More changes

2 files changed, 536 insertions, 507 deletions

diff --git a/fits.cpp b/fits.cpp
index d86af73..370b63d 100644
--- a/fits.cpp
+++ b/fits.cpp
@@ -22,14 +22,8 @@ inline Real basisFunctions(unsigned N, unsigned i, Real x) {
 }
 */
 
-Real legendreP(unsigned n, Real x) {
-  if (n == 0) return 1;
-  else if (n == 1) return x;
-  else return ((2 * (n - 1) + 1) * x * legendreP(n - 1, x) - (n - 1) * legendreP(n - 2, x)) / n;
-}
-
 inline Real basisFunctions(unsigned N, unsigned i, Real x) {
-  return legendreP(i, x);
+  return std::legendre(i, 0.5 * (x + 1.0));
 }
 
 /*
@@ -91,7 +85,7 @@ Vector gradientDescent(const std::list<std::tuple<Real, Real>>& data, const Vect
 
     while (
       xₜ₊₁ = xₜ - α * ∇H, Hₜ₊₁ = cost(data, xₜ₊₁),
-      Hₜ₊₁ > Hₜ - 0.5 * α * m
+      Hₜ₊₁ > Hₜ - 0.0 * α * m
     ) {
       α /= 2;
     }
diff --git a/fits.nb b/fits.nb
index 74424d5..0167b72 100644
--- a/fits.nb
+++ b/fits.nb
@@ -10,10 +10,10 @@
 NotebookFileLineBreakTest
 NotebookFileLineBreakTest
 NotebookDataPosition[       154,          7]
-NotebookDataLength[    614374,      11053]
-NotebookOptionsPosition[    609401,      10970]
-NotebookOutlinePosition[    609796,      10986]
-CellTagsIndexPosition[    609753,      10983]
+NotebookDataLength[    616789,      11088]
+NotebookOptionsPosition[    611816,      11005]
+NotebookOutlinePosition[    612211,      11021]
+CellTagsIndexPosition[    612168,      11018]
 WindowFrame->Normal*)
 
 (* Beginning of Notebook Content *)
@@ -148,7 +148,9 @@ SVrD+MoeAJ5mnOw=
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -314,7 +316,9 @@ lvmJBNXzY4gfQUAQy3FZOU4ibZx7tkVHoMTWfHhykkRNkc3ZkAEC/wE4VX0d
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -1113,7 +1117,9 @@ tOB/IhAvzw==
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -1781,7 +1787,9 @@ sZ+7+LQM7m0R/b68zNv/6nrkEXI5/A8YAMAT
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -2420,7 +2428,9 @@ tOB/IhAvzw==
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -3926,7 +3936,9 @@ gtCc5rT7Ezw40s2JlbUpg958kzMukzzIS6z5WvmmDD6fSV2rN03l49CL6QvC
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -4963,7 +4975,9 @@ lJGQGy0j/wAEu7KH
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -6410,7 +6424,9 @@ npxk4pMT1jRBMf4PNnGZww==
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -7439,7 +7455,9 @@ lJGQGy0j/wAEu7KH
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -8840,7 +8858,9 @@ QnE=
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -9802,9 +9822,9 @@ Cell[BoxData[
     "[", "\"\<~/doc/professional/presentations/2025/ictp-saifr_colloquium/\
 test.dat\>\"", "]"}]}], ";"}]], "Input",
  CellChangeTimes->{{3.9481307166422443`*^9, 3.948130754169201*^9}, {
-  3.9481309111456833`*^9, 3.948130912383401*^9}},
- CellLabel->
-  "In[888]:=",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],
+  3.9481309111456833`*^9, 3.948130912383401*^9}, {3.948174686216248*^9, 
+  3.9481746867275467`*^9}},
+ CellLabel->"In[37]:=",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],
 
 Cell[BoxData[{
  RowBox[{
@@ -9818,8 +9838,7 @@ Cell[BoxData[{
    RowBox[{"rawdat", "[", 
     RowBox[{"[", "2", "]"}], "]"}]}], ";"}]}], "Input",
  CellChangeTimes->{{3.9481307549726753`*^9, 3.9481308081074133`*^9}},
- CellLabel->
-  "In[889]:=",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],
+ CellLabel->"In[38]:=",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],
 
 Cell[CellGroupData[{
 
@@ -9838,7 +9857,10 @@ Cell[BoxData[
           RowBox[{
            RowBox[{
             RowBox[{"LegendreP", "[", 
-             RowBox[{"#", ",", "x"}], "]"}], "&"}], "/@", 
+             RowBox[{"#", ",", 
+              RowBox[{"0.5", 
+               RowBox[{"(", 
+                RowBox[{"x", "+", "1"}], ")"}]}]}], "]"}], "&"}], "/@", 
            RowBox[{"Range", "[", 
             RowBox[{"0", ",", 
              RowBox[{
@@ -9854,9 +9876,9 @@ Cell[BoxData[
   3.948137339243318*^9}, {3.948137727243544*^9, 3.948137728458662*^9}, {
   3.9481379459479103`*^9, 3.948137959780064*^9}, {3.948138000630261*^9, 
   3.948138000909213*^9}, {3.9481382718091097`*^9, 3.9481382852840242`*^9}, {
-  3.948139799384047*^9, 3.948139819863104*^9}},
- CellLabel->
-  "In[891]:=",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],
+  3.948139799384047*^9, 3.948139819863104*^9}, {3.948174624183724*^9, 
+  3.94817463099712*^9}},
+ CellLabel->"In[40]:=",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],
 
 Cell[BoxData[
  GraphicsBox[{
@@ -10001,139 +10023,143 @@ GFz2npjJ+t/3Ae7mpMdTGGZYSZLNxNSHvbYXZ0g9LljfIft7KLJNVFIm8xpT
         TagBox[
          {RGBColor[0.95, 0.627, 0.1425], AbsoluteThickness[2], Opacity[1.], 
           LineBox[CompressedData["
-1:eJwVmXk8VV0Xxw0NHhWRiEhlSIUkpdEqU0WJMpdZpkqIniQ0IBpQSZIkQyFF
-xkRtmR+ZQ8Z7r2t27z1bSWbe/f51P9/PPXvvtX6/tc7Z+5xN9pdPn+fh4uK6
-z83F9f9fvfPDTSUjJho9z8RhJ9cYLNGS8KCLq4FJqpePAuFdr2LicsS1ofJ9
-Sft6wv2Ssrf+lTeA5qRRlxWE9et+Zr8UN4b2zR/1qUUMsg+kUhalLeCG0NCG
-r4Tn9Bye2clbg4WBvn4I4dGglnK7aDsI3ZbbqEvYzHHyy2NxRzBcNfNhcQFD
-uZZEQVmcE8h6Tw5kEVaROZT1R9oVPH+H+lgSjuOxTZNLugDPdj60mpvHwMe8
-nWgq7w7NY/0vowl/ZjTXlRl7ANfSK3u2EvYwdNQ7F+0JGeaSW3LnMPTsuKv1
-UNwbuFusV+fMYoh6ta5E7qwPVB+o5dtCWE8w/eDXuKsg6jBv/mQGQz5VuxtL
-+0KzuRuXyTSGi9bW2XftrkOt4H2z9CkMm+ux8sYkPxA027dsahJD+HthBSP5
-AEjVk3a78ReDjlRy8ohzIPAHnZDOmcAQUBm7+pvxTbjv/Hs78w8GtT2KDy2i
-b8Ft2XT9reMYEtaeCrknHgR8EfopZzEGv7pn5aafg6A++aOoCYXBNJjBI3M2
-GGaMaui6HAwrJzwDi+JC4HObme8aFoZrLVHX2NJhIG25p9ZwEMOZBz35n0rC
-oN3HZ37lAAZlbfmJILt7MNcod/dbH4b+nAJPqaT78AfbJq/pxWD0pNPNQD4c
-fHUc+M91YVDUl0mTqAoHbePDvF0dRG/ei0ODzhFgmddkcrodg03hwkdkHAkD
-ap1821oxrN0aqWwe/Qj+rrmS4V+P4RZfzpYw8Sio4BbYmI8wbDv6KDTbIwoc
-9n6pifiCoTn48khXVRSoaabcsC0i9cOr+E756lNgcKonB/MxVM4nK7c0R4Mm
-30uz0Pck3/Ho3dIPnoOwTraC1HMMeTt9oo/1PYfXu14EOEdjsPY4M+m5PxZe
-6qf1pT7BkMkRLCwfjgXFz497VodjOD0cetBNJw4SDlS/9rmNIabnulbeQjwo
-utssPHbFcETSIplm8goGljs/MXAi9WqpvpTv/Su4Lmmoye2AYQPb1+G9UgIo
-vv05pn8Ow2XXPXJc3QkQ0lz/5qoBBmHHzNSUvYlQvEdIZfNODOYWrzPHfiVD
