diff options
Diffstat (limited to 'mathemathica_fwm')
-rwxr-xr-x | mathemathica_fwm/CounterPropFWM.nb | 19850 |
1 files changed, 18292 insertions, 1558 deletions
diff --git a/mathemathica_fwm/CounterPropFWM.nb b/mathemathica_fwm/CounterPropFWM.nb index 66b4d75..2dfdca0 100755 --- a/mathemathica_fwm/CounterPropFWM.nb +++ b/mathemathica_fwm/CounterPropFWM.nb @@ -10,10 +10,10 @@ NotebookFileLineBreakTest
NotebookFileLineBreakTest
NotebookDataPosition[ 145, 7]
-NotebookDataLength[ 251067, 6348]
-NotebookOptionsPosition[ 243537, 6132]
-NotebookOutlinePosition[ 243930, 6149]
-CellTagsIndexPosition[ 243887, 6146]
+NotebookDataLength[ 1227086, 23082]
+NotebookOptionsPosition[ 1216617, 22784]
+NotebookOutlinePosition[ 1217010, 22801]
+CellTagsIndexPosition[ 1216967, 22798]
WindowFrame->Normal*)
(* Beginning of Notebook Content *)
@@ -3932,6 +3932,10 @@ Cell[CellGroupData[{ Cell["Results", "Section"],
+Cell[CellGroupData[{
+
+Cell["More setup", "Subsection"],
+
Cell["\<\
Choose number of spatial points.\
\>", "MathCaption",
@@ -4046,35 +4050,39 @@ Cell[BoxData[ RowBox[{
RowBox[{"SetOptions", "[",
RowBox[{"NDSolve", ",",
- RowBox[{"PrecisionGoal", "\[Rule]", "5"}], ",",
- RowBox[{"AccuracyGoal", "\[Rule]", "5"}]}], "]"}], ";"}]], "Input"],
+ RowBox[{"PrecisionGoal", "\[Rule]", "4"}], ",",
+ RowBox[{"AccuracyGoal", "\[Rule]", "4"}]}], "]"}], ";"}]], "Input"],
-Cell[TextData[{
- "Here we choose parameters and integrate the equations for the co- and \
-counter-propagating cases. Black is ",
- Cell[BoxData[
- FormBox[
- SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]],
- FormatType->"TraditionalForm"],
- " pulse before the medium, blue is ",
- Cell[BoxData[
- FormBox[
- SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]],
- FormatType->"TraditionalForm"],
- " pulse after the medium, red is ",
- Cell[BoxData[
- FormBox[
- SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]],
- FormatType->"TraditionalForm"],
- " pulse after the medium. Solid lines are co-propagating, dashed lines are \
-fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. "
-}], "MathCaption",
+Cell[BoxData[{
+ RowBox[{
+ RowBox[{"SetOptions", "[",
+ RowBox[{"Plot", ",",
+ RowBox[{"PlotRange", "\[Rule]", "All"}], ",",
+ RowBox[{"Frame", "\[Rule]", "True"}]}], "]"}],
+ ";"}], "\[IndentingNewLine]",
+ RowBox[{
+ RowBox[{"SetOptions", "[",
+ RowBox[{"ListDensityPlot", ",",
+ RowBox[{"PlotRange", "\[Rule]", "All"}]}], "]"}], ";"}]}], "Input"],
+
+Cell["\<\
+Here we choose parameters and integrate the equations for the co- and \
+counter-propagating cases.\
+\>", "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
- CellID->434761194],
+ CellID->434761194]
+}, Open ]],
Cell[CellGroupData[{
-Cell["case I", "Subsection"],
+Cell[TextData[{
+ "case I (",
+ Cell[BoxData[
+ FormBox[
+ RowBox[{"f", "=", "0"}], TraditionalForm]], "None",
+ FormatType->"TraditionalForm"],
+ ")"
+}], "Subsection"],
Cell[BoxData[
RowBox[{
@@ -4156,9 +4164,8 @@ Cell[BoxData[ Cell[BoxData[{
RowBox[{
RowBox[{"alleqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"alleqs", "/.", "params"}], "]"}]}]}], ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"alleqs", "/.", "params"}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{"sol", "=",
RowBox[{"NDSolve", "[",
@@ -4177,10 +4184,8 @@ Cell[BoxData[{ RowBox[{
RowBox[{"TableForm", "[",
RowBox[{"allcountereqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"allcountereqs", "/.", "params"}], "]"}]}]}], "]"}],
- ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"allcountereqs", "/.", "params"}], "]"}]}], "]"}], ";"}], "\n",
RowBox[{
RowBox[{"countersol", "=",
RowBox[{"NDSolve", "[",
@@ -4195,6 +4200,26 @@ Cell[BoxData[{ SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"],
+Cell[TextData[{
+ "Time dependence before and after the cell. ",
+ " Black is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse before the medium, blue is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse after the medium, red is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]]],
+ " pulse after the medium. Solid lines are co-propagating, dashed lines are \
+fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. "
+}], "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->117093481],
+
Cell[CellGroupData[{
Cell[BoxData[
@@ -4207,32 +4232,65 @@ Cell[BoxData[ RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"sol", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",",
RowBox[{
RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"countersol", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], "]"}], ",",
RowBox[{"{",
@@ -4244,7 +4302,6 @@ Cell[BoxData[ RowBox[{"5.", " ",
SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}], ",",
- RowBox[{"PlotRange", "\[Rule]", "All"}], ",",
RowBox[{"PlotStyle", "\[Rule]",
RowBox[{"{",
RowBox[{"Black", ",", "Blue", ",", "Red", ",",
@@ -4252,7 +4309,6 @@ Cell[BoxData[ RowBox[{"Blue", ",", "Dashed"}], "]"}], ",",
RowBox[{"Directive", "[",
RowBox[{"Red", ",", "Dashed"}], "]"}]}], "}"}]}], ",",
- RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
@@ -4263,481 +4319,480 @@ Cell[BoxData[ Cell[BoxData[
GraphicsBox[{{}, {},
{GrayLevel[0], LineBox[CompressedData["
-1:eJwt2Gk4Vd/bB3AhIRQRKRkSQtIkDlbuZIg0KEqE0CBzpkw5Z5tCmTKT0MmY
-MSqllTmU8ZyUKPETKSFTGfvv57qeV/v6vNp77f29v2tdW9LGxfgyKwsLy4Y1
-LCz/dw1jCfOt/MvEdipeqtneFPAdMXW5PsfEio/kKnJiKeD8TsZOfJqJP83y
-5dQUUsA0ucko/CcT/8ofkDj4lQIyyhySF78w8ZncgCFJA3VosAp5w97AxK3J
-m3ZultKANa+DBM9GM3HYMcPYpiFN8AugFk/vZOJ8YG4Sfq8FUx6NVdZSTJw3
-V7T/zIgW2DlyN7ZvZ+Kgzn8j9/9owXHz+L4CYSZ2yOKXtxIF2KaWx2nLxcT8
-AQsb46wBqmc7bBjjDHxusnawZhJg2UFcuOIJA/N/sOQI3KINty7gQE9g4Gg5
-1dHL6TowfGJlqwRiYPEti293lOqAobbG81YKA2dGeelP1euAiOKLKfEDDHxk
-8K105U8deLJSealVhoFb2CyVJ9V14XtmkbY4DwMLXDKokx/QhTOj6etaerrx
-2+a0Z7+V9UHOwy96m2M3DjAWFtdjMwS9nhMr06lduFRG5PLanFPgmXyFc8Pz
-TlxVYd9/veAsxCstPcxo7sBfHA/aCXGagcV4mVvBShsWDXhepu9jCbzqCUuC
-6u/wwf6hb9f1bICXzZu1ObEVz1cp1RTfuAwKkYPaHB3NeJft3rAGdXtIumPA
-enfnG7zW8/7rIwJOML79q/+N4Ebsahik/yDCFazdVvf+97oeFz0wcb3NvAFS
-mlvt0rfU4bhcK++fXJ7A2lLT+fVkDf73SvnVH29vSHy7c2ad2CvcIuLhtNzj
-A41/mtBATxUONV9IPLjiB8p0n3/vjj3FScLTjfv23QJV7V0vDBfKcf/PlRWx
-9VSo1PvON/GjHL889vX4Pz4q7DueaxvTX44X87hTvwhQQdFkJ+/71+X42sVY
-2SRRKkhclbS2DC3HDeKDvZO7qMAVuYXDbVM5tmoumdTUp8Knbi7jxN1luO2K
-SdjhICosNjAZtfXFeDSAdb37NBXYkoTs7+QWY+Nbt75WzlGBx9501TSyGE91
-PjOd/0sFMd6PcuPGxTiOUr3d9R8VtEz6AjYPFeGejNgJXR4ahH4blHVgKcJ+
-m7QVqDtpwM8x6SeoWYgPjiuXbTalgejHPfwDEoW4tGRTOrcZDaQKXHPy2Qux
-o+/j+SVzGhw4Md2J3hVg3tHV2Z5LNDBNnNtpb16AtYVUxp2caJAus9zxyicf
-j3p2eG0PpoGcHpf01ae5OEqYezawhAZNLKKwOT0Xvzz8fvN0GQ1sX8hbNtJy
-8Yt31A+XKmiQsft48g6jXCw8vkuJUkUDIcFonq//5eDiilKB9joasA4Kzp3n
-z8G63w1aaO9p0O8r0WTgSMf6Dp63+Rdo4Htg738Lp+l4JaH+/MElGghPAEv+
-ITqWTTn6yHSFBsaXbCnr2Og4bpFeGruGgBa9nOL6lIf4+d1A/zEuAp4KKiZp
-vMnGvy4+ExMXJSC6+NA1JaksHN72US9dlQCl2SnVnLVZ+FOJulAChYB2tQKu
-7WOZeJnXoS1CgwDexm2FvKWZ2OIpY8FRi4DIvjUT45qZeGmHhzSPPgF8/Mmj
-pk8ycOqcUVeFKQFG6dzhur4ZuL/621u/8wTckQ2QV4EM/H35WNbhCwRwIxsn
-oY77mP/78MdXFwngcFCcYfxIx6ENETbxdgSsNtSsnpJKw5/PnNua70aA5qn9
-mVpjqZgTi5hpuhPg3/cIlEtTcSpvpW27BwGLvyOCN6BUHBEq1j/iTcD8dhPu
-drMU/L3gwJHfAQRM3BwTMoxNwqemz8g7hBMwoCiwW4clHmcqPhj6dZ8A/TDp
-Lyut97D4jl5LjgcElA6qRD9NuIfTOU2Xt2YSQCSa/5ZVuIdv/ZFNQdkEyLA8
-quQ2jcNKp6uPX8ohwJFxCHUWxuAdrsf3bSsm4P1ug8nbXjE4z7g/nKOEAHTb
-IhMgBlsGqy79Ir3dl3XtlaJoLHA4eldFGQF2Rgl3FdiicP8OpzyxSgKmZl5k
-PC2OwGUD3e12LwmoyxtgkTsagW2+H4mWqCbg3kV225TecFyhUW7TS1rljZGs
-P3s4Hl2d1jqCCQhI/VoCF8JwcYRe91QNASdOrhV4MhmK2Sn8Ugm1BEiwy3tI
-h4Rixt5GQqWOgAYnd9V1pSFY12nY07We/D7AUftubTBWyv+9tbaRgP45+R0o
-LQgrXV78adREQFHByZAS5SD8WWGq9QPpU4Ipx+LMCdx1vKxi6A0BiaMK3efK
-qDgwS2jv+xYCrqWfOtCiS8WFj3hvGLQScCP7h6Ln80A8EyFZU026yjOgksJ3
-C2cG1RLJbwnQ3fawqbHKF8+/4ExXbCPAsp117MN3HxxaHe56m7Qn1Wb9D2Ef
-7HpzwmmQNH1Y8hSflzcu3Jk/FNFOQHUi7YbEIy/cUPHQrI80U38wfh/TE8+q
-vf0r10EAW1Fmr+k+D5x143fxS9KiVizL1y654/DRlEaWTgL28Vtv94u5gSPe
-17Fpk7bxFLd9MOGK459MzWHSvrKBIWVirnh3JD3/L2mpJ69OhqU4412FKsF7
-ugig+mn0dpg4YFxwoSiedMnAktjsE3scnZq5VEf6i/ZLGxGBa9h0RtF1gjRf
-nm+uhusVzGnfxy3cTeadhzJu3W6HdRKq3mqQdnRdUA5RtMV+Q8PlVqTTmc89
-8yMuYc6ICzWBpBPdpjzSuqywkoPIbDrpWTWX1f/uWuCN68VOPCNtzDoRpmhg
-hh/HX21vJ13W6sjvyWGKP3784/Ef6Y33fqa+qjPGGifaYY50/1OmPs/qCXyW
-f/wAO4OAFL1u8/te+th22PjERtKmHzuclSYB39yzNmoLaZnuVLbADhVsx8Ix
-K05aa1ThzBHaDlzNbUbdQVr5nHfQNzdu1J7Lul+atGOLe4ToRWX0sGcdjxTp
-6dybdn8dNNGMuvN6MdIa9UjcQVMHKUtp7BUiHbgPeD41GCJ3n5sB3KQHO7P8
-pWVOo4AP8lPL5PMSnDtm+uzPoufe5uHjpKW16Pb3is6h3eqbjvWSbvLe+dXg
-9wUUnGe+p5701ZIcU9aDlmjxJ9IoIB08c2/EotoaXf3wxiWKtEk0M0vV0gbt
-G1rT6kJaRkHooiCLHTqxa8HgBOn5JhORqazLiOLyYnoX6eTVnqjcb9eQqGbX
-04/k97RPFTYICruOkkK0GYWkKSrn11rtckRzRlWb/Un3OfX6bXZyQTFLkwKC
-pHvY7271CXNF3G3db/vIPGHj3QtXzruhj/PLhZmkoyecKo4s3kB2ejeGJEnf
-1OCLU37rjhJDhlW/kPm1jih22Z7ugeYNxp8mkVaWmZRf1PRCLJX88qykuy+6
-ZpXRfFDD/t2TFeS8FBq+GzSz80UhZhrPjEkHq8lJser5ofnsXzK/3hFwSOhr
-tjFPANJKM1oVJn1iRLbbx5CK1tNlEnTIeaV8Npluq6aitj3HspvJ+ZZlBglI
-KdFQ1c4rZvqkWeoGjFs3EmhOsb1Js5mA8vtJDNGeIMTcoJXLQvZFRnzjjLNe
-MGJIb+G1J/slMnJmU/3zYPRPmybe3kD2oc/Jsw5pIaiBbmYYRfaRsMm69y+t
-w9BRyd7mEbLP/Hm8eyx+RiCzg7aFf1+Q/cL2aL7UIhLtlstlVyRtsti9eW17
-JGpMN9xoUUXub9+VzhWV3kGpw/pa5c/I/NSPfFjxjEIj9sf4DlUQ8FCz0PEk
-Syz6NGlUl/2Y7AO1Ov8F1VikbMHhmVVIQMyB3jsP3WJRtPGLwfQC8v4K64r+
-DMUizrMeP8PzyHnYYvvrQWMcUu1d6tSgE8A5J+o8FRGPHge7OHGkEXBWMs65
-63U8EglubfuWQkCWEZdL+Ww80oses6hLJt9nzh8XD8sEtOvCHS73RHI+zjHd
-/u5NREEJ+wvLYwnorLrrydKbhEbmwm4XhpF5u8USsFE2DfX/UEwJI/fH4QLv
-gN/maUjieuc3XlcC9n6YCOiOSUMQRvGIdSagdc/nW/GLaYgmcdQsxoGA5a9V
-VJH2dCRX4n3e6TKZH233YAnPDLQ3L6mDTu7XguwzOsmDmeiNovhXPk0CVPlC
-BbRWM1HAMZ5uYXUCLopsGRgVzUJmsiG5YmoE5CgevnnobBbSS5BYI3GQzI9J
-ZEFPUxY6z3kx/J8iARdydmwQepyNVk6HDstvIyBT/+zHWC86cvqsLqj+lwYN
-xqN0tXt09Cm1IntojgZjFr5ugyV09Mrmi1rYDA32uWVy7x2jI9E+lbA3EzSo
-TxnX6DR/hHK3VtdIf6PByI/gLD7IQePPXzQZd9FA4W7l9cj1eehS8juF0Fwa
-aLWHGBbJ5iH9ctHFz3TyfLfBVLFDOw/FSOYK7c+mARE7/0vAPw89p0yqvU+n
-waeEQ26p43nIvTHk4kIsDW5nVHnnt+UjI+EnR+v8aDBc8ir4TXQhigyjHrU2
-Is933Y0ZbIIl6KLuIwvxMSo4bXGefNxVjra8MJp/J0SFEy1XU8H6KbLaPbKp
-TvoWxIXaGeqUV6GrkiWu5YL+wC7FGRw5U41iRG81lEz7wP3tbQ8/a9agux1d
-HV4x3vCjPImz6L9alFdk9HTW2BNEwnr3/X5cjzgEH8rH/7oBfwe3fR0/14is
-Kp2r+etdYbJwf1f4YhNiWpVl2fs4QXNlbVhaTTPKb9ifOWRuD8a6p2vtrrUi
-K7qa9M6uy4A3n6/J3v8OPTp+eNdmExsA031sxHwbkpxIK4mIsQSvbXwtImkd
-6BH3ilBpuBnoxirLx5V1Ivreo+usWs9CwYcLZe6hXSgrRhTxLZ+C1PfOn3ae
-60b0zwa7u5INQUAw407JhW70jM71/mqgIYQbtyE1y260kV+Llf+KIdzsUHh4
-/HI3clh41Za63xBMW747uLt3I+urUUaRHQYg8MpmpSa6G9Hm3mzq5TaACLqp
-hEVzN1pj3Vc1FaUPvu7oSpwaA61tcN+k+lYH/lW4hw1oMFD8qXLjpGc6EDyf
-l6eoxUDHHEuH2Ok6EOWz6WeTLgOVm1j0cgfoQFbgd5elMwy0rN5qXbtHB5oj
-43zsnBkogIvo6U46CpvpI3dUHjLQ0R+jUeduaMMTZtSTTzxM9P3JldeuJwFs
-Kgu2R2xkIhvtIw8MNQEEEpvC1QSZ6LxOnYqKAoDruVWr5K1MlLzZ6jJlHYDS
-JyceU3kmYj2QVrzyWgvyBo5f7tJjIgofu/3VA1pw/we3cDPBRNeVBkbWnUZw
-/K0M4R3KRCln5FZClBEsFx75JRPBRGI8c6KSGxFccPKtD4llogSeacniDk0Q
-mRpz0c5kovcx46ckT2lC3FxzM37FRMoLB7+Zm2oA9Azvd65lIml3/ydZhzRg
-6inLA7FGJrLibbdi26IBJ2+qevq/YyIvFlku0X514FnKlaT0kevlO5IRZ6sO
-1X31d8a+MBGPlrZFpY46OFQP/EkeYqJIDcUrM7Lq0Bog3P5njFyvpaxQ7TgF
-fCz3q+X+YiLVMrbEUx0UkDt8km76m4nq5SxEl8oo8FHcYQPHHBNJSMvG1MRT
-4P//b6D4az+/ZXpT4H/bFEqw
+1:eJwt2Hk0Vd3/B3CZQigiQ4bIkKHSzI2dz+MxZIhkTINE5Wue57r3EKLIkDmP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"]]},
{RGBColor[0, 0, 1], LineBox[CompressedData["
-1:eJwt2Hk0Ff//B/AbUmSpkOVTyF6WRAvJO69k+RCiUJSEimQne4R7J5Q9e7Kv
-WbJF8o64tuz3JqVItJBPlEgb3/md8/trzuOcmTNz5v18vt5zZqedm9lFFgqF
-wruOQvm/I0EhAupWmNh40f/Iu4daEPDBwu3KEhMPRYZqm3dpgWuvjIPYNyaW
-jo1/83xUCyxSO4wiPzNxug/f0tpPLZBRZt95bpyJqwc2ZqwcBmg/T+1ka2fi
-T4rhQuF0gHVPwvlPxTKxUL8c/eDkUQgMDq34Jk16v4vmj2M6sOBNb7SVYGK/
-Su+aNisdcLjKSe8XZWK3kEv3ct114Lh10lipIBPLnddkS83Uge3qxRvtOZiY
-qr9rr92SDjz+PmDHmGNgrT3Sd4NLdeGPs5hgbQ0DV6idDN0hqQ/XrXCIDzBw
-3EDGH5cThjBt/PcfccTAd7qbVi47GYKh9uGGnkMMvGip5OkdZghCCo8WxPYx
-8FTNOwq91hBq/tZd6JFh4IMWTTd1RI7Dp+xybTEuBt5+2VS899NxOPkxc0P3
-yDDWuHlsSCnJGOS8A2O3Xx3Gx/TYBUX5TEFvxPjvt/QhHHzGwVeF2xx8Ui9t
-5G0YxA0L73N2SVpBktLvvKyuAdzQ15QdU3oezs498Cj924ezZQXrqvTsgVvj
-zm9+jV7cMu0Yc13iMnCz+rJ0JffgoGuWn5/JOIN89KQ2+0AXnuQXsg9cdIOU
-WwYst6U7Mb3RrrXX0RPmRN8GeUbQseydz68MvnuDrcfq3qknbXjNV/7n1Jgv
-SGj+45Ap/BSHrdBuNJcEAEt3y+BbkxasUujf/vxJMCQ/k17csKMZV3235E27
-EAr0Hx1oYqQR3z3mmmTz5AYo5/uv9f5bj8PUJzseyYSDmvauR4Y/q/HOWavR
-QasIqNP7xPNlthrPrlgwW89HgMrxIvu419X4+wW6bpVDBCiYS3M/f1KNO4Y1
-qFTXCBC/vNPWhlaNpf67JLUlLAI4ooXZPfiqcc7N5z2lxRHwapjDLFnxAV60
-9WoYWYyAX+1MRmtbBc7QuMMWd4MKrCkCTreKKnDUe7VTDVQqcDlZrFpEV+AU
-x++5byKpsIN7VG7OrAKrTx3cL5ZABS3zseBt78rx4j/FX4NzqUB7PynrTCnH
-AorsHMVPqbCFfT6QX7MMm9a+CMuh0EBkdM+WCfEynJL35t1FNhpIlLoXlrCV
-Yc3aLFbZjTTYZ/xtEPWW4vnPxSH3eGlgkbwk7WRdim+ZWyk4idIgU+bPQLN/
-CWb/+br8nAYN5PQ4pC7XF+HcNZ5Q7EmDDooIbMsswtNmUpRxHxrYP9ptQ79R
-hJ8c2RD4y48GWYrHUyWNivBT0Qbr3SE0EOCP5Xo7VYjn1jxyL0bTgGWSf+n0
-lkL8tN6S/988GrwOEO8wuJqPI83lRR8N0iBg396pn6b5uJdz6vQ1Bg0EvwCl
-5GA+bvIMtN8zQgOzC/aHNrDmYxkV1fcpYzTo1iusaEvLw7fmxkOOfqBBPb9C
-yuHOXBwjWs3z9xcNYisOOipJ5GCBwwLJazsJUPq+oFa4Pgcfv6nZTJUioF+9
-lEN0JhvzqTn+3iBLADd9exl3VTbuO7v3IUWBgOixdV/mNLOxbn3z+rb9BPBs
-Sf1oUZOFR8dUeyP1CTDK5IzUDcjCuUU3WwYNCLglG7z7AGRh8emoh3xGBHAi
-OxeBgbt4hGWt+LYpAezOCouM2UzM+FLpb2pFwGp7y+oJiQw85dvyXNCZAM0T
-qtlaM+lYWWeLi6gLAUFjBaBclY5v7BVbEncj4NfXqAhelI5LlYUZwl4ELIua
-c/afScMrA0bFrwII+OI3I2AYn4LXNRl3p0QSMKGwVVGHkoT9U/u7V/II0Cek
-xv/2JOIPMaI/LhQQUDV5ILb+TiK+x74W0llIQFiy9VdZ+URcXvQthyghQIZS
-UMdpkYDnj1kLvK4g4CrjIBosi8Psv++pPG8g4LmiwfzNa3HYdxNjgPURAejm
-2WyAOCxd+xsrNREgGsCy/lJ5LK46OR3n30yAg9Gd2/KsMZhIObL4rpWAhcVH
-WfUVUTjlkMEBth4CnhZPUOSORWGJFz8rf5BOPMdmn/YyEm9QHfP8+IyAA51G
-skFskRiWxIab+ggITn9bCVYE3n2xb/bgEAHGJuu31szT8Iarx3O5hwkQZ9vt
-LUWl4d7HwtkTpNtdvNQ2VFFx42YDFz8muT7A3tq7PgIbSI0fC35BwOul3ZIo
-Ixy3shVK7x8loLzUhFqpHI6P0OQMZkif4E/7N8E6DCsrS53TfUVA8kf5YcsH
-objwenIu4zUBjpkn9nXrhuLXRX2pLm8I8MydVfBpCMFt2H6QdZyARp/gukM8
-17EMNZZFeoIA3e15HfTGAPza3MD50CQBNv0sMy8++WM+1tHVGtI+oXabZgX9
-semVteVd7wjIn955gueaL2YR2cW/aYqAx8k3PMULrmFbnVq1a6SZ+pNJKkwf
-/GxhtuUNadby7JcWKt6YTvX5nTNNgMh5yh/HC174/ujp8lXSKltsRQPjPHH4
-dfanlu8JsPMRs7/3xR1rJ3zaukY6QDaE+mCHO961WG1s9IEAiZpmEyLNFSve
-9ppLIR0aePjlgLkzpp7kMpL4SEDlxO8d32uccM1aKK8d6XHtJjuhrY7407SU
-ahZpnuKAosPul/DPc10PR0hrch2as+13wEUvXe5u+kTmy/2nMlXBHjf1K0wf
-Jp3JbPApibqAjb+uRl8hneyx4J0xdB6rdY0nJZH+ru62OnX7LOYq71x9RNqM
-5QuhYHAGc/fWdb8h/aDn6hYfdgu8X6pw6Q/pzYmf05ufmmFZIjlMaIZc73qm
-PteqMVZNo7ork07TG7a+e00fmw55PjlG2mJ0wFVpHrCwv42bOWmZ4XTWkIED
-uP3+v6F2pLU+yp88ekMSS1kf+OZMWtnSN/y9ByfK15Gle5C+2u0VJXJOGR2j
-iP/0Iv2tyM9hxVkTJX2VivEkfbgNiTlr6qBKM40IF9IhKsD1qt0Qqe1xGnMg
-PTmYEyQlY4rOXqxLPE06bKPk4pjTKdReIFuuT1pKK98psdwSpXt1ye4n3eEr
-/dbgqxW6LpXDKkr6cmWhBct+GxTztkmLlXTEYuKHs49t0clcyYlp8n2YxzJz
-1GzsUPuB6fGnpGXkBc7xUxyQkSan1l3Syx3mQgs5F1GDbB6LN+nU1ZGYoveO
-yDL68v1tpJ3SBQ3CiSuIg6068R25nocOnF5/ftdVFH++/HUp6TGXl4HbXNzQ
-u86/icqkR9hu/+NPuKO+S34sX8j8YDPFn5dOe6AhrvnhItKxX1xqj/7yRLcy
-pNI3k/Y7zJOg/MwLJRfzxj8h82gbVeEmmumNrNebzF4hrSwzv/uX5jWE1uTb
-68k8D59zz3lwwx91yRwQkiTzX2bYO3nGIQBFJ+YUlJH9iVCXk2DRC0Tynwe/
-7SF9UOBtrhlXMDq/T7Jfnuyb8QfZYX/DULS0KyxhgezroTfm3/oehyKNc0ly
-lqRlmeFbJZRuoLYOuxuNZL8pTyfMejaHIT2+R0EeZP+r76YwREbC0Q+1QwUV
-LwnISqIvuupFIJFP3GcXyfkRHb3I19YQgSQzOkZVSTv4m5xyzqAienWcdPEI
-AYLmG5432RIoL89JyIZBzn8u35Gzn6MQp9B7+ho5/xxZC5arzkYj+TA13nWk
-zX8Nb1vfH41sb6dKr3aT+9snJcvyqlsoWM2t6XMnmZ+2Dy/++sSgbeH/piW1
-EZCnWXbVhBKPErb439lBzmsR9adBP9Xi0QMl+vwYOc/j9r28lecRj14GVYon
-PyTvL7+h/Me7eBSMrDhWa8k+CNv/d4+egDz5pDdlVhKwcUnEdSEqCV1S/ha0
-JZ+AUzsTXIeeJKH8AyxFRbkE5BhxuFV/T0KtMpyHD+WQ77Pwh5u3zR3E8SG/
-5FQW2Q9LpsfK3mR0Qq64wCaVgMHG2z6UlylohR7T0BlN5u06JXizbAayMfm9
-b5Hc/6ZLfYO/Wmegb9euCAq5ErD3xZfg4bgMlPgnPkj9KgE9e95cT/qVgfxy
-yoc9HAn487YxVKg/EzlNNHQ22JL50faKEPfJQgYtsfnZJwjgZ1vUSZ3MRmfO
-x/aMKxKgxkPbqrWajZw5iEIHeQLOCQlPfBTJQTHDIrc/yBFQqHDE7+CpHJRw
-RDFkXJLMj3l06UhHDvrD1SV4T5gAq0JJXoH7uUi1n2biwEZAtv6p0fhr+Whc
-KfEExwsatJt9zFdPzEebnrqr8zFpMHM2wGOyMh8VLhZaCw/RQMUjm3PvTD7a
-v3baTOQZDdrS5g4PWhcgtYz8ffOYBh9mI3J4oBC90W1Q/FBAA/nbdVeiNxWj
-F3cehvB70ECrn2pYLluMbo+WtTS4kN93vBYKA9rFaP9nSsKZKzQIi1/+b2tQ
-MdIQqZqLs6fBqzsHPdLnilF6hF/1iDkNbmY1+pb0lSBhR3e2FnUaTFc2R3TG
-lqHlgvF129aokDVMz2Llr0QDIz6DB0Op4CLsOn9/qBrZ269fjveOAOPuy+lg
-W49o8xqrdfLhkEBzMNSpbkStr0c9Ol/fADaJjRHRi4/RHtHnGrphoXBXtC/v
-jWYLul4lUFbyNxhmq1M2lk+1ovVT3kvbpANBiHip8vV+G1oOEs2JE/aDlcnt
-b+cs6cj8bFtk2mkfmC9THYr81YEMA1QDLtA9oauulcho6UKGPXyxOrLuYKZr
-2urg2IPksqplG3qdAW873ZKr2ouWtW5Kw7nLABYqrGHLfShRR+jmP4H2cG07
-T7dQxgCStwtbvK9nC7rxyrsTHgyiCzd5WA6EW0HpC6sHXrQhJPbdJ7qtxBzS
-n7u+krYcRsGOvi1H0k1hK3/WrUqrYXTSYfcL7ihTiDTrQ+o2w8jjZOrDj/6m
-4Dcgn3f84jCqfdbeis+YgkX3J2cvr2EkLbrH/acweX2z3d+W2GHUpTLzKjPz
-BETlW4if7RpGzUcSRb6dMoEAL3QpQZ2BjjW/qq3vN4S1Wi9i4jAD7ZGYiqmq
-M4SI5eJiBS0GuiN2P+9xpiHE+PN97tBloPNBIVabnA0hJ+ST2++TDBSg4b8x
-bKMhdEUn+Du4MlC/zrv2Xl0D2Jb/4daBPAbazfNkfcagPtQwY2pecTHRPp5A
-QlNQF+zqSkWjNjPRSk26kAhFF7Ymd0Sq8zPRUOPHCs4ZHXC3XD2f+g8TVQYI
-NMo26YDSKxcui91MVDXH/tHEVgeKJ45fHNJjImbd1JBRxTG4O8sp2BXGRBG1
-63hLT2vD8WcyYb40JhK+fubSvLY2/Ck7+p9MFBO1KaZp6O3RBiuXgDZqPBOF
-6HMrK7Frg9DCjJt2Nvl8zx0XX9QehYSlri7czESYfpyIEzgKMDKt6trKRHlV
-ZxRX1h2FhXrKvR108nxdlOTxBcDET80nqJeJ3nlP+aR1AnD9Ltp5aIyJBGrf
-H30cAPB4rO3WzDgTzSq+LKki4+L8eOJH6jsmSl964l1/CqAnWLD/xwwTXTqi
-v3FZCcDfRlW96D8mSuN/37hnO4DcEZN8i69MFP7GOSeAA2BUzJmXfYmJHihe
-rBlZ1oL//7+BGPSaae1pLfgfF8Rdkg==
+1:eJwt2Hk0Ff//B/Ab0iZtQhIiFCrtEe+8kiVXtkKhCFmyE0JkvZOlZEn2yE6I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"]]},
{RGBColor[1, 0, 0], LineBox[CompressedData["
-1:eJwt2Hk8Vc0fB/DbJSRbUtbs+5ZKlsrkm6SyJGXJ7p6rqJDsIooSKltZy3Pt
-HrKnp6SR5IaErhtJWSpkSYQWled3ntfr99d5vf84r5kzM9/PzBw5mp+NJ5VC
-oQitolD+e8ZR4sLrf7Dxco6nxaKFOISP2/mdXGJjnmDrP6bHxcG3U5ku85WN
-PR4d21gRJQ52mUzL+Gk2np6n//OwVhyUdbjkXIbY2EF+TPetuAQ8dbv0jPMp
-G4co62jqzUjAqqYYkaNJbIwr2m9W5knBucjoyq9KbOzqGq7trCYLc4GtD9zl
-2ZjDpGpMf4cs0E/ztnZJs7FUkbSxvLksWDjdGCwTZePvCUVUBR9ZkDIs5SHW
-sHFNinXDqxpZaFzspvXO9GKvM7vfcSM5+H1KRvRuXS/eEqfQNeQhD+cdcVQQ
-9OIVs04h1wFF+Gj1R1IW9eKPJsJn2mcUwdxk1/2OHb142iL4hglFCcQ0G+Zk
-dHtxUQ6POV1FCer+1Ht0KPdirPZkr0OwEnxiVJjI8PXi8FtIcp2oMhyZuMXd
-3sfCZVTpkV+ECqgGnkuSOs3CP6sEqE5a6lDdvHWy34uF81uWl432qoOh4NSe
-NE8WHqmr+q7jpA4Hyxy+rXFjYQ5iXMwsXh1Oj2x3+X6YhXNt4b7uOPm+xZw6
-S5+FqSe76JIFGmCg5MmM42Bh6TMn3fapaYFZn9Wfr9kvsRl/q/gBXR0IyjzO
-I3i/BzMj0A68XRduaP8qyG3rxmnipTbJ6QbgPFPjX/bnBX55svDK/HoE/Dtv
-/hLZ2YmflPmuPyu7B/g5Qqht6R14S1Dq8LSzKWgkjppwdbdhoYDdYu+MD0DG
-1YPUa0rP8Bq5BW9bQ0uYkR6JOBvbivc0Cvx9ts4a3P1XtnxoasHmqq71nBJH
-QN5Ikn5L/Al2brTQ/MfPFqjtj3tGDj3Gd1capvu4HCD9udIC96ZHmENP55bM
-DUdo/c5Ew30PsHJP7yP3KWfQKQz7t/PAPcz9l/o4h4MbGJioNZj/rMVZiesE
-pRvcYfkpu7e5pRIvtNz25Wr2AI6MDd5XSyqx71JJCvOpB/B5263YJVZi/4qf
-jrFtHrCJ/7XqjE0l7hT+9/WPbg8wth2M3Pi+As91+1i1DnnA5bFRlVOUCowf
-RV2b+uUB67i+nBMxKsdRBtWEoy4NVM3WKJ64V4KNMvQGfW/TgEmRgI23SnBb
-U0WSLYMGRIO6a+uFEix3m/bGsIAGuVoWmQqWJTiv56zWr1IabBBJ4hv5UIyh
-DRe736UBdVRkyWFdMRZ3Zz6v76DB23BZ5sHThXi1Wohc9BINwnW3fPh5uBD3
-0Is3i/6ggegsUP7WL8TfT+jdKV+mgY0HsYOboxDzBRd97vyXBu1mxZUtWQV4
-xj0wdG4NAfdENDN2PcvHU+qf7zVsIiCpUt9LWz4Pr3myX/+oCQHai3MGxavz
-sKasVPUzUwK6DMvWSE8y8LMG9d/6+wngb5Uq569mYMVt2TyClgQkDq6anTFi
-4DvXLF6k2xEgsC5zwq4uFxMuX96t9SZg5enjFWv5HPxxs6tJbCIBRtbbGMaT
-2fg9rG1LukZAxGAR6FRnY/uFlOWMJAKW5xNiBVE2Zsk8p+emEfBN2pa361gW
-NtX03xyTQ8Bs6OQG85QMXBZpfqe8jIBhTWEtU8oNzIxeovozCdgfpzj0pyMN
-d3++82LxGQHVo3pJ926mYed9lMygdgIupjvNq2ikYeuqdlXfTgKUKUX1vHap
-uFZ1u+pOFgGne/VRT3ky1r6/du3edwS80jr45UpwMnZtlo/OGCIAXXFmACTj
-fKbr1MQwAdLh1NXHK5Lw9stNOVHvCaBb3rymwXEd316f654wQcDcQkPuvcoE
-XGfw7hPfPAFPSocpqnsTsLnkvOfmrwSkuXASWQPxWJbfvctqgQC9Z5YqEZzx
-uLpi0TV2iYDI7JEqcIzDn2a7/Tp+EsALXM2dq2Mxj8vIbPMqOrxdUldAOTH4
-+KzERC2VDhVlhy5V6cTgkrO2LQwOOliLZB1IdbqIB4vllANW0yF9QoNlXxON
-A3Xz47/y0GGfVAGz9UE4XhD/7eskSAfXLupk/6cwHMCwxBuF6BAUTVs7JRqG
-+Y0v8XaTLvwoZy0QHIKVRfZk6gnTgaOCMWC3NRA71tlFjYrQQcKN8tvLIwD/
-XDS4E7uBDlvXuUufSz6LN7sd6FXcSAdakAzx1+wZHBhTJOAsSofoc7sGum1P
-4eGn+7YUi9OhavjXpsU6b/zSPEV5iwQdhkwe0sSEvTAFItc/IG3Et2PGvYuO
-S/t39TZJ0mHR0G/lwzVnTK2emCjdRAcb6myc5sFj2K/v7U1JaTrUdJxeF8Rl
-hw2PbN2RSPrtPfZ+vhUrXPPQ1tNDhg7GExpH9lxQwByPeGBSlg469iExY/68
-aH7n5dsmcnQ43R6QIOGig9yfK37JJr2rBcmcMjJFO69t9TeWp0PUVuB789Qc
-+W5xzLtOerQnL0JR+TBqbV/PHCCtaFzonVZhj9ZY188cV6ADM0Rp5OC8IxLU
-dZotJX2iqtiOut0VJfwQ+DhB2jaJnWfgSkMTxQrlzop0UNbY4CJCoSMW3/6I
-VNLfmLZic3meiG6+ClpJZ670XS8Z80JZHx8XyinRwTtb9GBM3En0ak+yiTnp
-HXoOq93UTqNVFy6/8ifNy8p8vOO5D6oajHe8SXrQZ+DcRh8/dNv4AquedB/n
-NcmwuDOoy+qoUS9pbKP187iDP0qwm87+TLqY8aLvqNpZdO7Y5mlOZTokzfrc
-3bN8FhXz8mqLkw7dJZCq8zwAxXd5Euqk3RMq/aRvBSKZh1qJBqT3v7ay5PMJ
-Ql8yLItMSOsof1FfNgpGkkM1NeakxQKTeD4JhCDv+2bV1qRXPdk8/mo4BB3m
-+MOwIT0l2NPSUh2K+CwfxxwmzXI5k1dzIQwxXkU7WJIuN+8cPUYPR/ame11N
-SccaqspTzc6hyIefnxuSdlWJpZWpRaCmxoG8//qnv2Ek34YvEvFNy46Ikhbi
-2PVheTYSyQy9vbzqv/bmMhQKXp5H4Qqq6RPk97cMLRDmd6PQfiQt0EHaalyF
-FWYejY6WDM6W/jfe72y/vmiMRnOdkQaxpFXYMcLy2hfQmLDCtBNpkec1W4P/
-uoA8WFNcOqQpT4ZtOoQuooljS4kU0jP3+QOkL15E2z4T4S/I+R2o2pl2duEi
-0m91YKWTrr2d0SvRF4NS5mhN0qRzb7Qu+JrFIs6o5qPvyPWTmLiwvuV+LII2
-g6OZpOlhh46eyrmE3lwWSOUgffhMZGAT32X04d2jnjpyfaIT5TfWn7+MJmtV
-wt1Ji9pyv3roHodqpfr5q8j1zmmxfUmQFYeO6wf9sCY9t4fYQDe5ggYHz1t9
-IeulQ6fJlk85HmlYJhvJkY7gC+lznk5AO1ZTtRzJevPiKPpW7ZyIkhfMQ4fJ
-+rRdZm1c3ZWIYg+m6HiQ1v6kbV9RfRWF7/j06ZgUWT8t4/1/gq6jP3lfz8uS
-9d7VIPLj8MR15Fa2yyCezIeGmj1ixQ5JKHbMyn1WjGz/0CHNkk3JqD7vxZ8K
-Mk8KjMpPH6KkoFWhQWFUMn8kDJ9E/DRIQZKNvHVWZD4l6w5cLfBPQX6aya4Z
-68n+anBXfH+fgiIbdfilyTyzEyc+/9Waisxm3F9RyDzkWZLwnUu4gQ7wWoRJ
-kXl5VC7V92XTDeSdlT63m5sOeZZr/GoXb6C9owO27lzk/Bd/9wt0vYkEyqem
-MzjJ/LBn+//Yko4crzcefk+hQ8+Da0GUgQz0urqA9vEHAVLjnMGj/JlIu7J8
-uu87Ad7CEcFP9mSiro2R3sxvBFBPnQyJvZOJzKL2m95aJEBXyiyMJzoL7S7c
-kqAwR0DmeUqkkEoOmuO+WccYJ+BjWUjkvFMOEuj69oQ2RsCW/tlIVnIOGpdM
-7Jb7SEDH5nfnbyznIMZU6/v0UQJ+jzyIFuu6hZp8OThc3hLgbhIQKxuUi3ze
-Nd4/9pIAEc4F08xRBnq9qHlV/AEBBgKXhY1XGOgzY0PzsX8IcBETH56QyEO3
-DtEupdcTUKy5O1T/aB5Cc/ebVtcSoG+bWNbHzEMLMVSRh+R+7VisILjhTj5i
-GaTIXCT3c8b+o69TggtRbcFh5/hwAp7aTBQaphWi40Ml51xCCZh0DvcfrSpE
-HFvjLbSDCdjqz+DdMlmILCajuZn+BLRkzezqcSpCfu7h1C4vAsanYvMEoBjN
-GdcLAXke0bhWfzJxbSkae65woFGbAOOuS+YVKqUoNMuSa7smAXaCdprdJqWo
-zrm/oUyNPB+kfPssHFGKTIiDgtcUCXhzU98/e6YU5Zy5nqAlQcCV3Achf7/4
-G4W7JS8McZLjXfUo9llSObpjOzbL95o837FaczlEqpA3N+wbD6KBjCbzu7F2
-FXLYbMAePksDxiWm9fn9VeiEQbpgvx8N8g2eUX9GVCGv96Vp2JsGRbltx2fH
-qpD+1vxZfxca2NV7Zsw4VSP9eSHRU3tp4HrBy61fqwYdM9mwWC1EAx9x3y93
-XtaiA8qr8gfyPcCq/UQ2uN9Dns0HUwOy3SH1Mt3ctPYBqtl4IVhb2A045Xli
-Exca0admC5W3r5zhtvSLgndGj1EDV3GgwSFHmKrN4Kn40Izq56duZU3ag1jc
-wNb5Oy0oyThwbcoRW/gxKjUyY9+KYmNiLbf/sIEv5dtexi8z0ZCURpnEY2to
-q2+Oy3nchpweaNHDlyzAZt/hZrpXB1pK/Ip5uA4A3ujwOH9bJwp+dswpRNYU
-wG4rx8VvL5DZ2wzFkhqAYCmBdrGcbpT+YDB3b60R7EvRUU+t6UHdkSKb0UED
-KOt3rAm4/BItEPdkzGe3QfYr3zdK9iwUW1TK4DXRAWGR3KtVjixUF5RY7Ure
-f+JtXiBDVxbKuM+WeqSkA6HdGgUWniyUZp+2nMmjA3btn04FBLBQO7X/bubt
-zSD8iPbncRIL3W7ElrsatCGh0E7WuY2Fjivu1yqgakF4ADqeatiLRKSu7FvV
-pQb/3g2IG97Vi5SczOz0/lGD2G+lpZrGvSghJPTqOYYaXA9bP83c14u4vvEc
-0gtQg7yoT36/jvSiqw9/uZ8WV4O2xNQwum8vauhKcGJ7qcLGwvGregW95Pw6
-z7uvV4E69vW6N3xs5KfDUff2piLQ6sukE4TYKC6fml4ZrQjC6cx4QxE2cmpK
-tU09pQhn7FfcMiXZqHuO3zgJFEH7jQ+fnTobaY82Z7vMKkDpsIXnSzM22q2j
-qWtirgC3p3hF2y6ykc6/9dyT6+TB4rnyxZDLbDS4T1b//Qp5fy7f81k5gY2y
-JKK+TU/LgaNPeMulFDaSO+P6W4cpB2Jzk34mDDZq5dzOE31ODlKX2trwIzaS
-cfAyU5uUBej7uM23mY0EbZn3lPvJ+/09yl+bWtnogwVDRLdVFg6FGgRFdLLR
-2vDBgPN5ssD3q0RuxyAbnWSX/93jSN7nB1uuTg6x0bllwWCLA7JwqnH4e+Z7
-NvLWOzXary8LHZGiXd8n2WjU4qLPpg2yEOa6zbDkMxsVLMeE93PIguruQ4V2
-82zk0iG0AmMy8FrmlCDXEhvxGwS9X3giA///34F+3l2b9JQhA/8D1+XkPw==
+1:eJwt2Hk0Vd8XAPAXkkQiMiRThowZKsOXU5tECCmPqPDuU0QRGUNIhGSsDCUi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=
"]]},
{RGBColor[0, 0, 1], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2Hk0Ff8bB/AbFfkKSZJkK0u2tCniw0Moa5QlCqGQfcuW7HcK2SNrRIgQ
-ooQP2UIJ904iRdpQQkmLSr/pnN9f97zOvXNnPjPP834+Z8TsPU1Ps9BoNO4V
-NNq/T4JGBNf9IPENffv1jdUaEPze3PPsIonP8dQVSbVpgMdjSUeRLyS27n7X
-UcDQAPOrXYaXPpL4E2sFAy9ogKTiarGTYySOH13DkasE0GEb83BlB4n3sBpt
-/YwBVrRE8R1LJPG1xOyK3c81ISQ0vPKLBImPPLMUXlbVhnm/zgY7cRIHWYeP
-PDDVBkc3js4nwiSukyJZrjprg4F12mjZRhKnE1KPQ9K0QUi5lN1hDYnNNI08
-xT9pQ9PXfnvmDBP7P3SsXizQgd+uIhvv1DLxl5rBYhbBQ3DBCof5AxM/ntm+
-zKujD2+N/mwWRUyc9ClwkMVWH/S1VO/1qjAxr70L/6pAfRCQuz8vsoeJH73c
-tgnK9KH2T92pXkkmVvs6zH6V2wCm8iu0RDiZWOZw7Y7elwZwdDKHrWeIgdu8
-By+EXDQCab+QRCE3BlZvdJW/wGkCukNGf75kDeIH+5SUv640A/+rZ9i57w3g
-Wk606oGAFaQp/CrM6+7HUrPXNO/m2sKJmWrvsj992NxHTvqRugOsPXDlF9+B
-x/hyShiNKeAEa1kDWLrTe/H5unZktNkVZOMmtFb3d+Otm+rV2955Qka8Hstl
-iYf4wAfJWx12PjAj/Oq8T3QnDpaTFVv10Q/svJd3vmlpx6x1Qmk7BgNAXG2z
-Y86mNqzh3hSZlRsMLD2tA6+MW7GQ/7NJ/ppQSH8kscC2pRlzJ4x2fjweDp3f
-u9D4UAPO9IqbXKiPAMWioL+PD9fjz68+lkVtiYL9Wtvv6/+swdqVGz+NHYmG
-Ot0prtkPNXgwZeZgn1k07DIocUh6UYP9DnpvbLCKBjkzibVPW2pwrZq82CXH
-aBB1ErOzodfglbtfBXAERsOauE2rvdfXYH8l77rEvGh4zlhjmi5fjQUk6BeT
-pqNhqYNkPmivxCxO4vdfn4sB1owNLvEllXi1kKUne0gMcLqYL5vHVeJM7XU7
-ZMNiYMvaYekZ00o839Lb7kTEgIbZaCj/6wo8xJ6w1JQRA/R3E1KutAqsMJtp
-+/RuDKxbPRfCp1aOKy5OSdxajAHB4R3rxkXL8VDSmn0eP2NAvMyr+ObKckzz
-ZV0h/ycG9hh9GUCPy/DPw7Z1+SvpYJ6+KOFiXYYThEYs7dbTIUfyd39z0E28
-PpjXDCnSQVp3zTan+hJczyep5e1Ehy6aIPDnlODA3LsRCWfp4HBfxqYzogSn
-W7N2lrrTIU/e4OpWwxK8pj/JlPSlwwa+RM5Xb4qxzJv/LNjC6cAywbdoua4Y
-izDZfEcz6PAiWLRLz60IN4z5Be7opEPwnp1vfpoU4U8TRkPTD+mwcRZoN/cV
-YaHrr//m99LB9JSDChtrET5YuKdq1QAdenSLK9szC/Evn1jD0ud0qOeTy1B9
-eB0XSw+xmMzRIbFyn7OCeAGO++DySJKfAIWv8/uLVxXgJdteyTIBAp4ol60R
-ns7HvEcdardvJmBtp1D52tv5+Kn4esstogTEja6YnVHLx8nEqfSh7QRwrbs6
-aV6bh0duPBNNVCXAMIfjkk5wHjbZLZlDIgLipUJllCAPh3Ack+YHAjiQvfuG
-/lzMQ5q4XtYmYLWr3ALzQw62ZYg4GhgRsNzRunxEPBvbNS+d5rAlQO3I7nyN
-6SzMlXFmBc8pAs6P3gDF21nYN100YZ0DAUufY6O5URbe9POuL7sTAd+EzTie
-HM/Eo6m7lTs9CJgNnN6gn5yBjdaqLweGEjAuxyuvTUvDxT6Fk60ZBBwito39
-6U3FjQZFHdKZBNyeUEqsv5KKDYPdVl7OIiAy3fqzlGwqPh0jUKqXS4Ak7UYd
-h3kKttHysc+6ToAbcx8aKE/Cgu2G92NvEfBUXm/u4rkk/J/zRZ17FQSgiyfy
-AZLwcelf215XEiAczLLqTEUizmwMJ2WqCXA0vHJZljUBn3b4O5FYR8D8wv28
-+spYzNXMOVLSTEBb6ThN+mAsPvkrdF0WJiD15EqHzJFLeM7XMf5iCwFKDw2l
-zq+8hM/KN2tbPSAgNOtVFVgR+KjnilsDHQQYGa/irZ2jY0Or4JdFnQSIrpTx
-2xZDxzxpQ4f9uwjocPfdz3Y7BgdvCu/n6KaeD6x+8HhVNB7zbfBjf0TAi0WZ
-rSg7CptMOztgyhVlxjFVilF4xbH8GK/HBBzhyzycYh2J+wfWnOrpIyB9UpZh
-UR2Ob4Y8sTYcIMA558ieHp1wXPJXbe4tZZ/rH+T874VhV5m7LwMHCWjwD61T
-4bqAQz8KdF9hEKAjVNjV2RCMFcLYGwpJAmyesEw/mwrCJx7qV2x+SoB/uP1/
-HzYGYZvKyU1JlIveih3hOheA+dJ7LT2GCGhKj/ARvXEOiwo5bh+mTB6aSNtF
-+uM2g18e6BkBrBX5I+a7/PCU2IAZbZgAQVvab+dTvrjG7cyiNeVd6+yEQ5J8
-MK4qX32Hsr2/iMO1WS88P/M7+PgIAcFSYTHVW7wwrdXpRTFl8dpmYyLTAx9C
-6rfmKYeHqI70m7nikItLqUHPCaga/7Xla60LrvfWKrtHeUyr0V6A1xlPQrvs
-V8pcpcElql5ncHxE5Ua5UareOVVm7J44Yp9oFXc7ym5ePxVj5Byw8dlc2WTK
-OeQ9/5uxp7CeCJcpppzuPe+XPWiLE050jE9S/qrsufzm8gn8rPQHc+0LAkxZ
-Zgk5veOYdvytvCLl6l63df6rzXFG0oMZI8o8qR+zmttMsZPmI+6zlF/Uk4c4
-l43wfzvV0iMoZ+oyrHPPHcLhc0fDrlA2H+73UJgDXDVh0HuDsiQjizWsXwmz
-qp05V0NZY1L2qGbEVvyVfTyykbKiRUDUO28OlCPyfbaVsluPb6zgSUWkqTDX
-0Eb5S0mg4w9XNbRQx/7m3/eq7UjEVU0breKku/w7PmwXcD7v0Ef3rMoM/v3/
-xEDB+W2SJqixoCHu3/kj2bcujLocQw/qf0j8u75tGkUuqRUWaJ1OheC/6+8K
-kHil99kKbWJucXGh7FRVbM6y1wbRGpJ5/q0/eiH1/YkmO7RH1oRnB2WzRLJg
-v409+rP3hhPnv/XJbjjJR3NEXC3PNryn7u+3LjOB+YLTaDN9t2AT5avLQwkl
-75zREd508ZOUXbI26kURZ9GXXCUJacoqSparbLe7oZuLu0PmqOc96j4Swu/u
-idK5I4V9KQ+tvLw5iPBCa8J8z+6gjE3lf56x9EaK/KxsU1Q9Jc6639Fc8kFZ
-pbo7jCgHqnKlKD7yRYp6RQ2/qPq0i630FM7xQzEn+1JvUFaUnJNZUjuHrj1n
-K5ml6p1x0qugOiII8Zu0FJhT/VCu/3jiuGMw+ppRd3CM6p9oZWlxFt0QlObD
-bDtFed+GV9dNOUORanii0Qmq/4zeSzGC9MPRteTYdBGqP1Vemn3pawpHRob7
-VtGp/pUio3jFFSIQF+OA/hTV37S2cdNenkiUlxVknd9PQE1uBlNwKAo93aId
-PkblRV5a54KHbjT6cEAidyvluLiF9e33opGl+dPLjlS+OAYZH3PNjkHOe79P
-jfQQsNGM7WmjHYFScHNwCpVX5zkDhk58jEWhgX9rVaj8c2a98e32iTik2Uq+
-VKXy0WyJwb/qSRwqbdJ5qkLlp8KUgkXF7Xhk1pcjK9NI1U/7+2d//BMQj2qG
-21A9AYVq5W7GtGRUOTny3ZHKa0HltvM/9yejVB4lciuV50l7RuILvZORn8i5
-iLEy6vyybBXfXyejO/5CHrqlVD9scvh0rTMFfV90y5qk5gH7oqDHfGwako83
-TztFzZdjYikegy1p6HCUgtaPKwQUGK7xrPmahnYvHLeOS6PuZ/F3Tz+bK2h6
-L2dPcTLVHxak94+d6SjiU21hTRwBAw2X/WkjGYiF/3yJcBhVbxdooTxS2Ujs
-hVK+HjX/3pYFhH62zkZrTbX2eFLzceez2VBGUjZq2qaFkqj52bvj5YW0pWx0
-9uVU3UNrAn6/aggXeJKDDhslanAeo+pHyzda1D8Pbd0hYjSrRQDfygXtqxP5
-qJJsuSMnRsB+LjqvxnI+ivyMV9QKE3BSYNP4pGAB2l9jar9XiIBiOfXAfccK
-0DvZcVuFjVT9mMWVDXUVoACZE5afOQmwKt7KveHWdbRZSaCg8Tsd8g8dG04+
-V4SG9c+NOVL7lw7TySLl1CK0YZ16uAe1v5k+Eew9UVWErq39fdCvgw67vPM5
-dk4XoVPNdm5+mA7tmTOqA9Y3ULam1/ShGjq8/xBdwAXFqMcfNWtl0kH2ct3Z
-uP9KUf2FYX/CkQ4aT2L0K6RK0a7BU87yp6j9Hbe5XL9WKXL2n/ncf5IOkcnf
-PvGeL0V6SxN9HBZ0eH5ln3fWTCn6PB7VYXGYDhfzGgJu9t1EB2pFLxnL0+Ft
-VXP0w8RypGr7qLzlSwzkMTrzWPmqEE42OSrhFwPumzzmbg3WoBXAYbHsHA1G
-PU5ZYFePhPYplN0SjYIUuqO+dk0DuhhweMaDEQErxdmj4xaa0I/TviqZgeGQ
-K9xX+FKtFYl7FItkfgyFDzUZ7BVvHqCWbJpqM18ICBAjuz7fakffFyqs33EE
-wo8JoVczFp1IlL3r42l9f5gr3z14aakLRfmoTN1q8IHuugdEdms3Wv9r4hPX
-Fi8w1TF54Ojci5SqG3e8v+8KmN+y9frux0ikJfPsXiMnAPNdrJHf+tDMjwu6
-Zh4OcE6Iq0cgux91eQzLjKnagU6yokxK9QCyDIMrR72toOyZVbUvfRDlOgly
-sWSbQdZTj+cSFgxUrno0YHuCCfDy5cVXWTFQMWM5juWCCVwy7UPKNgyEFyYt
-J91NILBfttDgNAPt2P+enTQ0AfOeKVdfXwbS4U5QV+aijm+2/9OayEAavC++
-KiQfgdgic9ET3Qz0zPY13VDdGIJ90ZkUZSa6OpvpY9OoD3/v+BLjqkwk12o7
-6HxdH6K/lZbKaTDRniMP7WIu6UNC0PqPXTpMdPGX8uxXC30oCJvy/HWUiRyf
-KvfdWtSD7riUIEcPJnLW2f8pYI8e8Be9j1cqZKIJdZth9ZZDUEsm1D7nJFHc
-O0HLu2w6YF9XJhzLQ6L3Dsn7Cue1gTe965IyH4lc1+uuLRzRBi+LZdurm6nf
-LwW4jpVrg8Jzd05zGRJtMZws1DTRhtJxg9ODuiTSDNO8UH/tIOR+4NjYHUki
-uduqbd/0tMDgkWRkAJ1EGp4P2fSUtOB3ueYnyVgSef/e1FYlpgVW7sHtMckk
-GntVcbrmhyYIzE97auWTqP98/pbUEk1IWezuxs0kGnBhZbvHrgkw9Ha3xwMS
-aftGrpdfBJivp13b0kmiL4+4R2onAIwD9/uff0win+wlu2/3ATh/lYipjJJo
-anuEqJEHQNNoe/z0GImo0Ks2tgZwbRr/fvU1iaqnRfPtDwH0hm588n2aRJIs
-8e5N4gBBNruVSz5R6/e02cvKAyCtblxk/plEXL4bFKz/aMCwiCv36kUS8Vwh
-9Ts+aMD/32+gZ+kdkWhYA/4Hn94+Yg==
+1:eJwt2Hk0Fv37B3ChohCSpSxRpEhSDyk+jyuh3LJlKftWkX2PCLnve0KyRpZk
+J0J4KOHTYkkSck+yVEgLkpIQlX7zPef315zXH3PmzMz1fs91RtrJ2/Q0Oxsb
+24ZVbGz/OxJsRGjdTxLrN66Ka6zWgtCPFt7n5kmsI9rDLf9YC7y65FykvpO4
+jCdSNL9PCyyutx+P+Uzit4cm1zyY0wI55TXStm9J7D4sKHhDFaDVnvGEs5XE
+d8/xo1kMsOpBtJBZAom129Wj/xk6DBfCIyu/y5J4wjtKWEpTB74FtDU4yJBY
+tTHZ5r2pDrh4rGvrliSxw1jDxiZXHTCwTh0uEyHx7VaVv/mpOiCuXsrlzE3i
+N3srvhl90YGmHz1OrGkWXj8hHrAnXxd+u0uJ/FfLwkZxYduNNh+Fi1Y4IhBY
+OGf0cbSbLg3eG/7ZshWxsMbws72n7GlA09a413mQhYfvPNS3Pk8DUcX736T2
+s7CZqu5YWhkNav/UOXbKsXB05ErW9AYDmMit0JbiYWGtiDm5zW8N4MSn7LVP
++/vw+Kxzf9NlQ5APuJAg7tGHV8kfqkngMQG9fsM/3zNf4AJBtRNiq80h8PoZ
+rg33ejFn/r11qmJWkKr0qyCnowfXePGEv75hDzbT1b5lf55jrpR9IR/+dQbe
+Q9d+CR3qwpU6BYc0xM4CL0cwe0daJ+beJPnPyS3uoBA3pr2mpwNP/n72fPiD
+N6Rf0WePl32CmXpsM6sd/WBacjTMj96GG8KEOVZ9DgAH35W94w9a8GhlcIzM
+i2CQ0dziki32GLdfP1k5dCMU2J8+7B01eoib2g6dmq0Oh7RnsnNrJZqx6633
+jR2nIqFtsR2N9Dfg4Nr9sjP1UaBcGPK361g93ktHIi4S0XBAe+d92lIN1r5+
+Va7emA51ehN8M1M12Dh9blOhOR1UDEqcE1/X4EnWhbAEKzoomsvyvnxQg10l
+BwvtXOiw9ay0gx2zBquM/d3yNpgO3HFia3w31uDKf1Z52efQYaiP2zRtdzWe
+tl2/cGqSDsutJOtRSyU25h9MyA9iAEf6JrcrJZUY8TEFnoQygMfNYsUirhJv
+5I5KmrjIAAneAflp00ocParJkCEYoGU+HC78rgIbvFzi9ktnAPPD2A53tgqs
+fdjhV/hdBgis+XpBSLMcO2YMKWvOM2DzwB6Bka3luMR4u8DKTwbIlPkU3+Is
+x6NmRXcbfzNgv+H3XtRVhguLvY13czLBIm1e1s26DM8uqkZNCjIhW+53T3PI
+Lcwpxu/UuocJ8nrc28/Wl+CBrCWzn2eY0M62GYSzS7CHfUjYpnNMcL6/y64t
+qgTnnUsv3uPJhJzdBte3HS/BjQvWf6z8mbBJKIFndLwYf7jxLiE+ggnsY0Lz
+JwWKMXemn7RjOhNeh25t1/coxPKvif57rUwI3b93fMmkEHdY1z/xf8IEkRlg
+u6VWiFmtX5MUOplg6uh8cC1HIda3Cryd1MOEp3rFlS0ZBdicGdOvNsSEeiHF
+dI0n+fj+7+KPUzNMSKhUc1WSycP+fIsnxjcRoPTj24Hi1Xk4+cAym5soAd3q
+ZdySk7l4TS7/s6nNBPC2iZfz3snFmlln77yTIiBueNXMtGYudpS7dK1gJwF8
+Atc/WdTm4Kjd7qGuGgQcz14Xoxuag7tSc49UIQKu7AjfpQo5eE5TQOi7FgHr
+kJPnpp4bWPv+8yZ3HQLWuCvOsaayMS2Ai3ePIQErrQ9XjGWysOfRBz/n7AjQ
+NN6XqzWZibnmKxWXHQgIGy4C5TuZWD+aT/u3EwHLs7H0DSgTv+WIFvpxhoAF
+SfN13acysJbm0QM1XgTMnJ/cREtKxxLmMotnwwkYURTcrcOWig27WhTq0gk4
+Smx/+6czBR8VyxKQyCDgzphqQv21FDxa12IclUnApTTr2R0KKfjmlN0gukGA
+HFtR3TqLZDybrMd1NZ8AD5Ya6i1PxBqFnPSw2wS83K3/9XJQIo5q7uq+VUEA
+umyTC5CIf5N5HqxKAiRD2VefqUjAtb/+3txSTYDL8WvxChxXcbt++nBEHQHf
+5u7n1FfG4tplu1PpzQQ8Lh1hkz8SixsMdMpjMAEptpzOGYMxWDuxV//8AwJU
+nxzfEcYZg1ukM331HxEQnjlaBVYEbrQlzB+3EmBotFqw9isTT0lI8KS3EbCV
+c1fAdgYTE80LvK7tBLR6+h9Ye4eB/S6bf195Qr0fWPOoazUdTzsIqLI9I+D1
+/K5tKCsab5fi//cu5YoyI0aVcjRmyO9MOtdFgLFQxrFk60v4NatoQ/tzAtI+
+KfRZVkfif4689jLuJcA123j/U91IPPKnoWGSsl/+lGLgvQjM5H9Ii3hBQENg
+eN1Bvov4AcvmyM0+AnTFC9rbGkLxnfLKqBqSALtu9slXEyFYJvRPlsJLAgIj
+ndZPiYRgl76hrXmUC99LG/MFBeO9ZpFuUf0ENKVF+W0tCsIe4lOK05TJo2Op
+KmQgniuXtTrxigCOitxBC5UAbA12s8IDBGy2Z/vt6uiPX9pwWPtTVhFwkLyQ
+6Ie/n+vc3UXZKVDK+eaMD1bzEeHzHyQgdEcEo1rCB/+Yp215RFmmttmIyPDC
+eXF/E9cPERB5QWOwx9wd100fq7tGuWrkl8SPWjfc+Oia80vKb7UbnUQFXTH/
+/c4QgWEqP6WhJRo+Z3CEY9viMcqaPAenHbpdcORG5zcXKXv4LCkzFJ2xya+o
+XXcoZ5P3Am/FOuI1QqtG3lBO8/0WkPXCHqfLP1xe+5qAH+reK+PxNniWdTNc
+ibIp+wyhqH8Kc0VFnTWhXN3pIRC4xgJ/PKd3z4cyf8rnzObHprg5m/S+Qvl1
+PXmUZ8UQL87yXC2knKHXZ30j6CgG4ZeCDZQtBnq8lL4CLmYIrjylLNeXyRHR
+o4ozr5QbvaKs9UnhxOGobZjrKLF2jLKyZXD0B9916HRRvOwnyh5P/WM32yqj
+FqeSW5OUv5ecd/npromG+XDKBGWNFiTlrqmD5LibxscpR6gAz1ArDX2MupIx
+THmsNy9su5wJUg/dUtdD+RLXtrlhNzOk1Gqu+pDydq1Ct5QKS9TNvlOignJ7
+sOyo/qwV2lcW7ZZG+WxVsQX7P3Yo+a/ZljDK9LmUjzZNDshILF7FjrJ5Apl3
+wM4JCY6IV2n87/4UNtkKsbmgXu6FRBHKC+3mot/yTqOxbesHZqjnf32l/2rJ
+B1eUcubutWTKbpki+tHEOWTdqMZjT/mg6snV9js90Ihl+6cdlIc9By8Ie3qj
+/MeTzyupeejnjN8SQvigXH2vAQ/K2HT30pmTvmgpflRvB+WEGc//Di/7IeMH
+QeZJ1Lyd1+BLVn7mj+4tJM5pUXaIrfSWzA5APmGMhWlqXpXlvu5a1gxCqbxz
+uw5S7rP1yauOCkGejLbjt6g8lNO6xk65hKLREycLVCjT1eVl2PUuoF/04Pt3
+qTypbRrNN+UJR/e/zinWUfkz/LijL4QWiXb6qCeEUfk8+Mb8+/OmSFQTsqZo
+nMrvDjJaUEYpCr3xDfTSpcz2eMS0k/8SWnvOQupvDwE1N9JZm/uj0SqG8gZN
+qh9yUtvmvPToyF5YYCCK6o+4uLmNLffo6L3nZ6vHVL+4hBiZuWcxkGR9d5Jq
+JwEi5mtfNjoQqHW95fBnqq/CeIL7bT7HotBKg4xYqv9cOYoW7tjEoUzpptNx
+VD+aL/cJr+6OQ7eGypYIqj+VJpQsK+5cQcyX8RcCGqn5afn46k/gVcQRZMO2
+5S4BBZrlHkZsSahtQHUwh+rrzeqPw5YOJKHb6k0xNlSfJ+4fvFLgm4T8FW34
+hcup6yusrVh8l4RWP7pbEFZK5UHM+cvNtmSUKnb7j0gBAVzzm72+xaaiwYUz
+Jy9T3xcz6WSvFw9S0acNq+ck0gjIO87tXfMjFd2QXlquSqWeZ/Gid4DdNSTv
+rmTxNInKhyXp+3NvGqrUX2vyIo6A3ob4QLbBdLTc8khILYKat4ts4fw7spBu
+Z8hbe2cC3pcFh89aZ6GQ0txOuiMBe1/NhPclZqE6zol/i+0J6Nzz5mLqchZy
+E41++taagN+jDZGi3dmoSPuBn5wZNT/a/vStgTlo70/DGf4jBAhxzulcH8tF
+i0cWVU9JE3CAjymotZKLbJcy/45IEmArKjbyaXMeiqflDjmJE1Cs+O95NbM8
+VNH2pctGhJof87iy/vY8tFUhs12alwCr4m0bNt3ORw8G/PbOLjIh96jZQFJQ
+IYpwHVCqovaXVtNPheophSjzXULPfWq/mbQJ9R2rKkTj2hYVj6n9R8U3d93e
+yUJUx5X3vy0ZWjKmNXqti1CrrYd4QQ0TPk7R8/igGAlbDZwrymCCQnzdubj1
+pejKvL/SqAsTtLoZtIodpaix7fAI3ZHa7zZYKPZol6KoE7JicnZMuJS08EUw
+rBSNF6co21kyYeiamm/mdCmSUP1nZ9ExJlzOaQi+9fwWKt9zRDxxNxPeVzXT
+nySUo9kfEUsT3xmQ09eWwyFUhbaRPy9LBTDAU8zr6+0XNajH6uJ2KTc6GD49
+mwkO9UjnVdDOPdLRkMx0oenUNKD27Ym87X1RwCnDRY+ba0IJtsy9oiGRcEPy
+ecEbzYfo1PTGvI7pcJiqSeeqGH+EZP6DdNqmCyBKDKrM3m5BHquGogTXn4ef
+Y+Kj05ZtaDwsu9mRFghfy/e9iFluR/6jYeebGvygo+4RkfWwAxkVC7W7SviA
+qa7JIxfXTmRzYVtrTKM7YOGTD/P3dSGnwp89JYZnASxUOC4tPEeSVgqLK17O
+ECTO91Q0qwdl/njD+0DDAXSTlHclV/ciz7hxvY/eVlD2yqran/kCpbUU6XRl
+mEPmS68hWcs+dKJ7IEEu3gQEhXKuVFn1oeqEmvOrwk0gxvQ5UrfrQ8t3UvdM
+eJjA+R6FAoPTfSif/PJtwMAELJ5OuPv796GZdcR2PV7q/GanPw8T+tCf2f4z
+JonGEFtosdWmow9tiBJmTmsaQag/OpOszkKR7Gp+6fdp8Pc/f2JEg4UuT62q
+LcqjAX2htFRRi4W2pR4Wb79Mg6shGz+367LQsbtCOpqWNMiLmPD+dYKFsmve
+LnPM60NHXHKIixcL0YZ3nvi8Tx+ECz9eUS1goUMOjpPv8VGoJa/WDvGQaNqT
+lZC/Vhec6sokY/lJZKWSVp/4TQcE09pj1IVINGFb+z15UAd8LFfsr28hURYt
+KIBVrgNKQ548FrtIxMEaldY20YHSEYPTL/RIFP5y1PLFzSNwY2qdSMclEt0f
+UdtmQNMGg2dyl4KZJJLXYawtUNWG3+WHv8jFkuj0dudTPDLaYOUZ2sJIItGT
+PUxB4aXDIPpt0ls7l0Rqr9oCOEsPQ/J8RwduJpGp9rNR4D4M0P9+n9cjEtnI
+xpQ2zAN8q2e7KdFGourrcRu13wEYnT8QGNZFIsN3xXmxjQA8v0qkDw6TaL9X
+ovZnL4Cm4ZYrk29J5B+X2zljDeDeNLJ4/R2JujXlkzmOAXSGi3QvTpKIvbCi
+2mEbQIjdPvWSLySqPHN4tpQfQP5fo0KLWRLpDoRpsa9owYCU+4Y18yRy/qCW
+4vFZC/7//wbqvWn25tOAFvwfwE5dPw==
"]]},
{RGBColor[1, 0, 0], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2Hk0Vt3bB3BpIBlK5soYUojIUNm5eIrMQ26eDOk+p0whmUVJZMycKYnI
-mDkexI5EKPOdSCUNplQipKLfedd6/zrrs9bZ66x1zr6+17WPGN3d7CwzExPT
-9nVMTP93DWcKD6j5ycBkMG/d+jQhCJiguTsvMnBgy/xznyohcHsuRYrMM3CX
-bC4HU7cQ0NLaDSM/M/Cs+fIJC+YdIKWwScz2LQPvLZtTYnfbAU9Ohz3d8ISB
-eXZwbak7sRPWPbrGczKOgd9MWnI6cwvDpaDgsnlJBpaNWbCVXBKFOa+2entx
-an2rVEA9ixiQ59naeoQZuDWbq9ZGUAwMrJNHi/kZ+Fp6VWXfETHYqV7ISmxm
-YHuWsnr3UDFo/NFLH5wdxBrEMbFEPnH44yLC/6B6ECuCQWTRcQm4fApf8YZB
-7HzGIktpWBI+Gq3uEEWDuCPQLd9pVhL0tY/UdR0axK+Oa34pY5ICAdmGORHl
-Qfx5qZ3mICMF1as1Z7qkBrF0i5pL/CUpmMou1RZhH8QFa3yyneLSYD6ZydI5
-NIBlBHef3Ry0B/Z4XYrbeX4A8wUoiLjR94HOkNHqfEY/TnvGqHo/qwDeaedY
-uer6sP29GC+e7QchWf53blZHL37SajkUla4ONrOVHsWr3XjNbPsXNe2jwHH4
-5m+ew8+xSnX9M7VeLeBY78vckdKFy8+41HOIH4d90ePam3o78JhK02KhsB6k
-xugx35B8il9IHSxqkjOCWeF3gRdD2/BDlc4ofTVTsPdYU/zwqBW/pf2TElpk
-DuIaO8hMwcdYa/nEx1csNGDubO57Z9yM++zfKMXlW0HKM8kFll1NmG8plsar
-bg1ty+1obKgeZyroVK4k2IJCnv/f5ydqscbrkYONf0+DmrZMg/5KFXaxaKku
-Yj8Dv54wBltay/DoXkHWnK10WJ/K6xRTUIaLPy4lmfHQgd2JtkaLLsNPlOdq
-1gnQYRfH8J5ZszL8wsGk2kqEDpoWo0F870txklCExbQcHa5/Gpd2YSrFtHLV
-40l6dNi26dslHo0SHCnUZPbrKh2EhvdvGxMtwRJsVhanwuggXnwhv2hDCTZV
-lir4L4IOykbzfeh5MX6+N3q/cxwdaCmLkk7WxXhCvftmWSYdMqX+9Db5F+EV
-6dJnVbV02KOzebdDbQGOaO23vTdFh3YmIeDLLMAnJx8t+H2mA9Gw167tagEu
-9pvk0ftKhyw5gzQJwwJstdF//uMCHXh54tjffcjHfxt7v/xZowPzOM+i1bZ8
-HJwaeuUBDwGvA0Tb9c7n4a4x0zkVRECAsuKHFdM8PDIa/7JOkwD+r8BUpJqH
-97Hp8atpE2B2hjjEsj4P872aSpfXJaBTJ7+sNT0Xq3vvCv5tSkAtj2zqkad3
-MSH/2HP7WQLiylQd5cVzsNN/OsxKkQTI/5hTy9+YgyMKDpnGRBPQo168WXg6
