(* Content-type: application/vnd.wolfram.mathematica *)

(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)

(* CreatedBy='Mathematica 14.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    951564,      18788]
NotebookOptionsPosition[    942662,      18633]
NotebookOutlinePosition[    943056,      18649]
CellTagsIndexPosition[    943013,      18646]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{

Cell[CellGroupData[{
Cell["Definitions", "Section",
 CellChangeTimes->{{3.933763477237629*^9, 
  3.9337634781959476`*^9}},ExpressionUUID->"bbc7c15f-5b7d-4690-8a22-\
e1e38c3edf32"],

Cell[BoxData[{
 RowBox[{
  RowBox[{
   RowBox[{"Rs", "[", 
    RowBox[{"f_", ",", "\[Alpha]_", ",", "V0_"}], "]"}], "[", "m_", "]"}], ":=", 
  RowBox[{
   FractionBox[
    RowBox[{
     RowBox[{"-", "m"}], 
     RowBox[{"(", 
      RowBox[{"1", "-", 
       SuperscriptBox["m", "2"]}], ")"}]}], 
    RowBox[{"2", 
     SuperscriptBox[
      RowBox[{"(", 
       RowBox[{
        RowBox[{"f", "[", "1", "]"}], "-", 
        RowBox[{
         RowBox[{"(", 
          RowBox[{"1", "-", 
           SuperscriptBox["m", "2"]}], ")"}], 
         RowBox[{
          RowBox[{"f", "'"}], "[", "1", "]"}]}]}], ")"}], "2"]}]], 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"\[Alpha]", " ", 
      SuperscriptBox["V0", "2"], 
      RowBox[{
       RowBox[{"f", "'"}], "[", "1", "]"}]}], "+", 
     RowBox[{
      RowBox[{"(", 
       RowBox[{"2", "-", "\[Alpha]"}], ")"}], 
      RowBox[{"f", "[", "1", "]"}], 
      RowBox[{"(", 
       RowBox[{
        FractionBox[
         RowBox[{"f", "[", "1", "]"}], 
         RowBox[{"1", "-", 
          SuperscriptBox["m", "2"]}]], "-", 
        RowBox[{
         RowBox[{"f", "'"}], "[", "1", "]"}]}], ")"}]}], "-", 
     RowBox[{"\[Alpha]", " ", 
      SqrtBox[
       RowBox[{
        RowBox[{
         FractionBox[
          RowBox[{"4", 
           SuperscriptBox["V0", "2"]}], "\[Alpha]"], 
         RowBox[{"f", "[", "1", "]"}], 
         RowBox[{
          RowBox[{"f", "'"}], "[", "1", "]"}], 
         RowBox[{"(", 
          RowBox[{
           FractionBox[
            RowBox[{"f", "[", "1", "]"}], 
            RowBox[{"1", "-", 
             SuperscriptBox["m", "2"]}]], "-", 
           RowBox[{
            RowBox[{"f", "'"}], "[", "1", "]"}]}], ")"}]}], "+", 
        SuperscriptBox[
         RowBox[{"(", 
          RowBox[{
           FractionBox[
            SuperscriptBox[
             RowBox[{"f", "[", "1", "]"}], "2"], 
            RowBox[{"1", "-", 
             SuperscriptBox["m", "2"]}]], "-", 
           RowBox[{
            RowBox[{"(", 
             RowBox[{
              SuperscriptBox["V0", "2"], "+", 
              RowBox[{"f", "[", "1", "]"}]}], ")"}], 
            RowBox[{
             RowBox[{"f", "'"}], "[", "1", "]"}]}]}], ")"}], "2"]}]]}]}], 
    ")"}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
    RowBox[{"f_", ",", "\[Alpha]_", ",", "V0_"}], "]"}], "[", "m_", "]"}], ":=", 
  RowBox[{
   RowBox[{
    RowBox[{"-", 
     FractionBox["\[Alpha]", "2"]}], 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"Log", "[", 
       RowBox[{"1", "-", 
        RowBox[{
         FractionBox[
          RowBox[{"f", "[", "1", "]"}], 
          RowBox[{
           RowBox[{"f", "'"}], "[", "1", "]"}]], 
         FractionBox[
          RowBox[{"1", "+", 
           RowBox[{"m", "/", 
            RowBox[{
             RowBox[{"Rs", "[", 
              RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}], "[", "m", 
             "]"}]}]}], 
          RowBox[{"1", "-", 
           SuperscriptBox["m", "2"]}]]}]}], "]"}], "+", 
      RowBox[{
       FractionBox[
        SuperscriptBox["V0", "2"], 
        RowBox[{"f", "[", "1", "]"}]], 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"1", "-", 
          RowBox[{
           FractionBox[
            RowBox[{
             RowBox[{"f", "'"}], "[", "1", "]"}], 
            RowBox[{"f", "[", "1", "]"}]], 
           FractionBox[
            RowBox[{"1", "-", 
             SuperscriptBox["m", "2"]}], 
            RowBox[{"1", "+", 
             RowBox[{"m", "/", 
              RowBox[{
               RowBox[{"Rs", "[", 
                RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}], "[", "m", 
               "]"}]}]}]]}]}], ")"}], 
        RowBox[{"-", "1"}]]}]}], ")"}]}], "+", 
   RowBox[{
    FractionBox["1", "2"], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{"-", "m"}], 
      RowBox[{
       RowBox[{"Rs", "[", 
        RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}], "[", "m", "]"}]], 
     "]"}]}]}]}]}], "Input",
 CellChangeTimes->{{3.933763497888567*^9, 3.9337637273614*^9}, 
   3.933763933334261*^9, {3.933763989719284*^9, 3.933763990111755*^9}, {
   3.933843824345691*^9, 3.933843826804023*^9}, 3.933843897783396*^9},
 CellLabel->"In[1]:=",ExpressionUUID->"41b24844-1147-4d0a-b487-e8350b1d5c79"],

Cell[BoxData[{
 RowBox[{
  RowBox[{"Von", "[", 
   RowBox[{"f_", ",", "\[Alpha]_"}], "]"}], ":=", 
  SqrtBox[
   RowBox[{
    FractionBox[
     RowBox[{"1", "-", "\[Alpha]", "+", 
      SqrtBox[
       RowBox[{"1", "-", "\[Alpha]"}]]}], "\[Alpha]"], 
    RowBox[{"f", "[", "1", "]"}]}]]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Vsh", "[", 
   RowBox[{"f_", ",", "\[Alpha]_"}], "]"}], ":=", 
  SqrtBox[
   RowBox[{
    FractionBox[
     RowBox[{
      RowBox[{"2", 
       RowBox[{"(", 
        RowBox[{"1", "+", 
         SqrtBox[
          RowBox[{"1", "-", "\[Alpha]"}]]}], ")"}]}], "-", "\[Alpha]"}], 
     "\[Alpha]"], 
    RowBox[{"f", "[", "1", "]"}], 
    RowBox[{"(", 
     RowBox[{"1", "-", 
      FractionBox[
       RowBox[{"f", "[", "1", "]"}], 
       RowBox[{
        RowBox[{"f", "'"}], "[", "1", "]"}]]}], 
     ")"}]}]]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"VSATs", "[", 
   RowBox[{"f_", ",", "\[Alpha]_"}], "]"}], ":=", 
  SqrtBox[
   RowBox[{
    FractionBox[
     RowBox[{
      RowBox[{"f", "'"}], "[", "1", "]"}], "\[Alpha]"], "-", 
    RowBox[{"f", "[", "1", "]"}]}]]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"VSAT", "[", 
   RowBox[{"f_", ",", 
    RowBox[{"\[Alpha]_", "?", "NumericQ"}]}], "]"}], ":=", 
  RowBox[{"V0", "/.", 
   RowBox[{"FindRoot", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
       RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}], "[", 
      SuperscriptBox["10", 
       RowBox[{"-", "15"}]], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"V0", ",", 
       RowBox[{"VSATs", "[", 
        RowBox[{"f", ",", "\[Alpha]"}], "]"}]}], "}"}]}], "]"}]}]}]}], "Input",\

 CellChangeTimes->{{3.9337642116352386`*^9, 3.933764290035758*^9}, {
  3.933764331668426*^9, 3.933764440182709*^9}, {3.9337652714948797`*^9, 
  3.933765271654711*^9}},
 CellLabel->"In[3]:=",ExpressionUUID->"b03bc860-b1c0-4e93-9060-8118f88e47e4"],

Cell[BoxData[
 RowBox[{
  RowBox[{"mMin", "[", 
   RowBox[{"f_", ",", "\[Alpha]_", ",", "V0_"}], "]"}], ":=", 
  RowBox[{"\[Sqrt]", 
   RowBox[{"(", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{
       RowBox[{
        RowBox[{"-", 
         SuperscriptBox["V0", "2"]}], " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", "2"}], "+", "\[Alpha]"}], ")"}], " ", 
        RowBox[{"f", "[", "1", "]"}], " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"f", "[", "1", "]"}], "-", 
          RowBox[{"2", " ", 
           RowBox[{
            SuperscriptBox["f", "\[Prime]",
             MultilineFunction->None], "[", "1", "]"}]}]}], ")"}], " ", 
        RowBox[{
         SuperscriptBox["f", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}], "+", 
       RowBox[{
        SuperscriptBox["V0", "4"], " ", "\[Alpha]", " ", 
        SuperscriptBox[
         RowBox[{
          SuperscriptBox["f", "\[Prime]",
           MultilineFunction->None], "[", "1", "]"}], "2"]}], "+", 
       RowBox[{"2", " ", 
        SqrtBox[
         RowBox[{
          RowBox[{"-", 
           SuperscriptBox["V0", "4"]}], " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"-", "1"}], "+", "\[Alpha]"}], ")"}], " ", 
          SuperscriptBox[
           RowBox[{"f", "[", "1", "]"}], "4"], " ", 
          SuperscriptBox[
           RowBox[{
            SuperscriptBox["f", "\[Prime]",
             MultilineFunction->None], "[", "1", "]"}], "2"]}]]}], "+", 
       RowBox[{"\[Alpha]", " ", 
        SuperscriptBox[
         RowBox[{"f", "[", "1", "]"}], "2"], " ", 
        RowBox[{
         SuperscriptBox["f", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}], " ", 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"-", 
           RowBox[{"f", "[", "1", "]"}]}], "+", 
          RowBox[{
           SuperscriptBox["f", "\[Prime]",
            MultilineFunction->None], "[", "1", "]"}]}], ")"}]}]}], ")"}], 
     "/", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          SuperscriptBox["V0", "4"], " ", "\[Alpha]"}], "+", 
         RowBox[{"2", " ", 
          SuperscriptBox["V0", "2"], " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"-", "2"}], "+", "\[Alpha]"}], ")"}], " ", 
          RowBox[{"f", "[", "1", "]"}]}], "+", 
         RowBox[{"\[Alpha]", " ", 
          SuperscriptBox[
           RowBox[{"f", "[", "1", "]"}], "2"]}]}], ")"}], " ", 
       SuperscriptBox[
        RowBox[{
         SuperscriptBox["f", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}], "2"]}], ")"}]}], 
    ")"}]}]}]], "Input",
 CellChangeTimes->{{3.933764707636427*^9, 3.933764736628632*^9}},
 CellLabel->"In[7]:=",ExpressionUUID->"b26718dc-2cea-4fdb-b7ee-88d00ee5b4db"],

Cell[BoxData[
 RowBox[{
  RowBox[{"ms", "[", 
   RowBox[{"f_", ",", "\[Alpha]_", ",", "V0_"}], "]"}], ":=", 
  FractionBox[
   SqrtBox[
    RowBox[{
     RowBox[{
      RowBox[{"-", 
       SuperscriptBox["V0", "2"]}], " ", "\[Alpha]"}], "-", 
     RowBox[{"\[Alpha]", " ", 
      RowBox[{"f", "[", "1", "]"}]}], "+", 
     RowBox[{
      SuperscriptBox["f", "\[Prime]",
       MultilineFunction->None], "[", "1", "]"}]}]], 
   SqrtBox[
    RowBox[{
     SuperscriptBox["f", "\[Prime]",
      MultilineFunction->None], "[", "1", "]"}]]]}]], "Input",
 CellChangeTimes->{{3.933764828238638*^9, 3.933764852086349*^9}},
 CellLabel->"In[8]:=",ExpressionUUID->"08648c98-5e11-49e5-9ecf-4568bf068ad0"],

Cell[BoxData[
 RowBox[{
  RowBox[{"mMax", "[", 
   RowBox[{"f_", ",", 
    RowBox[{"\[Alpha]_", "?", "NumericQ"}], ",", 
    RowBox[{"V0_", "?", "NumericQ"}]}], "]"}], ":=", 
  RowBox[{"m", "/.", 
   RowBox[{"FindRoot", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
       RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}], "[", "m", "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{"ms", "[", 
        RowBox[{"f", ",", "\[Alpha]", ",", "V0"}], "]"}]}], "}"}]}], 
    "]"}]}]}]], "Input",
 CellChangeTimes->{{3.933765005098021*^9, 3.9337650409542227`*^9}, {
  3.93376526778261*^9, 3.933765267958608*^9}},
 CellLabel->"In[9]:=",ExpressionUUID->"336506fe-ed5b-44be-8723-7d5b12b2b85d"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"\[ScriptCapitalS]\[ScriptCapitalN]", "[", 
    RowBox[{"f_", ",", "\[Alpha]_", ",", "V0_", ",", "\[Epsilon]_"}], "]"}], 
   "[", 
   RowBox[{"m_", ",", "mh_", ",", "Ap_", ",", "Am_", ",", "D_", ",", "R_"}], 
   "]"}], ":=", 
  RowBox[{"mh", "+", 
   RowBox[{
    FractionBox["1", "2"], "\[ImaginaryI]", " ", "\[Epsilon]", " ", "Am"}], 
   "-", 
   RowBox[{"\[Alpha]", " ", 
    FractionBox["1", "2"], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"f", "'"}], "[", "1", "]"}], 
        RowBox[{"(", 
         RowBox[{
          RowBox[{"D", " ", 
           RowBox[{"f", "[", "1", "]"}]}], "+", 
          RowBox[{
           SuperscriptBox["R", "2"], 
           RowBox[{
            RowBox[{"f", "'"}], "[", "1", "]"}]}]}], ")"}]}], "-", 
       RowBox[{
        FractionBox["1", "2"], 
        RowBox[{"(", 
         RowBox[{
          SuperscriptBox[
           RowBox[{"(", 
            RowBox[{"R", "-", 
             RowBox[{
              FractionBox["1", "2"], "Ap"}]}], ")"}], "2"], "+", 
          RowBox[{
           FractionBox["1", "2"], 
           SuperscriptBox["Am", "2"]}]}], ")"}], 
        RowBox[{"f", "[", "1", "]"}], 
        RowBox[{
         RowBox[{"f", "''"}], "[", "1", "]"}]}]}], 
      RowBox[{
       FractionBox["1", "4"], 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"R", "+", 
          RowBox[{
           FractionBox["1", "2"], "Ap"}]}], ")"}], "2"], 
       SuperscriptBox[
        RowBox[{
         RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}]], "]"}]}], "-", 
   RowBox[{"\[Alpha]", " ", 
    FractionBox["1", "2"], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{
       SuperscriptBox["\[Epsilon]", "2"], "+", 
       RowBox[{"\[ImaginaryI]", " ", "\[Epsilon]", " ", 
        RowBox[{
         RowBox[{"f", "'"}], "[", "1", "]"}], " ", "Am"}], "+", 
       RowBox[{
        FractionBox["1", "4"], 
        RowBox[{"(", 
         RowBox[{
          SuperscriptBox["Ap", "2"], "-", 
          SuperscriptBox["Am", "2"]}], ")"}], 
        SuperscriptBox[
         RowBox[{
          RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}]}], 
      RowBox[{
       FractionBox["1", "4"], 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"R", "+", 
          RowBox[{
           FractionBox["1", "2"], "Ap"}]}], ")"}], "2"], 
       SuperscriptBox[
        RowBox[{
         RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}]], "]"}]}], "+", 
   RowBox[{
    FractionBox["1", "2"], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{
       RowBox[{"D", 
        RowBox[{"(", 
         RowBox[{"1", "-", 
          SuperscriptBox["m", "2"]}], ")"}]}], "+", 
       SuperscriptBox["R", "2"], "-", 
       RowBox[{"2", "R", " ", "m", " ", "mh"}], "+", 
       SuperscriptBox["mh", "2"]}], 
      RowBox[{
       FractionBox["1", "4"], 
       SuperscriptBox[
        RowBox[{"(", 
         RowBox[{"R", "+", 
          RowBox[{
           FractionBox["1", "2"], "Ap"}]}], ")"}], "2"]}]], "]"}]}], "+", 
   RowBox[{
    FractionBox["1", "2"], 
    RowBox[{"Log", "[", 
     FractionBox[
      RowBox[{
       SuperscriptBox["Ap", "2"], "-", 
       SuperscriptBox["Am", "2"]}], 
      SuperscriptBox[
       RowBox[{"(", 
        RowBox[{"R", "+", 
         RowBox[{
          FractionBox["1", "2"], "Ap"}]}], ")"}], "2"]], "]"}]}], "-", 
   RowBox[{
    FractionBox["1", "2"], "\[Alpha]", " ", 
    SuperscriptBox["V0", "2"], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{
       RowBox[{"f", "[", "1", "]"}], "+", 
       FractionBox[
        RowBox[{
         SuperscriptBox["R", "2"], 
         SuperscriptBox[
          RowBox[{
           RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}], 
        RowBox[{
         RowBox[{"D", " ", 
          RowBox[{
           RowBox[{"f", "'"}], "[", "1", "]"}]}], "-", 
         RowBox[{
          FractionBox["1", "2"], 
          RowBox[{"(", 
           RowBox[{
            SuperscriptBox[
             RowBox[{"(", 
              RowBox[{"R", "-", 
               RowBox[{
                FractionBox["1", "2"], "Ap"}]}], ")"}], "2"], "+", 
            RowBox[{
             FractionBox["1", "2"], 
             SuperscriptBox["Am", "2"]}]}], ")"}], 
          RowBox[{
           RowBox[{"f", "''"}], "[", "1", "]"}]}]}]]}], ")"}], 
     RowBox[{"-", "1"}]]}]}]}]], "Input",
 CellChangeTimes->{{3.934536700056289*^9, 3.934536857209461*^9}},
 CellLabel->"In[10]:=",ExpressionUUID->"c1297907-e97f-4b0c-9644-ead31698af8d"],

Cell[BoxData[
 RowBox[{
  RowBox[{"f3", "=", 
   RowBox[{"Function", "[", 
    RowBox[{"q", ",", 
     RowBox[{
      FractionBox["1", "2"], 
      SuperscriptBox["q", "3"]}]}], "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.933764758981324*^9, 3.933764760532564*^9}},
 CellLabel->"In[11]:=",ExpressionUUID->"bc0c79a5-5d5f-41ea-a0ca-c421c1cc8550"]
}, Open  ]],

Cell[CellGroupData[{

Cell["Plots", "Section",
 CellChangeTimes->{{3.933763483188051*^9, 
  3.933763483523979*^9}},ExpressionUUID->"f6acd268-0983-4ccc-b375-\
6fb0a5032805"],

Cell[CellGroupData[{

Cell["Action examples", "Subsection",
 CellChangeTimes->{{3.933763767977631*^9, 
  3.933763772321542*^9}},ExpressionUUID->"80e4596a-0f6c-482b-9d38-\
4e3778e2b753"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"actionPlot1", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{"Function", "[", 
       RowBox[{"V0", ",", 
        RowBox[{
         RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
          RowBox[{
           RowBox[{"Function", "[", 
            RowBox[{"q", ",", "q"}], "]"}], ",", 
           RowBox[{"1", "/", "2"}], ",", "V0"}], "]"}], "[", "m", "]"}]}], 
       "]"}], "/@", 
      RowBox[{"Range", "[", 
       RowBox[{"0", ",", 
        RowBox[{"4", "/", "3"}], ",", 
        RowBox[{"1", "/", "3"}]}], "]"}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "1"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{
        SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
        "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Inset", "[", 
        RowBox[{
         RowBox[{"LineLegend", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"ColorData", "[", "97", "]"}], "/@", 
            RowBox[{"Range", "[", "5", "]"}]}], ",", 
           RowBox[{
            RowBox[{
             RowBox[{"NumberForm", "[", 
              RowBox[{"#", ",", 
               RowBox[{"{", 
                RowBox[{"\[Infinity]", ",", "3"}], "}"}]}], "]"}], "&"}], "/@", 
            RowBox[{"N", "[", 
             RowBox[{"Range", "[", 
              RowBox[{"0", ",", 
               RowBox[{"4", "/", "3"}], ",", 
               RowBox[{"1", "/", "3"}]}], "]"}], "]"}]}], ",", 
           RowBox[{"LegendLayout", "->", 
            RowBox[{"{", 
             RowBox[{"\"\<Column\>\"", ",", "1"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "->", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
              RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
           
           RowBox[{"LegendFunction", "->", "Panel"}], ",", 
           RowBox[{"LegendLabel", "->", 
            SubscriptBox["V", "0"]}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.2", ",", "0.32"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*StyleBox[\"f\",FontSlant->\"Italic\"]\)(\!\(\*StyleBox[\"\
q\",FontSlant->\"Italic\"]\)) = \!\(\*StyleBox[\"q\",FontSlant->\"Italic\"]\)\
\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.85", ",", "0.91"}], "}"}], "]"}]}], "]"}]}], "}"}]}], 
    ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "2"}], "+", "22"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"9", "/", "10"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.025"}], ",", "1.025"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}]}], "}"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.933646174317805*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646650779126*^9, 3.933646681746973*^9}, {3.9336478087296057`*^9, 
   3.933647866395523*^9}, {3.933648129967531*^9, 3.933648172735734*^9}, {
   3.933648218322431*^9, 3.933648279245054*^9}, {3.933648311203576*^9, 
   3.933648314894363*^9}, {3.933648508920226*^9, 3.933648512936564*^9}, {
   3.933648660733887*^9, 3.933648679365475*^9}, {3.933648722808765*^9, 
   3.933648722975849*^9}, {3.9336493614849157`*^9, 3.933649363257634*^9}, {
   3.933649406292515*^9, 3.933649406339818*^9}, {3.933649450189885*^9, 
   3.933649450306967*^9}, {3.933669603756253*^9, 3.93366960474959*^9}, {
   3.933763782188147*^9, 3.933763853668864*^9}, {3.933763889963334*^9, 
   3.9337638968932343`*^9}},
 CellLabel->
  "In[352]:=",ExpressionUUID->"6c182b3c-b61b-4da5-97eb-545f093d6397"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJw9l3k0VfsbxuVGhjKVoeKGZk1mV1QnKRwhkkyZSpeMqSQqUySiYyrUdQ05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          "]], LineBox[CompressedData["
1:eJw9l3k0VP//xxHRhkqyFKLFVggl0VukbMkSQoQoLR8JSYomWySSJFrsIQbT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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ], 
       TagBox[
        {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwV0Hk41GsbB/CppHBkIlGppIW8kqV5y5apVIMSKqEaQxSJkTahLOEkKseW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          "]], LineBox[CompressedData["
1:eJwVjns41WcAxw8RLY/LKNcZRZ3QXCeq6aCVS4xiQh13K0UuI5fiNCuq5RYi
OhTVGRJmkR3nSwghMeTu3EgXR6Em1dq7P37P+3yez+f9fV9t/xP7g8QpFIo7
+f4/33VqGm1xmQbFRb05oaSEw1CIelllR1hH6YtWhx6OVP9F20pbwjfKZ0Up
45y0rNKCcivC/Z1xaonPOOsPNC6yLAlL1Xf3JL3hMBWHHG+ZEb6y0TUpYJmj
OyAqKTEkTOcdrTGjoCJb6mOxHuF4tV1+HRIwc9dyY+oSXpHsDnu1Bux1lhUF
WoSX6DaJxXKwHXKVyFefBmM+uEp14Uvs90iuvaxAOD5bN0NGDaPKhTKZMqRv
oWzqk9CE33BtYJrUNJpemF5R3qCNcM8ZpfOfhKDwyhvbu3SxrPr5+LllIZpy
tU4XulPBGFVuS14UgnYobuWWuD7Sve2jE58Tb0l9KR5ghPUa/j0JQiEYV/VC
lUXGYI7H68ZNkf5CSFTBBVNUHq4YjBok/nRRQPs/5jDXbNsa8YTcrxvQ8uqw
QOPkxNmwLtLLpkublG1Ht4+c+dFmwn5FZSnXreCmRU0LZgvBtcvyivWmYYxL
mwmoE8JXX7+tIcwaL/wic+l3hCimRosGKm0hHTj47kA+6cd8q/uy7ZChI3J2
zSb7y12ORwT2UJ5efds5nfhO4UDgdkdsCrbwsD9LvKKPzSkxZ3x/pKDOKoL8
X0xWrPe9K3457he7xZ68dwWd7dUHMZlGL2ywJf13FT9L3vXE9mrvJkcrsp8s
EpOq9sLCW3fpMFPiF2OjHVoOwS/JIa/mK7KXa+9gk+ELWpZp/Y4FAWjzT02q
DwehsNZovPuVAE0FYZRHYsFYHtpKoT8TQL7lnZohKxhV6lQ7xrgAvqacdSMf
fsLXNzWGWx8Sr7N0O5UTgn/rJJedCgR4LdrrpXUwHF6j4hpTOaT/s/nb3exw
3Pv4eVd4hgDhvR8DftWOQJj1SkrWWQFcPswEeMxHYOKRSPnpCbJPGXiyLS8K
7Imn23x3C8DQHtkcqHkSCavKTkbO8aGly1MrXU5EWD59te8sH8Uvvd7uiUmC
v6FijpOAD9+ZYU7/UhIcvE/VUEf4iI1lt7nGM6Dyh/PcZCvxXWUZ6UlnUOu/
6O9YyMfr3AcHsouSIWre6azjyEeH7GJQnFkq+B5vxhX2EJ/cN3vqTCoG524e
+0zjI8OgXH7+cSrYqnLnR835MPrUXap57DwuRvBaMjbwwdINtb7FugCq9jnL
T+95oMiNKJlaXIIfo1dniMXDrMBHfb1bJn4cKbKaKOGBtWOcHsPIhINJ+EEh
kwfGOaewNXcyYSaU/20hmweacUNF++osSNvtX5Q9w0PePsnHN9hZqJQbbN7r
yYN84WGVNuNsfGCO0u+v4cFCR/aSvfUV8Hbu3JwxwUX80VR9lkY+6HNr1/qM
cuGiduzVql35yGmczisM4YKqGq4os3AN9NiriduCuEg9UlMZY8gE1fSHwH4f
Lur1HO6rhDLRwKo3lHYnnOk1Jv6cicnLFx9G7eIi9g4tPVRQhM0hxksOSlwc
b9kSsvdNMSK3rjAXEqZgEPSi7JFECRqmqDIVGyYxbBdQ2ppwGxvlaTZuzDHM
sovyJSKrUKOXGsIXDKMqnN6xcd89TLVVa5mbD4HFjHHa94CNaYMcE9z7G/5/
cfRe322GQuLv5t+I9aFUUlrSM60NBubzBjcXuzFw/WqEtE8nknfPPbkf2w6V
dE2VlGs9GORIRnsyWlGh4RW4Y6oX/wHW8eXP
          "]], LineBox[CompressedData["
1:eJwVz3s402scAPCVSBIdSaoVytKViuZar1wit2wtToithMqjrU65tDJymQop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          "]], LineBox[CompressedData["
1:eJwVknk41fkXx2UrRih79l3LhCINjSOVJZLsS4isU8lSQlmyJEvJVlJxLRNF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          "]]},
        Annotation[#, "Charting`Private`Tag#2"]& ], 
       TagBox[
        {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwVkmk81ekfhk2lxIw1a8eElqGkbI0lOhOpw0SpqKMkmTpakGwhWxspa6JS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          "]], LineBox[CompressedData["
1:eJwV1Hk8lF8XAPCxFBWS0kYakS1E2VsuZcs6lKVCSpShkoiExpolGiokWZLs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          "]], LineBox[CompressedData["
1:eJwVz3s41GkbB/Ah2VI57JIoh5xSbE3l1CS3qHhVQlaYtJN02tAUSV0GaRQK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          "]]},
        Annotation[#, "Charting`Private`Tag#3"]& ], 
       TagBox[
        {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJw12nc4V+//B/B3oiQhkZSEFCErW9waSsoMWdlURkmiJN4hK8kOyc5KyMiI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          "]]},
        Annotation[#, "Charting`Private`Tag#4"]& ], 
       TagBox[
        {RGBColor[0.528488, 0.470624, 0.701351], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJw12Hk8VN/7AHAqWRIiSyXZsiVUFC2OLUtFtCAUKrSoJqkoaZJEloSEZAk1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          "]]},
        Annotation[#, "Charting`Private`Tag#5"]& ], {}}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw9l3k0VfsbxuVGhjKVoeKGZk1mV1QnKRwhkkyZSpeMqSQqUySiYyrUdQ05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              "]], 
             Line[CompressedData["
1:eJw9l3k0VP//xxHRhkqyFKLFVggl0VukbMkSQoQoLR8JSYomWySSJFrsIQbT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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV0Hk41GsbB/CppHBkIlGppIW8kqV5y5apVIMSKqEaQxSJkTahLOEkKseW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              "]], 
             Line[CompressedData["
1:eJwVjns41WcAxw8RLY/LKNcZRZ3QXCeq6aCVS4xiQh13K0UuI5fiNCuq5RYi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              "]], 
             Line[CompressedData["
1:eJwVz3s402scAPCVSBIdSaoVytKViuZar1wit2wtToithMqjrU65tDJymQop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              "]], 
             Line[CompressedData["
1:eJwVknk41fkXx2UrRih79l3LhCINjSOVJZLsS4isU8lSQlmyJEvJVlJxLRNF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              "]]}, "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVkmk81ekfhk2lxIw1a8eElqGkbI0lOhOpw0SpqKMkmTpakGwhWxspa6JS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              "]], 
             Line[CompressedData["
1:eJwV1Hk8lF8XAPCxFBWS0kYakS1E2VsuZcs6lKVCSpShkoiExpolGiokWZLs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              "]], 
             Line[CompressedData["
1:eJwVz3s41GkbB/Ah2VI57JIoh5xSbE3l1CS3qHhVQlaYtJN02tAUSV0GaRQK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              "]]}, "Charting`Private`Tag#3"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw12nc4V+//B/B3oiQhkZSEFCErW9waSsoMWdlURkmiJN4hK8kOyc5KyMiI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              "]]}, "Charting`Private`Tag#4"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.528488, 0.470624, 0.701351], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw12Hk8VN/7AHAqWRIiSyXZsiVUFC2OLUtFtCAUKrSoJqkoaZJEloSEZAk1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              "]]}, "Charting`Private`Tag#5"], {}}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {317, 
             Rational[2853, 10]}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.528488, 0.470624, 0.701351], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {317, 
            Rational[2853, 10]}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.528488, 0.470624, 0.701351], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.922526, 0.385626, 0.209179], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.560181, 0.691569, 0.194885], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.880722, 0.611041, 0.142051], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw9l3k0VfsbxuVGhjKVoeKGZk1mV1QnKRwhkkyZSpeMqSQqUySiYyrUdQ05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          "]], 
         Line[CompressedData["
1:eJw9l3k0VP//xxHRhkqyFKLFVggl0VukbMkSQoQoLR8JSYomWySSJFrsIQbT
p8gy5mUnZIlExGAmY7aUJaR835/fH797zj33PM7jtTzvOfeec+82jys2Xnw8
PDzf8fnftdF/yVw5qRcRtzh5HhzphGsBKu4PxPuQqpCgwJWWNvg8JGpzrqUf
Her4p8g1vhHcbuhNCFoMIkXDx5OHU2tA2bPlE9d+ED1Pt1T2jqyBacuTDZ/c
B5Gy2M3RZ1drIGr75czs64MovkshVcWsBoidz5xR9iDK2dw43fcLYGHH787A
xUGU8Vd8XWc9BRI/VpTT84cQIzLY2vIKGepV9t+rFxhGFoUcJ40N5eCqdjL7
h8gwaiBODmycfgfze6+SZaWG0Rbtx9Fret+Bqm4h9+aeYZQSe89JN/kdJJnI
2mo5DKMlP4rUY+l3cM5LcMvL/GH0vL0g8oByGQilfy6KMh9BEddk/cUc3sLO
VWRGjgkVnY6L5/vOIcHP5j0Xs45TUYDxkxT/XhJQojJZ6TZU5Gt8x3ZNFQns
+e9yn56mIovnacoB0SSIXLaeSfClIje3QT6V7SSgzU4s30qhoqG+s2Z2lGIY
09PblfCVilZT5oLVdxMha2zjZjsGFekNuzqQmwrBJzMqxYZDRf0iai7hKYWg
67YgafWTiiSUby1fuVgIH78ObzFfwvvonqsqhQuBd+CV/GHRUbT2xWSjqGMB
uHWiPbt1RhGDLF7XOJMPW8mXjAWiR1HL5QcbDpjkgpjk4qJPHK6/voiUpXNh
bWA0qT9xFFk1vjpyjPsSltReShNf4HrtzHb+xy/hS/bwD5s3mEmTBXG0HEiO
tU7LGB5F/QtPMj7FZoOw8/5fB7XH0NJ0aZDe7wxYWd5IfKk7huSeOerl9WTA
H7GTHiIGY6hfsPOTPjED2B2+H8bMxhDtbc9DrksGtBoWZMe4jaGusyO95Kh0
uKu81epzLOYywZZp1RfAs8j3ym9sDBHcRzZdrUoBt/GB6dsTY0hU9AJv980U
qGknHYpjjyGea3PSoXopQEh37c2bG0MZoxL8NZQnsHykcnlo9TjScXUqHW9K
hr8Prtof0xxHJqI1jDf0JFjaQV2xJWIc9S8vxrW7PITTIu8slWLGUbT5SCRj
10Mgz8el7osfRy3jvw7Z/kyAW20H1axTcH3/Su1N0Qnw2/eJUxRxHLlpKf5J
9XkAi1WWr6d6xxFBtM1tn+l9+GVd7dq4g4a6ZNQu+gRGQdhAyddDKjQ0f39T
t/nmKBB2zzpdrk5D0aZk7kR5JOz0vetUeJCGrDqe6bv8jYCT8db2D61piGTh
M2iYGA6kVvpxlxAachtd8VNjmAB6Nv3tfWE01EJRN5SIJUDzQKu5VTQNqecy
HGp1CDDMKDE1eoTn5c2MVqjehrWCwcZKr2iIx8v5RXjpLbhgJKw/20tDckIv
G4TWB8FMKw/Z5wsNJURxhALCrwPBZlqXMYLzh+r7+fwKhBT3fp1BJg0R/Dqt
N9KuQdPtLK1aHjqqGZj/odblD/LkfapxqnTk5v7uaDrjChQbKRWu3EtHou0K
p/8u+8CBNmllwn46kpvr0UiU8gGrLzyK/oZ0lGCdr+3qeBns7f476MjQxJ5f
OOACDGqdkd4RQUdTez/1vxvzgHML2iKRMXREyvU476nhAVPVa1fQ43G/T5ji
4XB34D9WycxJpSOr5HH2Q3U32OO4qXJ7Cc7nlDRz+6wzlG9lF0W8xfstXJZ1
tZzAcKwuk1ZBRxnBecNX1ziCwyXfmJwGnH9zppf7B3sghLSd2v4F90etcCtK
t4HVhlkWESOYTwpnE3Os4fHKGwY0Gp73b/A2Y5IVFDzYqZjznY6ofudRVtlx
0Dr5R5p/Fvsci/KUWXOgSPSKeC7ifbztT6mHzaAn884vBYFvyIBn1iyC7xi4
njvFCl+N2VhGeirQGBjKaiPjIt8QQU3B6cO8ESy9GWrKlsJ+mxJrafthiAp6
U7lCDrMF71NIQ7Be/17x2R3fEM+c+c0CYX3Y2bQ/WUEd9/u89tQ00AHSPeF7
4dqYkz+UTPPuA90T9JBxXVzfI5G+dUQTGjaSrxoZYJ/t8rruswac6E/0yjbG
/n2Q+ORnNfjy/ILjCnPsNTncmP2q4OlucPysFfbbAjtiOxQhiMnRUnDGLCxD
MsqWB76SBsVwt//8mYXIOlmI83+2ZdwL9wO3/VKxFEjo+IkaXcLcf+ff8NXi
kLVkwp/ti7mmW17y83pQrZWd5wvE/SRBvynFtVAWOcfyuIlZjXt+MFIADMw+
jNQRMPvbDUvHLlPahHN65KMwa2XpmHTPUux7gpvDYjGPpR3nUFgU6hPrqrEE
zDLr7BIHhykXTyuWGCb/H39MaGqlzMgtZ2U9w8yv54u68imh9E/JfJmYDaJ1
9Z9pUlYVEO955GJmnIvbnEOiJPmEh9YVYt75R0B+cydFRtPJT/41ZgXvhBGJ
UUr+L/VzYWWYCV7qF0S5lL1kQaexKswJImujHH5RyITh44a1mNVrVb5W88Ax
49LDWU34/jkeRzdVrYSPq+5r87Vj7vKylsxZB6c7PJQ8ujFvoLq2kzfAt8QD
W+v6cD9vjK68zGbwdRBdLz+EPfEfn/Nz0uCRr/Z0xyjmZUNbf385sFuwVFD6
huuLdmtSZBXAxMyHqMrC/vEGnwM8O0H3WZy2+tQ3VPPI3Wv1JiXYzSZSNGfx
82Ub1Gjvqgpy+u3H9i9iDtWPOjKkBgIjq50O8U8gA65XvWWVJsyrKY8fXjWB
eMw7pQrfawOTYHrZWHgCEei6iS9/7ocu+ehQC4kJVLOU+rc+SQ+enhPIdlLF
/c8pRew4I7j/bruqq8YEclMQkiDyGMNtoSOl7vvwvC9k8po7R8GzIKzZ22AC
yRFpHz8VmIIad5kVeHICiZr221OtrUAeyV4LdsTzsiIu2htag1jCob8hrnjf
95ju5gM2sKgRIhrpjecLx658o38SGq4taj26hfN5N9w1e3oKypokKcl3sL+b
eFa33hFebT5w7GnUBKJW7kq1nXaC+IrrjpkJOM/jmlnJCy7g+GcmpCRnAmUk
e6h32bmDhaWY4JtXEyghL9vaUNADDqVrJpQV47xPt750J3vA9sN+WdXleN95
ibS3Gp7Ajfje1NaO51lwvVeanofRT8JWnd3/+f7behLe0Ltzz8DHPuzV5tgH
WN5Q0XKZNUDF+yjxLinPL0LEWqYIYwbf79khtSO7fUAyiXaKfysDuclvVa7k
9wedcFnxAHkGEn3vl9Sb7A/2fk4947sY+H1/UWGqEgCJVl3H6/cyEFUYNlo6
X4O168iGYSYMNJX3zkOg/zr8jXykyhPAQCRFi7KAoyGw5VrH5JUbDEToqZW/
shwCBz1X5Y2EMpB64/6b3MpQCDK8vQ1iGGjeqZtYv4UAP/5eFA9Nx3kiFx9X
FNwB2nVDnqVWBlJkfsm+KBAJfOdDqi91MRAj/nhubWAkyNmXBw9+YqAMIcF4
/8lIcNHaM1tJZSADPesi7sco6JuSZN6Yw/mMuFeulkXD+ws/en5tm0RWsiJi
GrX3odg5I286aBIRV/nney4kgtZnhcWVoZOIUUR9rXzkEVTZ5FlIhU8inXVv
q7MePIIW0+IfBnGTiKdJMY6omATj+8kH4zMn0alyYbfDZx+DhFh/p2LrJGr5
+sDK7PcTSHvgLK/Xiffd3CWRY50CO9aMBJzoxf7M+yrIT4G9fN8kA4cnEWHP
iwkDx1Q4PjV9tv7nJJrfdiUzpv4phLWLzLtIM5GVp+xrLcoLEDJ5ZHZVjomm
kqSyNbelwYN68RcRO5goSDFJSDAyDZ5XbjUsVGOiLo1AQ/UT6fAuX+X+vBET
6eTYuvcH4u+piGNyjy4zUblJo5KFchY46N82aalmotPZZz5sY76EodlvInV1
TPw9qaW0QikXPIotP1c1M5H3Vweyu3cuXJaVOVfSjf0zy++pjFwI460OT6Yz
UQQjmCb8PQ+KGxcpnutYSLQ3Lb1PrAC0Qj2iXDewEJVQ9m3OuQAq9rUeP7UZ
e2rEvuzsAmjISx0y38ZCvqYmq3O0CmEgRmdxrzYL5ctIcM66EIHfMlCb14WF
+L2UpXpai+HeyuGlRXfM/kJsbekSEAHjhplzLHQqVrl63+USkFLfZMvwZaF2
m3Ula4RIoLbhrW9nBAtZjrQYk0tI4NT3o/AFkYXuK6yxnRH+F167/iOvu8RC
hjc3qCyuLwWP0qmtGbxs1FGUtthtWgpiawMkVwqyEcnDl3d7WCkEVgSLflzP
RhHiAkUHZ0pBVyz674VdbMSu67jgMlwGde+zvqTasJHZn2Dr523l4C+3s2/Z
gY3uN4xLlK+pgO3XX3V7ubBRy+fbcZ4WFfh/h9Si4c1GPIeSlq51VoD57eqy
9yFslHzxoVDBUCX0avUnLuSz0dEbTAGmWDVExjrHnylmI4vqjoFx12rYNzYc
0/iGjew3b1h3/1U1pDygEx5S2Eg8ZcF4yoACLsyfPkq9bLQ6IMHpWBDAt/R1
5o7LmCuv7X4lUAvzq41WVNhxEGXpp8wVVj1s4Aon1TlxEJEh/DtKqgFUur9s
bz/DQepukvNiZg3g+sTv6MgFDkrYNeTwtKAB6hWyYgRCOUhn9/p1oVcbIV6P
V9Qml4NOa5kdvSjRDPmyHzKcCzmIHXBr+cOJZqjlS9XwInFQq6fK0fd3m2Gm
Rd02qJKDTjZ5NSQsNIOTnVtyWgcHmZTa2ZXQWmCHD2xhzXFQWqvKwPvBVjhk
HVs085uDxIXLcvhk2uCUlsOhvzxcxFZfMBdwb4N7i9wz69dwkWKKjFzQZBtM
Rclk75flotbZZp97/B+AnB6iFHGMi1LMvf7cP98JfWGmlXEWXBQ2eGb0Xnkn
JJX1BHIsuf//f/s/ZW695Q==
          "]]}, "Charting`Private`Tag#1"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV0Hk41GsbB/CppHBkIlGppIW8kqV5y5apVIMSKqEaQxSJkTahLOEkKseW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          "]], 
         Line[CompressedData["
1:eJwVjns41WcAxw8RLY/LKNcZRZ3QXCeq6aCVS4xiQh13K0UuI5fiNCuq5RYi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          "]], 
         Line[CompressedData["
1:eJwVz3s402scAPCVSBIdSaoVytKViuZar1wit2wtToithMqjrU65tDJymQop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          "]], 
         Line[CompressedData["
1:eJwVknk41fkXx2UrRih79l3LhCINjSOVJZLsS4isU8lSQlmyJEvJVlJxLRNF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          "]]}, "Charting`Private`Tag#2"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwVkmk81ekfhk2lxIw1a8eElqGkbI0lOhOpw0SpqKMkmTpakGwhWxspa6JS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          "]], 
         Line[CompressedData["
1:eJwV1Hk8lF8XAPCxFBWS0kYakS1E2VsuZcs6lKVCSpShkoiExpolGiokWZLs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          "]], 
         Line[CompressedData["
1:eJwVz3s41GkbB/Ah2VI57JIoh5xSbE3l1CS3qHhVQlaYtJN02tAUSV0GaRQK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          "]]}, "Charting`Private`Tag#3"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw12nc4V+//B/B3oiQhkZSEFCErW9waSsoMWdlURkmiJN4hK8kOyc5KyMiI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          "]]}, "Charting`Private`Tag#4"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.528488, 0.470624, 0.701351], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw12Hk8VN/7AHAqWRIiSyXZsiVUFC2OLUtFtCAUKrSoJqkoaZJEloSEZAk1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          "]]}, "Charting`Private`Tag#5"], {}}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {317, 
         Rational[2853, 10]}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.528488, 0.470624, 0.701351], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[9, 10], 0.9],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     BoxData[
      FormBox[
       TemplateBox[{
         TagBox[
          InterpretationBox[
           StyleBox["\"0.000\"", ShowStringCharacters -> False], 0., 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"0.333\"", ShowStringCharacters -> False], 
           0.3333333333333333, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"0.667\"", ShowStringCharacters -> False], 
           0.6666666666666666, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.000\"", ShowStringCharacters -> False], 1., 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.333\"", ShowStringCharacters -> False], 
           1.3333333333333333`, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ]}, "LineLegend", 
        DisplayFunction -> (FormBox[
          PanelBox[
           StyleBox[
            StyleBox[
             PaneBox[
              TagBox[
               GridBox[{{
                  StyleBox[
                   SubscriptBox["V", "0"], {
                   FontFamily -> "BitstreamCharter", FontSize -> 12, 
                    GrayLevel[0]}, StripOnInput -> False]}, {
                  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, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #2}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #3}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.922526, 0.385626, 0.209179]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #4}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.528488, 0.470624, 0.701351]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.528488, 0.470624, 0.701351]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> 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"]}}, 
                    GridBoxAlignment -> {
                    "Columns" -> {{Left}}, "Rows" -> {{Top}}}, AutoDelete -> 
                    False, GridBoxItemSize -> {
                    "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
                    GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}],
                    "Grid"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}}, 
                AutoDelete -> False, 
                GridBoxItemSize -> {
                 "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
                GridBoxSpacings -> {
                 "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], 
               "Grid"], Alignment -> Left, AppearanceElements -> None, 
              ImageSizeAction -> "ResizeToFit"], LineIndent -> 0, 
             StripOnInput -> False], {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, StripOnInput -> False], Background -> Automatic, 
           ContentPadding -> True, FrameMargins -> {{5, 5}, {5, 5}}], 
          TraditionalForm]& ), 
        InterpretationFunction :> (RowBox[{"LineLegend", "[", 
           RowBox[{
             RowBox[{"{", 
               RowBox[{
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.528488, 0.470624, 0.701351]|>, 
                  "RGBColorSwatchTemplate"]}], "}"}], ",", 
             RowBox[{"{", 
               RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5}], "}"}], ",", 
             RowBox[{"LegendLayout", "\[Rule]", 
               RowBox[{"{", 
                 RowBox[{"\"Column\"", ",", "1"}], "}"}]}], ",", 
             RowBox[{"LabelStyle", "\[Rule]", 
               RowBox[{"{", 
                 RowBox[{
                   RowBox[{"FontFamily", "\[Rule]", "\"BitstreamCharter\""}], 
                   ",", 
                   RowBox[{"FontSize", "\[Rule]", "12"}], ",", 
                   
                   TemplateBox[<|"color" -> GrayLevel[0]|>, 
                    "GrayLevelColorSwatchTemplate"]}], "}"}]}], ",", 
             RowBox[{"LegendFunction", "\[Rule]", "Panel"}], ",", 
             RowBox[{"LegendLabel", "\[Rule]", 
               SubscriptBox["V", "0"]}]}], "]"}]& ), Editable -> True], 
       TraditionalForm]], 
     Scaled[{0.2, 0.32}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*StyleBox[\\\"f\\\",FontSlant->\\\"Italic\\\"]\\)(\\!\\(\\*\
StyleBox[\\\"q\\\",FontSlant->\\\"Italic\\\"]\\)) = \\!\\(\\*StyleBox[\\\"q\\\
\",FontSlant->\\\"Italic\\\"]\\)\"", FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.85, 0.91}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       RowBox[{
         SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
         TagBox[
          TagBox["m", HoldForm], HoldForm], ")"}], HoldForm], 
      TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->317,
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.025, 1.025}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, 
   3.93364665199582*^9, 3.933646682523655*^9, {3.933647827016654*^9, 
   3.933647867664772*^9}, {3.933648131295436*^9, 3.9336481736311274`*^9}, {
   3.9336482388073874`*^9, 3.933648280664535*^9}, 3.9336483174169083`*^9, {
   3.933648511488976*^9, 3.933648513963965*^9}, {3.933648666423731*^9, 
   3.93364868051263*^9}, 3.933648724316554*^9, 3.933649364304496*^9, 
   3.933649407517312*^9, 3.93364945127024*^9, 3.933669606189589*^9, {
   3.933763814158901*^9, 3.933763845794353*^9}, 3.9337639997438087`*^9, 
   3.9338438381602077`*^9, 3.933845140162109*^9},
 CellLabel->
  "Out[352]=",ExpressionUUID->"92c1128c-8ae6-43fd-b1e6-03e770bd251a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"es", "=", 
   RowBox[{"{", 
    RowBox[{"0", ",", 
     RowBox[{"2", 
      RowBox[{
       SqrtBox[
        RowBox[{
         FractionBox["1", "2"], "+", 
         FractionBox["1", 
          SqrtBox["2"]]}]], "/", "3"}]}], ",", 
     SqrtBox[
      RowBox[{
       FractionBox["1", "2"], "+", 
       FractionBox["1", 
        SqrtBox["2"]]}]], ",", "1.25`", ",", "1.3250000000000002`", ",", 
     "1.375", ",", 
     SqrtBox[
      RowBox[{"1", "+", 
       FractionBox[
        RowBox[{"2", " ", 
         SqrtBox["2"]}], "3"]}]], ",", "1.42", ",", 
     "1.44042348655380148084529792564829760627`20.", ",", "1.46"}], "}"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{"actionPlot3", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{"Function", "[", 
       RowBox[{"V0", ",", 
        RowBox[{
         RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
          RowBox[{
           RowBox[{"Function", "[", 
            RowBox[{"q", ",", 
             RowBox[{
              FractionBox["1", "2"], 
              SuperscriptBox["q", "3"]}]}], "]"}], ",", 
           RowBox[{"1", "/", "2"}], ",", "V0"}], "]"}], "[", "m", "]"}]}], 
       "]"}], "/@", "es"}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "0.2"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
         RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
          "]"}], ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.025"}], ",", "1.025"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Inset", "[", 
        RowBox[{
         RowBox[{"LineLegend", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"ColorData", "[", "97", "]"}], "/@", 
            RowBox[{"Range", "[", "10", "]"}]}], ",", 
           RowBox[{
            RowBox[{
             RowBox[{"NumberForm", "[", 
              RowBox[{"#", ",", 
               RowBox[{"{", 
                RowBox[{"\[Infinity]", ",", "3"}], "}"}]}], "]"}], "&"}], "/@", 
            RowBox[{"N", "[", "es", "]"}]}], ",", 
           RowBox[{"LegendLabel", "->", 
            SubscriptBox["V", "0"]}], ",", 
           RowBox[{"LegendLayout", "->", 
            RowBox[{"{", 
             RowBox[{"\"\<Column\>\"", ",", "2"}], "}"}]}], ",", 
           RowBox[{"LabelStyle", "->", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
              RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
           
