path: root/tempering_analysis.nb

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

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

(* CreatedBy='Mathematica 12.0' *)

(*CacheID: 234*)
(* Internal cache information:
NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[       158,          7]
NotebookDataLength[     33282,        767]
NotebookOptionsPosition[     31337,        730]
NotebookOutlinePosition[     31675,        745]
CellTagsIndexPosition[     31632,        742]
WindowFrame->Normal*)

(* Beginning of Notebook Content *)
Notebook[{
Cell[BoxData[
 RowBox[{
  RowBox[{"getData", "[", "dir_", "]"}], ":=", 
  RowBox[{"Dataset", "[", 
   RowBox[{
    RowBox[{
     RowBox[{"With", "[", 
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"data", "=", 
          RowBox[{"Import", "[", "#", "]"}]}], ",", 
         RowBox[{"metadata", "=", 
          RowBox[{"ToExpression", "/@", 
           RowBox[{"Rest", "[", 
            RowBox[{"StringSplit", "[", 
             RowBox[{
              RowBox[{"FileBaseName", "[", "#", "]"}], ",", "\"\<_\>\""}], 
             "]"}], "]"}]}]}]}], "}"}], ",", 
       RowBox[{"<|", 
        RowBox[{
         RowBox[{"\"\<n\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "1", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<\[Beta]0\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "2", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<\[Beta]f\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "3", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<n\[Beta]\>\"", "\[Rule]", 
          RowBox[{"metadata", "[", 
           RowBox[{"[", "4", "]"}], "]"}]}], ",", 
         RowBox[{"\"\<As\>\"", "\[Rule]", 
          RowBox[{
           RowBox[{"Rest", "[", "data", "]"}], "/", 
           RowBox[{"First", "[", 
            RowBox[{"First", "[", "data", "]"}], "]"}]}]}]}], "|>"}]}], "]"}],
      "&"}], "/@", 
    RowBox[{"FileNames", "[", 
     RowBox[{"FileNameJoin", "[", 
      RowBox[{"{", 
       RowBox[{"dir", ",", "\"\<probs_*.dat\>\""}], "}"}], "]"}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.778948155736003*^9, 3.778948220094614*^9}, {
  3.778948251774682*^9, 3.778948445776267*^9}},
 CellLabel->"In[12]:=",ExpressionUUID->"6ca216e4-4a7b-4e5f-a718-f4e70c77d6a2"],

Cell[BoxData[
 RowBox[{
  RowBox[{
   RowBox[{"c", "[", 
    RowBox[{"\[Beta]i_", ",", "\[Beta]j_"}], "]"}], "[", "A_", "]"}], ":=", 
  RowBox[{"2", 
   FractionBox[
    RowBox[{"(", 
     RowBox[{
      SuperscriptBox["\[Beta]i", "2"], "+", 
      SuperscriptBox["\[Beta]j", "2"]}], ")"}], 
    SuperscriptBox[
     RowBox[{"(", 
      RowBox[{"\[Beta]i", "-", "\[Beta]j"}], ")"}], "2"]], 
   SuperscriptBox[
    RowBox[{"InverseErfc", "[", "A", "]"}], "2"]}]}]], "Input",
 CellChangeTimes->{{3.7789451133983593`*^9, 3.778945185413146*^9}, {
  3.778945446992125*^9, 3.778945447478743*^9}},
 CellLabel->"In[14]:=",ExpressionUUID->"f756d73a-4921-45d7-acd1-44fe21438a02"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Ts", "[", "dat_", "]"}], ":=", 
  RowBox[{"Range", "[", 
   RowBox[{
    RowBox[{"dat", "[", "\"\<\[Beta]0\>\"", "]"}], ",", 
    RowBox[{"dat", "[", "\"\<\[Beta]f\>\"", "]"}], ",", 
    RowBox[{
     RowBox[{"(", 
      RowBox[{
       RowBox[{"dat", "[", "\"\<\[Beta]f\>\"", "]"}], "-", 
       RowBox[{"dat", "[", "\"\<\[Beta]0\>\"", "]"}]}], ")"}], "/", 
     RowBox[{"(", 
      RowBox[{
       RowBox[{"dat", "[", "\"\<n\[Beta]\>\"", "]"}], "-", "1"}], ")"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.778948523412203*^9, 3.778948610089134*^9}, {
  3.7789486512266293`*^9, 3.778948654153482*^9}},
 CellLabel->"In[15]:=",ExpressionUUID->"c91e85b2-f90e-40d7-bf19-7a03fd9499bb"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Cstmp", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ts", "=", 
      RowBox[{"Ts", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"{", 
     RowBox[{
      RowBox[{
       RowBox[{
        RowBox[{"{", 
         RowBox[{"#", ",", 
          RowBox[{"#", "+", 
           RowBox[{"ts", "[", 
            RowBox[{"[", "2", "]"}], "]"}], "-", 
           RowBox[{"ts", "[", 
            RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}], "&"}], "/@", "ts"}], 
      ",", 
      RowBox[{"Last", "/@", 
       RowBox[{"dat", "[", "\"\<As\>\"", "]"}]}]}], "}"}]}], "]"}]}]], "Input",\

