correlator.nb

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

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

(* CreatedBy='Mathematica 12.1' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[    281394,       5252]
NotebookOptionsPosition[    277813,       5202]
NotebookOutlinePosition[    278146,       5217]
CellTagsIndexPosition[    278103,       5214]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[{
 RowBox[{
  RowBox[{"SpinQ", "[", "S_", "]"}], ":=", 
  RowBox[{
   RowBox[{"IntegerQ", "[", 
    RowBox[{"2", " ", "S"}], "]"}], "&&", 
   RowBox[{"S", "\[GreaterEqual]", "0"}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"splus", "[", "0", "]"}], "=", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"{", "0", "}"}], "}"}], "//", "SparseArray"}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"splus", "[", 
   RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"splus", "[", "S", "]"}], "=", 
   RowBox[{"SparseArray", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Band", "[", 
       RowBox[{"{", 
        RowBox[{"1", ",", "2"}], "}"}], "]"}], "\[Rule]", 
      RowBox[{"Table", "[", 
       RowBox[{
        RowBox[{"Sqrt", "[", 
         RowBox[{
          RowBox[{"S", 
           RowBox[{"(", 
            RowBox[{"S", "+", "1"}], ")"}]}], "-", 
          RowBox[{"M", " ", 
           RowBox[{"(", 
            RowBox[{"M", "+", "1"}], ")"}]}]}], "]"}], ",", 
        RowBox[{"{", 
         RowBox[{"M", ",", 
          RowBox[{"S", "-", "1"}], ",", 
          RowBox[{"-", "S"}], ",", 
          RowBox[{"-", "1"}]}], "}"}]}], "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"2", " ", "S"}], "+", "1"}], ",", 
       RowBox[{
        RowBox[{"2", " ", "S"}], "+", "1"}]}], "}"}]}], 
    "]"}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sminus", "[", 
   RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
  RowBox[{"Transpose", "[", 
   RowBox[{"splus", "[", "S", "]"}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sx", "[", 
   RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"sx", "[", "S", "]"}], "=", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{"splus", "[", "S", "]"}], "+", 
      RowBox[{"sminus", "[", "S", "]"}]}], ")"}], "/", 
    "2"}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sy", "[", 
   RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"sy", "[", "S", "]"}], "=", 
   RowBox[{
    RowBox[{"(", 
     RowBox[{
      RowBox[{"splus", "[", "S", "]"}], "-", 
      RowBox[{"sminus", "[", "S", "]"}]}], ")"}], "/", 
    RowBox[{"(", 
     RowBox[{"2", " ", "I"}], ")"}]}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{"sz", "[", 
   RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
  RowBox[{
   RowBox[{"sz", "[", "S", "]"}], "=", " ", 
   RowBox[{"SparseArray", "[", 
    RowBox[{
     RowBox[{
      RowBox[{"Band", "[", 
       RowBox[{"{", 
        RowBox[{"1", ",", "1"}], "}"}], "]"}], "\[Rule]", 
      RowBox[{"Range", "[", 
       RowBox[{"S", ",", 
        RowBox[{"-", "S"}], ",", 
        RowBox[{"-", "1"}]}], "]"}]}], ",", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"2", "S"}], " ", "+", "1"}], ",", 
       RowBox[{
        RowBox[{"2", " ", "S"}], "+", "1"}]}], "}"}]}], 
    "]"}]}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"id", "[", 
    RowBox[{"S_", "?", "SpinQ"}], "]"}], ":=", 
   RowBox[{
    RowBox[{"id", "[", "S", "]"}], "=", 
    RowBox[{"IdentityMatrix", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"2", " ", "S"}], "+", "1"}], ",", "SparseArray"}], "]"}]}]}], 
  ";"}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"op", "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", " ", 
     RowBox[{"k_", "?", "IntegerQ"}], ",", 
     RowBox[{"a_", "?", "MatrixQ"}]}], "]"}], "/;", "\[IndentingNewLine]", 
   RowBox[{
    RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}], "&&", 
    RowBox[{
     RowBox[{"Dimensions", "[", "a", "]"}], "\[Equal]", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{
        RowBox[{"2", " ", "S"}], "+", "1"}], ",", 
       RowBox[{
        RowBox[{"2", " ", "S"}], "+", "1"}]}], "}"}]}]}]}], ":=", 
  RowBox[{"KroneckerProduct", "[", 
   RowBox[{
    RowBox[{"IdentityMatrix", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{"2", " ", "S"}], "+", "1"}], ")"}], "^", 
       RowBox[{"(", 
        RowBox[{"k", "-", "1"}], ")"}]}], ",", "SparseArray"}], "]"}], ",", 
    "a", ",", 
    RowBox[{"IdentityMatrix", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"(", 
        RowBox[{
         RowBox[{"2", " ", "S"}], "+", "1"}], ")"}], "^", 
       RowBox[{"(", 
        RowBox[{"L", "-", "k"}], ")"}]}], ",", "SparseArray"}], "]"}]}], 
   "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"sx", "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"sx", "[", "S", "]"}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"sy", "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"sy", "[", "S", "]"}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{"sz", "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"sz", "[", "S", "]"}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{
    SubscriptBox["\[Sigma]", "+"], "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{
     RowBox[{"sy", "[", "S", "]"}], "+", 
     RowBox[{"I", " ", 
      RowBox[{"sz", "[", "S", "]"}]}]}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{
    SubscriptBox["\[Sigma]", "x"], "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"2", " ", 
     RowBox[{"sx", "[", "S", "]"}]}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{
    SubscriptBox["\[Sigma]", "y"], "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"2", " ", 
     RowBox[{"sy", "[", "S", "]"}]}]}], "]"}]}], "\[IndentingNewLine]", 
 RowBox[{
  RowBox[{
   RowBox[{
    SubscriptBox["\[Sigma]", "z"], "[", 
    RowBox[{
     RowBox[{"S_", "?", "SpinQ"}], ",", 
     RowBox[{"L_", "?", "IntegerQ"}], ",", 
     RowBox[{"k_", "?", "IntegerQ"}]}], "]"}], "/;", 
   RowBox[{"1", "\[LessEqual]", "k", "\[LessEqual]", "L"}]}], ":=", 
  RowBox[{"op", "[", 
   RowBox[{"S", ",", "L", ",", "k", ",", 
    RowBox[{"2", " ", 
     RowBox[{"sz", "[", "S", "]"}]}]}], 
   "]"}]}], "\[IndentingNewLine]"}], "Input",
 CellChangeTimes->{{3.874732858296733*^9, 3.874732866659442*^9}, {
   3.874732898171777*^9, 3.874732972312992*^9}, {3.8747331704054737`*^9, 
   3.8747333851443377`*^9}, {3.874733482819276*^9, 3.8747334991368732`*^9}, {
   3.874733579914596*^9, 3.874733583986539*^9}, {3.874733675830324*^9, 
   3.8747336798919687`*^9}, 3.8747337104357967`*^9, {3.874733770143268*^9, 
   3.874733807933092*^9}, 3.874734088121166*^9, {3.874734196848287*^9, 
   3.874734272389003*^9}, {3.874734362748806*^9, 3.874734388241576*^9}, {
   3.874734472099512*^9, 3.8747344861863413`*^9}, {3.874735002096064*^9, 
   3.874735002303186*^9}, {3.874735069432514*^9, 3.8747350713110237`*^9}, {
   3.874735107218432*^9, 3.874735144753004*^9}, {3.874735227104971*^9, 
   3.874735268921425*^9}, {3.8747353160428343`*^9, 3.8747353814214487`*^9}, {
   3.874735415060247*^9, 3.874735432826798*^9}, {3.874735485827566*^9, 
   3.874735597836172*^9}, {3.887805186177526*^9, 3.8878051994280443`*^9}, {
   3.887876121331697*^9, 3.8878761216913157`*^9}, {3.887876223388352*^9, 
   3.8878762426002207`*^9}, 3.88787685148748*^9, {3.8878770851599483`*^9, 
   3.887877091269844*^9}},
 CellLabel->"In[1]:=",ExpressionUUID->"dbde90bb-db5a-4c37-8d13-725ca549ab40"],

Cell[CellGroupData[{

Cell[BoxData[{
 RowBox[{
  RowBox[{"S", "=", 
   RowBox[{"1", "/", "2"}]}], ";"}], "\[IndentingNewLine]", 
 RowBox[{"Do", "[", "\[IndentingNewLine]", 
  RowBox[{
   RowBox[{"Do", "[", "\[IndentingNewLine]", 
    RowBox[{
     RowBox[{
      RowBox[{
       RowBox[{"Correlator", "[", 
        RowBox[{"L", ",", "1"}], "]"}], "=", 
       RowBox[{
        SubscriptBox["\[Sigma]", "+"], "[", 
        RowBox[{"S", ",", "L", ",", "1"}], "]"}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{
       RowBox[{"Correlator", "[", 
        RowBox[{"L_", ",", "i_"}], "]"}], ":=", 
       RowBox[{
        RowBox[{"Correlator", "[", 
         RowBox[{"L", ",", "i"}], "]"}], "=", 
        RowBox[{
         RowBox[{"Correlator", "[", 
          RowBox[{"L", ",", 
           RowBox[{"i", "-", "1"}]}], "]"}], ".", 
         RowBox[{
          SubscriptBox["\[Sigma]", "+"], "[", 
          RowBox[{"S", ",", "L", ",", "i"}], "]"}]}]}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{"F", "=", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"2", "^", "L"}], " ", 
          RowBox[{"Correlator", "[", 
