From 58c88c71efa552a2f6ec29417b3bb78bf48be16c Mon Sep 17 00:00:00 2001
From: Xisco Jimenez Forteza <xisco@Xiscos-MacBook-Pro.local>
Date: Wed, 10 Jun 2020 10:58:16 +0200
Subject: [PATCH] added code and organise folders

---
 code/RDGW150914.nb           | 40353 ++++++++++++++++++++++++++++++
 code/RDQlmn.nb               | 43832 +++++++++++++++++++++++++++++++++
 code/RDown.m                 |   909 +
 code/RDown.nb                |  5763 +++++
 code/mcmc.m                  |   475 +
 code/mcmc_demonst.nb         |  8103 ++++++
 plots/Resolvability_freq.pdf |   Bin 0 -> 75967 bytes
 plots/Resolvability_tau.pdf  |   Bin 0 -> 70049 bytes
 8 files changed, 99435 insertions(+)
 create mode 100644 code/RDGW150914.nb
 create mode 100644 code/RDQlmn.nb
 create mode 100644 code/RDown.m
 create mode 100644 code/RDown.nb
 create mode 100755 code/mcmc.m
 create mode 100755 code/mcmc_demonst.nb
 create mode 100644 plots/Resolvability_freq.pdf
 create mode 100644 plots/Resolvability_tau.pdf

diff --git a/code/RDGW150914.nb b/code/RDGW150914.nb
new file mode 100644
index 0000000..b27892a
--- /dev/null
+++ b/code/RDGW150914.nb
@@ -0,0 +1,40353 @@
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+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.560181, 0.691569, 0.194885],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.922526, 0.385626, 0.209179], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.6150173333333333, 0.25708400000000003`, 0.13945266666666667`],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.922526, 0.385626, 0.209179]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.922526, 0.385626, 0.209179],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.528488, 0.470624, 0.701351], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.3523253333333333, 0.3137493333333333, 0.46756733333333333`],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.528488`", ",", "0.470624`", ",", "0.701351`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.528488, 0.470624, 0.701351]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.528488, 0.470624, 0.701351],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.772079, 0.431554, 0.102387], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.5147193333333333, 0.28770266666666666`, 0.06825800000000001],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.772079, 0.431554, 0.102387]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.772079, 0.431554, 0.102387],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.363898, 0.618501, 0.782349], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[0.24259866666666668`, 0.412334, 0.521566],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.363898`", ",", "0.618501`", ",", "0.782349`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.363898, 0.618501, 0.782349]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.363898, 0.618501, 0.782349],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[1, 0.75, 0], RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[0.6666666666666666, 0.5, 0.],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"1", ",", "0.75`", ",", "0"}], "]"}], NumberMarks -> False]],
+     
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = RGBColor[1, 0.75, 0]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[1, 0.75, 0],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.647624, 0.37816, 0.614037], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.4317493333333333, 0.2521066666666667, 0.40935800000000006`],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.647624`", ",", "0.37816`", ",", "0.614037`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.647624, 0.37816, 0.614037]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.647624, 0.37816, 0.614037],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.571589, 0.586483, 0.], RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[0.38105933333333336`, 0.39098866666666665`, 0.],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.571589`", ",", "0.586483`", ",", "0.`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.571589, 0.586483, 0.]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.571589, 0.586483, 0.],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.915, 0.3325, 0.2125], RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.6100000000000001, 0.22166666666666668`, 0.14166666666666666`],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{"0.915`", ",", "0.3325`", ",", "0.2125`"}], "]"}], 
+       NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.915, 0.3325, 0.2125]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.915, 0.3325, 0.2125],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.2672148173956843, 0.34800444289592275`, 0.5666666666666667],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{
+          "0.40082222609352647`", ",", "0.5220066643438841`", ",", "0.85`"}], 
+         "]"}], NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+          RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.6485525936249404, 0.4144296347913687, 0.048907997212660946`],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{
+          "0.9728288904374106`", ",", "0.621644452187053`", ",", 
+           "0.07336199581899142`"}], "]"}], NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.4911884484706007, 0.23866666666666667`, 0.3353511049170246],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{
+          "0.736782672705901`", ",", "0.358`", ",", "0.5030266573755369`"}], 
+         "]"}], NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.736782672705901, 0.358, 0.5030266573755369]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.736782672705901, 0.358, 0.5030266573755369],
+    Editable->False,
+    Selectable->False], ",", 
+   InterpretationBox[
+    ButtonBox[
+     TooltipBox[
+      GraphicsBox[{
+        {GrayLevel[0], RectangleBox[{0, 0}]}, 
+        {GrayLevel[0], RectangleBox[{1, -1}]}, 
+        {RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
+         RectangleBox[{0, -1}, {2, 1}]}},
+       AspectRatio->1,
+       DefaultBaseStyle->"ColorSwatchGraphics",
+       Frame->True,
+       FrameStyle->RGBColor[
+        0.18684294025131137`, 0.4766666666666667, 0.2861392881649977],
+       FrameTicks->None,
+       ImageSize->
+        Dynamic[{
+         Automatic, 1.35 CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+          Magnification]}],
+       PlotRangePadding->None],
+      StyleBox[
+       RowBox[{"RGBColor", "[", 
+         RowBox[{
+          "0.28026441037696703`", ",", "0.715`", ",", "0.4292089322474965`"}],
+          "]"}], NumberMarks -> False]],
+     Appearance->None,
+     BaseStyle->{},
+     BaselinePosition->Baseline,
+     ButtonFunction:>With[{Typeset`box$ = EvaluationBox[]}, 
+       If[
+        Not[
+         AbsoluteCurrentValue["Deployed"]], 
+        SelectionMove[Typeset`box$, All, Expression]; 
+        FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+        FrontEnd`Private`$ColorSelectorInitialColor = 
+         RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965]; 
+        FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+        MathLink`CallFrontEnd[
+          FrontEnd`AttachCell[Typeset`box$, 
+           FrontEndResource["RGBColorValueSelector"], {0, {Left, Bottom}}, {
+           Left, Top}, 
+           "ClosingActions" -> {
+            "SelectionDeparture", "ParentChanged", "EvaluatorQuit"}]]]],
+     DefaultBaseStyle->{},
+     Evaluator->Automatic,
+     Method->"Preemptive"],
+    RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965],
+    Editable->False,
+    Selectable->False]}], "}"}]], "Output",
+ CellChangeTimes->{{3.785048598454445*^9, 3.7850486121743803`*^9}, 
+   3.7850492534864817`*^9, 3.7850518797807217`*^9, 3.7851593453111877`*^9, 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
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+                 RowBox[{
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
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+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6}], "}"}], 
+           ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
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+                    StyleBox[
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+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["GrayLevelColorValueSelector"], {
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+   AxesLabel->{None, None},
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+   Frame->False,
+   FrameLabel->{{
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+Ga8Vt2nF9OIiuR5hHdyJq1Q1/gd8evlJ
+            "]]},
+          Annotation[#, "Charting`Private`Tag$19036#4"]& ]}, {}}, {}},
+      AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+      Axes->{True, True},
+      AxesLabel->{None, None},
+      AxesOrigin->{0, 0},
+      DisplayFunction->Identity,
+      Frame->{{True, True}, {True, True}},
+      FrameLabel->{{
+         FormBox[
+         "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(lm\\)]\\)|\"", 
+          TraditionalForm], None}, {
+         FormBox["\"\[Theta]\"", TraditionalForm], None}},
+      FrameStyle->Directive[
+        GrayLevel[0], Bold, 20],
+      FrameTicks->{{Automatic, {}}, {{{0, 
+           FormBox["0", TraditionalForm]}, {0.25, 
+           FormBox[
+            FractionBox["\[Pi]", "4"], TraditionalForm]}, {0.5, 
+           FormBox[
+            FractionBox["\[Pi]", "2"], TraditionalForm]}, {0.75, 
+           FormBox[
+            FractionBox[
+             RowBox[{"3", " ", "\[Pi]"}], "4"], TraditionalForm]}, {1, 
+           FormBox["\[Pi]", TraditionalForm]}, {4, 
+           FormBox["205", TraditionalForm]}}, {None}}},
+      GridLines->{Automatic, Automatic},
+      GridLinesStyle->Directive[
+        GrayLevel[0.5, 0.4]],
+      ImagePadding->All,
+      ImageSize->Large,
+      LabelStyle->Directive[
+        GrayLevel[0], 14],
+      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]]}& )}},
+      PlotLabel->None,
+      PlotRange->{{0, 1}, {0., 0.7299197810788576}},
+      PlotRangeClipping->True,
+      PlotRangePadding->{{
+         Scaled[0.02], 
+         Scaled[0.02]}, {
+         Scaled[0.05], 
+         Scaled[0.05]}},
+      Ticks->{Automatic, Automatic}], Scaled[{0.5, 0.5}], Center, 
+     Scaled[{1, 1}]], InsetBox[
+     TemplateBox[{
+      "\"|\\!\\(\\*SubscriptBox[\\(S\\), \\(22\\)]\\)|\"",
+       "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(22\\)]\\)|\"",
+       "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(21\\)]\\)|\"",
+       "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(2 - 2\\)]\\)|\"",
+       "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(3 - 3\\)]\\)|\"",
+       "\"|\\!\\(\\*SubscriptBox[\\(Y\\), \\(2 - 1\\)]\\)|\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    Dashing[{Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    PointSize[0.5], 
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, 
+                    ImageSize -> {40, 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], {
+          Directive[
+           GrayLevel[0], 14], FontFamily -> "Arial"}, Background -> Automatic,
+          StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   RowBox[{"PointSize", "[", "0.015`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
+                    Magnification])}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
+             "}"}], ",", 
+           RowBox[{"{", 
+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6}], "}"}], 
+           ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
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+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
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+   AxesLabel->{None, None},
+   AxesOrigin->{0, 0},
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+   Frame->False,
+   FrameLabel->{{
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+   ImageSize->Large,
+   LabelStyle->Directive[
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+     "DefaultGraphicsInteraction" -> {
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+       "]]}}, 
+    {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
+      NCache[
+       Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, {
+     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
+       NCache[
+        Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[
+      1.6]}, {}}, {
+     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[
+       NCache[
+        Rational[1, 360], 0.002777777777777778]], AbsoluteThickness[1.6]}, {}}
+     }, {{}, {}}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, 0},
+  DisplayFunction->Identity,
+  Frame->{{True, True}, {True, True}},
+  FrameLabel->{{
+     FormBox["\"Re[h]\"", TraditionalForm], None}, {
+     FormBox["\"t [s]\"", TraditionalForm], 
+     FormBox[
+     "\"d= 100Mpc, M=70 \\!\\(\\*SubscriptBox[\\(M\\), \
+\\(\[CircleDot]\\)]\\), \[Iota]=0\"", TraditionalForm]}},
+  FrameStyle->Directive[
+    GrayLevel[0], 
+    Dashing[{0, Small}], 16],
+  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImageSize->Large,
+  Method->{
+   "OptimizePlotMarkers" -> True, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{-0.00037183161416417615`, 
+   0.013251172969263047`}, {-3.5994343648985905`*^-22, 
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+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                   GraphicsBox[{{
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+                    RGBColor[0.62, 0., 0.13], 
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+                    Dashing[{0.225, 0.1125, 0.1125, 0.009000000000000001, 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
+                    Baseline)], #7}, {
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+                    PointSize[0.5], 
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+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[1., 0.53, 0.25], 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
+                    Baseline)], #8}}, 
+                 GridBoxAlignment -> {
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+                 AutoDelete -> False, 
+                 GridBoxDividers -> {
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+                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+                  GridBoxSpacings -> {
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+             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
+             AutoDelete -> False, 
+             GridBoxItemSize -> {
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+             GridBoxSpacings -> {"Columns" -> {{0.2}}, "Rows" -> {{0}}}], 
+            "Grid"], Alignment -> Left, AppearanceElements -> None, 
+           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
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+         FontSize -> 12, FontFamily -> "Arial"}, Background -> Automatic, 
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+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
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+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.62, 0.53]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0., 0.38], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"1.`", ",", "0.`", ",", "0.38`"}], "]"}], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0., 0.38]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[1., 0., 0.38], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
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+                    RowBox[{
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+               RowBox[{"Directive", "[", 
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0., 0.73, 1.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.`", ",", "0.73`", ",", "1.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.73, 1.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0., 0.73, 1.], Editable -> False, Selectable -> 
+                    False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small", ",", "Small", ",", "Small"}], 
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+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0.71, 0.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.6666666666666667, 0.47333333333333333`, 0.], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"1.`", ",", "0.71`", ",", "0.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0.71, 0.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[1., 0.71, 0.], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+                    ",", "0.0125`"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.46, 0., 0.62], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.46`", ",", "0.`", ",", "0.62`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.46, 0., 0.62]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.46, 0., 0.62], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.68, 0.69, 0.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.45333333333333337`, 0.45999999999999996`, 0.], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.68`", ",", "0.69`", ",", "0.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.68, 0.69, 0.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.68, 0.69, 0.], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
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+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.62, 0., 0.13], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.41333333333333333`, 0., 0.08666666666666667], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.62`", ",", "0.`", ",", "0.13`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.62, 0., 0.13]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.62, 0., 0.13], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
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+                    ",", "0.0125`"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0.53, 0.25], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    0.16666666666666669`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"1.`", ",", "0.53`", ",", "0.25`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0.53, 0.25]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
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+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
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+                   GraphicsBox[{{
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+                    RGBColor[0.62, 0., 0.13], 
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+                    Dashing[{0.225, 0.1125, 0.1125, 0.009000000000000001, 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
+                    Baseline)], #7}, {
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+                    PointSize[0.5], 
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+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[1., 0.53, 0.25], 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.038000000000000006`] -> 
+                    Baseline)], #8}}, 
+                 GridBoxAlignment -> {
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+                 AutoDelete -> False, 
+                 GridBoxDividers -> {
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+                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+                  GridBoxSpacings -> {
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+             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
+             AutoDelete -> False, 
+             GridBoxItemSize -> {
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+             GridBoxSpacings -> {"Columns" -> {{0.2}}, "Rows" -> {{0}}}], 
+            "Grid"], Alignment -> Left, AppearanceElements -> None, 
+           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
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+         FontSize -> 12, FontFamily -> "Arial"}, Background -> Automatic, 
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+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
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+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.62, 0.53]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0., 0.38], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"1.`", ",", "0.`", ",", "0.38`"}], "]"}], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0., 0.38]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[1., 0., 0.38], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
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+                    RowBox[{
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+               RowBox[{"Directive", "[", 
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0., 0.73, 1.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.`", ",", "0.73`", ",", "1.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.73, 1.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0., 0.73, 1.], Editable -> False, Selectable -> 
+                    False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small", ",", "Small", ",", "Small"}], 
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+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0.71, 0.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.6666666666666667, 0.47333333333333333`, 0.], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"1.`", ",", "0.71`", ",", "0.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0.71, 0.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[1., 0.71, 0.], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+                    ",", "0.0125`"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.46, 0., 0.62], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.46`", ",", "0.`", ",", "0.62`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.46, 0., 0.62]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.46, 0., 0.62], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.68, 0.69, 0.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.45333333333333337`, 0.45999999999999996`, 0.], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.68`", ",", "0.69`", ",", "0.`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.68, 0.69, 0.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.68, 0.69, 0.], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
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+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
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+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.62, 0., 0.13], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.41333333333333333`, 0., 0.08666666666666667], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.62`", ",", "0.`", ",", "0.13`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.62, 0., 0.13]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.62, 0., 0.13], Editable -> False, Selectable -> 
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+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
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+                    ",", "0.0125`"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0.53, 0.25], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    0.16666666666666669`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"1.`", ",", "0.53`", ",", "0.25`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0.53, 0.25]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
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+         "]]},
+       Annotation[#, "Charting`Private`Tag$1345426#2"]& ]}, {}}, InsetBox[
+     TemplateBox[{"\"\[Alpha],\[Beta] fit\"","\"Amp. fit\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           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}}, 
+                 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]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}]}], "]"}]}],
+              "}"}], ",", 
+           RowBox[{"{", 
+             RowBox[{#, ",", #2}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"{", "}"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& )], 