 CellChangeTimes->{{3.7789537137281647`*^9, 3.7789537203664207`*^9}},
 CellLabel->"In[16]:=",ExpressionUUID->"1b068f0a-fa61-487d-893c-5b00f279e758"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Cs", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ts", "=", 
      RowBox[{"Ts", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"MapThread", "[", 
     RowBox[{
      RowBox[{
       RowBox[{"{", 
        RowBox[{
         RowBox[{"Mean", "[", 
          RowBox[{"{", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}], ",", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}]}], "}"}], "]"}], ",", 
         RowBox[{
          RowBox[{"c", "[", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}], ",", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}]}], "]"}], "[", "#2", "]"}]}], 
        "}"}], "&"}], ",", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{
         RowBox[{
          RowBox[{"{", 
           RowBox[{"#", ",", 
            RowBox[{"#", "+", 
             RowBox[{"ts", "[", 
              RowBox[{"[", "2", "]"}], "]"}], "-", 
             RowBox[{"ts", "[", 
              RowBox[{"[", "1", "]"}], "]"}]}]}], "}"}], "&"}], "/@", 
         RowBox[{"Most", "[", "ts", "]"}]}], ",", 
        RowBox[{"Last", "/@", 
         RowBox[{"dat", "[", "\"\<As\>\"", "]"}]}]}], "}"}]}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.7789479000625353`*^9, 3.7789480157738333`*^9}, {
  3.778948503834503*^9, 3.778948518745183*^9}, {3.778948666921554*^9, 
  3.778948688346896*^9}, {3.7789536224795513`*^9, 3.778953623110043*^9}, {
  3.778953673879937*^9, 3.778953685238799*^9}, {3.778953742582839*^9, 
  3.778953745606895*^9}},
 CellLabel->"In[17]:=",ExpressionUUID->"83b164e2-d1bf-4be5-bf92-d3645cb950ca"],