           RowBox[{"L", ",", "L"}], "]"}]}], "//", "Re"}], "//", 
        "IntegerPart"}]}], ";", "\[IndentingNewLine]", 
      RowBox[{"H", "=", 
       RowBox[{"Sum", "[", 
        RowBox[{
         RowBox[{"Sum", "[", 
          RowBox[{
           RowBox[{"If", "[", 
            RowBox[{
             RowBox[{
              RowBox[{"j", "+", "p"}], "\[LessEqual]", "L"}], ",", 
             RowBox[{
              RowBox[{"sz", "[", 
               RowBox[{"S", ",", "L", ",", "j"}], "]"}], ".", 
              RowBox[{"sz", "[", 
               RowBox[{"S", ",", "L", ",", " ", 
                RowBox[{"j", "+", "p"}]}], "]"}]}], ",", "0"}], "]"}], ",", 
           RowBox[{"{", 
            RowBox[{"j", ",", "1", ",", "L"}], "}"}]}], "]"}], " ", ",", 
         RowBox[{"{", 
          RowBox[{"p", ",", "1", ",", "r"}], "}"}]}], "]"}]}], ";", 
      RowBox[{"(*", 
       RowBox[{"generate", " ", "Hamiltonian"}], "*)"}], "  ", 
      "\[IndentingNewLine]", 
      RowBox[{
       RowBox[{"\[Epsilon]", "[", "t_", "]"}], ":=", 
       RowBox[{
        RowBox[{"Diagonal", "[", 
         RowBox[{"MatrixExp", "[", 
          RowBox[{"I", " ", "H", " ", "t"}], "]"}], "]"}], ".", "F", ".", 
        RowBox[{"Diagonal", "[", 
         RowBox[{"MatrixExp", "[", 
          RowBox[{
           RowBox[{"-", "I"}], " ", "H", " ", "t"}], "]"}], "]"}]}]}], ";", 
      "\[IndentingNewLine]", 
      RowBox[{
       RowBox[{"\[CapitalEpsilon]", "[", "t_", "]"}], ":=", 
       RowBox[{
        RowBox[{"2", "^", 
         RowBox[{"(", 
          RowBox[{
           RowBox[{"-", "4"}], " ", "L"}], ")"}]}], " ", 
        RowBox[{
         RowBox[{"Abs", "[", 
          RowBox[{"\[Epsilon]", "[", "t", "]"}], "]"}], "^", "2"}]}]}], ";", 
      " ", "\[IndentingNewLine]", 
      RowBox[{
      "Print", "[", 
       "\"\<==================================================================\
============\>\"", "]"}], ";", "\[IndentingNewLine]", 
      RowBox[{
      "Print", "[", 
       "\"\<\[CapitalEpsilon](\[Tau]) = \!\(\*SuperscriptBox[\(2\), \(\(-4\) \
L\)]\)|\[Epsilon][\[Tau]]\!\(\*SuperscriptBox[\(|\), \(2\)]\)\>\"", "]"}], 
      ";", "\[IndentingNewLine]", 
      RowBox[{"Print", "[", 
       RowBox[{
        RowBox[{"\"\<L = \>\"", "<>", 
         RowBox[{"ToString", "[", "L", "]"}], "<>", "\"\< r = \>\"", "<>", 
         RowBox[{"ToString", "[", "r", "]"}], "<>", 
         "\"\<\\n \[Epsilon][\[Tau]] = \>\""}], ",", 
        RowBox[{
         RowBox[{
          RowBox[{
           RowBox[{"\[Epsilon]", "[", "\[Tau]", "]"}], "//", 
           "ComplexExpand"}], "//", "FullSimplify"}], "//", "Chop"}]}], "]"}],
       ";", "\[IndentingNewLine]", 
      RowBox[{"Print", "[", 
       RowBox[{"Plot", "[", 
        RowBox[{
         RowBox[{"{", 
          RowBox[{
           RowBox[{
            RowBox[{"2", "^", "L"}], " ", 
            RowBox[{"\[CapitalEpsilon]", "[", "\[Tau]", "]"}]}], ",", "1"}], 
          "}"}], ",", 
         RowBox[{"{", 
          RowBox[{"\[Tau]", ",", "0", ",", 
           RowBox[{"2", " ", "\[Pi]"}]}], "}"}], ",", 
         RowBox[{"AxesLabel", "\[Rule]", 
          RowBox[{"{", 
           RowBox[{"\"\<time \[Tau]\>\"", ",", 
            RowBox[{
            "\"\<Normalized Bell Correlator  \!\(\*SuperscriptBox[\(2\), \
\(L\)]\)\[CapitalEpsilon](\[Tau]) | L = \>\"", "<>", 
             RowBox[{"ToString", "[", "L", "]"}], "<>", "\"\< r = \>\"", "<>", 
             RowBox[{"ToString", "[", "r", "]"}]}]}], " ", "}"}]}]}], "]"}], 
       "]"}]}], ",", "\[IndentingNewLine]", 
     RowBox[{"{", 
      RowBox[{"r", ",", "1", ",", "4"}], "}"}]}], "]"}], ",", 
   RowBox[{"{", 
    RowBox[{"L", ",", "8", ",", "10", ",", "2"}], "}"}]}], "]"}]}], "Input",
 CellChangeTimes->CompressedData["
1:eJwdz11IU3EYBvDDNAnJMYWs6XITVznwpm8cOT1iLDxgpmtpF2cyt6XONrqw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  "],
 CellLabel->"In[17]:=",ExpressionUUID->"acd7a430-d824-4058-90fc-45596bf34331"],

Cell[CellGroupData[{

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.88787927682286*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"a3720106-ed38-4d55-b928-ebf6bebec3a9"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879276829315*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"debb102a-9422-4354-ba9a-8a9d4642ee78"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 8 r = 1\\n \[Epsilon][\[Tau]] = \"\>", "\[InvisibleSpace]", 
   RowBox[{"64", " ", 
    SuperscriptBox[
     RowBox[{"Csc", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "6"], " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "10"]}]}],
  SequenceForm[
  "L = 8 r = 1\n \[Epsilon][\[Tau]] = ", 64 
   Csc[Rational[1, 4] $CellContext`\[Tau]]^6 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^10],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879277117606*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"88615c2f-741d-42af-8e45-d450b06cad9e"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUVnk4Vl8XNWYeXt73bVCmUElCpuSefaKE6CdSKiIKIVOGQqYKqSRJFJE5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       "]]},
     Annotation[#, "Charting`Private`Tag$1260#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$1260#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 8 r = 1\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879285716263*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"457b1311-d72a-4ae4-85f3-a18cabdbc3be"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878792857396317`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"9c899562-0421-4e69-8edc-6edfb5be488f"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879285741531*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"3b454c03-56c8-42d6-932c-e301d21d2c75"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 8 r = 2\\n \[Epsilon][\[Tau]] = \"\>", "\[InvisibleSpace]", 
   RowBox[{"4096", " ", 
    SuperscriptBox[
     RowBox[{"Cos", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "6"], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"3", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "4"], "]"}]}], "+", 
      RowBox[{"2", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "4"], "]"}]}]}], ")"}], " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "4"], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"4", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "4"], "]"}]}], "+", 
      RowBox[{"3", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"7", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"2", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "4"], "]"}]}], "-", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{"22", " ", 
          RowBox[{"Sin", "[", 
           FractionBox["\[Tau]", "4"], "]"}]}], "-", 
         RowBox[{"13", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"3", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
         RowBox[{"13", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"5", " ", "\[Tau]"}], "4"], "]"}]}]}], ")"}]}]}], 
     ")"}]}]}],
  SequenceForm[
  "L = 8 r = 2\n \[Epsilon][\[Tau]] = ", 4096 
   Cos[Rational[1, 4] $CellContext`\[Tau]]^6 (
    3 Cos[Rational[1, 4] $CellContext`\[Tau]] + 
    2 Cos[Rational[3, 4] $CellContext`\[Tau]] + 
    Complex[0, 1] Sin[Rational[1, 4] $CellContext`\[Tau]]) 
   Sin[Rational[1, 4] $CellContext`\[Tau]]^4 (
    4 Cos[Rational[1, 4] $CellContext`\[Tau]] + 
    3 Cos[Rational[3, 4] $CellContext`\[Tau]] + 
    7 Cos[Rational[5, 4] $CellContext`\[Tau]] + 
    2 Cos[Rational[7, 4] $CellContext`\[Tau]] + 
    Complex[0, -1] (22 Sin[Rational[1, 4] $CellContext`\[Tau]] - 13 
      Sin[Rational[3, 4] $CellContext`\[Tau]] + 
      13 Sin[Rational[5, 4] $CellContext`\[Tau]]))],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879286432845*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"2c0073eb-5f40-47ea-a09f-608cf499aad8"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c81d8bJ3vmGvdGS7Kykl3cz3OSEJISKWQmydfKzEwlSUIoZGRHZEaU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       "]]},
     Annotation[#, "Charting`Private`Tag$2918#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$2918#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 8 r = 2\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879292172523*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"90412c87-9b07-402a-94fa-a024a62b50ef"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879292189736*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"619c683d-af54-4849-a09c-f61c236d4602"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879292191742*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"d13a286d-8244-4edb-9805-c36a07920a74"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 8 r = 3\\n \[Epsilon][\[Tau]] = \"\>", "\[InvisibleSpace]", 
