(************** Content-type: application/mathematica ************** Mathematica-Compatible Notebook This notebook can be used with any Mathematica-compatible application, such as Mathematica, MathReader or Publicon. The data for the notebook starts with the line containing stars above. To get the notebook into a Mathematica-compatible application, do one of the following: * Save the data starting with the line of stars above into a file with a name ending in .nb, then open the file inside the application; * Copy the data starting with the line of stars above to the clipboard, then use the Paste menu command inside the application. Data for notebooks contains only printable 7-bit ASCII and can be sent directly in email or through ftp in text mode. Newlines can be CR, LF or CRLF (Unix, Macintosh or MS-DOS style). NOTE: If you modify the data for this notebook not in a Mathematica- compatible application, you must delete the line below containing the word CacheID, otherwise Mathematica-compatible applications may try to use invalid cache data. For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. *******************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1043958, 24422]*) (*NotebookOutlinePosition[ 1044717, 24448]*) (* CellTagsIndexPosition[ 1044673, 24444]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell[TextData[{ StyleBox["Metodi di Computer Algebra applicati alla\nTeoria delle Onde \ Gravitazionali", FontSize->40, FontColor->RGBColor[0.87892, 0.117189, 0.308598]], "\n", StyleBox["Se Einstein e Fermi avessero avuto a disposizione un PC di \ oggi...", FontFamily->"Verdana", FontSize->24, FontSlant->"Italic", FontVariations->{"CompatibilityType"->0}] }], "Title", TextAlignment->Center], Cell["\<\ \ \>", "Text"], Cell[CellGroupData[{ Cell[TextData[StyleBox["1) Come... ?", FontSize->36]], "Subtitle", CellFrame->{{0, 0}, {0, 2}}], Cell[CellGroupData[{ Cell[TextData[{ "... perturbare la metrica di Reissner-Nordstr", StyleBox["\[OSlash]", FontFamily->"Arial"], "m\n" }], "Section 1", FontSize->24], Cell[CellGroupData[{ Cell["\<\ Metrica di R-N imperturbata (massa \"m\", carica \"Q\") con segnatura - + + \ + \ \>", "Subsection", FontSize->24], Cell["\<\ I tensori notevoli -Riemann, Ricci, Einstein, Weyl- sono calcolati dalla \ funzione \"Components\" di MathTensor a partire da un file di testo che \ contiene il tensore metrico scelto e le preferenze quanto ai metodi di \ calcolo : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(<< RN.m\)], "Input", FontSize->24, Cell[BoxData[ \("MetricgFlag has been turned off."\)], "Print", FontSize->24 }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Table[Metricg[\(-i\), \(-j\)], {i, 4}, {j, 4}] // MatrixForm\)], "Input",\ FontSize->24, Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {\(\(-1\) - Q\^2\/r\^2 + \(2\ m\)\/r\), "0", "0", "0"}, {"0", \(1\/\(1 + Q\^2\/r\^2 - \(2\ m\)\/r\)\), "0", "0"}, {"0", "0", \(r\^2\), "0"}, {"0", "0", "0", \(r\^2\ Sin[\[Theta]]\^2\)} }], "\[NoBreak]", ")"}], (MatrixForm[ #]&)]], "Output", FontSize->24 }, Open ]], Cell[TextData[{ "\nIl quadripotenziale del campo elettrostatico di carica Q dell' EMBH \ nella convenzione di MTW: ", Cell[BoxData[ \(TraditionalForm\`A\_i = \((\(-\ \[Phi]\), \ A\&_\ \ )\)\)]], " :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[A, {{1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"A\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[{ \(\(A /: A[\(-1\)] = \(-Q\)/r;\)\), "\[IndentingNewLine]", \(\(A /: A[\(-2\)] = 0;\)\), "\[IndentingNewLine]", \(\(A /: A[\(-3\)] = 0;\)\), "\[IndentingNewLine]", \(\(A /: A[\(-4\)] = 0;\)\)}], "Input", FontSize->24], Cell[TextData[{ "\nTensore di Maxwell ", Cell[BoxData[ \(TraditionalForm\`F\_\(\(\ \)\(i\ j\)\)\)]], " = ", Cell[BoxData[ \(TraditionalForm\`A\_\(\(\ \)\(j; i\)\) - A\_\(i; j\)\)]], " :\n" }], "Text", FontSize->24], Cell[BoxData[ \(\(MaxwellF[li_, lj_] = CDtoOD[CD[A[lj], li] - CD[A[li], lj]];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[MaxwellF[\(-i\), \(-j\)], {i, 4}, {j, 4}] // MatrixForm\)], "Input", FontSize->24], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0", \(-\(Q\/r\^2\)\), "0", "0"}, {\(Q\/r\^2\), "0", "0", "0"}, {"0", "0", "0", "0"}, {"0", "0", "0", "0"} }], "\[NoBreak]", ")"}], (MatrixForm[ #]&)]], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nTensore energia-impulso ", Cell[BoxData[ \(TraditionalForm\`T\_\(\(\ \)\(i\ j\)\)\)]], " = ", Cell[BoxData[ \(TraditionalForm\`\(1\/\(4 \[Pi]\)\) \((\(\(F\^\(\(\ \ \)\(k\)\)\)\_\(\(\ \)\(i\)\)\) F\_\(\(\ \)\(k\ j\)\) - \(1\/4\) \(g\_\(\(\ \)\(i\ j\)\)\) \ \(F\^\(\(\ \)\(p\ q\)\)\) F\_\(\(\ \)\(p\ q\)\))\)\)]], " :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[T, {{2, 1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"sym" \(\(:\)\(\ \)\) "Symmetries of \!\(\"T\"\) assigned"\)], "Message", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"T\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[ \(\(T[li_, lj_] = \(1\/\(4 \[Pi]\)\) \((Metricg[uk, ul] MaxwellF[lk, li] MaxwellF[ll, lj] - \(1\/4\) Metricg[uk, um] Metricg[un, ul] MaxwellF[lm, ln] MaxwellF[lk, ll] Metricg[li, lj])\);\)\)], "Input", FontSize->24], Cell["\<\ Versione matriciale di T (componenti indipendenti) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(MT = Table[Simplify[MakeSum[T[\(-i\), \(-j\)]]], {i, 4}, {j, i, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{\(Q\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\/\(8\ \[Pi]\ r\^6\), 0, 0, 0}, {\(-\(Q\^2\/\(8\ \[Pi]\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\)\), 0, 0}, {Q\^2\/\(8\ \[Pi]\ r\^2\), 0}, {\(Q\^2\ Sin[\[Theta]]\^2\)\/\(8\ \[Pi]\ r\^2\)}}\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Controllo della conservazione di T: \[Del] T = 0 \ \>", "Subsubsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[MakeSum[Metricg[ua, ub] T[la, lb]]]\)], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Versione matriciale di G (componenti indipendenti) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(MG = Table[EinsteinG[\(-i\), \(-j\)], {i, 4}, {j, i, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{\(Q\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\/r\^6, 0, 0, 0}, {\(-\(Q\^2\/\(r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\)\), 0, 0}, {Q\^2\/r\^2, 0}, {\(Q\^2\ Sin[\[Theta]]\^2\)\/r\^2}}\)], "Output",\ FontSize->24] }, Open ]], Cell["\<\ Verifica delle equazioni di Einstein relative alla metrica imperturbata : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[MG - 8 \[Pi]\ MT]\)], "Input", FontSize->24], Cell[BoxData[ \({{0, 0, 0, 0}, {0, 0, 0}, {0, 0}, {0}}\)], "Output", FontSize->24] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Metrica con perturbazioni polari \ \>", "Subsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(<< RNpp.m\)], "Input", FontSize->24], Cell[BoxData[ \("MetricgFlag has been turned off."\)], "Print", FontSize->24] }, Open ]], Cell[TextData[{ "\nForma di ", Cell[BoxData[ \(TraditionalForm\`g\_\(\(\ \)\(\[Mu]\[Nu]\)\)\)]], " ; q \[EGrave] il parametro perturbativo rispetto al quale viene \ effettuato lo sviluppo al primo ordine :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[Metricg[\(-i\), \(-j\)], {i, 4}, {j, 4}] // MatrixForm\)], "Input",\ FontSize->24], Cell[BoxData[ \({{\((1 + Q\^2\/r\^2 - \(2\ m\)\/r)\)\ \((\(-1\) + \[ExponentialE]\^\(\(-\ \[ImaginaryI]\)\ k\ t\)\ q\ F[\[Theta]]\ H\_0[ r])\), \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ F[\ \[Theta]]\ H\_1[r], 0, 0}, {\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ F[\[Theta]]\ H\ \_1[r], \(1 + \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ F[\[Theta]]\ \ H\_2[r]\)\/\(1 + Q\^2\/r\^2 - \(2\ m\)\/r\), 0, 0}, {0, 0, r\^2\ \((1 + \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ F[\ \[Theta]]\ K[r])\), 0}, {0, 0, 0, r\^2\ \((1 + \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ F[\ \[Theta]]\ K[r])\)\ Sin[\[Theta]]\^2}}\)], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\n", StyleBox["Il quadripotenziale del campo elettrostatico perturbato :", Background->None], "\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[Ap, {{1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"Ap\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[{ \(\(Ap /: Ap[\(-1\)] = \(-Q\)/r - q\ \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ F[\[Theta]] f\_0[r];\)\), "\[IndentingNewLine]", \(\(Ap /: Ap[\(-2\)] = \(-q\)\ \[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ \ F[\[Theta]] f\_1[r];\)\), "\[IndentingNewLine]", \(\(Ap /: Ap[\(-3\)] = 0;\)\), "\[IndentingNewLine]", \(\(Ap /: Ap[\(-4\)] = 0;\)\)}], "Input", FontSize->24], Cell["\<\ Tensore di Maxwell perturbato : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[MaxPert, {{2, 1}, \(-1\)}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"sym" \(\(:\)\(\ \)\) "Symmetries of \!\(\"MaxPert\"\) assigned"\)], "Message", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"MaxPert\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[ \(\(MaxPert[li_, lj_] = CDtoOD[CD[Ap[lj], li] - CD[Ap[li], lj]];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[Simplify[MaxPert[\(-i\), \(-j\)]], {i, 4}, {j, 4}] // MatrixForm\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{"0", ",", RowBox[{\(-\(Q\/r\^2\)\), "+", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ f\_1[r]\), "+", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ",", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(f\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(Q\/r\^2\), "-", RowBox[{ "\[ImaginaryI]", " ", \(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(k\ f\_1[r]\), "-", RowBox[{"\[ImaginaryI]", " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ",", "0", ",", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(f\_1[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(-\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(f\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], ",", RowBox[{\(-\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", \(f\_1[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], ",", "0", ",", "0"}], "}"}], ",", \({0, 0, 0, 0}\)}], "}"}]], "Output",\ FontSize->24] }, Open ]], Cell["\<\ Tensore energia-impulso perturbato : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[Tp, {{2, 1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"sym" \(\(:\)\(\ \)\) "Symmetries of \!\(\"Tp\"\) assigned"\)], "Message", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"Tp\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[ \(\(Tp[li_, lj_] = \(1\/\(4 \[Pi]\)\) \((Metricg[uk, ul] MaxPert[lk, li] MaxPert[ll, lj] - \(1\/4\) Metricg[uk, um] Metricg[un, ul] MaxPert[lm, ln] MaxPert[lk, ll] Metricg[li, lj])\);\)\)], "Input", FontSize->24], Cell["\<\ Versione matriciale di Tp al primo ordine (componenti indipendenti) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(MTp = Table[Simplify[ Normal[Series[MakeSum[Tp[\(-i\), \(-j\)]], {q, 0, 1}]]], {i, 4}, {j, i, 4}]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\[ImaginaryI]\ k\ t\)\ Q\), "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "-", \(Q\ H\_2[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^6\)], ",", \(-\(\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ q\ \ Q\^2\ F[\[Theta]]\ H\_1[r]\)\/\(8\ \[Pi]\ r\^4\)\)\), ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(f\_1[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], \(4\ \[Pi]\ r\^4\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{"-", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\[ImaginaryI]\ k\ t\)\ Q\), "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", "Q", " ", \(f\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], \(4\ \[Pi]\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\[ImaginaryI]\ k\ t\)\ Q\), "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(Q\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", \(Q\ H\_2[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\)], ",", "0"}], "}"}], ",", RowBox[{"{", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\[ImaginaryI]\ k\ t\)\ Q\), "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(Q\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", \(Q\ H\_2[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\)], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Conservazione di T: \[Del] T = 0 (al primo ordine) \ \>", "Subsubsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[ Series[MakeSum[Metricg[ua, ub] Tp[la, lb]], {q, 0, 1}]]\)], "Input", FontSize->24], Cell[BoxData[ InterpretationBox[\(O[q]\^2\), SeriesData[ q, 0, {}, 2, 2, 1]]], "Output", FontSize->24] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Sistema di Einstein \ \>", "Subsection", FontSize->24], Cell["\<\ Versione matriciale di G perturbato (componenti indipendenti) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(MGp = Table[EinsteinG[\(-i\), \(-j\)], {i, 4}, {j, i, 4}]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", RowBox[{\(1\/\(2\ r\^6\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ExponentialE]\^\(\[ImaginaryI]\ k\ \ t\)\ Q\^2\), "+", RowBox[{ "q", " ", \(r\^2\), " ", \(Cot[\[Theta]]\), " ", \(H\_2[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{"q", " ", \(r\^2\), " ", \(H\_2[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{ "q", " ", \(r\^2\), " ", \(Csc[\[Theta]]\), " ", \(K[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{"2", " ", "q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(r\^2\ K[r]\), "+", \(Q\^2\ H\_0[r]\), "+", \(Q\^2\ H\_2[r]\), "-", \(r\^2\ H\_2[r]\), "+", RowBox[{"2", " ", \(Q\^2\), " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"5", " ", "m", " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", "m", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "m", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}]}], ",", RowBox[{\(1\/\(2\ r\^4\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", "\[ImaginaryI]", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-k\)\ r\^3\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-\[ImaginaryI]\)\ Q\^2\ H\_1[r]\), "+", RowBox[{"k", " ", \(r\^3\), " ", RowBox[{"(", RowBox[{\(H\_2[r]\), "-", RowBox[{"r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], "-", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \(H\_1[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^3\ K[r]\), "-", \(2\ \((Q\^2 - m\ r)\)\ H\_1[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\^3\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\^2\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", "q", " ", "r", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-r\)\ \((Q\^2 + r\ \((\(-2\)\ m + r + k\^2\ r\^3)\))\)\ K[ r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ H\_1[ r]\), "+", \(r\ H\_2[r]\), "+", RowBox[{"m", " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "m", " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], "-", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ExponentialE]\^\(\[ImaginaryI]\ k\ t\ \)\ Q\^2\), "-", RowBox[{ "q", " ", \(r\^2\), " ", \(Csc[\[Theta]]\), " ", \(K[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{ "q", " ", \(r\^2\), " ", \(Csc[\[Theta]]\), " ", \(H\_0[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "q", " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\(-\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\)\ H\_0[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_1[r]\), "+", \(\((\(-m\) + r)\)\ H\_2[r]\), "-", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{"(", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "-", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ExponentialE]\^\(\[ImaginaryI]\ k\ t\ \)\ Q\^2\), "-", RowBox[{ "q", " ", \(r\^2\), " ", \(Cot[\[Theta]]\), " ", \(H\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{ "q", " ", \(r\^2\), " ", \(Cot[\[Theta]]\), " ", \(H\_2[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^4 + k\^2\ r\^6 + 2\ Q\^2\ r\ \((\(-2\)\ m + r)\))\)\ K[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "-", \(2\ Q\^4\ H\_2[r]\), "+", \(4\ m\ Q\^2\ r\ H\_2[r]\), "-", \(2\ Q\^2\ r\^2\ H\_2[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{ RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ExponentialE]\^\(\[ImaginaryI]\ k\ t\)\ \ Q\^2\), "-", RowBox[{"q", " ", \(r\^2\), " ", \(H\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{"q", " ", \(r\^2\), " ", \(H\_2[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{"q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^4 + k\^2\ r\^6 + 2\ Q\^2\ r\ \((\(-2\)\ m + r)\))\)\ K[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[ r]\), "-", \(2\ Q\^4\ H\_2[r]\), "+", \(4\ m\ Q\^2\ r\ H\_2[r]\), "-", \(2\ Q\^2\ r\^2\ H\_2[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ La perurbazione del tensore di Maxwell, ottenuta per differenza, \[EGrave] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(\[Delta]MT = Simplify[\((MTp - MT)\) /. q -> 1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_2[r]\), "+", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^6\)]}], ",", \(-\(\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\ Q\^2\ \ F[\[Theta]]\ H\_1[r]\)\/\(8\ \[Pi]\ r\^4\)\)\), ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(f\_1[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], \(4\ \[Pi]\ r\^4\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "-", \(Q\ H\_0[r]\), "+", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \(f\_0[r]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], \(4\ \[Pi]\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(Q\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", \(Q\ H\_2[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\)], ",", "0"}], "}"}], ",", RowBox[{"{", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "Q", " ", \(F[\[Theta]]\), " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{\(Q\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", \(Q\ H\_2[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(8\ \[Pi]\ r\^2\)], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ La perurbazione del tensore di Einstein, ottenuta per differenza, \[EGrave] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(\[Delta]MG = Simplify[\((MGp - MG)\) /. q -> 1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", RowBox[{\(1\/\(2\ r\^6\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^2\), " ", \(Csc[\[Theta]]\), " ", \((K[r] + H\_2[r])\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{"2", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(r\^2\ K[r]\), "+", \(Q\^2\ H\_0[r]\), "+", \(Q\^2\ H\_2[r]\), "-", \(r\^2\ H\_2[r]\), "+", RowBox[{"2", " ", \(Q\^2\), " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"5", " ", "m", " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", "m", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "m", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}]}], ",", RowBox[{\(1\/\(2\ r\^4\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", "\[ImaginaryI]", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-k\)\ r\^3\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-\[ImaginaryI]\)\ Q\^2\ H\_1[r]\), "+", RowBox[{"k", " ", \(r\^3\), " ", RowBox[{"(", RowBox[{\(H\_2[r]\), "-", RowBox[{"r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], "-", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \(H\_1[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^3\ K[r]\), "-", \(2\ \((Q\^2 - m\ r)\)\ H\_1[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\^3\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-r\)\ \((Q\^2 + r\ \((\(-2\)\ m + r + k\^2\ r\^3)\))\)\ K[ r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ H\_1[ r]\), "+", \(r\ H\_2[r]\), "+", RowBox[{"m", " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "m", " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \((K[r] - H\_0[r])\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\(-\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\)\ H\_0[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_1[r]\), "+", \(\((\(-m\) + r)\)\ H\_2[r]\), "-", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{"(", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "-", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Cot[\[Theta]]\), " ", \((H\_0[r] - H\_2[r])\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^4 + k\^2\ r\^6 + 2\ Q\^2\ r\ \((\(-2\)\ m + r)\))\)\ K[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "-", \(2\ Q\^4\ H\_2[r]\), "+", \(4\ m\ Q\^2\ r\ H\_2[r]\), "-", \(2\ Q\^2\ r\^2\ H\_2[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((H\_0[r] - H\_2[r])\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^4 + k\^2\ r\^6 + 2\ Q\^2\ r\ \((\(-2\)\ m + r)\))\)\ K[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[ r]\), "-", \(2\ Q\^4\ H\_2[r]\), "+", \(4\ m\ Q\^2\ r\ H\_2[r]\), "-", \(2\ Q\^2\ r\^2\ H\_2[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Il sistema di Einstein, quindi, si scrive : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(\[CapitalDelta] = Simplify[\[Delta]MG - 8 \[Pi]\ \[Delta]MT]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", RowBox[{\(1\/\(2\ r\^6\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^2\), " ", \(Csc[\[Theta]]\), " ", \((K[r] + H\_2[r])\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}], "+", RowBox[{"2", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(r\^2\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ Q\ r\^2\ f\_1[r]\), "+", \(Q\^2\ H\_0[r]\), "-", \(r\^2\ H\_2[r]\), "+", RowBox[{"2", " ", \(Q\^2\), " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"5", " ", "m", " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "Q", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", "m", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "m", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}]}], ",", RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{ "\[ImaginaryI]", " ", \(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{ "2", " ", "k", " ", "r", " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[ r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(-H\_2[r]\), "+", RowBox[{"r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], "+", RowBox[{ "\[ImaginaryI]", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \(H\_1[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^4\ K[r]\), "-", \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\(-2\)\ \((Q\^2 - m\ r)\)\ H\_1[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\^4\)], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\^2\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{ "2", " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-r\)\ \((Q\^2 + r\ \((\(-2\)\ m + r + k\^2\ r\^3)\))\)\ K[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ \ H\_1[r]\), "+", \(r\ H\_2[r]\), "+", RowBox[{"m", " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "m", " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \((K[r] - H\_0[r])\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", RowBox[{"-", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(4\ Q\ r\ f\_0[r]\), "+", \(\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ H\_0[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\(-\[ImaginaryI]\)\ k\ r\^2\ H\_1[r]\), "+", \(\((m - r)\)\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{"(", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "-", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Cot[\[Theta]]\), " ", \((H\_0[r] - H\_2[r])\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 - 2\ m\ r + r\^2)\)\ f\_1[r]\), "-", \(2\ Q\^4\ H\_0[r]\), "+", \(4\ m\ Q\^2\ r\ H\_0[r]\), "-", \(2\ Q\^2\ r\^2\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ m\ r\^4\ H\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^5\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(Q\^3\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "8", " ", "m", " ", "Q", " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "Q", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((H\_0[r] - H\_2[r])\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 - 2\ m\ r + r\^2)\)\ f\_1[r]\), "-", \(2\ Q\^4\ H\_0[r]\), "+", \(4\ m\ Q\^2\ r\ H\_0[r]\), "-", \(2\ Q\^2\ r\^2\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ m\ r\^4\ H\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^5\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(Q\^3\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "8", " ", "m", " ", "Q", " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "Q", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Le funzioni angolari vanno trattate in maniera opportuna; al posto dello \ sviluppo in armoniche tensoriali, si possono, pi\[UGrave] semplicemente, \ adottare le seguenti relazioni notevoli che riguardano i polinomi di Legendre \ : \ \>", "Text", FontSize->24], Cell[BoxData[{ FormBox[ RowBox[{"\t", RowBox[{\(\(d\ \(\(P\_L\)(cos\ \[Theta])\)\)\/\(d\ \[Theta]\)\), "=", RowBox[{"L", " ", "csc", " ", RowBox[{"\[Theta]", " ", "[", RowBox[{ RowBox[{"-", RowBox[{ SubscriptBox[ TagBox["P", LegendreP], \(L - 1\)], "(", \(cos\ \[Theta]\), ")"}]}], "+", RowBox[{"cos", " ", "\[Theta]", " ", RowBox[{ SubscriptBox[ TagBox["P", LegendreP], "L"], "(", \(cos\ \[Theta]\), ")"}]}]}], "]"}]}]}]}], TraditionalForm], "\n", FormBox[ RowBox[{"\t", RowBox[{\(\(d\^\(\(\ \)\(2\)\)\ \(\(P\_L\)( cos\ \[Theta])\)\)\/\(d\ \[Theta]\^\(\(\ \)\(2\)\)\)\), "=", RowBox[{ RowBox[{ "L", " ", "cot", " ", "\[Theta]", " ", "csc", " ", "\[Theta]", " ", RowBox[{ SubscriptBox[ TagBox["P", LegendreP], \(L - 1\)], "(", \(cos\ \[Theta]\), ")"}]}], "-", RowBox[{"L", " ", \((cot\^2\ \[Theta] + L + 1)\), " ", RowBox[{ SubscriptBox[ TagBox["P", LegendreP], "L"], "(", \(cos\ \[Theta]\), ")"}]}]}]}]}], TraditionalForm], "\[IndentingNewLine]", FormBox[, TraditionalForm]}], "Text", FontSize->24], Cell[BoxData[ RowBox[{\(F[\[Theta]] = LegendreP[L, Cos[\[Theta]]]\), ";", "\n", RowBox[{ RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], "=", \(L\ Csc[\[Theta]]\ \((\(-LegendreP[\(-1\) + L, Cos[\[Theta]]]\) + Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\)\)}], ";", "\n", RowBox[{ RowBox[{ SuperscriptBox["F", "\[DoublePrime]", MultilineFunction->None], "[", "\[Theta]", "]"}], "=", \(L\ Cot[\[Theta]]\ Csc[\[Theta]]\ LegendreP[\(-1\) + L, Cos[\[Theta]]] - L\ \((1 + L + Cot[\[Theta]]\^2)\)\ LegendreP[L, Cos[\[Theta]]]\)}], ";"}]], "Input", FontSize->24], Cell["\<\ Cosicch\[EAcute] si arriva all'espressione finale della perurbazione : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Pert = Simplify[\[CapitalDelta]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{"-", RowBox[{\(1\/\(2\ r\^6\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(\(-\((\(-2\) + L + L\^2)\)\)\ r\^2\ K[r]\), "-", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ f\_1[r]\), "+", \(2\ Q\^2\ H\_0[r]\), "-", \(2\ r\^2\ H\_2[r]\), "-", \(L\ r\^2\ H\_2[r]\), "-", \(L\^2\ r\^2\ H\_2[r]\), "+", RowBox[{"4", " ", \(Q\^2\), " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"10", " ", "m", " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"6", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "Q", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], ")"}]}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(L\ \((1 + L)\)\ H\_1[r]\), "+", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", "r", " ", RowBox[{"(", RowBox[{\(-H\_2[r]\), "+", RowBox[{"r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", RowBox[{\(1\/\(2\ r\^4\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "L", " ", \(Csc[\[Theta]]\), " ", \((\(-LegendreP[\(-1\) + L, Cos[\[Theta]]]\) + Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\), " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^4\ K[r]\), "-", \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\(-2\)\ \((Q\^2 - m\ r)\)\ H\_1[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^2\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\^2\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{ RowBox[{ "2", " ", "Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\^2\ f\_1[r]\), "+", \(Q\ H\_0[r]\), "-", RowBox[{"2", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\(-L\)\ \((1 + L)\)\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((K[r] - H\_0[r])\)\), "-", RowBox[{"2", " ", RowBox[{"(", RowBox[{\(\(-r\)\ \((Q\^2 + r\ \((\(-2\)\ m + r + k\^2\ r\^3)\))\)\ K[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(2\ \[ImaginaryI]\ k\ r\^2\ \ H\_1[r]\), "+", \(r\ H\_2[r]\), "+", RowBox[{"m", " ", "r", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "m", " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", RowBox[{\(1\/\(2\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "L", " ", \(Csc[\[Theta]]\), " ", \((LegendreP[\(-1\) + L, Cos[\[Theta]]] - Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\), " ", RowBox[{"(", RowBox[{\(4\ Q\ r\ f\_0[r]\), "+", \(\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ H\_0[ r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{\(\(-\[ImaginaryI]\)\ k\ r\^2\ H\_1[r]\), "+", \(\((m - r)\)\ H\_2[r]\), "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{"(", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "-", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{\(L\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ Cot[\[Theta]]\ Csc[\[Theta]]\ \ \((LegendreP[\(-1\) + L, Cos[\[Theta]]] - Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\)\ \((H\_0[r] - H\_2[r])\)\), "+", RowBox[{\(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 - 2\ m\ r + r\^2)\)\ f\_1[r]\), "-", \(2\ Q\^4\ H\_0[r]\), "+", \(4\ m\ Q\^2\ r\ H\_0[r]\), "-", \(2\ Q\^2\ r\^2\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ m\ r\^4\ H\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^5\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(Q\^3\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "8", " ", "m", " ", "Q", " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "Q", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}], ",", RowBox[{"{", RowBox[{\(1\/\(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(Sin[\[Theta]]\^2\), " ", RowBox[{"(", RowBox[{\(\(-r\^2\)\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((L\ Cot[\[Theta]]\ Csc[\[Theta]]\ \ LegendreP[\(-1\) + L, Cos[\[Theta]]] - L\ \((1 + L + Cot[\[Theta]]\^2)\)\ LegendreP[L, Cos[\[Theta]]])\)\ \((H\_0[r] - H\_2[r])\)\), "+", RowBox[{\(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 - 2\ m\ r + r\^2)\)\ f\_1[r]\), "-", \(2\ Q\^4\ H\_0[r]\), "+", \(4\ m\ Q\^2\ r\ H\_0[r]\), "-", \(2\ Q\^2\ r\^2\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ m\ r\^4\ H\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^5\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "-", RowBox[{ "2", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"6", " ", "m", " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(Q\^3\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "8", " ", "m", " ", "Q", " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "Q", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^4\), " ", "r", " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "5", " ", "m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "\[ImaginaryI]", " ", "k", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"m", " ", \(Q\^2\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(m\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"3", " ", "m", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^6\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(Q\^4\), " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "m", " ", \(Q\^2\), " ", \(r\^3\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", \(m\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", \(Q\^2\), " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"4", " ", "m", " ", \(r\^5\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^6\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Si adotta la sostituzione canonica \[Lambda] = (L-1) (L+2) / 2 : \ \>", "Text", FontSize->24], Cell[BoxData[ \(SubLambda := {\((\(-2\) + L + L\^2)\) \[Rule] 2 \[Lambda], \((2 + L + L\^2)\) \[Rule] 2 \((\[Lambda] + 2)\), L\ \((1 + L)\) \[Rule] 2 \((\[Lambda] + 1)\)}\)], "Input", FontSize->24], Cell["\<\ Operatore di ordinamento e semplificazione : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{\(Ord[x_]\), ":=", RowBox[{"Collect", "[", RowBox[{\(Expand[x]\), ",", RowBox[{"{", RowBox[{\(K[r]\), ",", \(H\_0[r]\), ",", \(H\_1[r]\), ",", \(H\_2[r]\), ",", \(f\_0[r]\), ",", \(f\_1[r]\), ",", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SuperscriptBox["K", "\[DoublePrime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["H", "0", "\[DoublePrime]", MultilineFunction->None], "[", "r", "]"}]}], "}"}], ",", "Simplify"}], "]"}]}]], "Input", FontSize->24], Cell["\<\ Termini radiali : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_tt = Ord[\(Pert[\([1, 1]\)]\)[\([6]\)]] /. SubLambda\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(\(-2\)\ r\^2\ \[Lambda]\ K[r]\), "-", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ f\_1[r]\), "+", \(2\ Q\^2\ H\_0[r]\), "-", \(2\ r\^2\ \((2 + \[Lambda])\)\ H\_2[r]\), "+", RowBox[{ "2", " ", "r", " ", \((2\ Q\^2 + r\ \((\(-5\)\ m + 3\ r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"4", " ", "Q", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "2", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_tr = Ord[\(Pert[\([1, 2]\)]\)[\([6]\)]] /. SubLambda\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(2\ \[ImaginaryI]\ k\ r\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[r]\), "+", \(2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((1 + \[Lambda])\)\ H\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_2[r]\), "+", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_t\[Theta] = Ord[\(Pert[\([1, 3]\)]\)[\([7]\)]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(\[ImaginaryI]\ k\ r\^4\ K[r]\), "-", \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(2\ r\ \((\(-Q\^2\) + m\ r)\)\ H\_1[r]\), "+", \(\[ImaginaryI]\ k\ r\^4\ H\_2[r]\), "+", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_rr = Ord[\(Pert[\([2, 1]\)]\)[\([6]\)]] /. SubLambda\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(r\^2\ \((\(-2\)\ Q\^2\ \[Lambda] - r\ \((\(-4\)\ m\ \[Lambda] + r\ \((\(-2\)\ k\^2\ r\^2 + 2\ \[Lambda])\))\))\)\ K[r]\), "-", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((2\ Q\^2 + 2\ r\^2\ \((1 + \[Lambda])\))\)\ H\_0[r]\), "-", \(4\ \[ImaginaryI]\ k\ r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_1[r]\), "-", \(2\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_2[r]\), "+", RowBox[{ "2", " ", \(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "4", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_r\[Theta] = Ord[\(Pert[\([2, 2]\)]\)[\([8]\)]] /. SubLambda\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(4\ Q\ r\ f\_0[r]\), "+", \(\((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ H\_0[r]\), "-", \(\[ImaginaryI]\ k\ r\^3\ H\_1[r]\), "+", \(\((m - r)\)\ r\ H\_2[r]\), "+", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_\[Theta]\[Theta] = Ord[\(Pert[\([3, 1]\)]\)[\([5, 2, 2]\)]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "-", \(2\ Q\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "+", RowBox[{ "2", " ", \(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \((2\ Q\^4 + Q\^2\ r\ \((\(-5\)\ m + r)\) + r\^2\ \((2\ m\^2 + m\ r - r\^2)\))\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(TE\_\[Phi]\[Phi] = Ord[\(Pert[\([4, 1]\)]\)[\([6, 2, 2]\)]]\)], "Input",\ FontSize->24], Cell[BoxData[ RowBox[{\(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "-", \(2\ Q\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_0[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "+", \(k\^2\ r\^6\ H\_2[r]\), "+", RowBox[{ "2", " ", \(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \((2\ Q\^4 + Q\^2\ r\ \((\(-5\)\ m + r)\) + r\^2\ \((2\ m\^2 + m\ r - r\^2)\))\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SubsuperscriptBox["H", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SubsuperscriptBox["H", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Notiamo subito che : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[TE\_\[Theta]\[Theta] - TE\_\[Phi]\[Phi]]\)], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nE' necessario ridurre il numero di parametri funzionali: ", Cell[BoxData[ \(TextForm\`H\_0\ \((r)\) = \(H\_2\) \((r)\) \[Congruent] H \((r)\)\)]], "\n" }], "Text", FontSize->24], Cell[BoxData[{ \(H\_0[r_] := H[r]\), "\n", \(H\_2[r_] := H[r]\)}], "Input", FontSize->24], Cell["\<\ Il sistema di Einstein \[EGrave] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Eq1 = Ord[TE\_tt/2] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\((Q\^2 - r\^2\ \((2 + \[Lambda])\))\)\ H[r]\), "-", \(r\^2\ \[Lambda]\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ Q\ r\^2\ f\_1[r]\), "-", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"r", " ", \((2\ Q\^2 + r\ \((\(-5\)\ m + 3\ r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "Q", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq2 = Ord[TE\_tr/2] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\(-\[ImaginaryI]\)\ k\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H[r]\), "+", \(\[ImaginaryI]\ k\ r\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[ r]\), "+", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((1 + \[Lambda])\)\ H\_1[r]\), "+", RowBox[{ "\[ImaginaryI]", " ", "k", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq3 = Ord[TE\_t\[Theta]] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ r\^4\ H[r]\), "+", \(\[ImaginaryI]\ k\ r\^4\ K[r]\), "-", \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(2\ r\ \((\(-Q\^2\) + m\ r)\)\ H\_1[r]\), "+", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq4 = Ord[TE\_rr/2] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((Q\^2 + r\^2\ \[Lambda])\)\ H[r]\), "+", \(r\^2\ \((k\^2\ r\^4 - \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \[Lambda])\)\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_1[r]\), "-", RowBox[{"r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq5 = Ord[TE\_r\[Theta]] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(2\ \((Q\^2 - m\ r)\)\ H[r]\), "+", \(4\ Q\ r\ f\_0[r]\), "-", \(\[ImaginaryI]\ k\ r\^3\ H\_1[r]\), "-", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq6 = Ord[TE\_\[Theta]\[Theta]] == 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\((\(-2\)\ Q\^4 + 2\ Q\^2\ \((2\ m - r)\)\ r + k\^2\ r\^6)\)\ H[r]\), "+", \(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "+", RowBox[{ "2", " ", "r", " ", \((Q\^2 - r\^2)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "2", " ", \(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Sistema di Maxwell \ \>", "Subsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(<< RNpp.m\)], "Input", FontSize->24], Cell[BoxData[ \("MetricgFlag has been turned off."\)], "Print", FontSize->24] }, Open ]], Cell["\<\ Reintroduciamo direttamente le componenti del tensore di Maxwell perturbato : \ \>", "Text", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{ "MaxwellF", "/:", " ", \(MaxwellF[\(-2\), \ \(-1\)]\), " ", "=", " ", RowBox[{\(Q\/r\^2\), "-", RowBox[{ "q", " ", \(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "+", \(\[ImaginaryI]\ k\ f\_1[r]\)}], ")"}]}]}]}], ";"}], "\n", RowBox[{ RowBox[{ "MaxwellF", "/:", " ", \(MaxwellF[\(-3\), \ \(-1\)]\), " ", "=", " ", RowBox[{\(-q\), " ", \(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], \(f\_0[ r]\)}]}], ";"}], "\n", \(MaxwellF /: \ MaxwellF[\(-4\), \ \(-1\)]\ = \ 0;\), "\n", RowBox[{ RowBox[{ "MaxwellF", "/:", " ", \(MaxwellF[\(-3\), \ \(-2\)]\), " ", "=", " ", RowBox[{\(-q\), " ", \(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], \(f\_1[ r]\)}]}], ";"}], "\n", \(MaxwellF /: \ MaxwellF[\(-4\), \ \(-2\)]\ = \ 0;\), "\n", \(MaxwellF /: \ MaxwellF[\(-4\), \ \(-3\)]\ = \ 0;\)}], "Input", FontSize->24], Cell[TextData[{ "\nLe equazioni di Maxwell omogenee ", Cell[BoxData[ \(TraditionalForm\`F\_\(\(\ \)\({\[Mu]\ \[Nu]\ , \ \ \[Rho]}\)\) = 0\)]], " sono implicitamente soddisfatte per il fatto di aver imposto un \ potenziale al tensore di Maxwell :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[Om, {{1, 2, 3}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"Om\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Om[ll_, lm_, ln_] = OD[MaxwellF[ll, lm], ln] + OD[MaxwellF[ln, ll], lm] + OD[MaxwellF[lm, ln], ll]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ InterpretationBox[ RowBox[{ TagBox[ FormBox[ InterpretationBox[ RowBox[{ TagBox[ FormBox["\<\"F\"\>", "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"l"\), Subscript[ "l"], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"m"\), Subscript[ "m"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF], Format[ ll], Format[ lm]], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", InterpretationBox[\(\[Null]\_","\), Subscript[ ","], Editable->False], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"n"\), Subscript[ "n"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF[ ll, lm]], Subscript[ ","], Format[ ln]], Editable->False], "-", InterpretationBox[ RowBox[{ TagBox[ FormBox[ InterpretationBox[ RowBox[{ TagBox[ FormBox["\<\"F\"\>", "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"l"\), Subscript[ "l"], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"n"\), Subscript[ "n"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF], Format[ ll], Format[ ln]], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", InterpretationBox[\(\[Null]\_","\), Subscript[ ","], Editable->False], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"m"\), Subscript[ "m"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF[ ll, ln]], Subscript[ ","], Format[ lm]], Editable->False], "+", InterpretationBox[ RowBox[{ TagBox[ FormBox[ InterpretationBox[ RowBox[{ TagBox[ FormBox["\<\"F\"\>", "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"m"\), Subscript[ "m"], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"n"\), Subscript[ "n"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF], Format[ lm], Format[ ln]], Editable->False], "StandardForm"], Format], "\[InvisibleSpace]", InterpretationBox[\(\[Null]\_","\), Subscript[ ","], Editable->False], "\[InvisibleSpace]", TagBox[ FormBox[ InterpretationBox[\(\[Null]\_"l"\), Subscript[ "l"], Editable->False], "StandardForm"], Format]}], SequenceForm[ Format[ MaxwellF[ lm, ln]], Subscript[ ","], Format[ ll]], Editable->False]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(MOm = Table[Normal[Series[MakeSum[Om[\(-i\), \(-j\), \(-k\)]], {q, 0, 1}]] /. q \[Rule] 1, {i, 4}, {j, 4}, {k, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}, {{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}, {{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}, {{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}}\)], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nLe equazioni di Maxwell non omogenee sono: ", Cell[BoxData[ \(TraditionalForm\`\(F\^\(\(\ \)\(i\ j\)\)\)\_\(\(\ \)\(\(,\)\(\ \ \)\(j\)\)\) = 0\)]], " .\nDefiniamo un tensore rappresentativo della corrente :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefineTensor[Corr, {{1, 2}, 1}]\)], "Input", FontSize->24], Cell[BoxData[ \(PermWeight::"def" \(\(:\)\(\ \)\) "Object \!\(\"Corr\"\) defined"\)], "Message", FontSize->24] }, Open ]], Cell[BoxData[ \(\(Corr[um_] = CDtoOD[CD[Metricg[ua, um] Metricg[ub, un] MaxwellF[la, lb], ln]];\)\)], "Input", FontSize->24], Cell[BoxData[{ \(H\_0[r_] := H[r]\), "\n", \(H\_2[r_] := H[r]\)}], "Input", FontSize->24], Cell["\<\ Versione vettoriale : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(MCorr = Table[Simplify[ Normal[Series[MakeSum[Corr[i]], {q, 0, 1}]] /. q \[Rule] 1], {i, 4}]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\^2\), " ", \(f\_0[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cot[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], ")"}]}], "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\ f\_1[r]\), "+", RowBox[{"Q", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "k", " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{"(", RowBox[{ RowBox[{"k", " ", \(r\^2\), " ", \(F[\[Theta]]\), " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ Q\ K[r]\), "+", RowBox[{\(r\^2\), " ", RowBox[{"(", RowBox[{\(k\ f\_1[r]\), "-", RowBox[{"\[ImaginaryI]", " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(Csc[\[Theta]]\), " ", \(f\_1[r]\), " ", RowBox[{"(", RowBox[{ RowBox[{\(Cos[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}], "+", RowBox[{\(Sin[\[Theta]]\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}]}]}], ")"}]}]}], ")"}]}], \(r\^4\)], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], " ", RowBox[{"(", RowBox[{\(\(-\[ImaginaryI]\)\ k\ r\^5\ f\_0[r]\), "-", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \((Q\^2 - m\ r)\)\ f\_1[r]\), "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], \(r\^5\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], ",", "0"}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ che, una volta introdotte le \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{\(F[\[Theta]] = LegendreP[L, Cos[\[Theta]]]\), ";", "\n", RowBox[{ RowBox[{ SuperscriptBox["F", "\[Prime]", MultilineFunction->None], "[", "\[Theta]", "]"}], "=", \(L\ Csc[\[Theta]]\ \((\(-LegendreP[\(-1\) + L, Cos[\[Theta]]]\) + Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\)\)}], ";", "\n", RowBox[{ RowBox[{ SuperscriptBox["F", "\[DoublePrime]", MultilineFunction->None], "[", "\[Theta]", "]"}], "=", \(L\ Cot[\[Theta]]\ Csc[\[Theta]]\ LegendreP[\(-1\) + L, Cos[\[Theta]]] - L\ \((1 + L + Cot[\[Theta]]\^2)\)\ LegendreP[L, Cos[\[Theta]]]\)}], ";"}]], "Input", FontSize->24], Cell["\<\ diventa : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Corr2 = Simplify[MCorr]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{\(1\/\(r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(L\ \((1 + L)\)\ r\^2\ f\_0[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \[ImaginaryI]\ k\ r\ f\_1[r]\), "+", RowBox[{"Q", " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(-2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{"\[ImaginaryI]", " ", "k", " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", FractionBox[ RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", \(LegendreP[L, Cos[\[Theta]]]\), " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ Q\ r\^2\ K[r]\), "-", \(\((\(-k\^2\)\ r\^4 + L\ \((Q\^2 - 2\ m\ r + r\^2)\) + L\^2\ \((Q\^2 - 2\ m\ r + r\^2)\))\)\ f\_1[r]\), "-", RowBox[{"\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(r\^4\)], ",", RowBox[{\(1\/\(r\^5\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\), RowBox[{"(", RowBox[{\(\[ExponentialE]\^\(\(-\[ImaginaryI]\)\ k\ t\)\), " ", "L", " ", \(Csc[\[Theta]]\), " ", \((LegendreP[\(-1\) + L, Cos[\[Theta]]] - Cos[\[Theta]]\ LegendreP[L, Cos[\[Theta]]])\), " ", RowBox[{"(", RowBox[{\(\[ImaginaryI]\ k\ r\^5\ f\_0[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\(-2\)\ \((Q\^2 - m\ r)\)\ f\_1[r]\), "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}], ")"}]}], ",", "0"}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Le consuete definizioni di servizio : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{\(Ord[x_]\), ":=", RowBox[{"Collect", "[", RowBox[{\(Expand[x]\), ",", RowBox[{"{", RowBox[{\(K[r]\), ",", \(f\_0[r]\), ",", \(f\_1[r]\), ",", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], ",", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "}"}], ",", "Simplify"}], "]"}]}]], "Input", FontSize->24], Cell[BoxData[ \(SubLambda := {\((\(-2\) + L + L\^2)\) \[Rule] 2 \[Lambda], \((2 + L + L\^2)\) \[Rule] 2 \((\[Lambda] + 2)\), L\ \((1 + L)\) \[Rule] 2 \((\[Lambda] + 1)\)}\)], "Input", FontSize->24], Cell["\<\ Le tre equazioni relative sono : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Eq7 = \((Ord[\(Corr2[\([1]\)]\)[\([5]\)]] /. SubLambda)\) \[Equal] 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(2\ r\^2\ \((1 + \[Lambda])\)\ f\_0[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", RowBox[{"Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "\[ImaginaryI]", " ", "k", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq8 = \((FullSimplify[\(Corr2[\([2]\)]\)[\([4]\)]] /. SubLambda)\) \[Equal] 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ Q\ r\^2\ K[r]\), "-", \(\((\(-k\^2\)\ r\^4 + 2\ Q\^2\ \((1 + \[Lambda])\) - 4\ m\ r\ \((1 + \[Lambda])\) + 2\ r\^2\ \((1 + \[Lambda])\))\)\ f\_1[r]\), "-", RowBox[{"\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq9 = Ord[\(Corr2[\([3]\)]\)[\([7]\)]] \[Equal] 0\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ r\^5\ f\_0[r]\), "-", \(2\ \((Q\^4 + m\ \((2\ m - r)\)\ r\^2 + Q\^2\ r\ \((\(-3\)\ m + r)\))\)\ f\_1[r]\), "+", RowBox[{"r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Impostazione del sistema Einstein+Maxwell \ \>", "Subsection", FontSize->24], Cell[BoxData[ \(Off[General::spell1, General::spell]\)], "Input", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{"Eq1", "=", RowBox[{ RowBox[{\(\((Q\^2 - r\^2\ \((2 + \[Lambda])\))\)\ H[r]\), "-", \(r\^2\ \[Lambda]\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ Q\ r\^2\ f\_1[r]\), "-", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \((2\ Q\^2 + r\ \((\(-5\)\ m + 3\ r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{"2", " ", "Q", " ", \(r\^2\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq2", "=", RowBox[{ RowBox[{\(\(-\[ImaginaryI]\)\ k\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H[r]\), "+", \(\[ImaginaryI]\ k\ r\ \((2\ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ K[r]\), "+", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((1 + \[Lambda])\)\ H\_1[r]\), "+", RowBox[{ "\[ImaginaryI]", " ", "k", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq3", "=", RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ r\^4\ H[r]\), "+", \(\[ImaginaryI]\ k\ r\^4\ K[r]\), "-", \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(2\ r\ \((\(-Q\^2\) + m\ r)\)\ H\_1[r]\), "+", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq4", "=", RowBox[{ RowBox[{\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((Q\^2 + r\^2\ \[Lambda])\)\ H[r]\), "+", \(r\^2\ \((k\^2\ r\^4 - \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \[Lambda])\)\ K[r]\), "-", \(2\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ H\_1[r]\), "-", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq5", "=", RowBox[{ RowBox[{\(2\ \((Q\^2 - m\ r)\)\ H[r]\), "+", \(4\ Q\ r\ f\_0[r]\), "-", \(\[ImaginaryI]\ k\ r\^3\ H\_1[r]\), "-", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{"r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq6", "=", RowBox[{ RowBox[{\(\((\(-2\)\ Q\^4 + 2\ Q\^2\ \((2\ m - r)\)\ r + k\^2\ r\^6)\)\ H[r]\), "+", \(k\^2\ r\^6\ K[r]\), "+", \(4\ \[ImaginaryI]\ k\ Q\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", \(2\ \[ImaginaryI]\ k\ \((m - r)\)\ r\^4\ H\_1[r]\), "+", RowBox[{ "2", " ", "r", " ", \((Q\^2 - r\^2)\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "2", " ", \(r\^2\), " ", \((2\ m\^2\ r + r\ \((Q\^2 + r\^2)\) - m\ \((Q\^2 + 3\ r\^2)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "4", " ", "Q", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["H", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(r\^2\), " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq7", "=", RowBox[{ RowBox[{\(2\ r\^2\ \((1 + \[Lambda])\)\ f\_0[r]\), "-", \(2\ \[ImaginaryI]\ k\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_1[r]\), "+", RowBox[{"Q", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "2", " ", "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{ "\[ImaginaryI]", " ", "k", " ", \(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(r\^2\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq8", "=", RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ Q\ r\^2\ K[r]\), "-", \(\((\(-k\^2\)\ r\^4 + 2\ Q\^2\ \((1 + \[Lambda])\) - 4\ m\ r\ \((1 + \[Lambda])\) + 2\ r\^2\ \((1 + \[Lambda])\))\)\ f\_1[r]\), "-", RowBox[{"\[ImaginaryI]", " ", "k", " ", \(r\^4\), " ", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq9", "=", RowBox[{ RowBox[{\(\[ImaginaryI]\ k\ r\^5\ f\_0[r]\), "-", \(2\ \((Q\^4 + m\ \((2\ m - r)\)\ r\^2 + Q\^2\ r\ \((\(-3\)\ m + r)\))\)\ f\_1[r]\), "+", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}]}], "Input", FontSize->24], Cell[BoxData[ \(Ord[x_] := Collect[Expand[x], {K[r], H[r], H\_1[r], f\_0[r], f\_1[r]}, Simplify]\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq11", "=", RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Equal]", RowBox[{"Ord", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{ RowBox[{"Eliminate", "[", RowBox[{\({Eq2, Eq5}\), ",", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], ",", RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], "[", \([1, 1, 2]\), "]"}], "]"}]}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(\((3\ Q\^2 - 4\ m\ r + r\^2)\)\ H[r]\)\/\(Q\^2\ r - 2\ m\ \ r\^2 + r\^3\) + \(\((\(-2\)\ Q\^2 + \((3\ m - r)\)\ r)\)\ K[r]\)\/\(r\ \ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\) + \(4\ Q\ f\_0[r]\)\/\(Q\^2 - 2\ m\ r + \ r\^2\) - \(\[ImaginaryI]\ \((\(-Q\^2\)\ \((1 + \[Lambda])\) + r\ \((r\ \ \((\(-1\) + k\^2\ r\^2 - \[Lambda])\) + 2\ m\ \((1 + \[Lambda])\))\))\)\ \ H\_1[r]\)\/\(k\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq12", "=", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Equal]", RowBox[{"Ord", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{"Eq2", ",", RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], "[", \([1, 1, 2]\), "]"}], "]"}]}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(H[r]\/r + \(\((\(-2\)\ Q\^2 + \((3\ m - r)\)\ r)\)\ K[r]\)\/\(r\ \ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\) + \(\[ImaginaryI]\ \((1 + \ \[Lambda])\)\ H\_1[r]\)\/\(k\ r\^2\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq13", "=", RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Equal]", RowBox[{"Ord", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{"Eq3", ",", RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], "[", \([1, 1, 2]\), "]"}], "]"}]}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(-\(\(\[ImaginaryI]\ k\ r\^2\ H[r]\)\/\(Q\^2 + r\ \((\(-2\)\ m + r)\)\)\)\) - \(\[ImaginaryI]\ k\ r\^2\ K[r]\)\/\(Q\^2 + \ r\ \((\(-2\)\ m + r)\)\) + \(4\ Q\ f\_1[r]\)\/r\^2 + \(2\ \((Q\^2 - m\ r)\)\ \ H\_1[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq14", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Equal]", RowBox[{"Ord", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{"Eq8", ",", RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], "[", \([1, 1, 2]\), "]"}], "]"}]}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(Q\ K[r]\)\/r\^2 - \(\[ImaginaryI]\ \((\(-2\)\ Q\^2\ \((1 + \ \[Lambda])\) + r\ \((r\ \((\(-2\) + k\^2\ r\^2 - 2\ \[Lambda])\) + 4\ m\ \((1 \ + \[Lambda])\))\))\)\ f\_1[r]\)\/\(k\ r\^4\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq15", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Equal]", RowBox[{"Ord", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{"Eq9", ",", RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "]"}], "[", \([1, 1, 2]\), "]"}], "]"}]}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(-\(\(\[ImaginaryI]\ k\ r\^4\ f\_0[ r]\)\/\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\)\) + \(2\ \ \((Q\^2 - m\ r)\)\ f\_1[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Dalla equazione di primo grado rimanente (Eq4) si pu\[OGrave] ricavare un \ integrale primo : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"PI", "=", RowBox[{ RowBox[{"Ord", "[", RowBox[{ RowBox[{"Factor", "[", RowBox[{"First", "[", RowBox[{"Eq4", "/.", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq11]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq12]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq14]\)}]}], "}"}]}], "]"}], "]"}], "[", \([3]\), "]"}], "]"}], "\[Equal]", "0"}]}]], "Input", FontSize->24], Cell[BoxData[ \(k\ r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\ H[r] + k\ r\^3\ \((3\ m\^2\ r - m\ \((Q\^2 + r\^2\ \((1 - 2\ \[Lambda])\))\) - r\ \((\(-k\^2\)\ r\^4 + r\^2\ \[Lambda] + Q\^2\ \((1 + \[Lambda])\))\))\)\ K[r] - 4\ k\ Q\ r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ f\_0[r] - 4\ \[ImaginaryI]\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((1 + \ \[Lambda])\)\ f\_1[ r] - \[ImaginaryI]\ r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((Q\^2\ \((1 + \[Lambda])\) - r\ \((m - k\^2\ r\^3 + m\ \[Lambda])\))\)\ H\_1[r] == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[TextData[StyleBox["Controllo formale: adimensionalizzando i coefficienti \ dei parametri perturbativi nell'equazione per PI e ponendo Q=0 si ritrova la \ condizione di Vishveshwara in metrica di Schwarzschild (cfr. C. V. \ Vishveshwara, Phys. Rev. D, 1 (1970) , p. 2870 - eq. 10) :\n", FontVariations->{"CompatibilityType"->0}]], "Subsubsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Ord[ First[PI]\/\(k\ \(r\^4\) \((Q\^2 - 2\ m\ r + r\^2)\)\) /. {Q \[Rule] 0, f\_0[r] \[Rule] 0, f\_1[r] \[Rule] 0}] \[Equal] 0\)], "Input",\ FontSize->24], Cell[BoxData[ \(\((\(3\ m\)\/r + \[Lambda])\)\ H[ r] + \(\((3\ m\^2 - m\ r + k\^2\ r\^4 + 2\ m\ r\ \[Lambda] - r\^2\ \ \[Lambda])\)\ K[r]\)\/\(\(-2\)\ m\ r + r\^2\) + \(\[ImaginaryI]\ \((m - \ k\^2\ r\^3 + m\ \[Lambda])\)\ H\_1[r]\)\/\(k\ r\^2\) == 0\)], "Output", FontSize->24] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Compatibilit\[AGrave] delle equazioni di secondo grado \ \>", "Subsubsection", FontSize->24], Cell["\<\ Eq1: \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Ord", "[", RowBox[{"First", "[", RowBox[{ RowBox[{"(", RowBox[{"Eq1", "/.", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(\[PartialD]\_r\ Last[Eq12]\)}]}], ")"}], "/.", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq11]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq12]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq13]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq14]\)}]}], "}"}]}], "]"}], "]"}], "\[Equal]", "0"}]], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Eq6 : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Ord", "[", RowBox[{"First", "[", RowBox[{ RowBox[{"(", RowBox[{"Eq6", "/.", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(\[PartialD]\_r\ Last[Eq11]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(\[PartialD]\_r\ Last[Eq12]\)}]}], "}"}]}], ")"}], "/.", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["H", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq11]\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq12]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq13]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq14]\)}]}], "}"}]}], "]"}], "]"}], "\[Equal]", "0"}]], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Eq7 : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Ord", "[", RowBox[{"First", "[", RowBox[{ RowBox[{"(", RowBox[{"Eq7", "/.", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(\[PartialD]\_r\ Last[Eq14]\)}]}], ")"}], "/.", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq12]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq14]\)}], ",", RowBox[{ RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(Last[Eq15]\)}]}], "}"}]}], "]"}], "]"}], "\[Equal]", "0"}]], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Posso quindi eliminare queste tre equazioni senza perdita d'informazione.