(* Content-type: application/mathematica *) (*** Wolfram Notebook File ***) (* http://www.wolfram.com/nb *) (* CreatedBy='Mathematica 6.0' *) (*CacheID: 234*) (* Internal cache information: NotebookFileLineBreakTest NotebookFileLineBreakTest NotebookDataPosition[ 145, 7] NotebookDataLength[ 126139, 2471] NotebookOptionsPosition[ 125582, 2449] NotebookOutlinePosition[ 125990, 2466] CellTagsIndexPosition[ 125947, 2463] WindowFrame->Normal*) (* Beginning of Notebook Content *) Notebook[{ Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"\[IndentingNewLine]", RowBox[{ RowBox[{ RowBox[{"Xrot", "[", RowBox[{"x_", ",", "y_", ",", "d1_", ",", "beta_"}], "]"}], ":=", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", " ", RowBox[{"Cos", "[", "beta", "]"}]}], "-", RowBox[{"y", " ", RowBox[{"Sin", "[", "beta", "]"}]}]}], ")"}], "+", "d1"}]}], "\n", RowBox[{ RowBox[{"Yrot", "[", RowBox[{"x_", ",", "y_", ",", "d2_", ",", "beta_"}], "]"}], ":=", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"x", " ", RowBox[{"Sin", "[", "beta", "]"}]}], "+", RowBox[{"y", " ", RowBox[{"Cos", "[", "beta", "]"}]}]}], ")"}], "+", "d2"}]}], "\n", RowBox[{ RowBox[{"Xtro", "[", RowBox[{"x_", ",", "y_", ",", "d1_", ",", "d2_", ",", "beta_"}], "]"}], ":=", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{"x", "+", "d1"}], ")"}], RowBox[{"Cos", "[", "beta", "]"}]}], "-", RowBox[{ RowBox[{"(", RowBox[{"y", "+", "d2"}], ")"}], RowBox[{"Sin", "[", "beta", "]"}]}]}]}], "\n", RowBox[{ RowBox[{"Ytro", "[", RowBox[{"x_", ",", "y_", ",", "d1_", ",", "d2_", ",", "beta_"}], "]"}], ":=", RowBox[{ RowBox[{ RowBox[{"+", RowBox[{"(", RowBox[{"x", "+", "d1"}], ")"}]}], RowBox[{"Sin", "[", "beta", "]"}]}], "+", RowBox[{ RowBox[{"(", RowBox[{"y", "+", "d2"}], ")"}], RowBox[{"Cos", "[", "beta", "]"}]}]}]}], "\[IndentingNewLine]", RowBox[{"a", "=", "1"}], "\n", RowBox[{"e", "=", "2.238"}], "\n", RowBox[{ RowBox[{"xLL", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"a", RowBox[{"(", RowBox[{"e", "-", RowBox[{"Cosh", "[", "theta", "]"}]}], ")"}]}]}], "\n", RowBox[{ RowBox[{"xRL", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{ RowBox[{"-", "a"}], RowBox[{"(", RowBox[{"e", "+", RowBox[{"Cosh", "[", "theta", "]"}]}], ")"}]}]}], "\n", RowBox[{ RowBox[{"yL", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"a", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], "-", "1"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}], RowBox[{"Sinh", "[", "theta", "]"}]}]}], "\n", RowBox[{ RowBox[{"xLR", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"a", RowBox[{"(", RowBox[{"e", "+", RowBox[{"Cosh", "[", "theta", "]"}]}], ")"}]}]}], "\n", RowBox[{ RowBox[{"xRR", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{ RowBox[{"-", "a"}], RowBox[{"(", RowBox[{"e", "-", RowBox[{"Cosh", "[", "theta", "]"}]}], ")"}]}]}], "\n", RowBox[{ RowBox[{"yR", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"a", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], "-", "1"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}], RowBox[{"Sinh", "[", "theta", "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"d1", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"xRL", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "\n", RowBox[{ RowBox[{"d2", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"yL", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "\n", RowBox[{ RowBox[{"d1R", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"xRL", "[", RowBox[{"theta", ",", RowBox[{"0.3", " ", "a"}], ",", "e"}], "]"}]}], "\n", RowBox[{ RowBox[{"d2R", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"yL", "[", RowBox[{"theta", ",", RowBox[{"0.3", " ", "a"}], ",", "e"}], "]"}]}], "\n", RowBox[{ RowBox[{"SG", "[", RowBox[{"theta_", ",", " ", "a_", ",", " ", "e_"}], "]"}], ":=", RowBox[{ RowBox[{ StyleBox["(", FontSize->18], StyleBox[" ", FontSize->18], RowBox[{ RowBox[{ RowBox[{"d1", "[", RowBox[{"theta", ",", " ", "a", ",", " ", "e"}], "]"}], "^", "2"}], "+", StyleBox[" ", FontSize->18], RowBox[{ RowBox[{"d2", "[", RowBox[{"theta", ",", " ", "a", ",", " ", "e"}], "]"}], "^", "2"}]}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"phiG", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{"-", RowBox[{"d2", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "/", RowBox[{"d1", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"phiR", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{"-", RowBox[{"d2R", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "/", RowBox[{"d1R", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "]"}]}], "\n", RowBox[{ RowBox[{"phi", "[", RowBox[{"theta_", ",", "a_", ",", "e_"}], "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{"-", RowBox[{"d2", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}]}], "/", RowBox[{"(", RowBox[{ RowBox[{"d1", "[", RowBox[{"theta", ",", "a", ",", "e"}], "]"}], "+", RowBox[{"2", " ", "a", " ", "e"}]}], ")"}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"thetp", "[", "phi_", "]"}], ":=", " ", RowBox[{"ArcCosh", "[", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{ RowBox[{"Tan", "[", "phi", "]"}], "^", "2"}]}], " ", "+", " ", RowBox[{ RowBox[{"Sec", "[", "phi", "]"}], RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], " ", "-", " ", "1"}], ")"}]}]}], ")"}], "/", RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], " ", "-", " ", RowBox[{ RowBox[{"Sec", "[", "phi", "]"}], "^", "2"}]}], ")"}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"thetm", "[", "phi_", "]"}], ":=", " ", RowBox[{"ArcCosh", "[", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{ RowBox[{"Tan", "[", "phi", "]"}], "^", "2"}]}], " ", "-", " ", RowBox[{ RowBox[{"Sec", "[", "phi", "]"}], RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], " ", "-", " ", "1"}], ")"}]}]}], ")"}], "/", RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], " ", "-", " ", RowBox[{ RowBox[{"Sec", "[", "phi", "]"}], "^", "2"}]}], ")"}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"phiGG", "[", "thetaG_", "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], "-", "1"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}], RowBox[{ RowBox[{"Sinh", "[", "thetaG", "]"}], "/", RowBox[{"(", RowBox[{"e", "-", RowBox[{"Cosh", "[", "thetaG", "]"}]}], ")"}]}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"phiRR", "[", "thetaR_", "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], "-", "1"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}], RowBox[{ RowBox[{"Sinh", "[", "thetaR", "]"}], "/", RowBox[{"(", RowBox[{"e", "-", RowBox[{"Cosh", "[", "thetaR", "]"}]}], ")"}]}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"thetaRR", "[", RowBox[{"thetaG_", ",", "e_"}], "]"}], ":=", RowBox[{"-", RowBox[{"ArcCosh", "[", RowBox[{ RowBox[{ RowBox[{"+", " ", RowBox[{"Cosh", "[", "thetaG", "]"}]}], "/", "0.3"}], "-", RowBox[{"(", RowBox[{"1", "/", RowBox[{"(", RowBox[{"e", " ", "0.3"}], ")"}]}], ")"}], "-", RowBox[{"1", "/", "e"}]}], "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"thetaRR2", "[", RowBox[{"thetaG_", ",", "e_"}], "]"}], ":=", RowBox[{"-", RowBox[{"ArcCosh", "[", RowBox[{ RowBox[{ RowBox[{"-", " ", RowBox[{"Cosh", "[", "thetaG", "]"}]}], "/", "0.3"}], "+", RowBox[{"(", RowBox[{"1", "/", RowBox[{"(", RowBox[{"e", " ", "0.3"}], ")"}]}], ")"}], "-", RowBox[{"1", "/", "e"}]}], "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"betaPP", "[", RowBox[{"thetaG_", ",", "a_", ",", "e_"}], "]"}], ":=", " ", RowBox[{ RowBox[{"ArcTan", "[", RowBox[{ RowBox[{"d2", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "/", RowBox[{"(", RowBox[{ RowBox[{"2", " ", "a", " ", "e"}], " ", "+", " ", RowBox[{"d1", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], ")"}]}], "]"}], " ", "-", " ", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{"d2R", "[", RowBox[{ RowBox[{"thetaRR", "[", RowBox[{"thetaG", ",", "e"}], "]"}], ",", "a", ",", "e"}], "]"}], "/", RowBox[{"d1R", "[", RowBox[{ RowBox[{"thetaRR", "[", RowBox[{"thetaG", ",", "e"}], "]"}], ",", "a", ",", "e"}], "]"}]}], "]"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsRp", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetp", "[", "phi", "]"}], "]"}]}], "-", "1"}], ")"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsGm", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{"0.3", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetaRR", "[", RowBox[{ RowBox[{"thetm", "[", "phi", "]"}], ",", "e"}], "]"}], "]"}]}], "+", "1"}], ")"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsRm", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetm", "[", "phi", "]"}], "]"}]}], "-", "1"}], ")"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"thetaGG", "[", RowBox[{"thetaR_", ",", "e_"}], "]"}], ":=", RowBox[{"ArcCosh", "[", RowBox[{ RowBox[{"0.3", " ", RowBox[{"Cosh", "[", "thetaR", "]"}]}], "+", " ", RowBox[{"1.3", "/", "e"}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"phiGG", "[", "thetaG_", "]"}], ":=", RowBox[{"ArcTan", "[", RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"e", "^", "2"}], "-", "1"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}], RowBox[{ RowBox[{"Sinh", "[", "thetaG", "]"}], "/", RowBox[{"(", RowBox[{"e", "-", RowBox[{"Cosh", "[", "thetaG", "]"}]}], ")"}]}]}], "]"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsR", "[", RowBox[{"thetaG_", ",", "e_"}], "]"}], ":=", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", "thetaG", "]"}]}], "-", "1"}], ")"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsRR", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetp", "[", "phi", "]"}], "]"}]}], "-", "1"}], ")"}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsG", "[", RowBox[{"thetaR_", ",", "e_"}], "]"}], ":=", RowBox[{"0.3", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", "thetaR", "]"}]}], "+", "1"}], ")"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsGG", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{ RowBox[{"(", RowBox[{ RowBox[{"(", RowBox[{"0.3", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetm", "[", "phi", "]"}], "]"}]}], "+", "1"}], ")"}]}], ")"}], "^", "2"}], ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{"rsGGA", "[", RowBox[{"phi_", ",", "e_"}], "]"}], ":=", RowBox[{ RowBox[{"(", " ", RowBox[{ RowBox[{"(", RowBox[{"0.3", RowBox[{"(", RowBox[{ RowBox[{"e", " ", RowBox[{"Cosh", "[", RowBox[{"thetaRR", "[", RowBox[{ RowBox[{"thetp", "[", "phi", "]"}], ",", "e"}], "]"}], "]"}]}], "+", "1"}], ")"}]}], ")"}], "^", "2"}], " ", ")"}], "^", RowBox[{"(", RowBox[{"1", "/", "2"}], ")"}]}]}], "\[IndentingNewLine]", RowBox[{"Animate", "[", RowBox[{ RowBox[{"ParametricPlot", "[", "\[IndentingNewLine]", RowBox[{ RowBox[{"{", RowBox[{"(*", "1", " ", "*)"}], RowBox[{ RowBox[{"{", StyleBox[ RowBox[{ RowBox[{"xRL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], " ", ",", "a", ",", "e"}], "]"}], ",", RowBox[{"yL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], " ", ",", "a", ",", "e"}], "]"}]}], FontSize->18], StyleBox["}", FontSize->18]}], StyleBox[",", FontSize->18], StyleBox["\[IndentingNewLine]", FontSize->18], RowBox[{"(*", "2", " ", "*)"}], StyleBox[ RowBox[{"{", RowBox[{ RowBox[{"xRR", "[", " ", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], " ", ",", "a", ",", "e"}], "]"}], ",", RowBox[{"yL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", "a", ",", "e"}], "]"}]}], "}"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox["\[IndentingNewLine]", FontSize->18], RowBox[{"(*", "3", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{"Xrot", "[", RowBox[{ RowBox[{"xRR", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"yL", "[", " ", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}], ",", " ", "\n", " ", RowBox[{"Yrot", "[", RowBox[{ RowBox[{"xRR", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", " ", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"yL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", " ", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}]}], "}"}], ",", StyleBox["\[IndentingNewLine]", FontSize->18], RowBox[{"(*", RowBox[{"4", " ", "Empty", " ", "green", " ", "focus"}], " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{"0.2", " ", RowBox[{"Cos", "[", "theta", " ", "]"}]}], ",", RowBox[{"0.2", " ", RowBox[{"Sin", "[", "theta", " ", "]"}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "5", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{"Xrot", "[", RowBox[{ RowBox[{"xRL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"yL", "[", " ", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", " ", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", " ", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}], ",", " ", "\n", " ", RowBox[{"Yrot", "[", RowBox[{ RowBox[{"xRL", "[", " ", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", " ", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"yL", "[", RowBox[{ RowBox[{"thetp", "[", "theta", "]"}], ",", " ", RowBox[{"0.3", " ", "a"}], ",", " ", "e"}], "]"}], ",", " ", RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", " ", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", RowBox[{"6", " ", "Red", " ", "particle"}], "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"0.2", " ", RowBox[{"(", RowBox[{ RowBox[{"1", "/", "2"}], " ", "-", " ", RowBox[{"theta", "/", RowBox[{"(", RowBox[{"2.6", " ", "Pi"}], ")"}]}]}], ")"}], " ", RowBox[{"Cos", "[", RowBox[{"6", " ", "theta"}], "]"}]}], "-", RowBox[{"2", " ", "a", " ", "e"}]}], ",", RowBox[{"0.2", " ", RowBox[{"(", RowBox[{ RowBox[{"1", "/", "2"}], " ", "-", " ", RowBox[{"theta", "/", RowBox[{"(", RowBox[{"2.6", " ", "Pi"}], ")"}]}]}], ")"}], " ", RowBox[{"Sin", "[", RowBox[{"6", " ", "theta"}], "]"}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", RowBox[{"7", " ", "Green", " ", "particle"}], " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "+", " ", RowBox[{"0.2", " ", RowBox[{"(", RowBox[{ RowBox[{"1", "/", "2"}], " ", "-", " ", RowBox[{"theta", "/", RowBox[{"(", RowBox[{"2.6", " ", "Pi"}], ")"}]}]}], ")"}], " ", RowBox[{"Cos", "[", RowBox[{"6", " ", "theta"}], "]"}]}]}], ",", "\[IndentingNewLine]", RowBox[{ RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "+", " ", RowBox[{"0.2", " ", RowBox[{"(", RowBox[{ RowBox[{"1", "/", "2"}], " ", "-", " ", RowBox[{"theta", "/", RowBox[{"(", RowBox[{"2.6", " ", "Pi"}], ")"}]}]}], ")"}], " ", RowBox[{"Sin", "[", RowBox[{"6", " ", "theta"}], "]"}]}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "8", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "+", RowBox[{ RowBox[{"(", RowBox[{"2", " ", "0.3", " ", "a", " ", "e"}], ")"}], " ", RowBox[{"Cos", "[", "theta", " ", "]"}]}]}], ",", "\[IndentingNewLine]", RowBox[{ RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "+", RowBox[{ RowBox[{"(", RowBox[{"2", " ", "0.3", " ", "a", " ", "e"}], ")"}], " ", RowBox[{"Sin", "[", "theta", " ", "]"}]}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "9", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"0.2", " ", RowBox[{"Cos", "[", "theta", "]"}]}], " ", "+", " ", RowBox[{"Xrot", "[", RowBox[{ RowBox[{"-", RowBox[{"(", RowBox[{"2", " ", "0.3", " ", "a", " ", "e"}], " ", ")"}]}], " ", ",", " ", "0", ",", " ", RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}]}], ",", " ", "\n", " ", RowBox[{ RowBox[{"0.2", " ", RowBox[{"Sin", "[", "theta", "]"}]}], "+", " ", RowBox[{"Yrot", "[", RowBox[{ RowBox[{"-", RowBox[{"(", RowBox[{"2", " ", "0.3", " ", "a", " ", "e"}], " ", ")"}]}], ",", " ", "0", ",", " ", RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "10", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{"theta", " ", RowBox[{ RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "/", "4"}]}], " ", ",", RowBox[{"theta", " ", RowBox[{ RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "/", "4"}]}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "11", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ RowBox[{"-", " ", "2"}], " ", "a", " ", "e"}], "+", RowBox[{"2", " ", "theta", RowBox[{ RowBox[{"(", " ", RowBox[{ RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], " ", "+", RowBox[{"2", " ", "a", " ", "e"}]}], ")"}], "/", "7"}]}]}], " ", ",", RowBox[{"2", " ", "theta", " ", RowBox[{ RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], "/", "7"}]}]}], " ", "}"}], ",", RowBox[{"(*", "12", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{"Xrot", "[", RowBox[{ RowBox[{"3", " ", "theta"}], ",", " ", "0", ",", " ", RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}], ",", " ", "\n", " ", RowBox[{"Yrot", "[", RowBox[{ RowBox[{"3", " ", "theta"}], ",", " ", "0", ",", " ", RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}], ",", RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}]}], "]"}]}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "13", " ", "*)"}], RowBox[{"{", RowBox[{ RowBox[{ RowBox[{"3", " ", "theta"}], " ", "-", " ", RowBox[{"2", " ", "a", " ", "e"}]}], ",", "0"}], "}"}], ",", "\[IndentingNewLine]", RowBox[{"(*", "14", " ", "*)"}], RowBox[{ StyleBox["{", FontSize->18], RowBox[{ RowBox[{ StyleBox["Xrot", FontSize->18], StyleBox["[", FontSize->18], RowBox[{ RowBox[{ RowBox[{ StyleBox["-", FontSize->18], RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}]}], RowBox[{"Cos", "[", RowBox[{"PhiR", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], ",", RowBox[{ RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}], RowBox[{"Sin", "[", RowBox[{"PhiR", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], StyleBox[",", FontSize->18], StyleBox[ RowBox[{ RowBox[{"-", "2"}], " ", "a", " ", "e"}], FontSize->18], StyleBox[",", FontSize->18], RowBox[{ RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "-", "Pi"}]}], StyleBox[" ", FontSize->18], StyleBox["]", FontSize->18]}], StyleBox[",", FontSize->18], StyleBox["\[IndentingNewLine]", FontSize->18], RowBox[{ StyleBox["Yrot", FontSize->18], StyleBox["[", FontSize->18], RowBox[{ RowBox[{ RowBox[{ StyleBox["-", FontSize->18], RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}]}], RowBox[{"Cos", "[", RowBox[{"PhiR", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], ",", RowBox[{ RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}], RowBox[{"Sin", "[", RowBox[{"PhiR", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], StyleBox[",", FontSize->18], StyleBox["0", FontSize->18], StyleBox[",", FontSize->18], RowBox[{ RowBox[{"betaPP", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "-", "Pi"}]}], StyleBox["]", FontSize->18]}]}], StyleBox["}", FontSize->18]}], StyleBox[",", FontSize->18], "\[IndentingNewLine]", StyleBox[ RowBox[{"(*", "15", " ", "*)"}], FontSize->18], StyleBox["\[IndentingNewLine]", FontSize->18], RowBox[{ StyleBox["{", FontSize->18], RowBox[{ RowBox[{ StyleBox["Xrot", FontSize->18], StyleBox["[", FontSize->18], RowBox[{ RowBox[{ RowBox[{ StyleBox["-", FontSize->18], RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}]}], RowBox[{"Cos", "[", RowBox[{"phi", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], ",", RowBox[{ RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}], RowBox[{"Sin", "[", RowBox[{"phi", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"+", RowBox[{"d1", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}]}], FontSize->18], StyleBox[",", FontSize->18], StyleBox["0", FontSize->18]}], StyleBox["]", FontSize->18]}], StyleBox[",", FontSize->18], StyleBox["\[IndentingNewLine]", FontSize->18], StyleBox[ RowBox[{"Yrot", "[", RowBox[{ RowBox[{ RowBox[{"-", RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}]}], RowBox[{"Cos", "[", RowBox[{"phi", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], ",", RowBox[{ RowBox[{"rsG", "[", RowBox[{"theta", ",", "e"}], "]"}], RowBox[{"Sin", "[", RowBox[{"phi", "[", RowBox[{"thetaG", ",", "a", ",", "e"}], "]"}], "]"}]}], ",", RowBox[{"+", RowBox[{"d2", "[", RowBox[{"thetaG", ",", " ", "a", ",", " ", "e"}], "]"}]}], ",", "0"}], "]"}], FontSize->18]}], StyleBox["}", FontSize->18]}]}], "}"}], ",", "\[IndentingNewLine]", StyleBox[ RowBox[{"{", RowBox[{"theta", ",", RowBox[{ RowBox[{"-", "1.3"}], " ", "Pi"}], ",", " ", RowBox[{ RowBox[{"+", "1.3"}], " ", "Pi"}]}], "}"}], FontSize->18], StyleBox[",", FontSize->18], RowBox[{ StyleBox["PlotRange", FontSize->18], StyleBox["\[Rule]", FontSize->18], RowBox[{"{", RowBox[{ RowBox[{"-", "10"}], ",", RowBox[{"+", "10"}]}], "}"}]}], ",", "\[IndentingNewLine]", RowBox[{"{", RowBox[{ StyleBox["PlotStyle", FontSize->18], StyleBox["\[Rule]", FontSize->18], RowBox[{"{", StyleBox[" ", FontSize->18], RowBox[{ StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[" ", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0.6", ",", " ", "0.5"}], "]"}], FontSize->18], ",", " ", RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", "1", " ", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[" ", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], ",", "\[IndentingNewLine]", StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"0", ",", " ", "1", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", "0", ",", " ", "0"}], "]"}], FontSize->18], StyleBox[",", FontSize->18], StyleBox[" ", FontSize->18], StyleBox[ RowBox[{"RGBColor", "[", RowBox[{"1", ",", " ", "0", ",", " ", "0"}], "]"}], FontSize->18]}], "}"}]}], "}"}]}], "]"}], ",", RowBox[{"{", RowBox[{"thetaG", ",", RowBox[{"{", RowBox[{ RowBox[{"-", "1.52"}], ",", RowBox[{"-", "1.51"}], ",", RowBox[{"-", "1.50"}], ",", RowBox[{"-", "1.49"}], ",", RowBox[{"-", "1.48"}], ",", RowBox[{"-", "1.47"}], ",", RowBox[{"-", "1.46"}], ",", RowBox[{"-", "1.45"}], ",", RowBox[{"-", "1.44"}], ",", RowBox[{"-", "1.43"}], ",", RowBox[{"-", "1.42"}], ",", RowBox[{"-", "1.41"}], ",", RowBox[{"-", "1.40"}], ",", RowBox[{"-", "1.39"}], ",", RowBox[{"-", "1.38"}], ",", RowBox[{"-", "1.37"}], ",", RowBox[{"-", "1.36"}], ",", RowBox[{"-", "1.35"}], ",", RowBox[{"-", "1.34"}], ",", RowBox[{"-", "1.33"}], ",", RowBox[{"-", "1.32"}], ",", RowBox[{"-", "1.31"}], ",", RowBox[{"-", "1.30"}], ",", RowBox[{"-", "1.29"}], ",", RowBox[{"-", "1.28"}], ",", RowBox[{"-", "1.27"}], ",", RowBox[{"-", "1.26"}], ",", RowBox[{"-", "1.25"}], ",", RowBox[{"-", "1.24"}], ",", RowBox[{"-", "1.23"}], ",", RowBox[{"-", "1.22"}], ",", RowBox[{"-", "1.21"}], ",", RowBox[{"-", "1.20"}], ",", RowBox[{"-", "1.19"}], ",", RowBox[{"-", "1.18"}], ",", RowBox[{"-", "1.17"}], ",", RowBox[{"-", "1.16"}], ",", RowBox[{"-", "1.15"}], ",", RowBox[{"-", "1.14"}], ",", RowBox[{"-", "1.13"}], ",", RowBox[{"-", "1.12"}], ",", RowBox[{"-", "1.11"}], ",", RowBox[{"-", "1.10"}], ",", RowBox[{"-", "1.09"}], ",", RowBox[{"-", "1.08"}], ",", RowBox[{"-", "1.07"}], ",", RowBox[{"-", "1.06"}], ",", RowBox[{"-", "1.05"}], ",", RowBox[{"-", "1.04"}], ",", RowBox[{"-", "1.03"}], ",", RowBox[{"-", "1.02"}], ",", RowBox[{"-", "1.01"}], ",", RowBox[{"-", "1.00"}], ",", RowBox[{"-", "0.99"}], ",", RowBox[{"-", "0.98"}], ",", RowBox[{"-", "0.97"}], ",", RowBox[{"-", "0.96"}], ",", RowBox[{"-", "0.95"}], ",", RowBox[{"-", "0.94"}], ",", RowBox[{"-", "0.93"}], ",", RowBox[{"-", "0.92"}], ",", RowBox[{"-", "0.91"}], ",", RowBox[{"-", "0.90"}], ",", RowBox[{"-", "0.89"}], ",", RowBox[{"-", "0.88"}], ",", RowBox[{"-", "0.87"}], ",", RowBox[{"-", "0.86"}], ",", RowBox[{"-", "0.85"}], ",", RowBox[{"-", "0.84"}], ",", RowBox[{"-", "0.83"}], ",", RowBox[{"-", "0.82"}], ",", RowBox[{"-", "0.81"}], ",", RowBox[{"-", "0.80"}], ",", RowBox[{"-", "0.79"}], ",", RowBox[{"-", "0.78"}], ",", RowBox[{"-", "0.77"}], ",", RowBox[{"-", "0.76"}], ",", RowBox[{"-", "0.75"}], ",", RowBox[{"-", "0.74"}], ",", RowBox[{"-", "0.73"}], ",", RowBox[{"-", "0.72"}], ",", RowBox[{"-", "0.71"}], ",", RowBox[{"-", "0.70"}], ",", RowBox[{"-", "0.69"}], ",", RowBox[{"-", "0.68"}], ",", RowBox[{"-", "0.67"}], ",", RowBox[{"-", "0.66"}], ",", RowBox[{"-", "0.65"}], ",", RowBox[{"-", "0.64"}], ",", RowBox[{"-", "0.63"}], ",", RowBox[{"-", "0.62"}], ",", RowBox[{"-", "0.61"}], ",", RowBox[{"-", "0.60"}], ",", RowBox[{"-", "0.59"}], ",", RowBox[{"-", "0.58"}], ",", RowBox[{"-", "0.57"}], ",", RowBox[{"-", "0.56"}], ",", RowBox[{"-", "0.55"}], ",", RowBox[{"-", "0.54"}], ",", RowBox[{"-", "0.53"}], ",", RowBox[{"-", "0.52"}], ",", RowBox[{"-", "0.51"}], ",", RowBox[{"-", "0.50"}], ",", RowBox[{"-", "0.49"}], ",", RowBox[{"-", "0.48"}], ",", RowBox[{"-", "0.47"}], ",", RowBox[{"-", "0.46"}], ",", RowBox[{"-", "0.45"}], ",", RowBox[{"-", "0.44"}], ",", RowBox[{"-", "0.43"}], ",", RowBox[{"-", "0.42"}], ",", RowBox[{"-", "0.41"}], ",", RowBox[{"-", "0.40"}], ",", RowBox[{"-", "0.39"}], ",", RowBox[{"-", "0.38"}], ",", RowBox[{"-", "0.37"}], ",", RowBox[{"-", "0.36"}], ",", RowBox[{"-", "0.35"}], ",", RowBox[{"-", "0.34"}], ",", RowBox[{"-", "0.33"}], ",", RowBox[{"-", "0.32"}], ",", RowBox[{"-", "0.31"}], ",", RowBox[{"-", "0.30"}], ",", RowBox[{"-", "0.29"}], ",", RowBox[{"-", "0.28"}], ",", RowBox[{"-", "0.27"}], ",", RowBox[{"-", "0.26"}], ",", RowBox[{"-", "0.25"}], ",", RowBox[{"-", "0.24"}], ",", RowBox[{"-", "0.23"}], ",", RowBox[{"-", "0.22"}], ",", RowBox[{"-", "0.21"}], ",", RowBox[{"-", "0.20"}], ",", RowBox[{"-", "0.19"}], ",", RowBox[{"-", "0.18"}], ",", RowBox[{"-", "0.17"}], ",", RowBox[{"-", "0.16"}], ",", RowBox[{"-", "0.15"}], ",", RowBox[{"-", "0.14"}], ",", RowBox[{"-", "0.13"}], ",", RowBox[{"-", "0.12"}], ",", RowBox[{"-", "0.11"}], ",", RowBox[{"-", "0.10"}], ",", RowBox[{"-", "0.09"}], ",", RowBox[{"-", "0.08"}], ",", RowBox[{"-", "0.07"}], ",", RowBox[{"-", "0.06"}], ",", RowBox[{"-", "0.05"}], ",", RowBox[{"-", "0.04"}], ",", RowBox[{"-", "0.03"}], ",", RowBox[{"-", "0.02"}], ",", RowBox[{"-", "0.01"}], ",", "0.0", ",", "0.01", ",", "0.02", ",", "0.03", ",", "0.04", ",", "0.05", ",", "0.06", ",", "0.07", ",", "0.08", ",", "0.09", ",", "0.10", ",", "0.11", ",", "0.12", ",", "0.13", ",", "0.14", ",", "0.15", ",", "0.16", ",", "0.17", ",", "0.18", ",", "0.19", ",", "0.20", ",", "0.21", ",", "0.22", ",", "0.23", ",", "0.24", ",", "0.25", ",", "0.26", ",", "0.27", ",", "0.28", ",", "0.29", ",", "0.30", ",", "0.31", ",", "0.32", ",", "0.33", ",", "0.34", ",", "0.35", ",", "0.36", ",", "0.37", ",", "0.38", ",", "0.39", ",", "0.40", ",", "0.41", ",", "0.42", ",", "0.43", ",", "0.44", ",", "0.45", ",", "0.46", ",", "0.47", ",", "0.48", ",", "0.49", ",", "0.50", ",", "0.51", ",", "0.52", ",", "0.53", ",", "0.54", ",", "0.55", ",", "0.56", ",", "0.57", ",", "0.58", ",", "0.59", ",", "0.60", ",", "0.61", ",", "0.62", ",", "0.63", ",", "0.64", ",", "0.65", ",", "0.66", ",", "0.67", ",", "0.68", ",", "0.69", ",", "0.70", ",", "0.71", ",", "0.72", ",", "0.73", ",", "0.74", ",", "0.75", ",", "0.76", ",", "0.77", ",", "0.78", ",", "0.79", ",", "0.80", ",", "0.81", ",", "0.82", ",", "0.83", ",", "0.84", ",", "0.85", ",", "0.86", ",", "0.87", ",", "0.88", ",", "0.89", ",", "0.90", ",", "0.91", ",", "0.92", ",", "0.93", ",", "0.94", ",", "0.95", ",", "0.96", ",", "0.97", ",", "0.98", ",", "0.99", ",", "1.00", ",", "1.01", ",", "1.02", ",", "1.03", ",", "1.04", ",", "1.05", ",", "1.06", ",", "1.07", ",", "1.08", ",", "1.09", ",", "1.10", ",", "1.11", ",", "1.12", ",", "1.13", ",", "1.14", ",", "1.15", ",", "1.16", ",", "1.17", ",", "1.18", ",", "1.19", ",", "1.20", ",", "1.21", ",", "1.22", ",", "1.23", ",", "1.24", ",", "1.25", ",", "1.26", ",", "1.27", ",", "1.28", ",", "1.29", ",", "1.30", ",", "1.31", ",", "1.32", ",", "1.33", ",", "1.34", ",", "1.35", ",", "1.36", ",", "1.37", ",", "1.38", ",", "1.39", ",", "1.40", ",", "1.41", ",", "1.42", ",", "1.43", ",", "1.44", ",", "1.45", ",", "1.46", ",", "1.47", ",", "1.48", ",", "1.49", ",", "1.50", ",", "1.51", ",", "1.52"}], "}"}]}], "}"}]}], "]"}], "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]", "\[IndentingNewLine]"}]}]], "Input", CellChangeTimes->{ 