   RowBox[{"64", " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "4"], " ", 
    RowBox[{"(", 
     RowBox[{"6", "+", 
      RowBox[{"13", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"8", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"5", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"3", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"4", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"3", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}]}], ")"}], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"8", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "-", 
      RowBox[{"4", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"15", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"4", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"9", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "-", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{"2", " ", 
          RowBox[{"Sin", "[", 
           FractionBox["\[Tau]", "2"], "]"}]}], "+", 
         RowBox[{"9", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
         RowBox[{"8", " ", 
          RowBox[{"Sin", "[", 
           RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
         RowBox[{"7", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}]}], ")"}]}]}], 
     ")"}]}]}],
  SequenceForm[
  "L = 8 r = 3\n \[Epsilon][\[Tau]] = ", 64 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^4 (6 + 
    13 Cos[Rational[1, 2] $CellContext`\[Tau]] + 8 Cos[$CellContext`\[Tau]] + 
    5 Cos[Rational[3, 2] $CellContext`\[Tau]] + 
    Complex[0, 3] Sin[Rational[1, 2] $CellContext`\[Tau]] + 
    Complex[0, 4] Sin[$CellContext`\[Tau]] + 
    Complex[0, 3] Sin[Rational[3, 2] $CellContext`\[Tau]]) (
    8 Cos[Rational[1, 2] $CellContext`\[Tau]] - 4 Cos[$CellContext`\[Tau]] + 
    15 Cos[Rational[3, 2] $CellContext`\[Tau]] + 4 Cos[2 $CellContext`\[Tau]] + 
    9 Cos[Rational[5, 2] $CellContext`\[Tau]] + 
    Complex[0, -1] (2 Sin[Rational[1, 2] $CellContext`\[Tau]] + 
      9 Sin[Rational[3, 2] $CellContext`\[Tau]] + 
      8 Sin[2 $CellContext`\[Tau]] + 
      7 Sin[Rational[5, 2] $CellContext`\[Tau]]))],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879293038536*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"964647b7-5265-44ae-b1bf-9649ec210b60"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c8198Xtvf8DB/ZOyEjQsX73CRZX5GRjIy0kFBIJCGrEkL2ShLZO3sV
QspOWZmVQvbq9/n99X49r3vvuec85znnvo+w/c1zl6koKCiu0FBQ/P9L3cDU
8/3oA4xCgQwollTFF+pPCDyzAfGVBOTV6Hxiu0jOYST6JrxO1Ph9ov7XiRnC
tc2K6PswH1K+nFrrrPb4QDtrQU0gWA+++ZB0LVYtW9IqjaIgBGad23EDVJVq
jSpL8sbpj6DucUsSX32f2hetoOaX0U+BHje7Glf9S21bikXKtzkK4inNO4yc
qdRDjgy6v6x5BhlKXJ2Wl4nqhOPpNT1lsSDldL+ycFFCPeOkI81m/nMIT/OR
2t9TVpfVUfpP+FUCvHqQrafac1q9xnA/Vjc9CZQ6h1ajq4zVtc3bx24lpIDF
/dVXHwXs1Adsog+mRKdBc1nwCflCZ/ViRVnV723pUGgaHPlNx0vdS+XZV6/m
DIgbadv6cylAHTux6c/SkAlpqxdQs+ljdRqwFs+oeQFb644tly/EqndqNHcc
rcoC4sE+wr3QNPUorYMunWUvITZL1fL4WLa6ue5jnE1xNkS6L+x1nS1SFzBY
rvib/woKgxj7435WqE8bmVmG5uYAodPBaLS5QT3PtOYf36vXsLBYs9lW3abu
fkEoq/hFLrgyanyRtelWV7V+qK2Vngeyo6Ulki/61Pdtf/z6kvwGdjzVSRV7
I+ptDmejbibkA31kUYMf46T642tlR2niCsBXIv+5guis+jnnA1/iowuBMpY5
LD74lzqLKjTEnSkCXSfZ/zTVVtSXqt04J9uKQH2N5lOx2IZ634msS9KaxWDx
T0BNT3pPvaJusNyjuRhGdOuy2U5RYQnAyNCISuCmWqlxZTUd5tt0woKpoQTO
6wfGWPKzYLanXN6YqJfCmsVVBic9TuxUW/p+ak0pqOA+JptLETGJM32GC8fK
gH1m/c9k2wGMqYP2hWJVGYTJSi/9OiGILeqqrt1TLoc8n3BrniERrLfL8Ux7
WTkM7ue5m2ZIYKUGKQk4xQpQtHs/8IdTGovr/fjTqrgCPK8YmFkJyWN3z1Fh
r+QqofBedZeQmCJm3a8UuZxfCRv+gSzsL5QxZHZ16oRMFSzSed55ln8cExtO
UArOrYKjG0d/TpgCRm/RFdwrWQ03TsZaM5trYD9G94d5XlVDFXP6A6Xrp7Fu
awXpy+JvgS8hJPPlD22saPzSvcIXb6FpNr62Z0Efi7GL+7glXAN5lRnzFW8N
Ma/v7cKa6TVw8ZPFfp+BMWZxeedWhEAtbOlRLHMeN8OwucPvhpNrYfiGVC0u
+AImfN2WW5S3DlZ0djNM1a0xmp/RjjcS6mDV7PrJF+W22JxzW20lqR5aTOq3
JdguYZ2/N9io4uqhyCgXt1xwGStwlbLTJzSAy8Uedf20a1jUilVpXHQD8FtU
sfDNOWFPiIlqjayN8MBLcUxr6ib2ufih4NFzjeASZX+V6rA7xmXgRpUb1wgO
1K5cj/JvY5Y/rGYERhvB4tsVqpfeXlh6sHb7M8EmiO27U/I+/i42LaKUx+DQ
BB78R0qp8X7YoQbBiHs5TRAunP7v4aY/5mLJ7Lbyqwl0Q+7PCQoEYqUb68ZX
FZqh1Tz0msX9h9jmsynlrx7NsJgmMpcuHIqpyfccMHrbDFcbHn5rZXqEPeiq
3m3bb4bNLqNk6pMR2LtrL8ePn2oB7S0OkeCZSIyJNqq5MKQFBD7H7lINR2Nn
M3xfinW1gIj3vuSHnRgsRv1aaAJHK3ylV6RcNXmOjYwYO7GZtoJt4IfJ4bkE
TMATDAITWuHm7vE6gepkzB4nrbD5rRU0KJ/3VHanYa8KuAg3RNog/pBaxa3Y
DOyXLtXG5JU2UPmhsi/i9AKTn1scMctrg475lsApx5fYW8G2NKT0DpQ5jGZs
115j+zVFAeV33kG0ipwTdcgb7JR58mWpundwWIXEFmBYiIWuhminUb4H15CH
eT+kirGuyFvSBK338JVmhCq+uwTjPGzDFhb+HkgvpTr9o8swsw7d5b2e9xDB
Tnt116cCG6cUqZw73w571YY0Re/eYmKprIlWye0g7h+NnTxch107vuX7aaId
JKrEEnhaGrD8wWkbLfEOmHP+q/zidBO24t6rUXO9AzoMYzN9WpsxZfZacfmC
DlCpMilutWnFfPJeMbxc6YCJdIKsxoF3GM20X0+ETydshuj1WvzuwHT8HYup
GztBp3hMY5m1C4vgM4u5Q/MBhqySPcuMe7DPVSe9FrU/QJm7weMl216MZHrY
wv7JB7Af2jO5mv8Js1rmVh/69AFaj4wo3+How9Kf0Ajpc3XBn6vVh50e9WNS
70ZnjqZ1weTRDxt2PUPYTfv37bnfuyDpuNXvkwkjWNl+SZ6gZDc0r+FP1z0Y
xTYTUyNinLuhIzVD3insG6auEu7GWNwNzP6q/60Wj2MBfR4mfmvdwHusOSZs
fwJ7d9NO5e+xHii6zeaoqzyFGeao7n1t7gHqOBFzqYlpLFZTbMKI/iNwUaj+
d8ZkFvsywd7yTu8jcNyR2Ywam8MuHZgLLer/CBYSZh8Fj//E+i0WyqNZeqE0
67x/Besiti5pc7Bbthf+Y3gdKbL7GzvRpsukcasXaFxVnhg9X8Y4+rM/qjzr
hYCUOMf57BVseooq9nBpL3T99vrzoPUvFkFRI3jgby9cC+wOPCizjl1iJ82w
4T+B4UTdpIfXBqYqcCuXRvET/Kv7r0WvbxObOiF9dMn9E5z8J/bCoGEHq9QN
2Z6J/gTbnslyPwz3sMcXvjeMlnyCokWu1B9r+9hRryTd9yufoFfxrGMyRglM
wRvsdbjPcMjmTFu0PBWMxRgPlBz5DAFm9zO+HKaG0BJm21T3z3DlrWawsD4t
WDddFY+J/gxcQYctmVzo4Ehvy4+wks/Q++3VDe4Uevi66OPhsfIZUr6XvE4V
Y4Li3aHjTrg+OMUbK8vvxwzBzEoUdkf64M4Vx67uWRaQO/QrXN+9D1aGX/zd
mWMHGlVtQ43oPghiDbnwsZEDhrWyiKolffCxMpnNJo4TAhys0kVX+sDhRfjJ
NSs8DKZ1lW+79cMDLslqkh0J8gokfZai+mHQVMR13pcb/OuC0GxxP/RfvcYv
mXUADo2qffi03A9lgcNGd7j4YH8hPvI95wAkNJf+MLTnh8+bq6Z1CgMwnq5Y
LFkjAL5c+RM5bgPwKuZEW2OnEBiJM2anRg3AbvkL3z+PhEFC6bJTTPEAJMv8
k79rIgK9Rvzr95cHII6OKjFiVxREnzxhPu82CNd/TZxzKTwIm0kLvfpRg8Ai
++SJbIkkdOWejtMoHoRr9Djf0/WHwLN9T0h2eRD83VMSIv9Kg97QhVlRziFQ
dzkob8p/GIRmy/MOKAzBhuBr4ygjWeikdlGmdRuC379oDxvdkIc0XOfOduQQ
eItqSDJxK8BtYYmmpaIh0IiOokpuVwB+GNP7ujQEoX0zd5dOKILrXQO7Utdh
2BuflyC5KoOui1oOQ+QwWPsTgsd0VEDUXuqPdeEwUBXfyYiXUoVBHbp7DL+H
QXtAfDGJ8jgUqa+2WLOOwN1Ay3yNzeMQrjDFVCozAhGV0/89Xz8B6gfq462d
RiB10XSQjRkDLtY34yXhI5Cjp6cVJwywRJEowZA7Ai+eXDHVFUKQNe9RVjI/
AruR8RkO+ieBqepwL/2VL9D2pm+S5uspmM7jJVk//AKGBern+B9rQn0a48WS
rC9AaObHDE+eBreQmZ9W37/A6dcrjH41WjBslkJfYjsK2vmPLtqu6ECJ7iMD
ev9R4NaOUC/q0YVHmHesVdoonJCIcuIu1gNMwlSUfmwUxk0/SLwN/Q9errGA
leVX+JiBD3nSYgh+C9sPi+9+heZnR+co9I3A/Nt8F13iV/jwKCKFfdgIWNpa
LYqHvwJ+YSBTb+ccuMf4etKZfYNTbwPkLruagn6oY52lxzfY4i4MHiaZgYSv
OU1xzDeokn9uH9JiBiOXlKIt+75B2u/3i78OmgNS/JVfZDgGbJp/y04ctASe
g19WaV3H4ETxr9eLK5bwl6f9hOXTMWDFSc8+brGCbKqsDtqeMfBeN72yfOsi
sH62nLHQG4dYM5uRbUY7mG3TkSlyHAf6nfFHI0F20Fitcos2fBysP19tiqSy
h9sZeMqi9nGIudJ/vpbuEtyouhxBJToBux1/k70VL4OsjpEQpdIEeOfwa0j1
XYalEbWSf5oTEJRofb3U8wrc3sEP7l6ZgMivMoTnHVfhLtbMv5E7AR5yTm9f
pjuC2sf8wrWaCci3f7jIY+cEezYJJ1e7JkDtqLbjnrgz+D9wvbz8ewLMGY0t
zetuQHCrQP7PI5MQDmhAJ9oVtE2Z4MepSThyciL/LK0bMM6u9c6bTELMLOn9
17tu8Ji+e3XGcxKo2vaHK264wzNdH7WJt5PA9O1jSNyt25DeO/ShX2MKvniY
pxQzeoO9XYt1n/EUlJxNG9HL9QbRlYI/nxymwEjrwRUhg7uQjQ/GfwyeAqo/
fjo5aT6Qb6Zk2dE5Bdakn1XBTn7gMie4+H50Co7F5VzWOngf5O8w33/3awpq
HcfkM2fvQ1nCVGYL23eokySelq/yh7dfI3/UnfsOh6Z/ZBeYB4DvDV/f2kvf
AShXFIvbAkB9/ypbze3vkGaXKlOuFAiNgnCkKu47TPZWvR3lDoL39oveJV++
Q5HkSoz19kPon9dhfGU/DZyx09eEJMPhT4Lk6UD3aVjMc2XILwgHJj36BzYB
08Cg56t7XuURoPzWTVImeb+R8nPes48hzw3mQyenoaqC6gpNQgQEbCu9d7Sd
AacCj77y7ihIycNTn3Gdgd7CM7aaotFQZbWCifrPQI5P+zmOu9GwWF9YMZo2
A6HK65iz9DMwD5TK1h+fgZCBMCwkJQbkWIQeyl6cBcfSc8TppuegW7ffyOQy
CzpCI9fzZeLBweXb7uy9WSj9faT6e3w8JPYm3k5LmQW29Ai5Fx4JQBdLdOD4
NgspfZn5jSgJvvIzn1qxnAPrxfIiFqE02OhZ8OtxmoPXNj4SjC/SAOff/jbX
Zw5ekSyme/HpoD318MilpDmoOGwTN5KYDqXZFCL9X+ZA5GdzYl9JBoTLrVNU
XJiHnbo61dfMWXDXS0d61nEeto7JrFrZZcH1hmRTLt958DY4c5ufPAdqnz2V
65k6D2e03pR8uPYS6G9GGqt8nwe1Y0mHWIeyIahAKrvKeQH6YqgGEudfw+31
e73z9xagmOO1wczZXLiEfdrmfroAEHaH6nxVLmj0eJ31Ll6A4ZWVUxWP84Dy
d+vmsfUFoO1eCo84lQ9+h230au7/gBnUuOrhUQQuHiUePyN/wKLHUa/8kiKw
rqNN5838AfQdT6mClopA7b83qz6t5P18Ck0cLsWw47yVosb4E2YHmuXfupbA
nTfPluqif4LiN6utnpgycJNuj218+QvCOJjn/SyrYfrytH96xS9gpLyuKPSm
GszSKZz93/+Cdd1Zi+t71XCceEwDLfwCbTHaU6sZb4Hq3+vfDTKLsBZuML2y
UgPRnx+daShdhEXLoL81ZfVQ4n12q67pN1wH5hN0Vs0gVuY0nfL5NyhUXxr7
G9EMcb9DPt77/htW2mjUlJub4e6lxpfqtH9A3kG7repQC2j8p3CuTvsPwMnR
veLdFugTwufVfvwDrQbcnGYlbbB9yangm8sSGPSSVmgsO8CW8++dWs8l+F7D
9pQrpgPa6u+eSvJbAseCpn9O3R0QeSB82DxiCeZvzWKTqBMOfsyh6s9fgqH2
WPZFqQ9gcnzWrPPXEsi9bHl/irkbCjjs/lU4LsOj+tcfjt7rBfs6M8PIKyvA
x6JpN1zbD5eW+xsbQ1fBu0ZGw69pDGzvRp6vilyFMwrfZDXnxsCKWv93Yfwq
2Ond4KJmHQczYgtvWs4qmCVbiDqaj4P2sWLPe+2r0HLn4tlPv8dB9sETmeMM
a4CLZb72+fEEbHJoxZeGrIHxFbfioyWTsJpAKZf3dA0UXNndoHUSlkXq2jKf
