OO/𖣠⚪𔗢⚪∣❁∣⚪𔗢⚪𖣠⚪𔗢⚪ᙁ⚪𔗢⚪𖣠⚪𔗢⚪ᑐᑕ⚪𔗢⚪.../⚪ᕤᕦ⚪ИN⚪ꖴ⚪✤⚪ᑎ⚪ߦ⚪ᙏ⚪Ⓞ⚪ᑐᑕ⚪◌⚪◌⚪◌.../⚪ᗱᗴ⚪ᴥ⚪ᗩ⚪ᗯ⚪✤⚪ꗳ⚪Ⓞ⚪ᔓᔕ⚪◌⚪◌⚪◌⚪◌⚪.../⚪ᙏ⚪ᗩ⚪ᴥ⚪ꗳ⚪ᙁ⚪Ⓞ⚪ᗯ⚪◌⚪◌⚪◌⚪◌⚪◌⚪◌⚪.../⚪ᗩ⚪ᑐᑕ⚪ꖴ⚪✤⚪ᗩ⚪ᙏ⚪ᗱᗴ⚪옷⚪✤⚪ᗩ⚪ᙏ⚪◌⚪.../⚪ИN⚪Ⓞ⚪ꖴ⚪✤⚪ᑐᑕ⚪ИN⚪ᑎ⚪ꗳ⚪◯⚪ᔓᔕ⚪ᑎ⚪.../BИ....⚪✤⚪Ⓞ⚪ᙁ⚪ߦ⚪◯⚪ᔓᔕ⚪ᴥ⚪ᗱᗴ⚪ИN...

4997 lines
214 KiB
Mathematica

(* Content-type: application/vnd.wolfram.mathematica *)
(*** Wolfram Notebook File ***)
(* http://www.wolfram.com/nb *)
(* CreatedBy='Mathematica 13.3' *)
(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 158, 7]
NotebookDataLength[ 219103, 4988]
NotebookOptionsPosition[ 217485, 4951]
NotebookOutlinePosition[ 217997, 4970]
CellTagsIndexPosition[ 217954, 4967]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
Notebook[{
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{
RowBox[{"ariasD", "[", "0", "]"}], " ", "=", " ", "1"}], ";"}], "\n",
RowBox[{
RowBox[{
RowBox[{"ariasD", "[",
RowBox[{"n_Integer", "?", "Positive"}], "]"}], " ", ":=", " ",
RowBox[{
RowBox[{"ariasD", "[", "n", "]"}], " ", "=", " ",
RowBox[{
RowBox[{"Sum", "[",
RowBox[{
RowBox[{
RowBox[{"2", "^",
RowBox[{"(",
RowBox[{
RowBox[{"(",
RowBox[{
RowBox[{"k", " ",
RowBox[{"(",
RowBox[{"k", " ", "-", " ", "1"}], ")"}]}], " ", "-", " ",
RowBox[{"n", " ",
RowBox[{"(",
RowBox[{"n", " ", "-", " ", "1"}], ")"}]}]}], ")"}], "/",
"2"}], ")"}]}], " ",
RowBox[{
RowBox[{"ariasD", "[", "k", "]"}], "/",
RowBox[{
RowBox[{"(",
RowBox[{"n", " ", "-", " ", "k", " ", "+", " ", "1"}], ")"}],
"!"}]}]}], ",", " ",
RowBox[{"{",
RowBox[{"k", ",", " ", "0", ",", " ",
RowBox[{"n", " ", "-", " ", "1"}]}], "}"}]}], "]"}], "/",
RowBox[{"(",
RowBox[{
RowBox[{"2", "^", "n"}], " ", "-", " ", "1"}], ")"}]}]}]}],
";"}], "\n",
RowBox[{
RowBox[{
RowBox[{"iFabiusF", "[", "x_", "]"}], ":=",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"prec", "=",
RowBox[{"Precision", "[", "x", "]"}]}], ",", "n", ",", "p", ",", "q",
",", "s", ",", "tol", ",", "w", ",", "y", ",", "z"}], "}"}], ",",
RowBox[{
RowBox[{"If", "[",
RowBox[{
RowBox[{"x", "<", "0"}], ",",
RowBox[{"Return", "[",
RowBox[{"0", ",", "Module"}], "]"}]}], "]"}], ";",
RowBox[{"tol", "=",
RowBox[{"10", "^",
RowBox[{"(",
RowBox[{"-", "prec"}], ")"}]}]}], ";", "\n",
RowBox[{"z", "=",
RowBox[{"SetPrecision", "[",
RowBox[{"x", ",", "Infinity"}], "]"}]}], ";",
RowBox[{"s", "=", "1"}], ";",
RowBox[{"y", "=", "0"}], ";", "\n",
RowBox[{"z", "=",
RowBox[{"If", "[",
RowBox[{
RowBox[{"0", "\[LessEqual]", "z", "\[LessEqual]", "2"}], ",",
RowBox[{"1", "-",
RowBox[{"Abs", "[",
RowBox[{"1", "-", "z"}], "]"}]}], ",",
RowBox[{
RowBox[{"q", "=",
RowBox[{"Quotient", "[",
RowBox[{"z", ",", "2"}], "]"}]}], ";", "\n",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"ThueMorse", "[", "q", "]"}], "==", "1"}], ",",
RowBox[{"s", "=",
RowBox[{"-", "1"}]}]}], "]"}], ";", "\n",
RowBox[{"1", "-",
RowBox[{"Abs", "[",
RowBox[{"1", "-", "z", "+",
RowBox[{"2", " ", "q"}]}], "]"}]}]}]}], "]"}]}], ";", "\n",
RowBox[{"While", "[",
RowBox[{
RowBox[{"z", ">", "0"}], ",",
RowBox[{
RowBox[{"n", "=",
RowBox[{"-",
RowBox[{"Floor", "[",
RowBox[{"RealExponent", "[",
RowBox[{"z", ",", "2"}], "]"}], "]"}]}]}], ";",
RowBox[{"p", "=",
RowBox[{"2", "^", "n"}]}], ";", "\n",
RowBox[{"z", "-=",
RowBox[{"1", "/", "p"}]}], ";",
RowBox[{"w", "=", "1"}], ";", "\n",
RowBox[{"Do", "[",
RowBox[{
RowBox[{
RowBox[{"w", "=",
RowBox[{
RowBox[{"ariasD", "[", "m", "]"}], "+",
RowBox[{"p", " ", "z", " ",
RowBox[{"w", "/",
RowBox[{"(",
RowBox[{"n", "-", "m", "+", "1"}], ")"}]}]}]}]}], ";",
RowBox[{"p", "/=", "2"}]}], ",",
RowBox[{"{",
RowBox[{"m", ",", "n"}], "}"}]}], "]"}], ";", "\n",
RowBox[{"y", "=",
RowBox[{"w", "-", "y"}]}], ";", "\n",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Abs", "[", "w", "]"}], "<",
RowBox[{
RowBox[{"Abs", "[", "y", "]"}], " ", "tol"}]}], ",",
RowBox[{"Break", "[", "]"}]}], "]"}]}]}], "]"}], ";", "\n",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"s", " ",
RowBox[{"Abs", "[", "y", "]"}]}], ",", "prec"}], "]"}]}]}], "]"}]}],
";"}], "\n",
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[", "Infinity", "]"}], " ", "=", " ",
RowBox[{"Interval", "[",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", " ", "1"}], "}"}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[",
RowBox[{"x_", "?", "NumberQ"}], "]"}], " ", "/;", " ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Im", "[", "x", "]"}], " ", "==", " ", "0"}], ",", " ",
RowBox[{"TrueQ", "[",
RowBox[{
RowBox[{
RowBox[{"Composition", "[",
RowBox[{
RowBox[{
RowBox[{"BitAnd", "[",
RowBox[{"#", ",", " ",
RowBox[{"#", " ", "-", " ", "1"}]}], "]"}], " ", "&"}], ",",
" ", "Denominator"}], "]"}], "[", "x", "]"}], " ", "==", " ",
"0"}], "]"}], ",", " ", "False"}], "]"}]}], " ", ":=", " ",
RowBox[{"iFabiusF", "[", "x", "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"Derivative", "[", "n_Integer", "]"}], "[", "FabiusF", "]"}], " ",
":=", " ",
RowBox[{
RowBox[{
RowBox[{"2", "^",
RowBox[{"(",
RowBox[{"n", " ",
RowBox[{
RowBox[{"(",
RowBox[{"n", " ", "+", " ", "1"}], ")"}], "/", "2"}]}], ")"}]}],
" ",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"2", "^", "n"}], " ", "#"}], "]"}]}], " ", "&"}]}],
";"}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"SetAttributes", "[",
RowBox[{"FabiusF", ",", " ",
RowBox[{"{",
RowBox[{"NumericFunction", ",", " ", "Listable"}], "}"}]}], "]"}],
";"}], "//", "Timing"}], "//", "AbsoluteTiming"}]}], "Input",
CellFrame->0,
CellDingbat->None,
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[1]:=",ExpressionUUID->"a68001d4-5f1e-4b83-8af8-5ffeaf0911a7"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"0.0000134747735395872`", ",",
RowBox[{"{",
RowBox[{"0.`", ",", "Null"}], "}"}]}], "}"}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"Out[7]=",ExpressionUUID->"0b7edb27-738f-47cc-b97d-2890713f18eb"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{"ClearAll", "[",
RowBox[{"iCurvaturePlotHelper", ",", " ", "CurvaturePlot"}], "]"}], "\n",
RowBox[{
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{
RowBox[{"f_", "?",
RowBox[{"(",
RowBox[{
RowBox[{
RowBox[{"Head", "[", "#", "]"}], " ", "=!=", " ", "List"}], " ",
"&"}], ")"}]}], ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"x0_", ",", " ", "y0_"}], "}"}], ",", " ", "\[Theta]0_"}],
"}"}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"sol", ",", " ", "\[Theta]", ",", " ", "x", ",", " ", "y", ",", " ",
"if"}], "}"}], ",", "\n", " ",
RowBox[{
RowBox[{"sol", " ", "=", " ",
RowBox[{"NDSolve", "[",
RowBox[{
RowBox[{"{", "\n", " ",
RowBox[{
RowBox[{
RowBox[{
RowBox[{"\[Theta]", "'"}], "[", "t", "]"}], " ", "==", " ", "f"}],
",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"x", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Cos", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{
RowBox[{"y", "'"}], "[", "t", "]"}], " ", "==", " ",
RowBox[{"Sin", "[",
RowBox[{"\[Theta]", "[", "t", "]"}], "]"}]}], ",", "\n", " ",
RowBox[{
RowBox[{"\[Theta]", "[", "tmin", "]"}], " ", "==", " ",
"\[Theta]0"}], ",", "\n", " ",
RowBox[{
RowBox[{"x", "[", "tmin", "]"}], " ", "==", " ", "x0"}], ",", "\n",
" ",
RowBox[{
RowBox[{"y", "[", "tmin", "]"}], " ", "==", " ", "y0"}]}], "\n",
" ", "}"}], ",", " ",
RowBox[{"{",
RowBox[{"x", ",", " ", "y"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",", " ",
"opts"}], "]"}]}], ";", "\n", " ",
RowBox[{"if", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"x", "[", "#", "]"}], ",", " ",
RowBox[{"y", "[", "#", "]"}]}], "}"}], " ", "&"}], " ", "/.", " ",
RowBox[{"First", "[", "sol", "]"}]}]}], ";", "\n", " ", "if"}]}],
"]"}]}], "\n",
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{"f_", ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"CurvaturePlot", "[",
RowBox[{"f", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"0", ",", " ", "0"}], "}"}], ",", " ", "0"}], "}"}], ",", " ",
"opts"}], "]"}]}], "\n",
RowBox[{
RowBox[{
RowBox[{
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{"f_", ",", " ",
RowBox[{"{",
RowBox[{"t_", ",", " ", "tmin_", ",", " ", "tmax_"}], "}"}], ",", " ",