-GytkjLu9v0EAR9vOEo6KbOyXqMwVlkhA9Oi6r7Ma2fhAuFtV7i0COLelTdKq
-s/DhP6Ir/5QSsPakec1E/BZW7DhhuaWHAA0TpWzN6QxscYFV8HcvAYGj90Ch
-IgNvuv3NY7KfgF/fo0K5UAZulLr4vuYFAUvCFmw9/6bj5E1scTJvCPjqN82r
-n5CKVfXms5w/EzAmyy13jCkZPy4/p2y4kQTd8N1vV7uSsLXiSsSDTSRUjKvE
-1d5Mwq2PpoYFWEkISbH+Lr0vCestx5wbZiNBiuleDRstES9Bt5DSVhLOD6qi
-vpJ4bPjviZ8WQiS8kNP7FuETj7ubTUNidpCAImyyAeLxrpWapUc7SRAOYN54
-rjQOaxIOGbtESCANb97Ytz4W/5ftWFEtQcLcQkNWbVkUHrIfVtCTJeFx4RjT
-nn+iMFPRykcjORKSbDcQ6SORuE1AwNNEngSVp4bSgRsisdykvqCeAglBGe/K
-4VQ4Lr1Q6cGvTIKR8Ubu6m/XsafPyAjzQRJEN+z12h12HQ8d5eL5TPmJq6ca
-S0UYVveq/1WpSgIbbGp5vjEUH2t44i14mITXi3sl0K1r+PYZbvPPlEuLjcPK
-Fa7hjtziX/VHSDDhST+RaB2ChTon8gwRCSmT+wYsK4Px93NY3whIOL4zt72t
-PgDH2tbk1B0nwa6HefrllD/W/dDTdVKHBO9g+pYZfn9cRArOf6Gc91HMhNPH
-Fx/dbqPGf4KE9aXZI7QDXliHxzfumD4JQqeZ/jie8cT6P+dvdlI+sM1e+FL8
-Rfx33USyngEJdG8R4s7XC3ht2t5f25CE4EtHRnotXDDhIdS51ZiE8rHfu35U
-O+EO64dXAim/1X5IF+B2xJI62jKfKGuwH5q17yGxbraBWakJ9X0vrCiEyRJY
-eMWjj92UhExGnXdR1Bm8LNOOnCj/UHdf+3DDBvfo600LmJFgxvw1XFbvX1wY
-IbH7POXKrvPbvDfR8G6VywaNlF/XMnTZ14zwyblthLk5Cek6A9a3fXTx7/9W
-jDMo04Z73eS/AeZyaJZ+S1lzcp+51lUJXB9gfNPmJAkKlr7XPnmwoWr+5zKp
-lM93ekYJ2SqgVo74/B7K8wV+5E8XDTSttMy23oKEI61IxEXjGNqy3Y6mTPnK
-AWB/9UQf+U+IRdApj/flBO6WMkVGmdl3blDerZnnlFRqiWKmTgS9otzuK/lO
-7/sp5PhGSesPZYfyfBrzQTt05aLljBCNhNCFpAmbRns0KsTnrULZIo6Ro2ZH
-R7x/+8eNKEvt47XlYSJR2+qX/STlpXYLgbmcs2ixpNvOh/JTesrgM20HlGzx
-wjWMctraUGzBJ0c0v+pkk0DZKYNf71q4M5Kz/y6TQfmQitXG0zLnUcG3/hd3
-KLMNpDUfeuaKrgxfPH2X8qjryCU+V3f05+/h9hzKQxtu7PAPv4A4N6ZszqKM
-zeRWzll5oEbNmT2plPOzu4dOylxEye13JW5Qjvvq+kDr10Ukf3bvyhXKfkc4
-ExWeeaLk/NlCd8r2UWXuwpleSLmuQMmGsu6wkSG7qzeiyWdXHKOsIPVt7y8N
-H1QhcHiPLGUBrzjWKU5fVPeKI4OL8rrH+ydejPminLCyjXPU+5zh6mttrfBD
-WcPVzt2UB2wv5FRe9UfHoKajgHKJ/vPxf8kAtPHcyYhLlEPV94gz61xCA4ov
-a/Up20mH0otlAtHP0QZzAcqqvO/umrEHod1xQXbj1H7Yuv7Ih19fg9CMU9ZQ
-PuWZuVSJ3P7L6NCV2w8dKRtNSA/46wcjHrfDXePUfjv0xmK+uzEYDaiOzadR
-lmZc4xaXv4qCd7lcN6DM9HjMrGtrCHr5wHi2kNrPVbdTB4WGriGLpG35KlQ9
-ZCW3LbjphKK5vw8E+qn6iY5e2N5aF4p0q0PmHSiT/sYnXW6FIa+YvpEoqt74
-LVhePLQPR0c9hpzvUfW6weDgItdAOOLNO8smQXlOi+AltSNQx+87HLep+u5S
-eGTBLhWJDtk6aVyn6j+Q3XfI5nMU+l3drSJH5YXj+ntLFTbRyPuT3NQNXWo/
-/hrg29gTjaaerazMUPkiPyVvWVoRg36J6GpkUHk03jrxctU7FmUliqh1a5PQ
-08Dz03QyFuVuVn2/lXJDpZZAvlUcivd9OG2iRT3f2Fi2YFc8unHsDle7Jgm5
-GiXnjZkSkEyTQGmoBpVP6o8DV9QSkOPAkFoJlY/xyiMxuR4JaPG4i3wPlZ+B
-+1hKl98nIGG+5tjNh6h6FyS+3GlLRNkRTRI0FRJYF4Xc5qKS0VA4T+ZxKt9P
-iiW69T9KRj7VRzV1qPzPMdzsXvUjGUVaLDD+ofrDofxldy+7m0gihrVPZS+V
-B5YMj5+KKSgkLpdjSZKEvvob3kwjqShav7NsnOo/Oyc2+IxzpCFzB8fTlVR/
-cuIO9HmslYZa5VXXXab6F7OLs2/o/TSUb1wgwClAgvJOHX/W4HTEqspI27yd
-qs/LTEFbpW8hJa4Pc65Uf/xY7Bv03foWauiba2JnIUHx5deggfhbSCAnMaiQ
-6q9d+99cTv5F3Z+38cUQMwl/3tUHC/RkovvVK5OcqwTYa3uGinpnob/CNOuv
-cwTwbFg4ljaejereRhGXhghQ47zOrbmWjZ5ay7XfZBBgKyA4NimUgyJ+mD26
-P0BAvuxRP9WTOchWud+nj5oXVC2ii4fac5Arp+emb+0EnMqX4OK9fxdFqSqy
-RdYSkK17cjjBJw/xK2R8VEoi4InZZJ56Uh4SvPJ4eTyegGmbAI/x8jxkJRpd
-ERNLwAGPbDbF6Ty0eNBecZiad1rTZ4/0Wd9D9a3aLrrBBEzMhOZwQj6aWI3P
-jj1PwL4bNc7RWwpRixf/8H9aBGj2hOmXShcia7YhC3Zq/qJx0WR7tQuR7c7F
-blsNAkISlr5wBxYibF5WsaxKwKubqh4Zs4WoOrfYkkWOgIiset+i7iJ0tXn/
-5xQ+Aj6WN4U+jStBDVVLTMGT1Hw40Ja1nqccXeUNHF8OpoOIbPuypnw5iu1s
-1O0PokN2WLvJZd1yNKXraF8YQIe7ak+ZVwLLkSUtKc/Yiw73sjrOff1UjnJF
-bNNDHKj5teZs6qx1BeI8aP03wJAOdlcdT7+Uq0T0HAOTNn46uAq6fbvfX4Xe
-9vid3Z1/Bow6HTLAvha1zG/Slk+xh8TrpP6xqnrUYORUYLFqBxvEWUOjFxrR
-vL/h6+paG7gt3J37RqMZ9XhUMW2RPgUzVamspR9a0KO9rw8bPrQEgfCRA9/v
-tyIXfWGLHlEL+Dm+892sZRtiPqgizdFqBt9KlPojf7Uj9QnxXNMoE+ioaQm/
-1dyBGpO2+D2INgCz46YtpGMXMo/q4dTI1gXMZ9V8V+k5ittxSnJLyz8AtAPr
-Q5a60UH2JpW5fwF8dnJ2CtzqRTqFg4vvuTXgeILC3sTKPmSleBCzNKlC8ctT
-lZ7X+9EfQaMGqYtKkPHC7ZWk5QBa6Jl/pFW2H7h5smLKTw2g4k3bWL0T9kOk
-WTdStxtAu1Y3v3rotR/8evflGpwdQA6F9/5cP7wfaJ1TLp6eA0gN9xPcXfLA
-3URfbY4bQA3ROV+XZuQgKo8matMxgF74ndZqPiwLAZ7oXKL6IPpR+qPpPL8M
-/H3gGT52ZBAlsRaPCKyTgdClwkJZzUFU3sP5gzGzB2L9t39uPz6I/giFsgTh
-PZBzZcr9t/kg+vYuczT63B7oiE70J90G0Vals72366WBL28iRiV3EN0zCY23
-d6HOp4zY6lfsDPSI/s257bcE0GuKhaO2MtClRdZPXJMSwJ3SHqnOw0DVNg9W
-XQYk4ILl2um0HQyk2WQ/blUkAfKvXNlpexmoj+Qw3WAlAYVjBmf7dRhITKJY
-J71OHG7PsPF3hDAQt3NVh/d16jz+TCrE9zoDjUcZpb3zFIM/JVpfpKIYaMXJ
-ucX6jBiccg1oDUtgoC1ivMsh1HldYG7aXTubgdpP3+1PWhCFxMWODtzEQEOs
-lqdqSVGAoY9Kbi0MdDK5aEXMXBTmapnu7Gqj1hOvjW+DKBj7qXkHPmcgM/kH
-Px8LiwL77wKxQ6MMlDFtopNYLQKNo60x028ZSDWz5TE9QQRcGseW094zkP76
-dexm7iLQFcTfszzNQBy57vUx+0TA305JveALA82IsC++3CwCe44a59G+M5Cy
-l2QZTAnDsIgL16ZFBvr36YW+znZh+P//I6iUVqJz4Z4w/A/bixFC
+1:eJwt2Hk4Vd3bB/ATkjxIMiUZM2RKGgyxHjeVyiyOQtI5u8xknksiU8YiRSJC
+ZKyUyhIyPpnOOZQmIWOmEprUu3/X9f61r89f+9prrft732tL07ytTrNRKBS+
+NRTK/56xlNjQh99Z2Bsl716bJQah41RvtyUWLmo/whVcIwZeL+UJya8sXLHn
+F+eaLjGgZrWaxn9mYcMmlXobti0gr84pfeIDC2uUN2X847UFXpyMaeN4wcIZ
+vxiWDw+Lw5qGi4LWKSw8zPuU/bSABIRFRFZ8lWPhO06XhXSXpWDBv6XOSYaF
+JwwSkvrWSQPhwd3SLcHCSyerFAI3S4OJ/dW3pSIsbP2ZMj6jKw3i2iVc9PUs
+XL5vTXRatDQ8+9ZDY84wsTKvhkiDsAz8dpcUeXCfiRWeiWdPH5SFc3b4fAAw
+8eTtVvWo13LwyWx1ixRi4uYntzofzciBsaHu404dJt55e+fV3xR5EFV5siC5
+m4lPjm3vv79dHu6vPjzVKc/Eq6dcxgbD5GEyr9xQkoeJ/+qz/eaWVYCjEznr
+OgYY2P6kjZZmhCIo+oeliHsw8IBOy0UvmjIYDZitfr3Rh8fPx4vxz6pDQNYZ
+rg2Pe7GlScWC26Y9cFXtV0Fuew+eTxP3q7+uDQ4z1T6lq124zHqfUr7hv8C7
+L+OX4L6XeMtCyfKdHgPgZQ9ia8/sxJ0xQWcOyhwE5cRhQ86ednzHU936q8QR
+uHb5CFuSXBvOvH28w0vNDGYkPob7Rrdgz94YG08tS3Dy+bNztKEZb9lsSr9z
+9yjI6G0hcjY34c2Z2x8jLiqwdTzv/Wj+HG8L3f34VtExyPxPbnHd1no8rJxQ
+sF7bHlpWWtHQQB0WZst24Uk/AeqFIX9fHq7FEfH2zPN/T4KW4fYnxj9qcNfZ
+TpFInlPw8wWL2dhcgX1S6tW9+WnAfk3I9XJxBdbcl/tXUpAGPK7UP9TEClx3
+f5tdtwgNtvK+VpyxqsCZ356VyUrSQN/mbYTwSDm+3kZcrVKlwaWxYQV3SjmO
+TJEQsTpCg42c82GCemU4O0qWWXKBBopG67c51xbjZ6b1PGaTNGiliIFwTjH2
+WFSIkP5MA/oTJceWC8WYly/a/+ssDXJVTbJkTYtx1LT24uVFGggJpvB8HC3C
+iupMvsI/NGAbFlw6trEIizo2Vh8XpMO7UKnWIx6FuHp6m/UbPTqE7t45+sOy
+EH+OsrNy0KeDyBxQ7moW4q6u9Oq3BnSwOkXXWcdeiCV3uCUzjOjQYVRU0Xy9
+AH8QIPLzLOlQK6hyTbftNu7SjlSuJ+iQUqHpoiaTj0Uh5eN8HB3Uvi1oFa3N
+x64/dUOOJNKhW7t0vcRUHu4yTWLkJ9GBt0W8jLcqD28rDm88mE6HxLdr5mb0
+8rAYkeTqmk0Hvo1ZE9T7uZhy6sI9/nI6/Hnx/I+FTDZeWXil876LDnoWu/L0
+p27glClnqa4eOoS/vQPqVTdw7ntmRl0fHX5+SYjegG7g5YnzqnH9dFiWsOHu
+Pn4dx4+Jr/56R4e54Ckh47RreJcib5zeZzoMqQioHqBcxb5lXAzZtQQcit32
+YbXzCnbTYKxL5CSganhvSm3GFfxiqEFlfh0BUZn2XxSUr2ATTyWDCm4C5Cl3
+HnJT0/EZDdvkdfwEeDA1UW9ZKq5d0DaSFyOgX/XIfFxgKpb40qPlsIUAFOeQ
+B5CKFR2dBVLECZAIZVt7pjwFtz2aDvssQQBhmpGkzJ6Mqyg3xc/LErCw+CS3
+tiIBH+Ud0N6oQkBTyRBFcX8ClhkmQoVUCbhygoN+fTAeW26NzxFWI2Bvm6lC
+OEc8nl7cEL1BnYCIGx8rwS4W346p6X+7iwAz87UC9+cvYepqlGjbbgKkOJT8
+t8Vcwu6zK9qVewh44emnta4qBhuEEyKBmgRwA2fjy7XRWKU/RuODDgHvlpRk
+UfZFHHG+xqlqHwHlpeYxleoXsRZ3o9t5XQIsBK8fTrePwmcM1TcKIgIyJ5QZ
+ttWRGOdr5ooAAQfFC1pb6kKxBp+Vb+xBAhy72aZeTYbg8KIp8W1GBARE0v6Z
+FgnBd01G6utJF36StuALDML2n0aGJw4RwF6eN0jV8MfsWs9KRYwJEDtJ+e1y
+yg+zB32l5JDW2OgkEZbqi7ke+BlvNSGAFiBJvzV3Fk9sOP5M2JSAyDDdwR4b
+d/z7/QjnmBkBlUO/tn6774p3vrr13cKcgA+GT2miAi544GT9uzrSejw6M07d
+BD40sTMsyoLc37M/1GNU6PhBpPCeEdI5rMcBdxNO4T8fAj8iSwK+aXv/GU1y
+wD1lXdzzpK3Y5mJVjhzH7zRs4w2sCKju9NgYwEnFHFVR39NJv6tlHeL5Y4av
+mc0WKx0l4LoRw/5m4CFcvb5lwoc09XWPl9o84MA5b5Fa0voTykcNLsjihtWg
+A3usCVC3Dbo45sON7A/6GZ4l7dHhlyB2Qh1xLUWol5D+WhxMfHfXQ5xMF573
+pHWbkaS73gF0y27tKz4bAs5rAM+bF8bI9JFcqh7p4d788G3ylqijJUfTlfQ2
+/ULXK+W2aO3Ie4tHpFuD5D4e+WKHwqQsmwZJO1cWUdn2OKLjvp7SP0hHL14Z
+d3jmhPaorPcSohJgk8LK13KkoSjrX8VqpOWVhU4IUgh0v2BLz37Sy602ogv5
+p5FJtMGoLek2WibzP0Nn9Fvg8Cdn0ll/BpKLx1xQo8R6hj9p1xsiRy7GuqFf
+iifunSOts/fY2pPbPVDMaSm/GNLcjKznOv95op4navLxpN96DoYJe3ojShPR
+8j8PcCRtCYk9izjbblnEksZWqj/OHPNBD9vr2y6QLsrrGrDe7ovGgm8qhZBO
+mfN8YPDTF13UlQjxJB2sy5eu/p8feqAsdd+RtFNChbdEjj+a2Bj92oT0oddm
+pjyeAWjZU3lKk7S6/LzST71ApO/7/ZMkaVH/FK5JviD0hKP7Pw7Sa5p2jPcP
+BSHRhpSb4+T6TW/obW6uCkaDc9J2LaQZJ87mV18IQR4ZrmvySZcZvxw+ToSi
+/l5/4cD/rbe2ogybURjKX7VOMCLtqBBNK90ejgb9ph2ESGsKfbxtxROBTnlU
+Jg2R+8/Prjv6cy4CDUtmChSRnl64JlvQdw6xdzyccCFtNq7ACDGORHOGXdGj
+5HnTeW/ztetZJKLu+mCaTVqBdVFARu0CwlZ2ruakKU1DVp38UeiNZt/1e+R5
+rrl5jSk2cBFl7MtZ0CHPf+7VlkUvo2hUdmrEoZ+sl8TExU3Nj6NRCE1ByoM0
+EWJu7Z4dgzKtuSuSyXoTsVnX/9QpFm3/uLBSTNYrh8mepQ2MWDQ5P6oiR3rB
+gC5EGMah8Ibi+lyyvjvVG2x45OPRrjfiS5fI+g/nCRpw+JyA+rdZdikfJsCF
+/c5ylUMiepln+zWRzA+bnwzhtd2JqFsSBU+S+aI2qWZbXnUZTfXuv5tJ5tFw
+8/ir1YBkdNE5v6bNkIDuJ4LfLSeSUUHT+i/cpJ9UG4gWHUtB9eM3M44YkO83
+N1cp3pqK0O41gg36BBTolXmYU9JQUOrs93A9Mp+0m8J/aKUhAepEWAGZj6m7
+By8X+KShLqurbq1kfoYrrytfGUlD/jveJ60h85W6mT57qyUdebtrUEz3EsC1
+JOa1kHAV+ekoaGqT+W4tne7V13AVXRry0dMm8z/fdL13zber6OnZbzv2kv1B
+p2jF298xA4HX1nfySmQe2LJ8vu/MRHP74mmjcgT01iUFUAavIfo7s9oOsv+I
+j3MEDvNmIdkVzpdZZH9yFQgPbDLIQr1Ce14TZP9ic3cLir6XhdbJ3BhYFCFg
+t7hRCFfkdfQpbt+5WQGyPs9RIvgVslGrUh6/BRcBn0qDIr7YZ6PenJsf5sj+
+ufPVXAQjNRtJPVopTyD7a+eO9+eu/sxGt+XSj9axEfD7Y12kaHcOanHe0/31
+Nx2cDP2ipQJy0S6uZelXC3QQ5Fg8kDWch75Umbm5DdBBi++SgP6fPBSrViAf
+w6LDCdHNQxNi+agxyi40h0GHIpV/gzWt89E5o5nPz7vpoGmTWDrQmo/QUOGm
+4VY62BXJbhC6dxsFn6EfO19Lh7xD1q/TAgtRdGDmD50rdHhhNVGofaUQNUZL
+3JpOpcOUQ6jPcGUhCvVxX81MpoOGTx73zqlCNBn5cHIsng7N12d0e+3voA+W
+wtEOkXQYn47O54MilF0ye6vUgw7KSQ/dEv8pQY6hLAqLnK/0u2OMyxVKkNjh
+W5sUyfmLuoGq0mNYgi6+990cQs5nUWnLswLhJejrv5xrBbTo8CZD0+fGTAk6
+eONxoqQqHeJy64Ludt1FPxZ6XpUK0+FTZX10W0oZqm1oikueIOdDRksuu2Al
++nu6/PFMJA0kVVpX9NUqUdGIbGZLBA3yYlotzh2qRLRFSbWcUBrc1mpj+xFe
+iUb3xl8x8KfBndz2M3NjlYj/gsUJf2caUB+evjZjX4UMWSt7PU1p4HjB5eQr
+1WpUuHTSCZPzr+dmr/l7fTVIuDJ1i0bRKTDrcL4BTrVIi/29u2WmE6RfIowP
+1NQhYwqHi/GqI3DIcEUnLj5DnMfzZvkeOcBNia6C93rP0bCjkGOcgh1M11zj
+Kh9tRGzlEr3XntqCaOygxpd7zWhr6Bu33dI28H1Y/OOMbQvqmIoT8Gy2gvmy
+XX3xP1tRy7RuVEyCBbQ/bIzNft6OXC29U34mmoDVQctGwqUTmQ6Ve9rmHQIs
+fOz57V0vEa9fTDtv434AqgZ71HIXEj9QzaZqBxAoztchmt2DgiTa9qtt0oOD
+aepK6dW96PNYkGF+vSaUvrKr9rvUhxZX7Z0ZvrvgRr/XGzlbBtr6R/jpaPkO
+EBDMvVxpx0Bx5sE7N6btgHirLqTtyEAjP34HHPXfAcE9ygUmpxno2/dGEN63
+A6gdk+5+fgx0tvdV95UONRCop60+T2GgVdWhzWemVSGhkCrl0M5AzmHMOzL7
+VCDUD51J12aigKjTIm+Ft8PfB36xQ7pMtHWQ8k8cZTtEL5eUqOgzUbz0HsqB
+aUVIDtn0ufUgE4lRi3vn6hUh//yk96+jTPThwVONNWcUoT0xPYTwYqIC3YZD
+YnUKIFw4fnlvARMtC93znXQj75Os5PtveFho4PN9T/NfskB7WCqRwM9CvKH7
+W6+Py4JAZmu8tiALmY4Z9S31ycJZ2z8ns7aw0JPUWMZIiSyovfHkoSqxUKnv
+vGmKrSyUDJmc7jNioWjiXYbiYxm4Oc0t0h7FQpdV7pTyXyLvz//JRwVdYqF+
+/xYU7icNv8sMZuUTWOix0iaV707SYOcZ2hyTxkKMLPFJKfJ+Lbow5W2Yx0L/
+FvI/370oBelL7e24noUuKCx2ORBSAAOfdnk1spB/gDxfhxV5f6+l3NrawkIy
+j+YpB0AKzIO1AsJfslCQn1K/u4QU8PwqltZ5y0KjgW80Jmsk4dnb5stTH1io
+V7Ixty5VEtyfDa1kjbDQ8rzuy7tektAZIdK9MsVCgcefi40rSUKI4y7t4lkW
+CuYx2KSxXhIU/zUvpH4hv1fUNDxnQgJeS7pv4Fxiob+BNSDXKgH//z8D+Ysa
+m78slID/A0P/4u0=
"]]}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->True,
@@ -4751,12 +4806,3528 @@ l2QZTAnDsIgL16ZFBvr36YW+znZh+P//I6iUVqJz4Z4w/A/bixFC PlotRange->{All, All},
PlotRangeClipping->True,
PlotRangePadding->{Automatic, Automatic}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for co-propagating case.", "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->333910298],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG
+UiQZklmGzJlKShokKen129dvXffn6Y/1Oefsvfbaa6/vtdf9vO/n7W3Us0+X
+C/NSqTR7w1KpSM99k/HN+8bJWiVrmWz/ZBXJqvjcT5+N9MPnwGRVk22SbPNk
+1ZK1dayVflX1a2WsDZI1T7ZZsjbJNk12kN+bG4ux1skOSLahe/Js4frqyQ52
+v8Lc9jXP/f3OHdsnWftkWyTbMlmHZLWT1XGv1ua3kWcq73mA+7VzvxrGqWms
+Gr4f4rmau/cGrmvufrWSHeaZ2rjfuea2n2duu14NDtKvmmdkrl6yTsmOdM9D
+3XdLY5PXVsk6JjvC83HOw83zEM9Ry7HymkONV8d1HTxrO/eu657EPcocyKWz
+3/Vdu5XrGyQ7JtnRyQYlu8H3bXyyLlObfVxX1/j7Wb/zkp2QbPtkJ7rHUe5b
+1yc59bLG5Vqf7/ranrGWGl6gz9buX998GpjThereSoOFPsl2SrZzsm7Jtk3W
+MFkXn42SHZtsu2SNkx3vGN/HqfFFxmqjppc43sZ3dO3rXAP3oHaXOnewsZsk
+66pWaNY/2Q7Jdkx2crKmfp9kzZpaNzTvp5Zbe2bOj/ZXGKuJa05wP3wvs36w
+cGWyAa5hrJl1OdX9+T6lFNpf5Zp7S8H3edZiO+tDLXdJdlqy+9Wvt35od1+y
+3ZKdnmxXfXl2d3x353qr6QOO7ZGspxoyjuYPqWsfnw86t2eyvZKd6Tq+z0i2
+YYLy8/ScY15jzamPOj6sZherIRo9pn6NPCc8jNMH3wNd28c99052ljU/QU2P
+Ufcuri/zdZIaomVb9+urNmj6uOupK4xcrt6HqmE/fbl/15eCczQ5pxR9B7/+
+roOdk93zMPW+wrqftp4O1L5HKZhA62eTXVOKu8t9fMZ1rO+gD74flYIJ9OUu
+7WxcGIKdMlPdHNvVfbqb+3WluP+fq+vDaranOvY0t92t75nW+zzPTF85wjzJ
+dx9rcI7fVzu/h3GJB5+zS8EBup1tbHraS8kmJxuY7FrPjnVyrKv6DvW7k/mf
+b070qF5+07duKoX2x3nezuqFHeOeMPVIKXga5Dis9DYW/Q3OYbyl4y38Lt+B
+VubR2X3KzN1ofGLDNuzC2qPJhnkWWBxSCt66Oo/fQY4NMf/xpWAV9mDriVIl
+i4zTY550rr8GM08lu6UUDJ7sPOsOcW/Gby7FnX8w2af6wc/wZLf6Dj8jSsFS
+mTHebytV9rLDzfPrUtzhUaVgrUcpGEXzj5N9UgoO2PP2UjDW07j4j3QN46NL
+wRHMwxJcwBZcTHT8atfD2Jhkd/gOrzepw7Hq28VvWEd3+tJdpWDwbNfwfmcp
+7t0Az3eR/qzjrnxmvbhDA0uh/yVqO07N0G6w74PN5Uvn8UN/OBiqhuOtWw/P
+Pco54nRVj1PU5BZ1O8kYJ/pN/4KNb5PNLQUTMNDf55PqO9wYVzjX3vM+7Rja
+jlDf29zzVH1+0I84O5pTP/d93LxHqiVaF1nc+TPUZowaPqeGo9UaFrIs+hqc
+TEj2cyn64Rjne6r5BMfJ8TT3u0P90O5TNaqShb53qitavZDs+WS7prl/0nNt
+Ke7tpGQvJltTivFd0vyr1vdmc73a3Olx9MB7jHWtsbHrjDPJuPxWwD534Hxr
+hNbc3XuNca5rrnMNd4M70tsn63sZgzXnmce17v+ga+hLsAVHX5WCO/h5uRTc
+wTA9qcwxPWxqKdjEFz6+U8uhnn1asm/Mmdwne6ZBGvdpivHIg574ivsONRdy
+6msOX5gHNYXB6cneVb87zYH96VWv6QOv8At335dC/6vU5Gnn4BZWYeKNUjAB
+i2+VghXY5S7fqh8+b+qP74/64DvPPSaWKvvgjGQzjQmzMArXeRbf8Pl2Kfga
+qJ7PqRMaVWRxH2Bzlv5jSpU96x3PD6/vleJ3eYMsOEZL+uomWeg1Rc3QYpJ6
+zLG2GyWf941zt/rc5JpBPl9Sgy9c96h70J/gAF6mqvumWex9hzqR53jnvlaj
+6eo0w1q9roawRC+CIZiAh1fVfrpz+Gye9qieRc9C32H6TbP+M9znKefnqt1I
+9aVP/KR2Mx0bpZ7o+oM53arunG+IOe2TRd9BxxHGxWeLLNb9qHb7ZdHLRqvz
+TPWdXwpe3lbTWdZoltrSg9CxuVqi/4PJFiT7RTa2SXNbJ1tkje+UgYXJfi0F
+S+87Vtb1A8fYe6K50EvoDx8mq5qFnl+5xwvuOV9fxmCYfnufzw9dDx+/lSKf
+A7L4Ox6uFhiHfOCT8zykL2umuGay3+Q/yW/ODf/0qdnuTV+bY6yHS5V9c6G+
++NH/OAesjnMP2FzsEy2X6LNxFn5nW6O7nH9Fn0KdZ1vXBe4JZ/C2LNlmWbAN
+mzAKd3+UgjlYpT/BBRzSe1boM6MUdWqh3suNOd05+Psz2Urf3zAGsWrIfrWs
+8s6QA/0WDn8sBd8wBlfl36gya7ls7psFD7WyuBPYBBl5T17WJfu3FJy953re
+15Yqe+Jf7se+3KlVjnOvYBaG4Gf/LO4GjDPHnfg72f/c6wPPWMP7DUNo1FLW
+F8rG7+vpSS+gDm2THZgFx/S9JfpNVael6oZebbLoU1/IAPvA/SauXyIDS9Vk
+uTF+k6fF1nsz46xQ89f0ne43WhyarGaydp6Js/2ppitlhPw5xww1X2FNV65X
+41WOLTW3aY69ZQ23zELHw5KtdmymOdS0N6127G21xp9152TR1+ABjc6zf9VJ
+VltG3pUDdKf//GYd4Le3/epfGVmnz9HJOie7IIu+0NKeUDc9t8pCz/rpWS8L
+Btatx8F/crFWduGOfkPfKZkTXNWRqcLfS2L9Kit13Y9v9oPFBfJPD//YWqyx
+NlWM9alx58svviX/1tzQ+1r+va1in14kH5y7vmdjbCP74RzrBZMN0nf7LLTZ
+UuZayfqm8stvZVXH6FWbyi1z22YRB04bZcHEMg3+tktjB2XBJ1xxvlnW8Q/5
+auIcPvQP2DzYu9TYfoQveXA3HnM/9mooy9XsQ82yYLHMIef6SV4Z31EGa8jh
+Dlmwzfz23h+47yDDtbPK3tfUdaw/REZh89xkO8s656vt2nnmwfhO5vGzeW0l
+02j6Vnq+mWykWvT3ru4ux+tkj/fd0tieMgqXLdXrwmQXZdF3Wmfxm4z2izw3
+ddlRvuvKJXwsloGNjdNSTRuo6zrZ38N7w/3injVU60Zq9Ic6VlM7eiD1bGJN
+0RC/7ZzD51JzQgPqX8O6trPmTY2xRJ23laVL1uOvtWfu5zrWN1XTHdyPHJfZ
+f9pb2w5qW0ftdlI/etbhyQZkUbO/1Y6a72Hd+c9X8Lur648wHnU9MllHdUM/
+9Loni74GJ+cnuy+LvrbGWDvrR7y19kJyIJde1vx+eVinFmh7VLJOWfTLvbPo
+DTCxl/nekOz6LPreg1n0Pjgp6cuafV2few7OA5td1e6ELPownJf/lmRN4Vnr
+ylRH1/G9mTq1Mb965tvcWPSpA+RoQ/OD13Kf5tnA86PXln6j/zHqDatV1X8T
+92qo1sfq00e/1s5fnKyLcfA9Tn8YaWlO9Mi+5g+nja0FPrAFO5dnwRh8nZQF
+d/Bc3Zptb936Od7Os3J++vTJrt3RPdhrc/dpbIxTs+AP9q6wDoe5hvFTzIWc
+6Efwd2UW3JyWBVO7WItGnnUnx7slG5sFi/AFl/B4r2vgsLuxahkbfY9Q455Z
+sAiHu/l+ehY81lfLM7NgEBbh7oEsON7D8TOyYAOG6lmny7LoCT3MgdgXquND
+6oiGF6nRo1n0goaeE20fcf5ite9jjM7mt7V1Pl5N4Q22jnE9T/g4UQ23V5++
+7nWpeY43xnHGOVFfuHhC7eGE+3ed+x/iWD/9TnLd01n0fHSmT5ydxZ1s71h/
+Ne2mft2tTw81Qnf6FUzAFoycqt7dnMPnmWQfZtGP0LqZfqeoe3f3Qeerk12l
+1nuo11GeZaD6nqGWaHhtsmuy4KCH2hGno+OfZdGD0HF34+ILhx9n0RPZr4Pr
+6F2Tk03Kok/tY13g6Sz3h6lPs+iN51o7etNj6oVW5zlH3zrfb3pQL7+bmztn
+gMcbs+DgWM96lNphR5sXPMPyAdaik34XOkcvgcGHs+Cvl/uwpszZIH2Yp1cN
+Vzu0GJwFV/AFx3A3zrHB5sYcHA9xHr821rqj5xmqDxzDHRw9mezmLLiDP1h8
+PAumT3B8mLWjhm2dO1jfk831JOMRlz60S0X6TSwSl+l5WxZcdfM8vN+aBYfw
+fJgafZXFHebvHriDv3tl4aNks7PgA31HZ8HV6cbFf4RrGB+VBT9wDkPwe4T1
+YPxZ51gPe7cnG+P7Geo+SG1uUCe+H1LHz5PdmQV3Z7mG9zus8VC16KM/6+Ad
+PuEUTuCsk1qh5yNqiaY3+X6TuXzh/DjjDlbzvtbuUc84MdkENR2mfiOtDTUa
+r77fJPsui970pPme4JrL9Bmvruh7SxZ96Sl1RsPb1PFyYzyhz/f6neS6m/Ub
+rv6M83sHO8+oxY+uhYcB6tdDna/UB1/+hwH0rDIPeR79ortrRppXN8/cU13R
+l/v7YrIX1O4ONUOH55M9l+wTNarIYw37n26MM1xDn6Bn/P/vdx69DB7oT4uS
+LbR26MK9ob/enUU/Qpur1Aqu4ZseNNZvYsMHjPc2L/IbqF6PW+eJxrhGX9b3
+8nyc83rPOdDv5/S91j3JiT44SV8YhzW4mprsZd9hDebg68ssGJyTBdOP+KRv
+DVPnV5NNy4KnYa7n/ZUs+Ods9MTyfbjQurH/IPdhP3rY19ZwvHPcg5eSTXev
+Wzzj854TBuFurjWiVvQouJuhP9zAS5YHbzAFe29kwQ3M8J+/4Aiefs6CvQnG
+Zo/+rmM9rN7q2tddz9o33XO48xOMg/Yw9bbx3/Yb1uCoSh78FXnw/UlW2Ztm
+qeNEtXzHcZh8Lwum7/Kb93fVcYmaTraO1PBzddww7TPFsRvlAYau9/sm1z6s
+P+s2zqMffalGm+TRu8c59oWaT1P3WZ6Tc9B3vk22WR7zMPKq2rymttXyYH2u
++rPHV+r5rTGmu67MwQzXv+KZh6gVMYj1Q7IaefQmdPhJ3ffOo6fAwxvq96bz
+W+aVfYn131uLKdamrN9MtZ+xHgtvODZGnWap27wsmELfffPoX6OMAXew/Euy
++Wr6rlouVBs0pDfByf559BXu8gfq9muyBcla5NGb0PcdmSDW1um7fh7xPnTd
+PeY0wRw542DryF3hzpR/g1lzr/k9Z77zXMc3f5PR58gLFt/3HLONNdYzwNtv
+8gT3D/mEffoC3N/v94uefaG1YU/uPZxtlAeXn7jH/Z7/BdfBDXzC5WK1m+pa
+1j1iLlPM5yzzpuZLrAFMbZXH3sSmrs3VYFkWHL+qH+9Lk/2RBaMwOVd2qif/
+mnmwBFewDNPfqQ11+jcLvmGevvdnFly9bgxiPWVcxle4N3stN9bmecRmDRyu
+TLYmC1Znqd089Zrp+OosuIfBVVncB9jcJ9k6c3vf8/9ifddmwRa5/+VexIAl
+7g53iLM+7Xn3y4N7+J3l2n+S/e2+5PKruqE1tTokj3u7WH3QCabR/YA8WGJ8
+kTVfbi2mqt/vWWhfNY++RV03zYMJtFqmXq2cx4/51vpMNcZi/Zao8xzZIxd6
+GTU/SB5eNY9v1WIze8tfarFC7f5UxxXmfnAevQ9O5spLNXmpaR1Wug5tv/Js
+j1rvLexXf6vhW+75pt/M49debZ5Vq7Pz6INovVoe1qjPWjVCu3PtWf84P0st
+uA/c43Xy+5461kvjdfPoMfSN/2Tof/ru7z06P1nvPHoWmq6VKWLRrzonO8r7
+xz2sk0feMFzb/v2fe7DfAvevkDd6QyHP5b8ZM/9uJNZ8mSZWLWOT+69ymLnH
+R/qw73xzWyR/C2Vwa+tRJa/8Pa/wNx2+WspuA5n+XSbQaQfHmCNmG1ncTBZb
+yycMNsxj7cbG+0LG4QHf7WRxuYzzvdQ7tlpGmuTBHfzBWVs5Xi6Pjd2bHL7x
+3nB/vnH/Jd6J6rLZTgZryuHh8kZNd8zjjKtkeQs5rCHv35sD+3+nHzk2S99N
+82C+fHd43z4PBneR2VruhXb7yOk5yXbKI85qfdfIM7rXVvvz8uB7f3ndSoZ2
+k0U4hM1e8so5OA968VsKK+i/jbo1UBtqtK36tJTtPfJg/3+y8pvrDtDngmR9
+8uhHB+axN/67G3Nb2anqfCu1Xq5em6sjvQh9G6sx2rWRoUZ55LZU5qgvtb0s
+jx7UzpiN9GHdxa7tn0dPPjQPLbZ3n+quY/326tXUPMinr1wc6vrD5aK2GjVT
+JzQ8TDbKmu0sP6vkYTfrsrs+OxsDHe/No0+tVb9dk92dR487R207Jjsij76D
+pmPNo4N5odHu6oS2nZId6Tku9SzXJ7suj770QB79C+3QdU9j0FP3yiv7U8lv
+zjfAM3Zw7zruUVeeOpprXXOt4zdcw3f5t5k96E/7OUef29/vCmPVN8/mztGT
+WvhNrzrAb3o5LMLX0XnwuY3vh5vzYc7DYZc8GISLixxr6Dhc8o9IWupTVb9L
+8uDpIH2Yp4fBGswdl+x43xvrhz99CL5gp18ejMHXifrBYNc8+EMneskJjuN7
+rLmxz0muhX14rKkWfMPZye7DfvSn/vq1N/6l7nGK/s2sb31rxjc8nmq9trR+
+sNw9D1676cM7XMLsPcnuy4Pj8/VlDQzDAKzU8Ru2e+TBZj33h1m465kHSzAE
+P7B5fx6sn+5afM/Qf09jshe98QK1e9DzoH9ndUTnPuo4Lo++8LBjF6n9MXkw
+0sWaH+vY0Y5vp8ZlrRurXV9r+5hzx6pXG/djr5bmdoH6dlXjT5N9lmyDolQ6
+Mz3vTHaH2p+oLzo+mexytYWjy9TwFHW/yjpT7yvyYP5p55upKZqdpoYf5NFf
+7jE+sQ9xHevb63fqenp3dz37weIO7ntlHpzAwEd59DL0HZjsWs/4gLqcroZo
+PVZ9Z6v5NcmuzoMr+t4+anymmvcwhzJHpzuG71l5Zd/a2+/DrQk50vcmJXvR
+WOy/h/sd4f5lXQebC2NHeoYj1zsTT7iFd/inZ/VRX3oDvHIP6FO9/W5hDvB4
+tPOs39+1D7ke3gbpc5T+1zvGHGzCK0w9kgcjTdXjYuda6weHNya7yXfON8Qz
+wt+jefDZ13NQ9339Zvwg497iPjAH5we7HjaHJhvme9lnvH5wCldPGINYJzvG
+HLzBHrzB6q158Apzz+bBImyNyIPF0/RlTXvPMUS9rtT/cP3gZGSyUb73MC5x
+bkv2cR68jnUOlkbncR/g98NktzsOKzAAE3AAz3AL0zeo1SB1Otox7jCcnam2
+n+fBP7+9A9UW9mDzCLV/SB90+TKPPtVFDYn/sJp/4dixatvTvcao/yP6nmw9
+h1sjfGHgMTX62vp1VcdL3Hucmg5dT1f0u1ldxxvj22SPq++JzrPumWQ/qulw
+15LL93n0safM61bnnzDOZWr7lH5893N+hLp1U+dnjI+OWRF953Q1G6323dWf
+Gk/Ig6nTnBvh/qcad7S+sPBCsufV/A7reob6P5dsYrJPklUU0bv+y6Oflpnp
+6Rp6Pfefv1MWJvs1j/7zSrKlyZbk0YPvyqOHkd+V6+XL82prjS7cS9iEUe7r
+fX7TR+ARlst/FzJ3vrlebe6cZ6Dne269sRccv87Y5HSOuTIG1w+4B+eBLxiB
+Q5iamgePMAfD9DPuAMxOdvxz59D5mzwYmup62HzQPS5wvxtcS61gFBa/sg6P
+uYbxl82FnOh/L7nvjXllb5qWbJbajDEH9ocvmIXP6XkwB2vlnsX3d+oKX/yD
+XBiGT9h7PQ+GbnOsv+OvGXO4c7D2RrI3fR/pHGtn5MHyAPUv96y3kk2xRouT
+5UWwDm8z9RmtvhPU+Hl1vdY5zvt2sletA2eld8HtJ9aZGvO7+Jka8XfIu3lw
+f6cMvCAHYxx/xzpPttafux4NN0rr5+SVPWqq5+B7jiwMUdeX1RNdv/RZtYj3
+tz0n56BPwcymRawbqqbjHf/aWFPlYrr1f80zT7cGr7pumPqiLT0MTaun2HPV
+5HV1eV390I5+9oP64j9XPt50foTz+NVMsTYvIjZ77FVEj4AfNJnl+dDt52Q/
+qfcozzzS7zfNg3MMl4F9iuh3N1rXl9R8frJ5eWj3jjqh24Jkv6j5/smKIvYf
+ox99qX4aq5esShH6tyhC+/eMR3+iJ7yfxz3gPpR/I+l79/h8Xz/ONdF8ONuz
+js1z/DnHqNUzfj9vnr/4Tu4wSs/51DzhdLJnYv5FbZLz+M92zcfmSh/8zBjw
+CVswBo+/WT/qCLdwPMc9GF9kPGKNdQ4fGN45+a9OzzV5/K15tnXapAiOYZIe
+D68w97LvS5zDhz5WRV3QZ3kejE6XGxirlsZr2Hd+kAWY+NO4+C9zDXN/5MEd
+9+JxYxDrScc3K2KuzDdxVvoOx3AHg3/ncT7eYbUkd3snW5UHm2VGV7n2HXlZ
+mwfXZc1hYIui8g5xFu7RfLX/xT1mWc9/fCfevkVwD7c/yQzs/Ote73m+at45
++N1QhheqJTq2LELjjYvQfZEaL7d+1JE+Sw/5PQ8+NnZN6yKY2URGNnSf3/Vf
+op6b6DfFWOxDz6LmbYrgYZr7feke49QM7VaoG/6sa+uZygy0K6JPTXcNufM3
+BffhRTVcqaY/WnN60V/qs8ra1zAO8+31WWEOZR7wZ91ZRfQvdP9bHlar/d/G
+RKNz7E1rnEfP/WT7PHvOP+oL89xHavivvLzrOeqmsa2S9UrWXB3hpE561k52
+VLJO9iv6DX3nf8Z+x1hbygoM/uc8frWKGIPJXJ652+z3i/uzx7y8cs/58olv
+yb8zYW6dDBbySZ+oL3OwRX5os9AzLVCrQt8K45Hfh9akwrr8bK6co6U8w+E2
+srtYNmGtVRH7Mb61vjBaZh3G8Fss1w3S+7ayC7et5XpT+w9cNZG7g2S3kewu
+k2f8v3Y94w2LmGP9dkXciZed39wY3xp7hfFXyteO8geT9Ibq8j53PRabpu9D
+9KnpPH4HW6P2slzuWTs5voUc/CWn7NWsiHd8t5d79tlbfs8u4r9L4r+H3VUe
+aslEuTftYv47FJEb/NSRoV2L8FkrA3XlAO22Vr8G1h8dDkh2gZwTi5zIp5d3
+p7maHqBPSzXvUwRvi9R9d+/SOvfmfTd1byA7m6kpvejSIvrLweq7TO0aygfa
+NS5ibLk9Aw3a+eznezVjtJW3VuYIF42MB2MXJTuwCO1XWHveGxu/tfOweqia
+9i+i9+xZxD1ZqYY7qOOOatneNbBB/dd69r9lAd9zk91TRJ86P9nYIvoSWvJb
+vkZf+NlZDXd1Hv0PT3aYOh+RrEOyu4roj2db/93UAM2PTNaxCB17J3vAGMQq
+97Hrkg0soj9xPs6JfnsYj/22dE0H17H/3talpJ59k13ifrBY1xzr+E1/hu3y
+34+sz+TgINfup19h7sSoZ55wBmOwCJNVfOfZwjyvULOji2CtgSygKaxeLAfs
+2aUIxhoaF//ORWVvOqYI3uG+pTFayQbfFzjPehg7NtlxvsMrbJ1YBF8n+s3d
+glOYvSxZ1yLYa+Ia3o/3zPU9dzvX0GvaWufy/eEs9EK44z7UdA/YPMknfJ6S
+7HJ9Di0qe9Ap1q29Gjfw3NTvVH3gEf7gsLvfsNkt2Wm+Mw9/cH13snuLYB22
+4QEOYKCHcXZT60ItO6l3Pefg7vRkPX2HRRjmvnBvzkh2R7IxRTAJ07XNu7Na
+jivivl+sJsepERxcqIbHqDUsPOQ4873V9wHXdFHnC5xroTZbu99x6ne8+jxW
+BM9dHWusVhebU1s15HdpfBF98DL3ezDZp8mu9Fwd1O6JIvrdwfqyht4E80+p
+NXqerEbd1PBUx5upEb1ib/3xhZP3i+gjd7tuZ7Vtb3z2OcQ8+rkGppuaI7kO
+SPZJsvs9xx7q1FNtr012TREsXJ3sqiJ42E2tr/KsR5jjmUX0F+Ie5j5w9WER
+PbS7OZbZ7OEY/ezFZC8U0cv2MtZ9RfDzcRGcUgv60GD1Q6dzndvXHMmlo3l3
+9BwwAgfwA4swvr/vPOEUJmDx+iJ4YayFNSBGJ/M8St+BjvH9kPEvNDY5cVdu
+MCbMwigcPew3fA4qgjkYa+M8fvStcY4zf6P+xxaVPesmzw+vQ4pgC4Zhudy/
+TtB4H6YP87AME/AJl0ONc4Lao+3uroObW/THl94GW3BFXxpeBJPw+kwR7A0w
+x8HmOcBxmCj3oBFqDwOjimAJJuHptiLuAL4j9ccX1uHog2QfFcHWffreZg6j
+jckZYAAmOqpdZ/VFK+7sA2p0vToNVG90HWMtzrAGJ1uHz9X74aKy391exB2a
+XQSvaPdFskfUepD79HHdQ451UdubfKLto+r4lfV41rqOM95F6jRM3agxHAxx
+HesvcW6Iug5Ty5uTPZnsu/W0f7yIfna5uj6lPZ3se9ec6Nkvd/0T1mO4403M
+qauxiPmt82hyq5qMVutR6tpdHfk/KfxQvUeo5Qh1H+n6UxxHz4nJJiT7XxF9
+EB6uMOen1PD5ZM+p4+3qNFrN+P5YvfK0d0VF9EF6OH3o12QLirjH9BXuMr32
+ziL6HHoMWE8fnldZ+3HWH07hld50r9/Eg1d6xFjf7/V7gjGuNu9rPMdEx67x
+TIwNNDY50RNfcAzG7zc2/QvWYGZOEbzB2EtFsM8dgEO4nFzEHeD7M+fR8esi
+mCozOtX4xH7A/Vg3KdnLRbA4xBpQi69cN9i1j5jTRe55g3nB6jTXvq1Ot5sD
++9O34HB6ESzDF+w+4TvPb+UAjv5LNrcIVuEBDmHodccud3y6cW9x/jZ93igq
+GbzF9a8VwdcV6s8cbL7p2Tj/78myimAavt7SZ5T6PqvGz6nrNc5x3pnWYKhn
+hEn4/MQ6U+MX1WeDimD1nSL4vkMGnpeD2x2f5brrrfeDrmctfQwuNqoIJtB4
+ivrMcX6w55qqpl8W0dd4blwR7++4D/vBy6YVofvL6vmKGn4tD1Pca6rnRINX
+fX/VGrzi2mnq+o0sVK+I3jVXTWaoy3B1m6FGPxTRu57U9zs1fV1dma9ZET6b
+VUT8b9VypLrNS/azuqHP22o0Qr831POnZD+aB2e5Rb+31Ba+X7L+b6vNLDV7
+1/rRV7jL7yX7Jdn8Ihipl3KrWxG96Cf3m+B+z/j9vutY/4Hf9Ab4g8P7fHIv
+yn+L4XePZ5zoXhN8n+f38+byjPV62m/GYW2BT5ic5PkWJlvkO2f+db15eILb
+Mn9wTQ+Zba5j9WGePlS1IjiDmcVFcAMzsAl3cDvFuZeMR6z7ncePfsPfkWdZ
+Y5iEraVFaA6rcAlnsLfc+Wnr+TA/3j3Y67dkf6g1msMkjH2vLnBFvf4sgsfX
+jT3d+K85vqIILuHuCdcT5ynHq1XEXLkfrfQJe6tkpKwVPMER//5wTRGcMQa/
+P6nt30UwOdOz/KZWa137rrHfMv6P6v6MulWx5yxS58nqO8nvBfLxgtpsWBF6
+UvMlRfRG8q2dxmupLRrTR6hZDe/j79Z5qvpsYj9ZpibTjLnUuMutLZr8tV6d
+Vjj2mjXevCLu+gy1WeHaZcZEx2r2l5nWcLW+rxuXnOmDXzm/Rp9V7v2G9d4y
+xdmiImr7j/VdrQYz9X/L7zVq9Y/rflI31v9oPLT5V62469zxddZ7q+RXpyL+
+FlrnHP+2jH+ry7/h5LeQOe48f2fxTQ/gd6rkbxV/A/HNPSwq4pu7RNz57sP5
+dqyIOixQe/oT9qsMVPFvqU/N6xd9F8nbNnKxgWwU7sOa39Qdn8VysK18bORv
+zXYVoRe6oeWm9u6GFcHCUg2fRrJTVX7Kval+RayHjcZyV132Vqj39hUxv8L3
+zb2L8PG73JFb04rwXynX8D3fOv2lzqvUuZnco3FZ35pqvFNF+Ky25rWt+2r5
+2Lki/n3xGjn5Rxb4t8bUa+uKOBtaLPSM/G5s5W8H8/X12U0u/12v1g3Mjbzm
+eT5qyhmpeSPr3sS6UJMdZIGzNna8ifWgLttb58bGaOBe5bqxlhjks6s5cT7O
+yXmbWRNqs8r6sRd5LVVf/Jhf7Xl2N97/AY0XzyA=
+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUmnc4Fu4XxqVBUkKpRAOJMipS38idSCqjpBAphUqKSkOTJIoyEpI0NJAd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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJzsmvc31////yWrEpKMIkVpGGnRdPUiEmWWkAqFSJQoIZVKJBmloWFEIXuv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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for counter-propagating case.", \
+"MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->11522122],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP
+OuokoEbgEJCDQKL0oAwmr1Lt/bNXNa7voko6Ryqte779nbo//NVvf/nNd66u
+rn58e3X1/7/b6+VV//az8+vZ/Ovz6wfm359fT+Yv59ejeXt95e34B/Ofz5//
+vvmn5/G+h/PvzP85v75r/uZ8vjuMf4v53+B81+Z/byc85Hw+D/n5D/M23mr+
+yfn80yHPN+D4d/OPzp8v5t+d3/87+M3M1+X9SvzH7XjzL7bzmy/jm2/O/xzx
++cn87XZ9OP7DfLk/5uvtz178h+3+mi/33/zX7fsxb+PdmbfXvfny/Zsvz4f5
+8vyYf7M9X+Ztfo/mv2zPJ+b7ZL4835j/M+b3Qn79+flzf6rki1i+iOWLWL6I
+t/M94vgHs3wRy5c8/84sX8TyJce/xfxvcL5rs3zJ+Xwe8vMfhxxvNcuXPN+A
+49/N8kUsX5LfDnn/rq7wfiWWL2L5gvHN8iU/P5nlC66/wv0xyxexfMH9N8uX
+HO9un9d7v8f3b5YveH7M8iXn92iWLznfJ7N8wfOP+b2QL89TDV9q+FLDlxq+
+1PClhi81fKnhSw1favhSw5cavtTwpYYvNXyp4UsNX2r4UsOXGr7U8KWGLzV8
+qeFLDV9q+FLDlxq+1PClhi81fKnhSw1favhSw5cavtTwpYYvNXyp4UsNX2r4
+UsOXGr7U8KWGLzV8qeFLDV9q+GJ+3a7ri30RyxexfBHLF7F8yeMfzPJFLF/y
+/DuzfBHLlxz/FvO/wfmuzfIl5/N5yM9/HHK81Sxf8nwDjn83yxexfEl+O+T9
+Ux3j9yuxfBHLF4xvli/5+cksX3D9Fe6PWb6I5Qvuv1m+5Hh3+7ze+32OvzPL
+Fzw/ZvmS83s0y5ec75NZvuD5x/xeyJf//jZYXxqsLw3WlwbrS4P1pcH60mB9
+abC+NFhfGqwvDdaXButLg/WlwfrSYH1psL40WF8arC8N1pcG60uD9aXB+tJg
+fWmwvjRYXxqsLw3WlwbrS4P1pcH60mB9abC+NFhfGqwvDdaXButLg/WlwfrS
+YH1psL40WF8arC8N1pcG60uD9aXB+tJgfWmwvjRYXxqsL+bXbZy/2RexfBHL
+F7F8EcuXPP7BLF/E8iXPvzPLF7F8yfFvMf8bnO/aLF9yPp+H/PzHIcdbzfIl
+zzfg+HezfBHLl+S3Q94/5Va/X4nli1i+YHyzfMnPT2b5guuvcH/M8kUsX3D/
+zfIlx7vb5/Xe73P8nVm+4Pkxy5ec36NZvuR8n8zyBc8/5vdCvtQrLeqxFvVY
+i3qsRT3Woh5rUY+1qMda1GMt6rEW9ViLeqxFPdaiHmtRj7Wox1rUYy3qsRb1
+WIt6rEU91qIea1GPtajHWtRjLeqxFvVYi3qsRT3Woh5rUY+1qMda1GMt6rEW
+9ViLeqxFPdaiHmtRj7Wox1rUYy3qsRb1WIt6rEU91qIea1GPtajHWtRjLeqx
+FvWY+XU77z/si1i+iOWL+Ms2H7N8yeMfzPJFLF/y/DuzfBHLlxz/FvO/wfmu
+zfIl5/N5yM9/HHK81Sxf8nwDjn83yxexfEl+O+T9Ux/U71di+SKWLxjfLF/y
+85NZvuD6K9wfs3wRyxfcf7N8yfHu9nm993t8/2b5gufHLF9yfo9m+ZLzfTLL
+Fzz/mN8L+VLfF+SXgvxSkF8K8ktBfinILwX5pSC/FOSXgvxSkF8K8ktBfinI
+LwX5pSC/FOSXgvxSkF8K8ktBfinILwX5pSC/FOSXgvxSkF8K8ktBfinILwX5
+pSC/FOSXgvxSkF8K8ktBfinILwX5pSC/FOSXgvxSkF8K8ktBfinILwX5pSC/
+FOSXgvxift3O80/7IpYvYvkili9i+ZLHP5jli1i+5Pl3Zvkili85/i3mf4Pz
+XZvlS87n85Cf/zjkeKtZvuT5Bhz/bpYvYvmS/HbI+6d9Nb9fieWLWL5gfLN8
+yc9PZvmC669wf8zyRSxfcP/N8iXHu9vn9d7vc/ydWb7g+THLl5zfo1m+5Hyf
+zPIFzz/m90K+5OEOeb9D3u+Q9zvk/Q55v0Pe75D3O+T9zr6IM+93yPsd8n6H
+vN/ZF3Hm/Q55v7MvOd5qzrzfIe939kWceb9D3u+Q9zvk/Q55v0Pe75D3Pb45
+836HvN8h7/v6K9wfc+b9Dnm/Q97vkPc75P0Oed/fvznzfoe83yHvd/ZFnHm/
+Q97vkPc75P0Oed/8ul3Hv+yLWL6I5YtYvoi38z3i+AezfBHLlzz/zixfxPIl
+x7/F/G9wvmuzfMn5fB7y8x+HHG81y5c834Dj383yRSxfkt8Oef/0uxG/X4nl
+i1i+YHyzfMnPT2b5guuvcH/M8kUsX3D/zfIlx7vb5/Xe73P8nVm+4Pkxy5ec
+36NZvuR8n8znP//zBc8/5vdCvvSPevTHevTHevTHevTHevTHevTHevTHevTH
+evsizv5Yj/5Yj/5Yj/5Yb1/E2R/r0R/r7UuOt5qzP9ajP9bbF3H2x3r0x3r0
+x3r0x3r0x3r0x3r0xzy+OftjPfpjPfpjvv4K98ec/bEe/bEe/bEe/bEe/bEe
+/TF//+bsj/Xoj/Xoj/X2RZz9sR79sR79sR79sR79sR55f0DeH5D3B+T9AXl/
+QN4fkPcH5P0BeX+wL+LM+wPy/oC8PyDvD/ZFnHl/QN4f7EuOt5oz7w/I+4N9
+EWfeH5D3B+T9AXl/QN4fkPcH5H2Pb868PyDvD8j7vv4K98eceX9A3h+Q9wfk
+/QF5f0De9/dvzrw/IO8PyPuDfRFn3h+Q9wfk/QF5f0DeN1/6rSP6ySP6ySP6
+ySP6yaN9yeMfzNlPHtFPHu2LOPvJI/rJI/rJI/rJo30RZz95RD95tC853mrO
+fvKIfvJoX8TZTx7RTx7RT/76O2K8X4mznzyin+zxzdlPHtFPHu0Lrr/C/TFn
+P3m0L7j/5uwnj/Ylr/d+j+/fnP3kEf3kEf3k0b6Is5882hc835j/M+b3Qn7d
+/h7ti1i+iOWL+Ms2H7N8yeMfzPl7/mOVv+c/2hexfBHn7/mP9iXnf4PzXZvz
+9/xH+5Kf/zDn7/mPVf6e/1jl7/mP9kWcv+c/2pfkN/NVvPx+Jc7f8x+r/D2/
+xzfn7/mPVf6e/2hfcP3m/D3/0b6I8/f8vv9m+ZLj3Zm3v/dm+SLO3/P7+THn
+7/mP9kWcv+c/2hexfMn5P5u3vy/kS70yoR6bUI9NqMcm1GOTfcnjH8xZj02o
+xybUYxPqsQn12IR6bEI9NqEem1CPTajHJtRjE+qxCfXYhHpsQj02oR6bUI9N
+qMe+/n8peL8SZz02oR6bUI9NqMcm1GMT6rEJ9diEemxCPTahHptQj02oxybU
+Y5N9wfdvznpsQj02oR6bUI9NqMcm1GMT6rEJ9dhkX8CX/tGM/tiM/tiM/tiM
+/tiM/tiM/tiM/tiM/thsX8TZH5vRH5vRH5vRH5vtizj7YzP6Y7N9yfFWc/bH
+ZvTHZvsizv7YjP7YjP7YbF/wfiXO/tiM/pjHN2d/bEZ/bEZ/zNdf4f6Ysz82
+oz82oz82oz82oz822xd8/+bsj83oj83oj83oj83oj83oj83oj83oj832BXzZ
+z1uwX7lgv3LBfuWC/coF+5UL9isX7Fcu2K9c7Is49ysX7Fcu2K9c7Eue79qc
++5WLfcnPfxxyvNWc+5UL9isX+yLO/coF+5UL9isX+4L3K3HuVy7Yr/T45tyv
+XLBfuWC/0tdf4f6Yc79ywX6l77859ysX+5LXe7/P8Xfm3K/082PO/crFvohz
+v3KxL3i+Mf9nzO+FfMnDK/L+iry/Iu+vyPurfcnjH8yZ91fk/dW+iDPvr8j7
+K/L+iry/2hdx5v0VeX+1Lzneas68vyLvr/ZFnHl/Rd5fkfe//n/BeL8SZ95f
+kfc9vjnz/oq8vyLv+/or3B9z5v0VeX9F3l+R91fk/dW+4Ps3Z95fkfdX5P0V
+eX9F3l+R91fk/RV5f7Uv4Mv+9wn7+yfs75+wv3/C/v4J+/sn7O+fsL9/wv7+
+yb6Ic3//hP39E/b3T/Ylz3dtzv39k33Jz38ccrzVnPv7J+zvn+yLOPf3T9jf
+P2F//2Rf8H4lzv39E/b3Pb459/dP2N8/YX/f11/h/phzf/+E/X3ff3Pu75/s
+S17v/T7H35lzf9/Pjzn390/2RZz7+yf7gucb83/G/F7M/wUltvDM
+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUl3k4lV0bxSVJUqHSJIUGZcoYhSWVRplLekOGSKmUSkrJlEIl0YQURUiU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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUmnc4Vu8fx6UyEiEpolKaZlRm3soqIiQRLUqR0tJGEmmJrxFKRbKy98re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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell["case II", "Subsection"],
+Cell[TextData[{
+ "case II (",
+ Cell[BoxData[
+ FormBox[
+ RowBox[{"f", "=", "0"}], TraditionalForm]], "None",
+ FormatType->"TraditionalForm"],
+ ".5)"
+}], "Subsection"],
Cell[BoxData[
RowBox[{
@@ -4838,9 +8409,8 @@ Cell[BoxData[ Cell[BoxData[{
RowBox[{
RowBox[{"alleqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"alleqs", "/.", "params"}], "]"}]}]}], ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"alleqs", "/.", "params"}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{"sol", "=",
RowBox[{"NDSolve", "[",
@@ -4859,10 +8429,8 @@ Cell[BoxData[{ RowBox[{
RowBox[{"TableForm", "[",
RowBox[{"allcountereqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"allcountereqs", "/.", "params"}], "]"}]}]}], "]"}],
- ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"allcountereqs", "/.", "params"}], "]"}]}], "]"}], ";"}], "\n",
RowBox[{
RowBox[{"countersol", "=",
RowBox[{"NDSolve", "[",
@@ -4877,6 +8445,26 @@ Cell[BoxData[{ SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"],
+Cell[TextData[{
+ "Time dependence before and after the cell. ",
+ " Black is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse before the medium, blue is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse after the medium, red is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]]],
+ " pulse after the medium. Solid lines are co-propagating, dashed lines are \
+fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. "
+}], "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->10341135],
+
Cell[CellGroupData[{
Cell[BoxData[
@@ -4889,32 +8477,65 @@ Cell[BoxData[ RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"sol", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",",
RowBox[{
RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"countersol", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], "]"}], ",",
RowBox[{"{",
@@ -4926,7 +8547,6 @@ Cell[BoxData[ RowBox[{"5.", " ",
SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}], ",",
- RowBox[{"PlotRange", "\[Rule]", "All"}], ",",
RowBox[{"PlotStyle", "\[Rule]",
RowBox[{"{",
RowBox[{"Black", ",", "Blue", ",", "Red", ",",
@@ -4934,7 +8554,6 @@ Cell[BoxData[ RowBox[{"Blue", ",", "Dashed"}], "]"}], ",",
RowBox[{"Directive", "[",
RowBox[{"Red", ",", "Dashed"}], "]"}]}], "}"}]}], ",",
- RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
@@ -4945,487 +8564,488 @@ Cell[BoxData[ Cell[BoxData[
GraphicsBox[{{}, {},
{GrayLevel[0], LineBox[CompressedData["
-1:eJwt2Gk0Vt3/BnAhIUOZqVTmTEnKvB/fRCLpUVSSZCqZhzsz930iRWXMnMxk
-HuJJaSMRkuF2VKhQEiWUaKTf+a/1f3XW59U+6+zre+29znYHL0tnVhYWFv41
-LCz/94xmiQ6u/0FiH8mDaysDdCB4ytrrwhKJG+bJ5doEHfDskXPa+pXEevtV
-bJ6V6YB1Wof51U8kFpeIK903rgNyahzbT78hMf9rrQk1U114fCbqCftjEnf/
-I7NTXkoP1jRfEjoWR2IhQcObL9/qQ0gYvfKrLInXKMa6ygwZwIJ/e6O9FIlj
-ONEX+ykDcHLnbu+VJPHdFOAq/24Ah04lj5aKUuvBl/WeEgCbtUs4HblI/I/z
-eZM8e4Cmb30Og7ODeCTcmXNwHuCP21bRu3WD2LLV1zVB3BDCbXAEDQZxwvT6
-WpcsI5g8vLJpGxrExhdqBqSrjcDMUO9et84gPjU6Gz3fZgRiyvcXtmoM4h2C
-tFe1n4ygbqX+bLfcIDa/MCf1UdcYpnMqDLfyDGK7oMld28eM4eiHrHVdz5m4
-69pB+oSaCSj4h8RtdmfijLeCa1TZzODA88MrXzMGcNykU+3fwiNAS3Ph5L/X
-jzNvGnMnlB6DZNXf+dmdfXi82lOWn/Mk2M7W+JSuPMMGAvH4U6Ad8Ore/C2k
-24P1Ncriwg84AC9bAGtnSjc+zqYeUu7rDEqxE4YcfZ04QzcA5+m6Quo1U9br
-sk8wD9HdvUfAA2Ylx0N9I9vxVMtu05oYb7D3Wd31rrkN15/8wO9L+oKU/ian
-LPFH2MVExWiaiwasXS394xYtmPddRsTawABIeSq7uG7LQ7y1zCn11/MgaP/e
-gcaeN2LWnIEg7pUQUCsI+ttzsAF3btNnV1EPBy3DHffNftbitF3h0rvX06H+
-wDTf3MdaPPdqIViInw7qh4od41/V4mSV7K5FATooW8nyDjXX4mld9/3lEnTY
-dm67vd3lWqzppXaRXZEOXLHiHD6CtbhJ8+iKhQkdRphclikqNVhE3W2P0SU6
-/HpMDra2VeKhWzPSnl/pwJYq7HqtuBKLqQ1p1izRgcfVetU6thLvqI+Z//KD
-Dlt4XyrMWlbiCaFqcP9LBwOr0TCRtxXYJc5HYz8PAy6/n5B3Y6nAgi23vSNk
-GbCRYz5ESL8Mk/eIc0LWDJB4uXPj2LYybHq/fB3nSQZIlXoX3WEvw0o/Zrb+
-PMUAjcNf+1FPKS4LTagZPMsA65QlWddTpbixzlzhggcDsuT+9D0MuoPfxVqP
-SEQyQOEAl8y5hmL8YiMpHlHFgA4WCRDJKsbNbz84falhgON9Rbt2RjEOX600
-O3uXAdkqh9KkzYsx+7O2Ke1GBggLxfGMvyvCvN0Cyr2PGMA6IbR0YmMRtjhT
-18QYYsCr4G0dpu4FWA1928z3kwHBGrve/fy3AOcuPCV3/WaA6Byw3NEswJqf
-bvMeXWGA5VlHnXVsBdhWyGTl+hoCug4UVbal5+Mg5mrNey4CGoSUU/We5GFb
-18jTmyQIiKvUPK8qlYvlMuv3pmoRoPptQatobS5+oJn/KE6HgF7tUi7JmRx8
-Y0vWrig9AnjbN5fxVufgTrbCWhcDAmJH18zN6udg3k2zIuwmBPBtTPtgXZeN
-3woj8WJrAsyzuK8aB2djG5kEWY8TBFyTD1PcC9mYThMTV7MhgBs5eAj33cJe
-NPyw/DQBHG7Ki4Mfs7BenOIQ3YmA1cctq0ekMrFMa8OfRB8C9I/szjGYycBZ
-2pbC8n4EhI4Wglp1BjZznme950/Ary8xkfwoAyfpJB/vDyBgWdKKu/dkOqbt
-9G8eCSNgLnBG2CwhFW/4T/eo1VUCxpQFVIxYkvErR63VF7cIMImWebPSnYTX
-apwzWMgmoHpib1zDzSR8ZbQvfW0OAUTKqS/ySkl488D6G/J5BMixFNZzWyfi
-695vz5gUEeA+qIn6y+Jx1eJBb5ZKAoZUTOevXIzHTmJXsz9SRldscwDicX6M
-7cJAFQGSwaxrXSrisMeJG79TawhwMr95XYntBmb9OZG+pp6AhcX72Q2VMbjR
-y9/Y9AEBj0rGWBT2x2CnZUcLjiYCkk6zO6YPX8UDj855NVPe+8RcPpT9Kv65
-N++LAiYgLGO8CmyisUhXy8zLFgIOW6wVqJu/jC2NlFPCWgnYxq7oLxN1GReM
-lhzd+oiAxx5+Wuuqo7CwyPjqyTZqf4CjtWdtJP74uGFNeTsBr5YUpVHmJZwR
-JSKl3UFARalFVJXaJbybpdK8jfIRofSDiacIzM5f0Nb7hICUD0rM4zV0HHCr
-RuRRFwHns45odBnTcdmNvlDNbgJ88z4q0+5FYM+ki9N3KDfSwup1+MJx3Lmb
-z6KeEmC8Ob+jvTEYv0qseyD+jAC7XtaZF9NBuCV7gzuNMo3usP6jaBD+2XJM
-p5dyweT2I3wXA/DU7L7DAb0ENKUwfLcVXsTyd9pyn1AmTSaS1Ukalh8ZlxXu
-I4CtImfYWt0fa9SI42LKEmdY/pw/64cNvMwGZimrb7SXDIn3xVlMI8Gd/QQ4
-0LY63p7zxrfjn2wvoxwsHxFVs8UbB6y6fp6kLFX30CI63ROnaa2f2jRAAD1E
-b7jPyg1f2Bxty6BcNfZ7y7c6V/zpNWO4ivIbwwcOYgLn8ULmA8YoZb6S4GI9
-bxesutx+jJ1J5Z1HZ9a+1wmfV91tqUjZ3funWpSyI25RSAkyp5xF3qPdiTmL
-v7kR3R6UU3wW/DMHzuD726/tj6X8Tdtr9d11W8wmavKhkLIl61y0sulJbNRk
-VvuQck23+0YahzXuk1UpZFLekPQp4+EjS7yB51LzJOVXDaQJz+ph/O7pJMs3
-yukHmKduXTTBL1w+nmcZJMD6ZZ+n6jzgy5eUv3NRlmNmsEX07cUvPfaXbaBs
-8EHp6D6GNP5XtCdSiLLa8YBL73240WlRu0vClN27/GIkTquhvLKbRYKUvxYH
-Ov1w00f77vHN8VHWa0Nb3fSN0M5O55PrKEeoA8/IYzNE49Wa/kO9z0R/bqiM
-3L8o+qx0xjxlglN6cdT1GLpi1OE5RlnGoMA1qeI4uv222bmHckeA7LjpFxuk
-y10d3kD5XFWRNeseO+SyV7PxFuXIxaQp2yZ7xB+zLERQtoojc7XsHJDlQFyC
-I2U5JeHTQixOqJ9RqLqP8nKHldhCrjOauz/yaQvltNXnN4rfn0fhqbvbe6j9
-dM0QNb0UfQGde5Yzfpuyzt4Ta8/scEfRNS0S3pRHPYZDRDy8UBBb3cw6ys/Z
-r28KivZG0nZkWB+VJ2yp8tPlhA8yAeOdyZTj5jzu7vvlizjetkwLUQ7U40tU
-e+qH/Ba2LPRTebWPqfSSzPJHSTv8BWMoq8nNK/7Sv4h01JvKF6n8M09759Yw
-glCa/yGrAmpeysx6Jk46BaPptr+ZQDlSW0GK9UAIEnIsSxntIUBTeDzPkicM
-davOFa+lfHhKnhlkRkeVhs466tS86ry2+vqsiY5a9cS211PzLU9eEpBSZaCl
-iLEHGpRZHo1Zdm8gUERUF69iJwG1t1IHJZ5fQqYCgjKfqT7JTm5f9DwQiQKa
-XcutKMfGLgq23YtET7sUZu4/pvowyOKYW2YUGq2WoIdQfSRqtW7ogX00qlPJ
-kB2i+iyUJ+C57acYtIws7D/ep/qFrXC52jYWWcWMa0pStvrFFFnbG4tUTyu1
-H26kzrdp1eMV1deQXa/9mqL/qPy0Tb1Yod1AZrN5bCp3CcjXL3O3YElAJmEq
-5rfKqT7QfhT6UysBhZypiMsqIyBeY/havk8CmoyUiEkrpdZXWlfx/W0CelB4
-vvhyCTUP4o6fb7cnIv7PAVd0CwjgXJLwXIhJRkuVOxw5Mwk4tj3Rc6A5GR05
-GCgynU5ArjmXV+23ZOTK+XfpcRr1PYu+e/nb3UQawnv0LqZQ83Gc9PmxKwUJ
-V08tNyQQ0N94ncYynIq6RUPu1kRTeQtnCdsgn4nIXd+n46nzcbI0IOzLqUw0
-/C/TSdSbgF0v5sKY8ZmIn8YrlelJQPfO1+HJvzLRm4vejhluBPwZb6SL9WYh
-jvt5woHOVH4M/SK30bLR/LEXz6up81qIfdEobSIHSdvndG/SJ0CL77KAwWoO
-suTqrZXRJeC0mPjYB4lcVGtzOURRm4Ai5X8CNY/logDP5lrlPVR+rGJLn3fk
-ovkDaUPrVQiwKZLmFy7PQwI/Aob3bCYgx+TYy4SLBUhKvdbJ4AcDHlt+KNBO
-KkDM5nyvD0sMmLEN9pmoKkCfijrCYhcZoO6Tw71rpgBF9suUdM8xoC19Vq//
-VCHqurHDRvY9A6Y+RubyQRH6hmTbDw8wQOl6/YXY9SUo69ea6tBiBhj0RplV
-yJegpc6vR8gC6n7Hb63cZ1iCcEah4Y48BhAJy58FQkuQ5Wih9NMsBozc1PTJ
-mC1BqCB0cS6BAVeyGwPuPLuDDJzD/v4XwoDJqoeRT+LKUJNHzsGT5tT9jtme
-zSZUhSZ0zLOlZ+jgIe45Xz5Qi9QeiKq8EqbD4a5zGWDfgHIf+/i0yoRD4mUn
-M6PaRrR7WTgjXSgU2KU4I2MXm1DW9aikhq9BcEvyWf5r/RY0JdXqfDs+AD7W
-pnJWvGul8r9jZc6SBmLRw+pfytvQ5NMqXdpnX/gxsXl89ng76k1wkZRv84b5
-st0DV391oMB35+Qcgjygs741OrOlE3mntGi/PuUKlsb/tjqd70avv86f3jPg
-DFjkREve7h50//0bOQUrBwBrdTZi+RnabLmwFBtvBxc383WJZfahE1PJm99c
-PQnGCWqKiTX9aF3Q2/CQ7mNQ+sKmxu/yAKodnfTk/nMEMoY8R2SPM5GJhZHU
-3nQzEBDKvlZlw0SOga0WvRFmcNXyGdK2Y6LGZofGQBczCOxTyj/kzEQn97sp
-smuYgXXXtJufHxNdKxOb/NZnCgIPHVZa4phIgvSp0FpvCjEF1ttsO5moYMgo
-flucCQT7IZdE7UEkbKe7T/qpEfy96xc9pjeINBqKacR/RhC5XFKibDCIwpbq
-BBfyjeBGkOCnDuNB5C/Q77scagS5EdNev48OIra7rouVO42gMzYxyMlzEGU8
-G6vvTN0PIgVT1/bmD6JgMY04W19DqCNv1I3wkOjUi/RcbwsAh/pSyZgNJGrV
-mWM7pA8gkNJxVVuIRIyBYi5NJQDv46tn0jaRaJh2h6m7DkB1xIPHWpFEQ4ON
-bn+bDaBk7JDzwAESTSpw7D+nYQC3PnKLdhIkSr+XrfjnCIJDT+WIgMskspg0
-+x6khuBP2b7PcjEkqrK8Oym0AYGNR3BbVAKJRLo93uT26YPYwoyXYQ6JNm7i
