+uZvM6zKjhI+TPWFw
-8KS+l+/xVDR6g3UGJL6xJTPM/XkYpM7+PCa9PxEtyvp8iwkfWNf8KlM0DYPH
-Ixsu/hlNwszRbWc/EH21e1Zhk2RUOMjbvfr07GIaPmntfv6MnKdhzPbi+22R
-4KbFwmmRm4upwkZfxycozGT9HHttIQyunu3NDhEqw2cOLzrfkvkuWGbZ9Jjo
-7CNSy9z/Lhbg2LKS1DDxyyZ7AmJscmPAoXC6SKGvABnkSvbsJPUQ+tnRVsI3
-Dnhepgl8LKrF0quMTEmPiR5TNpVuykyC15dCOPXEClFx9eyvt6T+b7P6KHaH
-psHGZD0NjZUs3PxF6EzcGOkjoVMmlo0pMBAi/8D2Vz3mz0apaZhSWBezvOVB
-WyII0jMsDzTVoZ6kv85NUv/VS56nv9zOgJPHC/2jRysxPLvIXcyP3Pe2h2sh
-Yz6059WJH6qtxKWtkZrypH+Pb2mwqjHPBhbDoPdKknXYjVYx6oQPDw+LV8p4
-F8JhMwcPN6caXN3etcPnCYVF24qYbJay4YZonex2g3cYK/Sutpn4wUqhqXzt
-o6Xw9p3gwHW2csyXG83P8KLQbMlNRONhOXibJTzSyyyH5utz/D+1yPmn+p49
-masBunx4eJ5sLUw8PxK28R8d89P2z/Ik1cNatDVx/twERVCl93aJjpi8Y5UG
-4ZK62cG3BXPtcLteSTgwmo5vDmPYr7Qq6OEwyYszaIEtJyXO+v6m4yDfSdGZ
-++Vgr7z/uDd7Ldz/9/HbKisKxTgaJRVPFALXhrtWP/KawcJOPWz3TnKvMzH6
-gh/zIeYG23+RFrXA/c/yj+V9MsdX1VvPceVA1G+vVQ6EP1JeJ775B1HYE7I6
-95dyNowbCnP//FUI7NIHUzUriM6UY+jha8gBxbPt9Z/cKqCiQiZBiuil+z8S
-3Q43ZMNirKfZ8p4q8Mx2+/MonEJ/5fH+k5gOy7w36CfNykGJI6p6jvBnMMOu
-Yc3mRBgrkBDU8S2HWqbK1J5iwoEBlqF1s0nw/KGW1MstpVBUeTegmdTnw4Tz
-quoxCWB7dmFfG+H60ZXG2+KEb0Krrf8eTIiGIN7+Z4LKmRASuJnpNYn76XOH
-Nc/Fwpn+6jMxZzPAsEpsKJnwZyXTu+5oVAykClSZn/iZDtN3veVaSfyz7gY7
-6ekYkBeZZvd8kgmR9j0/rMncD15JeZ3WEQ2l97YfGfyTATU6/xRukfVDv+iJ
-8+PRsN5yr4Xe/SK42ND725LoNBn9oUGh5iiovXVfKEFbBmL1Xm8XJbo3PdN3
-fOP5GNgamsodEp+DCxL8nPRJCgOCGBYW0qJgd6SX5G7edNzJtk3sGOGhBlt9
-fd9sNLT5aFYaf07H+yduzDwjvJrQFKs42RcNWj93M/EeTcIfYrlcLwg3WHSo
-Gybt0TCbWz9VaJeMHFESEvWEA+fW9ltJMMVCYJLPfz7G6Wgqd2A4n5z/brDc
-ySMzsXDHaP1fZ4VcjF8YO/mCzOuWareHfEIx4GLoWsn2hszH53KitvUkD8Gd
-4nerEyDuiGy35rkibB7krJ1so/DZ+nmt/vWJ8Iw7OfntYA3+W5awCXEn8yhW
-wUjCJQXE4zlnxtorcVkgb3ZPFOHDhnhbqZV0yP14s7CWuwLPeQY8f5RI7qul
-M3RlNBvub9V/1+hTiJrrmmIeVBLdwiEQfbAvBxz9ntBFDOtwqfvl1L47hOcf
-u/NaD2TBPs6dEsJdDcj62OBF1kUKF1YXUI8isqBVbZEvMrsZtwqpz3vuoPDa
-+lxNa4ECCCrmH09NrMGF9jd107fJnArpCPugXwgR8rS+Sc4WDGX4lhn8Hx0H
-fohLx5aVA4vQxhuu8+34yXxDamAkHQOHj7lWjVeB8ecGT5HXbajKo3pBsoaO
-oSouT2pI/x4av+R2YEMd9r6uqnw3QsfdjvVrA1MaQb4n4PvkzkoMkb+6YeYc
-qXOrA0wVIzXw9PlEqAlWQuwEo5z/MaJXe3u2ya2pg43sMdyxfY3Q+SbslHoM
-HQuovPNNN5vATuBFGd+Xenj4M8rsGj+FL215nM4ergTO7Sr7WcN7gD1przJv
-Ig2/PlifWFrUAEJbC93u5XbA7m/JUudM6fh3mc0zkbkObB/6WPjVNwPH/RMe
-Iz/pWH/i2/HoRxVwviPhXxx3NeFWRo4r8d3pTjvXdKmWAp7+b/2z4TYoUb3z
-ePgjHRWqnOMuJheBcIz3ZQHNFhC8wpzTuYnCpe2hT5JWFYJ5/u/WJnbis7aW
-1ryOpVCV5V5gz558uDM0fZQ5oRLeLJ/iSiH6J0XX3fayRyEwlF814uqsAznZ
-yXQDbQpjgllP74RCuPXHfNX6/EpQTVUKtyU+sT1BbuIGbzY89663dHiPIMO0
-+Vcf8bmsNRJ5eyXTQP6laQBtF4Lu79mlzblkn5B3x/ZtzADzVO0/xTHlIP4u
-xiGAcEasmyFc7UMSnC05t0pnJBmKzz3/xU/6i5t3wLWjOBG2pz0+V0Q4MPVL
-Zbsq0bcpG/48N+Yhesm59KKHWCZ8YqzvZiK6+lU3/bYnWf/rUInEtagM8Hqj
-GhNC4lnf3s6YLCQCv1Crw7uBLPBPe/rv3EcKra6YTyekJ4CAxcjnR265oNa0
-+UfCCIWzHIe36H1LgPrkwWsd3mpQJGuu7ED818nmzvfOGYnwkdlb7rF0Jt7h
-lw7KIvvv7xl/3pKdAO5NHnkzCZl4JtrBs5volqHmoSMrhQkgy7qO//elNPRx
-O5fQRHjYVuXPHv47EXJiDWhX69LQ0y1D3ZfEJ226WgWKEuGxn+7eusfpGOAp
-sb2J7J+wf+dI+fZkOOI4u3hfMRPVIg+7K5D9z1ptCl9+mAR9+teude4oR4Qi
-L+fS/+1vPqW3Ohk2vjphmWBdjnMPnW2tCoje3pFSfUQ/HZxOb/kt01GGYYWS
-4i+LiL9m+RYb4J8On25kZomoVCL0CR/4QvRzTXC+7k7pbBAfOv7hz+U63Lwp
-7pOdHpkXF4cifO8UgrH9FeWwS1XY8XOKOeoZhYZ69D0cD4qgOobDJUu5HNcu
-J3CbJxB/58doaiueD8br3P5x0Jqxav2du6PERwiZHawxkS+E8eEelfiBehQ5
-WRKXe5bCdVIZEk0RRfD0qtP4btMqPLhbM7vInuiTyY87le6Wwk0etl2625rx
-9LJRxQMyx9cdexlZFFEBxpoHhAuKunA7mJnXLtFwz035f1vdGmCH/uwdR58e
-3Pzk2JG4eBrOcB+I5V/XCD88tLiv7WhCdj3zdgZmCu2n5C/8EKuELXQGnf7p
-ZtxzaMmmqZqOpkmZAnce1YJobUvafx3V2MizM0uKj/h6FR5n2FgHTC8G5WRr
-qoCWGiqikkTHf7x7xmoftMNIn87znpEGaKO8Jmwl6ejPvHmnxKpOyFQLLn2j
-2g4+KeICRR503OJ7IO7ugTqwoDk4zZ7vhiVDy3xbpKFQclZ2LHcztH/t2ND4
-pwte2Ty2KG+lYQjlT1vZ0AwLFnkP3pLvrP5tSOtzoWOJwtkRZ9c6SCua99zH
-3wQbq4qNDf/SsfGLi+sa8So4wlsV7vK1EXLvPI/PYKdQZOXQXWuNCjitfex4
-ZUUL2M+tWvMf0TNZ4VcYFcZLweVHgeb8jzpgdJDx6SY8f8K5as39hiIQtHWs
-u1NZDL17V1wPk3mxz2zv0I0dxeD6KaV5/lcNlL7cGDxqQt5Ryz57wK4YTqLC
-89nDNbDHmb03gugc01vDHsPEtzh8WRq9b18DEY/O9zs9In2XnLYsnJYLxZqT
-b2fmEBgui+veTaPw1q5V1XZiWeDeQk+fY0ZIYSgcpmURbmSQD5dkwqtSjyPo
-VQRhXj4TJXUUVsjSvH/yZYL8HY//ImKS4QCryy9H0ke5LeZGhjrpsDan3ELl
-CNEVPG3UFNG9PjrBBkeiM0D96caYy5qZRO9kXWEj+vzLKfGfkwfTwVjsv6bD
-VhlwJvTdywNEJxzb7Xo0/mI6TChzcoSFpIN/RYyQL+FJ+3TPb9aUNDhAp/jf
-WFwAdqEU29MLpI/GZpYHk9JA4tvBtlHPBPTZ3ybUTPRM+taZOgHLNAinD384
-+yMVh5oOPrhP+LY11WbQTjcd1FXi8e5IGjryDiQ1kf2lGDxp/SLpwML2Q/hP
-QRrSzo3WPSPn+aifNn6BnH9of5LBxy8ZeOx7itQy0Q/CJttztq/PgHaBp3Kp
-E4WkXt8J5zdQ6MUeJL9E7u9ysTXZ9nI50sfE2V0In+u/JLwK7soEs9lb7VK8
-iA9ruU5YZJK5Znb/L59SFtwIdhs7uFSNzLkb+flciL/Of7i9pCsXSvP/830X
-X40BU1Iuvo4UjlQz3emiCiBvoSpSRbkGQzqFCt2JHmYrTfa9FFoMwj4yzzfE
-FCG7hd/uqhQKOQ3GTEoFiiExVkDQjacRX9e+viJzmvivyS+X5H4UgOOvz40u
-PC0o2+Xj4chIoVLhnzPf9pdBH9N7LrzQiO0BSWurtlM4dk8wIudhBShaJ/3w
-T23Bvh8zT7GTjkFqMq2uXNUg8Uf+oaJ6GzIutk/t9aPjiHARVubXwa/ln6u1
-bnQg986kFc9TdGRvPvmdXawJzNJafJ/u70ZhhrH1o5U0jAjXkS0waIZb648x
-8J3uQOlI58UqWzouqlfrSp6tg/OygUyvG9vx4kxP8eFZGrIzvgFG6Q6Q+XeA
-OUOqFjcPPlysJt895zvHC5rtYHde8GrJXDVwN07Gb4yn49nrZkqPFtoIVzct
-aRS0AoPcj6CIMhq+dLzeO63XBRK7hI3oS52gvfeLzvOvNDwgcJrHUr8ZAlcP
-FGgr90Atyz6py9I03Cc25OJ4pgMilzRoj5S6YCzDbflBKg3vypW2PF1sg3QH
-Dj9phy4IYKhJeFRPw/ez57X2dLWAeZ7pnRef2mDfIou+hicdTfTljiQH1oF/
-fuDh/oRa0GCfr5MVpfCSaN0/L7ZqONntc7TQtRFclv8+PL2aQt+qZzcv+FSB
-jMrznQcuNsOMxS1PcfJer8s3lNJYKqCq49yuR1IVsI9R6MLSUwpdq6bOR9eX
-gx2HsViASA1s3nVe3v4ChRx3ncQViY7aKWtVysdYDXWO38SOEz6I6MRfvlBe
-BBmKHblWy3Xwz1fN15KsD20bsdlvXgwrfQd/FDVXQGGxwz7nEArZZSQL/q7P
-J3pI1MRFFyFroWJbfBKpn8zc40v1OUDr4B7dIlwCUapMW9QLif5/JDDNyp0L
-SqfvaZ6tywRX0YyzSwPk/PNZo/mO2XC7NW71z9IM0KTbKCQOET58anjJ650N
-Ah7KLNWt6eBC77bhHqbwV7jZow1VJM7zoLd+eyYEFVU3+JL4w4Bs4aTFLHi2
-uvBB/S/ST99SXLcTX2/+qTnE5GA25LOH6A3OqkJuzc7v+4kviB1dG9aTng2d
-18J+5/1IwbjF22usCa/SPWO6P63NhrjaW0ucemkoWHmnWPEDhb3e5sd3/8mC
-rfpH1x7gTcVfInbH/EYpPLJgtOtGdTZ84dSRnk1IxcZPdPEIEu9o51wy8MwG
-eb7ehtNrcjBz1O2FTDeFyq9/KQTVZkNWxxoB+u1iTMh/4OtPdNp8x9ODJ8Ry
-YZZvneKJd+V4oP/jZYNUoiflR7geTuRAruWKZffFCrQdFqoTI37T9lLM2xrB
-fNhSfURb5WYduoYZdd/XpHCg21jeKbgYCjolPW9pV+GgcK3rWlIPem9nCnM/
-FkFf3d/7201qkdYaMDCkSvxC6Lt29W8IGxhi/WMFER1Hs+w7ia/plj8p0TZZ
-DgYOvvUsHk2oFn5qYu0GCvPjK1P5RSpAJ9y9KuNNA9Ebt+D3Rgozx5cGQrOr
-oLCRu0bMuwbbpQ7d3n6Cwgy2LIGnB6shTGrrl7zwVrSILdz9XwgdD6U9KPFs
-rgN7Hh5Z6bxOFN1TLc02TsPzF4wktfhb4dRm3FUd1Yn5iht4Eyto2MvFpPFJ
-th2C1wfN5/7txsEuSf5ERRpmRgd7rph0gLDY8a3MI824d+ycwydVOvo+qmCM
-12uDmkO2Xl+y2vHNnNXWIlUa3u6hTT1R7QEqwmWdY0wd8m96rVj4gqz/6y/C
-SPqz9JVy6KPFGniDdjnqdTScFe37qrjUA1OZ13pOaXTAxk4mbTt70teb7/6X
-NN4F7kwGVh9iuuHKpiMz9zRpqGaSIL7GogMOOFjeLjjTC78vsq45nTCPM+sq
-7V3/dkHI1lMQ4d8NxRN3+ky4aWg6NGYtsrELAodE9vbnd0OO5liEjRQN3Srk
-OAaZO0FwS3r6ons3nGIol1xTTMPWyZaX4r1NICtv+8K5jtzPRBKKXOlYtNU8
-4f2xekiXm59JaqqFTvM7l6SIDrF/8l577btayP2g3ZbD2QY7PE9VHismOiR9
-ydRPpRqalrbYZg3VQ1jc23Dt3RRa/3CdHJyrBI3pDFp9RiMc8WA3OraKzJHN
-F7g+3qqCNecM9VUja2AZX7ZmkXrb6JBXXNyI4O2TJ3AquwZYr88F/zKgkLlq
-IPjAQimEOEhb7xWuAsswf4EvzsSPP33D26RcAkZLrAWG6RXwzzPbYeYNhdn7
-Jb+0KxbC54tpBbv+K4e0vFO9OZEUHlBk3dH8pgC8aBf0VZSKoPZgeO92oreT
-dkwvnBnMhxM3hulfPiSD5HKFYl4v8ZX2YW2Kp/Nh/5bmUaHFNGh1+/rTrIfw
-01XZeiwvD+qGtT9XS6VCgmmFlCtZb6kq5pQ/kQeFIlYLGw2SQXeZjek34cbo
-qfAXW/3yoOeZ5jk3YTnoeaD3doHM/e23UCldIR/SNDoHx7fH4u6/r2K+EV+z
-a59l/E/LPNiycGJqrjoJFXIUCv/3Pxw5oQtKDZ/yYHCnnO46lhQ0OMl6dgOJ
-X77d+IwvJw/0uKNmmPdk4JzH55r2DuJrHn1t+/EuH54WLtrVFhTipuZ5wxjC
-TyUX/mFzej6scVM2nLlUjqUv9yYuRFPo8irkyaeMAjDYAycClSvwsOfHsp4g
-ohO+73p126QQpBvMaoITKtH474W0rcRHcHDU9964XQKVqrFD3Jw1uL/FdCqX
-6Emv6KtLrrvL4MWhvRNtY9W4R14tuuga0ScT/pfNfiOM/fffD+PBBlTztXBe
-IBwAFctRk9dVoKOasbx6qQ4Lb0+yjApS+EPwkmsMcxU8KPy+KqqwCaX5qXGn
-STr2b+VvLTlSA7Vb27fdf16DO0z3bk3bRXSp+QBDXUEtsO3PGBo0bcU7Dqti
-Wt7SsVzh2rEi63qY3dW79LWpC7dqXeb066bhPQMr8U1CzXB40zUbx7ounGA1
-lArWpSHe4ny5INUJpr3W7jaVXfgh/hu7wFEaDtWkPhST7oIk5hj7XR09WHN0
-6VFVzjz+2G+9f0W4GzKuif2uzmxDNWVJGa5vNHxBvaVd8uuA3AMjx3hzOvHB
-XZ9G4dZ5XFBdNcXn3QtxztZPFQ43YF3Vf6ln4mgoPHCCkbO/B6Lvchuc4qyF
-Yr/s6+d+03BTe3y8Qms3KP6p38Qf3g6KGfl7/rs8j3Utlrw3zwySehK8bb7Q
-AzzO3/9xpsyj0BIv7YVUNxxLU321fl8f3Dqfu9Hivzn8srbMTK+2FzrCrurc
-K++BoyZB39Pt5lHpjcQl58QemOj5qXVtrhtkgoR3q62iYfgPT5nnMl2g7Knd
-smWuC4p2HfuVY0b8zk/9w2HlHVBUHDu9LagLnrM2rOIh55dIfxdVl9wG/5KS
-Z2f2NEGRR5S2SCkdbYaPGt+UaoATUX1tfxqrwEk9N2OMjcKnl2Qlne82QNWi
-xbtDxO+IZRrZ+X2g4weTB+nKr2uB5yuL56OYJjCyPapmP01HWtjNrSsl1fDt
-A03Z4k8DBCXLKG1cR2F/OZzq+VsFyyJ9K2I360Bq7FypsiSFL+wtUt+wVQLT
-/q/cj5Oq4ePw3CLoUzgXH/74waYKWBPH3C8oXAmlqZIyiU4Ubm58+X6Aqxwc
-Nv06qiaKIHmjsPUL4YmxeOL+Y+tKgPJfRM3JYqANjvCUx1Ao66uvna5aAvLr
-yx3Z0vJAMOpXUzPhyakyDwngLIb3ckcTDygmw8ipfNFtrcTv+24e3qJSBPKK
-A1wOzBnAUDvcKVVPoeLZwcP5dUWQf6hjeTV7GgwvQJleE9Hh/1aa7IyKoKz5
-/vWiy2vx3kIaxy8y950etfEwPCsGFtl9d6Zz4/FYOGscG+l3pR7We/WSRUC3
-qX5e25uInDrDXgztFNqdyFxjwVoEnkFGKzeKU/D7VtuRnEbip9qWTz37UQST
-24aZtxjn4ajIxAldwgfhnGfd7YLFINrbSR19WIwMslfON8cSPlxXWX/dpAQ+
-Oe7bqJZcjvws88HP31LYp/DakG9fCTjtMlfUb6tA1vdT/8k9ofDcda6+Ialy
-8C58Gsd/uBrVh3e9lDUiekyIgt/8FWBQ0R5/sa0Wf78MihM/Q+Grr2OGNKFK
-cNLxjFWyrcGj2QIeTETHftmz7sKoQQ1YXHSsYCcDovKJ6pbL3+n4BD4HXpmo
-Bo8Ed46Qrw3InRrZt22W6Hzfgbfvs2shj7v3Y8VYA9ZUF2iqNxBu+GkwywQ2
-QGrexbkN5Q3IcPWWunwLHWXmowQmzRvgivoXFEjoRM5A2cSFahpW8vlM6K5u
-h10O+Qcvf+rEc59PJla/oOEGhos3DKkOkPcfZC4Z78IIL+lPiwI0LPBpp1SI
-XmeSleIzruzG70En9tx4O4/9Q0yfN33uAYdXfRufNg7g1YdHvBTF5vBHzfW8
-2fk+OB5yK2GE6sQXW/OLfpF9pt7wHXYx7gZeqeu28187MOLcqRDW1fM4zJ+k
-zPRpEJq1hP7tcGrAAsZCcVXCMY7BnNVs2d0gbxmjXHe6FtY3hsxcSaOhV1AP
-o4tdLzi+0uXhGO4E/wCT+qXSOTxzjnfbF9shMMxlYb65tg+S0xXX8HybQ5sc
-E7Vqrj7oOrRpawEOQgGrBX+4wSweqtwjE+U+CHcjgy+LPO+HqX3LLcqn59AB
-SpLv/e0HVp7jjVYsveCS8vn0UZN5tA87T2nl90BvUF979aYe+Hjr6KDp8DxG
-qPEwzrJ0g+nN2eVW9m543Oqw5sxZGu6OyNS8bdsJj0/+Ouqm0wFTrde+8/LQ
-kXVW2yYooAX08zTzPs21AJNE2qV/d+h4kl3eOHy2CfiO/9lrzdQOOqnn+HOv
-0fHmn/QE3eVGMLNs/GH0rQVED8pmjBH+B51eOO2xVA9rWLpfrSw1gvjDS1Ie
-H+noqlkWz7GR6JvAg4dt+BvA3LFHbQPxR8KnDmKxZg0wV9yrZr5RC/fVbt62
-OU7hgo7b4sDNKpD30U/YaFkFL7xVtlgRnnQKiiSr3iccWdI5a8tbARWvOM0C
-iD6ZUlcqqWatALWCpoOCN0qgu0SoupT0i9QhY6lB43I4zz4xKHKvAHp48z7H
-E55k8LY3brtcDiwp/pkShVlwaGJf/rZsst54UfnX3XIQSNl3/+aXGJhRKp2d
-rKawcJ7x3I6LZWDfGHCFgScOPF24VA+QeMA3mdZ6tTIwZslUcpY+j3UuT4ub
-6ojfUTk7c/1IOVzdp/iJtygSq829P5mT+PID4SDDPWWw8FpKhC0nAY1eXrt5
-r4JC73p5dhvPMuC/c6vp11gWlj67/PFZFoXHZk3MRV3KYV7sZs6ScwFOMb/q
-OU7Oz/K7foRuVg77+JkvvmApRdoEiz0VSHSU5OXJqb9lcCmop6zhKOKvjogb
-ESQ/HZUpw61eFTDgEy/2WaQK+ZkdbBeJ3ltYvN3L6lkJoTW+mbRVtbh4w1jw
-/UkSL+F/YPW0Cg4N8cdceVOPHwtn87OYCX++ieh13quB7UmWfEmKjZj84Iym
-6RwdxWLDnn06XAuMdePH+JpqcUz49dtvNDqOWCgEfPRuAC/1IBOd2Tb8Mpy3
-ZuwKHfVe9W4RcmgCXlFrAVH3Znz/PKq2+CkdBfayrlbd0wxX/oncqNnYickn
-MnPWj9BQ2pShmHO6DebmNXnXr+7Cas5yjpsWNHTdrfRaNa4T9E2rL7J/6kKm
-hu8V/atp+PzjqYunznUDW+F9L1pPN4pquBez+sxj8XJvYvR/PdAQkqQUrN+H
-5qFTL8F8DqMeh3Z0aA5AqbziRAFbP0bZqBzr15vDnIFbMYdH+0FUJa+yVLcX
-kwb5PhyXnUeZ8/eNrPf2Ao+1aFPy3i402b6P57b4PB4f1TfZLT0AoqP7r9ZR
-DajqadbF6E7DzReLXFMu9EJ393qzjSdqQV3y4wZjIxq+PWD3jGLuh/uKNRy3
-9bqBz2f10IaEWXzJ2r5xOXEUTNd4W+dO98ECL8sOsf1zOB5ZMb5tcQCWBwe6
-Es4PQF2AVue9p7P450ZpbpD+EDBJ7xU9uKofzK7UaGnyzmGYjzSj438DcGeP
-rF0kSx84US1HegvmUDuri/OaSD8E8ZmNzK/ug5DCG91D6+Zx/7jXzx9JvYDy
-0XLx3D3Aztm62FAxj6LZ/XvlIrph3o/d/tKPLhA2NIi/rU5DZ87DyoWanTDX
-opuWW9cJh29yLzhn0/CqTdXx+Jp2kD31+/Q6jk7QeOwtXDtJQw3j6Tfl99tA
-qWh9x6RaG8zw1pR7kHqo4E0p/ybeDIMTya08Yc3g7/A9/nQSHdf8VYpO4mwA
-G2/csTG+EUZlh2KG2+hoZl+j1n66Ht7sLHXUHasDkSpeuwNrKOS9FDx7Pb4W
-rM5fsGmgVcMV748BT4mfLXdf9bWwrho0BRovDBRXAG9Qffve6xR6vA4aSflc
-Bclqh3mT7MvA7+ULbyFHCoe9U19mFFRCbnhkmcnlIjj895RQmSfR29ds7B3f
-VsLhyU5Lf6sckLSXZvkbQaFBpUhx3I8KuL/T71wsLRb+Xm7/dZzwJPyI2xbR
-1gqY1DoYxXoiHj7kpyS7kL6OG94Rs7+hAgp3+hXkrTNGDu9HzOJkfYWjwca/
-7yohsDT7wOp30SjbeuVMVC6Fv3njvbgzK+Dtvl2a/zYn44adp/L00yh8rftE
-wWy+AlZLiFmVbs7FiD+3wneGU7jumvV86nIF1H+x/9TfV4Titt5fkzwI3548
-+dATVQmDGgXXI7vK8OHCjmxNBwrPyxv1eNeS78b+DbzUVYFROoM78glv5XRy
-NsX8qgK53AsrpePV+Ot5kJMwyWdu/JMItZFqYFsRsO6NrcM39xm1YtdSGG1r
-PfWpshYkqULlwBONOKcSdHCsi47IFCGjf5281wHwvfuvCVVDFgP/ZNBR316U
-6jnTANHhRV+fWrTiB2+uB3lGdHy2TvFQ0Y1mCCh8vWfdSiPmrNq7HHyPjr1/
-mdZNuLfCr/HNU1X/OjC7jblNv4mGA1f7TnGt7wCXy8YL3gxdeFqrv+79bRrG
-6G/5vejWCfeTciqCv3bhUiHHgcjpeaR1f1A4M0Lm4kq9jHdOD44Xatx+JDmP
-Xrr83S9+98Jmp++Sk8k9mO2hsTZ+Zg4lXjx6nu/SD8GrC/aOlfXitnuFnUfO
-z6F6191ga61ByJHKSx3z7Mdjra97GkNn8WKySHlp7BDE6xk7FzL3Y9Giyfx1
-rjnkNC2InOIaBO0Ftzaj6z14ZmDVG+Hns6jiJLWl024U5qOj791qb8Kcf9fk
-s4Xm0eX8+VF35WE48vCUxoXSOpBYn7JjbGoOGTYeLTCSHAXmNddU+YM7oDLS
-qS71+iw2MHX0q+8chwdCBk1Xp/rhkbHBYrAp4QO3y/3wA8NQ8tSzWblvAEJU
-3B2ZU2cwLPyx4V3mUTi82m3qX30/lJkzVXdrzOI+dbZrZR7D4HBR9aDeXB8c
-nb74r/LvLLozVGx8HToIZz7brzbl7IMvJxWK46rnsNta9/L+mT64x1+x04GJ
-+J5TTvmNYvMoVssqcbSjFwTN+liTJrvhY4xA++fueWxNZNxVZ9YNgn90AmvT
-uiCyK4276hwNT7O13zPp7oQTOlu+fDDrhHtueasd02n4b/Wpz3I3O6A5wpPR
-Z7od/D67ah9nJnpDvmr1ljdtwNVNr0/0awHahFhV1S06xh56FbDTthk6Fjnd
-xBSaIK9DtTkilY7fHQbsIpUb4bzc4pdTfA1waNvwgw+kPlOkRdZZPGkAnucr
-JSybayHMVJG1cBPp96uflIvu1AE0pco3JVXCwQaBhL7TpE8vBf7D27VgrH7u
-4dyJMmDzk15sNKRQomdkfYl1DfTPyR7e9qsQ9p8r4xsnPDkQxOY9o1oNCUUq
-wQNPc0EuUCyQ/wWF2mtHxR1lq0Hmjqza5qfpEBxxf0krgMIIRSMDRc1qmH8U
-rqUtGgVajmcO/ntP4fMbikesFKrhXpFwT9b2WyjKvsDFEUnh4p178fHu1cB0
-7bXg3hexOJpxSX0mlMLk12aFMWerQWevO0t+dSY659/y3uxLocqwfGugTjUk
-l7JPZA7kYeSZdWek3YiPe6UvpKdcDbc7e04c21OMnNPi0bkPKNQN5YsxulIN
-I/dN9FkUy9E1b/PgWT0KtS6q/vz9sAbuCm21tt5UhScZfDXsCR+MLJiYF5/U
-wluGaj9OlVr8Wr5G4wwrhXfsXq18f14HZlapT7L2N6C+dkascCcdS8SkUwXD
-GsCvOuRpCmcTGkx8XLiURsd8pWABUetGoMHJDDb+FkyWvJiPNnSUXye2147M
-Ca3VzU3LAu34+IO2/Ut2OhaMqJh2N7ZBiCxH/JeODrSIO5msgDQ8WlkiP/yy
-A9Ie7o0r/9iJnsH85x4Z0nAJvnNm/euE7y+jc0cnutDYTiH4yeI8vvj9S2wy
-vBs2uJ2uFGjoxnGugFvPr83jbmmtnGKi23dvj4k849iLuaaZV+WC5nBAfC3n
-e6UBeBmZO5dt3IsJTW/H10nOYam1ybMTDEMQxqWgEXylD28lIRq+mMVXXUvc
-rxaGYU1O+u6a+X5ksOopEW2ZweGdBpG7dUfBzqTa/nlpP55Q/j0WfHoW90Sp
-GCbODIOKUITvRpFufPaIl2v97Rm0J3OTdWoc8gbvcI27NaJGn/VPj5p5/KWg
-83s70QnvW1eH7+mtATVOnkbWmHlMF9/0bDZoCLrLHRd4ortBZ0t08IUDM1jK
-J3PL7cAEiD+6IPKrdgA4aH0ThqIzuLb7JEtVzQfwTV6IO6s4CGzXPzGqNE+j
-xc6Jzf+9G4OiXidJwdsDQK20FjQ6z2DI547Hqf9GYT8L65xbaj+o6Bw6Nik1
-i05XXnOlrQxDcN6Kx+aEfrh2K+a8RsYslhSEqsyfGoLXPFcvPB4iempgIu/E
-mzmUst8GuxkGINr7K3+oci9YNxZ6VbDNo/JHO23rk31QayOin/qkG44xxx4P
-ITyJ/57gu9LcDSnOcdG3DnfB430XoiRUaDi+tI09RL4LxKjJdJ6hDmi4fONc
-eygNJ9ZmHpB+2AlJgpP3jLa1wxml7cdc19HR/43Chfeu7RDLHX/5xKtmEHdq
-1HxNfNC9MxfPVum2gOrTtO1aKo2QmL2k8y2UjmU60+qMds1AW07z3yBaB+Yc
-15weD9JRIanG/l9jI9x3L093nauC3SkF6WKcFH7f0lMl11MPt9cK+SS8K4dB
-jjK+J0Ch8lgOo9OPOvDM8PizkbcQLj4Ky9cmPNntxOW1m70O7Id3MK6ezIJj
-jNxPXthQmKXneC14bR30/1ExulyUCCpZlsOO7sTXd4X/mtpSC9oOkWPOKmHg
-rPrAoOYlhZkdwtpblGuB5UinUUjJAzx98JKNHtEDjFcXpabGamHS5f2RLM0Y
-vJKsnvadxE1kvv7zU6mFl3Q7o7oXaSj3dZO1+DMKt6wq4DLlqgXuzq/Hms7m
-oovMumeOVhQeYnvMvm9DHSzP5IYpQjE+MQyO2KNDoc/ID2qauw7edc0V0qQr
-8L8bX6lzksTXqK/kRzHUQ0N4cUdnVjUmj0tqZRM+1Joa/Yj/VA9P+lM8hWrr
-8HOd1zsbwgfz5soLFmONYJ18PHd9QiO21a+19wwk+WeI/XPAl3A+0oM5ObEZ
-LfeObx61ouOjte836Di3gNC71dUxH9twzfxmvl7yvid3Z919mtkOszWtq9Z5
-d6DVnOOsdjQNv7gyOwQEdkKXKfvTvsROvNZG+7lJh4b546YpHBZdYCHksDWn
-qAsXNNl/j8/NI9f5aydhpRuuJtg4vJDqQbsNu6tljsyj52tBHwvnPvAzZnCI
-8+zBrU3PWtur5vC0zLcTEpcHwOFAprropV6szTZ4+FiQzE3hwG086kMgHLo6
-5/NyLxbslhnqdJjFqyW3wOPeCOxVWDxo1NGH+/QTEm8UzqAO07UfZk4foPtP
-5Oy+4wMo6L5VhvZ1Gkcj5UTkfo7Bltr968KUB7DvrrfDmOYMMoju4xGN/wDf
-jXe2FrD0Yj+97MNo5zTa73kh/fPMBFwS5Fra/7gRQ28ycHM7zKPDdCuLmNoQ
-FBuyHnC3qIF1NuGO7drzeEnn3MEfn4fhTUr7+lDfHqjJtKy6+uML3nm945aU
-zySEG/6VKucYBI/cv8nc0tN4NjolekPeOOzN4JPVCxkEK4+lK3cmv2Ba4dSJ
-6TUTcPzY2wdmhE//GV+43RMxjYPn8ncwio3DzqaGkGLhQTB0l9C+Nj6NtxOa
-7zFajYGB37oRXq9+YE9OHBs6PovMWtLsfwRHYL7Vw/Kifx/MZKx/oEzN4vFX
-mwVkDw6BuurzS9MOvbDjJef38eA5PH50q/T4mQG4fpFW9fBUD3Smb5B1vzKP
-o2ZPCwwbeqHeWuETx+cuePXNqj1udB6HZlfqQwV6YBXX2i83/+uEFFO2nyb7
-aWgjdyJPUqsbFFjEJTjL2sG40FP1ZDkNy6Teif1z7ATxxEbLxM0tICB+s1NW
-go6PJ8Q2tJe2wzvOuKC17o0QztBcb+FIx+rrHF5Sj1uBn+Op5FGuemg/0dOY
-EEdH5qW8n2UZLXDcO5t1e2M16A2YKnWM0zGi7vW6J/ubgUdhzHC9TQWYz0eD
-OzuFy9frd06MN4Kzt2bef3uLYcwogd+SzF/6g5+Dx4Yb4EpDZ+VznRw4ecPx
-9B8tChPPypVd5WiAiwxn7K9sTQLBma4tAZYUTsuKy1a61sOR2n05nRsCYYjf
-3PC9NdEz57SL1jA1QJ6s8YDgS08MEBt6rkTi0c5BoqICDXCV49wNafs4fLuk
-INlN9nlZMRFqVlAPFQcCcjl4MlHnwFTh0g0Ku9b6Het7Xg+/Z3uSlWrzcbjK
-s8ZfjfDte/a2h9saoPz7eWU33TLMnjT6GydC4V4d9jfpEw0g+HZ7dfpMJZbE
-WvCvJv6umMPd9MhsI0zId+9+uLUWLx3idDIi+k1vor3c6UgzfB2+qkMdaMDK
-KqNjukF0nE2xvp5X2QJfOLn127WakI3T88Mnog/3GF5U1H7bCq/nnloEh7Xg
-4SGBfwxCdDQw+85WP9wOwmpHN3TPtePtdfcV+QtpGHq22H6jTyd8oE5UVrd1
-4jf2Td7GQjQcOmzTYGvbDTfyKh/T7nehRGp20jfiL5rE/z6OV+sB47O3pm8/
-7ca5esHV/dbzOILpH91WiL8+5RjRY92DbXzao4ulcyg683N00Y3Ma5YtPerH
-elHy+MZ3j4l/92oMWGvuPgQvv+u2DH/pxeu32loe285i4JJ0j2joCBj8nBN3
-U+1HzyfcyjP8M+jwZVfvAMM4/I3+PwrNOxDq/w3gSdEiGUmJlLRUKpKip1Ik
-CkWFrIovCRmlKVKEyihJoiQSKVJE8th7c8u8vR0youV3v3/vj7v7fO79vJ7X
-6+6YBdc1yLiLlHFXpMZFTrbU+tFdNHha4yU75kbGxjX/aMtkuGjjOe5RbUCD
-U0XFEQoTZJzT21m7IpSLXvOEubcdqRASqJa0IIyA7XdO5687ycVdY1+fL66j
-QZ39pra/dg1Ycs8wYN1mIe7YrqA9E9MLt551HfLgVIF9J3lFqYwQX8tvkuev
-7ofLxe60tOZO0DFvy8xMYaNFa4rLxWdMuBJvZ+AtnneJWef7x05ycHHYigt1
-PBp87mi4cIBIgXPfV4ZkjLNR6u+z5ZGb6LA+5kf9f7vFXUUJhTe/2bhs8vPC
-5H80UFN47Vj3mQx5V1QaHvly8UZ6+ZnuGCqsXaX80UydDI7VoSKpIB6e39Bx
-5ZftAAhUI2UHBCRYbOOvlC/Bx2rdn2VR4vsZEEkKK1QhAtlj6N2qWQK8tT6y
-PN+8B8jDaSY3qd0wTbMf3NIhwNOL7oqmq0kg7RxY9je8CxR+QfpeTyE6D/uH
-rFtIhMHxM+kspU74pfataN2IEGeWyz1rvtYNKyO+bL7zpB1KttXsVz02hFE7
-1WfvzOiCiq/9G1MSW2DsjqjGkz6E9q12LYqXO+Bv6MHnXf6NUL+L4uu5R4RW
-svtj/hxuB0fXwFcqnDowjHXj3booQoXJJbUnctrgc0D7fcPAarAfbT7nJ+5r
-/ujiXbRZrZD/U+nk8Hg5cDoDkoPZImwUzeIzUpuhcFXfDXdyCaQttBHYyQ/j
-sacxvm2hTeBzZBHkFReAzeAN97gdw2i44qBzdGYjmHfKKp/Lz4EzEk5qG/cN
-4/MHgT0ubxuhj+Pp/3p3Iljlt+lkWot54l/ldGhFIzyauyZgJ/MeHtBwuic6
-Noy6vjFesr6NEDZPLUU9+Q1GBYWS1EyH8e62ivVh0Y1QpTcWnx2dj1xVFs7e
-P4yf0g+UmC5ohJ+nNyYY3P+KVX9qs6hrh7HKIjv0pPh1JT4WTTldQLQ78mye
-gsQwNl/mr5kKawLh3/qt25Wq8AbfIMJNzIcHz2WsJl43g+nlVatnu9QirZms
-EZUkQsMLeTXN0q1w7YmGxLa4BgzuKeldclKEpvcK/d4XtsG+B9duRLQ0YdbG
-uRqVWiKMorqsq7Zuhyejm2sHnrbi+YV1Z662D+HB5p/pDaEdIHeW8+AKox2X
-7RvXWLlvCHdfefHP8UsXLC8ZbjFW6kSVok3MFLE/3D22umnkcTcY1U4HSe/q
-wrHN8YL1vkKUvUvq5W4jwocH7Rn9Yq9YwnXq7mMIUDrP8rfLHxKsvJPxZPFS
-ApK5d985aghQwXavMF3s8zd3EPlX7xDxd3XAE1NdPnLq2+47S/fDtwNP2SI3
-Il7Kn63f/ZmHfif/veokDkCA8amXmlUkHHB7J3VIn4sy/m1hT/RpoOmsEGdu
-SMJoc/u5QjIHK+nNN4ksGlAeVPquvkVGWVfn82VrOHih57wVx50OpS1RRbfs
-KWiiptseps/BHSf31U9L0KHTz5/eeaYbfQ6dn66/zcZXDssXvrFjwlozQ3ej
-lQ2YbxAQ3y++rih3LdeAij7IfVjud+BEFWx+EZUzr0aAv06uI9+yEM8p96Q/
-o7ELmBI//eQq2DiS64JCXSac4jR5j96mwKlVPIKfGhs3XXltTTjCANc8gyzf
-XxRI9WBe4M9hY7Nd1+uNwIDQA0c/qt6jwKZ/jYN3P7Dxue1rO3IqHVSiQy9k
-KYh7aDM7nyXPQYMLm9xZIhqQPxVtd3xKhqUzB8mv87noYGy3f88uKgQ9unk+
-rp4EF7RHX338zsOwfl2aRHY/CMxD35xII8KBNYXzTzvz8V7+i6R11n0wfyYk
-8ZAPAcai74Q4HxTgXMbiRN8yCvwb/j4SKy/eD4GVhyKGBFgpW6JuNEoC9eTJ
-2w3JnbDA18pO/a4QveG+q5c5EfpHVR2LZTqgOhnLVUVCHDnIEpDOEiDRRbXS
-NbgV9qz/rToRP4TassaBqiu6YJHgJSMhohFG9jaY+v0Zwn0b9i1OEHvMafqL
-2VfL6+Cm6I6yrbkIfQ/tnKsh7qKnp5y3BM+tgbvPDc3mXxN3EP2zdERQO4hi
-PSkNLhXguUcx52uhCH87bk0+5dcGZmT9r0KXb6BIMpuu4IiwnunoomPUCmGM
-qvim4QKgdM6WrRL7PMEtxirdsgX+btZSSgnLgdMxW+PvLh9GO4Lv+SSzFpD5
-9/Loh1MJ4l7h7Hy1WTzXYUN7Pn5qhqiEpggLyYe4rlxiT+OGYZxZ8Ex7fG4L
-LHq1xS7xeRbqOrIOT4g54Onwz5j9oRl8Zg2Z66Z+xlM9s669XSjuCN5/xkYH
-W0Cb/SM1w60Ep4PkeYXTIsz5YRVqbt4Cta9/Fh2tL0fl9IbBpDYRnhwnfkjf
-1QqC51O/b5lVoy71yiz352LvOtBiuNG7DcZH1i+8nV+HZuNjnY12Iuy4yiVu
-vNIOUetfS15Z3ogiWenba7RFKJlwWsGxtx38d1rc257ajOtsjx7V7R/CwKLT
-W5/86wAz/8Wzri1sxyHZbSWlV4ZwnpvxbIPVXfCR4r18c3oHmv6cFzFEEOIN
-y0LiwYsEmHIndJp0daL7uk2vGq6I9+naix/GXYiw0twHlwx34QD37wJNodhv
-H1/wMlYig1v+pQ2y7G50ucApyLAW4P0bbo2sCQoQNJ8pt+QScGp8+8H1t/jY
-eIiw5MfLPuhMwH/6nkT8HLPxF13Iw30drSfOLh2Aq5rXZ79vJmKG187tB8V9
-MbpS7t1YMBU2Oe2dSNtHQslGv936S7lIy/ju9TiOBpmObyvMXEn4YXohtEyw
-UX+81t33Fx0krxxNdRJzg3wkTK5Wn42Ea0TZLaEM4NfN5lzwoWD9+7WOEnvZ
-+Ewn7rqhNgNYod2H5yoT8bTu58aJMRbOj1es5gUzIS1xzT/Z5noc3ly048wL
-AQ5SDv4NoPXDrw+fQoV5leA68jOGekuA6pqn9l05PwiKdtquLHo3OAqa3scu
-Y2HK/lvyjrks+Oq5dF1qAAUMnvtpeWuy8OeJjsprzkxoyPpZ2z+vBx6acneM
-KrFw74k8OyNgwjPmLUPnrxQgJ0R63a9n4R+1mvOGSQyIearP131BgcCRRcI0
-8fXmZof0N+2lw9cuH5dnP8hwdPPBixFcDmqMB4ZY7qbBoRVhZpq6ZMjU7y8Q
-SvHw1Zo2k8JPg7DNtW7XXDkSBK/54lQm7rsUvYj4jeYD0H3R/Px7JgFmu89o
-z+TxsUAmoi4vvxe4gV8eu9/vBg6eTdL0EqBW+c358wkUODiR2/VIpguUCKz7
-95cI0eEHyUa4kgwrcze0rg3sgOF3YZ/6I4T4K/mO0+E1JAiQd/8TsbodYms/
-XLkwZwiD3L4xVr0igCpDN2FJbRNohHd3rc4ZwudXRcGmD7vAxujDkwfH6yHp
-/Sl8vkCEWhf2vnx6rhMGdC8nGt2oga+Ns4dDjES4UiLqkOLPDrhQPpUxu6AC
-JAcvD8rdEWF0zWzXjo0dcHFp1/C14m+wqrQ0L/CrCBWrpZWv3muH+sUSTtQp
-MTfW3thzmibCwmzusvdz2+FaQkfFxL9skFVvO797RIQ/13z+KPWvDXRnxz6X
-7IiHmI5hL7a4CyR3NTw7cKYNDg49JeVmx2PQ1DbvohkR6r5+uV3vQxvssDx/
-fq9bDq72VT307pcIPzzV22Zt2wbf/Ms2ezoVYkN8s4NjnwgF3q1d3360wfQh
-q5eKzqVoOtl0qLpOhPDmqnviTBsUu8ss0OVUYFBa2XuBuC8oPhnGtsHtcO5R
-ftx0eA0efrAh55uD2B+otyS/re4A391Gd7XmN2BouLMsS16EymoNf7NFHfDJ
-PDmfE9KE+aGmCyIHh1BRguZu59gJXz0mzz993IomRqX6hbeHULfO1Mb7fhfs
-3x7RknS8Azf82AxnKUL8/W6sckcyATKOf/9+0bETN8k4i46eE2LnSuFY0moS
-UEIpTzQjuxDj4gePTAswk7Di4KdNZKjxKLZcktyN6f4p5bdcBNjhtev5kTEK
-DJxKj9kp9vwVKdYl8kV81DDPNvEV9/6x2fLeGbpEbB18fvBhBw9ndxKO7H8+
-ACcy3kzvpBBRYoxr/mUHDz+Usj6VyFPh+dItrikrSWjzr3lZhhYXsT/2ekw4
-DfqGbrunXCLhlHSg01zx6X29IjwpM5kOp3I1fCx9SXjxPAEalrDxg+411YK/
-DNj8PsSxw4OMHyYT35LMWUj+5yfDiGBCU5tdhl0QBQdEg3ZkCxbavW1kSIl9
-oC2AXK/8kYihoTOv9JGJxKXlbqwYFnyatyP2n2c9Pq/3dio5KUDNwao1QyPi
-9989KzhXshKMrZ8sO79LgC+WdHOIelSw8r+3NUiLADJtfXpbxhnY+MHQ+E8O
-GxJuVRVdVqHAo/hW0/zlTKw48HTUJ4QFpJK/HwssemDxPLZuri0DSyRC9iWT
-WdAbJpx4KeqBMAlrtzNrmUglxbm7sJmwQLHkaFsrBY6ymq5Lr2TjAmqw+ubt
-DDjx+X7mHT0KvHbSbLyxkoMpzAVLd+rQoatnx5Kr4WQY3iJZe9SCiz5KDaN2
-3VTgEzo+2bmTYPbi9L4EGR5Knyk9+GgFFTarXhhoNCaCtPjC5i3jY/HxReGz
-XvRDynDnXmtuN1hVLZTuoPPxfN14uqigFxxlgzy7L3SBb7f8Hs4zAeqdFL9b
-EQVUedIq74w74beRo1/MbCF+msjl1Pwmw2gg60aFUjuscn5jGvteiPp1Oxm2
-XiToeLWNE2HVDN5uVzj7HIawtVqzsUCbAHnjKkqyE3WgzLqiCA1D2KtmmOei
-3A0bpvusikargX39qmbSChEOv1u9bvGfTihTmCpW41fAIGqrXjwswvzBJHbk
-m06wlrWV2jT4DYqSdyWZ3xWh+0n7K4fGO8Df5UeqVmcBbD2lt1MjX4T0ZRKN
-aV4d4PQi/vXBgQyY1rpw+hCK8J3gucaJex2wWmGNVnPYXdhCnpbzHxThOpvH
-LTJd7WAqaHLrvJyIOyCHEdguwqpI8/9yt3fATOm16oeuObjsLsX5QLcIVRYf
-4y9vawdOhr7tjGchauboWZe8FWFvPIUefqMDGj+1fKu+XIZNxwv9KmJEWLlj
-9oW3Lh3Q7+2/44R8FU69XiFXK/aHiSCdTG92BzRNvetjtdSix0q+4ealIkzZ
-kN6w4Ukn6OY/nDwR2IDv+4//0GMPodBp2a8mYSc8nxJ9Xrm7GU/HKDrNih3C
-T2Hps7OlukFpt8Ll2NntWOcT7bpAYwhr+w1dzqkSQJN1yuhWWQe2/xpfPOAn
-RInbxiE9J0mwYvJipSisC7s2ZU7btgmwcDnlS4iIDBm5inuJO7sxt3OtwdsA
-ASal/bmvNSrec9dv7NYyJOC4+jK3qWY+qqwyyG6r7wWL60qHT10nonVBSudU
-Ew8ryLXmGtfF3v78a61rDhHXjU51DKrzsNI/4kLpfiqYHdm/J3MnCXefufhp
-z2UuBmU1hpYspsGK9jWOYfYkPPHxx9ImOw5e3KdeOiuUDifbxnrSo0nodUc/
-y82djUVZvfYGTxmgpyzd9zmUjOcqEu3lLzHxn8GL4icOLBCZm88R7Cfj7yQL
-nulZJsIij0PU6yxwWvLk4J0LFHQ3f+zeuoqJf46en084ywKXeY9eb60iYuVu
-4s8YLSZuYb/8+1aFDfvlpY8t/lWHfdZlmXMVBLg0QbWgbWQQSNtcnh49VgEO
-xVtrs8b52D3v1saIfCo8Mgm/yd1LAO+kvNfRA3SkLbepuRfDAdWTnkviVlHA
-8FbONr0lDDQmPzbd4sWGd3HJX9/VUIDivK/aajUD4yL61Lw2s+HL15rLSlt7
-4KvSxBNLQybqRNo68hexoPrXgTtUPgW8q1Oipg+xcCRPRTJwKRO+6/p5UVwo
-oPbUOH3dcTaeOHJSwVSFAYprxhd9LyeDsWRy4/EYDoZ7rZCRqKHBwMOhZPUM
-Egyevq+o4czF6xs/PfGeT4O17iqmIUIifFP0jNq1hYdrln4ovaJIBZYBf8B+
-OwEO/rhVd9KWj8s09Ktio/uh7Ix1z38FXVA3XfWwfbkA91bGPpYr7YXMq611
-DYqdIP1xyGqgUYDPatYGZsn1gM3iu4q/j7YDq2rdglmHhXjBeaqNvJICb//c
-5tvPb4EK5bH46CEhvtezsQ7cRoKU0XW/NwnqQZ6h26UYNITdl6vL574mgCgz
-tZd6pBrkklMcZXqHkBjfW4S53bCQ67rks1oFvLau/eIi7vSW7CIu/V0XJBIf
-Gp5u+wYcS5vhdeLe2V1e9i3fswsq7avvxD79BOGi1SKzCyK0zdTbcPBUF9hT
-fWyX96ZDmmbwa2GKCG1cy/QN/Tvhu7Tup91JV+HViyPGjrki7AlQWjqm2wm8
-b91lb/kvcD3vDKM+WYTPGDtD3MTzSzHgnrJO/oDniCYRWi9FGHf+ckTjlk7Y
-d+QSPUmrGNelsBKOBIhwG56XfyvmG1055szLTRUIVEW69B6xX33f031Xqws+
-FY+tGxf3yOl9jismFEVopWVNHj7eBYFFzWvG1OrwerH933beEFqyFX51xneB
-mUyeySKNRhyQkq0dfDqE82t+DrnEd8P6OcH/wre3Yt07iLTePIThyiT/62EE
-iDteaZ3Fbsc7XsV3lqWJ+SDH//J6MQnecDdzHgR04l2GgUrj///PTDaLE02S
-YfEBlS6/wi6sG1UV0SIFON65ckmhuC9CB677ufd1Y6lRh2wEm483980aCfnQ
-C+mTx0wedhKwrPKjX9B2PmpecfhvJL4fKiw3M6MeEnFZJP2E434efvmy6uzs
-ZVSwXjLlMSlPQq13s4ihnlxMmVvwOEKbBnXhbt7UOyRsN4kOlSvg4Ol/s5pm
-ZtHhU3f1FeN7JGQP5EQGRbPRszzJ2M+bAYG5viZLnpBwDfPgHd1HLLxfq6zQ
-EMIE6TVpBfV5JCxc2HwTw5lo5Wxy4Y14jy9cVbVuwJeCKV+W/Hxwk473F0qZ
-XmpnQ+Z0eP+APgXVZZpW6OkwUCHn+q5lR9iwIXDe17fGBExZtpobeY6Oj/b/
-xx0XcaDeVuZ7a3AdFhq59hzo4KNECTtf2o8KZdGES1qPy+FQ5rROySc+6ica
-PqlZSwP3MkkVxivxnv2w1dO/hIbCql8ZoRNcoB3+eZ7TR4b7z0Yt8tfRUSB1
-ZELZkANzFMJWeX3tgZCymu+OpjRMfuM9IHuOA0dDdzFD1vTA5zgzfyVXBl5i
-zNbo62HB5skwq6wfFJCqsGHN9mfi+qnoZWkCJjhKld6+eYUCqYlzD8+/z8JS
-lThv7QkGlO2hfDnFJMPE7YkH7h1svHHkATM1mw48v+pa+xYS2F/Wf5H0gYND
-x6wGnUQ0eKvy4tqpt0TIuefVRs3lIrth504dERXYJ149qnAnwGC/4qyoKh5e
-XbIog2Q3CNlr9L8d5Ijn7KLFB3ai2DOfr2Y4hfXDu1XRBgqHOsFy17d2abGn
-XQswH7Rt7YWN540nAgLa4bExV8FyQICpqedsHdp6wMjyvIqauONfjYwdXhUn
-xLWjlDXjJDKE9ZBTyrwb4LaF9Dey7BCqOJzJ10oiQdRHX+3CJTXAM189nvJw
-CA0V5N8bbCKC6qnEp6qby4FmRHaqZg7hn5/Rt+UdCBDbPcY1vf0V+qOOrHoq
-J0Lv885vSxYS4IHMhobwN/lgdTjJas0hEa7W2vbrw+FuMN6Yn79p9mvIzfIp
-/e0mwqXVs14x+7ugM2uyrpNtA3+YSlEjl0Uo691OsnrRBf2c57GNEWmoolF2
-8o6rCLcWvUxl/RLPb8KlpUHy+bjrXdZVw/MiXJFXcuz44y5oi3+3UPtRMd4t
-sn4jZyzCi9m3NKqbu+CY/ieT74fLsTft0WKyrAi3nNJfNnNO7AO1G086dFfh
-vrp3NyTE/vD+4b3XCtHd0GN2Kfo31mHogkBdQdIQpleq7KLvJIBB9MyVZ8ua
-8Unsu4+5+uLu6PupJT2LCJPHnT64SLSjdehaldQ8ITotPLrF140Em07OqU55
-0YEed/TdF28TorbdKcFAGhneWVe5HVvbhbYBir+9gwV40KLfXzGuB1K30aWz
-XLrR29wwNmy22CvuLTDITOkFY9XcLWPXCFgtKnfIO87HrOGzt3Rc+2GvR0z9
-SycikvKO1f6M4yFthWLUGstBGNjyqD5dQjy/1zyFEY+5+CMgTSg3SQW645sb
-sZMkjFwtGgjx5mDgHvu+ZD06fLjvFpOwlIwFqSq0ulA2Kptw2hdaMAA7RpVI
-L0mYNd2UZf6dhYlNAcYe5kzIF/KiDz4g4dGXBT3LvzJxhX3LXV2xV8SXNySY
-hZPQjqZjxspmYPGaHVezbdkQn/55tv0JMupXyRK1f9Owz+mWZ/4dDug4D20c
-HCHjeSerbUlb6dhiVPfxgQ4HJuXbhhZkEdHih8eRVYvo2E0h+xYPcuCCVmek
-269a7H1ZON83jo9dD1nNbXQqKCtKxJ7LQuAmzrVO9udjfGBMtsxjGuhs/74s
-4lk3jD4MP1F6koYTpwqHHpC50LuWc+zMXjKUtx+93KRIw+/KFsudtnFhpiM0
-M75dzGl72rOA5zR8RzfX2+7OgVUG++SuzuuBBjstFckHdBw6vjzi6TM2TPV/
-0TjHpYCKAinB5zUDA4+t0vqdzwKZ2YRZZ65SYCNZ6rJvORMzMkqNiVVMuPL3
-Pm43pcCPN4/OvXvDwrdt6V07WQzI86q5tt2fDA4RJneJhWw8QpgjbzBCh7WR
-wTqRSASFiaHapvlczIVv0oHNNNgQdob44x4BCFdt5xiLPSTQZO7W64+ocMcX
-neLFnkt7fPN5txwfh80MP44cGISCKvXuZNdO+JGkl5jUx8dRz/u0vRH9kMW3
-ifx9rx1C1OTy+33FfvtLb9fy4D748qcpm+nRAhMnf+wo3irEd2qpDRuCe0B5
-8zHtqCsNwCbaHLlRJO6a7If3H+lSoE7ud4PNmRpIapjrnrFB3DXZI09Klciw
-LPXZI0+NCthdHrDzV/gQ7nR4MeQh7m7ijEXA7qRiaFn7DLa1D2GOi+n6Snsi
-DDTQqBYNeRDqWj8mnCvC0re+mell4rn77aJ3+M5LKLrWerlovQjv2x6XqzhK
-AMOMpI1CHT90WLuvTNJAhD9vGSk3SBOgrsJ9qHf8DWoeqmBd0xDh5bdumyvF
-7UzoI9kfnFWABkXOEXZrxB0Rv5iy53c3UD0a6OTib5ix8qHPn79DyPaXbH6l
-R4Ag7V/queqVaL5JqHO6bgjX9vhclE4mgEnca/tIqMWUyZh3mbeHMFD1WwpX
-zMlPwYIve3Y04jly4q0V64Zw29Jb3jQuEVIJDyaUR1tQZ/Y9Hfp3ISrXzTv4
-qpMEMkkh/0UWtaOh2YuB5QeFuHf/H4cGHhlwN+WOh3Un2rgPWBOLBfj8s3tV
-+5YekEj/M5nV1YVznB1LrH/xcemOgM9ya/rg1STv/t65BOzv1ox8E8jHld8z
-bO7s6YcbJxbd/LCYiDENNUGzinn4cZG/jUhqECrdr3M6qET8oyl3IELIxWNL
-jj59dYsKTLm7bfsukHDL227yEToHn5mn2pg10uCdxdWE8G4SukzYWX9fx8GT
-/XLfxp7RYT5bzVS/jYSHbtvJj/1m4eLnI4e8pxnA7PgauOc9CS/YG9LKRpho
-1vdRGpez4Nhk8/TDKyTc4LhIO4LFQFuHpuSctWwg1HNnlC1JeH/pvpcXuulo
-ffZ7aqoKB7R0wmc2lJBwj8Zq07/dNCz5fVjjfi0Hwq2LvxW+JePdlyU6TUDD
-6mXkqumfHHgCToXkOiKmj27eclCahps/zLmxLIELi7Z9VM70qcUz52prQ07w
-8ZZrwaT+MRpUXVUc1tYqA0JPw4///x5UaXF/a880DU5vecal3+6GKs7guPJZ
-Kq5QMre4GMqDV9rDd1maZPjuLjNiZkFF7YTPy/4r58KO2+y0+7EUeHhMoeVT
-IxXNlxaaq8pyYSXZwGQnlQL5J6SMF5TRsGJD3We+CQd+CAwe724V+4brvE2H
-yXT872u28ownG8ivrDI9PCjQFrvgzpU/DJR85X/X556Yqy0Fb4zrySDcbK+T
-sZGF+f3a7189ZMLk8z9wfgEZ2LMvPXcNZmPbrdjlrScYoPRqouBQFRFq9IwU
-/c9zUKfd7lv0azostNSrvhdLgDlz0yXsnnJxzaZdrDxPGrRebbn4akk3CGI2
-jpqF8zBKTjs05iYVDt27M331Qifo+GKPqjMf54Wqa+cbDMIkOYh2R8yNA/zE
-PUp/+VhzZUzDe/0AVMvGTbXNtICsHsd99JUA10RFBGs+64NSQnxSyJkGmEhZ
-X3/AQYh0ey2Vd2I/oe5Oo7dsrAE748XHWwlCfH6u9ofTWwpkfXO7zu0uB5/U
-X0l8gyHM5/EpfdlkqO/uWvup+ivMf7e3b//9IVw8eLyptocExevDVDwvfIS8
-uS8a/CqGkFRwzMdKnwTBjUMeihufw+x+zkIp8X4P3umocrGcCDHz9c6/dryH
-811Or746OYSsqSbP0ctEWPxovPB8WRZmfWwcjxd3U9/PjY1h7URY53PmTYPy
-FwxQPMhw6hvCqwqygXPciKB2JNPZeUEZjo9q0B59GkKuo09Y7ksiLDlGLu9z
-qUJhgde9FVeG8Iyn7qY+KRJIzlb7KZ9Qh00PX948I+aDNWtZIf85CdSs/rN7
-mtiE+VfcZbJqhVi7wvel+RkyNOmvTO5wbMPJUKd/VjZCzNk13XPZnALE45br
-/H06sG6z7vz0dgEeGrzYU+fRA0uUB/7cdu/Cx8nlQSxZAb47s8RafVUfXFXo
-qokM7kavR2OPFC/x0VdbboKU3Q86QR+nDr4h4Ha8VyFN42F/9Z4gg5YB6P19
-kdefQsRyGbKB23IejviXv6Afo0J5o1f0RzsSSinUGxkac3FpV3Z01REaBPvJ
-7T9cT8KO/PkiyhYOngtR+CnxhA7abQdLbcRe4ZryYP1DLzb+cLXcMezGgB9h
-rLN2IyRcf/GtR9AuFmpbG/xWQyYIj3zMOyfmhpvSTcqydUzsTru3/kkvC4y+
-5Fto2JKwhXmoMVuZgYMPeYRUKhtol1zagmVI+Cmlc6/LHDpqO/iuOdTCAZeR
-V45FZ8QdxJq4YTaXhv6PPtv4B3Dh/jr1l96WZLw+WzJlxJOK3c76ETavueC5
-t8brdhoRj1wdF6Z5ULFun8O52nk8YCYOLlbpr8GGPJNAT2U+zr2y8s7nAhqo
-vb2x1eN1KfjsNtxS+JOHoetM/r62p4PXHP2jQ9bdwNlk2Xjw9wCOeXr/TFfm
-w9Bw2I+ufWRwC6j7YXakH/1kT+jM/86D6cl/VaTDFHgsVD3TIEnFNT67cpsz
-uRAzMJHd8J4CCUO7DpN/UlHxq7NWPZsDCr2Rvw0yKVAsBcNOinTseFt2wFqR
-AzM7DH+Fi59n66HLrvOMGDisQ2ix2M0GP9aBp9ofyeC3+9nvn35M/NkUnPnW
-ggWOI/PnNk+T4L+tj91WtLLwhuqZy61qYq97x1FILhD7fsJni29lbGx6Eqmx
-4BIDjByzj+pGECB0yPZIyh8O5qZUpI4a0aHn5tbn9HndcHrrj5nJKS5atXN6
-jI7TIOve7QUM5064Ej9Yrj7Aw8LiiF3y/lQ4cCBJ6dd4O9ya9VF33QU+du9J
-kV7MHoQrJsoeMVItsNSz59AnQ3HXWK2+scliAGZutXvqqTcArT/I3v2XABNd
-v+gMefSBzjXvkmBSNeyd17ltzS0h7tJWKb+0qxfUqv22aHqUQ8aZP7kDHCFO
-rFdd9H5HD2StvtVV/akI/v2jrdi6Zwjlw803VzpQoKhoTd14y3vY0qTwLyto
-CFesOX34cD4Ztl92W6n38zF0phlvJKUMoVT1Vr0gXTLo33QoXtQfh9E5a7QN
-Pgxh9totN21ZJFjgEKR4j/Ue5z2mh5bGDKHdx/VHsg3JMOujy8ezdkVY8H1P
-0m7x4zkKrTdXtZEgZfnXpwwoRy8v52vfXYbwfOm6f0fnkyFNSj04Ib8a32sz
-jx5WG8Ldt3J6rP3EHnV3VtHQZL2YL1H9J+uFOF0QY+QuTYFvHvHnv89pQW+N
-b1KezkJ8WrpXo6OJArnHTHbV/9eObbGGWrOYYg77yOi3l/XAm4wltrS1nSjb
-uYP3XNyPdV3nlG9Qe6Ft/eVdw81dON0we2+82Ksb4rbl1OX0g++Zc+zkxwR8
-kkdOPV7Jw4aWhEMyMAim+z8Gko2IqLEkZlPIYR5O/hcydHs9Fe4pD8hRNMX7
-WqmJQwjiokdZIGeBPA22xludIjeQ0MCqzWtzIgf1lMdDLWTp0Dy63OCjKhnP
-/Re84cx1Nv7cI32q4TgDZJuj/4YeJeMdfQE34iML6fvUJ0q1mPBCwuswQ4qM
-D4OKlDcEMTGdKJeSHMQC858MJd11ZDxsm+QnOUnHBZZLbBfWsuHi0HTIwo0k
-vPpkzofrlnR8/sTt/McHHFh0mr7+SRURp8eyEuL30ND0dvfd+35cmFuptG/D
-NBH3XpSjTxhR8Zbzm4rXcjzgKdemL6GRcKw1ofd97wAedm5Vu+7IA5qi8ZhF
-NRFHQ4z++qQO4Pukg67jeTxwCIrUn2dag7vIs+4v7efhJ9diiS8KdJDRf3rf
-Xv0bbM+2rCGV8jCn+eL53i90CO/tnadM7QK5FddEexP6cfOTEYHJEz7Ybbt7
-NtaYBEaZ/zKKtfqRucR5cpcEHzq45+XUfpNhYV/EjVUPBnBJhmLZzW08UNNr
-HZO5RIHzpHVPBgyomDX798CWa1xY+Cg6x8SfAhW3f6wyP0VD+RGbu3n5Yr96
-9D1rMIsCK7t/kWyV6FgQtTmgS54DJ2flwoZwMmQ316zoKRV7yNZLxa6z2LDo
-QOSuZBIJdh5ref1InYUj6qnpsYNMKKppP5MdRwSCmTHeUGGjSlVvYJYuE6y3
-vXXrvkAAQfT1cyRXDio1BKSXL2CA+6zBJoGwCx6HVWyP9OTiSHt2MleDDh3l
-PrbbD3RCoiD90nZ7HlZJykukHqBB/BHenlTfdjAxcX+suZ2Pgwbt/529RAXJ
-DpM5fbnN4CXcad3SzMfS6gVaqaxBsMsatQgsqwfTomWb1iYI0FE/JW/gXz/w
-3U7PlzlbDZVZr1a1qgvRnHNK+1pdH/wJzMq0+4IQcVdJczhWiOvKbn93/dYL
-+9bPybt7thCOXl1CluQJcZOM94EDfT1Q9/DV36Bv72CBcajs4/VD6GV0wFZl
-Uw8oeusaHGuJBN3uyouaVkPosyH6trf4/v4bcbqoTknCvR9ithiJ593qxynp
-6zYUsO5kGlt8ycMttUmkUaMh1M4+sz1P7D+nYo+SFtQUY+XVfGeumFfHQu13
-z+hTgNKTc6f/QQUu92KsfThvCDUqw68xxJ93n3X74fAltfjm/cnLoyjEfL3f
-ohIyBQ5ZjZ7NOt+IFfc5z7+dFaJuYMLjl749oJ87+Xjj9Vas+MvjJY8KcM6Z
-dZXZer3g6vE+g7m6A5dFLzIy8xagitxec9rGPsiPO+CS1N+JNW6kkhtEPnaQ
-PT2VLPvhR43c24Kb3Xi9OCEqWYqPiq39i+yXDUJg0awF9t8JuN9uL364zMOj
-Pe+UtspQAe/m7V3TScR1Z1R6+TlcfB99LeyduN83eO03k84gYeLVWnuLTg5e
-OfS5yVzcucblvtK/t5Hx+JXM+xd4bLw7I3hVVkeH/LU+Y/4eZOxJmdrJqmHh
-vqMHnF2lxD58+lDTqRtkTP2GwvpxJm4ITJQy72WC60K6jYsiGQv2vdo0v5iB
-v74+lVBbwwaVayaS9nUklHQ97PqXQEcJk8UlydPirk95bar9k4hhVzb1f3pI
-Q06oVPOrjVy4NrZLVy+AiJ0896zY61RcqFDmeEGaB6E11KFVcUQcuCXzvv/f
-AI7fS9OwfMmDUXpQvF8wCS0L7EJCbvRjGnF19d9eHmwcdW6gviTiHastC69M
-9uGhR56Br7bzodbvd0NEbjXO5N364P+Gh1O04tPpPnRIcK05SksthlXscPvk
-MB56SWyVGl3IgL+FyY93M7tA/1TflOtYLwqy9RrfSgpAlX5sB3kDCbI62dNr
-lfpw7rEZx+/WfEi8m2ZYm0UGvapPRTZr+nH7kL/b2Y88eKQbG5W9iQLPndZf
-Kpo3iJurEm9pznChSvaG/wpx349eX28bmEZF/wWfAgQHuGB1KidTSZ0C7lIZ
-gnAJOtaW6Uz9NuWA6FCTTfMxMryNmNL+uZCB1O1Vx9TfsaH24hk5/QwSvOYU
-FdwOYOK3qSK1VU9Z4Ec7nfHSiQjjj5Q3+18Wc34nU7B/hAlHuY5rrA0JkJ/e
-xa6oZaOsD/V6ZRsDVHdoiTzKumB2pvHMW7K4aySUAuQEdHhTLozqXdIJA++m
-nJhdXAxhxmQyZOhw84SDvM+edliW2fZvfyEP40aO/Z5tKPYT/b8/qDrNsPTf
-B82TduJz+2DH4MZSKrzU2P9x3+568CnZblKzSYDb/8ZaLokdhFbv8w42jVWw
-iLBrlkSZAJ8YVGXNOzEAn2WOFT08XQaHHivIGOkJcWWfpcPDff3QnOYde6Hr
-M0Ts2dzeFSfEcrXbdwj2fVBgybs+vS0TBuxcfht0C3HRWoVyy3QxZ6yDvkz2
-BgDh8/mK0T9CPDg3qYK4vBcKOVuvd1qn4RfW2/57i4awBcvXUit6YOyg1JVn
-WgU4U98us4ctRPXvx2Jk5XrBWOp6uYN9Ka4+ZrjWny7Et83/qS9O7QG/bUsK
-qwWVWJ7zIF8+W4hc746Eju4e2PBvJlI3pA77FMft9oi7zOMFmXxpTy/MltjK
-/tDfhPWM3SZVkwKUumagze3ohd8KPbFGP9tQcYFfSdwtAe6esl+kJe670JK+
-qpHBDqydc98gaYSPwSV6Y1MP++H4k+Ju+4QuNMtKr2634uNLH9nk0U8DYPCt
-5W36RgJ+qAxZOnyFh5tsC9eN76FCyqVY6nwnIpraOJqeHeCi0pZmPI5USA86
-WebgSkKvLBedDYu4SPsWkXPrCQ2ILi9q+9TIWClVm1e2kYPHo7VDN92iw9+B
-5vj2eDI2prltmNzNRsLCvi1NVxjAaZG8F/+ejEbm79IuybNw5ZzIiOIPTCij
-fj6ukkZGK223nCOGTDxxj9v/JYwFx67R602Wk7FmAWH78D86Zp48bDuvkg3G
-Xzqv/MohIVuopTlfhY6cj96/Lz/lwMY8veztZUR8tfzpk95OKi67uviqxTcu
-RMRP752rRsTB007gETaIcZpPlH7G8OC9RKTPPC0iZqes3971uB9dUr9G567i
-Q41thucjJOGV5NNesed78FrDvU7KSz4sPFZ9W9+HiJWHfkRIX+zFwAfEbV6Z
-fHg5ZR0ZvKQa461ba929eaip+0adUU2H6DXjvmd4OWDaeqP6vwkBmpXNjiMN
-D8Deo/o2/+K64F/SyNS84B4kf3iQQfUVQEC9Nf9NKRG8w/Ry7nzvQS8bm91K
-lXzIL6+YO/8EGWiyLwzUW3rR4pGLWZYGH9SGtxgr0MigOnGpqv5DP0olbv6X
-c40HnfLVjSZD4sfPXX2nwx5EU/5kLqmeCxvad+7W6yGDxVqWdo41Dc8m5P33
-r58DXg7hr54sIMPcsslFJGc6qu0nKh8W86Qrf47JzDkSREoM8540MtDF8Wx3
-xgE2WAsuLMhZIe5yzccJJl1MLFsNC9pes+CQU9jBN3+64XOv5J552mz87nNM
-svgBE0y3HC1fEdwF3XMfOPww4eCnONM1VrkMUMp9z/Nq64B8n9XcCnMurnaa
-k+XSRYeqDTMLdvHb4PTfVijR52F3xHsaezYdrtJWqKyKbYJp47ffP9B5OB5i
-5nw/lAaxZ/f6dcfXwVziGa/4Mj42vje8k/CQCkGtCUvc5argv3kheeOnBFjq
-lfb4G2UQsgNE3aTiUqjvCPAY7RbgBaV0m5qKAcgpDuo6PbcADDm3Q7+JeSJf
-4dAtQ+yHgN8x1se3vYYN6SH2+dfFPCF2d1xd1g+jT6PU7pT6YOZIbcbRN0J0
-v/WgYndUHxQTJHWbV2biwu0dmasKhJgpWTU5T7sPCNufuC2o/YIJHeXWufeF
-+ELZVHF/YB8kX39d9nAZIlX7tt3IHSFqXcq3rZzpFXPSIknhTDWOOXgR/Q8J
-kalr7xG2ow/2Ryvf+fenHsvVD9xxGBGgqsxkIiWxDza4q3056tqCMw1Szl/v
-CrB1bmL4G+1+MHy8YP6r7+0oY1YQkCspQPUzre45o/0wHTuam5TaiZJhmjI+
-PnzcHMVlRbEHoLP+7F62RTfu//zq345aHh6UcVK2mEuFG+oX+WlEAsZk2x82
-ZnBxXFVuZSKTCj+O3Bnb85uIq+9+sSo15uKfKp0XTz1pQNnb8LdSIPZ26R1O
-Ky5w0NI45P49cbe+UaO4kcR80CRptarcYeOBYKVrpzUZ4LfW/VHyJgrebvx0
-/wiwsCrcn8mwY8LjfXuPzueLfSOZnD3gIj5vDll2XHMWLO2TM/yLZFyvoCtk
-hjPwwUGLxftWscFpx3PyDxUykjItjaPM6LiGevRujw0HOHe9T5GixD2i8Isp
-eZaGR2cdGs7V4sKH8lUmL0KI6BjIvmSpTsWedzI+icCDPwsJ7r41BHRJJNie
-WD2AuSa/Dxsu4oNJT+JzxWICzj86P71/dx/GVpe2CxL4oHgpI7GTTESJ34Gv
-2jx6MOSdR+SyDj7cN7xXGbeOiFFlj14E6/ZgXUnVkaHZArj1xOLj+4AqLFlT
-XtAjPufL7xdZdyxlAElm69W35EKQ2MLNm7WehwYP0+Pl4hmwI3ZGmWPQBZcX
-bVYXalDQ0owy8bZdAPuHInTy+gjg9TYR1reRkRa4h9vtJoBaObkTI79IsGWz
-/oPNkT3Yu6MrzyOSD57FEr1RcWQwUT0aQHLrw40H41qQxwPLA7/kNr0kQ9Sa
-w4z0ZwN4apGWsvlBHvT4XP7xPpoMw6I8Wd0sKr4qkiGc8uSCS+rqOm4JCap1
-b/ZSv9Kw1jTD0KaXA4bHajQOK5GgfT0/+NRaBs7bGjfvLIsNcSn3Sn81ECD0
-eZcocgcTq6PnDrtYsCFV6cxJI1o3bCu0EngeYKGA6FlacpcFev/GGgnaXRCx
-OLjmz2c2FjrKZtl7MEFh1fVj9250wMNUVePjlRy0lVVNeCu+P5qT/D6j3W0Q
-//W3omQRF7t23rl1X8xhPu8J26K5EYI0uAO7PXm46+rYY5sDdHDXpA+m1NdC
-+NLKnr6jfMyQa5gXYEmD9fWj6fd1K+H5wjP63CE+xg2pnVbLpYLuhuC/CZQS
-8H/Y+8LwkgDVFnGF3WpUaOBokl5M5UFotxljUMwTq7WZEWEW4k6XGbt+LjAZ
-omY0Dy9VFeJ2Z/p6rcgBaOPqnDsgFY1nI9cZWZsI8fbQxmrNiX6Q+mpitN4y
-B19aR5O1bIQoMI+5fi2uH+YIXqa+iv+KSUZmIxfWCrFxlap7Y2c/+GkHzTGa
-KccTF5/yI1cKUS5H2++xQz8kpdb3/P97MzI9bZzWI8CKsYSkS9H9sGJ7zUW1
-iEbsdN7HTrwtQN+Pf7S9hf1wycq3+ouoFaMzTkpNLhJgdKR2tXXwAMi/WL/q
-y50OvJExLXn2Lh8jGB4RVfsGQX3WS+lIpy70+TPadoLDw45vjOYkFSocDMpv
-+StJQEuL1d5HxOf5tUdEoms2FTQ2HBA8Fc/Xgat+xScsuGjszKuIvUcDq0eJ
-AXMSSFhparwpKpODoUvuPg1fSIfF7pfrX/uRUYfeci9Z7J96pA/vvPvpcFGd
-7nhDgoKa8zx6DCkslCHv08ysYIADeW1c+C4K9ui37i76zEQF9c33hXQmrD73