\ \>", "Text", FontSize->24] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Riduzione finale \ \>", "Subsection", FontSize->24], Cell["\<\ Eliminazione di H (r) tramite PI : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq16", "=", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq12] /. \(Solve[PI, H[r]]\)[\([1, 1]\)]]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(\((4\ Q\^4 - Q\^2\ r\ \((11\ m + r\ \((\(-3\) + \[Lambda])\))\ \) + r\^2\ \((6\ m\^2 - k\^2\ r\^4 + m\ r\ \((\(-2\) + \[Lambda])\))\))\)\ \ K[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ \ m + r\ \[Lambda])\))\)\) + \(4\ Q\ f\_0[r]\)\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\)\) + \(4\ \[ImaginaryI]\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \ \((1 + \[Lambda])\)\ f\_1[r]\)\/\(k\ r\^3\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\) + \(\[ImaginaryI]\ \((\(-Q\^2\)\ \((1 + \[Lambda])\) + r\ \ \((2\ m\ \((1 + \[Lambda])\) + r\ \((k\^2\ r\^2 + \[Lambda] + \ \[Lambda]\^2)\))\))\)\ H\_1[r]\)\/\(k\ r\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq17", "=", RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq13] /. \(Solve[PI, H[r]]\)[\([1, 1]\)]]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["H", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(\[ImaginaryI]\ k\ r\^2\ \((2\ Q\^4 + Q\^2\ r\ \((\(-8\)\ m + \ r - 2\ r\ \[Lambda])\) + r\^2\ \((9\ m\^2 + k\^2\ r\^4 + 4\ m\ r\ \((\(-1\) + \ \[Lambda])\) - 2\ r\^2\ \[Lambda])\))\)\ K[r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m \ + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\) + \(4\ \ \[ImaginaryI]\ k\ Q\ r\^3\ f\_0[r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \ \((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\)\) + \(4\ Q\ \((\(-2\)\ Q\^2 + r\ \ \((3\ m + r + 2\ r\ \[Lambda])\))\)\ f\_1[r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \ \((3\ m + r\ \[Lambda])\))\)\) + \(\((\(-4\)\ Q\^4 + Q\^2\ r\ \((10\ m + r + \ 3\ r\ \[Lambda])\) + r\^2\ \((\(-6\)\ m\^2 + k\^2\ r\^4 - m\ \((r + 3\ r\ \ \[Lambda])\))\))\)\ H\_1[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq18", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq14] /. \(Solve[PI, H[r]]\)[\([1, 1]\)]]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(Q\ K[r]\)\/r\^2 - \(\[ImaginaryI]\ \((\(-2\)\ Q\^2\ \((1 + \ \[Lambda])\) + r\ \((r\ \((\(-2\) + k\^2\ r\^2 - 2\ \[Lambda])\) + 4\ m\ \((1 \ + \[Lambda])\))\))\)\ f\_1[r]\)\/\(k\ r\^4\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq19", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq15] /. \(Solve[PI, H[r]]\)[\([1, 1]\)]]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "1", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(-\(\(\[ImaginaryI]\ k\ r\^4\ f\_0[ r]\)\/\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\)\) + \(2\ \ \((Q\^2 - m\ r)\)\ f\_1[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nIdentificazioni ", Cell[BoxData[ \(H\_\(\(1\)\(\ \)\)\)]], "(r) = \[ImaginaryI] k R (r) , ", Cell[BoxData[ \(\(\(f\_1\)\(\ \)\)\)]], "(r) = \[ImaginaryI] k ", Cell[BoxData[ \(f\_2\)]], " (r) e riscrittura del sistema che evidenzi la dipendenza da k della \ perturbazione :\n" }], "Text", FontSize->24], Cell[BoxData[ \(Ord[x_] := Collect[Expand[x], {K[r], R[r], f\_0[r], f\_2[r]}, Collect[#, k\^2, Simplify] &]\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq20", "=", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq16] /. {H\_1[r] \[Rule] \[ImaginaryI]\ k\ R[r], f\_1[r] \[Rule] \[ImaginaryI]\ k\ f\_2[r]}]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\((\(-\(\(k\^2\ r\^5\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\) + \(4\ Q\^4 - Q\^2\ \ r\ \((11\ m + r\ \((\(-3\) + \[Lambda])\))\) + m\ r\^2\ \((6\ m + r\ \ \((\(-2\) + \[Lambda])\))\)\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\))\)\ K[ r] + \((\(-\(\(k\^2\ r\^2\)\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\)\)\)\) + \(\((1 + \[Lambda])\)\ \ \((Q\^2 - r\ \((2\ m + r\ \[Lambda])\))\)\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \ \((3\ m + r\ \[Lambda])\))\)\))\)\ R[ r] + \(4\ Q\ f\_0[r]\)\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\)\) - \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((1 + \ \[Lambda])\)\ f\_2[r]\)\/\(r\^3\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\ \))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq21", "=", RowBox[{ RowBox[{ SuperscriptBox["R", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[\((\(-\(\[ImaginaryI]\/k\)\) Last[Eq17])\) /. {H\_1[r] \[Rule] \[ImaginaryI]\ k\ R[r], f\_1[r] \[Rule] \[ImaginaryI]\ k\ f\_2[r]}]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["R", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\((\(k\^2\ r\^8\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\) + \(r\^2\ \((2\ Q\^4 + \ Q\^2\ r\ \((\(-8\)\ m + r - 2\ r\ \[Lambda])\) + r\^2\ \((9\ m\^2 + 4\ m\ r\ \ \((\(-1\) + \[Lambda])\) - 2\ r\^2\ \[Lambda])\))\)\)\/\(\((Q\^2 + r\ \((\(-2\ \)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\))\)\ K[ r] + \((\(k\^2\ r\^5\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\) - \(\((Q\^2 - m\ r)\)\ \ \((4\ Q\^2 - r\ \((6\ m + r + 3\ r\ \[Lambda])\))\)\)\/\(r\ \((Q\^2 + r\ \ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\))\)\ R[ r] + \(4\ Q\ r\^3\ f\_0[r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\ \)\ \((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\)\) + \(4\ Q\ \((\(-2\)\ Q\^2 \ + r\ \((3\ m + r + 2\ r\ \[Lambda])\))\)\ f\_2[r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 \ + r\ \((3\ m + r\ \[Lambda])\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq22", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[ Last[Eq18] /. {H\_1[r] \[Rule] \[ImaginaryI]\ k\ R[r], f\_1[r] \[Rule] \[ImaginaryI]\ k\ f\_2[r]}]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(Q\ K[r]\)\/r\^2 + \((k\^2 - \(2\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\ \((1 + \[Lambda])\)\)\/r\^4)\)\ f\_2[r]\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"Eq23", "=", RowBox[{ RowBox[{ SubsuperscriptBox["f", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(Ord[\((\(-\(\[ImaginaryI]\/k\)\) Last[Eq19])\) /. {H\_1[r] \[Rule] \[ImaginaryI]\ k\ R[r], f\_1[r] \[Rule] \[ImaginaryI]\ k\ f\_2[r]}]\)}]}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SubsuperscriptBox["f", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(-\(\(r\^4\ f\_0[ r]\)\/\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\)\) + \(2\ \ \((Q\^2 - m\ r)\)\ f\_2[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + \ r)\))\)\)\)}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Forma della parte-Maxwell, con la simbologia standard ", Cell[BoxData[ \(TraditionalForm\`\((1 - \(2 m\)\/r + Q\^2\/r\^2)\) \[Rule] \[ExponentialE]\^\(\(\ \ \)\(\[Nu](r)\)\)\)]], "\n\n" }], "Subsubsection", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{ RowBox[{ SubsuperscriptBox["f", "0", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\((k\^2 - \(2 \((1 + \[Lambda])\) \[ExponentialE]\^\[Nu][r]\)\ \/r\^2)\)\ f\_2[r] + \(Q\/r\^2\) K[r]\)}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{ RowBox[{ SubsuperscriptBox["f", "2", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\(-\[ExponentialE]\^\(\(-2\) \[Nu][r]\)\) f\_0[r] + \(\(2\ \((Q\^2 - m\ r)\) \[ExponentialE]\^\(-\[Nu][r]\)\)\/r\^3\) f\_2[r]\)}], ";"}]}], "Input", FontSize->24] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Riscrittura del sistema di Einstein in forma di equazione unica di secondo \ grado di tipo Schr\[ODoubleDot]dinger con un termine di sorgente \ \>", "Subsection", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{"Eq1", "=", RowBox[{ RowBox[{ SuperscriptBox["K", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\((Ka1[r] + Kb1[r] k\^2)\) K[r] + \((Ra1[r] + Rb1[r] k\^2)\) R[r] + T1[r]\)}]}], ";"}], "\n", RowBox[{ RowBox[{"Eq2", "=", RowBox[{ RowBox[{ SuperscriptBox["R", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "==", \(\((Ka2[r] + Kb2[r] k\^2)\) K[r] + \((Ra2[r] + Rb2[r] k\^2)\) R[r] + T2[r]\)}]}], ";"}]}], "Input", FontSize->24], Cell[TextData[{ "\nSi passa ad una formulazione Schr", StyleBox["\[ODoubleDot]", FontFamily->"Times New Roman"], "dinger-like con un doppio cambiamento di variabile dipendente nella solita \ tortoise-coordinate r", Cell[BoxData[ \(\(\(\^*\)\(\ \)\)\)]], "(r) :\n" }], "Text", FontSize->24], Cell[BoxData[{ \(K[r_] := f[r] R\&^[\(r\^*\)[r]] + g[r] L\&^[\(r\^*\)[r]]\), "\[IndentingNewLine]", \(R[r_] := p[r] R\&^[\(r\^*\)[r]] + q[r] L\&^[\(r\^*\)[r]]\)}], "Input", FontSize->24], Cell[TextData[{ "\nIl nuovo sistema si scrive (con la posizione r", Cell[BoxData[ \(\(\^*\)\)]], "' (r) = b (r) ed applicando un operatore di ordinamento che evidenzi la \ dipendenza da ", Cell[BoxData[ \(\(\(\ \)\(k\^2\)\)\)]], ") :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[{\(Ord[x_] := Collect[Expand[x], {R\&^[\(r\^*\)[r]], L\&^[\(r\^*\)[r]]}, Collect[#, k\^2, Simplify] &];\), "\[IndentingNewLine]", RowBox[{ RowBox[{"s", "=", RowBox[{"FullSimplify", "[", RowBox[{ RowBox[{"Solve", "[", RowBox[{\({Eq1, Eq2}\), ",", RowBox[{"{", RowBox[{ RowBox[{ SuperscriptBox[\(R\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}], ",", RowBox[{ SuperscriptBox[\(L\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}]}], "}"}]}], "]"}], "/.", RowBox[{ RowBox[{ SuperscriptBox[\((\(r\^*\))\), "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "\[Rule]", \(b[r]\)}]}], "]"}]}], ";", RowBox[{ RowBox[{ SuperscriptBox[\(R\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}], "\[Equal]", \(Ord[Last[s[\([1, 1]\)]]]\)}]}], "\[IndentingNewLine]", RowBox[{ RowBox[{ SuperscriptBox[\(L\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}], "\[Equal]", \(Ord[Last[s[\([1, 2]\)]]]\)}]}], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox[\(R\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}], "==", RowBox[{\(\(q[r]\ T1[r] - g[r]\ T2[r]\)\/\(\(-b[r]\)\ g[r]\ p[r] + b[r]\ f[r]\ q[r]\)\), "+", RowBox[{\(R\&^[\(r\^*\)[r]]\), " ", RowBox[{"(", RowBox[{\(\(k\^2\ \((f[r]\ g[r]\ Kb2[r] - f[r]\ Kb1[r]\ q[r] - p[r]\ q[r]\ Rb1[r] + g[r]\ p[r]\ Rb2[r])\)\)\/\(b[ r]\ g[r]\ p[r] - b[r]\ f[r]\ q[r]\)\), "+", FractionBox[ RowBox[{\(f[r]\ g[r]\ Ka2[r]\), "-", \(f[r]\ Ka1[r]\ q[r]\), "-", \(p[r]\ q[r]\ Ra1[r]\), "+", \(g[r]\ p[r]\ Ra2[r]\), "+", RowBox[{\(q[r]\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(g[r]\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], \(b[ r]\ g[r]\ p[r] - b[r]\ f[r]\ q[r]\)]}], ")"}]}], "+", RowBox[{\(L\&^[\(r\^*\)[r]]\), " ", RowBox[{"(", RowBox[{\(\(k\^2\ \((g[r]\^2\ Kb2[r] - q[r]\^2\ Rb1[r] + g[r]\ q[r]\ \((\(-Kb1[r]\) + Rb2[r])\))\)\)\/\(b[ r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)\), "+", FractionBox[ RowBox[{\(g[r]\^2\ Ka2[r]\), "+", RowBox[{\(q[r]\), " ", RowBox[{"(", RowBox[{\(\(-q[r]\)\ Ra1[r]\), "+", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "-", RowBox[{\(g[r]\), " ", RowBox[{"(", RowBox[{\(Ka1[r]\ q[r]\), "-", \(q[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)]}], ")"}]}]}]}]], "Output", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox[\(L\&^\), "\[Prime]", MultilineFunction->None], "[", \(\(r\^*\)[r]\), "]"}], "==", RowBox[{\(\(p[r]\ T1[r] - f[r]\ T2[r]\)\/\(b[r]\ g[r]\ p[r] - b[r]\ f[r]\ q[r]\)\), "+", RowBox[{\(R\&^[\(r\^*\)[r]]\), " ", RowBox[{"(", RowBox[{\(\(k\^2\ \((\(-f[r]\^2\)\ Kb2[r] + p[r]\^2\ Rb1[r] + f[r]\ p[r]\ \((Kb1[r] - Rb2[r])\))\)\)\/\(b[ r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)\), "+", FractionBox[ RowBox[{\(\(-f[r]\^2\)\ Ka2[r]\), "+", RowBox[{\(p[r]\), " ", RowBox[{"(", RowBox[{\(p[r]\ Ra1[r]\), "-", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "+", RowBox[{\(f[r]\), " ", RowBox[{"(", RowBox[{\(Ka1[r]\ p[r]\), "-", \(p[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)]}], ")"}]}], "+", RowBox[{\(L\&^[\(r\^*\)[r]]\), " ", RowBox[{"(", RowBox[{\(\(k\^2\ \((p[r]\ \((g[r]\ Kb1[r] + q[r]\ Rb1[r])\) - f[r]\ \((g[r]\ Kb2[r] + q[r]\ Rb2[r])\))\)\)\/\(b[ r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)\), "+", FractionBox[ RowBox[{ RowBox[{\(p[r]\), " ", RowBox[{"(", RowBox[{\(g[r]\ Ka1[r]\), "+", \(q[r]\ Ra1[r]\), "-", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "+", RowBox[{\(f[r]\), " ", RowBox[{"(", RowBox[{\(\(-g[r]\)\ Ka2[r]\), "-", \(q[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)]}], ")"}]}]}]}]], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nLe funzioni f (r) , g (r) , p (r) , q (r) , b (r) verranno determinate \ in modo che il sistema diventi del tipo :\n\n", Cell[BoxData[{ FormBox[ RowBox[{"\t", RowBox[{ StyleBox[\(R\&^' \((\(r\^*\))\)\), FontSize->36], StyleBox["=", FontSize->36], RowBox[{ StyleBox[\(L\&^\ \((\(r\^*\))\)\), FontSize->36], StyleBox["+", FontSize->36], RowBox[{ StyleBox[\(S\_1\), FontSize->36], StyleBox[" ", FontSize->36], RowBox[{"(", StyleBox["r", FontSize->36], StyleBox[")", FontSize->36]}]}]}]}]}], TraditionalForm], "\n", FormBox[ RowBox[{"\t", RowBox[{ StyleBox[\(L\&^' \((\(r\^*\))\)\), FontSize->36], StyleBox["=", FontSize->36], RowBox[{ StyleBox[\(R\&^''\ \((\(r\^*\))\)\), FontSize->36], StyleBox["=", FontSize->36], RowBox[{ StyleBox[\(\(-\([k\^2 - V(r)]\)\) R\&^\ \((r)\)\), FontSize->36], StyleBox["+", FontSize->36], RowBox[{ StyleBox[\(S\_2\), FontSize->36], StyleBox[" ", FontSize->36], RowBox[{"(", StyleBox["r", FontSize->36], StyleBox[")", FontSize->36]}]}]}]}]}]}], TraditionalForm]}], "Text", FontSize->24], "\n\n", "Attraverso l'identificazione dei coefficienti, si ricavano 10 condizioni, \ che formano un nuovo sistema di 7 equazioni pi\[UGrave] tre definizioni del \ potenziale V (r) di Zerilli e dei termini di sorgente :\n" }], "Text", FontSize->24], Cell[BoxData[ \(Off[General::spell1, General::spell]\)], "Input", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{"Eq1", "=", RowBox[{ RowBox[{\(f[r]\ g[r]\ Ka2[r]\), "-", \(f[r]\ Ka1[r]\ q[r]\), "-", \(p[r]\ q[r]\ Ra1[r]\), "+", \(g[r]\ p[r]\ Ra2[r]\), "+", RowBox[{\(q[r]\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(g[r]\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", \(Eq2 = f[r]\ g[r]\ Kb2[r] - f[r]\ Kb1[r]\ q[r] - p[r]\ q[r]\ Rb1[r] + g[r]\ p[r]\ Rb2[r] \[Equal] 0;\), "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq3", "=", RowBox[{ RowBox[{\(g[r]\^2\ Ka2[r]\), "+", RowBox[{\(q[r]\), " ", RowBox[{"(", RowBox[{\(\(-q[r]\)\ Ra1[r]\), "+", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "-", RowBox[{\(g[r]\), " ", RowBox[{"(", RowBox[{\(Ka1[r]\ q[r]\), "-", \(q[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], "\[Equal]", \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)}]}], ";"}], "\[IndentingNewLine]", \(Eq4 = g[r]\^2\ Kb2[r] - q[r]\^2\ Rb1[r] + g[r]\ q[r]\ \((\(-Kb1[r]\) + Rb2[r])\) \[Equal] 0;\), "\[IndentingNewLine]", \(Eq5 = f[r]\^2\ Kb2[r] - p[r]\^2\ Rb1[r] - f[r]\ p[r]\ \((Kb1[r] - Rb2[r])\) \[Equal] b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\);\), "\[IndentingNewLine]", RowBox[{ RowBox[{"Eq6", "=", RowBox[{ RowBox[{ RowBox[{\(p[r]\), " ", RowBox[{"(", RowBox[{\(g[r]\ Ka1[r]\), "+", \(q[r]\ Ra1[r]\), "-", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "+", RowBox[{\(f[r]\), " ", RowBox[{"(", RowBox[{\(\(-g[r]\)\ Ka2[r]\), "-", \(q[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], "\[Equal]", "0"}]}], ";"}], "\[IndentingNewLine]", \(Eq7 = p[r]\ \((g[r]\ Kb1[r] + q[r]\ Rb1[r])\) - f[r]\ \((g[r]\ Kb2[r] + q[r]\ Rb2[r])\) \[Equal] 0;\), "\[IndentingNewLine]", RowBox[{ RowBox[{"DefV", "=", RowBox[{ FractionBox[ RowBox[{\(\(-f[r]\^2\)\ Ka2[r]\), "+", RowBox[{\(p[r]\), " ", RowBox[{"(", RowBox[{\(p[r]\ Ra1[r]\), "-", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "+", RowBox[{\(f[r]\), " ", RowBox[{"(", RowBox[{\(Ka1[r]\ p[r]\), "-", \(p[r]\ Ra2[r]\), "+", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\)], "\[Equal]", \(V[r]\)}]}], ";"}], "\[IndentingNewLine]", \(DefS1 = \(g[r]\ T2[r] - q[r]\ T1[r]\)\/\ \(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\) \[Equal] S\_1[r];\), "\[IndentingNewLine]", \(DefS2 = \(p[r]\ T1[r] - f[r]\ \ T2[r]\)\/\(b[r]\ \((g[r]\ p[r] - f[r]\ q[r])\)\) \[Equal] S\_2[r];\)}], "Input", FontSize->24], Cell["\<\ Con : \ \>", "Text", FontSize->24], Cell[BoxData[{ \(\(Ka1[ r_] := \(4\ Q\^4 - Q\^2\ r\ \((11\ m + r\ \((\(-3\) + \[Lambda])\))\ \) + m\ r\^2\ \((6\ m + r\ \((\(-2\) + \[Lambda])\))\)\)\/\(r\ \((Q\^2 + r\ \ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\);\)\), "\n", \(\(Kb1[ r_] := \(-\(r\^5\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\);\)\), "\n", \(\(Ra1[ r_] := \(\((1 + \[Lambda])\)\ \((Q\^2 - r\ \((2\ m + r\ \ \[Lambda])\))\)\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\);\)\), "\n", \(\(Rb1[ r_] := \(-\(r\^2\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\)\)\)\);\)\), "\[IndentingNewLine]", \(\(T1[ r_] := \(4\ Q\ f\_0[r]\)\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\)\) - \(4\ Q\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((1 + \ \[Lambda])\)\ f\_2[r]\)\/\(r\^3\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\ \))\)\);\)\), "\n", \(\(Ka2[ r_] := \(r\^2\ \((2\ Q\^4 + Q\^2\ r\ \((\(-8\)\ m + r - 2\ r\ \ \[Lambda])\) + r\^2\ \((9\ m\^2 + 4\ m\ r\ \((\(-1\) + \[Lambda])\) - 2\ r\^2\ \ \[Lambda])\))\)\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ \ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\);\)\), "\n", \(\(Kb2[r_] := r\^8\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \ \((3\ m + r\ \[Lambda])\))\)\);\)\), "\n", \(\(Ra2[ r_] := \(-\(\(\((Q\^2 - m\ r)\)\ \((4\ Q\^2 - r\ \((6\ m + r + 3\ r\ \[Lambda])\))\)\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\);\)\), "\n", \(\(Rb2[r_] := r\^5\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \ \((3\ m + r\ \[Lambda])\))\)\);\)\), "\[IndentingNewLine]", \(\(T2[ r_] := \(4\ Q\ r\^3\ f\_0[r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\ \)\ \((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\)\) + \(4\ Q\ \((\(-2\)\ Q\^2 \ + r\ \((3\ m + r + 2\ r\ \[Lambda])\))\)\ f\_2[r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 \ + r\ \((3\ m + r\ \[Lambda])\))\)\);\)\)}], "Input", FontSize->24], Cell["\<\ Le equazioni in metrica R-N sono : \ \>", "Text", FontSize->24], Cell[BoxData[ \(Ord[x_] := Simplify[First[x] - Last[x]] \[Equal] 0\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(E2q1 = Ord[Eq1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\(r\^2\ \((2\ Q\^4 + Q\^2\ r\ \((\(-8\)\ m + r - 2\ r\ \[Lambda])\) + r\^2\ \((9\ m\^2 + 4\ m\ r\ \((\(-1\) + \[Lambda])\) - 2\ r\^2\ \[Lambda])\))\)\ f[r]\ g[ r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ \ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "-", \(\(\((Q\^2 - m\ r)\)\ \((4\ Q\^2 - r\ \((6\ m + r + 3\ r\ \[Lambda])\))\)\ g[r]\ p[ r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "-", \(\(\((4\ Q\^4 - Q\^2\ r\ \((11\ m + r\ \((\(-3\) + \[Lambda])\))\) + m\ r\^2\ \((6\ m + r\ \((\(-2\) + \[Lambda])\))\))\)\ f[ r]\ q[r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", \(\(\((1 + \[Lambda])\)\ \((\(-Q\^2\) + r\ \((2\ m + r\ \[Lambda])\))\)\ p[r]\ q[ r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", RowBox[{\(q[r]\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "-", RowBox[{\(g[r]\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q2 = Ord[Eq2]\)], "Input", FontSize->24], Cell[BoxData[ \(\(r\^2\ \((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[r])\)\ \ \((r\^3\ g[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ q[r])\)\)\/\(\((Q\^2 + r\ \ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\) == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q3 = Ord[Eq3]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\(r\^2\ \((2\ Q\^4 + Q\^2\ r\ \((\(-8\)\ m + r - 2\ r\ \[Lambda])\) + r\^2\ \((9\ m\^2 + 4\ m\ r\ \((\(-1\) + \[Lambda])\) - 2\ r\^2\ \[Lambda])\))\)\ g[r]\^2\)\/\(\((Q\^2 + r\ \ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", \(b[r]\ \((\(-g[r]\)\ p[r] + f[r]\ q[r])\)\), "+", RowBox[{\(q[r]\), " ", RowBox[{"(", RowBox[{\(\(\((1 + \[Lambda])\)\ \((\(-Q\^2\) + r\ \((2\ m + r\ \[Lambda])\))\)\ q[ r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "-", FractionBox[ RowBox[{\(g[r]\), " ", RowBox[{"(", RowBox[{\(\((8\ Q\^4 + Q\^2\ r\ \((\(-21\)\ m + 2\ r - 4\ r\ \[Lambda])\) + m\ r\^2\ \((12\ m - r + 4\ r\ \[Lambda])\))\)\ q[r]\), "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], \(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q4 = Ord[Eq4]\)], "Input", FontSize->24], Cell[BoxData[ \(\(r\^2\ \((r\^3\ g[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ q[r])\)\^2\ \)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + \ r\ \[Lambda])\))\)\) == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q5 = Ord[Eq5]\)], "Input", FontSize->24], Cell[BoxData[ \(\(r\^8\ f[r]\^2\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ \ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\) + p[r]\ \((\(-b[r]\)\ g[ r] + \(r\^2\ p[r]\)\/\(\(-2\)\ Q\^2 + 3\ m\ r + r\^2\ \ \[Lambda]\))\) + f[r]\ \((\(2\ r\^5\ p[r]\)\/\(\((Q\^2 - 2\ m\ r + r\^2)\)\ \((\(-2\)\ \ Q\^2 + 3\ m\ r + r\^2\ \[Lambda])\)\) + b[r]\ q[r])\) == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q6 = Ord[Eq6]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{\(p[r]\), " ", RowBox[{"(", RowBox[{\(\(\((4\ Q\^4 - Q\^2\ r\ \((11\ m + r\ \((\(-3\) + \[Lambda])\))\) + m\ r\^2\ \((6\ m + r\ \((\(-2\) + \[Lambda])\))\))\)\ g[ r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", \(\(\((1 + \[Lambda])\)\ \((Q\^2 - r\ \((2\ m + r\ \[Lambda])\))\)\ q[ r]\)\/\(r\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "-", RowBox[{ SuperscriptBox["g", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}], "+", RowBox[{\(f[r]\), " ", RowBox[{"(", RowBox[{\(-\(\(r\^2\ \((2\ Q\^4 + Q\^2\ r\ \((\(-8\)\ m + r - 2\ r\ \[Lambda])\) + r\^2\ \((9\ m\^2 + 4\ m\ r\ \((\(-1\) + \[Lambda])\) - 2\ r\^2\ \[Lambda])\))\)\ g[ r]\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\), "+", \(\(\((Q\^2 - m\ r)\)\ \((4\ Q\^2 - r\ \((6\ m + r + 3\ r\ \[Lambda])\))\)\ q[ r]\)\/\(r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\), "+", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], ")"}]}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E2q7 = Ord[Eq7]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(r\^2\ \((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\)\ \((r\^3\ g[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ q[ r])\)\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\) == 0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ E2q2, E2q4, E2q7 sono soddisfatte ponendo : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(g[r_] = \(Solve[ r\^3\ g[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ q[r] \[Equal] 0, g[r]]\)[\([1, 1, 2]\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(\((Q\^2 - 2\ m\ r + r\^2)\)\ q[r]\)\/r\^3\)\)\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q1 = Ord[E2q1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ FractionBox[ RowBox[{\(q[r]\), " ", RowBox[{"(", RowBox[{\(r\^3\ \((3\ Q\^2 + r\ \((\(-5\)\ m + 2\ r)\))\)\ f[r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\((\(-2\)\ Q\^2 + r\ \((2\ m + r + r\ \[Lambda])\))\)\ p[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], \(r\^4\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\)], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q2 = Ord[E2q2]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q3 = Ord[E2q3]\)], "Input", FontSize->24], Cell[BoxData[ \(\(q[r]\ \((r\ b[r]\ \((r\^3\ f[r] + \((Q\^2 - 2\ m\ r + r\^2)\)\ \ p[r])\) + \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\ q[r])\)\)\/r\^4 == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q4 = Ord[E2q4]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q5 = Ord[E2q5]\)], "Input", FontSize->24], Cell[BoxData[ \(\(r\^8\ f[r]\^2\)\/\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ \ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\) + f[r]\ \((\(2\ r\^5\ p[r]\)\/\(\((Q\^2 - 2\ m\ r + r\^2)\)\ \((\(-2\)\ \ Q\^2 + 3\ m\ r + r\^2\ \[Lambda])\)\) + b[r]\ q[r])\) + \(p[r]\ \((\(r\^5\ p[r]\)\/\(\(-2\)\ Q\^2 + 3\ \ m\ r + r\^2\ \[Lambda]\) + \((Q\^2 - 2\ m\ r + r\^2)\)\ b[r]\ q[r])\)\)\/r\^3 \ == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q6 = Ord[E2q6]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(p[r]\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^4 - Q\^2\ r\ \((6\ m + r\ \[Lambda])\) + r\^2\ \((6\ m\^2 + m\ r\ \((\(-3\) + \[Lambda])\) - r\^2\ \[Lambda]\ \((2 + \[Lambda])\))\))\)\ q[ r]\), "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], "+", RowBox[{\(r\^3\), " ", \(f[r]\), " ", RowBox[{"(", RowBox[{\(\((6\ Q\^4 - Q\^2\ r\ \((18\ m + 5\ r\ \[Lambda])\) + r\^2\ \((15\ m\^2 - 2\ r\^2\ \[Lambda] + m\ r\ \((\(-3\) + 7\ \[Lambda])\))\))\)\ q[r]\), "+", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["q", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}], "/", \((r\^4\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\))\)}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E3q7 = Ord[E2q7]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Da E3q3 : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(q[r_] = Simplify[\(Solve[ r\ b[r]\ \((r\^3\ f[r] + \((Q\^2 - 2\ m\ r + r\^2)\)\ p[ r])\) + \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\ q[r] \[Equal] 0, q[r]]\)[\([1, 1, 2]\)]]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(r\ b[ r]\ \((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\)\)\/\(\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\)\)\)\)\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E4q1 = Ord[E3q1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{\(b[r]\), " ", \((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), " ", RowBox[{"(", RowBox[{\(r\^3\ \((3\ Q\^2 + r\ \((\(-5\)\ m + 2\ r)\))\)\ f[ r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\((\(-2\)\ Q\^2 + r\ \((2\ m + r + r\ \[Lambda])\))\)\ p[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}], "/", \((r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\))\)}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E4q3 = Ord[E3q3]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E4q5 = Ord[E3q5]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(\((\(-r\^4\) + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \ b[r]\^2)\)\ \((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[r])\)\^2\)\ \/\(r\^2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\)\)\) == 0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E4q6 = Ord[E3q6]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", \(f[r]\), " ", RowBox[{"(", RowBox[{\(\((\(-6\)\ Q\^4 + Q\^2\ r\ \((18\ m + 5\ r\ \[Lambda])\) + r\^2\ \((\(-15\)\ m\^2 + m\ r\ \((3 - 7\ \[Lambda])\) + 2\ r\^2\ \[Lambda])\))\)\ b[ r]\ \((r\^3\ f[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\)\), "-", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\), " ", \((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\), " ", \((r\^3\ f[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), " ", RowBox[{ SuperscriptBox["b", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(b[r]\), " ", RowBox[{"(", RowBox[{\(r\^3\ \((\(-8\)\ Q\^2 + r\ \((9\ m + 2\ r\ \[Lambda])\))\)\ f[ r]\), "+", \(\((\(-2\)\ Q\^4 + r\^2\ \((\(-6\)\ m\^2 + 6\ m\ r + r\^2\ \[Lambda])\) - Q\^2\ r\ \((\(-8\)\ m + r\ \((6 + \[Lambda])\))\))\)\ p[r]\), "+", RowBox[{ "r", " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \(p[r]\), " ", RowBox[{"(", RowBox[{\(\((\(-2\)\ Q\^4 + Q\^2\ r\ \((6\ m + r\ \[Lambda])\) + r\^2\ \((\(-6\)\ m\^2 - m\ r\ \((\(-3\) + \[Lambda])\) + r\^2\ \[Lambda]\ \((2 + \[Lambda])\))\))\)\ b[ r]\ \((r\^3\ f[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\)\), "-", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(-r\), " ", \((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\), " ", \((r\^3\ f[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), " ", RowBox[{ SuperscriptBox["b", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\(b[r]\), " ", RowBox[{"(", RowBox[{\(r\^3\ \((\(-8\)\ Q\^2 + r\ \((9\ m + 2\ r\ \[Lambda])\))\)\ f[ r]\), "+", \(\((\(-2\)\ Q\^4 + r\^2\ \((\(-6\)\ m\^2 + 6\ m\ r + r\^2\ \[Lambda])\) - Q\^2\ r\ \((\(-8\)\ m + r\ \((6 + \[Lambda])\))\))\)\ p[r]\), "+", RowBox[{ "r", " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}]}], ")"}], "/", \((r\^3\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\^2)\)}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Da E4q5 : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(b[r_] = 1\/\(1 - \(2\ m\)\/r + Q\^2\/r\^2\);\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(E5q1 = Ord[E4q1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{\((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), " ", RowBox[{"(", RowBox[{\(r\^3\ \((3\ Q\^2 + r\ \((\(-5\)\ m + 2\ r)\))\)\ f[ r]\), "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\((\(-2\)\ Q\^2 + r\ \((2\ m + r + r\ \[Lambda])\))\)\ p[r]\), "+", RowBox[{"r", " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 - 2\ m\ r + r\^2)\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}], "/", \((r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\ \)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\))\)}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E5q5 = Ord[E4q5]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(E5q6 = Ord[E4q6]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{\((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), " ", RowBox[{"(", RowBox[{\(\(-r\^3\)\ \((6\ Q\^4 + m\ r\^2\ \((9\ m - r\ \((6 + \[Lambda])\))\) + Q\^2\ r\ \((\(-17\)\ m + r\ \((8 + \[Lambda])\))\))\)\ f[r]\), "-", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{"(", RowBox[{\(\((4\ Q\^4 + 6\ Q\^2\ r\ \((\(-2\)\ m + r)\) + r\^2\ \((6\ m\^2 + m\ r\ \((\(-3\) + \[Lambda])\) + r\^2\ \[Lambda]\ \((1 + \ \[Lambda])\))\))\)\ p[r]\), "-", RowBox[{ "r", " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{"(", RowBox[{ RowBox[{\(r\^3\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}]}], ")"}]}]}], ")"}]}], ")"}], "/", \((r\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\ \((\(-2\ \)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\^2)\)}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Riscrivo le due equazioni rimaste : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"E6q1", "=", RowBox[{ RowBox[{\((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), RowBox[{"(", RowBox[{\(r\^3\ \((3\ Q\^2 + r\ \((\(-5\)\ m + 2\ r)\))\)\ f[ r]\), "-", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((2\ Q\^2 - r\ \((2\ m + r + r\ \[Lambda])\))\)\ p[r]\), "+", RowBox[{\(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], "\[Equal]", "0"}]}], ";"}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"E6q6", "=", RowBox[{ RowBox[{\((r\^3\ f[r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ p[ r])\), RowBox[{"(", RowBox[{\(r\^3\ \((\(-6\)\ Q\^4 + m\ r\^2\ \((\(-9\)\ m + r\ \((6 + \[Lambda])\))\) - Q\^2\ r\ \((\(-17\)\ m + r\ \((8 + \[Lambda])\))\))\)\ f[r]\), "-", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((4\ Q\^4 + 6\ Q\^2\ r\ \((\(-2\)\ m + r)\) + r\^2\ \((6\ m\^2 + m\ r\ \((\(-3\) + \[Lambda])\) + r\^2\ \[Lambda]\ \((1 + \[Lambda])\))\))\)\ p[ r]\), "+", RowBox[{\(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], "\[Equal]", "0"}]}], ";"}]], "Input", FontSize->24], Cell[CellGroupData[{ Cell["\<\ Analisi della soluzione immediata con un grado di libert\[AGrave] residuo \ \>", "Subsubsection", FontSize->24], Cell[BoxData[ \(\(f[ r_] = \(-\(1\/r\)\) \((1 - \(2\ m\)\/r + Q\^2\/r\^2)\)\ p[ r];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[q[r]]\)], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[g[r]]\)], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Ovviamente non \[EGrave] accettabile. \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(f[r_] =. ;\)\)], "Input", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell["\<\ Prosecuzione \ \>", "Subsubsection", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"E7q1", "=", RowBox[{ RowBox[{\(r\^3\ \((3\ Q\^2 + r\ \((\(-5\)\ m + 2\ r)\))\)\ f[r]\), "-", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((2\ Q\^2 - r\ \((2\ m + r + r\ \[Lambda])\))\)\ p[r]\), "+", RowBox[{\(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"E7q6", "=", RowBox[{ RowBox[{\(r\^3\ \((\(-6\)\ Q\^4 + m\ r\^2\ \((\(-9\)\ m + r\ \((6 + \[Lambda])\))\) - Q\^2\ r\ \((\(-17\)\ m + r\ \((8 + \[Lambda])\))\))\)\ f[ r]\), "-", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((4\ Q\^4 + 6\ Q\^2\ r\ \((\(-2\)\ m + r)\) + r\^2\ \((6\ m\^2 + m\ r\ \((\(-3\) + \[Lambda])\) + r\^2\ \[Lambda]\ \((1 + \[Lambda])\))\))\)\ p[r]\), "+", RowBox[{\(r\^4\), " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["f", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}], "+", RowBox[{ "r", " ", \(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\^2\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], "\[Equal]", "0"}]}], ";"}]], "Input", FontSize->24], Cell[TextData[{ "\nMoltiplicando E7q1 per ", Cell[BoxData[ StyleBox[\((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\), FontFamily->"Times New Roman"]]], " e addizionandogli E6q6 :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(E8q6 = Simplify[First[E7q1]*\((2\ Q\^2 - r\ \((3\ m + r\ \[Lambda])\))\) + First[E7q6]] == 0\)], "Input", FontSize->24], Cell[BoxData[ \(\(-2\)\ \((r\^4\ \((\(-3\)\ m\^2\ r + m\ \((Q\^2 - 3\ r\^2\ \[Lambda])\) + r\ \((r\^2\ \[Lambda] + 2\ Q\^2\ \((1 + \[Lambda])\))\))\)\ f[ r] + \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((4\ Q\^4 + Q\^2\ r\ \((\(-11\)\ m - 2\ r\ \((\(-1\) + \[Lambda])\))\) + r\^2\ \((6\ m\^2 + 3\ m\ r\ \[Lambda] + r\^2\ \[Lambda]\ \((1 + \[Lambda])\))\))\)\ p[r])\) == 0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Da cui : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(f[r_] = Simplify[\(Solve[E8q6, f[r]]\)[\([1, 1, 2]\)]]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(\((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((4\ Q\^4 + Q\^2\ r\ \((\(-11\)\ m - 2\ r\ \((\(-1\) + \[Lambda])\))\) + r\^2\ \((6\ m\^2 + 3\ m\ r\ \[Lambda] + r\^2\ \[Lambda]\ \((1 + \[Lambda])\))\))\)\ p[ r]\)\/\(r\^4\ \((\(-3\)\ m\^2\ r + m\ \((Q\^2 - 3\ r\^2\ \[Lambda])\) + r\ \((r\^2\ \[Lambda] + 2\ Q\^2\ \((1 + \[Lambda])\))\))\)\)\)\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ ed ottengo gi\[AGrave] il potenziale : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(DefVfin = V[r] \[Equal] FullSimplify[\(Solve[DefV, V[r]]\)[\([1, 1, 2]\)]]\)], "Input", FontSize->24], Cell[BoxData[ \(V[r] == \(2\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\ \((\(-4\)\ Q\^6 + 6\ \ Q\^4\ r\ \((3\ m + r\ \[Lambda])\) + Q\^2\ r\^2\ \((\(-27\)\ m\^2 + m\ r\ \ \((6 - 16\ \[Lambda])\) + 6\ r\^2\ \[Lambda])\) + r\^3\ \((9\ m\^3 + 9\ m\^2\ \ r\ \[Lambda] + 3\ m\ r\^2\ \[Lambda]\^2 + r\^3\ \[Lambda]\^2\ \((1 + \ \[Lambda])\))\))\)\)\/\(r\^6\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\ \)\^2\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ che pu\[OGrave] riscriversi come : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(V[r_] = 2 \( \[ExponentialE]\^\[Nu][ r]\) \((\(1 + \[Lambda]\)\/r\^2 - \(3\ m\)\/r\^3 + \(4\ \ Q\^2\)\/r\^4 + 2 \( 9\ Q\^4 - 20\ m\ Q\^2\ r + \((9\ m\^2 + 5\ Q\^2)\)\ r\^2 - \ 3\ m\ r\^3\)\/\(r\^4\ \((\(-2\)\ Q\^2 + 3\ m\ r + r\^2\ \[Lambda])\)\) + \(\(\ \[ExponentialE]\^\[Nu][r]\) \((4\ Q\^2 - 3\ m\ r)\)\^2\)\/\(r\^2\ \((\(-2\)\ \ Q\^2 + 3\ m\ r + r\^2\ \[Lambda])\)\^2\))\);\)\)], "Input", FontSize->24], Cell["\<\ con, al solito : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(\[Nu][r_] = Log[1 - \(2\ m\)\/r + Q\^2\/r\^2];\)\)], "Input", FontSize->24], Cell["\<\ Controllo : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[DefVfin]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[TextData[{ "Ulteriore controllo formale: ponendo Q=0 si ritrova la nota espressione \ del potenziale di Zerilli per la metrica di Schwarzschild (cfr. F. J. \ Zerilli, ", StyleBox["Phys. Rev. Lett.", FontSlant->"Italic"], ", ", StyleBox["24 (1970) ", FontWeight->"Bold"], ", p. 738 - eq. 5) :\n" }], "Subsubsection", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[V[r] /. Q \[Rule] 0]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-\(\(2\ \((2\ m - r)\)\ \((9\ m\^3 + 9\ m\^2\ r\ \[Lambda] + 3\ m\ r\^2\ \[Lambda]\^2 + r\^3\ \[Lambda]\^2\ \((1 + \[Lambda])\))\)\)\/\(r\^4\ \((3\ m \ + r\ \[Lambda])\)\^2\)\)\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Equazione finale : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Ord[E7q1]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"-", RowBox[{ RowBox[{"(", RowBox[{\((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\), " ", RowBox[{"(", RowBox[{\(\((2\ Q\^2\ r\ \((4\ Q\^2\ r\^2\ \[Lambda] + 4\ Q\^4\ \((1 + \[Lambda])\) + r\^4\ \[Lambda]\ \((4 + \[Lambda])\))\) + 3\ m\^3\ \((5\ Q\^2\ r\^2 - r\^4\ \((3 + 4\ \[Lambda])\))\) + m\^2\ \((\(-12\)\ Q\^4\ r + 6\ r\^5\ \[Lambda] + 2\ Q\^2\ r\^3\ \((3 + 19\ \[Lambda])\))\) + m\ \((2\ Q\^6 - r\^6\ \[Lambda]\ \((3 + \[Lambda])\) - Q\^4\ r\^2\ \((16 + 31\ \[Lambda])\) - Q\^2\ r\^4\ \((\(-6\) + 22\ \[Lambda] + \[Lambda]\^2)\))\))\)\ p[ r]\), "-", RowBox[{ "r", " ", \((Q\^2 + r\ \((\(-2\)\ m + r)\))\), " ", \((9\ m\^3\ r\^2 - 3\ m\^2\ \((3\ Q\^2\ r - 4\ r\^3\ \[Lambda])\) + r\ \((\(-2\)\ Q\^2\ r\^2\ \[Lambda]\^2 - r\^4\ \[Lambda]\^2 + 4\ Q\^4\ \((1 + \[Lambda])\))\) + m\ \((2\ Q\^4 + 3\ r\^4\ \((\(-1\) + \[Lambda])\)\ \[Lambda] - Q\^2\ r\^2\ \((6 + 13\ \[Lambda])\))\))\), " ", RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}]}]}], ")"}]}], ")"}], "/", \((r\ \((\(-3\)\ m\^2\ r + m\ \((Q\^2 - 3\ r\^2\ \[Lambda])\) \ + r\ \((r\^2\ \[Lambda] + 2\ Q\^2\ \((1 + \[Lambda])\))\))\)\^2)\)}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ riscritta meglio, \[EGrave] : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"E8q1", "=", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["p", "\[Prime]", MultilineFunction->None], "[", "r", "]"}], "-", \(\((\(\(-2\)\ Q\^2\ r + m\ \((Q\^2 + r\^2)\)\)\/\(\((2\ \ Q\^2 + r\ \((\(-3\)\ m + r)\))\)\ \((Q\^2 + r\ \((\(-2\)\ m + r)\))\)\) + \ \(\(-9\)\ m\^3\ r\^2 - 4\ Q\^2\ r\^3 + 6\ m\^2\ r\ \((Q\^2 + r\^2)\) + m\ \((\ \(-2\)\ Q\^4 + 3\ Q\^2\ r\^2)\)\)\/\(r\ \((2\ Q\^2 + r\ \((\(-3\)\ m + \ r)\))\)\ \((m\ Q\^2 - 3\ m\^2\ r + 2\ Q\^2\ r + r\ \((2\ Q\^2 + r\ \((\(-3\)\ \ m + r)\))\)\ \[Lambda])\)\) + \(\(-4\)\ Q\^2 + 3\ m\ r\)\/\(r\ \((\(-2\)\ \ Q\^2 + r\ \((3\ m + r\ \[Lambda])\))\)\))\) p[r]\)}], "\[Equal]", "0"}]}], ";"}]], "Input", FontSize->24], Cell["\<\ che \[EGrave] analiticamente risolvibile (pongo gi\[AGrave] la costante \ moltiplicativa uguale a 1) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(\(FullSimplify[DSolve[E8q1, p[r], r] /. C[1] \[Rule] 1]\)[\([1, 1, 2]\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\(2\ Q\^2 - 3\ m\ r + r\^2\)\/\(Q\^2 - 2\ m\ r + r\^2\) + \(4\ Q\^2 - 3\ \ m\ r\)\/\(\(-2\)\ Q\^2 + 3\ m\ r + r\^2\ \[Lambda]\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ ossia : \ \>", "Text", FontSize->24], Cell[BoxData[ \(p[r_] = 1 + \((Q\^2\/r\^2 - m\/r)\) \[ExponentialE]\^\(-\[Nu][r]\) - \(3\ m\ r - 4\ \ Q\^2\)\/\(3\ m\ r + r\^2\ \[Lambda] - 2\ Q\^2\)\)], "Input", FontSize->24], Cell["\<\ Corrispondentemente, le altre funzioni valgono : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[f[r]]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\(-4\)\ Q\^4 + Q\^2\ r\ \((11\ m + 2\ r\ \((\(-1\) + \[Lambda])\))\) \ - r\^2\ \((6\ m\^2 + 3\ m\ r\ \[Lambda] + r\^2\ \[Lambda]\ \((1 + \ \[Lambda])\))\)\)\/\(r\^3\ \((\(-2\)\ Q\^2 + r\ \((3\ m + r\ \ \[Lambda])\))\)\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ ovvero : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(f[ r_] = \(1\/r\) \((\(\(3\ m\ r - 4\ Q\^2\)\/\(r\^2\ \[Lambda] + 3\ m\ r - 2\ Q\^2\)\) \[ExponentialE]\^\[Nu][r] - 1 - \[Lambda])\);\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[q[r]]\)], "Input", FontSize->24], Cell[BoxData[ \(r\^3\/\(Q\^2 + r\ \((\(-2\)\ m + r)\)\)\)], "Output", FontSize->24] }, Open ]], Cell["\<\ cio\[EGrave] : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(q[r_] = r\ \[ExponentialE]\^\(-\[Nu][r]\);\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[g[r]]\)], "Input", FontSize->24], Cell[BoxData[ \(\(-1\)\)], "Output", FontSize->24] }, Open ]] }, Open ]] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[TextData[StyleBox["2) Come... ?", FontSize->36]], "Subtitle", CellFrame->{{0, 0}, {0, 2}}], Cell[CellGroupData[{ Cell["\<\ ... seguire una particella-test in un background di collisione di due GW \ piane \ \>", "Section 1", FontSize->24], Cell[CellGroupData[{ Cell["\<\ Trattamento del sistema geodetico per la metrica di Ferrari-Iba\[NTilde]ez in \ Regione I \ \>", "Subsection", FontSize->24], Cell[CellGroupData[{ Cell["\<\ Fase I - Simmetrie di Killing \ \>", "Subsubsection", FontSize->24], Cell[TextData[{ "Si fa uso del pacchetto ", StyleBox["MathTensor", FontSlant->"Italic"], " di S. Christensen e L. Parker (vers. 2.2) :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(<< mathtens.m\)], "Input", FontSize->24], Cell[BoxData[ \("========================================="\)], "Print", FontSize->24] }, Open ]], Cell["\<\ Caricamento del file metrico le cui componenti sono funzione di una generica \ coordinata curvilinea \[Tau] : \ \>", "Text", FontSize->24], Cell[BoxData[ \(<< FerrIbz1tau.m\)], "Input", FontSize->24], Cell["\<\ le cui componenti covarianti sono : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[Metricg[\(-i\), \(-j\)], {i, 4}, {j, 4}] // MatrixForm\)], "Input",\ FontSize->24], Cell[BoxData[ \({{\(1 - \[Sigma]\ Sin[t[\[Tau]]]\)\/\(1 + \[Sigma]\ Sin[t[\[Tau]]]\), 0, 0, 0}, {0, Cos[z[\[Tau]]]\^2\ \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2, 0, 0}, {0, 0, \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2, 0}, {0, 0, 0, \(-\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Questa sostituzione tiene conto, dove necessario, della natura della costante \ \[Sigma] : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(ss = \[Sigma]\^2 \[Rule] 1;\)\)], "Input", FontSize->24], Cell["\<\ Si verifica che la metrica soddisfa effettivamente le eq. di Einstein : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[RicciR[\(-i\), \(-j\)] /. ss, {i, 4}, {j, 4}] // MatrixForm\)], "Input", FontSize->24], Cell[BoxData[ TagBox[ RowBox[{"(", "\[NoBreak]", GridBox[{ {"0", "0", "0", "0"}, {"0", "0", "0", "0"}, {"0", "0", "0", "0"}, {"0", "0", "0", "0"} }], "\[NoBreak]", ")"}], Function[ BoxForm`e$, MatrixForm[ BoxForm`e$]]]], "Output", FontSize->24] }, Open ]], Cell["\<\ La 4-velocit\[AGrave] \[EGrave] definita in modo da anticipare lo \ sfruttamento dei vettori di Killing traslazionali : \ \>", "Text", FontSize->24], Cell[BoxData[ \(DefineTensor[U, {{1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[{\(U /: U[1] = Ux[\[Tau]];\), "\[IndentingNewLine]", \(U /: U[2] = Uy[\[Tau]];\), "\[IndentingNewLine]", RowBox[{ RowBox[{"U", "/:", \(U[3]\), "=", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{"U", "/:", \(U[4]\), "=", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], ";"}]}], "Input",\ FontSize->24], Cell[TextData[{ "\nIl sistema ", Cell[BoxData[ FormBox[ RowBox[{ RowBox[{ StyleBox[ FractionBox[\(d\ U\^\(\(\ \)\(\[Mu]\)\)\), RowBox[{"d", " ", StyleBox["\[Tau]", FontSize->24]}], MultilineFunction->None], FontSize->36, FontWeight->"Plain"], StyleBox["+", FontSize->24, FontWeight->"Plain"], StyleBox[\(\(\(\(\[CapitalGamma]\)\(\ \)\)\_\(\[Rho]\ \ \[Sigma]\)\%\[Mu]\) U\^\(\(\ \)\(\[Rho]\)\)\ U\^\(\(\ \)\(\[Sigma]\)\)\), FontSize->24, FontWeight->"Plain"]}], StyleBox["=", FontSize->24, FontWeight->"Plain"], StyleBox["0", FontSize->24, FontWeight->"Plain"]}], TraditionalForm]], FontSize->14], " :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[ Eq[k] = \[PartialD]\_\[Tau]\ U[k] + Simplify[\((\[Sum]\+\(i = 1\)\%4\(\[Sum]\+\(j = 1\)\%4 AffineG[ k, \(-i\), \(-j\)] U[i] U[j]\))\) /. ss] \[Equal] 0, {k, 4}] // TableForm\)], "Input", FontSize->24], Cell[BoxData[ InterpretationBox[GridBox[{ { StyleBox[ RowBox[{ RowBox[{ RowBox[{\(-2\), " ", "\[Sigma]", " ", \(Sec[t[\[Tau]]]\), " ", \(Ux[\[Tau]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "+", RowBox[{ SuperscriptBox["Ux", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}], FontSize->24]}, { StyleBox[ RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["Uy", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "+", RowBox[{"2", " ", \(Uy[\[Tau]]\), " ", RowBox[{"(", RowBox[{ FractionBox[ RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)], "-", RowBox[{\(Tan[z[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], ")"}]}]}], "==", "0"}], FontSize->24]}, { StyleBox[ RowBox[{ RowBox[{\(Cos[z[\[Tau]]]\ Sin[z[\[Tau]]]\ Uy[\[Tau]]\^2\), "+", FractionBox[ RowBox[{ "2", " ", "\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)], "+", RowBox[{ SuperscriptBox["z", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}], FontSize->24]}, { RowBox[{ RowBox[{ FractionBox[ RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{"(", RowBox[{\(-Ux[\[Tau]]\^2\), "+", \(Cos[z[\[Tau]]]\^2\ \((1 + \[Sigma]\ Sin[t[\ \[Tau]]])\)\^3\ Uy[\[Tau]]\^2\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], ")"}]}], StyleBox[\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\), FontSize->18]], StyleBox["+", FontSize->24], StyleBox[ RowBox[{ SuperscriptBox["t", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], FontSize->24]}], StyleBox["==", FontSize->24], StyleBox["0", FontSize->24]}]} }, RowSpacings->1, ColumnSpacings->3, RowAlignments->Baseline, ColumnAlignments->{Left}], TableForm[ { Equal[ Plus[ Times[ -2, \[Sigma], Sec[ t[ \[Tau]]], Ux[ \[Tau]], Derivative[ 1][ t][ \[Tau]]], Derivative[ 1][ Ux][ \[Tau]]], 0], Equal[ Plus[ Derivative[ 1][ Uy][ \[Tau]], Times[ 2, Uy[ \[Tau]], Plus[ Times[ \[Sigma], Cos[ t[ \[Tau]]], Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], -1], Derivative[ 1][ t][ \[Tau]]], Times[ -1, Tan[ z[ \[Tau]]], Derivative[ 1][ z][ \[Tau]]]]]], 0], Equal[ Plus[ Times[ Cos[ z[ \[Tau]]], Sin[ z[ \[Tau]]], Power[ Uy[ \[Tau]], 2]], Times[ 2, \[Sigma], Cos[ t[ \[Tau]]], Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], -1], Derivative[ 1][ t][ \[Tau]], Derivative[ 1][ z][ \[Tau]]], Derivative[ 2][ z][ \[Tau]]], 0], Equal[ Plus[ Times[ \[Sigma], Cos[ t[ \[Tau]]], Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], -4], Plus[ Times[ -1, Power[ Ux[ \[Tau]], 2]], Times[ Power[ Cos[ z[ \[Tau]]], 2], Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], 3], Power[ Uy[ \[Tau]], 2]], Times[ Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], 3], Power[ Derivative[ 1][ t][ \[Tau]], 2]], Times[ Power[ Plus[ 1, Times[ \[Sigma], Sin[ t[ \[Tau]]]]], 3], Power[ Derivative[ 1][ z][ \[Tau]], 2]]]], Derivative[ 2][ t][ \[Tau]]], 0]}]]], "Output", FontSize->16] }, Open ]], Cell[TextData[{ "\nLa condizione di normalizzazione della 4-velocit\[AGrave] ", Cell[BoxData[ \(TraditionalForm\`\(U\^\(\(\ \)\(\[Alpha]\)\)\) U\_\(\(\ \)\(\[Alpha]\)\) = \(-1\)\)]], ":\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Eq[5] = Simplify[MakeSum[ Metricg[li, lj] U[ui] U[uj]]] \[Equal] \(-1\)\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(-\(\(\((\(-1\) + \[Sigma]\ Sin[ t[\[Tau]]])\)\ Ux[\[Tau]]\^2\)\/\(1 + \[Sigma]\ Sin[ t[\[Tau]]]\)\)\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", RowBox[{"(", RowBox[{\(Cos[z[\[Tau]]]\^2\ Uy[\[Tau]]\^2\), "-", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"], "+", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], ")"}]}]}], "==", \(-1\)}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Si dichiarano i 2+2 vettori di Killing : \ \>", "Text", FontSize->24], Cell[BoxData[ \(DefineTensor[{X, Y, V1, V2}, {{1}, 1}]\)], "Input", FontSize->24], Cell[BoxData[{ \(\(X /: X[1] = const;\)\), "\[IndentingNewLine]", \(\(X /: X[2] = 0;\)\), "\[IndentingNewLine]", \(\(X /: X[3] = 0;\)\), "\[IndentingNewLine]", \(\(X /: X[4] = 0;\)\)}], "Input", FontSize->24], Cell[BoxData[{ \(\(Y /: Y[1] = 0;\)\), "\[IndentingNewLine]", \(\(Y /: Y[2] = const;\)\), "\[IndentingNewLine]", \(\(Y /: Y[3] = 0;\)\), "\[IndentingNewLine]", \(\(Y /: Y[4] = 0;\)\)}], "Input", FontSize->24], Cell[BoxData[{ \(\(V1 /: V1[1] = 0;\)\), "\[IndentingNewLine]", \(\(V1 /: V1[2] = const\ Sin[y[\[Tau]]] Tan[z[\[Tau]]];\)\), "\[IndentingNewLine]", \(\(V1 /: V1[3] = const\ Cos[y[\[Tau]]];\)\), "\[IndentingNewLine]", \(\(V1 /: V1[4] = 0;\)\)}], "Input", FontSize->24], Cell[BoxData[{ \(\(V2 /: V2[1] = 0;\)\), "\[IndentingNewLine]", \(\(V2 /: V2[2] = const\ Cos[y[\[Tau]]] Tan[z[\[Tau]]];\)\), "\[IndentingNewLine]", \(\(V2 /: V2[3] = \(-const\)\ Sin[y[\[Tau]]];\)\), "\[IndentingNewLine]", \(\(V2 /: V2[4] = 0;\)\)}], "Input", FontSize->24], Cell["\<\ Attivazione della derivazione esplicita : \ \>", "Text", FontSize->24], Cell[BoxData[ \(On[EvaluateODFlag]\)], "Input", FontSize->24], Cell["\<\ Verifichiamo l'asserzione riguardante i quattro vettori. Un generico tensore simmetrico : \ \>", "Text", FontSize->24], Cell[BoxData[ \(DefineTensor[Kil, {{2, 1}, 1}]\)], "Input", FontSize->24], Cell[TextData[{ "\nValutazione del primo membro dell'equazione di Killing ", Cell[BoxData[ StyleBox[\(\[Xi]\_\(\[Mu]; \[Nu]\) + \[Xi]\_\(\[Nu]; \[Mu]\) = 0\), FontSize->24]], FontSize->18], " nei quattro casi :\n" }], "Text", FontSize->24], Cell[BoxData[ \(\(Kil[li_, lj_] = MakeSum[CDtoOD[ CD[Metricg[li, la]\ X[ua], lj] + CD[Metricg[lj, la]\ X[ua], li]]];\)\)], "Input", FontSize->24], Cell["\<\ 1) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[FullSimplify[Kil[\(-i\), \(-j\)]], {i, 4}, {j, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ 2) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(Kil[li_, lj_] = MakeSum[CDtoOD[ CD[Metricg[li, la]\ Y[ua], lj] + CD[Metricg[lj, la]\ Y[ua], li]]];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[FullSimplify[Kil[\(-i\), \(-j\)]], {i, 4}, {j, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ 3) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(Kil[li_, lj_] = MakeSum[CDtoOD[ CD[Metricg[li, la]\ V1[ua], lj] + CD[Metricg[lj, la]\ V1[ua], li]]];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[FullSimplify[Kil[\(-i\), \(-j\)]], {i, 4}, {j, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ 4) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(Kil[li_, lj_] = MakeSum[CDtoOD[ CD[Metricg[li, la]\ V2[ua], lj] + CD[Metricg[lj, la]\ V2[ua], li]]];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Table[FullSimplify[Kil[\(-i\), \(-j\)]], {i, 4}, {j, 4}]\)], "Input", FontSize->24], Cell[BoxData[ \({{0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}, {0, 0, 0, 0}}\)], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nProcediamo all'assegnazione dei quattro corrispondenti momenti coniugati \ tramite l'equazione ", Cell[BoxData[ FormBox[ RowBox[{ StyleBox[ RowBox[{\(\[Xi]\_\[Mu]\), " ", SuperscriptBox[ StyleBox["U", FontSize->16, FontWeight->"Plain", FontSlant->"Italic", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], \(\(\ \)\(\[Mu]\)\)]}], FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox["=", FontWeight->"Plain", FontSlant->"Plain", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}], StyleBox[\(\(cost\)\(.\)\), FontWeight->"Plain", FontSlant->"Italic", FontTracking->"Plain", FontVariations->{"Underline"->False, "Outline"->False, "Shadow"->False, "StrikeThrough"->False, "Masked"->False, "CompatibilityType"->0, "RotationAngle"->0}]}], TraditionalForm]]], " come ", Cell[BoxData[ \(TraditionalForm\`K\_x\)]], ", ", Cell[BoxData[ \(TraditionalForm\`K\_y\)]], ", ", Cell[BoxData[ \(TraditionalForm\`K\_z1\)]], ", ", Cell[BoxData[ \(TraditionalForm\`K\_z2\)]], ".