RowBox[{"p", " ", ":", " ",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"x0_", ",", " ", "y0_"}], "}"}], ",", " ", "\[Theta]0_"}],
"}"}]}], ",", " ",
RowBox[{"opts", " ", ":", " ",
RowBox[{"OptionsPattern", "[", "]"}]}]}], "]"}], " ", ":=", " ",
RowBox[{"Module", "[",
RowBox[{
RowBox[{"{",
RowBox[{
"\[Theta]", ",", " ", "x", ",", " ", "y", ",", " ", "sol", ",", " ",
"rlsplot", ",", " ", "rlsndsolve", ",", " ", "if", ",", " ", "ifs"}],
"}"}], ",", "\n", " ",
RowBox[{
RowBox[{"rlsplot", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "ParametricPlot", "]"}]}], "]"}]}], ";",
RowBox[{"rlsndsolve", " ", "=", " ",
RowBox[{"FilterRules", "[",
RowBox[{
RowBox[{"{", "opts", "}"}], ",", " ",
RowBox[{"Options", "[", "NDSolve", "]"}]}], "]"}]}], ";", "\n",
" ",
RowBox[{"If", "[",
RowBox[{
RowBox[{
RowBox[{"Head", "[", "f", "]"}], " ", "===", " ", "List"}], ",",
"\n", " ",
RowBox[{
RowBox[{"ifs", " ", "=", " ",
RowBox[{
RowBox[{
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"#", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}],
",", " ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}],
")"}]}]}], "]"}], " ", "&"}], " ", "/@", " ", "f"}]}], ";",
"\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{
RowBox[{"#", "[", "tplot", "]"}], " ", "&"}], " ", "/@", " ",
"ifs"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}],
",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}], "\n", " ", ",", "\n", " ",
RowBox[{
RowBox[{"if", " ", "=", " ",
RowBox[{"iCurvaturePlotHelper", "[",
RowBox[{"f", ",", " ",
RowBox[{"{",
RowBox[{"t", ",", " ", "tmin", ",", " ", "tmax"}], "}"}], ",",
" ", "p", ",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsndsolve"}], ")"}]}]}],
"]"}]}], ";", "\n", " ",
RowBox[{"ParametricPlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"if", "[", "tplot", "]"}], "]"}], ",", " ",
RowBox[{"{",
RowBox[{"tplot", ",", " ", "tmin", ",", " ", "tmax"}], "}"}],
",", " ",
RowBox[{"Evaluate", "@",
RowBox[{"(",
RowBox[{"Sequence", " ", "@@", " ", "rlsplot"}], ")"}]}]}],
"]"}]}]}], "\n", " ", "]"}]}]}], "]"}]}], ";"}], "//",
"Timing"}], "//", "AbsoluteTiming"}]}], "Input",
CellFrame->0,
CellDingbat->None,
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[8]:=",ExpressionUUID->"1cb68996-1682-47b9-a616-08af5811bee5"],
Cell[BoxData[
RowBox[{"{",
RowBox[{"0.00006829260225745332`", ",",
RowBox[{"{",
RowBox[{"0.`", ",", "Null"}], "}"}]}], "}"}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"Out[11]=",ExpressionUUID->"3c8a9570-af49-4a23-b6e7-1104618aa60d"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{
"\:26aa\:1513\:1515\:26aa\:144e\:26aa\:a5b4\:26aa8\:26aa\:15e9\:26aa\:a5f3\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\
\:a5f3\:26aa\:15e9\:26aa8\:26aa\:a5b4\:26aa\:144e\:26aa\:1513\:1515\:26aa",
" ", "=", " ",
RowBox[{"Abs", "[",
RowBox[{"FabiusF", "[",
RowBox[{
RowBox[{"X", "/", "\[Pi]"}], "*", "2"}], "]"}], "]"}]}], ";"}], "\n",
RowBox[{"GraphicsGrid", "[", "\n",
RowBox[{
RowBox[{"{", "\n",
RowBox[{"{", "\[IndentingNewLine]",
RowBox[{
RowBox[{"Plot", "[",
RowBox[{
"\:26aa\:1513\:1515\:26aa\:144e\:26aa\:a5b4\:26aa8\:26aa\:15e9\:26aa\
\:a5f3\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\
\:26aa\:a5f3\:26aa\:15e9\:26aa8\:26aa\:a5b4\:26aa\:144e\:26aa\:1513\:1515\
\:26aa", ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",",
RowBox[{"4", "\[Pi]"}]}], "}"}], ",",
RowBox[{"Axes", "\[Rule]", "True"}], ",",
RowBox[{"AspectRatio", "\[Rule]",
RowBox[{".5", "/", "\[Pi]"}]}], ",",
RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameTicks", "\[Rule]",
RowBox[{"{",
RowBox[{"Automatic", ",",
RowBox[{"{", "1", "}"}]}], "}"}]}], ",",
RowBox[{"ImageSize", "\[Rule]", "Full"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"CurvaturePlot", "[",
RowBox[{
"\:26aa\:1513\:1515\:26aa\:144e\:26aa\:a5b4\:26aa8\:26aa\:15e9\:26aa\
\:a5f3\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\
\:26aa\:a5f3\:26aa\:15e9\:26aa8\:26aa\:a5b4\:26aa\:144e\:26aa\:1513\:1515\
\:26aa", ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",",
RowBox[{"4", " ", "\[Pi]"}]}], "}"}], ",", " ",
RowBox[{"Axes", " ", "\[Rule]", " ",
RowBox[{"{",
RowBox[{"False", ",", "True"}], "}"}]}], ",",
RowBox[{"ImageSize", "\[Rule]", "Full"}]}], "]"}], ",",
"\[IndentingNewLine]",
RowBox[{"Plot", "[",
RowBox[{
"\:26aa\:1513\:1515\:26aa\:144e\:26aa\:a5b4\:26aa8\:26aa\:15e9\:26aa\
\:a5f3\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\
\:26aa\:a5f3\:26aa\:15e9\:26aa8\:26aa\:a5b4\:26aa\:144e\:26aa\:1513\:1515\
\:26aa", ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",",
RowBox[{"4", " ", "\[Pi]"}]}], "}"}], ",",
RowBox[{"Axes", "\[Rule]", "True"}], ",",
RowBox[{"AspectRatio", "\[Rule]",
RowBox[{".5", "/", "\[Pi]"}]}], ",",
RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameTicks", "\[Rule]",
RowBox[{"{",
RowBox[{"Automatic", ",",
RowBox[{"{", "1", "}"}]}], "}"}]}], ",",
RowBox[{"ImageSize", "\[Rule]", "Full"}]}], "]"}]}],
"\[IndentingNewLine]", "}"}], "\n", "}"}], ",", "\n",
RowBox[{"ImageSize", "\[Rule]", "Full"}]}], "\n", "]"}]}], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"In[12]:=",ExpressionUUID->"a8c1fd5e-14b8-4edc-b2f7-b94c06f766bc"],
Cell[BoxData[
GraphicsBox[{{}, {InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwsm3k8VP/3x2VfUsyIGctYWpSikizFnENSSioVyhJCkWwVJVqFJNlSlEj2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"]]},
Annotation[#, "Charting`Private`Tag$4124#1"]& ]}, {}},
AspectRatio->0.15915494309189535`,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{True, True}, {True, True}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{{{1,
FormBox["1", TraditionalForm]}}, {{1,
FormBox["1", TraditionalForm]}}}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->{{9., 9.999999999999886}, {17., 0.4999999999999858}},
ImageSize->Full,
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, 4 Pi}, {0., 1.}}, {{0, 12.566370614359172`}, {0., 1.}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {542.3375, -538.65},
ImageScaled[{0.5, 0.5}], {1009, 175}], InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], FaceForm[Opacity[0.3]], LineBox[CompressedData["
1:eJxc2Hc8le//OPBjr6OQUSkpIylSGZWc11VGgyKjISMKaahEiwZZhWRFqIyM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"]]},
Annotation[#, "Charting`Private`Tag$7069#1"]& ]}, {}},
Axes->{False, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->{{5.684341886080802*^-14, 1.}, {17., 0.4999999999999858}},
ImageSize->Full,
Method->{
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}},
"ScalingFunctions" -> None},
PlotRange->{{-1.816186218308099,
1.8161860232013565`}, {-2.8903726899393063`*^-7, 3.6323723004889765`}},
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {1627.0124999999998, -538.65},
ImageScaled[{0.5, 0.5}], {1009, 1026}], InsetBox[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6],
Opacity[1.], LineBox[CompressedData["
1:eJwsm3k8VP/3x2VfUsyIGctYWpSikizFnENSSioVyhJCkWwVJVqFJNlSlEj2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"]]},
Annotation[#, "Charting`Private`Tag$7106#1"]& ]}, {}},
AspectRatio->0.15915494309189535`,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->{{True, True}, {True, True}},
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{{{1,
FormBox["1", TraditionalForm]}}, {{1,
FormBox["1", TraditionalForm]}}}, {Automatic, Automatic}},
GridLines->{None, None},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->{{9., 9.999999999999886}, {17., 0.4999999999999858}},
ImageSize->Full,
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, 4 Pi}, {0., 1.}}, {{0, 12.566370614359172`}, {0., 1.}}],
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.02],
Scaled[0.02]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}], {2711.6875, -538.65},
ImageScaled[{0.5, 0.5}], {1009, 175}]}, {}},
ImageSize->Full,
PlotRangePadding->{6, 5}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->"Out[13]=",ExpressionUUID->"186c789a-1b1e-47b4-8922-e1abcf1fcbeb"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[