-SsSwaDumAHcZ8ydKpIDvly0CZSwKQqz5zp/RSoGSUzJWb4YoyHG4LJEflQLJ
-CpylpnQKBNwPBfupv4FS3/A4i3oKKm53WC7zfwve40PZv9MpUM0QWibJlw4x
-D6WeXbGm4D/lCts6lXSIpKldumBBge3Ha0UBFunAlGQWnTWm4GE+3aM3PR3s
-7yRWyelRMFzyvuvNyXdQp5NWaLObgvjW4x93PsmAHUa9ay/yU7Bi8da5oxsy
-oXlgeRj+wIEYVzNrRd1McErZ0i2axgHZFkVbIfdMyEoVkVBP4oBG2k+Hri+Z
-kDb+5qz9Mw4UpkXnFShnAbtMZ71jIAc4Z9jF+vVZsPeDAlprwCH3mWffr6zK
-hsOdy8MPDLJBzogaLrufCxq7MsoGudkgEXh0v/PrXMiX2lCVOc2C1e8T7vMX
-5EKUy/MRj18smOE7o2zEzIWvfPlRXQwWNJYUXKHtzYM9/oZlpxELrqvcWpga
-yIMZBe7QmussqBcUEVE+XABnElnmY6xR+Ld+H8T8KYTryxZ7XxeMgFiuEI2b
-G8G1FQPc2duHIJ+pVdtwsBQyxp+55PD0Q6nby/UW7HLY8Tj47dVwBkzIHxJ8
-f6kKAmQexeTJdQLP9LvV6+Vq4OJ86S4n+WbYs2ibf+ZDLYj853nRrqocaoPU
-6iu3NYDOKdablQvJIB3Jmk6jGkHJ2IMvwLoAsSbptFaVZqh/X3PN0uA7Sh4t
-qhEI/wG42vZJSG8rEpB6i/v7W8BsxFyDJ6oHPXDNc0qQbYOlX2zX6ckz0d/D
-7/pdAn+CcqnLG4kbA8hbtTxXtKwdRIO3r8o4Moyc1DYmPKpuB435ZoP+E8PI
-fM+N+yvr20H2ybe7a82H0YH9avY8He0QTw9otncfRjyayYIU1Q7m0eqeqbHD
-KMIoyK1CogO0jx3j6/k1jNI9tDd6e3VAKnvgQ2vsCKJ/KL/ftKkTti39bn2u
-bRQ1cpawVbd0QkjD9dRw+igqUdQ5EaXYCeqJAV6Fw6MoIb1ipZl6J+Sc0fWf
-mhlF9m8qH3af6ISL6I28pDQLDb6sjhj6txNe08SiJ8+zEOdB7ZP5uk5QWTAu
-5XBYiPZ95R/rH51g4Xzy+Pa/LFTPf9K4pL0TWMxSHrsFFvoQWidyp68Tzs1O
-8+YJsJFHUP1TvulOaFs2sLigzEZ//BqfrZHtgmHGwaF17mw069byYuv1Ljgm
-zt5lMshGxnusHikHdsE6RY876zhslME9GLIrqAv4dC7XtoyzkXXMpOeh8C7o
-Xnpaey83B32rkDhmlNgFP/J2xqev56C7G+3+XKvpgsW4PVEHTnHQmjbOiWqJ
-brgtFpHN+5GDLr6+qlkn3Q0SavVyffkcVH5xUb1ZthsmIi7YFRVz0FVeIZlu
-5W5wyhdSNK3moA4VtWms2Q0LXxKH1Ogc9Or+9RSxC90QXXGm9OkKCm0/snzB
-qagbfBtv5ndZUygr/d2W9pJuSE0NUT7oSCE1EUOj45XdsMpz6fQTVwodHIpJ
-3t7UDbRrRoFbvSlk8HCb/thgN8wUDcmzQynk1XEyxle4BzI0TWPqsyj0V/P3
-t1GxHliwLQ5OyqOQX0Y066xUD2w/rvfh8mcKBQXSNTQUemDJVdt3nDIKRct5
-DvBo9EBy4LMdN9soVOgZpfrAtQemrl7dtzBNIY2uvefm3XugOb5/n+4ChUq1
-e4LdvXsg6b8022AejGrE5DsMA3ugSMpKcoQfo+4vBYFrn/ZAueCvbbrrMeLi
-76qNL+mBksMur032Y3Q0cZPzRzEaaPTVWpV6YqQWIyBfKUmDvZmRgQXeGG0M
-n+3v3ESD4fCM2uR/MZrxbbVfokgDyctcg87+GL03CrM2O0yD5gNC3JGhGK3h
-/mUy70IDzfVLwPklWW+yR0TYnQYbeNNKaa8wYrNrfshfoUGHeruTQSJGle3J
-Rob+NJB57iQg+hYj3yzzk0mPaDDyKPU/3SyM6DYl2sc/06C6wspL6RtGtSbv
-ea0RDeSlPxXKl2H0ST+21KucBqsGytetq8Dosbr34bh6Gow/XyLZV42RjqDC
-QcykgcqR8a0SjRipLl07yztMg7T6tE0tTRhtmOX+vI5Dg9JmB6WQHxhNDXap
-a07SwOqwSmBzG0bvvkbserqCDhFnirhW9mAUk3vjd9pqOvx2Xv0whIZRULrr
-x69r6aB+eu+2aTpG1tFaO4al6cA3+PBpJRMjIffJbQfU6KB9+4U8zzBGCw79
-I6f20cF0sHzHoRGMRi2aUh016JC7SvCoxyhG5Trv5MOP0UFvf3P8VzZG/0rZ
-bO49RwcJvvWs2TGM7A1VTLvt6DCu+v3m718YGdzhvvfTiQ6nfWI8e39jJD+S
-9KvOgw4hYskOqX8wEpb0kfvPhw4mk1ccb05gNG+ga1F+nQ5V1B1k+Bejltzh
-ks9BdBA9+eJO5yRGJUOFf/LC6GDTo8l+MkXyl7iv8DGcxN/u9kFnGqPbN5Ui
-38bQIf9+pMbjGYzccxbKEl/S4e+6QyuVZjGyGGyYfJlIB7XPVaolhFVOeNlE
-ZZB8BUfCGuYwkgzUehLxkeSrfeiz/jxGy7NFqu7lk/UfjWqWEP7dPzATXESH
-OP0WGaUFjGhiBcq3Suiw6TX93GPCNXqh9jcq6OAaNc7BhPP8LaL/raGDyMJU
-m84iRglZ22q8GuiQ8aBTLIrwg77Z+UsthMuDsjoJXxOt2+naQQddriuNK7nG
-kMPx+POONDrY7/3Xm+zfkcGNy89t+ugwtOqY9mHC+zMP11kO00HqMh2MCcsz
-hbhNOUTP3XudHQkLre1TM/pNB5aswWcPwnNHc11OTBL/OFL7fAkPXw+OOzpH
-6kUhpc+f8KjpdpfXXAzwsmIWBhC2HVvDI83LAPfZliI/wm1hcy/iljIgydp/
-xJuwvszAbgk+BgzUdWu6ES4prmt4xs8Aeb+JqrOE95jmu65dxQC3OzXXjhPO
-wPG8TwQZ0ELZmOwivDns7svVwgx4k/XZSpxwzGYP9XARcr3BN5lJoodAsXnT
-CjEG/FX/2JdDOMjkyIUwcQasvms860J4mtq6dLkkA0T8it1ECbuHCr8K2sCA
-+1vndhYT/fs3ze7l2cSAvQEKRuS8gRqNay/OyzFAdyrpWSDxU5fKXeanwAAh
-WXm0jHDx3ZcJU9sYQPHMaoSQenj72b1lfAcDwiXEjrmTepE0NnP3VGXAT/6E
-pjZSX485wIfVGGAptZijTjhgo9DB0X0MENX/eYdJ6vNP4XSr80EGuNQneCoS
-djvDvDygQf7X7v3kTurZJCQniaHFgFi+G8bdpP4V2SYrfp4k+tV7VZwl/fLJ
-+AS6Z8gAhdntIWdIP2l90byicYYBTqrfj2qSfrMM39GVYs6Apr24fgmFUZjK
-P++8HRjQcaB8Qor0r8jzRWsFJwZMhzyurBsi9cf9V7jbhQG1nTjWe5DM38y8
-ruXOgDtnu0+97cNo0LtYT9iX6CuZMZFA7idePdkLFX4M2HZkNcXXTfpTJy3b
-N4ABxkMGHOdOMr9YtETvHQakJ+/kWfGTxFd4eTST7KMqTf88Hmgg681vvncy
-mdSL5EwZG5H8nMQ1uN8SvxdMnSq+YFRQL/g7N40BpiMr1j0twqj+1ZyFZCYD
-xqsm3okXkPWOtG1lFTKgMy3+bcF7km9I2H+hDQwQlN8dfPQ5iZcK9D/YTPR6
-bHnxUTRGnmZXd461MGB5QPel5icYhSo4PDfrZMCojGDZvnCM8msOusoPMED8
-9aXal7fJ80BwjK98hgGPFA+tLXbFqPnLvbvH5xkg4Ckrl+VE/L0ot6xhkQFi
-jcduxTmQ+1WNJW/nkl5Ytv7UJmsrwsEV81igF46XDq0NNsRo9Wzs7/UyvbDh
-+I4g+90YrRzS6b6i3wtHE65dtiPPx9qnDMvpk70g/6T8te0EhR5o+3UEGPaC
-Uaz4QfNfFFqRmNUWZtIL193aMlRGKMRvtb7plU0vzHlVx4a0U4jvx1jF9yu9
-MFMjHllFntdL0ItMmbheyN5wNyDFjUKdB7WP0eN7wTye2/j4eQplfmYzYl/3
-AteXSOd+GwpZ5h8SFn7bC32+W09xmVDo43u6N1d2LxQY+Z1o0KCQdZzM/p6q
-XpjKe+X6fTWFPvm+K48e74WEeCGeYx84KHzyjNXpv72Q7L2loe0tBzn4zE2s
-mu6Fe1m8QlavOUjA8+SW4IVeSBl+MHMqioPOu+CwK/8wwbak63mDLwcJm+06
-ZSjNhIllBoXqWhx0Qa2o4x99JryUdfArbGCjksbWjE8nmeBitey7VTUbrb00
-FuhsyASl1hrJmRI2Qily8hUmTPCGiXqJbDZaIxbpddOWCUEC82/nnrBR0bTj
-ikkfJsz982CptikbrUACh/oTmNBnvzN1rIWF3h23T/j6lwkmG6L8NYtGkZri
-Jg2YZkL/o66Nz7NH0VcBRheaZcJpv0yjkTSy3/1hJfaNqw+u21xwvBoziv5Y
-WYSX8feBR/OjMC2fUaThZXijekMfuM6lZr9TItfHapg36/ZB24tnTaXPR9AE
-S2L1YHQfcK+Pr7lvM4zyzhzljdLuh+r2bPtRpwEUeCz4Ve5gP4ztmNZYeZyJ
-NvXotScFD8C6Erpc2EgP2q8eFCWuOgiWzYdxrEobOrehYZr7xyCknnhgn6Fd
-hyZqHjI9bg1B0H5apFXNJxSzxNr7tOwwqARw/NtvxsEaWl4iT/kwlG2/43Ju
-Sxks9b9lvM9zBEI1vif97GkCrjTrTKbwKGi4JfJ3nO4Ar9jMh8KloxD3M2dj
-Aun7L9tD+YTcWaCRsYNG/90HQnpeircF2BDucfbAV/ogdCs1/vAtZoN/6sEI
-79QReMUS8udFbBhV2aaxLHsE7NPOyD/8xoYtd5nPHxWNwIjsz2sJlWwQTGKe
-fFo/An/X06SqGtlwuCfNwfDPCAjxs51FBtiQEGEl/0RjFHQHl899WMUBTd0D
-2vvrRyErHmT7rTlwsY528UEHC8avjy+3s+OA+5EOlkEvC/aYvWX1OHBAOWtr
-Nf8IC4oEBXN+unBgf2F0pPsUCypv0o589+JAL5fNlkFRNnTZ+9tkh3BAW68g
-5clpNizbUhR7k5yLc7+60TvK2XCc93LAfBYHbonzbCr/zoYH9M3213M4oPR9
-5c23zWwQirm31fsTB47u+RJuwWCD5D+Wn5xLyTm6+PYnt1k2qLKmWg3aOGDp
-rRUJKhywytwjJLXAgforr4TfRHEg33JKoJGLgp0FrWa7XnBAYNnnlXd4Kchy
-3Hjg02sOlJw7xDfCR0GsbExzKolrM7/2Yu4aCg7XNvHKVXNg0NGIc2IrBTEB
-2OXuNNFB4uJ/N4wpKK9sh34TCiorlKp2mFGQvtn0h+1ZCqQ9cTnTgoxfsry4
-xZaCxiqvkmM2FPC1bwlKvECBqo9vgYgbBerD0R9bb1Iw2RCSkhFIgemZe09j
-0ii4Gfz6Vnc6Bdm8tFO3/lCw6t/lenbvKZhZmun/fIrE6XJJeDCTgia9031p
-cxTk6O9LwrlkXjXlUzlLMAwKNZXzIAp0dZR8XUQw6Mdz8W39QcGBSMdnlqoY
-2iOcGt+3knk2c7wndmNwvFUbo9pOAcWccg/dhyHAMWbrwR4KVAJbP0YfxpC1
-TUX/1BAFy4wstYwNMIgW2IT7zFIQH3FX8rQLhqTUCtOZeQok+5dPXbqAQSV2
-u3QgF5m3Qbb1ljuG4/6TmaFLMcQ9Cnn4yBvDDa2IpheCGI7t2FdteBMDs+Gr