\n", "1), 2) :", "\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[MakeSum[Metricg[li, lj] X[ui] U[uj]] \[Equal] Kx\ const, U[1]]\)], "Input", FontSize->24], Cell[BoxData[ \({{Ux[\[Tau]] \[Rule] \(Kx\ \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\)\/\(1 - \ \[Sigma]\ Sin[t[\[Tau]]]\)}}\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[MakeSum[Metricg[li, lj] Y[ui] U[uj]] \[Equal] Ky\ const, U[2]]\)], "Input", FontSize->24], Cell[BoxData[ \({{Uy[\[Tau]] \[Rule] \(Ky\ Sec[z[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ Sin[t[\ \[Tau]]])\)\^2}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Si ridefiniscono di conseguenza le prime due componenti della 4-velocit\ \[AGrave] : \ \>", "Text", FontSize->24], Cell[BoxData[{ \(\(Ux[\[Tau]_] = Kx\ \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)\/\(1 - \[Sigma]\ \ Sin[t[\[Tau]]]\);\)\), "\[IndentingNewLine]", \(\(Uy[\[Tau]_] = Ky\ Sec[z[\[Tau]]]\^2\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2;\)\)}], \ "Input", FontSize->24], Cell["\<\ 3) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[ MakeSum[Metricg[li, lj] V1[ui] U[uj]] \[Equal] Kz1\ const]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(const\ Ky\ Sin[y[\[Tau]]]\ Tan[z[\[Tau]]]\), "+", RowBox[{ "const", " ", \(Cos[y[\[Tau]]]\), " ", \(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], "==", \(const\ Kz1\)}]], "Output", FontSize->24] }, Open ]], Cell["\<\ da cui z'(\[Tau]) risulta esprimibile come : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"KilX", "=", RowBox[{"Simplify", "[", RowBox[{"Solve", "[", RowBox[{ RowBox[{"%", "/.", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", "zp"}]}], ",", "zp"}], "]"}], "]"}]}]], "Input", FontSize->24], Cell[BoxData[ \({{zp \[Rule] \(Sec[y[\[Tau]]]\ \((Kz1 - Ky\ Sin[y[\[Tau]]]\ \ Tan[z[\[Tau]]])\)\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ 2) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[ MakeSum[Metricg[li, lj] V2[ui] U[uj]] \[Equal] Kz2\ const]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{\(const\ Ky\ Cos[y[\[Tau]]]\ Tan[z[\[Tau]]]\), "==", RowBox[{"const", " ", RowBox[{"(", RowBox[{"Kz2", "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", \(Sin[y[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], ")"}]}]}]], "Output", FontSize->24] }, Open ]], Cell["\<\ quindi z'(\[Tau]) vale, stavolta : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"KilY", "=", RowBox[{"Simplify", "[", RowBox[{"Solve", "[", RowBox[{ RowBox[{"%", "/.", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", "zp"}]}], ",", "zp"}], "]"}], "]"}]}]], "Input", FontSize->24], Cell[BoxData[ \({{zp \[Rule] \(\(-Kz2\)\ Csc[y[\[Tau]]] + Ky\ Cot[y[\[Tau]]]\ Tan[z[\ \[Tau]]]\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2}}\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Uguagliando le due espressioni trovate : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\(KilX[\([1, 1]\)]\)[\([2]\)] - \(KilY[\([1, 1]\)]\)[\([2]\)]] \[Equal] 0\)], "Input", FontSize->24], Cell[BoxData[ \(\(Kz1\ Sec[y[\[Tau]]] + Csc[y[\[Tau]]]\ \((Kz2 - Ky\ Sec[y[\[Tau]]]\ \ Tan[z[\[Tau]]])\)\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2 == 0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Quindi resta individuato un integrale primo del moto : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(IntMot = Kz1\ Sec[y[\[Tau]]] + Csc[y[\[Tau]]]\ \((Kz2 - Ky\ Sec[y[\[Tau]]]\ Tan[z[\[Tau]]])\) == 0;\)\)], "Input", FontSize->24], Cell["\<\ da cui z(\[Tau]) \[EGrave] esprimibile in funzione delle coordinate sul \ fronte d'onda : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Solve[IntMot, z[\[Tau]]]\)], "Input", FontSize->24], Cell[BoxData[ \({{z[\[Tau]] \[Rule] ArcTan[\(Kz2\ Cos[y[\[Tau]]] + Kz1\ Sin[y[\[Tau]]]\)\/Ky]}}\)], \ "Output", FontSize->24] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Fase 2 - Riduzione del sistema \ \>", "Subsubsection", FontSize->24], Cell["\<\ Il sistema \[EGrave], a questo punto : \ \>", "Text", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{\(Eq[1]\), "=", RowBox[{ RowBox[{ RowBox[{\(-2\), " ", "\[Sigma]", " ", \(Sec[t[\[Tau]]]\), " ", \(Ux[\[Tau]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "+", RowBox[{ SuperscriptBox["Ux", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[2]\), "=", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["Uy", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "+", RowBox[{"2", " ", \(Uy[\[Tau]]\), " ", RowBox[{"(", RowBox[{ FractionBox[ RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)], "-", RowBox[{\(Tan[z[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], ")"}]}]}], "==", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[3]\), "=", RowBox[{ RowBox[{\(Cos[z[\[Tau]]]\ Sin[z[\[Tau]]]\ Uy[\[Tau]]\^2\), "+", FractionBox[ RowBox[{"2", " ", "\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)], "+", RowBox[{ SuperscriptBox["z", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[4]\), "=", RowBox[{ RowBox[{ FractionBox[ RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{"(", RowBox[{\(-Ux[\[Tau]]\^2\), "+", \(Cos[z[\[Tau]]]\^2\ \((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^3\ Uy[\[Tau]]\^2\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], ")"}]}], \(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\)], "+", RowBox[{ SuperscriptBox["t", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[5]\), "=", RowBox[{ RowBox[{\(\(\((1 - \[Sigma]\ Sin[ t[\[Tau]]])\)\ Ux[\[Tau]]\^2\)\/\(1 + \[Sigma]\ Sin[ t[\[Tau]]]\)\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", RowBox[{"(", RowBox[{\(Cos[z[\[Tau]]]\^2\ Uy[\[Tau]]\^2\), "-", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"], "+", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], ")"}]}]}], "\[Equal]", \(-1\)}]}], ";"}]}], "Input", FontSize->24], Cell["\<\ Le prime due equazioni si riducono ad identit\[AGrave] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[Eq[1]] /. ss\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(FullSimplify[Eq[2]]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Le altre tre equazioni : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Eq[6] = Simplify[Eq[3]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(\(Ky\^2\ Sec[z[\[Tau]]]\^2\ Tan[ z[\[Tau]]]\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\), "+", FractionBox[ RowBox[{"2", " ", "\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)], "+", RowBox[{ SuperscriptBox["z", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq[7] = Simplify[Eq[4]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ FractionBox[ RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{"(", RowBox[{\(\(Ky\^2\ Sec[z[\[Tau]]]\^2\)\/\(1 + \[Sigma]\ Sin[ t[\[Tau]]]\)\), "-", \(\((Kx + Kx\ \[Sigma]\ Sin[t[\[Tau]]])\)\^2\/\((\(-1\) \ + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^3\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], ")"}]}], \(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\)], "+", RowBox[{ SuperscriptBox["t", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "==", "0"}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Eq[8] = Simplify[Eq[5]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\((1 + \[Sigma]\ Sin[t[\[Tau]]])\), " ", RowBox[{"(", RowBox[{\(Kx\^2\/\(1 - \[Sigma]\ Sin[t[\[Tau]]]\)\), "+", RowBox[{\((1 + \[Sigma]\ Sin[t[\[Tau]]])\), " ", RowBox[{"(", RowBox[{\(\(Ky\^2\ Sec[z[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^4\), "-", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"], "+", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], ")"}]}]}], ")"}]}], "==", \(-1\)}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Con la relazione trovata tramite i vettori di Killing non traslazionali \ eliminiamo la dipendenza da z(\[Tau]) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(z[\[Tau]_] = ArcTan[\(Kz2\ Cos[y[\[Tau]]] + Kz1\ Sin[y[\[Tau]]]\)\/Ky];\)\)], \ "Input", FontSize->24], Cell["\<\ Eq[6] si riduce ad un'identit\[AGrave] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[\((Eq[ 6] /. \(y''\)[\[Tau]] \[Rule] \(Uy'\)[\[Tau]])\) /. \(y'\)[\ \[Tau]] \[Rule] Uy[\[Tau]]]\)], "Input", FontSize->24], Cell[BoxData[ \(True\)], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nQuesta prescrizione sostituisce le potenze di \[Sigma] secondo la regola\ \n ", Cell[BoxData[ \(TraditionalForm\`\[Sigma]\^\(\(\ \)\(n\)\) = \((\[Sigma]\ se\ n\ \ \[EGrave]\ dispari, \ \(+1\)\ se\ n\ \[EGrave]\ pari)\)\)]], " :\n" }], "Text", FontSize->24], Cell[BoxData[ \(\[Sigma] /: \[Sigma]\^n_ := If[EvenQ[n], 1, \[Sigma]] /; IntegerQ[n]\)], "Input", FontSize->24], Cell["\<\ Eq[7], Eq[8] : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(e1 = Simplify[\((Eq[ 7] /. \(y''\)[\[Tau]] \[Rule] \(Uy'\)[\[Tau]])\) /. \(y'\)[\ \[Tau]] \[Rule] Uy[\[Tau]]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", RowBox[{ RowBox[{"(", RowBox[{"\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{"(", RowBox[{\(10\ Kx\^2\), "-", \(6\ Ky\^2\), "-", \(6\ Kz1\^2\), "-", \(6\ Kz2\^2\), "+", \(2\ \((\(-3\)\ Kx\^2 + Ky\^2 + Kz1\^2 + Kz2\^2)\)\ Cos[ 2\ t[\[Tau]]]\), "+", \(15\ Kx\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(8\ Ky\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(8\ Kz1\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(8\ Kz2\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "-", \(Kx\^2\ \[Sigma]\ Sin[3\ t[\[Tau]]]\), "+", RowBox[{ "2", " ", \(Cos[t[\[Tau]]]\^4\), " ", \((\(-3\) + Cos[2\ t[\[Tau]]] - 4\ \[Sigma]\ Sin[t[\[Tau]]])\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], ")"}]}], ")"}], "/", \((4\ \((\(-1\) + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\ \((1 + \ \[Sigma]\ Sin[t[\[Tau]]])\)\^5)\)}]}]], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(e2 = Simplify[\((Eq[ 8] /. \(y''\)[\[Tau]] \[Rule] \(Uy'\)[\[Tau]])\) /. \(y'\)[\ \[Tau]] \[Rule] Uy[\[Tau]]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{ RowBox[{"(", RowBox[{\(\(-10\)\ Kx\^2\), "-", \(4\ Ky\^2\), "-", \(4\ Kz1\^2\), "-", \(4\ Kz2\^2\), "+", \(6\ Kx\^2\ Cos[2\ t[\[Tau]]]\), "-", \(15\ Kx\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(4\ Ky\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(4\ Kz1\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(4\ Kz2\^2\ \[Sigma]\ Sin[t[\[Tau]]]\), "+", \(Kx\^2\ \[Sigma]\ Sin[3\ t[\[Tau]]]\), "-", RowBox[{\(Cos[t[\[Tau]]]\^2\), " ", \((\(-10\) + 6\ Cos[2\ t[\[Tau]]] - 15\ \[Sigma]\ Sin[t[\[Tau]]] + \[Sigma]\ Sin[ 3\ t[\[Tau]]])\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], ")"}], "/", \((4\ \((\(-1\) + \[Sigma]\ Sin[ t[\[Tau]]])\)\ \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2)\)}], "==", \(-1\)}]], "Output", FontSize->24] }, Open ]], Cell["\<\ Queste equivalgono a : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(Eq[9]\), "=", RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Equal]", RowBox[{\(1\/4\), " ", "\[Sigma]", " ", \(Cos[t[\[Tau]]]\), " ", RowBox[{"(", RowBox[{\(-\(\(4\ \((Ky\^2 + Kz1\^2 + Kz2\^2)\)\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^5\)\), "+", \(\(4\ Kx\^2\)\/\((1 - Sin[t[\[Tau]]]\^2)\)\^2\), "-", FractionBox[ RowBox[{"4", " ", SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}], \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)]}], ")"}]}]}]}], ";"}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{\(Eq[10]\), "=", RowBox[{ SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"], "\[Equal]", \(Kx\^2\/Cos[t[\[Tau]]]\^2 + \(Ky\^2 + Kz1\^2 + Kz2\^2 \ + \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\ \^4\)}]}], ";"}]], "Input", FontSize->24], Cell["\<\ Dimostrazione (per entrambi i possibili valori di \[Sigma]) :\ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[{ \(Simplify[\((\((\((First[e1] - Last[e1])\))\) - \((First[Eq[9]] - Last[Eq[9]])\))\) /. \[Sigma] \[Rule] 1]\), "\[IndentingNewLine]", \(Simplify[\((\((\((First[e1] - Last[e1])\))\) - \((First[Eq[9]] - Last[Eq[9]])\))\) /. \[Sigma] \[Rule] \(-1\)]\)}], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[{ \(Simplify[\((\((First[e2] - Last[e2])\) - \((First[Eq[10]] - Last[Eq[10]])\) \((1\/2\ \((\(-3\) + Cos[2\ t[\[Tau]]] - 4\ \[Sigma]\ Sin[ t[\[Tau]]])\))\))\) /. \[Sigma] \[Rule] 1]\), "\[IndentingNewLine]", \(Simplify[\((\((First[e2] - Last[e2])\) - \((First[Eq[10]] - Last[Eq[10]])\) \((1\/2\ \((\(-3\) + Cos[2\ t[\[Tau]]] - 4\ \[Sigma]\ Sin[ t[\[Tau]]])\))\))\) /. \[Sigma] \[Rule] \ \(-1\)]\)}], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ Inoltre, esse sono compatibili fra loro (derivando la seconda e sottraendole \ la prima moltiplicata per 2t'(\[Tau]) e riespressa tramite la seconda) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{ RowBox[{"Simplify", "[", RowBox[{ RowBox[{ FractionBox[\(\[PartialD]\_\[Tau]\ Last[Eq[10]]\), RowBox[{"2", RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]], "-", \(Last[Eq[9]]\)}], "/.", RowBox[{ SuperscriptBox[ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"], "\[Rule]", \(Last[Eq[10]]\)}]}], "]"}], "/.", "ss"}]], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell["\<\ quindi, assumendo equiversi il tempo dell'osservatore e quello riferito alla \ particella-test, si pu\[OGrave] considerare come ultima equazione la seguente \ : \ \>", "Text", FontSize->24], Cell[BoxData[ FormBox[ RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "(", "\[Tau]", ")"}], "=", \(\@\(Kx\^2\/\(cos\^2\ \(t(\[Tau])\)\) + \(Ky\^2 + Kz1\^2 + \ Kz2\^2 + \ \([\[Sigma]\ sin\ \(t(\[Tau])\) + 1]\)\^\(\(\ \)\(2\)\)\)\/\([\ \[Sigma]\ sin\ \(t(\[Tau])\) + 1]\)\^\(\(\ \)\(4\)\)\)\)}], TraditionalForm]], "Text", FontSize->24] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Fase 3 - Sistema finale in (y, t) , poi in (z, t) , infine in (u, v) \ \>", "Subsubsection", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{\(Eq[1]\), "=", RowBox[{ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(Kx\ \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)\/\(1 - \[Sigma]\ \ Sin[t[\[Tau]]]\)\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[2]\), "=", RowBox[{ RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(Ky\ Sec[z[\[Tau]]]\^2\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^2\)}]}], ";"}], "\[IndentingNewLine]", \(z[\[Tau]_] = ArcTan[\(Kz2\ Cos[y[\[Tau]]] + Kz1\ Sin[y[\[Tau]]]\)\/Ky];\), "\ \[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[3]\), "=", RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Equal]", \(\@\(Kx\^2\/Cos[t[\[Tau]]]\^2 + \(Ky\^2 + Kz1\^2 + Kz2\ \^2 + \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^4\)\)}]}], ";"}]}], "Input", FontSize->24], Cell["\<\ Si procede all'eliminazione della dipendenza da y(\[Tau]). Da Eq[2] e z(\[Tau]) si ottiene, per z'(\[Tau]), la forma : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"zp", "=", RowBox[{"FullSimplify", "[", RowBox[{\(\[PartialD]\_\[Tau]\ z[\[Tau]]\), "/.", RowBox[{ RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", \(Last[Eq[2]]\)}]}], "]"}]}]], "Input", FontSize->24], Cell[BoxData[ \(\(Kz1\ Cos[y[\[Tau]]] - Kz2\ Sin[y[\[Tau]]]\)\/\((1 + \[Sigma]\ Sin[t[\ \[Tau]]])\)\^2\)], "Output", FontSize->24] }, Open ]], Cell["\<\ e, sopprimendo temporaneamente l'espressione esplicita di z(\[Tau]) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(z[\[Tau]_] =. ;\)\)], "Input", FontSize->24], Cell["\<\ si pu\[OGrave] scrivere il seguente sottosistema : \ \>", "Text", FontSize->24], Cell[BoxData[ RowBox[{ RowBox[{"syst", "=", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(\(Kz1\ Cos[y[\[Tau]]] - Kz2\ Sin[ y[\[Tau]]]\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^2\)}], ",", \(z[\[Tau]] == ArcTan[\(Kz2\ Cos[y[\[Tau]]] + Kz1\ Sin[y[\[Tau]]]\)\/Ky]\)}], "}"}]}], ";"}]], "Input", FontSize->24], Cell["\<\ da cui possono ottenersi le funzioni goniometriche di y(\[Tau]) : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(sc = FullSimplify[Solve[syst, {Cos[y[\[Tau]]], Sin[y[\[Tau]]]}]]\)], "Input",\ FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{\(Cos[y[\[Tau]]]\), "\[Rule]", FractionBox[ RowBox[{\(Ky\ Kz2\ Tan[z[\[Tau]]]\), "+", RowBox[{ "Kz1", " ", \(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], \(Kz1\^2 + Kz2\^2\)]}], ",", RowBox[{\(Sin[y[\[Tau]]]\), "\[Rule]", FractionBox[ RowBox[{\(Ky\ Kz1\ Tan[z[\[Tau]]]\), "-", RowBox[{ "Kz2", " ", \(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\), " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}]}], \(Kz1\^2 + Kz2\^2\)]}]}], "}"}], "}"}]], "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\nCosicch\[EAcute], scrivendo semplicemente ", Cell[BoxData[ \(TraditionalForm\`\(sin\^2\) y + \(cos\^2\) y = 1\)]], " :\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(goniom = FullSimplify[ Last[sc[\([1, 1]\)]]\^2 + Last[sc[\([1, 2]\)]]\^2] \[Equal] 1\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{ FractionBox[ RowBox[{\(Ky\^2\ Tan[z[\[Tau]]]\^2\), "+", RowBox[{\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\), " ", SuperscriptBox[ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "2"]}]}], \(Kz1\^2 + Kz2\^2\)], "==", "1"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ si ottiene la forma di z'(t(\[Tau]), z(\[Tau])) :\ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ RowBox[{"FullSimplify", "[", RowBox[{"Solve", "[", RowBox[{"goniom", ",", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}]}], "]"}], "]"}]], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", \(-\(\@\(1 - \(Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\(Kz1\^2 + \ Kz2\^2\)\)\/\@\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\/\(Kz1\^2 + \ Kz2\^2\)\)\)\)}], "}"}], ",", RowBox[{"{", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", \(\@\(1 - \(Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\(Kz1\^2 + Kz2\ \^2\)\)\/\@\(\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^4\/\(Kz1\^2 + Kz2\^2\)\)\)}], "}"}]}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ assumendo le onde come non regressive, z'(\[Tau]) potr\[AGrave] scegliersi \ come : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(PowerExpand[%[\([2, 1, 2]\)]]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\@\(Kz1\^2 + Kz2\^2\)\ \@\(1 - \(Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\(Kz1\^2 \ + Kz2\^2\)\)\)\/\((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)], "Output", FontSize->24] }, Open ]], Cell[BoxData[ FormBox[ RowBox[{"\[IndentingNewLine]", RowBox[{ RowBox[{"cio\[EGrave]", " ", RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "(", "\[Tau]", ")"}]}], "=", \(\(\@\(Kz1\^2 + Kz2\^2 - Ky\^2\ \(tan\^2\) \ \(z(\[Tau])\)\)\/\([\[Sigma]\ sin\ \(t(\[Tau])\) + 1]\)\^\(\(\ \)\(2\)\)\)\(\ \ \)\(.\)\)}]}], TraditionalForm]], "Text", FontSize->24], Cell["\<\ Considerando la forma di queste espressioni, \[EGrave], inoltre, possibile \ porre ovunque :\ \>", "Text", FontSize->24], Cell[BoxData[ \(TraditionalForm\`\(\(\t\t\t\t\)\(Kz\^2 = Kz1\^2 + Kz2\^2\)\)\)], "Text",\ FontSize->24], Cell["\<\ Il sistema finale in (x, y, z, t) : \ \>", "Text", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{\(Eq[1]\), "=", RowBox[{ RowBox[{ SuperscriptBox["x", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(Kx\ \(1 + \[Sigma]\ Sin[t[\[Tau]]]\)\/\(1 - \[Sigma]\ \ Sin[t[\[Tau]]]\)\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[2]\), "=", RowBox[{ RowBox[{ SuperscriptBox["y", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(Ky\ Sec[z[\[Tau]]]\^2\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^2\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[3]\), "=", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(\@\(Kz\^2 - Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^2\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[4]\), "=", RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Equal]", \(\@\(Kx\^2\/Cos[t[\[Tau]]]\^2 + \(Ky\^2 + Kz\^2 - \ \[ScriptCapitalN]\ \((1 + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^4\)\)}]}], ";"}]}], "Input", FontSize->24], Cell["\<\ In funzione delle coordinate nulle (u, v) : \ \>", "Text", FontSize->24], Cell[BoxData[ \(z[\[Tau]_] := v[\[Tau]] - u[\[Tau]]\)], "Input", FontSize->24], Cell[BoxData[ \(t[\[Tau]_] := u[\[Tau]] + v[\[Tau]]\)], "Input", FontSize->24], Cell["\<\ Eq[3], Eq[4] diventano : \ \>", "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[ Solve[{Eq[3], Eq[4]}, {\(u'\)[\[Tau]], \(v'\)[\[Tau]]}]]\)], "Input", FontSize->24], Cell[BoxData[ RowBox[{"{", RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["u", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", \(1\/2\ \((\@\(Kx\^2\ Sec[u[\[Tau]] + v[\[Tau]]]\^2 + \ \(Ky\^2 + Kz\^2 - \[ScriptCapitalN]\ \((1 + \[Sigma]\ Sin[u[\[Tau]] + \ v[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^4\) - \ \@\(Kz\^2 - Ky\^2\ Tan[u[\[Tau]] - v[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ Sin[u[\ \[Tau]] + v[\[Tau]]])\)\^2)\)\)}], ",", RowBox[{ RowBox[{ SuperscriptBox["v", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Rule]", \(1\/2\ \((\@\(Kx\^2\ Sec[u[\[Tau]] + v[\[Tau]]]\^2 + \ \(Ky\^2 + Kz\^2 - \[ScriptCapitalN]\ \((1 + \[Sigma]\ Sin[u[\[Tau]] + \ v[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^4\) + \ \@\(Kz\^2 - Ky\^2\ Tan[u[\[Tau]] - v[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ Sin[u[\ \[Tau]] + v[\[Tau]]])\)\^2)\)\)}]}], "}"}], "}"}]], "Output", FontSize->24] }, Open ]], Cell["\<\ e questa \[EGrave] la forma che pu\[OGrave] essere usata per l'analisi \ numerica in Zona I, saldandosi con quella in Zona II, naturalmente derivata \ dalla dipendenza delle equazioni da (x, y, u, v).\ \>", "Text", FontSize->24] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Limiti utili \ \>", "Subsubsection", FontSize->24], Cell["\<\ in (z, t) : \ \>", "Text", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{\(Eq[3]\), "=", RowBox[{ RowBox[{ SuperscriptBox["z", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(\@\(Kz\^2 - Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^2\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[4]\), "=", RowBox[{ RowBox[{ SuperscriptBox["t", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "\[Equal]", \(\@\(Kx\^2\/Cos[t[\[Tau]]]\^2 + \(Ky\^2 + Kz\^2 + \((1 \ + \[Sigma]\ Sin[t[\[Tau]]])\)\^2\)\/\((1 + \[Sigma]\ \ Sin[t[\[Tau]]])\)\^4\)\)}]}], ";"}]}], "Input", FontSize->24], Cell[TextData[{ "\n", Cell[BoxData[ \(TraditionalForm\`lim\+\(\(\ \)\(t \[Rule] \ \[Pi]/\(2\^-\)\)\)dz\/dt\)]], " con le sostituzioni (necessarie agli algoritmi di calcolo) Kx\[Rule]K, \ \[Sigma]\[Rule]\[CapitalSigma] :\n" }], "Text", FontSize->24], Cell[BoxData[ \(Lzt[K_, \[CapitalSigma]_] := FullSimplify[ Limit[Limit[\((Last[Eq[3]]/ Last[Eq[4]])\) /. \[Sigma] \[Rule] \[CapitalSigma], Kx \[Rule] K], t[\[Tau]] \[Rule] \[Pi]/2]]\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Lzt[0, 1]\)], "Input", FontSize->24], Cell[BoxData[ \(\@\(Kz\^2 - Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\@\(4 + Ky\^2 + Kz\^2\)\)], \ "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Lzt[K, 1]\)], "Input", FontSize->24], Cell[BoxData[ \(0\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Lzt[0, \(-1\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\@\(Kz\^2 - Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\@\(Ky\^2 + Kz\^2\)\)], "Output",\ FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Lzt[K, \(-1\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\@\(Kz\^2 - Ky\^2\ Tan[z[\[Tau]]]\^2\)\/\@\(Ky\^2 + Kz\^2\)\)], "Output",\ FontSize->24] }, Open ]], Cell["\<\ in (u, v) : \ \>", "Text", FontSize->24], Cell[BoxData[{ RowBox[{ RowBox[{\(Eq[3]\), "=", RowBox[{ RowBox[{ SuperscriptBox["u", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(1\/2\ \((\@\(Kx\^2\ Sec[u[\[Tau]] + v[\[Tau]]]\^2 + \(Ky\^2 \ + Kz\^2 + \((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^2\)\/\((1 + \ \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^4\) - \@\(Kz\^2 - Ky\^2\ \ Tan[u[\[Tau]] - v[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\ \)\^2)\)\)}]}], ";"}], "\[IndentingNewLine]", RowBox[{ RowBox[{\(Eq[4]\), "=", RowBox[{ RowBox[{ SuperscriptBox["v", "\[Prime]", MultilineFunction->None], "[", "\[Tau]", "]"}], "==", \(1\/2\ \((\@\(Kx\^2\ Sec[u[\[Tau]] + v[\[Tau]]]\^2 + \(Ky\^2 \ + Kz\^2 + \((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^2\)\/\((1 + \ \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\)\^4\) + \@\(Kz\^2 - Ky\^2\ \ Tan[u[\[Tau]] - v[\[Tau]]]\^2\)\/\((1 + \[Sigma]\ Sin[u[\[Tau]] + v[\[Tau]]])\ \)\^2)\)\)}]}], ";"}]}], "Input", FontSize->24], Cell[TextData[{ "\n", Cell[BoxData[ \(TraditionalForm\`lim\+\(\(\ \)\(v \[Rule] \(0\^+\)\)\)du\/dv\)]], ":\n" }], "Text", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Simplify[ Last[Eq[3]]\/Last[Eq[4]] /. {v[\[Tau]] \[Rule] 0, u[\[Tau]] \[Rule] u}]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\@\(Kx\^2\ Sec[u]\^2 + \(Ky\^2 + Kz\^2 + \((1 + \[Sigma]\ \ Sin[u])\)\^2\)\/\((1 + \[Sigma]\ Sin[u])\)\^4\) - \@\(Kz\^2 - Ky\^2\ \ Tan[u]\^2\)\/\((1 + \[Sigma]\ Sin[u])\)\^2\)\/\(\@\(Kx\^2\ Sec[u]\^2 + \ \(Ky\^2 + Kz\^2 + \((1 + \[Sigma]\ Sin[u])\)\^2\)\/\((1 + \[Sigma]\ Sin[u])\)\ \^4\) + \@\(Kz\^2 - Ky\^2\ Tan[u]\^2\)\/\((1 + \[Sigma]\ Sin[u])\)\^2\)\)], \ "Output", FontSize->24] }, Open ]], Cell[TextData[{ "\n", Cell[BoxData[ \(TraditionalForm\`lim\+\(\(\ \)\(u + v \[Rule] \[Pi]/2\)\)du\/dv\)]], " con Kx\[Rule]K, \[Sigma]\[Rule]\[CapitalSigma] :\n" }], "Text", FontSize->24], Cell[BoxData[ \(Luv[K_, \[CapitalSigma]_] := FullSimplify[ Limit[Limit[\((Last[Eq[3]]/ Last[Eq[4]])\) /. \[Sigma] \[Rule] \[CapitalSigma], Kx \[Rule] K], v[\[Tau]] \[Rule] \[Pi]/2 - u[\[Tau]]]]\)], "Input",\ FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(Luv[0, 1]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\@\(4 + Ky\^2 + Kz\^2\) - \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\ \/\(\@\(4 + Ky\^2 + Kz\^2\) + \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\)], \ "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Luv[K, 1]\)], "Input", FontSize->24], Cell[BoxData[ \(1\)], "Output", FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Luv[0, \(-1\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\@\(Ky\^2 + Kz\^2\) - \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\/\(\ \@\(Ky\^2 + Kz\^2\) + \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\)], "Output",\ FontSize->24] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(Luv[K, \(-1\)]\)], "Input", FontSize->24], Cell[BoxData[ \(\(\@\(Ky\^2 + Kz\^2\) - \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\/\(\ \@\(Ky\^2 + Kz\^2\) + \@\(Kz\^2 - Ky\^2\ Cot[2\ u[\[Tau]]]\^2\)\)\)], "Output",\ FontSize->24] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Analisi grafica globale \ \>", "Subsection", FontSize->24], Cell[CellGroupData[{ Cell["\<\ Preliminari \ \>", "Subsubsection", FontSize->24], Cell["\<\ Eliminazione di messaggi inutili : \ \>", "Text", FontSize->24], Cell[BoxData[ \(\(Off[InterpolatingFunction::dmval, NDSolve::mxst, NDSolve::ndsz, Part::partd, Part::partw, \[Infinity]::indet];\)\)], "Input", FontSize->24], Cell["\<\ In entrambe le regioni, le equazioni per du/d\[Tau], dv/d\[Tau] si intendono \ divise membro a membro, in modo da ottenere le espressioni di du/dv : \ \>", "Text", FontSize->24], Cell[BoxData[ \(Z1[v_] := \(\@\(Kx\^2\/\(1 - Sin[u[v] + v]\^2\) + \(Ky\^2 + Kz\^2 + \ \((1 + \[Sigma]\ Sin[u[v] + v])\)\^2\)\/\((1 + \[Sigma]\ Sin[u[v] + \ v])\)\^4\) - \@\(Kz\^2 - Ky\^2\ Tan[u[v] - v]\^2\)\/\((1 + \[Sigma]\ Sin[u[v] \ + v])\)\^2\)\/\(\@\(Kx\^2\/\(1 - Sin[u[v] + v]\^2\) + \(Ky\^2 + Kz\^2 + \((1 \ + \[Sigma]\ Sin[u[v] + v])\)\^2\)\/\((1 + \[Sigma]\ Sin[u[v] + v])\)\^4\) + \ \@\(Kz\^2 - Ky\^2\ Tan[u[v] - v]\^2\)\/\((1 + \[Sigma]\ Sin[u[v] + v])\)\^2\)\ \)], "Input", FontSize->24], Cell[BoxData[ \(Z2[v_] := Ku\^2\/\(\((1 + \[Sigma]\ Sin[u[v]])\)\^2\ \((\(Kx\^2\) \(1 + \[Sigma]\ \ Sin[u[v]]\)\/\(1 - \[Sigma]\ Sin[u[v]]\) + \(Ky\^2\) Sec[u[v]]\^2\/\((1 + \ \[Sigma]\ Sin[u[v]])\)\^2 + 1)\)\)\)], "Input", FontSize->24], Cell[TextData[{ "\nCreazione di una funzione i cui valori sono i limiti di Z1 for v\[Rule]0 \ per ogni 0"Italic"], " :\n" }], "Text", FontSize->24], Cell[BoxData[ \(\(Fr[u_] = \((Z1[v] /. u[v] \[Rule] u)\) /. v \[Rule] 0;\)\)], "Input", FontSize->24], Cell[TextData[{ "\nQuesta semplice routine sostituisce ", StyleBox["FindRoot", FontWeight->"Bold"], " di ", StyleBox["Mathematica", FontSlant->"Italic"], " che non ottiene i valori all'orizzonte di v in Regione I per tutte le \ geodetiche. E' valida solo laddove v(\[Tau]) \[EGrave] monot\[OGrave]na \ crescente :\n" }], "Text", FontSize->24], Cell[BoxData[ \(RootCalc[h_, d_, e_] := \((a = d; b = e; Do[c = \((a + b)\)/2; If[Re[h[c]] > 0, b = c, a = c], {50}]; Return[c])\)\)], "Input", FontSize->24], Cell[TextData[{ "\nLa routine principale, che dipende da tutti i parametri liberi del \ problema (la natura della linea critica t=\[Pi]/2 con \[Sigma]\[Element]{-1, \ 1}, i momenti sul fronte d'onda ", Cell[BoxData[ \(TraditionalForm\`K\_x\)]], " e ", Cell[BoxData[ \(TraditionalForm\`K\_y\)]], " (reali), i valori scelti per ", Cell[BoxData[ \(TraditionalForm\`K\_u\)]], "\[Element](-\[Infinity], 0) -legati alla velocit\[AGrave] iniziale lungo \ ", StyleBox["z", FontSlant->"Italic"], " della particella-, il numero di tali valori, ", StyleBox["Num", FontSlant->"Italic"], "); vengono calcolate le soluzioni numeriche del sistema {(u'=Z2) \[Union] \ (u'=Z1)} dando a ", Cell[BoxData[ \(TraditionalForm\`K\_z\)]], " il valore (calcolato da ", StyleBox["CondKz", FontSlant->"Italic"], ") che rende le geodetiche ", Cell[BoxData[ \(TraditionalForm\`C\^1\)]], " in v=0; ", StyleBox["Lim", FontSlant->"Italic"], " \[EGrave] calcolato per tracciare le geodetiche fino e non oltre \ t=\[Pi]/2, rappresentato dalla funzione ", StyleBox["Hor", FontSlant->"Italic"], "(", StyleBox["v", FontSlant->"Italic"], ").\n" }], "Text", FontSize->24], Cell[BoxData[ RowBox[{\(NumericCalculation[\[Sigma]_, Kx_, Ky_, KuRange_, Num_]\), ":=", RowBox[{"{", "\[IndentingNewLine]", RowBox[{ RowBox[{\(f2[v_]\), ":=", RowBox[{"Evaluate", "[", RowBox[{\(u[v]\), "/.", RowBox[{"Table", "[", RowBox[{ RowBox[{"NDSolve", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["u", "\[Prime]", MultilineFunction->None], "[", "v", "]"}], "\[Equal]", \(Z2[v]\)}], "/.", \(Ku -> KuRange[\([n]\)]\)}], ",", \(u[\(-\(\[Pi]\/2\)\)] \[Equal] 0\)}], "}"}], ",", \(u[v]\), ",", \({v, \(-\(\[Pi]\/2\)\), 0}\)}], "]"}], ",", \({n, Num}\)}], "]"}]}], "]"}]}], ";", "\[IndentingNewLine]", \(CondKz = Table[\(Solve[\(Fr[f2[0]]\)[\([n, 1]\)] == \(\(f2'\)[0]\)[\([n, 1]\)], Kz]\)[\([2, 1, 2]\)], {n, Num}]\), ";", "\[IndentingNewLine]", RowBox[{\(f1[v_]\), ":=", RowBox[{"Evaluate", "[", RowBox[{\(u[v]\), "/.", RowBox[{"Table", "[", RowBox[{ RowBox[{"NDSolve", "[", RowBox[{ RowBox[{"{", RowBox[{ RowBox[{ RowBox[{ RowBox[{ SuperscriptBox["u", "\[Prime]", MultilineFunction->None], "[", "v", "]"}], "\[Equal]", \(Z1[v]\)}], "/.", \(Kz -> CondKz[\([n]\)]\)}], ",", \(u[0] \[Equal] \(f2[0]\)[\([n, 1]\)]\)}], "}"}], ",", \(u[v]\), ",", \({v, 0, \[Pi]\/2}\)}], "]"}], ",", \({n, Num}\)}], "]"}]}], "]"}]}], ";", "\[IndentingNewLine]", \(Hor[v_] = Table[v + \(f1[v]\)[\([n, 1]\)] - \[Pi]\/2, {n, Num}]\), ";", "\[IndentingNewLine]", \(Lim = Flatten[Table[h[w_] = \(Hor[w]\)[\([n]\)]; RootCalc[h, 0, 1.6], {n, Num}]]\)}], "}"}]}]], "Input", FontSize->24] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Metriche con orizzonte \ \>", "Subsubsection", FontSize->24], Cell[TextData[{ "Caricamento di un pacchetto di comandi grafici pi\[UGrave] flessibile \ rispetto al classico \"Show\" di ", StyleBox["Mathematica", FontSlant->"Italic"], " (http://home.earthlink.net/~djmp/Mathematica.html) :\n" }], "Text", FontSize->24], Cell[BoxData[ \(<< DrawGraphics`DrawingMaster`\)], "Input", FontSize->24], Cell["\<\ (0, 0) (codice generatore soppresso negli altri casi) : \ \>", "Text", FontSize->24], Cell[BoxData[{ \(\(\[Sigma] = 1;\)\), "\[IndentingNewLine]", \(\(Kx = 0;\)\), "\[IndentingNewLine]", \(\(Ky = 0;\)\), "\[IndentingNewLine]", \(\(CritKu = \(-1.6653\);\)\), "\[IndentingNewLine]", \(\(KuRange = {\(2\/10\) CritKu, \(6\/10\) CritKu, CritKu, \(15\/10\) CritKu};\)\), "\[IndentingNewLine]", \(\(Num = 4;\)\)}], "Input", FontSize->24], Cell[BoxData[ \(\(NumericCalculation[\[Sigma], Kx, Ky, KuRange, Num];\)\)], "Input", FontSize->24], Cell[CellGroupData[{ Cell[BoxData[ \(\(Show[ Graphics[{\[IndentingNewLine]Table[{Draw[\(f2[ v]\)[\([n]\)], {v, \(-\(\[Pi]\/2\)\), 0}], Draw[\(f1[v]\)[\([n]\)], {v, 0, Lim[\([n]\)]}]}, {n, Num}], Line[{{0, \[Pi]/2}, {\[Pi]/2, 0}}], \[IndentingNewLine]Text[\*"\"\<0.2 \ \!\(K\_v\%lim\)\>\"", {1.4, .4}, TextStyle \[Rule] {FontSize \[Rule] 9, FontSlant \[Rule] Oblique}], \[IndentingNewLine]Text[\*"\"\<0.6 \ \!\(K\_v\%lim\)\>\"", { .8, 1.05}, TextStyle \[Rule] {FontSize \[Rule] 9, FontSlant \[Rule] Oblique}], \[IndentingNewLine]Text[\*"\"\<1.5 \ \!\(K\_v\%lim\)\>\"", {\(-1.15\), 1.5}, TextStyle \[Rule] {FontSize \[Rule] 9, FontSlant \[Rule] Oblique}], \[IndentingNewLine]Text[\*"\"\<\!\(K\_v\%lim\)\ \>\"", {\(- .25\), 1.5}, TextStyle \[Rule] {FontSize \[Rule] 9, FontSlant \[Rule] Oblique}], \ \[IndentingNewLine]Text[\*"\"\\"", {1, .8}]}], \ \[IndentingNewLine]AspectRatio \[Rule] 1/2, PlotRange \[Rule] {{\(-\[Pi]\)/2, \[Pi]/2}, {0, \[Pi]/2}}, Background -> White, TextStyle \[Rule] {FontSize \[Rule] 11}, {Axes -> True, AxesOrigin -> {0, 0}, AxesLabel\ -> \ {"\", "\"}}, ImageSize \[Rule] 580];\)\)], "Input", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .5 Mabswid 0 0 m .02028 .00223 L .0424 .00464 L .06318 .00686 L .08316 .00897 L .10443 .01119 L .1249 .01329 L .14666 .0155 L .16762 .0176 L .18779 .0196 L .20924 .0217 L .2299 .0237 L .24976 .02559 L .27092 .02759 L .29127 .02949 L .31291 .03149 L .33376 .0334 L .35381 .03521 L .37515 .03712 L .39569 .03894 L .41752 .04086 L .43856 .04268 L .4588 .04442 L .48033 .04625 L .5 .04791 L s .5 .04791 m .51589 .04929 L .53322 .05093 L .54949 .05257 L .56514 .05427 L .5818 .05618 L .59784 .05813 L .61488 .06033 L .6313 .06255 L .6471 .06479 L .66391 .06727 L .68009 .06976 L .69565 .07224 L .71222 .07496 L .72817 .07766 L .74512 .08061 L .76145 .08353 L .77716 .08638 L .79387 .08948 L .80997 .09251 L .82707 .09577 L .84354 .09895 L .8594 .10202 L .87626 .10531 L .89167 .10833 L s 0 0 m .02028 .01908 L .0424 .0377 L .06318 .05358 L .08316 .06768 L .10443 .08165 L .1249 .09427 L .14666 .10691 L .16762 .11845 L .18779 .12904 L .20924 .13982 L .2299 .14977 L .24976 .159 L .27092 .16848 L .29127 .17731 L .31291 .18642 L .33376 .19493 L .35381 .20289 L .37515 .21116 L .39569 .21892 L .41752 .22698 L .43856 .23457 L .4588 .24173 L .48033 .24919 L .5 .25589 L s .5 .25589 m .50722 .25834 L .5151 .26105 L .52249 .26362 L .5296 .26611 L .53717 .2688 L .54446 .27141 L .55221 .27421 L .55967 .27693 L .56685 .27956 L .57449 .28239 L .58184 .28513 L .58891 .28777 L .59644 .29061 L .60369 .29336 L .61139 .29629 L .61882 .29912 L .62595 .30186 L .63355 .30478 L .64086 .3076 L .64864 .31061 L .65612 .31351 L .66333 .31631 L .67099 .31928 L .678 .322 L s 0 0 m .02028 .0485 L .0424 .08997 L .06318 .12265 L .08316 .15029 L .10443 .1768 L .1249 .20019 L .14666 .22326 L .16762 .24411 L .18779 .26312 L .20924 .28242 L .2299 .30025 L .24976 .3168 L .27092 .33388 L .29127 .34987 L .31291 .36646 L .33376 .38209 L .35381 .39686 L .37515 .41234 L .39569 .42705 L .41752 .44251 L .43856 .45727 L .4588 .47139 L .48033 .48635 L .5 .5 L s .5 .5 m .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L .5 .5 L s 0 0 m .00987 .0525 L .02028 .09539 L .0424 .16587 L .06238 .21675 L .08365 .26352 L .10412 .30394 L .12588 .34361 L .14684 .37959 L .16701 .41279 L .18847 .4471 L .20913 .47955 L s .20913 .47955 m .22223 .5 L s .5 .5 m 1 0 L s gsave .94563 .12732 -83.6563 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 85.250 13.000 moveto (K) show 90.813 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 92.000 9.375 moveto (lim) show 104.313 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .75465 .33423 -83.7813 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 85.500 13.000 moveto (K) show 91.063 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 92.250 9.375 moveto (lim) show 104.563 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .13394 .47746 -83.6563 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 85.250 13.000 moveto (K) show 90.813 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 92.000 9.375 moveto (lim) show 104.313 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .42042 .47746 -72.5313 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 9.375 moveto (lim) show 82.063 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .81831 .25465 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{831, 415.5}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`030000003oool0oooo0?l0ooooD@3oool00`000000oooo0?oo o`1H0?ooo`40fMWI000/0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool03@3oool0 0`000000oooo0?ooo`2n0?ooo`/00000P`3oool00`000000oooo0?ooo`3o0?oooe00oooo00<00000 0?ooo`3oool0F@3oool10=WIf@00;03oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo 00d0oooo00<000000?ooo`3oool0b03oool8000007/0oooo0`0000000d000000oooo0?ooo`3o0?oo od`0oooo00<000000?ooo`3oool0FP3oool10=WIf@00;03oool00`000000oooo0?ooo`030?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool0c`3oool;00000700oooo00<000000?ooo`3o ool0o`3ooom>0?ooo`030000003oool0oooo05/0oooo0@3IfMT002d0oooo00<000000?ooo`3oool0 0`3oool00`000000oooo0?ooo`0>0?ooo`800000fP3oool;000006D0oooo00<000000?ooo`3oool0 o`3ooom=0?ooo`030000003oool0oooo05`0oooo0@3IfMT002d0oooo00<000000?ooo`3oool00`3o ool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0>80oooo2000001M0?ooo`030000003o ool0oooo0?l0ooooC03oool00`000000oooo0?ooo`1M0?ooo`40fMWI000]0?ooo`030000003oool0 oooo00@0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3Y0?ooo`/00000DP3oool0 0`000000oooo0?ooo`3o0?oood/0oooo00<000000?ooo`3oool0GP3oool10=WIf@00;@3oool00`00 0000oooo0?ooo`040?ooo`030000003oool0oooo0140oooo0P00003d0?ooo`l00000@`3oool00`00 0000oooo0?ooo`3o0?ooodX0oooo00<000000?ooo`3oool0G`3oool10=WIf@00;@3oool00`000000 oooo0?ooo`040?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0o`3oool10?ooo``0 0000=`3oool00`000000oooo0?ooo`3o0?ooodT0oooo00<000000?ooo`3oool0H03oool10=WIf@00 ;P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0 o`3oool<0?ooo`P00000;`3oool00`000000oooo0?ooo`3o0?ooodP0oooo00<000000?ooo`3oool0 H@3oool10=WIf@00;P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo01@0oooo0P00 003o0?oooa@0oooo2P00000U0?ooo`030000003oool0oooo0?l0ooooA`3oool00`000000oooo0?oo o`1R0?ooo`40fMWI000^0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool05@3oool0 0`000000oooo0?ooo`3o0?oooa/0oooo3`00000F0?ooo`030000003oool0oooo0?l0ooooAP3oool0 0`000000oooo0?ooo`1S0?ooo`40fMWI000^0?ooo`030000003oool0oooo00D0oooo00<000000?oo o`3oool05P3oool00`000000oooo0?ooo`3o0?ooobT0oooo3`0000070?ooo`030000003oool0oooo 0?l0ooooA@3oool00`000000oooo0?ooo`1T0?ooo`40fMWI000^0?ooo`030000003oool0oooo00H0 oooo00<000000?ooo`3oool05P3oool200000?l0oooo>03oool=00000?l0oooo@@3oool00`000000 oooo0?ooo`1U0?ooo`40fMWI000^0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0 603oool00`000000oooo0?ooo`3o0?oooc`0oooo00<000000?ooo`3oool00`3oool<00000?l0oooo =03oool00`000000oooo0?ooo`1V0?ooo`40fMWI000_0?ooo`030000003oool0oooo00H0oooo00<0 00000?ooo`3oool0603oool00`000000oooo0?ooo`3o0?oooc/0oooo00<000000?ooo`3oool03`3o ool900000?l0oooo:P3oool00`000000oooo0?ooo`1W0?ooo`40fMWI000_0?ooo`030000003oool0 oooo00H0oooo00<000000?ooo`3oool06@3oool200000?l0oooo>`3oool00`000000oooo0?ooo`0H 0?ooo`H00000o`3ooolS0?ooo`030000003oool0oooo06P0oooo0@3IfMT002l0oooo00<000000?oo o`3oool01`3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo0?l0oooo>03oool00`00 0000oooo0?ooo`0N0?ooo`T00000o`3ooolI0?ooo`030000003oool0oooo06T0oooo0@3IfMT002l0 oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0?l0 oooo=`3oool00`000000oooo0?ooo`0W0?ooo`/00000o`3oool=0?ooo`030000003oool0oooo06X0 oooo0@3IfMT00300oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0K0?ooo`800000 o`3ooolg0?ooo`030000003oool0oooo0380oooo2@00003o0?ooo`<0oooo00<000000?ooo`3oool0 J`3oool10=WIf@00<03oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo01d0oooo00<0 00000?ooo`3oool0o`3ooold0?ooo`030000003oool0oooo03/0oooo1P00003k0?ooo`030000003o ool0oooo06`0oooo0@3IfMT00300oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0M 0?ooo`030000003oool0oooo0?l0oooo<`3oool00`000000oooo0?ooo`110?ooo`T00000l@3oool0 0`000000oooo0?ooo`1]0?ooo`40fMWI000`0?ooo`030000003oool0oooo00P0oooo00<000000?oo o`3oool07P3oool00`000000oooo0?ooo`3o0?oooc80oooo00<000000?ooo`3oool0BP3oool90000 0>L0oooo00<000000?ooo`3oool0KP3oool10=WIf@00<@3oool00`000000oooo0?ooo`080?ooo`03 0000003oool0oooo01h0oooo0P00003o0?oooaD0oooo0d0000040?ooo`900000103oool5@00000/0 oooo00<000000?ooo`3oool0D`3oool600000>00oooo00<000000?ooo`3oool0K`3oool10=WIf@00 <@3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0 o`3ooolA0?ooo`05@000003oool0oooo0?oood0000002@3oool00d000000oooo0?ooo`0=0?ooo`03 0000003oool0oooo05T0oooo2@00003F0?ooo`030000003oool0oooo0700oooo0@3IfMT00340oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0?l0oooo 403oool01D000000oooo0?ooo`3ooom0000000X0oooo00=000000?ooo`3oool0303oool500000003 @000003oool0oooo05d0oooo2000003=0?ooo`030000003oool0oooo0740oooo0@3IfMT00340oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0Q0?ooo`800000o`3oool@0?ooo`05@000 003oool0oooo0?oood0000002`3oool00d000000oooo0?ooo`0;0?ooo`030000003oool0oooo06X0 oooo1P0000360?ooo`030000003oool0oooo0780oooo0@3IfMT00380oooo00<000000?ooo`3oool0 2@3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo0?l0oooo3@3oool01D000000oooo 0?ooo`3ooom0000000`0oooo00=000000?ooo`3oool02P3oool00`000000oooo0?ooo`1`0?ooo`H0 0000_`3oool00`000000oooo0?ooo`1c0?ooo`40fMWI000b0?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`3o0?ooo``0oooo00E000000?ooo`3oool0 oooo@00000090?ooo`05@000003oool0oooo0?oood0000002`3oool00`000000oooo0?ooo`1f0?oo o`H00000^03oool00`000000oooo0?ooo`1d0?ooo`40fMWI000b0?ooo`030000003oool0oooo00X0 oooo00<000000?ooo`3oool08`3oool200000?l0oooo3@3oool3@00000/0oooo0d00000<0?ooo`03 0000003oool0oooo07`0oooo1P00002a0?ooo`030000003oool0oooo07D0oooo0@3IfMT00380oooo 00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo0?l0oooo 9`3oool00`000000oooo0?ooo`220?ooo`H00000ZP3oool00`000000oooo0?ooo`1f0?ooo`40fMWI 000c0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool09@3oool200000?l0oooo9`3o ool00`000000oooo0?ooo`280?ooo`D00000Y03oool00`000000oooo0?ooo`1g0?ooo`40fMWI000c 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool09P3oool00`000000oooo0?ooo`3o 0?ooob@0oooo00<000000?ooo`3oool0S@3oool6000009d0oooo00<000000?ooo`3oool0N03oool1 0=WIf@00<`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo02L0oooo0P00003o0?oo ob@0oooo00<000000?ooo`3oool0T`3oool6000009H0oooo00<000000?ooo`3oool0N@3oool10=WI f@00=03oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3o ool0o`3ooolQ0?ooo`030000003oool0oooo09T0oooo1P00002?0?ooo`030000003oool0oooo07X0 oooo0@3IfMT003@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0Y0?ooo`800000 o`3ooolQ0?ooo`030000003oool0oooo09l0oooo1P0000280?ooo`030000003oool0oooo07/0oooo 0@3IfMT003@0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0Z0?ooo`030000003o ool0oooo0?l0oooo7P3oool300000003@000003oool0oooo0:80oooo1P0000210?ooo`030000003o ool0oooo07`0oooo0@3IfMT003@0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0[ 0?ooo`800000o`3ooolN0?ooo`030000003oool0oooo0:/0oooo1P00001j0?ooo`030000003oool0 oooo07d0oooo0@3IfMT003D0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0/0?oo o`030000003oool0oooo0?l0oooo6`3oool00`000000oooo0?ooo`2a0?ooo`H00000L`3oool00`00 0000oooo0?ooo`1n0?ooo`40fMWI000e0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3o ool0;@3oool200000?l0oooo6`3oool00`000000oooo0?ooo`2g0?ooo`D00000K@3oool00`000000 oooo0?ooo`1o0?ooo`40fMWI000e0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0 ;P3oool200000?l0oooo6@3oool00`000000oooo0?ooo`2l0?ooo`H00000IP3oool00`000000oooo 0?ooo`200?ooo`40fMWI000e0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0<03o ool00`000000oooo0?ooo`3o0?oooaH0oooo00<000000?ooo`3oool0`P3oool6000005l0oooo00<0 00000?ooo`3oool0P@3oool10=WIf@00=P3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0 oooo0300oooo0P00003o0?oooaH0oooo00<000000?ooo`3oool0b03oool6000005P0oooo00<00000 0?ooo`3oool0PP3oool10=WIf@00=P3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo 0380oooo0P00003o0?oooa@0oooo00<000000?ooo`3oool0cP3oool600000540oooo00<000000?oo o`3oool0P`3oool10=WIf@00=P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo03<0 oooo00<000000?ooo`3oool0o`3ooolA0?ooo`030000003oool0oooo0=@0oooo1P00001:0?ooo`03 0000003oool0oooo08@0oooo0@3IfMT003H0oooo00<000000?ooo`3oool03`3oool00`000000oooo 0?ooo`0c0?ooo`800000o`3ooolA0?ooo`030000003oool0oooo0=X0oooo1@0000140?ooo`030000 003oool0oooo08D0oooo0@3IfMT003L0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0e0?ooo`800000o`3oool?0?ooo`030000003oool0oooo0=l0oooo1000000o0?ooo`030000003o ool0oooo08H0oooo0@3IfMT003L0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0f 0?ooo`030000003oool0oooo0?l0oooo303oool00`000000oooo0?ooo`3S0?ooo`@00000>P3oool0 0`000000oooo0?ooo`270?ooo`40fMWI000g0?ooo`030000003oool0oooo0100oooo00<000000?oo o`3oool0=P3oool200000?l0oooo303oool300000003@000003oool0oooo0>@0oooo1@00000d0?oo o`030000003oool0oooo08P0oooo0@3IfMT003P0oooo00<000000?ooo`3oool03`3oool00`000000 oooo0?ooo`0h0?ooo`800000o`3oool:0?ooo`030000003oool0oooo0>`0oooo1P00000]0?ooo`03 0000003oool0oooo08T0oooo0@3IfMT003P0oooo00<000000?ooo`3oool0403oool00`000000oooo 0?ooo`0i0?ooo`800000o`3oool80?ooo`030000003oool0oooo0?80oooo1@00000W0?ooo`030000 003oool0oooo08X0oooo0@3IfMT003P0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?oo o`0j0?ooo`030000003oool0oooo0?l0oooo1@3oool00`000000oooo0?ooo`3g0?ooo`H00000803o ool00`000000oooo0?ooo`2;0?ooo`40fMWI000i0?ooo`030000003oool0oooo0100oooo00<00000 0?ooo`3oool0>`3oool200000?l0oooo1@3oool00`000000oooo0?ooo`3m0?ooo`D000006P3oool0 0`000000oooo0?ooo`2<0?ooo`40fMWI000i0?ooo`030000003oool0oooo0140oooo00<000000?oo o`3oool0?03oool200000?l0oooo0`3oool00`000000oooo0?ooo`3o0?ooo`<0oooo1000000E0?oo o`030000003oool0oooo08d0oooo0@3IfMT003T0oooo00<000000?ooo`3oool04P3oool00`000000 oooo0?ooo`0m0?ooo`800000o`3oool10?ooo`030000003oool0oooo0?l0oooo1`3oool400000100 oooo00<000000?ooo`3oool0SP3oool10=WIf@00>P3oool00`000000oooo0?ooo`0A0?ooo`030000 003oool0oooo03l0oooo0P00003n0?ooo`030000003oool0oooo0?l0oooo2`3oool5000000X0oooo 00<000000?ooo`3oool0S`3oool10=WIf@00>P3oool00`000000oooo0?ooo`0B0?ooo`030000003o ool0oooo0400oooo00<000000?ooo`3oool0n`3oool00`000000oooo0?ooo`3o0?oooa00oooo1P00 00030?ooo`030000003oool0oooo0900oooo0@3IfMT003X0oooo00<000000?ooo`3oool04P3oool0 0`000000oooo0?ooo`110?ooo`800000n`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0`00002C 0?ooo`40fMWI000j0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0@P3oool20000 0?T0oooo00<000000?ooo`3oool0o`3ooolG0?ooo`030000003oool0oooo0980oooo0@3IfMT003/0 oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`130?ooo`800000m`3oool300000003 @000003oool0oooo0?l0oooo4`3oool00`000000oooo0?ooo`2C0?ooo`40fMWI000k0?ooo`030000 003oool0oooo01<0oooo00<000000?ooo`3oool0A@3oool200000?D0oooo00<000000?ooo`3oool0 o`3ooolE0?ooo`030000003oool0oooo09@0oooo0@3IfMT003/0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`160?ooo`800000l`3oool00`000000oooo0?ooo`3o0?oooa@0oooo00<0 00000?ooo`3oool0U@3oool10=WIf@00?03oool00`000000oooo0?ooo`0D0?ooo`030000003oool0 oooo04L0oooo0P00003a0?ooo`030000003oool0oooo0?l0oooo4`3oool00`000000oooo0?ooo`2F 0?ooo`40fMWI000l0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0B@3oool20000 0>l0oooo00<000000?ooo`3oool0o`3ooolB0?ooo`030000003oool0oooo09L0oooo0@3IfMT003`0 oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`1:0?ooo`030000003oool0oooo0>`0 oooo00<000000?ooo`3oool0o`3ooolA0?ooo`030000003oool0oooo09P0oooo0@3IfMT003d0oooo 00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`1:0?ooo`800000k03oool00`000000oooo 0?ooo`3o0?oooa00oooo00<000000?ooo`3oool0V@3oool10=WIf@00?@3oool00`000000oooo0?oo o`0E0?ooo`030000003oool0oooo04`0oooo0P00003Z0?ooo`030000003oool0oooo0?l0oooo3`3o ool00`000000oooo0?ooo`2J0?ooo`40fMWI000m0?ooo`030000003oool0oooo01H0oooo00<00000 0?ooo`3oool0C@3oool200000>P0oooo00<000000?ooo`3oool0o`3oool>0?ooo`030000003oool0 oooo03H0oooo00=000000?ooo`3oool0HP3oool10=WIf@00?P3oool00`000000oooo0?ooo`0F0?oo o`030000003oool0oooo04h0oooo00<000000?ooo`3oool0i@3oool00`000000oooo0?ooo`3o0?oo o`d0oooo00<000000?ooo`3oool0=`3oool2@00006<0oooo0@3IfMT003h0oooo00<000000?ooo`3o ool05P3oool00`000000oooo0?ooo`1?0?ooo`800000b03oool3@00000@0oooo0T0000060?ooo`=0 00002`3oool00`000000oooo0?ooo`3o0?ooo``0oooo00<000000?ooo`3oool07@3oool2@00000<0 oooo00A000000?ooo`3oool0oooo0d0000080?ooo`=0000000L0oooo@000003oool0oooo@000003o oom000000680oooo0@3IfMT003h0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`1@ 0?ooo`800000a@3oool01D000000oooo0?ooo`3ooom0000000`0oooo00=000000?ooo`3oool02P3o ool500000003@000003oool0oooo0?l0oooo1P3oool00`000000oooo0?ooo`0M0?ooo`03@000003o oom0000000P0oooo00=000000?ooo`3oool0203oool014000000oooo0?oood00001W0?ooo`40fMWI 000o0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0D@3oool200000<<0oooo00E0 00000?ooo`3oool0oooo@00000090?ooo`E000002`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo 00<000000?ooo`3oool07P3oool014000000oooo0?oood0000080?ooo`03@000003oool0oooo00L0 oooo00=000000?oood000000J03oool10=WIf@00?