-3qJRPCd8vez0H/kMnPWRUa05wIJ7P9b2r6eQccOMR4qFuDsORErsOpLPhqgz
-kQ/SxZ1y1NLw9LkkGuZKPHq+oY8DLx3mzZi5kXCe5edgu3wqNngoJc7J4UIB
-tt0uBCIqkog/wtgD2DSeveLCVx5s0p/6++4CARP31pr+6OhDhTOErP23+LB/
-50rBYXMCJni7mdaP9eCp7pcxG2YJ4JJTSYX5ZSKyrtav77xGQb+FJf8FqQvA
-53JJT7QkEX83xJnu6hJ7lknfh1WOAkio2E7P767EiQe/JAsleVjsvVWv+jwD
-Nm2peRrp8QX+pPhvX/+DizqRCixRHwPIIU8kHYo6ofGpK1xqJKF/h01qzTYh
-XGJVZf6oJ8DXlQz34yvIKPT6FFYZJ4C7do9cHdJIEJtyTOrPSQqm9SfdyObw
-QWJs+pnWXjJwB89WJmzuxd+ytY1HrfiwZv3UtlnmZGhD+Ym99v3IO/qZuLSQ
-B8XnPp1t1SWDU/vnM5ZzqXjxqZZlEZ8L2SUH8xRdSXBWuC/QSZmGzalbo2vd
-uBBzIVPqZAkRuvd/s9S7S8d//V/LM4M58Ffn1/rCCwSg7W5OLXzKwExqbIfq
-EBvs/rO8F7iyG+7qvZ6obmXiosHCy5qrxZyJOJQT0NQJz6b+kCzXiPeLGl9m
-egULAtvCLXuWdoAmzYugtIuDHbZGv5zMmZDt9jZujkcr3JjV9y5Gl4tL3J6Y
-BoQwYLjpifRhdgPsL7ia7jQk9uGM/fEL/tEhKerBfKO+GhjCfq0pCg+fRabZ
-zhf3zp6x5O079SvAzbZsQD2Ej+3ttLx08R40SVRojfn6FSxnVvfbSgvwlc+6
-8gAKFWLU1Bj9Drmwf++SeT6+AlxuSNK66ESF+Qddvux5EQdz1C7tjPkqQNHN
-tNmjY4NwqJeWsX7eM7y86rnhKoYAmdZK2uvsB0FyQ2421S8Pf1YdePp9WID5
-xraPykYGYI//o4KfUd9w1+MI9fRSASq9WRCwa+MgKL1PcrS8V4mSitvGAz6J
-+WDjp7UgbwCM//t2bsa7DsOUF3qnXxDgF8egc6t7ByCKqHH8w8pmDNa91HFo
-vgADBDuLS/QHoTpnZ1DIgXac7rI0Zcfw8dm6vzlRNYNgUdPyPOBIJ750s2Bu
-ncXHmmMnJGQPUMHk6ospd/VuhEKzNJoDD08WTE85FlMh7vvbT+4lBOxOjHEo
-f8PF5QO/9ugcpsFk4GJDv/Uk5BlrL+v/xMHti6W6r6rRIT/v87rbm8j4TSfk
-VYI0B01edqm2vqHD1Md9j83HyJhKg7hrq9nYbM56LRnIgJOPf0pbeVHw6Yb6
-pgkdFiarTEjNt2WC1PWfHcURFAwwDja6u4CJCW5yu2R8WSCjH1AQmUnBB3MM
-LdbW0LFxDrHW5R4bgnMku98PkTF8edKU4no6no5aEmyuz4GD1xV0ry0k477Z
-rs+oIio2nY01f3aaC9JdNE6YIQk3MDMcraWpOOtb+NUDmjyovuS5LO0PAXn7
-VHUepPRj4wpXxWwtPvieuPynRJaARdcaNZfH96LOZ8aEJJMPdnE9e2/2d+Pf
-xt/7NpSJeTZy60agiwBKX+jvdJEmIu9vWsPWI2R0uHm/fv4NAWy7o5Sk/Y2A
-HdqB0h/jSRgrXXJkNF8AdqkeR+X1KvHMfWYgtZ2Lg5B4aeFHBmx72HF600wB
-FD8i1OR/56LjwKbQkTVMqI+YX+z7ohNqCyYNDLuIeFfmSv1yT6F4z+oeKnUk
-QJaN26v//on55Jv6RZUhAP7cp/9JmpLAYcWDxUw9Mk4LwnOdjQTQ9mFpVCeH
-BGeWNg48mtuDftKHO3Q/8CFTXvU4cZQEORO1mzo29uHaTxlNkup8uPBV42Ud
-kQTeTZdoqzoHMLqB2NV0lgcOXMGxw/+IoLW0a0XIDSomNw9nruNwoXeepb29
-DRE882pUwzg07Hvr0d0py4WfGebwJJAAC+XXrdz4lY7bwr9kj6VxwK7CsoyV
-2wUHaxatmN7FRNtWS055FRtKWVPtZPtOsJ85df6/eBbuMzuiMq+eBXEuo3c2
-vm6H9IcXuXdz2fiRc1xq318m7B+2cq0NbAEbbp9OWx4H9bNemhvvZAJdaqp2
-+WA9uP9t07vly8UVLQ8SdnxmQFCk2cOQ1mrwCjGW332Ohzob96xsrqGDy7+F
-QctVysHWLOsYU5aPrl9H2rs16NAqwZceP1UIOspFt64/52OQRuugaiwNeqoS
-iTSLLHhdOzfz+VwBLop2XNIvTwPNxql9kTduwA5d3WRzKwF+TCBVluVQwab4
-QG9JXhr+MNn5nntdgPSj0bHDDlTY263w34mLBdjffOSpUrgAr0yqB+3SFPe+
-+s+aY7llKP1gYUTcMQHuedji8MSQCllnF5jFr6zGeZkPVo3uF+DXyjcD+HsQ
-3qb5y9TLNCBhZWT6vAk+7jd9vPqFHBWO83lu77EFe+JC/qt/yEcV5b+Pdoqf
-x1m53TJ5SQeeNwqWmiW+XuP3pyfvhVCB7X7860XFLtTbucHjdRAPp68WeR7q
-p8L3r2lTvdRu1JMLdC1s5mJO1KM2meM0eDv39Aa+LxG3w6zXhxZzsfCZ1V6z
-ARoE0wyvrW0lYaNTp3OSMgf373qsIvmRDmmtyidby8hYs5aqmfYfG6vvBdjt
-1GPAubqvx+X9KLj4+E5GUDALG7fr/NsuwQR4c5Pd107Bi1tyZs1EMjFU6s25
-+AEmdPzZ+L20k4LLLmR+/nOWgRenu6I0RllgqZK7pesZBfeF326UfkhH4wrO
-hUdFbJh3M4t755+4R7TKX+TfpmFAx8v+xk8cGCOfXHV5hoROjyPXmB2hotIq
-tYL2Ri7IvbLqXSJPQtVnzxZEDfdjc5Hez0VdPBA1d2VYfyVg4Yu6M1nn+tD2
-y68QvWg+oOfU5M1P3VjeGl3gf7YHly/qKfLbL4D5aWGznS5147UxP4ZvEhnN
-Tm23qS0SwCnPOVa6wQQMiJMrGX1KxHupvyNmRgVibu8qW+FLQN03Q5qyHkSU
-/3Wp9fg/AXTUVrz//qoIVeavLO27IUD7+c3VuupUeHp9nLcz5ROowsWzEVFc
-LPheLO/+HxMORF7ZG2DYCRETu999LyRgitH75iV5Qlj44coF7s1uOOV0rGXu
-AQIeT6jecfC8EDZazrH4//+6NzR9rVi3loQP85+udIsWwFylpJ+2MSR4/UKq
-Y5uYu1ZLWy8ZzxFAzEWSdNITEizTWN4ptaAX+wMUd7Tf5sOmmMKRkhAS7N7q
-9mCmoQ8nwnvOmcnwQWv//VuJj4nijjc/Xt44iHc6v22Y7cKD05sskvyYBPBJ
-tV9625KGDQT+h6NPubAu6LWzZX037OQc/vk5gY4u0+F/TRkcmKfZeTdgWxdM
-yns5pWUwcH3z8WprRw5cephaIejtAEmskfg0m4U+66J6Ll9kQ8qepnmg1g4G
-bQ9KZcUeEuO8cJZSFgsuukX297g2w43mWbhJm4PPXgo837CYcPXsfrMfRXVg
-2HMy7+ewmCd6AxT380yYll4x++yrKmgKeXJ7msfFOy84anuuMaC55bPVqsLv
-/6PozKOhfN8wXqksoQUl2jeVSoslS91JhZJvq6hIhexrIqQQZQ0lFSHZKmQp
-a7mRNbvZjJ3ZZ4wRKhH95vfvc57znud93+u+rutz5sx5wXfZrayAVxzMPOVE
-2UQahj+f/9VdKC2EJ7OKh/k7uHjybHKSupB3VvwbFzGpT4Wzuwsev4nn4jqv
-r5IT1UMQlT511eynOz5cvuheEI2LnWmrZw+bDYG+pYTKhppMPNSlcW9Yioeb
-7znI+i0eglfOzNQVcUV4XIn0zn4VD9sC+dGJTYNQbmA0VDdTiXrK9o/v9XBx
-c8up7dsGBsFsbGrdRF0tXiqqrDjTzMWru+YvKEgahN1fRqcvlX9H5dUteS4+
-XJyY27FJPVfYE773tv1zaMMbXlnUKCku1izS9MkkDwKGzZ3ZTu/AZyT/nJpH
-HLynSP/as2oIDp4IDFcZJGAxK3zYiMfG3w1ZNx67Cc9JvGcZm0rCWfZCW08t
-Ns5btnD1IdoQiD9J1zDZQsFfZb8Vw7xYuPhpasclx2E4M373T46QO9xcBx7q
-+DLxLUFqaFadBv4mdwJW/0dFnhgtz6qegTrdDzvffqFBzFCohTGPikTrB8MG
-PXQsUeFXzg+mQzMMLcrc341zrpqkWToNqxZoVzhYMCB12Y5/BxW60dnSZM37
-imG0ibvk5WPHhPhHdSYt36gosqwkcz57CHcmmO1L3MOCI3oPRSMlqfhC7bDR
-3V6hP2SaXzfbwoYFtU5XfX5QcNve5D2xlwZQH1L17x/ggKVvUnpVtTCnrx2l
-2Zztw0ejdkc/LedCasvD4HgPEu5V79uTfLAHz6S2Tg8whX3+FFk9zYSIRy3v
-TgYcpeLt7s3n7J7zQPF98CXfhUS0qwyIG3tIwcGp/I0LRUfAhGJO91UkoeGD
-U7qvp0h43lVmx74tI2Dp5FSXLVzvfhG8X1eXhM7Nl1tO6I+A1k3bC8ViVSi6
-v3DH6XtsPCNi/GaVEh0kMlSfBVa+gJrshIExHR6+Lb0XI1c/CNQvL/f69HbA
-iqTW8S05RHzs65r6QzACtPRF8157EOHHjvRlFwhEdC8VGbD3EfaQ/RYqp2PJ
-kBEjsXNmMxm3jNFHAzt5YCC+pvOSGgXmbBf6dtMoGKDIDNI4z4MoycieFaoU
-KO8EUfffVNx4NurIHqrQHzR6XlJ7yGCSteiQ4GQvDneXN9y4wAVR0+p30xvJ
-EDEUIyH1vh/TJcOTBto5cFHd2SrVgQS+VrdCz38ZxEe3VKuC5DiwoEb66XMD
-IlwQ2SpfuGAYYyQLPn9zYsMWN4/Vsu86odI06/ZSORou2XaWODPKgozZd5zY
-/zpAfPvf+TG36aiZ8uoEiLNA9GpNZ+uqNvCsNZ+Qf8nAiLrMpOJTTOg512OU
-v7cJnB4xbMUzmei6nORwNooBPbwD1QruddB+nbNjlwsLzf9z1DeUZoCpXMWK
-Beer4d/Rs96RzmxMDV5gO7yNDsmmCS3af8vA2ON55onNHAxziygWD6KBxOv2
-oNT+PAi8AmE/P3Pw6rsuwV7BMCgRJUXXJb2EcZWnozVbubjPJumenPMw9NpR
-VKL3xiClRX3ojjsXDVduEnTPH4aBIdHqdVq5mLfzzC/jRC5K3Fzbsip7CAxZ
-W25yOKWYkfZsmUgaFx1n6xM4Tv//X0/3s4zCagwMtDIqvclFf0Fzn5rfEHz7
-ejhC50E9Ht5Ff8Y/y8WFyx3GBzSH4LLqrIe3ZzNWtHJadWc4OGgwYNR0fAgW
-ZDl0V0S3o4XJWosVoRx0nY0byLAfgkUh/wmSSztRukn2w9dZNvZJHfA/lSX0
-PXn/iZNCneXqKlbUX2HjwZFn5k5zQyCY+V2iYUVGX2LfpW/pLHzwIsMrXugP
-yyjnNvhTKCgeWeei1c/EkCG9vRvGh+EIwV1fQoaKWXec37v1M/CN0om5/4po
-cMgyYnlELxX1DXONwpUYKFfCTpTRpsP6BT98Lglz+u/qRLNITTpuvSlXFvGP
-DrHz5Rr2xHSj/dxy+cCjNNwYudilk8iAvGXzRFssuvGMdcDaubXDeL1Q0sGr
-iwm6C9RI20eoqNP6fs89/SE8tKOzbmciC4x9l22Mk6di+3NVsXeHB1H22s/T
-kRFsaK29tfa/YQraHZ1bw9vWj97PdVjGTzlgvrVT1zmejO9rDv/z39GL4RYr
-CMsdubA4xGFmvQoJL6ie/LtyjfC8vb8iXLV40HIqJvfbDAENRVuaP+/rwqmj
-NzaVCPu/JF30j94rAhZab3IYvU9G6mKFi3PGI/CZcXvbN2E/ufcmTrJ4lojF
-97c1q94agdehG8ccmURMdJN+f8aFiMoTo4Q8rxFIcVnSbfbtEy5xblHt0+Th
-XSvpySWvB6GUabZB1yoWpn0XigWsEfKpvMrPc7ODMHXwL+GfaQfs5N2NvetE
-wPyuSr8xLT64V/gr/ZAmAredXObKJqC0duj48qIRSAqtT24+SAatgBV+4ftI
-6PBxf6STzAjM/Uum3+gmQ6fWG3IXm4x9OZ1WFQk8kEgbJYy1k+Hrg0c7Yse7
-sHeeqcs3ZR5EKN2asXUmw88TY662Oj24WNXe8WkBF/yuycmeeU+Cp4672ynP
-+nD1sh1aJ7S4kFf74UIflwgf/T+Frt4ziHZ7il7RIjjgED1v334U8siNj505
-HkM4xl6rc3mMDdEZupxCuU4wvh8zGfxoGH9av7/J92aDnL/dTH5RO9gubi4x
-ZdNQY5sOyymJBTISN97yKS1w2/LPiX9LGajVtNh0KZsJ8leCrZuGG0GJvD+p
-diMTpWT+Ta3YywQLfbuqaelauEH5OXqbz8R+rvJURD4D6I9326axKoE+9e20
-0Q8W3ib0OV1upYMc1yWEsbgE7rbkNwe9Y+PsrwO1y5TpID2v4e+pZx8grUS2
-uP8wB/UMO86EPKfBEfM7VrapobC535NklMfBKJfzXZ9laBAgmFhx1y0JVwZr
-rnWa5eCXJ4E35oT8vn6s5cJoSAGuHvo45bWNi+sHSrnKRsOQO6ki8p/tV7zj
-+yRhzy4uqn6MVwiVGAavdefjBX41OEzdkJDC4uD2c5fl1GSGgdWbf0/RoBH7
-E6977SJw8Hj0a9G+1iGw9QpT6NNqxeZd1KgfQr5Y8Jlk0kUeAukdr5S9XDqQ
-KnV2ljCPgxe++Wyo+D0EN6+HeHvHENBe4cHgXVc2JvKzY533DUPUnODaf74k
-nLLIS8tpZKG280N+StAwpNecq7kn7K8r+kR36y1l4YFTl6oG+MNgUdUZqxXa
-hRHtCw/P6gmff53cFn8XGtiPlngeLqBiiuEQt0uXga+jA+x+7aLD4uVZM+dv
-daODo+Pp/Md0FElsNH6RRwcZpcbVD8nd6H1f/AXhJQ3jNYIbRNwYYC65bOPo
-SDem5G3UWvx2GC32f3OROcqESJtH3RJvunGnheXP8wFDWOd9QzbwMAs+i3V6
-P1nRjTn7AwMrPwzi2ru3FcvnseHhy86y05upGFO7IKXVaAB3qp84OMdjg90S
-tZykTgr2Ny0YTFnQh5NzSgMMLgd4a4+tPeVIxvQ4nfBR6R5U2hUvElsh1L/C
-vWM+PCL2TlktSpKi4spnugkpITz4q/Y36WwqAfvLhn85qFBwad1/1xV2jkDr
-tslS6f0EFH92/EtqKAknLu0LdosegYvXrFY6HiDi8zzpy1beBJxmWA0OVI9A
-fLuY1Zo4Iv5MpKz96UNA99/R/gr5I7DhxEvrlUaFqHLU+byVAg+lphurdlMG
-4UvKzQyZzsegNdZz9/AMF4tqWaMnDwwB54vWHEW7A8p9mrPiOZ24x8rsLPEC
-H/wk3avSswmgJjM+F7WEgE99NyldHBkBVZX6P777yFBdA3JvnUm4LnZm8rj4
-CGRbpfwtfEWGTdVmuZ8VKHjruLT+nSQe1K0sY9U6kEGqPWmMOk3Bf85BV7d7
-86DUxeiX6SwJQsJajp3S6sZgp2c7tkjwYMfdA27mu0lAjf8R8iesF1u3ZKgW
-J3KhXUC2mb1BhBsp9vOLDQew98e6Vz1/OVDybaBt0W4CxCwm/GtgD+Kko8wz
-CwcODA0oq6h6d4Dn3KVYzdkh1K1RoV2ZYYOadhNJaUU7nH7dvPCsBQ31Vn7N
-k9vFBkp1280g/2Yg89uCZIR6M48tK1h6jwVLNq72LbnbABuUoiqKEhlIay6/
-W/GdCeKZ+7Olo7/B8ZSVTCUHJgZ3XEkZO82EZstHkyZYARPz+khh7kJ+MdMV
-MXBhwAkGb6Sm6xM05Cs9C9vNxpNxpmubmumgmfqf3fjfNCh/mXvodw0b3z7S
-i/6iQQebsayXOz4Z4vjysoMhGhxknFn06UwhDRo+zx8t1MpA1Wt+0p8ecrBu
-5yHvDUdpcL7ubSd/TRFulIjc+DGbg+KbDzzfzRyGjDU9CiUhlfhvx42040L/
-MZv3M/ZHyjCctK/6tcukDudzfzyKv8VBPCKyM+3tMCx4qH5ny9omnPy5Ot/n
-DAdvLpkI2WU+DD8szmTJLmpHq9dyrKkxNnbt+JrFsxwGxb5dMqFnOzEjKsnw
-sicb1XLKf4feGwbXRxLq2x2ImBGyUTZ8kIWbP+jJTRQMg3sQ41K7IRlbU3a3
-vVBjodXqmMuMeTTYXaugp8ikYNd0+KunXky8eDK1b9SGBlrx2W/sNIVcECbb
-4PqOgTejvZRu0mlg8Gfb1XP/dWPDlZefFmXQkWf9Lm1+Ah3OrOr2TRF044DW
-Ya2bPGEuxAZRTdYygJ0i0q9k0IODb+R14v8O4+Xb2pBBZcAekUV6l0704KWr
-ijJji4dResvCgEcZTPhIpbp4DXXjmGrIoXGhrty3rvoiIewVCe3kPy80hPzi
-UUb5KzuIUq2bjnRcZUPGqoULzu+mYmXGxYIopX5cxP84oasn7BV9hkkz1RRc
-vpo4HM/tQSNfsUaaMAejc6uLB3TJyHXj91rP78Za0wF6rzgPVk1+/c1tIKKK
-bvGfBzoUNHgSech0nAdJS6dG+Q8IqK6pSRu/TEHl27ZGnG0jUFbbBfUSBNy+
-tObWuTYSkt+fMGwKHYHIn929sUQC/ojpubpEjoBldoyycdoIDOmXRXzRI+Li
-Q9tdEp53YkPLnsDjjBFwfBzjXsbOR8MTFCj5w8Wc2ol2y+XCfjh1/Cl7iy+4
-17clH6ZykdN3mTBhK+RH3h3nPM0OeKQq9aPCuRPLMteWfLDlwy+a0aY6Qicc
-llTZ6fa8A90trffQTvLh7jlfkoJw3o8+F1NwfULEpCHe6n2HRuC4ars3Vdgf
-LMbhYiyQsejklOluIg9kM5xMVVzJsFLqEP/9MQquOirafU7oJ0ExS/Zb3yPB
-hj+fjmTqd+PruVdPn23gQe4BidqOD0RYwtyTqxHRg4/TL2TmTHGh8dJycgOR
-AFfztDeo6PbjNrN9W7qsueAQdWkXPbYT5v7LO6Z4YxDPd5NIWwc44PRVRcG+
-ox3+Ke/1OHdnCFlZa7oC7nDg1ZW89pe1rUCpOSRWRB7GLOq7xecL2PB4q76P
-hlQTGKpblb6eT8e/xqOZRRJsiPwqvXP57zoIPdI9pCzPwMt7C3+oWrDg7gUV
-T/qvKtB5lrz2OVvI0Zb2w4dpTPDq2fd5+91ySHdNrEkYZ+K4a9Keq+JM0N4O
-pdW38yFCT+5L9kcWVrh84FFuMWDx3YzNc38S4GNC4e8nBmx0nQ5ys+6kQ7rC
-vEN3raOQ5oDHqsvZKFm7qMTZiA6Hp7R3wYscFJPM0kkW4+Coyo+mmi4aRD1X
-7FzUW4pOmaItRiocNJQqVk2+S4P7Rdvi1jhUo5Zp2UDmXg7CraauzL00EL/v
-rN5xqAGb+4unxehsXN+fc1FmNw00/hK2UWeb8YJkvKHRdzZqJWWU3aAPg83D
-5s7psXZskLDdRbFh4xIPw5UZtGHYYe1gdF6dgIfm1cqpsFi4vf1sVdnMMEym
-mlxROkHC13zD+0HGLOxyj0pM2EUDqRUeFdbyFJTI2hS7IUXY06ZrqpffocG1
-U+u8m9O7cLCvpt5ogIHHKaePFFBocGksKmyURUX+YkfZHcIeuD08/BDxDB0K
-tC81n+F2o5YFt/DeEjr+OKIl+nQeA5qYB3kpnj14vSJbf+0ZGqpKhDsGBTBg
-6xMzm9jiHly+aM9j3RvDaPRp80PUZMKWJH4B4XUPshIbZGOdh7ALP5Q9WcAC
-7fgVXmEbetD8djZf8uIglmvu2Rv8gwVKaQs9mq50o+X1lA2piwdQQlPX/0ce
-G7j66uq7NKiYZrpN94VUHyY7vgZuLAe+zNptGC6koPQlSd+EfmEPWuq+ejCI
-C8EqL/ZR9pNR13f8+WausDfJ12c8WsGD0Ru5QYfaibjNQ0HD6kIXOjL+eu76
-zIMChaBv8uYEzJEzfXfTi4yf95zXUL0yApb7/PpHWjpxpeOcyvYRIh7r3HlT
-vULIHdERTakeBFxcEjDXdbwTUxrdH1TI8WHp/EAjhRHh+gAzeuphB37096hZ
-tJ4PUatm76x9kYcBVr9luRQukkYGil+dGoKFpppbU6cuwcK4+OC4Ii6aMqvq
-9ZKGYDhhTfCLkHbY4/9U/saqDtQ+cH5B+2c++Db9i4j2I4DmHWvbpwc6ccy2
-8cDaVXyQMovIh2oSZK5cy+eXEzDzU92ybc4j4DB56jhFkwxZ5rcPBjqRUORr
-vxtJdAQen65Rur6JDPciiXz/CAreno362iz0jeoPNewqAxK8fNhLueZPxd5Z
-s39ll3mgpK0pv1GOCNdmTZ6b3xe+Z4vDkabyPLDg6B8dP0IA0+LzfkFH+zBn
-C+n00QYuSNVcd3nyowOs27uaruEAdnw45bPIiAu7dMRvrNvUDstPHwzljw/i
-94XfFF4L++HNxbNS9HMtEPF3vkjp2WEkPh6dNNjHga8P7cKzgxvBxeft814/
-Gkb85axdEsMGhsLFYI+rtXCeUtXs+IyO1laivde5LBBwnieuOl4J4e1P/JfY
-MPCcGsaddmPByplCWca/Yjj35unGNjcmzhWvZJ5PZIL5Br/V8798APmXkq+0
-97Iwz+PFk+EZBvjpBv/h2IeBzoKiazPC3r74T8LO9TYMsNr3vdH6bBJOufcG
-XjzExr63EdfS++lgpThG8EgvwA094dyQUDaOqZvd8rOlQ/TSs+8FlV+x8e6R
-eR9z2agaTHZfvpgOdpVOhnnXatBm5xKZ8hw2asd8WXmklAZhpkbSOvu/45rc
-8Y3W5mxs7RW7t/kjDepeHlufy27F2VceGgq6bHxkL5m41YoGr2uSYuwHOzD2
-qtTipd0szM2f3l1uQQPlSyRTtbVEbHy/5VCfCQs9AlkXZd1p8NF8b/GPjWSU
-FmsLnShj4uoVMU8OJ9HAUKaHkC3sFR3mEeoUcSZ+1y/rWUajwTzdfrfzVlSs
-kv3lOXeCgZ90qat3HqFDkUXglfxn3bj4qHJ0ricd+xxVk1mf6LAmPqjhRFAP
-Jq/PO1TiTsNImWnJbnMGHH7uXx70pwdvhB25cKp4GK0KeL4WfQyI6V5zTXpr
-L95gRGzd2TSEGo0//r6NYcL53mNl3yZ6MH7m3vdd3YPofcE7OtaEBcfaU/xz
-LXpwSH/1aFT4AFrVumnbABsmLbX2Jt7vRvm0qRcv+ELuqNuwLGmWDbJ55wxP
-61IxW3pLAHmuB+tzJuSDejiwzPqXzcdyCn4e2PvmZ3I3bjKXO8WN4YJPzpWl
-ZofIuPbfv7psMSqu/3ttu9ZxHrjE7jTf/IWI8zN+HjD3oKD1dfF4XQ4PLhw3
-OSK/j4BNLzyvdyWSsEPfZO10xAhctdfbHh/eiR7z9SurZYlouDmhRFswAhk7
-j+oYCnuG5uNnSxoDO3CMPlCqpceHH3BA07KEgDTHc+v+rujA3o+C8k8H+UD5
-2ShmVpCLCse1lkh85qJywbEn7cFDUGajFc2qd8ANjMzxi0+5eFZuwcxewhCk
-UCWjzHa1w6OXN67PXG7HkvBqubRePnx++bu+UY0AjfTU/XvcOjBQstQr7Agf
-/mrnLa0KIEEi5dSSWxOdqBrt8cYycQR0VMSfZv0lwcnKd3pKaUTcUKbKu685
-AnOjj5QpNBIwst8pTleRcfzMl5v3SDx4KljjkytGgjflBd+8SrvwLTEmdsUz
-HgwuI6sVtxMg/PuoaG1VN17q1q3fdIEHPQpto87JnUDJfFBgptyH4vzNyhI8
-LtRCQjpTrQOUisp9LyUP4FCLfTDrNhfW/Su0EPVtBdXfL8lryIOYdGCvf916
-LjzjFRzCliYwnkw/EtA2hKsTspPXv+PAHo5D3z1OPTim72Mtmh7G27f0AxSX
-cSBQd1vN/Q/fINzyiETZcjquTLuyTMuFDXu2jsy9mvoCk7wPKa00Ogav4C2e
-/c2C8VbJDorJJ7gsotLlNsbACSe1ot9KLPhNUqtLUUkD8qfXAY8+MpG8rz81
-9TETEibDiHv338DH3gmUCEMWetbRvjwbZ0Co0psnf6Uy0SzKYH78FxY66q2K
-ibdjwP2WA+ND6UUoeT9QoV6UjfI6AQHMMTpYGg1GydMrcaPhHt2DymysetS/
-fEs4HX6KLE4uvVGHyVdMizhKbHzeTYm00KKDwq+aI5X7mtH7mDx1PZGF87is
-zJAddHibaqkh5tyOPw8firT8zMIXNmUbdvfSwGErVTmnsxNff7N32nKKhb9E
-V2770UGDYDoxPGYRCZdGnY8arWGiR2hNkNMgDf4tltskNkdGV3eR6lvbmOjk
-2rauVpQOsk9X/DT41IUnRl5sN/Bg4GG/bfYD+nRYrmG/0XtjN6qFNETv+UjH
-njWil26lCHktSO1BEvSgy9XnSvf6aCgIOXGpehkD1ntl1R5VEPrAym071/UO
-40U3yYrlhQxwvxyW6Onbi1rTDGPDjcNY49M1u28fE3w2WlAGo3txjMDXeKEx
-hG1F/hdzh5jwsiptu79BL5pk+oeMGQ6i3GfeqT+pLLgzpP52ZXAPZpHFsxat
-GkDvzn/nFC6zYc5/KSxI78aKjHx9i7A+vL97JmjHcg74rJpHPX6TiptfH7Ea
-T+3BQlvaGRqPA1kW5nwLCgWdN79ahxVCXwxfZy76jQsGj+qGQrTJeLo5ZlXq
-ji486qp5s8iLB4lm26JOJxHxfmVFl8ELMubw85vrFUegsChArHe2E10+xv79
-/Z2Iuv/kMy5/GYEIo8wbT4914pxT0CpXAwK+rN70fuNaPphH3G+62NSJ8ePn
-877c7sBzO/JS9M/y4eifk5JGtgR0GLmkrm7SjvIj1JlpSz7U5RTfb7uYjdvt
-B54qxXDxQddppd84BN5TwbLLTz7AQ8YiD2JcuPjqtgQxX3QYtu1T1ha/0Qbr
-tvVUcwJb8TBJfkppxSh8/n6GFzLSCTovpkNCytoxlFSxTOoWH6RXt5y/qkMC
-gogYW0WtExfv3yS1smEE9H9+M1MtIUEaYb3rNhoBL4bcltOxGwEv3RW1Gokk
-IN2IXPZnloT3WHo+2RJCrjF/Mri1ggibDHfPX/OHguc3nz/s0MyD9Tc1pNcE
-EOCJ3aTmOtFutNd5evnYEx78PFdFbTDohB2FD/Zr3u7F8lOLbF7u5IFbH3t6
-GaUdAh5xU9NH+vHBdU3NNyVCfzC4v94hqwXUn+fffv9gEN06b/9e+X+u+a37
-PvVHIyxgeT+4WTCEpQ1n0rV7OTChIn+QMFALCwqtqGQhvyik+oypGHCgL8TA
-ep93FaQWdB1PY9Hw/YbZxDXZbIgOit8aOFcMY2/fJPi+o6Pn19motUfYcHfh
-ghC7gDzIohEtW5wZWP6g9ZJiNgt8htbXfXz+AqymGrQHdjPxVowyvUeKBbMh
-i+LFHGLRVn70V3w9E1V1zm7392JCl+zaAdGjH9E087LPgCYLvwVkiv4aYYAd
-aW1WXWMZ9odfCq8IYuGKVfGL890YsOXyo3GZ39WYZ3vgpnE6C5/FUDxCxBiQ
-J1r718W9Abuu2oa/SWbhmcl+8ZJCOmx2WGz5TkvYK5reSX80YGHYrnvb5iXS
-od596pGaQweGRnrnJiqxcF1Z5G49IR9Zlh36J1VPwNCXnfWvhP0BD5s4bzhE
-hxWv75JbR0m4blscg7OPiU3jLfs+nqBDW2lZ5g8qBe37rireimEgTXBxcocd
-HRhz/9bSH1DxhPu2gF+9dEzRa30YlkYX5o2HvlhfN5asWKBkKk/H64X1IaFT
-dJBaZaybwe7Bkpms7yL6NNzcepceZ8UAF5saWr1NL2o+KHcRCx1Gupie/JMh
-BhQapxyf/daLVKttttLkIeS2uJ9JN2GCzKKzkou7elGCwr1dzBfqoXbQ3kbI
-I4sUZ5VaInoxXu3Pz7r5g+jyZP77bGTBg5erxpuGelDyz5u4EqV+zNFrPlkf
-xoaaTXdZn5jduKHfR2b/q16052PEkuMcqJwtURwIo+JpQ93joSXdyNk3e9FW
-mFOOF0vGlBkUvNN7wMWxtwtl4tY81/sp5O71i01V95DxUoeTldZpCuocf/qE
-9I4HCWeaNqV6EbHMcNnBNd9IuPpyVEOZ0QgsGCsOOFLTiSoXIdRhPhEvadV5
-uHNGgL5qh+LzPx24KZYp/yikE6s+md5QMuBD9V+jAHnfTtz3K+ijT0U7yhRq
-hAd4C+fXSmZuodA3LvheZMS2tuGX0SAZLVc+vEu5ebtS/j3aSug7n3Xk4u2A
-RWoi00PwXcuvWZz4CbbkfxzOYfFQc/0azee0fnj8t736R2gbfHMRDG462oZq
-ux926YqMwj0dVJ3zIcCd33r78x50IGGxhnHtfj4Mp6jp5PKIUPTjS+WEIgEt
-CM8POeaPAIeu8f69NAkCfq7b7pVKRE6VdZrYrRHYFbaSNPyECJ/0Hg/8yiZj
-6S4aVVdhBBSC91XNfCKAh865KZfgLvQsLJ1a3M8D2716hzpjOsGr/bPHkHs3
-ruhlnBkRcg0x//Gye8odkKkhF5zT1otOYdGd83V5MCN6xCp3XRv8inj04MH+
-AfSVczUbI3FhcBFto967Jvgun7Cc9kzIpyS5quW+XGiydJluKauHWAkDD/WK
-IZTroQkUfnEg6o4I1+vON/CmdfgMdQ1jZlseY7MNB5bXfvybW/MVKKcNcr73
-09DJwcvjRCsbtL/NFKX2foKcs0fOXouk46lwsum9m2y4U74haK9tOvjbEnzt
-LBl4S/mauk0dC9xumLSEJR+GmlXWuRXLmGjuMcCat5sF/0WLDRKi01FQ3Nzl
-nsBEsYr99IAEJkhUEkzHBz+jV/qcS+UcEw0uDO9COSYM14t4OQZVon6a3BcR
-LSHXCGTnpJIZMOdA9LojXofixM/U96dZOJvjHXNAiwGimV8rVjk34cmFzxet
-1WZhjd4SQ2sOHYilKvmmKm0Yd2fJPcsJJtKHH/Nv0elAeJh69KBSB6rnMSpj
-uUw0u73hoGkyHa5ZdRwuDCfg4diYFddCmHi/c81Ol2A6eIR57B7/SkKZnbby
-CouY6HXO8NrFh0I+sol8tOIzBZeebY5+b8/AGxGP6lyFvnTvunXiRjsqRvb5
-7Bcvp+Nwkm34cIvwPJTzg+sI3bh6UjAmM01D1/Dno4/kGTDvEecVf6QHpX7a
-Wdsq09Bh1Wm/cV8G8D7XuOrm9+JMatCE/rlhXC5h/szkNwMGb8zeP8PoRbV/
-5j0ZH4cwQu0x18qeCftYb9bLifShVgRTuqNhECvH+tWHl7LgqE3++qjKXmzR
-Ovn4xpcBZBV+eTtWzwL1CC4xbU0vsvQ2qqvS+tBJ5f3b8Sg2tBzrU9y6pAdP
-DmrdtPLsxXH518Wfhb7xRX445lY5Ffex40mPE7sxwH01M02BC9M/z24tW9OF
-GUuzGz83dmHvhuQrB/hCHfassbEzJGOCU/e+Yzcp+Gy85dfnZB68tZy3QNyK
-iH0SIevtRMn4q8I7XFJvBBI+ybYrvO3EqH0RUjK3iKhpOZYq3jcCUYvN7pjb
-daDbW6O2W7rCvMbvL5qAD6/reaWiQR2o4FRuW0fswCnb7frRnnz4eT+gIZbZ
-iQV//cVDh1tw468627PpfDhYtHGvUkERqDvEb1GxEeaL+/CynDQGfBqKSw98
-9RUOFLEv9TUI0EabKlbI9IF10q1X90ER7lhzrh4HBCjjjONbR2LgoJOHRmn1
-R1yrqL9CYkyApSP1S3odfCH/lGaD9dYwUN6ks0binwDvpwcb7j0bANkyBfHS
-S59Av1XfukPTAvyta2LyO+oNtKUYjYVYFuELsOfuF17fSMM/M37/Uwi5tGN6
-04loePSVa6st3D/19eU8tHkDfY9m5DelP0H2fJV5KrMC7C4UGRPLjwO6tLan
-DOsLPGjk7qmoEqCX66f4NOl3QN2idCzr/XsgbD3UJjkhQN/Xzlnc1DiQnh68
-uOTGOzQ55cNcOSnAK8Hhy3dlx4FhU/oV93MfcW+8tu0nvgCPvjCtHvJMgO/z
-1uYeVY8EL/+ucEPheT4Ft6/4/f4NsPfsffTFsBa6N9dVGp8UYPrng7vCTlWC
-f5pclUxnHgTHm3wR5wlw/aajvUe6E0GRPFm7uboYzu7bXDREEuCBnuzye1Vp
-0Ho2pO52QjHqXh+YMCELMDp5FVO9Ig0M7U0jxC+34b2k0HuknFEMveh3Zs6v
-GsrVTVYauzfBvED7xc3rhPf1jmQfCsWQ0miu4c5tgog0r8HLKwV4qSvG5gKx
-GM5b5N97WhcBh/89OvlTeL9Tu9g2EnHvYLmcsqyrRwNq/PHUCjES4Ip8TrSi
-ymeouTaruG7fdxx7e9r9pooAT9jOfnXzKQb7mozNWfpFsLr/UH8wQYAxewNX
-1avlwE7tHy+TLfOAQc6u/kMXoHP53MWRmHdAfGC174xyLj5IjZN+xRLgLQvm
-6+S776AtbmF9u2k7nLtc+dAzZBSTC1dWn9hRA72it3TND7VD/UbHgPSoURRb
-N2x8vewbbO+9qZe9oxlmtk4Zrl8uwJdWCcvHzUtAmfuKuO5MFehalFwsSRag
-qtaf2S7tArhKaPwYXlSES+49/+HTIUCXzN3ivitz4ZST2mFCYiXGicqsnU4X
-oD3r68pdGwrAjSufV9hRjYurxo9pBgiwzO7yhv32JfDVUaItVbEJjwYHrjNR
-FOB7g/wL7tRS6N9CaxXltqFgvtnDW8nCcyY+EvMW+Qa/fHIK2b+I8HLJ/MO8
-y3zMHlZ9ZTrZDBM6F7jRn4mQ5B+4cZMPHxOuRer15DSBRpeWswGvFcKuMbYv
-bBvFJ70+lwyXIVwIixk+tZcArqfl5ja18JFqOmtm5vsddkX5bZb42AG7CwaC
-XJRH0SXnfFxnfz2Y+JerR4Z+g0a99U+afQVopTB17B+zGIpIdlVelGigK3Y8
-vzooQIdjDm+uyRZBdkG2m9jvNnRw+RS0OGkU17cNm2xe/g2euFXn7z9AxGkx
-+RrHV3zUf5O8gLCoCRKy225GhBOhPrBqw14pPhrJ302sPdoBnvMuKeprEOEk
-z6ztAvBRz+RWZKFRO4QOfjEo5dbA/Do6pdRMgHK+6z0flHyFs0/PPbcIaQBG
-q7LecVkBPvi2fFGwYjW4nA2Z7t9YBRMHaob23RPqOet2/pxYBfxaJShWy/sI
-R2rDz9u3CVDx9r++XfQiUJD8cT2r/wO4KzReOSeco/1a/XGty4rgoX+BzbXH
-OfifZ2vuGaE+db9on3KEIoh6UM5tqPiGtF1Nz/JsBXhyRmx+6u8v4PpjqPdg
-Qz3SFjwVV1gjwIxfR6+SdKtBZF6TctapTvxwxWL3JJ+P9Wsj7bQKvkM1a8tv
-pYpODHHe9IjbxserG849JIc1wQ+S88YthUTcW2sy3eXHx+Tm1ZoY0gTcn6UX
-PpcQ0Dt04TdbFz5qB+SW/FneBp9P3nMoN/kGNzdYfv9RzcewFzGL811IcF4u
-New0iQS+X1e6nT08gslp1u1hhUS4dLTEM9iKBFQWr/ae/wju/Cmmt7aGAHdf
-t0zUFxNgPLCVYPGCj2SJk/o+4c0QcqwqmNjTCPZyPoz3g6OoqeO25alnLSz3
-eCF4d6geVtstMNzfPoo9CyWe3Q9vBO1bdWrcb5WwMCh48IRQ/1cvzTfv+f4V
-4K0NLXdPFUQ05d/19xNgnRHjRIlCBfBsNinObShAvQWCzRsbBbi1a8Gx3GvF
-EHVAI2t5cSUmZ691q3kgwKeFP05MiFeAZbPRLt7iKvwl7xv0V6hPl2UrDq58
-XgHX1KvMcrY24kLvKe2fA6PoGSx5LNOsDrJfDhj9PfId5zV+//gwbRQJh8L2
-ALsRfnIGp912E9Eqzlwy7iAfNQI9a/sft8PC/KBcvjgJqzurxWXSR3DNsd3R
-OccIYMnw2FmrXQubFzyTcfjIx1Kbg/3adiTou74pqXYhBTjTHdYCVR7aHIl8
-av6qCx78PJZ26jEZ7ilJG8Tk8XDi+IjKKxIZzv4wjU5o6YRGq+m+81f56HUi
-wNFUqQPuH8iLL/7VAUGl3628wvi4xOFiDqetHTL8VRSSr1XB0a065Hd3BVjz
-dpex860KmAzQCVkd2wiCDxO+BOH9jrja8I4O1kJbj7eO8pd6OPRkiZToEgFa
-35KOWCpZA2ruUpPK6oWgE3OF9ytFgNXP61o7mJXQ6DDZJfcsBXo646gfioV+
-xYhPOeBZCaVGvD/rRgrxzLqrds+TBNgY9ihO/08lzDeMN+4WrUfHmsz5yTLC
-/OrvvWMmXgOdD6qp9x4I+SW2fOPY4hH8cbxp8tFqCqz2MhnlGJPwwJfWv5bO
-IxjcIMWaVCfChf8EeZsXktFhwZqodyQeZlhHHaK9ET4fHS/jfmxAqbGcdJlM
-Pr64yPt8MJUITF0zuNBMgbQrcQaX1LlYIfXMtXiiB+IebXt9/RkF3K3/rviW
-ykVD5Saa9/1uSNEnOXAHSFBvbF+qTeYhZUB53tpqMvxSt86/ktQGW50maqZX
-jmJqna7b6d8twMo3V94p0Qw/d8pcyE0cRcW7pr74rAGOzVhtqR0rgJqpH8TH
-bwToF/zu20VOJSRkhMsXSqWjOy1IQ+6TAG33zFr0x1SCsTxSGgYL4YJt+m5n
-4XOLmhbx059fBVqrNc2k/haiyzjpmadwfSv5pb/DVCVcXLO51nHfJ6yVXlf7
-7rUwd+w2vTabVwWB9ZO65z43YoBPjOUOgjAXzENpr9vqwPz72qXrdJrQzfOx
-ckHWKMbffPK8I6IBZJ3WP3yU3IGP6fInY4X6qb+uffv+zg448zCxI2SyFYkr
-zdlshVHEPO6bZNtWqL8r3isi1YkOqaZpp235+OH+hzceqR1glmg4X0WfjMYX
-zPPEI3mYuMapuvMLBaIJCZnuZUQ02Xm0IrCHhzOHH0z3faZAXuKpZTrJXejm
-MPohzYmLzTIXZN2ud4NhISHk7WQXJtGKdR8rclEyXcdg6HwPTP9bqybvUQuh
-7h9q7VP4uEs3W3VDLglcvhYJOI+pkLS94WFdPRtbvusoBDkNAMFY8G+eCxXM
-D48qWRzm4LEX8vSSef3wqtBeruAsGapPnn/L8ONhX43qsduzFMg4YBl+VY4A
-sbV/rr4S5siC/kPBA686oMtO//k2VyKUnjJXOxowgppZtP178ongPfljqOR5
-JbAXfhha+58ADR0uW1cn1MDqW9qqTauqYdt9UfX7GgLMzvfWtX9SC61f73xZ
-6FGFEmXtNxbqCVBWKyLuiUQtZB2OGnp4oho/b1cN+qQmQA35568DY2rhRb0O
-MzXzG+qWxWOgggDXLg7KGq6rg2vjb1R0LnTh251KkimhHLxyynCr20gf9G5Z
-W31taRfuvbPuYuoKLlrEBWo9gF64ne+6WnC6GVQumoSMq/MwU2yNwaGIfmg6
-Ly6So0KFL74akSjJRguKldKKH4PAyU013cztgiTyTgm7YjbG7uZanlg6CIqi
-fsr8r12gle+wYpE8B5eUE/wylw1AfOCmfdRsMogvDp+9fYCH7/3HD/z40QXH
-/TaP11SS4Fvx8u1xGTz0rCe1ZFdToNVZ8+Lt0g5Y94w6nXmbj1sWiSRUpHXA
-ZEl73VatTgi6JX8y7xgfXTy9jZTNO2H3kYPT/iM1kJ0rb3R5blSYqwJpGZEG
-+BT+YLnFq+/QNnBcf8BhFINXug0d9GmBh/9ENnf2NsC7fGf9FqFvyz0/Pe+9
-ZhNYto2qVuqnwzvtoLK/LgL8848z9OFUPfTr3daOzMiEyhFe1Gbh+mkRpbob
-mvVwbE1+ZEpRMF5437uT7iH0T98LKa6P6+GfmQEtf3ck5Pr6U5uE66IJ4Gkd
-WA/h+03K5Je8wbfup7HMXcgF0bK/1Qzq4Y7sxGN4l4sW3HNbC4W535t0jp6o
-Ww99e/zim5Y14lKTqTHt1FHc39yefuhgE3yych07Ht6OEv7+RxdV8nHdZOzg
-zqZ2YNXpb9t9lIjHju8YdvzLQ522N95PAilQpasX7lnXgcOyprGJhnzknNe8
-eje3E5ovB50sLCDiCy/lAy9e8/B+bvA1d0oXEEhFzkW7yajabrDktCQXyzdY
-0bNJfWDV6dGz82MXHpVWsbEJYOP+Kqvd97wGIWyzxQVGXBfKGy05xxpnI5ez
-6M6rjAEYWmfy9VlGCxrPtJX/UBlBYvzP8wscuyG8U/OabH87TIX6aKnVsnDn
-5LbC+HwarNyhcYD0oBYmRdVzbiTyMdRln3GpUB/11NW/BdepsKWx1i92iolB
-kXZXHP8bBtftqnUiV6hAc5l/JSyMhbXlCxs+PRuCecHpEd+PUaFKKyNlowkL
-422k9nCHhmBtSwjGjXXBVPjcf7N/WfgGg3YFrhuCHNG0dY9YJCBGqRXvDuVh
-wh2aKGlbF+j4VX5Y/4EI48a6u2ZmeRgxZUGdXkeBRa1DR5kJnXDqfNGr+JV8
-DFbX1tNYQ4ClnPJVhwPaIWhG6/tHYa++xeIZz9gRIMLnSFGfXzN4Hzlh8Gbr
-KN4PTvWblGqHJydurlz4qwLOGI/muogK++EMq7l4XxOcfRTmQXyYjYyyLQt/
-2Ql15ZCydfxsPRjPuWUf0/0E5X27ngcbC/c/GPNj+jWAZsktVWpgHiz4tZ2g
-f02AtY6Jvo6Uepj4virtT1QhSmnuffrEVIAF1dd9jDvq4W6B3I3wsXLMYc2m
-qm0XoPrhDXp/kxvhtWKecwqlCbvcUtWWnBhFI/6JLKevrVC93a/f8Hszxh/z
-unN60yj+iLp84dbCdjhsHN69qqcd937eKPJKOI/H/L22db0hwNiHxLyspk68
-+/D0GvnqEWT2M307u4hgFbcnu1OWiF93PryhPn8EH9xaU5AeS4GFG65Lv1lC
-wYnd66LDFdj48Hn3cbnXQ/DQ5pal1XMyuphc0Li0hYP6sePRm44OQkfc6Yoy
-fhcWysRLVnixcMnU6hOexCEo5Pc3G/cIdVgVwSkbZeGfS59er9Uagipth5Ua
-uc2oGEgazw0ewe1LB1ueaFKBQcluVtzfif+SJOLPOLFQtfHy9LY2Gvifr9Vj
-KXVCPItddm8fA89olNF79v7/d2Qxhw/vWuD7EdPdco+56OjeLC9mMAjpvtcl
-L/pR4X2Z9oeqe0ws0NOOfNk7DDdG4uJvqndBy56ZG4JdHOz805X/TmMA3k0Y
-hIw4kEAv19eu6RYPU+3LXbS2U6GDYXva4Ewx/BdZpeegLcAFnRlEt7ON4Pp5
-/gdRVh0Yf+Qv9LQZxan6Cv4xy3bY0TDcqJ1cDfd/exiotYwihOlKyxq0QOXb
-+d37FpWgm/7L4bSjAvxesppTH9cAWXaXf+98WYXRT2T/tY2PovKpuLfUa01A
-2rBR9I5bDb6KMtQuKx/Fp2elE8bUW2DFxMuhzUFEXBjWHbE0nYe9VyX/Zfd1
-QdG6Zq2qI2Qk3Sf8Nf/OwRv1i2/kvOuHFbfa0iZcKTju1f6sUZOJXzKjj31q
-p4Gk+l6jhGsU5G8v295qx0TjKZ3rD5JpcPlk9KuOZVQUXx8w98mIiW+GE29O
-atIgS/1agq4YFWkePQ8W8Zhot+f5EtH7w9DlIdnwTboT42b++zw+yca45WYb
-+weH4OT4EzT9Q8SG8eHilz10HIkt5OUOM8CaPqtUFUGARtpBT9lTwzg9dsMe
-LNgwJ5/oOiHbDtTH/kfMHjDx4glyVpcBA6ROU7e8/Y8Kx3vuxG3pZqDWv1CV
-wkwa/CW1Hh64TAVF3RUGKTYMtKbpaH3aSIdvOs6S9907YE9t+kXfmRHsP6l/
-ebSOCFohA3HTOZ0QsGAvI819BM3FKOqScWT4YPd1zMmmCYpNZUUv1Qg5q/P2
-97OyBGilb+xAhQZQ6OqMKdUdxQSHP/B7rh0k5u4aH/oYg9T3/vv/iQvQvqBm
-L0GqDUZP1IVFznsPWx+Ja5hPjqLryfkGi5vawH6kadZ68D3Gcff5LRQRYI5D
-5R9dSitIGpt7ah19DJODxGhVKQGKFH6iLWO0wppdmyJvemZi98bAwBWLBMj+
-NeLaPtwKttH514PjGlF6ImHXeR1hD9y78Ujby3Z4Juo2fen4d/SRqtdepTSK
-lON+d5pG24G7QikZt3WgYy9Whm0TcofucdVfy4mg12yUrLq6FScvK3ifjeej
-q4N35b7tBHj2VO31j3kEfCWXKmJrOoJ+zlrH7hDIIMy5hZv2CHOnJum+XDcH
-J4jr120M7IdT80x23Z5Pxv2C9qzfy7h4ITSyZQOzD/SVVbaFilNx3ZYx/1XA
-wP2Xv6i+sKLDluRTs5OKVNSsyqrIrWFg9h7V+BHhXB9fKVJ7YhcRLQ64qP2h
-MPBxkXS3xGoGrCcfOGnoTMYDZvVp3KIhjBBbkZG/iw1T4huc3wpzMujgp5X5
-QXT0iFugklnEhNbdIStEHangtCnC/k4ZHc03aZvEttAhZ8t/voczqeB9LO3g
-zTVM7DkZ4K50hAZm+0Yc452ooJXst6fRmI4hjKiDx9QZ8GtGY8+r/C7ox0f3
-n9xl42bn1OaDgYNwzvLaIaf5FJgZupA018ZBWZG47u7Fwvl6khCTTiDC26GP
-ThnzeWitPf9j1ckeKFufkXP8LQH4J4JEWyg8XPP+9YOmj11wZ+6l2kaFdnCE
-TeGvG0aw+Zee4VwvGbL813RxDrSA7IIbbVnefPyxNz0kSMhN9z9GVgWcfgq7
-ok4yRIQ6mXF5Wv6Q2gqBJemazp1VcGzb51jfk6NYPUpr6EjshMh4we5/9M9Y
-dOrR18NCfpc69WAiR6hDPZn078PDOeDzPOSiGX8Uf564r1A2rx3mUn52p10r
-Rm+D3XWa1FEk+Sy4c+BnG9j4XsldmNSGDWUppVqX+LhIgT3gtIwIpqxTBEFa
-Bx54Eb/7evgI+iyTP54/QobiwspQ/RdErLZfr7HoJA/tDJLW+J7vhguak+Fj
-f8gYvSV4hhjExlF5L9VzS4cg93b4M0V2Fz7LbCy5toOOrnrByWIBDLgbG1Pg
-LvSZbvl35yor6DitH2TvyKJDSJOaF8WYjNbFn2FmwTDeJpppxMyw4Pep3T9z
-yglQ9ema9+7OIZzd9v7bQA4bbAPPde43oEKW9/rE2/k0jN6+d18ggQEJfB/v
-IF0qvDSIunbVmIbnPK+v1d3NBOdFf2IvCPtM2Dy+8ZNyJi6Vle/YmSDMi20n
-3t86SwFFmSE9KxcOSo9pi1lLD4BNz/EGmcsk0DXf+pAZxsWb26W8fnzohaKP
-Ay+V5TuhMvBtHquVhw2VarFLZ6lQpqt4VpLbAS6RS07msHm4td10VDyXCqie
-sayWUQUxPNLDUYNR/Dp6rf14aieIfJtxL9ctgr/On5NWN4xi1F9+1am4dijd
-Xxka+qsKHOTcVDfrj+IIZ8sFxrtO+Bkp4befXwVtke4rdYXXKdxzdz09rRNY
-C4YVvR8iknJ2HkvIGMUBGHiv+rod1qTsrol/UofpS57NkYWcWJBZ/27icSeY
-FV9+wlQmYURFyMNHvVx0ptAWTbzoge7GM1MaB8lYnXRkc2AzB11/FsS/y+qH
-HdcD9F9YkPB3Tn08N4uLia89ao8f7IVBEXGa0wcKmiy8YS35hYFRjBm6uSEd
-st8cuDR2lIIyKeZV8rdZ+ELEvX/lrWEwuHjD+nxJF04IONZG62m4Vfu86QY/
-JvCde8Qk+oTcZCbW6pNHw2sGO6VkJhjQ6tCq69Qt7IPb6m4FPBlG2dVd/ylz
-mZArFu9HaeoCVmz3l7QDw3jwSkalkQYLtktoqT1ooYLx/SPRU950tLhgdPu/
-MTqsH2stvpZChSbD802RAQzk/+dvXzVKg/Uxlnr+Co2wX8afyj/Hx19nXgdx
-L5JBZn6oBPF7HfBe+Z8rzuCjmN+DvSn7hX24Tvv45KaP2NJFHEl2GsV/ex8b
-MxyF8x+8t+fvGUswum/17ZX/KG6y0VWStyEAo2cqq5idgtmy1W/eC/efPRPm
-GFJAAIP40mPaHXmoGyczulC4bui4yE3EkgCsood9B+Tq8WZk6rqNkqO4xH7h
-rn8VnRDcPlqTt7wZl07u5k1Z87HDpuTX3CISnPM8KC3+nIAHpMe2N7zk4RfL
-UwlPvlNBG3vcjo63Ii1+4v4ZYT663ApdtvkkGTbP5m3NmCCjXmnLZu13bOyG
-q1GaPYOQUt7nkWFLxoO27VVz9hx8+XPFmcV1A2D16ebBeQwKptmZbHEQMFF9
-S3DvYuow7DX8ruh6j4JPSU999Q4L87qWr/aTSoevi6g2XiYUjOspMCioZ6LK
-PdlfU6o0uFVYNb38dhdubP9CjN4+jOszNjF2XGLBbbeMg0PpXZgbMORkmzuM
-zze8CNAZYEJ3eszh+9gF7154q9u9HcLLpA1IzmJB14DygqKvwvd4/5zR/78P
-Nepmh/r9NNAunZHdX9YFO0qrVWtXDqFcf9v1yGVsuP72RM71L1RYWli+P9Cb
-gZPzjU/5CWhwdEZH9TitC7Q3sS7PUpj4i5yVx0kdBiWdyGVSuWTws51231rG
-xsX5LvVz1EEwHTYtuHOhE1LNM/r/vOWh+p5BjcePuyEp1dWh7UILzCTFtGy6
-PYLXtzsq9plSod5oZ/IJ+WZgKcTLe5eOYLtkAqfUswsG3y+8d/VoKfRxfZIf
-0vmY0TdxyWmCBMk9Rz3Hljjiq8OH1sT4jaJv23uFXHehHsaY5XHW+SAVGO50
-/cAo1lOaJEmfiNCdV/dtxd83UHno7Ycr1qOov+PJ75YhAtjEZvg1DKVAMGVT
-+albo2inzw9tpxLg/QXHgJXnS/Dk8pWHnYS+sUhjVr2uhgCv1/3z/51QihtD
-DbXthf3nBM1oZTlJ2NvUNZxleiqx3dBo5YE/fLwc+OVlew0Rcgn3zho+rUWv
-Co/Zta/5eM7a4ODOEhI8dnolFbKgA8mRNzPW3hjBvYbOu4qVu8BTwmvocSkB
-13FtRkMe8VD/7f7zl4U+qWTyK5FMIKDIXnGNVk8eer6LfaWg2g2iQ0azlmZC
-Xck3F5zVomE10+CfSzUT0kSZiu+vUHB9wNOieddoqPi05kZWKhOSKa76C653
-4R2z20/qF9Lxjt2uIx6NDOD3e1+iKXShdq3jAcO1Q/g/is47ngrvjeNERQoR
-KpSQ9tKgjKekohQhpZ1EgyQVSVRGRMlXIUpCCdkRGY+9M+6+5r3uHkQSLf3u
-79/zOvf8ce/zGe/7xzlHttE37NjChz8b6X+2n6Th7tfvTqpVMzExLtHNIIcH
-j8cFqq10GnSVdw20VA6i6JSMe04PH8wzhJdm5fSA60m4s/Y8C7tHVe8cyOMA
-N/REvK0WDeTl73/hpg4i5/kwO2u+AKyclKaNXvVA6Z7tDS83sJB/PL64ickB
-l51Wt+RodKhY0DpksoSFWdfbZySskfhYv3hxDp8Gjf2Z91oquCiXfcx0T+0Q
-6PbWrlrGo8GeHTaf/jRyUb5m7qILJUMQovQsG0kUuGGp1SXjxUed76dlfbcz
-Ier9wflek0QwMTAuIh4R4jfCh9mrXAbg65lu5VIqCSggE33YToDS107b7PmP
-AVtvj8kZhXXBCb3pdLKxCGva2xT1D/VDp47r2u+JnRKfGHM+USVC+y8aQ2NF
-vTDI+aRbF1oMLR9SrR0UR7Ak+6SijQ0ZNI2kfwesb4DZC0r//usVY1XTfuX8
-R3ToO3hDfN4sFSacc99nuY7gz/nlixdziHBZZTJZSrkGdGpVIlJuDmPS8f/S
-3e9SYerwuSXCl1XglX5OXydjGOfSKq9u7KRAclHs3EsjZXghbbO3Boxgtne/
-+5Z+IvzgnIpTu1mHN4N3fxhpGEafI78L1x0jwyut4NJ7Vs3opyejaekwjGFx
-C1wEjymw8b/AN4uftSJZqlk2Yd4w8vuehdYepEKquXuprFMnrsr+vea9kxh3
-cKzTXXZLcjyAc+Agoxubb4WYhs4U4y47b4OF2+gwllX8XkuXiCP3mmUrHUVI
-eFF3aa9ZLxwEh6kuMhm9+8PFMj8E+LiAasCTfP8DQYp6YXJU/D6xdfhaOB+v
-36rwqJNhwiJf246lEr5e8MlmzHWVAHsfuOu672BADsxwMpSj4YXGeyk+blzc
-dLLpo+E1FiQRTmlfDaXiKcq1ay43WPhqm1DDK5QL87JLLix3ouE7xeC5VAEL
-M+w11TQ5HNAcUl66chUNW76RmMgZRBrjHxz/yYcb1vK6We40RJpq0JKLDFxq
-Oqc36hUftDqZNu6fKdjLsdZ06mAgcfae4+bIh8/H911ffoQESo62v2oWDeJq
-/817R+cJIfB8/Rflr1RYKTVb7YP7ID49bpCruEEABwqNz+mL6LByv/GFIziE
-Fycv2j+9xQXPpPqS3AEqbNN9o7osYQAVxfyum9cFMDWHXRvSTYdz+ndk9l0e
-woI/ZRlNdVwwW1rIFMRLfLSgI9zdmYXxT7x4tXO48O/d0I27dnT41kw2kE9l
-43FH9dsGI2yYqnZLMNst4b6DN6Q5UwIck7JV/mQrmXPTLv9E03rgXRhjDkoN
-I7kjZme0Kh3iMwqibNa0wKuQi78d5olROulC5VrNPnCZiruQEtoAt+/4yI21
-ifHT1aoz1dV0oE406s43KMELjDWrLyQM45TDo/KBIirs1GRylFViUPHvRlXv
-kv//b+azdriCCje99s27avgBRXP9CYyXw/iTnPI94B8Vdvn4rHVY8gndT0Z5
-n5Zw2RnzLuKaLCokevXf//yvA/vvXtY86SrGz+2P+Cf//z5r7JOHx250Yphg
-u5zeYTFOp2xY+dFeMocay3/XbCXhsoXV0xYfhPhCI1jsI9MP5intv5/OoCBZ
-Jy1V7C3A1tMvbedODoKUnVJ1tw0N6y4qSSUXcPBPQt7SIn02rM/TMAqmU/Hu
-fdmbZx6w8ZHQxu/JbQ4s1D105MsqKsq8ngxasGQId29qQ1IhD15GzpJ/epWK
-Jjtv1J2S+LP9a5e28QoufAsZf/69iYoWpcv5i3wH0dz199i9zQLo/tzBDc8p
-Rd0H31rCKQIUKFCYI6+HoNB1xkZNaRooDJUXb4jrR54qpWx3iQCsSxKrIhxJ
-8KRT8HbLrwEkL5H+77qGEBI7n9FV3tCBr5a8OuMKE23rxxTV4nhgCqWK5nlU
-4L6r8C1+3IfTDe6WR1WFQLSZvSnflw6Dug1ru6YZWJC7+OOsUR7Y+CzJ4Pyl
-wq/5sfK7v3PQP8DJTDjOAt0HOlmhUWTYr3rVKsiaj1XLGUf9yUz45VR6YP8Q
-GQJOzMmuceWhq9QH7nzOEAT/nL7scJYA88sbPfKHBMhdXuRUe5kBx1lb1E54
-EyB2m0XL9w4BkqIbg6dCGHC+qvCbSkk7TI3ei1ajCvFdjdcKzZpBCLp9ni1D
-aoHL0hbloXQRZim+n1Sp6YOtHReqUp6XwBWXsn91E2LUffp2r1tqD0gpJz52
-jnmOcOLycbmPw0hcMzbDvoEKeaS9l24mZYPr9qk5Z52H8eTvxJADe+iQ/Z9x
-sr93LPxSz4mxkMztaduzWcvsaCA8tu962zUfsOXbnXn3dhidxrebc9RosFZk
-VMMzq8CC5tcpqb7DuKP8KHGbROfrOspWy56uxhSN7dtnSM6X0V6owVpFg0Vf
-Lp7cZNmApzWe99dPijHraU249mw67N85Vq63oxXzwo594F0VI+fHAh7u6YH6
-ffeFrxUJeP2my/EYNxEuCDQZL8/vBY+lBedajxHwfvnHrwMgwrkXJ2k/Nfpg
-4bLiU0FpVLym8PgHncjDzKQvqWWtEv9se6q6bYyKt97Z9t0x5GHno89mNg+G
-wKLlxY+NdlRcr5CU6PVvCHWUP+vK/OBCROT2H7k5VLxx/v0Kkf4Q1ub3hHKi
-eHB2YZ5XSh4VOYqs4L07hjBePMeZfYcHw6V6gcEyVNxtq0BXbGdimKjIlv2T
-B2qr6YEOUhJO4cxbu/l4P75tuZr5skkA5wvEX3llFPz+rzz74RAD9+6bZiYU
-8GHfn2SvC1kUjJe7Teo6x8D+f8Gj2xUEUNIek+B7horHfCL+yJ7rx0dkj+UP
-hQL4TPPb8YZKwfYQC9+c1AGc3bmOdyFbANkLZ+kzHEhACHt6fpFEF30eroVJ
-El38XVigE+FDhYqnUaoDL/sQ5yrxsrWEcML9QEn/jP+/izRf1i6mHxuc5/rT
-ngjh+2iGoaaEi+csOVPasoWBxUMulXnhfJDzORJNbKaAVTdJcY1WL5pMLFR8
-kyEEI2Pv6+fk6CD/X7sj32MQ+bGK01l8Phw7qXwktpYOvLx3W0dihvCA5d83
-5Rlc4M2bN7nUlg7imrrEO3JDeOLQI++nW3kgE2/xly9HA5ne09xHqhzUta+m
-/tfPBvtfPw9tlay//Pq9eiCQg5PCqAF9LzZs9l1vJHOQAtYV4wejXnFwl7ns
-7WdtbNjZxFvZbUwBo9TDPTOluKjwHILaL7LB6V/4sFTaF3iaZn3HPUKIfXq7
-xal7GaAbuy/Sb+NH2PW86pWuyjA2LBh34FtKqOf3l9Lnl+PBmDrHvTFmGNll
-LIaOBw2eCz506C9AkIswt5J1F2NE3c3m/Gt9YHnVY09oaSls6Bue0CSJMd+9
-UqCj1gvEw2hEl69BtcDQFTdshlEqd817RWsafDlwlHFudQt6Hd07P/yxGN+n
-p3CkZXog01B9R+TaNpy//h1l9KAYo3ehjVJcDzjdVbOs9ieh7hvSui1yQvQe
-Cru/f8Eg9JOTWlKsKLjxampZsJkA7e2oYaNbGZA/6jjpH0lCdYvQyNnTAnx7
-/P6pfWsGQRxQo38miYp0POFW087Dpp0Kx3kUJoxF2i4oOEhDmSrledRcDjpt
-L1DyXMGGqwuTko68oGF+9GLZ3CsSfr+af0vlGBvkn5HX7pPsX2q6v+3tPi6y
-JitnaQWyYPBvp/H7EAr+HP4huziQgU06xXNXSwtga3QLZ3QNFQWllu/+rexH
-9v50i96ZQiDN/Nf8p4uC82y1L/c+GsCJAL/tk0UCMFT/T0dPQMEHQ4ZRraF9
-6PFUn5qwSwj5hKANez5Jzv9TQnsg24+/Pbef+rBKCHE3HJhNX+oxJPDNyJV8
-AVbLv69+f2IItOWoLro6nyGj+9nfyTgBdgf2n9P7OgSX6Elqc5eTIE25QNpI
-oQ+jDd73Xx8TwjzLWYFt2RQQmc0L8s3oQTPz2WDQJoRaHpnN1CXBxc+7LN7+
-6MW7luYqhpNC2FOVBxMEGtz6T/VKqeEAMjd1UXc6CYC7oX967CUF4l2ftezU
-6ME/haGHsyTnH13bYswpp8NEonO31+0hdLFedOVVJRdEXi2Ju6NoMJo1V+OJ
-dj9q2q6cSfskgN4lfuTZV+hAFP2OvKDGxKbzZVIHWTzw3f0xoUBKwr/9B96a
-XWehp+HV+Hw3LhzZMRp8vZEIp0/teqw6xkM96tW7M1qHYETj8/MaPlHSQ0lr
-KtN4aHhQnTNflwU5DfE6bxLr4LbXLHm9dBHatDQ0vygdAMeOwbq19rXQW6mx
-6ypHhKxTA5+m/vRDxvSzm6+uFOPejMtmL5+LceLDuZBbln3wrGC8zqP5LV48
-6OwTIuHZOQ0rTX6r9IHXwbxfKoerkLPQP13qkRjbul9fejPaC0sif8svGKnC
-mCvfV7HCxUjI3lbsKeyFI3hc469pJy5yBK7ZJxE2j5850S9Z39zDNIow6EYH
-D59V4hUiJDYZlZdv7IeLMLBovSYNnfbcXSazkYddF299rPMdArmZaXM/LKfh
-OVuPytKlPIy7ZJVTHj4Eh89Vpt2Q9F6D+V+aPOYP4aIDUXlXA3hwbUmM/KIj
-kp7sutegMpOFW5ISf89eyoU9p469XiiZQ7ENMXJ9PhN1e45faFnAh906wk1a
-ZhT8eOjLL90Hg+hlddDkZYQA9gc135xTT0G3I5cKFUW9SLurravkI4Qrc2e9
-M/1FRs2l/Y/XJg/glrSM6cE+AUR2XDiTUEXBHx1d1lDYh09/270rNxfCt4yG
-noW3KSjlduFTkXovLh2PdROWCeGLkt3GI68oeMOu/nXRvl5J3vYJm98K4e4n
-k/8E34mwnng0mpPVgzPSB4R6DiKojs2JjbhPgU2sqJOdeXS0qz/Xsl5ZBHY1
-x7RKJPPwQT3Buji0B9XPNn1yPy2Cs4Gq4l0naZBumz3r7/o+DAiFMDOJTvO8
-vjZz11Lg/sWDI66tNFwXIxprdBLBqka9j0tt6JAbcmpGADJwrWvf5e8r+BDp
-p13pIk8DpYSNFR3yvXjZgKgQd0EIZ9+/+V77mwbhXTbbVvgPooKSllcGjw/6
-8Vhx9wgFXuwPZDBOc/DG30KlT/Ic2HTW8rhRDgkeaOpJ1T/jYM76Cx4D5hww
-ddc6/mwvCZI/enqTkYt9rPKgGA02+Oa6RfWt6AJVs7C7U/8JcO48LSu8wQSD
-o/20F/7dQNV/8mJ3HQ9DPYkrPsWwgL/MpCnuaiMcOJF2mcwVooFj3byICwxg
-r7x4WcU+A38LAzp2fxKjZd/tkl2SvqHx2NX72t/XsPLBVgraSOa2+GNMaUc/
-OJnobt6WdwNlX647VRgvRmfXM78vVvRBqdB8XXFcMnZ83KDgmSfGnDhnm5UH
-+4CbKxir51ejasfZd1nXxcgw0z3ro9QHIZd1W7Yk1KPi5LcAk61iVPY4X+V8
-qQ/ijnrczW9twTUqEbanSkT4UDtLpsG6H57VDv6L0iJgg17xuHazEDtzK4Ov
-/+6HxbHqDzXqieh741zp7L8CvPN0TbFv7iDwhte3JyRSUOHx19x56Xz8MDcj
-75MUE6QO+x7pMKLhZbUc71MzeUi10/d9nDYEx9Y/ohJqaHhm90zSfiob1aZ2
-COTZbDgWt+WZrzIdO2WMj9ww5OCGxb3jiZJcvidnaq8sOaecfIjA/MNF5tzJ
-kztzh6D83PoCmWwqZs3dPe+E6hB+pMFlxSQe/DFZbrB2GQ0NW+teXGljItlv
-dEVNEQ9YCm/a/58LKVSzbL0AJr5Nfp96cicfXu/58LytlIzW0SgqvdaPf/2V
-PnlJcmHPbCX712cp6DiV3N1hz0A7w4TWJ8sFIG9aO++uIwW7t8xb+DqiB4kp
-/nspbCHUvD6wfvZlMn60eXS9+nYfmm3KWrPxuRAii+yzV96l4OHvy/YtsurF
-6g+h+QEfhDDqTPrYOUHGt8/WpU7a0/FYapn5fxYieLTVcr9wDwXbZmsHPjDr
-we0Vr7MDfwmhw9nov4hiImwzuub88QQdtzgtLSfmiKCpzUbHUoUCF2eYf47y
-pGHWRNR/M7xF8NjoipduHBEuL0va7KpBR7m43UUjtSJIZ2S6qTKp0KOSQNt8
-vAeLP3nfFCUKQdnrtbHKaTLwNJwmJ2WpmNr2O72AKQLBhEfqrxoaTAePGT/0
-GkARwz1ms5UAbvs/qxUHU6F7wVnTkjV0PKi77BxMCUE95/LsTcp0UCcyXrFL
-mJg6kccdDZH0sYdvn9sF0iBuk/3egXn9eLTF9fILFEDRIH1gaSMV/q21C5jR
-xUQzi2cK+5p4IBxN1FkhS4fnAVcP82OZqJ5aGGufygMvbl1e0F0KpN58fIzw
-gIVvX40EqEt48JGL/jfH003g8s/9QuwbId683xeQU82AjRr7spYZtsA8lZVS
-ck0CDHOcOHdyiAnSm0otC/TdoYmyuNJJkheZHA+3iJ99IByblTZxqgwWX8je
-/VqSCztfLzU78oYBL6RP0F5/z4cwnS6PzSQRikc9LinYDkLDDJv1U5R8cHDU
-XDhEFuHG+3bFSvsHIVb4YrvjySrUOfamYdxZknf7b9vUrWFAR79P2gF2A3Z8
-a1g1pS5Ghemuul+pfXAeEs8GR3egsc3RVFUNEa5iTXxzuT4AB57HTIZ3d+LD
-Z0LmTI4Qld4+/kvtGoAG9UBN/0ckPKlzkKwTL0Bi8ebEOlMGzBiOWTTeRUa/
-xVefW5fzcfmka/4nHSYANeLkjm80jJup/aD8KguZTS8LL63gQrltW17dGgqa
-5ZzRlRkYRCXvaAfyNQHIVp+yp20kY7q//8Jrj3sxTVlp+4MBIcQkn9Fzaifj
-Lb8jk2lrB7A+t31fx2whLKi7YX2lm4yu2zxVE7po+K1JLqDaXQQdB2s3zaSR
-cKtn+7o5j3pwQUnp98yNInh74EIyrqdg5oLDZVLL6UjWdJjM3SWC6c5Vrp6P
-yKjyj9PpfIaGYxMbr6tHi+Drxvgt1xdTkNRoevTzdxo6Xz3bxbQTQZZvac8L
-0wYUHv/w9qGLADvfqD2ejUPANc23PmtKBO8J+QdhP6h4YtVG1z/zxRAbfccI
-dpMhNjBctCCfgnWhnxTXT4mAnPTr8F7J/ujzrFedW6k4ffCq95kdYhjZ1LTL
-0ZUKy77TV2vl03CaV98QpymCtqlvNAcTMsR/3E7wcKDgyI2XHw/MFYPTmvTg
-a6tpYF93hpxV0YvvHSPsr24QQk93pl7FNAWE1b2ikLtU5CeSP/XeEIHSwvLX
-t+JpIFh47UCAJQPnNU1RDmTyYepX1oTLTyq0vk3+4snowQ/pjzkNktxfY/Ry
-x7/zNDg73/xa1fNBnNaTWuIrK+G1pybsgx9JsGx6XF92JQcPaL457Z/JgeRs
-Ex+nO92wWXETf34tD69c/7pSKpYFc8zU7p3cQIBivSDOqw4Omr0kL594xgHp
-zH+D25xaQWU2q0u8SoC3rrhKf5b4dlJ9Vqz0r3bQKlqn79bPw1tpcVA+lw00
-j5SUu8sLoFP2yWe/LhFSsEOQcnwQ8jhHiu6oV0Cc3fpI7R4hnshVOew8lwn0
-xbsW33AqwpszTWYaRoiQQNnnYb+UAV6uh524avWYO5p5WttShOlX9jlGTgwC
-gagbZCbdiVNT6k8uzxah9/h0kOXjAdAlGBp6LySg95YepqyuED3m5fITFzFA
-z+pyQnIXAdeP3iGfJwhQqfvi59euDPBLy7OicSlYvFmTNfqVh9ySVT7pEh9I
-/aCgtuwBDTVdS7SOFEq446iNnP/oEEzmNMfd2knDiRdl21MJXIzYaxtZOzAE
-K6UKmZbOdDzSauO74BobEwV1U4e0OGAtHT9ln0jH0yV76m1+sBEfBelwHrBh
-elmZs42qpB9SW9Tm32HiScWuXPzGg1/fniarrKAiF7aZx2YxMHH2pljzKj7M
-lD/xdFUAGR8v21rartmPPFm5/juSnpP63vRO3T8KNilvunnpGAM3acg7cP/y
-IWjBwtuz3pOwTG/z2kQSHXsuCagHL4hg84rPA4cMJT5QaN+xbqwXb5f9fXel
-XgjZlVHER+5kHNBR5vQLqLhI7yo/Ik8Esm8sLMR7SVgdPLFhpqSPyd/5qff0
-owiWPPzitotLxjlSEXXXZtCwMZSr4hIjgoVmhjkMTTJ2f1YNsjKkou6SyxQ+
-WwSYdpmYIfGHG48VVN5XUPHS8vt94W9F8Iqr4Jy1pAm1ndNU7vJ56ELnfNXz
-Y4P1Rr6aYFs5cK7JyabpCTB7zrJMm/ssmBtk2fnXiAhb+A2GS1SpGP1l38Wt
-FmIwb2/mheiSYSSBUnBCTtKXLb4talsqhvkL/I5FSkv0bpBj12ZKwaGUOW82