+     Scaled[{0.8, 0.8}], ImageScaled[{0.5, 0.5}],
+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->{True, True},
+   AxesLabel->{None, None},
+   AxesOrigin->{Automatic, 0},
+   DisplayFunction->Identity,
+   Epilog->{
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.62, 0.53]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0., 0.73, 1.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[1., 0.71, 0.], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[0.6666666666666667, 0.47333333333333333`, 0.], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 
+                    1.35 (CurrentValue["FontCapHeight"]/AbsoluteCurrentValue[
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+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[1., 0.71, 0.]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                   InterpretationBox[
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    If[
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                   InterpretationBox[
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+           RowBox[{"LegendMarkers", "\[Rule]", 
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+                 RowBox[{"{", 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
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+   Frame->{{True, True}, {True, True}},
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+       "\"\\!\\(\\*SubscriptBox[\\(A\\), \\(220\\)]\\)\"",
+       "\"\\!\\(\\*SubscriptBox[\\(A\\), \\(321\\)]\\)\""},
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+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
+                    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.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
+                    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.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {20, 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], {
+          Directive[
+           GrayLevel[0], Bold, 16], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
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+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
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+           RowBox[{"{", 
+             RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "16"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", "\"Column\""}]}], "]"}]& )], 
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+         FormBox[
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+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
+             "}"}], ",", 
+           RowBox[{"{", 
+             
+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6, ",", #7, 
+               ",", #8, ",", #9, ",", #10}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "18"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", 
+             RowBox[{"{", 
+               RowBox[{"\"Column\"", ",", "4"}], "}"}]}]}], "]"}]& )], 
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+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->False,
+   AxesLabel->{None, None},
+   AxesOrigin->{Automatic, Automatic},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
+      FormBox[
+      "\"\\!\\(\\*SubscriptBox[\\(A\\), \\(R\\)]\\)\"", TraditionalForm], 
+      None}, {
+      FormBox["\"q\"", TraditionalForm], None}},
+   FrameStyle->Directive[
+     GrayLevel[0], Bold, 20],
+   FrameTicks->{{Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
+     GrayLevel[0], Bold, 18],
+   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]]}& )}, "AxesInFront" -> True},
+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{
+      Scaled[0.02], 
+      Scaled[0.02]}, {
+      Scaled[0.05], 
+      Scaled[0.05]}},
+   Ticks->{Automatic, Automatic}],
+  InterpretTemplate[Legended[
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+         "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 221\\), \\((10  \
+M)\\)]\\)\"", TraditionalForm], None}, {
+         FormBox["\"q\"", TraditionalForm], None}},
+      FrameStyle->Directive[
+        GrayLevel[0], Bold, 20],
+      FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
+      GridLines->
+       FrontEndValueCache[{
+        Charting`ScaledTickValues[{Identity, Identity}][#, #2, {6, 6}]& , 
+         Charting`ScaledTickValues[{Identity, Identity}][#, #2, {6, 
+          6}]& }, {{{2., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {4., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {6., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {8., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {10., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {1., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {1.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {2.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {3., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {3.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {4.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {5., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {5.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {6.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {7., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {7.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {8.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {9., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {9.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}}, {{0., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.2, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.4, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.6, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {-0.2, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {-0.15, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {-0.1, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {-0.05, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.05, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.1, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.15, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.25, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.3, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.35, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.45, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.5, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.55, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.65, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.7, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.75, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {0.8, 
+           Directive[
+            AbsoluteThickness[0.1]]}}}],
+      GridLinesStyle->Directive[
+        GrayLevel[0.5, 0.4]],
+      ImageSize->Large,
+      LabelStyle->Directive[
+        GrayLevel[0], Bold, 18],
+      Method->{
+       "OptimizePlotMarkers" -> True, 
+        "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+            (Identity[#]& )[
+             Part[#, 1]], 
+            (Identity[#]& )[
+             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+            (Identity[#]& )[
+             Part[#, 1]], 
+            (Identity[#]& )[
+             Part[#, 2]]}& )}},
+      PlotLabel->None,
+      PlotRange->{{0.9, 10}, {0, 0.6795279091754315}},
+      PlotRangeClipping->True,
+      PlotRangePadding->{{0, 0}, {
+         Scaled[0.02], 
+         Scaled[0.05]}},
+      Ticks->{Automatic, Automatic}], Scaled[{0.5, 0.5}], Center, 
+     Scaled[{1, 1}]], InsetBox[
+     TemplateBox[{
+      "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 221\\), \\((0  \
+M)\\)]\\)\"","None","None",
+       "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 221\\), \\((5  \
+M)\\)]\\)\"","None","None",
+       "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 221\\), \\((10  M)\\)]\\)\
+\"","None","None",
+       "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 221\\), \\((15  M)\\)]\\)\
+\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {20, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
+                    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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {20, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #7}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.922526, 0.385626, 0.209179]], {
+                    LineBox[{{0, 10}, {20, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.922526, 0.385626, 0.209179]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {20, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #10}}, 
+                 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], {
+          Directive[
+           GrayLevel[0], Bold, 18], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", 
+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
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+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
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+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
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+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
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+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                    FractionBox["1", "90"], "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    PlotRangePadding -> None, ImageSize -> 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                   InterpretationBox[
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+                    GraphicsBox[{{
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+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
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+                    PlotRangePadding -> None, ImageSize -> 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
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+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6, ",", #7, 
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+                    SelectionMove[Typeset`box$, All, Expression]; 
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+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
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+         "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]]}& )}, "AxesInFront" -> True},
+      PlotLabel->None,
+      PlotRange->{All, All},
+      PlotRangeClipping->True,
+      PlotRangePadding->{{
+         Scaled[0.02], 
+         Scaled[0.02]}, {
+         Scaled[0.05], 
+         Scaled[0.05]}},
+      Ticks->{Automatic, Automatic}], Scaled[{0.5, 0.5}], Center, 
+     Scaled[{1, 1}]], InsetBox[
+     TemplateBox[{
+      "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 210\\), \\((10  \
+M)\\)]\\)\"","None","None",
+       "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 210\\), \\((15  M)\\)]\\)\
+\"","\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 330\\), \\((10  M)\\)]\\)\"",
+       "None","None",
+       "\"\\!\\(\\*SubsuperscriptBox[\\(A\\), \\(R, 330\\), \\((15  M)\\)]\\)\
+\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    Dashing[{Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, 
+                    ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 10}, 
+                    PlotRangePadding -> None, ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #5}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    Dashing[{Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    Opacity[1.], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, 
+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #8}}, 
+                 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], {
+          Directive[
+           GrayLevel[0], Bold, 18], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
+             "}"}], ",", 
+           RowBox[{"{", 
+             
+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6, ",", #7, 
+               ",", #8}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "18"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", 
+             RowBox[{"{", 
+               RowBox[{"\"Column\"", ",", "4"}], "}"}]}]}], "]"}]& )], 
+     Scaled[{0.53, 1.001}], ImageScaled[{0.5, 0}],
+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->False,
+   AxesLabel->{None, None},
+   AxesOrigin->{Automatic, Automatic},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
+      FormBox[
+      "\"\\!\\(\\*SubscriptBox[\\(A\\), \\(R\\)]\\)\"", TraditionalForm], 
+      None}, {
+      FormBox["\"q\"", TraditionalForm], None}},
+   FrameStyle->Directive[
+     GrayLevel[0], Bold, 20],
+   FrameTicks->{{Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
+     GrayLevel[0], Bold, 18],
+   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]]}& )}, "AxesInFront" -> True},
+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{
+      Scaled[0.02], 
+      Scaled[0.02]}, {
+      Scaled[0.05], 
+      Scaled[0.05]}},
+   Ticks->{Automatic, Automatic}],
+  InterpretTemplate[Legended[
+    Graphics[{{
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+                    AbsoluteThickness[1.6], 
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+                    ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #6}}, 
+                 GridBoxAlignment -> {
+                  "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
+                 AutoDelete -> False, 
+                 GridBoxDividers -> {
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+                 GridBoxItemSize -> {"Columns" -> {{All}}, "Rows" -> {{All}}},
+                  GridBoxSpacings -> {
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+             GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
+             AutoDelete -> False, 
+             GridBoxItemSize -> {
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+             GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
+            "Grid"], Alignment -> Left, AppearanceElements -> None, 
+           ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
+           "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
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+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
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+                   InterpretationBox[
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
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+               RowBox[{"Directive", "[", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
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+                    AbsoluteCurrentValue[Magnification]}]], 
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+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
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+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small"}], "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
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+                    "ClosingActions" -> {
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+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
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+               RowBox[{"Directive", "[", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    TooltipBox[
+                    GraphicsBox[{{
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+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
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+               RowBox[{"Directive", "[", 
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
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+                    RectangleBox[{0, 0}]}, {
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+                    RectangleBox[{1, -1}]}, {
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
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+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
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+           RowBox[{"LabelStyle", "\[Rule]", 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
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+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
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+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
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+   AxesLabel->{None, None},
+   AxesOrigin->{Automatic, Automatic},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
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+   FrameStyle->Directive[
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+   FrameTicks->{{Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
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+           "placement" -> {"x" -> "All", "y" -> "None"}}}}, 
+     "DefaultMeshStyle" -> AbsolutePointSize[6], "ScalingFunctions" -> None, 
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+         (Identity[#]& )[
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+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{
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+      Scaled[0.02]}, {
+      Scaled[0.05], 
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+   Ticks->{Automatic, Automatic}],
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+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #10}}, 
+                 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], {
+          Directive[
+           GrayLevel[0], Bold, 18], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
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+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[
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+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.880722, 0.611041, 0.142051], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.587148, 0.40736066666666665`, 0.09470066666666668], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.880722`", ",", "0.611041`", ",", "0.142051`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.880722, 0.611041, 0.142051]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.880722, 0.611041, 0.142051], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"Opacity", "[", "1.`", "]"}], ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.922526, 0.385626, 0.209179], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.6150173333333333, 0.25708400000000003`, 
+                    0.13945266666666667`], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.922526`", ",", "0.385626`", ",", "0.209179`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.922526, 0.385626, 0.209179]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.922526, 0.385626, 0.209179], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}]}], 
+             "}"}], ",", 
+           RowBox[{"{", 
+             
+             RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6, ",", #7, 
+               ",", #8, ",", #9, ",", #10}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", "None"}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "18"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", 
+             RowBox[{"{", 
+               RowBox[{"\"Column\"", ",", "4"}], "}"}]}]}], "]"}]& )], 
+     Scaled[{0.53, 1.001}], ImageScaled[{0.5, 0}],
+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->False,
+   AxesLabel->{None, None},
+   AxesOrigin->{Automatic, Automatic},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
+      FormBox[
+      "\"\\!\\(\\*SubsuperscriptBox[\\(\[CapitalDelta]\[Phi]\\), \\(221\\), \
+\\((t)\\)]\\)\"", TraditionalForm], None}, {
+      FormBox["\"q\"", TraditionalForm], None}},
+   FrameStyle->Directive[
+     GrayLevel[0], Bold, 20],
+   FrameTicks->{{Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
+      Charting`ScaledFrameTicks[{Identity, Identity}]}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
+     GrayLevel[0], Bold, 18],
+   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]]}& )}, "AxesInFront" -> True},
+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{
+      Scaled[0.02], 
+      Scaled[0.02]}, {
+      Scaled[0.05], 
+      Scaled[0.05]}},
+   Ticks->{Automatic, Automatic}],
+  InterpretTemplate[Legended[
+    Graphics[{
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+             TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
+             AbsoluteThickness[0.1]}}, {7.313220387090301, 
+            FormBox[
+             TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
+             AbsoluteThickness[0.1]}}, {7.3777589082278725`, 
+            FormBox[
+             TemplateBox[{0., 0.}, "Spacer2"], TraditionalForm], {0.005, 0.}, {
+             AbsoluteThickness[0.1]}}}}, {Automatic, Automatic}}],
+      GridLines->FrontEndValueCache[{Automatic, 
+         Charting`ScaledTickValues[{Log, Exp}]}, {Automatic, {{0., 
+           Directive[
+            AbsoluteThickness[0.1]]}, {1.6094379124341003`, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {2.302585092994046, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {3.912023005428146, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {4.605170185988092, 
+           Directive[
+            AbsoluteThickness[0.1]]}, {6.214608098422191, 
+           Directive[
+            AbsoluteThickness[0.1]]}}}],
+      GridLinesStyle->Directive[
+        GrayLevel[0.5, 0.4]],
+      ImageSize->Large,
+      LabelStyle->Directive[
+        GrayLevel[0], Bold, 13],
+      Method->{
+       "OptimizePlotMarkers" -> True, 
+        "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+            (Identity[#]& )[
+             Part[#, 1]], 
+            (Exp[#]& )[
+             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+            (Identity[#]& )[
+             Part[#, 1]], 
+            (Exp[#]& )[
+             Part[#, 2]]}& )}},
+      PlotLabel->None,
+      PlotRange->NCache[{{1, 10}, {0, 
+          Log[600]}}, {{1, 10}, {0, 6.396929655216146}}],
+      PlotRangeClipping->True,
+      PlotRangePadding->{{0, 0}, {0, 0}},
+      Ticks->{Automatic, 
+        Charting`ScaledTicks[{Log, Exp}]}], Scaled[{0.5, 0.5}], Center, 
+     Scaled[{1, 1}]], InsetBox[
+     TemplateBox[{
+      "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(330\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=15 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(221\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=10 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(210\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=15 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(440\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(A\\), \\(R\\)]\\)~0.1 M\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.5, 0, 0.5], 
+                    Dashing[{0, Small, Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.5, 0, 0.5], 
+                    Dashing[{0, Small, Small, Small}]], {}}}, AspectRatio -> 
+                    Full, ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    Dashing[{Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, 
+                    ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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], {
+          Directive[
+           GrayLevel[0], Bold, 13], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.5, 0, 0.5], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.33333333333333337`, 0., 0.33333333333333337`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.5`", ",", "0", ",", "0.5`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.5, 0, 0.5]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.5, 0, 0.5], Editable -> False, Selectable -> 
+                    False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small", ",", "Small", ",", "Small"}], 
+                    "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.5147193333333333, 0.28770266666666666`, 
+                    0.06825800000000001], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.772079, 0.431554, 0.102387]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.772079, 0.431554, 0.102387], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}]}], "}"}], ",", 
