From 9e7fb0c23e3d29edfcd15ce165269f209cdab86f Mon Sep 17 00:00:00 2001
From: himyss <ivanmuzalevsky@gmail.com>
Date: Tue, 13 Sep 2022 22:16:17 +0300
Subject: [PATCH] data added

---
 elastic_lg.nb | 8569 +++++++++++++++++++++++++++++++++++++++++++++++++
 resonans4.nb  | 2875 +++++++++++++++++
 2 files changed, 11444 insertions(+)
 create mode 100644 elastic_lg.nb
 create mode 100644 resonans4.nb

diff --git a/elastic_lg.nb b/elastic_lg.nb
new file mode 100644
index 0000000..7875455
--- /dev/null
+++ b/elastic_lg.nb
@@ -0,0 +1,8569 @@
+(* Content-type: application/vnd.wolfram.mathematica *)
+
+(*** Wolfram Notebook File ***)
+(* http://www.wolfram.com/nb *)
+
+(* CreatedBy='Mathematica 13.0' *)
+
+(*CacheID: 234*)
+(* Internal cache information:
+NotebookFileLineBreakTest
+NotebookFileLineBreakTest
+NotebookDataPosition[       158,          7]
+NotebookDataLength[    476994,       8561]
+NotebookOptionsPosition[    472137,       8480]
+NotebookOutlinePosition[    472565,       8497]
+CellTagsIndexPosition[    472522,       8494]
+WindowFrame->Normal*)
+
+(* Beginning of Notebook Content *)
+Notebook[{
+
+Cell[CellGroupData[{
+Cell[BoxData[
+ RowBox[{"sps", "=", 
+  RowBox[{"{", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"Dashing", "[", "None", "]"}], ",", 
+      RowBox[{"RGBColor", "[", 
+       RowBox[{"0", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", " ", 
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"Dashing", "[", "Large", "]"}], ",", 
+      RowBox[{"RGBColor", "[", 
+       RowBox[{"1", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"Dashing", "[", "Medium", "]"}], ",", 
+      RowBox[{"RGBColor", "[", 
+       RowBox[{"0", ",", "0", ",", "1"}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"Dashing", "[", "Small", "]"}], ",", 
+      RowBox[{"RGBColor", "[", 
+       RowBox[{"0", ",", "1", ",", "0"}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"Dashing", "[", "Tiny", "]"}], ",", 
+      RowBox[{"RGBColor", "[", 
+       RowBox[{"0", ",", "1", ",", "1"}], "]"}]}], "}"}]}], "}"}]}]], "Input",\
+
+ CellLabel->"In[5]:=",ExpressionUUID->"ba7d4b78-672c-458a-81ef-4afd07c02df7"],
+
+Cell[BoxData[
+ RowBox[{"{", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"Dashing", "[", "None", "]"}], ",", 
+     TemplateBox[<|"color" -> RGBColor[0, 0, 0]|>,
+      "RGBColorSwatchTemplate"]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"Dashing", "[", "Large", "]"}], ",", 
+     TemplateBox[<|"color" -> RGBColor[1, 0, 0]|>,
+      "RGBColorSwatchTemplate"]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"Dashing", "[", "Medium", "]"}], ",", 
+     TemplateBox[<|"color" -> RGBColor[0, 0, 1]|>,
+      "RGBColorSwatchTemplate"]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"Dashing", "[", "Small", "]"}], ",", 
+     TemplateBox[<|"color" -> RGBColor[0, 1, 0]|>,
+      "RGBColorSwatchTemplate"]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"Dashing", "[", "Tiny", "]"}], ",", 
+     TemplateBox[<|"color" -> RGBColor[0, 1, 1]|>,
+      "RGBColorSwatchTemplate"]}], "}"}]}], "}"}]], "Output",
+ CellChangeTimes->{
+  3.853487164235237*^9, {3.8534922550652323`*^9, 3.853492255141088*^9}, 
+   3.858852808034292*^9},
+ CellLabel->"Out[5]=",ExpressionUUID->"27aca7d3-6967-4af6-b7a6-cce9ddd23131"]
+}, Open  ]],
+
+Cell["INPUTS", "Text",
+ CellChangeTimes->{
+  3.8534863261914244`*^9},ExpressionUUID->"ff0261e9-e7f2-47d7-be51-\
+681add6cc7f6"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"{", 
+  RowBox[{
+   RowBox[{"mass", " ", "=", " ", "939"}], ",", "\[IndentingNewLine]", 
+   RowBox[{"radius", " ", "=", " ", "3."}]}], "}"}]], "Input",
+ CellChangeTimes->{{3.8534863663263545`*^9, 3.85348638187929*^9}, {
+  3.8534951529179296`*^9, 3.853495211825151*^9}, {3.853495296823846*^9, 
+  3.853495311207975*^9}, {3.853496136587387*^9, 3.853496138398828*^9}, {
+  3.853496194268097*^9, 3.85349619713694*^9}},
+ CellLabel->"In[6]:=",ExpressionUUID->"8b706344-7d6f-4824-a756-32583bee7675"],
+
+Cell[BoxData[
+ RowBox[{"{", 
+  RowBox[{"939", ",", "3.`"}], "}"}]], "Output",
+ CellChangeTimes->{{3.853495189134169*^9, 3.853495213732986*^9}, 
+   3.853495316238769*^9, 3.853496140937274*^9, 3.853496202939743*^9, 
+   3.858852809998757*^9},
+ CellLabel->"Out[6]=",ExpressionUUID->"c5c35dc6-6455-4c06-8d6b-4ccc168b8f61"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"momenta", "[", "energy_", "]"}], ":=", " ", 
+  FractionBox[
+   SqrtBox[
+    RowBox[{" ", 
+     RowBox[{
+      RowBox[{"energy", "*", "energy"}], " ", "+", " ", 
+      RowBox[{"2", "*", "mass", "*", "energy"}]}]}]], "197.327"]}]], "Input",
+ CellChangeTimes->{{3.853486447636016*^9, 3.853486456260361*^9}},
+ CellLabel->"In[7]:=",ExpressionUUID->"7c41ea64-0275-46af-a1be-64f6a62fe1e6"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"phase", "[", 
+   RowBox[{"angMomenta_", ",", "energy_"}], "]"}], " ", ":=", " ", 
+  RowBox[{"ArcTan", "[", 
+   FractionBox[
+    RowBox[{"SphericalBesselJ", "[", 
+     RowBox[{"angMomenta", ",", 
+      RowBox[{
+       RowBox[{"momenta", "[", "energy", "]"}], "*", "radius"}]}], "]"}], 
+    RowBox[{"SphericalBesselY", "[", 
+     RowBox[{"angMomenta", ",", 
+      RowBox[{
+       RowBox[{"momenta", "[", "energy", "]"}], "*", "radius"}]}], "]"}]], 
+   "]"}], " "}]], "Input",
+ CellLabel->"In[8]:=",ExpressionUUID->"2b3e773f-5694-4ac2-8548-b85c2006e275"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"phase", "[", 
+      RowBox[{"0", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"1", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"2", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"3", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"4", ",", "k"}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"k", ",", "0", ",", "0.5"}], "}"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]], "Input",
+ CellChangeTimes->{{3.8534866396384068`*^9, 3.853486677191375*^9}, {
+  3.8534871698947124`*^9, 3.85348717616479*^9}, {3.8534878605355625`*^9, 
+  3.8534878630333276`*^9}, {3.853491500616036*^9, 3.853491536996521*^9}},
+ CellLabel->"In[9]:=",ExpressionUUID->"36acf79c-f85b-4ba8-b611-02ce834d0895"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVxXk41AkfAHBXNaWEPey45qFhi0IUqa2v4o1cu+4VSe4kEpFKjhAl1wrL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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15834#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwVxXk81IkbAOAhlVa0tLtFJHKH7LhDb9to3bZxFTESSuRMopLIiNz3NYZx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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15834#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwVlPc/1f0fh61KEhKyV4dSVslIjlclW8OMwm1F5qFst5mRzOzKysw81iHj
+vD+ScZdxbCrOKVSSVRlR8e37w/NxPa4/4HqK2RGMbjHQ0dH1/93/qXdrfqj9
+i6Y6/5cF21+xF1qZNPg9aXw40FSxxa1fciMr5GVl1/OdgUtlBym9v1PJc4K4
+cD9JdXA6MuBBia0g6/dP1OXwXQKbbJbDTRptZFy8UPGuiC447e0y/E38j/xb
+zz7TVvIKdJ+jr8/yHyEvRI522mYYgjFLwzZr/hT5usMmOYXPBCp+9OF2f82S
+OzX4m15mmwH5uUB22sgCWf4ovmZNxAIkSBhnkPc3cjaDTZlE4U3Yqt7sLpfc
+IDPPRBSYSVqD42aYRvT9X+SW98P9L01sYFKO7/byIB3yvOagZ5lhC77yjCPc
+eCYk2b7evTZhBwq2c/nGrMxoWi5GI4HPAb61zt4Xu8iK0vJ42yVu3gIb3LfN
+JU8OpMderoayHSFtw/Cq3SYnogs912xGdQLdgvBYhkZu1Ljcp7gi4gwR54fA
+vJoXuVlb18XYuoDa2r+dMx8EkPjAiqxooSssKpZ9PGIkghKrOI8bSnqAqZFY
+L4/fUaQpVFT0xYkAttGUJadECRTS/ZjjhYknFDdOpA92H0NnlKQTLDK8YJDX
+VfJejjRiX/bulVC+A/dkVhI48XJooZi8//vEHYi/8dBJnO4Uyue+Gv2AzxsW
+BWifd7YUUFB/ZqdZizcIWfbyvE1RRGZR7xmO3vQBvncJhEZ1ZcS67hXamu0L
+q7GtYemDquhzZQs5Bu8HUp5Fe481qaEOB8bfxlQ/WGb/6jRRq478R9P8F0UC
+IGmAecT4zgVkHD/d+Lw9AHC1llaliReR7CXJ9UjbQBB+0J7+kKSB5uqbvIQK
+g+AnxzKp8qgWMkx963JFMgRY8iksQZH6SFr/aBl/TwjIVchoMm0ZIGZGt8+f
+nEJBddqTTjTgCvqneacWMwmDTCN+LY2Ba4hbKlnWPCMcRF480S04a4IYohou
+o0/hQMgSNOk7aopW30+64ZQjgEIrDlfgMkO9WWIVqxMRsPS7tXF1nzkKZ64/
+FssXCZ2Mb/cWqVmiE9oP79d5RoK1ZaPZ/TtWaDiK8OVdTyRUzz/7cKHGGuEY
+pStkfaMAz+th1frUBnX/KZIdHY6GkgdG+Ou37BFB7V7SH6kYCGeYM4wQdUC8
+QbarkuEx4BYW4DBJc0DOP4XqAuTuQ6cJ8wOcqyNi/ZGhKBIfCyJ/lmc4Sc6I
+dMonQ2c2FriLWK3dUlyQtafxppfqAyALsgfIeLsi4hJ7c+f8Azi72TzHqOmO
+jObvq7loxoOCzgsxx0RPlDUdqEHaSQQrO6PI4DFvdEHQoohqmgQS4nHqh519
+0MIN5T3MVUnA2vn5A9euDxJeDLCvkkmGjgw7RefTfojgrCRBN5UMsVofteoa
+AxCnA/FZsUoK5CUTPB6phCLHe8IWqg4p4PSyjdN7LRS1FiTspySlgFRH8oav
+RRhy+ODq8vNTCny7Zt/1USAckayPS+unp0KIbkfXi5oIZG7xlLj6LQ2uMakI
+dwhEo5V3JiwF/Olwm6FGoywmGkVbM98y1kiHyyHk4ldr0ajensDfmJYOe+ZO
+/9cyHIPYPPBRQcoZEMylNBuSE4u6It7c2BucCT6HglECIQFZ7kkgNRVnwmG9
+AImUlQT0PeY8h/NAJpicO7z0wTMRiSaUdvWKZIGVDxfjbb8k9G+mj/zDjixo
+/5DlyvM6GZ2uPLRXkPkxRKW5qnXtTUWvZLts+uUfg8VksKO9YSqyqfVvDbF4
+DD0MHGPE7FSU0Ejz/FD+GOwDzdJNFdPQfHvVu5LLT2CDQBKf9UhHuWO6tadS
+s8ErRFssgDELHdgNt9QWzgPqMLcUZ2MOynK+bi2tlQfRtDihWO5chBuVtjnk
+kQdeRqUzjT65SL1swv4dOQ+GH4WUqajkoeayDFKTbD7o5u8OrdrloyXjxTb9
+gXzopr/Dw8NQgEyfZfbePVgA8zIyrOMxxSjbKsLAUawASvo4dlxeFqMZTvd+
+c8UCSNyKAbvdYkQIvkjBWxXAk5TAKH//EhRrtDS8r6oAMmoH5nQJpYj8++Lb
+JwaFwLLo8rqKUIYkDJfnX8YVgSabPt9sWxXiD9VWdXpaBHTEqTv6B6oRR1V+
+HEtTEcyaLB6Uu1GNtpmNZQ1nimCfWOke561qNNjedJeqUgy4C4uECeEaFCgf
+vvPzYzFQsVf+Ux61aICdi0v2fCkwGkhWt6g3oJd491tDpqWgFYdnork3oOeu
+3Y3erqWgYyQ2eCmnARX2+Fu0ZpTCWCEVxn43IP/Q6VydpVIQLf7RzIqRkPhK
+iZT942ewc68VW7nahPwGzkLWWhnUUJ29rxW1IDZZ0sdXzOUwv/J2CDfZgooS
+5ON/CZZDlESMiSJrKxoyOPbGWrMctH0DcAd8WtHJXq67EhnlEK3A6Ryv24Zo
+PSsldcoVUB7MfHbrDxlpvyhm6w+sBIHu1qm41+2IKir2N8dKuH16z8Er8+3I
+Oyz7pnxhJbhjy3Vye1+gp5D6LLW3ErLG3z8wvPgC/SKHXbwhWAUuuxyPONpe
+IGLLTd/P5CrwZBxMiiJ1oCMNh6j09ESYd7kkmt7eiSzjf5nM8RChBhe+Lfex
+ExU4fOztliYCO63X9Nv+LiTN3dwcZ04EzI2/87NxF7roa5POXUOE6H3uy0Vf
+upBS9vWSNLka2MApvXcV7EG21iVWz6g1IFOv7R6d9wo1zmj0UdTqwLdnlVQj
+TEHjOuHfErTrQETphLavAQVtVCMeA6M6eFUT8ds+kIKUg87a/udUB0XenPTP
+xyno+WG5jfaUOqi2Ik081RlEzZf4Revm62DUJujF1t4h1FayejctrR5Wuhcq
+6VOHUYdLjoDFYgNwF+6kFH8ZQ/VfXF2tNxrAIuDs9CjjOCq6rdpqT0eCLMGe
+AR7hcRTlOHHDg4sETo6bz4eNxpGO3aHH99RIoKh6RuwkeRxRLKJ4q+NJ0JFe
+umWbPoGmdNy5GWUaoZ8dZ7LH5A1al8SzV7k3gVLjQa8DB6YRw1YFh4BEC6Dy
+zft63LNIadem0bi6Da7/zNVT3TeP+iLPDHSfwOBdVmdmXPwSEkn+ulW23A7H
+5Y5Y+0p9R183adQx+Q6wyUl+EtiwjooWWl+zJb4EZ9+eiZPbW4hNqHRlbq4T
+Zm8Fke3zdlC8M8kxH9cNue3keVsiPbZxvmLudmgPsD/1/S4cwoR5n+5s4Hn5
+H3xbluh1N9uH0ao744bEXsPF7+NVlAoW7JfL6BOpwF4QowxqnjzDhp28sG/H
+sbUPSjVaVA2oHJh2gZhT7ZEBqN/s2nBZ4MT8hP4R/2BJgYBuCaYTa1yY9KLp
+gYnLg/Ce73rgI84j2GH2VebO7UGQURXRuRbBhzFhT4hHs4fAwKfKl3FBAHM9
+0/pmv/4w9NNrmOeWC2MVun9PaGMYzGPcHG90iGLrX/k5PmWMAHXaz0nluDhG
+MtZmTLs0CnyypNp47CgWqhOV1/BpFM4RHt7huyKBiU3rTRZGjcHoaskn+U+S
+mKpyZBrf6XFY7XhOaGs4jlkKU7boR8ahqU9Sdb/fCWz9dcKMZ/gEDAockqTe
+lcaymKy9jXCT4PVmmqfEThY7TCUVMHROwpPnC1YyMvLYnuBwk7Neb+B4kkz6
+R51TGF2ZNXGG8y0QQk/2Em+exu48JiZwdrwFM96hSP9kBYx88j7zIY93cGOj
+UIH2+gx2SO+OdATbFKzxTg7obytiUzKDIwFtU/CVWqzke0UZq8kF3Jz1NCgc
+6ZbMyVDBrIhKh4R2pkE4ZKzr6sxZLCzqafhUORXuCZvv+puew6rmhZ6wGdDg
+CJvrn+AWNex+TpQN9QoNnOTs6yjtapiD0ZJEtSENrHgfKIn3qGGCbW01l6/T
+4PF0aOWrETXsQdLN7ng7GvCa910VX1LDbis9+sYSQANR/tWAbRE8Jh7JpbOv
+hAYBBYHxWtF4bEfl34MTz2gQU5l3pi4ej71Zmh0uqaBB7ClKpXAqHku+Xm+l
+VUuDw1u3D27n4bHdE0Z3o9poUOunldzSjMemhpJyGUdowLqeW2C3hMeeR2/a
+j4zRIMsj58q7H3gs7dw/UoWTNPhx9XCvyTYe0y+WbbhI/euEMEW9fepYi3//
+q/AvNGg6IDykLqaOZcgoJhku0qC1Op0eHVPHvGayTcRWaKC73sKgLquOHTdw
+o7Wv0YAYKuV3/pw6xkQ/WpS8SQMR/bCFjgvq2HvSORebbRoEvcqT1dJRx9pc
+CuXk/9CAhZyo8fqKOpYpcmB9d5cGcZ+Npa6aqmP/A+DBd68=
+       "]]},
+     Annotation[#, "Charting`Private`Tag$15834#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwVlXc4FXwfh40KKSIVMhOlkLIifM1sPfY+ZsooRKUoIyuOhyIre49Edpzf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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15834#4"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Tiny], 
+      LineBox[CompressedData["
+1:eJwVlWcg1Y/fhpEQyswIRamU1S8iwsc6SFRWaEhmqFRUEomQmWRkHJmZ4djk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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15834#5"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{0, 0.5}, {-0.4659350042614689, 0.}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{
+  3.8534878657306776`*^9, {3.853491660955735*^9, 3.85349166439738*^9}, 
+   3.853492283179998*^9, {3.853495197356709*^9, 3.853495219911541*^9}, 
+   3.858852814723728*^9},
+ CellLabel->"Out[9]=",ExpressionUUID->"d5ef8b6e-17ae-4a54-9e0c-3006bfae9692"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"phase", "[", 
+      RowBox[{"0", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"1", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"2", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"3", ",", "k"}], "]"}], ",", 
+     RowBox[{"phase", "[", 
+      RowBox[{"4", ",", "k"}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"k", ",", "0", ",", "25"}], "}"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]], "Input",
+ CellChangeTimes->{{3.8534866396384068`*^9, 3.853486677191375*^9}, {
+  3.8534871698947124`*^9, 3.85348717616479*^9}},
+ CellLabel->"In[10]:=",ExpressionUUID->"b03eab01-35a0-4e27-a0b2-b573f08e7021"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVjmk41OsDhiVCUcL8BiEhQkS20cH7oklHloiyHJ2yNBMq+5atki2UJZzU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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15898#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwV0Hk4lH0XB3D1JimKEgaVpeUZRe4h3U/odxpZSijVW0hCGEWZQakI6REV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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15898#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV1fc/1X0fwPFDRstVSEZIKCPZ42v1+SSqi6ikhIZknHCyJSRlZ8uIZJQV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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15898#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwVz2cgFd7DwPFLSFZ2Kmkoo2Qk3IRzbAnJHhmZF9l7ExklWaGfWRkZyUiS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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15898#4"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Tiny], 
+      LineBox[CompressedData["
+1:eJwVlmc4FuzDh297RTYJGWUlK3GLuq4nSSHKyMqWkT0jhFC2jId67EJW9ua+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+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$15898#5"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{0, 25}, {-1.570389724631765, 1.570619972227032}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{{3.8534866526976776`*^9, 3.8534866777488346`*^9}, 
+   3.853487177546113*^9, 3.853491667088752*^9, 3.853492280418667*^9, 
+   3.858852818938416*^9},
+ CellLabel->"Out[10]=",ExpressionUUID->"01bc47c1-a9fe-4043-8c3d-2b7b55b80e93"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"LogPlot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"-", 
+      FractionBox[
+       RowBox[{"phase", "[", 
+        RowBox[{"0", ",", "k"}], "]"}], 
+       SuperscriptBox["k", 
+        RowBox[{"1", "/", "2"}]]]}], ",", 
+     RowBox[{"-", 
+      FractionBox[
+       RowBox[{"phase", "[", 
+        RowBox[{"1", ",", "k"}], "]"}], 
+       SuperscriptBox["k", 
+        RowBox[{"3", "/", "2"}]]]}], ",", 
+     RowBox[{"-", 
+      FractionBox[
+       RowBox[{"phase", "[", 
+        RowBox[{"2", ",", "k"}], "]"}], 
+       SuperscriptBox["k", 
+        RowBox[{"5", "/", "2"}]]]}], ",", 
+     RowBox[{"-", 
+      FractionBox[
+       RowBox[{"phase", "[", 
+        RowBox[{"3", ",", "k"}], "]"}], 