-3BJDr/tw8wI+Bdz+u386fi0VPWcM2VQ/EsGNlopbYZ0kGL41NVpqScZGl08j
-pY5ikM0ad2M9pgJxycORJyfpaNz2qDlZKITVzTu+fr5DgaRb/h+HfpLRtPBy
-9KVBEWiyakWBijRg7CAclBH245bbxtmkRAEs/Lp/Y7I3FaT0k3RoIhr+ml1M
-lFMQwa+SnNgtn6kwHRdhrvJEkmsNYUYqv3kQKWWtQymgwhVuy5uj1/pw5dl0
-u4bFQiifHRd37ToFLpXxba+qDaHMvUiGE4cHM229ktk5VHgSa6c5/xYTP77X
-b09U4oPI79sxvwQS2F361jHTioUxmRRHxmke5HI1Di6ProaKWWcKF5gL8fvO
-oVWhEk5vcqPrp/bVwDvREh+fLgF+m5EZbnNWwnch/1mVfShCs+V/jIQPRagm
-2/CJIdGpXcepwj33pVCpryoGlCX6PaGuZqPKhNt9OjNdBanopb6ixuuCCC3m
-BM/1DmRAzOpfilc0CnFB/tjJE6Ei5MUOcdIlOTiXsVnd9U8d9qlFVb+X6N0e
-c5TyJgfho0+c2bIH9Ti9Pb/H3FSERglPsjf9GwTKi8eVj6+3YUxA8aEnknzP
-u1PQ/eQkA96nB8ZvSSbhmWz32ZPTfHwd0HHJV5sJB3q2eM08Tca4qKvO7/7j
-4xOPS+aegUw4dtR+xqZpGkbPzXU5FczE2ea8xavzebDq4JMg1Rw6/jQwkB74
-NoRlR9WN1U9xIWlJVeeZGAp2ytvP2pU3gG380OHVEo6+PT56Nb+FhA9s9ftm
-S/ho21hoxLM1IthwLfN1704Jr8UKV2iH9OPnY87EK0uF4GQp9WePDgk3qWw3
-D7Sg4XPHDbPv00UQ8iKnojCOhMdaNQYXjdDR3cCq+5GLCKzXz95/5BcJzZb+
-nXJsoqC+0jh/m7QYwkft94aXEvFjbzqNsoWKjPyRJZrLxXCbHxR7Po6MRRv8
-Ni5iUXDdCYpPd78INkqP/G56RcLerDvLGt+SkcCOiLl6QAwR155rj18n499d
-ajd/+lDwxPqfWpt/i4Dzd3BUvKsB1fkbBrecEqBV5JqzPQ1D4KqSsvJOaTOO
-zS62TzjPxaUyGhVLZLiQFjNxU3SgHCLvw6p32gKUfX0iPiqcBXHnn12xCyoG
-cfzuxiI/IX6aPJMl38SEh2lVLB8BAQT/9ulFTJMx8nT5ob1hYpALrvjO/kQC
-t3Kbvw7SZNRacelI4gUxHOzv7f1URIBTeQ3mMaZkfFpzP6WiSAxlFTEZ9Z4U
-UHpsn9zYRsYs32f6liIR3Aqrvvv1Agnmxcx4l7GPhHxv0gfZODHMUlsi83aM
-ArIWnS3r91AxzE2b+1+wCCxs7AQt1hSY0tnv5VZIxrMGD5+6TYqg2c0paiKA
-Com77liMRPXiK9Ky+QfOCyFH91X0eiEFXH13z1q/moqFM7bYECR+Ilpr5Fax
-mQpOViCupAyilqviThljAXy79kLd46fk/DNWV87k0vHKu6WpByaFUFnb001j
-UsDlutXi2zsHMJk6O3pDowDC9j5xCzhMgTxpPi3pDRMP5Y+v5VjwwW9tLGPd
-HgI09uweZN7m4JZHde5VbA4QC/PL+BYEGKdn+GzVYGOOh5fxkbU8UHAJcKec
-/gLb005zD7zj4VJ3/9YoSzYclw/f6jDdAW97bz5tes9BN/e3M4vNueAqCBiY
-/FEHV1d2o8o8ATpIW9713ssCLfWcV1WpDbDK9erWzwweyvz16pmTxIbzDXD+
-4N16aLZ8xZgu4ePoS4vWkmwW3I132U0xeIGDbNXOOftFqDI+mBJfIOnPZv7z
-HS/kwGCdzvL0nwI8uSbU4cALic8oTv/befcFjNo//pSRK8SdJYWLct8ywSv5
-QKyGZwue/iXjcFHSH9IT5lQUbGbA8SoLokV7B95yas82lPjYg3NmzhteMYBm
-nRIKOt04qZ1bMKtUgN0/bhmkSDPBR+nOzcJgEj52DJ/efpWPFXHNiQfHmBAT
-jP8aJHm6w/rHsp9xPGxYp9T2xHYIego2CkU9NLSanxena83FqFD53Ee2LNgR
-dfH0tcU0VI9dt3xI0hO4a/3f/1RmwQOjTbs+OlHx8s/kxs/2PDyra7RuceQQ
-zKi0v/F8jI6HFid8muXIRr9lv0YWyXPgLy144vuWHqQe9exNDmKjZZD82KMW
-Nhhc3j1n6P/3Ld4raF1rzEKDNZt8Z37nwKne/SaBf2goMHp8+as/ExP2ltSR
-S3jQEtZ77kUmFRfLxtR80Wcg+06ZcsckH/TJvpzP38n4492PJ2b7+9A6wbHl
-aagQCh9GVB7xoaK51Vr20I5B/CFdYDfqLICbTOq9OYtImM2UEunfoyFN9s29
-Q19EMCtAP0t4l4yvdSxufvvUg5E2ysX/ZEUQkfgmUphIRO6lLzH3iRQ0eOjh
-pmsuBtEYP/bgHyLKnt85MGcJDWdJtTsxeSJQzeLOMr5LQmYEq1RoQcaYMr0/
-c1zFcLK+tyXMhYizI+ar2LdQkLPptZ/AWgy1xQZN543IuG/gNTM+hYwmd+Z6
-/94ghvfjM+o5W0m4RhAsE/+ThD/kevdfCpT4xop5h9gLyDhruGX+TzUyLsv0
-oqfaiYEXeXzwnHETVlu6T1c08nDl1kvMoFdsIAdFv7u3pBXF619fWy5iY3W4
-aFH2YR74/renyz+kGq4arrdLzuLiu2M3IlZs5YJp5ANtN79q8Bwnej7w4eLz
-BGviZU8ulNkvVaoPIMBtPc4Pz24Shsyda7+lSwyEj/7GD2xJsK5Byl9TQcJn
-8+x+Z6eLgWoxoUBeTYCwnAKjbD4RmS2Oe1bNGoaNigziGUsKfEg3uBf1howJ
-9s5FlRIf1ued4798QYSjuWEhRpI++3BP4qjFTzEIFZ4v2CrpM5SOG/V3PST9
-hHjRJ2KOCOYlXWS8ekUBhu4WVfJQH84OO1T10FgIhzw/7D1tToE7OQZt2leY
-KGuqaBt4lQ9zNyUtevePDFPPKhOYkrlLsBlvODNLBFW33vXVSfpD1Ovfmxin
-h/C2yv5HdRp8MFs7tKm9kwwPRvbspa5m4PrdB6dGTgtgTWNJbNDiRuh/Jje1
-JpSH3ZI6GPKbDfdeeOw+Pr8AWjvTM1dUCXDs5o1XjqwhCERidFzbG7C7ViBj
-FCrEp3+Yly4OMqE1ZSPx7osCsCo+PM7IFuCq78uGDH8NwfrzY22oTMDPoubD
-4VcE2HbGfafWNiag3muFZ1kkbCeqlX8+xUenc6W7Yv4wwT7wz+eTRSTUnRZ9
-PurMx93qTea//zFhnkdtzDE2DZdsmJmVPJOLD6wjNC+9YIHPXo+U1j46qlXk
-jxSFMfHAlgcTqd48MLanTMu86cF8h/28sHdM3LhN58ZhXR7MPbqkqjSmB2vy
-Jkb9vzHx2PUK59liLpx/O+t65G8aSuMf+mpfJmbqORv3lfFA/12Oe+JCKlLE
-92MdjvXjS0UNWfofAawizk+WS5P4jGNZepw8A/FJSdhQOx9e7Vh9PMeRjPSm
-YK7RFB0zun/V5JmI4F8tHIp+JfErn2cD66x78c0Bv/oTb4VQNbwpwiSFiJaZ
-9h8zM6jImusZ7Cnh3ATRBz+1PhLeshWLDl6n4krlpqgwloRzPz81u3yIiINJ
-equtIylYXRENtc5i6G/7cCg9gYjdZ49FN0dTcWdseW6Dhhg0FUfkNTVIuKc2
-1TouhYT7XXwU5j+T6KvIYa6XDBH/bJlx5EUIGfeOjNHWvxDDN51x/6YfJPSs
-W3JVnkvC0VupYQvPiEG9McdkVQcRg9QPzGiQIWFip86F6Aox7P+jqnG7RvJ7
-HctNO21NQvXHFhTjUDEIdk7I+QuaUamtM3rxJi7ezMgZSjDkAj2Kph+ysw2J
-zddfql9nYa3KKkrXHT54UrwVx+/UQOumGz932nIwM/laooofD/4YKl9Ue1YD
-Tyfb7BSUOWjU9ecz5vGgn+v9sdeAAAWxEaKmWCLmz5FbsEVtGD4ZF0qhHgE0
-inNnuNwg4oYFDqbfFw/DqrnTkc+DibAmWDa4JoGAZ74+PCyaOQzFJcKA7fNJ
-4MCl75bRImLvtpWOh2liCPot9bK9lgIWEeEOx35TcCtPNqDhpQiY0b+atqdQ
-4Lpv0PRXfxr2qmmtmndYBC/9Le9aTZPBb6W2iWBXDz5p19m9WE4EMOacOnCd
-DNusK/WqUgbQWYWo5DclgKrkdWMzQaLfDV4fxjL60TE5rPTLfiFE6OayFLQI
-EHtNISX58RDOerNPQdeHD6ordjRrqZKgXfvipEMwA8+3Lycl3xfAq8M69wYd
-SeD9LdDMxlYyz0lTt9JEfMjb3yObpdAJW/8s4IliOdjFSQxvPsyF6B/n82su
-dEIdeadW0CgLU28+fyNdz4PqVKIpfW8jsGOZnuFneFhlzKi7p8uBmM9KJzvv
-N8HlqPEq8xAu0mv2yqlOSnKtqVbWybIU2n/HkiOL+JhbUHnwtTYbpKg5Gk77
-PsO3iFrRGUs+qrYLzY++YEPQ0rBFG/NKQaV2vCz1FR/7nHR6z29jg6rlbdFh
-7VxU41KEl/oE6LPq2Fhx9RDEzW1Zu+l0PSr+C5NfPSrAWZm2KjryQzBn9YDb
-qHUl4j9ZB8PVQszS6nm5QXEIajyjHTavQZTbzTPN1RXicp+XVnfmDsHV9JMN
-I/YtOLqFnLFDwkdL/1k/WkNggvrDErGWSjNutv1XuI8uwHkrSW1dDCbUPCpL
-7w5swW8d9YE32wX4uLWY94nIhDHX1iNxzV3o2X4qfc4EH7ubGU9DNgzBnyVx
-h9L0qLhPPCZTpczDm5ek16aJh+DMfrcJ3jY6homcTXvLOXjSpqRcsZsFS2NX
-bB/bTsUY0vNawxk83BNvVR00OQS0vV/Tj62k4pKBceXceTxsm96RNzwyBM7h
-rp0XfXvw1JcHFqDNxq+HD0irLODAo9VRvy6O9GBV/AvzRjELj/aabL6ixQHC
-Pl+L1IW9+G9TylZ22RC+VV8xL3wZFxjvTO5Ft0v4xFLN+j6TgdN3i2QVRngw
-pWWt8ucqDa97cKeedA+g6Qmk5ZsLIK1NL0QtkIIL39wPYJZKek3mRVPvLiGY
-/lp0qNCYhl+XzPD38+5Hk/35PvVFAvhg+Hpc8IOArc+9g1afIeNH8y3sPali
-WF+0xkqQT8SuqT8TaYVEPMTlWsd2imHcbWxrZjoB55UcYlaeIGF4m5Nry4AY
-9BQ06PKvSej2XjX01yQRqVGmm9slvrSnKXPpkktEbGR/0o/XJuLOR1fba79L
-/Efj1dbyyyTcZ0vtVb1MxHi9J5/CysWwXH6yAg62orbhwiTpRDaW25vJ74jj
-gZvTjSA1Ugu2POv/+82GjTIJzhrfGDxg/MepMPOoBVs7dlieNBvft/S/HIjk
-w0Orul9nr9WCVkyD0DKNhRzrA6a+VD5obq1PzjQkQBZJ6pDuSkkfyJQ/sXv5
-MMiM2LcFqxLgae/e9q8MAo7PyPT9uHUYlh72qVSYJoLSQu0XqmICPvsgNxXB
-EsOmRapfY+Up8O1ieeLGehJ2VpwmLtokhgqriMseNUSw5Wc9GbMkoPMyD+96
-uWHYsOdwXNsvMowZPK1+uqMHw4ZRO0HSH1pl+xYatpEgPMKjp6WlF3uuWfAJ
-Q0KIMenZ2E34//3er0KtfQfR6NaGoqk5QpBfmDHvwwICbGp2yrI6NoSrHrvO
-TnrJhzSlt6LcRQSoe0tcbOMn8Z+L+7cXBEvWLdpsVd41QxWHE7ohh4MVbv7v
-1Uq5oKzcqrqythnmSvFePPPmYEI663LACBcye1ZYR92qhMUuk5TCSB7KWSb/
-Zh7nwNHl6YUDi9NR8ek22/5MAa5etbSsR4UFvGZmI+N2ETYr8MNaZglxl4zy
-DeObQ/BkV2lz2dJ41NxV4ZxzVoDPYzqEdf4s+H7cxu+dTyUe+XBep0TiA8NN
-fVrnJHo/LWq6srC6A58aUSM6DgvwUPVRcdk0E8QvDq0aX0DAE8oxz92T+Lg3
-WTWY6DwE5fdX13sbEfGfEnuLohEfTwcdatZ9PgRFw0kNRpM07Jtx7FIKgYOJ
-/6wzN7azoLMpe1lSdg8G7RIennWJiRGn89pKDvLA0OWRfMFnOq7ZPfbfaw8G
-lu+jZsTv5sPW99Eht9qoGOA6thWNJBwan/utw10IFpFLvM2i6Xj3zLMPKQUD
-ODx9orZOSgDBj3Yafauj4s3xZq8zir2YORn8askNyX7dutVqOyj4s/nQx6MT
-dDSno8ZJRRGkbDpUadJKwmWEvVHal6n473ijXyxfBB9HbMNLkgmS/Yt9AveT
-8K7KDm7TkBi6R3Ye++5NxIeb95QukuTarjludRvMxLD5fsKxCweJWLpt7ON/
-RAJej3jyJEiSj9tr3CI+7iFgwV4VjYQDRAy1S7h5VWsYknm/Z+4xJ2GBWOu9
-MpuAUxxbv0y6GIaIL08QVYlofPBXw68WArb57noXrTwMM5NuxzyYRcLxuTM9
-ZHcQcHWYqvbbaTE4626Uk81rQ/tZR2y3q7Pwh0LrxKwKPjz4+DS7WesLLtWq
-PhWewcC3GPTmrJMQQpbd8zbRqYNdOwOXPM4cwqrhHdLzHwtgjCBryIuoA2rc
-7JLDkrm1eznHqSFbAOzv7jbTGd1wTm6VSuN0N77a8d4t49Iw7OOJHr192A0X
-bH7npH3qxmfvH5zbc3sYTh5IOHcxjwiPzWnWZYsI+Or7m7NxKsNAO0mWXn+N
-CKqFx69k3OnGzz+J1xwkui6WMQ9/60sEztzDM/NT+nGBcWXIhXQhBGyt9k/3
-7oQXXWXMs4tY6GseecjMmw+O+wY31LV2w0eKvUn3KwbaLntduqNPANdinxQb
-Le8ElrrbgQ+uQ6gn/j5tK5kHnPnBh36mBUIMniwofc5C1dBtl4uC+DD80cP0
-4qoW4K42vKJjxUbTPRG9l0Z5MEk9om2yuQrCap4+uHSKh7zi+5/cIzggX+1s
-TJ5TDV+k468Iz3NxxkD1+Mh9Lqy5stnAs/MmJgb2qy5SFqBz9BtzQw4LbLNe
-71lfGgvuUcrX887wUd3jXXJeGRu0z3XPe15Bwgv19i1zs3n44fa5bUcZQ7BM
-UHPkdgoFLx+5f1img4saYU47Cs+zYMT3eMZ7Nzru3HNylu4DDr6MePwwRkqS
-+4nLaPNHe3BPWZUUS8jC9M1bM7K1OXB5M6PyzgUJr4Y3WT2NZaNq0/TjM+/Y
-0MJyv68S3ItnFzQ2KCczcQPu8TjC5cKZydUpp2b3oRF7gg4qQzhVvevtZhcu
-uFluIZnF9eKcNRvspjcwsXyiq/rjZh54Tf4L+VbUg62/ZvwXQB1E16SQHD0n
-Pvy8Of8OYycdV7MeLkpW6MNPeG/ZCpoArLTdjv//PjqSlCldh9yDD8OvnZwR
-JoR7sk13vCS6OJk53kneT8SqopkBLyS6WC5q2sj5ScDODuaBxIcE3GH3O8h7
-6TDcuxr8dqaEG403MAlX/3QjDEntCJw3DFm6TPv8cgJmOd1ILfz/PY4M0pYc
-GAZ75Z9zPtcRcajC+koypRtl1NQb7y8aBnOd+bbrl31BxzmPyi8bM1HnzhNl
-c0mffHYm60eiXDuabN5X9OgPAxfsmtH/yVAIT497roq/WwNeVc2nrxBYqKQl
-l/lVoi+NrRlcg7W18FDzR27QzyG8l0gr1z8lAL85aaP+x7sh0OR4XenubgwO
-2yHWihmGQLUw3KncDT435ye7N3Sh62BDvVzuMFxsNcNdZ4jQbjhjRrpjN/Kz
-ayvGzIaBlWb54xqdCL6ykdtm/+tGtfFZDc+VhsG5/n3e3nMU8HJ+ujmwjIor
-dDXv+oaL4Kbdj5drgrqhxblt4k/2IFpXHiT//77WeB2VhoLlHVB9r9NmoRUT
-J76qp63vFUDBkvCNWVkdkOD6V5j6k4l5I6IrCkcFMExZnK5TXg03prKTByI4
-mDI/8er6AzwI+HtxNNi6Bi5+f7W4agYHN/7IM/xZxQO91bMpjk9eQEut55Nl
-W/ho/UJdgy9kw0RfM8lx+h3klexslHbkYcirti+XejnQQNpPdHAqw6DNSsF7
-rCTcSjC86SvptwHVcls8l7Xi/WihoawLH/2e6od3ZklySi3h/oUl9bgrOfxY
-QDofvSorbH82s8DOcMfH3yNNeGL6Uo9doCSPFM7/PfuRBY/dbhgYy3eiDWPn
-5w3GfHz0YNhG3oMFIe5G122629Ao8YhqsSMfGVcUVpjEsQAurjrZ+rATA+U3
-KMet4aNLi1Ho36ssuN+mv+eKPAk/fZqzbGgJD6VCVmdElbHAIcTL3GwfFZcn
-pRTGB3KRElM0OvyEBeVTKdvUftDQnaJw68I9Dm7QWrG/fDkbvm/PvatypRdB
-KBfuHMnCAdqjIV1bDqQ6rpY3yOvFzfqLnau3szDv2DIr7WAOHFxz2j6+sBeJ
-Dl8WBSkxkF831VH3gwepH/5da0/sxYu6tmuvjzDwGuFB0UkXHmSmdjdGpvTg
-vpgnM/bG9WO2urs1RVEAXnVeydvTCBjVeonwq6IbS3ee51JsJHkUcr3Q9xkR
-nVqtNLo9u1Hw0WzbkU3DMHtzo+HH/m5cP3P1cetEAjrkLa+xth4GQVSO93lP
-It7XCfpvr2Y3drod4M6xHAZOvN/s/+624Xk6qbyjnonnD3upDxcLoE5hZy+b
-14437fdPVpwZxIHWRd72o0JYH5oWeaKxFs7djJ14ZzSEC6lSwQNDAhiqdrk4
-YlsHfTV0X1YEE7/5ZdbGOwjh1elnu4+1d4HtSMOSlwu68NHxoruLu4Zhy9RT
-Iw9OF/Q+2Uf3PN6Fu1r/yinWDcOadwYreshE6HUnBZnJSHJnS0ZCpEQv5w4d
-sDQNp0C4+4NLo8MUPHmzhhKVLQLKYsVs8hQZ+gQX/m15RMJ087TzP83FoCW8
-HbWsnQhH1tWSNrC6cZbP4CYD9WF4Y5xWecGRApvOZ5z3r6aib8HGXRJ0hmCT
-jJHteylw1q3MxEBIxuk9yedNh0Xgv/1V+DxDClwerF+86gsF12i86iioE8F8
-ulJiVA4JiueF+AscenFn8cfZGbNEcMixRcfnMBmIaf7Rsgl03C8VuHaugwg6
-1csM+xNI4FRYMzvOthd9pUaPFiiIwE7xfMglKyI8qR7WaBT34YsXFuarB4Sw
-P9o4Y6foC9z7UDrdkcTAYpu1FDtbIWxecSRwhnsLNGxb+WaTDwunp+OX5SXy
-4V3C5kGhTAvI8/tjv+yX5OYPmta6ewLQvvVyeXBPJmj+6Tn8WMJl61pJEa5L
-uTBifaqsLyEPDHPyL03v5SLrVUmYJosLuzLr/aRoxZjh+VnaSpeP/n6meg1k
-NpgZFty+r4pYkoxTeiF8bC6oe6dpyAaPDz9e3XAswq+vGzaWfuOhdvuai4bq
-HDB85+u34E49buUWltW+4yPMMzixsZoF7KWDMn+3ElC+SFP24HseBtYq5GU8
-lPBg0/j060ES5naC15Z+Lj7ecbPoYQcLNshdOD4dSMa/Bn2qha8leX2StMlP
-yALlVveC8lQ6lvhk2aSocfDgrPokhbNscJkXne2S14NJb55NvpX0AfWuS0P3
-aWwQmHhfcTPvw8bv+s0qmUz8Q86i+aVzIWk9kORi+nCXYF7HiXxJXw1vqPpj
-yYMgverM3/RejE83EKw1HUBHwsEVH8P4EKMlITdTOhosj44K/N6L7nd2T5wb
-FABd6ezVenkKuiwxiwx8KuHdRy/YqzaKYKLlbYjrSxJGbogJEE9QkW9eIHeO
-KILTtF+h94jdeEjafv4Mib6XUjIqb0h0Wuk7v7lqJwGNW49PB5kTMefM0bVn
-JbnJo+HWjZLeKbdo5WS1MwUHqmMEi13FsLR7wUixRNdx/FlvYKgLL26NDd0t
-8YcEjmVRTX03Hv6Z+97tGgGPFtlHFjoMQ+Pqxmv79hJR40fwYFBMFx7VbzHa
-d3oY3O4fe/ozqB37Pbw2LbdhoE5ngf/wCyGI9pu6Kz3/gr6nlt6i2PZjf9+6
-J2xfEXgkupvUtNWBapde5/NhBqp/3RjtXySE3eyBmAWm9bCjW+uy/1kGBn4N
-DiqbKYIzetmV8vrdkJfKZBCedWHHMw2idOEwoP4Le3X5bmhw4+s32nThCuVY
-bRoOwxf7vKcnc8kQk2dy4ep7Itad3aZgf1MM95Q/BByqJcJxh+JXvo3d6Ll4
-nchI0je0mCMv98hSQP7mb5OceWS0ulg+HaQvhqLSCi8/FzKcPSdwWdhPQFPF
-ThC9FQNSad2+pUSY98JYpfhDN77Lr9/csWwYrJZh4eceMmxefejLaBMFQ9ME
-Z5UoIrBSU1rrWkeGOUEX16YcJqElo1Am1EEMB3ZQTi1XJINDUpjf1ec0tDJu
-eb4gSQRnLxSUGb8iw/K70kOecym4MzTGMn22GC7P0Fed/5MIKmR0/RfXg5mb
-5/rsOCqCkoKIXKSQ4N2crVM9/VQ85mfzOPeLCLZvcWReXEUEJ78qYvFgH+6c
-4xBlxBOCj6ZFnm0DEdbNd9y/uZ6ObZtjbSj/Sfa/aSlISiKAgen7RatW9qFD
-xtFSZ8kcblifkqWytRv8nAN/J28bxN+Hs54pPhMCKVan3mVDLax7q3o1bIKF
-FLXzxfEJfNhgvPjF2FgNzNPa+9P6PQtXWCTvsqLz4UjrzoHtPwpgckFAy+0U
-Dn5OL1kT4M8DDnG5H2ugEJxupXq+mWBjoNY6wyJlPvTMoRNmby+EhdFr825b
-cNBP/tO90Q4eROe3zOiUysYzi2z19wfysKC54oVdJgdMPIz2pL9NxQXLfBat
-/sXFbu/Kmb1mXGh41+gV6kPFP7jryXMqB/uUfyjOMGXD0pz/7tYV0NBEZz08
-3sZBn9aJz0vC2ZBrJ9Nyp6wXL4RELHzjLel7zw/aHjzIAdtH/Z+elfQhNc91
-5wI2E+Uc3J9W2nLh4RalBceM+zDhk1qDNH8IR+YNrxxO5sDwss8Es2lJvtOi
-/7qtYKHdC9mvQ7c5YHaq/PCCL314Ia+4I7GQibx4s/peLy4sm78q066mD7/a
-z4qLbB3Eqs1KPb9qeaCRuOyHY1UfPtO0pSWwB/HlneZdBuU8kL7Rcd1P4icD
-C59uFYz2YqTz+sQbDAFY2rgR9JJ68I2W/McPl/px3w4645y2AC6U/BB1eFOR
-W8nzs5+i4+RyNIhqE8JDVa2iNHk6xt76eg9oPUibO+teyDYhlGzWPLq6k4xb
-7mVFxTjS0DzF5cdYsAgyNi4JUNov6T9bj+xPk5jLeOTku0cLRFC79eb2kmMk
-PNAgf9B5iIJBmgV+/ovEcCZvKe1zEhk9u7SXul6jYvtI+6UTKAJ+pF4ydRYR
-2y+bW7a6klEp6PnzZ8liWNcnrcFeRMKUq/b9NTMpWFervCDNTgxK9UqvxcXd
-qMz/emXQgoDf8w1uKJ4ahujFN9eW1RHQKaScdeM/CR87U90VusQQvSx+POk3
-AQ9L094HKnShjVVl+8+AYfh57LhAL6Mb9wdZ5TElfEpQUnN8fWEYSgIyXgz1
-ErBiTKombWYXqi9/WtL7YBiGe59P3t79BdVa17ntsR5Ay3l7Azy3i+Bfhp4/
-wa8Zs0wgyDOJjgtzb718kCuGypSotLzUejj/QFS1q2YQV/0Lqe60EYHK11Z7
-Jr8F0GX2e0MzBtYafrG3+CIE7bWei/yHu+D3xpynTvJdGP5b6cHX9mFw+eJg
-sVq3G76aOEX62nchZe+8w7fKh+H+PZN9c9XJsFB6kxF3OQFdenRNI7rFsPAM
-A/NziXAx9GT+8+fdWEA4fue7wTBkHs8Vl9aRYIQvffPQVwJakdXclKvF4G5R
-6nI9XbJfO6O3J1fC47Z02z79YVghRz9lHkIGb83dlIf5RFx7JbGGf0cMd7o8
-43iuZGC9M4uKvklGe23dV4kbxDC0Sr0SZclwLI1wSW4jCeM0UPXCXTHwwrtF
-xRkkkBbULP19hIr+Kz0PbhqX+P/KbnJFMwnYWcdMXjWSsXR+4LCFmRgiTP7s
-cHlFBJnm6Be3jemYsM9Re8VnETDX/tf9fh0JsHHWY9NgKm4d1B79808ExlIP
-vAuvEkB3z772Nq9e/BqbIst3E8EB9StP9CyIkP0t0OrYfjr+Oc5xV24UQbpy
-L4xPdoGqi+zqxqUDeKOWplw+LOHQy+LKHTMI8LZ870+82ItGgxt1PviL4FaC
-RjS7+wusXXdj5QN3Bu54U0GheEv8c+ok09O1C76azTW+96sfjXbHy3AURdC1
-fzx+WqkZNqw4vuthBRNTFXcWHf8mALKWfkI7pR2iv13a7LOTgW2+g5MmSULg
-8PNSNgqaYGAdobc3n4nNN9j6T/4I4Mqcn+d/Xq8Bta8N5tKHWNh02febxXIB
-JKd6+e8eL4TvO3eVG5ewMVR/NkdzHx+av29czDN9id97LVmBJVyknvy43zSM
-C4UBWx7OjHuGzbfoztePcDG054l8CJ8Ll35dsubepOPntn8i8y9sLHo0EFT7
-iQ3Uqe0qBxR7kB+lkGLsysZ4y4a2oFE2iKS2ls++14e1jgcyZz0aQs9ik6J7
-NA7kS4XLr53oQ/PjRl9nmDOxNfbVb6NKLuQrfHxRKfExZ7Nb+yzrBzHqABiN
-1/NA57+tjoW9vXi85BPXXHMAq/V3mTs95QPpguje68c9Es68lvRMug/XCODH
-vzAB/HGML5/u7sWW8usPNYP6Ue5IXJd5LR+eaX/P6RimYUt42ZEGFh1/M8uN
-rP2F4Kgz49m1mz048qfRduJNL8Y+HJyCDAGcmuvVtH+FhJOjjHvfradh51aX
-VRV7RLAqlO/nyKBh7+OH/tVv6UhVXrwoNEoIqtNs3sD/33szsTboqqfgfy5N
-JkSRCJazZWW1dKnotDLFjixPw8ztkTB5SASeO2aPvh4k4tFtZQ4B9mRcGnbP
-TF0y/8NBcxM9zpDR66p2ze9yCho7W/87PyoCNtHh7f0HBOy7Oziwsp+IB9Nh
-3d5fYrj/1+Ax4zMR53iH9xZeJqPtfNa9kUAxeMyvMun80Y2y/22SPin5HAtb
-dcwkfS/ZxKH3wf8oOu94rv8gjkup0KClUJKZKJFKwylaVlnJSEYZZZcdySYZ
-2XuWQvZIxtl7r6+99/h+iUoafp/fv8/HPe59n3vf+3V3/vANa8fJGyzHVtfa
-Cb3acs7WeAnyvAzKyGqErml/lQvk6MK+JsctT9cWoc7M/RNNYQfWZlmYZZq0
-YlvB6YD5d8R7vzz7M+5pOzK+jxi5JdiJYfxpIc+uL8H+A6GZ6Y7tuDE6my56
-sANFPbaNaBstgfgdNUWfux245TKXa8GZNlzrF+8/G7gEQ8yGdsbDzbgllur7
-LVNi3qBy4Sr+/L/O33n0ocQSm+JUtw1vUpAuh2S9fVALRvg2apldxpB5Y2f0
-ZO08ftwxu8fL0g3sqdk2prVyQbCGs6K2l4Lk8ToDi52fQRAcaJWssvGDr237
-h3kKauu0F2TXa8Gqim3o765yEIzQS3dNo6C1krQuo1AMRFUuZ3JSXuDjJf/O
-EeLcOYmdWgKvtEHQhFHRQ88FqNu8NJ4R3GHmxQVxbwfQLhM6e3hLBLpRTuH9
-vxS8cLCAsalUG2IvMnPEJhYR+xiDenkLBalvU0t1h7+DBUehWV8WXTxaXHPh
-O+FHcToxuHK7DpT8Etmim+eNF6752Nwm+KO7Y4bnLuiAqu3qF5q2L6Cgq/TU
-gfiu6At1cTFrvpCj0Hn8xhtlfFZ+dWKdsHfmCjV2e6oDaBPoIv7JGg8edHDq
-IXh0AZP2VYPHwKZE36JimIqahSgUvUrBur5PvsluXuCnft9Q1ssWxQVfnq4l
-7OvCTbLbdphBpbbI1uGvTpinE+b0ieB+etFeT6+bQf13u1520j10Pxr65wfB
-3+wxCZZ11INgg0yHKnp7nAx3smgg+OmXA4uyj/Vgpdz4ksTsDTRnTGv/SXD9
-nKhtry7owVSkjLU2dSLam9+cld2g4J73gkysc8/AC6LOH4rQxryBup1zhH2G
-mPaE1Q5ziHp/pn/4SSqwum+V5F2joMbsoxSfqhcwOdKH+uACA2d0RDwI+z+M
-RjZTlyzht3OF0L4Jb9z8VdN0heBPGQYhy8gELjYITNduSUQ/kkygBHHuxCDf
-l3Nsz4HblV7gtWUSzvWpUWv+oqBbO9eOI2efw+lP5Qel6M9jeFNX2f/3JbU8
-X5BpaQjDK1NbxU8lQUWK9TQfYa+jHsJ+mcYdbjS/m7F/b4XzIS8VHhD2233n
-ll5KecDjXaUCMd6R+GbgSojbHwqWv6Pl8Vl1h7cie1PLLUKQcmRv2pZ/RN3q
-PT7Mz/UYkqxL3a8PWONxD37qRsLPRUaT/NksM0ibNs1pfv4aLL87PBQi+HUX
-vbsb5e7AL5ZpHq6kh3XP6zPDCK5uHck19sYF5mm5C7pmxLH7yIzrJMFnGqPF
-MgZfgGjd89cN65kwXMDoNrREQZGtO6+QDCyBvOvHop+QAbDSGdwqIexv6ozW
-pKk6Qtifwwtc+mng9MrjKhdRP6/fdS7F3n0FZ2NmHk88SoA9z4d5woh8uqFB
-g9+yFdAUfHB2PRuAu87b+KUQ32Wztfl6J6M9nPLIHAhVjoKO8ytNkUQexN5n
-a33lcoJdMSQtdY9c+HRR+iPbFAXZPhZZeFq7A9PpY5s09eUQmFEmdTCTgiRR
-zqFsIzfYIxsX0fzXCK8tnGD4P85f43c2Dqs4QOX0tvRAg2ioD4v9Lkz4p67/
-9nBvhiskdnpyJ0u/wREjs6huIp7sWe1t+wTcQL+9YSYxNwurPXk/71ukoJUW
-WxVv62u4V3h2gbniBLp0zEq/JvzHd3LkxDu7g+ej+I2kO14ARt4P3hN+IqQv
-5GwovYFxJi8ZAb0cFI0jP5GdpSCXeLBAqrANdN38GkPXlYlLnya52cgUlOVr
-7JD2sQWGkbGqoPmXSK8Zt1FF+NdQpl6ian4MjhmvvBJKw+C2Fg2DEaEn5SXO
-tjuD7IHCTd/tfL0ctjKpvNybR8G+VQXGHDkrQDfuCXbhCDjrMKo4S3wvOsUe
-GXByBYufsieN1Qohscz16wcSBfOWf0rcf2sOeT5jf35lF0OLbExAeSMFg9kS
-6h7VeYJrnsieAY9sTHr3MPISoZMZJxJORXxzgucLgi+oSfFw4pUwrRNR536Q
-c/xGeSAwne0q4zcowVv/eK8q1VPQx2LN9+pVN7B4IV7rw5eIPl7PMwWJelhS
-uKjknmkGB4VVRUxHEyBNjrHtLuHnzh6XxoR5fyjjpNjHEfc7LpCrBOkUVKAT
-VTz2KxRYJzq4Cukq4D7Dhd9NqRSUJ/k+4iwKg88/jQWgsQt1LpwX3C9BxsZ1
-Xl0MdoPf2zhvcdiMY9LvO1Nf2efx1TuHIHhlBlfqQr60u2cAU0Zp8qkKCip/
-1BU8xF0Elw+yPZqL68b53xq+IixkrKSY2hTvjgCbkH91dndHMTzJ+pWGxwLy
-h6o2ZcZ5wAz/gpJi7igeqVLpW5BaQI+fXG9FdF5Da51AA2f4JTi9bPryf92j
-Ct1cLTnvAGF2tUrJPUk4WNTzY36dgk8uTdioq70GEzXxlfM6nLDlslhPB2Ef
-9bHYNHXEDrR/QwNdfxQyBzZuCSDu8ZxOL9NlMXu4olayt4X1CYYuRHe2E/Ym
-LldzFult4UnyJTYJFkHU1L3f/z+/8UK6TJfHHoIXi6pi819j0LEGA1eCh9Ls
-nlYZtQM9Qan3bw6fA0mdrsn/z7Vf+Xm1pNsO8txp1bIFLsDKzxOl9QQPlGuq
-9zd2gLNHLAf4urmAQy72SAXB9zeVXXCzegWi7lVHE80v4raQ/mfv/u+DF8tO
-rC+4girvZYuf60nQr8GgkEp8r+ipE7XcxL2kRQhEGn14DLWTR4wHiffS7qtS
-9G3UH3jOfi7b13oN7G4f8vtM8Dg/U9ZLuu/gy8VGtxvBZmjg7VniSfiXyErG
-zHOuMFfR2NvrKoVnaFiM/u+PPLFHGv/Sv4E/dCKhwqJa2Eq1cqLz/37x6SZb
-h6ctrCm+2zdY7oonqvjrGgn/72ZP3LOQ94HxFMb9z7fGg1C+0T++3xScNP8j
-Jlr+GuzGx/P1dILxWOzayVTi3V2uc2XViPGAMwN8/Zk0IVjYbPHTh+Ds/86s
-P+jygFzzDyIjpUJ4Wi3u9xHi3LDhnYMOir5weX1qRO6+HPxNO39ajeAT1FWS
-uzK8YMlZzvOuhwZSc2ZwiBL8Ss54/eavNzC1Q2NRZMoQy8KOK/sTcdLF6njT
-T7+DA9r241StStg1a6vfTdh/O58WfjTYFs6uhtHcz/4MCvmv1Z9SiPw45pi+
-KogAivvA1NBkHc5+t9WQ0aJg15GH4xnZUVCWJMO56dKFjHS1X3bIkbHCUS9Y
-lTMIzlKx3psjZ+KNScctKwMUNDicMeewmQnrzdyHoj+5YObn2s6A/+MxEnns
-/NQflp0kJ9xNZIl5J0Dn/76WRS3RV9/pBap+kwxqy7LQ6pRy0ozg9J9SH+XN
-eUBn7zbB/C0ZQKt/lslwmcinGEuoab0HmB94ovCtUwa2C1g+sCDsj7qcpeIv
-9oBDnyeudUcaYTL32uFrBGe6tkNhLdMbxDrJS6RMaxTnPDZwnuDTrwNKq6u9
-gIt0VbG9Uhqcvr1s/b8Pev3OELIO8wGOW7rLUnlyMBWqc/oGwZm/23J9lnwD
-dIp87UzywsDxtvyQJ/FdTdZy9NE6gUCnTib9YciBEoGF/ghCt42+CMgpxXlB
-5fvVzLRSCbia0R32h3iPf98FeFVXRoLxaTfaTZIHXJL8Wc1C1IMysyzn7hdh
-sAv1500Nc8B8YuFgzQyRzyBb8vFgL/B2c1j/9z0AYe6GXDth73hiq8FcoS9Q
-nmSmybPch+7OMMujRDzzhfUX6ReDQc/n9NGJnGAsFAuSRuJcrr0+TSFbA0GI
-j6poR24wTt7xuFVFcAMH58aqsXcgZvox+pqEAwp+oMjeIPxkDG/XXC0MhPip
-uanoVhXoZb05+ITg1Xe3Kl0QCoLAvVnfor754dTrU0cUiXj2rHygvfg1CL7V
-Wxxxqm3Flyn4d+UXGbWXh4wU/RKgSyZGoyY4HYHdxfjvJAVrde8++86aBgWu
-eY1C2SF46ShVedMIBfOtZFBxLQ8eP7w4LKz8FE03enYpEefeqCqqOmoUBKvv
-BY/w7coBxuBwiw9Enr172Z3IMcQ9Nv7mtu9/ACfpXga/I+xHIvgkJXYHgmSk
-4JjkZRdYqfpWe5HgSmJh6/b0gUDN7HF+1kcdnt+OlQkmOBbweEn8fAfyd87F
-6l28DymQ2qVM8B/7vxWHhAWBP5PbofFWbZy5TSV7neCl+85JcPwLAoq1rKns
-sgqMsH/ZeZngeeerBdMuBUN37qPuxc/+WHX0GEsYkedNhwOdmRphQBuzm1ev
-SxP+nJV+uEjoRqSV+kERtjg4G/zvYyrTQ2BRUHBlJ+xjmUx2GzyNhX8qb8+c
-v/AQ1jgLJcMI/wfGlpkzRt+BitHnzSdyCiD68NG9TMLeL8hhfflQNPB+Oubn
-+kUHHN0F004Q9yL6qvPjyq8IeEeh/fu6MQDnVFweLxDn3pkeS6omOOuuYL+t
-hloQ73yGvonwY9VxWGLDNwrmM3S0XxRZAr+K7oYDwatiO3yCraOh7fke3yBj
-HUiNl3hoQHD63VvV6a/EwMmBKzvDn4bDDyaeedICBYtIp56s1GVCg3DW32Sh
-t/h+KWpNirh3qs2Pw0MFufDvgMatw16hOFFg4V6TQUGKpveAaFw5TK0fWrC2
-foHypUiXRvjvOLjyu6goCtwS7r6Yjj8BLnRXTkcSeQj7kR6sP/EO1q3UDfMM
-nOFkTcqJWsJeFgcODwhHwmJMnLeuqQ9iIX3e//NbuVdTmTZGwjM/2oOvnR4B
-t560VxHBBU1bWnf2R0GAm3z0vTpztDNTNfUi+JNdfw6LmEXDK3OWEwkcxtB7
-SyZZk+B6tm33TCRigPMca9IdTztUvMWu857gIdNWWSSvKABv9pDLsrqQrpA7
-ykrMJ/pi2mEf1pJAeG6efmNNDa57ng83JfiZZlG7INskkBKSGmLbpwN26283
-jxD3NX8gI+grZyR0j2VSMeyRhPy93If+/72zfyG6X8NFEuFMtqHS2hEfqDU+
-nHaD4IaFA2c/tsRDLttO+SGFJ7B0fTRek+BfuR30i8kJQHWStFUm/hUypWQx
-zhHnnsgObXC+nwhn9zzI5d/5U4zi7sTdTvDSHuFd7hOJMFCiO8fBao1L23Jy
-ehqIuYI/umz4QAkoj+gzhEMIViqr7pHxIubqLuEecc9q2HFboWsk4jXScdD5
-sRDn3mLK6meYSwAaPp+IK1rX4SLHwdCjxHeJ3/+7LMMXCVs726bf5kZjlP+3
-14Y/KZhUGRLrzZ4Apaf//eI/+gTMz11UNST8SG85bd0zmABFep5rf41toE5H
-b+8GEef26bEWzseJMKggcIxH8wXwnFPvLSJ487Mqnj2DiaB0k9vPTtMGLQfk
-RP//XbktW4Z9TdcSwG9v0qenxjfB33e27yTBP942jqdXSIQI6/MDuz304OOi
-7srN78QewaV9+Tl3CsxpbX8Uel8P6baqHp4g+MtBCuXX40+wTi1/7ViCIfTE
-10/wEn4grC/SSCIRlm7ohJBJevBvoC/77A8KXuvcY99J9QmCRm81SIi6gYkD
-FTmR4O1MtyILxpOBxPutp0rlDZ7dJhO4l+AG7zRuzEl+BF/ebf7bNvXBmkGJ
-5hHBVQ0GOb2qP8Lf/Ty5LCOWyNV+LGmTiMfSe5F/nPMTcCUrzdj6+KKt+JM7
-9v/IOOiYOVtZ1woZEqslX0954KXo6LVOPwrOmhkwK++thmNk+T9BZVEYPevn
-7ihLwTThlJQKpQZ4+0o/5tQHGfj0I/PO//n5PXau2IrIj+f7yXby0Xeo1/ah
-fIY4t+z7usebkmQ4P/FGTyLxKeTyKEqeIO6Rnrm+4l15MnRnfxHMsX6O41vu
-Npwj4j/w2491dfYjPBrMaC+seIXjr1v1ggk/laSpa/tff4K1EsbUm6wK4Pvx
-1gcLwt5R58ET3vyP8LKOQ+8KWqK6Q1fFb6Lvswi7G20fTgfavCKDCwFPwcZf
-44brCgXfF/1Q2KqbDhcevjqoI2EII5+ja//340UysStM+QiJzn02PxoMoJ90
-/5s44Wch1ZJFKCsDBDzPD14Ufw3PjMbYab5RcPfPAweOhnwG98bBeAkfR2xe
-ovfVIfw7ydhvT1RKB/4Smw6uTSf8Nc0OoYSf5/2HKoOOZIDwadK1oSh/LFqg
-1MrTUPDwnUKOCLVWMKAJtZrv8kZSwBGq284UzAkWPet/swauXfvJP74RhUqX
-vpsGbZIxLWqY+2ZAK7y5mrf3abgSfJhyszcn4o8J20d3uuAjMHOxu59xcUZR
-6/KKViKejtoTcfqVn0Ff4ZCKy9ZncPmUsGcKwQV4uv2lLqXD8oNbhxIXniOt
-NkMRG8H3l5TxpJakwyMVeneXffJYJMPEY0vsZTpJ6GfyJhuWhv2rZR8oAVtj
-12VhIg98o8wDm//PhWVBD6TnDeFlOFv9wBwFT26NvJrekA2Khq1VKnZPYDed
-YoUIYW9sXrkpnvIZgrVoLvdcccHqZP9fsYR/MacMy3WFbBhtCtpd9dUFNtO0
-s+iJvnDyPmtcPns2zDTtvlnOY4b75g4hHWHPdznE4XxuNpSbV6mlvTLD0MFB
-pmMEv8ZdzZicmg3248scHVsDkWrf5OWrp8ko92Ss8frVbmIf53i6YzoaZdI/
-/G5OI2Pk4Msbp9g74MMciVl+y1uk2aFT3034eZfKeshpRzYIKmhdNWszBvKg
-vUoaEc+OlTsTWZtZ0HtZUfLe72ewv855U5Wwp+Z7WEYXlA1bjUIuHCh6BpO1
-ETsejlPQ9iabBGdJHqx389qWiSrCx7cHpg8T9nbp2ju8iPhf15w1Mwyzx0aL
-neoRhL2L7RYHi/A8sBhxjvuQpg93vove5CHsb1K/EJUkvst9fn//uVhHSCq/
-GV1H2Ce9nH15zTUP3l+kCU9keAqn8r9XjY5RUCqJx23HQh7AY4kqfd6XaOOW
-nhNO8KW31zff/8iDU0GlDBIlgbiNduWolDYZ5e+8PijE2AWCdhkdos/icdjR
-M+LxdTI+eqP/rD63CzIfW7YrHbkPTsPGpP/j303WcNQg4u/WmxzJ5rZBqyuB
-QT8I/788n2Ul9uXB6fDuv7/HTbA70dNda5SCGoNu4W7P8+HqaFMG3/F7UB1B
-rT9CcO0FE0lp6Xy4tuNSbcl3eeAMY836n9tsmKow/885ZlTWMl7B+wuB4d4k
-Iv4hh3IP5UIQEry9R/6fFrx1Y8A/hL1WEIR4QT5cz33BzlvhhFRuNZt8hP3O
-h8LfecwLYZdFdcpTjpdgmj718RzBT22Vkv3wohBynJ6VH9kjh6P5SuPlPUS/
-vqRsE51cCGXeY3TLW4Kx137lxR0mMs56eY/yFXeDbfzrezFVr5A57XUxbS8F
-Wc0sm9UECoHV6fA/fHIdxE/8ZejrJOb24kL6Ge+v8N7Pgfu4+3X4c+ZA8CjB
-XfiON733/Ap6ZmOaEsxWYGnMlX+b6JvMOyU91a6UwJbta3v1DdWBW9doB0MX
-BXlzynVibL+CTkNUY81tMbi6IpxBIvx8inulqPrmK4T0f5WLfeyEQlJtt8UI
-P43L5yd4REqA2vVNy3dCN97w/4nLl1pCgapm3sO5feD0wI0y5hWPkbvDqQK+
-LWHLY0ffOfMe6H+c4SdwxhBTKFbbA+uJPch8hOnM8xIAsfJi81EXpJso3CdZ
-SOwdA5fmqEvKgGEy3XjC/jkILvw2tCb4DM19ySksA/riHM5HL0TBYKRJaqqG
-6KcXGK/785dCr+tDmvvq57Eu2fh+LMFvaHIv/xQrhc4DNiEJaI5RD872aH8h
-5mGuSjaWsTL4ll8fE+ETgGEeubG/xxbxeNRez3GPAVCcS7i4aJeAcu0iHtZB
-ixj0hVdzNWsQXBxV49kau0E+cOvwn9UFvMxUNVd/vQfO7TBXD/vSAyQyWSZ5
-9wJmiFBxT3j1QdK42dYUxh548bbVnL1zAYnGOcMX3wM7rNoVCzK64bpEc7b9
-3wU8x7/2pEGgBzLvT1GDUxccy7kla+i6iJlnlvpq/LqAcjRPyfpdJygLO6dQ
-RhYRX34ZLjTrhGlVg8mU050wZ2p93VdoCW+//3IpprsdnOJz1eewHV6ZbM1u
-8FrCJrp6QcM97bD3Lpvy0Ld20G/OK9odu4RaEnblZeJt4C1csTfQoB0cjlw4
-V1u2hJZbdcRuYSs4xm0rbOFph57jl8VLu5fQ9K27e8TeVjBWidM/rNkGoR2B
-yc92kvH6+Lm5/M/NMHmOd35ySyvkh09f4hcho2zYfY30z00gdlh/lW9nCxxP
-Pln2W4GMZIX8BqbiRvgiXfrgFl0TfN3O4GXnRMbjopov36U3gEwqHauE5X3k
-epAv8C+Lgum8rMsMseVwwUSVhX1IBV827PFnyCb6b0mtynpUOWw50iXAqC6F
-A69yfxsRfMPhxOWSd+Xw2DJmTEJbCa+aO+9oIfxsZtgOuySVA/ozVu9RbsQV
-ltWqFi8yKi1OnxrABogbEuTyPNiMZ/9uo5pSIyPokuvOCzcRfbzX6Dd3C7bz
-WggmiJOx/Qn77dzuJui8PHaWSq8ZaaSyi3xFyVgo8jqAY3cLlKrHK0bPNOK6
-sNmjM1JkzFrvYhU3bgHzkaur/XNtGH6+6ePtpiU89uFn8j/GNrjY76EUca4b
-1/6SFt7VEfWQ4ZqQlUCC3vhVvbxT7dgc0D2wmL+EWQIB94wM22BTfW1JYbwN
-hRXshv4lLGGUo5XiBfF2oNArKEd870Br34BNU6JOghK/bc/Z1QXps98OZch3
-4q2iVcObqYu4sI0mhGawC2JlhiPjDnajdKlqxWrXAo6WVnLsdyWB38bkLSGl
-btT4UH0qvGABwx+9OlfTTQK7cY0otvEw3BcVH+K8Ywn/Mn1lMxzvh6G3mRkt
-AQnoreKaoSO4hKqR29Kcj/fDVNeTff3+fRCpKm2kUziDKq/9SLbXxuCyYfHi
-fr9uCOehE3xKs4iabl0b3lw9wG13W0F/Sy80Vn4KaKufw468e0vv5IdgmJ5c
-lx/WCV+rVw4d/reI0ozxWndyOmDSf3AvHiCBfTe3Fg/PAp7M3Rxnr+uFmU+3
-qleWe8BbJNk5knUBKXTST/Yx9UHlbpeD1CIdYBqilZbnuYQvdu34ORXWBi9o
-XlT1pHXBm8o8KnGDRTQJbWed+dsFjuoHH+/a3Q29yUKGo5KLWL+Qom2l0Q3r
-9eOf2l60g6mXw8dGXEKT+aqVozmtkPt2YXuBWieUp/x59ZVlCWl+1VQKXOoA
-7wo9j5LVVqi7T/oSzEpGtrV6dRvxZlBkTO8ZO9YBDbxnxir9llB9z6NDDY5t
-kJ/mfbO9sRnio7n2asmTkennEdb8w03AyOpU5/awHUIMdl/7UE3kWX9j7YZv
-KwxzfbeNb26EcnvVCj5XMrZ68c/5phD1vFz3YtiuFWb6Nbw8eMl4p22PqOq/
-Jnj14qXwN4lGeG8gt7zrHRl3jzJIqok2QPCw89CniQZIWjVtEwknI8/jIaoD
-TA1gMW7KkVhVD8XL5S7M78l4r688Z49qA1TdETJ93lgHv7pf2lenkPGQ877u
-B0MNICRweeaXnD7+uttlNBpLzOfyB6+f9KmEbfQPg4dKdJHhqo8pfxyxd9cE
-MBW4VsIJCdde05N6ODVb/SeasP8rcIjr+zuC2+mxSfk3ovyv44z87mRsSb7Q
-ZF3dADddwUNltg5DaHVvdCaT0beTQVZzvQFGeByfB95uxqXO/csCD8noxReq
-YNrTCI8KfWTWz9fjyhx3r3U6oVcpap5Jwg1gcObqAZPFFvTfW1W49xQZVxiC
-7FKNmuGTcEXKikMDvr07wsMdQEa/cYbkOMZG2KqpXCTT34BfPrgXpIWSsVgk
-UcPoagOc1N8SqCrbhAyq+qajhA688zfbtouxFdC1p/XQ43ZkZ+0xz41fQpnk
-1RTHmjY4FRY3I+HRgmMOtTtjCJ08P2mV8IWX0M/fqS0Hgjsw+3J6aR3rEpZf
-/8NM+7cDCo5RD44/aMRrCaFV5TJktFb7ua5Z3QIbL3tV+Xs7sfpTQMx76UUc
-/BLdqKXWAxNBin30Cu0oxlKeI/VxCYusOhKcU9qAz3qs9vylblwsMy4TE11A
-HiM6X4bD/cC0OhUlp9mBQXfcNuIuLWGM5ydPLtsOyJQpkEyI6sTQNDM7S9tF
-LBW9PiyT2A2d18/wd1p2o6rE7l64vYBk2vP6n5P7YIMrOfihIAkbzuwotTac
-w/sbf0sMLo2Auqqbxa3NHnQ6euKxYsIcJuYFGuglDoNv0Ha/rVK9ePr4GO37
-mhm8ohDYwZs0BvF9Vt/eLIbjl9ysXQJfFnHyOF+h+OlB2LKlhtlnPAHvcvr5
-9I4uoqJreauCzQCUbjcTfsVHgtDPgfyp5fM4q6c4LKbVDzqVm+fFlnohq7ku
-/5bRLDZebTtu/2oURCPO19Y86APHAIsyM8oM0o7+0OenH4Pc2agHK/YkmNVq
-upBqPY/mkQ6cgjAACWFsMszfSCDpUPYZ/85hefagVHLSIOguuQTv+dgA7L27
-6s74kfF5M11uEX0jBCT21Arx1YOp4sFzDzPIGMySs85+pgGYpO59LvpcB6FV
-9TsqifeS+0Qit4uo26RYc9u7YrWwEPu1PbeYjGGNIPmM4HfiC9NzxGtAJ2Ob
-8VQJGT9oDBbR5DfCaPcZltueFuhTtPV4hAcF5TsmWhUHquFrSNW0aONzdB6Q
-4yhyJ+Y3EwOfY5RqkJ5mGDi+ox6dEjcyGT+S0fz2hUI1UgMcC4mZtCivR/dz
-cl7VScT7vW7g9kCnAR5kjPf8+F6D0ikuZ7fmkPEPz1/LPRON0LCHXiQ3qgHz
-unQWu6LIqHHiBecgSwNMP51juslbi6paV0OEkIwuafE4QejA5iO7jdKyOpSc
-0f07SZzb6CK3rEbbCEemj1NN/67FDycU7rhnkXFYOJ5u/7FGWNVMO37cqhPN
-7p1xb/BdxGdHEiQYlLthdHrPgf//7wPb/f6jFooL6K67b9lPsQ/Wt3A8kInq
-RltKS5/c6jzufrW6q2y6H9K7flNVV3Qji2/eBbaceYx8lOZ5tmoA2E3rr5nN
-dWPlazeGM2rzePyqq+2Z1UFoW0otexxCwt1t5m5mL2cx0OTi8oPJUYBlfoW2
-w73Iv8/xVMraDIZZndjrbTUGa31x/ltnI1BIz3jUxHARp0J/Xxp9MgQ7gg/E
-iJ5MxHvWbKYZAYs4khr5+0rRIMhM3H34xaUXoux7/Ms15jBIVVLr1cNhONwz
-yHHavA/m86kv/KWdRuNRDg5a/QnYp2EsW/ihF76HWx/PnJ1F+ocHGD4XjkCi
-zRXWxMFeWOhy36byfhYr+oevcwmOQsABp9YM51rofH/L4FABGQdLXyubcTRC
-BbUlR49DDdAWOc2k1ZDxitZ8aOZUA7i7b9ozMNaAj0qYeyVRb+vuPyM2KI3w
-7GjtOd7Bauju/CfgSnDKlhGuuqNNED8Q8fXDvmr493RYLruUjNne4dsD/Zug
-kfKj6vJCJRx/WbrxjqjPuP77GwovmmHeMJxe0NwDSUpUFCMjCkouLyWpcNaB
-5iF924veHjjLYSqV+4yCk9tt+kG4Dl6wZT+NP16Lmf46DMW5ZHT/ZpLGG98I
-ZaP3trC31mJH5nzy7zwylrP7HUlcawCx53+OK/lW4ybb1BPdVDLW/uSTDn7Z
-DB94yMUXttTgLfOMfw8+kxEV11hOb2+GiVfrFrxdNRjF7picQ9Tb2+RrbAUH
-m8C6kW30jmoNOgny0J8j/Bc7CywLXW4ChSojtZKjJAzp3KWsrDOHDKI+9SqP
-RoDCop22ntaNBx+i1EDjPHI22ti/shwAkk2OA7UQCZ9FvZ6Zpp7Dc0mpSBYb
-BYoW35CpFQkh1PSnR8Es0hy59LIsbBRuVb04qdkViYdC75hksyxiV+zfeTHv
-YXh+5O7uNb1EFA2KNVOTWESZN8rXr84PQVCrwja6vD5QNXjDveg0g5nM2q29
-TmOwWvegIv5lH8QqObygPT2N0r401zZFJ+Cs64DUY59eWB8ZLL57aw4dI2i3
-lUcPw9uhOerRt71ADnnohpJEHY4L22x/PwwGbuNcuaerodhY+K9XOfF+n/Vk
-ekg1gfGEaw1naBWYPFS/WlNERiFtF5pElmZY5L8YtrenEooiRPL9iDr5Ypbt
-bBnYDE6Z7KrXsivhif5rTyqCn3vgHxid2wwRXPxZ8ZUV8Gd29fPFL2QMvzLt
-/MG7BeI/eaWtVbpgY+FiK/ddCibXP9X1N2qAL3FNN2sPuOK19qOWnHIUnL8Y
-c8fkVQN4dkw+8YmpRvFXycxUxP2ydSsu1Sg3Q84+MdqO+zW4St5q3Uzcb6dh
-jDyjTRNkJj6RtiqvwiQlPZ9z0WTktLzXyvmtBTrVueOZ56rwC6tmDCtRP00J
-R7L4fjZDejO7c+7zXizyUpKTDZ7BxYkfo9mkMdDqG+vwXunBJUmv9RiLOZzz
-Yt/1W2oExhxtgvX/9mDytZaPi4+JPHuV6uWYjECD7r0NOZo+fNDRpm/tOI21
-EyOJplsnwHIp4EmJVB9mHlxq590xjaHf3pLqrSZgjvu+J+vZPizrLac98XYK
-haroZpNpJuFf4RdpHsE+lGHYoBfxnsJ3IWWFzLST8GiJrPYsKwrPK7NnyrYu
-YHIQXYZu1Aj8Pn/gTnhUIoq0SMVe/LGAG4x6ZzS2j8CfZJ5vfuydsDr8PZx5
-9wRS3Zq57Do0A1L674wTKb3A8UExeNx6Crk3Il0bBCeBs16exKLeB3Rj5cq9
-SdP4pqq8ePLLODDqrQQfIOqtXraxNyhjCiO5Lp7WqpsAfr6Vx8PxveBPb+te
-pzKFv6u+f9R8OgmGDrZar870gWjtsWxTwRnETqP8o8zjMOjfWi69pxdmY2Xl
-H8zPom6go67GgVHw0gycoIxWQKh/8s9wQmc2e6eYlhhaoD/qCdMe/Qp4N8zG
-fpLoR1HJ1Cbn9rcC1ztPA/nP5XDKd1fI6Uwyzh/u+x6b1gp0f/b47Ggph0+l
-QWcWiP6r6mEm8CimFfwieVe305TD+dXYhhPEHKs0pzA3rtIGozzM0R2uZfD9
-WKvdQDwZDWRurv70b4O0gRoOmlpvXGdjHd3DR8E6uoA6x63NwNdzjWXwRxWG
-2wpd60sko4zYP4VU3Rboi+HRCOqvRH/T/XdcXpGRm+GT7IGkNsgruH58/9Eq
-1M+KUqb1JqMb+9qzumtt0H3jFSnTugoXuh+4nyTmSY7hjfCw163QXTVQoG1c
-heeEta8LEXzNqfxQuUcr6EuKX4/u6MGHw11b79DPobdNBn+p4igYcCz9iFMl
-4WFnQelkzRkMeNnvwGk/Dvw+6izP3vdi7BMqfdXzM/iLYcxo7No4PP7h5sdN
-14f0N7Z9jDaYwp2uai6NFydhPT/ireaJXizM3mXZXzWJutaPQj5yTsF65PEd
-Xdo9yKdWyeLbMoYOQ6s6QsdmQWG3z5PfjtH4MXmk3tl1AZ/kuuzIkhuFqEF5
-5raGRMw4VUEdnLKAVYEqgio7RyHGs/VGsGgHDLcosDS+nUBqrweHvRJmIMhU
-I7rmNgnGSg5p3R2bxGSrElrPG1NQIxJu5hHdB6sNrYxrV2fQb/LOUdLYGIyc
-i9SyUiOB1WWFrZI7p3CpUuvYCeYpKD4pKHKW2DsFDNwPOttO4KcIttQjNVNw
-iY6aaa2hD7ZzLD/uKZjCNoYf35PeT4Bz1bNRs5Y+oJ0SXdBMmULb5lsaqjkT
-0LH2KceZ2COb61/92jE2g6aXv4p3KI6Bornd2teTfdBhTaPAJTqDrIzOj78x
-jEMKnxddfBCxh5pS+fy8Poc/45m82IxG4L5uAD/DMgkUWa6qKBB9odTTXyxt
-bQS0FC4W2u3pgfv9B98ZeM7jQ4NeY/tTgyCWfyDgbFAPnKzIK27ZP48nDwRH
-DxsPQd37L/3lPV1gKMTOPCK8gFbr0k9GHPph8/uyUa9CN4Tuqn21jZh/NA2G
-3W6cGAAHA6l8+sguGOsRe7csv4BxYufyNAX7Yb9uh17gxU7wuGTy4tPAAj7g
-ly7cXOmFS3Hv+01GO+AZ/h7kIy9gc9zaFtfxXmBo9tpbdaYDapIKv0zvXUS7
-xWGnqy29UHCq6tazj+XA4AgurMT7yr79+tcStsKfTWep1vtlkBs9yppH6G3j
-F8+5/q9twCFxwmGNUgrUAYcSdMLIqEe7vNZwsB3o1nm9jzKVwaNc0cPTxL6p
-Q3unaWWqDUZCIma/kQKw4+rWorl/ZNRXZ65JLW6Fifix8inHALz+JVqOjoqC
-hn1Ss62prfAm4b7JCUolVgVQ2Wx3I/bfaYNpccs2mB8/21lvUoW39GbfhYWQ
-UYGW4TKvfyu4rN8KK9avxDsCU0M5OmQU+3dVgvVdO9j92zETUFeJDdWlpE+2
-xBxOt1OVtqsNduvSv1EyqUSRn5Gv3liTcafkjKv13zaoPpZBt02zEw8ktxqf
-mlhAehaeCwI5vVB/+YDA2/BOPNR+m6eV0OeMBkEx/YFecFYvHRE83oXMkTqv
-r4Uu4GXN2F9yT/tAsHZl+LlaF/ILflxutyL0POnI6araPjjt1qxHt9SFN2vY
-7vaxL6DUsXreLfn9IMKR1bSg042v9mcYbm+aR7UWZdq09AFg4R/SdU/qRuu9
-cvfyfOfxZv8vhowng1BV9MadeaUbj8r/7XNiJ+rql++9G1+GIIOuibvAtQe9
-2vOiQjTnsHerlnhH3wgI7LOjjFT0oOq1J3e/HJ9DpfkE7vMXR+Eq/zMxei4S
-6gYd+JNAO4uHao2qu1PH4Gfh4YaPD0g44m87O6w1g9v367cm2YzDtoI6C3NP
-Eu67tTRSMTmFOkH0kck8k3Du1h7hcwR3iIn+YNY/hXy7rg3MCU0CSYLFycSy
-D4ernjfc+DSFjFFUxs/aJ0CzR/iNINGXY+8m90WmT6LqRngTcEzBbgEexxKD
-HmxjDCLa+hjW+0+kybLOgqAr502fRRKeFMmSW3wyiffm/p6W95uCb+3cKXOv
-iDzws/BK+o+jQ9C/lNrSGdAKTTedvhKD68piLq8vL2CnRJonX+0oHBU+OXjg
-WyLK/5uIT9ZawNf631/wuo3CO449ZtnH2+F6lJIJN/sk3jQJPbuoNgNXT3bk
-XrYgwWd6lwu+zpOYeF2VsTR4CmIyG2gaqDqhjXngivzeCYy0WGGSHp8BjmE+
-Nv2lHqDYCIm+5pnEBx5tKyO7p+GndULg1Nk+yPOOEHE9OYP0soESJ06Mw9+L
-0sp9PP2Apt2zHxYmUHnhHoO7+hTsiXCbE+fqh28Xz289YzOBGo3F+6uqpyDq
-eHbTU9VeSLb5RzmZP4vhAWduS90ehWjKhdxvbn2glT3AKnB9GoVGA7f4s01A
-TvStZjU2EujL/O5kjSLufc+pN3Rxw/DTlOU3rW0v0IaxsgfazOKFxVDZdGKO
-zfiuzKAa1gseH2rLnt2cxfyFb9LyPaOwnDApvLbUDX84FBmXE+bxcuHE5/uj
-A+D2o8VEQpAEHZLMc9f95vDHUd10ztJhYM9kU+m5SoKHTw3r0tzmsPUtOeBL
-5zAkdQ0bP/jSCXnRHnJLRB85o8LFwa/XBze+paDun25g1D9s3xYyj1p3ApIE
-tg6CRdUhWq+UDjiw+kLjxfoC0kgrdK0S+9Lxf0wf3pT///txNudVri5gpVFl
-WIB+P4hx56WkneiAIl8bXvv9i3j03gnJmNpeOEcTJP/BvhO2uxXsO1OxgLx6
-q3a3iDkmcuHhd2WJDkjauTbKtGcRd4r9PERH9InTrZeWn0M7vA15dpdabRFD
-ubILQrl7gSf2qF/xuTYwHiDLFVktYn3nvTe/VXrhzYVRRo3XxSBzxKKi6iUZ
-GaxVSjSZOkB8n+ybipFi0K0wZbrmQEbPJ+JrX+g6QMfHxmrV8ivYO3wLWbQk
-Y+EBhj8iVoReH5OW/TlRCE5Of9O91cjYu2i+BYU7wXGfm0NpVAgevZnr9K6V
-jLJej39yXmoH7h0rnzL1Q3BMq+/h3nYy2vCfEqw40w7v+W1HyW8q8Vire8Bv
-EzIa3dStohNqh97xjbB26kps5/c+HcdPxl3fXwwx7usETVrXmM+fKnBF5WvZ
-dxlC59XDQ81ViHjKxLcEy1Zi3Twrc6cyGS+dUaa6t9IOent1xcLEKlGKXVDD
-neB225bkNH62w8xPlR0c9zuRsVhbu3N6AX9S8u91fiT6USmDfaJtJ0oVbD6L
-Jy3g9pwFvxftvXDnqpTN3iMdePvgh5ldFxdRotefz5zIs3rMdlBP7sDD62Yf
-p3kWMUy1St2OphdorucWn+7uxOf7q2eUyxYw5rOOnhjR74xbw6UUr3TiJ021
-uYezC3hMyG2AJr8XfPOYy40iu7G372eZSfw8Foc3TJzlHgS/47uPt/7qxCrF
-nSzKqQuoZLxNaifxPg0OblrvkO7BMs/08o9Zc6h2pd+9c20Y5GxvVw3XdqH/
-zgDl5fML6HXkKdfPl/1wiPHivgoaEkb4X//yeHAW5Q13vTzqNQqm5ODTi2Hd
-2CNFrR8XNY8aZQrBkpcGYehtkGgaMdf55V9nXtSYQfdGBh55h3Fo/yEedlm1
-B02i2ZdYY+fw81fmO7M8I8D+Zi+1p3oPTh9k22cRSbxf9Wf9d4VGgMFC9xY1
-PQmpULzVL3oWO/VnR2UnR6FoqATWmUkYGl0ir2o4i9mKhtQMfGPw4wRvicsj
-EpaLJg1pWUyj4ONYuS/BxJ5CY5Yga0TC0z6SJU/vTeIF/d5VH2K+mtpmn5+6
-pRd59JlXyKsTOLfJ9PX86hRE0s7l7wnuxpq+vXeo/caxxdpc4efXGUiNa1Ty
-TSXhW/aHdkkZhB7uHjaJvTUN7zdmrn8a70IHZ4kWqalx/M43e6UgZgY0c+/f
-ZlyIwfBuoYeGa/N4jkP+C//FMWDGXf+q9iUhQ6eLdOjhBZQdM2QW2hiFPMbA
-B1VqbaA4+lXidugkJoStjdEwzYDgpdjH+dk98FVu3xX12Amcbsi9dSZkGrjZ
-uAJZt3fAnQQR5vLACdyzY87SOnkGnFOlbaple+BfxrPQwqcT+IzuLbXO4DRM
-M//lvT3ZB1Yjv88lOk3hkd17KRV9E6DmMHHdnbMfPgSt2D03nUB72aqV2uYp
-oHpobZ8b0QdD4TKJzVxjqPXixpuqhhkgV9kU8E/1wb8TufEWxZMocGtGkunD
-JPyNcSms/dMHXSpHS4aJPKuU8Wxm7ZyCic/i9rLEPFV6rIleXn8Ray7xOMfd
-IHRZ4ZtADbEfJPdpWri+W8SraprP49l6QXFfzAdN1zbY6GdiTzdZxCanNLf9
-t3vBK+jSHvevLVCaNjj8LH4Ri5X09U6y9ELW4uKDMa5mqLozJnK2dhHZi5eM
-kydJoHdzSHpUrxgOeqsbUwi9uj2m/LrvcAewcaU5aop+hdJMLZFyLTLy0tPP
-bmzrhD3bPqQfGMgH9Vv2DEaSZAxaLbt64FcnvDKsqSLbFMJ5ttDj25XIeJqd
-xzDhSSeEqxt9utceiSS9gCm7KDJ6S55Hh4AOOLFY7i22qxKfkqNEuUTIKMcj
-ZG3W1wFT8akzkVcqkWXZ+JkzoScpuUepNwk9MX8TMPerpBy3r4uLSe0juM39
-xlGqLtBVJpfIylWi+fdT9xzZybixWyAZbnSCkqzuFlW6SgwvV5GNYiDj2ys5
-fFylnbDgsckXUN2Ouus1ti8VF3G3sRp31AQJaKu6vF8odSDv/uJTpwQXcXA8
-q8/yWC/M7aYuKOZtRxWqlcNWtovYLCzPqxhPAm0qv+ebXu1oyqWnzfFoEcXy
-fjTc6yXB2RsTkoKiHZgq025GOreIAgti+24c7YWl4dNMTIHEe9ynGktXNIUn
-anIvuMtPQg2EcG+VJyFdooz21Oo09uSkxpdsmYALpqXj7oYk3FxqeeY5N4lq
-PJtBZuemgHpbBet9SxKK56ZMDFtN4hrL312/Y6fgKf1LKS8tEgYfdh7iODmG
-Oj2Sis9UZ0EmQMrBm+BG92516nOPoSBZROCB+iwInfWQ9PQiYeNDaZ4xuwlk
-Sgf/Usdp+Pg03JKyvRvdqVLH/4yOY/ew1mnWiBkw4W41mzjVgy/ZqddcH4zj
-lqLM8ICKGQgfD1JN2d6Fzusyrb8NJzDhjpqumc4MPOx9U2/qFYtlG5Wr0hnz
-2CP9ab9kwhgopLFTeASS0EXYpsO+Yx5rpt4qbDUYA5MrdB9YC1ogMd9lnXrv
-FO4dsL3p1EO831TZI33fumHxbUtqefE4BjY2al95PQOmnvJfl4Y6INzy5Gp6
-+hhuGzt0Q/fbLPwYyapVGmyDMMqZcBu+SfyUMrtL/tEMlJGpzwkUdAOnNMvr
-tvBxPCoR05OTMgP3h2R3Jo72AaWTXaFZZAqVX8tntPFNwub1vQaDc32QyW+/
-IUY7hY4FD9Pv35+Ep30sLp9+kcApEfVjsqeR3MZ5JoplAnxL/71nG20Gxqkc
-3ZZ8Yt5Qe1T0g7DbGZ3ga72vCbLyaKyVuxdxf+ezv+PfSFBSZ8kb8bwetobk
-mjMPEP2u/KixvX8vjDB7qsY05IHTcVHn7ZfJyMndwmcv2QW73jweLfLIhZbU
-3QZDZ8h4LpZpQoPYA+t3bRgUfo/DaU/5ZVli31m5ZyezY70T7h1di0l8WYHf
-p11t/jCS8bGzsvgjUicoCNSf4vItx6DYqJ5FKjLeOmcrb2PRBc7aaU2GXW3Y
-dla/46brIt4ZqHzS+IkE6yarR48otKN+p/m/VEJn6vk4P+8vIMF1J+HXLY/a
-sH1pne4Z8S5yqexLX5zuhRKRB8qMVL1ofDq+ryJmGmP+9ZcdOTsBYU9SfKTt
-SDg+f7goU38K3wgW2t7LnASDt1dvezuQUF1TcM8CkX/O5bDtz8Yn4e6ub6T/
-/+8lDelaFe8ooatu7GZlQzNw0KGC7h+lG5lPm61+OTWOEpWhvjnfZsDHlsUw
-XbQLl4VCowR0JrBUKtif8nAGMr8qzBQ39+Cyv+j553/HUFyJfX/X2Aw4fMqN
-vHmiExO3GWnGkifw92293/dOzAAlNDiTelcclp8cMjpjNI9Jh4MW12nG4Xy8
-bZDltSQ8EB1pqUXsX4JiVyd5WseAXck0yupLE1QfV7j+9vUULq6GNS4GTUN4
-V1fMdEkHCGwbQ8+CMWzV0qvmJOrTk3G7meu2NtgZJxK7kDSJAaOPs74fmQEa
-fsdP7HF94HDkJXfK71Es2yIxaTUzA4bckhrqz4k5SNilTSNgChseshvHXZ6E
-qqzDV0qsSZBtpTAQvH8Gr3c+XxVsHYeaNUu3GYseuBJRQ3VrYgb9pvISqA+P
-g2WjBbNCSA9U3A/tOVVO7HEnws5Ui46D4/OSrHsPu2GbNf2wbeMsbsjbVBUJ
-jMEi25SltXk3vHzWHH6lnJgrqKTZL5wfg9TnV8X6rBvg1OL6tjrSIvqIBvkw
-q/dC59k+bpavdcB3zT64Z4joXz38ctPZvZBRrsmmo1EH2ws4Ox4S9i+EXdSE
-Z3uhKiH/sO3vLGgMUjt6ZXMJr9UdOnqlqxuU2dOedx2Mx51JfyOtib6TkDrE
-XU3dBeltH8m2lzJhgYP6OfXEEgYtM2k8cu6BIuc2/9iHSTirH3tY+wQZ2/ZB
-yqp2N7w+4TQh1F+O59VyeIsXlnCofeUv21AXbGlpU+e0qsC/P957MmYv4bb0
-DJ1/xL7REq+5+fFZBR6uenvaqWIJxcQz73143w2HG2j/nudvQz68psFJ1Pl1
-9kdSjxR64W8tnVyrRxsWNx++0GG/iKpV7dJNO3ohrf9NpzJnG27580hFy3gR
-wSbQXtO3FwKKX2xtEibh+estcUkWxL72VczF4MAY/BPfoa3iS0J5OabNu6kz
-uD7BdcZixzgMLadpvgwnYcGvn+MaPjN4c9c1njP845Dvnnw/opWEqbznbK6s
-TePj/jZfct84lF2VSJ78S/QRqjuy//9dl8Gga3sE3wRsUbfi0dzTiwrFRtu+
-WE7hPppPMytWk3Dx5RVTi1O9KLdlV2yH5AS2iGwUaTlPwyE2n/B4VxLeo8T0
-HE6awEMRcuUHNKZBdC+y2qSR8Neg+TdrpnF04voq5B06A4/SbxinFvSg46+7
-yl+Cx/BG5+O3jcKEDjN9PZBV3oOX2xyCp1bHMNXVJ31sYQaanL8eCtXtxHNn
-Lh0fHyfmrie3PnYcm4G7NOcPFQt2YGaGmH3jy0mMHnDmViH03zmols9COg6d
-SzdqGU7NI/djmeRm3XHoT5/v7L9L3Pv00tWbMvN4g4f/ErfgONiRRJx5Yhvg
-2lfP94XzU4gHWnclPZiGZb/tgq8XmqEgnK948PgUevjOnZ8l/DNxHvurTekD
-Rh1n+YbOcdylJh4m/Hga+B/YrH753gfP2DTI5+gnkOqNxrKU8DS84Zu9CXZ9
-8L1GTJ6jaQxb+PkC4MEMuFNeBMYR/NxY4Bfxr2OouD4/UvyEmIf3n3QTJea1