3.456497533734375*^9, {3.456506008875*^9, 3.456506052375*^9}, 3.4565060878125*^9, {3.456506154375*^9, 3.45650618690625*^9}, 3.456506318921875*^9, {3.45650636084375*^9, 3.4565063698125*^9}, 3.456506478203125*^9, {3.456506548453125*^9, 3.45650658125*^9}, { 3.456506628859375*^9, 3.45650671303125*^9}, {3.45650688040625*^9, 3.456506908640625*^9}, {3.456506972359375*^9, 3.4565069864375*^9}, { 3.45650701809375*^9, 3.456507025203125*^9}, 3.456507077078125*^9, { 3.456507111078125*^9, 3.4565071595625*^9}, {3.45650722909375*^9, 3.456507236390625*^9}, {3.456507509859375*^9, 3.456507516890625*^9}, { 3.45650776890625*^9, 3.456507776640625*^9}, {3.45650830396875*^9, 3.45650831965625*^9}, {3.4565083936875*^9, 3.456508422140625*^9}, { 3.4565084575*^9, 3.45650846578125*^9}, {3.456508569171875*^9, 3.456508613609375*^9}, {3.45650866325*^9, 3.4565086670625*^9}, { 3.45650880059375*^9, 3.45650882034375*^9}, {3.4565089138125*^9, 3.456508925421875*^9}, {3.456508970140625*^9, 3.456509007890625*^9}, { 3.456509041859375*^9, 3.45650904325*^9}, {3.456509098125*^9, 3.45650909865625*^9}, {3.456509167625*^9, 3.45650931278125*^9}, { 3.45650944971875*^9, 3.45650945521875*^9}, {3.456509528203125*^9, 3.45650958696875*^9}, {3.456509654828125*^9, 3.45650969775*^9}, { 3.456509794*^9, 3.456509799734375*^9}, {3.4565413989375*^9, 3.456541404578125*^9}, {3.45654789309375*^9, 3.456547955359375*^9}, { 3.456547986765625*^9, 3.45654816759375*^9}, {3.456548303125*^9, 3.456548329609375*^9}, {3.456548513640625*^9, 3.456548555921875*^9}, { 3.45654884915625*^9, 3.4565488625*^9}, {3.4565512625625*^9, 3.456551305828125*^9}, {3.456551338828125*^9, 3.45655135534375*^9}, { 3.456551426734375*^9, 3.45655162165625*^9}, {3.4565516851875*^9, 3.45655174878125*^9}, 3.456551785171875*^9, {3.45655182203125*^9, 3.456551842484375*^9}, {3.456551964578125*^9, 3.456551982578125*^9}, { 3.456552052625*^9, 3.456552064296875*^9}, {3.456552126234375*^9, 3.456552130453125*^9}, {3.4565521666875*^9, 3.4565521730625*^9}, { 3.456552274296875*^9, 3.4565523226875*^9}, 3.456552353703125*^9, { 3.456552389609375*^9, 3.456552423671875*^9}, {3.4565524714375*^9, 3.45655251296875*^9}, {3.456552559296875*^9, 3.45655261875*^9}, { 3.4565526496875*^9, 3.456552690796875*^9}, {3.456552763015625*^9, 3.45655276459375*^9}, 3.45655289865625*^9, {3.45655295090625*^9, 3.456553009625*^9}, 3.456553132328125*^9, 3.456553471640625*^9, { 3.456553677734375*^9, 3.456553686640625*^9}, {3.45655376753125*^9, 3.456553772984375*^9}, {3.456553880578125*^9, 3.456553889890625*^9}, { 3.4565539436875*^9, 3.45655395096875*^9}, {3.456554020171875*^9, 3.456554025125*^9}, {3.456562111140625*^9, 3.4565621660625*^9}, 3.45656223075*^9, {3.456562277265625*^9, 3.45656228525*^9}, { 3.45656232771875*^9, 3.456562466140625*^9}, {3.45656252184375*^9, 3.456562639578125*^9}, {3.45656286178125*^9, 3.45656286859375*^9}, { 3.45656325221875*^9, 3.45656327565625*^9}, {3.456563726328125*^9, 3.4565637313125*^9}, {3.45656389646875*^9, 3.456563953171875*^9}, { 3.456564089328125*^9, 3.456564322515625*^9}, 3.45656441675*^9, { 3.456564529375*^9, 3.456564531390625*^9}, {3.4565646721875*^9, 3.45656467371875*^9}, {3.4565726869375*^9, 3.45657269409375*^9}, { 3.45657306909375*^9, 3.4565730735*^9}, {3.456573120734375*^9, 3.456573124109375*^9}, {3.45657316271875*^9, 3.45657319109375*^9}, { 3.4565738831875*^9, 3.45657388703125*^9}, {3.45657394259375*^9, 3.456573974375*^9}, {3.45657404478125*^9, 3.456574125265625*^9}, { 3.45657428525*^9, 3.45657442090625*^9}, {3.4565745120625*^9, 3.45657452996875*^9}, {3.4565745646875*^9, 3.456574565453125*^9}, { 3.456574617609375*^9, 3.456574869671875*^9}, {3.456575143890625*^9, 3.45657537990625*^9}, {3.456577163*^9, 3.45657721784375*^9}, { 3.45657756515625*^9, 3.4565776103125*^9}, {3.45657786965625*^9, 3.456577918984375*^9}, {3.4565782311875*^9, 3.456578276734375*^9}, { 3.456578536234375*^9, 3.456578585140625*^9}, {3.456587977484375*^9, 3.456587978078125*^9}, {3.45658807084375*^9, 3.456588071734375*^9}, { 3.45658822215625*^9, 3.456588224875*^9}, {3.456588273109375*^9, 3.4565884088125*^9}, {3.456588523625*^9, 3.45658857878125*^9}, { 3.456588824859375*^9, 3.456588836953125*^9}, {3.456588876671875*^9, 3.456588926234375*^9}, {3.45658957253125*^9, 3.456589578546875*^9}, { 3.45658961546875*^9, 3.4565896203125*^9}, {3.456589755703125*^9, 3.45658975703125*^9}, {3.45658982903125*^9, 3.45658983078125*^9}, { 3.45658990784375*^9, 3.4565899096875*^9}, {3.456598557328125*^9, 3.4565985963125*^9}, {3.45659863703125*^9, 3.456598693515625*^9}, { 3.456598747*^9, 3.456598787859375*^9}, {3.456598850609375*^9, 3.456598893890625*^9}, {3.45663520590625*^9, 3.4566354223125*^9}, 3.456635469234375*^9, {3.456635612921875*^9, 3.45663589509375*^9}, { 3.45663605790625*^9, 3.456636394921875*^9}, {3.4566365405*^9, 3.456636657265625*^9}, {3.45663687746875*^9, 3.4566372786875*^9}, { 3.45663752884375*^9, 3.45663763934375*^9}, {3.456637823765625*^9, 3.456637839515625*^9}, {3.456638033765625*^9, 3.456638041046875*^9}, { 3.456638104703125*^9, 3.456638112546875*^9}, {3.45665245409375*^9, 3.45665264925*^9}, 3.4566555489375*^9, {3.456655859453125*^9, 3.45665587809375*^9}, {3.456655960859375*^9, 3.456656047890625*^9}, { 3.456656093484375*^9, 3.456656098765625*^9}, {3.456656189078125*^9, 3.45665630471875*^9}, {3.45665673671875*^9, 3.456656750875*^9}, { 3.456659131359375*^9, 3.456659244703125*^9}, 3.456659298921875*^9, { 3.45665934428125*^9, 3.456659362078125*^9}, {3.45665939240625*^9, 3.456659695671875*^9}, {3.4566597386875*^9, 3.456659769734375*^9}, 3.45666007653125*^9, {3.456720546859375*^9, 3.45672056896875*^9}, { 3.456720659078125*^9, 3.45672071740625*^9}, 3.456720751328125*^9, { 3.456720803140625*^9, 3.45672081378125*^9}, {3.456720885015625*^9, 3.456720900859375*^9}, {3.456721420453125*^9, 3.45672143896875*^9}, 3.45672149796875*^9, {3.45672686159375*^9, 3.45672701059375*^9}, { 3.456727097875*^9, 3.456727221359375*^9}, {3.456727383140625*^9, 3.456727386703125*^9}, {3.456727536*^9, 3.45672754209375*^9}, 3.456727613640625*^9, {3.456744359171875*^9, 3.4567443799375*^9}, { 3.45674443853125*^9, 3.45674444625*^9}, {3.456744502671875*^9, 3.45674450715625*^9}, {3.456744539328125*^9, 3.456744554515625*^9}, { 3.45674458678125*^9, 3.456744671078125*^9}, {3.4567447015625*^9, 3.456744719625*^9}, {3.45674475896875*^9, 3.456744775859375*^9}, { 3.45674484646875*^9, 3.456744923359375*^9}, 3.4567449994375*^9, 3.4567451065*^9, {3.45674554303125*^9, 3.456745566515625*^9}, { 3.456745830234375*^9, 3.456745830859375*^9}, {3.4567573885*^9, 3.456757413234375*^9}, {3.4567574476875*^9, 3.45675751859375*^9}, { 3.456757553546875*^9, 3.4567575630625*^9}, {3.456757600328125*^9, 3.456757617109375*^9}, 3.45675765075*^9, 3.456757730703125*^9, { 3.456759888328125*^9, 3.456759898859375*^9}, 3.456759935734375*^9, { 3.456759965984375*^9, 3.456760005015625*^9}, {3.456760159078125*^9, 3.45676022709375*^9}, 3.456760269453125*^9, {3.456760321234375*^9, 3.4567603280625*^9}, {3.456760411125*^9, 3.456760419796875*^9}, { 3.456760791015625*^9, 3.45676079703125*^9}, 3.4567609359375*^9, 3.45676103090625*^9, {3.456761073046875*^9, 3.456761098375*^9}, { 3.456761218953125*^9, 3.456761255890625*^9}, {3.4567613593125*^9, 3.45676135978125*^9}, {3.45676150003125*^9, 3.45676151046875*^9}, { 3.45676154384375*^9, 3.4567615485*^9}, {3.456762050203125*^9, 3.456762130109375*^9}, {3.45676220146875*^9, 3.45676223646875*^9}, { 3.4567623095*^9, 3.45676235846875*^9}, {3.45676250528125*^9, 3.456762518859375*^9}, {3.4567626141875*^9, 3.456762630578125*^9}, { 3.456762797203125*^9, 3.456762819609375*^9}, {3.456762940890625*^9, 3.456762946203125*^9}, {3.45676302075*^9, 3.4567630235625*^9}, { 3.456763108734375*^9, 3.456763117453125*^9}, {3.456812553109375*^9, 3.456812641078125*^9}, 3.4568127265*^9, {3.4568257292454443`*^9, 3.4568257344022217`*^9}, {3.456825776484656*^9, 3.4568258270523334`*^9}, { 3.456825879338937*^9, 3.4568259438142886`*^9}, {3.456825983630865*^9, 3.4568260516690817`*^9}, {3.456826194527331*^9, 3.4568262157947254`*^9}, { 3.4568265394466505`*^9, 3.456826547212922*^9}, {3.456826597920265*^9, 3.456826598529691*^9}, {3.4568268282675533`*^9, 3.456826840877978*^9}, { 3.4568269802802*^9, 3.4568269856400213`*^9}, {3.4568271909383507`*^9, 3.4568271977670436`*^9}, {3.4568274043899145`*^9, 3.456827442157956*^9}, { 3.456827628701144*^9, 3.456827657765504*^9}, 3.4568277692101364`*^9, { 3.4568283087281084`*^9, 3.4568283513865423`*^9}, {3.456828452422965*^9, 3.4568284532667584`*^9}, {3.456828522035904*^9, 3.4568285446933146`*^9}, { 3.456828868491142*^9, 3.456828874194559*^9}, {3.4568289503859596`*^9, 3.456828951511017*^9}, {3.4568289989978237`*^9, 3.456829003966828*^9}, { 3.4568291735848866`*^9, 3.4568291764444084`*^9}, {3.4568292542296405`*^9, 3.456829257386052*^9}, {3.456829326404787*^9, 3.456829326936061*^9}, { 3.456829385063665*^9, 3.456829395892275*^9}, 3.456829478614731*^9, 3.456829757314716*^9, {3.456829938354076*^9, 3.4568299424323835`*^9}, { 3.4568302320547333`*^9, 3.4568303267930803`*^9}, {3.4568303630600977`*^9, 3.456830400858424*^9}, {3.4568304335159283`*^9, 3.4568304780645137`*^9}, { 3.4568305157690864`*^9, 3.456830525394456*^9}, 3.456830609428933*^9, { 3.456830790264002*^9, 3.4568308045614257`*^9}, 3.456853661203125*^9, { 3.45685414390625*^9, 3.4568542245*^9}, {3.4568551468125*^9, 3.456855151296875*^9}, {3.45685520896875*^9, 3.456855222609375*^9}, { 3.456855321734375*^9, 3.45685534690625*^9}, {3.45691230946875*^9, 3.456912321828125*^9}, {3.456912363890625*^9, 3.4569123871875*^9}, 3.45691244578125*^9, {3.456912685046875*^9, 3.45691273965625*^9}, { 3.456912842203125*^9, 3.45691288159375*^9}, 3.45691294771875*^9, 3.45691299025*^9, 3.45691335828125*^9, {3.45691346215625*^9, 3.45691346284375*^9}, {3.456913577609375*^9, 3.456913609796875*^9}, { 3.456913810515625*^9, 3.456913851875*^9}, 3.456913918140625*^9, { 3.456914167765625*^9, 3.45691417990625*^9}, {3.45691434034375*^9, 3.456914466171875*^9}, {3.456915548828125*^9, 3.45691556746875*^9}, { 3.4569159445625*^9, 3.456915977859375*^9}, 3.456916334546875*^9, 3.456916435296875*^9, {3.4569166780625*^9, 3.456916697046875*^9}, { 3.456923620984375*^9, 3.456923660828125*^9}, {3.456923915703125*^9, 3.45692392375*^9}, {3.456923954328125*^9, 3.456923977265625*^9}, { 3.456924208921875*^9, 3.456924213890625*^9}, {3.456927745046875*^9, 3.456927778203125*^9}, {3.456927812875*^9, 3.45692782815625*^9}, { 3.456927966578125*^9, 3.4569279826875*^9}, {3.45692817728125*^9, 3.456928204125*^9}, {3.456928464828125*^9, 3.45692848471875*^9}, { 3.456928567109375*^9, 3.4569285815625*^9}, {3.45692862675*^9, 3.456928695890625*^9}, {3.456928888578125*^9, 3.45692889515625*^9}, { 3.456928947234375*^9, 3.456928982859375*^9}, {3.45692909546875*^9, 3.456929104359375*^9}, {3.4569291620625*^9, 3.456929197578125*^9}, { 3.456930151796875*^9, 3.45693017065625*^9}, {3.456930256234375*^9, 3.45693031975*^9}, {3.456935430609375*^9, 3.456935437953125*^9}, { 3.45693550128125*^9, 3.4569355050625*^9}, {3.456935554296875*^9, 3.4569355550625*^9}, {3.456935587046875*^9, 3.456935589890625*^9}, { 3.45693562009375*^9, 3.45693573059375*^9}, 3.456935765359375*^9, { 3.456935893703125*^9, 3.456935963859375*^9}, {3.456936010546875*^9, 3.4569360178125*^9}, {3.45693628696875*^9, 3.456936313625*^9}, { 3.4569364006875*^9, 3.456936430265625*^9}, {3.456936489328125*^9, 3.4569365390625*^9}, {3.45693662375*^9, 3.456936632390625*^9}, { 3.456936804796875*^9, 3.45693682159375*^9}, 3.456936863484375*^9, { 3.4569369009375*^9, 