rwHJ1H8VG5yEH0pKf6NercEl0x4Pge1J+GYuYuD6fg3cIpxKL5ycgub0ferD
9Ovg62WjFNM9BY/lK29mB6+DyUBUZu3od+g8MjTrEbEO/+iDujp/fgeGoxvW
p+PWYapYS6Vj5zsEHVPRn365Ds8YLMTjeKfBR6NSUqRtHaK5GHucLKbB0aRy
MoV6A6hdz8dN9U/DmTuVxrH+G+DGqWqxVDMDQXeHOh1CN+Cp8uBGdccMNPtu
nFSK3IDj5VN8N4dmAHugIt+XtgF7siW+SSszoBxeycLZsAGxD5NEtw7Oglhy
ZdvjvQ2QuW7dmR8xC1SNlSpBdzdhsua2KaY3B7msuOy9gE2IfaeoKX9+Ds5Z
OhO8Hm3Cr3BPZbpLc/BiXWj5evImPFq712h9dw40D4fnnq3fhHsjW21Vr+Yg
ONGKn5dqC+gng9WY9+ZAdr7iUQzTFvDH/s4/Qj8Pg0c5t1nxWzCisNGtxjkP
Bz+1DVKIbUHE8fShTbF5aKeXi5w9vQWJ6Ww2bHrzwORBSV0StgWDWfOXX0TN
Q0mzpZt09BYsam/g/yTMgwVHxXhW4hac0z2TxZc5D3l5jrXP87ZA4oGvLn/J
POhP9Xnc696CT71RE6W987AqJzu9PrBFfhd9e1mH5yH5Xug517EtaImnvaEz
Pg+L3Opyl/5swVe/k4mXF+ch4mz2vDbnNry8VHZJgWEBlFMozjcf2AaDv6HG
8WwLMPbDou2EyDb0aqUPTxAWQC6YPVNWcRveVt1P4xJegN7aO5YE0224f7FR
hKi6AHeY+jqeWG/DHt2Z2lD1BRAyP6xKf2UbQkQIS980FsD17yRh23Mb8vR2
5A//twCcUno94/HbYN/e4WVjuwCz9Gmc7enbkEuYZotxWIC3MysmRTnbsPCg
Xqfg2gI4ZCSO+ldtg6+WbN0z1wU4dv+3wPXGbegOL/138fYCsFlr2Bu1b8N7
0tAW+50FqOL+MS88vA36GcPSovcX4Mm6ugzTxDbEhvTefBiwAPb9UTdX5sj7
P8YHdj9cAObIY+vNG9uwfCTnKPvjBbhIH0btQNoBhwPiTy88XwDFma9a+oI7
MCYiz/szYQEYWuTDlQ7ugDgpotQ+eQFK/IY5aFV2oJubVoYmYwFCrGRMFrEd
YDjOLiD7YgGsjvs/H9Dagdg8fYS9JPfx9YMC2WY7cGbk9QnO1wvwpc/HLuLi
DkhN3pbsz12AguKPWZ5XdiCIo9353psFCHwqOn/RZQdOqu3iWAsWwPyGl/QZ
zx24KpQiHli4AIf1PrjI+e1A+4NrheNFC0B1SLCEFLwDZw3/qxEpWYAhultr
/57sQEuHo4l+6QK8mX6nOh9LxinswVZlC/Cgmce3N2UHOHDVlsblC+T+7tJQ
9XIH9CRxk/IVCyDt10yVkb8DXq0rwmtkTGHFpRVWvgPn+i9KpVcuwMAxxzC3
uh2IvvOQ7kjVAuSS6rsutO3AMdnG5lwy9lvj5NDo3oF/W1FOTNULYNx32Vhq
YAdYYrNZjchYsrg6Dvdth1xnn8r9yHg3gvXL9vQOECtZ3Z6R8SdnO/7vv8h8
jPjoPyXjbN1y2w+rOxB/2d7UnYx9JBmzSnd3YPyqTIIaGRvSWc8l0eyC84dr
4r/J94tPF0kFsezC46gO+hAy3m6icXEm7MJ3JlEDejL+mGZebMK3C9M4J7qb
5Hiy7r1ZVRPbhTX9KqyeHK+3JYWquMwumF46SbtG5sfgmIkPq9IuhGlbXcOT
sSgpp37txC5k3r3neYDM5+bqDuXYqV2I1FbB6Ml8ZxS9CC0w3oXZKoOjieT8
eEZsfIiz3AWmVJsAIOdP11mP/f6lXegCl9au/AVYPfg39uytXRB25nRII+uh
g/bMiIrPLjS+lZ6YzlmA1O+JfEKBu3Bp978I3KsF0E7TeLEUvQs07+vrJch6
C2nv/RaQtAvu2muy4+kL8G75IjcxaxeyC+aXfVIX4LSmz5Nj5buQLDvbaE/W
c9ANxvYPdbtAqZy99iZuAVrjnlNdfLcLwWee9Iw+WwCNhVKvgKFdKGy2bph7
QtYLTqOEMLELJ65/oGgLX4DGE72/sud3gYPm6rGQEPJ/TMQvuw9bZD5wctNv
/RdATVFcn8C3B386h1wn3cj5sioNzhbbg12XuZr5G+R6f3iySfXwHmQ90MoZ
uE6u72FrZWtsD1YIV2ts7cj96V6cULbtHvQqL0pjZxdA/j39msrLPTA7THA+
JLEAN5di5Trz9wAml1lihcj1c0DM0aqCbF/wfuEcD7k+nNG4//s9uGjgZqzB
vgBSnN4dHQt7wLZz58nH9XkQs/yRYim7DxzfCtOtm+bhUtCd4UXlfXgb/nX9
1Nt5yMynw/vDPoxFXXiLK50HYQrR0CzDffDp8p25njUPAi8t3Rfd9yH68AET
yuB5IP3p0rpfuQ8qHgYr85rzEB/VYLfQsA/uspWiYWrzwK1U4mvcvg+nywdo
CEpk7P285ODIPmw/FZT/ITIPPNT2Ar3b+7DbduRF4r85ECBtrAlh/0Cq+/Uv
wfI5kADhl82t/yA5yohowzkH2ZP4Rpnuf/CQo3XtAR15PYhuNG6AjPc/e0Tv
zMLBjp8cTrP/QNYspcp3ZhZiDlnWM9JQoPNrAkzeVbMQVyouVSJOgdIGZ/QO
Ws5C4vu3lNTXKVA/7lI3IWYGliaKvP84U6CjjtQP9kNm4Mx29vKoKwXK8w6Q
GPWZgVWZZ5NldyjQcXH2VzcuzYBBtFPTlVAK1MbhL76tMANU1nwPOl9RoATB
5y3vuqbBaeUeRfQsBTotIGf8fes7qPGf/CfkQIlYI8fqdFWnQHqCY/rebSok
PnDANO7CVzCYE2r2vEOFUk90HnI78RVcf8un3/SlQiakeXZj/q9QtmtoZRdE
hVgyv0oenhwFtQNR/ZoxVIgkryitcX0U9M9xtjGXUSF2Hep70j5fwLmVMzvh
LxUKPGLE8OHVMER8EA6K3qBCLS8czJgeDUPRZwX7RztUSK6iZ9zcZRhWJ4wE
7lFTo/fvzz4VOzoMvntRcbZ4atRzM7jIt2UIHivjQg4qUqNPHpUfbb8PQn4O
7lq5OzXCdbMU2SsMQNBAw0lqL2okZ/fuWi1hAKyobvAa+VAjh7HLN+U2+4HJ
6n3Pr0Bq1H5gU9G+oR+usPseFYulRsMf/9BTnO0HIc8ZqmeV1Mhe4/zZ07f6
IOZUVYrrLjV6GqXvyvjpEzi5Xvaqp6BB06ktauOVn0AjBWfEQkuD1sb2qPpS
P8HyujNNDisNGlsz7SPc+AQGucJO4wI0qPeyWT418ydg4HykanCSBiXIK4Ym
6/eC75h1n3QwDeIe6rq93d0Nq2fUUy6H06CrHznXebO6wbmY72paBA2q2Z4U
877bDZZBo9u45zToSsNRi9mD3XBc6oLI9isapHLtr0/4wy7Y8jBxa++gQR5i
B5rn9D6AJ6se+2VWWkTVLN0uQtMBvz2lRlI5adG7bbOy0Ml2uDLB+GKYSIu6
2uXPSDS0g1lpu7K+AC2yzOCNofdph6MXtC4qytGizOXoPau197CadTKf0ogW
bXlw9AuvvgM3NVW91BhadJnqSKs9dxtQuMTcfxpPi5ifPdSU2W+FiLSlUv9k
WiT5aO6a4HQr5FK95ruURb4v9FfZg6JWmGo/8PtgGS1a7ktblNNrBRPTncji
Plr0nPJOz35ICyi71A+24uhQRC9PYD1/M7Sm8TBXcNEhHPGBmzZDM5z75Amv
eOgQvWW81+pKE7goyeWEidChZNHCoeL2Jni1neZtcIQO0X5q1KrxaALukAd8
w0Z06NE7zlP9A42wnaZp/zOSDi2c06mkvdAA2IZ6tEIsHcp3/s3VcqQBHhio
NHsl0KF4Xj/PBpYGYNg7JEKTSYcu06iw3mqqB6IF+xRfKR3y9YgsrDhcD/KE
L3YGA3SoCz2/dIKzDi6H3rQrPkCPhIpONbdT1EDO+LWoDX565B7WMOk0+RZ+
Kds3qYvQI+FNpmCs+S24z5gId0rRo5vDXEWuQW/BX+P45NQJeuQQwsewx/QW
Endp7AgX6VHg5TxGa6Fq6HVNtPXKpEcUCgmGOdcrQSqSY+d2Nj3KWb8Cx40q
IbAwONY9lx7pbJRG/1StBOXf7p03SuiR9NwP5zyGSkhx0lNyaKZH/y6EYwmv
K8Dxyi690RQ9isz8ObC1VA40VhcLpUQYUOyBiyeNyPPqRZ9+HUkJBlQWZ8pg
f78MKhN1p8WlGBCqkPF/5FgGjiPKB4SPMCBxC46egyfL4JMZeyBJgwGdqQ5n
fvCnFFKNGs1o7BmQL69zdqRhKRw7I7L/LYMBnT49LMsiWgJKLzpD379kQPCk
gQrjLAHZf+744tcM6Ood388B/4pBpLJFMqiYAUnKeX/X/FoMzAfJ/zdNDCjj
X7/Oq7hi+EaXk+M5wYAoXt9v72ArhgfvDhuzCzKifwH0emXMRdBx+lgOSmZE
1NMFYocd3sCd936y99MZ0XO1j44/Tr8BSZ3WsrosRnShP06j9eAbCNY/23Q8
nxE18d+q7fqZB5rGl78o1TOiFv36ACmPPGi0jWI5NMGIfJvbhuYe50Klz4Ir
pxgTojtkPbXckwMvixOOTeUxoeNXDwutRr8Exx1LqeFCJvQ2P7X7t89LkD8t
wNtTyoSMMyuDNh1eQu1w5m51DROyu8hQqqryEvr+5TVEfWBCF4q7Uq9/zQJK
g/rTJ38yoSX94ESfQ1lg/WPKKF2KGU08jImd7c4EoqiM48XXzEjPYOywp3o6
REY/Mnudz4wua8rx8EmmAxPVT43VYmZkk/i0vReXDhSTr3nD3zIjk0795a7e
NPiVerC7/AMzaufYVAiRTINWHlF51t/MqOHVV7tn31LgNo5nveYIC2pWEiq4
ezEJ/jzwnqJTYUGmlyrkolSSwHF5uMfoBAsSHxbRf8+RBLa9z1/NnWJBwddH
qqJbEkE/gngBb8qCEunTJF9LJYIoE2etoxcLuk3BbPRzPx4+UzIEHKhlQdIF
vJoBjXHwOz/homEjC5ryjgyyS40DRgvpEyGtLEhtVNPN3jcOUInB6moXC0o6
w1XcoRoHBfaxV3q/kf2r+3ZdvjQWHrWI6IX8Y0ENuh0z7gUxoPlQnbCmwYqg
bVvdqiEabBU+LkmfYUVuO3e+JWZEg8832257PVZ0Pag0aS8wGkqOBgX3GrMi
jabEbDmdaBCa7dzMc2BFTw6JHjszEAW7Wubf7INZUazIXK7+aiSUM9zK7u1g
Rd6k7PA3SREw6/tgsb6bFclddxgtcI4A7uWnSvmfWJGqxeSPJfUI8B150xw2
wooe9+QJK00+Ac3c2TGNBVYULJleWy71BD7rWZDKGdjQ7JN7Agkdj2Ap4mRo
whk2tPskUu4/5TAQoTb8GKLHhsq9OYrE2MPAxOsil+dZNqT3IY50bD4Uqmx8
ss6dZ0Pj/Ht03EmhcF++vJH5KhvqHR6UzKUOBbbPklv3gtlQbvat39vjwSBD
5HC0b2ND1YXHO6lagwBfWPPmZQcbsuP82OOWEQTb2lf/zHezocFx1TPC94Og
3bf+9s1BNlSVpGuHTgSBw7Tzfd85NqTLGJ7vWREIKaUdMXGM7IgkklvrWxUA
Qf95DI2wsqM11pP+3QkB4DwnxMOPY0c22u1xF3wC4DjvnbQXPOzo4zSyEoEA
GAyQyC2SZkeOfEeDnDseANu5wIbO/9gRzwZR99m8P6z9lKViO8eOYIO1yaXb
H74+/KJpZMaO6EMpOu6X+ENutULn0EV2dHTAgunkPX/QEp7on77JjlKQRclR
oj/4Lan92I9iR7QVpn0iKX7wJ2KdoDjIjj6M+zi9bPeBX0sCzYe/sCNFBer3
bBk+8OPcmZuSY+wob804vcHbB6a54jv4Z8nnk9jl1qR94EvqMT+GdXZU/33b
LeXZXbA/X//3NxMHUtSqDTS86Q3/XaW0bpXiQBRL49dqjL1APz62tEmGAzW4
MRzpU/QC3Y5DTA2yHOh8c/MyP8ELtKXPVVYf4UB68xVjOgOeoPEnk7PwOAeq
M+0w/XHBE1S9NN8l6HIgOzWZQ++dPEA0JETupiMHerEsSTmTfwvcB5X87J05
UOZ5nEn9s1vQKD7VZerCgZzackUqvW/BxVY1RzV3DvQxg1GXVusWJFKuZDHe
5UA0FWWpdBPugPO14skK40B/ONhmVQ64A5WbAu1IDgfqU+WYvJLiClMWo180
5jjQ8erntfGlTsCifv6V7QIHOnZoaM/loRMcFey75feTA1VoxNdcPO8Eod87
Wd7+4UC7KtXqYTuOIOf8FlPY5EDuQY+PUZ52BN97CZmCjJzoBdPf/05+vQbE
9POOu1KcyPLnVZZVniugPdO3Ve7CiXpvXLiS9NUW7klH+BS6cqLrAfcJnJW2
UOKmvZfjzokupTsHZ0TZAu9+LUWyJyeK8C8UJJyxhd9c2fQBfpzoacZmaswV
G4jRvkM0iOBElX/KrqWKWMNEHp/CbD4neqJz3I+p2xyIK4Ml44WcqHHo7qZ4
uDnoqkYpjRRzohlaJrvIM+ZQ2kqr2lXOiRi2QrRMW85D8LffWEkdJ/IYHThR
UW8GMuxN+n7dnIi9ivFIaJsJ3HG/fI1rkRMZpa2olnEbQaje76vH/3CiA+l8
8w+/GsJzMa+rF5c5Eev18MGP6YZQMRh6JXuNE7UomJ7/KGUIf4+/cVDe50QP
wr0chMIMwIX6r60ZOw5ZHE6QPyOoB/e++tje5cQh7+Cs+48rdOFxOY1tKh6H
ZKPjGAYMdCHvKpfNLAmHjoX3UN4K0IH5D8esPYVwaOCRTer62hm4FON/IU4B
h54UfWaIYzsN7jcYL7xVxCHzL2MW5ys0IUAr2nzsKA65uFc6idpoQvrmi/MS
x3EoWi9/f7T0FIxZvTet0MChtuGO1O7rGmAuznZu0BiHsrO6TO/TI7i2H2e0
bYpDmROpVcX3AbyGBI0EzHGIaWgn1nUFg7gwBcMrVjhEaT72l3lMHfoWTQzW
HXDor5Kh2aPuE2BQkaTL5YlDSe45p5aYVeHaX/t/xDs4NJsVpNP3QgUC5aXK
iHdxSHuQp8pOXQWqcqv4iX44ZAm3fLw8lEEkbWAJH4xDpdzt0ye3lEDta/JL
fCgOvehX+XUiVQnOH3CwwIfj0NnDUuLdmkrw+NlKCy4Ch6x/9m28jlOE9RD2
55xxOKRnqVG2o38EONoG9Tjjcchj1fHkxX0FkKZKpeBMxKH/cFQnULEC2PrK
OHKk4tBuBnOaB68CdLrqqLNn4xCFydpnHUp5mM7nWGHLwSHdbK3g575y8O/H
UDZbLg5decHw0mFLFpQuX+FgK8AhoaZbp7Cdw5B6IfA7SwUOOZyyDxETlIGq
ON14lioccoo65JxTIA19fZz/sbzFoV52CY4aJA0MBukVzPVkfs77HXRxlgJ3
jbowpnc4NCblk6s4KQmP7wdhTO04VNx7jMksSBJe1er9Zewk5/uYEkPHIUn4
qvzFirEHh5jxbNQPfA6ClvSGHMMgDsVshh01PyYBttfqp+mHyXz8+cUq+Fsc
fF4+TKD/Qr4/pxO3niUORYIEavoxHLq0qkJdxi0OnVajlXQTZL3mLT0PHxCD
mYRMZ7op8vmznW8MY8SAh6AwSDuLQ7F+OXHhJDFQMtoMp53HoSOW5Uy/R0Xh
bEQD0P7AIf8pDUwoUxSCGAxe0/zGIeHfp2R6FUXh966jL/U6Dsm4epR4O4nA
BXO9Q1sbOPTakX7KCBOB1lLpwd9bOES6cdM1BycCCY6/5L7skdelJM1LGoSB
5l3X14//cKjG6WKCWbwwuAjnh7VR4hGVnz6TpbswaA7f+F5Ei0fsNzXTr0gJ
Q6GiQWQ2PR6tPhhevMggDDxPZdWTGfGo8tOpuoQ5IVg6/ScuhBWPIgu2Uqtf
C0FSqavuRSIeSYcssgyfEAI6dqMNYxIeBbOath4QFQJXR4UsnQN4JNSt99qB
WYj8Xq3sKfHjEU/FbNRqnSAU+37OlRLEowfWISkuMYLAN1xyXkgYj/wqHxxp
dRaElYhbxczieJQdk+fdJSJI/j80vkh5EI9uGJLqHSgEof20EvOGJB5ROv4p
fjEuACm7qw5TMng0PdqsOZUpAAzmA5zDsnj0Sj/+UXuwALiXltd3y+NRoyV1
n4izAGg7enJXK+GRhJyWPtUJAShtM2srUMajO37T526KCYCAsIp7lioetTz4
SyPELgChviTBxON4lN5zuIhhhx/+Dm18eKqGRyx3xD/wz/PDRcXhOw8xPFLU
HlkzHuSH9ogqcR+ER8eHNbfT2vgh9bT3/SuaeDTqZv3kv1f8wJhxQcZKixwP
X3VwQgI/3N49NmKkjUfvBcTlex/zw9h5nuAzunjU4at1eM6fH3RKt4+o6+OR
6scig34PfihjGx0/YoBH2vJG0U+c+EHAseaxpCEeLZX1iTLa88OqkO8s3gSP