-iSTBtnKvaWSOKdqzXXwCqPZSC+Z59IGyPTk8gnoSm1PsxsytpmCAr02ms6IH
-dsSZWNwKmcGs6dIVC+J7j2SRm7JdeuGAkWLg2OgU6nw7G/N6dAKsniuPxYQS
-e2reVlfWj1NY/lxy/sLhSYj6t3/soF83XD72izooaxYbV2JvmkmMwWr6Ke/P
-dCSYbTngcf/xDG6wrtBn+YzDKWleWSFREnxiaOAbFZ9B069dT9NTxuHNUIT5
-xJYekF06+WK3zCyK6lv2//s8BljVr04r1gVPPMx/7FSfQ5l+DV+9rFH4rejx
-sbm2C245cpM5j8zhq6NtgrfmR+Hqc5c7ItydsKNPTf5w1Rwmi3LO3tcZhQMl
-n/flveyEEDvXyLLkOZxtpITetByFHLLrlkSGDjjLkdP/kWGeeI8pXp0XRuGd
-v+MJKoEOmK+vOm6+ex6XCjMT94mMQvQxzo3lQ7WwHuPmubtrEcnjh3ZpS/ZB
-6y+JOzuiqqFvbNnTsX4RPfjY8qlq+yDM0zesITQLbAuLUndvLOGP0Icl6d+7
-4VXHNh9J1mqIevzK7FnNIvIePH3zAFEffms6ZkvTn8HjmNkv5qYltHigfs9k
-JwkOvizZ+8EpCT/3JNNqHCf0ym1Zu9moG7gPpde2P/wMB6/+at5Vs4SuG246
-hnwk+DjtwX/1xEdUWApNCR1cws/xV0iNzT3g7qghd9O3Ar2qntaPvFlCnwCF
-bkmiDhKUFnYpPK3AbV+PKj7HJYyYfJH7Ob8bHES3t8rEVuAt44WnMq+X8F1t
-RZbF9x74K3rhusR4K16x/vtG7/Ei/l14wz3f2wsS6lR07lataE3tbrdXdhF7
-GjtVLz/ug3fFgq9hthtlAsL3HXKdQ8WXFxqPtY7AfKDdnpyVbrzofejpuPMc
-5kTE/LZsGoHs30n66hIk1FVdaELdWZSq+xSpzTkGVU8MJT5J9aBLVG2AtMwc
-Kl84NMd+bBQunGLkjjMk9ugTNzlbRObwoI/LGf/zo8A+sx7H+pmELKrhMmVE
-He4cOdWFD8ahPH3P9pvFPViU6H7Z9ccsessuRPDYj8L87IfY3rketH503+EE
-zqJJtambRuko3O7iPlRKR8wbeZ4v0HcaL9NKGwUT76t584y+uzYJd1yrOXKM
-fhbtrvniYPAY8CeduuKSS8JYxSu0Q5dmsC5bsP7uG6LObRpVjlST8GJo0WgY
-8wx2FTx8fiZ9HLpZ794R+knC+Q1ha2/+abTXWMxXLpgAo5I1r2/rJKxWj0qm
-GZlCBl0JltRdk7ARdq2g9gcJdWrdtp6+NIl+rlpuvnlTxJ7b/9NsFwlVBAr/
-o+jMw6F+uzCOklKoRFGyVJRWS1LkJNEiaVU/KiGUrWizhZIkFFEUCQkhkTVL
-J7Lvy5gZ++y7tJCyvvP+e1/nOtd3npnnvu/P/DHTmzlMxVwxi871XDb8jlyt
-TF5AwhGpoR17u6mozdDQr/rNhrD5305WXybhecvdnHp5Kir/13L2mCMHlNRX
-n/4YTMJOdN9yPomOZWbj2y/YseBzrkZ4oisJjfsZMRpb6Ri7OSyov4EF/LhM
-k9OBXaivpOZ12Z2Bja8291oTWFBTnxjgcLYTm36yzQ6MM/A64Yk/+xkLTuZp
-VvqfS0NRRsx29SU8PLII/twVns+9pqDDCR3NMF1293dQHBMXr1dAJeH8X8oD
-tSOeZJBUUo9qFR/CsEkFGwM/LizckfXw7/FeKJ65RPB2o6NJ3ucib2kWLOEo
-VvoE9UKtaqikWRgVneOPh/1+xIb4qWtn99SSYcfH+Zply5jYSNy3Y0UmA+T7
-5D2K7Hvhu9a7d6rfaNj93Sra4BULjNTVW3yce+FE7aWVee40VNdcGtAwxAJ3
-Rdnh7R1kMLx/fUHqLAPVn6xevrOUAaE75+XvN+8F3zSjxpVBDHRdkRTxdykT
-oo60fYxfSgDrjvyvxde52Pil9pl8EgUWvN5ZG7eJAFte5onucuSiU40CRyGT
-Au5GY4HferogNngoW5LKRQN2o+1fcwqkNUSlBh7vBAb/D7dQjYeL0ffAGksK
-GA18JHRf74REwx6w1OShXOn3IOM9FLhj9nLzUtdaCH29cbymQYA3FrsleBJ6
-IWRg4bjMSDu0uNRdKb7NQzPfr/tfK1PgSt0upcfaHdC6v3BdwE0ePrj5KuHg
-CgqQY9EtJ/8b2NhZbG4tEnLopBw7OKAPUjdtT2he8A3EXmnlWWcJ8PMjdXli
-Wx/IRl0LIlplgl3+7rzX8SM4JR3tar6BDMquNzgimemQfMnZ9HTICG5xisv3
-CSNDpNFyrdIDOTjmnR5EiRpBpeBDczJ7yPDJjR3t31iN+Ssyt9JOjmDhsT+b
-XYgkiAtsOHh5ohrjBCrEk7tHUOPskoamw2TwNH31fo9iOxqHrhts1xKgpeTN
-sD1/e2Hm+a5nMv7tmHoydVfGMQEOHtG9f8VG2IN9Z6V3LBDOp/poByoL8Pq8
-9kwliz5Ye05pu+JiIl5+saVorz8XVyRLNGt3DMP+D54m9ro9eMr73HBAPRf7
-175zWHhtGHIuZV8Fix6UuWH+9k4DV8g3SYZiNsOwPjLPrOgjEWcV53E/inOR
-dkKt7toVCgzbS13Qp/Ugxcj2Zm8QFy9dzPn2dnAYbD2afC0/9qDduhKztbFc
-DP0dOJ5UPQx/CNaLPmgSUd8j+JKjAxcvSH/zrJ5PgaIZlDpXRETGrb/7J2Y4
-qBOQ623kRYEv09frXoyRcLsfo9h1FRNXLjjo6T/EgP0qw9teLCWjhxZZvlqL
-jtorJvd1vGTBs3+rl80bJeElcn5bmpiwt2xZUyryhwHBGw7nyhNJWLDUSHz3
-ZwY+H8rKfGXKhKuH05tHzpGw3rlokT6Rhs+D/7hnybFh44Vzt39qkbDlcmhS
-7UMavlrfcOGUkIvhw9afazWIKLk+k5E/n4LKfR8c9S5zYbvsycIyoc8Erkk+
-dimZjnvzTsU/t2XBOu4xhQYPEnrt3tTxq2IQ5xskZTa1cGFQJ/jPzoJOlJPx
-qSujMjCvd5OTVgwLWl3Oy79378D0tU0T6VeZOGnAmRE9wQJ915ub5hckI1Nq
-4Zs3uVy8W2bYUi5Dh6Wx7EpfmzT0F9Xf87uVi6+8DohlUGnAWBJ5q+ZNI3hF
-+9bmzGfhfebv3Y3CPTW6fk1d+WRwnLnsoj87jIWSvuf+tXOgvmjT5ddaJGii
-inYlOg6g2IYDcc57eGDol+i/kkoG99CS4NyjFPT7tdXjUjQHrB6NTyts7wUX
-2Se9LbRhdFKzVz74mQPuouFji/f0wldmEOHPKgq+nO7MakwU6jr9AbX/Cfve
-8xNv9SToWL9LWiPagQVtZ4xHFraQIZYW8Ul8ARM/7B/SGMtnwB+5JeQt50iQ
-9CBSnrGMgSdU6z7EiLOgpdHMojO/Ax7sZGtsOsZDc953lWBtCuy0O1b3SaMT
-Hqw7u/L4Rh7OlzGvYB2nQEvQcfpYSSs0nfsUGxEs5NCclP4GCwrQfmbmUr+2
-waEFvszOezy8oRWR2axFgZW3kiOqx6sgRi/arCdRgNldnzhcvX74cLx194RD
-C4TkT398/IiHtxtyCW6uFOi5rV6n6v8VjOhV5Il7Alxh0N9+jtoPK52drXe9
-TIXXAY2qH2yF/kD0lBg7JPT39hjNQBOEDK+q4qs3BGib23om32AAdl9wWVnu
-noPf6kPy/Z6M4Ea1sxHTB8iwfsjurZbvG1ivtrwywGgEK2UsHV5yemGNz5DI
-Z/s8DMg9XKwHIygfbjG6510viMwmxjI8v2HkuGqlPV+ALvyidK/XvXCe3x1M
-6G1DxQY15RZpAVal3+qdTO6D9cYR830r2/DSxPDFBCYfh6Jq1oye6ofXy2qa
-nle34Uhjfrwqh48BN9qCth7qB9eIKxHe6T1Ymmk8aJzMxS2r1HQ8U4ZhRYGh
-GzWPgJ6pJ7apCPuq2c1BU+XOYdhpb69BWdiDayZjV/s0cfGypXiT9/1h6A2N
-Urcb6EGHcac8jrAvXZ66T5DqH4ZVZO/jhsVk5Irr+wU30vGXfV3APTYT2le+
-+D4kIsz9K/yF9vlUXNK2RNZQmgNPWzjXFgvve7Zx0tyFxUwsX568x3CEAfb9
-v5eJupHw/YzNg3nKdLRXWC+eIszxoYwAKsONiOcYTrsvFlFQW2daroLKAdNf
-ojteGhCRarFEU1eDgu9i7iV1HeZCljV5o1olCTfLSHLbH/ah6r8rLylxPFh3
-rdfR6woJPXLCK5MMKVj1daFIyQQHyLeeHNjQ04Gntzjw959k4it7zUDl0yzg
-1OosPy/dji2fG14uJTFR/sG99AEZFjzd9ML4eGsWHq1YGJRSxUONDvl1k95U
-iCncoLmK0gDxTVHzBs+y8Px9povREhZ89R0wqfv+AfFgJ0ehk4eauVRfufNU
-WP44yP5bfT2Qk3XGB26yMJbeXqkoxoJbRdwSnmIv/MXR6E+fh7DHxTo9fzUX
-iNN/T2x06AUHjXkr5P5Q0CRiAz9zig2Z2hf8xIT8fazOYrCwl4LXVLNefDTj
-QHpMwNKdUWRokt85ltlNwTeP2wpPHuFAYTb/lVIXCSLsrfss2TRs9Nv4MZrD
-ArIo+/5xFhEeNUa9vhrAQO2UBf6yyIRqUWIv/QgJFgZcuG6ixMCH3z/mFs8y
-IeHQhjfTpB6Iy54MK/Jm4sFd4R7Wwr5hmFz6XVaMCIU3bs20HmHiztGV1lQd
-JghO2/K1mghAbK1dt+wWC/+7u2ld+2GGkB+CJgsYBLj1WDaw2ImFH7mSXwdO
-MuD1fUj+Ht8MfasbiVoxPDxOvX+YcI0CKibqCisPtkJU+j7f26E8dG1ftXbr
-aQpsaZIq+Kb/Fex9S6etAwTouTYofexfPwR7/aHcSWiEnsUdX4Pf8/DCuk8+
-OwIpUGZw6Uy1VDOcBh8zYpywhyhcSKq7TYHuoiUqK0kV8Hekp+LvOeF9/Ks9
-Mdw6AA2GFj8/Hn8Jr0Y3VuqpjmDeGYt8imcfJD29ZuUlUgFzb/lte4TcodDY
-fURm0SDU9JBjKrzz8PUsITXFcAQPjhsqr83rhfprqlizIxocSgzmPfspwMOX
-fjicMuuHBacbNop2fUIJS+VNqWwBrk7+w6mV6ofNxsZ3PF58Q966yjN7OwSY
-S6h41C/TB4frvm++mdmGzx5kW+wp5qPF1L5FvJUDAJIZIzlSNdh+WvnG8zgB
-nhPP0pQc7YPIX6DhV9iGIvGqyxak8bHTxnNE8vwAHB2c9r5PImDuwqHJtgou
-+rHjLF4K+Uj+3NFjgv0ElDxx8IhlMxfjpqlPDEQocPGg3gL9awTU6Q4JMRfm
-1xJ/pdPdwv5wPY4yuDmJgFLa5pc+Cv0keUPUqJfQH2p1J1yUGQR8SzUQk/om
-5N8jp44uLRgG1bW3Q4oX9OJGRrZ3WygT69fu7EwTcv3ZuaoTu7rIGH2ptCZq
-joHVSqWPMoqF3CF60PxuOxn9VFmv35MYWJMod/D1MAOiOdtoHwvIWEsTMfq4
-iYHWUsV1xKdMsF45v1itlIw0Q4XBq1103LwfU3hDTPhcwf94xISMXgLruf2f
-aZizuwryfrCEufLwcqPQf/xvrR743kLBLS9oPb4vOPD7eezMgAsJY6Wv3mlo
-pODMnYKv8i850Ln+6pkPcz14MTThhNmiYRwa6k4sLeeC7zLHG2ffErHin1JV
-12Iq6owdLrjwigOpmhGX/X+146HWo9WrK5jokmw6uVaeBR+XvQ65d6gV8/kP
-ZbUNWLgv2nHDsS4mYOLw2r0dyZh0549Bwn4ues5nEFmv6fAqT9b1rnoaNh1+
-t4lsy8UkkZQV/TfpcFGsSWz7RB0oJSYw2wpZmBaYbaTQxoRZRdKlx4NEaHM6
-bW881o+XVC64qrjyIEcyc2d9cy1sMSE7jBFYeLxJemOp8L7PFnapP3fpBfbR
-9FtOW6jY/abIkt3FhsKfksu6T5Fhblo7dGDzABKmTRbILOTBkG8itL4gg9j+
-zRGtSMFF1z2kLlpxYMuwxKFfN0nQUjKxJnGcjqJzzC8JK1kgPjJe9/4oGTaO
-rOpwiKai489qQW83GyQ1redL2pHh8LrFC5psqfg5tO3v6C827H911ahClwhb
-Z9alqsow8fQyu6ey9kzoKjyZ5vOaBFj/xVPxMR2jpSMMDruxYLSl2yG2lASk
-vp5343p0dHFNd3mTwwKXEXdv+8U9kOYoZWdmycIe2VnrNHsGTJ9virjhQ4SW
-ShsGt4+B8v2sDN1gJryTVyZsTSECI/OWkkgxA//uu9vhmMiEN7MvzH1u98Ah
-75COZUwmysZYx276zIB9v/rdtvt2wQUljYmPEWy8vv/C96l4Ohiad2qSCV1g
-Jn/EoceDjVt93ShbMuhQFVorcdWpEw6en6s6xWbjyUV6I2oudLDEArJiej3E
-nR1P3FAi7C16Q32kOArM7Jax2FNeD32fOnaaFvNQ+kPlq4tC3S6QG2ao/hnE
-bUWX7d8qwD9rli51/DAIDqYnA4xDaoEyeFSuPpuHjKh4mzkSBYxrl+rZT4dB
-q0dDm9agAL9mrM24ndQP5xw2Tu+XLoGH2zK3KcgIsLzmwP6E3UNg77bYmnDV
-Ad56KrxJTBLgRFHdr+0pA6CeoTAWHVeL2c+/xWfS+JjR5G0+6DsIPxsbc15d
-K0KSe2LVrscCDMmR/7LFawDWP7gSkaVRg6HK0XsjHwrwpZUQl7T7QTf+0G2J
-j22YGKjzaziIj+83hp7kMwZAzD5ndMeZWlyyctGvvaIC7LeRzzJePgivLWJV
-njfWoJvfOrUlRkJ/C7xToL13ALb/7aRxiW3Id69Ve27KRxX1tICVpYOw17HR
-YhmhDbOCEzZ5nuOj1sQ8uvaNQTCu+3BZzJSAq6TtFP9r4eKBsFz/5qlhmDcX
-8qp8NQEfjNcSq/K5KFvAlD+/kwIvVGZXbzQl4+c40X9b/7JwxsI58/ZHGtzN
-c7b9I9GL/bPExrf+TPTjqN/XWs+A5cG/3q3yICPngPnzJSUs1NkhOXTkJw0e
-2+Wx3HzI6Bw3d9UhhYVdMspiwRJ0uDC6TEmfQEY8FrnLMJWB/Ufb3kvKMsGy
-0s1qfRoZ/92g7lQ7x8J5hzQaqi3pcNnHY9fuz2Q8n7tkiJpPR43csTOCKSZc
-3Df/5/NWMvrMxdhL2DJxX8qI0oMzDGgXX2/mUU3GwU0ScdN3GHif/fqumTET
-Io87PW6tImPWDNFT8SwDRU+enz96iQlB6olF4ffIKKnHlLpnScfqNW8n+u1Y
-UEI/EavqTEbPK9qFJ+domHF2ZFzrAwv8DsYrF+WT0GVt84loPyrKk03ssyU5
-8JJq4qQSS0LHf06PzI5T8cCW7fLqWhzItftC21Uu5Mf3saeWHaGiQa14ruFV
-DihkTi55vLoH30zJWJpU9+G2dybXOuT4oGj1Iuw2tKFO2KZMyhoW+geoHloy
-wAQXlwkT2cRm/Fc5neeXJLzXzd6cmidMWKI4pXg7mYBpt9c+k2T2oMVs/sZv
-RgI43HurXI2bjFKL5aXFJLl4r77fYJBJh6BVjxufrErDnVP7T/mrc/HDs5+X
-iV/oUKIqPiBn0QlyVNkHQz4knN7BXazsL4Cnx9IkpzfXgn4xr36bKBtH5GJP
-9r9iwtCXoxNW93vg7th+CmF7H0ZWlJbYbOBDwr1/ia17O2G/3oL7viEk/JTc
-rbZYuCfGIUexZvQbTKTRwxdsYGPaFG3qbCgTyN6tnPkPyDAxoFJhWD6AQasV
-f9n3cMFIaVhErY0E4Sv2nlMe7cVRsl+s02cedPr8oxM/kOG5CDN0tdsgRu8Z
-Fbv8Ujj/et+cvisZxoLeNI1MDmHZ6NXj37W5sK34qV6DDhkk/84G7CNREW+q
-Tymks6HcmfRyt2c36PZ+VkzdzsYN7pd8vjfTgSQ2dVIpohPKy1/fdx1k4+uz
-bnSiuzCPZoxuOj3uhjOa2S5Jymw8bjlteoNMh+F6pWPDSl1QtcXxg0MeG2sz
-XCpvBtMh4mIOs0mzAxY0/hflvpWDFTaDl+6fpUP6kduRUckd8EhL4WXoKg42
-lVAzk8/RIf721sf3/7ZC29lP/FgbDl5qXJ5035oOObFPOk5tboOjC4973RHq
-tk0mXSVn6OAdMnDf+0oRCKxYXqwpPu59XliRFTMEealFL5LtvoGo7/XA0Hge
-fjerl3ZSpsLJkKGuCL8a0Cp9ddYgmYc23uTM5lkK3BjTV0yT+QRl7DzHa018
-vM7SpbU7D8M/7xci8Y+KcCzN/aJJqAD3fDDIJfkPgCsl+ZBzZhg+u9FELDYV
-4O30meulE4OwwkOfeOx9JMrbWdVv3SNAm/cLZreoDQF5XUfzwz2lePe/mwEK
-GgJM421Y9atjED6wmkr/EGowLPjkfMtdAvwROKYgajUAU6Q205CrdSj7b2Kk
-6hEfL8buMxVLHgKu821i59taXKD+WVV7iI8J+jEa/mGD8DRhvo2jRzvOSC2V
-a6rkYUDMrOVuz2EYLB8Wa1Rux3sLTt5xmM/HEKOKUb2oIWCdlvPMXduOdR8e
-OPxewEf2qnsc99AhuOB3+NYPcWEPzCJf6nXm4o42j8+EXArk/gu9cnkhATse
-9P73LIqLjelHT7kI+/lw8DdLSXmh/u07WS+Ri++W/mte+h8Ffl2P+5R6gozJ
-JyRTK74L+3/dvu9zxTQoLujdn8Ajobl+QMEFAzYejPN+fciHBq/mMwKiBULf
-2HQgoWkvG/8uO/Ux/hYNAtnjK/NSyBgTPhq01Y2FVy43hOzfTYcwmVT/l9Jk
-XM4+AbfU2Riw74pSdygNAmzp0nGKZMzedEUtdjUbj01CYmA0DVZ52Jz7bkPG
-yg76PqMuFtbF7LWwI9Lg6sT0gXrhfpaE712qHQurfmQc3GVKh7E3hJqzCmQ0
-lZwuqtOk4bnFujmzbmwIfLx94j8hV7o2do+pCvuPA4Es9TOZA+d/eiVLLCLj
-UHPbeMYiGurZadwufMwG34uPIytbSXh3RWWSfiIVfUJXeBL5bHguVdc16ETE
-FeVLbi/8M4SfRvj/7c3mwqbYg8+m5whoR4ovGl/bh7GX+xZS9vPBJCKFW/e6
-B531a3pLHgyi+PG2MUdjHtB6ZDq601rwa2AU1t1lYYUo6Yt9AhMIjMF4XjoB
-vyQoxuZRevCHzltZd6Efsj16OYFjBRCDGh6PvnDwFi96tew6BjivdX7zYvkD
-3J6lUFdyiocvPVy7JHbQIHFF5GLejwJ4GWEwM1jJwdecvtJfwvmOiqq0e+Jp
-eOic7Y2q7xz8IKavpSjOgHMviwQ8/Q54fOrA8Lr5vZiqbqNUelwA6U13N6w7
-/w2k9KWp/5mycfb1cG6fGxPOpd7fKL66A+yjto4Pre7FJLkvqyosBbAh8PRl
-WdlquMteq6DhzsZpj0IVh1NMoJSaVjMdCKA9t8H+YS4BI95sXjwaLACn9DWv
-//8/dCU1jzSPWZNQ4xbtZfpGAdQ8tGU/mCXD+i4evD8/hKuPbHT7Z8SFmy7n
-xh8u6IUJ95oPXneHUHZVmpiiDhe8dLPl/vMhQzZJecfXrGE8uDhZ/9VfDvB3
-pi/eeIQMrYw0d6uzg3hsz6OTa0u4UMs7KRdeRoLF1OT/9Ip6kZgUbFbazIPf
-p0XiPy4ig4wSYV6BNg3XMpMbBl3YoHSv706SBBkqginWFD0a+i7bO1/9ChuO
-OwZXb88kwtl4VT7jqJDfeao55xW48NTyt2YuowfEtuzQGFKgIffufPUmMQ5s
-/CkY0CUS4IJVvvwpWzq2LoeAnr1sEJQkK8+8aYOKmuZ+p7McXLOgufiisD90
-7jLzuFLZDm9+f389CBykL6tcuvU4HWbGFYh2Ti2wrzdjVuUqBydyte4dvUaH
-VReytXJe5YNGzjUOv4aP249/IV0LHIazO+o7LxhWgeP9ke7EAB5eNxKbSHKl
-whibdsjBuAoktYr7aoS65ed94cuFun3PBctNFtkwErXsukEoHwuebX83sJsC
-um75wfdEvoAfCkLDrHlIDLqqHltNBRuqwkTcxsd4azxM/uYBAWoubDe8OD0I
-hSVPXc6sScAEsYq4VaN8rNeV/kLfMgzfcxfbmKhkQdX3Z5Gtfnw88SdmRsmS
-AmfvuSuMny5F74jVtD/rBEgLbwv36B+EinUy3+P9E3HT9bo9Ukw+JuWdHXlq
-OQxzsX3PL2uVY4JzLtz+wkcbzzutbzcOw67wPOvzZ+pRav9PlzebhNxd6nHJ
-tXoYEnRIlb9f1uHRo/EBT+/w0anYVL2QMATtVy9Uum9rx+fSy2mEfzw89alo
-aXH+EPQebqVEEtuxo1GjvtSTh4HqZUPRmhTQyeB4xTxpx8IdXUPOwt6emGIf
-fD1jGBYldswmSQi5O+lE/EN3Ls4vkhHJfkeBeRFiemJiBNS/otpqos/Fw12W
-dS8mKCApIiOmM0nCpqdRD+sM2Rj8ecnvG140UOPU3vCuJKH7KV0UrGfj4q3l
-qR1vafDi7B+z9U0k/H31LtNfh43nU2YxKZIG9BPj7eeFfvWr/87pNKEP93sG
-kvsDaXDT8dnTu6Jk7AsgTPC02UjRsX/m60+DYANt47C0XszLtmLkl9OwuyT6
-SXskC3acXhMjpdiLFz592l2VRMWivNRot1g2dAm+hdsJfVtGpLEhaR4Fpy4W
-M1aNc+BzyLYrVZJkFDw+tVNFkYYtml3NCXfZYOQY/qMrk4grO3sCIXYYjx94
-9f6gGxcOhk8tf+RBwGjJRcrxUb245ZoNfzKQDzOrDMb54z0o43v+76GAQdyn
-PDbJ3MGDi9zO2HhhL9z+0NnX7/0QrsJfS9mDXFj5ZM71sXgzfl4S/fZyJws1
-X544R73MhNVrHAbKOrsx/Tux3FZ4fnOfT5qvmy8AmyXKKwWi+eD6VvTQyicc
-nGrZKvb5CgNMX7xX3KCZgtstZCX033Hw/efBmQk7BkS4Xgs9Yp4PYRc3ng7M
-4KD+vTXZCw8zQMVC98q/m0+Q9ObrqUkzHlq9cdgSYkwDh712QRGShUAeT2LY
-IAd9PbMSS1QZUNC3aSSe1wZ2b7Vk90r1I1+STir4zQcNwccje8qrIMVB5lnh
-MzaunQjOv7uNCa9e+FCORvfA0iueGf+lE7FcsGWhDp8PTE7I8dsjJDC02qY2
-N68fnzRWHbnqzgPeYqcFS9JJ8Jsh1Z6i24urZ3NEC77zIL9AkuBaSIRD9n9P
-HJel4NHDOxvTDLhQOWbBJYuTwK1MVe6h5yAOBTr/pv7jwlui+uO9fkRw9dnU
-ryNCxTDlaveYbA4s9d58vfINEbq+vF2i5UrB846jQQESXPD9aBWnfaMHXo8b
-HPJ6QEOwCNsy3MQGZnHMZHNpDzyU0Nm50IiGy6MbZc7/ZEP+76/SPnoEiJ5m
-a1WU0TFZ93W99Ao2eIZVcBRDCfBzX/qVkAd07PMNKDffwQbeX0/HeY1d8IRy
-1WCLkLMMjQfe33/Ogj3l59efXdUN75b+OnPZjYEr44rKcopYcMjrP7rF+05w
-3yUdkG7OROLyaxE2Wiz4vfzp9uGGTthe5RP+0piJ8+jvH+bpskAQneLwnt4A
-pV/35I24c9AwT6KvrogOFxkmscNvm8DzkteDQ9c4KHGnTvHMUzps2HVXxSih
-Du6tOithFczBp22Bh7fWC/vz7h1ldRveQnDk3klNEz7e2BhZFVNMga7qvdWS
-gZ/BPcaPL7eDh2yVD3Jpa2gQdb58Tu1oBXz8aH2Tc5CHd+TneDu5VMjZ9+W7
-ASENf97UdpCL5eM6bZ+2pK0USCyx7hyXSoaBUxdkStbzcXNiyeIVfArw+U8u
-3zr5BcVU846HHecjUV7z2agBBbIjH4bqWDdgkM15kxu1PHRaG3L+1HUKFEla
-RRlt68B3n9T1D6jwsOXq/O72RArQkyTappZ24FqG1bymw8LnfCZhJGJPgWv3
-lq/8IUNAbpn1hzlRLkqVuexZb0KF+MzYiuvSBOx+udnSYg0XL0Vu+b5HiQp3
-7bmxC6pIWDxx5+5uoV9dDVpzMlLoV8n/Xn0cekXCNdOg9lOTjfrZQYtOZdDg
-Q5Hz+JsKEr4wkV5wVzg/+GyhSXKakLtPSO/dgSS8efv0S2ddNrqcNFOdeirU
-t7iGmS3tQ35E4T8LXQYGzn6eVVvLhPjjru5yMn34FRW0/mxhoHlf96KQDUzY
-pXDzwM2/vRiaISq19BMdxyRe2U0mMWHrBs03s7xe5N6Kid8RSkfdC3cPVTYy
-ofp1wj4s7UVfbRkp3ykantn5W8vtJAtypg72e93pxe+ksfu0dipeV/Y9o2HF
-BhXG+8dbjvWiqe3S0vZkKio4mT748YAN015E9q6bZKwtoOQZZFBwnYOYAv0a
-B4zWymbQVMhotHuRu9ZqCm4/qJfgQeXAkWTvO6GdRHTUb1sRs2EQV2xo9KlS
-5EF3pmLxYTsC8uMMZN879OKbL+wVPRF86P4UySpS78GIC+DRGNOPEacyXSlD
-PCCUf+676dWD8pekojy9iPioLJT7cooPKQeuFhnV1iH7saQc777Q/yWTy5N/
-MeBH2+2a9AfPIOaIYCfFiI9/DaM+/66lgOXq5Pyq/iSMTPi2aokpH/NsbwXY
-lAi5YPc6o0zJQnz3VTdnfA8f/+0j3mpOooBNdJtx//VWmJ+q4x46M4C5vpb5
-a6P4EGnXkGKr8BV+tds1zh9mo2VgY/LdEQaMSa9//cDuCaxudpPyXc3HFGIj
-7escBcqalp9Y4ZGLR98cXKco4KK5itOhu1k0EOisNv+5uxAspYpCrgn5KOPA
-8f/kHKmw/uemXG3ogvfv1UtoJT249X7ZfZePAnjVLv85b08XfH+n8Y2c34M7
-cw6cMcsXwOjhuatWt4ngZ18prveDhFqkgp8nvPngs3Rm0m4hCSrL1v3+00fG
-UIHdc58NfOAPtvn6K5PByclm8Mb+AZT1PnpljTQPHIxXFAWmEkHpUOoYM5uI
-J209QpoK+OBuK3VuZo4IczM/Hh5/N4i0F4LX1wVcWBcdY796KwnWnez4kBo2
-gAbPPw4kafEguaBh57nvRHC5aRKX6NuLOkEhz7jifFjGXh6mqk+EhCX1Uf++
-UvGhk93PDi0OFFbutLa62AMzV0w8qgpo2DMXctsniw3mlO2HioVcr09ac8xY
-hoHxK7vil/9gQYGrRWDmtR7w+zQRFZhIQ7rSLQNKKRvkU413itzqgQ1rsjlG
-L2hoUezVHF3BhndnE+Pz5zoh8F5khd5mJpK6e9+IAwuUTpxa3pvfDfOuGu5y
-naHjymylm6YTLCje2nhYraYbPnTVqnz4Scee51gcMcMCT/68x7dvdwF5iVLi
-IioDdzH2hCS4CfX5sFXMvQO+PcirsvvMxIdTSa/D57Fgfe2GnfkinSCa5Fhb
-GMnEyg2VX92Ws2CeQOpMdH8DqFxX3zMp9GfPiaPl1sV0mPLs0m1taYMOa4Hd
-03ksPF01t3sfV+gDd0ev6VEbYLqm7siccJ5+XeoeTejnbywnFXLNamH/Y9fb
-paEc3P+t1PJkLx1sBm0Ns2er4GvQrYOnIoQ89SNW20aCATrj5qI62c+hZshP
-JEjYA39Vz+lU6FDhy3RxoNOvQpB5U7D+2hwXt+pJp68T8u/npz9Sv8kWgzOl
-RNx/EQ8N475+/+BIAxW1mb8JFnkgrSC6prGeiz4+G77QyDTYdsdpy+6zObi7
-fov6ex0+fqJIbKyppsDIWps0UrcXPLq3/8B/WTysFPs5700eFXpaFbpeX/uC
-czvk1GQs+ChqIfJrZB8FSl5XEJze5KJV6h1d8+V8nO0LLPEfo8Dk1uHgztav
-eObYyKeXgzw0G5PxyhqiwIuGROlFdxrx9pvKSu/zPFxxsUUya5oCpovG0wqJ
-DfjlFryUT+Chbf5PK9n3FDB3f/U+P7ADQ6bOB8Y3cvFj/5IDudJUcK1+YvXZ
-tQNXr1ecNaJzsVbZ7tt9AQWa1X6q254h4Por4bTk+xw02ZPh8JZGhZMvm8Fh
-OwEJf8m2urUc/EzPEPyMosL4u93WsVsJeGxZlfbXVg6abtfgO4RQIeXM6NWJ
-xyRsmG3orJRhY2PhdwlWKw2uP7CX2x5Jwpgr9JdWG9h4yK8wKe4TDTR3qOxw
-XtGH9VjhZaTAwB4dXb0UPSZssnigWi/MhXWrLlISShjIkNGOevyaAX8MzUT2
-SvdhxupJa8cCBkb+9Z8xTmXApwB97jlWL1osM6Zu3kXHggyPtpZlLFjxLec0
-aXkfBgraqax7DLx8LoAo1sUA0W77LOuFfSj3fiT1jSMDZ689YEz+YEB2tbRT
-alIvLs/aMll3h4a6BR4TevUsuKJ3z/2/2V5s0FuzWZFBxxRl8/Ed15hg/O7p
-00qxXrxpc7194ykq7r3m1Hq8iw3Gtxvzhvp6UepKWv6rzXQsOmJntFOZBTcN
-Wlztyb1oeUSj2keNjhoSpnkEDRaodd+M8x0n4cCyDNbN7GHcVJ3qYrqKC4O/
-MMz5+f9/36P5u7E7DR/ys3ae6GJB499UmdLoXmx9y3lh4UjDrScuanzrZcFD
-5z9nJtvJ+NyKnREiS8XFn5If7pPiQKo0h7WcRcTVpAypwmODqKWUtqJMkgd9
-aqxutSwimrgW5tzMGMBGzfwJBTMe3HqetlWX1oPhim2c5JODOHpy6Zn9xjyo
-uJR+/cH6HlxVNdiWYNuDn0RtycI2BjqLw/5U9hFwNGa3hqwzGTlmkgz5j3zY
-b3hny5RID95otKuPJxHw8sSc+6CtAPwP9iVYmdei5ZcRB+MaNjY55Djer2JA
-yrt/bmN/HoBmrHl5ylo+NpSczkqYooBx7I1of04SPu6W3jqnxseYuawHl79T
-QJUec0ht6Sdkp7+PnBHmkXX0nbwVfRTIsgwRWHm2wKFnT6fmPR/EiyeCNBOF
-edHjtl575eNgGCL9fZCvysdvisuOdP2hQMbXmAexH1IwsGA855MuH6fGwbeg
-nQJXf8VURSgWYkSu38Kp3Xzs5BiBQjIF1C/p1/9WKYNTzv0OjmeEPbM2Vnwm
-hAHXJFe6fy8lQs390dtVQ0Q8YnIxozyNDwfVnBQ6D5MBJZ+mPz4ziBk5gVNF
-JVxomzApmJQngfZO3sW1RST8oMNob3XgQ5xJ/hkWgwhSh6x1OtR78Q/1dPK9
-1XzIIF+0/rKSBCf2Na68IeSRnKPzj1x6xYPZ9XkqFv4EaIrxDE3fS8EEy/WT
-zi+58KbAbXpEuxu6fXUMlMOp+GtbUorZFAckhvqeNZa1gyHf/5A8i4n7jnAX
-PfnJBDZ1wcVH+h0wtLUuqrVFmCNzmSNLJ5mgbb35RmRnMwzv2jrReoSFmZqT
-oguoTPhvzfPLFYqtQGAtGr2tzcJl0kPhosNMyP7gpaFdUA2Bm5ibHj7j4GXF
-kv0O43Q4+nz5lRvrG+HX+m+KF9xYeG+6i/nwFxM+Xk3b6/mkEWj1VZq/hPr6
-kN3HzHhMCF+nmpn39wvskA0QXXSTg1EeXmOGZgx4731Mqjq7CvRXSJl8F+bC
-8rVWBueWMYAR7J5yTSIDLmYEX9/0iIvl7zVevzSkw0baFWmzbx/BNfduukoV
-F8tqfvS60GnwW/9Y8S/JT/hOj3BBvI2HgqaeYbUzVNAoflwmpxOGHyc1tAfO
-CHs4i3wldAsNOCN2P/jq93FtxGb2xGUeiriU2MqvpIFk/6mzEoNf8cStm4I/
-vTz0mctvDaJT4PkRVW8ZiWIkBhEJjg48VFrfUinOoMKuabPMmNgC7AksbhRL
-4eFNiT5r5xgqMMOXtyx9Xo3hd8wcd9gL84v7Y+ppEBWuZNDQJKQaz/qe3/rP
-kYdlR5eHs/yEz5kVsbUyqwl/l4iSf3/nYvKZ3oIYoQ+PqDrr2Ss2oe/fVnnq
-Bh4uIvyliBpTwR+kLD4d7MR7Py2TsqW4OLWt7O6NUaGf6+Wh2nAHXr5uV8R1
-52LAk6h/DwOpkKafu82f2IH/AsrblLy5uNDMNuqrFxWKQu85qd8joHnasad1
-ezjImTEbM9lFgy95i+/V2RKwaU/TwsxbHBzxV2y8+pMK09Gss4+ekHDdPMmA
-dCU2GnGWemSX06CfGm88IdTDx5ZulOexcLfC8IT3JA3Wh+nq6D8loTTpwiGZ
-BWxUMtW1dhXm76u1wxxPxT70tXV8fCmRgc/eSTZdKWIIe+9KtWmhz2ckzeb8
-oDBwROXQSIYXA6JUGXMXhTkStO74pvUsBo4G/rchwIMBO63P2vwn5JEo+rCV
-QR8DfXqO/D3jy4BU0/J3aQv68G9qpnhhBwOfm/OrFUIZ0KO2842hcH9FwHb3
-yScMzCLKLzlSy4AX3DJ/3V19mL2r96VFAQVD9mwT9RfysqG6tfWm4714zOWp
-M9NkGNEGP3vQOWB9Obo9mkbGLNr1j5d2UHH+fN8B0m82VM7tKXRf3INH7990
-+XC6F6dCKh4aXefDxHOdOeUUEl64pST+VXEY0+5Xfdz+HxdapysuLvhFwG0H
-WjZHavQiy3TDwTuBfFDr4h0T+daDkZsETyWFr4Pul2IVosaHLVnL5y+p68au
-8+s0P5eQcOJHV6WjhACWWp33c/Ym4IsT21oPHSHgDFNJdt8zAax+NJz0L7AO
-dyb7Pb6XxMaxCbN4HTIDCtVOCaQ7v+HLgNYFW0Q4qPXEXKwhhgEYL/d3wV43
-oAXs6jo8w0Nd588rlLSoUD3rsmx4NAnPiAx7HBHh4+4zDhPBG6jg4HW6tOts
-HjqI8vZ7TfEwNXKq7/sKKqhMNvjVjH1F2+9uVjEPOThaWzTZt4YBm0uhZ6a9
-Ebg3+ogFI0OoLr5+pYwJHza4lpdNRzhCVFl02B5RPuaeXpA6rinsXT1rxHLu
-p+Djnz61N4X9irneR6l1ARVYqk9qt235hFZLNv9SUuSjbeSDY28GKDATl9e7
-dqYYcnuthkOEfZJBXyKifIoBlw/cK6ceJcFm2x1DIUDGVjvKwsndfKi810tk
-7CTCaFrQB87hHlxjNJZ/WUYAAvtndXueEsH5wcdHO0qIKHp38MaVIj7sChxU
-i79Ogu+2RiEvXpFx5a6HowQlPlgcSp9r0SIBwbyfOGHdj9ZKQ1OkIB7IzUwt
-CHsm3KM8seJeKxHDfo4lqefxoSFl3K3sBAn2ZtRqlH/rR+e8lPAHF3kgdd1A
-XEKnBwyYlbrvCgcwZd0Q2EbxINDaghG+sweyrqQPn0wcwGuvqZruL3jQ3nKn
-TOdJDyyRc6ueH9eHRmt2jg4v4sO9nKOit3IJELLtlqoIbRgNo7kijsgF42Yi
-YdkaAsTrrXpSVEHBy6u/HbWy5kKxX4P0uXddoOcYt4g5TEW6Ruxvdi8Hwp0i
-zg+Id4Nfa7RJupCvly1eza8Y4wCZsspKTq8TJLybnLU/0pCYotm9LJgDNSXN
-E3I3OuH4TduE/WE0lHHyvLr0OQfudwytXB7RBL0Bp18mObIwjpBwjjvEFOb6
-cJnKkg5gNT+gVTjTUYl6uejhBg5IPn+r83hpB1xtYorddqLj6dW/XnUK9a2v
-c6LQuRmCN+jcjrZi4fV7Oa8vDjJBYf3dYMsTdXCxeMgk5yYLOy/M316lyIJX
-G5f5iAZ+gwuv7Kk3b7GQdSY4M+gAC+ibpl48k62AAPuafm1bDt6zEysVv84A
-zfz4lmliIfC/64Z0beWgfm1yckALA4IWmruc/fgKTuS8+9qyn4t44gHrRDId
-Foa56IkGvoXnxW6FA65cvD4vmdbuSIc813X9nfuS8Oj7zf47p7noZmAiBH0a
-ZL012/9HIQk3r6ouHRLq7u7SFznvaMC7/7R99aFMvOfQ6c1MEO7x+1WAKnRQ
-4rV7+K0tw79Fv04vHRP6eVxlUbWH0FeLpv7Vj5Xg8MLDW2maPNwueoT2WJhr
-qk2j1TEXa/Cr6tt9K1lcjLBZahgpzLX7ay/9a9XoxP/C7Ne4beVizcTI/oAm
-KpCst4d132xGZ/6VzLs5XCw2XJ5r2k2FNeVbCowsOzHJ55FBrAQXjUXlUlT/
-UGH1k9d4vIKAp3crtXmMsHG+i8zX6XAaKG8Zrr2QSsAgSeOG0RUczH+k+Zxu
-S4MtEw3lTo0kvPVKd53MIxaWrnZOST5Phzv9j8K3rezDhiDz2NtMBu5kHEjL
-d2OAA7vC4Yd2H5oFtB+7V8XAtc0RCs6PGGBygE2OX9OHZIfrjbu6GciksMyf
-3WVA7u+JpxpCjhBNUlfyFnLuiVz7rIwbDBD/tyF+lTAvXGXOs9SFurRhRtsH
-oS51bvHS8H396FU1YxSxkoY1zrdp8xNYkGCXvDyc24d7xman6qKoqPRsJoiu
-JPTzNQT0JfTh7INslYYbVBxteFzE3s2GMwplpnWOfSjfbbR9/TgFI1W6QbWY
-DWpB12lyh/vQe5u4qG01Bf/VS6ssorHB7rBv1tmNvXjj0OThP9+GMCM313qH
-HBc8rBZLzXPpRTFl8wiP28O4eBe3iNbCgfKXRl3sWhKmLH5P+PKnH03n10fN
-6PHgzc/fM5bfSML3bzpM6Uc/mulz/ju3W+gbF+eLe64jYpeBZ6N+bD+m7HYZ
-/5DNg0MPxdTSjYX99WdX8Un5PryZ+F5vaD4fjtTM9j3w6MamqLQC0VQiLtAK
-3/TFUgD9D+UPzLMhYlVyYVOU8QAe/6//6F0vHvz63rOj4EY3Rh6RGRh5T8RS
-J6eKAxYCMDI05YgrdmP9uhTtE4U9uNC9r+ZyhAB4r0k7q5UJyFk2QUvLJOOe
-8u7lat/4kHnAn/ByRS0+Kc8M9eph44Yn+XYm+QwYcflS7p/3GYN3N/9Nledj
-rVaEzmQZBZYM5pVWchyQ/1Bv4YJ+Ho4STz4IcKJCIq2LsfBXEvp0Fb8YG+Ch
-uKZ2ctZ5KoReE2yuzfuAkxv066KE/e0q6P5ytKTCAMsiUv5zPaw31pN6ZEjB
-RGYXdXKEBwr7NpU9PeiKHiJ7XrQM87Dq9JYrsrZUWKab7DR3LgVjErUcokZ5
-+HnWSGF8rzAHUxRtOv3z8Jjbs61Vf3m4KnX3/eRVVJB8ct2Gda0bNv6lkgxe
-dGNQ2e6qa8MCSPDZ9pvfQgRjS70NCqUkdO1zNczw4sPgUY0fj3yIoC1XYeh/
-k4huMzOZ9vV8eFufT1E5TQJT5o4Ma/kB3P5x73LZQzyhnz8rvksgwknNhSOj
-mmScbB88PH2WDyBd84IS3gOXf2/6Kvu2D39c72q6KMEH9WDSN42YHthG8vjq
-Yirk8mV7H7Wu4cOs+LzSAfEeqP+cvFZBZQijUteCoi4P0lSm8pel9MBkVLz/
-Rv9+3H7wcGtkCw8ytM7WRjzrhoSWC5sND1OR5jLKjZfnwkPzdWHXBwiwsrsV
-7owP4dpy+djpGS6Yrdc9a9XUCaGLtyg7mdJQQmQhSa2UA9eiRq8cre2G+Ykb
-u9evoOImcfOWsR1cUJFrFTNb1QFBpLURdxzo+GPhghej6hz4VzPEca3tAKah
-55F/InRUPEvQjjnLAd3XjS/CbrSCnfb4814SHSMOnTypIyKcp5OXNHu2gWd2
-YJmgiI6dTmFGJxdywFO+aexN1jdYvaHroLkwF3QuhC46aMICG6Vog1vVTTAh
-crD+gjYDCYto+ivYbFj1TkrWcqIJTj1d71uwTdgzS5+43max4cTYvIG4J7Wg
-f0Ph4HEfFtYmlwasUWPBNtNtkSX9hXApbc55TpgXVrMifruEefGvyUK14u9X
-SKt6vsT8AQtVyMHtUVZCnxH5UbDX+Rs8rm/NCxfm0VJKVUWRKQu6uGnd+zZ/
-BJM3fw5cnmYjIy3RIGElE36Wi5j911MIS/JD5FG43/B+d0OCcL+o31TuldP+
-cE+1OZ0+wUERlg/JZR4DGm/Z7h7KjoDftVaChKVcTLOMfOlFp8OXlrPHfJvz
-cG3bjjW5ekLdOfBIXhwd9m1w3WTz8j1aWoXPZoVzsW3zn848XToUzxIcbSy/
-YGqDlPupIC4+Kag5WTkm9Pl9FsskPCrQVOsg3yyPi62SHd7WSIPclM5Xivp1
-WD105baMExdzIt4t+ZdBA4Mqr9L9GnW42db3zGoXLrbf3nKh+C0NPptp9hWc
-aEWqVsLAfWG+SH0aDap6TIMmudjn5xkteEA+5/2x7Vzc7PVyvpMwR65J3D79
-e3MXPturV6pmzEG6AqVtvIkG1ev8G490d+KaN5mP2qM46BQvuDZ1hwY2mwhZ
-MUL/DB3/caMkmoXr3httDD9JB5HzheGHFvRge3RA5+ArNpLKTGE3hQaMdPGn
-5X8IGMeYMCR8ZOMy55MkQ+H+/fRQEXUuCZsNbAcnLYR7XNcRa57T4Ve/6+KO
-FhIOxu70iwpm4YIr4fZtl+jgmvHDxlm3D40Xmf46IMwvh2C/u1uE+VXqkXSD
-LNRbnSaNriIDjzgfVuKGMeB1pyTzq1CnfDqXWS7UZ+s+274W6skPs9fWCPOO
-pXo10VyYd+TGvPPXhXk3k/e+OxP6cfHzwCOC5TS8urOydSqJBXnmO1O+J/Rj
-/uzBXYOJNFTdRlBzX8aCviBz4s+4flT5RNnjmEDDQLWXwJVlgaaDeq0W9uFu
-w1ucAwZUrKi8Mi3pwob3x7f/1HbrR4rEp6gAx/9/X73xi/MxFhxOnNo4d6of
-1WYq7UVO0PCg93RlmhMLjtMoeeZr+/B+ul/ck7sUtPdSirFX4gC/yueH1oJ+
-jPUMfPK0nYprZEhv9JksOP/O/JFGch/21Jc+DNagYmR93ab/7rHBe/HXeMLz
-Pqy5uC1s6yoqLpGYW+z+lA28iMzNRm97UWef9uGnUhT8ESfZKhHGgWb5uuOn
-fvaiy78FIX4nKag67KOaZ8aBDxu7Go8eJGJUQ88zW+H5tcY7zu4V40OR4+zN
-6kIyerx8ciRhZBC9334Sl/XiwttzrvknbxORYcAd3uA2gN7yXXfN7Hggsvyw
-u6kuEQ9cjlWyFvQKc0dyvHAZH974kXT/9BHRZu+XHkdWH4a0L1Q5n88DQa9S
-vKgEAX1gkfxwOgkrXtD13eb4oLejiqt5qRuZtId3Mx4T8el6iXX9VgIo3+vh
-l3uQgF26S4jOS8h4amr+IbkhvpDfXXfEF3/DwXLB9vQlHAwLZe1vfMiAcNuj
-CYqLqzDkodl1BX8OfpuI0nLfyID9rItPoloCUFazd96/Eh6qldK+f02gwo+I
-mGtaQl57kufcPP+zUNd38G6MoUKq1WhZp2w2Lioc1gwr5mGW4OrLwDAq9B4t
-flaQUAsvG7pXNhEoKD37XjM7hwfRC06ekbO+h77/Vo+FV/KQV3avYLNwj5S3
-u9KhHSn4Zb74syUtPPS3Rf81t6iQYf0i4pZELr4d66ErEXk4/ehU/8bTVFh3
-7t/QrGEXHDm+b+OhjV0oWxbrf/foCLgdDq+dedUNx5JSk16VdeJaM9XxrPUj
-oHp+pn6GSYRze3yTTKPIWH11aFHhXj6M7E5ZNuLUA1fkNoQ7ZHfhgquy5rs/
-CCAucsuii2uIYH/D+pTrKAnVl0vfL3nMh7M6v71i7vdARNYn7u6GfhyM+q61
-DIW5pvGXYiFDBHdl/qEcGTK++32De+whHwqozUanGgjwLEr2NoQM4/7c8YOf
-iMKcanyofDWgB84+kiLMqQ+gvPytK/IZPNjYWzbzqLAbqvR22TRvouLReZ+o
-wRu4oHX2iMi3Q51w99S+bYX/UXCHN+RfUOKBn3Gl0TynZnANT/Zco8bAybP/
-lPW4bLDONX18u7wFlD31v3RN0DGogO/w+jcbBiS5ByXXNoJI29t7w7YMpPS9
-7/kzwAadehX951ALqbVndqglMzD+vGQ6k8oGEYblg5gTtTBi2Bl/SqiT/ztl
-X0Zhg+vSjE3TQxVg+scrRCDs4ZYOtyxsPVhgvCNE89KnEoAjKieW3WPh0M5Y
-CbcnLKj8eOIF7XkafH0rtyalho2zaU7l2x2Y0LwtYefwq2x49Veyu4rFRsqz
-O0ukdjLh0XFvssr9MNTMsHJ9l8HBw6vFl5g4MiBWX2//i/vJGMxXfjR5nINB
-kTLs4joGhAQX7HR8UISrHrhxfrZwMHNTZ3yfJAO2SD+7HqP6CUVbz0ylyHGx
-sPmppm4lHeQufLGqM6/Cwz5GuQ8XcjF7b9VSp1t0yBlysOwP+Ioj/61rfaEl
-5KzkxCvnzOlQS2XJr1RpwJ8ve1qCaRx89yi33kGLDuMxrbat0g34u3vwYA6L
-g28m1//6bysdJukp2dur2xD6lx8+8ISDJ6ri7v8Rp0PQ8UZzY+c2fHQu7nN5
-Lgf/mYZc/cugQcijCg3Pj10Y0/z2nISwxxpu5S9n6NAhco2VeapDFwZb1poU
-yXNwr6TY347fNPCjTHinFvWgoCChxI7DwhF5N9OEUDr02bB/XrzYg4XGJt22
-Jmy85ic+4yjcY63QGvLGpgfr1u3vLjFjozZjfGL1DmG+mAiyJleR8eL25tkP
-Uizc4eOQEd9OB5Z/er7YPDLKFcU0p25n4Wn8uME4jw63xdNqll7tw232Ci5L
-4xjY59/2viKFAfnZ0a9uCjnlziOrHF6+8HPS+frFaBQDCLN3ztmZ9eEnnXp8
-84mBM0sNh3SjGbCyP3fg+Yt+/Pvm0KXaKBpqRFoVmCqxILQmJMSe3Y/zmwif
-jNppePZ87NsXbUw4NeW+TJbZjy5+/20Z6KChbWCnwmgrEzY+ap0/XNaPJ4bM
-BZNfaLjowwdmCY8Jud/on1Le9WPyQbdLFZ9pyFkuIsEaZ4JNn7670u1+1D/q
-aDnnS8PZrgDR8N0sGCq21Eia60WRX0+UFzpS0O6dguE5PWEPPFY7CAwy2my+
-4XvKawjDP7m8/WEk7Kuu2f5vVpLQpNlSrVa9/38VnHc81f8Xx0lfI6KkJKUk
-UihJtI/SoCSVhEhpkIyUBgqlkAaSjEKyEiLREI695x3utbl7WZGM6Hd//57H
-+/G453Pe55zX63k/93HR+Pd787FIHqgYp2saz5IwZ8Ub/eS3FJRJH/Q6S+JD
-V4++mMsZCrJmh6oeB3ShaFuvfIc7Dw7uM+o5G0LCaZf23REBVLy16sLBju98
-ILLGBCcUyOj/c/bPym8U9Ld4HmBfzwdZPcfY8zNt+LCXmujxlICOZ9PUVxwe
-BLea39KpXs24wqznePOWfkzvSZSxCOaBkXKhq7VrCELGqag9r3jYfNLq8kDr
-AKjKfG6NZyegAe549lAYf2Y32NYm5Pc9zSJudg0fsE+nWfThSx4uNahn7K4Y
-AIjRGZ3zKIOHmVEV5l10VJUghzp95YAz9/mzKo9QjBVJuvsqjod6no0hO2sG
-IDXpz/lTkkn4QweLRtJ5ePfQRKR+1gDQPa10/7uZif1/k3wu5PEwSF7HeW/Y
-ADiIvvIOuVUKWhI1G+TkGeiuu2k94RUHLH700cI8yOBmpfu5uIqAN5XsKObp
-Avi+UYau8IIMfxQi9jocETJ1S+QeEQcBNG3PTQj4RoZPWd7c2Q8kHNuw1mj2
-oABSQj/NWyLVDnU1dPmlUVQ0sXVbLuHCh61l0lNf5IU8pdshdc+Ggia1iW2Y
-xQeFRSl6qgNkOGj6MEOml4qrFP/GRlwQ3uPDlr0eZCIY2hjQpumdODY/WWXg
-CF/IObvOJQrj28+ElZ1o6cRos0sVguN8mF15iHqinARBr+q2DqymosGNMSII
-udX/4rclnFICSLJGK35v7kU51T3m4295MKttJHVPhAj3NigY2e/owV1+uz2N
-2nnwvmHzsG0bEVBZgmc92IlqQXapx0354DUr0HoWTwCXs5UP7Ox60fg453vw
-ax78rdEvb2pvhQuc6kX3ovtR+Uy1xYwkDyyuMtbFKbTB7eWL1dSEfc60DPpb
-rcKDTaeK81T8quD5Q+sNJxMZWLhkoFqpjw2k5Msb6KUN8OROmbtLxwCKf775
-c0Xy/39XdnalcUMDMKKPta2iDmBgkJ+nuTBuq0hY/XxvDTD+Jh2oesxAKZ3a
-TV2dbNDQOV/XFfQd3l6VeB79mIVlv/6Tsg1iwdvcjp13t5RDYb9ekP8HBib7
-bNg9Oo8DZ8xG0mfWVkDd2jiX1EwGlhQdfeo7zobxlzGyEsp54DvifPf6BRY6
-vlB1ulDOAmWnC38+2H6D1X4f3l7xY2Hl38jwhy9ZQB2ZX2Di+RqlxxR3tfhz
-MFe1hDj1kgF/+jdbP6RGAuFb79uaIDZa/9oymP6JCRfXPFstTfqIdtqUq3vG
-2fhKI31JmwYT/gU/zzzxIgmzYrlHdx7ioMemX49dCAxIfqWkdCnwGxpliamd
-f8PBxesSnb/vZYDZx10XT/pU4CUTs1LJ5xw0zr80tnuEDkcUBw7cby1HzfVv
-Hu7N4eDj8+qHFVvp8IIepcJRqEftruGjjLMcpJxWcHf/QgefSFfNHzMt6H82
-8b6uFgczst9bJ12kw7a5s8a6nmR8z+i+oa4n5A43tfbJ/XSQtioVS91DxOIR
-zdwbl9k4e2V7yu8YOhDDDdVM/xFQs0bm8KdYNqbQJZUsrtJB1uxRvfSydiwa
-GL/57AkLrfPkdHZ30kHC+9zee/Vk3HVJpGFJu1DfF8r+NBDynWWHqMSxZCp6
-mllqq91jIr1cMyrDmAFKY4kZI45Cv/0nIiv6PQO3z8kHa8UI60Ncb7nRmorn
-5xkyH9cwMZ2q/iZcigGZSsc6b5tR8YvAeGKwnYmXPE5ZWf4V6s6pYX5MSCeK
-u4wM/nJl4EfrrNaLZQyI5DXpW3p04usP92zFwxn49ngrC9MYoE9Jk6+ndyH+
-MtzwW6gLWnHhuF+oFw31Kon88S5UuqV6b08zDT3VwrNVGpgwI3IosaCsC1fk
-xJqrNtDwwHRPyNpeJpSZsf0dDnfj3OCG5cZ2/ciOjDdNec2Gb8vx4Y8D3egz
-dMOy3rYfF8x6pHnFsOHWux1k7S9dKBsq+3D34n6c/vNuzu23kHfCvX2vvejC
-hLWZAUWi/djws/u+/QIO1C9aqy741okbQgWMyrhe9IpZq9j+gwPF5kcywyI7
-sMLpyI2umG6sd7eL63nLBaVg7eCbxE7U2ykZ+ym9FyvyS8XPf+LAjTWG9LxO
-Cu44HPfmcF0Hpp8bP10q9J9FCt17so534FWp5xFLqV34OFST7UXjgv4I8U5u
-QQcmROfxpH52Y0K+y+aiUC5ob7clVrZTMMZ8y9Xaig58KNhxZ6yMBytWiNB+
-dVMwXerqWlZDB9ZQ5fcmlPCgKlnlW+NlMqZUDq3S20PF9on98UXxfEiWuu1R
-oNuOXZJ7Xxy1pGDod8tSSjofGkR+Bjp8JuHL8UUR3moUvPLfXwZzhg+MP7u0
-niaRceb6nKyYUO9eE3SzjwfyQdX7vX2dUNdCN5h/CntGwINKd693HxqEWEZV
-DnMjAQ+9rbwaHUVC8u3M6iG2AEzz17789oiABlR7/CVJwuT1oecu/BKAbvTv
-nP0na9C4ty5mWxAdu7dUKkdkceA7y96dsCocJXcOsTgePFyYcfNk5380yImp
-exLXlYDSQdpvbwnjs9cH7xaI0iB7w6Px3w1pGEA3a4pzE+pmSmTum78DUEGW
-/8epKoER25RHmqcZyNbccjXZmQPzReK8HNdG4I/4j4KZ2zxskVq4acfMAEgT
-hjv/9r/DG89SYg4E8vDDqoOym+kDsMGx+1DB5gycb9ybkPuch34iD/i0ugFY
-8IR/Vdu1COrNElplUxiYVy+vHLmFAyeINrTaPa1g/oJR3WHZgqmHCnZzRwdh
-Ofx1GPiPCP/d/29B9FQryhxcV8+1GQTan/TNM8fI8OqcBuX4ZQJmS95YpF0s
-gDUqc2t7PpLBVlzfab5LB4bopIrpmfGhZ7vm2X1CHtF4nkRtvEXGpPDhTUUb
-hTpr3i5VWEyCcym/3+eoU1HyL/k2tZwPH/SsK59XkeCR+M1d64W8+ajgw2JB
-NR+yT556qpVBBNukjLH7jC4UP6DbfVSeD7dbx40nF5FA8VLqwpfvO1D708gv
-0ed8SEudZvveJkCwx+zTe4O9eO/ZmVb3mzxobBK5p3a/Bdz9hjb5s4RzxzJV
-+ifKg3O3n25cOdcG9obia65b9GHhm3cX5a7xYGBGZVNRTwMM3w72HyAN4NW/
-3cxjKVzoibdn+B5qhXnBA3muGf1YuqSx/pYCD7ZEl3Vk3m6C/CEHZUL6AOro
-tCZx07iwI6bavaaxDthZ8s/3X6Bhn6772lsXuUJ/sMy3M68KxIcWeWWM0NC0
-u2TzUUMuSKlG1q7qqIKmEf5YsjDeDCpv927jQmacW8HLRSVgleVDDP/KQMfK
-9d5VShxY3Piu2L2sFL6f3bZMtJWBovmcL6GjbNAPUyHT7b9BUt+JHbp0Bnrs
-nCgeW8QBRvWxf5F/PsC2CtJyv50sLImWD7z2hwV6V3fkhlrYovJvyTploc83
-Dj8g7TrFhGe3Cu2LJo9hzLVnIiMH2Cg1tJ3u94cJlkemEh+kROOL6l1b5iZY
-aEHrmG08yIJBtozn0Ns8XNr4QHvqJRvl5t0XDQtkAoZcsBzoyMaV+qqHfpPY
-qLOEYyJ2SMhl1xc8n1VDJB5/U6U/yMaAa0cSPtEZcEVfx9truAh/TrB/nV7F
-wbPnOso6vjOgwJdWPPW5Ck/G1drtkeWg2KHMDOIlBpCrnyo5bqzCb2NXNuRu
-4GDr6fimnccY8PHUtld9Co3YHLEvNYXAxqYpwuoGHQZ8lcpw757XiMd32qTM
-tLPxyOxCk10bGUCr/r6iideKJ75r/HwtzD+KIet2nk+HEBNG3FRLK9abWZ5R
-TmXjpusHvyt00SHllZV0OpmITW80tjX+YuEx/xjP/Ck6MIqOLDNKJeJFtabr
-61aw0X7fVOBWKh303Vz5hDdUVO66Ihf6mIlHDJaFjO1igMYGrR67h+2YbdGj
-9VuDhSreedOawny+bF7ds55LxWVaVtIPdZjCuQgUfA9ggP/EtVinNCqGiofH
-r/Rm4mK/Hb2CgwxQl260vP69E8P4Gb2huxgYQC6knaYxoPE62yImvROTR2d/
-2Jgz8J05ye4GmQGfom6ObN/QjeSk2Zn/iDRkjfviqq9MuLd+gdyird34TuGL
-1fFvNDQb2zdNqWeC/d7VJo6zXegjtqOT1UXDYObCy6+KmEDiPXd4vK8bJfyP
-uyyx6sfRRuZg9ls2fN6epnq1uRuJO5rkMhcN4DoD9UPP+CxwOiv+pKmmG7nR
-F8+byw+gxeL9B5wELIhxmDiQ7d6FeeKL1YzP9mH1HZ35IUc4oCQ1M29dRDda
-7LUPHv3Zjxih/e/dbjZ035soZzh1o4HOW6dl3/uR1RydKm7Ghkv+6nukRrtQ
-93vKCfGdQt1criDWWsOGZ3Hfl66X6cKx644vezi9eCex/LJPKAd0yLp4UFzo
-v7PEnQq1e3DRUQKRdZoLpVvha5Op8HlnlPvz//WifrCF38YbHGDXXF/w6C4V
-vZatKSxN7UTvYp9ev8s82PsauQrnO/H8dd3wYwE9+Gx7hK+FBhduzq/58m1L
-O24YCNtsfpqC5Q8zL7oJdc2Vd75UIPRFD/95/K0Q6UB2iMIZxXN8uHmpY/3N
-Te14/I5xn8oJCjqUy8r8+SDkAtWs//bXtqNuvcaGmddU5D15VHltPx/OH4Nj
-meME/OvGkHEnkNBIwxkeFwmg4vWtE2P3Cags1bfE2Y6MH5dTRUK/CmClRwbb
-broNV1c2XA4OIaDK0ELiNyH3LSMmz+11JeJv13nlG962IncNuSnQahDCd9pV
-7z9NxNASN8Uzh1pRdY3e0xNXBqFgLtzJ6kwtGh19qnNlNx2VVMcnk9s5cMuj
-z63gSAGcdJ4oT1nHx6Js2+VTRf1AD3erD/xVAB/V5lmGVHGRIFG3bX4VDRIu
-5J0J8P4K/hb3/aWBg5kWlk4RnxlgP1/sYjvlB1DOCrQ+zDFw3qkPm0hDbFC7
-Otofq5QFSw7kZel95GPx2ub5mlN98H3A+MgiZjA8LGn5a2HAx2dxmoXHyf2w
-pCZxhLDpHSa8NQhdlMPDO7VvOve8F+rm0ueve/1bwLPdohIXt6DcA/taWYkh
-WPmoT1Re9BtQdtrBtstMBJsyfYVENlQeHYodbCLDlXGRWonUdvR0096V08eH
-Sevfkj9ukMF3KNCCsYWE9TaFfk+dBRD/bGNFKY8IK92f5XPUOnHBtHzlo1t8
-sDoe1PpZnQgiq98912ntxrhb0hsXCHgQ2faFvGGgDfLMw7aJBPThwnuHckgX
-eLAV51QPyrXC/W9JJvlV/WjCPKZCW8CDme3vb9ftrAbr+s93l/TQULHbUP3l
-Xi78zbcfHe6pAafCjtnHyTTsyS+YcDjBhe7Z/CcfAwphi4SMil4NA5Oiqq7r
-rOTAf6kvd0g6lcOBtvU7k1zoeH2JlJvxfC6sNnG3bnxaAQHqzi4Dx+n43tFh
-1zJpLny89TWtcUkxaJ1dtOZWOQMNV0moOipwYLxCYa2mylcotfHIZHcx0NdX
-5s+0Mgey2+69ZKtexyVnm1zid7ExUWOdywFRFkiMveyReBIHGtZKXVbLWSjy
-h75iQpUNR0Qrvc8QE8B/xuOYrLzQmk8Wl73TYIP609vO6vMc8Wd3zLxELRaO
-7P+SdXAJG842/7UtPJWB6Vbyo587WNivMl2cbM0CS6XPN87feYuS2HCCQGPh
-tpCfuSo2LCCWXb01nPcdp1Q03NqOslG+VOLt8e9MyHQ+73xAoQClR7SvhTuw
-0TtzlY5tHhMalw/sWm5ajmX1jSbiIWzkXTnyg6gn1K+o/654bilDX3m6zeQb
-NlrUvTh+UIsJ0z4u28OW1qI2O40SEsnGv2uk+g7WMuBZoHvJSGgNHpJfX3oh
-iY0Olcq2d8sZ4GtRLCGp3oycz/vSTpqw8ZGp4OTFBAYsC1owb066GV/qbz+V
-LMxzm8p+r8G3DJCPNJv6Hd+G7ukezguV2Lj25GA98wQD9MykNBZmtGGAkdYy
-wUo21jiLSS47yoA3y0x09hiS0FKs2GplJAvPJe8oiBbq437+7sAgSxKa7Wgi
-P4hhoT2f+W+/EQOK3h2PmIlpxx3Pfsxkcpjo5Dop89iJAflK/r+2Nraj1NFq
-v0oeE/VTXmb8s2KAndMnbfmfwn3kTk+SXfH//82zj45/L9RTQm1f9ctOXLbL
-kHVEg4FK1XavG+Yx4emOxC8Zht1Y2+3q5lZEw1u8BqvxSiaEXru0KWqwEzd+
-2z5os4CBl/ehZ7wIE7Y+nK80b7wTq+NefGkTZ+Ap4wcuAlEmhIm2ZEkKdWQu
-WvfavX/9uPRg5OjbaRZUSFE2DjC6cXJVA7jnDiDr4VIv/lUhv79ckX1+czcu
-vyPZcrCEhn/lyDEy1UKOC7tU0CQ8n12+reCG8DwzJlt/SHg+8Oxih60t3dgn
-sqAbTw2g3aox89LvLHBVmBdqd7oLt64f7/fR7MPSjcydvy9wgMDUG/kp5MpJ
-+fnqHqk9uM7kbOVBRS7UNr9P6FjUgbIrv4dV3ezCu1pyfZdkeOAWbCI6LUnB
-pNOOMj4yHThiF248ocSH6P7E5yuLiPj3VlbT7Tkyus2NbAtyFMCIasGnf7kE
-JHxbUf1yNwnVSwmLDtIEINnm8OkIj4BhR5SvPjRuxtm8Ex0vEwbhaGDUgid3
-CPjid4Hxw/JWvFrPr7t/dxCOz/ex38EkYJ/k2N4ObWHfvV7wmfhuEBadYBy7
-mZuOquGF0dkcGt5ZtFX0dxUX9N5/cp/r+QIXcyQ3ApWJxfO3jbkbseH8Mmsx
-050toNwp+vlkZyt+Dv8QOdczCBHf+En4nQDqo5zc7x9aMdMbbnV5DoL10PvK
-+7kEuHExU9lYuQ198kCtyHEQvoRMm66QJEOCz4LSc1YktFuWlDl+SwBmK0se
-lxSQ4D9C0JbQnxR8KCl+T6eLDws/G2e9sCkBkRv3mxKb6dh1+jTrPJUD2mp5
-zWpLn4PHZOjStWtZ+GSY0bpPmQ2FpPLJFXMfYU+ifFXveiZW3rGaXD3GBjHn
-c29eCnLQNjf1pWsDC0+ej/hefo4F0g/2xp01LMbv/i1bNqxn4/AF8nHZOqHP
-MbyTETJQiQ8qm6+EHmGj/pmElaYWTDAb/Z0QQKzHqsOf68r2sNHd5gNh5hcD
-DlIsN80sasEXGS+9in4L91VnploKgwGafRVfDQ62Ifmox3k2k4Xu7IKeg8J5
-tzjJCjfuJeLi2Q1Sol4snE77/LH4MQPmnSpt5xxpx+Fn48cbO5noUH18fclT
-BtR94qmXd3bioWOx/84uZuAGy6jBX/8YkGEQKbYxkIpqjU6mHcuZGPaKftk/
-nwHJfTmftvsK50iqJ5i6gYH5Uod5beJM0B3ftH8+sxt9jrlu+ZczgM/TaLWG
-LiwY+XFNW0oYr/9GD4gQzsXbE25F5cK5qL2dvOG/hWR8SZe7RA9oR9/L3yxH
-pAXgOzOZ9naAgMb1BovkZZvx4ILmgLPJg1Be0HLhC5WARtMZ7a9XNaPs7vgb
-9cL4j8QnTYzkChRfmzrUlMhAnu9Q7cZJNkyuzIyTGk1GwiKnPU+mhjFn1EvX
-pdsf2utdX11xuoAHRiTcNOeGkd+kNDIWFwX52W7DP6ffoVbe7TLlvUOImsYq
-21tIkFQWYnE4UQsZybnvP1YP4zfcaPzf7hKAd55/aDsIeFD25x+9E4PYMP0i
-ji9DgJjUOv1CDgU+SMjhvyEucm7ZHCsY6IaJVKOAYwG1YBfQeGNz1hB+akk2
-PC3ZAHslT5k6pt3EHQ7+4mrBw0hYqvOphVkFGp/8VgfvpkDQlpPLF77joe5m
-WoYzpRP+PvFunTnTgaLeCzUi+Ew8wa4OCIugw87rFzV8x4hgWbj52SZvGq5Z
-a27qpMGBsxFFtrG3q/Ddn9SePxlDSKEOfrqa2gTRRNsnzuEdEJXdHl+hyEbR
-Abm0z4o0KNjXabta9Sl+dV9NY2kOo8B+02IxxSZQ9cu/5FdDxXPbD9S4TrMQ
-9W0ivj2ggd5bB9ZcPxG6D88P2p9Iw+8rOqt5MhzoHYNTlxVIYNCZLNMZxMc9
-KUpSZoUdMJVi+916qhiUj19muQUNYbLLor6FOW0Qf//Mvhc3O8Bof/C5pAcs
-DAGPfyOdNIi3KBgh15TAzY4Vea7hQ7jJecU9+sk2CPfftfDxdxIuCvJzizvE
-R0qdQ6SVSSeUJGet8nKk4Kd5Nwvkc1h4RnbI18mcDh7lT2cST3bAoKxmztIK
-FroGMZ9PvaZBRv2lkPG3HeB8If9ih/YApnxrr19SxYbqjCB3/YgOmIxqWRwn
-5Pdlk4ctA46yYaVZ130L6wZQlJ+vsIwgQIt7Ss7ThlRw3+flQ5J+ixHBv2UI
-cUOovPn45JK3BDgtOF9V8KUVZyjNsQk+AtyQfH542TAFbGcdHs+LouCRpQQD
-o5IBVPJXvP//95iVZesIb8U6YWli9PndmQP4zuTfe1vh58albu3q29AJypOP
-TzhPD2C+l0Jbkhgb2rpOBKUd7AC6mNud2CQ6xp0Oev2QxgTz557bK9gUSKTO
-inUUsfBe/krJhUvp0LRPzmtMOR8ef7t8p2btEM6Osb0mB0mQQI6Pi9WiYIxD
-09SoLwdzvdbt7pQaAPPzp0O6rlHQg52qMc2noUjzjSrJfyy4sCL2W8Z1CvAd
-oo+KLOxBdeWG/UfnuNDm9WiH+7EOWF7638z8bDrOUrO3z5GZsNTxhHb0gxac
-93t3qvFxAb7lvhedsOoAzVUeL251UPAzf7r0py8Dz1GnItn+TFih4t/8NuMd
-JvV18Lr5XFyvPslYX0QDufuJxDUZFNB7QflzbrIbTQ63l+37wwVRvusTz4sE
-yNKY7Y2Zz0P5D0vvDm7tB8L73OpdJh9QRqA45dg5iOpHP1oWUNtBc5eMiWMl
-BSfmtlDPRnei1wUjxuqXPOAnz6o/V63Aa2LBQ7YKg2jMf+lbOUKFLxs/39Uc
-JeGR2rW3NMq5SOuNMr2YLeSFVYVyB4T9ZvJp/OmbvX2ofGug+qcdF5RoPOb2
-kXb41bJ62eMl3ZhwJHlLzTkesEoq/3My64DWTYu3fXvbj/01ZBkqcMDQssi/
-c4oCD659cbUT8vfWtsyW5vs88P5V+sq8qBnjKVS+WC8fz8z3Z2vf7IJgWpqt
-yj8q+s5b0twUy0R2d6rtRwkGeOcvY84tIWOVdgrh63uhD4qJl1y4mg8/PK/4
-bCymoKAw7K2BSyeGuIbkzCTwYE7gjXuLKHjv9IUjuk6dyJs+tW8kkQfOE0sa
-oZUMr5dcejaU1YnPNo0qGfzhQdMndIuTosKWXYa9E6xOdFxMO+ruzoMFNIlF
-tA9E8O6rOvBrIRtN1hBq7jDpEG6j2W12ggRT172IDeksdNKazZjYzIDDq4++
-TDjVBqMfLI4M8djYPRB1jHWVDuv866oDuXn44WyifA9DgCd0rx2OXN4FN2ZH
-62/uJ+GecPEjHvVcdFPuy68X7YdS5cmk9n1U3BF1bOdr4V5aePJD0qtsGuh2
-XtgNmVQkJb87R17IQkfF8xsN39MhTfOL+CJrMk6+8gr9LvRxNWvc4V4WD9Kp
-TOvYinYcP0YIG3/biREi4+rfankgte1kRWNOO64iynZV23Vims+16tJuHgx+
-3OppFEaCTxrKqt+nqDh2uMjn3ls+LNbTu5H/jwLTlXn5mSY0ZGb8WnbUTsib
-Tbox6UE1IPNHcmfPNx6e1Qu44RvbD8sbe/qluzcArbbzW2ykAHesjg5c39QN
-vV/LPjMVcyFDxWxn5Cc+DuVEfAjp7IOTgSatV73JuH4opNvqazcaphJrKx7w
-wOa6SZpHQjuudzb9bD7VgattrP+LmuTBtk3Ltxw80I7hFcNNf7Z04JCWeLzZ
-Tj5c2XYmZR6vDukRoRLdEywcJJ5wyTnJhGDXANG7JUTM7p2X59FAwbynK3Vf
-zBdAiEZD46woCRpKuM4mhlTM+sWtujTAh+pHYZKT+RTY9PT1gbDXHdgbHeBm
-QuKB3XjYuYHHVNiaGXZ1Tr8fb6e/Mu36xoGDNudDz7g3QFY5Q1bsKge9fFSz
-Mh7TYfkbRy2mOAl31yl/r7gkvN9mq9+7v/RDyr6gE+a8dpTdWUN6pNuPNntL
-T35fyQVWbd3KzC4y/lLVEOR49aJNq6PBy2EucG7Le6V4kfCOiEQEIaEDfX99
-sQvx5cPZRab5zGXt6PTtFFo+oOJwzLOmj9f4sN/TM62ISsYtbzb/yhfuoeu1
-JYuYwnuMOrhx+43DtbjT9ZBswyE2vkpW+By4ggnub/pM5DsJuKzp0Z3quA78
-efVg8P0qPni8Nl/891kzXB5e+TJjRxdmc3OnbYb5ML/NNma5TSlUEA3Dr5ex
-sU7/7KUpaSbctEp6KLKbCHtu7VtfrkBBtfxlYlv2CSC70mV1tBEB5vfqaIf/
-IKPU2KHA/k8C6FpfFWcoQYU8Dm1pz9suDBI3b+EBD3ZHB56U0yuDnN67lSp+
-PCyMvhkj6jYA7BvxZobHfmL/amW2xk8+1uf9kmXpCfsnRN/A0CIN2TsHzzj5
-8TF9cPHuyxb9sCBLZPv5zBqEFbw75dJ8XCTnJSoi0w8eblFOXbkdyExMv9vY