+           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[{"True", ",", "True", ",", "True", ",", "True"}], 
+               "}"}]}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "13"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", 
+             RowBox[{"{", 
+               RowBox[{"\"Column\"", ",", "4"}], "}"}]}]}], "]"}]& )], 
+     Scaled[{0.53, 1.0001}], ImageScaled[{0.5, 0}],
+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->False,
+   AxesLabel->{None, None},
+   AxesOrigin->{1., 0.},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
+      FormBox[
+      "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(Res\\)]\\) for \
+\\!\\(\\*SubscriptBox[\\(f\\), \\(sub\\)]\\)\"", TraditionalForm], None}, {
+      FormBox["\"q\"", TraditionalForm], None}},
+   FrameStyle->Directive[
+     GrayLevel[0], Bold, 20],
+   FrameTicks->{{
+      Charting`ScaledTicks[{Log, Exp}], 
+      Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
+     GrayLevel[0], Bold, 13],
+   Method->{
+    "OptimizePlotMarkers" -> True, 
+     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+         (Identity[#]& )[
+          Part[#, 1]], 
+         (Exp[#]& )[
+          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+         (Identity[#]& )[
+          Part[#, 1]], 
+         (Exp[#]& )[
+          Part[#, 2]]}& )}},
+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{0, 0}, {0, 0}},
+   Ticks->{Automatic, 
+     Charting`ScaledTicks[{Log, Exp}]}],
+  InterpretTemplate[Legended[
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+         Directive[
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+          AbsoluteThickness[1.6], 
+          RGBColor[0.5, 0, 0.5], 
+          Dashing[{0, Small, Small, Small}]], 
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+             Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+            (Identity[#]& )[
+             Part[#, 1]], 
+            (Exp[#]& )[
+             Part[#, 2]]}& )}},
+      PlotLabel->None,
+      PlotRange->NCache[{{0.810416666666667, 10.1}, {
+          Log[3], 
+          Log[5000]}}, {{0.810416666666667, 10.1}, {1.0986122886681098`, 
+        8.517193191416238}}],
+      PlotRangeClipping->True,
+      PlotRangePadding->{{
+         Scaled[0.02], 
+         Scaled[0.02]}, {0, 0}},
+      Ticks->{Automatic, 
+        Charting`ScaledTicks[{Log, Exp}]}], Scaled[{0.5, 0.5}], Center, 
+     Scaled[{1, 1}]], InsetBox[
+     TemplateBox[{
+      "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(330\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=15 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(221\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=10 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(210\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(t\\), \\(0\\)]\\)=15 M\"",
+       "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(440\\)]\\): \
+\\!\\(\\*SubscriptBox[\\(A\\), \\(R\\)]\\)~0.1 M\""},
+      "LineLegend",
+      DisplayFunction->(FormBox[
+        StyleBox[
+         StyleBox[
+          PaneBox[
+           TagBox[
+            GridBox[{{
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.5, 0, 0.5], 
+                    Dashing[{0, Small, Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.5, 0, 0.5], 
+                    Dashing[{0, Small, Small, Small}]], {}}}, AspectRatio -> 
+                    Full, ImageSize -> {40, 10}, PlotRangePadding -> None, 
+                    ImagePadding -> Automatic, 
+                    BaselinePosition -> (Scaled[0.1] -> Baseline)], #}}, 
+                 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.560181, 0.691569, 0.194885]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    Dashing[{Small, Small}]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    Dashing[{Small, Small}]], {}}}, AspectRatio -> Full, 
+                    ImageSize -> {40, 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"], 
+               TagBox[
+                GridBox[{{
+                   GraphicsBox[{{
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {
+                    LineBox[{{0, 10}, {40, 10}}]}}, {
+                    Directive[
+                    EdgeForm[
+                    Directive[
+                    Opacity[0.3], 
+                    GrayLevel[0]]], 
+                    PointSize[0.5], 
+                    AbsoluteThickness[1.6], 
+                    RGBColor[0.368417, 0.506779, 0.709798]], {}}}, 
+                    AspectRatio -> Full, ImageSize -> {40, 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], {
+          Directive[
+           GrayLevel[0], Bold, 13], FontFamily -> "Arial"}, Background -> 
+         Automatic, StripOnInput -> False], TraditionalForm]& ),
+      Editable->True,
+      InterpretationFunction:>(RowBox[{"LineLegend", "[", 
+         RowBox[{
+           RowBox[{"{", 
+             RowBox[{
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.5, 0, 0.5], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[0.33333333333333337`, 0., 0.33333333333333337`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.5`", ",", "0", ",", "0.5`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.5, 0, 0.5]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.5, 0, 0.5], Editable -> False, Selectable -> 
+                    False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small", ",", "Small", ",", "Small"}], 
+                    "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.5147193333333333, 0.28770266666666666`, 
+                    0.06825800000000001], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.772079, 0.431554, 0.102387]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.772079, 0.431554, 0.102387], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.24561133333333335`, 0.3378526666666667, 
+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}]}], "}"}], ",", 
+           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[{"True", ",", "True", ",", "True", ",", "True"}], 
+               "}"}]}], ",", 
+           RowBox[{"LabelStyle", "\[Rule]", 
+             RowBox[{"Directive", "[", 
+               RowBox[{
+                 InterpretationBox[
+                  ButtonBox[
+                   TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"GrayLevel", "[", "0", "]"}], NumberMarks -> 
+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    GrayLevel[0]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["GrayLevelColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                   Automatic, Method -> "Preemptive"], 
+                  GrayLevel[0], Editable -> False, Selectable -> False], ",", 
+                 "Bold", ",", "13"}], "]"}]}], ",", 
+           RowBox[{"LegendLayout", "\[Rule]", 
+             RowBox[{"{", 
+               RowBox[{"\"Column\"", ",", "4"}], "}"}]}]}], "]"}]& )], 
+     Scaled[{0.53, 1.0001}], ImageScaled[{0.5, 0}],
+     BaseStyle->{FontSize -> Larger},
+     FormatType->StandardForm]},
+   AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+   Axes->False,
+   AxesLabel->{None, None},
+   AxesOrigin->{0.810416666666667, 1.0986122886681098`},
+   DisplayFunction->Identity,
+   Frame->False,
+   FrameLabel->{{
+      FormBox[
+      "\"\\!\\(\\*SubscriptBox[\\(\[Rho]\\), \\(Res\\)]\\) for \
+\\!\\(\\*SubscriptBox[\\(\[Tau]\\), \\(sub\\)]\\)\"", TraditionalForm], 
+      None}, {
+      FormBox["\"q\"", TraditionalForm], None}},
+   FrameStyle->Directive[
+     GrayLevel[0], Bold, 20],
+   FrameTicks->{{
+      Charting`ScaledTicks[{Log, Exp}], 
+      Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+   ImagePadding->All,
+   ImageSize->Large,
+   LabelStyle->Directive[
+     GrayLevel[0], Bold, 13],
+   Method->{
+    "OptimizePlotMarkers" -> True, 
+     "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+         (Identity[#]& )[
+          Part[#, 1]], 
+         (Exp[#]& )[
+          Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+         (Identity[#]& )[
+          Part[#, 1]], 
+         (Exp[#]& )[
+          Part[#, 2]]}& )}},
+   PlotLabel->None,
+   PlotRange->Automatic,
+   PlotRangeClipping->False,
+   PlotRangePadding->{{
+      Scaled[0.02], 
+      Scaled[0.02]}, {0, 0}},
+   Ticks->{Automatic, 
+     Charting`ScaledTicks[{Log, Exp}]}],
+  InterpretTemplate[Legended[
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+         Directive[
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+          AbsoluteThickness[1.6], 
+          RGBColor[0.5, 0, 0.5], 
+          Dashing[{0, Small, Small, Small}]], 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
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+                    FrameStyle -> 
+                    RGBColor[0.33333333333333337`, 0., 0.33333333333333337`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.5`", ",", "0", ",", "0.5`"}], "]"}], 
+                    NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.5, 0, 0.5]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.5, 0, 0.5], Editable -> False, Selectable -> 
+                    False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"0", ",", "Small", ",", "Small", ",", "Small"}], 
+                    "}"}], "]"}]}], "]"}], ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.560181, 0.691569, 0.194885], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
+                    0.37345400000000006`, 0.461046, 0.12992333333333334`], 
+                    FrameTicks -> None, PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.560181`", ",", "0.691569`", ",", "0.194885`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.560181, 0.691569, 0.194885]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
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+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.560181, 0.691569, 0.194885], Editable -> False,
+                     Selectable -> False]}], "]"}], ",", 
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+                 RowBox[{
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+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.772079, 0.431554, 0.102387], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    0.06825800000000001], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.772079`", ",", "0.431554`", ",", "0.102387`"}],
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+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.772079, 0.431554, 0.102387]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.772079, 0.431554, 0.102387], Editable -> False,
+                     Selectable -> False], ",", 
+                   RowBox[{"Dashing", "[", 
+                    RowBox[{"{", 
+                    RowBox[{"Small", ",", "Small"}], "}"}], "]"}]}], "]"}], 
+               ",", 
+               RowBox[{"Directive", "[", 
+                 RowBox[{
+                   RowBox[{"PointSize", "[", "0.007333333333333334`", "]"}], 
+                   ",", 
+                   RowBox[{"AbsoluteThickness", "[", "1.6`", "]"}], ",", 
+                   InterpretationBox[
+                    ButtonBox[
+                    TooltipBox[
+                    GraphicsBox[{{
+                    GrayLevel[0], 
+                    RectangleBox[{0, 0}]}, {
+                    GrayLevel[0], 
+                    RectangleBox[{1, -1}]}, {
+                    RGBColor[0.368417, 0.506779, 0.709798], 
+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> 
+                    RGBColor[
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+                    0.4731986666666667], FrameTicks -> None, PlotRangePadding -> 
+                    None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
+                    RowBox[{"RGBColor", "[", 
+                    RowBox[{"0.368417`", ",", "0.506779`", ",", "0.709798`"}],
+                     "]"}], NumberMarks -> False]], Appearance -> None, 
+                    BaseStyle -> {}, BaselinePosition -> Baseline, 
+                    DefaultBaseStyle -> {}, ButtonFunction :> 
+                    With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
+                    RGBColor[0.368417, 0.506779, 0.709798]; 
+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
+                    MathLink`CallFrontEnd[
+                    FrontEnd`AttachCell[Typeset`box$, 
+                    FrontEndResource["RGBColorValueSelector"], {
+                    0, {Left, Bottom}}, {Left, Top}, 
+                    "ClosingActions" -> {
+                    "SelectionDeparture", "ParentChanged", 
+                    "EvaluatorQuit"}]]]], BaseStyle -> Inherited, Evaluator -> 
+                    Automatic, Method -> "Preemptive"], 
+                    RGBColor[0.368417, 0.506779, 0.709798], Editable -> False,
+                     Selectable -> False]}], "]"}]}], "}"}], ",", 
+           RowBox[{"{", 
+             RowBox[{#, ",", #2, ",", #3, ",", #4}], "}"}], ",", 
+           RowBox[{"LegendMarkers", "\[Rule]", 
+             RowBox[{"{", 
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+                 RowBox[{"{", 
+                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
+                 RowBox[{"{", 
+                   RowBox[{"False", ",", "Automatic"}], "}"}], ",", 
+                 RowBox[{"{", 
+                   RowBox[{"False", ",", "Automatic"}], "}"}]}], "}"}]}], ",", 
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+             RowBox[{"{", 
+               RowBox[{"True", ",", "True", ",", "True", ",", "True"}], 
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+           RowBox[{"LabelStyle", "\[Rule]", 
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+                    RectangleBox[{0, -1}, {2, 1}]}}, DefaultBaseStyle -> 
+                    "ColorSwatchGraphics", AspectRatio -> 1, Frame -> True, 
+                    FrameStyle -> GrayLevel[0.], FrameTicks -> None, 
+                    PlotRangePadding -> None, ImageSize -> 
+                    Dynamic[{
+                    Automatic, 1.35 CurrentValue["FontCapHeight"]/
+                    AbsoluteCurrentValue[Magnification]}]], 
+                    StyleBox[
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+                    False]], Appearance -> None, BaseStyle -> {}, 
+                   BaselinePosition -> Baseline, DefaultBaseStyle -> {}, 
+                   ButtonFunction :> With[{Typeset`box$ = EvaluationBox[]}, 
+                    If[
+                    Not[
+                    AbsoluteCurrentValue["Deployed"]], 
+                    SelectionMove[Typeset`box$, All, Expression]; 
+                    FrontEnd`Private`$ColorSelectorInitialAlpha = 1; 
+                    FrontEnd`Private`$ColorSelectorInitialColor = 
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+                    FrontEnd`Private`$ColorSelectorUseMakeBoxes = True; 
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+   FrameTicks->{{
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+      Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
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+   ImageSize->Large,
+   LabelStyle->Directive[
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+   Method->{
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+Cell[1843349, 39081, 2282, 35, 40, "Message",ExpressionUUID->"b9c4213a-0e7c-4799-943d-f364e7178e05"],
+Cell[1845634, 39118, 2284, 35, 40, "Message",ExpressionUUID->"ef115732-9ea8-4df9-a591-6bd4cca3c30d"],
+Cell[1847921, 39155, 61703, 1218, 389, "Output",ExpressionUUID->"961302d2-13d1-4375-ade9-c5a1c082a57b"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[1909661, 40378, 348, 8, 30, "Input",ExpressionUUID->"df6bf54d-d9ca-43d0-ab70-8833d9b66a8e"],
+Cell[1910012, 40388, 277, 5, 34, "Output",ExpressionUUID->"04312f3a-d1a9-4d40-9f19-f177124215d9"]
+}, Open  ]],
+Cell[1910304, 40396, 1789, 48, 52, "Input",ExpressionUUID->"c061ac4b-7dd0-4488-981a-d9e39ad210ba"],
+Cell[CellGroupData[{
+Cell[1912118, 40448, 6070, 148, 430, "Input",ExpressionUUID->"053a0694-e2aa-49a3-a5d3-0aaab3258a73"],
+Cell[1918191, 40598, 688, 14, 40, "Message",ExpressionUUID->"aa85f409-b9df-4e22-aff1-85caa4af2abe"],
+Cell[1918882, 40614, 689, 14, 40, "Message",ExpressionUUID->"d4222266-d98f-4733-89ca-ec5a4aa65d67"],
+Cell[1919574, 40630, 60462, 1209, 389, "Output",ExpressionUUID->"5fa4fc7a-3c0f-4e5c-8f1e-d27b1d9ea2ed"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[1980073, 41844, 396, 9, 30, "Input",ExpressionUUID->"18eb66fe-9c48-41a0-9250-b1ca807dfaa8"],
+Cell[1980472, 41855, 302, 6, 34, "Output",ExpressionUUID->"bdc71ec0-94c8-4813-b13b-c7dfcf5e18c6"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[1980811, 41866, 6275, 161, 514, "Input",ExpressionUUID->"e64cc31c-ea3f-44b3-adef-155fe217d554"],
+Cell[1987089, 42029, 613, 13, 40, "Message",ExpressionUUID->"543ad54a-5889-49a4-98c1-da775ea204ee"],
+Cell[1987705, 42044, 613, 13, 40, "Message",ExpressionUUID->"c0641c66-2419-453b-9ea9-d3c0cc81db60"],
+Cell[1988321, 42059, 58417, 1169, 389, "Output",ExpressionUUID->"cf7ed30e-cfaf-4e62-9d13-8e574d7ea64f"]
+}, Open  ]]
+}, Open  ]]
+}, Open  ]]
+}
+]
+*)
+
diff --git a/code/RDown.m b/code/RDown.m
new file mode 100644
index 0000000..e38f7fa
--- /dev/null
+++ b/code/RDown.m
@@ -0,0 +1,909 @@
+(* ::Package:: *)
+
+(************************************************************************)
+(* This file was generated automatically by the Mathematica front end.  *)
+(* It contains Initialization cells from a Notebook file, which         *)
+(* typically will have the same name as this file except ending in      *)
+(* ".nb" instead of ".m".                                               *)
+(*                                                                      *)
+(* This file is intended to be loaded into the Mathematica kernel using *)
+(* the package loading commands Get or Needs.  Doing so is equivalent   *)
+(* to using the Evaluate Initialization Cells menu command in the front *)
+(* end.                                                                 *)
+(*                                                                      *)
+(* DO NOT EDIT THIS FILE.  This entire file is regenerated              *)
+(* automatically each time the parent Notebook file is saved in the     *)
+(* Mathematica front end.  Any changes you make to this file will be    *)
+(* overwritten.                                                         *)
+(************************************************************************)
+
+
+
+(* Probably not all the extra packages are really needed *)
+BeginPackage["RDown`"];
+
+
+EasyMatchT::usage="EasyMatchT[h1_,h2_,tMin_,tMax_]. Time domain version of the match as in eq. (2) of 1903.08284. tMin and tMax are the time interval where to compute the match.";
+PlanckTaper::usage="PlanckTaper[t,t1,t2] is the one-sided version of the tapering function described in CQG27:084020, arXiv:1003.2939 [gr-qc].";
+TimeOfMaximum::usage="TimeOfMaximum[list_?ListQ] determines the time at which a time series reaches the absolute maximum of the modulus.";
+GetAsymptoticMultiMode::usage="GetAsymptoticMode[h5file_,order_,modes_list,OptionsPattern[{\"Verbose\"\[Rule]False}]].";
+EradUIB2017::usage="EradUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the energy radiated of the coalescence of 2 non-precessing quasicurcular BHs as in PRD:DY11536";
+FinalSpinUIB2017::usage="FinalSpinUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the final spin of the coalescence of 2 non-precessing quasicurcular BHs as in PRD:DY11536";
+IsFPNumberQ::usage="IsFPNumberQ[str_String] checks whether a string represents a real Number.";
+ReadFloatingPointNumbers::usage="ReadFloatingPointNumbers[line_String, matchAnyFP_:True] converts string that contains a Fortran or C-style floating point number to a Mathematica Number.";
+StringToNumber::usage="StringToNumber[x_] converts a String x to a number, allowing more general number formats than ToExpression.";
+SXSMetaFilesToRules::usage="SXSMetaFilesToRules[filename_String] converts a SXS metadata.txt file to a list of rules.";
+SXSParClassification::usage="SXSParClassification[sxsdir_,ClassStr_]. Given a list of SXS NR. data folders 'sxsdir', it returns all the cases that match a certain criterion 'ClassStr' (MassRatio range, Precessing or not, Initial Distance, Orbits Number)taking as reference the SXS metadata.txt files. If it is used iteratively, one could do different classifications ";
+TakeColumn::usage="TakeColumn[list1_?ListQ,columns]. Given a list, take the columns specified by 'columns'. ";
+ReSampleTD::usage="ReSampleTD[data_,sample_]. Resample your data with step-size 'sample'.";
+AtomsList::usage="AtomsList[expr_]. Split your expression in elements";
+InterpolationDomain::usage="InterpolationDomain[IntFunction]. Outputs the domain of your interpolated function IntFunction";
+positionDuplicates::usage="positionDuplicates[list_]. Finds the duplicate elements in your list";
+\[Omega]lmn::usage="\[Omega]lmn[l_,m_,n_,\[Eta]_,\[Chi]1_,\[Chi]2_,ModesData\[Rule]{}]. It computes the lmn frequency and damping time for a BBH with parameters {\[Eta],\[Chi]1,\[Chi]2}. ModesData can be feed with a datafile containing the modes data, which it speeds up the computation. ";
+DetectConvergence::usage="DetectConvergence[dampsignal_,\[Tau]_,OptionsPattern[{Test\[Rule]FindMaximum}]]. Given a damped signal and a damping time, it estimaes a time t0 where the decay is order 1%";
+OvertoneModel::usage="OvertoneModelV[overtones_,pars_,OptionsPattern[]]. It provides a RDown ansatz for the desired number 'overtones' with parameters {\[Eta],\[Chi]1,\[Chi]2}.";
+OvertoneModelV2::usage="OvertoneModelV2[overtones_,pars_,ti_,OptionsPattern[]]. Upgraged version of OvertoneModelV2";
+AICcRes::usage="AICRes[residuals_,coeff_]. It computes the AICc value from the residuals given the number of coefficients 'coeff' ";
+BICRes::usage="BICRes[residuals_,coeff_]. It computes the BIC value from the residuals given the number of coefficients 'coeff' ";
+PValueTest::usage="PValueTest[residuals_,coeff_]. It computes the P value from the residuals given the number of coefficients 'coeff' ";
+CNMinimize::usage="CNMinimize[data_,ansatz_,coeffs_,{x_,xlist_},OptionsPattern[]]. Minimizator for complex data where coeffs are the free coefficients to adjust, x is coordinate variable and x_list its values";
+Arg0DStructs::usage="Arg0DStructs[re_,im_] and Arg0DStructs[reim_] computes the phase angle of complex data. the two-argument version is significantly slower, the one-argument version is just a  backwards compatibility interface to UnwrappedPhase.";
+Abs0DStructs::usage="Abs0DStructs[re_,im_] computes the absolute value of complex data.";
+UnwrapPhaseVector::usage="UnwrapPhaseVector[x_?VectorQ] unwraps the phase of a real vector representing a phase angle.";
+UnwrapPhaseMatrix::usage="UnwrapPhaseMatrix[x_?MatrixQ] unwraps the phase of a real time series where the values represent a phase angle.";
+UnwrappedPhase::usage="UnwrapPhase[x_?VectorQ] computes the unwrapped phase of a complex vector representing time series values; UnwrapPhase[x_?MatrixQ] computes the unwrapped phase of a complex time series.";
+CombineColumns::usage="CombineColumns[list1_,list2_] combines columns from two lists in into a single list, e.g. CombineColumns[{1,2,3},{4,5,6}] will yield {{1,4},{2,5},{3,6}}.";
+fH::usage="fH[f,M]";
+fNU::usage="fNU[f,M]";
+
+tPhys::usage="tPhys[t,M]";
+tNR::usage="tNR[t,M]";
+
+
+Begin["`Private`"]
+
+
+Options[EasyMatchT]={PadRight->7, Listable->True, FreqFormat->{"Mf","Index","Index"},DisableChecks->False};
+Options[EasyMatchT]=Options[EasyMatchT];
+EasyMatchT[h1_?ListQ,h2_?ListQ,tMin_,tMax_,OptionsPattern[]]:=Module[{t,fHz,scale,h1red,h2red,tableS,norm1,norm2,myTable,myTable2,prod,psddat,fMinInd,fMaxInd,dt},
+
+h1red=Select[h1,tMin<=#[[1]]<=tMax&][[All,2]];
+h2red=Select[h2,tMin<=#[[1]]<=tMax&][[All,2]];
+
+norm1=Total[(Abs@h1red)^2];
+norm2=Total[(Abs@h2red)^2];
+
+myTable=h1red Conjugate@h2red;
+Re@Total[myTable]/Sqrt[norm1 norm2]
+];
+
+
+IsFPNumberQ[str_String]:=StringMatchQ[StringTrim@str,RegularExpression["[+-]?\\d+\\.?\\d*$"]] || 
+                         StringMatchQ[StringTrim@str,RegularExpression["[-+]?\\d*\\.\\d+([eE][-+]?\\d+)?"]]