HpuKvxMy4gcbX6tnjGbkeD/oc+Xq8EPnkBr6dx6POL/nKfZq8IOSIv/i6gU8
ijr1TTFcjR/SIvYSfljiUd24pNVHZX5g+vFNa8IajyqkWoSfK5D9PV3/d8AG
j+Ja6aRGZPhhPD01/YMdHi0X5ug+keQH3V2//5ou4RH//mxYnhg/lJ+32a64
jEdfmUoEZIT5QagUXr25StabQq8rvQA/PGITMsm8jkeFB3a5lXn5Yf06BWW8
Ex698dybKOLmB7u2ifwnN/CI5k5tiysXP3QJNVkE3sSjhMKziy4EflD2zaD3
diPvz6SpycLxQ8bQgzKXW3h0c92+hpmTH2bb5McjPPAoSO7kbX92fpApG2cs
9MKjmQ+Du4Js/OCWGaH00RuPPIUNJqZY+KEiUt3mjw8eueVULzYx88Ou368w
dj88KrX8o1LBxA8nbySVyfnjUUaxJbGakeyPzhajaxAeebQqKH2i5wecao5S
ZDAeWbZauH+h44fzEudtikLxKGwnS+0LLT8kE+jCe8PxKD/klcoHGn6Yoiov
W3qMR/Zj/To51PwguXxpnOMpHnGNEZKcqfjhxjiOSSEKj7aOno/BU/JDSXeT
ktEzPJrjFBiP/8cHmzWuNm6xZL3oUl7e3OMDLFcwPOo5HvVyS52V3eWDwPie
suIEPHru/55WZZsP2oPvjX9KIp/39ZFj3+QDNg8ZppUUMl+iTUWla3xgfGlU
CZdO1lejXp7wXz6INwq3OZKJR88kbe6ZLfGBqOx8mXs2HtXazOgx/+CDa3zP
x6Nz8ChawfVwyCwfFDBpMZXm4hFflXJh0xQf/N1cVep7g0d7rHHG1WN8oDr3
wuZvAR5dzqQdcP7CB34D58LxxXik5nFKfHSAD1paKMsVS/FoIOuuM/UnPjBI
t2G6XYlHdG2XHt1/xwcxEWxHY6rxaPFpUs3nRj4Y8a2zKavBI0kqiuixt3zg
cIG3fLUBjzRW7rIKF/DB6zOd44RmPGISnUswf8UHv496Mx1txSPeLpkE3XQ+
8MYN2Xi045HOz9J6uyg+qKcIDo/txCPbW6onwsL4gOaPUnl5F9kftb3+mw/4
IOJDNNN6Lx6ZaBuN+bvyQVaQQbnnCFlPDhIW83p88MN9bzxuFI/sPAiv1DX4
QM7uDVPlNzwiZHv+slflg7fqTLYbk3gkwMx5TVKMDz6utzHd+UHWX/2d5ZUt
Xti+pm7rvYNH15IH1XwyeEG3Rgp57JH18p4ml/M5LySxcgu5/SPH5/slvOAx
L6iVrIxfoyagw7cDiYx3eMFv55WNOTMB+X1Nkcw4yws9/8WCCSsBVXcKNHae
5gXB9ABBQ3YCojj29xqXGi80alqPn8ETEJ8jnZDIIV6gjsDZqPAS0FU9jgkX
Wl4wmfiHKfITkPVz+QyWPR7IOrIoICdIQPMTmz/nV3lAa+j9mIQoAf0MaD3p
NMMDcYfK60XECSiGdMyEe4wH5nwyUwUOEtBQdcUe5xAPhArdu8glTUAyPSVz
mx08MOzuiOEOE5AWXcS/Xy08cKjtvACbHAGVUtRbnqjngbuk0/uMCgRUniRp
PFfFA53Xj4zRKhKQca6o4mopD/DUCtZTHiWgjaz32OVCHnBiY03dUyYgzVOn
C9TzeKDWdvvelioBCW2rF/i/4gGW0jnrteMEVFckaKOQxQNWtAPqy2oEtG8Z
2H8ugwfyzzfzL2IERL8cQZhP5YH914V784iAcr0sSKvJPGCwm/xtWoOA2r3N
33kn8UCqQXjdhCbZ3rumHZ9EHviT7pXyVYuAqGNpAvYSeAD9dbg3rE2OR0YF
T0lejzx9zrpfl4DuMkSYh5HxxHNQ79UnoIiwgYV4sj2FHzL8XQYE9EHrj/6R
FB4IUOPZe29IQOIsxmvn03jgcwT9t5ZzBHTL/9kplkweEJlcrW0wIaCZyNkg
o5c8cEtxKrnGjMzXm+KVQ695oPXhR99KcwJSbDhQ8jyfBwjDtValFgTUi3ve
l1zCAw5SuWqFVgTkyf7k3Akyv+W+z/nyLhKQ1doMwYPMP93HoN1sWwK651zy
Q6+NB8yE3b9m2hOQgnT3k6YuHsi+ZVOb6kBAvCEBGUP9PLDRpp+ceIWAvh5Q
K3n6jQfiHQ9aRTsSEFs0V+jPJR6YryWoRTgTUKvS2FLUDg8cY6fiC3ch86fk
lDJOxwtfSr+OPnAnoNDQgn+3BXlBmq6z5t5tAjpe8i6uXoYXfM0rk7w9CYju
xq5i6XFe4N+LsnS7S0A2v2zl0815QXvqv+rnvgQU8O9M9sZ1Xrj9npFU70dA
q5aaT3h8eaEz6sFnpkCyvcPM+y2ZvLDmqS6v8JCs14arg7qVvCBktfXkfAgB
VbY216Z08YKnhJtO1iMCemU42ZZNrs8M5sOvOp+Q9SA5SrLi5IOupXma5adk
PbgdGxw9RO6PNbaN6jEEVOj81FHFmg96zxqqDCWT+Rlo/IK6+WBHiSV2L5WA
vv9n6Cnzkw8keNpXRDMI6ND18IBh8nviOw0Fri8JKC37mqEj+b0+5C0nzlRA
QOdbF/6qfOKHgEw2vHoD2T8WTZ+DlIKQH9LpeqmJ7H/AwumlQ4Iw7BzcE9ZC
XhcfIeobC4Ksyn7Y4HsCOnb6mVL+K0EY/bBI4dpLQHIMWpiRtBAorXX9zpwk
INbX8/qV00Iwe+ZRJwMNEckESj++fVME7PVshcTpiEgNJSeuh4jAN4OjnicZ
iOiJrK2ma7oI9JuOC99lISLX7xkk+CQCzZcUvX8SiIjFlf/IjoIopNwfPdgj
TkRB/zkEuS6KAndg0b0fB4movOtdN4lGDGKCH/bRSRHR2WyDO2E8YhD+RO4+
yBLR/Ej2YqOWGNxJChwsUiYiYe11baVkMTCplH747AwRfTL/d3RcVRx631KM
FuoQUZrhmaRFXXHQqx+Q79Ijoo/5tkwpVuKg0Xb/K40hEU3/Magf8BOH+naT
I8LniKgpQd/L4qk4HOs6FKpuQkSeQtsiXmniIN/Xp+hpTkRdOK3cm/Xi8GYw
JyzagogqFwL1z3SLw8Ev98YLrIjoM7v8zYJRcRCYPPhozpaInmu2q4tuiAPL
H58p8+tEdMz7WqebpASErhiqejgR0aZD8a+nihJAvS4eEXWDiAJ+PRiSxSRg
e/fjsU43IppKVEyYN5IAT4qXT2dvkflzNLGgsJSAZeq7M1SeRBTD9LEq+pIE
zDOJRZ24S0Snw7cqhG9JgAPb1ux5XyLarm7O570rAeOcPWq3/Yho4LTlUri/
BFgQX0RH+hMRw+lr/7kES8Ag9535NwFENFzQndH6SAKM+P7DOoKISOdt+/Dj
SAnoEhSJmQkmomhRhl9tMRKgLbqxQBlGRLw3m7+7xEtAi0QXCDwiogpS52Bw
kgToRozrcj0hohOC9byzKRLQu7ZiyvaUiNZtvT60pUnAeWs6O7ooIsIHWuuJ
Z0jAWOsB5/1oIqKqILDQZJL9lznstR5DRBlLQWF2ZPzzGQr4HUdErfPjuupk
7L5j/GQ2noj4Xr+ciiOf37S/Gj+WSETsX179vpEuAX6dd18MJhORXC4zd3Oq
BNAeiSjoSSWiOVdd/LNkCXickFH9Lp2IRrbl0ycSJABHWd5an0lEnYHfwnLj
JCD+WvvHiizyfddrs5eiJUCwd/RLQTYRjcYEDpdESEC2yp+Z7BwiuvdUhmU5
TAJk0qiWU3OJqN9y8VhekASU0HHtxr0hoi02+cuTfhJwzOUQ/dMCIrrNHZb8
7I4ENA6o4UKKiKjH5s1Wk5sEaKkb8t8vIaLLJLsMZ0cJ6M66JOlVRkQztrdb
ntlLgAmLl+LNCiLiqs1NVLGQALvRFB2bt0T0Pp8+fP0MOf8axSbna4lI0nzz
PxxZPy65rTZn68n5/nJX4A1ZX77ePz2gmYjS8fgSS34JiCMdyxTsJKJv0grB
1T/Ege++fj6pi4hyFU5p9X8VhxezNlXsPURktHSw2q2HPO+WB/f8+0S+r/tZ
h0qROHww7t8eHyGik3I7Mgwu4nCuZo52eJSIqqV/Dpwl19ewyA5H7zeyv85e
esLk+ptdFj7YOElE3Zx/By6LiQNF5E3j9AUiggePh2L6xCB4I+Bi/E+yXreb
iLr1YsBqE3c9cpGIqpKUnaNzyPOzbN19/2Ui+o99NWXSRwyOdjG9sd0i65Hi
vEE6vxg4MmTTCDNyIb/nV+NnDUThA1Xok1PMXMjohkiyGLnfyOxd57rCyoUi
9Zq/7uNE4c/yYck8Ti60rvygKHJABG6Plusd5eFChhbTslfNROBeQVu0jjQX
mvPpxL5qC0OkyYyQ+39ciHrdLGGWSgCWDd6/jjnLhWzjvtjaVfLDOZ3XRyqN
uNBUXH9XLnn+ImI3NHdNudDywMjd2j4+SDy4djX4IhfKVCw9eZH8vmRt0xQm
3uRC5/2ZB5LUD0Bluph6SxQXehOkHLYWRgCxf5o+Tc+4UFhE/2jmaQJEWl+u
bojlQumS4VnxlAS4xpN9tDaBC2WbhWHX7uKBJ+agbHkGF+LL7bYYv4kD3xAp
wVfFXCi140E8cuaA+Rld65elXOixXsJOwmEOMNV0SnpRzoXYCqsom8bYQZby
DSm9mgvpmv8JuTPPBuN3D3MkNHGhrCsn39fRsYKGizzlo09cKJ6vNkzHjREK
ugwhrI8L3c6O9RKgZgReabd7IQNcKEUxqWgnlgFW54q3Ake40Ib5fttgPT28
tFNc8Z3kQrd+7S0DPx0wmCp/d1nmQsdlMhlZ2KjhdqmZ8I2/XIippuQPqZgK
Jjm9bJzWuNAzy11rMKWCtz2Vo1e3yPzR6ahNpVOCk/axfltKEnrtrfrJ9zQF
9JxQazvHSUJG10dS3oXsYOFVHjtaeBJaf2odorK6jZ05WqhwgkhClw1njjfZ
b2ONsiKpogdIaOn7VC9JawsrFWbwWhUiocpTFFrx4huYa+rJ/HkREiKd9aJ4
nrmOyfD6fP8qRkK963rzycLrWDbh99k2SRLinxZWLhVfw+Lp+yXj5EnocUTo
s4rTfzHTIFab8CMkVG+PO5v8eQXDUZ6J9VMioRYHdi9XuxXs0XY15VVVElq4
Xjs6ELSM+S2mfVFBJKRo6/f9Qusf7FKf0+ORsyQEVSFXeOYWMCHDl83dRiQU
7dxpznZiAfvaNbbZZExCf90EX1hFz2Nm74wu554noX9hmsHfdecw7WoVzMeG
hAKPVC3GTE1jtMput2/akRDFncVSM8NprLkkN/fSJRI6a7jqfLDpO3biDT9J
/yoJzcivfenJm8Jk06iX+G6SULhypYlo1gT2g1ddgtONhIJLl5p0D01gr+I9
rWhvkdD83sqmg/04JhS90L7oSULGlR7SytHfMPzDjxn1fiT0Evvpclv+C9ZL
yThc4k9CIveLDiQ5jGCP/TTYXgWQ0PQNgf9epAxjdHfK7z4NJqESiSFpRoEh
bNMxydg2goQkYip6qM36sad3X9DfjySh/q3PwfiMPkwiPK8mJZqE/rCdrz64
/BkzfV0jOhpHQiy5jvd30j5hv6pahrbiSWjv6bmr4fu9WFD7h0fcSSSUWDns
WWvXi5XMjf41TSOh9uXnf0ycejCdje+vbmeQkFppmqCLfjc2QffL8tkLEuJr
lz7JodyFsUvstvS+IqGxg4eklEU6MWcHvhi9InK8iVWf2S+8w6hvi2k7lpDz
014o7OHdhiUGyuyGlpHQRc92w930VqwjU83hXRXZvpB6ZhtNC2Zbosk985aE
BHeci0pRM7bZpN9FXUdCurcpfHgDmzCJSSulk00k9N2xeqicpxGrW3KYt2kh
oXsIIyqM12MmFDeS/dpI6MT2j3u5MXVYoOA9mtoOEpKTXvr7ULgGm7BO6Vf+
TNaHRujfircVmNeNl6Gm/SSkxfj92K/qcoztXr7a7UESiki7eOFxcxmmnlyX
VfyFrO+td8/2f5dg/Xlt5r1fSci+/7K5Pq4Ec67pZvkzRkLa5gu6u+rFWOKX
b7dlvpOQBb0CL5tlIabwY0ZSb4aElk3fbHdP5mPtW4tfr8+R6/P1q9IrXm+w
De59zVc/SSh0PFXeqPs1ZnJegCiySkKfy7uu9JHIKrki0YHWSSi/TzAAx5iF
BXjK3rPZJCG72BSdVtoXWHEsNpO8S0LcotmFm4IZmPZLrYSafRIaVS6wqVNL
xybKDP77QsGNxoT03iy/S8XY+i+Wk2i50TPr+juTiUnYy+9XrivTc6MPimxL
lEKJmNpfF35TRm50rh7YbCriMSfc/YfRrNxI1Dk+5z9CHEYlEnKsmJ0bna5a
Hc75EoMlKjxd/MjJjS54hf7rK3yGtRummbJycaN7oZ/KLYKiMMfWmXp6bm4U
OfvpuOezSIxVVUaSiocb/TKxfq1s+RQ7J1i9vc7PjRp0kUcj1WNsNfrfpWVB
bnI8MqbOt8OxODqt7p/C3Ehv6X0L9VYoNrr4OW1CnBsRDhgfYFYNxvzsDjCO
HuRGJ3eT7PDLQZjQgI37wCFu1Mr4sEflbSDmUPtLs/MwN/qTc0sT7j7A6OQV
C1rluNGNN8J732/6Y69feJMaFLjRdx8KkuGsH/Y7nO5H6VFu9NlX798T5INF
7usbF6hwo6iKaxSEaG9M0f1Zbc4xbhRMP119Z9sLu3NB6GmKOjfq54pKmWT2
wHi6r2w+B26k9YDh727JLawO5dtFn+RGmuw/NsVuuGNUkseVQk5zo+M6a1Ji
JFcsK8k/5cEZbvQiTF70FZMLdob9PZ2vDjdqin5//z6dM/YjgNXVU48b1Xax
2p0VcsQerxuPuP7HjcIevZF5YXYNk3VM1HA6y42+5blZEXOuYL3fJvIuG3Ej
kZ91Igb4yxix7YafhSk3yoAbFesK9liVatmcyXluFP8h2WRzyhazeLNtePYC
N1J6HrD8zsgG2xU8+VbHkhtlJ9ebAq01lvosRFTTmhvVrC1IoTELDNH3PMZs
uBH/m82L7/7XcJn4U52FcRgJbbI7v5CohIYiI8s9p1eKaMbaVEiWCS0omSi0
F1KWDFqIueJK2YW4KaorS66s1bgpsoWEunZz5/cfvN/nfN/n855/95MvIXKT
Rh4InCvauL3Te4mmJ7NWx4vOZ9sVnxbvSOrbB/Q0fRAMCYb965Y6ED8r3WT1
IwgyQ5n2mffsiFTlX6IqxxBEzHF19/xtQ4o2s/0U/eh+yk6GVK/6jezJEH4n
fRyBxpvq2NdcKzKluAuWByCYbOU4VuZYEoagTUb4FAKJ5/n9p3jmpOukUthc
EIJctuPZq1rbycV+jz7+aQTbYyso5VtA1jk/sBkLQbDX61WvvQUhNY2jZUNh
CPKmSK/vLVNy2OxXtb5zCLh5VgdbVIzJ0pLQqE8XaJ6ssKaFdkNimyLh2naF
7jNo7bjC1ScTK21ruOEIIDPRqEpCjyRcTtxUF0n3p88lQahZlxhOdd5+GYUg
cD4sEHdsJO+Pqos8u4Ho/+tUnbGyFgnpOnzsSQwC/zXua81TNYiKQ35bURzN
2/fgtdF960gVh49z4xFkOctbye9UJ57GjKysBASNHiJvmz3WkCPfGvm8JASO
ieGRG38qkxNMtx0yd+g8SrdnSiIpcvqP8XjLZATCd0hy4GkFcn7J5e6wewiC
qwewMVuWhFfKbS5KQ8A/vzw9yEqaxASwzg0wEZSuiNB1MZIkieuNGpUzEOQv
zv7S4rSUpHyoU3JgIehYfPOR37AYuR/tcjTiAYKizJKcrT2LyEOzb0+ePkSw
3HxL8xoDYVLEPyc+kYPg+OLqNF7+Ai7Pltq7IZ/O2yqa6xQ1g6tc0zMOFCJw
0Y7JsBjk41ppgx83ixFsllHIusGewE0cjtnrEgTKeTobCka/444z++LmyxBI
HVR1WLRmGH/U+dqlV4Fg9Y7BpHF+P+7tDtHxeYog3a+8ztX1Cx5JXB6W8oz2
1beyMvGdn/EPq9T65ioEqxTKD3JNOvHswiZK/CWdv337RpnCDixSVO3D4ND8
Gm6N81pb8BJvx9KA1wiOWV7YWUo1YalVfaJZdQgkXzHCHeLqsCI3yJHXgKBJ
RDbaZPAVXn1JIl2ai2DsqXarhkg11jC8O2bxFsFCPz915gob6wxt3BbWgqCe
/6ZsWK0UG6RWRhe20e/b8OH+7YJCzHCw5fV30Puz2zmoQjEHm4t1ayt/QFDF
NZT/rMHC1hUnz9h30j4/3J7I3svE9v6iteEfERh5ZkzC6F28Xz1J4eknBC+K
T1WEViZg944NXuPdCHj5W7nW2bHYJ6q8WKMXQQElX970PQL7k90iB/ppnpNb
gqO/XsRBEzy7m4MI6h4/zy6+HILPsvzTaoYQnBeo3nI7FIivOAuNzo0gaB+o
kpgW8sXXJeMZet9pH3FjJFhjf+L4F2uve48jmLnDPCQx7YLvBpV8SP6BYM93
19gRa0fM1LbUbOYj2PWix75G3Ro/6HofJDZN+6PVjbfgZIYL4o9yTGcRvF9m
zPOONMRlFvOyAfMIMN9vZeb1X/Cz2WhP1n80nydiUSuS1DAnT7WwU4iC2n+o