`3oool00`000000oooo0?ooo`0H0?ooo`030000 003oool0oooo0580oooo0P0000310?ooo`05@000003oool0oooo0?oood0000002@3oool014000000 oooo0?oood00000<0?ooo`030000003oool0oooo0?l0oooo2@3oool00`000000oooo0?ooo`0O0?oo o`04@000003oool0oooo@00000T0oooo00=000000?ooo`3oool01`3oool2@00000@0oooo00E00000 0?ooo`3oool0oooo@00000020?ooo`03@000003ooom0000005X0oooo0@3IfMT003l0oooo00<00000 0?ooo`3oool0603oool00`000000oooo0?ooo`1D0?ooo`800000_`3oool01D000000oooo0?ooo`3o oom0000000X0oooo00=000000?oood000000303oool00`000000oooo0?ooo`3o0?ooo`P0oooo00<0 00000?ooo`3oool08@3oool00d000000oooo@00000070?ooo`03@000003ooom0000000T0oooo00=0 00000?oood0000000`3oool01D000000oooo0?ooo`3ooom000000080oooo1400001I0?ooo`40fMWI 000o0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0E@3oool200000;d0oooo00E0 00000?ooo`3oool0oooo@000000;0?ooo`900000303oool00`000000oooo0?ooo`3o0?ooo`L0oooo 00<000000?ooo`3oool08P3oool2@00000T0oooo0T0000080?ooo`90000000<0oooo@00004000000 0P3oool01D000000oooo0?ooo`3ooom0000000<0oooo00=000000?ooo`3oool0F@3oool10=WIf@00 @03oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo05H0oooo0P00002l0?ooo`=00000 3@3oool00d000000oooo0?ooo`0:0?ooo`030000003oool0oooo0?l0oooo1P3oool00`000000oooo 0?ooo`100?ooo`05@000003oool0oooo0?oood000000GP3oool10=WIf@00@03oool00`000000oooo 0?ooo`0I0?ooo`030000003oool0oooo05P0oooo0`00003F0?ooo`030000003oool0oooo0?l0oooo 1@3oool00`000000oooo0?ooo`2T0?ooo`40fMWI00100?ooo`030000003oool0oooo01X0oooo00<0 00000?ooo`3oool0FP3oool200000=@0oooo00<000000?ooo`3oool0o`3oool40?ooo`030000003o ool0oooo0:D0oooo0@3IfMT00440oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`1K 0?ooo`800000dP3oool00`000000oooo0?ooo`3o0?ooo`<0oooo00<000000?ooo`3oool0YP3oool1 0=WIf@00@@3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo05d0oooo0P00003@0?oo o`030000003oool0oooo0?l0oooo0P3oool00`000000oooo0?ooo`2W0?ooo`40fMWI00110?ooo`03 0000003oool0oooo01/0oooo00<000000?ooo`3oool0GP3oool2000000?ooo`800000IP3oool3@000 00@0oooo0T0000050?ooo`=00000303oool00`000000oooo0?ooo`3N0?ooo`030000003oool0oooo 00?ooo`030000003oool0oooo0=X0oooo0@3IfMT0 05<0oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`2X0?ooo`<00000F03oool00`00 0000oooo0?ooo`3=0?ooo`030000003oool0oooo0=/0oooo0@3IfMT005@0oooo00<000000?ooo`3o ool0<`3oool00`000000oooo0?ooo`2[0?ooo`<00000E@3oool00`000000oooo0?ooo`3<0?ooo`03 0000003oool0oooo0=`0oooo0@3IfMT005@0oooo00<000000?ooo`3oool0=03oool00`000000oooo 0?ooo`2]0?ooo`<00000DP3oool00`000000oooo0?ooo`3;0?ooo`030000003oool0oooo0=d0oooo 0@3IfMT005D0oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`2_0?ooo`<00000C`3o ool00`000000oooo0?ooo`3:0?ooo`030000003oool0oooo0=h0oooo0@3IfMT005D0oooo00<00000 0?ooo`3oool0=@3oool00`000000oooo0?ooo`2a0?ooo`<00000C03oool00`000000oooo0?ooo`39 0?ooo`030000003oool0oooo0=l0oooo0@3IfMT005D0oooo00<000000?ooo`3oool0=P3oool00`00 0000oooo0?ooo`2c0?ooo`<00000B@3oool00`000000oooo0?ooo`380?ooo`030000003oool0oooo 0>00oooo0@3IfMT005H0oooo00<000000?ooo`3oool0=P3oool00`000000oooo0?ooo`2e0?ooo`80 0000A`3oool00`000000oooo0?ooo`370?ooo`030000003oool0oooo0>40oooo0@3IfMT005H0oooo 00<000000?ooo`3oool0=`3oool00`000000oooo0?ooo`2f0?ooo`<00000A03oool00`000000oooo 0?ooo`360?ooo`030000003oool0oooo0>80oooo0@3IfMT005L0oooo00<000000?ooo`3oool0=`3o ool00`000000oooo0?ooo`2h0?ooo`<00000@@3oool300000003@000003oool0oooo0<80oooo00<0 00000?ooo`3oool0h`3oool10=WIf@00E`3oool00`000000oooo0?ooo`0h0?ooo`030000003oool0 oooo0;X0oooo0P00000o0?ooo`030000003oool0oooo0<@0oooo00<000000?ooo`3oool0i03oool1 0=WIf@00F03oool00`000000oooo0?ooo`0h0?ooo`030000003oool0oooo0;/0oooo0`00000l0?oo o`030000003oool0oooo0<<0oooo00<000000?ooo`3oool0i@3oool10=WIf@00F03oool00`000000 oooo0?ooo`0i0?ooo`030000003oool0oooo0;d0oooo0`00000i0?ooo`030000003oool0oooo0<80 oooo00<000000?ooo`3oool0iP3oool10=WIf@00F@3oool00`000000oooo0?ooo`0i0?ooo`030000 003oool0oooo0;l0oooo0P00000g0?ooo`030000003oool0oooo0<40oooo00<000000?ooo`3oool0 i`3oool10=WIf@00F@3oool00`000000oooo0?ooo`0j0?ooo`030000003oool0oooo0<00oooo0`00 000d0?ooo`030000003oool0oooo0<00oooo00<000000?ooo`3oool0j03oool10=WIf@00FP3oool0 0`000000oooo0?ooo`0j0?ooo`030000003oool0oooo0<80oooo0P00000b0?ooo`030000003oool0 oooo0;l0oooo00<000000?ooo`3oool0j@3oool10=WIf@00FP3oool00`000000oooo0?ooo`0k0?oo o`030000003oool0oooo0<<0oooo0`00000_0?ooo`030000003oool0oooo0;h0oooo00<000000?oo o`3oool0jP3oool10=WIf@00FP3oool00`000000oooo0?ooo`0l0?ooo`030000003oool0oooo0`3oool00d000000oooo 0?ooo`2h0?ooo`40fMWI001P0?ooo`030000003oool0oooo0480oooo00<000000?ooo`3oool0g03o ool3000000T0oooo00<000000?ooo`3oool0/@3oool00`000000oooo0?ooo`0i0?ooo`05@000003o ool0oooo0?oood000000^@3oool10=WIf@00H03oool00`000000oooo0?ooo`130?ooo`030000003o ool0oooo0`3oool3@0000;X0oooo0@3IfMT00640oooo00<00000 0?ooo`3oool0@`3oool00`000000oooo0?ooo`380?ooo`05@000003oool0oooo0?oood0000002@3o ool01D000000oooo0?ooo`3ooom0000000@0oooo0`0000040?ooo`030000003oool0oooo0:l0oooo 00<000000?ooo`3oool07P3oool2@00000030?oood000010000000<0oooo00=000000?ooo`3oool0 0P3oool2@0000<`0oooo0@3IfMT00640oooo00<000000?ooo`3oool0A03oool2000000?ooo`030000003oool0oooo0?l0oooo 9`3oool10=WIf@00N03oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo0:80oooo00=0 00000?ooo`3oool0303oool00`000000oooo0?ooo`1d0?ooo`8000002`3oool00`000000oooo0?oo o`3o0?ooobP0oooo0@3IfMT007T0oooo00<000000?ooo`3oool0H@3oool00`000000oooo0?ooo`2Q 0?ooo`03@000003oool0oooo00`0oooo1@0000000d000000oooo0?ooo`1a0?ooo`800000203oool0 0`000000oooo0?ooo`3o0?ooobT0oooo0@3IfMT007T0oooo00<000000?ooo`3oool0HP3oool20000 0:40oooo00=000000?ooo`3oool0303oool00`000000oooo0?ooo`1h0?ooo`8000001@3oool00`00 0000oooo0?ooo`3o0?ooobX0oooo0@3IfMT007X0oooo00<000000?ooo`3oool0H`3oool00`000000 oooo0?ooo`2N0?ooo`03@000003oool0oooo00`0oooo00<000000?ooo`3oool0NP3oool200000080 oooo00<000000?ooo`3oool0o`3oool[0?ooo`40fMWI001j0?ooo`030000003oool0oooo06@0oooo 00<000000?ooo`3oool0W@3oool00d000000oooo0?ooo`0<0?ooo`030000003oool0oooo07`0oooo 0P00003o0?ooobh0oooo0@3IfMT007/0oooo00<000000?ooo`3oool0I03oool00`000000oooo0?oo o`2K0?ooo`9000003P3oool00`000000oooo0?ooo`1l0?ooo`030000003oool0oooo0?l0oooo;@3o ool10=WIf@00O03oool00`000000oooo0?ooo`1T0?ooo`800000Z`3oool00`000000oooo0?ooo`1k 0?ooo`030000003oool0oooo0?l0oooo;P3oool10=WIf@00O03oool00`000000oooo0?ooo`1V0?oo o`030000003oool0oooo0:P0oooo00<000000?ooo`3oool0NP3oool00`000000oooo0?ooo`3o0?oo obl0oooo0@3IfMT007d0oooo00<000000?ooo`3oool0IP3oool00`000000oooo0?ooo`2W0?ooo`03 0000003oool0oooo07T0oooo00<000000?ooo`3oool0o`3oool`0?ooo`40fMWI001m0?ooo`030000 003oool0oooo06L0oooo00<000000?ooo`3oool0YP3oool00`000000oooo0?ooo`1h0?ooo`030000 003oool0oooo0480oooo00=000000?ooo`3oool0j`3oool10=WIf@00OP3oool00`000000oooo0?oo o`1W0?ooo`800000YP3oool00`000000oooo0?ooo`1g0?ooo`030000003oool0oooo04<0oooo0T00 003/0?ooo`40fMWI001n0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool0X`3oool0 0`000000oooo0?ooo`1f0?ooo`030000003oool0oooo02T0oooo0T0000030?ooo`04@000003oool0 oooo0?ooo`=00000203oool3@00000070?oood000000oooo0?oood000000oooo@000003[0?ooo`40 fMWI001o0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool0XP3oool300000003@000 003oool0oooo0780oooo00<000000?ooo`3oool0:@3oool00d000000oooo@00000070?ooo`04@000 003oool0oooo@00000P0oooo00A000000?ooo`3ooom00000l03oool10=WIf@00P03oool00`000000 oooo0?ooo`1Y0?ooo`030000003oool0oooo0:40oooo00<000000?ooo`3oool0M03oool00`000000 oooo0?ooo`0Z0?ooo`04@000003oool0oooo@00000H0oooo0T0000000`3ooom000000?ooo`070?oo o`03@000003ooom000000?40oooo0@3IfMT00800oooo00<000000?ooo`3oool0JP3oool200000:40 oooo00<000000?ooo`3oool0L`3oool00`000000oooo0?ooo`0[0?ooo`04@000003oool0oooo@000 00H0oooo00A000000?oood00001000002@3oool2@00000@0oooo00E000000?ooo`3oool0oooo@000 00020?ooo`03@000003ooom000000><0oooo0@3IfMT00840oooo00<000000?ooo`3oool0J`3oool0 0`000000oooo0?ooo`2N0?ooo`030000003oool0oooo0780oooo00<000000?ooo`3oool0;@3oool0 0d000000oooo@00000070?ooo`03@000003oool0oooo00T0oooo00=000000?oood0000000`3oool0 1D000000oooo0?ooo`3ooom000000080oooo1400003R0?ooo`40fMWI00210?ooo`030000003oool0 oooo06`0oooo00<000000?ooo`3oool0W@3oool00`000000oooo0?ooo`1a0?ooo`030000003oool0 oooo02h0oooo0T0000090?ooo`900000203oool2@00000030?oood00001000000080oooo00E00000 0?ooo`3oool0oooo@00000030?ooo`03@000003oool0oooo0>80oooo0@3IfMT00880oooo00<00000 0?ooo`3oool0K03oool00`000000oooo0?ooo`2L0?ooo`030000003oool0oooo0700oooo00<00000 0?ooo`3oool0C03oool01D000000oooo0?ooo`3ooom000000>L0oooo0@3IfMT00880oooo00<00000 0?ooo`3oool0K@3oool2000009`0oooo00<000000?ooo`3oool0K`3oool00`000000oooo0?ooo`3o 0?ooocX0oooo0@3IfMT008<0oooo00<000000?ooo`3oool0KP3oool00`000000oooo0?ooo`2I0?oo o`030000003oool0oooo06h0oooo00<000000?ooo`3oool0o`3ooolk0?ooo`40fMWI00240?ooo`03 0000003oool0oooo06h0oooo00<000000?ooo`3oool0V03oool00`000000oooo0?ooo`1]0?ooo`03 0000003oool0oooo0?l0oooo?03oool10=WIf@00Q03oool00`000000oooo0?ooo`1_0?ooo`030000 003oool0oooo09L0oooo00<000000?ooo`3oool0K03oool00`000000oooo0?ooo`3o0?ooocd0oooo 0@3IfMT008D0oooo00<000000?ooo`3oool0K`3oool2000009L0oooo00<000000?ooo`3oool0J`3o ool00`000000oooo0?ooo`3o0?oooch0oooo0@3IfMT008D0oooo00<000000?ooo`3oool0L@3oool0 0`000000oooo0?ooo`2D0?ooo`030000003oool0oooo06X0oooo00<000000?ooo`3oool0o`3ooolo 0?ooo`40fMWI00260?ooo`030000003oool0oooo0740oooo00<000000?ooo`3oool0T`3oool30000 0003@000003oool0oooo06H0oooo00<000000?ooo`3oool0o`3ooom00?ooo`40fMWI00260?ooo`03 0000003oool0oooo0780oooo00<000000?ooo`3oool0TP3oool00`000000oooo0?ooo`1X0?ooo`03 0000003oool0oooo0?l0oooo@@3oool10=WIf@00Q`3oool00`000000oooo0?ooo`1b0?ooo`800000 TP3oool00`000000oooo0?ooo`1W0?ooo`030000003oool0oooo0?l0oooo@P3oool10=WIf@00R03o ool00`000000oooo0?ooo`1c0?ooo`030000003oool0oooo08l0oooo00<000000?ooo`3oool0IP3o ool00`000000oooo0?ooo`3o0?oood<0oooo0@3IfMT008P0oooo00<000000?ooo`3oool0M03oool0 0`000000oooo0?ooo`2>0?ooo`030000003oool0oooo06D0oooo00<000000?ooo`3oool0o`3ooom4 0?ooo`40fMWI00290?ooo`030000003oool0oooo07@0oooo00<000000?ooo`3oool0S@3oool00`00 0000oooo0?ooo`1T0?ooo`030000003oool0oooo0?l0ooooA@3oool10=WIf@00R@3oool00`000000 oooo0?ooo`1e0?ooo`800000S@3oool00`000000oooo0?ooo`1S0?ooo`030000003oool0oooo0?l0 ooooAP3oool10=WIf@00RP3oool00`000000oooo0?ooo`1f0?ooo`030000003oool0oooo08X0oooo 00<000000?ooo`3oool0HP3oool00`000000oooo0?ooo`3o0?ooodL0oooo0@3IfMT008/0oooo00<0 00000?ooo`3oool0MP3oool00`000000oooo0?ooo`290?ooo`030000003oool0oooo0640oooo00<0 00000?ooo`3oool0o`3ooom80?ooo`40fMWI002;0?ooo`030000003oool0oooo07L0oooo00<00000 0?ooo`3oool0R03oool00`000000oooo0?ooo`1P0?ooo`030000003oool0oooo0?l0ooooB@3oool1 0=WIf@00S03oool00`000000oooo0?ooo`1g0?ooo`800000R03oool00`000000oooo0?ooo`1O0?oo o`030000003oool0oooo0?l0ooooBP3oool10=WIf@00S03oool00`000000oooo0?ooo`1i0?ooo`03 0000003oool0oooo08D0oooo0`0000000d000000oooo0?ooo`1K0?ooo`030000003oool0oooo0?l0 ooooB`3oool10=WIf@00S@3oool00`000000oooo0?ooo`1i0?ooo`030000003oool0oooo08@0oooo 00<000000?ooo`3oool0G@3oool00`000000oooo0?ooo`3o0?oood`0oooo0@3IfMT008d0oooo00<0 00000?ooo`3oool0NP3oool2000008@0oooo00<000000?ooo`3oool0G03oool00`000000oooo0?oo o`3o0?ooodd0oooo0@3IfMT008h0oooo00<000000?ooo`3oool0N`3oool00`000000oooo0?ooo`21 0?ooo`030000003oool0oooo05/0oooo00<000000?ooo`3oool0o`3ooom>0?ooo`40fMWI002?0?oo o`030000003oool0oooo07/0oooo00<000000?ooo`3oool0P03oool00`000000oooo0?ooo`1J0?oo o`030000003oool0oooo0?l0ooooC`3oool10=WIf@00S`3oool00`000000oooo0?ooo`1l0?ooo`80 0000P03oool00`000000oooo0?ooo`1I0?ooo`030000003oool0oooo0?l0ooooD03oool10=WIf@00 T03oool00`000000oooo0?ooo`1m0?ooo`030000003oool0oooo07d0oooo00<000000?ooo`3oool0 F03oool00`000000oooo0?ooo`3o0?oooe40oooo0@3IfMT00900oooo00<000000?ooo`3oool0OP3o ool00`000000oooo0?ooo`1l0?ooo`030000003oool0oooo05L0oooo00<000000?ooo`3oool0o`3o oomB0?ooo`40fMWI002A0?ooo`030000003oool0oooo07h0oooo0P00001l0?ooo`030000003oool0 oooo05H0oooo00<000000?ooo`3oool0o`3ooomC0?ooo`40fMWI002A0?ooo`030000003oool0oooo 0800oooo00<000000?ooo`3oool0N@3oool00`000000oooo0?ooo`1E0?ooo`030000003oool0oooo 0?l0ooooE03oool10=WIf@00TP3oool00`000000oooo0?ooo`200?ooo`030000003oool0oooo05X0 oooo1D0000030?ooo`900000103oool5@00000/0oooo00<000000?ooo`3oool0E03oool00`000000 oooo0?ooo`3o0?oooeD0oooo0@3IfMT009<0oooo00<000000?ooo`3oool0P03oool2000005`0oooo 00=000000?ooo`3oool02@3oool00d000000oooo0?ooo`0=0?ooo`030000003oool0oooo05<0oooo 00<000000?ooo`3oool0o`3ooomF0?ooo`40fMWI002C0?ooo`030000003oool0oooo0880oooo00<0 00000?ooo`3oool0F@3oool00d000000oooo0?ooo`0:0?ooo`03@000003oool0oooo00`0oooo1@00 00000d000000oooo0?ooo`1=0?ooo`030000003oool0oooo0?l0ooooE`3oool10=WIf@00U03oool0 0`000000oooo0?ooo`220?ooo`800000F@3oool00d000000oooo0?ooo`0;0?ooo`03@000003oool0 oooo00/0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`3o0?oooeP0oooo0@3IfMT0 09@0oooo00<000000?ooo`3oool0Q03oool00`000000oooo0?ooo`1F0?ooo`03@000003oool0oooo 00`0oooo00=000000?ooo`3oool02P3oool00`000000oooo0?ooo`1@0?ooo`030000003oool0oooo 0?l0ooooF@3oool10=WIf@00U@3oool00`000000oooo0?ooo`240?ooo`800000EP3oool00d000000 oooo0?ooo`090?ooo`05@000003oool0oooo0?oood0000002`3oool00`000000oooo0?ooo`1?0?oo o`030000003oool0oooo0?l0ooooFP3oool10=WIf@00UP3oool00`000000oooo0?ooo`250?ooo`03 0000003oool0oooo0580oooo0T00000<0?ooo`=00000303oool00`000000oooo0?ooo`1>0?ooo`03 0000003oool0oooo0?l0ooooF`3oool10=WIf@00UP3oool00`000000oooo0?ooo`260?ooo`800000 K`3oool00`000000oooo0?ooo`1=0?ooo`030000003oool0oooo0?l0ooooG03oool10=WIf@00U`3o ool00`000000oooo0?ooo`270?ooo`030000003oool0oooo06`0oooo00<000000?ooo`3oool0C03o ool00`000000oooo0?ooo`3o0?oooed0oooo0@3IfMT009L0oooo00<000000?ooo`3oool0R03oool2 000006`0oooo00<000000?ooo`3oool0B`3oool00`000000oooo0?ooo`3o0?oooeh0oooo0@3IfMT0 09P0oooo00<000000?ooo`3oool0R@3oool00`000000oooo0?ooo`1Y0?ooo`030000003oool0oooo 04X0oooo00<000000?ooo`3oool0o`3ooomO0?ooo`40fMWI002H0?ooo`030000003oool0oooo08X0 oooo0P00001Y0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3oool0o`3ooomP0?ooo`40 fMWI002I0?ooo`030000003oool0oooo08/0oooo00<000000?ooo`3oool0IP3oool00`000000oooo 0?ooo`180?ooo`030000003oool0oooo0?l0ooooH@3oool10=WIf@00VP3oool00`000000oooo0?oo o`2;0?ooo`030000003oool0oooo06D0oooo0`0000000d000000oooo0?ooo`140?ooo`030000003o ool0oooo0?l0ooooHP3oool10=WIf@00VP3oool00`000000oooo0?ooo`2<0?ooo`800000I@3oool0 0`000000oooo0?ooo`160?ooo`030000003oool0oooo0?l0ooooH`3oool10=WIf@00V`3oool00`00 0000oooo0?ooo`2=0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool0A@3oool00`00 0000oooo0?ooo`3o0?ooof@0oooo0@3IfMT009/0oooo00<000000?ooo`3oool0SP3oool00`000000 oooo0?ooo`1Q0?ooo`030000003oool0oooo04@0oooo00<000000?ooo`3oool0o`3ooomU0?ooo`40 fMWI002L0?ooo`030000003oool0oooo08h0oooo00<000000?ooo`3oool0H03oool00`000000oooo 0?ooo`130?ooo`030000003oool0oooo0?l0ooooIP3oool10=WIf@00W@3oool00`000000oooo0?oo o`2>0?ooo`800000H03oool00`000000oooo0?ooo`120?ooo`030000003oool0oooo0?l0ooooI`3o ool10=WIf@00W@3oool00`000000oooo0?ooo`2@0?ooo`030000003oool0oooo05d0oooo00<00000 0?ooo`3oool0@@3oool00`000000oooo0?ooo`3o0?ooofP0oooo0@3IfMT009h0oooo00<000000?oo o`3oool0T03oool00`000000oooo0?ooo`1L0?ooo`030000003oool0oooo0400oooo00<000000?oo o`3oool0o`3ooomY0?ooo`40fMWI002N0?ooo`030000003oool0oooo0940oooo00<000000?ooo`3o ool0F`3oool00`000000oooo0?ooo`0o0?ooo`030000003oool0oooo0?l0ooooJP3oool10=WIf@00 W`3oool00`000000oooo0?ooo`2A0?ooo`800000F`3oool00`000000oooo0?ooo`0n0?ooo`030000 003oool0oooo0?l0ooooJ`3oool10=WIf@00W`3oool00`000000oooo0?ooo`2C0?ooo`030000003o ool0oooo05P0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`3o0?ooof`0oooo0@3I fMT00:00oooo00<000000?ooo`3oool0T`3oool00`000000oooo0?ooo`1G0?ooo`030000003oool0 oooo03`0oooo00<000000?ooo`3oool0o`3ooom]0?ooo`40fMWI002Q0?ooo`030000003oool0oooo 09<0oooo0P00001G0?ooo`<0000000=000000?ooo`3oool0>03oool00`000000oooo0?ooo`3o0?oo ofh0oooo0@3IfMT00:40oooo00<000000?ooo`3oool0U@3oool00`000000oooo0?ooo`1D0?ooo`03 0000003oool0oooo03X0oooo00<000000?ooo`3oool0o`3ooom_0?ooo`40fMWI002R0?ooo`030000 003oool0oooo09D0oooo0P00001D0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0 o`3ooom`0?ooo`40fMWI002S0?ooo`030000003oool0oooo09H0oooo00<000000?ooo`3oool0D@3o ool00`000000oooo0?ooo`0h0?ooo`030000003oool0oooo0?l0ooooL@3oool10=WIf@00X`3oool0 0`000000oooo0?ooo`2G0?ooo`800000D@3oool00`000000oooo0?ooo`0g0?ooo`030000003oool0 oooo0?l0ooooLP3oool10=WIf@00Y03oool00`000000oooo0?ooo`2H0?ooo`030000003oool0oooo 04h0oooo00<000000?ooo`3oool0=P3oool00`000000oooo0?ooo`3o0?ooog<0oooo0@3IfMT00:@0 oooo00<000000?ooo`3oool0V@3oool2000004h0oooo00<000000?ooo`3oool0=@3oool00`000000 oooo0?ooo`3o0?ooog@0oooo0@3IfMT00:D0oooo00<000000?ooo`3oool0VP3oool00`000000oooo 0?ooo`1;0?ooo`030000003oool0oooo03@0oooo00<000000?ooo`3oool0o`3ooome0?ooo`40fMWI 002V0?ooo`030000003oool0oooo09X0oooo0P00001;0?ooo`030000003oool0oooo03<0oooo00<0 00000?ooo`3oool0o`3ooomf0?ooo`40fMWI002V0?ooo`030000003oool0oooo09`0oooo00<00000 0?ooo`3oool0B03oool00`000000oooo0?ooo`0b0?ooo`030000003oool0oooo0?l0ooooM`3oool1 0=WIf@00Y`3oool00`000000oooo0?ooo`2L0?ooo`800000B03oool00`000000oooo0?ooo`0a0?oo o`030000003oool0oooo0?l0ooooN03oool10=WIf@00Z03oool00`000000oooo0?ooo`2M0?ooo`03 0000003oool0oooo04D0oooo0`0000000d000000oooo0?ooo`0]0?ooo`030000003oool0oooo0?l0 ooooN@3oool10=WIf@00Z03oool00`000000oooo0?ooo`2N0?ooo`800000A@3oool00`000000oooo 0?ooo`0_0?ooo`030000003oool0oooo0?l0ooooNP3oool10=WIf@00Z@3oool00`000000oooo0?oo o`2O0?ooo`030000003oool0oooo0480oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?oo o`3o0?ooog/0oooo0@3IfMT00:X0oooo00<000000?ooo`3oool0W`3oool00`000000oooo0?ooo`11 0?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool0o`3oooml0?ooo`40fMWI002Z0?oo o`030000003oool0oooo0:00oooo0P0000110?ooo`030000003oool0oooo02`0oooo00<000000?oo o`3oool0o`3ooomm0?ooo`40fMWI002[0?ooo`030000003oool0oooo0:40oooo00<000000?ooo`3o ool0?P3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo0?l0ooooOP3oool10=WIf@00 [03oool00`000000oooo0?ooo`2Q0?ooo`800000?P3oool00`000000oooo0?ooo`0Z0?ooo`030000 003oool0oooo0?l0ooooO`3oool10=WIf@00[03oool00`000000oooo0?ooo`2S0?ooo`030000003o ool0oooo03/0oooo00<000000?ooo`3oool0:@3oool00`000000oooo0?ooo`3o0?oooh00oooo0@3I fMT00:d0oooo00<000000?ooo`3oool0X`3oool2000003/0oooo00<000000?ooo`3oool0:03oool0 0`000000oooo0?ooo`3o0?oooh40oooo0@3IfMT00:d0oooo00<000000?ooo`3oool0Y@3oool00`00 0000oooo0?ooo`0h0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0o`3ooon20?oo o`40fMWI002^0?ooo`030000003oool0oooo0:D0oooo0P00000J0?ooo`E000000`3oool2@00000H0 oooo0d00000;0?ooo`030000003oool0oooo02H0oooo00<000000?ooo`3oool0o`3ooon30?ooo`40 fMWI002_0?ooo`030000003oool0oooo0:H0oooo00<000000?ooo`3oool06@3oool00d000000oooo 0?ooo`0<0?ooo`03@000003oool0oooo00X0oooo00<000000?ooo`3oool09@3oool00`000000oooo 0?ooo`3o0?oooh@0oooo0@3IfMT00:l0oooo00<000000?ooo`3oool0Y`3oool00`000000oooo0?oo o`0H0?ooo`03@000003oool0oooo00T0oooo1D00000;0?ooo`D0000000=000000?ooo`3oool07`3o ool00`000000oooo0?ooo`3o0?ooohD0oooo0@3IfMT00;00oooo00<000000?ooo`3oool0Y`3oool2 000001P0oooo00=000000?ooo`3oool02@3oool014000000oooo0?oood00000<0?ooo`030000003o ool0oooo02<0oooo00<000000?ooo`3oool0o`3ooon60?ooo`40fMWI002a0?ooo`030000003oool0 oooo0:P0oooo00<000000?ooo`3oool05@3oool00d000000oooo0?ooo`0:0?ooo`03@000003ooom0 000000`0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`3o0?ooohL0oooo0@3IfMT0 0;40oooo00<000000?ooo`3oool0Z@3oool00`000000oooo0?ooo`0D0?ooo`03@000003oool0oooo 00/0oooo0T00000<0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3oool0o`3ooon80?oo o`40fMWI002b0?ooo`030000003oool0oooo0:T0oooo0P00000C0?ooo`9000003P3oool00d000000 oooo0?ooo`0:0?ooo`030000003oool0oooo0200oooo00<000000?ooo`3oool0o`3ooon90?ooo`40 fMWI002c0?ooo`030000003oool0oooo0:X0oooo00<000000?ooo`3oool0;@3oool00`000000oooo 0?ooo`0O0?ooo`030000003oool0oooo0?l0ooooRP3oool10=WIf@00/`3oool00`000000oooo0?oo o`2[0?ooo`030000003oool0oooo02`0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?oo o`3o0?oooh/0oooo0@3IfMT00;@0oooo00<000000?ooo`3oool0Z`3oool2000002`0oooo00<00000 0?ooo`3oool07@3oool00`000000oooo0?ooo`3o0?oooh`0oooo0@3IfMT00;D0oooo00<000000?oo o`3oool0[03oool00`000000oooo0?ooo`0Y0?ooo`030000003oool0oooo01`0oooo00<000000?oo o`3oool0o`3ooon=0?ooo`40fMWI002e0?ooo`030000003oool0oooo0:d0oooo0P00000Y0?ooo`03 0000003oool0oooo01/0oooo00<000000?ooo`3oool0o`3ooon>0?ooo`40fMWI002f0?ooo`030000 003oool0oooo0:h0oooo00<000000?ooo`3oool09P3oool00`000000oooo0?ooo`0J0?ooo`030000 003oool0oooo0?l0ooooS`3oool10=WIf@00]`3oool00`000000oooo0?ooo`2^0?ooo`030000003o ool0oooo02D0oooo0`0000000d000000oooo0?ooo`0F0?ooo`030000003oool0oooo0?l0ooooT03o ool10=WIf@00]`3oool00`000000oooo0?ooo`2_0?ooo`8000009@3oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo0?l0ooooT@3oool10=WIf@00^03oool00`000000oooo0?ooo`2`0?oo o`030000003oool0oooo0280oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`3o0?oo oi80oooo0@3IfMT00;P0oooo00<000000?ooo`3oool0/@3oool200000280oooo00<000000?ooo`3o ool05P3oool00`000000oooo0?ooo`3o0?oooi<0oooo0@3IfMT00;T0oooo00<000000?ooo`3oool0 /P3oool00`000000oooo0?ooo`0O0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0 o`3ooonD0?ooo`40fMWI002j0?ooo`030000003oool0oooo0;80oooo00<000000?ooo`3oool07P3o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo0?l0ooooU@3oool10=WIf@00^P3oool0 0`000000oooo0?ooo`2c0?ooo`8000007P3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0 oooo0?l0ooooUP3oool10=WIf@00^`3oool00`000000oooo0?ooo`2d0?ooo`030000003oool0oooo 01/0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`3o0?oooiL0oooo0@3IfMT00940 oooo00=000000?ooo`3oool0:03oool00`000000oooo0?ooo`2E0?ooo`03@000003oool0oooo01`0 oooo0P00000K0?ooo`030000003oool0oooo0140oooo00<000000?ooo`3oool0o`3ooonH0?ooo`40 fMWI002A0?ooo`900000:@3oool00`000000oooo0?ooo`2E0?ooo`9000007`3oool00`000000oooo 0?ooo`0H0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0o`3ooonI0?ooo`40fMWI 001e0?ooo`=000000`3oool014000000oooo0?ooo`3oool3@00000P0oooo0d0000001`3ooom00000 0?ooo`3ooom000000?oood000000:@3oool00`000000oooo0?ooo`2=0?ooo`=0000000L0oooo@000 003oool0oooo@000003ooom0000001l0oooo0P00000H0?ooo`030000003oool0oooo00l0oooo00<0 00000?ooo`3oool0o`3ooonJ0?ooo`40fMWI001f0?ooo`03@000003oool0oooo00T0oooo00=00000 0?ooo`3oool01P3oool014000000oooo0?oood00000_0?ooo`030000003oool0oooo08d0oooo00A0 00000?ooo`3ooom000009P3oool00`000000oooo0?ooo`0E0?ooo`<0000000=000000?ooo`3oool0 2`3oool00`000000oooo0?ooo`3o0?oooi/0oooo0@3IfMT007H0oooo00=000000?ooo`3oool02@3o ool00d000000oooo0?ooo`060?ooo`03@000003ooom000000300oooo00<000000?ooo`3oool0S@3o ool00d000000oooo@000000X0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool03@3o ool00`000000oooo0?ooo`3o0?oooi`0oooo0@3IfMT007L0oooo00=000000?ooo`3oool01P3oool3 @00000T0oooo0T0000040?ooo`05@000003oool0oooo0?oood0000000P3oool00d000000oooo@000 000S0?ooo`030000003oool0oooo08d0oooo0T0000040?ooo`05@000003oool0oooo0?oood000000 0P3oool00d000000oooo@000000K0?ooo`800000503oool00`000000oooo0?ooo`0<0?ooo`030000 003oool0oooo0?l0ooooW@3oool10=WIf@00MP3oool2@00000P0oooo00=000000?ooo`3oool02@3o ool00d000000oooo@00000030?ooo`05@000003oool0oooo0?oood0000000P3oool4@00002<0oooo 00<000000?ooo`3oool0S03oool00d000000oooo@00000030?ooo`05@000003oool0oooo0?oood00 00000P3oool4@00001`0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0;0?ooo`03 0000003oool0oooo0?l0ooooWP3oool10=WIf@00M`3oool00d000000oooo0?ooo`060?ooo`=00000 203oool2@00000030?oood00001000000080oooo00E000000?ooo`3oool0oooo@00000030?ooo`03 @000003oool0oooo02<0oooo00<000000?ooo`3oool0R`3oool2@00000030?oood00001000000080 oooo00E000000?ooo`3oool0oooo@00000030?ooo`03@000003oool0oooo01d0oooo0P00000A0?oo o`030000003oool0oooo00X0oooo00<000000?ooo`3oool0o`3ooonO0?ooo`40fMWI002C0?ooo`05 @000003oool0oooo0?oood000000:@3oool00`000000oooo0?ooo`2B0?ooo`05@000003oool0oooo 0?oood000000903oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00T0oooo00<00000 0?ooo`3oool0o`3ooonP0?ooo`40fMWI00310?ooo`030000003oool0oooo0;`0oooo0P00000>0?oo o`030000003oool0oooo00P0oooo00<000000?ooo`3oool0o`3ooonQ0?ooo`40fMWI00320?ooo`03 0000003oool0oooo0;d0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`070?ooo`03 0000003oool0oooo0?l0ooooXP3oool10=WIf@00``3oool00`000000oooo0?ooo`2m0?ooo`800000 2`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0ooooX`3oool10=WIf@00``3o ool00`000000oooo0?ooo`2o0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool01@3o ool00`000000oooo0?ooo`3o0?oooj@0oooo0@3IfMT00<@0oooo00<000000?ooo`3oool0_`3oool0 0`000000oooo0?ooo`070?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0o`3ooonU 0?ooo`40fMWI00340?ooo`030000003oool0oooo0<00oooo0P0000070?ooo`030000003oool0oooo 00<0oooo00<000000?ooo`3oool0o`3ooonV0?ooo`40fMWI00350?ooo`030000003oool0oooo0<40 oooo00<000000?ooo`3oool0103oool300000003@000003oool000000?l0ooooZ@3oool10=WIf@00 aP3oool00`000000oooo0?ooo`310?ooo`800000103oool01@000000oooo0?ooo`3oool000000?l0 ooooZP3oool10=WIf@00aP3oool00`000000oooo0?ooo`330?ooo`050000003oool0oooo0?ooo`00 00000P3oool00`000000oooo0?ooo`3o0?ooojT0oooo0@3IfMT00"], ImageRangeCache->{{{0, 830}, {414.5, 0}} -> {-1.74865, -0.0995668, \ 0.00436478, 0.00436478}}] }, Open ]], Cell["\<\ (1, 0) : \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .5 Mabswid 0 0 m .02028 .00969 L .0424 .01934 L .06318 .02768 L .08316 .03514 L .10443 .04256 L .1249 .04926 L .14666 .05596 L .16762 .06206 L .18779 .06762 L .20924 .07325 L .2299 .07842 L .24976 .08317 L .27092 .08802 L .29127 .09249 L .31291 .09706 L .33376 .1013 L .35381 .10522 L .37515 .10926 L .39569 .11301 L .41752 .11686 L .43856 .12046 L .4588 .12381 L .48033 .12727 L .5 .13034 L s .5 .13034 m .51039 .132 L .52171 .13397 L .53235 .13597 L .54258 .13805 L .55347 .14044 L .56395 .14292 L .57509 .14577 L .58583 .14874 L .59615 .15181 L .60714 .15533 L .61772 .15899 L .62789 .16277 L .63872 .16711 L .64914 .1716 L .66022 .17675 L .67089 .1821 L .68116 .18765 L .69209 .19403 L .70261 .20066 L .71378 .2083 L .72455 .2163 L .73492 .22465 L .74594 .23433 L .75601 .24399 L s 0 0 m .02028 .03441 L .0424 .06262 L .06318 .08386 L .08316 .10107 L .10443 .1169 L .1249 .13027 L .14666 .14294 L .16762 .15392 L .18779 .16354 L .20924 .17294 L .2299 .18129 L .24976 .18875 L .27092 .19617 L .29127 .20285 L .31291 .20953 L .33376 .21558 L .35381 .22109 L .37515 .22665 L .39569 .23173 L .41752 .23687 L .43856 .24158 L .4588 .24592 L .48033 .25033 L .5 .25419 L s .5 .25419 m .50683 .25554 L .51427 .25711 L .52126 .25867 L .52799 .26026 L .53515 .26206 L .54204 .2639 L .54936 .26598 L .55642 .26811 L .5632 .2703 L .57042 .27277 L .57738 .27531 L .58406 .27791 L .59118 .28086 L .59803 .2839 L .60532 .28736 L .61233 .29093 L .61908 .29462 L .62626 .29884 L .63318 .30322 L .64053 .30826 L .64761 .31352 L .65442 .31901 L .66166 .32537 L .66828 .33172 L s 0 0 m .00987 .03718 L .02028 .0662 L .0424 .11046 L .06238 .13942 L .08365 .16374 L .10412 .18297 L .12588 .20026 L .14684 .21463 L .16701 .22681 L .18847 .23836 L .20913 .24834 L .22899 .25708 L .25014 .26559 L .2705 .27311 L .29214 .28049 L .31299 .28707 L .33304 .29298 L .35438 .29885 L .37492 .30415 L .39675 .30944 L .41778 .31424 L .43802 .31859 L .45955 .32298 L .48028 .32699 L .5 .33061 L s .5 .33061 m .50479 .3315 L .51002 .33252 L .51493 .33353 L .51965 .33456 L .52467 .33571 L .52951 .3369 L .53465 .33823 L .5396 .3396 L .54436 .34099 L .54943 .34258 L .55431 .34421 L .55901 .34588 L .564 .34778 L .56881 .34974 L .57392 .35198 L .57885 .35431 L .58359 .35673 L .58863 .35951 L .59348 .36241 L .59864 .36578 L .60361 .36933 L .60839 .37307 L .61347 .37745 L .61812 .38188 L s 0 0 m .00471 .03231 L .00987 .0593 L .02028 .09944 L .03174 .13153 L .0424 .15491 L .06288 .18938 L .08463 .21692 L .1056 .23798 L .12577 .25478 L .14722 .26994 L .16788 .28254 L .18774 .29319 L .20889 .30326 L .22925 .31194 L .25089 .32026 L .27174 .32752 L .29179 .3339 L .31313 .34015 L .33367 .34569 L .3555 .35114 L .37654 .356 L .39678 .36037 L .4183 .36471 L .43903 .36862 L .45897 .37217 L .48019 .37572 L .5 .37885 L s .5 .37885 m .50352 .37941 L .50735 .38005 L .51095 .38069 L .51442 .38134 L .5181 .38207 L .52165 .38282 L .52543 .38366 L .52906 .38453 L .53256 .38542 L .53628 .38644 L .53986 .38748 L .5433 .38856 L .54697 .38979 L .5505 .39107 L .55425 .39255 L .55786 .39409 L .56134 .3957 L .56504 .39757 L .5686 .39954 L .57238 .40185 L .57603 .40432 L .57954 .40696 L .58327 .4101 L .58668 .41332 L s 0 0 m .00244 .02683 L .00471 .04699 L .00987 .08248 L .0149 .10878 L .02028 .13142 L .03187 .16863 L .0424 .19415 L .06337 .23182 L .08353 .25835 L .10499 .28033 L .12565 .29742 L .14551 .31117 L .16666 .32366 L .18702 .33403 L .20866 .34368 L .22951 .35188 L .24956 .35892 L .2709 .36567 L .29144 .37154 L .31327 .37721 L .33431 .38219 L .35455 .3866 L .37607 .39092 L .3968 .39477 L .41674 .39821 L .43796 .40163 L .45839 .4047 L .4801 .40775 L .5 .41037 L s .5 .41037 m .50267 .41073 L .50559 .41113 L .50832 .41154 L .51095 .41195 L .51376 .41242 L .51645 .4129 L .51932 .41344 L .52208 .414 L .52474 .41458 L .52756 .41524 L .53028 .41592 L .5329 .41663 L .53569 .41745 L .53837 .4183 L .54122 .41929 L .54397 .42033 L .54661 .42143 L .54942 .42271 L .55212 .42409 L .555 .42572 L .55777 .42748 L .56044 .4294 L .56327 .43171 L .56586 .43414 L s 0 0 m .00244 .03682 L .00471 .06263 L .00987 .10554 L .0149 .13582 L .02028 .16112 L .03187 .20142 L .0424 .22829 L .06337 .26686 L .08353 .29329 L .10499 .31472 L .12565 .33108 L .14551 .34405 L .16666 .35566 L .18702 .36519 L .20866 .37395 L .22951 .38132 L .24956 .3876 L .2709 .39356 L .29144 .3987 L .31327 .40363 L .33431 .40793 L .35455 .4117 L .37607 .41539 L .3968 .41865 L .41674 .42155 L .43796 .42441 L .45839 .42697 L .4801 .42951 L .5 .43168 L s .5 .43168 m .50209 .43191 L .50437 .43217 L .50651 .43243 L .50856 .4327 L .51075 .43301 L .51286 .43332 L .5151 .43368 L .51726 .43405 L .51934 .43443 L .52155 .43487 L .52368 .43533 L .52572 .4358 L .5279 .43636 L .53 .43694 L .53223 .43761 L .53437 .43833 L .53644 .4391 L .53863 .44001 L .54075 .44099 L .543 .44216 L .54516 .44345 L .54725 .44488 L .54947 .44663 L .55149 .44851 L s 0 0 m .00118 .02557 L .00244 .04755 L .00471 .07866 L .00742 .10704 L .00987 .12782 L .01523 .16296 L .02028 .18828 L .03089 .22748 L .0424 .25787 L .05282 .27898 L .06386 .29705 L .08372 .32224 L .10487 .34237 L .12523 .35754 L .14687 .37056 L .16772 .38091 L .18777 .38935 L .20911 .39705 L .22965 .40348 L .25148 .40946 L .27252 .41454 L .29276 .4189 L .31428 .42306 L .33501 .42668 L .35495 .42985 L .37617 .43293 L .3966 .43564 L .41831 .43829 L .43923 .44064 L .45936 .44274 L .48077 .44481 L .5 .44654 L s .5 .44654 m .50167 .4467 L .5035 .44687 L .50521 .44705 L .50686 .44723 L .50861 .44743 L .5103 .44764 L .51209 .44788 L .51382 .44813 L .51548 .44839 L .51725 .44869 L .51895 .449 L .52059 .44933 L .52234 .44972 L .52401 .45012 L .5258 .4506 L .52752 .45111 L .52917 .45165 L .53093 .45231 L .53262 .45302 L .53442 .45389 L .53616 .45485 L .53783 .45593 L .5396 .45729 L .54122 .45878 L s 0 0 m .00118 .03232 L .00244 .05876 L .00471 .0947 L .00742 .12635 L .00987 .149 L .01523 .18649 L .02028 .21295 L .03089 .25308 L .03688 .27013 L .0424 .28352 L .05307 .30477 L .06306 .32075 L .08293 .34518 L .10328 .36369 L .12493 .37881 L .14577 .39036 L .16582 .39949 L .18716 .40762 L .20771 .41426 L .22954 .42031 L .25057 .42537 L .27081 .42966 L .29234 .4337 L .31307 .43717 L .333 .44017 L .35423 .44307 L .37465 .4456 L .39637 .44805 L .41729 .45021 L .43741 .45212 L .45882 .454 L .47943 .45567 L .49925 .45717 L .5 .45722 L s .5 .45722 m .50137 .45733 L .50286 .45745 L .50425 .45757 L .5056 .45769 L .50703 .45783 L .50841 .45798 L .50988 .45814 L .51129 .45832 L .51265 .4585 L .51409 .45871 L .51548 .45893 L .51682 .45916 L .51824 .45943 L .51961 .45972 L .52107 .46006 L .52248 .46043 L .52383 .46083 L .52526 .46131 L .52665 .46184 L .52812 .46249 L .52953 .46323 L .5309 .46407 L .53235 .46514 L .53367 .46633 L s 0 0 m .00118 .0395 L .00244 .07024 L .00471 .11047 L .00742 .14485 L .00987 .16897 L .01523 .20815 L .02028 .2353 L .03089 .27574 L .03688 .29265 L .0424 .30582 L .05307 .32649 L .06306 .34185 L .08293 .365 L .10328 .38227 L .12493 .39617 L .14577 .40668 L .16582 .4149 L .18716 .42216 L .20771 .42804 L .22954 .43337 L .25057 .4378 L .27081 .44154 L .29234 .44504 L .31307 .44803 L .333 .45062 L .35423 .4531 L .37465 .45526 L .39637 .45734 L .41729 .45918 L .43741 .4608 L .45882 .46238 L .47943 .46379 L .49925 .46505 L .5 .4651 L s .5 .4651 m .50113 .46517 L .50237 .46526 L .50353 .46534 L .50465 .46543 L .50584 .46553 L .50699 .46563 L .5082 .46575 L .50938 .46587 L .5105 .466 L .5117 .46615 L .51286 .46631 L .51397 .46647 L .51515 .46667 L .51629 .46688 L .5175 .46713 L .51867 .4674 L .51979 .4677 L .52098 .46806 L .52213 .46846 L .52335 .46896 L .52453 .46953 L .52566 .47019 L .52687 .47105 L .52797 .47203 L s 0 0 m .00062 .02712 L .00118 .04701 L .00244 .0818 L .00361 .10656 L .00471 .12582 L .00719 .15978 L .00987 .18769 L .01529 .22842 L .02028 .25555 L .02539 .27716 L .03102 .29623 L .0424 .32525 L .05259 .34439 L .06356 .36046 L .0852 .38364 L .10605 .39944 L .1261 .41093 L .14744 .42053 L .16798 .42796 L .18981 .43444 L .21084 .43966 L .23108 .44394 L .25261 .44787 L .27334 .45116 L .29328 .45395 L .3145 .45659 L .33493 .45886 L .35664 .46102 L .37756 .4629 L .39768 .46454 L .41909 .46613 L .43971 .46754 L .45953 .46878 L .48063 .47 L .5 .47105 L s .5 .47105 m .50096 .4711 L .502 .47116 L .50298 .47122 L .50392 .47128 L .50492 .47135 L .50589 .47143 L .50691 .47151 L .5079 .4716 L .50885 .4717 L .50986 .4718 L .51084 .47192 L .51177 .47204 L .51277 .47219 L .51373 .47235 L .51475 .47253 L .51573 .47274 L .51668 .47296 L .51769 .47324 L .51865 .47354 L .51968 .47393 L .52067 .47438 L .52163 .47491 L .52264 .47561 L .52357 .47643 L s 0 0 m 0 .5 L .5 .5 L 1 0 L s .53183 .48383 m .5382 .4902 L .63051 .39789 L .62414 .39152 L s gsave .69735 .46155 -104.219 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 78.688 13.000 moveto (H) show 84.250 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 89.813 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (3) show 95.375 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (,) show 100.938 13.000 moveto (...) show 117.625 13.000 moveto (,) show 123.188 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 128.750 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (10) show %%IncludeResource: font Math2Mono %%IncludeFont: Math2Mono /Math2Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 139.875 13.000 moveto (L) show 145.438 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .72918 .34377 -76.4063 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 89.813 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .81831 .25465 -76.4063 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 89.813 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .18169 .48383 -77 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (\\245) show 91.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .94563 .12732 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{836, 418}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`05@000003oool0oooo 0?oood0000003@3oool00d000000oooo0?ooo`1W0?ooo`03@000003oool0oooo06T0oooo00=00000 0?ooo`3oool03@3oool00d000000oooo0?ooo`1;0?ooo`40fMWI000e0?ooo`03@000003oool0oooo 00X0oooo0d00001Z0?ooo`03@000003oool0oooo06P0oooo00E000000?ooo`3oool0oooo@000000: 0?ooo`=00000d@3oool01D000000oooo0?ooo`3ooom0000000X0oooo0d00001Z0?ooo`03@000003o ool0oooo06T0oooo00=000000?ooo`3oool02P3oool3@00004h0oooo0@3IfMT003D0oooo00=00000 0?ooo`3oool02P3oool00d000000oooo0?ooo`1Z0?ooo`03@000003oool0oooo06P0oooo00E00000 0?ooo`3oool0oooo@000000:0?ooo`03@000003oool0oooo0=40oooo00E000000?ooo`3oool0oooo @000000:0?ooo`03@000003oool0oooo06X0oooo00=000000?ooo`3oool0J@3oool00d000000oooo 0?ooo`0:0?ooo`03@000003oool0oooo04h0oooo0@3IfMT003D0oooo00=000000?ooo`3oool02P3o ool00d000000oooo0?ooo`1Z0?ooo`03@000003oool0oooo06P0oooo00E000000?ooo`3oool0oooo @000000:0?ooo`03@000003oool0oooo0=40oooo00E000000?ooo`3oool0oooo@000000:0?ooo`03 @000003oool0oooo06X0oooo00=000000?ooo`3oool0J@3oool00d000000oooo0?ooo`0:0?ooo`03 @000003oool0oooo04h0oooo0@3IfMT003@0oooo0T00000<0?ooo`A00000J03oool2@00006/0oooo 0d00000;0?ooo`A00000d@3oool3@00000/0oooo1400001X0?ooo`900000JP3oool2@00000`0oooo 1400001=0?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom6 0?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40 fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o 0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0 ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooolF0?ooo`900000;P3oool10=WIf@00:03o oooo00000?l00000e`0000000d000000oooo0?ooo`0C0?ooo`03@000003ooom0000002d0oooo0@3I fMT002P0oooo1000000=0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool05@3oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool04`3oool0 14000000oooo0?oood00000]0?ooo`40fMWI000X0?ooo`8000000P3oool2000000/0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0303oool00`000000oooo0?ooo`0D0?ooo`05@000003oool0oooo0?oood000000;03o ool10=WIf@00:03oool3000000<0oooo0P0000090?ooo`030000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool05@3oool00d000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003oool0oooo01@0oooo00=00000 0?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`030000003oool0oooo00/0oooo00<00000 0?ooo`3oool0503oool3@00000040?oood0000100000@00002/0oooo0@3IfMT002P0oooo0`000005 0?ooo`8000001`3oool00`000000oooo0?ooo`1`0?ooo`030000003oool0oooo0700oooo00<00000 0?ooo`3oool0L@3oool00`000000oooo0?ooo`1`0?ooo`030000003oool0oooo0700oooo00<00000 0?ooo`3oool0L03oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo04L0oooo0@3IfMT0 02P0oooo0P0000000`3oool000000?ooo`050?ooo`8000001@3oool00d000000oooo0?ooo`1`0?oo o`03@000003oool0oooo0700oooo00=000000?ooo`3oool0L@3oool00`000000oooo0?ooo`1`0?oo o`03@000003oool0oooo0700oooo00=000000?ooo`3oool0L03oool00d000000oooo0?ooo`090?oo o`030000003oool0oooo04P0oooo0@3IfMT002P0oooo0`0000000`3oool000000?ooo`060?ooo`80 0000o`3ooomN0?ooo`030000003oool0oooo0?l0ooooHP3oool00`000000oooo0?ooo`190?ooo`40 fMWI000X0?ooo`<0000000<0oooo0000003oool0203oool300000?l0ooooF`3oool00`000000oooo 0?ooo`3o0?ooof40oooo00<000000?ooo`3oool0BP3oool10=WIf@00:03oool300000080oooo00<0 00000?ooo`3oool02@3oool200000?l0ooooF@3oool00`000000oooo0?ooo`3o0?ooof00oooo00<0 00000?ooo`3oool0B`3oool10=WIf@00:03oool4000000030?ooo`000000oooo00`0oooo0P00003o 0?oooeL0oooo00<000000?ooo`3oool0o`3ooomO0?ooo`030000003oool0oooo04`0oooo0@3IfMT0 02P0oooo100000020?ooo`030000003oool0oooo00`0oooo0P00003o0?oooeD0oooo00<000000?oo o`3oool0o`3ooomN0?ooo`030000003oool0oooo04d0oooo0@3IfMT002P0oooo100000030?ooo`03 0000003oool0oooo00d0oooo0`00003o0?oooe80oooo00<000000?ooo`3oool0o`3ooomM0?ooo`03 0000003oool0oooo04h0oooo0@3IfMT002P0oooo0`0000001@3oool000000?ooo`3oool000000180 oooo0P00003o0?oooe00oooo0P0000000d000000oooo0?ooo`3o0?oooeX0oooo00<000000?ooo`3o ool0C`3oool10=WIf@00:03oool3000000030?ooo`000000oooo0080oooo00<000000?ooo`3oool0 4@3oool200000?l0ooooCP3oool00`000000oooo0?ooo`3o0?oooe/0oooo00<000000?ooo`3oool0 D03oool10=WIf@00:03oool3000000030?ooo`000000oooo0080oooo00<000000?ooo`3oool04`3o ool300000?l0ooooB`3oool00`000000oooo0?ooo`3o0?oooeX0oooo00<000000?ooo`3oool0D@3o ool10=WIf@00:03oool5000000@0oooo00<000000?ooo`3oool05@3oool200000?l0ooooB@3oool0 0`000000oooo0?ooo`3o0?oooeT0oooo00<000000?ooo`3oool0DP3oool10=WIf@00:03oool40000 00030?ooo`000000oooo00<0oooo00<000000?ooo`3oool05P3oool300000?l0ooooAP3oool00`00 0000oooo0?ooo`3o0?oooeP0oooo00<000000?ooo`3oool0D`3oool10=WIf@00:03oool400000003 0?ooo`000000oooo00<0oooo00<000000?ooo`3oool06@3oool200000?l0ooooA03oool00`000000 oooo0?ooo`3o0?oooeL0oooo00<000000?ooo`3oool0E03oool10=WIf@00:03oool4000000030?oo o`000000oooo00@0oooo00<000000?ooo`3oool06P3oool300000?l0oooo@@3oool00`000000oooo 0?ooo`3o0?oooeH0oooo00<000000?ooo`3oool0E@3oool10=WIf@00:03oool400000080oooo00<0 00000?ooo`3oool00P3oool00`000000oooo0?ooo`0M0?ooo`800000o`3ooolo0?ooo`030000003o ool0oooo0?l0ooooE@3oool00`000000oooo0?ooo`1F0?ooo`40fMWI000X0?ooo`@000000P3oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo01h0oooo0`00003o0?oooc`0oooo00<00000 0?ooo`3oool0o`3ooomD0?ooo`030000003oool0oooo05L0oooo0@3IfMT002P0oooo0`000000103o ool000000?ooo`0000060?ooo`030000003oool0oooo0200oooo0P00003o0?ooocX0oooo00<00000 0?ooo`3oool0o`3ooomC0?ooo`030000003oool0oooo05P0oooo0@3IfMT002P0oooo0`0000001@3o ool000000?ooo`3oool0000000D0oooo00<000000?ooo`3oool08P3oool300000?l0oooo=`3oool0 0`000000oooo0?ooo`3o0?oooe80oooo00<000000?ooo`3oool0F@3oool10=WIf@00:03oool30000 00050?ooo`000000oooo0?ooo`0000001P3oool00`000000oooo0?ooo`0T0?ooo`800000o`3ooole 0?ooo`80000000=000000?ooo`3oool0o`3ooom?0?ooo`030000003oool0oooo05X0oooo0@3IfMT0 02P0oooo1@0000020?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool09P3oool30000 0?l0oooo0?ooo`030000003oool0oooo05d0oooo 0@3IfMT002P0oooo100000001@3oool000000?ooo`3oool0000000P0oooo00<000000?ooo`3oool0 :`3oool300000?l0oooo:P3oool00`000000oooo0?ooo`3o0?ooodd0oooo00<000000?ooo`3oool0 GP3oool10=WIf@00:03oool4000000050?ooo`000000oooo0?ooo`000000203oool00`000000oooo 0?ooo`0^0?ooo`<00000o`3ooolW0?ooo`030000003oool0oooo0?l0ooooC03oool00`000000oooo 0?ooo`1O0?ooo`40fMWI000X0?ooo`@0000000<0oooo0000003oool00P3oool00`000000oooo0?oo o`060?ooo`030000003oool0oooo0300oooo0`00003o0?ooob@0oooo00<000000?ooo`3oool0o`3o oom;0?ooo`030000003oool0oooo0600oooo0@3IfMT002P0oooo100000000`3oool000000?ooo`02 0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0@3oool300000?l0oooo603oool00`000000oooo 0?ooo`3o0?ooodL0oooo00<000000?ooo`3oool0I03oool10=WIf@00:03oool5000000030?ooo`00 0000oooo0080oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0k0?ooo`<00000o`3o oolE0?ooo`030000003oool0oooo0?l0ooooAP3oool00`000000oooo0?ooo`1U0?ooo`40fMWI000X 0?ooo`D0000000<0oooo0000003oool00`3oool00`000000oooo0?ooo`090?ooo`030000003oool0 oooo03d0oooo0`00003o0?oooa80oooo0P0000000d000000oooo0?ooo`3o0?oood<0oooo00<00000 0?ooo`3oool0IP3oool10=WIf@00:03oool500000080oooo00D000000?ooo`3oool0oooo0000000; 0?ooo`030000003oool0oooo0400oooo0`00003o0?ooo`l0oooo00<000000?ooo`3oool0o`3ooom4 0?ooo`030000003oool0oooo06L0oooo0@3IfMT002P0oooo1@0000020?ooo`050000003oool0oooo 0?ooo`000000303oool00`000000oooo0?ooo`120?ooo`<00000o`3oool<0?ooo`030000003oool0 oooo0?l0oooo@`3oool00`000000oooo0?ooo`1X0?ooo`40fMWI000X0?ooo`@0000000@0oooo0000 003oool00000103oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo04@0oooo0`00003o 0?ooo`T0oooo00<000000?ooo`3oool0o`3ooom20?ooo`030000003oool0oooo06T0oooo0@3IfMT0 02P0oooo10000000103oool000000?ooo`0000040?ooo`030000003oool0oooo00/0oooo00<00000 0?ooo`3oool0AP3oool400000?l0oooo1@3oool00`000000oooo0?ooo`3o0?oood40oooo00<00000 0?ooo`3oool0JP3oool10=WIf@00:03oool4000000040?ooo`000000oooo000000@0oooo00<00000 0?ooo`3oool02`3oool00`000000oooo0?ooo`1:0?ooo`<00000o`3oool20?ooo`030000003oool0 oooo0?l0oooo@03oool00`000000oooo0?ooo`1[0?ooo`40fMWI000X0?ooo`@0000000D0oooo0000 003oool0oooo000000040?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0C03oool3 00000?h0oooo00<000000?ooo`3oool0o`3ooolo0?ooo`030000003oool0oooo06`0oooo0@3IfMT0 02P0oooo1P0000020?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0303oool00`00 0000oooo0?ooo`1>0?ooo`@00000nP3oool00`000000oooo0?ooo`3o0?oooch0oooo00<000000?oo o`3oool0K@3oool10=WIf@00:03oool600000080oooo00<000000?ooo`3oool00P3oool00`000000 oooo0?ooo`0=0?ooo`030000003oool0oooo0540oooo1000003f0?ooo`030000003oool0oooo0?l0 oooo?@3oool00`000000oooo0?ooo`1^0?ooo`40fMWI000X0?ooo`D0000000@0oooo0000003oool0 00001@3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo05D0oooo1000003b0?ooo`03 0000003oool0oooo0?l0oooo?03oool00`000000oooo0?ooo`1_0?ooo`40fMWI000X0?ooo`D00000 00@0oooo0000003oool000001@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo05P0 oooo0`00003A0?ooo`=00000103oool2@00000@0oooo1D00000<0?ooo`030000003oool0oooo0?l0 oooo>`3oool00`000000oooo0?ooo`1`0?ooo`40fMWI000X0?ooo`D0000000D0oooo0000003oool0 oooo000000040?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0FP3oool400000<`0 oooo00E000000?ooo`3oool0oooo@00000090?ooo`03@000003oool0oooo00h0oooo100000000d00 0000oooo0?ooo`3o0?ooocH0oooo00<000000?ooo`3oool0L@3oool10=WIf@00:03oool00`000000 oooo00000002000000050?ooo`000000oooo0?ooo`0000001@3oool00`000000oooo0?ooo`0>0?oo o`030000003oool0oooo05d0oooo0`0000390?ooo`05@000003oool0oooo0?oood0000002P3oool0 0d000000oooo0?ooo`0=0?ooo`030000003oool0oooo0?l0oooo>@3oool00`000000oooo0?ooo`1b 0?ooo`40fMWI000X0?ooo`030000003oool000000080000000D0oooo0000003oool0oooo00000005 0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0G`3oool4000000?ooo`030000003oool0oooo0?l0oooo8`3oool00`000000oooo 0?ooo`280?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0000000D0oooo0000003oool0oooo 000000040?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool06`3oool00`000000oooo 0?ooo`2R0?ooo`@00000RP3oool200000003@000003oool0oooo0?l0oooo803oool00`000000oooo 0?ooo`290?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0000000D0oooo0000003oool0oooo 000000040?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool06`3oool200000:H0oooo 1@0000250?ooo`030000003oool0oooo0?l0oooo8@3oool00`000000oooo0?ooo`2:0?ooo`40fMWI 000X0?ooo`030000003oool0oooo00<0000000D0oooo0000003oool0oooo000000040?ooo`030000 003oool0oooo00T0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`2X0?ooo`D00000 P03oool00`000000oooo0?ooo`3o0?ooob00oooo00<000000?ooo`3oool0R`3oool10=WIf@00:03o ool00`000000oooo0?ooo`02000000030?ooo`00000000000080oooo00<000000?ooo`3oool00P3o ool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0[03o ool5000007/0oooo00<000000?ooo`3oool0o`3ooolO0?ooo`030000003oool0oooo08`0oooo0@3I fMT002P0oooo00<000000?ooo`3oool00P0000001P3oool000000?ooo`000000oooo000000D0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo0;00oooo 1@00001f0?ooo`030000003oool0oooo0?l0oooo7P3oool00`000000oooo0?ooo`2=0?ooo`40fMWI 000X0?ooo`030000003oool0oooo00@0000000@0oooo0000003oool000001@3oool00`000000oooo 0?ooo`0:0?ooo`030000003oool0oooo01h0oooo0P00002e0?ooo`D00000L@3oool00`000000oooo 0?ooo`3o0?oooad0oooo00<000000?ooo`3oool0SP3oool10=WIf@00:03oool00`000000oooo0?oo o`04000000050?ooo`000000oooo0?ooo`000000103oool00`000000oooo0?ooo`0:0?ooo`030000 003oool0oooo0200oooo00<000000?ooo`3oool0]`3oool5000006`0oooo00<000000?ooo`3oool0 o`3ooolL0?ooo`030000003oool0oooo08l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool01000 00001@3oool000000?ooo`3oool0000000D0oooo00<000000?ooo`3oool02P3oool00`000000oooo 0?ooo`0P0?ooo`030000003oool0oooo0;/0oooo1@00001W0?ooo`030000003oool0oooo0?l0oooo 6`3oool00`000000oooo0?ooo`2@0?ooo`40fMWI000X0?ooo`030000003oool0oooo00@0000000D0 oooo0000003oool0oooo000000050?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0 8@3oool200000<00oooo1@00001R0?ooo`030000003oool0oooo0?l0oooo6P3oool00`000000oooo 0?ooo`2A0?ooo`40fMWI000X0?ooo`030000003oool0oooo00@0000000D0oooo0000003oool0oooo 000000050?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool08P3oool00`000000oooo 0?ooo`320?ooo`D00000G@3oool00`000000oooo0?ooo`3o0?oooaT0oooo00<000000?ooo`3oool0 TP3oool10=WIf@00:03oool00`000000oooo0?ooo`04000000050?ooo`000000oooo0?ooo`000000 1P3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool0 aP3oool6000005L0oooo00<000000?ooo`3oool0o`3ooolH0?ooo`030000003oool0oooo09<0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0100000020?ooo`030000003oool0000000H0oooo00<0 00000?ooo`3oool02`3oool00`000000oooo0?ooo`0S0?ooo`800000c03oool8000004l0oooo0P00 00000d000000oooo0?ooo`3o0?oooaD0oooo00<000000?ooo`3oool0U03oool10=WIf@00:03oool0 0`000000oooo0?ooo`03000000040?ooo`000000oooo00000080oooo00<000000?ooo`3oool00`3o ool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo02D0oooo00<000000?ooo`3oool0d@3o ool6000004T0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`030000003oool0oooo09D0oooo0@3I fMT002P0oooo00<000000?ooo`3oool00`000000103oool000000?ooo`0000020?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0U0?ooo`030000003o ool0oooo0=H0oooo1@0000140?ooo`030000003oool0oooo0?l0oooo5@3oool00`000000oooo0?oo o`2F0?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0000000@0oooo0000003oool000000P3o ool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool09@3o ool200000=/0oooo1P00000n0?ooo`030000003oool0oooo0?l0oooo503oool00`000000oooo0?oo o`0d0?ooo`E00000GP3oool10=WIf@00:03oool010000000oooo0?ooo`3oool2000000040?ooo`00 0000oooo00000080oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0=0?ooo`030000 003oool0oooo02H0oooo00<000000?ooo`3oool0gP3oool5000003T0oooo00<000000?ooo`3oool0 o`3ooolC0?ooo`030000003oool0oooo03D0oooo00=000000?ooo`3oool0H03oool10=WIf@00:03o ool010000000oooo0?ooo`3oool2000000040?ooo`000000oooo000000<0oooo00<000000?ooo`3o ool0103oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo02L0oooo0P00003S0?ooo`D0 0000=03oool00`000000oooo0?ooo`3o0?oooa80oooo00<000000?ooo`3oool0=`3oool00d000000 oooo0?ooo`1O0?ooo`40fMWI000X0?ooo`040000003oool0oooo0?ooo`@0000000<0oooo0000003o ool00P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3o ool0:03oool00`000000oooo0?ooo`3U0?ooo`D00000;`3oool00`000000oooo0?ooo`3o0?oooa40 oooo00<000000?ooo`3oool0>@3oool00d000000oooo0?ooo`1N0?ooo`40fMWI000X0?ooo`040000 003oool0oooo0?ooo`@000000P3oool010000000oooo0?ooo`0000060?ooo`030000003oool0oooo 00h0oooo00<000000?ooo`3oool0:03oool200000>X0oooo1P00000Y0?ooo`030000003oool0oooo 0?l0oooo403oool00`000000oooo0?ooo`0k0?ooo`03@000003oool0oooo05d0oooo0@3IfMT002P0 oooo00@000000?ooo`3oool0oooo100000020?ooo`040000003oool0oooo000000L0oooo00<00000 0?ooo`3oool03@3oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo0>d0oooo2000000Q 0?ooo`030000003oool0oooo0?l0oooo3`3oool00`000000oooo0?ooo`0i0?ooo`05@000003oool0 oooo0?oood000000GP3oool10=WIf@00:03oool010000000oooo0?ooo`3oool3000000040?ooo`00 0000oooo000000<0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0>0?ooo`030000 003oool0oooo02X0oooo0P00003e0?ooo`H000006`3oool00`000000oooo0?ooo`3o0?ooo`h0oooo 00<000000?ooo`3oool0>`3oool3@00005l0oooo0@3IfMT002P0oooo00@000000?ooo`3oool0oooo 0`000000103oool000000?ooo`0000030?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3o ool03`3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo0?D0oooo0d00000500000003 @000003oool0oooo00@0oooo0d00000<0?ooo`030000003oool0oooo0?l0oooo3@3oool00`000000 oooo0?ooo`0N0?ooo`90000000<0oooo@000040000000`3oool00d000000oooo0?ooo`020?ooo`90 0000L@3oool10=WIf@00:03oool010000000oooo0?ooo`3oool3000000040?ooo`000000oooo0000 00<0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo 02/0oooo0P00003d0?ooo`05@000003oool0oooo0?oood000000103oool5000000<0oooo00=00000 0?ooo`3oool02`3oool00`000000oooo0?ooo`3o0?ooo``0oooo00<000000?ooo`3oool07P3oool0 0d000000oooo0?ooo`02@00000@0oooo00=000000?ooo`3oool00P3oool00d000000oooo@0000003 0?ooo`E00000J03oool10=WIf@00:03oool010000000oooo0?ooo`3oool3000000040?ooo`000000 oooo000000<0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0?0?ooo`030000003o ool0oooo02d0oooo00<000000?ooo`3oool0l@3oool01D000000oooo0?ooo`3ooom0000000T0oooo 1P00000;0?ooo`@0000000=000000?ooo`3oool0o`3oool70?ooo`030000003oool0oooo01l0oooo 00E000000?ooo`3oool0oooo@00000020?ooo`E0000000D0oooo@000003oool0oooo@000000;0?oo o`Y00000F`3oool10=WIf@00:03oool010000000oooo0?ooo`3oool3000000040?ooo`000000oooo 000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0@0?ooo`030000003oool0 oooo02d0oooo0P00003a0?ooo`05@000003oool0oooo0?oood0000002@3oool014000000oooo0?oo od0000020?ooo`P000000`3oool00`000000oooo0?ooo`3o0?ooo`X0oooo00<000000?ooo`3oool0 803oool01D000000oooo0?ooo`3ooom0000000@0oooo00E000000?ooo`3oool0oooo@00000030?oo o`03@000003oool0oooo00E00000J03oool10=WIf@00:03oool010000000oooo0?ooo`3oool30000 00040?ooo`000000oooo000000@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0@ 0?ooo`030000003oool0oooo02h0oooo00<000000?ooo`3oool0kP3oool01D000000oooo0?ooo`3o oom0000000X0oooo00=000000?oood0000002P3oool700000?l0oooo203oool00`000000oooo0?oo o`0P0?ooo`9000000P3oool2@00000@0oooo00=000000?ooo`3oool00d000000103ooom00000@000 0400001^0?ooo`40fMWI000X0?ooo`040000003oool0oooo0?ooo`80000000<0oooo000000000000 0P3oool01@000000oooo0?ooo`3oool0000000L0oooo00<000000?ooo`3oool0403oool00`000000 oooo0?ooo`0_0?ooo`800000kP3oool01D000000oooo0?ooo`3ooom0000000/0oooo0T00000=0?oo o`040000003oool0oooo0?ooo`L00000o`3oool00`000000oooo0?ooo`2S0?ooo`40fMWI000X0?oo o`040000003oool0oooo0?ooo`80000000<0oooo0000000000000P3oool01@000000oooo0?ooo`3o ool0000000L0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0`0?ooo`800000k@3o ool3@00000d0oooo00=000000?ooo`3oool02`3oool00`000000oooo0?ooo`080?ooo`H00000n03o ool00`000000oooo0?ooo`2T0?ooo`40fMWI000X0?ooo`030000003oool0oooo0080oooo00L00000 0?ooo`000000oooo0000003oool0000000@0oooo00<000000?ooo`3oool01@3oool00`000000oooo 0?ooo`0A0?ooo`030000003oool0oooo0340oooo0P00003o0?ooo`X0oooo00<000000?ooo`3oool0 3P3oool400000?<0oooo00<000000?ooo`3oool0@@3oool00d000000oooo0?ooo`020?ooo`03@000 003oool0oooo05`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool00P3oool3000000040?ooo`00 0000oooo000000@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0B0?ooo`030000 003oool0oooo0380oooo00<000000?ooo`3oool0o`3oool70?ooo`030000003oool0oooo0180oooo 1P00003/0?ooo`030000003oool0oooo04<0oooo00A000000?ooo`3ooom00000G`3oool10=WIf@00 :03oool00`000000oooo0?ooo`020?ooo`<0000000@0oooo0000003oool00000103oool00`000000 oooo0?ooo`060?ooo`030000003oool0oooo0140oooo00<000000?ooo`3oool0<`3oool200000?l0 oooo1`3oool00`000000oooo0?ooo`0H0?ooo`D00000iP3oool00`000000oooo0?ooo`150?ooo`03 @000003ooom0000005l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool00P3oool3000000040?oo o`000000oooo000000@0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0B0?ooo`03 0000003oool0oooo03@0oooo0P00003o0?ooo`D0oooo00<000000?ooo`3oool07@3oool400000>40 oooo00<000000?ooo`3oool0AP3oool00d000000oooo@000001O0?ooo`40fMWI000X0?ooo`030000 003oool0oooo0080oooo0`0000001@3oool000000?ooo`3oool0000000@0oooo00<000000?ooo`3o ool01P3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo03D0oooo0P00003o0?ooo`<0 oooo00<000000?ooo`3oool08@3oool400000=`0oooo00<000000?ooo`3oool0A@3oool7@00005d0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool00P3oool3000000050?ooo`000000oooo0?ooo`00 0000103oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3o ool0=P3oool200000?l0oooo0@3oool00`000000oooo0?ooo`0U0?ooo`@00000e`3oool00`000000 oooo0?ooo`2Z0?ooo`40fMWI000X0?ooo`030000003oool0oooo0080oooo0P0000000`3oool00000 000000020?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01`3oool00`000000oooo 0?ooo`0C0?ooo`030000003oool0oooo03L0oooo00<000000?ooo`3oool0o@3oool200000003@000 003oool0oooo02L0oooo1000003B0?ooo`030000003oool0oooo0:/0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool00P3oool2000000030?ooo`00000000000080oooo00<000000?ooo`3oool00`3o ool00`000000oooo0?ooo`060?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0>03o ool200000?d0oooo00<000000?ooo`3oool0;@3oool400000`3o ool200000?L0oooo00<000000?ooo`3oool0>@3oool400000;h0oooo00<000000?ooo`3oool0[`3o ool10=WIf@00:03oool00`000000oooo0?ooo`020?ooo`80000000@0oooo0000003oool000000P3o ool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0l0?ooo`800000m@3oool00`000000oooo0?ooo`0m0?ooo`@00000^@3o ool00`000000oooo0?ooo`2`0?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0oooo0`000000 1@3oool000000?ooo`3oool0000000D0oooo00<000000?ooo`3oool0203oool00`000000oooo0?oo o`0E0?ooo`030000003oool0oooo03d0oooo0P00003c0?ooo`030000003oool0oooo0440oooo0`00 002e0?ooo`030000003oool0oooo0;40oooo0@3IfMT002P0oooo00<000000?ooo`3oool00`3oool3 000000030?ooo`000000oooo0080oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`08 0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0?`3oool200000?40oooo00<00000 0?ooo`3oool0A03oool200000;80oooo00<000000?ooo`3oool0/P3oool10=WIf@00:03oool00`00 0000oooo0?ooo`030?ooo`<0000000<0oooo0000003oool00P3oool00`000000oooo0?ooo`030?oo o`030000003oool0oooo00P0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`100?oo o`030000003oool0oooo0>h0oooo00<000000?ooo`3oool0AP3oool300000:h0oooo00<000000?oo o`3oool0/`3oool10=WIf@00:03oool00`000000oooo0?ooo`030?ooo`80000000<0oooo00000000 00000`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3o ool05P3oool00`000000oooo0?ooo`100?ooo`800000kP3oool00`000000oooo0?ooo`190?ooo`<0 0000ZP3oool00`000000oooo0?ooo`2d0?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0oooo 0P000000103oool000000?ooo`0000020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3o ool02@3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo0440oooo0P00003/0?ooo`03 0000003oool0oooo04`0oooo0P00002W0?ooo`030000003oool0oooo0;D0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool00`3oool2000000040?ooo`000000oooo000000<0oooo00<000000?ooo`3o ool00`3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3o ool0@P3oool200000>X0oooo00<000000?ooo`3oool0CP3oool300000:<0oooo00<000000?ooo`3o ool0]P3oool10=WIf@00:03oool00`000000oooo0?ooo`030?ooo`80000000@0oooo0000003oool0 00000`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3o ool05`3oool00`000000oooo0?ooo`130?ooo`800000j03oool200000003@000003oool0oooo04l0 oooo0`00002O0?ooo`030000003oool0oooo0;L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 0`3oool2000000040?ooo`000000oooo000000<0oooo00<000000?ooo`3oool00`3oool00`000000 oooo0?ooo`090?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0A@3oool200000>H0 oooo00<000000?ooo`3oool0E03oool4000009X0oooo00<000000?ooo`3oool0^03oool10=WIf@00 :03oool00`000000oooo0?ooo`030?ooo`80000000@0oooo0000003oool000000`3oool00`000000 oooo0?ooo`040?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool05`3oool00`000000 oooo0?ooo`160?ooo`800000i03oool00`000000oooo0?ooo`1H0?ooo`<00000UP3oool00`000000 oooo0?ooo`2i0?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0oooo00H000000?ooo`000000 00000?ooo`0000040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool02P3oool00`00 0000oooo0?ooo`0G0?ooo`030000003oool0oooo04L0oooo0`00003Q0?ooo`030000003oool0oooo 05/0oooo0P00002C0?ooo`030000003oool0oooo0;X0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool00`3oool01P000000oooo000000000000oooo000000@0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0B@3oool2 00000=l0oooo00<000000?ooo`3oool0G@3oool3000008l0oooo00<000000?ooo`3oool0^`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`040?ooo`<000000P3oool01@000000oooo0?ooo`3oool0 000000D0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0H0?ooo`030000003oool0 oooo04X0oooo0P00003M0?ooo`030000003oool0oooo0600oooo0P00002<0?ooo`030000003oool0 oooo0;`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0103oool2000000040?ooo`000000oooo 000000<0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0:0?ooo`030000003oool0 oooo01T0oooo00<000000?ooo`3oool0B`3oool200000=/0oooo00<000000?ooo`3oool0HP3oool2 000008T0oooo00<000000?ooo`3oool0_@3oool10=WIf@00:03oool00`000000oooo0?ooo`040?oo o`80000000@0oooo0000003oool00000103oool00`000000oooo0?ooo`030?ooo`030000003oool0 oooo00/0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`1<0?ooo`<00000f03oool0 0`000000oooo0?ooo`1T0?ooo`800000QP3oool00`000000oooo0?ooo`2n0?ooo`40fMWI000X0?oo o`030000003oool0oooo00@0oooo0P000000103oool000000?ooo`0000040?ooo`030000003oool0 oooo00<0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0I0?ooo`030000003oool0 oooo04h0oooo0P00003F0?ooo`030000003oool0oooo06H0oooo0P0000230?ooo`030000003oool0 oooo0;l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0103oool2000000040?ooo`000000oooo 000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0;0?ooo`030000003oool0 oooo01X0oooo00<000000?ooo`3oool0C`3oool200000=@0oooo00<000000?ooo`3oool0J03oool3 000007l0oooo00<000000?ooo`3oool0`03oool10=WIf@00:03oool00`000000oooo0?ooo`040?oo o`80000000D0oooo0000003oool0oooo000000030?ooo`030000003oool0oooo00@0oooo00<00000 0?ooo`3oool0303oool00`000000oooo0?ooo`0J0?ooo`800000D@3oool300000=40oooo00<00000 0?ooo`3oool0J`3oool2000007`0oooo00<000000?ooo`3oool0`@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`040?ooo`80000000D0oooo0000003oool0oooo000000040?ooo`030000003oool0 oooo00@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0L0?ooo`030000003oool0 oooo0540oooo0P00003?0?ooo`80000000=000000?ooo`3oool0J`3oool3000007P0oooo00<00000 0?ooo`3oool0`P3oool10=WIf@00:03oool00`000000oooo0?ooo`040?ooo`040000003oool00000 00000080oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`040?ooo`030000003oool0 oooo00`0oooo00<000000?ooo`3oool0703oool00`000000oooo0?ooo`1B0?ooo`<00000c03oool0 0`000000oooo0?ooo`1`0?ooo`800000M@3oool00`000000oooo0?ooo`330?ooo`40fMWI000X0?oo o`030000003oool0oooo00@0oooo00@000000?ooo`00000000000P3oool00`000000oooo0?ooo`02 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0L 0?ooo`030000003oool0oooo05@0oooo0P00003:0?ooo`030000003oool0oooo0780oooo0P00001b 0?ooo`030000003oool0oooo0<@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0103oool01000 0000oooo0000000000030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0103oool0 0`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0E@3oool3 000000?ooo`030000003oool0oooo0280oooo00<00000 0?ooo`3oool0H`3oool3000008l0oooo00E000000?ooo`3oool0oooo@00000090?ooo`05@000003o ool0oooo0?oood000000303oool400000003@000003oool0oooo0800oooo0P00001F0?ooo`030000 003oool0oooo00?ooo`03 0000003oool0oooo08P0oooo00<000000?ooo`3oool0C`3oool00`000000oooo0?ooo`3@0?ooo`40 fMWI000X0?ooo`030000003oool0oooo00H0oooo0P0000000`3oool000000?ooo`020?ooo`030000 003oool0oooo00<0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0>0?ooo`030000 003oool0oooo02@0oooo00<000000?ooo`3oool0J@3oool3000008D0oooo00E000000?ooo`3oool0 oooo@000000:0?ooo`03@000003oool0oooo00d0oooo00<000000?ooo`3oool0R@3oool2000004h0 oooo00<000000?ooo`3oool0d@3oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`800000 0P3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool01`3oool00`000000 oooo0?ooo`0?0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool0J`3oool3000008<0 oooo0d00000<0?ooo`=00000303oool00`000000oooo0?ooo`2;0?ooo`030000003oool0oooo04X0 oooo00<000000?ooo`3oool0dP3oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`800000 0P3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool0203oool00`000000 oooo0?ooo`0?0?ooo`030000003oool0oooo02@0oooo0P00001^0?ooo`800000W`3oool00`000000 oooo0?ooo`2<0?ooo`030000003oool0oooo04P0oooo00<000000?ooo`3oool0d`3oool10=WIf@00 :03oool00`000000oooo0?ooo`060?ooo`8000000P3oool01@000000oooo0?ooo`3oool0000000D0 oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo02D0 oooo00<000000?ooo`3oool0K@3oool3000009`0oooo00<000000?ooo`3oool0S@3oool2000004L0 oooo00<000000?ooo`3oool0e03oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`800000 0P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0 203oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo02H0oooo0P00001`0?ooo`<00000 V@3oool00`000000oooo0?ooo`2?0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool0 e@3oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`050000003oool000000?ooo`000000 103oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0 403oool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo0700oooo0`00002F0?ooo`030000 003oool0oooo0900oooo0P0000120?ooo`030000003oool0oooo0=H0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool01P3oool00`000000oooo000000020?ooo`050000003oool0oooo0?ooo`000000 1@3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0 9`3oool00`000000oooo0?ooo`1b0?ooo`<00000T`3oool00`000000oooo0?ooo`2B0?ooo`030000 003oool0oooo03h0oooo00<000000?ooo`3oool0e`3oool10=WIf@00:03oool00`000000oooo0?oo o`060?ooo`030000003oool000000080oooo00D000000?ooo`3oool0oooo000000050?ooo`030000 003oool0oooo00P0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0W0?ooo`800000 M@3oool300000900oooo00<000000?ooo`3oool0T`3oool2000003d0oooo00<000000?ooo`3oool0 f03oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`030000003oool000000080oooo00<0 00000?ooo`3oool00P3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00P0oooo00<0 00000?ooo`3oool04@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo07D0oooo1000 002<0?ooo`80000000=000000?ooo`3oool0T`3oool2000003X0oooo00<000000?ooo`3oool0f@3o ool10=WIf@00:03oool00`000000oooo0?ooo`070?ooo`8000000P3oool00`000000oooo0?ooo`02 0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0@ 0?ooo`030000003oool0oooo02T0oooo00<000000?ooo`3oool0N03oool3000008T0oooo00<00000 0?ooo`3oool0U`3oool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo0=X0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool01`3oool200000080oooo00<000000?ooo`3oool00P3oool00`00 0000oooo0?ooo`030?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool04@3oool00`00 0000oooo0?ooo`0Y0?ooo`800000N`3oool3000008H0oooo00<000000?ooo`3oool0V03oool00`00 0000oooo0?ooo`0d0?ooo`030000003oool0oooo0=/0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool01`3oool2000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`030?ooo`03 0000003oool0oooo00T0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0Z0?ooo`03 0000003oool0oooo07/0oooo0`0000230?ooo`030000003oool0oooo09T0oooo0P00000c0?ooo`03 0000003oool0oooo0=`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool01`3oool00`000000oooo 000000020?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`090?