Cell[BoxData[
 RowBox[{
  RowBox[{"\[CapitalDelta]Ss", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{
      RowBox[{"ts", "=", 
       RowBox[{"1", "/", 
        RowBox[{"Ts", "[", "dat", "]"}]}]}], ",", 
      RowBox[{"cs", "=", 
       RowBox[{"Cs", "[", "dat", "]"}]}]}], "}"}], ",", 
    RowBox[{
     RowBox[{
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Mean", "[", 
         RowBox[{"1", "/", "#1"}], "]"}], ",", 
        FractionBox[
         RowBox[{"#2", 
          RowBox[{"(", 
           RowBox[{
            RowBox[{"#1", "[", 
             RowBox[{"[", "1", "]"}], "]"}], "-", 
            RowBox[{"#1", "[", 
             RowBox[{"[", "2", "]"}], "]"}]}], ")"}]}], 
         RowBox[{"Mean", "[", "#1", "]"}]]}], "}"}], "&"}], "@@@", 
     RowBox[{"Thread", "[", 
      RowBox[{"{", 
       RowBox[{
        RowBox[{"Rest", "@", 
         RowBox[{"Rest", "[", 
          RowBox[{"FoldList", "[", 
           RowBox[{
            RowBox[{
             RowBox[{"{", 
              RowBox[{
               RowBox[{"#1", "[", 
                RowBox[{"[", "2", "]"}], "]"}], ",", "#2"}], "}"}], "&"}], 
            ",", 
            RowBox[{"{", 
             RowBox[{"0", ",", "0"}], "}"}], ",", "ts"}], "]"}], "]"}]}], ",", 
        RowBox[{
         RowBox[{"Cs", "[", "dat", "]"}], "[", 
         RowBox[{"[", 
          RowBox[{"All", ",", "2"}], "]"}], "]"}]}], "}"}], "]"}]}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.779561994673626*^9, 3.7795620342479887`*^9}, {
  3.779700498628436*^9, 3.779700513292344*^9}, {3.7797005747090063`*^9, 
  3.779700575188902*^9}, {3.779700627710291*^9, 3.7797006535654173`*^9}, {
  3.779700716133662*^9, 3.7797008200306168`*^9}, {3.779700857824486*^9, 
  3.7797008584386597`*^9}, {3.7797008994884863`*^9, 3.779700901055118*^9}, {
  3.779700939144706*^9, 3.779700939215414*^9}},
 CellLabel->"In[18]:=",ExpressionUUID->"cfeba3ce-dc48-40c8-b8b8-f34cf59a253d"],

Cell[BoxData[
 RowBox[{
  RowBox[{"Ss", "[", "dat_", "]"}], ":=", 
  RowBox[{"With", "[", 
   RowBox[{
    RowBox[{"{", 
     RowBox[{"ss", "=", 
      RowBox[{"\[CapitalDelta]Ss", "[", "dat", "]"}]}], "}"}], ",", 
    RowBox[{"Thread", "[", 
     RowBox[{"{", 
      RowBox[{
       RowBox[{"ss", "[", 
        RowBox[{"[", 
         RowBox[{"All", ",", "1"}], "]"}], "]"}], ",", 
       RowBox[{"Accumulate", "[", 
        RowBox[{"ss", "[", 
         RowBox[{"[", 
          RowBox[{"All", ",", "2"}], "]"}], "]"}], "]"}]}], "}"}], "]"}]}], 
   "]"}]}]], "Input",
 CellChangeTimes->{{3.779700960584425*^9, 3.7797010023114433`*^9}},
 CellLabel->"In[19]:=",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],