+       SuperscriptBox["k", 
+        RowBox[{"7", "/", "2"}]]]}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"k", ",", "0", ",", "3"}], "}"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]], "Input",
+ CellChangeTimes->{{3.8534866396384068`*^9, 3.853486677191375*^9}, {
+  3.8534871698947124`*^9, 3.85348717616479*^9}, {3.853488070926713*^9, 
+  3.853488184645849*^9}, {3.85349163588764*^9, 3.8534916866587477`*^9}},
+ CellLabel->"In[11]:=",ExpressionUUID->"427c58a0-f500-4a61-a0ae-7f2409bdd161"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVz3s01Gkcx/EReqxyO6s5u4XTlIbVdsZZ2wWnnidqilaxyYhZDIbRWqxC
+jTvNVDIiZamQPXXQTLWjyLVfWpdRGlpObT9hE9WoCK1LYva7f3zO+7z+/LCC
+o38ULmEwGB6w/zu7J6rYMzpmmyu/KOXEbZqShtrYdrH34g0leQlS8KOx4UMy
+dgCWvjkVIwF/uOWaHcmOwrkF4uBMcAZzyoLPTsFmvnxuKvhhu/vIfnYODoph
+GSeAoy/Hd+xjl+D0aWVxGLg5O7vBg30DF/q+a9wJ1l8aizSHKBz1YOjw4i2a
+cksVSKp92rG6o2m4AXznmLD/6mM1Tq7hXxGDn/n9zIlN6ME1hveeO4DNdsnC
+mslTfOHZa/VEFU2Z9gqrNvv3Ya71uOM18NrVkZWS4EHMUbRMhYC39P/ycPvZ
+Fzjt6dbwNeDmT2k/9F58iRPX1+7vU9KUiFKp7maM4BZh61whuCikfOWKoNd4
+WUjqGA+8wffF9KJQgw0D/flm4IGpfWri9hb3uV3L7PqDpiYHv7ZnHniPq+03
+WZ8E58rF4TzeOO5kHfvSBcw2MfA4evEDZnKNGxngmpg0eU7pBDaf0Rmou0lT
+vevykdfZScz/dnNdAtg6s8f2p6IpnGbwysge7Og5+H3pxY9YvQkrNTdoqj9G
+sk2W/S/+YlmdUQW4yvGgUWveNN7tpH4ZBGb6tD+rkMzgS3unYq3AeIiRd//I
+LHZzKPPsvw7/mCIj9tE5fMVzWUUBOKMk4sTGQ5+wvbew1htcrC5sy4mZx7X5
+BS5G4OSo/A+WsZ8x573fqnYFTb0V2H51MHgBz0SMKSTg0wujegNhi7i7Xly7
+DVz/bte4sZ8W85Jakz7LaerJui1DTtYMIphMP9MAFn0Twsm/yiDzCzyLOHCz
+j3/idisd0lvQKXAAO/iOVpqX6RBKGcd6d42mIjO5T7euWkJ2nVcUVYJPhhl8
+0slfQubO7w4SgZssBdpRc13Ss+BYxgLXLUp17XJ0iaVt0YXBSppS33IdlZnp
+kcn7IuNCcOvqsLbss3qkra282wt8/M6BsheG+mTivsMeUzB/zfMAf5k+Me3y
+Ih0VNDVfw1m1Hi0lZpaK91Jwkq6m83zKUsIK99bsBDOtHQXrGIg4Z90M1JbT
+VEKUz0fDY4gE6tnkNIEtNoWq2ImIPFG4ihrB9xZ+veSSjEhfYJBLA9hQJtsh
+TkckY6RouhZcIm85pzmFiFe0UeBtcNub7zaqLiCiTZrmyMHmISbxkkZEytO6
+HxeC6+ws3cvuIpIqHpP/Bg6YtLNquofIUMpyaQG4Ip3b9rEFEW75bqdzYOfL
+yczQR4gUxDf/fgYc3P+2xmUAEWJSfVgKRlfnsgL+QaRT2eMhASsiUaB4CJH+
+gEmb4+Dp+TWo6hUixX9znqeDs1b68VjjiCjd5TuSwZyh8PVbJxDJ2v7AKgnc
+Wxmn9Z1CZNZFMysGWznmlefOIBIhtLl+FPwnozRRMYdIrJR7IgEsUin2qeYR
+MawSCuLBy3Pr1w4vIMJ6c9w5DqzkqWa0WkT+sr2y4gj4P1nHjOs=
+       "]]},
+     Annotation[#, "Charting`Private`Tag$15976#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwVz3tUjHkcBvCZeed9f7RNZCu5FKEZysomlxb9fomoNlmaymWje2w3pWja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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15976#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV0Hs01GkYB/AZg7ej2i6m+b3bZQ4ys6WiTVpq9b7kVEhSm/sSRZKYbUtF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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15976#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwV0WtUDGgYB/Dp5sWyRGYpQj3NtGEnVojqfaPDZivkVCpa021SqVHotm4R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+       "]]},
+     Annotation[#, "Charting`Private`Tag$15976#4"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, -10.487582244926172`},
+  CoordinatesToolOptions:>{"DisplayFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& )},
+  DisplayFunction->Identity,
+  Frame->{{False, False}, {False, False}},
+  FrameLabel->{{None, None}, {None, None}},
+  FrameTicks->{{
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0], 
+     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None},
+  PlotRange->{{0, 3}, {-10.487582244926172`, 0.}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->FrontEndValueCache[{Automatic, 
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0]}, {Automatic, {{-9.210340371976182, 
+       FormBox[
+        TemplateBox[{"10", 
+          RowBox[{"-", "4"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
+        TraditionalForm], {0.01, 0.}}, {-6.907755278982137, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.001\"", ShowStringCharacters -> False], 0.001, 
+          AutoDelete -> True], NumberForm[#, {
+           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
+       0.}}, {-4.605170185988091, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.010\"", ShowStringCharacters -> False], 0.01, 
+          AutoDelete -> True], NumberForm[#, {
+           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 
+       0.}}, {-2.3025850929940455`, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.100\"", ShowStringCharacters -> False], 0.1, 
+          AutoDelete -> True], NumberForm[#, {
+           DirectedInfinity[1], 3}]& ], TraditionalForm], {0.01, 0.}}, {0., 
+       FormBox["1", TraditionalForm], {0.01, 0.}}, {-13.815510557964274`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-13.122363377404328`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-12.716898269296165`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-12.429216196844383`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-12.206072645530174`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-12.02375108873622, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-11.86960040890896, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-11.736069016284437`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-11.618285980628055`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-11.512925464970229`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-10.819778284410283`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-10.41431317630212, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-10.126631103850338`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.903487552536127, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.721165995742174, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.567015315914915, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.433483923290392, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.315700887634009, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-8.517193191416238, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-8.111728083308073, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.824046010856292, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.600902459542082, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.418580902748128, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.264430222920869, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.1308988302963465`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-7.013115794639964, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-6.214608098422191, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-5.809142990314028, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-5.521460917862246, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-5.298317366548036, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-5.115995809754082, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-4.961845129926823, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-4.8283137373023015`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-4.710530701645918, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.912023005428146, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.506557897319982, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.2188758248682006`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.8134107167600364`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.659260036932778, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.5257286443082556`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.4079456086518722`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.6094379124341003`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.2039728043259361`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.916290731874155, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.6931471805599453, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.5108256237659907, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.35667494393873245`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.2231435513142097, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.10536051565782628`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      0.6931471805599453, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.0986122886681098`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.3862943611198906`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.6094379124341003`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.791759469228055, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.9459101490553132`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.0794415416798357`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.1972245773362196`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.302585092994046, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.70805020110221, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}}}]]], "Output",
+ CellChangeTimes->{3.8534945132365313`*^9, 3.858852821018241*^9},
+ CellLabel->"Out[11]=",ExpressionUUID->"ba1cd1aa-a9c0-4923-a962-049f4f1494bb"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"sMatrix", "[", 
+   RowBox[{"angMomenta_", ",", "energy_"}], "]"}], " ", ":=", " ", 
+  RowBox[{"Exp", "[", 
+   RowBox[{"2", "*", "I", "*", 
+    RowBox[{"phase", "[", 
+     RowBox[{"angMomenta", ",", "energy"}], "]"}]}], "]"}], "  "}]], "Input",
+ CellChangeTimes->{{3.853486741956423*^9, 3.853486748574054*^9}, 
+   3.8534869884309907`*^9},
+ CellLabel->"In[12]:=",ExpressionUUID->"0a91aeaf-ae80-42ef-a5a9-461e851bc585"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"crossSection", "[", 
+   RowBox[{"energy_", ",", "lmax_", ",", "thetaCos_"}], "]"}], ":=", 
+  RowBox[{"0.01", "*", " ", 
+   FractionBox["Pi", 
+    SuperscriptBox[
+     RowBox[{"momenta", "[", "energy", "]"}], "2"]], 
+   SuperscriptBox[
+    RowBox[{"(", 
+     RowBox[{"Abs", "[", 
+      RowBox[{"Sum", "[", 
+       RowBox[{
+        RowBox[{
+         FractionBox[
+          RowBox[{
+           RowBox[{"2", " ", "l"}], "+", "1"}], 
+          SqrtBox["2"]], "*", 
+         RowBox[{"(", 
+          RowBox[{
+           RowBox[{"sMatrix", "[", 
+            RowBox[{"l", ",", "energy"}], "]"}], "-", "1"}], ")"}], "*", 
+         RowBox[{"LegendreP", "[", 
+          RowBox[{"l", ",", "thetaCos"}], "]"}]}], ",", 
+        RowBox[{"{", 
+         RowBox[{"l", ",", "0", ",", "lmax"}], "}"}]}], "]"}], "]"}], ")"}], 
+    "2"], " "}]}]], "Input",
+ CellChangeTimes->{{3.853486839566058*^9, 3.8534868516463633`*^9}},
+ CellLabel->"In[13]:=",ExpressionUUID->"1b755cd5-b17a-40f4-9478-09c8830d6ba5"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.853492447397464*^9, 
+  3.853492448429699*^9}},ExpressionUUID->"f3ecc0bf-2bef-4449-a8ff-\
+2f3439cd2a9d"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "0.1"}], ";"}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.853487076166747*^9}, 3.8534871884746227`*^9, {
+   3.8534872331434736`*^9, 3.8534872341108074`*^9}, {3.853487279478346*^9, 
+   3.853487298830604*^9}, {3.85349233172666*^9, 3.853492342581953*^9}, {
+   3.853492438664446*^9, 3.853492473110911*^9}},
+ CellLabel->"In[14]:=",ExpressionUUID->"964c704e-82d8-43f4-9305-4a962e141163"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"crossSection", "[", 
+      RowBox[{"ee", ",", "2", ",", 
+       RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+     RowBox[{"crossSection", "[", 
+      RowBox[{"ee", ",", "3", ",", 
+       RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+     RowBox[{"crossSection", "[", 
+      RowBox[{"ee", ",", "4", ",", 
+       RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+   RowBox[{"PlotRange", "->", 
+    RowBox[{"{", 
+     RowBox[{"0", ",", "1"}], "}"}]}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.853487076166747*^9}, 3.8534871884746227`*^9, {
+   3.8534872331434736`*^9, 3.8534872341108074`*^9}, {3.853487279478346*^9, 
+   3.853487298830604*^9}, {3.85349233172666*^9, 3.853492342581953*^9}, {
+   3.853492438664446*^9, 3.8534924693821077`*^9}, {3.853492520660099*^9, 
+   3.853492523911327*^9}, {3.853492556058901*^9, 3.8534925575274982`*^9}, 
+   3.8534926285963984`*^9},
+ CellLabel->"In[15]:=",ExpressionUUID->"af7481d0-e6b6-42ab-b835-aeed7ec0ee28"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV1Hk41FsYB3DbnfmNpVSWIkuUbG2WJPSe7KVkicqS6FpSEYmylBIjrmIs
+175UlnSJ7FFpLFGSZRKhfmZIFCGVKO7xx3nO83nOH+857/Oe7wYXbytXHi4u
+rgm8lnfep/ztHE2fPfphbgNrHDmwaeyJjnT8IZCKk+lY9nzJtr/7GE7wX5zZ
+/WWX/oA3q4rdIZY+fnbZIyIec5UMb1AO+C2+7H/WtQgV154HhtvVe6ux8xQd
+sriKA6DQ8ZLcsuu1prZbZwfBKrfha6uw3xlfZ+YyroBsNPOF8HI9ZUHlYOZV
++NW3Zn4lNl2txze3NgzOO/cKL1tkd3Zte3k4qKgJr1yBnbPXk2+uiA7Bx2tn
+BbG37tM4uCH/BkTM9z0TwK61WEzcnx0NEuvP+PNjv3FibM5g3AJRi8+J1OX3
+qG/dxWmKhamkXi4KdoBW/EAAMw6027St+bD5wHFTTm087L18tJgL+4U+s1Wz
+OgG89MSqFh04EGe82etFeSKMeJvm/8aWNp+u/Fb0L7Q38++Zwx62tLWPLEyG
+ezppw9+x79vULq3PT4Gsxmzfb9i7HMNNjbPTYLJZwGgS2+rMunfJjCxQ73dr
+YGML7oKnSSbZ0KeWm/sBe6rGZ9VQUzbIaNh5D2BXPu6puMDMAT8ZpZo32AZN
+2YuZtXeg2stZ4Tm2gkm3xZj2XQgbsDdswOZv/euOevVd0PrVvu8pdkebp0lL
+eS7sOCkrUIXtyNKInS7KBx7bi+652MjWna2jWgAB0ehZNvbG3hSNiMICGBoO
+40nHHu9f7JXIvwf6TiE6DOwATssGw+z70GRjRA9Z7s+MQ1kS4wGskLkccQg7
+RjRVt16oBOKfT3SaYneVhstoWpXA5vh4Ln1s+3GHEen+EpgfDKNqYHvZC/jM
+fCmFh13UOjHsBD2PyBThcmjJVqrvsedAX5/16RU25TCy3QjasaX9wTwspRy0
+N+XkNGHnF4uJnJWrgF5pKeFy7EcyTVlIoxKSJXcn3ML+wC1XNXqkGrhMK7X3
+Ym/MFEp1SK+Ggl71iZ3YHrt/BXeS1VB5YTFMFXvGt0O/9lQN/La6bC+OzTd8
+uf1m0CM4z9j78LMdB5Sb+0c0s+pgnJm7dBNbp2k/v/75euB4f5CtP8YBYVbe
+a634eljbqaZahj3M5kncUlYPZb/TpfOwb3LVyqz7Vg9rwmqqo7HZOiqaU77P
+YKvzVqYNduRDgROZvkw4NzeiPHKUAz1ZbRXzPo1AX0vaTR/B81WsGDQV1wgq
+t6lmQ9ihj6+jj6WNoDzqLteJrdSv+7JzuhF47N5GlGAHixWRBT5N8NMkXsEL
+Wz4mRuCITzPomccyh205cC7Q3LnsXAt8OBV+4akNB/Z76RYQsS2wEJ744D9s
+eRflr44PWsB//+/OFOyefZQQYrIFDop2vz6PrbfuSbLj6VaoEHz5QAGbv3pL
+B9XtBcRVifBEHuZA7ndBcLBvg6TGj792WXPg8th8eGlgGxhrB+6Vxz46+KmN
+ktoGmY/jfISwBZsa7Up726BupXX0kBUHfBOC/Sm2r4AzsS83EhupfykqsWiH
+ihtufl2WHDhb7XqTR74DSJXsqMMWy/lgKcut0QE9PouvtLGn+nQfLhl2gNST
+n9+lsf0W1vT8duuAar3Gb58OcSBwD1PqZ2EHZMvx5gdhRzRKF31W6wRXydWT
+aeYcyO54+5Kl3wWSPypWtBzgAOvTPlq+CwtsntjJvzblwNcURaMwXxbcTkkf
+fIDNb0a96nSNBZJK/4TGYqOixjnx2yyIPRYSaol93wc+RQ6x4N+Vox5dJhy4
+Nq/x3PPEG5C7+2bwtTEHtgnKhm893gPmjJMeNYYciNr2g6vyWC/wuT2kmyAO
++Ki0JNbnDoDF51uS3po4T0+eLh70IkGRTBbfpcQBl8e2FrFubHA3iawIXM+B
+k9Os+vrIYdhaHbvFQAjn9/Yq77yIj5D1lv9A+x828NRXaV0P/ATvxpPgnwk2
+rFI2a/+QPA6HpXo/PX3HBtMs/TtTjC+g6dB8Q72FDeJf24yvVE1C6GU1bvEy
+NqQ+f8TNe2oKRphGYz4ZbNCV2rsk+/c0pErz7qFHskGFFB4O8ZsBhx8qvpt8
+2FBUsNqjwvcbXF+jkNNgx4bg947dKhGzwLnpt5FXnw0+urvMMhO+g/ljRylL
+JTbMZxm6fI79ARx33yTKajZ0nEs9EXD7J7CsxDemzQ2Btonc4mDOHMwKMxM7
+yCFoNdIuQOm/IPdPpT29dQhyS1O02ffngZ5/W/NUyRCIyqt6Hr+3AMFXzHaq
+pwxBFzdxbV3dbzCpPeXtGjoEFcT5vI7WPxB6gfUm1GMIVEWFPV2aFgFWyI9U
+Wg3B15s/RNR7lqA7tFmpWmcI5On0bd6eXEgbYgwmFYaAbdf/Tn+UC/mVjlrq
+rxkC05HuXxVe3GiPeUNByyIJF31dPcQmuBH9eCJP3BcSzCvT9ov586Axhf6M
+/j4SJn97BvP+4EGF9gdbz7aSkPP2arnXeV5UrhJ9zO4RCfMeeicuLfAiqdQb
+qjvvkyD1J87eJ5APbSmTtzbMJOGjSfQLgu8v5PSAY5YYR0KDQhtIR/+FsiXU
+9t2IIMGTyOPbQKOgHPWlnvAQEl7yRMYYCFBQgCAjyhlb9c8pMTchCjqwWslW
+D/vr9BbF+6so6KTeGc3vwST49VeYaUpQUNzYNRE37JDiJsY+FQp6GfHS9kAQ
+CbGHR2R9D1KQaafZvPIlEqqyN+o1xFHQ7QSkuuMCCRuXDIOexVPQ9inqjAh2
+rKNrzdNECnJvUnk150eCh0SeZl0KBakV3Gyox5ZI2Ly1IoeCWrLGSiyxg+nK