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0:P3oool00`000000oooo 0?ooo`1m0?ooo`<00000P03oool00`000000oooo0?ooo`2K0?ooo`030000003oool0oooo02l0oooo 00<000000?ooo`3oool0g@3oool10=WIf@00:03oool00`000000oooo0?ooo`070?ooo`030000003o ool000000080oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`040?ooo`030000003o ool0oooo00T0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0Z0?ooo`800000P03o ool3000007d0oooo00<000000?ooo`3oool0W03oool00`000000oooo0?ooo`0]0?ooo`030000003o ool0oooo0=h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool01`3oool00`000000oooo00000002 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`09 0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0;03oool00`000000oooo0?ooo`20 0?ooo`<00000NP3oool00`000000oooo0?ooo`2M0?ooo`800000;03oool00`000000oooo0?ooo`3O 0?ooo`40fMWI000X0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`0000000`3oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool02P3oool00`00 0000oooo0?ooo`0B0?ooo`030000003oool0oooo02`0oooo0P0000230?ooo`<00000M`3oool00`00 0000oooo0?ooo`2O0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0h03oool10=WI f@00:03oool00`000000oooo0?ooo`070?ooo`030000003oool0000000<0oooo00<000000?ooo`3o ool00P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3o ool04`3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo08<0oooo1000001c0?ooo`03 0000003oool0oooo0:00oooo00<000000?ooo`3oool09P3oool00`000000oooo0?ooo`3Q0?ooo`40 fMWI000X0?ooo`030000003oool0oooo00L0oooo00@000000?ooo`3oool000000P3oool00`000000 oooo0?ooo`020?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool02P3oool00`000000 oooo0?ooo`0C0?ooo`030000003oool0oooo02d0oooo0P0000270?ooo`@00000K`3oool00`000000 oooo0?ooo`2Q0?ooo`8000009@3oool00`000000oooo0?ooo`3R0?ooo`40fMWI000X0?ooo`030000 003oool0oooo00L0oooo00@000000?ooo`3oool000000P3oool00`000000oooo0?ooo`030?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0C0?ooo`03 0000003oool0oooo02h0oooo00<000000?ooo`3oool0R03oool4000006/0oooo00<000000?ooo`3o ool0X`3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0><0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0203oool00`000000oooo000000030?ooo`030000003oool0oooo0080oooo 00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01@0oooo 00<000000?ooo`3oool0;P3oool2000008`0oooo0`00001X0?ooo`030000003oool0oooo0:@0oooo 00<000000?ooo`3oool07`3oool00`000000oooo0?ooo`3T0?ooo`40fMWI000X0?ooo`030000003o ool0oooo00P0oooo00<000000?ooo`0000000`3oool00`000000oooo0?ooo`020?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0D0?ooo`030000003o ool0oooo02l0oooo0P00002=0?ooo`@00000I03oool200000003@000003oool0oooo0:<0oooo0P00 000N0?ooo`030000003oool0oooo0>D0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0203oool0 0`000000oooo000000030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0<03oool0 0`000000oooo0?ooo`2>0?ooo`@00000H03oool00`000000oooo0?ooo`2W0?ooo`030000003oool0 oooo01X0oooo00<000000?ooo`3oool0iP3oool10=WIf@00:03oool00`000000oooo0?ooo`080?oo o`040000003oool0oooo00000080oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0` 0?ooo`800000TP3oool4000005`0oooo00<000000?ooo`3oool0Z03oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo0>L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0203oool01000 0000oooo0?ooo`0000030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0<@3oool0 0`000000oooo0?ooo`2C0?ooo`@00000F03oool00`000000oooo0?ooo`2Y0?ooo`030000003oool0 oooo01H0oooo00<000000?ooo`3oool0j03oool10=WIf@00:03oool00`000000oooo0?ooo`080?oo o`040000003oool0oooo000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`0a 0?ooo`800000U`3oool5000005<0oooo00<000000?ooo`3oool0ZP3oool00`000000oooo0?ooo`0D 0?ooo`030000003oool0oooo0>T0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0203oool01000 0000oooo0?ooo`0000030?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool00?ooo`030000003oool0oooo0:/0oooo0P00000C0?ooo`030000003oool0 oooo0>X0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0203oool010000000oooo0?ooo`000004 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0; 0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0<`3oool2000009d0oooo1000001: 0?ooo`030000003oool0oooo0:d0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`3[ 0?ooo`40fMWI000X0?ooo`030000003oool0oooo00T0oooo00@000000?ooo`3oool000000`3oool0 0`000000oooo0?ooo`020?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02`3oool0 0`000000oooo0?ooo`0G0?ooo`030000003oool0oooo03@0oooo0P00002O0?ooo`@00000AP3oool0 0`000000oooo0?ooo`2^0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0k03oool1 0=WIf@00:03oool00`000000oooo0?ooo`090?ooo`040000003oool0oooo000000<0oooo00<00000 0?ooo`3oool00`3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00`0oooo00<00000 0?ooo`3oool05`3oool00`000000oooo0?ooo`0e0?ooo`800000X@3oool400000480oooo00<00000 0?ooo`3oool0[`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0>d0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool02@3oool010000000oooo0?ooo`0000030?ooo`030000003oool0 oooo00<0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0 oooo01P0oooo00<000000?ooo`3oool0=P3oool200000:<0oooo1000000n0?ooo`030000003oool0 oooo0;00oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`3^0?ooo`40fMWI000X0?oo o`030000003oool0oooo00T0oooo00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`03 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo03L0oooo0P00002U0?ooo`D00000>@3oool00`000000oooo0?ooo`2a 0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0k`3oool10=WIf@00:03oool00`00 0000oooo0?ooo`090?ooo`050000003oool0oooo0?ooo`0000000`3oool00`000000oooo0?ooo`03 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo03P0oooo0`00002W0?ooo`D00000=03oool200000003@000003oool0 oooo0;00oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`3`0?ooo`40fMWI000X0?oo o`030000003oool0oooo00X0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`03 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo03X0oooo0P00002Z0?ooo`D00000;`3oool00`000000oooo0?ooo`2c 0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0l@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`0:0?ooo`040000003oool0oooo000000@0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`060?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool06@3oool0 0`000000oooo0?ooo`0k0?ooo`800000[@3oool4000002/0oooo00<000000?ooo`3oool0]03oool0 1@000000oooo0?ooo`3oool000000?@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool02P3oool0 10000000oooo0?ooo`0000040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01P3o ool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01T0oooo0P00000m0?ooo`800000[`3o ool4000002L0oooo00<000000?ooo`3oool0]@3oool00`000000oooo0000003e0?ooo`40fMWI000X 0?ooo`030000003oool0oooo00X0oooo00D000000?ooo`3oool0oooo000000030?ooo`030000003o ool0oooo00<0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0=0?ooo`030000003o ool0oooo01X0oooo00<000000?ooo`3oool0?03oool200000;40oooo1000000S0?ooo`030000003o ool0oooo0;H0oooo00<000000?ooo`3oool0m03oool10=WIf@00:03oool00`000000oooo0?ooo`0; 0?ooo`040000003oool0oooo000000<0oooo00<000000?ooo`3oool0103oool00`000000oooo0?oo o`060?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?oo o`0m0?ooo`800000/`3oool4000001l0oooo00<000000?ooo`3oool0]@3oool00`000000oooo0?oo o`3e0?ooo`40fMWI000X0?ooo`030000003oool0oooo00/0oooo00@000000?ooo`3oool00000103o ool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03@3o ool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo03h0oooo0P00002e0?ooo`@000006`3o ool00`000000oooo0?ooo`2d0?ooo`030000003oool0oooo0?H0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool02`3oool010000000oooo0?ooo`0000040?ooo`030000003oool0oooo00<0oooo00<0 00000?ooo`3oool0203oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01/0oooo00<0 00000?ooo`3oool0?`3oool200000;L0oooo1@00000F0?ooo`030000003oool0oooo0;<0oooo00<0 00000?ooo`3oool0m`3oool10=WIf@00:03oool00`000000oooo0?ooo`0;0?ooo`050000003oool0 oooo0?ooo`0000000`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00L0oooo00<0 00000?ooo`3oool03P3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0400oooo0P00 002j0?ooo`D000004@3oool00`000000oooo0?ooo`2b0?ooo`030000003oool0oooo0?P0oooo0@3I fMT002P0oooo00<000000?ooo`3oool02`3oool01@000000oooo0?ooo`3oool0000000<0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00h0oooo00<0 00000?ooo`3oool06`3oool200000480oooo0P00002m0?ooo`D00000303oool00`000000oooo0?oo o`2b0?ooo`030000003oool0oooo02L0oooo00=000000?ooo`3oool0cP3oool10=WIf@00:03oool0 0`000000oooo0?ooo`0<0?ooo`040000003oool0oooo000000@0oooo00<000000?ooo`3oool0103o ool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool07@3o ool00`000000oooo0?ooo`110?ooo`800000[P3oool3@00000@0oooo0T0000050?ooo`=0000000<0 oooo0000000000000`0000070?ooo`030000003oool0oooo0;40oooo00<000000?ooo`3oool08P3o ool3@00000030?oood000000oooo009000000`3oool4@00000L0oooo0d00002n0?ooo`40fMWI000X 0?ooo`030000003oool0oooo00`0oooo00D000000?ooo`3oool0oooo000000030?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0>0?ooo`030000003o ool0oooo01d0oooo00<000000?ooo`3oool0@P3oool200000:/0oooo00E000000?ooo`3oool0oooo @00000090?ooo`05@000003oool0oooo0?oood0000001@3oool500000080oooo00<000000?ooo`3o ool0/03oool00`000000oooo0?ooo`0T0?ooo`08@000003oool0oooo@000003ooom000000?oood00 00070?ooo`A000000`3oool00d000000oooo0?ooo`2m0?ooo`40fMWI000X0?ooo`030000003oool0 oooo00`0oooo00D000000?ooo`3oool0oooo000000030?ooo`030000003oool0oooo00@0oooo00<0 00000?ooo`3oool0203oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo01d0oooo00<0 00000?ooo`3oool0@`3oool200000:T0oooo00E000000?ooo`3oool0oooo@00000090?ooo`05@000 003oool0oooo0?oood0000002P3oool900000:/0oooo00<000000?ooo`3oool09@3oool00d000000 oooo@00000070?ooo`A00000203oool00d000000oooo0?ooo`2m0?ooo`40fMWI000X0?ooo`030000 003oool0oooo00`0oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo00@0 oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo01d0 oooo0P0000150?ooo`800000Y`3oool01D000000oooo0?ooo`3ooom0000000X0oooo0d00000=0?oo o`030000003oool0oooo00@0oooo0P00002X0?ooo`030000003oool0oooo02L0oooo0T00000D0?oo o`03@000003oool0oooo0;`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool03@3oool010000000 oooo0?ooo`0000040?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0203oool00`00 0000oooo0?ooo`0?0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool0A03oool30000 0:@0oooo00E000000?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000303o ool00`000000oooo0?ooo`060?ooo`@00000X`3oool00`000000oooo0?ooo`0X0?ooo`03@000003o oom000000180oooo0T00002n0?ooo`40fMWI000X0?ooo`030000003oool0oooo00d0oooo00D00000 0?ooo`3oool0oooo000000030?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0203o ool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo01l0oooo0P0000170?ooo`800000XP3o ool01D000000oooo0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000000<0?ooo`03 0000003oool0oooo00X0oooo1@00002M0?ooo`030000003oool0oooo02P0oooo0T0000000`3ooom0 0000@000000B0?ooo`03@000003oool0oooo0;`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 3@3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool0103oool00`000000 oooo0?ooo`080?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0803oool00`000000 oooo0?ooo`160?ooo`<00000X03oool3@00000/0oooo0d00000=0?ooo`030000003oool0oooo00l0 oooo1@00002G0?ooo`030000003oool0oooo0?l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 3@3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool01@3oool00`000000 oooo0?ooo`080?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0803oool00`000000 oooo0?ooo`180?ooo`<00000^`3oool00`000000oooo0?ooo`0D0?ooo`@00000TP3oool00`000000 oooo0?ooo`3o0?ooo`40oooo0@3IfMT002P0oooo00<000000?ooo`3oool03P3oool01@000000oooo 0?ooo`3oool0000000<0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`080?ooo`03 0000003oool0oooo0140oooo00<000000?ooo`3oool0803oool2000004/0oooo0P00002i0?ooo`03 0000003oool0oooo01P0oooo0P00002?0?ooo`030000003oool0oooo0?l0oooo0P3oool10=WIf@00 :03oool00`000000oooo0?ooo`0>0?ooo`050000003oool0oooo0?ooo`000000103oool00`000000 oooo0?ooo`050?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool04@3oool00`000000 oooo0?ooo`0Q0?ooo`030000003oool0oooo04X0oooo0`00002f0?ooo`030000003oool0oooo01X0 oooo1000002:0?ooo`030000003oool0oooo0?l0oooo0`3oool10=WIf@00:03oool00`000000oooo 0?ooo`0>0?ooo`050000003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo00P0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0Q0?ooo`80 0000C@3oool300000;<0oooo00<000000?ooo`3oool07P3oool4000008D0oooo00<000000?ooo`3o ool0o`3oool40?ooo`40fMWI000X0?ooo`030000003oool0oooo00h0oooo00D000000?ooo`3oool0 oooo000000040?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0203oool00`000000 oooo0?ooo`0B0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool0C@3oool300000;00 oooo00<000000?ooo`3oool08P3oool200000880oooo00<000000?ooo`3oool0o`3oool50?ooo`40 fMWI000X0?ooo`030000003oool0oooo00l0oooo00D000000?ooo`3oool0oooo000000040?ooo`03 0000003oool0oooo00D0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0B0?ooo`03 0000003oool0oooo0280oooo0P00001@0?ooo`800000[P3oool00`000000oooo0?ooo`0T0?ooo`@0 0000O@3oool00`000000oooo0?ooo`3o0?ooo`H0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 3`3oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool01P3oool00`000000 oooo0?ooo`090?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool08`3oool00`000000 oooo0?ooo`1?0?ooo`<00000Z`3oool200000003@000003oool0oooo02H0oooo1000001h0?ooo`03 0000003oool0oooo0?l0oooo1`3oool10=WIf@00:03oool00`000000oooo0?ooo`0?0?ooo`050000 003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00T0 oooo00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`0S0?ooo`800000DP3oool300000:P0 oooo00<000000?ooo`3oool0;03oool3000007@0oooo00<000000?ooo`3oool0o`3oool80?ooo`40 fMWI000X0?ooo`030000003oool0oooo00l0oooo00D000000?ooo`3oool0oooo000000050?ooo`03 0000003oool0oooo00H0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0C0?ooo`03 0000003oool0oooo02@0oooo0P00001C0?ooo`<00000Y@3oool00`000000oooo0?ooo`0_0?ooo`<0 0000L03oool00`000000oooo0?ooo`3o0?ooo`T0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 403oool01@000000oooo0?ooo`3oool0000000@0oooo00<000000?ooo`3oool01P3oool00`000000 oooo0?ooo`0:0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool09@3oool00`000000 oooo0?ooo`1C0?ooo`800000X`3oool00`000000oooo0?ooo`0b0?ooo`800000K@3oool00`000000 oooo0?ooo`3o0?ooo`X0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0403oool01@000000oooo 0?ooo`3oool0000000D0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0:0?ooo`03 0000003oool0oooo01<0oooo00<000000?ooo`3oool09@3oool2000005D0oooo0`00002P0?ooo`03 0000003oool0oooo03@0oooo0P00001Z0?ooo`030000003oool0oooo0?l0oooo2`3oool10=WIf@00 :03oool00`000000oooo0?ooo`0@0?ooo`050000003oool0oooo0?ooo`0000001@3oool00`000000 oooo0?ooo`060?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool04`3oool00`000000 oooo0?ooo`0V0?ooo`800000EP3oool3000009d0oooo00<000000?ooo`3oool0=P3oool2000006L0 oooo00<000000?ooo`3oool0o`3oool<0?ooo`40fMWI000X0?ooo`030000003oool0oooo0100oooo 00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00L0oooo 00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo02L0oooo 00<000000?ooo`3oool0EP3oool2000009/0oooo00<000000?ooo`3oool0>03oool3000006<0oooo 00<000000?ooo`3oool0o`3oool=0?ooo`40fMWI000X0?ooo`030000003oool0oooo0140oooo00D0 00000?ooo`3oool0oooo000000050?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0 2P3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo02L0oooo0P00001H0?ooo`<00000 V03oool00`000000oooo0?ooo`0k0?ooo`<00000G`3oool00`000000oooo0?ooo`3o0?ooo`h0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool04@3oool01@000000oooo0?ooo`3oool0000000D0oooo 00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo01@0oooo 00<000000?ooo`3oool0:03oool2000005T0oooo0`00002E0?ooo`030000003oool0oooo03h0oooo 0`00001K0?ooo`030000003oool0oooo0?l0oooo3`3oool10=WIf@00:03oool00`000000oooo0?oo o`0A0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00`3oool00`000000oooo0?oo o`070?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0503oool00`000000oooo0?oo o`0Y0?ooo`030000003oool0oooo05T0oooo1000002A0?ooo`030000003oool0oooo0440oooo0P00 001H0?ooo`030000003oool0oooo0?l0oooo403oool10=WIf@00:03oool00`000000oooo0?ooo`0A 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`07 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05@3oool2000002X0oooo0P00001M 0?ooo`@00000S@3oool00`000000oooo0?ooo`130?ooo`800000E@3oool00`000000oooo0?ooo`3o 0?oooa40oooo0@3IfMT002P0oooo00<000000?ooo`3oool04P3oool01@000000oooo0?ooo`3oool0 000000H0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0 oooo01H0oooo00<000000?ooo`3oool0:@3oool2000005l0oooo100000290?ooo`030000003oool0 oooo04D0oooo0P00001B0?ooo`030000003oool0oooo0?l0oooo4P3oool10=WIf@00:03oool00`00 0000oooo0?ooo`0B0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00`3oool00`00 0000oooo0?ooo`070?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool05P3oool00`00 0000oooo0?ooo`0Z0?ooo`800000H@3oool3000008H0oooo0P0000000d000000oooo0?ooo`150?oo o`800000C`3oool00`000000oooo0?ooo`3o0?oooa<0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool04P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3o ool01`3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3o ool0:`3oool00`000000oooo0?ooo`1Q0?ooo`<00000P`3oool00`000000oooo0?ooo`190?ooo`80 0000C03oool00`000000oooo0?ooo`3o0?oooa@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 4`3oool01@000000oooo0?ooo`3oool0000000H0oooo00<000000?ooo`3oool0203oool00`000000 oooo0?ooo`0<0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0:`3oool2000006@0 oooo0`0000200?ooo`030000003oool0oooo04/0oooo0P0000190?ooo`030000003oool0oooo0?l0 oooo5@3oool10=WIf@00:03oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo0080oooo 00<000000?ooo`3oool0103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00`0oooo 00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`0/0?ooo`800000I@3oool3000007d0oooo 00<000000?ooo`3oool0C@3oool2000004H0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI 000X0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?oo o`040?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo o`0G0?ooo`030000003oool0oooo02d0oooo0P00001V0?ooo`<00000NP3oool00`000000oooo0?oo o`1?0?ooo`800000@`3oool00`000000oooo0?ooo`3o0?oooaL0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool04`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<00000 0?ooo`3oool01`3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01L0oooo0P00000_ 0?ooo`800000I`3oool3000007L0oooo00<000000?ooo`3oool0D@3oool200000400oooo00<00000 0?ooo`3oool0o`3ooolH0?ooo`40fMWI000X0?ooo`030000003oool0oooo01@0oooo00<000000?oo o`3oool00P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00P0oooo00<000000?oo o`3oool03@3oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo02h0oooo0P00001X0?oo o`@00000L`3oool00`000000oooo0?ooo`1C0?ooo`030000003oool0oooo03`0oooo00<000000?oo o`3oool0o`3ooolI0?ooo`40fMWI000X0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3o ool00P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3o ool03P3oool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo02l0oooo0P00001Z0?ooo`@0 0000K`3oool00`000000oooo0?ooo`1D0?ooo`800000>`3oool00`000000oooo0?ooo`3o0?oooaX0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`030?ooo`030000 003oool0oooo00@0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0>0?ooo`030000 003oool0oooo01P0oooo00<000000?ooo`3oool0<03oool2000006`0oooo1000001[0?ooo`030000 003oool0oooo05H0oooo0P00000h0?ooo`030000003oool0oooo0?l0oooo6`3oool10=WIf@00:03o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3o ool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0603o ool200000380oooo0`00001]0?ooo`<00000J03oool00`000000oooo0?ooo`1H0?ooo`030000003o ool0oooo03@0oooo00<000000?ooo`3oool0o`3ooolL0?ooo`40fMWI000X0?ooo`030000003oool0 oooo01D0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`050?ooo`030000003oool0 oooo00T0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0 oooo0380oooo0P00001^0?ooo`@00000I03oool00`000000oooo0?ooo`1I0?ooo`800000<`3oool0 0`000000oooo0?ooo`3o0?oooad0oooo0@3IfMT002P0oooo00<000000?ooo`3oool05P3oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0203oool00`00 0000oooo0?ooo`0?0?ooo`030000003oool0oooo01T0oooo0P00000d0?ooo`800000L03oool40000 0600oooo0P0000000d000000oooo0?ooo`1I0?ooo`800000<03oool00`000000oooo0?ooo`3o0?oo oah0oooo0@3IfMT002P0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo00D0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0?0?ooo`03 0000003oool0oooo01X0oooo00<000000?ooo`3oool0<`3oool300000740oooo1000001L0?ooo`03 0000003oool0oooo05d0oooo00<000000?ooo`3oool0;03oool00`000000oooo0?ooo`3o0?oooal0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`030?ooo`030000 003oool0oooo00D0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0?0?ooo`030000 003oool0oooo01X0oooo0P00000f0?ooo`800000L`3oool3000005T0oooo00<000000?ooo`3oool0 GP3oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo0?l0oooo803oool10=WIf@00:03o ool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01P3o ool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool06`3o ool00`000000oooo0?ooo`0e0?ooo`800000M03oool4000005D0oooo00<000000?ooo`3oool0G`3o ool2000002T0oooo00<000000?ooo`3oool0o`3ooolQ0?ooo`40fMWI000X0?ooo`030000003oool0 oooo01L0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`050?ooo`030000003oool0 oooo00T0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0K0?ooo`800000=`3oool3 000007D0oooo1000001A0?ooo`030000003oool0oooo0640oooo00<000000?ooo`3oool09@3oool0 0`000000oooo0?ooo`3o0?ooob80oooo0@3IfMT002P0oooo00<000000?ooo`3oool05`3oool00`00 0000oooo0?ooo`030?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02@3oool00`00 0000oooo0?ooo`0@0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0=`3oool20000 07L0oooo1000001=0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool08`3oool00`00 0000oooo0?ooo`3o0?ooob<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0603oool00`000000 oooo0?ooo`030?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool02P3oool00`000000 oooo0?ooo`0@0?ooo`030000003oool0oooo01`0oooo0P00000i0?ooo`800000N@3oool5000004P0 oooo00<000000?ooo`3oool0H`3oool200000280oooo00<000000?ooo`3oool0o`3ooolT0?ooo`40 fMWI000X0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`060?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0403oool00`000000oooo 0?ooo`0M0?ooo`030000003oool0oooo03P0oooo0`00001k0?ooo`D00000@`3oool00`000000oooo 0?ooo`1U0?ooo`8000007`3oool00`000000oooo0?ooo`3o0?ooobD0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool06@3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00H0oooo00<0 00000?ooo`3oool02P3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo01d0oooo0P00 000k0?ooo`800000OP3oool5000003h0oooo00<000000?ooo`3oool0I`3oool2000001`0oooo00<0 00000?ooo`3oool0o`3ooolV0?ooo`40fMWI000X0?ooo`030000003oool0oooo01T0oooo00<00000 0?ooo`3oool00`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00X0oooo00<00000 0?ooo`3oool04@3oool00`000000oooo0?ooo`0N0?ooo`800000>`3oool300000800oooo1@00000i 0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`3o 0?ooobL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`040?oo o`030000003oool0oooo00H0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0A0?oo o`030000003oool0oooo01l0oooo00<000000?ooo`3oool0>`3oool300000880oooo1@00000S0?oo o`E00000303oool00`000000oooo0?ooo`1Z0?ooo`030000003oool0oooo01H0oooo00<000000?oo o`3oool0o`3ooolX0?ooo`40fMWI000X0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3o ool00`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3o ool04@3oool200000200oooo0P00000n0?ooo`800000Q@3oool500000200oooo00=000000?ooo`3o ool0303oool00`000000oooo0?ooo`1[0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3o ool0o`3ooolY0?ooo`40fMWI000X0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3oool0 103oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0 4P3oool00`000000oooo0?ooo`0O0?ooo`800000?P3oool3000008L0oooo1@00000K0?ooo`03@000 003oool0oooo00`0oooo100000000d000000oooo0?ooo`1X0?ooo`030000003oool0oooo0180oooo 00<000000?ooo`3oool0o`3ooolZ0?ooo`40fMWI000X0?ooo`030000003oool0oooo01X0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00/0oooo00<0 00000?ooo`3oool04`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo03h0oooo0`00 00290?ooo`D000005P3oool00d000000oooo0?ooo`0<0?ooo`030000003oool0oooo06d0oooo00<0 00000?ooo`3oool0403oool00`000000oooo0?ooo`3o0?ooob/0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool06`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00H0oooo00<00000 0?ooo`3oool02`3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo0200oooo0P000011 0?ooo`800000S03oool500000140oooo00=000000?ooo`3oool0303oool00`000000oooo0?ooo`1^ 0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0o`3oool/0?ooo`40fMWI000X0?oo o`030000003oool0oooo01/0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo00/0oooo00<000000?ooo`3oool04`3oool200000280oooo0P0000110?oo o`<00000SP3oool5000000`0oooo00=000000?ooo`3oool0303oool00`000000oooo0?ooo`1_0?oo o`8000003@3oool00`000000oooo0?ooo`3o0?ooobd0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0703oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3o ool02`3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo0240oooo0P0000120?ooo`80 0000T@3oool5000000H0oooo0T00000>0?ooo`030000003oool0oooo0740oooo00<000000?ooo`3o ool02@3oool00`000000oooo0?ooo`3o0?ooobh0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 703oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0 303oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo0280oooo0P0000120?ooo`<00000 T`3oool500000140oooo00<000000?ooo`3oool0LP3oool00`000000oooo0?ooo`070?ooo`030000 003oool0oooo0?l0oooo;`3oool10=WIf@00:03oool00`000000oooo0?ooo`0M0?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0<0?ooo`030000003o ool0oooo01@0oooo00<000000?ooo`3oool08`3oool2000004<0oooo0P00002F0?ooo`D00000303o ool00`000000oooo0?ooo`1c0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0o`3o ool`0?ooo`40fMWI000X0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`070?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0503oool2 000002D0oooo0P0000130?ooo`<00000V03oool5000000L0oooo00<000000?ooo`3oool0M03oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo0?l0oooo<@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`0N0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0203oool00`00 0000oooo0?ooo`0<0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0903oool20000 04@0oooo1000002I0?ooo`D000000P3oool00`000000oooo0?ooo`1d0?ooo`030000003oool0oooo 0080oooo00<000000?ooo`3oool0o`3ooolb0?ooo`40fMWI000X0?ooo`030000003oool0oooo01h0 oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00`0 oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0U0?ooo`800000AP3oool4000009X0 oooo1000001f0?ooo`040000003oool0oooo00000?l0oooo=@3oool10=WIf@00:03oool00`000000 oooo0?ooo`0O0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0203oool00`000000 oooo0?ooo`0<0?ooo`8000005P3oool2000002L0oooo0P0000180?ooo`@00000V03oool00`000000 oooo0000000600000700oooo00=000000000003oool0o`3ooole0?ooo`40fMWI000X0?ooo`030000 003oool0oooo01l0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`080?ooo`030000 003oool0oooo00h0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0V0?ooo`<00000 B@3oool3000009D0oooo0P0000000d000000oooo0?ooo`040?ooo`<00000K@3oool00`000000oooo 0?ooo`3o0?ooocD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0803oool00`000000oooo0?oo o`050?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0E0?ooo`800000:@3oool2000004X0oooo0`00002B0?ooo`030000003oool0oooo00T0oooo1000 001X0?ooo`030000003oool0oooo0?l0oooo=P3oool10=WIf@00:03oool00`000000oooo0?ooo`0P 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0> 0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0:03oool2000004/0oooo0`00002? 0?ooo`030000003oool0oooo00d0oooo1`00001P0?ooo`030000003oool0oooo0?l0oooo=`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo00D0oooo00<000000?oo o`3oool02@3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo01H0oooo0P00000Z0?oo o`800000C03oool3000008`0oooo00<000000?ooo`3oool0503oool4000005/0oooo00<000000?oo o`3oool0o`3ooolh0?ooo`40fMWI000X0?ooo`030000003oool0oooo0240oooo00<000000?ooo`3o ool01P3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3o ool05`3oool00`000000oooo0?ooo`0Y0?ooo`<00000C03oool3000008T0oooo00<000000?ooo`3o ool0603oool3000005L0oooo00<000000?ooo`3oool09`3oool00d000000oooo0?ooo`3o0?ooo`l0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`050?ooo`030000 003oool0oooo00X0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0G0?ooo`800000 ;03oool2000004d0oooo0`0000260?ooo`030000003oool0oooo01/0oooo0`00001C0?ooo`030000 003oool0oooo02P0oooo0T00003o0?oooa00oooo0@3IfMT002P0oooo00<000000?ooo`3oool08P3o ool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool03`3o ool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo02/0oooo0P00001>0?ooo`@00000PP3o ool00`000000oooo0?ooo`0N0?ooo`800000D03oool00`000000oooo0?ooo`0R0?ooo`=0000000P0 oooo@000003oool0oooo@000003ooom000000?ooo`A000001`3oool3@0000?l0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00T0 oooo00<000000?ooo`3oool03`3oool2000001T0oooo0P00000]0?ooo`<00000C`3oool4000007h0 oooo00<000000?ooo`3oool0803oool2000004d0oooo00<000000?ooo`3oool0903oool014000000 oooo0?oood00000<0?ooo`A000000P3oool00d000000oooo0?ooo`3n0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo02<0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`090?ooo`03 0000003oool0oooo0100oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`0]0?ooo`80 0000D@3oool4000007X0oooo00<000000?ooo`3oool08P3oool4000004P0oooo00<000000?ooo`3o ool09@3oool00d000000oooo@00000070?ooo`A000002@3oool00d000000oooo0?ooo`3m0?ooo`40 fMWI000X0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool01P3oool00`000000oooo 0?ooo`0:0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0603oool2000002l0oooo 0`00001B0?ooo`<00000M`3oool00`000000oooo0?ooo`0V0?ooo`<00000A03oool00`000000oooo 0?ooo`0W0?ooo`9000005@3oool00d000000oooo0?ooo`3l0?ooo`40fMWI000X0?ooo`030000003o ool0oooo02@0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0:0?ooo`030000003o ool0oooo0100oooo0P00000J0?ooo`800000<03oool2000005<0oooo1000001c0?ooo`030000003o ool0oooo02T0oooo0`0000100?ooo`030000003oool0oooo02P0oooo00=000000?oood0000004P3o ool00d000000oooo@000003n0?ooo`40fMWI000X0?ooo`030000003oool0oooo02D0oooo00<00000 0?ooo`3oool01`3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo0140oooo00<00000 0?ooo`3oool06@3oool200000300oooo0`00001D0?ooo`@00000K`3oool00`000000oooo0?ooo`0/ 0?ooo`800000?@3oool00`000000oooo0?ooo`0X0?ooo`90000000<0oooo@000040000004P3oool2 @0000?h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool09P3oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo00X0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0J0?oo o`800000<@3oool2000005H0oooo1000001[0?ooo`80000000=000000?ooo`3oool0;03oool20000 03X0oooo00<000000?ooo`3oool0o`3ooom10?ooo`40fMWI000X0?ooo`030000003oool0oooo02L0 oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo0140 oooo0P00000L0?ooo`800000<@3oool3000005L0oooo1@00001V0?ooo`030000003oool0oooo0300 oooo0`00000f0?ooo`030000003oool0oooo0?l0oooo@P3oool10=WIf@00:03oool00`000000oooo 0?ooo`0W0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool02P3oool00`000000oooo 0?ooo`0B0?ooo`030000003oool0oooo01/0oooo0P00000b0?ooo`<00000F@3oool500000640oooo 00<000000?ooo`3oool0<`3oool2000003<0oooo00<000000?ooo`3oool0o`3ooom30?ooo`40fMWI 000X0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?oo o`0;0?ooo`8000004`3oool00`000000oooo0?ooo`0L0?ooo`800000<`3oool2000005`0oooo1@00 001L0?ooo`030000003oool0oooo03D0oooo0P00000`0?ooo`030000003oool0oooo0?l0ooooA03o ool10=WIf@00:03oool00`000000oooo0?ooo`0Y0?ooo`030000003oool0oooo00L0oooo00<00000 0?ooo`3oool0303oool00`000000oooo0?ooo`0A0?ooo`8000007P3oool2000003<0oooo0`00001N 0?ooo`D00000E`3oool00`000000oooo0?ooo`0g0?ooo`800000;@3oool00`000000oooo0?ooo`3o 0?ooodD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0:P3oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo00`0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0M0?oo o`800000=03oool300000600oooo1@00001B0?ooo`030000003oool0oooo03T0oooo00<000000?oo o`3oool0:@3oool00`000000oooo0?ooo`3o0?ooodH0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0:P3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3o ool04P3oool2000001l0oooo0P00000e0?ooo`<00000HP3oool5000004d0oooo00<000000?ooo`3o ool0>P3oool2000002P0oooo00<000000?ooo`3oool0o`3ooom70?ooo`40fMWI000X0?ooo`030000 003oool0oooo02/0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0<0?ooo`030000 003oool0oooo01<0oooo00<000000?ooo`3oool07P3oool2000003H0oooo0`00001T0?ooo`@00000 B@3oool00`000000oooo0?ooo`0l0?ooo`8000009@3oool00`000000oooo0?ooo`3o0?ooodP0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0;03oool00`000000oooo0?ooo`080?ooo`030000003o ool0oooo00`0oooo00<000000?ooo`3oool04`3oool200000200oooo0P00000g0?ooo`<00000I@3o ool4000004D0oooo00<000000?ooo`3oool0?P3oool200000280oooo00<000000?ooo`3oool0o`3o oom90?ooo`40fMWI000X0?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool01`3oool0 0`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01@0oooo0P00000P0?ooo`800000>03oool4 000006D0oooo100000110?ooo`030000003oool0oooo0400oooo00<000000?ooo`3oool07P3oool0 0`000000oooo0?ooo`3o0?ooodX0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0;P3oool00`00 0000oooo0?ooo`070?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool05@3oool00`00 0000oooo0?ooo`0O0?ooo`800000>P3oool3000006H0oooo1000000m0?ooo`030000003oool0oooo 0440oooo0P00000M0?ooo`030000003oool0oooo0?l0ooooB`3oool10=WIf@00:03oool00`000000 oooo0?ooo`0_0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03@3oool2000001H0 oooo0P00000Q0?ooo`<00000>P3oool3000006L0oooo1@00000h0?ooo`030000003oool0oooo04<0 oooo0P00000J0?ooo`030000003oool0oooo0?l0ooooC03oool10=WIf@00:03oool00`000000oooo 0?ooo`0`0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03P3oool00`000000oooo 0?ooo`0E0?ooo`030000003oool0oooo0240oooo0P00000k0?ooo`<00000J@3oool800000300oooo 0P0000000d000000oooo0?ooo`130?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0 o`3ooom=0?ooo`40fMWI000X0?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool01`3o ool2000000l0oooo0P00000F0?ooo`8000008`3oool3000003/0oooo0P00001_0?ooo`H00000:P3o ool00`000000oooo0?ooo`160?ooo`8000005@3oool00`000000oooo0?ooo`3o0?ooodh0oooo0@3I fMT002P0oooo00<000000?ooo`3oool00?ooo`800000603oool2000002D0 oooo0`00000k0?ooo`<00000MP3oool5000001/0oooo00<000000?ooo`3oool0BP3oool00`000000 oooo0?ooo`0=0?ooo`030000003oool0oooo0?l0ooooD@3oool10=WIf@00:03oool00`000000oooo 0?ooo`0d0?ooo`030000003oool0oooo00T0oooo0P00000@0?ooo`030000003oool0oooo01L0oooo 0P00000V0?ooo`<00000>`3oool4000007L0oooo1@00000F0?ooo`030000003oool0oooo04/0oooo 00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`3o0?oooe80oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0=@3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo00h0oooo0P00 000I0?ooo`8000009`3oool2000003d0oooo1000001h0?ooo`D000004@3oool00`000000oooo0?oo o`1<0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0o`3ooomC0?ooo`40fMWI000X 0?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0? 0?ooo`030000003oool0oooo01P0oooo0P00000W0?ooo`<00000?P3oool4000007T0oooo1P00000; 0?ooo`030000003oool0oooo04d0oooo0P0000080?ooo`030000003oool0oooo0?l0ooooE03oool1 0=WIf@00:03oool00`000000oooo0?ooo`0g0?ooo`030000003oool0oooo00X0oooo00<000000?oo o`3oool03`3oool2000001X0oooo0P00000X0?ooo`800000@03oool5000007X0oooo200000030?oo o`030000003oool0oooo04l0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`3o0?oo oeD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0>03oool00`000000oooo0?ooo`0:0?ooo`80 00004@3oool00`000000oooo0?ooo`0I0?ooo`800000:03oool300000480oooo1@00001Q0?ooo`E0 00000`3oool2@00000@0oooo1D0000090?ooo`L00000C`3oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo0?l0ooooEP3oool10=WIf@00:03oool00`000000oooo0?ooo`0i0?ooo`030000 003oool0oooo00/0oooo00<000000?ooo`3oool03`3oool2000001/0oooo0`00000X0?ooo`800000 A@3oool6000005d0oooo00=000000?ooo`3oool02@3oool00d000000oooo0?ooo`0>0?ooo`040000 003oool0oooo0?ooo`D00000B`3oool010000000oooo0?ooo`00003o0?oooeT0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0>P3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0100 oooo0P00000L0?ooo`800000:03oool3000004P0oooo1@00001H0?ooo`03@000003oool0oooo00X0 oooo00=000000?ooo`3oool03@3oool400000003@000003oool0oooo0080oooo1@0000170?ooo`03 @00000000000oooo0?l0ooooF@3oool10=WIf@00:03oool00`000000oooo0?ooo`0k0?ooo`030000 003oool0oooo00/0oooo0P00000B0?ooo`800000703oool2000002T0oooo100000190?ooo`@00000 E03oool00d000000oooo0?ooo`0;0?ooo`03@000003oool0oooo00`0oooo00<000000?ooo`3oool0 2`3oool600000440oooo00<000000?ooo`3oool0o`3ooomI0?ooo`40fMWI000X0?ooo`030000003o ool0oooo03`0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0A0?ooo`800000703o ool3000002X0oooo0`00001:0?ooo`D00000C`3oool00d000000oooo0?ooo`0<0?ooo`03@000003o ool0oooo00/0oooo00<000000?ooo`3oool04@3oool2000003h0oooo00<000000?ooo`3oool0o`3o oomJ0?ooo`40fMWI000X0?ooo`030000003oool0oooo03d0oooo0P00000=0?ooo`8000004`3oool2 000001d0oooo0P00000[0?ooo`@00000B`3oool4000004/0oooo00=000000?ooo`3oool02@3oool0 1D000000oooo0?ooo`3ooom0000000`0oooo00<000000?ooo`3oool04`3oool5000003P0oooo00<0 00000?ooo`3oool0o`3ooomK0?ooo`40fMWI000X0?ooo`030000003oool0oooo03l0oooo00<00000 0?ooo`3oool0303oool2000001<0oooo0P00000M0?ooo`800000;@3oool3000004`0oooo10000016 0?ooo`900000303oool3@00000d0oooo00<000000?ooo`3oool0603oool3000003@0oooo00<00000 0?ooo`3oool0o`3ooomL0?ooo`40fMWI000X0?ooo`030000003oool0oooo0400oooo00<000000?oo o`3oool03@3oool00`000000oooo0?ooo`0B0?ooo`8000007@3oool3000002d0oooo1000001<0?oo o`@00000H03oool00`000000oooo0?ooo`0K0?ooo`<00000<03oool00`000000oooo0?ooo`3o0?oo oed0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0@@3oool00`000000oooo0?ooo`0=0?ooo`80 0000503oool00`000000oooo0?ooo`0M0?ooo`800000;`3oool4000004`0oooo1000001L0?ooo`03 0000003oool0oooo01h0oooo0P00000]0?ooo`030000003oool0oooo0?l0ooooGP3oool10=WIf@00 :03oool00`000000oooo0?ooo`120?ooo`8000003`3oool00`000000oooo0?ooo`0B0?ooo`800000 7`3oool300000300oooo1000001<0?ooo`H00000EP3oool00`000000oooo0?ooo`0P0?ooo`<00000 :@3oool00`000000oooo0?ooo`080?ooo`03@000003oool0oooo0?l0ooooE03oool10=WIf@00:03o ool00`000000oooo0?ooo`140?ooo`030000003oool0oooo00d0oooo0P00000D0?ooo`800000803o ool300000340oooo1000001>0?ooo`P00000CP3oool00`000000oooo0?ooo`0S0?ooo`8000009P3o ool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo0?l0ooooD`3oool10=WIf@00:03oool0 0`000000oooo0?ooo`150?ooo`030000003oool0oooo00h0oooo0P00000D0?ooo`8000008@3oool2 000003<0oooo1000001B0?ooo`H00000B03oool00`000000oooo0?ooo`0U0?ooo`<000008P3oool0 0`000000oooo0?ooo`0<0?ooo`030000003oool0oooo0?l0ooooDP3oool10=WIf@00:03oool00`00 0000oooo0?ooo`160?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool04`3oool20000 0240oooo0`00000d0?ooo`<00000E@3oool4000004@0oooo00<000000?ooo`3oool0:03oool30000 01h0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`3o0?oooe80oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0A`3oool200000100oooo0P00000E0?ooo`8000008P3oool3000003@0 oooo1000001E0?ooo`D00000?`3oool00`000000oooo0?ooo`0[0?ooo`8000006`3oool00`000000 oooo0?ooo`0?0?ooo`030000003oool0oooo0?l0ooooD@3oool10=WIf@00:03oool00`000000oooo 0?ooo`190?ooo`030000003oool0oooo00l0oooo0P00000E0?ooo`8000008`3oool3000003D0oooo 0`00001G0?ooo`H00000>@3oool200000003@000003oool0oooo02/0oooo00<000000?ooo`3oool0 5`3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooD03oool10=WIf@00:03o ool00`000000oooo0?ooo`1:0?ooo`030000003oool0oooo0100oooo0P00000E0?ooo`<000008`3o ool3000003D0oooo1000001I0?ooo`P00000<@3oool00`000000oooo0?ooo`0^0?ooo`8000005P3o ool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooD@3oool10=WIf@00:03oool0 0`000000oooo0?ooo`1;0?ooo`8000004P3oool2000001H0oooo0P00000T0?ooo`<00000=P3oool4 000005d0oooo1`00000Z0?ooo`030000003oool0oooo0300oooo0P00000C0?ooo`030000003oool0 oooo0140oooo00<000000?ooo`3oool0o`3ooomB0?ooo`40fMWI000X0?ooo`030000003oool0oooo 04d0oooo0P00000B0?ooo`8000005P3oool3000002@0oooo0`00000g0?ooo`@00000H03oool40000 02H0oooo00<000000?ooo`3oool00?ooo`@00000:@3oool00`000000oooo0?ooo`0A0?ooo`030000 003oool0oooo0?l0ooooG03oool10=WIf@00:03oool00`000000oooo0?ooo`1Q0?ooo`800000503o ool3000001l0oooo0`00000Z0?ooo`@00000A`3oool500000580oooo00<000000?ooo`3oool04P3o ool3000002D0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`3o0?oooed0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0H`3oool2000001D0oooo0`00000O0?ooo`@00000:P3oool5 000004L0oooo1@00001=0?ooo`030000003oool0oooo01D0oooo1000000P0?ooo`030000003oool0 oooo0140oooo00<000000?ooo`3oool0o`3ooomN0?ooo`40fMWI000X0?ooo`030000003oool0oooo 06D0oooo0P00000F0?ooo`@000007`3oool3000002`0oooo1@0000170?ooo`H00000A`3oool00`00 0000oooo0?ooo`0I0?ooo`8000007@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo 0?l0ooooG`3oool10=WIf@00:03oool00`000000oooo0?ooo`1W0?ooo`<000005`3oool3000001l0 oooo0`00000^0?ooo`D00000B03oool700000400oooo00<000000?ooo`3oool06`3oool2000001X0 oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`3o0?ooof00oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0JP3oool3000001L0oooo0`00000O0?ooo`@00000;`3oool6000004T0oooo 1`00000i0?ooo`030000003oool0oooo01d0oooo0P00000G0?ooo`030000003oool0oooo0140oooo 00<000000?ooo`3oool0o`3ooomQ0?ooo`40fMWI000X0?ooo`030000003oool0oooo06d0oooo0`00 000G0?ooo`@000007`3oool400000340oooo1P00001:0?ooo`P00000<@3oool00`000000oooo0?oo o`0O0?ooo`800000503oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooHP3o ool10=WIf@00:03oool00`000000oooo0?ooo`1`0?ooo`<00000603oool4000001l0oooo1000000c 0?ooo`P00000BP3oool8000002T0oooo00<000000?ooo`3oool08@3oool200000140oooo00<00000 0?ooo`3oool04@3oool00`000000oooo0?ooo`3o0?ooof<0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0L`3oool3000001T0oooo1000000O0?ooo`@00000=`3oool6000004`0oooo1`00000R0?oo o`030000003oool0oooo02<0oooo0P00000>0?ooo`030000003oool0oooo0140oooo00<000000?oo o`3oool0o`3ooomT0?ooo`40fMWI000X0?ooo`030000003oool0oooo07H0oooo0`00000J0?ooo`<0 0000803oool5000003P0oooo1000001?0?ooo`L000006`3oool00`000000oooo0?ooo`0U0?ooo`80 00002`3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooI@3oool10=WIf@00 :03oool00`000000oooo0?ooo`1i0?ooo`<000006P3oool400000240oooo1@00000g0?ooo`D00000 D@3oool8000001<0oooo00<000000?ooo`3oool09`3oool2000000P0oooo00<000000?ooo`3oool0 4@3oool00`000000oooo0?ooo`3o0?ooofH0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0O03o ool3000001/0oooo1000000R0?ooo`D00000=`3oool6000005<0oooo300000070?ooo`80000000=0 00000?ooo`3oool09`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0140oooo00<0 00000?ooo`3oool0o`3ooomW0?ooo`40fMWI000X0?ooo`030000003oool0oooo07l0oooo1000000K 0?ooo`@000008`3oool5000003P0oooo2000001G0?ooo`/00000:@3oool00`000000oooo0?ooo`02 0?ooo`030000003oool0oooo0140oooo00<000000?ooo`3oool0o`3ooomX0?ooo`40fMWI000X0?oo o`030000003oool0oooo08<0oooo0`00000L0?ooo`@00000903oool5000003/0oooo2000001F0?oo o`040000003oool0oooo0?ooo`H00000903oool010000000oooo0?ooo`00000C0?ooo`030000003o ool0oooo0?l0ooooJ@3oool10=WIf@00:03oool00`000000oooo0?ooo`260?ooo`<000007@3oool4 000002D0oooo1P00000m0?ooo`P00000CP3oool00`000000oooo0?ooo`070?ooo`H000007`3oool0 0d00000000000?ooo`0B0?ooo`030000003oool0oooo0?l0ooooJP3oool10=WIf@00:03oool00`00 0000oooo0?ooo`290?ooo`@000007@3oool4000002L0oooo2000000m0?ooo`L00000A`3oool00`00 0000oooo0?ooo`0=0?ooo`D000006P3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo 0?l0ooooJ`3oool10=WIf@00:03oool00`000000oooo0?ooo`2=0?ooo`@000007@3oool4000002/0 oooo1`00000m0?ooo`P00000?`3oool00`000000oooo0?ooo`0B0?ooo`<000005P3oool00`000000 oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooK03oool10=WIf@00:03oool00`000000oooo 0?ooo`2A0?ooo`@000007@3oool5000002d0oooo2000000m0?ooo`L00000>03oool00`000000oooo 0?ooo`0E0?ooo`<000004P3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0oooo K@3oool10=WIf@00:03oool00`000000oooo0?ooo`2E0?ooo`@000007P3oool8000002d0oooo1`00 000m0?ooo`P00000<03oool00`000000oooo0?ooo`0H0?ooo`8000003`3oool00`000000oooo0?oo o`0A0?ooo`030000003oool0oooo0?l0ooooKP3oool10=WIf@00:03oool00`000000oooo0?ooo`2I 0?ooo`D000008@3oool6000002h0oooo2000000m0?ooo`/000009@3oool00`000000oooo0?ooo`0J 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`3o 0?ooofl0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0WP3oool500000280oooo1@00000a0?oo o`L00000@@3oool;000000<0oooo0T0000060?ooo`=00000303oool00`000000oooo0?ooo`0K0?oo o`8000002P3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooL03oool10=WI f@00:03oool00`000000oooo0?ooo`2S0?ooo`D000008P3oool5000003<0oooo200000110?ooo`03 @000003oool0oooo00P00000103oool00d000000oooo0?ooo`0;0?ooo`030000003oool0oooo01d0 oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0@0?ooo`800000o`3ooomc0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0:P0oooo1@00000R0?ooo`H00000=@3oool7000003X0oooo 00=000000?ooo`3oool0203oool;000000L0oooo100000000d000000oooo0?ooo`0J0?ooo`800000 1@3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0?l0ooooL`3oool10=WIf@00:03o ool00`000000oooo0?ooo`2]0?ooo`D000008`3oool8000003@0oooo2000000b0?ooo`03@000003o ool0oooo00T0oooo00A000000?ooo`3ooom000001P3oool>000001`0oooo00D000000?ooo`3oool0 oooo0000000B0?ooo`030000003oool0oooo0?l0ooooM03oool10=WIf@00:03oool00`000000oooo 0?ooo`2b0?ooo`H000009@3oool7000003D0oooo2000000Z0?ooo`03@000003oool0oooo00X0oooo 00=000000?oood0000003@3oool00`000000oooo0?ooo`040?ooo`H000005`3oool00`0000100000 0000000B0?ooo`030000003oool0oooo0?l0ooooM@3oool10=WIf@00:03oool00`000000oooo0?oo o`2h0?ooo`P00000903oool8000003D0oooo2000000R0?ooo`03@000003oool0oooo00/0oooo0T00 000=0?ooo`030000003oool0oooo00X0oooo1@00000C0?ooo`030000003oool0oooo0100oooo00<0 00000?ooo`3oool0o`3ooomf0?ooo`40fMWI000X0?ooo`030000003oool0oooo0<00oooo1`00000U 0?ooo`L00000=P3oool:000001L0oooo0T00000>0?ooo`03@000003oool0oooo00/0oooo00<00000 0?ooo`3oool03`3oool3000000l0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3o 0?ooogL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0a`3oool8000002@0oooo2000000h0?oo o`l000009P3oool00`000000oooo0?ooo`0B0?ooo`800000303oool00`000000oooo0?ooo`0@0?oo o`030000003oool0oooo0?l0ooooN03oool10=WIf@00:03oool00`000000oooo0?ooo`3?0?ooo`L0 00009@3oool;000003`0oooo4000000F0?ooo`030000003oool0oooo01@0oooo0`0000080?ooo`03 0000003oool0oooo0100oooo00<000000?ooo`3oool0o`3ooomi0?ooo`40fMWI000X0?ooo`030000 003oool0oooo0=H0oooo2000000X0?ooo`/00000@@3oool;000000/0oooo00<000000?ooo`3oool0 5`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0 o`3ooomj0?ooo`40fMWI000X0?ooo`030000003oool0oooo0=h0oooo1`00000/0?ooo`P00000A03o ool7000000@0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`020?ooo`030000003o ool0oooo0100oooo00<000000?ooo`3oool0@P3oool00d000000oooo0?ooo`0=0?ooo`03@000003o ool0oooo01<0oooo00=000000?ooo`3oool04P3oool00d000000oooo0?ooo`3j0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0>D0oooo2000000/0?ooo``00000?`3oool=000001<0oooo00@00000 0?ooo`3oool000004P3oool00`000000oooo0?ooo`0g0?ooo`03@000003oool0oooo00P0oooo00=0 00000?ooo`3oool03P3oool00d000000oooo0?ooo`0C0?ooo`03@000003oool0oooo01<0oooo00=0 00000?ooo`3oool0n@3oool10=WIf@00:03oool00`000000oooo0?ooo`3]0?ooo`/00000;@3oool> 000003D0oooo00<000000?ooo`3oool01P3oool6000000h0oooo00=000000000003oool04@3oool0 0`000000oooo0?ooo`0a0?ooo`=0000000@0oooo@000003oool0oooo0T0000020?ooo`A000000P3o ool00d000000oooo0?ooo`090?ooo`9000001@3oool01D000000oooo0?ooo`3ooom0000000@0oooo 00=000000?ooo`3oool00P3oool00d000000oooo0?ooo`050?ooo`03@000003oool0oooo00H0oooo 0d0000030?ooo`9000001@3oool00d000000oooo0?ooo`3h0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?P0oooo3000000_0?ooo`l000009P3oool00`000000oooo0?ooo`0<0?ooo`<000002`3o ool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo03<0oooo00A000000?ooo`3ooom00000 0P3oool00d000000oooo@00000070?ooo`03@000003oool0oooo00<0oooo140000001@3ooom00000 0?ooo`3ooom0000001h0oooo140000020?ooo`07@000003oool0oooo0?oood000000oooo@0000005 0?ooo`03@000003oool0oooo0?P0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3oool50?oo o`P00000=P3oool@000001H0oooo0P0000000d000000oooo0?ooo`0=0?ooo`<000001`3oool00`00 0000oooo0?ooo`0@0?ooo`030000003oool0oooo03@0oooo00=000000?oood0000001`3oool4@000 0080oooo00=000000?ooo`3oool02`3oool00d000000oooo0?ooo`0R0?ooo`05@000003oool0oooo 0?oood0000000P3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo0?P0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0o`3oool=0?ooo`X00000?03oool>000000P0oooo00<000000?oo o`3oool04P3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo0100oooo00<000000?oo o`3oool0=P3oool2@00000d0oooo00=000000?ooo`3oool02P3oool00d000000oooo0?ooo`0T0?oo o`04@000003oool0oooo@0000080oooo00=000000?ooo`3oool00P3oool00d000000oooo0?ooo`3h 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo5`3oool?000003/0oooo2`00000C0?oo o`8000000P3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo03L0oooo00=000000?oo od0000003@3oool00d000000oooo0?ooo`080?ooo`03@000003ooom0000002@0oooo0T0000030?oo o`03@000003ooom0000000<0oooo00=000000?ooo`3oool0n@3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooobH0oooo4000000c0?ooo`030000003oool0oooo00T00000303oool00d000000 00000?ooo`0A0?ooo`030000003oool0oooo03L0oooo0T0000000`3ooom00000@000000=0?ooo`03 @000003oool0oooo00P0oooo00=000000?ooo`3oool0903oool014000000oooo0?ooo`3oool2@000 00<0oooo00=000000?ooo`3oool0nP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooocH0 oooo3P00000U0?ooo`030000003oool0oooo00P0oooo1@0000080?ooo`030000003oool0oooo0100 oooo00<000000?ooo`3oool0o`3ooon30?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo A03oool?000001H0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`040?ooo`030000 003oool0oooo0100oooo00<000000?ooo`3oool0o`3ooon40?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0ooooD`3oool?000000L0oooo00<000000?ooo`3oool03P3oool2000000<0oooo00<0 00000?ooo`3oool0403oool00`000000oooo0?ooo`3o0?ooohD0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0o`3ooomR0?oooa4000002@3oool00`00001000000000000B0?ooo`030000003oool0 oooo0?l0ooooQP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?oo o`3oool01`3oool4000000H0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3o0?oo ohL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo00/0 oooo0P0000030?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0o`3ooon80?ooo`40 fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0=0?ooo`030000 0400000000000180oooo00<000000?ooo`3oool0o`3ooon90?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0ooooJ@3oool200000003@000003oool0oooo00`0oooo00<000000?ooo`3oool0403o ool00`000000oooo0?ooo`3o0?ooohX0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY 0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3o 0?oooh/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0NP3oool00d000000oooo0?ooo`3[0?oo o`030000003oool0oooo00`0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3o0?oo oh`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0L`3oool3@00000040?oood000000oooo0?oo o`9000000P3oool4@0000>H0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0@0?oo o`030000003oool0oooo0?l0ooooS@3oool10=WIf@00:03oool00`000000oooo0?ooo`1d0?ooo`04 @000003oool0oooo@0000080oooo00=000000?oood0000001`3oool4@00000050?oood0000100000 0?oood000000f`3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo0100oooo00<00000 0?ooo`3oool0o`3ooon>0?ooo`40fMWI000X0?ooo`030000003oool0oooo07@0oooo00=000000?oo od0000001`3oool4@00000H0oooo00I000000?ooo`3ooom000000?oood00003J0?ooo`030000003o ool0oooo00T0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`050?ooo`030000003o ool0oooo0?l0ooooS`3oool10=WIf@00:03oool00`000000oooo0?ooo`1e0?ooo`9000004P3oool2 @00000030?oood000000oooo0=X0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0: 0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0o`3ooon@0?ooo`40fMWI000X0?oo o`030000003oool0oooo07D0oooo00=000000?oood000000l03oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo00`0oooo00D000000?ooo`3oool0oooo0000003o0?oooi<0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0M03oool2@00000030?oood00001000000>l0oooo00<000000?oo o`3oool01P3oool00`000000oooo0?ooo`0>0?ooo`030000003oool000000?l0ooooU03oool10=WI f@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool01@3oool00`000000 oooo0?ooo`0@0?ooo`030000003oool0oooo0?l0ooooT`3oool10=WIf@00:03oool00`000000oooo 0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`3o0?ooojL0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo00<0oooo00<0 00000?ooo`3oool0o`3ooonX0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool2 00000004@000003oool0oooo00000?l0ooooZ`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o 0?ooofT0oooo00D000000?ooo`3oool0oooo0000003o0?oooj`0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0o`3ooomY0?ooo`040000003oool0oooo00000?l0oooo[@3oool10=WIf@00:03oool0 0`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`000000o`3ooon^0?ooo`40fMWI000X0?oo o`030000003oool0oooo0?l0ooooJ@3oool200000?l0oooo[`3oool10=WIf@00:03ooooo000006d0 0000o`3ooon`0?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3o oom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?oo o`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI 003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?oo ool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0oooo o`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom6 0?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40 fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o 0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0 ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3ooom60?ooo`40fMWI003o0?ooool0ooooo`3o oom60?ooo`40fMWI003o0?oooi80oooo0T0000000`3ooom00000@000003o0?ooojh0oooo0@3IfMT0 0?l0ooooT@3oool00d000000oooo0?ooo`02@0000?l0oooo[`3oool10=WIf@00o`3ooonA0?ooo`05 @000003oool0oooo0?oood000000o`3ooon_0?ooo`40fMWI003o0?oooi40oooo00E000000?ooo`3o ool0oooo@000003o0?ooojl0oooo0@3IfMT00?l0ooooT03oool2@0000080oooo0T00003o0?ooojl0 oooo0@3IfMT00?l0ooooo`3ooooo0?ooodH0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodH0oooo0@3I fMT00?l0ooooo`3ooooo0?ooodH0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodH0oooo0@3IfMT00001 \ \>"], ImageRangeCache->{{{0, 835}, {417, 0}} -> {-1.74801, -0.0991797, \ 0.00433675, 0.00433675}}], Cell["\<\ (0, 1) : \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .5 Mabswid 0 0 m .02028 .00091 L .0424 .0019 L .06318 .00283 L .08316 .00372 L .10443 .00466 L .1249 .00557 L .14666 .00653 L .16762 .00745 L .18779 .00834 L .20924 .00928 L .2299 .01018 L .24976 .01104 L .27092 .01196 L .29127 .01284 L .31291 .01377 L .33376 .01467 L .35381 .01553 L .37515 .01644 L .39569 .01732 L .41752 .01825 L .43856 .01914 L .4588 .01999 L .48033 .0209 L .5 .02173 L s .5 .02173 m .51772 .02249 L .53704 .02336 L .55519 .02424 L .57264 .02512 L .59122 .02612 L .6091 .02713 L .62811 .02827 L .64642 .02944 L .66403 .03062 L .68278 .03195 L .70082 .03331 L .71817 .03468 L .73665 .03623 L .75443 .0378 L .77333 .03957 L .79154 .04138 L .80906 .04324 L .8277 .04535 L .84564 .04755 L .86471 .0501 L .88309 .05282 L .90077 .05575 L .91957 .05935 L .93676 .06324 L s 0 0 m .02028 .00493 L .0424 .01022 L .06318 .01511 L .08316 .01974 L .10443 .02459 L .1249 .02918 L .14666 .03399 L .16762 .03855 L .18779 .04287 L .20924 .04739 L .2299 .05168 L .24976 .05575 L .27092 .06002 L .29127 .06407 L .31291 .06831 L .33376 .07234 L .35381 .07616 L .37515 .08016 L .39569 .08397 L .41752 .08796 L .43856 .09175 L .4588 .09535 L .48033 .09913 L .5 .10254 L s .5 .10254 m .51322 .10484 L .52764 .10739 L .54118 .10984 L .5542 .11225 L .56806 .11487 L .5814 .11744 L .59558 .12024 L .60924 .12299 L .62239 .1257 L .63637 .12864 L .64983 .13153 L .66278 .13436 L .67657 .13743 L .68983 .14044 L .70394 .1437 L .71752 .14689 L .73059 .15001 L .7445 .15338 L .75789 .15667 L .77212 .16023 L .78582 .1637 L .79902 .16709 L .81304 .17075 L .82587 .17413 L s 0 0 m .02028 .01427 L .0424 .02912 L .06318 .04242 L .08316 .05466 L .10443 .06713 L .1249 .07865 L .14666 .09039 L .16762 .10126 L .18779 .11133 L .20924 .12166 L .2299 .13126 L .24976 .14018 L .27092 .14938 L .29127 .15796 L .31291 .16679 L .33376 .17504 L .35381 .18275 L .37515 .19072 L .39569 .19817 L .41752 .20588 L .43856 .2131 L .4588 .21987 L .48033 .22687 L .5 .23312 L s .5 .23312 m .50841 .23574 L .51758 .23855 L .5262 .24117 L .53448 .24366 L .5433 .24628 L .55179 .24878 L .56081 .25143 L .5695 .25396 L .57787 .25638 L .58676 .25894 L .59533 .26139 L .60357 .26374 L .61234 .26624 L .62078 .26862 L .62975 .27116 L .6384 .27359 L .64671 .27592 L .65556 .27839 L .66408 .28076 L .67313 .28327 L .68185 .28568 L .69024 .28799 L .69917 .29044 L .70733 .29267 L s 0 0 m .02028 .03811 L .0424 .0747 L .06318 .10524 L .08316 .13176 L .10443 .15746 L .1249 .18013 L .14666 .20233 L .16762 .2221 L .18779 .23981 L .20924 .25737 L .2299 .27313 L .24976 .28731 L .27092 .30142 L .29127 .31409 L .31291 .32663 L .33376 .33785 L .35381 .34788 L .37515 .35778 L .39569 .36659 L .41752 .37523 L .43856 .38288 L .4588 .38966 L .48033 .3963 L .5 .40188 L s .5 .40188 m .50342 .40278 L .50714 .40371 L .51064 .40453 L .514 .40527 L .51758 .40603 L .52103 .40672 L .52469 .40742 L .52822 .40806 L .53162 .40866 L .53523 .40927 L .53871 .40983 L .54205 .41035 L .54561 .41089 L .54904 .41139 L .55269 .41191 L .5562 .41239 L .55957 .41284 L .56316 .41331 L .56662 .41375 L .5703 .4142 L .57384 .41463 L .57725 .41503 L .58087 .41544 L .58418 .41582 L s gsave .64324 .42972 -76.4063 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 89.813 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .78648 .30239 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .89789 .19099 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.7) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .85332 .07321 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.3) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .5 m 1 0 L s 0 0 m 0 .5 L .5 .5 L 1 0 L s gsave .18169 .48383 -77 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (\\245) show 91.