Cell[BoxData[
 RowBox[{
  RowBox[{"d", "=", 
   RowBox[{"getData", "[", "\"\<~/doc/research/hadamard/code/\>\"", "]"}]}], 
  ";"}]], "Input",
 CellChangeTimes->{{3.778948447393362*^9, 3.778948476191824*^9}, {
  3.7795618755287123`*^9, 3.779561880399358*^9}},
 CellLabel->"In[37]:=",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"d", "[", 
    RowBox[{
     RowBox[{"SortBy", "[", "\"\<n\>\"", "]"}], ",", 
     RowBox[{
      RowBox[{"With", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"L", "=", 
          SuperscriptBox["#n", "2"]}], "}"}], ",", 
        RowBox[{
         RowBox[{
          RowBox[{"{", 
           RowBox[{"#1", ",", 
            RowBox[{"#2", "/", "L"}]}], "}"}], "&"}], "@@@", 
         RowBox[{"Ss", "[", "#", "]"}]}]}], "]"}], "&"}]}], "]"}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]], "Input",
 CellChangeTimes->CompressedData["
1:eJwdxVkogwEAB/A5kjmXQiRsxeYWk5ojn1wZyshRHhAapmmuJtcLOV9kKUop
LXfJyrZ4cJtpRm0oJCuxphjle3B9/+/h149dKxXVOzIYDDYFZ/J0lbtcG3Hk
21uFrQVXcqy1l3bjZX3UCD7Xk2PYUHXkt0e9usPxx3JxqwCvfzFTcU+d8RYv
yR/usHhY9YifDKQFS7haK07Vjb9hvlNP4D712pCajfO21sKx38MXFzNFE3Kc
w2/uxorfX94BNWfTFImbAirSsKamOB0Xk/FCPLeRR/9xIp3HbpGSRZxSEreJ
K9prVXjaPqLGeudBDSZNLYdYHNxHr9C4GjGrXHmBXWKyHA6pf26K6LcVLyG4
2lEXihOSGzvx1Pd0Fy5Te+lx0OIN/eWoKeWdZyPOCj3TseR+gPSOsBGPGuU3
jl2JYrLw36wHPi1Jdk+i5lhu6QdmVtnYpy04DEvtfMM7tag834ifO/rNuOGV
uMKyvmNZfqKNMMvC23HG5Ge2kHpBEJKLo+uuhTjzWVmE/wGo7glY
  "],
 CellLabel->"In[46]:=",ExpressionUUID->"73943d9b-70f3-4562-ab84-3881106d7e0c"],

Cell[BoxData[
 GraphicsBox[{{}, {{{}, {}, 
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw1yX8s1HEcx3E/MstRuHK5k993x3EnSYzyfZuNobpiLW2t/Go3UUdIUoro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       "]]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10X0s1HEcwHFd5PEWylN5uPNwHMft9KDT1e/jYdwqzVA3sTmkTZFWcSrd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       "]]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw1yXlI03EYx/Et+5XmVmrLPHObOrc5DzJK+qPf4wWG9c/Sf/JYTQwVvKY1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       "]]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw1yX8s1HEcx/GTOJyScK6S7s65cxy2mli/vu/Ntf4yJD+alkb6Nd2h4ZpW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       "]]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.052083333333333336`, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0.052083333333333336`, 15.875}, {0, 0.6579102930533526}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.778946374557211*^9, 3.7789464676677723`*^9, 3.778946508497999*^9, 
   3.778946604369417*^9, {3.7789466690966673`*^9, 3.778946701500992*^9}, {
   3.778946731994258*^9, 3.778946749349575*^9}, 3.7789467962636337`*^9, 
   3.778946833931172*^9, 3.778947082771483*^9, {3.778947327915792*^9, 
   3.778947345892826*^9}, 3.778948029994212*^9, 3.7789481053151817`*^9, {
   3.778948692166095*^9, 3.7789487038141737`*^9}, 3.778953585064103*^9, 
   3.778953624385591*^9, 3.778953682031535*^9, 3.778953746826598*^9, {
   3.77956194067076*^9, 3.779561968768979*^9}, 3.779624858106914*^9, {
   3.779624924084155*^9, 3.779624933643355*^9}, {3.779625037660088*^9, 
   3.779625061656746*^9}, 3.779699807199407*^9, {3.779700827690935*^9, 
   3.7797008596365232`*^9}, 3.7797009048423357`*^9, 3.779700941258234*^9, {
   3.779701005894755*^9, 3.779701033694045*^9}, 3.78008725076254*^9, 
   3.780087374491346*^9, 3.780087426664627*^9, {3.780087476814011*^9, 
   3.7800874839642763`*^9}, {3.784987528733613*^9, 3.7849875536676188`*^9}, 
   3.7849876962409067`*^9, 3.7849880617038116`*^9, 3.784988269808079*^9, 
   3.7849886106727123`*^9, 3.784989205039175*^9, {3.784989237650683*^9, 
   3.784989241626642*^9}, {3.7849892794456577`*^9, 3.784989301810355*^9}},
 CellLabel->"Out[46]=",ExpressionUUID->"520bf791-28f4-41af-9c2f-24068e5eb363"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", 
  RowBox[{
   RowBox[{"d", "[", 
    RowBox[{
     RowBox[{"SortBy", "[", "\"\<n\>\"", "]"}], ",", 
     RowBox[{
      RowBox[{"With", "[", 
       RowBox[{
        RowBox[{"{", 
         RowBox[{"L", "=", 
          SuperscriptBox["#n", "2"]}], "}"}], ",", 
        RowBox[{
         RowBox[{
          RowBox[{"{", 
           RowBox[{"#1", ",", 
            RowBox[{"#2", "/", "L"}]}], "}"}], "&"}], "@@@", 
         RowBox[{"Cs", "[", "#", "]"}]}]}], "]"}], "&"}]}], "]"}], ",", 
   RowBox[{"Joined", "\[Rule]", "True"}], ",", 
   RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}]], "Input",
 CellChangeTimes->{{3.779700477940461*^9, 3.77970048742832*^9}, {
  3.780087268580113*^9, 3.7800872686230392`*^9}, {3.780087382286021*^9, 
  3.780087398738736*^9}, {3.7800877026590443`*^9, 3.780087726448501*^9}, {
  3.78498770229777*^9, 3.7849877073353243`*^9}, {3.78498924891437*^9, 
  3.7849892518156357`*^9}},
 CellLabel->"In[44]:=",ExpressionUUID->"60949ea9-18bb-4b5b-868e-6a12e7d013f6"],