3.456936906296875*^9}, {3.456936939359375*^9, 3.456936944671875*^9}, {3.45694575684375*^9, 3.45694576*^9}, { 3.4569460268125*^9, 3.456946054828125*^9}, {3.456946169125*^9, 3.4569461904375*^9}, {3.456982682171875*^9, 3.456982688*^9}, { 3.456982949671875*^9, 3.456982954875*^9}, {3.4569830775*^9, 3.456983135125*^9}, {3.456983225125*^9, 3.456983226046875*^9}, { 3.456983281578125*^9, 3.456983335546875*^9}, {3.45698336621875*^9, 3.45698339825*^9}, {3.456983473328125*^9, 3.456983514078125*^9}, { 3.4569835704375*^9, 3.456983612046875*^9}, {3.45698366278125*^9, 3.456983689953125*^9}, {3.456983914921875*^9, 3.456983915796875*^9}, { 3.4569840973125*^9, 3.4569841013125*^9}, {3.45698435515625*^9, 3.456984421203125*^9}, {3.456984539578125*^9, 3.456984661046875*^9}, { 3.456984948734375*^9, 3.456984954109375*^9}, {3.456986147109375*^9, 3.45698616509375*^9}, {3.456986206359375*^9, 3.456986257953125*^9}, { 3.456986334625*^9, 3.4569863956875*^9}, {3.45698864703125*^9, 3.456988670125*^9}, {3.45698879359375*^9, 3.456988884453125*^9}, { 3.456988977453125*^9, 3.4569890155625*^9}, 3.456989297453125*^9, { 3.4569897671875*^9, 3.456989818984375*^9}, {3.45699956875*^9, 3.456999623203125*^9}, {3.456999673484375*^9, 3.4569996970625*^9}, { 3.456999801140625*^9, 3.456999801765625*^9}, {3.456999896671875*^9, 3.456999900703125*^9}, {3.457000096921875*^9, 3.457000110609375*^9}, { 3.457000272140625*^9, 3.457000283984375*^9}, {3.457000402796875*^9, 3.457000417890625*^9}, {3.457000490734375*^9, 3.457000502296875*^9}, { 3.45700061690625*^9, 3.457000628515625*^9}, 3.45700068553125*^9, { 3.457000721296875*^9, 3.457000743828125*^9}, 3.4570011375*^9, 3.45700117875*^9, 3.4570012501875*^9, 3.45700128865625*^9, { 3.45700137353125*^9, 3.4570013749375*^9}, {3.45700143390625*^9, 3.45700144725*^9}, {3.457001492171875*^9, 3.457001495171875*^9}, { 3.4570015551875*^9, 3.45700157746875*^9}, {3.45700161453125*^9, 3.45700174915625*^9}, {3.457001786375*^9, 3.457001803140625*^9}, { 3.457001837640625*^9, 3.457001839046875*^9}, {3.457001887578125*^9, 3.457001892078125*^9}, {3.4570019358125*^9, 3.457001938421875*^9}, 3.45700197753125*^9, {3.45700201821875*^9, 3.457002018765625*^9}, { 3.457002061328125*^9, 3.457002062015625*^9}, {3.457002101796875*^9, 3.457002104484375*^9}, 3.457002515828125*^9, {3.457002577703125*^9, 3.45700260346875*^9}, {3.4570026560625*^9, 3.457002659125*^9}, { 3.457002727265625*^9, 3.457002731953125*^9}, {3.45700284090625*^9, 3.457002855*^9}, {3.4570028954375*^9, 3.45700292853125*^9}, { 3.457002972078125*^9, 3.457002972734375*^9}, {3.45700302715625*^9, 3.457003035984375*^9}, {3.457003073125*^9, 3.4570031605625*^9}, { 3.457003191890625*^9, 3.45700330428125*^9}, {3.4570033350625*^9, 3.457003362171875*^9}, {3.457003396*^9, 3.45700339703125*^9}, { 3.457003436234375*^9, 3.457003437734375*^9}, {3.45700349021875*^9, 3.457003490953125*^9}, {3.457003688796875*^9, 3.45700378525*^9}, { 3.457003824609375*^9, 3.4570039581875*^9}, {3.457004001328125*^9, 3.457004158984375*^9}, {3.45700419228125*^9, 3.457004233765625*^9}, { 3.457004275453125*^9, 3.45700435240625*^9}, {3.45700441275*^9, 3.45700451690625*^9}, {3.45700454809375*^9, 3.457004593109375*^9}, { 3.457004627171875*^9, 3.45700465753125*^9}, {3.457004697453125*^9, 3.457004698953125*^9}, {3.457004769046875*^9, 3.45700481296875*^9}, { 3.457004874578125*^9, 3.45700487603125*^9}, {3.457004910359375*^9, 3.45700492034375*^9}, {3.457004964421875*^9, 3.457004966640625*^9}, 3.457004998921875*^9, {3.457005739609375*^9, 3.457005769328125*^9}, { 3.45700591190625*^9, 3.457005982859375*^9}, {3.457006136421875*^9, 3.457006138953125*^9}, {3.45700619025*^9, 3.457006191734375*^9}, { 3.4570062894375*^9, 3.457006293078125*^9}, {3.457006474078125*^9, 3.457006478015625*^9}, 3.45700652784375*^9, {3.45700656778125*^9, 3.45700656875*^9}, {3.457006678421875*^9, 3.457006681203125*^9}, { 3.45700675225*^9, 3.4570067615*^9}, {3.45700686928125*^9, 3.45700691496875*^9}, {3.4570077095*^9, 3.457007714828125*^9}, { 3.457007794390625*^9, 3.457008155078125*^9}, {3.4570082076875*^9, 3.4570082375625*^9}, 3.45700829121875*^9, {3.45700832915625*^9, 3.45700836715625*^9}, {3.457008452703125*^9, 3.457008468125*^9}, { 3.457008672078125*^9, 3.457008687765625*^9}, {3.45700872421875*^9, 3.457008751953125*^9}, {3.457008794609375*^9, 3.457008798515625*^9}, { 3.457009043484375*^9, 3.457009136953125*^9}, {3.45700918928125*^9, 3.457009193859375*^9}, 3.4570094959375*^9, {3.457009536421875*^9, 3.457009551484375*^9}, {3.457009772125*^9, 3.457009798484375*^9}, { 3.457071671359375*^9, 3.457071676953125*^9}, {3.457071716859375*^9, 3.45707172328125*^9}, {3.4570718190625*^9, 3.45707184790625*^9}, { 3.457071995796875*^9, 3.457072032890625*^9}, {3.457084984359375*^9, 3.457085009984375*^9}, {3.45708507759375*^9, 3.45708509725*^9}, { 3.457085168890625*^9, 3.45708521225*^9}, {3.457085266015625*^9, 3.45708530553125*^9}, {3.45708534684375*^9, 3.457085399640625*^9}, { 3.457085598125*^9, 3.457085659015625*^9}, {3.45708570203125*^9, 3.4570857529375*^9}, {3.457085815984375*^9, 3.45708585996875*^9}, { 3.45708591190625*^9, 3.45708594034375*^9}, 3.457087510484375*^9, { 3.457087849296875*^9, 3.4570879165625*^9}, {3.45708794753125*^9, 3.457088102578125*^9}, {3.457088170390625*^9, 3.457088265484375*^9}, { 3.45708830421875*^9, 3.457088326828125*^9}, {3.457088400671875*^9, 3.457088529203125*^9}, {3.4570886038125*^9, 3.45708865553125*^9}, { 3.457088693703125*^9, 3.457088705796875*^9}, 3.457088743203125*^9, { 3.45708879340625*^9, 3.457088822765625*^9}, {3.45708885578125*^9, 3.45708889440625*^9}, {3.457089020640625*^9, 3.457089026890625*^9}, { 3.457089300171875*^9, 3.45708934803125*^9}, {3.4570893990625*^9, 3.457089427453125*^9}, {3.45708954609375*^9, 3.45708956815625*^9}, { 3.4570896359375*^9, 3.457089644796875*^9}, {3.45708992196875*^9, 3.457089929046875*^9}, {3.457089978515625*^9, 3.4570899813125*^9}, { 3.457090057140625*^9, 3.457090069140625*^9}, {3.45709012128125*^9, 3.457090156234375*^9}, {3.457090208390625*^9, 3.4570902655*^9}, 3.457090304875*^9, {3.457090376296875*^9, 3.457090382171875*^9}, { 3.45709056103125*^9, 3.457090597703125*^9}, {3.45709067234375*^9, 3.457090672796875*^9}, {3.457090753578125*^9, 3.457090754078125*^9}, { 3.457091015640625*^9, 3.4570910274375*^9}, {3.457091083671875*^9, 3.45709108890625*^9}, 3.4570913461875*^9, 3.45709138421875*^9, 3.4570917053125*^9, {3.457092093421875*^9, 3.45709210775*^9}, 3.45709218875*^9, {3.457092320953125*^9, 3.457092346*^9}, { 3.457092576671875*^9, 3.457092622359375*^9}, {3.457094267734375*^9, 3.457094325296875*^9}, {3.457094391609375*^9, 3.457094400671875*^9}, { 3.45709449690625*^9, 3.45709452625*^9}, {3.457094676171875*^9, 3.4570946809375*^9}, {3.45709489528125*^9, 3.457094902921875*^9}, { 3.457094984296875*^9, 3.4570950239375*^9}, {3.457095110671875*^9, 3.45709517440625*^9}, {3.457095488640625*^9, 3.45709549415625*^9}, { 3.457111156515625*^9, 3.457111208484375*^9}, {3.457111381640625*^9, 3.457111428390625*^9}, {3.457111535953125*^9, 3.457111582890625*^9}, { 3.457111736796875*^9, 3.457111849875*^9}, 3.457112269515625*^9, { 3.45711231271875*^9, 3.4571123408125*^9}, {3.457112494015625*^9, 3.457112535921875*^9}, {3.457112588328125*^9, 3.457112590609375*^9}, { 3.45711301496875*^9, 3.457113022125*^9}, {3.457113237359375*^9, 3.457113254*^9}, {3.457113528890625*^9, 3.45711355390625*^9}, 3.457152514203125*^9, {3.457153303765625*^9, 3.4571533334375*^9}, { 3.45715359796875*^9, 3.45715362565625*^9}, {3.457153844609375*^9, 3.45715385234375*^9}, {3.457153924984375*^9, 3.457153929078125*^9}, { 3.4571541395625*^9, 3.457154172578125*^9}, {3.4571542874375*^9, 3.457154293296875*^9}, {3.45715443590625*^9, 3.45715445890625*^9}, { 3.457154590203125*^9, 3.4571546085*^9}, {3.45715477915625*^9, 3.457154815328125*^9}, {3.457154957796875*^9, 3.45715496225*^9}, { 3.45715514321875*^9, 3.45715514896875*^9}, {3.457155182484375*^9, 3.45715519*^9}, {3.457155240203125*^9, 3.457155244125*^9}, { 3.457155312421875*^9, 3.4571553191875*^9}, {3.457155623265625*^9, 3.457155633671875*^9}, {3.457156081640625*^9, 3.45715609196875*^9}, { 3.45715642803125*^9, 3.457156444390625*^9}, {3.4571567169375*^9, 3.4571567205*^9}, {3.457158195453125*^9, 3.457158215046875*^9}, { 3.45715871046875*^9, 3.457158746046875*^9}, 3.457158900046875*^9, { 3.45715899659375*^9, 3.457159003796875*^9}, {3.457159092890625*^9, 3.45715909565625*^9}, {3.457159409875*^9, 3.457159414671875*^9}, { 3.457159602640625*^9, 3.457159603734375*^9}, {3.45715978128125*^9, 3.45715979521875*^9}, {3.457159848890625*^9, 3.457159851421875*^9}, { 3.457160904625*^9, 3.45716094434375*^9}, {3.45716108740625*^9, 3.4571610975625*^9}, {3.457161529875*^9, 3.457161546828125*^9}, { 3.457168114546875*^9, 3.457168127625*^9}, {3.4571681594375*^9, 3.45716828878125*^9}, 3.45716833246875*^9, {3.457169165984375*^9, 3.457169184203125*^9}, {3.457169290171875*^9, 3.45716931575*^9}, { 3.457169394828125*^9, 3.45716939878125*^9}, {3.457169584109375*^9, 3.4571695930625*^9}, {3.457169764234375*^9, 3.457169767984375*^9}, { 3.457170057859375*^9, 3.457170061453125*^9}, {3.457170219171875*^9, 3.457170297*^9}, {3.457170385609375*^9, 3.457170387828125*^9}, { 3.45717051190625*^9, 3.457170514078125*^9}, {3.457170610765625*^9, 3.457170614921875*^9}, 3.457170691359375*^9, {3.457170928234375*^9, 3.457170931984375*^9}, {3.457171114375*^9, 3.4571711190625*^9}, { 3.4571719268125*^9, 3.45717193240625*^9}, {3.457171968390625*^9, 3.4571719763125*^9}, {3.45717210065625*^9, 3.45717210475*^9}, { 3.457172327453125*^9, 3.45717234228125*^9}, {3.45717260396875*^9, 3.457172607*^9}, {3.4571730509375*^9, 3.45717306875*^9}, { 3.457173200703125*^9, 3.457173209734375*^9}, {3.457173343953125*^9, 3.45717335065625*^9}, {3.457173391609375*^9, 3.457173402125*^9}, { 3.457173553796875*^9, 3.457173565265625*^9}, {3.457173618859375*^9, 3.45717364084375*^9}, {3.457173765625*^9, 3.45717377465625*^9}, { 3.45717388196875*^9, 3.457173899578125*^9}, {3.45717425940625*^9, 3.457174268515625*^9}, {3.457174349109375*^9, 3.45717435434375*^9}, { 3.457174436765625*^9, 3.4571744453125*^9}, {3.45717469234375*^9, 3.45717471234375*^9}, {3.457175278796875*^9, 3.457175302890625*^9}, { 3.457175373359375*^9, 3.457175420796875*^9}, {3.457182844078125*^9, 3.457182933375*^9}, {3.4571829915625*^9, 3.457183006859375*^9}, { 3.457183090203125*^9, 3.45718309384375*^9}, 3.457193194109375*^9, { 3.45719335840625*^9, 3.457193364609375*^9}, {3.457193398765625*^9, 3.457193459875*^9}, {3.457193502515625*^9, 3.457193525125*^9}, { 3.457194108921875*^9, 3.457194198015625*^9}, {3.4571971668125*^9, 3.457197173953125*^9}, {3.45719742271875*^9, 3.4571974920625*^9}, { 3.457197575671875*^9, 3.45719758121875*^9}, {3.457197722296875*^9, 3.457197737203125*^9}, {3.457197986640625*^9, 3.457198018*^9}, { 3.4571981225625*^9, 3.457198131703125*^9}, {3.457252731625*^9, 3.457252771796875*^9}, {3.4572528836875*^9, 3.457252944*^9}, { 3.457253022609375*^9, 3.45725303815625*^9}, {3.457253094*^9, 3.45725313640625*^9}, {3.457253383875*^9, 3.45725346678125*^9}, { 3.457253688*^9, 3.457253700125*^9}, 3.45725373225*^9, {3.45725393715625*^9, 3.45725396396875*^9}, 3.457254140375*^9, 3.457255171609375*^9, { 3.457255243875*^9, 3.45725529334375*^9}, {3.457255356265625*^9, 3.45725541009375*^9}, {3.4572557625*^9, 3.45725578296875*^9}, 3.457256135171875*^9, {3.457256318515625*^9, 3.4572563899375*^9}, { 3.4572567479375*^9, 3.457256751828125*^9}, {3.457256934078125*^9, 3.457256938390625*^9}, 3.457257224734375*^9, {3.457257326640625*^9, 3.4572573295625*^9}, {3.457257513875*^9, 3.457257534265625*^9}, { 3.457257932109375*^9, 3.45725794575*^9}, {3.45725806359375*^9, 3.4572580795625*^9}, {3.457258218859375*^9, 3.457258232109375*^9}, { 3.4572584520625*^9, 3.45725846575*^9}, {3.45725891728125*^9, 3.457258931671875*^9}, {3.457259289078125*^9, 3.457259300046875*^9}, { 3.45725988559375*^9, 3.45725989321875*^9}, {3.45726212140625*^9, 3.457262162375*^9}, {3.457262372375*^9, 3.45726238228125*^9}, { 3.457262499609375*^9, 3.457262522125*^9}, {3.4572625575*^9, 3.457262567890625*^9}, {3.45726261771875*^9, 3.457262747515625*^9}, { 3.457262833140625*^9, 3.457262837890625*^9}, 3.457262950796875*^9, { 3.457263178390625*^9, 3.45726319653125*^9}, {3.4572634445625*^9, 3.457263481578125*^9}, {3.457263702953125*^9, 3.457263711828125*^9}, { 3.457263823078125*^9, 3.4572638540625*^9}, {3.45726409840625*^9, 3.457264154515625*^9}, {3.457264211921875*^9, 3.457264219171875*^9}, { 3.457264332640625*^9, 3.45726434278125*^9}, {3.457264639234375*^9, 3.4572646398125*^9}, {3.457265029890625*^9, 3.457265052421875*^9}, { 3.45726532165625*^9, 3.457265329015625*^9}, {3.457265479625*^9, 3.4572654854375*^9}, {3.4572669969375*^9, 3.457267014375*^9}, { 3.457267097625*^9, 3.45726712034375*^9}, {3.4572673158125*^9, 3.457267342578125*^9}, {3.457267486421875*^9, 3.4572675051875*^9}, { 3.45726756984375*^9, 3.457267573515625*^9}, {3.457267726140625*^9, 3.45726773884375*^9}, {3.457268045328125*^9, 3.457268061703125*^9}, { 3.45726817853125*^9, 3.457268227875*^9}, {3.4572682804375*^9, 3.4572682924375*^9}, {3.45726853378125*^9, 3.457268565640625*^9}, { 3.45726884453125*^9, 3.45726894675*^9}, {3.4572692911875*^9, 