-SKkM4bpPYyeiMVz+JtujK4/h7C+1DcMxGOay76V8V8DQI5Sn6vcCw9po0z2t
-Shjs18vwhyWQcecos2F1DOckL2lrpWN4Pyz1QuAEhs0vfnmrFGMIfRlsSyNx
-f6i+u+vuVxLXaY7cByMMtX2VhT9KMEgWF2edNMMgkisqYlCB4V7E2coH9uRX
-vRdV1WFw0i67f+48hi1uiX61DRg0p7cZKZK8T00VsSubMEzbz3R9v4Sh9Frj
-QFwrBpc9z3/x+2K4Xek8XtuNQZvFVdDph0HQp0U8kIZBOsHlRnoAhgWe433y
-DAxt/+xdrhdE8vglbWrWhyH766ta8bsY1otyZuj9GMKvLH88EkZ0evFsn/Ug
-Bp2eNsmwCAyqYeZ+B0YwbHyswTR/jKHMuN03dpTopfvmrcJTMu4I3z+YhSE3
-y0e1OhbD8I9jjdcookuQyLHlbzBMXRv7JjBO4th7Y9XPVOLP5eilEn8wdHD6
-mt+8I3kMBldJTGCINMux0v1Ixvcv/zL3F8PFletlRHMxvCmdY/VMkri/3R4e
-yMdQWL4YkTuFYXHb6SvBRPdYuzElzRkMnfTCvSYIk/PHQZnp/78fjtq0IFuK
-Yd0rk6CUWQyPj4eV/SnHUJI6bHB0DoP7wlhoeRUGpf6kmzTCejnmBlE1GJrj
-1MQuzGOQcylZ40h8iXt6dDWHMJeUQseuRgzxS8JcHRcwdDdFxPP+IH0Qnryx
-ifCnkEmHH8SXddo6u3YtYog6YLM1qR2DRuzaV/cIe4xVUl5dGFxdkd1Pwvop
-yrmaxKfEcZ9icj4AectoX+FeDN5Nmzz//36fR3BBg0l8Uj5cUKdBmFZ2fkk2
-8UWi85+mU4Q/X6v77xbx5TGd7Uv25xCttDvCiI2hXm1XlR1hT2ac8SZM9LPJ
-LLAnfOLZEolfvzBYBu/SsyascOIivYT4oO/yyN/4/98XuFuSI4nOX8/HGuoQ
-ZuQdcLMlOr68Il2qQrjYLWmHCtFBecOvRlHCz6RXTCySPIJWoMn/f1/4H45b
-Sqs=
+1:eJwVl3k8lF0Ux0eLUNZIliJbSJK8WjkKRfFmzVIhWiTZkpJiKhIJlSQpKipt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            "]]},
          Annotation[#, "Charting`Private`Tag#2"]& ]}, {}},
       {"WolframDynamicHighlight", <|
@@ -10288,146 +10314,150 @@ GFz2npjJ+t/3Ae7mpMdTGGZYSZLNxNSHvbYXZ0g9LljfIft7KLJNVFIm8xpT
                RGBColor[0.95, 0.627, 0.1425], 
                AbsoluteThickness[2]], 
               Line[CompressedData["
-1:eJwVmXk8VV0Xxw0NHhWRiEhlSIUkpdEqU0WJMpdZpkqIniQ0IBpQSZIkQyFF
-xkRtmR+ZQ8Z7r2t27z1bSWbe/f51P9/PPXvvtX6/tc7Z+5xN9pdPn+fh4uK6
-z83F9f9fvfPDTSUjJho9z8RhJ9cYLNGS8KCLq4FJqpePAuFdr2LicsS1ofJ9
-Sft6wv2Ssrf+lTeA5qRRlxWE9et+Zr8UN4b2zR/1qUUMsg+kUhalLeCG0NCG
-r4Tn9Bye2clbg4WBvn4I4dGglnK7aDsI3ZbbqEvYzHHyy2NxRzBcNfNhcQFD
-uZZEQVmcE8h6Tw5kEVaROZT1R9oVPH+H+lgSjuOxTZNLugDPdj60mpvHwMe8
-nWgq7w7NY/0vowl/ZjTXlRl7ANfSK3u2EvYwdNQ7F+0JGeaSW3LnMPTsuKv1
-UNwbuFusV+fMYoh6ta5E7qwPVB+o5dtCWE8w/eDXuKsg6jBv/mQGQz5VuxtL
-+0KzuRuXyTSGi9bW2XftrkOt4H2z9CkMm+ux8sYkPxA027dsahJD+HthBSP5
-AEjVk3a78ReDjlRy8ohzIPAHnZDOmcAQUBm7+pvxTbjv/Hs78w8GtT2KDy2i
-b8Ft2XT9reMYEtaeCrknHgR8EfopZzEGv7pn5aafg6A++aOoCYXBNJjBI3M2
-GGaMaui6HAwrJzwDi+JC4HObme8aFoZrLVHX2NJhIG25p9ZwEMOZBz35n0rC
-oN3HZ37lAAZlbfmJILt7MNcod/dbH4b+nAJPqaT78AfbJq/pxWD0pNPNQD4c
-fHUc+M91YVDUl0mTqAoHbePDvF0dRG/ei0ODzhFgmddkcrodg03hwkdkHAkD
-ap1821oxrN0aqWwe/Qj+rrmS4V+P4RZfzpYw8Sio4BbYmI8wbDv6KDTbIwoc
-9n6pifiCoTn48khXVRSoaabcsC0i9cOr+E756lNgcKonB/MxVM4nK7c0R4Mm
-30uz0Pck3/Ho3dIPnoOwTraC1HMMeTt9oo/1PYfXu14EOEdjsPY4M+m5PxZe
-6qf1pT7BkMkRLCwfjgXFz497VodjOD0cetBNJw4SDlS/9rmNIabnulbeQjwo
-utssPHbFcETSIplm8goGljs/MXAi9WqpvpTv/Su4Lmmoye2AYQPb1+G9UgIo
-vv05pn8Ow2XXPXJc3QkQ0lz/5qoBBmHHzNSUvYlQvEdIZfNODOYWrzPHfiVD
-SsSwaDumAHcZ8ydKpIDvly0CZSwKQqz5zp/RSoGSUzJWb4YoyHG4LJEflQLJ
-CpylpnQKBNwPBfupv4FS3/A4i3oKKm53WC7zfwve40PZv9MpUM0QWibJlw4x
-D6WeXbGm4D/lCts6lXSIpKldumBBge3Ha0UBFunAlGQWnTWm4GE+3aM3PR3s
-7yRWyelRMFzyvuvNyXdQp5NWaLObgvjW4x93PsmAHUa9ay/yU7Bi8da5oxsy
-oXlgeRj+wIEYVzNrRd1McErZ0i2axgHZFkVbIfdMyEoVkVBP4oBG2k+Hri+Z
-kDb+5qz9Mw4UpkXnFShnAbtMZ71jIAc4Z9jF+vVZsPeDAlprwCH3mWffr6zK
-hsOdy8MPDLJBzogaLrufCxq7MsoGudkgEXh0v/PrXMiX2lCVOc2C1e8T7vMX
-5EKUy/MRj18smOE7o2zEzIWvfPlRXQwWNJYUXKHtzYM9/oZlpxELrqvcWpga
-yIMZBe7QmussqBcUEVE+XABnElnmY6xR+Ld+H8T8KYTryxZ7XxeMgFiuEI2b
-G8G1FQPc2duHIJ+pVdtwsBQyxp+55PD0Q6nby/UW7HLY8Tj47dVwBkzIHxJ8
-f6kKAmQexeTJdQLP9LvV6+Vq4OJ86S4n+WbYs2ibf+ZDLYj853nRrqocaoPU
-6iu3NYDOKdablQvJIB3Jmk6jGkHJ2IMvwLoAsSbptFaVZqh/X3PN0uA7Sh4t
-qhEI/wG42vZJSG8rEpB6i/v7W8BsxFyDJ6oHPXDNc0qQbYOlX2zX6ckz0d/D
-7/pdAn+CcqnLG4kbA8hbtTxXtKwdRIO3r8o4Moyc1DYmPKpuB435ZoP+E8PI
-fM+N+yvr20H2ybe7a82H0YH9avY8He0QTw9otncfRjyayYIU1Q7m0eqeqbHD
-KMIoyK1CogO0jx3j6/k1jNI9tDd6e3VAKnvgQ2vsCKJ/KL/ftKkTti39bn2u
-bRQ1cpawVbd0QkjD9dRw+igqUdQ5EaXYCeqJAV6Fw6MoIb1ipZl6J+Sc0fWf
-mhlF9m8qH3af6ISL6I28pDQLDb6sjhj6txNe08SiJ8+zEOdB7ZP5uk5QWTAu
-5XBYiPZ95R/rH51g4Xzy+Pa/LFTPf9K4pL0TWMxSHrsFFvoQWidyp68Tzs1O
-8+YJsJFHUP1TvulOaFs2sLigzEZ//BqfrZHtgmHGwaF17mw069byYuv1Ljgm
-zt5lMshGxnusHikHdsE6RY876zhslME9GLIrqAv4dC7XtoyzkXXMpOeh8C7o
-Xnpaey83B32rkDhmlNgFP/J2xqev56C7G+3+XKvpgsW4PVEHTnHQmjbOiWqJ
-brgtFpHN+5GDLr6+qlkn3Q0SavVyffkcVH5xUb1ZthsmIi7YFRVz0FVeIZlu
-5W5wyhdSNK3moA4VtWms2Q0LXxKH1Ogc9Or+9RSxC90QXXGm9OkKCm0/snzB
-qagbfBtv5ndZUygr/d2W9pJuSE0NUT7oSCE1EUOj45XdsMpz6fQTVwodHIpJ
-3t7UDbRrRoFbvSlk8HCb/thgN8wUDcmzQynk1XEyxle4BzI0TWPqsyj0V/P3
-t1GxHliwLQ5OyqOQX0Y066xUD2w/rvfh8mcKBQXSNTQUemDJVdt3nDIKRct5
-DvBo9EBy4LMdN9soVOgZpfrAtQemrl7dtzBNIY2uvefm3XugOb5/n+4ChUq1
-e4LdvXsg6b8022AejGrE5DsMA3ugSMpKcoQfo+4vBYFrn/ZAueCvbbrrMeLi
-76qNL+mBksMur032Y3Q0cZPzRzEaaPTVWpV6YqQWIyBfKUmDvZmRgQXeGG0M
-n+3v3ESD4fCM2uR/MZrxbbVfokgDyctcg87+GL03CrM2O0yD5gNC3JGhGK3h
-/mUy70IDzfVLwPklWW+yR0TYnQYbeNNKaa8wYrNrfshfoUGHeruTQSJGle3J
-Rob+NJB57iQg+hYj3yzzk0mPaDDyKPU/3SyM6DYl2sc/06C6wspL6RtGtSbv
-ea0RDeSlPxXKl2H0ST+21KucBqsGytetq8Dosbr34bh6Gow/XyLZV42RjqDC
-QcykgcqR8a0SjRipLl07yztMg7T6tE0tTRhtmOX+vI5Dg9JmB6WQHxhNDXap
-a07SwOqwSmBzG0bvvkbserqCDhFnirhW9mAUk3vjd9pqOvx2Xv0whIZRULrr
-x69r6aB+eu+2aTpG1tFaO4al6cA3+PBpJRMjIffJbQfU6KB9+4U8zzBGCw79
-I6f20cF0sHzHoRGMRi2aUh016JC7SvCoxyhG5Trv5MOP0UFvf3P8VzZG/0rZ
-bO49RwcJvvWs2TGM7A1VTLvt6DCu+v3m718YGdzhvvfTiQ6nfWI8e39jJD+S
-9KvOgw4hYskOqX8wEpb0kfvPhw4mk1ccb05gNG+ga1F+nQ5V1B1k+Bejltzh
-ks9BdBA9+eJO5yRGJUOFf/LC6GDTo8l+MkXyl7iv8DGcxN/u9kFnGqPbN5Ui
-38bQIf9+pMbjGYzccxbKEl/S4e+6QyuVZjGyGGyYfJlIB7XPVaolhFVOeNlE
-ZZB8BUfCGuYwkgzUehLxkeSrfeiz/jxGy7NFqu7lk/UfjWqWEP7dPzATXESH
-OP0WGaUFjGhiBcq3Suiw6TX93GPCNXqh9jcq6OAaNc7BhPP8LaL/raGDyMJU
-m84iRglZ22q8GuiQ8aBTLIrwg77Z+UsthMuDsjoJXxOt2+naQQddriuNK7nG
-kMPx+POONDrY7/3Xm+zfkcGNy89t+ugwtOqY9mHC+zMP11kO00HqMh2MCcsz
-hbhNOUTP3XudHQkLre1TM/pNB5aswWcPwnNHc11OTBL/OFL7fAkPXw+OOzpH
-6kUhpc+f8KjpdpfXXAzwsmIWBhC2HVvDI83LAPfZliI/wm1hcy/iljIgydp/
-xJuwvszAbgk+BgzUdWu6ES4prmt4xs8Aeb+JqrOE95jmu65dxQC3OzXXjhPO
-wPG8TwQZ0ELZmOwivDns7svVwgx4k/XZSpxwzGYP9XARcr3BN5lJoodAsXnT
-CjEG/FX/2JdDOMjkyIUwcQasvms860J4mtq6dLkkA0T8it1ECbuHCr8K2sCA