Cell[BoxData[
 GraphicsBox[{{}, {{{}, {}, 
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10XtIU3EUB3DNTNRi5nO6zdfmY/O1RC2LugdF6WGIK4lgE7EWpmWmm6NE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       "]]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10HtIU3EUB/DpMJ2p6dLyNXNOnW5TQaGH5e7R1BaGaJI2smYr/wmx2B9p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       "]]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw10n8slHEcB/AjzaTSFfKzHDp3jhKaaqvnnX6Y7raaurVYzrEa/VAyuqk/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       "]]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6], LineBox[CompressedData["
1:eJw90g0slHEcB3CiNZk5V+pwuHPOyzmnbNeU2vPVpIgdJ0WthJStVGe20mJ2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       "]]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.560181, 0.691569, 0.194885], PointSize[0.007333333333333334],
       AbsoluteThickness[1.6]}, 
     {RGBColor[0.922526, 0.385626, 0.209179], PointSize[0.007333333333333334],
       AbsoluteThickness[
      1.6]}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}, {}}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0.052083333333333336`, 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0.052083333333333336`, 15.875}, {0, 1.8376777821931807`}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.02], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{
  3.7797004888467417`*^9, {3.780087263365243*^9, 3.780087269048139*^9}, {
   3.780087378630178*^9, 3.780087399174458*^9}, {3.780087705097999*^9, 
   3.780087726696293*^9}, {3.784987697054266*^9, 3.7849877075856333`*^9}, 
   3.7849880628367*^9, 3.784988270798539*^9, 3.7849886153459663`*^9, 
   3.78498920646163*^9, 3.784989252209024*^9},
 CellLabel->"Out[44]=",ExpressionUUID->"4b818f0b-341a-496c-8216-10c283d7a417"]
}, Open  ]],

Cell[BoxData[
 RowBox[{
  RowBox[{"a", "=", 
   RowBox[{
   "Import", "[", 
    "\"\<~/doc/research/hadamard/code/energies_32_0.250000_16.000000_64.dat\>\
\"", "]"}]}], ";"}]], "Input",
 CellChangeTimes->{{3.779699855009756*^9, 3.779699866112481*^9}, {
  3.784988180321373*^9, 3.784988193494982*^9}, {3.784988626865487*^9, 
  3.784988627055429*^9}, {3.784989217849276*^9, 3.7849892179355593`*^9}},
 CellLabel->"In[40]:=",ExpressionUUID->"bb64ee8f-2ab2-44da-86d3-071e144df4ac"],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{"ListPlot", "[", "a", "]"}]], "Input",
 CellChangeTimes->{{3.7796998674408073`*^9, 3.779699868848329*^9}},
 CellLabel->"In[41]:=",ExpressionUUID->"27200d6e-a8c7-4ded-bf66-0ba360a8d0c7"],