           RowBox[{"LegendFunction", "->", "Panel"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.32", ",", "0.32"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*StyleBox[\"f\",FontSlant->\"Italic\"]\)(\!\(\*StyleBox[\"\
q\",FontSlant->\"Italic\"]\)) = \!\(\*FractionBox[\(1\), \
\(2\)]\)\!\(\*SuperscriptBox[\(q\), \(3\)]\)\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.83", ",", "0.91"}], "}"}], "]"}]}], "]"}]}], "}"}]}], 
    ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "2"}], "+", "22"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"9", "/", "10"}]}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]}], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.9336461743178053`*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646602999803*^9, 3.9336466466255617`*^9}, {3.933646690107684*^9, 
   3.933646711556972*^9}, {3.93364676605577*^9, 3.933647014724067*^9}, {
   3.933647062692625*^9, 3.933647138894362*^9}, {3.933647178120099*^9, 
   3.933647306140483*^9}, {3.933647339818625*^9, 3.933647510173642*^9}, {
   3.933647559848242*^9, 3.933647582000506*^9}, {3.9336476128912487`*^9, 
   3.933647711941526*^9}, {3.933647743447586*^9, 3.933647773424045*^9}, {
   3.933647899542254*^9, 3.933647936359383*^9}, {3.933647983300367*^9, 
   3.933647983585068*^9}, {3.933648018475498*^9, 3.933648031528317*^9}, {
   3.9336480793754*^9, 3.933648080028768*^9}, {3.933648252284761*^9, 
   3.933648267151773*^9}, {3.933648319150139*^9, 3.933648320390818*^9}, {
   3.9336484875429683`*^9, 3.933648498030773*^9}, {3.933648545744813*^9, 
   3.933648612698841*^9}, {3.933648645493061*^9, 3.933648652396896*^9}, {
   3.933648715481228*^9, 3.933648715577067*^9}, {3.933649367834863*^9, 
   3.9336493690019407`*^9}, {3.933649400492437*^9, 3.933649400539138*^9}, {
   3.9336494473909883`*^9, 3.933649447500427*^9}, {3.93366961091483*^9, 
   3.933669611694421*^9}, {3.9337640168566008`*^9, 3.933764023559519*^9}},
 CellLabel->"In[18]:=",ExpressionUUID->"987acbda-9443-4a50-9527-bdd438ec8a24"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJw9lmk4VW0Xx6XUESIhZIhKylAI4egWMpeSjNGJSCHz+JiHKBkikqHHE0Ui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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ], 
       TagBox[
        {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwVkHlQU1cUxkMFBFSaFMtgUylLiAErApYWqPLYS2VTQFDLvoawRGgLIswQ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          "]], LineBox[CompressedData["
1:eJwVj3s81GkbxqexCmkrpxSrRiE5JYMc6pFDY00OibZovETC6jVkieSs3Vq9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          "]]},
        Annotation[#, "Charting`Private`Tag#2"]& ], 
       TagBox[
        {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwV0mlQ02cQB+AAolw6QBGpQDiKWKnQRCuCHG+AUlrAIyFohko4igiIQEGx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          "]]},
        Annotation[#, "Charting`Private`Tag#3"]& ], 
       TagBox[
        {RGBColor[0.922526, 0.385626, 0.209179], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwB4QEe/iFib1JlAgAAAB0AAAACAAAAqzZuSGX54D+As8gYQOVsP0LTe1dy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          "]]},
        Annotation[#, "Charting`Private`Tag#4"]& ], 
       TagBox[
        {RGBColor[0.528488, 0.470624, 0.701351], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAAzaEgN5m52T9AwdtHSQKLP/4LF2/6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          "]]},
        Annotation[#, "Charting`Private`Tag#5"]& ], 
       TagBox[
        {RGBColor[0.772079, 0.431554, 0.102387], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAA+jJBe/jmzD9ADTuKw8eaP2Dn1cI4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          "]]},
        Annotation[#, "Charting`Private`Tag#6"]& ], 
       TagBox[
        {RGBColor[0.363898, 0.618501, 0.782349], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwV1nk41N0XAPDJXoqkIpShjUJTUX6RM6VNypIWFE3JGi8iY62RJWtkJ2a+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          "]]},
        Annotation[#, "Charting`Private`Tag#7"]& ], 
       TagBox[
        {RGBColor[1, 0.75, 0], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJwV1Xk0Vtv/B/ATiQipboMKXRQZQsRN9TmlSKY00ETmyuVHknk4ZXx4nuc8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          "]]},
        Annotation[#, "Charting`Private`Tag#8"]& ], 
       TagBox[
        {RGBColor[0.647624, 0.37816, 0.614037], AbsoluteThickness[2], Opacity[
         1.], LineBox[CompressedData["
1:eJwV1Xk0VV0YB+AT+YgyhkIhkTljKeXcSIN5SCGVeerKEK6xrjlCIlMJV8Yo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          "]]},
        Annotation[#, "Charting`Private`Tag#9"]& ], 
       TagBox[
        {RGBColor[0.571589, 0.586483, 0.], AbsoluteThickness[2], Opacity[1.], 
         LineBox[CompressedData["
1:eJwV13k8VdsXAPCTIaLy5KVC3BKRoXhEpfZtngdSGUpXyVD8DCkiOmh4RO/c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          "]]},
        Annotation[#, "Charting`Private`Tag#10"]& ], {}}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJw9lmk4VW0Xx6XUESIhZIhKylAI4egWMpeSjNGJSCHz+JiHKBkikqHHE0Ui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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVkHlQU1cUxkMFBFSaFMtgUylLiAErApYWqPLYS2VTQFDLvoawRGgLIswQ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              "]], 
             Line[CompressedData["
1:eJwVj3s81GkbxqexCmkrpxSrRiE5JYMc6pFDY00OibZovETC6jVkieSs3Vq9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              "]]}, "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV0mlQ02cQB+AAolw6QBGpQDiKWKnQRCuCHG+AUlrAIyFohko4igiIQEGx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              "]]}, "Charting`Private`Tag#3"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwB4QEe/iFib1JlAgAAAB0AAAACAAAAqzZuSGX54D+As8gYQOVsP0LTe1dy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              "]]}, "Charting`Private`Tag#4"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.528488, 0.470624, 0.701351], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAAzaEgN5m52T9AwdtHSQKLP/4LF2/6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              "]]}, "Charting`Private`Tag#5"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.772079, 0.431554, 0.102387], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAA+jJBe/jmzD9ADTuKw8eaP2Dn1cI4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              "]]}, "Charting`Private`Tag#6"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.363898, 0.618501, 0.782349], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV1nk41N0XAPDJXoqkIpShjUJTUX6RM6VNypIWFE3JGi8iY62RJWtkJ2a+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              "]]}, "Charting`Private`Tag#7"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[1, 0.75, 0], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV1Xk0Vtv/B/ATiQipboMKXRQZQsRN9TmlSKY00ETmyuVHknk4ZXx4nuc8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              "]]}, "Charting`Private`Tag#8"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.647624, 0.37816, 0.614037], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV1Xk0VV0YB+AT+YgyhkIhkTljKeXcSIN5SCGVeerKEK6xrjlCIlMJV8Yo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              "]]}, "Charting`Private`Tag#9"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.571589, 0.586483, 0.], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV13k8VdsXAPCTIaLy5KVC3BKRoXhEpfZtngdSGUpXyVD8DCkiOmh4RO/c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              "]]}, "Charting`Private`Tag#10"], {}}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {317, 
             Rational[2853, 10]}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.571589, 0.586483, 0.], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.647624, 0.37816, 0.614037], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[1, 0.75, 0], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.363898, 0.618501, 0.782349], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.772079, 0.431554, 0.102387], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.528488, 0.470624, 0.701351], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.922526, 0.385626, 0.209179], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {317, 
            Rational[2853, 10]}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.571589, 0.586483, 0.], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.647624, 0.37816, 0.614037], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[1, 0.75, 0], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.363898, 0.618501, 0.782349], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.772079, 0.431554, 0.102387], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.528488, 0.470624, 0.701351], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.922526, 0.385626, 0.209179], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.560181, 0.691569, 0.194885], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.880722, 0.611041, 0.142051], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJw9lmk4VW0Xx6XUESIhZIhKylAI4egWMpeSjNGJSCHz+JiHKBkikqHHE0Ui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          "]]}, "Charting`Private`Tag#1"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwVkHlQU1cUxkMFBFSaFMtgUylLiAErApYWqPLYS2VTQFDLvoawRGgLIswQ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          "]], 
         Line[CompressedData["
1:eJwVj3s81GkbxqexCmkrpxSrRiE5JYMc6pFDY00OibZovETC6jVkieSs3Vq9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          "]]}, "Charting`Private`Tag#2"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV0mlQ02cQB+AAolw6QBGpQDiKWKnQRCuCHG+AUlrAIyFohko4igiIQEGx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          "]]}, "Charting`Private`Tag#3"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwB4QEe/iFib1JlAgAAAB0AAAACAAAAqzZuSGX54D+As8gYQOVsP0LTe1dy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          "]]}, "Charting`Private`Tag#4"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.528488, 0.470624, 0.701351], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAAzaEgN5m52T9AwdtHSQKLP/4LF2/6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          "]]}, "Charting`Private`Tag#5"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.772079, 0.431554, 0.102387], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwBsQFO/iFib1JlAgAAABoAAAACAAAA+jJBe/jmzD9ADTuKw8eaP2Dn1cI4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          "]]}, "Charting`Private`Tag#6"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.363898, 0.618501, 0.782349], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV1nk41N0XAPDJXoqkIpShjUJTUX6RM6VNypIWFE3JGi8iY62RJWtkJ2a+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          "]]}, "Charting`Private`Tag#7"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[1, 0.75, 0], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV1Xk0Vtv/B/ATiQipboMKXRQZQsRN9TmlSKY00ETmyuVHknk4ZXx4nuc8
EUUyZSrJGJLskyFChjKFilK6TShkCL/9/eOsvV7rvddZ6+z9+XzOJju3I458
BEFM4Od/6y51PseEhOeIkLFP+7+1y6GHxVoZxcEeUJ15xZWGy++XV/tdwV5+
cv5m0BZ4ECstfeYCttC9Zd7u20F6ctdrqX+wr3d32ljtBb7H3iYZPQ2IsAtv
eK17GBr2f9fKX4N9/p5x/qQ1HDvRs6Qu7hki/LLlR3xcQdNxw83F5jWIeH9B
vml3AOwcM7Zv3V+DKKuAuT//BgAZGKiaqIPz3Q7vxRMDwDjube02GexPD9/1
TASAQ13q2KmRakTpTfNN5QbCdXl5o0IOttLsI9cVwfDro8q8VeNTRIxXeW0e
oqDICRzK9BhEbUkb2usSAptUjAORNraS4rctwSHA+3Uivl6JQUzMAfeFayHg
Rnk0dK9kECnv+OtqWQic1DQ6OVqPEDmpsrR/USiY3lrz5aIQQsTBA3R3bCjo
XCgQucx6gshg1bI/98Ng9eTz3WEXnyBm9V20qioMJq5+cIs7iXO7nS5SrWFQ
lLS646Eitu+R0iVjYaDSFpA0+bwSMQ1zqkqa4fC3tqGKjzD2SouS2rJwEBF4
b+ofXYEY18s/9pZEwNpF3jKhFysQabVHqb82AuTmRH6yLSsQsaf2vmNnBOyZ
0IpLlsU2dg7Rn4wAj4+svqePHyFGgc4A7UjoqVM/L/StHDHKnm+Wl0ZCVviV
K3HGZYjcISutk82C4qurjyZrlCHGQMH7yUMWMEG5ctlryxB1OHqXRi0Ler06
68uHShGpqLDqywALRM8pivUHlCJKOnlN7Loo8DRoT/w77yEi3HZ5NEVEwT6h
TSX5oiWIiKwyeGMZDeOzbGnPiWJEnldVDrKPhqyRqSidN8WIkJVjlrtFw9Lu
Ntun93HO+zUtHB4NbZmU+CsjnHsrNR8tjgZrvQHnSVYRojYJpGqLsME/KGXT
7iWFiNm9z9ekgA3KHiKcRT8KEMGwuuUr2PDW0XuqrrMAUUcXz4/UsGGfiVmr
aWYBIr0cs052s0F4w0KAzX68X8ne5+ocG9QuPSkQFMhHFPdsxVYDDlz4T1cq
bi4XUZKnDvW2cmBrvrCm+HPsDEGrhB4OfPF8bci6nouIrAOdBoMccCa8Lwcq
5SKm02na4yf2mqJmx5P3EHMzUY5vFRecDyj473iYgyg1qczFx7iwVeQ3r4DK
QcyhUKeK01z40laXtdU4BxFNOTfP2uP9Z+xfSn3Ixq439/HAvpSsKCiRjRgH
I8UPNBf+TVvV0+2SiRgtvankei4on/vw3VwnE1Hq7cuNW7jwTbmIv5k/E5Fr
h+987uCCS7nZNiYxA1Ea33RHB7Fbo8JzGu4gUq1n3z+z2HOElq9cOqKaw2SL
t9KgXNN66NdIGmL+OiN/Qo2Gb5HJNq6P0xBlKnXvmxYNLqt2sW2PYMea7hki
aXBV8v5gSKUiQvV8sqgFDX1FvbJa5bcRY6KZZhhIQ5bEqaqV5rcRsW1zevsV
GtzdX5/4+V8SogZM6gzDaVii2sPJX5+ESFR2SZimQeNu52/F4EREVs/6vUih
YU7weIzQ2kRExObe6LpDQ4NTh/JwQQIibW1ft2bTYC33yjbj/U1E6qm+iMmn
ISqlrUlK/wYiiG3Bp6poOD5v5jT3Nh6RTdPNQ09pkLFqJfq94xGlabDvbB0N
pZItWgl34xB5ms6Qa6bhfVxTykrR64jYEWM21kND3vihnT8zYxFxSGfwTx8N
PkcbO9r2YE+xkqbe0iAm8Xwp1z0GkQ1K15ghGnayn10S6uAhJniRb8wIDQJf
D4gNu/AQ9SrTWvonDW2GdTl1AthCTW5J4zQ0i0U+FnDjIuLdhb/OTdNg1xw+
Wp3KQaSU4b2SWRqmWGHy1Es2nqee//6co0FWIISe0YpGMttK/5FexIPy6iu1
ZeeikIzAIavNfDwwpahpzwQWYkTP3pDn54HfbKD9yJ8INJBtY7ZMgAcvx3y0
h2pCUerQ5zY/IR6cz/d2SZsIQalNhff2LeXBvItXmvWWECSDYm7xCfNg6+dL
Iq+jriCyrq/aWYQHTKYHGV9JIabQdnrFMh7kPnv/Jas/GMlY6xoUY/M9eVN1
604AkvGSUuwX5YGqTp/CakF/xASSTxzEeHCquCeG5+yLUgOHz3/EDlft+iPc
4o1kZKSUrcV5UHj3lVOYuhcaOPdjSSt2v1x728J1T2RTYDutvZwHQqktO/2m
PFDqfYo/AVtzfXPG+OmLyOb8Ufmf2Ixy7Ma3QW6IMBi01pPgQekaV2X9QBdE
XFTli8TO5TPQfeB/ATHJWrV12KnfZQ6t9nNC1P7ZjD/Y8T0zJ4J87NGAZUiG
8goesGs6zn3yskEyZu3Vx7H5ray+J305hQY2fV7wxv6hISHiOnwM/x8aT8di
l0hEmfs1mCDisW9XNnbUkzG2ZPVeRE78dnuIHZrpuOnrj80odeyAQiX237mz
o7FbFYFQdlh4jP1zTzez2HwfEOlHJkqw18e6hTlYmoJN+3Lh/70v/Re//HvV
4zBQfnt3DHbZxsOCKzROA9Pzm/bC/iTbMp6aaAOp6hsXHcMe1Rn/qJNkD+QB
kWtbsWdMJLvbbjtB6moEM/h7F9uTDedTLgCpqCVagy3u4/SISHMB4uqF6VBs
SQ773s10NyCzLBeT2CvMX5usPXIRqKQZlXF83hucFvYUHPUEmZSDbwyw09xj
tAM6LoPN7mG7YXx/m/3l1Q4e9waqfZMgha3OM9o0YOEHVLRxbhK+/9LEt+vu
d/tD6iHlXBnsXZkXV/icCARqe8Tz27h+ZN80LRJSoUBmb6RtCK4vJ7u/5l2/
YwtK9n3F9ZgzbD3zKu8KUDvnPUywVX+O/UxRDYGBUnpuFtezu7fuiMBICKTe
lRs9iF38J/Trv/mhQFj1ETSufx3BtUPaauFADHkHLBHE/cK2Hbg9Gg4DF/YO
ay/hwROJ3H7+wgiwWTXuZof7Z9+GPZ2t6iywedbVm477y1jd4dm57WwgW8MV
0xdo4JbmVb/4hZ21ujce92u77u+q7SUcoCqd6gJxP1voR5UtaNJANOca/f2b
hgKVEx1G668BNWG64tl3Go6MBrwM8r8GjLbrdeOvNPwqSmsr7LsGBMyY1X2m
YYfO1+Y1STHALM304Hyg4fG+oLoPG64DI/vRxgfPq4yDDw9ohl0H0pt1yLyT
Brbpt7rQ7zg/mLOw7iUNZ06deiZfFQfkut1Nfk00zF/cUX/u7A0gi5rf+T6h
4ZO3q0F5/Q1gWiw3tj+ioSUwo15I7SZQukvl1pbSkMJa0XCXSAByPDH68gMa
yLQfDV/TEoGsPVzhmkyDQra84S7hW0C+/aGtl0iDRN6Z52wP7HjBAKF4PF/L
G5+r6CUBIfGPhR2HhpC2rEa3odtALZAHj/rT8CF42yff2FQgI3lNisdo6OEz
2pxenwqM95ers6Z4XoY5OTXOpgLhbDtTaUhDSfTtT5IOaUBovtsiDjSE3hAZ
fqyZDpTYGfdRBRo25w8Pz3XeAeb8qHHWNBfOv03578rabCC6qxP6uFxY4SE6
qWGYDeSl2tvSkVyoFPDnG/LNxvdReuH4FS5IqFis1+/DuZmbZfwlLlT4LzMR
Ts4BxnjK39WSC6LrfAtiZO8B+cXO030DF4qOHvG+o5oHBHLaX3eLA2eGUcix
s3m4/p1198ZyQNBfhSfAywMmze3zgyicpwvdPTeG86dTtmd9OSAwVtWrVPIA
qMJdT1dZcEC5/i/p3g0FQGxqSW5bxoEgh6tX7dILgTkesyLSjQ3UI8KVrCgE
KvBRlKsjG0LEgi2lXhYCGbRT48BpNkSW+yv3LioCMvvisiZ9NsQsu9xlblsE
lELca7WNbMgsObd1r0wxkMZpGg710dC82OSldHIJMKGSXAeJaGg52VQ597AE
n+evIK5ANLQ/MMzue1EC5OOb4femo6DrhH7AjbkSIHbMdpUPRsHAfdgsbvUQ
GOdSB9XCKBg/puE3v74UmNiaywEmUbA+c83fbxLKgBxUN0r2Z8FolKRrdXEZ
ELYlWoMuLKh131ie/aIMqK6LySutWeCyS9bUY1E5EKLPP+qTLKh8peoneKEc
KNc2xWF+Fljz6b9U13kExHIDD9HISEg/63k1vKsCyF7rdZ9DIkBBsv39tpVV
QOlrKUcZhoGl0FzsSSVsw/zST9phED6pcCBErwoIQ7F4zc1h8PElld11qQrI
whDTDL4wSI9WcwnsqAKm+HDIq4pQ2DBHTzTGIaBmHAbdFEJByH3L4u1sBtd/
k/2Nqavw58in1S1i1cBkx44cd6EgIKYq5dN67PjWRvXjFMy1xyssKGCft+P/
s5uC+cMGO9X0qoE8MR16WpwCwizHKsa7GihPdUWOXTAsNnLOsBjADhF3jf8Q
CMv0fqi/K6wBQuAma1GTH2zcPmk8eqwOiGurxI+resKwz28RFN0AxMEIg0ZF
C1jZuI4nGd0EhIisSdQhB+St1SJn19QClN7G9BzPQCTdZQ7rv7QBMVmwerAv
EqUkh3nOcl8CpXG0YYQTg8bXafxQV+4AGf7CoBe7E9CMpFvjg7xOaPNqECPF
UtEGxYkHaWbdQD17Exshl4FGKkUmezt7YPTew7gI8xx0g//WFedjveDOcSwT
r7uPTlte+sv9Vx+46+u9kucvRG1q/SKVXm8g53aJuE9eMbJdwxUOknwHPC2L
GqK9FNmf6N9sdHoADqdbd3QoVaAfw498/dYPQupn3bE83hMkOP+4bejrIJRL
mAW9qGfQlMWSkx4P3kP5AbMdNS3V6NhSDr+S6wdo6JcRd5ysRXv26RRJ7RqC
0ZJ/PhpdrUdElVKM1twQLK5nGwZLNqLDjJ5XRMtHqLwRbnhn2wsUO+rxivT8
BPc3nHLQfdeK/h+ISmDO
          "]]}, "Charting`Private`Tag#8"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.647624, 0.37816, 0.614037], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV1Xk0VV0YB+AT+YgyhkIhkTljKeXcSIN5SCGVeerKEK6xrjlCIlMJV8Yo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          "]]}, "Charting`Private`Tag#9"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.571589, 0.586483, 0.], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV13k8VdsXAPCTIaLy5KVC3BKRoXhEpfZtngdSGUpXyVD8DCkiOmh4RO/c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          "]]}, "Charting`Private`Tag#10"], {}}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.025, 1.025}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {317, 
         Rational[2853, 10]}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[9, 10], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.571589, 0.586483, 0.], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.647624, 0.37816, 0.614037], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[1, 0.75, 0], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.363898, 0.618501, 0.782349], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.772079, 0.431554, 0.102387], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.528488, 0.470624, 0.701351], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.922526, 0.385626, 0.209179], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[9, 10], 0.9],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     BoxData[
      FormBox[
       TemplateBox[{
         TagBox[
          InterpretationBox[
           StyleBox["\"0.000\"", ShowStringCharacters -> False], 0., 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"0.732\"", ShowStringCharacters -> False], 
           0.7324560756452067, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.099\"", ShowStringCharacters -> False], 
           1.09868411346781, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.250\"", ShowStringCharacters -> False], 1.25, 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.325\"", ShowStringCharacters -> False], 
           1.3250000000000002`, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.375\"", ShowStringCharacters -> False], 1.375, 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.394\"", ShowStringCharacters -> False], 
           1.3938468501173518`, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.420\"", ShowStringCharacters -> False], 1.42, 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.440\"", ShowStringCharacters -> False], 
           1.4404234865538015`, AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ], 
         TagBox[
          InterpretationBox[
           StyleBox["\"1.460\"", ShowStringCharacters -> False], 1.46, 
           AutoDelete -> True], NumberForm[#, {
            DirectedInfinity[1], 3}]& ]}, "LineLegend", 
        DisplayFunction -> (FormBox[
          PanelBox[
           StyleBox[
            StyleBox[
             PaneBox[
              TagBox[
               GridBox[{{
                  StyleBox[
                   SubscriptBox["V", "0"], {
                   FontFamily -> "BitstreamCharter", FontSize -> 12, 
                    GrayLevel[0]}, StripOnInput -> False]}, {
                  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, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #2}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.560181, 0.691569, 0.194885]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #3}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.922526, 0.385626, 0.209179]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #4}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.528488, 0.470624, 0.701351]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.528488, 0.470624, 0.701351]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> 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], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.772079, 0.431554, 0.102387]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.772079, 0.431554, 0.102387]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #6}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.363898, 0.618501, 0.782349]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.363898, 0.618501, 0.782349]], {}}}, 
                    AspectRatio -> Full, ImageSize -> {20, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #7}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[1, 0.75, 0]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[1, 0.75, 0]], {}}}, AspectRatio -> Full, 
                    ImageSize -> {20, 12.5}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #8}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.647624, 0.37816, 0.614037]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.647624, 0.37816, 0.614037]], {}}}, AspectRatio -> 
                    Full, ImageSize -> {20, 12.5}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #9}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.571589, 0.586483, 0.]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.571589, 0.586483, 0.]], {}}}, AspectRatio -> 
                    Full, ImageSize -> {20, 12.5}, PlotRangePadding -> None, 
                    ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> 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"]}}, GridBoxAlignment -> {"Columns" -> {{Center}}}, 
                AutoDelete -> False, 
                GridBoxItemSize -> {
                 "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
                GridBoxSpacings -> {
                 "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], 
               "Grid"], Alignment -> Left, AppearanceElements -> None, 
              ImageSizeAction -> "ResizeToFit"], LineIndent -> 0, 
             StripOnInput -> False], {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, StripOnInput -> False], Background -> Automatic, 
           ContentPadding -> True, FrameMargins -> {{5, 5}, {5, 5}}], 
          TraditionalForm]& ), 
        InterpretationFunction :> (RowBox[{"LineLegend", "[", 
           RowBox[{
             RowBox[{"{", 
               RowBox[{
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.922526, 0.385626, 0.209179]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.528488, 0.470624, 0.701351]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.772079, 0.431554, 0.102387]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.363898, 0.618501, 0.782349]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|"color" -> RGBColor[1, 0.75, 0]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.647624, 0.37816, 0.614037]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|"color" -> RGBColor[0.571589, 0.586483, 0.]|>, 
                  "RGBColorSwatchTemplate"]}], "}"}], ",", 
             RowBox[{"{", 
               
               RowBox[{#, ",", #2, ",", #3, ",", #4, ",", #5, ",", #6, 
                 ",", #7, ",", #8, ",", #9, ",", #10}], "}"}], ",", 
             RowBox[{"LegendLabel", "\[Rule]", 
               SubscriptBox["V", "0"]}], ",", 
             RowBox[{"LegendLayout", "\[Rule]", 
               RowBox[{"{", 
                 RowBox[{"\"Column\"", ",", "2"}], "}"}]}], ",", 
             RowBox[{"LabelStyle", "\[Rule]", 
               RowBox[{"{", 
                 RowBox[{
                   RowBox[{"FontFamily", "\[Rule]", "\"BitstreamCharter\""}], 
                   ",", 
                   RowBox[{"FontSize", "\[Rule]", "12"}], ",", 
                   
                   TemplateBox[<|"color" -> GrayLevel[0]|>, 
                    "GrayLevelColorSwatchTemplate"]}], "}"}]}], ",", 
             RowBox[{"LegendFunction", "\[Rule]", "Panel"}]}], "]"}]& ), 
        Editable -> True], TraditionalForm]], 
     Scaled[{0.32, 0.32}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*StyleBox[\\\"f\\\",FontSlant->\\\"Italic\\\"]\\)(\\!\\(\\*\
StyleBox[\\\"q\\\",FontSlant->\\\"Italic\\\"]\\)) = \\!\\(\\*FractionBox[\\(1\
\\), \\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(q\\), \\(3\\)]\\)\"", FontFamily -> 
       "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.83, 0.91}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
        RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
          TagBox[
           TagBox["m", HoldForm], HoldForm], ")"}], FontOpacity -> 0, 
        StripOnInput -> False], HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->317,
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.025, 1.025}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, {
   3.933646640275092*^9, 3.93364664771089*^9}, {3.933646684632864*^9, 
   3.933646691408554*^9}, {3.933646778141636*^9, 3.9336468764592543`*^9}, {
   3.933646909529991*^9, 3.933646979026126*^9}, 3.93364706404455*^9, {
   3.933647096039643*^9, 3.9336471406539507`*^9}, {3.933647180698885*^9, 
   3.933647196427528*^9}, {3.9336472801834803`*^9, 3.933647307718174*^9}, {
   3.933647373975957*^9, 3.933647512348444*^9}, {3.933647566924131*^9, 
   3.93364758435288*^9}, {3.93364762051097*^9, 3.9336477138113403`*^9}, {
   3.933647749148934*^9, 3.933647775281829*^9}, {3.933647911435404*^9, 
   3.933647938202267*^9}, 3.933647985180957*^9, {3.933648023739794*^9, 
   3.933648033020596*^9}, 3.933648081574199*^9, {3.93364825429282*^9, 
   3.933648268798283*^9}, 3.933648322137349*^9, {3.933648494737792*^9, 
   3.933648499779223*^9}, {3.933648609096498*^9, 3.933648614499567*^9}, {
   3.933648647064361*^9, 3.933648654341125*^9}, 3.93364871732869*^9, 
   3.933649370443953*^9, 3.933649402158951*^9, 3.933649452874392*^9, 
   3.933669613274262*^9, 3.9337640250881147`*^9},
 CellLabel->"Out[19]=",ExpressionUUID->"34c26d83-2227-445e-bd36-24d72298b64f"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"SetDirectory", "[", 
   RowBox[{"NotebookDirectory", "[", "]"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/action_1.pdf\>\"", ",", "actionPlot1"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/action_3.pdf\>\"", ",", "actionPlot3"}], "]"}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.933648344039223*^9, 3.933648353137401*^9}, {
  3.9337640740719557`*^9, 3.9337640872245827`*^9}},
 CellLabel->"In[21]:=",ExpressionUUID->"718f433c-5ec4-4bac-860a-5bace6d1b65e"]
}, Closed]],

Cell[CellGroupData[{

Cell["Action in different regimes", "Subsection",
 CellChangeTimes->{{3.933764625873777*^9, 
  3.933764629705915*^9}},ExpressionUUID->"5df07bd5-2097-4030-81f4-\
b69a40cb15f6"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"es", "=", "0.5"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"regimePlot1", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
      RowBox[{"f3", ",", "es", ",", 
       RowBox[{"1", "/", "2"}]}], "]"}], "[", "m", "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "0.2"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{
        SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
        "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"{", 
        RowBox[{"Dashed", ",", 
         RowBox[{"Line", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMin", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{"-", "0.175"}]}], "}"}], ",", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMin", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{
               RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
                RowBox[{"f3", ",", 
                 RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "[", 
               RowBox[{"mMin", "[", 
                RowBox[{"f3", ",", 
                 RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "]"}]}], 
             "}"}]}], "}"}], "]"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Dashed", ",", 
         RowBox[{"Line", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"ms", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{"-", "0.135"}]}], "}"}], ",", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"ms", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", "0"}], 
             "}"}]}], "}"}], "]"}]}], "}"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           SubscriptBox["m", "min"], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "]"}], ",", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"0.025", "+", 
            RowBox[{"mMin", "[", 
             RowBox[{"f3", ",", 
              RowBox[{"1", "/", "2"}], ",", "es"}], "]"}]}], ",", 
           RowBox[{"-", "0.185"}]}], "}"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           SuperscriptBox["m", "*"], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "]"}], ",", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"0.015", "+", 
            RowBox[{"ms", "[", 
             RowBox[{"f3", ",", 
              RowBox[{"1", "/", "2"}], ",", "es"}], "]"}]}], ",", 
           RowBox[{"-", "0.145"}]}], "}"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           RowBox[{
            SubscriptBox["V", "0"], "==", "0.5"}], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.92", ",", "0.97"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{"\"\<Connected\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", "Bold"}], 
          "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.07", ",", "0.02"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"0", ",", "0"}], "}"}], "]"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "4"}], "+", "30"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"12", "/", "10"}]}]}], "]"}]}]}], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.933646174317805*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646602999803*^9, 3.9336466466255617`*^9}, {3.933646690107684*^9, 
   3.933646711556972*^9}, {3.93364676605577*^9, 3.933647014724067*^9}, {
   3.933647062692625*^9, 3.933647138894362*^9}, {3.933647178120099*^9, 
   3.933647306140483*^9}, {3.933647339818625*^9, 3.933647510173642*^9}, {
   3.933647559848242*^9, 3.933647582000506*^9}, {3.9336476128912487`*^9, 
   3.933647711941526*^9}, {3.933647743447586*^9, 3.933647773424045*^9}, {
   3.933647899542254*^9, 3.933647936359383*^9}, {3.933647983300367*^9, 
   3.933647983585068*^9}, {3.933648018475498*^9, 3.933648031528317*^9}, {
   3.9336480793754*^9, 3.933648080028768*^9}, {3.933648252284761*^9, 
   3.933648267151773*^9}, {3.933648319150139*^9, 3.933648320390818*^9}, {
   3.933648487542968*^9, 3.933648498030773*^9}, {3.933648545744813*^9, 
   3.933648612698841*^9}, {3.933648645493061*^9, 3.933648652396896*^9}, {
   3.933648715481228*^9, 3.933648715577067*^9}, {3.933649367834863*^9, 
   3.9336493690019407`*^9}, {3.933649400492437*^9, 3.933649400539138*^9}, {
   3.9336494473909883`*^9, 3.933649447500427*^9}, {3.93366961091483*^9, 
   3.933669611694421*^9}, {3.933755379963694*^9, 3.9337554027405863`*^9}, {
   3.933755545583269*^9, 3.933755964176759*^9}, {3.9337563268401737`*^9, 
   3.933756362434058*^9}, {3.9337564959479218`*^9, 3.933756532203879*^9}, {
   3.933756566412375*^9, 3.9337566111328783`*^9}, {3.933756687263133*^9, 
   3.933756721407521*^9}, {3.933756763937016*^9, 3.933756810244459*^9}, {
   3.933756860729997*^9, 3.933756867655254*^9}, {3.933756925990169*^9, 
   3.933756926066029*^9}, {3.933757058624312*^9, 3.933757080108613*^9}, {
   3.933757112247943*^9, 3.9337571359750757`*^9}, {3.933757169021214*^9, 
   3.933757170607595*^9}, {3.933764649300089*^9, 3.9337646803822536`*^9}, {
   3.933764751702959*^9, 3.933764809079422*^9}, {3.933764876944807*^9, 
   3.933764922569051*^9}, {3.9337651104695463`*^9, 3.933765133965091*^9}, {
   3.933784001803548*^9, 3.933784008929055*^9}, {3.93378406339537*^9, 
   3.933784064315176*^9}, {3.9337840950056543`*^9, 3.933784142342572*^9}, {
   3.933784296166341*^9, 3.933784298933405*^9}, {3.9337844106187143`*^9, 
   3.933784429085985*^9}, {3.933784466147958*^9, 3.933784466547345*^9}, {
   3.9337845591925*^9, 3.933784559391575*^9}, {3.933784672620721*^9, 
   3.9337846733082037`*^9}},
 CellLabel->
  "In[119]:=",ExpressionUUID->"5506e17b-9ca1-45dd-9a22-41bf59df28ce"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwVkHk0lHsYx8W9clxFUSiJZGuRCqHRbypRjT1pIcuUvbKclgmHuWNLZGts
N8ludC1jn0GeodJ0KYTi3pIryvsO03JTsnV//fGe3/mc5/s+3+/30aQHOXlL
SkhI0PH3813sc2/+73cCaejXqvrdaQeha61PQAyBzstYJF7RbQeW4lWbungC
OX8cbpcqEACla++uhRsEGupZM+6lJ4CvLAmVQ8kEMhQrGxWHAnDNHy3eTCMQ
R+uvPruiNgj4nPD2BZtA1ODBdrnR+zDipVjtd5tAAnVvUceVVshWHWLX5BEo
da29D+1ZCzj15YbNFRDosO70A8G2Fuik6lglcQj0kapoNTDPh+qNZq+rGwjE
sCn5FDHYBM+EcUEEj0AVWcKU5JNNIA4ZWKbVSqAk+5DKDW8aweBhkE5mB84/
rnKSmGmAKr/SoIgeArW6OGwuP1QPz1Z9Wdb4nECee8KZ02/qQNy8n/1hkEC5
z9K2MCPqYPuK1zz6KwJtizTeaNBaCxU1ipJHCAK5rVDrOXWsBrpPe7FZUwTi
mcSLqxa5MCVVrdP6gUA2hon59eVc2OpylLbjK4EufVl4mi3NhXtzTPYaKRJR
L3eQHcWVwDko1hlTI9FQf/yfLY7lIJzay1+vQaLRfetPDfVxYDIjgXZci0S8
zZm3VZ05oDu5OVioTyIJD53Ql+5lUJrkyq8yIRHn5XzffGIJdBqX0ybNSBQ8
fC74y/oSeDfy9bWmBeamBX1+ZTFo70yXzDiI/WVGw1kviqB4UEgLdyBRjIMC
X5dSCA8j147UH8P+oXG1acMFMK57LljsQiK9hu6JOEYBaIX9YHudIZHDlFXF
t+Z8KFQ3GbEOIJHG0ulvUYV5UOBbFKwUg/to1fDEETnQvbMxZW08iRSqBF29
09kwOy+sUrmB82p10bo8s8EuVTyllkoiLmXsntgmC+Z4Zv7auSQyDE9zolhk
gHa0zXXduyT6SOq83d7GBgdbjzL9QhJNcqwvSu9nQ9m/MRPbOVj/yq7ExeYW
OMv2epnUkyh/pj5gjJEGUQNjTNMmEpn+5p13TSYN7uXN3DVvJpGKWXNCT04q
SOxeP7JPgO9x0NeeFp0Cla4+p627SZQ6WxW1nJYE0pULTifH8T24Y7Z7L8fB
zqvyoaffk+h6e9mvDGEsuO3flOZG4r4hnav46rFQN2jd4/kR52N6Z+wYiAbP
pXSa/wKJsk2X3h2h/w6JwpKAwB+479mGYamnTGhM5yVckBSh1HP+gWxzJsjp
jjwOkREhB83sgSOUSODb61uGKYlQ70zvxi9yYTCuSjkboYx5+afW+yuvgcK4
HStynQgpzJIWk2sY4MO4JGBpiJAGh1liYXQFVhcAJXEb5nD5gl+4oWAR+Nz1
5g4RCg40TBb/EwJ+xhNhKbtEiErnZ3yXCwF4Isu/ZSpCTK2quoqFi3D+83Hj
XEsRGnV8OvDC3B9q7a5R31iLkGfRFdumTl/4di+XtomG9xffoOq7+wDr7Fsv
jiOe78kyia0+C49B+oLIWYQkan2XHP3pIKe2hWFwEs9X5nVeNvCCrIHg5Hp3
EcqXEL1SbjgDrwzZOd+8MA9Lzj5mucKmm03F5t6YjeQftfqcgopDS82CQPz/
28C61SHH4XOBZqdUEOY8/z8ss47BniXLPqtQ7Hd7kefW7wgdjYnvuxmYU/hu
vaq2IKNY/Vk+QoQEnnM1dKWjYBv0fNEpCve9XNGiYm4N6V0zMpkszOsibbtu
WMKQrqrScCzeHw/eztIHYEMMZaNaAr6X7xNH9VMI6KMeWzySsL7nRHP1nDlw
KNHGhSmYZXu7lT+ZwHR2KXUiHfu9/DtakbIbds08oell4jyrWbIPG3cAw3Ha
JTAH6+XYRgl39OF+pQK9Khfv769zWNy6GSRljS58uov1rsZlLg/U4bDPCYZR
EdZTrXItI9bCzY6w6KuleG7GixqUkofn6nnJzeWYW9+Vi0ulQCW8PWexAvM7
ijZLMNPm/nK8mMrFrCImN/HH2op2y3Cj6zC79N9Z9V3QtkqPcaDwJ3OOZGyx
hLb/AZeVQcE=
          "]], LineBox[CompressedData["
1:eJwVk3s01GkYx6fL7KqmiFGalEsqYbrfhH3IJdWkjU1T0kUuhSRhcWgJ1VZS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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ], {}}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVkHk0lHsYx8W9clxFUSiJZGuRCqHRbypRjT1pIcuUvbKclgmHuWNLZGts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              "]], 
             Line[CompressedData["
1:eJwVk3s01GkYx6fL7KqmiFGalEsqYbrfhH3IJdWkjU1T0kUuhSRhcWgJ1VZS
LnFmsKEydUZJ00TSM+WaBuOSZksokczv96O0Epn21x/vec/nfJ/n+36f55zX
yOuYq89EBoPhRZ+fN1eqZfmhVAWMPKaYm179+IRzSBOvnObGmGFdn97HJdfS
25NlNNuzXHxCRx6rGaUfmitUEPtidveYHxPtPds/69bQ+lDa2NNLWni29Mc4
v47Wz2pNfFc8Gxt0F0zJqqc5WaUkWYaoE+LE7lSowPbQg7fCdybIbzhiYNxK
6/9Fh23cY4Y5ZklmPi9pP2rFyjbL5dh9umiN6JUKZAtyh90yVqFpd4ut6g1d
f8POI95xHQbB161L39JcLe52cbBCiZCz6/h7uj4gR5aXCvjtq42X5IMKDgQG
+krnbMSEooSIDZQKugJ2JM9cuQnrWKL4mE90v7hXFDm6GTWPPL8o+0L3x3Cq
GCoeCoy0rzuNqcBw8Y5Ai7wd2BWzpuhvNZ0/sED/srsbLnzFL5NPIMDwRIZ0
fP5OLEr5p8lVg2ame4BKxceqSVz1Pl0CrmrqabLKDuCsON0r/noEXArQzrdp
Ooi+6nFu+FwCitI4seaDXqjxrcEzyYiA2ONt5eDsgzwquLyMS4DC7yIz8KA/
Zgfs3lmznOYmjuBqeQBSfXZk8yoCDtg/T8oyPorJ3drz+i1pNvALipwUjM1K
SbSeE/3esmeCQv0TuMA9m22ymYAumzSKSZ3A0JZE8TIenXe6SF9eEYq6De7t
Tq4E/H6jJ1oUHY78ihGrsH20n5UwvXlBFHYUWo81hRNw+AE14ZVJHC4zX5j6
JpIAfnSWw5G7cRgrmm7+MZrWxT15tran0Ci/Yw8jnvaDpG313vHonRn7cGny
zzzXK848S8T+U5WR5wsI6OtXxpMTz6MVo3Bmxi0CanMzw8sk5/FCTPrNvEKa
pTpnicMXkBvh+2/pPQKUaL0uVpmEwUc1LPvw5/7iZH/4X8LhXbwRByVdnyAK
js9NRXF1ubXdawIGv3xKfT8tDQ+tWRZn00Hv7zgnPebPNFRoa09d+56ePzck
aK9rOt6qfzl38SABegVvI4ZmZaCn/SGYokFC0dfNM563C5Bd3BrPnEaCbeuK
T24eQqwzdKqdMIOEkgStKIvXQlyrNt0xqkOCobB7V0tHFmqVUl4qAxIGGcaN
S4ZzsHJp1On6dSTExo3s3X4vF6OyVXXPNpBwoKrh5F/jubiC5alZbUNC7cPB
Ll/nPMz5CJmP7UmwlpQp9nflYcQ15q0720lY7pbvyJlzDc05l+sv+5HAnizm
yW7fwBSmiO2eQYKW0nfTnlAxev1i5pgqIMF7tfJgWJcYV/0qDlNk0349iyqy
txViq0ZR25ZrJDgolpQYmN/G2aySTLhLz6O7jW8xdAeztGv1lzwnQbBo5EVb
+108qrNlm28DCf2n3r/unVuMv7HlMflNJOS4r+pL8SjGTl1FxzwlCZ97s1yr
2ovReI7yqnYPCS7fPRplvfewwKDP5LuaBFbKa34mR4oRhv47LSdScC4xQ7Ha
W4rORkRiOJOCC2YPZ567LcV+48HewWkUmChmHvVzfIAWi0ZEPXoUcDyNvc2j
S7DYQoPbuJKCyrsXZg1oluEjS9M1eb4U8Cv8HmmEyDDT49jngiMU/V/3KhNy
ZRgaI71TGEjBLzePfYlqkqHFEwez0hAKNr67P7995RPMcj5ooDhJgT+v0eT6
2BOM3iWYor5CAeUy5qFZUIH8yLfVkwQUtPs58HU6K3C10DRhSjYF60eFscWz
K5HokKrZ+RTUbWi9KD9XiXt9W4bM71DQNtA/tSyiCm3CWB27ayiQbsgPmhde
g5wMN+H+Ogpc1m29t7S0BodLBHyfegqa7S5ZTh+vwdvfTVuCWyhwVlsP2p2p
xfkJjrVnOilgnQm2Ytx4huqUk8X3v1Lg/oPXPaIlx1eSqmNloxSwcbvx5ENy
lLaxuE/GKZgqkVlxpXIM4ggL5JMGoFUiEQ7tr8eO3AdZ3ZoD0D/Kc5jztAE3
JrPXy/UGQKy/x9uqsxH/B43AQ74=
              "]]}, "Charting`Private`Tag#1"], {}}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[355, 2], 213}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[355, 2], 213}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwVkHk0lHsYx8W9clxFUSiJZGuRCqHRbypRjT1pIcuUvbKclgmHuWNLZGts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          "]], 
         Line[CompressedData["
1:eJwVk3s01GkYx6fL7KqmiFGalEsqYbrfhH3IJdWkjU1T0kUuhSRhcWgJ1VZS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          "]]}, "Charting`Private`Tag#1"], {}}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[355, 2], 213}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[6, 5], 1.2],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     FormBox[
      StyleBox[
       RowBox[{
         SubscriptBox["V", "0"], "\[LongEqual]", "0.5`"}], FontFamily -> 
       "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.92, 0.97}], 
     ImageScaled[{1, 1}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"Connected\"", FontFamily -> "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], Bold, StripOnInput -> False], TraditionalForm], 
     Scaled[{0.07, 0.02}], 
     ImageScaled[{0, 0}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       RowBox[{
         SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
         TagBox[
          TagBox["m", HoldForm], HoldForm], ")"}], HoldForm], 
      TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[355, 2], 177.5],
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.05, 1.05}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}], {
     Dashing[{Small, Small}], 
     LineBox[{{0.7971122210086327, -0.175}, {
      0.7971122210086327, -0.13763126069230425`}}]}, {
     Dashing[{Small, Small}], 
     LineBox[{{0.8660254037844386, -0.135}, {0.8660254037844386, 0}}]}, 
    InsetBox[
     FormBox[
      StyleBox[
       SubscriptBox[
        TagBox["m", HoldForm], "min"], FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], StripOnInput -> False], TraditionalForm], {
     0.8221122210086327, -0.185}], 
    InsetBox[
     FormBox[
      StyleBox[
       SuperscriptBox[
        TagBox["m", HoldForm], "*"], FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], StripOnInput -> False], TraditionalForm], {
     0.8810254037844386, -0.145}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, {
   3.933646640275092*^9, 3.93364664771089*^9}, {3.933646684632864*^9, 
   3.933646691408554*^9}, {3.933646778141636*^9, 3.9336468764592543`*^9}, {
   3.933646909529991*^9, 3.933646979026126*^9}, 3.93364706404455*^9, {
   3.933647096039643*^9, 3.9336471406539507`*^9}, {3.933647180698885*^9, 
   3.933647196427528*^9}, {3.9336472801834803`*^9, 3.933647307718174*^9}, {
   3.933647373975957*^9, 3.933647512348444*^9}, {3.933647566924131*^9, 
   3.93364758435288*^9}, {3.93364762051097*^9, 3.9336477138113403`*^9}, {
   3.933647749148934*^9, 3.933647775281829*^9}, {3.933647911435404*^9, 
   3.933647938202267*^9}, 3.933647985180957*^9, {3.933648023739794*^9, 
   3.933648033020596*^9}, 3.933648081574199*^9, {3.93364825429282*^9, 
   3.933648268798283*^9}, 3.933648322137349*^9, {3.933648494737792*^9, 
   3.933648499779223*^9}, {3.933648609096498*^9, 3.933648614499567*^9}, {
   3.933648647064361*^9, 3.933648654341125*^9}, 3.93364871732869*^9, 
   3.933649370443953*^9, 3.933649402158951*^9, 3.933649452874392*^9, 
   3.933669613274262*^9, {3.93375538232437*^9, 3.933755403412998*^9}, {
   3.933755568430127*^9, 3.933755690339591*^9}, {3.933755734863893*^9, 
   3.933755780862669*^9}, {3.93375581707277*^9, 3.9337558259253407`*^9}, {
   3.9337558763372498`*^9, 3.933755964950672*^9}, 3.933756327310238*^9, 
   3.933756363068263*^9, {3.933756496744506*^9, 3.9337565325768843`*^9}, {
   3.933756604070569*^9, 3.933756611541506*^9}, {3.9337566944519043`*^9, 
   3.933756721863462*^9}, {3.933756765800946*^9, 3.93375681086748*^9}, 
   3.933756868327688*^9, 3.9337569267440023`*^9, {3.933757065886176*^9, 
   3.93375708081126*^9}, {3.9337571129734077`*^9, 3.933757136363266*^9}, 
   3.933757171061575*^9, {3.933764912919511*^9, 3.933764923073673*^9}, 
   3.933765135446073*^9, 3.933784003695829*^9, {3.93378409651264*^9, 
   3.933784142748611*^9}, 3.933784299557036*^9, {3.933784411901557*^9, 
   3.93378442948652*^9}, 3.933784466996705*^9, 3.933784559943639*^9, 
   3.933784673696732*^9},
 CellLabel->
  "Out[120]=",ExpressionUUID->"7d1ebcf7-6b77-4c82-ace9-15e6e11488d3"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"es", "=", "1.37"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"regimePlot2", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
      RowBox[{"f3", ",", 
       RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "[", "m", "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "0.2"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
         RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
          "]"}], ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"{", 
        RowBox[{"Dashed", ",", 
         RowBox[{"Line", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMin", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{"-", "0.175"}]}], "}"}], ",", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMin", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{
               RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
                RowBox[{"f3", ",", 
                 RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "[", 
               RowBox[{"mMin", "[", 
                RowBox[{"f3", ",", 
                 RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "]"}]}], 
             "}"}]}], "}"}], "]"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Dashed", ",", 
         RowBox[{"Line", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMax", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{"-", "0.135"}]}], "}"}], ",", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMax", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", "0"}], 
             "}"}]}], "}"}], "]"}]}], "}"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           SubscriptBox["m", "min"], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "]"}], ",", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"0.07", "+", 
            RowBox[{"mMin", "[", 
             RowBox[{"f3", ",", 
              RowBox[{"1", "/", "2"}], ",", "es"}], "]"}]}], ",", 
           RowBox[{"-", "0.185"}]}], "}"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           SubscriptBox["m", "max"], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "]"}], ",", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"0.07", "+", 
            RowBox[{"mMax", "[", 
             RowBox[{"f3", ",", 
              RowBox[{"1", "/", "2"}], ",", "es"}], "]"}]}], ",", 
           RowBox[{"-", "0.145"}]}], "}"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           RowBox[{
            SubscriptBox["V", "0"], "==", "1.37"}], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.92", ",", "0.97"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{"\"\<Onset\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", "Bold"}], 
          "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.07", ",", "0.02"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"0", ",", "0"}], "}"}], "]"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "4"}], "+", "30"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"12", "/", "10"}]}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]}], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.933646174317805*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646602999803*^9, 3.9336466466255617`*^9}, {3.933646690107684*^9, 
   3.933646711556972*^9}, {3.93364676605577*^9, 3.933647014724067*^9}, {
   3.933647062692625*^9, 3.933647138894362*^9}, {3.933647178120099*^9, 
   3.933647306140483*^9}, {3.933647339818625*^9, 3.933647510173642*^9}, {
   3.933647559848242*^9, 3.933647582000506*^9}, {3.9336476128912487`*^9, 
   3.933647711941526*^9}, {3.933647743447586*^9, 3.933647773424045*^9}, {
   3.933647899542254*^9, 3.933647936359383*^9}, {3.933647983300367*^9, 
   3.933647983585068*^9}, {3.933648018475498*^9, 3.933648031528317*^9}, {
   3.9336480793754*^9, 3.933648080028768*^9}, {3.933648252284761*^9, 
   3.933648267151773*^9}, {3.933648319150139*^9, 3.933648320390818*^9}, {
   3.933648487542968*^9, 3.933648498030773*^9}, {3.933648545744813*^9, 
   3.933648612698841*^9}, {3.933648645493061*^9, 3.933648652396896*^9}, {
   3.933648715481228*^9, 3.933648715577067*^9}, {3.933649367834863*^9, 
   3.9336493690019407`*^9}, {3.933649400492437*^9, 3.933649400539138*^9}, {
   3.9336494473909883`*^9, 3.933649447500427*^9}, {3.93366961091483*^9, 
   3.933669611694421*^9}, {3.933755379963694*^9, 3.9337554027405863`*^9}, {
   3.933755545583269*^9, 3.933756223188605*^9}, {3.933756268462912*^9, 
   3.9337562685447807`*^9}, 3.933756332455023*^9, {3.9337565375872717`*^9, 
   3.933756548714973*^9}, {3.933756736435405*^9, 3.9337567427423377`*^9}, {
   3.933756823248868*^9, 3.933756853706526*^9}, {3.933756921350153*^9, 
   3.933756921437504*^9}, {3.933757091398622*^9, 3.933757152664179*^9}, {
   3.933764945090351*^9, 3.933764971027919*^9}, {3.933765057843856*^9, 
   3.933765075837022*^9}, {3.933765146526438*^9, 3.933765199512255*^9}, {
   3.933784156855558*^9, 3.933784160447575*^9}, {3.9337842575110083`*^9, 
   3.933784279612458*^9}, {3.933784443966354*^9, 3.933784470564404*^9}, {
   3.933784594590864*^9, 3.9337846080662737`*^9}, {3.933784669012691*^9, 
   3.9337846690762157`*^9}},
 CellLabel->
  "In[117]:=",ExpressionUUID->"92265c04-e236-4e0e-8f2d-85dfff966601"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAADJb+LiIi0D9Az/cdCx+ZP2143Cjm
J9A/IML+kcMPmT8f1lE/G+rQP+AqEPUS6pY/n56FdPuO0j9AthIfGaeRP/QZ
Mu4xLNQ/QBjWZWiAhz/6Gm/Krq3VPwB21FfmVnY/HCn1rqFP1z8AijoXC4Nd
v++8C/ba1dg/gBSsUvsFg7+XA5uBalTaPyCkijDev5G/W1dzFXDz2z8ggETt
lYqbv9Aw3Au8dt0/UKoY6UPEor9hF44KfhrfP+CcQSE2rqi/Y1jcJktb4D/g
Ofdr1wevv+7nuXl6G+E/uHQGOG+9sr8H/rvQ5OvhPzjbOwi/jLa/+FYGWXKu
4j/wbNsxeW26v1QJjQMrbeM/mJVl35GPvr8+QjiyHjzkP3iubFqXusG/AL4r
kjX95D88+LlatjrEv1DAQ3aHzuU/tAUob+A0x795BaSL/JHmP+j7Dh2qRcq/
DKRAw5xR5z/4ug5iGJbNv+xa4itsyOc/rBxaZDvfz7/miLrX
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAADJb+LiIi0D9Az/cdCx+ZP2143Cjm
J9A/IML+kcMPmT8f1lE/G+rQP+AqEPUS6pY/n56FdPuO0j9AthIfGaeRP/QZ
Mu4xLNQ/QBjWZWiAhz/6Gm/Krq3VPwB21FfmVnY/HCn1rqFP1z8AijoXC4Nd
v++8C/ba1dg/gBSsUvsFg7+XA5uBalTaPyCkijDev5G/W1dzFXDz2z8ggETt
lYqbv9Aw3Au8dt0/UKoY6UPEor9hF44KfhrfP+CcQSE2rqi/Y1jcJktb4D/g
Ofdr1wevv+7nuXl6G+E/uHQGOG+9sr8H/rvQ5OvhPzjbOwi/jLa/+FYGWXKu
4j/wbNsxeW26v1QJjQMrbeM/mJVl35GPvr8+QjiyHjzkP3iubFqXusG/AL4r
kjX95D88+LlatjrEv1DAQ3aHzuU/tAUob+A0x795BaSL/JHmP+j7Dh2qRcq/
DKRAw5xR5z/4ug5iGJbNv+xa4itsyOc/rBxaZDvfz7/miLrX
              "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[355, 2], 213}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[355, 2], 213}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwBgQF+/iFib1JlAgAAABcAAAACAAAADJb+LiIi0D9Az/cdCx+ZP2143Cjm
J9A/IML+kcMPmT8f1lE/G+rQP+AqEPUS6pY/n56FdPuO0j9AthIfGaeRP/QZ
Mu4xLNQ/QBjWZWiAhz/6Gm/Krq3VPwB21FfmVnY/HCn1rqFP1z8AijoXC4Nd
v++8C/ba1dg/gBSsUvsFg7+XA5uBalTaPyCkijDev5G/W1dzFXDz2z8ggETt
lYqbv9Aw3Au8dt0/UKoY6UPEor9hF44KfhrfP+CcQSE2rqi/Y1jcJktb4D/g
Ofdr1wevv+7nuXl6G+E/uHQGOG+9sr8H/rvQ5OvhPzjbOwi/jLa/+FYGWXKu
4j/wbNsxeW26v1QJjQMrbeM/mJVl35GPvr8+QjiyHjzkP3iubFqXusG/AL4r
kjX95D88+LlatjrEv1DAQ3aHzuU/tAUob+A0x795BaSL/JHmP+j7Dh2qRcq/
DKRAw5xR5z/4ug5iGJbNv+xa4itsyOc/rBxaZDvfz7/miLrX
          "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[355, 2], 213}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[6, 5], 1.2],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     FormBox[
      StyleBox[
       RowBox[{
         SubscriptBox["V", "0"], "\[LongEqual]", "1.37`"}], FontFamily -> 
       "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.92, 0.97}], 
     ImageScaled[{1, 1}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"Onset\"", FontFamily -> "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], Bold, StripOnInput -> False], TraditionalForm], 
     Scaled[{0.07, 0.02}], 
     ImageScaled[{0, 0}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
        RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
          TagBox[
           TagBox["m", HoldForm], HoldForm], ")"}], FontOpacity -> 0, 
        StripOnInput -> False], HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[355, 2], 177.5],
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.05, 1.05}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}], {
     Dashing[{Small, Small}], 
     LineBox[
      NCache[{{0.2520678575575901, -0.175}, {0.2520678575575901, 
         Complex[0.02453502823946002, -3.308722450212111*^-24]}}, {{
       0.2520678575575901, -0.175}, {0.2520678575575901, 
       0.02453502823946002}}]]}, {
     Dashing[{Small, Small}], 
     LineBox[{{0.3581495072842138, -0.135}, {0.3581495072842138, 0}}]}, 
    InsetBox[
     FormBox[
      StyleBox[
       SubscriptBox[
        TagBox["m", HoldForm], "min"], FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], StripOnInput -> False], TraditionalForm], {
     0.3220678575575901, -0.185}], 
    InsetBox[
     FormBox[
      StyleBox[
       SubscriptBox[
        TagBox["m", HoldForm], "max"], FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], StripOnInput -> False], TraditionalForm], {
     0.4281495072842138, -0.145}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, {
   3.933646640275092*^9, 3.93364664771089*^9}, {3.933646684632864*^9, 
   3.933646691408554*^9}, {3.933646778141636*^9, 3.9336468764592543`*^9}, {
   3.933646909529991*^9, 3.933646979026126*^9}, 3.93364706404455*^9, {
   3.933647096039643*^9, 3.9336471406539507`*^9}, {3.933647180698885*^9, 
   3.933647196427528*^9}, {3.9336472801834803`*^9, 3.933647307718174*^9}, {
   3.933647373975957*^9, 3.933647512348444*^9}, {3.933647566924131*^9, 
   3.93364758435288*^9}, {3.93364762051097*^9, 3.9336477138113403`*^9}, {
   3.933647749148934*^9, 3.933647775281829*^9}, {3.933647911435404*^9, 
   3.933647938202267*^9}, 3.933647985180957*^9, {3.933648023739794*^9, 
   3.933648033020596*^9}, 3.933648081574199*^9, {3.93364825429282*^9, 
   3.933648268798283*^9}, 3.933648322137349*^9, {3.933648494737792*^9, 
   3.933648499779223*^9}, {3.933648609096498*^9, 3.933648614499567*^9}, {
   3.933648647064361*^9, 3.933648654341125*^9}, 3.93364871732869*^9, 
   3.933649370443953*^9, 3.933649402158951*^9, 3.933649452874392*^9, 
   3.933669613274262*^9, {3.93375538232437*^9, 3.933755403412998*^9}, {
   3.933755568430127*^9, 3.933755690339591*^9}, {3.933755734863893*^9, 
   3.933755780862669*^9}, {3.93375581707277*^9, 3.9337558259253407`*^9}, {
   3.9337558763372498`*^9, 3.933756034313706*^9}, {3.933756067698417*^9, 
   3.933756083944231*^9}, {3.9337561395884333`*^9, 3.9337562236361513`*^9}, 
   3.933756272463578*^9, 3.9337563328793983`*^9, 3.9337563650201883`*^9, {
   3.933756538115137*^9, 3.9337565494292917`*^9}, 3.933756743087479*^9, {
   3.933756829114779*^9, 3.933756854312562*^9}, 3.9337569222320957`*^9, {
   3.93375709298357*^9, 3.9337571530035067`*^9}, 3.933765077370234*^9, 
   3.9337652005245867`*^9, 3.933765275922225*^9, {3.9337841574614973`*^9, 
   3.933784160879216*^9}, {3.933784257984647*^9, 3.933784279966932*^9}, {
   3.933784446973759*^9, 3.933784474108399*^9}, {3.933784595774071*^9, 
   3.933784608397269*^9}, 3.933784669425819*^9},
 CellLabel->
  "Out[118]=",ExpressionUUID->"53c5a35a-9fc8-47da-9a6b-cdad4b2bf857"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"es", "=", "1.4"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"regimePlot3", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
      RowBox[{"f3", ",", 
       RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "[", "m", "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "0.2"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
         RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
          "]"}], ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"{", 
        RowBox[{"Dashed", ",", 
         RowBox[{"Line", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMax", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", 
              RowBox[{"-", "0.135"}]}], "}"}], ",", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"mMax", "[", 
               RowBox[{"f3", ",", 
                RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], ",", "0"}], 
             "}"}]}], "}"}], "]"}]}], "}"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           SubscriptBox["m", "max"], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "]"}], ",", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"0.07", "+", 
            RowBox[{"mMax", "[", 
             RowBox[{"f3", ",", 
              RowBox[{"1", "/", "2"}], ",", "es"}], "]"}]}], ",", 
           RowBox[{"-", "0.145"}]}], "}"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           RowBox[{
            SubscriptBox["V", "0"], "==", "1.4"}], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.92", ",", "0.97"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{"\"\<Shattered\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", "Bold"}], 
          "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.07", ",", "0.02"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"0", ",", "0"}], "}"}], "]"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "4"}], "+", "30"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"12", "/", "10"}]}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]}], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.933646174317805*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646602999803*^9, 3.9336466466255617`*^9}, {3.933646690107684*^9, 
   3.933646711556972*^9}, {3.93364676605577*^9, 3.933647014724067*^9}, {
   3.933647062692625*^9, 3.933647138894362*^9}, {3.933647178120099*^9, 
   3.933647306140483*^9}, {3.933647339818625*^9, 3.933647510173642*^9}, {
   3.933647559848242*^9, 3.933647582000506*^9}, {3.9336476128912487`*^9, 
   3.933647711941526*^9}, {3.933647743447586*^9, 3.933647773424045*^9}, {
   3.933647899542254*^9, 3.933647936359383*^9}, {3.933647983300367*^9, 
   3.933647983585068*^9}, {3.933648018475498*^9, 3.933648031528317*^9}, {
   3.9336480793754*^9, 3.933648080028768*^9}, {3.933648252284761*^9, 
   3.933648267151773*^9}, {3.933648319150139*^9, 3.933648320390818*^9}, {
   3.933648487542968*^9, 3.933648498030773*^9}, {3.933648545744813*^9, 
   3.933648612698841*^9}, {3.933648645493061*^9, 3.933648652396896*^9}, {
   3.933648715481228*^9, 3.933648715577067*^9}, {3.933649367834863*^9, 
   3.9336493690019407`*^9}, {3.933649400492437*^9, 3.933649400539138*^9}, {
   3.9336494473909883`*^9, 3.933649447500427*^9}, {3.93366961091483*^9, 
   3.933669611694421*^9}, {3.933755379963694*^9, 3.9337554027405863`*^9}, {
   3.933755545583269*^9, 3.933756223188605*^9}, {3.933756260310088*^9, 
   3.933756318030509*^9}, {3.933756454442265*^9, 3.933756454584125*^9}, {
   3.9337568866090803`*^9, 3.933756917048727*^9}, {3.933757095695373*^9, 
   3.933757156853411*^9}, {3.933765215998708*^9, 3.933765249256858*^9}, {
   3.93378417626397*^9, 3.9337841805356827`*^9}, {3.933784287950728*^9, 
   3.933784289628522*^9}, {3.933784477380589*^9, 3.933784484027956*^9}, {
   3.933784613469983*^9, 3.9337846136979322`*^9}, {3.933784665371888*^9, 
   3.933784665491724*^9}},
 CellLabel->
  "In[115]:=",ExpressionUUID->"2024fdeb-ff4f-4e26-834d-bece770e0a79"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwV13k4VN8bAPCbJSJJC0XLKIksyVLS8k6pJKkIodRUtoqviOy6kiJLImJm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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV13k4VN8bAPCbJSJJC0XLKIksyVLS8k6pJKkIodRUtoqviOy6kiJLImJm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              "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[355, 2], 213}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[355, 2], 213}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV13k4VN8bAPCbJSJJC0XLKIksyVLS8k6pJKkIodRUtoqviOy6kiJLImJm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          "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[355, 2], 213}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[6, 5], 1.2],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     FormBox[
      StyleBox[
       RowBox[{
         SubscriptBox["V", "0"], "\[LongEqual]", "1.4`"}], FontFamily -> 
       "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.92, 0.97}], 
     ImageScaled[{1, 1}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"Shattered\"", FontFamily -> "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], Bold, StripOnInput -> False], TraditionalForm], 
     Scaled[{0.07, 0.02}], 
     ImageScaled[{0, 0}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
        RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
          TagBox[
           TagBox["m", HoldForm], HoldForm], ")"}], FontOpacity -> 0, 
        StripOnInput -> False], HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[355, 2], 177.5],
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.05, 1.05}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}], {
     Dashing[{Small, Small}], 
     LineBox[{{0.2775857707630437, -0.135}, {0.2775857707630437, 0}}]}, 
    InsetBox[
     FormBox[
      StyleBox[
       SubscriptBox[
        TagBox["m", HoldForm], "max"], FontFamily -> "BitstreamCharter", 
       FontSize -> 12, 
       GrayLevel[0], StripOnInput -> False], TraditionalForm], {
     0.3475857707630437, -0.145}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, {
   3.933646640275092*^9, 3.93364664771089*^9}, {3.933646684632864*^9, 
   3.933646691408554*^9}, {3.933646778141636*^9, 3.9336468764592543`*^9}, {
   3.933646909529991*^9, 3.933646979026126*^9}, 3.93364706404455*^9, {
   3.933647096039643*^9, 3.9336471406539507`*^9}, {3.933647180698885*^9, 
   3.933647196427528*^9}, {3.9336472801834803`*^9, 3.933647307718174*^9}, {
   3.933647373975957*^9, 3.933647512348444*^9}, {3.933647566924131*^9, 
   3.93364758435288*^9}, {3.93364762051097*^9, 3.9336477138113403`*^9}, {
   3.933647749148934*^9, 3.933647775281829*^9}, {3.933647911435404*^9, 
   3.933647938202267*^9}, 3.933647985180957*^9, {3.933648023739794*^9, 
   3.933648033020596*^9}, 3.933648081574199*^9, {3.93364825429282*^9, 
   3.933648268798283*^9}, 3.933648322137349*^9, {3.933648494737792*^9, 
   3.933648499779223*^9}, {3.933648609096498*^9, 3.933648614499567*^9}, {
   3.933648647064361*^9, 3.933648654341125*^9}, 3.93364871732869*^9, 
   3.933649370443953*^9, 3.933649402158951*^9, 3.933649452874392*^9, 
   3.933669613274262*^9, {3.93375538232437*^9, 3.933755403412998*^9}, {
   3.933755568430127*^9, 3.933755690339591*^9}, {3.933755734863893*^9, 
   3.933755780862669*^9}, {3.93375581707277*^9, 3.9337558259253407`*^9}, {
   3.9337558763372498`*^9, 3.933756034313706*^9}, {3.933756067698417*^9, 
   3.933756083944231*^9}, {3.9337561395884333`*^9, 3.9337562236361513`*^9}, 
   3.9337562611948853`*^9, {3.933756308927909*^9, 3.933756318365337*^9}, 
   3.933756365424526*^9, 3.933756455411413*^9, {3.933756891577135*^9, 
   3.933756917774147*^9}, {3.933757096109779*^9, 3.933757157279377*^9}, {
   3.933765252731138*^9, 3.933765276684458*^9}, {3.933784177228798*^9, 
   3.933784180954748*^9}, 3.933784289949884*^9, 3.933784484480413*^9, 
   3.933784614122253*^9, 3.933784665873393*^9},
 CellLabel->
  "Out[116]=",ExpressionUUID->"9103c484-5e87-4c28-90d1-8b05b08fa4f0"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"es", "=", "1.47"}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"regimePlot4", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"\[ScriptCapitalS]\[CapitalOmega]", "[", 
      RowBox[{"f3", ",", 
       RowBox[{"1", "/", "2"}], ",", "es"}], "]"}], "[", "m", "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", 
      RowBox[{"-", "0.2"}], ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"m", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
         RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "[", "m", 
          "]"}], ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "1"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "4"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}]}], "}"}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.05"}], ",", "1.05"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.249"}], ",", "0.049"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
           RowBox[{
            SubscriptBox["V", "0"], "==", "es"}], ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
           RowBox[{"ScriptLevel", "->", "1"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.92", ",", "0.97"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"1", ",", "1"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{"\"\<UNSAT\>\"", ",", 
           RowBox[{"FontFamily", "->", "\"\<BitstreamCharter\>\""}], ",", 
           RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", "Bold"}], 
          "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.07", ",", "0.02"}], "}"}], "]"}], ",", 
         RowBox[{"ImageScaled", "[", 
          RowBox[{"{", 
           RowBox[{"0", ",", "0"}], "}"}], "]"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "4"}], "+", "30"}]}], ",", 
    RowBox[{"AspectRatio", "->", 
     RowBox[{"12", "/", "10"}]}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]}], "Input",
 CellChangeTimes->{{3.932544480266225*^9, 3.93254449866691*^9}, {
   3.932555819437562*^9, 3.932555819644608*^9}, {3.9333043179803686`*^9, 
   3.933304322564477*^9}, {3.933645699314164*^9, 3.9336457591013203`*^9}, {
   3.933645828648848*^9, 3.9336458387953043`*^9}, {3.933646044641896*^9, 
   3.933646067345072*^9}, {3.933646102868105*^9, 3.933646174317805*^9}, {
   3.933646358079125*^9, 3.93364639644765*^9}, 3.933646428296581*^9, {
   3.933646602999803*^9, 3.9336466466255617`*^9}, {3.933646690107684*^9, 
   3.933646711556972*^9}, {3.93364676605577*^9, 3.933647014724067*^9}, {
   3.933647062692625*^9, 3.933647138894362*^9}, {3.933647178120099*^9, 
   3.933647306140483*^9}, {3.933647339818625*^9, 3.933647510173642*^9}, {
   3.933647559848242*^9, 3.933647582000506*^9}, {3.9336476128912487`*^9, 
   3.933647711941526*^9}, {3.933647743447586*^9, 3.933647773424045*^9}, {
   3.933647899542254*^9, 3.933647936359383*^9}, {3.933647983300367*^9, 
   3.933647983585068*^9}, {3.933648018475498*^9, 3.933648031528317*^9}, {
   3.9336480793754*^9, 3.933648080028768*^9}, {3.933648252284761*^9, 
   3.933648267151773*^9}, {3.933648319150139*^9, 3.933648320390818*^9}, {
   3.933648487542968*^9, 3.933648498030773*^9}, {3.933648545744813*^9, 
   3.933648612698841*^9}, {3.933648645493061*^9, 3.933648652396896*^9}, {
   3.933648715481228*^9, 3.933648715577067*^9}, {3.933649367834863*^9, 
   3.9336493690019407`*^9}, {3.933649400492437*^9, 3.933649400539138*^9}, {
   3.9336494473909883`*^9, 3.933649447500427*^9}, {3.93366961091483*^9, 
   3.933669611694421*^9}, {3.933755379963694*^9, 3.9337554027405863`*^9}, {
   3.933755545583269*^9, 3.933756223188605*^9}, {3.933756260310088*^9, 
   3.933756318030509*^9}, {3.933756454442265*^9, 3.933756454584125*^9}, {
   3.9337568866090803`*^9, 3.933756917048727*^9}, {3.933757095695373*^9, 
   3.933757156853411*^9}, {3.933765215998708*^9, 3.933765249256858*^9}, {
   3.93378417626397*^9, 3.933784229521571*^9}, {3.9337843072589903`*^9, 
   3.933784313101503*^9}, {3.9337844944861517`*^9, 3.9337845029005136`*^9}, {
   3.9337846602517767`*^9, 3.9337846611710587`*^9}},
 CellLabel->
  "In[113]:=",ExpressionUUID->"b3fc4f55-4c0b-4c22-9d55-e6dad1b1d50e"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwV1nlYTO0bB/AjUm+JFtLKWCJtRAjxjDWppGxJGNrorbekPXGo0EbadGam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          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwV1nlYTO0bB/AjUm+JFtLKWCJtRAjxjDWppGxJGNrorbekPXGo0EbadGam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              "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[355, 2], 213}, "Axes" -> {True, True}, 
           "LabelStyle" -> {
            FontFamily -> "BitstreamCharter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[355, 2], 213}, "Axes" -> {True, True}, 
          "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwV1nlYTO0bB/AjUm+JFtLKWCJtRAjxjDWppGxJGNrorbekPXGo0EbadGam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          "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.05, 1.05}, {-0.249, 0.049}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[355, 2], 213}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "BitstreamCharter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> Rational[6, 5], "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[
    Rational[6, 5], 1.2],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     FormBox[
      StyleBox[
       RowBox[{
         SubscriptBox["V", "0"], "\[LongEqual]", "1.47`"}], FontFamily -> 
       "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], ScriptLevel -> 1, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.92, 0.97}], 
     ImageScaled[{1, 1}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"UNSAT\"", FontFamily -> "BitstreamCharter", FontSize -> 12, 
       GrayLevel[0], Bold, StripOnInput -> False], TraditionalForm], 
     Scaled[{0.07, 0.02}], 
     ImageScaled[{0, 0}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
        RowBox[{
          SubscriptBox["\[ScriptCapitalS]", "\[CapitalOmega]"], "(", 
          TagBox[
           TagBox["m", HoldForm], HoldForm], ")"}], FontOpacity -> 0, 
        StripOnInput -> False], HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["m", HoldForm], HoldForm], HoldForm], TraditionalForm], None}},
  