-TMPPChvfO/iwYIsMsfA3m4TF/e1FVZJdqJW10ddclg9pGWe0ReKEeYctHvMa
-asc/vWKhtZ18+Gh230nw//clUeUX/HzJmKBo5Mu1FEDKjrIdBW51GH0Ia16v
-YaOZQUVD2yYhL0tvtIcpAnYN/Ft8+lEH3uhu+2ktrPOcjGty8VAbFg1mdIxu
-7cJ3X5O2/w7lQ5Xm0/hwXgO8e/Y4bQ324dq2mQR5Jg8+vdhNemFKhX+HglzW
-n+rBb8b76Te/c8Hw95LnFwfbYUFR6LWYyF58bL7BRDqTC2FljQcajrcDSN/e
-oeE3gBrXnnUy7Tjgnu+YRLFuhi/dG3bxZVjoaU6ZGuMywfAb9dH105XQ+Cts
-YGsYBxVO6l/r7aODF9V/yuh0MByrNu3NruGhYXTOepPAATCzLmvTfE3BwOB1
-9/LV2CijoCpe95kGQfs9Emq3UZD7QHLWwLAXrw9N7VL5yoVDr5aGdF8m42nf
-W6e8j3XjgOeC3e1JPPCZ7xeqNI+MM3flYgbMO/CSz4T2uZt82OusVXLgs3BP
-3r8qPfu6HY2M7E+/WC6AxNqli+wtiThxRvpp3bt2xI1kmdvC+kdP39KoZNag
-w1oSteAiG5Py3eg3hVysH+lz2WMlAVO/NPv3iXdh/GDCrsgXfLAiLT+3V7EN
-T5bMUE+v6sFtyy/3h2zmg2rN4w3kl4Ww9ricyuRRDsrcrLDvecEA1blJ76fO
-9eCVgRK5Gb3YPJj3cc0xPtyTDj+w/1c7KHTUVf5IEvZX/n9fiTM8GIvyTQyj
-tIOv4teIgzp9mOj8b2v4Ay7cTXQ1XHO4HR62vLjt9WYAGz9P5habciD6UFxQ
-UHM75F0+O1L5rA9jvZbEaF3hwqd38zKOVX6GdErqYlYnF/WGPkoe/0GD0qqU
-L+oHSShbHzUTk8rB7+Xn/aa/DgAh4GLI+/sUlPD03db5sxdjXYsZxn5cmD7G
-Yb/kktHJjGw8da0HTwR0tb3bzoOlc88233Mk4szNqq3WQt3Yd4iss/qoAPZl
-qGlNHG/D0u21r8/wunHmjh1hoz4fyDJJEs5bWlFvT5a+8fte9DkdInqfzYM/
-xlL7JTS/gfyl161+QRzUWe4xm2TDACIv3K71Qi1oX1/Xrq7cj3USH2Jjhfs8
-PfvHL4EuGRrKqjIFZd3YsOS39tbnPNALODt2zoEEAZ8zU0bt+1GJ/046JpQL
-Bw8snd4ZXgMuPuu+7b3DwprVdsucxVjAfZhWUyn4ATbDosF3LDmobeWRsDqE
-AYHyjnd2mFdikOjDXWI8LhYs2Ki9dAkNZoaVTy8cb8CqcXHvLfe5mB3JX3lr
-AQ2Ue3Tqqr604d0CUfm7GRy8sn/zuaRzwvMR5ngtlYLziXa0D0L/Ke4qv4W5
-gQ75JDiR956C6X5R/qp1LFytkr+VrUyHQPvrkZP7uvD8Bavbqko0XJnJMDkZ
-y4LSic+61TUUNGMY1Bye7kLirG1m4jYefGTcXvzkNxEvrt6UHmlAxY0Xvhyr
-ofMh7tVX7TeerZgx0XdZ4kYvaqpsyrjO50H267GeYYUmDCyirX8/MoCGrIg1
-2325cHbEyvaeRTVUOaz79e5LP15606O69TsP8vofBVotIcD9P9K1eRo0PG+d
-X/2gjAPyeV2G17cSIFUzWK1Fnoaul16Bdj0HGj/os2flE3HHaf4O5UkuPtLf
-tWRdFg00b3RZWllQcfGlRR4Ku3tw1TNylEsxF86cVvK22kZC6gfFZbnniChb
-HmzUXy2Aueu5q5dvJOEmx9NZytuIuC5m7nRLiwDCzZakVLxoQb2xLOsFo32o
-s2Jc7FoUDzjBg39tNzah/H7T1yZCP7np4pRpqB0PTkzcf3NyVwtoL6rhkU+2
-YoXPk1PfRgbhJ18/ZH13JfiddFdd93gAz+U/cKcY88Do1O1/4YpEsDneWdeo
-RsRX4Z9eHxYdhKuPMhZpSdZCebzV0jOeDDRxXsvh9LHh0ov0i3byCJW3nyhj
-IAvbSg0ONDuxYFiC/sW76xEOkXeJFeZwULDlo1HLWQa45ip7eKwm4eX4f55n
-5IlYZLfLzpMigBbyBXdCPRHLtd9qKlkTMDtv3W31+YNgslou/5x0GcYzme4L
-7nFwD28bwVeTAXGyDzd9OlSH0vlnLZz/0vBK7HUOZZID/fNZ+SXqLXCpU9NA
-9GErFlipO6bzB6HI7tHeC6ta4PaDGFX5kFbcbaF6xE4Ypw1cqFXKa4PA+Oof
-SsFt+OTuC+XNPoPwtX7X6DPpNvB4eUXGsKIVv1+f7ZifMwj++qZbTpwnAUmv
-855pDgFXlj2WMe4W7tV9Jo2yFW0gyjxV+/RbH77Jcgk6YMUDyonlKvayzfAz
-9GdZ5JUBrFtc0uRcy4UKG+6YWXgzFGddXOZtPoDrltC2LG3hwlKpG/dTVr2B
-+oxyB9FYNmoq7Wtoj2ECkX+ybN2xQnwQesBRxIGDw2ayjZ+9GdC8ZkGGoVg9
-Xr64T1zjPAfJNuPX3uXQIYb0SX1OVZh30bxj5MUcXCX7KjbJlw6fydwL8yS7
-8eqUS9zvchpu81im/rWZCe+vhFQKQjpR+b43Y47Ug15VX/3953HhiXRLrFgq
-ESU9xHMnqW3YZ5ogba0yCG+uEaqy3IhoNH2EfXJ9GyY88bHatX8Qbl1vipNe
-W48/rVaOfqmmYcrEFmWTJVy4c7rcJU2hBa7dTeiMfNGK9HZFPQlh/Z0PZw97
-SrfAf/mrrmZHteKqxWs8UniDMO6Z2Jz4mwx2CaGDmc/JKLM39qyynABcjyYl
-bD9DhicOrCVdJ8joQ38u+2e7ACoCeupmThHh0Y1V2cYXu1ExIfHyRxE+KG9c
-Rd7TWAuO4r7zKW405KafKjvuwoWnhdfu7BLPAZGQnMO2Zix8HnehNLOXBVkN
-ipuOH2zHuxHLA5IusLDpl/Xm5dN0cDYvu9fbQ8VVGRd+uyzrQgYx0GRUlwcZ
-J5lckXVEtDcvobUeE+aZrM4VSRBAr5bGkOHfStxB7va5a8hAuuf04NW9HPji
-IaWSItoCN3vGVgTFt6Ks/uxtXeHzhob5nVr+pxmeBOUJHXwrVlGSX6RzB8Fm
-UZldQmYepAWWFIqIMFHkzFLiIUkO7PKVdpWT6MDClWqHfy1m4k6FeVHTkQzI
-Vt3QTjzQjdrnVk70UGkorvjKVe4DE2LcfcJkjLrxn/cerapKGu5YumHPgp9M
-yHMa2JfU341fXPDJoOMAvhBpfhubzoLXH33UxhO68UzerGh5Xz/OVjdqOqmw
-ge9tZDmpX43kRw/zGzvoWDhr6Kniw4G4/cESyfxm2LFoZp56bitq8Tj3/xPm
-vzpM7u7tZ2WQttjgklw9G9eWv3Us+MWAbaf0jh9aQQbJuQDD1+sJSFwuoevf
-KoCHE/dfDvmTYP3aT+S4ZAKuDdZwek4VgObF9eZRp0jAy/60dVyXghXznrsc
-XiCAsRyFbcmSfmiPNru0tFj4nTta6raEDeveO7ukL+tG+Tp5vStzNEzoP0Td
-/5oJDFbYyOo17Ri1kP1ovzEFXRsHPuAnPszwLNp2TrXh8lQ/ubnHBKSGCRYd
-NRmES/NSJHPuEnCNwYn7TkBCSmKKB5EngJMT1zrCPNpwYmeqwUcBAQ9Gienk
-mg1CaZuc2qfCNmStGp+zvNiG1psgQ9dvEArvxmHHR1OM49clt/4bxtdvW85M
-WvmC5oiB9sLpU5i2d4XY/7+H7CTyP27MjQI94vkTSmln8NfC3/mVv4cx61Sc
-iNrLDJCWP7mT6XUH770+NG/jwDCmN5jqP1r3FcJrjG7l2sWh2yKDbas0h3C3
-n/wrdWsyGL6/Xas44IpXA6ecnH4Oo03e0TS5oFJI+meqrtBCgYbZiAH+Wh7O
-7j+woWpHNzh7uOgePt0Mb05kqTBNh/BI+tn+T+KNsFeS9eCTZxNeulx5fObM
-EI5359bF/tcID3y2Pjx9iQhbK3SVNisOYlEPU3/EjAAfcz++antdC36pQ+d8
-M4dwR+4lv3SRBqBHetv8aKnFhDOllPsfhjDmS/rc0LwG6IrfxLGxJKA6Z2lD
-l9EgvqjQiPM/S4DujeKrwy61Yx6va2le8wAu/bTj1a1VHKBQ99STXDog9XTu
-sd2RLCTPJ0U31dJAZE9hy8u8QEy+oHdt5uYw0psINw+G1IDRd2sFDyIZ1Rf4
-pMi/4OHeBoV3Cge6QUoqQlRtmgTrniWtnPlAxtRqjSjiDgEs3XfX/JJsBV4c
-zgg6oz6IlvVB/I8pVBgyrXjsa1UBr31KjXWLh3C238BhQ08T3K/0996oV4VB
-2ikxTz8O4bJNuflzjU2wZWT03xO5DmwSyWu85MbCHMvAMX0FOkzsGd/StY8C
-LQrX9iQ95GKQgXZDZWcvZK0djVvn0wG/jJcbfRmiI0v0+uSvZ0wozwtbWPs0
-HP88mTHfu2AY10+LXbok0wKi81OYChZEcH6+NMR4nIZD6mqOfDYbAsLOPO71
-7AB3p/WphadZ6Dx9LcBNjg4SCX7xqEaCnar9HHoAHxtvjqyqq+mAnmV/PCcm
-W+Gkwm7n1RcEeJtUpq9oSIWfR8eNY1uLITw2QUvt8RCOqlnf3V/UBpametK+
-jhXI8pzr0j0/hP4LHfMYKW1Qyr1USLUiYcQuu0fUu3zcrU6YmSrrANvjuVMF
-Yx2wxtccS4T7x3CGvD3CgwUONzKvct0J6HXR6vQLHQFOLTcdDVhGhTHRhxec
-rdrx/si8hW3vuch5XBhRvKoPPu++Ztp5koL2u39a9wtYeKDxs2mKFB0MeGLK
-OvENsE0rq8WSKMDj2fqr7qhQISrZalMsiwK7JMtuqL2n4cC3gas5ymzQcPix
-zt72HZrm6OlZuQ/hT1keY38uEX5yl0U4l7TiWMCLvY33BfjcqXWtJ5UCxg/p
-zt2tX+C8/TyuiMoQMrN+GXQsJINqoPm77RNleCs/iCWgD+Lh+NX5KEYGA/d5
-irT1BPgy7949cVkemowaJ0Zs64eZ/t0mI+IUTJ1ZYJGZxEGXRPLnL3398Op7
-folKCwUjzn3zk5hgYbHF5dssCg12hdZnj1i+R5NI3YLRXi7K+oYvdmukgVOo
-62jhcwrotgc/bJjHxo1SLeW93TT4MdKxH9aQYWtQb44vn4NmSy+xDeQHYHr+
-iWSZyCo4OEnqt6sT4MgBmaN36zpAPvKRbEhUJtLISXep8YNomupGDJulgLJ+
-aES2fwtSfT8GLTwuwDS/ril/6w6wnnGVnRVy0HY8XdwTyMVVP1rfv2vug1XT
-Sg67XCkoqkM4N7WZjgb2nwZOVrMgNUU08kIHBfk6cmBxn4E7zRyTr/kxYX2L
-ZnSDNwW1k3Z0Tjj04DnFt4r9DC5kR0kU3cpMgX430fLlNwfx+Jo0qitbeI8y
-e0V3J7UhW3rWQvEnB5MCCIfOHqXB/j0Ofwa+lsDtlPXEYDcBXopxzJ+w6waZ
-p/SxnzmfYXFX1QNeFR89R2N7dX37IH2F5NTFL8245AWhbH4jH+szlsjtL+kC
-xvjK9cF8EsZLrjR/Us7Fb0vDJTtz+kAyivX+hoAC7WYH5SdO9mCYZvxz02Yu
-/BVM+n52bAf7Cc9+fQEDRxsT6KfvMuGAk8aBvC9NkH1Q+0deIA9Pbby1QMK8
-H14a5tcsOE4CA93yVJ0MFmo2Lh6e3sSAUI1oC03HNrjipXdFncNG34ST8Qou
-dCjt+2dqpliAIfubUgWvBVg1WLNkpXE3EHIqpZbtomJ14D7Vyrc0ZCW/KZiV
-YoOEsnxqTXk7xjLb4zefHsD/7pReiXLgwOUTyiZaSTW4TeyPnJkLGx8MJNZN
-zDFAS50dr7WiBuYXcbJ9C3honr2a1ZrWD1c7lt2aSd+PUu4aGRJhAmwuOFC8
-v68bUnUPPVklqERXpjg/WzinP9dytGbvdINP9dfHNwxIyM59rNgsrJvMvhWb
-KIv74Yh1dOHRj1QsNms6NLCchfY69gcUXtPha+fa1FojKl4++NrVZ0Y4vy17
-HhCFfJTVU8vWbqKi4yXbTXYRDDw68szklToTOjWsR6/Yk/Fvo0aA9sFulKQ6
-Nhel8sBqbVyd/xMyTvpvK4gpbMctszaHojl8OLG1tWX/5Q64Mu+70cb/BjB3
-m6SF8wgbWN69DoS3JIhy04g67UPHNHagkbQ+GzxCLhC+sBvA5/Tx1SpXOfg+
-erSu0ocOeNhlo41aC+4+NvWWKMrHGqqnll1MLxx1ZuWk6lNB56hn8O+kLrRf
-o1Cgqs8DHf/V093D7RBrBOSSJx1oobI1ZP48PtyJqGJfqEAIXPE3XOMqD71j
-F6v5vRuAXx7d/whiJfhmlcAy+SwfB803r/fT6gfSozmjEjES3jUuzUs/zMWl
-VxY4rezvh6rPF/U3NlDwfYYtP9eAjXstukNNntBg01EprwNj7SjRvfxj1M5+
-pA8T2rUUuNA2F3f+VhcJF8ebFW0e6MSV6yVuRKzgQ8qdC+d9DIgQrmj/UWUh
-Bf9++hCSaywAmT7bgCWPvkJn0p9XpL08jDD+9Wi5Ig1ullUdWfiACscXldyW
-k+tHdb3A/eVtHOiWUqXuOkSA7GXX/Q78Y+Biz7dOO21ZMNa6NGV1YTOsFJyf
-XvwfC601F9g6cJlgCa0TpFfpSPLNMhly52PL5LPO1879cEdbRa2V8ByMxhuu
-ilF5eKKmvTnq6gDk+o+7mZJq0FIq783jGR5aqq345avWD7OJAq1Im1acR9+w
-0/M3FyXGRPP+kPqhQ+f9Xs7nDhx9wG9OI9FQz3JjudYtoY+NmmcUHENCQR8p
-oT5KqO8P5kdcPy6AN6n/th0jUqCiLJbx6nQn6rq9MtFI5EG3z5Vuwo9K4OXs
-0lF7xsErh6+91O6hw05bpWzvF7lgo/7URKWBi4e8LW5eJ9IA6X0Fs2EUvL55
-rQdpHRuD0/GyVR4N3HcfqLkg1MG/8yJI5x5wsLhg0eoljAGYHa5dpSzXiYuX
-XmOVFTCw6eJa2fhEBqz9pxiYKt2JYY9frvojxkCRkVTBxWNMEJvfq2l7hII/
-Dw/+WGzfixNrpnlmaVzwGHPifh6i4tI/sfev7xlAHWOnK0eEus9ZTA+xsiGi
-QnT+8/GsdnzuVt2lc0IA7qORbSeMyLhK6711T3AH7r6Rc0HTlg8blCJ6NSWb
-kPR0+/Dyr/2oZPFkNMKcBwVho0+ybNrhv9DXYm+KyXjzmWTpwl98yPAm1U8P
-tYPXfd2X5gG9KEqx8XHN5ULPk4JF7CPtQGuMqy15MYA2a350Lz4p5IK2opW1
-upVYuiAsy+AXF/XlDl86J0WDy2GiuQkLCfD8ypM6hQ00LFZRdG8q5cDkWGSF
-+qsauB7pVr7uDgu/Lrt3B8RYsEg2NVBu9gcYGy/srLfkYGxauI9LMANufWzZ
-QV6QhsSg0H3cL1ykV/gobxCjg9+N8Kf6cd8xbkFVbfIKHi6MndN2NqKBEnNQ
-1vFdA9qu/L3wylsu/jylqKjDGoDO7323MxZ1YqvRw4l/vQzs/LHF4fwtBiQ9
-bvlomk7BkdVh3lsKWZiVqRS1V5sOLie0PmYe7ULKyYdH5Q1peKS2K/uQHwtc
-15dek1OgopnVkvyH2UJ+MthV6zXGhX3xa+4f/9SBfocrHhxS7MfTa4pEK/05
-EBI+szxhWRsU6cTe3dHaijpWT4NfZw4CK/Rm2ke7dgj5mF5N2deOZjtyAi9Q
-+CBBLD1kqUaG6FeBNzhbe3DYy9oer/Mg1/7fxLIEMvR00ePfDXRgjO2mpig9
-4f7pGTpIX0uCD/Vr2vd86UfWrcvVOxy4YLeu8Wqhaws4JWTv+BZMx6zSf6Fk
-JQ68+fne5WsHQoVu+6M/gSycvaTksu2isP4m+qY3h6xgj/TKlNF+DvaqNW0z
-WMMAyWlxZQd1Mvpra24JvMfG136vrE7M0mC1a5KBwv5O7JEorakQ9rniepcZ
-lzAGZExQFx/41ImBb2q1busK+3a05lDTbTaEltybdX1eBtcIvbeP1dJRbHLb
-fstKDpgVv1o/q1oHkYXB0V4ODDysrx0j18OGq09dYJFhM7x0vOu2wGEAEwvu
-RD6q54LkCU7UvsD3YO505xrvGxsXTtT80brJhCWvdj6hjNVhePmtL46XOKh/
-hqubmkmHJ7IB1/dqUdHjvv2x89NMlB9v+Hurjw6m55s5WRld+HTn9PaCQhoW
-9Ic0N4wxIeC+vrX9h04cWBKiRrbuxcBrhr+PETigq/V946f7BFxoOV5ylN2G
-rWM8VVshD94PXsgOpJAhRv6Mi2JJO17v4KrlU/ng0+thv5FFhO3zu/emmHbi
-5PVt4mfc+PBYvCFm8as22HEn1fOZTD9+PaLmHWHEg5Pf92xTUiPC4783ljyj
-dCNpvgIE83hQ/XqKIS5XB9ELNf9Fu9Dw+M0rfyOcuZC+8KziFaccYIht2M8/
-xkI3frHEu24WzI3L8uPWVWDqpdJNtgkcDPBaoCDTT4cNT2rG29MKcQG5WM3O
-ioNzq9Kur38o9An3I5XcFVrxDmXF5fPKHJQVfRbw7gYdfIozGMcsiahxKLh4
-zWk2tsidTCWk0eGBTmxUcmon5i64ufKIBQO3T06+2ERigF6Y+LPbeV0YkNOV
-NbyoH+u0D25t/80Gl7RE4qhIt5DDt659SaThiipSc1o5E/Ln/5SbXd2Om66u
-bSSXdGBaF4X+ZQ0fIp4wo265EXE0uSkhS64NtR28D/w4OAhF5sX6CSeJ+PHy
-/ZCQu+1o9Wnz+wo7AfDd3rxxu02E/nfK4ruetuFkiYfe2JZBMCigHEgKKYOt
-EaPWxYUM7JarWL54RshNz/xttG/m4l2S09PhH2xcV6UPGQ5MiI2ZKHa40I5P
-y+xJjYdYqBCxSVxvEQOeaz958vR5N67x+tf75mc/zu4W9ZnawwaiZoNl4qYO
-9LxC0zyQ3IWifq6Hkya5cESpxHKrLQV3+9uu6bHswPO75xdn/+GBww6RJMPD
-JAzd5XMvPqUdp4jPtNZsEMAI5dzzSXkyzGyQPHlPh4C0g18PsVsFsDl+bJTl
-TQKxqjlRCScK7t+pw1w4yYeSzPiMyw15wGj3tfkxx8AVvI1VolIcUPjkpbjv
-Rxnw7q2bLxFAx2WqjEqvGQ4s+NDr7jb6DpX7RcQ6+ln40dhgk5ENC7RfgL/7
-LypmLF6+ZqMCEy9e21v5J5oB2d4BZvn7u3EwRDk/tpOG6sEHHu5NZ8JNZzNe
-/0A36v3p/7z0zgDaOj6czYpmQZGMiYyNExn588ZTiKXt2HD57hn6IB+uyodK
-0/htKGKa7P43jIDXQs+/LjMZhP8BmY6Q8g==
- "]], {}, {{}, {}}},
- Axes->True,
- AxesLabel->{None, None, None},
- BoxRatios->{1, 1, 0.4},
- DisplayFunction->Identity,
- FaceGridsStyle->Automatic,
- ImageSize->{414.61663914826977`, 334.7237713820425},
- ImageSizeRaw->Automatic,
- Method->{"DefaultBoundaryStyle" -> Directive[
- GrayLevel[0.3]],
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "RotationControl" ->
- "Globe"},
- PlotRange->{Full, Full, All},
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.02],
- Scaled[0.02]}},
- Ticks->{Automatic, Automatic, Automatic},
- ViewPoint->{1.6041572960834494`, -2.1685989450486973`, 2.0430021989601057`},
-
- ViewVertical->{-0.35905622301883994`, 0.4853943864188981,
- 0.797164298212399}]], "Output",
- CellChangeTimes->{{3.857798335815461*^9, 3.8577984563217697`*^9}, {
- 3.857800072508161*^9, 3.8578000821205893`*^9}, {3.857800523012835*^9,
- 3.857800562749929*^9}, 3.857800724383367*^9},
- CellLabel->"Out[21]=",ImageCache->GraphicsData["CompressedBitmap", "\<\
-eJycfQe4FOX1/vxmZnfvpZcLt3AbF6SDBbtRscbYYu+9EDWxa+yKJVbssaCo
-CAqIICrYCwg24FpiiRJLkn96T+wF+f7nPed8ZWbnosl9ntndOzs7Ozvfec95
-T/nOt8vhpx1z9PGHn3bskYe3f/+Uw0865tgjT23f/sRTaFfyf1H0f3fR9sP2
-KKXXJoqqHqZFUf71F/yYTjjmmGMWHX300WbixImTaJsh737Ojwn22HeiGK9k
-X2T/9GSfFh2OXTHOHSVuZ/CZj7MXgA2vE95dstdkn/GW/eR/ij+Z8u5K5iLo
-D2+5M9wlZ/iXfEl4hkn6ZVFZTmPPan+pPS3vu1P2/VN+dnj/5GfLreDT8aX6
-49wpg+Pcae+Q0/694G6WZF94RVFScNqk4OunyuF/9bfN3lm87lFwlrTgLLfL
-Wf5cfPN7FZylVHCWetk3lx4OcrdWnv5YfOY+BWcuF5xZjuvVTA8v0PZ72h7F
-Dv2SjWlr1dcv6LfhGAg8bsE58tbvsxdhh6Yf9sb4vhr3qlYuYjg9vKVbFPNj
-5VT9IojbSfr6KvtL5eaWRuh+/JbptF0W+av4nf99TgLq8l9spVZ+t5z0H+5G
-RNEo2l7ny5Hjd6CHhfaeny1Pv81+Ed/Mge6LuhV8kYhLGbfhk8j/4fv/5n8c
-7nSiR99vf7j+uMVySOFANfF7VTJQ7y6pe8EldS++pB7ZS5qtP/cD2m6krab6
-kgqHq6H4khrdJQUAyl1SZjhGRjocCi5czwR7redlrqNwFAfKe+F1ONlochfT
-U06eUbgyjCUorRP1rFfSdv63XMwifuxypAfwf12qW/7f3yS9rsy7el24+Odp
-+zVtj0QqYcGg4ct+r9u62HvOGq/PDnt/+cbM9aX+KtzdafD7nC6RIa3SAjfI
-NyyWaysc3L7ZT1ppaS/4km7ZfWxdY1ZxibMI+Lsu862Fo9i7+Fs7Cr41UB7u
-tiTZweFvzn5r4Rj1LP7WoV1/a8Z8BUbGfeu18tbr1fcfhw0rOHNffxa37xo5
-y2vZL+CfOqLgFP0KTnG1nOIVfyGhzRxZcJb+BWeZLGdZUXyjRhecpa7gLFfJ
-WZYVn2WcfMKEtMzbCv3sS/xYCm+o01drF5xggDvBlbLjxYJ7qRQmo/jGFpxs
-YMFxl8tbz2dPyz+5VHD4mILT1hccd5m8taT4VlX8J5wkji44c0PBmS+VtxYX
-n3mjgrM0FpzlZ/LWs8Vn2aTrs2QUp57lmezN47c26/IUVdrsEnn3qYKzbF5w
-o+SmlEM8hgrjYjnbE8W/bIsuT1jJ6IQox9cvkn2PFZ91QsFZW7I/h/dfKGd5
-pPg+bF1wltbsWfi/SXKWBXIf8rrJDnPR2dr82RyoL5CzPVxw94t4fdFPbS84
-7fly2gf9Tw311vcLzjK44CzKAB4ovu0/KDhLR8FZzpWzzC0+y07YyypmqHul
-n5hT/Ild3HFr+Stw0FJGe1/BDf2h++Cwgg+eJR+clf0g/4rd3QeHF3zwTPng
-vcVXu4f77IiCz54hn51R/Nm98p/NwF8/ezc/VhFCHpK9cxdeTBt/Kieaxo+V
-zFtRjsnt5a/Dja+MQsXus7KQAfDp8hV3FowK2//Y/dzcyUdlfzif7DQ52dTi
-m3ZgwVlGZ7+Xz6LO2W3FZzm44CxjCs5yipzl1uKzHFpwlrH+LG7fyXKWm7Nn
-sV9yeMFZxhWcRX2Wmwpu8pEFp1i74BRKKW/0FxLqjaMKzrJOwVlOkLNcX3xT
-JhachQk9C6p+9trqW4HnY+WzGbu2ruzL4Oon8pbQt0r+CrDTHX5MwSnXKzjl
-j+WtyQV3N6Cw7hQTC047vuC0x8lbV2ZPyzfmxIJTrF9wCrkpyqWqbvdJXf6+
-DA90P0bPdmnx2U7p8mzlrpSGmvVLik94WsEJN5R9GdD/SN662P/+nP7Keksb
-FZxCv+DC7K3mU5zpT+tOsXHBKURaIwFCCTcD7uiqSAJJ07B3YPHvPKvgGzbJ
-Xgnvl1NHqn8KokplG1Wyf7+JhEQNqP5ibOcUfPGm/osdBEVFWLm1J+U/8YxK
-RTAS0J5d8B2bFXzHEV1/R5/s1dv7Ebjq7gcXDdb3Cr7t8K6/rbc/3MnAhQWn
-3bzgtId1fVp1hUMU41QXFZx5C3fz9Hwy8Cm0WXvkRzUXg8hYll4T8DAJJ0IU
-pDxJLrapqYn1w/rrr08ftDeHv+vQzHdBwbwfSUIA39Wt+Lv2kiHgc+N9fFeC
-z6RmwroVetmzZ0+84v9i/FfCy55m0uG96F26HDP5+EFm0fUD6BPYVzKTDutl
-dt68zgwbNsxMmDDBnHrkpjjbOpUKzlvO/Rp8NbaoiH4JUtT4VV37DrKXf7+9
-9tRde2wmHdErNYtuGFAxZmkzXdiUc0aYifuO5efx48ebzjs7on7GLGmmDwT7
-jHmuOTZmMXZ33tHBuyfuMxZ7YrPgxq3oZ9NLYxbxFtHZFw3CvmcHmck/aTL7
-/6CdPrjomrrETDq0F13FIb3o/52/V4d3+HnC2hW+TB7YdJIdAAmMZnmg3gC1
-FhmR3oYHnm9dCedYFGycBZIRrJidt6jjceq8qwN3w0w+YRCPDf3kqI5vTcLv
-8e/cd2w0wN6Ss+V20e3AfYhxE3Ao3RL+/XSD+H7wvUpwL+ytmHLWcLljzw6i
-245HupO3DeZ92DpvH1w25plBMW5TyndIBW3tCgRFJDBZZKWSb4/grxRaBycr
-mmc4vuA2be4EXM5lbxFdOz/gHqUQFb43uiW4LTHuCkwP7sHSZr5Tce5+4R72
-k4Nx6+QNlTOymvRGL76bZb6LuKP4FH+SXtO+xIlVyd3Gkr2NZ/rbGNvbeHvm
-NlZwG1X46BX/l+o+HIJT4L/YHvc0YfXqOmxRrDceWIV80DPuxzoVf/fllrk/
-UdjlDBeKPN0Sdq5kqtgd2fDbhDZRtYML0sGIuulNdxilYSkXDETvgn1J8Fkd
-yKgnHksq5QA83uCbuu/YkqCfxqOiKkBwPshufK/p64PB4df8hWcOZ3Ev4W6X
-+cCEh0WHQoemxMPAgNh7LG+dUwbjFz2J9xZNpl99tWyEBx6GILbqbuUBcreF
-0tUU2e/w8HV0UCIJcmTuuQPB4RkQpAW3ria4xXzXSMxrC247Dw89PM+32B+M
-1yXBCx3WW14JQHIa2KqfVAfk5wKQKAkHhP8blOqdxl1WZR31wL5YlAy9wiHN
-FhNnEfKeYSw/w3ruzBF29DAwtPspPDyJoX4Crx7n73mUkHN5HQ9Ht+xw8P3e
-X4ZDqGyVqSoKeEqEuVI0JGxxYU1jDATfoW650QhBUAWMEt95GpJpOiTnjgCK
-eB+9dsNU44ailx3EO/0gpjwySWgIcNOewz4aD4BErQDrMBqXGh2UzqlOS9G7
-ZA54nHrrmNBI1JLy0i+i0bCvGU/P0Og+jY211lMYhSfxKTsUdFWPDeLhIFU1
-oYvR0JRBJge9rTxN9EPhsFQj+zKKbYhTVWynCZkYGFgpbPvv2M66qYx71KNg
-HJIcUnBDWfJrC8amYpEyLUDKtA4eshhHxHglQMvh6c6OcgAga6+xrZwzzkw+
-b68ePEYVZ3xY/BVCAofhgPCiQbV+eDwoxM50MFZiDIwaERoYbFGcHZ0YgwMl
-Pk4UV1dokX0135bJl/RDcR5Z4s1Kd7M2f3Ru6BKHKWGxGDgv6mqqlzT31vvr
-hpFGgwcAR6T2X9mWNvcsGMdSHmO0r6cbxIq8ysoK5KKWR7CUGUEdPcCWtV7A
-RCOrCXn4wCMW49Mgo4lqRqFnZbySES0zyCxzsKNL+xI3solTfHFG8T3mFV+P
-7M3moRTbVJxYL63hPR0/cRurwlEjdHeUVYyx0kPyN9hMiYKiR8e/7hT+pbZ/
-SXNPrw9TNy46Nv0LhjAuhmJvPZShTGfBf6WiQ+/qYKWqF0WjQx/SsWTVWeHH
-LO+gsa0UDCnr1ZKOob5idu2AHMnglsIBxR62bAnDldTlU80C1ycHOauGa398
-kGjSR5wmzY+vgFTGsLBgobSG93R8D/PjGxpE8fbKdnwFoOtUhINcP4DNTEmH
-N7RJ9r7al46Zs3Ks8XhNQghHMtKVcKSdMMgxLQJUYOb5Fo9z2nTI0xy2oeS7
-ewLDPIWPPfWoTTHavLuk5tIp37PZ6FoHs2C8U/UAnPvp2P7UjtRKAI22cM9m
-lYAksJu876lmj+RwsGE2VTf39IPt4h9SdfUtpT9dvq1DfkjxkHMuIWY5S8Ix
-h0K+fkDqRjyEMo+wxXiOi/KIVwoGFoMWDG7US/Xu8y30JS+0BGNIG079Qgu/
-m+A4PLR04+NSM3G/ce6MdKZYPYTnmxnjlh/pgFsxyLoVuFhmb4x6OM5Wk9Ow
-l7zqtj61PSQq8rdDFWAFIOHHGi8AT+n2ZLNA/olBoWW2qrwrCSgVD3G20qrL
-t1UCDspKgLUVtmwkyrjhotH333Gw9YnFW04K0M/yUeTSVZwsiPRUstY6JxDd
-dAhpjEv8hh1nawSsnLAqeIE3SJGTiYn7jrOGoQfOZYn4yrnjzP7778/XGhdI
-Ar3mn1BTIA6BEQi1hSXXGipI8hKwiM+TVQFPsQp4sjlDmL2a79XlsBcXPK3p
-PR3wA/0pXYqjYw14vw4hluecQdVxV+e7Cx3Ab5QLBr9Ll6ecV9nTOmQfw72i
-g9x59xArAPgO3efP0l8HHscF5KFnfuChAnDV1jqp0PK1V/BYqz/ZSjTij6nd
-d4ejAxJfjBIh8i7SRv+lQUgCAqBUnsdfvNkaEQBAX2Cf1/pBcNyNvRbiFZad
-ldbwno69eL6ZwDiPPHa0rgHxJAThz2PTVyUSae6eOb+0tkAQUicITn68Fois
-BagSiUT3hWivBJYCwkEC4bRCKBx9xXrQISwhHXwClabu+KeiJ185TyQEtCFW
-wwNHzvKXviwnNaFwSOQ15Il3dqQWKIubnaOncpKVERfpkDB14mWkUigf1i4E
-tdjOHdaC/cIKwdIa3lMB2VcEJM8Hgjr2yP5JDLxk5YUpITaSFSB3cXNZVASJ
-R5wn0vvaG7SkuXuBcCRKyx1lD+gCi0YJw5Uos8+Sw2YmiDUFCqNSIBMVHfcX
-7cH8xnmsXV5ssSrGcYsX9Mx8EbHjILFeCWBlr0SpqEQ6S+r3B36sl5wlCDyr
-zQhp5iIWE3rszn6CY5JPV0tE6Bho8D2ff+Sx202Gbu/iUW7LjagdVYxoDa6u
-Rq5TPKVQZ6bOfauGeTHCLW0DkN0A3t1R4zEqA0WjwKPjxyjj/73QUstvpG6k
-VQOU9XgnOY4WeKGYyNNoIC5ZW8RhHxvEC9Mt3R0hiEPoymCB9cfq8/NY7T02
-HCd806PF8ZaqgSgq5dxVPrHnmobO+2iIeyG5t+jaOg32LVabljohVAEsqwQy
-NWMdirFTKlblbvP96pHj5tC4peDm2k/0yA/aeXxzeR+9dvsS3WdeanEDHhd8
-lge1khcRoA7f7QiBXrPaixfYkLSUFa1MQnJhbiuy1otlRa9Uphz6hua5FksC
-lfRXMOyiuQmjLA4/HV415iGT7+Z1qctCpwUDvoscvoc/3AXNxFTXVAOVRtsl
-9BZhwBWzEElPVMOsl0ZEQ11qb4yyZg2zZG1uzwIJSLrCbl4McHC5CLbTIYwv
-Ybyqhr5bVzo6SkQAXmzJCoF+1hGEpIhSdJV2qqjPuBRis6QFwKeRD3OCPOrP
-NruR77xNf9stgyPx31LRzAudZu5XMMg7yyDv1uUgF2jja+skdhi6Fhw2psfC
-kNWdHXHeJ7c6u1vIx+1dkRgq7WPGhHC1H+VwALqrjaweMRUHHmGAOgB7T+zA
-odP10OkduPSXWBimZ3R4kh9fURIqN+6bsMdbZVYAQ9TtGycxIg7pWhFnMV4a
-bM+zhCzla11C+L7TfTpm3l/JDriE7MyUM4arGggGG2Z4LKt3HexMGlAHe9di
-Fd7sx3tSyKkWXVPH0WHJoGmyjTWP5VjVbqh3ycMRT9R82REv5yOnFv5FiC8r
-iF5sKas3jiGxA2t5dw32dufhLIVDzFJAwxs5/aD7cGSRSJR0X2gm7D6Wh5cC
-MxHnDnZXUs0LLDHECAujZHQ/zz+IpKHzLhl93DcMfsz47+bwj/fYeVcxABuD
-xp+411gIQpHCLxKFnaIA/lWiIFXz6aQM7K+pizVhvWhQbIMJi32lAtmlknfN
-SnkVYKM1roRGpQJbxaeAswmRxFS7YHwHRR2XnDbA3Q2YwIstvXMy4A6Y3iE6
-gRjHyzzoM3TQZ/DNfpnHbEYwZjOgB15ukdE3K+evbSafvxdvC27ZOioHQ4/D
-cVnlAtlhcUgK+HzFSreV9YCQitZYis8twTEYfCj6cPA5Xjfl9OF25AOFbych
-ZdJpO8rI75gdefu2jrxT+jryXMkgSqBSFYEMBEDiEWlXSqGmQClYU8e6Ma8P
-xAMTrRqa+rKTAcFzydn7EIKMzb5Wt8/wIRka0zoeUzIt54+wu9xrek51yGmI
-zeQL9uJt5YNr894Ye8sqPm7cecQLxEc5hfUf3NC/qCosDkJGWdvDft3SFtEA
-PWXwkbN5Jhh85fc0/qIBskbAzh/LCIDM14i4Iq7riSuD8oKwNgtCKasC0lwU
-UoLRNgpZyAOeg813UpApRcijXcOr1bF4F2EJnS9FmuIsq48J9LXYV5MbdTwH
-ElCjg2qWteAVnvG5ZRzL3X+ctzT3dPBBEJBbt2Z74ARkmcpBjLdS/C9apcJf
-xKLyspw9+OKI5Y0vMXaaLUMwVIqdxCcuguRYZ+xEhi1ti7PUEsup1Xif99yn
-nCZS03nTYGcwBmSZIEuMiEr0/QKSyIEZDt815OgiPEASGK5iKmelRlIZNaHU
-uCBVoDM4qtmjQFhSTaV1oTJ4zKrkxTvrRRQgLZAYVvi1xSYhtvDXMcSw98Qj
-fWhZKyzc+SOduJDoxLo7Ky6kXLE74d3Yhf/40FjFi16qkI5kCZQrp/e64wLS
-AuKSBFzWQeIlYU6Jc0QQFlrS4pKGLBnPNPv8bxDbsVIy5dThzrAUSYmIR7Sd
-Nyxhkl4MS8l5EpMO6eVK3SpadqXiUdGChCD5FeoQFovu+eyOlY1EC3jDPI5N
-wsc+X5eVjUrgKgT3rdYKhQcufMnMwNMzD5M7jgZJdcAyqJtlrXTa5a3E4Drv
-GSJDuP84fk17zZQLRpidd97Zi8RD63TjwwORWA65kccpF6hQ4UuWt9bq6Ze1
-lJ2UOjIDiXWSTsJrXm6ln8Pi9VIrpKGVYdJqdYgQEJIJs7hFRFpkQjLEXNuB
-H6oCgQMI4awyBnphcHmC7UUYtlkTv0wmBcIQJWEp6lnDfUFwGvgeNgeQz36p
-x6i2pRwUcatccEhFggn5Cp0WJxXWnw85RCkQjcCms24oB7Jg5aMiul9shhvy
-wGakCnknLDSyPXXM7fjSM2778rzGOHXiZnToilbYnSkqHitaeeu8l32b/Vk9
-0P84NU7TC6cpO6UU1LScP7IEoYC+gBC92Gp9U5UBhtttrDillOup5mxcKQbV
-wIjtOdb5GkWyIBoh2mqNvkaWaFxdV1JxQKWlFYe0K3EoBRpDjZ7PAqkhqXXO
-ZyAZ1nBkw4vsYZQLhCEu1hO8o1teGJaxMCwLlQXJQMTjX3YD7oWg1oqCjKbX
-FfQa+zDiTk88vA7vw+cxyrX4j87cCUVjRWPKpJGZE9C7oWjE+CfG3hq8SvD1
-sQonlIVaPJGqVFWNygtrzFZRH3mRub1DVAaLjNYUuFBkiempeaTJmAVNzpwM
-zNJUlhyVmi2LpUaCU+mkQGJQa1hyVbxRtiY+6Up0umCw2USi9V8qvrrW54W8
-o1Ycs7CBgMBTEJ6niUDPQhxDLan+CAwKtkRHJ1Arwha658WJVESNPlqdUiVG
-k0iMFqwjQpOIUJDA4L/uuq9z5hCzyy674FAMXCc0BPbx6eiZBeqVVnmPxanC
-F1IJlN4Qoboip/wukxoWMTZF7M+3SiRMxQihLh64J5vD6qTHmEiqh8PbwiZb
-9j5A6cXR2W4WLElazLtFAX3N5ZytIVJBSgoEKe5KkGxGJqzDCnxh6whBlmyG
-XzKNnqhEsbo8PpvY4qoPan2gycuSKqDEWaNKKCehiYkLTEyt2oYVedkpqexg
-kK0awmDnZKesckIyYCYewPKDSNUrNLD0L+7FrCFmwW1bB7L2CsvVLJWhWUNx
-Xa9AGl5t4xO18clUqDIH4+SJ/UJixexIX8D7ljMJgji93AqC9lLrt4mUuEF4
-1pCZtWXQTFlXKM3MObTejhCbcLqhU1xtXqYcueFpHMxw7ByncE6Ik6iaNcVW
-fHg9cVPTXBxdDFs3lzPLBVHyac6KU0xpTqJUQ9Woe6F8Jc0pGMK1YxuWy8oR
-9NhdJQoSM2XSCB45UTM1rGJwDcRkWCoCacIRtTroKk1WEF5lCvxqGyRGhOHC
-kVZmIF84y8qF68pBLDNDnYDRKV9r45PIx3FqbCp8r7ax2PEFtgWKsg0/uQ3a
-tQ23dVlrVqyeE7HCcDFXrtJUlSpNFRq8omYwwo90Tm4XCdbUUeZFk+tgXlmw
-Ui9YWWWV11OuVjAJhQlBWDvtIHHh2DhXB61OlHiPHHwJBSrNCVQ5739aXsRa
-KnFaqlbFxkZXgOieakmYzAR2SdQRDR1miqJ0DsOO4RdVJGrE6ZJAVGT0cW8u
-HCljP3so9r3G8nO7ys8j6+LX8z7zeps9FjLyOmTkF5CI1/ksF40Mz0yfKLN0
-sfYKhLTz3qGxkyTIITywF/NCJCk8Zk5T2H19kkfsCS2seJRNziM8lmBN3uQ1
-FcjQBJEhmbJeDmUoNHtq9Rzd1skZTyHCq2qqHEiTZJ8GR5L0S931ajl66vJA
-ieqjQDt5d6zclW6KfYQvl1ZToxfGZtT9cqHWXEwtdYJVw4JVrmLTqsGYHXWD
-VCXeYJWqJAv6B0oCcvoqBpLFg8RHLnI2qxC3z4oWCwq/wcIDJ84K2aPrOnFS
-SZp4IF39G6yh3sChnXOG8j5s9DrGoSU+TSkjZYF8duLKVmRE7PmciNnagDNH
-qIjVhiIW6CoRMWsCBxXImDBybc7QVelIZlrAoBzL2vl7dfgxofYSeauwq6fy
-xtNT8GwpeMkpLVtN7QRNQj4u8JMr2ZLAT778ylUBlFwUzaf2M669hnRiJ1xM
-cxNHnDJOuyNTGTZdUVMGNgPbFwiZaI/uXlxId96nAkbPVtvQa6+K4lCKAuHC
-4L7BGuyNdjPl4lHYcFFvttPDW5hsjp18tfRMB7F4icDiAuzGhhE27DUVON2m
-XDiKpRzvsuAhjriiDQoukD2lXYHs8YQiW49kncInM3GEkhO+0FAWCaCWCm5Q
-wOele1UpYyU5O7o3x4eKNBykTKXO19FP7cg6iKzeygVSlwTOYKDXEidwNqZU
-VZmQTxwiC1D2waNQ9DQmzEGDknjtSr3uVSeskw+pcuTYMWNGDmr5aquZefUG
-Gf3GPIsUCY1nDQa7m+orEgpWQBwjOWAc72DRKluZm6oy9/h6WfnCp6ZcQrL1
-djs2utKD+ErnrWV34fi32xM+PsFHWVjpOaRjAzwF7FTxg5gtaxMalhezRYGY
-gfs8PsjPZ3jShbLFkiJF2kTfbCdMB2IWtq7Rnh+2WU9GzGx7Mzag4yoQM66i
-Z4t5hmqwKYMlApJXciWn1Lyia5aK1ZILMohgOVoW56YbhmSMgwylvJhN73Bp
-aFvVglB12VlJdaNUyiIvXCpX1ucqcvJqHdsSRZGCfTs+T4IVd2UpayFgFVU6
-VrWpuUshYDGkARJo5UJkQ3aXZPdb7WblE+vJd92xDQ5+G+/xFf+MFNRBa/Oz
-eZdH4J3B9PDLwSU+aoCc4dVAral8sVszay35f3kga7kYl5U1pEtswVUSTp16
-JGNO8bNZ3MKKDGsQw4oMFbd1i81qR0D/IXHmySZsInSs2ULBi7NyZye9Bw0h
-6LKE0vFNO2tEkapLlLdZfZfjbV74XG1skIZKg9yJTXKWHPe3QXCbA4EEptXq
-bWZOvZUK3MPEPpJ643FleSyQytu3tpQ/MK9i+mqcfsO7RMCmXMzELBKxS9ha
-MlF7U2UzYv0lwiT73mpnvUbYcLJ55zYkeO0QPkghyyTf7kvZJq8cjBvyq8F4
-Jdu7fBze++VgGN+3B8uX2I0ll7bX29X4DmCtSH6GRm6sIW4rjIGEkqudJERi
-bZHwE05iH+FQm7XHWZvcnBVeDo9IHERbyVUJ75CcujRPNDELbeL5BW6CeCjB
-7JOUnQTHOXcEWcPENRBw3QFEgktOgtNcglCm3GQm9ZR9vUBBwdgMLRhLneSW
-isIhGtZcYYOmaoMl6sGuKYukCKja3EpAscj3dHI66bQdWG2qX/l6RmDnsN/K
-DsEbLLBWOJXSOeFkMwyK95aKKh7fVjl6W/+DXmxHdIOEc+VTKrR3bWs65w9j
-JUqmG8JqJh68NgSVbtp7TF7e78Ar+9+vuLbCy6/I+y9UVleohn2VZZaclH4a
-QBqaI40FsmrL284YwaLBVtzLahIac5ZPNegtBQIqXci06WIXPapTRxtJQLEl
-TsWyQoXFUgnlywlVLIQn227H00t1mZ2cckJKxbQUKtpMVbifwuEVbeCulDKl
-j1bDJo5AlrwTnI3tOrfFZodmDhHlWi5QpIkq0oAnKkfjmFoot0hjIyLCMpsG
-Di7Hx8TJcK5JoDffDPVr59y1cIK3nAgLkxTKWIa4xmrQybaTfn96Pf/dl46K
-IaU422Xk+Fw+GoKK7/sA1Rrvd4j4ViCwJK4dXmShZl9p5yANQshWrUI8nahm
-iGd1DNCKaucU9XMey6lVF8bJqVXva7cWSK3EArVDSWl1JKt22O733Nc81+3P
-0om1ApXLjtBVXLT9BIuzyDSTUyiXKYOtTAdx6pyyTbXhhy39TEJxltyHl+e4
-uC5DmyL4utdqmUYYJ1eoJ0WZsWMNlZCourzSCjAEiHLqooW6MWdgF7tLUkoX
-YiUZ26k/2szSAw4Flj07SC0zsNy05H2fBNJrpTbifRUW3rIoUjBSZgPtoiXf
-aU/xIoYQCh0oMx2Atj31uM1EG9+9LaSW5RfB0EOI2V4xGiJtzK9p+w0RpF8P
-kf+hkUW0+ZRRvXwNkAbpXUHPL7aJ9L4g7pST7peD6Dbed25VS7bU9CmNdvPs
-8Ox8YaW7Th8/7H34XPdsluxNQslO0EDz8UgnCA7MHs7k2Lb6d+J8ZR2+O1TR
-VeJ8popzVNVQrpQT5lJ+rr0tKgj6SgRNrGIXHo9dcX8pJ8o1+Qq/sAbAyTI7
-XTU25dbZ6qKUmmENWC9LcJ7AzrxmQzpk8oV70T56bXMbErMuacxafapYFW5A
-ZbGVVHahaflb560lDlWFyYHmIh8YpjKLe/cuSyq0569k63xwmOjcy0aLpNaY
-yZfsbRZM31Ykk7bOBcPkTAuHQ2JjiG5EgvvhEC+4Vi+/2yEU4rV2kchnW0Ry
-n4NktrJennLeSC6Jczo5pLrPZamulVymvDcPFom19W2Pa25Gkn8LIUoL8sGB
-ZmUHmuCzm4qwTqf6tg6tWIrgHtr+L7Jl2eWw3CGUdtXdkjw8qCddZFNe2NMC
-Yee8dZAAIkHnyk/JDAkTKWcSjNnuEj6sGurt2BXmxlqHbTM/Wp+fEfsknEKj
-Qfqw/GVIEMmqaNVJJ8ixZc0adSjiIrFDAGtlsuSIppPwc0QL4u8SMxeNFJqc
-OOkvB05bRkXHSocRoIKaRriKRb/MvljqIgpMFd4dnELyhWikLLok9PLjHh5m
-hZ+F/sMODwKoaFLVU64cDRXOwh9jL07h2Aht70B1vw3fbzUICQT/cRqqRyDE
-LQKAl3EjSPzxNXlCkvXzYq7bqmXPiqt8b83J/hNdyH51pMJlkmwu3GJBEk12
-nsE0erjCfjLXyDeXH8BLF2kT/zBdFAg8tpKTeclZuEZiIv0lRjSk3bZHVJWv
-AY/EKfg46IulE2alWjAO+oZY7e6LixOtp35BVLyKvp0IloZS74rELAeXmlAX
-YbPSX3KCLwnxskuIazjDhjbirqIaJZ8nqHEAwIbXLqB2gM8deQvAXEXYdUUo
-iY/TOv1P4s4BCOj/d9B6lYNozgtcyTrlV4NToSW0L+oF0RenEHJvnz/sYLmf
-/DPCwAzCwG8FA6AwnY8MVwh8OERRZH5J29u0vQFwvT44ajGfP9tqvnmC7uF8
-GvX7mgQCixkCpvPuoTrbJmAtXXByW+4B+Wdu/mhO/z/a5IJ1Ql9SdicDCtPu
-KYmratwwI/pYS+aNSAtCehWLvi4TFIo506imnHIvqXijd54jwiTiUO9F4m1L
-2MJeGLHtiLGkOeyWWcpSlzSohdapEyLXtiokMyHSToQqO9G2mwaRE1dPVArV
-uiu4GJIENT3qTopUl71U11ZJNZIRCMpZybaBOQmAlB2LSZVtQ5UrlVHtPQ6v
-mW1XINClIPgGqQZ3Me8NZv8wVq8RMs10+/LR4kNC4X4YyDfL+BCWa5bxe7YV
-UtPf85wP6O33h4hqfwMxEXU0lwkl/8fDg8xHdzeYL6c3soCvfhKCCyreZmcD
-8awFrmlaGtDybxdw5uUphDkpIDRF4izZNDthCF3qL7eHdy8WZ12SYxLEeefN
-+sPGYDBVb8c5rlL2sZMzhzvNbSvtcow89QQ8lGqdECkTRHlSvO3wYCvlXG+O
-WMvistUDtmA/Def5iAwLMZEgdBjXY0/T5kACZS2Fa6AKmo+3m1aGsGyXPVtJ
-82LNyhm3RWsAIOEk09bBZGVdcWKdMhtPfAyZ1DTnNlIINNPxlElJN2EUpFI7
-HxpmiYmTWkRFeN+CYSnEGef4cIgVaBX+Btn3/wLlTYocEg1AmPeGMEX/khzK
-b0iKv16kDiWp5lW0/W1Wo/njDQPNvyYPMKtnkVQ/BkltYTXNE6P3GydC3T1H
-Wqp9TZvCGy+t12R6I7Q1NPcCTa2kBayF08Bcp6dirRGUfSJpWwc/E0stHe/F
-O+tvyhIv0sbVPNZkppyu9/KW9rzKhsgEMWzOviDdXLI6m7cMPclJeykn7WHP
-p2QNgp6G+WVO8KkKTwLtHaSXSzb3J7XeRXFBW+VrmYjqbRb1si2sCsInHAhM
-1yTgSVjQEgWeaDZGzQq87CQ9Dsh3kNZLHQMvByQEMltiMefghIo5ySq+7gP8
-bGLaVtCH8OHyoXr5HyzFMnVS17AI8Gihrv9J/GM18ZCv6fnTexrN57NJoBc0
-mw9+PtD84qy+5p8QclLdqx4eJEK+VLiIFBPQKzbBGbUd86Sa7lVCzhQd7qnN
-H0LQHx+k0h0Iug2rOEHPlUeMz4g8unFh/VisdXqnir/tEZ4pW5XQeGWSYyeP
-NVWJflzAVqqj4qk6ok7JP6O9zXO8pWQrpn1pNLbUZW48C0/d5H9QVyvqWjUf
-TrO2E6FyDKXkJlA5gc/QFF9jDFEvFRZ72WRhtaQnNp99sZbqzFkLcp761KAP
-ZodSHiUuN6h5v3cGc7RQUi9Iw8DrVPKdOiVfgtynEGFhJikrZv4BCA5+qLtH
-icir8+ljhUN8Bsc6n++LTke4ccG0bTnew3SfmMrvSJ9/SR7oP0mXryLx/+TW
-evOPy+rMY2f2M6//tK/52xV1pOcbzeoHBnkvdWmrYHFpLqC4uFDJx5w+r3gI
-LAwg8FjAzNMCMtNRAAFZiSiyU4tyxMWuvBXZbM+jfPrH8Fgs7bEqesuwNHsa
-uxxQDEH3Mh5r93/LZMr5Rgg2p550JeupzgK2sh5MPXO1aVXsJdUpPNl6fpZw
-eeScj1PpbXmHshQWm3FJGErKbIDRUnHIeixOJVR6IuL+pivhebM9TDiqnykZ
-nCKpZxYTcViRJV4z5LZ6YyUeHUn/lbqfknd0WcgYjyVN8nwA8f8Qt8kGHT0y
-WPztMR9oEGaMZ+rvafjxHcXFm4PhjJqHbydcTN2Wfi9dxwWjzHuEgU8fHGQ+
-ntZgfnVlnfnoxoHmDxf3Nzfs0d2sOK2P+culhIl7G803cxUTIDdLWmUK/11D
-cq5q18QH+h+A4Kn9CNWwqwpxfNQmPTU5HxXRoCEF0JD6kmhQMTR0LThxUQ/s
-yd+TMjRIeH6qg8P9pQQYTH6aRNPTbsJH6jAhOt+GIyUUmUNHGJixuaRUPddc
-EXG6BrKfBjOsbEY0mJ5ZjJOUcVIblmpmisxtQEYnB6hBKAVAQZ4osAKRTREh
-NQRMaE6+5CARa6FS6KBqgQgAoGRewy18wIPDBAOJCj1zE+L1mnpXKxC7HCd0
-gw2+fCgOKgSfg45E4Il2CPsfHrIhEX37/J59HiKwwro/NjiDDUn9l4n2kzg/
-cOPWUk1IYv3W5XXmXyTy/7ml3iw9r59Zcmofs/zUvuaWvXqYF0/uY/5wSX/z
-zQyCxByI79Mt3MRSEXHnkBxJ+s6IwE0Q4wBz8TDDAfegiigVQUHWOSlaDxfP
-dkHDEAoMPIsHMhEhHmLFQ+etwe7QBU51xZBnMrM0nhmUz61aUNjWfpi0kYlW
-5ib/dOkaJNqMJtfizNYCluxMQ2FHqZ016GftOH9XXQBnM1JP+zk5miFEgAUB
-Ic2VTnXevxbG6c321MdqEhZ/hUOUOgjEgd6HAXHhmpjLTRLv2z40LGIIpMx4
-yiL1LjzTYRlQDAiwCwCPWxARQGCIrw9IxQDYiPyb+Mo3EI5cjQgONiRS4e8+
-1mL+RHxo7jVbMQhmH9dk/nRbvfnb9QPNrEN7mjsO6GGu3627uX2f7mbJCX3M
-/7uwv/n67gbzDfEo8xSN0pNqE/YZJ7O7qqVfp17XVCEApIj5lUwtii0IHvMg
-KFnH4SFfGFO0Tq5ofLv6cmalk0ji/C5na5cWByLIzFgj9GiTkKcajtuHqAAU
-mC5x9qE9LsBDkseDnavr8ZCzD7GbVZmsoR57Ta5yrvPjS45nnT/C9WZx3TfS
-oCrRz4pVVqFBoCQMAkmeKkBIt+qAJod5Rvk6AiJPBA/mU7EL0ie+RCt19YOc
-idICmFRRwr9lDewoVXMx5XIN4lsH2NqND8GdOBQPy+CKDD5kpjQEMS41Dmx+
-Hh4eGo1IINksnIkNhUY5O2l7ngzFYnKfX2wzq19qk4zWvCbz25vrzR/vajD3
-X7ylmXTsbuYf1w4wH5CBmHd4T3PMxmVzy949zJ379zDP/Li3+fD8fuYrOvYb
-Mi4cIX0CjWJasVQQ+vou5ng0zvtM3mI0x7kVDZx/IbEjbzgWcrRfOFTML7NE
-yjajD+t1FTj1/q1cD+SiiFIq5uSAnlIFxPUS1qKUMvhRDOEKq4p2Ul92VjA5
-OUrcwi6dU7tcG8Bme0shfGSzPbdS2yL3xRbpcyqdqWxAFTAJysqroVLO2I/A
-7yi5GrJEbUhRyN8Vg5d8pOhNmdUCW+JjozFjpBx6FQ4vUhX27mDxJFIO7Ciz
-gtyWneNgvQwtG4u9d13r3Wi7fTjE+xTyP39giJiQtd23sCl5S0vMYDusb/G2
-+BVcqQv/+PEW8/XCZvMZ+dAfPTTIfD5/kFk9vdH8afIA8yvStI+d1cIT8X/2
-k93Nm+f0Nfce1NMctUHZPHpsbzOduMnjx/Q2753bz3w2tcGsuodwgqwxNrSL
-5TkR48SusP/dksdJaFvwQ7jTC7q8oK0YGxQpWfOgeVgqghVIC5oSBQ1Zmgld
-gCYwIQqaNOw51tUir6P0UODGPNJocZN6u1NizADbdivATZrDTU1+ArbOA3LL
-5aTOzJQUJ8F8DIcT77BHQdsy2xo21X5eL7sALUpWlukMdg8X8c/D2fZJvtDd
-1mIm4azCwoArlwb7qRNuao0E0Qk5tp5c6h/KDkF4GJy4kjR8OyZSwBWXrC8D
-iCnZweO09qeDbUutAkgzCxqTUkL2geAlcEVgZcTzHpX1vIMCIJnDQfB6LciZ
-AS3L25mBrQYDW9om3jUh5pv7msxHt9ebfxAC/kLbRz8faFZe1N+8fGIf8y65
-I7i0nx6yrbmYEHTlzt3MqVtUzGxiaTMP7mkWHt3LvHtWP/MJsbevCXWrH6XB
-xbbYoQdEBCPJiwBmkGMXvyq5flnopsbuyQI/+YPBIuwsa2VCeiaAqVoMk+Eg
-MSutjctM7A0p29pVRgaAaYydpQG46QGpOoGNllpkYcPlFk12Eagoj53ULWSp
-ZUaZaXO6nlji8JOGrbocgJ7XNVPiLtsf5vBjW1sRhvJefNxVei5m7z07F9zT
-s64CudUIgr2RaJfWw811KMrhJ/XlyWUXzoI5wKZhrMQBJwFw2GXHRS5wCQxc
-wgdcq/yBoEbyeMN94PZ9653Xen/FGpe3BqvRXYtTyeSscPClJSJkPtNqVpGh
-WUUGZtWDBJtZjeaTOxrMf4iA/fWyOvMbMja/ubTOLD+jr3ng8F5m8U96m103
-H2nmTGwyFx26CemjXc1h65XN9AOEnD1wRE/zFh37n1sGknND0OHIbTMbGTQq
-ZcPzjDo1XRud2JaUMnzaLbWWsJbOPlEPn7GUFnA08fDLRYua4nlMCKBKaHXs
-kc4tGheYnEWX9acryKEIoqY90MhCssXEG1ymp0CyUwhyFiipmtFiFyK1E+yb
-0yxw0hA4WjcdF/RgkFXHFDOJzYKgjdM9QyxucojJTLPSriuMmDjfRsNm+lDy
-n2dqPEFF64xQWGRno7ClgWMzdy2LGSksTbJgCRx+T88UNbHjaIyUiiJF03vs
-nHAcF3bmfakt4v3eoMBH4lDZm1p/8QabshXtUTtHcjlU+Dw8E/r9yFQTKFbP
-bTJfz2g0XxEwvryTtjvqzZ9uHMjA+OXZ/czyU8mmkFfyzPF9zMNH9TKX7tjN
-TNy2zZy/Z4c5Y6sac8WRm0pfk/07zPNkf+aQnXkNmRI6x9d0vm+QLFzYLGEw
-sZqMkWdb1OEvheYlR8y66+RCUdmdN7Zbj19Aoo21YFYAn3IBLxuW9U4YAqMD
-dHDePC04KJMUBybs9kijMsOU0WtpWOfN7czQUoZGKQ8NzqkUhgOyc2lsALlr
-dJTYzQ9mFsCaREUrAcSuaC+xswpsQ62gQNUGwzwtU6vijUpJa5eCZDjmEGRy
-Ja+3aQZcK1HbNVcSJMODeflaf+fmTRNIkixI0jAqRhQMxXeMEM4Hll0YLPYT
-X9RjHybuCa6XjEjg54jzXg7qrgMn/lVcxfL2aISUXT8rG1/kEy3mq0cELeb+
-JvP5tAbz+U0Dzefkr3x+zQDzJZmT96+oM78gn+SV0/uYuYf1Mk8dR+biyF7m
-rv16MEp++v06c8C2o82RG1bMTPJnTthzI0bNQycNI/+mh1lxWl/zl+voXOT7
-w1yZBbY9adCe8lk2KTG3m0vziIkzjXgUMD/PAMYTtAel4E8J2sN2n+VmIzwe
-XMnUqDxoSgV+f1glxZRsIYNlIZuTRozmXmoAbmoP4suJYgY4QeLF4cYWw3pz
-Eos5kYVfdOJZyNCiOAucxJWUxELAsExBao2I7V2XNyY1MkskKPoLQOPbYaSZ
-aQwEnRxkYiVemOXIOtK5LrafRUXmDgbsK5zfGLsIciRzFjg8rKHkwT6JkuiE
-Gk+7RrN/oa8ZMRXn46dauI2wMkfIgvKpKZeOttCIuTh7Hc2FDJbnt9SVXy7h
-Lq5QfVycEvOwxpyuG2w+Iph8PZsGkNzzv91ab/5MMPnzJf3N34l1/Ydev3Nh
-f7P0lD4MExiM2/fpYe45pKe5jIzLdbt1M8dv3d/sv80os8Pw1Fz0/Vpz2pYV
-c9VRYmiuP6jDvHxyH/PHaxQu90O4B0mozM58mNJh2VfsY2O1vhI2WMkJYLFd
-f8mSKBVTt/9Rti4YpioKVgSSkSHvSkLOJaUoDJywMnbnTYlxLVCQQGP9XAPK
-dEEZxz/NQUT6i+TNShJMAbLVh25KfBquVqNLn1V5LZZt2VU9NMMYF6EkCVGS
-KSl0aLkXkOAJP0GXBddKMXE5llhnptnuLkCKnePjZlimebC4nPz9PiefuGiy
-2hmZija42LogkhzkHn9lI2OZtGPFhY+FgGlEWDPxUBa/6uAz4ZNuBhHPZ2ce
-hp8J67KsLVrX1cOyPw8rgygvONIcGsyZjWbFZOIUPxxr/k5W5t/EyVZPrTcf
-XE0WhvgYeBUy78iuADoLftSbOdn0A3uYCwkmUwhGl+5Yaw4aXzbHbdnf7LTZ
-SHPMpjXmZz8AhGrMJQSvbSdM4Ds874Rh5g9X1jHnWzW7Ua7hMSFiksLoyPn+
-zV2QM99ICdI7cc+xQshs1EwiarhLDwdzlyd4uGQhNCKEUMl1VYokPcNwKrI8
-smxyDdO1KacO48sAX8TzxD3HiClUtyaPqjSLqie53kun2Elhup1zwbrl9sGS
-7E9817lw1dHCWEBNtichekr45RCz2IqVq3HzWVu9WObMPTMBboQ7MrA4rmGJ
-NvmQBL40a/OAmrSX1rf4lD5nZKTGBciK8rQta4J8EnOwbToi5SyprzJP2PRo
-TaHM9wnylzojuWpafeoTkt9zcTFYIimGHG1xJKanU2NjiIk9rxPlEOUFluBY
-IEZGcvwVGBSY1CzEyghHhKWJu44xz57Xav5IvslnPx9o3r6ov/kF+TavEWuD
-7/LuOf3MHDJDMEX3k1n6+R7dGVfX/rCb+emEGrPf2mVzztY1fF3A2BMn9Tab
-jBpkfrRduzlk+9Hm8D3kZi8+f4T5inCL6DSbpoVinhyuPKZix91irvntUTVj
-mu/cw87LyXpADzWVC2JrowpwJQDRGdTlMLkTNq6XZa6zuZ9wdvWk/XuqvULU
-AnHzYcXeUZIld7FG2gKQidlK8r0GpE4+DTu52FVdQe9SXetX0RUH6wbaRahi
-H2kLViS0/tCa7VdiO9Br52g2fxyhlsIyjzJsifpFtisng+yRddNcXylgjfCV
-mGwHC4mzZeDFgQJY33nDwqmoGZMVkLzIB9fUlimfg755T/2dJJxzypHtjqgP
-x84ALSAZ34ZiL4bXKxJy5lgaChpR8I4EPlgenKCHsUFYHxwUdZgv5jaZr1Am
-TJL+d0LURzcPNMvPbTGH/WCMeZd8oj8T4eskq/XimX3NSyf1MdPJKXjjjL7m
-7gN6mFv26m7u2LeHuWqXbua8bWvN5Tt1M+duU2POoe0sRdmRG5bN44TMjdce
-bo7YWuYb7LjpSDP7uLX4jr959Wjz5bQGBJilkSRJyukjSMw4KfEk+0lPaCd3
-4X6xLa33dsv5RdZogPIlgb0y8xv5v1KANUsFRxdgbViItarFIbplP8EmLWwa
-09TUpDFBMmTa6YnNV4Cx5DthbJBgLJKps2rAIh97SG3tQWbh7Myqw4kvvAln
-yiYhxsKVA+Ou7FiaW9VBKzYZWSmbLXaZ8liKYpc5jW28+hftPkcq1WeRryYo
-ef6XCAkT7hcJthLGFOtUrrl33lPiwnEOWGUFlnOpgjo0G2xb10eigahLRqtV
-FWPFRnrGUDVWfuoIjNTqhc0IjElYYd4gs5r8mNVEAlFh/8WsRvPpdAnK/ev6
-geZP1w0w/yJ/5yiC1esX9Dfv0YZQw1Mn9DGLftybfaan6fk+MlowVjft2c1c
-vWs3Jn0X71Brzt22xhy3ScVMPaIX/0SUHcw5sqcZP3a4+f7GI1Wdp+ZpIpXP
-Qg5oAOZftKWgvMTZVYYVbQynJ1lEMoarJsMErYFiREF2H8wkgfjtBxsl+JBY
-vAXMcLTzlkIs8Y6eBeyvQ9kfoMNs7wYEPmB8G5kNKoTEy0rC1GqUI4PFIAJs
-EtupSWejWyuV2Dp/blnnQeQgFGtKNVyPWcoPNCuUFLWD9XO5pEqnlft9p9r6
-e3mmM/7+bPRWSNGzK4S2/V6rLNTCdRNXsBPrxCzrWbHB016IBLCcfSoBQ7FW
-MgdzxaMkLGQDdWO7Qhywlq1Omp2j9dCw2MEo2sDH4+wWFNcw0wTQLfVbToCf
-PlRWBgTte0qL8J+RIrNvHiIkgfbNa5Jg3Qxyb8itWnVvo/mSaOC/iZZ9eku9
-+Teh6gNyqX5PBuqIHUabGUc1mtfIML10Sh/zELlUKDK4auduHMCbe1hPTqNO
-3kVQdeL3Kmywztyqxhy7MV7XmAkbjDAHbdyPDdsG44YL8yA29/gxvcy75/Yz
-b5Oh4h4nV00wBpMHCFKdN3VI1OHxQdZKJUFuSBuNiHWKNUFkfRoN4cUWOwuV
-ID7EYfCH8hG9MT4i4Qp3huaR1cuTP3dgu+6DYZowBmSTAfQwYzdAFxHBInTl
-TFSiZaM2DChlo0GdT+BYlV1hj910sZPYUUCeb9Ts2vXJkmu63H1LVUVcYKl0
-SbVieGkMI1hKIino8R6rzcohy87yDW1WzN5Vmg/vJQ5bcVfmqqRQc7UJ7/Ib
-74Y8kN4TVufo3kpP98q6z09pVwoIy4dPvNMRrefA1jlXiCAD7jUFHGIV2pCE
-qzdv6dDodAtHxpEAXU3maxUxwW9mSwzjo9sazFd30zatwXxBQPvHLcQM6fkv
-kwcQ++tnVl7Y3xxK/tJdhzaapcTuUDF6P4FsFvldMGU3EzO858Ae5mc/6GYu
-+n6NhAQJdGcTMzxliwqbrxPo/y3G08Bv0d9M2r7WbDpqkGCuu1k4sZd5+6y+
-5nP62reuUdxdMYHdQlevID0hIm/B4LYMCrAmEUBYEsIbjnvQo826YfMb4dA+
-lA8NFqFtSMgJs6HB3gUWzbYRYqdrP3K6HlLcxex/JawIFHjRd0Ae7E9QoKrm
-LfDBujBodlkGNWpxfoEPadfqHbEAeOKIJbm6OobUdBDIKvQlir5w7TAba090
-rib2TTp1hxByUeJqhVLbOlwiGrxpNAN0mlsGBu2Avh2Aqa8QkqlqdpoaOgJp
-wLzGZl19c5PIZmL9Rxh37+B329B6T45rdN6vCvSiUdIEKIxvLBYHjIsLILQP
-SmO1ZjQTelgM3dfkeSF/+w3h7d83DeR43hdTG8ynNxDuCG9/v7LO/D8ycsvJ
-sMHA3TexiYscYJhQ1IDs0z0H9TTX7CpeGDwy4AmvQSVBG0+fUGNO3rxifrRR
-mTG4+XojzNGb92MDucXY5sgC78Eje5lfkLf3CXmCX0ypNyunjhXwXbMVx0CY
-dj8qwEsKMCc+l3h+bM3gd7FVa/TxxAcaxcClFptYmm2CR10mdpFFXRhN1JYt
-WdS1FKAOoAfqLPRKIfQKHLJEqo6k3wUMHEv8rZzvesLus9TSR+0Dy9fdr3Vu
-txCFOqFOJ9hFybfDL86v7jWdpbEKgLFbSie3MptkiMu8cIltgYhpAGjubkP4
-hQCEVOskUZzpjYKeXGkwf07yTOyXWeNXrporp/H6Xrb5G9DmnboOB7AY+AKB
-HUwmzgVdZg/zMY5lCrPnsqFDDtNdO5j5I2e2iK99TZ7Z18QbUZy9iuCFmT9/
-Jmh9Rs+fw0O7pL/5A/FJlEo8T+bsBTJr0w5rNHtvNYpD9AuO7mWm7d/DTCHT
-hoDHKVvUmKkEtX3WLjF/BL88frMKm7UfbyomDmV731OoIay/+8YtllZes3e9
-eeXUvuYjQvnnt9bzpa68TdF29QQ/X4Jbvkj30Nh1yEg088veGVwlxhnk+8FG
-SyYFeuKvIfx8ynA+nAfh5GFY1WCR89M48JHljeKRabuBElreoYnjKtr+SNs0
-3lsAyn6OjDbnoSiX9h2gGLsYf2wnL92cmbyUFgCxiIIm+QlKwawMjYzEmjNb
-2uI9uURns1q0ufXOeDVloZnZtRKHJH4uaw0vd4cV7Xgsp2zNHWWDNX7SXD15
-qi1jtNTigHFJV20HEmfqGB+lrIHjGECqfty7KLNYiQiIZYlBbzDJbMV+vtB4
-j/MQXi8rc7T1FE8KvBBG7LyeaNjudOtn0ZgRc0RHmC+IOX51HVmO2whmJNP/
-vHGg+fC8fuYTev702gFmJblR79P/vyAr9twJvTlY8dgxEtC4Yo+BZjaxx6n7
-due4Ilw1wAhW7Sf0jADIFQSxEwhix21SZqv2I4LY4euXzffXaza7btjCECSI
-OWt21V71ZtnJfcy/6Jo+v7le2jLNkWTz5LP25D6sHNl/zLY7TeR/rbZIwuK9
-iXvImrKgjAkLcw+N4DfiP7oh7Q5jfCy9Zmj6UKNEGsthwXho66Q7gkVVQYe+
-Utih7zeRToOS4zNzY3G2/gXWUdbgkc5li0jf4bpp86hMGJWiVwJExr6WULCY
-rZnybiHqcL3FHJwUGcc0Yxw7p3bEmhewC+fCPmbTA8XuoMC0JrtSoRpDZwDP
-HxmHaYEcNGO37oSkBMKVuJIqmPqGfaNcOiAJYSodE6RSXaoHrUHMwhV674Fh
-zinUZwlmVtggljUiadlshzyrTYw2ZS8PzNN1akJ4hTw+t+SJndO0rN2W1QqO
-n1GvD6mAhwZJAPMBYXbLf9bG3p+5t9F8QZ7fp9cMIO9vgPmS8PtXYqLvEHb/
-cFF/8xnh6Y0z+3I/hRdP6sMs9GEyj/OO6MnM9LydBrCpvGmP7uaG3SXkAiwj
-i330hmVzH+Ecr2Euj6L/YSqPJUwfuYFgebeNWszlZC6P2ryfhfLlpB5eJKv8
-V7qkz4gkoxKY4ax1K4AzzKYNtwyyVnBBAOXYB1xSxitwynZyvprOsncZ9xBr
-oVBOfUrBhTjHZekqw7pdwKkhTodRhp0HpHMeB2RPwSC1i60JSPvxdcXfHaYS
-D3UVv4TQ2MVGPUwHeZhqY4h89CZ1WTs1mrH2P8nB9Duw1yRYh9Y3+NHlnmtl
-ueegUguxm5UPZXAq0dE8WnmJH+kREaA1lrCN7ORmD+JHSvzGmlVUnNg639iG
-RweXfXi04rr52HaylqLSM+OTsdwR6zyUt5npvqUzp2jrnKNJudfwpa+2RzRW
-k0apT6zG1QITebrFCk7k6VxWoUlS4EQOJ+5Gnz9mmPnyjgZjpjeYz26vNx8h
-q3BFHRcx/olcxHeIu755Zj/eh7JfcNjHftTLPDqxF4dnYGCP3rbNHL5VGxtZ
-lALDBZysAAVfBQjhIl5KACUjSzfnqA3K9NPgOsLobk8ARfnwsfT6mC37C0B7
-mkt2G2gWH9/b/P6qAeaTmwfy5Hm2tfMFpMARHA4GKWzsgkEytSTxGYRueVA6
-w2qJ68Q9xuD/ogDp2gVo1H7Nc+nhIAvD7t+CUOauDQVY1amTUk88vwGbEIE8
-Lit5XIZFYZF3MZNvg6SP6PCk0UHZnv0yeyVZAyoZkM0CykyqIvGLsyZ+YVaZ
-qfKyrqpMtvLBAIO3bp2GUyVDCAYwjH27/ZS7svCMMGTPX4el/EV7GtpMYJD9
-SGszS4BRqil0P4d4HCCXaCTVGk7XjKXCx2/l67WwvTk4ZxnbdUbnWmwVZWm9