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .69099 .21645 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{837, 418.5}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`40fMWI000e0?ooo`03@000003oool0oooo 00T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo06L0oooo00E00000 0?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000d03oool01D000000oooo 0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo 06T0oooo00=000000?ooo`3oool02@3oool01D000000oooo0?ooo`3ooom0000004d0oooo0@3IfMT0 02`0oooo1D0000040?ooo`03@000003oool0oooo00d0oooo00=000000?ooo`3oool0GP3oool5@000 00D0oooo00=000000?ooo`3oool0H03oool5@0000080oooo00E000000?ooo`3oool0oooo@000000= 0?ooo`03@000003oool0oooo00?ooo`40fMWI000X0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0 2@3oool00`000000oooo0?ooo`0L0?ooo`D00000d`3ooolN000004@0oooo00<000000?ooo`3oool0 o`3ooomM0?ooo`030000003oool0oooo04l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0103o ool00`000000oooo0?ooo`090?ooo`8000008@3oool500000>`0oooo4000000d0?ooo`030000003o ool0oooo0?l0ooooG03oool00`000000oooo0?ooo`1@0?ooo`40fMWI000X0?ooo`030000003oool0 oooo00D0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0S0?ooo`@00000n03ooolN 000001H0oooo00<000000?ooo`3oool0o`3ooomK0?ooo`030000003oool0oooo0540oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo 02H0oooo1000003o0?oooa<0oooo3`0000070?ooo`030000003oool0oooo0?l0ooooFP3oool00`00 0000oooo0?ooo`1B0?ooo`40fMWI000X0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3o ool02`3oool2000002X0oooo1000003o0?oooah0oooo6`00003o0?ooodP0oooo00<000000?ooo`3o ool0D`3oool10=WIf@00:03oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00d0oooo 00<000000?ooo`3oool0:`3oool400000?l0oooo8@3oool00`000000oooo0?ooo`0A0?oooa/00000 o`3oool/0?ooo`030000003oool0oooo05@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool01`3o ool00`000000oooo0?ooo`0=0?ooo`800000;`3oool400000?l0oooo7@3oool00`000000oooo0?oo o`0/0?ooo`d00000o`3ooolN0?ooo`030000003oool0oooo05D0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool01`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo0300oooo1@00003o 0?oooaP0oooo00<000000?ooo`3oool0>@3oool=00000?l0oooo403oool00`000000oooo0?ooo`1F 0?ooo`40fMWI000X0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool03`3oool20000 03D0oooo1@00003o0?oooa<0oooo00<000000?ooo`3oool0AP3ooolK00000?<0oooo00<000000?oo o`3oool0E`3oool10=WIf@00:03oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0140 oooo00<000000?ooo`3oool0=`3oool400000?l0oooo3`3oool00`000000oooo0?ooo`1Q0?ooo`d0 0000i@3oool00`000000oooo0?ooo`1H0?ooo`40fMWI000X0?ooo`030000003oool0oooo00T0oooo 00<000000?ooo`3oool04@3oool2000003/0oooo1000003o0?ooo`/0oooo00<000000?ooo`3oool0 KP3oool=00000=L0oooo00<000000?ooo`3oool0F@3oool10=WIf@00:03oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0?03oool400000?l0oooo1`3o ool300000003@000003oool0oooo07P0oooo3P0000380?ooo`030000003oool0oooo05X0oooo0@3I fMT002P0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0C0?ooo`800000@03oool4 00000?l0oooo0`3oool00`000000oooo0?ooo`290?ooo``00000^`3oool00`000000oooo0?ooo`1K 0?ooo`40fMWI000X0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool05@3oool00`00 0000oooo0?ooo`110?ooo`D00000o@3oool00`000000oooo0?ooo`2E0?ooo`d00000[@3oool00`00 0000oooo0?ooo`1L0?ooo`40fMWI000X0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3o ool05@3oool2000004H0oooo1@00003h0?ooo`030000003oool0oooo0:80oooo3P00002N0?ooo`03 0000003oool0oooo05d0oooo0@3IfMT002P0oooo00<000000?ooo`3oool02`3oool00`000000oooo 0?ooo`0G0?ooo`030000003oool0oooo04P0oooo1@00003c0?ooo`030000003oool0oooo0;00oooo 2P00002C0?ooo`030000003oool0oooo05h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0303o ool00`000000oooo0?ooo`0G0?ooo`800000C@3oool500000>h0oooo00<000000?ooo`3oool0^P3o ool6000008`0oooo00<000000?ooo`3oool0G`3oool10=WIf@00:03oool00`000000oooo0?ooo`0= 0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0C`3oool500000>T0oooo00<00000 0?ooo`3oool0`03oool:00000840oooo00<000000?ooo`3oool0H03oool10=WIf@00:03oool00`00 0000oooo0?ooo`0=0?ooo`030000003oool0oooo01T0oooo0P00001D0?ooo`D00000i03oool00`00 0000oooo0?ooo`3:0?ooo`d00000L`3oool00`000000oooo0?ooo`1Q0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`1F0?ooo`D0 0000g`3oool00`000000oooo0?ooo`3G0?ooo`X00000J03oool00`000000oooo0?ooo`1R0?ooo`40 fMWI000X0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool06`3oool2000005/0oooo 1@00003J0?ooo`030000003oool0oooo0>40oooo1`00001P0?ooo`030000003oool0oooo06<0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0L0?ooo`800000GP3o ool500000=D0oooo00<000000?ooo`3oool0j03oool:000005D0oooo00<000000?ooo`3oool0I03o ool10=WIf@00:03oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo01d0oooo00<00000 0?ooo`3oool0H03oool500000=00oooo00<000000?ooo`3oool0lP3oool:000004X0oooo00<00000 0?ooo`3oool0I@3oool10=WIf@00:03oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo 01h0oooo0P00001U0?ooo`D00000b`3oool300000003@000003oool0oooo0?T0oooo1`0000120?oo o`030000003oool0oooo06H0oooo0@3IfMT002P0oooo00<000000?ooo`3oool04@3oool00`000000 oooo0?ooo`0O0?ooo`800000J03oool500000P3oool00`000000oooo0?ooo`1W0?ooo`40fMWI000X0?ooo`030000003oool0oooo0180oooo 00<000000?ooo`3oool0803oool00`000000oooo0?ooo`1Z0?ooo`D00000`@3oool00`000000oooo 0?ooo`3o0?ooo`/0oooo1P00000c0?ooo`030000003oool0oooo06P0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool04P3oool00`000000oooo0?ooo`0Q0?ooo`800000K`3oool500000;`0oooo00<0 00000?ooo`3oool0o`3ooolA0?ooo`L00000:`3oool00`000000oooo0?ooo`1Y0?ooo`40fMWI000X 0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool08P3oool200000780oooo1@00002g 0?ooo`030000003oool0oooo0?l0oooo603oool6000002@0oooo00<000000?ooo`3oool0JP3oool1 0=WIf@00:03oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo02@0oooo00<000000?oo o`3oool0M03oool500000;80oooo00<000000?ooo`3oool0o`3ooolN0?ooo`H000007@3oool00`00 0000oooo0?ooo`1[0?ooo`40fMWI000X0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3o ool0903oool2000007T0oooo1@00002]0?ooo`030000003oool0oooo0?l0oooo903oool4000001P0 oooo00<000000?ooo`3oool0K03oool10=WIf@00:03oool00`000000oooo0?ooo`0E0?ooo`030000 003oool0oooo02D0oooo0P00001l0?ooo`D00000Z03oool00`000000oooo0?ooo`3o0?ooobP0oooo 1000000C0?ooo`030000003oool0oooo06d0oooo0@3IfMT002P0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0W0?ooo`030000003oool0oooo07h0oooo1@00002S0?ooo`030000003o ool0oooo0?l0oooo;03oool5000000d0oooo00<000000?ooo`3oool0KP3oool10=WIf@00:03oool0 0`000000oooo0?ooo`0F0?ooo`030000003oool0oooo02L0oooo0P0000230?ooo`D00000P@3oool3 @00000@0oooo0T0000040?ooo`E000002`3oool00`000000oooo0?ooo`3o0?oooc40oooo10000008 0?ooo`030000003oool0oooo06l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool05P3oool00`00 0000oooo0?ooo`0Y0?ooo`800000QP3oool5000007/0oooo00E000000?ooo`3oool0oooo@0000009 0?ooo`03@000003oool0oooo00d0oooo00<000000?ooo`3oool0o`3ooole0?ooo`@000000`3oool0 0`000000oooo0?ooo`1`0?ooo`40fMWI000X0?ooo`030000003oool0oooo01L0oooo00<000000?oo o`3oool0:P3oool00`000000oooo0?ooo`280?ooo`D00000MP3oool01D000000oooo0?ooo`3ooom0 000000X0oooo00=000000?ooo`3oool0303oool500000003@000003oool0oooo0?l0oooo=03oool3 000007<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`0Z0?oo o`800000S@3oool500000740oooo00E000000?ooo`3oool0oooo@000000;0?ooo`03@000003oool0 oooo00/0oooo00<000000?ooo`3oool0o`3ooolj0?ooo`030000003oool0oooo0780oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`0/0?ooo`800000T03oool50000 06`0oooo00E000000?ooo`3oool0oooo@000000<0?ooo`03@000003oool0oooo00X0oooo00<00000 0?ooo`3oool0o`3oooli0?ooo`030000003oool0oooo07<0oooo0@3IfMT002P0oooo00<000000?oo o`3oool06@3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo0980oooo1@00001W0?oo o`05@000003oool0oooo0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000/0oooo00<0 00000?ooo`3oool0o`3ooolh0?ooo`030000003oool0oooo07@0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool06P3oool00`000000oooo0?ooo`0]0?ooo`800000U`3oool5000006<0oooo0d00000; 0?ooo`=00000303oool00`000000oooo0?ooo`3a0?ooo`03@000003oool0oooo0480oooo00<00000 0?ooo`3oool0M@3oool10=WIf@00:03oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo 02l0oooo0P00002J0?ooo`D00000N`3oool00`000000oooo0?ooo`3Z0?ooo`=0000000@0oooo@000 003oool0oooo0T0000020?ooo`A000002@3oool2@00000<0oooo00=000000?ooo`3oool00P3oool2 @00002L0oooo00<000000?ooo`3oool0MP3oool10=WIf@00:03oool00`000000oooo0?ooo`0K0?oo o`030000003oool0oooo0300oooo0P00002M0?ooo`D00000MP3oool00`000000oooo0?ooo`3[0?oo o`04@000003oool0oooo@0000080oooo00=000000?oood0000001`3oool4@0000080oooo00=00000 0?oood0000001`3oool014000000oooo0?oood00000U0?ooo`030000003oool0oooo07L0oooo0@3I fMT002P0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`0b0?ooo`800000X03oool5 00000740oooo00<000000?ooo`3oool0j`3oool00d000000oooo@00000070?ooo`A00000203oool0 14000000oooo0?oood0000090?ooo`03@000003oool0oooo0280oooo00<000000?ooo`3oool0N03o ool10=WIf@00:03oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo03<0oooo0P00002S 0?ooo`D00000K03oool00`000000oooo0?ooo`3/0?ooo`9000004`3oool014000000oooo0?oood00 00080?ooo`03@000003oool0oooo0280oooo00<000000?ooo`3oool0N@3oool10=WIf@00:03oool0 0`000000oooo0?ooo`0M0?ooo`030000003oool0oooo03@0oooo0P00002V0?ooo`D00000I`3oool0 0`000000oooo0?ooo`3/0?ooo`03@000003ooom0000001<0oooo00=000000?oood0000001`3oool0 0d000000oooo@000000R0?ooo`030000003oool0oooo07X0oooo0@3IfMT002P0oooo00<000000?oo o`3oool07@3oool00`000000oooo0?ooo`0f0?ooo`800000Z@3oool500000680oooo00<000000?oo o`3oool0j`3oool2@00000030?oood00001000000180oooo0T0000090?ooo`03@000003oool0oooo 0200oooo00<000000?ooo`3oool0N`3oool10=WIf@00:03oool00`000000oooo0?ooo`0N0?ooo`03 0000003oool0oooo03L0oooo00<000000?ooo`3oool0Z`3oool6000005`0oooo00<000000?ooo`3o ool0o`3oool`0?ooo`030000003oool0oooo07`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 7`3oool00`000000oooo0?ooo`0g0?ooo`800000/@3oool5000005L0oooo0`0000000d000000oooo 0?ooo`3o0?ooob`0oooo00<000000?ooo`3oool0O@3oool10=WIf@00:03oool00`000000oooo0?oo o`0O0?ooo`030000003oool0oooo03T0oooo0P00002d0?ooo`@00000D`3oool00`000000oooo0?oo o`3o0?ooobh0oooo00<000000?ooo`3oool0OP3oool10=WIf@00:03oool00`000000oooo0?ooo`0P 0?ooo`030000003oool0oooo03X0oooo0P00002f0?ooo`D00000CP3oool00`000000oooo0?ooo`3o 0?ooobd0oooo00<000000?ooo`3oool0O`3oool10=WIf@00:03oool00`000000oooo0?ooo`0Q0?oo o`030000003oool0oooo03/0oooo0P00002i0?ooo`D00000B@3oool00`000000oooo0?ooo`3o0?oo ob`0oooo00<000000?ooo`3oool0P03oool10=WIf@00:03oool00`000000oooo0?ooo`0Q0?ooo`03 0000003oool0oooo03d0oooo0P00002l0?ooo`D00000A03oool00`000000oooo0?ooo`3o0?ooob/0 oooo00<000000?ooo`3oool0P@3oool10=WIf@00:03oool00`000000oooo0?ooo`0R0?ooo`030000 003oool0oooo03h0oooo0P00002o0?ooo`H00000?P3oool00`000000oooo0?ooo`3o0?ooobX0oooo 00<000000?ooo`3oool0PP3oool10=WIf@00:03oool00`000000oooo0?ooo`0S0?ooo`030000003o ool0oooo03l0oooo0P0000330?ooo`H00000>03oool00`000000oooo0?ooo`3o0?ooobT0oooo00<0 00000?ooo`3oool0P`3oool10=WIf@00:03oool00`000000oooo0?ooo`0T0?ooo`030000003oool0 oooo0400oooo0P0000370?ooo`P00000<03oool00`000000oooo0?ooo`3o0?ooobP0oooo00<00000 0?ooo`3oool0Q03oool10=WIf@00:03oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo 0480oooo0P00003=0?ooo`H00000:P3oool00`000000oooo0?ooo`3o0?ooobL0oooo00<000000?oo o`3oool0Q@3oool10=WIf@00:03oool00`000000oooo0?ooo`0U0?ooo`030000003oool0oooo04<0 oooo0P00003A0?ooo`D000009@3oool00`000000oooo0?ooo`3o0?ooobH0oooo00<000000?ooo`3o ool0QP3oool10=WIf@00:03oool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo04@0oooo 0P00003D0?ooo`D00000803oool00`000000oooo0?ooo`3o0?ooobD0oooo00<000000?ooo`3oool0 Q`3oool10=WIf@00:03oool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo04H0oooo0P00 003G0?ooo`D000006`3oool300000003@000003oool0oooo0?l0oooo8@3oool00`000000oooo0?oo o`280?ooo`40fMWI000X0?ooo`030000003oool0oooo02L0oooo00<000000?ooo`3oool0A`3oool2 00000=X0oooo1@00000F0?ooo`030000003oool0oooo0?l0oooo8`3oool00`000000oooo0?ooo`29 0?ooo`40fMWI000X0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0B03oool20000 0=d0oooo1P00000@0?ooo`030000003oool0oooo0?l0oooo8P3oool00`000000oooo0?ooo`2:0?oo o`40fMWI000X0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool0BP3oool200000>40 oooo1P00000:0?ooo`030000003oool0oooo0?l0oooo8@3oool00`000000oooo0?ooo`2;0?ooo`40 fMWI000X0?ooo`030000003oool0oooo02T0oooo00<000000?ooo`3oool0B`3oool00`000000oooo 0?ooo`3T0?ooo`L000000`3oool00`000000oooo0?ooo`3o0?ooob00oooo00<000000?ooo`3oool0 S03oool10=WIf@00:03oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo04/0oooo0P00 003[0?ooo`H00000o`3ooolO0?ooo`030000003oool0oooo08d0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0:P3oool00`000000oooo0?ooo`1=0?ooo`800000k03oool00`000000oooo0?ooo`05 00000?l0oooo6@3oool00`000000oooo0?ooo`2>0?ooo`40fMWI000X0?ooo`030000003oool0oooo 02/0oooo00<000000?ooo`3oool0CP3oool200000>X0oooo00<000000?ooo`3oool01@3oool50000 0?l0oooo4`3oool00`000000oooo0?ooo`2?0?ooo`40fMWI000X0?ooo`030000003oool0oooo02`0 oooo00<000000?ooo`3oool0C`3oool200000>P0oooo00<000000?ooo`3oool02P3oool500000?l0 oooo3@3oool00`000000oooo0?ooo`2@0?ooo`40fMWI000X0?ooo`030000003oool0oooo02d0oooo 00<000000?ooo`3oool0D03oool200000>H0oooo00<000000?ooo`3oool03`3oool500000?l0oooo 1`3oool00`000000oooo0?ooo`2A0?ooo`40fMWI000X0?ooo`030000003oool0oooo02d0oooo00<0 00000?ooo`3oool0DP3oool200000>@0oooo00<000000?ooo`3oool0503oool500000?l0oooo0@3o ool00`000000oooo0?ooo`2B0?ooo`40fMWI000X0?ooo`030000003oool0oooo02h0oooo00<00000 0?ooo`3oool0D`3oool200000>80oooo00<000000?ooo`3oool06@3oool700000?P0oooo00<00000 0?ooo`3oool0T`3oool10=WIf@00:03oool00`000000oooo0?ooo`0_0?ooo`030000003oool0oooo 05@0oooo0P00003P0?ooo`<0000000=000000?ooo`3oool07@3oool700000?00oooo00<000000?oo o`3oool0U03oool10=WIf@00:03oool00`000000oooo0?ooo`0`0?ooo`030000003oool0oooo05D0 oooo0P00003N0?ooo`030000003oool0oooo02L0oooo1@00003Z0?ooo`030000003oool0oooo09D0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0<@3oool00`000000oooo0?ooo`1F0?ooo`800000 g03oool00`000000oooo0?ooo`0/0?ooo`D00000i03oool00`000000oooo0?ooo`2F0?ooo`40fMWI 000X0?ooo`030000003oool0oooo0340oooo00<000000?ooo`3oool0F03oool200000=X0oooo00<0 00000?ooo`3oool0<@3oool500000=h0oooo00<000000?ooo`3oool0U`3oool10=WIf@00:03oool0 0`000000oooo0?ooo`0b0?ooo`030000003oool0oooo05T0oooo0P00003H0?ooo`030000003oool0 oooo03H0oooo1@00003H0?ooo`030000003oool0oooo09P0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0<`3oool00`000000oooo0?ooo`1J0?ooo`800000eP3oool00`000000oooo0?ooo`0k0?oo o`D00000dP3oool00`000000oooo0?ooo`2I0?ooo`40fMWI000X0?ooo`030000003oool0oooo03@0 oooo00<000000?ooo`3oool0F`3oool200000=@0oooo00<000000?ooo`3oool0@03oool500000<`0 oooo00<000000?ooo`3oool0VP3oool10=WIf@00:03oool00`000000oooo0?ooo`0d0?ooo`030000 003oool0oooo05d0oooo0`00003A0?ooo`030000003oool0oooo04D0oooo1@0000360?ooo`030000 003oool0oooo09/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0=@3oool00`000000oooo0?oo o`1O0?ooo`800000c`3oool00`000000oooo0?ooo`1:0?ooo`D00000`03oool00`000000oooo0?oo o`2L0?ooo`40fMWI000X0?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0H03oool2 00000;00oooo0d0000040?ooo`9000001P3oool3@00000/0oooo00<000000?ooo`3oool0C`3oool5 00000;X0oooo00<000000?ooo`3oool0W@3oool10=WIf@00:03oool00`000000oooo0?ooo`0g0?oo o`030000003oool0oooo0640oooo0P00002]0?ooo`05@000003oool0oooo0?oood000000303oool0 0d000000oooo0?ooo`0:0?ooo`030000003oool0oooo05@0oooo1@00002d0?ooo`030000003oool0 oooo09h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0>03oool00`000000oooo0?ooo`1R0?oo o`800000Z`3oool01D000000oooo0?ooo`3ooom0000000T0oooo1D00000;0?ooo`D0000000=00000 0?ooo`3oool0E03oool500000:h0oooo00<000000?ooo`3oool0W`3oool10=WIf@00:03oool00`00 0000oooo0?ooo`0h0?ooo`030000003oool0oooo06@0oooo0P00002Y0?ooo`05@000003oool0oooo 0?oood0000002@3oool014000000oooo0?oood00000<0?ooo`030000003oool0oooo05h0oooo1@00 002X0?ooo`030000003oool0oooo0:00oooo0@3IfMT002P0oooo00<000000?ooo`3oool0>@3oool0 0`000000oooo0?ooo`1U0?ooo`800000Y`3oool01D000000oooo0?ooo`3ooom0000000X0oooo00=0 00000?oood000000303oool00`000000oooo0?ooo`1S0?ooo`D00000XP3oool00`000000oooo0?oo o`2Q0?ooo`40fMWI000X0?ooo`030000003oool0oooo03X0oooo00<000000?ooo`3oool0IP3oool3 00000:@0oooo00E000000?ooo`3oool0oooo@000000;0?ooo`900000303oool00`000000oooo0?oo o`1X0?ooo`D00000W03oool00`000000oooo0?ooo`2R0?ooo`40fMWI000X0?ooo`030000003oool0 oooo03/0oooo00<000000?ooo`3oool0J03oool200000:<0oooo0d00000=0?ooo`03@000003oool0 oooo00X0oooo00<000000?ooo`3oool0K@3oool4000009L0oooo00<000000?ooo`3oool0X`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`0l0?ooo`030000003oool0oooo06T0oooo0P00002n0?oo o`030000003oool0oooo0740oooo1000002B0?ooo`030000003oool0oooo0:@0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0?03oool00`000000oooo0?ooo`1[0?ooo`800000_03oool00`000000 oooo0?ooo`1e0?ooo`<00000SP3oool00`000000oooo0?ooo`2U0?ooo`40fMWI000X0?ooo`030000 003oool0oooo03d0oooo00<000000?ooo`3oool0K03oool200000;X0oooo00<000000?ooo`3oool0 N03oool4000008T0oooo00<000000?ooo`3oool0YP3oool10=WIf@00:03oool00`000000oooo0?oo o`0n0?ooo`030000003oool0oooo06d0oooo0P00002h0?ooo`030000003oool0oooo07`0oooo1000 00240?ooo`030000003oool0oooo0:L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0?`3oool0 0`000000oooo0?ooo`1^0?ooo`800000]P3oool00`000000oooo0?ooo`200?ooo`D00000OP3oool0 0`000000oooo0?ooo`2X0?ooo`40fMWI000X0?ooo`030000003oool0oooo0400oooo00<000000?oo o`3oool0K`3oool300000;<0oooo00<000000?ooo`3oool0Q@3oool5000007P0oooo00<000000?oo o`3oool0Z@3oool10=WIf@00:03oool00`000000oooo0?ooo`100?ooo`030000003oool0oooo0780 oooo0P00002a0?ooo`030000003oool0oooo08X0oooo1@00001b0?ooo`030000003oool0oooo0:X0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0@@3oool00`000000oooo0?ooo`1c0?ooo`<00000 [P3oool300000003@000003oool0oooo08`0oooo1@00001/0?ooo`030000003oool0oooo0:/0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0@P3oool00`000000oooo0?ooo`1e0?ooo`800000[03o ool00`000000oooo0?ooo`2D0?ooo`D00000IP3oool00`000000oooo0?ooo`2/0?ooo`40fMWI000X 0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool0MP3oool300000:T0oooo00<00000 0?ooo`3oool0V@3oool400000640oooo00<000000?ooo`3oool0[@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`130?ooo`030000003oool0oooo07T0oooo0P00002W0?ooo`030000003oool0oooo 09d0oooo0`00001M0?ooo`030000003oool0oooo0:h0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0A03oool00`000000oooo0?ooo`1j0?ooo`<00000Y03oool00`000000oooo0?ooo`2P0?ooo`<0 0000F@3oool00`000000oooo0?ooo`2_0?ooo`40fMWI000X0?ooo`030000003oool0oooo04D0oooo 00<000000?ooo`3oool0O03oool200000:80oooo00<000000?ooo`3oool0X`3oool4000005@0oooo 00<000000?ooo`3oool0/03oool10=WIf@00:03oool00`000000oooo0?ooo`160?ooo`030000003o ool0oooo07d0oooo0`00002O0?ooo`030000003oool0oooo0:L0oooo1@00001>0?ooo`030000003o ool0oooo0;40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`1o 0?ooo`800000W@3oool00`000000oooo0?ooo`2/0?ooo`@00000B@3oool00`000000oooo0?ooo`2b 0?ooo`40fMWI000X0?ooo`030000003oool0oooo04L0oooo00<000000?ooo`3oool0P@3oool30000 09X0oooo00<000000?ooo`3oool0/03oool3000004D0oooo00<000000?ooo`3oool0/`3oool10=WI f@00:03oool00`000000oooo0?ooo`180?ooo`030000003oool0oooo08<0oooo0P00002H0?ooo`03 0000003oool0oooo0;<0oooo100000100?ooo`030000003oool0oooo0;@0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0B@3oool00`000000oooo0?ooo`240?ooo`<00000U@3oool00`000000oooo 0?ooo`2g0?ooo`@00000>`3oool00`000000oooo0?ooo`2e0?ooo`40fMWI000X0?ooo`030000003o ool0oooo04X0oooo00<000000?ooo`3oool0QP3oool2000009<0oooo0`0000000d000000oooo0?oo o`2h0?ooo`D00000=@3oool00`000000oooo0?ooo`2f0?ooo`40fMWI000X0?ooo`030000003oool0 oooo04/0oooo00<000000?ooo`3oool0Q`3oool200000940oooo00<000000?ooo`3oool0`03oool4 00000300oooo00<000000?ooo`3oool0]`3oool10=WIf@00:03oool00`000000oooo0?ooo`1<0?oo o`030000003oool0oooo08P0oooo0P00002?0?ooo`030000003oool0oooo0<@0oooo0`00000/0?oo o`030000003oool0oooo0;P0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0C@3oool00`000000 oooo0?ooo`290?ooo`800000S@3oool00`000000oooo0?ooo`370?ooo`@000009`3oool00`000000 oooo0?ooo`2i0?ooo`40fMWI000X0?ooo`030000003oool0oooo04d0oooo00<000000?ooo`3oool0 R`3oool2000008/0oooo00<000000?ooo`3oool0b`3oool400000280oooo00<000000?ooo`3oool0 ^P3oool10=WIf@00:03oool00`000000oooo0?ooo`1>0?ooo`030000003oool0oooo08`0oooo0P00 00290?ooo`030000003oool0oooo00?ooo`030000003oool0oooo0;h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 DP3oool00`000000oooo0?ooo`2B0?ooo`800000O`3oool00`000000oooo0?ooo`3O0?ooo`@00000 2@3oool00`000000oooo0?ooo`2o0?ooo`40fMWI000X0?ooo`030000003oool0oooo05<0oooo00<0 00000?ooo`3oool0T`3oool3000007`0oooo00<000000?ooo`3oool0h`3oool4000000@0oooo00<0 00000?ooo`3oool0`03oool10=WIf@00:03oool00`000000oooo0?ooo`1D0?ooo`030000003oool0 oooo09D0oooo0P00001j0?ooo`030000003oool0oooo0>L0oooo0P0000000d00000000000?ooo`32 0?ooo`40fMWI000X0?ooo`030000003oool0oooo05@0oooo00<000000?ooo`3oool0U`3oool30000 07L0oooo0`0000000d000000oooo0?ooo`3V0?ooo`030000003oool0oooo0<80oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0E@3oool00`000000oooo0?ooo`2I0?ooo`<00000M03oool00`000000 oooo0?ooo`3X0?ooo`030000003oool0oooo0<<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 EP3oool00`000000oooo0?ooo`2K0?ooo`<00000L@3oool00`000000oooo0?ooo`3W0?ooo`030000 003oool0oooo0<@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0E`3oool00`000000oooo0?oo o`2M0?ooo`<00000KP3oool00`000000oooo0?ooo`3V0?ooo`030000003oool0oooo000oooo00<000000?ooo`3oool0;P3oool2@00009/0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0GP3oool00`000000oooo0?ooo`2Y0?ooo`<00000?P3oool3@00000@0oooo0T0000050?oo o`=00000303oool00`000000oooo0?ooo`3O0?ooo`030000003oool0oooo02T0oooo0d0000001P3o oom000000?oood000000oooo@0000080oooo140000080?ooo`9000000`3oool00d000000oooo0?oo o`020?ooo`03@000003oool0oooo07l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0G`3oool0 0`000000oooo0?ooo`2[0?ooo`<00000>P3oool01D000000oooo0?ooo`3ooom0000000T0oooo00E0 00000?ooo`3oool0oooo@000000;0?ooo`D0000000=000000?ooo`3oool0f@3oool00`000000oooo 0?ooo`0[0?ooo`04@000003oool0oooo@00000/0oooo140000020?ooo`03@000003ooom0000000T0 oooo00=000000?ooo`3oool0OP3oool10=WIf@00:03oool00`000000oooo0?ooo`1P0?ooo`030000 003oool0oooo0:d0oooo0P00000h0?ooo`05@000003oool0oooo0?oood0000002@3oool01D000000 oooo0?ooo`3ooom0000000/0oooo00<000000?ooo`3oool0g@3oool00`000000oooo0?ooo`0/0?oo o`03@000003ooom0000000L0oooo140000070?ooo`04@000003oool0oooo@00000P0oooo00=00000 0?ooo`3oool0OP3oool10=WIf@00:03oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo 0:h0oooo0P00000f0?ooo`05@000003oool0oooo0?oood0000002@3oool4@00000`0oooo00<00000 0?ooo`3oool0g03oool00`000000oooo0?ooo`0^0?ooo`9000004P3oool014000000oooo0?oood00 00080?ooo`03@000003oool0oooo07h0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0HP3oool0 0`000000oooo0?ooo`2_0?ooo`<00000<`3oool01D000000oooo0?ooo`3ooom0000000T0oooo00=0 00000?ooo`3oool03@3oool00`000000oooo0?ooo`3K0?ooo`030000003oool0oooo02l0oooo00=0 00000?oood0000004P3oool00d000000oooo@00000070?ooo`03@000003ooom0000007l0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0H`3oool00`000000oooo0?ooo`2a0?ooo`800000<@3oool0 1D000000oooo0?ooo`3ooom0000000X0oooo00=000000?ooo`3oool0303oool00`000000oooo0?oo o`3J0?ooo`030000003oool0oooo02l0oooo0T0000000`3ooom00000@000000A0?ooo`900000203o ool3@00007l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0I03oool00`000000oooo0?ooo`2b 0?ooo`800000<03oool3@00000`0oooo0d00000;0?ooo`030000003oool0oooo0=T0oooo00<00000 0?ooo`3oool0dP3oool10=WIf@00:03oool00`000000oooo0?ooo`1U0?ooo`030000003oool0oooo 0;<0oooo0`00001:0?ooo`030000003oool0oooo0=P0oooo00<000000?ooo`3oool0d`3oool10=WI f@00:03oool00`000000oooo0?ooo`1V0?ooo`030000003oool0oooo0;D0oooo0`0000170?ooo`03 0000003oool0oooo0=L0oooo00<000000?ooo`3oool0e03oool10=WIf@00:03oool00`000000oooo 0?ooo`1W0?ooo`030000003oool0oooo0;L0oooo0`0000140?ooo`030000003oool0oooo0=H0oooo 00<000000?ooo`3oool0e@3oool10=WIf@00:03oool00`000000oooo0?ooo`1X0?ooo`030000003o ool0oooo0;T0oooo100000100?ooo`030000003oool0oooo0=D0oooo00<000000?ooo`3oool0eP3o ool10=WIf@00:03oool00`000000oooo0?ooo`1Y0?ooo`030000003oool0oooo0;`0oooo0`00000m 0?ooo`030000003oool0oooo0=@0oooo00<000000?ooo`3oool0e`3oool10=WIf@00:03oool00`00 0000oooo0?ooo`1Z0?ooo`030000003oool0oooo0;h0oooo0`00000j0?ooo`030000003oool0oooo 09<0oooo1D00000k0?ooo`030000003oool0oooo0=P0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0J`3oool00`000000oooo0?ooo`300?ooo`<00000=`3oool300000003@000003oool0oooo0900 oooo00=000000?ooo`3oool0?03oool00`000000oooo0?ooo`3I0?ooo`40fMWI000X0?ooo`030000 003oool0oooo06`0oooo00<000000?ooo`3oool0`P3oool3000003@0oooo00<000000?ooo`3oool0 U03oool00d000000oooo0?ooo`0j0?ooo`030000003oool0oooo0=X0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0K@3oool00`000000oooo0?ooo`340?ooo`<00000<@3oool00`000000oooo0?oo o`2E0?ooo`03@000003oool0oooo03P0oooo00<000000?ooo`3oool0f`3oool10=WIf@00:03oool0 0`000000oooo0?ooo`1^0?ooo`030000003oool0oooo000oooo0@3IfMT002P0oooo00<000000?ooo`3oool0M03oool00`000000oooo0?oo o`3?0?ooo`<000007`3oool00`000000oooo0?ooo`1d0?ooo`05@000003oool0oooo0?oood000000 0P3oool5@0000080oooo00A000000?ooo`3ooom000002P3oool:@0000300oooo00<000000?ooo`3o ool0h@3oool10=WIf@00:03oool00`000000oooo0?ooo`1e0?ooo`030000003oool0oooo0=40oooo 0`00000L0?ooo`030000003oool0oooo07@0oooo00E000000?ooo`3oool0oooo@00000040?ooo`03 @000003oool0oooo0080oooo00I000000?ooo`3oool0oooo@000003oool5@00003`0oooo00<00000 0?ooo`3oool0hP3oool10=WIf@00:03oool00`000000oooo0?ooo`1f0?ooo`030000003oool0oooo 0=<0oooo0`00000I0?ooo`030000003oool0oooo07<0oooo0T0000020?ooo`900000103oool01400 0000oooo0?ooo`3oool3@00000040?oood0000100000@0000400oooo00<000000?ooo`3oool0h`3o ool10=WIf@00:03oool00`000000oooo0?ooo`1g0?ooo`030000003oool0oooo0=D0oooo0`00000F 0?ooo`<0000000=000000?ooo`3oool0a03oool00`000000oooo0?ooo`3T0?ooo`40fMWI000X0?oo o`030000003oool0oooo07P0oooo00<000000?ooo`3oool0e`3oool400000180oooo00<000000?oo o`3oool0TP3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo02`0oooo00<000000?oo o`3oool0i@3oool10=WIf@00:03oool00`000000oooo0?ooo`1i0?ooo`030000003oool0oooo0=X0 oooo0`00000?0?ooo`030000003oool0oooo09<0oooo00A000000?ooo`3ooom00000;P3oool00`00 0000oooo0?ooo`3V0?ooo`40fMWI000X0?ooo`030000003oool0oooo07X0oooo0P00003M0?ooo`<0 0000303oool00`000000oooo0?ooo`2D0?ooo`03@000003ooom0000002d0oooo00<000000?ooo`3o ool0i`3oool10=WIf@00:03oool00`000000oooo0?ooo`1l0?ooo`030000003oool0oooo0=d0oooo 0`0000090?ooo`030000003oool0oooo09@0oooo00=000000?oood000000;03oool00`000000oooo 0?ooo`3X0?ooo`40fMWI000X0?ooo`030000003oool0oooo07d0oooo00<000000?ooo`3oool0g`3o ool2000000L0oooo00<000000?ooo`3oool0TP3oool7@00002T0oooo00<000000?ooo`3oool0j@3o ool10=WIf@00:03oool00`000000oooo0?ooo`1n0?ooo`030000003oool0oooo0>00oooo0`000004 0?ooo`030000003oool0oooo0<40oooo00<000000?ooo`3oool0jP3oool10=WIf@00:03oool00`00 0000oooo0?ooo`1o0?ooo`030000003oool0oooo0>80oooo0`0000000`3oool000000?ooo`310?oo o`030000003oool0oooo0>/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0P03oool00`000000 oooo0?ooo`3T0?ooo`<00000`03oool00`000000oooo0?ooo`3/0?ooo`40fMWI000X0?ooo`030000 003oool0oooo0840oooo00<000000?ooo`3oool0i03oool00`000000oooo0000000200000;`0oooo 00<000000?ooo`3oool0k@3oool10=WIf@00:03oool00`000000oooo0?ooo`220?ooo`800000i03o ool00`000000oooo0?ooo`020?ooo`<00000^03oool00`000000oooo0?ooo`3^0?ooo`40fMWI000X 0?ooo`030000003oool0oooo08@0oooo00<000000?ooo`3oool0h@3oool00`000000oooo0?ooo`05 0?ooo`@00000/`3oool00`000000oooo0?ooo`3_0?ooo`40fMWI000X0?ooo`030000003oool0oooo 08D0oooo00<000000?ooo`3oool0h03oool300000003@000003oool0oooo00H0oooo0`00002_0?oo o`030000003oool0oooo0?00oooo0@3IfMT002P0oooo00<000000?ooo`3oool0QP3oool00`000000 oooo0?ooo`3O0?ooo`030000003oool0oooo00`0oooo0`00002[0?ooo`030000003oool0oooo0?40 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0Q`3oool00`000000oooo0?ooo`3N0?ooo`030000 003oool0oooo00l0oooo0`00002W0?ooo`030000003oool0oooo0?80oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0R03oool00`000000oooo0?ooo`3M0?ooo`030000003oool0oooo0180oooo0`00 002S0?ooo`030000003oool0oooo0?<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0R@3oool2 00000=d0oooo00<000000?ooo`3oool05@3oool3000009l0oooo00<000000?ooo`3oool0m03oool1 0=WIf@00:03oool00`000000oooo0?ooo`2;0?ooo`030000003oool0oooo0=X0oooo00<000000?oo o`3oool0603oool3000009/0oooo00<000000?ooo`3oool0m@3oool10=WIf@00:03oool00`000000 oooo0?ooo`2<0?ooo`030000003oool0oooo0=T0oooo00<000000?ooo`3oool06`3oool5000009D0 oooo00<000000?ooo`3oool0mP3oool10=WIf@00:03oool00`000000oooo0?ooo`2=0?ooo`030000 003oool0oooo0=P0oooo00<000000?ooo`3oool0803oool5000008l0oooo00<000000?ooo`3oool0 m`3oool10=WIf@00:03oool00`000000oooo0?ooo`2>0?ooo`030000003oool0oooo0=L0oooo00<0 00000?ooo`3oool09@3oool3000008/0oooo00<000000?ooo`3oool0n03oool10=WIf@00:03oool0 0`000000oooo0?ooo`2?0?ooo`030000003oool0oooo0=H0oooo00<000000?ooo`3oool0:03oool3 000008L0oooo00<000000?ooo`3oool0n@3oool10=WIf@00:03oool00`000000oooo0?ooo`2@0?oo o`030000003oool0oooo0;P0oooo0d0000040?ooo`9000001@3oool3@00000`0oooo00<000000?oo o`3oool0:`3oool3000008<0oooo00<000000?ooo`3oool0nP3oool10=WIf@00:03oool00`000000 oooo0?ooo`2A0?ooo`800000]`3oool01D000000oooo0?ooo`3ooom0000000T0oooo00E000000?oo o`3oool0oooo@000000;0?ooo`030000003oool0oooo02h0oooo0`00001o0?ooo`030000003oool0 oooo0?/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0T`3oool00`000000oooo0?ooo`2d0?oo o`05@000003oool0oooo0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000/0oooo1@00 00000d000000oooo0?ooo`0/0?ooo`@00000NP3oool00`000000oooo0?ooo`3l0?ooo`40fMWI000X 0?ooo`030000003oool0oooo09@0oooo00<000000?ooo`3oool0/`3oool01D000000oooo0?ooo`3o oom0000000X0oooo0d00000<0?ooo`030000003oool0oooo03D0oooo0`00001f0?ooo`030000003o ool0oooo0?d0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0U@3oool00`000000oooo0?ooo`2b 0?ooo`05@000003oool0oooo0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000/0oooo 00<000000?ooo`3oool0>03oool300000780oooo00<000000?ooo`3oool0oP3oool10=WIf@00:03o ool00`000000oooo0?ooo`2F0?ooo`800000/P3oool01D000000oooo0?ooo`3ooom0000000T0oooo 00E000000?ooo`3oool0oooo@000000;0?ooo`030000003oool0oooo03/0oooo1000001]0?ooo`03 0000003oool0oooo0?l0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0V03oool00`000000oooo 0?ooo`2`0?ooo`=000002`3oool3@00000`0oooo00<000000?ooo`3oool0?`3oool5000006L0oooo 00<000000?ooo`3oool0o`3oool10?ooo`40fMWI000X0?ooo`030000003oool0oooo09T0oooo00<0 00000?ooo`3oool0c03oool00`000000oooo0?ooo`140?ooo`<00000H`3oool00`000000oooo0?oo o`3o0?ooo`80oooo0@3IfMT002P0oooo00<000000?ooo`3oool0VP3oool200000<`0oooo00<00000 0?ooo`3oool0A`3oool3000005l0oooo00<000000?ooo`3oool0o`3oool30?ooo`40fMWI000X0?oo o`030000003oool0oooo09`0oooo00<000000?ooo`3oool0b@3oool00`000000oooo0?ooo`1:0?oo o`@00000FP3oool00`000000oooo0?ooo`3o0?ooo`@0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0W@3oool00`000000oooo0?ooo`380?ooo`030000003oool0oooo04h0oooo0`00001F0?ooo`03 0000003oool0oooo0?l0oooo1@3oool10=WIf@00:03oool00`000000oooo0?ooo`2N0?ooo`800000 b03oool00`000000oooo0?ooo`1A0?ooo`<00000DP3oool00`000000oooo0?ooo`3o0?ooo`H0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0X03oool00`000000oooo0?ooo`350?ooo`030000003o ool0oooo05@0oooo0`00001>0?ooo`030000003oool0oooo0?l0oooo1`3oool10=WIf@00:03oool0 0`000000oooo0?ooo`2Q0?ooo`030000003oool0oooo0<@0oooo0`0000000d000000oooo0?ooo`1D 0?ooo`<00000BP3oool00`000000oooo0?ooo`3o0?ooo`P0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0XP3oool200000<@0oooo00<000000?ooo`3oool0FP3oool4000004D0oooo00<000000?oo o`3oool0o`3oool90?ooo`40fMWI000X0?ooo`030000003oool0oooo0:@0oooo00<000000?ooo`3o ool0`@3oool00`000000oooo0?ooo`1N0?ooo`D00000?`3oool00`000000oooo0?ooo`3o0?ooo`X0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0Y@3oool200000<40oooo00<000000?ooo`3oool0 H`3oool3000003/0oooo00<000000?ooo`3oool0o`3oool;0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0:L0oooo00<000000?ooo`3oool0_P3oool00`000000oooo0?ooo`1V0?ooo`<00000=`3o ool00`000000oooo0?ooo`3o0?ooo``0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0Z03oool2 00000;h0oooo00<000000?ooo`3oool0J@3oool400000380oooo00<000000?ooo`3oool0o`3oool= 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0:X0oooo00<000000?ooo`3oool0^`3oool00`00 0000oooo0?ooo`1]0?ooo`<00000;P3oool00`000000oooo0?ooo`3o0?ooo`h0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0Z`3oool200000;/0oooo00<000000?ooo`3oool0L03oool3000002X0 oooo00<000000?ooo`3oool0o`3oool?0?ooo`40fMWI000X0?ooo`030000003oool0oooo0:d0oooo 00<000000?ooo`3oool0^03oool00`000000oooo0?ooo`1c0?ooo`D00000903oool00`000000oooo 0?ooo`3o0?oooa00oooo0@3IfMT002P0oooo00<000000?ooo`3oool0[P3oool200000;P0oooo00<0 00000?ooo`3oool0N03oool5000001h0oooo00<000000?ooo`3oool0o`3ooolA0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0;00oooo00<000000?ooo`3oool0]@3oool00`000000oooo0?ooo`1m 0?ooo`<000006P3oool00`000000oooo0?ooo`3o0?oooa80oooo0@3IfMT002P0oooo00<000000?oo o`3oool0/@3oool200000;D0oooo00<000000?ooo`3oool0P03oool3000001H0oooo00<000000?oo o`3oool0o`3ooolC0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;<0oooo00<000000?ooo`3o ool0/P3oool300000003@000003oool0oooo0800oooo0`00000B0?ooo`030000003oool0oooo0?l0 oooo503oool10=WIf@00:03oool00`000000oooo0?ooo`2d0?ooo`800000/P3oool00`000000oooo 0?ooo`260?ooo`<000003P3oool00`000000oooo0?ooo`3o0?oooaD0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0]P3oool00`000000oooo0?ooo`2_0?ooo`030000003oool0oooo08T0oooo1000 00090?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00:03oool00`000000oooo0?ooo`2g 0?ooo`030000003oool0oooo0:h0oooo00<000000?ooo`3oool0S@3oool4000000@0oooo00<00000 0?ooo`3oool0o`3ooolG0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;P0oooo0P00002^0?oo o`030000003oool0oooo0940oooo0P0000000d00000000000?ooo`3o0?oooaT0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0^P3oool00`000000oooo0?ooo`2[0?ooo`030000003oool0oooo09<0 oooo00<000000?ooo`3oool0o`3ooolI0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;/0oooo 00<000000?ooo`3oool0ZP3oool00`000000oooo0?ooo`2B0?ooo`030000003oool0oooo0?l0oooo 6P3oool10=WIf@00:03oool00`000000oooo0?ooo`2l0?ooo`800000ZP3oool00`000000oooo0?oo o`2A0?ooo`030000003oool0oooo0?l0oooo6`3oool10=WIf@00:03oool00`000000oooo0?ooo`2n 0?ooo`030000003oool0oooo0:L0oooo00<000000?ooo`3oool0T03oool00`000000oooo0?ooo`0] 0?ooo`03@000003oool0oooo0>/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0_`3oool00`00 0000oooo0?ooo`2V0?ooo`030000003oool0oooo08l0oooo00<000000?ooo`3oool0;P3oool2@000 0>`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0`03oool200000:H0oooo00<000000?ooo`3o ool0SP3oool00`000000oooo0?ooo`0Y0?ooo`=0000000H0oooo@000003ooom000000?oood000002 0?ooo`A000001`3oool3@00000<0oooo00A000000?ooo`3oool0oooo0d00003A0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0<80oooo00<000000?ooo`3oool0X`3oool300000003@000003oool0 oooo08X0oooo00<000000?ooo`3oool0:`3oool014000000oooo0?oood00000<0?ooo`A000000P3o ool00d000000oooo0?ooo`070?ooo`03@000003oool0oooo0=00oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0``3oool200000:<0oooo00<000000?ooo`3oool0S03oool00`000000oooo0?ooo`0/ 0?ooo`03@000003ooom0000000L0oooo140000080?ooo`03@000003oool0oooo00P0oooo00=00000 0?ooo`3oool0c`3oool10=WIf@00:03oool00`000000oooo0?ooo`350?ooo`800000X@3oool00`00 0000oooo0?ooo`2;0?ooo`030000003oool0oooo02h0oooo0T00000D0?ooo`03@000003oool0oooo 00P0oooo00=000000?ooo`3oool0cP3oool10=WIf@00:03oool00`000000oooo0?ooo`370?ooo`03 0000003oool0oooo09h0oooo00<000000?ooo`3oool0RP3oool00`000000oooo0?ooo`0_0?ooo`03 @000003ooom000000180oooo0T0000080?ooo`03@000003ooom000000=00oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0b03oool2000009h0oooo00<000000?ooo`3oool0R@3oool00`000000oooo 0?ooo`0_0?ooo`90000000<0oooo@000040000004P3oool00d000000oooo0?ooo`070?ooo`900000 d03oool10=WIf@00:03oool00`000000oooo0?ooo`3:0?ooo`800000W03oool00`000000oooo0?oo o`280?ooo`030000003oool0oooo0?l0oooo903oool10=WIf@00:03oool00`000000oooo0?ooo`3< 0?ooo`030000003oool0oooo09T0oooo00<000000?ooo`3oool0Q`3oool00`000000oooo0?ooo`3o 0?ooobD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0c@3oool2000009T0oooo00<000000?oo o`3oool0QP3oool00`000000oooo0?ooo`3o0?ooobH0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0c`3oool2000009L0oooo00<000000?ooo`3oool0Q@3oool00`000000oooo0?ooo`3o0?ooobL0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0d@3oool00`000000oooo0?ooo`2D0?ooo`030000 003oool0oooo08@0oooo00<000000?ooo`3oool0o`3ooolX0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0=80oooo0P0000230?ooo`E00000303oool00`000000oooo0?ooo`230?ooo`030000003o ool0oooo0?l0oooo:@3oool10=WIf@00:03oool00`000000oooo0?ooo`3D0?ooo`800000P`3oool0 0d000000oooo0?ooo`0<0?ooo`030000003oool0oooo0880oooo00<000000?ooo`3oool0o`3ooolZ 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0=H0oooo00<000000?ooo`3oool0P03oool00d00 0000oooo0?ooo`0<0?ooo`D0000000=000000?ooo`3oool0O03oool00`000000oooo0?ooo`3o0?oo ob/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0e`3oool200000800oooo00=000000?ooo`3o ool0303oool00`000000oooo0?ooo`200?ooo`030000003oool0oooo0?l0oooo;03oool10=WIf@00 :03oool00`000000oooo0?ooo`3I0?ooo`800000OP3oool00d000000oooo0?ooo`0<0?ooo`030000 003oool0oooo07l0oooo00<000000?ooo`3oool0o`3oool]0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0=/0oooo00<000000?ooo`3oool0N`3oool00d000000oooo0?ooo`0<0?ooo`030000003o ool0oooo07h0oooo00<000000?ooo`3oool0o`3oool^0?ooo`40fMWI000X0?ooo`030000003oool0 oooo0=`0oooo0P00001j0?ooo`9000003P3oool00`000000oooo0?ooo`1m0?ooo`030000003oool0 oooo0?l0oooo;`3oool10=WIf@00:03oool00`000000oooo0?ooo`3N0?ooo`800000R03oool00`00 0000oooo0?ooo`1l0?ooo`030000003oool0oooo0?l0oooo<03oool10=WIf@00:03oool00`000000 oooo0?ooo`3P0?ooo`030000003oool0oooo08D0oooo00<000000?ooo`3oool0N`3oool00`000000 oooo0?ooo`3o0?oooc40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0h@3oool2000008D0oooo 00<000000?ooo`3oool0NP3oool00`000000oooo0?ooo`3o0?oooc80oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0h`3oool2000008<0oooo00<000000?ooo`3oool0N@3oool00`000000oooo0?oo o`3o0?oooc<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0i@3oool200000840oooo00<00000 0?ooo`3oool0N03oool00`000000oooo0?ooo`3o0?oooc@0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0i`3oool2000007l0oooo00<000000?ooo`3oool0M`3oool00`000000oooo0?ooo`3o0?oo ocD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0j@3oool2000007d0oooo0`0000000d000000 oooo0?ooo`1c0?ooo`030000003oool0oooo0?l0oooo=P3oool10=WIf@00:03oool00`000000oooo 0?ooo`3[0?ooo`800000N`3oool00`000000oooo0?ooo`1e0?ooo`030000003oool0oooo0?l0oooo =`3oool10=WIf@00:03oool00`000000oooo0?ooo`3]0?ooo`800000N@3oool00`000000oooo0?oo o`1d0?ooo`030000003oool0oooo0?l0oooo>03oool10=WIf@00:03oool00`000000oooo0?ooo`3_ 0?ooo`800000M`3oool00`000000oooo0?ooo`1c0?ooo`030000003oool0oooo0?l0oooo>@3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3a0?ooo`800000M@3oool00`000000oooo0?ooo`1b0?oo o`030000003oool0oooo0?l0oooo>P3oool10=WIf@00:03oool00`000000oooo0?ooo`3c0?ooo`80 0000L`3oool00`000000oooo0?ooo`1a0?ooo`030000003oool0oooo0?l0oooo>`3oool10=WIf@00 :03oool00`000000oooo0?ooo`3e0?ooo`800000L@3oool00`000000oooo0?ooo`1`0?ooo`030000 003oool0oooo0?l0oooo?03oool10=WIf@00:03oool00`000000oooo0?ooo`3g0?ooo`800000K`3o ool00`000000oooo0?ooo`1_0?ooo`030000003oool0oooo0?l0oooo?@3oool10=WIf@00:03oool0 0`000000oooo0?ooo`3i0?ooo`800000K@3oool00`000000oooo0?ooo`1^0?ooo`030000003oool0 oooo0?l0oooo?P3oool10=WIf@00:03oool00`000000oooo0?ooo`3k0?ooo`800000J`3oool00`00 0000oooo0?ooo`1]0?ooo`030000003oool0oooo0?l0oooo?`3oool10=WIf@00:03oool00`000000 oooo0?ooo`3m0?ooo`<00000J03oool00`000000oooo0?ooo`1/0?ooo`030000003oool0oooo0?l0 oooo@03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`40oooo0P00001V0?ooo`030000 003oool0oooo06/0oooo00<000000?ooo`3oool0o`3ooom10?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0oooo0`3oool2000006@0oooo0`0000000d000000oooo0?ooo`1W0?ooo`030000003o ool0oooo0?l0oooo@P3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`D0oooo0P00001R 0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool0o`3ooom30?ooo`40fMWI000X0?oo o`030000003oool0oooo0?l0oooo1`3oool3000005l0oooo00<000000?ooo`3oool0J03oool00`00 0000oooo0?ooo`3o0?oood@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3oool:0?ooo`80 0000G@3oool00`000000oooo0?ooo`1W0?ooo`030000003oool0oooo0?l0ooooA@3oool10=WIf@00 :03oool00`000000oooo0?ooo`3o0?ooo``0oooo0P00001K0?ooo`030000003oool0oooo06H0oooo 00<000000?ooo`3oool0o`3ooom60?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo3P3o ool2000005T0oooo00<000000?ooo`3oool0I@3oool00`000000oooo0?ooo`3o0?ooodL0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0o`3oool@0?ooo`800000E`3oool00`000000oooo0?ooo`1T 0?ooo`030000003oool0oooo0?l0ooooB03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oo oa80oooo0P00001E0?ooo`030000003oool0oooo06<0oooo00<000000?ooo`3oool0o`3ooom90?oo o`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo503oool2000005<0oooo00<000000?ooo`3o ool0HP3oool00`000000oooo0?ooo`3o0?ooodX0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 o`3ooolF0?ooo`800000D@3oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo0?l0oooo B`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooaP0oooo0P00001?0?ooo`030000003o ool0oooo0600oooo00<000000?ooo`3oool0o`3ooom<0?ooo`40fMWI000X0?ooo`030000003oool0 oooo0?l0oooo6P3oool2000004d0oooo0`0000000d000000oooo0?ooo`1L0?ooo`030000003oool0 oooo0?l0ooooC@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooa`0oooo0`00001:0?oo o`030000003oool0oooo05h0oooo00<000000?ooo`3oool0o`3ooom>0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo0?l0oooo7`3oool2000004P0oooo00<000000?ooo`3oool0G@3oool00`000000 oooo0?ooo`3o0?ooodl0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooolQ0?ooo`<00000 A@3oool00`000000oooo0?ooo`1L0?ooo`030000003oool0oooo0?l0ooooD03oool10=WIf@00:03o ool00`000000oooo0?ooo`3o0?ooob@0oooo0`0000120?ooo`030000003oool0oooo05/0oooo00<0 00000?ooo`3oool0o`3ooomA0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo9`3oool2 00000400oooo00<000000?ooo`3oool0FP3oool00`000000oooo0?ooo`3o0?oooe80oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0o`3ooolY0?ooo`<00000?@3oool00`000000oooo0?ooo`1I0?oo o`030000003oool0oooo0?l0ooooD`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooob`0 oooo0`00000j0?ooo`030000003oool0oooo05P0oooo00<000000?ooo`3oool0o`3ooomD0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0?l0oooo;`3oool2000003P0oooo00<000000?ooo`3oool0 E`3oool00`000000oooo0?ooo`3o0?oooeD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oola0?ooo`<00000=@3oool00`000000oooo0?ooo`1F0?ooo`030000003oool0oooo0?l0ooooEP3o ool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooc@0oooo0P00000E0?ooo`E000000`3oool2 @00000@0oooo1D00000;0?ooo`030000003oool0oooo05D0oooo00<000000?ooo`3oool0o`3ooomG 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo=P3oool3000001@0oooo00=000000?oo o`3oool02@3oool00d000000oooo0?ooo`0=0?ooo`030000003oool0oooo05@0oooo00<000000?oo o`3oool0o`3ooomH0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo>@3oool200000180 oooo00=000000?ooo`3oool02P3oool00d000000oooo0?ooo`0<0?ooo`D0000000=000000?ooo`3o ool0CP3oool00`000000oooo0?ooo`3o0?oooeT0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 o`3ooolk0?ooo`<000003`3oool00d000000oooo0?ooo`0;0?ooo`03@000003oool0oooo00/0oooo 00<000000?ooo`3oool0DP3oool00`000000oooo0?ooo`3o0?oooeX0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0o`3oooln0?ooo`<00000303oool00d000000oooo0?ooo`0<0?ooo`03@000003o ool0oooo00X0oooo00<000000?ooo`3oool0D@3oool00`000000oooo0?ooo`3o0?oooe/0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0o`3ooom10?ooo`<000002@3oool00d000000oooo0?ooo`09 0?ooo`05@000003oool0oooo0?oood0000002`3oool00`000000oooo0?ooo`1@0?ooo`030000003o ool0oooo0?l0ooooG03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oood@0oooo0`000005 0?ooo`900000303oool3@00000`0oooo00<000000?ooo`3oool0C`3oool00`000000oooo0?ooo`3o 0?oooed0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooom70?ooo`<000007`3oool00`00 0000oooo0?ooo`1>0?ooo`030000003oool0oooo0?l0ooooGP3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooodX0oooo0`00000L0?ooo`030000003oool0oooo04d0oooo00<000000?ooo`3o ool0o`3ooomO0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooC@3oool4000001P0oooo 00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`3o0?ooof00oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0o`3ooomA0?ooo`@00000503oool00`000000oooo0?ooo`1;0?ooo`030000003o ool0oooo0?l0ooooH@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooeD0oooo1000000@ 0?ooo`030000003oool0oooo04X0oooo00<000000?ooo`3oool0o`3ooomR0?ooo`40fMWI000X0?oo o`030000003oool0oooo0?l0ooooF@3oool4000000`0oooo00<000000?ooo`3oool0B@3oool00`00 0000oooo0?ooo`3o0?ooof<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomM0?ooo`@0 0000203oool300000003@000003oool0oooo04D0oooo00<000000?ooo`3oool0o`3ooomT0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0?l0ooooH@3oool3000000D0oooo00<000000?ooo`3oool0 A`3oool00`000000oooo0?ooo`3o0?ooofD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oomT0?ooo`@0000000<0oooo0000003oool0A`3oool00`000000oooo0?ooo`3o0?ooofH0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0o`3ooomX0?ooo`<00000AP3oool00`000000oooo0?ooo`3o 0?ooofL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`040000003oool00000 000004<0oooo00<000000?ooo`3oool0o`3ooomX0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0?l0ooooJ@3oool010000000oooo0?ooo`3oool5000003d0oooo00<000000?ooo`3oool0o`3ooomY 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`060?oo o`D00000=`3oool00`000000oooo0?ooo`3o0?ooofX0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0o`3ooomY0?ooo`030000003oool0oooo00/0oooo1P00000`0?ooo`030000003oool0oooo0?l0 ooooJ`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0 4@3oool5000002X0oooo00<000000?ooo`3oool0o`3ooom/0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0F0?ooo`D00000903oool00`000000oooo0?oo o`3o0?ooofd0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0 oooo01/0oooo1`00000L0?ooo`030000003oool0oooo0?l0ooooKP3oool10=WIf@00:03oool00`00 0000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool08P3oool8000001<0oooo00<000000?oo o`3oool0o`3ooom_0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool300000003 @000003oool0oooo02L0oooo2000000:0?ooo`030000003oool0oooo0?l0ooooL03oool10=WIf@00 :03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0P3oool00`000000oooo0?ooo`3o0?ooog80oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool0o`3ooomc 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0h0?oo o`030000003oool0oooo0?l0ooooM03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0 oooo00<000000?ooo`3oool0=`3oool00`000000oooo0?ooo`3o0?ooogD0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0 o`3ooomf0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?oo o`0e0?ooo`030000003oool0oooo0?l0ooooM`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o 0?ooofT0oooo00<000000?ooo`3oool0=03oool00`000000oooo0?ooo`0W0?ooo`03@000003oool0 oooo0?l0ooooCP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?oo o`3oool0<`3oool00`000000oooo0?ooo`0X0?ooo`900000o`3ooom?0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0b0?ooo`030000003oool0oooo02<0 oooo0d0000001P3ooom000000?oood000000oooo@0000080oooo140000070?ooo`=00000o`3oooln 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0a0?oo o`030000003oool0oooo02D0oooo00A000000?ooo`3ooom000002`3oool4@00000<0oooo00=00000 0?ooo`3oool0o`3ooolm0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool30000 0003@000003oool0oooo02d0oooo00<000000?ooo`3oool09P3oool00d000000oooo@00000070?oo o`A000002@3oool00d000000oooo0?ooo`3o0?oooc`0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0o`3ooomY0?ooo`030000003oool0oooo02l0oooo00<000000?ooo`3oool0:03oool2@00001D0 oooo00=000000?ooo`3oool0o`3ooolk0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo J@3oool00`000000oooo0?ooo`0^0?ooo`030000003oool0oooo02T0oooo00=000000?oood000000 4P3oool00d000000oooo@000003o0?ooocd0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oomY0?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool0:@3oool2@00000030?oood00 001000000180oooo0T00003o0?ooocd0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY 0?ooo`030000003oool0oooo02`0oooo00<000000?ooo`3oool0o`3ooon00?ooo`40fMWI000X0?oo o`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0[0?ooo`030000003oool0oooo 0?l0ooooP@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3o ool0:P3oool00`000000oooo0?ooo`3o0?oooh80oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 o`3ooomY0?ooo`030000003oool0oooo02T0oooo00<000000?ooo`3oool0o`3ooon30?ooo`40fMWI 000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0X0?ooo`030000003o ool0oooo0?l0ooooQ03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oood/0oooo1D000003 0?ooo`9000001P3oool3@00000/0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`3o 0?ooohD0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooom=0?ooo`03@000003oool0oooo 00`0oooo00=000000?ooo`3oool02P3oool00`000000oooo0?ooo`0V0?ooo`030000003oool0oooo 0?l0ooooQP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooodd0oooo00=000000?ooo`3o ool02@3oool5@00000/0oooo1@0000000d000000oooo0?ooo`0P0?ooo`030000003oool0oooo0?l0 ooooQ`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooodd0oooo00=000000?ooo`3oool0 2@3oool014000000oooo0?oood00000<0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3o ool0o`3ooon80?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooC@3oool00d000000oooo 0?ooo`0:0?ooo`03@000003ooom0000000`0oooo00<000000?ooo`3oool08`3oool00`000000oooo 0?ooo`3o0?ooohT0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooom=0?ooo`03@000003o ool0oooo00/0oooo0T00000<0?ooo`030000003oool0oooo0280oooo00<000000?ooo`3oool0o`3o oon:0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooC03oool2@00000h0oooo00=00000 0?ooo`3oool02P3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0?l0ooooR`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0803oool00`00 0000oooo0?ooo`3o0?oooh`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`03 0000003oool0oooo01l0oooo00<000000?ooo`3oool0o`3ooon=0?ooo`40fMWI000X0?ooo`030000 003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo0?l0oooo SP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool07@3o ool00`000000oooo0?ooo`3o0?ooohl0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY 0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0o`3ooon@0?ooo`40fMWI000X0?oo o`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo 0?l0ooooT@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3o ool06P3oool00`000000oooo0?ooo`3o0?oooi80oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 o`3ooomY0?ooo`<0000000=000000?ooo`3oool05P3oool00`000000oooo0?ooo`3o0?oooi<0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo01P0oooo00<0 00000?ooo`3oool0o`3ooonD0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool0 0`000000oooo0?ooo`0G0?ooo`030000003oool0oooo0?l0ooooU@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`3o0?oo oiH0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0oooo01D0 oooo00<000000?ooo`3oool0o`3ooonG0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo J@3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo0?l0ooooV03oool10=WIf@00:03o ool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?oo o`3o0?oooiT0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000003oool0 oooo0180oooo00<000000?ooo`3oool0o`3ooonJ0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0?l0ooooJ@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0?l0ooooV`3oool10=WI f@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0403oool00`000000 oooo0?ooo`3o0?oooi`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`030000 003oool0oooo00l0oooo00<000000?ooo`3oool0o`3ooonM0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0ooooJ@3oool300000003@000003oool0oooo00/0oooo00<000000?ooo`3oool0o`3o oonN0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`0= 0?ooo`030000003oool0oooo0?l0ooooW`3oool10=WIf@00:03oool00`000000oooo0?ooo`1j0?oo o`03@000003oool0oooo0>/0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`3o0?oo oj00oooo0@3IfMT002P0oooo00<000000?ooo`3oool0L`3oool3@00000040?oood000000oooo0?oo o`9000000P3oool4@0000>H0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`3o0?oo oj40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0M03oool014000000oooo0?oood0000020?oo o`03@000003ooom0000000L0oooo140000001@3ooom00000@000003ooom000000=/0oooo00<00000 0?ooo`3oool02P3oool00`000000oooo0?ooo`3o0?oooj80oooo0@3IfMT002P0oooo00<000000?oo o`3oool0M03oool00d000000oooo@00000070?ooo`A000001P3oool01T000000oooo0?oood000000 oooo@0000=X0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`3o0?oooj<0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0M@3oool2@0000180oooo0T0000000`3ooom000000?ooo`3J 0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0o`3ooonT0?ooo`40fMWI000X0?oo o`030000003oool0oooo07D0oooo00=000000?oood000000l03oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo0?l0ooooY@3oool10=WIf@00:03oool00`000000oooo0?ooo`1d0?ooo`90 000000<0oooo@00004000000k`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0 ooooYP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo00<000000?ooo`3oool0 1@3oool00`000000oooo0?ooo`3o0?ooojL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oomY0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0o`3ooonX0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0?l0ooooJ@3oool00`000000oooo0?ooo`030?ooo`030000003oool0 oooo0?l0ooooZ@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofT0oooo0`0000000d00 0000oooo0000003o0?oooj`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomY0?ooo`05 0000003oool0oooo0?ooo`000000o`3ooon]0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0 ooooJ@3oool010000000oooo0?ooo`00003o0?ooojh0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0o`3ooomY0?ooo`030000003oool000000?l0oooo[`3oool10=WIf@00:03oool00`000000oooo 0?ooo`3o0?ooofT0oooo0P00003o0?oook00oooo0@3IfMT002P0ooooo`00001]00000?l0oooo/@3o ool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WI f@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3o oooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?oo ool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0oooo A`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool1 0=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00 o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo 0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0 ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3o ool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WI f@00o`3ooonC0?ooo`90000000<0oooo@00004000000o`3ooon^0?ooo`40fMWI003o0?oooi80oooo 00=000000?ooo`3oool00T00003o0?ooojl0oooo0@3IfMT00?l0ooooTP3oool01D000000oooo0?oo o`3ooom000000?l0oooo[`3oool10=WIf@00o`3ooonB0?ooo`05@000003oool0oooo0?oood000000 o`3ooon_0?ooo`40fMWI003o0?oooi40oooo0T0000020?ooo`900000o`3ooon_0?ooo`40fMWI003o 0?ooool0ooooo`3ooom70?ooo`40fMWI003o0?ooool0ooooo`3ooom70?ooo`40fMWI003o0?ooool0 ooooo`3ooom70?ooo`40fMWI003o0?ooool0ooooo`3ooom70?ooo`40fMWI0000\ \>"], ImageRangeCache->{{{0, 836}, {417.5, 0}} -> {-1.74789, -0.0991029, \ 0.00433119, 0.00433119}}] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Metriche con singolarit\[AGrave] \ \>", "Subsubsection", FontSize->24], Cell["\<\ (0, 0) : \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .7 g .5 .5 m .5 .18627 L .65749 .34251 L F 0 0 0 r .5 Mabswid 0 0 m .02028 .00296 L .0424 .00626 L .06318 .00942 L .08316 .01253 L .10443 .0159 L .1249 .01922 L .14666 .02283 L .16762 .0264 L .18779 .02991 L .20924 .03374 L .2299 .03753 L .24976 .04128 L .27092 .04537 L .29127 .04944 L .31291 .0539 L .33376 .05833 L .35381 .06275 L .37515 .06762 L .39569 .07248 L .41752 .07787 L .43856 .08329 L .4588 .08874 L .48033 .09483 L .5 .10068 L s .5 .10068 m .51501 .10505 L .53139 .10934 L .54677 .11292 L .56156 .11596 L .5773 .11878 L .59246 .12109 L .60856 .12316 L .62408 .1248 L .63901 .12608 L .65489 .12716 L .67018 .12796 L .68489 .12855 L .70054 .12901 L .71561 .12933 L .72383 .12946 L .73163 .12956 L .73942 .12963 L .74648 .12969 L .75412 .12974 L .76227 .12978 L .76975 .12981 L .77784 .12983 L .78559 .12985 L .7895 .12985 L .79378 .12986 L .79767 .12986 L .80136 .12987 L .80561 .12987 L .80949 .12987 L .81324 .12987 L .81723 .12987 L .82063 .12987 L .82257 .12987 L .82438 .12987 L .82821 .12987 L .83223 .12988 L .836 .12988 L .83764 .12988 L .83942 .12988 L .84041 .12988 L .84133 .12988 L .84313 .12988 L .84405 .12988 L .84505 .12988 L .84556 .12988 L .84611 .12988 L .84662 .12988 L .84709 .12988 L .84753 .12988 L Mistroke .848 .12988 L .84844 .12988 L .84884 .12988 L .84932 .12988 L .84983 .12988 L .85075 .12988 L .85121 .12988 L .85164 .12988 L .85208 .12988 L .85257 .12988 L .85299 .12988 L .85337 .12988 L .85381 .12988 L .85423 .12988 L .85467 .12988 L .85515 .12988 L .85602 .12988 L .85705 .12988 L .85799 .12988 L .8599 .12988 L .86198 .12988 L .86379 .12988 L .86547 .12988 L .86641 .12988 L .86725 .12988 L .86772 .12988 L .86823 .12988 L .86871 .12988 L .86915 .12988 L .86961 .12988 L .87012 .12988 L Mfstroke 0 0 m .02028 .00412 L .0424 .00874 L .06318 .0132 L .08316 .01762 L .10443 .02247 L .1249 .0273 L .14666 .03261 L .16762 .03792 L .18779 .04323 L .20924 .0491 L .2299 .05501 L .24976 .06094 L .27092 .06757 L .29127 .0743 L .31291 .08186 L .33376 .08962 L .35381 .09758 L .37515 .1067 L .39569 .11624 L .41752 .12738 L .43856 .13936 L .4588 .1524 L .48033 .16852 L .5 .18627 L s .5 .18627 m .50639 .19266 L .51336 .19963 L .5199 .20617 L .52619 .21246 L .53289 .21916 L .53934 .22561 L .5462 .23246 L .5528 .23907 L .55915 .24542 L .56591 .25218 L .57242 .25868 L .57867 .26494 L .58534 .2716 L .59175 .27801 L .59856 .28483 L .60513 .2914 L .61145 .29771 L .61817 .30443 L .62464 .3109 L .63152 .31778 L .63814 .3244 L .64452 .33077 L .6513 .33753 L .65749 .34251 L s 0 0 m .01899 .00512 L .0397 .01089 L .05916 .01652 L .07787 .02214 L .09778 .02836 L .11695 .03462 L .13732 .04158 L .15695 .04863 L .17583 .05578 L .19592 .06383 L .21527 .07208 L .23386 .08056 L .25367 .09028 L .27273 .10044 L .29299 .11233 L .31251 .12513 L .33129 .1391 L .35127 .15645 L .3705 .1768 L .38032 .1893 L .39094 .20531 L .4012 .22462 L .40608 .23594 L .41064 .24846 L .41511 .26356 L .4174 .27302 L .41989 .28538 L .42131 .29384 L .42262 .30309 L .42385 .3136 L .4245 .32028 L .42521 .32877 L .42584 .33811 L .42642 .34906 L .42697 .36363 L .42756 .39215 L s .42756 .39215 m .42756 .5 L s .5 .5 m 1 0 L s gsave .62732 .09549 -85 -11.75 Mabsadd m 1 1 Mabs scale currentpoint translate 0 23.5 translate 1 -1 scale 63.000 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Type) show 99.250 15.125 moveto (I) show 107.000 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .30901 .22282 -88.625 -11.75 Mabsadd m 1 1 Mabs scale currentpoint translate 0 23.5 translate 1 -1 scale 63.000 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Type) show 99.250 15.125 moveto (II) show 114.250 15.125 moveto %%IncludeResource: font Courier-Italic %%IncludeFont: Courier-Italic /Courier-Italic findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .93927 .14324 -86.4375 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.85) show 90.813 13.000 moveto (K) show 96.375 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 97.563 9.375 moveto (thr) show 109.875 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .35676 .47746 -86.4375 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.15) show 90.813 13.000 moveto (K) show 96.375 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 97.563 9.375 moveto (thr) show 109.875 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .69099 .36606 -72.5313 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 9.375 moveto (thr) show 82.063 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .81831 .25465 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{837, 418.5}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`40fMWI000e0?ooo`03@000003oool0oooo 00T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo06L0oooo00E00000 0?