3.45726929996875*^9}, {3.457269402125*^9, 3.457269431359375*^9}, { 3.457269945125*^9, 3.457270006578125*^9}, {3.457270316734375*^9, 3.457270335890625*^9}, {3.457270391390625*^9, 3.457270398046875*^9}, 3.457272802375*^9, {3.457272834640625*^9, 3.45727287875*^9}, { 3.457273005125*^9, 3.45727301559375*^9}, {3.4572731153125*^9, 3.4572731290625*^9}, {3.457273364203125*^9, 3.457273368609375*^9}, { 3.457273500125*^9, 3.4572735289375*^9}, {3.457273623421875*^9, 3.457273632328125*^9}, {3.457273724140625*^9, 3.457273728875*^9}, { 3.45727413375*^9, 3.457274182171875*^9}, {3.4572742990625*^9, 3.457274302453125*^9}, {3.457274677515625*^9, 3.457274711046875*^9}, 3.457275842390625*^9, {3.457275956578125*^9, 3.457275960078125*^9}, { 3.457276161328125*^9, 3.457276166359375*^9}, {3.457276316625*^9, 3.4572763423125*^9}, {3.457277167421875*^9, 3.45727719578125*^9}, { 3.45727729553125*^9, 3.4572773343125*^9}, {3.45727739978125*^9, 3.457277406921875*^9}, {3.45727775440625*^9, 3.457277777921875*^9}, { 3.45727803621875*^9, 3.457278055265625*^9}, {3.457278166265625*^9, 3.45727817178125*^9}, {3.457278217125*^9, 3.457278228*^9}, { 3.45728734015625*^9, 3.45728735103125*^9}, {3.45728782671875*^9, 3.45728785390625*^9}, {3.457287925265625*^9, 3.45728795128125*^9}, { 3.45728809734375*^9, 3.45728811428125*^9}, {3.4572882180625*^9, 3.45728822359375*^9}, {3.457288327578125*^9, 3.457288335921875*^9}, { 3.457290571453125*^9, 3.4572907531875*^9}, {3.457290792109375*^9, 3.457290814125*^9}, {3.457290886125*^9, 3.457290944171875*^9}, { 3.457291038515625*^9, 3.457291044453125*^9}, {3.4572911344375*^9, 3.4572911421875*^9}, {3.457326952421875*^9, 3.457326975515625*^9}, { 3.457327153796875*^9, 3.45732715784375*^9}, {3.45734166446875*^9, 3.45734173490625*^9}, {3.457342898609375*^9, 3.4573430635625*^9}, { 3.457343368921875*^9, 3.45734338646875*^9}, {3.45734351440625*^9, 3.457343555703125*^9}, {3.457343598015625*^9, 3.4573436031875*^9}, { 3.457343633703125*^9, 3.45734369421875*^9}, {3.45734377925*^9, 3.45734380828125*^9}, {3.457343911875*^9, 3.45734393121875*^9}, { 3.45734408065625*^9, 3.457344098796875*^9}, {3.457344384890625*^9, 3.457344387171875*^9}, {3.45734458584375*^9, 3.45734460628125*^9}, 3.45734466871875*^9, {3.45734471334375*^9, 3.45734471540625*^9}, { 3.457353966109375*^9, 3.45735397184375*^9}, 3.457354054890625*^9, 3.457354190609375*^9, 3.4573547995625*^9, {3.457354901609375*^9, 3.457354936828125*^9}, 3.4573715901875*^9, {3.45737165096875*^9, 3.457371655921875*^9}, 3.457371727015625*^9, {3.457371794578125*^9, 3.457371802921875*^9}, {3.457371902140625*^9, 3.457372175046875*^9}, { 3.45737223065625*^9, 3.457372235421875*^9}, {3.45737228315625*^9, 3.457372428296875*^9}, {3.457372464828125*^9, 3.45737251178125*^9}, { 3.457372568421875*^9, 3.4573725719375*^9}, {3.45737262278125*^9, 3.457372811671875*^9}, {3.45737284721875*^9, 3.457372879046875*^9}, { 3.4573730478125*^9, 3.45737307425*^9}, 3.457373124015625*^9, { 3.45737319675*^9, 3.45737321746875*^9}, {3.45737352303125*^9, 3.45737353825*^9}, {3.457373581015625*^9, 3.457373611390625*^9}, { 3.45737366475*^9, 3.457373820984375*^9}, {3.45737386184375*^9, 3.457373863125*^9}, {3.457374001921875*^9, 3.45737403034375*^9}, { 3.457374096828125*^9, 3.457374113265625*^9}, {3.457374173921875*^9, 3.457374191296875*^9}, {3.457374274828125*^9, 3.45737429196875*^9}, { 3.457412066046875*^9, 3.457412131234375*^9}, {3.4574121801875*^9, 3.457412181125*^9}, {3.457412734734375*^9, 3.45741278621875*^9}, { 3.457412822984375*^9, 3.457412906171875*^9}, {3.457412951703125*^9, 3.457412961265625*^9}, {3.457413222421875*^9, 3.45741328084375*^9}, { 3.457413431171875*^9, 3.45741344940625*^9}, {3.457413612734375*^9, 3.457413694890625*^9}, {3.457413725625*^9, 3.457413741609375*^9}, { 3.457413840484375*^9, 3.457413907703125*^9}, {3.457414074203125*^9, 3.457414187078125*^9}, {3.45741437896875*^9, 3.45741439753125*^9}, { 3.45741443265625*^9, 3.457414464734375*^9}, {3.45741454153125*^9, 3.457414556671875*^9}, {3.45741461471875*^9, 3.4574146238125*^9}, { 3.45741485315625*^9, 3.457414858609375*^9}, {3.457414922796875*^9, 3.457414955296875*^9}, {3.4574149980625*^9, 3.4574150225625*^9}, { 3.457415149609375*^9, 3.4574151554375*^9}, {3.457415198421875*^9, 3.457415211359375*^9}, 3.457415258828125*^9, {3.45741531896875*^9, 3.457415345359375*^9}, {3.45741545765625*^9, 3.457415463703125*^9}, { 3.457415501578125*^9, 3.45741557471875*^9}, {3.45741570715625*^9, 3.457415794375*^9}, 3.45741599665625*^9, {3.457416129578125*^9, 3.457416213078125*^9}, {3.457416309328125*^9, 3.457416310625*^9}, { 3.45741648021875*^9, 3.45741650071875*^9}, {3.457416540703125*^9, 3.457416566203125*^9}, {3.45741661646875*^9, 3.457416622703125*^9}, { 3.457416684515625*^9, 3.457416720015625*^9}, {3.45741833225*^9, 3.4574183384375*^9}, {3.457418423109375*^9, 3.45741844659375*^9}, { 3.4574186504375*^9, 3.457418684875*^9}, {3.4574187798125*^9, 3.457418780390625*^9}, 3.45741884746875*^9, {3.457418921640625*^9, 3.457419036734375*^9}, {3.457419077234375*^9, 3.457419149203125*^9}, { 3.457419208953125*^9, 3.457419220859375*^9}, {3.45741925478125*^9, 3.457419261546875*^9}, {3.45741932234375*^9, 3.457419373921875*^9}, 3.457419443015625*^9, {3.4574195143125*^9, 3.457419515546875*^9}, { 3.45741955646875*^9, 3.457419556953125*^9}, {3.457419617203125*^9, 3.45741964521875*^9}, {3.457419810515625*^9, 3.457419826796875*^9}, { 3.4574198811875*^9, 3.45741989125*^9}, {3.457419950015625*^9, 3.45741995640625*^9}, {3.45742004484375*^9, 3.457420141640625*^9}, { 3.45742029790625*^9, 3.45742030290625*^9}, {3.457420360015625*^9, 3.457420379671875*^9}, {3.457420415796875*^9, 3.457420416484375*^9}, { 3.457420471703125*^9, 3.457420506546875*^9}, 3.457420578328125*^9, { 3.4574206165625*^9, 3.45742061996875*^9}, {3.457420654984375*^9, 3.45742072015625*^9}, {3.457420841*^9, 3.4574208475*^9}, { 3.457420957046875*^9, 3.457421100453125*^9}, {3.457421137421875*^9, 3.457421163609375*^9}, {3.457434266765625*^9, 3.4574343735*^9}, { 3.457434497546875*^9, 3.457434502640625*^9}, {3.4574345984375*^9, 3.457434611140625*^9}, 3.45743472621875*^9, {3.4574347965625*^9, 3.45743493071875*^9}, {3.45743503503125*^9, 3.457435097515625*^9}, { 3.457435158984375*^9, 3.457435161234375*^9}, {3.45743521459375*^9, 3.45743521571875*^9}, {3.45743532809375*^9, 3.457435367734375*^9}, { 3.45743540884375*^9, 3.457435430734375*^9}, {3.457435464265625*^9, 3.45743548525*^9}, {3.457435565640625*^9, 3.457435574140625*^9}, { 3.457435741984375*^9, 3.457435766578125*^9}, {3.457435804046875*^9, 3.457435807984375*^9}, 3.45743584125*^9, {3.4574359390625*^9, 3.457435950140625*^9}, 3.457436103390625*^9, 3.45743636553125*^9, { 3.45743646440625*^9, 3.45743646615625*^9}, {3.457436773859375*^9, 3.457436779734375*^9}, {3.457436875453125*^9, 3.4574368825625*^9}, { 3.457436927890625*^9, 3.457436947078125*^9}, {3.457437010609375*^9, 3.457437036640625*^9}, {3.4574371204375*^9, 3.457437202484375*^9}, { 3.45743725596875*^9, 3.457437296171875*^9}, {3.457437836625*^9, 3.45743789903125*^9}, {3.457438071375*^9, 3.4574380899375*^9}, { 3.457438128140625*^9, 3.457438130578125*^9}, {3.457438177640625*^9, 3.4574381785625*^9}, {3.457438473625*^9, 3.457438487484375*^9}, { 3.457440697171875*^9, 3.457440963109375*^9}, {3.45744104715625*^9, 3.457441065734375*^9}, {3.4574412183125*^9, 3.457441225140625*^9}, { 3.45744150328125*^9, 3.457441507171875*^9}, {3.457441782234375*^9, 3.457441785609375*^9}, {3.45744195384375*^9, 3.4574419779375*^9}, { 3.4574420220625*^9, 3.457442112796875*^9}, {3.457456686375*^9, 3.457456711859375*^9}, {3.457456799921875*^9, 3.45745680471875*^9}, { 3.4574570409375*^9, 3.457457084953125*^9}, {3.45745716315625*^9, 3.45745716978125*^9}, {3.45745769103125*^9, 3.457457701625*^9}, { 3.45745774575*^9, 3.457457747078125*^9}, {3.457457931609375*^9, 3.45745796871875*^9}, {3.457458035578125*^9, 3.457458042109375*^9}, { 3.457458132890625*^9, 3.457458137921875*^9}, {3.45745851003125*^9, 3.45745851640625*^9}, {3.457458589140625*^9, 3.457458592703125*^9}, { 3.45745868740625*^9, 3.4574586925*^9}, {3.457458742453125*^9, 3.457458802171875*^9}, {3.457458868984375*^9, 3.45745887359375*^9}, { 3.457458971140625*^9, 3.4574590518125*^9}, {3.457459130390625*^9, 3.457459160703125*^9}, {3.4574592959375*^9, 3.45745933990625*^9}, { 3.457459446484375*^9, 3.457459523703125*^9}, {3.457459607890625*^9, 3.457459627859375*^9}, {3.457459708734375*^9, 3.457459744484375*^9}, { 3.45745999725*^9, 3.457460033671875*^9}, {3.4574601085625*^9, 3.4574601126875*^9}, {3.457460189171875*^9, 3.457460262796875*^9}, { 3.4574602940625*^9, 3.457460330125*^9}, {3.45746039840625*^9, 3.4574604125625*^9}, {3.45746045490625*^9, 3.4574604598125*^9}, { 3.4574605386875*^9, 3.457460570609375*^9}, {3.4574606088125*^9, 3.45746063428125*^9}, {3.4574606908125*^9, 3.45746072821875*^9}, 3.457498101578125*^9, {3.457512801578125*^9, 3.457512886296875*^9}, { 3.457512982453125*^9, 3.457513006125*^9}, {3.457513167828125*^9, 3.457513191140625*^9}, {3.457513221390625*^9, 3.4575132290625*^9}, { 3.45751328728125*^9, 3.4575133051875*^9}, {3.457513362984375*^9, 3.4575134135625*^9}, {3.4575135034375*^9, 3.4575135516875*^9}, { 3.457513608859375*^9, 3.4575136141875*^9}, {3.457513664*^9, 3.457513702609375*^9}, {3.45751373690625*^9, 3.45751376765625*^9}, { 3.45751386228125*^9, 3.4575138988125*^9}, {3.457514061453125*^9, 3.457514082609375*^9}, {3.457514123984375*^9, 3.457514140515625*^9}, { 3.457514206859375*^9, 3.457514244203125*^9}, {3.457514386984375*^9, 3.4575144149375*^9}, {3.45751449865625*^9, 3.457514558125*^9}, { 3.45751482928125*^9, 3.4575149539375*^9}, {3.457515036703125*^9, 3.457515130546875*^9}, {3.457515206453125*^9, 3.4575152131875*^9}, 3.457515646359375*^9, {3.45751584378125*^9, 3.457515858734375*^9}, 3.457516070015625*^9, {3.457516129640625*^9, 3.4575161726875*^9}, { 3.457516287265625*^9, 3.45751628775*^9}, {3.457516574703125*^9, 3.45751658125*^9}, {3.45751661328125*^9, 3.457516668828125*^9}, 3.457516727484375*^9, {3.45751689271875*^9, 3.457516906703125*^9}, { 3.4575169575*^9, 3.4575169673125*^9}, {3.457517039359375*^9, 3.4575170845*^9}, {3.457517122015625*^9, 3.45751714346875*^9}, 3.4575174653125*^9, {3.457517540140625*^9, 3.45751764753125*^9}, { 3.457517678375*^9, 3.457517754453125*^9}, {3.457517788765625*^9, 3.4575177925*^9}, {3.45751782265625*^9, 3.4575178340625*^9}, { 3.457517931328125*^9, 3.45751797371875*^9}, 3.457519920234375*^9, { 3.45751997815625*^9, 3.45752007778125*^9}, {3.457520430640625*^9, 3.457520471703125*^9}, {3.4575257555*^9, 3.457525761890625*^9}, 3.457526806671875*^9, {3.4575332714444*^9, 3.4575334580137415`*^9}, { 3.457533491539019*^9, 3.457533537927375*^9}, {3.457533603852606*^9, 3.4575336202323217`*^9}, {3.457533669605912*^9, 3.4575337129308863`*^9}, { 3.457533749988431*^9, 3.4575337510824957`*^9}, {3.45753388160445*^9, 3.457533922694406*^9}, {3.45753795515625*^9, 3.457537972390625*^9}, { 3.45753815159375*^9, 3.457538163578125*^9}, {3.457538194375*^9, 3.457538200546875*^9}, {3.457538255875*^9, 3.457538279125*^9}, { 3.457538359296875*^9, 3.45753842165625*^9}, {3.457538586125*^9, 3.45753861653125*^9}, {3.457538782453125*^9, 3.45753879959375*^9}, { 3.45753887990625*^9, 3.457538886375*^9}, {3.4575389586875*^9, 3.45753898646875*^9}, {3.45753904684375*^9, 3.4575390765625*^9}, { 3.4575391469375*^9, 3.457539184046875*^9}, {3.457539246609375*^9, 3.457539290046875*^9}, {3.4575393469375*^9, 3.45753943390625*^9}, 3.457539473625*^9, {3.457539556390625*^9, 3.45753958678125*^9}, { 3.457540228234375*^9, 3.45754024096875*^9}, {3.457542760171875*^9, 3.457542780546875*^9}, {3.457543115171875*^9, 3.45754311575*^9}, { 3.45754316578125*^9, 3.457543194875*^9}, {3.45754323640625*^9, 3.457543266265625*^9}, {3.45754332078125*^9, 3.457543345625*^9}, { 3.457543421140625*^9, 3.45754345665625*^9}, {3.457543512921875*^9, 3.45754353134375*^9}, {3.4575435623125*^9, 3.457543566671875*^9}, { 3.457543611125*^9, 3.45754363740625*^9}, {3.45754371990625*^9, 3.457543754078125*^9}, {3.457543811125*^9, 3.457543836234375*^9}, { 3.45754394134375*^9, 3.45754394696875*^9}, {3.457543999234375*^9, 3.457544014171875*^9}, {3.457544065*^9, 3.457544137921875*^9}, { 3.45754425209375*^9, 3.4575443043125*^9}, {3.4575443701875*^9, 3.45754437071875*^9}, {3.4575847794375*^9, 3.457584788390625*^9}, { 3.457584992796875*^9, 3.457584994109375*^9}, {3.457585024328125*^9, 3.45758504534375*^9}, {3.457585077265625*^9, 3.457585165796875*^9}, { 3.45758519590625*^9, 3.457585207921875*^9}, {3.45758529109375*^9, 3.45758529865625*^9}, 3.457585334703125*^9, {3.457585377734375*^9, 3.457585428703125*^9}, {3.45758547628125*^9, 3.45758547909375*^9}, { 3.4575856220625*^9, 3.457585642734375*^9}, {3.45758573459375*^9, 3.457585746875*^9}, {3.457585794625*^9, 3.457585808828125*^9}, { 3.457585860609375*^9, 3.4575858810625*^9}, {3.45758595834375*^9, 3.45758599884375*^9}, {3.4575861653125*^9, 3.457586165921875*^9}, 3.457586233421875*^9, {3.45758626828125*^9, 3.45758627371875*^9}, { 3.457586397703125*^9, 3.4575864096875*^9}, 3.457586569546875*^9, { 3.457586601953125*^9, 3.4575866466875*^9}, {3.45758669984375*^9, 3.457586745078125*^9}, {3.457586860515625*^9, 3.457586866265625*^9}, { 