+MvmlFLRTWf1WwHkS9L22c0d3UtC4SsfJbh8Sitss4EY3BYktfHhbgy2p4hNC
+f0NBoZcuOmdjz46W/grro6C9T00rzmLnOqvPBA9R0MKrKCcaNmGzk+M1TUFR
+qPyp4TkS2nV0m6xWUdGGCPuql/ifRVVfWDBeQ0Vzp6otK7BNNB/s0BGlIpGr
+E1xZ2PVb5TLl11HRaPFwhi922QYiYFaWil78u6lLAjuZylJM2k5Fr/PZG73P
+knCy+/Q/fYeoaLNBWuDmMyTIWuQyX1lSUesOwYdrsAfa3s89s6aii+H+i0un
+SbBttnQtPEJFO3V1enqxTWu09gQ5UVFNe9bVaOytWbxT672pSNf2XsusJwlz
+nmnWJ25SUT99k/TbUyTcCrxDvRJLRdXJQdcasRWi7tdmMKiIx+juUim2zb1a
++f4kKgqo8jGMwX442v/NJouK1hdIzBlin/l7fYJZCRUx18YQNR4kkI4ZrJ1d
+VFQr/5lV5k5CwNncSBsWFaXPRNvcxV4RUqTr10NFyT3SXxOw9dIf3y19R0Wz
+p6XP+mOnvhv0U+Xgeo4ZCbuxDx+RFpWbpSJfeTvGczcSWiyybITECKRsftV8
+1hXPb+PIE+paAs01CzA/YQvtUlXkkSDQ/rWuZoPYVjI18z+kCHQpLiKrGbt/
+oiuL3EQg/rqEg6nYk1GU8TJNAvEaHXtmhB27eMC6WItAAxQRhg62um98XYE2
+tk3exR3YF4/J3srQI9BkjjVdCptHcbcG3Qjfh/O+8MffJIg2nb1sZ0OgjG/y
+AkXY1bvKRw8fIZAdlaF9F9vuv3mLQ8cItM7gQ0gadmY8Xd7QkUD/zaw1jcJW
+dMlp2eJKoEpNUY4Htu4SazX3BQLFvohRV8Z+7ysZvOBPIKc02Xo57KsfnUe+
+XySQuGiKiyR286vJqvFgAk0F644JYh9KJxxZ1wnkoXHkz9RJEly0dfPzEwi0
+0lZp72PsUxOvvg8kEcjcNu1iJfa5HCfD1SkEqr/o+PIB9hVa2FBwBoGOtXcz
+b2On97VKWuURiMqb8OsG9p0Ye096AYGS3RkC17EL905U1xXic7HhXZexa+4J
+225+QKC2hmsjvtg9l47E/q4i0GnlqghH7MEtY+93PCKQRemx80exh4cCt7jX
+EUhL1yrIGvvbvswXnfUEKkw1HtyHLSwxwpffSiBLpuGYFrZ4u7/1wEsCRT7O
+KlHHlr5G3F7VTqBzNOv4bdhbxlUguItAa1MaCjdj73/ke8myn0DME90b1mFb
+evG1RAwS6GDlzwZR7KNySWJ1HwhUrON/dTW2e1RNmcIwgebvXjMXxPbaY8bj
+8JFAm78IH6dh+88MWMR9ItB9pflICvZ1O67JhS8EctZ5v50bO3oFQ3fHVwIp
+uvYVLbqQwGDKR7tNE+jE9u3Gv7FzlE0UO78TKMpguuUndsH7Xn/KHIGOdtuX
+fccuYXg26cwT6HiCXM037CfzMS55iwSaVWgSm8JuKpYp7eeioUdqOV6T2G0u
+pUvCvDS0crhv6As2S8zA3PgvGmq39j73Gbv/BSs9iEpDtBRniXFs9mW3zyU0
+GlJtLfnwCXtcbU77owAN9f90qB/Fnv54I1JyBQ2t1XKr+4g9lyr51kKYhmT/
+besewV4yL9oUsZqGQhViKcum8IJfrQgNCc2UHB7GFqrqYE6J0dAI37YnHGyR
+0y6rFNbRkJ8Hv8GyJWVmnewlach7owGHjS3XHV4cK0VDHXv6MpetTBf/0yRD
+Q2Rt24Vl79C5Z7awgYa2ZUp5LPt/5i4SpA==
+       "]]},
+     Annotation[#, "Charting`Private`Tag$16330#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwV1Hc81WsYAHCrc34n6VIiI5KSFClk97xJaMkIZTQUGaXIKKQhKylEZWTk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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16330#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV1Hk0lV0XAHDjvc8t+iQUlbEyRYQ3QvskEUo3hTK8hiIURTQYmmRKeY2V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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16330#3"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{0., 3.1415925894756573`}, {0., 1.}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {0, 0}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{
+  3.853486874611707*^9, {3.853486906812972*^9, 3.8534869521745334`*^9}, {
+   3.8534869953777704`*^9, 3.853487034529318*^9}, 3.853487076780896*^9, 
+   3.8534871894251194`*^9, 3.853487304856558*^9, 3.853492164658205*^9, 
+   3.8534922764883213`*^9, 3.853492334235717*^9, {3.853492454466238*^9, 
+   3.853492481033432*^9}, {3.858852803428073*^9, 3.858852831926577*^9}},
+ CellLabel->"Out[15]=",ExpressionUUID->"d6e10034-cd6b-4d36-800e-9982c3382e25"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "1"}], ";", 
+  RowBox[{"Plot", "[", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "2", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "3", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "4", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+    RowBox[{"PlotRange", "->", 
+     RowBox[{"{", 
+      RowBox[{"0", ",", "1"}], "}"}]}], ",", 
+    RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.8534870966627083`*^9}, 3.8534871931102514`*^9, {
+   3.8534873144855165`*^9, 3.8534873177979517`*^9}, {3.8534925780239277`*^9, 
+   3.8534926085117598`*^9}},
+ CellLabel->"In[16]:=",ExpressionUUID->"b8aff626-17e7-46d3-a8e6-f170b25b16a0"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV13k01c0bAHDrvd+beJElyZZEQgmhe/VMiKi3LKmfZC0lQpaUolKJtOmK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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16390#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwV1Xk0lF0YAHDrzDtFUSEVQpYsLaISei6JULIkCSWVpMiWFrRaSpE9lC07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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16390#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV1Xk01c0bAHDrvd+r+FEolLUkWxtF6JlUiEK2NlLKkiSkFNJGqJSuJVvZ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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16390#3"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{0., 3.1415925894756573`}, {0., 1.}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {0, 0}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{3.853487097164942*^9, 3.8534871935492096`*^9, 
+  3.853487318357422*^9, 3.853492167513213*^9, 3.853492273910726*^9, 
+  3.858852834356035*^9},
+ CellLabel->"Out[16]=",ExpressionUUID->"31848cdf-de94-4907-a200-3b020c8286c9"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "10"}], ";", 
+  RowBox[{"LogPlot", "[", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "2", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "3", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "4", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "5", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+    RowBox[{"PlotRange", "->", 
+     RowBox[{"{", 
+      RowBox[{"0", ",", "3"}], "}"}]}], ",", 
+    RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.853487076166747*^9}, {3.8534871091831074`*^9, 
+   3.8534871096886625`*^9}, 3.8534871976717033`*^9, {3.8534872520745993`*^9, 
+   3.8534872662022085`*^9}, {3.853487331037022*^9, 3.853487362079129*^9}, {
+   3.853488775281378*^9, 3.8534887759655547`*^9}, {3.853492620660428*^9, 
+   3.853492621504117*^9}},
+ CellLabel->"In[18]:=",ExpressionUUID->"1746ef99-a21f-48a2-80e1-0cbfd168ea91"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV1nk8VF8bAPAZYQZtyhKSLSVaFC1Cz01ClFBaJUvySyISZQkhpRKSIlnK
+LiGElHMTpZIoKWsSRptsc2fBzHvef2Y+38/cuc85zznPc46ai7edmwiNRtPH
+H///noUkm3+s99niJNx+eksVCzR/1houubkbup/0Bhti80vWHOtIOAp6Wt33
+12GXUvBZ+pE7PG427tfAHpT5j/skwRvM34sYzsO+ptA451HNGfhvZEXRZCUL
+crQc0mmPAkAuq3RTGza5cVR3T0YQ/GHc6SnC7jSLrMtOCAWJrs674dh87dna
+wXXhsP5SwJnd2NHr2n2zayKgROHkMXlsmc0ZNc3lUeC467FXxxMWZG71EOUW
+RUNZ2I6EW9ird+jvUsu9Ak+ervxghV1jI7hlmXEVGAX7NacrWPD5aMLyewk3
+YHa+j7IVdqne6k0/GuKAf3gf+lnOgoCNN7sD6uKhWNIr8CK2KBzRzKy5Cfc+
+KxvdL2PBW5O6N+urEkHYmmeyAjvebLnX2/JbcD5mp0vBYxYssR57MlF0G6SW
+kn9SSlkwYLvv8OWCOxCgHrZfErvQvka4ODcZUuQNus6UsGDTkSgLs4y7oGDv
+u2p9MQvsPBU67ySkw4rP7KnTD1kwexOgJPMMmCo8s6q0kAWj1T7S3xsyQMkp
+JeB3AQuePG+vOFuXCb6vyuyt81mwrSFDkFbzAGpmP9/4PpsFy8w/2fw0yIJj
+VdqrerNYIPlG7IFeVRYsVOja/PMBC1qaPMwby7Mh9dDbtL+ZLDjSph83VpQL
+IYRRdPE9FhD73PsNV+bBk6NKxvGpLFj6NVn/UkEeWIq+kDx1lwW/ugRfFXPz
+Yaux0t8FyTh/PxrVTDMKwbNFvkk+Eedn3KEsKaEYhvX9+sWusOC6bIoROacE
+QhNNa/+LZsHH0iiV9XYlwLO1zq2PYsHhXw6DS7pK4LVRSob7RRZ4HZbyGf9T
+CsrVH1YeCmJBovF/l5Pnl4OynGjc2EkWdHTsOTnXvhxioV938ATOvz9YRySX
+w9tjk92t7izIfSQnc0q9Asab1fclubLgqUpDOqH/BG7Mjm98d4gF3+jqlaz9
+VZB67/TVYXM8v7Q5KQ6pVfBCMfS953YW/LeZF9zaVwXZA9sW/TJhwbhvi0nN
+iWoouEW8/mCM98fAhebYoKcQ8ln5krkeC7RfdQ2uT38Gr06kOg4vZoFhg6Wk
+yRkSVmdPKY38GoL5bTkfNt4kIX22hWETawgG+kVurSojQW9im0nWwBDE0mpU
+FCZICFl/Vdykdwj6DXXWj/q+gPo/kq76rUNw+bGUU5pvHUwVmROTFUPQnt5U
+wfeph6fmnsrfAoeg8JFW0Gh8PVTY3PvA8x+CsOeRxFBpPRyu7XGZe2YIVnQZ
+vWsdq4frY5k6mieHIFiuqC/PpwE+iFWDxOEh0Lh+XWq/zytoyVtgXGgwBKcD
+rZ3LTjdCKyf0497xQbD0MspjxjXCaXZzbt3fQdBw0f53pLgRgjtdb2r/HIT2
+HeIhzJFGGDU+9HD42yAYK9TeOXLyDZT8Mu1Vfj8IklWrWhjH34L/VT+GZ84g
+ZLNng8PhJpDqGoi5tXcQLvzkR5UGNoFTX3/W9t2DcKBnuEk8pQneBXg1/dsx
+CLMb6g+Vfm0Cc8GsbetgEHwTg/3F972Hx1KjDd4rBoHQ+1NUYtMMO5WW9DVN
+D8CpKrdYEY0WuGE9sHVO+gDuD7aqdP0W0OOEkIF3BmC0w+ix0LQFOBRd/3v8
+APhNLWyfPt4Coz4q3DuRAxC4pU6ZU9ACyJ03XHZiAC7VLyn6va4Vph6azb29
+bgAyWr68azP5CILtg0fmoR/QNrxDItelDcQ7Eosf1fXDv2St7RG+bWCaKVc7
+8LQfJK0Y4UcvtsHz5po4mbJ+IIrqufL328Aioy3M+UE/FPrA8OXvbUByx8NK
+IvrhIl//tYfTZ1Cdas9W39YPa2arRq12bIfsqU0Ze59/h5g1FO3Jwa8QdXNu
+7Ze0PggM2KEz5PEVOirGch8n9sEJlGovF/wVmitfq1yK6QOL3dsK/NO+QmLj
+/Eo5/z5geMft2fjjK8QuOO3Xu7MPIh9p51R5dkBxftnBeePf4MKqo1Y1oZ0Q
+YHXKIvB2L/joNN4is7uBfbh63YqKLuC7nnzU49UHyUJxG59Dn8Hl+T6buOP9
+EBpxSKJw1XtwHWsjycsDIF+60/Tnnmq4plvpnXNpCFSk4IfuWCYSISs3RgYO
+w5xQn8CWH6+QtLZV87c7v+Drkz5iYns7skg3eTCa8AcyJuOkl8b0Ifl/TWah
+lSOg82f3HuOSIZTy+il91olReBdXk7mr9w8yUt4qVD02BgaN89+NmI0hnb75
+AyF+4/Ce+vslfcUksmap1vmfG4flK7vW1etNotMjuhneweNgpZ7P6jeeROXT
+Ng7OkeMw5pC9bp7dJDJSiG8zTRwHkULvReqBk2innXSDVPk4iP3nf375m0nk
+WS+dkzwxDo4LXKpdXdgo9p1aZAJnHBI+UrTak2xU8nGty9WpcTDJzDSVPstG
+k322S0JmTcCKJZm37kezUfBMfJLTwgkQW52y3vshG13bsCB6ud4EqIneJnIn
+2agob8F/Fb4T4Nty7rdlKIUiP6OtswImwMowmut6mUIOIqeUbIMm4MuLO1Zn
+4ikk6fC6+U/EBNRLCW76PaDQ8XnB65femoAN7vGutNcUUvUfFLlZOQHEXYOR
+dbM5KHFb1b3T0xPAZnytr4zloJOn3QJqaZPwTfaTMCKJg0zuLbCdLTYJO5Q/
+r9yexkFjlKdo3pxJUEpRNsgp4iDrArWT35ZMwr+9p5f1v+MgpvTVTdZbJ2Hh
+zwMym8W5KLj3yCedS/j/3T5ogy8XTZob33OLmQSxb8IHfue4yLN0sXt67CQE
+iTwQz73ARYcju/gLbk/C/cAPej9juGiz9kF1fu4kPHhVU95/n4t4Z/f6NL6Z
+hOwDvrycFi46/U3PUKR5EiY21X/TbueiYYuFYkYfJ0H2xlHJB11c9FXp453i
+zkngjL5VPz3ERVUvdpNJvyfBQKtkacgUF/nPsZrnNocN/h1XRZ01eGjEX7sj
+TZoNRxJUD2hp8dDxPokHX2XZwFxS1PFjJQ/tK2vcsHMJG3ZKzDm+cQMPrT9o
+5qi3hg0S8udzbSx4aDJraxHdlg2e2p+cdnrwkOdctQBDezZ8lNjXtM+LhwYC
+aFvPHmSD3cDLM/a+PPTJErUNO7NBfrr5wppAHno8ajT9wZcNcr7Bjfuu8JCP
+0SartEQ2/NmeWOGXzUM0r8TQG3fY8D5sIudqHg/Fpo+WhaWyIXUtJ+pOIQ8V
+iOQvds1iw/3zHYqJpTzU36gwsrycDefzVzIWPueh0/yz6gpVbMj7otTUgXhI
+oPNxn+QzNjwc07yXVMdDSjdi0J+XbDhqkuc3/pqH9tpPxZV+YsMT7yx/vY/4
+fZf2N9z/woZsA96iwjb8vqoy3s0uNoT1Lvuz6AsPXVPydPH/wYa1Cw0NvnTx
+UMP3bj3DCTZ8cHtB+zbAQxu8atvrF1BAn12iqcrmofp0RaknchQcarjhOkPx
+kF2rP+QqUiC8fmVVK5eHvPTX5F1Rp+D62cJQh2keyuWnn7deR8G6Xu92kVl8
+tGHldBFsoEDzk/XqW6J8VH/kQL/uZgpGnXQslojzUR8532qhCQVdVfa9MhJ8
+tCg6fPFXWwqU+uc6Jc7lo5yqHps39hT0pfxO6JnHR/q/DKKeHqRAtqqsTlma
+j2x2jf9NdaagUI61MWIhH/VesFaPdaMg+unotTwZPvIsKdgXeoKCcTV1Qb0s
+H11Z6IqcffD48wV7f8jjeNvRhN1ZCj6y2i0HF+F4/kpapucpSK3RDelV4KO6
+jk9xy8IpCFYNq3qihONJ6TbIR1HwXULn463FOJ7RNR7zCgXiLS92eCrzET/d
+1OV3HAUGdq1+wiV8tIVjnLD2FgV/NZ1r3qnwUbj1xrqAZArqUm3EYlVxPrJ1
+x5/foyCe9+6ImRofMWdWqIvep2DERaZlEttqr4adZQ4F3fGh7snqfBRbuPhi
+XAEF/4UFrNHX4CPZQ/P6F5dR4PxtUejOpXx0oJS5wLWSAr18rvJb7FSmiEl+
+DQUHtrYqbdHko29Hp3z+Ifx+xVORedjqlZOZ6+spmJjJc5VYxkfH5460BjXi
+9Sg/0+CEne/Gotc14XxVv694hP3nWd9aZisFiwYbiQlsXZlOZ+vPFOQuuuy7
+ejkfnTn5KT6xg4Ld/7bsd8J+Utf0orOHgjUn1k5dxuYrvBpT7afAMrnMIw/b
+2AepuQ/hfNqteFyLHdZYZVv0i4LJdrHed9j1Ko/DJ0YoyAp/x/+AzQgoLDWY
+oKAjQEr2/79bNmd9D+VQ8GGvm8Fz7FjNNOlXUxT0f7nkl4PdGnx762waB44n
+6Hy6hC3TFudjJ8qBhFuLXRyxD+jEZN5hcuCRqu7qVdh3L0a09s7mgPnuHab/
+n19vRzBdU5oDFa/3l5Zgq6/1X3tSlgOZJ/ZfdMN2u+ztXKrAgT/Tu+ulsfO+
+/RfPUeZATt/eyAqc3z8bXF4Yq3Pg4NPIDzbYa2IPj0Us40C4pkTZD7w+voN7
+1d5q43iuckZe2E+MrG3nr+HARcnfAaN4fXk3zcP36XFAWPnhjAd2mMnm7/2G
+HNjcqfR9O94PL5P1pFcQHGjs3nYqF+8X8bGVW71NOdDtOj1Cw76erpI5tZMD
+fvFCZirefynTos4yjng+13UW+P1//+4RxB1y4cAx14CGJLy/1Qo5ZMZxDrws
++9pZqojnc/CX6ipvDnDU01xacX1UPPnQtz2MA6e8qo9X4vriznkz/1okByyK
+JQrTcP0ZudURHy9zILg9EF1YgOtnYUWGYzwHUs8oxK2Yz0ctp1OcAu5zwMTX
+Z6+OFB9px82f8svhwNmy5BVjuP4jii/d8i3gQErIV8VSJu4fI75vTz3mwASw
+LqjgfnHvpJX+sTocLyklppLGRx7Hpxm2/RywefTnbu8k7ldRvvethziwIDj6
+otUEDylnDxvt/MWBlvfRm8vGeKjlR5uP+TgH3D9MWJ0Z4aGNzkVdxiJckHtb
+pFvJ4iFRB8dibXUueD5K79rfwUOOQW07tJZxoXr2N9UA3D8rUywHNLW58Oio
+/e/4zzzk0bFBQW0dF+Juehg9beWh1n3zIuRNuKBmwBL78oaH0mzJfaIuXDBS
+TO22rOYhA3N1QU8mF956Xi93v8VD+g/eXn6dzYUzSvqli27y0Gqh78LSfC70
+xkk/fBXHw/X5UiuylAt+pfdeKlzjIanlbnu0X3DhX+/DmHsXeahHPC/Pv48L
+t+XChjS8eSj81ao981R4kJ16seyUGQ+92W6QR6TyYJHNz9Cf/7gouzTZoL+Q
+D7mSFirWq7jIY+qw9tdiPjiOKU1FaXOR7vYlSs1lfNCKz2quXc5Fz77en66u
+4cPOGX9fPXUu+iQsRPHv+NAclWuyQp6L6Na127f+5oPau8ZEKzoXHfnVb5uh
+PQVez2prrrdzkLp+tknS6il8fxC4jXzioOEQd71r66bgxfeaLJtWDvKT/iNz
+bvMUTO/THFNo4qCrm9hfdltOgbqB7BbyBQdVX2I4Ck9MwbCLnt1RfJ+R1Vjp
+4Zg/BXWZU5qzLnFQXMLVfflFU3C2O3XaI4KDJEV+m0yWTkHaupdbP4dxEO17
+vlLM0ymwH1NZURrEQX/Slr+veDcFe30TBi75cFC9oobunJEpGNMfLis6gsez
+QJGqWTcNg1Kds0U3cdC/8PP94hunQUntZMSL9RzkMfa12dZwGuhfIn6E63GQ
+U8vtXNa2aQCHc6ek1nDQzljZgwvtp2GO428Rk2UcpCEp/cwjYBoyBpJGQJaD
+PtKZFxWeTYPMYwv5m2wKjRQlO9qQ0+C//JnlswkKSRzSMYyunwZRtZtZw2MU
+Ih5bT042TcPU5vNtliMUeuRy63hLzzRI/Fjnup5Foasv1a2ihdMQEmWtkN1B
+oRzv8uW1s2ZgTZjxE/pXCtUpmYmyGTOgraFw17mdQvwzJ567zJ+BVa66pjqf
+KPTf0pI1W9Rm4Pau7+ZDTRQyjTKWYZvMwN3MsgfTJIWc1n4Y1TGfgbBy0zux
+iEJBPU7vXaxmwOpDzahGLYUer4+81LJnBoKjsz4dqMH316G33MJjM/CjYNu1
+3xUUmjY70ONyaQbyuhvnPSmk0KKJn9XJMTPwS1GSfaGAQnrpQUktsTNwKFfZ
+3iqfQh6ctN1bbs9AS0xrzEgOhb7mDr5QyJsBFVHmP8f7FKpgnslpeTMDI4bc
+jOFkCg0Fh/+tfT8Djd/b3/Hv4PeP3dAvap2BqqGkOfOxgzse1l3pmAF7hamv
+25Lw/AqGek1+zsCGVrfslgQK+S9ha679OwOs3QH3pvD9PC9h1imVsRkILU9+
+vAJbKkh1aoo7A85jIxtu3KDQR6tD8hVMAVz3Na0JvUYhUfI/xwezBXD85uHi
+l1cptEE/IDt+vgAoxniDJHbK4kQ9r0UCuJKx+Mj9KxRy/vt+93ItAayPMzPl
+XKJQgnN3kuxKAczJsDyyF7v+86+eWboCaM6MuFceRSGtWoZn30YBcJY+vXUh
+kkKjsVsvJ5sLYCQn98ymixRSn2XzIdpKAGUbPrc9CqfQ3gBHOf/dAtByMnLW
+wq46GpRlt18Acb8vzSwNo1CobgUp5S4AkwXLbEwvUKgk6yWD7yEAAeyUbwuh
+UP+ij9bDXgJoWMqY445tRv/XXe8vgHPtlVFJwRSa+1GLF3JJAErnv1coBeH9
+abaR8IwRwIXOu1P1gRTyfbo9+lCsAKqiH/j6YLffd5HdmCSAApNG9qfzFGLK
++zhopghAcpa/SAz25quhDxamCWA4MGHrNux7Z1LXjmYLgJ6x5AA6R6FmVsG5
+3nwBqAxL6V7EpjlUo6YiASRpuBpaYK9reS1eUyqAWVuPBEpjHzNt35VfIQCr
+Lt2/PQEUSqoaSLxdLYAbRgsSi7AbV050RT3H+XfW8w7D5mfQNfxeCOA1/+WF
+fdgrZed7uDQIoNN3rG4N9sLimofZbwQgduCYs8T/n7dw/zf8Hud7u03DkD+F
+vvcvWLfyowC6NYdGXmM3Btf6ebcLwPLdnt6H2MVyHpWPOwXwnv3y5i3spBJZ
+PrtXAAf2Oc67iB1i+cLI4IcAVG+a2/piHxvwDA1mCaDSKvPgcWyrC4vq0G8B
+zFWO0XLEXreoXnTWKM53tnLtQWyFx97mZpMCqL3sp/h/03YqxVzh4nhnsowd
+sFmDr5qapgUwqEoud8VuDvWdN58uBMvDX76ewn6isMRuj5gQls3i2ARj3yt7
+k5gkIQQn6RVxsdiRu85+6ZgjBPO7fklZ2J4sVUXlBUI43N7jWou9J7zJwUlO
+CIzFx7ld2JuVzqU/UBSC8V+pvTPYahUa/UNLhDCPeuuvjvPH3P1hqbaGEByk
+U52ssP8NB7qfWi6EvTvPSp/Dbr+4rKBERwhiv3ZcycN+vvjjn4k1Qmg4LtnY
+jZ31JGTNRn0hvAnKei+D19v3V1v5cyMh/Lg9d1Uc9sHIMA5tqxAknR5e+oRN
+LFm52XS7EGx3oBxFvL/m2kWgt7uEIEPUGZRjs3+vFplrJ4TQII+H4ni/dkd1
+mtruw89v5g44YBdUr337xRGP96R8rgze7/F7emYruQrB75uVrj/2ub+Xdzu6
+C2Gwr/BCF7aZWl/bgLcQNIbkPUpxvayquSqv5SeESfXH4uq4nmTsNx46eU4I
+890S3ZP+X2+XY7+NhQnhxva1Z2NwPV4YNfoliBfCt39EVTquV7eY4ZUmSTh+
+bab3alzPO5cmekel4Hi1Ej9JbMUDvyelHgghsjBddQz3gycoWbioXAg3K1cm
+X8D9497B7SYOVUL4+1ttvw7uL5ETo5Hpz/D6NEBbF7bdcgvJZQ1C0D19QNLi
+Ml6PWEpGrx2P7+LqQ7tw//ozuqRuVacQxjVFT0nifvfLztxbq1cI+z0KyLfY
+A3J33igPCcFiqFvLPpZCnWkGF5gUfv5u1lgc7p8u+2snRiRpxPl4b7Es3I+d
+L9tZ/plNI0S67ScScf92qh7K+DmXRtDuyypdSaHQEaV51gMLaETNMy25oFQK
+Hfh2NK9DkUZonvV9GJVBoV3u9CP12jRis2Ffvz4+L3beuVX2YiWNEL/dvOYg
+Pk8s36yQRKtphMI5dlEYPm8sdOwqq9fRCAPLa4YdRRQy+XdfungzjUhy6Y8p
+eUyhTQGmr5ItaQQ/W/cU5xmFNKKj13h70IhoZkT0d3w++rbrX3DxpBF79c+N
+uXymEKnZ32TvRSNOXi/dz8LnqWO9kYeRL40Y2jAty8Pnbwp9PEsikEZM32Wb
+En0UWhDsoJh1hUasXrmGdPhLIRGftWIdeTSCiD4b0SjBQbZk756mAhqhs1ln
+JFeKgzLmXbuPHuLxX2ZvjpnDQVseDUFOCY3IFdUO2C/NQYG/7waeqaIRe6LO
+OckocNC4m/jonEYa4QCZmvIrOKj/UFenCYtGaNRfeWRgxUGzjffnOv2kEX9S
+BtSydnHQepVPZy78phGmQuPP0jYcdPnH29lP/9GIsqdBFLWXg9Z4Pt2ylksj
+lBQeTrMcOSg4JPm+igSduMT36nU9g+9fGfs9prXpxERMVEtVGgdZDH7iVXjR
+iUjNzsgwAQeF6MQGFZ+mE+I29eHn8H3wsY/FTJ4vnei54TflK8pFSoJntFR/
+OvGyes9Rb0kuGpHLYVy8QCdW/OKhKDkuSrQ4J2sdSyci7GduL1/DRX2Fi9cO
+FdGJsvxTlL4LF53zdftP7i+dKFpYX774AxdZP7lrKecvQnT2bcgubOehkWmP
+4FmUCKGbrW1/mMVHmV/Cy73OzCIoy7sD+0SmEf8/Y6fzU7OItEazHkvDGaQ8
+E3/YJ1CU8CuSevT0oAANmV99yxQVI8ItwnpKQoTo5bImWHJVjHCInvpyFmik
+Zew3S7nrYsT95odX9LfSyBb2uP3cG2KE4iKzDeMmNLK3XsFTkCBG2Gk/D/Ew