-CxA5og+JS52d+CGJToRsq7Wy1gN4Prnbs5VEC6lt45maerDQwHJ7SzuJzplK
-vV8R0wOLQC1aaA+Jap3OKAq/0gWe38XbdUZJJG/+qeOGoy40jbZdm3lDogaJ
-M201Rrrg1jT2Pe0tie69yeRZkNeF7jDR3u8zJHJpMwM8qwNBdru1iz+T6O7I
-f9yH+3RA4R+LAusvJCoafvPqR40OvNzqxs+xRCJ6eGcRTtaB//+/gc7wMI7f
-DtCB/wFEHUjK
+1:eJwt2Hk0Vd/7B/AbMoVKFFKkDElSKdzYeZIhQySuMmeoZJ4yJfceIkOmZCYz
+mYcU0kYiJMKl6CNpEFISKZp+57vW76+zXmudtc5ZZz/v997r7LBzN3ZkoVAo
+69dQKP+7RlAiAut/MrHf7bXRx/ypEDhFc7/0nYltGq5z6yRSwa1XykHsGxPv
+jE/+bVdOBVpqp0HkJyYuHc+8NPqGClIK7DusXpM+fKi/W/cIPLa59oTtMROf
+4zLoa5dQhTUtoQImcUxcnEjjufxODYKC6ZXfJJl4Tcv1WtNhdfjq09FoK8HE
+vOWXDsZPqYODC3dH33Ym1hGgUEd/qIO+RdKr0i1MvK2ibTVZBEBUpYTTnouJ
+j7KnqT6yBWhe6rcbmhvCnC++n52YB/jtLLblbt0QLv1ure0prAFXzXGILwzh
+bwtTk1MZmvD+5J+t4mgIjzRP+eRWaYKehmpDD3UI89JLai61a4KQXNNXMcUh
+3Hj3gcbuT5pQ96f+XI/UEB4+oBFpdkQLpnMqNMR4hvBVk+ykq6+14PTHTI7u
+kUGcORObKaWgAzI+QXGiLoP4orqctQ2LHmiPnPzzLX0AJxqI8j0rNALf1POc
+6xue4xDbULfZUhNIkv+Vn93Vj8dd/ZMiOM+C5VyNZ+mfZ3iZzyorJsAaeI/c
++iVwpBdz6C7tP6ZtB7ysfixdyT14j+U4jdvLEfZET2qw93fhRgPvfpMjTpAS
+o8tyQ/IJLgzKTYvid4W57W+ueIV14JJodtfXUR5g6/l3/7uWdqxxIqXtHtML
+JNS2OmQKP8KCYZanlrh8gaW79fkbw1Zst+Bkq+rnB8lPJRc5tj3EM7filwxH
+AqDjRyeaGGnEIXjE59CfIFAoCPjXe+Iebg7v94o5cBWUNXY36a3UYrfqQxzu
+6+hQrz3N92W2FpuVpwifWk+HA/rF9vH/1eId7Gt2799EBzlTSd7hllrMvuhz
++JMIHcQv7LC1Dq/FbBpVz7Vk6cAVLczuuakW99VOyKTr0GFskMs4eW8Ndokx
+yMoLpcPqY+ZQW3slXrwxEPL4Gx1YUwSdYoorsetSw5O1y3TgcaL9pUVX4meO
+tlnHV+iwjfelzJxxJT7M5Jpt+kcHddNXwZvfVuBPRMxAJA8Dwj9MSjtTKrDI
+Nm3xKkkGbGSfDxJQK8PCKjbL3DQGiLzct3FCvAzrOI18Xj3DAIlSj6I7bGW4
+Oveo+7QFAxRPfnuOektxm5wPV/M5BtCSv0s6WZTijyz6bpquDMiU+t3/MOAO
+zrzKmjgRygAZba5dF+4VY5r+9c1SVQzopIjA5sxifL0t/1RKDQPsm2StOxjF
+eOcPKVX2uwzI3qufutOgGEvFG4iMNzBAUCCO5827IsxbH/3C7REDWCYFvp/Z
+WITNW62oO4YZ8F+geKeuSwHmq0l70fCTAYGK+9+tnCrAH8xaYsdXGbDlC1Du
+KBVgPWvlZ/9+M8D4nD2Vg7UAr/JRX6muIaBbu6iyPS0fxyvLCKdxEXBPQC5F
+9UkeLlkxXzcqTEBcpdJFeYlcrGjWftpNmQD5pa/KRWtz8bjB9PBFKgF9KqVc
+22dysGTN1DFbVQJ4O0TLeKtz8EN9jxea6gREv1rzZU4tB7/d/Lr1kzYBfBtT
+P9LqsvG6FX+dXBoBBpnckVqB2TgCpXY4nSEgRjpY9jBkY5PxccF95gRwIztX
+wf4sXHKDXbbaigB2Z7nFodlM3Dwj+jPagYC/j1v/Gklk4CpW8ekSTwLUjA7m
+qM+k438rWbNq3gRceVUICtXpeGb0Q22/DwGrC1Fh61E6/vZiOX3Gj4Dl7abc
+fWfT8CBVq345mIAv/jOCegkpOO5PymXfSAIm5Pj3alKSMP3zRz9KNgE6Ebte
+/+m5iaNiRR2EbxNQPXk47t6tm/hN0V6PfTkEEMkWC9J7buLxxukPxnkESFEK
+67lpiTjd/Z+KXxEBLkNK6HlZPN5YiIUOVRIwvFd3/vrleCw8ebVLrIoAdN0y
+ByAeS9/3jeeoJmB7IMva8xVx+N6Y4oW+GgIcDG7d2MMai/d+stqpUk/A18Wm
+7HuVUTjwXZ038YCARyUTFJnjUTjPP80TNRNw04rNPm00ErdNNNJ/kD78xED6
+Clsktn/IOmCLCQhOf1MF5hF4ZtxAfkMbAScN1/LXzYfjMfeU0rukxdlkfXZd
+C8cby18r0h4R8NjVW5mj+hq2ucr0jG8n1wfY23rXhmGp09eJyQ4C/vsuuxNl
+hOJo6gd7t04CKkoNr1UphOJkQ3mjn6SNBNJOJFoQ2MWIS4e1i4Dkj3sGzWro
+WNy9uPR7NwEXM40Uu7XoOKtecvRSDwFeebNyvg0hOK+pdP046Ubf4Hoq31Us
+42V/s+EpAVqi+Z0djYF4pGz+k94zAqz7WGZeTAdg3buDRDFpX7rdutktAfjJ
+kUpVSh8BBe93GPFd9sOsw/xCd0g3JzO8xAsv49Xof8orpJk6k0kHmL74CU95
+kFY/AawVOaO0Az64fIzf8SVpERvK74vnvHH8v0Prtj0n4MBG2+1B8V74ePbs
+gDVpO18x+9tfPHDjrsmWUdKB0iHXarZ54GDRhCn+AQIk6h4aRqS5YefKSrkT
+pOlBqqP9ps44cUlwcwXpqolf25bqnHDO8mDDGOnXGg/shPgv4nH59wFrB8n8
+lAQWq3qcx/PTbGf3klbjoc7Z9jlgQeEFU2PSLh4rCtfk7PFZS0cPH9KZzAbf
+O1HncPPP7SU3SSd7fvXJGLDBtuOvfleRXlJx//vuhiVuyjN36yZtzPIlQk73
+LG6KMv89Qbqmx2WjLzsNr9AzihZJb7j5Kf3hI2P8WeS1C9sQud73mDo8f09i
+vtR3J/lJp2kPWmRd1sHsb131t5Gmvex3k58H/CbmqKMkaanBdNaQ/sN4/4ut
+abKk1T/uOX2MsRPrlnZ+lCOtYOYX+sGTG51PZzv1P7t0e0eJWCmgvql0pgzp
+b8X+Dj+d1dCmQEMvCdKq7UjMWU0THZqd3i1MOuQA8Iw91kPd/vK/eEhPPs+9
+skvqFFLaNP3hD/n+BOfOxVdOJkihzeTzJ9K71AucblaYoX13k3e8IN3pJ/lG
+d8EcRd/qDWshfaGqiMZyyBpxGLBvKSQdtnhzyrLZFok7mLyMIG0ax8xVtrZD
+HOxdXRdIS+0RtBKgOKC0f17Tx0kvd5oKfc11RGYtF5TESKf+HYkt/nARGXoH
+2T8l19cpfYtuaMQl5O3ySD2LNPXwmbU2u10Q/VC+gQvpV66jQZtd3VHd/sjl
+NaRH2G5sDYjwQFm+DxK7yPnCxntXzp/xRLOlk9YxpOO+uN49tuqF7FcvRawj
+7a/Kl6jw1BspKlDed5LzaxtV6b490wdlx372CCGtIDUvu6p2GVnOHhGdJud/
+0Mojt4YRgKrtGh6kkPkp0+udPOsQiNTie9sUSYepyEiwaAehDTK/A/p6CVAS
+fJNnzBOMChON1vwk83hySnowQI+OBla8PXaSeaWOm3571kxHTeysPEVkvqWZ
+ofwS8gzUvoXbQpI05dGEcc8GAuWJHBUQIfugNitlSGQkFO0Rq/j5iuyT7KSO
+RTftMLS31vrQcdLR0Yub2hvC0LYoUek7j8k+DDA0cc64huLupMg6kX20xZRj
++IFtBLIruHe/rZXsfx6/EctPUajw7ZPtw01kv7AWLldbRqM8nZInnKRNVwc3
+r+2LRl3cDrtVGsn9bVrerKI6BgU1hgjF3yfnp33qxR/fWBTUtVy++S4B+Wpl
+LoaUBGQ8vX8+vJzsA5VHV1aUE5B+R7V2eBkB8YqjMfmeCYgr6b4VUUo+fw9H
+xY+3CcjErqjdo4TMg7D959sdiWgsgkqXKiCA87uI29eoJLSpOptzOZ0Akx2J
+bgMtSchP/JTISBoBuQZc7rVLSejUfVHzulTyexb9cPexvoUqvZQcHZPJfJgx
+PX/uT0a5JjK1xQkEPG+84UsZTUFpZ8LcCiPIebtKCd4gnYH8NCr7I8j98X2p
+X/CCRQYK5/qjzedBwP4XX4IH4zPQZWn7lQQ3Anr2jV9NWs1AoeUUrgRnAn6/
+aaQL9WWiyo/eU66O5PxoeIeJ+2YjuwrJ2HxyvxZgW9RMncxB1ZMh0ZxqBCjz
+hfOr/81Bygkbdmw8QoCVkPDER5FctCmiKH2zCgFFckf9lUxy0VutAiR0iJwf
+0+jSkc5cRPOxdF6WI8C8aOd6wfI8tPV0raOYKAE5OiYvEy4XoIpfup5y5Pnm
+sfHHApWbBWhkLvDt0HcGzFgGek5WFaDMTh4b/0UGHPDM4d4/U4CMma4hDV8Y
+0J42p/rcohD9Yv1CF/zAgKnZsFw+KELrbZSKNQYYsOdG/aXodSXoa7p7fkAx
+A9T7rulVSJcgK26jqoEC8ny3nibXr1GCPG1OckvnMYBIWP7Mf6UEZd/Atd2Z
+DBi7peSZPleCpCbQwpcEBlzPbvS78+wOes3+93hTEAPeVz0MexJXhtZdbrW3
+MiDPd4Md2awCVcj4Ojtt+wwdXIXd5ssHatHStI9TsyAdTnZfSAfbe8jnNrdQ
+366rkBjuoKdZ24iMLsUGJQlcATYJzrDoxWZUYbKjquVbAGRtf5Y/rtaKBvga
+1a/H+8FsbQpnxbs21C0R/mvZ2BeEIkYPLJS3oxv38xYyP3vBz0nRN3NmHYjh
+cvbp1nYPmC87OBC52ol+7Z0rSAhwha76toiM1i4kXqgt/9HCCYy1TrU5XOxB
+5/LdgiQHHAFvPtOad7AX8anSD7Gb2gHQDrASy88QFns/wIi3hsuifN1CGf3I
+uuclIyPyLGglKMgm1jxHwgp7/1j3mEDpC/Ma7/ABNHSllYvy2wjSh93GJM0G
+0bx9ogwjVQ/4BbJjqswH0Vrv3a+FQvQg0vgZUrEeRG/nlba2O+qBf/+efH3H
+QTT8K57L8KAe0Lqnnb29B9FSkFqXRr8u8D+0+9MaN4gSVTvOpHHrQlQBTdyy
+i7z/5cVTjbE6EOiNzieqDCHesUcKSz2a8O+ud8SE6hDS4uC5a3xfE8KWS0rk
+1IeQ38WmsJZ8TYgN2PSpU2sIpeadWWy/ogm5IdPuv04PoZ15J0747dOErujE
+AAe3ISQ7+4WNSDkOmwumYg7nDyE56Ttr2Lw0oI4ZWzfGw0TPvA0X9hsC2NWX
+bo/awESZst/DeNUA+JM7I1UEmKjPzaHvpyyAh9lfm9StTIRX7C3+sgPIj7ny
+0GSZyGyRXf9xizqUTOg7DmgzUcVPebaDiuqQNcu9pYtgIuN1bv3VRgj0n0oR
+fuFMJOt5d2afAoLfZcc+S0Ux0ePYVc7e9QjMXQPbryUw0R3EWGfRrwZCX2fc
+NXKYSH7ppcCgoRokfu/qwg+ZqLtX59smmirAyPuDbm1MpHhSNcdcSRW+3qPc
+3tbBRPNNVNmHQqpg6K/se6WXidZ3rIscfnUEeH4V76C+YqJ+iwtep+yPQPOr
+9piZ1+T7/TdL8dU8As7NEz9S3zJRCU4crZM+Aj3BW/p+zDBR9Phr8dA5KgRY
+H1Qp/sxEneMWzpv6qSBz1LCAtsBE5Z2V93ENFV6KOa9n/85E5yWGF8OSqPD/
+/zfQQ7Mh3vN+VPg/C4lOCQ==
"]]},
{RGBColor[0, 0, 1], LineBox[CompressedData["
-1:eJwt2Hk0Vev/B/ATQpJKKqlMGQpJcjNcnnwos7g6KEoyFJGSecpMCGcfMpMp
-ROao3HquEpkynLNTUiGVIUlUoui3v2v9/trrtfZ61tp7P5/n/fmsLeFw0cKZ
-g0ajbVtFo/3vGkuLDWz4SeIO2+ONPPMGEPjR6uL57yT+NhAmV7DWEDy6ZZzE
-5kg8HeezdFTKEKwy2kzjPpF4n0/98LilIcgocUucektiv44tohuaDOHJ6ein
-XE9IfPRAgseRGCNY9V+kED2ZxJ2XMn1yFE0gKCSsak6axCVJkxbkIzOY9W69
-by9J4m2aYR2X35mBkztfa48oiW1lP/mlrTIHE9vUofKtJA5ca6gXKGkOO9TL
-eB3XkHjQI/DspJM5PPjW68CeZuNhx6AB92lz+O0mtvVOPRvrCT6fB24LuGKD
-Q32AjYM7pgV+nqXD+6PL28URG9+eSVUuD6CDsa7mvU4NNtZY4dM4f40OwgpN
-s2IqbNw36yIkVEeH+uWGM50ybNxShVnrV+gwkV+pK8bPxqhPTacywxKOjefw
-dAywsNCB7YeqXlrBbu+g5B3uLGzY9t1MK/oE6A8cXZ7L6seS7HsqPwJPg0/G
-Wd719/pw7qn58rZER0hV/FWU196L1Tk7man15+DkdK1n+fIznP4Pb/KpEXdY
-9/f1X0J/d+O32mP+zZaesI7Tj6M9rRMryIud7rDxBvmEUV3u3nbclJHCVljw
-g/RrRhyJ0k/xVibIRhUEwbToSPDlqFY8dmx+0scvFOw9V/aP/deCfQtFJs5P
-h4Ok1nannG2PcXHPjgfWfFHA0dHcN2LWjCdW7xF1PB0DaV3S8zw7H+Kbn00d
-+kquQutCGxoeuI9lbT5f8rkXD0rFAX+6DRux7DGT80WD10BNd0+T8WId9pfy
-PjtRmQQN+hMCM1N1eIfM6QD3hiRQNil1ZLym7rs2Nk4/SAIFS+l1z/+rw12r
-5vJHu5JA/JyEvV1MHT52IKs1ZzIJ1iRs4/bcVIfR2LNhulQyvGKtsUjbW4ur
-NKLe1qQlw9ITkv2I2pzOghM/jFQZwJm+2fVaaRV2MEgu9NVgAL+r1YpVQhX+
-U/1xfb4WA3aue7l72qIKV/G8kZ7WZYC25VDIlneVeGF+J7erOQNiPozKutEq
-8UPXNax5FwZs5P4SJKRVgZcNbpccymCAyMt9G4fFK/BExWSXWDYDJMsvldzi
-qsAVc5/il3MZoHJ0rg91l2N9d53e2iIGWKV9l3a1Lccj209pL1cxIEfmd+/D
-gFt4/Mc5JNrKgN36a6TONZZiweVH8cFfGNBGE4EtOaW4Tb8pZ+QrAxyb5Oxa
-w0uxTreQi843BuTtNcnYZVqKG1Kcpf/8ZMBmoWT+kbESrPvg/qZTHARwjAp9
-P76xBPef14m/JUTA60DxNiP3YjwY3MV/RZWAQJX9Y4v/FGOOM0GH09UJ2DoD
-tFuqxVgh8OD2qr8JsDjjqMHDWYxzPq8uIA8R0KFfUtWSWYQtNxZPcxkQ0Cik
-kK75tBDnpkwHfLUmILlK1UVRsgBvFajbP+dDgOK3WbWS1QU4/7dszJgfAT3q
-5WtEJ/Px7B/iXX8AAetad1Ssq8nHAS/cKm+GEJAwtGpmWisfG40GOeyJJkBg
-Y8a4VX0edpJD3PkpBJjm8MXpBebhW/mG+85cJ+CabIjcQcjDdcxVDmLpBPAh
-hwube3PxLdfNn5hZBHC7Kcyzp3Jwkb2Ss1UBAStPmlfMJbMxPYfeZlpFgJb5
-gXztySys6S4jOVxNQPDQTVCqycLBL5/7XKglYOlrfNR6lIVjHrj/CbtDwA9R
-S76eE5m449uiT2QTATP+k5uNiXScbfeg7VsrAcMKgnuP0FKxrZ1ud+grAgxi
-pd4ud6bgnvr15ZlDBNSMHkxuvJ6CTwss45rXBESk2X6VlU/BlSd3xQ+8JUCG
-drOBz4qJ4/M84mljBLizVVFfBQM77ubt75si4Pleoy9XfRk4oryFgT8RgK6e
-zAdg4GKbj8xb0wSIBnKsPluZjC3SFW39ZghwMr2eKM+ZhDMdr374+pWA2fmm
-vMaqeFwRgfY7/CTgcdkwbffheKxQVH9v1yIBKae4HDMH4/CR7DW+7ygffGoq
-G8wVh/29jJOtfxEQkjVSDTax+K+SWRnxFQKOmq0WrP8Sg812Kxt0URbnkvOW
-io7BRgeNM73+EPDkgpcaT000ThdY2/4vjQl8wP2oe3UUrnHeoivHyYTX3+V2
-oexI3Ffs1IMpV5abRVcrRWLh+bJIcy4mmAtlGjJtI3Au5z5Xt9VMSBuXZ1nX
-huG7TZv4Q3mY4JJjrtKhF4Z52mdZvylfLpxS8LkXimWl1mI/Xibc9wlp0BC4
-gs3uyK44rWGC3o6ittb7gXiVmbfgzrVMsOvhmHwxEYBXFz2bDKfsE+awdmpr
-AC7niP49Rrn4vYS5gK8ftr7vO3+DnwkP0sIvi9/0xbmDph8XKZMGo6nKpA8+
-W2C0+591TOCszB+0UvbGR/qfpi9QFjlN++1yxgvb8xx7oifABOWN9qJBjMv4
-Rvg2lELZwUfM8cbMJRxm771Vaj0TAmVDo2t3XsK65sK+LpQl6x+axWZ64HXZ
-W8TLKYcFaQ72WrphzXF9uvQGJlQP/9r5rd4V39BIfmNH+a3uvw7Cgi44K/FE
-zXXKWvwa0/Y9TpjmVaL0i7L7pUWlaAVHTNut82bPRibkkPd8bsWfwackU/ot
-KX9Tv7gylngSRw4kJt+kbMExE6tgdAJrJ1oe76Bc2+m+0YfbCo9FCpyborwh
-5VPWw8cWOOOQ4b+8gtR+NpIG/CtH8Zl3aXQpypn6LNtcXwNsJx+nrEXZ6mWv
-h+IXwNJ+dfRjlGVYWZyhvQcxd/PNprOUtcflj+mE78Ln8344+lFWsvaL/ODJ
-h3gN1c2jKbt3eMWLnFJCFtc5QhmU50r9nX66aaHKhfEvGZQ1W5CYm9YR1BoZ
-WphHOVQZ+F89MUaT06fTCiiP9hUES8n8gw7HiHf9zxG8u+aHXOkIdE9o36As
-pV3smlJpjTrvFn7PpNzmJz1i9NUGFQunTRGUz1WXWHH8ZYeq/34mGks5aj7l
-48kH9kgv4x0RQNkymSxQs3NAMfqeuq7/ez/5zaeEaE4og2vzASvKP9oshWcL
-nBH/3vP22pSfOqSxu3TPIfFH67pkKWesDCSVfnBB65xyL/NTds3aahQZex45
-nbxrNUN9b42Dx1ef3uOOTFOXfJ9R5mNlNGt0XUDvM7nZtygPXRgM2nLhIgq7
-EXQ+kvIAV+L2gNhLiCd4SdOGMrbYu3j2uCdSrZAyUqScPHPhjs7SZdQvx7Wp
-h6oPf00BplKXFxqp/PMsk7J9fNVF0RxvFD6p/NiBspLMF7klLV+kKUTSp6l6
-FPZO5p0Q8EM2rolztymverzv4/NhP7RHS6L9PGXWqUsFteEB6Kd4qeFbqt4r
-jLtHTzgFojWtr4lEylHquyU59INQashMpTpl1c0jhRb8IeiHfNKZq9T52cCp
-ObY0E4JuaAouylGemk3fVdR/BeWn2zl1Uufv6EdZVoBxGIorPdL4hzqvGm8s
-5549CENdf73JuU5ZlowUlFQMR+jRQevdlGmPhy06N0SgpS5l/cN8TKjLTWeL
-DESi6mmmkBWVF3mprfMe+lHozl3/TBaVJwkJ85ta7kWhMh/NOWPKTgFmdLfs
-aDQ7FCT2FzcTtlryPP/XPhaxjr52HaXyK5jfb+Dkp3i0+sRyewGVhy6cN3/U
-nExAO8P4iE/LBFgusbas7klAZ7379ipTVpxQtK6suYYajIc+NFD5Otry8cWy
-TxJ6re1ukU7lc5FWhbsZjUDd5/RUHlP5LaL+OHhRjUDNKYnHBmcJYKgMXivy
-JND3OR3Dz1+o/iXPU7nwjkC025H31lL5b7XN8fONViYSuyNQJ0n1D97vIh6z
-8aloZ4ZE0/1RAugSTI/+/1KRUHlhTO0IAQWmay7WfUtFwyIFWSXDBGiULFz0
-truOMnRMs6++ofqRNen5c38aclbnXq8wSEDf/UQf2mA6WvVzzaGvvQRkXKGF
-bJDNRiqqNS/9/yXgfblfyFfbbDTBjetEqH65/8VMCIuRjehxEuP37xHQue/N
-ldSlbHTYw+3MbAMBv0fuhwn35KCkL42VWjUE2Ot6RYn75KFfrUoqNsUECHHN
-H8kYzUcmDR3mN+IJUBOIEdReyUe312ZrdVwl4JTwtuFxkQKEXT7IzsYQUKJw
-yF+VXoAaegZ/qkQSoGqZUD7QVoCuFmwrywoiwKZk1/rNtwsRchbY+cKNgHwD
-+kvCtxiJ0s8nbTei+pfFeLF6SjEyz98nOa5PwOTJQM/R6mL02MiVrD5CgLJn
-Pt/+yWKksRCToQYEtGROa/bZ3kT5XEebZdUI+DgVVSAAJWhVlqvtFWkC5BMb
-ziesLUOJoqO1W1aoebMn2rhStgz1ZnJ8S/1FzYfrrRR6dctQ+NRw9oZFBkQQ
-Pz4LBpehewLfJWjUvPfquqpn1nQZWsxqkG+eZMDVvPt+t57dQkr8kcdbSQa8
-r34Y9TS5Ak0L/KP/uYyaD1mteZxC1ahE7n32b0MGiCm0LWgrVqONBuNmQvoM
-yI9uM79iUI2Km5l8cocZUKj2lGMxuBr1eZtkmiEG3MxrPzvzoRpNHFTXiVSm
-nq/BOX3atgbtebdqLlGEAXbhLqdf7K1FESWDxd6sZLiwzePL7f46FOXLz/Dj
-SIajHeeywL4Racyqh09tSgRmjJPxkbr7iKPn5K4z2xOAS5I3KmH+AXISu3uH
-tSEOckWfFb3Raka2c5HKXU9jYKounbdy7BGavqgyP5MfBcKxg8pfb7cgUdZs
-+dpjEfBzdMfItHUryn+bbGWgFQZfKg70xy21IVmOVuONKcHQ3vAoNru5HTlv
-CIh3zPIHC71/Hjm5dKLU7Zqp4Yo+gLccby480I1e9xWpjvR6Algpc0b8eIbo
-ISPcv+9eAN8dAh3C2b0osGeHqOagC+gRSnLM2j70ckVTLAE5QfkLm1qvmH50
-08xUoPaaPWQ993glbc1CGZEzR8gJGxAUyrtWbcNC8yNquZJ9NhBn8Qyp27GQ
-D69KScRdG/DvlS8ycWahy3w3Gv1ibMCqY8LNy4uF9pYeVP5Lmlr/0GG5OZmF
-jLbVM346n4D4Yivxk+0s1LA8Ier/zRoCvdBZpjobWbC5hhZ0LeHPHa/YYU02
-+v2JN2VYyRKifpSVKWizUbEf19/Pd1pCUsCmT216bOSp2q09tUCHgtCJi7+O
-sVGz9v4LTbfp0J7ADHDyYKNGCa+Mz8J02FL88drBIjYKUynrdfhlAfVkUv0r
-fhKpbdOO4Bw3B4eGctH4DSRKInmOn3huDoJpbXHqQiSyNlk4jlvM4ZL1yumM
-7SQKeBNW15BvDoqvLvBbyZGo5KLBm+O25lA2bOLcr0+iGFd6E7vEDHKn+La2
-R5DIVd1x31KOKZh0yUT4xZDo8BblreYhpvC7QuezTDyJZt7M6zw+ZQo2FwJb
-ogkSRdtbSP8SNQXh2cmLuvkkSudeb/aw0ASY39vb8UMSqXc8XfKoNgYYeH/A
-4xGJJC2O1IQSxjDbSLuxs5VEm1Mkz1V4GYOZv5pPcDeJLv1xTD+mZgz8v0ol
-NIZItKJXo/rhsRE8GGq5NvmWRIw0vLf7phG4PRheyHhHoncX7QufXTWCzpCt
-PQuTJPJ31WkTMzOCALsD6qWfSeQmu0K/pGwEuw+ZFVt9JdFi1WGJoc1G8FLM
-bT33dxKtLnwjYr9oCP///wXVpabu//PaEP4P1Yd9rg==
+1:eJwt2Hk0Vf33B3AhSahEhFQKGZM8GeKTnZChSFxPkmTKPM9DSWbinkvmZMqY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"]]},
{RGBColor[1, 0, 0], LineBox[CompressedData["
-1:eJwt2Hk0Vd0bB/AbKrzKS8RLkTJUhjS8GWLnoSjzXFSSWabMQ2b3ZIwMIUpE
-6JoVzbsiY2W49yKUITKUKWMp9TvvWr+/zvr8sdfaZ+/n+zxnHTEbD2N7FgqF
-wrOOQvnvGU2JDqr5zsTG/k//ZLcegaAxc4+LS0y8hefCvM3YEXB/K2knOs/E
-x18LGAOLCphnNurFfmVipzjOtGPKKiApv0Hs3AATqxcl1zmUqMDr80QT22sm
-Hjgk/EkyRRXWvYjiM01i4j1n5CUoXkfhckh4+bwEE7sE20qpvgCY82l4bL2T
-if8Ysuk96QSwc+VsaBNh4vzRBD+tUQDdM2n9NAEmdjwX+CuZQx22KRWz23KQ
-6587jE2YqsOzxXYbxhQDP19t6iycUYdfLqICD+4zcIDB9dvFcscg1BKH+QID
-F/PMNKx+0oRR/TXhHYiBcb9MwLHvmqCjofKoVZmBxe0mzXM2aYGgzJM50UMM
-nHRJ6VmkohbcX6u50CrJwG92Z3FxJ2nBRG6ZhigXAwsrPKCrHD0BJuM3N7Z0
-07HKi6lcidKTsNvnctI2Vzqmssd4LT3WhcpXByZ7nOj40LL7Vw6GLihxf1FP
-tafjxBd94/umdEGbdnqZ4zwd555Lj6sU0QPXoX/PrRjRcZS/lAlB1YNK3bm9
-dAU6Tnue0hJlog+KEvaN0ax0HDBVepf9jwFodeuvzWd1Yu1CYYuxRiPwzXRg
-537UgTvD7sf8s9cc0uR+5uc0t2O2k1o3ZZcs4exUlSdt7R2+6NYefuOyNWw6
-cv0n35G3WDg15VvMB1vYxOrP0pzeirOu7KuLdnAE6fhhjQ3tzTikwT1Ut8gF
-MhK0Wa5KNOGTPIK79/z2gCmRoWAvagPWoH2X19fyAmvP3/tHXtTjCmPhDaZj
-PrBTVdju5j91WHKWde61lz+wtLzsGDJ4iavtD6rpaQZB+huJhY3bn+NfHxzV
-aJtDoGGlEQ12P8YJtFK37KwwkC8I/PP2ZC0eOJifMy4aAYoae57o/KjGgvhh
-0a/jkbD6msl4VV+OxX1vP/5kGwWsGfzOCUXlWM25uXrZMQq4nM1/m8eXYxYu
-GyF21yjYvun97injcmxrdEh6l08UqJn1h2z9VIZtuXy4lalRcOXzsJQLpQwb
-P7pXP5EfBTwbZi/zqZZg1msvxZSGo2C3Foe4Y20RDmJlCluaUKGRIgRbbxbh
-ix+PpIWbU8H2yV6rhogiXKHk4FBgQYUcWd3MXXpFmM9rI8/oeSrw8yVxDY0U
-4t6lcn0NVyqwDPMtneYpxHy8UmNhVCp8CNrRqO1agK+peS9OVFMh6ND+kR9G
-BTiFM1LwUQ0VBGaAck+hAOunf/KhPqKC8QVb5Y2sBZhVS7+DD1OhRauwvP5G
-Pu580Pd5SwsVavlkMlSa7uA/pXaycQNUSCpXcJLbmYdbHlINdTcSILc4p1i4
-Pg/nsulJLXIQ0KZE4xCZzMUCFgJhmVwEbGrYVrKpMheLU+fvdfMQEN+/bmZK
-NRdv0KTV7t5GwGaezHHz+zm4oSdmTUyegN+vX/423JmNB30YhRfNCFA1PJir
-NpmFdWUHP+eeIiC4/y7IV2ZhB2/uOIYFAavf4qjcKAtn0uZWZa0IWBYx42yz
-uIG79Oz0HzoQMBMwya+TnIF/JqwdEfInYFCGV/Y4JQ2HLihb8l8n4ES0+MBa
-ayquiKyzephOQOXw4aTa66m4Se0zt3kmAZHpZ75JSafiqCOlXrHZBEhS7tZw
-mqfgtKXOrc15BLgyFFBHyTVsLT0yXVRGQJes9myM3zUcOSOkwF9BAIo5mwtw
-DSeK3lIMqyRAJIhlvUNZEu6y+n3+5H0C7PSuX5VmTcSMrOYdtY8ImFt4klNb
-HocbU0085+oIqCsepOw+FocNpfUe735NQOo5NtsbvbE4/WlX0bkGAg436UkF
-s8XiC99VfJ43ERCSNVQBltHYv1y61PQtAZyw4dXb9VT81l7k3hCTgA9Le3eh
-7CisV2PS+6mLgDKaAVEhH4UpMdy3h7sJMOS7cTLlTCTu3Tg/xnxPQPq4NP1U
-VTjOP+mhk/KBAM1t+Y0Nj4OwWMvuSMcRAqzaWCZ7JgLxnN3pbLlRAnzDbf76
-IhCIlXe5np0nXTAqZrjZzx9fydWgXBojgLUst9f8gA8uYBTaHpskQOg85ZfT
-BW9snWxq9Y30AR5rkcvXvPDERi3B7C8E2PiK2t6euYQzF3maRr8SEH5Zpbfd
-zAXXFG76ZThDQMXgz+2L952xmyztwwjpAY2nNoK8TthZ/Z2f9yxZP1zKU9Zt
-drjNqosZM0fAopLH75GrZ7GXiIV4wjwBxiwz0TLaFvja6LXnbAsEVLW68vhu
-MMfn9TBnEOkPtcwTXL/1sbL8UWy5SIDauLSJesQufOnzZ7/FJQLkT/lHffbk
-RBm29JvGy2Q9tHjHCZ2TR2G1Rp5lpFXqkaiL6nE0YGq/y2KFgLADwNX3WgdN
-P7j35x7p4Y68YHFJI9S0ZTh6hbS4WoFzatkp1C+UfCPmOwGN/hJD2t8skV3D
-C7G3pB0rCs1Z/rVCyj56Jlw/CKAupI6dfWaNzDZkyJ4kbZbEzFO0skFpQqsV
-kaQlpfnP8VHskNLfXb2PSC83mgnO5dkj7Y3RtK+kM393JxZ9dkJxanOqWqsE
-OGcJaEdFX0RNcc5/PEgrHz69/vweV+Qzrmp/nTQnPfOl8hs3BNDh/pB0v1vv
-5a1uHkhXkyrcTbqb7apwYPQllOuEL34jjY1lfzic9kQ3B0bOcPwkoDD3Xbfp
-Hi/kkm85s5100ozbA/VVL3TJP1ZsH+kAlc0p8m+8Uf1Qz6IKaeu4cg+Rmz4o
-WbrcUYv0iff6elxuvujORd9AfdLykrN7V1X90HP/jD3GpAV9ktgnNvujbYuh
-/v95Xd2+sa5Bf2Q/lG9jQPoLd0d9fWUAYul/u3KCNP3cpbyqiEC0U0sEjpIu
-0Xk7bGEXhA6/W/olT5qqtHsni9ZlpFuq2SNC2kqKakPbE4y+en5oZyetwD90
-x5grBB2/HzU2Q77v36wqI6szIch+E6dwJ+kvcxm78jtDkb0EcqsgXT+wYKvz
-IAzdKZ79EEtaf0yKHqgTjqZ1Z52t/zvvj2bz756Fo6cdm/kOkpZiRvHulItA
-53/u6F9Hmu9N1QG/2xFI/tYP/Ja8P0rdoHHr35HoXZLbi1TSU482eYtERiLV
-WuMP5qR7K46kei1EIrm1MP6tpKtvZTCEuqPQo44tH/6rr5y0hgV3LSoqdpJ1
-ViEdH7+wpf4RFe1TXOKZIuvRLtDA1CWbQCrs62qPkja6FOLzgusKEnemVI2Q
-9Y0cS9K2hF5Bb+rEm6JIC5ht7HpqHY2sblkde0Tmg0333yVuejTi7FMo0SU9
-p27Lb6cRg2yin8t8JPPUKv/CjEsyFqXKXwibJ/MWzOXfffZrHBp1OGk9840A
-J9a7y5Vn41FFKL5hS9pslb51fVs82qIvNs0k8yw3IXeqrDIBqdbYDZeQeR+u
-H+tZ801Ek9Kbf++dJufRE77vRuOJaE6Kf33EFAFPqtQFC08nIZ70RAkG2U9a
-DQxkirZfQ8fVK6pdyH6Tr1riakBJRrfuvPzlNk72J6W64B+KyejQVde2ArJ/
-XTvUm5DvmYyGQ0we93wm9yu9sWzlUzI6uNzat5/sd+b/2E7fbkhBig17/B8O
-EcC+JOQ+F5eG9nZ43+HoJcBULMW980UaCotz0OEj+2ueHodH9WIaUqbX3RTu
-Ie+/cMXDx+o6EniWrryD7M+up5ie3/eno3meaY91nQR0PL7qS+nNQEMTDFnx
-ZgK2jbH5DW/KRHXrN2b8aCTzyxvsV6eeiUazfSvfkPOBxeWiP7U0E2V0b1m2
-ryfg0DatQPbwGyg8brTPC5P5D6WE/C2VjebKXkfMkPNolOYf8u1MNlqbmZFN
-qiZgf89MCP1aNupaG02RqSLPa9/H0LTVbNRh4RV7rpyAX0OPwwXbbiLU8lUx
-s5jMq4Y3dYdvDlJMCtrpeZOsV7aF45nDuaj2YvDHmggCFDdf4VX7nYsirPJu
-NYcRcE7wn8FxoTwUYGN7uyeE7A8yRwMUTPNQu4+m65dAMl9m8bTuxjxEzffS
-GfEkwLJwFzd/6R3EoVQstusCAbknTN8n+xUgjk/W7iMqBLw2Hi9QSi1ALQFD
-BeHKBEyeDfIcrihAq3tm1IUUyfnimcu5f7IAVQuWPlE/SObxxpRKx5m7yKfk
-wBOnPQSMfaHmbYZCtM7H6BUHPwHSV2suxv9VjBBPpyRtkgpqbYROmVQxmuC1
-Zhsdo4I5t7lMu0YxUtAoui40SoXI5OVp3uBidDzxVG8I+b3Ud13BM2uqGD1Z
-/Zd7O4MKMTmP/e+9u4fehz6+8uIpFUYrnlObkkrQ6ikr09tx5PcevSGHla8C
-pfbT5kVFqSAq07iiJleBMjJdF9uFqZBLNBqGnqhABspf3EIEqXBHsYnlR3AF
-EmuQa+vgocLdnGaHmc8VyDiOcLdgI/dXY58xdaYSlfxVRl2YiAKrCKfzPbJV
-SK9ertmsMgrc/nGfLe2sRj57JeL3KEaBfotjFljXoo/3pN//JRAJKVfsdI5X
-P0ZJMZtFLkyFA9tOdmr8wjNUHuB8ac0xDG6JvMv/qPoSTWc/K/IuDIYv1Rns
-ZSOv0IPU7+F/2INAMLr3wLfSesRot1DeoOAP34e3DU2dakCRhzyqQu/6wGzJ
-wc7Y1Ub0vuiKubeyFzTXvIrOftmMQNhkq0qkBxhrGr2yc2pFn4sGUliUXABv
-Pf3yzsG36Ffug6GuVQcA8wOskcvvUII6i6EqsgW/bZtbBLPbEb+lRqmrhDVo
-JsvvTanqQN+Wq1reO1kCrceyyvtKJzpxWFeik2YGWV3ufRKn6OjYADSgMiPg
-5ctJqLCkI8rDxl3at4wg1vgdUrKiI8Wg/lrrq0YQ0C6dr2tPR7QePdcKNyMw
-b5lw8famo5qj/1TQ5cj1z23WXibR0XeTnXay9w0hrsB8x9lmOqrv9DE+GGMA
-Qd7IIUWJgfqMmS8e/qULfx54Rw+qMBB+cuzezLwOUJeLi2XUGCj4a+RhhT4d
-SAzc8rVRk4Gu71+3Y61YB/LCJjx+mjDQ9BZ2pzNaOtAcnxJo585AhtFsKWei
-tWFrwVjC4XwGmmvXOyPOdxLuMxPv93Exke+7Pe7LVppgU0MTifubifj/qETM
-amkCb3pjrBIfE227rDn7U14TLp36fT5TmIlkmsJp+qyaINfnxmW+l4nuvRsJ
-7ys+DsWDuvadWkx0tGW2NXLlGNz6winQHMlEUXVPFtruaIDuG8lI/ytMxPB/
-aiuaqAG/StSnJeOYqDJ6ZTwiUAMs3YLqiWQmks6fZwsx1ADBuUkPjVwmang2
-7a/9Rx1Slpqb8XMm6iqlPf/XWh2ge/Sg+ysmSpr0yc7TVYe5Wsrt7Q1MxBVb
-3CiipA4GAYq+wW+ZaPzNvo+6vOrA9bNITLmfidg2nJ/3awB41l+fMDnAREYe
-7LtcqwFcng2uZH5iousWvEZetwFaQwTaViaZiKbmEFIVCBBodVCpaJqJrsq/
-dvxCltfuowYF5t+YSDyeJnXIFOC9qAv3hiUmMl2Tup8IAP///4EeCOpRVuUA
-/gfEdGtq
+1:eJwt2Hk0Vd0bB/D7oqgMJSKFIhSSVKbYeSi8hgxxlZAMpUyZkinTPck8NJgi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"]]},
{RGBColor[0, 0, 1], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2Hk0Vd3/B/AbMiUVKhmLokwpHtPDziffMo9xK1NCxWNK5jGzuOIehCQR
-GTMWj4qtEqFC1zU1IZGZaJCi33nW+v111mudtf/YZ+/P+/NZZ4+jl8U5FgqF
-IryBQvnvGU+JD65bYWK8qLYnqlUPgieoXv98Y2LJebblpfd64PlSyll8iYlH
-VB5xB37XA2pWm3HCDBO35RZrNkvrg5Qi+x67D0ysQ1RSdGj68OxM7HO2Z0zs
-6RvbLkM1gA3N0QKWKUxsZ5VygPHLEELCIiqX9jGxnK5yv0GCKSz6tj5wkGBi
-xzCrrXWlpuDszt3aJcbEtaqLwxqdpmBkk/62bCcTSyt6Pnm50QxE1Es4nbiY
-+D7b1EmGrhk0fu127J3txV3TDyojuszgt5v4zvv3erHdDZ2T+RPmEG6NL/tB
-L36VIavXpmMJn0zWhHejXhy0PfCpLdUSDHU0Gzo1enF6DBvPBldLEJR7uCiu
-3Isr9nyX8km2hHtrdWc7pcj1G/mU1ocsYTKvQkecpxeL3BS2q/OxghOfczg6
-+hn4mu9oWX8NFfb7hqSIuDOw3v+yq92tT4Nuv8naUvZrPLdjxIDQPQN+Wec5
-tzT04J7zrwo6PZ0gXeFXQW57N1Y7Rjc7lHIBbGdrvMvWXuHZa581p+rcYfPf
-134J/P0S75DMfzeu6Q2bWQNY2jM6sYCz8IcK5AuytFEd9u52vHkv1cFtIAAy
-kwxYru57jqN5erjkw0NgVmwk9FJMK74poclzx+wyOHivHxprbsFHN+QdcRyI
-BAktYeecXU9xv+hzw+blaGDpeNwzYvoYb7rwvsdUNw4yXuxb5hBtwt7jNkLl
-V69A6482NNz/AFOXfqfdzU0ExcKgPy/163G9z/CKVnMSqOkceGj4sxZPv78k
-o5WWDHW6k7zz07XYptZe6Ul2Mhw2Knaiv6vFTaq2oXA7GeSs9m3ua67Fq/ev
-N6vUJMPuC3sc7ONqsfbByNvLXcnARdvF7s1fi7ck+l67x5UCbxhcFhnyNThn
-Ro//cGgKrD5j9j5pqcRX9ngVyMnQgTVzu2tScSXmSSz5fkqeDjyu1HUqrRLH
-nDjFFa1IB9HNg/tnLSoxLXTWr0eFDtpWb8N2fKzAZ9xo+mY6dIgbH5V2o1Rg
-Qzb2qI82dNjGvhAioFWOn4h5Rx+n0UFo8OC24d3lWIGSFbY/mQ4SZReLStnK
-scmkIA8nQQdlk6Ue9LIMC3ruHWnOoAM149s+V5syPOdzSoPvNh1ypH53NwWV
-4i2Gki7aDXTYr8u190J9Md4p7Xms4SMd2ihCsCOnGHs9n3wnOk4Hp4cy9q2R
-xbjy4tLByM90yJU3ypI0Lsb3A1dZYZYO2wVSeEbGivDGnvGjd77RgWVU4Nup
-bUUY6uzE/3AQ8C54d5uBeyH+VqE8uSxDQLDyobGf5oXYKXdEYYs8ATvngVKq
-WogbPB8L7D9IgMVZJw0O1kKceMHkoYUSAR26RZUt1wuw6oyYBe1vAuoF5DI1
-n9/Gla+GRq8YEpBSqeqiIJGPJ4r0WatcCVD4uqhWtDEfH+f4LVrgRkCXehmX
-2FQe/pKqaJDuQcDmVpHyzdV5mDFIMDy8CaC93TA/q5WH45/4Ra8FEsC7Lesz
-9V4uNi774ZocT4BxDnfC8eBcrC51efuJBAKSpMNkVCAXt8zlPBagEcCNHD22
-d9/ESnJq21KSCWB3k1vunc7BJm/sws5cI2D92eN1M4kbOG3attTzNgFaZkp5
-2lPZuN1SeJilkIDQt3dAsTobn/AY4Uy/Q8Dql8SYLSgbbznn/1dFCQHfxay4
-u05fx8bxT98/rCRgPnBquyGRiVfXZp4dfUjAsByf/DFKOl71+jTxp4sAvfi9
-H9Y607D8FXMe0R4CqkdVUuqvpWHGT4q/6msCojJsvkjLpuGyFIqAcy8BUpQ7
-ddzUVDxpmeWWM0CAe68q6imn43ts7/kThgnokzdYuOJPx45pKih4hAB0xTYP
-gI5vekUUuowSIBbMsvF8RQp2RBMSWmMEOBtfuyrLmoxrQ/cNPZsgYHH5YW59
-ZSI2inyHTeYIeFoyTNn/v0RsOF3mwT9PQJodm9P1oQQ8pP+vWR9plefG0qFs
-CTg36l6N2SIBYdkjVWAdj089jWDsWybAxHQj372FOGxgEbmDSXo3m4zv3tg4
-PFImSbv8lYBnHj5qHNWxuMuyka3rG3k+wE7mdgx2WFJV0l8h7+M3GUl0Ixo7
-8rR/HSFdUWYaW6UYjX/dPDDu95MAM4Hr+qk2UfjtYKV55ioBGZ9lGSdrInBd
-I7tVw28CXHLMlDuOR2CV345X1NcIuHR7Ws6v4TIWtdea+pf0A7+wOg3ecHwt
-svvw3XUCjosUtLU+CMa5p3RGL1FSwb6LZWpgMggHH/dye0vaL8Jx0/TOIJzV
-ux3BhlQo/LTHjNc/AG9iWjSysaRCY0bkpd13/HF2X9kFR9JMvdH0w0w/PJNK
-sWkizVqRN0Q97IudJA/ucmNNBaEzlN8uZ33wrktdY02kD29zEAuhX8INPivf
-NrOlgqOfuNOt+YtY1CRi8Q7piBDNoW4rN9wilPR33cZUqBr+Jfr1nitucys9
-skT6g84jR0E+F9z/9UqiHHsqaPFozDp0OeMTMipfs0i7X/ypGCvnhL3Eh/he
-kM5hNviVJp7Fa+8nA1ZJf1X3Wh+7aotL+SnbzTlSwYJlPl7O4DRWfjZqFEi6
-ptN9mx87FYvUfOrMIb01bSa76akFToz6kYxJv6tn6vGsm+CxcK7r70lf12XY
-3PTXw68Suad+kqYOdnsqLABWPTATzs+ZClKMbNbL3SrYNiTHWoa09mfZE0cj
-JXG39tZQRFrxZED0uDc3ujygNmZK2r3DJ1HIThE1/81Ftye9VBzovOKmhYw4
-/aL+Ia3ZgsTdtI4hS/+LD31IXz4MPG+eGaJQu0XVYNKjPfmhe6XM0azS9GoY
-6ShOyeW3rpbIlNeS9TLpvdqFrmkVJ9HbW3vN/3vfFrBvxOCLNbLTOPEpkPSF
-qiIqy1/2SKNroNGbdMxy2oRtowMKmS57c4G0VQozX83eEXU0tmrZ/Lc/2e12
-AhRnlLhNYsKQ9Pc2K8HF/HPo5YmHveqknztm9L7QuYCcryaw7yOdtd6fXDzu
-gj6dp4VvJu2avdMgOv4fVCbd+Pcy+f00VE5tPHPAHY3XCaJ+0tyMrMcaLzxQ
-fkZubD3ptx5DITs8vNDTOUO+dNL9bFeFg+IvIoFw8U+epLGF/M/zp7yRZang
-r+OkU+Y97h9dvYSOXQpdmSfPP1CTN1XxhQ/SnZ/8gEk7JFZ6ieX4ookn4dxJ
-pBWlFmRWtfzRgPmMohhpQd8UzkneALSjo1xmjLx/G54enOgbDkAJjAKXO6QZ
-dhfzayKD0F7zXbV7SJcbvhw97RyMnt2yqOwj73OM+n4JFt0QNFDE4RtHWnX7
-yG0LnjAkqs9r94Gsh62smmOr82Eo/NH3iFjS04uZkgWvw5F++hWvA6RNJqQZ
-QYYRqDdmuOICWV8a762WXjVGoFNHj65vIC3NjOaTUIhE/jUJQtfJeqU8Hbbo
-3BqFdI9tamgi67n2ZmavUH80Mto2lTJC1n9ueuuyp24MqlIL0TtLmkZb5m9p
-iEGXzYjuD2ReOAeZWrrdiEV8P0sMesh82WnF0ffIIR51DFmsJ5H5E8oT0G87
-k4h00urvepB55sJ653u1LQ0dEw0OfETmndUqY8fGLhoa9cgXZCetMKlwsqI6
-CZnQqgeIJQJGWyYG1vySUYQOv230AgEFWuXuphQCCb+se9M1SYCQ+tPQn2oE
-eiL+WXT6MwF05aGkAm8CKTYrarKQDpXlqPjxkUAy3f2bDowTQN3lNHerNRWN
-Ru5hMyfzn/ObkOdiYjpS6ll5zD1EgOWeVM/XzenojLR1EfsgAfnGXF61X9NR
-34pR359+AjSKfnj52l9D+vKx26aZZL85yfReOZSB5C/ReXPJftXz4KofZSgT
-ZcgUu8U8J0Bkgs1/dHMWstzqJmzVRoArX6j/06NZKOaDu4hkKwEsbv8ExNzN
-Quc+1gv8+5QAZRHdIM6I62g4xG4RNxGQFU4J2yp9A5VE5Yyb3CPgU1lA2Beb
-G0gwe/r71xoCDg3MhzHoN9Cl2BmnrGoCOg++D09fvYHsB+tPDFQQ8HvkQYRg
-Vw66Vu568y+yHzvo+MTs9stFP51aLvnmECDAtnwsazQP3XDZzUuJJkCNN45P
-ez0Pfe2rHFSIJMBOcNfwZ6F8xM/nWmB9mYAiuSOBqpb5iMKQ0ioNIUDVilbW
-35aPznw4lSPhS4B1keSW7Xdvo/cvQkfinAnI07McJPwLUTC//DERHbK/WXwu
-VE8rRO3Ch77PahMwZRvsPVpViH5LqrY/RAQc9s7jPjRViLLRaaaxBgEt12c1
-e2zuIL+5+GrzQwRMTMfk80IRejG0K/O1GAGyV+v+oW0qQUtDexUf/SDn0a5Y
-wwrpEiTsomaPyHmOuoUq161TgvL3/17AS3SIIr7P8YWWoNc/C3Qa5ujw5pqq
-d/ZsCWqvWu+ijdHhSu6DgNJXpejscEfav110+FTVFPM8pRyl57B9kCkg50dG
-ay6rQBWirodwvfgfHcTl2n5oK1Sh3S/+4vgMdMiLbTML16tC1vpMng1H6HBb
-7TnLz9AqVFPaqXxQnQ53ctvPz49XofdGK0K+5HxNrTuXOWtTjVb2j9nkb6eD
-faTLmQH5GiSm0SC/ryMFPHZ5Ltx9XYsGd5h5HlxNBpOOC9ngUI8WaA+MPm++
-CqlxzobHah+g5Kvcmw130oBNgjOGttyIema4ZM14E+Cm2KuC91qPkcuUz1xL
-WxxM12ZyVow9QSIaqW5a+TEgGD90+MvdFlSqczQ+wDIKVkZFRmZPtqI1V/k3
-5kciYKFc6XXCahvK+RfnnM0Khfa6J/E3HrcjyXzxYK+8QLA4bv7E2aUT+a6+
-9Wco+wHecerxbaWXqOhA0jD0ewNQD7NGfX+FMlwf7U155gH+Irwdgje6URZ2
-8OAZd4HjhKJMak0P2tXsrmWr7wxlA9Y1PnGvUQpHr1JUhgNk93m+2XeSgdLH
-OnrkVq2BTyA3qcqagWyCDBq8R60hweIVUrdnoPaTkzHt7dYQ2C1bYHSOgQYD
-XCrLM62B2jHp5uPDQELUHy66KuT6Jse1xykMdHQqs/qV/2lILKTutm1nIA8J
-YeVhtlMQ7IPOp6r3oj00hWanE1bw575P/LBmL+q8uXuXjrYVxHwvKZHT7kUs
-H13MFeWtIDmIf6bteC/ybNMDZQ4ryL886fXrRC+aN35oO/rIEtppqUHOnr3o
-1iHbkE5pS9hROJGkUtCLXGh/fEu4TsA9ZvK9NzxMVClbsEPoqxk41pWJJW5l
-IjroKjh/NAO+jLYEdQEm0k46ktLUYwYXT66fyRJmolsLtzhzK8xA4Y0HD1WG
-ieQU+oYEXMygZNjo3GtdJvrUrcNZ2GwKN6e5d7ZHMVHQAnM4474xGL2QigqI
-Y6I192bbN+nG8Lv86JxUIhNZ81rJa/gZg7VHcEsswUTpB9ejTFSMQXBxyksn
-j4mo4n387Q+MIPVbeztuYqJHtONBC62GAP2flDyfMNFkg93KQrEhLNZTbom2
-MtHedd97mxINwTRQzS/0JRMJbB20TzcxBJ5fxXs03jKRaudw3cSgATS+bUma
-+sBEX2Ti2poeGYBb4/CPrI9MNEeTMqnKNYDOsJ1dP6aY6Aq/UeSoswEE2Sup
-F88xEcqj8kjoGcD+I6aF1C9MlLh27lWorAEMirttYf9Geub4/S+8BvD//2dQ
-glJndcSSPvwfz2WTYA==
+1:eJwt2Hk0Vfv7B/CTua5OKlSaVQiJNFE+edLNlCFxFBlCpcwkc2TMfDYyJ1PG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"]]},
{RGBColor[1, 0, 0], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2Hk0Vd/7B3CZyVAyJdGERL4aDbHzkKFkjKsiJIpMmYcQ7j1XKPNMPkSI
-TBWVshtE5nLvjaQMyVSSMdGn+p3PWr+/znqtddb+Y5/9vJ9nn61O3pYu7Gxs
-bMJr2Nj+e8awxYTW/WThqtO7L9jkaEHoOMX74hILF9QaFvbUa4FXp7yz7DwL
-/0i5/fIcUwsoWS0msV9Z2EHAhP2NgDbIq3JvPTNI2jZquS1SG146EK84X7Jw
-3tnebnNPBGueUkWtElnYzq79cayyDlwOj6yal2PhY+637F0O68Ksf/Mjx20s
-7NJtLm5lqQvOHvzN3TIsfKH4rfQJF104bps2UC7BwqEFvig6XhekNcp4z/Gx
-cMuGT9O33unCk8XXTsxpJo50Xe5YG6gH/7rLSty/x8Q3GmxRduMRiDiNrwQA
-Ew+4mKgsRxnCZ9Pfm7YgJr7jEk40ZhqCsZ7Ww3ZNJm49e884rdIQJJUbZmX3
-MzFfVY2BX78h3Ptdd7ZdnomjvneNLO8xgsmCSj1ZASbm7t/Dt33cCE5M5PG0
-9TKwvvPlNVq2x2Cn/+VEaQ8G7hiLz9EINQHDXtPf8zk92Do5os5KwxICss7z
-Cj98gwMzlJMe3aVAmsqvovzW19j3B0s/Kc0W7KZrfcp/d2GHTvXdV945guCh
-9F+ihzpxrUzDV05DZxDkCGJvzWjHv8SOf+IdvABK8SN63K9b8Z01slGcuz0g
-89ox9utyr3DrRF+urtElmJYZDvOlNWMxgQ5nowxfcPT5s2f0aRN+mO7zivtQ
-AGzT3uSct/EFbrzjJ/GwIwjY2569GTZ7hkWDehgFN0Mho0NugWdzI4a2PWoT
-HuHQvNyChnof4e5xfynFlSugWhzyt/NoPTYejH1kaxoF6nqKDcYrd/FF9YWH
-bb7RsPqSxXzeVIVDSyU0hRKowJEp5nattApbmK0YiKVQQcCN8ocSX4X7NddU
-bcygwmbBdzunLatwwtyDNKl8KuhYD4SLf6rETfe6sv6tpAJ9bETBna0SN1za
-2nq4iwrrub9fFtWuwCgmR72OjwY7Dfl2XKgvxU8dejXnQmjQwiYF4nml2Pep
-8TXecBqca9hl3xxVirfwVSltjqRB/u7jWdtNSrH9zf2miE4DMdFEgeHREiy8
-Dv10SKEB+4jo0sn1JXjtJtoN2XIafAjd0nLMoxjrm5t7xvXRIHT/ntEVi2Is
-X/RA/eh7GkjMANtttWJcwH5hN9dHGliePafJw1GMc0TuXPf/RIM2w5Kqpuwi
-vLjRlGfPNxrUiypnar26iU1zYzpl2QlIrFJzVdlWiCOtt8t3KhKgsjirXsJV
-iPV6ds05KhPQrVHOJzNVgAVO+qvPqxAg2CxdIVhTgCv43x7g309A/MCamWnt
-AuywS/mFMCJAaH3WBOVePpb+X02vtwUBf14++2O+LRenOdmNhQQQoG2+r0Bn
-Kgc/LVsMzQ0iIGzgFqjW5OBcsXKXRyEErM7F0YRRDhb/a3TwSzgBP2Ss+btP
-ZeOcyeRSWToBM8FTYsbJmdiMc9vEu3QChpRFduuzpeHhTTxz4XcJMIrZMfi7
-PRVvD1JbL3CfgJqRg4n16am47mfFaEYdAdEZtnMKSqmYFnwu7+ZDAuTZbtXx
-U1KwoJ2eUQomwIOpht5UJGHv1NGxnjYC3u4+9v1qYBLO+ynG2NVBALpqVwCQ
-hFf8ppwjOwmQCWXnOl+ZiCfqiy9vfU2As0n6dSWOBPyP17dTh1gEzC405NdX
-xWGD1SM6XR8JeFE2xLbzSBw+GcTSmx0kIPUM57ns/ljcqrJlVHiYgIOvTBTC
-OGPx/gST+SOfCAjPGa6G0zF4tYypQx8nwNSMS+TedzpWOrxhXcIEAVs4d/nv
-IOhYNWwsIGWSgJeefuo8NQRuuW7HkfyFAH7gft7JRcMR5welXWYI+LC0azvK
-pWKJNo8Mi+8EVJabEdWqVKzAySrSnCXAXDT7aIptNL6cvhDMPk9AxoQSw6Y2
-Ei+Li3C6LRFgIF3U0vwoFFscNTyT/IsA+272qb7JEGyWt+yq9y8BAZFOa79I
-hGBVJw35edLFn7eaCwUG4Q8Ooff1/xDAUVnQT9nrj0UzbTc2s9FByoHtX9ez
-ftgB/yq3W0OHvesdZS4n+eLFWcvpWdJOAbLn/pm5hKn+huHCHHSIvKzV/9ra
-HY80nmLs4KJD9dCvzYv33LBfV+NAIelBvcdOkiKu+LeVSuombjpoC2hOO3Y7
-49wnnmu5eOjgcWlFlVA+h4cW33f4k85jPQy4HXcWp1sna4yQXtTw/jN63Q77
-RslI1/DSwZJ9Jkb52ClcdCs7SYSPDrXtHusDuCk4urik1of0h3qWkcAfU8y9
-89VPOX46ZBsybG8EGuEaXkLmMmnKu9deKt8Ba4QpznaS1plQOqEbtR1TpagZ
-59fSQdUmiDrmw4+cSyYvVpH2aPOLkzqjiugx6V/mSWs1IVl3bX2kb63y1UeA
-Dlf2gsD7l8ZIrfyN+x3SI28Kw3bIWyAtOYXMUdI7dIrdUittELXc5ZuhIB1a
-guSGj82dRr7y/JIBpC9Ul1DYD9ijqYqB6XzStIXUcbsnjmivTYN7M2nrRFah
-ur0TWs8dkzZJWl5J7IwomzMasNl+gVeIDj9arCVnC11QQqXP6A7Sr5wymB16
-F1C3ojUfIp31pzehdMwV8dfWvjtB2i1H4hg15iKKnnK3OE9a8+BJLgdFD2R/
-yM0vgDQ/I+uZZocnuv8mEUWRHvDsvyzu6Y0q0lvuxpLu5by+KSTmErqsvvQ6
-gTS23L1y/qQPilHkzEgiXVLQ1Wul6Ivccz9wJpJOnPG8r7vqi4SortJxpIO1
-hFJUO/zQ/cyUD/+t7xhX5S2T54/4ThjoB5I2emdqIuAZgA7NeVMukFaV/75r
-VTsQXfPNE7YmLemfyDspFISYtOveh0mvefG/8bdDQUibciJQnvQX4TdNTTXB
-yDpk0w5+0owzlwpro0KQq55oyBdy/yqMO0dOOYeiRgd365f/7bfGzm3shpeR
-O9tbyCFtr0BzKlcMQ4iSiDxIq4kN37QUCEey//Qba5Jex6E1ujoTjj7KLbpx
-kv4ym7m9qCcCcetuyW4nv7fpuAIjxDgSufY9UDImrfnRer7rSSTq1K5I5CKt
-wKKKbFOJQjc2PON6Qp4nthdDlu3ropG3u5viZtLTDwX9ZKKjkZtGQt8r8nz2
-Vx9K9V2IRo5CS1lepO/eyGRK9VIR+8h9Sg153vPTmhe8DGnoBbXkhDHp+PiF
-DU0PacgiaK3LJ7JenEPMrNxzCbRG2KOFk7SENc/bx44xiNvV/ZoUWY+cxw8s
-CTNikFUV80AGWa+zuufEnPWuIu8Xej8ESberPrUWkI9FUvrZjXNkvYcJBPXa
-fY1DVapj3nFkHrhy3PpRYxePIraaD4yT+WG9yhDn6o5HW/KzHQ+TVplUsams
-uYay9xg2fCbzZqRpvO93QAKyFH96n43Mo+4G0Z8WEwnoOK1tRZvMr4ZaXcmS
-k4kIb+uwDVoloN3MTLl0cxLSeXYiePAnAUXaFR5mbMlIw1tENoLMPymNF2Er
-6sloSO6CTd4iAUn7+68V+SSjFW3BmvoFsp8p8VQuf0pGMoJCL4fmCKBsPPft
-n+YUVBRiT+Ug85d3ScprNi4NcTF8WpLHCLDamuLV8zQNrf3VlEB8JqDQhM/7
-7mIaElyY/x0wSoBmybK3v306Wlx/lXF8hOxPNiyfn3sy0Oj8jAPjAwFvHl0P
-YOvPRJsmw2y0mQRIj3MGjghmoXUXE/GvHgLcRMICX+hmIYsZR1b9GwLY3S8G
-0e5koZwNnMLbuwnYL20YwhuZjRQ52pjMVgKyItjC1ynkIoUXeRqZjQR8Lg8K
-n7PNRaMlq8NbnhCwp28mnJGUix4GBOmWNpD79b+PEWmruYjShg+WPyDg3+FH
-kZLdeejfdN2Vq7UEOOr50bYE5KMtaxwSyosJEOVc0M8aKUDijy84UK8SoC5E
-F9H5U4CK+oczw8n+fkZy49CEVCGak3IT86cRUKJ8OFjNqhDdo/SOWkcSoGYd
-X97bUoi0r978Ok3OD6dLtguL3bmJuOVX093OE1BgZPUuObAYKS/VzRTrkP3Q
-cqJYI7UYGdBGRhXJ+WTKLtRnpLoY6XVq6VUcImCvTwH/nqlitD/Q3KDoIAFN
-2dNab2xvofH1DXRXcv4Z/0IrFIISdGl9psZRCQKUrtddjF9bhk6KPOjz/EID
-nW7CuFKhDC0XlOYmTdCAIkxRfq1XhgZjZDfWfKZBdPKPbyJhZUj4bITB2CAN
-3qer+eRMlyFlAYG0nUwaXM1/FHS76zYK5ZHXF31Mg8/VjbRXiRXojGtsYNxV
-cl5kNOdziFajE0dfGhyVooGscsuyjko1Cj7PPDomToMCosU8wqgayVjxdEds
-oMFN9VfsK2HVaCC4z6FcgAa38lvPz4xVo3nev4zRP1Sg1LlkTtvWoL75LMOR
-T1Swj3J16NtdizJ1I1fX3aaC50av73d67iLeL3aNWSpUMG27kAOO9eip2x0u
-Yb5oSKE7G+vffYQy+uSMv72PBM5tvLT4hSeovrjzZ9ThK3BDpqvoo/YztPRU
-YVNYSBh8uZvJWzn6HD3jUj5D6w8ByZj+vXN3mtC2XtrYMe4g+DkiPTxt04y+
-ERrXS/394XvFvp7Y1RbkwLE/rpLfF1rrnsfkPmtFYjyP736V9wZLA4vnzq7t
-qOOxnAHf6EXA4ief3dzXiZ4ekZrvrjgPQNnLEf2jC1mvm7bo+OEEgdJCbZK5
-rxFhWNVb2u4ABsmqu1Jq36ANO6VW4n+egvK+07V+9B5EWA7uHjayhpy3Xu/l
-bBjogciPh+9OWoCIaP616tMMlK/fpL35qAXEWnYhDXsGShAvXvLQsIDg10pF
-x10YyJ3bYHq3lAVQ2ibd/fwYyNIjyv/AB3MQaXT6/SyRgfZHlHylOJlDXDFl
-i10r+X7xZBj9mymE+qHzKRpMdGnfdGVohDH8ve8XM6TFRPEh0Ssi542B9qOs
-TFmHidrN+yufmBhDQsiGry0GTOSRXq1yZLMxFF6Z9P51gole5T++ua3xGLTG
-p4Q4ezHRPbWCSTG2YyBePH7tYBETMVKeLeakGME9VsK99wIslPT3banppD44
-1ZXLxK1jISvOv1rFPfogktESqyHKQr5yatsEH+vDJZs/DlmbWGjOX75aMkEf
-VN57ClB2sdD3t7OpYgf0oWzouEuPIQv1Omvl5tGPwI0v/BKt0Sw0Oub1PklN
-D453yEcH0VnofdbX65rbyftyhe43+Thy/SvKu34I6cFpz9AmIpmFTNK/zt4c
-1wXJ2SlvvQIWKkuooPZk6ELKUmsrbmShP2EuSiGrAND7eZ/Xcxaqv6FopDUB
-MFvP9s/mZhZaapjPX8cCMAtWDwjrZCGP1Me3pysBBH6VbtUcYCFpt5YubyeA
-JwNN16YGWego+lbWYAbg/mRoOesTC3VGiOmLawO0h0t0L0+xkCTrZM5fCYAQ
-+30apd9YaPi7p851LoCdh82KKXMsNB4bHKW0oAPvZN2FuZdYqNLr54n3wzrw
-//83UPA1r6rsbh34P3zpEhM=
+1:eJwt2Hk0Vd8XAPDnmSJRUlQilIhM9TXFyeYrIpRvXqIkVMqUhAgZ3n1CyJAh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"]]}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->True,
@@ -5439,12 +9059,3582 @@ JwNN16YGWego+lbWYAbg/mRoOesTC3VGiOmLawO0h0t0L0+xkCTrZM5fCYAQ PlotRange->{All, All},
PlotRangeClipping->True,
PlotRangePadding->{Automatic, Automatic}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for co-propagating case.", "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->382278729],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUWXc4lm0c1ZLyIaNBUmQ1zJB9lCSrNERIJS0tIyWkRJGRUkkDTYnI3mSv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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUmXc8le8bx5URJWWUjKRUVDJKVOIj0SANpAgZJVSU7PpWmkohoYxSkqa9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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for counter-propagating case.", \
+"MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->482398204],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUm3dcjt8bx1NSslISlZZQklKK5ichoaiMSoRkhJQKRSW+FFGiRAnZIqGt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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUmnc81d8fx1VkVookVGgPQkKhV0aIilRGfRNFJUJSSTQkRcNIw6okZTRk
+RzKziVx73X2vO1RSGuJ3fn953PP43PP53HPe5/l+vq6rdtjX3mO6iIjIelER
+kRnkb5bv77JATwo2x+s66s0uRk2K5Ks2BToaFOJ+5E/vgH0Wz/GP/gesfbTW
+NSyUjvYSyRzDDx1IiXfWXpBeAa52kK3tTAZ2bOM0SqZ0YrNFdlvj+2rcPFf9
+Mz+Ngc4/KXFq2V3Ye/ZaXahXHdheK/qN3JmYHX9QRfVrN+Q/Wq63rG7CuTW0
+OerbWBCpumyl69ELy5Ly0M+8VhxKEN/oYMPGzO83H86U68ctp+azazrbITOj
+57zXeQ50TTYYtP4dwEpTdQXJVV2I22HE+NbKRddfhUIVWSr8t4iMx9J6EdJ5
+MP+QPQ9/wtSuPgYNz4x6PcWmDeGWvnv15AQfx7+LSep50jHj5ejb8+dpOOE7
+Nl6lIsSgf862FF8GVF+YSKosYeDUngr/MnUhmhKycy9fY2KXQhU1doCJpMmv
+i+avFuKJlIkN7zkLOQ8SjeJeszFq/ELt9XohioYnisVa2Rg54nJ/9CYXUgeP
+zgrQEyJ5hlHi4b8c+Kv/K/rqzUOh1IKllsZCyDXXqujMGQY/jsuIsOdDfZb3
+xoQxAejnTjgum82DwiELvzsv+Kg3Xjx1OFSA4/Fz1G//46HJZ94j93E+9vbg
+pdoCAUR+Op7t7OSj7nCpZi8EKA7Yerc+n4+nWYe+COME2Jrtt3LLJQEMu2UO
+P3Hlo19yudsGHSFWXaNty84VoKCuzHqtEh9hO14vdskUYuHJyvbKPgFmHElN
+2sfk4bfLFYf830J83VYlZ/BTgG8S9roN5Tzc/BmotmjxCOLiP/85MF2IgrTZ
+o0HZPDzcN3hAT2EEDin+fu+mBLAOMlkulsfDAofj6WfoQjy1eOd8bkSA6JXG
+t3UbeVhHg5hpmBB7fWNPzvokgE8ff9/xHzzMuzvN9cakAC7Krl5nngqQlHj0
+j502H/ZPFDdo7SOfc2f14wlPAQbNyws0Q/hYoP/nztgtPmRsbNl6KwX4dDp/
+gk7W5eoWuW0bsnjY4fnOdaSPD62wZXtnGgnQFekidMofxqE7KotHI/iIVnB8
+viZTgBd1zzq/veWivDx4yakNfIRe2znuulgI5z9CkYcxHIikSIf9rByGp2f+
++4HNQhRvXSVecpSNpLOBtI90Dry1/GNm6Qrh+99y+R6wsIz5KOKPBBviJYYp
+ezWEcJkv/f29GhOhAasSLI2ZmOh4zmhZIYR8BuvfgCwDT8uPLukNp8PqtZ3n
+fVUhmL3DEWWydLCDHss58qkYiCrNKVMSwi50u/TqNiqOezHWMS8PgHkn5sc7
+Nz44Fk/zQ5yG4LtcpsA6vAePvS43TX0choY6+9NCqwE4D7q6RH/pgOtSVaVn
+9lw46px6PXW6D3b3szQyKj6jt3Gh1wtJDozGe8sV+npQYeecsv/HJ1xmBkWb
+81jw+XFs69fAbmSpanl9Wt4I3WjWNJdvTDTdznGptO4C33FPyKRULYJ35MpN
+qjDRdzW8mm/TCRmf7YPNcVU4HDUjj+HJgLHovY3PzhH+iKzdk5RTDt1WkQs5
+FDr+rhT4N9RR8GIWW2dF2nukRyz3/+RMB8to/krF3RQ4/zcYnOX+DqoLRYre
+iNEhu8SO6c+goDeN8vy2Syke5h19f9ObDotVy39E3O9AWfHmVbMXV8CvpvOG
+J4+OvKWJU8t8O9HboSm0nlON9TbXldNCGXAeufNA2r8LWupeckl3a2G6me+R
+YMCEVK5m0pPUbtiZNTiZFjdCPSA81mUOCw/Lg3Rp4r34/fy96x2rViQb395V
+JslG+6YD+22f9uHxi+3/NOe1Y2+VZ/6GNRzs7tlzWeIM2acjO/yyjTtxf7+E
+nYE/F+HVoX+yLg/B3t66YmVTD9rVixWN6cOoOHPJQp1OxauNY5G8kgEk/FuU
+f+88H6oTdsanF9Kh12twyP43FVnlTy6Mkno4EZDEn5BjYNchu9qBm3TIKw09
+Tif1M3WiQMZ0ERO/DC/0yusxoTK890MeqbfXOWf1rmqz4LDl5vzRbywMnu8d
+FyH1aWZ6QENtJxsPn0Rkpr7jYNWo4urADULUb46uGTnBgQ2eeneHDWOBxSGV
+iU1CjIeEq/ld4eLVxanl5ksJdwpDFFRI/YfPzr1VHzCMiYdnXp0I4GNLnQ9b
+oVYAtYk3NFNnHgqeZtsmlvNxWsmppMRVAOpgQ+btVXz807ufVSImgBhtRv/A
+DAGUUmOcBAN8uOlcltU3FeDNg99jSTl8UBd/fzx5WoDTtccjTAMI5zo2Jbj5
+8iFubWl2ly3AlnOPtQITBJBf7ZIoY8THXT/vO8sJ97JbPmVkEe7NaFsQrE24
+t+3Fw2cte4UwuiaM31wmwH9Gsc6ZUnyUHN9w2nCnEPd2PBrJfS+AVdJ25Tmz
++ZgeNehToixE+8ZvK3ReCuCqkb7KaBkfzOe/rmRWCOAss9pq9R0BjBNmPru3
+g4+iMBGVryYCyLaVG8UcESDIxOdiyzU+eFa/rhk94SPwv9jhZxoCtN7jvkIL
+mf9nxolJKlmfLv3sQSEfZckzBgVLBZBqbLT1kOTh9S1N099pfJzatW7v1TAB
+HCmcoqzFwwhlb/+b48iHsriBZ5ZQgCxZm/fvlnAxk7PBbO8LHjYbmhoobxHC
+qj5Y3keUg1rde8IVVC50Bl04afpCqJzP3raaw0KYy56x5vkchLken7dcWwht
+O83Nmc1MZEcffhu2m4UmWppJ8Roh2K+3i959z4Bo/FPK+wQGDjeLXrq8TAhK
++fSQpUV03GMcN7L+RUPKCr0H0YSfihbjJssyabieTcku3ES45f1se1Es4bjc
+jwfy56g4Nrjv8DPLfrS1U/KUGTxQctV7f30YxF+6ufrBC91Itbz4QWn/MKYk
+P97pqelHxZ0ICmV2B5rD/fc2j3Pw4Uf0IiOJPuwbkujdPvMzlDrP3OeVsjGY
+f09ZKrQH2ZyajdllLXiVUdH1OouF9KIDLYpa3VgeQ315ZVUDflovOrLuAxM5
+fTfvNczpguIs5ctfjGvwqTo//tZ3BmZkP36QrtIJ/bFXgae/ViL4S5LFSysG
+0nF+nZp9B7LvnFy5RqsczakNB/cV0zHqqzpsm0XBS/UrKardJdikP5S+YBsd
+HJWVHQ4GFBTcufjlUlERlhqm1W0fo2HsU/3u3CoKgubWS5ZdeY9m348PDB3o
+GC5YK9zk04EM+aKMwZhyTPNaGSrfQoer/ui8QKNOuBzQVpp3qAqXh9LixQ8x
+oDC16ewfnS74LYyV2FFUA9fNJ3wsZZjIFa+5y9vXDYcrB9PEXjagqfFIZ3k3
+E200poxcRg9OXnE297H8hFjDrolFtSyY2Ci7Na/vw7NIPme+zWccX3Uk8l0P
+G3aREVHKgn4o7fTrSrLtgHyDeOnEXC4eX2osuzs4CCkbiujunG78/XBdZbff
+MPzNchpWXKXC0fyp96NT/dj6KXq/3BgPOrfT/EOyaRh2Uz1TYU5FV7N79rNE
+cm72MHb2FdAhoR78ZfNPGvyEAuUIUj9fpjQ59rkMzKmwGRm6ycDL+a9DrUm9
+rV28bMyomIlnzS9n7tJhIY4bTbMi9SkwWdmmXsfCuNrt1DEGGzlNy6f7aQkx
+pD2ydmE3G4Lk/iOCh1w0pE9fn0o8zauOt0bA4OBG6JT0Fkse2qpObfxgJERH
+klsLs5uL6JFP63y28rHixJa/QhnS39nGjoY5wyiXbF3GvcGHmkL5eFSWAOxt
+fS2O53hIvhRwMLWBj132pu9M9hBPy3Ns6SB8XOV0nrZKVIBqd96fP4Rz93Ov
++cYRnlkUlw1VbhAgrVybJ15DuDCXqxuwRICav6MH5zoRnkUOHza5x0fnf3N/
+rjgmQFOyudYfX8IltsR59TN8mKzc9GjBDQEif5qY/AwSQMfX67nrUT78eAka
+k5fJ+zM56x8GCuBncLv/jicfRhIxX6p2E562d3t2HydeVxNiWXiReKT2p+sl
+f8lzdgb0r9whwJz5vtqmhDciH3v/SIXyIRvSZHeX8Ki3eXpoDfGp8Mkbn5S4
+PAi6K0uNvxK/7JbfV6pK7sc+GvFDm4dVLt8WX87lY/2uO7qO/gLsYboH57sP
+42/MBfnZhNfXBfFM6xYBHgSLVrte4yJYdfflOMJTFXFvAyfC69ZF8TO9Qzk4
+P8tG+n7mMCicau1rxLukOHS3+gA2bs538T3wm4Ps3gvxh0jfSRXp3G3nwcLp
+Jv3JddvYmDzXbrleUwhT911iZ5yZuMwRTDbfZ+Jg1hdZ+VXE8+UW2yXtY0Dp
+gEvxzh90LPq6O34l8f/RBVHvOw/SoXjKQUb3GA3akvfir5C8IL96TOwqyReL
+lZc4PRUZwuO+0aJOki96t5hvdlOmooTxtrSCcOi/eAdjvcM8BFxb1VesPohG
+1Q9euV5dOGifVWIj4IKne9/Pxqwfa7yyXy1YQ8G/ix2TjonEH1ec2XAjoReJ
+Zy1Cb1q2wShPit/qx8aqoDbZgyt7YFGRXX8wrBnVLO3zY14s4k3qH0dYXZBd
+r38pYUU9Dj/Z0SwTyYTtpFt5eXsn6OJrw1ee/AiXFw7X9tczkGIavCdC0IH4