RowBox[{"Plot3D", "[",
RowBox[{
RowBox[{
RowBox[{"FabiusF", "[",
RowBox[{"1", "-", "x"}], "]"}], "*",
RowBox[{"FabiusF", "[",
RowBox[{"1", "-", "y"}], "]"}]}], ",",
RowBox[{"{",
RowBox[{"x", ",",
RowBox[{"-", "1"}], ",", "1"}], "}"}], ",",
RowBox[{"{",
RowBox[{"y", ",",
RowBox[{"-", "1"}], ",", "1"}], "}"}], ",",
RowBox[{"ColorFunction", "\[Rule]",
RowBox[{"Function", "[",
RowBox[{
RowBox[{"{",
RowBox[{"x", ",", "y", ",", "z"}], "}"}], ",",
RowBox[{"Glow", "[",
RowBox[{"GrayLevel", "[", "z", "]"}], "]"}]}], "]"}]}], ",",
RowBox[{"PlotRange", "\[Rule]", "All"}], ",",
RowBox[{"Mesh", "\[Rule]", "None"}], ",",
RowBox[{"AspectRatio", "\[Rule]", "1"}], ",",
RowBox[{"Lighting", "\[Rule]", "None"}], ",",
RowBox[{"ViewPoint", "\[Rule]",
RowBox[{"{",
RowBox[{"0", ",", "0", ",", "Infinity"}], "}"}]}], ",",
RowBox[{"ImageSize", "\[Rule]", "Large"}], ",",
RowBox[{"Boxed", "\[Rule]", "False"}], ",",
RowBox[{"Axes", "->", "False"}], ",",
RowBox[{"PlotPoints", "\[Rule]", "17"}], ",",
RowBox[{"BoundaryStyle", "\[Rule]", "None"}]}], "]"}]], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[416]:=",ExpressionUUID->"b888318d-5448-4ae1-bf58-74f5395d1c0e"],
Cell[BoxData[
Graphics3DBox[{GraphicsComplex3DBox[CompressedData["
1:eJx1mwuYznXax4fC5BAmljLlsNg1VN5dYq3tb5KXUA6zDutQjBVhMXjFJqeG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"], {
{RGBColor[0.880722, 0.611041, 0.142051], EdgeForm[None], Specularity[
GrayLevel[1], 3],
StyleBox[GraphicsGroup3DBox[
TagBox[Polygon3DBox[CompressedData["
1:eJxVm3f8FsW1h3f3RVHECoKgMaCiAoJYQESliAhYgx0rorELdsUKxN7F3gEr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"]],
Annotation[#, "Charting`Private`Tag$1055548#1"]& ]],
Lighting->None]}, {}, {}, {}, {}},
VertexColors->{
Glow[
GrayLevel[3.492084540726213*^-210]],
Glow[
GrayLevel[2.950484376878047*^-104]],
Glow[
GrayLevel[5.900950903366014*^-103]],
Glow[
GrayLevel[2.1538454075479014`*^-102]],
Glow[
GrayLevel[4.2486799768745615`*^-102]],
Glow[
GrayLevel[6.343514398677717*^-102]],
Glow[
GrayLevel[7.90726380124306*^-102]],
Glow[
GrayLevel[8.467853133164656*^-102]],
Glow[
GrayLevel[8.497357829409663*^-102]],
Glow[
GrayLevel[8.467853133164656*^-102]],
Glow[
GrayLevel[7.907263801243057*^-102]],
Glow[
GrayLevel[6.343514398677714*^-102]],
Glow[
GrayLevel[4.248679976874559*^-102]],
Glow[
GrayLevel[2.1538454075478954`*^-102]],
Glow[
GrayLevel[5.900950903365986*^-103]],
Glow[
GrayLevel[2.950484376878008*^-104]],
Glow[
GrayLevel[1.746042247700329*^-210]],
Glow[
GrayLevel[2.950484376878047*^-104]],
Glow[
GrayLevel[0.00001205643265375356]],
Glow[
GrayLevel[0.00024112792366254648`]],
Glow[
GrayLevel[0.0008801162380725593]],
Glow[
GrayLevel[0.0017361191406388738`]],
Glow[
GrayLevel[0.002592121982923317]],
Glow[
GrayLevel[0.0032311099235856336`]],
Glow[
GrayLevel[0.003460181040846621]],
Glow[
GrayLevel[0.0034722374132183935`]],
Glow[
GrayLevel[0.003460181040846621]],
Glow[
GrayLevel[0.0032311099235856327`]],
Glow[
GrayLevel[0.002592121982923316]],
Glow[
GrayLevel[0.001736119140638873]],
Glow[
GrayLevel[0.000880116238072557]],
Glow[
GrayLevel[0.00024112792366254534`]],
Glow[
GrayLevel[0.000012056432653753401`]],
Glow[
GrayLevel[2.9504843055303003`*^-104]],
Glow[
GrayLevel[5.900950903366014*^-103]],
Glow[
GrayLevel[0.00024112792366254648`]],
Glow[
GrayLevel[0.004822543885044565]],
Glow[
GrayLevel[0.017602271514539292`]],
Glow[
GrayLevel[0.03472227777780719]],
Glow[
GrayLevel[0.0518422828354413]],
Glow[
GrayLevel[0.06462200299000471]],
Glow[
GrayLevel[0.06920341147645323]],
Glow[
GrayLevel[0.06944453819447981]],
Glow[
GrayLevel[0.06920341147645323]],
Glow[
GrayLevel[0.0646220029900047]],
Glow[
GrayLevel[0.051842282835441275`]],
Glow[
GrayLevel[0.03472227777780717]],
Glow[
GrayLevel[0.017602271514539247`]],
Glow[
GrayLevel[0.0048225438850445414`]],
Glow[
GrayLevel[0.0002411279236625433]],
Glow[
GrayLevel[5.900950760670952*^-103]],
Glow[
GrayLevel[2.1538454075479014`*^-102]],
Glow[
GrayLevel[0.0008801162380725593]],
Glow[
GrayLevel[0.017602271514539292`]],
Glow[
GrayLevel[0.06424824114766936]],
Glow[
GrayLevel[0.12673621549481623`]],
Glow[
GrayLevel[0.1892241854414032]],
Glow[
GrayLevel[0.23587012779105515`]],
Glow[
GrayLevel[0.25259225578403577`]],
Glow[
GrayLevel[0.25347236762154046`]],
Glow[
GrayLevel[0.25259225578403577`]],
Glow[
GrayLevel[0.2358701277910551]],
Glow[
GrayLevel[0.18922418544140313`]],
Glow[
GrayLevel[0.12673621549481617`]],
Glow[
GrayLevel[0.06424824114766918]],
Glow[
GrayLevel[0.01760227151453921]],
Glow[
GrayLevel[0.0008801162380725477]],
Glow[
GrayLevel[2.153845355464244*^-102]],
Glow[
GrayLevel[4.2486799768745615`*^-102]],
Glow[
GrayLevel[0.0017361191406388738`]],
Glow[
GrayLevel[0.03472227777780719]],
Glow[
GrayLevel[0.12673621549481623`]],
Glow[
GrayLevel[0.2500001250000157]],
Glow[
GrayLevel[0.3732640258246616]],
Glow[
GrayLevel[0.4652779097222244]],
Glow[
GrayLevel[0.49826401453993074`]],
Glow[
GrayLevel[0.5000001250000001]],
Glow[
GrayLevel[0.49826401453993074`]],
Glow[
GrayLevel[0.46527790972222427`]],
Glow[
GrayLevel[0.37326402582466145`]],
Glow[
GrayLevel[0.2500001250000156]],
Glow[
GrayLevel[0.1267362154948159]],
Glow[
GrayLevel[0.03472227777780702]],
Glow[
GrayLevel[0.0017361191406388508`]],
Glow[
GrayLevel[4.248679874134229*^-102]],
Glow[
GrayLevel[6.343514398677717*^-102]],
Glow[
GrayLevel[0.002592121982923317]],
Glow[
GrayLevel[0.0518422828354413]],
Glow[
GrayLevel[0.1892241854414032]],
Glow[
GrayLevel[0.3732640258246616]],
Glow[
GrayLevel[0.5573038532473729]],
Glow[
GrayLevel[0.6946856754979223]],
Glow[
GrayLevel[0.7439357559950042]],
Glow[
GrayLevel[0.7465278650173568]],
Glow[
GrayLevel[0.7439357559950042]],
Glow[
GrayLevel[0.694685675497922]],
Glow[
GrayLevel[0.5573038532473726]],
Glow[
GrayLevel[0.37326402582466145`]],
Glow[
GrayLevel[0.1892241854414027]],
Glow[
GrayLevel[0.05184228283544105]],
Glow[
GrayLevel[0.002592121982923283]],
Glow[
GrayLevel[6.343514245280714*^-102]],
Glow[
GrayLevel[7.90726380124306*^-102]],
Glow[
GrayLevel[0.0032311099235856336`]],
Glow[
GrayLevel[0.06462200299000471]],
Glow[
GrayLevel[0.23587012779105515`]],
Glow[
GrayLevel[0.4652779097222244]],
Glow[
GrayLevel[0.6946856754979223]],
Glow[
GrayLevel[0.8659337001350249]],
Glow[
GrayLevel[0.927324493037467]],
Glow[
GrayLevel[0.9305555868055518]],
Glow[
GrayLevel[0.927324493037467]],
Glow[
GrayLevel[0.8659337001350247]],
Glow[
GrayLevel[0.6946856754979219]],
Glow[
GrayLevel[0.46527790972222416`]],
Glow[
GrayLevel[0.2358701277910545]],
Glow[
GrayLevel[0.06462200299000441]],
Glow[
GrayLevel[0.0032311099235855906`]],
Glow[
GrayLevel[7.907263610031927*^-102]],
Glow[
GrayLevel[8.467853133164656*^-102]],
Glow[
GrayLevel[0.003460181040846621]],
Glow[
GrayLevel[0.06920341147645323]],
Glow[
GrayLevel[0.25259225578403577`]],
Glow[
GrayLevel[0.49826401453993074`]],
Glow[
GrayLevel[0.7439357559950042]],
Glow[
GrayLevel[0.927324493037467]],
Glow[
GrayLevel[0.9930676162079225]],
Glow[
GrayLevel[0.9965277799479162]],
Glow[
GrayLevel[0.9930676162079225]],
Glow[
GrayLevel[0.9273244930374668]],
Glow[
GrayLevel[0.7439357559950038]],
Glow[
GrayLevel[0.4982640145399305]],
Glow[
GrayLevel[0.2525922557840351]],
Glow[
GrayLevel[0.0692034114764529]],
Glow[
GrayLevel[0.0034601810408465754`]],
Glow[
GrayLevel[8.467852928397516*^-102]],
Glow[
GrayLevel[8.497357829409663*^-102]],
Glow[
GrayLevel[0.0034722374132183935`]],
Glow[
GrayLevel[0.06944453819447981]],
Glow[
GrayLevel[0.25347236762154046`]],
Glow[
GrayLevel[0.5000001250000001]],
Glow[
GrayLevel[0.7465278650173568]],
Glow[
GrayLevel[0.9305555868055518]],
Glow[
GrayLevel[0.9965277799479162]],
Glow[
GrayLevel[1.]],
Glow[
GrayLevel[0.9965277799479162]],
Glow[
GrayLevel[0.9305555868055516]],
Glow[
GrayLevel[0.7465278650173565]],
Glow[
GrayLevel[0.5000001249999999]],
Glow[
GrayLevel[0.2534723676215398]],
Glow[
GrayLevel[0.06944453819447947]],
Glow[
GrayLevel[0.0034722374132183475`]],
Glow[
GrayLevel[8.49735762392905*^-102]],
Glow[
GrayLevel[8.467853133164656*^-102]],
Glow[
GrayLevel[0.003460181040846621]],
Glow[
GrayLevel[0.06920341147645323]],