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[355, 2], 177.5],
  LabelStyle->{FontFamily -> "BitstreamCharter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{-0.05, 1.05}, {-0.249, 0.049}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{-1, 0}, {2, 0}}], 
    LineBox[{{0, -4}, {0, 1}}], 
    LineBox[{{1, -4}, {1, 1}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.932544585921021*^9, 3.932555820772196*^9, 3.933130189622666*^9, 
   3.933304324090854*^9, 3.933318980490048*^9, 3.933589695685349*^9, 
   3.93359534707708*^9, 3.933602453525375*^9, {3.933645728304534*^9, 
   3.933645760290933*^9}, {3.933645831662387*^9, 3.933645839760312*^9}, {
   3.9336460483347273`*^9, 3.933646068778495*^9}, {3.9336461086345*^9, 
   3.93364617560248*^9}, 3.933646386026937*^9, 3.933646430152437*^9, {
   3.933646640275092*^9, 3.93364664771089*^9}, {3.933646684632864*^9, 
   3.933646691408554*^9}, {3.933646778141636*^9, 3.9336468764592543`*^9}, {
   3.933646909529991*^9, 3.933646979026126*^9}, 3.93364706404455*^9, {
   3.933647096039643*^9, 3.9336471406539507`*^9}, {3.933647180698885*^9, 
   3.933647196427528*^9}, {3.9336472801834803`*^9, 3.933647307718174*^9}, {
   3.933647373975957*^9, 3.933647512348444*^9}, {3.933647566924131*^9, 
   3.93364758435288*^9}, {3.93364762051097*^9, 3.9336477138113403`*^9}, {
   3.933647749148934*^9, 3.933647775281829*^9}, {3.933647911435404*^9, 
   3.933647938202267*^9}, 3.933647985180957*^9, {3.933648023739794*^9, 
   3.933648033020596*^9}, 3.933648081574199*^9, {3.93364825429282*^9, 
   3.933648268798283*^9}, 3.933648322137349*^9, {3.933648494737792*^9, 
   3.933648499779223*^9}, {3.933648609096498*^9, 3.933648614499567*^9}, {
   3.933648647064361*^9, 3.933648654341125*^9}, 3.93364871732869*^9, 
   3.933649370443953*^9, 3.933649402158951*^9, 3.933649452874392*^9, 
   3.933669613274262*^9, {3.93375538232437*^9, 3.933755403412998*^9}, {
   3.933755568430127*^9, 3.933755690339591*^9}, {3.933755734863893*^9, 
   3.933755780862669*^9}, {3.93375581707277*^9, 3.9337558259253407`*^9}, {
   3.9337558763372498`*^9, 3.933756034313706*^9}, {3.933756067698417*^9, 
   3.933756083944231*^9}, {3.9337561395884333`*^9, 3.9337562236361513`*^9}, 
   3.9337562611948853`*^9, {3.933756308927909*^9, 3.933756318365337*^9}, 
   3.933756365424526*^9, 3.933756455411413*^9, {3.933756891577135*^9, 
   3.933756917774147*^9}, {3.933757096109779*^9, 3.933757157279377*^9}, {
   3.933765252731138*^9, 3.933765276684458*^9}, {3.933784177228798*^9, 
   3.933784229910527*^9}, 3.933784313690855*^9, 3.9337845033981123`*^9, 
   3.933784661793009*^9},
 CellLabel->
  "Out[114]=",ExpressionUUID->"287418c4-2a20-4424-ba1b-44882842bdbc"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"SetDirectory", "[", 
   RowBox[{"NotebookDirectory", "[", "]"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/regime_1.pdf\>\"", ",", "regimePlot1"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/regime_2.pdf\>\"", ",", "regimePlot2"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/regime_3.pdf\>\"", ",", "regimePlot3"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/regime_4.pdf\>\"", ",", "regimePlot4"}], "]"}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.933606136686246*^9, 3.933606176063049*^9}, 
   3.933606425729522*^9, {3.933606976936059*^9, 3.933606984616825*^9}, {
   3.933607821113494*^9, 3.933607827714554*^9}, {3.933756940970488*^9, 
   3.933756956479843*^9}, {3.933765294999028*^9, 3.933765308583109*^9}, {
   3.9337843190521803`*^9, 3.9337843234517*^9}},
 CellLabel->
  "In[121]:=",ExpressionUUID->"587076b9-908e-406a-9c46-ad3a25c086de"]
}, Closed]],

Cell[CellGroupData[{

Cell["Phase diagrams", "Subsection",
 CellChangeTimes->{{3.933764132514757*^9, 
  3.933764135264447*^9}},ExpressionUUID->"5159d821-004a-42df-9d4c-\
fa83e8d77495"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"phasesPlot1", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"Reverse", "@", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"VSATs", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}], ",", 
          RowBox[{"VSATs", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}]}], "}"}]}], "/", 
       SuperscriptBox["\[Alpha]", 
        RowBox[{
         RowBox[{"-", "1"}], "/", "2"}]]}], "/.", 
      RowBox[{"f", "->", 
       RowBox[{"Function", "[", 
        RowBox[{"q", ",", 
         RowBox[{"(", 
          SuperscriptBox["q", "1"], ")"}]}], "]"}]}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Alpha]", ",", "0", ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.06"}], ",", 
         RowBox[{"1", "+", "0.06"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.075"}], ",", "1.275"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Inset", "[", 
        RowBox[{
         RowBox[{"LineLegend", "[", 
          RowBox[{
           RowBox[{
            RowBox[{"ColorData", "[", "97", "]"}], "/@", 
            RowBox[{"Reverse", "@", 
             RowBox[{"Range", "[", "3", "]"}]}]}], ",", 
           RowBox[{"{", 
            RowBox[{
             SubscriptBox["V", 
              RowBox[{"Style", "[", 
               RowBox[{"\"\<sat\>\"", ",", 
                RowBox[{"FontVariations", "->", 
                 RowBox[{"{", 
                  RowBox[{"\"\<CapsType\>\"", "->", "\"\<SmallCaps\>\""}], 
                  "}"}]}]}], "]"}]], ",", 
             SubscriptBox["V", "sh"], ",", 
             SubscriptBox["V", "on"]}], "}"}], ",", 
           RowBox[{"LabelStyle", "->", 
            RowBox[{"{", 
             RowBox[{
              RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
              
              RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}]}], 
          "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.75", ",", "0.75"}], "}"}], "]"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*StyleBox[\"f\",FontSlant->\"Italic\"]\)(\!\(\*StyleBox[\"\
q\",FontSlant->\"Italic\"]\)) = \!\(\*StyleBox[\"q\",FontSlant->\"Italic\"]\)\
\>\"", ",", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
             RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
             RowBox[{"ScriptLevel", "->", "2"}]}], "}"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.25", ",", "0.15"}], "}"}], "]"}]}], "]"}]}], "}"}]}], 
    ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{
      "\[Alpha]", ",", 
       "\"\<\!\(\*SubscriptBox[\(V\), \(0\)]\) \
\!\(\*SuperscriptBox[\(\[Alpha]\), \(1/2\)]\)\>\""}], "}"}]}], ",", 
    RowBox[{"Filling", "->", 
     RowBox[{"{", 
      RowBox[{"1", "->", "Axis"}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "3"}], "+", "25"}]}], ",", 
    RowBox[{"AspectRatio", "->", "1"}], ",", 
    RowBox[{"PlotStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"ColorData", "[", "97", "]"}], "[", "1", "]"}], ",", 
       RowBox[{
        RowBox[{"ColorData", "[", "97", "]"}], "[", "3", "]"}]}], "}"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.933130807414353*^9, 3.933130962434251*^9}, {
   3.933131005229073*^9, 3.933131018221747*^9}, {3.933131931462623*^9, 
   3.933131931669272*^9}, {3.933132052815501*^9, 3.933132073576548*^9}, {
   3.933132385070485*^9, 3.933132391238607*^9}, {3.933310215384925*^9, 
   3.933310244866306*^9}, {3.933310477573464*^9, 3.93331050385329*^9}, {
   3.933310538394132*^9, 3.933310539489828*^9}, {3.93331836020802*^9, 
   3.933318384646273*^9}, 3.933318745493633*^9, 3.9333189419980288`*^9, {
   3.93331912047832*^9, 3.933319120748495*^9}, {3.93331922819624*^9, 
   3.933319265595239*^9}, {3.933319391840914*^9, 3.9333193986634607`*^9}, {
   3.933322780147758*^9, 3.933322780434679*^9}, {3.933324401253175*^9, 
   3.9333244045951653`*^9}, {3.933589826416069*^9, 3.933590173924115*^9}, {
   3.933590212798723*^9, 3.933590443751858*^9}, {3.93359048301801*^9, 
   3.933590484513767*^9}, {3.933593059622114*^9, 3.93359319361779*^9}, {
   3.933593626322722*^9, 3.933593657196583*^9}, {3.933593690285328*^9, 
   3.933593731264715*^9}, {3.933593915190445*^9, 3.933593969272739*^9}, {
   3.933602464515313*^9, 3.933602540756267*^9}, {3.93360613299465*^9, 
   3.933606134222437*^9}, {3.9336061689766283`*^9, 3.933606224842656*^9}, {
   3.933606363809283*^9, 3.933606364200634*^9}, {3.933606401660374*^9, 
   3.933606401753611*^9}, {3.933606434108914*^9, 3.933606435331141*^9}, {
   3.933606482589843*^9, 3.9336064945975*^9}, {3.9336065327989683`*^9, 
   3.933606541569419*^9}, {3.933606591849911*^9, 3.933606729350228*^9}, {
   3.933606767129676*^9, 3.933606957568143*^9}, {3.933606996509241*^9, 
   3.9336069975154448`*^9}, {3.9336070810783653`*^9, 
   3.9336070871267653`*^9}, {3.933607128191783*^9, 3.933607129990894*^9}, {
   3.933607179570539*^9, 3.933607189890456*^9}, {3.933607294462334*^9, 
   3.933607352103284*^9}, {3.933607421094617*^9, 3.933607429355875*^9}, {
   3.933607460446582*^9, 3.933607460756509*^9}, {3.933607536738978*^9, 
   3.9336077495946207`*^9}, {3.933607814216325*^9, 3.933607814793643*^9}, {
   3.933607876247958*^9, 3.933607877101968*^9}, {3.933607938858721*^9, 
   3.933607966049019*^9}, {3.933608022916145*^9, 3.933608023099994*^9}, {
   3.933608176451635*^9, 3.933608247402646*^9}, {3.93360833177718*^9, 
   3.933608397322925*^9}, 3.933608442213436*^9, {3.933611008506209*^9, 
   3.9336110103187523`*^9}, {3.933613217396338*^9, 3.933613219360433*^9}, {
   3.933645952631649*^9, 3.93364597175183*^9}, {3.933764474321073*^9, 
   3.933764485320884*^9}},
 CellLabel->"In[32]:=",ExpressionUUID->"6c065066-6bf9-4f3a-a1a0-0b9cba9f452c"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{GraphicsComplexBox[CompressedData["
1:eJztlfs71fkWx7c7lW2UarYGEZ1RGQ4ynMrbRDeXU5R0MagkI0SRTO7RSFNK
jkoUuTQoW7nlbtwahrb7/bqxXbb9/XByN9ljnufMP3Ee63nWs57143qv9V4v
xfNXLC4K0mi07pX8qxpfHG0oHbPUrwkPWeTzCQLFM/9xhxEJwX/e6NRiEpw6
Hc+cnErE+GByRMZJgrX8QOtD8kykhNCatwsRqJhTo+V3syB0Qb/jQgYFr496
eDKdB4tbZ+tjLSlszpLuFRAowezMGhbF5yGHbVjL2luGmK0jCUvxPJQ5xW45
PVEBE8e9xU+NeJjZvk/qjcsHjAhJVrpOTEBwIe2LLSo1EHILFoi7OwEdvl3O
8fRabCuwHt2gMYHaYO2PVTtYMHihFKXRwoXCA+5CClWP/1gcntF354I719fb
otGI48066RnruUgcL6ih32+C3cNMk9zUcdDlXpGhoWa87hDdL2M4jp9/yHaI
U27F0xNuWnP9Y5g1SBty9G9D0RmljAGPMXhoVmRtKm+HksE3QmfpY+hLr7jb
oNiJJfqnBrvYUSw5NT9T/bELmEmMv7ZrFDu/E1t2KOiG2py4ts6vIzj0UvHS
2829uB52QLfceARecrZKA9Z94GelxQp0crBrwnJtm1k/hFBkeOwHDjZITYpX
LPbDQMJWKmBiGMIlz5jbYgZA0zPL9PIcxmXtgg4JEzZ6YjY/9J4aQtqR83HF
s2zc9v22Mtl5CDNc2S84UYNwDZCikniDyD5+SCjSaAjOGtUl+naD8D8c8iKL
M4Sg4L16Qe1sKPYYtyeEDKOrSrEy/igb//o2OJKhycHBqwt2V3IGYC3PWhBo
4uC5hPyTN0oDmKm5x3YLHEFKQNiNFJ9+PBG28bBQHoWGyMFhsdw+bOjNfilY
MQr7GFdNBddeiPgGntBzH0PoC7Psgflu0FJsmOz14zBtWlQpCOvC1WjmvfVl
46DNcie+HulA0c5QcWlXLsL/G2uaoN4OaeOru4LoE1iU8Xp1xasV3Wr1Td6F
K3cwIH7A3a0ZGc+hPGTDQ6DDrIPLqUZ8z9SRllvmIeuh1/QdsXoEhMQHdqdS
IAGOa1rka/BmVO4Z3ZSglHNnk+98GR4rrJ35ywdNEuVBvnlKiNt49HYYIxjX
GkXuZrYRuMo6V/ucoOBOf9+XtK8Om3Jt73suUZC82Klc0VQFpWCZw2LJBA5d
5kFyzfnoUf/J8B7DA+dZJfL9XAKOvTnPVJVC2PXt55LTP8LkOU1ctYmCrpZy
5vWffoOjztOpNd4E8w37OttcSjHHup302p9Cd9qnfJ+838FmFcuUbSO42eOi
3flHBbobwp8LNRHo6DMa/ebfwcp+riiCYY82j60vp2YIlNYY8bM2ULgnacH/
3Y4FjnRDhWAJBSWTpMpTJ6sRFn626ufzBI9kuZbNxb9C09M7V8aJgpaVgtN2
v1r4GIY3PJMi2G9+ahK8SvB3WFwLKSQwtec3zO7JxYGe1q/uhBOoG8tTvy0X
If9GXXXgGMF9tWFHpeZUmNS1vYtlnMDD2CCthcUVna33iY+JUziqlph86T0L
mSZ6CSSLQpua364zBdX4qrAww8xqZZ5HrY4HbcpQ/+Fq6WFbCs6MJSq4txZH
fOeYoSIE/t2q7annqvDAKvP7g28JLl9RYYV+mYdWCV0x42ACM8MD2Y88S2CS
9E3W/l4C+QeXOztcMuC6PBla8YGgvJUbkbc7G1+bOveVThNUiliWhsy/hNaL
JzGZDCN0iBpn+HwmoIvmr7slRIFuw9PrGmQh2tFlPYdJwcrzs/khXjXsLXgq
6eYEMd3Vc7TXZVBwJxXs0xQaJqct99LroBG9U8GfRuB3rPUmP7oKHbzBxuS0
lb/JazEQXcyDQpyjT6ofQdvWKCnjjaWI3GOrmtBOkBshq9Fa/BY5kYrLymUE
S5uSlIv1c+DOjjmhSAiM6179+MeeVxCUWtZnDxJsrNY/Vrf8Bv3Ze5zsVnTe
EqAqpNMcDWFDWbc+hjZqQt+fLV4myDkzT6+nUXjvLtjnt8CCpJeY8bk3FPqX
UhcYojUIjQ2x6/03AW9BZuBiYxmqKtU+qFtR8LFnFi+q1CHhl8qTi58piLbO
3r2WW4VlXR/Jtl8IxFWX1n26lA8jLi238ybBrv5pg7rvSvH+9tyFphaCz+wp
zcM279DZl6drWUJQpjY5ll+cgyi13eHmEwQ7OVbr7n+Zgu1norzXDxAM7Vcb
fOzJhLBAc+KDOYIO2a1dAy5xMH0sLDs1RXDLtb2yZHcSCp0S1DVW9nSkcYd3
/HwEVnm2yrNVnq3ybJVnqzz7f+IZ7X/xt5//7v8ETP4b0Q==
       "], {{{}, 
         {RGBColor[0.368417, 0.506779, 0.709798], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[
           PolygonBox[{{1, 219, 220, 50, 109, 94, 107, 81, 108, 92, 105, 70, 
            93, 106, 79, 90, 103, 61, 80, 91, 104, 68, 77, 88, 101, 54, 69, 
            78, 89, 102, 58, 65, 74, 85, 98, 49, 60, 67, 76, 87, 100, 53, 57, 
            64, 73, 84, 97, 48, 59, 66, 75, 86, 99, 52, 56, 63, 72, 83, 96, 
            47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 
            31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 
            15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 51, 55, 62, 71, 
            82, 95}}]]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
         TagBox[
          {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
           Opacity[1.], 
           LineBox[{1, 95, 82, 71, 62, 55, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
             12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 
            28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 
            44, 45, 46, 47, 96, 83, 72, 63, 56, 52, 99, 86, 75, 66, 59, 48, 
            97, 84, 73, 64, 57, 53, 100, 87, 76, 67, 60, 49, 98, 85, 74, 65, 
            58, 102, 89, 78, 69, 54, 101, 88, 77, 68, 104, 91, 80, 61, 103, 
            90, 79, 106, 93, 70, 105, 92, 108, 81, 107, 94, 109, 50}]},
          Annotation[#, "Charting`Private`Tag#1"]& ], 
         TagBox[
          {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
           Opacity[1.], 
           LineBox[{110, 204, 191, 180, 171, 164, 160, 111, 112, 113, 114, 
            115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 
            128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 
            141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 
            154, 155, 156, 205, 192, 181, 172, 165, 161, 208, 195, 184, 175, 
            168, 157, 206, 193, 182, 173, 166, 162, 209, 196, 185, 176, 169, 
            158, 207, 194, 183, 174, 167, 211, 198, 187, 178, 163, 210, 197, 
            186, 177, 213, 200, 189, 170, 212, 199, 188, 215, 202, 179, 214, 
            201, 217, 190, 216, 203, 218, 159}]},
          Annotation[#, "Charting`Private`Tag#2"]& ]}}], {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {
         GraphicsComplex[CompressedData["
1:eJztlfs71fkWx7c7lW2UarYGEZ1RGQ4ynMrbRDeXU5R0MagkI0SRTO7RSFNK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          "], {{{}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.368417, 0.506779, 0.709798], 
              Opacity[0.2]], 
             GraphicsGroup[{
               
               Polygon[{{1, 219, 220, 50, 109, 94, 107, 81, 108, 92, 105, 70, 
                93, 106, 79, 90, 103, 61, 80, 91, 104, 68, 77, 88, 101, 54, 
                69, 78, 89, 102, 58, 65, 74, 85, 98, 49, 60, 67, 76, 87, 100, 
                53, 57, 64, 73, 84, 97, 48, 59, 66, 75, 86, 99, 52, 56, 63, 
                72, 83, 96, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 
                35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 
                20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 
                3, 2, 51, 55, 62, 71, 82, 
                95}}]}]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               AbsoluteThickness[2], 
               RGBColor[0.368417, 0.506779, 0.709798]], 
              
              Line[{1, 95, 82, 71, 62, 55, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11,
                12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 
               27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42,
                43, 44, 45, 46, 47, 96, 83, 72, 63, 56, 52, 99, 86, 75, 66, 
               59, 48, 97, 84, 73, 64, 57, 53, 100, 87, 76, 67, 60, 49, 98, 
               85, 74, 65, 58, 102, 89, 78, 69, 54, 101, 88, 77, 68, 104, 91, 
               80, 61, 103, 90, 79, 106, 93, 70, 105, 92, 108, 81, 107, 94, 
               109, 50}]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               AbsoluteThickness[2], 
               RGBColor[0.560181, 0.691569, 0.194885]], 
              
              Line[{110, 204, 191, 180, 171, 164, 160, 111, 112, 113, 114, 
               115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 
               127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 
               139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150, 
               151, 152, 153, 154, 155, 156, 205, 192, 181, 172, 165, 161, 
               208, 195, 184, 175, 168, 157, 206, 193, 182, 173, 166, 162, 
               209, 196, 185, 176, 169, 158, 207, 194, 183, 174, 167, 211, 
               198, 187, 178, 163, 210, 197, 186, 177, 213, 200, 189, 170, 
               212, 199, 188, 215, 202, 179, 214, 201, 217, 190, 216, 203, 
               218, 159}]}, "Charting`Private`Tag#2"]}}], {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[665, 3], 
             Rational[665, 3]}, "Axes" -> {True, True}, 
           "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              AbsoluteThickness[2], 
              RGBColor[0.560181, 0.691569, 0.194885]], 
             Directive[
              Opacity[1.], 
              AbsoluteThickness[2], 
              RGBColor[0.368417, 0.506779, 0.709798]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {{{{}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.368417, 0.506779, 0.709798], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxdVXs81PkCHY88KmOTakcbmWhXsSyyuZVj00PoFpFei0qyQlSSTV7RSltK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                    "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  AbsoluteThickness[2], 
                  RGBColor[0.368417, 0.506779, 0.709798]], 
                 Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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                  "]]}, "Charting`Private`Tag#1"], 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  AbsoluteThickness[2], 
                  RGBColor[0.560181, 0.691569, 0.194885]], 
                 Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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                  "]]}, "Charting`Private`Tag#2"]}}, {}}, "GCFlag" -> True|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[665, 3], 
            Rational[665, 3]}, "Axes" -> {True, True}, 
          "LabelStyle" -> {
           FontFamily -> "Bitstream Charter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             AbsoluteThickness[2], 
             RGBColor[0.560181, 0.691569, 0.194885]], 
            Directive[
             Opacity[1.], 
             AbsoluteThickness[2], 
             RGBColor[0.368417, 0.506779, 0.709798]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {{{{}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.368417, 0.506779, 0.709798], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxdVXs81PkCHY88KmOTakcbmWhXsSyyuZVj00PoFpFei0qyQlSSTV7RSltK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                   "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 AbsoluteThickness[2], 
                 RGBColor[0.368417, 0.506779, 0.709798]], 
                Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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                 "]]}, "Charting`Private`Tag#1"], 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 AbsoluteThickness[2], 
                 RGBColor[0.560181, 0.691569, 0.194885]], 
                Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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                 "]]}, "Charting`Private`Tag#2"]}}, {}}, "GCFlag" -> True|>, 
        "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{
     GraphicsComplex[CompressedData["
1:eJztlfs71fkWx7c7lW2UarYGEZ1RGQ4ynMrbRDeXU5R0MagkI0SRTO7RSFNK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      "], {{{}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroup[{
           
           Polygon[{{1, 219, 220, 50, 109, 94, 107, 81, 108, 92, 105, 70, 93, 
            106, 79, 90, 103, 61, 80, 91, 104, 68, 77, 88, 101, 54, 69, 78, 
            89, 102, 58, 65, 74, 85, 98, 49, 60, 67, 76, 87, 100, 53, 57, 64, 
            73, 84, 97, 48, 59, 66, 75, 86, 99, 52, 56, 63, 72, 83, 96, 47, 
            46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 
            30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 
            14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 51, 55, 62, 71, 82, 
            95}}]}]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           AbsoluteThickness[2], 
           RGBColor[0.368417, 0.506779, 0.709798]], 
          
          Line[{1, 95, 82, 71, 62, 55, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
            13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 
           29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45,
            46, 47, 96, 83, 72, 63, 56, 52, 99, 86, 75, 66, 59, 48, 97, 84, 
           73, 64, 57, 53, 100, 87, 76, 67, 60, 49, 98, 85, 74, 65, 58, 102, 
           89, 78, 69, 54, 101, 88, 77, 68, 104, 91, 80, 61, 103, 90, 79, 106,
            93, 70, 105, 92, 108, 81, 107, 94, 109, 50}]}, 
         "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           AbsoluteThickness[2], 
           RGBColor[0.560181, 0.691569, 0.194885]], 
          
          Line[{110, 204, 191, 180, 171, 164, 160, 111, 112, 113, 114, 115, 
           116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 
           129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 
           142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 
           155, 156, 205, 192, 181, 172, 165, 161, 208, 195, 184, 175, 168, 
           157, 206, 193, 182, 173, 166, 162, 209, 196, 185, 176, 169, 158, 
           207, 194, 183, 174, 167, 211, 198, 187, 178, 163, 210, 197, 186, 
           177, 213, 200, 189, 170, 212, 199, 188, 215, 202, 179, 214, 201, 
           217, 190, 216, 203, 218, 159}]}, 
         "Charting`Private`Tag#2"]}}], {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[665, 3], 
         Rational[665, 3]}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          AbsoluteThickness[2], 
          RGBColor[0.560181, 0.691569, 0.194885]], 
         Directive[
          Opacity[1.], 
          AbsoluteThickness[2], 
          RGBColor[0.368417, 0.506779, 0.709798]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {{{{}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.368417, 0.506779, 0.709798], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxdVXs81PkCHY88KmOTakcbmWhXsSyyuZVj00PoFpFei0qyQlSSTV7RSltK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                "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {}}, {{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              AbsoluteThickness[2], 
              RGBColor[0.368417, 0.506779, 0.709798]], 
             Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              AbsoluteThickness[2], 
              RGBColor[0.560181, 0.691569, 0.194885]], 
             Line[CompressedData["
1:eJwVlXk81HkDx8dNx1il2tEiE55VLE/K8lQ+Np2Op4h0WFQqK0Ql2eSKVtrS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              "]]}, "Charting`Private`Tag#2"]}}, {}}, "GCFlag" -> True|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->1,
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     BoxData[
      FormBox[
       TemplateBox[{
         SubscriptBox["V", 
          StyleBox[
          "\"sat\"", FontVariations -> {"CapsType" -> "SmallCaps"}, 
           StripOnInput -> False]], 
         SubscriptBox["V", "sh"], 
         SubscriptBox["V", "on"]}, "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[0.560181, 0.691569, 0.194885]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.880722, 0.611041, 0.142051]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #2}, {
                    GraphicsBox[{{
                    Directive[
                    EdgeForm[
                    Directive[
                    Opacity[0.3], 
                    GrayLevel[0]]], 
                    PointSize[0.5], 
                    AbsoluteThickness[1.6], 
                    RGBColor[0.368417, 0.506779, 0.709798]], {
                    LineBox[{{0, 12.5}, {20, 12.5}}]}}, {
                    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, 12.5}, 
                    PlotRangePadding -> None, ImagePadding -> Automatic, 
                    BaselinePosition -> (Scaled[0.116] -> Baseline)], #3}}, 
                   GridBoxAlignment -> {
                    "Columns" -> {Center, Left}, "Rows" -> {{Baseline}}}, 
                   AutoDelete -> False, 
                   GridBoxDividers -> {
                    "Columns" -> {{False}}, "Rows" -> {{False}}}, 
                   GridBoxItemSize -> {
                    "Columns" -> {{All}}, "Rows" -> {{All}}}, 
                   GridBoxSpacings -> {
                    "Columns" -> {{0.5}}, "Rows" -> {{0.8}}}], "Grid"]}}, 
               GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}},
                AutoDelete -> False, 
               GridBoxItemSize -> {
                "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
               GridBoxSpacings -> {"Columns" -> {{1}}, "Rows" -> {{0}}}], 
              "Grid"], Alignment -> Left, AppearanceElements -> None, 
             ImageMargins -> {{5, 5}, {5, 5}}, ImageSizeAction -> 
             "ResizeToFit"], LineIndent -> 0, StripOnInput -> False], {
           FontFamily -> "Bitstream Charter", FontSize -> 12, 
            GrayLevel[0]}, Background -> Automatic, StripOnInput -> False], 
          TraditionalForm]& ), 
        InterpretationFunction :> (RowBox[{"LineLegend", "[", 
           RowBox[{
             RowBox[{"{", 
               RowBox[{
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.560181, 0.691569, 0.194885]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.880722, 0.611041, 0.142051]|>, 
                  "RGBColorSwatchTemplate"], ",", 
                 
                 TemplateBox[<|
                  "color" -> RGBColor[0.368417, 0.506779, 0.709798]|>, 
                  "RGBColorSwatchTemplate"]}], "}"}], ",", 
             RowBox[{"{", 
               RowBox[{#, ",", #2, ",", #3}], "}"}], ",", 
             RowBox[{"LabelStyle", "\[Rule]", 
               RowBox[{"{", 
                 RowBox[{
                   RowBox[{"FontFamily", "\[Rule]", "\"Bitstream Charter\""}],
                    ",", 
                   RowBox[{"FontSize", "\[Rule]", "12"}], ",", 
                   