+
+
+TimeOfMaximum[list_?ListQ,OptionsPattern[{"MinTime"->""}]]:=Module[{reducedList,vals,maxval,maxpos,mintime},
+
+mintime=OptionValue["MinTime"];
+
+If[NumberQ@mintime,
+ reducedList=Select[list,#[[1]]>= mintime&];,
+ reducedList=list;
+];
+
+vals=Abs@TakeColumn[reducedList,2];
+maxval=Max@vals;
+
+If[Length@Union@vals>1,
+maxpos=First@First@Position[vals,maxval];
+First[reducedList[[maxpos]]],
+"NOMAX"]
+];
+
+
+PlanckTaper[t_?VectorQ,t1_,t2_]:=Module[{tmid=Select[t,t1<#<t2&]},Join[
+ConstantArray[0,Length@Select[t,#<=t1&]],
+1/(Exp[(t2-t1)/(tmid-t1)+(t2-t1)/(tmid-t2)]+1),
+ConstantArray[1,Length@Select[t,#>=t2&]]
+]];
+PlanckTaper[t_?NumberQ,t1_,t2_]:=
+Piecewise[{{0,t<=t1},
+{1/(Exp[(t2-t1)/(t-t1)+(t2-t1)/(t-t2)]+1),t1<t<t2},
+{1,t>= t2}
+}];
+
+
+StringToNumber[y_]:=Module[{temp,x},
+
+x = ToString@y;
+
+temp = StringReplace[x," "->""];
+
+If[StringMatchQ[temp,NumberString],
+  ToExpression@temp,
+  temp = ReadFloatingPointNumbers[temp]; 
+  If[ListQ@temp && Length@temp > 0,
+    First@temp,
+    Indeterminate
+  ]]
+]
+
+
+ReadFloatingPointNumbers[lineIn_String,matchAnyFP_:True]:=Module[{line,fpregex,simpleHackRule,temp},
+temp=Map[ToString,Range[0,9]];
+
+simpleHackRule=temp/.xx_/;StringQ@xx:>xx->xx<>".0";
+line=lineIn/.simpleHackRule;
+
+simpleHackRule=temp/.xx_/;StringQ@xx:>xx<>"."->xx<>".0";
+line=line/.simpleHackRule;
+
+If[matchAnyFP,fpregex="[-+]?\\d*\\.\\d+([eE][-+]?\\d+)?";(*matches any floating point number*),fpregex="[-+]?\\d*\\.?\\d+[eE][-+]?\\d+";(*matches only floating point numbers in exponential format*)];
+Map[Read[StringToStream[#],Number]&,StringCases[line,RegularExpression[fpregex]]]
+];
+
+
+ReSampleTD[data_,sample_]:=Module[{dataInt,domain,times},
+
+dataInt=Interpolation@data;
+domain=InterpolationDomain@dataInt;
+times=Range[domain[[1,1]],domain[[1,2]],sample];
+Transpose[{times,dataInt@times}]
+]
+
+
+(* ::Code::Initialization:: *)
+AtomsList[expr_]:=Union@Select[Level[expr,{0,Infinity}],AtomQ];
+InterpolationDomain[fun_]:=Module[{min,max},fun[[1]]];
+TakeColumn[list1_?ListQ,list2_?ListQ]:=Map[Part[#,list2]&,list1];
+TakeColumn[list1_?ListQ,n_?IntegerQ]:=(list1//Transpose)[[n]];
+
+
+positionDuplicates[listaux_]:=GatherBy[Range@Length[listaux],listaux[[#]]&];
+
+
+Arg0DStructs[reim_?MatrixQ]:=UnwrappedPhase[reim]
+
+
+Arg0DStructs[reim_?MatrixQ,thresh_?NumberQ]:=Arg0DStructs[reim]
+
+
+Arg0DStructs[re_?MatrixQ,im_?MatrixQ]:=Module[{revals,imvals,reim,reimvals,times,i,j,diff,
+tmp,twopi,zero,test,thresh=N@\[Pi]},
+
+times=TakeColumn[re,1];
+revals=TakeColumn[re,2];
+imvals=TakeColumn[im,2];
+reim = revals + I imvals;
+
+reimvals=Arg@TakeColumn[reim,2];
+
+tmp=N[2 \[Pi]];
+twopi=ConstantArray[tmp,Length@times];
+zero=ConstantArray[0.,Length@times];
+
+Do[
+test=(reimvals[[i+1]]-reimvals[[i]]);
+If[(test>thresh),
+reimvals=reimvals-Join[zero[[;;i]],twopi[[i+1;;]]];
+];
+
+If[(test<-thresh),
+reimvals=reimvals+Join[zero[[;;i]],twopi[[i+1;;]]];
+];,
+{i,1,Length@reimvals-1}
+];
+CombineColumns[times,reimvals]
+];
+
+
+Abs0DStructs[re_,im_]:=Module[{revals,imvals,reimvals,times,dt,result},
+
+times=Map[First,re];
+revals=Map[Last,re];
+imvals=Map[Last,im];
+
+reimvals=revals + I imvals;
+reimvals=Abs@reimvals;
+
+result=CombineColumns[times,reimvals]
+];
+
+
+Abs0DStructs[reim_]:=Module[{reimvals,times,dt,result},
+
+times=Map[First,reim];
+
+reimvals=Map[Last,reim];
+reimvals=Abs@reimvals;
+
+result=CombineColumns[times,reimvals]
+];
+
+
+UnwrapPhaseVector=Compile[{{data,_Real,1}},
+(* Juergen Tischer,
+http://forums.wolfram.com/mathgroup/archive/1998/May/msg00105.html*)
+FoldList[Round[(#1-#2)/(2Pi)] 2Pi+#2&,First[data],Rest[data]]
+];
+
+
+UnwrappedPhase[data_?VectorQ]:=UnwrapPhaseVector[Arg@data]
+
+
+UnwrappedPhase[data_?MatrixQ]:=CombineColumns[TakeColumn[data,1],UnwrapPhaseVector[Arg@TakeColumn[data,2]]]
+
+
+CombineColumns[list1_,list2_]:=If[Length@list1==Length@list2, {list1,list2}//Transpose,0{list1,list1}//Transpose]
+
+CombineColumns[list_]:=If[Length@Union@(Length /@ list) == 1, list//Transpose,{}]
+
+
+fH[f_,M_]:=Module[{c,G,MS},
+c=2.99792458 10^8;G=6.67259*10^-11;MS=1.9885*10^30;
+(c)^3/((M)MS(G)) f];(* in Solar mass units *)
+fNU[f_,M_]:=Module[{c,G,MS},c=2.99792458 10^8;G=6.67259*10^-11;MS=1.9885*10^30;((M)MS(G))/(c)^3 f]
+
+tPhys[t_,M_]:=Module[{c,G,MS},c=2.99792458 10^8;G=6.67259*10^-11;MS=1.9885*10^30;
+                     ((M)MS(G))/(c)^3 t]
+
+tNR[t_,M_]:=Module[{c,G,MS},c=2.99792458 10^8;G=6.67259*10^-11;MS=1.9885*10^30;
+                      1/(((M)MS(G))/(c)^3) t]
+
+
+Options[CNMinimize]=Join[Options@NMinimize,{"Method"->Automatic}];
+CNMinimize[data_,ansatz_,vars_,{x_,xlist_},OptionsPattern[]]:=Module[{likelihood,ansatzlist,method},
+method=OptionValue["Method"];
+
+ansatzlist=ansatz/.x->xlist;
+likelihood=Total[(Re[ansatzlist-data]^2+Im[ansatzlist-data]^2)];
+NMinimize[likelihood,vars,Method->method]
+];
+
+
+GetAsymptoticMultiMode[h5file_,order_,list_,OptionsPattern[{"Verbose"->False,"TiReIm"->True,"ZeroAlign"->False,"ReSample"->True,"Sampling"->0.5}]]:=Module[{datasets,targetstring,pos,VPrint,
+l,m,positions,timreim,tt,re,im,import,zeroalign,tmax,resample,wave,sampling},
+VPrint[expr___]:=If[OptionValue["Verbose"],Print[expr]];
+timreim=OptionValue["TiReIm"];
+zeroalign=OptionValue["ZeroAlign"];
+resample=OptionValue["ReSample"];
+sampling=OptionValue["Sampling"];
+                                                        
+datasets=Import[h5file,"Datasets"];
+
+positions=Table[
+                 If[NumberQ[order],l=list[[i,1]];
+                  m=list[[i,2]];
+                  targetstring="/Extrapolated_N"<>ToString[order]<>".dir/Y_l"<>ToString[l]<>"_m"<>ToString[m]<>".dat";
+                      ,
+                  If[order==="outermost",targetstring="/OutermostExtraction.dir/Y_l"<>ToString[l]<>"_m"<>ToString[m]<>".dat";]
+                 ];
+VPrint["Targeting entry: ",targetstring];
+pos=Flatten[Position[datasets,targetstring]];Switch[Length[pos],
+0,Print["Data not found"];Return[Null];,
+1,pos=pos[[1]];,
+_,Print["Error, two entries with this name"];
+Return[Null];];
+VPrint["Annotations: ",Import[h5file,{"Annotations",pos}]];
+VPrint["Data Format: ",Import[h5file,{"DataFormat",pos}]];
+VPrint["Data dimensions: ",Import[h5file,{"Dimensions",pos}]];
+VPrint["Data encoding: ",Import[h5file,{"DataEncoding",pos}]];
+pos,{i,1,Length[list]}];
+
+If[Length[list]==1,
+                 import={Import[h5file,{"Data",positions}]};,
+                 import=Import[h5file,{"Data",positions}];
+];
+
+If[timreim,wave=(#1/. {tt_,re_,im_}->{tt,re+I im}&)/@import;,wave=import];
+If[resample,wave=ReSampleTD[#,sampling]&/@wave;];
+If[zeroalign,tmax=TimeOfMaximum[wave[[1,-Round[(Length@wave[[1]])/2];;-1]]];Table[wave[[i,All,1]]=wave[[i,All,1]]-tmax,{i,Length@import}]];
+wave
+]
+
+
+SXSMetaFilesToRules[filePath_]:=Module[{filepath,fileList,meta1,pos1,meta2,meta3,meta4,value,var,list},
+
+
+If[ListQ@filePath,filepath=filePath[[1]],filepath=filePath];
+If[Not@FileExistsQ@filepath,Print["File not found"];Return[]];
+
+(*Reading the file*)
+fileList=ReadList[filepath,String];
+(*Delete comments*)
+
+meta1=Delete[fileList,Position[StringMatchQ[fileList,"#*"],True]];
+
+(*Fix eccentricity*)
+meta1[[Flatten@Position[StringMatchQ[meta1,"*<*e-*"],True]]]=StringReplace[meta1[[Flatten@Position[StringMatchQ[meta1,"*<*e-*"],True]]],"<"->""];
+
+(*Find = *)
+meta2=meta1[[Flatten@Position[StringMatchQ[meta1,"*=*"],True]]];
+
+meta3=StringSplit[meta2,"="];
+
+(* Select non-empty fields*)
+meta3=Select[meta3,Length@#>1&];
+
+(*Delete spaces*)
+meta4=Transpose[{StringReplace[meta3[[All,1]]," "->""],StringReplace[meta3[[All,2]]," "->""]}];
+
+var=meta4[[All,1]];
+value=meta4[[All,2]];
+
+value=StringSplit[#,","]&/@value;
+(*Delete empty elements*)
+(*value=Select[value, UnsameQ[#, {}] &];*)
+
+list={};
+Do[
+If[Length@value[[i]]==0,
+      {}
+     ,
+      If[IsFPNumberQ@value[[i,1]],
+	  value[[i]]=(StringToNumber@#)&/@value[[i]];
+        ];
+      list=AppendTo[list,{var[[i]]->value[[i]]}];
+     ];
+,
+{i,1,Length@value}];
+
+Flatten@list
+
+]
+
+
+SXSParClassification[sxsdir_?ListQ,ClassStr_?ListQ,OptionsPattern[{"\[Epsilon]"->0.001,"HighSpin"->0.8,"UnRepeated"->False,"Verbose"->False,"Mass1-Str"->"initial-mass1","Mass2-Str"->"initial-mass2"}]]:=Module[{metafiles,metadata,
+orbitStr="number-of-orbits",dStr="initial-separation",mass1Str,mass2Str,spin1Str="initial-dimensionless-spin1",
+spin2Str="initial-dimensionless-spin2",eccStr="relaxed-eccentricity",spin1Dim,spin2Dim,mass1,mass2,massratio,eccentricity,dist,orbit,select,pos,condition,A1,A2,precvalue,precvalueNorm,\[Epsilon],
+spin1Norm,spin2Norm,highspin,spintest,\[Chi]eff,sxsdirout,spinz,spinzDiff,auxDist,posdup,posdupDist,posdistecc,unrepeated,verbose,sxsdiroutaux,precvalue1,precvalue2,precvalueNorm1,precvalueNorm2},
+
+Print["Classification Input Variables. Examples: {{'MassRatio', '0.99<#<1.1'}},{{'Distance', '#>16'}},{{'Orbits', '#>25'}},{{'Precessing'}},
+{{'Non-Precessing'}},{{'High-Spin'}},{{'\[Chi]eff','#>0.6'}},{{'\[Chi]1','#>0.6'}},{{'\[Chi]2','#>0.6'}},{{'Unequal'}}"];
+Print["Take care! Some of the sxs file names are not consistent with the metadata files"];
+Print["The spin definition is consitent with 'initial-spin' values and not relaxed ones"];
+Print["The mass definition is consitent with 'initial-mass' values and not relaxed ones"];
+
+mass1Str=OptionValue["Mass1-Str"];
+mass2Str=OptionValue["Mass2-Str"];
+
+(* Kill the loop if the root directory is wrong *)
+If[And@@(Not/@DirectoryQ/@sxsdir),Print[Style["Directory not found",Red]];Return[{}]];
+
+sxsdirout=sxsdir;
+
+\[Epsilon]=OptionValue["\[Epsilon]"];
+highspin=OptionValue["HighSpin"];
+unrepeated=OptionValue["UnRepeated"];