-+1vndhYT/fs3ze7l2cSAvQEKRuS8gRqNay/OyzFAdyrpWSDxU5fKXeanwAAh
-WXm0jHDx3ZcJU9sYQPHMaoSQenj72b1lfAcDwiXEjrmTepE0NnP3VGXAT/6E
-pjZSX485wIfVGGAptZijTjhgo9DB0X0MENX/eYdJ6vNP4XSr80EGuNQneCoS
-djvDvDygQf7X7v3kTurZJCQniaHFgFi+G8bdpP4V2SYrfp4k+tV7VZwl/fLJ
-+AS6Z8gAhdntIWdIP2l90byicYYBTqrfj2qSfrMM39GVYs6Apr24fgmFUZjK
-P++8HRjQcaB8Qor0r8jzRWsFJwZMhzyurBsi9cf9V7jbhQG1nTjWe5DM38y8
-ruXOgDtnu0+97cNo0LtYT9iX6CuZMZFA7idePdkLFX4M2HZkNcXXTfpTJy3b
-N4ABxkMGHOdOMr9YtETvHQakJ+/kWfGTxFd4eTST7KMqTf88Hmgg681vvncy
-mdSL5EwZG5H8nMQ1uN8SvxdMnSq+YFRQL/g7N40BpiMr1j0twqj+1ZyFZCYD
-xqsm3okXkPWOtG1lFTKgMy3+bcF7km9I2H+hDQwQlN8dfPQ5iZcK9D/YTPR6
-bHnxUTRGnmZXd461MGB5QPel5icYhSo4PDfrZMCojGDZvnCM8msOusoPMED8
-9aXal7fJ80BwjK98hgGPFA+tLXbFqPnLvbvH5xkg4Ckrl+VE/L0ot6xhkQFi
-jcduxTmQ+1WNJW/nkl5Ytv7UJmsrwsEV81igF46XDq0NNsRo9Wzs7/UyvbDh
-+I4g+90YrRzS6b6i3wtHE65dtiPPx9qnDMvpk70g/6T8te0EhR5o+3UEGPaC
-Uaz4QfNfFFqRmNUWZtIL193aMlRGKMRvtb7plU0vzHlVx4a0U4jvx1jF9yu9
-MFMjHllFntdL0ItMmbheyN5wNyDFjUKdB7WP0eN7wTye2/j4eQplfmYzYl/3
-AteXSOd+GwpZ5h8SFn7bC32+W09xmVDo43u6N1d2LxQY+Z1o0KCQdZzM/p6q
-XpjKe+X6fTWFPvm+K48e74WEeCGeYx84KHzyjNXpv72Q7L2loe0tBzn4zE2s
-mu6Fe1m8QlavOUjA8+SW4IVeSBl+MHMqioPOu+CwK/8wwbak63mDLwcJm+06
-ZSjNhIllBoXqWhx0Qa2o4x99JryUdfArbGCjksbWjE8nmeBitey7VTUbrb00
-FuhsyASl1hrJmRI2Qily8hUmTPCGiXqJbDZaIxbpddOWCUEC82/nnrBR0bTj
-ikkfJsz982CptikbrUACh/oTmNBnvzN1rIWF3h23T/j6lwkmG6L8NYtGkZri
-Jg2YZkL/o66Nz7NH0VcBRheaZcJpv0yjkTSy3/1hJfaNqw+u21xwvBoziv5Y
-WYSX8feBR/OjMC2fUaThZXijekMfuM6lZr9TItfHapg36/ZB24tnTaXPR9AE
-S2L1YHQfcK+Pr7lvM4zyzhzljdLuh+r2bPtRpwEUeCz4Ve5gP4ztmNZYeZyJ
-NvXotScFD8C6Erpc2EgP2q8eFCWuOgiWzYdxrEobOrehYZr7xyCknnhgn6Fd
-hyZqHjI9bg1B0H5apFXNJxSzxNr7tOwwqARw/NtvxsEaWl4iT/kwlG2/43Ju
-Sxks9b9lvM9zBEI1vif97GkCrjTrTKbwKGi4JfJ3nO4Ar9jMh8KloxD3M2dj
-Aun7L9tD+YTcWaCRsYNG/90HQnpeircF2BDucfbAV/ogdCs1/vAtZoN/6sEI
-79QReMUS8udFbBhV2aaxLHsE7NPOyD/8xoYtd5nPHxWNwIjsz2sJlWwQTGKe
-fFo/An/X06SqGtlwuCfNwfDPCAjxs51FBtiQEGEl/0RjFHQHl899WMUBTd0D
-2vvrRyErHmT7rTlwsY528UEHC8avjy+3s+OA+5EOlkEvC/aYvWX1OHBAOWtr
-Nf8IC4oEBXN+unBgf2F0pPsUCypv0o589+JAL5fNlkFRNnTZ+9tkh3BAW68g
-5clpNizbUhR7k5yLc7+60TvK2XCc93LAfBYHbonzbCr/zoYH9M3213M4oPR9
-5c23zWwQirm31fsTB47u+RJuwWCD5D+Wn5xLyTm6+PYnt1k2qLKmWg3aOGDp
-rRUJKhywytwjJLXAgforr4TfRHEg33JKoJGLgp0FrWa7XnBAYNnnlXd4Kchy
-3Hjg02sOlJw7xDfCR0GsbExzKolrM7/2Yu4aCg7XNvHKVXNg0NGIc2IrBTEB
-2OXuNNFB4uJ/N4wpKK9sh34TCiorlKp2mFGQvtn0h+1ZCqQ9cTnTgoxfsry4
-xZaCxiqvkmM2FPC1bwlKvECBqo9vgYgbBerD0R9bb1Iw2RCSkhFIgemZe09j
-0ii4Gfz6Vnc6Bdm8tFO3/lCw6t/lenbvKZhZmun/fIrE6XJJeDCTgia9031p
-cxTk6O9LwrlkXjXlUzlLMAwKNZXzIAp0dZR8XUQw6Mdz8W39QcGBSMdnlqoY
-2iOcGt+3knk2c7wndmNwvFUbo9pOAcWccg/dhyHAMWbrwR4KVAJbP0YfxpC1
-TUX/1BAFy4wstYwNMIgW2IT7zFIQH3FX8rQLhqTUCtOZeQok+5dPXbqAQSV2
-u3QgF5m3Qbb1ljuG4/6TmaFLMcQ9Cnn4yBvDDa2IpheCGI7t2FdteBMDs+Gr
-SKkM4bpPYyeiMVz+JtujK4/h7C+1DcMxGOay76V8V8DQI5Sn6vcCw9po0z2t
-Shjs18vwhyWQcecos2F1DOckL2lrpWN4Pyz1QuAEhs0vfnmrFGMIfRlsSyNx
-f6i+u+vuVxLXaY7cByMMtX2VhT9KMEgWF2edNMMgkisqYlCB4V7E2coH9uRX
-vRdV1WFw0i67f+48hi1uiX61DRg0p7cZKZK8T00VsSubMEzbz3R9v4Sh9Frj
-QFwrBpc9z3/x+2K4Xek8XtuNQZvFVdDph0HQp0U8kIZBOsHlRnoAhgWe433y
-DAxt/+xdrhdE8vglbWrWhyH766ta8bsY1otyZuj9GMKvLH88EkZ0evFsn/Ug
-Bp2eNsmwCAyqYeZ+B0YwbHyswTR/jKHMuN03dpTopfvmrcJTMu4I3z+YhSE3
-y0e1OhbD8I9jjdcookuQyLHlbzBMXRv7JjBO4th7Y9XPVOLP5eilEn8wdHD6
-mt+8I3kMBldJTGCINMux0v1Ixvcv/zL3F8PFletlRHMxvCmdY/VMkri/3R4e
-yMdQWL4YkTuFYXHb6SvBRPdYuzElzRkMnfTCvSYIk/PHQZnp/78fjtq0IFuK
-Yd0rk6CUWQyPj4eV/SnHUJI6bHB0DoP7wlhoeRUGpf6kmzTCejnmBlE1GJrj
-1MQuzGOQcylZ40h8iXt6dDWHMJeUQseuRgzxS8JcHRcwdDdFxPP+IH0Qnryx
-ifCnkEmHH8SXddo6u3YtYog6YLM1qR2DRuzaV/cIe4xVUl5dGFxdkd1Pwvop
-yrmaxKfEcZ9icj4AectoX+FeDN5Nmzz//36fR3BBg0l8Uj5cUKdBmFZ2fkk2
-8UWi85+mU4Q/X6v77xbx5TGd7Uv25xCttDvCiI2hXm1XlR1hT2ac8SZM9LPJ
-LLAnfOLZEolfvzBYBu/SsyascOIivYT4oO/yyN/4/98XuFuSI4nOX8/HGuoQ
-ZuQdcLMlOr68Il2qQrjYLWmHCtFBecOvRlHCz6RXTCySPIJWoMn/f1/4H45b
-Sqs=
+1:eJwVl3k8lF0Ux0eLUNZIliJbSJK8WjkKRfFmzVIhWiTZkpJiKhIJlSQpKipt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                "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
          "HighlightElements" -> <|
            "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
-            "PlotRange" -> {{0, 1}, {-1.000120855436617, 
-              1.0000941443631546`}}, 
+            "PlotRange" -> {{0, 1}, {-0.9999998830731719, 
+              1.0631654739186551`}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
@@ -10455,8 +10485,9 @@ Sqs=
           "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
          "LayoutOptions" -> <|
           "PanelPlotLayout" -> <||>, 
-           "PlotRange" -> {{0, 1}, {-1.000120855436617, 1.0000941443631546`}},
-            "Frame" -> {{False, False}, {False, False}}, 
+           "PlotRange" -> {{0, 1}, {-0.9999998830731719, 
+             1.0631654739186551`}}, 
+           "Frame" -> {{False, False}, {False, False}}, 
            "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
            "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
            GoldenRatio^(-1), "DefaultStyle" -> {
@@ -10478,7 +10509,9 @@ Sqs=
            False|>, 
          "Meta" -> <|
           "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-           Plot, "GroupHighlight" -> False|>|>]],
+           Plot, "GroupHighlight" -> False|>|>],
+       ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+        4.503599627370496*^15, -4.503599627370496*^15}}],
       Selectable->False]},
     Annotation[{{{{}, {}, 
         Annotation[{
@@ -10625,145 +10658,149 @@ GFz2npjJ+t/3Ae7mpMdTGGZYSZLNxNSHvbYXZ0g9LljfIft7KLJNVFIm8xpT
            RGBColor[0.95, 0.627, 0.1425], 
            AbsoluteThickness[2]], 
           Line[CompressedData["
-1:eJwVmXk8VV0Xxw0NHhWRiEhlSIUkpdEqU0WJMpdZpkqIniQ0IBpQSZIkQyFF
-xkRtmR+ZQ8Z7r2t27z1bSWbe/f51P9/PPXvvtX6/tc7Z+5xN9pdPn+fh4uK6
-z83F9f9fvfPDTSUjJho9z8RhJ9cYLNGS8KCLq4FJqpePAuFdr2LicsS1ofJ9
-Sft6wv2Ssrf+lTeA5qRRlxWE9et+Zr8UN4b2zR/1qUUMsg+kUhalLeCG0NCG
-r4Tn9Bye2clbg4WBvn4I4dGglnK7aDsI3ZbbqEvYzHHyy2NxRzBcNfNhcQFD