                   TemplateBox[<|"color" -> GrayLevel[0]|>, 
                    "GrayLevelColorSwatchTemplate"]}], "}"}]}]}], "]"}]& ), 
        Editable -> True], TraditionalForm]], 
     Scaled[{0.75, 0.75}]], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*StyleBox[\\\"f\\\",FontSlant->\\\"Italic\\\"]\\)(\\!\\(\\*\
StyleBox[\\\"q\\\",FontSlant->\\\"Italic\\\"]\\)) = \\!\\(\\*StyleBox[\\\"q\\\
\",FontSlant->\\\"Italic\\\"]\\)\"", {
       FontFamily -> "Bitstream Charter", FontSize -> 12, 
        GrayLevel[0], ScriptLevel -> 2}, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.25, 0.15}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
      "\"\\!\\(\\*SubscriptBox[\\(V\\), \\(0\\)]\\) \
\\!\\(\\*SuperscriptBox[\\(\[Alpha]\\), \\(1/2\\)]\\)\"", HoldForm], 
      TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["\[Alpha]", HoldForm], HoldForm], HoldForm], TraditionalForm], 
     None}},
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[665, 3], 221.66666666666666`],
  LabelStyle->{FontFamily -> "Bitstream Charter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}, "AxesInFront" -> True},
  PlotRange->{{-0.06, 1.06}, {-0.075, 1.275}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{0, -1}, {0, 2}}], 
    LineBox[{{1, -1}, {1, 2}}], 
    LineBox[{{-1, 0}, {2, 0}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.933606729825605*^9, {3.933606769900775*^9, 3.933606958155503*^9}, 
   3.933606998209283*^9, {3.933607081813335*^9, 3.933607087692496*^9}, 
   3.933607130498529*^9, 3.9336072992830973`*^9, 3.933607361460965*^9, {
   3.933607421508563*^9, 3.933607429724491*^9}, 3.933607461047215*^9, {
   3.933607537072741*^9, 3.933607701962776*^9}, 3.933607749892522*^9, 
   3.933607815041184*^9, 3.933607877391302*^9, {3.933607939221753*^9, 
   3.933607966394957*^9}, 3.933608023419306*^9, {3.933608180928298*^9, 
   3.93360824780241*^9}, {3.933608332144991*^9, 3.93360836452283*^9}, 
   3.933608397471643*^9, 3.933608443233274*^9, 3.933611248132639*^9, 
   3.933613219811739*^9, 3.933645999601563*^9, 3.9337644865597*^9},
 CellLabel->"Out[32]=",ExpressionUUID->"7e82ffb6-84e7-4a29-8501-6c669630aa8e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"phasesPlot2", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"Reverse", "@", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"VSAT", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}], ",", 
          RowBox[{"Vsh", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}], ",", 
          RowBox[{"Von", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}]}], "}"}]}], "/", 
       SuperscriptBox["\[Alpha]", 
        RowBox[{
         RowBox[{"-", "1"}], "/", "2"}]]}], "/.", 
      RowBox[{"f", "->", 
       RowBox[{"Function", "[", 
        RowBox[{"q", ",", 
         RowBox[{
          FractionBox["1", "2"], 
          RowBox[{"(", 
           SuperscriptBox["q", "2"], ")"}]}]}], "]"}]}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Alpha]", ",", "0", ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.06"}], ",", 
         RowBox[{"1", "+", "0.06"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.075"}], ",", "1.275"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{"Text", "[", 
       RowBox[{
        RowBox[{"Style", "[", 
         RowBox[{
         "\"\<\!\(\*StyleBox[\"f\",FontSlant->\"Italic\"]\)(\!\(\*StyleBox[\"\
q\",FontSlant->\"Italic\"]\)) = \!\(\*FractionBox[\(1\), \
\(2\)]\)\!\(\*SuperscriptBox[\(q\), \(2\)]\)\>\"", ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
            RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
            RowBox[{"ScriptLevel", "->", "2"}]}], "}"}]}], "]"}], ",", 
        RowBox[{"Scaled", "[", 
         RowBox[{"{", 
          RowBox[{"0.3", ",", "0.15"}], "}"}], "]"}]}], "]"}], "}"}]}], ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"\[Alpha]", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
        "\"\<\!\(\*SubscriptBox[\(V\), \(0\)]\) \!\(\*SuperscriptBox[\(\
\[Alpha]\), \(1/2\)]\)\>\"", ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"Filling", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"1", "->", "Axis"}], ",", 
       RowBox[{"2", "->", 
        RowBox[{"{", "1", "}"}]}], ",", 
       RowBox[{"3", "->", 
        RowBox[{"{", "2", "}"}]}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "3"}], "+", "25"}]}], ",", 
    RowBox[{"AspectRatio", "->", "1"}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.933130807414353*^9, 3.933130962434251*^9}, {
   3.933131005229073*^9, 3.933131018221747*^9}, {3.933131931462623*^9, 
   3.933131931669272*^9}, {3.9331320528155007`*^9, 3.933132073576548*^9}, {
   3.933132385070485*^9, 3.933132391238607*^9}, {3.933310215384925*^9, 
   3.933310244866306*^9}, {3.933310477573464*^9, 3.93331050385329*^9}, {
   3.933310538394132*^9, 3.933310539489828*^9}, {3.93331836020802*^9, 
   3.933318384646273*^9}, 3.933318745493633*^9, 3.9333189419980288`*^9, {
   3.93331912047832*^9, 3.933319120748495*^9}, {3.93331922819624*^9, 
   3.933319265595239*^9}, {3.933319391840914*^9, 3.9333193986634607`*^9}, {
   3.933322780147758*^9, 3.933322780434679*^9}, {3.933324401253175*^9, 
   3.9333244045951653`*^9}, {3.933589826416069*^9, 3.933590173924115*^9}, {
   3.933590212798723*^9, 3.933590443751858*^9}, {3.93359048301801*^9, 
   3.933590484513767*^9}, {3.933593059622114*^9, 3.93359319361779*^9}, {
   3.933593626322722*^9, 3.933593657196583*^9}, {3.933593690285328*^9, 
   3.933593731264715*^9}, {3.933593915190445*^9, 3.933593969272739*^9}, {
   3.933602464515313*^9, 3.933602540756267*^9}, {3.93360613299465*^9, 
   3.933606134222437*^9}, {3.9336061689766283`*^9, 3.933606224842656*^9}, {
   3.933606363809283*^9, 3.933606364200634*^9}, {3.933606401660374*^9, 
   3.933606401753611*^9}, {3.933606434108914*^9, 3.933606435331141*^9}, {
   3.933606482589843*^9, 3.9336064945975*^9}, {3.9336065327989683`*^9, 
   3.933606541569419*^9}, {3.933606591849911*^9, 3.933606729350228*^9}, {
   3.933606767129676*^9, 3.933606957568143*^9}, {3.933606996509241*^9, 
   3.9336069975154448`*^9}, {3.9336070810783653`*^9, 
   3.9336070871267653`*^9}, {3.933607128191783*^9, 3.933607129990894*^9}, {
   3.933607179570539*^9, 3.933607189890456*^9}, 3.933607778740341*^9, {
   3.933607859656215*^9, 3.933607884462244*^9}, {3.9336079311932173`*^9, 
   3.933607961041189*^9}, {3.933608027387705*^9, 3.933608027467605*^9}, {
   3.933608404229768*^9, 3.933608472461944*^9}, {3.933608532297432*^9, 
   3.933608532520257*^9}, {3.933611023638937*^9, 3.933611026774822*^9}, {
   3.933613162752092*^9, 3.9336131645574927`*^9}, {3.933613223875701*^9, 
   3.9336132255366488`*^9}, {3.933764494623168*^9, 3.9337645102881403`*^9}},
 CellLabel->"In[33]:=",ExpressionUUID->"b7835bf7-af7e-4043-ba65-56202b80be80"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "precw", 
   "\"The precision of the argument function \
(\\!\\(\\*RowBox[{RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \
RowBox[{\\\"Log\\\", \\\"[\\\", \
FractionBox[\\\"249999999999999999999999999999000000000000000000000000000001\\\
\", RowBox[{\\\"499999999999999999999999999999500000000000000000000000000000\\\
\", \\\" \\\", RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \
\\\"0.4999948928571429`\\\"}], \\\"+\\\", \
RowBox[{\\\"0.000020428571428571424`\\\", \\\" \\\", RowBox[{\\\"Power\\\", \
\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
\"}], \\\"]\\\"}]}], \\\"-\\\", RowBox[{\\\"0.000020428571428571424`\\\", \
\\\" \\\", RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \
\\\"2\\\", \\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}]], \\\"]\
\\\"}]}], \\\"-\\\", RowBox[{\\\"0.000010214285714285712`\\\", \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{FractionBox[RowBox[{\\\"2\\\", \\\" \\\", \
SuperscriptBox[\\\"V0\\\", \\\"2\\\"]}], RowBox[{\\\"1\\\", \\\"-\\\", \
FractionBox[RowBox[{\\\"999999999999999999999999999999\\\", \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"500000000000000000000000000000\
\\\"]}]], \\\"+\\\", RowBox[{\\\"Log\\\", \\\"[\\\", RowBox[{\\\"1\\\", \\\"-\
\\\", FractionBox[RowBox[{\\\"500000000000000000000000000000\\\", \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\
\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
\\\"]\\\"}]}], \\\")\\\"}]}], \\\"999999999999999999999999999999\\\"]}], \
\\\"]\\\"}]}], \\\")\\\"}]}]}]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"20.`\\\"}]\\)).\"", 2, 33, 4, 23918575073640290210, 
   "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{
  3.933606729572859*^9, {3.933606769673051*^9, 3.933606957865013*^9}, 
   3.933606997960177*^9, {3.933607081535796*^9, 3.933607087449753*^9}, 
   3.933607130244859*^9, 3.933607779136389*^9, {3.933607869545397*^9, 
   3.933607884666913*^9}, {3.933607931542312*^9, 3.933607961289904*^9}, 
   3.933608027846594*^9, {3.933608405381201*^9, 3.93360841956775*^9}, {
   3.9336084525235553`*^9, 3.9336084727059517`*^9}, 3.933608532849478*^9, 
   3.93361125227866*^9, 3.933613164896912*^9, 3.933613225927831*^9, 
   3.933764511124601*^9},
 CellLabel->
  "During evaluation of \
In[33]:=",ExpressionUUID->"27f8d3a1-af00-43ff-a010-d91ea739ca18"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "bddir", 
   "\"The search direction \\!\\(\\*RowBox[{\\\"{\\\", RowBox[{\\\"-\\\", \
\\\"1.9236496125117527383`20.*^-9\\\"}], \\\"}\\\"}]\\) is not a descent \
direction for the merit function. The step will be taken without the line \
search.\"", 2, 33, 5, 23918575073640290210, "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{
  3.933606729572859*^9, {3.933606769673051*^9, 3.933606957865013*^9}, 
   3.933606997960177*^9, {3.933607081535796*^9, 3.933607087449753*^9}, 
   3.933607130244859*^9, 3.933607779136389*^9, {3.933607869545397*^9, 
   3.933607884666913*^9}, {3.933607931542312*^9, 3.933607961289904*^9}, 
   3.933608027846594*^9, {3.933608405381201*^9, 3.93360841956775*^9}, {
   3.9336084525235553`*^9, 3.9336084727059517`*^9}, 3.933608532849478*^9, 
   3.93361125227866*^9, 3.933613164896912*^9, 3.933613225927831*^9, 
   3.933764511234015*^9},
 CellLabel->
  "During evaluation of \
In[33]:=",ExpressionUUID->"eed8c3e0-eea5-4156-aeeb-895e7f9ef13f"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{GraphicsComplexBox[CompressedData["
1:eJxd1nk0lV37B/BjKHoqU6MpCRWFRmO5QqKICskQEiXJY8jbQBlCUqJSkTmU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       "], {{{}, 
         {RGBColor[0.368417, 0.506779, 0.709798], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklI6FpRuXktqlFXT87X7M8PCdex7PzA1G
YuFofCAQiOPf+10SIbr0v5zzmw1eOeaRWf5wyjOrvHDEHaOc8Yt1IjwwzQlP
rHBAjD5mCHPILcOs8YN7vr/tY5drOhlhimX2idLLEN9YZIcrPvOVSULscUMP
g0ywwDaXdNDNAOPMs8UF7bTRSgvNNNFIA/XUUUsN1QSpopIKPlFOGaWUUEwR
hRSQTx655JBNFh/JJIN00kglhWQ+kEQiCbz9+Qv9jDHHJj/5D1ohIRk=
            "]]]}, {}, {}, {}, {}, {}, {}, {}, 
         {RGBColor[0.880722, 0.611041, 0.142051], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwt09N3FwAABeBfdmvZtbZsm4vb0rJrWVv2yVpt2bZt27bt/ou+Tj18577c
t3tuSExcdGzSQCCQhN//cwAdiKAe1ajI314ykpOClKQiNWlISzrSk4GMBJGJ
YDKThaxkIzs5yEkucpOHvOQjPwUoSAiFCCWMwhShKMUoTglKUorSlGEgHYmk
PtWpRFkG0YkoGlCDygylKy1pRG3KMZjONCecmlQhlm60ojF1KM8QutCChoyg
F22pxTB6EE1TqhJHd1ozmj40YSQxtGMs/ajLcHoynjaMoS8TacYoejOB9oyj
P5OowIHAv93f8JP7/OIV37nCa35wlxd85TT3eMk3LnGbZ3zmCJe5w3O+cILz
3OAxH9jPKS5yi6d84jDHOcd1HvGefZzkAjd5wkcOcYyzXOMh79jLHnazi53s
YDvb2MoWNrOJjWxgPetYyxpWs4qVrGA5y1jKEhaziIUsIJEE5jOPeOYyh9nM
YiYzmM40pjKFyRzkKGe4ygPeEuWgfwDK/2zs
            "]]]}, {}, {}, {}, {}, 
         {RGBColor[0.560181, 0.691569, 0.194885], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[{{234, 333, 332, 125}}]]}, 
         {RGBColor[0.560181, 0.691569, 0.194885], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU8MVP8AP0D1CxsLFb7EQMFBsbW+zu
dhSxUbHWDDys2edpz5w5J2b02FFjQgKBQJBCUg335WVOcpBcdpDGOMYzgXQm
MonJTGEqGUxjOjOYySxmM4dM5jKP+SxgIYtYzBKWsozlrGAlq8hiNWtYyzrW
s4GNbGIzW9jKNh6U73aKQ+xhJ4+5xhny2Uc2D7nCaQ6zl1084TpnOcp+tvOI
qxRwhDyecZPzHGc3T7nBOY7xgttc5ADPucUFXnGXE7zkDm+4xGvu8ZYcGrtZ
CgMZTg9G0J9k2jOAYXSjH4m0oDtxJNGWLvRlKE1pR1diSSCG1nSiN0NoRHPa
0Jk+xBNFNK3oSC8G05AG1KcedalDJLWpRU1qEEF1qlGVKlSmEuGEUZFQKhBC
MFj20P/EX/7wm1J+8ZMflPCdb3zlC5/5xEeK+UAR73lHE73NaEkHejKIkfwH
kCFuYQ==
            "]]]}, {}, {}}, {{}, {}, {}, 
         TagBox[
          {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
           Opacity[1.], 
           LineBox[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
            11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 
            27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 
            43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 58, 
            53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93, 80,
             70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 72, 
            55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113, 96,
             121, 83, 118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 
            50}]},
          Annotation[#, "Charting`Private`Tag#1"]& ], 
         TagBox[
          {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[2], 
           Opacity[1.], LineBox[CompressedData["
1:eJwNx8VRQwEAQMFPKfSTEyVQQKgAJ7g7wd2dIAGCu7u7d8Eedt685NS0lHBS
EARh0gmZBz1mgzjTjJNBJllkk0MueUTIp4BCiiimhFLKKKeCSqqopoZa6qin
gUaaiNJMC6200U4HnXTRTQ+99NHPAIMMMcwjJ2yyyAwTvHDODgnmGOGJU7ZY
IsYkr1ywywrzjPLMGdssM8s7V+yzxhRvXLLHKp/ccMgCH1xzwDd3rPPFLb8c
8cM9f4zxD7JgTqY=
            "]]},
          Annotation[#, "Charting`Private`Tag#2"]& ], 
         TagBox[
          {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
           Opacity[1.], LineBox[CompressedData["
1:eJwNzFc3wgEAxuF/skfKlowSEdmbjIyM48ZH4J7vbWdmRM/Fc/E77zlv8vLm
4joUBMEVt5yLHZaYIs0wCe7s9zzwyBPPlHjhlTfe+eCTMl9888MvFf74J/Ab
ooYwtdRRTwONNNFMC620EaGdKDE66KSLbnropY9+dllmmjFGGKTAKjNkSBFn
jxVyjJPkgHXmmGSIfdaYZYIjNllglEM2mOeYPFmKbHHKIidsc8YAVTqgItY=

            "]]},
          Annotation[#, "Charting`Private`Tag#3"]& ]}}], {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {
         GraphicsComplex[CompressedData["
1:eJxd1nk0lV37B/BjKHoqU6MpCRWFRmO5QqKICskQEiXJY8jbQBlCUqJSkTmU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          "], {{{}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.368417, 0.506779, 0.709798], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklI6FpRuXktqlFXT87X7M8PCdex7PzA1G
YuFofCAQiOPf+10SIbr0v5zzmw1eOeaRWf5wyjOrvHDEHaOc8Yt1IjwwzQlP
rHBAjD5mCHPILcOs8YN7vr/tY5drOhlhimX2idLLEN9YZIcrPvOVSULscUMP
g0ywwDaXdNDNAOPMs8UF7bTRSgvNNNFIA/XUUUsN1QSpopIKPlFOGaWUUEwR
hRSQTx655JBNFh/JJIN00kglhWQ+kEQiCbz9+Qv9jDHHJj/5D1ohIRk=
                "]]}]}, {}, {}, {}, {}, {}, {}, {}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.880722, 0.611041, 0.142051], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[CompressedData["
1:eJwt09N3FwAABeBfdmvZtbZsm4vb0rJrWVv2yVpt2bZt27bt/ou+Tj18577c
t3tuSExcdGzSQCCQhN//cwAdiKAe1ajI314ykpOClKQiNWlISzrSk4GMBJGJ
YDKThaxkIzs5yEkucpOHvOQjPwUoSAiFCCWMwhShKMUoTglKUorSlGEgHYmk
PtWpRFkG0YkoGlCDygylKy1pRG3KMZjONCecmlQhlm60ojF1KM8QutCChoyg
F22pxTB6EE1TqhJHd1ozmj40YSQxtGMs/ajLcHoynjaMoS8TacYoejOB9oyj
P5OowIHAv93f8JP7/OIV37nCa35wlxd85TT3eMk3LnGbZ3zmCJe5w3O+cILz
3OAxH9jPKS5yi6d84jDHOcd1HvGefZzkAjd5wkcOcYyzXOMh79jLHnazi53s
YDvb2MoWNrOJjWxgPetYyxpWs4qVrGA5y1jKEhaziIUsIJEE5jOPeOYyh9nM
YiYzmM40pjKFyRzkKGe4ygPeEuWgfwDK/2zs
                "]]}]}, {}, {}, {}, {}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.560181, 0.691569, 0.194885], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[{{234, 333, 332, 125}}]}]}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.560181, 0.691569, 0.194885], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU8MVP8AP0D1CxsLFb7EQMFBsbW+zu
dhSxUbHWDDys2edpz5w5J2b02FFjQgKBQJBCUg335WVOcpBcdpDGOMYzgXQm
MonJTGEqGUxjOjOYySxmM4dM5jKP+SxgIYtYzBKWsozlrGAlq8hiNWtYyzrW
s4GNbGIzW9jKNh6U73aKQ+xhJ4+5xhny2Uc2D7nCaQ6zl1084TpnOcp+tvOI
qxRwhDyecZPzHGc3T7nBOY7xgttc5ADPucUFXnGXE7zkDm+4xGvu8ZYcGrtZ
CgMZTg9G0J9k2jOAYXSjH4m0oDtxJNGWLvRlKE1pR1diSSCG1nSiN0NoRHPa
0Jk+xBNFNK3oSC8G05AG1KcedalDJLWpRU1qEEF1qlGVKlSmEuGEUZFQKhBC
MFj20P/EX/7wm1J+8ZMflPCdb3zlC5/5xEeK+UAR73lHE73NaEkHejKIkfwH
kCFuYQ==
                "]]}]}, {}, {}}, {{}, {}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              
              Line[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
               11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
                27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 
               42, 43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 
               66, 58, 53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 
               110, 93, 80, 70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112,
                95, 82, 72, 55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 
               102, 63, 113, 96, 121, 83, 118, 101, 123, 73, 116, 99, 122, 86,
                120, 103, 124, 50}]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.880722, 0.611041, 0.142051], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwNx8VRQwEAQMFPKfSTEyVQQKgAJ7g7wd2dIAGCu7u7d8Eedt685NS0lHBS
EARh0gmZBz1mgzjTjJNBJllkk0MueUTIp4BCiiimhFLKKKeCSqqopoZa6qin
gUaaiNJMC6200U4HnXTRTQ+99NHPAIMMMcwjJ2yyyAwTvHDODgnmGOGJU7ZY
IsYkr1ywywrzjPLMGdssM8s7V+yzxhRvXLLHKp/ccMgCH1xzwDd3rPPFLb8c
8cM9f4zxD7JgTqY=
               "]]}, "Charting`Private`Tag#2"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.560181, 0.691569, 0.194885], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwNzFc3wgEAxuF/skfKlowSEdmbjIyM48ZH4J7vbWdmRM/Fc/E77zlv8vLm
4joUBMEVt5yLHZaYIs0wCe7s9zzwyBPPlHjhlTfe+eCTMl9888MvFf74J/Ab
ooYwtdRRTwONNNFMC620EaGdKDE66KSLbnropY9+dllmmjFGGKTAKjNkSBFn
jxVyjJPkgHXmmGSIfdaYZYIjNllglEM2mOeYPFmKbHHKIidsc8YAVTqgItY=

               "]]}, "Charting`Private`Tag#3"]}}], {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[665, 3], 
             Rational[665, 3]}, "Axes" -> {True, True}, 
           "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {{{{}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.368417, 0.506779, 0.709798], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F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                    "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.880722, 0.611041, 0.142051], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxFl3k0VXsbxw8pupWpcjMlyRUl6kqG8mRKISVkqJAoV4jUW6FC5hLd3CJz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                    "]]}}]}, {}, {}, {}, {}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.560181, 0.691569, 0.194885], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   
                   Polygon[{{2.040816326530612*^-8, 0.999999994897959}, {
                    2.0408163265316807`*^-8, 0.999999994897959}, {
                    2.0408163265316807`*^-8, 0.999999994897959}, {
                    2.040816326530612*^-8, 0.9999999948979591}}]}}]}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.560181, 0.691569, 0.194885], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxdl3s4VPkfx8elRcq127juiIpCtZVb+YREkRJCRKEI2YhfhDSFpCxbcr+V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                    "]]}}]}, {}, {}}, {{}, {}, {}, 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.368417, 0.506779, 0.709798], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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                  "]]}, "Charting`Private`Tag#1"], 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.880722, 0.611041, 0.142051], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJwtlXk81fkaxw8p2izVNB3rPZVpKFS3UOKT1ChUV0grjVSuUFpu2eIU0crM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                  "]]}, "Charting`Private`Tag#2"], 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.560181, 0.691569, 0.194885], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJxV1fs31HkcBvDJ5WBtLqPSuKQpXdBtqy2q9RSJ0M2lUm5FJbU2lhOLtcq0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                  "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[665, 3], 
            Rational[665, 3]}, "Axes" -> {True, True}, 
          "LabelStyle" -> {
           FontFamily -> "Bitstream Charter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.560181, 0.691569, 0.194885], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.880722, 0.611041, 0.142051], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {{{{}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.368417, 0.506779, 0.709798], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F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                   "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.880722, 0.611041, 0.142051], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxFl3k0VXsbxw8pupWpcjMlyRUl6kqG8mRKISVkqJAoV4jUW6FC5hLd3CJz
EVGGiMo8y3iOeXbOPsfhjFslQnjd9a7354+9ztpr7bP37/f8nuf7/Xxlna6d
ceElEAiMlevfX2OXSVIVw0qnbw9tYXkZBz59Ca8xcTXQP+9SJ7hy/2dKXGKh
uAF8O/YqSHoJB5O2vvdJ4pbQuvc0WesXDtbOs+V/izsDydp4x82fOIyohOlH
id+AAxqpBRNTOKRuPRUaKR4MZXF1wvUUHAIFChUixGOBciLtlmMtDja2aXlT
X9Phcn7i0kQADhuWA88bbc8Dr59MNWk9HOTNuZO1D4vg8ejC5YE1ONxq14S4
6U+Qy9wUf7eSC78XiYzy8FTCSOg2D/o9LhRj+q0dh2vAlSE7T9DgQo1bkqQt
uw6+jKaN3PjKgR9/HBF659EIwTLBextyOcA7lyMsKd8MoXaGlbddOKC+7Fhs
kdsKmTJRpiI7ONAarNbeoNQBpRsIlluG2CATw5p7wyWC21lNre3RbGDNjo32
qHbCNhXBwwpGbEhnljYLPu6CakbV14lZFghKZ+I0WjfY8/MtNWex4NFfHy6n
7uqFZCvxoMYLLJg5mkNzvd8HV3eK5vJsYMGNA3VFYrX9MGBXH2NXxoSx3LqH
JNlBGIsdlgx1YcKCW3eCou8QaDIO60YLMmGPLv/S5dJh8Dga1NxeygCjl7JX
Cn4fBbVltZqDjgy4Je2wk3J+DM5dfFJIFGDAXrbVhr6TZDjYPvqXQcEkbBaa
EqibJ0NAfKC/4OlJ4KtMyJNLpIDeE7mIbd8n4Kpa6cB6EwweXDygXPxwAnJO
OKVWzGCgXpb966zcBPxgSQjTn1EB1+q/dLCSDh8sjNbEGtAg3e0y4cwpOtw/
HpJSRKdBn/onqXvUcZAdMe5/FTIOewy3u5z+zzhoHQqOFT9Ah4n2dk7UAg3O
b++Y4+miw4H6WeeoYBr8aI7CvAInYAtlOVJsiQpxfPY3zuyahIhyK/0KXyps
Hv3wkrduEtar16S3fMdg7d1AS01vBjTQj5n52GJAeGOfh4ky4W3GjursKgpc
f5EXJVrDhAvzXo7lQhQo3xMuIOLJAtlsk9I1lmQQMb6+N0iQDUZhgri70hgM
KxO77pSxIcjfYvGA4wjkJ8Mumj0HnNrk9370G4Lvvt/5L17kQK9geE2NzxCo
W2eyRi5x4J1nZ2rT1SEoFRIq7HPlwBluhVjDuSFoCBjVbbnOgY6t84Jh2kMw
5HTX4X0oB4pzxnZJzA/COoXSFwErfXk8OGXIyGcQLuSpi0gvcaCG5+b7exYD
UGz3U5BI4EKD6RUzvRMDILju88YHa7gw9URIblFnAKrOHxFgCHChSuy6vI3S
AOz8zWC5aDMXgoj2x9IIA0B3NueYKnJBQ6HgrXtOP3hKuH/xt+RC77euZK25
PmioV25UsebCwlRsbAmnD2S88TrMlgtarBfhu7E+IDZerzruwIVp0/Pj4819
cODmnZItblwQTojIaE7og9mO0Iy397nQKU6oktTug4CQtMDhbC745IrdzPfs
hU23+I0vvlv5foCLi75TL7xw9RCl53HBhMz62WDVC4Ummq/wIi58rH0NKYd7
gS5CquNdmfPgfU8iH6/vBZNkgoBiFxcetcloqqf2gFiJw+ObC1zIkNhFJ1Z0
w6us+rPziyv7EWVVLeZ1g+qLPTL3CTg4pAT9KZrWDSfuzuaFr8Wh5O87h6aC
usFfP5qUIISDn+OpWzcMuwHrqNhSI4eDT/Fcnmp9F7yblE4QNMUhREC2endO
J4QnhTiOmuGw9RT95M9/OsH5DEc+1xyHzF8Ti1EBnSBVVpZ/0hoHgrXCsbVW
nRAZfa7hkdOKrm6eT/o6T4LLBrUPz7vgMLgucKCKSgK9OSXzva44kNMjNhq1
kmDOaX6oxWNFR3u/UTwTSeCqHv/1tzs4LL9VrMA0SGDAIpQM+uFQKTkyvEOG
BDKprv7Z91bWryZ0ZpmPBL3rNfiNg3F4naCZ8riDCIYjvVIR0TjU0Oy4QQ5E
2Bm85Tj/axwszR4zd7e2w5KG/6a+LByISYpyv8LaYYBD7Xydg0PbVa8cI712
iLEuvHCsAIctt76dZha0gftGSTmxIhyyUq6t3XSlDY5XB02OF6/8P04gVkei
DZaVzviElOEQ831dvIFvKwyOfdKwqsRht06cXfMfrVAcK7u0qwaHluAJqCK2
gOfSVHhdIw5Pva9T5KRawLjQxiy2GQetp/4pouXNIO9atdm5DYfQ0K3hXnbN
MEyKTl7ThUO5nF8cX8QX+Bg6e6mrB4dknJprLf4FYrUdFF/1r6xHq++pSXoT
eE01cK8P4cDWzT65X7EJTDL2FemN4qDY30b+M7MR/rB7dkd0xZdYFTUbTaUb
gVdoSQej4hDf8zByX2QDjNa68L2n4/Dkr8KA/ex6+Hy77UsgA4dNcQLH5XTr
4ZnywWhzNg6xPo02/KF14I0lWsriODxP6yh5WVwLps/5JL5+XalXsW1iRmsN
7DZ1H6uaxmGq5PDP6fJq4OPpTo+ZxUFVJ5WbfrsKyB+03RzncRi/Z6f6LLcc
ytxeqagu4vCedLGgbOQjPJfZ8ONfnxbNsx0+dyoQ3WtLslv+IZDR84Y5tBDM
hIzet5Sxsf/0VTL6HokwIHjtARmtZ38W776652S0Xu/afUvv3pDRflx1eqhj
n8hov+qVTl51TWRUD1dFo81pvWRUvxMzgW4zOBnVd6ubeOXbBTKqP9+n10kj
6yjovJTe8FziSFLQeapuV3lAk6eg86Y8leWEqVBQv7iX74s/Z0FB/eRpboyx
LlFQv43xpuSyrlJQPxrNyHhU+lBQP0+f/fYo/AkF9TvRfpNzagoFzUPM+w7V
+68paF5KpOX7dd9R0Dy9olEes8coaN7ULS21bWcpaB6l6r7pvuHF0LyuS9ye
pSmAoXk+8tlo4fMmDOmD+aXyyMFDGNKPK50SbU0rvvt/fYnVntseYIUh/dFJ
2Vlmaochfeo7THop5IAh/cotjTqWkIIhfdv924alzHIM6V+M9tpzB1sxpI/C
zb64QxeG9LNq8J43txdD+ppmmhB8exBD+ns51LmXK0xF+uz8pmhbixIV6ffn
+mjDq4eoSN+zc4GZdYSK9P+uw0GoPUpF/iAtfDJtUJ+K/MPvpv1zlVtU5C8T
TP22umgq8p+9l8aSiAlU5E8SyRWRjWlU5F8x7B7rynQq8rd2ntnSokwq8r/O
9l2t3T1U5I8Fusz74mwq8s/skO7pjbNU5K/VOUeu+P2iIv/VMCMPqSxTkT97
0KTvYjw0xAep8eW2ks9oiB98NPTMpaTGEV9A/QhjKGkc8Ue6v0LX5AY64pOA
RS3t5jt0xC9dRfe+5GJ0xDfYFQsPDZ0JxD/imQmtYQkTiI9MA83nqjkTiJ8s
jxqWWepMIr7q4BNqPftkEvGX3Cf//ENDk4jPrlFjMKICA/Gbrl6ylK47A/Gd
ehzNQSafgfjvUBX/bOcMA/FhbUWCk4U6E/GjZ/vDprLbTMSXAYmvB0o/MxF/
pgbn8R+dYSI+DUoZlc1SYyF+DRjsaSd4sBDfatXvTLyYwUL8+8yPTyKBzEJ8
nOrbSdQUYyN+vhs255pvxkZ8LbLjeaByGBvxt72ySL/XZzbi85NKH+P9ptiI
33vd18hGynIQ3+c3DWScs+Ig/ldyk7S2ieCgfGCimO6b8nE1P6SeEjGJY67m
i78v7Jtev42L8gePRg2BaMhF+WQ6MNTp0H9W84uC2vYx05er+eZUzHfSInE1
/yz4hlyZXeaifJRVrTzZrrSanx7sT2Hvt1nNV116BLengav5a8bb4oRNzmo+
C9x2mBPft5rftBhB9QOs1Xz3fsJBaOrHav5z1xIm/ZxfzYdNZtXx/our+dF9
jbxNxdJqvnQxGFZ2WPGtSe//5U9ao97ivz72X7/HmuQ=
                   "]]}}]}, {}, {}, {}, {}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.560181, 0.691569, 0.194885], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  
                  Polygon[{{2.040816326530612*^-8, 0.999999994897959}, {
                   2.0408163265316807`*^-8, 0.999999994897959}, {
                   2.0408163265316807`*^-8, 0.999999994897959}, {
                   2.040816326530612*^-8, 0.9999999948979591}}]}}]}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.560181, 0.691569, 0.194885], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxdl3s4VPkfx8elRcq127juiIpCtZVb+YREkRJCRKEI2YhfhDSFpCxbcr+V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                   "]]}}]}, {}, {}}, {{}, {}, {}, 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.368417, 0.506779, 0.709798], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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                 "]]}, "Charting`Private`Tag#1"], 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.880722, 0.611041, 0.142051], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJwtlXk81fkaxw8p2izVNB3rPZVpKFS3UOKT1ChUV0grjVSuUFpu2eIU0crM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                 "]]}, "Charting`Private`Tag#2"], 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.560181, 0.691569, 0.194885], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJxV1fs31HkcBvDJ5WBtLqPSuKQpXdBtqy2q9RSJ0M2lUm5FJbU2lhOLtcq0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                 "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
        "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{
     GraphicsComplex[CompressedData["
1:eJxd1nk0lV37B/BjKHoqU6MpCRWFRmO5QqKICskQEiXJY8jbQBlCUqJSkTmU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      "], {{{}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklI6FpRuXktqlFXT87X7M8PCdex7PzA1G
YuFofCAQiOPf+10SIbr0v5zzmw1eOeaRWf5wyjOrvHDEHaOc8Yt1IjwwzQlP
rHBAjD5mCHPILcOs8YN7vr/tY5drOhlhimX2idLLEN9YZIcrPvOVSULscUMP
g0ywwDaXdNDNAOPMs8UF7bTRSgvNNNFIA/XUUUsN1QSpopIKPlFOGaWUUEwR
hRSQTx655JBNFh/JJIN00kglhWQ+kEQiCbz9+Qv9jDHHJj/5D1ohIRk=
            "]]}]}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.880722, 0.611041, 0.142051], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[CompressedData["
1:eJwt09N3FwAABeBfdmvZtbZsm4vb0rJrWVv2yVpt2bZt27bt/ou+Tj18577c
t3tuSExcdGzSQCCQhN//cwAdiKAe1ajI314ykpOClKQiNWlISzrSk4GMBJGJ
YDKThaxkIzs5yEkucpOHvOQjPwUoSAiFCCWMwhShKMUoTglKUorSlGEgHYmk
PtWpRFkG0YkoGlCDygylKy1pRG3KMZjONCecmlQhlm60ojF1KM8QutCChoyg
F22pxTB6EE1TqhJHd1ozmj40YSQxtGMs/ajLcHoynjaMoS8TacYoejOB9oyj
P5OowIHAv93f8JP7/OIV37nCa35wlxd85TT3eMk3LnGbZ3zmCJe5w3O+cILz
3OAxH9jPKS5yi6d84jDHOcd1HvGefZzkAjd5wkcOcYyzXOMh79jLHnazi53s
YDvb2MoWNrOJjWxgPetYyxpWs4qVrGA5y1jKEhaziIUsIJEE5jOPeOYyh9nM
YiYzmM40pjKFyRzkKGe4ygPeEuWgfwDK/2zs
            "]]}]}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.560181, 0.691569, 0.194885], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[{{234, 333, 332, 125}}]}]}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.560181, 0.691569, 0.194885], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU8MVP8AP0D1CxsLFb7EQMFBsbW+zu
dhSxUbHWDDys2edpz5w5J2b02FFjQgKBQJBCUg335WVOcpBcdpDGOMYzgXQm
MonJTGEqGUxjOjOYySxmM4dM5jKP+SxgIYtYzBKWsozlrGAlq8hiNWtYyzrW
s4GNbGIzW9jKNh6U73aKQ+xhJ4+5xhny2Uc2D7nCaQ6zl1084TpnOcp+tvOI
qxRwhDyecZPzHGc3T7nBOY7xgttc5ADPucUFXnGXE7zkDm+4xGvu8ZYcGrtZ
CgMZTg9G0J9k2jOAYXSjH4m0oDtxJNGWLvRlKE1pR1diSSCG1nSiN0NoRHPa
0Jk+xBNFNK3oSC8G05AG1KcedalDJLWpRU1qEEF1qlGVKlSmEuGEUZFQKhBC
MFj20P/EX/7wm1J+8ZMflPCdb3zlC5/5xEeK+UAR73lHE73NaEkHejKIkfwH
kCFuYQ==
            "]]}]}, {}, {}}, {{}, {}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          
          Line[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
           12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
            29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 
           45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 58, 53, 109, 
           92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93, 80, 70, 62, 
           49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 72, 55, 111, 94,
            81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113, 96, 121, 83, 
           118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 50}]}, 
         "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwNx8VRQwEAQMFPKfSTEyVQQKgAJ7g7wd2dIAGCu7u7d8Eedt685NS0lHBS
EARh0gmZBz1mgzjTjJNBJllkk0MueUTIp4BCiiimhFLKKKeCSqqopoZa6qin
gUaaiNJMC6200U4HnXTRTQ+99NHPAIMMMcwjJ2yyyAwTvHDODgnmGOGJU7ZY
IsYkr1ywywrzjPLMGdssM8s7V+yzxhRvXLLHKp/ccMgCH1xzwDd3rPPFLb8c
8cM9f4zxD7JgTqY=
           "]]}, "Charting`Private`Tag#2"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwNzFc3wgEAxuF/skfKlowSEdmbjIyM48ZH4J7vbWdmRM/Fc/E77zlv8vLm
4joUBMEVt5yLHZaYIs0wCe7s9zzwyBPPlHjhlTfe+eCTMl9888MvFf74J/Ab
ooYwtdRRTwONNNFMC620EaGdKDE66KSLbnropY9+dllmmjFGGKTAKjNkSBFn
jxVyjJPkgHXmmGSIfdaYZYIjNllglEM2mOeYPFmKbHHKIidsc8YAVTqgItY=

           "]]}, "Charting`Private`Tag#3"]}}], {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[665, 3], 
         Rational[665, 3]}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {{{{}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.368417, 0.506779, 0.709798], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F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                "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.880722, 0.611041, 0.142051], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxFl3k0VXsbxw8pupWpcjMlyRUl6kqG8mRKISVkqJAoV4jUW6FC5hLd3CJz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                "]]}}]}, {}, {}, {}, {}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.560181, 0.691569, 0.194885], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               
               Polygon[{{2.040816326530612*^-8, 0.999999994897959}, {
                2.0408163265316807`*^-8, 0.999999994897959}, {
                2.0408163265316807`*^-8, 0.999999994897959}, {
                2.040816326530612*^-8, 0.9999999948979591}}]}}]}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.560181, 0.691569, 0.194885], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxdl3s4VPkfx8elRcq127juiIpCtZVb+YREkRJCRKEI2YhfhDSFpCxbcr+V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                "]]}}]}, {}, {}}, {{}, {}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwtlXk81fkaxw8p2izVNB3rPZVpKFS3UOKT1ChUV0grjVSuUFpu2eIU0crM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              "]]}, "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJxV1fs31HkcBvDJ5WBtLqPSuKQpXdBtqy2q9RSJ0M2lUm5FJbU2lhOLtcq0
SnY6Jckt29BNmVqTsmRaWZ1aERJZkfl+G3P9frQbg9ZY++P+8Jz3ef6A9+vh
7v/G74AOi8WKmMx/1/uArPWxPNCVfuo2PjFBIIv9f9dztzrWx1kJcxu3JWGT
fcWVvMJKzkY4r6kOqtMS+Lzo/KWIE4AX3eySlHGCXZGaR+c5kbD8KlgxMkbw
dumP7tmceJhdFMcPDhGUTN926gwnAyFLTgT/qSRIN6xccJqTA2l1RGBJJ8Hu
oJ+Fgx9KMa7qOB9fTmA8kR7sOUsI/4SsV23pBPN2MLInWSKw9n9ac3U3wfFm
F+R9rMbDKxtceE4EliLz3ilTxFiRtqdpgkVQJXFvallXj08GBuFxbQzqo4us
g1QNoDiJVutLGQzN/8r0ztdPkehrN12UyEBntNzMet5zFBz+bELjxWDVRHiV
f0UTpDXm8gFrBk0ZK5sbHVuQkFaY7ErUsDunHL3JvERK6RdtznVqKDV9vR3L
2sC52O7H8NUoVdQ8N/mpHZppVbu5IWqY2F4nNP0KGtdQh3xHNc4evn+wxP41
bBs9AnvHVBheX05HpXXiQkZz8cFGFeKXN4hmPOkCx9TfU5yjQl9FQ1Yrtxv+
QTuTHUNV+BT9qsDhuz+xvaqs6/ECFZw2GGgP1vTg8uLpotUflfC8yj10z7IX
w6luO+NrlDhuGzanP7gPd4KneuTwlFikCjTu3PIOVnuz/6G3KWFhOmjYMPYO
aavXvSuZpoSeuEA4t7Aff1y0ddvSo8CRlTVvjHwksF8YGMcuVqB88/6SumEJ
2izytJVhCgwprcykuRRGZ7sZb7dX4L6/p27ORhrxsb/sS5bIkebFuyKS0jBu
JpmXBHJw33p3CXjvcXSh8kRKpBxrVmfkcJZL4dx1kXGdJUfwrJbRKe1SXCvu
3yzrlmHoebbkWPoA5tyYbfmYL0OeXmi8n70Mu1iPygM9ZbDovX9Vp0EGG/ey
kzraAeinpge4xMrxhBqvyy4fAOtmqFDCVuAvvVze93sHEJcvzGbXK+DvVZHQ
xRrAI6dMQ/MYJYZP5i6DQApz77hFJ0xUUA4uTzLylKJn8cv2pFoVkj0y2Lye
97hbDHs6VI2lwQcHA2PfI0S4ytxWq0bA9rv9N7Q0fuD9nN5zi4He2q2ZnXE0
ph438N53h0H/kgF22TEa+VFfs6VCBr8fOLI6NoZGpY+LgIgYCCZcN+hH05Ca
tzboiBnwZu4cs95Hw6eYZejQzqBZr5NibaMx40HYTwmfGDis82SfdaAhuPH7
zrFxBod9U8PnLaCxLN/JLm3yD6YWZYpr7WlsTtUIM/UJpMN03ns7Ginu/NYC
UwLDh2amdjNoSFrqptXPJbDR7dvkpEPjjsy2wMSXYONt0a+xXRQyi3jhvVsJ
ks5WBsV0UIj0U8+r2EFw9EjtmkNtFGxqa+9u2UXQGPHsuy1NFM7w9zae3U9w
ITK/Qy6mELXq8ofPkggavLintl6jsFHJetCdTPD5mQBPfQEFu5KolFvfE3RH
2TdVXaHw2sjZwDuDoMLo23yjyxQ83r62Oc0n+M1S4BadRWFOxjQvg2sEhUWK
24MxFLTOKVM7bxCYW6Q+wxEKb9RU27VJR1oehp05dYjCuV2VIZvuERjstawa
DaMw4ej3La920q2O9rSj2yl091U7B4oJqrNCy2J8KVTlcLX29QSsEM2iA14U
YrSDmQ1PCVrFX+ouXk+hp5VfrNtOULppzg8WSyk8PKWJaO8gGAlSlpQ6UshZ
G+Yg6CKYpTuyee58Cj5lS0RuvQR3MyO2UjYU5u/JTWL3E5hdeMnhzqSgY6p1
lVCTLurnO3lYUPg18cWzdDlBpE0kf6URhdzFX/J3qAhejvC3jehSiJUUBnAJ
wVO57aXzWgl8L+lZffhA0Lz+sM0/IxIs9D3a9/gjgZ8197Lj3xLoTXlVek5D
UH71dKKJWoJ399dGh086PT9hrku2VILaaMHSZZOOx124PhjTJ8ElO+Oh/3Yg
z0644vZrCf4FGnUu7A==
              "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->1,
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*StyleBox[\\\"f\\\",FontSlant->\\\"Italic\\\"]\\)(\\!\\(\\*\
StyleBox[\\\"q\\\",FontSlant->\\\"Italic\\\"]\\)) = \\!\\(\\*FractionBox[\\(1\
\\), \\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(q\\), \\(2\\)]\\)\"", {
       FontFamily -> "Bitstream Charter", FontSize -> 12, 
        GrayLevel[0], ScriptLevel -> 2}, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.3, 0.15}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
       "\"\\!\\(\\*SubscriptBox[\\(V\\), \\(0\\)]\\) \\!\\(\\*SuperscriptBox[\
\\(\[Alpha]\\), \\(1/2\\)]\\)\"", FontOpacity -> 0, StripOnInput -> False], 
       HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["\[Alpha]", HoldForm], HoldForm], HoldForm], TraditionalForm], 
     None}},
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[665, 3], 221.66666666666666`],
  LabelStyle->{FontFamily -> "Bitstream Charter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}, "AxesInFront" -> True},
  PlotRange->{{-0.06, 1.06}, {-0.075, 1.275}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{0, -1}, {0, 2}}], 
    LineBox[{{1, -1}, {1, 2}}], 
    LineBox[{{-1, 0}, {2, 0}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.933606729825605*^9, {3.933606769900775*^9, 3.933606958155503*^9}, 
   3.933606998209283*^9, {3.933607081813335*^9, 3.933607087692496*^9}, 
   3.933607130498529*^9, 3.933607779448473*^9, {3.933607869872229*^9, 
   3.9336078849239283`*^9}, {3.933607931901306*^9, 3.933607961549466*^9}, 
   3.9336080281379437`*^9, {3.933608405648792*^9, 3.933608419823503*^9}, {
   3.933608452793439*^9, 3.9336084729642363`*^9}, 3.9336085331002*^9, 
   3.933611252583295*^9, 3.933613165299885*^9, 3.933613226715407*^9, 
   3.933764511454769*^9},
 CellLabel->"Out[33]=",ExpressionUUID->"0bb4ebbd-525a-40a9-8738-739ec949f19e"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"phasesPlot3", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"Reverse", "@", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"VSAT", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}], ",", 
          RowBox[{"Vsh", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}], ",", 
          RowBox[{"Von", "[", 
           RowBox[{"f", ",", "\[Alpha]"}], "]"}]}], "}"}]}], "/", 
       SuperscriptBox["\[Alpha]", 
        RowBox[{
         RowBox[{"-", "1"}], "/", "2"}]]}], "/.", 
      RowBox[{"f", "->", 
       RowBox[{"Function", "[", 
        RowBox[{"q", ",", 
         RowBox[{
          FractionBox["1", "2"], 
          RowBox[{"(", 
           SuperscriptBox["q", "3"], ")"}]}]}], "]"}]}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"\[Alpha]", ",", "0", ",", "1"}], "}"}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"Prolog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"1", ",", 
            RowBox[{"-", "1"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"1", ",", "2"}], "}"}]}], "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "1"}], ",", "0"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"2", ",", "0"}], "}"}]}], "}"}], "]"}]}], "}"}]}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.06"}], ",", 
         RowBox[{"1", "+", "0.06"}]}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.075"}], ",", "1.275"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Epilog", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0.23", ",", "1.1716747792652888`"}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "0.0"}], ",", "1.1716747792652888`"}], "}"}]}], 
         "}"}], "]"}], ",", 
       RowBox[{"Line", "[", 
        RowBox[{"{", 
         RowBox[{
          RowBox[{"{", 
           RowBox[{"0.35", ",", 
            RowBox[{
             SqrtBox[
              RowBox[{"4", "/", "3"}]], "-", "0.06"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0.23", ",", 
            RowBox[{
             SqrtBox[
              RowBox[{"4", "/", "3"}]], "-", "0.06"}]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{"0.23", ",", 
            SqrtBox[
             RowBox[{"4", "/", "3"}]]}], "}"}], ",", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"-", "0.0"}], ",", 
            SqrtBox[
             RowBox[{"4", "/", "3"}]]}], "}"}]}], "}"}], "]"}], ",", ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*SubscriptBox[StyleBox[\"E\",FontSlant->\"Italic\"], \"gs\
\"]\)\>\"", ",", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
             RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], "]"}],
          ",", 
         RowBox[{"{", 
          RowBox[{"0.3", ",", "1.165"}], "}"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*SubscriptBox[StyleBox[\"E\",FontSlant->\"Italic\"], \"th\
\"]\)\>\"", ",", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
             RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], "]"}],
          ",", 
         RowBox[{"{", 
          RowBox[{"0.43", ",", "1.1"}], "}"}]}], "]"}], ",", 
       RowBox[{"Text", "[", 
        RowBox[{
         RowBox[{"Style", "[", 
          RowBox[{
          "\"\<\!\(\*StyleBox[\"f\",FontSlant->\"Italic\"]\)(\!\(\*StyleBox[\"\
q\",FontSlant->\"Italic\"]\)) = \!\(\*FractionBox[\(1\), \
\(2\)]\)\!\(\*SuperscriptBox[\(q\), \(3\)]\)\>\"", ",", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
             RowBox[{"FontSize", "->", "12"}], ",", "Black", ",", 
             RowBox[{"ScriptLevel", "->", "2"}]}], "}"}]}], "]"}], ",", 
         RowBox[{"Scaled", "[", 
          RowBox[{"{", 
           RowBox[{"0.3", ",", "0.15"}], "}"}], "]"}]}], "]"}]}], "}"}]}], 
    ",", 
    RowBox[{"FrameLabel", "->", 
     RowBox[{"{", 
      RowBox[{"\[Alpha]", ",", 
       RowBox[{"Style", "[", 
        RowBox[{
        "\"\<\!\(\*SubscriptBox[\(V\), \(0\)]\) \!\(\*SuperscriptBox[\(\
\[Alpha]\), \(1/2\)]\)\>\"", ",", 
         RowBox[{"FontOpacity", "->", "0"}]}], "]"}]}], "}"}]}], ",", 
    RowBox[{"Filling", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"1", "->", "Axis"}], ",", 
       RowBox[{"2", "->", 
        RowBox[{"{", "1", "}"}]}], ",", 
       RowBox[{"3", "->", 
        RowBox[{"{", "2", "}"}]}]}], "}"}]}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}], ",", 
    RowBox[{"ImageSize", "->", 
     RowBox[{
      RowBox[{"590", "/", "3"}], "+", "25"}]}], ",", 
    RowBox[{"AspectRatio", "->", "1"}], ",", 
    RowBox[{"FrameTicksStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"FontOpacity", "->", "0"}], ",", "Automatic"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{"Automatic", ",", "Automatic"}], "}"}]}], "}"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.933130807414353*^9, 3.933130962434251*^9}, {
   3.933131005229073*^9, 3.933131018221747*^9}, {3.933131931462623*^9, 
   3.933131931669272*^9}, {3.933132052815501*^9, 3.933132073576548*^9}, {
   3.933132385070485*^9, 3.933132391238607*^9}, {3.933310215384925*^9, 
   3.933310244866306*^9}, {3.933310477573464*^9, 3.93331050385329*^9}, {
   3.933310538394132*^9, 3.933310539489828*^9}, {3.93331836020802*^9, 
   3.933318384646273*^9}, 3.933318745493633*^9, 3.9333189419980288`*^9, {
   3.93331912047832*^9, 3.933319120748495*^9}, {3.93331922819624*^9, 
   3.933319265595239*^9}, {3.933319391840914*^9, 3.9333193986634607`*^9}, {
   3.933322780147758*^9, 3.933322780434679*^9}, {3.933324401253175*^9, 
   3.9333244045951653`*^9}, {3.933589826416069*^9, 3.933590173924115*^9}, {
   3.933590212798723*^9, 3.933590443751858*^9}, {3.93359048301801*^9, 
   3.933590484513767*^9}, {3.933593059622114*^9, 3.93359319361779*^9}, {
   3.933593626322722*^9, 3.933593657196583*^9}, {3.933593690285328*^9, 
   3.933593731264715*^9}, {3.933593915190445*^9, 3.933593969272739*^9}, {
   3.933602464515313*^9, 3.933602540756267*^9}, {3.93360613299465*^9, 
   3.933606134222437*^9}, {3.9336061689766283`*^9, 3.933606224842656*^9}, {
   3.933606363809283*^9, 3.933606364200634*^9}, {3.933606401660374*^9, 
   3.933606401753611*^9}, {3.933606434108914*^9, 3.933606435331141*^9}, {
   3.933606482589843*^9, 3.9336065245115*^9}, {3.933606920092268*^9, 
   3.9336069676366243`*^9}, {3.933607004235663*^9, 3.933607004771161*^9}, {
   3.933607091646841*^9, 3.933607122015457*^9}, {3.933607193627608*^9, 
   3.933607257084812*^9}, 3.933607807133163*^9, {3.9336078893197107`*^9, 
   3.933607889790084*^9}, {3.93360792641774*^9, 3.933607926512511*^9}, {
   3.933607956977976*^9, 3.9336079573292027`*^9}, {3.933608030708475*^9, 
   3.933608030768012*^9}, {3.933608090623929*^9, 3.9336080930224733`*^9}, {
   3.933608485817168*^9, 3.933608502511915*^9}, {3.9336085372578173`*^9, 
   3.933608716385428*^9}, {3.933608757467485*^9, 3.933608875774393*^9}, {
   3.933609200245283*^9, 3.933609209795951*^9}, {3.933611032376235*^9, 
   3.933611034487768*^9}, {3.933613171834357*^9, 3.933613173918364*^9}, {
   3.933613229602262*^9, 3.933613231296755*^9}, {3.933658996477151*^9, 
   3.933659027285872*^9}, {3.933764184016848*^9, 3.933764190652195*^9}, 
   3.933764531548313*^9},
 CellLabel->"In[34]:=",ExpressionUUID->"60fc774e-789f-47e9-995f-80fba0589db7"],