+verbose=OptionValue["Verbose"];
+
+metafiles=Flatten[FileNames["metadata.txt",#,4]&/@sxsdirout,1];
+metadata=SXSMetaFilesToRules[#]&/@metafiles;
+mass1=Flatten@((mass1Str/.#)&/@metadata);
+mass2=Flatten@((mass2Str/.#)&/@metadata);
+massratio=mass1/mass2;
+dist=Flatten@((dStr/.#)&/@metadata);
+orbit=Flatten@((orbitStr/.#)&/@metadata);
+spin1Dim=((spin1Str/.#)&/@metadata);
+spin2Dim=((spin2Str/.#)&/@metadata);
+A1=(1+3 massratio/(4.));
+A2=(1+3 /(4.*massratio) );
+\[Chi]eff=massratio/(1.+massratio)*spin1Dim +1./(1+massratio)*spin2Dim;
+eccentricity=Flatten[(eccStr/.#)&/@metadata];
+spinz=Chop/@Transpose[{TakeColumn[spin1Dim,3],TakeColumn[spin2Dim,3]}];
+spinzDiff=Abs[(#[[2]]-#[[1]])&/@spinz];
+condition=ClassStr[[All,1]];
+select=Table[If[Length@ClassStr[[i]]==2,ToExpression@(ClassStr[[i,2]]),"Null"],{i,1,Length@ClassStr}];
+pos=Table[i,{i,Length@sxsdirout}];
+
+Do[
+
+Which[condition[[i]]=="MassRatio",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[massratio,_?(Evaluate[select[[i]]]&)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "Distance",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[sxsdirout=sxsdirout[[pos]];,_?(Evaluate[select[[i]]]&)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "Orbits",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[orbit,_?(Evaluate[select[[i]]]&)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "Non-Precessing",
+
+(*precvalue=(#)\[Cross]{0,0,1}&/@((spin1Dim)A1+(spin2Dim)A2);*)
+precvalue1=(#)\[Cross]{0,0,1}&/@((spin1Dim)A1);
+precvalue2=(#)\[Cross]{0,0,1}&/@((spin2Dim)A2);
+precvalueNorm1=Norm[#]&/@precvalue1;
+precvalueNorm2=Norm[#]&/@precvalue2;
+precvalueNorm=precvalueNorm1^2+precvalueNorm2^2;
+pos=Flatten@Position[precvalueNorm,_?(#<\[Epsilon] &)];
+
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "Unequal",
+
+pos=Flatten@Position[spinzDiff,_?(#>\[Epsilon] &)];
+
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]=="Precessing",
+
+precvalue1=(#)\[Cross]{0,0,1}&/@((spin1Dim)A1);
+precvalue2=(#)\[Cross]{0,0,1}&/@((spin2Dim)A2);
+precvalueNorm1=Norm[#]&/@precvalue1;
+precvalueNorm2=Norm[#]&/@precvalue2;
+precvalueNorm=precvalueNorm1^2+precvalueNorm2^2;
+
+(*precvalue=(#)\[Cross]{0,0,1}&/@((spin1Dim)A1+(spin2Dim)A2);*)
+
+pos=Flatten@Position[precvalueNorm,_?(#>\[Epsilon] &)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "High-Spin",
+
+spin1Norm=Norm[#]&/@spin1Dim;
+spin2Norm=Norm[#]&/@spin2Dim;
+
+spintest=Table[If[Abs@spin1Norm[[i]]>=highspin || Abs@spin2Norm[[i]]>=highspin,True,False],{i,1,Length@spin1Norm}];
+pos=Flatten@Position[spintest,True];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "\[Chi]eff",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[Norm[#]&/@\[Chi]eff,_?(Evaluate[select[[i]]] &)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "\[Chi]1",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[Norm[#]&/@spin1Dim,_?(Evaluate[select[[i]]] &)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+condition[[i]]== "\[Chi]2",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[Norm[#]&/@spin2Dim,_?(Evaluate[select[[i]]] &)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+
+
+condition[[i]]== "relaxed-eccentricity",
+
+If[Length@ClassStr[[i]]!= 2,Print["Wrong input"];Break[]];
+
+pos=Flatten@Position[eccentricity,_?(Evaluate[select[[i]]] &)];
+massratio=massratio[[pos]];
+dist=dist[[pos]];
+orbit=orbit[[pos]];
+spin1Dim=spin1Dim[[pos]];
+spin2Dim=spin2Dim[[pos]];
+A1=A1[[pos]];
+A2=A2[[pos]];
+spinzDiff=spinzDiff[[pos]];
+eccentricity=eccentricity[[pos]];
+\[Chi]eff=\[Chi]eff[[pos]];
+
+sxsdirout=sxsdirout[[pos]];,
+ True,
+Print[Style["Wrong input",Bold,Red,16]];
+Break[];
+];
+,{i,1,Length@ClassStr}];
+
+
+If[unrepeated,
+
+Print["Taking among the repeated cases only those with lower eccentricity and larger D (just in case ei=ej)"];
+
+(* Selecting Case with lower e *)
+auxDist=Transpose[{Round[#&/@massratio,0.1],Round[Chop[#,10^(-2)],0.01]&/@spin1Dim,Round[Chop[#,10^(-2)],0.01]&/@spin2Dim,dist,eccentricity}];
+posdup=positionDuplicates@auxDist[[All,1;;3]];
+posdistecc=Flatten[#,1]&/@Table[Position[auxDist[[posdup[[i]],5]],Min@auxDist[[posdup[[i]],5]]],{i,1,Length@posdup}];
+posdistecc=Flatten@Table[posdup[[i,posdistecc[[i]]]],{i,1,Length@posdup}];
+sxsdirout=sxsdirout[[posdistecc]];
+
+(* Selecting Case with larger D *)
+auxDist=auxDist[[posdistecc]];
+posdup=positionDuplicates@auxDist[[All,1;;3]];
+posdistecc=Flatten[#,1]&/@Table[Position[auxDist[[posdup[[i]],4]],Max@auxDist[[posdup[[i]],4]]],{i,1,Length@posdup}];
+posdistecc=Flatten@Table[posdup[[i,posdistecc[[i]]]],{i,1,Length@posdup}];
+
+auxDist=auxDist[[posdistecc]];
+sxsdirout=sxsdirout[[posdistecc]];
+sxsdiroutaux=SortBy[Table[Join[{sxsdirout[[i]]},auxDist[[i]]],{i,1,Length@sxsdirout}],#[[2]]&];
+
+If[verbose, 
+Print[Prepend[Table[ToString@#&/@sxsdiroutaux[[i]],{i,1,Length@sxsdiroutaux}],{"Case","q","\[Chi]1","\[Chi]2","D","e"}]//TableForm]];
+
+sxsdiroutaux[[All,1]],
+
+auxDist=Transpose[{Round[#&/@massratio,0.1],Round[Chop[#,10^(-2)],0.01]&/@spin1Dim,Round[Chop[#,10^(-2)],0.01]&/@spin2Dim,dist,eccentricity}];
+(*sxsdiroutaux=Table[Join[{sxsdirout[[i]]},auxDist[[i]]],{i,1,Length@sxsdirout}];*)
+sxsdiroutaux=SortBy[Table[Join[{sxsdirout[[i]]},auxDist[[i]]],{i,1,Length@sxsdirout}],#[[2]]&];
+If[verbose, 
+Print[Prepend[Table[ToString@#&/@sxsdiroutaux[[i]],{i,1,Length@sxsdiroutaux}],{"Case","q","\[Chi]1","\[Chi]2","D","e"}]//TableForm]];
+
+sxsdiroutaux[[All,1]]]
+]
+
+
+Options[\[Omega]lmn]={"ModesData"->{},"ModesFile"->""};
+\[Omega]lmn[l_,m_,n_,\[Eta]_,\[Chi]1_,\[Chi]2_,OptionsPattern[]]:=Module[{file,data,modesdata,modesfile,sp,fmass,f\[Chi],\[Chi]\[Omega]\[Tau],\[Omega],\[Tau],llim,ulim},
+modesdata=OptionValue["ModesData"];
+modesfile=OptionValue["ModesFile"];
+
+If[Length[modesdata]==0,
+    If[n<=7,
+       file=modesfile<>"l"<>ToString[l]<>"/n"<>ToString[n+1]<>"l"<>ToString[l]<>"m"<>ToString[m]<>".dat";,
+       file=modesfile<>"l"<>ToString[l]<>"/n7l"<>ToString[l]<>"m"<>ToString[m]<>".dat"];
+       If[Not@FileExistsQ[file],Print["File not found"];Return[];];
+       data=Import[file];,
+       
+       data=modesdata;
+       ];
+
+\[Chi]\[Omega]\[Tau]=TakeColumn[data,{1,2,3}];
+
+fmass=1-EradUIB2017[\[Eta],\[Chi]1,\[Chi]2];
+f\[Chi]=FinalSpinUIB2017[\[Eta],\[Chi]1,\[Chi]2];
+
+ulim=Flatten[Select[\[Chi]\[Omega]\[Tau],#[[1]]>=f\[Chi]&,1]];
+llim=Flatten[Select[\[Chi]\[Omega]\[Tau],#[[1]]-ulim[[1]]<0&][[-1]]];
+\[Omega]=Mean[Join[{ulim},{llim}]][[2]]/fmass;
+\[Tau]=Mean[(Abs[1/Join[{ulim},{llim}]]*fmass)][[-1]];
+{\[Omega],\[Tau]}
+]
+
+
+EradUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_]:=Module[{m1,m2,S},
+m1=1/2 (1+Sqrt[1-4 \[Eta]]);
+m2=1/2 (1-Sqrt[1-4 \[Eta]]);
+
+S= (m1^2 \[Chi]1 + m2^2 \[Chi]2)/(m1^2 + m2^2);
+
+(((1-(2 Sqrt[2])/3) \[Eta]+0.5609904135313374` \[Eta]^2-0.84667563764404` \[Eta]^3+3.145145224278187` \[Eta]^4) (1+S^3 (-0.6320191645391563`+ 4.952698546796005` \[Eta]-10.023747993978121` \[Eta]^2)+S^2 (-0.17762802148331427`+ 2.176667900182948` \[Eta]^2)+S (-0.13084389181783257`- 1.1387311580238488` \[Eta]+5.49074464410971` \[Eta]^2)))/(1+S (-0.9919475346968611`+ 0.367620218664352` \[Eta]+4.274567337924067` \[Eta]^2))
+-0.01978238971523653` S (1-4.91667749015812` \[Eta]) (1-4 \[Eta])^0.5` \[Eta] (\[Chi]1-\[Chi]2)-0.09803730445895877` (1-4 \[Eta])^0.5` (1-3.2283713377939134` \[Eta]) \[Eta]^2 (\[Chi]1-\[Chi]2)+0.01118530335431078` \[Eta]^3 (\[Chi]1-\[Chi]2)^2]
+
+
+FinalSpinUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_]:=Module[{m1,m2,S},
+m1=1/2 (1+Sqrt[1-4 \[Eta]]);
+m2=1/2 (1-Sqrt[1-4 \[Eta]]);
+
+S= (m1^2 \[Chi]1 + m2^2 \[Chi]2)/(m1^2 + m2^2);
+
+(m1^2 \[Chi]1 + m2^2 \[Chi]2) +(2 Sqrt[3] \[Eta]+20.0830030082033` \[Eta]^2-12.333573402277912` \[Eta]^3)/(1+7.2388440419467335` \[Eta])+
+ 0.3223660562764661` (1-4 \[Eta])^0.5` \[Eta]^2 (1+9.332575956437443` \[Eta]) (\[Chi]1-\[Chi]2)-0.059808322561702126` \[Eta]^3 (\[Chi]1-\[Chi]2)^2+
+(2.3170397514509933` (1-4 \[Eta])^0.5` (1-3.2624649875884852` \[Eta]) \[Eta]^3 (\[Chi]1-\[Chi]2) (1/4 (1+Sqrt[1-4 \[Eta]])^2 \[Chi]1+1/4 (1-Sqrt[1-4 \[Eta]])^2 \[Chi]2))/(1/4 (1-Sqrt[1-4 \[Eta]])^2+1/4 (1+Sqrt[1-4 \[Eta]])^2)+
+(((0.` -0.8561951310209386` \[Eta]-0.09939065676370885` \[Eta]^2+1.668810429851045` \[Eta]^3) (1/4 (1+Sqrt[1-4 \[Eta]])^2 \[Chi]1+1/4 (1-Sqrt[1-4 \[Eta]])^2 \[Chi]2))/(1/4 (1-Sqrt[1-4 \[Eta]])^2+1/4 (1+Sqrt[1-4 \[Eta]])^2)+((0.` +0.5881660363307388` \[Eta]-2.149269067519131` \[Eta]^2+3.4768263932898678` \[Eta]^3) (1/4 (1+Sqrt[1-4 \[Eta]])^2 \[Chi]1+1/4 (1-Sqrt[1-4 \[Eta]])^2 \[Chi]2)^2)/(1/4 (1-Sqrt[1-4 \[Eta]])^2+1/4 (1+Sqrt[1-4 \[Eta]])^2)^2+((0.` +0.142443244743048` \[Eta]-0.9598353840147513` \[Eta]^2+1.9595643107593743` \[Eta]^3) (1/4 (1+Sqrt[1-4 \[Eta]])^2 \[Chi]1+1/4 (1-Sqrt[1-4 \[Eta]])^2 \[Chi]2)^3)/(1/4 (1-Sqrt[1-4 \[Eta]])^2+1/4 (1+Sqrt[1-4 \[Eta]])^2)^3)/(1+((-0.9142232693081653`+ 2.3191363426522633` \[Eta]-9.710576749140989` \[Eta]^3) (1/4 (1+Sqrt[1-4 \[Eta]])^2 \[Chi]1+1/4 (1-Sqrt[1-4 \[Eta]])^2 \[Chi]2))/(1/4 (1-Sqrt[1-4 \[Eta]])^2+1/4 (1+Sqrt[1-4 \[Eta]])^2))]
+
+
+Eth[n_,f_] := - Sin[t]^n (D[f/Sin[t]^n,t]+I D[f/Sin[t]^n,p]/Sin[t])
+Yp1[l_,m_]:= FullSimplify[Sqrt[ (l-1)!/(l+1)!]Eth[0,SphericalHarmonicY[l,m,t,p]]]
+Yp2[l_,m_]:= FullSimplify[Sqrt[ (l-2)!/(l+2)!]Eth[1,Eth[0,SphericalHarmonicY[l,m,t,p]]]]
+
+Ethbar[n_,f_] := - Sin[t]^(-n) (D[f Sin[t]^n,t]-I D[f Sin[t]^n,p]/Sin[t])
+Ym1[l_,m_]:= FullSimplify[Sqrt[ (l-1)!/(l+1)!](-1)^(-1) Ethbar[0,SphericalHarmonicY[l,m,t,p]]]
+Ym2[l_,m_]:= FullSimplify[Sqrt[ (l-2)!/(l+2)!](-1)^(-2)Ethbar[-1,Ethbar[0,SphericalHarmonicY[l,m,t,p]]]]
+
+
+
+(* same source, direct formula using Wigner d-functions *)
+wd[n_,l_,m_]:=Sum[
+(-1)^i  Sqrt[(l+m)! (l-m)! (l+n)! (l-n)!] / ((l+m-i)!(l-n-i)!i!(i+n-m)!)