-uZZEQVmcE8h6Tw5kEVaROZT1R9oVPH+H+lgSjuOxTZNLugDPdj60mpvHwMe8
-nWgq7w7NY/0vowl/ZjTXlRl7ANfSK3u2EvYwdNQ7F+0JGeaSW3LnMPTsuKv1
-UNwbuFusV+fMYoh6ta5E7qwPVB+o5dtCWE8w/eDXuKsg6jBv/mQGQz5VuxtL
-+0KzuRuXyTSGi9bW2XftrkOt4H2z9CkMm+ux8sYkPxA027dsahJD+HthBSP5
-AEjVk3a78ReDjlRy8ohzIPAHnZDOmcAQUBm7+pvxTbjv/Hs78w8GtT2KDy2i
-b8Ft2XT9reMYEtaeCrknHgR8EfopZzEGv7pn5aafg6A++aOoCYXBNJjBI3M2
-GGaMaui6HAwrJzwDi+JC4HObme8aFoZrLVHX2NJhIG25p9ZwEMOZBz35n0rC
-oN3HZ37lAAZlbfmJILt7MNcod/dbH4b+nAJPqaT78AfbJq/pxWD0pNPNQD4c
-fHUc+M91YVDUl0mTqAoHbePDvF0dRG/ei0ODzhFgmddkcrodg03hwkdkHAkD
-ap1821oxrN0aqWwe/Qj+rrmS4V+P4RZfzpYw8Sio4BbYmI8wbDv6KDTbIwoc
-9n6pifiCoTn48khXVRSoaabcsC0i9cOr+E756lNgcKonB/MxVM4nK7c0R4Mm
-30uz0Pck3/Ho3dIPnoOwTraC1HMMeTt9oo/1PYfXu14EOEdjsPY4M+m5PxZe
-6qf1pT7BkMkRLCwfjgXFz497VodjOD0cetBNJw4SDlS/9rmNIabnulbeQjwo
-utssPHbFcETSIplm8goGljs/MXAi9WqpvpTv/Su4Lmmoye2AYQPb1+G9UgIo
-vv05pn8Ow2XXPXJc3QkQ0lz/5qoBBmHHzNSUvYlQvEdIZfNODOYWrzPHfiVD
-SsSwaDumAHcZ8ydKpIDvly0CZSwKQqz5zp/RSoGSUzJWb4YoyHG4LJEflQLJ
-CpylpnQKBNwPBfupv4FS3/A4i3oKKm53WC7zfwve40PZv9MpUM0QWibJlw4x
-D6WeXbGm4D/lCts6lXSIpKldumBBge3Ha0UBFunAlGQWnTWm4GE+3aM3PR3s
-7yRWyelRMFzyvuvNyXdQp5NWaLObgvjW4x93PsmAHUa9ay/yU7Bi8da5oxsy
-oXlgeRj+wIEYVzNrRd1McErZ0i2axgHZFkVbIfdMyEoVkVBP4oBG2k+Hri+Z
-kDb+5qz9Mw4UpkXnFShnAbtMZ71jIAc4Z9jF+vVZsPeDAlprwCH3mWffr6zK
-hsOdy8MPDLJBzogaLrufCxq7MsoGudkgEXh0v/PrXMiX2lCVOc2C1e8T7vMX
-5EKUy/MRj18smOE7o2zEzIWvfPlRXQwWNJYUXKHtzYM9/oZlpxELrqvcWpga
-yIMZBe7QmussqBcUEVE+XABnElnmY6xR+Ld+H8T8KYTryxZ7XxeMgFiuEI2b
-G8G1FQPc2duHIJ+pVdtwsBQyxp+55PD0Q6nby/UW7HLY8Tj47dVwBkzIHxJ8
-f6kKAmQexeTJdQLP9LvV6+Vq4OJ86S4n+WbYs2ibf+ZDLYj853nRrqocaoPU
-6iu3NYDOKdablQvJIB3Jmk6jGkHJ2IMvwLoAsSbptFaVZqh/X3PN0uA7Sh4t
-qhEI/wG42vZJSG8rEpB6i/v7W8BsxFyDJ6oHPXDNc0qQbYOlX2zX6ckz0d/D
-7/pdAn+CcqnLG4kbA8hbtTxXtKwdRIO3r8o4Moyc1DYmPKpuB435ZoP+E8PI
-fM+N+yvr20H2ybe7a82H0YH9avY8He0QTw9otncfRjyayYIU1Q7m0eqeqbHD
-KMIoyK1CogO0jx3j6/k1jNI9tDd6e3VAKnvgQ2vsCKJ/KL/ftKkTti39bn2u
-bRQ1cpawVbd0QkjD9dRw+igqUdQ5EaXYCeqJAV6Fw6MoIb1ipZl6J+Sc0fWf
-mhlF9m8qH3af6ISL6I28pDQLDb6sjhj6txNe08SiJ8+zEOdB7ZP5uk5QWTAu
-5XBYiPZ95R/rH51g4Xzy+Pa/LFTPf9K4pL0TWMxSHrsFFvoQWidyp68Tzs1O
-8+YJsJFHUP1TvulOaFs2sLigzEZ//BqfrZHtgmHGwaF17mw069byYuv1Ljgm
-zt5lMshGxnusHikHdsE6RY876zhslME9GLIrqAv4dC7XtoyzkXXMpOeh8C7o
-Xnpaey83B32rkDhmlNgFP/J2xqev56C7G+3+XKvpgsW4PVEHTnHQmjbOiWqJ
-brgtFpHN+5GDLr6+qlkn3Q0SavVyffkcVH5xUb1ZthsmIi7YFRVz0FVeIZlu
-5W5wyhdSNK3moA4VtWms2Q0LXxKH1Ogc9Or+9RSxC90QXXGm9OkKCm0/snzB
-qagbfBtv5ndZUygr/d2W9pJuSE0NUT7oSCE1EUOj45XdsMpz6fQTVwodHIpJ
-3t7UDbRrRoFbvSlk8HCb/thgN8wUDcmzQynk1XEyxle4BzI0TWPqsyj0V/P3
-t1GxHliwLQ5OyqOQX0Y066xUD2w/rvfh8mcKBQXSNTQUemDJVdt3nDIKRct5
-DvBo9EBy4LMdN9soVOgZpfrAtQemrl7dtzBNIY2uvefm3XugOb5/n+4ChUq1
-e4LdvXsg6b8022AejGrE5DsMA3ugSMpKcoQfo+4vBYFrn/ZAueCvbbrrMeLi
-76qNL+mBksMur032Y3Q0cZPzRzEaaPTVWpV6YqQWIyBfKUmDvZmRgQXeGG0M
-n+3v3ESD4fCM2uR/MZrxbbVfokgDyctcg87+GL03CrM2O0yD5gNC3JGhGK3h
-/mUy70IDzfVLwPklWW+yR0TYnQYbeNNKaa8wYrNrfshfoUGHeruTQSJGle3J
-Rob+NJB57iQg+hYj3yzzk0mPaDDyKPU/3SyM6DYl2sc/06C6wspL6RtGtSbv
-ea0RDeSlPxXKl2H0ST+21KucBqsGytetq8Dosbr34bh6Gow/XyLZV42RjqDC
-QcykgcqR8a0SjRipLl07yztMg7T6tE0tTRhtmOX+vI5Dg9JmB6WQHxhNDXap
-a07SwOqwSmBzG0bvvkbserqCDhFnirhW9mAUk3vjd9pqOvx2Xv0whIZRULrr
-x69r6aB+eu+2aTpG1tFaO4al6cA3+PBpJRMjIffJbQfU6KB9+4U8zzBGCw79
-I6f20cF0sHzHoRGMRi2aUh016JC7SvCoxyhG5Trv5MOP0UFvf3P8VzZG/0rZ
-bO49RwcJvvWs2TGM7A1VTLvt6DCu+v3m718YGdzhvvfTiQ6nfWI8e39jJD+S
-9KvOgw4hYskOqX8wEpb0kfvPhw4mk1ccb05gNG+ga1F+nQ5V1B1k+Bejltzh
-ks9BdBA9+eJO5yRGJUOFf/LC6GDTo8l+MkXyl7iv8DGcxN/u9kFnGqPbN5Ui
-38bQIf9+pMbjGYzccxbKEl/S4e+6QyuVZjGyGGyYfJlIB7XPVaolhFVOeNlE
-ZZB8BUfCGuYwkgzUehLxkeSrfeiz/jxGy7NFqu7lk/UfjWqWEP7dPzATXESH
-OP0WGaUFjGhiBcq3Suiw6TX93GPCNXqh9jcq6OAaNc7BhPP8LaL/raGDyMJU
-m84iRglZ22q8GuiQ8aBTLIrwg77Z+UsthMuDsjoJXxOt2+naQQddriuNK7nG
-kMPx+POONDrY7/3Xm+zfkcGNy89t+ugwtOqY9mHC+zMP11kO00HqMh2MCcsz
-hbhNOUTP3XudHQkLre1TM/pNB5aswWcPwnNHc11OTBL/OFL7fAkPXw+OOzpH
-6kUhpc+f8KjpdpfXXAzwsmIWBhC2HVvDI83LAPfZliI/wm1hcy/iljIgydp/
-xJuwvszAbgk+BgzUdWu6ES4prmt4xs8Aeb+JqrOE95jmu65dxQC3OzXXjhPO
-wPG8TwQZ0ELZmOwivDns7svVwgx4k/XZSpxwzGYP9XARcr3BN5lJoodAsXnT
-CjEG/FX/2JdDOMjkyIUwcQasvms860J4mtq6dLkkA0T8it1ECbuHCr8K2sCA
-+1vndhYT/fs3ze7l2cSAvQEKRuS8gRqNay/OyzFAdyrpWSDxU5fKXeanwAAh
-WXm0jHDx3ZcJU9sYQPHMaoSQenj72b1lfAcDwiXEjrmTepE0NnP3VGXAT/6E
-pjZSX485wIfVGGAptZijTjhgo9DB0X0MENX/eYdJ6vNP4XSr80EGuNQneCoS
-djvDvDygQf7X7v3kTurZJCQniaHFgFi+G8bdpP4V2SYrfp4k+tV7VZwl/fLJ
-+AS6Z8gAhdntIWdIP2l90byicYYBTqrfj2qSfrMM39GVYs6Apr24fgmFUZjK
-P++8HRjQcaB8Qor0r8jzRWsFJwZMhzyurBsi9cf9V7jbhQG1nTjWe5DM38y8
-ruXOgDtnu0+97cNo0LtYT9iX6CuZMZFA7idePdkLFX4M2HZkNcXXTfpTJy3b
-N4ABxkMGHOdOMr9YtETvHQakJ+/kWfGTxFd4eTST7KMqTf88Hmgg681vvncy
-mdSL5EwZG5H8nMQ1uN8SvxdMnSq+YFRQL/g7N40BpiMr1j0twqj+1ZyFZCYD
-xqsm3okXkPWOtG1lFTKgMy3+bcF7km9I2H+hDQwQlN8dfPQ5iZcK9D/YTPR6
-bHnxUTRGnmZXd461MGB5QPel5icYhSo4PDfrZMCojGDZvnCM8msOusoPMED8
-9aXal7fJ80BwjK98hgGPFA+tLXbFqPnLvbvH5xkg4Ckrl+VE/L0ot6xhkQFi
-jcduxTmQ+1WNJW/nkl5Ytv7UJmsrwsEV81igF46XDq0NNsRo9Wzs7/UyvbDh
-+I4g+90YrRzS6b6i3wtHE65dtiPPx9qnDMvpk70g/6T8te0EhR5o+3UEGPaC
-Uaz4QfNfFFqRmNUWZtIL193aMlRGKMRvtb7plU0vzHlVx4a0U4jvx1jF9yu9
-MFMjHllFntdL0ItMmbheyN5wNyDFjUKdB7WP0eN7wTye2/j4eQplfmYzYl/3
-AteXSOd+GwpZ5h8SFn7bC32+W09xmVDo43u6N1d2LxQY+Z1o0KCQdZzM/p6q
-XpjKe+X6fTWFPvm+K48e74WEeCGeYx84KHzyjNXpv72Q7L2loe0tBzn4zE2s
-mu6Fe1m8QlavOUjA8+SW4IVeSBl+MHMqioPOu+CwK/8wwbak63mDLwcJm+06
-ZSjNhIllBoXqWhx0Qa2o4x99JryUdfArbGCjksbWjE8nmeBitey7VTUbrb00
-FuhsyASl1hrJmRI2Qily8hUmTPCGiXqJbDZaIxbpddOWCUEC82/nnrBR0bTj
-ikkfJsz982CptikbrUACh/oTmNBnvzN1rIWF3h23T/j6lwkmG6L8NYtGkZri
-Jg2YZkL/o66Nz7NH0VcBRheaZcJpv0yjkTSy3/1hJfaNqw+u21xwvBoziv5Y
-WYSX8feBR/OjMC2fUaThZXijekMfuM6lZr9TItfHapg36/ZB24tnTaXPR9AE
-S2L1YHQfcK+Pr7lvM4zyzhzljdLuh+r2bPtRpwEUeCz4Ve5gP4ztmNZYeZyJ
-NvXotScFD8C6Erpc2EgP2q8eFCWuOgiWzYdxrEobOrehYZr7xyCknnhgn6Fd
-hyZqHjI9bg1B0H5apFXNJxSzxNr7tOwwqARw/NtvxsEaWl4iT/kwlG2/43Ju
-Sxks9b9lvM9zBEI1vif97GkCrjTrTKbwKGi4JfJ3nO4Ar9jMh8KloxD3M2dj
-Aun7L9tD+YTcWaCRsYNG/90HQnpeircF2BDucfbAV/ogdCs1/vAtZoN/6sEI