Glow[
GrayLevel[0.25259225578403577`]],
Glow[
GrayLevel[0.49826401453993074`]],
Glow[
GrayLevel[0.7439357559950042]],
Glow[
GrayLevel[0.927324493037467]],
Glow[
GrayLevel[0.9930676162079225]],
Glow[
GrayLevel[0.9965277799479162]],
Glow[
GrayLevel[0.9930676162079225]],
Glow[
GrayLevel[0.9273244930374668]],
Glow[
GrayLevel[0.7439357559950038]],
Glow[
GrayLevel[0.4982640145399305]],
Glow[
GrayLevel[0.2525922557840351]],
Glow[
GrayLevel[0.0692034114764529]],
Glow[
GrayLevel[0.0034601810408465754`]],
Glow[
GrayLevel[8.467852928397516*^-102]],
Glow[
GrayLevel[7.907263801243057*^-102]],
Glow[
GrayLevel[0.0032311099235856327`]],
Glow[
GrayLevel[0.0646220029900047]],
Glow[
GrayLevel[0.2358701277910551]],
Glow[
GrayLevel[0.46527790972222427`]],
Glow[
GrayLevel[0.694685675497922]],
Glow[
GrayLevel[0.8659337001350247]],
Glow[
GrayLevel[0.9273244930374668]],
Glow[
GrayLevel[0.9305555868055516]],
Glow[
GrayLevel[0.9273244930374668]],
Glow[
GrayLevel[0.8659337001350245]],
Glow[
GrayLevel[0.6946856754979218]],
Glow[
GrayLevel[0.46527790972222405`]],
Glow[
GrayLevel[0.23587012779105446`]],
Glow[
GrayLevel[0.0646220029900044]],
Glow[
GrayLevel[0.00323110992358559]],
Glow[
GrayLevel[7.907263610031925*^-102]],
Glow[
GrayLevel[6.343514398677714*^-102]],
Glow[
GrayLevel[0.002592121982923316]],
Glow[
GrayLevel[0.051842282835441275`]],
Glow[
GrayLevel[0.18922418544140313`]],
Glow[
GrayLevel[0.37326402582466145`]],
Glow[
GrayLevel[0.5573038532473726]],
Glow[
GrayLevel[0.6946856754979219]],
Glow[
GrayLevel[0.7439357559950038]],
Glow[
GrayLevel[0.7465278650173565]],
Glow[
GrayLevel[0.7439357559950038]],
Glow[
GrayLevel[0.6946856754979218]],
Glow[
GrayLevel[0.5573038532473724]],
Glow[
GrayLevel[0.3732640258246613]],
Glow[
GrayLevel[0.18922418544140263`]],
Glow[
GrayLevel[0.051842282835441025`]],
Glow[
GrayLevel[0.0025921219829232816`]],
Glow[
GrayLevel[6.343514245280711*^-102]],
Glow[
GrayLevel[4.248679976874559*^-102]],
Glow[
GrayLevel[0.001736119140638873]],
Glow[
GrayLevel[0.03472227777780717]],
Glow[
GrayLevel[0.12673621549481617`]],
Glow[
GrayLevel[0.2500001250000156]],
Glow[
GrayLevel[0.37326402582466145`]],
Glow[
GrayLevel[0.46527790972222416`]],
Glow[
GrayLevel[0.4982640145399305]],
Glow[
GrayLevel[0.5000001249999999]],
Glow[
GrayLevel[0.4982640145399305]],
Glow[
GrayLevel[0.46527790972222405`]],
Glow[
GrayLevel[0.3732640258246613]],
Glow[
GrayLevel[0.2500001250000155]],
Glow[
GrayLevel[0.12673621549481584`]],
Glow[
GrayLevel[0.034722277777807]],
Glow[
GrayLevel[0.0017361191406388501`]],
Glow[
GrayLevel[4.248679874134227*^-102]],
Glow[
GrayLevel[2.1538454075478954`*^-102]],
Glow[
GrayLevel[0.000880116238072557]],
Glow[
GrayLevel[0.017602271514539247`]],
Glow[
GrayLevel[0.06424824114766918]],
Glow[
GrayLevel[0.1267362154948159]],
Glow[
GrayLevel[0.1892241854414027]],
Glow[
GrayLevel[0.2358701277910545]],
Glow[
GrayLevel[0.2525922557840351]],
Glow[
GrayLevel[0.2534723676215398]],
Glow[
GrayLevel[0.2525922557840351]],
Glow[
GrayLevel[0.23587012779105446`]],
Glow[
GrayLevel[0.18922418544140263`]],
Glow[
GrayLevel[0.12673621549481584`]],
Glow[
GrayLevel[0.06424824114766901]],
Glow[
GrayLevel[0.017602271514539164`]],
Glow[
GrayLevel[0.0008801162380725454]],
Glow[
GrayLevel[2.153845355464238*^-102]],
Glow[
GrayLevel[5.900950903365986*^-103]],
Glow[
GrayLevel[0.00024112792366254534`]],
Glow[
GrayLevel[0.0048225438850445414`]],
Glow[
GrayLevel[0.01760227151453921]],
Glow[
GrayLevel[0.03472227777780702]],
Glow[
GrayLevel[0.05184228283544105]],
Glow[
GrayLevel[0.06462200299000441]],
Glow[
GrayLevel[0.0692034114764529]],
Glow[
GrayLevel[0.06944453819447947]],
Glow[
GrayLevel[0.0692034114764529]],
Glow[
GrayLevel[0.0646220029900044]],
Glow[
GrayLevel[0.051842282835441025`]],
Glow[
GrayLevel[0.034722277777807]],
Glow[
GrayLevel[0.017602271514539164`]],
Glow[
GrayLevel[0.004822543885044519]],
Glow[
GrayLevel[0.00024112792366254215`]],
Glow[
GrayLevel[5.900950760670923*^-103]],
Glow[
GrayLevel[2.950484376878008*^-104]],
Glow[
GrayLevel[0.000012056432653753401`]],
Glow[
GrayLevel[0.0002411279236625433]],
Glow[
GrayLevel[0.0008801162380725477]],
Glow[
GrayLevel[0.0017361191406388508`]],
Glow[
GrayLevel[0.002592121982923283]],
Glow[
GrayLevel[0.0032311099235855906`]],
Glow[
GrayLevel[0.0034601810408465754`]],
Glow[
GrayLevel[0.0034722374132183475`]],
Glow[
GrayLevel[0.0034601810408465754`]],
Glow[
GrayLevel[0.00323110992358559]],
Glow[
GrayLevel[0.0025921219829232816`]],
Glow[
GrayLevel[0.0017361191406388501`]],
Glow[
GrayLevel[0.0008801162380725454]],
Glow[
GrayLevel[0.00024112792366254215`]],
Glow[
GrayLevel[0.000012056432653753242`]],
Glow[
GrayLevel[2.950484305530261*^-104]],
Glow[
GrayLevel[1.746042247700329*^-210]],
Glow[
GrayLevel[2.9504843055303003`*^-104]],
Glow[
GrayLevel[5.900950760670952*^-103]],
Glow[
GrayLevel[2.153845355464244*^-102]],
Glow[
GrayLevel[4.248679874134229*^-102]],
Glow[
GrayLevel[6.343514245280714*^-102]],
Glow[
GrayLevel[7.907263610031927*^-102]],
Glow[
GrayLevel[8.467852928397516*^-102]],
Glow[
GrayLevel[8.49735762392905*^-102]],
Glow[
GrayLevel[8.467852928397516*^-102]],
Glow[
GrayLevel[7.907263610031925*^-102]],
Glow[
GrayLevel[6.343514245280711*^-102]],
Glow[
GrayLevel[4.248679874134227*^-102]],
Glow[
GrayLevel[2.153845355464238*^-102]],
Glow[
GrayLevel[5.900950760670923*^-103]],
Glow[
GrayLevel[2.950484305530261*^-104]],
Glow[
GrayLevel[0.]],
Glow[
GrayLevel[0.02175643011633272]],
Glow[
GrayLevel[0.05532292159654892]],
Glow[
GrayLevel[0.09217772571314121]],
Glow[
GrayLevel[0.09217772571314119]],
Glow[
GrayLevel[0.05532292159654881]],
Glow[
GrayLevel[0.021756430116332645`]],
Glow[
GrayLevel[0.05532292159654892]],
Glow[
GrayLevel[0.14067683152119073`]],
Glow[
GrayLevel[0.23439236424858312`]],
Glow[
GrayLevel[0.14067683152119048`]],
Glow[
GrayLevel[0.05532292159654873]],
Glow[
GrayLevel[0.09217772571314121]],
Glow[
GrayLevel[0.23439236424858312`]],
Glow[
GrayLevel[0.3905389382455963]],
Glow[
GrayLevel[0.09217772571314091]],
Glow[
GrayLevel[0.09217772571314119]],
Glow[
GrayLevel[0.39053893824559605`]],
Glow[
GrayLevel[0.2343923642485826]],
Glow[
GrayLevel[0.09217772571314088]],
Glow[
GrayLevel[0.05532292159654881]],
Glow[
GrayLevel[0.14067683152119048`]],
Glow[
GrayLevel[0.2343923642485826]],
Glow[
GrayLevel[0.1406768315211902]],
Glow[
GrayLevel[0.05532292159654862]],
Glow[
GrayLevel[0.021756430116332645`]],
Glow[
GrayLevel[0.05532292159654873]],
Glow[
GrayLevel[0.09217772571314091]],
Glow[
GrayLevel[0.09217772571314088]],
Glow[
GrayLevel[0.05532292159654862]],
Glow[
GrayLevel[0.021756430116332572`]],
Glow[
GrayLevel[4.755896081239375*^-9]],
Glow[
GrayLevel[5.860033318692866*^-106]],
Glow[
GrayLevel[0.000043097129904131876`]],
Glow[
GrayLevel[0.014061284353631104`]],
Glow[
GrayLevel[0.00005879093266671621]],
Glow[
GrayLevel[0.019181695474403737`]],
Glow[
GrayLevel[0.00006741130510949792]],
Glow[
GrayLevel[0.021994261146915915`]],
Glow[
GrayLevel[0.0000689582493277065]],
Glow[
GrayLevel[0.022498982054777364`]],
Glow[
GrayLevel[0.0000689582493277065]],
Glow[
GrayLevel[0.022498982054777364`]],
Glow[
GrayLevel[0.0000674113051094979]],
Glow[
GrayLevel[0.021994261146915908`]],
Glow[
GrayLevel[0.00005879093266671618]],
Glow[
GrayLevel[0.01918169547440373]],
Glow[
GrayLevel[4.755896081239269*^-9]],
Glow[
GrayLevel[5.86003317698726*^-106]],
Glow[
GrayLevel[0.0033188424645851744`]],
Glow[
GrayLevel[0.010243111783921904`]],
Glow[
GrayLevel[0.008439254991640692]],
Glow[
GrayLevel[0.026046500602191516`]],
Glow[
GrayLevel[0.043398054893141205`]],
Glow[
GrayLevel[0.1257442079745724]],
Glow[
GrayLevel[0.14418177744482316`]],
Glow[
GrayLevel[0.1474904386052474]],
Glow[
GrayLevel[0.1474904386052474]],
Glow[
GrayLevel[0.14418177744482313`]],
Glow[
GrayLevel[0.12574420797457234`]],
Glow[
GrayLevel[0.0033188424645851744`]],
Glow[
GrayLevel[0.010243111783921904`]],
Glow[
GrayLevel[0.03738732898491895]],
Glow[
GrayLevel[0.03738732898491895]],
Glow[
GrayLevel[0.07375032371886436]],
Glow[
GrayLevel[0.09506965338878393]],
Glow[
GrayLevel[0.15840277738082065`]],