+o5FcF/c7vSlixJ5yVrn1Lhq5Ml1kLK1AjDjj5m4yeIhGJskb3Fd5K0Y4f55U
+ND9LIz2YOaJqEuKE4xXNd/U5NPKdyOXr26TECb7BCmXHPPz/mRNyx+eIE8mn
+Zi2m8mnkv7FVWoXS4sRSqbkq6kU00q+rwmq9ojixX7V8nUcZjQx51JCwQ0ec
+eLOp88BTRCPj9g6q+u4SJ55ePGl78AuNHLN+nZ+4W5z4EH7i0+uvNNJuR/66
+SltxYglBTut30kjZLadMp+3Fiewu6+1SPTQyZTnb/ZKjOCFqY1yU208js/ii
+xSne4sSxiHkd6X9pZGXGUuOX8eLEXDUjZqwInVwqNA16cVOcaEJ5Ms9m0cm4
+I27V6JY4oc3Ko4ZF6eR/ijnrnyWLE8olQkNg0EnFxOWrKzLFiYve8S09UnQy
+OFpbJbdUnPjiVbzjhwydNPHSpV9tFSf09q8UzF9GJx812cCVT+KEWct9FcXl
+dFJJxyck+rM48XZ5u7K6Fp2cZJXyIjrEibsBD0pXa9PJbGe98eDv4kRMljNs
+Xk0nmfYbfniNiRNcjfHNShvoZLOhUYOdNIMQdQ9RYWynkzFVZ6fMFjII4yQz
+AQvbfH3xWkNZBiH2hPvhtRmdJFerp2koMIi2Uxm7Ii3oZJkaM2BSlUEcD/r2
+bNSKTt5htGkl6TKI8X6ov21HJ10/nbzWsZtBSJ1b7Kh2lE6q2mTXvbfF8SLy
+Xb9jdzf1cl/sYRDWxWEnMpzo5L5Xtm4F+xlEk1xngJILnbSo3rgl6CiD2Fk/
+VCjmRidXp88aXezNIHw9qS8FHnSS63F3j1Msg/jNjYwwPEsnbwQ+YITGMYhg
+l3OLfmEviymsuZfAIHqlpRNu+9NJ+/waja4kBsF9kb3+XwCdfMzqmrBPZxBj
+Kld3xwfSSc9jixOtSvDz3yb3Z4bSyVl+Sy08HjOIoi3/wraE0cmUiJXTl8sZ
+RMJn1zud2G/uGx17VcUgpCN1b827iON9d9Df+oJBrNCK/OIZSSf7jtxr2/CR
+QchoChnsy3Qy4FT2Zfs2BsHYwnQJv0In54YUGfm1M4gDkbvKZ8fQSePU51ml
+nQzigy97m+pVHK+zx2/lDwbR+jpa1fA6ndy7f4ms+iSDuNo8s4eIp5ONNun2
+c+SYxHRQdNW1O3TSo36wlrGISXzeeXnWOPacTSu1RBSZxOHwf+f2JdNJO5Vq
+PqXMJKY6ygcWp9DJrr8f0/s0mUS+1cGm9Lt0ciRG/FfZeiahyDAyupCG969g
+555HG5nEjN4F53ZsPd+bz/IMmMTBDk7lqnQ6ee6g6o17xkwi5c1afge2iNZm
+/ejtTOLuOmGvViadlG04deGQPZPg3+0Jz3hAJ6s2lbP27sfjjZ7z6zf2oYd8
+m90HmUSeQuGVDVl0Mu1mtIbpESbhws86/QZbyyWzcZUbkwiZeMAazKaTRsK2
+BfSzTGLOkYHXvFw62eurFDzlj8cftLF1Ux6dDB9yHmSfYxLvHc/LB2C/ej9S
++SuYSWyvnuswhr07lXmkLZJJ+J/d2NydTyddDIxycxOZxFLDq8k3Cunkib/v
+2d1JTMK2ty+gEft05lHTBclMIspU8gTtIZ0MlYj4HnyPSfyTtY06hZ3a8UbJ
+LodJZG4qLjYqopMPrh/2iM5jEtD6cLUXdsHWv1XPCvD8W6xepmFX58/ft7yY
+SXjZPF09g91+fn/cdCXOX7aKfPEjOtmz6mfv2qdMQvcB16oDe+B74Cr3Z0zC
++tTQHZFiOjmxI+1tK8kk6tOXBNthz1ccFM19wyRcX1z0ZmHLN/vv6X7HJBQS
+r3tKltDJJReZ96Wbcb4tXkasxF71SweCP+L8KaXRvbAtn/qet+3C8Teabh3C
+tvUSbbzUwyT6PH7IipTSyQPqSXLPvjEJ8yJXcWVs95jqsmUDTOJleIOhDbbX
+FisRhyEmwdglEv4ftv94t038MJOQudPeH4odeYg2MvWHSVAav6cLsa/OTTBa
++49JVENgBYmdUKdx9fgYk7h1Y8vVNuxMbXOtVjaT0HCdiOVh5/V+9RfnMgll
+q2XPJR/TyZIEjwZDPpMIWr1QQgm7ln/dJUfAJAr8YvmbsBseqZR20SSIhyV2
+GWbYTS6lwvmzJAi3ZKNje7Db5LZZm4lJEEU6rmZHsbvetqUGMSSIky1dZh7Y
+/ReO/y6RkCA2Ojx188P+tY5rMCQlQQzPlX4Qgj02dOWy0lwJwvrmqCAKm5ui
+9MVmvgRRL3A/fx1baF2keWmBBCHRGrkgEVt8FvjVyEgQ3yfs3iZjz6lsqRuV
+kyCGnnZnpGHLnHSRXqYgQez5oZ10H1tJZfLoYSUJouOmaUE2tvqnqEdxyhLE
+RYc1PbnY2tHyMw0qEkTMhn+r87HXGuZbTalJEPaRl9L/7/8BNbY33A==
+       "]]},
+     Annotation[#, "Charting`Private`Tag$16680#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwV13k4VF0YAHDGDGOpEEpKlrJVqEhZOieJSlkiZZeyVkIisoQspYSQpZDs
+W2RJqFOWEpJKIknZmbKPmeHiO98/M8/vuXfuPed93/OeM5L2V045kNjY2Cj4
+4/9vDsTTPqjqcbC1i6lOcaeB7eOvNcQfGALhXIMyduzFUqULPXG2YKrunhDj
+Cg2ULYBvAiVOgEWrvDCMPSzkzKyKuwKUJt49acO+K9q8pqT2KiAZvWktws6R
+s0pnK/EBuklPBsKw36hNK5tk3ACaEq4jZ7B/6N6qz44LAndlRb9LYS8q8Cn4
+1wcD+47iihE3GojY0+WZXRsKdLfKBj3FFlLPqG2vCANHl0L3mWM/OeRKZhZH
+gLFdDT+4sBWPqZyUzL0Ndp0fvPjsMg3UGq0kHM+IAknyg+OG2N9s42Qfx90H
+rfw3im5cwvPZq7h/sCkGWNeum+HE9lF78NOnPhY08ARIRV2kATKw3v6k9gHw
+cu7RD3SlgRbt+g+q1fEgSbjx8D8XGojVlXVrqUgAOtmBcqexxQ1mquaKHwIB
+Z/Pqdc40MGRsZhlZkASWDb3O2zvRQOHp2tXNuclg9y3TpWJHGthvHXZUNyMV
+xCyenVFyoIFTl0R/JMWlg8LhjQu/ztEA336AEvUygEU9hYtlRwPTLz0E/jRl
+gEMnHpP5sKtedVVeq38C0Fxd02YbGjjclLGSVvsUVEmfsB03pwEZva9G4wey
+gEXT5m8tZ2mA5wPl6d7qLPDqiLda9hka6Ghz1WuuyAZF/aVvdU7TgHWnSsxM
+cS7gVn9JUzSiAWjmNKCxMw9sttBt+m5AA9u6k1XCC/LA3+t7o3xP0sBE70r3
+ptx8oLl7w8/c4zh+g82SOhmFYJxlF/tMB8dn1qo8Me4Z4G6P0LmoRgP3hFM0
+36wpBc8/8O3wV6WBL2VhW1VPlQJBNIBu7aUBywmrYfHeUvAAWM37K9GAmyWv
+x+zfMjB45noEtywNxGs5RybzV4ChEu+TD4RooKfH5OLa0xWA4X1OaKsgjr83
+MAhNrgBr+xiRmetoILdEROiyVCW47sfyi+GhgZqtTelQpQo0h3IGU9looJ9d
+6sXomWrQR8TyuIxPgG1pa1KsHlWDKtPonCsjE8BZneX/+Xc1IMVembo8OAFm
+PTu0a11egsXWggjjvglAHgpsj75RA5o8b3VUdEwAhXe9w6rpdSBGzvkFrXIC
+aDQd59G++gbA1miPTX4TgL8z55PagzeAsfTxn4X3BBgaICXsKn8D5J44yMR7
+ToBottqtonNvwBdF57Zp1wkwoLFDddrzLZgx15w4ZTkBIp/z2qV51gOFCNK5
+GvUJ0JXeVrno0Qi42UO/C8+Pg8ISuRvTsY1g1vBJw+WpcXDz1S04UtYIlB0N
+XV9PjAP5Xs3WzzONQNV86+ixP+PAX6T4d55HExhS+vuIu30cSN+7x3vG4x04
+KCX6d0fOOHD3MzhX7t4MohU1ni0ZjYPjbpp51JhmMDzn8i1cH99vrzBl/awZ
+JAgWEDy646DrGGcAdbIZpFFlDFbUx4GW6Osk64sfQPjX0KWYbeOAp3pXB5dj
+C+hoyL7quDAGsul8wMqyDbQV/fX9HD8GAscXw8r82oDS/dRc/+gxcLZvrI0z
+pQ0wVQo7JSLHAF9To0VZdxu4b1uz0/TGGPCM9/fmNPsI+oI1vjqeGwNw79/i
+UqN2EHJSbkpj5xi4XO0QTZLuANt/Jghm143i/mAswa7SAeie9fZfK0bBdI/m
+81WdDuDDP36VVTQKvJbWdxGOHSDKkN698/Eo8DtYv4VR0AH8/VuLlANGQXij
+eDFtz2ewv0nBs0hjFGR0fG/t1P4CxDReqno9HwGdY8e4c+07gfpdodTDEcNg
+KlnuSKhnJ5B9ZUHlDRwGPPpcwbYhncCWpa3b6jUMYHEjc0NmJ3D/LKyyz34Y
+FHqAscg/neDAh7TuSs1hELKo8t7V7htQbTt80mp6CCjxSYQp2nQBu9K2A7qn
+hsAdpQW2KvNuMHfJAcSxDQKPHc0Jb7J/gofBpYVvb/WDxfMXS/rcfoPInE/W
+F6S7gf0rM6MYxwFw+MOH1H02HeD8TOebN5FDoO1k/aamNXXgrvKLKznhI6Cq
+rumbuU4WIr15oXbLbwxQleUb+KU/IAEF/fb+pAlQyxjtaeLvRkfTtZ9Ox/0F
+5zkKD/bF/0Ebptp0g15MgsHEtv4/T0dRyvsadg6XafA+oUuTdukf0txyaFXi
+wgwoEI8VLFKfQUetOj3tnWfAydAHsrxHZpBpqtPI00szIMPw3MQFwxl0UTT6
+o8y1GRBUIG5OvTCDUoR7U3eGzwDfazWLa+7NIOaaa/v3582AX5aK59b8mkEV
+K3kehn9nwO7NKj9zbsyiHb/5hwK8ZoFh06fR8qdzyGBUot77+iw4W9XHPlk4
+h9wnlTOu+M8CWiRtXrJiDlUQRlbnbs2CTzqHTH0a55CmaGynTvwsaJzoC/g+
+NIdOnBJo4q2YBYdnQ764bJtHlxoFcpLnZkH/yp7HtWnzKLpV8lYcYxbwqKhv
+kM+ZR6VfdttHLc2C843ps/eL59H8b2PxAI450BfY+/ZY3TzyX45NtFs/B1JM
+Tl+93DOP7u4TjJDdOwfO+YV1ewrSUXGeoHOl5xxITjuq5BhER7e+oUMcPnMg
+DlKeR4TTkRXpspjxjTng+IRP4sk9OuKxet/+N3QOhAfyVNem0pHjOn/VbQlz
+gM0h7Pn9F3Qk4T1MevBiDsQQAuNl/+go/nD1Y3diDlwBXio/TRbQRXcHn9ds
+82CZpPKSZb6AtB8LGvNR5sHpLe1b19ktoJmFS+S8NfNgu0BKouSlBWRQIHmx
+X3weZJaL6g+HLiCqQNR+g0PzQLFofv142QLy/2X9dUf4PFD/mKMyzcVA83pa
+jx3uzAOxmfRYOh8DXSrb7JQePQ+SM3Os5wQYyPJW76Lgw3ngduquYbcYA6kr
+mEst5s6D9Bv8DD0lBmJdM/Vo/jAP/mz6efGtKQN5r9Ff57CGDgY3sr/bn8JA
+k94KPWkCdNCX3m5oksZAjr+5n3YL04H7b/1Wx0wGMitv3ndCnA6qGm0Krxcw
+kKq5rs1eJTp42DOTdrQGjy/rUDG7MR3w3m2ef9zNQB6a+/XT4ulg/2BBwxF+
+JmJziw+6n0QHOjk3ofF6JopOny6/+YgOLNJK1M6IMFEBKX/z+Sw6yC5D+ac2
+M9FAs+ikbAUdPOX7qUiVYyLT00sxZV/poGPjI3vPg/h6+JmmzO90EHH1wIrs
+ISZyry5nPeilg/z3RS7dh5nortgle+9BOrj0Vf2d/DEmavrzc6/GHB1ELgru
+uW/CRPvcXnc1Ci6AjQnrm1ycmKgxfRNvlcgCyFQ1Y/vkwkSnPnuD3E0LYJJr
+q6PSJSZyU1HKuy21AC6J3Gz+485EuYvpvgZ7FsD+e/+i1vgx0caI4M3dxgtA
+PdZxb3gUEy2m69jTYvChb0ESbS9kooMMrbjdCQug7+16OeliJgo2UKv3SV4A
+Yjm+DWLPmIi6LC9FzlwARR1PS1eeM5GwxbqBzeULoDK1UutuDRMpC/04Z/Bt
+AVyLaJ9sa2aiqxe/xsb3LIAszQyp4BYmqqpve/ujbwE8DJSj7G5jIi0PJOk0
+gscPXeihn5joeHvWnyDGAvCb/mLJ+MZEDpFXzpWJMsCgTThFbICJ8vqdYxlb
+GEC8brDp3iAT/d1n/1ZLigHKtRNLiSEm8hw2lWxRYADjkUzpT6NMdFNb/c+A
+BgOEezmb6f1johSCfE7IhgEU0HJCFIOJOtxT7HwyGYD5sJYniZuFFGL4l7xy
+GMA2Q97uHg8LhT4LT/AsYICQgNZdN3lZaN+kZ8vl5wxg/m3LMZs1LPT4or7K
+hXoG+PfcUHqZn4VcHQku4wEGkIjKv9qygYUawzwzDUYY4Kx9G0fKRhbakj2m
+eWKCAbbKyzo7ibJQx2Cnh94sA/junm9Y2sRCaueKe7VITOD3inSBV5yFyFY2
+zxSkmKDzd/uGVmkWsrnReUxOhgnCJtVC/bax0IuU40PbFZhg9G3kJrnt+P09
++0Ql9zCB8Hu5gQAZFvpsti50gzYTzGRDFyF5FkozfmNGtmcCCUe74ZldLHRA
+T2ql7wkTNHXpEbH7WEjlaUvk+2wm+Gz86uxaNRZSXPVcX5bPBOH5V+7dxpZ6
+0SB3q4wJnBQlY/33sxCvrIOJwlsm2NhbeeO0Ogv1ceblef9mgm0rDY+6tFgo
++N0uk3VbWWDNu1DGHh0W8pfq6mNKscDPf5SgOGzvwEDnARkW6HBOPTeD7brv
+U0ClIgsMpBK6xUdYyCTHPc/yIAtMvDdb3KLHQtvDy5dzrVmAX3eD8sgxFvpw
+5EAefMQC77fxyCsYstD194GKQRks8HVfaX8IttyxxopXWSzgc7b7dC92+AnD
+t+rFLJCQ4hUTZcRCOiYOP1Res4C4cWXhuDELvbGL5ZP/zQJZl15/SDfF8b0x
+7i6wbRHcATbFfBYs5LisyDCUWwRPSxw8L2CLBHkFRO9cBNPiZU512F4hq7d5
+VReBnIrN1CVLFtpzW/gpRXcR3J7MeN9hxUIliYe+sZwWweXsqwo5tiyUXZZ8
+YKBwERT9vvQ9xQHPf8lSofvZIvBEUd4MbOUj4mLt5YvAucL0jqkjC9V1ZxIv
+axeBzaTuBn4nFvq6WohiWxfBO7WzrLvOLMRu8PrIIdoiUFS4fSH9IgtZTwwY
+ZygsgVWNL+J7PHH+VLK1ExWXQLyMZmwG9liA0967e5ZA9N5vBeuu4vEL/BW6
+rr4EflIbu6ewo/bTvxsex/e/Z2pXX2Ohl+FcNqsuS0B7S5CNqy8LCUvvdLXJ
+XwI+T6QNLYNZKCYuyiy/eAlUismL/sXmIdG058uWwNXPVz8FhLAQ2598sTs1
+S0A2gU7OCmWhv2myHytblwBfruWzpTC8XjZJK6+ZXALduzZ/6r6DxyO4aaF2
+DwEOX79WaJjAQlPBvgOcagTQ9HqSsYrtOtPdbqxBgF/nfyWXJrKQXcfD3NHD
+BFh0OZ0inMRCJ6KFzdefJgDv5S+/aCksJM0jUOfqQ4CWfQpNHzJY6As7NUS0
+jgC9p1OLThSz0GRxso3RGwL8iZD6I1rCQtwWOzQiGgkQ8qNcZAwbPjeYn28j
+gFB6262IUpxP+wTHjj4CbE4kX/xSjuPVIKUfsUoAgsNRN6kG11eYlhBdexmE
+nHBsG2hmoUrq1ZyOD8tAZ5v9QZsxFhrxD/73+uMyeHA8OfDMOAttnLmvUvx5
+Gci98Yg0nsDrpaeo/nbPMnivV7ag9xc/r2Dkl/b4Mmiurtl5cBqPX99iQyV1
+BRCWh70MmSw0HX0oMllvBUytFWlj415EO4X5Xe2bVoDIKpzz2rmIpqIXhPZ2
+rYJgl5bopZuLSDoiQumKKxtsmI8uT/22iAYsen9oj7JB67/pIZHyS+jo8FdW
+pRs7pM2yWTBuLqHrng7OIv/Y4fMUtRqz1iUUqT/ppD7FDtVcjlqEtS2hh9t8
+nGxm2OHJRgKWf1xCVV2Rjjl0dhhkFNnP17GE5tSLLuxbYYcemmSDF51LyI1j
+zs5sHQlaFwhYjfUtofPxN80Td5PgC267oaqpJWRQlXpcxJsEz787mjfKTyDn
+OftV4eskeLDWovaLAIFClRUqhP1I8ETR4LpXggSqLqjeIhxIgnrSOv73hQgk
+lf5ten04CRoV9Fvs2EighYh1DwUSSdDkrgDz4FYCpZmHDvJVkaAar6VS5078
++8TjSXzVJLh7d89Kzi4Cff0qcJKvhgSbN8lx+yoSiGqQUcX7mgT/uBR83KRM
+IE/tV7d53pGgknuK4Om9BNLdwVCidpHgNQczz6wDBJokXP05FkjQ7Nv26eIj
+BDI/qy/PYpCgXBL/kQu6BGos39E1ySLBwS3rfojqESjZ9a/Sj2US9GWqN4Yc
+JZBO9+XBUgoHJLnLJevrEyi13P24jTAHfFG0Xu+lEYGOunpvfKnCARNtPSfJ
+lgQqbzJrKtnHAc9XnTB6ii0uqeaZtZ8Dfl8JmINWBJr7zmi9r8kBF+hHVnyt
+8fyP+AY56nBApWBNuUFbAs1L+I+sN8XPY46OxF4g0JPvwRVuVzmgS+0mdvvL
+BBppUu6PvsYB2QIid81j76zo537mw4H/g84GhrkRqCpGy3bqBgdsOFsRm32F
+QG3HWNzutzgguDYR0OtBIGatu61HAgfctUOtSNybQAYZtjxeL/B8iHcu5EAC
+xUevVY1/yQHjFArQDewe/1e2FbUcsGp0rc4s9gVzscp5hMfv0dzzM4hAvoLf
+ba814+dtED2cF0ygrFsGld49HPDel5d2G8MItOisZee7xAHX8gbetYsi0PFa
+BXhtmQMudV9QqcZOXbNRwmOVAy6vm1ded5dAms9n+505yLAfBcnXYgcu5dqe
+5SXDdQsPpHijCcQRLWirJkaGe1+GREbFEMj09+rBvVvI8G7K7dxu7Kw9/8SV
+tpJhahKU3B6L6+H7+18y0mRoM2UkU4cdKRFgI7KDDPffFAgZiCMQX/moNV2d
+DN/flv/Bn0AgK8o3rRlNMpyPUu40wS4+U7/l30EyrHxgp5SIbUA86hvSJkPN
+lVEe0UQCxRw5Zd15nAxFXGztNzwkkFB3nVW5BRm6GAXMLiTheCkUaD6zIkOj
+Vuoe5WQCVfo/3Fxog5+fm9TjjG0m6fkz054MFd0j7buxk1xlreJcybD60Vrn
+0hQCbVmOtfTwI8MD3X+zdR7hehs4+fKhPxle9ep+eB3b6z33hteBZBij0dRf
+iN0SG/yFJ5QMw+KZV/kfE8hbxuNYVhQZOhH7Xn/GfsK7K7flHhl6fUp2Z0vD
+9TE9Rp65T4bLb8sDFLGla+3eaMWToWyyW0Ekdoehkdr3R2QY6/DKRjWdQEsq
+fAnLaWT4WCaeYYMts6l5VvoJGZIi/01FYPsPgRL3bBzPdw/Yu7HlfZW285SQ
+ofmDZy/dMwgUkrl2vRYiQ4MEIc6wJzi+ES3u59/i+Qvr/M7C7r4U3n67gQzl
+ZhukG7EV1VZud70nw0NNyuNsmQTqbf3H5t5BhtKfFYOuYnOW5dskfiFDqSzD
+ymjsPYkOdXWdZLhB+7V5PnakXZ8Pdw8ZrjXimv6JrUJvm8z8Q4aTaPC81lMC
+2f6IPPFhkAxPZPCJm2LfwR1+apgM1xfe1XfF/n27zkFzggwNV0Q5ErDviRf9
+/DZLhhlfZBcGsas5nNWJeTLUk3lvtYA9NCadJMUgw3PVHRrULAKpl6eaXFki
+Q887JQ4K2CN6US1UMgUm57r5OWPb69tJbOekwBnGopc3dp+BqvchKgU+aEQz
+odidp/sl/fgoUKPWxusxtpF5hU/iWgp8Qb1yIx+71er2x+f8FJiwYRtXJXb9
++b2+NCEKNPUfL2nBPuhE/cS1gQLjfZXbOrFfuvZt2yZKgXvDbrv/wi71iOiw
+2kKBr/P7jaaxd1yzkvHdSoHPOtZHM7Fzru/2T5CkQE2JZlO2bAI9DuqVbd9O
+gZS3W4PXYm8MLQ2YkKXALa6Lo0LY8eFhXzkVKPDHeMOPTdjr7ljIS++kQGVi
+g4UE9p17SkFAkQL/nYtz3I7NGUv+ZqlMgR/729kUsIPjexSu76HASi0XeUVs
+4mHJzXgVCqw9svx7N/b11NCu0n0UaN4gI6eKPZ92dufH/RSYGRK8qoZ9JXNX
+yLg6BR43zHdSx57IJnVTtChwdO7AOU1sx/zvu6QABa498OmvFvZAUVHowUMU
+GDxE5gXY1qXBPRaHKfBCtXfd/+4uN1PyOUKBZz3fsENs0xc7wh7o4fG0BPT+
+f72jhq332TEKfHX1+PH/rf/6m3KbPo7nxnqDg9jv3haEj52kwMPWN8f/f792
+U9BPshEFWv+UENPAft1sukfyFAUiWTC0H/tAm3yklikFrr7zPrIPu+LTSp+5
+GQXW7DsP9mIrf/261/ssBQ6Opn9Rwi7qyrsdZ0GBUwebV3dgy/4I6C+xokDS
+A5/3stiZfadUW21w/ew6piCNLf5HNmrUDtebXrecOHbKEPGb4zwFdq1507AR
+W3js8z4JBwo8mZy6JIjNN3Vj4KwLBcoKpehwYkfOGu2/dpECm/pnzVZxfXAs
+bI+OvYzzKVtI/b9eFolPB1o8KDB0bfaJMWxvtuz7I1cp8PqY2O9+7BkOv2GS
+NwXer7AS/o49xrMtVsMP10dmtlMj9oW1rJEz/hSooDcQVoPdL9Cu6RVIge8H
+jY+WYndtvD5WFEKB2nO761KwG2TagHgUBf5cfed+Eft4dP9xkXsUWH7+SJot
+dgd99vTa+xTospPzpgn2r0bRSytxeL4EsFfHZto7Jf1KocDCXJlnZOzAFr+n
+XY8okG/w+N3/1zNlT3RJexoFDgjFSo5hC7JXNr7OpEAlRQ/vFuyd6aSZtAIK
+fNi42BWF/ZxThEgsosBPy/khN7APuMlz3S/B+Rw0mfi/n+hqGW0Jek6BQ9+D
+p45in+t9fMy2hgJV9XN+sWMnbjiQubWFAneMP61xwv1qc9CJ4g1tFBjwSt7W
+BPvpiG31unYKfJly+P1B7NLK8PbVzxS4Z0xoSAi71aRzsb+HAqsrDa1f4/7J
+FnPFJGOcAt/dKa/ixHal5pAluTlhSQvvIXfcn1tJkfcO83LCsNOH6aewdy67
+iDiu4YTboj5d/b/fT83skisU4ISmH5S+sPB+4NVbqa+6iROqWlK23cQOKGmK
+O7aDE3L++ZgSiveXGNNhCc+TnPDHUY06l1QCvcjYptUQywnfFXrxfsb7ZbuG
+ZtMpAS5YnRPeFH8P94Pqa0u667lgeu6Eqzu2nuqz3RrCXLCsM13kBPYbRak0
+aVEuWDesEcKBXS5J9ZmX4IK+cb+ee+LzQRJXp1yiMheUN159dQqfJ85/vXi3
+x5ALVhGW0WK3cX5dU03sormgRfvNuv5bBLrv95QrKIYLmvHK+NZhy9wprH0c
+xwWHSrlPJWOfzq+V7k3kgipajeYm2M9He+dOp3PBzFc+H5pDCXTpwuZ4/VIu
+6POG79LLELw/WD/u3PeFC76M3VhTfpNAPpezI093csGVkYV78dhrA4o1vbrw
+fIz4Iq5haz16lVX2gwtaL/SPq2Gn/Ojz2jnIBYXv7vR9jc9TpmfEhaXmuaBg
+Fj/9Cz5vNRuln14jQoWG5lwksQCcv8bh11wbqXDPTp9nJOw1+3fKkTZRYax+
+UeiEP4FObX25uLCFCt2i1j6pwe799yX993YqlNVSr7DCnrzDOVGuSoXT/Ha2
+eTdwvlZOmJSoUSF38O67cdh7PR/U5R2gQiOgM+CPfd1c4v5jLSo8kfeW5xQ2
+SU5dJeIIFbKnixiv+OF+0XQ50OI0FVY/n/9sg129v2LU9AwVaufefaqPbVG0
+aGRoToXyN2Iz9mOnPYiQ1rGmwoCsc1vWY8vZP2ne5UCFjcm3t7f44vPfaqcg
++zUq9P1odQdi//IU81/ypsIPVRsllbGDR84N069TofKDzcNbsd99nHwx4U+F
+x8ec6KvXCWT4iGrdeYsKm179O1CPbX9AMzc3ngp3vSh3NsR2+feR/jORCuUo
+K4YQ2/2JrY5gMhVyaGZ57MYO4g794/+YCnunAy4IYT/q+SB2KocKX9Ef8/b5
+4PV3z9I1Io8K471IHz5hFxz6V11XQIVsh/Pf1mO/zOc3k31GhT01sg752F2+
+Z2KIF1QIVZ77+GL37Rr/tbuGCiOrFwTcsIf++O1yqqNC2nOdMXvsuWNpLZ/f
+4PiYnTl2Ept/0zA59wMVum6s6N+GvaHd2+RnKxXqXM+yEsMWD6FmCrRToaeq
+rogg9q6JHcD/CxXSvcYAG/bxGk9f414qZFx66NaPz/vGbuTm8D4qVIugfP2O
+fVYqUaSunwozcou9OrCd7rwslxmiwi3co1fqsd0O6pOsRnD8k+I/1GJ7z/40
+ih2jwoXWCrtK7FsWbJNLf3G9Wd7Uy8eOWhunuXuKChvEdR4+xY6rl45ynKHC
+RJPCbWnYTxT05D7TqVAl+D7zAXber25vTiYVnmdJgPvYpXGuTRqLVPjnT2DD
+HezXi/fsc1ZwvrIawkKwm0q2lvWyccMW4dqGQOw2+7JVfg5u6CabAW5gd4oc
+NtClcMMnf31ZPti9LZ2PbnBxQ17CYMYLeyDQkVbKzQ3PXNku64k9sYd5YISX
+G+oPklKvYM+M3I4UW8sNa3z+nriMzUwR+27Ezw1vfhrRvIi9alC8PVyQGybx
+L7i6YHNyAK9aIW7INrTluxP2mhcd9dMi3LDt2rlgR2yhi/YCMqLcUOJag4sD
+ttjWeVtLMW64R0g35gK21Newkpgt3PAYlTZ/HlshYsNy01Zu+Op2+cP/vVsj
+X39JkhsummRc/9//ASUewko=
+       "]]},
+     Annotation[#, "Charting`Private`Tag$16680#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV1Hk8VF8bAHDrzBCVQsm+FAkt1iw9l5TQTyiUEIqEFImKUimUEkKWhMqW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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16680#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwV1Hk4VVsbAHDEcYRKoWhCIZRSlArvSm6FMiZFJF2RJCQqGpShiZAUCSlD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+       "]]},
+     Annotation[#, "Charting`Private`Tag$16680#4"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, -2.212237592976218},
+  CoordinatesToolOptions:>{"DisplayFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& )},
+  DisplayFunction->Identity,
+  Frame->{{False, False}, {False, False}},
+  FrameLabel->{{None, None}, {None, None}},
+  FrameTicks->{{
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0], 
+     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None},
+  PlotRange->{{0., 3.1415925894756573`}, {-2.212237592976218, 
+   1.0986122886681098`}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 0}},
+  Ticks->FrontEndValueCache[{Automatic, 
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0]}, {Automatic, {{-2.3025850929940455`, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.1\"", ShowStringCharacters -> False], 0.1, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 
+       0.}}, {-1.6094379124341003`, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.2\"", ShowStringCharacters -> False], 0.2, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 
+       0.}}, {-0.6931471805599453, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.5\"", ShowStringCharacters -> False], 0.5, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, {0., 
+       FormBox["1", TraditionalForm], {0.01, 0.}}, {0.6931471805599453, 