3.457586969*^9, 3.45758698840625*^9}, {3.45759073471875*^9, 3.457590735796875*^9}, {3.45759085171875*^9, 3.457590950125*^9}, { 3.45759101478125*^9, 3.457591024078125*^9}, {3.45759117978125*^9, 3.457591193078125*^9}, 3.457591250390625*^9, {3.457591357578125*^9, 3.457591360140625*^9}, {3.45759149928125*^9, 3.4575916203125*^9}, { 3.457591698546875*^9, 3.457591699265625*^9}, {3.45759177221875*^9, 3.457591773*^9}, {3.45759183125*^9, 3.457591833640625*^9}, { 3.457591954828125*^9, 3.45759197296875*^9}, 3.45759205003125*^9, { 3.457592103625*^9, 3.457592118625*^9}, {3.4575921764375*^9, 3.4575921771875*^9}, 3.457592301671875*^9, {3.457592540578125*^9, 3.45759254890625*^9}, 3.457592789203125*^9, {3.45759299275*^9, 3.457592994140625*^9}, {3.457593090015625*^9, 3.457593090796875*^9}, { 3.457593139625*^9, 3.457593141296875*^9}, {3.457593185703125*^9, 3.457593186359375*^9}, {3.45759321871875*^9, 3.4575932201875*^9}, { 3.457593368328125*^9, 3.45759337271875*^9}, {3.45759345365625*^9, 3.457593477296875*^9}, {3.4575935624375*^9, 3.457593584890625*^9}, { 3.457593764578125*^9, 3.457593766703125*^9}, {3.457593847671875*^9, 3.457593886265625*^9}, {3.457593938734375*^9, 3.45759396328125*^9}, { 3.45759402128125*^9, 3.45759402603125*^9}, {3.457594117375*^9, 3.457594156828125*^9}, {3.45759868671875*^9, 3.45759872878125*^9}, { 3.45759876646875*^9, 3.457598794796875*^9}, {3.457598843046875*^9, 3.457598847421875*^9}, {3.457598925484375*^9, 3.45759900803125*^9}, { 3.457599285546875*^9, 3.457599316140625*^9}, {3.4575993579375*^9, 3.45759936378125*^9}, 3.457599420375*^9, {3.457599453859375*^9, 3.457599460984375*^9}, {3.45759950390625*^9, 3.4575995685*^9}, { 3.4575996645*^9, 3.45759966490625*^9}, {3.457599699375*^9, 3.457599737375*^9}, {3.457599830875*^9, 3.457599834921875*^9}, { 3.457599883046875*^9, 3.45759988378125*^9}, {3.457600205078125*^9, 3.457600207375*^9}, {3.457600292234375*^9, 3.457600293234375*^9}, { 3.4576003319375*^9, 3.457600332734375*^9}, {3.457602512296875*^9, 3.45760255271875*^9}, {3.457603182171875*^9, 3.45760318803125*^9}, { 3.457603238734375*^9, 3.45760323946875*^9}, {3.45760334971875*^9, 3.4576033680625*^9}, {3.45760346865625*^9, 3.457603524328125*^9}, { 3.457603571296875*^9, 3.457603579359375*^9}, {3.4576036545625*^9, 3.457603661140625*^9}, {3.45760370228125*^9, 3.45760370278125*^9}, 3.45760374565625*^9, 3.457603855296875*^9, {3.45760389565625*^9, 3.457603900421875*^9}, {3.45760395503125*^9, 3.457603963484375*^9}, { 3.457604042203125*^9, 3.457604049640625*^9}, 3.457604081328125*^9, { 3.457604151265625*^9, 3.457604160515625*^9}, {3.457604286484375*^9, 3.457604332421875*^9}, {3.45760450234375*^9, 3.4576045225625*^9}, { 3.457604786953125*^9, 3.4576049210625*^9}, {3.45760510196875*^9, 3.4576051435625*^9}, {3.457605181328125*^9, 3.457605213921875*^9}, { 3.457605251953125*^9, 3.45760526146875*^9}, {3.45760551209375*^9, 3.457605538515625*^9}, 3.45760560521875*^9, {3.4576056475*^9, 3.457605755515625*^9}, {3.457605836265625*^9, 3.457605911734375*^9}, { 3.45760609090625*^9, 3.45760609828125*^9}, {3.457606294125*^9, 3.45760632571875*^9}, {3.4576065401875*^9, 3.4576065465625*^9}, { 3.457606830265625*^9, 3.457606835625*^9}, {3.457606912296875*^9, 3.457606913765625*^9}, {3.45760700578125*^9, 3.457607009921875*^9}, { 3.45760712928125*^9, 3.45760714209375*^9}, {3.457607180640625*^9, 3.4576071874375*^9}, {3.457607322375*^9, 3.45760738334375*^9}, { 3.457607428078125*^9, 3.45760744878125*^9}, {3.457607500125*^9, 3.457607545234375*^9}, {3.457607610859375*^9, 3.457607641625*^9}, { 3.45767540803125*^9, 3.45767552321875*^9}, {3.457676032375*^9, 3.45767603734375*^9}, {3.4576761250625*^9, 3.457676248609375*^9}, { 3.457676315703125*^9, 3.457676332578125*^9}, {3.457676381546875*^9, 3.457676385734375*^9}, 3.457676419390625*^9, {3.457676557109375*^9, 3.45767657134375*^9}, {3.45767675678125*^9, 3.45767679384375*^9}, { 3.45767689540625*^9, 3.457676908796875*^9}, {3.457677017640625*^9, 3.45767702484375*^9}, {3.457677088296875*^9, 3.457677089171875*^9}, { 3.457677251796875*^9, 3.457677266140625*^9}, {3.45767739546875*^9, 3.457677414734375*^9}, {3.4576774705625*^9, 3.457677481796875*^9}, 3.45767768725*^9, {3.45768766925*^9, 3.45768767234375*^9}, { 3.457687751953125*^9, 3.457687764578125*^9}, 3.45768784809375*^9, { 3.45768809284375*^9, 3.457688115125*^9}, {3.457688188125*^9, 3.457688238859375*^9}, {3.457688299796875*^9, 3.457688311078125*^9}, { 3.45768844409375*^9, 3.457688454*^9}, {3.45768848578125*^9, 3.45768849996875*^9}, {3.457688533859375*^9, 3.457688548*^9}, { 3.457688580953125*^9, 3.4576886361875*^9}, {3.457688668953125*^9, 3.45768870690625*^9}, {3.457688857703125*^9, 3.457688867875*^9}, { 3.457692442828125*^9, 3.45769244778125*^9}, {3.45769259703125*^9, 3.457692597890625*^9}, 3.45769264484375*^9, 3.457692749625*^9, { 3.45769380321875*^9, 3.45769383609375*^9}, 3.4576939335625*^9, 3.4576939826875*^9, {3.457694014234375*^9, 3.45769411334375*^9}, { 3.457694149234375*^9, 3.457694167578125*^9}, {3.45769423209375*^9, 3.457694239015625*^9}, {3.45769429259375*^9, 3.457694308421875*^9}, { 3.45769437003125*^9, 3.45769442865625*^9}, {3.4576944728125*^9, 3.457694502140625*^9}, {3.45769455928125*^9, 3.457694586140625*^9}, { 3.457694665609375*^9, 3.45769470859375*^9}, {3.457694781328125*^9, 3.45769480246875*^9}, {3.457694896890625*^9, 3.45769489775*^9}, { 3.45769495153125*^9, 3.457694965125*^9}, {3.45769502215625*^9, 3.45769504884375*^9}, {3.45769516471875*^9, 3.457695176671875*^9}, { 3.457695257703125*^9, 3.457695282203125*^9}, {3.45769534471875*^9, 3.457695352265625*^9}, {3.457695386953125*^9, 3.457695419578125*^9}, { 3.457695489046875*^9, 3.45769553840625*^9}, {3.45769562796875*^9, 3.457695651828125*^9}, {3.457696334578125*^9, 3.457696352484375*^9}, 3.457696383015625*^9, {3.457696582640625*^9, 3.457696641953125*^9}, { 3.457702183109375*^9, 3.4577021875625*^9}, {3.457702433515625*^9, 3.457702452484375*^9}, {3.457702670484375*^9, 3.45770269134375*^9}, { 3.457702757078125*^9, 3.457702789484375*^9}, {3.457702851109375*^9, 3.457702876234375*^9}, {3.457702941875*^9, 3.45770298759375*^9}, { 3.45770354546875*^9, 3.457703563328125*^9}, {3.457703639234375*^9, 3.457703667953125*^9}, {3.457703707734375*^9, 3.45770373565625*^9}, { 3.457703804046875*^9, 3.45770382971875*^9}, {3.45770403265625*^9, 3.45770421134375*^9}, {3.457704252109375*^9, 3.45770425559375*^9}, { 3.457704314796875*^9, 3.4577043591875*^9}, {3.45770449303125*^9, 3.457704522765625*^9}, {3.4577046145625*^9, 3.45770464984375*^9}, { 3.45770471978125*^9, 3.457704766671875*^9}, {3.457704807546875*^9, 3.457704823859375*^9}, {3.457716627109375*^9, 3.4577166278125*^9}, { 3.457716663640625*^9, 3.457716780515625*^9}, 3.457717029796875*^9, { 3.45771734653125*^9, 3.457717358421875*^9}, {3.457717604046875*^9, 3.4577176130625*^9}, {3.457717939375*^9, 3.45771797609375*^9}, 3.457718032125*^9, {3.45771808765625*^9, 3.457718093328125*^9}, 3.457718172125*^9, {3.457718300140625*^9, 3.45771830565625*^9}, { 3.45771835609375*^9, 3.45771840153125*^9}, {3.457718481015625*^9, 3.457718500640625*^9}, {3.457774792625*^9, 3.457774841265625*^9}, { 3.457774962109375*^9, 3.457774967234375*^9}, {3.457775075515625*^9, 3.457775093265625*^9}, {3.4577751616875*^9, 3.45777516928125*^9}, { 3.457775229296875*^9, 3.457775252796875*^9}, 3.457775335484375*^9, 3.457775508546875*^9, {3.457775567359375*^9, 3.457775586546875*^9}, { 3.457775682265625*^9, 3.457775696875*^9}, {3.4577757331875*^9, 3.457775740046875*^9}, {3.457775805*^9, 3.457775826890625*^9}, 3.4577764983125*^9, {3.45777657359375*^9, 3.45777666190625*^9}, { 3.457777062484375*^9, 3.4577770933125*^9}, 3.457777138453125*^9, { 3.457777191328125*^9, 3.457777195390625*^9}, {3.457777256765625*^9, 3.45777726684375*^9}, {3.457777361765625*^9, 3.45777739571875*^9}, { 3.457777445125*^9, 3.457777449796875*^9}, {3.45777749575*^9, 3.4577775091875*^9}, {3.457777552359375*^9, 3.457777556921875*^9}, { 3.457777622328125*^9, 3.4577776383125*^9}, 3.457843664578125*^9, { 3.4578438101875*^9, 3.4578438135*^9}, {3.457844059*^9, 3.4578440655625*^9}, 3.45784410625*^9, {3.457844174953125*^9, 3.45784420659375*^9}, { 3.457844237703125*^9, 3.45784429709375*^9}, {3.457844349546875*^9, 3.457844390859375*^9}, 3.4578446960625*^9, 3.457844809921875*^9, { 3.457844943578125*^9, 3.45784496990625*^9}, {3.457845071984375*^9, 3.457845085359375*^9}, {3.457845183203125*^9, 3.457845285171875*^9}, { 3.457845381265625*^9, 3.45784538921875*^9}, {3.457845498640625*^9, 3.457845517453125*^9}, 3.457845597296875*^9, {3.45784564521875*^9, 3.457845674984375*^9}, {3.4578457405625*^9, 3.45784577953125*^9}, { 3.45784583675*^9, 3.457845868078125*^9}, {3.4578462484375*^9, 3.4578462489375*^9}, {3.457846283171875*^9, 3.457846428703125*^9}, { 3.457846504703125*^9, 3.457846531890625*^9}, {3.457856803984375*^9, 3.457856813515625*^9}, 3.457856854734375*^9, {3.457856895609375*^9, 3.457856908125*^9}, {3.45785699159375*^9, 3.45785700309375*^9}, { 3.45785711284375*^9, 3.457857116953125*^9}, {3.457857184328125*^9, 3.457857216109375*^9}, {3.457857289953125*^9, 3.4578574025*^9}, { 3.45785744096875*^9, 3.457857485296875*^9}, 3.4578577530625*^9, { 3.457857974*^9, 3.45785802175*^9}, {3.457858288296875*^9, 3.45785830621875*^9}, 3.457858376625*^9, {3.457858438546875*^9, 3.457858465328125*^9}, {3.457858496609375*^9, 3.457858509796875*^9}, { 3.4578586404375*^9, 3.457858651734375*^9}, {3.45785907225*^9, 3.45785914153125*^9}, {3.457859205765625*^9, 3.457859243203125*^9}, { 3.4578592754375*^9, 3.4578592793125*^9}, {3.45785934384375*^9, 3.457859364609375*^9}, {3.45785939653125*^9, 3.457859461796875*^9}, { 3.457859512421875*^9, 3.457859562328125*^9}, {3.45786039265625*^9, 3.457860397046875*^9}, {3.4578604991875*^9, 3.457860504578125*^9}, { 3.45786055796875*^9, 3.457860584265625*^9}, {3.457860682921875*^9, 3.4578607081875*^9}, {3.457860743765625*^9, 3.4578607739375*^9}, { 3.4578608835625*^9, 3.457860982609375*^9}, {3.45786105078125*^9, 3.457861058484375*^9}, {3.457861223234375*^9, 3.45786123340625*^9}, { 3.45786137921875*^9, 3.457861470984375*^9}, {3.457861650125*^9, 3.457861670484375*^9}, {3.4578617066875*^9, 3.457861777765625*^9}, { 3.457861951421875*^9, 3.45786196159375*^9}, {3.457862405203125*^9, 3.457862425*^9}, 3.45786355746875*^9, {3.45786373065625*^9, 3.457863734796875*^9}, {3.4578639739375*^9, 3.457863988140625*^9}, { 3.4578640291875*^9, 3.457864097828125*^9}, {3.45786435078125*^9, 3.457864497125*^9}, {3.457864568984375*^9, 3.45786462353125*^9}, { 3.457865083109375*^9, 3.457865086703125*^9}, {3.457865135046875*^9, 3.45786514353125*^9}, {3.4578652520625*^9, 3.457865279546875*^9}, { 3.457865349046875*^9, 3.45786538040625*^9}, {3.45786545146875*^9, 3.457865456953125*^9}, {3.457865530859375*^9, 3.457865549046875*^9}, { 3.45786592703125*^9, 3.45786593496875*^9}, {3.457866037859375*^9, 3.457866096453125*^9}, {3.457866146515625*^9, 3.457866168359375*^9}, { 3.457866260828125*^9, 3.45786629478125*^9}, {3.457866373234375*^9, 3.45786640634375*^9}, {3.45788925834375*^9, 3.45788927896875*^9}, { 3.457889614421875*^9, 3.45788963528125*^9}, {3.457889680984375*^9, 3.45788969609375*^9}, 3.457930774984375*^9, 3.4579308485*^9, 3.457930928921875*^9, {3.4579309719375*^9, 3.457930984453125*^9}, { 3.45793103259375*^9, 3.45793106078125*^9}, {3.457931128578125*^9, 3.45793115490625*^9}, {3.457931278765625*^9, 3.457931290296875*^9}, { 3.45793132796875*^9, 3.4579313623125*^9}, {3.457931417078125*^9, 3.457931461359375*^9}, {3.4579315651875*^9, 3.457931604890625*^9}, { 3.457931700359375*^9, 3.4579318931875*^9}, {3.457931985328125*^9, 3.457932018546875*^9}, {3.4579320989375*^9, 3.457932123953125*^9}, { 3.457933107890625*^9, 3.457933207234375*^9}, {3.4579332543125*^9, 3.45793331765625*^9}, {3.45793334975*^9, 3.457933400734375*^9}, { 3.457933441296875*^9, 3.45793346125*^9}, {3.457945868109375*^9, 3.457945914734375*^9}, 3.4579459700625*^9, {3.457946016390625*^9, 3.4579460261875*^9}, {3.457946086078125*^9, 3.45794611959375*^9}, { 3.457946207078125*^9, 3.457946212328125*^9}, {3.457946479515625*^9, 3.457946515765625*^9}, 3.457946565109375*^9, 3.45794660309375*^9, { 3.457946659421875*^9, 3.45794669546875*^9}, {3.457946746453125*^9, 3.457946890375*^9}, {3.457946933921875*^9, 3.4579470613125*^9}, { 3.457947114578125*^9, 3.457947115140625*^9}, 3.4579479678125*^9, { 3.457948154296875*^9, 3.45794816584375*^9}, {3.457948445921875*^9, 3.457948452015625*^9}, {3.457948619125*^9, 3.457948666796875*^9}, { 3.457948752015625*^9, 3.457948809234375*^9}, {3.4579489070625*^9, 3.457948912890625*^9}, {3.457948954953125*^9, 3.4579489599375*^9}, { 3.45794926221875*^9, 3.45794927615625*^9}, {3.45794948165625*^9, 3.457949486796875*^9}, {3.45794952921875*^9, 3.457949555953125*^9}, { 3.45794959975*^9, 3.4579496748125*^9}, {3.4579497365*^9, 3.45794995940625*^9}, {3.45795001275*^9, 3.45795001815625*^9}, { 3.4579500806875*^9, 3.4579500811875*^9}, {3.457950151578125*^9, 3.457950176078125*^9}, {3.4579502421875*^9, 3.457950248015625*^9}, { 3.4579502943125*^9, 3.457950318859375*^9}, {3.4579503735*^9, 3.4579504560625*^9}, {3.45795062953125*^9, 3.457950631421875*^9}, { 3.457950724515625*^9, 3.4579507298125*^9}, 