-UZ7hWhA+pwnzp7WXra1BgSM5W1J7MDudl7SZiTuPMf8hSUd916f0jPTe78k6
-/pPA9/uL+5s3z+5nXiL2+ZtJ/c0LZCU5vUcARDICMyJhIU/fvs78YNORbCXP
-IYZ74fa1zHzBeAFIWMsLtq9h9jtxI7GQYLywmPuMK5lt12k2R23TRv8TK57Q
-X5lvDdez4Pt+S9fyMcwlWXNzX6MolIfQ/+cUSKKzmhkLaT1GzlAIQxQ3CGC8
-tt3OzWMsItf+AKcSHmyyNnLRFT6QWoRKaedVgn/4QiRu5aORtiGVfrs1aNTb
-qqfAMX/U42bQ1iPSWsw1mtlMfDaAszOztj4tgLNsDzYE5jYJfVULa1eSJjXQ
-Ydgo8SnIklvPK8B1FGcpsZuLdvtgS4mlADqRYK0uJPhcs20sI9tSPmopeHAm
-QlTKTEyDrXWorgZ0XDUjLUC1nVqDOWg10ixA19tDt0j+Ndp0iaCd5qBd8iEi
-tyAQm0cbGZKKFalBK2ta362D9UsfPrJ8t5JDdLtEWonjds7k2oH9x0UbynzV
-F7WqLESzphbZd7WI1mrN1Yi83tPIlV5fTqk3R+84xiw5u8V8Sqj5+PqB5u9X
-1Zn3yaz+kdyld86RHmKwc+C/zx3fhyOmSDHOPKiHuZOeb927uzmNUL3DJiO5
-8BnhIKAXhdHgu/BZgWrsO3PrGnPEBoLqwwjVQP0+Y0tm53F9zH5bjzIHrlMy
-J2xdZ03s0QT0J47tbT74WX/zMVHyVXcoqOdI6nDKycPZ6wRHnXw2IXvyhCA/
-z/kPMVim8zo7aQ2PZYayM7kPK+rnN7KBlfyIKoMmN/PAkuB1stBiyNUItO6i
-h5MUlVfRNon3yntaJMpAnh5Jv/nvgOpMqKloRdm6AiMdO1PdYPVZ5MGtaVDH
-MPYcy8mY5H/GNdDsq7fxRpXTG9htQFs7CX673dYsTNARJA4agsy8coMQ3kE9
-XLJGkEu5qVs0p3P2ULsgOkP+9bZqmKddeL2C2civz4BeaonuUw+W/4t1H98+
-0gUAOeLIsP5vDo5Ge6z/QpdWeLXdx6VQQnCPdqw6b6TH+2KtJH1a8W670S8Q
-H5eBQr6tubvBrEbVNELBZBk//vlAc+QPRtM2xvz16gGM+b9eSnSaLPgHhP1l
-p/Rx8aoX1N/FHKAphHXCPP2Y63brDid1p258TWdtU8MxKpQXwM89UTMvwD0o
-9Klb1NBnDlq3TNg6ZD0JE+8xumR2WbuPWX/ccHMq6Y+TtqlTa97LHLl1m3mU
-aPz7F/bnrNDXpKcMKr4BfsIj4MysWQtM2axPnsD2WDBcdsfY6YoIAZt5EHOJ
-Zz2kqJ/XKJY/Sh3sJ4xjhr1uAdIrguZ/RDYbI6Wrr7MRl+N3oIeFFrKCftui
-GWdsj3woqyiePKjAdPeTj0P/SEnDAw3Ykq5wzrM/Gkk3agri1GGu8sElX/8n
-vGvX3KCwnMl67PoCNRcYdbzhG0VHRYhns4744gst+ZnmMjeQHOmV89c2k8/X
-RdhO+X62TC8J6h0Y7508sc/PlQXY7VzZOPCaLU8v5Xm69ZURgh6cBCiXduXD
-ZAFAsdaJq0OQ/2yYGWcejIKi1wswvUxWAkSxnZgmVAJv6DKojOknfPyZMa2p
-HQ4EAddgueQWryZ8rLqtntM8n5CL/PTJzebwHUab3xOm/0DG87fEyN8k+/3W
-WX0Zy08cI+VCSPOgdAjTxVE5fvOe3dkNvna3buwq4x4g7QMMA9uw6bDvExXb
-lrUfRJg+aN0SYxvv7anYZvuy6xjEwxItv0YpLEJn71zQz3xCdOOrWwZiPGY1
-4jaR60x8W6D9oJ8piwokgrf3gWMcYgu6AXSAmz/1gCA69lFrQTXtq1E+ELL1
-AOKuFFZAWQaaP4n8H9j639zbJZB19BECOb8/UltfzqD9RHp4P5Impg3OpLu4
-NZ6x2bRRCHj140PA4zdZyNeGkOeAvE0sB6WEUaxBM4W9rcbtGvg1GeBznilY
-9ZFsexy2BJNpjNUMXsotXFv4Jc1SbpG4lFPkW7GgqinWqPbKBzy+F9yytV/u
-GyQ3nFrSJdZ5/e6hrjF2ENeugnvGqHu3fLDAHfssXyd73t3D2hYbcWoYIP8F
-r4fRHm3jAZ4x3G3O5Z5yrroR04b60qTbO3K16oMkDgaQa5IpBLq5pd58Scb7
-GyLryO1+Ssb7d2QkMZXj0eMHkevdj6eEIOGERqcMcCLscMFRaQs3/C5yw2/Y
-vTsHqc8mQo7nSwj02200why+aT8GO4rZz9+ulgFeBfZ1ibyPL/MzYmIg8gdt
-JC1cRo8YhrxvZJO+cPXn0/e/dW4/8zEmC9N1c8Ad00xCtM9vUm8c4Ca8Yyiv
-zxpw4ux01wntMFDg7Q+ol66YT9gxl4g1/W9LnR7MR7HXK8B8Woz5HlnMz46k
-T/cHtN0YqcFXzEv2Kc3PTmGfniNsCmmUflj7HUK6zJC2v5lDDZxLCx3y/wLK
-3oYDxnz7pHYq9MVDED9bDeJSvserd8PFYLspl7TFStdXzhMUYyNEx9rqHmsh
-2YUD6TlnuJmjQ/0EGSltq8QMXZe0zwE5dXZbYtyVwAmXqFhIyms92S65EiaE
-rNXBZlbQHm3k8WsTSsvVWGvseso5I31bVK3DwBSpiXuP8wT8IamQ5zAaMDxL
-HG6EpVbDYN9MOCZi+29kdwgXq7AgwxV15kOyigduO9rMO6aJyTicb5DxxeR4
-o/kewmn3kOON6ZN3kPON5PF1P+zGtRanb1nhhPHF5IRvS1g+dJN+nDwG2Ua9
-xrEbI7ZNSKZh33FEiXF+6PiyEvOEQ2yTiRgctWFZ/eQ+7LRb/GGDk4+4+utn
-9zUf49qvHyD6aUaDhNrm6uyvB5rUBZ8PswITjf5oiIfbqDZMNvaL283IheTz
-rrkWzakvqhJEly2g5zuaHq4AnwN0hqdj6ubr3sAnQPMEi/SaAMWxz01nrbJW
-PUrNPiIIDzD7fqBBHO6Ud7JYXd9eFFBL3TzPNeAXmuCJJl/6qK2b6Tn5r9Db
-vQi9TLil+HicrhPeAsjSpwmwdEYY4aAZB8+JeYkr9z14o7wpLoemWIpEOPQ8
-NPS2Axyntu5KIFzmKquyK/zwi82ym4wFhOBmq7nVyn+kpPl0nlbD32+PJjiP
-2TJsu6wmayo0PFqci5I9qgVUP+/wwL2vyRmq1agLJu/5KwLuN8j0EG39hAzv
-Xwmw/6Dt08kD2HteSYZ35lGN3AYA854RC0fkDAkpgAaF9jC+N+0ps8jgTcP4
-Xvh9mesMdo06xr02aeWMMIztScS2MY/TetM2Jo7498SNxBgjogbvm8CM9wS7
-/ejwSga72288kvNhK07vaz6iS/7s2gGC2+kNwjXuV3tKOObajpOGe5qdmEk/
-2d5MPnNPNsBlBScD9loGLAAa8+6SjabJbk5qNbnEURUFZ/RyPZZiFqtgnKhv
-Xknb+d8Fs7n4t6I3k2bWVb84zbz/du2C4HkNbIMBzZOG+TjB/IbkfwFwzACu
-OL9ZuoJkKHW0ZhQnroBLUFyTQbFdeUZaHDJyHXDJ7mprEJzEZrvE8kqBCOeh
-q13mzpnO4GJgX7HecrAAGC+0wUh7vd3aytfbS0VTRF3jnNR6wS6KRp+rcXgN
-k1OOKS+DYX+5LRqaSRRz46CzRmpnzCDa9ah4xZ03DJYxmRd4xlizSwsfEeX+
-nHD7NeH2M8LtPy+v43bnyFn9mbxj9CeAd4zkMX4CcLvoJ7253hjeMYEmNrft
-0z3qyc4xYItc8hU7CX8GPC/YHjPWas1R3+tntt5gBEMX9vXm/XrQvYFFrWHY
-nk/2FDAGbI9U2CK9RY6zxRk+ppB1k9xA2zHN519X1ZlPrhkQI6AHnClqUZbG
-2x5j3TRnLuMgkQY7XnDlBEDXwdax7rmM0djSZ80/w/ym+C+1EaWAPYvH7Jog
-huujal/dEsLUz9P2a9oeURYdUmgwartG9rpVFDobDbOzTMO8dA85ldSLXNjP
-I/ckhLbgJuAntoVJrv8WzXFQhulKv25pj23uOovp7wppDYQpijniM1Zn2a2c
-S7T5vL14E3tckLouBnPiKjF9w7ihzjEuqwkuXCE+C+rEgZpLvxyesZWVZjPg
-2Ye2RR61jih33ruWFnu0edv7Ettf/J4X2qL1eHUNCSaMECzbTutPeDxztooc
-YIh05+R2F8E2ZIO/Jhv8BQqYyQn+RPH8nyvruJj5N0SeUXGJjtQg0q+SoUOD
-xD0njDJ3HdrAfUSRvZp/RE+eQwAQ30iOMGwu5u/cuIdEv7j71QTJVqEw5IjN
-PKjh8JKtDjENjo1mvwevJ6YYhV14veOw1GL6noN7mhHDhmUwDTaADg5/J230
-8dXA9DSwSfxg/HD5oDxaHAO9sXJlxTRDN9XHDK7vhzjPc6FuMcUSGCtZXBPg
-LYnW1qRdLAebSTkN7BquQwtYs67f5uDaeU2buwnyyxoyAe3/AquxrdCs6mrn
-13v4X7EqFSaWPM28bP0Y4ISlJaiuscIkC1Pp67isVdaW9e0eLxjp1hUHF870
-QUXUKg493tdAkl9v1+ZbWjXtar2kYwPHpGxPFFcDFmfhCkbOmM2aXa1QG2rx
-apuSLm2NxrOj6zD7VJBpekz78KJfyHwNWM1pMlNOGMbFW4xZ9AO6rZ4r/lH5
-/xGRzo8nSxEXOPOvL5CAFbLLsMFvk9P7MtpsHdvb7EW4ve2gBiat6AOM57s1
-Uo0iLji11+8m7bfg9J6+peAWc38u2K6Gg1nA7XHALfHlE78HB5ggi9QyGWFU
-YqJN1xHrSzYaz8A3Itk7j0h5IgN+N4y6nyBbYscbvP5vhNz/TK5DbYz0PNAa
-ERuQKin+qqGqTSXnMUwjh9MHm+SzcxslxJUoTkO6zDWYMaBZKoCmlFdqvshN
-b+D/hhccLoUpsqbcMNJPE3cfA3g6i0pWVBzc7w7MpkTn8rkOrFIClolO/Zeo
-ZNeWZB8VYHbVlZmXrs/GktcWv2x9iTHz7NoWi86COQ6JerOu2bebQlTi/7n7
-gfTLY3TCrLYxRBOFqF2iy3X8jtWZZYCxFe28by0tAxslNhU2/j7NKNEz21sL
-zTgLTfFhd8DXVtlRLKrMcvOCtmbQio8pZ2tgeeoQDSY3+6zRQg0qW3zqfNcV
-l0mBHnoMGeLHXxM/xhy4f14zwPyD7Cna3jE3vqg/21QEol45rS9jE89Ljhd+
-fMN+9WbPLUdxbdeMAyU4NY0DzN24jQM6oyCbhBov2FlgEzjF3LzzCaPIJuE6
-eHYD+bbYB1zCsOIZhhXzZ2FYEXTW6umYI1eJgyjBPEqto7rLAHPrgQ3m6oPR
-d1YtKKkkdVKhQzm+hPm1gOXK28ZgmHgfU45raHjmcHB2rgLWe7T3N2SQGTLj
-DQsAVhfiMbUs1h4yvMBaahKZITn5CCgDuZIG5QGW6H4LLCt5WK6pJPO7gTJR
-C2krpAmBkdjE1KycM86ZS5nT/p3BWHZgRIiJ6xSlC3+iPSNkLcg2bFKHGRdA
-0S0Jyb7ohXZqz1rcU8zu03hRVIQ5RjqKKqvJqwDuBXVEzxkp0woAPHJKOaD0
-dIsHnk3VAnQ2XavFlCCyCCatJsd04i5jzIpJrWY12rIiEnzdAPPXqwaYPyFl
-e7GkbFGK8daZEgFecWof8yyR2SUn9ObULcojrt+33uy+BRnJfaQMCxkelGRh
-EuyF29dqGVYtp3JhLBFkAvgQVEJ2B+VZuE9grAAfiO/RHP2FkSw5ILKHOr6s
-703cCMg7YJ2yRZ8zfjtvNtK5rqm+A+StuLJdCMEcl6m5HyTUwRAAAAwt5AIY
-4lCHxAecg6qTaue7GYCWx3aFxP4Zy5iB3MiCfRWlw4DhhNFlAB+bRSLcy++I
-xJJDot26qqLUyK/rkLsm84jEIS7g1CM2BQjP3YsQv/K+cbaLi59+KxXS39E8
-SrA3dalXnbeQhi1cuoBjGizK15bpwDxrLZeRJdhV2GlMffwnjN2m4rauaLP2
-L/YxoS19TOj5Vmf/LDfFM6DISZiQo4ZJVdtkZY4kZDgJSXBEz++viaOuuKDV
-HL3zGPMl+ZUfE0/FXPQ/EsdD70pAEXYQ/cXhV6IqCn0gYAMR38Vk2QVH9eKG
-+5fuPpDbwyLJOnWfHjxpFnHeSQpJzFO3wSPwT8ASDVoQREKSdSvirAdu1I8r
-J2EXBXZkAYm3A46HrFfiSkk8A5rgsrCNcDrps1EPhl7FrPhZG08bWnFFG8Nv
-9X0KnTlcDHE/HgP08XudV4v7yfI+pyGxyHtQMzDzGHmlEHlhG4kNPfF0UMoi
-LxOmLepEprRWkDeKkQfp/S+xhwKwoJdmnp/+D8jDGW+T2QgTJkxg3kmwMytn
-j0vCSqf/HnQ5vNFz4uodikDnOWnOY0yDbItfUQPrW76K8OsrzENnKQ+duZbF
-Gj6xvA1FDqHZc6bPY82aPbMYxJjQFm0kPuGTOc75cIA1W8SAXMoMKWQA5/zi
-donJfnHjQL4ezLzDYt1/Ibz97hLBG7CGQobXNAm69AQxgcDb/CMkloP4LHIr
-4Jzn7jiAZ8Teuld3DtLiNfgkMHcG8U4kSc9SzCEpCsyhqunHhLEJijnkVcBN
-JQlKHiHdHWAOnzmY8HbwuiXZTdZu7T5mVylyirhUiuA5cSeC0V31XGjpoTfG
-rJ7Nrh4KGDGac2C77gdLC/HXeXUbe2B84ByVeg7zNvgU6P0SBqrYAqeHOQ/K
-BHSjAvD1y4AvE6sZU2D20gB82MycerbW3xl8CC10UXkYYDD6L0A45YzhDEK8
-/bQ0Tff4I/Y+axwT06TLuUE8WW8JsBZCD3fwxZag0HAIR210tl6UZEuOsAxU
-W2oxN3OoxDlfcTWGOveOQBd0tH1FUZq67rdMLtWqJWzVun0b0nhpFkKZRMw2
-ypYELsyBbU7AM2dIAsRMFeP2mQZgPrlWevI9d1qz+asmQn5NBu5X6uRhFh0S
-IC9wkyOUCgrgkIJAFREqimYe0pODICjTRdLy1r0lmAquCZ4JwMHRw3sAGBw4
-CzgAEUGWCeuPMPtv2JeMXIUdRalEIHNGEgRnb7u1UrPnmJRBt9P6sqQAT3tf
-p6/ZZp1mOkoQh05oX9Fv+uoOcmJpWzWTkHdPAx//zawGNnYJcMewSxhYNQIj
-MnELrtjSwY9d67nW7LHISwUCSKhEX53tk3SmI50bZ5EXTMUrRN5Yf7jjqHYW
-D1C3aFLf/wp5XCbhQUcGL/62AE0eez2qsMeFB2cM5xJAtBEkpulBN3Ocdwkz
-yHNlf4XIi9L8mjixnSn7YqvD35TzEDENLWAF8IuFbCJNKTzR4pD21GgUlY9a
-zmyUIzlDxaC9DLS9xGh90XFIjW/u6NG2SFbfg00Dj0RLfu48hR6SC5uLi/Nm
-+RoBuHWYG4dq3C9vqTef3CRu3b/IrVt0mlTkYlbNbwhu750n9g22DXYN+UbE
-FJ/9scANuQq4cjMPlmZ+Mw4UHon+6Ki6RzwFsc9LtFUmutAi9onqe9v76JTN
-BXInby4VvOgYASghHrrbaKnWRdwTdQOAHObXYSYOeiXtPb4vx0F3HJ4y19xm
-7WaLOKRPUfLwJZlwlER8TWj7ZoYibqYgjm7tbERK7sPDHBixBZcL0qC7Yejo
-LZFvDKatEwDStIygrDAL2WURzLS6p28WUvxfMFPHsU7JZ2ju8AKGmW5qbxOF
-G5coITsxr6pMr/E7lel9G+JqCxHnUHYOoyxK/KLUqazQ9azbvhvwdPUdV6on
-VfWckHNz6Cz6ZA7dSPUC7czYRKsFlreVBGGSZWQaee9Q6wgyJ10OoC1jt2+G
-BivFvOGbcLYXWqP1xcwtqTZzSAgCeFPO8KQSHSf5PKGdu78pU6CDRmIglVxZ
-R3YO1bFolo4Gfgho/k2DmTjPbwE+IpeY2oaEA4KZSBIinoKkw5PH9ebZ4/OP
-7MlxFUx1Q+IBCUP8DwAinvKzHaXZ2EXfr40R5YwaGH8cZtlC8HeS4g9Jfpi8
-XTYQ/NlmSajfAfYQWtmR9m8+fgS/j+IA7AfuEJbZl3C59drNXIlHNB3typA6
-+eiKOm4888WUgebL6Q1mFWFw4g/HmOWXM7pINTG2ZjeU8W+sOFw5ZYzMoDhu
-e8Gbw2Hia3ZstCUtYJmbFICwdwBCrp6TGttKhltGUrojTt199ZBAsXEc5Gmw
-11CFPjZ2XOffxvt1SnxuVls19Jq6gl7M3dxSM/Pi9Rlr3BbsiE29q/e/4i3W
-nKDtOk32LUjkh6YOdJPxM30Ix1yYbvowS0mNGAyY7elOUCtjd9mRx1htmkPt
-C4za59lhzPhqBC7k3m/TPN5PR2T9tQWDtPRycEAjG53PZuvfQCNXk137hqD1
-1Q2YLTqAC1j/TvbtL5hlooXoD/24ieGF0CViJRy6JLsGf+0RgtaTRCnxbJfR
-AXWEfUOOD74brhG+GurirlMbd7bm4gljMbhkNICjmIAXUghI3QFW+xGjBLPE
-a7htu63Tx+xArBFtN/dZvy+HSI4l6B1A0ALE8HyMNlX6wZg+UUW9uWO2bzed
-dNnQGv+8rL/59NaB3Jvzi7vp508XnK24HBpvFgyD2jrBWOowBptHu4V0Jja3
-pwcFVDKMXW6S9coYXr1CG5fJIuBtwVoaRjsNU04CGWMsoJFpiCxQSqmXSRhc
-UivT6Er1Mo3Lvs2o2dK3lfeMZePFBuyecSGVjL4bwmz63S4qj/IY7UnN873v
-dDXnvIaCS8Mzt2Rj1pLHGA5QkPFK2HC7lkmCzfXMJahl3DR5n81Z2TFINmPM
-Ylt1LscQkEjGW7RrhkVmmCRW0LDZckUcmCRa9nG0LXDcuHJtGlEqrGw4Vapd
-viLErSK0fUGOzn+uHmD+cZVUn/7x4v5c6TL/2CZz4HajeZ0COHFAHZw4zN8E
-6lA6zlFKqWYz0w7owdUuU/fpzo4dEIjS7pO3rWPUoT0KStUQLQHywChR5oKK
-GAs5PAM6DLsNBHaHbNLPbEnPO4xvMXus19eVuYFpAmr7rV3iSCWYJqybwq6i
-s0VAcLHkAn7W3wl5WJrhM9o+vbOebfzRuxLqLkPLJrZuMV4keFUCBBO2ZSQ3
-k9uYZTICL9uS0edK3O5rsDFMgWDSJc1Mw/I2bCEKg/6BzqsTHJYscrlKfNH5
-RDFns60rBOPuY1zNOIEysRXl8xtsMV6+M4NO3g6wGGsv0lzl2soZisOzgUPE
-MaWD6f8Ix5o8HP3SCvhfuWaan7gNHGpIBas6An0vc82Lrk/nGwpywcsy67lJ
-CjCoCE2k4+dLvEU2TyGRylbhr8ovY7WAtsqdMInjn+PjF3t8kjVEl/xx4KNP
-ZI2hd/SaXCeizivbxSAqPFHYsgrFaOTsQUY/I675BRlDeEb/vLKOA5l/urS/
-+d1FAlGs0IvbBWMIzgmIIoHwtK7Si5kdmKkFuMIQIr6CmR2AKSCLohcLUSQS
-AEs0SkHODjEWQPTHMnMrRmIv6s8oBULh29kQClC6NxlCIA/+HcIrRyhCMUa7
-jUqZlwKhQOxOI1Kz/eg+mkjvaQ7YvJVTjQgN4aehPuBfpJ3QPeIzwHRavbnl
-2LXMrceRibm3AQjF3b83D9ZYwYrg6Mxz1rPm0lpQzfAJN9QK1STEa8hIBa+l
-/KrCDNGeGfcwE4XZILC0ilX2W+s9WG30R9gpIGor+qwJdQQ11ikgrog232mw
-C+SyGYX/9GiTWTl9LOMVhBT4tWbVgrfzVu2y8F+Ct+QCouOlsxnBgY1mCNvU
-lY67KAxPzWwtOdsZJWGbQfEQ2dVzU0M0bMNAd4bS5eueb5WQSyLzH2HA72Db
-TPR0VwvKLEV9VKOcCzSbnvMAO6/QzLKm8oBKg2acWvKNkhbMU/qEUPkRGU2U
-tfzhZ3Xmd0GGHUYTzUfuOqyRV2lEBPS543vzcnVzD5eyMzzDI2RkkpVC6AUp
-PdBXlI6esp00QAEyUfICAwpUAp2na3oPfBUIRYoPc7MQjtl5/RYHTesOwmge
-uC6nGpjXYh9gCTcQr/caI9DcpiM1243qI8jsxV+LmSXIkKACFlnLf9wwgG/D
-p1NhQOvNzYzMtczqGQ1iRO9p8OBMAU52GBGbIEMJbMKYrrw1Q2dtQFTzE4k1
-qHb6pQdpyGs38iANS2AYkWsAqU0oOsdxVn0VSCtcZMC3cHfJoiCMi9caK9VJ
-HmuCaKLLRDh46gqXDM1HmsyCayY4aM68cHyxQ2nxiedMk/qIo6WC0Ge4yvRZ
-QJPb1duiNt1inT9NCJW84RKeiLUE+FSkxhapL7iIjcRwwvS9S2xMH1LWojfX
-NvTFVsG5xGNKus5PsIkLuZTfc45ki14qz+94tgWtCp4Riiu/uSOL2HywdI4v
-PgNasWBk56VtHDQFYhG3+RJ29MaBnKcAzf03UVwUd4MPwtj8epLYUiTiUTB6
-9+GNZp+tRjFa0fb2eU3Izz3MF4uC+gK1U7UuBoWjKE5DLMe2LUItDKgt4jpn
-wMEkLzOqd6DF5OYfElhRSwr7+cN1+rLNxM9G7l1AmTIoD1LQIq6K9AW6G8G2
-WtDuOpJBq/a0N6MWdQJPHtvLvEc/CzXsf9GWnx9PGcj29OWLW5n6fjO9Xmzq
-DEau2NXUQZdjruTZSPntGPzH0J18xh4euvMk7yFe6bxG5sBxAQde38M1P6VZ
-Y6hZnGqTQe1QnwnDatRW8omz6j2EIV331ZOKafXgndzmo1F5EFfR4/nV9Lg2
-RDC3enON3w/blOvE3UoT3m39n/Abpb5XKD2zsUV7k1Tqb56zW0vq0FvS7gd+
-TRdezvyF1kQxiSjOeOnxw/lJRWiqy26OtAhNnC2NPVgtVJXtTmDIWrZrmw3A
-wMIjlcV4gxruhTnaOzcXB1IDC16Hjh62bhTzIb/AXAxA9toBPEPpH2RkEXIF
-bCHPyHX8SmtneCU9gi1qu2FgAV2kGm3DTqyngpoZvEYtKSwaYkDI5SPvgZzI
-RTtwKsKct12N1tDUmFO1jgbG9rBN+6EOJoaFjQa4cCtiP4AqPgqnFK/3GSt2
-Ffb28AC2eyts8QxIo8HJTsNlEe6N1h6u1W292SmGNkFHE5Sxf0A/9W/X1HH0
-Ga0Sv7mL4HuRwpcMMMGWPAh6nsEYuAcyHZpfpCYJtp1XtjkIm1kMV4HxZWDI
-Ep29r8FWtGIrWZdW159Qbrxe1upmYFzUNzCEMQdyYw9oh3XVDZMA6EXn9rWg
-Np1XcV3IbmMQpSFQA9xhfsUCW0FtUyvFwM4FoUhhYgKqB/MmusBgcRyqpCtU
-DQqbc+PLukB1520dkXQmLEtPjmAlC604j4P+ZWycZfPoToLeJux4vtASWfxm
-exoNqfGOqqxb7WJJz7cmPqCU5ooBWoQqd7iZkFhlhVWnjTE9HsSYFhZQ5jlB
-S5EZ2heMDPDyiyW3vFojvF+TEcYSEWi3+2/Em8gQ/+1SmWWFRdEx0/mds/vF
-BOm+0XhOYqIt9t4E6pv2r+f6VDiIjyioufnnARLfgS2esk939mdRBIfgLl6j
-dSAu4VwNO11OgEcS5cjN+vGEaBjfH4xv4ZpUTOb4sbbDP1i7kWw5foTZdwPv
-2CLUBIOL5Ar2wUDDCMM4A9UIP1mjje/dpiNBAkbyWlEf8+MJ/blw/YEjZGUm
-Nsyk3D69kTwJMs6r7vTI/vouRjTdznqLboCbkxsAvPrBiYe5tFZy8J4dQByW
-Gri+r0HTkRbcSWa+liQ3q+ZrVb4LqP3HbIh5gxzN7rzCQjkBrGGtbc6m2DXm
-oBYsdSo1FPPc1mVQK+Z6oRJ3dgpxrWtXLQD6q+DNyG5yq6PaSdWpX5i3nF3+
-Go2DAehnmq3V1ib8OmWiIynGNZgvHpYS3UYeJ80thz2kFmBlhIIJ2GDT0la1
-yktamcPziVvlpGKOhTxP8DOZn2rxPVp4ma/AInfh9nLVQWCVUeizGgUwt9eb
-o1FYfkGrWX2zZGk+dTFjmdXxF53xjLZB76hFBpnGMwJTCMDCOv+cgIyqVlhp
-kGoAeYbO7gBgkRDFsjCwzpfvVMtARsEPLDJaDRy7ZX92gQ/cqK/ZY+MWnkV5
-5Pf6Sfx4s0oMmxz1cBM/DuUC1hJnavYaH+CYrPP+a5fYetO+GOaZrCSMs41R
-7UEwBtxxB7cdkpg9x/e1jQSBYvjiSDUhMI7pZn+6HPaZbsqNUjX05e1Sgvj1
-nYreuyHh0/EwQyAM2s2bUG7Gcaz5VXaSrwxj0rORrGQoXzlBMCJBrCiD5UWX
-5RdfK7bStQ61PUKK7aLTNr1qWTbaC/E1XcG0cFY9U21OBnGutd5eki2qXQNo
-e4QWmd1ldGKzWEWMHSVHtt6PiHeXsI3tqvWPB73FnhjE8ei46/W0HWYDvAK/
-qV2pVGCaiPmVLkTqJEclLbdtDTbeu4R7gPNUjhHWvWY7vrhFMqUHZjsN0NY5
-xYelOm/WgoRHAtbcFUbvVYzaYrw7pE8f+lm+dL5Um68mqvgl2Vm05Pg3YfRv
-CB5f2l+WZ4LTqwz6ldN84BjPqEDHNCfMbkYAGZWwTx7bmx1fZFPRaQT9/FAJ
-ixDV9btJgR4vrruNLLKLNkFo+4XnbTaUlkGoWkDBns3xHKo9/VDBgGcbKQZQ
-91yvr7QzIODCqAKFAC1oNDzf3UelfDxCWkDqvgpmVDpsP6oPZllGttnvZbsP
-5PZF9x4sUEUM6zekpz4hmP4ba3IQTL+8TaD61R0DgVAI9N38OF0NsAUsHu+t
-DyPQM7mSdlZDHrA4cjaAjKlgbHxnM1pT5x5zkYGPNo8qNrw9CjzfrFOcmY6i
-ad5FjkPPZOUyE3CdBbhmIlylbBj6xGHa64BQG3jGpSJ4SokER8yl5y9W6E66
-NK+pM68KU+sbI3Fk/WPZHbTrRzBL5oadqSu+2Z6AjNSSI8rS5FJrhzR5y+S5
-rDT6OYYoYk3a6kQtp0SJE7adwzLYNE81uzUieaVPtZ9cuYfli/KzP3L45EJZ
-tMDRDgMIRq26VavTiegdtdMYs/zsFsm9Ap+Xi3cLfKL7PeKsCEq9dy7x4ZdP
-7kP03M7XQjzq1oOkMg4QnUMmFK03LR9GbREgimI+mFRYKsASKVgUEu23WavZ
-ZzOJjiCSjBpaRI+lqK/iEjyIFNtlZSaqLSWIxih9ICoL83oA011BoEUo9u0+
-Os2Y2X01B4QawO0IoWTB3YIXPxzIZRlQLp2kjN4nlx6Vwx/fQG4/3ZzPbxOA
-goC8fFELQ5NkYBpk+G7mix6ljiIzTsHZZtYzIju1YJ5psbeyDEqCAIOUc7pz
-G5MQoeEU6WFrMKe9vhWmmbDWJgp25sUj6TLvHYgLziFVrGsaWle1rScO4zgW
-e7n0KxdcuWUGn1zKdF2793Xx9YLRoINnIo1QpaApXzqPiIEiVlZJHc4wdYi4
-dbD3emPr9T7d7GJZMT+mnDVy6H22OQ27ibHjScgs+1YAkkOyvJexXcmZUZ0L
-g/mR/B9BFw53S9Tf4Zbb5vFVj8jWR5Bd7bxRlI2LSBXZ1hnQ7avvbsCM6TvF
-viIqtYqw+7lGpW46Yij3uEdy9t9kW/9MfiyqcO0kS9hXmW3Sl1ccXUqOK4AL
-hxbPsKl7bDnKXLtPPUenQCURYEbPXKSC7Nptt+zVg6NUJ2xdx/wX177nJi1m
-XwIwbKwF8BHa9/4k4cEMWjiiCEnZLl+YhQJ2u/u6fXiSJWdx1XHdR5EKgrz/
-OoJWtq2KXoSysA+f23pEb1YG24zsHWuNxVV71nORMAJpyHZhebr36Rb8B4XK
-19aZj28hFE8htUfU5OULMWJ3sTWd5tzbyLNjtrUxQ7jEECbWGcCXPyj41WgV
-DKykeRW/ibWw8xodJV6rGr+TcgvcZEDaTZ56F0B7MyXLffv2NVN+slYGv0kO
-v3l2TOCVOo2KmyaQwS06DKlnK/PBY4vgPTyC12RpO29pt9Nlde04ZcQerHgA
-DJ+x6zlyqFlaIjwLu+pTvJ136AxIRHrv6GCjGWuil9muT/s+B6xqNElMauq7
-0T7D1BdKoiWqY5SaJ4stLK/WucAzYP7dJw/PInV2o28QOY0U4eq7GkgBwFnl
-frZkaFehdADhY5LApWc28+1AvhaZHwSbUFZogYowMtIkcFxfQwXFCb3pRy76
-SW8aJEScUMGLGdEAK4gwQPrAEb3omKn79qDvRXkh8rbHb9Xf7Pc9saz7b97K
-hBjhY8xOwT6U8gKssKaINIUFTwDroeuVtJfmCAYim811PFgPIDCCAAOweO+w
-9SUFtPNwcVWxD0DeT4/bbN0RZsLw3nzcRft1N0ftKEVBWCQS4W5kq54/sTdn
-vhBjBlL/PrnO/Psm8mFvVbROajGr7xzI888MfFk8q/X1kGWrmzJkJZzNlvfe
-em9tS2Jt75cYFFlbTFKLCiAbkGJZO7WqNLHOM18XjQrRyn7t9xTu66+/vtgW
-j1MOmQVAZUqM4r3A0J56yCbsbWfwufsYKW603DhxE1YFpGkI0rDIMbC0WdCi
-iOJ0dVDpWW0tbsvjgxi5QQiqhkNQbGXt9ozGkbntFYBrE8All0VS35atZaqc
-NwdmNa2MWf9KrGrK8OUvYGaM8z/VHJ3C8IWhdXUVIXwXZiFsezKzYDCEG7PB
-puk+2PQNtqlicA1ZjVU/R9CYcKtTOW84dChncDFfBA4tSDKsDZxZ5EoQVf3l
-WVKwiOkvKFaEsX36OOlwcO0+A/8/Z98BZ1dVrX/eOefeOzNpU5LJZDKBNFoC
-+hB8lqeISpWAgNJJSEICCRA6aZBk0kNIbyT0piCgIkovQXoZ9fms6FOR3qS3
-UHL+61tl733unBn4m9/vZGbunXLv2etb37fKXpuJ91qt5Eq7cA/uuZgzqh9P
-kt/3yzsy6SLxNGdv6b04a48a3vrC5dmvNzGObR4fn1f835JxOmIXkb42ZgQ4
-hgz+ruIY2eWjFJ/A7uHaf3EYfX7Qjil/L4j3MH0evwvHU33zc22M43bSydjy
-g9exnEI2bO+GWMB7/ROJjSfpAoZx+MZrFORuIRyvnzg823DC8GzrJc2C4Uub
-DcsspSXiFSUt8a8iOlZEa+pHEd1f+Lds27mZl23uSScJHZR/t+lGQjd3DWoZ
-5Fd80JU/a+7r8r2cqnKAv6bZQJ8UhMFoLN440uEc59g6nC/fNvIi26M98RsE
-5K9ILNwl1GOuDNe4OSnMdqgX39bqTmPuuBAsHQI+NaoGQVs5hoAo/ViqqwFM
-396hvC0RrWW2tAsq0dZhV2fW3zHIeFm9x90Yh8TbZJSfZQC1TUDj7T23tkXb
-duJoiYRb3d5sdB/zcJxqkF8h0TDvZ7tIslaf4NRulD7WNvMpqZh99SqR9Oaz
-2ngbJipELy9s4iH0ZOCRlIckw/y7aTLfC/sAkFG2QxqtQxm37drRAnQAfPp+
-/fjQRYwUmbZvX2SXY/RnRA0O50g0A8t7/deO2YSvCc4n62FTwPsUxfloHZdg
-00zG8k5TQm/UQ/uuyo6Hv6+137FObKfZoRIi02rQI1ELdp9iOw4ntvYcmmSj
-9xaMLz5rR65eoWMTb4v9G71lnLnOOKdb9hFh/KFZbZL4u7hZ8H1Jc2ecpyHO
-8+StuS1L8sZO0IJ3tFjMWNeYOcB7ajPIZEKZKe5BGuVWpbQGOMT2yMG78Jgr
-D++qavFX+X8uWmXLxrQUIT6geVYf/XNgbz9pH9SiDsFYT5gq0l+aCkvyGTDP
-8pEcd6u4D9tD0BaiZ+S6sUg8JcLgbu0hkT+EHR+z2wYy9NMqrk8kkL1oqA33
-vZvz1Rf5pi5CPwfZNdY14qNslQH8nBI2ovW2aFf+rdZXBdYW4WHsPbBL9nah
-sjZwYJ6kyLzO4M4U3EhHf0KW+TGxODb3YBr9B6TG0TmJ8ZQvLpK9c3eePtCV
-jnhoH4Eau9HA4MgIoQ4My4cKv/VEqO6bJ/SO5OQJMPn5h/bPTtpncHbg13bi
-veOY1IW814rvygkUQDXU7uy9cVwUNtW1caiM1PT3KZQGwtGnZQjHcyd+yQ9E
-saPlrGPyKC0K4fvB1kD4wTtJHdgQftguhnB0fpRi0HzUjP2u2T67KsjJ6W8v
-0zuzcw8ZwuVpvGRUxeDX/kjXc0uasleQHVzVN/vwwn7ZQ+cJyD++SMEtYKfV
-vaw5SkybM9S7S4/BlJZoSC0lqMSQbhpda8f4vJrZY1PqN3mlPqAbZh9YEEHn
-mb3w3KvU6QGR8vyHsj13LGcdiwfxVqkA7+Kv5F2k2ZMXEs6nOpwXdY8o5KV7
-xAM+5uC7RlzZTwfkqlQG/Y41g+Nw54SfCINh73hOFX5sCv9sWWVwvlwDpWjF
-hF/y1aoyV6vkhJw2V74l1LMDqAsDdlH8EWuEGodw/MK2SFSGUxsbhnYN7ZsC
-eN8YdHNcJwKdD0s+Zfs8vDXIxn50EA/aKz9W/rbdRG8vl+0KyIiN3Xdkdtup
-A12wjUAbQTY2wiGdjezYozoa4q7JspePD5cZ1ytbcVh/Heq6J5+IPvfA5mzF
-QZLWRn/jSt3Hh8oSZnMygX9bAu5JJMxRHQbM8TyIe+KXJJ0dQhxpbrR6cFP0
-F0R8G8RB7kzin5NcNiAON4AMGR4DxIHlsCfzO7vUU+C9A7sNPO8wfvCQ7Ghy
-BwgssA//N1Pr+T48RfcI1bkXicw/3EAYP7eNA28E4EziF/PHGEAHj1ksfkV/
-S59JqUoKy2UuLDO6CSEchUuhOVZsMJcbj3Nl+YZwbKFuaPIoXzap1en35jzK
-rfTEKB/UNco/5eir4ExKR/Ei5nVD/cx6emvNBnnucGuOXNY8e3J9AdqDBpPr
-+AZxKs4RvfWNVSO/0gn5DvWrebwa95Z0OhZL2rr5EO5f4PxeHVW6vbRekBOI
-tVytdF9ydI/3rTgn4Y31uautR7Xw5zYyeqKGWbwkLZa3+6vjQu4z+/4u0Tmk
-NoYI1Avh3pqT6QL3AQ7uSKl1LJGmrWq4Ix7fSkyOkZ44b2kLwf0jHKJIjI5x
-2W+T+QLy2Nt665RW3rKLBDjH5gx5gbpNgUFC3Fo0b5nopw4eTBfYHB/RFILY
-fKmerY79Eei2NshDF2NDITQ7IM8jy76ahzxgeYKeuc66HQfKKeRlRr7AHbk1
-lKewn/dohTzyaYjLbaMhYnFA2pQAa3li+v13FsjjeWj9vb4gey8QZhz5+TLn
-EVCp42I7ubwn5zVmr5zfN3uB7tcWgjy6v7gATRTPcL/IwZ5R7/m9Oc/vnIDj
-cF2mJQrYr3Ggjxzqr1c+/2F/3bjYCfWpYn/T2Ts4wDd5wFcn4ewwjFzOvLZb
-wNu5V4l3Fe6n9xCX4Dg+u6qZLwb9ycLzT64f4YE+eR/WL9AAFK9UJ/Og6bcz
-qLvZO0UBPQYAr/Ka3o4GU30vsX3isM28jt/use22RzK8S47X4Sc2+kMt+WDL
-jXze250De3ESLeVYm+n+To63U6bvVHB9h7uQDeRBxdojgkwhGB1Q5xfxCz4r
-8+cDsXkihPlPqqD+ozzU7ZgWdF5vmrw9C3eDOlJvGCL60TqB+ntr+rF4x1Ak
-bEZEzet1EvEvL5ZJhqMJ7jdNbiUBL+k3CHhsnkC9Cyl0DMNAV7b1lkC4Lz+s
-mTcoYsIv3hfgftHhItwBd0Bdj5GTzRMyA8pOxwCabdYo163R/oXkeYUrXdz+
-9QUBONo1AfgxnGAnuEdDGeyHfqGegW3VL+bw3fypkwA7NAA6TqSBO82+vZOA
-HUDHY+2n7ZDt+5Wd+FC6c7UDBiV5lOt/TU7vj3MA9qbseQzWWEd3b42Afct6
-BnsMtMMqPjPehehThgaIXvEeFswsSOce6h9JUxbb8o1OzgvLRzIsH1avUr6h
-GyU/rGvIFyh5dzKW4j03j/Eb4hGE4GfUO7yfdexXsmXnGMb35jcZZB+rMvdC
-7IL1U/lQVfFtnXg9CXk9ctstAfJOJ1mnDu0RU7lk5c/eAZ+nQHsKoHOKHom9
-C4f4QwKww+OOgeGOD250KQPzQt6JHr21o4P6wNh+HYf4G4Jftx4/fsvAaH9m
-cinh79CZzathfn0xzMHoHQu2lY0WGqMD5ki+ZetEwG9ZIyfHYZ7b+9jhSMHn
-69ym3cQtnhD0yEwtPGIoD+L4X03AYdgUKkmA+MWjW7LDvjkiO3vU4Gzdkf2l
-R4VidSTikIT7Lgn5BQc3M9SxEQMZbMAd5W7E68A2ytrnBlg/+asSm6NfexyJ
-euAewDzhv6S8PYmnB6N+ljKrg+WPll7tGAPeosGcsAOhg/xt0yM6zEy/j9Ni
-Gj7fb/uUJw0gpQD9j/D+vCmi41GFx8vCpkwUER46vQ8T+++wSWNpU/bc4ib2
-lu9QLIQun0fOGwSI00puasaC57k9D/XmKqhLKl6QvnibKAlz8k7IS6t3whCv
-dRDn+XMX78wJOUAcB1BZLl5q2p0yc9Lhkk/B5+FdeIgWw5tzdHvK9zoSf3LN
-CAfmUaNGxXgjnHsYJHG7xO5xAbBjw7NlHXOCPdXGl2ByuT+rV3P0SW64wc2t
-Pj1n4NamGAG2jE5ONWInQDokSqpuiGAVTmOq1OlA8X2qtlCTM8DLvA3a/taB
-IslTL8l/wZdQdcIHTEkrCv/1n/IfDltSrpfJnjHQHH1Vc20ey9b6aTO/P0a+
-TXNtW8kAP0F74yo5ke0d3q3cN3trqVTOkFDHRiq0m+FUyGN1zAdUOowZyhwB
-K14fsLzxmP7ZTcfLnMafjJPc2w91IxWm2kymy06wAgmCtrGxCp1daNfGoFN8
-nK54xvCqk3UoMRQ7B+eC5xiAjnoTPiHS6dJ5xMcqpJGSO3RXmSeHzc3A8miP
-6RiAjlqYykH5R3xONDkaWdABjmMFQPffJUif+rWabP/d2rKT9mziV4wRytcc
-05MFC1ITfyAx88qSpuxZulvvrOqbvbu6b3b8d0ZmD5+L6ujGfliwTQrnLum7
-E6ZLwLKE55aXu0Z6wB19/6jFWtVcT7WOK/ezXVGhtnNBNi8SYPfshrx3/FR0
-F56wVY1u9hpcKmOKnrR3wqhORKVTmE4XO6rmJI/rmAlbaokgbM7E6RijxI8v
-qXGoDtph+E2qUIndGWJVlA2kaZVNN3FJJF5ilR4cHAJsIn9wG8OZxDQfqHc7
-w/l2e0zUPQtrIBk0nOZ/yS14+Bdcl7cY266ftbpgghCNiKMVezNudKD2BP3D
-gKSv9KCGFu8gUJ8wamcGNcLuj3Rez0cEaPSdvb8cWrwv94+iJP7qYtlHhf7R
-f7Y3Zk+S+eLY1+sntmbX6gmS5x0yNDv8WyOYpLE7GBUzZNrQe/ZjHUuAPRg4
-wWr2qH7ZQcSAADaGsSJDvVhBjROtpusMH7S42LCQKTjOmcCNkyYP/vIgBjY3
-kBYAe7eSi8AdsL/gq+RAMPLuTNo4yQ4ltkH8MHepfV6C82MV+xxw75gysPGK
-IA/gatr3kZwgogucUo8kxK8pOnmJ7tbT8xuzt1YSsFcpsGcOyrYiCN9Il328
-iBF9MSffXFFNr8v5uSua46BlvGMRozuKXS9blEqe/TpNu3E2TqPwalj/cJYe
-4RNk12s78zUAOdJBUxNtvfMQZ5hLJq2S+1n0xPDBPKQEOxZyD8iVAO2mk4Yb
-jPnVNxfhmFvb+xuMI9c845natZUj/nZ7sFds6zQ5y/EWA7TsL2XSTsOdmSFp
-I8euwBbyLnWuqFuJjblXaFgHre5AVica+1aE5fqgS5N1rMMmTmwQS/C58XRk
-RG2Qpov3mLFL+akM3uHzJER48+hBDiS8+JbtuNHXfC84UrcupdacbZo4nPdU
-oc3lQxLgH66WGPu95X2zty+QQQXW7mKk/czcRs6kY7/kgsMlJwBszz50aPbI
-6RJro2CGpnCk124aL4R9o+6E5h3Qh4r4Zm92mJxSh+Aa0SsaOSHEZyhZo0A2
-TU/YQWkc5D3my3IKFvANET5RhThK5STDAdZStLNLqgOkwDeIGn8S3H/U52RQ
-EILssRygC7ABanyO7z9SG8sPHiltZfgagmAquRsIeLwcvBW4HwwQgksDwB8n
-DYP64rME8NfIRb5LIF87dji37W7doODeoADf1M9UeQyEwx4vdfjGFUC8xBBn
-2WZVdLc7pOS3XfoYPEr0TAQIc1h8+8n7eHEO7hZRXvbU3Wk0QtVk55C6FfLh
-RDFrTy0+dE9Oqt08rV6lSXMn8F/F/N0l+B1/2wAyHrjQUj0tJZh7K5hPnUzX
-qS5Jnshj7aK5uTWcCijY9+gc7DrWK1ZiYy29XgX4+iHYX3YrUnC3hE/gfCL3
-W9YOEcr+uWFcI4Sf6XWTHDGO1EFrtJccgMinVwwo5u9rWnyQfaVVyoTDse8j
-29icdcwaxGP8P1pL/K3CfMsK4W8T5eBvBNrG4dgc/POTWzngPnovOXyIU+in
-S/pcWtuEw6VqJnu0GOcUbEPKAuPA9ijicbS3oWqGwSSIXrE5er5OwZymOJ+q
-fD4lwDn+7ike58LjKXe3MWbtgGj6IgbCox0dxo/WA0WgwMeqLwBxM453E2zj
-e+AHgGeM+cMWrsPo+zcv7c/PnbmHdL/A/WBfC2bqIrWIQ8OeXygYf5UCb2B8
-DWF83bjhFAMpvtcHRN4Nzi+rxnkiQTdRufam+9K5U+j4eG2Lp/IA5LiwUdOA
-rgI97Uaff/4zgdxJ968Ug9z+goTghMzL6U1fgatZaT4NkY6rCOzcKEcQC8DO
-HxngB7uJKp3y6lEwZNeOFa2id2b2AQw4IJx/Iyrnawdzmr1SWEKjr+qA6JSJ
-OWWadk3uawczfhMm6NTnxSQ3xuobKosjfjv89Tp+cdcOiPZQCd7iJbjF1pfl
-qdpyZYDxY9i6RRB+H3kyomrkyd7Ewe0EYdD0i7rNcunRQs+AMOJsxNag6mvG
-D6AYuw8feHcbQdeoGoVhFL8hVuWAyp7cvAaOQ9Eb/S2oKgHGoGnkzgBhm91n
-20GAlRDGdgAQtmLydpAvKozrmLHH7+6vcbv7Wjggih2ZY77SmHDyfDtG7Ljd
-fD3M2P3Y/7TjgwTFR+zeQExd5prdcVpex/EqQDNePYaGQqxgw+nT8xo5YHmZ
-Yu33CcX3T21jOQ5n6VC8oRDJDOTYZ9LKQdTdzN1uXN04absgdd7Db762UQk/
-6O8F7A3S9oIzi3bjk3VFoAPGDOfLdnbCPJK5gIWDO3f1oHWP6dnyvQqg/uVi
-PFcC0m7/bp3g+XI+15dp+spmgfNJnC1TMEuFPA33mPv2mErWsVR6fxyYq0Yx
-BDF5WjA5O82TN275zwb4mji+k/dt78CorADUJU24Ac8cO/+CJ9Vze+zPW4NT
-laT0toPluhnSSRUhJ0G2e4CWNkruhGMfVLeo+E5C8c220j/axhe60GaxQTLg
-m44fnk0kdKOF5V2gmsj5bS10vUrEfPfpA7mdBa+SR1Kf1Mo918iEI1/0w+MH
-8My/B7XgBUTfrscuwN6JoGNsHon6c4x9he6lBrhnfqefAzZiawAaAJ+lpzBw
-Em2PCifSAO4pXxVgI9Y2YCPOJlKOBNkJP6/7v+grHC+0IyMakTGjmrjdkD5+
-dxHn0PGA8fFflBZXbW2VRrjdMfGzLfvObm3kAkrcBQNvgf3VGMCCIhxqd4g3
-4NygUdC1+zTFKxDj768gaJ8zMJtA0P5wdV+B9LocvJEl74cVq0Y3HvOCPDL7
-71g0yDJpwQYyKNJr+guyDd3XsTmYHpfdzqdtr+iu4ZDbEI6ZXhjdGbDzFwsY
-OAQzR+FfKoZwraI9stOPLuuHP3t5PyBHqJkv4Jjfy5XN1VAu56BsvXtkhtbs
-smnKdlLsu86moCWWYLNZ/NcDzJZlK4XjkvTKzS6u46q4O41CBuMz0HmLi1TH
-gc6KA7kl1FGi+jnvIP05s/bNrQxpg7YpbTgMbawBwBMHcEfYA6LP5TW36m7u
-Spuik2Crtfflgfa+2OtvhjiR99a1khjHX3502iCOs99S8t585kDeWgGIX0DE
-/dQc2xbW4Ipd6Fp78FQ+novJe/PJfRxxA+I3H99LYE7gVpjbyARIccAbP7qa
-PiI/Dpgv0l0mCL8tV34mS/FKdtp/e5jbsMBTvsLpNIW5wB6cDo4HfAHl43cX
-6E9CF/oXG3iOEbpgAH98z2EUT+PnwNqorY1ByI5fN4jl+Qn6Y6h1QfWPpV+J
-l4U2WpTwsGkNTTnIGD6gzu7vcxqYxJ9d0Ji9twKZC2nv3bKqr6B8bYD2HJH3
-0/xa6vNrostjxnrC6OhYOMiyark6eEmy5NcpzKVT3UGdDWz5YDamODh5V6G+
-ea+99vpyPmlWDO0vFkO7Z8jOB9UB2rhiT9FpCOs8tBnVzVwNw/N+k5rr1WP1
-bci2kncaAjvP1jpxxUpiLvSuhMNUJZw1YK8aLFtNcR9vynW7+ap46nDOVSvX
-BRvZYwZvJPNiR9l4whXlODv2E5bnIO8fuyNBLAl6/YBol3xkTRcG8UpbU5U8
-v6J/Xp6DLgjlyKThmJZPyNY+XtOPm9OwS3s9hYXvEsofOFv2lADldxGZPwvh
-SSjHVJA/Byj/n6n13HoO2z6CCP2yMS3ZPSfJ6DEg/eYJvbgcRkwXCdQP4E2h
-l+nohQ0KdRzrMnP/vowVyHRk1RB1g9FnaPYcrMmQ/7q0ngPuo7/cwFC3TWUn
-KcQn8dmdZf6ZycL2vJGUW9fpI6Yigdnxe+AG8D1ganw/vsYUFrgA/A64hhOR
-taPvOZLE+ve/MYJr46ipYRe5HP/bk10JMv7XUzhy/yni8eAR/6nMDg9qWId4
-z9bRtbav4L1QuH8K3kuMd152gYzNfKBAvFbqZSbdZTuak+7W1M02lYRwv3Rn
-2+/9pU+Be9VTXygGvg18ME7fPLWey379Eib2xBP6QTuLTGfcR9K8vunk4drN
-OlwL4TqxghW6wT7ijFtawOapzTOnUAWDiSURvW2i1M6HcKzY1oN85eCQ2hPX
-8Iae1nKwoc2S3GX+X/pjOAsncTX/H2AdPx/nuTvSfeqn78CCIs4jHMHFACln
-91Oh3iIs/oMW7fQLes0vL8a4daZ9TFzyEWH8Q2TSSLBvGDtcG3sGM8bB5i9R
-GP48pqmQrf4DzajnyQZRxvg59VzuhnAHk19OGMfY37tPkoZUFewUtPrJDFcQ
-vq/GhAb6iE3fwDkqZTP375cd8NWdWAnznjICO90riPdz9Qg1gqAcMTOS2fOU
-rwqp41bi68mKbN4O/iV5jvPt2qmO9lV4AXgE/Cx+Dt3tTPz0HDzBaV+rcV7E
-muPwvRASQDp+7z5f2jE75r8a6HdXOJ4Am6MmsHRUreh4EixAOLwdeUO6o6SC
-yKbevaApe+N8QfkHyxnhWN01faHz1nWJdJ9sS8JkWyRIT60CZUgXkFesKG4D
-H+Tz64zaCebSDCLq0FF7ydHck1fu4g6I0lnfue6zPOAtRGfQdzEB0U7JAdj3
-3IH+0qX9cOUwr3jP5dosQJFs4qCuNf35MjaAcB9X9bgVEz6HvAp9zCa/gTGv
-W9oSK7dZtc1PiAv6ZKTwVqMZeC5rceQOkX4Tp8G16x28Ll5D82rar5JIv4oO
-aY+1gdh2enesGBwF7F727O4Y3qbxUKz+JUfyHYv1bS3ctlsnYFH7J5pSf3T6
-IA4tJ+wvEfqaMcP5lCVE7i9Y2YycwN8xOPhc2TwKJ/Br7cpGah2OAGKWl+LY
-/jlHgL6XG9QRYMbSlUr4zhEc2oOzXfhZzANH+K6kT/eBFH40hEvmdogiSP+M
-r/mRLd/cncJzCuOhx/G1HY+DUN9EAtwC3IQdwoifRfh/wtebOFaAEOATrP6b
-z+zg70VMATcA8idXEIkbkvExk/doys6l75u3Tw3340HQP3p6n2z5gXUcyuB+
-3EMO8bd0n57CvZvdkL1NZP/mkqbseHKyD08dmG1FKI9rjRL/Z3EHtdW592zT
-5OGMIMnbFZD+D7Uh5hon80UkSM4uJH1xBJsX9bUwnh2BTSMNs26dHYGron2u
-2BHY8Akn+S9lOaOuIDZXMHl4UF0XEQBXwG/sKnYPYYAf6w5c5wVO2U60QOrc
-QOrjeCu1ebCrA3AhAEO+xaY4a6tvEnbRyFe9VPrLjJXt3UeEBSXN3f9YWxR8
-3uSEQ3bRWndahWmZOS2A3iUfm2t8vumk7cRHVoN6UwBqNKQSqJ+YOYjV+0R0
-Zkxt4yT7/argX1koifbn5sl0e4Aa7A4V/zttZOMdZgRqFIt+qcDGMOELj+4M
-bDSoUrCuan4AgxzAvvB7kngHsKHmp+/Xl7dzMLD383U0Ppz4G5Wcmge/4iOU
-PPphAEqAczrX2ABEejZq4w4VPI5IG2Dl7yFQHkI/g4ME8PvA/Ujw43vm0t+E
-Y4C8OE1/34L9RGpgO8wZ327Kxu65De+UW0SPrz2kLrtzUu+s48w+2bWje8bI
-TxKofnM2fF4fEki4fQ3ZG+Qr3yJc4/auP25YtnUVU/zqvnDdhu08riVdVzJo
-i57PdcGR4F0wyFgxxLZAO/VR+zX9pfBExu0TddUUXxab/tkAS8FbL8zuXYM7
-mKHo8ne7FIO7WR92sp6sKLukH+M74cRdytB2paeFgzjMZ4Wf+si+ZLKec3X8
-nban3tfSU3daQQtTOR/bRdJfME13oOQz8JVwKjtfrL+JaYHs3srtbvOKjHHk
-owB5EkcuzE7l5CmpguGKbUCPqfFrXF6NHRWT85UtfsshkfKmSdt1xq/m2VDr
-RiqdwwTC72PT21gzvqfpdJAyInCk01EoAzELfhuyvxIx/2G6J+fHFb8gpV9q
-9HnxsS08S1hybr08hsdIzRt5dSTdrj5ato+hKdUwjGgcOL5Am80h1GMgmHAI
-XJ33bSmgnanYhXYGrid8Tfpdwsex43Qak3SZh47PIOxO/GKJfQN+Br8Lo4Kx
-yRy+ArgGPk+X7FmMH4iGMv/CBazmc0Rqs2V0rThQ5pbPO7Afu6J19NI3Ew//
-6qw+2Q30Nn9zdp/sLzPrGbfg5ufnNtDVmL1A1wck1d9cLFL9k5XKzasCjl7X
-CceAccyReU3Yyeo4umO+bGgLa+TNMMqrAp3+A2lm7bhgW1PoXYPY971EnUGc
-K5lVAhBzKm7nYugOUJnvBPrFzMuX4C11zBMXxAYJVp7f5hia3hJH62lVci7V
-5JyDL0foqe+EqeG6GQOWa2jbui4YANnOqC6FVTRgmEejED57MHLL3EAWBOpB
-lytrdt5zf4McM8/hM3T/BZoVs/qGnYbGfqeac3VcJonPUEwDv2gcD7HLPSqj
-9DYdsDPxb1v2MfZ8reibvb8sKHIHpTCQB6JrE9VPahYtxC+XeU9j/GKs2sl9
-olbZHHJUf86kGX5v1NM5GL8aaV9yRI/sosOkRmb4RZ0M7doabTsuXqh1M3Do
-VK6TUchNX0T/ydDE25q2p+hifMTYYj4X4JtyRs98onFQNh63STBLvlPr9DxH
-88AqwZ4PDqHnFu4nrbDLCa8XkZu55LC6bOP36ujzumzy3tvyXpcfjxUd/cAp
-QsHQ1b89p0/2FLm7p0lPP0UY/sd59dlrCxuz59sbsvfQy0Kh9oNnDRTbm4kd
-gKs40l5tEvv/G8L8m4iK8xAueWmt8NWStx07G+DXdpCR0Vq/eRV+dytIoHXC
-bxeTjtsCXb2ZlEnHXFbOB7K+JbxqwC1ZNijsSYZfqaYJipNOKEa+jd+77JRL
-fX69xOl2B+Cl2/juVlYhrLjLDsSqszXXJr0++P0rpO4sPa6DE9XKCnO+a0jU
-gYUVwQkXIxOGLspYqODFemDLNUz1rp7VXy7lXMKulq9Lrr4FDHe0D8o65vDt
-GrUzBXZPnNfmNoB8ovhl/r1A+PcNTBVZKEExMHzHqa0c3P1NMfynAMMgF2jo
-hwm/VtbGtCXwMDgY2ylulkx4DBBHTdl1owXCl2mMDChfSjCGnMapNialZxCU
-US7m8zr2F/jayP85cggP3SXMa2lmKkW8OoniVdA0nuetoZjrQriEBEfMOn8f
-KZcvxj6yb9Rwcg4pL5xviXMvgWHgdg29BorZ42ztwXXkGS+ml3bVUT2ya8n7
-XEfXtaQifkQfuVR3WHN254m9soem9M5+Q/R77+Te2R+mEvUSZJ8juL66gGiX
-Pr69pJEh/DpdW5Y18dcbxg4jBTSS0NuUZSubhIbXhBjuaxjGym5k8LpQuR/o
-ywEZHLxp8naWOfNSulmLYZw/Rl8XV5Gk3l0AY0fD3JLlWllij103TnzXT8Fz
-1VM7FCPbpr4B2dx1DpOd2+YZOmFgp1w9c7C2WDrNN/SEWhvPXd0cIHyQ9eEG
-FfJwotUP+5cY48EmFGnJ57PsK3qnJMTdmTFf0pg618m+fHBZvSH/WQhp6fuW
-/380ICy7XyfzLxM9q4VfzZJt7aQ1Utg72vEQOX3t4mPgXKeAAOe4efxCiKc7
-ZrVxsoWrXYR1cPVHhPUty0O+lqPGX14AvDdmtxPWjyPMSza8gfeIYJyY4L2e
-ObvjTNHbqPbcd3KfOLv3pN50D7AHDH86B3epC/3gGIE4YG91MChvQH4VISwG
-4KNdGXaAKQ9XJKgD+oDjAhnPxDIYUMaocnx+CqlnwHchnwIi3wf3ga+nE4Vj
-UjJgDcbHR7gGnBwyFUfwfXmnbMOh9Lfo7ywnSX0h0fIVhPErjuyRXUkfrzm6
-R/aTsT2znyPHTx9/QR9vm9gru/CoZs4S3E6f//Lk3tn/Tu3D2P/LjPrsb+fW
-0xq+NK+BbscbhPMPlhLmCf8fLmuKs/eXNkZ12YUG+ZUK+dVFkO8bM+Z75JNj
-Vaj3WAibXspWChfq+q7ujdbDb2O3BZrnM7oyaziYLSmA+n86fs5HzTktvl0x
-wGUSRCrSe3tkA/rivaDI1y8H8ADcYbIsAHgU51kc28FOlkgSMLfJT4wA2f6e
-Olkeh9j2/TA85r3iXWGt1+i6VQXBd657fRnTOzsDy7Ermjn5fp2cOBzkulLW
-3cC1NCO1SHZjxzx9F8CaVI6D9KYThiusBzGstyqsP6qC9bsBjUOKvzi/iWX4
-M+3Sqo2WcYb2zAJon4VwWlqzNgPa9xC0D8vuJk4Dm689sj93b0GN/1gVudE5
-1740ur7sCDnlHVH1edq5ZhE2sk6Qy9jOjc/5dJB9RSafT1hcorvHFup5ewsV
-0wh91xFegWM8hqzVpu/LSSMbvy9+AxIBaer9vyJ19YvpOXwPXg+4+4YxPbMb
-6bp5fM/sDuLsu+gCd986QbB8P11HfHNEduWY/ozpx06jkJpux19nMrazl+c1
-sATHx7cWN2bvn9+YvUs8/g5dHxOnv3c+Yz3bRCDfNG5Ylq1oEm7vDHJY8oa+
-IJAwBR7Uv/tho8IlnvGI2/NB6qJtBNk2wM2OAUrze61uCPeRJTlpXgT0ojbz
-PKfnID+sGPLD5WFR6ySKBPJ9+X2lHHUz5u3Ncfeea4sJtXqsRJ5D9WJk1a5u
-Tp1gT3Tsu+XHSazzDngdBW80LkOmGabk/YTjBepB33qdZ2Y71JRb5uQMtcSB
-OtZzjK/mbjkbQ+MlOUcdnMEMMN0xb5AELSOZra1UBaZGRI2s9lZl6g9X5iH9
-DkH6LWVrqPMXia0N1kuPHMoNp38lWP/ZYD3Nw/pXCuuHJcrmkg0wjY/IdgPb
-Nx/vcc1buAknqPZeeRSy3uhK3Y+xfalG3ChpAdezDujH0TekO7CJqSzAKTAL
-LAPrwPnKg4zbaxmfZ+/dl7Pn+Dn8DH7nKh3edBX9nUtUHwC/+Flk7tpHiS8B
-R19N/PzDY3pkPx3XM7t1onAzsAwMI5R+QPF83+Re2SOn9s5+OE7qQdeNb8l+
-Q2H2b8/yuH6F8Aytjo/vKZ7fWSzY3rqc9PoFdC0FxhuZvBnbKw3bTYbtGOCG
-6QiH09L2VdnewNDmJScSdyJNP0K6u+5VEN3VunXsymYbks4p2NifYV/On4N3
-4wAT6yVH1N0guUdn1OIaUgxmmfsgYxtwZZv6yiU8ngDUiYLaUbgpdubvfq4x
-lwMTKHCre3P3/XBr3buqmTV7yY+LD0AtZ4v5ote1QrYIsi/YNtTzPR0H2340
-dIPKkRCK3oQVdq3E0na7dXOuZO63MWLmlEJ/Uqcd87bJLR0vp+W1efOHdDAC
-yR0zB3Fs/VGA4vcCFL+p5My6m1D83NxG14WC3488959nGJLrOyEZOTMkje5V
-JOMjNongZ9cpSyOxxEXp4wTNVx8NJBOOoj1ctwqYEQjD1GNMM7FiNRCsQbAw
-OaF02Sh97FD5Gmi1fBuUtHkFBPT4fAWhHawL9Y/HgFr8/uvVs+C1Lj64H73O
-nqy07zihV3b3pF4cQRv7Pk7vUz7SRR+foKuDPp/3vSHZsXuNyJ6cXp/9eVqf
-7C/0EUmyFwnFiLb/Nb+B0fvWosbsbULyB8TMnyxvTLIPL2gkWb2VwFsM5KYC
-oib3DB8/aqQLraDFOtrblKjV7A/c2WWgOHN2lUbfhugfBIdtGcNYJGhhePuR
-vTLj1k5QzjFvOYRyYntCmccHF+N4J/1Wp8M3sXvaxC5LsGxBtwrzKkAHda6e
-DtVWv3O6BO06mnwIels5Io+1on11/1IwUxr5CE0r/qB/xUv1xO1EEQ7uWLqt
-xdQ4SY0PNA1CZxziJH5iW64bCkMnujXvKj0QqpZh7crMqrkBbVtDySxiW//Q
-PLxtOwKXnmVO8scE7zB9FsIb+vvVRZ6onwXE5wjEx+w9Mlt8xNDsTzOknMUQ
-n5qHOELsB1CWPrl3DIzTm7prkuhwXD+foCF2QuARkP+QC9T4fyemSwa5Uvb8
-g6SpHWH3RYcJEEHb+Fw6VrQtlQCO50w6IyzGz80mmsfvZIdBz2EwG57HLjQ4
-GYQB/DcpdL7xOAmbD/76TtmUfbfNfkbOCODeTMB+8BSh50dPxRv6n7P6RELF
-/3t2n+z3dP3hnD4M7IWHDcn+OqNP9nei538SsJ+f08DgfmNhAwNagU3vF4iu
-YXr+kK6PiKo/pqtjumTHFeHIkNN/HTMHkgV0nCurt2nCcEY15FfH7DbwtUnx
-SHLlzG3ZphPZMsT+w4zT5c1q1bK729pNeeNnf0/Zml4jbLd7Es53nO3yKQhn
-N7Ct4Lp6//fOKuOB63by0dlGxTXeg4BbEwcG7tBjXcLv6FKU6aFDDMqofxG0
-g9y5dbAJnqWDzaM68dMsEkmcf3dnO2Wt00FNwVGh3MhuiXa9e3VAdMKRc8Lz
-hfk5PdnYnQF1lTtkho+bwQx7hBIjPD/jODgbl1kN5PUezNmafmhmYEK4cNzw
-HF+/bWBenFfe6Ct5tl26w/8xuyH7+Uky7yEE9P8SoH+rgH5cAf3QqZI3I+Vt
-oLa82S0kYH+GvNlPCdSjmL3B2gAWLmNSAzUAi+krC77bjwEOlgYg8TmACJYl
-7c5gBsgBXDAwvg8/h/ITfi+YGL9TFQL/3dt0KgSAjN9Dr4gBjBwYXup6Uhgo
-Nz9MuvpRsDK9syeIlQHk3xOA/ziVgEzXH4mZ/0TXk9PB0H2ymyfJqRi/mDwg
-+4cC+7k59dlLcxuy1xcIuN9aJBocYAZrG7A/vED0N+j6iWmtDtxYNdnp9J2R
-MDNi8I5zBxaE2qniu6+F2gLxWoO35NUuU2jbR53gELvRahZrth/e0zF1TQGi
-DZVhBjzP2bmn2oqxLcyfSrcJ2RC//I19Pbxjl0pDwSp8J5I78O1lKJJJYk2K
-ZGlQKdA9ovi8VIBrLRwwpK/x4yyK0uhlKzQYpH/A0184B3eNjaWUITL9HZCT
-PJDZFW3DrsjcEWFZdwV84bPhebVg+nE92usDxfO7S5uYoA3P0OCvBBoc0TRq
-Xf+Y1ZD9jaJpHmZ4+FDCtGhww/SvA0wjqn6A93pRRD1Z9LgxNQ6m/8UEBjYj
-Cki6UfR4DGhFbWi5YnADtADsooObuS585VEimRm4KD7R93GzOf34NUdLgHw5
-B8Lys0sOkSougGwBPB7HnwWg0eJ1+4nkX4iao17ZLRMk/0XyIpt64GDOaYOc
-geUOeme/PlNJWfH85+mozv91Rj397P8h1432EsLwU4ThW08WXD87m/A8G2Rd
-n70cYPrNhegUf//8xhiQJvEIQD92TisH1wDwCfuPNCBnm8YOlcSZ1+UxYA3T
-Wtvkk+Q+yI4NEv1gakR2nCo1HICkL1VkS3tl1ckmqWNuwjQYuq4AziM/Fc45
-7m4thvOuqswjC6Uv9G8gYSle8lJcWVuUx248kVRorc2zdmoN5s3aVaoojnzT
-Cg9L1ibZEHw2Zc42lhGa8V3X2HALOT6hvzxWUjfAWNSpF4zahHNdtaykOxZs
-U9VHM8gXKkQ/kareJQBvv27Bi+4kZLY3jB3OXdsA7zvaXfy6gvdVNHqixBoE
-0U8RIaPzCVnumyYJVRQB+Aky8cfI3B9B8XoKUmMSSFt6DMwMEN86ESr7ZoLN
-Ngrgnu4CPRpNg56BOOheoBHIvEpLXtfT9yLFhoY06HWjctDvj0bL7zlkj52y
-NUf051SW0e+tnNYisUCehWQuMlzwMYiRkbF+RBkYWeurjyODhqIeyMD9A4O2
-nkNjgm32fwFgQbxPz6rPnpklgF1+1NBs7D4jSGELGQO8r80X8L6zuCF7+KzW
-7KEzW3kVJmr/PDBLWKVVfWIqxu1sJXIGdtlEiKCzFY2GYe4TZQAjvjYQ56td
-IYpLHsGXar1Lwk/tS4mNniTB298RcRANO+SOcPo5l/3K47WlGK/acQanICGz
-ZPSqENvR3kYvdiS/YH3hkU91e5xqLUuz+SKtmX/LQVuKTEtkjOnZ4j30jeqY
-V/6qRoNohqFOlLMTXa5g0V2Mx1jPiiAiHVmQxOoCj4xJwiNhkiNeEsggVPze
-B88e6ETya4rHVwiPL2nU+5xGvSEm/zKzgWI8IVbDpO20ACZBrMCkiWWSmpFV
-mYFLUNWGo9CkDTaboOBk0iNo0beSho2BnmgIYwvMeep+gxlf1ypOgTtIXdAg
-mBEkDWyDiYFFJKWAwTVHNLMPYPYkCXwzYtkTheghgQFCfLyPrgenCBgfVwr9
-0fEt2dHfHkEviLBIy6g0ymgEfUICP3WuR+OzSp0vzMFuQcIiMeWKo4dmK48Z
-mt17amu2+bTWbBV9vuZYQdm60UOzCejGHjM0e/TsVsS+afbJskYFI8i1AJAR
-x8IwEUt4rW0KmVXUcg+vljdqundTFbFe3C9fek50UhgYtv37zKS2cyIHSM1D
-5RLTSqXCvOXcU/TPThHpW4xS27MJlLYfUMevn1HKBfS+WcectiB7N5Lxagls
-944s2veYTRSzVn3TzeaXA65XcHsryQlLZBvGmE1P2o5PVmquCwCqzAnkXgXk
-XmkHHGsuSutF5c4JNbDopc0euUKjNdLvMWpngW1n6MbAbbSDQy7Y9GOrE5MU
-XjdmWHY8+fC3LLxl9DYym3LOaq7PWVWj96fKqr8P0Iv9AuhffKJKFoNVNytK
-wK6biFWB4NtOAHBvcfAF2m4aB/giAB4gxShC4Q3Egsu+J9oWjIivwbj0vfgd
-LGCBTjAlHgOKIbeRgQJipx80OLv42P7Z3YpgfLxPikT0tx6a0jvqx8L3UaJS
-oBZNXJaR+skJLdmiw4Zwmpk5dEa9y0gxf84W1D4nqGX+vJuQuvJo8OK4fUea
-cBu/74hsNcH2l6djcxxRKi00olxUkLecLykrQi4+xgzhsoNwpjDmrpHl9DTh
-GKbj5XEk+jhVFFchua4TkgObV2ncz2+vTqV/5CDpHWltbe1TAOEdPwXCiRzJ
-lxtg1lgMXjmpT0vFcJyz2pCYQ7PiSLwYwq577Ua5af4tXAS8KnJ566UD7XDb
-TXoZ4trLIYPdu9PKk+Wr8VEwOgi3jGNgxijjU9kVmO8vFFvyKcAcp0u0Dcmr
-wI2qkBvzpPc6zjRyLWHi8Bx00dfBjLumL7AbA7zRtky83ObBkSwJ4fNli939
-Zw0MxDDBd76IYYZvexV8zxX4orKEJOuCw4a6tDPg+yvANxDFQsCACQGG7rpF
-uLhPG48m7Q9lvBtzKNAGbgTyeMhJEPCiuHMoce8Z3xnsEIrvIV3LSKQ/waiE
-7sXj+H34HI8BufhzELz3TOrFXgT5YwjfsDDUQS/5NxqyQvki7QT1yx0vkwd4
-5auoveOUAap6RwKn/H2G2hExqJbIF/ErbxUl5L6J3BSSz4sasncXI0fVwPkp
-hLJA70dALn1Ciw8gb5ULi78cjzkEr+DHVmDTdLayUSDsq094bi1DOR/metGJ
-38VpnpGaz0VqpJxnDGKQUf/VCAKu9+B1m5t2LNC/pZB/O2G0C+h+Tdka0LVj
-dS2fTq85wWtO+TWngd8ZCd7lpHTJoTYOUUvQCTu5bYOJcKQms6RT3bSHy2M5
-EC8cVOMC4DjIXlt4XNZUF8+TsLw3/jLzN6fNOnOuIHd3P/5ZSZf/onZlcQvH
-Wodez7zKvqad0cUP3Qz4Ykedsa9pZ4tnBcINnRgYEP7JiZJ2+Z3GtAxhYq4O
-1dCPVsW20Kr3KRODFTHOgLRsAlqk2wAChQy2C9Qc47OoP8N79eHNrp9bn3dk
-+rB4CvYOgC6IFrGqSWTEpzO/O4Q/h0wGfCGTf3UGskoEXGw4pJf+O4XvT4l4
-fzZpAGeMx+wtOf3j9hmhiZCyC1ghj0G499D16ryGGIVfAi5iV04+aQLq/jNE
-rzxAHwHgd/IgjoFiMiErHgHAdMWM4JJj4YCJYZcr8COM4epMVTETiyRNWH7q
-DkHdwlCSpM6lno4BrMYC7O6gUjdMQ+Wwm+/maigG7jfCsHY7gsF6djz6OjlR
-npivMcxasTh1fCs9H7X82hU2/Po7b6caJAcThnkq3Vsl1bQajez52VBul7T6
-dBnktsHUoMod7z61lFPHqQS1m7S3jreiXsg5M2VabbmCu+0X7dIZriuEbQFX
-EcxNkjteIqEuTxA5Y6ATzCFkn+kCsk8SZP9ElGTMy8IZB9iepcx7hjCvF89C
-jSF0cU8vIgF916TedKuIQKMGFsHArnVB2dfAIL7G5J5zRg12uARmLxvdP7vy
-uBb+e5eNQX2Dfiv9RtCsPIfHzjsY+7xR5Zl9yJCs/dAh2dzvDcmun4C65jF7
-jaDbueD7ftDq6L2IOAmspN3RkHbBkQLRO09pzV5or8/lltBoRXDlNo1qrIZE
-+4DiFrknw+v7gtmoO9DGwGwR9SbV1Lu6mnrrGLdMYUS9ubBxdluoO62Sili4
-/eA6DnebCiBbdGxOHrI5JpbRQcUzgL8lz0mg+x15pYRdLnKlDroRc672C4/0
-qjkJO8mlwC37IMuO+XzplHPMZeC5pMeVBO3moqjrDMDBDlD6WNL+l1w1WeAq
-I500j73pxO04D+WotV/sgAo/hP/W90O9R3uqsGc4U5xuLcLpsiai1ianji2w
-ve9MaQUAtUIdv6TBrWC1IfunbrL7u9Z8/jpT8PonCvZ+fEJniv11QLGGVyhl
-8BqkKeGJMQR6nUGcN+OgIUS3Q1JEvXQHkE06TK+pBw7mA+oomsd3YzjoNeNa
-GG1gTDx27ncHZ+cePDjBk9EwfjEAIhqg5hP4bpzYkv2YLkSqIE00Q4X5JUSq