+rcWFytsr8WvDwzW9Kxhw0FmQIVzbAVUDpbhnDmWgP2w1CH5Mx+68zss2tylI
+7ynT/k+8BE1Spn8m19MRuDv84OYlFDx8u+Rsr2QRqs8saUil0yDYSo+7mEqB
+taXRrYqUEvCbapTiQYdKetaafds60JMT+ytjRjkcpqzHHN7SMUtHYskcyU5U
+JtafsHlZCRG7lm+szSSPZa+Y92+0E0cKjx+r6fkI+pppXruGGAhQ5IfJindj
+XvApv7b4ekRPMxrYl8LEPPes71SrHog0uk0N/2rGDBr9SuhVFpIGG5STS3qx
+aYDzXPZKG7oNwsdkb7BxhZ4vss6tH0UpFWelXCjYInAMdszmYHgZo0Nx8yCO
+V2Sf2xvXhZ/G9iOFE1wsnh2kWKVOBWud6+uT6n2ov3rx1X2S50TPTyY+2kpD
+dibzcrDoEMopFg4ek+Q86s+d2utEx58I3sR+Fxp+nrU/60bqR2VmoWyrJQML
+PG4dUR+iY7/IfLkuNZLHJA/f0Tdhwm40OLLPl4nOuTXx4SuFEP7LYWiasOB1
+60LJEmk2Tp+X9v6PeNqX5y+iJM3YqP2XdNU7g4Py9PlmxsTTNDo6hqeZcFDV
+EZp7wWQYMz+a+YoTT7s/mfc6bCMXGfO/yDk1EL49m30sgfjAYFBm5FOJYcTK
+7mtytuPjMDftReQ4yYUa8pHeVcOYtLzWnnqHD3anolF/Ksltxv3/WEd5ENFl
+XF75kY8s7cLCx/uJn2SGL9Ic4SHzUpe7+SgfZtfT74guJr4jVbrFZB/hyULf
+plR5AbKT7y7v+sLHBYeUl2LxfHhZP5A0Xku4lM6WvdDGx9GvfTpGRXxEzl6Q
+mbZRgBvVQbsvVfHRbpZak/GWjwme1OMAwsmj3xukThFOmr5VnP8ujI9Hni0q
+gcsEWJFxSv1uLx/jAa0uOTrEsxqmJSySFGCybDjCfoqPpKqx2gVl5Fyu3vww
+ms7HESc3hgqZb3H42mJRDR4Gu7Ude8l91nW877xNvNJ85G2G0uVhNDxKrdcK
+5KM049ekaKUAknG/n3iUcnH0iViTqT7hYmxzOBYKsXWnkpVHHwcvxNMrIjfx
+cLtE0f8W6SMOQ7W7M+hsLBOV0GVlcPGvzp9CJX1nncHm6E466bd3pmr7ZnMQ
+dfxZlzTxrlbr+wX7aUww1b46rzzFgv3xv6s11gpR5Fu96DCDgWwvj48LehjI
+LDk0cXi5EDt9xKcmBXRc2ZmcoL+T+MFOzP24RIilC19rj03S8M3zJF2zmQrF
+W/5SXyTJPGdadNTaqTj4S3F/6fUBcHf+SLzozseDN9J5rsFD+KES4Zld3YOm
+R9lXDYaGoRl55cOssAFMmcyxbHHsxOHLKxpqgrmYNJz1LqW0D1lZ1rbZJu2Y
+bdnlfcyYgz/Ug/kz1/bCwtAsMfNaK1Y1vO/2V2cj4/zWT1qN3VhGm1XRadYE
+1dGxmnVrWbir/90pKqELM5ee9LukWoefMZ9q5PYxYf37xIuS+524SWuo+/Gw
+Gv7O4T3nHjEgMOt8/7ikAxFS/h6ijysQIOjpPy/KgIVNsaOiWAe2pjeHRll9
+ANdK8j/tMDqM2FINdT4UfBubv2v1hmIMdiaF31ai44zxHMNGMQo23eZL/XQq
+ROeYek5VKw2jv8SyhkIpGAvbnUz7UIyXcUWTWatIDt9+L3lYuQPHHGwVTTgf
+oKTblbk5jo7WUf3Ov5QO8LYqeuqOV0D2w9+7OxQYCI0p+bA6pxON16e3O/2q
+RuDf6zJlb0lOEw7M0yzswqz1gg6xsDpY+z2S0/ZkYn34l2xvTjfGTit6iz1v
+ghHeJIqCheTbhgc423qxeyVf+2heKxZLHUx12MiG1OCW/ScofRBE+L/a6dkO
+P/Po9BM7OVg679z503cHMFrYQrvr3wkRFyP5+Otc7KCJ6WmGDqHimJJtbUsP
+du0+f3MHYxhzXjwPMflEhb5eULF50ADEPDjPZA6RPKYe4fPrGw0agz6ViQVU
+XJ9tsuAN4cN3621W1F46ns01uaCkRYd7T/ruA6Te5gyOUONrGNhibSzbk8nA
+f8omM0qIp6ma1VaeKmLi0Bk1Q+/1LASpFXhuIZ6G7wEe48TH2/rOMN8WEJ6l
+6yU1rhfClnZ/aCiRDTftL/KrDUhOkbxQaLZRiL8uyXK9xAe0BkIGLLKG4TM2
+M+868YFH9/ibLh3g4vMqlcsHxflwtv4iHQgh/A0dTs6fNYzVPdL3O3bzgZwT
+vrd+CDDkXlh44sUwtt4qpu0geczl1Piu49kCqGr0/lZcyYPGwwoq9Q0fSy0G
+mbrnBIh70fV11w0ebiSqvbFpJR5WID0t3UYAiaQr42p1PMwQOWgXx+Lj85O7
+6rLrBRhN+igXw+LBpOvWPA/Cu+TRKE+qmgBjDvq+/kM8xCdFpu4n+S74x17z
+R4RbPtWxt1vyeAgfzb+gPsRHwHXf2CJ9AW6eWOE/RHg7Q2e+/XLC26JMn+dP
+CW/nfJue7f17GHSFnE9pJEdWff5PPOsm8cGw4uc7fIfBCD2led+fDyu6gs2t
+egFU+FuVaxq5SDF3XTqb5GF23cxXLfOEsDNjfLOS4mKt/+OdtDAeHGckL3hk
+LIS9ct3mpLUcyMkcv6+0ZBhvDvtFRRoIwTp9tvT5VjbcYzYpPkjjYOLEHof1
+pO+cam6+0raLhRsP/mlKqLHhvGPvVBbpUwUFt35fPcDE4kj5TJUEJr5JQV6V
+eJfrvqO307wYKMq3TMlXZMD+TPqGdOJd4z3SjrxQOsw1fnjWPKVhoX/2H+dF
+Qrhb//jP6zIN1WmtU070IWSwb0/NI158Yf0FoaYHFXNXqLcfk+yHVjLj0fd6
+Hlxj9uo7lw3CbKXDG9HgbsgsMAt0IfnxOKfq4xZGP77/Wyihu7UD+EfZWCnN
+ReGZe70Ken3ou/7dSdThMxRS9XKWDRLvSv13jPWuB9bXHfyFVz5hi8GayK+f
+WXg4Tw/ZJ7tx9orX7uzJBkSLfuOeGWYiLL5JdvGuLgymiMi8VKiFZEK+5f4l
+TKQk1xh0ORHPqcfxkooqjF4/rf/LnwH3reVp0yI7kCanceT8aDl6D+3LTaDR
+8X5VjWnuAAV3xYLvxuqVQpW168yV43R81q2q6rCloPDNql3DB97B59ySZc2i
+dOR91yiZL2gH/0G/8arnBehRU1+R84GGOx+WubLdKJj6s13pds876H98d/DS
+XDoKtpUoSY9SULezPX92dSk0PbruNZ+lgzsRc8LxSQcKTo/lLNtagRun9m/c
++Y2O2c1m9574dcL93muev3w18W9t+purDHRvneCcONqFl+t1P67zqkWn59L9
+PlpM5Kn8NWeHdeOr8rWzx2wbIdobO7PmNxOyXONqFuFOwsjy8B8NnxCutEIp
+l8aCS/zqQiWLPlje3snuP/UZTU90lxwdZiPTcCjmO68feHZJO2FnB8wnLxes
+I3mzomiPa+r7QXzYxbHada4bjszvlLNOw1iU9etC8n9UeHKS9ZL4faC4BwVy
+S3nIsUpYvMWHhh+ts28sTR3CI4rmzvAtAuSWSRcVedPhnbExZdElGlTorwO6
+iaedeRC0P96agUuSNaeSGHTYTXXu4xBP+7og0XqVJskR7dF8w91MyM/f67KA
+eFpTivO39XIsTL5xyzKoYGGHjP0/23XEu348iewbY0H/Xe7tT+Q82atLTjtD
++jvnwrLbS1rY0Ept9WHd4IIaP+vX8f//v6DQw3QongPzW19jzFoJt1LyZWYb
+CvFzPHR5jD0XZ29IHxf9zUPhkNOIGeFbic4At47FhUPfSFaxOR8nYt9HrBQX
+ouJhrV/pQZKX3k4uL/Hm41JE/bITbQLM3vXfLel3w1AvPNSgcZNwT/dCdGg6
+8azM7uvfxoYxPbrXbOVjPvSKN4+9vC1A5qOSwlBZ4jEfFz13SieeRdNw3HNF
+AIeZdb5ZUjz4WW6YcfQ5H3uOpWz6dlWAJ4v1pxzpw6h8nuL1/SEf+b68RdPv
+C7BM/O3v1w8Jr+drKR+5TLxN+7X09EIBlgTsabugPQy3MA+x3wf52Jbzu9mY
+JQAHQS/c3nBxsuPuzvvE40Sdkr6Ek/7CWDslryDDhZ0m16DmOg89z1oT0gmv
+Kqyiz1vbcPD4de7FafbD+Ogr8Dcj3htVMmRYc54N/7PDf1ymcWG6UTc/mOTE
+skyN2W+TWHhqLC678hEbsQZe5/xJ35l/ddp2mXdMdP/QDnXXYoF9NOyLCelT
+bjfOJStTGOA+mvXmVjkDdMazTkniXemJ9+1CR+mweWC6Qc6BDgPRImMWec79
+88sD4hfQkdS2Rd35JxVztj9+zVEi/cjtQI6HCA0JX4oYK5cPItrQIG3JMz4y
+/V629/KHkPvs0uWw8F6ELFh7PIb46IdH60MXigyC+qH2d/D6LngGcuf9aCf7
+PWqkl7K1Hz772OfOLKfgdv37sEBSN//JZkh9f9mL32/4jjHH2lCxqPROZQgb
+Xxt83I9YEp+7X7G05HszQn8wHc+GsrBMytBMbk43Hhaub3uZX4/Zh0eWjz9n
+YqZXgnatSBd63xWaFUvWwLCZ4T3FZaBjs3uJnlInYl23zv3OqUTEvpUnxiwY
+eL7x1K8Gxw406T2s6jMrx/Su8zvsPtBhped1vCOf8MdzcfZOtfewvnnlVfAO
+Ojadtt4dpkVBq0VcgmJoEWooqz0aRmgQBsRsWvu5HRI7PeuGv+Vj+1ZN5wsv
+aWgO9h9O30pBS6nFOZfRImSoerar/yHXJ8lFdtRSULHYZejio/eIdFpuv9SZ
+jpkPl2zZ5tWBLoc9ex5cL8fYk6lckSY6QrdNj76j2YmkyBaFt5pViKU53NhK
+8n/R0Z0Rk/JduCYXbituV4Psgr583XEGvi6aXxat1o2bWLf79496uB5gMX7k
+MjGZIMPhOvTgzfWX/XmrWzBdqWXc5TYLqhGuT5IKepHqbWPsEtgG/5xu0dth
+bPgkVh+WMulHYcNhh3UrKNDbF+dbSfbL9JZbmvePAWxMn2UuVCE53uDtkYAm
+LpafXq0w4/MQ7H6tCbvn3Au+w/3GY8o8cBkv404MU3Fk5swHxh0DWMjr0vt8
+leQiib2qzF802Fn8M3lWScW3DX+8PKcJ4Wk9EBTWTMcNrWufUonvXtj94sAs
+Up/LbDYvznpKcvbKCb1FpxiQj9C0HV5KeNW+XWLxeSas5kZcfFnPhO5TakfT
+qv9/77Gx3GsHCwlzd8loLmIjvddv2iPS39eFaOV2LGDjWYSYx3R3DsQvJqqZ
+6BDf2zZH+UEnG0yXrwqX73NhzRC4JRC+nUh70XX9Kgdqh8dnu7wcxsY9qpk3
+ib+ZvjIqzFHiQvbAVretj0kOc9Ch/SPnOkHTbG1GLBfBy8dOTV9NclZcWZc7
+4eott135ElySy6cfeRO0jQ9G8au45TOFyM+WTRZXHYb/3aDJFU58PBxyujNH
+KMDB2MJ3KZuGwXRMSc525aOip3/3A5oA15uFTgMbhiFh4m9V7cKH3dVD79cx
+Begq2flskHijT03cG0V7PnLKb1nrEG+sjcpRyavj4jn9tbiEIR91KeNNmvJC
+vN9XOrf3GBcl6snUEiU+UqlnQmMJn28t/Ws1k8rBekON4j9bedhm23DmBcmD
+G6SOb3AglBN39Alu2kJ4Kab25h/xK1nXhkO5kWyMLLqiFqPCxdXhMyFDhFdR
+nYoWrjUsMP/VlqrS2Nhe+vG9h5YQH6h6/objTMjMyl27K46FW5cFXS9JTgxn
+7tb8qcaEe/3rO6nGTHzqfaHdukII33GJFzdsGKiZ9BtRYdExsMu9QUD6mn2k
+k5RdIB1eZausS2NoiDk6TUmFeNdap4XLx2/Q4FildFZChArey1wtBXcB9s3z
+aTG+RMWdDRkRYu79sDo9zTmO5H+XrCX7PKSHcPP2jgtbRHogFL4baI0aRunN
+I07rMQBtxtmaOdQO/PUe/HFoBxctU8k/EpL6sLX9ZKWZRDuaLNfs1V7BwTqT
+nMx76r1YfTJk6b+zrWj1NJQOU2Hj1+KgJ13t3VCtM34rcGtCYWXpIRNtFujT
+E2OfvumCDMtmcb1nHcyPfX/IOELq97eOexXJX5LxUUt8/1Tj9cRlibU5xFs0
+9CfE+zrARbeEkUwljnbIPL2lxIDx3jOPVJd3QNYaNY4ry3Bs9rX4vAQ6IhdG
+fEu6TcGgaVVCrGQJIjq+6hmQ3BP3ZPswX5YClej1R/Y/L4SFmmXtvW4aYvPt
+WpYWtSPAcKkx3SgfKe0Wm7USaODEPltosYSC9bvD5dZJFWFmn7/kSzoN/RPL
+e3yTKfjU72H/5FwJfs57auhoSMfUyZirPzeS5xwILPNJKkOkf3xqxHM63u6z
+KtYWdKBlzoQi37ISr8yF8UkrGPhQ9TN4Y1UnnIwo0Y83fESI/deRd6UkLx9W
+bKor7cKPr1am/xLqsMW7eF/HSSb8dHOOug52w2gNPflOeBMuHv37Nt2Ahekn
+YozOrOhFUOD3je9CWjGi+lNotIQNzy0mFxzu90GW7jPN5d9nfA2xe1OvxkGL
+Q5i8pcYA6i/wfwvKOyC9auuCBrK6VJ65eOHwIM5ZxD1+/bEbSq/0xJYHDmOm
+zMXtf45QcXdEJVJPrB9Z0//Wm5Ac9eiW+JiCGw1Fl645HT0zhO0mNxwl1wmQ
+8E5epcWWjkmnHTkv7GjoO/krZz3xNL+e6/QgkrMvPz/0aTCKDlUdqbWFqkKY
+LQj4tmeQgcnYJR6/WhnIjo++sI3061/Ju2/qpDIh8chFYDWLhS1ebicqVwsh
++nXU9pUrC71nfZvfGbNxa9zXQF6T8FBx0+7D89govrH82NYDHFjuXWqvRvjm
+8iYm9louG9085bcrXbj4tuVrUTPJp5VPWbuxlYME+ipps63DOOGWPDWdeMgN
+i/v1+/M4eCf19HDrn2HISS5KSCdel+Z8dqKR+Ixs50AIj+TL59zj5S8J93af
+Z85ts+AiO/GF2VI2DzWHNQ5MbRHiuajwkIwbFw/kJhhWsnxkzag59ZBwJnVu
+nVf4fi4yl+8vbRbjwzaac8ifjJtt1hNSdLg4dO2ltHgND3pHdr2LJPOIv3UI
+FOdz4O40uCrDnoesObzXHMKl9SNl5Y7hHIR2LaqgZw8j2/qGXBLhc7/Wb59Q
+cQ583pY8WEh889vQRmqhvhD7qA8EmafYUFT5esNpjAMlvZceOwmvKD/ND2+s
+ZyFqW0LDKxYbdYxr5mcJrywCTv+nMI+F4KxpCChjYWvZtNjthOcrtE7l8eyY
+8HJu1p4fwYTe3thNdOLVP5U6RpdGMvCwdbVD3nYG2HbU1ftJn0pfM++cXSUd
+IxNn81Ml6DjRRf/duFgIw7fr+EWkDzocTFFzJn0wTlYrex3pg9YmHp+nxqhI
+FjYoXvs3gG0OywyU4khePz6yc/DPEKZ6QrY9ftKLw/SsZ4sNeAg9xnwxsHoQ
+f5rPlCgHduFZaMQT22+kD73U5u0N6UfDjPRWkSgKnDXnT6hVc3A2bvJh0Xgv
+RtaJON4dbsOLPU9O2eaQOrJmhFx50AO7Q7/WO0h9QuZDz9kfi1kIrNe4V3io
+G4lfniYptTRgpvFB7WdDTIgcsqe9t+3C6JjRrV0qtcA1YWuIKhMvsidVDrp3
+wvHXvojm4SoECI75zL3AgF5XYP/1xA7M3yQmemJ9BU5fi0/nC0kenJVkqUvy
+nYVlvbzGx1K8KZUP55F8dyE6hartQUFiyuYH576+g7PtSq1WOTpO5/+9ufZb
+O75zPpuF1xfgXKea/LZKGj7O2R2m+qgdrJi/J8av52FAxns69zoN8uHzzbj/
+2vFrYoGlinohPpg7fDBoJHkznFU05zQFDRu+nufaFcOtx2N21CI6iqQUaa9F
+OvCW/0+TuvoDmM+johZcIb68Ny1vMKMD2R69my3dKrA9TDJmapyOuqNe8wNP
+dUK3752t64JqhPd9d7AMY2Biv7fZrP1d+LSv/9C6rbV4v8fuSulKJloqdniz
+PLoRn8P1eMBoQK2WqfAvg4mRU3f5B+73QI0ysNN55idURKwr+fmOhVV6UWty
++L3ogm9tJqUNeVc7GX0ZbIg467ls9OhH/5wJ3TlkndJj6B80cjngG6ufD502
+iKKMKw+/anfhADWoapRCztWlI380SoewpMD29X8be2E6FpBSJcNDWpu24t56
+KkaZa6XTPQbgoBJXWejAB8tcUzOrlIbE/JRzWQeoMErspK55LcAzkz+ROyLp
+YCamnUp9TcPxPV/mXiP9N3+NufxDMwZ2H29fcaCbDorZtoAPpF8/Sl1gKfWH
+AckzW0Qv/WMgtlFTj0P4lrS17V9cBhOfgwJn3lzAwpMHEq84hG+ymlSRLbtY
+SH3yZr2yKhtrFC49TSf+dlpOTj6awUJQpGavmCwHvEO282RJPn01u/Zdlwcb
+suv2ZjnRCLd2cA9LkHP9sP68gW4beb/VQEL3bS5++LwfDSJel31YkTZzKQff
+j8bNtptL/Mv51Tkn4jOR05T6Cpw4OC53tzn22DCo1a/rYwgPI6nxd5/4cTC0
+2Cdv8jbJ7RcWOS0inOmbMXdi2JMDs3rqsY1Xh1Ed677mJ7l+fsXA9W5zDkSi
+T1x8bjkMvTRKxyIy7rL9rpPLdA4W5iVP6+rnom9T6FD8/3/PIH9/ivqMjWlX
+CmqeEI7+89M3DyR83v/slqv8ejaUK1WDDkRwoDfWXl9HeB6+psFR/hkLMhjq
+EMtkY1naZFwyyYPlm1FVLs6CTbXXlZ7XLCTeMDOdRXj1i/HX+fNBJprSLIza
+kpnAjLcRGsSTA8rMkx5lMvDN3PQNI4SB2kyHggXLhPB4+2HhAZITXVpTtCn7
+6BjbOODEJB4e+fboGfVNhGNCue7N62j4/r7RPUtZiL12CtuLdtPg27835zuG
+8OVEWbaPggDNah0HpNyo8C1XL53604dlnN5+1Woe2ecFGmbjg/jhl91oNNCN
+VZdiAjOvDONC7f11nlYDcIlNPqD0tQPUG1xqnz0XqSbaq0JL+kArktGZMm5H
+blT50WFDDh7+Vmmqsu9FvvXu/sqGVvQzUuNdt7ARriOufEKmB7s9bEeer2iG
+yvvuTzOcyXrN86t5xO9CUsimHLfN9Ujv+Ksoc4cJUUvKjsEvnZgeyM0XtHzE
+tdN3JRYNMFC9y3bmr/md+M9BVkGrpxKv6/dk/iL1neassVnivw5EWvvlxtuX
+43C/nbhNBR08hS+frMooeMo9f1riyHuIJIfMUdtDx/alXbr1RhREKfYanuwq
+ggXDvNtznAad3Kkd3m3tmNrTyH8nyEfDfP01P7Jo6BRfKb0rrB0Zgl3KrpRc
+MK3OL6w8Q8OixL9v6/rb8eq0QWypYQHSrsjof8ulITk8UWzSioLiF8vk7Ne9
+Q6Tn2al/UzSceuY7Wt9IgdaF5Qoixe8x5Ty9l3eA9J9L0y6IH+9A0H8u/buD
+y7ElJDniXT3Jm5WTjfaqnajbYyWl868Sy26zXoD497pfwcGS451YYat1qZfz
+EYrb93xeQWfA9sTjRZYjXYj79uj2Y7N6WP++Al4UEwFZMn+txIlPh5x/0Crf
+jF8vFL4c38fCpTgFL3PTXmSk3Lop97oV7pfOHazTYSP2onRR7KM+uOibZbyR
+bsdEk63r3ZUcbLH8z3dcaQCLb7mfVEjpQFb47Wg+8QMbae4Om7xBlNTWb2o6
+3g1DutXdePthZOTsD03RoSJmID8qybkPTR0bmcxQHqrUC3cOytHwrG8kfeD4
+INLMRBddLOPD3NF2QT/J5WEbN4TJ1lCRtWFZi4YoOY87uiPGMuiYtXyP7WUa
+DbUmo63GpF/37DHdo2DPwNU784OffSHc17SVlFMXouaFgU/Dd1IX5fQrAeRv
+dGdAaSXh260nyqeCbzJRxNL5sZ7DRIS/tqQB4ZvD3z8cyfnEKzguOjrVLNQ4
+uTbuJ+c0xiI/4ustFtbN7xV2kRyuWRIfoUDO9dOiqKmnX8j4cMFCb8IttU1j
+NxwI90qqfrkPbWajTz9FZ1cSB1t/difN2iDEHZG30Zu8SX9o8W+MJ94UGzTj
+qQbhYe+mk4OUK4SHraFzds/mwvFLVXEWGX/u8OvutyA2Dkm4fMMMLipFNG9c
+JePWZdQbF52IT37L0WY3crBfc1lwMZn/SZRQbY8yG+xod2Yy4R/ldfalfYRL
+lhUL10+Rz2M0Ge89PMjG7G717IPEo/ZLzb6/1omM8041z9Yi9+/acJdOeL64
+5qw+r4sJx0sFBRNuLBSXWsr9XCPEqi+ebYmWTIzH/byjGsTEFlNRThbxq97l
+C680EV4pDx/w1rjIgPDXukpFwqtF1BtbQ8QYaJORWx0bQMfmIzem7yVenftJ
+hP2E1PvJE4c4z4/Q4KbplBvw/99RyxqdDo+mIbfFwFdjFhVqz79cLPARQEv2
+mVNfFsmNSyYvrJ3qx+tPy/KsNfgIDhxUWJNEuHZ1mtqPvz1od/t3O+rHMNKd
+qGyvHwMoXN/2i6/ShYCC5oHTTVwUUDuaIo7348BK7QM9JyignpLoDsvnYE5X
+1erpf3sxuHv3Q+svbcgvSOc8yiPr+FTDoet1D8RZ5pMXDnzCUeMrEWsbWchR
+XRZuEtqNLRb3lfUsGqFeSj3KI/n5Uo3THifieY51VdZhGbWwuKPcLU5y88BE
+qmtmdCfudLH39F+thvKVz1q6CQxUvG4ZWljXgaV/m6jHGiogoWX2fsssBp4J
+W1/8VOnAm2vzED3yAZE5h8rH4+iwvCc6s/AWBbOfR17fM6ME+yt7H99fTwea
+01+ny1NwsVn1hVN5IXk+sY16fTRMHmy9z3zbDvfus62+c/PxPnaGVdM94rXc
+7VGcE+2QqgzqLVyaiydFI/O5ZB80fh+z2/C+HVozrb4scc7HEoZMi1QyDQYF
+J/ckkrx5UuV8a7BMERKS9L9wSN4M6b4tWvGArOO7mgVKdiUwFrGuctKnI2bS
+87Hpyg4svFCxXkOvDGm0zQ66SXQMbNZce6m1A4/w4Gc8pwLNuhutlssxwPdb
+u+LJvU7EzdvDVb5Xjafm5+OzkxlY9kXu/gOynt6t1paumbWo3PRlpy5Zzz9P
+IyhhQd3Qv7R4z661jRifH+QcNMrES23ExCb2oOaub3CQ4idsTNrw/kkpC1bv
+K3xW9vWiPS26iFPYBpH15S8NH7FxYqlp5AqDfvzIf2RSqEDByOb7o6F3OTjl
+tn8k480Ahvbcr0tJ7cSAIUfxZCIXAQ7hGTlGQygOLI0e39cDmc995udyhvE3
+IPNYgzcVW/N3Luxf2o+XAcqSaRQe3pQ/nnFrKw02daxOQ9EhJOmIbLCZ5KOd
+IdVRO4+O5BXq0okjVOgPakQ1KhEfWG91puMlHe5/s/epsmkQ1X+UvIvwzeKy
+dIRwKwNubocuzqPQkdT9hfma+Ju75PCa3kYGTi3W+2mVy8DFnZHpPeTcjRgF
+BdVvZ8KfYh79JIQJncDryUXknN4y71wUWMhE9IstS/o0/v+7n7oiA3KuS68e
+LMuYy8Lh4F8lHz+wcHxUXdGScK+5c0DJw4GFuNWMu7oabITadut1Ez4ozLr5
+wOcqCwLXfSYxZ9gIPCA7a4jkXC71xpPG+yy0d36mvIpj40OZ62w7wsm8NLvx
+z1Es2Ma/cQ2KYOOim9yhlWQ8d/uOhz98WbC8ca3c0oGNJLvo4yfJPDLD/xmP
+6bPwXOxuks0EC/F/H0StIPe9nNWrkcllwu9PkQU7mPgmm9ru+P/vqYS7hFlh
+TBSOzZhu3M/EHYP15rKE57crnpf8mM2E5gzDD8pLmNC6+HqH2wriS1lq/wJJ
+Hoz/8vuXkTUD2hLrlP4jeZBSlG+c/IcOcZlr4guP0FG+csZNecKr/IjLL6eR
+1/g6nHrFl4Yed9PKx4RXG7poLb+JZw8/GQlYYkqFV9K11qvxAhSW/wtd3Uv2
+lXZqUPvJAD71flrj5sPH5faawUQJKr7E5+28UNuLl/0hxe2WPNzoPTVzMGgQ
+06WyXo2KduNAu9dB4zXD6LJJyUsb78f87cY7Xx3pwLl6k2+KSlykRWC9wa0+
+uK+v06jhf4asm4/OKyUOPiufEYsw7kV5Y+nWnrRWpGy6+TeAeKoTO93IZ1YP
+ktj/wtevaUZY8q2nxcS7uM/2zNr2pwsP4/XU95ysx8OdQxTHh0zMHLvjzpvZ
+hQvLW6XnLamBgonea1shA9sRtm1cpxMLO5aozdxShQiX+c3OTgzYvTtrcfpC
+B57v75PrKyuH0aWD1Ye6SE6cFB+nD1IwM/hQ6+ctpShGPMfBk47qybHg0f2E
+J4F9qjoZ71C1yuZUkgwdgf7rJNcK26FeHDuU/aoAu63SpM6UEe8qlC/qi23H
+8+7ztAeb8pA4qnBz4hINSpUzBg3s2/GG/q53VmAOhqdLbYmyp6E1yM8lIolc
+j9vvOcF5aDOJ7a8Pp8G5dLPNkfF2eN/jva8eK0CG+qma1Boa3F8WH1hPcpoZ
+b2LuUZJnMxncEy0kz0r06TbbcSl4NTex9+jlUjxidR4a96VjbtS6h7zQDhRs
+m57c1lOO0/bCOY/7iZd8sHH9rke8tC7mMs2mCk+315auOMDA6mC5GxvJet46
+9UE5WaUG+5zKYloFJHefMzTM/dYFpf72jeG29VhhXP9vdywT2482Rd/+3Y2j
++y9T57CasEXmpFmlDQtJwVMsg0W9uOvBNMs82YrHq86gTJGN7pKOlrcH+jAh
+YSd27MFnPA7seBT7i40G714Du5x+HH9p92EJn4LNEfu8XIY5UI3dm3FCZRCB
+Z4Nt3rl2Yevmqt4+DhfFJdSxurghKJ0V+qp+6cGcHO3eQ1+HIe11V8v/JhX3
+VzwJOHunH6oZbOn3UzwUxexSr9pJg/iPystaOkPwefjfvUFZATbUjS3WIvs5
+o9/3vxlMKhzxan4a4Zto7oyTc+7SscdiQq3wPdm/H94bikg+vWRlKH5nLgPG
+ub0/x67T0RSS6Z1Azp3/VMeZ1SSvK0rdMV9I+EfpFm7TJ+dUZ8uScA6H5NlD
+2scOUBlwyhI9FEK8rl9xm2rPJiaoifGxou5MmBbefHiAcK+OIh1kGMjEjfhL
+F7bWMXFrU05WLclZn1+LrJyZwkRcTddYgyQL2/y2leQTbtTc+7waOUwIvj6d
+fm45C+o+tluUCCftSqM17LKY0G3crrRHiYW8Z+drv5HrA2NOHvx5m4mv375d
+XMMnfEqsCbYg4zPHPH4N7WciuOfxyvnxTFjoL3JUIfeV4P0XcGweE7HbEr2f
+LWOic7XX0TOES1t9Vv4WKSTnSXzf3foYBppakiYOEZ7fcN354Crx/Xs6UU3y
+LDqiPHpf/v/79rD7Hz5c+0zH0qZg/9fqdNS+V4tZQ/Lg9RkVG2xsyXU2dgc7
+bGk4rDRZsI7waobjYw6H5BjZ65l/64yoUFEeVNtwT4Adn6J/1POoaP97/+KM
+3gFMN7y6uPwaHx+js1e2rqJi98iS84H6fVCg+c1VPMNDTfby1Pz2QciJBr7y
+etyNiyNHWl8dH0aUJefXNbcBDPjp7qxW7kSB+HelUHcuVNjCS/0i/TjmR99w
+r6Adu85+c3jhzUFeeui78fxe3GiSuoZzbUhLbVyykPi12OQsM7NrPdD1vvOc
+1dCCDO15H0dfsZD54u1rL79utP5+eVdLohGxGjMuuJH1FlEVBM082wWxv0L9
+0ym1EA0qu3DUkORpU7/fjx92QmyV7r+Ix9Wwtthg1PSYAb9cA6vOrg4cPWJ0
+RXVaJcwP7v22U5GB2SGbM1laHfAY8jPfcL4MrsM6G/48JZ4qm19z9SkFQfY+
++t8SSlCSLNLJ3ULHro5jm2+vocBUl9KW6FSE2w0zl8XzaKhI/nKkqqYdIx2B
+Mfef5uPQjzmm557RoJLPDX0Z0I4P0uc/ZhzLxbSh/tqPJ2hImDuu+2hzOyrO
+/H3KaH+LucvyPH6Z0BAUPLDO5CKZ5+b8XpvMXGTW0iOunCLzyzw3EbS2g+cu
+fRjD+dhhc3NdItnXTN6W0jZd8jzuJhzRJ0UQMT8S3PqNhuLwmKMqLym4fz+r
+6/VACSgNia4vtpF6oR7tyDfoQOfVZMvIN2XglYR+PZdOx5u0Vdwj/R3omiHN
+/yFbCcVtX1ZeUSa+Or15SSNZz52mwVKqT6oRqpAbxSPrqUlx7Gnz6YLO/ZP3
+3W/UojojfbaDHhNrmp8fi3bpRs3mW8sUGxrwJ2xxKWWQCflrh91uHOtBsFTc
+oqtHWqBer1U1K54Fn0VUNN7oxfiTbWJ5q9rQ3XIkxNmdjd4J8Vn8sj4sVb8i
+mbmtHQodlU3TwcFcRb5zgsQAKA5Lr6660gGFoIkHM1ZwoSfalDjXheTQ/LOS
+1M9deLRCfGxq/jAifVMjD70fwul7Th9+bOjF81+Xb+rI8KCWGLzp0h0q/l4X
+Pz8vvh9rtmXQxUT5+Mlwsk8wpIE71XZK6vsgtJ2uLXIa52PxVTvrbpI//+3f
+IRmbQEVrrFyIKE2Ax5xgruUhOkq3W+le86QhxWOeaCQ5d2FF/82dWUuH4DSz
+RleWjumLm85wiNe5FX2/CzUGvsSdl1mXQseBbrUZPwn3vsUMfdrpxcD3k30v
+VpG63F6SsOE5ybNOG/z3PUhlIFzxeNlDfwZkzUrfjhAenk64cMSyjgGp2Ylr
+br5iQLCE1lxNuOG5eLI+pIt4ToPr4YmPxA9XpN1bRDhp8eiGc14rAwoDV5vl
+SxgoEgp//yDXr5IemizPZ2Cux9CZ2igGDqkYvHUi40e7Z/82vc4AtaDSQH4b
+Aw5vqP9tJ/dN1tmhup283hoj83VeHx0L3kTsqSNcevZ3IVdllA5bo79mfvvo
+kN3NFtIJlxI5kt/coun4+k623LOIhhsBI7HphP8Nn/67d4zwCxz69XxxGtaJ
+1pSuUBZCOo91kHGDBpEu1eVNU6QvHak88ueIAN/Gxz0xSAXf/t33o68HcDVi
+g+2SAD5853VJ/tak4rprghhzRx+evYuIKQ/h4T/TOYkSk4PICP5eOX24G/Zm
+9h+8w4ch+6Mg4n3qAK6tEVYw73QitmRiqfRdLg6vGLFds7cfOW0iEictKcjj
+qztteMHB9b+v1jyU70OxrZlVrfJn/B4T2CXUsGF67HxcB7cHkkYFCXfnteKm
++1iK8DsLou35Hu2Ubmz//VHPyaMJ80xX2I9qs6DyI2ft/N4uVG+kW3j8q8Mu
+j8yKoiskv8w2nH1ivBPix2fbrRn+CN8zM9+eoDNQ9223juT6Thg9M7t5QKsK
+19c9KLq/j4GdL8Xs717ugKD8dMartnK0afXSf/fSEbxtaPzKMAVSRefN3t4o
+RXCqeU+zHx3Fyl/j8o9TYDBrx0+uRDFeD4aEWinQ8UFG3VZ/oh29S74vcVYo
+xKb5WWckGmjImT1nzb8U4lHeaW7tT/MgfH2g61EkDeX79H5WO7ZjTPPUpaeP
+chCTVrDjjAPxq2lXT15a1g4LwaGz0pvf4kzIsQhvHXJOYvLZQ27tmMncFMBj
+5mBwU/jJqIM0hH08tnPoZTvsZMLKwkby0LyTPm4eSwOt8m94sDgF70O490rc
+CxGz9qnBWBsN0tmbd706TcE826wArX3FqHqS3/JvEcnFL0a/Lf9OQc1i3e7S
+xlIc9XV3iTtHPH6n482L1zuwd/tjsdLhcojp3CzqHKKjkeIVpU88Vu2o6Fkv
+wypsKrsg2+7IwFtfit+isU4otHzSeTvwER/OHVBYSPyCvqH+ztbmLkjsbV5T
+21qHr/uabPKITwT654ZrlnYjd9HPh0vkmmChlLNjrxoLzygynlJVPTjK+qRd
+nPIJazd7fz7Yw8KI88/FSf29mCOa9c63uA3znFITTB6zkb5cL2BMrB/57dYn
+/cra8VGv8KOhHwdrCmUvF24ewN3FMl+tuzuQP3dgltF2LuY7LFp98twgXlhV
+LBif7MLn0iKrzyuHUZxRdHBDwRBs3au2bF7di/BjK/72ifOgfkr6Zsg5KpLz
+bzvO3d6P3O6Pm94weMiOYiTHz6JBMUns5Nw9g5i7cc2N1wV8GLoGa2xJoMHK
+opg/bzEVbw227jgULIDz003P782no7PKwFXlOxWPtrgI+ojXrVahBw4dpeOB
+ZcSvwjPELzgl9gWEe1EtGyPCM+hYbiYW84lKw/dzv3YZEu6VLLjImEd8ef7L
+FhVxHTomr4naHiZ8kIlb+YI2QQddc+J+KZnvv2s7a9QID5sy/8kbSTEwId49
+SyeYjnnbbfJ8ybi7h5dO5gwGNCgPS1JP0dG9uvG/7WS82UQjZIxHh3dShPzX
+7XS0P2CsfEfmt/p68v2rcjrSGi8Lp8+kQ/q1hk8leR5mxtul1WGEvwsuvipL
+o6G9pL7WnXDprrXqDrtNdKwSDbsYto4Gr2Jbv5eES21ODsuiST2qzQgrN71I
+xavVQ8/VGgSwjIiQnGVNg1HJ4Tir5UMw3RSu/EJaQN6vL3etkIp33deNilcO
+YJNU0ZU3xnysecso2kR6XsKz05/XzenD4Q92R1rceXBolLy8/98gJo7/laRw
+uhEn5+g2em0YbvTLF1E2gHy/E3eKP3RCJ1FymttzLuoSmVPu4f3YoT3YWvmI
+Aq3QiOjLDRxESoXY2Dr24bPjHIvaqM8o3tGfF/KDDcWFgQua9XoR0iLRsjSh
+FeWM6UferWEj1tJDH6t68Pl6pb7f9Wa89VQ5cdebhfc/LS5rrO+GiLKLp+3y
+Btg1rppxvZQJG6XNVqM7uqAn0xEVP68WB4va7l9fTHx6V7zy7cudmO6rNfjZ
+phpPhry51DsMPG3TUeQ0dkDCyFvvSVcFNj2+/Y43hwGlkbF5qZod6LBr1Lvg
+WYZOplfUEdIPP7aZZp5/TsHnF+dLggtKwJvlcvytCR2RrUMzfHUouFL44eDJ
+qCI8SjYwW/qVhuwTYjX5xItEN544U83Jh5HzNHoA8aIlLitqAi61I3qBgcaL
+nFyMfmIVOfvToK6evv2JUTuku2TE+2hvEX6yP8fNjIZ+secPzWXb4UShKjm/
+ysa0n/lNustoeErvGONZtuNJ6jGPI1o5yDcNst5tQ4P+bL9S1k3ib8cmDmhK
+5uH2ln0rFC/QoKdjdlR0sB2zD9ea7zYvQEvUEcVPeYRjL56OSW+lQOfkWLfS
+SBGurOVdzftNg8H/KjjvcCr/P4xHSzIiCg0hUUaJSpTbalGSUVFJQ4iUrERS
+ZiENCqUvLQ3J3hkhe509rHOOcayEqCj9nt+/z+V6rs/5PPf7fr9e/1i7PDk4
+h4JZnrDQSolSROfEGTDNuDCa3f6obScVCfcsi3QLylGlvS3NgJirIbuwq/YU
+KsIXX9w8f6oSwwU9G9jSxP5PapUgh9AgWfOOoXOsGqYLl9M0CJ8Yq9dsMtlP
+h16DMeeIYC2O98js372qF3nnWtNMFRiwHq3L//6jHnb5b10rcnoxLbsjdbEY
+E+cOt4+bqjdDrKf/ygb7PlytLk8NE2Eh3XZzSYplG2ams6IERftxMvihnZos
+Gw06h9JKlEiYMUq83F7fj8NWb9YLbOnA5kIfyxghCtbUiRyujxlAUPCznG+H
+OuFk9Uk29zcVa+eErD4f5eNdfsXF15eIPnpj8mVqlPDmD74pE+sGEaJ8N70u
+oht1JVyvMAYTVXqHc3YNEM9PH7PUNe/B1IKRG2s/sRGfoTvP5/UQRr/mJgzV
+E1ynE+6S49wJ47/ih6OODWN16LuQC7s4uNijHto21QWS3F8Fv19E783V3W77
+jwOVNuroF5UeNIyGauqEjsBcbVJdn+DoWNnMLKu8HuQsDZZ4PT2Ch8li5fuU
+uci6OH3URoR4n9ni8B1EP3gtfCsUYsxF0JXQfnOCH188iVvLJZ6PLIo9rG5B
+8FDMqIuQBQebxjLVNxA9aSf21oWxj4tMrWcfO4n87c0fMRAgnpcnZFqqa/3/
+7x3WXJHnIKdn07dA4j3s5d6DL4W5oEiFpgdzevDy5VqTk0QPewbTxz5UcNCv
++XBdr2MPrl4543MuewTlBkkZ785x8O9kgIhdUDfom8gmaZtHIGrvXHh3ugen
+tm84xhXswu1F8w7ueTyM47T6lG8BPdB9dep2yPEODN80uDM6OITborVv1Me6
+ETlfcq1ZNAteRhrp/ZuHsPC4tVs0ows764riqWkM9B2+4CnlPgjyKr2YlcWd
+UL7uFFmVR4Pblfe2lS/4sNGdHp9K6sCvFxcUw75QsHwZlfSDMYA5ncST1cFs
+zJSxIjroJJwRcsxIkRzAs3tppT6XWVidudMv7U8b8tcfdo6y6sd7C2q3uxsT
+oT/kzop4tsCmpXNVw9M+4O3V2RQ/BjrWeEQaKTQi45Wz49Xvvdhw0sPH5Akd
+b9bGMYWk63DGvi7ji1Uvdh6V6wtrpIH/hDz/jmUNcnMbmh5U8WD16Db17nIa
+GNa5w+VtXyDfsHiFqTHhO8YdujNXqCAFp5EuP61A/Mv3QfPbuEjW+ubpz6PA
+OjJcr8ThM95+vXrsvjsXWn7fR/8Q3CXtPaTBFC7Go1vWadcJ7voc+a7w9TwK
+5EhDXZu2FYDJiyhVbuYg2eKfSPNbMsxnWn9pk3LhmB3i6xLLwa3Si/u+niZD
+8PwL28O0bEyLtsZJnyR4uUJnV5ESGapnAkXe6WShOinLgKPFgZFhHt10joQt
+J8yiN23JhFfgUvd7KzkYM9QXIG0hoyKly6w8NgvLl+x7Kk3kdCJNekeMBxmO
+y1XtpXfnQDP0s+m1C0RfUdccXFVExuTl2LCnJnkIr2ne1EXwQd5ywxxpSQrc
+1+wL9MwowCpnCwlnJsGNKyjnaNcpeOMt4fo3vBiuQhZrFylxYb/o2q43Pyiw
+ah++p0n7DB9dpteLa1wYxLUXVRMcm6f51s+OVAFJXfbT1YRPXF3hn9EuT8Mr
+mz9LPWe/YIQTOdhrxsO34xJhbe00TBtO9bleqIGv0eOqv7U8bO1M6T3zmA4l
+jePevyTq4L9dQWU98X2NaYHy1e4MvF7G0wmYbcCf8tdTrfxeBPd7xq2yZuLP
+3T61wNUtKHNZyc++24e69cYL1PayoL3xFo2d2wbNZVVbwrf1I/t39g1bYzY6
+B6JeWLiRkH42tKK8vx/HGxTPN5l24KG5iUCeOgWmZdJRF54NgJL7+MmX/Z0w
+quNQ8r5Tcd15vFDOmg/xhOTFUfu6IPQmJCTvAx0Ws4rr1RYNYsOzgTOt+t04
+eV7pnLsNE2Z9TZH0rEFsf9VnrbysB491FIYyOSz4u9xoc7MawsbBxH4jgusU
+PFW+G+3vgD933fkTBNcJeC2ozmvrgV5z6kHrm51w/MAfXnlmGIar7fo7ZDk4
+/HKVav6NLvBn7qgP1w7jhFNt0IIjBI8vygq4vbsbi2V1fntKj2BRXoSzqzfB
+c8IXPJ4UduOds7vG1n0j2Lb9xOYdtzkQWzcomMDvxuaHZ2wT7UfwPeQQb9if
+gwirYpuKxm6kjRyv+24xgqP7hUciCN7fouuzZ5FrN9Id5tUKqYxgR9vG+gIN
+DhLGjmRWfuki+vtfHZk3jDf5e/Lchwguan69o5zRiU/Na5buDhtG4Nn8mNn4
+HlTVL/eQy+mA8HhIaJTYMKrvpQbPbe1B5wbp8W57NjzHWpOcQ4YQpFn8uonY
+F+0SwSejiX3BlNMOArEvos6yHrgmdOH4SM3LI7oM3Ov2kRPAIFYcWdsc8qwT
+WVmfDx29TQMzUJ/yM4YPyb7i9RcSOyB0tPhPczkFl5cW0tj0AayeCfTnx7Mh
+NF1U8vwPCQsnRx0CFQYgfM3rtPQTFpSmj92ONmqH/VExn/Me/WhcKml7MoXw
+xIF2IYWNrSjx2rpjrqIPT3w2qpbnMbBGbUme6W+irwz8n8it7sMnLW1LCpMO
+fhWnNORPHW5eiFGPIjzR8Zf8/EhxOo50V/9bvPsrUlasbTs1ycPta1rs3mM0
+hJbvfHKlrApZZps4h67ycLFURFspm4qts6GGi4MqUa18S7z1Lxfnemq+FchT
+cf9y4PkigXLU1F2/NPCYC+Gd/snmKRTYrviUcyuqBPe8KsPtdnMxwDhiKkRw
+15VjL768iC6E7ssWEfYYB/WmDZnKFDK4bMnt6f/ykDahd7D7IwerX784tS6M
+DLsob84KVg4eiNwZsvXloNjQ5LSXCRn5z2bZRySysfXD2Qca+znYavo8y0eU
+DItIra3tiZk4HLQhWl+RyFmHPj33GwnSZ8T3dER8wkOdQPfnxL7t/9kTwlhN
+xuemzjPkBVlwjGM1LCXydOLnFqjZkmHiKngrOjobUrEpl1JtOJiW//lKPZGM
+dz99/cKccmGg7DvmHsrBog47Xcshog855FW0xHxoVb696PWZgzCNscbGAxSY
+3fmoO6hVhPDWY8/vzeNiyse4o7aQgn2UbYymbaWQ2rB96B6x1xUnDARddKk4
+JPt+/qWP5ThWa2Fg9JYLKfO4qp31VCg3Ns070lIJn427JJaI8bBnl1alvhsN
+K/02r88SqIaHu7F7300eWF1/b0uvpSNZRmXvy8tf4bVvmWLCXx6eTn/pF+PQ
+IVhxVTpNuh6LcLH+v/Be3L28pdAzmwHZHXdK6kYbQTJtc6mT7YOvoMtfi1gm
++I3bSyijLchYv2SbYF4f1P8Jutl5s0A7JtWssrAdB+nysrO2/SgXSIz+5cDG
+s48hp2STSUhKL5bpmekn+Hvfv2azDjzPjw3csIMCnwSHLf+lDOB5awG9XasT
+TYKNuaQ6KpLvcMxmjfkQfrrsvop4FxY7Jii+P0AHa9mJsjtdfMz7ZXtqprML
+ewrErfdmMbDp/ZvDfZcHEX6kzfdSQjeabAbafKaYMLTz1xubGMSw0wuXf6t7
+ULhzqfBZMTbSqAy3QMKP3s4tHJtw6IGMMau9aJKNk9/EjbdUDqF5n+3e4Ps9
+KLCMiRdO6YCj0Gph+qJh5Kxst5DK7EGExKZAlmgnbr43XqenPYxR8wUGUqU9
+CH7vOz9+Ryf2hU7JypgO4+qzWiuR3B6YLLB7mbaqEz+37jRu0R0mfN9/WUVi
+DxxZhtd1KjrQf1TaiL58GBKNKZvbL/XAeh+Lf0mlA7rz/jqvoA1B8Eel84Et
+PfDOPVvkc4SNdR88TyfeHEJBX+KpiK/d6OJkKD7fwwKr+Xax7fIhWC/JaVwj
+2Y15v4UGRpcyYXz50aK7cYOY3M1uHyL2xalQCYmT6XQ85v/n60Hsiyj+uUP+
+Hp3Qv9RTtX8rDTW6birPLvGhefdibfWdDkx5DWalvKJgImjfy+6mAbyTX2Bw
+4Tkbf+4L2ZxdSsZjh5VrvVUG0P1sfNVQNgupcAj+7tkO7X3fGydv9UP4mNSO
+zkYmjjvPybhWtGKevJvtg+4+mDt79+4eYWB08S1KTX4TGv4kWzob9yFuxd6s
+gpUM+O6Y711MrkfbKzUJ4Y+9aGmYZkZZ0vHhvs7+tfK1GFy6cp+4Qi+8Uh8s
+vZJIgylFKPrUi2pIzmldc0jhwYRiN2c2SUX6SbkHSY5f0LfxWmOiGg876Qv3
+Op6iYt3ht6v2HqvA5uRx8q4vXKwMdTk9x6DAu+tvOk36M66peL/Z6sTFu8rI
+8+1OFFTYvhVo/lEEyQnRg4ZSXFjJk4K1BCnY/y0weBgFEHpyoU+/hQNLOb0J
+549k/LxvJaM/kQuj7Jp5rx9yQPediVt2gYwX+fUdYoI5sH2eeeSWIwejNq7C
+9ZvI8NzWseWrUxaGN61roG/nIMk+fJnkDAmKjZExPyUzsbchQuypFAc3x179
+fMYhwfFEHkrbM3C8ckPWxfnE/hONVl0iQkadzgvOYGwmqv3l7fQVCN6/OWXU
+DDJ2nRRRG/+ZhfyRv+LJezhoW+O750AQGR+XkVVD3+eAoRuhF+HJQcyFx7fa
+6si4ls7PZWXm4cr9VEv+aw5UPYoir6+jQPVE4rYYyUIskSlsCeVxwOy0vmQT
+ToFBDEN4mFYMz1K5Nlk1Lna317q7zlJwQHM3bfvCMjgpeWw4d4OLDeFBrjsI
+Tkup/i7q0VaBPw8rzYpYXNzX+neiSIqGPzKV39mUL/hao58rY8KDoovGimeF
+NNyYXE+qEqtBnJHS6N58HqKV381ouNHh/ldTpDSgFuuD1yjUavdCJfa4FGMT
+A0zlvZ67VzRAKDThYEBxL85/D74y/oMBx7K1S4SoTWjOLmWH7u/DGaYf78pX
+wk9bHRHzsRVmO1yTKtl9KJ4/pcd9xoKxq+/eF+bt8HhKX3ztaj8GVBRPmHiz
+IbYplbH2CwnFlstnaUsGIJuu90VpXwd0dn5YX7uFgnynP3VLnw/gUoJtyhKJ
+TpTMxfJJsVSoXX+lMq7Gh0y48c6g5k4wtEb1b9Jp8I0omT6XyUeZqtmcmh/B
+dT/IdWFzdCQGsANeqRD8turI4gXC3dCJ89Nk/GUg8bdvLOPeIE4fPT3v/a1u
+6O1/68FpZiLb0ill7P//t+361de67G5kCiz5mODKwt6akPwehSFk5TYuGF1C
+9NV+2yLxJhZer3+f+vHAEAb9LfMdpHqQy809e+Y7C3LlFZQTx4dw2EJB8a5I
+D9wiF0dtoLKg+W+Tiv2hIZAMtAonBwiPK/ppVXKTBcnFZjvJm4bgI7n1Xszj
+brAj3M9qTzCx6XvMePL4ILozNJ5qKHfj0kqdR5IaTHToxT4dSx1E/VgH//WT
+Lqz6FXXl73YGxpPOP/EzGIRD56U9EhOd2KEYs3TlSjpC97q5yjTw4XJUMahG
+txMulMAlgxQq4h2SRLr2EXxlnDbW6dmBm4cWZUgEUPDwtr7h8lLC+7g2nJoU
+NhbHFjBui5OxN/qfmvzGAfzJ0Y0NrWfh023nR7sT25GvLfOI9qAfweYRMyeJ
+c+dPWIgrK7Uh88whiZSZPpQuE951VZ4JOT/b+1SXZhx69XXu3IU+8IVPbbpg
+zQA3paPY9GUD7O6rfp+l9eJGT5NdwgM67v5TzbASqANtdgvlq0UvRtrp+QId
+NHClXUzZd2pwSedWpEorDxTB58/Vt9GgGFUll7unCmvubVccsONhYWCBXE8y
+Fa02h48+2FEJ2pkloQ/GuKgFec15aSp2RI119BWVYa+rh/XrWC687N55DT2j
+QE/JJ3aedwma/80P+K3HhVl8UaGiDgUHC1w+mDwtRMuvgwG24xx8V5/IjGKS
+UX1CfmiHcj7O7ZGIf5/FwbWUkIqAaDKeDB7MMBLNBXP6YtytAA6u81T635mT
+IVIyUnXFLBsKuyYMJg9xoDuaKNUuTQZj81mf7+RMnL4ZpLBKleCoc6n8+EES
+vJxOXEw1/IQgP9MVC5cQnhBoy2PTSLiU5XlCeVcGrhjcaWLP9iClu1dxJ+Gb
+7fGZCszNmcgzZmmFE77pvdmgfZcmGdYrL9bX3cjCZ9+aIdOdHIzID5Sru5Ax
+3HLpU8myHCStOvPjzxkOOIocfyOih9esYd/ZPJ6Lv9KGP+8QPbzldNlb/zky
+FFPLg8U3FEBdcvW3540cfNP8ktx4koKMO4ezRfKLMGFrMs0X5SLdPbxZo57w
+sYLQrcy0UixRYO2RtudiSEBxeJkpFb06Z0mhc+XQSyqS8Mrk4o5T76FLzVQc
+ZZRsGO2oRGUQ7+efZTxkL67MnzxPw7LLgQbM4SoYOp3fGxDAQ5BgLW9qCR2/
+9qoVvN34Fbvy+0O9xnhYl5GlPl1MR7bLagf1B3UgdVP8mG698E3SVLvrw4Dc
+2rDPf2Ub8er44lsz33rxJ7WzgbOdCZq+Ur1NcTNkv66P7vDtg3vo403P/jAx
+Yq66fFqnDYWivA9kgX5oNqtuEaxioXJzpc5ITDtatNw9TGIIP+18cUsjjA2a
+2FhLRDcJgePBRsXSA3CcrN81btCBXt0PZ8IVKfhcLT+yP2EAtDqX3UojHTBX
+i9V6f5iKh/7vFQUl+eAqL9ThRHSiX5hm5uNAQ861oY1+N/l4dJfX6CfWhckU
+p/Br++kIMn24XYzguiH5P+m9AV3Y/dLmRMkiBg5YnJ6a2jSI92G7jvs1dyG6
+5/3H+3EMmI44h5qdJ3pvuO3h03ndiJG2jAgcZeBRm1+3fuQg7D9VLWUS/BMj
+yL+uLcrEUFRUimj8IGyk4z/5zic886p5qdcEA5IrKLm77w5iQOTnvHXULozb
+qpdyUhnYK6Z5I911EHf3Wu77HdkF3Td66f5rGBjZsee8is4gsX8LBqPku9A7
+76r3pgt0XCgJmxUbIn5XwAJVW8L7dmud115IeJ9Gdf9SOuF9IsX3tvwT7IQQ
++byKqx8VpAU+E5KKfPhUbWz+eKwD68cF5905REFlUnXIh3cDsHcL6FtB9FWP
+EjXBSoyM0AsCWq9UBzCjWCGq282ClP01qd9l7fhCqhRamdqPC61lZ9/IsOCy
+0Ey8wKkNTrsvJkZK90NqjeI+eysmYsXzf7FlW6D9ylxU7W4feidrbsrfZ+C0
+yO95l30b0fv44cl3An2wed0YcoRCR8db1TK7wTp85bu9+XCjF+G2cjwRRTos
+rKK1PW58hawbr/zMvF4Ir8xLEg+g4ZnFtgMlutWoip+WWxjFwyOFCVY5h4oA
+8r62BKUv6HLSdNwjz8P9i/Nn649S0TIctNLBsAJieb8znn7mYvJUx2c/JgUO
+pKB6RdnPoE2tnIwguGuVmK9e70Wix727D62QKUaCYZ9C+0ouLreFyX4RpuBr
+0UtqYEABQvT1ewwpxPz2j6R9KiDjaBbdvXhnHg4Uv0joSuTAf2DXDVFPMrzF
+1rpct8jBYGuIsZ4LB+Gv2HbvtpExTgljXMzKQpRPS2qgAdFXIzq3jy4gg+OU
+ouZonwmWKtWetIoDj224SGeTICP5ocTrVgbE/LMNT/7rQdA9SVntFhKu9xVu
+zK76iNv3W9pqpnrQtOKsqcwkCUECBpP91Z/wU6J2JkecA0HRSgmpdWQc7Lz/
+w2IV4ZspM85HNnNwY0XXsmNHyTDlvS/MisvG3UtD671tifOwWobmPyFDSknJ
+/NbRXKg+l/Tn3+aAV7BrcgGPjNa2406rnPOhYu8iZV3IwcKtWuzd+hSsUO1O
++tRUiKANEn+tpzkwFbfPe0T4eNlCmpxfTAnc733WiiZ8/NXY6Y3uy6kwjsru
+00kvwxh53XqTe1wsURNo+fyICqfUF1XWUpWwrJvZfpXPxdWVdrt2KdBAHr7d
+dmpeFZZfli3kmfNgL7nl9M4SGnIHCvXZK2uwhxVvsaaQB0n/D+7mjnR8/eQ0
+xLGtReb1l3nr1HsRlcL6z1CMgcjeFpu27HrIGi9Yfe5NLxip9xWufWFg6KVl
+7m3lJlzUSExZqtyHoBk+79F1ghvcz9/6/LoFuRGuVlfe9OHe1+WHZbRZmLtS
+sC77URvePw9+uFa1H7ML7q3/b4CFbaJaBvHN7VDxSKDPvelHuusRF504NuzT
+GyLe/iYhOORn34F1AxCbmeob1OlA8krGtRUSFIQ9rXuw68EA5NrfyaGmAwz6
+/Y1LRagYecFmp08P4KmauF6dUSdYkmvIj3qpkH4iCG0LPh4scjjf9KYTHJLw
+hx1xNDy6nCy8NZ4P1gIjgdrxTng7hgzFr6DDOdR3R289HytlZrOOr+vCdwep
+0HvOdNj8pQ88J/qkXu5mst2WLhiwxX6cCaHj955HJl1TfLTdfF+qqNAFimVH
+66gLHeGMFQPqw3zI9UUd+v2jE1JJ8gXrVxP75IqutVITH0GPkwN/pXfi8eLM
+RZPPaaDt94yOTORDd27z7bEDnSjPNFhaOUHFgbz3275Z89HTdENreWsHImcN
+pxXWUPF5k7VW/N8BPF6VLf4BHTD5lnK9XomCe63eYY1E/5d+0P+Y9x8bNnG8
+e+9EyTDz2995muirCyrTBtE/WEg6vIUj1tsO69jiEKnMfqiO8Fd3G7KQnPXs
+wJsPbTihaopmrX68kbHOH4tgQnLHnSYtSgs8RgRbyZ/68Cc4M9yplYFpGaU5
+X6sm6AQY3FLQ7IPY7lcCNXIM0F4OXDnWVY/tl2s0N3/qRc+3b3w9dzrOXrY1
+OHezFjZn/imG6vRi8mCqe9pXGqzbX/smoQZfmzyrlSt4+HTw3ESSGvF8uYHf
+pfVV8CDZXdew5mGF7uYRO4K7rp3MLyrbVonyI/LbtQnuUrihnxCwmopTCzUc
+dIfL8E3Z2iQ1jvDEe3Jlh95S8HbhLXWdqhJ4V6Q6zhhz8d8tBX+aEQWHbDhN
+sTOFiHRTrZ6e4WDZ+LYnDXwy3veeMTWMzYd/eHHcmVIOFrhKP+E8JUOAe4R5
+/Fouaq/xx63DOagdTl8WZk/GUveJ61VZ2Tgllbrh/HEOBK74acQrkeH002NP
+hnYW5vL0B2q1iH6I3TL+a4oEd5Lp7OjIJzC+/SwskuAQ56lOuttGwoaozTp7
+ej/CLqNYxe1nDyyPfvE8WktCdU/7eZz/iFV6SbqT33swlHONZzpEgvmA8wkl
+s08ga8YsCyb4LUQqfY4mRUaqpYCicnMmti/Y7uCmwkF9Tudp9f1kzFx7e3rT
+1mzknvQzvWnOQfZE2z/bMDIaur/0RbFzoLfG8FmALwc7J47FazSTEbIujKfd
+mod9t+Jcfr/lQFxhYVYE4ZsH95IL+IRvvl87J3qP8E3tZdEK+sEUrIp8Yh+c
+XgzX5IjQtg1cvBi2OvhqhIKzE4edbzz/jIRTIqUCXlyozJcqLXSi4t449765
+dwU2jn2zl6vjYow1Ia45TEXDDxX586ZfcNlRYlW/Mg9p6zcbWAfSkETpLVq3
+uxoWccxYPrHXKBzd+GbCQ0r7lKsb7b7C1eb4Ms3fPBxONRNIKaHjMVd/4vqj
+OkhxXpIt3XvR8PHEE0snBmRrXOkPOA1Icwq1fsTrxdXh2SdekkzwnasPvdZv
+RtSePf+MTvXhn/lDl5JyJh5/elCr+7gVmZf33xWm9yFho2HZLsLflk4szKCO
+t+H2xiyKmkU/GCfu22xaykYXv2XP2aUkpC0oZvwu7yd8b/HiL6lsbIjTMdkp
+Qcazu9pn2wjfucE/9Y+m2gHXyt96Mn/I2LQ1xLAicgCSJgs/6SR3QGNW1Mv9
+KwUeKjcqI1kDOGfloX1qtgOJFyeylC5SMVfV/C5vNR8mNxyefjPsBJlq6inL
+I7zk2+TBpEN8jH3OT8hx68SzYLNaXw0aPHlhp9658SHotmYfyb8TXytflczf
+S4OMx+rmeB8+6k6p+GVf7MR9G7fsAmL+XERT3/y4yMeW3zdmNYn3b6cfN24i
+OCKa/PO/5cT7x/0brjgQ57EVr2AqE+dxEmRG5hPnsZiu1zpPnH/zFEmsnDj/
+PLVnyu+J87/1W2e9bWMHXr122V1K/F6j4tYowTsD2GXrnVxG3M/E3oM22sT9
+OJcb/Gkm7uf+S+7tfmE2lhTcsR8RJgGVlZoNxH3KgHHzE3H/KoVF25In2vC9
+7GFAIHH/ZUI3Xz2tYILzzTXKNLEVOn9PKr4lvldIj6hJPvF9/yS0K8XsasaG
+0s2sK8T3fTMQar6fyIO2FvOvN5GHtrMdQTFEHoyt3sg9I/KTsPvmmUtEfnwr
+66QtiPyEZWwbrCfytoVs9q+MyBu1KitAjcjb19q639eIfGourv7+kshnObtA
+an40D8lpU06yRJ4HLnuYrCby7LhnWzydyHN4RVJ/w//zXzRQepfIf5f+aXkV
+Iv+L1kn3SY9SwIhI83mU+pnw2sMPjxDzksnzYVoT87WntNBU/WMxLkeweBxi
+voY0o0uvEvM4lWA3c5SYx4x59dY3iXm0yraXVSXml6nJKxMl5vdwAD1miphf
+mkaMAIh5l9ExmR1m5QAXrLzciHn3faQhq0b0w4byBzcViH5II3c6BBH9MJjR
+9YJF9Im93ykfA6JPTtx1GL1E9ImHpdH+//dP5qLTI3JE/2wp9X15k+gfX87i
+AWuir04Jmi9ZTfRVcajJ5XGir/4HHocGiw==
+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell["case III", "Subsection"],
+Cell[TextData[{
+ "case III (",
+ Cell[BoxData[
+ FormBox[
+ RowBox[{"f", "=", "1"}], TraditionalForm]], "None",
+ FormatType->"TraditionalForm"],
+ ")"
+}], "Subsection"],
Cell[BoxData[
RowBox[{
@@ -5526,9 +12716,8 @@ Cell[BoxData[ Cell[BoxData[{
RowBox[{
RowBox[{"alleqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"alleqs", "/.", "params"}], "]"}]}]}], ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"alleqs", "/.", "params"}], "]"}]}], ";"}], "\n",
RowBox[{
RowBox[{"sol", "=",
RowBox[{"NDSolve", "[",
@@ -5547,10 +12736,8 @@ Cell[BoxData[{ RowBox[{
RowBox[{"TableForm", "[",
RowBox[{"allcountereqs1", "=",
- RowBox[{"Expand", "@",
- RowBox[{"Evaluate", "[",
- RowBox[{"allcountereqs", "/.", "params"}], "]"}]}]}], "]"}],
- ";"}], "\n",
+ RowBox[{"Expand", "[",
+ RowBox[{"allcountereqs", "/.", "params"}], "]"}]}], "]"}], ";"}], "\n",
RowBox[{
RowBox[{"countersol", "=",
RowBox[{"NDSolve", "[",
@@ -5565,6 +12752,26 @@ Cell[BoxData[{ SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"],
+Cell[TextData[{
+ "Time dependence before and after the cell. ",
+ " Black is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse before the medium, blue is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse after the medium, red is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]]],
+ " pulse after the medium. Solid lines are co-propagating, dashed lines are \
+fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. "
+}], "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->42364272],
+
Cell[CellGroupData[{
Cell[BoxData[
@@ -5577,32 +12784,65 @@ Cell[BoxData[ RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"sol", "[",
RowBox[{"[", "1", "]"}], "]"}]}], ",",
RowBox[{
RowBox[{"{",
RowBox[{
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "2"], ",",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
SuperscriptBox[
- RowBox[{
- SubscriptBox["\[CapitalOmega]",
- RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "2"]}],
- "}"}], "/.",
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
RowBox[{"countersol", "[",
RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], "]"}], ",",
RowBox[{"{",
@@ -5614,7 +12854,6 @@ Cell[BoxData[ RowBox[{"5.", " ",
SuperscriptBox["10",
RowBox[{"-", "6"}]]}]}], "}"}], ",",
- RowBox[{"PlotRange", "\[Rule]", "All"}], ",",
RowBox[{"PlotStyle", "\[Rule]",
RowBox[{"{",
RowBox[{"Black", ",", "Blue", ",", "Red", ",",
@@ -5622,7 +12861,6 @@ Cell[BoxData[ RowBox[{"Blue", ",", "Dashed"}], "]"}], ",",
RowBox[{"Directive", "[",
RowBox[{"Red", ",", "Dashed"}], "]"}]}], "}"}]}], ",",
- RowBox[{"Frame", "\[Rule]", "True"}], ",",
RowBox[{"FrameLabel", "\[Rule]",
RowBox[{"{",
RowBox[{
@@ -5633,486 +12871,485 @@ Cell[BoxData[ Cell[BoxData[
GraphicsBox[{{}, {},
{GrayLevel[0], LineBox[CompressedData["
-1:eJwt2Gk0Vl0bB3ChRDJlTqYMhaT0lHHnStSLkIdbShIqHvM8l/sQGcqQEBKR
-MXOUaCNDyHwfSjwZKlFChmZ6z7vW++ms36e9197/67r2OlJ27mYXmJmYmLg3
-MDH97xvFFBVU853EDLzEW+WvAUHTNPd/VklsukHf6VGiBrh1yzlILJF4H9m0
-fbBEA2hp7SeiP5HYUeF257EJDZBT2SR19g2Jgzeq9f5loAmt564+Z20lMZPZ
-dP0uaS3Y0BjObx5P4pBTPLE9U9oQHBpWtiRLYot6r4uCQzqw6NNWZytNYpvU
-ocNm0zrg4MLR1itO4tajE4WZ33TA6EzyaLEQtT9eNpOzogBi6oWb7dlJ/DZn
-9+INW4CGlT47xhwDF2eu19YvAPx2lhB6WM3AF4SWSkNFdOHyaXzFFxhYqiLi
-jn2mHrwzXtsuiRh4+HfKQakKPTDU1XrcpcHAKRXa7p9b9EBY6cmixAEG7l4s
-HK/8pAfVazXnu+QYuIB+OPuTpj7MZJfqSnAy8MvNlq27x/Xh7w+ZbJ3Dg/hr
-4F6RVZXjsMsnOF7MZRAzaqW99VkM4diw8dpS+gBODPaWYss3Bd+0i5u5H/fj
-tek9/W7F5pCs/Cs3q6MPZ82pyvBttgLruUrP4rUevPaaNDMKtIGtmrd+8Wt2
-Y/tb8S5ux+xgK4s/c0dKFzYyF0sp9boAirGTupv6OvDtxq9m7ZpOkBpnwHxd
-9jmOiGrZocPnCnPiEyFeEW1YcCA5NSPGA2w91/e9bWzBjn0eGwnSC6S1tztk
-ijzDc0H+gTPsvsDc2dQ/YdKEjS+fqpzz94eUF7LLbDueYr630UPrw4HQ9q0d
-jQ/X4b++PwpXXwsGlbzAP93/qcXJxMoRxf2XQU139xPDH1W4YWOxhuCWMKg5
-NsM1/7EK+x3Mo3/jCoP9RgX2CWNVOGxErWOYLwyULGS3DjVW4dOPGo3iRcNA
-8pKUrU1kFT5QvOfPh91hwB4rsslzWxUW2q7ldPB4GLweZDdL2VOJ24SGaBrh
-YfCzlWQ0t5Th4p4/wn5LYcCSKuAUV1CG8y7tEalbDQNOJ9o6LbYM6/948vjH
-9zDYsfXVrjmzMixJG+vz/hMGOhajoYJTpfiuYpqqIScdIt9PyjszleJPfvKh
-V2XpwLtpIZhfuwT32oje2EGjg+irvbzjkiX4acvrOF4rOkgXe+QXsZbgNZ7p
-n8zWdDhgvNSPuovxj5ZV8Tfn6UBLWZV1OlOMj1o3nPV1pUOm3O++p4FFONHG
-zVUugg67jrHLXKotwPUr14quldOhnUkUBDML8MmkP90/K+lg/0TBpo1Oeep+
-3D8P6ZC1xyht54kCvKFxevRIHR0E+OM5J97mY7FCsfThZ3RgnuRfPcWbj5mS
-E+qjh+gwFiTZbuCShy+Ld84K/aBD0IF9b3+czMPcv/7c0/xFB6F5YCo6lIcL
-eFRHrNfoYHbeXoONJQ+7+5OPUzcQ0Hksv6zldi4eKOFUXGAnoJZfKVXr+T3s
-3yO/VUaUgPiyQ47K0jm4tPagx101ApRXFtXyN+bgpZsyomkaBPSqF7OLz2Zj
-8VLlsutaBGxtEyvZWpGNC4/vTnDXISB2dMP8nHY2DhcZE+M6TgAXb9oHWnUW
-NlOscaihEXAikyNaPygLS6t8Uwo5RUCcfKjCQcjCFZsWew6fJoAD2bkK9N3B
-yr7tt56eJWCTs9Iy42MmjtPxkrjpQMB6a9O6qXQGlm69o3LfkwBtU9Vsndl0
-fM36EJu6NwEho/dBpSIdn9ORKer0IeDnl5gIbpSOLRNbjCb9CfgqbsHRa3Ub
-+2zT3vAxlID5gFkBw8RU/PTinyTbaALGlfj26DElYz/TDbJv7hBwPErmzVrX
-TbwiK+PyNYuAismD8bW3buKHLe4vt2QTQKSc+SKveBPLizYJK98jQI7pfg0H
-LQnrc0hpmOYT4MI4hPpLEvArlZk0jjIChvYYLFzzS8AVbUYLK5TRNetsgATM
-LyxlP1ZOgHgQ88aLpfE4oJaec6+SAIcTt64rstzAywqybpw1BCwuP8mqLYvB
-tXcPfDGvJ+BZ4TjTrqMxOOGrxiJPAwE3z7La3x6JxqXsOZu6KB98fkI+hDUa
-V9RJBKhiAkLTJ8rhdBRWluJ3eNtEgLHJRr7qhUg8FKvDf62ZAElWBR+Zq5HY
-s591ZPczAlpdvdXYKq7iGryW5dBC3Q9sau7eGIGjJny2PWojYGxVYSfKCMcK
-AhLnjrYTUFpscrVcJRzrO7Q29FI25b/9n6QzBO7uxw9ePycg5YPioGVlGB51
-7qX1dRLgmGl6oFM/DCuM+snrdRHgde+jku/jK5gw5mN6TLnON7RGg+syXlpQ
-7Uh+QYC+WG57W10QvhTjX63QQ4BNL/Psy5lA/ORMzkIkZd8wuy0fhQJxsvGU
-6QTlvHdSplx+/rgt+R4R00tAQwrdS/K+H36xWfLvUcrk8cnk/aQvThuvOL67
-jwCW0uwR2n4fzLuLJ7eBsug5pt+O573x3tVJNuZ+Avbz2ooHJ3jhkdGexKOU
-7Xwl7O/Oe+Dg0Q0CzZSD5K9crdzhgT9cM+P6RVm6+qlJ1G03XBrQq7R/gICw
-YK2RPgtnHOZjO5JKuXz8146VaiesbxRxqZ3yG916O2E+R1y5Ni+6RJmrMKhA
-y+Mi9uQuWhYdpPLOqTFn2+uAR8rqv+hQdvH4oXJVyR53lasIOFDOJB/7FsWc
-x9VxfDYRlFM8F30yBs7hgIsu3TmUV9Td199et8Z2rAa2DZTNmOejlAyssCT5
-SISkXNnlwuu7iYbzZ599n6HMc/NT+tNnZlj5T8DaT8pjteRxznVjLOk7I8/B
-IOD2scEzd/yOY04zyQBByrRXfW7KC4CTj6jMS1CWG0xnudJ3EDve3hUjR1nn
-g+LfR+g7sYKJqJECZRVL//D3nhzIg1nogCJll07vGNGzKqjwm8qR3ZSXCgIc
-vjtrIwGRYD8ZylotSMJZWw/Vfd08IEb5yn7gfN1qiAza50/yUZ7szwmRkTuJ
-5OzhBytlYvPO5VEnc6RrLPh8hdq/jE6e081SSyRdFl4/SbndX3bC4MtpVG+c
-PfyC8qXyfBrzXzYoNCdcuJpyxPLNaesGW7T3qR49lbJFPJmjZmOH5s/+4Qmk
-LKcocJafyQFtf9/53JLy13YL4cWcC+ikVeN9Vcpp68M3Ct47ovfWKS+nqPt0
-ShcyCI/6B21SLVespaxx8NTGc7tdUGL4+YJIyqOuI8GCru5ITm2zoATlYdbr
-2wOjPJAXhzr7BypP2GzPj4unPFGaaojMA8rx864Pj/z0QseC6xh7KAdocSWp
-vPBG/+5ZvfSRyq9tTJm7eKYPgnPtMnmUVeQWFH5q+6HAgGphbsqDZz1yKumB
-qIgn7/Mzql5KDLsnrRyCUGIyB8t5yhHqu6SZjwWjd3UPm391E3BIYOKeGWco
-0hW6qylP2XhafjDQMAw1c8XJ06h61fjXYqmnIQzFneqMG6HqW54M55NWpqNT
-Zd8yrSgzPRs36+IhUBsbd6NJBwFVd1IZosPhqACX8fBT/SIruW3Z7VgEciNW
-GCFUf4mNXd7W8jgCXbHjPTrVSvXDQBNz54yr6JzmlHwu1Y+ELNiG6m2j0M4d
-Mp9+U/0shNN/2PpTDKrf+6eOh+qPjiz3v1ZYx6LuDhndo0+o+/s5KLixNxbx
-WI8E+9RR821G2bK0Ig5JjbaudT2i8tMy/XLN9wZSKywxNX1IQK52iYsJUyL6
-cqv5TsMDqh+oPwv5oZaIXnnlnqovISDhwEhcrmci+iTc21VbTK2vyFb6bSoR
-GR3leJlbSNWDiP3nu21JSDro/h1aHgGbV0XdFmOSEfNnl9MSGQSYSyW5DTQm
-I3HFfYnrtwnIOcHuXrWSjKafw/LrNOo887+5+9jcQlky4pqxKVR9WJKe3/el
-oBiD5unORAL66677Mo2koprJGqGmKCpvl5lCeeQz0NjU/ZM3qfn4rtg/9MuZ
-DCR1Im1S2IOAfS/nQwcTMlB/ev2DDDcCuvb+ezn5Zwbqs6r/muZMwO+JujDh
-3kwUa9Xn6HWByo+ud4Skbxaa/HZkIYea1/ysy3ppk9lolWCeWKPmvxpXJJ/O
-ejaSV+lb26hJwFlhkfEPojlIUVOCdYs6AflKhwMOmeegw1VTvVv+ovJjEVs8
-3J6DsuxMQmeUCDidv5Nb4ME9lKTVeYRbjIDs4+avEv3ykIyFaYPodzq0mn3I
-U7+Zh8Ys2vY9W6XDrHWQ52R5HjpbR9ZcXKbDfs9sjn2zeWjlYeV8/jwdWm7P
-afWfuY+kTHj1Wd/TYfpjRA4X5KMCpbF7qgN0ULxe80/slkI046K/6FpAB53e
-q4al8oVoC89Lg/Y86n3HTVPq0y1EChct5rbfowOR+PUzX0ghSs8s42jMpMPr
-W4c80+cK0ZWty1PvEulwLavOv6inCGU3i/tUBNPhXfnTiOfxJWglN6HJ7AT1