Glow[
GrayLevel[0.07375032371886434]],
Glow[
GrayLevel[0.008439254991640692]],
Glow[
GrayLevel[0.026046500602191516`]],
Glow[
GrayLevel[0.09506965338878393]],
Glow[
GrayLevel[0.07375032371886436]],
Glow[
GrayLevel[0.18753459804767716`]],
Glow[
GrayLevel[0.18753459804767716`]],
Glow[
GrayLevel[0.3666298711038513]],
Glow[
GrayLevel[0.3197462507314139]],
Glow[
GrayLevel[0.23439236424858303`]],
Glow[
GrayLevel[0.18753459804767708`]],
Glow[
GrayLevel[0.23439236424858267`]],
Glow[
GrayLevel[0.07375032371886411]],
Glow[
GrayLevel[0.000043097129904131876`]],
Glow[
GrayLevel[0.014061284353631104`]],
Glow[
GrayLevel[0.043398054893141205`]],
Glow[
GrayLevel[0.15840277738082065`]],
Glow[
GrayLevel[0.6108699020509303]],
Glow[
GrayLevel[0.5327535377228546]],
Glow[
GrayLevel[0.3905389382455962]],
Glow[
GrayLevel[0.5327535377228546]],
Glow[
GrayLevel[0.3197462507314134]],
Glow[
GrayLevel[0.00005879093266671621]],
Glow[
GrayLevel[0.019181695474403737`]],
Glow[
GrayLevel[0.1257442079745724]],
Glow[
GrayLevel[0.7267555271984909]],
Glow[
GrayLevel[0.8333179346162587]],
Glow[
GrayLevel[0.8333179346162587]],
Glow[
GrayLevel[0.9555053304237865]],
Glow[
GrayLevel[0.8524407858767442]],
Glow[
GrayLevel[0.9774321191718403]],
Glow[
GrayLevel[0.8524407858767442]],
Glow[
GrayLevel[0.9774321191718403]],
Glow[
GrayLevel[0.8333179346162586]],
Glow[
GrayLevel[0.7267555271984907]],
Glow[
GrayLevel[0.9555053304237863]],
Glow[
GrayLevel[0.8333179346162584]],
Glow[
GrayLevel[0.6108699020509302]],
Glow[
GrayLevel[0.3666298711038507]],
Glow[
GrayLevel[0.12574420797457195`]],
Glow[
GrayLevel[0.019181695474403595`]],
Glow[
GrayLevel[0.0000587909326667149]],
Glow[
GrayLevel[0.00006741130510949792]],
Glow[
GrayLevel[0.021994261146915915`]],
Glow[
GrayLevel[0.14418177744482316`]],
Glow[
GrayLevel[0.9096176483955273]],
Glow[
GrayLevel[0.9741054361607439]],
Glow[
GrayLevel[0.9774321191718403]],
Glow[
GrayLevel[0.9998620804815671]],
Glow[
GrayLevel[0.9741054361607439]],
Glow[
GrayLevel[0.9998620804815671]],
Glow[
GrayLevel[0.9096176483955271]],
Glow[
GrayLevel[0.97743211917184]],
Glow[
GrayLevel[0.14418177744482266`]],
Glow[
GrayLevel[0.02199426114691575]],
Glow[
GrayLevel[0.00006741130510949642]],
Glow[
GrayLevel[0.0000689582493277065]],
Glow[
GrayLevel[0.022498982054777364`]],
Glow[
GrayLevel[0.1474904386052474]],
Glow[
GrayLevel[0.8524407858767442]],
Glow[
GrayLevel[0.9304914137035911]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.8524407858767439]],
Glow[
GrayLevel[0.1474904386052469]],
Glow[
GrayLevel[0.022498982054777197`]],
Glow[
GrayLevel[0.00006895824932770497]],
Glow[
GrayLevel[0.0000689582493277065]],
Glow[
GrayLevel[0.022498982054777364`]],
Glow[
GrayLevel[0.1474904386052474]],
Glow[
GrayLevel[0.8524407858767442]],
Glow[
GrayLevel[0.9774321191718403]],
Glow[
GrayLevel[0.9998620804815671]],
Glow[
GrayLevel[0.9555053304237863]],
Glow[
GrayLevel[0.97743211917184]],
Glow[
GrayLevel[0.9998620804815671]],
Glow[
GrayLevel[0.97743211917184]],
Glow[
GrayLevel[0.97743211917184]],
Glow[
GrayLevel[0.8524407858767439]],
Glow[
GrayLevel[0.955505330423786]],
Glow[
GrayLevel[0.1474904386052469]],
Glow[
GrayLevel[0.022498982054777197`]],
Glow[
GrayLevel[0.00006895824932770497]],
Glow[
GrayLevel[0.0000674113051094979]],
Glow[
GrayLevel[0.021994261146915908`]],
Glow[
GrayLevel[0.14418177744482313`]],
Glow[
GrayLevel[0.3666298711038513]],
Glow[
GrayLevel[0.3197462507314139]],
Glow[
GrayLevel[0.6108699020509303]],
Glow[
GrayLevel[0.5327535377228546]],
Glow[
GrayLevel[0.8333179346162586]],
Glow[
GrayLevel[0.9096176483955271]],
Glow[
GrayLevel[0.7267555271984907]],
Glow[
GrayLevel[0.9741054361607436]],
Glow[
GrayLevel[0.8333179346162584]],
Glow[
GrayLevel[0.8524407858767439]],
Glow[
GrayLevel[0.9741054361607436]],
Glow[
GrayLevel[0.8524407858767439]],
Glow[
GrayLevel[0.8333179346162582]],
Glow[
GrayLevel[0.8333179346162582]],
Glow[
GrayLevel[0.7267555271984903]],
Glow[
GrayLevel[0.14418177744482263`]],
Glow[
GrayLevel[0.021994261146915745`]],
Glow[
GrayLevel[0.0000674113051094964]],
Glow[
GrayLevel[0.00005879093266671618]],
Glow[
GrayLevel[0.01918169547440373]],
Glow[
GrayLevel[0.12574420797457234`]],
Glow[
GrayLevel[0.23439236424858303`]],
Glow[
GrayLevel[0.3905389382455962]],
Glow[
GrayLevel[0.7932982432607357]],
Glow[
GrayLevel[0.7932982432607356]],
Glow[
GrayLevel[0.1257442079745719]],
Glow[
GrayLevel[0.019181695474403588`]],
Glow[
GrayLevel[0.00005879093266671488]],
Glow[
GrayLevel[0.07375032371886434]],
Glow[
GrayLevel[0.18753459804767708`]],
Glow[
GrayLevel[0.5327535377228546]],
Glow[
GrayLevel[0.6108699020509302]],
Glow[
GrayLevel[0.15840277738082018`]],
Glow[
GrayLevel[0.18753459804767672`]],
Glow[
GrayLevel[0.014061284353630995`]],
Glow[
GrayLevel[0.07375032371886409]],
Glow[
GrayLevel[0.0000430971299041309]],
Glow[
GrayLevel[0.23439236424858267`]],
Glow[
GrayLevel[0.3197462507314134]],
Glow[
GrayLevel[0.3666298711038507]],
Glow[
GrayLevel[0.18753459804767672`]],
Glow[
GrayLevel[0.15840277738082018`]],
Glow[
GrayLevel[0.0950696533887835]],
Glow[
GrayLevel[0.0950696533887835]],
Glow[
GrayLevel[0.008439254991640612]],
Glow[
GrayLevel[0.03738732898491873]],
Glow[
GrayLevel[0.07375032371886411]],
Glow[
GrayLevel[0.12574420797457195`]],
Glow[
GrayLevel[0.019181695474403595`]],
Glow[
GrayLevel[0.14418177744482266`]],
Glow[
GrayLevel[0.02199426114691575]],
Glow[
GrayLevel[0.1474904386052469]],
Glow[
GrayLevel[0.022498982054777197`]],
Glow[
GrayLevel[0.1474904386052469]],
Glow[
GrayLevel[0.022498982054777197`]],
Glow[
GrayLevel[0.14418177744482263`]],
Glow[
GrayLevel[0.021994261146915745`]],
Glow[
GrayLevel[0.1257442079745719]],
Glow[
GrayLevel[0.019181695474403588`]],
Glow[
GrayLevel[0.07375032371886409]],
Glow[
GrayLevel[0.014061284353630995`]],
Glow[
GrayLevel[0.03738732898491873]],
Glow[
GrayLevel[0.008439254991640612]],
Glow[
GrayLevel[0.003318842464585139]],
Glow[
GrayLevel[0.003318842464585139]],
Glow[
GrayLevel[0.0000587909326667149]],
Glow[
GrayLevel[0.00006741130510949642]],
Glow[
GrayLevel[0.00006895824932770497]],
Glow[
GrayLevel[0.00006895824932770497]],
Glow[
GrayLevel[0.0000674113051094964]],
Glow[
GrayLevel[0.00005879093266671488]],
Glow[
GrayLevel[0.0000430971299041309]],
Glow[
GrayLevel[4.755896081239269*^-9]],
Glow[
GrayLevel[5.860033318692735*^-106]],
Glow[
GrayLevel[4.755896081239164*^-9]],
Glow[
GrayLevel[5.86003317698713*^-106]],
Glow[
GrayLevel[5.860033318692866*^-106]],
Glow[
GrayLevel[0.0021699093086178633`]],
Glow[
GrayLevel[0.0029600809227809583`]],
Glow[
GrayLevel[0.0033941104381791888`]],
Glow[
GrayLevel[0.003471997960305843]],
Glow[
GrayLevel[0.003471997960305843]],
Glow[
GrayLevel[0.003394110438179188]],
Glow[
GrayLevel[0.0029600809227809575`]],
Glow[
GrayLevel[5.860033318692735*^-106]],
Glow[
GrayLevel[0.05920143937112865]],
Glow[
GrayLevel[0.067882003420367]],
Glow[
GrayLevel[0.06943974915071567]],
Glow[
GrayLevel[0.06943974915071567]],
Glow[
GrayLevel[0.06788200342036699]],
Glow[
GrayLevel[0.05920143937112863]],
Glow[
GrayLevel[0.34902264860953675`]],
Glow[
GrayLevel[0.279999536194957]],
Glow[
GrayLevel[0.1875345980476768]],
Glow[
GrayLevel[0.0021699093086178633`]],
Glow[
GrayLevel[0.5815331700271388]],
Glow[
GrayLevel[0.466528514806339]],
Glow[
GrayLevel[0.466528514806339]],
Glow[
GrayLevel[0.27999953619495654`]],
Glow[
GrayLevel[0.0029600809227809583`]],
Glow[
GrayLevel[0.05920143937112865]],
Glow[
GrayLevel[0.7932982432607361]],
Glow[
GrayLevel[0.7932982432607361]],
Glow[
GrayLevel[0.9096176483955273]],
Glow[
GrayLevel[0.9304914137035911]],
Glow[
GrayLevel[0.9304914137035911]],
Glow[
GrayLevel[0.793298243260736]],
Glow[
GrayLevel[0.9096176483955271]],
Glow[
GrayLevel[0.7932982432607357]],
Glow[
GrayLevel[0.5815331700271387]],
Glow[
GrayLevel[0.34902264860953613`]],
Glow[
GrayLevel[0.059201439371128366`]],
Glow[
GrayLevel[0.0029600809227809193`]],
Glow[
GrayLevel[0.0033941104381791888`]],
Glow[
GrayLevel[0.067882003420367]],
Glow[
GrayLevel[0.9741054361607439]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9741054361607436]],