+Cos[t/2]^(2l+m-n-2i)Sin[t/2]^(2i+n-m),
+{i,Max[0,m-n],Min[l+m,l-n]}
+]
+Ydirect[n_,l_,m_]:=FullSimplify[(-1)^n  Sqrt[(2l+1)/(4Pi)] wd[-n,l,m]E^(I m p)]
+
+
+Options[DetectConvergence]={"Test"->FindMaximum};
+DetectConvergence[res_,\[Tau]_,OptionsPattern[]]:=Module[{intres,mins,tmax,t,fits,a,tol,tt,yy,test},
+
+test=OptionValue["Test"];
+
+tmax= 4 * \[Tau];
+intres=Interpolation@res;
+mins=Quiet[Table[test[intres@t,{t,i}],{i,res[[1,1]]+5,res[[1,1]]+5 +tmax,10}]/.{yy_,tt_}->{t/.tt,yy}];
+mins=Select[mins,res[[1,1]]<#[[1]]<res[[-1,1]]&];
+SortBy[mins,First]
+]
+
+
+Options[OvertoneModel]=Join[Options[\[Omega]lmn],{"FixExtra"->True,"Fit\[Alpha]"->{},"Fit\[Tau]"->{},"Mode"->{2,2},"Vary\[Omega]"->False,"\[Omega]val"->{-0.05,0.05}}];
+OvertoneModel[overtones_,pars_,OptionsPattern[]]:=Block[{ansatz,fixetra,fit\[Alpha],fit\[Tau],l,m,mode,modesdata,modesfile,modto0,var,vary\[Omega],Global`t,ti,\[Tau]s,\[Alpha],\[Beta],\[Omega]s,\[Eta],\[Chi]1,\[Chi]2,\[Omega]val},
+fixetra=OptionValue["FixExtra"];
+fit\[Alpha]=OptionValue["Fit\[Alpha]"];
+fit\[Tau]=OptionValue["Fit\[Tau]"];
+mode=OptionValue["Mode"];
+vary\[Omega]=OptionValue["Vary\[Omega]"];
+\[Omega]val=OptionValue["\[Omega]val"];
+modesdata=OptionValue["ModesData"];
+modesfile=OptionValue["ModesFile"];
+
+l=mode[[1]];
+m=mode[[2]];
+{\[Eta],\[Chi]1,\[Chi]2}=pars[[1;;3]];
+
+(* Freqs. & damping times from Vitor *)
+If[Length@modesdata==0,
+	\[Omega]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[1]],{n,0,overtones}];
+	var=Range[0,7];
+	If[vary\[Omega],\[Omega]s=Table[If[n>0,var[[n+1]]=RandomReal[{1+\[Omega]val[[1]],1+\[Omega]val[[2]]}],var[[1]]=1];var[[n+1]]*\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[1]],{n,0,overtones}]];
+	\[Tau]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[2]],{n,0,overtones}];
+	,
+	\[Omega]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[1]],{n,0,overtones}];
+	var=Range[0,7];
+	If[vary\[Omega],\[Omega]s=Table[If[n>0,var[[n+1]]=RandomReal[{1+\[Omega]val[[1]],1+\[Omega]val[[2]]}],var[[1]]=1];var[[n+1]]*\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[1]],{n,0,overtones}]];
+	\[Tau]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[2]],{n,0,overtones}];
+	];
+
+
+ansatz=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)/(\[Tau]s[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]]))] (Cos[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)]+I Sin[ \[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (t)] ),{n,0,overtones}];
+modto0=Complement[Table[i,{i,0,overtones}],fit\[Alpha]];
+modto0=Table[ToExpression["\[Alpha]"<>ToString[modto0[[i]]]],{i,Length@modto0}];
+ansatz=ansatz/.(Table[modto0[[i]]->0,{i,Length@modto0}]);
+
+modto0=Complement[Table[i,{i,0,overtones}],fit\[Tau]];
+modto0=Table[ToExpression["\[Beta]"<>ToString[modto0[[i]]]],{i,Length@modto0}];
+ansatz=ansatz/.(Table[modto0[[i]]->0,{i,Length@modto0}])
+]
+
+
+
+Options[OvertoneModelV2]=Join[Options[\[Omega]lmn],{"FixExtra"->True,"Fit\[Alpha]"->{},"Fit\[Tau]"->{},"Mode"->{2,2},"Vary\[Omega]"->False,"Mixing"->{False,{2,2}},"ReIm"->False,"AmpPhase"->False,"QualityFactor"->False,"ParameterValues"->{},"\[Omega]val"->{-0.05,0.05},"Export_\[Omega]val"->False}];
+OvertoneModelV2[overtones_,pars_,ti_,OptionsPattern[]]:=Block[{ansatz,ampansatz,amphase,ex\[Omega]val,fixetra,fit\[Alpha],fit\[Tau],im,imm,l,m,lm,modesdata,modesfile,mm,mixing,mode,modto0,parvals,phaseansatz,qfact,qfactm,qualfactorQ,re,reim,rem,Global`t,var,vary\[Omega],x,y,\[Tau]s,\[Tau]sm,\[Alpha],\[Beta],\[Omega]m,\[Omega]s,\[Omega]m\[Tau]sm,\[Eta],\[Chi]1,\[Chi]2,mixmode,\[Omega]val},
+fixetra=OptionValue["FixExtra"];
+fit\[Alpha]=OptionValue["Fit\[Alpha]"];
+fit\[Tau]=OptionValue["Fit\[Tau]"];
+mode=OptionValue["Mode"];
+vary\[Omega]=OptionValue["Vary\[Omega]"];
+mixing=OptionValue["Mixing"];
+reim=OptionValue["ReIm"];
+amphase=OptionValue["AmpPhase"];
+parvals=OptionValue["ParameterValues"];
+\[Omega]val=OptionValue["\[Omega]val"];
+ex\[Omega]val=OptionValue["Export_\[Omega]val"];
+modesdata=OptionValue["ModesData"];
+modesfile=OptionValue["ModesFile"];
+qualfactorQ=OptionValue["QualityFactor"];
+{lm,mm}=mixing[[2]];
+
+l=mode[[1]];
+m=mode[[2]];
+{\[Eta],\[Chi]1,\[Chi]2}=pars[[1;;3]];
+
+(* Freqs. & damping times from Vitor *)
+If[Length@modesdata==0,
+	\[Omega]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[1]],{n,0,overtones}];
+	var=Range[0,7];
+	If[vary\[Omega],\[Omega]s=Table[If[n>0,var[[n+1]]=RandomReal[{1+\[Omega]val[[1]],1+\[Omega]val[[2]]}],var[[1]]=1];var[[n+1]]*\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[1]],{n,0,overtones}]];
+	\[Tau]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile][[2]],{n,0,overtones}];
+	qfact=\[Omega]s*\[Tau]s;
+	,
+	\[Omega]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[1]],{n,0,overtones}];
+	var=Range[0,7];
+	If[vary\[Omega],\[Omega]s=Table[If[n>0,var[[n+1]]=RandomReal[{1+\[Omega]val[[1]],1+\[Omega]val[[2]]}],var[[1]]=1];var[[n+1]]*\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[1]],{n,0,overtones}]];
+	\[Tau]s=Table[\[Omega]lmn[l,m,n,\[Eta],\[Chi]1,\[Chi]2,"ModesData"->modesdata[[n+1]]][[2]],{n,0,overtones}];
+	qfact=\[Omega]s*\[Tau]s;
+	];
+
+
+If[Not@amphase,
+    If[qualfactorQ,
+	ansatz=Sum[If[Not@reim,x=ToExpression["x"<>ToString[n]],x=ToExpression[("x"<>ToString[n])]+I ToExpression[("y"<>ToString[n])]]; x Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfact[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))] (Cos[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)]+I Sin[ \[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)] ),{n,0,overtones}];
+		If[mixing[[1]],
+		\[Omega]m\[Tau]sm=Table[\[Omega]lmn[lm,mm,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile],{n,0,overtones}];
+		\[Omega]m=\[Omega]m\[Tau]sm[[All,1]];
+		\[Tau]sm=\[Omega]m\[Tau]sm[[All,2]];
+		qfactm=\[Omega]m*\[Tau]sm;
+		ansatz=ansatz+Sum[If[Not@reim,x=ToExpression["xm"<>ToString[n]],x=ToExpression["xm"<>ToString[n]]+I ToExpression["ym"<>ToString[n]]];x Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfactm[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))] (Cos[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}]];
+	,
+	ansatz=Sum[If[Not@reim,x=ToExpression["x"<>ToString[n]],x=ToExpression[("x"<>ToString[n])]+I ToExpression[("y"<>ToString[n])]]; x Exp[-(Global`t-ti)(1/(\[Tau]s[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))] (Cos[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)]+I Sin[ \[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)] ),{n,0,overtones}];
+		If[mixing[[1]],
+		\[Omega]m\[Tau]sm=Table[\[Omega]lmn[lm,mm,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile],{n,0,overtones}];
+		\[Omega]m=\[Omega]m\[Tau]sm[[All,1]];
+		\[Tau]sm=\[Omega]m\[Tau]sm[[All,2]];
+		ansatz=ansatz+Sum[If[Not@reim,x=ToExpression["xm"<>ToString[n]],x=ToExpression["xm"<>ToString[n]]+I ToExpression["ym"<>ToString[n]]];x Exp[-(Global`t-ti)/(\[Tau]sm[[n+1]])] (Cos[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}]];	
+	];
+	,
+	If[qualfactorQ,
+	re=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfact[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))]Cos[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)+ToExpression["\[Phi]"<>ToString[n]]],{n,0,overtones}];
+	im=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfact[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))]Sin[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)+ToExpression["\[Phi]"<>ToString[n]]],{n,0,overtones}];
+
+		If[mixing[[1]],
+			\[Omega]m\[Tau]sm=Table[\[Omega]lmn[lm,mm,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile],{n,0,overtones}];
+			\[Omega]m=\[Omega]m\[Tau]sm[[All,1]];
+			\[Tau]sm=\[Omega]m\[Tau]sm[[All,2]];
+			qfactm=\[Omega]m*\[Tau]sm;
+			rem=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfactm[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))] (Cos[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}];
+			imm=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)(\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]])/(qfactm[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]])))] (Sin[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}];
+			,
+			rem=0;
+			imm=0;
+			];
+	,
+	re=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)/(\[Tau]s[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]]))]Cos[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)+ToExpression["\[Phi]"<>ToString[n]]],{n,0,overtones}];
+	im=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)/(\[Tau]s[[n+1]](1+ToExpression["\[Beta]"<>ToString[n]]))]Sin[\[Omega]s[[n+1]](1+ToExpression["\[Alpha]"<>ToString[n]]) (Global`t)+ToExpression["\[Phi]"<>ToString[n]]],{n,0,overtones}];
+
+		If[mixing[[1]],
+			\[Omega]m\[Tau]sm=Table[\[Omega]lmn[lm,mm,n,\[Eta],\[Chi]1,\[Chi]2,"ModesFile"->modesfile],{n,0,overtones}];
+			\[Omega]m=\[Omega]m\[Tau]sm[[All,1]];
+			\[Tau]sm=\[Omega]m\[Tau]sm[[All,2]];
+			rem=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)/(\[Tau]sm[[n+1]])] (Cos[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}];
+			imm=Sum[ToExpression["x"<>ToString[n]] Exp[-(Global`t-ti)/(\[Tau]sm[[n+1]])] (Sin[\[Omega]m[[n+1]] (Global`t)]+I Sin[ \[Omega]m[[n+1]] (Global`t)] ),{n,0,overtones}];
+			,
+			rem=0;
+			imm=0;
+			];
+      ];
+ampansatz=Sqrt[(re+rem)^2+(im+imm)^2];
+phaseansatz=ArcTan[im/re];
+ansatz={ampansatz,phaseansatz};
+];
+
+modto0=Complement[Table[i,{i,0,overtones}],fit\[Alpha]];
+modto0=Table[ToExpression["\[Alpha]"<>ToString[modto0[[i]]]],{i,Length@modto0}];
+ansatz=ansatz/.(Table[modto0[[i]]->0,{i,Length@modto0}]);
+
+modto0=Complement[Table[i,{i,0,overtones}],fit\[Tau]];
+modto0=Table[ToExpression["\[Beta]"<>ToString[modto0[[i]]]],{i,Length@modto0}];
+ansatz=ansatz/.(Table[modto0[[i]]->0,{i,Length@modto0}]);
+
+If[ex\[Omega]val,{ansatz,var},ansatz]
+]
+
+
+
+Options[AICcRes]=Options[AICcRes];
+AICcRes[res_,coeff_]:=Module[{err,n,newfit,bracketedvars,ress,weigths},
+err=1;
+n=Length@res;
+ress=Total[err (Abs[res])^2];
+n Log[ress/n]+2(coeff+1)+(2*coeff(coeff+1) )/(n - coeff -1)
+
+]
+
+
+Options[BICRes]=Options[AICcRes];
+BICRes[res_,coeff_]:=Module[{err,fact1,fact2,n,newfit,bracketedvars,ress,weigths},
+err=1;
+n=Length@res;
+ress=Total[err (Abs[res])^2];
+fact1=n Log[ress/n];
+fact2=Log[n](coeff+1.);
+fact1+fact2
+]
+
+
+Options[PValueTest]={"IRoot"->10};
+PValueTest[dfnum_,dfden_,signl_,OptionsPattern[]]:=Module[{xmax,iroot},
+iroot=OptionValue["IRoot"];
+xmax/.FindRoot[NIntegrate[PDF[FRatioDistribution[dfnum,dfden],x],{x,0,xmax}]==1-signl,{xmax,iroot}]]
+
+
+(* ::Code::Initialization:: *)
+End[];
+EndPackage[];
diff --git a/code/RDown.nb b/code/RDown.nb
new file mode 100644
index 0000000..6f42013
--- /dev/null
+++ b/code/RDown.nb
@@ -0,0 +1,5763 @@
+(* Content-type: application/vnd.wolfram.mathematica *)
+
+(*** Wolfram Notebook File ***)
+(* http://www.wolfram.com/nb *)
+
+(* CreatedBy='Mathematica 11.3' *)
+
+(*CacheID: 234*)
+(* Internal cache information:
+NotebookFileLineBreakTest
+NotebookFileLineBreakTest
+NotebookDataPosition[       158,          7]
+NotebookDataLength[    230942,       5755]
+NotebookOptionsPosition[    224466,       5651]
+NotebookOutlinePosition[    224841,       5667]
+CellTagsIndexPosition[    224798,       5664]
+WindowFrame->Normal*)
+
+(* Beginning of Notebook Content *)
+Notebook[{
+
+Cell[CellGroupData[{
+Cell["RDown Package", "Title",
+ CellChangeTimes->{{3.747969475841448*^9, 3.747969478495125*^9}, 
+   3.7479695552006407`*^9, {3.7999761494035053`*^9, 
+   3.7999761534214697`*^9}},ExpressionUUID->"412e446d-949d-4a39-ab8f-\
+2e74aab963be"],
+
+Cell["XJ 2020", "Subtitle",
+ CellChangeTimes->{{3.523020346046398*^9, 3.523020387550603*^9}, {
+  3.7479695097873077`*^9, 3.747969513767797*^9}, {3.799118844355177*^9, 
+  3.799118844758204*^9}},
+ FontSize->18,ExpressionUUID->"03c7a68d-9296-477d-858e-f28f41a96ef7"],
+
+Cell["\<\
+Provide functions to compute Ringdown related quantities in GR:\
+\>", "Subsubtitle",
+ CellChangeTimes->{{3.5230204030134068`*^9, 3.523020425030308*^9}, {
+  3.5230265395509644`*^9, 3.523026547108094*^9}, {3.747969524970929*^9, 
+  3.747969552823316*^9}, {3.799118855009379*^9, 
+  3.799118862349341*^9}},ExpressionUUID->"1dd49449-a8ac-466f-9155-\
+195dee63ff9f"],
+
+Cell[CellGroupData[{
+
+Cell["Compute frequencies and damping times.. ", "Item",
+ CellChangeTimes->{{3.522998382463629*^9, 3.5229984147045593`*^9}, {
+  3.523020439792676*^9, 3.523020517729113*^9}, {3.747969559579624*^9, 
+  3.7479695758881598`*^9}, {3.747969685164095*^9, 3.7479697066498737`*^9}, {
+  3.799118866559821*^9, 
+  3.799118871846408*^9}},ExpressionUUID->"5790c103-deb7-4616-bb6c-\
+3201fb52dcfe"],
+
+Cell["Compute RDown models.", "Item",
+ CellChangeTimes->{{3.522998382463629*^9, 3.5229984147045593`*^9}, 
+   3.523020439792676*^9, {3.523020524113278*^9, 3.523020543890162*^9}, {
+   3.747969712073694*^9, 3.7479697210241117`*^9}, {3.799118874899969*^9, 
+   3.799118881800928*^9}},ExpressionUUID->"44de3030-71f6-405b-999e-\
+75aa76f5f611"]
+}, Open  ]],
+
+Cell["still incomplete", "Text",
+ CellChangeTimes->{{3.5230265802866173`*^9, 3.5230265869424953`*^9}},
+ FontWeight->"Bold",ExpressionUUID->"9611da95-c63f-4174-ad5e-d05a8caf1d44"],
+
+Cell["TODO: Improve and improve", "Text",
+ CellChangeTimes->{{3.525272085056192*^9, 3.52527217803032*^9}, {
+  3.747969747116612*^9, 
+  3.7479697512991533`*^9}},ExpressionUUID->"d61a9f74-a8b4-4661-9a96-\
+0aec3ba57e56"],
+
+Cell[CellGroupData[{
+
+Cell["Begin Package", "Section",
+ CellChangeTimes->{{3.526304277369893*^9, 
+  3.526304293712488*^9}},ExpressionUUID->"d1f4fc7b-0fc3-4dfa-87e1-\