-vhtsy2LhL0dV+ZVO0rNh4CritvBgoAoxss0TtgiGgXHnpXSwrUV+GXc8scxl
-SIp0MNSrqkOGxk3v0vlDgFV6c0TscgOaT5CIbVoKhDviPbn/ajehaUKjLjHB
-Hz5WpW4ufduMghJ3byPNfEE4amT/lwct6M7QslvQZy/4Pik2MWfZhkYG3Jz5
-WzxgoUR1IPpnO0r5A3s9Al2ho6Y5KqOpA/HbJypOnnECM/2TzQ6OXWgAaiVk
-By4AFjzVdE+1G33IV7skYGEHQNvPQnztQXbsQ/JxCTbgJ8bVKZzRhy6rLx0q
-i7YC/UQVhaTKfpR6uHrMqsscil+ervSOHECoIXps629TSB9yey1rOYj6rN33
-9aQZAh9/Vlz56UEkUsTB53DFEKLNepC6zSBaqhAO2HrREAL6FHONLgyiybii
-h6mqhkDrnHH29h5E8Y42PNF9BsD31G6tKX4QpfdXWr7iMICYPJqkdccgUtX6
-7bp44zgEeaOLSeoMlKr4b8G+F3rw56F31LgWAznt6+hPeKQHEV8LC5V0GEhN
-5MuJ9Vw9uBG47VO7PgPB/h0KrKF6kHNlxv3X3wwkvetd+ZO9etARmxTo4MZA
-S1WRL7tTj4Jg3nTcwVwGqu2KrDf30oVq8kb1a04S2XELPvIwAbCrKRaP4SGR
-oOp3D0NtAL6U9mh1fhKVcj+f+EsRwMNy/VzadhLN8l6rV2cDUH7tyklTIFEe
-O8Pkd6MOFI4bXRg4RiLt2oZ4hwM6cOcjh1AHQSIDDqsPa6YIjF7IEf6RJDJb
-sx8PVkHwu+TIZ7kYErWqbX8vyIPgtGtQy9VEEhk/ce/L7dMG4cVZd91sEqXF
-a4oKmWpD0mpHB35KomXasOffNC2A4Xeqbs0kKuremXP7kBYs1jLd3dFGoon2
-j7W/hLXAJEDNN6SbRHf1Zg22jWkC568CKY1Raj0Bb/Yb9prQMNoSN/uGRAWu
-Uucr9TTBuWH8W9oUiSZlRTgW5TWhK1So99ssieSuvdnYOKcBgTaq6gWfSYSP
-Nqia9GnArsMmebQvJOqPYHH6WakBryScuTetkojub3KzKVkD/v9/A6ksH8nO
-8deA/wL4ikvY
+1:eJwt2Hk0Vd3/B/CbMTKUkKSSCiFJE2I/PnkMX5SSIUMSMmSeMufeY8qUMXMi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"]]},
{RGBColor[0, 0, 1], LineBox[CompressedData["
-1:eJwt2Hk0VuvbB3CzkoiEJETUyRDlZDi5jysZyhDiMUuGSsqYecgsQ5HhefZG
-MhOZq6PBHYlQVDwlGhAJKTIVRb/9rvX+tddn7T/uvfb+Xt91rb3D2cvcjY2F
-hWUbKwvL/10TWBJCbv9k4rpOaz/kbgYh4zSvs4tMfElG5j+vEDPwfCbnKjnH
-xJJNJUo1yWZAI9qNE78w8QL+/d662gzklLl2OHxg4jnEo2O9YAaPT8Q94XjM
-xAKr3I78MebA+jBGyCKVid/TsyMKKo9DaHhk9ZwsEzMYqOKMPA1mL7TddZJm
-4gvHQjgOHKKB6zmeth4JJs4W+/pQ2IYGRnaZbytEmPizVk6KYAINxDXK17ms
-Z+KemEPvF0Zp8GDhuXPfdB8+YvTD06vACn57SIrcaujDMo6FfHR5G4iwxRf9
-oQ8Libj84L9oD2Mmq9ukUB+2U7FMVCPtwVDnYGOXJnX/Cn+eb4M9iCrcm5VU
-7cPRdUdCZSbsoWH19skuuT6sF132t4+5A0zkV+lI8vZhwe3JWu17HOH451zu
-zte9OB4+nbo0dQJ2XwhNFT/Xiw03pP3RZJ4E/dcmq3PZLzF/blvbRpZT4E+c
-Wsff+AIPy+pkS1t5QKbSr6K8jufYJd47yjPDG+yn63wqVrvxhUfkwAbVC7Dx
-n6xfQv88w4rCrPNtOkGwkT2QrYPehed2VNf6RYaBfPKIDtfzDiz6qHJQpDMS
-GClH2S7LPsFc71I3rtjFwLTEcJhvbBvW/n1/tmdjPDj5rKmMPmzFos+luc2k
-E0Faa5tr7tZHWHBCIvymeAqwdTa/GD7WjCvf2pwVcUsF+lPZee7tTfhGdJ06
-YXwV2n60o6HXdzH+9CNpW2s6KBcH/3l25A5GjWWRzTqZoK7z1z3D5Xpc3fgx
-O+hKFtzWn+D7NlWP07fUt3VkZME+ozKXtHf1eM+yp6EwmQUKlrIbXz2sx1xu
-AQ43irJA6vQOJ8f4euyzVdaipjEL1idv5fLZXI9PVVQfU/+YBYO9683pinWY
-a9W0WGE/HVYeM/taWqvxmew9PJue0YGdscU9pawa9xf/Sr/8gg687rQ1WnI1
-9rTcs8D9ig7bN77ZPW1ejaMdVdXm39NB2/JtuPDHKpw8sz2uaIYO8Z9Gdnmw
-VGF1t3dn3QUZIMA1EyqkVYlDbpU+DbVkgNibvQJDUpWYvT/WIs2GAdIV3qU3
-OCrxge+6fgUODFA1mXuBnlXg3vc6Z++6MYBGX5R1t6vAihICnM3+DMiV+/28
-KfgGvhLzTk4uiwG79dfvPH2nDBM121gNXjKgnUUMhHPLsHyeyK+bTAa43Nvj
-2BZVhvHRkMd8bxiQp2hEyBiX4bAwvocdHxiwRSiVd3i0FFc86JYTnmYA24jQ
-orVAKb4eZxK1hYuAdyFS7UfPFeOUkisq19QICFFVGV02K8aDaconSU0CRL4B
-yw21YqwhvqyarkWA+UkXTW72Yix2Y6o1WIeATv3S6layCIuOTdlJHSPgjpAC
-4+CTQny9ysSuy42A1Gq1M0rSBXh3wNLspTQClBZm1Us5C7CKfLe8SQYBPRoV
-6yUm8/G60mBdfjoBG9vEKzfW5uNYSX3+uBwCkt+yfpvWyserWam9qJQAPgHi
-M60hD7PmvuqcvEeAcS5Pol5IHlY+HY3ONRGQsit8zwHIw5s/a4dMPSSABzmf
-3/L8Gu7YsBMGHxPA5aEw3zeVi5k5AmPxPQSsPW5eM5XOwUFB+mjzCAFapvvz
-tSezcZ/cTKDZKAFhb0tAuTYbt5haOCd/ImDle1IsP8rGoR2ZunOTBCxJWPL0
-2JB4XKdDPmWOgG9Bk1sMrzKw/HbfGzNsJAwpCCrqsmTiB9cS1b2kSDBI2Plh
-tSsDn62tF+OUJqF25EDqnawMfOTNA2mGDAnRdLvvu+QzsKXAm4IaORLkWEpu
-89DSsVGz0NF6BRLO9amhF5Vp2Nn93a1VNRJeKR6duRSQhhXEs8otNUhAl+zz
-AdKwmoVM4w1NEiRC2DhPVaViDlP73XpaJLgaZ12WZ7+CeYXvHDQ9RMLs/L28
-O9VJeEK9sKHckIRH5UMsuw8n4RM5vRKPjEjIcOBwIQcSsdS7mtx+YxIOPDHe
-FcaRiIMV9HqWjpEQnj1cA7YJeHJ5YpnTggSTY5yCDTPxeOdC5Jc/lKU49lzY
-GRePDWoTvixakvD4vJ86d20c7sjsE3ptRQIPcLU844zF7Nxqa6fsSHi3uEcG
-5cTgg7WbLMGehKqKY3E1yjGYe7PlHREHEkyFyCPpdtFY11qR3uhIAv2zfK9V
-XSR+6H+vqeskCWdyTVU79SIxzyeGdZwzCb6FUwr+jRdx763o+X9cSLjrH35b
-ky8ClzzV3X3NlQQ98aL2trsh+G+fbUl7T5Pg2MM22T8RjFk1uXc8oewf6bxh
-SiQYv8qo/2B7hoTisR2mfAGB2ENzojvAnYQH9ChfqZIA3DRw+M8aZabBSOY+
-pj9WrOG0ijlLAntV/gBt3wWcZeQcHOlBgtgJlt9nTvphXq9+nWXK+wScJELT
-fHFCmIuq5zkSnP0lXa5/88a2/4UlGJ0nITL04MBzSw8s5bthYdCThJqhX9sX
-GtwxX0riV1UvEj7o3HcWFTyDJWSqeZMpa/FqTjv1uGKTf1vvy3tTefFeVo5T
-cMG6KoWGAZRzmY3+N5JOYpYQDtYmygsaXmujl+0xmarxDvmQYM72LUHhqA2+
-3s3KFkK5ruucgD8XDTccVjeuo7wp40t20yNzHP9hoGmM8rs7TAPeNROs5jZ2
-XMiXBFK/1+5agAHWiqHxa1OmvXnuqTQD2Ld17+xpynK92ewXnx/Ai2neS8mU
-tT/LHz8UJYPV1cSkb1JWtgqM+eTDg6ZGlPw6KJ/r9EsSc1BGi7l1k8OU58qC
-XH96aKFQi9K4RcoHW5Gkh5Yu6mQK6HP5kXBxH/AOPjZE5l3Lipspj7woCNsp
-Z4YqW1w1xSlHr5OZf+tugYJ22Z7bQXmndrF7RpUVCjD42CpNuT1Qdvjod1t0
-xowLpCifrimlsf3tiASOvRjdSjl2PmPc/oETUlYyvMlP2TKVWaDu6IxC70dn
-s1KWk9/iIMTiitKKYqpnqOdbarcUnS1wQz987SYGKD9xpvc91TmNNtJFDZop
-E2uvr5R9OoP4bbq6Cym7Z4scjUk4i9ZNRAZHUdY8YM154q9z6ImJsaE9ZZ5e
-olnz6Xn0KQh09lN+e34gVPi8F6pQ8T7JRfk1x+VtwQneSGzn15JX1PfB5orL
-p6x90Mjgs00FlFO/nb91aMUX2UpssFWgHHSQL135qR+KkmCoT1N5cEqq9pLI
-vYDedA5rlVNWlpvZs6IVgPiLBZqEKIteSF03wReIig8pqrVReWN9tHf81VAg
-avPweuNDudfBu6AuKhh9fj2Q9pDKa6XhsxEb1xCk5GB63ppyrMZuaTb9UOS3
-W6d1msq32pbhQnPecHRP5dA7bsqb2A+OrnwLR/+1F12/Qs3D1CxDpuhlBEo1
-UXi/ibLJ+K7eYMNIlKJ49gk3NT+a7y3nuh9EosbYiAth1LztYsYISitFoQc9
-gbnT1DyyPBoy79oUjXSixxweUvNbf43RJ/Y6BmlNBt1UOkVCXmbbvKd+LBIe
-jzhw0Y2E5OT5za2NscioRVLrKdUPrsHHLDxy4tCYfya2pPpDxJL71X2nBPRx
-m3mKqhMJYbyBr+2/JCEdzpCerTZU/7CXLNXaJ6Mblx9qSFtT+VjpFebsSUbs
-F2t2yVF9pzShZFVVm4L0atmuSFF9ONI63r/qfwXNp45lDZmSUKRVee4Yy1Vk
-OfNhR4I+1Rcaj8KW1a8iga6X7AZ6JKSpDqQU+VxFcUvtvhy61Pny3FU/Pl5F
-L74FrHhRfU7b6vL1els6mi1zfSxA9f26RTHP2aRMVDT+YyRShQSLHemeLx9m
-ojXRvVu3KJNQYLzeq34hE3WHBYeUKFHvs/SH1wXHLLS0CTfdk6fmz4rp81OF
-jkzkfa3/kyXhxd3L/iwDDFTAe/vcsigJ4uMcASMbCSQh2ZJmKkLlVzAs4NEh
-AqW2iE8WbSGBzeNsYOxNAnFXeGn8K0iCqrh+8LpIEoXs8vQw2EDlP4IlfNOu
-HLRDd6y65DcBYxWB4d/tcpDR5Ff35hUCVPq/hfem5SCzfnvX/p8EdO19H5G5
-koO0nI3FVhYI+D18N1K0Jxe55b3NE/xKgJOOX6yUfx6StDWUvvqOACGOeV1i
-JB9dM/wZ1dNIgDpfvKD2Wj6aVNF4qX2HAAfRrUOfxQpQlXnQeHUDAaUK/wap
-WRSg98d53SOqCVCzTK543V6AGjQvLk8VEWBbKsO/5WYhItutC39dJiDfwOLN
-1YBi5Ml5fxvXCQIem38u1sgoRlUnR1UW7AiYtA/xGakpRvP8tdofrAnY55PP
-ozJZjMICOkxKzQloJacPvrArQX8flrXj0iNgfCq2gA9KkUPWZDm3AgHyl2+f
-Td5QjmA9+4TYIgO0e+IMq3aVo8ON/Us536n9kZ+m8FynHH0I4DPe+o0B0VeX
-vgqGlaM9xav96z4zYDBLzSd7uhyd9I4vvE/th5fy7gbe6L6B+GVdR3zuM2Cs
-pin2SWolsug++2FvBLU/9rblsQvVoBzZacezy3SQVGj/oa1Ugw67/D5is0iH
-/Lh20wiDGrSbXdtb9zsdCtWfsC2H1SD3wxn+WybpUJLXcerbpxqktqc/K/MN
-HWi33RjTdrUox0ipZdN/dHCMOnOiX7EOKXGwpm3wpcP5rZ4zN1/Wo9IXc1M2
-w1lg0nk6G5zuILcMzsv/xmVCeryroW79XXS+ajttVDoDOKTXxSbPP0AiwUk7
-UxquwjWJ7qL3Ws2oNXhSflwkDabqGeuqRluQlsCgPNvuyyCaMLDv+81WJJ0U
-EtMzkQg/R8SHp63akPFsZ6TAz3iYqdz/MnGlHWntfKorqhYLHbdbEnKaO9DP
-XaJPQ9yjwFzPrMX1TBd6qpr/58lqOGBh6+bC/c+Q4cV+skUzGIC2jz16qRsN
-nBh9LM3nDwHifJ2iOc/R6TT9PoNcH9C7qrwnve4F2uzpw5J96xxU9NvW+cW/
-RAzT4vT84NOQ/cpzUNaqFw3N8YceEnEBQaG8lBrbXhRGfzXWyukCiebdSMOx
-F7XuV18yW3CGoOfyRUZuvSha7tRKxktnoHVOePj59aJ/na3mqlOcQbDJebWZ
-WpVbjMpm/uF0hqRimpR9Ry9ysvYjU/44QYgfOpWu0YdiShJbyb2O8OeWX8LQ
-wT4U1lIYlCjkCLFL5eUK2n1Iy5H9WcqyA1wJ3vylXa8PfY8y+Kun1QEKLk54
-/Treh0zu/+rVtHGAjuT0YFfPPuTTmPi4IcEehIvHUw4U9aF+ZRb7j3O20MC8
-0jDIy0S2Izu+/MViDc63KySSNjGRTNzoie2frUCQ3p6oIcREbyMvn5TrsQJv
-q7UTxDYmUjuR1B+UawVKg+d5aXuYqE01U1pC0wrKh4zcXuoz0cG1I58cg2lw
-bYpHpCOaiRTXtXif4LYEo6dy0YHxTPTFvSTry6wF/K489FUuiYlup0ZXJw9a
-gO35kNa4q0wUESuUxF1tAaKzk146+Ux0z2AxadrSAtIXOzpwExONIImnTjeO
-A7we2+/ZwkQ2aWGmcpnHYfYOy/XtbUzkokLtexHH4ViQun/YMyYqPvy2ZNLi
-OPD+Ktuh+ZaJ9NaG6wpZj8ODt60pkx+Y6Jr79u0sX83B48HQD+IjE/2Y/mjo
-/cYcusJFen5MMpGya1jLpRpzCHbcr1H2lYl8loRnlHPMYfe/x4pp35lI/N2T
-qi/x5vBG0oOfa5GJEjz+zDb6msP//59B3Mr7bxKO5vA/Nt6KRg==
+1:eJwt2Hk0Vev/B/BjKgmVa74yJEORNBGX5/ZJIRWZDpmSoZI5s1DmzPM5eyMR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"]]},
{RGBColor[1, 0, 0], LineBox[CompressedData["
-1:eJwt2Hk0Vd/7B/AbypBS5sqUTEWS+oSweSjKUIgrs5BIyJwpQ4ZQZu45SESI
-jM2qHYmQqXvvR6SSkuIjEalo+J3vWr+/znqtdc7aZ+3zPO9nr7PZzd/qOAeN
-Rlu/gkb73zWZlhxx6wcb69MrPmlKWkDEBN3/5Dc2Lk5JrbDabgF+PQoe0l/Z
-2N17cipc1wLoRId5yn9sPCB2RHnOyQIU1FZtdnrDxofdg1POXbaAJy6JT7me
-sHFUdCnWk7eEFY/OCVtnsPFg/WZxW20riIyOrfsqz8bdUvwtPLnWMBvcfs9V
-lo2/uq7XD71mDR6n+Nr7pNi4zjXfeBFbg5lD7ki1GBvHdeRKqU5Zg4RWFY87
-LxvvERwyPgs28GCh3401zcLo4s+Qmnkb+OUjLXbzBgt7hmqOZ3nawll7HBMC
-LBy6ePTvwnl7GD/0e5MMYuEZbZOsklJ7MDXUudu9l4XvPox479xsD+IqzbPS
-u1l41+fieaFpe7jx+9axbgUWJo7R5lwtHOBTSa2hND8LXywWeJMh4QhHPhZx
-dw0ysdOte1tC2pxAKTgyQ+IUE580krxwq8IVGlrVJ194MbFZSsVn3VuuoCUw
-ZZBznInVX1rEDbS5gkn10UVeFyYefJO2T3jMFU69/cfpuyUTX+m6WisicQwa
-zGa3MTWYOPDl4ABn7jHQlD/ekczJxB7ZM0/q09zAePDQ768Fz3F0V+R520IP
-CCE8eQTuDuBTfFYnrjd4Q67qcllxZz/eWV6Qug/5g+N0Y0D1715s9Ouj2Z8N
-QbBGO29ZWLsHx6E4uVLOMFjDGcbRmd+NA2etWyckIkE5bcxwVX8nVis1P/6K
-KxYYF0w4Lso/xQdzBz0+JsfDtNTbqMCEdpydFzCippIIrgF/dr5/1IZHzxfE
-cP9zHmR1N3kUbXiMA2QOFgkrpQFHV8vA28Mt2NjPtwZ80yH/mfw8t+RD/GZz
-1okWZia0f+9Ao4P3cFX5rM64aTaolYf/7Tl4G/fpVfiFsHJA03Brs+nPJqzF
-evIsWDEPlp6wWa1tdTiE2/LL6sB84GSIeF+orMPrNn6zfByaD/ze9D/0tDqs
-Lh51NyQyHyTXDClNW9Vhr1LP86yEfNC3GYkWfVeLDdaqLJ5k5EPShzFFH1ot
-DhwhpLgf5MP6VV8ihXVr8A7Fta4fOBigZMwrd+J2JQ7Xf/S1JYkBHbSNIFpU
-iSWS9jt5pDLAvXmbc3tcJdaR0r3Dlc6A4u1mxBbzSnzuQLO6Th4DRIQz+N++
-r8A3mcXiSWUM4BgT/nZ0fQWO6Ks2TnjEgFcRMh0mp8ox74ncfTLfGBCxe+f7
-n5blWP++fJPzDwaIzQDtmkY5zppLeUsuM8DqmPtebs5y3Jt5MGIVBwFdxhV1
-bWQZlo/Xjry7loDbwioMnadXcHFdTNxZRQIy6jS8VGVLcQin1q4UOgGqC7Oa
-FStLsca2VZOkHQF9WtW8UpMluLhPrbDCkYA17RI1axpK8P0nvz7fcCMgbWTF
-zLRuCXZe2iVd7EfA2vXER/qNYhxish3qEwn486Tlj4VsIQ4zA+17DQToWuwq
-0Z8swK2no2yNbhAQNXIV1BoK8KDUZd3+WwQszaUmCKACzFes585uJmBRyoav
-z47EXq27vtU8IWDmzKSIaRYDT3wnIeMFAaMqgtv303IxxxY1WeklAg4ky735
-3Z2Dxx+WHVrxi4CGsT0Zt/Ny8MCiWdPobwLi8x3mFJVzsPKCqETWChIUaFdv
-8dGz8btVDPcOHhJOsTTQQE0m3nMvUiRClIR/t5t8OR+aiXcOqB2VFicBnXcs
-AcjESwZD7S0bSJCK4FjpWZuBq1VXS/+QIMHDPO+iMmc63tGddlNzCwmz883F
-t+tSscG4zDPaDhIeV43SlPal4lzVA55eaiTkOHG5k8MpuKzwp0zPThL2PDVX
-jOJKwR9U9b4m7yYhuuBtPdgn4zdBHnMDWiTwwarWnpUJOMA7qLfSkIRX37Zt
-QYXncEy5wPrn+0iorT6cWK92DjserPVe3E+ChTB5MNshHrsUe9v+c4CE/I/K
-TNvGWPxAJF4owYwEI4myjvZ7ETiAY3evuzUJzn0cky8+hWOl8Uq7gzYkhMS6
-rZ4SC8eB5LiwMp2E8vHNFmtDw3Ci43PR97YkcNaWDNPVgzGapxvIO5Cw0YX2
-y+tYEL7DP4WmKauvd5WKzAzEPgfSveodSXALkXa/PHMar+hDBtucSYiN1Bnu
-t/HB283HeL+6klA/uiy5cMMb21wmvAuOkfDG8L6buKAXnvr5dgG5kaDLv3fa
-tc8DX0EhF6PcSVjQ8v/z/qIj1vwq8LjrOAlWHDPJKiZ2WNS5NvyIJwmN3afW
-h6yiYzv7HIdhyq9usw/w/zmEDQ5dvTR8ggT9j8pHDOK24PXj3GLXvUlQsw07
-9yGAD7VH8UmKnaTqoSsodaOTGhoa3md2lrJOG5L20d2Pwrgm5cGHhBh14H/5
-xBSx1m0YKKI8NlAaJadgiUxd1pQtUJbTL/fOqbVFBuyhx8QpEjrC5N+azNmj
-lTujBT5QPlFfQef4xxkF68QmbPclIWE+Z8LxgSva+qh7cyBlmwx2qaazG+py
-NfrYRFlBWcRJmOaBuKpes79QXuywEZ8tPY4KlyKnlPxIIP4Mpld+8ELuN2Mu
-ZlD2LhAzOZd8El0yaNn4kPLePUdXumw9hay24f4JynxMomXvM180qeJ9nd+f
-hBHf4UhRX3/0c6qxQZXyINfFTeHJp5HFeMorM8rYavtPz6MB6GvY+x0nKFeU
-9A5abw1EW8cbq6MpZ8z43jRYCkTRRpNmmZTP6KzNVnsWhJ4WnhW9TNk1tc5f
-qigYbWs5wV1N+cDQIXN+3xAk7V8o3UhZTeHLtiXdUHTGcL3LTcriwRk8n9aG
-Ic87re03KK94vGPi39EwFC1XcaSe8pTAQFtbwxnU3HaXp5Iy0+l0aWNcOEqr
-XRgvoFxj2jNm5xGB5GQfuqRQTtBSkuUwjkSHHX2PBFF2Vkxwq94ahbTzOFqO
-UtYQeXvFij8a1WpHXtWivI5T5/3STDRavTDIKfq/9WYZW8qen0UehOjIZ2r/
-2t7Mu5vejEE+mjrKrZQPTSgyw01jUd4G04X/7f/e1zZfex/EIv47xnvsKSuy
-zwnKqsahh60ac9KUhZ81qodejkNeMrLyY9T3pD0etepeF49KvqxlXqI8fXdN
-kFR8PBqI4/5hQ3m4XjsncD6eqi9RBi/lpksM1sbBc4hHuVLfnaqn4tz2eT/j
-BFSmsc+Ul3Ja2rxQ290EdKhne381VY8e4YetfQoTUV9gsN5bqp4tT0cHP+JP
-QhF8v5WCKaMTNblCZ5OQYI9QCidlMRvuf++7JiNs4lcnTPUHl9k/3wSYyWjZ
-JDQ434vKNwN3EQ/D84i2nNskRLlb7ZENv0IKerfzOkGj+iuKP2zQ8b9U1Pz0
-kli5BwlenFcXGxzTkGBZ3bUVlG2WmKIr+9JQ/ZLMHXuqn1U/qdrWNlxA58wn
-9v+l+n+sbeLF75B05NXsoCfoQkJfs/APy4/pqMF86K4plR/NjQbiFUczUFSn
-eWOsE7X+4cMqlZKZqKd/5ebXVP6U6dacOkzLQv9tl+R1PUrlk9bjqJ+aWai1
-/llyCJVfmbuHL5QFZCG7WnpKEpVvUcrctd/fZaEMLz6xQioP6RvcP19uz0Yb
-JI77pFuQwPNto99sai7y4a30LzYmwXpztt/zR7mIqZUzF2tEQqk5r3/TQi4S
-P2OU7ULl796K7/7Bznlo9PKHneupvD5lyw74sTMfxd0+/X0/ImHg3sUQ2jAD
-hcfM8i7uIkFigit0bA2Bzi12NxWoU/0rGBX62IBAOu9c47Wp+cDhczIs4TqB
-lhdfMgJUSdgtYRzOE0uiNNVf1fVKVP+fpUWvUyxEUazT00HUPBqvDouecyhE
-I8UiBiMbSdj5YiaamVmIJjJNniJqfnXveH02d6kQ9cTedVsSIeHX23ux4n1F
-qExOasZQgOpXw6AEmZBixFTUd9xMzUthrvn9xFgJcmu95CrwjgDNtUmC+n9K
-UEpBOJ05SoCT+IbRjxtL0RW6wXLmawIqVPTOaFiXIlPLX/QVwwRo2KRVD3aU
-ogrnn1F1/QTYV2wRELl+BWksNNzSfkBAyQHroazQcvSoRahcOZuAJ1Yfy7Vy
-ytH7/doKJzIImHSMCBirL0cuDuYJxRcIUA8o4ds5WY6yVgu9pCUT0EZO6ww4
-XEVJL5JEciMJmJhKKF0LFei5iN7GRXcClC/eOpm2ugrZBMr+btpJgH5fommt
-YhVaE1S/J0qVALoAXaXfsArx9BpTN1PnhazFz4JRVUh0PHqkRY6Al3kaAQXT
-VUg5xpnMEiPgfPG9sGu915DcJdWG6F8MGK9/mPA0owbtYUraprdR5z1mezGn
-cD3awPnoD6cxA6RVOr7rq9ajn+IHNqkaMqAkscPi7IF6ZKbYbmmjx4Armk85
-fkbVI2+vKKFCDQZcLe70nPlQj85vktjIpcQA+q3jjGmHBvS4bNsdcx4GOMd5
-ubzY3og2FSzrdXXkg+8Gvy/XnzchsmlterV2PhzqOlEArreRvr/ck5bpXMhO
-8jDd33QPvRhh6a3MyQEuWZ6EtPkHKC7QZVfQ1my4JNVb9lq3BeklLzfLZGXC
-VBODp/Z9K/pT+LowfVM6iCcPq89db0N/zZQ8Tw+lwo8xibfTtu1ots2y6P5o
-Mnyp2fU8ZakD7ZO8h0uFEqHzVmtyYUsn0vxeclVKIx6sjCxbPby6kWGiaT89
-PAaw6NGWK7t60PzCSlX1rAgAujpn/GIv4pa6LbqEQiFUYm2XeGE/OugrW6Zf
-HQhGWWrbshsH0NVJMw5I9oPqF/aNQUnPUUalG3FxtTcU/Ov3Ut6WieZLp3VD
-/TxAULj4Qr09EwVqN1txOXpAilUv0nJmovtd/mGXD3rAmX7lMrPjTMSWOv3q
-l5wH0Ls++QQFMVHOhbLkI6/cQfCh2++WDCYS/Hdo0cfcHVLL6TKOnUy0bVqj
-QEbLDSKCkGe2Fgvxj1yYs/7HFf7eDEoe1WGhOSGa9wpFV0hYrKpS0WchvyTJ
-VXfFXSE9XOi/DiMWevGsBCX/cIHSmE/+y0dY6DC3hGZVsgt0pmWHe/ixUNLf
-o73XrzmDaPnEhT1lLGSrMvQ+8pcj3GCn33jJz0ZBeUHrREbswO1WtVTqOjYy
-Vn3kG9xiB4L5HSlawmzU9traaOqqHZy2/eNCbGKjon7ang0BdqD60pefvo2N
-3jkGVcXz2EHVqNnx58Zs5Czod/2M9lG4NMUn1hnPRtMNUp5EIx3MninEhyWx
-kRNfcUIdSYdfNQafFVLZyEXqYMpwHB3sfSPaErPYKNHwkJCfFR3EZyf9DUuo
-5z98781YsIHsb52d+CEb/f1e0VKtYwMwOL7Lr5WNPBeS1HgVbGD2Nu2yZDvl
-gzM1kQI2cPiMZkhUDxv1FHHmFb2zBv7lys17R9iod/fTNz0p1vBgpO3C5Bs2
-OiFtatcdZA0+D0a/E+/YaKRuVcyIkzV0R4v1fZ9kI8OpPUWa6tYQ7rxLq/Iz
-G910eBCZIGENSnqHy+lzbJTxt2Dw/SprGJL2EVj1jXrf6Xcl9Lkj8P//P5C1
-VWXfq5Ej8H8uDy9L
+1:eJwt2Hk0Vd/7B3Ah5GMoc2VoEIUK9TGEXQ8NEjJe8ywlc+YxITJk5p5DAxkj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"]]},
{RGBColor[0, 0, 1], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2Hk0Ff//B/AbQlKWiCSJLCGhskTveqWQily5ZN9ahCRb1xZZQ1ni3hnk
-Q4TIWrTpXQpJIu6kRSUtlGSNdn3nd87vrzmPP+bMnJnX8zmvM6s8A5gH+BgM
-huw8BuP/jkmMpPCGHxRW6GzW+GNgA+FDrIAjMxTegNfx8e20gaOdqt4rpyi8
-a5kp31JHG2ARbXtOf6FwzlxWweFIG1DVEVzl8obCzpYLDW8020CLW8IDgRYK
-n1x3iS1mzYR5d+Kk9qVTOMn5ldbjYFuIiIqpnlKhcF3eQxQ3ZgcTwa033JUo
-/KfEWl9uPgu8/URauxQoTOG1IS3LWbDbKbu/QobC78i1P5g7WSBvVC7stYDC
-Gbm3XPdfZEHTt25P3igP/9fAFljqYQ9/fFfKXL3Cw8pa+xnnhx0g2hGfDAEe
-FiWv1gevd4YPVn+XKyIe1ql6scljjzPsMjW53rGJh8snoqQ9DjmDrNbNiZUb
-ePiNlupwbp4zXPnb4NGhysO+Pz3mvgu4wKfCKtOVojw8eTN0iXu/C9gO5ws9
-7OvFgbG/29dw3UA9OCJd3q8Xd71ljXmVeoB5n9XfqdwenKzSZGj58ACEEAeF
-xa4/wfV/c73zpX0hW/t3cUF7N97R1HhY0v8YOI/WBVb8fYytrvmbmgsFwyLj
-nN9Sxp04V7RFXkH8BCziD+Nr53TgVOHdBJhFgmbqoKlgdzsOK2SJepXHADfN
-ku+MygNcu5DhOmMQB6MKbyOPx7fi28MvEhqGEsA9cE73/Z37OPjLQoFVP5JB
-afNy7/xl97BhvEnL9Hgq8D28++St9V1sKP43dL1+OnAeqUwLrbiNAwM/7HHf
-mAmt39vQQN8N3G4aaZBQkQU6Jex/nTsbsXJTyeO1mtlgaLrm5q6f9Tj5qOGK
-naE58KuF4jXfr8Z3lLb2XLnKAX6utE9aWTXOsFpTsfEGB0R9WHOs1Gp8pMDJ
-++ptDqxY9Fx9lFmNG2d3B5W3cWCrXX/U0ndV+N5Xq5tHnnMg8eOgmi+jCg9L
-un20+80BCcHxCKnNlVhNQze5EXFB7vk6iQHFSqzcIS/2ZBsXlCqOlV4SqMS3
-buWsHTLjwgarqSeoswLHBkmpC1tzgcWZUfFxqsAGGSeeKrlxIV/1T/dt9iW8
-Fn0KqY/mgrr5gtWHGsuwXLYyqX2LC20MOViaX4YbU1erkZgLXjc1XFtjy/D1
-kzVnGPe4ULB2N6G8pwznzmi8aW3ngrRUuujb96U4f/VOD40+LvANSs04SJTi
-QANbzv4JLrwKV2yz9CvByZ0+wmZKBIRv0H3/06YEV/sIVVuoECAzBoxLBiU4
-TMznt7k6AUwPr01C/CVYak18kok2AQ/NS6vvk8W47lyq8V8jAhqltLgmDy7g
-nbdY7f17CUivNjisrVSEbaz+5QtEEqD9bcKwdH4RntYqM+qJJqDLqGKBwudC
-HPDvfBMZS8CiVvnKRbWF+K1ZZYBCEgGp/fPGRjcXYg3R1x6zmQQsliCGWVcK
-sO68ZP2BUgL25IucNgsvwLHHF6X5XCIgTS1KQx8KsAVTvm68kgAR5Okv3X0e
-L1hk7j1eS4Cgr9Y0byQfH6+Xt2i6ScBcy925vUp5OO5gIC/lMQGb964v3Po5
-F+f49Ub2dBMQ2X8RdGpzsUT+9MCSXgJ+TabEi6FcfClfrSu1j4BZBTuRrv0k
-rnt9SMVigICxE5+ld2Vy8ZewLXmT4wQMaEmu3cHIxsak7a25RSRYJK1+87fj
-HPYVp57li5FQO6if3phzDt8sQDIGEiSc4jhNqmmew4nRMvzuUiSoMi42iLCy
-sNKZk9lxciT48QzQk8oM/GXAWFpClYSnay3Hk0MzsKSfHzNQjQSU7FwIkIFP
-vppX9VidBIVwvvkHq9Jx/uWF18M1SfDek3NGk/8s3t9UIF2qQ8LE9M2CxuoU
-bHaqKxA2kXCvfIChvj0FB+p3gZcxCedcBLzIF6dxeoKTaqwJCfoP9qhFCpzG
-PhnCmnWIhKjctzXgmIQj9LZJvdtGgpX1fMkr44k4eScK/2BKgqKARvDqhETs
-11g/8W47CS3+QYZCtQnYR33hIsqMBBEQbO6cH4+novtnEi1JeDWjoYzy4rDf
-n289PrtIqKqwTqjRicOTFZU3LXaTsFeK3JnldAp/c5eq/bWHBM6wZq99XQx+
-+4mhsM6GhMP5ezc8NIvBC0CTOUX7+IURrZDrJ7GfNjO9jknCjZCohk2Lo/Gx
-qT6l1ftIMJMvbmu9EY7TRq9deMEiwbWL7/OzT2z86/jwENuehJAYz4UjMmxc
-2WfpsNSBhJIPq/YuDg3D9VPKzab7SWjixB5XvBiKPbSfXaNoUxaD2XpUCPa2
-Mnrp4UgCf1XhC5ZeMA5sOFt4zIkEOTfGn8MeQXiHe5vpFG09CXeFiIzj2Ofa
-RoljziR4hqz0+m/sGG6u2rPG3YWEmAiTF912vthhKmu7pBsJNQO/V3y74oNF
-19WvC6H9xvSWp6zkYcyW276Nor1ZdNOoe5c3jjjW/CrRnZ6XYz91ErS8cFBx
-gfdL2vnU9ZBLKR64yT5ziYYHCd+MAuben3HG/p1NQ7dpM/nGkrQs9+OAU79E
-+DxJqOvwkwgRZOH+EnvWNtri577k3r7HxHcHnrdH037VSFmIzlnhrDtxntdo
-k+a9TudDLbBinavyKG3W8+6j2uOAY+cFLlzhRc9zby7/yW59LPzmnpwl7a3D
-mrbbYpWx7j4XmyDaOvZhcR8DRRBpY1lD0PZ7GJQi56KDhouzN9ykPVV2wvuH
-72b06If54DPaJvfRSt/NO1D/62MNk7RP6oHoy5ZdiLgrXyfkTcLgk6LI1ao2
-iDW2n1pG+5Sw8nS/zz6knW2wUp326q0lPueq7NEEbs3Uo90WpvLWctIRSTtJ
-axnRPlRTyuLb6IqqNxiOGdOOnz435Nzkjhy+b32+ibZdOlVk6OqJ1mmbjmyk
-raop7SLF8EbY1Hb1WtqzbXayE0UH0OfYxERF2g88ObxHpofQiMS0uDhtYq7v
-bNnHw8j4T8393/T9++TKWMYlHUFn1Z8WvKe9Sd9hvtsaP3TVJeLCA9oivcTd
-TY/8UR40dZXR7vd/EbHUPwDp7q9XjqfdJ3BmOTvpGPISZhc508bMtT8POgQi
-4SwtC13a6WP+V7f9Oo4253aLd9Pv54TJ4iydR0Eo9cdvPYK2e0p1gEJ+MLo8
-cTbahbaO6rjGr82hSP+fb9Yrej5kg9OFPy0OQ/4jPx05tOfdWzf0dCAMjcuG
-7tlNu9flWFFdLBuZneiovUzPW+WuzsH93uEo5sKWemva8UbqSnzmEUi4ME9n
-jJ5XA+m3F5iiUUjtPa9kBW1xfpP3v8ai0DvxZXnVriSMTHCVi3ui0c/BpWLG
-tK2G1HrZu2KQY/DyQDM6H5te2009bopBb65nu7XS+VGj4iSVtGORYFll5xba
-jHsDzA7xU6jzeomyGp23+vNcnlxfHBpwLX10h85zQXbr9FHzeGRjMNwgRzs1
-dXrJ/evx6ALzoWIgnX9vtvU+37wENPzmNFuc7gcZO6Gnt9yTUKbyF7TMlgSB
-3RtnxHqTUFySvP5eul8mtnlJe5smoyuuW2pP0f3ToXPHTlT1NHLXI7RfWpMQ
-KRrW5/wlBelSGc62dJ8d5r84W+uciiT6twQfpPvO7lfv0vldqejpyvkSIXQf
-an/Stq+qTUP49aVn8Rb0PN8fevY35CxqlCi6fJTu0+LNlX7WjEzUlSkr50f3
-tZzRvcifhplIdFHHXQO6zzM2vEgrDsxEDsmNs3OG9PU1haq+v8tElpoeS2L0
-6Xwu8/r6X2sWMrm1SnWPLgnCM3JHJ1Kykc4r7YNL6O/LvlVZR3vuZKO93BtP
-61aTULRnQUD9t2yUu4U8vluZfv6l3wOCXXOQo7e8QaginVd7KvCHLgelN7XM
-5dHfqyc3zoQwXnBRc8Z3Nd3FJMgPCYQOLiIQ605Zc5YoPe+SkaH3thEo6bZS
-9oQICXy+R8LiLxOo5WPQUKEQCRvkzdnCMSRisdPsKAadl2hGlLhaHlrgQwgn
-TRHwoSIsatIpD7XELEq5PEGA7rOxqN6MPFTwj7u3a4yAjnWvo7N/5SGJk/K1
-gl8I+PP2RoxsVz5yF3LutnxPgLtpULxiSAFayhbbsYpHgJTA9A5isBC1ny9v
-FKX3BcPFiZJb5wrRvHrZ6pQqAlxklw0MyxUhGceBgwL0flGqteWEwb4iFDdt
-p/TlIgEGdqkVfW1FqODhwZGEPAIcS5XFpC9fQLHdOxZPJRBQaLHveWZoCXJk
-G9jU2BPQwhwuMTpXgta8kfEo30fAZ+fwwMGaEiRRYOt13oYAvcBCEd3PJYhX
-abIjYhcB98lRkydOF9E9+ZJKwS0EDI3EFy2GUpTG1fNzofc1zTMNR1IXlqOx
-I45qS8e5sLUrYVeVWjnKcnRXKvpC75tiLK1u03IkdHP4kPonLpzKnP0qGVmO
-6gzFXmoOcuFljkFg7mg52mgwmy7I40JywY2wS48voXkBf76KNnLhQ83t+Afp
-lUhDN3f6CJveN3tbC/ilapBsfpjayxkOrNRq+75VuwblFVRc6pnkQGFC295o
-ixokVuzp1vaVAxcMH/D9jKxBJrP/fMs+cuBiQfvBsY816OB2MLR4ygFWwwHu
-qFMt8uTMCAjS+7pr7GG3Z2vrEL+1p/XJAA74Lzs6frmnHumr3djR+yYHrB4e
-ygX3RrRp2TuLVYnZkJXovWtH/Q1UNNCzPk/lHAgoCcenTjehml3yq6uvZcJ5
-hcfFrzffRe0GI3UWKzJgpJ4rXPW+GQlMfRu8u+EMyCa90Ju8fB8Fmh9yG5g9
-DT8G5d+O2rei93Zk4X3BJBivXN9z+lcbinBYbzvPLB7aG5qT8u62o3T875bS
-iVhgmtk0ex/uQGnbVQU/LosGvNTh7oX1ncj2nNwrHTs2AEuP/9TsY/TzY55E
-oWoIhMovfiib142u2v1+faI+EMwydTSy6p6g/smimNP9flDxzLEuKLEHvW5d
-Q4zkHYLcp0dfqtj3oueKZYetN3qBpFRBWo1jL5rv8kryjrIXnGY+Rkauvcjh
-orGfsaQXnOjWLN59oBf1tH6TdBz3BNbDT75BQb3IwqQvVrvCEyRve/69m96L
-AuZvDNVW8oSUEpaic3svOucrlOa23APCg9DBLCMe8lERHfP2dIV/V4OSBkx4
-6JdM8rC2uSvEz5aXa23lodF9ERdFtVzhLHvJlzYzHkotkrPgn3WBopOfAn7b
-8pCAxuiyVyku0J6axfY+ykM5V4vj1l93hqUlQ2n6xTxk52IUpL/KCa5QZ6+8
-FKXQKelLlWEaDuDZUKGQIk4hq0lkYSHhAJKcttNGUhS6Mvo+RvuHPRyzn3Mj
-llPI/z+Z88Zt9qD90l+UpUGhRy++utl72UP5wO4DPeYUUnXbykgrYsH5ERGZ
-9lMUMjCw/FC41g52P1I9FZZIIeZjzidxGTv4U7ntq2oKhQK3/DTOYdiBo3/4
-/YRMCqn8FSl9ydsHshOfA0wLKZRfGuZhH7EPsmba2/FtCqkpZroxumwB+j6s
-P9pMIamxSePL121hopHx34pW+vz1YXq+xbZgfcIwJLKTQq5PNhopsW1B9HfZ
-qk39FLJe0Ls5SMUWmvrvp31+Q6EaRXZEo7gt+DYNfCfeUch8S8gR0T9M6IiS
-6fr+mUJfH0SoT/Qyge263qjsK4Wmvc6/jsJMUN9iXcKapND1Q9vEFSqY8Hyl
-r5jgDIUKfydceZLDhP//34JCok/fzIllwv8ALs5cQQ==
+1:eJwt2Gk0Ve/bB3ChSChFFIpkCBWlDOXOhTSQ2ZExGUohSeYhs1DJ0Dl7mzJl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"]]},
{RGBColor[1, 0, 0], Dashing[{Small, Small}], LineBox[CompressedData["
-1:eJwt2HdcTv/7B/BbhSQNWkiliIZENKg3l4yU0bpvaS+k0t6DtIe0u88JaZf2
-UJ+i3kWaknTfIqEiEalIScj3/B6P31/n8fznjPf1vl7XOWezravhOQ4ajca7
-jEb7v2MULSqgdoGNcW+zPuGvDwHjDFfHOTbe/eBpBy1WH1x6ZO0lv7OxrnrO
-St8MfWAQ7SdjvrDx571pnPH39UFWecVmi7dsTFuVMGS1pA+PrCI6uB6xcQFt
-7FpRpAEsaw4TMk5g47s16tkcOYYQGBxS/n0rG+8ctNnxeDkdZrzaGqyl2dj/
-2ejEzY10sHfmaeuVYOOVT/95Xd1FhxNmqUPFomx8ec5ua5gFHcQ1irjtVrHx
-lrZ2Fcc6OjT+eGrLmmThUsSn+cyJAX+cJEXv1rDwisEXq+kfzsBlU3zFG1hY
-rVnocKewGYyd+rtRCrFwQVGz/qiSGehpa9Z372PhMoMk/TU6ZiCmeG9Gcg8L
-F8rI6mcGmEHN31qbblkWnrGeNs8fMYNPWWXakrwsXHl7q7R+pTkYfby5smug
-HztWGSiZW1rCdq/ABHHnfhzI6fG69Lc1HBs49fd7xjN8gud2iSbtHHgT57n5
-6/twaFj3t+7tjpCq9Ds3s/MpFimvvDLX5Qrmk1XuxX+f4JqiMWkBJ09Ysz/t
-t9D+HtyScqeDbu0Lazh9OTrTu/H3gdL9AeGBoBA3qr3iaScO/zovcBWFAPOa
-Lkf81g5s0hhx67/2UJiUGAnyCG/DK1enqhW5RoC1+9Ku982tuPGBwXh/UDRI
-a220v7n+IeZ48+b2kkcccHS19I2cbsHPTrrJnL93HdIfb51duakJq6/qt635
-lQhtP9vR8EADVr9+VyPEIxmU8/z/9Ryvw4LD0Y1jCymgri13T+9XNZYxPMf7
-RzcNFh+xWQ9ay/Hfks/p2cnpwMkUvnitsByfPBr8XpeZDrwXGUuMuHLcNP1i
-+7cb6bBpzcvtk4bluHYVI3VPfjocpA8Fi7wrw80kWZL+XzpEfhjd5kQrwzGR
-Zm1tQ+kguGI6UEirBB+Xu7eyeTMTth9bteVCXSH227vEKsxlQjttA4jcLMTW
-69ft0ixkgt09ecu2q4X4n7Cj75NiJmTuOEHInCzEgcE2DeNVTBAWSuAdeV+A
-61u2fphtZgLHqNCciWABbk7k8fQdYsLrAKl2Xec8rC3eoyEmQEDAnl3vfxnk
-4TedublH1xEgOgW0O2p5WLD/Qau7CAGGNnb7VnLm4ePRKVJYnICuYwXlrWQu
-Xgj5K7VTjoA6IUWmZkcO9ujZ+84NCEgoV3NQks7Gx5OEBR1dCVD6MaNesDwb
-KwlUzl7wIKBXo3iVxEQWlude+djGm4A1beIlayqzsKV1vcHxQALihpZNTWpl
-YbvcvykfIwngEyQ+MmoycWUETrO6RcDSo5Ylfekb2OJFJq9KBwFa+ipZBycy
-cPt7UaK0i4CgoXxQrszAXc8iPm3uIWDxW2w4P8rA8rNR/f/6CJiXoPP0niUx
-LdAwN/oVAVN+E8J6SUxcdrzuT88kAcOKa3ccoaXiJReezyJ8JOhEbXn7tzsF
-B3k+LvjAT0LlqGpCXVoKblA9HV8pSEJoutm3bQop2PFX/NA+YRJkafm1PIxk
-3KchELJZnARnlhrqK0nEF8La9VTlSHi+Q3c62icRR/T+i+uQJwFFm2cBJGLu
-FM5pY0USJAI4lp8vS8CqeY0b7HeSYH8yLV6B8zrWr7efN9pLwszsvcy68lhs
-FvpV0f8gCQ+LhmnbD8fiLKkDej1AQooFlx05GIM/la8K3ahNgmrHyW1BXDH4
-uVKqavkREoIzRirANArnFwUU5+mSwAMrHvQsD8eew2bqz41IeD0nL4NuhOHU
-3UbpE8YklBWfjqhQDsNrY+ici3QS9IXI48lmobgJDnDzm5CQ/lGh/0xVCLYr
-2Vu+ypyEo+K57W0NAXiTidT3g3YkWPZyTLz45I+/O1i8ErQnwTvEdvVnUX/s
-qlIz85Zy3thmfT4fX1w98Sj/0nkSOMuyBhm7vfCyXV5bLC6SsMGK9sfBxhMH
-eNm78TuSsFvQWiIw0QNPhdwfb6Js6y1pd3vKDZeqPdfndyYhJFBz8CndCXv9
-vsgX7kJCxfDvTT9qLuJlF7WyRV1JeKt931ZsrQPmDvhjWkhZi3ffpHWvPdYy
-OHLovhtVL7dfyhGKdvgG35jrAXcSbrLrve/E2uDiWYFHzZR/aLguvY83xzlG
-LcN3PUgw5JiKUtQ9i9UTNhTKeZJQ1e0s6L2Cgbs8q1MzKL+uY+vwLp3CDEvj
-d25eJBz8qGB06KoMNnqTfWTamwTlM75hH9x50C2bLVpHfKjrd3nGbrBQRtRq
-mDIpa7YiSSetI0juttwKZV8SruwG3leP9NCjTTGpPpRH+7KDtsgaoPGpaJ0G
-ylsO5l1MKTuDMppObFbxI6Hdd+uI7jdTtBDBddSR8oWKAgbHXkvkoHo48Rbl
-8NmUcfNGa5Q2tpL2hDI9gZ2tbmmL9kaeSFugLKsgbCFEs0fC3/j1pfxJmG+n
-i81kn0MLr/SVD1PusE1nPda+gMoH+VTtKRNLA9cLPzigeVtdmxDKFzNEdcOi
-HFFUD1c1QXmfqslyKzlntPzEwe1llHn6iZZ9jy+hv/P/WpsoD10aDBS55Ipe
-PzwW0U15gCt+o3+UG5oKF3dmUcaGO36dN3FHp76H+b2kXJD1ZMBYzgPN3Q4v
-HqScMHXp7qFFD8TkkOV4QdlPky9Z+bEnqnVxu9JH2Tq23FXiphdKErsk3U5Z
-5+Wpk7yXvJGMkOyX/ygry07LL2r5ICF6wWA+ZTGvBO5PfL4Il//6mkB52cOd
-48+HfdFmtuJ2H8qf+ftaWyv90NszJ6NNKPdbuGVXXfVHu0sv8qlRLtHrGT1r
-H4Aklcxs+SiHa2yX5jgWiPiklymNUutruS3ctlguCDn7uLtXUFYTHskx5A1G
-cLpV0Z+yAKfm+8WpYLR+Bb81ovx5himT++wyEpR3Wf2Pqvep8W39/nohaNsy
-VrcH5X1v6N+fNIag5jeCw1spb2OHrZVWuorMAwac2NR+oj0cNuwWCEXVSW7T
-MpQn69d4SoSGoqqR6PFH1H4crNif4jEbivYQpQwbytW3mKwNA2FoZPednGvU
-/s1MbZt1ORaOuFJ7L2+kHBc3u661PhxdP0uw86n9bu9/2tjpRgQaoDd/LaX6
-w8At2KuZNxLJ1XhUyVFGF0pS112ORAsPfKazqX4Spa98ft86CrVEyQ+FU/3H
-dWLvHH9/FOrl3RczTfXnzCE7YXvtaOQ9fLaaTrlbuZnOKxuDGk4xfYSo/g7i
-9R0w/xKL6ld87DFzIsGBM3++0jwOKamfOptD5QN9sV9keW8cyt/FYztG5YnS
-J6UzZZXXUMlznnFTB6p/Wsdf/PW+jspE73QKniOh957QgsHH6yh2eqfWHiqf
-7lUdEiswSUADsoxdhlSedZ8+rVi4KRElIpEbITYk5GqVOJ+mJSHTW02RhRZU
-Xmk8DPqlnoSW7ifwFFB5mLhn8FquexLSeqy7LsuMul+FlWU/3yUhsXrVusiz
-JDDW23293ZaMap9q0yWofOWe2+AyE5uKfH9Mp/vqkWC8OdnlWXMqOnVn5uVh
-Kq+zT65yrf6Rig79+KzFd5yqd8FPVy/LNJQ5dsAz7SiVH2fY7gu70tHe9kc3
-val50NcQ700bZCJzviG/YFUSxMe5fEbXEOgSb/feNdQ8ubg2yOfhIQKtfjcm
-SaqQwOHk6BteSiBvps7lfGUS9ogf8+cOIVH9yWyfRGpeEZdpwQLbbqBM523T
-FZtIGCv2Df5mdgPlzCb0cVDzbteLqeD+xBvo+EXlzwYbqPXa+eZy6uINpBP3
-q3NMhIQ/Iw0hYr03UbHmks4bap5aa3uGS3lnopx4zoX1y0gQ4po9QoxmoSP9
-XlwdIwSo80WuPbiUhTTuHtjv9ZYAC7H1wx83ZCP9LdybN70moEDxgJ+acTbq
-/7n+n80LAtToccUD7dnIxmivYv0TAkwLZPiFS3OQVPmxCGYDAVk6xi+TfPLQ
-4kTLAcXrBDwy/JinkZKHVHT9RA3jCJgwD3AfrchDUu7mPZ7RBOx2z+LZNZFH
-1a+aVRxKQCs5qdlnlo8cfnGEffQhYPxzeDYfFCCace69m5YEKMTXOsatLkL+
-vBq2yxQIONgboVe2rQiFyXEl1W4jgMHPUHyqXYTmvu6ZPbeFgNCk+a9rg4pQ
-kTbv2fubCHiVpuaeMVmEFNg336hT72fRmQ2+d57cQeJj8/YhP5gwVtEU3pFQ
-gqwu9Jw/dY96/+tvy+QUqkA7o3er6O9ngqRi+8+DShVoT9IjVQc1JmRFtOtf
-1qlA7+8+pgerMCFHvYPjV1AFMrDNmcxUYEJ+Zuf5qQ8VSCvHsrh5IxMYteeY
-k2aVyDSlYsDvdzpYXnWwerGjCv25GJk3UJ8Ol9a7TJc+q0YNxYpxhQrpcKrr
-QgZY1yETG5UsqcFUSI601ztS3YDKuZ0XEoNSgEuaOzxuthEx5OXP9wskwy2J
-J7lvtFoQ03nTpW8+ifC5msld9v4ByrDYEtnzIR7EogZ3fyttRfPpqlWMnFhY
-GBUfmTzThmokajniiqNgukTlWcxiO1LT+HTVZCQcOmsfRN1o6USJE6IBWStC
-wfCowQN7h25U3ORz6j+JK4BFTFpyVHrQkGuTcA0KAGDs5gydf4Iqwr50yc15
-g484X5fYjadoqm2joLmDBxxNUpZPrupDera16zYIuUDxC9Mqz8hnyMRjlerz
-QgfIeO7yauuZfpRy+H6J1Hp7WCuUea3CtB99T/h67ssKe4gxfII0LPsRussS
-av1hB35PFXJPnOtHQjxnVck+O2B0fXLy9OxHwRsEh4aj7WBtk+3floR+9Cut
-5ciz37YQm8eQMu/sR2sdG+vXf7GBAE90PlmDhR6HKf9+M2QF/+56Rg1rslCP
-SLNEWrMVhM8XFSkeZKHkxsUE61wruO6/7kv7URZykP+ze4+TFWRf+eT624iF
-mlqOWj/5bQmdccn+9i4sdGtMLAZLWYJI3vg11VwW8jqhLsnwN4ca9vWaV7xs
-tMDSmN5ldxZsa4slYgXY6KekiM6szllYm94eoyHERr3f58e7lc6C25klK2Ij
-G8Vb+fc2LpqA0qtLvAx5Nro2xZYrTjGBouET554dY6OQ5u17crrOwK3PPKKd
-oWyk3XFCoeUIA048lg31jWQjg443iapK1PdvyaGvsrFsJLbOd+6BCANMLwW0
-RiSx0eg7w2TRT3QQm5lw1c5iI9YdjYXGODokz3V24iY2+ijzuuL5gDHAwJiK
-ywM2ijlmrJ3cYgwzdbTbm9rYyNRgTaJtsTGc9lP3DuphI363Yhl02Rh4fxdu
-3jdEPa++/uCwrDE0DrVem3jLRotXPV6rCxqDU+PwT+IdG1UXC6jm/zaC7mDR
-3p8TbFSpVnr/vz4j8LdU0Sj8ykb0CLmnFveNYPuB03mMb9T5bklzixYYwUtJ
-J/4Vc2xUV2dj+j7RCP7/fwXilqxteBhoBP8DVxMbSQ==
+1:eJwt2Hk0VtsbB/A3VJI5U5KKDEUydKXSzkNFpmR4jSEkmWcRJZlllvccSqYk
+hXC5SDslYxHeN5EKt5JKogxJ9Dt3rd9fZ33WOX+ctffzfJ99zjYnH9PTbDQa
+jXcVjfbfNY4WF1b7k4X5O8priVATCBun+7jPsbDOkmrUqkQT8H4m67LlOwvH
+HU2incsxATrRZpTwhYWfn/DVSLlvArLKa7adfMvC7MSxPMcVE3jiENPO8YSF
+VavXX78ZewJWPbwsZJ7Kwmlf3YxnC0zhfERkxXcZ6vlzOWL1qy1gOrC1wVGK
+hdW7SzkTN1mAiydXa48kC5sk0fu9VSzA0DZruEyUhZvyYqX9TlqAxL5STud1
+LBxYIyRsU2cBTbPPnZiTTCwYnM/R4UGH3x5bRP+uYeJNanKRZh8s4YINvhgE
+TJydaMafKmwL742XN21FTNz7kLmrRMkWDHQ067v2M7HV4Wq9Xl1bEFNsnN6y
+h4mV7iwVnAyzhZrl2lNdskws1/14g/2oLUzkl+ts4WbiWePxhD+VdmD28dra
+zoF+3MEWoy9obw/ygedTJTz7sTXPBoP4JUfQHTBe/p7Th93rLg4K0k5DEOHK
+yVffi58c9ElzkHeHLKWloryO53iyuUknstMH7Car/MqWu/Hx9Q98vrkHAM+B
+q0tCB57huc9j/x51DAEe9hC2juwuvM6H6wOOPg8KSWM6a5534GvRAy8voUhg
+XNFnS5Zpx8Xqb/pft0XBpORouH90K/ZZerlujW8MOPqtqLx72IJ3RapzzoXH
+g9TBTS7XNj7G/bt3zzsFJAFbZ3Pv6PFmrD/KuiVxPwWyn8r8WLv5AR72M8p+
+tJgGrQttaGSgAf92tsnt8M8A5eLQP8+O1WHeUPa07z8zQUNnR6PBYjW+07ZT
+UMTgKvx6wmI+aqnAB11e703JyAZ2hvDZK7cq8CaLnBQ1RjZwn6Wv0JMq8MPu
+8FcvcrNhM8+g/KRpBf7QkFAocDMbtCyGI0T+LccG1d8rT/+TDbEfxuQ8aOW4
+4L56YcRwNgis+XZe6OAd/MXnGLvdNgbI667bfqbuFi77GllmWMSANpo4iFy7
+hTtvR38fK2GAc+NO+9ZLt/BCucjOwDIG5O0yJKSNbmH/BUPH1CoGCAulco++
+K8HFHz/X5D9kANuY0JyVQAmuqHQ32TXMgNdhW9v0PYsxx5zK3jE+AsL2qLxb
+PFGMVb47dvFvIEB0Cmi39xZjzj3iAgdFCDA95bx/LXsx7m1vr0qSIKBTt6Si
+hSzCh7R8uFftIKBOSJGh2V6IPauikvSBgNSKvW5KUgW4kyv7m4EPAUqz0xol
+qwvwCQHPB8f8CejZV7ZO8lM+JrS5XHWCCOBplbjDcy8fOwoloJ3nCUgaXjU1
+eTAf89yW6m6NJYBXgPhIr8nDWzeyu6leJ2DlSfOKiVQufmy3aX60jYCDJmr5
+Wp9yMD/yK7bqJCB8+CYo38vB+dsFdj57SsCvmcRoPpSD6RLJtSW9BMxLWnD1
+WJO4+hAq2fGKgKlzn4QN0hn4Z9PCP6cnCRhRFNx1hJaFBSxFJcp5SNCL2/52
+uSsTnz+0Vi+cj4R7Y+qpdVczcY+EdoWuAAlR2bYzcgqZ+MYHdxmmEAmytJu1
+XPQM/NQ/sKBpEwmezL2o904aPnnj9OdBeRJe7NL/Fh+chiNuGx3y2EkCirfL
+B0jDpJUsXlQgQTKMbbVreSrWPVf51/rdJLgYXU1WYE/BFWUh03/2kDD9ozGv
+riIRf102adytRcLj0hGa/OFE/DPotkY0kJB5ksOZHErAv2zc+1jaJKi3G8mF
+cyRgjZeOxu5HSIjIGa0EmzjM4TVt66pPAhesefRsdTTmsZqcLzAj4fXcTmmU
+exlz0BLv/mNOQnnZ8ZhK5ctY6cWYV6cFCSZC5LEM2ygsukaNf8yShOyPCv2W
+VZE4XbK6cdSWhKMSRW2tDWF46H3r+63OJNj3sH16ORGKqxQPtHynHBTptP6z
+aCgWSk9ob3Yhofj9NhPe4BAsY5qKTriSwF6eP0RXDcQ6BRG9OmdJEHeg/XY7
+FYBrmLPt85RVBRwlz6f540ORIiM33UlwCtrifGPKFxuqmZ796UFC5HnNoecW
+Hvhz/e1Bb28SKkeWNs/WnMXDgV71bD4kvNW57yQm6IaZi++qMigf5N4/6djj
+gpc4V6ZKfKn98l1UjlF0xhfFlFQU/Ei4xqoPup14Ct/4vSPxDuXZfT4r75Lt
+8KmftyLy/UkwZZuKU9S3xi03HogIB5BQ1eUpELSGjmU021piKL+uY+lxrxjj
+V6pjdNtAEkjdftvrwXpYRj3lQDNl+uBzb6VvgE0uOatsCyJB66OCmfYlabxJ
+uM3oJWVly5DLH/y4UKfSnL9iMPV+nQGJ4ieV0Vm1tJIIypotaIvHwSPoR5yl
+ulAICRdVgfvVEwM0OaKYbk15rLcgfLvsCfRarXkhh/J2reKzmeWWqPR1+AeB
+cyS0hciM6s/YoNCLdA9dymcqS+hsf9kj6fvGv85Rjv6ROW7X5Iga/xhllFC2
+SGUVaNg7oS2u5oa9lGUVhE8K0VxQ7HYZ9XnK820WYtMFp9FEZuNxsVAS2p2y
+mU91zqCECT5SnTKxMpBy64MbWlLZJniC8tkcUf3Lce5IxPZL4xnK+9WtVjvs
+8EQLOzwzwyhz9RPN+596ITatwtwEysNeQ+dFvHzQ0MZkZhblAY7kTaFxvsiR
+b9eBa5Sx6a5FVys/1GB2uf8G5ZL87gHzHf5Iey6d/M+pU15/a//yR+lvbNNy
+KZ/T5M1QfhqA/Pve12VSdkys8JG8Foje+6rwxFPWGzQ24vYKQlJ7dTPPUVaW
+/bbz18FglBymeOw0ZbHAVM4J3hD0wHNCyZjyqse7x1+MhCBf8cuH1Sh/5utt
+abl3DqV5rE4Uotx/0reg6lIoUpUO/TNDrdcdg2dj1i5hSFHijXrHf+u9T16K
+Tfc8omUXzpCU7eWincp2hKMz/kO7z1DeKzxaaModgXIfZ8zspszPrvnu11QE
+Mm8fVZ+l9vfzNEO6qO8Capke+FND2Xhcrj/UIBK9deDbLEt5/xuL791NkQgF
+XPAbpOpHjnVZUErpEio7+u1YLGXa4xHTLv4o9KhfM45F1d9kPU+AZFQU8mMd
+nwykPFR5INP/RxQ6JN/3gp9y9XUGU3zgMrI4RagfoOo5L6v1h7duNMrhkqzo
+pOo/KenHhpb6aDSRnF5mRtkl9Li5R24M2lbTo2pD9c8J34jAh9yxKC1zDA9Q
+/YXO3MnacCEW8TwN7DWmLGqx9sV9xzik9uR+tArVnxyGf83x9cehePRY7hrV
+v9PazsIuOvFI+dKUyX/93aX80IJbNgEZDbqrP/IiIZw7ZMDuSyJa9hIxW0fl
+gxv7zfl7dknobqSrogmVHxa/+kVW9yShf0UdkzOofFGaULIsv3cFPVSR/7jO
+jeqflvGXy0EpSG5Gg9ZC5VVPo9DPEx9TkEzTosQ4lWeNVdpiJVapyCxVrYVK
+Xug6flzx1uY0NJPMX77nFAlFB+94HqelI7WZm8v2J6k82/c4fFEjHeU32HnZ
+25GQtmfoSpFfOvrWc8vNmsrPcIW15Qv/pqPQFUl2bWsqHzY6f73RmoGGYnuf
+v6HymHNO3Hs6MQtJFYvzahmQYL4tw7vvYRbi3mDnzEvleYHROp/q2Sw0JPth
+eFCP2u+SBZ9A+6vItvbnXqejVH5Ysvx+qmSj31ORxUepedHbkBxEG2Igw1Xv
+sujqJEiMcwSP8RBIiDtQ5yM1b84Khgc/1iZQ1HV78UA1Etg83EOi7xIoWLFY
+O0qZhD0SuqGckSTqFHwb60vNM+ICLYJfLheZ+bgqX91MwvuykIgZ21z0U0oy
+bYKahyovpyL603IRZ4WspIY4tV6731zI+pWLDoW2tz0VIeH3aEOkWM81lGnW
+ZtFKzVtHnYDorUF5CHde61y1igQhjh9HiLF8ZCc5olQ0SoAGb6yg1ko+evZn
+w7LxWwJOim0c+ShegMaz9MPnhwkoUTx0bq95AWITbMzUeEnAXouksoG2AuRl
+1G6S0E2ATYk0n/DdQpTRz2ll30BAvp75YHpwMfJbzeE/lkzAE9OPxfsyi5G5
++GPrNUkEfLIL8xurLEZ4/th2uXgCVP3yuVQ+FSPnjN1udlEEtJCTmr22NxE/
+9A1eDSZg/HN0AS+UoMuH7Z4dsSdAIbnWPWl9KdpY71d4cycBWj0xBuVypYio
+/6fXWo4AOh9d8blOKdqd53CAazsBUenzXwXDSxE8OPnMYTMBr67u9cuZLEX/
+ePziekud3+LzGkJud99GE19cPeVnGfC+8kF0e+odNHDxcCCtkTof9rfmsQtV
+oo2MRwmbDzBgi2LbgpZSJdrZ13FCfS8D8mPaTC7oVaIPCjvUDNUYUKjRzrYY
+Xom2zT3X9VFgwM28DtepD5Vomq9rLGMTA+i1pxmTtvdQZVeC1ImlbLC/5Obw
+clcVeuPBfFZTnw1eG72/3e2rRpIX2VQvKGSDceeZHHCsQ/yFK1tmB7MgI9bF
+4Eh1A4rXPKSUGJ4JHFKc0Uk/mpAU2++MVv4MuC7ZXfTmYDOieZTWrg9Jg8/V
+DM7yd4/Qvbt3Vx0eTwaxuCHVmbstaIpba7izMBF+jkmMTlq2olRV6YaZsjj4
+dketL+FXG9Kzka0lRqOho/ZRXG5zB7JPnqu/vyYKTI+eeOTi1oVUjfSU30he
+BCxi1Vyo9gz99UDuwHkUBkBXZY+a70Y/Jg35X8wGQbAEb6dY7nO0/0G0tKyb
+PxxNV96ZUdWLbggSYbVC3lD20qYqILYPiRtuoz8sdYOcF96vZCz7UZ3m9cLD
+G11AUCjvSqVNP/JaYFZyr3WBBNNutM++Hw0lqDaPzTrDuecKRYan+5F01kJf
+da8z0DsnPAIC+tE94R7e6XhnEHzgtNyc2o/ejF/K6VtygsRi+la7jn7EGyNJ
+rPlyCsICkGvGPib6w/ZRv2/YAf78HRA3oslEukkXJBMfOkD0fGmpohYT4fUp
+qyyLHCAldMOXtqNM1P1he6+ihwMUXJzwWTJjIhs29tj2JXvoSMoIdfFmovzl
+J/xVW+1BpHj8inoREz00WjcmGGoHNayUmlfcLERoBE+IOVmDU22ZZCI/C00u
+1nKwdK1BMLstYZ8QC1X9/aPs5i5r8LVccSA2sZBMQZvdlUUrUHrlxU3fyUIa
+wZe6TmdYQemI4ek+XRYq2G8Xo9lhCdc/c4l2RLFQqafoUbHDdDB8KhsVEkt5
+WYqRoEh9H9/R/iqbyEJRS7L/8AnTwcYrrCUmnYWYRaJKNuMWIDb9yUcnn4V8
+QpoujCdYQMZcRwd+wELy0jDXyzIHGHiv5v2Ihf62z5qMx+YwXUe7sbmVhVw6
+D7wxLzWH4+c0gsKfsVDcbVaQfLg5cC/d2rZ/mIVUnHyFHmw3h6bhliuf3rKQ
+nneU6wY+c/BoGlkg/mUhzrdcxyIWzaArQrRn4RN1v8k/KanHDELt1fbd+spC
+SzzWfbsbzED+0PFi+gwLtcS3BHwsMoPBLR58a+ZYyPrq49PVKWbw//8ZyPKp
+R05aqBn8D3RjH+4=
"]]}},
AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
Axes->True,
@@ -6126,13 +13363,9428 @@ J/4Vc2xUV2dj+j7RCP7/fwXilqxteBhoBP8DVxMbSQ== PlotRange->{All, All},
PlotRangeClipping->True,
PlotRangePadding->{Automatic, Automatic}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for co-propagating case.", "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->574469730],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUWHc81e8fDaU0yQwhI5Qiq5I6MlKRVUlIRkllV1IplCJaiKb4JpWGSEZG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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG
+UiQZklmGzJlKShokKen129dvXffn6Y/1Oefsvfbaa6/vtdf9vO/n7W3Us0+X
+C/NSqTR7w1KpSM99k/HN+8bJWiVrmWz/ZBXJqvjcT5+N9MPnwGRVk22SbPNk
+1ZK1dayVflX1a2WsDZI1T7ZZsjbJNk12kN+bG4ux1skOSLahe/Js4frqyQ52
+v8Lc9jXP/f3OHdsnWftkWyTbMlmHZLWT1XGv1ua3kWcq73mA+7VzvxrGqWms
+Gr4f4rmau/cGrmvufrWSHeaZ2rjfuea2n2duu14NDtKvmmdkrl6yTsmOdM9D
+3XdLY5PXVsk6JjvC83HOw83zEM9Ry7HymkONV8d1HTxrO/eu657EPcocyKWz
+3/Vdu5XrGyQ7JtnRyQYlu8H3bXyyLlObfVxX1/j7Wb/zkp2QbPtkJ7rHUe5b
+1yc59bLG5Vqf7/ranrGWGl6gz9buX998GpjThereSoOFPsl2SrZzsm7Jtk3W
+MFkXn42SHZtsu2SNkx3vGN/HqfFFxmqjppc43sZ3dO3rXAP3oHaXOnewsZsk
+66pWaNY/2Q7Jdkx2crKmfp9kzZpaNzTvp5Zbe2bOj/ZXGKuJa05wP3wvs36w
+cGWyAa5hrJl1OdX9+T6lFNpf5Zp7S8H3edZiO+tDLXdJdlqy+9Wvt35od1+y
+3ZKdnmxXfXl2d3x353qr6QOO7ZGspxoyjuYPqWsfnw86t2eyvZKd6Tq+z0i2
+YYLy8/ScY15jzamPOj6sZherIRo9pn6NPCc8jNMH3wNd28c99052ljU/QU2P
+Ufcuri/zdZIaomVb9+urNmj6uOupK4xcrt6HqmE/fbl/15eCczQ5pxR9B7/+
+roOdk93zMPW+wrqftp4O1L5HKZhA62eTXVOKu8t9fMZ1rO+gD74flYIJ9OUu
+7WxcGIKdMlPdHNvVfbqb+3WluP+fq+vDaranOvY0t92t75nW+zzPTF85wjzJ
+dx9rcI7fVzu/h3GJB5+zS8EBup1tbHraS8kmJxuY7FrPjnVyrKv6DvW7k/mf
+b070qF5+07duKoX2x3nezuqFHeOeMPVIKXga5Dis9DYW/Q3OYbyl4y38Lt+B
+VubR2X3KzN1ofGLDNuzC2qPJhnkWWBxSCt66Oo/fQY4NMf/xpWAV9mDriVIl
+i4zTY550rr8GM08lu6UUDJ7sPOsOcW/Gby7FnX8w2af6wc/wZLf6Dj8jSsFS
+mTHebytV9rLDzfPrUtzhUaVgrUcpGEXzj5N9UgoO2PP2UjDW07j4j3QN46NL
+wRHMwxJcwBZcTHT8atfD2Jhkd/gOrzepw7Hq28VvWEd3+tJdpWDwbNfwfmcp
+7t0Az3eR/qzjrnxmvbhDA0uh/yVqO07N0G6w74PN5Uvn8UN/OBiqhuOtWw/P
+Pco54nRVj1PU5BZ1O8kYJ/pN/4KNb5PNLQUTMNDf55PqO9wYVzjX3vM+7Rja
+jlDf29zzVH1+0I84O5pTP/d93LxHqiVaF1nc+TPUZowaPqeGo9UaFrIs+hqc
+TEj2cyn64Rjne6r5BMfJ8TT3u0P90O5TNaqShb53qitavZDs+WS7prl/0nNt
+Ke7tpGQvJltTivFd0vyr1vdmc73a3Olx9MB7jHWtsbHrjDPJuPxWwD534Hxr
+hNbc3XuNca5rrnMNd4M70tsn63sZgzXnmce17v+ga+hLsAVHX5WCO/h5uRTc
+wTA9qcwxPWxqKdjEFz6+U8uhnn1asm/Mmdwne6ZBGvdpivHIg574ivsONRdy
+6msOX5gHNYXB6cneVb87zYH96VWv6QOv8At335dC/6vU5Gnn4BZWYeKNUjAB
+i2+VghXY5S7fqh8+b+qP74/64DvPPSaWKvvgjGQzjQmzMArXeRbf8Pl2Kfga
+qJ7PqRMaVWRxH2Bzlv5jSpU96x3PD6/vleJ3eYMsOEZL+uomWeg1Rc3QYpJ6
+zLG2GyWf941zt/rc5JpBPl9Sgy9c96h70J/gAF6mqvumWex9hzqR53jnvlaj
+6eo0w1q9roawRC+CIZiAh1fVfrpz+Gye9qieRc9C32H6TbP+M9znKefnqt1I
+9aVP/KR2Mx0bpZ7o+oM53arunG+IOe2TRd9BxxHGxWeLLNb9qHb7ZdHLRqvz
+TPWdXwpe3lbTWdZoltrSg9CxuVqi/4PJFiT7RTa2SXNbJ1tkje+UgYXJfi0F
+S+87Vtb1A8fYe6K50EvoDx8mq5qFnl+5xwvuOV9fxmCYfnufzw9dDx+/lSKf
+A7L4Ox6uFhiHfOCT8zykL2umuGay3+Q/yW/ODf/0qdnuTV+bY6yHS5V9c6G+
++NH/OAesjnMP2FzsEy2X6LNxFn5nW6O7nH9Fn0KdZ1vXBe4JZ/C2LNlmWbAN
+mzAKd3+UgjlYpT/BBRzSe1boM6MUdWqh3suNOd05+Psz2Urf3zAGsWrIfrWs
+8s6QA/0WDn8sBd8wBlfl36gya7ls7psFD7WyuBPYBBl5T17WJfu3FJy953re
+15Yqe+Jf7se+3KlVjnOvYBaG4Gf/LO4GjDPHnfg72f/c6wPPWMP7DUNo1FLW
+F8rG7+vpSS+gDm2THZgFx/S9JfpNVael6oZebbLoU1/IAPvA/SauXyIDS9Vk
+uTF+k6fF1nsz46xQ89f0ne43WhyarGaydp6Js/2ppitlhPw5xww1X2FNV65X
+41WOLTW3aY69ZQ23zELHw5KtdmymOdS0N6127G21xp9152TR1+ABjc6zf9VJ
+VltG3pUDdKf//GYd4Le3/epfGVmnz9HJOie7IIu+0NKeUDc9t8pCz/rpWS8L
+Btatx8F/crFWduGOfkPfKZkTXNWRqcLfS2L9Kit13Y9v9oPFBfJPD//YWqyx
+NlWM9alx58svviX/1tzQ+1r+va1in14kH5y7vmdjbCP74RzrBZMN0nf7LLTZ
+UuZayfqm8stvZVXH6FWbyi1z22YRB04bZcHEMg3+tktjB2XBJ1xxvlnW8Q/5
+auIcPvQP2DzYu9TYfoQveXA3HnM/9mooy9XsQ82yYLHMIef6SV4Z31EGa8jh
+Dlmwzfz23h+47yDDtbPK3tfUdaw/REZh89xkO8s656vt2nnmwfhO5vGzeW0l
+02j6Vnq+mWykWvT3ru4ux+tkj/fd0tieMgqXLdXrwmQXZdF3Wmfxm4z2izw3
+ddlRvuvKJXwsloGNjdNSTRuo6zrZ38N7w/3injVU60Zq9Ic6VlM7eiD1bGJN
+0RC/7ZzD51JzQgPqX8O6trPmTY2xRJ23laVL1uOvtWfu5zrWN1XTHdyPHJfZ
+f9pb2w5qW0ftdlI/etbhyQZkUbO/1Y6a72Hd+c9X8Lur648wHnU9MllHdUM/
+9Loni74GJ+cnuy+LvrbGWDvrR7y19kJyIJde1vx+eVinFmh7VLJOWfTLvbPo
+DTCxl/nekOz6LPreg1n0Pjgp6cuafV2few7OA5td1e6ELPownJf/lmRN4Vnr
+ylRH1/G9mTq1Mb965tvcWPSpA+RoQ/OD13Kf5tnA86PXln6j/zHqDatV1X8T
+92qo1sfq00e/1s5fnKyLcfA9Tn8YaWlO9Mi+5g+nja0FPrAFO5dnwRh8nZQF
+d/Bc3Zptb936Od7Os3J++vTJrt3RPdhrc/dpbIxTs+AP9q6wDoe5hvFTzIWc
+6Efwd2UW3JyWBVO7WItGnnUnx7slG5sFi/AFl/B4r2vgsLuxahkbfY9Q455Z
+sAiHu/l+ehY81lfLM7NgEBbh7oEsON7D8TOyYAOG6lmny7LoCT3MgdgXquND
+6oiGF6nRo1n0goaeE20fcf5ite9jjM7mt7V1Pl5N4Q22jnE9T/g4UQ23V5++
+7nWpeY43xnHGOVFfuHhC7eGE+3ed+x/iWD/9TnLd01n0fHSmT5ydxZ1s71h/
+Ne2mft2tTw81Qnf6FUzAFoycqt7dnMPnmWQfZtGP0LqZfqeoe3f3Qeerk12l
+1nuo11GeZaD6nqGWaHhtsmuy4KCH2hGno+OfZdGD0HF34+ILhx9n0RPZr4Pr
+6F2Tk03Kok/tY13g6Sz3h6lPs+iN51o7etNj6oVW5zlH3zrfb3pQL7+bmztn
+gMcbs+DgWM96lNphR5sXPMPyAdaik34XOkcvgcGHs+Cvl/uwpszZIH2Yp1cN
+Vzu0GJwFV/AFx3A3zrHB5sYcHA9xHr821rqj5xmqDxzDHRw9mezmLLiDP1h8
+PAumT3B8mLWjhm2dO1jfk831JOMRlz60S0X6TSwSl+l5WxZcdfM8vN+aBYfw
+fJgafZXFHebvHriDv3tl4aNks7PgA31HZ8HV6cbFf4RrGB+VBT9wDkPwe4T1