-79QReMUS8udFbBhV2aaxLHsE7NPOyD/8xoYtd5nPHxWNwIjsz2sJlWwQTGKe
-fFo/An/X06SqGtlwuCfNwfDPCAjxs51FBtiQEGEl/0RjFHQHl899WMUBTd0D
-2vvrRyErHmT7rTlwsY528UEHC8avjy+3s+OA+5EOlkEvC/aYvWX1OHBAOWtr
-Nf8IC4oEBXN+unBgf2F0pPsUCypv0o589+JAL5fNlkFRNnTZ+9tkh3BAW68g
-5clpNizbUhR7k5yLc7+60TvK2XCc93LAfBYHbonzbCr/zoYH9M3213M4oPR9
-5c23zWwQirm31fsTB47u+RJuwWCD5D+Wn5xLyTm6+PYnt1k2qLKmWg3aOGDp
-rRUJKhywytwjJLXAgforr4TfRHEg33JKoJGLgp0FrWa7XnBAYNnnlXd4Kchy
-3Hjg02sOlJw7xDfCR0GsbExzKolrM7/2Yu4aCg7XNvHKVXNg0NGIc2IrBTEB
-2OXuNNFB4uJ/N4wpKK9sh34TCiorlKp2mFGQvtn0h+1ZCqQ9cTnTgoxfsry4
-xZaCxiqvkmM2FPC1bwlKvECBqo9vgYgbBerD0R9bb1Iw2RCSkhFIgemZe09j
-0ii4Gfz6Vnc6Bdm8tFO3/lCw6t/lenbvKZhZmun/fIrE6XJJeDCTgia9031p
-cxTk6O9LwrlkXjXlUzlLMAwKNZXzIAp0dZR8XUQw6Mdz8W39QcGBSMdnlqoY
-2iOcGt+3knk2c7wndmNwvFUbo9pOAcWccg/dhyHAMWbrwR4KVAJbP0YfxpC1
-TUX/1BAFy4wstYwNMIgW2IT7zFIQH3FX8rQLhqTUCtOZeQok+5dPXbqAQSV2
-u3QgF5m3Qbb1ljuG4/6TmaFLMcQ9Cnn4yBvDDa2IpheCGI7t2FdteBMDs+Gr
-SKkM4bpPYyeiMVz+JtujK4/h7C+1DcMxGOay76V8V8DQI5Sn6vcCw9po0z2t
-Shjs18vwhyWQcecos2F1DOckL2lrpWN4Pyz1QuAEhs0vfnmrFGMIfRlsSyNx
-f6i+u+vuVxLXaY7cByMMtX2VhT9KMEgWF2edNMMgkisqYlCB4V7E2coH9uRX
-vRdV1WFw0i67f+48hi1uiX61DRg0p7cZKZK8T00VsSubMEzbz3R9v4Sh9Frj
-QFwrBpc9z3/x+2K4Xek8XtuNQZvFVdDph0HQp0U8kIZBOsHlRnoAhgWe433y
-DAxt/+xdrhdE8vglbWrWhyH766ta8bsY1otyZuj9GMKvLH88EkZ0evFsn/Ug
-Bp2eNsmwCAyqYeZ+B0YwbHyswTR/jKHMuN03dpTopfvmrcJTMu4I3z+YhSE3
-y0e1OhbD8I9jjdcookuQyLHlbzBMXRv7JjBO4th7Y9XPVOLP5eilEn8wdHD6
-mt+8I3kMBldJTGCINMux0v1Ixvcv/zL3F8PFletlRHMxvCmdY/VMkri/3R4e
-yMdQWL4YkTuFYXHb6SvBRPdYuzElzRkMnfTCvSYIk/PHQZnp/78fjtq0IFuK
-Yd0rk6CUWQyPj4eV/SnHUJI6bHB0DoP7wlhoeRUGpf6kmzTCejnmBlE1GJrj
-1MQuzGOQcylZ40h8iXt6dDWHMJeUQseuRgzxS8JcHRcwdDdFxPP+IH0Qnryx
-ifCnkEmHH8SXddo6u3YtYog6YLM1qR2DRuzaV/cIe4xVUl5dGFxdkd1Pwvop
-yrmaxKfEcZ9icj4AectoX+FeDN5Nmzz//36fR3BBg0l8Uj5cUKdBmFZ2fkk2
-8UWi85+mU4Q/X6v77xbx5TGd7Uv25xCttDvCiI2hXm1XlR1hT2ac8SZM9LPJ
-LLAnfOLZEolfvzBYBu/SsyascOIivYT4oO/yyN/4/98XuFuSI4nOX8/HGuoQ
-ZuQdcLMlOr68Il2qQrjYLWmHCtFBecOvRlHCz6RXTCySPIJWoMn/f1/4H45b
-Sqs=
+1:eJwVl3k8lF0Ux0eLUNZIliJbSJK8WjkKRfFmzVIhWiTZkpJiKhIJlSQpKipt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            "]]}, "Charting`Private`Tag#2"]}}, {}}, <|
      "HighlightElements" -> <|
        "Label" -> {"XYLabel"}, "Ball" -> {"InterpolatedBall"}|>, 
       "LayoutOptions" -> <|
        "PanelPlotLayout" -> <||>, 
-        "PlotRange" -> {{0, 1}, {-1.000120855436617, 1.0000941443631546`}}, 
+        "PlotRange" -> {{0, 1}, {-0.9999998830731719, 1.0631654739186551`}}, 
         "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
         "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
         "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), "DefaultStyle" -> {
@@ -10789,12 +10826,10 @@ Sqs=
       TagBox[
        TagBox[
         {GrayLevel[0], PointSize[0.012833333333333334`], AbsoluteThickness[2],
-          PointBox[{{0., 1.}, {0.111111111111111, 0.766044443118978}, {
-          0.222222222222222, 0.17364817766693}, {0.333333333333333, -0.5}, {
-          0.444444444444444, -0.939692620785908}, {
-          0.555555555555556, -0.939692620785908}, {0.666666666666667, -0.5}, {
-          0.777777777777778, 0.17364817766693}, {0.888888888888889, 
-          0.766044443118978}, {1., 1.}}]},
+          PointBox[{{0., 1.01874181434336}, {0.166666666666667, 
+          0.538230577148422}, {0.333333333333333, -0.478732828433753}, {
+          0.5, -0.995855494250838}, {0.666666666666667, -0.439836463049424}, {
+          0.833333333333333, 0.452629880210704}, {1., 1.02560599029718}}]},
         Annotation[#, "Charting`Private`Tag#1"]& ],
        {"WolframDynamicHighlight", <|
         "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>}], 
@@ -10810,20 +10845,18 @@ Sqs=
                AbsoluteThickness[2], 
                GrayLevel[0]], 
               
-              Point[{{0., 1.}, {0.111111111111111, 0.766044443118978}, {
-               0.222222222222222, 0.17364817766693}, {
-               0.333333333333333, -0.5}, {
-               0.444444444444444, -0.939692620785908}, {
-               0.555555555555556, -0.939692620785908}, {
-               0.666666666666667, -0.5}, {0.777777777777778, 
-               0.17364817766693}, {0.888888888888889, 0.766044443118978}, {1.,
-                1.}}]}, "Charting`Private`Tag#1"]}}, <|
+              Point[{{0., 1.01874181434336}, {0.166666666666667, 
+               0.538230577148422}, {0.333333333333333, -0.478732828433753}, {
+               0.5, -0.995855494250838}, {
+               0.666666666666667, -0.439836463049424}, {0.833333333333333, 
+               0.452629880210704}, {1., 1.02560599029718}}]}, 
+             "Charting`Private`Tag#1"]}}, <|
           "HighlightElements" -> <|
             "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
            "LayoutOptions" -> <|
             "PanelPlotLayout" -> <||>, 
-             "PlotRange" -> {{0, 1.}, {-0.939692620785908, 1.}}, 
-             "Frame" -> {{False, False}, {False, False}}, 
+             "PlotRange" -> {{0, 1.}, {-0.995855494250838, 1.02560599029718}},
+              "Frame" -> {{False, False}, {False, False}}, 
              "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
              "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
              GoldenRatio^(-1), "DefaultStyle" -> {
@@ -10846,7 +10879,7 @@ Sqs=
            "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
           "LayoutOptions" -> <|
            "PanelPlotLayout" -> <||>, 
-            "PlotRange" -> {{0, 1.}, {-0.939692620785908, 1.}}, 
+            "PlotRange" -> {{0, 1.}, {-0.995855494250838, 1.02560599029718}}, 
             "Frame" -> {{False, False}, {False, False}}, 
             "AxesOrigin" -> {0, 0}, "ImageSize" -> {360, 360/GoldenRatio}, 
             "Axes" -> {True, True}, "LabelStyle" -> {}, "AspectRatio" -> 
@@ -10865,7 +10898,9 @@ Sqs=
             False|>, 