-z2hZxgjTENglEgMUohxrjIlMMHJOjMizEMgSFmmlP9AgNui/iDiKTZhAyzkC
-RRZKEck6GJFso6SkEoZix8yBtNwjQY0HcAR43kBTlJ5Fy4GY9KUSwkW/AgRu
-V8CM3SBQp/aFCMSP7VMEPgGgkGfqRC/QMtGhL4q7xSBSPuHOHWsKnTuo4gLa
-WGecCvVtx1/1tGOELnXwE9XKcmKQwytT8DzFXsKQS7iGyn+lneuqxdiLAb1o
-BGvaDu14wkeAb+tKD0AHPgIeiNK0rTVOvL6okQlz5bHDGIAvanj6HMZBhgA8
-Lw/AP5Md/5EIk6gmmw/CPEcI87oJLdm1x7dk7YSBOYSFowg2BJlY+gCO+BZQ
-Bvjg9c4k+Mw4iOBDgSQ9fAmFk+BPJKHoYwwypIetpKKQjTnl3Misy52IhHCo
-VahWpIoenuIrL5bsPfrbIzjh+7tzfO+DdiZK2bSWs0cOk7N8qRR9TeMoDiUR
-S2sHBZswG77pSqeEQBJAhkFmQmVD5H4n7Ae0sI4lGNLbCRuhPkFSGDBMQhhG
-lkaqiktXghw7preGrRWsd7l3ShgyyfGOJJnKnnJELGbtBzIlNhfgUXYH5LNH
-JQtEz6T/nqXrY7qep+sKBmPBT1Q1MRtM91dEO5iuZXiuY1Uur9muNOgLcXjV
-kDXO1XbCpt821xuGt6tQjVgR12lhNghjcfVgVFbCWmj+d0pzwyUIVy9uTiwX
-zR3jbSZvN0Jvd0bndtLpskauTeOH86pV02M1Ot9VhBo6X6MLUhav6O7TWgOE
-NjBFun3oRpGcSKrPbqLwDFWcY/X4ifnfH6p+iOAQg6joblwzXnTmo6RpKU5M
-OOeaQlwySrlJH+1Qm/HffVzluVerK1pZiYHEqJlZFX8Gqtj6/KVTWDCIhNCj
-QWIIj/1KU7qkWtmR/HGq9STV8549AmWC7BAJ6acCXL6guIRiRXCJP4v6S6hU
-8dG+VsVK75zQSXT+XqBWVbFmGwirqJ5usYgzyT7S7JFLHLF8TQDRRNgR4Ks1
-GPIFeIp+beycOhJTrxG2XN/XOgycGiRY7ElXfw8oB8thXcNSd/8+FVml1DAZ
-HC/VCYkH6O+LbFrOqb3lNbIDARpBihuYLScMlzyor692zGmTHHDCOWCt2Qgu
-tKdR8Sdf1YVdyy4cvYRbQi7pp5xoqFPkRZaB4ohWfu9G+b30aqIiOox1o8ea
-vtHObnQKVuWJ6W0eckSI2AdmUSPGNUCRvh0Q4r8IbtgbvvLYoZyAfNHlbAly
-FD3eSmHTLSe3Zudjb4+2C+NlA2qLCHJQpogijRh/ezbIsQ+rU0STsH0o1McV
-eY+c2idGKMcBnUywoyCPRaukeAliCVBFNwG4As/Rk1oi6c9whT4F3nBZ7x//
-ndPzfUO2v8b6h9DMi9fcRSsC/Y2nZ9WT0T7rCJFCxfZ6J05R9By/78iU2bDE
-mvSthf56J8RdDnN53BHkYiCO87SMNvoBJGqzQJ9apVTJjwFYMo3KGZ/cXoEm
-4cSK58QNri8pG7UbJ2GjAXm0sQgd+u+iLcaPlIshd5A+HEDOvcbUoQ7tOvQK
-DXScCqmKcwHEkufB1FV/cdHntS4LBHzObXM8WNFWROxctXZE3dHveo8l+hvO
-POfBl/g0TeI3um5gUK7nKWJIr7rpwUx43FhCrxGzyEYwBPE6PllhMGxi5mMY
-ni+MBwhyYEgQNBhaYAgYrjhmWLb8aKkLHMfXiGwMXYAhmnxvntzK28aeJDM2
-ffqHaVJnuH7iANWoQjkhFJ9QKBJVxcAivR+kZmdRpAdUQU0CnAkwFytDAmIm
-M4nS8HOAL/7U1WP728NAH90HZFJbBX1awPydou8PU30X7mjyHsipht171gj0
-jBYyQX9FyRpQHSoha48dGgODCQhPcNfb6dJQmzIGFYeIDy9UHH7k5WkCfaol
-kyemtgJ9kXBehaUp0Oh7FyhyHCfpV068AouN0lqUhJ0Mgd4TLBIUgMPWrmGY
-CwDTT4FhlFZnZtJiOB4ivwF/O9tzeMlYeg0YUGkwKPUoDiXFnYYxLy5uPip1
-ysr2A+I2IVPDotFyy4jrGFosYQc5GJqETYu/fxOgGCpNfR2uwiEs2NezYADA
-OuY/gG/j2OE8lZF5sBqES8gdvbkYiw78bT6jFVdYLW9mAN4xpTW7jTjwn4H0
-RICIGiYACPkJACKj+kcCILgQ+u53BMAuQBgDhRSqmBi1C+/umrEtMcCZMsjq
-Hbiktb2P24h2zbj+HHMa3f1KKe9/ALqzHehi6MzIRYDMej8Put/Dlp/nFHee
-+RhzdEsIdfRyLTUDmbkW+Bs9FJTHbQQCv0qB3GywtAzdaK81AcELjxsWSamy
-nD1+TisQKA24+7twL1YgWsLGVS0lREwMh/wVP1ZmdkxCZoxcuEi0SKEYU2Fb
-AQZl32k+Q/qpGMync5JiAH6/GoDmKhiAyLycy8kmed/0seO8NqmDcAsCfVYC
-9sqa1AnSqpJkVcGoGwoEiphJYVli3fSbm8rS3lajWtMmOmCHMOMOoSjAZ7lP
-EcZ4XdhYzKBLmPYaWXpaIjSM9j5e0ZR9TJAD/B6bNpBl6JZAij5w1sDs/jNb
-OR+zGo6cPiHeuOf0Vs6LQoWC+oBAU6JPVyHwbwECmQYVgaBBIPAGokHkS/+X
-uMeh8ExGYQLMJAATvTdkOpG6ISihiZT+T40ibe9nLLD91RnyGQkXpFlQhPjN
-mflOHWtTJ6KjX0awi4TwwlwoqhLH7T3CA2+O67eTWK9dCO9VBh/yMOXstSDG
-Qz4GLRfrRg9l3MWAnCRBUyK6RpcIpStxapOeQ6v7RN86GwNqdAOY8OiSMgX9
-X3IJUbS4eIjhqniyKwV9tE0o4DGyBhUga/C/g6yaHBlGMvg8RNURAara96uz
-FqTVkMGavXXXpuOH6X4cTRyBa/E4GbaWLdYDX5o5jaFI+TPOKKV6jHrHnEE+
-bgOI5rQh/7kxhyIWjvR/qsTFDTU+2xPr7nx5VcP9iPqAwtJcXpOwFENEkhk8
-SlDC6j06dWD2CM6ospUke4iasl8Ki7mgzqr4LxGc7tTswe1EaAanf84KMp4E
-JwREDKkZCIYIUPQ6AakbCUootMXZ76fW06sDpMAyGuglwFTKyKhhZFw7voXJ
-jq8zVHkKUyXAYMKl9v6cqGTFOqGF0cNJS9voEVAWEiS5blWlLajiZUcNzfW9
-abaEXivIq6ejrWoEWW1PkcTU9f4SEnMfcO5yS7jnCxB67GycOGFd5xOVqDYe
-NxQfE01tZstyqU2FUlrNVqvQGys4WsXSS9kKiUKy5m0LIMSPceBlKcoUuziA
-LMOOwKYShnLVkImOVuEIzCw7rDnbNH4YLDFWNQvYKG3iSoNEq6BlGH8FOlK4
-cJA00mVNaqVo7xMm/OQJwzkz269Gq9+5fjNmGa4ZciJmHf5b29c2ecxs49nO
-AThqHDg+AcnQhQAL+g6ooIUR+VZhcDx89sDsIfSGI95a3Mjx1msLsTiED9JX
-ryg6cL1IPheEg3jLISQkHbK8/zu3PiSdECTgHAKKgqTExgyj/q1XgPQcWT89
-B2D8Wq/rBAToPzmrj3wDA8q4JeLdFDEoJurBvw2/FUU3/MU/eMLR/Y3SHkpQ
-ph8kwJAe/vtMv93iGSUdFOHQvWJKjwhHENPvU6vhiLFQCectmCTkTPAZZPAR
-feAk8Awv9FLoM1oTCD0tB8iluzU2jYUY7A5EpQIQ1QZqr31/UXaBinOyLOAk
-l+RIDUan0X//F0mmwsOoZI2m4eiCaLTCp6GhgYcEdswYCAjzKyh5QZc4znFh
-IMdXZeYazjYaaqKSFi4s/WEXp0Rmt1khLwQZ68CKok9iojb7zVxOUAxJfjBh
-ELF6EyCtAkx98ayJcfQ4MQuGwpmDI/DQ9xLHkAsFkAAiG/kagglzJP8Fqpmv
-Ve155NVenIf82AuEJ4g4hE+KJfqVhCZ67h/MOPU5xkkYTDWu2I3xlbgITgIm
-YR2FA4MF24xSxsQxRDvABH2e8MMJa7LfCgDp7xJoCD6/U5axhITt8f/zNK/T
-OC3I8CHExyCcqHc+UiKqufMUeZHo+uqmlSTmXGFdrn5tHSQPneUx9MjZvKsp
-ZZgkIBtWa1LC1qy8by5xUJHNT8MYKqmDSsWgMr6Kb9gWBrJYgh0PK4BKW9dQ
-qcnTEgPiOPmGPRU/9Ktr8ccToCJ1qKgCROIqBCW11fXOxFWP8bQTxyM+BaFw
-CcyevqpoYoJ/i8sTnNcWeShwvJIwAga68hTPOSUMPDF9YPYE2b8VGhG0mMra
-coGWrJZKyQo4wPcgj/7OEpmf6rCwSLDwqnV4sIAnWlEwIJcAclHppWAoa0Qj
-M6AUDCAXxkNM5jk0AQ7ovf1+ah+jFdg3sIBPU2fSeGU3TGxJ+eGdctb+e9VW
-XBRWwkCnBn7kphNbcglx2xHk9ugFxPFckBxHFweylV31UXXq3tDMHNgD1i8V
-Y8kzYQcRWAOXxSyJbkQoaGf2VMEDdIg+vP2XfZ48D4KE/ydfO6PVlbFwtba2
-gjuGd42HXCwiUb4ee56feXOcYsThYd9aSUxwwr4U9mY6RIjWKodFbdmXGEms
-UGZUWGog6G6uqzb5WW2gRKWAMGxfyxFOCAPcCsIMZF9vdv6I0j+iCJ0j9Sqj
-f+98cfzryFOtHTPMjF4SaOVcHUntHlYfw+jp72JUIcz+ApIbZPps9TEYgGCR
-01Qw++k+8viT5rOJD+gxklhRwtYLFJA101e/Q4aL01zY2ZZwBxJEEZ6N889K
-JqyHNOTrBYeP0vFoCsZdJrpTPaixk+m/oHUh+P1VCoGuTB+tg8iUUZgRa4vV
-hP1GiM8nBDyiFo/3GVp+7Cw/cR1M3E2o2TAzetZHZWf0YuB1zuhZ3vv2CTZ8
-ZQAY/PYFBj+wa4Ov8wTQnjf4NDT4MEHnepKlr0pJQXLrZv2SSEi7SIWpL+8V
-mDQewld1gdKhUJp5xTUhSFAtLn8wu/qOGW0s2MIbIjv9h0kosVxCiWoUfLBU
-kcAokLF8QABveyFPRiDI3lzkKeA1i76roVBhKKCZAX/21pNbXQAOMAASiBuq
-ZFEAiZrsJySNIFkADVyIO2zKye+nOhz80Q89icTwE233HcLfId9Xdjxgl4Ii
-xpQUetq2mi05fGh2/hFDDRcCiyYHi66gEZZNV9N13+mtXLjBfVure0ePJyxQ
-9I3y7pk4tzFfr9FOohLni/Ht0EVatumki8AIqcNJouksBYr126o4ioGEqNTJ
-FPBo7IKKRg4sYN87FgCl1T/mkloKlJ4FzDCmmBl85+FK0INrP1T0ylexVE8x
-NirN54mtGSpl3PBbkCxXCVioVPOAgMbSt0ESag0TxGpmE4WItFvh/zIrpK0E
-EVwbdXQ0wSUGVjBH4zOgBSLpfokaY0CFrBmxw2sLCwEDvCSACy3S7ad42QSw
-PMWuGWDp5WRTDjACGk4IW5vCn3lAXz0jAuE62fif8B9ZfKIP4uahfVVAI48Z
-SzzJU0eAiopDxd8kTGCxhL0ht54EmiJQxEAEEbFhwtTS3VMGyK7MY4Qyxu87
-Uv4s0RJwgd0h9wc7Q6p77HzH+Ra/V8QhQ6KFLsUSt92lluNd4QaIRkGGSlru
-TBQFLXcz+Jz0VY2OV8Aj3PdDGFEu4e3UnKDqBhi9PTAclkZXMcicfWqDviPD
-RqrYMFaTZK9HhOtKmjmwrAILRCc5JE5qARFNFc0twehNGTFt1CgiUNDQJlP9
-/ZVOpIGmREYE72InTNCdA4F8stwXPS5kciZgRM0F0GjMQYMHyYFE6IIhoCji
-sLHAxxQcY3t8xIoPEMpzc7zG0tACjhogSVnXOJAgaYVou8Q4uUn3buEjiKYE
-pCT8aZktH4MC/qyhAsDEgAEcevAorb/O8DuS8ev/FkQQiBwIFHorbz8Zc5/v
-OFn2Oz7PswXG7oMeWfz9cfuMwI5HyCnZ9VjjlBToAnelqgVcSo6lasYISo0l
-pgpkaBHMadZJOsKjRBpu5EIAqQZnFjZuWLBPo1LUisqPARlSciwxNsTcWhkX
-sOqRDhQD3GcaTQf7mR1HVEMBfYe2gyR1sopVFRy1zhb0jjqxhJRWQXxLAiCD
-dehdHY6b/CrraJTQ1v07HZiwsadMAJ/YBQIge6eIGlPHIZs4aj5nYJXFNzqL
-tynlocWbdJK9TK05i391PqxeJp2DGV7gxD7MvuLMHvRgeuqpWaze6Q3+g/8P
-LJ9e/F85ybSY6ACKX4ocTyLE/gts/i8z5DNiSLCHun1ijyH0I0PY2v+St3bJ
-r6aOBW6ZzFuOYtQltAscFl7LFo/6xF1gALpenlufvTI3FzPTSyGDpwWAyXfa
-J6jmzpU++oPvB90sjgtKYUOLFSaCDRAVFx/DWJFzJYNGU4sud+SKANbYKVeN
-NpyZfY/albvJdnYG3eLDApcyUn/fUGDkx1YJIRmrkjNzGPI0x0TaiZPmxuRu
-XQWT9fGEFjL4q15hjKFcIfYtbXOBjRtuDNzq0hlfga3jNpKh92H3bsbOcQIZ
-OQweN+aRswfyURuFBr8EnuctDpddrEDu/T5d6c2nt8Zk7cjBc9994ObF4GPY
-Or3+Z8nisaUNzv6f0BrOz3trh1WW2OYTtnRYvNg+GXAJnyZKATBm9GJB4eO6
-eRKcNKkZiVVrs1tOko2v+JO3ke8mL+58OEoIfkZMhXX/S3PrO6VDX2frdsnQ
-xJn3g2e2asNkWctvnZq1xLQrOdO2+sHGsUO1gt15X0ESuEz0kBRI/ensulc2
-1qneP2qPbbB9nK1zl7xO4a+auzbzxvy3F5v55N6atvIbkQL0+XYXhigZn1wm
-09gBsxKqUSVksb0OtlrVVKdm73TPjIESc0PYzRhYnQyAvDHHLgDYOG6YGfsK
-YMX0jBq9qP1tWO3D7rfwJX2tKBF0Yffe2avdv6HHT0HerDqWW2ph+uzoeT+Y
-Onu2/3Y56uL5OYqAEiPgmdkNXPxFKwX5/KgzDESL0Jv4G8PAmp7EwAGG1G3s
-XnIEGz9jxXI0o3WzN2wf7h2zG9AwpemhmPNDja5nMRcCz/Fb3KyDWGDRyenn
-qwSVwv2mqv51l1s59PuywWapH/og6j91VTWUB0z7J+HUltC7xrlOK21uhMkx
-OmqDaDiS/kU7nKMIHbm0kfR2RH0LSOAYfqzGoQOTddCHckIw1Y2+LgkvbOUX
-HYxbZdlNZLaVg+aVmlsyCwcBOKtXJFSxnKgnPf1IPD4reTF9oQ4EupA3InLS
-nN//CHAgEFDwa6cymOuXUVjDuoJBDByQhRkDiMgnk6ALUSGyJa+ACAgG9ELQ
-/apA8MqHEAAUPDtbkAArFAUE43b6hzUJtpRwISuBDdMTSOQoGjT6LDEFwOKN
-Buh5+iHCRqJccv7hQxkKQWEgEgxUuDjQBQ6UGupY3suWzyoczFMczC/EwdvB
-bk/cVocDbDNr0C6NDz0QuF5A9zYolbl5gDq3yO/ILjEKCjaYTWv1sScbSqsq
-Dx20YJDQwJf//WcBJHQPaC4OVkg0O/EkhOIgc2QQAfCp8A4HywzYn8ibkDfy
-yfJqZJSADLblskwcpwfr5DMyeTXt3dzcB3mMgbCCLxE+CeOg7CgAFQL8ED4S
-DhIDQGPUlAOAgQADpcAFWDVUeuwoE+MCzE3vxAcLuN9tAZw8+AB/D3uemA/m
-WiktCTkhElKoVShI8zjGwIIc8BHxJzQMEUUUO2HDEoduJ7AAtoB5EwuUAj3/
-N3/FXA1OXVwLICw9YqjYf03O/gswIBDoxTRw96lWNB5AEKh3EOiieBDJjsua
-XDZovWIhEEq5hFCwlQs4CDZAlxwOghSP94fW3i7zRAoaLqzHNuy6iGQfV/SF
-Avvv27X99y+ghKP1scjngaIwnaUtIzBKwQJhwAyfXLVhgaEh4klYwsDs/Loe
-icVCi/XStOqEZ8qPARCbJNkJ3mwyYCynoAOMUGJGeHyqIOOxqa2alv4Qd30L
-E3EOFlgjwkTUg2nBqv8kgrtDBf0+4KLC/ABU4LrntFbmihwyYuaIEh9RAIa4
-g+JiyPULjoLpW0gKeY+9JHuPUEwQOlL484QbHUQ94VnhgCrz/7vmPJlP8P2p
-K5gdJ1ECZ0Dp5T5bVByQRCj9WgJDDCKIehPCBRP3yuicT68hh+mfcrj5WKVR
-Q/XGxmAWwAXoGTJWML3RKTKYxunOFYh8OyEg1ENGALsXGH+T8/AaIwwoMPmj
-qmKE2WTyiWyVphcM+2LvPtUZOcehjSWn5xI287owZ8Wm2ylXNY07HDh/wxhx
-ls2ht1h1LCl9MmryIgyxCzV3hqH3YtWoTH6A/5w1V5zIwbVOSp1mzZGonbJa
-s6yqqZ1/QeW8yu3NkP0rtZIKxXMXGcNdU4iHx+4zUjOEkNTc7wkbu42VjrWA
-Qvek8Mal0JAh2fGDInvIYkv8RE2usyHIUXJ8S+aawl5Rtg6aSp299nB+G4Xf
-8WHht0v/nbquH83m28AKvxG3wVRM5Ku/dGefOKdVyi35WcdsoUVjZbgQXFfQ
-KFeTd9n874t5gwyGI+ZjXHXZrZ/ZfqUsZ8gTn/jRBSrOUj494XFv0n67cUXr
-2+bUw7wmHlPRgwZQbncyja5KL8FvTthyE/7LarXikemxDWrNW/g2fwC5+D5X
-F99Tpf6uP3MNS7cYS4Da/drRw9gtv+ncMi+1uuayGXN272kyAUwLPD4FGGd3
-TkF0BZf8HLtnGCiqRGVRLbP88Hp8/Oes+rJUWp/ikvBTqjxwQbOIevkHnDA9
-RT4pNOdQj0imaIS36JhleeoCUxHj9bLHp4bFiO5yLXLCYs+9qu250y67YKcr
-dzWgd1o6QNOcHZNnS7qdk8RCpIf1EvgClGtnC93wlwoMuqFrg27r2qC5PXr2
-3rW8byIRRFpnBk96whaRc9SEjxsGjy2qpJaddTVkzYHD5UKI9eTvLfEt4iBz
-mZwp8tEyhUrKFlvh+7cluJBl2UB/T6qAMN4yG+97SzoZMNtvzD64JCUUMmKe
-FuCMl3OOKELKvn6UX3Ct1Fl2iNfwOHzxixx9Ql+kqi/cHk2pdpacHT/tzY6+
-GZ0CKZvkP/0Vi5t+it20qmn+KtbHAnOOimS2iYtlOtuLDDtlw65UGzYxi5PZ
-wCsoZ/UxQ4kyi/YCFFRdxVcnbNranhYpsLnVnMwgdsNNUvVMVQOGEmfFSUFT
-Wiw7AVBKSlxxH4nIrxTYc723Z5dqUXuuanIO7LkS2jNfHy4F4zTgIy2d2yKU
-cBmZ47xzWiNNKeHTUqeNDxi2n6gSDwQKHqmFMVt3BhwxfkZ2+zENfIi7ZUqC
-M1oSL1riRC06hjnTb7DQ0XllsWrJo9sMchSPxu+rKf3x+46gn8OYDHjkV+fb
-ZpAyC2akp6ExYN9jMfGgXaRzzEXJktt7bOqVDJt+G1Rtwr4Uxq1mXWTcqSZg
-VGGz9SbaNnMeciG5WDGMF4OufIsbE9hy1MdZ86tkzbmAUX003jpuRYFBa4a9
-BycTcYCCqWXcNk7d7jdC2vX9tujC3prEpRLjMJUYumu28VKVjfsKjqSm9xwu
-G8W+2rV557KI/yEfti1w15It4V+Xzdq7RsxaTJuTQwCumLmJK4kKHtOOO2m2
-ZhyT4au12hyUVO/B4wEkeqrzf/ScXMteGgjjD85XXZG4EE+GlL0LkzbPTHb2
-gLZ7wDkfv58F4+P3g9vEeqJd6jWRy7ILMJX4b57Lkseya+Ml7rJcodMCkB1h
-83meRUZgzVEs8tabMhTvM86Uk9CURVDTY6aO0d7C30EvPTRhNWNkYljPPF+c
-BueYL2rKXg59c2DRnSR0WPnX0am4Y5YKlLtFtkvsBatGM+UWjf9syW2n8Ua3
-07gUWrS1AEA2+/K/s2cJ9sxnV7jnpbqfkll9PMJoKb2EKcH/LrBvLfrnUiJq
-30P8t7unwx2O3xiasl0j2dOQWNoHmQEYoSkuc9H4SG+d3hrdiLI5dzV7yLEe
-WjPeohLNrHkLJ5HIiFMYcQJHTD5rnfoM9cOctIAqVrvlNj6ex0DLFENi0O/A
-Sq7W8o6z4XLOhq3a48y4xLlubOGz3b+SRc7b8nPVtnzbyS6CkxYsjg3Z4Qau
-NxVdojtvn8Z3SbcW/sPvrMsZ74tasOeEHX1kVSHWG8N0yTrEeOtz7hjG+0uC
-7v2nM7RNLNAdoqVaR/fjwTNancAIRLMsLBYssF5rYCELDms7gfGWfFU/8cds
-TMdJOK7PsVfOZqVLqtX1N2priLRJBSm9r+elBhtk767td2iBfxb7rWX73WNo
-6gCKtwzA4u3nwVzmjmj7vsAwU23sCfZkinIJeuDUG/MpnPSbUBz4QC+rUZph
-cxOFCGe9TG6AJh+UPkVZO9bPbN6uQ+9NptU3ERC9gf+gpxN21uOlghOFHvuV
-Io8ds6ZOKDAUC7vzFLjXLnx2wh42CUO6KBXjJTMuwbpjVSMW8alrZusmA3AD
-HlRohEZukvnuKT47jVyHWHnKVn4vPbaZAgHSzrFvXNRuNWwMpttC38qtvTIX
-QmZDQHqk+eK+Oa5apWtv6da3oiFVbqdTuCkwzdn8OG/zibUxzuiijdF8udl+
-aP/a1xJ9I2/3bMjcFSBjj8TahxdY++Eitp21m8iyfv+HucOZ7gFHE/RiH1F9
-QCbPPhePbfHlXXhntvkN3r6l+bNGeqNFZZieI3vmdjjcHyiPdeSf9SWI+0my
-B+C2ZXQHffXWogZvxFHi5sj51AZPgTSbNs8tYpotmcuThDQ4bFgRur9tYxxZ
-VyIZh+dma7bD5C7aWBA4UvjGVpyKFYsS0RyffW/CP14qMlrJI9Nqwiuv1GhV
-sogj7OtIooGUo4H76IJrtkpjzEm6kiu3r1PLhdHGPlGXsr9y4mJpgwRLpezj
-pUEzCuyWdyFtVafMyTiREM5Iq/Oy0Mjw0G6qgpsjdNQe2zglsWeBRfbMR3uh
-J96uS9sUJYEzEg74vFZSS3ifqQa5D6tB0kf6ip+lt26mGfjQKHYWWILhJWp3
-ZouwP7pi3uFVchIBNxi+FQfP8NgmsUJzG/SVmWPCVlgRATxfAh5cWEatFogd
-Jl48VHgj84s64xu2CGPRTiVLfz1n5icGJpfk4hJne7DEOu8+Ez9oYLYJ3Vq2
-yBd0J+hddPFmOPo+c6NkhfS99Ij6SrhQcqWghnkQykWK1xllOXtbQ7gHA+OU
-FsBPsctyzi5xaStI/G/1SZHpBmU/zrhVJZK/VWCePbo2zx0KzPMw/fZIE8nn
-7VVDf4TeaYL3zDYK67Khz2iLWdLQQ63WO8AGsVquCmn8xccFum2GCTvjB4Xi
-Ix5dlOIusxmK+VnUEXXtFmtzJvkvFbQoYNlmyFe4UP3yXOvgeKndPBb+Lznj
-tCCJjDTy3lK17bO2lUDsB7U8WCM7ypJ++pxmwfANMNDlXOzzfdX45XrFsEwC
-iRWf7VqlHtPbZiknZtU2AVXLANeym3ywc5dSgaBNmOY/4qsxCtqUSr41Q9qU
-fPKsuzal6a06Nz8gfl+ZM/u0JAP+fbsr+/wPfPkfgWkG50m15z2nzNs+dy+Z
-qMq5b9aA78B23l0kdkp/d5030agnm23iKvbveVoRWYQbhx/QH2IFHLNlJm4s
-yTtcQHImKr0xbwaXNVPiSK8kUKKvaV9xonU27iYK6myBfWqPmrPPJLTPSEoG
-JZebsi0tzztfmIT+NIq94ZbYaAPjZc+q34ANASU2XnO7+AvC2TDgsjNgHJIE
-L6vcL7SfuFSC16o9slc1pQCjhmZBdPba/PqcQaujjcTT1jhP+47tz1/k51vQ
-R3G2laAr1eVOi8w6zXcdYTaM7zYqEKXTWmO/Ayettup8uZkjqWifAnuu8/aM
-x9WeR3TpatN2s+d35R3XqqWt04TqQ4hSF5GPhanWubSLulNn51Wsnnp7dbEA
-T2dkrUm3u8R3vuzmFkOO4fcg2UW2m2Ch2GITttiSeVO22pVyaAB031wYl3rV
-kPKjVAtcJkNhO+xXn5/dWYrmjDEN2vYRYIlt3qENz7iE/Z/nNFfQAB1qUt/a
-IBZZcRZpuQI+go8sU3v+OUoMrFKd7EIVSGaUkW13McN8WMPnD5aYo01zVvlx
-fg+xtI8Fo/XkfeLg3HzrT25gEYzQ+srMEjdP6e2Yfz+xr9y2SJ4S8R94KLTE
-nb0luu8Op+J9nSKB2/igJ3qzJbz/sHZuRkmMUyNx5YPIMyG9krIJ6pPyMH1D
-jf6wOce1kkUU60ud9b1h7bfiNl22ar6rFSGK78EJyleDy4zyZb7qWfbBOF+a
-q0FJAlsosykmbIJapYrUDsmayIbgFM3/HbePO13K+NueUt9ZEWnwfK45Qc0w
-LvKLrzi/mDgr/Jcj+cRZouvPp8V/c4GfZ6x+ESUYZh5XFcNJzGqGCGG9CZar
-TdB3oT2BOtkJnSrAUh1b3lgTdpzZLkTsfw0LvXsOZ7cVfafA7CqFZhf08TsH
-GJodrpnfrokYcSW864Sxl7oNyrwFx1tjsJ3fBdYxHlW4WiRTxldlJhi/3+F+
-HjD6Jv7SGwskxGEzo/u++hjfTcLXPM4eOdJ+RXku0f+DpGSUKGm/OMeTdsL/
-l9kN3qGu0OiUGyDHclwCE7tdtnWIJ0zURYYBD6vMFIaXSGVhxVFDP4ut5QSl
-8jDeI97rGyymIStTb2tibwzgSIkpMDl4OwtQH0FsCYurYYuDtSG5/fjZra5A
-qVbGx4K7JFJwclrszK5c7e3GD4vKrse31unIAwrMjgdgc2JILe7zBRb3PbFQ
-F93M/JaIDgYau/56vRll/jocKh4YmmEnyEZW1MJsS72EjvR/qp7uzYBj6WPi
-DA9acb5XiWKHaS7f8695ysLeBCUh+DL/n0sZThkQC/3dxXlMY8exdlae+TQ8
-sdyq9rPJRSoj47gDOfIgMhMcWx1zswmmWht1kpTbyn1qvhsr7OGs8HW+fNn0
-zbBs6k5QeId937u+1yVMCtW67B3SIhfmyi8j+PPHuaJoLbjVh/gFLenSbFgp
-sMLUOPcUz7kHFlghjwQUv8ceUL6zqic9cH4y/28GmaGaYAIbjLP7TwctHa/n
-kIIfcGmiN9Yo8E1vneSd33T2p6eTiodjy2M3R89akf4+PnWYvR7d/ZRNrmzu
-zl26CSLmlUu4gSNveokzPQS0lqNXz+YiXomEyf8lYTk0KLJHvdTQLHZ+3hKN
-iSQvX5xjZm787mRd3rwSNq9KJ/Pi3cv7WjYhn9YJgw1L62hI+LBMRsJl50xO
-1Br9R45aG9zYct9AF6XV5hW0sbIt+S2RvuVk1K4NzsUdVGBcaaFxBQ3fVX5O
-Bd2QlM2JHNe+lgFTg6LHfnn6ACiO+sA47j8dEbOYWNDOQLfVFJqo5cRx5evM
-nK/BktRV4fdZ8tcxUoyMB739lZqfGyeGoo155D7U17woKp7+oFCnxrjuUn/U
-U63mDo1s7+BWVFFlL8z2aR0zIWHKlP2T2ZF03HEM40qIer3G7oqsCDvgyY7e
-UDu6//SckhVNAg9V4lDN4rLqalpYGg+qacgU4laqHdnG+HC7QDhtyDiTU9q1
-4QCVsKi4/fbbt7e2tkaHdGlEmefJ3R1xVu2AOVi+n40IO2BwibnMJ+dPt4Q/
-g+EcI4bzy9Owum/wEwvqeQO1dlBYRwxduJkNRnKrgw5Hukq48amaD7K0vnYw
-jmsHyJiZ5azEgAKmOw70vPJaoXnmGm1Eqzaf0F7qvJQvhU9ITnm2yjf+vdIB
-VHZCy2oc6n/Y9cRsNUnge+pV0FeY2kLb4bzSsUO9kcjknSSs0SG7v6TBJL2Z
-DZrBq32PN5dUzcWVoGU7ofFabdFoEVenwyRarPr3nFGkeTnfqVuZDedQMRWn
-q6YToZEdJHwDEnbH/nbIY6vVaO4jo+mpj+FriYP0+2oYf3xrtc17RKQ3+lX8
-RzYipiEpqsA0bHlirFfJq3PnXES5JGGjF9LBwk3eYtSj5L0MB4AlfcJElLOW
-1Dkb/uNInZCJ+N0VAwKqKjuqMpOh+yEcT3wVyEwNG6q10Hs5LZSzlg8DRwOL
-EWtpSArm0viGMm2ZDGwn8UPEujwIbkar6aNevXo5CvM2lFTb0Je6tiF2N18b
-kprBVBRSq3VNN58KKqPHatk2UE8c4AznNXgmeq4SBNYQ0NIIMM7xnxoKPXYP
-LIhZQASNmQ4ETZdmE6udhLaT2P/e00Sp/h/WBu5AfoseqNHnnPkIU6XO1bDx
-WOX/XrUeevdi/pvxuqWgqigyUod4bDWR06mgGoqcJHu/0NXE2rZnXUqoqJLl
-2BawrRd4y0nzrYhVbqeokqUDW6SSVSoI7iwtGu7hcQwVfblLy/F5BPI+YiJl
-NYNVge3UsT2l7FI2610l8ygHt5XsJBWwkXWUnHUImkXzaolRvioykZI6FPx6
-GzrC12ymJJ8CtXS7a3uK1ZNY5CZuSv5/aU5YIXiZa+7mXHBZBUmDBa25lxkj
-MBHFFHwzKJoDiVAPh+bShal8UGgqFveruXRpKoEw1ku3+UpNUHZItfqREIk3
-kM1mCUd0NhCniTs1s7KBiA4qO3qa9s0a9rss9eZCcTDI/qU1ODWVHmo9gZVE
-TDksba2gjB9gnx5EvIG6jLx3YeVpBmM16peYIGh1y1Xp8juJb15QN2G2Ar+i
-/kLK3mwrcZALEjO5+xSZbgNJza9TI3+84op7xZsDn6IsFAljp2YgEo/nbaSr
-Unj3NiI6t8SJIfMpqIhvvcDNCsyWNWoVRhSu0yZ65JPmv+MwRkckhUnHWN+j
-/cq7tjg1Cu0AzXXk5/hmcGrGUOaV9D6D7hQpSQkR7lWIGcxUmuL+4tskFrUQ
-uVxlDC9b8FExE6gGeEVNABRyp5cbNVroeG52XseqJZQ1GQNDQO9ayr+4OsUo
-NWdJE77i0oSvwjT/xf4wMHxYQhwK/MAScuGzhc4PeXMQUyiFpiDNEZaaDqyh
-ljUJLEIOcBhmFuE2hXZMBVEEyWpvDkHrexqaR2gdmq0B7mXOxX9wfpCFiHS2
-f71Lb+HpZNqeNXKrkAPBrWvnC8jmJTXJcI+U85k1LMrVnTyGvoSfS8JvF3mI
-X22pM0vn0u8IbAdXKrrgJacxV3C3Qphu5qxcySjEaw7S2KI3XPFYrCjWsLlT
-npCWmJN69Dgu9NXo7AivTvRV5+wpUa9peg36vsCY6gNjqhNjWhgUfdWg1ttx
-IGJNsbbrbfHdNpG3pxjmRP7tkwsanEFtkuFbloOGIuHtMp2aGLuwJMtIRzpw
-Bf+O9WpWjOgbBY7n4KqIaOqeNXJ3XnHZenjoe6aoORidYLXv0SfK+s33aG4X
-j/XQ+275XnHxZhY1BUFNDYwhqQpW8FVN0frvZs22Lk9MPwFnpHwU+4ycyBE1
-CjJjk6verUg4XA5toVp+1AeZdis9qCXE3NnhC60wBjWEqMgSeIcJvavH+MQL
-nwY+Yf8RrtJFTiXtqo/VBp65Ldw2ZiRKXMHL84w7WswuDW32/AweZd6B/XIN
-aT4cWclJMKspvcwjW/IL7tx4RdNZWIS7VTQQUmslgKgKUCwpVimwgy5dgJhA
-ib/ZKu8+oWusI5FPVVydOqmqLizpyl+woXCKQItvZihqJJFYSVptJXFoIu/p
-KHveuAYzcSZS50zkUS1JWY86qgP4HOby8VKObmBDXA89blggWfN9el2aig3a
-DmMZ2fVXqjYVthTtX/5Wgb2I8yizvSDrtt8uDWYP2cscHs4xAcEmcQpSEswK
-XlnYE7V4woThXWonqA2VnKHYMgbUINuHPsUyktAyxJ0U2ZxwkhmIJkdcRv/l
-0EZe6dKFWHpktc815l1IfZcuhDNqPO19JHcobtAuxYlBVzgZgieSpJM9jA3s
-oRxObwwMwMUoR+YXPTwW1A70/XaXTiJ1TuIcYoyX7V7xYjGmwrXtUWAIPRR/
-ttTarlUrztuj33IUcZCHCGrTMR6IfU7dxR3WvzOr3hbcMmNwC90ueNktuDkz
-DpIQFAV5eERhmn93YYklDV2mmesZn3HpJbhMOfv+qN+cxnSROOGQ6HpDMdh6
-Fx0mlt/yMHYoqjYcfhzezbLLgS3R3l1iPQmXPbLb9eKcPtmLs+VaceQQhW5L
-D0WzLTvQXKNo5hWx4OFObm55oRjIFnOHGNagkh5KsMJY+lk+nVUuWHD+k6lf
-44rfnVW9zrKFhbWurbE0wbw2T8INVJgI4rbI958+gIWiLnDE3R1Sfk8ccCfw
-nhckzn3MAXAD5C7mqFpqNGaTRvxELwQcm7o+PS634JgD3KtXLyb57xXrAD6O
-Ww5oCBsEXdxZhHNa6BirzPjpQ+vWouvXggi/T5mfw//1UtlSPOoa91DQBQ9h
-bbSu5tx1JUfkYSXEETr+60MaYRZGrj83q4+U2o4cIl9VmUMpqLXd6X9T3K1F
-4LrHW8WnWITEDCVXmjyeYqnjXeDNHT8PntHK6XDLgnP0+UHeCgJ5SFZwvnWL
-at1NkJ+KHYSzGjN19lJtq24bxQIe2g2/y/xS68wrwLw3gbNhArP7AEt9GL5u
-+aMe+thyhT8eQ3hH9oJPaU2PGuIq7UHQr776jpNb4L7JgrCmKb7WiLAFj/Tg
-ZU1tmXnJ6YrxHP9cqisdrrFGApFVxTjGqF5j6DwrefAocSH0uZZ6fU3Tr5bH
-Vjsd71L0Ul6tj6wFMwgPozi/4BYMuBV3q52Gq13l6rHgDeGi84In2gdS0CPM
-j2mB4+BunL1snbfeuFzTR7WzP/sbNZGtui0NrXTECwBnHC49rXRUjWl5lr4Z
-Py4/FvwEHkvxWEXhGyx/1FMfC9aeAc5r3keS1M7bVK1/sPapxn3tsIJgxV2y
-DLloTTXqSpO6F2DXuGSA6z04YwCtd70RuRf5AbyTMLFE75mWvIvVTrpabX4t
-yASk1XPHpGThB4do4HdQN+vdJOt9wGcgd6w3e3RZlnDN+QEGrC5gPhuTOGCL
-fdD3VeQnZN2WBUve4zOudupgjlYL4p2i1Ya4iN1qx5qY0twFX6TeU32NWG8t
-UUWJ8+KJ9AS8yV0mvp1zgGC7ao2TENHw3drV5RI9oUg30Ya1xYguSfFoLcFG
-dE3lfSrLq8P4A7rx3TJD1zq8ul3Ss3hJ87hbdqQitWrvDz2uLrnrRfu0x6oX
-8nlbSOZuNi6RgSW3hJa/W3FUp3JAzEmlCgMXyet7AwArJctC0v+vz3PFoyj2
-S1phgQaxZm47UOHiqumH31vk+kcjhrFsvU3dEvOUqnCBRar15Pywrm2QyhvB
-kg05Yis48tlCy9zJKnsO80u9P/5jXca9MFV9LrrYBxUsdpi4QSC+m9sTIyQ1
-du8R2R0nwck+dx5x7GdbQbT3knP/bEubBEvLcpBYwJOAUjcWmGs+pwwI3LGU
-Bl/VK7eyBav6em5VYywqb8j1y/qpS0rhQ1XKn2OtC/3qYnEjOcE5rWrTHMGd
-6RgKyX46uEiLdwRzu7Jlehht1SLv142LlqPUHHY747kS4pllkDlPYLlH9ux5
-4WLdflJL4WMVPIbtgsUr63UWfvnyI4fkTMm5e37iTqZuCP4guLe8yctzcmLL
-2DdcblxB4TJsTup+xUlzuVVHe1JXK+79dMyBVo1rNrELrZJYW+0HFzyTx17q
-Qi/x3BgjqEfAVK2zre++3SztNrK0rMSLutgE1mW/vnvUAKw8fYSW4rMubafH
-DMhoyidzoc/wGF8SMEnuNJTkOfZmTLOSR3IHQX5VcocXO5GaMedIfJF6s9Uh
-0ZzbxaImufRIPasqt66jh1bHTGXeSPLIWbnmRelKA/kKjz3mG1+ZfrHFzq8m
-LlnQcnimDzttXci9u+FcGbvjWlcL6ve8hl/ZNs3OpDXU9cOy1GXP8NpcoGtz
-WxdrWKeP0ef846IT6DNdJ/uVFvTmuJrTmuqUje+fZ83URwU8B2Uvynrm11LT
-dLaUaRgMuV1oWMBc2EsrON9KZVjUtwBSWkb6oQd1WpX2acQomMkW/+rMiOzP
-4CGntl0yOMIv8lKqEJnYGSweePPk3q4I9u1u6VTX8bAufa3HYriOz/A6nsvr
-eES4jp3XNsY6xljGmNcptdW0VYwVguq/efFT/FAl8MMWOBm/pn4BNfMWFFbw
-8WWVv53XMNxN+KlriE2ZisUH6bLjSH0LaOLkEa+ctdi4Xr4x3P2ZOv0rS5XQ
-EvVyS/StbjymnDXqBlF0l4PGyep05xMsTJI9fS45LFmi2yYLO9JHYj16LOZP
-E6yPrVWkhU0ATBaQlpIXsFQAzpJfn1L1+nCIIr6yor5SrpfySyQ9Ualzl7I+
-ZZdwCNYoiEvuR08zeuNrJMdE2MH1IC+Q32T7Xhig0Iv/YHEYhG7hncluR3JV
-76XLNeFIhLzHZI2zeZJbuj27WbmdZOWO7HLlvFIlaNGrooWpxbKR+dyqKwZw
-0ecxPokFLG6VSvws1tZBUNaXVU3xkiE1eF4fyxxBCRchrOTBVdGVy6+e75Cx
-xeOcoNGbrdxq7sEaX7CRAVscapnt3la2e4cvaSgIFjHyq+hB9pnWrpxbu2DN
-9uhmzWS/rRvQ3LkDyYeSWLOUlyvJbp3Ugs+wEBEvjnYk8qrR+pXwbFztMCfD
-z9FjZfaavGbhihUtWKKQe16zvW7RLBstq1YTrFrhymnxTrK51l626mhbrjRc
-LnkrbrtA6CM9zcVYwCh1PSEQo+u1wagIg5wtCJO8qO/RAkapSRVatDn71GxW
-kH3NsVgsLIY1cUwm+1X1dJyu200xwQfIsaQDiGjp4UNwySJiQWf2CdHXQ1c4
-XLQyFq1URXVdQSx2KdoqWRIsVxIuV2Q1xHDJXpFRTdqH4Pvnx+8zwkX/nJz1
-+nK1duB3SW2JWzeLGNYf6ydupN1CTqNDt2oWLiD8/8ZQ3icnS9YFznaVBRvt
-F8w9dYj+GNAK34iFO4OkBy0MvYh/zjS84RYsPQILR4/VqN+0ZcIK0iMVocIu
-VirGQiVdrU8gEdPsLgoU7jqlhdakhaTiEJ+XCdq+kF27d8qAKncYYzHQVXOM
-JFff0I4aXY6kCkFlQlC9DZcIF+RTQFTh5QgGtPJHbC3C3fxqN0shpzDYOcud
-sRPzb0hkHb5ewytQLliHkj4GAMEXCm7y6KFlIVOhx2rYF6amMXIuj5eFYZMo
-UGxZUGrhtAqitR65ZJ0kVobwAqn847SnLo60//mlSbRRwQKxNcHqvJmLsQkl
-nqUiXqQkgAteg2wEep9BEyyPyMFHIekxMLfswmxowlGfbzDX9uVuFke2XkRj
-/53FYe9GN949FmNt4oIlSR1WVBNaKsUc2h302B0aK/PdZ4Lg2lcChKTsuCp0
-1/u4VIdrq6bPX233/YZ68wUXae7u349SQwEoKjlQvKfAwIt8mMdR+ZB4QzCk
-GWHVBnSKPMoJLLisu0/sBfeEm/albglF1iQaV3Dfq+cg0G0XH5RkT/F9HxPc
-91r+vxOrlKrVuRfhouxMBiBlOXbvXICb91RQ2XHoqfLETw/Tmug2ylf8qsRY
-krjYU1nPn6vsnzbALUoRHKKetCx+eR5SFS5LECwFCTode8F+S5dk1l41Jsz+
-qxsgCJlEx3/GBSlVrQW+qtO1MKcFBDwNeriVYyF8Ccg4gSAqO3W8gSfJRyV5
-H5Wqj8JioLqrGYZESsRuBcouDRisQn4RPCyEstPq3opih0SRT5RwDDRhP6u1
-T+CxlQYS0mFR3GUclGDopvkiZYPiNZDO2WiC3O+cOA6nI+E6nXwRXbEuw1Mz
-+mRj9uKliPixVAADyZXwAuXufGJ3XqIfY/O0wEOlRavhS3JSvMsvRcktg6oq
-Fb62Dki2z3UdTaKmXGuDrgifO0+rspa3qCMcrXQKRx+iS4GBKIYpI2h7jFz7
-gy7JeR4J0W7dLINkC6ITCqAgy1DrluHL26S0DBW6/72zWyb1lzWA4OV1GMOh
-/nH+yE59rMzfA5jYxYdUIZYhP1bKLcVkvxQMDBa/EqZYNBklBYvi8ZF0sSjS
-YltE2PedKvujjDaO39ed0YV2E6zLA6dLvbI+MX2LORbGHpYZdw2o9PkdE3vl
-gCAKNbWZdrl+ob1kBSb5FageFMGPDRs2jFeCVGwMKUYvHwuA+4XFkKsFcKip
-omxoXb7ZaUgUQRJVsmpFN9uk7Av0td7wTgiooZvdx91sXKt0gxMKEcwHm3lX
-hMYQPgqUDWq48WjpxHX/aa7mVOSfgvtf0+n+H/Hf24T3fNdujF6KCtHkAqP3
-O1elSZcnGG42CCCEEEMnEOD/mb1xxwOlVAqVEl9PC2f/W3c+dXee6/FQq3lL
-T/nmWzmeG2nl1vJCWU1et3kxHVhFnj0QLJy7bbTX7u0F9YGlJ3yn0+yOCTlr
-/s9u7qx0vkQnF9zZQ9ydTfUXqH/iu7r3yHo4l8I7W1KurbqzbNNBajIN76y7
-r4H2r/DdBKcGd5STii+x8CG5z1uoRPj/v9LO90WqMorjTzN3Zzdnd11ZSak2
-NRGl1oqi2NoKJFwywzKkiCRXC4LISIoiilwl+oUYZSFJokjStiK7uW0tSRoE
-QQRBEPSm3kRvetO/MD3nfJ/nufeZ+c6hTLjr6jz3c8/5zplzz3Puc++kR1Ts
-1qs5kkX8hCy7obTWLcP/B5H9ERef7NdnrwU9bjT0xbIE9wzR98Gkby9+0yHh
-BNrbmn6sKWfLDnGL8DNk8i7i1rCAIQVrbzVY03oWmVLJUqXQsMIVTtFT6kdR
-VzOGzJ7kTQ21/CUoKidMUbVDUScPsOvX554EMW8wMu8DEPNZIua2JOaS8Gol
-DfhjeUWl9BjUYn0wiuZfKMWUYOwSqX0apaEE1E3mRHr9aXNYKpIEbKTJagxa
-ETTPAjEFxw26XthbWYPXKSsqdK/rwaHYR3AQeIm2do5URJYk/OUTSdiYCTYa
-kYpWmXsuCdl2rei+9MJAGa49KVy10FBloXE3VeMMVKq60L1Gis2qbr3wHmSO
-6aAm2QCXFjQPRGn/0oIialtvC9aKqDRY23NsQ7V82J+bQvvp32iHysvtI4G5
-Nck2VMrWQH22qvDTld7WZzubGpS+1upJSoTzjhTBkEh6jxqN1S5x2XIsmESx
-L4J06SUqkkQ6B5RH6Xgtqn3Evw+ERb1Z5fvFnv7Wgt/uXFPWSJYguOzhnieC
-bEmCDIePejytyKYxINVS0XpobATtJZSj9RQ9RTh7/JlrUVAZ5Gzxf2TwmVOq
-znnv/DwEqAZFuGTAF5bj5jP3AhHh3iTCikru13wlYSdfZFYLvYUZHx1/hLKk
-q/uHZFHiJbuP563Gu6XP7e6X+2j1Rms1Tvu5+pjx9Of6/L3PFgegreteJG5P
-JLexyqce33v1v6aHK3TZgLSzpO/rva/6u1hO/gr0b3VZZO7v4TDTSP5miWFu
-stn6fLK/Ne7dk021Ji6OGuE9iSEvBSeqc+HNycXVeXhPhbDRM7zPAHFxhGwT
-o3hG0f6ty9vdamRu7bh9pDX7eLM1u6tZk7sR6uICdNPomYpxadUkaKO4l8kb
-dE+yfn2n9VMxGAbCAZct0zbmxRTCqmBl7tTxkQiPCHmlPHSyalM69D4juML5
-6FViO969/Gt29hoyoOZ1rxHU3QT1tIFCReL2E9RdBPWU4SCcdwcIapygtB3T
-dX1HgB3Ejlmc3kFgewwX8XF2rxO7xghql4FC4Lk38iBQ1G0EtdNQC3Hg3iRW
-3UpQj5pqBdjbBHYLgT1iuIi3z71DUDcT1A4DBcXdIYK6iaC256hMLcjkDqsK
-pMQbJbxtSTLWKX8LO75LjNtIYPcbfsJB9x5B4WyTf8HhFgMFc9z7BHUdQU0Y
-KDDcBwS1gaDK5VZMrSMY9GEJS4G/nsA2GXYdxZCjxK51BGWtejiGIR/lVulL
-awlq3EAdx5BjxKprCWosV0t/O4GXPiaI1QRhXTU4hSHHCWoVQVld19MYcoKg
-RgjK6rhMY8hJ7Jbl5KsJCh8jPh+ewZBTxKorCaqtaMusOoshn5SoZNVKgtpg
-oOYw5DSxagVBrTNQ8xjyKUEtz/XTf601tFoAapqghglqTW5VlkYXgZohKPbN
-2dcYDp4H6kxueEwaSwntKoN2AbSzxLBBglpZHrWjUPsWqFmCYl+idYUh13dA
-zREU+8KjYcPB74E6R1CXE9SQgfoBqPkSlQK+j6AGDK1+BGqBWNUgqKah1U9A
-fZVbpS8VBNVnOPgzUIvEqjpB9RioX4D6GhpkKFd9bGQXp37F7ueJJWjcdyvI
-wo7f6M9G3DFukf8bRl0snUqA3/GXTldOhv+77B+O7zRF\
-\>", "ImageResolution" -> \
-96.],ExpressionUUID->"65425ede-668b-4584-b959-e541ddaed240"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"Plot", "[",
- RowBox[{
- RowBox[{"Evaluate", "[",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDut", "@@", "prep2"}], ")"}], "[", "2", "]"}], "[",
- RowBox[{"R", ",", "0.1"}], "]"}], "]"}], ",",
- RowBox[{"{",
- RowBox[{"R", ",", "0", ",", "2"}], "}"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.867392839450399*^9, 3.867392886363302*^9}},
- CellLabel->"In[51]:=",ExpressionUUID->"d91d527e-9cac-4ce1-9ae6-5ff3208121a2"],
-
-Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], LineBox[CompressedData["
-1:eJwVx3k81PkDx3FKKOXKrza5o1SSytGh3kiNRW2hn1QkOqTWkQ6kLYXsRuwv
-O5IjosnZjDIS037MGAqDMeabksjVKlLJEcV3+/3xerweT32fQJcjM2RkZM79
-6P/XF6XbMsxyMCnNuS64KiErGH/GPgjKwfXEdU6+xyREEh347tXTHKzPqIv5
-xVpCDGeaFJievYsDnhaDm/qbSc1UjqlUwgLzH3/VBkYzmfuFaaEbl4fSE1bZ
-zfpiwl1zhunQkwexaNez5Okm4hXkOh68MR8aF3K3hJQ3EfYHlcfC/nyYDNkH
-PDVvIi79sdb+2wohFpcTp3WN5Obr8K3c6fswLleWT3YVEVstj5yOPWwILes3
-pWuKyPt9VrMUi9hQrT2nbttdT3QGw3yLVnHwU0mMnVtIPQk8bmkk086Bg0tR
-/a60OqJ+mJ17d/0DFB6y116tUEv2emSxP30uwZuO27LZZjXk4yu3OXc0uQia
-3S1nMbuGxHgpHnHdykVEQnSNenc1eegbqFmaxAVvYEqhKKmaKAdsjj5vVQq/
-zefObJkSkurLL/fJX3iEwckly8bbqsjaQjV5LcVy9C/aSIkEfFJrWu3dYFaO
-QaH/hnnZfOJdHFrxm0c5DLeE1v92hU/iSzuDuvLLcfO5ps4Xez7pryx6xdpR
-gYgl2UmqdZUkg/q5eM0NHmScviz95TEhSnTkAYYOAWe6KWgCPHLzuLuXyfYf
-tozndyjxiKHUxFstgCDxdchB+RcVZEteq++rJwRiQUbfouAK8jiPyX1kWgmz
-wUfuNqxy8sF1kOfUWIlYq7kWclqPyZ7c5PqQeQJU8hOepa8pJWmel52P6gtg
-bB4VWixXSrrVf23YayHA3jKt8LFWLgm8YNe02VMAReIoVL/IJb+7fJAoFAnw
-aa9oOraphDz5bteW6lyFXed5/9MIe0iMdg/1V10TInPet23LBzlE8yJj47Es
-IWJ7n6i48zlEtSjz2pxHQoiDbxQUMzlkUtHVdHe3EA7LJL0DthwirnwU0rG+
-GplrYlul5mwSbhY5/bWvGokMvZCrrELSqKKhYWrzFIl1C4dOCe+Rc40bcHOk
-FnoBz2VTU9KJsim3r1axDjIp5gO0ZjrJiTeL+6ZVh0sRVd01aWmk2XnZS69t
-dXhjoZkZmpVKVtZrhBgx6+AdJvlpPzuFdD79yHpgVQ/vyrWBGe1/EQb/rnJD
-uAiXZLL0eobjyMIStQ5Z2SbI9JZRLEd7Utq9VdRkLYGM80x1lbYUCPzTF3sM
-ShG6IL2M0snF6NLNKkW/tqLwYMiG7/kczJgoUF1s1AbD4lPhdku4sKS9S13v
-t0Oma112V38ZRFHmjTUrOjHX49j5L0486CYOTOQNvUGs640CXhHBwHhnB2XW
-DccChz/4znzkvK+oU77eA0WHKvuuagGUte997O3txch2C0V3XSHijnOPZhq+
-RYYbZauzsxpjNgW9fhf/gaoyL+3ZlRqcXissWVDVj/wO1h7tv56i877wWrP+
-e2iFqRuPFT3DN39p6vLwAeQz5KvLHtZipa3C9NGKQWzUnqOQnlYHxh39Y8UL
-h2C3ZAGzN74e57QPGnQd+IjSu2pyUUdEMBnco9S64xOe/b44jWnWgPkqnxSF
-k5+wIoK5c4dcI+RIKntJ2mcYM+Sv+wkaccK84uVsp2FIDuVefRfbhIKffTL/
-HhtGzI1Zt/YZiDE6oKn6lvkFVp1afd/PisF1ZcxMsh/BjD8XBAibxLjoEH27
-5O0I1u28/J7WbYb+a8cX2dGj8EmqjHQ92YyNVlFJi9aOQddt6/YHvGYc0Gma
-kG0Zw/BJkcuVWRKM1sV3B0WOQzxhobbeRYKbcl6nXQy/QqR+ROl1sgTzO7h3
-Zgi/wleOs8inTYJZFyLdNgRPQC8rdl2BXgtk8rzY3eqTGGONlqR4t+DULXa8
-umASHYsr+pbltODJylhFtYBvMJ95trO5twVqjqdMLit/xz5HlzPlulK0rxK3
-hPG+o8fOz83ASwpOBgx7vabwd5fh8PxkKTzZlmra01N4ThmHlTVIcSk6K7I9
-fxq3Qob6eQoUivq1U5WdaYi+zt/Gs6YQmx7t3bGThs555QjWZgqHXT4Y3d9N
-w99DNiNxCwUtHo+zw50G267zzmEbCn8k7K+J86HxX+s+jpI9BT/LlM9zwmgM
-6/h07XGiYBCl4aDAouGWvep+mweF6fUR81pzaTjfCXIS7KPw8kOPhFVAw6XN
-QJq3n0Ki+0PP7cU05BJ67oV6UqBXuIRE82iYKlh7/OcQhfbmhIyZLTSM+8+8
-dfSjUBYz7ttC0dh52tt6zXEKSZsOLs9+QSNm9ciFhf4UnO6alth10NBLMBL2
-nKBQHtpQG/mOBtNWw/N8IAXmKouE3YM04lILVQ8FUQjuTnPT/0ijrWoOZ3sw
-BWPnk52VIzRsnix9oBZCQU5WmpM4TuN5/oDG+A+/4W7y956kUXs7yrf9NAWe
-f/ZqsykaM4xH0/lnKCTrKo3SNI3wRhsh6yyFfwEnzdXi
- "]]},
- Annotation[#, "Charting`Private`Tag$236918#1"]& ]}, {}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, 0},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- Method->{
- "DefaultBoundaryStyle" -> Automatic,
- "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, 2}, {-0.2895361321455564, 0.33536690869662034`}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.867392859949072*^9, 3.867392886626802*^9}},
- CellLabel->"Out[51]=",ExpressionUUID->"559d6958-bbd1-42f4-b122-f3904597675f"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"ParametricPlot", "[",
- RowBox[{
- RowBox[{"{",
- RowBox[{"\[Theta]", ",",
- RowBox[{"Evaluate", "[",
- RowBox[{
- RowBox[{
- RowBox[{"(",
- RowBox[{"DufDut", "@@", "prep2"}], ")"}], "[", "2", "]"}], "[",
- RowBox[{".1", ",", "\[Theta]"}], "]"}], "]"}]}], "}"}], ",",
- RowBox[{"{",
- RowBox[{"\[Theta]", ",",
- RowBox[{"-", "1.148"}], ",", "1.148"}], "}"}], ",",
- RowBox[{"AspectRatio", "\[Rule]", "1"}]}], "]"}]], "Input",
- CellChangeTimes->{{3.857793012195215*^9, 3.857793057219739*^9}, {
- 3.857793122093441*^9, 3.857793132396985*^9}, {3.857793174510544*^9,
- 3.8577931750776777`*^9}, {3.857793323832939*^9, 3.857793339417388*^9}, {
- 3.857793933195602*^9, 3.857793988572569*^9}, {3.857794074982237*^9,
- 3.85779416292784*^9}, {3.857794299346282*^9, 3.857794311658379*^9}, {
- 3.857794444525354*^9, 3.857794472333943*^9}, {3.857794929525853*^9,
- 3.8577949346385*^9}, {3.857795594066258*^9, 3.857795598249642*^9}, {
- 3.857795848454617*^9, 3.857795854566654*^9}, 3.8577961541322613`*^9, {
- 3.857796226205283*^9, 3.857796226293333*^9}, 3.8577978585315332`*^9, {
- 3.857797892836751*^9, 3.857797929028366*^9}, {3.8577979724300127`*^9,
- 3.85779801950991*^9}, {3.857800886978672*^9, 3.8578009121390047`*^9}, {
- 3.857800968380188*^9, 3.857800968803484*^9}, {3.858850385148155*^9,
- 3.858850391852289*^9}, {3.858850587967984*^9, 3.858850605599574*^9},
- 3.8588520958839197`*^9, {3.867387377621475*^9, 3.867387402908786*^9}, {
- 3.867387457214499*^9, 3.867387468630344*^9}, {3.8673875335359592`*^9,
- 3.867387533607287*^9}, {3.867392588550147*^9, 3.867392633414612*^9},
- 3.86739272401696*^9},
- CellLabel->"In[46]:=",ExpressionUUID->"5a79a2e7-c8b4-40fb-9154-88fdcc27bd73"],
-
-Cell[BoxData[
- GraphicsBox[{{{}, {},
- TagBox[
- {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
- 1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
-1:eJwV13k0ld0XB3BzeQ2pTJVUepMkDdJryBAVRb0i8paQMkUaqISQmQyRDI2S
-SiSUiOh7L7cMUYa4zxUqlzsZkqSS9Du/v571WWufs9Y5++y917PM7bitu4iQ
-kJC6sJDQ/7+pIyEmus7jEMvsebutvQOmRyx7bQ+MYzw4NMuvswNj3fODTziO
-Izl+2Owa1QGbhoLyQttxpPMiEv70dUD2DrVGzWIcardep30e6kCi40aVOevG
-oWdvenOPxDvE1A394AmPQ1qz0Dpq8zsEZe9/fP3uF/wl3XpH9OE7uIfLap/v
-HUP4R489cTmd+MfLpSRHbQzFjjO210O6cKuBptrbNQon7rwl0WZMOEb8sb/f
-OgpjWKo+3MaE3GbjpJNNo0jPKV7XZslERPHzX+IvRrHqqV20wr9MeGSUU9p3
-R2Hnp1wQc4AJrSMP08L9iUuW1s8OYKLqT6bE33Kj6B1eSg++w4R/ZZfRqOQo
-mib3xrneI/H+CqefiY4i1+yAkvkDJm5y0tjW30dQcLIhUriYiQstSbTTfSMI
-LHzjcLiKCctrkUH1D0fwV+G70WetTHRuOj56dMcITpp8On79FxMZVL/RLfMR
-xEWXJkrOMOEQ5JDUYTSC/Sv8zgcIUeiqMdLavGEEu4QZHebixFulj8osGkGq
-WcXyBlli2weDxcPDEPPXaXdfRoHyY/dMpAzDhF19m7+VQpbcPq1VCcPIEM/6
-KmNBwfFxU/DBqGEoT1Sy1+4g8d9KF74KHEb9Jfss313EIeGOmYeG4ZFWuqLR
-ngIrYfE7fZ1hlPZ88JbxoNB9b9/r0K4h1Dm4JFREUTg1NZe9qXUIVZXd5U9i
-KPy1u3lqtHEIrQ6/3z+Mo2DwzVTTpWYIRzadn52RSOGauWa8Sd4QdPrjy8zT
-KTh9nN4udGoI88bziv66Q2FCp8L5mc8QJs+JhnXmUUiMPXnmhPsQapRua964
-R6Fam3P3o+MQAmNWSi4voLD4/FsxuskQ9mpEFs8updC3ILf2gswQHFR2Sxi8
-oHDmmFO3/iyyv/qdm22gIEtXHP8iNISE7xNf3ekUjL0uLnObEOCHjOebKAaF
-W+UB4WbvBVBJLpa71kTB1c7CWPSBAOLh4qYaXRR+3BN2eJ4rwI6/hzoSmBQu
-TT0/5n9dgBnFitkCigL99rob7BQBLKXVd998T0FtbMF03RkBAkdylPs+UmAn
-DldGbRWgqEt2Q6WAguqhxL/3GwtQHbAu+8MQyY+uVspaPQHq18TdExmh0Nzr
-c6R7tQAr0u8VGX+mUK49JLtuvgBhA4FmyV8pjIlcPCcuI4DthEpJ9gQFTabm
-QLeEACGMRxW3v5HzhB2tjJ7io+ptUvL97xTiWvmH33/iY8Z00fqEXxRq8+Lf
-lLzn40itxNagaQq/A1fpx3TycX8ve8DjN8nvMm/Z9Y18HFKLa9L9Q+HAKd6z
-mBKyPvv49AMRFrTluTIbwvgIPbixXDCbBS9eTOCsc3ysicz4mSvJQm61Orvn
-FB/+g6wn+/5iQcnd41msBx/3RH1jy6VYECofdOvdxQdjZ3fkDlkWDBKiWx5b
-8OGqsX/fIPFp5xV6cVv4MCgtzDg/hwWBhLuMji4fl7z22t2RY6Fj30BFnAof
-9JafN+vmsSCrFaXmrMjHlLNhodl8FiyF/k7SkePjUXeq8gvi6vzDbn2ifITr
-680tkGdhMkS05clvHlRe8rIXKrCwfs+df+K/8+CZfDw0lvjez37pjUM8KAve
-2jsosvCxJeKs5CAPQgPy258RL8xV6+/r4+HjsESSohILKTvdKuLbefhHwFzQ
-QNykKqLm0swDTWPNwUXKLIh9vZ248RUPl6RVxo8SB177dOhDJQ8F52ql/hBX
-7SsfUC3j4UT0FzmTBSz8mn/R0/kRD+22H3uDiTe3ughu5PPwyCv55FPi0MSN
-x3pzSfzB6aYhYpql5JjKDR6uMlfzVReyICzed8opk4f3yUte7yaOOh8b+P4i
-DxKjh7vyiF/pO/1aGEPWu+F3E/GsyXWh+8N5ePloYmCE2PKxuPDVIB56hqUu
-yixiIcGvO5IVwMNva9nPq4ibNYslFhzn4aiihJw5sSw3Mt7Rm4eQ/JlhR2Kb
-O47SWYd50A0Wi/YhTnVZk8I8yEPy0hXMIOL2RSLzlBx5GN16vD+GWJ7qSnew
-5WFfyfjdFGKH9EKlDGtynxa0pVeIs2zCr3Zu58FASrAnk7hb2n6xwhYenFQi
-9TKIFzWuytlrSPavvNWRSuwUPaOWrstDzRZ7tQTim1s67nas5UFSt2p5GPHH
-3/c15mvyoKbL6TpBvKwqpND2b3K/EuMGLsRuZ/Zop6nywEn9vnsncd4G9dI2
-ZZIv9tx5G4g5o1M6c+fzEKZ9MFKReGXh23IbGR70Xk/e/k7uz8szT//SLB62
-Gvz27SQuWH6u+q0wD/Z/X2IXEw9/2GUyZ5qL0AOtYrHEa66r1e6e5EK658Pb
-/cR+jt+3Jo9xkdnyyXw1cYl8c32LgIuPkVMuP0i+x1tzdsoMclEc9u/yWmKd
-pNMt1h+4WHhiVlIccbn4ko7XHVz8wzS1kSL+Qf9qL/WG+JpCfj15b/qhDdTO
-Bi72jn3NDSeunjzZ11jNxa95F0J55P3WcRn8+rtcmK2XKk8h710sL9t3Vg4X
-T5Rt56wn3u7q93n7VS7kr64Sf0vqpYlS+vYymYsBdfc6IeLWxqNCjLNcqHB2
-BxiS+psXYxIpeoqLgGjb63RSr3Zm8hLmvlxYxVXv30rcVVUjVetKznf8VabJ
-XBZ6CuWUaDu40BuXmpEm9T+5QMst0pyLjepV4j6kP8yJsyjabsRFsqqp6EsZ
-FsyOhJq3rOMiia3X4yvNwgOV4ePdSlx8OyM5cpH0o9qEWc9vzCX3PetKQiPp
-Vz0/1CQOSXHxNGJcUZRYrvO/69wZDswl6354S7BwJqm+YWKQgw+c8EYJURYu
-/eqf/+wDB3GR9q+Wk/73wHvGOZjFwVlF38LNwmS/bbrfhFs4EOsxWO1G+qX5
-TO6yOWUcjHW9Hgom/VbueGjQqggO/FLONPHHSb/uzX45HMzBko4VXxhfSLzV
-U7mS0xzwlnlMXBsj82vl8L1N3hwERo8nGY1S6P3wX4e5DQdCpUq/dvMpFNjo
-ajmrciCpqKVT0EeB8cLm7DJlDnRvRTLNekm8lm/twFxynlPPdzPJPJKTvOPo
-I86B6bn8J1/JvDpLl4sOHB7E12uTllPtFLZuGO5NqxpEUtjhjcavKLjHbd5C
-KxtE+eHqLSVkPsb0JeaNPBrEaYnqPNU6Cg0Ja3ws7wzCw9nt6BiZr1Zsvx+/
-Lw5i1DV5yLOSgm36l3neBwfhJ704+l4hmaeTkxYmQoPY9fiGn2sShQvWFoW+
-UwOYfrSyxOkihdzcTNmrEwMQdTA3tY+nMLBbr3OCNwCVspdWhtEUPO+fcyto
-G4DzlXMy70MoUh/TIQp3BqB9+dMabx8KwVXCj4e2DWDKyJqFbWS+p/7jtcl0
-AB07YlxszSmIeB1TvWAwgIf8wP8+mZJ5qMBKUFxL9psl+2DCkEL6iZLDW5QH
-sPCl1POx9RQeqrsoZArY8Hin2Wa8mEJPWnWgWQob6wLCDm38wsQt73HtpHg2
-whNf19mPMuFmqjHIjGSDq19w23+ICd7I5T3HAtn4lnyzLW+QiQlLH82sQ2zY
-6v0r08tiQubPgp4RHTb+XGTvuUtnwtjnrEk21Q/LBXOOZSUzwfr6tcazvR+j
-0s2zRS4yERByYvOm5n4MzLG97BnLREGSt34H+mGVMnVWPZwJpZIDOjL3+xE4
-qp3pf5KJsQmTlRdO90PEIGfcyo6J3NDZc7zn9WO697zg13wmJNKy+/SsP6Ek
-bfJydnwX8kWsTp/c/gkZi1oL7KO7YOU/LVVg+gliE/nnZC904dJeF/1Fup8w
-U3l565nALixQWpH+e/EnNKUFlal6dkHresmO2s8fcSjuoPY78y7suVdfZnX5
-I1i3QnLeT3VC7/SQQk3ZB/yRXFz31KUTxx5Ppw6n9aCy6JDAiN+BStM34S/D
-WGgQsL9k2rTjTvv8hILbXVD3cRB/+rwVmTaPy/2jOyCkGWIx93sLVrUzflve
-bEWi3JNZNYwmxIe5toqNN8FGu9F8Y2I9Qnt3cP9lNcHxXbTYzvB6BBjqzFyl
-NSHg8xdXj4B6uH4X11qf0oTZbVB84lSPTccLYw9qNWGr1surN9bUo9950rjc
-oxGJFfqLaa2vsNk4scjzfT00piVEI1VeYXS6IqGJwYDvNh3BumYGhH4FiLwo
-YqCkTFuBV8vA/J/rg0ozGDD977XG/UoG9L4Vemd5MfBu/ZuVRvcZiBi5Zekh
-zUD+yFL7xggGFPtiJUT21sFL7mWPlyGD/Nfsi9Bn0+HKbvw1+bgONjXyU1rN
-dIi5Nv5bWVCHw8/bTi59Skec+9yTUbl1iKuwOjQrlo4e7ahNuml1aC82Me3U
-pOOEUHuc8Kk6eOSsnDlxioZnEu/krXTqoCr6+auN6AvkGTo9f1NdC7Hkmysc
-2mqgYWHMUX1aC77y7n0HbtUg0Kn9v6CiWpRpF1W5G9Yg/aS6vt3NWljt97kQ
-5F+NZsX3+UnhtQgs5crmsaugMuhatNqiFs6bM00flFYhT/7yOx3TWpjXbz/1
-KKwKeuwFzyz0ayHbe7fz2SISv+bq27TVtcibfeR6i10ltIJ1ZsrlatHm8nHV
-97oK9Fh+WW7US0e5IOXAdGoFyqp3rhdj0nH9tEmSsGsFloa/OsxspcPr4s0x
-qely2LQ12+Qy6Jgpd6pYurEcrvHLvzU9pENTlrV1Z14Z8hfKpfqG0RFV3eZy
-I6oUOda5E0radOTFath9tS/FxnSHoJpVdNTZhm3fsbIUphxjbb8VdIjwtdZ8
-aywBrfLd2i8qdIQrxE1ZzyHOWCASKk3H954QzZ86RYhScRUtH6Fhk7/m3Ltd
-DxGVsniJnICGAEnqu825h7jE3HX7NIeGcV2dl/kvCsHbh0G3DzSMJvNdHHcU
-wLWV8fJVGw0cU4crFc73MZEZG1j+jIYVTNGQw8L3Yd3veaThKQ1HjpW6zcm7
-B2WG/ODgYxr6s6XXefLvQvmxZLF5EQ1947VNigF5SLS4VpCQS8Pi+BOltYp5
-kPdwi/h5iwanJapZfpV3EBixTyTgBg3dVufcX83kIrG+UjQxi4bOvLVCZ+Jv
-o8E6x9IyhQZ5w17OMq3buP7L9aZ8Eg12bQktLW9yMFy8pGg4gYa234NXV8jn
-YG+uwW/E0JBdpOdTYHQDrboLrn0NpUGx+7KeSOR1BChsG158noZ0ic/i+xuu
-QSXkvtjeYBouudzNkbS7iqwf7qnsszTEzZ3X5eWViYb13VsvnaTB2naxkE9p
-BiY23jBceoKGOZc1NI9NXUG45ZmU5340ZMibhJ5MTIeXsoadvC8N++135vt3
-XkaiicXLtqM0qGbYt59WvYxmK8nsq9403FXyVQ8qSYVrW6b3bk8avBzP2oT8
-vISyZicvfQ8atLIjgkLNLiH94dPmte40eOpuuCH+IAnP6vMbjQ+TfJVbfpE0
-TETOsZHD+9xoOKPnsk22JQFCzQs9gw/REGWYOKL4JRYq08qFgy40SNXkblkU
-GYOH09tGVhOnGVdeWaIQjR9y8tfOO9OwkPaWv/x+JMS6lJ92H6Th9haOkYZ+