+YPxZ51gPe7cnG+P7Geo+SG1uUCe+H1LHz5PdmQV3Z7mG9zus8VC16KM/6+Ad
+PuEUTuCsk1qh5yNqiaY3+X6TuXzh/DjjDlbzvtbuUc84MdkENR2mfiOtDTUa
+r77fJPsui970pPme4JrL9Bmvruh7SxZ96Sl1RsPb1PFyYzyhz/f6neS6m/Ub
+rv6M83sHO8+oxY+uhYcB6tdDna/UB1/+hwH0rDIPeR79ortrRppXN8/cU13R
+l/v7YrIX1O4ONUOH55M9l+wTNarIYw37n26MM1xDn6Bn/P/vdx69DB7oT4uS
+LbR26MK9ob/enUU/Qpur1Aqu4ZseNNZvYsMHjPc2L/IbqF6PW+eJxrhGX9b3
+8nyc83rPOdDv5/S91j3JiT44SV8YhzW4mprsZd9hDebg68ssGJyTBdOP+KRv
+DVPnV5NNy4KnYa7n/ZUs+Ods9MTyfbjQurH/IPdhP3rY19ZwvHPcg5eSTXev
+Wzzj854TBuFurjWiVvQouJuhP9zAS5YHbzAFe29kwQ3M8J+/4Aiefs6CvQnG
+Zo/+rmM9rN7q2tddz9o33XO48xOMg/Yw9bbx3/Yb1uCoSh78FXnw/UlW2Ztm
+qeNEtXzHcZh8Lwum7/Kb93fVcYmaTraO1PBzddww7TPFsRvlAYau9/sm1z6s
+P+s2zqMffalGm+TRu8c59oWaT1P3WZ6Tc9B3vk22WR7zMPKq2rymttXyYH2u
++rPHV+r5rTGmu67MwQzXv+KZh6gVMYj1Q7IaefQmdPhJ3ffOo6fAwxvq96bz
+W+aVfYn131uLKdamrN9MtZ+xHgtvODZGnWap27wsmELfffPoX6OMAXew/Euy
++Wr6rlouVBs0pDfByf559BXu8gfq9muyBcla5NGb0PcdmSDW1um7fh7xPnTd
+PeY0wRw542DryF3hzpR/g1lzr/k9Z77zXMc3f5PR58gLFt/3HLONNdYzwNtv
+8gT3D/mEffoC3N/v94uefaG1YU/uPZxtlAeXn7jH/Z7/BdfBDXzC5WK1m+pa
+1j1iLlPM5yzzpuZLrAFMbZXH3sSmrs3VYFkWHL+qH+9Lk/2RBaMwOVd2qif/
+mnmwBFewDNPfqQ11+jcLvmGevvdnFly9bgxiPWVcxle4N3stN9bmecRmDRyu
+TLYmC1Znqd089Zrp+OosuIfBVVncB9jcJ9k6c3vf8/9ifddmwRa5/+VexIAl
+7g53iLM+7Xn3y4N7+J3l2n+S/e2+5PKruqE1tTokj3u7WH3QCabR/YA8WGJ8
+kTVfbi2mqt/vWWhfNY++RV03zYMJtFqmXq2cx4/51vpMNcZi/Zao8xzZIxd6
+GTU/SB5eNY9v1WIze8tfarFC7f5UxxXmfnAevQ9O5spLNXmpaR1Wug5tv/Js
+j1rvLexXf6vhW+75pt/M49debZ5Vq7Pz6INovVoe1qjPWjVCu3PtWf84P0st
+uA/c43Xy+5461kvjdfPoMfSN/2Tof/ru7z06P1nvPHoWmq6VKWLRrzonO8r7
+xz2sk0feMFzb/v2fe7DfAvevkDd6QyHP5b8ZM/9uJNZ8mSZWLWOT+69ymLnH
+R/qw73xzWyR/C2Vwa+tRJa/8Pa/wNx2+WspuA5n+XSbQaQfHmCNmG1ncTBZb
+yycMNsxj7cbG+0LG4QHf7WRxuYzzvdQ7tlpGmuTBHfzBWVs5Xi6Pjd2bHL7x
+3nB/vnH/Jd6J6rLZTgZryuHh8kZNd8zjjKtkeQs5rCHv35sD+3+nHzk2S99N
+82C+fHd43z4PBneR2VruhXb7yOk5yXbKI85qfdfIM7rXVvvz8uB7f3ndSoZ2
+k0U4hM1e8so5OA968VsKK+i/jbo1UBtqtK36tJTtPfJg/3+y8pvrDtDngmR9
+8uhHB+axN/67G3Nb2anqfCu1Xq5em6sjvQh9G6sx2rWRoUZ55LZU5qgvtb0s
+jx7UzpiN9GHdxa7tn0dPPjQPLbZ3n+quY/326tXUPMinr1wc6vrD5aK2GjVT
+JzQ8TDbKmu0sP6vkYTfrsrs+OxsDHe/No0+tVb9dk92dR487R207Jjsij76D
+pmPNo4N5odHu6oS2nZId6Tku9SzXJ7suj770QB79C+3QdU9j0FP3yiv7U8lv
+zjfAM3Zw7zruUVeeOpprXXOt4zdcw3f5t5k96E/7OUef29/vCmPVN8/mztGT
+WvhNrzrAb3o5LMLX0XnwuY3vh5vzYc7DYZc8GISLixxr6Dhc8o9IWupTVb9L
+8uDpIH2Yp4fBGswdl+x43xvrhz99CL5gp18ejMHXifrBYNc8+EMneskJjuN7
+rLmxz0muhX14rKkWfMPZye7DfvSn/vq1N/6l7nGK/s2sb31rxjc8nmq9trR+
+sNw9D1676cM7XMLsPcnuy4Pj8/VlDQzDAKzU8Ru2e+TBZj33h1m465kHSzAE
+P7B5fx6sn+5afM/Qf09jshe98QK1e9DzoH9ndUTnPuo4Lo++8LBjF6n9MXkw
+0sWaH+vY0Y5vp8ZlrRurXV9r+5hzx6pXG/djr5bmdoH6dlXjT5N9lmyDolQ6
+Mz3vTHaH2p+oLzo+mexytYWjy9TwFHW/yjpT7yvyYP5p55upKZqdpoYf5NFf
+7jE+sQ9xHevb63fqenp3dz37weIO7ntlHpzAwEd59DL0HZjsWs/4gLqcroZo
+PVZ9Z6v5NcmuzoMr+t4+anymmvcwhzJHpzuG71l5Zd/a2+/DrQk50vcmJXvR
+WOy/h/sd4f5lXQebC2NHeoYj1zsTT7iFd/inZ/VRX3oDvHIP6FO9/W5hDvB4
+tPOs39+1D7ke3gbpc5T+1zvGHGzCK0w9kgcjTdXjYuda6weHNya7yXfON8Qz
+wt+jefDZ13NQ9339Zvwg497iPjAH5we7HjaHJhvme9lnvH5wCldPGINYJzvG
+HLzBHrzB6q158Apzz+bBImyNyIPF0/RlTXvPMUS9rtT/cP3gZGSyUb73MC5x
+bkv2cR68jnUOlkbncR/g98NktzsOKzAAE3AAz3AL0zeo1SB1Otox7jCcnam2
+n+fBP7+9A9UW9mDzCLV/SB90+TKPPtVFDYn/sJp/4dixatvTvcao/yP6nmw9
+h1sjfGHgMTX62vp1VcdL3Hucmg5dT1f0u1ldxxvj22SPq++JzrPumWQ/qulw
+15LL93n0safM61bnnzDOZWr7lH5893N+hLp1U+dnjI+OWRF953Q1G6323dWf
+Gk/Ig6nTnBvh/qcad7S+sPBCsufV/A7reob6P5dsYrJPklUU0bv+y6Oflpnp
+6Rp6Pfefv1MWJvs1j/7zSrKlyZbk0YPvyqOHkd+V6+XL82prjS7cS9iEUe7r
+fX7TR+ARlst/FzJ3vrlebe6cZ6Dne269sRccv87Y5HSOuTIG1w+4B+eBLxiB
+Q5iamgePMAfD9DPuAMxOdvxz59D5mzwYmup62HzQPS5wvxtcS61gFBa/sg6P
+uYbxl82FnOh/L7nvjXllb5qWbJbajDEH9ocvmIXP6XkwB2vlnsX3d+oKX/yD
+XBiGT9h7PQ+GbnOsv+OvGXO4c7D2RrI3fR/pHGtn5MHyAPUv96y3kk2xRouT
+5UWwDm8z9RmtvhPU+Hl1vdY5zvt2sletA2eld8HtJ9aZGvO7+Jka8XfIu3lw
+f6cMvCAHYxx/xzpPttafux4NN0rr5+SVPWqq5+B7jiwMUdeX1RNdv/RZtYj3
+tz0n56BPwcymRawbqqbjHf/aWFPlYrr1f80zT7cGr7pumPqiLT0MTaun2HPV
+5HV1eV390I5+9oP64j9XPt50foTz+NVMsTYvIjZ77FVEj4AfNJnl+dDt52Q/
+qfcozzzS7zfNg3MMl4F9iuh3N1rXl9R8frJ5eWj3jjqh24Jkv6j5/smKIvYf
+ox99qX4aq5esShH6tyhC+/eMR3+iJ7yfxz3gPpR/I+l79/h8Xz/ONdF8ONuz
+js1z/DnHqNUzfj9vnr/4Tu4wSs/51DzhdLJnYv5FbZLz+M92zcfmSh/8zBjw
+CVswBo+/WT/qCLdwPMc9GF9kPGKNdQ4fGN45+a9OzzV5/K15tnXapAiOYZIe
+D68w97LvS5zDhz5WRV3QZ3kejE6XGxirlsZr2Hd+kAWY+NO4+C9zDXN/5MEd
+9+JxYxDrScc3K2KuzDdxVvoOx3AHg3/ncT7eYbUkd3snW5UHm2VGV7n2HXlZ
+mwfXZc1hYIui8g5xFu7RfLX/xT1mWc9/fCfevkVwD7c/yQzs/Ote73m+at45
++N1QhheqJTq2LELjjYvQfZEaL7d+1JE+Sw/5PQ8+NnZN6yKY2URGNnSf3/Vf
+op6b6DfFWOxDz6LmbYrgYZr7feke49QM7VaoG/6sa+uZygy0K6JPTXcNufM3
+BffhRTVcqaY/WnN60V/qs8ra1zAO8+31WWEOZR7wZ91ZRfQvdP9bHlar/d/G
+RKNz7E1rnEfP/WT7PHvOP+oL89xHavivvLzrOeqmsa2S9UrWXB3hpE561k52
+VLJO9iv6DX3nf8Z+x1hbygoM/uc8frWKGIPJXJ652+z3i/uzx7y8cs/58olv
+yb8zYW6dDBbySZ+oL3OwRX5os9AzLVCrQt8K45Hfh9akwrr8bK6co6U8w+E2
+srtYNmGtVRH7Mb61vjBaZh3G8Fss1w3S+7ayC7et5XpT+w9cNZG7g2S3kewu
+k2f8v3Y94w2LmGP9dkXciZed39wY3xp7hfFXyteO8geT9Ibq8j53PRabpu9D
+9KnpPH4HW6P2slzuWTs5voUc/CWn7NWsiHd8t5d79tlbfs8u4r9L4r+H3VUe
+aslEuTftYv47FJEb/NSRoV2L8FkrA3XlAO22Vr8G1h8dDkh2gZwTi5zIp5d3
+p7maHqBPSzXvUwRvi9R9d+/SOvfmfTd1byA7m6kpvejSIvrLweq7TO0aygfa
+NS5ibLk9Aw3a+eznezVjtJW3VuYIF42MB2MXJTuwCO1XWHveGxu/tfOweqia
+9i+i9+xZxD1ZqYY7qOOOatneNbBB/dd69r9lAd9zk91TRJ86P9nYIvoSWvJb
+vkZf+NlZDXd1Hv0PT3aYOh+RrEOyu4roj2db/93UAM2PTNaxCB17J3vAGMQq
+97Hrkg0soj9xPs6JfnsYj/22dE0H17H/3talpJ59k13ifrBY1xzr+E1/hu3y
+34+sz+TgINfup19h7sSoZ55wBmOwCJNVfOfZwjyvULOji2CtgSygKaxeLAfs
+2aUIxhoaF//ORWVvOqYI3uG+pTFayQbfFzjPehg7NtlxvsMrbJ1YBF8n+s3d
+glOYvSxZ1yLYa+Ia3o/3zPU9dzvX0GvaWufy/eEs9EK44z7UdA/YPMknfJ6S
+7HJ9Di0qe9Ap1q29Gjfw3NTvVH3gEf7gsLvfsNkt2Wm+Mw9/cH13snuLYB22
+4QEOYKCHcXZT60ItO6l3Pefg7vRkPX2HRRjmvnBvzkh2R7IxRTAJ07XNu7Na
+jivivl+sJsepERxcqIbHqDUsPOQ4873V9wHXdFHnC5xroTZbu99x6ne8+jxW
+BM9dHWusVhebU1s15HdpfBF98DL3ezDZp8mu9Fwd1O6JIvrdwfqyht4E80+p
+NXqerEbd1PBUx5upEb1ib/3xhZP3i+gjd7tuZ7Vtb3z2OcQ8+rkGppuaI7kO
+SPZJsvs9xx7q1FNtr012TREsXJ3sqiJ42E2tr/KsR5jjmUX0F+Ie5j5w9WER
+PbS7OZbZ7OEY/ezFZC8U0cv2MtZ9RfDzcRGcUgv60GD1Q6dzndvXHMmlo3l3
+9BwwAgfwA4swvr/vPOEUJmDx+iJ4YayFNSBGJ/M8St+BjvH9kPEvNDY5cVdu
+MCbMwigcPew3fA4qgjkYa+M8fvStcY4zf6P+xxaVPesmzw+vQ4pgC4Zhudy/
+TtB4H6YP87AME/AJl0ONc4Lao+3uroObW/THl94GW3BFXxpeBJPw+kwR7A0w
+x8HmOcBxmCj3oBFqDwOjimAJJuHptiLuAL4j9ccX1uHog2QfFcHWffreZg6j
+jckZYAAmOqpdZ/VFK+7sA2p0vToNVG90HWMtzrAGJ1uHz9X74aKy391exB2a
+XQSvaPdFskfUepD79HHdQ451UdubfKLto+r4lfV41rqOM95F6jRM3agxHAxx
+HesvcW6Iug5Ty5uTPZnsu/W0f7yIfna5uj6lPZ3se9ec6Nkvd/0T1mO4403M
+qauxiPmt82hyq5qMVutR6tpdHfk/KfxQvUeo5Qh1H+n6UxxHz4nJJiT7XxF9
+EB6uMOen1PD5ZM+p4+3qNFrN+P5YvfK0d0VF9EF6OH3o12QLirjH9BXuMr32
+ziL6HHoMWE8fnldZ+3HWH07hld50r9/Eg1d6xFjf7/V7gjGuNu9rPMdEx67x
+TIwNNDY50RNfcAzG7zc2/QvWYGZOEbzB2EtFsM8dgEO4nFzEHeD7M+fR8esi
+mCozOtX4xH7A/Vg3KdnLRbA4xBpQi69cN9i1j5jTRe55g3nB6jTXvq1Ot5sD
++9O34HB6ESzDF+w+4TvPb+UAjv5LNrcIVuEBDmHodccud3y6cW9x/jZ93igq
+GbzF9a8VwdcV6s8cbL7p2Tj/78myimAavt7SZ5T6PqvGz6nrNc5x3pnWYKhn
+hEn4/MQ6U+MX1WeDimD1nSL4vkMGnpeD2x2f5brrrfeDrmctfQwuNqoIJtB4
+ivrMcX6w55qqpl8W0dd4blwR7++4D/vBy6YVofvL6vmKGn4tD1Pca6rnRINX
+fX/VGrzi2mnq+o0sVK+I3jVXTWaoy3B1m6FGPxTRu57U9zs1fV1dma9ZET6b
+VUT8b9VypLrNS/azuqHP22o0Qr831POnZD+aB2e5Rb+31Ba+X7L+b6vNLDV7
+1/rRV7jL7yX7Jdn8Ihipl3KrWxG96Cf3m+B+z/j9vutY/4Hf9Ab4g8P7fHIv
+yn+L4XePZ5zoXhN8n+f38+byjPV62m/GYW2BT5ic5PkWJlvkO2f+db15eILb
+Mn9wTQ+Zba5j9WGePlS1IjiDmcVFcAMzsAl3cDvFuZeMR6z7ncePfsPfkWdZ
+Y5iEraVFaA6rcAlnsLfc+Wnr+TA/3j3Y67dkf6g1msMkjH2vLnBFvf4sgsfX
+jT3d+K85vqIILuHuCdcT5ynHq1XEXLkfrfQJe6tkpKwVPMER//5wTRGcMQa/
+P6nt30UwOdOz/KZWa137rrHfMv6P6v6MulWx5yxS58nqO8nvBfLxgtpsWBF6
+UvMlRfRG8q2dxmupLRrTR6hZDe/j79Z5qvpsYj9ZpibTjLnUuMutLZr8tV6d
+Vjj2mjXevCLu+gy1WeHaZcZEx2r2l5nWcLW+rxuXnOmDXzm/Rp9V7v2G9d4y
+xdmiImr7j/VdrQYz9X/L7zVq9Y/rflI31v9oPLT5V62469zxddZ7q+RXpyL+
+FlrnHP+2jH+ry7/h5LeQOe48f2fxTQ/gd6rkbxV/A/HNPSwq4pu7RNz57sP5
+dqyIOixQe/oT9qsMVPFvqU/N6xd9F8nbNnKxgWwU7sOa39Qdn8VysK18bORv
+zXYVoRe6oeWm9u6GFcHCUg2fRrJTVX7Kval+RayHjcZyV132Vqj39hUxv8L3
+zb2L8PG73JFb04rwXynX8D3fOv2lzqvUuZnco3FZ35pqvFNF+Ky25rWt+2r5
+2Lki/n3xGjn5Rxb4t8bUa+uKOBtaLPSM/G5s5W8H8/X12U0u/12v1g3Mjbzm
+eT5qyhmpeSPr3sS6UJMdZIGzNna8ifWgLttb58bGaOBe5bqxlhjks6s5cT7O
+yXmbWRNqs8r6sRd5LVVf/Jhf7Xl2N97/AY0XzyA=
+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUm3c81e8bxq0iURKVlVk0lPqKjLqUFUpSpNKgtAihEmU0FCKjqbSUVMje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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for counter-propagating case.", \
+"MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->199787901],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "5."}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"5.", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".2", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwcmnk81N/3x2VLKIqECm1SVJaiRV5aEEWLVktJyZaUCpGihaKkUFGEVKhs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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdm0tq9NoZRe3YOC4SjB17AhlACHm1VWPIEAI3N73MJb2klzFkAGVQy+RP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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHncVlP3h+9zzpMhQwOVipQSmWellEQkiZAxJbMiRJIpRAPRIHPGyFyG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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJwUm3c4Vv8fxilKkrTsiIREyihF3QpFfEtaZJUoqdAwilKhrDSVlJJRNCUr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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
+}, Open ]]
+}, Open ]],
+
+Cell[CellGroupData[{
+
+Cell["Slow light", "Subsection"],
+
+Cell[BoxData[
+ RowBox[{
+ RowBox[{"params", "=",
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"\[Gamma]t", "\[Rule]",
+ RowBox[{"2", "\[Pi]", " ", "0.01", " ",
+ SuperscriptBox["10", "6"]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalGamma]", "3"], "\[Rule]",
+ RowBox[{"2", "\[Pi]", " ", "3.0", " ",
+ SuperscriptBox["10", "6"]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalGamma]", "4"], "\[Rule]",
+ RowBox[{"2", "\[Pi]", " ", "3.0", " ",
+ SuperscriptBox["10", "6"]}]}], ",",
+ RowBox[{
+ SubscriptBox["R",
+ RowBox[{"3", ",", "1"}]], "\[Rule]", ".5"}], ",",
+ RowBox[{
+ SubscriptBox["R",
+ RowBox[{"4", ",", "1"}]], " ", "\[Rule]", ".5"}], ",",
+ RowBox[{
+ SubscriptBox["R",
+ RowBox[{"3", ",", "2"}]], "\[Rule]", ".5"}], ",",
+ RowBox[{
+ SubscriptBox["R",
+ RowBox[{"4", ",", "2"}]], " ", "\[Rule]", ".5"}], ",",
+ RowBox[{"\[Delta]1", "\[Rule]", "0"}], ",",
+ RowBox[{"\[Delta]2", "\[Rule]", "0"}], ",",
+ RowBox[{"\[Delta]3", "\[Rule]", "0"}], ",",
+ RowBox[{"c", "\[Rule]",
+ RowBox[{"3.", " ",
+ SuperscriptBox["10", "8"]}]}], ",",
+ RowBox[{"\[Eta]", "\[Rule]",
+ RowBox[{"2", " ", "3.", " ",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{"794.7", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "9"}]]}], ")"}], "2"],
+ SuperscriptBox["10", "15"], " ", "6", " ", "2", " ", "\[Pi]", " ",
+ RowBox[{
+ SuperscriptBox["10", "6"], "/",
+ RowBox[{"(",
+ RowBox[{"8.", "\[Pi]"}], ")"}]}]}]}], ",",
+ RowBox[{"t0", "\[Rule]",
+ RowBox[{
+ RowBox[{"-", "1.4"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], ",",
+ RowBox[{"tp", "\[Rule]",
+ RowBox[{"0.1", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]0", "1"], "\[Rule]",
+ RowBox[{"2", " ", "1.9", " ",
+ SuperscriptBox["10", "7"]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]0", "2"], "\[Rule]",
+ RowBox[{"2", " ", "3.1", " ",
+ SuperscriptBox["10", "5"]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]0", "3"], "\[Rule]",
+ RowBox[{"1.9", " ",
+ SuperscriptBox["10", "7"]}]}], ",",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]0", "4"], "\[Rule]", "0"}], ",",
+ RowBox[{"h", "\[Rule]",
+ RowBox[{"1.5", " ",
+ RowBox[{
+ SuperscriptBox["10",
+ RowBox[{"-", "2"}]], "/", "n"}]}]}]}], "}"}]}], ";"}]], "Input"],
+
+Cell[BoxData[{
+ RowBox[{
+ RowBox[{"alleqs1", "=",
+ RowBox[{"Expand", "[",
+ RowBox[{"alleqs", "/.", "params"}], "]"}]}], ";"}], "\n",
+ RowBox[{
+ RowBox[{"sol", "=",
+ RowBox[{"NDSolve", "[",
+ RowBox[{"alleqs1", ",", "allvars", ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "1.4"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"1.4", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"],
+
+Cell[BoxData[{
+ RowBox[{
+ RowBox[{"TableForm", "[",
+ RowBox[{"allcountereqs1", "=",
+ RowBox[{"Expand", "[",
+ RowBox[{"allcountereqs", "/.", "params"}], "]"}]}], "]"}], ";"}], "\n",
+ RowBox[{
+ RowBox[{"countersol", "=",
+ RowBox[{"NDSolve", "[",
+ RowBox[{"allcountereqs1", ",", "allvars", ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", "1.4"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{"1.4", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}]}], ";"}]}], "Input"],
+
+Cell[TextData[{
+ "Time dependence before and after the cell. ",
+ " Black is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse before the medium, blue is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "2"], TraditionalForm]]],
+ " pulse after the medium, red is ",
+ Cell[BoxData[
+ FormBox[
+ SubscriptBox["\[CapitalOmega]", "4"], TraditionalForm]]],
+ " pulse after the medium. Solid lines are co-propagating, dashed lines are \
+fields 1 and 2 forward propagating, fields 3 and 4 backward propagating. "
+}], "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->111628146],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"Plot", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{"Join", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], ",",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "n"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "n"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "0"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "0"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}]}], "]"}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", ".5"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".5", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}], ",",
+ RowBox[{"PlotStyle", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"Black", ",", "Blue", ",", "Red", ",",
+ RowBox[{"Directive", "[",
+ RowBox[{"Blue", ",", "Dashed"}], "]"}], ",",
+ RowBox[{"Directive", "[",
+ RowBox[{"Red", ",", "Dashed"}], "]"}]}], "}"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{
+ "\"\<Time (\[Mu]s)\>\"", ",",
+ "\"\<Intensity (\!\(\*SubsuperscriptBox[\(\[CapitalOmega]\), \(R\), \(2\
+\)]\))\>\""}], "}"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {},
+ {GrayLevel[0], LineBox[CompressedData["
+1:eJwUl3c4lu8bxiWRVXZCspKIKJWRZyFSZL6ZUUZo2DPZe+/54g0hI4UU5WqQ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+ "]]},
+ {RGBColor[0, 0, 1], LineBox[CompressedData["
+1:eJwUV3c81t8XtyKzjIaRXURClHi4nxEZFVKEFIlSyM5I9t57PmayoyTKNwel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+ "]]},
+ {RGBColor[1, 0, 0], LineBox[CompressedData["
+1:eJwUVnc4l+8blZlZZlaykojMZHze8YmI7BkKGREyssnee++VvZIkidwRyd5F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+ "]]},
+ {RGBColor[0, 0, 1], Dashing[{Small, Small}], LineBox[CompressedData["
+1:eJwUl3c8l18bxyXZikSFRGSmSGWfe9iUWRIhGUn87FWy9/a1+RqZkSYJ5YpC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+ "]]},
+ {RGBColor[1, 0, 0], Dashing[{Small, Small}], LineBox[CompressedData["
+1:eJwUV3c4l+8XlmSForK/tuwyiqTP846IVMieyQiF7JnsvfdeWRGl7IYTkp1d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+ "]]}},
+ AspectRatio->NCache[GoldenRatio^(-1), 0.6180339887498948],
+ Axes->True,
+ AxesOrigin->{0, 0},
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"Time (\[Mu]s)\"", TraditionalForm],
+ FormBox[
+ "\"Intensity (\\!\\(\\*SubsuperscriptBox[\\(\[CapitalOmega]\\), \\(R\\), \
+\\(2\\)]\\))\"", TraditionalForm]},
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for co-propagating case.", "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->131368739],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", ".5"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".5", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".02", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"sol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", ".5"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".5", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".02", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdmjGoLEkVhp9iomJmLBi5RgaaSofGq6nRghoqGLliYGBsYqKGO6Yb6CB7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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHf8V2P7wD/nnE9DqaRdSDIqMkNmZITsEBHKLlKkSEayIqth7x2ZFUmI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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJy8vHk4VV3YwC1kSIMhU4ZkiAYNiiK5RaZKxqIiJZQyRFJJVDJWKBIiIlI6
+5jllzpjhHPN8jtk5xsyhb+1zvH98Xdf7z3e93/PXcz2/az/LPmvd92/f99pr
+PzvM7fUt6eno6PYz0tExoH86E5mHDMrxYEp/mlXQAgd5z1TtpyZ74f8rv/oP
+d13j+Wu8YI3vI9H49Y00ruhJ401TNM45uMYDafy0ECuVP99jQuXp5iep/ORe
+QSo/qma5AeMp5XpUrq0iPoxx4y8/+DBOucp2G+OLX0/PYLxr4VcRxm8Ih9zH
++NZPjHaGiI9KTV8WQ9zgqmgtxu1n7zwwRtzGBffhEuJb1dviZrBxVEuT7yJu
+IIyfn7LEwYf3ydKsU70gpDUXLVWBByW+K0yJ9jjY5tA96YX4fHiibGU1Hjh4
+P9hvj8GBAvsXf66ZXujb18KZ1YGHn0d9Z2Pdk4AUQGk4+bcXtksaNRbwEIAz
+SHXSpj0Fkp15xoqliJBacJ3zby0BlH7N6rd1ZELyMkuA8hciNG2hFJulNkFF
+4q8os4dFcNfHKkNthQT74/aodP1qg7asfZmm5XWwfGrl0GLvANxc7V+48A79
+DgeH0bKyTuh4NWrLy0MGYTjx5MBCP4iwOY20vBmABDKPXdqeMWh3Ih07azMC
+X3vWh4c4kKHnY2VcXxUFrkgaRaXXUMBZhXS15RUFZD6MrsRqkOHF3P0dQsLj
+8CYMv3SJfgwy4zZPu6SMAuHc+P5ZdD3zAh+Moev7Ltm/90LXl9fzH32Gxhc2
+TwtPQOP7ths5V6PxJ+f+Xr2H7ifmAX21VsgAOHV+Y8tA90M8k6xghe7fKOKP
+7yS6f7mKuwlS6P6drzmvcNe2wY/fxiuiFXWg6y7ItYM4AGOzQxy30Py03lud
+9kLzM+vP9EkbzY+niX8ASx0BIkye6gl0ZsL1lycVNNB8FnjJRxah+f/m1nHh
+AZr/j60H9pWi+de9J3g3G63XRwVz2Wy0XqGFw1VqaL3KW6tDsfXd4OuEF0fr
++6TQsBFb32D/3ylYPAS1VPRj8WCmKLCMxUOv/vYULH6kc0uXsfj5GTlBjZ9v
+oU+p8VbA8yAGi7ecgD5qvEnfZqbGJ9MwnxkWn27nxanxOZdMi+frorXUeH4i
+Qovn6xq0+NedosX/E0ta/E8cpOWLYDAtX3DVtHxJXMuvvAO0/Jpbyy/CWj6O
+DdDyUT7w/52/V9fy99ha/rqv5XvbWr4X/uOHy/+LN/43/n/lpf9rj/1Y49Jr
+82D4zzxkrM2bfj+NS6zNW/022jyzstLmeeYKbZ6N6WnrIrZqTl0XhS+0dbEe
+3EFdR5P2SOo6Ps5lpa5jbMY+6rpX0x0rxPiO4ifUdecxaLLB4uTwqPNZLE5S
+ZLR/YZxET7TD4opZPXQzFlePft18j8VVrZuxGRaHu/2kw8ZQHEbr7Z5lQXE4
+93jw7U4Ut6r4R1n+KG7vnfn81BNx/b/TS99RnOdr5ih6fMCBdY7GFzYU5zt3
+pBs9QXmRbPnJ5adrElD4Q4q3o7z4/OfSkTFuAkDDslhGYwq8pU8c2ofyyD/M
+DXe4hgBHQrjLbldkQpJQ+INTCUTY1RXvZvS5CSwXuTY4mBVBhv+sb/Q8CdJ8
+ziVq57WBBt6a0dijDppmhBvkCQNQ6Onx5oR3LxgMiXr0u3dCjc6ry62Lo2DM
+sFkjr7sfXp/bNzFuMwBPy2KbhJA3mMPM5DxPj8BPucTCT1ZkcOTPzgpqo8A3
+80H1A/HIY7kJL/8+o8Bg5MmFfmMyVLUMPdy3NAb7K4YeXJmjgMkZ4/GgwlFQ
+rjMKOZVBAbZWklu6LwUCrAgvg/TJoFbjN3T52giw9L5pfmdHBl3BJ5f7aykg
+mjwcILjSD/XHdz8ojBwAO90ayTp0P2//MIvyfO2FVwUfR+b/dsL8EPFcpDT6
+7xrB9M1kG9CZBXdvFKkHK0WrDrPFAXhuxV90qqoJOoX7dZnwReDS93SsYnMf
+3O0ibGjrJEBxt4vqfsUscHp/KGM5nQhDam+62gQJMKgr97OTMRXeeDZ83yhN
+BGn1LZHELjwo+oraESKTwEvxqko1HRH6/J1GbWrwYNXJH8iYiIOkTWERXmh9
+OxW9V8+heGCOOrJJ1BEHu0+tI8SjeDh/oTLRE8VPw6qUTr0VDoRyw6y3Io57
+Oyt1FfHXFqcdG1G8nbd8WbiE4k1kGmwvIb4vKSXtGeLabcy5c4jjog64YDze
+PdnKE/EIFpFijB/qIqubIH7s9j2vQCxfDjHozyNuY3KDHuO6pXd+vUD83YnO
+HRivumBofBHxmYWy+LuIb3G7MTeLOOu53mUjxG05mzsNEed8cvosFv+czMq9
+5xBX3FTvegTxSL3z+GnEU8Q/PsfySOHM3yVxxDeLzZCwPJIcbVvB8u5+SY66
+EOL3TLTdMU5+SaHmby4+mxvLx6Bj/dT8rfm9uIDx3toReuz6PI3eh1Q/ay0y
+YuOHB1V/xnh069ln/3947Mr/4rFv/3hs75rHlNY8prDmsVdrHrMl0fjGNY8J
+89E85td3icq3mNE8VtgoQHteeFyhemyfH81jsYbbqR5rFHShekyOzEz1mPa2
+LVSPPbH2+IFxqRe3qB771O97C5uf6SInRcxjeaoWNRhfYTl7DfOYTGGY7UXE
+jS00Q7B1LLgiwYx5bNvHc7XDyGPOLtLZmMeWnfZfEkdxK7ZZONQeeYyQsXPS
+A3GZAot3qchjiTbeIi3ROGjJ51mgR3EuvOEalwby2Isp0b/vHiTB9gqlurnV
+XhjrH/7OgDyWoaNqbFKbAgN3OBv8JInwvnqyjL+SAH+6m9Va0zLh8nRVrUA8
+ETqDLr83jW6CDQ+dTyooF8F6J/VXelMkUPbHC5z72AamTWZNk3J1cGXL1oaK
+kgEIIx8wf3G7F1qkVY3GDnRCxvrHcmNto6C7idv9R1E/BNYLWJsqoXpsd1ay
+0+4xaLZNke2SGAGRFX8O/otkYL6ww9ZxlALXnDdX3nlAgZ8inXe2OlOAJ3L1
+64QNGeTzLr5oqBsD47m4JRimAD1n2x1/wihIC949ExRCgcLSoS9V7hTYK1QT
+0WdGBiKeTQ5vNAJ/b23rLLpJhk43znn2Rgp0Mq5eNaQfAMvTEyWi8QPAlPD5
+3RjymEth/OvSwl64NOUo1KfRBfviknWST5FB/2nKm4dC7TC5fkZO2K4eknij
+hMb5BsFk/QOLp5QmYJE/+I5BqxjMWvhON+3sg20rmjHHpwjwJf7QFsaqLFAz
+vVSlV0yE6giZKzk7CeAYf/jOY61U2NV0zGr5EBEqv/2qbySiOHce5ClrTIKA
+M8ZTrxiIMJXjnFH8Cw9pLherQ74jL8UIEZxne+HvaJD5dxQPTdG+hwrv4UBf
+mPnRBIqHm/cy/saj+BmJ+dkfdQMH33goTXsQnzWRkXNAPOuRSG46VueffMXC
+hPjYYuEDa8TbOx8KaSL+629KKB3ilwovuNggzvLZr9cB8Q2+3Rn0iL84nv/2
+NtaPKM4IJiL+Y0EmbD3iPgPrqjGesU58EIc4G/7Yd4zLiuv8vIV4yteDfDcQ
+V3l9Tg4b5zyLBO4a4u6b6hznUfzHkE55LqP4tx0v7cT8Gew6XOSHOMeVG8yY
+D0PS5yPPI+4cVlh9AnHnA1+NfiM+IPb4NJZfeSl1bjsQD1juycTyq7wtjozl
+Y9z6Z1pYPu46+tSRmr8aH1Wx6zlZ3Tmw63HMF1OoPmyWeIFxLR02egnELbV0
++v4Ljz36x2P/01fuWfOY1JrH5Nc8dmvNYya9ND4VQOP7uWkey8yjeeyvCc1j
+LLE0j2nXm1I9dvw6zWPmXoJUj23kMaB67Ob0eqrH0p5TfmM8MS8mH+OJKgZU
+jw2PC9/E5ufPhnwpzGNSey2rMR7d/e485jHP+3TfLyAO4iYvMY+pzR+Nd0J8
+ZUHcrw+tO9fmLXcwj+298LJ/B4pb3uOChtrIYx3uE4efIl424/U7FnnsZVmI
+ND/ymJSqlNni7164t00qnAl5bPwtyz4B5yTIOCnjXok81s1bGU23lQB+cpkK
++uUpsG/CKbNxJxHU9Ks8PpYR4ORBSbPq8Ey4+ss/FhdLhED+XxqGIU0Q1XzC
+3UCoCLiVNepUR0mw8/YGnvjnbcAlHp28jVgLymVV3+3TkJ823tfqP98LGx0c
+N2a2dMDeFKvZzsxRMPxB6C2N7oeKF8e3mrMOwI3PhkoZu1Bf2HClN35pGK5Y
+n+BKOU2G3wX3jGpXUN83hVt+rkaBWYKtQZkFBUQC50IPPCND4JKcGiVyDMKY
+b9hFtFDAMTuie3hkFLok+1gKHSlwKTLmdOsdCgx1RRhO2pMhWYXvPKfWCLDH
+lmU0W5Ih+GH+y6/tFBi/xOmUxjwABenZHsVJA2B8qGh8494xCF4dTvVu64Vw
+1WtSfyO74NvVtqxHtmSY+7ThxOy5dmgqvyejW18PttGswlHKg3Bs1swhi78Z
+NJudpg8PFkPD+9vK4ep9sJtMkK7f1AjrmCVF8wOzgW7e19uqmQhXKq/ahMsS
+oLPYmYkhNRX877GIOyoRYauKDdulYZSPvR0ZnvuTQZiLu0aShQiCNQE/Zevx
+cPAawOceHMgKXvTdP98LmyfsT/lXojrnWA3bNg8cxHUe03k63QuVMYxkMtZ/
+bbJ7cdkGB0yDBDUTzGNcUab+iFe571bWuo4Dz8pJz22IZ9S54B8hLnePSfQa
+qt94NG8PbEb8s75y6BPMJ4GF794inmt58AUH4hJpYn0+iN+b72JbQfzjjMpX
+HsQF7dSu+CFed/ZCEQcaf3x5ew4v4tpsu9yeIs4jWMj/EV3/9dlPaU7Es/Pk
+/95B3EtU6V47ivNY1tQVZsTtL9b2WiD+8qrhbhbEO3d7mq6gvPjNt8iA1XWq
+965xOGB5vX37N6yui/0V0oHlV7zyFoNdiM/riQtg9Vu88LFJLB/d1530xfJR
+uDbvLpZ3nPdY6rDrJQxufJRCfAj0OLHrp4QH47E6sJ+bw+ww4s9ymL9M/4ce
+y/vHY1JrHtu85rEjax5TXfOYYDeNN655bImD5jE+f5rHvl+keeyTDc1jKx0X
+qR5jOkHzGIsTP9Vj602kqB4rrmSgemzg80+qx5qqg/Iw/jvmKNVjKe6BN7B5
+kyFxc2Ee27BTuwrj7InxmpjH1te3LRkjntrxwgPzmKT6o2OYx/7+evy9C62j
+J45NCvPY/eG6vduRx/AeLl6SyGN79eZOP0Z8dV1mezDy2OPSgH0aUTiYbSAX
+jyOPEZaiJQvaUXwez7sk75gEjOO3NN8ijzHsDcno5STAuS/8he4FKeBVHnBx
+A/KYONdKWmURAUYLxyWW3TPBMkWGbyGaCE6ut97wP2+CFIfMdvW5Qvj8XcfB
+jEQCJYp49bB9G3wdJcl/fFwLZEp/7+T7AQhSpZCG5HthwVp9aNixA75sEUwR
+fjkKfMeOmag97AfnjJ0Gor/6QWje7nqb1BhkLc0ECFQOQ/+KuPfuY2T4E/fI
+iW7rGBT+unHWkpUCLinp6lm6FAhuNTgoFkUGK9eTUQrXxoDDV6qctZQCDDGZ
+xocZUb3k5m4dpIH8J6Lv52hJAXMnlQENDzL8mFy/TUpuBPpOSP/2RvXZgGlT
+t0QfBaa+qHHGbxyAYD1d+eysAWC/F9K4C3msQu5zgtkcqpfzvULP0HdDTm11
+KUsIquNu3/6t9q4dMnsr7Zo0G8BfvVD9vMMgPLOteN1r0AxHD6uW308pgcaL
+bAcf2veB3qHuok+HG2F+ZRul930OvHrL+CdtiginldvKVU4TwHRXw5tYjTSQ
+uDlZ9kWbCPeX3j9JnsbDl1+BP2QLkuGwrNrFm1uIcFxar8OtEQ8b+FfvqQkk
+QQFvZJDMUi/cIGQriKF19/qljdsWhoPApqCh92jde/QMDB+gOFki/vLf5IQD
+k7uuCQWYr1yr3pZicRg86nfsJg7cgx/EKCNOvhDqGob1L1uEpvqQfxib8OdF
+EVdmVs94g/iju6MGyYj3jagnbUc8TPU2fQTivBypLMyo3jsalycojnj8V9ud
+7xGXfydeJ474dHpnpATiBHv5E9g4L2LDuD6jcWr1b5li4yTk7KjF/KZfIuaY
+gPx2aHzJEvPbAO+RSVvErylNHvBC8f+UPfobA+JXjb80miIeUrteLB7li4bg
+S+sFlC/rT78JxfyjTJ54ewjxkA0LUZh/0pPMp6l9lqTiJywfVx2V7mF5x7Rj
+8SF2/dLCIqsM4iV+nc+x61uHeo5gfa6mUJDUKcSJ7C0lv/9Dj+X+4zHJNY/N
+sNG43JrHuNc8FtdB45lrHnPeTPOYvCnNY+rGNI8xH6R57O17I6rHhHlpHqve
+ykP1mLPTIi+1D721juqxCOZIqsfqvurmYPzQFQGqx1w2t1thHls6qvpHFPH8
+dfyVGJczVJPHPCa1eVQc81jsp+/3qfuuYhll2HPqu8d2oxa0jrn5qk3Yc2ol
+qnCPIIpPhVN/8lfscMDqdne/G+ICb0JEn6F4do6pfn/5PQ7Ws9XR96F4nuG+
+3GmPPDbbqWIxapsEwWf6Xpohjwl9cLoSzUEAQZPffdVZKXC7WkZ+lwQR6COC
+4ly/E+Dnq+qbnOaZkHjllup0JBG4OKTVvd2a4K0XUSegqhBEnmYH+7aRgIQX
+tcrTbYPOrzOlsltrYfRIcCmT7wB46O8r38WPnv+Tx+5uXNcBSSq97/nMRiH9
+5UetT7r90F+U1ZPg0w/LP7en9EqOARv3azmTwGG4pqXBpiRFBvN75ak20mNw
+vunt1soS5KHnCRnu8hTo5tKO1f9BhkzZ+2OnhcfA/IIR1yYcBWKOl2zkESMD
+/tzPxEguCqQlvisRNqTAl9JT7AHhZJC99efHqNAIbFVj/+BohOoxN8WudeMU
+KLAdGXVgH4AfxR2Z9fkD4LL39DIgj7GcffVmLy8RJkUlXpk4dYMee8VnsVIy
+iPHejS4Yb4fqDFHvxbYG+JJdL7Du6yDkun+QuRjZDEofNrstJZfCRsJClXBs
+Hwg+kT56/0YjeD3ecVCJOQ+gWdZciIcExpzxoVI3CRBxB5/tLZwOTp/6eq5e
+IwJx0Gs8lZ4A2cL+vL/PpoB3Vkfpl21E+OG2nrUB1dVWmSUr256gdbRoKzX6
+i+qQsgf3RWpR3XX+7JbkYhxYcF/LzUH95snWTZvfojqtvUNiJgjVaVrAed8H
+1WnJF3oV96L4sd7YK9+FnoOcHw67+KL4OUE4yVCE4m3+4/EfrMhvXyzOCSsh
+/r3l5K04bJ8tT5Tsi7z0dXdS7m7EGSiCCjGIt6REPzNFXKjf7KEU4o8a8mo+
+YP0jZXuQEeIcOe77MK64w9QP82TPrpiUfuSxS9yPr2CejPf5VuqNOJ3m6sMx
+5LHunwskbsRPex7Y7Ih4kfHLuwUo/meCL0dj/e+OeRGGK1iePpd6WIrypfcF
+2/QiypeuWP9tWL9Z09T+SQFxlkHdP5iXeA7sou7zPFAeL8Dy0Yz4iJqPTPaq
+PNj1gxt32GDXm5ueWcCuVzDtqsLyUYR72+YriK9rYu+Z+Q89lvOPx8TXPNa0
+5jHZNY/1TdL4RCuNv1rzWNgGmseeStI8FnCO5jGniW1UbrfZkOox5hFd2j7b
+ZU6qx/7gy6geU6xbpXKcpD3VY2GB+EyMO4j+ofo/xXbOAvPYB5blXsxjUQJl
+5dS6jllLCpu3o8S4o0aIu0T9ssHm7QGzkyrmMTN9E9V6tI5zErkPMI/FvmJv
+5UNxePeauHMd8tiAOqn1IeJirRUhDshj3jXv4kwiUb//iW6pCXkswMovnxd5
+7E1+SqiIdRLY9oS/34E85j1fFXaMnQDh8el+23ApoHXxuMs+cSIUvtq7KzmH
+gJ4Do7cTlTOhjnVq9+twIjTTn/vqeLsJRBNnnULDCgF/v0zhYx0Jcg8IMOGk
+28AgBHdEL/wX0Ce+3G9xewAWLX9aXB3uAY75AEaXx+1wRrtWW2TPKCQcFqg8
+IdIPnKWHLQYV+oFppFXp584xmEg4PpR9Zhj8GWoL30+MwmH+WzU7YAzuf5O2
+uHyHDDYdo2+ThCkg8LXc6QKJDIf97Bg8flHg9aMkP8HXFDBhzdyqoUGGvCvN
+ZQpNZChOkxjQBVSXMdExPM0ig7zDntql1WEoKTjmt0ObDBqngla6/lBgdP7k
+OjHOASjS/hrgUzAApzqqO7SQx3z9uI58OEaE2rOhN0V/d4NV3Jbaq/NkqDmi
+NZqq1wHftq5uZvTCQzYHPH4+NQiWHItexIVmOOC2le7keBnUtKcEOfb1QRO9
+9LW0r43wSmJ1uYj4DQZCJarY1Ulgr032T3pDgB+a5nuOaWeAXdp0wMITIqx7
+lf1ASoAAB80zg3kWU2Ah3m1n5x4ihOza48+L+k1eJ6ap9j3JMHLN0XSBmQiR
+UTufxRDwUHHD9NWZLUlwFM+e83axF17yf5epRvGQJJXCdywGB+euOMxsnUHP
+UyH2r7MofuxzdknUueBATGX3Rl7kNwYl7/C/KN4+i8ma3bbFAd1inMBNFFcl
+B1/ZpGDxb6j9V9QaB1MMmXdlsD5xKvFsKOIdW274EpCXkkejn+5A/NknU61A
+xMtfKS9cQ9zp4PMeAcRrtKzKsT60w4ve7w/yFRtDaSjWh5oIaMi7Iu5jxzt4
+BvH8ntayTdj7LLh2GNuXc7l7mcsOxX9Ta5oHtp9mYkEcx+oxZovEgE8oX0wy
+Fh9i9ZjOIEMCVl/9Phpqh/WDKa/qqf3gBEMlA5Z387KqYdi+vSbdAw8s76Yl
+yjwwj23wvGCmjHhHoYoaVndd2JpddgHx5IMWybaIK2WbBsz+h/v8Wf94bMea
+xzLWPHZozWNf1zw200Tjt9Y8ZsxE85gu5SLNb/o0j4l9onnMR0SX6jHZLJrH
+htQ2Uz2m0fqC6jH58T9Ubu+qSPVYailHOsYFvVqoHrtS1mOOzednlokSzGMG
+xto/qfPJ84gb81hN6IFD5xHf9uOtGeaxjAjJdOx59GPjQZsKtI67WHW2Yh47
+ceqCJDeKw6iA0zsikMd2PhhTfoD4mwdLyyYobmOb63iVInDwae8z93LkMTa/
+gZTMNjxUDSTW1FxLAvEunazOFVRvtx4axW0mgD4bd+KZmBSQ31ezxCNGBLcL
+izF66QSIy85PuSiQCTlse1tqQojgx9rGi7vSBKY2hycKzAthONcpyL+UBFNs
+8hu0mNpgkmT76jzHL1A8Y7o503AAmIjfzKaDe0BUw+7OjYk2SOJZnXWdHIFw
+tzbTyyN9cHvHz8RMUh+Y/wgf9ZQYg+05jWX7loaAXyBGmP7WKOBrXgkrHx+D
+nwLE98k8ZDBMWTH++ZcMcwxHmHvYKGB61L9BwJ4CoaMCth8cKXD27PW5Vw5k
+GAw66PTGjwwXr2o52uykgMPJ/QvTLWTQK97MWtgyDIHfZJ9vVCbDceUH4g6b
+xuB0H67HG9VjOSLdy79RPebGaueqjDxW33W/8iCqj0q1LgrnuPbA3bLR/NV9
+FJA6PrdOu6wDvEX8xtfrEAA/z6xUrTIEBSKhn19btwCjememhHM56AQd2xQv
+0w8benJY3q9vgtP+/foHz/yArI85egHPSPBFCT9igifAb/FCE9XfmdAULaD2
+/isR8s7Fft+kTIDZ1x8+pi6mwkfmkqtVaug54qe6qLaMB1nNPjct0RQY9yu7
+IsmDOI+HyOMuPOQbB97wDk0Cj80JP7zoiECOjDq3vh4PBzgP3GbuwoFhesuj
+TfMoTiraddyq8FCWl5IuHojiMDn7724UJ3/2ldjaoriqXgpbf+MODu7cMDyd
+jeKKTnebRR62f1tYGINDHuNY+e0sjzhlY3Eltm+WvdX8TDjyj0r0chK2b9bd
+c7jEHvGLT7MCo7B+cKiRAdvnv5SrGXQDcWFC8ttjmJfosuf+ojhvWtTchO3z
+263uLxlH8e/EPLUV2+d/n5LVj733vPTHkD8McRnBkUJsn19MO/QE1ve5n6lI
+xvq+wonEKsw/M+YXpbH8Klp07tiO+Jnu5Gjq+z7vBep5kgu2MjbYfo5y+S/q
+eZLbJy4tYB7by70xUx1xoRGZt9g4FI7UBsxjRh/+nLPD9v+9Kt7+lx7L/Mdj
+29c8FrjmsYNrHrNf89hnPI0rr3ns4zqax0a/0DymqkPzmKwRzWO4itO0esyN
+5jGhH6xUj2UStKkeEyhYoPKj1oxUjy2VrU/B+HahFKrHwj8GXMHmsza6OBbz
+2MwBXCnGZxM/0WEeE4iw5DiHuLbJb13MYwNhXFyYx7q/eudidXVW+69YrK42
+4tfczIHi7cfjSZFryGPc7R/MnLFzQabL3OrIY8yhXl5/w3HQEDhllY3iM2Tb
+wxeayGPzYotx3aZJcOOz27pA5LH1xeG+0xtR/+KZxXAiJAUEbgZd7tlBBLym
+2l0DHAF2P+YM/zqVAaUdAeEhr4kQnHN553qdJrAWM2K4KFEIX0LfjkjkoHzM
+2lfC3t4K51aIRYH3akCbv4ftg+wAkBSHGGfkesAxKsFj6TTyWMWzZNukESjs
+3ekMiX3wrDFBZNCtDz6c5LgqID4GrvnpZw5GDEGCCgvzKmEE8tb7vhU4Nga6
+llWHjn4dhWairoVaJxl+llyxe3WMAm4Oc6EK6yjwySJi64o2BWKNNjdWx5Bh
+37WtpukHyVCbqxVYwUIB40ucFaXIf/FqMhm28cPgaPD5b9h+Mqzc1MzzFRuD
+hfIE/t0bkMfK9lrmpg1Au9emcwLIY6wCbwT+viDC6Qq+0g3MvaC+R/x7oTUF
+FjZw3HQ81QmrFV/AW64RSAME/OXoIdCNFtGomm6BDk2tN7oGleD2NUmAJ6gf
+tLZHWF653wQuTGbfd2cWAuvA++9yTSTI4qffxrGzEQ4LbE69KZ8DnJYp8o5D
+RHg/Kf6515kA18S9zVec04GJzkBN34YIYjETdzMFCRCYUB/cw5AKb+16JH/v
+JcJLVzOO6HE8BMvc1//mlQyTNqyEgI1EcHp+16WrBQ/3+b5Zip9KAiHjzc2B
+y72oDl2avfMLD6f1N7ro5OJAXM7zIaA+VGp1/qEi6kONRWx2JLgh/+TE1Wui
+Oi30UsLfaux5yivsH4P6zbSJ4WY1FG9mLx8/w7wkE85ZpYDiM9TRgIJ5aROn
+dThWF7VGX0zF9qm6a5Q/YHXRpkbaPkxzKwN1P/nhFG0fxjBCSgbLCy4ZHWER
+bF/rIftHjGtebHTCuF5BynfMP+PdZDzG+aRutGPc0TVSBdvPn4jU2Uatu6z8
+o6n7XTdbmLB6rOfl6ziM739VRcB85XXDLuck4l3Cjx9hvrLp0juA5d1HqRsJ
+WB/0/sAdRyzv/oRyyGMeu5Ozns0KcffkZ3v/S4+l/3PuQvB/zsGueWz/msek
+1zy2vo7GOdY85rDMQjsHa07z2LvTNI9lrfJTefWiOtVjTUDzWFwuI3VdFlhY
+qB4zOzpLO++n8ZO6r3jWL+4rxn0cn1E9Nnfsryk2/148fI8xjyl29hRT98co
+z0ew50vgo7k6A8QrMjOVsfkUOnXjKvZ+/IngPs4sbH8sY2In5rHDabxPNiKP
+7Uo3bhBDHrsWk7v3DuIgEBy9F3nsWYu9VWQYDt7QOzyNQx4Lv7y0ra4VD7tf
+L11TM0qCTMN7nxSQx/6cCopgZCNAMENyTZNPCjRPJR17JkIEiUNiQ7HxBMhS
+sunZW5IB3RZ2GX0viZDaKB+rdawJOt1Iu+4VFcAjWYEEjS8kCNfQUvZJaAWb
+heJK3epqyKfUbWxAfdqOWNPzF391w4ALt9Ll4FbI3Ga7Q85iBEgmEw+kLfvg
+dFL9T93NfRDuWu74VHQMtEs+/ww5OARXdccLMqVGQCo39w7u6Bgoo6rUXWYU
+lnyCjyalk0G9oVWNH9VffELKfRueksHNZkwzSIwCb4bfvPjZQYaIhBM+gRWj
+4K2utD93gAyu45zh3aiOOv3piDen9TD0SC5yiguQQe2vkjcT6lv1ZJuI2iv9
+0DzzNHvL+wFYvvBBo37PGKyK7+csyCaC6jq8iZkeipuad79a4ijQb+fAZkvs
+BK7B3BMbjjeBaqB+v8uGYSDwleuR3raCM70br82rasCLqeYIMQ8A/q+NeeuG
+ZijN2+HzJK0YAviv6Eoq9sG33U6JLKGNwNy3x3aj/jdg3NIj/PwICfTrVh53
+/STAhb9u+8/EZoJkyrUI349EqNv7d8QV1X8x9xzyWS3TwP8g/mysLnq+SH/S
+vIDWUcSWPUX0eQrUfOn4XoDWcam7lWNwAA8qwgqlxpuSIbX1eIEtE+qTZTyn
+N6A+tPPJyEl25iQ4dqfnoDTqQ6X9FVUaUJ02V+njEh+M+oJ859OWKH7OEWI8
+51AcSpoYbpy2wcFr/5TcayjepEDrFxa3DDpd6voobiO2te3F4pb9k3EVVl8d
+yPvLsoj4ucb6MKy+erXVrdgd8emsh9xuqH7L/LhBhR2NM8V1thLbH0sxCf2G
+7Y8FOu4fxPbHauM0Qx4j7qR5760v4pbr+5ux68sFll2x918T5T5niNh5jzdc
+57H3Xxs5ep5h50ZSPUVysHMjIypPorFzI8Zd5zyw83KP5a0vtWFequOg+4Pu
+hzjmpoTVewfxJzmw828XtHjPYPVeubT/OOa33ZkvV68ivqKxc+G/3B9L+8dj
+/GseO7bmsb3/sz82QeOrVTTe7U/jSXM0j9lw0jwWoEHzWF4EzWO/4k9QPbaw
+pEPl6/b8pXKt/DwejHvpTlH5rOMTqsc2CA0nYPwppyHVY+2tkpcwj3XBa2PM
+Y0JxvYUYr3Idr8Pi4en7z7eweLjFlbmPen7M2zICO4dTnlFlip3PaYl+EIHV
+53J9nk7MyGO3z4y86bJFPtx/Otoe8ZzrPGbsyGOXh/JNt4bioIglMf4V1i+c
+wClqIo89LE+0mNJJgkMM67s70HM5KC4xsYeFAE6dtrPkBylwqMHNjn47ET54
+fm45FIXywnlV0zEgA3iUO55+9iFCfnZC41mJJtjEbLw3TKoAKr4OczWFk6A3
+0Pm2qkMr/Dza3ynMVg1P75KEFsn9ENJwbQmMuoFRy7yDsbwFBAt4BGQ5RoDQ
+HZP7kqcPtERKtq4EkODQwEpotsgYtG62FL+eOwj1sDs3/PowjNbcZZuUHQN7
+2d32WgkjIO/fufOtJxk2lPL5MKZQ4HXCJ4W5iVHYGTfo1jlNhiq55SNHhShg
+0+76WF97FKZZOHij88nw5mb28lYrCgQKje835R6GXDLdpaSQUZAjzBR0o741
+N9F7YmWoHxiyrL0bHg4AbvTzoAHymNa73hvxRCI48KadPRaO1tWF58qPXgrc
+9pR48ty3C0qyuj0uXm2GWEN8WczjYTBfLAvNuNQGgrlBwuYKtaCpQv71PXAA
+ZHAaFdIlzWB0cbD02aEy8GB79izjex/k8YV5hR9oghsNe5Ok7hVAnYyMRVkM
+CXy4q7wmjzaC1eHjXV/zc+BG355fmTNE2EX/IDo8ggDSdu9LzB5lwFefiJUm
+LyLkGF+UKZIngIGHujfpVyrMWX7mMD1BhAgel1GGVTzw6cwtW+1LARXJ+1VX
+eIng7xYWpI76UP0fQv1Wb5LgDavcmcuoD922ZHNoDNVpLzLnhwYKcHC8Yy4l
+GNVp3/UfZZuheBvvPnnqsyOqB8hqCTgUbw/72WexOKdX8Kyh5kuuyAMsnv9c
+aDHB+tA9Qz+OY31o8aM2B6wP5RFcJh5E41j95S/Ycxv1QdUtDi8RT3SQ2WCE
+9bO3HEMPoPGFhUUCPiEetOLXKYt4X/9W3mvoej1IOx6IeEzF+PQsVu+1ZnKN
+Iq/2/3yjj3lVUHjyTRbiW+rVM+6jv2tbdKZKDvHhPJ1uL8SjrHrmerHzId7M
+JzBPBhGuO2HeuynLS9DAzjUVjAdj3vPyLIjFznUkvm8qeIB+l9ZP6z1z/2E9
+lvKPx3jWPLZhzWO71zwWuOYx7580/nHNY7qTNI+15l6gch5VmsduHKB5bGvp
+MarHWpJoHjNlWqRyUS1LqsdU/lKo/KaJLNVj0d/LPmK8MlSY6rHMEgZjzGMz
+IcS9mMdWvBJ/YHybR2Q65jER30rUOSHv3ardhnksrymsGNtn6BrX8sH2Gbom
+r1P3GRp/uPasw+KK4cRkAPJYb/3v9FuIPzixIDKFnqf0Qocrr4bgIKf2SepD
+5LHszhDudNRfpMRuymjWSALR0Ocb7iCP1eo2Wz9mIoDi8FcfG+sUSArijzMS
+IsJigbTPQggBMhq3C8qczwA8w8f7vU+JMB61zDG/sQm2agaUn3b/AeccKwxz
+fUmg2C6Qu3yoFWZvV02wyFXB5ZBlg+HCfohOtWTkb+yCGAng+ENqhv1ptmos
+mcNQGnb5JFMBCSJujnpfZCBB6GrtzxzhMUhWG4ziPjQIoJ1eUhUwBAw8+3f1
+yowBYxxdT+fGEcg9P5xbrEcG+jdpZXGzFLj4XbljUWsUXH9M33r6jQw8Ig9K
+gq9TwJQ76sS7HyOgJrkrgOUlGXwVgn8wxlOg2eyMJ13KEJytDeLA/x4Bbcvj
+hwJQ33pja7nd3op+kFo/sJCqOQBtMjdlw3ePgU8WL6sJCwk9Pxzv+3b1wtKt
+mJeSvKg+vMskGKXcDe+DnaO+RrXArruSDdrrRqCid/FHPbRD/nr1g/Wf62G6
+e1lhy8FBIHKd6R6ObwFbRe3HDqcrwILMmFdk2g8eJXnSZgtNIHjmybCqYzHc
+neML3rO/DxzJn8t5WxqB4aWB83uW78BeNvGl8xoJ1mnYsX7a1Ah7pKRXIwOy
+gfRMJVKrmQibb03TJz0hQF2sq7RwcTr07q+vHLlDhLKpTPwnCQLs23m4m08l
+FZYZ01oVDxEhQXHDlNoEHpraVMJ+BCRD0eNpK8ZNRCjfUmwyhuo0UsW5L6Zc
+SeB6zUi/BtVpvu4fdpuhfvPS4n5/v8c4ILJ8OXAV9Zs85Vu2YH3cTBvL9r0o
+bq0V9QDr46Zb1ldfQvFpa3wmyxF5qbdCf/ALik/8JqPJKDQOQwW/95ZnOHB+
+55zlj8YxO9rILI7iNj9h+5DicxysThm9ICO+ZGZ0YBBdX9uVmNrrjYOfLbXc
+hYhXs5v7KSF+cqz4Wynqf/eRI1VOIX51bFjWE/1d89NF+DQnHKQXidNXoL+b
+p6uwfRLdp9v9c0xhyHt+KzIKZog3TEfqvULc6uGUgeN1HCRuVw0TxL6LGbbt
+NEd8e1KEAAX9Lqnx8Ok//6HHkv7xGOeaxwgbaFxqzWNyax6LLqJxizWPnR2h
+eczEmOYxKSWax47k8tG+SzolS/UY5yWax7ROTlM5iyYz1WNGMEzlOjjiFNWr
+mfLRGL9e0eeMcdZPAYaYx9q+tSxj54cZdivlY7zoyqNgzGMPOZoP6CBONhxn
+pO7zy6sR7BBntT7u/Rp5TCHn0CVGNM+SUTHf/2D18P6uWAXkMYPWjxbXEc+a
+N26oRfEQnGTr9Qz1Be5MWsHXkMeUuf4YbEEek90rS5xUSoI2i7Dff//0gkvp
+VOsAAwE2HJ97r2uUAgkC/Xs9BIjwncn788RLAtxNMNYy4c2AXH+dOS9XIlh/
+u7IRphvh2s2+xXtl38Ge4xXvtDMJTl3ZUJsx2QJ1JqV3OM5UwovfbtJRr/rB
+QDLl+aJqF2x5/LD22nAT1A7KFnzXGYYvscW8yZdJUBYq9TXgBhGsrh738RIc
+g2Yx3bv1qK97TRyRCvwwCFbXc9vd9o9BjXOTRYTZMBSuEuIWN5HBKvnY5kDU
+D65y+6QJBI5AySXBDd6PyOBx84h3Wx4FAlScGlYERuDA6BHl2vNkIImwpHWP
+U+D8gwrl6SND4C3D8okiMwI8Sukv8ahvPfM74cfUu35IFJIJ/LBuACY7uXhC
+d42hPGdWWb+DBM8DHBRc1xPh5x/KZ2GBMdgd8rTtDn0PvJJ1TEmdbIXwQzur
+vX1HwKZoudpCtQMqhqtNdtriwVg4x9ZtaBCWydl77+S2QpL1ZysJphrwGTHu
+zhAeANfeEwM+c83wzIFkIDBYBgeVjB1riH3QybZnfdeXJkjxPBL2zaIIGiOl
+tdMWSBDUdEgk5WsjLAZpqKQRv0Er/fFDW9RJkH1nn+RWCgFS7/CcFIrPgo0M
+hzak/iDC0z+MJfHXCICv2ryoNpUGjO61AnWXiXDEe2nRbhMBBKcVXWLCUiAQ
+/4ogJ0qEbzK67Zw9yGNkWxXrpCTIP9tT8WEdEYgLfG2ZqM5nMHYX5vyAg9EN
+or/Xz/TCaoqHKxbPI4IhUtj3Qe6++q1YPNP37nHdgjwjutonI+eKg54c6wO7
+kGfelaiczkbjuCXcOLYTjfM1SmueCY1TwOa8QwjVgfMmv5PeZuDg2jz3XXpU
+ByaKbvs9VYOuP/t2A6Th4MG1eYF+7Ds7ARuuQjRO4a1F82g0ztEkPbFNiCeG
+Lz9SQPGfLDBw/u4LHAiYRp77g/7uM/XB0H7kt98H/8QQH+BAvpJ9IxviLXnn
+u5fQ/c9FtT7Zh/LIzDmz3Ap7fzFcPYj1v7IW9zY/RvVbnoP/Jayf/a889vUf
+j21e81jomsck1jxGGKdxtXwaF17zWAKR5rGZMWMqrzhK89iuIzSPicvvo3os
+8e9Z2n7awCjt/WZxNPW7LeDoo/IfTl5Uj8m1nHyH8cXEWKrHnjrW6GLrDhlP
+KjCPfZALy8W4z+cwR8xjpiduX9DGzmNMC45h+5D8Fh212DnAgYvjV54hjyWq
+7fuInQPUnE/ixOpqTr3b/V3o+TI0u5RhjrhoUZzvZ7SOXHm8849e48DRrueK
+FvKYVJKdr2kzHj7vlWjSkE2CT9ruf58ijzlJQibnOgJwhz1WSlRNgZZmhmkv
+fiLY9rWcFX9GgINp1c3HCelQ22db+vEuEZQ/xfqdaWqEowaM7uLL+aC2e91I
+mDkJwsuuS7d+aoGdp7RTUs9WQHOJ2aj15X5osus9MvSpE65EP1nP1NYIE+lH
+bTeRhqB0i53kwDgR0klWAyqpKG7iWV1MflNAyieDr32lH1gs39BNIZ+ZHqc8
+IKD+LpXDxU7ffwhYRU6UZXwfAa/26I9VCohvmbMcKxkGp6l3WrflyaAxpBWk
+zzMGscYPI62thsFwl/bZIT4ydJ9cX5iNvBf9hjSwFzcIpAt5p2YNhmEmRS85
+AfWtC/eeHidf7Qe3VPqnVh/R389ivKMmNQbHrTlDQYYEf9zVrHfvQP3b17TD
+Hshjwr5dHx0reqDpycq5Gc12uCLJvi556yhYfbgVst68Exw/Llc8M2sE6OK5
+MYnqv/u9sdz8S21gk9w79vZAPYhFTWRsoRuEoPMsjeb7WiFj/0qUv2gVuCld
+fr2Q3w9bhbfjvuU1g+Cvyh07ecrgZsnj+dLsPmAzZS2aedIEzcyhWS7NhRBC
+uKM53UGCpR1petefNILg1TNiCRl5IEeWc4uVJIF8h6q4SQEBtqv+UeW3zwT1
+xb4TqlFEMKjYcuzIcQJ8v0PGzwykgg2XY0W1KhHmv/EwpU/jITx8LNGqIBna
+h0UINluIsKKwRburHtVLh164lwzj4EWynXrcPOor34hPYO8r5b5YGUagfE8b
+UKmkvq+sLH57BXlM5zaP5XtUv/GzaR40R97glDc0GEK+OnlBfl8w6lv7XnYH
+BCJfKdj1ew6j8SeJB0LNRnDQrfloFw6N713SFqnbgAchPwZP5gkcnJKb0ZtD
+XDbxwbeMOlSHuLmrx7fioMl8uqVxrheu72KxOIjGZ1DVc0/NRP3LNtU0djT+
+nJK40A+UF8vcvNIRQTgIPEFpNkJ5scUdFzSM/FZRtn6VzwUH802crZvQffrx
+j71rQr9LonqzotQtHGjvYwg98x967Ms/HmNZ85jxmsd2rHns5prH3LPWzvO/
+pPEbbTSPqTykeWxZhuYx9kRe2vfpETtp5y4iaR6TmiNRucs1GarHYh91UflF
+A3GqxzI6J95g3CrjMtVjXhJFZ6jvf5uVAzGPdb4tysL4RjHZs5jH5EhHzU5j
+7yNkfAmYxx5ffpSNnZ9J3rkkcxf7ri2huQc7P6Ng6jY2htV1b9MfuyCPlbLf
+SDZFXI0uKOYJWq/3iuxj+oE4eJQdcU4arVfBJy+XqCY8BIGs5MzuJJj5oGez
+stQL9lON6ZtX8XC9YG5d2r4UOJghbXaDlwhn83BS6Q8IsOSrpP3eLx2WuAgb
+z9oRgdXf7rNLViPsa+FhrJbIh6HkkYbJMyTokP1wzvRiC7BzvWxQOVEOjzgS
+y2cl+4Hxll4DH30n7C5NPfgthwDGT9LjPW2H4EdKP4uAMREK6DPuS53vAVKP
+gveN7RQ4px/4qUq/H3K3bjXie9EPNaqBu8ckx6BHIXLdmeRBSBa8O2pqNAx2
+tUPsmcg/ZheT3QLbh+AvK0v34aOjcO64Wqi34hioJF9/F+k3BMrPWdQLs0dA
+mkuDIRN5T2p3mNYFjkE4/aD/dciFIXCuu6UhgPrWy8cs2r7w98OeFsUZnQP9
+ILDSVRm1cwx89yddtFcgwZah2Sy9fUSo2xb8Jw15jPneBaOek71wOGQ5iy2s
+Ax5dLBjyiRiFo3sWL9S/7oIOBcMT9x2awVlEwX6n9zC4ETZf4jPvgJDakww+
+MXjwnHSX5VwZhLBVeoNHEW2w6yJd6xeBOqh86Jer9mMAnG7INrUztcJWP6UC
+nrBK8G+mFz3woR8WdH5ZZgc2Q4t8czjrs1IIPHDd6Hh4H+ieVXhJp9EEZEnL
+/fdZCyFg8z4DjzQSnCuxSyQrNYLfTY8WtcEceI3/NDSyQIT6RcfyU+g59ZVh
+y3WtxnTwWNhRW4CeU00TJRt5uAhQrJxXNF2YAp9sTrbu30mE6tjRg3odeDjC
+u1Io5ZIEp14MkFdWe+G7jcnGBOQB7YSlG2+dceDZv92tF9u3j8B/JCK+h47L
+PwfVP3LNyQssyA8PX8QHSSL/SO9cwi/V40DdXifWAflnlr9Iz74RDzf9vhnb
+bksCPzbxBEkUn0/cTq87ip6/h0luZccPJUHC7pr3N9Dzl4d+541CdL1d7WeV
+JuEk+Bh1Ke4Kut6a7midHfJeWLime+Ik6ivFFP3YFnphkaVeKR/57f644ZTi
+d1R3BY1oOiK/KfbPXP2C8qV5dTTbFz33gxMGFrDnfvHpjPKP6P5tao/8tka/
+694GIZnu/8BjD9f4p388xrjmsa1rHhNe89jC2Nr/xyOFxj3XPPalnuaxmHU0