Glow[
GrayLevel[0.06788200342036668]],
Glow[
GrayLevel[0.003394110438179144]],
Glow[
GrayLevel[0.003471997960305843]],
Glow[
GrayLevel[0.06943974915071567]],
Glow[
GrayLevel[0.9304914137035909]],
Glow[
GrayLevel[0.06943974915071534]],
Glow[
GrayLevel[0.0034719979603057972`]],
Glow[
GrayLevel[0.003471997960305843]],
Glow[
GrayLevel[0.06943974915071567]],
Glow[
GrayLevel[0.9304914137035911]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9741054361607439]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9964590572625268]],
Glow[
GrayLevel[0.9304914137035909]],
Glow[
GrayLevel[0.9741054361607436]],
Glow[
GrayLevel[0.06943974915071534]],
Glow[
GrayLevel[0.0034719979603057972`]],
Glow[
GrayLevel[0.003394110438179188]],
Glow[
GrayLevel[0.06788200342036699]],
Glow[
GrayLevel[0.34902264860953675`]],
Glow[
GrayLevel[0.5815331700271388]],
Glow[
GrayLevel[0.793298243260736]],
Glow[
GrayLevel[0.9096176483955271]],
Glow[
GrayLevel[0.9304914137035909]],
Glow[
GrayLevel[0.9304914137035909]],
Glow[
GrayLevel[0.9096176483955268]],
Glow[
GrayLevel[0.9096176483955268]],
Glow[
GrayLevel[0.7932982432607356]],
Glow[
GrayLevel[0.06788200342036667]],
Glow[
GrayLevel[0.0033941104381791432`]],
Glow[
GrayLevel[0.0029600809227809575`]],
Glow[
GrayLevel[0.05920143937112863]],
Glow[
GrayLevel[0.279999536194957]],
Glow[
GrayLevel[0.466528514806339]],
Glow[
GrayLevel[0.059201439371128345`]],
Glow[
GrayLevel[0.002960080922780918]],
Glow[
GrayLevel[0.466528514806339]],
Glow[
GrayLevel[0.5815331700271387]],
Glow[
GrayLevel[0.04339805489314098]],
Glow[
GrayLevel[0.002169909308617834]],
Glow[
GrayLevel[0.1875345980476768]],
Glow[
GrayLevel[0.27999953619495654`]],
Glow[
GrayLevel[0.34902264860953613`]],
Glow[
GrayLevel[0.02604650060219134]],
Glow[
GrayLevel[0.059201439371128366`]],
Glow[
GrayLevel[0.06788200342036668]],
Glow[
GrayLevel[0.06943974915071534]],
Glow[
GrayLevel[0.06943974915071534]],
Glow[
GrayLevel[0.06788200342036667]],
Glow[
GrayLevel[0.059201439371128345`]],
Glow[
GrayLevel[0.04339805489314098]],
Glow[
GrayLevel[0.02604650060219134]],
Glow[
GrayLevel[0.01024311178392182]],
Glow[
GrayLevel[0.01024311178392182]],
Glow[
GrayLevel[0.0029600809227809193`]],
Glow[
GrayLevel[0.003394110438179144]],
Glow[
GrayLevel[0.0034719979603057972`]],
Glow[
GrayLevel[0.0034719979603057972`]],
Glow[
GrayLevel[0.0033941104381791432`]],
Glow[
GrayLevel[0.002960080922780918]],
Glow[
GrayLevel[0.002169909308617834]],
Glow[
GrayLevel[5.86003317698726*^-106]],
Glow[
GrayLevel[5.86003317698713*^-106]],
Glow[
GrayLevel[0.016797275414426882`]],
Glow[
GrayLevel[0.020937997377556777`]],
Glow[
GrayLevel[0.022422406935236578`]],
Glow[
GrayLevel[0.022500533739670047`]],
Glow[
GrayLevel[0.022422406935236578`]],
Glow[
GrayLevel[0.020937997377556774`]],
Glow[
GrayLevel[0.13725751721623514`]],
Glow[
GrayLevel[0.14698845598488605`]],
Glow[
GrayLevel[0.14698845598488605`]],
Glow[
GrayLevel[0.1372575172162351]],
Glow[
GrayLevel[0.016797275414426882`]],
Glow[
GrayLevel[0.020937997377556777`]],
Glow[
GrayLevel[0.13725751721623514`]],
Glow[
GrayLevel[0.13725751721623466`]],
Glow[
GrayLevel[0.020937997377556625`]],
Glow[
GrayLevel[0.022422406935236578`]],
Glow[
GrayLevel[0.14698845598488605`]],
Glow[
GrayLevel[0.9774995296284221]],
Glow[
GrayLevel[0.14698845598488558`]],
Glow[
GrayLevel[0.02242240693523641]],
Glow[
GrayLevel[0.022500533739670047`]],
Glow[
GrayLevel[0.9774995296284221]],
Glow[
GrayLevel[0.9774995296284219]],
Glow[
GrayLevel[0.02250053373966988]],
Glow[
GrayLevel[0.022422406935236578`]],
Glow[
GrayLevel[0.14698845598488605`]],
Glow[
GrayLevel[0.14698845598488558`]],
Glow[
GrayLevel[0.02242240693523641]],
Glow[
GrayLevel[0.020937997377556774`]],
Glow[
GrayLevel[0.1372575172162351]],
Glow[
GrayLevel[0.9774995296284219]],
Glow[
GrayLevel[0.13725751721623464`]],
Glow[
GrayLevel[0.020937997377556618`]],
Glow[
GrayLevel[0.01679727541442675]],
Glow[
GrayLevel[0.13725751721623466`]],
Glow[
GrayLevel[0.14698845598488558`]],
Glow[
GrayLevel[0.14698845598488558`]],
Glow[
GrayLevel[0.13725751721623464`]],
Glow[
GrayLevel[0.020937997377556625`]],
Glow[
GrayLevel[0.02242240693523641]],
Glow[
GrayLevel[0.02250053373966988]],
Glow[
GrayLevel[0.02242240693523641]],
Glow[
GrayLevel[0.020937997377556618`]],
Glow[
GrayLevel[0.01679727541442675]],
Glow[
GrayLevel[0.04032777255111048]],
Glow[
GrayLevel[0.009035126279104813]],
Glow[
GrayLevel[0.9899088657075577]],
Glow[
GrayLevel[0.009988784348743781]],
Glow[
GrayLevel[0.9899088657075577]],
Glow[
GrayLevel[0.010090598492572543`]],
Glow[
GrayLevel[0.010082934193428967`]],
Glow[
GrayLevel[0.04032777255111048]],
Glow[
GrayLevel[0.009035126279104813]],
Glow[
GrayLevel[0.009988784348743781]],
Glow[
GrayLevel[0.010090598492572543`]],
Glow[
GrayLevel[0.010082934193428967`]],
Glow[
GrayLevel[0.0069296213551226496`]],
Glow[
GrayLevel[0.009035126279104902]],
Glow[
GrayLevel[0.033781596443964425`]],
Glow[
GrayLevel[0.009988784348743878]],
Glow[
GrayLevel[0.04032777255111049]],
Glow[
GrayLevel[0.010082934193429066`]],
Glow[
GrayLevel[0.010090598492572642`]],
Glow[
GrayLevel[0.01009059849257264]],
Glow[
GrayLevel[0.010082934193429066`]],
Glow[
GrayLevel[0.009988784348743878]],
Glow[
GrayLevel[0.009035126279104898]],
Glow[
GrayLevel[0.0069296213551226496`]],
Glow[
GrayLevel[0.033781596443964425`]],
Glow[
GrayLevel[0.009035126279104902]],
Glow[
GrayLevel[0.9899088657075575]],
Glow[
GrayLevel[0.04032777255111049]],
Glow[
GrayLevel[0.009988784348743878]],
Glow[
GrayLevel[0.9899088657075577]],
Glow[
GrayLevel[0.04032777255111024]],
Glow[
GrayLevel[0.010082934193429066`]],
Glow[
GrayLevel[0.010090598492572642`]],
Glow[
GrayLevel[0.010082934193428967`]],
Glow[
GrayLevel[0.01009059849257264]],
Glow[
GrayLevel[0.010082934193429066`]],
Glow[
GrayLevel[0.9899088657075575]],
Glow[
GrayLevel[0.9899088657075577]],
Glow[
GrayLevel[0.9899088657075575]],
Glow[
GrayLevel[0.9899088657075575]],
Glow[
GrayLevel[0.010090598492572541`]],
Glow[
GrayLevel[0.009988784348743878]],
Glow[
GrayLevel[0.009988784348743781]],
Glow[
GrayLevel[0.04032777255111023]],
Glow[
GrayLevel[0.009035126279104898]],
Glow[
GrayLevel[0.00903512627910481]],
Glow[
GrayLevel[0.0337815964439642]],
Glow[
GrayLevel[0.006929621355122579]],
Glow[
GrayLevel[0.04032777255111024]],
Glow[
GrayLevel[0.010082934193428967`]],
Glow[
GrayLevel[0.010090598492572541`]],
Glow[
GrayLevel[0.04032777255111023]],
Glow[
GrayLevel[0.009988784348743781]],
Glow[
GrayLevel[0.0337815964439642]],
Glow[
GrayLevel[0.00903512627910481]],
Glow[
GrayLevel[0.006929621355122579]],
Glow[
GrayLevel[3.2797640417052684`*^-13]],
Glow[
GrayLevel[3.2797640417050927`*^-13]],
Glow[
GrayLevel[0.014061284353631099`]],
Glow[
GrayLevel[0.04339805489314119]],
Glow[
GrayLevel[0.014061284353631]],
Glow[
GrayLevel[0.014061284353631099`]],
Glow[
GrayLevel[0.04339805489314119]],
Glow[
GrayLevel[0.014061284353631]],
Glow[
GrayLevel[3.2797640417050927`*^-13]],
Glow[
GrayLevel[3.279764041704917*^-13]],
Glow[
GrayLevel[0.016797275414426875`]],
Glow[
GrayLevel[0.03378159644396441]],
Glow[
GrayLevel[0.03738732898491885]],
Glow[
GrayLevel[0.09506965338878375]],
Glow[
GrayLevel[0.016797275414426875`]],
Glow[
GrayLevel[0.09506965338878375]],
Glow[
GrayLevel[0.03738732898491885]],
Glow[
GrayLevel[0.037387328984918825`]],
Glow[
GrayLevel[0.09506965338878368]],
Glow[
GrayLevel[0.09506965338878368]],
Glow[
GrayLevel[0.037387328984918825`]],
Glow[
GrayLevel[4.866370907317392*^-108]],
Glow[
GrayLevel[0.6364146884512838]],
Glow[
GrayLevel[0.6364146884512838]],
Glow[
GrayLevel[0.016797275414426757`]],
Glow[
GrayLevel[0.03378159644396422]],
Glow[
GrayLevel[0.9482341452557378]],
Glow[
GrayLevel[0.9175722160112302]],
Glow[
GrayLevel[0.9482341452557378]],
Glow[
GrayLevel[0.9799206847582609]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9571717791443146]],
Glow[
GrayLevel[0.9571717791443146]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9799206847582609]],
Glow[
GrayLevel[0.9482341452557378]],
Glow[
GrayLevel[0.9175722160112301]],
Glow[
GrayLevel[0.9482341452557377]],