Cell[BoxData[
 TemplateBox[{
  "FindRoot", "precw", 
   "\"The precision of the argument function \
(\\!\\(\\*RowBox[{RowBox[{FractionBox[\\\"1\\\", \\\"2\\\"], \\\" \\\", \
RowBox[{\\\"Log\\\", \\\"[\\\", \
FractionBox[\\\"3999999999999999999999999999988000000000000000000000000000009\
\\\", RowBox[{\\\"\
1999999999999999999999999999998000000000000000000000000000000\\\", \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{RowBox[{\\\"-\\\", \\\"0.9999897857142858`\\\"}], \
\\\"+\\\", RowBox[{\\\"0.000030642857142857135`\\\", \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \\\"-\\\", \
RowBox[{\\\"0.000020428571428571424`\\\", \\\" \\\", RowBox[{\\\"Power\\\", \
\\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\
\"}], \\\"]\\\"}]}]}], \\\")\\\"}]}]], \\\"]\\\"}]}], \\\"-\\\", \
RowBox[{\\\"0.000010214285714285712`\\\", \\\" \\\", RowBox[{\\\"(\\\", \
RowBox[{FractionBox[RowBox[{\\\"2\\\", \\\" \\\", SuperscriptBox[\\\"V0\\\", \
\\\"2\\\"]}], RowBox[{\\\"1\\\", \\\"-\\\", \
FractionBox[RowBox[{\\\"2999999999999999999999999999997\\\", \\\" \\\", \
RowBox[{\\\"Power\\\", \\\"[\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \
\\\"\[RightSkeleton]\\\"}], \\\"]\\\"}]}], \
\\\"1000000000000000000000000000000\\\"]}]], \\\"+\\\", RowBox[{\\\"Log\\\", \
\\\"[\\\", RowBox[{\\\"1\\\", \\\"-\\\", \
FractionBox[RowBox[{\\\"1000000000000000000000000000000\\\", \\\" \\\", \
RowBox[{\\\"(\\\", RowBox[{\\\"1\\\", \\\"+\\\", RowBox[{\\\"Times\\\", \\\"[\
\\\", RowBox[{\\\"\[LeftSkeleton]\\\", \\\"2\\\", \\\"\[RightSkeleton]\\\"}], \
\\\"]\\\"}]}], \\\")\\\"}]}], \\\"2999999999999999999999999999997\\\"]}], \
\\\"]\\\"}]}], \\\")\\\"}]}]}]\\)) is less than WorkingPrecision \
(\\!\\(\\*RowBox[{\\\"20.`\\\"}]\\)).\"", 2, 34, 6, 23918575073640290210, 
   "Local"},
  "MessageTemplate"]], "Message", "MSG",
 CellChangeTimes->{{3.933589817359097*^9, 3.933589921739397*^9}, {
   3.933589974414402*^9, 3.933589990276414*^9}, {3.933590046563787*^9, 
   3.933590128753661*^9}, 3.9335901743737307`*^9, {3.9335902234007063`*^9, 
   3.9335903265132933`*^9}, 3.933590400596642*^9, 3.933590484823896*^9, 
   3.933593066530418*^9, {3.933593096618963*^9, 3.93359311962152*^9}, {
   3.9335931718922253`*^9, 3.933593193885065*^9}, {3.933593634713859*^9, 
   3.933593657618232*^9}, {3.933593691839456*^9, 3.9335937315550222`*^9}, {
   3.9335939314436703`*^9, 3.9335939695173492`*^9}, 3.933595352112041*^9, {
   3.933602458238138*^9, 3.933602541152406*^9}, 3.933606134597458*^9, {
   3.933606169759362*^9, 3.933606225201994*^9}, 3.933606364469584*^9, 
   3.933606401972956*^9, 3.933606435833246*^9, {3.9336065020498123`*^9, 
   3.933606524830101*^9}, {3.933606923657182*^9, 3.933606968034886*^9}, 
   3.933607005008314*^9, {3.933607092010663*^9, 3.933607122264621*^9}, {
   3.933607231288189*^9, 3.9336072573187447`*^9}, 3.933607807468174*^9, 
   3.933607890027107*^9, 3.933607926885668*^9, 3.933607957829265*^9, 
   3.933608031050617*^9, 3.933608093208263*^9, {3.933608486107229*^9, 
   3.933608502753908*^9}, {3.933608534605852*^9, 3.933608717070709*^9}, {
   3.933608771075454*^9, 3.933608876062777*^9}, {3.933609204711622*^9, 
   3.933609210024706*^9}, 3.9336112539398403`*^9, 3.933613174176502*^9, 
   3.933613231620327*^9, {3.933658998593507*^9, 3.933659027812423*^9}, 
   3.933764190931493*^9, 3.933764531880026*^9},
 CellLabel->
  "During evaluation of \
In[34]:=",ExpressionUUID->"3f1e63ad-98f0-4464-9bdf-6d9d8e725115"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{GraphicsComplexBox[CompressedData["
1:eJxF1nk01dv7B/AjlGTIkDKTSKXSJCqeK4pMTUpUROkKRVIiDYSkKFIpEqVR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       "], {{{}, 
         {RGBColor[0.368417, 0.506779, 0.709798], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklGaJpRuXktqlFXT87X7M8PCde17P3GAk
Fo7GBwKBOP693wURokv/yzm/2eCVYx6Z5Q+nPLPKC0fcMcoZv1gnwgPTnPDE
CgfE6GOGMIfcMswaP7jnO4vsck0nI0yxzD5RehniGyF2uOIzX5lkiT1u6GGQ
ibf9bHNJB90MMM48W1zQThuttNBME400UE8dtdRQTZAqKqngE+WUUUoJxRRR
SAH55JFLDtlk8ZFMMkgnjVRSSOYDSSSSwNufv9DPGHNs8pP/UlkhFQ==
            "]]]}, {}, {}, {}, {}, {}, {}, {}, 
         {RGBColor[0.880722, 0.611041, 0.142051], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[
           PolygonBox[{{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 
            10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 
            26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 
            42, 43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 
            58, 53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93,
             80, 70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 
            72, 55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113,
             96, 121, 83, 118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 
            50, 174, 233, 218, 231, 205, 232, 216, 229, 194, 217, 230, 203, 
            214, 227, 185, 204, 215, 228, 192, 201, 212, 225, 178, 193, 202, 
            213, 226, 182, 189, 198, 209, 222, 173, 184, 191, 200, 211, 224, 
            177, 181, 188, 197, 208, 221, 172, 183, 190, 199, 210, 223, 176, 
            180, 187, 196, 207, 220, 171, 170, 169, 168, 167, 166, 165, 164, 
            163, 162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151, 
            150, 149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 
            137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 175, 
            179, 186, 195, 206, 219, 125}}]]}, {}, {}, {}, {}, {}, 
         {RGBColor[0.560181, 0.691569, 0.194885], Opacity[0.2], EdgeForm[
          None], GraphicsGroupBox[PolygonBox[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU3vgEP0C/QFGxsLFb7EQMFBsbW+zu
DsRGxVoz8LBmP5yZM3Nmn5iRo1NHhQQCgSCXGcM9LnGCA+wmh7GkMY7xTCCd
iUxiMlOYSgbTmM4MZjKL2cwhk7nMYz4LWMgiFrOEpSxjOStYySqyWM0a1rKO
9WxgI5vYzBa2cr/8tpMcJJcdPOIqBRwhj208oJBTHGIPO3nMNc6Qzz6yecgV
TnOYvTzlBuc4xi6ecJ2zHOU5t7jAfp5xk/O85A7HecFtXnORV9zlDdtprLwU
BjKcHoygP8m0ZwDD6EY/EmlBd+JIoi1d6MtQmtKOrsSSQAyt6URvhtCI5rSh
M32IJ4poWtGRXgymIQ2oTz3qUodIalOLmtQggupUoypVqEwlwgmjIqFUIIRg
sOyh/4m//OE3pfziJz8o4Tvf+MoXPvOJjxTzgSLe844m9jajJR3oySDemv0H
LeJvLQ==
            "]]]}, {}, {}}, {{}, {}, {}, 
         TagBox[
          {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
           Opacity[1.], 
           LineBox[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
            11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 
            27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 
            43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 58, 
            53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93, 80,
             70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 72, 
            55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113, 96,
             121, 83, 118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 
            50}]},
          Annotation[#, "Charting`Private`Tag#1"]& ], 
         TagBox[
          {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[2], 
           Opacity[1.], 
           LineBox[{125, 219, 206, 195, 186, 179, 175, 126, 127, 128, 129, 
            130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 
            143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 
            156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 
            169, 170, 171, 220, 207, 196, 187, 180, 176, 223, 210, 199, 190, 
            183, 172, 221, 208, 197, 188, 181, 177, 224, 211, 200, 191, 184, 
            173, 222, 209, 198, 189, 182, 226, 213, 202, 193, 178, 225, 212, 
            201, 192, 228, 215, 204, 185, 227, 214, 203, 230, 217, 194, 229, 
            216, 232, 205, 231, 218, 233, 174}]},
          Annotation[#, "Charting`Private`Tag#2"]& ], 
         TagBox[
          {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
           Opacity[1.], LineBox[CompressedData["
1:eJwNzNc6wgEAxuF/9iqUTdJQyd5bIvvMJXQB3Le9idB78B78nu95vmTl+vIq
FARBhRuKYoVpMiQY49Z2xz0PPPLEMy+88sY7H3zyRZVvfqjxyx//BH5DNNBI
E8200Eob7XTQSRdhInTTQy9RYvTRzwCDDDHMPqvMMMkEcQ5YZ44cKUYoscYs
WZKU2WSBKcY5ZIN58hyzzRJpjthikVN2KXDCDucsc8YeF4xSB7WSIoc=
            "]]},
          Annotation[#, "Charting`Private`Tag#3"]& ]}}], {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {
         GraphicsComplex[CompressedData["
1:eJxF1nk01dv7B/AjlGTIkDKTSKXSJCqeK4pMTUpUROkKRVIiDYSkKFIpEqVR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          "], {{{}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.368417, 0.506779, 0.709798], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklGaJpRuXktqlFXT87X7M8PCde17P3GAk
Fo7GBwKBOP693wURokv/yzm/2eCVYx6Z5Q+nPLPKC0fcMcoZv1gnwgPTnPDE
CgfE6GOGMIfcMswaP7jnO4vsck0nI0yxzD5RehniGyF2uOIzX5lkiT1u6GGQ
ibf9bHNJB90MMM48W1zQThuttNBME400UE8dtdRQTZAqKqngE+WUUUoJxRRR
SAH55JFLDtlk8ZFMMkgnjVRSSOYDSSSSwNufv9DPGHNs8pP/UlkhFQ==
                "]]}]}, {}, {}, {}, {}, {}, {}, {}, {
             EdgeForm[], 
             Directive[
              RGBColor[0.880722, 0.611041, 0.142051], 
              Opacity[0.2]], 
             GraphicsGroup[{
               
               Polygon[{{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 
                10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 
                25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 
                40, 41, 42, 43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 
                89, 76, 66, 58, 53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 
                59, 54, 110, 93, 80, 70, 62, 49, 108, 91, 78, 68, 114, 97, 84,
                 60, 112, 95, 82, 72, 55, 111, 94, 81, 117, 100, 71, 115, 98, 
                85, 119, 102, 63, 113, 96, 121, 83, 118, 101, 123, 73, 116, 
                99, 122, 86, 120, 103, 124, 50, 174, 233, 218, 231, 205, 232, 
                216, 229, 194, 217, 230, 203, 214, 227, 185, 204, 215, 228, 
                192, 201, 212, 225, 178, 193, 202, 213, 226, 182, 189, 198, 
                209, 222, 173, 184, 191, 200, 211, 224, 177, 181, 188, 197, 
                208, 221, 172, 183, 190, 199, 210, 223, 176, 180, 187, 196, 
                207, 220, 171, 170, 169, 168, 167, 166, 165, 164, 163, 162, 
                161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151, 150, 
                149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 
                137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 
                175, 179, 186, 195, 206, 219, 125}}]}]}, {}, {}, {}, {}, {}, {
            
             EdgeForm[], 
             Directive[
              RGBColor[0.560181, 0.691569, 0.194885], 
              Opacity[0.2]], 
             GraphicsGroup[{
               Polygon[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU3vgEP0C/QFGxsLFb7EQMFBsbW+zu
DsRGxVoz8LBmP5yZM3Nmn5iRo1NHhQQCgSCXGcM9LnGCA+wmh7GkMY7xTCCd
iUxiMlOYSgbTmM4MZjKL2cwhk7nMYz4LWMgiFrOEpSxjOStYySqyWM0a1rKO
9WxgI5vYzBa2cr/8tpMcJJcdPOIqBRwhj208oJBTHGIPO3nMNc6Qzz6yecgV
TnOYvTzlBuc4xi6ecJ2zHOU5t7jAfp5xk/O85A7HecFtXnORV9zlDdtprLwU
BjKcHoygP8m0ZwDD6EY/EmlBd+JIoi1d6MtQmtKOrsSSQAyt6URvhtCI5rSh
M32IJ4poWtGRXgymIQ2oTz3qUodIalOLmtQggupUoypVqEwlwgmjIqFUIIRg
sOyh/4m//OE3pfziJz8o4Tvf+MoXPvOJjxTzgSLe844m9jajJR3oySDemv0H
LeJvLQ==
                "]]}]}, {}, {}}, {{}, {}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              
              Line[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
               11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26,
                27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 
               42, 43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 
               66, 58, 53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 
               110, 93, 80, 70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112,
                95, 82, 72, 55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 
               102, 63, 113, 96, 121, 83, 118, 101, 123, 73, 116, 99, 122, 86,
                120, 103, 124, 50}]}, "Charting`Private`Tag#1"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.880722, 0.611041, 0.142051], 
               AbsoluteThickness[2]], 
              
              Line[{125, 219, 206, 195, 186, 179, 175, 126, 127, 128, 129, 
               130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 
               142, 143, 144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 
               154, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 
               166, 167, 168, 169, 170, 171, 220, 207, 196, 187, 180, 176, 
               223, 210, 199, 190, 183, 172, 221, 208, 197, 188, 181, 177, 
               224, 211, 200, 191, 184, 173, 222, 209, 198, 189, 182, 226, 
               213, 202, 193, 178, 225, 212, 201, 192, 228, 215, 204, 185, 
               227, 214, 203, 230, 217, 194, 229, 216, 232, 205, 231, 218, 
               233, 174}]}, "Charting`Private`Tag#2"], 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.560181, 0.691569, 0.194885], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwNzNc6wgEAxuF/9iqUTdJQyd5bIvvMJXQB3Le9idB78B78nu95vmTl+vIq
FARBhRuKYoVpMiQY49Z2xz0PPPLEMy+88sY7H3zyRZVvfqjxyx//BH5DNNBI
E8200Eob7XTQSRdhInTTQy9RYvTRzwCDDDHMPqvMMMkEcQ5YZ44cKUYoscYs
WZKU2WSBKcY5ZIN58hyzzRJpjthikVN2KXDCDucsc8YeF4xSB7WSIoc=
               "]]}, "Charting`Private`Tag#3"]}}], {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
           "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
           "ImageSize" -> {
             Rational[665, 3], 
             Rational[665, 3]}, "Axes" -> {True, True}, 
           "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {{{{}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.368417, 0.506779, 0.709798], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F
llANRSJqbLdrK/tFrn25uJbr/r60jC28d57nff95z/Oc5zznPM95zuec53PO
UXL+zdJ1AY1G8xfqP9bMdYjNHLbW52zpn5mfJ/ifT/uvPFBc+u2f+P/7Upm2
HccPBqLAI3m7xizBa7ZTVkHnW/S82eXhOE0w4G+ncT+jEKIiTSl3Jgg09BOp
lMtMbLI41838SjCWt3vya+F7WDwQlRsfJ3ieaxuXWs3CBW6clRIheJBUl/ck
twT3t+6MOjxKEO1TcUwspBR/Xa75GDhMsDxG3FTZoAxdJa6ir3kEd89kB/w0
WoYFEnP63D6Ch59uhW8LL8cGu/tXpHoJ+EWsZRYKFTBP3ZZj2EWg1lLTs+NZ
BbzGyinvdoJRg7T9P6l9QPQuB7XkFoJ6Pc4985QPeBsycarxE0E86cuwkf2I
DnZU/MJGgkLlazGiYR+h6s5c6VJDEBKyKtTLrhJm2ccORFcS6N3zS5AqrITn
3FhoaQXBvQvevcprqpAbrTSnwiKoYgyCWV+Ftu53OtbFBJv0Y+wqN1RjfrOl
T3ABwZ0vix8aX62G6fugoYFcIZ4Y8Wh9uRqcWyavLJMjnFfCb4uWn67BHZvs
E3uzCKR9Px8ayapBq6Cv4Wk6Qc1Zr3QTw1rM6fgt5zwX5j9WU/5+sxbrGdKm
Yk8JrA5EjmyqrsWezuY1YVEErH47KsihHs1LdMTMGARPY3UTIuvqoZjo7pfm
T3BNS8JyXpQNYz4tr+0aQbF8Z8c6RTbctR+O/3CFYP6FWhFXh40p5+n2qvME
nc2fez3j2DCc2nxY3Z2gJyVsmUk1G27GJbfsXQnaFge2MvvYCI86Xn7bmUB0
5fTj8Wk21hQUvNpvI+Sbzca9i6wb4GIpUM04TPDs++BsREADQh8HO3YdIFh1
kLd/8t8NeDmkEEu3IAgWV3q/Kb0B3LoiaZYygU/uVKZGWSP8jKLYsRJC/I4H
fS/uacK+6xOZoYsI8v648vNYUBM0Hm1RvEEjcEgI2iGV1ITk52VHp2cpNEvx
mbOZTZDJc4i8NEMhVU6FV1/UBPN4mrhaI4XbNYq62omfwJNkly4opsDYdjc8
ckkzss11k0kOhbclT5GwuxmP3M9L8TIpmPfwJ8utm7HcV8zM6SUFnQBXVyPn
ZgQEJwV2pFHwyZC59MqzGRN1IakvblBokKUx5XdxoHnpSp60B4UVsWGplbEc
1Fd4M00dKHy1sB8YqORA8QIp5dpS0OM/Ct3E5aC8bGvFdhsKM2PR0XkCDjzl
zn30sxL287kxXm+KA57LYYGFmrD+xqwX59JbsP4H4/mclRSC6k/uTaK1gmn/
i/iwOAWmjLfqsc2toC/+a9nvCymM3ZVQntVvRa7dJL2eRqHc4vQBw32tOJGp
LakwJwBL5NJr/yOtWLwx/1FAhgCmjIR2E582tDtfd3gdIkBuereK3HQbygO6
DKq8BahbNU2/uasd+RIS2Rx3ASypIpny4+3QtnnG7zwlwEvPhsQPZ9vx5eoX
MScnAZrpoSyWTztexUOl/6QAzjWq6m+vtaNja33jlYJRBPkdmdV07ISkmbd6
EH0UJjfp5NzmbhRuCRWX9ORDKc08f6FVD7wfZUZIsUZwYtrLsVCiF7Q/T2Zy
pUbwInXd+zRmLxZdD7TSvTCMct7eAz62XKzsevNkQekQlmizUqq+cBEjevKi
pcoQwgqtjYqu9uFbZQTXK3AQ0r3z4TJzfbBfWzcl0siDZtmESwSjH3o/M6Jl
NXkYrK0VRMz0Q6nTrCU5eABb9qx1PfSvAdwwDU7I4fWDo/1ujX/fAN4cMVkY
bdyPFA83muVBHr7x5Vbw7veB6LWc2lnMQ/o+58Siv7nQLkj7flR5EGe18luX
mHPxu5Pm1txbgxAtjs1UjuuF4V3lsNVfBrFSYky8dLoHAQ8D/eiHhqA+ar2U
s78HO2u7zhhnDcFXwWF9r303jjvdza4XH4bJE6XTWT92QWtei7XTcRhbDMTm
3PI7cP7XoMra/GHMeDTFql1th+7wboMo+gi6M0pvsZXa0B3dIR/iOoKLmqU5
MiUtaLUru2NXMIK/f03vd7/Bwdn1UhkiS/m4feaNW6JKM+KtZYMqTvBBV3hG
+vubcFJMdK7yOR8pI/mV9MhGvB9mjg9O8MGf6O76pNGA1dvpuzeajELxDn/q
T6oeHkd19dZGjaKaoVVbvrkO+UtpVtLto9Ced8w9klGNZ4oRFpLrBFgwlb5C
XrUSIXZ7ii+7CvBtwy8SL89XgKHIUC8X8pTl8VjedrQUH7uSOi+OC3nKNaqu
282C+7DSNE2Hwo85kl0iIsXoDFl9nudPwbdWFzFf3yFjZPnD68K9Vz1MDZXc
ykFk14xb60KCpfOB9iZrM+E1OaKlYEhwzDYpc2w8BW6v4uYGAwgCxbM3hslG
o3dfkq9jCUHiqoMh4bIMFMSUrigT/qnO7TeNImQvQlMnMWtwjMDGZaLwD1kX
sG3M1l2aJDCv4bx+LGuFavVDPXrfCXYkxMRlyxrj897kIIU54R01kvPqltWC
kb1rKV34p/8DUtAShw==
                    "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.880722, 0.611041, 0.142051], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxFl3k41OsbxgmRQiSFhOxRJAmV51iKbJVIVLaTki1bKVEIoZBypMgS2hRZ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                    "]]}}]}, {}, {}, {}, {}, {}, {
                EdgeForm[], 
                Directive[
                 RGBColor[0.560181, 0.691569, 0.194885], 
                 Opacity[0.2]], 
                GraphicsGroup[{{
                   Polygon[CompressedData["
1:eJxFl3k8Vfkbx61llyUi+0QK0WYZ8YxoyDZplNFCVDO6ZEvJlrmiEVmTlCXR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                    "]]}}]}, {}, {}}, {{}, {}, {}, 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.368417, 0.506779, 0.709798], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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                  "]]}, "Charting`Private`Tag#1"], 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.880722, 0.611041, 0.142051], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJwVlHk41XkDxa0R2UVIXIMUojKWUc6IXiK9wyijhRiVriVKiWG8CmlByajJ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                  "]]}, "Charting`Private`Tag#2"], 
               Annotation[{
                 Directive[
                  Opacity[1.], 
                  RGBColor[0.560181, 0.691569, 0.194885], 
                  AbsoluteThickness[2]], 
                 Line[CompressedData["
1:eJwVkXtcDPgCxafXVXqMHrRDj1sUEbq7pJZx1taVXh6JWCpKe1trlbaV0ZCx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                  "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
          "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {
            Rational[665, 3], 
            Rational[665, 3]}, "Axes" -> {True, True}, 
          "LabelStyle" -> {
           FontFamily -> "Bitstream Charter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.560181, 0.691569, 0.194885], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.880722, 0.611041, 0.142051], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {{{{}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.368417, 0.506779, 0.709798], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F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                   "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.880722, 0.611041, 0.142051], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxFl3k41OsbxgmRQiSFhOxRJAmV51iKbJVIVLaTki1bKVEIoZBypMgS2hRZ
Uh3bmCzHbmxD9lkxZr4zyk9R/Ob80Xv+mGuu97q+M9/3fd7nue/Preh52d5r
DQ8Pzwz38++3ldc0ATfjaEzUpCyvrmLAbyYTOCGtB2ZnvRpFueu9uZnZFdLm
MH+kIEZuBQPrTmL5U2kH6NA6Pmn0EwOn84u1D6TPA8HJSuHKdwzGtO+YJUuH
gq5BXhmdjUHe5mPxSdKxUJPZuLFpCoNooQq1ROl0mDqaH+b+GYPTzvmlbE4h
XHiXvUKPwmD9avRZi+2lEPh9Vk/OFAOVE6zpz3crIWV8+cIwHwZhXYaQ+e0T
lMyKPI6sZ8GWSvFxXt56GIvf6k+7yYIqkllH90E8eM8oLvEYsADv81TWea4R
Wsfzx0I5TFhQPST21r8FYuVjtZpLmLDmR/FGWZU2iHc5XH/Niwn6q+5VJ0s6
4IV8so24AhM6YvW6mnd2Q/V6HgfJkTmQv8/48YrVAz6nDI22p84BY3FifECn
F7Zqix5Us5iDwtnqNtGUPmiYwXHoiwwQlXuBUSj94CrIv9L2kgH3Lr2/kKc8
CDmO0jEt5xjwvz+KKd63iOC7Q6KEdz0DQnUbK6U+D8GwS9N9l5pZmChpvEtQ
/AIT6aOy8V6zsOzTn6URPgKGMwdNUkVnQdNEcOVC9Sj4/xHT1lU9AxbPFC+W
bRkHvVU9/D73GQiTc9sxdXYCznikVfQIzYDWnON6ou0k7Osav2ReNg2bxNhC
jUuTEPU4OkL0+DTw12eVKmVPgWmaUuLWr3Tw1aseXmdNgtseuruq7tKh+Khn
Xt3/SKBf8/rnKSU6LDBkNtIyyIAZDf25r54G709a8KWbU6DQ5wKP/TEa3LKM
y62kUYCo/2nbTTIVFMeshgriqKB5eLvX8atUMNofmy6tSwN6VxczeZkCZ7d3
/+Dto4Fu0+L55FgKLLQlkwKj6SA5tZoktUKGTH7XUHvlaUisdTSrCyfDpvH3
z9Y0TsM6fXxh+1cSCERGOxgGzUAz7YhdiDMJeF65lpIkZuFNkULDa9wUBD8p
TZbAz8K5pUD3WrEpqNVMEBIPYIDia+tqPodJELcK1ooRnQOLO6KY384JGN3V
03e9Zg5iIk7+0nUfg3c5oExxZYJnp4rWxxsj8DX8q6CHBxMGRRPw+JAR0Hd6
wRj7kwlvA3rz/vEdgWoxsQqiNxPsWXVSzWdGoDlq3KQ9mAndm5dE7xwYgRHP
SLfyeCZUFU8oyyx9gbVq1U+iuH1pGZs7YhHyBc6V6ovLrTABz3ul/ObJYahy
+S7aw8OCZpuLdqZHh0F07d8bbvOxgJ0mpvTLeBhwZw8JzQixACcVrHJ65zDs
EDZfrdzEgpge1yP5PMNAO3+CaaPBAgO1sjd+xUMQIOPXGuHAgsH5vhyjH0Ro
btrVou3EgmV2evoHJhHkg7BGkjMLjBhPEtRJROhpCcZZurHgm81ZKrWNCLpX
rn+Q9GHBxqzEorYsIix2xxe9ucWCXmkenOwBIkTF5UePvmZBSInUlXcBgyAS
Jmjl8Zb7/igvLzPPQXji7S9BK2WB9STje7PjIFRYGxZglSz4+Pk55B4cBJo4
oXENd85jd6clpawbBOscHiGNPhbc65Q31M8bAKkPbilXlllQJKNM66nrh4KX
TaeWfnHPI8HA/SrtB50nmvK3eDBwy43ZK5HfD0cjF0sTBDD48OD6fnZMP0SY
pRKyxDC44X4sLPRwP5C66yTxShiEVP0o1Wnqg7fTclmiNhjECSk2qBf3QsLT
OPdxOww2H6PZfv+rF87bM1VKTmDw4if9V3JUL2yrqXln64QBj5PaEQHHXkhK
PdN8z5Orq5uWnnKWCHDB/PPds14YfFkbPYwjE8D0x84TWt4YTBYmbrDoIMAP
z6WRdn+ujg7OTwVkE8Bb/zFH+DoGq2806kgGBDBn8Hz4cgODetmxUQV5Asjn
eUe8vsndv56Y/So/AQbXGQhaxWLwPMswN6W7Bw6PDW5LTMUAT3Fhxbj1wI5Y
SUvB5xg42KXMqnd0wYpBhAjxJQY9TzWUft7pgmEmufd5MQadvoHFFqZdcN+p
4tyRMgwkw+aPz5Z1gt8GWSWpSgxe5l4WELnYCZYNMdPUKu7vM4XSjWU6YXWn
fUhcDQb3v659bB7eAV8mPhk41mOgbpzp0qbaAVXpiivKeAzaY+mA62mHgBV2
QmMLBg+DgqeUtrWDVcVpu/Q2DIweRuRK1LaBijdu0/lODOLjNycEurTBKCE1
h68Pg1qlG5n8ia3wMX7xz74BDHIwcomTdCukH3DTKBji7seI+NC68B8IZDez
gkcwmDN5bbtH4x+wLtpdaTqOgcZQ5+TeFy2g6pJxXYLrS4w6/AYbuRZYI7Zi
TCJj8HjgbtLupGYY/+zFX07DIO1SRdSeuSb4+1pna/QMBiKZQpZKJk2QsWtf
6ok5DNJDWk4LxjdCECnbQRHD4FF+94dnVZ/B5hG/DIfDrVeVc3ZRBx7Ubfwm
cN8wYH84+P1bbQPw8/YX3l/EQMc4j1V4DQeT7w/4uC9hQL3popNRUgs1PgXa
Or8wKCd4lNWMfYRH8usX/vVpiVLn0TPHotGaT5B1yCGchJ6/aJEtZUEgof9z
fsfa9WCBhN73YP/+e77iZLSfa08e0KnqZLRf44E/VP46REbnqdho7mN5nPzf
eX0iGsM9yP/Vw8fAIyKIjOonoPCItzaFjOp72WjTbrNsMqq/2xIfaL8io/v6
uXBTIbqBjO6zQ7lxZk0nGd33/jeJ65SHyKhfeKp8HsTwUlA/FWX97H8mSUH9
9rZ7wW9CjoL6sfmNr+qMKgX1c1DNU5LtUQrq9/KfB0cfOlPQPAQEOtXHeFDQ
vExsPrXjxCUKmqfguGd+vQUUNG8SsW6t43UUNI9W5pb9rHYKmlehnEt/neml
oHm2TUpiVQ1RkD74uv2scllHRfrR9mXI2lWBivSlmjh1MUOTivSHfNVESnEP
FekTyTcyOU+fivRreSjaWz2aivTt7wGTPSMFVKR/+ToiEy8rqUgfP9avmmI1
VKSf1NCdecINVKSvnPiRcYUmKtLfy+pCm/j5aUifZ3QqIicVaUi/7z67URqq
Q0P6zri9K+LVfhrSf80GhwrjAzTkDw+qB2N6jGnIP+JUBzylwmnIX8JUJtSv
Z9CQ/5xzJAp7FtKQP/WsFdE+XExD/nXuYWd8eQkN+VuYmqqUXDkN+d+JA+vH
3Og05I9bWp6HSfHSkX9u1enOqRahI39NlkvV5JWkI/81uFBfr7CFjvw5xfig
gbEMHfGBgJ2wllcTHfHDL1HcDkX3acQX2sIDe78uTCP+uBwYFL72ygzik5Sx
6Vj61xnEL8231+xe6z+L+MbKdS//p8FZxD8JzmotYaYMxEdTOGF/n3wG4ice
/8fqoSsMxFflhvintq5ziL9knw87ZVfMIT4ji93ZIraBifjNTVj4/eYzTMR3
pya2tYS8YiL+8zQL8tyyzER8ONcaV+JjzkL8uCHzoZ5MGgvxJdn647zdGAvx
pxXRQUtoB4b4NLAusnWLD4b4VeQqflGNO6e/+XbPxj0JJlwd+s2/HLNJE/ut
bMTH2gYKHhb72YifLTWt6yad2IivmxIDRyOvsRF/mwkX50plsBGf2w7g5a3e
sxG/4/cdaM8msBHf31LdWHQHYyP+LxXn87srwkH5QNVTQYuozkH5YVjgkmzZ
YQ7KF8sto51MNw7KH+PpkoZnwjkon7B9ec/bZnBQflnqbxJvKOWgfENYEydb
1cZB+WfZkiM5QOWgfKSrr6CVtsJB+cnsgKVP09Z5lK/Wv6hPe6Uzj/KX3XZF
mRbLeZTPxBLGDzt4zqP8NuTaulMgYB7luywDJ5GhkHmU/4wDPsjhrs6jfKi4
Xaxr77V5lB+bOMfvM7nr3/lSb/S7r9X1efidP3HOy2YvuOv/A96JdnM=
                   "]]}}]}, {}, {}, {}, {}, {}, {
               EdgeForm[], 
               Directive[
                RGBColor[0.560181, 0.691569, 0.194885], 
                Opacity[0.2]], 
               GraphicsGroup[{{
                  Polygon[CompressedData["
1:eJxFl3k8Vfkbx61llyUi+0QK0WYZ8YxoyDZplNFCVDO6ZEvJlrmiEVmTlCXR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                   "]]}}]}, {}, {}}, {{}, {}, {}, 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.368417, 0.506779, 0.709798], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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                 "]]}, "Charting`Private`Tag#1"], 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.880722, 0.611041, 0.142051], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJwVlHk41XkDxa0R2UVIXIMUojKWUc6IXiK9wyijhRiVriVKiWG8CmlByajJ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                 "]]}, "Charting`Private`Tag#2"], 
              Annotation[{
                Directive[
                 Opacity[1.], 
                 RGBColor[0.560181, 0.691569, 0.194885], 
                 AbsoluteThickness[2]], 
                Line[CompressedData["
1:eJwVkXtcDPgCxafXVXqMHrRDj1sUEbq7pJZx1taVXh6JWCpKe1trlbaV0ZCx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                 "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
        "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{
     GraphicsComplex[CompressedData["
1:eJxF1nk01dv7B/AjlGTIkDKTSKXSJCqeK4pMTUpUROkKRVIiDYSkKFIpEqVR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      "], {{{}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.368417, 0.506779, 0.709798], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[CompressedData["
1:eJwt0VVTFAAUBeClpKUbgaUbQRqklGaJpRuXktqlFXT87X7M8PCde17P3GAk
Fo7GBwKBOP693wURokv/yzm/2eCVYx6Z5Q+nPLPKC0fcMcoZv1gnwgPTnPDE
CgfE6GOGMIfcMswaP7jnO4vsck0nI0yxzD5RehniGyF2uOIzX5lkiT1u6GGQ
ibf9bHNJB90MMM48W1zQThuttNBME400UE8dtdRQTZAqKqngE+WUUUoJxRRR
SAH55JFLDtlk8ZFMMkgnjVRSSOYDSSSSwNufv9DPGHNs8pP/UlkhFQ==
            "]]}]}, {}, {}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.880722, 0.611041, 0.142051], 
          Opacity[0.2]], 
         GraphicsGroup[{
           
           Polygon[{{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 
            11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 
            27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 
            43, 44, 45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 58, 
            53, 109, 92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93, 80,
             70, 62, 49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 72, 
            55, 111, 94, 81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113, 96,
             121, 83, 118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 50, 
            174, 233, 218, 231, 205, 232, 216, 229, 194, 217, 230, 203, 214, 
            227, 185, 204, 215, 228, 192, 201, 212, 225, 178, 193, 202, 213, 
            226, 182, 189, 198, 209, 222, 173, 184, 191, 200, 211, 224, 177, 
            181, 188, 197, 208, 221, 172, 183, 190, 199, 210, 223, 176, 180, 
            187, 196, 207, 220, 171, 170, 169, 168, 167, 166, 165, 164, 163, 
            162, 161, 160, 159, 158, 157, 156, 155, 154, 153, 152, 151, 150, 
            149, 148, 147, 146, 145, 144, 143, 142, 141, 140, 139, 138, 137, 
            136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 175, 179, 
            186, 195, 206, 219, 125}}]}]}, {}, {}, {}, {}, {}, {
         EdgeForm[], 
         Directive[
          RGBColor[0.560181, 0.691569, 0.194885], 
          Opacity[0.2]], 
         GraphicsGroup[{
           Polygon[CompressedData["
1:eJwt0tVSFQAUBdB7EcHEwFYU7O5CTCRU3vgEP0C/QFGxsLFb7EQMFBsbW+zu
DsRGxVoz8LBmP5yZM3Nmn5iRo1NHhQQCgSCXGcM9LnGCA+wmh7GkMY7xTCCd
iUxiMlOYSgbTmM4MZjKL2cwhk7nMYz4LWMgiFrOEpSxjOStYySqyWM0a1rKO
9WxgI5vYzBa2cr/8tpMcJJcdPOIqBRwhj208oJBTHGIPO3nMNc6Qzz6yecgV
TnOYvTzlBuc4xi6ecJ2zHOU5t7jAfp5xk/O85A7HecFtXnORV9zlDdtprLwU
BjKcHoygP8m0ZwDD6EY/EmlBd+JIoi1d6MtQmtKOrsSSQAyt6URvhtCI5rSh
M32IJ4poWtGRXgymIQ2oTz3qUodIalOLmtQggupUoypVqEwlwgmjIqFUIIRg
sOyh/4m//OE3pfziJz8o4Tvf+MoXPvOJjxTzgSLe844m9jajJR3oySDemv0H
LeJvLQ==
            "]]}]}, {}, {}}, {{}, {}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          
          Line[{1, 104, 87, 74, 64, 56, 51, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 
           12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28,
            29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 
           45, 46, 105, 88, 75, 65, 57, 52, 47, 106, 89, 76, 66, 58, 53, 109, 
           92, 79, 69, 61, 48, 107, 90, 77, 67, 59, 54, 110, 93, 80, 70, 62, 
           49, 108, 91, 78, 68, 114, 97, 84, 60, 112, 95, 82, 72, 55, 111, 94,
            81, 117, 100, 71, 115, 98, 85, 119, 102, 63, 113, 96, 121, 83, 
           118, 101, 123, 73, 116, 99, 122, 86, 120, 103, 124, 50}]}, 
         "Charting`Private`Tag#1"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.880722, 0.611041, 0.142051], 
           AbsoluteThickness[2]], 
          
          Line[{125, 219, 206, 195, 186, 179, 175, 126, 127, 128, 129, 130, 
           131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143, 
           144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 
           157, 158, 159, 160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 
           170, 171, 220, 207, 196, 187, 180, 176, 223, 210, 199, 190, 183, 
           172, 221, 208, 197, 188, 181, 177, 224, 211, 200, 191, 184, 173, 
           222, 209, 198, 189, 182, 226, 213, 202, 193, 178, 225, 212, 201, 
           192, 228, 215, 204, 185, 227, 214, 203, 230, 217, 194, 229, 216, 
           232, 205, 231, 218, 233, 174}]}, "Charting`Private`Tag#2"], 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.560181, 0.691569, 0.194885], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwNzNc6wgEAxuF/9iqUTdJQyd5bIvvMJXQB3Le9idB78B78nu95vmTl+vIq
FARBhRuKYoVpMiQY49Z2xz0PPPLEMy+88sY7H3zyRZVvfqjxyx//BH5DNNBI
E8200Eob7XTQSRdhInTTQy9RYvTRzwCDDDHMPqvMMMkEcQ5YZ44cKUYoscYs
WZKU2WSBKcY5ZIN58hyzzRJpjthikVN2KXDCDucsc8YeF4xSB7WSIoc=
           "]]}, "Charting`Private`Tag#3"]}}], {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{-0.06, 1.06}, {-0.075, 1.275}}, 
       "Frame" -> {{True, True}, {True, True}}, "AxesOrigin" -> {0, 0}, 
       "ImageSize" -> {
         Rational[665, 3], 
         Rational[665, 3]}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> 1, "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {{{{}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.368417, 0.506779, 0.709798], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxdVXk41XkXv0rRVFckE5KESqmMZFDjM5YitIlEyhKSyoh6tUiYSyjU5C1F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                "]]}}]}, {}, {}, {}, {}, {}, {}, {}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.880722, 0.611041, 0.142051], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxFl3k41OsbxgmRQiSFhOxRJAmV51iKbJVIVLaTki1bKVEIoZBypMgS2hRZ
Uh3bmCzHbmxD9lkxZr4zyk9R/Ob80Xv+mGuu97q+M9/3fd7nue/Preh52d5r
DQ8Pzwz38++3ldc0ATfjaEzUpCyvrmLAbyYTOCGtB2ZnvRpFueu9uZnZFdLm
MH+kIEZuBQPrTmL5U2kH6NA6Pmn0EwOn84u1D6TPA8HJSuHKdwzGtO+YJUuH
gq5BXhmdjUHe5mPxSdKxUJPZuLFpCoNooQq1ROl0mDqaH+b+GYPTzvmlbE4h
XHiXvUKPwmD9avRZi+2lEPh9Vk/OFAOVE6zpz3crIWV8+cIwHwZhXYaQ+e0T
lMyKPI6sZ8GWSvFxXt56GIvf6k+7yYIqkllH90E8eM8oLvEYsADv81TWea4R
Wsfzx0I5TFhQPST21r8FYuVjtZpLmLDmR/FGWZU2iHc5XH/Niwn6q+5VJ0s6
4IV8so24AhM6YvW6mnd2Q/V6HgfJkTmQv8/48YrVAz6nDI22p84BY3FifECn
F7Zqix5Us5iDwtnqNtGUPmiYwXHoiwwQlXuBUSj94CrIv9L2kgH3Lr2/kKc8
CDmO0jEt5xjwvz+KKd63iOC7Q6KEdz0DQnUbK6U+D8GwS9N9l5pZmChpvEtQ
/AIT6aOy8V6zsOzTn6URPgKGMwdNUkVnQdNEcOVC9Sj4/xHT1lU9AxbPFC+W
bRkHvVU9/D73GQiTc9sxdXYCznikVfQIzYDWnON6ou0k7Osav2ReNg2bxNhC
jUuTEPU4OkL0+DTw12eVKmVPgWmaUuLWr3Tw1aseXmdNgtseuruq7tKh+Khn
Xt3/SKBf8/rnKSU6LDBkNtIyyIAZDf25r54G709a8KWbU6DQ5wKP/TEa3LKM
y62kUYCo/2nbTTIVFMeshgriqKB5eLvX8atUMNofmy6tSwN6VxczeZkCZ7d3
/+Dto4Fu0+L55FgKLLQlkwKj6SA5tZoktUKGTH7XUHvlaUisdTSrCyfDpvH3
z9Y0TsM6fXxh+1cSCERGOxgGzUAz7YhdiDMJeF65lpIkZuFNkULDa9wUBD8p
TZbAz8K5pUD3WrEpqNVMEBIPYIDia+tqPodJELcK1ooRnQOLO6KY384JGN3V
03e9Zg5iIk7+0nUfg3c5oExxZYJnp4rWxxsj8DX8q6CHBxMGRRPw+JAR0Hd6
wRj7kwlvA3rz/vEdgWoxsQqiNxPsWXVSzWdGoDlq3KQ9mAndm5dE7xwYgRHP
SLfyeCZUFU8oyyx9gbVq1U+iuH1pGZs7YhHyBc6V6ovLrTABz3ul/ObJYahy
+S7aw8OCZpuLdqZHh0F07d8bbvOxgJ0mpvTLeBhwZw8JzQixACcVrHJ65zDs
EDZfrdzEgpge1yP5PMNAO3+CaaPBAgO1sjd+xUMQIOPXGuHAgsH5vhyjH0Ro
btrVou3EgmV2evoHJhHkg7BGkjMLjBhPEtRJROhpCcZZurHgm81ZKrWNCLpX
rn+Q9GHBxqzEorYsIix2xxe9ucWCXmkenOwBIkTF5UePvmZBSInUlXcBgyAS
Jmjl8Zb7/igvLzPPQXji7S9BK2WB9STje7PjIFRYGxZglSz4+Pk55B4cBJo4
oXENd85jd6clpawbBOscHiGNPhbc65Q31M8bAKkPbilXlllQJKNM66nrh4KX
TaeWfnHPI8HA/SrtB50nmvK3eDBwy43ZK5HfD0cjF0sTBDD48OD6fnZMP0SY
pRKyxDC44X4sLPRwP5C66yTxShiEVP0o1Wnqg7fTclmiNhjECSk2qBf3QsLT
OPdxOww2H6PZfv+rF87bM1VKTmDw4if9V3JUL2yrqXln64QBj5PaEQHHXkhK
PdN8z5Orq5uWnnKWCHDB/PPds14YfFkbPYwjE8D0x84TWt4YTBYmbrDoIMAP
z6WRdn+ujg7OTwVkE8Bb/zFH+DoGq2806kgGBDBn8Hz4cgODetmxUQV5Asjn
eUe8vsndv56Y/So/AQbXGQhaxWLwPMswN6W7Bw6PDW5LTMUAT3Fhxbj1wI5Y
SUvB5xg42KXMqnd0wYpBhAjxJQY9TzWUft7pgmEmufd5MQadvoHFFqZdcN+p
4tyRMgwkw+aPz5Z1gt8GWSWpSgxe5l4WELnYCZYNMdPUKu7vM4XSjWU6YXWn
fUhcDQb3v659bB7eAV8mPhk41mOgbpzp0qbaAVXpiivKeAzaY+mA62mHgBV2
QmMLBg+DgqeUtrWDVcVpu/Q2DIweRuRK1LaBijdu0/lODOLjNycEurTBKCE1
h68Pg1qlG5n8ia3wMX7xz74BDHIwcomTdCukH3DTKBji7seI+NC68B8IZDez
gkcwmDN5bbtH4x+wLtpdaTqOgcZQ5+TeFy2g6pJxXYLrS4w6/AYbuRZYI7Zi
TCJj8HjgbtLupGYY/+zFX07DIO1SRdSeuSb4+1pna/QMBiKZQpZKJk2QsWtf
6ok5DNJDWk4LxjdCECnbQRHD4FF+94dnVZ/B5hG/DIfDrVeVc3ZRBx7Ubfwm
cN8wYH84+P1bbQPw8/YX3l/EQMc4j1V4DQeT7w/4uC9hQL3popNRUgs1PgXa
Or8wKCd4lNWMfYRH8usX/vVpiVLn0TPHotGaT5B1yCGchJ6/aJEtZUEgof9z
fsfa9WCBhN73YP/+e77iZLSfa08e0KnqZLRf44E/VP46REbnqdho7mN5nPzf
eX0iGsM9yP/Vw8fAIyKIjOonoPCItzaFjOp72WjTbrNsMqq/2xIfaL8io/v6
uXBTIbqBjO6zQ7lxZk0nGd33/jeJ65SHyKhfeKp8HsTwUlA/FWX97H8mSUH9
9rZ7wW9CjoL6sfmNr+qMKgX1c1DNU5LtUQrq9/KfB0cfOlPQPAQEOtXHeFDQ
vExsPrXjxCUKmqfguGd+vQUUNG8SsW6t43UUNI9W5pb9rHYKmlehnEt/neml
oHm2TUpiVQ1RkD74uv2scllHRfrR9mXI2lWBivSlmjh1MUOTivSHfNVESnEP
FekTyTcyOU+fivRreSjaWz2aivTt7wGTPSMFVKR/+ToiEy8rqUgfP9avmmI1
VKSf1NCdecINVKSvnPiRcYUmKtLfy+pCm/j5aUifZ3QqIicVaUi/7z67URqq
Q0P6zri9K+LVfhrSf80GhwrjAzTkDw+qB2N6jGnIP+JUBzylwmnIX8JUJtSv
Z9CQ/5xzJAp7FtKQP/WsFdE+XExD/nXuYWd8eQkN+VuYmqqUXDkN+d+JA+vH
3Og05I9bWp6HSfHSkX9u1enOqRahI39NlkvV5JWkI/81uFBfr7CFjvw5xfig
gbEMHfGBgJ2wllcTHfHDL1HcDkX3acQX2sIDe78uTCP+uBwYFL72ygzik5Sx
6Vj61xnEL8231+xe6z+L+MbKdS//p8FZxD8JzmotYaYMxEdTOGF/n3wG4ice
/8fqoSsMxFflhvintq5ziL9knw87ZVfMIT4ji93ZIraBifjNTVj4/eYzTMR3
pya2tYS8YiL+8zQL8tyyzER8ONcaV+JjzkL8uCHzoZ5MGgvxJdn647zdGAvx
pxXRQUtoB4b4NLAusnWLD4b4VeQqflGNO6e/+XbPxj0JJlwd+s2/HLNJE/ut
bMTH2gYKHhb72YifLTWt6yad2IivmxIDRyOvsRF/mwkX50plsBGf2w7g5a3e
sxG/4/cdaM8msBHf31LdWHQHYyP+LxXn87srwkH5QNVTQYuozkH5YVjgkmzZ
YQ7KF8sto51MNw7KH+PpkoZnwjkon7B9ec/bZnBQflnqbxJvKOWgfENYEydb
1cZB+WfZkiM5QOWgfKSrr6CVtsJB+cnsgKVP09Z5lK/Wv6hPe6Uzj/KX3XZF
mRbLeZTPxBLGDzt4zqP8NuTaulMgYB7luywDJ5GhkHmU/4wDPsjhrs6jfKi4
Xaxr77V5lB+bOMfvM7nr3/lSb/S7r9X1efidP3HOy2YvuOv/A96JdnM=
                "]]}}]}, {}, {}, {}, {}, {}, {
            EdgeForm[], 
            Directive[
             RGBColor[0.560181, 0.691569, 0.194885], 
             Opacity[0.2]], 
            GraphicsGroup[{{
               Polygon[CompressedData["
1:eJxFl3k8Vfkbx61llyUi+0QK0WYZ8YxoyDZplNFCVDO6ZEvJlrmiEVmTlCXR
ZiSVpalky/LSlCVrZb3rua57zr23ZKL4+f3R9/xxXvf1fd17z/me5/t8Pp/3
ox8Ytve4mIiISM/y9f9P1+NYXzNnn32z74Lj3RghSDhqhk9obINto/8Fuy6v
t94oKKrRcIJ2wZ5s3lkhuL0Zflys4Q36OordW5fXPsfmXuRqHAP70CfazWeE
MGb+l2OGRhQUWvvIj5wSQunqXy6kaSTDiF/XRslQIVClatZf1MgDxdTxXd6B
QvjN92Y1X3ALPHX0NTtdhCC7RD3krFMNsnebcioshGDohWMv02vB0daF0r5G
CNHdNlDw6SlssdQzzVkUgHqt0rioaBMsuAhUB5kCqKc5vu7Z0Qp9Yilr618J
oJVSvNZ3pg3mB9qVWqoFMGtkp1h1shP4waLHPPIFIPalctVaw1cwnqdqczBW
AJZLR+p/ffAaFjpH3/D8BfA6eVt3x8YeeCd5Yu2jXQLQzeZ+qcB7wShQz3TY
WADcuYnxQYu3UK0kHpIuL4Bb089fKWT2Q6LRqtt/EXxQ0L5LMBgD0Lrd9t+i
Pj5cOlH3e+m6IfAYbNV1rePD558qGUGJw+AoU3lDLZ8PUVvaatVejkD7xfDR
hLN8mHjQlt6n/x5cTNwaJ334sEAZKNwQ+wHMrfUCnK34YOKwcvH356MgcJx0
2LuGD85l+n88Uh+Hzas2pzrMEBCt7W8wdWgC5M+0zq2vJMB0Zp/ssMckhDcm
dKlTCFBR5Eu1zU+C67C3qZQBARJNhdU/FE0B3e0foecYDsHbnr+TdqOBXMHl
bZo5OFTuDixt/EyDma6UBxQnHGa5mqtY+XQIdIwIVF/gQd2vzuJ5TgzYP6HV
eaqCB4kuKTdqWQzwl5GpW32QB/pjriPlKUygK/6lrijHgx+tkvM0trBg7Z13
PkU1M3BIp+eLaD8LHtu0Fnv4zcDsqwxaOJUNIievGUctcqFAwi9q7zoMpppl
TlJuckFlvK5MrA2DVN/1ndE7uSCZQPW2ieCAq99WiadD0yBS4VdNU56GjvNi
m1acnIbI69UZyq3TkDmGJbM/cuCFSaqUUigXwsIjYlec5oCSa6RpksIMmMsM
bv04i8GoWW9/TMMMfFNoNtA/gsHDEljH8OOBpKeM6fF2NhyutlTSXuRBpv0O
a3tNNtQf+E+hVwQH69+bmvTU2aCw4pnceXEcMrSzTERV2dB8yE6KI4XDGoue
kufybDCQcVqqVcFBvfNOtJooG1jHvHjuG3DwspUd82ezIFQzpCveG4fo9UZq
2o9Z0NFu1mnug8Phy28uPH7AAt0Ioo3mi0PvCnnzXZUs6O2MbHbxX/5+37BM
4C0WbDkd80SVsvx/wwnjmHwWzPVcuH0/EYcUo8FAtVgW/Jlykzr6Nw65z4eS
eu1ZIB+90jWgCgeTFu8ae1sWXA86qcyqxoF73iy+wooFNW425UQtDullcdVR
FixgKfW1iTXhwLGoSZjUZ4FbiYjUhn4cwoylVCQkWKD2xD/z9AIOggsfxvXa
mVB+r33//DccmFEbS2VamGBx3UQ3UYSAf5qWdhINTNidMFedKknATQv5iXu1
TIh3zOorVCTg2aDD5g/lTKD1NKq2/kDAwgg1yJjKhCpMu1DBnQBacEJGqSUT
UotTjox7EkA/46Cmv5kJx/byDB94EfB8eOqPfBMmaDU0PPTwIeDV+xE3Pz0m
pGUd7LgUSECw/9f6A9JMCLK8JpCJIcAjLQ2vH2GAE1fkyfs4AqRKTlw5+JYB
uqVB8X+fI8DVyWUA/5cBQ9LWK12TCVBO9u8ab2TArrEhrYtZBESmlIW8LWeA
QbKqy8o7BEys3m/gdYIBi9bx8sP3CAgN92lKCmDAOx797Z1lXT7+umP0si8D
sn1qDv/8iICIhmKax24GLG3ceyqlgYCO+8FGHCMGvJ94ar2viYCqntmQCW0G
1OfpL65rJeB24deBMlUGhC7yU9s6CRCpp+QmiTJgtC+rRLyfAKv7F6XXjdDh
nwtzR/sHCXi9ro0j9oYOebb+G8pHCPg6e06P2kIHt9ubaneOE+A/Lw7mFXQw
OpAfozxFQNiPKpsci+ggprhoT6MTIKl3VfRFJh2enX3TReUQIE+xDoiPoEO+
2fYsr2XfyaPEt8UG0CGCVuStTxBQs8qJ4rKHDu5XJTQFAgLsB38yvGJHB2P3
kInmTwScvZ7LZhrTQUJ04Fb2HAG5VlaXgpXoMFlnSzkyT4DvQ9wsd5YGDZRy
c4tvBPzhXKTm3EeDq7qys0tLBIivxO28Y8k1ZpcYlfyEjX6fJHkFdjSx0f26
Qlp+ubWs3+/PK1fZqpP5Lxvtp0z+krVRHxvt98+86A7qEBu9D+djyY6qD2z0
vp2zqoMPJ9moHjecRYNymWxUrx1nxuaXcDaqp2dHpXLuRzaqd//VjF6F/9jo
PDQkE/f0iGDovFhy/E+rJTF0nvfPBul6SGPovMOuvYy7qYGhflBuNzBK1sdQ
v3xrdKw6boihfvI5OrXHbgOG+u2gSK6pgzWG+jE+d1VeDmCoX++w3p7a5Iih
fk6R3aPb9jOG+t2sPc44NRBDergres9gKgxDejESV4oMO4MhPVHDT8dWx2BI
bwUuNGw6HkN6rNDU8TPNx5BelaVG7cLKMKTnQa01P8fdw5Debbq7N8RXYsgP
DKIVnsQ8wJBflGUvDa4YwZCf7JeIzlvgYshvqHJpYZ3Lfv/dj8xuRh0sm8eQ
X+m8PvqD/DcM+dn76EfGZ5Yw5Hfq6XJVhoYc5If+9h4hwVYc5JehRz9yQn7i
ID+NlF64y3TiIL/9Yq+lpOfMQX7szooy993NQfliItNKfzzMQfnzq1fM3HmP
aZRPvxV2e/7SMI3yK/VExTnBRi7Kt7OWcntV0rko/xRLFLuEM1yUjwH3H6Us
uM2g/Mz7Is1WL51B+drRsm168vMMyt/jTrxzpk48lM9Djh7tRdk8lN9fHFJZ
MpNkvl/406Fq93oc5b+V4aBWVQSO+KCrO8MyZ7lO3/nhyGpc1WWO5Iv+8/t7
N9oRiD+c38ds3xlPID5Z4xOjldlI8gurQFrLX4SP+CadnlToo8NH/FPYtD6W
YcdHfFRnNiUff4Dkp+j+uDsW0SRfBTK7dkdeIflLvLvFifeQ5LPtmN+Vj29I
frM0PJyowiX5rlbFMzxPUoD4by2nV7xAX4D4MEFns6+aLcmP06Jyl1T3k3zp
/un1gE0EyZ8f+AFP5y6SfPosdqLP9BbJr9liizEKDSTfKiu+tTMeIPn3UtYm
rUc8ko8TP8sWf5MQIn6WbxzWqdcWIr7+LdA0tdSS5O9OZe/Mox4kn3sXH36Z
dpzkd8XwWcVrcSTfqzsdbmDkkPz/dPX9QxkV5HxgLWVXcrSWnB96wzU8Xj0l
54tkcE+LbyDnj7/niwMHX5DzSU6H3QtqIzm/pCSZsoaX19/nm8vWFnKbmoTw
P3TVkIo=
                "]]}}]}, {}, {}}, {{}, {}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVVXs81HkUHaVoqxHJhiShUiorWdQ6G4rQSyRSHiGprKjVQ4VFKNRmS5FH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              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVlHk41XkDxa0R2UVIXIMUojKWUc6IXiK9wyijhRiVriVKiWG8CmlByajJ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              "]]}, "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwVkXtcDPgCxafXVXqMHrRDj1sUEbq7pJZx1taVXh6JWCpKe1trlbaV0ZCx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              "]]}, "Charting`Private`Tag#3"]}}, {}}, "GCFlag" -> True|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->1,
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Epilog->{
    LineBox[{{0.23, 1.1716747792652888`}, {0., 1.1716747792652888`}}], 
    LineBox[
     NCache[{{0.35, 1.0947005383792516`}, {0.23, 1.0947005383792516`}, {
       0.23, 2 3^Rational[-1, 2]}, {0., 2 3^Rational[-1, 2]}}, {{0.35, 
      1.0947005383792516`}, {0.23, 1.0947005383792516`}, {0.23, 
      1.1547005383792517`}, {0., 1.1547005383792517`}}]], Null, 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*SubscriptBox[StyleBox[\\\"E\\\",FontSlant->\\\"Italic\\\"], \
\\\"gs\\\"]\\)\"", {FontFamily -> "Bitstream Charter", FontSize -> 12, 
        GrayLevel[0]}, StripOnInput -> False], TraditionalForm], {0.3, 
     1.165}], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*SubscriptBox[StyleBox[\\\"E\\\",FontSlant->\\\"Italic\\\"], \
\\\"th\\\"]\\)\"", {FontFamily -> "Bitstream Charter", FontSize -> 12, 
        GrayLevel[0]}, StripOnInput -> False], TraditionalForm], {0.43, 1.1}], 
    InsetBox[
     FormBox[
      StyleBox[
      "\"\\!\\(\\*StyleBox[\\\"f\\\",FontSlant->\\\"Italic\\\"]\\)(\\!\\(\\*\
StyleBox[\\\"q\\\",FontSlant->\\\"Italic\\\"]\\)) = \\!\\(\\*FractionBox[\\(1\
\\), \\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(q\\), \\(3\\)]\\)\"", {
       FontFamily -> "Bitstream Charter", FontSize -> 12, 
        GrayLevel[0], ScriptLevel -> 2}, StripOnInput -> False], 
      TraditionalForm], 
     Scaled[{0.3, 0.15}]]},
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{
     FormBox[
      TagBox[
       StyleBox[
       "\"\\!\\(\\*SubscriptBox[\\(V\\), \\(0\\)]\\) \\!\\(\\*SuperscriptBox[\
\\(\[Alpha]\\), \\(1/2\\)]\\)\"", FontOpacity -> 0, StripOnInput -> False], 
       HoldForm], TraditionalForm], None}, {
     FormBox[
      TagBox[
       TagBox[
        TagBox["\[Alpha]", HoldForm], HoldForm], HoldForm], TraditionalForm], 
     None}},
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  FrameTicksStyle->{{FontOpacity -> 0, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  ImageSize->NCache[
    Rational[665, 3], 221.66666666666666`],
  LabelStyle->{FontFamily -> "Bitstream Charter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}, "AxesInFront" -> True},
  PlotRange->{{-0.06, 1.06}, {-0.075, 1.275}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Prolog->{
    LineBox[{{0, -1}, {0, 2}}], 
    LineBox[{{1, -1}, {1, 2}}], 
    LineBox[{{-1, 0}, {2, 0}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.933130815169641*^9, 3.933130817395089*^9}, {
   3.933130870425071*^9, 3.933130962689139*^9}, {3.933131006043987*^9, 
   3.933131018488824*^9}, 3.933131932050414*^9, {3.933132053151815*^9, 
   3.933132073953719*^9}, 3.9331323932006187`*^9, {3.933310215814404*^9, 
   3.933310245427041*^9}, {3.933310479576984*^9, 3.933310508754455*^9}, 
   3.933310543824519*^9, {3.933318372802718*^9, 3.933318387478913*^9}, 
   3.933318748212438*^9, 3.93331894292795*^9, 3.933319086365082*^9, 
   3.933319121439543*^9, {3.933319223501526*^9, 3.933319288480249*^9}, {
   3.93331939557786*^9, 3.933319399367242*^9}, 3.933322781129867*^9, 
   3.933324405561613*^9, {3.933589817782589*^9, 3.933589921985598*^9}, {
   3.9335899746734333`*^9, 3.933589990534213*^9}, {3.933590046824733*^9, 
   3.933590129016943*^9}, 3.933590174638348*^9, {3.9335902236810083`*^9, 
   3.933590326804639*^9}, 3.93359040087628*^9, 3.933590485146137*^9, 
   3.933593066828965*^9, {3.933593096915002*^9, 3.933593120172941*^9}, {
   3.933593172210514*^9, 3.933593194195133*^9}, {3.933593635031636*^9, 
   3.9335936579197493`*^9}, {3.933593692149682*^9, 3.933593731886397*^9}, {
   3.93359393175659*^9, 3.933593969996384*^9}, 3.933595352396647*^9, {
   3.933602458508234*^9, 3.933602541368734*^9}, 3.933606135043651*^9, {
   3.933606169968055*^9, 3.9336062254209433`*^9}, 3.9336063646775084`*^9, 
   3.933606402214163*^9, 3.93360643606315*^9, {3.933606502267144*^9, 
   3.933606525048841*^9}, {3.933606924356167*^9, 3.9336069682818336`*^9}, 
   3.933607005254771*^9, {3.933607092270212*^9, 3.933607122514327*^9}, {
   3.933607231552359*^9, 3.933607257602429*^9}, 3.933607807950858*^9, 
   3.9336078903081627`*^9, 3.933607927177822*^9, 3.933607958076277*^9, 
   3.933608031312299*^9, 3.933608093487675*^9, {3.933608486379965*^9, 
   3.933608503000668*^9}, {3.933608534878494*^9, 3.933608718070617*^9}, {
   3.93360877133377*^9, 3.9336088763278103`*^9}, {3.933609204975422*^9, 
   3.933609210311354*^9}, 3.93361125421931*^9, 3.933613174505416*^9, 
   3.933613231933786*^9, {3.933659000734425*^9, 3.933659029853593*^9}, 
   3.933764191090105*^9, 3.933764532041539*^9},
 CellLabel->"Out[34]=",ExpressionUUID->"d21fb0df-419f-4363-bb7f-617faf904692"]
}, Open  ]],