3.45795077615625*^9, { 3.457950851796875*^9, 3.457950875515625*^9}, {3.457950929609375*^9, 3.457950963796875*^9}, {3.457951056796875*^9, 3.45795108746875*^9}, { 3.45795135771875*^9, 3.45795138971875*^9}, {3.4579514348125*^9, 3.457951455203125*^9}, {3.457951512515625*^9, 3.45795151865625*^9}, 3.457951560609375*^9, {3.457951599109375*^9, 3.45795160784375*^9}, { 3.457951692546875*^9, 3.457951693375*^9}, {3.457951737953125*^9, 3.457951784890625*^9}, {3.457951822453125*^9, 3.457951834375*^9}, { 3.45795204921875*^9, 3.457952088953125*^9}, {3.457952125546875*^9, 3.457952168453125*^9}, {3.4579522406875*^9, 3.457952253390625*^9}, { 3.457953586375*^9, 3.4579536021875*^9}, {3.457953697890625*^9, 3.4579537034375*^9}, {3.4579537749375*^9, 3.45795379571875*^9}, { 3.45795386103125*^9, 3.457953876015625*^9}, {3.457954126359375*^9, 3.457954148328125*^9}, {3.457954274546875*^9, 3.45795429178125*^9}, { 3.45795438090625*^9, 3.45795439425*^9}, {3.457954474796875*^9, 3.457954475796875*^9}, {3.457954584515625*^9, 3.4579545889375*^9}, { 3.45795468034375*^9, 3.457954685390625*^9}, {3.457955034671875*^9, 3.45795504*^9}, {3.45795510903125*^9, 3.457955117828125*^9}, { 3.45795516003125*^9, 3.4579551655*^9}, {3.457955232390625*^9, 3.4579552661875*^9}, {3.457955300734375*^9, 3.457955306640625*^9}, { 3.45795549096875*^9, 3.457955504390625*^9}, {3.4579555623125*^9, 3.4579555761875*^9}, {3.457955709015625*^9, 3.45795571046875*^9}, { 3.457955825375*^9, 3.457955840171875*^9}, {3.45795588309375*^9, 3.45795589578125*^9}, {3.4579561816875*^9, 3.457956194328125*^9}, { 3.45795631175*^9, 3.4579563166875*^9}, {3.457956505296875*^9, 3.45795655353125*^9}, {3.4579566625*^9, 3.457956676890625*^9}, { 3.457956824953125*^9, 3.457956830875*^9}, {3.457956935765625*^9, 3.45795694334375*^9}, {3.45795703803125*^9, 3.45795704309375*^9}, { 3.45795719478125*^9, 3.457957201859375*^9}, {3.457957290953125*^9, 3.4579572965625*^9}, {3.457965271609375*^9, 3.45796528325*^9}, 3.457965392765625*^9, {3.457965456828125*^9, 3.457965462125*^9}, 3.457965543578125*^9, {3.45796564103125*^9, 3.457965664734375*^9}, { 3.4579657616875*^9, 3.45796577615625*^9}, 3.457966476765625*^9, 3.457966556265625*^9, {3.4579666030625*^9, 3.45796663878125*^9}, { 3.45796673778125*^9, 3.45796674884375*^9}, {3.457966894375*^9, 3.45796710821875*^9}, {3.45796715234375*^9, 3.45796715303125*^9}, { 3.457967191890625*^9, 3.4579672470625*^9}, 3.457967293046875*^9, { 3.457967323515625*^9, 3.45796732409375*^9}, 3.45796756525*^9, { 3.457970401484375*^9, 3.4579704285*^9}, {3.457970528203125*^9, 3.4579705324375*^9}, {3.457970767078125*^9, 3.4579707741875*^9}, 3.4579708286875*^9, {3.457970875390625*^9, 3.457970901265625*^9}, { 3.457970962296875*^9, 3.4579709838125*^9}, {3.4579710660625*^9, 3.457971070046875*^9}, {3.457971121953125*^9, 3.457971123421875*^9}, { 3.457979358875*^9, 3.457979400921875*^9}, {3.457979530703125*^9, 3.457979559359375*^9}, {3.45797964840625*^9, 3.45797965409375*^9}, { 3.4579799289375*^9, 3.457979936796875*^9}, {3.45798000278125*^9, 3.457980018921875*^9}, {3.457980187234375*^9, 3.45798025334375*^9}, { 3.457980308640625*^9, 3.457980390609375*^9}, {3.4579804591875*^9, 3.457980466046875*^9}, {3.45798051821875*^9, 3.457980560359375*^9}, { 3.45798064846875*^9, 3.457980659734375*^9}, {3.458019409328125*^9, 3.45801941303125*^9}, {3.458021116515625*^9, 3.458021121296875*^9}, { 3.458021189015625*^9, 3.4580212253125*^9}, {3.458021307265625*^9, 3.458021314390625*^9}, {3.458021396890625*^9, 3.458021467828125*^9}, { 3.458021529390625*^9, 3.458021551921875*^9}, {3.458021609125*^9, 3.458021622984375*^9}, {3.4580216793125*^9, 3.458021684125*^9}, { 3.458021752453125*^9, 3.458021775875*^9}, {3.458021870375*^9, 3.45802188975*^9}, {3.458022035921875*^9, 3.45802204709375*^9}, { 3.458022185109375*^9, 3.458022199890625*^9}, {3.458022517203125*^9, 3.4580225595*^9}, {3.458022619671875*^9, 3.4580226253125*^9}, { 3.458022724875*^9, 3.458022731140625*^9}, {3.4580227775625*^9, 3.45802277815625*^9}, {3.45804658353125*^9, 3.458046590765625*^9}, { 3.458046660359375*^9, 3.458046686421875*^9}, {3.458046761765625*^9, 3.458046788765625*^9}, {3.4580504925625*^9, 3.458050602203125*^9}, { 3.45805069403125*^9, 3.458050734828125*^9}, {3.4580508271875*^9, 3.458050831171875*^9}, {3.458050911046875*^9, 3.458050917109375*^9}, { 3.4580509666875*^9, 3.458050970453125*^9}, {3.458064055296875*^9, 3.458064065875*^9}, {3.4580643070625*^9, 3.4580643248125*^9}, { 3.458064683484375*^9, 3.458064709640625*^9}, {3.458064777890625*^9, 3.458064814359375*^9}, {3.4580648483125*^9, 3.458064869921875*^9}, { 3.458064945328125*^9, 3.4580649635*^9}, {3.458065022828125*^9, 3.458065029203125*^9}, {3.4580650813125*^9, 3.458065114703125*^9}, { 3.45806520671875*^9, 3.45806523384375*^9}, {3.458065390671875*^9, 3.45806539115625*^9}, {3.458065557921875*^9, 3.458065583046875*^9}, { 3.45806566225*^9, 3.45806566628125*^9}, {3.458065712390625*^9, 3.45806571478125*^9}, {3.458066121125*^9, 3.458066128*^9}, 3.45806632509375*^9, {3.45806639284375*^9, 3.458066397984375*^9}, { 3.458066449625*^9, 3.458066476765625*^9}, {3.45806653196875*^9, 3.45806654675*^9}, {3.458066705484375*^9, 3.458066710890625*^9}, { 3.4580667688125*^9, 3.4580667791875*^9}, {3.45806682390625*^9, 3.45806683525*^9}, {3.458066974890625*^9, 3.45806699521875*^9}, { 3.458067473109375*^9, 3.458067484484375*^9}, {3.45806752484375*^9, 3.458067550375*^9}, {3.458067580421875*^9, 3.45806758565625*^9}, { 3.458067647328125*^9, 3.4580676789375*^9}, {3.458067733890625*^9, 3.45806775475*^9}, {3.45806793303125*^9, 3.458067938578125*^9}, 3.458068017609375*^9, {3.458068161453125*^9, 3.458068186625*^9}, 3.458068225734375*^9, {3.458115747328125*^9, 3.458115765375*^9}, { 3.45811724578125*^9, 3.458117264203125*^9}, 3.45811753315625*^9, { 3.4581175931875*^9, 3.45811770515625*^9}, 3.458117741265625*^9, { 3.458117874703125*^9, 3.458117903765625*^9}, {3.4581180073125*^9, 3.458118017828125*^9}, {3.458118518125*^9, 3.458118530796875*^9}, { 3.45813040409375*^9, 3.45813047378125*^9}, 3.458130506875*^9, { 3.458130541328125*^9, 3.45813054996875*^9}, {3.458130916921875*^9, 3.458130917328125*^9}, {3.45813095403125*^9, 3.4581310013125*^9}, 3.45813104184375*^9, {3.458220910984375*^9, 3.4582209678125*^9}, { 3.458221089140625*^9, 3.458221093796875*^9}, {3.45822114653125*^9, 3.45822117715625*^9}, {3.458221241453125*^9, 3.458221261359375*^9}, { 3.45822136840625*^9, 3.458221373765625*^9}, {3.45822144246875*^9, 3.45822147034375*^9}, 3.458221525765625*^9, {3.45822156303125*^9, 3.458221571609375*^9}, {3.45822176609375*^9, 3.458221794703125*^9}, { 3.45822190621875*^9, 3.458222058234375*^9}, {3.458222137265625*^9, 3.45822214259375*^9}, {3.45822218334375*^9, 3.45822221765625*^9}, { 3.458222260859375*^9, 3.458222385078125*^9}, {3.4582225575*^9, 3.45822256259375*^9}, {3.45822260909375*^9, 3.458222627328125*^9}, { 3.4582226638125*^9, 3.45822266878125*^9}, {3.458222721265625*^9, 3.458222737140625*^9}, {3.458223125515625*^9, 3.458223288234375*^9}, { 3.458223382296875*^9, 3.458223386890625*^9}, 3.458223545640625*^9, { 3.4582236426875*^9, 3.45822368409375*^9}, {3.458232821125*^9, 3.458232822453125*^9}, {3.458232856703125*^9, 3.458232858203125*^9}, { 3.458233056421875*^9, 3.458233150046875*^9}, {3.45823324496875*^9, 3.4582332934375*^9}, {3.458233334046875*^9, 3.458233340515625*^9}, { 3.458233371921875*^9, 3.4582334308125*^9}, {3.458233585296875*^9, 3.458233591390625*^9}, {3.458233630453125*^9, 3.45823363646875*^9}, { 3.458233705625*^9, 3.45823375046875*^9}, {3.458233780890625*^9, 3.45823379290625*^9}, {3.4582338720625*^9, 3.458233876734375*^9}, 3.45823392078125*^9, {3.45823413053125*^9, 3.458234164484375*^9}, 3.458234219828125*^9, 3.45823425221875*^9, {3.458234433203125*^9, 3.4582344544375*^9}, {3.458234493*^9, 3.458234497859375*^9}, 3.458234634296875*^9, {3.458234982578125*^9, 3.458235066484375*^9}, { 3.458235247703125*^9, 3.45823525425*^9}, {3.45823530515625*^9, 3.458235333359375*^9}, {3.458235434265625*^9, 3.458235472328125*^9}, { 3.458235519671875*^9, 3.45823554878125*^9}, {3.458235618375*^9, 3.458235637625*^9}, {3.4582812855*^9, 3.458281290859375*^9}, { 3.45828136184375*^9, 3.458281374703125*^9}, {3.458281421453125*^9, 3.4582814268125*^9}, {3.458295219125*^9, 3.45829523696875*^9}, { 3.458295309890625*^9, 3.458295316390625*^9}, {3.458295507234375*^9, 3.458295576734375*^9}, {3.45829563878125*^9, 3.458295686328125*^9}, { 3.458295779640625*^9, 3.45829579640625*^9}, {3.45829583053125*^9, 3.458295837609375*^9}, {3.458295927625*^9, 3.4582959325625*^9}, { 3.4582959940625*^9, 3.4582960255625*^9}, {3.458296095796875*^9, 3.45829613584375*^9}, {3.458296637875*^9, 3.45829665778125*^9}, 3.458297150875*^9, {3.458297259875*^9, 3.458297264921875*^9}, { 3.45829770728125*^9, 3.458297712515625*^9}, {3.4582982839375*^9, 3.45829829321875*^9}, {3.45829868653125*^9, 3.45829873175*^9}, { 3.458298771015625*^9, 3.458298771671875*^9}, {3.458298805546875*^9, 3.45829880634375*^9}, {3.4582988455*^9, 3.458298851765625*^9}, { 3.458298943453125*^9, 3.458298950234375*^9}, 3.458299047328125*^9, { 3.4582997834375*^9, 3.458299790578125*^9}, {3.458300183375*^9, 3.458300183828125*^9}, {3.4583002926875*^9, 3.4583002975625*^9}, { 3.45830037365625*^9, 3.4583003883125*^9}, {3.458300967703125*^9, 3.4583009685*^9}, {3.458301030109375*^9, 3.45830103803125*^9}, { 3.458301107125*^9, 3.45830114540625*^9}, {3.45830120340625*^9, 3.45830122775*^9}, {3.4583014229375*^9, 3.458301427609375*^9}, 3.458301587578125*^9, {3.4583027*^9, 3.458302727015625*^9}, 3.458302771359375*^9, {3.45830295271875*^9, 3.45830296065625*^9}, { 3.458303005*^9, 3.458303030453125*^9}, {3.45830310525*^9, 3.458303125015625*^9}, 3.4583032670625*^9, {3.458303358234375*^9, 3.4583033633125*^9}, {3.458303401265625*^9, 3.458303441390625*^9}, { 3.4583035105625*^9, 3.45830352678125*^9}, {3.458325658953125*^9, 3.458325669171875*^9}, {3.45832591971875*^9, 3.45832593009375*^9}, { 3.45836693403125*^9, 3.45836694659375*^9}, {3.4583810165625*^9, 3.458381021890625*^9}, {3.4585551366875*^9, 3.458555427296875*^9}, 3.4585555011875*^9, {3.458555558*^9, 3.45855579753125*^9}, { 3.4585558335*^9, 3.45855593590625*^9}, {3.45855597284375*^9, 3.458556266203125*^9}, {3.458556327203125*^9, 3.458556345984375*^9}, 3.4585564413125*^9, {3.458556479*^9, 3.4585564834375*^9}, { 3.4585565503125*^9, 3.4585565733125*^9}, {3.458556663078125*^9, 3.458556684421875*^9}, {3.458556718703125*^9, 3.45855674734375*^9}, { 3.458557245609375*^9, 3.458557256171875*^9}, {3.458557290421875*^9, 3.458557302625*^9}, {3.4585573473125*^9, 3.45855738803125*^9}, { 3.458557733734375*^9, 3.458557787*^9}, {3.458557825671875*^9, 3.458557888984375*^9}, {3.45855794496875*^9, 3.458557975109375*^9}, { 3.458558025140625*^9, 3.45855803003125*^9}, {3.458560481234375*^9, 3.458560551265625*^9}, {3.458560614296875*^9, 3.458560645078125*^9}, { 3.4585607035*^9, 3.4585607615*^9}, {3.458560798859375*^9, 3.45856085078125*^9}, {3.45856088309375*^9, 3.458560888515625*^9}, { 3.458560923890625*^9, 3.4585610398125*^9}, {3.458561160390625*^9, 3.45856116440625*^9}, {3.458561198671875*^9, 3.45856123153125*^9}, { 3.458561287375*^9, 3.45856130096875*^9}, {3.45856135271875*^9, 3.4585613925*^9}, 3.458561429265625*^9, {3.45856156134375*^9, 3.45856156346875*^9}, {3.45856166578125*^9, 3.45856168984375*^9}, { 3.458561750765625*^9, 3.458561804453125*^9}, {3.458561853109375*^9, 3.458562087046875*^9}, {3.4585621723125*^9, 3.458562176828125*^9}, { 3.458562305234375*^9, 3.45856232225*^9}, {3.458562372140625*^9, 3.458562456609375*^9}, {3.458562591453125*^9, 3.458562591984375*^9}, { 3.45856263115625*^9, 3.458562660421875*^9}, {3.45856281146875*^9, 3.458562975015625*^9}, {3.458563010515625*^9, 3.458563015296875*^9}, { 3.45856306309375*^9, 3.458563089375*^9}, {3.458563157828125*^9, 3.45856322090625*^9}, {3.45872631296875*^9, 3.458726331890625*^9}, { 3.458726390875*^9, 3.4587264605*^9}, 3.458726523046875*^9, { 3.45872721240625*^9, 3.45872731325*^9}, {3.458727385734375*^9, 3.458727442828125*^9}, {3.458727487421875*^9, 3.458727508921875*^9}, { 3.458727564796875*^9, 3.45872757*^9}, {3.4587276916875*^9, 3.458727695265625*^9}, {3.458727733*^9, 3.45872773653125*^9}, { 3.458727867125*^9, 3.45872786915625*^9}, {3.4587283045625*^9, 3.458728320828125*^9}, {3.4587285619375*^9, 3.458728581109375*^9}, { 3.458728687390625*^9, 3.458728687921875*^9}, {3.458728765078125*^9, 3.458728774546875*^9}, 3.458728971546875*^9, {3.45872915946875*^9, 3.458729160375*^9}, {3.458729450984375*^9, 3.45872946934375*^9}, { 3.45872985371875*^9, 3.4587298910625*^9}, {3.45873001903125*^9, 3.458730055078125*^9}, {3.458730293984375*^9, 3.458730314234375*^9}, { 3.45873036384375*^9, 3.458730408375*^9}, {3.45873051265625*^9, 3.458730521796875*^9}, {3.458730581578125*^9, 3.45873060428125*^9}, { 3.4587306385625*^9, 3.458730679421875*^9}, {3.45873072021875*^9, 3.458730736296875*^9}, {3.4587308549375*^9, 3.4587308841875*^9}, { 3.458732323421875*^9, 3.45873260390625*^9}, {3.458732697625*^9, 3.45873274640625*^9}, {3.458732997625*^9, 3.45873299890625*^9}, { 3.458733240265625*^9, 3.45873325865625*^9}, {3.458733311*^9, 3.45873334896875*^9}, {3.45873338028125*^9, 3.45873345509375*^9}, { 