Glow[
GrayLevel[0.9175722160112301]],
Glow[
GrayLevel[0.9482341452557378]],
Glow[
GrayLevel[0.6364146884512838]],
Glow[
GrayLevel[0.6364146884512838]],
Glow[
GrayLevel[0.9799206847582609]],
Glow[
GrayLevel[0.9482341452557377]],
Glow[
GrayLevel[0.9571717791443145]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9571717791443145]],
Glow[
GrayLevel[0.9482341452557377]],
Glow[
GrayLevel[0.9799206847582609]],
Glow[
GrayLevel[0.016797275414426757`]],
Glow[
GrayLevel[4.866370907317131*^-108]],
Glow[
GrayLevel[0.9363467004520796]],
Glow[
GrayLevel[0.9363467004520795]],
Glow[
GrayLevel[0.9676360047450928]],
Glow[
GrayLevel[0.9571717791443146]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9676360047450926]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9571717791443145]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9571717791443146]],
Glow[
GrayLevel[0.9676360047450928]],
Glow[
GrayLevel[0.9571717791443145]],
Glow[
GrayLevel[0.9891569818943978]],
Glow[
GrayLevel[0.9482341452557377]],
Glow[
GrayLevel[0.9363467004520796]],
Glow[
GrayLevel[0.91757221601123]],
Glow[
GrayLevel[0.9363467004520794]],
Glow[
GrayLevel[4.866370789640239*^-108]],
Glow[
GrayLevel[4.8663707896399784`*^-108]],
Glow[
GrayLevel[4.866370907317392*^-108]],
Glow[
GrayLevel[4.866370789640239*^-108]],
Glow[
GrayLevel[0.043398054893141]],
Glow[
GrayLevel[0.043398054893141]],
Glow[
GrayLevel[4.866370907317131*^-108]],
Glow[
GrayLevel[4.8663707896399784`*^-108]],
Glow[
GrayLevel[0.061897319396015595`]],
Glow[
GrayLevel[0.03378159644396441]],
Glow[
GrayLevel[0.5327535377228544]],
Glow[
GrayLevel[0.5327535377228544]],
Glow[
GrayLevel[0.6364146884512835]],
Glow[
GrayLevel[0.6364146884512835]],
Glow[
GrayLevel[0.061897319396015595`]],
Glow[
GrayLevel[0.06189731939601555]],
Glow[
GrayLevel[0.06189731939601555]],
Glow[
GrayLevel[0.5327535377228548]],
Glow[
GrayLevel[0.636414688451284]],
Glow[
GrayLevel[0.5327535377228548]],
Glow[
GrayLevel[0.636414688451284]],
Glow[
GrayLevel[0.6438610058569567]],
Glow[
GrayLevel[0.6438610058569564]],
Glow[
GrayLevel[0.9363467004520796]],
Glow[
GrayLevel[0.9676360047450928]],
Glow[
GrayLevel[0.9767565119437492]],
Glow[
GrayLevel[0.9767565119437492]],
Glow[
GrayLevel[0.9676360047450928]],
Glow[
GrayLevel[0.9363467004520796]],
Glow[
GrayLevel[0.9363467004520795]],
Glow[
GrayLevel[0.6438610058569564]],
Glow[
GrayLevel[0.9676360047450926]],
Glow[
GrayLevel[0.976756511943749]],
Glow[
GrayLevel[0.976756511943749]],
Glow[
GrayLevel[0.9676360047450926]],
Glow[
GrayLevel[0.03378159644396422]],
Glow[
GrayLevel[0.9767565119437492]],
Glow[
GrayLevel[0.976756511943749]],
Glow[
GrayLevel[0.9767565119437492]],
Glow[
GrayLevel[0.976756511943749]],
Glow[
GrayLevel[0.9676360047450926]],
Glow[
GrayLevel[0.9363467004520794]],
Glow[
GrayLevel[0.7184774039427284]],
Glow[
GrayLevel[0.6438610058569562]],
Glow[
GrayLevel[0.46652851480633883`]],
Glow[
GrayLevel[0.5510466824408186]],
Glow[
GrayLevel[0.6108699020509301]],
Glow[
GrayLevel[0.5815331700271386]],
Glow[
GrayLevel[0.6149069228449145]]},
VertexNormals->CompressedData["
1:eJxtWglUjlsX7so8JGQmhCRzGZNOpiTXPETcEIqQBmNSSWQei1QiKlGRISV0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"]], {}},
AspectRatio->1,
AxesLabel->{None, None, None},
AxesOrigin->{Automatic, Automatic, Automatic},
BoxRatios->{1, 1, 0.4},
Boxed->False,
DisplayFunction->Identity,
FaceGrids->None,
FaceGridsStyle->Automatic,
ImageSize->Large,
Lighting->None,
Method->{"DefaultBoundaryStyle" -> Directive[
GrayLevel[0.3]],
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "RotationControl" ->
"Globe"},
PlotRange->{All, All, All},
PlotRangePadding->{Automatic, Automatic, Automatic},
Ticks->{Automatic, Automatic, Automatic},
ViewPoint->{0, 0,
DirectedInfinity[1]}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"Out[416]=",ExpressionUUID->"880950a7-b126-4427-99a8-3935f8abde6f"]
}, Open ]],
Cell[CellGroupData[{
Cell[BoxData[{
RowBox[{
RowBox[{
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\
\:24c4\:26aa\:2724\:26aa", "=",
RowBox[{
RowBox[{"CurvaturePlot", "[",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
"\:26aa\:1513\:1515\:26aa\:144e\:26aa\:a5b4\:26aa8\:26aa\:15e9\
\:26aa\:a5f3\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\
\:25cc\:26aa\:a5f3\:26aa\:15e9\:26aa8\:26aa\:a5b4\:26aa\:144e\:26aa\:1513\
\:1515\:26aa", ",", "Infinity"}], "]"}], ",", "Infinity"}], "]"}], ",",
RowBox[{"{",
RowBox[{"X", ",", "0", ",",
RowBox[{"4", "\[Pi]"}]}], "}"}], ",",
RowBox[{"WorkingPrecision", "\[Rule]", "30"}], ",",
RowBox[{"Accuracy", "\[Rule]", "Infinity"}], ",",
RowBox[{"MaxRecursion", "\[Rule]", "0"}], ",",
RowBox[{"PlotPoints", "\[Rule]", "17"}]}], "]"}], ",", " ",
RowBox[{"Axes", " ", "\[Rule]", " ",
RowBox[{"{",
RowBox[{"True", ",", "True"}], "}"}]}]}], "]"}], "/.", " ",
RowBox[{
RowBox[{"{",
RowBox[{"X_Real", ",", "Y_Real"}], "}"}], "\[RuleDelayed]",
RowBox[{"{",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"X", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{"0", ",", "1"}], "}"}]}], "]"}], ",", "40"}], "]"}],
",", "40"}], "]"}], "]"}], ",",
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"Y", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "]"}], ",", "40"}],
"]"}], ",", "40"}], "]"}], "]"}]}], "}"}]}]}]}],
";"}], "\[IndentingNewLine]",
RowBox[{
RowBox[{"Show", "[",
RowBox[{
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\
\:24c4\:26aa\:2724\:26aa", ",",
RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameTicks", "->",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", "0", ",", "1"}], "}"}], ",", " ",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", "0", ",", "1"}], "}"}]}], "}"}]}], ",",
RowBox[{"PlotRange", "->", "Full"}], ",",
RowBox[{"AspectRatio", "\[Rule]", "1"}]}], "]"}], "/.", " ",
RowBox[{
RowBox[{"{",
RowBox[{"X_Real", ",", "Y_Real"}], "}"}], "\[RuleDelayed]",
RowBox[{"{",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"X", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{"0", ",", "1"}], "}"}]}], "]"}], ",", "40"}], "]"}], ",",
"40"}], "]"}], "]"}], ",",
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"Y", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "]"}], ",", "40"}],
"]"}], ",", "40"}], "]"}], "]"}]}], "}"}]}]}], "\n",
RowBox[{
RowBox[{
"\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa\:15dd\:26aa\:25ef\:26aa\:2724\
\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\
\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\:24c4\:26aa\:2724\
\:26aa\:25ef\:26aa\:15dd\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa", "=",
RowBox[{
RowBox[{"Flatten", "[",
RowBox[{
RowBox[{"Cases", "[",
RowBox[{
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\
\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\
\:26aa\:24c4\:26aa\:2724\:26aa", ",",
RowBox[{
RowBox[{"Line", "[", "X__", "]"}], "\[Rule]", "X"}], ",",
"Infinity"}], "]"}], ",", "1"}], "]"}], "/.", " ",
RowBox[{
RowBox[{"{",
RowBox[{"X_Real", ",", "Y_Real"}], "}"}], "\[RuleDelayed]",
RowBox[{"{",
RowBox[{
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"X", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{"0", ",", "1"}], "}"}]}], "]"}], ",", "40"}], "]"}],
",", "40"}], "]"}], "]"}], ",",
RowBox[{"Evaluate", "[",
RowBox[{"SetPrecision", "[",
RowBox[{
RowBox[{"SetAccuracy", "[",
RowBox[{
RowBox[{"Rescale", "[",
RowBox[{"Y", ",",
RowBox[{"Last", "@",
RowBox[{
"PlotRange", "@",
"\:26aa\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\
\:1641\:26aa\:24c4\:26aa\:2724\:26aa"}]}], ",",
RowBox[{"{",
RowBox[{
RowBox[{"-", "1"}], ",", "1"}], "}"}]}], "]"}], ",", "40"}],
"]"}], ",", "40"}], "]"}], "]"}]}], "}"}]}]}]}], ";"}], "\n",
RowBox[{
RowBox[{"Export", "[",
RowBox[{
"\"\<\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa\:15dd\:26aa\:25ef\:26aa\
\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\:24c4\:26aa\
\:2724\:26aa\:25ef\:26aa\:15dd\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa\>\"",
",", "\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa\:15dd\:26aa\:25ef\:26aa\