OSEhefzGs1AgtYiC+WD3RSx9CdymYG5jsZiCybM1dpdezjI669tSQsUpOK71
NszdZITRc857uGAJBQ0X9P0NNXmMIf1p4/5lFJikX2IKLOsZ4/3XIpUkKZAp
eqzvm17KmL6r9M5OioLgns9H1VhMhsAmd324DAWbxPQ4meaRDDH6ZGfLUbDP
S9CzzMqXIXfMU1qDouCeuEnVoYdqDCXVn24uShQYOLEvGf0+YqreejUvToWe
X4GJRx8xTbUjFBc4qhRomN8pNMtVM9Uzzd49p0aBQLBt1Qm2rMH/T2Yuuw==

       "]]},
     Annotation[#, "Charting`Private`Tag$4365#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$4365#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 8 r = 3\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879298689591*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"cabd058b-3b89-4f7f-a81c-6800940ffe00"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878792987065*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"89db8a4d-f509-4d4f-b84c-7e117efe56de"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879298708596*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"c8d5e87d-06e2-4495-a61a-2235a28852f6"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 8 r = 4\\n \[Epsilon][\[Tau]] = \"\>", "\[InvisibleSpace]", 
   RowBox[{"64", " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "4"], " ", 
    RowBox[{"(", 
     RowBox[{"12", "+", 
      RowBox[{"22", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"19", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"12", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"5", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"6", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"9", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"8", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"3", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}]}], ")"}], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"-", "18"}], " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"19", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "-", 
      RowBox[{"6", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"9", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"8", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"9", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"3", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"-", "11"}], " ", "\[ImaginaryI]"}], "+", 
         RowBox[{"2", " ", 
          RowBox[{"Sin", "[", 
           FractionBox["\[Tau]", "2"], "]"}]}], "-", 
         RowBox[{"5", " ", 
          RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "-", 
         RowBox[{"2", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "-", 
         RowBox[{"3", " ", 
          RowBox[{"Sin", "[", 
           RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "-", 
         RowBox[{"12", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "-", 
         RowBox[{"7", " ", 
          RowBox[{"Sin", "[", 
           RowBox[{"3", " ", "\[Tau]"}], "]"}]}]}], ")"}]}]}], ")"}]}]}],
  SequenceForm[
  "L = 8 r = 4\n \[Epsilon][\[Tau]] = ", 64 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^4 (12 + 
    22 Cos[Rational[1, 2] $CellContext`\[Tau]] + 19 Cos[$CellContext`\[Tau]] + 
    12 Cos[Rational[3, 2] $CellContext`\[Tau]] + 5 Cos[2 $CellContext`\[Tau]] + 
    Complex[0, 6] Sin[Rational[1, 2] $CellContext`\[Tau]] + 
    Complex[0, 9] Sin[$CellContext`\[Tau]] + 
    Complex[0, 8] Sin[Rational[3, 2] $CellContext`\[Tau]] + 
    Complex[0, 3] Sin[2 $CellContext`\[Tau]]) ((-18) 
     Cos[Rational[1, 2] $CellContext`\[Tau]] + 19 Cos[$CellContext`\[Tau]] - 
    6 Cos[Rational[3, 2] $CellContext`\[Tau]] + 9 Cos[2 $CellContext`\[Tau]] + 
    8 Cos[Rational[5, 2] $CellContext`\[Tau]] + 9 Cos[3 $CellContext`\[Tau]] + 
    Complex[0, 1] (Complex[0, -11] + 
      2 Sin[Rational[1, 2] $CellContext`\[Tau]] - 5 Sin[$CellContext`\[Tau]] - 
      2 Sin[Rational[3, 2] $CellContext`\[Tau]] - 3 
      Sin[2 $CellContext`\[Tau]] - 12 Sin[Rational[5, 2] $CellContext`\[Tau]] - 
      7 Sin[3 $CellContext`\[Tau]]))],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879300025535*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"0a0a2ca0-aa26-4eec-8e53-615151975d6a"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwVV3c81d8bd20iLq570UAlSbIj7uc5qYR8lYwGslOyd7JClEpIhKyMRGRk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       "]]},
     Annotation[#, "Charting`Private`Tag$6690#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$6690#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 8 r = 4\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->
   NCache[{{0, 2 Pi}, {0., 2.202642684939219}}, {{0, 6.283185307179586}, {0., 
     2.202642684939219}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879305128512*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"8a20bbb0-1afe-410a-9777-77341a95e978"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878793058274937`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"cd046ab6-0e74-46d0-b3fc-012cf65ac3ab"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879305829054*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"ad659f3c-b941-4ab6-adc6-cc5ecdb35c55"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 10 r = 1\\n \[Epsilon][\[Tau]] = \"\>", 
   "\[InvisibleSpace]", 
   RowBox[{"128", " ", "\[ImaginaryI]", " ", 
    SuperscriptBox[
     RowBox[{"Csc", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "8"], " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "13"]}]}],
  SequenceForm[
  "L = 10 r = 1\n \[Epsilon][\[Tau]] = ", Complex[0, 128] 
   Csc[Rational[1, 4] $CellContext`\[Tau]]^8 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^13],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879309106967*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"c57bb544-8c06-4aaf-bd0d-547a71180dcd"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c8l98Xt/f8jL7RsgkRIcpzz6VSIZFQNlHSIDujsqWSPVKRIhXZlMjI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       "]]},
     Annotation[#, "Charting`Private`Tag$6831#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$6831#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 10 r = 1\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879416388694*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"2fbfb8f3-e6c1-4775-baa2-3136f6fc282b"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878794164811077`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"7e58f871-3d7a-4de0-883f-c4a10a512af2"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879416483288*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"98f78f2f-873f-4ef4-901a-89a5b60936db"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 10 r = 2\\n \[Epsilon][\[Tau]] = \"\>", 
   "\[InvisibleSpace]", 
   RowBox[{"65536", " ", "\[ImaginaryI]", " ", 
    SuperscriptBox[
     RowBox[{"Cos", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "8"], " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "4"], "]"}], "5"], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"24", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "4"], "]"}]}], "+", 
      RowBox[{"35", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"21", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"30", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"10", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"9", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"7", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"11", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
      RowBox[{"Cos", "[", 
       FractionBox[
        RowBox[{"13", " ", "\[Tau]"}], "4"], "]"}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{"35", " ", 
          RowBox[{"Sin", "[", 
           FractionBox["\[Tau]", "4"], "]"}]}], "-", 
         RowBox[{"49", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"3", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
         RowBox[{"2", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"5", " ", "\[Tau]"}], "4"], "]"}]}], "-", 
         RowBox[{"3", " ", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"12", " ", 
             RowBox[{"Sin", "[", 
              FractionBox[
               RowBox[{"7", " ", "\[Tau]"}], "4"], "]"}]}], "+", 
            RowBox[{"Sin", "[", 
             FractionBox[
              RowBox[{"9", " ", "\[Tau]"}], "4"], "]"}], "+", 
            RowBox[{"3", " ", 
             RowBox[{"Sin", "[", 
              FractionBox[
               RowBox[{"11", " ", "\[Tau]"}], "4"], "]"}]}]}], ")"}]}]}], 
        ")"}]}]}], ")"}]}]}],
  SequenceForm[
  "L = 10 r = 2\n \[Epsilon][\[Tau]] = ", Complex[0, 65536] 
   Cos[Rational[1, 4] $CellContext`\[Tau]]^8 
   Sin[Rational[1, 4] $CellContext`\[Tau]]^5 (
    24 Cos[Rational[1, 4] $CellContext`\[Tau]] + 