+j7XspXksgofmMbvnwlSP9R6meSwtoJ12TsPv+1bq+f+QFipv8Munfs8VqXwm
+kHoOpISb6rEDdg81MY+13yIYUvtKcmE6xp/vqJPEPHZ5q4CWFuKhgS9yMI/9
+sBV5hX1XG3XY/rAl8pgU/Sw75rFdJqs3BhG35D8ywYE89o2hzcoY2x8zKMox
+Quty/jsdmc0fB/6H3/RuQetCzBeVaUXrHnn3xi4RkSSwW3Y2dUDrHmbyrGRw
+CdV1sfUdP/hS4JCSyvMD3ETI2rnxQLUdARZl0k1LldLB/O4vfKwVEfjPSu24
+FNII7e3y9FfVv8HU1SOKpnIkkDriyfyTtQUMu+016Xf9BOVpElFvog/+ZB/0
+nTnXAayzjy7avMSDcM5uOr+ZQVjaeefqz2+9sMRYouwl1wW5uw0SvqiSQWGL
+b6fnhz7wsb3Dom7fB1fDv0WRxMaA3e4Re0v5AHRMT1Bc+gZh7+omTbsDqB+U
+/8Qo0zkITQePhz6JGoYaHV6+b3JjUO8Zt+oWg65b9kmsURmG21YKJjeR945x
+JRcvXx8AH5HJtPtag+BLf4yktG8MKOrMA5tK++BvH+5JUXwfeHw6ufOr+BgM
+eevF1B5Bni7f38K3mwiy9kFxschjdBGv8ze978XOJbjvqesE/4eplX38ZAhW
+l28Lr+iGypqJJsEXrbAkpt3Tc2UEVF+oMtT0dYIrm0LErhNNYPY4/YHExmEY
+G1XIaTjcAaWBfUx1Bmj9oxUPKHcNguCXnGwbrzaIlnq0YbK2Fj5vkiSUJA1A
+QXsS+6nGFpC7o9wMIxUQf4T7Zvyjfphkvp2ip9gMfBeG3r+4XAJZng+iKJf7
+4BXPVh/6gUbQJYkIWVt/h5tiZu8+2pIg06WzmWeIAI7ff8Rbe2TBLZ1Xhvu/
+EUGgeTyfcJIA3rPSvv3b0oBk0isnoUWEBS9pnbBxPLAFftMx9UqG+XBWrucb
+icDiSpT7gPq+J+d+M3XiUP/yZfvlRNTf4d3PuBZjfUfDFwXhm6h/tNOVBKxf
+u953z7EWDxRn1xixchzclDe7OI184nIwZ3gb8tXi+LpNnw8mgZx+5x5D5Kva
+HYZi2PntfnVfNT7rJNi6aUwGO789l2D2Mq8N9V9pErfYLZLgp/eUSO9KL3zM
+tSs/j8aZ5BFpGjmcBNbRMeCGxonEv99diPxGN8S3i3cWB+ue/s4+ifw2wLGJ
+xRH5rT38XezhXFTv7TcXUUL3s96Q/fRxlEfP9fW1I1B/yun+Rntl+r/zWNw/
+HqNb81gdK41vW/OYx5rHlj/TuMyaxwLLaR5j8DCicoeda/tjrjxU3ibJQ/WY
+aYU2rX9saqDyBamTVI8pODXQ6rduXarHTDwc/TA+w1NF/S5VXXfzScxjgdMn
+eDGPyb38SP2+XmKRhw7z2PrYSBENxInqMRGYxz4k7bp6E3Hb18YphpbY+UOD
+Y+tQPNyYdf3cjbjmzIJUPKp7b3xrmNFH3C12NGIvmv+YcyqaGc9R/VbnEjyF
+5v+4XlAqG/IYe3/aKwZu5LFzvrHExV6w8DFPT5zHQ/ah+HR1+hRgan2iTuYk
+Qmwxc3zCNQKIMZvwGUylgUKAmn39ZSK0P6a/EX+3EfbGrl4bMc+D+/R7aq5s
+J8GTbEnlmexmmM71knbdWAa7k3cv1Gf2wS+mStevn9ohfO9ePsvLDeAumWu2
+yWUQBoQ+XSEJ9cKfr/a69zg64OoYp9M3y1G4EHe9s2Qc9UlWp45t0SWBZcMe
+i7rtY8Ah827Dte5+oHu4s8zcZgD0jb1bBVC/6be5ujOxfQCK5E+/y183BCYf
+tPZ1Ir/t+5v1aC5jAKZ/7jLYWTYI7Z38QnSIXxqs2i2c1Q85GlwayXsGYLSr
+oenA7jGw/VN7Qe1aHxgHf3ZTZusDvkJO/XuiY1DRFaB6fxcJjOVzg7ZwIb8P
+Ki/qII/NGH5nrRzthZdvPU7RtXdBbD0z4YcnGbiIJPeE3z1wlKgzyh3cDgds
+rS02HRoFHmmdF8u3usGFvpqJi9wC9EdPMlVsH4Hfd60eXEV+OzhvdPm2MvIb
+o3FYO9swHDn5+bybZAesxjv4xyqieHfSjiERBmHmVR2HILSBREi8xlTzL/hp
+cbvzo+sAlJY9e379Qgt46NnzUY6Xg6v6BVYtVA+/ZjjLK5bcBH633+0PvVME
+sqot8ul/SJC49eg2uN4IiwfmXPNXc+GCwiX9E9wkuCwk5FPynACT2x87KLNk
+QCVTqADdQ1Q3X52P7tlMgKN/0m3iY1OAZ/4MWV6MCP6XEmsCkDdGio2X6I8m
+QdxMrn488kYg93IV9r15iEZZrjnqN1PL9/Ri35tfd1XYHleNB48ic+dd0Tjg
+M606uISes/hn4fvjUHwOh+hHXRRKguH3VR7a6Dn746bLTylUB3ZKVXjO3UsC
+kbJ3HkTkMcoRla9TnXhYOcswUBmYBPh082hROiKEfya7fEHe23NqXTm/QxIs
+vYkv9EHX52TtHNuO7rNiB7SMI09C5Os0I3SfQ6rTHduQ3yovipYIUHBg4Drl
+W4/61kulfrcJyM+vrGfiQ1JwsNUp6kvtzP+9x8z+F4/FrvHva3xpjXuteYx3
+zWNsax5zil07d/GCxlV+0DwWuY7msaHtNI996OamvS94u4nqsYgLNI+VTVZQ
++fvbFVwYnz5UTdv/P9U3gfEIHbdnGO/hekT12F/JAMA8hvPJbMXO+wU/eYjD
+eN29+hbsnB7XbotJ7Jwe/7TBY8xj3o5vpKnnYZ4vLKoij0V6SV3D3gsP/p1r
+bkZcY+bgRXnkscyfNne1EXewFzm0DnmMbVje2tgXBxb33nIQkMcIKg46SgS0
+vn1nc9pZk+Dhd87Teshj1dfTX9jP4KE+9uLMy5ZkiPVcPh7HTgRpd/4Xz40J
+YKLT/ZH5YxpcFRXqpjMigpzMgyvC5xqB3V45MuFxLjA6Xi/zYCEBeWSbWJdV
+M+ST3x10ny6B5qg9QHBF9RTHy/ev/rQBZaNw1M5D9bDpHuk837pBOHP9eOUS
+Yw/8FnngyzPbCo7j7++dfT4C34NeVZ0CEiQFOr7eLoe8GXPKsA55g0fqmZH9
+Yh9wDo1weS33gUXmIq5PYgzUdf72POzqh/z4txcmbg6AqfbtIB7ktw0S78ZP
+VPYD/tuOZvtTA2DpNOQTjXxVtYVj+611/TA419l5gbUfQlbd1DhR/+jKczz+
+/hIJIDRMsducBCdcnTO5RMZA79FHvTdbSDBsFkW+N9IL754ZDOZsG4NnlnQq
+IpJEVBcXXmlK7IZHmonFAe1kmPNnlFF62gvTpteD79p1AjennnXNNOo3a1sq
+tAZ6YNdUcBT/w3awkBz6/VtqFGxFLq9kB3RDTTrT7KFdrbCeXXmq/+gIHOig
+d2PGd4LtCbG5k6JN8Id8LC/h7xBEt05dIuW3Q39k+V51jwYICHJ4PuszCKMX
+z6iMBbRCSlLm6cK71eh5ZrHJa90ADLYfgeA3zZCi+vXZdHApVOqzKSZE9oFL
+/FHOBvomMK70Hso6+gMW3ETs3j4lQQIjj97UCAE0P8iyq7zNgkyZ1OwD34lw
+my6ATliZADOdN76LLqXCt5dP6prUsP9/WuWl16OorzTP+W18Nhk+M408zWIl
+Au/8+mlJ5KtrjbnqJmGoX3jFfTQG+epd9FM+LdSvDajgYuwccHBhRKc4Evte
+WDlISbgeD0yLAeNXu3HgG/jhrzDyyafjkgwOrXhQ5jv8Wko/CfL1T3ktLPeC
+Zl6m6Bjy2Kjy5go/5DF1B9bb25HH1nnO6c0hvr/tne+GV0nQl+zZL4F4hPHh
+4lJUv3HoHr72HtVveekntYdQ/RaEPzq7pQmNs/HVL0mxJFDYKeEfivwpUrBN
+VRvdz573hZMTvTioy2BmU57/7zwW/Y/HZtf48TWPca157DWFxvsiaNx3zWMj
+GTSPBbufp/Lz/DSPPVameUyLbj3VYw9Gz1B5MXMhlUs8PkP1WONkKZXXZN+l
+eowg7eeG8TSOA1SPhRhxHsM8VpGlFY55zFfA8AvG99tkJmMeG5b1LlbB/CYl
+boF5rCyVZfk69p7CFm92CHmMfdfNF9h5aWvdbp46bP/t/rfnv1DdbrvnD70m
+ige2Ui2d5krkYVn7BgZvHDS/bqVkII9tmczZ4IRHz/U/v2S6VnGgqLVBrATV
+1SaftpeqTKF+Oe7wSYvEZFBItaS/uZkIfLPtX3HaBJi683D6jnEahC2LfDfV
+IcI8T674bdlGULfweqv/MQe6JSzqYZoIL6RE6hX4mkFzOb5mI7EYGHHRDgFq
+fRA9dGvV6lwb5PmqE53Fa+GYg06BzosBaBVlEd2L6hjZPPNVv7FmuDixSV47
+dxiMba9M+NgSYeWw8n1cdA/Ih09HeR+nwCahNtGnwn3wdamPqSyCBIOuT9cP
+Is+8XtW2YiP3gRJ+ft31gT6QOeKYFoD85jX60rwA/Xuo+Z+T/Z19cDg2r+I2
+4lZLt5PldfogO4XzPBuZBL5qkefoUd2VkxZYJPWSBKxdksPH0olQWypW8kZo
+DB5aL0139xBBZ/ttc7G3veAfE7NHqZsCRg0U3VJd9LsLfLRjFXsg335zCS83
+BSKZDOe0ULxXzZteebi+G+YFtAT135LhOm8cswjqQw/9ahG8hfpQn4t6j1dQ
+H3py27qUcfZeUPv0//Ry7/FQbW0cwEmJOYoYhRClQhIdFcflCb2oNFHqTRER
+oXQh6hS55y5J5qDkLmqGCCkJhVTGZVzGdewht5mUS6Ejztoz/jr/v++/v7/W
+5zPPfPez9nr2StroPtgFjTvInbePjsFpI9M9fO59YFzfGNzO6QCaY1zILYVR
+GG8t0RTa0wNfo5rsa4it0OTuUFQWNwwNlo1N9rROkH5krrm1vhFKygpyj2Gf
+oZJQ/FE2ugNM7CNkyifq4GQ8xSL14CDMbxN6l/e8DYSDj2yi364CMyvS9oRF
+FkgeJt1ab9cKqj4xWxVryyBd7ta3MOR49ImqXt0QOvilcJTau4pg7adzBq7e
+GASOl8//FKED/6Li+5sJBTBn0kn6rIiBuNkMY3UH2vfZr9s5ZkCFO2lKD7nn
+45KB7vh8l1XAcIC3KwWKMlkUfL6LTHSx8UHP3/vPPGKFYylgB0WpKsi9CceJ
+RxGobmUu5hxZx0cFT3+lZXRUt8Wtlhggl07Of1zjbEuFUEvGaDhyKSJSk6iH
+HBvX951i36ZCwrwkXwZ+j67VG+F7qK9reDeQUu5LBckJ651qKA/45ZN/ETnZ
+uSNRSwg56XUve+AHctLhjN4mddQfXgn7RmGtpUIMUBlzc/8/x1L+ta/8tpT/
+EOLlokuOySw5djqBl2stOZb1hOfY64Vj3JwuznNMMpPIO/f0n+fmkT48x7J0
+S3l+KraI4/ny6gpu3lIpzHVMwuXpde46NQav4nn8wOPduGNlv7NtcMdGLf7I
+wfPXg3ZhuGOeFKdH+Peq0hp+Zrhj2ibKzc4oV5u8tXETcozpbvNyAeU6IhWh
+dShXv3vZ+SxyTPvAdKERqocQJ/KDp8ixumI52ptgClSnx6SQkWOrhhaIBah/
+fmCQ6L5nmgKzZIKbDqoH4TiFEzvHUb313ZWs8c8Ha1pKsZEIBgRrYVE9Yzp0
+Cr5RbhYtBGPxi88EzVC+/iJZYV0rKA9NhAY1l0LELM1ysgcDqrCA8amGNrh2
+4K0LtacKrMYL9n8TG4D4U5XYTCkDAoOGLizwfQJKo5p5ntxn2I4pxXpW9sDc
+QN2n5wJtoKthrkiaGgaHsfPdWEI/XF21+ZBuSQ8UaBXrNYqyYVcoVhhtyYJX
+d+YY3kcx4JuVGdaR/QIbktZn/Vg5AC2xJYzI6yzIPLrC0wH5dlSmjawiihx7
+GjMlG8wC/hof7yiUF6knJTVmsOAkhUpI68BAYa/Zd2n5L8DP4DNMkmdBE1sv
+N5Ef+WTkGi2G+sDvga1JYekYVPkmgK9aP1i46qcKhnFgdZI8yJ3DwGUOS7aO
+YEIaqUY7QIsDf/Wd2TtnhUGQ+YVD+w4yoT/K7jb/eg5UKY/MqGpicKyglF1J
+6wNvz0AtyggbnnlKd+i/7YfdOwZNfC16gaU+c0WFxIa1FwRtiQNMkKraE2h0
+rQtkTqfcdd46Bt3yUXbaib3QH+nUmOzTDlJO0qI5kSOgcN6usEmgG/60rUhJ
+WmiGkKodbo0vh+CqkpbkvXAGkFbYHMu1+wja+1OURX8NQmbGKblar3agRvrG
+n9jyDjyqG7oPhQ4A/4IUcWikFc4eXC/mFfwawtzy9ttfZgHdmvTOj0mHKJWf
+5Y9IJVA3NFPaWYzB3gbjrU6GdGgN7xQRFCiEds8z5a9MMEhL/PWo6WsLkAWT
+c03J+dBN/NjntAr1+XFO6u60FhhuT1/XVUsB3bINGePf+8HUglqDv1eRfi/R
+a4nq36XOfys+d8QsdPq7GvV1Hj8iG9+nUUDeRFNdFO3vDif4HRlFvqkEFEfp
+raDC6ftisZLImZYpi914/yapwrTehlwyDIM8vH/L3vBloQ/tN2lOM0bTnlQo
+U9HPpaD95g2da9HHUP6wqNvD5wIVRPVDxQ6hnPLDNQSftzwpGFzXY0qFays2
+WePzlv9rx24s5cn/6sfGlvL8JcdElhzLZPPy2Tu8nBXJy++l8xwL8Oc55iHC
+c0zmN55jDzWmufnKNTzHjmdRuXlw/kmuYyvLXnBzrcTUcTyPffHdgztXtj+J
+65itlx33O7I0+QOKuGO1K/dwvyOzOmfogDt2LFs12gCfx2h+vh13TLz1eIET
+Pu8xQbwigRx74Wb/Fb9HTlb/PlTi5wUSZrKL6LkWW9AQr4/fr/I1LT4YOXbG
+JudnXCAFLqju8LmJHHsbPZk7jfrkroOvrwuNUWBipudZMeobNMwu7TJlt8Bx
+tfgotRP5oCzh8HAXAYPxKpNFKx06mDLPL5v88AykWr0E1xhicFeoVDL0Jx3c
+axQIyYRS+A9dqoDxHgO9d/y2xNA2eOC6+f3BkUrgZAdJRTFZkLo4TeLfzADD
+P7MvfeX/APN5ytX2JYPwpb5CeuhlN6wdXtb9VY8Ozs+Vy27qDkNFstT+LWlM
+sN8yvDZ1Ofr/2kTfEJsbBf4SWstpNwzC2S3Hn95nwvPHOmNEHQ78IVXiM76b
+BRXrRgsLlDFgl3iGpyB/ai8ZJruascAt+vxs7T4MMqvMY5Yj94hybNPZBQy8
+sqN/7Wroh0SmaP20MPJKsGr0wF0Mmr/QVgat7gdSzkzWh0sccCp5+PvoKeTa
+b4LSZx2ZQFp3ub1KiQNvOzTqZ9B65mmhRpVkJjhOruGw0XpUUgx0HyViECfj
+GLMgi36Pak3M7yYHROyWN/jnYBCbPr1XcVc/vGya6lx2hwObOrLsL53AYFuJ
+Ss2h/zLBOHqVJHMDB6YiX7qkx6F9WAy5wiunBx5nhhW2C7NBOTeWqd3aB2rf
+Y3sOpzJAT44kQnAdhXxZZ7+IjT3QfMEiVGmCDs2vbWePBA/Dlo1uVwj+nbDb
+IXWs/AUNCJcO6ZvmfQaFw0+KqAYd4Cbkd3yxvxYsw+y0A4iD8O2LhmpwUBt4
+THKyhrsrwXqZ7gKhlwXWQ281b5BaYdDI6u9rR8qga/XVXoYACyiVta6rIuhA
+k9lnaz1fBHbvwzU//YnqpEEv1E6aDuppNVFPOQXQP/KBL1kV1VX/M1UC1gJ7
+pl+ZVNdTYaGoN1hAAAPPy9YNBOTVxNzk51oyBbb8yCyPxs/Z/xoxwe9jDBS+
+Yy92jgIFVebZ+H2MjNW6vhs+tUCpo0hcYzYF+sKFdlog396+vH8rHvkmEdKe
+nIr6N++UwYlO9Lx+fDh1LB+5tNien5GHXPINIzddRi7lGgU92Ykce2eapUd2
+o8KRIu8oLeSYeP2HNeIoN5hfVtPsgvq0Kb4MOZT/A7sXky8=
+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdmjGoLEkVhp9iomJmLBi5RgaaSofGq6nRghoqGLliYGBsYqKGO6Yb6CB7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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHf8V2P7wD/nnE9DqaRdSDIqMkNmZITsEBHKLlKkSEayIqth7x2ZFUmI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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJzsvGlUjd/7+J+keVRCGpQipIGQpisNFKlUSqEoKkSJiiZFoihDUUhpJDmn
+eUAlRRNN5zQP6j7NEyqiFP+9zzmfJ++1Puv3f/L7fd8Pvo+s9XLW3X3ufd2v
+fV3X3vtIO7iZn2BlYWFRYmNhWYz+9SI4hiwqKXCEdS+X+HESvA7Wc5v81gv/
+y/+X/y//X/6//P8Od/oHv8rk3IsZvJzJd9MYvIiPwfddY3DLCQY/9YzBBcMZ
+/JYnJ50DvwWd140zuMxyfjq/4JBA5z+J3XRep7WTznf0ufBiztV8ms5N+BuG
+MVc4ICKD+XWpYHfMKTwwjTnnsa059Ps3b/fGPK3dQMkScWn5jTNSiKvs4krE
+XPrHL+sDiJcFbVumjPjk/tseU4i3yhTo2SL+oJzzxgXEzWPHhn7g56PZtcUV
+8ffunLxnT5AAflhcZZ3sBaesFtNkxP2uvgj2cSHB+1DfqfWIqx10fKFeRQEb
+MsdoijsJwmx44iIRjzZKn71XTQHPR2Oqh66SoJpL6NG1qV5o5Fvmq/KJAi+1
+c5uqn5HgxuzS1sPfe8E94LplQAMFNF6su/ioD32+0vK6w89euKNRrnK4hQKK
+iu/kt24lQ7XrDN+V372wTebNgZouCoQPP8hLjSBDc3j+HDsLAXFJkp/mCAqk
+H33h0txChr8mfxJfLibgz5p7Xnz9FKj0TaS9mCYD2VMiRnoJAezdILCURoHc
+2Du/V7SRwV/ZfL4IfZ7XvfVrGro+z5Yx/v5bZGjXIm/99hc9n4YlPPnN6Hk+
+sVmiqECGjMmVhnzofgr80+6Z1lMgovz3+nVUEjSLnXgbPtMLX6/KvqmpQeM4
+RCPtjSKB6zGWvKPTvRA163/ZDj23XE03qxgPEthf/vvpJXpusGfu2kX0nO8U
+GJ9Z6USCkzLCCjyI7xCl2OLx9bYasZBB47XRPrkUj69BvdyeE4h32T3p40Pj
+lb8p4tkC4vs77dXdEH8e4CQdg3im7IskNnSdqtdG/acQ3/dqV8MhxLtnfKMX
+IR5S+6zrGOLr3rVs/Yyub6bRpv0bXefyswuChxA/5/jt2WXELx9r8J5B3E2o
+IMca8bHFm/rMEL9xrFfsO+KeBr/uWSH++VTF5p2IF1yaNJ1GvDa7+T7mrgZP
+bTG/9fX7fsz73O+sxNepU525Yoj434RQMuarztZEYl7wRXydKb7OHXc2fP27
+cj/DMY89vazFBPGqSwdZMO/VT+7H19cybUw0QLyv2ToUX+c86+V2HP/ymd2S
+2xGPlIuuxfEfbh7ajp/n6sGgbevxe7QoZ+XUv8BL/43b/4NfZPJAJn/D5M+Z
+XGgJg3czeXE/g08pMTjndQbnE2L4al/MPjpXSGXwJ1u46fzHntN0brLWgM6v
+1K2m87xXKdyYH+c6QOfeO7/Q+Qr/+mWYk88M0Lm2nMoXzK+dGXLFvPL73guY
+x3jIr8DP35QrJVcS8Q1eNXcxX7+mkQuPV/Q3kZaNiOs8SdDA45K5EJVng7iX
+xe86V8TbeDiCsa8mhbbfPYN4dXwgRxCKZ6/szouLUTwbbg0Xyke8OKf2yrmT
+JPD+vPPMNsT3Waze/RC9d/uNY79Xe5LAcFmieAvilpkaN36j91Re7kPA1AMS
+xFTvWnQVvadrLj3h8ERearq0RGwl8pLt178Lh5CX4mt+q8p3UuB35OyTL95k
+uHjeVoL40wtzNjykunEK1FjEfzx3JgP6hmaKDXkIqEiWKeNeQoVSw6kaA/tM
+6F1kwLVfnIBr3HZ2XVJUeD/y8vbHlVngK35Ad4MSAf3flnP3b6XCK45etsU5
+WXBI4W9vijYBerf+nt8LVPgea+V46nsW8AY/bd5pQMC3Bzx7R7ZT4d09OR/B
+d1mQ3st2UkiHAFvT4Nd/pKlwYOjM+ST5LCBflIEXygRctDhgIoHu57OuYU0F
+uh9Ba9ulduh+ogQHI7hGKfCk+aPI6K4MUPzTdcSKC3m1XtklEntY/Zj8VjUy
+vDxb3fkceW8VNwtl6iOK21KqhkMyCRa/06hVRj7X7PI4NYXHy8n3S6ErCTq9
+h1qOoue83VWoE7+/xel32S3QOO4oubGN/l6/vHk/F3ts0++uw2i8WByVHLai
+z+dzPNn0BfHNMzHz/ug6rN4Xu44gfv3q+d2diLPXhYp5nyYBP0U+ygxxVfKt
+gjTEj1V25XxA89QN0V8lmxB37hy0DkScS6BkSwjy6oAhb7og4l1fnfxP4rhd
+pWFmiOLn+omdj1kQD7B+wn0U8d2cRn3v0X1aOZn8nEX32fxpyYkjiKssXr70
+KebOoqt+IV5FI5VgbtC6eTIZ8Q92K20x965bNWCH+P65tG+5iBdOs6/H11F5
+L73WHvGwx6svFSKuNfzKCvML+vxx+DqSG09uTEKcKN+oh68j1gPP8HzNlhv6
+7RLiYsU9m7CHy0Vfe+DnKW2y5dA+xOuLtkxM/wt89U/uzeTH/sH9mJzE5CVM
+PsTkFziZvmLmXR3DDC5zksHHQxm80pjhsXWtZnS+toHBRyX46LyzNZLOGzYz
+8q4Vsjp0nhZlQ8+7+AQYeReLjOAI5sMJt+Uw3y6fRc+7pN22/cScX+/YKOaf
+phJ9MG9olrSizyP7bizF83JZvlUx5lMfpC7h+ahwQe8jIF5jWamFx2XoWyI/
+nme3N8uxURFPduIjzyGux+UoHoG43sPyXANnEsRSlh8UQ3Ho05fcsRn5qvXe
+yM4dKL9a4fFodQTij7cYrFRDvppPXMVreYsEE8ULqbMov9r0p//6c5SHfMpc
+CJ9vJYHRwTT9TygP4T1/4KISymdWufnc0QwhQ4/U1TWPUD6TsOTY9LvvFNjI
+PbmGsysDONbeWtcjSIA7R7mDrwQV9vidldHhygIVjwu6AZsIaA21mXp3gAr+
+rT8eJ9/JBtnPXtY8BwiY4to+mxBFheZxIaWvBrlQucjsk0YQASrsMftUqqlA
+Uese883Jg903dh9USCWgpjpxgZeggnylmNMpm3zwztvb/y2fgPQ8ysu+Riqs
+NR+T//U1D8pG5gSMXhJw/NidYrGnVLg98GR94f1c6DMdrd4bSoDWl1Uz5Yep
+oPT0SMuxd9mQdSJN5ZcNAZ6LCq1dxKmwUXu3RuWiLLDqaf5epEBA0HL+i/oT
+FPgi8ntX2/kMcOhTu/4Y+blQcXvwHwp6DofuHHJkJwOt0cxTdhbNL10RMv3o
++Uv1fFbtvEQCzY7+Qm70nP/uGT+Bx/HQ8j1lrWgcW6dOjOFxLJTqOeuOPv9L
+r7r+7nn0/q7+7PwKjVeQf47vOpQPa+5wZg32J4HHmbX86ug6CvGRrSyInxUP
+Cz7lS4J1/l0DkogrchUm4evY6dLIUeg6bx1Zw/F1mrUumo+hvxsUHKRrhXx4
+xPtJxyHEsz5phz1CvP3qUPQUip/sdVYiaxCvuDDu5Invc9kD1i/Ib0dL/Oc4
+EU90s6txRvyRzMJLZcR3elw5+Rf7LcrC8TjilZUTBxchvnfKcgnOJyv4xN9h
+vqnS7Rw74oa22rsxP+x1QBfnn4Zd4144/9QxE0zEfG53RLojrptU8w7/RM9H
+mm1T8Dziq/MPJ2PvWZn8snyLeIDyuQzsvSfRV2Kw3x7+uboG+y255eqamX+h
+x/7DHf/BA5l8jMnfMbkWs37cwqwfdzE9FveFwW1fMfgss358/JThMaUTB+hc
+iEefzlu2CtG5btUnRh0qvIfOsze40vn0r2J+uvdYwui8uuDZKObuwnkamL+K
+rT+HuciW4cXYV+pz3x9JID42GnGV/vkIZxLmsnVJDWvx5xvJc5gXuMpePoj4
+9YyGb4dwXtfflobn6+fnN7udRnxXms9hRzTu6SfFZ3EdYSCSJ1eE+LwkWbAC
+zeMtj79lqyOupbL1VR+K548i3r7N6D2aN+w4i9+j8Afq7tdQPejqPP7C5iUJ
+epvJbdEof8iNLSX2o3zjfkNifooqGbpkQ+t8UL6RntJ6eBrlV16B7GLubhlQ
+cSQuxAG9vxtymhcHrqSCUxNXQMREJvz8VNWctQH5qvZHGsmRCrMiC7Oek9nw
+KSLhB9WOAMuTkZ4tNVSIvneEY6IkD164+VpZPiOAVrf60GZoApbgeE+V4UJg
+4Qi8v2qWgJPDJtryiU3wYGw29kLMG1Dy9A56rk2DiOGPTvmNTZB77fvQ5r4i
+SJJ+nSBylAaiYiXn3r9qgn1eiTfTNIvQPDF3VseUBhIKLMKfjjbBcYcthUTj
+K0hv2TZTKEiDHM4lMfwDVNBx+eCw2zMflMQMst+9IuBm0ndBJ1cq/N3fsE5c
+MQckb5uMfj9OQJYS5xOtpVR4E+LoKfQmE6yjpd9EyxGwLWmbVsdnCtCeF304
+kE6GGZ1ffy4tQvlbTHbMbTRfhPffXL3sLgm+yN+U247y282jxVHuaLzEPphN
+v0Dj2Oq4InoJGi/X5NEzlchLBd8ymlVDSKDqHOX9Ao1XRNfS8hCU78W1/pC/
+GkcCNkP3zn50nQPJY6xHEJ9m9z6lHUsCDf2sq5WIX+xccWMN+rtyH47PbL1J
+gkv+9zaPoet0cd/aQaB42MjX9yobxUNaxx4SJ+KhKRsseBG/wBFiLn2WBKue
+e/CeR/eTYii3JxHdZ2RukqMdyuuqfJJD5HFdHFv/yhtxk2j7A/worzO/cz+W
+G/EVp3UCcF6Xpsl7GOd1L7Q76HndA2mdv9hXWymvXi9HPFesZe0f7L0jylmY
+13UN+gkjLmQy+xV7bMlsWC72nml2YtkSXF/bntTGfOzF6yPY/zWeZmbY/0oF
+SQPY/705lD2Hcd4iVVx0B3Gfze8sf/4LfPXfuPM/+DUmV2f2wT4wOYnpMTNh
+Bn/A9BjXDIPfXW1M58qRzH4aLxedr9U9ROfDVgyPnfIVpfMccVF6/VhbuY/O
+lw4m03mFGFUIc4ueLDrP2ZM3Tr//V3oHMc9Z0DlP9yH/HhHsq7mepgBcP753
+Xnob80MVayVx/Rhy7cs3BVz/Ko8b4frxWNUSCdzHWFhdYhWI7/9kSiCeXzYI
+r+jB/Zb9tf36kih+GgZzT+F+i3+gVsdP3McwFYlgO4Pus08o7TjiU+bHw6rR
+e7HuVewWc/RePD93djodxW19vsDXYJR3Lf426czXQoLTq4R0clDeNRrFV83W
+g+pKM5/7KSQy1Lh+HohG7+NsIMuGUVYqCGZMKPqYZcLsurV7KGIE3G+64Uw1
+osK2DdZXn2tlw4ZtnyKfGxMw+so66FwpFc5PxZgkeuXBnm8sKuxPCVg69veu
+h1MThD9q+b1p9hWk3eSJzBKhQWGr9levNc3w18lRoXLVW1D+GuMa+pAG+Qnt
+4z8qmqHwinCSe8U7WAj5duscbx/cKbsQ8GllC0T9/vs0aLAMlrzpepu2qw/a
+V3xYqJptBlP3vhWK3mVQcVu7e71yHxiSHv8oOtsMg0fXWaRGlkLp3tCH7nU0
+sBLw23flWRPU2MzpkYrfgMMj6onTujTYFZPSJIvyvRBrflVB23x4tjciZVEB
+AZe8Uo59Qt93hapCujf6vvMrdyQnoe97xCI39fQk8vxE2q9YUgZ4BZ0uCeEn
+gFobyOtci+LT90zP40KU93454bLtB8p7f3NWBOA6Yn/rEXc0jpcTY+8IoPHS
+5LLNbUdeesN2vpctCdURhS5rpdD84iP9fDAAjdfh/SH+r5pJ8DQ+mTUDjZd4
+ec2Ne4iPeOo+qEHjWLNHsL4I8exQ04rD6O8uXOz5wYv+rrtgj5IS+rsLVjrP
+65Hf7pJyt9yJIsGgs/nG48h7DfF5knPIY2bJ4Yv5UF7H+/2UghiKk30mrfJ/
+0H2ONowaHkZx5cbZtPwkus9wp/eKkYhnpLHvvIXyN56Sx8MSiAfX6Bbg/saR
+qPwVV5F/uHtjInF/o83G38sBcY/3KXcH8bz/98cL3K/btfh2Mc6v3Gc8ckoR
+P3F97TucXxmbGwhg3sQlo1GAuN3b57swfz1tEYPrzdU/ijoTEVfcIQe43owX
+q36E8zFy0gY9nI91akjI/RvyMbv/Ulee/kcfLJzJnzA9VsPk2/sY/IMYg/9g
+emzlXwaPjWN4LOIhg5vfYXjs3mkHOg/LYXjsybg4nZcVutE91mNizsjTdEcZ
+fbnxaHof7Gccjc5XGah9xdzTY4sv5iw0Nk/Ml/gflMce2ztXfx/37Vu+bniC
++fvWfc+xx1LKYj1UEb8SypaOPXZRLtsc9xP4xETnXyJe6rG6DI/XvcEX9qF4
+fnzA2bAYxU/Rn8rFy1GcFKdvMNqJ4rBqaDUL6zkS3OFZZxCDeMwvpdx+FLdU
+Ac4fufdJEL9syYwHitviFrUnalQ0Xxtn+93kIoOej9qefagOWs8mmFg9QoHd
+XuH97noZUCTu576ei4CVfVEDypJUSPtz9roifxaanynUBVQnEmqdJ4VCqJA7
+v8kmqTcHTI4UWvz1ImBrWQxrnGoTBGdlST+JKwSvl2bSLycJSO3KYTm9oRme
+Nzx1XmP8FkJCbl1yjaMB/ym1J4P6LXBRs9rquF85fAkQTvl+vA8ip75dNdVq
+hYa2vpXqXRXwU2a5c5hwP6RObaq58q4VVLSqXk89qwKbL3frz7v3Q75BTvS2
+2FYQ76/fCWur4Ht2h6aWVT/sqZedW97cAgfcqMKN5z6A0LL9JXtr+uDwMfuJ
+u+Rm6Hvl4xB/7h0Y3udR3febBkvfNsaMXEF+UzNJX/v2NUSrSs1my9PgsZDN
+QcOHVGiS9ZLa5ZQLNJ7DzoHBqK489MVyLx8ViBq9ey9iMkFw1rFCQoYA1aVZ
+s3Ko3jyhqmkSP0cCaqeNwa1fvSiOnIRwn2ooScj+CvLY7sjLl3CfqsN6WjS1
+jgKNgQRpspoEzSf5E0WRl5ZKXd58rhnlY9pLHN3lyTBu6DTQNdcL/b8Sdlii
+/PneTI9JBcqffxuvueCH8ucrncpxvejvCgqaXipnI0Nt0vw5ATS+vDcaei3Q
+9R/MBEn7fED1y6XYji7kN2VlRWo5ipMOSsOTsUgSZF337DiE4mTuOcfBXBRX
+Ema33HW9SaDbaSUzgu7T81y0dSXO/y+lVx07RQLaEom7uohLDqR3nkfcTSTr
+RhvymJFCbj8HztNSQ57hfEkjQ63iPornPzuH7+N86b6suSPua+mnDgUbIy7S
+b0/D/ZOvrqo+uK+yRtG4A/dVJspDtTEfG/Q4gTll7P4rbcSvHZlWwnw7+fEv
+/B7d+/20Xg3XU7UX+v4Nff7/5jH3f/D7TC7IxuANTN7O9Fj4GgZ3DmHwD1yM
++pFvC6Ofz5/A4I82Mvr5fp2n6PzlakY/XzFYls4DLNrpHmtOtqZzdW5N+vrj
+pQtcYpjfXyFO74PtLlWcwnzXp5PJmN+YXklffzwvu0QHe6wkR7JnNc6vztSR
+MG/aFrQXj8v3VXlmWoh7BxdI0Ndl/EESz1/PzqhVEIgveTzpiucvm9Mew7GI
+S51YekMY5fmQfKxEFsWJzetzljEo3t4YT74v8kRx1bnUoxn3N9YUDqmi+nF3
+7n2v2WcoXxVQAns0vy9WHeF72oq8Klzzt3YXGayKSC9OzKP76X7skjCD+Kq3
+5stmMmDDDzsp5aUEHNvcJteoTQXVc2/Kl09mwdFP13rH9AlYXznI71hHhTt5
+o7qxrXmgwyczQkkj4IqW4kB2aRMs1byb99m1COYqdoVKWdLgsFZgzt/lLWCf
+GqEFvWXwLFl38IRBH7yILy2TSm2FZQbW8vmGVaAr2uageqQfFLrCGgiudsgQ
+PxPSJlELYx3pSprWA6A4vHoNV0M78CXOlI7W1UPgH2fiMm0ADtYWjca+aAeH
+S8vGK43roSVTvHZz1QCIaRQl9sS1geSfv0dep32EOWVJAw7eAXAmST2WX9IK
+liZKX36sqAAJlo93hMf7wLMpaNuwbTNwd16VzTQphdxP448DS2mQxZN0aQVH
+E2wMXPNmsUMBTAmYDJEaUb3sffXa8FYqrOoQVZHJyQKT46c40rQJ4PoiVjzV
+ToFE9ZszEs5kCFz++wnHH/T8r44q4HVkwyj39DPofZ8P9wjA68h8fFMrZhop
+8GpJt+WSXyQodFaMP4W89934xf0b3RTQVL3MtxBDhmBjm8xbLASot0Vl7exF
+49tr+Lq7hAxnz7bHe7ESkMadlXqjkwK2Ce1rFPzJYLoQOiD7txckhLKStzeh
+65uPDTotJ0PT4W8hLMiH7hZrR3+g/K2e57e4fSmKw3vFDY+Q31LNLbj5kd86
+lROX8ISRIDzy8/IulKfJnt58QRHFW1P8Nr55NxKUPxvnvInuf/hbeEQQ+l4i
+nD0i0cjPXaVHrwkhvseumoJ9Ncd3NNIc97ve5ivjPsnBe2n0fsu55vBo3G+Z
+HHSg91u2Ll4riL2Uz7dOEdcpu6tEdLCXIq7af8efT5CvTd+AOMf52wqYpytv
+88C8vn/XwzWIJ/aINP4b6sd/euw/65Le/8jH4pk8iumxVia/x1yXjNvE4KNM
+j/1dxvCYZDfDY8/SGDysm+GxqJALjOs/YXhsYfsmOh+3N+fB/HbZETqvqn9I
+91h7rbQU5l//HqF7TLkt6gfmJs8zqZjv8fK/RB8XR5VD+Dk//y5qg/v5T22G
+6OvsSaum2PH4Xt79+/JuxBtrzydgjw2uYvV1QnyQZ9MFSRTnjdcb/HE/offg
+AYccxJ1O5G00Pon8PG4QporipHT7y0fzKK50duTcVUJ1wVmZY2OrULyJLE6t
+KkTxKQVfaniLUb15dFWHG4rPgKbjGwq6KLDoyH6h2HAysC5UBc2iOL/58fJ8
+0BIqqN0PXXzVIROCfuc2JYsTYK9/b3XBcSqcrHup8/JXNmzteHY9wp6AvwnZ
+90kyTXBRPlCxXboQ2IuDQgQHCMgf+xr+7HgznH1dEH3fvRTkrPwO21bSwNyo
+tSxIqRWWOr+P3fGyAvrJLa0tXP3wvago8YBhO4yPsN5Y8rMWwp5tjll9dQCe
+LrAnBCh1wvqY+blbe1D+K/JS5Ur7IKR8CTMM2tMFen0rxRK2NQGvlMCuk0+H
+oN1ApTNDoQtavm9PrGJtgqCpytMXbg7BqymnZ63NHWBztfVsOrkRLvAKsgY+
+GoTHd17K1Oe1wbYXTw38Zj+CmoglRU58AOY8711+59ECWaEeLe2r3kOVu1Cn
+4rU+SN4g6Rz2qAlkYj8/9XV8Axrb160x2UGD6VNZC0/cqMC6xM0vQD8HmqNd
+57Y7EyBip1kUMkgBzmLLh8KiGWCoIP7iMzsB3QYZO3A8CJX9CcHz2ovbtmk4
+Hn7nT18zRXlXlWzC/OO1ZFhiW6P+AXlm3djSs7eGKCDg3v16r2wGuCyIPHjA
+gep6vXVhGRPo8568T9IuZUBcqkXlIA+qf+VGHooOI3/+dEuv3ZgBz5Iqs36i
+z69m1f1hg3wI5+Z9LzwgQyzn/rHTyIe8wW/e7kL5+ZaHMSvNuMkQtthmhzXK
+3/S7f173QfPgQDb79Lt0Etwq1lG8g+ZBqZ8vL/3C+3OsuNfM+JDgffkVtpUo
+3jKEfS7ifhq328rho2ievWun+gz30x64bHyKvbTIzWsRrjtYfhunYP/0Lt80
+hvsnwuomYTcR171wQwjnaR/J0ztccD0lvbx4G4r/AqcvBXgdQfhHayDuv639
+sTIQ9992Pnj5BPffjjd5LsL9tIcSTznm0XVUh2+Vzv8LPXaJyf2ZvIjJ05hc
+nrm/4jOTHxtgcEKNwX2Z+ysy1jA8FvDYhM4Nchi8NJmHzh/YXKbz4vW76Dx2
+ZhudF4+10z1W//g4Yx2hlZW+Lilc0iKLeWHDM7rHVhc4zmLu8P05J55fImI3
++GGuFpV6CcetSFIpiyz2m7FpC+abneTbscdSzv4dw/PUET6VrXie0vPWP4r7
++Rbn6285oPH6ujvuC+7nK37rePoJcZlHNmbpKJ+/e22L4S7Ej3JrHzxTTYHQ
+DYEfTINIIN4dve40iqs7GToeZ+opsLG4OLuiCeXtL7aUJKI6JZfFKuQCjQKf
+zy+P8+gmg+rm1cqsbCjOtz3i3i9KhcDJ1FOnWjNBVmG9oKc8Ae4RnbzJt6mw
+zCnQcvuaXIhTZEt75U+AUNaOox6o/ipQYL888uY1DKRPKNqj+mvAxVX3uVQL
+5Kg1sRBzZbCybOBT5Z4++PI6elebWxts6ByYVWL/CH+MMojZ0X4IytMfDNnQ
+CTYpBtUjOymgbFrqwtYyCB8ulwn9InXDsUfGpzKetoCK4hsFzUfDcHlXBOXa
+5h54O9R1fpd+O0Rru982Sx+BhdyWsUdre2Dyr31ZuBLKy7Z32X5LHIHAn3vz
+OwO7QZVG/QbmLcAhrP35us8wBD291atX3QHFLgfFa2MaIcXdTyLt7iC8/eQY
+epPaCtHXVxumDVYBe+zeK6v9+2F0b+hHm0PNEHO/QFLDrBS0Bu+4NaA8bW5e
+8lbCWypcOPVn9rd7HhR5WXBdiCfA214swHIO1RG6P8M/iGSC5zP1kmoRAmgt
+bWa4P/C7lliE+wNK/kdmRXH+XMV6ZQblyQVr34YH7iUD/1ubM4koT+a/qnkt
+bwrVa/p2TqFvM6CM1TLqrAABPJMm1+3/UKCu+ppcv3ImrAo8silhOQGdp7dW
+jP6iQOyCdPMkdybIn+AL+ShMgJM4N7vPKAWu+0xeYN+XAaWqUS4pXARInrmm
+EoDyt7ucrS8f+ZFBt/fPTQk0r616sawgvAHlOX3Ui+79JJBPcLQ+87MXdL1d
+cs6jPO1Oi63Y3dskcF1yL2wNqkOv51rZfsV5wsEkiwhXEvp+lAw79L0sTtRJ
+47rDbWUmrwaK8xTZkyx4vs4fSll/FudRfxpNQ1GcU20X+nA/TfWsRWIM4jEC
+7Mva0PPRmDpdLI34yGkf9xTEP8bEbAlDnvQ7bV28AfELNtyh+PP9YSZ5Lejz
+1JjUdPz5/2mP/XOf2H88FvwPj+UxeTXTY0NMrj/I4NsNGHzVDWb/fzPDY0td
+Tem8vpjBOS7zMvppW2/SuVw5w2Nbkxn7WlPOn6Xvr2CVcGXc55Qn3WOOHcs3
+Yh6T/4vusa8H7ixgXrrnlS72mELqysuY7/vB85i+Xilt1CiH+Ob+ygnMVRcX
+vcXrkjR+w/P2iEvt1m7FHhOYfvwWr2d5N0XvJqHx9effkYfXs05MutgMI/7y
+jNGwAoqTW/Nvym0QFyo5ASPIY5fVOrV4bpDgyYCcZhny2IlFHW37UJ1y6sT0
+n94vJEj1TrP/juKw9CaveiWary+npQU6bc2AgC/rms5zEjCaMXm9W54KY4O9
+lacPZkEE20+bgK0E3NVYUSqO3lPzjkMOR8/kweGx27mi6D29M3xQOHW8CaaS
+Z8pD44oh+Fvrb9bzNDBUEtn47msL9DsRztfrPsDzduXbnN19oDHO69HX3A4K
+r8MEDPrqIb1Xdzh2cACuNpm89jXshkdLV8Spf2sGnmsCY8Pmw2A59GeLhQ7K
+H4uSL2qEdsIuy4C7sg9GYWy2NE5Cl4CJt5dcMrl6gGetb+5llnHgurJ23dG9
+BEh3abX2re+BnXtuV1zlG4fVtSGWFWZo3iuRu+xW1gmlxpKNeqRRYJPyP3pc
+vxtSN6RFSIw0A5lNs4nTbBhWSD5arhncDrRwTn/zyjp4vj6vfgdpAJ6nWRWV
+mLWgPOD66aiUcrhbR0ndfaYPPGwMHV9ubIKbXAsLLkcLAd6k/HAYI0DwiG5k
+zAoqhJyebtMfygS/BL1NAhsI0Brwt6egfKb3/vCa/oskWMS5UesPGseZeXVL
+PlSHarw0H0m1JcPfbfkOTgtongosM3q4gDyg6ecUtDET7Hp5O5YhXx20/imn
+LkQFiRXGg2y5mRDRtO8oIUvAyU1XVqbyUeFP4ccO6ceZoLRo390jMgS0P661
+I36j98WYXBculQkFOvove5ehvFEqc7MWyveU/6o9XZDKAMXU3EE7lL/1KKmd
+GmmhgNn+p1cJTTLkUI1MBn6j9+XP6Bc+lOevfyS5530OCTzOfaj4ifK0ONb3
+pGhcFxy9mJ/jSYJdMl/mm9D3ane74o/787Yl2U4JKM41hIwVcL/X50mMzmXE
+F2xS2L1RHXq87O0gXu/4FeXysQfx5SyFI3mnSVAhEFVqgfih632cAuj6IldF
+2XafRXXWR5bvFxBfdSTWkRXxIomlktFnUF3mUi/o+i/22C0mL2byd0zuxc7g
+X5lcbYjBPcwZvILpsXe6DI/l7WXsE1tVzeDcJxn7xJrHo+k81pmxT+y96D7G
+emgGHx/mSfIX6Hzq4CTdY9OWn1QwL3A3pe+vcF7MzYp99dF3NhB7bKBV+wrm
+M80dJZhPjduVr0Nc9OIUO86rK1pYC/C+VtdtXTS8r5V9I+c1vK9145bfV7wQ
+r5GpOreAPKavJV3GhfMxddWV7Hh9PKIsvwaNl+kblZdn8b5Wxad7zuJ1qDU7
+uwzQ/Lgly7JYCs2PD3pzl5mjemFk/EHlBKoXIIumbI/qhZ8pJz2jvqI6gkut
+jDUqAz5uzrmvwUdAX5XzkTZNKlC2SXMf68uCPHMN8VA9AlZs37PNaooKt2q3
+eiY15oPVTNNv0XIChMuo01fsm2Grs9/6HLtS4N0tw11cToPBkqDgy42tsIv/
+A/vNnipQe8W3I9O3HwIcH6vVHuqENTnmGQ+iKeDn8peW8msQdhXGtyY97IHA
+6y0+d3+2gxIp/Ej19AjIqzv9PVxHQHjadt/si8i/1GbtxA/j0Kdvza1OoUGr
++b16VRkaJPjsb5WXmoB9J74U2Y/QoH9BoOzEbho0LrybyEBczmj3e65lNNjO
+/iheA/md8pu1qE1sAqqyRi0Ll/ZCCUUwMnm0A27U1EpxW42CuoR1kNP1TnCp
+rZA90UcBzUDfdXuWD8HL/XJbaZdbIdlS4tib8kpQfeOnZKnbD/lqx31VX6E6
+9lmUcalaEcT/tt3ZaUIDfUXBIVUDKuSYlpnckMgGB35S4EkjAlxHvMaSUL2m
+9Jr0fBGZBMq/evVJyAODUYciO1E+xu2h/oVrDxl6TAou30b5mOueXVy72akw
+9WHQp9s5E7b+pOxXkiCAqvR0qYIsFb49lCmq3J4FFpLbvqtsJoDSsz+uCfFh
+d9r3Q5pZkPG3y+U54qIvi9fOC1IhnH1LwYHsTJBb31qbh7xXxNd7MGUG+bPl
+7irjmQwIKlzo27yUAI5Pp19z9FJARWfKreANGeZs3tD2sRJQyXknSxfNj74L
+Vh0GaH78avP1xjiaH28P6a8YQvPpIpnSvRPXSShvry8sRc87Pphcin2lnbR3
+3h/5itL2Xgeva3DmG5Ho67avY5e4If5rjdpl7LGZHodyGRTniw5lu9m4kSAq
+62bjFbwfeNHVr5GIt/eYplxGnlx93/MQBfHCaBNSHOKSn67xL/MiwTcLnuH2
+f6HHfJj8/j88Vs/kGzkY/Nd/1iuZ+133HWXwi8z9rtEWDI/1bN1P59+amPmY
+HeOcUZxmCp1/FDakc9ulNnTedTiX7rG7UX50zhnoQd8nto7aoEbfj7H1Bd1j
+ej8L2bGvMgoly7DHmnxCr9HXPU0s+jE/lBb1CZ+biJI3lMYe8wwpf4XXi++G
+CE35IL6ukaaO14vlXgyH+SHOvurugf1ofMMHtv/lQ+Mi/15IUw73Vxu2N/ii
+8VV5tSUiGPFF/U8jZ5HH7C657219QAI7HY+EIOSxsPS9lWebKcBVzlliIk+G
+xJntmzvnemG4xPloHopb0buLhTf+zADjN3/WaaO4rdAkC9Xtp8KhpAGRdZ7Z
+8G3zT0V9cwKMHi0My8o3QZHKvaPduwtBN855fmgYzeNXz0g4tDWD053779kX
+l0Gd/u/tmSv6QOoUNyS8bQPfgdqFxFWfQNyivZx3zQD4G+xdduFXF0QZzcqI
+nGiGsxcez6eJDcPA7egz/CgfXNYhurMGPkNja2VmH3kMLmyKJKkt7wPNXxrv
+BO7SoLrkZcCb1RPgp6EuObu7H8q8tnnn+/SDg0kwB3ndBHhnfA0hXegH41hT
+j7CyfqjZqjaRLT8Be1j7d+eF9EFOds9tZf0+WCk4I71rzQRs3CcsH5qJ6uML
+bQ3N+r0g6JUsl/d4HJJLz4eGtnVD8C/hjTmjLRCYcYljXeEw2G7qLXs/0gYW
+2vtlFcifwK/lt/ULnQHgleNZL+naDKWKPSmhYaWgui5/3cNPNPh4NvOoYjAV
+0t8F9Vyl5oBt9Ia2dE8CrHjHl6qjcWGrNkw4J0eGkaVJ6/LRuER8q7qyrYkC
+hsOH11ovJ4Ovv/Kbv2jeyeJ8r5XBTQX1VE3+4JBMeNLdr2G4GtWPcX9YrVSp
+ED+W9H7z8yxYHMgnG6GFvORrfb9ZgwqNP9dr2nRlQVrHCU0qyl/dYt5Y8KB8
+my9avynPPAv+Zm+KG1UlYMm+oHe/OKng8uOD6yOfTDg0TxUQkSJgaQ4pe3QM
+zZtOvs/5j2XAUmnD4OfcqF421nh8BvlW1PLlLkF9MljtWbVNF/n2tsqKVnXk
+Z864djbj5yTYoM922hH5efXNrYfGUTwn6S8kH0d1xIgOKeowitu4Ic1QvJ/2
+zQL7mk1ovl4hUaSB+2ClFjWaGijOR0y9PpPcSVD26ytbFPr868fOouzIk6m/
+BXxzfFE96/rkvgzyZOzEbPQexC+u+ezoepkEVrqqb8yn/uc9dvQf3Pc/+yv+
+sW+/i8kHmB5bxNxfoTHC4GfOMrhyGLMPdpzhsVBZczr/28vg6dYCdM5Rm03n
+WuUMj+nvPkHnX9fZ0fe7fpS/RucUjhm6x2yPzwDmmansHvS8K82fB/vK2c2D
+De8TU3bqu4H5yd3e3LjPaTW5qgefMzp8TFQTe2yz7LJ3uM9p4l2jE4p4OMv0
+NPaYaVM16Qri+z+iSyOP7S0C06V43w6X4Ig+Gt9axcWnVc+hPPOxUeMjxB9J
+Kxpc/0gB2bhC9bA4EjTO9W4bwP2KpmOfo1C8nVe/47J5FxmkxdfXHUHxJqxg
+5TuD6pQTF9giuBQzobzW2cYa1SmNH5YJyTlT4f67tzV3uXLAcSIzUe8YAZdm
+26N/2TXBiwTZM4ofXgE7We+kuwANXHKEZbItWuBrcblha0Y5eAaFhtu69cF1
+8oeERTnt0HyI88/Pk/Uwl1/7bUXdAMy3V8gZxH8GwQ8REtr6bVCuLTlJ0RuB
+C5HG1wbUadDw0ChSQImAfYJbSHmrJiDyRqBEkG0/xB15/9Yvph/Mv4duEkNe
+Ku8JCaj6NACl6UGSrmODMCMjKX1TeQKO3s0OzBYehFsDW24fPjIE799Jzstv
+noCK78snswUGYEY1pPvJmwF4nfAuQUNhAj70Wl++LNQHFEeOuO7rNNis2L38
+EfLk3S6NtjbVXigjP/bYf6wTuDPibFhDRiHP6EUZR2gHjDrc05BY3wgB+T5s
+wccHQWqffCC7QQuEeS3dQfUrB7/xpfw8J/qgSpulKbeNCnWzsrePSeWD18ji
+SOEsAnwjlFicBijwLO7bQUf2DCi4JVMszE6AocB2icE6CiwzawLXWhI4HjJJ
+0JtB82+Q1yMzLir8vJ5+YsEvE4Yy9tXuR555FH6AJ1ObCkOnVG6ofMuCd/q3
+Ypv0CXBcXK2nZUoF+XNXBEwds4GVVyTSy4yAUEeBY6ro8xl87uebx7NAdrQy
+2x99nghQWHZKnArZvccOUBdlAXVkaFOJAgG/15S7NM5SoDDDltgqlAkiqpVP
+zogQMPfJyfVGD6ovIhelfsolQ26L1Knviwh4zqP4p7ueAqos7Kr9HSRIKQ1p
+nUT3//Q695kxFLdeRTbxOj4kcAghtQkgz5QNMs73LeF5Rt8P4C7GON8X3lc/
+Iog+/3T/M7ljqH78pceyywvFeWYI1yJF5Kua+If5n/1JEH/1aJI2zq/9Pcqr
+EI+bMD++O4QE51xjndP/xR5L+YfHRpj8MfP8ETfTY5qjDH7cj8H7mR7LZZ77
+PiXIOPc9xjz3vc9EkM5Tt5TSeaS7EWO94MA5OtdoXSJAzwMTwum8psd7DPOF
+ALbdmIsOH6N7zFB5syD2mILigAH2WOq0yi3MdyYuU8Ye40o8OroJ8basECvs
+sQuvyO/xvhrtyqpD0Xi9WNTpBV6vEcyue3UDccvpyU9zyGNXg7fdxn3gHfNl
+4sfR+C5OiD876IH8Zrz6bSY+b+It8XEpmgfnbLxmJVNJ8OVUo8FuNA86jFw5
+mt1OAZsP73PiHMkgQOV36FhAdbfooX1iS6jwadGqwSz7TJA2Gf5xSJwAnx69
+L3J+VJC7KHA+5XEOVD0zCmd3JyAg98f5qagmeK0GN6I030A1n89b+600OHxE
+nm9jbQvsiG66u9PqAwzm8Xx89b4PeNdeal+c1AF8Vcan91o1gn30mEKl1yAc
+ZC2z8F/dC3WBlEchYp3w/GLYl+MnR4H7hrDO/No+6C0b/ej4ggZem8wDlktP
+QKWYhC1n7AAEHKCyrHgyCM83dcedVZqAlTmyZXn7h2DJFauP+w+PgKGs3IjL
+jgkwt/zqr5k/BLJdmTYtCyOgmHbwfo7GBJw5yDEQ/XQQlq1ez1UCw1D2Imin
+/dYJOPisZzTRqR/un341PJfeDy4HuH4fRZ506nUpcLpLwOOd/vY5/L1w8XrW
+60m3cUiJE9SPNOsCtfUN/Eo7m0AuEFX3yUOwXiI4PhNaYYl0BgT2V8CyfDf/
+bcv6weSZR1q7HnpuK8IGIjhfQc2Z1Laj8wRsvH7MYOwvBa4YTgUma2RCd5ic
+acEKAlbb9OeXo/fx9BXR9YvQ+1h0S7nzGXof+TcfO/51ERU+K8Qte2GUCcI8
+jjwyYgT8KPS5zbGTCl0s3pK+LNkQv0Xlx6VdBHwuFc4sO0QFXQ21a8dfZ8Pq
+2zLH9GwIoOmUxMuYUeFcr6Fm2Mls8Pum/2H5fgK2lI3vslOkQvd5nstZAVng
+FUY5e3gHAf0Hc35uRHna88Ira7g9M2GVnqtMsCQB3x02mP8cpoC7ubrfYrUM
++BujlXAf5dOPdh0fbkL5ZMthmuuUFBl2tvbyuaE8cwrOFLxD9YJazYRRXSSq
+Oywl7G3RPLt4l5YG3kcnfJ4vJRjFeart0ANcb2bYWzjic6Z/xM7K2J4kgXBb
+nzY+Z7qluRy+oPgfLzTvd0Y+VHj6pEkIn3eY5vfpQc9tuCrB8iqqZwv0Fe3e
+/As89t/OUb78h8dmmHwvF4MLMz2mMsbgJaEMfvcmgw9fY3isepLhsX2/GLx5
+B+P8UfdfxvkjcVHG+SPuVj86H+xPoXvsd8F9Oh8tmqZ7rP70232YR/8opHuM
+LYxM37evH74nGHvMiN2Gvm9/z/dxC+wxyc9jXUqIv1ctcMMes/Zqf4P7nzd3
+tFTjc7UdmuIHcf/TqfW5Dz4veeO7SNMeZxK4mNk8wuclQ3durwxC4xggoSdy
+9QIJLkU9iPmAONvRHNto5LEjSay95iQS2PuKuScjj02OOQTndiKf7xczjbhM
+hjcDtFd6f3sh5tXjjF4eKujXyTg1RGTCeN7BIUlpAgyc7zgL3aGCtYQ7obQ2
+F04eWLjKHoDmX71RG6mqJjBzcFEPfFoEn7qtNlvb0MD1yp2gAzqtkPf3bHzx
+YAU86l5p/wK9v7y8V1+khnRCqozpg+U0Cpy812tRLjoEG1dJtH8Y7IWCS/67
+eT91g7GRwLxY4BjoPXkQFsrRDzoKk2mKwv1wa73s761rJ+CyeJdqVd0grKjd
+dOp76DCE3rdocN02gerAVdlNRcPw2kjVe+n2MdjwtuNC4MoJ8PgzZ7F+ywhs
+5D+oc8NuDBquODr494+DrlkHR+K6YWAvaSnmzB2F6JtCdkbaE+A12+XvUjgA
+Jpf2X8ioGQRXd281EZTXkXNUPjXn0kB7k77H7ykCPmqWmvpLTkBU27iDlcJn
+0PqqQzj7tcLRhJX7eaeHgVzjb3vFvA3ut7ddU3haAx1a1k2HWvohwMyU/1J5
+E7gfampcH1gERzXYUpZa0SDnSCZHyFoqmB1OM5YxzALFOT629i3IS2VTBjhO
++Ksui+E4UTrVfwLHyex5WuvoDxTPLKc+rx/PAIE404YMIVQP11lLDqtTQfpe
+SsZAcxb8zGqzVkD1Y/t785ST9lTwUGMT+UjNhuzwvT5NhwioX2HUtwr5bZN4
+sntXXjY0rrm3tu4gASCXoKisieY1hzjr+s9ZUK9OG16qh74376PQOREqfPS1
+tBSvywSeIk6b4HUEHIhc3xU5RYHeZB3lvOIMmA6UH7cSIOD4q7r+wg5UX1wv
+1qedI8MeuUni3p9eOGjo13C1lgLnTmv93fiaBH9aiPg9P3phbA3XHhUUzx8i
+r/qvQfXjK2U+jnDc539TOofPH22U8G/rQc/hkdVfC7x/UuqWtBf+XZFzZjua
+otE8fljvdAX+XZFPrKOrLiOPbQumfd51hQR28SVJ3v+DHvs/nQfPZfK3TL6I
+ef5ogukxcabHlo0zuNADZl15i8E7oxgeK35nyVivZGXs2+cQXkrni2vb6LyM
+zPDYxXPX6VzFYYcg5vkbnzDq2ZoT9PNHEYOTFphvl+RinD8Sraf/fsWFP9nF
+2GMaUXCPXuf69VzA8cnduu2ZCuLay3pCcHw2LuuIw/v2D/k6S2UhvsQp9Sf2
+WIwDd1kk4kbbI3dGIY+lL5cwk0Tj1X1C71csGsfUYDPTBU8SbEuh5bbhfYbp
+Nm8Ea3HfPmr7WA4JNkcZlcwijwU4hVaFdVPAYmQqcdVDMjxo+6YRwULAuk+R
+LkJLqWDea8v2+VUmxA/VpV2UI0DOjlVTJ5EKbPMG7SnJuRBiFjVXG0aAiMvp
+6x9nmmDFpFub2EAx+NuYB8r60OD4RK6scVorpHRdUXprUQW7hEyt3Oz7wUF9
+dCu/VReI8hxxyt/TBLJLaWevPx9C+VnNxYuPkS+Pvzm+FeVl+jxhwisDxkF2
+Sf6cfVM/iIn4JRsfHgDLJRdPERsm4E+zWZjK0BAcP1528bLxKPTaHTZu1JwA
++TRZe65vI5B9M9ou+MkYhNL25ffcHgePPcb6kldGwVatQVOjbgzeb6z4esZk
+HLrfX++28ByBBJfDtTEXxuDvkMnXtopxEBSebvb6OQjspEvU/R+HwXjxDk3b
+7ROQmpRHKyH3wR3ujdTg4D6gvv9QoyQ7AeKeNerWrL1AwC/1jKwO4L9huI0N
+RkH8THsCxa0d5tZorLcOrAPNhOR9RNwAvJw5lsVr3gx3Vtd8oSmVQtup/l+7
+XtNgfsdHfx4bKpyiKfoFPUN133hpta01AV1qoZ8n0fv4qvzThqs3SHBFxmZv
+FXofO39viugcosBHIx7bGPkM2LTcaHMdBwHRbLIh7ZuQr3QebhX1zQL27B/S
+f9UIePUKtunaUqG6z/faVEY2zO86u2Er8pU0m974/BEqfJnO8KRVZ8N26TC5
+JlsCnOJNn6zWp4KWM+tbdtFsCAoUtHhmSADbZGy5nyQVTILFFLUFs2BvTJPc
+FkUCYhZqejh+U6BcMXFNyspM+HD2UsPuZQSEmbulV/WivKuzRW1LBRmGJ577
+NbMScEy55s6vBgoINl4q0R5F7+OGLrfCn71g+iFw7Ab6vi++kq3qkX+OOo/e
+CEDf9/NI7Wu6x57O2nXh/KGUbx322NJ7VsFliOvpBryQPEWC2u4ZBUDxn2bo
+1ViP69YSz0elF1GeY3Xl3Pz/YJ//v3nMn8nf/MNjPEyP+XMz+Bqmx3r+47EE
+5ueZHtuSyPCYhS/jPLgyL8NjOU0Mj42Z99F5z7a9jH5a3x06X1FVRPeYaX0S
+nceYfKR7rHza0wbzF15mdI9FBvuIY48V7C35hj1W2kiNwpzolrmHPdZfqqu9
+BfE3Yu6Pscf2R2q64HNkRzckChYhbummdA2fI/so6OaG98NUxEjtb0YeC730
+7CHeD1MBPJx5aLxez/SwGHuTwHgrTxw+J9JXcGPBF3nsGzVow9tXJNjQobTa
+AM13pdEq79b3oLr73TrKswwyWBYdIbIWEZByxab82nIqPP0qGF7bkwnO5qpc
+JuvRvPwpuwmyqaC5inR8VDgPbosruvA+ICDyrRG5VqoZ5uxWpZqxvgVzTcf8
+mQc0MGGLCXNZ0gaNgRVLBaKqIfbR4b6NT/uheibdt4+nGzJXnlncE9IMKgV/
+3prLD8O1mx2SdptoYBbyucN8JQEuUe8KnVZNwJP3+jcGrw9AWeNbeOs3CIV9
+4tKzihNw92Q8h24jyqME5E1pWmOwb1q50EZwAkQiNo8d+zMKYYdORqb/HIMv
+ugcOlomOwwNPduNjL8agxGPRZ3aVcYhSf22RWz0GRqJ3bMUejkLVVj/XgeYx
+iBT+8VlafxwWabGqxiwfBgHWgka9R6Og7nHy/ZjWBMQFystkRfVDdsKJoLkf
+/aBn21N2Zv0EJJy7/5BE9KL7YKm3fN0NZq9KcicvjkFY/P3a2hsd4KE+4Fko
+3whinyiGh44PwrqasVNvh5pBWD8q/YJaGZz4U3Hfb00frNdrsth8nwpWPB7r
+Oo1yQXyNs05CEAEPbR+H4/NE22ue3itjI8OfDksnfJ7ITX/twViU5/BM+6w9
+4E6GT/LWjQEozxFc9OZFoTgV/FvsiR+Ls0DeusjlhwIBbdamHZomVKjV2V9k
+fRjVm6m3j5SZErBsL/ErAPnz8ybhlOQX2bCwlmU6HflzrumrGWFABbGM1We3
+y2QD6bomiWZEQMG9z5c+rqHCzvS4kXVbs2CY477gFxUCOIcsRwxRnXtM4/YO
+WYNMMOo34Cah8YyyIBI2DVLAeNWUsqZQBvwoKeV+yk7AQGv3WCqqN2P5p8s8
+JMigosxeZILqzZNc05TTHynA6zB3gfcJCTau/TDeiOpNbu2aYPx7RCxapW4+
+p0lAdOm/xb9HdLNF8wz225N+Tvk29L6o/An9hs+JP9/OwrEC15t9K8TenyVB
+a+y0ge+/YL3yP/2xV//wWOk/PLaM6bHfTI9tYHosgvm7iLEvGFyd+bsW70jM
+c0niVnRuIsLwmL6fMGP/2JlxOk9+yfDYV76HdK5mq0g/D256K43Od0/LTGB+
+ln+HHebOAhF0jzU8SpbCHrO+VCaOz1Gul+eLpl/nmlU69pilbkMs3s/sdmIt
+CXuMp/LsMvz7Tnbu5Zc+IF5dPfwHeyx7Pu88Pn9kUbxHmc8F5dW3rFzx+aPE
+9XfSqtF47Qj+MXsKzTtGp6clfuHf5xHKrW1FHnOoe21QVEICHdr6Z9eQx642
+TdncQvPjl4PaquNlZAh9qbYiHc2Pt7ZL1ymg+D+wAOvWs2SBNWefeCSK/++Z
++z9+fksFe0rEZIpHHhzIbhKJjydgGBwcnuk2w+Zt545lf38LvDnkuQsZNBCn
+cu4It2gD2dqWW5+SamDK2NJxeSuqp/a6io+mdINV08IO8r0WMLkDrJFRw+BG
+8XP8fJsGandjjz0oIECCUIpMkZgA2pc3u15LDYLQAOdgpvsQyLfkq7htnoC3
+Idmgc2sEHKfdSrX8kK+6/Ycii8aBvPJzxeO+MWiccTspjnwU3d8xLpg5Bj/t
+n25LSR0HNvEzt9ZeQ14jRO9nHhwDLyXlTrtIVGdajN62XT8OD3VBa3HTGJj/
+2cWpxzICPmE5fyL2jcHEge+Te34jv31M+51pPwCiaZuOyWoOQqNxqzc/8mrt
+1Mj3znQCfGgntuZqojrnnq+VzH3kSyFNo9g7ndB/bGmmyzSKF9bN6uUSQ3Aq
+I9lgr18LlOT+WbRE6z2culb0g3azDwRVxSqVWpE3LPNK6kXyoVvHQI41kwDx
+lHuvZwgKVF0ebYhtIYNd0e+KtMUExGWej9qP8pkrm3/83UigPB8IYT2Uz3CR
+I08+4KaCq+AF+9ZrmXA4Kbtq22oCQvNp0Tu0qSCYx10wO54FMhwjh4P0CdDO
+rTj63JQKLPz72NWcsmF5bEvHOzMC4r0dBs/oUsHHwM56O3c2NAh51HruJqBi
+aPAZixwVqIdKNCK0siBTlP9w5WZ0nbs6NwbZ0P2fbW41sssE9mK/yO3iBNSt
+PLjcaJQC2fLxDUf2ZMDTxAy2q1wEBFWuvMzRRoG0A31drsZkGC35eoQ83wsv
+znfVhqO43Vc+Pp2P6s2vtzRS9qO43aftLVKO4lw4NOSUAIrzX/dS/KdRnCu7
+JFJx/WKX93AhB70v839LxPH7orxmbdM9nIfcDLO8jub9y2VjzyX+BR479g+P
+BTD5eyYvZXIJpsdO8DC4ItNja5i/z/Mym8GTmB67WsDwWHkSw2MbVjE89ohL
+hFG3rvrO2L8hYEzn1C/xjDyNI4LuMeIYmc7DslzpHhNoUHfAHPre0T1mbrxP
+BnvMrr5kJ/bYxoixGMytab6l2GM1WtNlW/G65AxrEfbYc6kbqdhjBVpCh2sR
+3z9BO47nF+Hk0vp4xA1UDoxpII+t+1hVtRaNS46tUl8HGt93JssjbS+RoMNE
+ZAcbysN1B6rNZOsoEMY7GdZfRoLFGxXOvEHxoBFQo5eD3ovkAXHnKQoZEu8O
+HPZB74XMFgEzrtVUiOZtlWVblQXb9zxrM1JCdU3R3ttrP1KhKYlFSuxdHjgu
+lky89YyA5ugl7eftm+GIDTUxwK4U3j8LdM0up4GRrlPbfGQbbOs4cqrn6kcg
+T6pnHGUbAKnylwdeyn6GFXYdTiJurTC3t+xI2sQw7KisF6jtpcHdftmQ+B00
+sFvxaMBfagJUvvmI2sQOwjv2yZYxtWHgfdnns2vrBOyxYS97LTcK6doToq4Z
+Y/BM+2FNo/c48E85H1zydBy6rO4smbwyDo26pyyfHxqD9uHJpcVeE8DmenLv
+zZpx+DIk3+L1G9V9Rxp+bHIch703X/M8OzsOr7xjRUe9xsB4WvJ+ZtEIGMgX
+fzl+awzEe7rv9CIPakefkfrEOwgadud8dpkPQV1CUAEL8ipv/UBS7i4a3D4o
+3cepS0DgiHzMHMon2xr2hZ4I6IJZ+1tNHXea4GHuogfE+yFIdCbNZXO2wuve
+h3UGchVQFcISeedLH9wDCf8qsSZg//Mz7ttoAaz0mBYO7iHgaBJ/QMcPCugI
+qZ/dNZYBvnne5slCBHDtGVv8HdVf4dYJbAmo3nzd4VlbjcbdgD9Es3YW1VNr
+WztXCGXCPj3WjFMiBLjrH56fVaDCzcq+4MWeWbC1ToTDAdWbUxmev3qRr9RD
+RlOs+bKhs7TvZQXyFW9i0QNXDSpE1MUvutyeBRqSzedC0fdzvWpk9UWGCqId
+j4fllLIg3tIuxRzlY5X3HsdwsFMhYPyIrqxTJrBE5L9hlUD5ZLJZRsc4mk8J
+jZYVZzMgfmWM4n4eAuSmAl/noXzytuVNrfxzZJDNOf/8DsonT1De8UTXUyDJ
+Pcmaq5UEHour597O9IKSp9uZQfR9vYd9FvdfJ8HpzhIdvA8txMTvWjZ6L6S1
+SjfqnET5yUqBr1twf3j/r3F8LqZsPuov/l3KVakSet//H/rq/2+f/z8eq/6H
+x9b853eqmR7b8n/4nbGotwyPsYpY03nLaobHDgcwPNZzfo7OOR0YHqt+nMLI
+D+e66B7jss9m1JueaXSPuQveOIG5Wcw43WNPnf1lsccKazcdxR4zUPV8RF93
+ONnZiD02HP84dxvmb9Sq6OuVuTclcJ7c7XyDin8XsbnreiH2WNX7idv4nFoy
+xVTRAXksh5pRgM+pJc+8nxlGHmPfaH9U0ocEkYcKJPjR+AZ2dOY7II999My6
+bFhBgseJo7uHkMe+STzZmUSjQPO1IynzPWRQ/cXNuYaNgLXzrrSNqF6oyTH6
+2aicBWnPpwb9UXxmWMReN2pC9SZl28UUlnyQ/uLo94tEQLlYcHShVzOU3Lg6
+65JRCsc9m2m8TTS4dWrWfryyDSgi3KI+ap/gSajAeK/8ADwmjio8DvsMkoUu
+u81Wt8GwXsbyfVtHwLhCo7VUug9Sur4X/U6gQePklR+/Vk9Ai8htBzWWIfBd
+rWnv2D4MnUJfDoRvn4AwFbuf6U9HYZ7ouXO6DdWVBpcpxTrjcI/3V/gK9P8T
+FBcF87xxOK7S/3l2+RjcmrkoLSH5Be4/pMz9fwEEAvv9WwLtP7WlDvJ6sOo/
+8jZW9lYL7T/Nm6y9uqbsP/pziiyUK+s/WlGR7K9W6j+RjgeRv7/rPyHttfHi
+Yew/gYFBTWOc5j8NjihA/DjoP2uIf7ZGNe0/cDQE/ZK04j9X/jcakPLhPzvl
+2cl7Hu0/bFTT77dN3T+yRBDhVPnVP1dayNSWVug//MUsjC+I1z/+kuwpmuDH
+P9uOjuUpSOQ/9Q358UNc1D8CbYcdXbK5P9BcZpyJDeI/ZO7/ap8M0z8Od7ns
+/pOwP/vOv/OkIeE/8zpsCm/H0j9pgGaGlWWtP0+09oEE8eA/ZICoXqrr0j/8
+ifbcj12vP45nYk57CuE/95Py0H4c0z8X2IWIYwKxPw3VQ8DMLOE/1P47wTg1
+0z9UNpS/W66xP+4Ij38tPuE/aVsv84oy0z9D6csHupuxP8nt5YFLPOE/eSfe
+rKwe0z86Q/dlixGxP7Hn+tFULuE/srPSADEF0z/7zWTIT2CwPyR/ROprHOE/
+sMDTMfft0j9aQptSjn2vP5X7cyMZDOE/MFKvV4Xc0j8s3VwJ54quP+RQpH3W
+/+A/caAIPUXR0j+znjJAae6tP3qwy1Lu9+A/qTCgcQvL0j8/zwHTz5etPz17
+GTCO8+A/nf7d1DnI0j+TE/1PmnCtP57H+geT8eA/MAf0oV7H0j94GYtKsWSt
+P89j1Pn48OA//zUnlg==
+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
+}, Open ]],
+
+Cell["Intensity of fields 2 and 4 for counter-propagating case.", \
+"MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->304022153],
+
+Cell[CellGroupData[{
+
+Cell[BoxData[
+ RowBox[{"GraphicsRow", "[",
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "2", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "2", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", ".5"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".5", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".02", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(2\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}], ",",
+ RowBox[{"ListDensityPlot", "[",
+ RowBox[{
+ RowBox[{"Chop", "@",
+ RowBox[{"Flatten", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Table", "[",
+ RowBox[{
+ RowBox[{"Evaluate", "[",
+ RowBox[{
+ RowBox[{
+ RowBox[{"{",
+ RowBox[{
+ RowBox[{"t", " ",
+ SuperscriptBox["10", "6"]}], ",",
+ RowBox[{"i", " ", "h", " ",
+ SuperscriptBox["10", "2"]}], ",",
+ SuperscriptBox[
+ RowBox[{"(",
+ RowBox[{
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Re", ",", "4", ",", "i"}]], "[", "t", "]"}], "+",
+ RowBox[{"\[ImaginaryI]", " ",
+ RowBox[{
+ SubscriptBox["\[CapitalOmega]",
+ RowBox[{"Im", ",", "4", ",", "i"}]], "[", "t", "]"}]}]}],
+ ")"}], "2"]}], "}"}], "/.", "params"}], "/.",
+ RowBox[{"countersol", "[",
+ RowBox[{"[", "1", "]"}], "]"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"t", ",",
+ RowBox[{
+ RowBox[{"-", ".5"}], " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".5", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}], ",",
+ RowBox[{".02", " ",
+ SuperscriptBox["10",
+ RowBox[{"-", "6"}]]}]}], "}"}]}], "]"}], ",",
+ RowBox[{"{",
+ RowBox[{"i", ",", "0", ",", "100", ",", "5"}], "}"}]}], "]"}],
+ ",", "1"}], "]"}]}], ",",
+ RowBox[{"FrameLabel", "\[Rule]",
+ RowBox[{"{",
+ RowBox[{"\"\<t (\[Mu]s)\>\"", ",", "\"\<z (cm)\>\""}], "}"}]}], ",",
+ RowBox[{
+ "PlotLabel", "\[Rule]",
+ "\"\<Intensity (|\!\(\*SubscriptBox[\(\[CapitalOmega]\), \(4\)]\)\!\(\
+\*SuperscriptBox[\(|\), \(2\)]\))\>\""}]}], "]"}]}], "}"}], ",",
+ RowBox[{"ImageSize", "\[Rule]",