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000d03oool01D000000oooo 0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo 06T0oooo00=000000?ooo`3oool02@3oool01D000000oooo0?ooo`3ooom0000004d0oooo0@3IfMT0 02`0oooo1D0000040?ooo`03@000003oool0oooo00d0oooo00=000000?ooo`3oool0GP3oool5@000 00D0oooo00=000000?ooo`3oool0H03oool5@0000080oooo00E000000?ooo`3oool0oooo@000000= 0?ooo`03@000003oool0oooo00?ooo`@000002P3oool400000140 oooo1P00003o0?oooad0oooo0`0000000d000000oooo0?ooo`3o0?oooe/0oooo00<000000?ooo`3o ool0CP3oool10=WIf@00DP3oool3000000/0oooo1000000C0?ooo`D00000o`3ooolH0?ooo`030000 003oool0oooo0?l0ooooG@3oool00`000000oooo0?ooo`1?0?ooo`40fMWI001E0?ooo`@000002`3o ool4000001@0oooo1@00003o0?oooa<0oooo00<000000?ooo`3oool0o`3ooomL0?ooo`030000003o ool0oooo0500oooo0@3IfMT005T0oooo0`00000<0?ooo`D00000503oool600000?l0oooo3@3oool0 0`000000oooo0?ooo`3o0?oooe/0oooo00<000000?ooo`3oool0D@3oool10=WIf@00G03oool40000 00d0oooo1@00000E0?ooo`P00000o`3oool50?ooo`030000003oool0oooo0?l0ooooFP3oool00`00 0000oooo0?ooo`1B0?ooo`40fMWI001P0?ooo`<000003`3oool4000001T0oooo1`00003m0?ooo`03 0000003oool0oooo0?l0ooooF@3oool00`000000oooo0?ooo`1C0?ooo`40fMWI001S0?ooo`@00000 3`3oool4000001`0oooo1@00003h0?ooo`030000003oool0oooo0?l0ooooF03oool00`000000oooo 0?ooo`1D0?ooo`40fMWI001W0?ooo`<00000403oool4000001d0oooo1@00003c0?ooo`030000003o ool0oooo0?l0ooooE`3oool00`000000oooo0?ooo`1E0?ooo`40fMWI001Z0?ooo`@00000403oool4 000001h0oooo1@00003^0?ooo`030000003oool0oooo0?l0ooooEP3oool00`000000oooo0?ooo`1F 0?ooo`40fMWI001^0?ooo`<000004@3oool300000200oooo1@00003Y0?ooo`030000003oool0oooo 0?l0ooooE@3oool00`000000oooo0?ooo`1G0?ooo`40fMWI001a0?ooo`<000004@3oool400000240 oooo1@00003T0?ooo`030000003oool0oooo0?l0ooooE03oool00`000000oooo0?ooo`1H0?ooo`40 fMWI001d0?ooo`8000004`3oool400000280oooo1P00003N0?ooo`030000003oool0oooo0?l0oooo D`3oool00`000000oooo0?ooo`1I0?ooo`40fMWI001f0?ooo`<00000503oool4000002@0oooo2000 003F0?ooo`<0000000=000000?ooo`3oool0o`3ooom?0?ooo`030000003oool0oooo05X0oooo0@3I fMT007T0oooo0`00000E0?ooo`D000009`3oool600000=00oooo00<000000?ooo`3oool0o`3ooomA 0?ooo`030000003oool0oooo05/0oooo0@3IfMT007`0oooo0`00000G0?ooo`D00000:03oool50000 00?ooo`030000003oool0oooo05h0oooo0@3IfMT008D0oooo0`00 000L0?ooo`@00000:P3oool500000;`0oooo00<000000?ooo`3oool0o`3ooom=0?ooo`030000003o ool0oooo05l0oooo0@3IfMT008P0oooo0`00000M0?ooo`@00000:`3oool500000;L0oooo00<00000 0?ooo`3oool0o`3ooom<0?ooo`030000003oool0oooo0600oooo0@3IfMT008/0oooo0`00000N0?oo o`@00000;03oool500000;80oooo00<000000?ooo`3oool0o`3ooom;0?ooo`030000003oool0oooo 0640oooo0@3IfMT008h0oooo0`00000O0?ooo`<00000;P3oool500000:d0oooo00<000000?ooo`3o ool0o`3ooom:0?ooo`030000003oool0oooo0680oooo0@3IfMT00940oooo0P00000P0?ooo`@00000 ;`3oool500000:P0oooo00<000000?ooo`3oool0o`3ooom90?ooo`030000003oool0oooo06<0oooo 0@3IfMT009<0oooo0`00000Q0?ooo`@00000<03oool500000:<0oooo00<000000?ooo`3oool0o`3o oom80?ooo`030000003oool0oooo06@0oooo0@3IfMT009H0oooo0`00000R0?ooo`@00000<@3oool5 000009h0oooo00<000000?ooo`3oool0o`3ooom70?ooo`030000003oool0oooo06D0oooo0@3IfMT0 09T0oooo0`00000S0?ooo`<00000<`3oool5000009T0oooo0`0000000d000000oooo0?ooo`3o0?oo od<0oooo00<000000?ooo`3oool0IP3oool10=WIf@00W03oool3000002<0oooo0`00000e0?ooo`D0 0000U03oool00`000000oooo0?ooo`3o0?ooodD0oooo00<000000?ooo`3oool0I`3oool10=WIf@00 W`3oool2000002@0oooo0`00000g0?ooo`D00000S`3oool00`000000oooo0?ooo`3o0?oood@0oooo 00<000000?ooo`3oool0J03oool10=WIf@00X@3oool3000002@0oooo0`00000i0?ooo`D00000RP3o ool00`000000oooo0?ooo`3o0?oood<0oooo00<000000?ooo`3oool0J@3oool10=WIf@00Y03oool3 000002@0oooo0`00000k0?ooo`D00000Q@3oool00`000000oooo0?ooo`3o0?oood80oooo00<00000 0?ooo`3oool0JP3oool10=WIf@00Y`3oool3000002@0oooo0`00000m0?ooo`D00000P03oool00`00 0000oooo0?ooo`3o0?oood40oooo00<000000?ooo`3oool0J`3oool10=WIf@00ZP3oool2000002D0 oooo1000000n0?ooo`D00000N`3oool00`000000oooo0?ooo`3o0?oood00oooo00<000000?ooo`3o ool0K03oool10=WIf@00[03oool2000002L0oooo1000000o0?ooo`D00000MP3oool00`000000oooo 0?ooo`3o0?ooocl0oooo00<000000?ooo`3oool0K@3oool10=WIf@00[P3oool3000002P0oooo1000 00100?ooo`D00000L@3oool00`000000oooo0?ooo`3o0?oooch0oooo00<000000?ooo`3oool0KP3o ool10=WIf@00/@3oool2000002X0oooo0`0000120?ooo`D00000C`3oool3@00000@0oooo0T000004 0?ooo`E000002`3oool00`000000oooo0?ooo`3o0?ooocd0oooo00<000000?ooo`3oool0K`3oool1 0=WIf@00/`3oool2000002/0oooo0`0000140?ooo`@00000BP3oool01D000000oooo0?ooo`3ooom0 000000T0oooo00=000000?ooo`3oool03@3oool00`000000oooo0?ooo`3o0?oooc`0oooo00<00000 0?ooo`3oool0L03oool10=WIf@00]@3oool3000002/0oooo0`0000150?ooo`@00000AP3oool01D00 0000oooo0?ooo`3ooom0000000X0oooo00=000000?ooo`3oool0303oool500000003@000003oool0 oooo0?l0oooo=P3oool00`000000oooo0?ooo`1a0?ooo`40fMWI002h0?ooo`800000;03oool30000 04H0oooo100000120?ooo`05@000003oool0oooo0?oood0000002`3oool00d000000oooo0?ooo`0; 0?ooo`030000003oool0oooo0?l0oooo>P3oool00`000000oooo0?ooo`1b0?ooo`40fMWI002j0?oo o`<00000;03oool3000004L0oooo1000000n0?ooo`05@000003oool0oooo0?oood000000303oool0 0d000000oooo0?ooo`0:0?ooo`030000003oool0oooo0?l0oooo>@3oool00`000000oooo0?ooo`1c 0?ooo`40fMWI002m0?ooo`800000;@3oool3000004P0oooo1@00000i0?ooo`05@000003oool0oooo 0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000/0oooo00<000000?ooo`3oool0o`3o oolh0?ooo`030000003oool0oooo07@0oooo0@3IfMT00;l0oooo0`00000]0?ooo`<00000BP3oool4 000003H0oooo0d00000;0?ooo`=00000303oool00`000000oooo0?ooo`3o0?ooocL0oooo00<00000 0?ooo`3oool0M@3oool10=WIf@00`P3oool2000002h0oooo0`00001;0?ooo`D00000CP3oool00`00 0000oooo0?ooo`3o0?ooocH0oooo00<000000?ooo`3oool0MP3oool10=WIf@00a03oool3000002h0 oooo0`00001=0?ooo`@00000BP3oool00`000000oooo0?ooo`3o0?ooocD0oooo00<000000?ooo`3o ool0M`3oool10=WIf@00a`3oool2000002l0oooo0`00001>0?ooo`@00000AP3oool00`000000oooo 0?ooo`3o0?oooc@0oooo00<000000?ooo`3oool0N03oool10=WIf@00b@3oool200000300oooo0`00 001?0?ooo`@00000@P3oool00`000000oooo0?ooo`3o0?oooc<0oooo00<000000?ooo`3oool0N@3o ool10=WIf@00b`3oool200000340oooo0`00001@0?ooo`@00000?P3oool00`000000oooo0?ooo`3o 0?oooc80oooo00<000000?ooo`3oool0NP3oool10=WIf@00c@3oool200000380oooo0`00001A0?oo o`@00000>P3oool00`000000oooo0?ooo`3o0?oooc40oooo00<000000?ooo`3oool0N`3oool10=WI f@00c`3oool2000003<0oooo0`00001B0?ooo`@00000=P3oool00`000000oooo0?ooo`3o0?oooc00 oooo00<000000?ooo`3oool0O03oool10=WIf@00d@3oool2000003@0oooo0`00001C0?ooo`@00000 03oool2000005/0oooo0`00000L0?ooo`030000003o ool0oooo0?l0oooo:@3oool00`000000oooo0?ooo`230?ooo`40fMWI003O0?ooo`800000>03oool3 000005/0oooo0`00000I0?ooo`030000003oool0oooo04/0oooo0d0000030?ooo`=00000d`3oool0 0`000000oooo0?ooo`240?ooo`40fMWI003Q0?ooo`800000>@3oool2000005`0oooo0`00000F0?oo o`030000003oool0oooo04d0oooo00=000000?ooo`3oool00P3oool00d000000oooo0?ooo`3A0?oo o`030000003oool0oooo08D0oooo0@3IfMT00><0oooo0P00000i0?ooo`<00000G03oool400000180 oooo00<000000?ooo`3oool0A03oool5@00000@0oooo00=000000?ooo`3oool00P3oool014000000 oooo@000040000040?ooo`A000002`3oool5@0000;L0oooo00<000000?ooo`3oool0QP3oool10=WI f@00i@3oool2000003X0oooo0P00001N0?ooo`<000003`3oool00`000000oooo0?ooo`160?ooo`03 @000003oool0oooo00@0oooo0T0000030?ooo`9000000P3oool014000000oooo0?oood0000040?oo o`03@000003oool0oooo00X0oooo00=000000?ooo`3oool0]P3oool00`000000oooo0?ooo`270?oo o`40fMWI003W0?ooo`030000003oool0oooo03T0oooo0`00001N0?ooo`<00000303oool300000003 @000003oool0oooo04<0oooo00=000000?ooo`3oool0103oool00d000000oooo@00000020?ooo`03 @000003oool0oooo0080oooo00=000000?oood0000004@3oool00d000000oooo0?ooo`2e0?ooo`03 0000003oool0oooo08P0oooo0@3IfMT00>P0oooo0P00000l0?ooo`800000G`3oool4000000P0oooo 00<000000?ooo`3oool0AP3oool00d000000oooo0?ooo`030?ooo`04@000003oool0oooo@00000<0 oooo00I000000?ooo`3oool0oooo@000003oool6@00000d0oooo00=000000?ooo`3oool0/`3oool0 0`000000oooo0?ooo`290?ooo`40fMWI003Z0?ooo`800000?03oool300000600oooo0`0000050?oo o`030000003oool0oooo04L0oooo00=000000?ooo`3oool00P3oool01D000000oooo0?ooo`3ooom0 00000080oooo0T0000020?ooo`04@000003oool0oooo@00000<0oooo00=000000?ooo`3oool02`3o ool00d000000oooo0?ooo`2b0?ooo`030000003oool0oooo08X0oooo0@3IfMT00>`0oooo0P00000m 0?ooo`800000H@3oool4000000030?ooo`000000oooo04P0oooo00A000000?ooo`3oool0oooo0d00 00000`3ooom00000@0000003@00000030?oood000010000000@0oooo0d00000>0?ooo`03@000003o ool0oooo0;40oooo00<000000?ooo`3oool0R`3oool10=WIf@00kP3oool00`000000oooo0?ooo`0l 0?ooo`<00000HP3oool3000004D0oooo00A000000?ooo`3ooom000000P3oool00d000000oooo0?oo o`0O0?ooo`03@000003oool0oooo0;00oooo00<000000?ooo`3oool0S03oool10=WIf@00k`3oool2 000003l0oooo0`00001P0?ooo`030000003oool0000000<00000@@3oool7@00001l0oooo1D00002_ 0?ooo`030000003oool0oooo08d0oooo0@3IfMT00?40oooo0P0000100?ooo`800000GP3oool00`00 0000oooo0?ooo`030?ooo`@00000o`3ooolG0?ooo`030000003oool0oooo08h0oooo0@3IfMT00?<0 oooo0P0000100?ooo`<00000F`3oool00`000000oooo0?ooo`070?ooo`<00000o`3ooolC0?ooo`03 0000003oool0oooo08l0oooo0@3IfMT00?D0oooo0P0000110?ooo`800000F@3oool00`000000oooo 0?ooo`0:0?ooo`@00000o`3oool>0?ooo`030000003oool0oooo0900oooo0@3IfMT00?L0oooo0P00 00110?ooo`800000E`3oool00`000000oooo0?ooo`0>0?ooo`@00000o`3oool90?ooo`030000003o ool0oooo0940oooo0@3IfMT00?T0oooo0P0000110?ooo`800000E@3oool00`000000oooo0?ooo`0B 0?ooo`@00000o`3oool40?ooo`030000003oool0oooo0980oooo0@3IfMT00?/0oooo0P0000110?oo o`800000D`3oool00`000000oooo0?ooo`0F0?ooo`@00000oP3oool00`000000oooo0?ooo`2C0?oo o`40fMWI003m0?ooo`030000003oool0oooo0400oooo0P00001A0?ooo`<0000000=000000?ooo`3o ool05`3oool400000?T0oooo00<000000?ooo`3oool0U03oool10=WIf@00oP3oool200000480oooo 0P00001?0?ooo`030000003oool0oooo01h0oooo1000003d0?ooo`030000003oool0oooo09D0oooo 0@3IfMT00?l0oooo0@3oool00`000000oooo0?ooo`110?ooo`800000C@3oool00`000000oooo0?oo o`0R0?ooo`H00000k@3oool00`000000oooo0?ooo`2F0?ooo`40fMWI003o0?ooo`80oooo00<00000 0?ooo`3oool0@P3oool2000004/0oooo00<000000?ooo`3oool0:03oool500000>L0oooo00<00000 0?ooo`3oool0U`3oool10=WIf@00o`3oool30?ooo`800000A03oool2000004T0oooo00<000000?oo o`3oool0;@3oool600000>00oooo00<000000?ooo`3oool0V03oool10=WIf@00o`3oool50?ooo`03 0000003oool0oooo04<0oooo0P0000170?ooo`030000003oool0oooo03<0oooo1@00003J0?ooo`03 0000003oool0oooo09T0oooo0@3IfMT00?l0oooo1P3oool2000004D0oooo0P0000150?ooo`030000 003oool0oooo03P0oooo1P00003C0?ooo`030000003oool0oooo09X0oooo0@3IfMT00?l0oooo203o ool00`000000oooo0?ooo`140?ooo`800000@`3oool00`000000oooo0?ooo`0n0?ooo`P00000bP3o ool00`000000oooo0?ooo`2K0?ooo`40fMWI003o0?ooo`T0oooo00<000000?ooo`3oool0A@3oool2 00000440oooo00<000000?ooo`3oool0AP3oool<00000;d0oooo00<000000?ooo`3oool0W03oool1 0=WIf@00o`3oool:0?ooo`800000A`3oool200000280oooo0d0000040?ooo`9000001P3oool3@000 00/0oooo00<000000?ooo`3oool0DP3oool;00000;40oooo00<000000?ooo`3oool0W@3oool10=WI f@00o`3oool<0?ooo`030000003oool0oooo04H0oooo0P00000O0?ooo`05@000003oool0oooo0?oo od000000303oool00d000000oooo0?ooo`0:0?ooo`030000003oool0oooo05d0oooo2`00002U0?oo o`030000003oool0oooo09h0oooo0@3IfMT00?l0oooo3@3oool2000004P0oooo0P00000M0?ooo`05 @000003oool0oooo0?oood0000002@3oool5@00000/0oooo1@0000000d000000oooo0?ooo`1S0?oo o`/00000V@3oool00`000000oooo0?ooo`2O0?ooo`40fMWI003o0?ooo`l0oooo00<000000?ooo`3o ool0A`3oool2000001/0oooo00E000000?ooo`3oool0oooo@00000090?ooo`04@000003oool0oooo @00000`0oooo00<000000?ooo`3oool0L`3ooolQ000007L0oooo00<000000?ooo`3oool0X03oool1 0=WIf@00o`3oool@0?ooo`030000003oool0oooo04P0oooo0P00000I0?ooo`05@000003oool0oooo 0?oood0000002P3oool00d000000oooo@000000<0?ooo`030000003oool0oooo09@0ooooM`00002S 0?ooo`40fMWI003o0?oooa40oooo0P00001:0?ooo`030000003oool0oooo01H0oooo00E000000?oo o`3oool0oooo@000000;0?ooo`900000303oool00`000000oooo0?ooo`3o0?ooo`X0oooo00<00000 0?ooo`3oool0XP3oool10=WIf@00o`3ooolC0?ooo`030000003oool0oooo04P0oooo0P00000G0?oo o`=000003@3oool00d000000oooo0?ooo`0:0?ooo`030000003oool0oooo0?l0oooo2@3oool00`00 0000oooo0?ooo`2S0?ooo`40fMWI003o0?oooa@0oooo0P00001:0?ooo`800000h0oooo00<000000?ooo`3oool0_@3oool10=WIf@00o`3ooola0?ooo`030000 003oool0oooo05<0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`3]0?ooo`030000 003oool0oooo0;h0oooo0@3IfMT00?l0oooo/0oooo00<000000?ooo`3oool0`03oool10=WIf@00o`3ooold0?ooo`030000003oool0oooo 05<0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`3Z0?ooo`030000003oool0oooo 0<40oooo0@3IfMT00?l0oooo=@3oool00`000000oooo0?ooo`1C0?ooo`030000003oool0oooo00H0 oooo0`0000000d000000oooo0?ooo`3V0?ooo`030000003oool0oooo0<80oooo0@3IfMT00?l0oooo =P3oool00`000000oooo0?ooo`1C0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0 j03oool00`000000oooo0?ooo`330?ooo`40fMWI003o0?ooocL0oooo00<000000?ooo`3oool0D`3o ool2000000D0oooo00<000000?ooo`3oool0i`3oool00`000000oooo0?ooo`340?ooo`40fMWI003o 0?ooocP0oooo00<000000?ooo`3oool0E03oool00`000000oooo0?ooo`020?ooo`030000003oool0 oooo0>H0oooo00<000000?ooo`3oool0a@3oool10=WIf@00o`3ooolh0?ooo`030000003oool0oooo 05D0oooo00D000000?ooo`3oool0oooo0000003W0?ooo`030000003oool0oooo0@3oool00`000000oooo0?ooo`1E0?ooo`040000003oool0oooo00000>H0oooo00<00000 0?ooo`3oool0a`3oool10=WIf@00o`3ooolj0?ooo`030000003oool0oooo05D0oooo00<000000?oo o`000000i@3oool00`000000oooo0?ooo`380?ooo`40fMWI003o0?oooc/0oooo00<000000?ooo`3o ool0E@3oool200000>@0oooo00<000000?ooo`3oool0b@3oool10=WIf@00o`3ooolk0?ooo`030000 003oool0oooo05H0oooo00<000000?ooo`3oool0h@3oool00`000000oooo0?ooo`3:0?ooo`40fMWI 003o0?oooc`0oooo00<000000?ooo`3oool0E@3oool00`2c/k<000000?ooo`3P0?ooo`030000003o ool0oooo0c00<000000?ooo`3oool0g@3oool00`000000oooo0?ooo`3< 0?ooo`40fMWI003o0?oooch0oooo00<000000?ooo`3oool0=@3oool01D000000oooo0?ooo`3ooom0 000000T0oooo00E000000?ooo`3oool0oooo@000000;0?ooo`<0/k>c0P0000000d000000oooo0?oo o`3I0?ooo`030000003oool0oooo0c00<000000?ooo`3oool0e@3oool00`000000oooo0?ooo`3@0?ooo`40fMWI 003o0?oood00oooo00<000000?ooo`3oool0<`3oool01D000000oooo0?ooo`3ooom0000000X0oooo 00=000000?ooo`3oool0303oool70;>c/`030000003oool0oooo0=<0oooo00<000000?ooo`3oool0 d@3oool10=WIf@00o`3ooom10?ooo`030000003oool0oooo03<0oooo0d00000<0?ooo`=000002`3o ool80;>c/`030000003oool0oooo0=40oooo00<000000?ooo`3oool0dP3oool10=WIf@00o`3ooom2 0?ooo`030000003oool0oooo04l0oooo2@2c/k<00`000000oooo0?ooo`3?0?ooo`030000003oool0 oooo0=<0oooo0@3IfMT00?l0oooo@P3oool00`000000oooo0?ooo`1?0?ooo`X0/k>c00<000000?oo o`3oool0c@3oool00`000000oooo0?ooo`3D0?ooo`40fMWI003o0?oood<0oooo00<000000?ooo`3o ool0CP3oool;0;>c/`030000003oool0oooo0c00<0 00000?ooo`3oool0a`3oool00`000000oooo0?ooo`3G0?ooo`40fMWI003o0?ooodD0oooo00<00000 0?ooo`3oool0C03oool>0;>c/`030000003oool0oooo0c00<000000?ooo`3oool0`@3oool00`000000oooo0?ooo`3J0?ooo`40fMWI003o0?ooodL0oooo 00<000000?ooo`3oool0BP3ooolA0;>c/`030000003oool0oooo0;l0oooo00<000000?ooo`3oool0 f`3oool10=WIf@00o`3ooom70?ooo`030000003oool0oooo04X0oooo4P2c/k<00`000000oooo0?oo o`2m0?ooo`030000003oool0oooo0=`0oooo0@3IfMT00?l0ooooB03oool00`000000oooo0?ooo`19 0?oooa<0/k>c00<000000?ooo`3oool0^`3oool00`000000oooo0?ooo`3M0?ooo`40fMWI003o0?oo odP0oooo00<000000?ooo`3oool0B@3ooolD0;>c/`030000003oool0oooo0;T0oooo00<000000?oo o`3oool0gP3oool10=WIf@00o`3ooom90?ooo`030000003oool0oooo04P0oooo5@2c/k<00`000000 oooo0?ooo`2g0?ooo`030000003oool0oooo0=l0oooo0@3IfMT00?L0oooo0d0000030?ooo`=00000 B03oool00`000000oooo0?ooo`180?oooaH0/k>c00<000000?ooo`3oool0]@3oool00`000000oooo 0?ooo`3P0?ooo`40fMWI003i0?ooo`03@000003oool0oooo0080oooo00=000000?ooo`3oool0B03o ool00`000000oooo0?ooo`170?oooaL0/k>c00<000000?ooo`3oool0/`3oool00`000000oooo0?oo o`3Q0?ooo`40fMWI003`0?ooo`E00000103oool00d000000oooo0?ooo`020?ooo`04@000003ooom0 0000@00000@0oooo1400000:0?ooo`E000000P3oool5@00002T0oooo00<000000?ooo`3oool0A`3o oolH0;>c/`030000003oool0oooo0;40oooo00<000000?ooo`3oool0hP3oool10=WIf@00lP3oool0 0d000000oooo0?ooo`040?ooo`9000000`3oool2@0000080oooo00A000000?ooo`3ooom00000103o ool00d000000oooo0?ooo`090?ooo`03@000003oool0oooo00@0oooo00=000000?ooo`3oool0:P3o ool00`000000oooo0?ooo`160?oooaT0/k>c00<000000?ooo`3oool0[`3oool00`000000oooo0?oo o`3S0?ooo`40fMWI003b0?ooo`03@000003oool0oooo00@0oooo00=000000?oood0000000P3oool0 0d000000oooo0?ooo`020?ooo`03@000003ooom000000100oooo00=000000?ooo`3oool0103oool0 0d000000oooo0?ooo`0Z0?ooo`030000003oool0oooo04H0oooo6P2c/k<00`000000oooo0?ooo`2] 0?ooo`030000003oool0oooo0>@0oooo0@3IfMT00?80oooo00=000000?ooo`3oool00`3oool01400 0000oooo0?oood0000030?ooo`06@000003oool0oooo0?oood000000oooo1T00000<0?ooo`03@000 003oool0oooo00@0oooo00=000000?ooo`3oool0:P3oool00`000000oooo0?ooo`150?oooa/0/k>c 00<000000?ooo`3oool0Z`3oool00`000000oooo0?ooo`3U0?ooo`40fMWI003c0?ooo`03@000003o ool0oooo0080oooo00E000000?ooo`3oool0oooo@00000020?ooo`9000000P3oool014000000oooo 0?oood0000030?ooo`03@000003oool0oooo00X0oooo00=000000?ooo`3oool0103oool00d000000 oooo0?ooo`0Z0?ooo`030000003oool0oooo04D0oooo702c/k<00`000000oooo0?ooo`2Y0?ooo`03 0000003oool0oooo0>H0oooo0@3IfMT00?<0oooo00A000000?ooo`3oool0oooo0d0000000`3ooom0 0000@0000003@00000030?oood000010000000@0oooo0d00000=0?ooo`03@000003oool0oooo00@0 oooo00=000000?ooo`3oool0:`3oool00`000000oooo0?ooo`140?oooad0/k>c00<000000?ooo`3o ool0Y`3oool00`000000oooo0?ooo`3W0?ooo`40fMWI003`0?ooo`04@000003oool0oooo@0000080 oooo00=000000?ooo`3oool07P3oool00d000000oooo0?ooo`040?ooo`03@000003oool0oooo02/0 oooo00<000000?ooo`3oool0A03ooolN0;>c/`030000003oool0oooo0:D0oooo00<000000?ooo`3o ool0j03oool10=WIf@00l03oool7@00001h0oooo1D0000020?ooo`E00000;03oool00`000000oooo 0?ooo`130?oooal0/k>c0P00002T0?ooo`030000003oool0oooo0>T0oooo0@3IfMT00?l0ooooCP3o ool00`000000oooo0?ooo`130?ooob00/k>c00<0oooo0000003oool0X@3oool00`000000oooo0?oo o`3Z0?ooo`40fMWI003o0?ooodl0oooo00<000000?ooo`3oool0@P3ooolQ0;>c/`030?ooo`000000 oooo09l0oooo00<000000?ooo`3oool0j`3oool10=WIf@00o`3ooom?0?ooo`030000003oool0oooo 0480oooo8P2c/k<00`3oool000000?ooo`2M0?ooo`030000003oool0oooo0>`0oooo0@3IfMT00?l0 ooooD03oool00`000000oooo0?ooo`110?ooob<0/k>c00<0oooo0000003oool0V`3oool00`000000 oooo0?ooo`3]0?ooo`40fMWI003o0?oooe00oooo00<000000?ooo`3oool0@@3ooolT0;>c/`030000 003oool0oooo09T0oooo00<000000?ooo`3oool0kP3oool10=WIf@00o`3ooom@0?ooo`030000003o ool0oooo0440oooo9@2c/k<00`000000oooo0?ooo`2G0?ooo`030000003oool0oooo0>l0oooo0@3I fMT00?l0ooooD@3oool00`000000oooo0?ooo`100?ooobH0/k>c00<000000?ooo`3oool0U@3oool0 0`000000oooo0?ooo`3`0?ooo`40fMWI003o0?oooe40oooo00<000000?ooo`3oool0@03ooolW0;>c /`030000003oool0oooo09<0oooo00<000000?ooo`3oool0l@3oool10=WIf@00o`3ooomA0?ooo`03 0000003oool0oooo0400oooo:02c/k<00`000000oooo0?ooo`2A0?ooo`030000003oool0oooo0?80 oooo0@3IfMT00?l0ooooDP3oool00`000000oooo0?ooo`0o0?ooobT0/k>c00<000000?ooo`3oool0 S`3oool00`000000oooo0?ooo`0d0?ooo`E00000^P3oool10=WIf@00o`3ooomB0?ooo`030000003o ool0oooo03l0oooo:P2c/k<00`000000oooo0?ooo`2=0?ooo`030000003oool0oooo03D0oooo00=0 00000?ooo`3oool0_03oool10=WIf@00o`3ooomB0?ooo`030000003oool0oooo03l0oooo:`2c/k<0 0`000000oooo0?ooo`2;0?ooo`030000003oool0oooo03L0oooo00=000000?ooo`3oool0^`3oool1 0=WIf@00o`3ooomC0?ooo`030000003oool0oooo03h0oooo;02c/k<00`000000oooo0?ooo`290?oo o`030000003oool0oooo03T0oooo00=000000?ooo`3oool0^P3oool10=WIf@00o`3ooomC0?ooo`03 0000003oool0oooo03h0oooo;@2c/k<00`000000oooo0?ooo`270?ooo`030000003oool0oooo03/0 oooo00=000000?ooo`3oool0^@3oool10=WIf@00o`3ooomC0?ooo`030000003oool0oooo03h0oooo ;P2c/k<00`000000oooo0?ooo`250?ooo`030000003oool0oooo03T0oooo00E000000?ooo`3oool0 oooo@000002j0?ooo`40fMWI003o0?oooe@0oooo00<000000?ooo`3oool0?@3oool_0;>c/`030000 003oool0oooo08<0oooo00<000000?ooo`3oool0>`3oool3@0000;/0oooo0@3IfMT00?l0ooooE03o ool00`000000oooo0?ooo`0P0?ooo`=00000103oool2@00000D0oooo0d00000<0?oooc00/k>c00<0 00000?ooo`3oool0P@3oool00`000000oooo0?ooo`0N0?ooo`90000000<0oooo@000040000000P3o ool00d000000oooo0?ooo`030?ooo`900000c@3oool10=WIf@00o`3ooomD0?ooo`030000003oool0 oooo01l0oooo00E000000?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000 2`3ooola0;>c/`030000003oool0oooo07l0oooo00<000000?ooo`3oool07P3oool00d000000oooo 0?ooo`02@00000<0oooo00=000000?ooo`3oool00`3oool00d000000oooo@00000030?ooo`E00000 a03oool10=WIf@00o`3ooomD0?ooo`030000003oool0oooo01l0oooo00E000000?ooo`3oool0oooo @00000090?ooo`05@000003oool0oooo0?oood0000002`3ooolb0;>c/`030000003oool0oooo07d0 oooo00<000000?ooo`3oool07`3oool01T000000oooo0?ooo`3ooom000000?ooo`E000000P3oool0 14000000oooo0?oood00000;0?ooo`Y00000]`3oool10=WIf@00o`3ooomE0?ooo`030000003oool0 oooo01h0oooo00E000000?ooo`3oool0oooo@000000:0?ooo`=00000303ooolc0;>c/`030000003o ool0oooo07/0oooo00<000000?ooo`3oool0803oool01D000000oooo0?ooo`3ooom0000000<0oooo 00=000000?ooo`3oool00P3oool01D000000oooo0?ooo`3ooom000000080oooo1D0000340?ooo`40 fMWI003o0?oooeD0oooo00<000000?ooo`3oool07P3oool01D000000oooo0?ooo`3ooom0000000T0 oooo00E000000?ooo`3oool0oooo@000000;0?oooc@0/k>c00<000000?ooo`3oool0N@3oool00`00 0000oooo0?ooo`0P0?ooo`9000000P3oool2@00000<0oooo00A000000?ooo`3oool0oooo0d000000 103ooom00000@0000400003:0?ooo`40fMWI003o0?oooeD0oooo00<000000?ooo`3oool07P3oool0 1D000000oooo0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000000;0?ooocD0/k>c 00<000000?ooo`3oool0M`3oool00`000000oooo0?ooo`3o0?ooo`40fMWI003o0?oooeD0oooo00<0 00000?ooo`3oool07`3oool3@00000/0oooo0d00000<0?ooocH0/k>c00<000000?ooo`3oool0M@3o ool00`000000oooo0?ooo`3o0?ooo`40oooo0@3IfMT00?l0ooooEP3oool00`000000oooo0?ooo`0k 0?ooocL0/k>c00<000000?ooo`3oool0L`3oool00`000000oooo0?ooo`110?ooo`03@000003oool0 oooo0080oooo00=000000?ooo`3oool0^03oool10=WIf@00o`3ooomF0?ooo`030000003oool0oooo 03/0oooo>02c/k<00`000000oooo0?ooo`1a0?ooo`030000003oool0oooo04<0oooo00A000000?oo o`3ooom00000^`3oool10=WIf@00o`3ooomF0?ooo`030000003oool0oooo03/0oooo>@2c/k<00`00 0000oooo0?ooo`1_0?ooo`030000003oool0oooo04D0oooo00=000000?oood000000^`3oool10=WI f@00o`3ooomG0?ooo`030000003oool0oooo03X0oooo>P2c/k<00`000000oooo0?ooo`1]0?ooo`03 0000003oool0oooo04H0oooo00=000000?oood000000^`3oool10=WIf@00o`3ooomG0?ooo`030000 003oool0oooo03X0oooo>`2c/k<00`000000oooo0?ooo`1[0?ooo`030000003oool0oooo04D0oooo 1d00002i0?ooo`40fMWI003o0?oooeL0oooo00<000000?ooo`3oool0>P3oooll0;>c/`030000003o ool0oooo06T0oooo00<000000?ooo`3oool0o`3oool70?ooo`40fMWI003o0?oooeL0oooo00<00000 0?ooo`3oool0>P3ooolm0;>c/`030000003oool0oooo06L0oooo00<000000?ooo`3oool0o`3oool8 0?ooo`40fMWI003o0?oooeP0oooo00<000000?ooo`3oool0>@3oooln0;>c/`030000003oool0oooo 06D0oooo00<000000?ooo`3oool0o`3oool90?ooo`40fMWI003o0?oooeP0oooo00<000000?ooo`3o ool0>@3ooolo0;>c/`030000003oool0oooo06<0oooo00<000000?ooo`3oool0o`3oool:0?ooo`40 fMWI003o0?oooeP0oooo00<000000?ooo`3oool0>@3ooom00;>c/`030000003oool0oooo0640oooo 00<000000?ooo`3oool0o`3oool;0?ooo`40fMWI003o0?oooeP0oooo00<000000?ooo`3oool0>@3o oom10;>c/`030000003oool0oooo05l0oooo00<000000?ooo`3oool0o`3oool<0?ooo`40fMWI003o 0?oooeT0oooo00<000000?ooo`3oool0>03ooom20;>c/`030000003oool0oooo05d0oooo00<00000 0?ooo`3oool0o`3oool=0?ooo`40fMWI003o0?oooeT0oooo00<000000?ooo`3oool0>03ooom30;>c /`030000003oool0oooo05/0oooo00<000000?ooo`3oool0o`3oool>0?ooo`40fMWI003o0?oooeT0 oooo00<000000?ooo`3oool0>03ooom40;>c/`030000003oool0oooo05T0oooo00<000000?ooo`3o ool0o`3oool?0?ooo`40fMWI003o0?oooeT0oooo00<000000?ooo`3oool0>03ooom50;>c/`800000 F03oool00`000000oooo0?ooo`3o0?oooa00oooo0@3IfMT00?l0ooooFP3oool00`000000oooo0?oo o`0g0?ooodL0/k>c00<000000?ooo`3oool0E03oool00`000000oooo0?ooo`3o0?oooa40oooo0@3I fMT00?l0ooooFP3oool00`000000oooo0?ooo`0g0?ooodP0/k>c00<000000?ooo`3oool0DP3oool0 0`000000oooo0?ooo`3o0?oooa80oooo0@3IfMT00?l0ooooFP3oool00`000000oooo0?ooo`0g0?oo odT0/k>c00<000000?ooo`3oool0D03oool00`000000oooo0?ooo`3o0?oooa<0oooo0@3IfMT00?l0 ooooFP3oool00`000000oooo0?ooo`0g0?ooodX0/k>c00<000000?ooo`3oool0CP3oool00`000000 oooo0?ooo`3o0?oooa@0oooo0@3IfMT00?l0ooooFP3oool00`000000oooo0?ooo`0g0?ooodX0/k>c 00<000000?ooo`3oool0C@3oool00`000000oooo0?ooo`3o0?oooaD0oooo0@3IfMT00?l0ooooF`3o ool00`000000oooo0?ooo`0f0?oood/0/k>c00<000000?ooo`3oool0B`3oool00`000000oooo0?oo o`3o0?oooaH0oooo0@3IfMT00?l0ooooF`3oool00`000000oooo0?ooo`0f0?oood`0/k>c00<00000 0?ooo`3oool0B@3oool00`000000oooo0?ooo`3o0?oooaL0oooo0@3IfMT00?l0ooooF`3oool00`00 0000oooo0?ooo`0f0?ooodd0/k>c00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`3o0?oo oaP0oooo0@3IfMT00?l0ooooF`3oool00`000000oooo0?ooo`0f0?ooodh0/k>c00<000000?ooo`3o ool0A@3oool00`000000oooo0?ooo`3o0?oooaT0oooo0@3IfMT00?l0ooooF`3oool00`000000oooo 0?ooo`0f0?ooodl0/k>c00<000000?ooo`3oool0@`3oool00`000000oooo0?ooo`3o0?oooaX0oooo 0@3IfMT00?l0ooooF`3oool00`000000oooo0?ooo`0f0?oooe00/k>c00<000000?ooo`3oool0@@3o ool00`000000oooo0?ooo`3o0?oooa/0oooo0@3IfMT00?l0ooooF`3oool00`000000oooo0?ooo`0f 0?oooe40/k>c00<000000?ooo`3oool0?`3oool00`000000oooo0?ooo`3o0?oooa`0oooo0@3IfMT0 0?l0ooooG03oool00`000000oooo0?ooo`0e0?oooe80/k>c00<000000?ooo`3oool0?@3oool00`00 0000oooo0?ooo`3o0?oooad0oooo0@3IfMT00?l0ooooG03oool00`000000oooo0?ooo`0e0?oooe<0 /k>c00<000000?ooo`3oool0>`3oool00`000000oooo0?ooo`3o0?oooah0oooo0@3IfMT00?l0oooo G03oool00`000000oooo0?ooo`0e0?oooe@0/k>c00<000000?ooo`3oool0>@3oool00`000000oooo 0?ooo`3o0?oooal0oooo0@3IfMT00?l0ooooG03oool00`000000oooo0?ooo`0e0?oooeD0/k>c00<0 00000?ooo`3oool0=`3oool00`000000oooo0?ooo`3o0?ooob00oooo0@3IfMT00?l0ooooG03oool0 0`000000oooo0?ooo`0e0?oooeH0/k>c00<000000?ooo`3oool0=@3oool00`000000oooo0?ooo`3o 0?ooob40oooo0@3IfMT00?l0ooooG03oool00`000000oooo0?ooo`0e0?oooeL0/k>c00<000000?oo o`3oool0<`3oool00`000000oooo0?ooo`3o0?ooob80oooo0@3IfMT00?l0ooooG03oool00`000000 oooo0?ooo`0e0?oooeP0/k>c00<000000?ooo`3oool0<@3oool00`000000oooo0?ooo`3o0?ooob<0 oooo0@3IfMT00?l0ooooG@3oool00`000000oooo0?ooo`0d0?oooeT0/k>c00<000000?ooo`3oool0 ;`3oool00`000000oooo0?ooo`3o0?ooob@0oooo0@3IfMT00?l0ooooG@3oool00`000000oooo0?oo o`0d0?oooeX0/k>c00<000000?ooo`3oool0;@3oool00`000000oooo0?ooo`3o0?ooobD0oooo0@3I fMT00?l0ooooG@3oool00`000000oooo0?ooo`0d0?oooe/0/k>c00<000000?ooo`3oool0:`3oool0 0`000000oooo0?ooo`3o0?ooobH0oooo0@3IfMT00?l0ooooG@3oool00`000000oooo0?ooo`0d0?oo oe`0/k>c00<000000?ooo`3oool0:@3oool00`000000oooo0?ooo`3o0?ooobL0oooo0@3IfMT00?l0 ooooG@3oool00`000000oooo0?ooo`0d0?oooed0/k>c00<000000?ooo`3oool09`3oool00`000000 oooo0?ooo`3o0?ooobP0oooo0@3IfMT00?l0ooooG@3oool00`000000oooo0?ooo`0S0?ooo`E00000 303ooomN0;>c/`030000003oool0oooo02D0oooo00<000000?ooo`3oool0o`3ooolY0?ooo`40fMWI 003o0?oooed0oooo00<000000?ooo`3oool09@3oool00d000000oooo0?ooo`0<0?oooel0/k>c00<0 00000?ooo`3oool08`3oool00`000000oooo0?ooo`3o0?ooobX0oooo0@3IfMT00?l0ooooG@3oool0 0`000000oooo0?ooo`0U0?ooo`03@000003oool0oooo00`0ooooH02c/k<00`000000oooo0?ooo`0Q 0?ooo`030000003oool0oooo0?l0oooo:`3oool10=WIf@00o`3ooomM0?ooo`030000003oool0oooo 02D0oooo00=000000?ooo`3oool0303ooomQ0;>c/`030000003oool0oooo01l0oooo00<000000?oo o`3oool0o`3oool/0?ooo`40fMWI003o0?oooed0oooo00<000000?ooo`3oool09@3oool00d000000 oooo0?ooo`0<0?ooof80/k>c00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`3o0?ooobd0 oooo0@3IfMT00?l0ooooG@3oool00`000000oooo0?ooo`0U0?ooo`03@000003oool0oooo00`0oooo H`2c/k<00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0?l0oooo;P3oool10=WIf@00o`3o oomN0?ooo`030000003oool0oooo02<0oooo0T00000>0?ooof@0/k>c00<000000?ooo`3oool06@3o ool00`000000oooo0?ooo`3o0?ooobl0oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c 0?ooofD0/k>c00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`3o0?oooc00oooo0@3IfMT0 0?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooofH0/k>c00<000000?ooo`3oool05@3oool00`00 0000oooo0?ooo`3o0?oooc40oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooofL0 /k>c00<000000?ooo`3oool04`3oool00`000000oooo0?ooo`3o0?oooc80oooo0@3IfMT00?l0oooo GP3oool00`000000oooo0?ooo`0c0?ooofP0/k>c00<000000?ooo`3oool04@3oool00`000000oooo 0?ooo`3o0?oooc<0oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooofT0/k>c00<0 00000?ooo`3oool03`3oool00`000000oooo0?ooo`3o0?oooc@0oooo0@3IfMT00?l0ooooGP3oool0 0`000000oooo0?ooo`0c0?ooofX0/k>c00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`3o 0?ooocD0oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooof/0/k>c00<000000?oo o`3oool02`3oool00`000000oooo0?ooo`3o0?ooocH0oooo0@3IfMT00?l0ooooGP3oool00`000000 oooo0?ooo`0c0?ooof`0/k>c00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`3o0?ooocL0 oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooofd0/k>c00<000000?ooo`3oool0 1`3oool00`000000oooo0?ooo`3o0?ooocP0oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?oo o`0c0?ooofh0/k>c00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`3o0?ooocT0oooo0@3I fMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?ooofl0/k>c00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`3o0?ooocX0oooo0@3IfMT00?l0ooooGP3oool00`000000oooo0?ooo`0c0?oo og00/k>c0P0000020?ooo`030000003oool0oooo0?l0oooo>`3oool10=WIf@00o`3ooomN0?ooo`03 0000003oool0oooo03<0ooooLP2c/k<00d00000000000?ooo`3o0?ooocd0oooo0@3IfMT00?l0oooo G`3oool00`000000oooo0?ooo`0b0?ooog40/k>c00<0oooo0000003oool0o`3oooln0?ooo`40fMWI 003o0?oooel0oooo00<000000?ooo`3oool0c/`030?ooo`000000oooo0?l0oooo?`3o ool10=WIf@00o`3ooomO0?ooo`030000003oool0oooo0380ooooK`2c/k<00`3oool000000?ooo`3o 0?oood00oooo0@3IfMT00?l0ooooG`3oool00`000000oooo0?ooo`0b0?ooofh0/k>c00<0oooo0000 003oool0o`3ooom10?ooo`40fMWI003o0?oooel0oooo00<000000?ooo`3oool0c/`03 0?ooo`000000oooo0?l0oooo@P3oool10=WIf@00o`3ooomO0?ooo`030000003oool0oooo0380oooo K02c/k<00`3oool000000?ooo`3o0?oood<0oooo0@3IfMT00?l0ooooG`3oool00`000000oooo0?oo o`0b0?ooof/0/k>c00<0oooo0000003oool0o`3ooom40?ooo`40fMWI003o0?oooel0oooo00<00000 0?ooo`3oool0c/`030?ooo`000000oooo0?l0ooooA@3oool10=WIf@00o`3ooomO0?oo o`030000003oool0oooo0380ooooJ@2c/k<00`3oool000000?ooo`3o0?ooodH0oooo0@3IfMT00?l0 ooooG`3oool00`000000oooo0?ooo`0b0?ooofP0/k>c00<0oooo0000003oool0o`3ooom70?ooo`40 fMWI003o0?oooel0oooo00<000000?ooo`3oool0c/`030?ooo`000000oooo0?l0oooo B03oool10=WIf@00o`3ooomO0?ooo`030000003oool0oooo0380ooooIP2c/k<00`3oool000000?oo o`3o0?ooodT0oooo0@3IfMT00?l0ooooG`3oool00`000000oooo0?ooo`0b0?ooofD0/k>c00<0oooo 0000003oool0o`3ooom:0?ooo`40fMWI003o0?oooel0oooo00<000000?ooo`3oool0c /`030?ooo`000000oooo0240oooo00=000000?ooo`3oool0o`3ooolW0?ooo`40fMWI003o0?oooel0 oooo00<000000?ooo`3oool0c/`030?ooo`000000oooo0280oooo0T00003o0?ooobP0 oooo0@3IfMT00?l0ooooG`3oool00`000000oooo0?ooo`0b0?ooof80/k>c00<0oooo0000003oool0 703oool3@00000070?oood000000oooo0?oood000000oooo@000003o0?ooobL0oooo0@3IfMT00?l0 ooooG`3oool00`000000oooo0?ooo`0b0?ooof40/k>c00<0oooo0000003oool07P3oool014000000 oooo0?oood00003o0?ooob`0oooo0@3IfMT00?l0ooooG`3oool00`000000oooo0?ooo`0b0?ooof00 /k>c00<0oooo0000003oool07`3oool00d000000oooo@000003o0?ooobd0oooo0@3IfMT00?l0oooo G`3oool00`000000oooo0?ooo`0b0?oooel0/k>c00<0oooo0000003oool08@3oool2@00000@0oooo 00I000000?ooo`3ooom000000?oood0000020?ooo`03@000003oool0oooo0?l0oooo7P3oool10=WI f@00o`3ooomO0?ooo`030000003oool0oooo0380ooooGP2c/k<00`3oool000000?ooo`0R0?ooo`03 @000003ooom0000000<0oooo00I000000?ooo`3ooom000000?oood0000020?ooo`900000o`3ooolO 0?ooo`40fMWI003o0?oooel0oooo00<000000?ooo`3oool0c/`030?ooo`000000oooo 0280oooo0T0000000`3ooom00000@00000020?ooo`9000000P3oool2@0000080oooo00=000000?oo od000000o`3ooolN0?ooo`40fMWI003o0?oooel0oooo00<000000?ooo`3oool0c/`03 0?ooo`000000oooo02h0oooo00=000000?ooo`3oool0o`3ooolR0?ooo`40fMWI003o0?oooel0oooo 00<000000?ooo`3oool0c/`030?ooo`000000oooo0?l0ooooE03oool10=WIf@00o`3o oomO0?ooo`030000003oool0oooo0380ooooFP2c/k<00`3oool000000?ooo`3o0?oooeD0oooo0@3I fMT00?l0ooooG`3oool00`000000oooo0?ooo`0b0?oooeT0/k>c00<0oooo0000003oool0o`3ooomF 0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooomH0;>c/`030?ooo`000000oooo 0?l0ooooE`3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo01<0oooo1D0000030?ooo`90 0000103oool5@00000/0ooooE`2c/k<00`3oool000000?ooo`3o0?oooeP0oooo0@3IfMT00?l0oooo H03oool00`000000oooo0?ooo`0E0?ooo`03@000003oool0oooo00T0oooo00=000000?ooo`3oool0 3@3ooomF0;>c/`030?ooo`000000oooo0?l0ooooF@3oool10=WIf@00o`3ooomP0?ooo`030000003o ool0oooo01D0oooo00=000000?ooo`3oool02P3oool00d000000oooo0?ooo`0<0?oooeD0/k>c00<0 oooo0000003oool0o`3ooomJ0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool05@3oool0 0d000000oooo0?ooo`0;0?ooo`03@000003oool0oooo00/0ooooE02c/k<00`3oool000000?ooo`3o 0?oooe/0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0E0?ooo`03@000003oool0oooo 00`0oooo00=000000?ooo`3oool02P3ooomC0;>c/`030?ooo`000000oooo0?l0ooooG03oool10=WI f@00o`3ooomP0?ooo`030000003oool0oooo01D0oooo00=000000?ooo`3oool02@3oool01D000000 oooo0?ooo`3ooom0000000/0ooooDP2c/k<00`3oool000000?ooo`3o0?oooed0oooo0@3IfMT00?l0 ooooH03oool00`000000oooo0?ooo`0D0?ooo`900000303oool3@00000`0ooooD@2c/k<00`3oool0 00000?ooo`3o0?oooeh0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oooe00/k>c 00<0oooo0000003oool0o`3ooomO0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3o oom?0;>c/`030?ooo`000000oooo0?l0ooooH03oool10=WIf@00o`3ooomP0?ooo`030000003oool0 oooo0340ooooCP2c/k<00`3oool000000?ooo`3o0?ooof40oooo0@3IfMT00?l0ooooH03oool00`00 0000oooo0?ooo`0a0?ooodd0/k>c00<0oooo0000003oool0o`3ooomR0?ooo`40fMWI003o0?ooof00 oooo00<000000?ooo`3oool0<@3ooom<0;>c/`030?ooo`000000oooo0?l0ooooH`3oool10=WIf@00 o`3ooomP0?ooo`030000003oool0oooo0340ooooB`2c/k<00`3oool000000?ooo`3o0?ooof@0oooo 0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?ooodX0/k>c00<0oooo0000003oool0o`3o oomU0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooom90;>c/`030?ooo`000000 oooo0?l0ooooIP3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340ooooB02c/k<00`3o ool000000?ooo`3o0?ooofL0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?ooodL0 /k>c00<0oooo0000003oool0o`3ooomX0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0 <@3ooom60;>c/`030?ooo`000000oooo0?l0ooooJ@3oool10=WIf@00o`3ooomP0?ooo`030000003o ool0oooo0340ooooA@2c/k<00`3oool000000?ooo`3o0?ooofX0oooo0@3IfMT00?l0ooooH03oool0 0`000000oooo0?ooo`0a0?oood@0/k>c00<0oooo0000003oool0o`3ooom[0?ooo`40fMWI003o0?oo of00oooo00<000000?ooo`3oool0<@3ooom30;>c/`030?ooo`000000oooo0?l0ooooK03oool10=WI f@00o`3ooomP0?ooo`030000003oool0oooo0340oooo@P2c/k<00`3oool000000?ooo`3o0?ooofd0 oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oood40/k>c00<0oooo0000003oool0 o`3ooom^0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooom00;>c/`030?ooo`00 0000oooo0?l0ooooK`3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo?`2c/k<0 0`3oool000000?ooo`3o0?ooog00oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oo och0/k>c00<0oooo0000003oool0o`3oooma0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3o ool0<@3ooolm0;>c/`030?ooo`000000oooo0?l0ooooLP3oool10=WIf@00o`3ooomP0?ooo`030000 003oool0oooo0340oooo?02c/k<00`3oool000000?ooo`3o0?ooog<0oooo0@3IfMT00?l0ooooH03o ool00`000000oooo0?ooo`0a0?oooc/0/k>c00<0oooo0000003oool0o`3ooomd0?ooo`40fMWI003o 0?ooof00oooo00<000000?ooo`3oool0<@3ooolj0;>c/`030?ooo`000000oooo0?l0ooooM@3oool1 0=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo>@2c/k<00`3oool000000?ooo`3o0?oo ogH0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?ooocT0/k>c00<000000?ooo`3o ool0o`3ooomf0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooolh0;>c/`030000 003oool0oooo0?l0ooooM`3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo=`2c /k<00`000000oooo0?ooo`3o0?ooogP0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a 0?ooocH0/k>c00<000000?ooo`3oool0o`3ooomi0?ooo`40fMWI003o0?ooof00oooo00<000000?oo o`3oool0<@3ooole0;>c/`030000003oool0oooo0?l0ooooNP3oool10=WIf@00o`3ooomP0?ooo`03 0000003oool0oooo0340oooo=02c/k<00`000000oooo0?ooo`3o0?ooog/0oooo0@3IfMT00?l0oooo H03oool00`000000oooo0?ooo`0a0?oooc<0/k>c00<000000?ooo`3oool0o`3oooml0?ooo`40fMWI 003o0?ooof00oooo00<000000?ooo`3oool0<@3ooolb0;>c/`030000003oool0oooo0?l0ooooO@3o ool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo<@2c/k<00`000000oooo0?ooo`3o 0?ooogh0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oooc00/k>c00<000000?oo o`3oool0o`3ooomo0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3oool_0;>c/`03 0000003oool0oooo0?l0ooooP03oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo ;P2c/k<00`000000oooo0?ooo`3o0?oooh40oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?oo o`0a0?ooobd0/k>c00<000000?ooo`3oool0o`3ooon20?ooo`40fMWI003o0?ooof00oooo00<00000 0?ooo`3oool0<@3oool/0;>c/`030000003oool0oooo0?l0ooooP`3oool10=WIf@00o`3ooomP0?oo o`030000003oool0oooo0340oooo:`2c/k<00`000000oooo0?ooo`3o0?oooh@0oooo0@3IfMT00?l0 ooooH03oool00`000000oooo0?ooo`0C0?ooo`E000000`3oool2@00000H0oooo0d00000;0?ooobX0 /k>c00<000000?ooo`3oool0o`3ooon50?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0 5@3oool00d000000oooo0?ooo`0<0?ooo`03@000003oool0oooo00X0oooo:@2c/k<00`000000oooo 0?ooo`3o0?ooohH0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0E0?ooo`03@000003o ool0oooo00T0oooo1D00000;0?ooobP0/k>c00<000000?ooo`3oool0o`3ooon70?ooo`40fMWI003o 0?ooof00oooo00<000000?ooo`3oool05@3oool00d000000oooo0?ooo`090?ooo`04@000003oool0 oooo@00000`0oooo9`2c/k<00`000000oooo0?ooo`3o0?ooohP0oooo0@3IfMT00?l0ooooH03oool0 0`000000oooo0?ooo`0E0?ooo`03@000003oool0oooo00X0oooo00=000000?oood000000303ooolV 0;>c/`030000003oool0oooo0?l0ooooR@3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo 01D0oooo00=000000?ooo`3oool02`3oool2@00000`0oooo9@2c/k<00`000000oooo0?ooo`3o0?oo ohX0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0D0?ooo`9000003P3oool00d000000 oooo0?ooo`0:0?ooob@0/k>c00<000000?ooo`3oool0o`3ooon;0?ooo`40fMWI003o0?ooof00oooo 00<000000?ooo`3oool0<@3ooolS0;>c/`030000003oool0oooo0?l0ooooS03oool10=WIf@00o`3o oomP0?ooo`030000003oool0oooo0340oooo8P2c/k<00`000000oooo0?ooo`3o0?ooohd0oooo0@3I fMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?ooob40/k>c00<000000?ooo`3oool0o`3ooon> 0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooolP0;>c/`030000003oool0oooo 0?l0ooooS`3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo7`2c/k<00`000000 oooo0?ooo`3o0?oooi00oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oooah0/k>c 00<000000?ooo`3oool0o`3ooonA0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3o oolM0;>c/`030000003oool0oooo0?l0ooooTP3oool10=WIf@00o`3ooomP0?ooo`030000003oool0 oooo0340oooo702c/k<00`000000oooo0?ooo`3o0?oooi<0oooo0@3IfMT00?l0ooooH03oool00`00 0000oooo0?ooo`0a0?oooa/0/k>c00<000000?ooo`3oool0o`3ooonD0?ooo`40fMWI003o0?ooof00 oooo00<000000?ooo`3oool0<@3ooolJ0;>c/`030000003oool0oooo0?l0ooooU@3oool10=WIf@00 o`3ooomP0?ooo`030000003oool0oooo0340oooo6@2c/k<00`000000oooo0?ooo`3o0?oooiH0oooo 0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?oooaP0/k>c00<000000?ooo`3oool0o`3o oonG0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3ooolG0;>c/`030000003oool0 oooo0?l0ooooV03oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo5P2c/k<00`00 0000oooo0?ooo`3o0?oooiT0oooo0@3IfMT00?l0oooo=`3oool00d000000oooo0?ooo`0V0?ooo`03 0000003oool0oooo0340oooo5@2c/k<00`000000oooo0?ooo`3o0?oooiX0oooo0@3IfMT00?l0oooo =`3oool2@00002L0oooo00<000000?ooo`3oool0<@3ooolD0;>c/`030000003oool0oooo0?l0oooo V`3oool10=WIf@00o`3ooolg0?ooo`03@000003ooom0000002H0oooo00<000000?ooo`3oool0<@3o oolC0;>c/`030000003oool0oooo0?l0ooooW03oool10=WIf@00o`3ooolF0?ooo`=000000`3oool0 14000000oooo0?ooo`3oool3@0000080oooo0d0000090?ooo`=0000000<0oooo@000003oool0:@3o ool00`000000oooo0?ooo`0a0?oooa80/k>c00<000000?ooo`3oool0o`3ooonM0?ooo`40fMWI003o 0?oooaL0oooo00=000000?ooo`3oool01`3oool00d000000oooo0?ooo`040?ooo`03@000003oool0 oooo00L0oooo00A000000?ooo`3ooom00000:P3oool00`000000oooo0?ooo`0a0?oooa40/k>c00<0 00000?ooo`3oool0o`3ooonN0?ooo`40fMWI003o0?oooaL0oooo00=000000?ooo`3oool01`3oool0 0d000000oooo0?ooo`040?ooo`03@000003oool0oooo00L0oooo00=000000?oood000000:`3oool0 0`000000oooo0?ooo`0a0?oooa00/k>c00<000000?ooo`3oool0o`3ooonO0?ooo`40fMWI003o0?oo oaP0oooo00=000000?ooo`3oool01`3oool014000000oooo0?ooo`3oool3@00000X0oooo0T000003 0?ooo`06@000003oool0oooo@000003ooom000000P3oool00d000000oooo0?ooo`0M0?ooo`030000 003oool0oooo0340oooo3`2c/k<00`000000oooo0?ooo`3o0?oooj00oooo0@3IfMT00?l0oooo5`3o ool2@00000P0oooo0T0000030?ooo`03@000003oool0oooo00X0oooo00=000000?oood0000000P3o ool01T000000oooo0?oood000000oooo@0000080oooo0T00000N0?ooo`030000003oool0oooo0340 oooo3P2c/k<00`000000oooo0?ooo`3o0?oooj40oooo0@3IfMT00?l0oooo603oool00d000000oooo 0?ooo`070?ooo`04@000003oool0oooo0?ooo`=000002@3oool2@00000040?oood00001000000?oo o`9000000P3oool2@0000080oooo00=000000?oood0000007@3oool00`000000oooo0?ooo`0a0?oo o`d0/k>c00<000000?ooo`3oool0o`3ooonR0?ooo`40fMWI003o0?oooc`0oooo00=000000?ooo`3o ool08@3oool00`000000oooo0?ooo`0a0?ooo``0/k>c00<000000?ooo`3oool0o`3ooonS0?ooo`40 fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3oool;0;>c/`030000003oool0oooo0?l0oooo Y03oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo2P2c/k<00`000000oooo0?oo o`3o0?ooojD0oooo0@3IfMT00?l0ooooH03oool00`000000oooo0?ooo`0a0?ooo`T0/k>c00<00000 0?ooo`3oool0o`3ooonV0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3oool80;>c /`030000003oool0oooo0?l0ooooY`3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340 oooo1`2c/k<00`000000oooo0?ooo`3o0?ooojP0oooo0@3IfMT00?l0ooooH03oool00`000000oooo 0?ooo`0a0?ooo`H0/k>c00<000000?ooo`3oool0o`3ooonY0?ooo`40fMWI003o0?ooof00oooo00<0 00000?ooo`3oool0<@3oool50;>c/`030000003oool0oooo0?l0ooooZP3oool10=WIf@00o`3ooomP 0?ooo`030000003oool0oooo0340oooo102c/k<00`000000oooo0?ooo`3o0?oooj/0oooo0@3IfMT0 0?l0ooooH03oool00`000000oooo0?ooo`0a0?ooo`<0/k>c00<000000?ooo`3oool0o`3ooon/0?oo o`40fMWI003o0?ooof00oooo00<000000?ooo`3oool0<@3oool20;>c/`030000003oool0oooo0?l0 oooo[@3oool10=WIf@00o`3ooomP0?ooo`030000003oool0oooo0340oooo00<0/k>c0000003oool0 o`3ooon_0?ooo`40fMWI003o0?ooof00oooo00=000000?ooo`3oool0<@3oool00`000000oooo0?oo o`3o0?ooojl0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?oo odL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo 0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT0 0?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0oooo o`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo 0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0 oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3I fMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0 ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3o oooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?oo odL0oooo0@3IfMT00?l0ooooT`3oool2@00000030?oood00001000000?l0oooo[P3oool10=WIf@00 o`3ooonB0?ooo`03@000003oool0oooo00900000o`3ooon_0?ooo`40fMWI003o0?oooi80oooo00E0 00000?ooo`3oool0oooo@000003o0?ooojl0oooo0@3IfMT00?l0ooooTP3oool01D000000oooo0?oo o`3ooom000000?l0oooo[`3oool10=WIf@00o`3ooonA0?ooo`9000000P3oool2@0000?l0oooo[`3o ool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WI f@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00\ \>"], ImageRangeCache->{{{0, 836}, {417.5, 0}} -> {-1.74789, -0.0991029, \ 0.00433119, 0.00433119}}], Cell["\<\ (1, 0) : \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .7 g .5 .5 m .5 .16878 L .66624 .33376 L F 0 0 0 r .5 Mabswid 0 0 m .02028 .0027 L .0424 .00573 L .06318 .00865 L .08316 .01154 L .10443 .0147 L .1249 .01784 L .14666 .02129 L .16762 .02472 L .18779 .02813 L .20924 .03189 L .2299 .03565 L .24976 .03939 L .27092 .04354 L .29127 .0477 L .31291 .05233 L .33376 .05699 L .35381 .0617 L .37515 .06697 L .39569 .07233 L .41752 .07837 L .43856 .08459 L .4588 .09098 L .48033 .09829 L .5 .10553 L s .5 .10553 m .51463 .11085 L .53058 .11602 L .54557 .12029 L .55998 .12386 L .57532 .12713 L .59008 .12979 L .60578 .13213 L .6209 .13396 L .63544 .13536 L .65092 .13654 L .66582 .1374 L .68014 .13802 L .68811 .13829 L .6954 .1385 L .71008 .13882 L .71727 .13894 L .72511 .13905 L .73319 .13913 L .74051 .1392 L .74814 .13925 L .75532 .13928 L .76292 .13931 L .76992 .13933 L .77705 .13935 L .78109 .13935 L .78487 .13936 L .78883 .13936 L .79258 .13936 L .7996 .13937 L .80326 .13937 L .80714 .13937 L .81046 .13937 L .81412 .13937 L .81794 .13937 L .82144 .13937 L .82328 .13937 L .82529 .13937 L .82737 .13937 L .82934 .13937 L .83121 .13937 L .83323 .13937 L .83507 .13937 L .83677 .13937 L .8386 .13937 L .84062 .13937 L .84273 .13937 L .8447 .13937 L .84864 .13937 L .85238 .13937 L Mistroke .85401 .13937 L .85574 .13937 L .85764 .13937 L .8594 .13937 L .86062 .13937 L Mfstroke 0 0 m .02028 .00334 L .0424 .00711 L .06318 .01078 L .08316 .01444 L .10443 .01847 L .1249 .02251 L .14666 .02698 L .16762 .03148 L .18779 .03601 L .20924 .04105 L .2299 .04616 L .24976 .05133 L .27092 .05715 L .29127 .0631 L .31291 .06985 L .33376 .07682 L .35381 .08405 L .37515 .09241 L .39569 .10123 L .41752 .11165 L .43856 .12299 L .4588 .1355 L .48033 .1512 L .5 .16878 L s .5 .16878 m .50674 .17552 L .5141 .18287 L .52101 .18978 L .52765 .19642 L .53472 .20349 L .54152 .2103 L .54876 .21753 L .55573 .2245 L .56243 .23121 L .56957 .23834 L .57644 .24521 L .58304 .25181 L .59007 .25885 L .59684 .26561 L .60403 .27281 L .61097 .27974 L .61763 .2864 L .62473 .2935 L .63156 .30033 L .63881 .30758 L .64581 .31457 L .65254 .3213 L .65969 .32843 L .66624 .33376 L s 0 0 m .01899 .0038 L .0397 .0081 L .05916 .0123 L .07787 .01651 L .09778 .02119 L .11695 .0259 L .13732 .03116 L .15695 .03649 L .17583 .0419 L .19592 .048 L .21527 .05424 L .23386 .06063 L .25367 .06794 L .27273 .07553 L .29299 .08432 L .31251 .09364 L .33129 .10359 L .35127 .11553 L .3705 .12879 L .39094 .14555 L .41064 .16571 L .42959 .19168 L .43939 .20982 L .44439 .22125 L .44975 .23616 L .45473 .25409 L .45709 .26489 L .45927 .2771 L .46146 .29292 L .46262 .30377 L .46321 .31042 L .46384 .31885 L .4644 .32775 L .4649 .33797 L .46539 .35103 L .4659 .37315 L s .4659 .37315 m .4659 .5 L s .5 .5 m 1 0 L s gsave .93927 .14324 -83.6563 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.9) show 85.250 13.000 moveto (K) show 90.813 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 92.000 9.375 moveto (thr) show 104.313 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .39814 .49338 -83.6563 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.1) show 85.250 13.000 moveto (K) show 90.813 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 92.000 9.375 moveto (thr) show 104.313 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .7069 .35014 -72.5313 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 15.125 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 9.375 moveto (thr) show 82.063 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .81831 .25465 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{837, 418.5}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`40fMWI000e0?ooo`03@000003oool0oooo 00T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo06L0oooo00E00000 0?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000d03oool01D000000oooo 0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000001Z0?ooo`03@000003oool0oooo 06T0oooo00=000000?ooo`3oool02@3oool01D000000oooo0?ooo`3ooom0000004d0oooo0@3IfMT0 02`0oooo1D0000040?ooo`03@000003oool0oooo00d0oooo00=000000?ooo`3oool0GP3oool5@000 00D0oooo00=000000?ooo`3oool0H03oool5@0000080oooo00E000000?ooo`3oool0oooo@000000= 0?ooo`03@000003oool0oooo0@3oool5 000000030?ooo`000000000000X00000H@3oool00d000000oooo0?ooo`1a0?ooo`03@000003oool0 oooo0700oooo00<000000?ooo`3oool0L03oool00d000000oooo0?ooo`1a0?ooo`03@000003oool0 oooo0700oooo00=000000?ooo`3oool02P3oool00`000000oooo0?ooo`170?ooo`40fMWI000n0?oo o`D000000P3oool5000000030?ooo`000000000000H00000o`3ooom10?ooo`030000003oool0oooo 0?l0ooooI03oool00`000000oooo0?ooo`180?ooo`40fMWI00130?ooo`D000000P3oool5000000@0 oooo1`00003o0?ooocX0oooo00<000000?ooo`3oool0o`3ooomS0?ooo`030000003oool0oooo04T0 oooo0@3IfMT004P0oooo100000030?ooo`D000001P3oool800000?l0oooo0?ooo`D00000403oool500000?<0oooo 00<000000?ooo`3oool0o`3ooomH0?ooo`030000003oool0oooo05@0oooo0@3IfMT007P0oooo1000 000?0?ooo`H000003`3oool600000>d0oooo00<000000?ooo`3oool0o`3ooomG0?ooo`030000003o ool0oooo05D0oooo0@3IfMT007`0oooo1000000A0?ooo`@000004@3oool800000>D0oooo00<00000 0?ooo`3oool0o`3ooomF0?ooo`030000003oool0oooo05H0oooo0@3IfMT00800oooo1@00000@0?oo o`@000005@3oool600000=l0oooo00<000000?ooo`3oool0o`3ooomE0?ooo`030000003oool0oooo 05L0oooo0@3IfMT008D0oooo1@00000?0?ooo`@000005`3oool500000=X0oooo00<000000?ooo`3o ool0o`3ooomD0?ooo`030000003oool0oooo05P0oooo0@3IfMT008X0oooo1000000?0?ooo`@00000 603oool500000=D0oooo00<000000?ooo`3oool0o`3ooomC0?ooo`030000003oool0oooo05T0oooo 0@3IfMT008h0oooo1000000?0?ooo`@000006@3oool500000=00oooo0`0000000d000000oooo0?oo o`3o0?ooodl0oooo00<000000?ooo`3oool0FP3oool10=WIf@00TP3oool300000100oooo1@00000I 0?ooo`D00000b`3oool00`000000oooo0?ooo`3o0?oooe40oooo00<000000?ooo`3oool0F`3oool1 0=WIf@00U@3oool400000140oooo1@00000I0?ooo`D00000aP3oool00`000000oooo0?ooo`3o0?oo oe00oooo00<000000?ooo`3oool0G03oool10=WIf@00V@3oool3000001<0oooo1000000J0?ooo`H0 0000`03oool00`000000oooo0?ooo`3o0?ooodl0oooo00<000000?ooo`3oool0G@3oool10=WIf@00 W03oool4000001<0oooo1000000L0?ooo`P00000^03oool00`000000oooo0?ooo`3o0?ooodh0oooo 00<000000?ooo`3oool0GP3oool10=WIf@00X03oool3000001@0oooo1000000P0?ooo`H00000/P3o ool00`000000oooo0?ooo`3o0?ooodd0oooo00<000000?ooo`3oool0G`3oool10=WIf@00X`3oool4 000001@0oooo1000000R0?ooo`D00000[@3oool00`000000oooo0?ooo`3o0?oood`0oooo00<00000 0?ooo`3oool0H03oool10=WIf@00Y`3oool3000001D0oooo1000000S0?ooo`D00000Z03oool00`00 0000oooo0?ooo`3o0?oood/0oooo00<000000?ooo`3oool0H@3oool10=WIf@00ZP3oool3000001H0 oooo1@00000S0?ooo`D00000X`3oool00`000000oooo0?ooo`3o0?ooodX0oooo00<000000?ooo`3o ool0HP3oool10=WIf@00[@3oool2000001T0oooo1@00000S0?ooo`D00000WP3oool00`000000oooo 0?ooo`3o0?ooodT0oooo00<000000?ooo`3oool0H`3oool10=WIf@00[`3oool3000001/0oooo1000 000T0?ooo`D00000V@3oool00`000000oooo0?ooo`3o0?ooodP0oooo00<000000?ooo`3oool0I03o ool10=WIf@00/P3oool3000001`0oooo1000000U0?ooo`@00000U@3oool00`000000oooo0?ooo`3o 0?ooodL0oooo00<000000?ooo`3oool0I@3oool10=WIf@00]@3oool3000001d0oooo1000000U0?oo o`@00000T@3oool300000003@000003oool0oooo0?l0oooo@`3oool00`000000oooo0?ooo`1V0?oo o`40fMWI002h0?ooo`@000007@3oool4000002D0oooo1000002=0?ooo`030000003oool0oooo0?l0 ooooA@3oool00`000000oooo0?ooo`1W0?ooo`40fMWI002l0?ooo`@000007@3oool3000002H0oooo 100000290?ooo`030000003oool0oooo0?l0ooooA03oool00`000000oooo0?ooo`1X0?ooo`40fMWI 00300?ooo`@00000703oool4000002H0oooo100000250?ooo`030000003oool0oooo0?l0oooo@`3o ool00`000000oooo0?ooo`1Y0?ooo`40fMWI00340?ooo`<000007@3oool4000002H0oooo1@000020 0?ooo`030000003oool0oooo0?l0oooo@P3oool00`000000oooo0?ooo`1Z0?ooo`40fMWI00370?oo o`8000007`3oool4000002L0oooo1@00001k0?ooo`030000003oool0oooo0?l0oooo@@3oool00`00 0000oooo0?ooo`1[0?ooo`40fMWI00390?ooo`<00000803oool3000002T0oooo1000001g0?ooo`03 0000003oool0oooo0?l0oooo@03oool00`000000oooo0?ooo`1/0?ooo`40fMWI003<0?ooo`<00000 803oool3000002X0oooo1000001c0?ooo`030000003oool0oooo0?l0oooo?`3oool00`000000oooo 0?ooo`1]0?ooo`40fMWI003?0?ooo`8000008@3oool3000002/0oooo1000001_0?ooo`030000003o ool0oooo0?l0oooo?P3oool00`000000oooo0?ooo`1^0?ooo`40fMWI003A0?ooo`<000008@3oool3 000002`0oooo1000001>0?ooo`=00000103oool2@00000@0oooo1D00000;0?ooo`030000003oool0 oooo0?l0oooo?@3oool00`000000oooo0?ooo`1_0?ooo`40fMWI003D0?ooo`<000008@3oool30000 02d0oooo100000190?ooo`05@000003oool0oooo0?oood0000002@3oool00d000000oooo0?ooo`0= 0?ooo`030000003oool0oooo0?l0oooo?03oool00`000000oooo0?ooo`1`0?ooo`40fMWI003G0?oo o`8000008P3oool3000002h0oooo1@0000140?ooo`05@000003oool0oooo0?oood0000002P3oool0 0d000000oooo0?ooo`0<0?ooo`D0000000=000000?ooo`3oool0o`3ooolf0?ooo`030000003oool0 oooo0740oooo0@3IfMT00=T0oooo0`00000R0?ooo`<00000<03oool6000003h0oooo00E000000?oo o`3oool0oooo@000000;0?ooo`03@000003oool0oooo00/0oooo00<000000?ooo`3oool0o`3ooolj 0?ooo`030000003oool0oooo0780oooo0@3IfMT00=`0oooo0`00000R0?ooo`<00000<`3oool40000 03X0oooo00E000000?ooo`3oool0oooo@000000<0?ooo`03@000003oool0oooo00X0oooo00<00000 0?ooo`3oool0o`3oooli0?ooo`030000003oool0oooo07<0oooo0@3IfMT00=l0oooo0`00000R0?oo o`<00000=03oool4000003H0oooo00E000000?ooo`3oool0oooo@00000090?ooo`05@000003oool0 oooo0?oood0000002`3oool00`000000oooo0?ooo`3o0?ooocP0oooo00<000000?ooo`3oool0M03o ool10=WIf@00hP3oool2000002<0oooo0`00000e0?ooo`<00000=03oool3@00000/0oooo0d00000< 0?ooo`030000003oool0oooo0?l0oooo=`3oool00`000000oooo0?ooo`1e0?ooo`40fMWI003T0?oo o`800000903oool3000003D0oooo1000001=0?ooo`030000003oool0oooo0?l0oooo=P3oool00`00 0000oooo0?ooo`1f0?ooo`40fMWI003V0?ooo`<00000903oool3000003H0oooo0`00001:0?ooo`03 0000003oool0oooo0?l0oooo=@3oool00`000000oooo0?ooo`1g0?ooo`40fMWI003Y0?ooo`800000 9@3oool3000003H0oooo0`0000170?ooo`030000003oool0oooo0?l0oooo=03oool00`000000oooo 0?ooo`1h0?ooo`40fMWI003[0?ooo`8000009P3oool3000003H0oooo0`0000140?ooo`030000003o ool0oooo0?l0oooo<`3oool00`000000oooo0?ooo`1i0?ooo`40fMWI003]0?ooo`<000009P3oool3 000003H0oooo100000100?ooo`030000003oool0oooo0?l0oooo03o ool400000380oooo00<000000?ooo`3oool0o`3oool^0?ooo`030000003oool0oooo07h0oooo0@3I fMT00?X0oooo0P00000Y0?ooo`<00000>@3oool4000002h0oooo00<000000?ooo`3oool0o`3oool] 0?ooo`030000003oool0oooo07l0oooo0@3IfMT00?`0oooo0P00000Z0?ooo`<00000>P3oool30000 02/0oooo00<000000?ooo`3oool0o`3oool/0?ooo`030000003oool0oooo0800oooo0@3IfMT00?h0 oooo0P00000[0?ooo`800000>`3oool3000002P0oooo00<000000?ooo`3oool0o`3oool[0?ooo`03 0000003oool0oooo0840oooo0@3IfMT00?l0oooo0@3oool2000002/0oooo0`00000k0?ooo`<00000 9@3oool00`000000oooo0?ooo`3o0?ooobX0oooo00<000000?ooo`3oool0PP3oool10=WIf@00o`3o ool30?ooo`800000;03oool3000003/0oooo0`00000R0?ooo`030000003oool0oooo0?l0oooo:@3o ool00`000000oooo0?ooo`230?ooo`40fMWI003o0?ooo`D0oooo0P00000]0?ooo`800000?03oool3 000001l0oooo00<000000?ooo`3oool0o`3ooolX0?ooo`030000003oool0oooo08@0oooo0@3IfMT0 0?l0oooo1`3oool2000002d0oooo0`00000l0?ooo`<00000703oool00`000000oooo0?ooo`3o0?oo obL0oooo00<000000?ooo`3oool0Q@3oool10=WIf@00o`3oool90?ooo`800000;P3oool3000003`0 oooo0`00000I0?ooo`030000003oool0oooo0?l0oooo9P3oool00`000000oooo0?ooo`260?ooo`40 fMWI003o0?ooo`/0oooo0P00000_0?ooo`800000?@3oool3000001H0oooo00<000000?ooo`3oool0 o`3ooolU0?ooo`030000003oool0oooo08L0oooo0@3IfMT00?l0oooo3@3oool2000002l0oooo0P00 000n0?ooo`@000004P3oool300000003@000003oool0oooo0?l0oooo8@3oool00`000000oooo0?oo o`280?ooo`40fMWI003o0?ooo`l0oooo0P00000_0?ooo`<00000?