    35 Cos[Rational[3, 4] $CellContext`\[Tau]] + 
    21 Cos[Rational[5, 4] $CellContext`\[Tau]] + 
    30 Cos[Rational[7, 4] $CellContext`\[Tau]] + 
    10 Cos[Rational[9, 4] $CellContext`\[Tau]] + 
    7 Cos[Rational[11, 4] $CellContext`\[Tau]] + 
    Cos[Rational[13, 4] $CellContext`\[Tau]] + 
    Complex[0, 1] (35 Sin[Rational[1, 4] $CellContext`\[Tau]] - 49 
      Sin[Rational[3, 4] $CellContext`\[Tau]] + 
      2 Sin[Rational[5, 4] $CellContext`\[Tau]] - 
      3 (12 Sin[Rational[7, 4] $CellContext`\[Tau]] + 
       Sin[Rational[9, 4] $CellContext`\[Tau]] + 
       3 Sin[Rational[11, 4] $CellContext`\[Tau]])))],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879421215763*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"5d6ae504-67eb-4162-bf6c-36bfffd05114"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c8lf8Xt/fm3muUkFCEVEj3ec4HlZE0aMiWVJJVRlZI8m0IIVQoM3uv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       "]]},
     Annotation[#, "Charting`Private`Tag$8932#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$8932#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 10 r = 2\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879503741921*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"24c87f2a-cc48-45ea-8d03-9638bb383304"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879503839888*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"78958db3-864e-49e7-91fa-83452785a1fe"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878795038419733`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"9a437a78-2947-4034-abd3-14f96add048e"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 10 r = 3\\n \[Epsilon][\[Tau]] = \"\>", 
   "\[InvisibleSpace]", 
   RowBox[{"512", " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "5"], " ", 
    RowBox[{"(", 
     RowBox[{"7", "+", 
      RowBox[{"11", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"11", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"6", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"3", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"3", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"5", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"4", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"2", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}]}], ")"}], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"-", "5"}], " ", "\[ImaginaryI]"}], "+", 
      RowBox[{"17", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "-", 
      RowBox[{"4", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"17", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"23", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"8", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"3", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"7", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"8", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "-", 
      RowBox[{"4", " ", 
       RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"14", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"3", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"20", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"10", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"3", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"6", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "2"], "]"}]}]}], ")"}]}]}],
  SequenceForm[
  "L = 10 r = 3\n \[Epsilon][\[Tau]] = ", 512 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^5 (7 + 
    11 Cos[Rational[1, 2] $CellContext`\[Tau]] + 11 Cos[$CellContext`\[Tau]] + 
    6 Cos[Rational[3, 2] $CellContext`\[Tau]] + 3 Cos[2 $CellContext`\[Tau]] + 
    Complex[0, 3] Sin[Rational[1, 2] $CellContext`\[Tau]] + 
    Complex[0, 5] Sin[$CellContext`\[Tau]] + 
    Complex[0, 4] Sin[Rational[3, 2] $CellContext`\[Tau]] + 
    Complex[0, 2] Sin[2 $CellContext`\[Tau]]) (Complex[0, -5] + 
    Complex[0, 17] Cos[Rational[1, 2] $CellContext`\[Tau]] + 
    Complex[0, -4] Cos[$CellContext`\[Tau]] + 
    Complex[0, 17] Cos[Rational[3, 2] $CellContext`\[Tau]] + 
    Complex[0, 1] Cos[2 $CellContext`\[Tau]] + 
    Complex[0, 23] Cos[Rational[5, 2] $CellContext`\[Tau]] + 
    Complex[0, 8] Cos[3 $CellContext`\[Tau]] + 
    Complex[0, 7] Cos[Rational[7, 2] $CellContext`\[Tau]] + 
    8 Sin[Rational[1, 2] $CellContext`\[Tau]] - 4 Sin[$CellContext`\[Tau]] + 
    14 Sin[Rational[3, 2] $CellContext`\[Tau]] + 3 Sin[2 $CellContext`\[Tau]] + 
    20 Sin[Rational[5, 2] $CellContext`\[Tau]] + 
    10 Sin[3 $CellContext`\[Tau]] + 
    6 Sin[Rational[7, 2] $CellContext`\[Tau]])],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879508174634*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"4bcfc78f-2541-418b-ae85-2c9679c64cd6"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c81e8Xt/e4l8uVSiL0jYyycz/nUVIhooyyJWSPkFlKSBEKoaLMjLIp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       "]]},
     Annotation[#, "Charting`Private`Tag$11062#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN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       "]]},
     Annotation[#, "Charting`Private`Tag$11062#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 10 r = 3\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->NCache[{{0, 2 Pi}, {0., 1.}}, {{0, 6.283185307179586}, {0., 1.}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879597815281*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"c7a1362b-b049-480a-9c01-b660f2b17927"],

Cell[BoxData["\<\"============================================================\
==================\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879597920651*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"5915999d-91d8-44c5-9d71-e03b4eb4d884"],

Cell[BoxData["\<\"\[CapitalEpsilon](\[Tau]) = \
\\!\\(\\*SuperscriptBox[\\(2\\), \\(\\(-4\\) \
L\\)]\\)|\[Epsilon][\[Tau]]\\!\\(\\*SuperscriptBox[\\(|\\), \
\\(2\\)]\\)\"\>"], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878795979227057`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"d1f08c76-f1f1-4872-9ef8-e2e27e1e82ab"],

Cell[BoxData[
 InterpretationBox[
  RowBox[{"\<\"L = 10 r = 4\\n \[Epsilon][\[Tau]] = \"\>", 
   "\[InvisibleSpace]", 
   RowBox[{"512", " ", 
    SuperscriptBox[
     RowBox[{"Sin", "[", 
      FractionBox["\[Tau]", "2"], "]"}], "5"], " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{"29", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"26", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"18", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"11", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"4", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"Cos", "[", 
       RowBox[{"3", " ", "\[Tau]"}], "]"}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"(", 
        RowBox[{
         RowBox[{
          RowBox[{"-", "16"}], " ", "\[ImaginaryI]"}], "+", 
         RowBox[{"5", " ", 
          RowBox[{"Sin", "[", 
           FractionBox["\[Tau]", "2"], "]"}]}], "+", 
         RowBox[{"8", " ", 
          RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
         RowBox[{"8", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
         RowBox[{"5", " ", 
          RowBox[{"Sin", "[", 
           RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
         RowBox[{"2", " ", 
          RowBox[{"Sin", "[", 
           FractionBox[
            RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}]}], ")"}]}]}], ")"}], 
    " ", 
    RowBox[{"(", 
     RowBox[{
      RowBox[{
       RowBox[{"-", "5"}], " ", "\[ImaginaryI]"}], "+", 
      RowBox[{"16", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "-", 
      RowBox[{"8", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"13", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"15", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"8", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"3", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"19", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"4", " ", "\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        RowBox[{"4", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"\[ImaginaryI]", " ", 
       RowBox[{"Cos", "[", 
        FractionBox[
         RowBox[{"9", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"2", " ", 
       RowBox[{"Sin", "[", 
        FractionBox["\[Tau]", "2"], "]"}]}], "+", 
      RowBox[{"2", " ", 
       RowBox[{"Sin", "[", "\[Tau]", "]"}]}], "+", 