3.45873351221875*^9, 3.458733536765625*^9}, {3.458733583796875*^9, 3.45873359384375*^9}, {3.458733628796875*^9, 3.458733676296875*^9}, { 3.459334041859375*^9, 3.459334057515625*^9}, {3.4593341604375*^9, 3.459334229015625*^9}, {3.45933448484375*^9, 3.45933450428125*^9}, { 3.459334633125*^9, 3.459334665046875*^9}, {3.459334794234375*^9, 3.4593348336875*^9}, {3.459413707125*^9, 3.45941377228125*^9}, { 3.4594138068125*^9, 3.459413946546875*^9}, 3.459414007171875*^9, { 3.459414132625*^9, 3.45941413771875*^9}, 3.45957469565625*^9, 3.459574746015625*^9, {3.459574813890625*^9, 3.4595748445*^9}, 3.45957502503125*^9, {3.459575158359375*^9, 3.459575167109375*^9}, { 3.459686758734375*^9, 3.459686764125*^9}, {3.459686800671875*^9, 3.459686814109375*^9}, {3.45968690228125*^9, 3.4596869129375*^9}, { 3.46029678759375*^9, 3.4602967974375*^9}, {3.460296955671875*^9, 3.460296994765625*^9}, {3.460297377390625*^9, 3.460297522171875*^9}, { 3.460297561984375*^9, 3.46029756253125*^9}, 3.460297648515625*^9, { 3.460297694609375*^9, 3.460297832640625*^9}, {3.460469618765625*^9, 3.460469663859375*^9}, {3.46046970465625*^9, 3.46046971834375*^9}, { 3.4604698564375*^9, 3.4604698665*^9}, {3.460470043609375*^9, 3.460470136953125*^9}}, FontSize->18], Cell[BoxData["1"], "Output", CellChangeTimes->{ 3.458730059921875*^9, 3.458730529703125*^9, 3.45873068303125*^9, 3.458730741578125*^9, 3.45873088953125*^9, 3.458732356265625*^9, 3.458732776359375*^9, 3.458732938296875*^9, 3.458733025640625*^9, 3.458733458828125*^9, 3.458733541*^9, 3.45873359884375*^9, 3.458733682421875*^9, 3.45941397771875*^9, 3.459414170171875*^9, 3.45957465875*^9, 3.459574924109375*^9, 3.459575035859375*^9, 3.459575108671875*^9, 3.459575189484375*^9, 3.459587597515625*^9, 3.4596866770625*^9, 3.45968676953125*^9, 3.459686819140625*^9, 3.459940580484375*^9, 3.46013865859375*^9, 3.4601389144375*^9, 3.46013984646875*^9, 3.4602968019375*^9, 3.460297278734375*^9, { 3.460297598875*^9, 3.4602976066875*^9}, 3.46029765434375*^9, 3.460297857609375*^9, 3.460297924546875*^9, 3.460469753484375*^9, 3.46046988271875*^9, 3.4604700085625*^9, 3.4604702373125*^9}], Cell[BoxData["2.238`"], "Output", CellChangeTimes->{ 3.458730059921875*^9, 3.458730529703125*^9, 3.45873068303125*^9, 3.458730741578125*^9, 3.45873088953125*^9, 3.458732356265625*^9, 3.458732776359375*^9, 3.458732938296875*^9, 3.458733025640625*^9, 3.458733458828125*^9, 3.458733541*^9, 3.45873359884375*^9, 3.458733682421875*^9, 3.45941397771875*^9, 3.459414170171875*^9, 3.45957465875*^9, 3.459574924109375*^9, 3.459575035859375*^9, 3.459575108671875*^9, 3.459575189484375*^9, 3.459587597515625*^9, 3.4596866770625*^9, 3.45968676953125*^9, 3.459686819140625*^9, 3.459940580484375*^9, 3.46013865859375*^9, 3.4601389144375*^9, 3.46013984646875*^9, 3.4602968019375*^9, 3.460297278734375*^9, { 3.460297598875*^9, 3.4602976066875*^9}, 3.46029765434375*^9, 3.460297857609375*^9, 3.460297924546875*^9, 3.460469753484375*^9, 3.46046988271875*^9, 3.4604700085625*^9, 3.46047023734375*^9}], Cell[BoxData[ TagBox[ StyleBox[ DynamicModuleBox[{$CellContext`thetaG$$ = -0.06, Typeset`show$$ = True, Typeset`bookmarkList$$ = {}, Typeset`bookmarkMode$$ = "Menu", Typeset`animator$$, Typeset`animvar$$ = 1, Typeset`name$$ = "\"untitled\"", Typeset`specs$$ = {{ Hold[$CellContext`thetaG$$], CompressedData[" 1:eJwt0ztsFFcUBuClpaYmSpeUKDW6JWmhpooEbUKbtElNkyYpaHCTxlIkpICE uOERAZFBdoyzxjHOvt+Pec+WeIdvCluze+ac/ztz9/Nvvr1x60Kr1bpy/ufG w8s/za9v4pc37z4rv9jEVnNtYvv+d1cvtuu4e637/aXdOp4XnVfWsSm7Wcev mquOF5vCOm6rrnWr2LR7WMWm7G4VbzdXFa82hVW81DSs4mLbbl7G59uyZ2X8 9ZftVcY7TWEZv24alvGzZnAZq6asiG/2tlcRd7bx7hfxh6ZhET85Co6Co+DI OXKOnCPnyDlyjowj48g4Mo6MI+NIOVKOlCPlSDlSjoQj4Ug4Eo6EI+FI5F/L vZZ3LedKvpVcK3mWcizNX5q7MG9hzsKe5vYzt5e5fczsYcY/457yTjmnfBOu Cc+EY8Ix5hhzjDlGHCOOEceQY8gx5BhwDDgGHH2OPkefo8fR4+hxdDm6HF2O DkeHo8PRkf9/uc/kPZPzg3yncp3K858cJ+afmPvevGNzju2pbT9te/nXPo7s 4Yj/Hfch7yHnP3wHXAc8+xz78r+V+428e3L+Ld9ruV7J81KOv8x/Ye5z856a 86f+T/R9rN8jff7w/APP/a5+V91vvt/x+T33P/v/I0er5T74Pqh3vxP08/lu MM/3D4I86h4FedU/CTyeexp4Pf8i2Ic+L4N96fc62Ke+e8G+9X8bvA9z9oP3 Zd5B8D7NPQzet/nvgvMgx1FwXuRpB+dJruPgvMn3PjiPcp4E51Xe0+A8y/0h OO/ynwW/B46OOR2ejnkdrq65Xb6u+T3Onhw93r48fe6+XAP+gXwDexjKObSP obwjexnJPbKfsfxjexpzTDgmHBOOCceUY8ox5ZhxzDhmHHOOOcecY8Gx4Fhw LDmWHEuOFceKY8Wx5lhzrDkScxKexLyEKzE34UvMTzlTOVLeVJ6UO5Ur48/k y+whkzOzj0ze3F5yuXP7yeXP7SnnKDgKjoKj4Cg4Co6Co+QoOUqOkqPkKDkq joqj4qg4Ko6Ko+aoOWqOmqPmqDk2HBuOTfgIbx4OmA== "]}}, Typeset`size$$ = {1117., {556., 560.}}, Typeset`update$$ = 0, Typeset`initDone$$, Typeset`skipInitDone$$ = True, $CellContext`thetaG$9704$$ = 0}, DynamicBox[Manipulate`ManipulateBoxes[ 1, StandardForm, "Variables" :> {$CellContext`thetaG$$ = -1.52}, "ControllerVariables" :> { Hold[$CellContext`thetaG$$, $CellContext`thetaG$9704$$, 0]}, "OtherVariables" :> { Typeset`show$$, Typeset`bookmarkList$$, Typeset`bookmarkMode$$, Typeset`animator$$, Typeset`animvar$$, Typeset`name$$, Typeset`specs$$, Typeset`size$$, Typeset`update$$, Typeset`initDone$$, Typeset`skipInitDone$$}, "Body" :> ParametricPlot[{{ $CellContext`xRL[ $CellContext`thetp[$CellContext`theta], $CellContext`a, \ $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], $CellContext`a, \ $CellContext`e]}, { $CellContext`xRR[ $CellContext`thetp[$CellContext`theta], $CellContext`a, \ $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], $CellContext`a, \ $CellContext`e]}, { $CellContext`Xrot[ $CellContext`xRR[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`d1[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`Yrot[ $CellContext`xRR[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`d2[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]]}, { 0.2 Cos[$CellContext`theta], 0.2 Sin[$CellContext`theta]}, { $CellContext`Xrot[ $CellContext`xRL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`d1[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`Yrot[ $CellContext`xRL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`yL[ $CellContext`thetp[$CellContext`theta], 0.3 $CellContext`a, $CellContext`e], $CellContext`d2[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]]}, { 0.2 (1/2 - $CellContext`theta/(2.6 Pi)) Cos[6 $CellContext`theta] - 2 $CellContext`a $CellContext`e, 0.2 (1/2 - $CellContext`theta/(2.6 Pi)) Sin[6 $CellContext`theta]}, {$CellContext`d1[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e] + 0.2 (1/2 - $CellContext`theta/(2.6 Pi)) Cos[6 $CellContext`theta], $CellContext`d2[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e] + 0.2 (1/2 - $CellContext`theta/(2.6 Pi)) Sin[6 $CellContext`theta]}, \ {$CellContext`d1[$CellContext`thetaG$$, $CellContext`a, $CellContext`e] + (2 0.3 $CellContext`a $CellContext`e) Cos[$CellContext`theta], $CellContext`d2[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e] + (2 0.3 $CellContext`a $CellContext`e) Sin[$CellContext`theta]}, { 0.2 Cos[$CellContext`theta] + $CellContext`Xrot[-(2 0.3 $CellContext`a $CellContext`e), 0, $CellContext`d1[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], 0.2 Sin[$CellContext`theta] + $CellContext`Yrot[-(2 0.3 $CellContext`a $CellContext`e), 0, $CellContext`d2[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]]}, {$CellContext`theta \ ($CellContext`d1[$CellContext`thetaG$$, $CellContext`a, $CellContext`e]/ 4), $CellContext`theta ($CellContext`d2[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e]/4)}, {(-2) $CellContext`a $CellContext`e + 2 $CellContext`theta (($CellContext`d1[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e] + 2 $CellContext`a $CellContext`e)/7), 2 $CellContext`theta ($CellContext`d2[$CellContext`thetaG$$, \ $CellContext`a, $CellContext`e]/7)}, { $CellContext`Xrot[3 $CellContext`theta, 0, $CellContext`d1[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`Yrot[3 $CellContext`theta, 0, $CellContext`d2[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e], $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]]}, { 3 $CellContext`theta - 2 $CellContext`a $CellContext`e, 0}, { $CellContext`Xrot[(-$CellContext`rsG[$CellContext`theta, \ $CellContext`e]) Cos[ $CellContext`PhiR[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`rsG[$CellContext`theta, $CellContext`e] Sin[ $CellContext`PhiR[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], (-2) $CellContext`a $CellContext`e, \ $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, $CellContext`e] - Pi], $CellContext`Yrot[(-$CellContext`rsG[$CellContext`theta, \ $CellContext`e]) Cos[ $CellContext`PhiR[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`rsG[$CellContext`theta, $CellContext`e] Sin[ $CellContext`PhiR[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], 0, $CellContext`betaPP[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e] - Pi]}, { $CellContext`Xrot[(-$CellContext`rsG[$CellContext`theta, \ $CellContext`e]) Cos[ $CellContext`phi[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`rsG[$CellContext`theta, $CellContext`e] Sin[ $CellContext`phi[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], Plus[ $CellContext`d1[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], 0], $CellContext`Yrot[(-$CellContext`rsG[$CellContext`theta, \ $CellContext`e]) Cos[ $CellContext`phi[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], $CellContext`rsG[$CellContext`theta, $CellContext`e] Sin[ $CellContext`phi[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], Plus[ $CellContext`d2[$CellContext`thetaG$$, $CellContext`a, \ $CellContext`e]], 0]}}, {$CellContext`theta, (-1.3) Pi, Plus[1.3] Pi}, PlotRange -> {-10, Plus[10]}, {PlotStyle -> { RGBColor[0, 1, 0], RGBColor[0, 1, 0], RGBColor[1, 0, 0], RGBColor[0, 1, 0], RGBColor[1, 0, 0], RGBColor[1, 0, 0], RGBColor[0, 1, 0], RGBColor[1, 0.6, 0.5], RGBColor[1, 0, 0], RGBColor[0, 1, 0], RGBColor[0, 1, 0], RGBColor[1, 0, 0], RGBColor[0, 1, 0], RGBColor[1, 0, 0], RGBColor[1, 0, 0]}}], "Specifications" :> {{$CellContext`thetaG$$, CompressedData[" 1:eJwt0ztsFFcUBuClpaYmSpeUKDW6JWmhpooEbUKbtElNkyYpaHCTxlIkpICE uOERAZFBdoyzxjHOvt+Pec+WeIdvCluze+ac/ztz9/Nvvr1x60Kr1bpy/ufG w8s/za9v4pc37z4rv9jEVnNtYvv+d1cvtuu4e637/aXdOp4XnVfWsSm7Wcev mquOF5vCOm6rrnWr2LR7WMWm7G4VbzdXFa82hVW81DSs4mLbbl7G59uyZ2X8 9ZftVcY7TWEZv24alvGzZnAZq6asiG/2tlcRd7bx7hfxh6ZhET85Co6Co+DI OXKOnCPnyDlyjowj48g4Mo6MI+NIOVKOlCPlSDlSjoQj4Ug4Eo6EI+FI5F/L vZZ3LedKvpVcK3mWcizNX5q7MG9hzsKe5vYzt5e5fczsYcY/457yTjmnfBOu Cc+EY8Ix5hhzjDlGHCOOEceQY8gx5BhwDDgGHH2OPkefo8fR4+hxdDm6HF2O DkeHo8PRkf9/uc/kPZPzg3yncp3K858cJ+afmPvevGNzju2pbT9te/nXPo7s 4Yj/Hfch7yHnP3wHXAc8+xz78r+V+428e3L+Ld9ruV7J81KOv8x/Ye5z856a 86f+T/R9rN8jff7w/APP/a5+V91vvt/x+T33P/v/I0er5T74Pqh3vxP08/lu MM/3D4I86h4FedU/CTyeexp4Pf8i2Ic+L4N96fc62Ke+e8G+9X8bvA9z9oP3 Zd5B8D7NPQzet/nvgvMgx1FwXuRpB+dJruPgvMn3PjiPcp4E51Xe0+A8y/0h OO/ynwW/B46OOR2ejnkdrq65Xb6u+T3Onhw93r48fe6+XAP+gXwDexjKObSP obwjexnJPbKfsfxjexpzTDgmHBOOCceUY8ox5ZhxzDhmHHOOOcecY8Gx4Fhw LDmWHEuOFceKY8Wx5lhzrDkScxKexLyEKzE34UvMTzlTOVLeVJ6UO5Ur48/k y+whkzOzj0ze3F5yuXP7yeXP7SnnKDgKjoKj4Cg4Co6Co+QoOUqOkqPkKDkq joqj4qg4Ko6Ko+aoOWqOmqPmqDk2HBuOTfgIbx4OmA== "], AppearanceElements -> { "ProgressSlider", "PlayPauseButton", "FasterSlowerButtons", "DirectionButton"}}}, "Options" :> { ControlType -> Animator, AppearanceElements -> None, SynchronousUpdating -> True, ShrinkingDelay -> 10.}, "DefaultOptions" :> {}], ImageSizeCache->{1164., {596., 601.}}, SingleEvaluation->True], Deinitialization:>None, DynamicModuleValues:>{}, SynchronousInitialization->True, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], Manipulate`InterpretManipulate[1]]], "Output", CellChangeTimes->{ 3.458730059921875*^9, 3.458730529703125*^9, 3.45873068303125*^9, 3.458730741578125*^9, 3.45873088953125*^9, 3.458732356265625*^9, 3.458732776359375*^9, 3.458732938296875*^9, 3.458733025640625*^9, 3.458733458828125*^9, 3.458733541*^9, 3.45873359884375*^9, 3.458733682421875*^9, 3.45941397771875*^9, 3.459414170171875*^9, 3.45957465875*^9, 3.459574924109375*^9, 3.459575035859375*^9, 3.459575108671875*^9, 3.459575189484375*^9, 3.459587597515625*^9, 3.4596866770625*^9, 3.45968676953125*^9, 3.459686819140625*^9, 3.459940580484375*^9, 3.46013865859375*^9, 3.4601389144375*^9, 3.46013984646875*^9, 3.4602968019375*^9, 3.460297278734375*^9, { 3.460297598875*^9, 3.4602976066875*^9}, 3.46029765434375*^9, 3.460297857609375*^9, 3.460297924546875*^9, 3.460469753484375*^9, 3.46046988271875*^9, 3.4604700085625*^9, {3.460470237765625*^9, 3.460470276203125*^9}, 3.460470324546875*^9}] }, Open ]], Cell["", "PageBreak", PageBreakBelow->True] }, WindowSize->{1272, 984}, WindowMargins->{{30, Automatic}, {Automatic, 40}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, FrontEndVersion->"7.0 for Microsoft Windows (32-bit) (November 10, 2008)", StyleDefinitions->"Default.nb" ] (* End of Notebook Content *) (* Internal cache information *) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[567, 22, 110933, 2145, 2926, "Input"], Cell[111503, 2169, 925, 14, 30, "Output"], Cell[112431, 2185, 931, 14, 30, "Output"], Cell[113365, 2201, 12154, 242, 1214, "Output"] }, Open ]], Cell[125534, 2446, 44, 1, 4, "PageBreak", PageBreakBelow->True] } ] *) (* End of internal cache information *)