           "Meta" -> <|
            "DefaultHighlight" -> {"Dynamic", None}, "Index" -> {}, "Function" -> 
-            ListPlot, "GroupHighlight" -> False|>|>]],
+            ListPlot, "GroupHighlight" -> False|>|>],
+        ImageSizeCache->{{4.503599627370496*^15, -4.503599627370496*^15}, {
+         4.503599627370496*^15, -4.503599627370496*^15}}],
        Selectable->False]},
      Annotation[{{
         Annotation[{
@@ -10874,18 +10909,17 @@ Sqs=
            AbsoluteThickness[2], 
            GrayLevel[0]], 
           
-          Point[{{0., 1.}, {0.111111111111111, 0.766044443118978}, {
-           0.222222222222222, 0.17364817766693}, {0.333333333333333, -0.5}, {
-           0.444444444444444, -0.939692620785908}, {
-           0.555555555555556, -0.939692620785908}, {
-           0.666666666666667, -0.5}, {0.777777777777778, 0.17364817766693}, {
-           0.888888888888889, 0.766044443118978}, {1., 1.}}]}, 
+          Point[{{0., 1.01874181434336}, {0.166666666666667, 
+           0.538230577148422}, {0.333333333333333, -0.478732828433753}, {
+           0.5, -0.995855494250838}, {
+           0.666666666666667, -0.439836463049424}, {0.833333333333333, 
+           0.452629880210704}, {1., 1.02560599029718}}]}, 
          "Charting`Private`Tag#1"]}}, <|
       "HighlightElements" -> <|
         "Label" -> {"XYLabel"}, "Ball" -> {"IndicatedBall"}|>, 
        "LayoutOptions" -> <|
         "PanelPlotLayout" -> <||>, 
-         "PlotRange" -> {{0, 1.}, {-0.939692620785908, 1.}}, 
+         "PlotRange" -> {{0, 1.}, {-0.995855494250838, 1.02560599029718}}, 
          "Frame" -> {{False, False}, {False, False}}, "AxesOrigin" -> {0, 0}, 
          "ImageSize" -> {360, 360/GoldenRatio}, "Axes" -> {True, True}, 
          "LabelStyle" -> {}, "AspectRatio" -> GoldenRatio^(-1), 
@@ -10936,7 +10970,7 @@ Sqs=
          Part[#, 1]], 
         (Identity[#]& )[
          Part[#, 2]]}& )}},
-  PlotRange->{{0, 1}, {-1.000120855436617, 1.0000941443631546`}},
+  PlotRange->{{0, 1}, {-0.9999998830731719, 1.0631654739186551`}},
   PlotRangeClipping->True,
   PlotRangePadding->{{
      Scaled[0.02], 
@@ -10963,9 +10997,10 @@ Sqs=
    3.9481382402556753`*^9, {3.948138284976859*^9, 3.948138289201264*^9}, 
    3.948138338382262*^9, 3.948138452037212*^9, 3.948138831793432*^9, 
    3.948139774880522*^9, 3.948139820496393*^9, 3.94813985677387*^9, 
-   3.948139978928771*^9, 3.948140059803281*^9},
- CellLabel->
-  "Out[891]=",ExpressionUUID->"17f846e6-caa0-4daf-91be-6b65626b2b8f"]
+   3.948139978928771*^9, 3.948140059803281*^9, {3.948174674816235*^9, 
+   3.9481747521108837`*^9}, {3.9481748303781557`*^9, 3.948174848938978*^9}, 
+   3.948174890171731*^9},
+ CellLabel->"Out[40]=",ExpressionUUID->"613f4752-1813-43f9-9f1e-42065c9ba581"]
 }, Open  ]]
 },
 WindowSize->{1024.5, 561},
@@ -10988,72 +11023,72 @@ Notebook[{
 Cell[554, 20, 1020, 26, 23, "Input",ExpressionUUID->"8a6144b2-4825-430e-8735-470868f9d585"],
 Cell[CellGroupData[{
 Cell[1599, 50, 500, 13, 23, "Input",ExpressionUUID->"bdf3d894-e06b-445f-a47d-201455db00a7"],
-Cell[2102, 65, 18599, 401, 192, "Output",ExpressionUUID->"967c071c-4eae-4105-9feb-985162975a4e"]
+Cell[2102, 65, 18865, 405, 182, "Output",ExpressionUUID->"967c071c-4eae-4105-9feb-985162975a4e"]
 }, Open  ]],
-Cell[20716, 469, 1369, 34, 31, "Input",ExpressionUUID->"ebcff5a2-5e76-49f1-974f-f698316f393b"],
-Cell[22088, 505, 1896, 45, 23, "Input",ExpressionUUID->"ea7cb2c9-e52d-4b28-a789-25e067a66acf"],
-Cell[23987, 552, 226, 4, 23, "Input",ExpressionUUID->"bb0fd94f-bd94-4931-9ceb-b1c843b6ffed"],
-Cell[24216, 558, 4850, 118, 267, "Input",ExpressionUUID->"50ff86b5-737b-41c1-94ff-2145f7b2e4d1"],
-Cell[29069, 678, 2923, 76, 156, "Input",ExpressionUUID->"e23ecac0-2ba7-4f6f-af3e-48836159571d"],
-Cell[31995, 756, 605, 17, 30, "Input",ExpressionUUID->"a4305efd-2d5e-45f6-868d-8e07fb522f0e"],
-Cell[32603, 775, 967, 23, 23, "Input",ExpressionUUID->"5af352c6-8896-4a1b-b393-d7f34eecf643"],
-Cell[33573, 800, 796, 23, 23, "Input",ExpressionUUID->"8ba63f81-4994-40a7-b866-6e34144d0207"],
-Cell[34372, 825, 732, 20, 23, "Input",ExpressionUUID->"81c87f69-631d-4c87-9a94-4038f7ee3d75"],
-Cell[35107, 847, 892, 18, 23, "Input",ExpressionUUID->"8b2c7f0e-f6fa-4dcd-a222-e419e5bac57f"],
-Cell[36002, 867, 509, 12, 23, "Input",ExpressionUUID->"234f897f-aaa8-4394-81a2-948744438d34"],
+Cell[20982, 473, 1369, 34, 31, "Input",ExpressionUUID->"ebcff5a2-5e76-49f1-974f-f698316f393b"],
+Cell[22354, 509, 1896, 45, 23, "Input",ExpressionUUID->"ea7cb2c9-e52d-4b28-a789-25e067a66acf"],
+Cell[24253, 556, 226, 4, 23, "Input",ExpressionUUID->"bb0fd94f-bd94-4931-9ceb-b1c843b6ffed"],
+Cell[24482, 562, 4850, 118, 267, "Input",ExpressionUUID->"50ff86b5-737b-41c1-94ff-2145f7b2e4d1"],
+Cell[29335, 682, 2923, 76, 156, "Input",ExpressionUUID->"e23ecac0-2ba7-4f6f-af3e-48836159571d"],
+Cell[32261, 760, 605, 17, 30, "Input",ExpressionUUID->"a4305efd-2d5e-45f6-868d-8e07fb522f0e"],
+Cell[32869, 779, 967, 23, 23, "Input",ExpressionUUID->"5af352c6-8896-4a1b-b393-d7f34eecf643"],
+Cell[33839, 804, 796, 23, 23, "Input",ExpressionUUID->"8ba63f81-4994-40a7-b866-6e34144d0207"],
+Cell[34638, 829, 732, 20, 23, "Input",ExpressionUUID->"81c87f69-631d-4c87-9a94-4038f7ee3d75"],
+Cell[35373, 851, 892, 18, 23, "Input",ExpressionUUID->"8b2c7f0e-f6fa-4dcd-a222-e419e5bac57f"],
+Cell[36268, 871, 509, 12, 23, "Input",ExpressionUUID->"234f897f-aaa8-4394-81a2-948744438d34"],
 Cell[CellGroupData[{
-Cell[36536, 883, 2353, 41, 23, "Input",ExpressionUUID->"56984f37-ab18-406a-b6c4-61b6a859e4b1"],
-Cell[38892, 926, 2007, 29, 35, "Output",ExpressionUUID->"919b4663-4a6a-4083-b40d-cf6c6b427a33"]
+Cell[36802, 887, 2353, 41, 23, "Input",ExpressionUUID->"56984f37-ab18-406a-b6c4-61b6a859e4b1"],
+Cell[39158, 930, 2007, 29, 25, "Output",ExpressionUUID->"919b4663-4a6a-4083-b40d-cf6c6b427a33"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[40936, 960, 725, 20, 23, "Input",ExpressionUUID->"5945f6d0-c38c-4966-b262-8c714abbd4ad"],