+       FormBox["2", TraditionalForm], {0.01, 0.}}, {-3.2188758248682006`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.8134107167600364`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.659260036932778, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.5257286443082556`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.4079456086518722`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.8971199848858813`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.2039728043259361`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.916290731874155, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.5108256237659907, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.35667494393873245`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.2231435513142097, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.10536051565782628`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      0.4054651081081644, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.0986122886681098`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.3862943611198906`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.6094379124341003`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.791759469228055, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.9459101490553132`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}}}]]], "Output",
+ CellChangeTimes->{
+  3.8534871107244987`*^9, 3.8534871984496565`*^9, {3.853487255970744*^9, 
+   3.8534872689494233`*^9}, {3.853487334997386*^9, 3.8534873634001784`*^9}, 
+   3.8534887777130165`*^9, 3.853492170391782*^9, 3.85349227096279*^9, {
+   3.8588528375180264`*^9, 3.858852840503981*^9}},
+ CellLabel->"Out[18]=",ExpressionUUID->"f356499f-2e0f-4f02-8da5-2bd66af20ddf"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "100"}], ";", 
+  RowBox[{"LogPlot", "[", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "10", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "15", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "20", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "25", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+    RowBox[{"PlotRange", "->", "All"}], ",", 
+    RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.853487076166747*^9}, {3.8534871091831074`*^9, 
+   3.8534871096886625`*^9}, 3.8534871976717033`*^9, {3.8534872520745993`*^9, 
+   3.8534872662022085`*^9}, {3.853487331037022*^9, 3.8534873789477253`*^9}, {
+   3.853487421200201*^9, 3.853487430637251*^9}, {3.853487466990423*^9, 
+   3.8534874849497313`*^9}},
+ CellLabel->"In[20]:=",ExpressionUUID->"9eca7f4d-a528-47eb-a310-7b5fa1901c40"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV13c8FG4YAHAcjkJIkzIrSSoUSj1vfkpGCGkhLZVNopDSkJYQpWFUVqTs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+       "]]},
+     Annotation[#, "Charting`Private`Tag$17160#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwV13k4lF0UAHCMGEXRokgKLSISFVk6bz5JJWmxVCiSCtkSWSKFdqEoZStC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+       "]]},
+     Annotation[#, "Charting`Private`Tag$17160#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwV13k8lE0cAHCsY5VEh1IqdyIdCEV+T15FKWeOipKiQq5ESkkJlSRFqVw5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+       "]]},
+     Annotation[#, "Charting`Private`Tag$17160#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwV13k8lE0cAHCsY3WIbqVCSKQDSa7fk1dRCpGjoqSokCKRiJSrSyhK5cqZ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+       "]]},
+     Annotation[#, "Charting`Private`Tag$17160#4"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, -1.9334703412997503`},
+  CoordinatesToolOptions:>{"DisplayFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& )},
+  DisplayFunction->Identity,
+  Frame->{{False, False}, {False, False}},
+  FrameLabel->{{None, None}, {None, None}},
+  FrameTicks->{{
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0], 
+     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None},
+  PlotRange->{All, All},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->FrontEndValueCache[{Automatic, 
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0]}, {Automatic, {{-0.6931471805599453, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.5\"", ShowStringCharacters -> False], 0.5, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, {0., 
+       FormBox["1", TraditionalForm], {0.01, 0.}}, {1.6094379124341003`, 
+       FormBox["5", TraditionalForm], {0.01, 0.}}, {2.302585092994046, 
+       FormBox["10", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.912023005428146, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.506557897319982, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.2188758248682006`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.8134107167600364`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.659260036932778, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.5257286443082556`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.4079456086518722`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.3025850929940455`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.6094379124341003`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.2039728043259361`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.916290731874155, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.5108256237659907, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.35667494393873245`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.2231435513142097, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.10536051565782628`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      0.6931471805599453, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.0986122886681098`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.3862943611198906`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.791759469228055, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.9459101490553132`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.0794415416798357`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.1972245773362196`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      3.4011973816621555`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      3.6888794541139363`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      3.912023005428146, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.0943445622221, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.248495242049359, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.382026634673881, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.499809670330265, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.605170185988092, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      5.0106352940962555`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      5.298317366548036, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}}}]]], "Output",
+ CellChangeTimes->{
+  3.853487382979188*^9, 3.853487435312606*^9, {3.853487474370874*^9, 
+   3.8534874904431567`*^9}, 3.853492179085717*^9, 3.853492264566764*^9, {
+   3.858852850121696*^9, 3.858852857687882*^9}},
+ CellLabel->"Out[20]=",ExpressionUUID->"da3218bd-9b5a-42cb-a6ff-d5514b5d1cd3"]
+}, Open  ]],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "1000"}], ";", 
+  RowBox[{"LogPlot", "[", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "50", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "60", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "70", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"crossSection", "[", 
+       RowBox[{"ee", ",", "80", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+    RowBox[{"PlotRange", "->", "All"}], ",", 
+    RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.8534868812560863`*^9, 3.853486942503617*^9}, {
+   3.853486998913436*^9, 3.853487076166747*^9}, {3.8534871091831074`*^9, 
+   3.8534871096886625`*^9}, 3.8534871976717033`*^9, {3.8534872520745993`*^9, 
+   3.8534872662022085`*^9}, {3.853487331037022*^9, 3.8534873789477253`*^9}, {
+   3.853487421200201*^9, 3.853487430637251*^9}, {3.853487466990423*^9, 
+   3.8534874849497313`*^9}, 3.853487534783304*^9, {3.853488294775798*^9, 
+   3.853488306637196*^9}},
+ CellLabel->"In[30]:=",ExpressionUUID->"cf6f91bf-b8ac-43f5-9a41-ddf0eddf226e"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwUmHc81W8Ux/1QpJRRNGRWopRshXNTVJIKRWZUCiUjo2goSoUkszKSZDRs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=
+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$18800#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJwUmHc81W8Ux/1QpJRRNGRWopRshXNTVJIKRWZUCiUjo2goSoUkszKSZDRs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=
+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$18800#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwUmHc81W8Ux/1QpJRRNGRWopRshXNTVJIKRWZUCiUjo2goSoUkszKSZDRs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=
+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$18800#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwUmHc81W8Ux/1QpJRRNGRWopRshXNTVJIKRWZUCiUjo2goSoUkszKSZDRs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=
+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$18800#4"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, -1.9545127045556732`},
+  CoordinatesToolOptions:>{"DisplayFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& )},
+  DisplayFunction->Identity,
+  Frame->{{False, False}, {False, False}},
+  FrameLabel->{{None, None}, {None, None}},
+  FrameTicks->{{
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0], 
+     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None},
+  PlotRange->{All, All},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->FrontEndValueCache[{Automatic, 
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0]}, {Automatic, {{-2.3025850929940455`, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.1\"", ShowStringCharacters -> False], 0.1, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 
+       0.}}, {-0.6931471805599453, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.5\"", ShowStringCharacters -> False], 0.5, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 0.}}, {0., 
+       FormBox["1", TraditionalForm], {0.01, 0.}}, {1.6094379124341003`, 
+       FormBox["5", TraditionalForm], {0.01, 0.}}, {2.302585092994046, 
+       FormBox["10", TraditionalForm], {0.01, 0.}}, {3.912023005428146, 
+       FormBox["50", TraditionalForm], {0.01, 0.}}, {4.605170185988092, 
+       FormBox["100", TraditionalForm], {0.01, 0.}}, {-4.605170185988091, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.912023005428146, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.506557897319982, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-3.2188758248682006`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.8134107167600364`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.659260036932778, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.5257286443082556`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-2.4079456086518722`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.6094379124341003`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-1.2039728043259361`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.916290731874155, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.5108256237659907, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.35667494393873245`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.2231435513142097, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-0.10536051565782628`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      0.6931471805599453, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.0986122886681098`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.3862943611198906`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.791759469228055, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      1.9459101490553132`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.0794415416798357`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.1972245773362196`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.995732273553991, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      3.4011973816621555`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      3.6888794541139363`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.0943445622221, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.248495242049359, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.382026634673881, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      4.499809670330265, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      5.298317366548036, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      5.703782474656201, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      5.991464547107982, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.214608098422191, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.396929655216146, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.551080335043404, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.684611727667927, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.802394763324311, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      6.907755278982137, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      7.003065458786462, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      7.090076835776092, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}}}]]], "Output",
+ CellChangeTimes->{3.8534875439060616`*^9, 3.853488338645147*^9, 
+  3.853492217790327*^9, 3.853492254756855*^9, 3.853492330072485*^9, 
+  3.8534939879892693`*^9, 3.858852904478517*^9, 3.858852962838209*^9},
+ CellLabel->"Out[30]=",ExpressionUUID->"ba41baf1-2ecf-44d7-b30b-e52142b430ef"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"csPartial", "[", 
+   RowBox[{"energy_", ",", "lPart_", ",", "thetaCos_"}], "]"}], ":=", 
+  RowBox[{"0.01", "*", " ", 
+   FractionBox["Pi", 
+    SuperscriptBox[
+     RowBox[{"momenta", "[", "energy", "]"}], "2"]], 
+   SuperscriptBox[
+    RowBox[{"(", 
+     RowBox[{"Abs", "[", 
+      RowBox[{
+       FractionBox[
+        RowBox[{
+         RowBox[{"2", " ", "*", "lPart"}], "+", "1"}], 
+        SqrtBox["2"]], "*", 
+       RowBox[{"(", 
+        RowBox[{
+         RowBox[{"sMatrix", "[", 
+          RowBox[{"lPart", ",", "energy"}], "]"}], "-", "1"}], ")"}], "*", 
+       RowBox[{"LegendreP", "[", 
+        RowBox[{"lPart", ",", "thetaCos"}], "]"}]}], "]"}], ")"}], "2"], 
+   " "}]}]], "Input",
+ CellChangeTimes->{{3.853493468282187*^9, 3.853493586909699*^9}, {
+  3.853493642630621*^9, 3.853493675863988*^9}, {3.853493775700438*^9, 
+  3.853493811435296*^9}, {3.8534938949304743`*^9, 3.853493897910325*^9}, {
+  3.8534942524958057`*^9, 3.853494310964809*^9}},
+ CellLabel->"In[31]:=",ExpressionUUID->"ca70aec2-1403-4fd0-bb53-d55303e04867"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"ee", "=", "5"}], ";", 
+  RowBox[{"LogPlot", "[", 
+   RowBox[{
+    RowBox[{"{", 
+     RowBox[{
+      RowBox[{"csPartial", "[", 
+       RowBox[{"ee", ",", "0", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"csPartial", "[", 