Cell[BoxData[{
 RowBox[{
  RowBox[{"SetDirectory", "[", 
   RowBox[{"NotebookDirectory", "[", "]"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/phases_1.pdf\>\"", ",", "phasesPlot1"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/phases_2.pdf\>\"", ",", "phasesPlot2"}], "]"}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"Export", "[", 
   RowBox[{"\"\<figs/phases_3.pdf\>\"", ",", "phasesPlot3"}], "]"}], 
  ";"}]}], "Input",
 CellChangeTimes->{{3.933606136686246*^9, 3.933606176063049*^9}, 
   3.933606425729522*^9, {3.933606976936059*^9, 3.933606984616825*^9}, {
   3.933607821113494*^9, 3.933607827714554*^9}, {3.933764562833202*^9, 
   3.93376457473697*^9}},
 CellLabel->"In[35]:=",ExpressionUUID->"1b485599-abd1-4bc0-967d-165fc92d833b"]
}, Closed]],

Cell[CellGroupData[{

Cell["Complexity solutions", "Subsection",
 CellChangeTimes->{{3.934536883298595*^9, 
  3.934536887928734*^9}},ExpressionUUID->"b535800b-9d38-4d4f-9e23-\
c69cf4d429fb"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[ScriptCapitalS]SSG", "=", 
   RowBox[{
    RowBox[{
     RowBox[{"\[ScriptCapitalS]\[ScriptCapitalN]", "[", 
      RowBox[{"f", ",", "\[Alpha]", ",", 
       RowBox[{"e", "/", 
        SuperscriptBox["\[Alpha]", 
         RowBox[{"1", "/", "2"}]]}], ",", "0"}], "]"}], "[", 
     RowBox[{"m", ",", 
      OverscriptBox["m", "^"], ",", "Ap", ",", "Am", ",", "D", ",", "R"}], 
     "]"}], "/.", 
    RowBox[{"\[Alpha]", "->", "0"}]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.934538656718585*^9, 3.934538666139331*^9}},
 CellLabel->"In[53]:=",ExpressionUUID->"f9bfb54c-f8f3-4525-abeb-233750cee79a"],

Cell[BoxData[
 RowBox[{
  RowBox[{"eqsSSG", "=", 
   RowBox[{
    RowBox[{"D", "[", 
     RowBox[{"\[ScriptCapitalS]SSG", ",", 
      RowBox[{"{", 
       RowBox[{"{", 
        RowBox[{"m", ",", "Ap", ",", "Am", ",", "R", ",", "D", ",", 
         OverscriptBox["m", "^"]}], "}"}], "}"}]}], "]"}], "/.", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       OverscriptBox["m", "^"], "->", "0"}], ",", 
      RowBox[{"\[Alpha]", "->", "0"}]}], "}"}]}]}], ";"}]], "Input",
 CellChangeTimes->{{3.932214257475527*^9, 3.932214268153445*^9}, {
   3.932214869907028*^9, 3.9322148735066967`*^9}, {3.932215200655984*^9, 
   3.932215233474107*^9}, {3.932215451539316*^9, 3.932215453378544*^9}, {
   3.932229880497292*^9, 3.932229880825441*^9}, {3.932620786063859*^9, 
   3.932620788144357*^9}, {3.933426944708337*^9, 3.933426950520589*^9}, {
   3.933426986588248*^9, 3.933426987275653*^9}, {3.933574757154237*^9, 
   3.933574761114868*^9}, {3.9335748170048647`*^9, 3.9335748231966677`*^9}, 
   3.933683629572822*^9, {3.934535930182865*^9, 3.934535932942906*^9}, {
   3.934536927002022*^9, 3.934536968555012*^9}, {3.934537024932032*^9, 
   3.934537025059824*^9}, {3.934537135814292*^9, 3.93453716340692*^9}, {
   3.934538655675556*^9, 3.9345386696992064`*^9}},
 CellLabel->"In[54]:=",ExpressionUUID->"7618c6de-8d4a-471b-b096-c27a59d6c675"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"solD", "=", 
  RowBox[{"Solve", "[", 
   RowBox[{
    RowBox[{"0", "==", 
     RowBox[{"Last", "[", "eqsSSG", "]"}]}], ",", "D"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.932230023944449*^9, 3.9322300400875196`*^9}, {
  3.934536976508133*^9, 3.934536981411325*^9}},
 CellLabel->"In[13]:=",ExpressionUUID->"f0210815-94c5-4cb1-80fe-bd2530af8882"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{"{", 
   RowBox[{"D", "\[Rule]", 
    FractionBox[
     RowBox[{
      RowBox[{
       RowBox[{"-", "m"}], " ", "R"}], "+", 
      SuperscriptBox["R", "2"]}], 
     RowBox[{
      RowBox[{"-", "1"}], "+", 
      SuperscriptBox["m", "2"]}]]}], "}"}], "}"}]], "Output",
 CellChangeTimes->{{3.932230026965228*^9, 3.93223004033401*^9}, 
   3.932270560364152*^9, 3.932620573390811*^9, 3.932620792728594*^9, 
   3.932652197343685*^9, 3.932740126240587*^9, 3.932829357180453*^9, 
   3.933043263351121*^9, 3.933071538058464*^9, 3.933073423140627*^9, {
   3.933316076158836*^9, 3.933316086928713*^9}, 3.933319495630125*^9, 
   3.933378770988386*^9, 3.933425680648751*^9, 3.93358600713827*^9, 
   3.933656298530027*^9, 3.933683641285413*^9, 3.933683753828316*^9, 
   3.9338818638356457`*^9, 3.93445363379592*^9, 3.934533772871214*^9, 
   3.934535877369572*^9, 3.934535933646496*^9, 3.934536107945947*^9, {
   3.934536973428409*^9, 3.9345369816131983`*^9}, {3.934537025770535*^9, 
   3.9345370543126583`*^9}, 3.934537171844405*^9, 3.93453723507034*^9},
 CellLabel->"Out[13]=",ExpressionUUID->"fe6a90df-8284-4593-ad95-18776dee12ba"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"eqsSSG2", "=", 
  RowBox[{"FullSimplify", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"Most", "[", 
      RowBox[{"Drop", "[", 
       RowBox[{"eqsSSG", ",", "2"}], "]"}], "]"}], "/.", 
     RowBox[{
      RowBox[{
       RowBox[{"D", " ", 
        RowBox[{
         SuperscriptBox["f", "\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}], "-", 
       RowBox[{
        FractionBox["1", "2"], " ", 
        RowBox[{"(", 
         RowBox[{
          FractionBox[
           SuperscriptBox["Am", "2"], "2"], "+", 
          SuperscriptBox[
           RowBox[{"(", 
            RowBox[{
             RowBox[{"-", 
              FractionBox["Ap", "2"]}], "+", "R"}], ")"}], "2"]}], ")"}], " ", 
        RowBox[{
         SuperscriptBox["f", "\[Prime]\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}]}], "->", 
      RowBox[{
       RowBox[{"(", 
        RowBox[{"y", "-", " ", 
         RowBox[{
          SuperscriptBox["R", "2"], 
          SuperscriptBox[
           RowBox[{
            RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}]}], ")"}], "/", 
       RowBox[{"f", "[", "1", "]"}]}]}]}], "/.", 
    RowBox[{"solD", "[", 
     RowBox[{"[", "1", "]"}], "]"}]}], "]"}]}]], "Input",
 CellChangeTimes->{{3.934537761043166*^9, 3.93453783814727*^9}, {
  3.9345378767164507`*^9, 3.934537899900532*^9}, {3.934538386406706*^9, 
  3.934538432639037*^9}},
 CellLabel->"In[48]:=",ExpressionUUID->"94b6c17c-655e-47eb-9104-1a3e8efc5930"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"Am", " ", 
    RowBox[{"(", 
     RowBox[{
      FractionBox["1", 
       RowBox[{
        SuperscriptBox["Am", "2"], "-", 
        SuperscriptBox["Ap", "2"]}]], "+", 
      FractionBox[
       RowBox[{
        SuperscriptBox["e", "2"], " ", 
        SuperscriptBox["R", "2"], " ", 
        SuperscriptBox[
         RowBox[{
          SuperscriptBox["f", "\[Prime]",
           MultilineFunction->None], "[", "1", "]"}], "2"], " ", 
        RowBox[{
         SuperscriptBox["f", "\[Prime]\[Prime]",
          MultilineFunction->None], "[", "1", "]"}]}], 
       RowBox[{"4", " ", 
        SuperscriptBox["y", "2"]}]]}], ")"}]}], ",", 
   RowBox[{
    FractionBox["1", "m"], "-", 
    FractionBox["4", 
     RowBox[{"Ap", "+", 
      RowBox[{"2", " ", "R"}]}]], "+", 
    FractionBox[
     RowBox[{
      SuperscriptBox["e", "2"], " ", "R", " ", 
      SuperscriptBox[
       RowBox[{
        SuperscriptBox["f", "\[Prime]",
         MultilineFunction->None], "[", "1", "]"}], "2"], " ", 
      RowBox[{"(", 
       RowBox[{
        RowBox[{"4", " ", "y"}], "+", 
        RowBox[{"R", " ", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{
            RowBox[{"-", "4"}], " ", "R", " ", 
            SuperscriptBox[
             RowBox[{
              SuperscriptBox["f", "\[Prime]",
               MultilineFunction->None], "[", "1", "]"}], "2"]}], "-", 
           RowBox[{
            RowBox[{"(", 
             RowBox[{"Ap", "-", 
              RowBox[{"2", " ", "R"}]}], ")"}], " ", 
            RowBox[{"f", "[", "1", "]"}], " ", 
            RowBox[{
             SuperscriptBox["f", "\[Prime]\[Prime]",
              MultilineFunction->None], "[", "1", "]"}]}]}], ")"}]}]}], 
       ")"}]}], 
     RowBox[{"4", " ", 
      SuperscriptBox["y", "2"], " ", 
      RowBox[{"f", "[", "1", "]"}]}]]}], ",", 
   RowBox[{"-", 
    FractionBox[
     RowBox[{
      RowBox[{"-", 
       FractionBox["1", "m"]}], "+", "m", "+", 
      FractionBox[
       RowBox[{
        SuperscriptBox["e", "2"], " ", 
        SuperscriptBox["R", "3"], " ", 
        SuperscriptBox[
         RowBox[{
          SuperscriptBox["f", "\[Prime]",
           MultilineFunction->None], "[", "1", "]"}], "3"]}], 
       SuperscriptBox["y", "2"]]}], 
     RowBox[{"2", " ", "R"}]]}]}], "}"}]], "Output",
 CellChangeTimes->{
  3.934537762962049*^9, {3.934537793608653*^9, 3.93453783834146*^9}, {
   3.934537884451329*^9, 3.934537900772882*^9}, {3.93453836907192*^9, 
   3.934538433617627*^9}},
 CellLabel->"Out[48]=",ExpressionUUID->"a47fe3af-36d2-4287-bd83-2a93e3914f03"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"sCompSSG", "=", 
   RowBox[{"Solve", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"0", "==", 
       RowBox[{"Append", "[", 
        RowBox[{"eqsSSG2", ",", 
         RowBox[{
          RowBox[{
           RowBox[{"D", " ", 
            RowBox[{
             SuperscriptBox["f", "\[Prime]",
              MultilineFunction->None], "[", "1", "]"}]}], "-", 
           RowBox[{
            FractionBox["1", "2"], " ", 
            RowBox[{"(", 
             RowBox[{
              FractionBox[
               SuperscriptBox["Am", "2"], "2"], "+", 
              SuperscriptBox[
               RowBox[{"(", 
                RowBox[{
                 RowBox[{"-", 
                  FractionBox["Ap", "2"]}], "+", "R"}], ")"}], "2"]}], ")"}], 
            " ", 
            RowBox[{
             SuperscriptBox["f", "\[Prime]\[Prime]",
              MultilineFunction->None], "[", "1", "]"}]}], "-", 
           RowBox[{
            RowBox[{"(", 
             RowBox[{"y", "-", " ", 
              RowBox[{
               SuperscriptBox["R", "2"], 
               SuperscriptBox[
                RowBox[{
                 RowBox[{"f", "'"}], "[", "1", "]"}], "2"]}]}], ")"}], "/", 
            RowBox[{"f", "[", "1", "]"}]}]}], "/.", 
          RowBox[{"solD", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}]}], "/.", 
      RowBox[{"f", "->", 
       RowBox[{"Function", "[", 
        RowBox[{"q", ",", 
         RowBox[{
          FractionBox["1", "2"], 
          SuperscriptBox["q", "3"]}]}], "]"}]}]}], ",", 
     RowBox[{"{", 
      RowBox[{"Ap", ",", "Am", ",", "R", ",", "y"}], "}"}]}], "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.932214223353943*^9, 3.932214306563463*^9}, {
   3.932214875867169*^9, 3.932214889164859*^9}, {3.9322152078653593`*^9, 
   3.932215251202077*^9}, {3.932215455891472*^9, 3.932215461499466*^9}, {
   3.932215582290704*^9, 3.932215587840426*^9}, {3.932229989487039*^9, 
   3.93222998970985*^9}, {3.932230227888349*^9, 3.932230238008058*^9}, {
   3.932230395510715*^9, 3.9322303981675262`*^9}, {3.932230637513133*^9, 
   3.9322306434171143`*^9}, {3.932230695890707*^9, 3.932230696306739*^9}, {
   3.932230914229083*^9, 3.932230914556213*^9}, {3.932231202503786*^9, 
   3.932231202663443*^9}, {3.932620635538441*^9, 3.9326206362023087`*^9}, 
   3.933683703488313*^9, {3.934534437907224*^9, 3.934534447346673*^9}, {
   3.9345344808441353`*^9, 3.934534481019243*^9}, {3.934534620542678*^9, 
   3.93453463578312*^9}, {3.934534865828146*^9, 3.934534869131598*^9}, {
   3.934534916717072*^9, 3.934534938861109*^9}, {3.934537308153323*^9, 
   3.934537337401829*^9}, {3.934537905861642*^9, 3.934537927509416*^9}, {
   3.934538444986969*^9, 3.93453844768743*^9}},
 CellLabel->"In[49]:=",ExpressionUUID->"baaf63c8-5be4-4d2a-a22b-7dc91aa7910c"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Chop", "[", 
  RowBox[{
   RowBox[{
    RowBox[{
     RowBox[{"Rest", "[", "eqsSSG", "]"}], "/.", 
     RowBox[{"solD", "[", 
      RowBox[{"[", "1", "]"}], "]"}]}], "/.", "sCompSSG"}], "/.", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"m", "->", "0.5"}], ",", 
     RowBox[{"f", "->", 
      RowBox[{"Function", "[", 
       RowBox[{"q", ",", 
        RowBox[{
         FractionBox["1", "2"], 
         SuperscriptBox["q", "3"]}]}], "]"}]}], ",", 
     RowBox[{"e", "->", "1"}]}], "}"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.934538722204956*^9, 3.934538768829483*^9}},
 CellLabel->"In[69]:=",ExpressionUUID->"f413f90a-2bbe-4119-afe0-c4eeb6f72ad3"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"-", "1.75`"}], ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"-", "1.75`"}], ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"-", "1.`"}], ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{
     RowBox[{"-", "1.`"}], ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], 
   ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}], ",", 
   RowBox[{"{", 
    RowBox[{"0", ",", "0", ",", "0", ",", "0", ",", "0"}], "}"}]}], 
  "}"}]], "Output",
 CellChangeTimes->{{3.934538740635037*^9, 3.9345387703729973`*^9}},
 CellLabel->"Out[69]=",ExpressionUUID->"88b56873-7ab9-4829-8db3-a20d0df14d25"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"pCompSSG", "=", 
  RowBox[{"Plot", "[", 
   RowBox[{
    RowBox[{"Evaluate", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"\[ScriptCapitalS]SSG", "/.", 
         RowBox[{"solD", "[", 
          RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
        RowBox[{"{", 
         RowBox[{
          OverscriptBox["m", "^"], "->", "0"}], "}"}]}], "/.", 
       RowBox[{"sCompSSG", "[", 
        RowBox[{"[", 
         RowBox[{"{", 
          RowBox[{"1", ",", "3", ",", "11"}], "}"}], "]"}], "]"}]}], "/.", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"f", "->", 
         RowBox[{"Function", "[", 
          RowBox[{"q", ",", 
           RowBox[{
            FractionBox["1", "2"], 
            SuperscriptBox["q", "3"]}]}], "]"}]}], ",", 
        RowBox[{"e", "->", "1"}]}], "}"}]}], "]"}], ",", 
    RowBox[{"{", 
     RowBox[{"m", ",", "0.505", ",", "0.595"}], "}"}], ",", 
    RowBox[{"PlotRange", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{"0.505", ",", "0.595"}], "}"}], ",", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"-", "0.0175"}], ",", "0.0025"}], "}"}]}], "}"}]}], ",", 
    RowBox[{"Frame", "->", "True"}], ",", 
    RowBox[{"FrameStyle", "->", "Black"}], ",", 
    RowBox[{"LabelStyle", "->", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"FontFamily", "->", "\"\<Bitstream Charter\>\""}], ",", 
       RowBox[{"FontSize", "->", "12"}], ",", "Black"}], "}"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.932214339117908*^9, 3.932214382006295*^9}, {
   3.932214450170501*^9, 3.932214450649657*^9}, {3.93221449166119*^9, 
   3.932214494979043*^9}, {3.932214632416708*^9, 3.932214632760862*^9}, {
   3.932214765406888*^9, 3.9322147657266893`*^9}, {3.9322152419140244`*^9, 
   3.932215261163375*^9}, {3.932215415369642*^9, 3.932215435802246*^9}, {
   3.932231242931428*^9, 3.93223129801141*^9}, {3.93223137326343*^9, 
   3.932231444633721*^9}, {3.932266415155883*^9, 3.932266422469369*^9}, 
   3.932620603322052*^9, {3.9326207128537397`*^9, 3.932620713693235*^9}, {
   3.932656261301601*^9, 3.932656261893819*^9}, {3.932656291911154*^9, 
   3.932656436196875*^9}, {3.932656527440961*^9, 3.932656549787036*^9}, {
   3.932656601171941*^9, 3.932656631148546*^9}, {3.933319611977671*^9, 
   3.933319618832816*^9}, {3.933586403075109*^9, 3.933586437972973*^9}, {
   3.933586508279084*^9, 3.93358651634273*^9}, {3.933656503164935*^9, 
   3.933656503804769*^9}, {3.933656553518437*^9, 3.933656554037715*^9}, 
   3.933656759338773*^9, {3.9336841625702753`*^9, 3.933684162681262*^9}, {
   3.934454115553474*^9, 3.934454122931615*^9}, {3.9345351427362003`*^9, 
   3.934535268298639*^9}, {3.934538674428679*^9, 3.934538716372547*^9}, {
   3.934538784630959*^9, 3.934538943592704*^9}, {3.9345390343472147`*^9, 
   3.934539046442832*^9}, {3.934539079331859*^9, 3.934539150925096*^9}},
 CellLabel->"In[84]:=",ExpressionUUID->"dcf47297-6e73-48db-95c6-2be317bfb5b5"],

Cell[BoxData[
 GraphicsBox[
  InterpretationBox[{
    TagBox[{{{}, {}, 
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwd1Xk8lOsXAPDJRZE1e3KlJG7SglTUGVmGbPMqst7IkjYVXSTLSIlx7YVU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          "]], LineBox[CompressedData["
1:eJwV03sw1WkYB/BT7WxuNeW2WLkNm1sc5JDbwx63c+L8zo+sFbKskFvCjEvR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          "]], LineBox[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DTYnBMokEvaHPvnay/3rkT1DXoLc
WfOU/XGrakJ9gPwDdWxOJW4p+zMKmGV7QXyTx6fkQlP2V/0RWMP3G6jffxl3
XVHK/gUiOqcE/wD1K8q5pq5N2f/GJYlN4t8je4fooLJryqn7m5aeq1Nhemx/
YL7pCSfhtP092aFuqUA+w+rbHmFKafunGt7hXQaS1/yrmWuYtn/F3pdz1JmB
fCc53qX+afvPXmXZrcXy2L4h8GyQbU/afgk26+8GbI/tHeau3M3Plr5f6czB
fYVAfkPHPqNI0fT92pM82jaB5FmZOZappO+3kwsTNWEH2pfXecbTOX1/ilmh
sTkH0PwtU3bubEjfn/fn+69yIL/hqZ6c3IT0/eWH6g7tAPFlr99vnZ++v8uv
J9CKE8ifcbAyfl/6/skiwpLVnCDz9wRePJu+f86tmQ92g+T3mrS53U3fv2yB
woo/IP5LdvH9b9L3r09bnm/LBVR/WpDF+k/6fgDnBbQu
          "]]},
        Annotation[#, "Charting`Private`Tag#1"]& ], 
       TagBox[
        {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwd03k8VPsbB/DhMrYpImvZkl1KEaF57IY5J5JKIkXhphgRbimjXNGqSIjS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          "]], LineBox[CompressedData["
1:eJwV0Hk01GsYB/C5Yax1hW64QuES0wlTyDIPZjLG/FrIFBGqMWO7KN1D1ml0
iqgmSyfpoo0h2xGlLG+U6ibVaTnXlvRKFO3lFiP39cd73vM532d5z7t8V5xf
+AIajbabnPnbveBy8hcLDLSgxdFtYxTEehZvC7QizmvJkyAKhvcMcfLn/Wt6
F9VCgd/Z5fY9837SZKF6lQIHmlzLYyUGSYOlxKuWgp9tjR1W1iTfh5d+LKbg
6LoHNt9tiN+Vl35OIHnEYgN7BvHw3cbzsRTEn/KnxxBLTha7siMpiDqS2DpE
fMK0a0dkCAVGTWOFd1aR3DjohoxLQegSy+vXV2NQJEx1DutQYBzGefeIWPLm
o8Gf2hTIjh/u17Al8zdzVabUKdj3fmFTOrFk9KLmUwUfXKsNo0R2JO8K9O54
yYdJ5GKbYY8hnTPeMdfOh27LNU/XMkl9QP0CoZwPLV9XrSxdi6E9srA3aQsf
3hqL5U8dSH/hMtprKz4czLXZp+tI6lXN3MpN+FDSza5hE+vJurpT9fmw5VnS
vw+JaYORx+KV+PA4z9axzglD2CcsV3vpAyJFTrTaOgwTVbf5vY994Pj3GmGH
M5lnEYoacnxgzeOvprUs0j8X84Y+wIMHcG1yklhSLRYEPORBRE1asw0QP24u
PHmTB39n0TdXEtMSZy/0XeIBHfQzLriT/OudpOQUHjzMSigK8cSQMZEpYJrx
oPeSy/PTxDT8o8N6KQ8CB7qbsrwwjAuOGJm7e8OtrHOuncTuNWX1Xkxv0Mrt
fKEglrCY8QZ/eMMx2c92PhdDeYAsBPS8YYVDhfN14jb7lNe/zHChtVTaEOxN
+t2Yvk3PuKC4Ju228yH+cnaPQsSF1PfS2YENxGm1MwfTvKCuMNZEfwsGhw4l
JmPRekjelrnTVkDeF3M7bVUKB9hPwoYiiW9wBZpxURzQ2sQKOj9vq8tXzwZy
4F5rL4OxFYP6nEpLiB0Hbq2N81YQu3/IGC76wgb/bK1x3wAMRpnax8xz2bBQ
L2j1XWLa/soavwg2fNQcyhvdjsH/Mri8bPOEskf2s6HBJL9bUN/u5QknnZyF
90Ix3KOFhnYZe0AXD586vpv8h2tUjEk9wBUlj68980YLKkYzAQzTWRpqQgxT
/tqmBdsBBvP0BzcQU9+NFzVZAeTa7aBnE0viIwLjfrLAz6A3QRpO9p3IXS33
YYFl2WmeixiDvrrUWaTqBkPjPRv/IqYxXxX1D7pCo6xZNhiJ4WWKTu4uDReY
OnxNOSiazIu8cjN6fB0s3Pmi0TEBw7eaEo3po0wwmmXb7t2HQdY3FcFKsIdX
L854OO3H0CtILjb0ZYARU7a+glg3OFw3LdsGRmZS5PoSDAm3FGkZYyZkjrnJ
5QNkf2NUvMjMEPpM1GITT5B9/dsk7/XMkGYDj/G5jLgqf1vDKhdUURffsauO
/H818616iRcKchyb0kAYNs85TJ0q24z2W7OVKntIfQHT49O0AI26zabPDmBo
+DEt/VEQhKLEh298eI1BrhutvHRxGIoYoBdnT2DIybxU9V1lJxK8+nZUcxrD
qyRGzDlHIQqpShVQxKyNqc+5XkIUEa+07ChxbXKP/KO/ECUrtKsXzWAINt1E
UXuFqEyPcW+xAsP1uaftNjVCNMnZRdf/iWHrb4k6OWbhSHrxQbr5ghFo7U9K
/0dHhHKjBV7hxO5aggt9y0Wo0G5wYTkxI5/z+ztbEZK3vTljqTQCyhncmWWb
RKjnmXKLtfIIHORyUytyREif7vKfLX0EJje9WB+oIkYr7ne07yF2ksqCS/TE
yCbP+1ADsf8ztRuvzcSIZbx1yRrVEQg+BTEHPMVI6LCH6ag2AorKML+hDDGK
Vfw3nUh833X0jttxMUrsTO9sJuZYLMkqKxGjIxtzfZ3VSW4ZPRbXJkb5eroG
KcStRZqHBu+L0Zn+ouEWYidNKpYaFKPyMlO5grh64k0pmhCjOlFFnJvGCFjd
PmfoMCNG/wPgFOpp
          "]], 
         LineBox[{{0.548584807779583, -0.0016811695613057898`}, {
          0.5485891113408887, -0.0016789749014940094`}}]},
        Annotation[#, "Charting`Private`Tag#2"]& ], 
       TagBox[
        {RGBColor[0.560181, 0.691569, 0.194885], AbsoluteThickness[2], 
         Opacity[1.], LineBox[CompressedData["
1:eJwd0X0s1HEcB/BDl6fqerg/emDu7JLsh7ub5iEcXdMD5WJXpHJOEcPREJXz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          "]], LineBox[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DfOXCpRJJOwPffK1l/sXkD9h+7Fj
Zin741bVhPoA+Qd25CxIdk3Zn1HALNsL5DPwyM1lDknZX/VHYA3fb6D89Re/
fQpT9i8Q0Tkl+Aeo/2CxGeualP1vXJLYJP4B1U9ovsOllLq/aem5OhWmx/YO
W5P/pAik7e/JDnVLBfIZDh7pTpFP2z/V8A7vMhC/WF05XS9t/4q9L+eoMz+2
bwg6mFbqk7b/7FWW3VosQL6HpPa2jrT9EmzW3w3YHtsfuMnz8zhj+n6lMwf3
FQL5DJtMV30XSN+vPcmjbRNIftvLMC2F9P12cmGiJuxA/ftfz59hl74/xazQ
2JwDKJ/jentGdfr+vD/ff5UD+Q2vNwQ/6ErfX36o7tAOIN8hbMVBrVnp+7v8
egKtOIHqL7lVn9iRvn+yiLBkNZDP4FR6VPpE+v45t2Y+2A3ih9sxFV1P379s
gcKKP0B+g/dzg9PP0vevT1ueb8sFlD+7NUD9W/p+ADRbuu4=
          "]]},
        Annotation[#, "Charting`Private`Tag#3"]& ], {}}, {}},
     {"WolframDynamicHighlight", <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
    StyleBox[
     DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
       Slot["HighlightElements"], 
       Slot["LayoutOptions"], 
       Slot["Meta"], 
       Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwd1Xk8lOsXAPDJRZE1e3KlJG7SglTUGVmGbPMqst7IkjYVXSTLSIlx7YVU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              "]], 
             Line[CompressedData["
1:eJwV03sw1WkYB/BT7WxuNeW2WLkNm1sc5JDbwx63c+L8zo+sFbKskFvCjEvR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              "]], 
             Line[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DTYnBMokEvaHPvnay/3rkT1DXoLc
WfOU/XGrakJ9gPwDdWxOJW4p+zMKmGV7QXyTx6fkQlP2V/0RWMP3G6jffxl3
XVHK/gUiOqcE/wD1K8q5pq5N2f/GJYlN4t8je4fooLJryqn7m5aeq1Nhemx/
YL7pCSfhtP092aFuqUA+w+rbHmFKafunGt7hXQaS1/yrmWuYtn/F3pdz1JmB
fCc53qX+afvPXmXZrcXy2L4h8GyQbU/afgk26+8GbI/tHeau3M3Plr5f6czB
fYVAfkPHPqNI0fT92pM82jaB5FmZOZappO+3kwsTNWEH2pfXecbTOX1/ilmh
sTkH0PwtU3bubEjfn/fn+69yIL/hqZ6c3IT0/eWH6g7tAPFlr99vnZ++v8uv
J9CKE8ifcbAyfl/6/skiwpLVnCDz9wRePJu+f86tmQ92g+T3mrS53U3fv2yB
woo/IP5LdvH9b9L3r09bnm/LBVR/WpDF+k/6fgDnBbQu
              "]]}, "Charting`Private`Tag#1"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwd03k8VPsbB/DhMrYpImvZkl1KEaF57IY5J5JKIkXhphgRbimjXNGqSIjS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              "]], 
             Line[CompressedData["
1:eJwV0Hk01GsYB/C5Yax1hW64QuES0wlTyDIPZjLG/FrIFBGqMWO7KN1D1ml0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              "]], 
             
             Line[{{0.548584807779583, -0.0016811695613057898`}, {
              0.5485891113408887, -0.0016789749014940094`}}]}, 
            "Charting`Private`Tag#2"], 
           Annotation[{
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Line[CompressedData["
1:eJwd0X0s1HEcB/BDl6fqerg/emDu7JLsh7ub5iEcXdMD5WJXpHJOEcPREJXz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              "]], 
             Line[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DfOXCpRJJOwPffK1l/sXkD9h+7Fj
Zin741bVhPoA+Qd25CxIdk3Zn1HALNsL5DPwyM1lDknZX/VHYA3fb6D89Re/
fQpT9i8Q0Tkl+Aeo/2CxGeualP1vXJLYJP4B1U9ovsOllLq/aem5OhWmx/YO
W5P/pAik7e/JDnVLBfIZDh7pTpFP2z/V8A7vMhC/WF05XS9t/4q9L+eoMz+2
bwg6mFbqk7b/7FWW3VosQL6HpPa2jrT9EmzW3w3YHtsfuMnz8zhj+n6lMwf3
FQL5DJtMV30XSN+vPcmjbRNIftvLMC2F9P12cmGiJuxA/ftfz59hl74/xazQ
2JwDKJ/jentGdfr+vD/ff5UD+Q2vNwQ/6ErfX36o7tAOIN8hbMVBrVnp+7v8
egKtOIHqL7lVn9iRvn+yiLBkNZDP4FR6VPpE+v45t2Y+2A3ih9sxFV1P379s
gcKKP0B+g/dzg9PP0vevT1ueb8sFlD+7NUD9W/p+ADRbuu4=
              "]]}, "Charting`Private`Tag#3"], {}}}, {}}, <|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0.505, 0.595}, {-0.0175, 0.0025}}, 
           "Frame" -> {{True, True}, {True, True}}, 
           "AxesOrigin" -> {0.5050000000000011, 0}, 
           "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
             GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.560181, 0.691569, 0.194885], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.880722, 0.611041, 0.142051], 
              AbsoluteThickness[2]], 
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>]]& )[<|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
          "PlotRange" -> {{0.505, 0.595}, {-0.0175, 0.0025}}, 
          "Frame" -> {{True, True}, {True, True}}, 
          "AxesOrigin" -> {0.5050000000000011, 0}, 
          "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
          "LabelStyle" -> {
           FontFamily -> "Bitstream Charter", FontSize -> 12, 
            GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
            Directive[
             Opacity[1.], 
             RGBColor[0.560181, 0.691569, 0.194885], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.880722, 0.611041, 0.142051], 
             AbsoluteThickness[2]], 
            Directive[
             Opacity[1.], 
             RGBColor[0.368417, 0.506779, 0.709798], 
             AbsoluteThickness[2]]}, 
          "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
              Identity[
               Part[#, 1]], 
              Identity[
               Part[#, 2]]}& ), 
            "ScalingFunctions" -> {{Identity, Identity}, {
              Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>,
         "Meta" -> <|
         "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
          Plot, "GroupHighlight" -> False|>|>],
      ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
       4.503599627370496*^15, -4.503599627370496*^15}}],
     Selectable->False]},
   Annotation[{{{{}, {}, 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwd1Xk8lOsXAPDJRZE1e3KlJG7SglTUGVmGbPMqst7IkjYVXSTLSIlx7YVU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          "]], 
         Line[CompressedData["
1:eJwV03sw1WkYB/BT7WxuNeW2WLkNm1sc5JDbwx63c+L8zo+sFbKskFvCjEvR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          "]], 
         Line[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DTYnBMokEvaHPvnay/3rkT1DXoLc
WfOU/XGrakJ9gPwDdWxOJW4p+zMKmGV7QXyTx6fkQlP2V/0RWMP3G6jffxl3
XVHK/gUiOqcE/wD1K8q5pq5N2f/GJYlN4t8je4fooLJryqn7m5aeq1Nhemx/
YL7pCSfhtP092aFuqUA+w+rbHmFKafunGt7hXQaS1/yrmWuYtn/F3pdz1JmB
fCc53qX+afvPXmXZrcXy2L4h8GyQbU/afgk26+8GbI/tHeau3M3Plr5f6czB
fYVAfkPHPqNI0fT92pM82jaB5FmZOZappO+3kwsTNWEH2pfXecbTOX1/ilmh
sTkH0PwtU3bubEjfn/fn+69yIL/hqZ6c3IT0/eWH6g7tAPFlr99vnZ++v8uv
J9CKE8ifcbAyfl/6/skiwpLVnCDz9wRePJu+f86tmQ92g+T3mrS53U3fv2yB
woo/IP5LdvH9b9L3r09bnm/LBVR/WpDF+k/6fgDnBbQu
          "]]}, "Charting`Private`Tag#1"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwd03k8VPsbB/DhMrYpImvZkl1KEaF57IY5J5JKIkXhphgRbimjXNGqSIjS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          "]], 
         Line[CompressedData["
1:eJwV0Hk01GsYB/C5Yax1hW64QuES0wlTyDIPZjLG/FrIFBGqMWO7KN1D1ml0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          "]], 
         Line[{{0.548584807779583, -0.0016811695613057898`}, {
          0.5485891113408887, -0.0016789749014940094`}}]}, 
        "Charting`Private`Tag#2"], 
       Annotation[{
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Line[CompressedData["
1:eJwd0X0s1HEcB/BDl6fqerg/emDu7JLsh7ub5iEcXdMD5WJXpHJOEcPREJXz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          "]], 
         Line[CompressedData["
1:eJxTTMoPSmViYGCQAGIQ/VFe94P280f2DfOXCpRJJOwPffK1l/sXkD9h+7Fj
Zin741bVhPoA+Qd25CxIdk3Zn1HALNsL5DPwyM1lDknZX/VHYA3fb6D89Re/
fQpT9i8Q0Tkl+Aeo/2CxGeualP1vXJLYJP4B1U9ovsOllLq/aem5OhWmx/YO
W5P/pAik7e/JDnVLBfIZDh7pTpFP2z/V8A7vMhC/WF05XS9t/4q9L+eoMz+2
bwg6mFbqk7b/7FWW3VosQL6HpPa2jrT9EmzW3w3YHtsfuMnz8zhj+n6lMwf3
FQL5DJtMV30XSN+vPcmjbRNIftvLMC2F9P12cmGiJuxA/ftfz59hl74/xazQ
2JwDKJ/jentGdfr+vD/ff5UD+Q2vNwQ/6ErfX36o7tAOIN8hbMVBrVnp+7v8
egKtOIHqL7lVn9iRvn+yiLBkNZDP4FR6VPpE+v45t2Y+2A3ih9sxFV1P379s
gcKKP0B+g/dzg9PP0vevT1ueb8sFlD+7NUD9W/p+ADRbuu4=
          "]]}, "Charting`Private`Tag#3"], {}}}, {}}, <|
    "HighlightElements" -> <|
      "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
     "LayoutOptions" -> <|
      "PanelPlotLayout" -> <||>, 
       "PlotRange" -> {{0.505, 0.595}, {-0.0175, 0.0025}}, 
       "Frame" -> {{True, True}, {True, True}}, 
       "AxesOrigin" -> {0.5050000000000011, 0}, 
       "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
       "LabelStyle" -> {FontFamily -> "Bitstream Charter", FontSize -> 12, 
         GrayLevel[0]}, "AspectRatio" -> GoldenRatio^(-1), 
       "DefaultStyle" -> {
         Directive[
          Opacity[1.], 
          RGBColor[0.560181, 0.691569, 0.194885], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.880722, 0.611041, 0.142051], 
          AbsoluteThickness[2]], 
         Directive[
          Opacity[1.], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]]}, 
       "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
           Identity[
            Part[#, 1]], 
           Identity[
            Part[#, 2]]}& ), 
         "ScalingFunctions" -> {{Identity, Identity}, {Identity, Identity}}|>,
        "Primitives" -> {}, "GCFlag" -> False|>, 
     "Meta" -> <|
      "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
       Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]],
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.5050000000000011, 0},
  DisplayFunction->Identity,
  Frame->{{True, True}, {True, True}},
  FrameLabel->{{None, None}, {None, None}},
  FrameStyle->GrayLevel[0],
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  LabelStyle->{FontFamily -> "Bitstream Charter", FontSize -> 12, 
    GrayLevel[0]},
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "ScalingFunctions" -> None, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0.505, 0.595}, {-0.0175, 0.0025}},
  PlotRangeClipping->True,
  PlotRangePadding->{{0, 0}, {0, 0}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.932656407515772*^9, 3.9326564422258167`*^9}, {
   3.932656532139494*^9, 3.932656550887094*^9}, {3.932656602894032*^9, 
   3.9326566327093363`*^9}, 3.933319521942895*^9, {3.933319613441224*^9, 
   3.933319619845391*^9}, 3.933425696361123*^9, 3.9335860195386953`*^9, {
   3.933586403465225*^9, 3.933586438836339*^9}, {3.933586509185574*^9, 
   3.933586516968311*^9}, 3.933656414529748*^9, {3.933656501376521*^9, 
   3.933656504642437*^9}, 3.933656554370189*^9, 3.933656760928498*^9, {
   3.93368416064683*^9, 3.933684163137246*^9}, 3.933882090999606*^9, 
   3.934453803143113*^9, {3.934454116958088*^9, 3.934454123705853*^9}, {
   3.934535155417897*^9, 3.934535271566082*^9}, {3.934538649918092*^9, 
   3.9345387188203506`*^9}, {3.934538789890613*^9, 3.934538950390564*^9}, 
   3.934539057804737*^9, {3.934539103926716*^9, 3.934539159190048*^9}},
 CellLabel->"Out[84]=",ExpressionUUID->"4f584ccd-3977-478d-8868-422d8d96a0a6"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"mMax1", "=", 
  RowBox[{
   RowBox[{"ms", "[", 
    RowBox[{
     RowBox[{"Function", "[", 
      RowBox[{"q", ",", 
       RowBox[{
        FractionBox["1", "2"], 
        SuperscriptBox["q", "3"]}]}], "]"}], ",", "\[Alpha]", ",", 
     RowBox[{"1", "/", 
      SuperscriptBox["\[Alpha]", 
       RowBox[{"1", "/", "2"}]]}]}], "]"}], "/.", 
   RowBox[{"\[Alpha]", "->", "0"}]}]}]], "Input",
 CellChangeTimes->{{3.934454317842985*^9, 3.934454331837122*^9}, 
   3.934539203533786*^9, {3.934539235023342*^9, 3.934539297255068*^9}},
 CellLabel->"In[89]:=",ExpressionUUID->"f4199132-776b-444e-905f-98463bad3266"],

Cell[BoxData[
 FractionBox["1", 
  SqrtBox["3"]]], "Output",
 CellChangeTimes->{{3.934454330121551*^9, 3.934454332106473*^9}, 
   3.93445465812573*^9, 3.93445473958385*^9, 3.934455576295511*^9, {
   3.934534361534361*^9, 3.934534390195144*^9}, 3.9345392382371283`*^9, {
   3.93453929253671*^9, 3.934539297454619*^9}},
 CellLabel->"Out[89]=",ExpressionUUID->"c3a6a8d3-f6e2-4820-ad3e-241c8716142b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"mMax2", "=", 
  RowBox[{"m", "/.", 
   RowBox[{
    RowBox[{"FindMaximum", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"\[ScriptCapitalS]SSG", "/.", 
          RowBox[{"solD", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            OverscriptBox["m", "^"], "->", "0"}], ",", 
           RowBox[{"\[Epsilon]", "->", "0"}]}], "}"}]}], "/.", 
        RowBox[{"sCompSSG", "[", 
         RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"f", "->", 
          RowBox[{"Function", "[", 
           RowBox[{"q", ",", 
            RowBox[{
             FractionBox["1", "2"], 
             SuperscriptBox["q", "3"]}]}], "]"}]}], ",", 
         RowBox[{"e", "->", "1"}]}], "}"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"m", ",", "0.54", ",", "0.58"}], "}"}]}], "]"}], "[", 
    RowBox[{"[", "2", "]"}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.933314739280672*^9, 3.933314756544656*^9}, {
   3.933656576734462*^9, 3.933656585286065*^9}, 3.9336567820067987`*^9, {
   3.9336568515795794`*^9, 3.933656877339943*^9}, {3.934454460403748*^9, 
   3.934454464065761*^9}, {3.934454597752377*^9, 3.93445459807848*^9}, {
   3.93445470154887*^9, 3.934454716991383*^9}, {3.9345352833409557`*^9, 
   3.934535288498915*^9}, {3.934539209037734*^9, 3.9345392186300097`*^9}},
 CellLabel->"In[90]:=",ExpressionUUID->"a2bdf3e3-eab7-4136-8b03-4eb31b271821"],

Cell[BoxData["0.5628847987495565`"], "Output",
 CellChangeTimes->{{3.933314745306559*^9, 3.933314758431819*^9}, 
   3.933315049120912*^9, 3.933315120647547*^9, 3.933315229121923*^9, 
   3.933315423868957*^9, 3.933315573430499*^9, 3.933315788739806*^9, 
   3.933318324481448*^9, 3.933319915214264*^9, 3.933320860731098*^9, 
   3.93332292872371*^9, 3.933323191784648*^9, 3.933323306025938*^9, 
   3.933323356239356*^9, 3.933323788083864*^9, 3.933323877003141*^9, 
   3.93332393450185*^9, 3.933323998814219*^9, 3.933324087301344*^9, {
   3.933324269701145*^9, 3.933324293882853*^9}, 3.93332526379138*^9, 
   3.9333259297261887`*^9, 3.933326183776881*^9, 3.933327378197804*^9, 
   3.933327853053812*^9, 3.933328974681321*^9, 3.933329472263038*^9, 
   3.933333517477831*^9, 3.933335010748927*^9, 3.933335166868107*^9, 
   3.933349858749974*^9, 3.933350626532165*^9, 3.93335090065898*^9, 
   3.933350935999133*^9, 3.933351033304509*^9, 3.933351225951133*^9, 
   3.933378829407076*^9, 3.93338026980488*^9, 3.933381183748728*^9, 
   3.933425780329357*^9, 3.93358659997959*^9, 3.933586956015176*^9, 
   3.933588307929633*^9, 3.933589026236512*^9, 3.93365644117865*^9, {
   3.933656578447338*^9, 3.9336565854784*^9}, 3.933656771791836*^9, {
   3.933656857857059*^9, 3.9336568777885013`*^9}, 3.933674431119191*^9, 
   3.9336842129892406`*^9, 3.933684243169159*^9, 3.9337618028288393`*^9, 
   3.933882094186957*^9, 3.933882642515559*^9, {3.934453813171753*^9, 
   3.934453825684252*^9}, 3.934454401158782*^9, 3.934454464319905*^9, 
   3.93445459834898*^9, 3.934454658802853*^9, {3.934454703357885*^9, 
   3.934454740091306*^9}, 3.93445557693827*^9, {3.934534362138605*^9, 
   3.934534390566085*^9}, 3.934535289238173*^9, 3.934539228024712*^9, 
   3.9345393000323563`*^9},
 CellLabel->"Out[90]=",ExpressionUUID->"d0a3d4a6-34ba-40f2-a7d0-f233befe2a26"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"mMax3", "=", 
  RowBox[{"m", "/.", 
   RowBox[{
    RowBox[{"FindMaximum", "[", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{
         RowBox[{"\[ScriptCapitalS]SSG", "/.", 
          RowBox[{"solD", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}], "/.", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            OverscriptBox["m", "^"], "->", "0"}], ",", 
           RowBox[{"\[Epsilon]", "->", "0"}]}], "}"}]}], "/.", 
        RowBox[{"sCompSSG", "[", 
         RowBox[{"[", "3", "]"}], "]"}]}], "/.", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"f", "->", 
          RowBox[{"Function", "[", 
           RowBox[{"q", ",", 
            RowBox[{
             FractionBox["1", "2"], 
             SuperscriptBox["q", "3"]}]}], "]"}]}], ",", 
         RowBox[{"e", "->", "1"}]}], "}"}]}], ",", 
      RowBox[{"{", 
       RowBox[{"m", ",", "0.55", ",", "0.58"}], "}"}]}], "]"}], "[", 
    RowBox[{"[", "2", "]"}], "]"}]}]}]], "Input",
 CellChangeTimes->{{3.934453894828047*^9, 3.934453907666699*^9}, {
  3.934454433553924*^9, 3.934454491260346*^9}, {3.934454600062752*^9, 
  3.934454605944893*^9}, {3.93445472062059*^9, 3.934454735373291*^9}, {
  3.934535299983774*^9, 3.934535302539338*^9}, {3.934539220334485*^9, 
  3.934539224822113*^9}},
 CellLabel->"In[91]:=",ExpressionUUID->"bdc90b67-e81a-4882-976a-f1ebbb721caf"],