+5cab3334f1ef"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"(*", " ", 
+   RowBox[{
+   "Probably", " ", "not", " ", "all", " ", "the", " ", "extra", " ", 
+    "packages", " ", "are", " ", "really", " ", "needed"}], " ", "*)"}], "\n", 
+  RowBox[{
+   RowBox[{"BeginPackage", "[", "\"\<RDown`\>\"", "]"}], ";"}]}]], "Code",
+ CellChangeTimes->{{3.526314579837529*^9, 3.526314746283765*^9}, {
+   3.526314906743479*^9, 3.526314927567987*^9}, {3.5265719878947163`*^9, 
+   3.526571995104267*^9}, {3.7479693011702957`*^9, 3.7479693395418663`*^9}, {
+   3.751977582079381*^9, 3.7519775867970133`*^9}, {3.795343151330058*^9, 
+   3.795343151662513*^9}, {3.799118908111803*^9, 3.799118912156425*^9}, {
+   3.799119869643715*^9, 3.799119869915152*^9}, 
+   3.799978302275337*^9},ExpressionUUID->"73646baf-e1d8-48be-b891-\
+b1d31c1d0092"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell["Definitions", "Section",
+ CellChangeTimes->{{3.797832428103478*^9, 
+  3.797832433936167*^9}},ExpressionUUID->"62bc7e4c-e5f8-44b8-8aaf-\
+b650c91c7ebe"],
+
+Cell[BoxData[{
+ RowBox[{
+  RowBox[{
+   RowBox[{"EasyMatchT", "::", "usage"}], "=", 
+   "\"\<EasyMatchT[h1_,h2_,tMin_,tMax_]. Time domain version of the match as \
+in eq. (2) of 1903.08284. tMin and tMax are the time interval where to \
+compute the match.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"PlanckTaper", "::", "usage"}], "=", 
+   "\"\<PlanckTaper[t,t1,t2] is the one-sided version of the tapering \
+function described in CQG27:084020, arXiv:1003.2939 [gr-qc].\>\""}], 
+  ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"TimeOfMaximum", "::", "usage"}], "=", 
+   "\"\<TimeOfMaximum[list_?ListQ] determines the time at which a time series \
+reaches the absolute maximum of the modulus.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"GetAsymptoticMultiMode", "::", "usage"}], "=", 
+   "\"\<GetAsymptoticMode[h5file_,order_,modes_list,OptionsPattern[{\\\"\
+Verbose\\\"\[Rule]False}]].\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"EradUIB2017", "::", "usage"}], "=", 
+   "\"\<EradUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the energy radiated \
+of the coalescence of 2 non-precessing quasicurcular BHs as in \
+PRD:DY11536\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"FinalSpinUIB2017", "::", "usage"}], "=", 
+   "\"\<FinalSpinUIB2017[\[Eta]_,\[Chi]1_,\[Chi]2_] is fit for the final spin \
+of the coalescence of 2 non-precessing quasicurcular BHs as in \
+PRD:DY11536\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"IsFPNumberQ", "::", "usage"}], "=", 
+   "\"\<IsFPNumberQ[str_String] checks whether a string represents a real \
+Number.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"ReadFloatingPointNumbers", "::", "usage"}], "=", 
+   "\"\<ReadFloatingPointNumbers[line_String, matchAnyFP_:True] converts \
+string that contains a Fortran or C-style floating point number to a \
+Mathematica Number.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"StringToNumber", "::", "usage"}], "=", 
+   "\"\<StringToNumber[x_] converts a String x to a number, allowing more \
+general number formats than ToExpression.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"SXSMetaFilesToRules", "::", "usage"}], "=", 
+   "\"\<SXSMetaFilesToRules[filename_String] converts a SXS metadata.txt file \
+to a list of rules.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"SXSParClassification", "::", "usage"}], "=", 
+   "\"\<SXSParClassification[sxsdir_,ClassStr_]. Given a list of SXS NR. data \
+folders 'sxsdir', it returns all the cases that match a certain criterion \
+'ClassStr' (MassRatio range, Precessing or not, Initial Distance, Orbits \
+Number)taking as reference the SXS metadata.txt files. If it is used \
+iteratively, one could do different classifications \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"TakeColumn", "::", "usage"}], "=", 
+   "\"\<TakeColumn[list1_?ListQ,columns]. Given a list, take the columns \
+specified by 'columns'. \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"ReSampleTD", "::", "usage"}], "=", 
+   "\"\<ReSampleTD[data_,sample_]. Resample your data with step-size \
+'sample'.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"AtomsList", "::", "usage"}], "=", 
+   "\"\<AtomsList[expr_]. Split your expression in elements\>\""}], 
+  ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"InterpolationDomain", "::", "usage"}], "=", 
+   "\"\<InterpolationDomain[IntFunction]. Outputs the domain of your \
+interpolated function IntFunction\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"positionDuplicates", "::", "usage"}], "=", 
+   "\"\<positionDuplicates[list_]. Finds the duplicate elements in your \
+list\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"\[Omega]lmn", "::", "usage"}], "=", 
+   "\"\<\[Omega]lmn[l_,m_,n_,\[Eta]_,\[Chi]1_,\[Chi]2_,ModesData\[Rule]{}]. \
+It computes the lmn frequency and damping time for a BBH with parameters {\
+\[Eta],\[Chi]1,\[Chi]2}. ModesData can be feed with a datafile containing the \
+modes data, which it speeds up the computation. \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"DetectConvergence", "::", "usage"}], "=", 
+   "\"\<DetectConvergence[dampsignal_,\[Tau]_,OptionsPattern[{Test\[Rule]\
+FindMaximum}]]. Given a damped signal and a damping time, it estimaes a time \
+t0 where the decay is order 1%\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"OvertoneModel", "::", "usage"}], "=", 
+   "\"\<OvertoneModelV[overtones_,pars_,OptionsPattern[]]. It provides a \
+RDown ansatz for the desired number 'overtones' with parameters \
+{\[Eta],\[Chi]1,\[Chi]2}.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"OvertoneModelV2", "::", "usage"}], "=", 
+   "\"\<OvertoneModelV2[overtones_,pars_,ti_,OptionsPattern[]]. Upgraged \
+version of OvertoneModelV2\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"AICcRes", "::", "usage"}], "=", 
+   "\"\<AICRes[residuals_,coeff_]. It computes the AICc value from the \
+residuals given the number of coefficients 'coeff' \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"BICRes", "::", "usage"}], "=", 
+   "\"\<BICRes[residuals_,coeff_]. It computes the BIC value from the \
+residuals given the number of coefficients 'coeff' \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"PValueTest", "::", "usage"}], "=", 
+   "\"\<PValueTest[residuals_,coeff_]. It computes the P value from the \
+residuals given the number of coefficients 'coeff' \>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"CNMinimize", "::", "usage"}], "=", 
+   "\"\<CNMinimize[data_,ansatz_,coeffs_,{x_,xlist_},OptionsPattern[]]. \
+Minimizator for complex data where coeffs are the free coefficients to \
+adjust, x is coordinate variable and x_list its values\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"Arg0DStructs", "::", "usage"}], "=", 
+   "\"\<Arg0DStructs[re_,im_] and Arg0DStructs[reim_] computes the phase \
+angle of complex data. the two-argument version is significantly slower, the \
+one-argument version is just a  backwards compatibility interface to \
+UnwrappedPhase.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"Abs0DStructs", "::", "usage"}], "=", 
+   "\"\<Abs0DStructs[re_,im_] computes the absolute value of complex \
+data.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"UnwrapPhaseVector", "::", "usage"}], "=", 
+   "\"\<UnwrapPhaseVector[x_?VectorQ] unwraps the phase of a real vector \
+representing a phase angle.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"UnwrapPhaseMatrix", "::", "usage"}], "=", 
+   "\"\<UnwrapPhaseMatrix[x_?MatrixQ] unwraps the phase of a real time series \
+where the values represent a phase angle.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"UnwrappedPhase", "::", "usage"}], "=", 
+   "\"\<UnwrapPhase[x_?VectorQ] computes the unwrapped phase of a complex \
+vector representing time series values; UnwrapPhase[x_?MatrixQ] computes the \
+unwrapped phase of a complex time series.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"CombineColumns", "::", "usage"}], "=", 
+   "\"\<CombineColumns[list1_,list2_] combines columns from two lists in into \
+a single list, e.g. CombineColumns[{1,2,3},{4,5,6}] will yield \
+{{1,4},{2,5},{3,6}}.\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{"fH", "::", "usage"}], "=", "\"\<fH[f,M]\>\""}], ";"}], "\n", 
+ RowBox[{
+  RowBox[{
+   RowBox[{
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+(*CellTagsOutline
+CellTagsIndex->{}
+*)
+(*CellTagsIndex
+CellTagsIndex->{}
+*)
+(*NotebookFileOutline
+Notebook[{
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+}, Closed]],
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+Cell[163019, 4249, 53989, 1214, 1972, "Code",ExpressionUUID->"497c5c2c-74eb-4562-8f69-941dcd0056c7"]
+}, Open  ]],
+Cell[CellGroupData[{
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+Cell[222474, 5590, 1570, 42, 110, "Code",ExpressionUUID->"dedb7461-041a-428c-ba62-81c1dfe604f2"]
+}, Open  ]]
+}, Open  ]],
+Cell[CellGroupData[{
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+Cell[224181, 5640, 257, 7, 72, "Code",ExpressionUUID->"c8870d35-e01d-4f7c-b081-273dc39f3a98",
+ InitializationCell->True]
+}, Open  ]]
+}, Open  ]]
+}
+]
+*)
+
diff --git a/code/mcmc.m b/code/mcmc.m
new file mode 100755
index 0000000..3e77bfa
--- /dev/null
+++ b/code/mcmc.m
@@ -0,0 +1,475 @@
+(* ::Package:: *)
+
+(* Mathematica Package *)
+
+BeginPackage["MCMC`", {"Units`","DataFits`","BBHReduce`","NRTimeSeries`"}];
+
+MCMC::usage = "MCMC[plogexpr, paramspec, numsteps]
+
+Perform MCMC sampling of the supplied probability distribution.
+
+1. plogexpr should be an expression that gives the unnormalized log
+probability for a particular choice of parameter values.
+
+2. paramspec either gives the results of a previous MCMC run (w/ same
+plogexpr--just to add on more iterations), or lists the model parameters
+like so:
+{{param1, ival1, spread1, domain1}, ...}
+a) Each param should be symbolic.
+b) ival is the initial parameter value.
+c) spread is roughly how far to try to change the parameter each step in
+the Markov chain. In this routine we select new parameters values based
+on an exponential distribution of the form Exp[\[CapitalDelta]param/spread]. My
+Numerical Recipes book advises setting these spreads so that the average
+candidate acceptance is 10-40%.
+d) Each domain is either Reals or a list of all possible values the
+parameter can take on (needs to be a uniform grid).
+
+3. numsteps is the number of Markov chain steps to perform.";
+
+MCMCModelFit::usage = "MCMCModelFit[data, errors, model, paramspec, ivars, numsteps]
+
+Perform MCMC samping of the probability distribution resulting from
+modeling data with model, assuming Gaussian errors. Straightforward
+wrapper around MCMC and GetChisqExpr.
+
+1. data must be given as:
+{{ivar1, dvar1}, {ivar2, dvar2}, ..., {ivarN, dvarN}}
+where ivar is the independent variable, dvar is the dependent variable,
+and N is the number of data points. Either the ivars or dvars can be
+vector valued; if the independent variable is a vector, then we're just
+dealing with a function of multiple variables, and if the dependent variable
+is, then we have a vector field.
+
+2. errors must have the same length as data (= N), with each entry giving
+the errors in the corresponding dependent variable supplied in data. If
+each dvar is just a number, then so too should be each element of errors;
+if instead each dvar is a vector, then each element of errors should also
+be a vector of the same length.
+
+3. model should evaluate to either a number or a numerical vector
+(depending on dvar) when all parameters and independent variables are set.
+
+4. paramspec either gives the results of a previous MCMC run (w/ same
+plogexpr--just to add on more iterations), or lists the model parameters
+like so:
+{{param1, ival1, spread1, domain1}, ...}
+a) Each param should be symbolic.
+b) ival is the initial parameter value.
+c) spread is roughly how far to try to change the parameter each step in
+the Markov chain. In this routine we select new parameters values based
+on an exponential distribution of the form Exp[\[CapitalDelta]param/spread]. My
+Numerical Recipes book advises setting these spreads so that the average
+candidate acceptance is 10-40%.
+d) Each domain is either Reals or a list of all possible values the
+parameter can take on (needs to be a uniform grid).
+
+5. ivars gives a list of symbolic independent variables, in the same
+order as in data, on which model depends. If there's only one, then it
+need not be a list.
+
+6. numsteps is the number of Markov chain steps to perform.";
+
+GetChisqExpr::usage = "GetChisqExpr[data_List, errors_List, model_, ivars_List]
+
+Compute the chi^2 statistic for the comparison between data and model.
+(Not the reduced chi^2.)
+
+1. data must be given as:
+{{ivar1, dvar1}, {ivar2, dvar2}, ..., {ivarN, dvarN}}
+where ivar is the independent variable, dvar is the dependent variable,
+and N is the number of data points. Either the ivars or dvars can be
+vector valued; if the independent variable is a vector, then we're just
+dealing with a function of multiple variables, and if the dependent variable
+is, then we have a vector field.
+
+2. errors must have the same length as data (= N), with each entry giving
+the errors in the corresponding dependent variable supplied in data. If
+each dvar is just a number, then so too should be each element of errors;
+if instead each dvar is a vector, then each element of errors should also
+be a vector of the same length.