Cell[BoxData[
 GraphicsBox[{{}, {{
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6], 
      PointBox[{{1., 100000.}, {1., 100000.}}]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6], PointBox[CompressedData["
1:eJw1yQlIE3AUx/FZWuKBYmFGopk6p2jMI2vT6W9ublM3l1JDPOY8yprHjNSS
lEaaOrAyDyhRIalwWi4rbR2KShBaZFiLYRkaYcdGrRBKoxP//wePx+d9/fI1
6QfWMRgM/Nv/d21s8emhd548Dw7hkwe0xoHvU0F2E2t0hOekWmL0ZxO746K5
pvDU71jizTjTaVDFVQiJvTCAsHclK0nE3sh8kCG95C0n3o7FGdvw8HIa8Q74
m41WFnsfcQAUQtmSWqwgZkJwtNuDF5dBzEJv4ojGsiWTOASDy3OV7k+ziEMR
r7Dp7pflEO+Eint98PU3JTEbC/UJnxChIg6Hoo6t9lmgjsC2OcYjZUMecSRa
GseumHzziaNQ4KRobhui3gV290vmOU4BcTRGS5kd0R6FxLshsrCmb7gdJN6D
pjCeqZWvJuZA52SSFl2j5kIbvP54rUsxcQyUHu9tj7OpY1Feaz7CvkrNwyuZ
bdO9j9RxUEdxRFkBJcTxeCjwahMpqQF3e8lceCuxFvjD+1GhmKSdj6n+pkT7
L7Tz8ZnfNN/jVUp6Am6ft2TM8om1CZDH1Lhai2gX4EJE+WG9jnYB2seXvq7o
aRfC4MCr75qmXQiZxLJy4gPtibDrVbHq7MtIT4R09ecLqy8xQwRv20ozk0O7
COZacZ4qjXYxcrP7q0yHaBcjzCFA2XOSdgmONbYX6ztol2BDV6DnZT3tSdg4
dKtzYJT2JET2jQzrn9GeDLcaF+fKt7QnI1epbT6+THsKmL9GjX0OGtJTYJid
XyzxJGZIUVl1M6svkHYpXLh+Y6ejaJfh7pvo0Gwh7TJUt/jozqbRngpDEDd1
fy7tqXA05DjrSmmXw6KYGc+ppl0OnTMYWxto3wvrqkOAa6tm4i9L0ywS
       "]]}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6]}, {}, {}, {}}, {
     {RGBColor[0.368417, 0.506779, 0.709798], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6]}, 
     {RGBColor[0.880722, 0.611041, 0.142051], PointSize[
      0.011000000000000001`], AbsoluteThickness[1.6]}, {}, {}, {}}}, {{}, {}}},
  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
  Axes->{True, True},
  AxesLabel->{None, None},
  AxesOrigin->{0., 0},
  DisplayFunction->Identity,
  Frame->{{False, False}, {False, False}},
  FrameLabel->{{None, None}, {None, None}},
  FrameTicks->{{Automatic, Automatic}, {Automatic, Automatic}},
  GridLines->{None, None},
  GridLinesStyle->Directive[
    GrayLevel[0.5, 0.4]],
  Method->{
   "OptimizePlotMarkers" -> True, 
    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
        (Identity[#]& )[
         Part[#, 1]], 
        (Identity[#]& )[
         Part[#, 2]]}& )}},
  PlotRange->{{0., 64.}, {-1.655204112573*^7, 857321.899835}},
  PlotRangeClipping->True,
  PlotRangePadding->{{
     Scaled[0.02], 
     Scaled[0.02]}, {
     Scaled[0.05], 
     Scaled[0.05]}},
  Ticks->{Automatic, Automatic}]], "Output",
 CellChangeTimes->{3.7796998691208344`*^9, 3.784988194503076*^9, 
  3.7849886277986927`*^9, 3.784989220788183*^9},
 CellLabel->"Out[41]=",ExpressionUUID->"96361a65-d311-41a5-b251-e9f9bd1db01c"]
}, Open  ]],