\:2724\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\
\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\:24c4\:26aa\
\:2724\:26aa\:25ef\:26aa\:15dd\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa",
",", "\"\<CSV\>\""}], "]"}], ";"}], "\[IndentingNewLine]",
RowBox[{"Show", "[",
"\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa\:15dd\:26aa\:25ef\:26aa\:2724\
\:26aa\:24c4\:26aa\:1641\:26aa\:07e6\:26aa\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\
\:25cc\:26aa\:25cc\:26aa\:25cc\:26aa\:07e6\:26aa\:1641\:26aa\:24c4\:26aa\:2724\
\:26aa\:25ef\:26aa\:15dd\:26aa\:15e9\:26aa\:2724\:26aa\:15e9\:26aa",
"]"}]}], "Input",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"In[411]:=",ExpressionUUID->"b04ec96b-36ee-4daa-b37c-acd4a08d9eae"],
Cell[BoxData[
GraphicsBox[{{{}, {},
TagBox[
{RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
1.], FaceForm[Opacity[0.3]],
LineBox[{{6.514233596988106*^-14, -0.9832446820137724}, {
0.10305810959206836`, -0.9755609113566677}, {
0.203629433032756, -0.8034059268584972}, {
0.24530302982001428`, -0.42947364450941894`}, {
0.2479055852472179, -0.020514661028357084`}, {0.24592075648809508`,
0.42326965455486554`}, {0.20813472060347687`, 0.8011186257003935}, {
0.10909612260208372`, 0.9897624221555095}, {-0.001037186239265367,
1.}, {-0.10379318457523758`, 0.9920333523519194}, {-0.2039387785249806,
0.818911047240233}, {-0.24531957676201305`,
0.44566871844254585`}, {-0.24790558524604384`,
0.03790070699377934}, {-0.2459645722279325, -0.4046971729130425}, \
{-0.2086388843624446, -0.7821146893214186}, {-0.11014256808940612`, \
-0.9725088723843445}, {5.3540505362548174`*^-14, -0.9832446820140328}}]},
Annotation[#, "Charting`Private`Tag$1055487#1"]& ]}, {}},
AspectRatio->1,
Axes->{True, True},
AxesLabel->{None, None},
AxesOrigin->{0, 0},
DisplayFunction->Identity,
Frame->True,
FrameLabel->{{None, None}, {None, None}},
FrameTicks->{{{-1,
FormBox[
RowBox[{"-", "1"}], TraditionalForm]}, {0,
FormBox["0", TraditionalForm]}, {1,
FormBox["1", TraditionalForm]}}, {{-1,
FormBox[
RowBox[{"-", "1"}], TraditionalForm]}, {0,
FormBox["0", TraditionalForm]}, {1,
FormBox["1", TraditionalForm]}}},
GridLinesStyle->Directive[
GrayLevel[0.5, 0.4]],
ImagePadding->All,
Method->{
"DefaultGraphicsInteraction" -> {
"Version" -> 1.2, "TrackMousePosition" -> {True, False},
"Effects" -> {
"Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2},
"Droplines" -> {
"freeformCursorMode" -> True,
"placement" -> {"x" -> "All", "y" -> "None"}}}}, "ScalingFunctions" ->
None},
PlotRange->Full,
PlotRangeClipping->True,
PlotRangePadding->{{
Scaled[0.05],
Scaled[0.05]}, {
Scaled[0.05],
Scaled[0.05]}},
Ticks->{Automatic, Automatic}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"Out[412]=",ExpressionUUID->"796aaf35-cf1b-4095-abd4-c18dfa7dca01"],
Cell[BoxData[
RowBox[{"Show", "[",
RowBox[{"{",
RowBox[{
RowBox[{"{",
RowBox[{"6.51423359698810600093565881252288818359375`40.*^-14", ",",
RowBox[{
"-", "0.9832446820137723531018991707242093980312347412109375`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
"0.10305810959206836152635133885269169695675373077392578125`40.", ",",
RowBox[{
"-", "0.975560911356667670446540796547196805477142333984375`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
"0.203629433032755990939932644323562271893024444580078125`40.", ",",
RowBox[{
"-", "0.8034059268584972102189567522145807743072509765625`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{"0.245303029820014284467788456822745501995086669921875`40.", ",",
RowBox[{
"-", "0.42947364450941893920798975159414112567901611328125`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
"0.247905585247217896682769833205384202301502227783203125`40.", ",",
RowBox[{
"-", "0.0205146610283570840493894138489849865436553955078125`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
"0.24592075648809508248149313658359460532665252685546875`40.", ",",
"0.4232696545548655375768021258409135043621063232421875`40."}], "}"}],
",",
RowBox[{"{",
RowBox[{
"0.208134720603476874867254764467361383140087127685546875`40.", ",",
"0.801118625700393494071249733678996562957763671875`40."}], "}"}], ",",
RowBox[{"{",
RowBox[{
"0.10909612260208371992131759498079190962016582489013671875`40.", ",",
"0.9897624221555094692348575335927307605743408203125`40."}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.00103718623926536690493804826473933644592761993408203125`40."}],
",", "1.`40."}], "}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.10379318457523757646132622767254360951483249664306640625`40."}],
",", "0.9920333523519193619222278357483446598052978515625`40."}],
"}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.203938778524980601769556187718990258872509002685546875`40."}],
",", "0.8189110472402330032082318211905658245086669921875`40."}], "}"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.245319576762013047410704302819794975221157073974609375`40."}],
",", "0.4456687184425458525538488174788653850555419921875`40."}], "}"}],
",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.247905585246043835834228730163886211812496185302734375`40."}],
",", "0.0379007069937793428238137494190596044063568115234375`40."}],
"}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.245964572227932498638125480283633805811405181884765625`40."}],
",",
RowBox[{
"-", "0.40469717291304252437811328491079621016979217529296875`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.20863888436244459878565749022527597844600677490234375`40."}],
",",
RowBox[{
"-", "0.78211468932141858800832778797484934329986572265625`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{
RowBox[{
"-", "0.1101425680894061176484655106833088211715221405029296875`40."}],
",",
RowBox[{
"-", "0.9725088723843444693528681455063633620738983154296875`40."}]}],
"}"}], ",",
RowBox[{"{",
RowBox[{"5.35405053625481741619296371936798095703125`40.*^-14", ",",
RowBox[{
"-", "0.98324468201403281142347623244859278202056884765625`40."}]}],
"}"}]}], "}"}], "]"}]], "Output",
TextAlignment->Center,
FontFamily->"Microsoft Sans Serif",
FontSize->9,
FontWeight->"Normal",
CellLabel->
"Out[415]=",ExpressionUUID->"035bacde-1aae-4053-9348-ef65452d0b97"]
}, Open ]]
},
WindowToolbars->"EditBar",
EvaluationCompletionAction->"ShowTiming",
WindowSize->{1674, 976},
WindowMargins->{{0, Automatic}, {Automatic, 0}},
CloudRenderingMethod->"InteractiveBoxes",
FrontEndVersion->"12.2 for Microsoft Windows (64-bit) (December 12, 2020)",
StyleDefinitions->"Default.nb",
ExpressionUUID->"6dc0cd0b-ec22-432f-955e-a1fc831e168b"
]
(* End of Notebook Content *)
(* Internal cache information *)
(*CellTagsOutline
CellTagsIndex->{}
*)
(*CellTagsIndex
CellTagsIndex->{}
*)
(*NotebookFileOutline
Notebook[{
Cell[CellGroupData[{
Cell[580, 22, 6299, 186, 266, "Input",ExpressionUUID->"a68001d4-5f1e-4b83-8af8-5ffeaf0911a7"],
Cell[6882, 210, 324, 9, 29, "Output",ExpressionUUID->"0b7edb27-738f-47cc-b97d-2890713f18eb"]
}, Open ]],
Cell[CellGroupData[{
Cell[7243, 224, 7077, 185, 341, "Input",ExpressionUUID->"1cb68996-1682-47b9-a616-08af5811bee5"],
Cell[14323, 411, 326, 9, 29, "Output",ExpressionUUID->"3c8a9570-af49-4a23-b6e7-1104618aa60d"]
}, Open ]],
Cell[CellGroupData[{
Cell[14686, 425, 3165, 73, 176, "Input",ExpressionUUID->"a8c1fd5e-14b8-4edc-b2f7-b94c06f766bc"],
Cell[17854, 500, 104404, 1763, 552, "Output",ExpressionUUID->"186c789a-1b1e-47b4-8922-e1abcf1fcbeb"]
}, Open ]],
Cell[CellGroupData[{
Cell[122295, 2268, 1396, 38, 25, "Input",ExpressionUUID->"b888318d-5448-4ae1-bf58-74f5395d1c0e"],
Cell[123694, 2308, 78951, 2259, 593, "Output",ExpressionUUID->"880950a7-b126-4427-99a8-3935f8abde6f"]
}, Open ]],
Cell[CellGroupData[{
Cell[202682, 4572, 8498, 203, 131, "Input",ExpressionUUID->"b04ec96b-36ee-4daa-b37c-acd4a08d9eae"],
Cell[211183, 4777, 2405, 60, 379, "Output",ExpressionUUID->"796aaf35-cf1b-4095-abd4-c18dfa7dca01"],
Cell[213591, 4839, 3878, 109, 120, "Output",ExpressionUUID->"035bacde-1aae-4053-9348-ef65452d0b97"]
}, Open ]]
}
]
*)