+
+3. ivars gives a list of symbolic independent variables, in the same
+order as in data, on which model depends. If there's only one, then it
+need not be a list.";
+
+MCMCResult::usage = "If your result object is named mcmcobj, try: mcmcobj[\"Properties\"].";
+
+Clear["MCMC`*"];
+
+Begin["`Private`"];
+
+Options[MCMC] = {
+	"BurnFraction" -> 0.1,
+	"Debug" -> False,
+	"ProgressMonitor" -> Column[{Row[{"Step", "/", "MaxSteps", "  ", TimeProgress["TimeElapsed", "DoneFraction"]}],
+		"CurrentParameters"}],
+	"ProgressInterval" -> 10,
+	"SaveTo" -> None,
+	"SaveInterval" -> 1000,
+	"FitResiduals"-> False
+};
+
+MCMC::nonnumer = "Log probability given supplied model does not evaluate to a number for initial parameters; instead evaluated to: `1`\nAbort!";
+MCMC::badinp = "Bad input: `1`.";
+MCMC[plogexpr_, paramspec_, num_Integer, opts : OptionsPattern[]] /;
+	TestMCMCInput[paramspec, num] :=
+	Module[{params, spreads, state, stateval, sets, Ns, discrete,
+		continuous, stateplog, candplog, cand, candval, hist, prevhist, prevnum,
+		prevtime, n, i, t1, t2, burn, alpha, transplog, status = "Initializing...", resume,
+		bestfitparams, z, corr, vars, plogfunc, resultlist, bestfitplot,fitresiduals},
+		Monitor[
+		If[Head[paramspec] === List, (*is user attempting to resume previous mcmc run?*)
+			resume = False; (*no*)
+
+			params = paramspec[[All, 1]];
+			stateval = paramspec[[All, 2]];
+			spreads = paramspec[[All, 3]];
+			sets = paramspec[[All, 4]];
+			prevhist = {};
+			prevnum = 0;
+			prevtime = 0;
+		,
+			resume = True; (*yes*)
+
+			params = "Parameters" /. paramspec[[1]];
+			stateval = Last["ParameterRun" /. paramspec[[1]]];
+			spreads = "ProposalSpreads" /. paramspec[[1]];
+			sets = "ParameterDomains" /. paramspec[[1]];
+
+			prevhist := Drop[Sp["ParameterRun", "ParametersLogPRun", "TransitionLogPRun"] /. paramspec[[1]], -1];
+			prevnum = Length[prevhist];
+			prevtime = "TimeSpent" /. paramspec[[1]]
+		];
+
+		n = Length[spreads]; (* # of parameters *)
+		Ns = Length /@ sets; (* size of each parameter's domain; 0 for real-valued parameters *)
+
+		status = "Evaluating chisq...";
+		plogfunc = Function[Evaluate[params], Evaluate[plogexpr]];
+   
+		discrete = Flatten[Position[sets, _List]]; (* list of parameters that are discrete valued *)
+		continuous = Complement[Range[n], discrete]; (* same, but instead continuous valued *)
+
+		cand = state = stateval; (* set initial condition *)
+
+		If[! discrete === {},
+			(* ensure discrete parameters' ICs are within their domains *)
+			state[[discrete]] = Nearest[sets[[#]] -> Range[Length[sets[[#]]]], stateval[[#]]][[1]] & /@ discrete;
+			(* convert discrete parameters' proposal dist spreads to index spreads. doesn't really work for nonuniform domains... *)
+			spreads[[discrete]] /= (Mean[GetDifferences[sets[[#]]]] & /@ discrete);
+		];
+
+		t1 = t2 = AbsoluteTime[];
+
+		status = "Initial step...";
+		If[resume,
+			stateplog = Last["ParametersLogPRun" /. paramspec[[1]]];
+		,
+			stateplog = plogfunc @@ stateval;
+			(*stateplog = Abs[plogfunc @@ stateval] (* Modified by Xisco *)*)
+		];
+		candplog = 0;
+
+		If[!NumericQ[stateplog],
+			Message[MCMC::nonnumer, stateplog];
+			Return[$Failed];
+		];
+
+		(* hist is complete run history. set initial point. *)
+		hist = Table[{0., 0., 0.}, {num}];
+
+		For[i = 2, i <= num, i++,
+			hist[[i-1]] = {stateval, stateplog, transplog(*Min[0, candplog - stateplog]*)};
+
+			(* save all information about run at intervals, if desired *)
+			If[Head[OptionValue["SaveTo"]] === String && Mod[i, OptionValue["SaveInterval"]] == 0,
+				Put[{
+						"BestFitParameters" -> Rule @@@ Sp[params, Mean[Join[prevhist, hist][[1 ;; i - 1 + prevnum, 1]]] // N],
+						"ParameterErrors" -> Rule @@@ Sp[params, StandardDeviation[Join[prevhist, hist][[1 ;; i - 1 + prevnum, 1]]] // N],
+						"AverageAcceptance" -> N[Mean[Exp[Join[prevhist, hist][[1 ;; i - 1 + prevnum, 3]]]]],
+						"TimeSpent" -> (t2 - t1) Second + prevtime,
+						"Parameters" -> params,
+						"ProposalSpreads" -> spreads,
+						"ParameterDomains" -> sets,
+						"BurnFraction" -> OptionValue["BurnFraction"],
+						"BurnEnd" -> burn,
+						"ParameterRun" -> Join[prevhist, hist][[1 ;; i - 1 + prevnum, 1]],
+						"ParametersLogPRun" -> Join[prevhist, hist][[1 ;; i - 1 + prevnum, 2]],
+						"TransitionLogPRun" -> Join[prevhist, hist][[1 ;; i - 1 + prevnum, 3]],
+						"BurnFraction" -> OptionValue["BurnFraction"]
+					}
+				,
+					OptionValue["SaveTo"]
+				]
+			];
+
+			(* update status indicator *)
+			If[Mod[i, OptionValue["ProgressInterval"]] == 0,
+				status = OptionValue["ProgressMonitor"] /. \
+					{
+						"CurrentParameters" -> Rule @@@ Sp[params, stateval],
+						"TimeElapsed" -> t2 - t1,
+						"DoneFraction" -> (i - 1)/(num),
+						"Step" -> i,
+						"MaxSteps" -> num,
+						"AverageAcceptance" -> If[And[! FreeQ[OptionValue["ProgressMonitor"], "AverageAcceptance"], i > 2],
+							Chop[N[Mean[Exp[hist[[2 ;; i-1, 3]]]]]], Null
+						]
+					}
+			];
+
+			alpha = RandomReal[{0, 1}, n]; (* random variables with which to generate candidate point *)
+			If[! continuous === {},
+				cand[[continuous]] = ExpSampleList[state[[continuous]], spreads[[continuous]], alpha[[continuous]]];
+			];
+			If[! discrete === {},
+				cand[[discrete]] = DiscExpSampleList[state[[discrete]], Ns[[discrete]], spreads[[discrete]], alpha[[discrete]]]
+			];
+
+			candval = cand;
+			If[! discrete === {},
+				candval[[discrete]] = sets[[#, cand[[#]]]] & /@ discrete;
+			];
+
+			If[OptionValue["Debug"], Print["cand ",cand," ","candval",candval]];
+
+			candplog = plogfunc @@ candval;
+			(*candplog = Abs[plogfunc @@ candval];(* Modified by Xisco *)*)
+
+
+			transplog = Min[0., candplog - stateplog +
+				If[! discrete === {}, (* discrete proposal dist is not symmetric (continuous is). take this into account. *)
+					Total[DiscExpPlog @@@ Sp[state[[discrete]], cand[[discrete]], Ns[[discrete]], spreads[[discrete]]]] -
+						Total[DiscExpPlog @@@ Sp[cand[[discrete]], state[[discrete]], Ns[[discrete]], spreads[[discrete]]]]
+				,
+					0
+				]
+			];
+
+			alpha = RandomReal[{0, 1}]; (* random variable with which to determine whether to accept candidate *)
+
+			If[OptionValue["Debug"], Print["transplog ",transplog," vs. random plog ",Log[alpha]]];
+
+			If[Log[alpha] < transplog,
+				 If[OptionValue["Debug"], Print["cand accepted; had plog ",transplog]];
+
+				 state = cand;
+				 stateval = candval;
+				 stateplog = candplog
+				 ,
+				 If[OptionValue["Debug"], Print["cand rejected; had plog ",transplog]];
+			];
+			t2 = AbsoluteTime[];
+		];
+
+		hist[[num]] = {stateval, stateplog, Min[0, candplog - stateplog]};
+
+		burn = Ceiling[Min[(num + prevnum)/2, Max[1000, (num + prevnum)*OptionValue["BurnFraction"]]]];
+
+		bestfitparams = Rule @@@ Sp[params, Mean[Join[prevhist, hist][[burn ;; num + prevnum, 1]]] // N];
+
+		status = "Computing correlation matrix...";
+		corr = Correlation[Join[prevhist, hist][[All, 1]]];
+
+		status = "Done!";
+		, status];
+
+		resultlist = {
+			"BestFitParameters" -> bestfitparams,
+			"ParameterErrors" -> Rule @@@ Sp[params, StandardDeviation[Join[prevhist, hist][[burn ;; num + prevnum, 1]]] // N],
+			"AverageAcceptance" -> N[Mean[Exp[Join[prevhist, hist][[burn ;; num + prevnum, 3]]]]],
+			"TimeSpent" -> (t2 - t1) Second + prevtime,
+			"NumSteps" -> num + prevnum,
+			"Parameters" -> params,
+			"ProposalSpreads" -> spreads,
+			"ParameterDomains" -> sets,
+			"BurnFraction" -> OptionValue["BurnFraction"],
+			"BurnEnd" -> burn,
+			"CorrelationMatrix" -> MatrixForm[corr],
+			"ParameterRun" -> Join[prevhist, hist][[All, 1]],
+			"ParametersLogPRun" -> Join[prevhist, hist][[All, 2]],
+			"TransitionLogPRun" -> Join[prevhist, hist][[All, 3]]
+		};
+		MCMCResult[resultlist]
+	];
+
+Options[MCMCModelFit] = Join[Options[MCMC], {"MakeBestFitPlot" -> False}];
+MCMCModelFit[data_List, errors_List, model_, paramspec_, vars_, num_Integer, opts : OptionsPattern[]] /;
+	TestMCMCMFInput[data, errors, model, vars] :=
+	Module[{plogexpr, result, bestfitplot},
+		(*1/2 comes from converting chi^2 to Gaussian*)
+		plogexpr = -GetChisqExpr[data, errors, model, vars] / 2;
+		
+		result = MCMC[plogexpr, paramspec, num, Sequence@@FilterRules[{opts}, Options[MCMC][[All, 1]]]];
+		
+		If[OptionValue["MakeBestFitPlot"],
+			bestfitplot = If[Length[vars] == 1,
+				Show[
+					Plot[Evaluate[model /. result["BestFitParameters"] /. vars[[1]] -> z], {z, Min[data[[All, 1]]], Max[data[[All, 1]]]}, PlotRange -> All],
+					If[Length[data[[1, 2]]] == 0,
+						ListPlot[data, Joined->False, PlotRange -> All],
+						ListPlot[Table[Sp[data[[All, 1]], data[[All, 2, i]]], {i, 1, Length[model]}], Joined->False, PlotRange -> All]
+					],
+					Frame -> True,
+					Axes -> False
+				]
+			,
+				"Number of ind. variables > 1."
+			];
+			AppendTo[result[[1]], "BestFitPlot" -> bestfitplot];
+		];
+		result
+	];
+
+DiscExpNorm = Compile[{{i, _Integer}, {NN, _Integer}, {t, _Real}},
+	(1 + Exp[1/t] - Exp[(i - NN)/t] - Exp[(1 - i)/t])/(Exp[1/t] - 1)];
+
+DiscExpNormList = Compile[{{i, _Integer, 1}, {NN, _Integer, 1}, {t, _Real, 1}},
+	(1 + Exp[1/t] - Exp[(i - NN)/t] - Exp[(1 - i)/t])/(Exp[1/t] - 1)];
+
+DiscExpPlog = Compile[{{i, _Integer}, {j, _Integer}, {NN, _Integer}, {t, _Real}},
+	-Abs[j - i]/t - Log[DiscExpNorm[i, NN, t]]];
+
+DiscExpSample = Compile[{{i, _Integer}, {NN, _Integer}, {t, _Real}, {alpha, _Real}},
+		Max[If[DiscExpNorm[i, NN, t] alpha <= Exp[1/t] (1 - Exp[-i/t])/(Exp[1/t] - 1),
+			Ceiling[t Log[1 + DiscExpNorm[i, NN, t] alpha (Exp[1/t] - 1) Exp[(i - 1)/t]]]
+		,
+			Ceiling[i - t Log[DiscExpNorm[i, NN, t] alpha (1 - Exp[1/t]) + Exp[1/t] + 1 - Exp[-(i - 1)/t]]]
+		], 1]
+	];
+
+DiscExpSampleList[i_List, NN_List, t_List, alpha_List] := DiscExpSample @@@ Transpose[{i, NN, t, alpha}];
+
+ExpSample = Compile[{state, spreads, alpha},
+	state - Sign[1/2 - alpha] spreads *	(Log[2.] + Log[Min[alpha, 1 - alpha]])
+];
+
+ExpSampleList[state_List, spreads_List, alpha_List] := ExpSample @@@ Transpose[{state, spreads, alpha}];
+
+Chisq[dpoints_List, modpoints_List, errors_List] /; Length[Dimensions[modpoints]] == 2 :=
+	Total[Flatten[(modpoints - dpoints)^2 / errors^2]];
+GetChisqExpr[data_List, errors_List, model_, invars_] :=
+	Module[{ipoints, dpoints, modpoints, modfunc, vars},
+		If[Length[invars] == 0,
+			vars = {invars},
+			vars = invars
+		];
+
+		If[NumericQ[data[[1, 1]]],
+			ipoints = List /@ data[[All, 1]],
+			ipoints = data[[All, 1]]
+		];
+
+		If[NumericQ[data[[1, 2]]],
+			dpoints = List /@ data[[All, 2]];
+			modfunc = Function[Evaluate[vars], {Evaluate[model]}];
+		,
+			dpoints = data[[All, 2]];
+			modfunc = Function[Evaluate[vars], Evaluate[model]];
+		];
+
+		modpoints = modfunc @@@ ipoints;
+
+		Chisq[dpoints, modpoints, errors]
+	];
+
+TimeLeft[timesofar_, fractiondone_] := If[fractiondone == 0., 60 * 60 * 24. - 1., timesofar * (1. / fractiondone - 1.)];
+
+Clear[TimeProgress];
+TimeProgress[timesofar_?NumericQ, fractiondone_?NumericQ] :=
+	Row[{ProgressIndicator[fractiondone],
+		", Time elapsed: " <> DateString[timesofar, {"Hour24", ":", "Minute", ":", "Second"}],
+		", Time left: " <>	DateString[TimeLeft[timesofar, fractiondone], {"Hour24", ":", "Minute", ":", "Second"}]}];
+
+Sp[x__List] /; (Equal @@ Length /@ {x}) && Length[{x}] > 1 :=
+		Transpose[{x}];
+
+(*Gets y[i+1] - y[i]*)
+GetDifferences[list_List] :=
+		Drop[(RotateLeft[list] - list), -1];
+
+TestMCMCInput[paramspec_, num_Integer] :=
+(
+	If[!MatchQ[paramspec, _MCMCResult],
+		If[!(Length[Dimensions[paramspec]] == 2 && Dimensions[paramspec][[2]] == 4 &&
+			MatchQ[paramspec[[All, 1]], {__Symbol}]),
+			Message[MCMC::badinp, "bad parameter specification"];
+			Return[False]
+		]
+	];
+
+	If[num < 2,
+		Message[MCMC::badinp, "need at least 2 steps"];
+		Return[False]
+	];
+
+	Return[True];
+);
+
+TestMCMCMFInput[data_List, errors_List, model_, vars_] :=
+(
+	If[!(MatchQ[data, {{{__?NumericQ}, {__?NumericQ}}..}] ||
+		MatchQ[data, {{_?NumericQ, {__?NumericQ}}..}] ||
+		MatchQ[data, {{_?NumericQ, _?NumericQ}..}] ||
+		MatchQ[data, {{{__?NumericQ}, _?NumericQ}..}]),
+
+		Message[MCMC::badinp, "data shaped inconsistently/incorrectly"];
+		Return[False];
+	];
+
+	If[Length[data /. _?NumericQ -> 1 // Union] > 1,
+		Message[MCMC::badinp, "data shaped inconsistently"];
+		Return[False];
+	];
+
+	If[!(data[[All, 2]] /. _?NumericQ -> 1) === (errors /. _?NumericQ -> 1),
+		Message[MCMC::badinp, "data shaped differently than errors"];
+		Return[False];
+	];
+
+	If[!If[# == 0, 1, #]&[Length[data[[1,1]]]] == If[# == 0, 1, #]&[Length[vars]],
+		Message[MCMC::badinp, "# of independent vars in data different from specified"];
+		Return[False];
+	];
+
+	Return[True];
+);
+
+Clear[MCMCResult];
+Format[MCMCResult[list_List]] := "MCMCResult"["BestFitParameters" /. list, "\[LeftSkeleton]" <> ToString[Length["ParameterRun" /. list]] <> "\[RightSkeleton]"];
+
+(this:MCMCResult[list_List])["ParameterRunPlots", opts___] :=
+	Table[
+		ListPlot[Transpose[("ParameterRun" /. list)][[i]],
+			AxesLabel -> {"Step", ToString[this["Parameters"][[i]]]},
+			FrameLabel -> {"Step", ToString[this["Parameters"][[i]]]},
+			opts
+		] // Rasterize,
+	{i, Length[this["Parameters"]]}];
+
+(this:MCMCResult[list_List])["ParameterHistograms", opts___] :=
+	Table[If[this["NumSteps"] > 1*^6,
+		SmoothHistogram[#,
+			Filling -> Axis,
+			Axes -> {True, False},
+			Ticks -> {Automatic, None},
+			AxesLabel -> {ToString[this["Parameters"][[i]]], None},
+			opts]&
+	,
+		Histogram[#,
+			Ticks -> {Automatic, None},
+			Axes -> {True, False},
+			AxesLabel -> {ToString[this["Parameters"][[i]]], None},
+			opts]&][
+		Transpose[("ParameterRun" /. list)[[this["BurnEnd"] ;; this["NumSteps"]]]][[i]]
+	], {i, Length[this["Parameters"]]}];
+
+(this:MCMCResult[list_List])["Properties"] := Join[list[[All, 1]], {"ParameterRunPlots", "ParameterHistograms"}];
+
+(this:MCMCResult[list_List])[str_String] := str /. list;
+(this:MCMCResult[list_List])[{str__String}] := Rule @@@ Sp[{str}, this /@ {str}];
+
+End[];
+
+EndPackage[];
diff --git a/code/mcmc_demonst.nb b/code/mcmc_demonst.nb
new file mode 100755
index 0000000..25dc1cd
--- /dev/null
+++ b/code/mcmc_demonst.nb
@@ -0,0 +1,8103 @@
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+Cell["Comparison with analytics", "Subsubsection",
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+Cell["\<\
+In this case of a straight line we can also compare with analytic results. \
+The best-fit parameters and parameter errors obtained with MCMC vs. analytic \
+least-squares methods agree nicely! (See e.g. Bevington 2003, ch. 6.)\
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literal 0
HcmV?d00001

-- 
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