Cell[CellGroupData[{

Cell[BoxData[
 RowBox[{
  RowBox[{"16", "/", "64"}], "//", "N"}]], "Input",
 CellChangeTimes->{{3.7796999517774973`*^9, 3.779699965625023*^9}},
 CellLabel->"In[12]:=",ExpressionUUID->"85d1832b-b409-4be7-b8d2-26df59eff8fb"],

Cell[BoxData["0.25`"], "Output",
 CellChangeTimes->{{3.779699954939776*^9, 3.779699966125688*^9}},
 CellLabel->"Out[12]=",ExpressionUUID->"5dbe4cc3-7c89-4c96-870e-625a9bf27876"]
}, Open  ]]
},
WindowSize->{1916, 1196},
WindowMargins->{{Automatic, -1916}, {Automatic, 0}},
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, 1783, 46, 101, "Input",ExpressionUUID->"6ca216e4-4a7b-4e5f-a718-f4e70c77d6a2"],
Cell[2344, 68, 669, 18, 59, "Input",ExpressionUUID->"f756d73a-4921-45d7-acd1-44fe21438a02"],
Cell[3016, 88, 723, 18, 31, "Input",ExpressionUUID->"c91e85b2-f90e-40d7-bf19-7a03fd9499bb"],
Cell[3742, 108, 805, 24, 31, "Input",ExpressionUUID->"1b068f0a-fa61-487d-893c-5b00f279e758"],
Cell[4550, 134, 1754, 48, 31, "Input",ExpressionUUID->"83b164e2-d1bf-4be5-bf92-d3645cb950ca"],
Cell[6307, 184, 1969, 53, 52, "Input",ExpressionUUID->"cfeba3ce-dc48-40c8-b8b8-f34cf59a253d"],
Cell[8279, 239, 713, 20, 31, "Input",ExpressionUUID->"a1830ef0-911d-442d-b5d2-b62c202fce89"],
Cell[8995, 261, 337, 7, 31, "Input",ExpressionUUID->"3b7ef50e-b362-4da3-b734-818bb17a7c2f"],
Cell[CellGroupData[{
Cell[9357, 272, 1299, 31, 39, "Input",ExpressionUUID->"73943d9b-70f3-4562-ab84-3881106d7e0c"],
Cell[10659, 305, 8153, 152, 245, "Output",ExpressionUUID->"520bf791-28f4-41af-9c2f-24068e5eb363"]
}, Open  ]],
Cell[CellGroupData[{
Cell[18849, 462, 1028, 25, 39, "Input",ExpressionUUID->"60949ea9-18bb-4b5b-868e-6a12e7d013f6"],
Cell[19880, 489, 7361, 140, 245, "Output",ExpressionUUID->"4b818f0b-341a-496c-8216-10c283d7a417"]
}, Open  ]],
Cell[27256, 632, 476, 10, 31, "Input",ExpressionUUID->"bb64ee8f-2ab2-44da-86d3-071e144df4ac"],
Cell[CellGroupData[{
Cell[27757, 646, 208, 3, 31, "Input",ExpressionUUID->"27200d6e-a8c7-4ded-bf66-0ba360a8d0c7"],
Cell[27968, 651, 2914, 63, 209, "Output",ExpressionUUID->"96361a65-d311-41a5-b251-e9f9bd1db01c"]
}, Open  ]],
Cell[CellGroupData[{
Cell[30919, 719, 222, 4, 31, "Input",ExpressionUUID->"85d1832b-b409-4be7-b8d2-26df59eff8fb"],
Cell[31144, 725, 177, 2, 35, "Output",ExpressionUUID->"5dbe4cc3-7c89-4c96-870e-625a9bf27876"]
}, Open  ]]
}
]
*)