      RowBox[{"2", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"3", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"9", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"2", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"8", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"5", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"12", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"3", " ", "\[Tau]"}], "]"}]}], "+", 
      RowBox[{"16", " ", 
       RowBox[{"Sin", "[", 
        FractionBox[
         RowBox[{"7", " ", "\[Tau]"}], "2"], "]"}]}], "+", 
      RowBox[{"6", " ", 
       RowBox[{"Sin", "[", 
        RowBox[{"4", " ", "\[Tau]"}], "]"}]}]}], ")"}]}]}],
  SequenceForm[
  "L = 10 r = 4\n \[Epsilon][\[Tau]] = ", 512 
   Sin[Rational[1, 2] $CellContext`\[Tau]]^5 (
    29 Cos[Rational[1, 2] $CellContext`\[Tau]] + 26 Cos[$CellContext`\[Tau]] + 
    18 Cos[Rational[3, 2] $CellContext`\[Tau]] + 
    11 Cos[2 $CellContext`\[Tau]] + 4 Cos[Rational[5, 2] $CellContext`\[Tau]] + 
    Cos[3 $CellContext`\[Tau]] + 
    Complex[0, 1] (Complex[0, -16] + 
      5 Sin[Rational[1, 2] $CellContext`\[Tau]] + 8 Sin[$CellContext`\[Tau]] + 
      8 Sin[Rational[3, 2] $CellContext`\[Tau]] + 
      5 Sin[2 $CellContext`\[Tau]] + 
      2 Sin[Rational[5, 2] $CellContext`\[Tau]])) (Complex[0, -5] + 
    Complex[0, 16] Cos[Rational[1, 2] $CellContext`\[Tau]] + 
    Complex[0, -8] Cos[$CellContext`\[Tau]] + 
    Complex[0, 13] Cos[Rational[3, 2] $CellContext`\[Tau]] + 
    Complex[0, 1] Cos[2 $CellContext`\[Tau]] + 
    Complex[0, 15] Cos[Rational[5, 2] $CellContext`\[Tau]] + 
    Complex[0, 8] Cos[3 $CellContext`\[Tau]] + 
    Complex[0, 19] Cos[Rational[7, 2] $CellContext`\[Tau]] + 
    Complex[0, 4] Cos[4 $CellContext`\[Tau]] + 
    Complex[0, 1] Cos[Rational[9, 2] $CellContext`\[Tau]] + 
    2 Sin[Rational[1, 2] $CellContext`\[Tau]] + 2 Sin[$CellContext`\[Tau]] + 
    2 Sin[Rational[3, 2] $CellContext`\[Tau]] + 9 Sin[2 $CellContext`\[Tau]] + 
    8 Sin[Rational[5, 2] $CellContext`\[Tau]] + 12 Sin[3 $CellContext`\[Tau]] + 
    16 Sin[Rational[7, 2] $CellContext`\[Tau]] + 
    6 Sin[4 $CellContext`\[Tau]])],
  Editable->False]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.887879603252684*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"810d89a2-6e5f-4a60-af29-27379c380a5e"],

Cell[BoxData[
 GraphicsBox[{{{}, {}, 
    TagBox[
     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJwUV3c8le8blr3iHOccqzIbIvmGkvDcTypJpVBGZEUkFbKSVAiphBANJCSp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       "]]},
     Annotation[#, "Charting`Private`Tag$14382#1"]& ], 
    TagBox[
     {RGBColor[0.880722, 0.611041, 0.142051], AbsoluteThickness[1.6], Opacity[
      1.], LineBox[CompressedData["
1:eJxTTMoPSmViYGAwAWIQzbyf69xj00Y7BjD4YB+UI3lrxqT19jD+xE8xm6dN
2g/nWx/14nIqvgDnF1T5JW4uuAHn5+5I7WNSfgDnX3nhybk86Qmc36X/jWFb
5As4v1D7xNQDS9/A+b+Ss9fdzfsA5yftDQuYkPYJzk/+eOXAgY4vcH6Pwfb8
ZW3f4HymA9vNW6p+wPmCWt7n7s/4Bed7zHda/GHSHzhf/P0Zt/rt/+D8Wcd3
MTJnMjjA+Dayjv8VUhjhfO0HAk9qS5jg/LUrhDK2FjHD+TX3Yi9rt7HA+YU2
Ft7zprDC+b/muyS9nsAG518omJVQvogdzrd0V/p3dyEHnH/S1XKFwxxOOH/p
xpmWj1ZzwfmiyjpZcSu54fxLjBxNknt44PytHMXLLpzkhfN1RAWyko7ywfnv
+76JGF/jh/OV29v187ME4PxHUbdvOT1H8D2eXv65NU8Qzq8oSs0Qe4vg+22b
7SVWJgTnv/uTVcP8DcFfeL1xS16xMCI8MmwTKn8j+LJ/J0YXVonA+c/cu09x
sIjC+YfVztjLdSP4WRzLWBQ5xeD87QtUbA9PRPDPWdscDRIUh/N/ZM0OTuhD
8E8EzA/lFZOA85MsbZYvn4Lge+0qqgy8jeAbWq/0/q0oCecDAKiD9UY=
       "]]},
     Annotation[#, "Charting`Private`Tag$14382#2"]& ]}, {}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{
    FormBox["\"time \[Tau]\"", TraditionalForm], 
    FormBox[
    "\"Normalized Bell Correlator  \\!\\(\\*SuperscriptBox[\\(2\\), \
\\(L\\)]\\)\[CapitalEpsilon](\[Tau]) | L = 10 r = 4\"", TraditionalForm]},
  AxesOrigin->{0, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}, {Automatic, 
     Charting`ScaledFrameTicks[{Identity, Identity}]}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  ImagePadding->All,
  Method->{
   "DefaultBoundaryStyle" -> Automatic, 
    "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->
   NCache[{{0, 2 Pi}, {0., 1.6594657526522272`}}, {{0, 6.283185307179586}, {
     0., 1.6594657526522272`}}],
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Print",
 CellChangeTimes->{
  3.88787605297192*^9, {3.887876086678011*^9, 3.887876101117405*^9}, 
   3.887876302984541*^9, 3.8878763564835987`*^9, 3.887876432845742*^9, 
   3.887876486944934*^9, 3.8878765228713493`*^9, {3.8878766034996977`*^9, 
   3.887876701606689*^9}, 3.887876792252232*^9, {3.887876862900153*^9, 
   3.887876892819797*^9}, {3.8878769512802143`*^9, 3.887876957870161*^9}, 
   3.887877105941203*^9, 3.8878772119284153`*^9, 3.887877413555241*^9, 
   3.887877549736006*^9, 3.887877674724492*^9, 3.887877741097035*^9, {
   3.8878787169477167`*^9, 3.887878746278522*^9}, 3.887878797861391*^9, 
   3.887878835381641*^9, {3.887878972230589*^9, 3.887878997665687*^9}, 
   3.8878797037204103`*^9},
 CellLabel->
  "During evaluation of \
In[17]:=",ExpressionUUID->"ca5f5a59-b9a6-4006-a781-54f379c5a059"]
}, Open  ]]
}, Open  ]]
},
WindowSize->{1600, 796},
WindowMargins->{{0, Automatic}, {0, Automatic}},
FrontEndVersion->"12.0 for Linux x86 (64-bit) (April 8, 2019)",
StyleDefinitions->"Default.nb"
]
(* End of Notebook Content *)

(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[558, 20, 8769, 250, 728, "Input",ExpressionUUID->"dbde90bb-db5a-4c37-8d13-725ca549ab40"],
Cell[CellGroupData[{
Cell[9352, 274, 5628, 141, 558, "Input",ExpressionUUID->"acd7a430-d824-4058-90fc-45596bf34331"],
Cell[CellGroupData[{
Cell[15005, 419, 916, 15, 25, "Print",ExpressionUUID->"a3720106-ed38-4d55-b928-ebf6bebec3a9"],
Cell[15924, 436, 987, 17, 27, "Print",ExpressionUUID->"debb102a-9422-4354-ba9a-8a9d4642ee78"],
Cell[16914, 455, 1321, 28, 61, "Print",ExpressionUUID->"88615c2f-741d-42af-8e45-d450b06cad9e"],
Cell[18238, 485, 26600, 459, 172, "Print",ExpressionUUID->"457b1311-d72a-4ae4-85f3-a18cabdbc3be"],
Cell[44841, 946, 919, 15, 25, "Print",ExpressionUUID->"9c899562-0421-4e69-8edc-6edfb5be488f"],
Cell[45763, 963, 987, 17, 27, "Print",ExpressionUUID->"3b454c03-56c8-42d6-932c-e301d21d2c75"],
Cell[46753, 982, 3291, 82, 64, "Print",ExpressionUUID->"2c0073eb-5f40-47ea-a09f-608cf499aad8"],
Cell[50047, 1066, 27999, 482, 172, "Print",ExpressionUUID->"90412c87-9b07-402a-94fa-a024a62b50ef"],
Cell[78049, 1550, 917, 15, 25, "Print",ExpressionUUID->"619c683d-af54-4849-a09c-f61c236d4602"],
Cell[78969, 1567, 987, 17, 27, "Print",ExpressionUUID->"d13a286d-8244-4edb-9805-c36a07920a74"],
Cell[79959, 1586, 3845, 92, 86, "Print",ExpressionUUID->"964647b7-5265-44ae-b1bf-9649ec210b60"],
Cell[83807, 1680, 27145, 468, 172, "Print",ExpressionUUID->"cabd058b-3b89-4f7f-a81c-6800940ffe00"],
Cell[110955, 2150, 915, 15, 25, "Print",ExpressionUUID->"89db8a4d-f509-4d4f-b84c-7e117efe56de"],
Cell[111873, 2167, 987, 17, 27, "Print",ExpressionUUID->"c8d5e87d-06e2-4495-a61a-2235a28852f6"],
Cell[112863, 2186, 4687, 110, 104, "Print",ExpressionUUID->"0a0a2ca0-aa26-4eec-8e53-615151975d6a"],
Cell[117553, 2298, 24570, 427, 172, "Print",ExpressionUUID->"8a20bbb0-1afe-410a-9777-77341a95e978"],
Cell[142126, 2727, 919, 15, 25, "Print",ExpressionUUID->"cd046ab6-0e74-46d0-b3fc-012cf65ac3ab"],
Cell[143048, 2744, 987, 17, 27, "Print",ExpressionUUID->"ad659f3c-b941-4ab6-adc6-cc5ecdb35c55"],
Cell[144038, 2763, 1363, 29, 61, "Print",ExpressionUUID->"c57bb544-8c06-4aaf-bd0d-547a71180dcd"],
Cell[145404, 2794, 26926, 464, 171, "Print",ExpressionUUID->"2fbfb8f3-e6c1-4775-baa2-3136f6fc282b"],
Cell[172333, 3260, 919, 15, 25, "Print",ExpressionUUID->"7e58f871-3d7a-4de0-883f-c4a10a512af2"],
Cell[173255, 3277, 987, 17, 27, "Print",ExpressionUUID->"98f78f2f-873f-4ef4-901a-89a5b60936db"],
Cell[174245, 3296, 3992, 99, 86, "Print",ExpressionUUID->"5d6ae504-67eb-4162-bf6c-36bfffd05114"],
Cell[178240, 3397, 25860, 446, 171, "Print",ExpressionUUID->"24c87f2a-cc48-45ea-8d03-9638bb383304"],
Cell[204103, 3845, 917, 15, 25, "Print",ExpressionUUID->"78958db3-864e-49e7-91fa-83452785a1fe"],
Cell[205023, 3862, 989, 17, 27, "Print",ExpressionUUID->"9a437a78-2947-4034-abd3-14f96add048e"],
Cell[206015, 3881, 5100, 119, 104, "Print",ExpressionUUID->"4bcfc78f-2541-418b-ae85-2c9679c64cd6"],
Cell[211118, 4002, 27701, 477, 171, "Print",ExpressionUUID->"c7a1362b-b049-480a-9c01-b660f2b17927"],
Cell[238822, 4481, 917, 15, 25, "Print",ExpressionUUID->"5915999d-91d8-44c5-9d71-e03b4eb4d884"],
Cell[239742, 4498, 989, 17, 27, "Print",ExpressionUUID->"d1f08c76-f1f1-4872-9ef8-e2e27e1e82ab"],
Cell[240734, 4517, 6211, 150, 126, "Print",ExpressionUUID->"810d89a2-6e5f-4a60-af29-27379c380a5e"],
Cell[246948, 4669, 30837, 529, 171, "Print",ExpressionUUID->"ca5f5a59-b9a6-4006-a781-54f379c5a059"]
}, Open  ]]
}, Open  ]]
}
]
*)