Cell[BoxData["0.5658210450298273`"], "Output",
 CellChangeTimes->{
  3.9344546062800913`*^9, 3.934454659416494*^9, {3.934454723886532*^9, 
   3.934454740655982*^9}, 3.9344555776405067`*^9, {3.934534362481773*^9, 
   3.934534391405923*^9}, 3.934535303147727*^9, 3.934539228450254*^9, 
   3.934539300336422*^9},
 CellLabel->"Out[91]=",ExpressionUUID->"542b581b-e106-4e4d-9ba9-cf5b96db734b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"testdat", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_16.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat2", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_32.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat3", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_64.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat4", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_128.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat5", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_256.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat6", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_512.dat\>\"", "]"}]}], 
     ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat7", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_1024.dat\>\"", "]"}]}],
      ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"testdat8", "=", 
   RowBox[{"DeleteCases", "[", 
    RowBox[{
     RowBox[{"Flatten", "@", 
      RowBox[{
      "Import", "[", 
       "\"\<~/doc/research/least_squares/code/test_1.0_2048.dat\>\"", "]"}]}],
      ",", "\"\<-nan\>\""}], "]"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Histogram", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{"(*", 
     RowBox[{
      RowBox[{"Abs", "@", "testdat"}], ",", 
      RowBox[{"Abs", "@", "testdat2"}], ",", 
      RowBox[{"Abs", "@", "testdat3"}], ","}], "*)"}], 
    RowBox[{
     RowBox[{"Abs", "@", "testdat4"}], ",", 
     RowBox[{"Abs", "@", "testdat5"}], ",", 
     RowBox[{"Abs", "@", "testdat6"}], ",", 
     RowBox[{"Abs", "@", "testdat7"}], ",", 
     RowBox[{"Abs", "@", "testdat8"}]}], "}"}], ",", "35", ",", 
   RowBox[{"{", 
    RowBox[{"\"\<Log\>\"", ",", "\"\<Probability\>\""}], "}"}], ",", 
   RowBox[{"Prolog", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax1", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax1", ",", "10"}], "}"}]}], "}"}], "]"}], ",", 
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax2", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax2", ",", "10"}], "}"}]}], "}"}], "]"}], ",", 
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax3", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax3", ",", "10"}], "}"}]}], "}"}], "]"}]}], "}"}]}]}], 
  "]"}]}], "Input",
 CellChangeTimes->CompressedData["
1:eJwdyk0og3EAx/GRA1IkUUKktLIWy2GS5jHbsGdj81qYHq/l4G3DWkkLMVOU
2kHjgJMUeX+JvNQO2nBA8rLkZQd6pMhbiv/vf/j2uXwTalr09f4CgSCWBL/W
vXlpLM/sDk6xMHi2qwJyTncllGR2zMHWwZt5WHy3tgHHm8834aOSe5QTe20O
H5SLXp7h+8bxK4z2jHxC4cQV9YjXReYQe77HoqB0q78Arqoui+BoZr4B8vf1
VHMgK3sgPs3rs6Cw21LC41dHlMJr7iMxRsMztxm1SXDW2JkMU6zLqTC0NUgJ
Q7Lu8+Cl1aODYrulHJrtXVUwfdhKlQaK26A3rqEdlmn76mKJvulJ6innGRAR
nb8BQ7BpS7mvIC6e2Q6gotdkVBHvKi6oTj1rlmh5RvS2Q3VPxRVJiZoLOTUs
23X4RzyZ2XXDJvXqXm4Bz/woF/Zhsd3vvbqQZxymRmrMzJeBI4ZvL3EwLb7f
ZSPuyFao/+IE4IE=
  "],
 CellLabel->
  "In[123]:=",ExpressionUUID->"b7c04588-51c4-46ba-b43a-323e54fb82c5"],

Cell[BoxData[
 GraphicsBox[{
   {RGBColor[0.987148, 0.8073604000000001, 0.49470040000000004`], EdgeForm[{
    Opacity[0.371], Thickness[Small]}], {{}, 
     {RGBColor[0.97858, 0.678934, 0.157834], Opacity[0.5], EdgeForm[{Opacity[
      0.371], Thickness[Small]}], 
      RectangleBox[{0.27, -7.97166860472579}, {0.28, -6.970730078143525},
       RoundingRadius->0], 
      RectangleBox[{0.34, -7.97166860472579}, {0.35, -6.970730078143525},
       RoundingRadius->0], 
      RectangleBox[{0.35, -7.97166860472579}, {0.36, -5.872117789475416},
       RoundingRadius->0], 
      RectangleBox[{0.36, -7.97166860472579}, {0.37, -6.970730078143525},
       RoundingRadius->0], 
      RectangleBox[{0.38, -7.97166860472579}, {0.39, -6.277582897583581},
       RoundingRadius->0], 
      RectangleBox[{0.39, -7.97166860472579}, {0.4, -5.178970608915471},
       RoundingRadius->0], 
      RectangleBox[{0.4, -7.97166860472579}, {0.41, -5.0248199290882125},
       RoundingRadius->0], 
      RectangleBox[{0.41, -7.97166860472579}, {0.42, -4.485823428355525},
       RoundingRadius->0], 
      RectangleBox[{0.42, -7.97166860472579}, {0.43, -4.89128853646369},
       RoundingRadius->0], 
      RectangleBox[{0.43, -7.97166860472579}, {0.44, -3.9262076404201025},
       RoundingRadius->0], 
      RectangleBox[{0.44, -7.97166860472579}, {0.45, -3.7126335401220434},
       RoundingRadius->0], 
      RectangleBox[{0.45, -7.97166860472579}, {0.46, -3.6748932121391964},
       RoundingRadius->0], 
      RectangleBox[{0.46, -7.97166860472579}, {0.47, -3.1865404442252645},
       RoundingRadius->0], 
      RectangleBox[{0.47, -7.97166860472579}, {0.48, -2.9276788103089753},
       RoundingRadius->0], 
      RectangleBox[{0.48, -7.97166860472579}, {0.49, -3.019486359562098},
       RoundingRadius->0], 
      RectangleBox[{0.49, -7.97166860472579}, {0.5, -2.69406395912747},
       RoundingRadius->0], 
      RectangleBox[{0.5, -7.97166860472579}, {0.51, -2.493393263665319},
       RoundingRadius->0], 
      RectangleBox[{0.51, -7.97166860472579}, {0.52, -2.2702497123511094},
       RoundingRadius->0], 
      RectangleBox[{0.52, -7.97166860472579}, {0.53, -2.493393263665319},
       RoundingRadius->0], 
      RectangleBox[{0.53, -7.97166860472579}, {0.54, -2.448941501094485},
       RoundingRadius->0], 
      RectangleBox[{0.54, -7.97166860472579}, {0.55, -2.528078821653209},
       RoundingRadius->0], 
      RectangleBox[{0.55, -7.97166860472579}, {0.56, -2.6269246562898414},
       RoundingRadius->0], 
      RectangleBox[{0.56, -7.97166860472579}, {0.57, -2.859856213970214},
       RoundingRadius->0], 
      RectangleBox[{0.57, -7.97166860472579}, {0.58, -3.56953269648137},
       RoundingRadius->0], 
      RectangleBox[{0.58, -7.97166860472579}, {0.59, -3.56953269648137},
       RoundingRadius->0], 
      RectangleBox[{0.59, -7.97166860472579}, {0.6, -3.5367428736583792},
       RoundingRadius->0], 
      RectangleBox[{0.6, -7.97166860472579}, {0.61, -4.198141355903744},
       RoundingRadius->0], 
      RectangleBox[{0.61, -7.97166860472579}, {0.62, -5.178970608915471},
       RoundingRadius->0], 
      RectangleBox[{0.62, -7.97166860472579}, {0.63, -5.584435717023635},
       RoundingRadius->0], 
      RectangleBox[{0.63, -7.97166860472579}, {0.64, -6.277582897583581},
       RoundingRadius->0], 
      RectangleBox[{0.64, -7.97166860472579}, {0.65, -5.872117789475416},
       RoundingRadius->0], 
      RectangleBox[{0.65, -7.97166860472579}, {0.66, -6.970730078143525},
       RoundingRadius->0], 
      RectangleBox[{0.66, -7.97166860472579}, {0.67, -6.970730078143525},
       RoundingRadius->0]}, {}, {}}, {{}, 
     {RGBColor[0.368417, 0.506779, 0.709798], Opacity[0.5], EdgeForm[{Opacity[
      0.371], Thickness[Small]}], 
      RectangleBox[{0.22, -7.97166860472579}, {0.23, -6.907755278982137},
       RoundingRadius->0], 
      RectangleBox[{0.42, -7.97166860472579}, {0.43, -6.214608098422191},
       RoundingRadius->0], 
      RectangleBox[{0.43, -7.97166860472579}, {0.44, -5.521460917862246},
       RoundingRadius->0], 
      RectangleBox[{0.46, -7.97166860472579}, {0.47, -4.961845129926823},
       RoundingRadius->0], 
      RectangleBox[{0.47, -7.97166860472579}, {0.48, -4.8283137373023015},
       RoundingRadius->0], 
      RectangleBox[{0.48, -7.97166860472579}, {0.49, -3.912023005428146},
       RoundingRadius->0], 
      RectangleBox[{0.49, -7.97166860472579}, {0.5, -3.611918412977808},
       RoundingRadius->0], 
      RectangleBox[{0.5, -7.97166860472579}, {0.51, -3.101092789211817},
       RoundingRadius->0], 
      RectangleBox[{0.51, -7.97166860472579}, {0.52, -2.631089159966082},
       RoundingRadius->0], 
      RectangleBox[{0.52, -7.97166860472579}, {0.53, -2.1286317858706076},
       RoundingRadius->0], 
      RectangleBox[{0.53, -7.97166860472579}, {0.54, -1.8838747581358606},
       RoundingRadius->0], 
      RectangleBox[{0.54, -7.97166860472579}, {0.55, -1.8904754421672127},
       RoundingRadius->0], 
      RectangleBox[{0.55, -7.97166860472579}, {0.56, -1.9519282213808764},
       RoundingRadius->0], 
      RectangleBox[{0.56, -7.97166860472579}, {0.57, -2.312635428847547},
       RoundingRadius->0], 
      RectangleBox[{0.57, -7.97166860472579}, {0.58, -2.6736487743848776},
       RoundingRadius->0], 
      RectangleBox[{0.58, -7.97166860472579}, {0.59, -3.123565645063876},
       RoundingRadius->0], 
      RectangleBox[{0.59, -7.97166860472579}, {0.6, -3.912023005428146},
       RoundingRadius->0], 
      RectangleBox[{0.6, -7.97166860472579}, {0.61, -4.422848629194137},
       RoundingRadius->0], 
      RectangleBox[{0.61, -7.97166860472579}, {0.62, -5.521460917862246},
       RoundingRadius->0], 
      RectangleBox[{0.62, -7.97166860472579}, {0.63, -6.907755278982137},
       RoundingRadius->0], 
      RectangleBox[{0.63, -7.97166860472579}, {0.64, -6.907755278982137},
       RoundingRadius->0]}, {}, {}}, {{}, 
     {RGBColor[0.560181, 0.691569, 0.194885], Opacity[0.5], EdgeForm[{Opacity[
      0.371], Thickness[Small]}], 
      RectangleBox[{0.48, -7.97166860472579}, {0.49, -6.97166860472579},
       RoundingRadius->0], 
      RectangleBox[{0.5, -7.97166860472579}, {0.51, -5.179909135497735},
       RoundingRadius->0], 
      RectangleBox[{0.51, -7.97166860472579}, {0.52, -4.199079882486009},
       RoundingRadius->0], 
      RectangleBox[{0.52, -7.97166860472579}, {0.53, -3.0596455992976437},
       RoundingRadius->0], 
      RectangleBox[{0.53, -7.97166860472579}, {0.54, -2.22673647636254},
       RoundingRadius->0], 
      RectangleBox[{0.54, -7.97166860472579}, {0.55, -1.7299215896661475},
       RoundingRadius->0], 
      RectangleBox[{0.55, -7.97166860472579}, {0.56, -1.4422395172143665},
       RoundingRadius->0], 
      RectangleBox[{0.56, -7.97166860472579}, {0.57, -1.6103764390163646},
       RoundingRadius->0], 
      RectangleBox[{0.57, -7.97166860472579}, {0.58, -1.9880619830174533},
       RoundingRadius->0], 
      RectangleBox[{0.58, -7.97166860472579}, {0.59, -3.001376691173668},
       RoundingRadius->0], 
      RectangleBox[{0.59, -7.97166860472579}, {0.6, -3.975936331171799},
       RoundingRadius->0], 
      RectangleBox[{0.6, -7.97166860472579}, {0.61, -5.362230692291689},
       RoundingRadius->0]}, {}, {}}, {{}, 
     {RGBColor[0.922526, 0.385626, 0.209179], Opacity[0.5], EdgeForm[{Opacity[
      0.371], Thickness[Small]}], 
      RectangleBox[{0.51, -7.97166860472579}, {0.52, -6.35088571671474},
       RoundingRadius->0], 
      RectangleBox[{0.53, -7.97166860472579}, {0.54, -6.35088571671474},
       RoundingRadius->0], 
      RectangleBox[{0.54, -7.97166860472579}, {0.55, -2.8245251920985783},
       RoundingRadius->0], 
      RectangleBox[{0.55, -7.97166860472579}, {0.56, -1.416411783584048},
       RoundingRadius->0], 
      RectangleBox[{0.56, -7.97166860472579}, {0.57, -0.9527230151969868},
       RoundingRadius->0], 
      RectangleBox[{0.57, -7.97166860472579}, {0.58, -1.4680837941283686},
       RoundingRadius->0], 
      RectangleBox[{0.58, -7.97166860472579}, {0.59, -2.687324070585093},
       RoundingRadius->0], 
      RectangleBox[{0.59, -7.97166860472579}, {0.6, -4.5591262474866845},
       RoundingRadius->0]}, {}, {}}, {{}, 
     {RGBColor[0.528488, 0.470624, 0.701351], Opacity[0.5], EdgeForm[{Opacity[
      0.371], Thickness[Small]}], 
      RectangleBox[{0.55, -7.97166860472579}, {0.56, -2.1972245773362196},
       RoundingRadius->0], 
      RectangleBox[{0.56, -7.97166860472579}, {0.57, -0.6931471805599453},
       RoundingRadius->0], 
      RectangleBox[{0.57, -7.97166860472579}, {0.58, -0.9444616088408514},
       RoundingRadius->
        0]}, {}, {}}}, {{{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}}, {}}, {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}}, {}}, {{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, \
{}}, {{{}, {}, {}, {}, {}, {}, {}, {}}, {}}, {{{}, {}, {}}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.211, -7.97166860472579},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  PlotRange->{{0.22, 0.67}, {All, All}},
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Prolog->{
    LineBox[
     NCache[{{3^Rational[-1, 2], -10}, {3^Rational[-1, 2], 10}}, {{
       0.5773502691896258, -10}, {0.5773502691896258, 10}}]], 
    LineBox[{{0.5628847987495565, -10}, {0.5628847987495565, 10}}], 
    LineBox[{{0.5658210450298273, -10}, {0.5658210450298273, 10}}]},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}]}, {Automatic, {{-7.600902459542082, 
       FormBox[
        TemplateBox[{"\[Times]", "\"\[Times]\"", "5", 
          TemplateBox[{"10", 
            RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> 
           SuperscriptBox]}, "RowWithSeparators"], TraditionalForm], {0.01, 
       0.}}, {-6.907755278982137, 
       FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-5.298317366548036, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.005\"", ShowStringCharacters -> False], 
          0.005`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.010\"", ShowStringCharacters -> False], 
          0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.995732273553991, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.050\"", ShowStringCharacters -> False], 
          0.05`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.100\"", ShowStringCharacters -> False], 
          0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-0.6931471805599453, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.500\"", ShowStringCharacters -> False], 
          0.5`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-9.210340371976182, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-8.517193191416238, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-8.111728083308073, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.824046010856292, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.418580902748128, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.264430222920869, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.1308988302963465`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.013115794639964, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.214608098422191, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.809142990314028, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.521460917862246, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.115995809754082, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.961845129926823, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.8283137373023015`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.710530701645918, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.2188758248682006`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.8134107167600364`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.659260036932778, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.5257286443082556`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.4079456086518722`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.6094379124341003`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.2039728043259361`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.916290731874155, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.5108256237659907, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.35667494393873245`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.2231435513142097, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.10536051565782628`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{{3.932742396630278*^9, 3.9327424144995546`*^9}, {
   3.932742447839639*^9, 3.932742470555908*^9}, 3.932742501154447*^9, {
   3.932742548797364*^9, 3.932742954731631*^9}, {3.932743035172263*^9, 
   3.932743206053399*^9}, {3.932743245136064*^9, 3.932743424223017*^9}, {
   3.932743483567083*^9, 3.932743605277769*^9}, {3.932743636722801*^9, 
   3.932743714381294*^9}, {3.932743746757825*^9, 3.932743826359727*^9}, {
   3.932743863883753*^9, 3.932743997547783*^9}, 3.932744035510488*^9, 
   3.93274407065954*^9, {3.932744154687559*^9, 3.932744171066657*^9}, {
   3.932744448800334*^9, 3.932744485617804*^9}, 3.932744523955897*^9, 
   3.932744586411766*^9, {3.932744820652643*^9, 3.932744824476355*^9}, {
   3.932744966892871*^9, 3.9327449855132027`*^9}, {3.932745028938342*^9, 
   3.932745077349846*^9}, 3.932775406321521*^9, {3.93277549889166*^9, 
   3.932775505123302*^9}, 3.932775842433298*^9, {3.932776016536057*^9, 
   3.932776028002948*^9}, {3.932776345895613*^9, 3.932776349812449*^9}, 
   3.932777246461788*^9, 3.932777494171626*^9, 3.93277759930291*^9, 
   3.93278241186591*^9, 3.932812003971925*^9, {3.932827135253753*^9, 
   3.932827175782954*^9}, 3.93282739771509*^9, 3.9328279046541367`*^9, 
   3.932828538693534*^9, 3.932828607689024*^9, 3.932828638219002*^9, {
   3.932828775323155*^9, 3.932828804648417*^9}, 3.932829381711228*^9, 
   3.932829584578066*^9, 3.932829687167304*^9, 3.932829753580118*^9, {
   3.932830349014215*^9, 3.932830370662455*^9}, 3.932830417254873*^9, 
   3.932830483802674*^9, {3.932830603507266*^9, 3.932830650600008*^9}, {
   3.932830878460166*^9, 3.932830906967059*^9}, 3.932831222113948*^9, {
   3.932833167977345*^9, 3.9328331774953623`*^9}, 3.932866901243063*^9, 
   3.932867394886948*^9, 3.9328677578417253`*^9, 3.932869045230961*^9, 
   3.932877672695775*^9, 3.932889434084055*^9, {3.933311933372965*^9, 
   3.933311942623292*^9}, 3.933314830469591*^9, 3.933314948288542*^9, 
   3.933315044488606*^9, 3.933315117827179*^9, 3.9333152258401213`*^9, 
   3.9333154191103077`*^9, 3.933315570956916*^9, 3.9333157861596403`*^9, 
   3.933318318121373*^9, 3.933319439975029*^9, 3.93331990955374*^9, 
   3.933320855778112*^9, 3.933322924742893*^9, 3.933323186317505*^9, 
   3.933323298200925*^9, 3.93332335298956*^9, 3.933323783631224*^9, 
   3.933323873040122*^9, 3.9333239308184443`*^9, 3.9333239932293863`*^9, 
   3.933324083916263*^9, {3.933324265529394*^9, 3.933324291215434*^9}, 
   3.933325260808852*^9, 3.933325925286716*^9, 3.93332618014415*^9, 
   3.933327370761917*^9, 3.933327848304276*^9, 3.9333289669562607`*^9, 
   3.933329468914146*^9, 3.933333512036096*^9, 3.933333547728085*^9, 
   3.933335006867407*^9, 3.933335162358666*^9, 3.933338874401442*^9, 
   3.933349853880422*^9, 3.93335062309719*^9, {3.933350809353763*^9, 
   3.933350818687622*^9}, 3.933350892808874*^9, 3.933350929706706*^9, 
   3.933351028308259*^9, 3.933351221490337*^9, 3.933378805150837*^9, 
   3.933380263979814*^9, 3.9333811790101843`*^9, 3.933425778978853*^9, 
   3.933586548363879*^9, 3.933588301781197*^9, 3.933589021527622*^9, 
   3.933656418130969*^9, 3.933674429424563*^9, 3.933684207246712*^9, 
   3.933732456477181*^9, 3.933761796861334*^9, 3.93388209265482*^9, 
   3.933882636654115*^9, 3.9344538085033703`*^9, 3.934455575746295*^9, {
   3.934456572156658*^9, 3.934456590041269*^9}, 3.934458327049989*^9, 
   3.934458604800858*^9, 3.934515566158003*^9, 3.934534356809184*^9, 
   3.934534392268108*^9, 3.9345353078480988`*^9, {3.934539300731804*^9, 
   3.9345393184029303`*^9}, 3.934540129597991*^9},
 CellLabel->
  "Out[131]=",ExpressionUUID->"b775e616-2fc8-4073-ba47-b224ed44076b"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Histogram", "[", 
  RowBox[{
   RowBox[{"{", 
    RowBox[{
     RowBox[{"Abs", "@", "testdat7"}], ",", 
     RowBox[{"Abs", "@", "testdat8"}]}], "}"}], ",", "35", ",", 
   "\"\<Probability\>\"", ",", 
   RowBox[{"Prolog", "->", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax1", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax1", ",", "10"}], "}"}]}], "}"}], "]"}], ",", 
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax2", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax2", ",", "10"}], "}"}]}], "}"}], "]"}], ",", 
      RowBox[{"Line", "[", 
       RowBox[{"{", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{"mMax3", ",", 
           RowBox[{"-", "10"}]}], "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"mMax3", ",", "10"}], "}"}]}], "}"}], "]"}]}], "}"}]}]}], 
  "]"}]], "Input",
 CellChangeTimes->{{3.934456622700934*^9, 3.934456623906262*^9}, {
  3.93445667139495*^9, 3.934456673780755*^9}, {3.9345393217278957`*^9, 
  3.9345393239916487`*^9}},
 CellLabel->
  "In[132]:=",ExpressionUUID->"d5c71612-e41c-40a0-8f22-153b347f934a"],

Cell[BoxData[
 GraphicsBox[{
   {RGBColor[0.987148, 0.8073604000000001, 0.49470040000000004`], EdgeForm[{
    Opacity[0.392], Thickness[Small]}], {{}, 
     {RGBColor[0.97858, 0.678934, 0.157834], Opacity[0.5], EdgeForm[{Opacity[
      0.392], Thickness[Small]}], 
      RectangleBox[{0.512, 0.}, {0.514, 0.0017452006980802793},
       RoundingRadius->0], 
      RectangleBox[{0.538, 0.}, {0.54, 0.0017452006980802793},
       RoundingRadius->0], 
      RectangleBox[{0.54, 0.}, {0.542, 0.005235602094240838},
       RoundingRadius->0], 
      RectangleBox[{0.542, 0.}, {0.544, 0.008726003490401396},
       RoundingRadius->0], 
      RectangleBox[{0.544, 0.}, {0.546, 0.010471204188481676},
       RoundingRadius->0], 
      RectangleBox[{0.546, 0.}, {0.548, 0.015706806282722512},
       RoundingRadius->0], 
      RectangleBox[{0.548, 0.}, {0.55, 0.019197207678883072},
       RoundingRadius->0], 
      RectangleBox[{0.55, 0.}, {0.552, 0.02617801047120419},
       RoundingRadius->0], 
      RectangleBox[{0.552, 0.}, {0.554, 0.031413612565445025},
       RoundingRadius->0], 
      RectangleBox[{0.554, 0.}, {0.556, 0.06108202443280977},
       RoundingRadius->0], 
      RectangleBox[{0.556, 0.}, {0.558, 0.0506108202443281},
       RoundingRadius->0], 
      RectangleBox[{0.558, 0.}, {0.56, 0.07329842931937172},
       RoundingRadius->0], 
      RectangleBox[{0.56, 0.}, {0.562, 0.07155322862129145},
       RoundingRadius->0], 
      RectangleBox[{0.562, 0.}, {0.564, 0.08202443280977312},
       RoundingRadius->0], 
      RectangleBox[{0.564, 0.}, {0.566, 0.06806282722513089},
       RoundingRadius->0], 
      RectangleBox[{0.566, 0.}, {0.568, 0.08726003490401396},
       RoundingRadius->0], 
      RectangleBox[{0.568, 0.}, {0.57, 0.07678883071553229},
       RoundingRadius->0], 
      RectangleBox[{0.57, 0.}, {0.572, 0.04537521815008726},
       RoundingRadius->0], 
      RectangleBox[{0.572, 0.}, {0.574, 0.06806282722513089},
       RoundingRadius->0], 
      RectangleBox[{0.574, 0.}, {0.576, 0.04363001745200698},
       RoundingRadius->0], 
      RectangleBox[{0.576, 0.}, {0.578, 0.041884816753926704},
       RoundingRadius->0], 
      RectangleBox[{0.578, 0.}, {0.58, 0.031413612565445025},
       RoundingRadius->0], 
      RectangleBox[{0.58, 0.}, {0.582, 0.027923211169284468},
       RoundingRadius->0], 
      RectangleBox[{0.582, 0.}, {0.584, 0.017452006980802792},
       RoundingRadius->0], 
      RectangleBox[{0.584, 0.}, {0.586, 0.013961605584642234},
       RoundingRadius->0], 
      RectangleBox[{0.586, 0.}, {0.588, 0.0034904013961605585},
       RoundingRadius->0], 
      RectangleBox[{0.588, 0.}, {0.59, 0.005235602094240838},
       RoundingRadius->0], 
      RectangleBox[{0.59, 0.}, {0.592, 0.0034904013961605585},
       RoundingRadius->0], 
      RectangleBox[{0.592, 0.}, {0.594, 0.0034904013961605585},
       RoundingRadius->0], 
      RectangleBox[{0.594, 0.}, {0.596, 0.0034904013961605585},
       RoundingRadius->0]}, {}, {}}, {{}, 
     {RGBColor[0.368417, 0.506779, 0.709798], Opacity[0.5], EdgeForm[{Opacity[
      0.392], Thickness[Small]}], 
      RectangleBox[{0.552, 0.}, {0.554, 0.05555555555555555},
       RoundingRadius->0], 
      RectangleBox[{0.558, 0.}, {0.56, 0.05555555555555555},
       RoundingRadius->0], 
      RectangleBox[{0.56, 0.}, {0.562, 0.16666666666666666},
       RoundingRadius->0], 
      RectangleBox[{0.562, 0.}, {0.564, 0.1111111111111111},
       RoundingRadius->0], 
      RectangleBox[{0.564, 0.}, {0.566, 0.1111111111111111},
       RoundingRadius->0], 
      RectangleBox[{0.566, 0.}, {0.568, 0.05555555555555555},
       RoundingRadius->0], 
      RectangleBox[{0.568, 0.}, {0.57, 0.05555555555555555},
       RoundingRadius->0], 
      RectangleBox[{0.57, 0.}, {0.572, 0.16666666666666666},
       RoundingRadius->0], 
      RectangleBox[{0.572, 0.}, {0.574, 0.1111111111111111},
       RoundingRadius->0], 
      RectangleBox[{0.574, 0.}, {0.576, 0.1111111111111111},
       RoundingRadius->
        0]}, {}, {}}}, {{{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, \
{}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {}}, \
{{{}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {}}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.51032, 0.},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  PlotRange->{{0.512, 0.596}, {All, All}},
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Prolog->{
    LineBox[
     NCache[{{3^Rational[-1, 2], -10}, {3^Rational[-1, 2], 10}}, {{
       0.5773502691896258, -10}, {0.5773502691896258, 10}}]], 
    LineBox[{{0.5628847987495565, -10}, {0.5628847987495565, 10}}], 
    LineBox[{{0.5658210450298273, -10}, {0.5658210450298273, 10}}]},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.93445662427499*^9, 3.934456674173664*^9, 
  3.934458327872816*^9, 3.934458605485795*^9, 3.934515567802866*^9, 
  3.934534357206147*^9, 3.93453439358037*^9, 3.934535308706031*^9, 
  3.934539324478046*^9, 3.934540130218936*^9},
 CellLabel->
  "Out[132]=",ExpressionUUID->"4ecffab3-f026-461d-b513-af94d64cbec9"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Length", "/@", 
  RowBox[{"{", 
   RowBox[{
   "testdat2", ",", "testdat3", ",", "testdat4", ",", "testdat5", ",", 
    "testdat6", ",", "testdat7", ",", "testdat8"}], "}"}]}]], "Input",
 CellChangeTimes->{{3.933315830790056*^9, 3.933315839043951*^9}, {
  3.933323187989256*^9, 3.933323188934312*^9}, {3.934456311887268*^9, 
  3.934456312895072*^9}},
 CellLabel->
  "In[133]:=",ExpressionUUID->"6729ea2e-916f-4c77-ad4d-d272adeb529e"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
  "977", ",", "1000", ",", "1065", ",", "1000", ",", "1066", ",", "573", ",", 
   "18"}], "}"}]], "Output",
 CellChangeTimes->{{3.93331583257968*^9, 3.933315839260758*^9}, 
   3.9333183200470448`*^9, 3.933319442564992*^9, {3.933319906042847*^9, 
   3.933319910736731*^9}, 3.93332085758463*^9, 3.933322926674952*^9, 
   3.933323189200471*^9, 3.933323299301597*^9, 3.93332335423453*^9, 
   3.933323785263589*^9, 3.933323874918425*^9, 3.933323932384793*^9, 
   3.933323995306325*^9, 3.933324085257669*^9, {3.93332426685035*^9, 
   3.93332429217181*^9}, 3.933325261573961*^9, 3.933325927270565*^9, 
   3.933326182048544*^9, 3.933327373659232*^9, 3.933327850276997*^9, 
   3.933328968290894*^9, 3.933329469627056*^9, 3.9333335136155*^9, 
   3.933333550147236*^9, 3.933335008140473*^9, 3.9333351637952137`*^9, 
   3.9333498552058687`*^9, 3.933350624381597*^9, {3.933350815250695*^9, 
   3.933350820734359*^9}, 3.933350895117412*^9, 3.933350932130539*^9, 
   3.933351030309966*^9, 3.933351223005116*^9, 3.933378825027375*^9, 
   3.933380266128498*^9, 3.933381180940559*^9, 3.9334257796070843`*^9, 
   3.93358659403225*^9, 3.933586907419921*^9, 3.933588304539248*^9, 
   3.933589022867452*^9, 3.933656419758029*^9, 3.933674430288157*^9, 
   3.933684208384455*^9, 3.933761800077931*^9, 3.933882093219466*^9, 
   3.9338826397916737`*^9, 3.934453810294463*^9, 3.93445434908902*^9, 
   3.9344547417181997`*^9, 3.934455578542321*^9, 3.934456313275104*^9, 
   3.934458329503232*^9, 3.9344586064921303`*^9, 3.934515569075493*^9, 
   3.934534395511795*^9, 3.934535309339665*^9, 3.934539328160946*^9, 
   3.9345401314132566`*^9},
 CellLabel->
  "Out[133]=",ExpressionUUID->"16ffcae8-c60a-4d71-8eff-cb2c15276070"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"fittest1", "=", 
  RowBox[{"LinearModelFit", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"Log", "@", 
       RowBox[{"Around", "[", 
        RowBox[{
         RowBox[{"Mean", "[", "#", "]"}], ",", 
         RowBox[{
          RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
          SqrtBox[
           RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}]}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"(", "mMax3", ")"}], "-", 
       RowBox[{"Abs", "@", 
        RowBox[{"{", 
         RowBox[{"testdat4", ",", "testdat5", ",", "testdat6"}], "}"}]}]}], 
      ")"}]}], ",", "x", ",", "x"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.933327411400568*^9, 3.933327427495914*^9}, {
  3.934454359966218*^9, 3.934454364454646*^9}, {3.934454611704898*^9, 
  3.934454635096731*^9}, {3.934454768798436*^9, 3.934454777390574*^9}},
 CellLabel->
  "In[112]:=",ExpressionUUID->"04e6644b-90a9-4b4e-90ba-9f54a0b030a5"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   TagBox["FittedModel",
    "SummaryHead"], "[", 
   DynamicModuleBox[{Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, 
    
    TemplateBox[{
      PaneSelectorBox[{False -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"-", "2.247717606544234`"}], "-", 
                   RowBox[{"0.7705261095304607`", " ", "x"}]}], Short], 
                "SummaryItem"]}}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> 
             False, GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{Automatic}}},
              BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          AutoDelete -> False, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
          BaselinePosition -> {1, 1}], True -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"-", "2.247717606544234`"}], "-", 
                   RowBox[{"0.7705261095304607`", " ", "x"}]}], Short], 
                "SummaryItem"]}}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> 
             False, GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{Automatic}}},
              BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          AutoDelete -> False, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
          BaselinePosition -> {1, 1}]}, 
       Dynamic[Typeset`open$$], ImageSize -> Automatic]},
     "SummaryPanel"],
    DynamicModuleValues:>{}], "]"}],
  FittedModel[{
   "Linear", {-2.247717606544234, -0.7705261095304607}, {{$CellContext`x}, {
     1, $CellContext`x}}, {0, 0}}, {{1084.771154596802, 643.0181086516898, 
   357.6368428977414}}, {{1, 
     Around[-3.034622703287792, 0.030362039146316223`]}, {2, 
     Around[-3.7335071428557325`, 0.03943559503265716]}, {3, 
     Around[-4.608976087567104, 0.05287846916328036]}}, {{1., 1.}, {1., 2.}, {
   1., 3.}}, 
   Function[Null, 
    Internal`LocalizedBlock[{$CellContext`x}, #], {HoldAll}]],
  Editable->False,
  SelectWithContents->True,
  Selectable->False]], "Output",
 CellChangeTimes->{{3.933327412574132*^9, 3.933327427660421*^9}, 
   3.933327850915924*^9, 3.933328969107061*^9, 3.933329470293433*^9, 
   3.93333351432743*^9, 3.933335009068445*^9, 3.933335164967711*^9, 
   3.933349856582277*^9, 3.933350625068188*^9, 3.933350895936488*^9, 
   3.93335093355758*^9, 3.93335103137745*^9, 3.933351224116168*^9, 
   3.933378826130872*^9, 3.933380267337307*^9, 3.933381181970826*^9, 
   3.933425779864909*^9, 3.933586908614459*^9, 3.933588305421236*^9, 
   3.933589024137838*^9, 3.933656420063429*^9, 3.933674430401177*^9, 
   3.93368420923544*^9, 3.933761801047251*^9, 3.933882093402763*^9, 
   3.933882640581381*^9, 3.9344538110935163`*^9, {3.934454357232455*^9, 
   3.934454364693713*^9}, {3.934454612038004*^9, 3.934454635426583*^9}, {
   3.934454742228858*^9, 3.934454777583322*^9}, 3.934455579287985*^9, 
   3.934458330594358*^9, 3.934515570211307*^9, 3.934534400495366*^9, 
   3.934535310079324*^9, 3.9345393326235657`*^9},
 CellLabel->
  "Out[112]=",ExpressionUUID->"fb5097ef-27b9-4507-a7ab-ed635f94e150"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"ListLogPlot", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Around", "[", 
       RowBox[{
        RowBox[{"Mean", "[", "#", "]"}], ",", 
        RowBox[{
         RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
         SqrtBox[
          RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"(", "mMax3", ")"}], "-", 
       RowBox[{"Abs", "@", 
        RowBox[{"{", 
         RowBox[{
         "testdat2", ",", "testdat3", ",", "testdat4", ",", "testdat5", ",", 
          "testdat6", ",", "testdat7", ",", "testdat8"}], "}"}]}]}], ")"}]}], 
    "]"}], ",", 
   RowBox[{"LogPlot", "[", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"fittest1", "[", 
       RowBox[{"x", "-", "2"}], "]"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "8"}], "}"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.933314533504914*^9, 3.933314547784113*^9}, {
  3.933314583368849*^9, 3.933314697495349*^9}, {3.9333154350771503`*^9, 
  3.933315435748162*^9}, {3.933327439342664*^9, 3.933327451409759*^9}, {
  3.9344543706401463`*^9, 3.934454371133278*^9}, {3.934454573592712*^9, 
  3.934454575461878*^9}, {3.934454613671974*^9, 3.934454637733389*^9}, {
  3.934454771111467*^9, 3.934454774837607*^9}, {3.934454896709593*^9, 
  3.934454918380809*^9}, {3.934539343761154*^9, 3.934539346897223*^9}},
 CellLabel->
  "In[114]:=",ExpressionUUID->"4f6ec33b-2722-4715-8283-2253119f6e1c"],

Cell[BoxData[
 GraphicsBox[{{{{
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{1., -1.3296827232633186`}, {1., -1.3099175632493198`}}], 
          LineBox[{{1., -1.3099175632493198`}, {1., -1.2905355049489804`}}]}},
        
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{2., -2.1796036346704266`}, {2., -2.152564471635376}}], 
          LineBox[{{2., -2.152564471635376}, {2., -2.126237217741179}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{3., -3.0654552166757956`}, {3., -3.034622703287792}}], 
          LineBox[{{3., -3.034622703287792}, {3., -3.0047124684890916`}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{4., -3.773741388293342}, {4., -3.7335071428557325`}}], 
          LineBox[{{4., -3.7335071428557325`}, {4., -3.694829274099797}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{5., -4.663303949140131}, {5., -4.608976087567104}}], 
          LineBox[{{5., -4.608976087567104}, {5., -4.557448274975981}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{6., -9.637790583091393}, {6., -7.613342993136609}}], 
          LineBox[{{6., -7.613342993136609}, {6., -6.988510402392843}}]}},
        Antialiasing->False]}, {}}, {}}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
         0.012833333333333334`], AbsoluteThickness[2], 
         PointBox[{{1., -1.3099175632493198`}, {2., -2.152564471635376}, {
          3., -3.034622703287792}, {4., -3.7335071428557325`}, {
          5., -4.608976087567104}, {6., -7.613342993136609}}]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              
              Point[{{1., -1.3099175632493198`}, {2., -2.152564471635376}, {
               3., -3.034622703287792}, {4., -3.7335071428557325`}, {
               5., -4.608976087567104}, {6., -7.613342993136609}}]}, 
             "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{
               0., 6}, {-10.291010663877904`, -1.2905355049489804`}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0., -10.291010663877904`}, 
             "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
             "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
             "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                RGBColor[0.368417, 0.506779, 0.709798], 
                AbsoluteThickness[2]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 Identity[
                  Part[#, 1]], 
                 Exp[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
             "Primitives" -> {}, "GCFlag" -> False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{
              0., 6}, {-10.291010663877904`, -1.2905355049489804`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0., -10.291010663877904`}, 
            "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                Identity[
                 Part[#, 1]], 
                Exp[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          
          Point[{{1., -1.3099175632493198`}, {2., -2.152564471635376}, {
           3., -3.034622703287792}, {4., -3.7335071428557325`}, {
           5., -4.608976087567104}, {6., -7.613342993136609}}]}, 
         "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{
           0., 6}, {-10.291010663877904`, -1.2905355049489804`}}, 
         "Frame" -> {{False, False}, {False, False}}, 
         "AxesOrigin" -> {0., -10.291010663877904`}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[2]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             Identity[
              Part[#, 1]], 
             Exp[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
         "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}, 
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
          Opacity[1.], LineBox[CompressedData["
1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAASmXo0cDphT7mb5j+AJ3mvwRDGnDf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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAASmXo0cDphT7mb5j+AJ3mvwRDGnDf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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 8}, {-6.870874137926817, 0.}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, -7.252589367811624}, 
            "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                Identity[
                 Part[#, 1]], 
                Exp[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 8}, {-6.870874137926817, 0.}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, -7.252589367811624}, 
           "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
           "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Exp[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
           "Primitives" -> {}, "GCFlag" -> False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwB4QQe+yFib1JlAgAAAE0AAAACAAAASmXo0cDphT7mb5j+AJ3mvwRDGnDf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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 8}, {-6.870874137926817, 0.}}, 
        "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0, -7.252589367811624}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            Identity[
             Part[#, 1]], 
            Exp[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
        "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]]},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0., -10.291010663877904`},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.368417, 0.506779, 0.709798], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.880722, 0.611041, 0.142051], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.560181, 0.691569, 0.194885], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.528488, 0.470624, 0.701351], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.363898, 0.618501, 0.782349], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1, 0.75, 0], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.647624, 0.37816, 0.614037], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.571589, 0.586483, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentPoint", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 6}, {-10.291010663877904`, -1.2905355049489804`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0]}, {
    Automatic, {{-9.210340371976182, 
       FormBox[
        TemplateBox[{"10", 
          RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
        TraditionalForm], {0.01, 0.}}, {-6.907755278982137, 
       FormBox["0.001`", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.010\"", ShowStringCharacters -> False], 
          0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.100\"", ShowStringCharacters -> False], 
          0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
       0.}}, {-13.815510557964274`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-13.122363377404328`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-12.716898269296165`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-12.429216196844383`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-12.206072645530174`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-12.02375108873622, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.86960040890896, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.736069016284437`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.618285980628055`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-11.512925464970229`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-10.819778284410283`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-10.41431317630212, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-10.126631103850338`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.903487552536127, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.721165995742174, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.567015315914915, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.433483923290392, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-9.315700887634009, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-8.517193191416238, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-8.111728083308073, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.824046010856292, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.600902459542082, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.418580902748128, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.264430222920869, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.1308988302963465`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-7.013115794639964, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.214608098422191, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.809142990314028, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.521460917862246, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.298317366548036, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.115995809754082, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.961845129926823, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.8283137373023015`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.710530701645918, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.2188758248682006`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.995732273553991, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.8134107167600364`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.659260036932778, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.5257286443082556`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.4079456086518722`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.6094379124341003`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.2039728043259361`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.916290731874155, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.6931471805599453, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.5108256237659907, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.35667494393873245`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.2231435513142097, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.10536051565782628`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{
  3.933314548051053*^9, {3.933314592678224*^9, 3.9333145951242037`*^9}, {
   3.9333146399681273`*^9, 3.933314697725526*^9}, 3.933315047818658*^9, 
   3.933315119465296*^9, 3.93331522762116*^9, {3.933315421251523*^9, 
   3.933315436014288*^9}, 3.933315572410055*^9, 3.933315623245983*^9, 
   3.933315787632036*^9, 3.9333183217987947`*^9, {3.933319883931234*^9, 
   3.933319911375183*^9}, 3.933320858660698*^9, 3.933322927468836*^9, 
   3.933323190040077*^9, 3.93332330087798*^9, 3.933323354897191*^9, 
   3.933323786511548*^9, 3.933323875765297*^9, 3.933323933304946*^9, 
   3.933323996072947*^9, 3.933324086098012*^9, {3.933324268186767*^9, 
   3.93332429294595*^9}, 3.933325262547035*^9, 3.933325928134894*^9, 
   3.933326182751448*^9, 3.933327374823097*^9, {3.933327448175918*^9, 
   3.933327451744962*^9}, 3.933327851739109*^9, 3.933328970175115*^9, 
   3.933329471130218*^9, 3.9333335153167686`*^9, 3.9333350098228073`*^9, 
   3.933335165921948*^9, 3.933349857607873*^9, 3.933350625827676*^9, 
   3.93335089668617*^9, 3.933350934588551*^9, 3.933351032266108*^9, 
   3.933351225111496*^9, 3.933378827109551*^9, 3.933380268361484*^9, 
   3.933381182697356*^9, 3.933425780166501*^9, 3.933586595745242*^9, 
   3.933586909799162*^9, 3.933588306105925*^9, 3.933589025152458*^9, 
   3.9336564205860977`*^9, 3.93367443084011*^9, 3.933684210270096*^9, 
   3.933761801956904*^9, 3.933882093994439*^9, 3.933882641496805*^9, 
   3.934453811830559*^9, {3.934454366984423*^9, 3.934454371366502*^9}, 
   3.934454575906486*^9, {3.934454613974022*^9, 3.934454637964063*^9}, {
   3.934454742917922*^9, 3.934454778854512*^9}, {3.934454904811509*^9, 
   3.934454918621932*^9}, 3.934455580311879*^9, 3.934458331404948*^9, 
   3.934515571386568*^9, 3.934535311076537*^9, {3.934539338569912*^9, 
   3.934539347348751*^9}},
 CellLabel->
  "Out[114]=",ExpressionUUID->"5be51ba2-190b-4fa2-8bc7-810e619b8875"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"fittest", "=", 
  RowBox[{"LinearModelFit", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"Log", "@", 
       RowBox[{"Around", "[", 
        RowBox[{
         RowBox[{"Mean", "[", "#", "]"}], ",", 
         RowBox[{
          RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
          SqrtBox[
           RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}]}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{"mMax1", "-", 
       RowBox[{"Abs", "@", 
        RowBox[{"{", 
         RowBox[{
         "testdat5", ",", "testdat6", ",", "testdat7", ",", "testdat8"}], 
         "}"}]}]}], ")"}]}], ",", "x", ",", "x"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.933319939167344*^9, 3.933319962062771*^9}, {
   3.933732473373189*^9, 3.933732474553158*^9}, {3.934454791353747*^9, 
   3.93445479184977*^9}, 3.9345393542247753`*^9},
 CellLabel->
  "In[115]:=",ExpressionUUID->"c699da20-b8e1-4d8d-b830-d061605f160c"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   TagBox["FittedModel",
    "SummaryHead"], "[", 
   DynamicModuleBox[{Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, 
    
    TemplateBox[{
      PaneSelectorBox[{False -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"-", "2.8231044185371497`"}], "-", 
                   RowBox[{"0.5154686990296912`", " ", "x"}]}], Short], 
                "SummaryItem"]}}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> 
             False, GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{Automatic}}},
              BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          AutoDelete -> False, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
          BaselinePosition -> {1, 1}], True -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"-", "2.8231044185371497`"}], "-", 
                   RowBox[{"0.5154686990296912`", " ", "x"}]}], Short], 
                "SummaryItem"]}}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, AutoDelete -> 
             False, GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {"Columns" -> {{2}}, "Rows" -> {{Automatic}}},
              BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}]}}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          AutoDelete -> False, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
          BaselinePosition -> {1, 1}]}, 
       Dynamic[Typeset`open$$], ImageSize -> Automatic]},
     "SummaryPanel"],
    DynamicModuleValues:>{}], "]"}],
  FittedModel[{
   "Linear", {-2.8231044185371497`, -0.5154686990296912}, {{$CellContext`x}, {
     1, $CellContext`x}}, {0, 0}}, {{1412.6878464872914`, 1664.4504186974987`,
    786.9041509558895, 53.638216493825176`}}, {{1, 
     Around[-3.3399688647329566`, 0.026605835131095847`]}, {2, 
     Around[-3.8401099861489447`, 0.02451119971810141]}, {3, 
     Around[-4.420930268361347, 0.03564832116770754]}, {4, 
     Around[-4.526180355129271, 0.1365409234012372]}}, {{1., 1.}, {1., 2.}, {
   1., 3.}, {1., 4.}}, 
   Function[Null, 
    Internal`LocalizedBlock[{$CellContext`x}, #], {HoldAll}]],
  Editable->False,
  SelectWithContents->True,
  Selectable->False]], "Output",
 CellChangeTimes->{{3.933319951306982*^9, 3.933319962371007*^9}, 
   3.933320861414138*^9, 3.933322929540431*^9, 3.933323192459327*^9, 
   3.933323306692953*^9, 3.933323357047616*^9, 3.933323789202457*^9, 
   3.933323878042815*^9, 3.9333239356598587`*^9, 3.933323999550365*^9, 
   3.93332408810582*^9, {3.933324270666937*^9, 3.933324294558112*^9}, 
   3.933325264602014*^9, 3.933325930887089*^9, 3.933326184581078*^9, 
   3.933327379319022*^9, 3.933327853798491*^9, 3.933328975457896*^9, 
   3.933329473156392*^9, 3.933333518507026*^9, 3.933335011869015*^9, 
   3.933335167688498*^9, 3.933338887176316*^9, 3.933349860136321*^9, 
   3.933350627488044*^9, 3.933350901559125*^9, 3.9333509372031317`*^9, 
   3.933351035243598*^9, 3.93335122684774*^9, 3.933378830069906*^9, 
   3.933380271962384*^9, 3.933381184562094*^9, 3.933425780420783*^9, 
   3.9335866011748047`*^9, 3.93358695674737*^9, 3.933588308512599*^9, 
   3.933589027260793*^9, 3.933656442552443*^9, 3.933656921977204*^9, 
   3.933674432510911*^9, {3.9336842156591597`*^9, 3.9336842438181148`*^9}, 
   3.93373247515973*^9, 3.933761803421789*^9, 3.93388209467387*^9, 
   3.93388264334674*^9, 3.934453826397777*^9, 3.934454496761171*^9, 
   3.934454792117689*^9, 3.934455581786953*^9, 3.934458332273429*^9, 
   3.9345155741595078`*^9, 3.9345344031359*^9, 3.9345353119237757`*^9, 
   3.9345393548221207`*^9},
 CellLabel->
  "Out[115]=",ExpressionUUID->"ed5e4ad1-67a3-4c9b-a847-6f8e34d62b0a"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"Around", "[", 
    RowBox[{
     RowBox[{"Mean", "[", "#", "]"}], ",", 
     RowBox[{
      RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
      SqrtBox[
       RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}], "&"}], "/@", 
  RowBox[{"(", 
   RowBox[{"mMax1", "-", 
    RowBox[{"Abs", "@", 
     RowBox[{"{", 
      RowBox[{
      "testdat2", ",", "testdat3", ",", "testdat4", ",", "testdat5", ",", 
       "testdat6", ",", "testdat7", ",", "testdat8"}], "}"}]}]}], 
   ")"}]}]], "Input",
 CellChangeTimes->{{3.9345393573682117`*^9, 3.9345393592962923`*^9}},
 CellLabel->
  "In[116]:=",ExpressionUUID->"a50d66f9-04d2-4491-ae90-63cb096c85d3"],

Cell[BoxData[
 RowBox[{"{", 
  RowBox[{
   InterpretationBox[
    TemplateBox[{"0.281", "0.005"},
     "Around"],
    Around[0.2813715245500513, 0.005281113294889822]], ",", 
   InterpretationBox[
    TemplateBox[{"0.1277", "0.0031"},
     "Around"],
    Around[0.12771504431739333`, 0.0030994748927022095`]], ",", 
   InterpretationBox[
    TemplateBox[{"0.0596", "0.0015"},
     "Around"],
    Around[0.059622028869849214`, 0.0014601956192627002`]], ",", 
   InterpretationBox[
    TemplateBox[{"0.0354", "0.0009"},
     "Around"],
    Around[0.035438061077917055`, 0.0009428592104047659]], ",", 
   InterpretationBox[
    TemplateBox[{"0.0215", "0.0005"},
     "Around"],
    Around[0.0214912374766498, 0.000526776013979309]], ",", 
   InterpretationBox[
    TemplateBox[{"0.0120", "0.0004"},
     "Around"],
    Around[0.012023042424769512`, 0.0004286012777711568]], ",", 
   InterpretationBox[
    TemplateBox[{"0.0108", "0.0015"},
     "Around"],
    Around[0.010821933170377348`, 0.0014776367480698013`]]}], "}"}]], "Output",\

 CellChangeTimes->{3.934455765670926*^9, 3.934458333336471*^9, 
  3.934515574888485*^9, 3.934534403844996*^9, 3.9345353124851313`*^9, 
  3.9345393595288467`*^9},
 CellLabel->
  "Out[116]=",ExpressionUUID->"5497b13c-df4a-4ed3-b151-89ef7aae2f89"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"Show", "[", 
  RowBox[{
   RowBox[{"ListLogPlot", "[", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{"Around", "[", 
        RowBox[{
         RowBox[{"Mean", "[", "#", "]"}], ",", 
         RowBox[{
          RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
          SqrtBox[
           RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}], "&"}], "/@", 
      RowBox[{"(", 
       RowBox[{"mMax1", "-", 
        RowBox[{"Abs", "@", 
         RowBox[{"{", 
          RowBox[{
          "testdat2", ",", "testdat3", ",", "testdat4", ",", "testdat5", ",", 
           "testdat6", ",", "testdat7", ",", "testdat8"}], "}"}]}]}], ")"}]}],
      ",", 
     RowBox[{"Epilog", "->", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Line", "[", 
         RowBox[{"{", 
          RowBox[{
           RowBox[{"{", 
            RowBox[{"0", ",", 
             RowBox[{"Log", "[", 
              RowBox[{"mMax1", "-", 
               RowBox[{"(", "mMax2", ")"}]}], "]"}]}], "}"}], ",", 
           RowBox[{"{", 
            RowBox[{"100", ",", 
             RowBox[{"Log", "[", 
              RowBox[{
               RowBox[{"(", "mMax1", ")"}], "-", 
               RowBox[{"(", "mMax2", ")"}]}], "]"}]}], "}"}]}], "}"}], "]"}], 
        ",", 
        RowBox[{"{", 
         RowBox[{"Dashed", ",", 
          RowBox[{"Line", "[", 
           RowBox[{"{", 
            RowBox[{
             RowBox[{"{", 
              RowBox[{"0", ",", 
               RowBox[{"Log", "[", 
                RowBox[{
                 RowBox[{"(", "mMax1", ")"}], "-", 
                 RowBox[{"(", "mMax3", ")"}]}], "]"}]}], "}"}], ",", 
             RowBox[{"{", 
              RowBox[{"100", ",", 
               RowBox[{"Log", "[", 
                RowBox[{
                 RowBox[{"(", "mMax1", ")"}], "-", 
                 RowBox[{"(", "mMax3", ")"}]}], "]"}]}], "}"}]}], "}"}], 
           "]"}]}], "}"}]}], "}"}]}]}], "]"}], ",", 
   RowBox[{"LogPlot", "[", 
    RowBox[{
     RowBox[{"Exp", "[", 
      RowBox[{"fittest", "[", 
       RowBox[{"x", "-", "3"}], "]"}], "]"}], ",", 
     RowBox[{"{", 
      RowBox[{"x", ",", "0", ",", "10"}], "}"}]}], "]"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.933314557355091*^9, 3.933314574322883*^9}, 
   3.9333147305880003`*^9, {3.9333147748572*^9, 3.933314775720537*^9}, {
   3.933315439749201*^9, 3.933315543952949*^9}, {3.933319967999023*^9, 
   3.933320003152988*^9}, {3.9333200643564*^9, 3.933320068899357*^9}, {
   3.933732478934451*^9, 3.933732480385178*^9}, {3.934453916825952*^9, 
   3.934453934830053*^9}, {3.934454501670981*^9, 3.934454539789284*^9}, {
   3.9344547995126038`*^9, 3.934454812376872*^9}, {3.934454845081508*^9, 
   3.934454878449999*^9}, {3.934539368904941*^9, 3.9345393780734262`*^9}},
 CellLabel->
  "In[119]:=",ExpressionUUID->"e5d2c2e9-65d2-42b6-87d6-57bf360d129a"],