+       RowBox[{"ee", ",", "2", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"csPartial", "[", 
+       RowBox[{"ee", ",", "4", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}], ",", 
+      RowBox[{"csPartial", "[", 
+       RowBox[{"ee", ",", "6", ",", 
+        RowBox[{"Cos", "[", "x", "]"}]}], "]"}]}], "}"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"x", ",", "0", ",", "Pi"}], "}"}], ",", 
+    RowBox[{"PlotRange", "->", "All"}], ",", 
+    RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.853493594513134*^9, 3.8534936264705887`*^9}, {
+   3.8534936845655823`*^9, 3.853493726500517*^9}, {3.8534939385756073`*^9, 
+   3.8534939390018663`*^9}, {3.853494072633522*^9, 3.8534940805368156`*^9}, 
+   3.8534942898885803`*^9, {3.853494328640461*^9, 3.8534943657957478`*^9}},
+ CellLabel->"In[32]:=",ExpressionUUID->"a099f556-b302-4e0c-9958-dce54cc805c8"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJxTTMoPSmViYGAwAWIQzbyf69xj00K7nCe/9iVv/bo/KEfy1oxJ8+1h/Imf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+       "]]},
+     Annotation[#, "Charting`Private`Tag$19103#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Large], 
+      LineBox[CompressedData["
+1:eJw123k8VN/7AHBjmxkSM2Pfd7K12Sqcm1RCSqGELCVSn0KFkCWSKCFbsiVb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+       "]]},
+     Annotation[#, "Charting`Private`Tag$19103#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[Medium],
+       LineBox[CompressedData["
+1:eJwUmnk0lV8Xx7lukSIiIQolMtzZkLCflAYVpVKZQjRIQkUhaaRIqJR+GZIQ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+       "]]},
+     Annotation[#, "Charting`Private`Tag$19103#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[Small], 
+      LineBox[CompressedData["
+1:eJwcm3k4VV0bh4+hSFRoQCJKplDI7Dz7HKIkEaEMRUWZyVAZkkxJQiFFJFMK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+       "]]},
+     Annotation[#, "Charting`Private`Tag$19103#4"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, -44.23816617619566},
+  CoordinatesToolOptions:>{"DisplayFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+      Part[#, 1], 
+      Exp[
+       Part[#, 2]]}& )},
+  DisplayFunction->Identity,
+  Frame->{{False, False}, {False, False}},
+  FrameLabel->{{None, None}, {None, None}},
+  FrameTicks->{{
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0], 
+     Charting`ScaledFrameTicks[{Log, Exp}]}, {Automatic, Automatic}},
+  GridLines->{None, None},
+  GridLinesStyle->Directive[
+    GrayLevel[0.5, 0.4]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None},
+  PlotRange->{All, All},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->FrontEndValueCache[{Automatic, 
+     Charting`ScaledTicks[
+     "Log", {Log, Exp}, "Nice", WorkingPrecision -> MachinePrecision, 
+      RotateLabel -> 0]}, {Automatic, {{-36.841361487904734`, 
+       FormBox[
+        TemplateBox[{"10", 
+          RowBox[{"-", "16"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
+        TraditionalForm], {0.01, 0.}}, {-25.328436022934504`, 
+       FormBox[
+        TemplateBox[{"10", 
+          RowBox[{"-", "11"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
+        TraditionalForm], {0.01, 0.}}, {-13.815510557964274`, 
+       FormBox[
+        TemplateBox[{"10", 
+          RowBox[{"-", "6"}]}, "Superscript", SyntaxForm -> SuperscriptBox], 
+        TraditionalForm], {0.01, 0.}}, {-2.3025850929940455`, 
+       FormBox[
+        TagBox[
+         InterpretationBox[
+          StyleBox["\"0.1\"", ShowStringCharacters -> False], 0.1, AutoDelete -> 
+          True], NumberForm[#, {
+           DirectedInfinity[1], 1}]& ], TraditionalForm], {0.01, 
+       0.}}, {-48.86511257664095, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-48.71096189681369, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-48.57743050418917, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-48.459647468532786`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-48.35428695287496, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-46.051701859880914`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-43.74911676688687, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-39.14394658089878, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-34.538776394910684`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-32.23619130191664, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-27.631021115928547`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-23.025850929940457`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-20.72326583694641, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-16.11809565095832, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-11.512925464970229`, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-9.210340371976182, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}, {-4.605170185988091, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {0., 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 0.}}, {
+      2.302585092994046, 
+       FormBox[
+        TemplateBox[{0, 0}, "Spacer2"], TraditionalForm], {0.005, 
+       0.}}}}]]], "Output",
+ CellChangeTimes->{{3.853493697541955*^9, 3.8534937286825113`*^9}, {
+   3.853493931427075*^9, 3.853493940950637*^9}, 3.853494082188933*^9, {
+   3.853494294351274*^9, 3.853494315503067*^9}, 3.85349436742323*^9, {
+   3.858852905053458*^9, 3.858852905584511*^9}, 3.858852974281839*^9},
+ CellLabel->"Out[32]=",ExpressionUUID->"f223a126-5856-4404-99bb-9291629b2527"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"totalCS", "[", 
+   RowBox[{"energy_", ",", "lmax_"}], "]"}], ":=", 
+  RowBox[{"0.01", "*", 
+   FractionBox["Pi", 
+    SuperscriptBox[
+     RowBox[{"momenta", "[", "energy", "]"}], "2"]], 
+   RowBox[{"Sum", "[", 
+    RowBox[{
+     RowBox[{
+      RowBox[{"(", 
+       RowBox[{
+        RowBox[{"2", "l"}], "+", "1"}], ")"}], 
+      SuperscriptBox[
+       RowBox[{"Sin", "[", 
+        RowBox[{"phase", "[", 
+         RowBox[{"l", ",", "energy"}], "]"}], "]"}], "2"]}], ",", 
+     RowBox[{"{", 
+      RowBox[{"l", ",", "0", ",", "lmax"}], "}"}]}], "]"}]}]}]], "Input",
+ CellChangeTimes->{{3.853492655907251*^9, 3.8534926595668173`*^9}, {
+   3.853492817350086*^9, 3.853492840180904*^9}, {3.8534928898683643`*^9, 
+   3.85349310167901*^9}, {3.853493433723939*^9, 3.853493433851593*^9}, {
+   3.853493477155789*^9, 3.8534934804378242`*^9}, 3.853493611161314*^9},
+ CellLabel->"In[33]:=",ExpressionUUID->"8387d5b7-7091-4c7f-8884-012d86943ae7"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.853493111905604*^9, 3.85349312601123*^9}, {
+  3.853493164164562*^9, 3.853493225382373*^9}, {3.853495245080155*^9, 
+  3.853495262690237*^9}, {3.853495329074131*^9, 3.853495331273224*^9}, {
+  3.853495481938435*^9, 3.853495506474152*^9}, {3.853496160099299*^9, 
+  3.853496187795734*^9}},ExpressionUUID->"bd9b289e-9f91-4d4d-8b45-\
+65980389fb4e"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.853496214091806*^9, 
+  3.853496214093479*^9}},ExpressionUUID->"cf232325-3102-4603-938f-\
+8fabde19702a"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.85349610148938*^9, 
+  3.853496111610878*^9}},ExpressionUUID->"160a66a0-bd7e-4e19-ad21-\
+edbb9fb11aad"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"Plot", "[", 
+   RowBox[{
+    RowBox[{"totalCS", "[", 
+     RowBox[{"e", ",", "5"}], "]"}], ",", 
+    RowBox[{"{", 
+     RowBox[{"e", ",", "0", ",", "50"}], "}"}]}], "]"}], 
+  "\[IndentingNewLine]"}]], "Input",
+ CellChangeTimes->{{3.853346969529502*^9, 3.8533469695305157`*^9}, {
+   3.853495094843605*^9, 3.853495095696439*^9}, {3.853496053033456*^9, 
+   3.8534960607485237`*^9}, 3.858852862482327*^9},
+ CellLabel->"In[34]:=",ExpressionUUID->"2ba597b1-45c2-4485-8b72-92b085d2333c"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0.368417, 0.506779, 0.709798], AbsoluteThickness[1.6], Opacity[
+      1.], LineBox[CompressedData["
+1:eJwVzHk41IsaB/ChITpkacqSCrlE2SKVw3lfxvIrxy6RdFzryJb1tNiLCB1L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+       "]]},
+     Annotation[#, "Charting`Private`Tag$19561#1"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{0, 0.1848467849364315},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{0, 50}, {0.18484678493643109`, 0.24348861258846421`}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{{3.853496079210414*^9, 3.853496080178686*^9}, {
+   3.853496212803362*^9, 3.85349622117334*^9}, 3.8588527879075413`*^9, {
+   3.858852905843582*^9, 3.85885290600801*^9}, 3.8588529830719833`*^9},
+ CellLabel->"Out[34]=",ExpressionUUID->"3375e83b-1fe9-471d-ba15-9b0dadd509e3"]
+}, Open  ]],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.8533137562730713`*^9, 3.853313865739964*^9}, 
+   3.853314392443914*^9},ExpressionUUID->"23af634b-83f9-4046-80bc-\
+efd276cb319d"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.85331423755933*^9, 
+  3.853314237563533*^9}},ExpressionUUID->"5eb70ad0-f7b3-4504-bb07-\
+065fbf35755c"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.853313890427112*^9, 3.853313902686264*^9}, {
+  3.853314234067546*^9, 
+  3.85331423464712*^9}},ExpressionUUID->"642f47f7-ed73-4e3f-b103-\
+aea6064f1f18"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.8533142268467093`*^9, 
+  3.853314226850664*^9}},ExpressionUUID->"08d6350f-5170-452b-ac76-\
+ee100b67f30c"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.8533139237358418`*^9, 3.853313924503396*^9}, 
+   3.853314229390658*^9},ExpressionUUID->"e7fd5889-c76e-4df7-8768-\
+2047c3696082"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.853314227507984*^9, 
+  3.853314227509367*^9}},ExpressionUUID->"b3a577ae-0347-4494-919e-\
+59045b7e9812"],
+
+Cell[BoxData["\[IndentingNewLine]"], "Input",
+ CellChangeTimes->{
+  3.8534926478523903`*^9},ExpressionUUID->"c708993a-fc72-4dc7-951b-\
+c1e5a15ac35d"]
+},
+WindowSize->{1389.75, 768.75},
+WindowMargins->{{Automatic, 0}, {0, Automatic}},
+Magnification:>1.1 Inherited,
+FrontEndVersion->"13.0 for Linux x86 (64-bit) (December 2, 2021)",
+StyleDefinitions->"Default.nb",
+ExpressionUUID->"fc5c1720-d53e-4d97-9e07-e488dec2c159"
+]
+(* End of Notebook Content *)
+
+(* Internal cache information *)
+(*CellTagsOutline
+CellTagsIndex->{}
+*)
+(*CellTagsIndex
+CellTagsIndex->{}
+*)
+(*NotebookFileOutline
+Notebook[{
+Cell[CellGroupData[{
+Cell[580, 22, 1062, 30, 57, "Input",ExpressionUUID->"ba7d4b78-672c-458a-81ef-4afd07c02df7"],
+Cell[1645, 54, 1149, 31, 37, "Output",ExpressionUUID->"27aca7d3-6967-4af6-b7a6-cce9ddd23131"]
+}, Open  ]],
+Cell[2809, 88, 126, 3, 38, "Text",ExpressionUUID->"ff0261e9-e7f2-47d7-be51-681add6cc7f6"],
+Cell[CellGroupData[{
+Cell[2960, 95, 513, 9, 57, "Input",ExpressionUUID->"8b706344-7d6f-4824-a756-32583bee7675"],
+Cell[3476, 106, 317, 6, 37, "Output",ExpressionUUID->"c5c35dc6-6455-4c06-8d6b-4ccc168b8f61"]
+}, Open  ]],
+Cell[3808, 115, 417, 10, 56, "Input",ExpressionUUID->"7c41ea64-0275-46af-a1be-64f6a62fe1e6"],
+Cell[4228, 127, 586, 15, 53, "Input",ExpressionUUID->"2b3e773f-5694-4ac2-8548-b85c2006e275"],
+Cell[CellGroupData[{
+Cell[4839, 146, 870, 21, 33, "Input",ExpressionUUID->"36acf79c-f85b-4ba8-b611-02ce834d0895"],
+Cell[5712, 169, 24704, 434, 254, "Output",ExpressionUUID->"d5ef8b6e-17ae-4a54-9e0c-3006bfae9692"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[30453, 608, 771, 20, 33, "Input",ExpressionUUID->"b03eab01-35a0-4e27-a0b2-b573f08e7021"],
+Cell[31227, 630, 25903, 454, 254, "Output",ExpressionUUID->"01bc47c1-a9fe-4043-8c3d-2b7b55b80e93"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[57167, 1089, 1229, 35, 51, "Input",ExpressionUUID->"427c58a0-f500-4a61-a0ae-7f2409bdd161"],
+Cell[58399, 1126, 17422, 384, 253, "Output",ExpressionUUID->"ba1cd1aa-a9c0-4923-a962-049f4f1494bb"]
+}, Open  ]],
+Cell[75836, 1513, 451, 10, 33, "Input",ExpressionUUID->"0a91aeaf-ae80-42ef-a5a9-461e851bc585"],
+Cell[76290, 1525, 1015, 28, 60, "Input",ExpressionUUID->"1b755cd5-b17a-40f4-9478-09c8830d6ba5"],
+Cell[77308, 1555, 152, 3, 33, "Input",ExpressionUUID->"f3ecc0bf-2bef-4449-a8ff-2f3439cd2a9d"],
+Cell[77463, 1560, 490, 8, 33, "Input",ExpressionUUID->"964c704e-82d8-43f4-9305-4a962e141163"],
+Cell[CellGroupData[{
+Cell[77978, 1572, 1231, 27, 33, "Input",ExpressionUUID->"af7481d0-e6b6-42ab-b835-aeed7ec0ee28"],
+Cell[79212, 1601, 16428, 291, 278, "Output",ExpressionUUID->"d6e10034-cd6b-4d36-800e-9982c3382e25"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[95677, 1897, 1079, 26, 33, "Input",ExpressionUUID->"b8aff626-17e7-46d3-a8e6-f170b25b16a0"],
+Cell[96759, 1925, 16666, 295, 278, "Output",ExpressionUUID->"31848cdf-de94-4907-a200-3b020c8286c9"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[113462, 2225, 1357, 31, 80, "Input",ExpressionUUID->"1746ef99-a21f-48a2-80e1-0cbfd168ea91"],
+Cell[114822, 2258, 44795, 787, 260, "Output",ExpressionUUID->"f356499f-2e0f-4f02-8da5-2bd66af20ddf"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[159654, 3050, 1313, 29, 80, "Input",ExpressionUUID->"9eca7f4d-a528-47eb-a310-7b5fa1901c40"],
+Cell[160970, 3081, 85897, 1475, 260, "Output",ExpressionUUID->"da3218bd-9b5a-42cb-a6ff-d5514b5d1cd3"]
+}, Open  ]],
+Cell[CellGroupData[{
+Cell[246904, 4561, 1386, 30, 80, "Input",ExpressionUUID->"cf6f91bf-b8ac-43f5-9a41-ddf0eddf226e"],
+Cell[248293, 4593, 133078, 2258, 260, "Output",ExpressionUUID->"ba41baf1-2ecf-44d7-b30b-e52142b430ef"]
+}, Open  ]],
+Cell[381386, 6854, 1068, 27, 60, "Input",ExpressionUUID->"ca70aec2-1403-4fd0-bb53-d55303e04867"],
+Cell[CellGroupData[{
+Cell[382479, 6885, 1193, 27, 80, "Input",ExpressionUUID->"a099f556-b302-4e0c-9958-dce54cc805c8"],
+Cell[383675, 6914, 80736, 1376, 252, "Output",ExpressionUUID->"f223a126-5856-4404-99bb-9291629b2527"]
+}, Open  ]],
+Cell[464426, 8293, 966, 24, 55, "Input",ExpressionUUID->"8387d5b7-7091-4c7f-8884-012d86943ae7"],
+Cell[465395, 8319, 390, 6, 33, "Input",ExpressionUUID->"bd9b289e-9f91-4d4d-8b45-65980389fb4e"],
+Cell[465788, 8327, 152, 3, 33, "Input",ExpressionUUID->"cf232325-3102-4603-938f-8fabde19702a"],
+Cell[465943, 8332, 151, 3, 33, "Input",ExpressionUUID->"160a66a0-bd7e-4e19-ad21-edbb9fb11aad"],
+Cell[CellGroupData[{
+Cell[466119, 8339, 515, 12, 57, "Input",ExpressionUUID->"2ba597b1-45c2-4485-8b72-92b085d2333c"],
+Cell[466637, 8353, 4303, 88, 257, "Output",ExpressionUUID->"3375e83b-1fe9-471d-ba15-9b0dadd509e3"]
+}, Open  ]],
+Cell[470955, 8444, 177, 3, 33, "Input",ExpressionUUID->"23af634b-83f9-4046-80bc-efd276cb319d"],
+Cell[471135, 8449, 151, 3, 33, "Input",ExpressionUUID->"5eb70ad0-f7b3-4504-bb07-065fbf35755c"],
+Cell[471289, 8454, 200, 4, 33, "Input",ExpressionUUID->"642f47f7-ed73-4e3f-b103-aea6064f1f18"],
+Cell[471492, 8460, 154, 3, 33, "Input",ExpressionUUID->"08d6350f-5170-452b-ac76-ee100b67f30c"],
+Cell[471649, 8465, 177, 3, 33, "Input",ExpressionUUID->"e7fd5889-c76e-4df7-8768-2047c3696082"],
+Cell[471829, 8470, 152, 3, 33, "Input",ExpressionUUID->"b3a577ae-0347-4494-919e-59045b7e9812"],
+Cell[471984, 8475, 149, 3, 57, "Input",ExpressionUUID->"c708993a-fc72-4dc7-951b-c1e5a15ac35d"]
+}
+]
+*)
+
diff --git a/resonans4.nb b/resonans4.nb
new file mode 100644