-Cell[41664, 982, 66163, 1193, 186, "Output",ExpressionUUID->"0de6ebc1-d180-400d-a3ab-43318b41fb18"]
+Cell[41202, 964, 725, 20, 23, "Input",ExpressionUUID->"5945f6d0-c38c-4966-b262-8c714abbd4ad"],
+Cell[41930, 986, 66429, 1197, 175, "Output",ExpressionUUID->"0de6ebc1-d180-400d-a3ab-43318b41fb18"]
 }, Open  ]],
-Cell[107842, 2178, 662, 14, 23, "Input",ExpressionUUID->"b30c963b-73c6-45e4-8851-ebca8a51734b"],
+Cell[108374, 2186, 662, 14, 23, "Input",ExpressionUUID->"b30c963b-73c6-45e4-8851-ebca8a51734b"],
 Cell[CellGroupData[{
-Cell[108529, 2196, 2253, 41, 23, "Input",ExpressionUUID->"836b3548-7e17-45c1-b28e-0607b57c13a5"],
-Cell[110785, 2239, 1461, 21, 35, "Output",ExpressionUUID->"d015d061-dada-4c76-9547-7fb223c133b4"]
+Cell[109061, 2204, 2253, 41, 23, "Input",ExpressionUUID->"836b3548-7e17-45c1-b28e-0607b57c13a5"],
+Cell[111317, 2247, 1461, 21, 25, "Output",ExpressionUUID->"d015d061-dada-4c76-9547-7fb223c133b4"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[112283, 2265, 834, 22, 23, "Input",ExpressionUUID->"a6c9f209-5969-490c-8928-610839cf2732"],
-Cell[113120, 2289, 142956, 2451, 186, "Output",ExpressionUUID->"521a4e94-9194-4b92-8425-fea48cd77c67"]
+Cell[112815, 2273, 834, 22, 23, "Input",ExpressionUUID->"a6c9f209-5969-490c-8928-610839cf2732"],
+Cell[113652, 2297, 143222, 2455, 175, "Output",ExpressionUUID->"521a4e94-9194-4b92-8425-fea48cd77c67"]
 }, Open  ]],
-Cell[256091, 4743, 851, 17, 23, "Input",ExpressionUUID->"bed33f4f-46a0-47eb-8dc2-b968bd2f29f2"],
+Cell[256889, 4755, 851, 17, 23, "Input",ExpressionUUID->"bed33f4f-46a0-47eb-8dc2-b968bd2f29f2"],
 Cell[CellGroupData[{
-Cell[256967, 4764, 2377, 41, 23, "Input",ExpressionUUID->"68019ef8-0ad0-4736-bcd3-369769400c1d"],
-Cell[259347, 4807, 1702, 25, 35, "Output",ExpressionUUID->"e79c5a28-1937-4270-9088-db58dd375331"]
+Cell[257765, 4776, 2377, 41, 23, "Input",ExpressionUUID->"68019ef8-0ad0-4736-bcd3-369769400c1d"],
+Cell[260145, 4819, 1702, 25, 25, "Output",ExpressionUUID->"e79c5a28-1937-4270-9088-db58dd375331"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[261086, 4837, 777, 21, 23, "Input",ExpressionUUID->"ed7e7612-8de4-4ef5-bc3b-f2cf49b64d0e"],
-Cell[261866, 4860, 136118, 2340, 182, "Output",ExpressionUUID->"4984b1f7-133c-4235-869e-314fef96e28e"]
+Cell[261884, 4849, 777, 21, 23, "Input",ExpressionUUID->"ed7e7612-8de4-4ef5-bc3b-f2cf49b64d0e"],
+Cell[262664, 4872, 136384, 2344, 171, "Output",ExpressionUUID->"4984b1f7-133c-4235-869e-314fef96e28e"]
 }, Open  ]],
-Cell[397999, 7203, 703, 15, 23, "Input",ExpressionUUID->"16fd2f85-0c15-4ce1-9650-d56f875e3ac0"],
+Cell[399063, 7219, 703, 15, 23, "Input",ExpressionUUID->"16fd2f85-0c15-4ce1-9650-d56f875e3ac0"],
 Cell[CellGroupData[{
-Cell[398727, 7222, 2618, 45, 23, "Input",ExpressionUUID->"d6909a2d-ebee-4926-a02b-8ab0c90b08df"],
-Cell[401348, 7269, 1824, 26, 35, "Output",ExpressionUUID->"209516ff-1879-4481-9231-611ef1c9825c"]
+Cell[399791, 7238, 2618, 45, 23, "Input",ExpressionUUID->"d6909a2d-ebee-4926-a02b-8ab0c90b08df"],
+Cell[402412, 7285, 1824, 26, 25, "Output",ExpressionUUID->"209516ff-1879-4481-9231-611ef1c9825c"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[403209, 7300, 1762, 34, 23, "Input",ExpressionUUID->"459c2b59-8ce1-4f14-9c91-8fdcc83acf25"],
-Cell[404974, 7336, 133495, 2294, 182, "Output",ExpressionUUID->"ffd6f419-7cc8-4a11-9daf-a5981d445824"]
+Cell[404273, 7316, 1762, 34, 23, "Input",ExpressionUUID->"459c2b59-8ce1-4f14-9c91-8fdcc83acf25"],
+Cell[406038, 7352, 133761, 2298, 171, "Output",ExpressionUUID->"ffd6f419-7cc8-4a11-9daf-a5981d445824"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[538506, 9635, 500, 14, 30, "Input",ExpressionUUID->"8f94b911-4282-4699-9f4f-af2006d0f1fb"],
-Cell[539009, 9651, 2546, 54, 59, "Output",ExpressionUUID->"3039fc70-f0af-4e70-bc64-e604b3f36d0d"]
+Cell[539836, 9655, 500, 14, 30, "Input",ExpressionUUID->"8f94b911-4282-4699-9f4f-af2006d0f1fb"],
+Cell[540339, 9671, 2546, 54, 59, "Output",ExpressionUUID->"3039fc70-f0af-4e70-bc64-e604b3f36d0d"]
 }, Open  ]],
-Cell[541570, 9708, 332, 8, 23, "Input",ExpressionUUID->"cd2f3698-aefd-466e-b7c8-2012f3538973"],
+Cell[542900, 9728, 332, 8, 23, "Input",ExpressionUUID->"cd2f3698-aefd-466e-b7c8-2012f3538973"],
 Cell[CellGroupData[{
-Cell[541927, 9720, 519, 14, 30, "Input",ExpressionUUID->"57aa01a8-18a7-45a2-b2b7-055f7b61faa7"],
-Cell[542449, 9736, 192, 2, 25, "Output",ExpressionUUID->"15effdbc-9a3d-4a23-bfd0-494fb6fb5423"]
+Cell[543257, 9740, 519, 14, 30, "Input",ExpressionUUID->"57aa01a8-18a7-45a2-b2b7-055f7b61faa7"],
+Cell[543779, 9756, 192, 2, 25, "Output",ExpressionUUID->"15effdbc-9a3d-4a23-bfd0-494fb6fb5423"]
 }, Open  ]],
 Cell[CellGroupData[{
-Cell[542678, 9743, 1572, 41, 30, "Input",ExpressionUUID->"dcd9a96d-e483-4aa1-af04-d08688038cb6"],
-Cell[544253, 9786, 521, 7, 25, "Output",ExpressionUUID->"1f8c8629-c764-4604-b0fe-5c01e46e6013"]
+Cell[544008, 9763, 1572, 41, 30, "Input",ExpressionUUID->"dcd9a96d-e483-4aa1-af04-d08688038cb6"],
+Cell[545583, 9806, 521, 7, 25, "Output",ExpressionUUID->"1f8c8629-c764-4604-b0fe-5c01e46e6013"]
 }, Open  ]],
-Cell[544789, 9796, 394, 10, 23, "Input",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],
-Cell[545186, 9808, 482, 13, 40, "Input",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],
+Cell[546119, 9816, 441, 10, 23, "Input",ExpressionUUID->"b6f65d11-1714-42cd-b279-8e2c0eb8fe70"],
+Cell[546563, 9828, 478, 12, 40, "Input",ExpressionUUID->"788c910c-c901-4771-95a4-a21a3056ef4d"],
 Cell[CellGroupData[{
-Cell[545693, 9825, 1329, 33, 23, "Input",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],
-Cell[547025, 9860, 62360, 1107, 182, "Output",ExpressionUUID->"17f846e6-caa0-4daf-91be-6b65626b2b8f"]
+Cell[547066, 9844, 1478, 36, 23, "Input",ExpressionUUID->"64b9d7b0-4d42-4971-a779-d26a172dddb6"],
+Cell[548547, 9882, 63253, 1120, 171, "Output",ExpressionUUID->"613f4752-1813-43f9-9f1e-42065c9ba581"]
 }, Open  ]]
 }
 ]