+ RowBox[{"8", " ", "72"}]}]}], "]"}]], "Input"],
+
+Cell[BoxData[
+ GraphicsBox[{{}, {InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdmjGoLEkVhp9iomJmLBi5RgaaSofGq6nRghoqGLliYGBsYqKGO6Yb6CB7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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHf8V2P7wD/nnE9DqaRdSDIqMkNmZITsEBHKLlKkSEayIqth7x2ZFUmI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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJzE/Gk8lP/7P3BnKcqStNn3JMkW2cohsiSVCKWSyFKKlKWyFVFEWqRICMk2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+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(2\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {192., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}], InsetBox[
+ GraphicsBox[GraphicsComplexBox[CompressedData["
+1:eJxdmjGoLEkVhp9iomJmLBi5RgaaSofGq6nRghoqGLliYGBsYqKGO6Yb6CB7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+ "], {
+ {GrayLevel[0.8], EdgeForm[None],
+ GraphicsGroupBox[PolygonBox[CompressedData["
+1:eJxNnHf8V2P7wD/nnE9DqaRdSDIqMkNmZITsEBHKLlKkSEayIqth7x2ZFUmI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+ "]]]}, {}, {}, {}, {}},
+ VertexColors->CompressedData["
+1:eJzMvGk41P/b/y9CyE5I1hSFLGVpPaNSEllKtkREGxEpRPaQaBGlbCVKxl4h
+a1mTMGPs23vseyGypP/rPeN753Mc1/H/XXeuz/dWx/E4ppHmfD/O8/laRuL8
+NcML9HR0dApr6egY0J9uGPOQURURztLrsGyyJUBBwKFrP3/0wv8Vt/kH91nl
+P1d52Sq3oNB4CweNmwfS+JtpGo/4SeMND2hclY6FyhmjzahcU+8wlfOtEaTy
+tmOyrDh/26ZH5R8e1lN5d5IUH84fd9ZTudKy8RTOczK7b1Pf59bGGzjn6VLa
+eQpxJWKenDjipUNfk3BeXaF90Bhxg8aM3H2IyzuR+WcQ59CvodggHto1a7GI
+uD3vSuoy4hgl8HMW4jt12x+rXCLAxmAWu50/e2HR572IYg0RBNZqCix7EUB3
+6KzYweleIKs3Eb3ridC+P/9SHpkAn9Tfz6bP9cI1X/XEC4NE+Hxsr/BRvgyo
+JlVdqGLCIJYt6PG4PAlcq+w/xnhmQcQoOXD9bgy87vcT2SdJ8CTFdHt7zgeQ
+UlR35CvF4FuEn4XPWzIUS1Zs/XuuDKYz32oWzVMgzNthaXZDG/jzum7X16mD
+EyFGL65aDYB/G+v63wPd8OJWvqpsSStonqpm8b8xArXFjQNDan1w/Y5b2OMK
+Cij6d+33kJgA+Wd+lDW/BsFgqF/rXNUw6Nu9GdBRm4B7DiqJJ51HQSxc/WpC
+9RgoBiX4/zo9Dh86Hb9JLI/Dxh+33d8kjoPK7zo9W+UxCJu7JSEiOglPnhEX
+zekn4P1rjmmPzFFYttgaEZU8AS62g7I+7eNwKJ6Bj3lwFFhPtkwxtI/B1akL
+riMHx6Gz6+3ms7ljMNmeNuxxdARuijK36F0Yg6zPBD6bjnFIXie3ZvOJQRDl
+5jnGljcEJUeKz17fOQFz9vDq+c0+OJ3+KGxCtg/4FhnpJyUnoHppRuJkTS94
+bvpVE3WhC8ZyhGoyjceg/ZzdsUPxnZBzXYaL7msTvFCeal/sGALu4okNbXOt
+oFLwqTGl4xscqPJ60qE9AKXzPSdLLJvBhGH81ZHmL0CnPj0hin5e0M27qrHx
+6O9PlZeUB30C832XZ7v3UeCYnm7u3XskWK+raZrAlAtMPJ6czR4YeOQ6logt
+EWEk8Km8zsZM8Hf7Fm3Cj4Gw+dyGE6iuem2kdvreIcC+EctqI1RXzz00E2Ya
+ibBZUG+WMk+ApIFAysXfvfCnkv6dxSwRorN89O82Z4BVQOPvaC4MxhcIvjsF
+SCCm/tbtYVcmrN+RsptvGwb5V7yYvGVJ8MmwZDzzchZsa61dNlbDoFMiur9S
+jgTudzfLJbhkQZiBp+gBdQy+8DJk3xElwbgL90NDriwI/aOmorIDA9nDnXcW
+mEkwLMu5+Z1LJnw8ujvVShSDdU4MPc9+EOGQzc851ZcZUCY8pDfDjv2f+ep/
+67GRf3js5KrHpFc9ZrTqsZyfNH60n8alVj2m9GMdlcvnmVI53SGax5oFBaj8
+Sqoo1WNOqjSPjR8op/Ltm+/y4lxrqIrKmUy6JnE+SdB0w3n8YrkrzgOTv+3A
+PfZI+8mUGOIrArmJOGd+ByK4xx5s1Knbg/hTaZU/04gDT/3P84jf9Pt7eALx
+X0GJa3CPVTTbyaYhHuWp0Dh0kQDfJvbcUkAey4nSvMiL6i0pIKbs6m0CCLYJ
+TsuievNQ49/89zv6f+O7ql/9nQA7vl5WO408tvkLx0H3fiKImT5XCFpIB7K1
+sKkDI6ofBjt1T2kS6Gf+fVyrlwWb2iKMA3dhMHTuNPeRDhI0tAinqCh9AA4b
+3ZrebAyqLfTditzJ0L7j5bPh/FIwfq/JLddMAWfSsydYWiuskxW3cGqvBdYn
+Mv49/AOgFFIldUegG3Jl7E/LmrTARsWFZLv+YdAukIhn+kABgSfZqgOzGLCt
+e68ZIDoBabpHfHSUBiHw4u+M0bAheEJ8+JGsPAHGJxMivO6OgOp6LrMUjzF4
+ep23933xOLyRS2thHRmD9ISHOuNHxkFa9VVBImEM6Fk/Po76Ow5evCeC6l+O
+w/HgkIkWxTHYWhyZmBU3DmZjzoV3/Mbhcoh74EGLMbh70pjz/toxWON0Qb5g
+YQzSNkr3r/COA3d2Yf+97GHotmW9k7RzDFT8eWaE0b/TOGx4h9PEAPhsV27o
+ExuCjz3mudpKE6B8YJakbNQHXiG/njn8pABd4rtAIeSxXS7Vdit1yGMNpcrY
+jS74MFHho3V2DOaWDGqE+zphz85DO+eBDGGMW+Pfsg2D61TC8f4TbTB06v3d
+bqbvMMWmH3wqaAAObZYtkU9rhvGgJxYhfeVgPaJgEkroA+9vJYncLU1ADOnN
+cVlXBGW9FSatNhSws2dVKE1Fn69ym92Xnlwwtj2kWfUAg0f0lgLHkQfyK0YU
+hhwzgZ2h9/yACAbp4gEuXV+J8FJjHa/+E1T/JRJdDjO9wO5wM3K+gQhq63LW
+KY0SIF87qPjjfC+Eqewe4Z4jgkqZo472ZAasMTc/UsuNwWJG5chpERJY2y77
+712XBYN29uM28hiYrm03WtlFAonCHbYVaVnwydns2toDGMyND50DNRIklYu9
+v16YBYHSln+eAQZKJk7VCag+RV/WEBtOZgFdT0NhPKrPZb7XyZc5SFDxzan9
+VkIm2Oz/kDskiYG76GEGWeRVS2e5uCZSBhBnunlucP37Hjv/P3is5x8e01j1
+2Fl2Gj+26rG4HzQuQ6Zx6wgaX+iieaygwITKlVRpHlvi2kDlSqe4qB5bua1L
+5RcvfKTyULsmHpxb9hRTeeRtI6rHooQrHHF+VcCW6jHOA6RtuMcqztum4h7j
+lVCJw7l6Ucqv04iH/7qfrI64Z4A1hnssMWUOs0a8eXvanW58roPHmkuI97u1
+9rxG3P9j9sEHyGO5j1+wySKPfbjOKzVTjfpjYvnUOw8CmFaWHuZHHtOwER2/
+hjwW88Vdna6KAOfldB/8+NULmUl1SoYU5EkLBoEnHelgMenCOcqAwUXe26Ha
+4iSwfR7V+nlTFpgvRCy7KWCw98G0sUklCf7SL7Kkx78HnfAwRrkkDCJvHNif
+epgMso29j8+sKYWFsyKk7kwKyCXfWDiq1gr3j+w56aXxFbRSjRfUv/TDYc/w
+9A07u8CLJ9yfuZYM00PV0T2HhqHtqcit51spcFqHdYcbBwbRH1MOg/AExJns
+vuBgOgB6h7Q6eZUHoWzu2MiIPPJGfnR6dOAwNG72aEiWGoPl80pxgPz2+HP/
+a878UTgPHan3e8fgQXv4mwaVcfDDnBcvl40B0VYt6r36OHz9USd7vmQMMIXg
+/BK3MSgwyJOpFxuH6vK4GjL6e2JWfNG5XKNwIi3j6KU3Y8BmduXvPt9xkKx8
+WzwzNwRlT1r0Gy+MAuUE02H5/ROwVV5UR+jGAGyaTvoQYjkIdKQVu3s7JqD1
+0gO5sxv7gNK53XxTFAUIG/LJdeITEO21botscS9M994WaTvQBVNJmb+Zj6K5
+0S90fSxbF/Q2yYTZBpHBZDEIJGSGITRNhuH44zaoNT95Jm3pO5x4sM7m+8cB
+mB6ohc7pZsglhx8+1VYB2W1Fpmo9fXAvlbMqmJ0MB2tCtmn4FwMh0LJQLJQC
+Yp2MdBW1JJAMieG8WPEeHEXil5dSMFAZ0rj/ip8E0Zz29TnETIhi/SuxJI0B
+Q5mGpEMdEczEgv1/5BHgkfyujD2ofnrfWDCJoDnf7cLt9RcbCMC/2KB+GfXH
+Nle3GflfRLglbnpxEMsASbERDlnksbSTUuuaxEjQOqkX+VAoC96ZW9lJobrK
+jsw6/n4PCVbuvVMMaMoCuRti8es0MXg9WDn68AAJHBcX/p6bygKNaT6nksMo
+L8RS+rJ2kOCZH2ntvE8WmhNclKNRXuCEvrxJXhLE/ebKJldmQsuFVrHqrRgk
+29oxZMwTgZwaVHSWPhNeH/WJmeD57/PYnVVO/ofHlFY9dns9je9b9Zj9FI2f
+KKfxoHAaJ9TQPOaYcIbKJ6VpHrMf46PyRCs6qsfS0k9QeZ3IWyp/UcFO9Zhs
+cy6Vl98umMD5mxFXO5z3RPx2wfn13yelcI/1Nr4/i3us9MjpGOr89qGlBvcY
+U734EVXEvSqjPuMeE5FOfm+F+Kt8kx3fEZ8n+l1bRJzNMmcyDvFd3wcyFZDH
+0iJjt29FHjNjfJlQjzxWK6AxU3SLABij0sllxCVnrsYRUR2ayPpJuxYj7xUb
+0/vhHpMWhLkeImhndx8uL0iH1J6rzzToMfi0vOX9FUESuFX/rl0/mAm/b+cm
+TaH5/z2d0JeADBLI7RF2GKd7D9u2CghKRGKwh6utbYiVDJHOy/QLTsWQ6fa5
+ViuYAspOLs3PPrbA2sevIm8HVsMBY7eG25f60e/7rSNxbycskYrWVmxqAo9W
+aatfT4ZA53Dx1pSzGPwM/dh9/VIPrOcLStslPQ6piqaLak79wMPjqGP1qR8y
+RcWHnspMAGNom0Cx4RBkcxX4Lp4dgWKj71OOuydgxkYg+Pe1EZD4kH+n/voY
+1KcHHIcaNH/pbj2+234U+A7/PnqoAs1vKy52HmbjoLW+8EeQ0igoqVzdb56D
+5qE1z0uDr4/DLqtGUs/fYbjy5s2Ig+4YOCffs7m5NA47Rj8rmfINwdNHxT4F
+C8PQNVpdR68+AY1xZcsnsH6IfKR4gtt5AF4k97bJyU5AifG9N+JfKaC128tN
+iZ8CbG4sjxfQ/GYxpCxB96QXNjhxiWRmdMLfPPtN29nH4P19hv2bOLug/sQB
+VvcwMsR5Bl+I2j4M6XNTKsllbbBwRTuo70U9DAxu87RpHYDH9vf/esm1QKtU
+aHNRYiXMaqU65TH3Q5ipwgZuNM/Jc7zPKukoAWMia/RUGgVkHY8WFo2TQNoh
+Ozsv9QNobbXeLVOCwVO2L/U1W0jA9Vtfg/FQFri+pXw6tRODu7k8TEdRfuQo
+DeX3mySA+OKayCk0d7U1snNlfiNCYO2bB6npBPCtSah7P9sL3FNJ2pE/ifBL
+rU+NmJEBf/k/6r5CfSl/5oEWF8qDWz99TdZhzwJmo6TBQTSPeee3R73dS4Kw
+0Zua0h1ZsDhFZ5CLPFYU8sAuVYMEzXO1b4bWZgPLBn37cS3U316fyypRRq/X
+vdYuE5sFV0usHjvtw+DwkWV7Msqt3zVs3eaxTHi87T59EKpbFWeh10WLRDBo
+uIolCGRCWcyO17z8/77HrP/BvVf511VeusrFVj0WwkbjSqse2zBJ40tZNB5z
+n8Zf59A89svBmMqvC9I8to7AS+USfFNUPvpdh8r3Jj+j8qQEVW6cm8y/pXK7
+ZT6qx243uJ3F+c8DAVSPKT00F8U9phqLseIe6x/aEkXNp6ejY3CPqcp25+xE
+vEvfOhH3WMEH3evnEJ8pfvuiEP990zTDFhBfU5BzKxrx55liI1X2BNgcB+Pi
+yFeWPGbBb5HH0jdFc6S5ESAhSSEEQ3z9Mac925HHXLROdeu+J4DFdPRbNuQx
+U9Wszc5dRKjmWjv1ITodmC8Jqd6mw1D/6whj4SKB33Klc/G7TJidkdNlk0K5
+wCRgGqJJkNJs8E3SJBeS+t+85fFHfZDl5mBSXRO4jYubDlUWQjTZNEX9LAXC
+zF/u8VZsgS+s+yJSMiqB7kXR0WDWftjII+F+WrUDdoUU7XY2JoKUYHKufvcg
+3JWV/KJ1B3mX8Xq6lG0n+AQQphImR+GKZ0nGK48+sEt+5PxNsQ8eJrLn/EW5
+bOSTUMovtkF4secmZUJ/CBRNOkhLKMcRO/v27UM5zLGMV+Vi0Cj0nHJ/9QrN
+S5YZJjJz88Owk7ff/uvxMZCOEeqjRznTt1W5VJA8DLff72fcDmh+M9rklsgx
+AY76LTJ/KoagyDc+f4vAKIS7sQZw7puAjjCVU238g/Cb4+aTRqshaIooCVVB
+c+C3h7tLbZX7YU5O04TVpB/a2UBAUXoCBMNOzTBaU4DY/6Xb4CrygtgOhchN
+E2BKXFuD6fWCXBnJr/1TB7SbzRXEpI5Cps6+/pX+TlBQC1WEQ2RIZpaX/rN+
+GGbZPhxPqG8D2+1eMt519bB9gqCkShmAjZ+uft1p2AJK7o/8e6WqYL6Uec9u
+yX4Q5HHfN2JHhlkm1RuOt0pBNy7L4kc1BcQnuE7wsDWBfePYs1Svj7CWUX+/
+exPKayFvDLpVSXDM4GZWfX4WSAlsrzqN5zhTLXjSTIQdsfxleurp4PS6e2vq
+EpofTFiXlFDe7JgRml65h/q+2x6zX2j+77r6dun5GBE+svOWVFlkwJPoKSVn
+Vgxc99P5LCLPRJMvX1+gZEKClQtfAvLMIZ8T0rYoP3KtdfC5XpQFV2pimnPQ
+zx21k2tvABIkDnHJsv7Ogq5rBVHxR1B+fDLxlH4nCc6G7JRdjMsC1oC6p/HI
+Y1+3gZaTEAnK8h6vlZjIBB67kork7agv7yX7ti4T4cHD2vjDWzOh+9Vfi/AN
+/30e81rlxau8ZJWvX/VYMOvqOth/1sfGaTw1jsYTwmjc4QXNY+tlT1O5xDqa
+xxbO8lC5X08nlTv2HadyXdsQKqfcPsWF8xOhcVReqWk/jvNrRkyncH5xKyvV
+YwVFIoK4x4w2ceWKIt4x9fkhzt9tlbqEe+zKT6a1SogP6CV44x5juewpbon4
+yZY4jVR8HlvTHPcb8QO9NZkRiJ82nCCYI49pPDrpKox8daTTAfNFHsu9R/EJ
+cEWv76R/V4H4UvAzfU/UN510qtq+vUNzmqbmpweobx7iN/RpaidCY/yHY+dd
+0iHWjUs7eaUXjmW07bBkRh7ruzp+/Vom7G8p950RwWCgIMlE1ZsEf3b5htCl
+5sBNvtAJd2eUFwZe90SHN8H2UUKdDdcn6B+TeTSsSAHLLbVun183Q/gxtxHV
+unK4kvncgfltH8QsfVoTtb0d8hu4kgcDGuDmL99XmyUHgd7jpNMztR7gWLaQ
+3KjbBiWueT+x9BFInf9Sl3aHAvx7bkU+jMVA5KEv91GRCbiy883en0VoPpN5
+91pDfQCI+wrvWG6fgKihoX7eO4PwqbLKop9lGOZtgt483zUBbSdO+p22GYJ3
+GbzjL2+NgKBg5Zd6NL/dvtB/f6/eEMwODnp+Mh6BY2eGYk8h3uB1PO+X/SAI
+fq/1Kekfgsj+P0V86H14gjVeXlgzALfdg7a9ShoAZjnD7cNo7ppJPdKfeKUP
+QlMfl2QI9sGkpY7oG+RbpZ9j4NuAnuMbpsVXbvcCXcUxLKl6HA4vnPmsSu6B
+J6ficreea4c/KyndKSKjIHfzWnPP3U44omfgfzqxCfzDKA2htUPAUpp5+c2H
+Ngg0PPYu1a0eig/Wj75tGAC6+UvWFWdb4DpPu6GwbhVIJRe9NdveD4ReedGd
+PmSIahcRO9dQCu+st2h9aKfAhQnsE2FzEzzVziJ8l8mDOo1PYeUDGOxIrxT3
+OUqCubLWS7fls4Hst6DCpIPByeFFgf2o3114ZbBMiUyHyT/sL8+gfsf+/jpl
+P6o3g/uPMolOBDCq24k9QfX2+hc7L3c/EX62s4t2zaRDOn+7hBQjBno1thzK
+HMiT3I37p+IywSpCbbJEEoPKDO7EbSgnHq54dfqQVxZ4pDs7qqGcOOvDOj2q
+TgKNTe8cuKqz4PCFLK/KgxhsbIx8LKRAAm2ZjVur/bPAQCiJuxe9fqhBaPd+
+lCO2vRL0qenPhEvcexa+I0+eeU9f5fuHCHPGDyld2zPhezz9KUaBf89jN/9/
+PJa9yotX+cIq92Wh8Q2rHjs6RuOzoTSeeI/GywNoHhvCjKjcZ57Gyeu4qdzA
++CuVE2a0qVyx8xaVY8GOnDifGHtE5WGtH8ZwLnTV6TjOx7eFX8d5Y0gNN+6x
+SFNmC9xj3/fr36f6M49XDfeYiUuSzg7E9WqczHGPNVxgqbXA9y9CZXOjEW8/
+1ZU+j7jwNpGWu4hfrE3znLQjQOOPvil+VD+dSc9mTFFdufhQBE2vIx++pXv+
+FnGXtJmQ2loi3FGrJ8NLAiznFyrxI4/1Oc4yqLYSgVl089SMXjo0vorhrF/u
+hcW/kh+zVtBcyttSIrYzE548svrRjj5306s84eoXSGCj5H9JcTkb2Hft8R45
+h4GuzKfK7yebIKY4KifPPB+42iv2VK+lwMwF8U0Tws2Q8PiQ39DEZ/Qs9/jJ
+HOuDF9vNGSQk2kAgaG9khmMdMHrsK31kPwBVhReadG90wasNdksyB5qB70cE
+y6XrwxAlcUn1gAkGmAZz3UvjHhicebTwTGwcrqhuLHju0ge6Ak0Xfbb0QdXs
+zdRm5A0+0PH1mOuHFVFGWcHHA/CsbdT5DfLMOvYXrIylAxCzTX/vaPMgBBXv
+TjqoOAHT86eXm/IGYKFre+XZ2kH4EvkqawPidRHKCQ/pB+BG7vXtgckD8L6F
+d80Uep9uVc345Z4+WPfifOFLUh9cnlvZdnLLBGQNL4PWYwoonT6mzlmEwfnd
+1i75yLex1taNp/DneE3pGX3VbojpcRbhfDcGvXt8/a43dUPF1BXe3IRWCDi0
+N1z50ghkh5fX3p7vAPn9vOXHkkmQvuRRx2U3BFKV5PhvLm2w+GyDomz4d4g7
+eOhzWuIALKuSV8R0WkB0/j734fVVcLyrrBdE+mFzyB65xSAy9PiG5f4YKoXf
+9kaZ7j0UKJRTKw/Z2QRhVsyYcHQehC9lLY38wGDyK2vIzGkS1EwGef95mA1u
+1g5KO05jMHNz188q5CV1tXNV3/6kA8+gUUoS+n0MXt5LNkV1GG9D+nMF1Wcw
+4Yb7L1SfCuyfZ9g6iRDtohKgF5AOTJHS8r5/e+Hr7rjO2TUkqOveJt6gnQmd
+ql59WzZiwCRTfopRggQRGeYjnRJZ0D75bn5RAYOWRVeVWHkSyI9iedfds6CH
+zF/cpI6B2kuOeFVpEqx4H/WYPJEFHJaHxU/vwsC3VFmch48ECzNvx2urMkHn
+wcs12FYMvL69tTuL5rHj9QaO45IoX4R/b1H7L5zHPFd58j88NrTKvdbROOuq
+xygjNO5/k8Zfh9K4qwPNY0mxhlQuMkTjm/M5qbxeMI/2/sw0j5W+uEjlH++G
+cVDnOp+7VP43k4XqMc4eZg2cc9zio3qsKOwJG+6x9RnFjLjH8hVmg6nrcif5
+mXCPGd7f8lIWcb+2Nbtxj9096ORljniufs/jQDwv+10sn0O8hsCl4IP4QdEP
+S/7IY/cWTcK5kK/SCW18O5HHNsrev7IP9ceAXj/tcMSvxG0sF0ceG9r+4NLv
+pwS4w2MlFzvTCynd8X/ekYkQtK9W6aUsygtuXmpMKC/03zSu0Z0jQncJq3To
+zwzYUyVi9osbgxfDzX+EdEkwWJjX6HQqG84rzv38pYfBrvoPRWa8TeBHbyWq
+9fEj3Jbx9tNpx6BAVveifzQZjq9gz50lyiBfM79NcIwCw0WDqa8kWyF5i6zJ
++4UaENzwSPhjbj8wXLz206SyA9IuRH1r0SeBt1dz2N1DQzB3zC78Pn8vGC36
++XvPtsP+v+3+jGajEMAxlFesRoFU9TNaf1HfTZn8cOyV8AT0sl+7b+bdB+57
+vNTLVftA2tbAin8zmt/G+jsvy/XDWvOw/U56/eBxrk6VHc99Fzz8dyn0g2vF
+cO+oYT/s4iZ4iiC+71TqJc+XfTCUWPugwakPgrEK9WH0Po89z683K6SALlfE
+Ds6/GMTo5ci/FZ0A9+g28YyHGLy+IXBUibMXBKf0/M84jUN4xbo04tZekO9W
+KA9T7IDYuugJneujsEO61HJDchfksZzbsfSoGe5rGopkRw6DDH1Im+PuDohz
+c8lqMidCuUT4Ce/eQXh+UedW/bo2eKoT4yO6sQ6yGD+c8zQegCuvLEduC7UA
+R1xVVsq5SjhkWr3r7GIfzMnEGe1wJ4NWq3j73MdSCP9gc6uKTIGoa2sczNWb
+IIjsisXn5cFrrvUMurMYbPkT/NnNigQ/nCqLN3Zkg9377bEPLTB4cND7/OVx
+IvQnFX5esc+A0v44DXo2DDLdisIrUR1avOzoNr6M6mpihkET1dvGMNcHKU3o
+uWMyy/UUSQf7wWyFk4u9kMuTGEGeRby/YVSwKwPWLzZNjXMhL1VkzD7iJsHH
+vy5hjh8yoYTe96vYFgziGNczK4uRQEngUPt2/izY45scmr0DA7ou9cuSm0ig
+ovu9r/dvJjwiutffk8NgrZ6E1S525OGRJyOsTzOhdn5TEjua95zPKeWeXCAC
+l9L+rxnsmcCspHmDh+/f95jVP7jHKn++yotWOXmVBzLT+J9Vfn+YxudsafxD
+CI3vPkPz2LWLBlTu3ULjlu4cVN6fl0zla6SP0bi0KZWr+b5nx7nxq9tUfl3m
+wijOJ/YJqONch5zgjHPu9GxG3GPks905Ivi+pFRjAM61/rxpwfn30IubtiHu
+fNVaEPfYusFmDTPE3xX+cHBFfK9gzCDe74jJfTO3EI8Y3GonhjxGb2nozobq
+54BH+TUO5DF7OuXsA44EIB23CXZFvMrIh8/nKxE2fZnU2f+AAIdeteyXQx5z
+e/PzhTYJ9YXDLj9usqaD+vo3+0wX0Osb5tWcJ1FuzZF4oxCQAdkK0wOO6zFg
+3PAn6L4qqh9PmdrYj1lwvWH7302AgWbO4vv5dhKcSLFMElb4AKHCJ66kZqM6
+rAu/d2wTGa53RxuSR4rh1q/A816RFGB91f5IW7UFYjVymuq+VEL7PeOvMRz9
+wDly4V2tajvyC8NpiZgGUL682SZv+yCk7yS22pG7QJ6l1RcGmkFIeKRv+v0w
+bNxur8xegPqDXht7sGIXOCWqBB7QGIOT3sWdVyQoMK5dzC/BhIERKZ9OAvnt
+hmrqE+tcCji8cc4/OI3B1e9333og/ww//1Nwp4gCqns3rB+io4BZZ2JPBuJm
+jsmtZ40ocLXBO8bKGAOzHb2ehzdNQNlIsQ69JwaFRTWewfU90GVoI3pLfxyS
+li90D1j24ut3NmEzHcDpV9MvUjYKkmnnvwp5ozlM2PTHQ9ZWuKN9T9xfbgTe
+RK9ttTTthPbpuJ/u+k3AExfc2ZE6BDfv/RRRMGmHL79G1ik0NcDWJfd4Bc1B
+aAh1fTPk2QrbnlntFlesBbqIkXyXmX4QTT/8La62GdRMVWJ79CugV95I99WX
+PpAdfN4hfoYMnTpau8I0SqFaZbCoFf2edlf2yQkqNcGTm13jm4LyYJ/1rpPK
+UxjslI3e9RrN27qpGtxSf7PhGeuDdhUrDKQWnzDJzxChtWk6m7kyA3IIKQ8/
+c2IgMNdoeLkGzfm3DUu2+BLgqRTTukvTKI/Uj059+E4ELa5wps6vBDgpreEu
+OYf68t24lNPDRNBlZyjco5AB9gFn6KXWYfAnQ3rgKZrTkoIP++ofRbnPY+Dg
+gBAG+0MkXhznRHWluu9WeHIm1PtrCwduxqDm4KkgTsR9D94JmUnKhH0sHyPN
+Ef9x/kSq7loSWFobpUqaZULj1KfN34QxEJty6AlB/jzSuLxxuTUDLm5kKf74
+X3Du4tz/4LEHq7xwlZev8ngmGv+5yvWHaPyzEY23BNP4S83V9bHj+lTOVLN6
+rsOAnbaP+TqKyrnPHKXyhq7jVL6tYnI9ziueXqdy9SN1I9Q869usQN134Fel
+egzsj9DhvjIrtb6Ie+xeMZ0vdZ1fbiwN5xOpWM1WfJ/U7swizh9Y5ojhc7vv
+eplUWzxvumduxD1m96dC/zriOzfk8365QIAl/e31TMhXK34bOscR59mW9vrK
+VQKUcGhMWSA+yXhPdALVG6dDsKBGMAGy9Apny1G9vZaScd/USIQaHZKq8jgB
+jgiZpTXOo1xg58F8bAj1hQ5t7UjxDAiLd/G3Y8bg7AcSO6ckCc4rK6/wbcsC
+07oLee8VUb8Lo9wlp5AgJjvUy6M2F6pM2nwKwjFgI90SqE5rggNbon6YUD6B
+TIgsm7gWBVq/m2j1WDXD7qef4W3XF5Bc77I39lYfMCkXT6Z8bwWfrFOZfSe/
+gQ9dmsYL+QH4+sV63/FPHXA1PW8udj8JePRdhD7vHQIw8CeTUrrBKDxVXMyo
+FTY6nIhs1h4ByrN1cZ+9euHYyRPj3ZadMHSJ3uzO+ChYzxdHJKH+fI5odfLA
+i25YqqsP1mwag9dPMud9d2IwkvRwtK+5G9pVSmTnx8bAn+u7MWNNL5z3LJGL
+su0CUSc9Tm3jMUgUoo8V4e4F3aYzBlwD7dAvZlhfbTQKD/JfvE1w7Aa33zbP
+U6dagDPXcdcriRGIEIsNFs/shFa3tKeGQ02wkOvBRR4aguJ6opbC33ZgTE70
+vj/XCLJ59MfDPw7CltIo8T6rNrDuvM1rf+I7GKc+33g+cgC0Ss8/M2hugeaM
+Dm+9H9VgJngujPdOPxwN3KPLb98M3S2zPpozX6BR4XDe4u0+0A+PijPaTIby
+wDMRjRtLQDWwIMbpGQW4znariYg2wfrOY9rC9HnI5zHnOzAM3j6tSymxJcGl
+q70Phn5nQ101e1DkOQxsjPcNbPlNhA75S+FPGTMhXz9PWoMXg3XjY5YdaM5f
+yptn3/QK5Y6ZXYbis2hO8JJpfY765mU0RpY8JMD4M/kyQH2T8SQd+WEXEW7G
+fk73epYO97ZvVnxMh8Gc607TxGn0/rw3652KM+Cjwx87K+TJL95T373+EqHM
+ZsPOd+qZcC6GYHVZEIOV7g5jA+Q9+t/LzZZHMqGK9/lcNvLeccm11ZqLRLBz
+KDt3nC8TWvkSdIrQ3CVkDRu9UV8WyX7XTUF9ecdP+tmb6//7POa+yoP+4bH3
+q7yBkcaHVrnyII2rHqZxjlWPsSrSPGZy9CSVz35aza1a66lccXMwlds/16Jy
+ueX9VP4wei/VYzL3LlE5m+dhqsd0qu1lcB47TXbCuV6ezRLO1Ts8pHCPSbs+
+8qKecwsJDMI9Zj1XnSOFuDazeQ/Ow+WvCJsgDnNpgcaIV777bDOL598jRMur
+iC+cibV2Qh7j8A5MpEe+4pw3IH9H/I3f/FINmvPTv4w0HUU8Y8Z18hLyWHDb
+MR1x1DefkG6XXUQes/jxkVeungil8RxXdzcSQGJo5Zsr6ps3hqwZR3tR/2o2
+kGSoTocGDvWJcXoMLB4dYOlFfXBNwsOPsamZkDe3IDaJ+uDuCrnaBx4ksIic
+LH31IAf28+1rHHHEoP74DxPt401wNbL6sqFKPkiWWHUMonnnyZ77o8VJZFhR
+Hw6+cbIMdohGJFyYpYDyL+M/FQ9bYJprp83PNdXw9azv0CDKf6qxtf0OlDbg
+lFxJdGJugExjlwMOUwPwosMRS1HuhNCnka7b2JvgImHz6eSIIfDev+m1NFs3
+ZGk9bHyv2QIrSk/FCjqGYZFfq+QdXw9ks96ftuRqA/4XComno0ZA8rC+PvPu
+HtAeKz8edbINAl584e/LGIE9n2dfasZ3w4tPXSW7D7dC61Fj+cZDI9DceeyU
+ZHgX3OtvUjt9qRl0ijNcOv2HQZM3/uCNo50QxVvYfArNO0Ggw3kkbgg+c3Df
+XkJ5OI5dQaehvxG2JhZmnc8chE2/6pzOprQB39y2O7c16uGAsJHjaMUAnNmR
+ZbZi1QplO85NhxK/gvXuybaQ3n7o3PLJyFWyBWzfdw+TvSuB2bb0eipdP4zs
+Er62NE0G1VLSYOC5z/CCXgazlkV5+LfLqW9YEyhJXyznMSqCnqIjZeevUKB7
+Rr9tka4J0l/wTniofYQfv14+sK7DwF++qeXzWRJcnZgI0KvOhvrTbUbvzJAH
+mhgZUpEfzBVvnhYUyIRwr7pWRn4MNgSucAShuattsk5iVzUBqr1ZxehQ/Xh4
+sFtpo1ygP9gYeN2ZACNV0bOx+Drt9WF2UTIR1lnVY2Ob0yGCz9LtJcqb7Mcf
+6BUMoNy3xmzdb9YMeNjm+kcPzdHCxZX72H8SQVi8NdPzTQas9Qu1OcyBwanD
+D5UF0Hxl8rPkTykxA9IT8rfYo/mK9887e7ofRBDqN9LqfZYBgx0mLnfZMcig
+NOV8Rn2ZvrMu+YB0Boy9/1xQyPzf6zGvf3jszSoXWPVY1ypXGaBxF9XV+0p3
+aTxajOaxJ+f1qNw2k8YjzNhovjLwpPKnv45Q+eVYZZr3rsWy4dz5vjWVH+qq
+Hcb5GeZ2CZyfl/eleqyVRWAe5+/vpw3jfBMlzAPn/neLbXGPmd+e7pJE/Bgx
+tgrnk1NlqmcQ/2PMInQc/7n8HF/w+0o7O3Kl7fF1M2frZmnksTQ9xfkVPBeL
+NgbnIs6tOCFrcQm9z/79piqofpSu9e+eR3W1u33oc78HAe77f9ksiDz2YpNI
+m0cdEaI/Lmtl5BPApPCd4eFfvaDKL3zAsoMIW3lvH+j2SIddaZcFmP/2QiH/
+c4ybjgTCpKl1WfsyoV+e4kxE/TH2YRWma0SC2z3ytyLvZMO2XutJAyMMtuyv
++rj+FwnmppIzffs/wK/iXxv+lmMQfCOiSJueDPsrsjJZVIrh25y3gbof8pjp
+Pr9kn2Y4tKFNWfZEOTDN3Ps8Hd4Hi5bnDtzQaYUdfheNUu5+hbvZw/L2jf2w
+rqlj3Ju/HQR54jfutWoA0lKIsAHvIBzYBdKP/Dug+nfE48JOIrC95ZZ+xjcE
+jzg3ZbUadYLD4/siPVpN8C2cZWkheQjijj4Iv+PWCZURTtJi/k0wbuMbcKpk
+CMyV5t71s3TCsgH9de1KEpQMFZrTuQyB4tjB0OBDHSDl8MrP1oEIRL34sOih
+QUhhe/x0x6l20Hlp9253XQMsjypGnoNBaD/re6LYtA0U2FjsInZ+h2yLwmqL
+iAGgL/n7aN25Vtgf285UUPsVQHJcaVtPP7SUH1YNsW2BWXJOdqJtFcRwztcL
+K/SDxC2dQaPLyJuHRnpCV74AXweDu+adPjDuuWVe6kaGcdn7i/4ZpfDjzp8z
+PE0U0K8KZjgW3QSjKxsCG058gq0P9fMY1ChQffL8EkcnCeLmNWeyVD9AyssX
+WY45GCge3hVgaEACM22H6lrnbAgVcjKdMMBAPC/a9CLusWt73p7kzwRJr1/Z
+LWjOYUgypGtpIMLXd6+6rwwTgH1qqTUBzfN8z+k7bFEdsme9b2NG9Vlx7rrp
+H1Sf+zqdqjhR32y1NKjLqCfAh51JI1bIe3tSDDrsUL0ZnHrNZeyZDpu8Dm1h
+R/VWVnTQ50s/EZQk7tNF/EmHX9yHgxMZMfC5mequgfIpgcmRVXJHBoS2pZD4
+UT6VL359wWAQzS2NymnyvBnw8l2gfD7yYedD5bifqC8HZJ//fhX1ZQVFjsPT
+9P++xyz/wW+tcrdV/mmVx67ym2tpnLzKTfpX9zG3r56bDaJxI26ax0Re6FK5
+ZfLq+Y1wVtq+5C4nmg8v0DzmXi5D5Zdu8FE9lp1oRuUMvjZUjz223bGJul/Z
+pEb1WGDeuRnqeY/epVyc39X+cRPndG+eHMU9lnjizDEJxLc5iuXgvCL5uTN+
+X4m7/ON5QPwryx113GNCC/Kp+H2ll5dfW43gP5fxeD1+zn/z3qnxWMRJVy5l
+SFwkgJKD640tyGO7shYqI5HHfp+2Mrt3A/k5o2+aiHjWDud05m/Iz/4BFwNe
+E6DK4L4boFzAkWumlNBMBIegiDVD6umwbLKzNWsJzXu7NEWfoPl/XCgis7Io
+AyYpd7+fQfN/2LuS8B4lEnjL5NLzRGeBkQQfO2kvBrNbxq0T00iw1S1fqHk8
+F9Lf6bgIPcLg5ei9rPBbTbBO7UibxM0CcL403YevZ10n6GhFPCPDeZc1xhEy
+ZfDo2EvmkHEKZHwQL0mdaQYG4jszyc4KqJZ97VHd0wcJi6ziJSdaoeZGibtk
+2Fdg7WBkOknsh2G+q/z1KJdNl3JaSaBcZlBnufYUymUyH+h2Ov9tg9A7XB8o
+uxtA0sphbyPDIGyw0dxWJtIOO++4KUY7NsCl8CoGMaFBUH+a0N1LbAOOwJVL
+da31IFHz2vhO/wDQOWk2W2q1wQ6RBG6lH3XQaTSsXuI7ADF885rBz1vhJl1Y
+s3BcLfz0Sd6YzjIAtzh8XqsMtYDQvKEym2wNSCUUBk+H9oPHp8kQJkU0Xz2+
+eoY5vRI0LSS37WLth9/VL0eP3GgG3vs5lTFS5fBZ2e3zTFAfyF3rc074QIbE
+Byu5r+6Xwfiw9Jc5OpQfH6rk6Cw0gdYDVoU7c0Uwq//wyqAnBZhex3A8OtYE
+9lkCijbb8qFTxlM0+y8G/V77JoSzSYDdqE3/wfMePJYM5WaeYKCemOV2/yAJ
+pIuZp7f9yQIHt6dbpLQwuDaW+MhhngiS1889j6LLhII/Hi9KeDAQPVLvb04k
+Ql6d5LrgPwT4GCI9mPW7F6zeyvZfQ3XInLHPPBF5rKji70ZGVG+m9jyqkiiH
+nukv81//jAAMfraKcXjevC0snEsiAqNe+T4NrnRwcfzKl7TQC5rb/76eayeC
+4Gmmw/tvpMNpw+/Hild6weHSMt2pbjRfXWuLZE1KB53tjinCazAoO/HqXBXK
+rdane6/ZvUgHMzm9xjyUW3fqqJWGo/eZX97G/fRaOnw1eH7oxsr/na/+tx5z
++ofHHq/yKQYar/+P3/po3EicxvevekyecdVjMyeonBS7mjd7affHL5TaUfmD
+Mdq5skMXxGnn1tYkUM/5O5ScovI1XaxUj1lfPitA3d8MXqDyHwHqP3AeRhYL
+wfmBxTzq/fGp1G7qvcs7QxE/8POxr8tKqfcuiT4fvuL7mH31ew3wc/5S5ju/
+4Ov/4TtNu/FzZe0hiY9ycZ6qJYWfj/XUbmsORZxgX6wsaE8ALns3NkH8/nhZ
+zDcN5DEv24tSLGjOX6N1N/Ep4oe7OqzrvxIhpyzcKiwS/Xsc2hZsUF1VN1rE
+JKH6NPMcT/NZkw6Bj8UPD6D63PjZZfdRNJ/vUfQRCBHPgMrQlOkLaD5viQtp
+GuEngUrvyegXTZmg3u8aJCeDwYmkb+LKTiS4p/q0POBYDhQa7xBIsEf1Vic+
+282I8ubtGtU7ph9BtCotvLEBzW/RyjzBbU3wjMHePFKoCCTX8Dk8vkCBJRsd
+09vNZBBjEAtxWC4DqW6FRjOBPvjOs/buMWIzyH0+oc52sQKyT+kIG1b3AbN2
+tn/58xZYG8gZni1VDdNWC5wTp/shqb4Vc+JqhXcWP2OuFtTA4G+9rvGUfrgt
+881SbFsriI909R/k+grpaQ4PjuT3g96tzTtm51qgc1JLrda6BhaNj+9jiOqH
+McOPYBnVAjU/5avHuKvBVvRWtIRhP6xs9ZhUEm9B/l2KWHSrhKb74tO8f/tA
+V6Uh3udlM9z95H+4r6wcDhtEXShK7gPHrtkENolmqBwQqcn9+xkmWkvDy3T6
+QCbT9q9fDBlsv9zp6ZYtgzRNGcNdExT4teuR9ikOMkQe9w6vDi6G6kclX9JD
+KZCnRp9x16cJepXOVkSmF4BcbZMBkzQFwkXkn/IvkqCKUyg/kPkjnNg0Px5c
+jcHubEeG2UASNJv69jT35MD0ep7UUTcMxEynujvlSECeHmHa7ZoF14wLH+iq
+Y8BoY0kQQP0r+chl0q8PGeCkrfH6L8p399rT/hBRnbz9EjvOuDYdNHLVuxmR
+f4xdpM/i67QXedlKba8SQFCRLQpfp31V8X1vL6rD5tZLP5Lc0fy2a26RGeWC
+fV9v5Z1F+TRscwgLQyUBdo+4VPShXGDMtS4rHvkt6lef1hbOdDgf3vbpCXr/
+qVlvshfqs+FCT/hY1NLBldU6+xnqs4xzmi9zEU8buWHMsCcdRgx/qpQinm70
+U2qhiQh0Uuq3RiXS4cmmkMDgxf8+j/3nXNnlf3js3n/y5qrHalY5/arHyAKr
+33exeh6DZYnGhexoHsuJovGfejSPbey2pPLoQJrHoq8I0c6BLB2g3R9vPUnl
+G3nLaOfQmMyp98fz0yqoXFD1GfWcv+b6ZFucd8ph1POx8ZbGG3GP7U76RcTP
+Y+x8bPiY6j1v9YO4x1o1m77i58quDHdZ4x4beDCRh5/HSEywqA9GnJOsNomf
+x+B9xc7mic+ZQcoe++xQDv3m9HM9qp/hlrE9fxBX+eplftKBADsSY50uIt6d
+Z1ZcV0MErmHe1LAgAiRwJg6lo7pqKpxasUDz/68D9L0YiQA9ROcd0Wj+vyX0
+qX0Z9buNm6tN9OLTgf9BmH036neSCcXRSytEWIz3i5BQyYQz+807OVDerNs0
+Flh0gARPcgu0In5kwZaYFP7uwxiEvmVn2vOGBGPXFy+qfM+FSL1bEmsiMCi8
+UqnIs78JdmiKki+25UF5TfDm2Hk0JzDTPYuYbAIPrR1mze+KgNfJnsnclQLf
+9FpfD8WRYeP10G9b9pZBsH5S4fEfFLiaKw0zss2wv/5SUMKWLzBAUQu5YtQH
+o3z8Xhu8m2GSbs+oxqFyKFUuztlyH80zDifEyQ+awcVz3bJTQDn8rtu8zzCm
+DwYlq6SuODUD2d6YP5+3HOiK7I1C/fsg70HEyl3FZkjYrfk+XOULsBy3Kntl
+jPJdbenVZYwMRLuNzlekPoPqQdLPa2J90HF+HcfAfTJk1dn0rvwtBcE6v2PG
+/RQ4s6uldJsqGVJr14uQYkvA9Gx4MiGZAiPVC376yOeSEizT3IJFEH6wzeoq
+8jkzj8lohlsTVH1TXRa7XACLfo52wuIU0MgmpKtxN0H6fU/LS28+QlDOPHNt
+Kwbr6WwGX2aQwD/ccF3xmvfgveiupRqJQeD2UQqYkeCb65IJJSMbTrAzBe80
+wUBgacuJGgES/GLVgldYJojzzt7x2obeh8U4ac0YqhOFXortqQwQ3zuXt5YV
+g19fGr8qI49pjShFGSwRwDTV4ugT1O82R2lpuyJfhbn6XaxyIcBVVzGRQlRv
+PA8edlahOtw3YE5/6TIBvHY8msTPabinHt85g/qp4vWBZ95RBIhk373VC/VT
+FkEHDXfktxdEcza/KpQvNgeLzSO/WRjZS6ahPJt9UuGZwCABtNfb5fmhPHvJ
+6ICSciMRqhYKDa0mCNDHyPqjF3G1N+PX7dDr6xP7j+lRCBCwNaHYYP7f99j/
+xO3+wQNWufiqx8pXud/qOf8hLhp3W/VYzer3+RyfofHB1e/B6GulzWlrXWn3
+x+OVaR5rL6HdV+oR+kHlmztp95WMJQNp+6SHhKjn/DXDnlO50/lb1HNlh56y
+HcX58KHz1HNl51MzWXCPvWO0G8PX/2Ps4+/i/EssRwPOub8nZ8sg/teLhRf3
+mAfhkjy+j+nV03fxAp5Dw42k8H3MveWGxxwRd2XxWwxF8/wzh7AFBlQnLzNk
+xyoQl9r0ckkX1Q/Ts5UHGojPXco4uILqrfoG6Y6WJwH22i/wiuD3SmD9mgKU
+N3c8EmnblUGAiAqtr4Uob24U+e0ajPrdVWxt6wvUB9cdSdmWiPqdRYeXQPw4
+EaJn5Yc7LmeAt3rSCWk2DI5ve1K5Gz0XJzhechV1ZcI2/6eJgui5eDQcZPHo
+LAmKwfD0n8psuKfHoRFihsHCnxehL0pJMOzZFFd38z0kRXI4SSVg8Htvwgkn
+1SYITkqVPPYuD/Z9I7bMTGPQZuZAr/GuCTK0Hq/ktXyCeqdOBfYjyG9FsfZR
+68hwsYojqc2qGKRb1D++DqKAsJ/Mwy1Ahk022yX1OktgrLtj6U8aBfjoCMGG
+J8jgL+569bdwKeg9MQg9+IEC1pJqty+ok+HV3CM3c0IJqOseuQVvUF5zcN6s
+y0WGgiXjsjtRxXAu/HgkdxgF9D8fLG/pboJFpm2TAQeK4PRS7bqTlyig25zQ
+GPO2CdqkdLIOfvsERg2hN/sPUaBn6VWYrXMTjJ6bDdQ9UgAHX6aRz2+iAMe1
+yKtdu5qg2LpY1jghD1rvFWS3/sTgTJQFh90MCTo7PTcxtX2A8KRuluYvGFQZ
+vy9YTifBDm6tU3v+5IL7gpRX2WP0/7l1r5zpVRJY8oV6fpbPgfGBwPYxWwy4
+7xTUmCuRIMNR44HX4yzUl2Wc3fZioNFwur+VngShutEc9PqZML41fGvlRgxa
+G/YtjVOIsHLNeetKXzpkvIpvNV6LwZdDaVUJyA8MS0xv3QfQcxceUOSB/GDf
+rXivAtWV7c36DKVbBOA+OaH+C9Wb95ktrfh6yKUE5t4xfP/r4NMpfD1E6Nfw
+mTn0+r2Cdz1bPQiQ1PcjQADVYfv+wZRNKIdqjD3YX/IU9eW5nmMxuN9mOiwT
+UH1e7BA73kAgAL+sbmUqqs+XdDYWcnXo+TpuHXzlPQE2pBzfxo68x4A9YR1E
+rx+qV7V7lkUA5bZrRR2z/76v/rf3x1v+cX9cdNVjLqv3LhVWPXZs9b5S91Ma
+P7V6X2nek+YxT3vaOX/9n6tzmjbtfCw/RzZt/T+fdq6MzGhM5WMzIdRzZfRO
+HlQ+GPyNuo/JrPWNeh7D/qEK9TwGg2TiMs5H1hao4B4bD3b2xrld8NZbuMdI
+sZSxzfh+63kNMtWTducV8PV/3r/u2dp4/vXpKcLXzby2H9LD11dJWyZ30iGP
+ZQvdncO/52c97/rCGMSfY69O/EJ5M9nDWG0zqiv7hy99LVD9bH9m//L2dQIc
+PZpq9w7xxocueWmoP6Y/ouxLfUQA99CgWB1UP9pcPILFqG573FYucQ8RQG00
+40wEqlspjzxTm24iPOsYXd+blA5SvFFOW9dgsHjtIv/b30T4JvfylwwLyptH
+mc1jeTEw4g3mmt1MgpVDLTs1VbPANQaiWZUx2GRWUF9uhZ5TQcuo3V3ZoB0v
+c6vaAoOGKuOQaTS/3T70LF2dlAtqYePf/dD8NhnmrGL8Az2P1/gDCr58AC96
+N6mMMgxeDJhEHdvWBNLcs/M1J/Mgq6J+MXcEg4DxrRFJx5ugpDKp5ptaPmgI
+S89tXUMB582c/qxGTagPng1RuZ4Phsn3frMzU4A7SHz/26NNkHwzZpZzcz5s
+lvzhxfEXg+9/63jOKjbBN07eVGbfPDDbbdOQPokBTwY352PeJghdGKury/sI
+f/duE3BpxyDk/ki1yywJfgQFspv1fgAHMcPnj8sxOL8rJm03iQQ+dgGFmgvv
+4cKI9tXdBAxulGrZdiAvXZpfumm4nAti5zg4U5GXPmR5NrQFkeDnVJMo/2AO
+lIUWy4bdxKBo2I7N2YIEC1qGMhIl2fBV6eRYkSkGDFq7HZOVUR+RnJB2f5EF
+pFvKRMt9GMQeFik8wk4C5eTNr/2fZsKCgW2LkCQGz1IuTrpNESFWOZPl4qMM
+qBORJm9lx2D8a2hqWjuatx0PKqg7p4Pf5V/aoSu9UKX+6t5FNC/pJa958Qzl
+wbp4Dusx5I3TwS+ly1FdWVrzW4oijx3sYIFZVFcq64oj8XoWIkS7b0F1e+25
+6Qhez3ftNSJ/IL4jWvZ8PMqh9vevh51Dr3eMeqcnhOeFqO2k4tsEsONKFFBE
+fpvcGEvHiOqTR0pL734IAe4UlxeRET+hXfDIGa9bqR++LhEEYLn4hU0S1W1/
+3M/ai4irsIc4LIQTgKya0ys88+/76v/1fOx/zvkn/ON8LHGVW6yej11a5RdX
+z5Xxnabx4dXzGCaqNI9xxNPOY5wvpfGpado+Ju8zfyrPsKKdxxCqpO1j7n8d
+T13/X5dK28e8nBZGXTebZb8iinOx8lPU9f+ogp5pnH+5y5yO82Ono6jr/wYr
+91Xxz52y4YY5/r2LvZekU6jzpLlaDp4384XsWFUQV2/LyMbnNI3Mb734PaYI
+3T7KU8Tj+mWK8XtMvBsyEjzwPD4Vm62K8uYPLD0Zz5sFGk8c+hG3OaB2du4K
+Abrn99KfQby+4tAFaVQ/5esMvvp5EaA43XplN6oTB/ZCmxuor6U7Ozh6vCPA
+w7eKD8NQX4vPfTvSSyLCLScz70yedHjTc/nRl4VeeCXaWLIZ9XGGURU2zrZ0
++JPDdqWGAYOT1oF90Qtozsz2bHrNmQl7bfIVj/BhEDy/58jNjSTwlTGR1JrN
+BOxJx/NzsijvbDngc16DBLO79WJm6LPh0RaZnnwtDC4JyjypsicB3/EC3mX2
+HNjKeqv9vTUGImeTos6g510pmHjxHiUH7E0jXiui551VHp5qPCVB4nmWj5Ln
+cmHglXNRlT8GjJc2fBl8QQKugaNHne/kwomRxjtsdzFQO8RLkoxGnhQxPGhy
+BuXfNwNKK34YpB4sGJO7RwKpzolZmbW5IDP4WSPKAwOrtpxA29sk+MBbXW4S
+mwOCGgWhyk7IJ9u03S3QXDRdRHJqQ3OR+PtrcpNoLhpY9p3hNidB2WT3qej3
+2eAwW7m9CuU7v5db7rUdJYHg+tDjowrZoAsP2Y/oYOB6W/2bJfKS886o2aCY
+LNhzicNDDnlJ0M8+5YQwCfpY6XbyLGbCcnLu41/o/y1V8OR9o7UkiI93e65j
+lgnSvr1aDcIY5Aao7ItGvvLXPGa9LTIDfPU1QvYjX52pvnu7D/UjLYdCu+Z3
+6cCaW+ztg/pRgnurNC/6fBu96a/7MadDTEPunDL6fBeWzP0n0bxkLXnEcGsS
+Ad7s0K6UR/Uw9fKyshvymMBB62UM5cojVwZci1BdBX3kuIx/74Gc6Ny2QlSf
+Gmw3g/B13aPtrs/vIO4ReGfOE9Xn6RPPt+L3U06bvjvKiN4nP2z7qRIHAkha
+TAo6Ir79aLmhN+JN7h8ZjVzRz51e3v4F8fO9WyNLEb91rzN+/CYBPa8Jn34i
+Hh5CoHxFXO/T6T+eyKukTvrF3z//fV/9v57H+M/6v8c/zmPErfKQ1X3M5v/c
+K1/dxzTcSuP3Vtf/TZloHnNjoO1jpsSt3m96TVs3c4+2ofKsz7S86eG7kco/
+8ulR182KnutT+bn4TCo33uFG/Z6fd5sKaF5ll6XeK8/rKNXHOVNzDzVvhpT5
+UvNmWEDbMD6nvb3mTc2bXQn26Thvyr3fjZ+bbaw5v4Tzoz/ravA5je3StQ2G
+uMcy7Lbj582GLzun4HOaz7Er6xnRnPbdaZcKvg8uKSZ+9hHijgE/O33QnPZr
+05HTIujzPSgtXCSCPvcXa0ru8V4jgGtTsPYd/H6TZKNJKPIbnYKUYp8fmjPv
+vA25g/y2v22w4hPym/PT/a66KIcqMYStK0b1XHjfcnsnkQiZko9DA9emA/e9
+Yf31qP6vPbsfNNqJ/Hxgo4fdg3RQZnKJEaFDz11SV+biKBF2NxQorz2VAcPt
+p5r/sqDnt83cKmqJCHeDWPcGiGRCEIvd/Dt+5J+GiSsTbCSwCLFfkInIhI3j
+n9qlJTDIbsh7OShIAiafU6U2I5lw90cbi9Z2DN4EpLTdEUfeCFr7YJ/o/9fO
+1QdDmcdxHTKKvcvLrre8dLercLSLLqfup64UjWtzLu2ZimM7StK16zSSrsQS
+hnMtIQ5lb7rdZ9muUHJaujqdo7VOSFYvavYURlis7b6/XX810//djH8/8515
+nnm+n+fz+3x+bzWIa93nfN5jEMkrM9ecXNGJTjp5Kr3datDyW02CxXTwP00X
+dn4M9eSNbpc1tjVo46MIl0ioT4lKpmHdcJ+JlpBAN8IO2Phg3Qgp5wf6W3ai
+tYOa1a4d1Yjy9Gd+vfMgengmouEaqRN5te/552JFNbI0yZpz+BB8F/1saZFR
+J9L3tNxAOQz1qoTZ5fbwnrEJO/Jey1BecNljhk81Eu58RE60GkT2O1ucOJMy
+lKPWpJeNi5FQ4BX0gdkgcjTLun0Gcv2Lgt/822PEaO8Wdb015PpHhyhxfBhH
+yAHW6wIHCFTJYhnYQB4c6PGQpPXIUBc9zhZFEKjhlp74+pwC7Yk89/cq6New
+z4ki+Qz48E8bJ3NUCtRZRN36BPpbwRcPn4Bctsmt/0Qv9Lf4XqBtJfDBvpNZ
+4JsKvLoSPZoLfMinJ7iqcR7x5xX7gf5kNMtrvgX+jDfuasP3G7vcuc6YBn4G
+CIaLcV5o2Xz1BT63Ejj1S0sy4Eomey+e75Vm72Phc8QBQ4aCZ6Bvf17KKMDn
+iF/qMQuvAv40+ouuxBgRUs1O3V2D73u5kMSUAz7DafAhw7hcQjETbwM8dmAm
+vx/rwJjCogDwkeI79OB3WMfehke9JW8+feOeH6v5vOkynzdd5/NmslKHj6bo
+cPP5c+VUpk7f1Ia6c0ypsvn9/4d0+2abd2dqcd86nU+bdaTr9qc187Q+zexk
+uBbnegdofZqkvMkG40oWVevTWKQj2vuxNTT2ce38HsNdu745lCCmYB3Tdzcj
+8LrASBxXe2/G6oayHowLBfWf4PNNnlKpNfZpa40Wq7G+1aZMd4QA/tJcEoT1
+rbbNwg7zKneZXt4I4FznUAfMK9rNOk0q4GJG37M/gD/MuakRc+j7ltvsdMyH
+XuMHbD7wYXvr6ErMB3GP47VK0D2NkBsUliBCv5sJOP2Ad+W6RDjg+dttDG91
+pghZpPG2PAee2xXywrLhv+BZRMtuCyF3cI7HnIf/Yod/l99YO/wvoaV2o30i
+lBTaHf56EnJ0mmfZCPgBgUukVbI5gfQKFc/bQA+PtQnLertlaFrvQrU6gEDx
+xhx5jlqBUmP3VbyCHJSUvNLPiUug8Pj4hw2Qg1QkvZstoJ/2aW4WrBwCrTfl
+k/RBP79n+3f79cN48fyVLeUsgdTyDZu+BryJ13i2FuplnDND5dkEMjng2zb9
+WoFCKDG0gj4Z6mn9/N5EMoEOZrmRPQDfOrHZ2QueWyo1Hfh1P4GCDHcXeMNz
+hRuWq2vug/+JMgyp/opAEordahrohmlXmOESeP8mPw1J8BmBVB2Na9WzCnSz
+Ko9J7QL92X5sgPkR1O8T5ApmFIgt9TJVgc6QH1yMM15MoMt7Viod4Dt8d7SK
+nw95nxHo4Sp9IkKnIu0SD0PeTzzKb6dB7vtLxfMzahah4J8c3W9A7jvIlSpf
+gI+SjpUb2YOPijttHIZ91Ob1+lQ76Jfb/qve7dAvenbKoiHol1A+RrsL/X3P
+VSlJAT+T/s3cqmno79JXj8OnsD6kOkzOQR7cLrnzZRTgw/HKcaw/CWNBJqPA
+H8GEkwEZ8L7xayK8PlV1vMgTr08dobKGsF4VutY4Y94ySuqy8Ho9adeVEszn
+kqU/nMP1oxUbbdIBN31/xX1cH/Tjohw2np9pPZW/DMZl6jrUjcdly/RGAd4f
+vuTuRCgHcPsbt+R4f7ikb1M13geSErEtoxTwfy+dnjT4H+rYAr6AL+AL+Jv4
+fxj9z+w=
+ "]],
+ AspectRatio->1,
+ Frame->True,
+ FrameLabel->{
+ FormBox["\"t (\[Mu]s)\"", TraditionalForm],
+ FormBox["\"z (cm)\"", TraditionalForm]},
+ PlotLabel->FormBox[
+ "\"Intensity (|\\!\\(\\*SubscriptBox[\\(\[CapitalOmega]\\), \
+\\(4\\)]\\)\\!\\(\\*SuperscriptBox[\\(|\\), \\(2\\)]\\))\"", TraditionalForm],
+ PlotRange->{All, All},
+ PlotRangeClipping->True,
+ PlotRangePadding->{Automatic, Automatic}], {576., -189.},
+ ImageScaled[{0.5, 0.5}], {360., 360.}]}, {}},
+ ContentSelectable->True,
+ ImageSize->576,
+ PlotRangePadding->{6, 5}]], "Output"]
}, Open ]]
}, Open ]]
}, Open ]]
},
AutoGeneratedPackage->None,
-WindowSize->{848, 925},
-WindowMargins->{{13, Automatic}, {Automatic, 4}},
+WindowSize->{897, 826},
+WindowMargins->{{0, Automatic}, {13, Automatic}},
ShowSelection->True,
FrontEndVersion->"7.0 for Microsoft Windows (64-bit) (February 18, 2009)",
StyleDefinitions->"Default.nb"
@@ -6205,14 +22857,14 @@ Cell[15840, 505, 803, 14, 118, "Output", Cell[16646, 521, 197, 4, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10001.},
CellID->577766068],
-Cell[16846, 527, 3515, 92, 172, "Input",
+Cell[16846, 527, 3515, 92, 132, "Input",
CellGroupingRules->{GroupTogetherGrouping, 10001.}],
Cell[20364, 621, 3937, 109, 126, "Output",
CellGroupingRules->{GroupTogetherGrouping, 10001.}],
Cell[24304, 732, 858, 33, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10001.},
CellID->525228576],
-Cell[25165, 767, 1675, 47, 69, "Input",
+Cell[25165, 767, 1675, 47, 61, "Input",
CellGroupingRules->{GroupTogetherGrouping, 10001.}],
Cell[26843, 816, 4081, 115, 126, "Output",
CellGroupingRules->{GroupTogetherGrouping, 10001.}],
@@ -6229,7 +22881,7 @@ Cell[CellGroupData[{ Cell[32695, 989, 485, 14, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->854192725],
-Cell[33183, 1005, 554, 15, 52, "Input",
+Cell[33183, 1005, 554, 15, 31, "Input",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->465762594],
Cell[33740, 1022, 1853, 53, 104, "Output",
@@ -6239,14 +22891,14 @@ Cell[35596, 1077, 144, 2, 43, "MathCaption", CellID->314466782]
}, Open ]],
Cell[CellGroupData[{
-Cell[35777, 1084, 901, 27, 54, "Input"],
+Cell[35777, 1084, 901, 27, 33, "Input"],
Cell[36681, 1113, 2805, 74, 69, "Output"]
}, Open ]],
Cell[CellGroupData[{
Cell[39523, 1192, 131, 2, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->398692331],
-Cell[39657, 1196, 1095, 31, 77, "Input",
+Cell[39657, 1196, 1095, 31, 55, "Input",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->298399236]
}, Open ]],
@@ -6258,14 +22910,14 @@ Cell[CellGroupData[{ Cell[88410, 2564, 493, 14, 33, "Input"],
Cell[88906, 2580, 2579, 84, 92, "Output"]
}, Open ]],
-Cell[91500, 2667, 324, 8, 59, "MathCaption",
+Cell[91500, 2667, 324, 8, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->142706944],
Cell[CellGroupData[{
Cell[91849, 2679, 7071, 207, 192, "Input"],
Cell[98923, 2888, 7369, 226, 299, "Output"]
}, Open ]],
-Cell[106307, 3117, 275, 6, 59, "MathCaption",
+Cell[106307, 3117, 275, 6, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->97303873],
Cell[CellGroupData[{
@@ -6296,57 +22948,139 @@ Cell[130734, 3872, 1767, 54, 98, "Output"] }, Open ]],
Cell[CellGroupData[{
Cell[132550, 3932, 26, 0, 71, "Section"],
-Cell[132579, 3934, 136, 4, 43, "MathCaption",
+Cell[CellGroupData[{
+Cell[132601, 3936, 32, 0, 36, "Subsection"],
+Cell[132636, 3938, 136, 4, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->573833124],
-Cell[132718, 3940, 69, 2, 31, "Input"],
-Cell[132790, 3944, 148, 4, 43, "MathCaption",
+Cell[132775, 3944, 69, 2, 31, "Input"],
+Cell[132847, 3948, 148, 4, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->289922153],
-Cell[132941, 3950, 231, 7, 31, "Input"],
-Cell[133175, 3959, 157, 4, 43, "MathCaption",
+Cell[132998, 3954, 231, 7, 31, "Input"],
+Cell[133232, 3963, 157, 4, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->605757010],
-Cell[133335, 3965, 1108, 32, 72, "Input"],
-Cell[134446, 3999, 162, 4, 43, "MathCaption",
+Cell[133392, 3969, 1108, 32, 72, "Input"],
+Cell[134503, 4003, 162, 4, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->546154363],
-Cell[134611, 4005, 1149, 33, 112, "Input"],
-Cell[135763, 4040, 124, 2, 43, "MathCaption",
+Cell[134668, 4009, 1149, 33, 72, "Input"],
+Cell[135820, 4044, 124, 2, 43, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
CellID->53519095],
-Cell[135890, 4044, 206, 5, 31, "Input"],
-Cell[136099, 4051, 810, 21, 75, "MathCaption",
+Cell[135947, 4048, 206, 5, 31, "Input"],
+Cell[136156, 4055, 363, 10, 52, "Input"],
+Cell[136522, 4067, 202, 5, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->434761194]
+}, Open ]],
+Cell[CellGroupData[{
+Cell[136761, 4077, 166, 7, 36, "Subsection"],
+Cell[136930, 4086, 2724, 75, 108, "Input"],
+Cell[139657, 4163, 539, 17, 54, "Input"],
+Cell[140199, 4182, 606, 18, 54, "Input"],
+Cell[140808, 4202, 661, 18, 59, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->117093481],
+Cell[CellGroupData[{
+Cell[141494, 4224, 3312, 92, 98, "Input"],
+Cell[144809, 4318, 29033, 489, 238, "Output"]
+}, Open ]],
+Cell[173857, 4810, 148, 2, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->333910298],
+Cell[CellGroupData[{
+Cell[174030, 4816, 4522, 112, 251, "Input"],
+Cell[178555, 4930, 98527, 1632, 316, "Output"]
+}, Open ]],
+Cell[277097, 6565, 154, 3, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->11522122],
+Cell[CellGroupData[{
+Cell[277276, 6572, 4536, 112, 251, "Input"],
+Cell[281815, 6686, 98393, 1630, 316, "Output"]
+}, Open ]]
+}, Open ]],
+Cell[CellGroupData[{
+Cell[380257, 8322, 169, 7, 36, "Subsection"],
+Cell[380429, 8331, 2725, 75, 108, "Input"],
+Cell[383157, 8408, 539, 17, 54, "Input"],
+Cell[383699, 8427, 606, 18, 54, "Input"],
+Cell[384308, 8447, 660, 18, 59, "MathCaption",
CellGroupingRules->{GroupTogetherGrouping, 10000.},
- CellID->434761194],
+ CellID->10341135],
Cell[CellGroupData[{
-Cell[136934, 4076, 28, 0, 36, "Subsection"],
-Cell[136965, 4078, 2724, 75, 108, "Input"],
-Cell[139692, 4155, 572, 18, 54, "Input"],
-Cell[140267, 4175, 643, 20, 54, "Input"],
+Cell[384993, 8469, 3312, 92, 98, "Input"],
+Cell[388308, 8563, 29509, 497, 237, "Output"]
+}, Open ]],
+Cell[417832, 9063, 148, 2, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->382278729],
+Cell[CellGroupData[{
+Cell[418005, 9069, 4522, 112, 251, "Input"],
+Cell[422530, 9183, 100060, 1657, 316, "Output"]
+}, Open ]],
+Cell[522605, 10843, 155, 3, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->482398204],
Cell[CellGroupData[{
-Cell[140935, 4199, 2127, 61, 98, "Input"],
-Cell[143065, 4262, 29134, 490, 238, "Output"]
+Cell[522785, 10850, 4536, 112, 251, "Input"],
+Cell[527324, 10964, 100178, 1659, 316, "Output"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell[172248, 4758, 29, 0, 36, "Subsection"],
-Cell[172280, 4760, 2725, 75, 108, "Input"],
-Cell[175008, 4837, 572, 18, 54, "Input"],
-Cell[175583, 4857, 643, 20, 54, "Input"],
+Cell[627551, 12629, 168, 7, 36, "Subsection"],
+Cell[627722, 12638, 2719, 75, 108, "Input"],
+Cell[630444, 12715, 539, 17, 54, "Input"],
+Cell[630986, 12734, 606, 18, 54, "Input"],
+Cell[631595, 12754, 660, 18, 59, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->42364272],
+Cell[CellGroupData[{
+Cell[632280, 12776, 3312, 92, 98, "Input"],
+Cell[635595, 12870, 29422, 494, 237, "Output"]
+}, Open ]],
+Cell[665032, 13367, 148, 2, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->574469730],
+Cell[CellGroupData[{
+Cell[665205, 13373, 4522, 112, 251, "Input"],
+Cell[669730, 13487, 100149, 1658, 316, "Output"]
+}, Open ]],
+Cell[769894, 15148, 155, 3, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->199787901],
Cell[CellGroupData[{
-Cell[176251, 4881, 2127, 61, 98, "Input"],
-Cell[178381, 4944, 29472, 496, 237, "Output"]
+Cell[770074, 15155, 4536, 112, 251, "Input"],
+Cell[774613, 15269, 100145, 1658, 316, "Output"]
}, Open ]]
}, Open ]],
Cell[CellGroupData[{
-Cell[207902, 5446, 30, 0, 36, "Subsection"],
-Cell[207935, 5448, 2719, 75, 108, "Input"],
-Cell[210657, 5525, 572, 18, 54, "Input"],
-Cell[211232, 5545, 643, 20, 54, "Input"],
+Cell[874807, 16933, 32, 0, 36, "Subsection"],
+Cell[874842, 16935, 2592, 73, 87, "Input"],
+Cell[877437, 17010, 539, 17, 54, "Input"],
+Cell[877979, 17029, 606, 18, 54, "Input"],
+Cell[878588, 17049, 661, 18, 59, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->111628146],
+Cell[CellGroupData[{
+Cell[879274, 17071, 3312, 92, 98, "Input"],
+Cell[882589, 17165, 152692, 2516, 234, "Output"]
+}, Open ]],
+Cell[1035296, 19684, 148, 2, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->131368739],
+Cell[CellGroupData[{
+Cell[1035469, 19690, 4524, 112, 251, "Input"],
+Cell[1039996, 19804, 85546, 1419, 316, "Output"]
+}, Open ]],
+Cell[1125557, 21226, 155, 3, 43, "MathCaption",
+ CellGroupingRules->{GroupTogetherGrouping, 10000.},
+ CellID->304022153],
Cell[CellGroupData[{
-Cell[211900, 5569, 2127, 61, 98, "Input"],
-Cell[214030, 5632, 29467, 495, 237, "Output"]
+Cell[1125737, 21233, 4538, 112, 251, "Input"],
+Cell[1130278, 21347, 86299, 1432, 316, "Output"]
}, Open ]]
}, Open ]]
}, Open ]]
|