index 0000000..17a2b04
--- /dev/null
+++ b/resonans4.nb
@@ -0,0 +1,2875 @@
+(* Content-type: application/vnd.wolfram.mathematica *)
+
+(*** Wolfram Notebook File ***)
+(* http://www.wolfram.com/nb *)
+
+(* CreatedBy='Mathematica 13.0' *)
+
+(*CacheID: 234*)
+(* Internal cache information:
+NotebookFileLineBreakTest
+NotebookFileLineBreakTest
+NotebookDataPosition[       158,          7]
+NotebookDataLength[    161963,       2867]
+NotebookOptionsPosition[    160255,       2834]
+NotebookOutlinePosition[    160653,       2850]
+CellTagsIndexPosition[    160610,       2847]
+WindowFrame->Normal*)
+
+(* Beginning of Notebook Content *)
+Notebook[{
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"(*", " ", "Input", " ", "*)"}], "\[IndentingNewLine]", 
+  RowBox[{"(*", 
+   RowBox[{
+    RowBox[{"kin", " ", "=", " ", "20."}], ";"}], "*)"}], 
+  "\[IndentingNewLine]", 
+  RowBox[{
+   RowBox[{
+    RowBox[{"mass", "=", " ", "936."}], ";"}], "\[IndentingNewLine]", 
+   RowBox[{
+    RowBox[{"range", " ", "=", " ", "3"}], ";"}]}]}]], "Input",
+ CellChangeTimes->{{3.8698997367340517`*^9, 3.869899843251645*^9}, {
+   3.869900162194075*^9, 3.86990022514108*^9}, {3.869900263296324*^9, 
+   3.869900278820773*^9}, {3.869900716799706*^9, 3.869900721797647*^9}, 
+   3.869902565634445*^9, {3.869902624866561*^9, 3.869902626057645*^9}, {
+   3.869904698619644*^9, 3.8699047019298077`*^9}, 3.870142822697193*^9, {
+   3.870144764448131*^9, 3.87014476799769*^9}, {3.870144888379427*^9, 
+   3.870144970243932*^9}, {3.870145792817855*^9, 3.8701457939369917`*^9}, {
+   3.8713910972634153`*^9, 3.871391103619568*^9}, {3.8714518138981028`*^9, 
+   3.871451832796793*^9}, 3.8714523038600388`*^9, {3.87145238207703*^9, 
+   3.871452385670923*^9}, 
+   3.8720846338697147`*^9},ExpressionUUID->"502c7901-c122-4614-8b72-\
+a04caf16b1e2"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"sps", "=", 
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"Dashing", "[", "None", "]"}], ",", 
+       RowBox[{"RGBColor", "[", 
+        RowBox[{"0", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", " ", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"Dashing", "[", "None", "]"}], ",", 
+       RowBox[{"RGBColor", "[", 
+        RowBox[{"1", ",", "0", ",", "0"}], "]"}]}], "}"}], ",", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"Dashing", "[", "None", "]"}], ",", 
+       RowBox[{"RGBColor", "[", 
+        RowBox[{"0", ",", "0", ",", "1"}], "]"}]}], "}"}], ",", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"Dashing", "[", "None", "]"}], ",", 
+       RowBox[{"RGBColor", "[", 
+        RowBox[{"0", ",", "1", ",", "0"}], "]"}]}], "}"}], ",", 
+     RowBox[{"{", 
+      RowBox[{
+       RowBox[{"Dashing", "[", "None", "]"}], ",", 
+       RowBox[{"RGBColor", "[", 
+        RowBox[{"0", ",", "1", ",", "1"}], "]"}]}], "}"}]}], "}"}]}], 
+  ";"}]], "Input",
+ CellChangeTimes->{
+  3.871701793434409*^9, {3.872065693342557*^9, 3.872065697733029*^9}},
+ CellLabel->
+  "In[182]:=",ExpressionUUID->"8acf02de-4007-4da0-99ab-5688c509e7b2"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"kIn", "[", "e_", "]"}], " ", ":=", " ", 
+  FractionBox[
+   SqrtBox[
+    RowBox[{"2", "*", "mass", "*", "e"}]], "197.327"]}]], "Input",
+ CellChangeTimes->{
+  3.870144988515087*^9, {3.870145025281687*^9, 3.870145047838258*^9}, {
+   3.871451965683363*^9, 3.87145196928242*^9}, {3.872063208516612*^9, 
+   3.8720632133894377`*^9}},
+ CellLabel->
+  "In[183]:=",ExpressionUUID->"e4eb0afd-6ac9-4727-a316-8fe76f4fcecb"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"kOut", "[", 
+   RowBox[{"e_", ",", "U0_"}], "]"}], " ", ":=", " ", 
+  FractionBox[
+   SqrtBox[
+    RowBox[{"2", " ", "mass", " ", 
+     RowBox[{"(", 
+      RowBox[{"e", "-", " ", "U0"}], ")"}]}]], "197.327"]}]], "Input",
+ CellChangeTimes->{{3.870145798453801*^9, 3.8701458265877657`*^9}, {
+  3.871451836727564*^9, 3.871451840179946*^9}, {3.8714519734346457`*^9, 
+  3.8714519739887877`*^9}, {3.872063215936698*^9, 3.8720632175080347`*^9}},
+ CellLabel->
+  "In[184]:=",ExpressionUUID->"8fe4d871-c7e0-46fe-8f61-898f90834b8b"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[{
+ RowBox[{
+  RowBox[{"ang", " ", "=", " ", "9"}], ";"}], "\[IndentingNewLine]", 
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"e", "*", 
+      RowBox[{"SphericalBesselJ", "[", 
+       RowBox[{"ang", ",", "e"}], "]"}]}], ",", 
+     RowBox[{"Sin", "[", 
+      RowBox[{"e", "-", 
+       RowBox[{"ang", "*", 
+        FractionBox["Pi", "2"]}]}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"e", ",", "150", ",", "200"}], "}"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], 
+  "]"}], "\[IndentingNewLine]"}], "Input",
+ CellChangeTimes->{{3.871880311016982*^9, 3.871880487167283*^9}, {
+   3.871880536637885*^9, 3.871880597710753*^9}, {3.871880655550522*^9, 
+   3.8718806557964563`*^9}, {3.871880735948984*^9, 3.87188074436497*^9}, {
+   3.871880952795089*^9, 3.871880972213468*^9}, {3.8718812405705957`*^9, 
+   3.871881250760544*^9}, {3.871881297289236*^9, 3.871881327563302*^9}, {
+   3.871881376003738*^9, 3.871881499472775*^9}, {3.871881535278989*^9, 
+   3.871881551847143*^9}, {3.872063312874229*^9, 3.872063355689334*^9}, {
+   3.872063408893736*^9, 3.87206348665994*^9}, {3.872063558997143*^9, 
+   3.872063588644578*^9}, 3.872063625019775*^9},
+ CellLabel->
+  "In[185]:=",ExpressionUUID->"221cdf39-c3eb-4a84-8500-19e402ba9a9a"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwU2nc81d8fB3AUJYokoSVSkigJIedURAhRUWTc6RsJqRBpSMOINCQZJVpG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+       "]]},
+     Annotation[#, "Charting`Private`Tag$119495#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwU2nk4lU8bB3AqlSxlSUVFREgSsmdGSNnJLymJsxFZKkRRkqRd2oRQSahE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+       "]]},
+     Annotation[#, "Charting`Private`Tag$119495#2"]& ]}, {}},
+  AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+  Axes->{True, True},
+  AxesLabel->{None, None},
+  AxesOrigin->{150.00000000000034`, 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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{{150, 200}, {-1.0009739895602274`, 1.0009520150623108`}},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{{3.871880365451479*^9, 3.871880379827787*^9}, {
+   3.871880425544373*^9, 3.8718804368079453`*^9}, {3.871880489052253*^9, 
+   3.871880613125884*^9}, 3.8718806580374126`*^9, {3.8718809482991867`*^9, 
+   3.871880973990595*^9}, {3.8718812877642717`*^9, 3.871881329049365*^9}, {
+   3.871881380507782*^9, 3.871881429291922*^9}, 3.8718814654791613`*^9, 
+   3.871881501100588*^9, {3.871881537018771*^9, 3.871881554293723*^9}, 
+   3.872063325615925*^9, {3.872063420330842*^9, 3.87206348850977*^9}, {
+   3.872063567759974*^9, 3.872063590708235*^9}, 3.872063626537274*^9, 
+   3.8720832846539516`*^9},
+ CellLabel->
+  "Out[186]=",ExpressionUUID->"f05461a8-0cca-4932-a381-7e72b06b3de1"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"\[Delta]", "[", 
+   RowBox[{"e_", ",", "ang_", ",", "r_", ",", "u0_"}], "]"}], ":=", " ", 
+  FractionBox[
+   RowBox[{
+    RowBox[{
+     RowBox[{"kIn", "[", "e", "]"}], " ", 
+     RowBox[{"SphericalBesselJ", "[", 
+      RowBox[{"ang", ",", 
+       RowBox[{
+        RowBox[{"kOut", "[", 
+         RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], " ", 
+     RowBox[{"D", "[", 
+      RowBox[{
+       RowBox[{"SphericalBesselJ", "[", 
+        RowBox[{"ang", ",", 
+         RowBox[{
+          RowBox[{"kIn", "[", "e", "]"}], "r"}]}], "]"}], ",", "r"}], "]"}]}],
+     " ", "-", " ", 
+    RowBox[{
+     RowBox[{"kOut", "[", 
+      RowBox[{"e", ",", "u0"}], "]"}], 
+     RowBox[{"D", "[", 
+      RowBox[{
+       RowBox[{"SphericalBesselJ", "[", 
+        RowBox[{"ang", ",", 
+         RowBox[{
+          RowBox[{"kOut", "[", 
+           RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], ",", "r"}], "]"}],
+      " ", 
+     RowBox[{"SphericalBesselJ", "[", 
+      RowBox[{"ang", ",", 
+       RowBox[{
+        RowBox[{"kIn", "[", "e", "]"}], "r"}]}], "]"}]}]}], 
+   RowBox[{
+    RowBox[{
+     RowBox[{"-", 
+      RowBox[{"kOut", "[", 
+       RowBox[{"e", ",", "u0"}], "]"}]}], 
+     RowBox[{"D", "[", 
+      RowBox[{
+       RowBox[{"SphericalBesselJ", "[", 
+        RowBox[{"ang", ",", 
+         RowBox[{
+          RowBox[{"kOut", "[", 
+           RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], ",", "r"}], "]"}], 
+     RowBox[{"SphericalBesselY", "[", 
+      RowBox[{"ang", ",", 
+       RowBox[{
+        RowBox[{"kIn", "[", "e", "]"}], " ", "r"}]}], "]"}]}], "+", 
+    RowBox[{
+     RowBox[{"kIn", "[", "e", "]"}], 
+     RowBox[{"SphericalBesselJ", "[", 
+      RowBox[{"ang", ",", 
+       RowBox[{
+        RowBox[{"kOut", "[", 
+         RowBox[{"e", ",", "u0"}], "]"}], "r"}]}], "]"}], 
+     RowBox[{"D", "[", 
+      RowBox[{
+       RowBox[{"SphericalBesselY", "[", 
+        RowBox[{"ang", ",", 
+         RowBox[{
+          RowBox[{"kIn", "[", "e", "]"}], "r"}]}], "]"}], ",", "r"}], 
+      "]"}]}]}]]}]], "Input",
+ CellChangeTimes->{{3.872063645308598*^9, 3.872063650398775*^9}, {
+  3.872063787323573*^9, 3.872064165554227*^9}, {3.872065575373057*^9, 
+  3.872065580144125*^9}, {3.87208289534838*^9, 3.872083109573484*^9}, {
+  3.8720837640119667`*^9, 3.872083781982345*^9}, {3.872083816770862*^9, 
+  3.872083922022285*^9}, {3.872083967701007*^9, 3.872083980142023*^9}, {
+  3.8720840241631947`*^9, 3.8720841386156054`*^9}, {3.8720843449961863`*^9, 
+  3.872084348569682*^9}, {3.872084378909071*^9, 3.8720843821070223`*^9}},
+ CellLabel->
+  "In[267]:=",ExpressionUUID->"d800b49f-9b04-4303-885e-198701a8fba7"],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"myDelta", "[", 
+   RowBox[{"e_", ",", "ang_", ",", "u0_"}], "]"}], ":=", " ", 
+  RowBox[{"Simplify", "[", 
+   RowBox[{
+    RowBox[{"\[Delta]", "[", 
+     RowBox[{"e", ",", "ang", ",", "r", ",", "u0"}], "]"}], "/.", 
+    RowBox[{"r", "->", "3"}]}], "]"}]}]], "Input",
+ CellChangeTimes->{{3.872064422267766*^9, 3.87206444280345*^9}, {
+  3.8720653832249823`*^9, 3.8720653906911573`*^9}, {3.8720654424395943`*^9, 
+  3.872065443404607*^9}},
+ CellLabel->
+  "In[268]:=",ExpressionUUID->"036b641c-9c8b-4000-ae1a-448fc6136597"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[{
+ RowBox[{
+  RowBox[{"myU", " ", "=", " ", 
+   RowBox[{"-", "20"}]}], ";"}], "\[IndentingNewLine]", 
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"myDelta", "[", 
+      RowBox[{"e", ",", "0", ",", "myU"}], "]"}], ",", 
+     RowBox[{"myDelta", "[", 
+      RowBox[{"e", ",", "1", ",", "myU"}], "]"}], ",", 
+     RowBox[{"myDelta", "[", 
+      RowBox[{"e", ",", "2", ",", "myU"}], "]"}], ",", 
+     RowBox[{"myDelta", "[", 
+      RowBox[{"e", ",", "3", ",", "myU"}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"e", ",", "0", ",", "20"}], "}"}], ",", 
+   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
+ CellChangeTimes->{{3.872064461068593*^9, 3.872064575124584*^9}, {
+  3.872085004109158*^9, 3.872085005020536*^9}},
+ CellLabel->
+  "In[353]:=",ExpressionUUID->"6f15ea9b-99d5-4a4e-88e1-2b680fb1bba2"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV13c81G8cAHA7e3Nn7z3vzor4fqxklBGSvQoVoZSZkkiREREZhYZZojJy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+       "]]},
+     Annotation[#, "Charting`Private`Tag$601339#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVV3k41N8XFiXZsu+7MTNm5jOrilJzLNlSQoRkD9mKSKGyq5SkQrIkpCIV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+       "]]},
+     Annotation[#, "Charting`Private`Tag$601339#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVlmc81f8fhnFIjpERyTgHZYZwkpS8P0aKUJGopGxZRSEzoUTILJGZFBkp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+       "]]},
+     Annotation[#, "Charting`Private`Tag$601339#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwV1Xc81d8fB3CzkpFR3GteMrLpqm9Z59hZ1y0jyUohiZSREKFSsjIilBGi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+       "]]},
+     Annotation[#, "Charting`Private`Tag$601339#4"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{All, All},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{{3.8720644803212757`*^9, 3.872064506851513*^9}, {
+   3.872064571346196*^9, 3.872064579517775*^9}, 3.872064821279194*^9, 
+   3.8720655901531973`*^9, 3.872083121670566*^9, 3.87208329527455*^9, 
+   3.87208343093452*^9, 3.8720841648384132`*^9, 3.8720843617630377`*^9, 
+   3.87208439485054*^9, 3.872085008546116*^9},
+ CellLabel->
+  "Out[354]=",ExpressionUUID->"54a7a327-beda-4912-be8c-b81fdb4dfb94"]
+}, Open  ]],
+
+Cell[BoxData[
+ RowBox[{
+  RowBox[{"CS", "[", 
+   RowBox[{"e_", ",", "ang_", ",", "u0_"}], "]"}], ":=", 
+  RowBox[{
+   FractionBox[
+    RowBox[{"4", " ", "\[Pi]", " "}], 
+    RowBox[{"2", "m", " ", "e", " ", "100"}]], " ", 
+   RowBox[{"(", 
+    RowBox[{
+     RowBox[{"2", "ang"}], " ", "+", "1"}], ")"}], " ", 
+   SuperscriptBox[
+    RowBox[{"(", 
+     RowBox[{"Sin", "[", 
+      RowBox[{"myDelta", "[", 
+       RowBox[{"e", ",", "ang", ",", "u0"}], "]"}], "]"}], ")"}], 
+    "2"]}]}]], "Input",
+ CellChangeTimes->{{3.871702689542733*^9, 3.871702718481954*^9}, {
+   3.8717027521928997`*^9, 3.8717028506488733`*^9}, {3.872064692026392*^9, 
+   3.872064713432551*^9}, {3.8720648075045013`*^9, 3.87206481416335*^9}, {
+   3.872065397160803*^9, 3.872065415508048*^9}, {3.872065447049011*^9, 
+   3.8720654485861177`*^9}, 3.8720655924892607`*^9, 3.8720656325043077`*^9, {
+   3.872065833777644*^9, 3.872065834616434*^9}, {3.872065867221393*^9, 
+   3.872065869529162*^9}, {3.872066173038896*^9, 3.872066198590087*^9}, {
+   3.872083164871222*^9, 3.872083181421772*^9}, 3.872083220690255*^9, {
+   3.872083387215781*^9, 3.872083424265051*^9}, {3.8720844079682703`*^9, 
+   3.872084415138112*^9}, {3.872084699641899*^9, 3.872084703138381*^9}, {
+   3.8720847966213293`*^9, 3.8720847973941107`*^9}},
+ CellLabel->
+  "In[369]:=",ExpressionUUID->"eba599fa-45b7-41f1-be81-be340b9f2765"],
+
+Cell[BoxData[""], "Input",
+ CellChangeTimes->{{3.872065850166363*^9, 
+  3.872065851085361*^9}},ExpressionUUID->"13088433-79fd-452c-b338-\
+1a672d1bcbdb"],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[{
+ RowBox[{
+  RowBox[{"myAng", " ", "=", " ", "1"}], ";"}], "\[IndentingNewLine]", 
+ RowBox[{"Plot", "[", 
+  RowBox[{
+   RowBox[{"{", 
+    RowBox[{
+     RowBox[{"CS", "[", 
+      RowBox[{"ee", ",", "myAng", ",", 
+       RowBox[{"-", "11"}]}], "]"}], ",", 
+     RowBox[{"CS", "[", 
+      RowBox[{"ee", ",", "myAng", ",", 
+       RowBox[{"-", "10.5"}]}], "]"}], ",", 
+     RowBox[{"CS", "[", 
+      RowBox[{"ee", ",", "myAng", ",", 
+       RowBox[{"-", "11.5"}]}], "]"}], ",", 
+     RowBox[{"CS", "[", 
+      RowBox[{"ee", ",", "myAng", ",", 
+       RowBox[{"-", "12"}]}], "]"}]}], "}"}], ",", 
+   RowBox[{"{", 
+    RowBox[{"ee", ",", "0", ",", "1"}], "}"}], ",", 
+   RowBox[{"PlotRange", "\[Rule]", "All"}], ",", 
+   RowBox[{"PlotStyle", "->", "sps"}]}], "]"}]}], "Input",
+ CellChangeTimes->{{3.8717028649961863`*^9, 3.871702887968073*^9}, {