Cell[BoxData[
 GraphicsBox[{{{{
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{1., -1.2870268898951676`}, {1., -1.2680793314972671`}}], 
          LineBox[{{1., -1.2680793314972671`}, {1., -1.2494841173503894`}}]}},
        
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{2., -2.082521725180699}, {2., -2.0579537130362153`}}], 
          LineBox[{{2., -2.0579537130362153`}, {2., -2.033974842984144}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{3., -2.8445259254388824`}, {3., -2.8197301612902668`}}], 
          LineBox[{{3., -2.8197301612902668`}, {3., -2.7955343800232284`}}]}},
        
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{4., -3.3669350409208203`}, {4., -3.3399688647329566`}}], 
          LineBox[{{4., -3.3399688647329566`}, {4., -3.3137108096667083`}}]}},
        
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{5., -3.86492658613649}, {5., -3.8401099861489447`}}], 
          LineBox[{{5., -3.8401099861489447`}, {5., -3.815894365625007}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{6., -4.457229507193987}, {6., -4.420930268361347}}], 
          LineBox[{{6., -4.420930268361347}, {6., -4.385902640485406}}]}},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{{}, {
          LineBox[{{7., -4.672989130121662}, {7., -4.526180355129271}}], 
          LineBox[{{7., -4.526180355129271}, {7., -4.398190983194996}}]}},
        Antialiasing->False]}}, {
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{1., -1.2494841173503894`}, 
             Offset[{3, 0}, {1., -1.2494841173503894`}]}, {{
             1., -1.2494841173503894`}, 
             Offset[{-3, 0}, {1., -1.2494841173503894`}]}, {{
             1., -1.2870268898951676`}, 
             Offset[{3, 0}, {1., -1.2870268898951676`}]}, {{
             1., -1.2870268898951676`}, 
             Offset[{-3, 0}, {1., -1.2870268898951676`}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{2., -2.033974842984144}, 
             Offset[{3, 0}, {2., -2.033974842984144}]}, {{
             2., -2.033974842984144}, 
             Offset[{-3, 0}, {2., -2.033974842984144}]}, {{
             2., -2.082521725180699}, 
             Offset[{3, 0}, {2., -2.082521725180699}]}, {{
             2., -2.082521725180699}, 
             Offset[{-3, 0}, {2., -2.082521725180699}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{3., -2.7955343800232284`}, 
             Offset[{3, 0}, {3., -2.7955343800232284`}]}, {{
             3., -2.7955343800232284`}, 
             Offset[{-3, 0}, {3., -2.7955343800232284`}]}, {{
             3., -2.8445259254388824`}, 
             Offset[{3, 0}, {3., -2.8445259254388824`}]}, {{
             3., -2.8445259254388824`}, 
             Offset[{-3, 0}, {3., -2.8445259254388824`}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{4., -3.3137108096667083`}, 
             Offset[{3, 0}, {4., -3.3137108096667083`}]}, {{
             4., -3.3137108096667083`}, 
             Offset[{-3, 0}, {4., -3.3137108096667083`}]}, {{
             4., -3.3669350409208203`}, 
             Offset[{3, 0}, {4., -3.3669350409208203`}]}, {{
             4., -3.3669350409208203`}, 
             Offset[{-3, 0}, {4., -3.3669350409208203`}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{5., -3.815894365625007}, 
             Offset[{3, 0}, {5., -3.815894365625007}]}, {{
             5., -3.815894365625007}, 
             Offset[{-3, 0}, {5., -3.815894365625007}]}, {{
             5., -3.86492658613649}, 
             Offset[{3, 0}, {5., -3.86492658613649}]}, {{
             5., -3.86492658613649}, 
             Offset[{-3, 0}, {5., -3.86492658613649}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{6., -4.385902640485406}, 
             Offset[{3, 0}, {6., -4.385902640485406}]}, {{
             6., -4.385902640485406}, 
             Offset[{-3, 0}, {6., -4.385902640485406}]}, {{
             6., -4.457229507193987}, 
             Offset[{3, 0}, {6., -4.457229507193987}]}, {{
             6., -4.457229507193987}, 
             Offset[{-3, 0}, {6., -4.457229507193987}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}, 
      {RGBColor[0.368417, 0.506779, 0.709798], 
       StyleBox[{
         GeometricTransformationBox[
          LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
         GeometricTransformationBox[
          LineBox[{{{7., -4.398190983194996}, 
             Offset[{3, 0}, {7., -4.398190983194996}]}, {{
             7., -4.398190983194996}, 
             Offset[{-3, 0}, {7., -4.398190983194996}]}, {{
             7., -4.672989130121662}, 
             Offset[{3, 0}, {7., -4.672989130121662}]}, {{
             7., -4.672989130121662}, 
             Offset[{-3, 0}, {7., -4.672989130121662}]}}], {{{1., 0.}, {0., 
           1.}}, {0., 0.}}]},
        Antialiasing->False]}}}, 
    InterpretationBox[{
      TagBox[
       TagBox[
        {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
         0.012833333333333334`], AbsoluteThickness[2], 
         PointBox[{{1., -1.2680793314972671`}, {2., -2.0579537130362153`}, {
          3., -2.8197301612902668`}, {4., -3.3399688647329566`}, {
          5., -3.8401099861489447`}, {6., -4.420930268361347}, {
          7., -4.526180355129271}}]},
        Annotation[#, "Charting`Private`Tag#1"]& ],
       {"WolframDynamicHighlight", <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
      StyleBox[
       DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
         Slot["HighlightElements"], 
         Slot["LayoutOptions"], 
         Slot["Meta"], 
         Charting`HighlightActionFunction["DynamicHighlight", {{
            Annotation[{
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              
              Point[{{1., -1.2680793314972671`}, {2., -2.0579537130362153`}, {
               3., -2.8197301612902668`}, {4., -3.3399688647329566`}, {
               5., -3.8401099861489447`}, {6., -4.420930268361347}, {
               7., -4.526180355129271}}]}, "Charting`Private`Tag#1"]}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
             "PlotRange" -> {{0., 
              7.}, {-4.940897825864207, -1.2494841173503894`}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0., -4.940897825864207}, 
             "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
             "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
             "DefaultStyle" -> {
               Directive[
                PointSize[0.012833333333333334`], 
                RGBColor[0.368417, 0.506779, 0.709798], 
                AbsoluteThickness[2]]}, 
             "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                 Identity[
                  Part[#, 1]], 
                 Exp[
                  Part[#, 2]]}& ), 
               "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
             "Primitives" -> {}, "GCFlag" -> False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, 
             "Function" -> ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 
             7.}, {-4.940897825864207, -1.2494841173503894`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0., -4.940897825864207}, 
            "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                Identity[
                 Part[#, 1]], 
                Exp[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>],
        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
         4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{
        Annotation[{
          Directive[
           PointSize[0.012833333333333334`], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          
          Point[{{1., -1.2680793314972671`}, {2., -2.0579537130362153`}, {
           3., -2.8197301612902668`}, {4., -3.3399688647329566`}, {
           5., -3.8401099861489447`}, {6., -4.420930268361347}, {
           7., -4.526180355129271}}]}, "Charting`Private`Tag#1"]}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
         "PlotRange" -> {{0., 
          7.}, {-4.940897825864207, -1.2494841173503894`}}, 
         "Frame" -> {{False, False}, {False, False}}, 
         "AxesOrigin" -> {0., -4.940897825864207}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
         "DefaultStyle" -> {
           Directive[
            PointSize[0.012833333333333334`], 
            RGBColor[0.368417, 0.506779, 0.709798], 
            AbsoluteThickness[2]]}, 
         "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
             Identity[
              Part[#, 1]], 
             Exp[
              Part[#, 2]]}& ), 
           "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
         "Primitives" -> {}, "GCFlag" -> False|>, 
       "Meta" -> <|
        "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
         ListPlot, "GroupHighlight" -> False|>|>, 
      "DynamicHighlight"]], {{}, {}}}, 
   InterpretationBox[{
     TagBox[{{{}, {}, 
        TagBox[
         {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[2], 
          Opacity[1.], LineBox[CompressedData["
1:eJwVxXk4lAkcAOCxzmaQcTVfmjF8lty6nk2H7+foKVfPYqSIcitHrtnKUVJI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           "]]},
         Annotation[#, "Charting`Private`Tag#1"]& ]}, {}},
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{{{}, {}, 
            Annotation[{
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]], 
              Line[CompressedData["
1:eJwVxXk4lAkcAOCxzmaQcTVfmjF8lty6nk2H7+foKVfPYqSIcitHrtnKUVJI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               "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0, 
              10}, {-6.431385206547294, -1.2766984266457697`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, -6.431385206547279}, 
            "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
            "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
            "DefaultStyle" -> {
              Directive[
               Opacity[1.], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                Identity[
                 Part[#, 1]], 
                Exp[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
            "Primitives" -> {}, "GCFlag" -> False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            Plot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0, 
             10}, {-6.431385206547294, -1.2766984266457697`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0, -6.431385206547279}, 
           "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
           "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
           "DefaultStyle" -> {
             Directive[
              Opacity[1.], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Exp[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
           "Primitives" -> {}, "GCFlag" -> False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           Plot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{{{}, {}, 
        Annotation[{
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]], 
          Line[CompressedData["
1:eJwVxXk4lAkcAOCxzmaQcTVfmjF8lty6nk2H7+foKVfPYqSIcitHrtnKUVJI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           "]]}, "Charting`Private`Tag#1"]}}, {}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0, 10}, {-6.431385206547294, -1.2766984266457697`}}, 
        "Frame" -> {{False, False}, {False, False}}, 
        "AxesOrigin" -> {0, -6.431385206547279}, 
        "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
        "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           Opacity[1.], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            Identity[
             Part[#, 1]], 
            Exp[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {Log, Exp}}|>, 
        "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        Plot, "GroupHighlight" -> False|>|>, "DynamicHighlight"]]},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0., -4.940897825864207},
  DisplayFunction->Identity,
  Epilog->{
    LineBox[{{0, -4.235990818437241}, {100, -4.235990818437241}}], {
     Dashing[{Small, Small}], 
     LineBox[{{0, -4.462870235794434}, {100, -4.462870235794434}}]}},
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0], 
     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.368417, 0.506779, 0.709798], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.880722, 0.611041, 0.142051], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.560181, 0.691569, 0.194885], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.528488, 0.470624, 0.701351], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.363898, 0.618501, 0.782349], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1, 0.75, 0], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.647624, 0.37816, 0.614037], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.571589, 0.586483, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentPoint", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Exp[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 7.}, {-4.940897825864207, -1.2494841173503894`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->FrontEndValueCache[{Automatic, 
     Charting`ScaledTicks[{Log, Exp}, {Log, Exp}, "Nice", WorkingPrecision -> 
      15.954589770191003`, RotateLabel -> 0]}, {
    Automatic, {{-4.605170185988091, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.01\"", ShowStringCharacters -> False], 
          0.01`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.995732273553991, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.05\"", ShowStringCharacters -> False], 
          0.05`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 
       0.}}, {-2.3025850929940455`, 
       FormBox[
        TagBox[
         InterpretationBox[
          StyleBox["\"0.10\"", ShowStringCharacters -> False], 
          0.1`15.954589770191003, AutoDelete -> True], NumberForm[#, {
           DirectedInfinity[1], 2}]& ], TraditionalForm], {0.01, 
       0.}}, {-6.907755278982137, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-6.214608098422191, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.809142990314028, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.521460917862246, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.298317366548036, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-5.115995809754082, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.961845129926823, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.8283137373023015`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-4.710530701645918, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.912023005428146, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.506557897319982, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-3.2188758248682006`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.8134107167600364`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.659260036932778, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.5257286443082556`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-2.4079456086518722`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.6094379124341003`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-1.2039728043259361`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.916290731874155, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.6931471805599453, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.5108256237659907, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.35667494393873245`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.2231435513142097, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}, {-0.10536051565782628`, 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., 
       FormBox[
        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
       0.}}}}]]], "Output",
 CellChangeTimes->{
  3.933314569480459*^9, 3.933314776014255*^9, 3.933315050096611*^9, 
   3.933315124875785*^9, 3.933315230937805*^9, {3.933315424646577*^9, 
   3.933315440629271*^9}, {3.933315508222565*^9, 3.933315544240052*^9}, 
   3.933315574273364*^9, 3.933315789646701*^9, 3.933318325316091*^9, 
   3.93331991601045*^9, {3.9333199835295067`*^9, 3.93332000354528*^9}, {
   3.9333200648487883`*^9, 3.933320069161152*^9}, 3.93332086227534*^9, 
   3.9333229304576607`*^9, 3.933323193315436*^9, 3.933323307491337*^9, 
   3.93332335793868*^9, 3.933323790412924*^9, 3.933323879247266*^9, 
   3.933323936735761*^9, 3.933324000338538*^9, 3.933324088908325*^9, {
   3.933324271579736*^9, 3.933324295514286*^9}, 3.9333252656038437`*^9, 
   3.933325932027325*^9, 3.933326185611639*^9, 3.933327380257976*^9, 
   3.933327855377305*^9, 3.9333289764152803`*^9, 3.933329473976025*^9, 
   3.9333335191858463`*^9, 3.933335013084547*^9, 3.933335168692399*^9, 
   3.933338890097687*^9, 3.933349862019884*^9, 3.933350628258956*^9, 
   3.933350902661212*^9, 3.933350938280351*^9, 3.933351036122727*^9, 
   3.93335122759247*^9, 3.933378830772743*^9, 3.933380273224647*^9, 
   3.933381185655477*^9, 3.933425780560996*^9, 3.9335866019938393`*^9, 
   3.9335869574535646`*^9, 3.933588309127631*^9, 3.933589028287553*^9, 
   3.93365692259889*^9, 3.933674433161437*^9, {3.933684217189823*^9, 
   3.933684244460099*^9}, 3.933732481609768*^9, 3.933761804239264*^9, 
   3.933882095393053*^9, 3.933882644184071*^9, 3.934453827193846*^9, 
   3.934453935133416*^9, {3.934454497921747*^9, 3.934454540440021*^9}, {
   3.9344547954190073`*^9, 3.934454814220735*^9}, {3.9344548614448547`*^9, 
   3.934454878683254*^9}, 3.9344555826454353`*^9, 3.934458335159677*^9, 
   3.934515577508449*^9, 3.9345344051730213`*^9, 3.934535314283834*^9, 
   3.934539378731186*^9},
 CellLabel->
  "Out[119]=",ExpressionUUID->"555ef3d3-fdd9-4f9d-9081-2b0e0dfca703"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"nfit", "=", 
  RowBox[{"NonlinearModelFit", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"Around", "[", 
       RowBox[{
        RowBox[{"Mean", "[", "#", "]"}], ",", 
        RowBox[{
         RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
         SqrtBox[
          RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{"Abs", "@", 
       RowBox[{"{", 
        RowBox[{
        "testdat5", ",", "testdat6", ",", "testdat7", ",", "testdat8"}], 
        "}"}]}], ")"}]}], ",", 
    RowBox[{"m0", "-", 
     RowBox[{"Exp", "[", 
      RowBox[{"b", "-", 
       RowBox[{
        RowBox[{"1", "/", "2"}], " ", "x"}]}], "]"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"m0", ",", "0.5773502735179695`"}], "}"}], ",", "b"}], "}"}], 
    ",", "x"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.9333274745806313`*^9, 3.933327606519607*^9}, {
  3.9333294979365683`*^9, 3.933329498589426*^9}, {3.933335031417267*^9, 
  3.933335034000002*^9}, {3.933335109772366*^9, 3.93333512169093*^9}, {
  3.933378846662936*^9, 3.9333788765328608`*^9}, {3.933732493147313*^9, 
  3.933732494154268*^9}},
 CellLabel->
  "In[120]:=",ExpressionUUID->"5d1f916c-a784-49e1-8c0c-4c3c76f0c816"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   TagBox["FittedModel",
    "SummaryHead"], "[", 
   DynamicModuleBox[{Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, 
    
    TemplateBox[{
      PaneSelectorBox[{False -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{"0.5781942486778331`", "\[VeryThinSpace]", "-", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "2.815385247810511`"}], "-", 
                    FractionBox["x", "2"]}]]}], Short], "SummaryItem"]}}, 
             AutoDelete -> False, 
             BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {
              "Columns" -> {{2}}, "Rows" -> {{Automatic}}}]}}, AutoDelete -> 
          False, BaselinePosition -> {1, 1}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], True -> 
        GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"0.5781942486778331`", "\[VeryThinSpace]"}], "-", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "2.815385247810511`"}], "-", 
                    FractionBox["x", "2"]}]]}], Short], "SummaryItem"]}}, 
             AutoDelete -> False, 
             BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {
              "Columns" -> {{2}}, "Rows" -> {{Automatic}}}]}}, AutoDelete -> 
          False, BaselinePosition -> {1, 1}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}]}, 
       Dynamic[Typeset`open$$], ImageSize -> Automatic]},
     "SummaryPanel"],
    DynamicModuleValues:>{}], "]"}],
  FittedModel[{
   "Nonlinear", {$CellContext`m0 -> 
     0.5781942486778331, $CellContext`b -> -2.815385247810511}, \
{{$CellContext`x}, -
      E^($CellContext`b + 
        Rational[-1, 2] $CellContext`x) + $CellContext`m0}}, {{
   1.12488028239348*^6, 3.6036949114419185`*^6, 5.4436861328895595`*^6, 
   457999.10940479144`}}, {{1, 0.5419122081117088}, {2, 0.5558590317129761}, {
    3, 0.5653272267648564}, {4, 0.5665283360192485}}, 
   Function[Null, 
    Internal`LocalizedBlock[{$CellContext`b, $CellContext`m0, \
$CellContext`x}, #], {HoldAll}]],
  Editable->False,
  SelectWithContents->True,
  Selectable->False]], "Output",
 CellChangeTimes->{{3.933327537890448*^9, 3.933327606814225*^9}, 
   3.933327857227265*^9, 3.933328981987609*^9, 3.933329475215975*^9, 
   3.933329505392723*^9, 3.933333520418701*^9, {3.933335016703129*^9, 
   3.933335034230805*^9}, {3.93333511059128*^9, 3.9333351225979652`*^9}, 
   3.933335170429339*^9, 3.933338900616083*^9, 3.933349867550765*^9, 
   3.933350632085908*^9, 3.933350906234487*^9, 3.933350939679153*^9, 
   3.933351045243985*^9, 3.933351228291609*^9, {3.93337884008138*^9, 
   3.933378876780153*^9}, 3.933380276984502*^9, 3.933381187016794*^9, 
   3.9334257806704807`*^9, 3.933586608241541*^9, 3.933586960952813*^9, 
   3.933588312570515*^9, 3.933589029477272*^9, 3.933656924313829*^9, 
   3.93367443539548*^9, 3.933684246544631*^9, 3.933732496204627*^9, 
   3.933761806890572*^9, 3.933882095662656*^9, 3.933882651217222*^9, 
   3.934453850589938*^9, 3.934454953731354*^9, 3.934455586216592*^9, 
   3.934458337358016*^9, 3.93451559163221*^9, 3.934534413203937*^9, 
   3.934535318372383*^9, 3.9345393909689207`*^9},
 CellLabel->
  "Out[120]=",ExpressionUUID->"223277e0-8af6-4975-880b-5908889299ea"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"nfit2", "=", 
  RowBox[{"NonlinearModelFit", "[", 
   RowBox[{
    RowBox[{
     RowBox[{
      RowBox[{"Around", "[", 
       RowBox[{
        RowBox[{"Mean", "[", "#", "]"}], ",", 
        RowBox[{
         RowBox[{"StandardDeviation", "[", "#", "]"}], "/", 
         SqrtBox[
          RowBox[{"Length", "[", "#", "]"}]]}]}], "]"}], "&"}], "/@", 
     RowBox[{"(", 
      RowBox[{"Abs", "@", 
       RowBox[{"{", 
        RowBox[{
        "testdat4", ",", "testdat5", ",", "testdat6", ",", "testdat7", ",", 
         "testdat8"}], "}"}]}], ")"}]}], ",", 
    RowBox[{"m0", "-", 
     RowBox[{"Exp", "[", 
      RowBox[{"b", "-", 
       RowBox[{"c", " ", "x"}]}], "]"}]}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{"{", 
       RowBox[{"m0", ",", "0.5773502735179695`"}], "}"}], ",", "b", ",", 
      "c"}], "}"}], ",", "x"}], "]"}]}]], "Input",
 CellChangeTimes->{{3.9333274745806313`*^9, 3.933327606519607*^9}, {
  3.9333294979365683`*^9, 3.933329498589426*^9}, {3.933335031417267*^9, 
  3.933335034000002*^9}, {3.933335109772366*^9, 3.93333512169093*^9}, {
  3.933378846662936*^9, 3.9333788765328608`*^9}, {3.933588494183367*^9, 
  3.933588513480479*^9}, {3.933732501558835*^9, 3.933732503555507*^9}},
 CellLabel->
  "In[121]:=",ExpressionUUID->"a04437e1-ad3b-4721-b631-2e920551efc0"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{
   TagBox["FittedModel",
    "SummaryHead"], "[", 
   DynamicModuleBox[{Typeset`open$$ = False, Typeset`embedState$$ = "Ready"}, 
    
    TemplateBox[{
      PaneSelectorBox[{False -> GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{"0.5770023335326001`", "\[VeryThinSpace]", "-", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "2.293582536985087`"}], "-", 
                    RowBox[{"0.5278922351909454`", " ", "x"}]}]]}], Short], 
                "SummaryItem"]}}, AutoDelete -> False, 
             BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {
              "Columns" -> {{2}}, "Rows" -> {{Automatic}}}]}}, AutoDelete -> 
          False, BaselinePosition -> {1, 1}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}], True -> 
        GridBox[{{
            GridBox[{{
               TagBox[
                TagBox[
                 RowBox[{
                   RowBox[{"0.5770023335326001`", "\[VeryThinSpace]"}], "-", 
                   SuperscriptBox["\[ExponentialE]", 
                    RowBox[{
                    RowBox[{"-", "2.293582536985087`"}], "-", 
                    RowBox[{"0.5278922351909454`", " ", "x"}]}]]}], Short], 
                "SummaryItem"]}}, AutoDelete -> False, 
             BaseStyle -> {
              ShowStringCharacters -> False, NumberMarks -> False, 
               PrintPrecision -> 3, ShowSyntaxStyles -> False}, 
             GridBoxAlignment -> {
              "Columns" -> {{Left}}, "Rows" -> {{Automatic}}}, 
             GridBoxItemSize -> {
              "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}, 
             GridBoxSpacings -> {
              "Columns" -> {{2}}, "Rows" -> {{Automatic}}}]}}, AutoDelete -> 
          False, BaselinePosition -> {1, 1}, 
          GridBoxAlignment -> {"Columns" -> {{Left}}, "Rows" -> {{Top}}}, 
          GridBoxItemSize -> {
           "Columns" -> {{Automatic}}, "Rows" -> {{Automatic}}}]}, 
       Dynamic[Typeset`open$$], ImageSize -> Automatic]},
     "SummaryPanel"],
    DynamicModuleValues:>{}], "]"}],
  FittedModel[{
   "Nonlinear", {$CellContext`m0 -> 
     0.5770023335326001, $CellContext`b -> -2.293582536985087, $CellContext`c -> 
     0.5278922351909454}, {{$CellContext`x}, -
      E^($CellContext`b - $CellContext`c $CellContext`x) + $CellContext`m0}}, \
{{469005.4805095802, 1.12488028239348*^6, 3.6036949114419185`*^6, 
   5.4436861328895595`*^6, 
   457999.10940479144`}}, {{1, 0.5177282403197767}, {2, 0.5419122081117088}, {
    3, 0.5558590317129761}, {4, 0.5653272267648564}, {5, 0.5665283360192485}}, 
   Function[Null, 
    Internal`LocalizedBlock[{$CellContext`b, $CellContext`c, $CellContext`m0, \
$CellContext`x}, #], {HoldAll}]],
  Editable->False,
  SelectWithContents->True,
  Selectable->False]], "Output",
 CellChangeTimes->{{3.933327537890448*^9, 3.933327606814225*^9}, 
   3.933327857227265*^9, 3.933328981987609*^9, 3.933329475215975*^9, 
   3.933329505392723*^9, 3.933333520418701*^9, {3.933335016703129*^9, 
   3.933335034230805*^9}, {3.93333511059128*^9, 3.9333351225979652`*^9}, 
   3.933335170429339*^9, 3.933338900616083*^9, 3.933349867550765*^9, 
   3.933350632085908*^9, 3.933350906234487*^9, 3.933350939679153*^9, 
   3.933351045243985*^9, 3.933351228291609*^9, {3.93337884008138*^9, 
   3.933378876780153*^9}, 3.933380276984502*^9, 3.933381187016794*^9, 
   3.9334257806704807`*^9, 3.933586608241541*^9, 3.933586960952813*^9, 
   3.933588312570515*^9, {3.933588500571073*^9, 3.933588513829632*^9}, 
   3.933589030503839*^9, 3.933656925136177*^9, 3.933674436235938*^9, 
   3.933684247263932*^9, 3.933732503982801*^9, 3.933761807510949*^9, 
   3.933882095789161*^9, 3.933882652347904*^9, 3.934453851242177*^9, 
   3.934454954514925*^9, 3.9344555869796124`*^9, 3.934458338263588*^9, 
   3.93451559205169*^9, 3.934534413698538*^9, 3.934535320540882*^9, 
   3.934539391220738*^9},
 CellLabel->
  "Out[121]=",ExpressionUUID->"abb84f5c-6797-4fca-8d62-d50091887e73"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{"{", 
   RowBox[{
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax1"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit2", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax1"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax2"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit2", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax2"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax3"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{"Around", "@@", 
       RowBox[{
        RowBox[{"nfit2", "[", "\"\<ParameterTableEntries\>\"", "]"}], "[", 
        RowBox[{"[", 
         RowBox[{"1", ",", 
          RowBox[{";;", "2"}]}], "]"}], "]"}]}], ")"}], "-", "mMax3"}]}], 
   "}"}], "]"}]], "Input",
 CellChangeTimes->{{3.9335866190130463`*^9, 3.933586681493836*^9}, {
  3.93358847016772*^9, 3.9335884777750397`*^9}, {3.93358852572222*^9, 
  3.933588540209317*^9}, {3.9344540500263643`*^9, 3.934454056689361*^9}, {
  3.934454958359186*^9, 3.93445499078004*^9}, {3.934539394009294*^9, 
  3.9345393957851963`*^9}},
 CellLabel->
  "In[122]:=",ExpressionUUID->"fe010fe0-3f0c-4ab4-be57-676536c7b785"],

Cell[BoxData[
 GraphicsBox[{{{
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{1., -0.0007379574579611955}, {1., 0.0008439794882072471}}],
          LineBox[{{1., 0.0008439794882072471}, {1., 
          0.0024259164343756897`}}]}},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{2., -0.004611185070536403}, {
          2., -0.00034793565702573304`}}], 
         LineBox[{{2., -0.00034793565702573304`}, {2., 
          0.003915313756484937}}]}},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{3., 0.013727512982108099`}, {3., 0.015309449928276542`}}], 
         LineBox[{{3., 0.015309449928276542`}, {3., 0.016891386874444983`}}]}},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{4., 0.009854285369532891}, {4., 0.014117534783043562`}}], 
         LineBox[{{4., 0.014117534783043562`}, {4., 0.018380784196554232`}}]}},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{5., 0.010791266701837316`}, {5., 0.01237320364800576}}], 
         LineBox[{{5., 0.01237320364800576}, {5., 0.013955140594174202`}}]}},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{{}, {
         LineBox[{{6., 0.006918039089262109}, {6., 0.01118128850277278}}], 
         LineBox[{{6., 0.01118128850277278}, {6., 0.01544453791628345}}]}},
       Antialiasing->False]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{1., 0.0024259164343756897`}, 
            Offset[{3, 0}, {1., 0.0024259164343756897`}]}, {{1., 
            0.0024259164343756897`}, 
            Offset[{-3, 0}, {1., 0.0024259164343756897`}]}, {{
            1., -0.0007379574579611955}, 
            Offset[{3, 0}, {1., -0.0007379574579611955}]}, {{
            1., -0.0007379574579611955}, 
            Offset[{-3, 0}, {1., -0.0007379574579611955}]}}], {{{1., 0.}, {0.,
           1.}}, {0., 0.}}]},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{2., 0.003915313756484937}, 
            Offset[{3, 0}, {2., 0.003915313756484937}]}, {{2., 
            0.003915313756484937}, 
            Offset[{-3, 0}, {2., 0.003915313756484937}]}, {{
            2., -0.004611185070536403}, 
            Offset[{3, 0}, {2., -0.004611185070536403}]}, {{
            2., -0.004611185070536403}, 
            Offset[{-3, 0}, {2., -0.004611185070536403}]}}], {{{1., 0.}, {0., 
          1.}}, {0., 0.}}]},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{3., 0.016891386874444983`}, 
            Offset[{3, 0}, {3., 0.016891386874444983`}]}, {{3., 
            0.016891386874444983`}, 
            Offset[{-3, 0}, {3., 0.016891386874444983`}]}, {{3., 
            0.013727512982108099`}, 
            Offset[{3, 0}, {3., 0.013727512982108099`}]}, {{3., 
            0.013727512982108099`}, 
            Offset[{-3, 0}, {3., 0.013727512982108099`}]}}], {{{1., 0.}, {0., 
          1.}}, {0., 0.}}]},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{4., 0.018380784196554232`}, 
            Offset[{3, 0}, {4., 0.018380784196554232`}]}, {{4., 
            0.018380784196554232`}, 
            Offset[{-3, 0}, {4., 0.018380784196554232`}]}, {{4., 
            0.009854285369532891}, 
            Offset[{3, 0}, {4., 0.009854285369532891}]}, {{4., 
            0.009854285369532891}, 
            Offset[{-3, 0}, {4., 0.009854285369532891}]}}], {{{1., 0.}, {0., 
          1.}}, {0., 0.}}]},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{5., 0.013955140594174202`}, 
            Offset[{3, 0}, {5., 0.013955140594174202`}]}, {{5., 
            0.013955140594174202`}, 
            Offset[{-3, 0}, {5., 0.013955140594174202`}]}, {{5., 
            0.010791266701837316`}, 
            Offset[{3, 0}, {5., 0.010791266701837316`}]}, {{5., 
            0.010791266701837316`}, 
            Offset[{-3, 0}, {5., 0.010791266701837316`}]}}], {{{1., 0.}, {0., 
          1.}}, {0., 0.}}]},
       Antialiasing->False]}, 
     {RGBColor[0.368417, 0.506779, 0.709798], 
      StyleBox[{
        GeometricTransformationBox[
         LineBox[{}], {{{1., 0.}, {0., 1.}}, {0., 0.}}], 
        GeometricTransformationBox[
         LineBox[{{{6., 0.01544453791628345}, 
            Offset[{3, 0}, {6., 0.01544453791628345}]}, {{6., 
            0.01544453791628345}, 
            Offset[{-3, 0}, {6., 0.01544453791628345}]}, {{6., 
            0.006918039089262109}, 
            Offset[{3, 0}, {6., 0.006918039089262109}]}, {{6., 
            0.006918039089262109}, 
            Offset[{-3, 0}, {6., 0.006918039089262109}]}}], {{{1., 0.}, {0., 
          1.}}, {0., 0.}}]},
       Antialiasing->False]}}}, 
   InterpretationBox[{
     TagBox[
      TagBox[
       {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
        0.012833333333333334`], AbsoluteThickness[2], 
        PointBox[{{1., 0.0008439794882072471}, {
         2., -0.00034793565702573304`}, {3., 0.015309449928276542`}, {4., 
         0.014117534783043562`}, {5., 0.01237320364800576}, {6., 
         0.01118128850277278}}]},
       Annotation[#, "Charting`Private`Tag#1"]& ],
      {"WolframDynamicHighlight", <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
     StyleBox[
      DynamicBox[(Charting`HighlightActionBox["DynamicHighlight", {}, 
        Slot["HighlightElements"], 
        Slot["LayoutOptions"], 
        Slot["Meta"], 
        Charting`HighlightActionFunction["DynamicHighlight", {{
           Annotation[{
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]], 
             
             Point[{{1., 0.0008439794882072471}, {
              2., -0.00034793565702573304`}, {3., 0.015309449928276542`}, {4.,
               0.014117534783043562`}, {5., 0.01237320364800576}, {6., 
              0.01118128850277278}}]}, "Charting`Private`Tag#1"]}}, <|
         "HighlightElements" -> <|
           "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
            "PlotRange" -> {{0., 6.}, {-0.004611185070536403, 
             0.018380784196554232`}}, 
            "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0., 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
              Directive[
               PointSize[0.012833333333333334`], 
               RGBColor[0.368417, 0.506779, 0.709798], 
               AbsoluteThickness[2]]}, 
            "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
                Identity[
                 Part[#, 1]], 
                Identity[
                 Part[#, 2]]}& ), 
              "ScalingFunctions" -> {{Identity, Identity}, {
                Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
            ListPlot, "GroupHighlight" -> False|>|>]]& )[<|
        "HighlightElements" -> <|
          "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
         "LayoutOptions" -> <|
          "PanelPlotLayout" -> <||>, 
           "PlotRange" -> {{0., 6.}, {-0.004611185070536403, 
            0.018380784196554232`}}, 
           "Frame" -> {{False, False}, {False, False}}, 
           "AxesOrigin" -> {0., 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
           "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
           GoldenRatio^(-1), "DefaultStyle" -> {
             Directive[
              PointSize[0.012833333333333334`], 
              RGBColor[0.368417, 0.506779, 0.709798], 
              AbsoluteThickness[2]]}, 
           "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
               Identity[
                Part[#, 1]], 
               Identity[
                Part[#, 2]]}& ), 
             "ScalingFunctions" -> {{Identity, Identity}, {
               Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> 
           False|>, 
         "Meta" -> <|
          "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
           ListPlot, "GroupHighlight" -> False|>|>],
       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
        4.503599627370496*^15, -4.503599627370496*^15}}],
      Selectable->False]},
    Annotation[{{
       Annotation[{
         Directive[
          PointSize[0.012833333333333334`], 
          RGBColor[0.368417, 0.506779, 0.709798], 
          AbsoluteThickness[2]], 
         Point[{{1., 0.0008439794882072471}, {2., -0.00034793565702573304`}, {
          3., 0.015309449928276542`}, {4., 0.014117534783043562`}, {5., 
          0.01237320364800576}, {6., 0.01118128850277278}}]}, 
        "Charting`Private`Tag#1"]}}, <|
     "HighlightElements" -> <|
       "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
      "LayoutOptions" -> <|
       "PanelPlotLayout" -> <||>, 
        "PlotRange" -> {{0., 6.}, {-0.004611185070536403, 
         0.018380784196554232`}}, "Frame" -> {{False, False}, {False, False}},
         "AxesOrigin" -> {0., 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
        "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
        GoldenRatio^(-1), "DefaultStyle" -> {
          Directive[
           PointSize[0.012833333333333334`], 
           RGBColor[0.368417, 0.506779, 0.709798], 
           AbsoluteThickness[2]]}, 
        "HighlightLabelingFunctions" -> <|"CoordinatesToolOptions" -> ({
            Identity[
             Part[#, 1]], 
            Identity[
             Part[#, 2]]}& ), 
          "ScalingFunctions" -> {{Identity, Identity}, {
            Identity, Identity}}|>, "Primitives" -> {}, "GCFlag" -> False|>, 
      "Meta" -> <|
       "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
        ListPlot, "GroupHighlight" -> False|>|>, 
     "DynamicHighlight"]], {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0., 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "AxisPadding" -> Scaled[0.02], "DefaultBoundaryStyle" -> Automatic, 
    "DefaultGraphicsInteraction" -> {
     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
      "Effects" -> {
       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
        "Droplines" -> {
         "freeformCursorMode" -> True, 
          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
    AbsolutePointSize[6], "DefaultPlotStyle" -> {
      Directive[
       RGBColor[0.368417, 0.506779, 0.709798], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.880722, 0.611041, 0.142051], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.560181, 0.691569, 0.194885], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.922526, 0.385626, 0.209179], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.528488, 0.470624, 0.701351], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.772079, 0.431554, 0.102387], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.363898, 0.618501, 0.782349], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[1, 0.75, 0], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.647624, 0.37816, 0.614037], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.571589, 0.586483, 0.], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.915, 0.3325, 0.2125], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.40082222609352647`, 0.5220066643438841, 0.85], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.9728288904374106, 0.621644452187053, 0.07336199581899142], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.736782672705901, 0.358, 0.5030266573755369], 
       AbsoluteThickness[2]], 
      Directive[
       RGBColor[0.28026441037696703`, 0.715, 0.4292089322474965], 
       AbsoluteThickness[2]]}, "DomainPadding" -> Scaled[0.02], 
    "PointSizeFunction" -> "SmallPointSize", "RangePadding" -> Scaled[0.05], 
    "OptimizePlotMarkers" -> True, "IncludeHighlighting" -> "CurrentPoint", 
    "HighlightStyle" -> Automatic, "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        Identity[
         Part[#, 1]], 
        Identity[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 6.}, {-0.004611185070536403, 0.018380784196554232`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{{3.933586626023911*^9, 3.933586681725658*^9}, 
   3.933586964887051*^9, 3.933588316828043*^9, 3.933588477963081*^9, {
   3.933588532908608*^9, 3.933588540478689*^9}, 3.933589031678393*^9, 
   3.93365692633739*^9, 3.933674436742095*^9, 3.933684247908544*^9, 
   3.933732506452458*^9, 3.933761808014026*^9, 3.933882096158471*^9, 
   3.933882653206609*^9, 3.93445385181068*^9, 3.934454056980402*^9, {
   3.934454982492132*^9, 3.934454990993188*^9}, 3.934455587699979*^9, 
   3.934515593157281*^9, 3.934534414474315*^9, 3.934535321250602*^9, 
   3.934539396074054*^9},
 CellLabel->
  "Out[122]=",ExpressionUUID->"fa606754-516b-47c6-9393-b3cd74e781ad"]
}, Open  ]]
}, Open  ]]
}, Open  ]]
},
WindowSize->{1918.5, 1020.75},
WindowMargins->{{0, Automatic}, {3, -1.5}},
FrontEndVersion->"14.0 for Linux x86 (64-bit) (December 12, 2023)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"1d2cd708-7bfe-47b3-9001-275c01e83a02"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[CellGroupData[{
Cell[580, 22, 158, 3, 50, "Section",ExpressionUUID->"bbc7c15f-5b7d-4690-8a22-e1e38c3edf32"],
Cell[741, 27, 4315, 135, 84, "Input",ExpressionUUID->"41b24844-1147-4d0a-b487-e8350b1d5c79"],
Cell[5059, 164, 1923, 61, 145, "Input",ExpressionUUID->"b03bc860-b1c0-4e93-9060-8118f88e47e4"],
Cell[6985, 227, 2814, 81, 29, "Input",ExpressionUUID->"b26718dc-2cea-4fdb-b7ee-88d00ee5b4db"],
Cell[9802, 310, 693, 20, 47, "Input",ExpressionUUID->"08648c98-5e11-49e5-9ecf-4568bf068ad0"],
Cell[10498, 332, 748, 19, 22, "Input",ExpressionUUID->"336506fe-ed5b-44be-8723-7d5b12b2b85d"],
Cell[11249, 353, 4547, 145, 51, "Input",ExpressionUUID->"c1297907-e97f-4b0c-9644-ead31698af8d"],
Cell[15799, 500, 348, 9, 35, "Input",ExpressionUUID->"bc0c79a5-5d5f-41ea-a0ca-c421c1cc8550"]
}, Open  ]],
Cell[CellGroupData[{
Cell[16184, 514, 150, 3, 50, "Section",ExpressionUUID->"f6acd268-0983-4ccc-b375-6fb0a5032805"],
Cell[CellGroupData[{
Cell[16359, 521, 163, 3, 41, "Subsection",ExpressionUUID->"80e4596a-0f6c-482b-9d38-4e3778e2b753"],
Cell[CellGroupData[{
Cell[16547, 528, 5751, 144, 307, "Input",ExpressionUUID->"6c182b3c-b61b-4da5-97eb-545f093d6397"],
Cell[22301, 674, 179108, 3136, 229, "Output",ExpressionUUID->"92c1128c-8ae6-43fd-b1e6-03e770bd251a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[201446, 3815, 7155, 179, 479, "Input",ExpressionUUID->"987acbda-9443-4a50-9527-bdd438ec8a24"],
Cell[208604, 3996, 128644, 2400, 218, "Output",ExpressionUUID->"34c26d83-2227-445e-bd36-24d72298b64f"]
}, Open  ]],
Cell[337263, 6399, 604, 15, 53, "Input",ExpressionUUID->"718f433c-5ec4-4bac-860a-5bace6d1b65e"]
}, Closed]],
Cell[CellGroupData[{
Cell[337904, 6419, 175, 3, 30, "Subsection",ExpressionUUID->"5df07bd5-2097-4030-81f4-b69a40cb15f6"],
Cell[CellGroupData[{
Cell[338104, 6426, 8959, 206, 375, "Input",ExpressionUUID->"5506e17b-9ca1-45dd-9a22-41bf59df28ce"],
Cell[347066, 6634, 23284, 456, 150, "Output",ExpressionUUID->"7d1ebcf7-6b77-4c82-ace9-15e6e11488d3"]
}, Open  ]],
Cell[CellGroupData[{
Cell[370387, 7095, 8991, 213, 421, "Input",ExpressionUUID->"92265c04-e236-4e0e-8f2d-85dfff966601"],
Cell[379381, 7310, 12409, 272, 150, "Output",ExpressionUUID->"53c5a35a-9fc8-47da-9a6b-cdad4b2bf857"]
}, Open  ]],
Cell[CellGroupData[{
Cell[391827, 7587, 7270, 172, 130, "Input",ExpressionUUID->"2024fdeb-ff4f-4e26-834d-bece770e0a79"],
Cell[399100, 7761, 25691, 487, 161, "Output",ExpressionUUID->"9103c484-5e87-4c28-90d1-8b05b08fa4f0"]
}, Open  ]],
Cell[CellGroupData[{
Cell[424828, 8253, 6054, 140, 114, "Input",ExpressionUUID->"b3fc4f55-4c0b-4c22-9d55-e6dad1b1d50e"],
Cell[430885, 8395, 24699, 465, 161, "Output",ExpressionUUID->"287418c4-2a20-4424-ba1b-44882842bdbc"]
}, Open  ]],
Cell[455599, 8863, 1101, 27, 84, "Input",ExpressionUUID->"587076b9-908e-406a-9c46-ad3a25c086de"]
}, Closed]],
Cell[CellGroupData[{
Cell[456737, 8895, 162, 3, 30, "Subsection",ExpressionUUID->"5159d821-004a-42df-9d4c-fa83e8d77495"],
Cell[CellGroupData[{
Cell[456924, 8902, 7382, 172, 75, "Input",ExpressionUUID->"6c065066-6bf9-4f3a-a1a0-0b9cba9f452c"],
Cell[464309, 9076, 51249, 968, 177, "Output",ExpressionUUID->"7e82ffb6-84e7-4a29-8501-6c669630aa8e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[515595, 10049, 6421, 149, 86, "Input",ExpressionUUID->"b7835bf7-af7e-4043-ba65-56202b80be80"],
Cell[522019, 10200, 2560, 41, 51, "Message",ExpressionUUID->"27f8d3a1-af00-43ff-a010-d91ea739ca18"],
Cell[524582, 10243, 1028, 19, 22, "Message",ExpressionUUID->"eed8c3e0-eea5-4156-aeeb-895e7f9ef13f"],
Cell[525613, 10264, 93525, 1708, 177, "Output",ExpressionUUID->"0bb4ebbd-525a-40a9-8738-739ec949f19e"]
}, Open  ]],
Cell[CellGroupData[{
Cell[619175, 11977, 8597, 210, 106, "Input",ExpressionUUID->"60fc774e-789f-47e9-995f-80fba0589db7"],
Cell[627775, 12189, 3522, 55, 51, "Message",ExpressionUUID->"3f1e63ad-98f0-4464-9bdf-6d9d8e725115"],
Cell[631300, 12246, 97618, 1734, 177, "Output",ExpressionUUID->"d21fb0df-419f-4363-bb7f-617faf904692"]
}, Open  ]],
Cell[728933, 13983, 861, 21, 68, "Input",ExpressionUUID->"1b485599-abd1-4bc0-967d-165fc92d833b"]
}, Closed]],
Cell[CellGroupData[{
Cell[729831, 14009, 168, 3, 30, "Subsection",ExpressionUUID->"b535800b-9d38-4d4f-9e23-c69cf4d429fb"],
Cell[730002, 14014, 633, 15, 24, "Input",ExpressionUUID->"f9bfb54c-f8f3-4525-abeb-233750cee79a"],
Cell[730638, 14031, 1328, 26, 24, "Input",ExpressionUUID->"7618c6de-8d4a-471b-b096-c27a59d6c675"],
Cell[CellGroupData[{
Cell[731991, 14061, 369, 8, 22, "Input",ExpressionUUID->"f0210815-94c5-4cb1-80fe-bd2530af8882"],
Cell[732363, 14071, 1159, 23, 42, "Output",ExpressionUUID->"fe6a90df-8284-4593-ad95-18776dee12ba"]
}, Open  ]],
Cell[CellGroupData[{
Cell[733559, 14099, 1477, 42, 39, "Input",ExpressionUUID->"94b6c17c-655e-47eb-9104-1a3e8efc5930"],
Cell[735039, 14143, 2609, 78, 54, "Output",ExpressionUUID->"a47fe3af-36d2-4287-bd83-2a93e3914f03"]
}, Open  ]],
Cell[737663, 14224, 2817, 65, 39, "Input",ExpressionUUID->"baaf63c8-5be4-4d2a-a22b-7dc91aa7910c"],
Cell[CellGroupData[{
Cell[740505, 14293, 676, 19, 35, "Input",ExpressionUUID->"f413f90a-2bbe-4119-afe0-c4eeb6f72ad3"],
Cell[741184, 14314, 1383, 37, 25, "Output",ExpressionUUID->"88b56873-7ab9-4829-8db3-a20d0df14d25"]
}, Open  ]],
Cell[CellGroupData[{
Cell[742604, 14356, 2957, 64, 35, "Input",ExpressionUUID->"dcf47297-6e73-48db-95c6-2be317bfb5b5"],
Cell[745564, 14422, 52122, 944, 174, "Output",ExpressionUUID->"4f584ccd-3977-478d-8868-422d8d96a0a6"]
}, Open  ]],
Cell[CellGroupData[{
Cell[797723, 15371, 632, 16, 35, "Input",ExpressionUUID->"f4199132-776b-444e-905f-98463bad3266"],
Cell[798358, 15389, 396, 7, 42, "Output",ExpressionUUID->"c3a6a8d3-f6e2-4820-ad3e-241c8716142b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[798791, 15401, 1520, 37, 35, "Input",ExpressionUUID->"a2bdf3e3-eab7-4136-8b03-4eb31b271821"],
Cell[800314, 15440, 1838, 26, 25, "Output",ExpressionUUID->"d0a3d4a6-34ba-40f2-a7d0-f233befe2a26"]
}, Open  ]],
Cell[CellGroupData[{
Cell[802189, 15471, 1391, 36, 35, "Input",ExpressionUUID->"bdc90b67-e81a-4882-976a-f1ebbb721caf"],
Cell[803583, 15509, 388, 6, 25, "Output",ExpressionUUID->"542b581b-e106-4e4d-9ba9-cf5b96db734b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[804008, 15520, 4471, 129, 145, "Input",ExpressionUUID->"b7c04588-51c4-46ba-b43a-323e54fb82c5"],
Cell[808482, 15651, 18989, 380, 178, "Output",ExpressionUUID->"b775e616-2fc8-4073-ba47-b224ed44076b"]
}, Open  ]],
Cell[CellGroupData[{
Cell[827508, 16036, 1344, 40, 22, "Input",ExpressionUUID->"d5c71612-e41c-40a0-8f22-153b347f934a"],
Cell[828855, 16078, 5345, 118, 186, "Output",ExpressionUUID->"4ecffab3-f026-461d-b513-af94d64cbec9"]
}, Open  ]],
Cell[CellGroupData[{
Cell[834237, 16201, 457, 10, 22, "Input",ExpressionUUID->"6729ea2e-916f-4c77-ad4d-d272adeb529e"],
Cell[834697, 16213, 1735, 28, 35, "Output",ExpressionUUID->"16ffcae8-c60a-4d71-8eff-cb2c15276070"]
}, Open  ]],
Cell[CellGroupData[{
Cell[836469, 16246, 961, 25, 25, "Input",ExpressionUUID->"04e6644b-90a9-4b4e-90ba-9f54a0b030a5"],
Cell[837433, 16273, 3951, 80, 49, "Output",ExpressionUUID->"fb5097ef-27b9-4507-a7ab-ed635f94e150"]
}, Open  ]],
Cell[CellGroupData[{
Cell[841421, 16358, 1515, 37, 25, "Input",ExpressionUUID->"4f6ec33b-2722-4715-8283-2253119f6e1c"],
Cell[842939, 16397, 29116, 632, 186, "Output",ExpressionUUID->"5be51ba2-190b-4fa2-8bc7-810e619b8875"]
}, Open  ]],
Cell[CellGroupData[{
Cell[872092, 17034, 941, 25, 25, "Input",ExpressionUUID->"c699da20-b8e1-4d8d-b830-d061605f160c"],
Cell[873036, 17061, 4455, 87, 49, "Output",ExpressionUUID->"ed5e4ad1-67a3-4c9b-a847-6f8e34d62b0a"]
}, Open  ]],
Cell[CellGroupData[{
Cell[877528, 17153, 691, 20, 25, "Input",ExpressionUUID->"a50d66f9-04d2-4491-ae90-63cb096c85d3"],
Cell[878222, 17175, 1279, 36, 37, "Output",ExpressionUUID->"5497b13c-df4a-4ed3-b151-89ef7aae2f89"]
}, Open  ]],
Cell[CellGroupData[{
Cell[879538, 17216, 2855, 74, 42, "Input",ExpressionUUID->"e5d2c2e9-65d2-42b6-87d6-57bf360d129a"],
Cell[882396, 17292, 31485, 672, 189, "Output",ExpressionUUID->"555ef3d3-fdd9-4f9d-9081-2b0e0dfca703"]
}, Open  ]],
Cell[CellGroupData[{
Cell[913918, 17969, 1276, 35, 25, "Input",ExpressionUUID->"5d1f916c-a784-49e1-8c0c-4c3c76f0c816"],
Cell[915197, 18006, 4353, 89, 55, "Output",ExpressionUUID->"223277e0-8af6-4975-880b-5908889299ea"]
}, Open  ]],
Cell[CellGroupData[{
Cell[919587, 18100, 1324, 34, 25, "Input",ExpressionUUID->"a04437e1-ad3b-4721-b631-2e920551efc0"],
Cell[920914, 18136, 4544, 90, 51, "Output",ExpressionUUID->"abb84f5c-6797-4fca-8d62-d50091887e73"]
}, Open  ]],
Cell[CellGroupData[{
Cell[925495, 18231, 2183, 59, 38, "Input",ExpressionUUID->"fe010fe0-3f0c-4ab4-be57-676536c7b785"],
Cell[927681, 18292, 14941, 336, 176, "Output",ExpressionUUID->"fa606754-516b-47c6-9393-b3cd74e781ad"]
}, Open  ]]
}, Open  ]]
}, Open  ]]
}
]
*)