-BBiLPhqaE2vUTadqvQ6HBmdobYUTDS7x6s2HqkIRd7QsdROxX6JdwNG+YIjJ
-5R+iH6AhJCVcxV/kHBKPr87ZR5yQVsQIVj8Dmz3Zu37uJ/m50u0btdMflo/M
-jt4jzs+apZDkdwLriv0mnYl9//EOWr3CB4EF+8fViOON6po2H3MHT93Aefw/
-ko9Yg03Xj7ogkNpk0EIcc3m068WUHX7knoh5QuyrscZold4OyHVPiz8g/h9U
-mVUt
- "]], LineBox[CompressedData["
-1:eJwV13c41e0bAHCiQbwksyEpEaUoDcVd8opSZGRUSEsIRWh57ZHsjKTIiCQq
-ynafY+cnicP5Hin7DCtOkhC/b3891+ef57mu+7nH82y0dzW5tISHh0eSl4fn
-76rNc+OCUo0eTGiKVWRbUTAvsX7JsWR76E1uS/pGOirG+e0+EwewTOcGC1hT
-8Ea4mL2ioAvw/Fk7BKRzdbpXrOy7Dg8WNhT6kU6BArsllR7goFQ/0UI68qB/
-ye8kL8hTaX6ieIaC/+03F530uA3S7KHScNJue5Qc2Mb34OG1St050m8e/elx
-lfQFszmuludZCipLs8KdAv2Ah2991jzp9ITWvVe4/lCr0Hgr8hwFH8ZlRNm0
-BEEgZFyl2VBQWCzigPXBEJj3LA8ItaVgcLQnyzw3FFIMFQT07SjoFWEAJ4LD
-YSrWxJRznoITK3eN6E89gG1jBZL/s6egw/11ibr2kbCzNFan5AIFX9V4/Vqf
-Gg3Rg69biy5RcNjf+ePa0zEg/nOvWu1lCm7ROZ8hIxwLSt1fpr9doeBTyjEj
-iTtxQNn5/NUeRwpGV67PFrJIAI81FnkurhRsOnzQI2Z9IgR+SrOdcaMgf731
-YcnBRKi1bLgedYOC3i2JXzZcfwSGlep5QzcpaNezSnRXeAokPTYwUL9HweQL
-O78Wn3oCrxee1mz5j4I01sncg9JPYX5VYKSSHwX1J8J19bJSIceZEDYLomAS
-T0BFnu0zSHKu9DwWScF3OmKbvlc/g7uXeDVfRFOwLfBZmNqWdEhRVjsoEUdB
-IQHK6fej6TAzFvRDPImCvqv+TOCtTFhndI/5Np2CV+W9FNrjsqHWFzwvl5Hx
-vbjsgcSvbLA72s5MrKRg5vN4roV1DjhcUrjaSaHgN+Ui7JZ7ATn5E/G3Gyho
-smvSivkqFyqqatVsOyioqesU+bvhFVgmGJon/KCgRfDs1AGVfHh4/bN24i8K
-ejSGnfGJzIeKIz8XM+comG+Yo8RnXgBK9ztmmHxUjMm9cX7Z9dewzvKcMb8E
-FZcWFsyJLLyB+ZavjWn7qdi12via3ba3cNf+1fs12lTM95j49tr6LbS6aCek
-6lDRco9a9anit6Ab931N03Eq5pa+DY1zK4TMwsSmZzZUNKa8k5AaKILdpvcU
-LIOpmPyxfIdsYzFIW+xYUf2Vii6qZ5+5TBdD0SkldswAFY9EzYvh5hJ4+FpF
-xZlDxVFjrWlbvxKwXK9RDz+pCLSqimeapbBi9D3VXrgaB7uoBgqvyqA3+Lp2
-HFTjDnbDhW2xlVC0NVDB+2U16papx9nUVkL3tjQ1+cJqtHzwpDp6uhJ2b/V6
-Ri+rRt+d7ht/WldB84eciItN1djqLdtTuQkhcGEjLh2uxpJAzVfZ1hRoHMh+
-YqNSg1YSMUr7R6nALy/Ap/a+BpP3aG84K1IHE4+vWboN1+LaJ+dGFhXroKKz
-67fvVC2m8N0rzjhUB603TL2SF2oxtbXcaOR6Hbye3NvHEqvDTMf9vrdpdaDb
-t8lp5EAdFjzd3Zf0qB7sEpZIRkTVYe0ylYyOTY0gPhgX9utgPY53Sika7fsf
-zMg3z2nlNyBfCf+fh3dawaNyRiUmtQmDkzYfkX3UDgd/u+TICbeg081Wl8d+
-nVDpWsMpedGK+3krFF3PMOAl6yrv7ME2XEg7WWnj3g2te/1FIxntqKB1bZ/O
-6R5IsxP8vXNPBzJNmzXq7Xug3ynwa/mBDnzuqLLrmGsPvHyle/3I4Q7cksTZ
-bhLaAzHW51L0DTtQ6celTfZlPSA5rlCmbN+BCWY7lh8W6YWlBVzO8YgOTBZU
-4tq594KZ8oXwyd4OfOYp05h2oA+itwzanrrXibMyD/O9D/eBj6pZZrZfJ5pU
-/hNvfLQPmv6RiJoN6kR+fn57HtM+4K9SNEmI7ESHmPE5W8c+yLp0+2pWaifu
-zKvZseFRH8w5fKqQo3Yipe9a4pPpPrgoV/JfAC8dZYLY927O94HzwbLNzkvp
-eEPpwsUTS/rhgA7PsVMCdNzsaqn2R7gftpw7smrVKjqGzuv876xCPyx8Sve8
-LEdHYynpxbVm/VBqPll7RZuOvYbVl5Pf9EN9VveuKi86JrpazJoV94O4Nq1i
-0x06nowdjRCp7AfphBUtQT50LKdLvgts7AcBBe9gCKJjgr0Tn2tPP2SGyWuF
-xdLxhLd42hHhAWjYb7LnZh4dyzIuM0YdBmDCS9T15Vc6Xq+fc852GYC+9Lov
-ab10VOJE89h7DECw8lmMHaBjvGq5Iv2/AaAkRHGcOHR0KxXxpCYMQJ3cLvwx
-RUfFTyViCbUDQBs6sMFqJYEPZwUNQW4QNAtik701CHR3spLy3DIIMwE5j9X3
-EWjSnd2ft20QHmjJXGVrEihSpXtrzf5BMG887HD0EIH3/Xye/zw1CHoM5LYd
-I9B3BZcnL2AQCpzDZORsCbS9dai5P2wQtOrXtCScJ1B7ODJRJnoQom+JnBC4
-SODc/1RUQ1IG4YXw4os+BwI9oy6dsX83CLKCYT22Nwh0lmS8k2YNQpebkHZs
-IIHHQxT9jMYG4W5My6O6YAKVZ24aBv8YBIIZRJkKJZDFEBv4sTgIYY9OuupF
-EGj/xFD0k/QQdFAVTxfHE2i5meIYdGwIHPkbXT9lEXhEPXsD99UQmNycD+iq
-JnBNOaWtqnAIKm7WKznVEsg90hUUXjoEhfEJyjN1BD4zFx7dXDcEeTqP9ZZ/
-IHDR273EonsIaAafOb9bCCxHOFUpyARvfcUdal0Exupb8d8XZcJUw+lPIV8I
-dPx8o/i0JBM8NWLburoJlBnIWj+xkQnf4pl8nj0Eei0TGpbfz4Sq4uuyfoME
-7jpB+IdeYcIr75jHw2MECnZOaphfI/cT8c1Y/p3AfpuVnI3uTGAukZTcOEFg
-jJu2UbkPE0yumGkZcAn8Hpe5djyeCfNzGhku0wTWr6tqKXvMBGqeq4jrLwKf
-ZtH9Qp4xofDc62GnGQJPFAuy5V4xoasgdsJ6lsCXXW5FprVMaHQ6dOyfBQL9
-L9y/ItfEBB95YeCSth7NWDP2iQkJEU+z2xYJFFjo9A3+woR1tWGdobwMvLJR
-60Qplwm7YWtlEz8DNzkIMGU3suDqVQfIEmSgPHS3XlFkwfdKhXGblaQlC8pf
-b2eBm3GDj7gQA+VqzWJ0NFkw02Js4C7MQFm5tIOXTVlwfEj6yaII6V83FAus
-WJCeH+yRJMrA9S3/is3YsoCx66DG9lUMXHd3hBXmzIK09aaex8QYuIbYE/cq
-iAUvoy+LmYmTLhDwmQ5nwb7wA0bNpGWCux0glgUGfjvvHZJgoPRuf+3PT1lw
-wyP09TpJ0ivNt67JYoHX0HRxIGmpfkXxCy9ZcH9PShGbtGT0R85UMQuSct7F
-ZEqRvpJG06pigeqBIx7zpCW03TG4lgWtEZrGxtIMFB+Vjpf+zIJ8q7yZEdKr
-a0b+O09nwb+iJxt2yTBQLLnKMfcrC6IXsuO8SK/Sv3jo4DALBCqGtv4gLbph
-r0rQBAukLyz8VF5DelpAsmWaBVHj+2ptSIt87OaR+kPGc6EwPpL0P5kFI7Z8
-bHj6Lcqp7K/v+HfmCLBhd9C4Xj9pYRNz6qQIG4RifigtW8tAoa1KeZqSbDDW
-rxXb8tc8cwkB69jwKyFkqc5f0z/6NcuzwVn48hJr0ivz05wltrJh+luYoAtp
-wSB3C5sdbNjSK7vB56/P6ulka7ChK8jk8P2/3iWzfeIAGw4PmN6IJS0gOCq1
-X4cNVTmmhQmkV/RVLfHXZ8NZ+cCliX9dEjPWdJINt/fIOMb9ddRFYrU5G/Qv
-6veHk15+eW/N2TNs8KzWd/UlvUxLMD/rPBsy/5iIXf9r8a9J41fYcMjiWfO5
-vx4pCNjrwobhDNdUPdJLq/1dfD3YIHlsLlyFNP8jc6sPt9nQcCggTuiv3ZR0
-xfzYsO8f/WIOGS/+o3OqZ0LYYFMfPlNNmk+2RSYzgg2hArGWSaSX/EzjH4tj
-gxZfGnH1r5vdv2sks+GFw/ytvaR5M/S6fNLY4OD1XYuXNM9tmbqG52zQmapW
-aCDvd1ERk60K2eDP3H/5KOmzPnnqQaVsyNXbI8JHuoz2qOk1sqHvdw1/OZk/
-Hn4es8ub2XDeK6ZrA+nP9POxu9rY8PiDaWUzmX+qqkbKtgQb3t/Nm7xJmtO1
-1fr9IBtadTXMKsn81VOT4vYNs0GPxQ08QzozhP++8CQbVPnshabJerDZ3VN6
-8Q8b7qDPZjnS7REPZVZLcsA6dfNT/dUM3Dno90Z7HQd6OzpzPpD1FqnpauAo
-zwGd4jfiR0nrswxuUVU5MOu6R2IvWZ+VhxYJ16McMNwn3TPyD1mPiaNuj09w
-QOFnurQxae8xxooGUw6IOcpXvSbrXz25aJ+sHQfMwMfkCtkfsn9cTWr25sCh
-MYeGFwLkfRyz2Dnjw4GrL41CJlcw0D5Nt3FTEAd8fhlUaZBed2LDzO0YDqg3
-ySUWLmNgzHOaxdZcDgQmq68L4mPgHSuQCv7CAce2jve+8wQSBdsK3vRx4OuG
-7Q+j5wjcs2zN0a8sDswb1C+mkP1x4u2U5+4pDqx+VBTykuyfl4RyO/uFhkFa
-3i8wdYpAIxRPAO1h+CZfHTQ4QuDz7R8leHWHIXdna8/nYQLnHwfFVxsMQ0pI
-qVEFh8Ac7+mH/5oPw8kZNc9QFoE86kTccedhcFH15F3oJ/B15uMYi+RhUM5c
-rm7LIFD0vnyE6/QwOKbvUuUj59XlmS4htflhaJZK+RBPzrOKy3EPuLwjEMkj
-n6VAJdDhCP+Dm8IjgMQyea0qAinzQ/fvbB6B8TiW1fESAt1cX4SGmIyAFK/R
-7NBLAlvNdgam5o9AVAZ9eH0MgSdXpR/4WjQCD9UElDSiCGz+uPrHmvIRSKJe
-sjUg522j3q/zCQ0jkNyiVOsQRu6/rwoiekeAf6wtOcCPwIJ1hnO3xUah1k1T
-SeU6gZGDV26c9hyFdFUnK6OT5PzxSLUT1h4D2aw7Dmd5CKzV717sPTIGVJET
-q8b/0FFzvUxqkcEY9Doqhd6bI98/9bFfz5iPgZPFclb8NB2XSAdb5zqPgbZ9
-b3LeKB1Lyp3Njj4egx9fqq66E+T7jk9T329mDNpUUwzc8+k4F0Pb8fPtOEwd
-jjfMNKNjVA1NXld0Ah4E3Dx5MaYTZfk4mQ87J4C387NFf04H1h+2k0uPmoQM
-oY+cnnoa3izqdu6OnYTc3v5VY9U03KxoVSqZMAkE1+P+bBUNA4RMTMJTJmHv
-bFmAZDEND9GPBHq8mITlPW2aptk0LHVWZOvVTIJ62e99QyE0zEscLxiZnoS6
-KYuiVAManhF0mleYnYRPNiFhtf/SUPAeS9/uzyTscOl7N3yYhg72vX00Pi7M
-jqgaHNCkocL2ttVVolzYnts5Nq5Mw6fV77yilbngrFIjWyBEwxMa6rVN27nA
-3pi4fHIFDeez80WXqnFBfLutu8ZS8ryI7Be39nLhvkiTbv2fdpS2fPTFXpcL
-dgOr9FZ+b8eGJgmlJ0e5kJ8dXnRxpB09tWI96Me4EFi9vJTKakeafLiw4Sku
-+NvKaYb0tmNA/HLrYDMuPK+Llpnobkf1FYHPKRZceKoD5ufI/0b/bZ4fs9Zc
-KHtWqvipox1jxu6Chg0X+BO7P/3b1o7/BzHMMUc=
- "]]},
- Annotation[#, "Charting`Private`Tag$231073#1"]& ], {}}, {}},
- AspectRatio->1,
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0, -0.39230902671276946`},
- DisplayFunction->Identity,
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- ImagePadding->All,
- ImageSize->{824.0000000000001, Automatic},
- Method->{
- "DefaultGraphicsInteraction" -> {
- "Version" -> 1.2, "TrackMousePosition" -> {True, False},
- "Effects" -> {
- "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
- "Droplines" -> {
- "freeformCursorMode" -> True,
- "placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
- None},
- PlotRange->{{-1.148, 1.148}, {-0.39230902671276946`, -0.12773605998196258`}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.05],
- Scaled[0.05]}, {
- Scaled[0.05],
- Scaled[0.05]}},
- Ticks->{Automatic, Automatic}]], "Output",
- CellChangeTimes->{{3.857793015899273*^9, 3.857793057562001*^9}, {
- 3.857793122505457*^9, 3.8577931326430273`*^9}, {3.8577931724890757`*^9,
- 3.857793175332094*^9}, 3.857793208825529*^9, 3.8577932792226143`*^9, {
- 3.857793319851376*^9, 3.857793339681711*^9}, 3.857793772386322*^9, {
- 3.857793933474897*^9, 3.857793988996399*^9}, {3.857794075951421*^9,
- 3.85779416407305*^9}, 3.8577942145122623`*^9, {3.8577943000319977`*^9,
- 3.8577943124112062`*^9}, {3.857794446343104*^9, 3.857794473362393*^9}, {
- 3.85779493269407*^9, 3.8577949352698917`*^9}, {3.857795589351369*^9,
- 3.8577956004250517`*^9}, {3.8577958521713037`*^9, 3.8577958573984947`*^9},
- 3.857796155316774*^9, {3.857796224030792*^9, 3.857796228469438*^9}, {
- 3.857797857716858*^9, 3.8577978597509823`*^9}, 3.857797890938366*^9, {
- 3.857797923512731*^9, 3.8577979300035686`*^9}, {3.857797975160771*^9,
- 3.8577980205886602`*^9}, {3.8578008901725283`*^9, 3.85780091538914*^9}, {
- 3.85780096624469*^9, 3.8578009715733852`*^9}, 3.858849775298038*^9, {
- 3.858850387194827*^9, 3.858850394650468*^9}, {3.8588506002888317`*^9,
- 3.858850620305167*^9}, 3.858852097408359*^9, {3.867387370900909*^9,
- 3.867387405618146*^9}, 3.867387471536796*^9, 3.867387534689898*^9, {
- 3.867392586082136*^9, 3.86739263513975*^9}, 3.8673927258991632`*^9},
- CellLabel->"Out[46]=",ExpressionUUID->"a6b30fc2-c088-4262-94f2-edcc475c95da"]
-}, Open ]],
-
-Cell[BoxData["dGd\[Xi]"], "Input",
- CellChangeTimes->{{3.8577519886675262`*^9,
- 3.857751998427774*^9}},ExpressionUUID->"536d20a8-587f-4cd2-8d38-\
-d67784bf6d33"],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{
- RowBox[{"(",
- RowBox[{"d\[CapitalPhi]d\[Eta]List", "@@", "prep2"}], ")"}], "[",
- RowBox[{"0", ",", "1"}], "]"}]], "Input",
- CellChangeTimes->{{3.857753075284627*^9, 3.857753077035035*^9}, {
- 3.857754153999092*^9, 3.857754160671013*^9}},
- CellLabel->"In[80]:=",ExpressionUUID->"91e758ec-72b9-4894-b62d-8872e6b4ee42"],
-
-Cell[BoxData[
- RowBox[{"{",
- RowBox[{
- RowBox[{"-", "1.1974100580837264`"}], "+",
- RowBox[{"0.`", " ", "\[ImaginaryI]"}]}], "}"}]], "Output",
- CellChangeTimes->{{3.8577530703996162`*^9, 3.8577530772733707`*^9},
- 3.857753109025908*^9, {3.857754156591359*^9, 3.857754177479876*^9}},
- CellLabel->"Out[80]=",ExpressionUUID->"7ebcdde0-d788-47fa-bc62-df9697e7a7a4"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"ListLogPlot", "[",
- RowBox[{"Abs", "[",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptFPlusMinusD\[Xi]\[Theta]0List", "@@", "prep2"}], ")"}],
- "[", "10", "]"}], "]"}], "]"}]], "Input",
- CellChangeTimes->{{3.857749647216098*^9, 3.8577496994157143`*^9}, {
- 3.857749922049673*^9, 3.85774992576917*^9}, {3.8577499613439693`*^9,
- 3.857749992122797*^9}, 3.85775012053415*^9, {3.857750706878583*^9,
- 3.857750707403603*^9}, {3.857751644877963*^9, 3.857751657226074*^9}, {
- 3.8577517214782124`*^9, 3.857751736522636*^9}, {3.857752278605008*^9,
- 3.857752279401206*^9}, {3.857752310485083*^9, 3.857752324517762*^9}, {
- 3.857752360898025*^9, 3.857752363157537*^9}, {3.857753041193503*^9,
- 3.85775304373606*^9}, {3.857753117795965*^9, 3.8577531179827213`*^9}, {
- 3.85775377848352*^9, 3.8577537891272383`*^9}, {3.8577539046194077`*^9,
- 3.857753911831979*^9}, {3.8577541823791513`*^9, 3.857754190311756*^9}, {
- 3.85775442603514*^9, 3.857754438089511*^9}, {3.857755022546867*^9,
- 3.857755042653729*^9}, {3.857790310738358*^9, 3.857790311353793*^9}, {
- 3.857792220388947*^9, 3.857792221589129*^9}},
- CellLabel->"In[8]:=",ExpressionUUID->"deab78a8-001c-48e2-8e09-f201bb4cea29"],
-
-Cell[BoxData[
- GraphicsBox[{{},
- {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`],
- AbsoluteThickness[1.6],
- PointBox[{{1., -10.414144509868697`}, {2., 0.30584990109431537`}, {
- 3., -3.0163337355619935`}, {4., -3.2136722675502933`}, {
- 5., -2.570683279761619}, {6., -1.4874940764014397`}, {
- 7., -0.13721953104179538`}, {8., 1.3945757691496903`}, {9.,
- 3.068812002512934}, {10., 4.869097495143923}, {11.,
- 6.7878681751398355`}}]}, {{}, {}}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0., -11.760299624406379`},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0],
- Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- Method->{
- "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
- "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& ), "CopiedValueFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& )}},
- PlotRange->{{0., 11}, {-11.760299624406379`, 6.7878681751398355`}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.02],
- Scaled[0.05]}},
- Ticks->FrontEndValueCache[{Automatic,
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0]}, {
- Automatic, {{-9.210340371976182,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
- TraditionalForm], {0.01, 0.}}, {-4.605170185988091,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.01\"", ShowStringCharacters -> False],
- 0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 0.}}, {0.,
- FormBox["1", TraditionalForm], {0.01, 0.}}, {4.605170185988092,
- FormBox["100", TraditionalForm], {0.01, 0.}}, {-14.326336181730264`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-14.172185501903007`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-14.038654109278484`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.9208710736221,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.815510557964274`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-11.512925464970229`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-6.907755278982137,
- 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.}}, {
- 6.907755278982137,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 9.210340371976184,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 9.615805480084347,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
- 9.903487552536127,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}}}]]], "Output",
- CellChangeTimes->{
- 3.85775236362393*^9, {3.857753041693356*^9, 3.857753064352551*^9}, {
- 3.857753109883153*^9, 3.8577531212700233`*^9}, {3.857753778726769*^9,
- 3.857753797688981*^9}, {3.85775390996132*^9, 3.8577539129626293`*^9}, {
- 3.857753956594308*^9, 3.857753978345298*^9}, {3.857754182953856*^9,
- 3.857754191065139*^9}, {3.857754422623551*^9, 3.857754438672948*^9}, {
- 3.8577550257279997`*^9, 3.857755045295697*^9}, 3.8577563069226103`*^9,
- 3.857790311770729*^9, 3.857790676280467*^9, 3.857791263968403*^9,
- 3.857792222287586*^9, 3.858849787156363*^9, 3.87050364829076*^9},
- CellLabel->"Out[8]=",ExpressionUUID->"9cd66a8a-65ca-4fb7-ba2c-0e30d1efdb75"]
-}, Open ]],
-
-Cell[CellGroupData[{
-
-Cell[BoxData[
- RowBox[{"ListLogPlot", "[",
- RowBox[{"Abs", "[",
- RowBox[{
- RowBox[{"(",
- RowBox[{"DScriptF0D\[Eta]List", "@@", "prep2"}], ")"}], "[",
- RowBox[{"10", ",", "0.5"}], "]"}], "]"}], "]"}]], "Input",
- CellChangeTimes->{{3.857749647216098*^9, 3.8577496994157143`*^9}, {
- 3.857749922049673*^9, 3.85774992576917*^9}, {3.8577499613439693`*^9,
- 3.857749992122797*^9}, 3.85775012053415*^9, {3.857750706878583*^9,
- 3.857750707403603*^9}, {3.857751644877963*^9, 3.857751657226074*^9}, {
- 3.8577517214782124`*^9, 3.857751736522636*^9}, {3.857752278605008*^9,
- 3.857752279401206*^9}, {3.857752310485083*^9, 3.857752324517762*^9}, {
- 3.857752360898025*^9, 3.857752363157537*^9}, {3.857753041193503*^9,
- 3.85775304373606*^9}, {3.857753117795965*^9, 3.8577531179827213`*^9}, {
- 3.85775377848352*^9, 3.8577537891272383`*^9}, {3.8577539046194077`*^9,
- 3.857753911831979*^9}, {3.8577541823791513`*^9, 3.857754190311756*^9}, {
- 3.85775442603514*^9, 3.857754438089511*^9}, {3.857755022546867*^9,
- 3.857755042653729*^9}, {3.857790310738358*^9, 3.857790311353793*^9}, {
- 3.857792220388947*^9, 3.857792221589129*^9}, {3.857793456034882*^9,
- 3.857793480107435*^9}, {3.857797401964308*^9, 3.857797402122551*^9}},
- CellLabel->"In[9]:=",ExpressionUUID->"ac67b8f1-5341-473f-9d1d-922e2695ed9e"],
-
-Cell[BoxData[
- GraphicsBox[{{},
- {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.012833333333333334`],
- AbsoluteThickness[1.6],
- PointBox[{{1., -1.736316572503768}, {2., -0.4270821971009429}, {
- 3., -2.343502320227515}, {4., -3.8090129231988294`}, {
- 5., -5.667829655816421}, {6., -6.0865441280803525`}, {
- 7., -9.873167216603917}, {8., -8.121846397316753}, {
- 9., -9.619185247096187}, {10., -10.221329061608428`}, {
- 11., -10.857043092951578`}}]}, {{}, {}}},
- AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
- Axes->{True, True},
- AxesLabel->{None, None},
- AxesOrigin->{0., -11.673246723391479`},
- DisplayFunction->Identity,
- Frame->{{False, False}, {False, False}},
- FrameLabel->{{None, None}, {None, None}},
- FrameTicks->{{
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0],
- Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
- GridLines->{None, None},
- GridLinesStyle->Directive[
- GrayLevel[0.5, 0.4]],
- Method->{
- "OptimizePlotMarkers" -> True, "OptimizePlotMarkers" -> True,
- "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& ), "CopiedValueFunction" -> ({
- Identity[
- Part[#, 1]],
- Exp[
- Part[#, 2]]}& )}},
- PlotRange->{{0., 11}, {-11.673246723391479`, -0.4270821971009429}},
- PlotRangeClipping->True,
- PlotRangePadding->{{
- Scaled[0.02],
- Scaled[0.02]}, {
- Scaled[0.02],
- Scaled[0.05]}},
- Ticks->FrontEndValueCache[{Automatic,
- Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision ->
- 15.954589770191003`, RotateLabel -> 0]}, {
- Automatic, {{-11.512925464970229`,
- FormBox[
- TemplateBox[{"10",
- RowBox[{"-", "5"}]}, "Superscript", SyntaxForm -> SuperscriptBox],
- TraditionalForm], {0.01, 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[
- StyleBox["\"0.010\"", ShowStringCharacters -> False],
- 0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01,
- 0.}}, {-2.3025850929940455`,
- FormBox[
- TagBox[
- InterpretationBox[
- StyleBox["\"0.100\"", ShowStringCharacters -> False],
- 0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
- DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0.,
- FormBox["1", TraditionalForm], {0.01, 0.}}, {-13.898892166903325`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.88808125079911,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.87738596168236,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.866803852351824`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.85633255248453,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.845969765448983`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.835713265281793`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.825560893817775`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.815510557964274`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-13.122363377404328`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-12.716898269296165`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-12.429216196844383`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-12.206072645530174`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-12.02375108873622,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-11.86960040890896,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-11.736069016284437`,
- FormBox[
- TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005,
- 0.}}, {-11.618285980628055`,
- 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->{
- 3.85775236362393*^9, {3.857753041693356*^9, 3.857753064352551*^9}, {
- 3.857753109883153*^9, 3.8577531212700233`*^9}, {3.857753778726769*^9,
- 3.857753797688981*^9}, {3.85775390996132*^9, 3.8577539129626293`*^9}, {
- 3.857753956594308*^9, 3.857753978345298*^9}, {3.857754182953856*^9,
- 3.857754191065139*^9}, {3.857754422623551*^9, 3.857754438672948*^9}, {
- 3.8577550257279997`*^9, 3.857755045295697*^9}, 3.8577563069226103`*^9,
- 3.857790311770729*^9, 3.857790676280467*^9, 3.857791263968403*^9,
- 3.857792222287586*^9, {3.85779345804388*^9, 3.857793482920364*^9},
- 3.857797404294942*^9, 3.857797851408039*^9, 3.8588497893548727`*^9,
- 3.870503651391385*^9},
- CellLabel->"Out[9]=",ExpressionUUID->"3fd3b5f8-4da9-404f-8b20-64b6c99239f0"]
+ "Out[200]=",ExpressionUUID->"354629b7-052f-4d2f-a20e-746898ed9556"]
+}, Open ]]
}, Open ]]
},
-WindowSize->{1426.5, 740.25},
+WindowSize->{630., 1010.25},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
-FrontEndVersion->"13.2 for Linux x86 (64-bit) (December 7, 2022)",
+FrontEndVersion->"13.2 for Linux x86 (64-bit) (January 31, 2023)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"3a2ec9ae-362f-42b0-9bfc-c766461c7128"
]
@@ -16925,162 +11893,88 @@ CellTagsIndex->{}
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 318, 6, 24, "Input",ExpressionUUID->"cb2d1f0e-8921-4d60-a098-a74598dfa8f6"],
+Cell[879, 28, 214, 4, 22, "Input",ExpressionUUID->"ebe5eb4e-2760-42b5-9d9b-c166d8a7c2b8"],
Cell[CellGroupData[{
-Cell[901, 30, 210, 3, 22, "Input",ExpressionUUID->"ebe5eb4e-2760-42b5-9d9b-c166d8a7c2b8"],
-Cell[1114, 35, 746, 14, 37, "Message",ExpressionUUID->"39e14237-1709-44ab-9f4f-4142bbd7896c"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[1897, 54, 411, 12, 24, "Input",ExpressionUUID->"5918f2c5-d04a-41be-9074-a9d239e03bad"],
-Cell[2311, 68, 313, 7, 25, "Output",ExpressionUUID->"63b8069b-8598-4446-9037-7d26eca13873"]
-}, Open ]],
-Cell[2639, 78, 2386, 64, 25, "Input",ExpressionUUID->"ffc53174-430d-4e0b-b71f-902d34f687b7"],
-Cell[5028, 144, 355, 7, 22, "Input",ExpressionUUID->"249e2bea-239f-4870-bccb-94af3730f0b6"],
-Cell[CellGroupData[{
-Cell[5408, 155, 1900, 44, 29, "Input",ExpressionUUID->"a6d0fc76-cf0a-4234-9fe3-d57ae603ad2e"],
-Cell[7311, 201, 38351, 718, 181, "Output",ExpressionUUID->"a9b5bf87-e870-4cb1-a334-4610824736a2"]
-}, Open ]],
-Cell[45677, 922, 287, 6, 22, "Input",ExpressionUUID->"52b4bca3-6c24-4ce4-a34e-5809b8f6180a"],
-Cell[45967, 930, 2463, 66, 25, "Input",ExpressionUUID->"22e15b10-be95-4312-870c-ebe3402ea67c"],
-Cell[48433, 998, 405, 7, 22, "Input",ExpressionUUID->"6e3ba380-2dbc-463d-8279-e42bb1e3c387"],
-Cell[CellGroupData[{
-Cell[48863, 1009, 1836, 43, 29, "Input",ExpressionUUID->"965d5a6e-a5d2-4e2f-8234-02ac11e44315"],
-Cell[50702, 1054, 51354, 931, 181, "Output",ExpressionUUID->"6660f0cb-7c8c-4df5-9146-056350f78fc0"]
-}, Open ]],
-Cell[102071, 1988, 3091, 86, 110, "Input",ExpressionUUID->"3f75c1e0-258b-4769-8308-40547e5bc66d"],
-Cell[CellGroupData[{
-Cell[105187, 2078, 217, 3, 23, "Input",ExpressionUUID->"9c4c95dd-0cce-40d9-9382-601216046955"],
-Cell[105407, 2083, 172, 2, 25, "Output",ExpressionUUID->"7dd902cb-f16f-49b4-8c3d-3fad52ca76f5"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[105616, 2090, 3451, 90, 110, "Input",ExpressionUUID->"c480077f-daf0-49d9-971a-8783f8e24ae3"],
-Cell[109070, 2182, 15241, 266, 284, "Output",ExpressionUUID->"73571a62-acb0-4c68-a41d-2dd04cfa4c6f"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[124348, 2453, 3400, 90, 145, "Input",ExpressionUUID->"3f8b6e53-ff20-489f-b395-47d925d34ae6"],
-Cell[127751, 2545, 6727, 126, 283, "Output",ExpressionUUID->"2e60aa58-03df-4f64-a5b4-aac6f5b3dcd4"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[134515, 2676, 3377, 90, 145, "Input",ExpressionUUID->"f1b88156-90fa-4eff-991c-fedc7873189b"],
-Cell[137895, 2768, 17043, 296, 282, "Output",ExpressionUUID->"88a1b60c-97d1-42d8-bbbc-a379f83bd40b"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[154975, 3069, 788, 24, 25, "Input",ExpressionUUID->"38c6377e-d6ac-4418-a565-18d85ba8fcba"],
-Cell[155766, 3095, 817, 23, 64, "Output",ExpressionUUID->"2b8225f9-ed14-4766-a01c-a86c0feb9b0e"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[156620, 3123, 5711, 140, 228, "Input",ExpressionUUID->"7af4aaca-fcbd-4164-a23f-452af7281199"],
-Cell[162334, 3265, 27757, 477, 251, "Output",ExpressionUUID->"20c955a9-cd81-4419-878e-3b98aa44aefc"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[190128, 3747, 4538, 112, 192, "Input",ExpressionUUID->"7bc98e14-1631-4fc3-aed1-367c66e81e01"],
-Cell[194669, 3861, 36212, 618, 273, "Output",ExpressionUUID->"4f815cd7-c383-4356-a54d-23d8389e3529"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[230918, 4484, 255, 6, 22, "Input",ExpressionUUID->"f36a97fc-860e-4e7e-86d3-36fc120dfab0"],
-Cell[231176, 4492, 212, 4, 25, "Output",ExpressionUUID->"d40435e8-6022-47c6-92e2-dc02d3d8722c"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[231425, 4501, 4922, 121, 174, "Input",ExpressionUUID->"b1086ee8-7679-4537-81e7-3871b266ebb6"],
-Cell[236350, 4624, 34641, 588, 326, "Output",ExpressionUUID->"cc721759-3e61-45b9-a2e5-7355171aadcc"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[271028, 5217, 359, 10, 25, "Input",ExpressionUUID->"d791a8a8-5290-490b-9a1b-d5bf9c6cd5a4"],
-Cell[271390, 5229, 385, 10, 42, "Output",ExpressionUUID->"2723ffda-71c1-41b3-9446-6fd7f97d95ab"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[271812, 5244, 5792, 144, 209, "Input",ExpressionUUID->"efe0717e-1a4b-4a72-a5da-a2e9186bd1ec"],
-Cell[277607, 5390, 40087, 679, 244, "Output",ExpressionUUID->"a7be33ba-7aa8-4b0b-9929-84068abe4ebd"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[317731, 6074, 383, 9, 39, "Input",ExpressionUUID->"fb19745f-d068-48af-9c29-c7123646b8ef"],
-Cell[318117, 6085, 196, 3, 25, "Output",ExpressionUUID->"e0694b56-77c1-47e5-9928-2750b564de6e"]
-}, Open ]],
-Cell[318328, 6091, 154, 3, 22, "Input",ExpressionUUID->"5ff59419-6b49-4b92-9161-5b0dab56051b"],
-Cell[CellGroupData[{
-Cell[318507, 6098, 4529, 108, 145, "Input",ExpressionUUID->"fa46f97d-9534-4d3f-8e90-a8598a4bd324"],
-Cell[323039, 6208, 22560, 386, 283, "Output",ExpressionUUID->"174f48a3-9933-4f7f-8806-091e93a9ce75"]
-}, Open ]],
+Cell[1118, 36, 166, 3, 50, "Section",ExpressionUUID->"c6615333-57fa-470a-9d07-45b7998853ef"],
Cell[CellGroupData[{
-Cell[345636, 6599, 2888, 67, 110, "Input",ExpressionUUID->"8d8879fb-c6bb-4b5b-a028-bc28257684bb"],
-Cell[348527, 6668, 14491, 256, 223, "Output",ExpressionUUID->"48123e43-e631-4a06-a47a-7719830a4918"]
+Cell[1309, 43, 3515, 72, 186, "Input",ExpressionUUID->"43cfc45b-1fff-4120-afd4-982fd6195a7d"],
+Cell[4827, 117, 28223, 602, 189, "Output",ExpressionUUID->"1e4ad944-e98e-4c7a-9635-ca69ead5609d"]
}, Open ]],
-Cell[363033, 6927, 145, 3, 22, "Input",ExpressionUUID->"c5dbaf72-a605-4c61-ba62-df24770f7000"],
Cell[CellGroupData[{
-Cell[363203, 6934, 592, 15, 22, "Input",ExpressionUUID->"e32ddefb-6d7d-41d8-9408-44dfb467bc51"],
-Cell[363798, 6951, 405, 9, 25, "Output",ExpressionUUID->"1b64efb6-925e-4824-9bef-21a9599fd16c"]
+Cell[33087, 724, 1663, 39, 144, "Input",ExpressionUUID->"8fa1ecb3-1ecc-4bba-8fa1-06377280f14b"],
+Cell[34753, 765, 22153, 481, 186, "Output",ExpressionUUID->"b3456563-de2e-4cab-8de9-9936c2f54801"]
}, Open ]],
-Cell[364218, 6963, 1441, 37, 75, "Input",ExpressionUUID->"2ccff759-af39-4419-abaf-3a2ff108b592"],
Cell[CellGroupData[{
-Cell[365684, 7004, 334, 8, 24, "Input",ExpressionUUID->"9d38bf0a-1b01-459e-b90b-f4f4f415ffc7"],
-Cell[366021, 7014, 263, 5, 39, "Output",ExpressionUUID->"38d4c10e-4140-44a4-b4d6-bba3ce09f096"]
+Cell[56943, 1251, 3554, 72, 186, "Input",ExpressionUUID->"98d70064-2bee-4c5b-a8fe-984577f41f88"],
+Cell[60500, 1325, 3354, 50, 220, "Message",ExpressionUUID->"9b0aa616-8fe6-46d6-a9be-6d62ea62ac99"],
+Cell[63857, 1377, 3356, 50, 220, "Message",ExpressionUUID->"3cf38fe5-056b-4e76-a342-8e2c2b0786c0"],
+Cell[67216, 1429, 2830, 44, 162, "Message",ExpressionUUID->"9f39e826-00f7-402f-871b-4606e9158cd2"],
+Cell[70049, 1475, 470, 10, 22, "Message",ExpressionUUID->"a67bf71d-de22-4a04-a00f-2a4e90ec18e4"],
+Cell[70522, 1487, 21789, 476, 191, "Output",ExpressionUUID->"03a49490-2ef8-446d-ba98-3e5c10e80cea"]
}, Open ]],
+Cell[92326, 1966, 2449, 65, 75, "Input",ExpressionUUID->"ffc53174-430d-4e0b-b71f-902d34f687b7"],
+Cell[94778, 2033, 483, 8, 22, "Input",ExpressionUUID->"249e2bea-239f-4870-bccb-94af3730f0b6"],
Cell[CellGroupData[{
-Cell[366321, 7024, 224, 4, 22, "Input",ExpressionUUID->"44224ffd-2c48-4581-a368-ab909e0701bb"],
-Cell[366548, 7030, 302, 8, 25, "Output",ExpressionUUID->"a7b79756-7237-4715-9177-7809c5991e45"]
+Cell[95286, 2045, 2046, 45, 98, "Input",ExpressionUUID->"a6d0fc76-cf0a-4234-9fe3-d57ae603ad2e"],
+Cell[97335, 2092, 38401, 718, 181, "Output",ExpressionUUID->"a1a5856a-a28d-405e-8e1b-5efdfee445c7"]
}, Open ]],
+Cell[135751, 2813, 2524, 67, 75, "Input",ExpressionUUID->"22e15b10-be95-4312-870c-ebe3402ea67c"],
+Cell[138278, 2882, 490, 8, 22, "Input",ExpressionUUID->"6e3ba380-2dbc-463d-8279-e42bb1e3c387"],
Cell[CellGroupData[{
-Cell[366887, 7043, 579, 11, 24, "Input",ExpressionUUID->"eb887467-cb9c-4af9-9454-a333612bd730"],
-Cell[367469, 7056, 15603, 348, 327, "Output",ExpressionUUID->"1e205518-5f28-4b0d-bf97-1ef60e744fe9"]
-}, Open ]],
-Cell[CellGroupData[{
-Cell[383109, 7409, 1047, 28, 75, "Input",ExpressionUUID->"c56e2f6b-9c72-4c2d-8eba-3038314a2f4c"],
-Cell[384159, 7439, 1536, 42, 178, "Output",ExpressionUUID->"b9d51004-0cce-4c5b-a304-1aa9a84c56db"]
-}, Open ]],
+Cell[138793, 2894, 1962, 44, 83, "Input",ExpressionUUID->"965d5a6e-a5d2-4e2f-8234-02ac11e44315"],
+Cell[140758, 2940, 51416, 932, 181, "Output",ExpressionUUID->"2782289e-0500-4f20-8ce9-6bd7b1629e9c"]
+}, Open ]]
+}, Closed]],
Cell[CellGroupData[{
-Cell[385732, 7486, 1595, 36, 75, "Input",ExpressionUUID->"8965277f-d2d2-40c8-b8ca-7816448c9503"],
-Cell[387330, 7524, 15702, 275, 183, "Output",ExpressionUUID->"15c08e09-69ae-49ce-bca4-734d90c2d092"]
-}, Open ]],
+Cell[192223, 3878, 237, 4, 40, "Section",ExpressionUUID->"af69f70f-b3b9-4794-8398-01134650a149"],
+Cell[192463, 3884, 1824, 51, 103, "Input",ExpressionUUID->"fbadbe6e-e274-4fc8-b8ff-31d7d09129f7"],
Cell[CellGroupData[{
-Cell[403069, 7804, 394, 9, 22, "Input",ExpressionUUID->"c241bd5e-e38f-4710-8e5b-f8e7f5db0d5e"],
-Cell[403466, 7815, 29012, 497, 179, "Output",ExpressionUUID->"9ff27ba2-33df-4d53-894e-2237adc5b8f1"]
+Cell[194312, 3939, 2213, 56, 126, "Input",ExpressionUUID->"3f75c1e0-258b-4769-8308-40547e5bc66d"],
+Cell[196528, 3997, 22021, 413, 288, "Output",ExpressionUUID->"0be94975-8aee-49b5-8880-e4fd79f9f11e"]
}, Open ]],
Cell[CellGroupData[{
-Cell[432515, 8317, 608, 17, 25, "Input",ExpressionUUID->"6c1d3718-7a8d-41a6-98ea-98fe3318bcfa"],
-Cell[433126, 8336, 235, 4, 25, "Output",ExpressionUUID->"8b0315bf-6d61-4278-a829-dedfe692066f"]
+Cell[218586, 4415, 2283, 58, 126, "Input",ExpressionUUID->"3f8b6e53-ff20-489f-b395-47d925d34ae6"],
+Cell[220872, 4475, 13909, 278, 288, "Output",ExpressionUUID->"8c8e78f0-682f-4cb9-bf83-9197b2c8a8c5"]
}, Open ]],
Cell[CellGroupData[{
-Cell[433398, 8345, 606, 16, 22, "Input",ExpressionUUID->"516a4819-1b7b-40d4-a8ad-e2086998c231"],
-Cell[434007, 8363, 7198, 136, 175, "Output",ExpressionUUID->"cb4c528f-0710-481a-bfb2-44297fb7fba9"]
+Cell[234818, 4758, 2409, 62, 142, "Input",ExpressionUUID->"f1b88156-90fa-4eff-991c-fedc7873189b"],
+Cell[237230, 4822, 24237, 450, 300, "Output",ExpressionUUID->"2310df91-f2f6-4cb0-8fa7-e0535e8bac25"]
}, Open ]],
Cell[CellGroupData[{
-Cell[441242, 8504, 526, 13, 22, "Input",ExpressionUUID->"aed31f23-624a-4974-a440-50445111532a"],
-Cell[441771, 8519, 14567, 257, 179, "Output",ExpressionUUID->"2d0442be-aad9-4e64-bcb2-9c95e259b44d"]
+Cell[261504, 5277, 5637, 139, 210, "Input",ExpressionUUID->"7af4aaca-fcbd-4164-a23f-452af7281199"],
+Cell[267144, 5418, 35987, 657, 266, "Output",ExpressionUUID->"c5da7894-3e02-4b45-9ef2-8e0b3fea9304"]
}, Open ]],
Cell[CellGroupData[{
-Cell[456375, 8781, 1501, 38, 55, "Input",ExpressionUUID->"47f1d4ba-afc2-44f3-aeb8-a071f0e8c4f9"],
-Cell[457879, 8821, 574, 12, 32, "Message",ExpressionUUID->"a415b118-1097-4155-84e3-609dd9a85a38"],
-Cell[458456, 8835, 614, 13, 22, "Message",ExpressionUUID->"8871feea-390b-4d51-8323-ededa45e1a08"],
-Cell[459073, 8850, 574, 12, 32, "Message",ExpressionUUID->"d90fd7e9-775c-4fd4-8a1d-aa407ff8abe4"],
-Cell[459650, 8864, 576, 12, 32, "Message",ExpressionUUID->"e5d7a12d-1671-4c8c-989b-ec0f9f4c67a0"],
-Cell[460229, 8878, 652, 13, 22, "Message",ExpressionUUID->"bdad9088-50c1-4d40-ad09-4fbb47c24899"],
-Cell[460884, 8893, 614, 13, 22, "Message",ExpressionUUID->"4c080a0f-6df2-46f1-bc2d-7a054fb75363"],
-Cell[461501, 8908, 616, 13, 22, "Message",ExpressionUUID->"cbf1491d-6d6b-408a-9961-e6e37a65a0a6"],
-Cell[462120, 8923, 656, 13, 22, "Message",ExpressionUUID->"c77564c1-0ba4-4c7f-959b-735db191f7a0"]
+Cell[303168, 6080, 5171, 127, 209, "Input",ExpressionUUID->"7bc98e14-1631-4fc3-aed1-367c66e81e01"],
+Cell[308342, 6209, 43632, 785, 259, "Output",ExpressionUUID->"9dbcc449-beef-4593-9962-5e349a2d55a3"]
}, Open ]],
Cell[CellGroupData[{
-Cell[462813, 8941, 356, 5, 22, "Input",ExpressionUUID->"c6e27107-d1c1-4def-bce7-5bfc77efa117"],
-Cell[463172, 8948, 431003, 7099, 264, 351059, 5788, "CachedBoxData", "BoxData", "Output",ExpressionUUID->"65425ede-668b-4584-b959-e541ddaed240"]
+Cell[352011, 6999, 5021, 117, 173, "Input",ExpressionUUID->"b1086ee8-7679-4537-81e7-3871b266ebb6"],
+Cell[357035, 7118, 4468, 67, 140, "Message",ExpressionUUID->"47c3b277-8c10-4a4a-afd4-bd90c43d9128"],
+Cell[361506, 7187, 4166, 61, 116, "Message",ExpressionUUID->"88979e53-fa84-4309-bb1e-7f9206ce0235"],
+Cell[365675, 7250, 55750, 981, 259, "Output",ExpressionUUID->"655a40ca-05ff-4292-b196-684739c53e3f"]
}, Open ]],
Cell[CellGroupData[{
-Cell[894212, 16052, 474, 12, 22, "Input",ExpressionUUID->"d91d527e-9cac-4ce1-9ae6-5ff3208121a2"],
-Cell[894689, 16066, 4330, 89, 171, "Output",ExpressionUUID->"559d6958-bbd1-42f4-b122-f3904597675f"]
+Cell[421462, 8236, 5177, 129, 209, "Input",ExpressionUUID->"efe0717e-1a4b-4a72-a5da-a2e9186bd1ec"],
+Cell[426642, 8367, 4497, 66, 136, "Message",ExpressionUUID->"62fc2290-ec12-4106-8db3-83accba90389"],
+Cell[431142, 8435, 4104, 60, 115, "Message",ExpressionUUID->"776a18de-180c-4668-970e-1610ceae4ab5"],
+Cell[435249, 8497, 52763, 934, 259, "Output",ExpressionUUID->"a8fc096e-6fad-42c0-aa7a-790bd2df6a0a"]
+}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell[899056, 16160, 1771, 32, 24, "Input",ExpressionUUID->"5a79a2e7-c8b4-40fb-9154-88fdcc27bd73"],
-Cell[900830, 16194, 14400, 247, 630, "Output",ExpressionUUID->"a6b30fc2-c088-4262-94f2-edcc475c95da"]
-}, Open ]],
-Cell[915245, 16444, 162, 3, 22, "Input",ExpressionUUID->"536d20a8-587f-4cd2-8d38-d67784bf6d33"],
+Cell[488061, 9437, 212, 3, 50, "Section",ExpressionUUID->"7bcdac80-37e1-4f66-bc64-b0d2db5bf4c3"],
Cell[CellGroupData[{
-Cell[915432, 16451, 347, 7, 24, "Input",ExpressionUUID->"91e758ec-72b9-4894-b62d-8872e6b4ee42"],
-Cell[915782, 16460, 369, 7, 28, "Output",ExpressionUUID->"7ebcdde0-d788-47fa-bc62-df9697e7a7a4"]
+Cell[488298, 9444, 5348, 133, 213, "Input",ExpressionUUID->"502b8651-e019-4a6c-8e02-02b77d829c3e"],
+Cell[493649, 9579, 34792, 647, 205, "Output",ExpressionUUID->"e3227dcc-9afd-4977-b15f-eede85b88fcd"]
}, Open ]],
Cell[CellGroupData[{
-Cell[916188, 16472, 1225, 20, 24, "Input",ExpressionUUID->"deab78a8-001c-48e2-8e09-f201bb4cea29"],
-Cell[917416, 16494, 4606, 106, 179, "Output",ExpressionUUID->"9cd66a8a-65ca-4fb7-ba2c-0e30d1efdb75"]
+Cell[528478, 10231, 5402, 134, 213, "Input",ExpressionUUID->"a33a6443-e55c-45ac-8ec6-84306b68cf53"],
+Cell[533883, 10367, 37912, 699, 206, "Output",ExpressionUUID->"58bb8392-075e-4542-92cf-f8f93253afe9"]
}, Open ]],
Cell[CellGroupData[{
-Cell[922059, 16605, 1327, 21, 24, "Input",ExpressionUUID->"ac67b8f1-5341-473f-9d1d-922e2695ed9e"],
-Cell[923389, 16628, 11492, 278, 179, "Output",ExpressionUUID->"3fd3b5f8-4da9-404f-8b20-64b6c99239f0"]
+Cell[571832, 11071, 5508, 135, 213, "Input",ExpressionUUID->"f223d556-482e-413f-bd97-027e350d7fc8"],
+Cell[577343, 11208, 35524, 665, 206, "Output",ExpressionUUID->"354629b7-052f-4d2f-a20e-746898ed9556"]
+}, Open ]]
}, Open ]]
}
]