+   3.87170294535682*^9, 3.871703044356192*^9}, {3.871703077266426*^9, 
+   3.871703077607987*^9}, {3.8718801714491158`*^9, 3.871880209310113*^9}, 
+   3.872064670510241*^9, {3.872064716260972*^9, 3.8720647880831757`*^9}, {
+   3.8720648287810783`*^9, 3.872065013220315*^9}, {3.872065124910886*^9, 
+   3.872065342256804*^9}, {3.872065418717451*^9, 3.872065426642069*^9}, {
+   3.87206548157268*^9, 3.8720655283698483`*^9}, {3.872065645672921*^9, 
+   3.872065678152123*^9}, {3.872065730857747*^9, 3.872065779862418*^9}, {
+   3.872066108986445*^9, 3.872066123057541*^9}, 3.8720831534217567`*^9, 
+   3.872083187235692*^9, {3.872083244436311*^9, 3.8720832447462063`*^9}, 
+   3.8720833118545218`*^9, {3.872084433334014*^9, 3.8720846051257277`*^9}, {
+   3.872084653827442*^9, 3.8720846799264708`*^9}, {3.87208478379985*^9, 
+   3.872085150451397*^9}},
+ CellLabel->
+  "In[374]:=",ExpressionUUID->"d15ee31f-722c-4a79-b9bf-b0ddb3b85de9"],
+
+Cell[BoxData[
+ GraphicsBox[{{{}, {}, 
+    TagBox[
+     {RGBColor[0, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVl3c8Ft4Xx82MSkuFjLJKSZIoec4RUlmhrJQkeyaSlrJCZnjsvffePFZW
+ZqII2WQ/KlIZ39/z++u+3q97X/d1zueMe+4xQ1sNYxoqKqpgaiqq/6+KxrM9
+dXOaYMnZGvXnve8lOjmOh6Ps4nhude7UmP8Nwrm48OgidnmMWXFXeV9gR5ji
+5Hd5IqiKubNnC3iaPQhKnf2FMey38LOwWUn1TAiB35cr5T8eXXwamSvZ8zKB
+sKn4IOy+oD6OB0ayx/VmEubd+xrvh97Hn/9WawLuFBG0jdZJQexGKMqdy29b
+WUlolOMoex9tgoHXosdp++oJonyE/FUec1TLb4upEmghRNMYZAgkWWKpxaM7
+8iadBMYJ10QtQRuMUT7/R0LzE6Fy7FPn+1sP8ZX2EJHG/QvhoZqR4p1QOzxn
+dF3il+IQQbBurXm1/xEuy1ceoNMbI3w74ynnx+6AH1OW8pfMJgkhcWx1AnqP
+kY1RP//z5xmC4p5M6ZpoR/Q6t5pTmD5PoHp1qUJr5AnaxLT+659dJpQud5wn
+8zxFlcmzUVtdPwhW+vqFnvefocYuPnYus1UCbxdZ5GjSc6zIqgreK79OGCC4
+ZJVPvcDfiyuJOqb/CP45+0+oCzpjyL+iT0VftghXuJKT50xf4dEWqRPv2qnA
+uTlyb/2t19jVsz67+oUGdJ0nVf3WXqPd9uiw8l56EJcQ9tMNdUG9UzdrPZ8x
+wJ5lh3YBSVekYlHIIbExw3wKielnvyu+drRKElveBfEHb7x5y+6OLJcy3lqk
+7oPnnWGNWpXuWDahqltrcwC0PMZo+PQ8UPWZ4aLY7YNwliB0mbzhgaer35TO
+WxyGXWt2r6qi36CUBuubU0ns8D27kuRJ8MSNKN4XevSc0GBEu3lzxBPzo5IE
+6UK4wakvxGmRxxtlxAaVPx3lhZu+30rL67xxk3rqi1QRH4jIC66533+LB2T8
+iqruCwDTps05dRofzGCk66ATOQ5TRWV2XEk+aG3k+3mUXQhqLany5+R88bzS
+Lwax46cgku/6csmUL+67+Hl1S/s0qAcPWqgK+mN7G2mH1qGzIKzEl8HR4o9h
+1Ay3oy3EgJHW6vuMaQDWBRaaKn8+B4/uDgbp0gViwLtzN+q1z8O9iu2C2luB
+mHFI8YDVLwlQPsjXI5ASiONfZo9/zrgAUnZXV3zWAtG1Uepo7AspOCgUKKIT
++g5J4gEF+s4ANB7FKjUz79C+doU1REcGVsYGrPglg5CQ5jC46XYZRqS3fN56
+BqF3Nd8LrwZZaA8/lrXSH4TRCwUHzQ/KQ/nqlTatE8H45yznm+mXVyBVzWKu
+2ikYj2vDTr0tBXBhLDruzR6Cr47zdB29qggnr77zKnwYgqm0g6nd0srwycN2
+bqglBKnrzRcUNVXheaOKIj0PEZm92mvcr6sBP61wlogjEdOHrjLefqEOHZeZ
+d+l0EpHDwPNrSKMGPH49a+XCH4pR403mDXy3oHkrWaTvUygmVBTt+HhaG2yl
+3QK2hMLwq2OK/dNhHWB7fn9F0CUMLS7LB+dl3Ia6ClRXGwjDdDIvNobdAfM/
+XIVPz4QjM8/kb+kMfdgvubk/6U04TrqvsVg9NIDKx4P2Hd/C0UHXyfJD/H3Y
+9Sv0PI9vBC770JaMXDGCkrOPQ69NRuA6s5GoWo0x6D+8uW4nFYmqXHI6nRqm
+sCPvrE7Uu0jcyPROyKI3h7ylPRWNs5Eosrar8dlXC9ARXmZfxij878dPq509
+VkBl2fHscFgU9vktfHEk24DGrJe0xZVozOsxUbbrt4MNQdOY4OhojD1LTzd/
+yh6Sja9sV/+KRg0mz0udUQ6gnMx3b0YxBkWfLl7IEnKEtQnquj2JMZg7+Sbh
+7sATiD02dvTi3xh8wzFP2Jf1FBQMalwM1WJx53NrefWU5xD+7ZlcyXYsDnSp
+8ZjsfQ2XOXWTRzTjMIddXqtK0wXmb0vSM+bE4T+/DTfdcldo62AuYqOJR+yz
+ELa+5A7ci08f5JyOx152hYP+Ex7waOfcAVndeJR9fVDlY4EnNJ/UafziHo/S
+RRFGAznewKHY4mCZH48Vv+z9fg35gK25hADVcDx2UDE6i8v6Q6NXyucQhgS0
+NJDmaLcPBLZ01jdC5xLQxKZre//8O7BqcZOo0U9AIxY5uSivYKib+Tmj8TYB
+ux3f83TfIgLrDsOw7yUJaCieTUWjGQbmAj1XX4wn4NC1pMnYwAiokZf5s3d3
+IvrkVMs82BsN+43y0lMuJOK8/tvu9JFYMHHj1pUySsSlPXB9nDYBqhL9mLoD
+EnEH46Tvxc5E2NuwWfGgKhHtz9QzyvYlg9G4pcWfmUTcODzJ3sSXBuVUQxx+
++5Pw18hFj5+tGbDrqGL7MUjCczbJ7Ix92WCAFc9LzZNQKdr/SoRwPpTonxBW
+IiahUdSo/ciFQmB2DhserUtCrUKXxv7YYtCP2eHnsJiExstf+xjsy6Cw+jGB
+iS0ZeddsZeg/VsKO4amlGLlknN1WPl43UAO3N27Gitkm4/JcON/8t3rI43iv
+2hKZjDYfy/RxuBHopMT+02tOxrQadOcIbgUd3YS8lR/JuNEZe1dRphPIQ7eY
+EzlS8Hib8m834x54o89ofFMuBQOppWyIP/uAc7yqls4qBbvG5NZUw75C0QNb
+jtKQFJwssA580j0KijO8j01JKUgaXWa/d3YKxsy+dLPNpGD7zyMZC+rz8GTB
++2QbSypKOsyO+5J+AIsNweO5ZCrG6q2tXqb+CykrK6PCBqnoycQbHlBDg9L2
+yVIjXqloGDv25sQHFuxd0yYGFKRilfjueh4NLrRw2rkiM5iKGvOv6aU8xZB6
+o0bxJ00aPokMRAZvHQx/+Sgl6VQaiu8OsDUReoQiVIJUmrfSkFVn17HDBy5j
+k+vX2ztepqGgzWVtkSJBvEPvV1KWkoZUDQ0jJsGH8KenzF7zLsq+lF7BecGd
+6M28asGxnoaJUXHbf6Ro8KhfWlM7TzqeSHQ7mar2D8r26B19eS0dzWx+MRZt
+/ALVIJbnInbp6PyN+tJjdzJMszZ8Ho1IR72uFvG+0Dl4EfZY9F1DOrJ2dz+S
+kpuGAxxCPrIL6WiqGjg9SzUBmdHD078OZCBapnMPrI+ADE+gTIp0BmavOQyQ
+NgehP0EuSss4A3+8vK5U0NoPNvzrawz+GUh+JiygfvIz0KVlqlWUZqBG4VfX
+6u1PECWkn2UxmoEKdwhfq4R7QCx73w5OxkxMS1Q6ayrXDR9Emgw6RTNxsiEx
+Sz2uAwwKnKqcdTNR/WtX0Ih2G/w+J3xI1DUTLwqwD3ncaQW/0tGH45mZKFCo
+YH8jvhn4Lwa3B/VmYrWUyMkVtiaorFIQlN/MxLc/fQ4J1rwHdfj3eo0/C6PP
+7F+T8W6A2bqcoVSVLDR1a3X84FAPr+TuS+g4ZmFI341MeFEHh5pZ3zHFZeET
+Y9+eZslayL7WulDZkoXZ06n0ZxJIINf+XMFqJQtzVu6p2p+phkGVMwlc7Nko
+TXM/i2ekEh5+nNjoupyNSQIQbJ5RAbGfrxecDc7GttO8mTe8y+C8ztbOyaps
+FJ9j2lseXgodg/kmIVPZuO202XyusgQM7xrVX9mdg7ZvLgyTF4rh7+hhzvXz
+OehSZtZyU7gYAg3bHdP1cxA0Sz78eVoEgtPOPbqelPNUYg2JvYVwa376TfVA
+Dt6q0TjbkloAC1YR49bUuRi8/IpgzV0ArmRlaZ6TuRj/ZTnCNDYf8leLfrg8
+z0X7cVjQMs+Dq09Mlc8l56JdEK1pUHAujPzlSJvqyMVzErUXaz/kwM7/XO5c
+5c7Ds8J9niZa2RBurq0vrJCHVwcubYTmZgF/n7DBPps8vJt/vfHyniyAjP4H
+Q6Q8dDtuaF//PQPaD+QY103n4Z5ocAnSzwBhrC/6tCMfbWt5Sb1D6VCREVpS
+JpKP45CRsms2DajuuUhkyuaj/xKzmZJjGiiwWpVFa1FYgp/KkykNep0vV7g4
+52PdYSuqDkIqLN1crFbqotz3lvVS0JdkEGfqJ8BEPnZkpyoHeCTDs5r6GtHf
++Vj8j3e4QDIZGITC6g5yF6Bp26JmQ3ISqI64XGYUK8C9+aIWRveSICTYquHf
+lQIMzrw3FcyZBMe2LzeOWhfgo8J7MZyxiWBWJHzlk0sBnilRcL9kmAi5Zoeb
+G4kFGFGK/Y9OJMKl3sWWDFIBsiYUubZWJoBmeli7/e5CfJJQdiNnNR6i77oq
+mxwrRLWUG/eOtcTDxH7rTp3zhai7wWjPHBUPti9luwl3C/GXAsfWlkI8lIqd
+VhO1K0RGf/6MBe542Px+uIfXoxC/356+KbQSB94aS58YcgrRiUVnrVMvDj4y
+DNz8V1eI5JgLzD9Z4+AQqaFvsa8Qn+Zq+5z5GAtJx8O/9GwWYsC60VqKciyQ
+NmUHo5SL8CVTncIrvRigKzyt529QhL42lSPGfDGgaMo2/NqhCMXa9YSGFqOh
+v2fpm3F0EfJ80RuUco+GH6nh42cWi3Do7+d1m/dRcOGOmyEvVTG+uGeZbBIa
+Bc77bCZZWYux0fSsr59FFOx8ITf991Ixpjd1O8seigIB9eXZ9z7FOPEdk9We
+RQLHq6tSpgnF6DTFOV2uEQl7c+J9mMuK8TRDS+Z54Uj4x3hTRH2iGP2T/d9e
+n4iAj3VllHetBM0+Hfm2rhsBTct7m1xUS3BZ7FkOt1QEVHJaHBIwKsHWrRRZ
+ziMRkOLEWWEZUIJza/EWrqPh8EzUZfvPdAna3l9q1LILB1v9wRvRGyXI0Ma2
+6KcdDka+lOFgXykejxDfawvhcGN2Wu6NdClSL0/mc7KEA3+8oveB4FKU6Rjh
+zy4OA/aupMHS9FI0lt9XWR4XBiybm6du15Si140JdlWfMPirndcVP1eKqmwv
+ZeiNwqBrDyuriEwZWnqd6Lp+JAzeE6yNezTL8MRyzGMZ5jAot2wudbAsQwmy
+dU/q31BIanHSrQotQ03xjr9lX0PB6dW32GtLZVgXLraZEhsK1jkSKws05fj4
+Z1xAb2AoGA4FXA5gK8eoGqqAu26hoCIpO/VZrhx5nfS8nc1DgZecKvQgshx7
+zksPkS6GwmEuquc78svxbfT5xjCRUNilpNuR0VSOvS6Su2v5QmE9daftyko5
+NrS2SpFZQqFD/2Hxy6sVyCXvR86cJUKD7wf6Y3cr8Hm2k0XjKBHKKnm1Gx9V
+4JFv//R5+omQeOjzX+bYCuQu3+0W0kyEJ10XMXy1AudZflzTTScCi0jJ9AfG
+SrSi5/DqSSBCsp+o7wZnJSa0MAU9iyJCj/Lxr/pXKjGY5160XgARzLITXwXq
+VuKjpY3Vd95E2N7JLdhgXYktz51b19yIcKqd1V4gtBKFesRbZJ9S7DsZyK6d
+WYlbCSF2Jx2IoPN2Z51XTSU6XFoKkbYlgsd1mt2LM5V4cvje42/GRBhtIacW
+SlahquDKh23K/Od43FJlSqkK/ULqrh9XJ8Iuz5lfBw2qcFf4PobHKkS4qPBN
+5qlXFZqXnZh4qUCEjyk63zOjq/Dq5NlhSTkimND3+Q3nV6FR7YEOVhkiBDe2
+DeLXKqzhfmx2XooIJ/kVXOyWqrB4ZIHJSZIIdW71x5OoqzHdkNpnSJwIS7Ll
+DjtOVqMq4Y84rSgR3BPPHbkA1ehkv2XWfJoIHDR59eYa1ShKbApKP0WEq/Up
+LJ3PqrGgoeVvy3EijBw9VrLtX43EPWxadIJEcHgdrSeaVI1j+hdm7vITgXns
+MI1hWTXuTrLFPl4iJGBwenB7NfpfOf/X5BgRLsSx3GgarUax/Xw5B48SoWvb
+e+33r2pUf/399yg3EYz06aNPMJLwh9kFhyYuImyQXsve5iShKV9zYxMnEYK4
+Nmd9REmYQ33m7dgRIpx4+SSAJE9CV6FfpgcpXDP88zxZh4SkZjNaIw4iaErb
+DB+1JmFcZD5tBzsRFqPmXDVcSMjVn7lPhcKuG0ZC7kQSbt5a7J9hIwKb3lh3
+SQYJww8W00RQOK9Sz/E7iYRqzOP4gMIKHP2c7J9IKCcxC1coPPxU473iDAnX
+qdrzgcKPvnaav/hHQq+p3dduUJjp4vW9uSw1+Fojr9yRwvHhjaWjvDXIOsBd
+XkxhiT94d59kDe70Ed9ipNjToV1FK6dUg0xpJ2TsKfygTCLT4V4Nqtj5SP2i
+8L9DhWqp9jW4rURI86L4F+h4er3fswaHGExlz1H8F/ySHsMUXYOGRo8+/KQw
+6Ty//KX8GjTpoNlopuh3ixg3b9VYg+NSy6F5FH3nVznexQ7U4BctCf1siv6H
+i/eNUFPX4mFnotM4JT53fDduTR2qRduwOzfEKfFMNJpubxauxc3v7SUxfEQQ
+PlhR4aNTi94DQyxFlHx4tJQoamNTizGKIfb6Jyj12+SbpuZei36fDijznCSC
+rKMB8WB+Leb3SCqNUfLNS1Vx15+mWsQfNsujZ4jQKSjuNjhUi1Iv3bZ/nSVC
+9oJbeTdtHd4hVFrqSFD0itZODTlTh9+J2t93UvJf16tj3EOqDofLf2imyxLh
+hcNlridX6nDmj7Ce9hUi1CufCtHVq8PHZNBYVCSC8ta2C7dnHa58331lUYsI
+9/VT76aP1KFRTlQZ+yNKPSgeiYiYq6P4/+tc62MipEoE9r1drcO2ecsbbyj1
+v8jyTMmauR6diOfqRV0o9VyrclFMoh6N9++Ql3pHBN+ja6zVfvVIzdj25L8i
+IuTuslDLCa9HLrMPp0PLKf3nz4hPbFI9qpdwXZYiEeFQTyuNS0U9Bogu0WRS
++lmCS/TKlel6zAzyTeYfJELphFxHt3QD2r2ltbKmDYUv11x++F1twOJKfp4i
+xlD4nVtzSFmjATVrWunpKP1U8vnF+62mDcjsYbevhS0Uyg+c+V0X1IC7Y+fz
+uin9uEKe42jhbANy6G29GrgTCtWpK/YhIe+xNebRDrm6UGiwiDmiu9iIPy64
+T+5PCIOiOUtL/d+NGHnKbI4tPQySzaSqHlA14ct7NFoCeWHgYdJ/24a1Cacd
+K+XUSWFwzXBfpJt0E15mGglf/RoG3boebLm+Tfg87UOuIWs4DF+zPkh7uhm7
+Chk/ZvuFw5ogYU+OdQsetzewK6L8f2n+Zu09ItCGXFlPPg3QRYPEfwalN3M7
+EGBSZXdYLHS4i3c1n+zGYDlFJbPseOAJXPibsfwRI5b0n+xVSoSF9dGRz6Kf
+cPhpZEPxfBIkz1e1sfj34h7VAzor7SnAwpVGnprqw3Eh3aPC79PA17zEJJ7/
+C75jZOrfKMqA3zJZU2av+lEtTunJv8UscBBrLD70fgCfdeXujuPMhdHcRp+e
+Y4M4G3bkhZxKPmxY9EUJPRvCm2aoExBaAKcuM2ybVA2jnz90mQ4UwtXEY6YF
+h0fwWd3IdvCVYnjCdY93/M4oejp/laLNLAHhRc2d/SpjyCIQsSB+qAwO7Flh
+bPw3hsPLAS1HCsuBrjYqjy96HMU4eme8ZSvBUrzqK5PSBDYznlLX3FENWdcN
+42t+T2CFY3CTRB8J1hY49s6ETqKz9u7M3OBaKLl5lTZEfgoDPx6ZKGuqg1fX
+POKKZ6aQvTW4PruiHo59UxxI8pjGYcb0dShoAClJ9xB2sRkMNEs497TlPdzh
+7v5L3TuD3tKvNCT6GmGtzW/ioct3dFNvNcijboZwOn0HDf5ZdBzlThjjb4ED
+IyWJNI2z2D71IjtUqRXoX7rcumg3hxzOxpfqiR+AKkM/b2L/PLLePnthtrcN
+HkXm+e1vmEdN1ij6BskOIJ3yYtxns4DTcim+rvGdsE/xkbAryyIelCe26G10
+wfDpj71PqxfxvvDddw/xI+THIv+U/hK28L/3bfn7Ee7mSezj2l5CtlNcNIkl
+PfDaI8FlOHMZW/lnBDQ8P0HOLFcUizIZzT+bzgSr9YJXjIfBiCoZm7tjF3lv
+9YKRxpJArjoZXTJn7xVq9wJndXW+ijYZjT90+n3S74W3AXrNvoZk5GfxYWCz
+7gUziYgfzE/JOPv9klOZdy/wurNeY0gl46Jc5dNr73th+8KL3f3pZGTIvCYy
+3dwLX5cmP6VmkTEjOU/Nta0XArWL7ioUkJFzi2eU1NML/53UsPeoJqN0igSf
+1FgvDPcExNL2klECYlWubvVC+Zv1B72fyXg9KHxinqoPQi7dE0oaIGPLXOe0
+P10fKKWIFMuOkFFPnEZyYGcfVDp1fnCZI6M/L4H+IUcfhJ4+H6C+SEYq56pd
+h7n7wG4i+tYxMhk/rKe41hzrgxPKVqN1q2Ts6u6vYBHqAzrqvuTAdTIq2J16
+XibcB2MllywM/pHRvow2y0C0D6otks6IbpGRr9HkOrN4H4Tx7Fz77z8y7iq7
+rVUs2Qf/Ay9fKpI=
+       "]]},
+     Annotation[#, "Charting`Private`Tag$670939#1"]& ], 
+    TagBox[
+     {RGBColor[1, 0, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVUnc0FY4fpSSpiJTISGZCKqPofT6kUnpkj0JWCWW0rIrHMzIy82TnoZD9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=
+
+       "]]},
+     Annotation[#, "Charting`Private`Tag$670939#2"]& ], 
+    TagBox[
+     {RGBColor[0, 0, 1], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVl3c8198Xx2lKJSqiSGW0JRkR52RkV2ZIWYmMEJKizFARsmd2UvbeH9vH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+       "]]},
+     Annotation[#, "Charting`Private`Tag$670939#3"]& ], 
+    TagBox[
+     {RGBColor[0, 1, 0], AbsoluteThickness[1.6], Opacity[1.], Dashing[None], 
+      LineBox[CompressedData["
+1:eJwVl3c81f8Xx+2s7J1dZIWyIt7H3kJRVGRrKSFRCRnZVBJF2aFk770399rZ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+       "]]},
+     Annotation[#, "Charting`Private`Tag$670939#4"]& ]}, {}},
+  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]],
+  ImagePadding->All,
+  Method->{
+   "DefaultBoundaryStyle" -> Automatic, 
+    "DefaultGraphicsInteraction" -> {
+     "Version" -> 1.2, "TrackMousePosition" -> {True, False}, 
+      "Effects" -> {
+       "Highlight" -> {"ratio" -> 2}, "HighlightPoint" -> {"ratio" -> 2}, 
+        "Droplines" -> {
+         "freeformCursorMode" -> True, 
+          "placement" -> {"x" -> "All", "y" -> "None"}}}}, "DefaultMeshStyle" -> 
+    AbsolutePointSize[6], "ScalingFunctions" -> None, 
+    "CoordinatesToolOptions" -> {"DisplayFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& ), "CopiedValueFunction" -> ({
+        (Identity[#]& )[
+         Part[#, 1]], 
+        (Identity[#]& )[
+         Part[#, 2]]}& )}},
+  PlotRange->{All, All},
+  PlotRangeClipping->True,
+  PlotRangePadding->{{
+     Scaled[0.02], 
+     Scaled[0.02]}, {
+     Scaled[0.05], 
+     Scaled[0.05]}},
+  Ticks->{Automatic, Automatic}]], "Output",
+ CellChangeTimes->{{3.87170287437222*^9, 3.8717028931817636`*^9}, {
+   3.871702949889225*^9, 3.871703049356779*^9}, 3.871703081871896*^9, 
+   3.871879858830941*^9, 3.871880025499048*^9, {3.871880175642625*^9, 
+   3.871880213702199*^9}, 3.87206462936876*^9, {3.872064698092545*^9, 
+   3.8720647026794767`*^9}, {3.872064772957456*^9, 3.872064790301361*^9}, {
+   3.872064844975148*^9, 3.872064950732012*^9}, {3.872064984218586*^9, 
+   3.8720650182300253`*^9}, {3.872065133828253*^9, 3.872065264562874*^9}, {
+   3.872065297870965*^9, 3.8720653469014473`*^9}, 3.87206542885458*^9, {
+   3.872065474429612*^9, 3.8720655302331553`*^9}, 3.872065594878545*^9, {
+   3.872065635999401*^9, 3.872065703806717*^9}, {3.872065736755961*^9, 
+   3.8720657832848263`*^9}, 3.872065876256153*^9, {3.8720661246208076`*^9, 
+   3.872066139069813*^9}, 3.8720662039121847`*^9, {3.8720819736384497`*^9, 
+   3.87208199678341*^9}, {3.872083143301827*^9, 3.872083159607027*^9}, 
+   3.872083191757867*^9, {3.872083226802574*^9, 3.872083252629571*^9}, {
+   3.8720833089856577`*^9, 3.872083316052683*^9}, {3.872083417458413*^9, 
+   3.872083435264769*^9}, 3.872084174563054*^9, 3.8720843680809727`*^9, {
+   3.872084446188643*^9, 3.872084597822653*^9}, {3.8720846436348124`*^9, 
+   3.872084712749056*^9}, {3.8720847870798798`*^9, 3.872084995365494*^9}, {
+   3.872085030633149*^9, 3.872085047427567*^9}, {3.872085078449613*^9, 
+   3.8720851544205503`*^9}},
+ CellLabel->
+  "Out[375]=",ExpressionUUID->"89ee8c86-c96d-412d-89aa-2c85ede7204f"]
+}, Open  ]]
+},
+WindowSize->{1389.75, 768.75},
+WindowMargins->{{0, Automatic}, {0, Automatic}},
+FrontEndVersion->"13.0 for Linux x86 (64-bit) (December 2, 2021)",
+StyleDefinitions->"Default.nb",
+ExpressionUUID->"828f7dc0-bf6e-4f58-acc6-c9dad38ac32c"
+]
+(* End of Notebook Content *)
+
+(* Internal cache information *)
+(*CellTagsOutline
+CellTagsIndex->{}
+*)
+(*CellTagsIndex
+CellTagsIndex->{}
+*)
+(*NotebookFileOutline
+Notebook[{
+Cell[558, 20, 1142, 23, 92, "Input",ExpressionUUID->"502c7901-c122-4614-8b72-a04caf16b1e2"],
+Cell[1703, 45, 1200, 34, 51, "Input",ExpressionUUID->"8acf02de-4007-4da0-99ab-5688c509e7b2"],
+Cell[2906, 81, 444, 11, 50, "Input",ExpressionUUID->"e4eb0afd-6ac9-4727-a316-8fe76f4fcecb"],
+Cell[3353, 94, 556, 13, 50, "Input",ExpressionUUID->"8fe4d871-c7e0-46fe-8f61-898f90834b8b"],
+Cell[CellGroupData[{
+Cell[3934, 111, 1277, 28, 90, "Input",ExpressionUUID->"221cdf39-c3eb-4a84-8500-19e402ba9a9a"],
+Cell[5214, 141, 62870, 1051, 230, "Output",ExpressionUUID->"f05461a8-0cca-4932-a381-7e72b06b3de1"]
+}, Open  ]],
+Cell[68099, 1195, 2629, 73, 70, "Input",ExpressionUUID->"d800b49f-9b04-4303-885e-198701a8fba7"],
+Cell[70731, 1270, 553, 13, 29, "Input",ExpressionUUID->"036b641c-9c8b-4000-ae1a-448fc6136597"],
+Cell[CellGroupData[{
+Cell[71309, 1287, 908, 23, 51, "Input",ExpressionUUID->"6f15ea9b-99d5-4a4e-88e1-2b680fb1bba2"],
+Cell[72220, 1312, 39327, 671, 221, "Output",ExpressionUUID->"54a7a327-beda-4912-be8c-b81fdb4dfb94"]
+}, Open  ]],
+Cell[111562, 1986, 1364, 29, 45, "Input",ExpressionUUID->"eba599fa-45b7-41f1-be81-be340b9f2765"],
+Cell[112929, 2017, 152, 3, 29, "Input",ExpressionUUID->"13088433-79fd-452c-b338-1a672d1bcbdb"],
+Cell[CellGroupData[{
+Cell[113106, 2024, 1776, 37, 51, "Input",ExpressionUUID->"d15ee31f-722c-4a79-b9bf-b0ddb3b85de9"],
+Cell[114885, 2063, 45354, 768, 253, "Output",ExpressionUUID->"89ee8c86-c96d-412d-89aa-2c85ede7204f"]
+}, Open  ]]
+}
+]
+*)
+
-- 
2.18.1