`3oool3000000l0oooo00<00000 0?ooo`3oool0o`3ooolS0?ooo`030000003oool0oooo08T0oooo0@3IfMT00?l0oooo4@3oool20000 0300oooo0P0000100?ooo`<00000303oool00`000000oooo0?ooo`3o0?ooob80oooo00<000000?oo o`3oool0RP3oool10=WIf@00o`3ooolC0?ooo`800000<03oool200000440oooo0`0000090?ooo`03 0000003oool0oooo0?l0oooo8@3oool00`000000oooo0?ooo`2;0?ooo`40fMWI003o0?oooaD0oooo 0P00000`0?ooo`800000@P3oool2000000L0oooo00<000000?ooo`3oool0o`3ooolP0?ooo`030000 003oool0oooo08`0oooo0@3IfMT00?l0oooo5`3oool200000300oooo0P0000120?ooo`<00000103o ool00`000000oooo0?ooo`3o0?oooal0oooo00<000000?ooo`3oool0S@3oool10=WIf@00o`3ooolI 0?ooo`800000<03oool2000004<0oooo0`0000000`3oool000000?ooo`3o0?oooal0oooo00<00000 0?ooo`3oool0SP3oool10=WIf@00o`3ooolK0?ooo`800000<03oool2000004@0oooo0`00003o0?oo oah0oooo00<000000?ooo`3oool0S`3oool10=WIf@00o`3ooolM0?ooo`030000003oool0oooo02l0 oooo0P0000130?ooo`030000003oool0000000800000o`3ooolJ0?ooo`030000003oool0oooo0900 oooo0@3IfMT00?l0oooo7P3oool200000340oooo0P0000110?ooo`030000003oool0oooo0080oooo 0P00003o0?oooaL0oooo00<000000?ooo`3oool0T@3oool10=WIf@00o`3ooolP0?ooo`030000003o ool0oooo0300oooo0P00000o0?ooo`030000003oool0oooo00@0oooo0`00003o0?oooa<0oooo00<0 00000?ooo`3oool0TP3oool10=WIf@00o`3ooolQ0?ooo`800000`3oool300000003@000003oool0oooo00L0oooo0`00003o0?oo o`/0oooo00<000000?ooo`3oool0U03oool10=WIf@00o`3ooolU0?ooo`030000003oool0oooo0340 oooo0P00000i0?ooo`030000003oool0oooo00d0oooo0P00003o0?ooo`P0oooo00<000000?ooo`3o ool0U@3oool10=WIf@00o`3ooolV0?ooo`800000<`3oool2000003L0oooo00<000000?ooo`3oool0 3`3oool300000?l0oooo103oool00`000000oooo0?ooo`2F0?ooo`40fMWI003o0?ooobP0oooo00<0 00000?ooo`3oool0L0oooo00<000000?ooo`3oool0W03o ool10=WIf@00o`3ooola0?ooo`800000=@3oool2000000d0oooo0d0000040?ooo`9000001P3oool3 @00000/0oooo00<000000?ooo`3oool0:03oool400000>80oooo00<000000?ooo`3oool0W@3oool1 0=WIf@00o`3ooolc0?ooo`030000003oool0oooo03@0oooo0P00000:0?ooo`05@000003oool0oooo 0?oood000000303oool00d000000oooo0?ooo`0:0?ooo`030000003oool0oooo02`0oooo1P00003K 0?ooo`030000003oool0oooo09h0oooo0@3IfMT00?l0oooo=03oool2000003H0oooo00<000000?oo o`3oool01`3oool01D000000oooo0?ooo`3ooom0000000T0oooo1D00000;0?ooo`D0000000=00000 0?ooo`3oool0;@3oool500000=D0oooo00<000000?ooo`3oool0W`3oool10=WIf@00o`3ooolf0?oo o`030000003oool0oooo03@0oooo0P0000070?ooo`05@000003oool0oooo0?oood0000002@3oool0 14000000oooo0?oood00000<0?ooo`030000003oool0oooo03L0oooo1@00003?0?ooo`030000003o ool0oooo0:00oooo0@3IfMT00?l0oooo=`3oool00`000000oooo0?ooo`0e0?ooo`8000001@3oool0 1D000000oooo0?ooo`3ooom0000000X0oooo00=000000?oood000000303oool00`000000oooo0?oo o`0l0?ooo`D00000b@3oool00`000000oooo0?ooo`2Q0?ooo`40fMWI003o0?ooocP0oooo0P00000g 0?ooo`030000003oool0oooo0080oooo00E000000?ooo`3oool0oooo@000000;0?ooo`900000303o ool00`000000oooo0?ooo`110?ooo`H00000`P3oool00`000000oooo0?ooo`2R0?ooo`40fMWI003o 0?ooocX0oooo00<000000?ooo`3oool0=@3oool2000000<0oooo0d00000=0?ooo`03@000003oool0 oooo00X0oooo00<000000?ooo`3oool0A`3oool900000;P0oooo00<000000?ooo`3oool0X`3oool1 0=WIf@00o`3ooolk0?ooo`030000003oool0oooo03H0oooo0P00000N0?ooo`030000003oool0oooo 0500oooo2P00002]0?ooo`030000003oool0oooo0:@0oooo0@3IfMT00?l0oooo?03oool00`000000 oooo0?ooo`0g0?ooo`030000003oool0oooo01/0oooo00<000000?ooo`3oool0FP3oool;00000:40 oooo00<000000?ooo`3oool0Y@3oool10=WIf@00o`3ooolm0?ooo`800000>03oool00`000000oooo 0?ooo`0J0?ooo`030000003oool0oooo06D0oooo2`00002E0?ooo`030000003oool0oooo0:H0oooo 0@3IfMT00?l0oooo?`3oool00`000000oooo0?ooo`0f0?ooo`8000006P3oool00`000000oooo0?oo o`1`0?ooob000000M03oool00`000000oooo0?ooo`0m0?ooo`03@000003oool0oooo06L0oooo0@3I fMT00?l0oooo@03oool00`000000oooo0?ooo`0g0?ooo`030000003oool0oooo01L0oooo00<00000 0?ooo`3oool0T03ooomd00000400oooo0T00001X0?ooo`40fMWI003o0?oood40oooo00<000000?oo o`3oool0=`3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo0?l0oooo0`3oool00`00 0000oooo0?ooo`0T0?ooo`9000000`3oool014000000oooo0?ooo`3oool2@00000T0oooo0d000000 1`3ooom000000?ooo`3ooom000000?oood000000I`3oool10=WIf@00o`3ooom20?ooo`800000>03o ool2000001H0oooo00<000000?ooo`3oool0o`3oool20?ooo`030000003oool0oooo02@0oooo00=0 00000?oood0000002@3oool00d000000oooo0?ooo`070?ooo`04@000003oool0oooo@00006`0oooo 0@3IfMT00?l0ooooA03oool00`000000oooo0?ooo`0g0?ooo`030000003oool0oooo01<0oooo0`00 00000d000000oooo0?ooo`3m0?ooo`030000003oool0oooo02D0oooo00A000000?ooo`3ooom00000 1P3oool4@00000P0oooo00=000000?oood000000K@3oool10=WIf@00o`3ooom50?ooo`030000003o ool0oooo03L0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`3o0?ooo`030000003o ool0oooo02H0oooo00A000000?ooo`3ooom000001P3oool014000000oooo0?oood0000090?ooo`90 0000K@3oool10=WIf@00o`3ooom60?ooo`030000003oool0oooo03L0oooo0P00000B0?ooo`030000 003oool0oooo0?h0oooo00<000000?ooo`3oool0:03oool00d000000oooo@00000060?ooo`04@000 003oool0oooo@00000T0oooo00=000000?oood0000000`3oool01T000000oooo0?oood000000oooo @0000080oooo00=000000?ooo`3oool0GP3oool10=WIf@00o`3ooom70?ooo`030000003oool0oooo 03P0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`3m0?ooo`030000003oool0oooo 02T0oooo0T0000080?ooo`=00000203oool2@00000030?oood00001000000080oooo00I000000?oo o`3ooom000000?oood0000020?ooo`900000G`3oool10=WIf@00o`3ooom80?ooo`030000003oool0 oooo03P0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`3l0?ooo`030000003oool0 oooo04H0oooo0T0000020?ooo`9000000P3oool00d000000oooo@000001N0?ooo`40fMWI003o0?oo odT0oooo00<000000?ooo`3oool0>03oool2000000h0oooo00<000000?ooo`3oool0n`3oool00`00 0000oooo0?ooo`1;0?ooo`03@000003oool0oooo0680oooo0@3IfMT00?l0ooooBP3oool00`000000 oooo0?ooo`0i0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0nP3oool00`000000 oooo0?ooo`2a0?ooo`40fMWI003o0?oood/0oooo00<000000?ooo`3oool0>@3oool00`000000oooo 0?ooo`0:0?ooo`030000003oool0oooo0?T0oooo00<000000?ooo`3oool0/P3oool10=WIf@00o`3o oom<0?ooo`030000003oool0oooo03T0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?oo o`3h0?ooo`030000003oool0oooo0;<0oooo0@3IfMT00?l0ooooC03oool00`000000oooo0?ooo`0j 0?ooo`8000002@3oool00`000000oooo0?ooo`3g0?ooo`030000003oool0oooo0;@0oooo0@3IfMT0 0?l0ooooC@3oool00`000000oooo0?ooo`0k0?ooo`030000003oool0oooo00H0oooo00<000000?oo o`3oool0mP3oool00`000000oooo0?ooo`2e0?ooo`40fMWI003o0?ooodh0oooo00<000000?ooo`3o ool0>`3oool00`000000oooo0?ooo`050?ooo`<0000000=000000?ooo`3oool0lP3oool00`000000 oooo0?ooo`2f0?ooo`40fMWI003o0?ooodl0oooo00<000000?ooo`3oool0>`3oool00`000000oooo 0?ooo`040?ooo`030000003oool0oooo0?@0oooo00<000000?ooo`3oool0]`3oool10=WIf@00o`3o oom@0?ooo`030000003oool0oooo03/0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?oo o`3c0?ooo`030000003oool0oooo0;P0oooo0@3IfMT00?l0ooooD@3oool00`000000oooo0?ooo`0k 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool0lP3oool00`000000oooo0?ooo`2i 0?ooo`40fMWI003o0?oooe80oooo00<000000?ooo`3oool0>`3oool200000080oooo00<000000?oo o`3oool0l@3oool00`000000oooo0?ooo`2j0?ooo`40fMWI003o0?oooe<0oooo00<000000?ooo`3o ool0?03oool00`000000oooo0000003b0?ooo`030000003oool0oooo0;/0oooo0@3IfMT00?l0oooo E03oool00`000000oooo0?ooo`0l0?ooo`800000l@3oool00`000000oooo0?ooo`2l0?ooo`40fMWI 003o0?oooe@0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`3^0?ooo`030000003o ool0oooo0;d0oooo0@3IfMT00?l0ooooE@3oool00`000000oooo0?ooo`0l0?ooo`030;>c/`000000 oooo0>d0oooo00<000000?ooo`3oool0_P3oool10=WIf@00o`3ooomF0?ooo`030000003oool0oooo 03/0oooo0P2c/k<00`000000oooo0?ooo`3Z0?ooo`030000003oool0oooo0;l0oooo0@3IfMT00?l0 ooooE`3oool00`000000oooo0?ooo`0j0?ooo`<0/k>c00<000000?ooo`3oool0j03oool00`000000 oooo0?ooo`300?ooo`40fMWI003o0?oooeL0oooo00<000000?ooo`3oool0>P3oool40;>c/`030000 003oool0oooo0>H0oooo00<000000?ooo`3oool0`@3oool10=WIf@00o`3ooomH0?ooo`030000003o ool0oooo03T0oooo1@2c/k<00`000000oooo0?ooo`3T0?ooo`030000003oool0oooo0<80oooo0@3I fMT00?l0ooooF@3oool00`000000oooo0?ooo`0h0?ooo`H0/k>c00<000000?ooo`3oool0hP3oool0 0`000000oooo0?ooo`330?ooo`40fMWI003o0?oooeX0oooo00<000000?ooo`3oool0=`3oool70;>c /`030000003oool0oooo0>00oooo00<000000?ooo`3oool0a03oool10=WIf@00o`3ooomJ0?ooo`03 0000003oool0oooo03L0oooo202c/k<00`000000oooo0?ooo`3N0?ooo`030000003oool0oooo0c00<000000?ooo`3oool0 g@3oool00`000000oooo0?ooo`360?ooo`40fMWI003o0?oooe`0oooo00<000000?ooo`3oool0=@3o ool90;>c/`030000003oool0oooo0=/0oooo00<000000?ooo`3oool0a`3oool10=WIf@00o`3ooomM 0?ooo`030000003oool0oooo03@0oooo2P2c/k<00`000000oooo0?ooo`3I0?ooo`030000003oool0 oooo0c00<000000?oo o`3oool0e`3oool00`000000oooo0?ooo`390?ooo`40fMWI003o0?oooeh0oooo00<000000?ooo`3o ool0<`3oool<0;>c/`030000003oool0oooo0=D0oooo00<000000?ooo`3oool0bP3oool10=WIf@00 o`3ooomO0?ooo`030000003oool0oooo0380oooo3@2c/k<00`000000oooo0?ooo`3C0?ooo`030000 003oool0oooo0c00<000000?ooo`3oool0d@3oool00`000000oooo0?oo o`3<0?ooo`40fMWI003o0?ooof00oooo00<000000?ooo`3oool04`3oool01D000000oooo0?ooo`3o oom0000000T0oooo00E000000?ooo`3oool0oooo@000000;0?ooo`l0/k>c00<000000?ooo`3oool0 c`3oool00`000000oooo0?ooo`3=0?ooo`40fMWI003o0?ooof40oooo00<000000?ooo`3oool04P3o ool01D000000oooo0?ooo`3ooom0000000T0oooo00E000000?ooo`3oool0oooo@000000;0?oooa00 /k>c00<000000?ooo`3oool0c@3oool00`000000oooo0?ooo`3>0?ooo`40fMWI003o0?ooof80oooo 00<000000?ooo`3oool04@3oool01D000000oooo0?ooo`3ooom0000000T0oooo1400000<0?oooa40 /k>c0P00003<0?ooo`030000003oool0oooo0c00<000000?ooo`3oool0b03oool00`000000oooo0?ooo`3@0?ooo`40fMWI003o0?ooof<0oooo 00<000000?ooo`3oool0403oool01D000000oooo0?ooo`3ooom0000000X0oooo00=000000?ooo`3o ool0303ooolD0;>c/`030000003oool0oooo0c/`030000 003oool0oooo0<@0oooo00<000000?ooo`3oool0dP3oool10=WIf@00o`3ooomT0?ooo`030000003o ool0oooo02d0oooo5P2c/k<00`000000oooo0?ooo`320?ooo`030000003oool0oooo0=<0oooo0@3I fMT00?l0ooooI03oool00`000000oooo0?ooo`0]0?oooaL0/k>c00<000000?ooo`3oool0`03oool0 0`000000oooo0?ooo`3D0?ooo`40fMWI003o0?ooofD0oooo00<000000?ooo`3oool0;03ooolH0;>c /`030000003oool0oooo0;h0oooo00<000000?ooo`3oool0e@3oool10=WIf@00o`3ooomU0?ooo`03 0000003oool0oooo02`0oooo6@2c/k<00`000000oooo0?ooo`2l0?ooo`030000003oool0oooo0=H0 oooo0@3IfMT00?l0ooooIP3oool00`000000oooo0?ooo`0[0?oooaX0/k>c00<000000?ooo`3oool0 ^P3oool00`000000oooo0?ooo`3G0?ooo`40fMWI003o0?ooofH0oooo00<000000?ooo`3oool0:`3o oolK0;>c/`030000003oool0oooo0;P0oooo00<000000?ooo`3oool0f03oool10=WIf@00o`3ooomW 0?ooo`030000003oool0oooo02X0oooo702c/k<00`000000oooo0?ooo`2f0?ooo`030000003oool0 oooo0=T0oooo0@3IfMT00?l0ooooI`3oool00`000000oooo0?ooo`0Z0?oooad0/k>c00<000000?oo o`3oool0]03oool00`000000oooo0?ooo`3J0?ooo`40fMWI003o0?ooofP0oooo00<000000?ooo`3o ool0:@3ooolN0;>c/`030000003oool0oooo0;80oooo00<000000?ooo`3oool0f`3oool10=WIf@00 o`3ooomY0?ooo`030000003oool0oooo02P0oooo7`2c/k<00`000000oooo0?ooo`2`0?ooo`030000 003oool0oooo0=`0oooo0@3IfMT00?l0ooooJ@3oool00`000000oooo0?ooo`0X0?ooob00/k>c00<0 00000?ooo`3oool0[P3oool00`000000oooo0?ooo`3M0?ooo`40fMWI003o0?ooofX0oooo00<00000 0?ooo`3oool09`3ooolQ0;>c/`030000003oool0oooo0:`0oooo00<000000?ooo`3oool0gP3oool1 0=WIf@00o`3ooomZ0?ooo`030000003oool0oooo02L0oooo8@2c/k<00`000000oooo0?ooo`2[0?oo o`030000003oool0oooo0=l0oooo0@3IfMT00?l0ooooJ`3oool00`000000oooo0?ooo`0V0?ooob80 /k>c00<000000?ooo`3oool0Z@3oool00`000000oooo0?ooo`3P0?ooo`40fMWI003o0?ooof/0oooo 00<000000?ooo`3oool09P3ooolS0;>c/`030000003oool0oooo0:L0oooo00<000000?ooo`3oool0 h@3oool10=WIf@00o`3ooom/0?ooo`030000003oool0oooo02D0oooo902c/k<00`000000oooo0?oo o`2U0?ooo`030000003oool0oooo0>80oooo0@3IfMT00?l0ooooK03oool00`000000oooo0?ooo`0U 0?ooobD0/k>c00<000000?ooo`3oool0X`3oool00`000000oooo0?ooo`3S0?ooo`40fMWI003o0?oo of`0oooo00<000000?ooo`3oool09@3ooolV0;>c/`030000003oool0oooo0:40oooo00<000000?oo o`3oool0i03oool10=WIf@00o`3ooom]0?ooo`030000003oool0oooo02@0oooo9`2c/k<00`000000 oooo0?ooo`2O0?ooo`030000003oool0oooo0>D0oooo0@3IfMT00?l0ooooK@3oool00`000000oooo 0?ooo`0T0?ooobP0/k>c00<000000?ooo`3oool0W@3oool00`000000oooo0?ooo`3V0?ooo`40fMWI 003o0?ooofd0oooo00<000000?ooo`3oool0903ooolY0;>c/`030000003oool0oooo09/0oooo00<0 00000?ooo`3oool0i`3oool10=WIf@00o`3ooom^0?ooo`030000003oool0oooo02<0oooo:P2c/k<0 0`000000oooo0?ooo`2I0?ooo`030000003oool0oooo0>P0oooo0@3IfMT00?l0ooooKP3oool00`00 0000oooo0?ooo`0S0?ooob/0/k>c00<000000?ooo`3oool0U`3oool00`000000oooo0?ooo`3Y0?oo o`40fMWI003o0?ooofl0oooo00<000000?ooo`3oool08P3oool/0;>c/`030000003oool0oooo09D0 oooo00<000000?ooo`3oool0jP3oool10=WIf@00o`3ooom_0?ooo`030000003oool0oooo0280oooo ;@2c/k<00`000000oooo0?ooo`2C0?ooo`030000003oool0oooo0>/0oooo0@3IfMT00?l0ooooK`3o ool00`000000oooo0?ooo`0R0?ooobh0/k>c00<000000?ooo`3oool0T@3oool00`000000oooo0?oo o`3/0?ooo`40fMWI003o0?ooog00oooo00<000000?ooo`3oool08@3oool_0;>c/`030000003oool0 oooo08l0oooo00<000000?ooo`3oool0k@3oool10=WIf@00o`3ooom`0?ooo`030000003oool0oooo 0240oooo<02c/k<2000008h0oooo00<000000?ooo`3oool0kP3oool10=WIf@00o`3ooom`0?ooo`03 0000003oool0oooo0240ooool0 oooo0@3IfMT00?l0ooooL03oool00`000000oooo0?ooo`0Q0?oooc<0/k>c00<000000?ooo`3oool0 R03oool00`000000oooo0?ooo`3`0?ooo`40fMWI003o0?ooog40oooo00<000000?ooo`3oool0803o oold0;>c/`030000003oool0oooo08H0oooo00<000000?ooo`3oool0l@3oool10=WIf@00o`3oooma 0?ooo`030000003oool0oooo0200oooo=@2c/k<00`000000oooo0?ooo`240?ooo`030000003oool0 oooo0?80oooo0@3IfMT00?l0ooooL@3oool00`000000oooo0?ooo`0P0?ooocH0/k>c00<000000?oo o`3oool0PP3oool00`000000oooo0?ooo`0d0?ooo`E00000^P3oool10=WIf@00o`3oooma0?ooo`03 0000003oool0oooo0200oooo=`2c/k<00`000000oooo0?ooo`200?ooo`030000003oool0oooo03D0 oooo00=000000?ooo`3oool0_03oool10=WIf@00o`3ooomb0?ooo`030000003oool0oooo01l0oooo >02c/k<00`000000oooo0?ooo`1n0?ooo`030000003oool0oooo03L0oooo00=000000?ooo`3oool0 ^`3oool10=WIf@00o`3ooomb0?ooo`030000003oool0oooo01l0oooo>@2c/k<00`000000oooo0?oo o`1l0?ooo`030000003oool0oooo03T0oooo00=000000?ooo`3oool0^P3oool10=WIf@00o`3ooomb 0?ooo`030000003oool0oooo01l0oooo>P2c/k<00`000000oooo0?ooo`1j0?ooo`030000003oool0 oooo03/0oooo00=000000?ooo`3oool0^@3oool10=WIf@00o`3ooomb0?ooo`030000003oool0oooo 01l0oooo>P2c/k<00`000000oooo0?ooo`1i0?ooo`030000003oool0oooo03T0oooo00E000000?oo o`3oool0oooo@000002j0?ooo`40fMWI003o0?ooog<0oooo00<000000?ooo`3oool07P3ooolk0;>c /`030000003oool0oooo07L0oooo00<000000?ooo`3oool0>`3oool3@0000;/0oooo0@3IfMT00?l0 ooooL`3oool010000000oooo0?ooo`3oool3@00000@0oooo0T0000050?ooo`=00000303oooll0;>c /`030000002c/k<0oooo07D0oooo00<000000?ooo`3oool07P3oool2@00000030?oood0000100000 0080oooo00=000000?ooo`3oool00`3oool2@0000c00<000000;>c/`3oool0L`3oool00`000000oooo0?ooo`0N0?ooo`03@000003oool0 oooo009000000`3oool00d000000oooo0?ooo`030?ooo`03@000003ooom0000000<0oooo1D000034 0?ooo`40fMWI003o0?ooog<0oooo00@000000?ooo`3ooom000000`3oool00d000000oooo0?ooo`07 0?ooo`05@000003oool0oooo0?oood0000002`3oooln0;>c/`030000002c/k<0oooo0740oooo00<0 00000?ooo`3oool07`3oool01T000000oooo0?ooo`3ooom000000?ooo`E000000P3oool014000000 oooo0?oood00000;0?ooo`Y00000]`3oool10=WIf@00o`3ooomd0?ooo`030000003ooom0000000<0 oooo00=000000?ooo`3oool0203oool3@00000`0oooo?`2c/k<00`000000/k>c0?ooo`1_0?ooo`03 0000003oool0oooo0200oooo00E000000?ooo`3oool0oooo@00000030?ooo`03@000003oool0oooo 0080oooo00E000000?ooo`3oool0oooo@00000020?ooo`E00000a03oool10=WIf@00o`3ooomd0?oo o`030000003ooom0000000<0oooo00=000000?ooo`3oool01`3oool01D000000oooo0?ooo`3ooom0 000000/0oooo@02c/k<00`000000/k>c0?ooo`1]0?ooo`030000003oool0oooo0200oooo0T000002 0?ooo`9000000`3oool014000000oooo0?ooo`3oool3@00000040?oood0000100000@0000c00<000000;>c/`3oool0J`3oool00`000000oooo 0?ooo`3o0?ooo`40fMWI003o0?ooog@0oooo00<000000?ooo`3oool00d00000;0?ooo`=00000303o oom20;>c/`030000002c/k<0oooo06T0oooo00<000000?ooo`3oool0o`3oool10?ooo`40fMWI003o 0?ooogD0oooo00<000000?ooo`3oool0703ooom30;>c/`030000002c/k<0oooo06L0oooo00<00000 0?ooo`3oool0@@3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo0;P0oooo0@3IfMT0 0?l0ooooM@3oool00`000000oooo0?ooo`0L0?oood@0/k>c00<000000;>c/`3oool0I@3oool00`00 0000oooo0?ooo`130?ooo`04@000003oool0oooo@0000;/0oooo0@3IfMT00?l0ooooM@3oool00`00 0000oooo0?ooo`0L0?ooodD0/k>c00<000000;>c/`3oool0H`3oool00`000000oooo0?ooo`150?oo o`03@000003ooom000000;/0oooo0@3IfMT00?l0ooooM@3oool00`000000oooo0?ooo`0L0?ooodH0 /k>c00<000000;>c/`3oool0H@3oool00`000000oooo0?ooo`160?ooo`03@000003ooom000000;/0 oooo0@3IfMT00?l0ooooM@3oool00`000000oooo0?ooo`0L0?ooodL0/k>c00<000000;>c/`3oool0 G`3oool00`000000oooo0?ooo`150?ooo`M00000^@3oool10=WIf@00o`3ooomf0?ooo`030000003o ool0oooo01/0ooooB02c/k<00`000000/k>c0?ooo`1M0?ooo`030000003oool0oooo0?l0oooo1`3o ool10=WIf@00o`3ooomf0?ooo`030000003oool0oooo01/0ooooB@2c/k<2000005`0oooo00<00000 0?ooo`3oool0o`3oool80?ooo`40fMWI003o0?ooogH0oooo00<000000?ooo`3oool06`3ooom;0;>c /`030000003oool0oooo05P0oooo00<000000?ooo`3oool0o`3oool90?ooo`40fMWI003o0?ooogH0 oooo00<000000?ooo`3oool06`3ooom<0;>c/`030000003oool0oooo05H0oooo00<000000?ooo`3o ool0o`3oool:0?ooo`40fMWI003o0?ooogL0oooo00<000000?ooo`3oool06P3ooom=0;>c/`030000 003oool0oooo05@0oooo00<000000?ooo`3oool0o`3oool;0?ooo`40fMWI003o0?ooogL0oooo00<0 00000?ooo`3oool06P3ooom>0;>c/`030000003oool0oooo0580oooo00<000000?ooo`3oool0o`3o ool<0?ooo`40fMWI003o0?ooogL0oooo00<000000?ooo`3oool06P3ooom?0;>c/`030000003oool0 oooo0500oooo00<000000?ooo`3oool0o`3oool=0?ooo`40fMWI003o0?ooogL0oooo00<000000?oo o`3oool06P3ooom@0;>c/`030000003oool0oooo04h0oooo00<000000?ooo`3oool0o`3oool>0?oo o`40fMWI003o0?ooogL0oooo00<000000?ooo`3oool06P3ooomA0;>c/`030000003oool0oooo04`0 oooo00<000000?ooo`3oool0o`3oool?0?ooo`40fMWI003o0?ooogL0oooo00<000000?ooo`3oool0 6P3ooomB0;>c/`030000003oool0oooo04X0oooo00<000000?ooo`3oool0o`3oool@0?ooo`40fMWI 003o0?ooogL0oooo00<000000?ooo`3oool06P3ooomC0;>c/`030000003oool0oooo04P0oooo00<0 00000?ooo`3oool0o`3ooolA0?ooo`40fMWI003o0?ooogL0oooo00<000000?ooo`3oool06P3ooomC 0;>c/`030000002c/k<0oooo04L0oooo00<000000?ooo`3oool0o`3ooolB0?ooo`40fMWI003o0?oo ogP0oooo00<000000?ooo`3oool06@3ooomD0;>c/`030000002c/k<0oooo04D0oooo00<000000?oo o`3oool0o`3ooolC0?ooo`40fMWI003o0?ooogP0oooo00<000000?ooo`3oool06@3ooomE0;>c/`03 0000002c/k<0oooo04<0oooo00<000000?ooo`3oool0o`3ooolD0?ooo`40fMWI003o0?ooogP0oooo 00<000000?ooo`3oool06@3ooomF0;>c/`030000002c/k<0oooo0440oooo00<000000?ooo`3oool0 o`3ooolE0?ooo`40fMWI003o0?ooogP0oooo00<000000?ooo`3oool06@3ooomG0;>c/`030000002c /k<0oooo03l0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI003o0?ooogP0oooo00<00000 0?ooo`3oool06@3ooomH0;>c/`800000?P3oool00`000000oooo0?ooo`3o0?oooaL0oooo0@3IfMT0 0?l0ooooN03oool00`000000oooo0?ooo`0I0?oooeX0/k>c00<000000?ooo`3oool0>P3oool00`00 0000oooo0?ooo`3o0?oooaP0oooo0@3IfMT00?l0ooooN03oool00`000000oooo0?ooo`0I0?oooe/0 /k>c00<000000?ooo`3oool0>03oool00`000000oooo0?ooo`3o0?oooaT0oooo0@3IfMT00?l0oooo N03oool00`000000oooo0?ooo`0I0?oooe`0/k>c00<000000?ooo`3oool0=P3oool00`000000oooo 0?ooo`3o0?oooaX0oooo0@3IfMT00?l0ooooN03oool00`000000oooo0?ooo`0I0?oooed0/k>c00<0 00000?ooo`3oool0=03oool00`000000oooo0?ooo`3o0?oooa/0oooo0@3IfMT00?l0ooooN@3oool0 0`000000oooo0?ooo`0H0?oooed0/k>c00<000000;>c/`3oool0<`3oool00`000000oooo0?ooo`3o 0?oooa`0oooo0@3IfMT00?l0ooooN@3oool00`000000oooo0?ooo`0H0?oooeh0/k>c00<000000;>c /`3oool0<@3oool00`000000oooo0?ooo`3o0?oooad0oooo0@3IfMT00?l0ooooN@3oool00`000000 oooo0?ooo`0H0?oooel0/k>c00<000000;>c/`3oool0;`3oool00`000000oooo0?ooo`3o0?oooah0 oooo0@3IfMT00?l0ooooN@3oool00`000000oooo0?ooo`0H0?ooof00/k>c00<000000;>c/`3oool0 ;@3oool00`000000oooo0?ooo`3o0?oooal0oooo0@3IfMT00?l0ooooN@3oool00`000000oooo0?oo o`0H0?ooof40/k>c00<000000;>c/`3oool0:`3oool00`000000oooo0?ooo`3o0?ooob00oooo0@3I fMT00?l0ooooN@3oool00`000000oooo0?ooo`0H0?ooof80/k>c0P00000Z0?ooo`030000003oool0 oooo0?l0oooo8@3oool10=WIf@00o`3ooomi0?ooo`030000003oool0oooo01P0ooooI02c/k<00`00 0000oooo0?ooo`0V0?ooo`030000003oool0oooo0?l0oooo8P3oool10=WIf@00o`3ooomi0?ooo`03 0000003oool0oooo01P0ooooI@2c/k<00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo0?l0 oooo8`3oool10=WIf@00o`3ooomi0?ooo`030000003oool0oooo01P0ooooIP2c/k<00`000000oooo 0?ooo`0R0?ooo`030000003oool0oooo0?l0oooo903oool10=WIf@00o`3ooomi0?ooo`030000003o ool0oooo01P0ooooI`2c/k<00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo0?l0oooo9@3o ool10=WIf@00o`3ooomi0?ooo`030000003oool0oooo01P0ooooJ02c/k<00`000000oooo0?ooo`0N 0?ooo`030000003oool0oooo0?l0oooo9P3oool10=WIf@00o`3ooomi0?ooo`030000003oool0oooo 01P0ooooJ@2c/k<00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo0?l0oooo9`3oool10=WI f@00o`3ooomj0?ooo`030000003oool0oooo01L0ooooJP2c/k<00`000000oooo0?ooo`0J0?ooo`03 0000003oool0oooo0?l0oooo:03oool10=WIf@00o`3ooomj0?ooo`030000003oool0oooo00H0oooo 1D00000<0?ooof/0/k>c00<000000?ooo`3oool0603oool00`000000oooo0?ooo`3o0?ooobT0oooo 0@3IfMT00?l0ooooNP3oool00`000000oooo0?ooo`080?ooo`03@000003oool0oooo00`0ooooK02c /k<00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo0?l0oooo:P3oool10=WIf@00o`3ooomj 0?ooo`030000003oool0oooo00P0oooo00=000000?ooo`3oool0303ooom]0;>c/`030000003oool0 oooo01@0oooo00<000000?ooo`3oool0o`3oool[0?ooo`40fMWI003o0?ooogX0oooo00<000000?oo o`3oool0203oool00d000000oooo0?ooo`0<0?ooofh0/k>c00<000000?ooo`3oool04P3oool00`00 0000oooo0?ooo`3o0?ooob`0oooo0@3IfMT00?l0ooooNP3oool00`000000oooo0?ooo`080?ooo`03 @000003oool0oooo00`0ooooK`2c/k<00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo0?l0 oooo;@3oool10=WIf@00o`3ooomj0?ooo`030000003oool0oooo00P0oooo00=000000?ooo`3oool0 303ooom`0;>c/`030000003oool0oooo00h0oooo00<000000?ooo`3oool0o`3oool^0?ooo`40fMWI 003o0?ooogX0oooo00<000000?ooo`3oool01`3oool2@00000h0ooooL@2c/k<00`000000oooo0?oo o`0<0?ooo`030000003oool0oooo0?l0oooo;`3oool10=WIf@00o`3ooomj0?ooo`030000003oool0 oooo01L0ooooLP2c/k<00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo0?l0oooo<03oool1 0=WIf@00o`3ooomj0?ooo`030000003oool0oooo01L0ooooL`2c/k<00`000000oooo0?ooo`080?oo o`030000003oool0oooo0?l0oooo<@3oool10=WIf@00o`3ooomj0?ooo`030000003oool0oooo01L0 ooooM02c/k<00`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0ooooc/`030000003oool000000?l0oooo=`3oool10=WIf@00o`3ooomk0?oo o`030000003oool0oooo01H0ooooN@2c/k<00`000000oooo0?ooo`3o0?ooocH0oooo0@3IfMT00?l0 ooooN`3oool00`000000oooo0?ooo`0F0?ooogP0/k>c00<000000?ooo`3oool0o`3ooolg0?ooo`40 fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooomg0;>c/`030000003oool0oooo0?l0oooo >03oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooMP2c/k<00`000000oooo0?oo o`3o0?ooocT0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooogD0/k>c00<00000 0?ooo`3oool0o`3ooolj0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooomd0;>c /`030000003oool0oooo0?l0oooo>`3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0 ooooL`2c/k<00`000000oooo0?ooo`3o0?oooc`0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo 0?ooo`0F0?ooog80/k>c00<000000?ooo`3oool0o`3ooolm0?ooo`40fMWI003o0?ooog/0oooo00<0 00000?ooo`3oool05P3oooma0;>c/`030000003oool0oooo01l0oooo00=000000?ooo`3oool0o`3o oolL0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom`0;>c/`030000003oool0 oooo0200oooo0T00003o0?oooad0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oo ofl0/k>c00<000000?ooo`3oool06`3oool3@00000060?oood000000oooo@000003ooom00000o`3o oolL0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom^0;>c/`030000003oool0 oooo01d0oooo00A000000?ooo`3ooom00000o`3ooolP0?ooo`40fMWI003o0?ooog/0oooo00<00000 0?ooo`3oool05P3ooom]0;>c/`030000003oool0oooo01h0oooo00=000000?oood000000o`3ooolQ 0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom/0;>c/`030000003oool0oooo 0200oooo0T00003o0?ooob40oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooof/0 /k>c00<000000?ooo`3oool08@3oool00d000000oooo@00000020?ooo`06@000003oool0oooo@000 003ooom000000P3oool00d000000oooo0?ooo`3o0?oooa<0oooo0@3IfMT00?l0ooooN`3oool00`00 0000oooo0?ooo`0F0?ooofX0/k>c00<000000?ooo`3oool08@3oool2@00000050?oood0000100000 0?oood0000000P3oool00d000000oooo@00000020?ooo`900000o`3ooolD0?ooo`40fMWI003o0?oo og/0oooo00<000000?ooo`3oool05P3ooomY0;>c/`030000003oool0oooo02P0oooo0T0000020?oo o`9000000P3oool00d000000oooo@000003o0?oooa<0oooo0@3IfMT00?l0ooooN`3oool00`000000 oooo0?ooo`0F0?ooofP0/k>c00<000000?ooo`3oool0;@3oool00d000000oooo0?ooo`3o0?oooaL0 oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooofL0/k>c00<000000?ooo`3oool0 o`3ooom80?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooomV0;>c/`030000003o ool0oooo0?l0ooooB@3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooI@2c/k<0 0`000000oooo0?ooo`3o0?ooodX0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oo of@0/k>c00<000000?ooo`3oool0o`3ooom;0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3o ool05P3ooomS0;>c/`030000003oool0oooo0?l0ooooC03oool10=WIf@00o`3ooomk0?ooo`030000 003oool0oooo01H0ooooHP2c/k<00`000000oooo0?ooo`3o0?ooodd0oooo0@3IfMT00?l0ooooN`3o ool00`000000oooo0?ooo`0F0?ooof40/k>c00<000000?ooo`3oool0o`3ooom>0?ooo`40fMWI003o 0?ooog/0oooo00<000000?ooo`3oool05P3ooomP0;>c/`030000003oool0oooo0?l0ooooC`3oool1 0=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooG`2c/k<00`000000oooo0?ooo`3o0?oo oe00oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oooeh0/k>c00<000000?ooo`3o ool0o`3ooomA0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooomM0;>c/`030000 003oool0oooo0?l0ooooDP3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooG02c /k<00`000000oooo0?ooo`3o0?oooe<0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F 0?oooe/0/k>c00<000000?ooo`3oool0o`3ooomD0?ooo`40fMWI003o0?ooog/0oooo00<000000?oo o`3oool05P3ooomJ0;>c/`030000003oool0oooo0?l0ooooE@3oool10=WIf@00o`3ooomk0?ooo`03 0000003oool0oooo01H0ooooF@2c/k<00`000000oooo0?ooo`3o0?oooeH0oooo0@3IfMT00?l0oooo MP3oool5@00000030000003oool0oooo00900000103oool5@00000/0ooooF02c/k<00`000000oooo 0?ooo`3o0?oooeL0oooo0@3IfMT00?l0ooooN03oool014000000oooo0?ooo`0000080?ooo`03@000 003oool0oooo00d0ooooE`2c/k<00`000000oooo0?ooo`3o0?oooeP0oooo0@3IfMT00?l0ooooN03o ool014000000oooo0?ooo`0000090?ooo`03@000003oool0oooo00`0ooooEP2c/k<00`000000oooo 0?ooo`3o0?oooeT0oooo0@3IfMT00?l0ooooN03oool014000000oooo0?ooo`00000:0?ooo`03@000 003oool0oooo00/0ooooE@2c/k<00`000000oooo0?ooo`3o0?oooeX0oooo0@3IfMT00?l0ooooN03o ool014000000oooo0?ooo`00000;0?ooo`03@000003oool0oooo00X0ooooE02c/k<00`000000oooo 0?ooo`3o0?oooe/0oooo0@3IfMT00?l0ooooN03oool014000000oooo0?ooo`0000080?ooo`05@000 003oool0oooo0?oood0000002`3ooomC0;>c/`030000003oool0oooo0?l0ooooG03oool10=WIf@00 o`3ooomg0?ooo`9000000P3oool00`000000oooo0?ooo`070?ooo`=00000303ooomB0;>c/`030000 003oool0oooo0?l0ooooG@3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooD@2c /k<00`000000oooo0?ooo`3o0?oooeh0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F 0?oooe00/k>c00<000000?ooo`3oool0o`3ooomO0?ooo`40fMWI003o0?ooog/0oooo00<000000?oo o`3oool05P3ooom?0;>c/`030000003oool0oooo0?l0ooooH03oool10=WIf@00o`3ooomk0?ooo`03 0000003oool0oooo01H0ooooCP2c/k<00`000000oooo0?ooo`3o0?ooof40oooo0@3IfMT00?l0oooo N`3oool00`000000oooo0?ooo`0F0?ooodd0/k>c00<000000?ooo`3oool0o`3ooomR0?ooo`40fMWI 003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom<0;>c/`030000003oool0oooo0?l0ooooH`3o ool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0ooooB`2c/k<00`000000oooo0?ooo`3o 0?ooof@0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooodX0/k>c00<000000?oo o`3oool0o`3ooomU0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom90;>c/`03 0000003oool0oooo0?l0ooooIP3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo B02c/k<00`000000oooo0?ooo`3o0?ooofL0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?oo o`0F0?ooodL0/k>c00<000000?ooo`3oool0o`3ooomX0?ooo`40fMWI003o0?ooog/0oooo00<00000 0?ooo`3oool05P3ooom60;>c/`030000003oool0oooo0?l0ooooJ@3oool10=WIf@00o`3ooomk0?oo o`030000003oool0oooo01H0ooooA@2c/k<00`000000oooo0?ooo`3o0?ooofX0oooo0@3IfMT00?l0 ooooN`3oool00`000000oooo0?ooo`0F0?oood@0/k>c00<000000?ooo`3oool0o`3ooom[0?ooo`40 fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom30;>c/`030000003oool0oooo0?l0oooo K03oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo@P2c/k<00`000000oooo0?oo o`3o0?ooofd0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oood40/k>c00<00000 0?ooo`3oool0o`3ooom^0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooom00;>c /`030000003oool0oooo0?l0ooooK`3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0 oooo?`2c/k<00`000000oooo0?ooo`3o0?ooog00oooo0@3IfMT00?l0ooooN`3oool00`000000oooo 0?ooo`0F0?oooch0/k>c00<000000?ooo`3oool0o`3oooma0?ooo`40fMWI003o0?ooog/0oooo00<0 00000?ooo`3oool05P3ooolm0;>c/`030000003oool0oooo0?l0ooooLP3oool10=WIf@00o`3ooomk 0?ooo`030000003oool0oooo01H0oooo?02c/k<00`000000oooo0?ooo`3o0?ooog<0oooo0@3IfMT0 0?l0ooooN`3oool00`000000oooo0?ooo`0F0?oooc/0/k>c00<000000?ooo`3oool0o`3ooomd0?oo o`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolj0;>c/`030000003oool0oooo0?l0 ooooM@3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo>@2c/k<00`000000oooo 0?ooo`3o0?ooogH0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooocP0/k>c00<0 00000?ooo`3oool0o`3ooomg0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolg 0;>c/`030000003oool0oooo0?l0ooooN03oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo 01H0oooo=P2c/k<00`000000oooo0?ooo`3o0?ooogT0oooo0@3IfMT00?l0ooooN`3oool00`000000 oooo0?ooo`0F0?ooocD0/k>c00<000000?ooo`3oool0o`3ooomj0?ooo`40fMWI003o0?ooog/0oooo 00<000000?ooo`3oool05P3ooold0;>c/`030000003oool0oooo0?l0ooooN`3oool10=WIf@00o`3o oomk0?ooo`030000003oool0oooo01H0oooo<`2c/k<00`000000oooo0?ooo`3o0?ooog`0oooo0@3I fMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oooc80/k>c00<000000?ooo`3oool0o`3ooomm 0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooola0;>c/`030000003oool0oooo 0?l0ooooOP3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo<02c/k<00`000000 oooo0?ooo`3o0?ooogl0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?ooobl0/k>c 00<000000?ooo`3oool0o`3ooon00?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3o ool^0;>c/`030000003oool0oooo0?l0ooooP@3oool10=WIf@00o`3ooomk0?ooo`030000003oool0 oooo01H0oooo;@2c/k<00`000000oooo0?ooo`3o0?oooh80oooo0@3IfMT00?l0ooooN`3oool00`00 0000oooo0?ooo`0F0?ooob`0/k>c00<000000?ooo`3oool0o`3ooon30?ooo`40fMWI003o0?ooog/0 oooo00<000000?ooo`3oool05P3oool[0;>c/`030000003oool0oooo0?l0ooooQ03oool10=WIf@00 o`3ooomf0?ooo`E0000000<000000?ooo`3oool00T0000060?ooo`=000002`3ooolZ0;>c/`030000 003oool0oooo0?l0ooooQ@3oool10=WIf@00o`3ooomh0?ooo`04@000003oool0oooo000000/0oooo 00=000000?ooo`3oool02P3ooolY0;>c/`030000003oool0oooo0?l0ooooQP3oool10=WIf@00o`3o oomh0?ooo`04@000003oool0oooo000000P0oooo1D00000;0?ooobP0/k>c00<000000?ooo`3oool0 o`3ooon70?ooo`40fMWI003o0?ooogP0oooo00A000000?ooo`3oool00000203oool014000000oooo 0?oood00000<0?ooobL0/k>c00<000000?ooo`3oool0o`3ooon80?ooo`40fMWI003o0?ooogP0oooo 00A000000?ooo`3oool000002@3oool00d000000oooo@000000<0?ooobH0/k>c00<000000?ooo`3o ool0o`3ooon90?ooo`40fMWI003o0?ooogP0oooo00A000000?ooo`3oool000002P3oool2@00000`0 oooo9@2c/k<00`000000oooo0?ooo`3o0?ooohX0oooo0@3IfMT00?l0ooooM`3oool2@0000080oooo 00<000000?ooo`3oool02@3oool00d000000oooo0?ooo`0:0?ooob@0/k>c00<000000?ooo`3oool0 o`3ooon;0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolS0;>c/`030000003o ool0oooo0?l0ooooS03oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo8P2c/k<0 0`000000oooo0?ooo`3o0?ooohd0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oo ob40/k>c00<000000?ooo`3oool0o`3ooon>0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3o ool05P3ooolP0;>c/`030000003oool0oooo0?l0ooooS`3oool10=WIf@00o`3ooomk0?ooo`030000 003oool0oooo01H0oooo7`2c/k<00`000000oooo0?ooo`3o0?oooi00oooo0@3IfMT00?l0ooooN`3o ool00`000000oooo0?ooo`0F0?oooah0/k>c00<000000?ooo`3oool0o`3ooonA0?ooo`40fMWI003o 0?ooog/0oooo00<000000?ooo`3oool05P3ooolM0;>c/`030000003oool0oooo0?l0ooooTP3oool1 0=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo702c/k<00`000000oooo0?ooo`3o0?oo oi<0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oooa/0/k>c00<000000?ooo`3o ool0o`3ooonD0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolJ0;>c/`030000 003oool0oooo0?l0ooooU@3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo6@2c /k<00`000000oooo0?ooo`3o0?oooiH0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F 0?oooaP0/k>c00<000000?ooo`3oool0o`3ooonG0?ooo`40fMWI003o0?ooog/0oooo00<000000?oo o`3oool05P3ooolG0;>c/`030000003oool0oooo0?l0ooooV03oool10=WIf@00o`3ooomk0?ooo`03 0000003oool0oooo01H0oooo5P2c/k<00`000000oooo0?ooo`3o0?oooiT0oooo0@3IfMT00?l0oooo N`3oool00`000000oooo0?ooo`0F0?oooaD0/k>c00<000000?ooo`3oool0o`3ooonJ0?ooo`40fMWI 003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolD0;>c/`030000003oool0oooo0?l0ooooV`3o ool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo4`2c/k<00`000000oooo0?ooo`3o 0?oooi`0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?ooo`0F0?oooa80/k>c00<000000?oo o`3oool0o`3ooonM0?ooo`40fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3ooolA0;>c/`03 0000003oool0oooo0?l0ooooWP3oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo 402c/k<00`000000oooo0?ooo`3o0?oooil0oooo0@3IfMT00?l0ooooN`3oool00`000000oooo0?oo o`0F0?ooo`l0/k>c00<000000?ooo`3oool0o`3ooonP0?ooo`40fMWI003o0?ooog/0oooo00<00000 0?ooo`3oool05P3oool>0;>c/`030000003oool0oooo0?l0ooooX@3oool10=WIf@00o`3ooomk0?oo o`030000003oool0oooo01H0oooo3@2c/k<00`000000oooo0?ooo`3o0?oooj80oooo0@3IfMT00?l0 ooooN`3oool00`000000oooo0?ooo`0F0?ooo``0/k>c00<000000?ooo`3oool0o`3ooonS0?ooo`40 fMWI003o0?ooog/0oooo00<000000?ooo`3oool05P3oool;0;>c/`030000003oool0oooo0?l0oooo Y03oool10=WIf@00o`3ooomk0?ooo`030000003oool0oooo01H0oooo2P2c/k<00`000000oooo0?oo o`3o0?ooojD0oooo0@3IfMT00?l0ooooDP3oool00d000000oooo0?ooo`0V0?ooo`030000003oool0 oooo01H0oooo2@2c/k<00`000000oooo0?ooo`3o0?ooojH0oooo0@3IfMT00?l0ooooDP3oool2@000 02L0oooo00<000000?ooo`3oool05P3oool80;>c/`030000003oool0oooo0?l0ooooY`3oool10=WI f@00o`3ooolg0?ooo`=000000`3oool014000000oooo0?ooo`3oool3@00000P0oooo0d0000001P3o oom000000?oood000000oooo@00002H0oooo00<000000?ooo`3oool05P3oool70;>c/`030000003o ool0oooo0?l0ooooZ03oool10=WIf@00o`3ooolh0?ooo`03@000003oool0oooo00L0oooo00=00000 0?ooo`3oool0203oool014000000oooo0?oood00000Z0?ooo`030000003oool0oooo01H0oooo1P2c /k<00`000000oooo0?ooo`3o0?ooojT0oooo0@3IfMT00?l0oooo>03oool00d000000oooo0?ooo`07 0?ooo`03@000003oool0oooo00P0oooo00=000000?oood000000:`3oool00`000000oooo0?ooo`0F 0?ooo`D0/k>c00<000000?ooo`3oool0o`3ooonZ0?ooo`40fMWI003o0?ooocT0oooo00=000000?oo o`3oool01`3oool00d000000oooo0?ooo`080?ooo`900000:`3oool00`000000oooo0?ooo`0F0?oo o`@0/k>c00<000000?ooo`3oool0o`3ooon[0?ooo`40fMWI003o0?ooocP0oooo0T0000080?ooo`90 00002P3oool00d000000oooo@00000030?ooo`06@000003oool0oooo@000003ooom000000P3oool0 0d000000oooo0?ooo`0L0?ooo`030000003oool0oooo01H0oooo0`2c/k<00`000000oooo0?ooo`3o 0?oooj`0oooo0@3IfMT00?l0oooo>@3oool00d000000oooo0?ooo`070?ooo`03@000003oool0oooo 00L0oooo0T0000000`3ooom00000@00000020?ooo`06@000003oool0oooo@000003ooom000000P3o ool2@00001d0oooo00<000000?ooo`3oool05P3oool20;>c/`030000003oool0oooo0?l0oooo[@3o ool10=WIf@00o`3ooomD0?ooo`9000000P3oool2@0000080oooo00=000000?oood000000703oool0 0`000000oooo0?ooo`0F0?ooo`030;>c/`000000oooo0?l0oooo[`3oool10=WIf@00o`3ooomH0?oo o`03@000003oool0oooo0200oooo00=000000?ooo`3oool05P3oool00`000000oooo0?ooo`3o0?oo ojl0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo 0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT0 0?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0oooo o`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo 0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0 oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3I fMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0 ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3o oooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?oo odL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo0@3IfMT00?l0ooooo`3ooooo0?ooodL0oooo 0@3IfMT00?l0ooooT`3oool2@00000030?oood00001000000?l0oooo[P3oool10=WIf@00o`3ooonB 0?ooo`03@000003oool0oooo00900000o`3ooon_0?ooo`40fMWI003o0?oooi80oooo00E000000?oo o`3oool0oooo@000003o0?ooojl0oooo0@3IfMT00?l0ooooTP3oool01D000000oooo0?ooo`3ooom0 00000?l0oooo[`3oool10=WIf@00o`3ooonA0?ooo`9000000P3oool2@0000?l0oooo[`3oool10=WI f@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00o`3o oooo0?ooool0ooooA`3oool10=WIf@00o`3ooooo0?ooool0ooooA`3oool10=WIf@00\ \>"], ImageRangeCache->{{{0, 836}, {417.5, 0}} -> {-1.74789, -0.0991029, \ 0.00433119, 0.00433119}}], Cell["\<\ (3, 1) : \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .5 %%ImageSize: 580 290 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.5 0.31831 0 0.31831 [ [.02254 -0.0125 -15.8438 -13.8125 ] [.02254 -0.0125 15.8438 0 ] [.18169 -0.0125 -9.09375 -13.8125 ] [.18169 -0.0125 9.09375 0 ] [.34085 -0.0125 -15.8438 -13.8125 ] [.34085 -0.0125 15.8438 0 ] [.65915 -0.0125 -12.125 -13.8125 ] [.65915 -0.0125 12.125 0 ] [.81831 -0.0125 -5.375 -13.8125 ] [.81831 -0.0125 5.375 0 ] [.97746 -0.0125 -12.125 -13.8125 ] [.97746 -0.0125 12.125 0 ] [1.025 0 0 -6.90625 ] [1.025 0 10.75 6.90625 ] [.4875 .06366 -24.25 -6.90625 ] [.4875 .06366 0 6.90625 ] [.4875 .12732 -24.25 -6.90625 ] [.4875 .12732 0 6.90625 ] [.4875 .19099 -24.25 -6.90625 ] [.4875 .19099 0 6.90625 ] [.4875 .25465 -24.25 -6.90625 ] [.4875 .25465 0 6.90625 ] [.4875 .31831 -10.75 -6.90625 ] [.4875 .31831 0 6.90625 ] [.4875 .38197 -24.25 -6.90625 ] [.4875 .38197 0 6.90625 ] [.4875 .44563 -24.25 -6.90625 ] [.4875 .44563 0 6.90625 ] [.5 .525 -5.375 0 ] [.5 .525 5.375 13.8125 ] [ 0 0 0 0 ] [ 1 .5 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 0 r .25 Mabswid [ ] 0 setdash .02254 0 m .02254 .00625 L s gsave .02254 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .18169 0 m .18169 .00625 L s gsave .18169 -0.0125 -70.0938 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .34085 0 m .34085 .00625 L s gsave .34085 -0.0125 -76.8438 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (-) show 70.438 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .65915 0 m .65915 .00625 L s gsave .65915 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.5) show 1.000 setlinewidth grestore .81831 0 m .81831 .00625 L s gsave .81831 -0.0125 -66.375 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .97746 0 m .97746 .00625 L s gsave .97746 -0.0125 -73.125 -17.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.5) show 1.000 setlinewidth grestore .125 Mabswid .05437 0 m .05437 .00375 L s .0862 0 m .0862 .00375 L s .11803 0 m .11803 .00375 L s .14986 0 m .14986 .00375 L s .21352 0 m .21352 .00375 L s .24535 0 m .24535 .00375 L s .27718 0 m .27718 .00375 L s .30901 0 m .30901 .00375 L s .37268 0 m .37268 .00375 L s .40451 0 m .40451 .00375 L s .43634 0 m .43634 .00375 L s .46817 0 m .46817 .00375 L s .53183 0 m .53183 .00375 L s .56366 0 m .56366 .00375 L s .59549 0 m .59549 .00375 L s .62732 0 m .62732 .00375 L s .69099 0 m .69099 .00375 L s .72282 0 m .72282 .00375 L s .75465 0 m .75465 .00375 L s .78648 0 m .78648 .00375 L s .85014 0 m .85014 .00375 L s .88197 0 m .88197 .00375 L s .9138 0 m .9138 .00375 L s .94563 0 m .94563 .00375 L s .25 Mabswid 0 0 m 1 0 L s gsave 1.025 0 -61 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .06366 m .50625 .06366 L s gsave .4875 .06366 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.2) show 1.000 setlinewidth grestore .5 .12732 m .50625 .12732 L s gsave .4875 .12732 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.4) show 1.000 setlinewidth grestore .5 .19099 m .50625 .19099 L s gsave .4875 .19099 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.6) show 1.000 setlinewidth grestore .5 .25465 m .50625 .25465 L s gsave .4875 .25465 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 1.000 setlinewidth grestore .5 .31831 m .50625 .31831 L s gsave .4875 .31831 -71.75 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1) show 1.000 setlinewidth grestore .5 .38197 m .50625 .38197 L s gsave .4875 .38197 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 1.000 setlinewidth grestore .5 .44563 m .50625 .44563 L s gsave .4875 .44563 -85.25 -10.9063 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 1.000 setlinewidth grestore .125 Mabswid .5 .01592 m .50375 .01592 L s .5 .03183 m .50375 .03183 L s .5 .04775 m .50375 .04775 L s .5 .07958 m .50375 .07958 L s .5 .09549 m .50375 .09549 L s .5 .11141 m .50375 .11141 L s .5 .14324 m .50375 .14324 L s .5 .15915 m .50375 .15915 L s .5 .17507 m .50375 .17507 L s .5 .2069 m .50375 .2069 L s .5 .22282 m .50375 .22282 L s .5 .23873 m .50375 .23873 L s .5 .27056 m .50375 .27056 L s .5 .28648 m .50375 .28648 L s .5 .30239 m .50375 .30239 L s .5 .33423 m .50375 .33423 L s .5 .35014 m .50375 .35014 L s .5 .36606 m .50375 .36606 L s .5 .39789 m .50375 .39789 L s .5 .4138 m .50375 .4138 L s .5 .42972 m .50375 .42972 L s .5 .46155 m .50375 .46155 L s .5 .47746 m .50375 .47746 L s .5 .49338 m .50375 .49338 L s .25 Mabswid .5 0 m .5 .5 L s gsave .5 .525 -66.375 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 21.8125 translate 1 -1 scale 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 13.688 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore 0 0 m 1 0 L 1 .5 L 0 .5 L closepath clip newpath .5 Mabswid 0 0 m .02028 .00119 L .0424 .0025 L .06318 .00375 L .08316 .00497 L .10443 .00629 L .1249 .00757 L .14666 .00895 L .16762 .01031 L .18779 .01163 L .20924 .01306 L .2299 .01445 L .24976 .01582 L .27092 .01729 L .29127 .01873 L .31291 .02028 L .33376 .02181 L .35381 .0233 L .37515 .02491 L .39569 .02649 L .41752 .0282 L .43856 .02988 L .4588 .03152 L .48033 .0333 L .5 .03496 L s .5 .03496 m .51808 .03636 L .53781 .03763 L .55633 .03861 L .57415 .0394 L .59311 .0401 L .61136 .04068 L .63076 .04122 L .64945 .04167 L .66743 .04207 L .68656 .04247 L .70498 .04285 L .72269 .04321 L .74155 .0436 L .7597 .044 L .779 .04446 L .79758 .04495 L .81546 .04548 L .83449 .04611 L .8528 .04683 L .87227 .04774 L .89102 .04882 L .90907 .05012 L .92826 .05193 L .94581 .05419 L s 0 0 m .02028 .00269 L .0424 .00573 L .06318 .00867 L .08316 .01159 L .10443 .0148 L .1249 .018 L .14666 .02153 L .16762 .02506 L .18779 .0286 L .20924 .03251 L .2299 .03644 L .24976 .04038 L .27092 .04477 L .29127 .0492 L .31291 .05415 L .33376 .05917 L .35381 .06427 L .37515 .07002 L .39569 .07589 L .41752 .08254 L .43856 .0894 L .4588 .09647 L .48033 .10456 L .5 .11252 L s .5 .11252 m .51263 .1176 L .52641 .12266 L .53934 .12701 L .55179 .13086 L .56503 .13464 L .57778 .13802 L .59133 .14138 L .60438 .14444 L .61694 .14724 L .6303 .15011 L .64317 .1528 L .65554 .15533 L .66871 .15798 L .68139 .16052 L .69487 .16322 L .70785 .16584 L .72034 .16838 L .73362 .17112 L .74642 .1738 L .76001 .17672 L .77311 .17961 L .78572 .18248 L .79912 .18564 L .81137 .18863 L s 0 0 m .02028 .00369 L .0424 .00788 L .06318 .01201 L .08316 .01616 L .10443 .02079 L .1249 .02547 L .14666 .03073 L .16762 .0361 L .18779 .04157 L .20924 .04777 L .2299 .05415 L .24976 .06072 L .27092 .06826 L .29127 .07611 L .31291 .08522 L .33376 .09485 L .35381 .10505 L .37515 .11706 L .39569 .12995 L .41752 .14524 L .43856 .16164 L .4588 .17891 L .48033 .19855 L .5 .21708 L s .5 .21708 m .50758 .22402 L .51585 .2311 L .52361 .23732 L .53108 .24292 L .53902 .24852 L .54667 .25357 L .5548 .25862 L .56264 .2632 L .57017 .26736 L .57819 .27155 L .58591 .27539 L .59333 .27889 L .60124 .28246 L .60885 .28574 L .61693 .28908 L .62472 .29216 L .63222 .29501 L .64019 .29793 L .64787 .30064 L .65602 .30342 L .66389 .30602 L .67145 .30844 L .67949 .31093 L .68685 .31315 L s 0 0 m .02028 .00769 L .0424 .01688 L .06318 .02643 L .08316 .03665 L .10443 .04893 L .1249 .0625 L .14666 .0794 L .16762 .09897 L .18779 .12197 L .20924 .15244 L .2299 .18826 L .24976 .22624 L .27092 .26472 L .29127 .2961 L .31291 .32297 L .33376 .3436 L .35381 .35969 L .37515 .37374 L .39569 .38496 L .41752 .39496 L .43856 .40313 L .4588 .4099 L .48033 .41616 L .5 .42118 L s .5 .42118 m .50287 .42184 L .50599 .4225 L .50892 .42307 L .51175 .42357 L .51475 .42407 L .51764 .42452 L .52072 .42496 L .52368 .42536 L .52653 .42571 L .52956 .42607 L .53248 .42639 L .53528 .42669 L .53827 .42698 L .54114 .42725 L .5442 .42752 L .54715 .42777 L .54998 .428 L .55299 .42823 L .5559 .42844 L .55898 .42865 L .56195 .42884 L .56481 .42903 L .56785 .42921 L .57063 .42937 L s gsave .62732 .44563 -76.4063 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 89.813 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .76101 .32786 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.4) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .88197 .2069 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (1.2) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .85651 .07003 -81.9688 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (0.8) show 100.938 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore .5 .5 m 1 0 L s 0 0 m 0 .5 L .5 .5 L 1 0 L s gsave .18169 .48383 -77 -10.3125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 20.625 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique %%IncludeFont: Courier-Oblique %%BeginResource: font Courier-Oblique-MISO %%BeginFont: Courier-Oblique-MISO /Courier-Oblique /Courier-Oblique-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (K) show 68.563 14.438 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 6.375 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 73.125 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 78.688 13.000 moveto (-) show 84.250 13.000 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (\\245) show 91.000 13.000 moveto %%IncludeResource: font Courier-Oblique-MISO %%IncludeFont: Courier-Oblique-MISO /Courier-Oblique-MISO findfont 9.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .68462 .22282 -83.4063 -14.25 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.5 translate 1 -1 scale /MISOfy { /newfontname exch def /oldfontname exch def oldfontname findfont dup length dict begin {1 index /FID ne {def} {pop pop} ifelse} forall /Encoding WindowsANSIEncoding def currentdict end newfontname exch definefont pop } def 63.000 16.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier %%BeginResource: font Courier-MISO %%BeginFont: Courier-MISO /Courier /Courier-MISO MISOfy %%EndFont %%EndResource %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 69.750 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (+) show 76.500 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 83.250 16.438 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (=) show 93.500 9.813 moveto %%IncludeResource: font Math1Mono %%IncludeFont: Math1Mono /Math1Mono findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (p) show 92.000 16.438 moveto (\\200\\200) show 96.750 16.438 moveto (\\200) show 99.188 16.438 moveto (\\200) show 93.500 23.500 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (2) show 103.813 16.438 moveto %%IncludeResource: font Courier-MISO %%IncludeFont: Courier-MISO /Courier-MISO findfont 11.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{838, 419}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, FontSize->24, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHg0?ooo`05@000003oool0oooo 0?oood0000003@3oool00d000000oooo0?ooo`1W0?ooo`03@000003oool0oooo06X0oooo00=00000 0?ooo`3oool03@3oool00d000000oooo0?ooo`1;0?ooo`40fMWI000e0?ooo`03@000003oool0oooo 00X0oooo0d00001[0?ooo`03@000003oool0oooo06P0oooo00E000000?ooo`3oool0oooo@000000: 0?ooo`=00000d@3oool01D000000oooo0?ooo`3ooom0000000X0oooo0d00001Z0?ooo`03@000003o ool0oooo06X0oooo00=000000?ooo`3oool02P3oool3@00004h0oooo0@3IfMT003D0oooo00=00000 0?ooo`3oool02P3oool00d000000oooo0?ooo`1[0?ooo`03@000003oool0oooo06P0oooo00E00000 0?ooo`3oool0oooo@000000:0?ooo`03@000003oool0oooo0=40oooo00E000000?ooo`3oool0oooo @000000:0?ooo`03@000003oool0oooo06X0oooo00=000000?ooo`3oool0JP3oool00d000000oooo 0?ooo`0:0?ooo`03@000003oool0oooo04h0oooo0@3IfMT003D0oooo00=000000?ooo`3oool02P3o ool00d000000oooo0?ooo`1[0?ooo`03@000003oool0oooo06P0oooo00E000000?ooo`3oool0oooo @000000:0?ooo`03@000003oool0oooo0=40oooo00E000000?ooo`3oool0oooo@000000:0?ooo`03 @000003oool0oooo06X0oooo00=000000?ooo`3oool0JP3oool00d000000oooo0?ooo`0:0?ooo`03 @000003oool0oooo04h0oooo0@3IfMT003@0oooo0T00000<0?ooo`A00000J@3oool2@00006/0oooo 0d00000;0?ooo`A00000d@3oool3@00000/0oooo1400001X0?ooo`900000J`3oool2@00000`0oooo 1400001=0?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom8 0?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40 fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o 0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0 ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooolH0?ooo`900000;P3oool10=WIf@00:03o oooo00000?l00000f@0000000d000000oooo0?ooo`0C0?ooo`03@000003ooom0000002d0oooo0@3I fMT002P0oooo00<000000?ooo`0000005000000A0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool05@3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool05@3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<00000 0?ooo`3oool0503oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo01<0oooo00A00000 0?ooo`3ooom00000;@3oool10=WIf@00:03oool010000000oooo0?ooo`3oool3000000030?ooo`00 0000000000P000001@3oool@000000030?ooo`000000oooo01D0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0503o ool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01@0oooo00E000000?ooo`3oool0oooo @000000/0?ooo`40fMWI000X0?ooo`030000003oool0oooo00@0oooo0P0000040?ooo`X00000403o ool?000000T0oooo00=000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00<000000?ooo`3oool0503oool00d000000oooo0?ooo`0E0?ooo`03@000003o ool0oooo01@0oooo00=000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`030000003o ool0oooo01@0oooo00=000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00=000000?ooo`3oool05@3oool00`000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00=000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00<000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00=000000?ooo`3oool05@3oool00d000000oooo0?ooo`0D0?ooo`030000003o ool0oooo01@0oooo00=000000?ooo`3oool0503oool00d000000oooo0?ooo`0D0?ooo`03@000003o ool0oooo01@0oooo00=000000?ooo`3oool0503oool00`000000oooo0?ooo`0;0?ooo`030000003o ool0oooo01@0oooo0d000000103ooom00000@0000400000[0?ooo`40fMWI000X0?ooo`030000003o ool0oooo00H0oooo0`0000050?ooo``000006@3oool?000003l0oooo00<000000?ooo`3oool0L@3o ool00`000000oooo0?ooo`1a0?ooo`030000003oool0oooo0700oooo00<000000?ooo`3oool0L@3o ool00`000000oooo0?ooo`1`0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0A`3o ool10=WIf@00:03oool00`000000oooo0?ooo`090?ooo`8000000`3oool00d000000oooo0?ooo`03 0?ooo``000008P3oool?00000300oooo00=000000?ooo`3oool0L@3oool00d000000oooo0?ooo`1a 0?ooo`030000003oool0oooo0700oooo00=000000?ooo`3oool0L@3oool00d000000oooo0?ooo`1` 0?ooo`03@000003oool0oooo00T0oooo00<000000?ooo`3oool0B03oool10=WIf@00:03oool00`00 0000oooo0?ooo`0;0?ooo`<00000303oool5000000030?ooo`000000000000H00000:@3oool?0000 0?l0oooo2P3oool00`000000oooo0?ooo`3o0?ooof<0oooo00<000000?ooo`3oool0B@3oool10=WI f@00:03oool00`000000oooo0?ooo`0>0?ooo`8000003`3oool5000000@0oooo1`00000a0?oooa00 0000n@3oool00`000000oooo0?ooo`3o0?ooof80oooo00<000000?ooo`3oool0BP3oool10=WIf@00 :03oool00`000000oooo0?ooo`0@0?ooo`8000004P3oool5000000H0oooo2000000i0?ooo`l00000 jP3oool00`000000oooo0?ooo`3o0?ooof40oooo00<000000?ooo`3oool0B`3oool10=WIf@00:03o ool00`000000oooo0?ooo`0B0?ooo`8000005@3oool5000000T0oooo1`0000110?ooo`l00000f`3o ool00`000000oooo0?ooo`3o0?ooof00oooo00<000000?ooo`3oool0C03oool10=WIf@00:03oool0 0`000000oooo0?ooo`0D0?ooo`<000005`3oool5000000/0oooo200000180?ooo`l00000c03oool0 0`000000oooo0?ooo`3o0?oooel0oooo00<000000?ooo`3oool0C@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`0G0?ooo`8000006P3oool5000000h0oooo1`00001@0?ooo`l00000_@3oool00`00 0000oooo0?ooo`3o0?oooeh0oooo00<000000?ooo`3oool0CP3oool10=WIf@00:03oool00`000000 oooo0?ooo`0I0?ooo`8000007@3oool500000100oooo2000001G0?ooo`l00000[P3oool200000003 @000003oool0oooo0?l0ooooF`3oool00`000000oooo0?ooo`1?0?ooo`40fMWI000X0?ooo`030000 003oool0oooo01/0oooo0`00000O0?ooo`D000004`3oool600000600oooo3`00002O0?ooo`030000 003oool0oooo0?l0ooooG03oool00`000000oooo0?ooo`1@0?ooo`40fMWI000X0?ooo`030000003o ool0oooo01h0oooo0P00000R0?ooo`D00000503oool5000006X0oooo3`00002@0?ooo`030000003o ool0oooo0?l0ooooF`3oool00`000000oooo0?ooo`1A0?ooo`40fMWI000X0?ooo`030000003oool0 oooo0200oooo0P00000U0?ooo`@000005@3oool6000007<0oooo400000200?ooo`030000003oool0 oooo0?l0ooooFP3oool00`000000oooo0?ooo`1B0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0280oooo0P00000W0?ooo`@000005`3oool5000007h0oooo3P00001b0?ooo`030000003oool0oooo 0?l0ooooF@3oool00`000000oooo0?ooo`1C0?ooo`40fMWI000X0?ooo`030000003oool0oooo02@0 oooo0P00000Y0?ooo`@00000603oool5000008L0oooo3`00001S0?ooo`030000003oool0oooo0?l0 ooooF03oool00`000000oooo0?ooo`1D0?ooo`40fMWI000X0?ooo`030000003oool0oooo02H0oooo 0P00000[0?ooo`@000006@3oool500000940oooo3000001G0?ooo`030000003oool0oooo0?l0oooo E`3oool00`000000oooo0?ooo`1E0?ooo`40fMWI000X0?ooo`030000003oool0oooo02P0oooo0P00 000]0?ooo`<000006`3oool6000009L0oooo2000001?0?ooo`030000003oool0oooo0?l0ooooEP3o ool00`000000oooo0?ooo`1F0?ooo`40fMWI000X0?ooo`030000003oool0oooo02X0oooo0`00000] 0?ooo`@000007@3oool8000009L0oooo2`0000140?ooo`030000003oool0oooo0?l0ooooE@3oool0 0`000000oooo0?ooo`1G0?ooo`40fMWI000X0?ooo`030000003oool0oooo02d0oooo0P00000_0?oo o`@000008@3oool6000009`0oooo4000000d0?ooo`030000003oool0oooo0?l0ooooE03oool00`00 0000oooo0?ooo`1H0?ooo`40fMWI000X0?ooo`030000003oool0oooo02l0oooo0P00000a0?ooo`@0 00008`3oool500000:L0oooo3`00000U0?ooo`030000003oool0oooo0?l0ooooD`3oool00`000000 oooo0?ooo`1I0?ooo`40fMWI000X0?ooo`030000003oool0oooo0340oooo0P00000c0?ooo`@00000 903oool500000;40oooo2`00000J0?ooo`030000003oool0oooo0?l0ooooDP3oool00`000000oooo 0?ooo`1J0?ooo`40fMWI000X0?ooo`030000003oool0oooo03<0oooo0P00000e0?ooo`@000009@3o ool500000;L0oooo2000000B0?ooo`80000000=000000?ooo`3oool0o`3ooom?0?ooo`030000003o ool0oooo05/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0=@3oool2000003L0oooo1000000V 0?ooo`D00000^P3oool;000000L0oooo00<000000?ooo`3oool0o`3ooom@0?ooo`030000003oool0 oooo05`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0=`3oool2000003T0oooo1000000W0?oo o`D00000`03oool>00000?l0ooooB`3oool00`000000oooo0?ooo`1M0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo03T0oooo0P00000k0?ooo`<00000:@3oool500000<80oooo00<000000?ooo`3o ool0103oool=00000?l0oooo?@3oool00`000000oooo0?ooo`1N0?ooo`40fMWI000X0?ooo`030000 003oool0oooo03/0oooo0P00000l0?ooo`@00000:P3oool500000;d0oooo00<000000?ooo`3oool0 4@3ooolK00000?l0oooo8@3oool00`000000oooo0?ooo`1O0?ooo`40fMWI000X0?ooo`030000003o ool0oooo03d0oooo0P00000n0?ooo`@00000:`3oool500000;P0oooo00<000000?ooo`3oool0;03o ool=00000?l0oooo4`3oool00`000000oooo0?ooo`1P0?ooo`40fMWI000X0?ooo`030000003oool0 oooo03l0oooo00<000000?ooo`3oool0?`3oool4000002`0oooo1@00002c0?ooo`030000003oool0 oooo03T0oooo:P00003W0?ooo`030000003oool0oooo0640oooo0@3IfMT002P0oooo00<000000?oo o`3oool0@03oool2000004<0oooo0`00000^0?ooo`D00000[P3oool00`000000oooo0?ooo`1S0?oo obP00000_P3oool00`000000oooo0?ooo`1R0?ooo`40fMWI000X0?ooo`030000003oool0oooo0480 oooo0P0000140?ooo`@00000;`3oool500000:T0oooo00<000000?ooo`3oool0R`3ooole000008P0 oooo00<000000?ooo`3oool0H`3oool10=WIf@00:03oool00`000000oooo0?ooo`140?ooo`030000 003oool0oooo04D0oooo1000000`0?ooo`D00000Y03oool00`000000oooo0?ooo`300?ooobT00000 GP3oool00`000000oooo0?ooo`1T0?ooo`40fMWI000X0?ooo`030000003oool0oooo04D0oooo0P00 00190?ooo`@00000<@3oool5000009l0oooo00<000000?ooo`3oool0j@3ooolK00000480oooo00<0 00000?ooo`3oool0I@3oool10=WIf@00:03oool00`000000oooo0?ooo`170?ooo`800000B`3oool3 000003<0oooo1@00002J0?ooo`80000000=000000?ooo`3oool0o`3oool30?ooo`h00000<`3oool0 0`000000oooo0?ooo`1V0?ooo`40fMWI000X0?ooo`030000003oool0oooo04T0oooo00<000000?oo o`3oool0B`3oool3000003D0oooo1000002F0?ooo`030000003oool0oooo0?l0oooo4`3oool>0000 02@0oooo00<000000?ooo`3oool0I`3oool10=WIf@00:03oool00`000000oooo0?ooo`1:0?ooo`80 0000CP3oool3000003H0oooo1000002B0?ooo`030000003oool0oooo0?l0oooo8@3oool=000001H0 oooo00<000000?ooo`3oool0J03oool10=WIf@00:03oool00`000000oooo0?ooo`1<0?ooo`030000 003oool0oooo04h0oooo0`00000g0?ooo`@00000SP3oool00`000000oooo0?ooo`3o0?ooobh0oooo 2P00000;0?ooo`030000003oool0oooo06T0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0C@3o ool200000540oooo0`00000h0?ooo`@00000RP3oool00`000000oooo0?ooo`3o0?ooocP0oooo1P00 00040?ooo`030000003oool0oooo06X0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0C`3oool0 0`000000oooo0?ooo`1A0?ooo`<00000>@3oool5000008D0oooo00<000000?ooo`3oool0o`3oooln 0?ooo`@00000K@3oool10=WIf@00:03oool00`000000oooo0?ooo`1@0?ooo`800000E03oool40000 03X0oooo1@0000200?ooo`030000003oool0oooo0?l0oooo@03oool00`000000oooo0?ooo`1/0?oo o`40fMWI000X0?ooo`030000003oool0oooo0580oooo00<000000?ooo`3oool0E@3oool4000003/0 oooo1@00001k0?ooo`030000003oool0oooo0?l0oooo?`3oool00`000000oooo0?ooo`1]0?ooo`40 fMWI000X0?ooo`030000003oool0oooo05<0oooo0P00001I0?ooo`@00000?03oool4000007L0oooo 00<000000?ooo`3oool0o`3oooln0?ooo`030000003oool0oooo06h0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0E@3oool00`000000oooo0?ooo`1J0?ooo`<00000?@3oool4000007<0oooo00<0 00000?ooo`3oool0o`3ooolm0?ooo`030000003oool0oooo06l0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0EP3oool2000005d0oooo0P00000o0?ooo`<00000DP3oool3@00000@0oooo0T000004 0?ooo`E00000303oool00`000000oooo0?ooo`3o0?oooc`0oooo00<000000?ooo`3oool0L03oool1 0=WIf@00:03oool00`000000oooo0?ooo`1H0?ooo`030000003oool0oooo05`0oooo0`00000o0?oo o`@00000C@3oool01D000000oooo0?ooo`3ooom0000000T0oooo00=000000?ooo`3oool03P3oool0 0`000000oooo0?ooo`3o0?oooc/0oooo00<000000?ooo`3oool0L@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`1I0?ooo`030000003oool0oooo05h0oooo0P0000110?ooo`<00000BP3oool01D00 0000oooo0?ooo`3ooom0000000X0oooo00=000000?ooo`3oool03@3oool400000003@000003oool0 oooo0?l0oooo=P3oool00`000000oooo0?ooo`1b0?ooo`40fMWI000X0?ooo`030000003oool0oooo 05X0oooo0P00001P0?ooo`<00000@@3oool4000004H0oooo00E000000?ooo`3oool0oooo@000000; 0?ooo`03@000003oool0oooo00`0oooo00<000000?ooo`3oool0l`3oool00d000000oooo0?ooo`12 0?ooo`030000003oool0oooo07<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0G03oool00`00 0000oooo0?ooo`1P0?ooo`800000@`3oool400000480oooo00E000000?ooo`3oool0oooo@000000< 0?ooo`03@000003oool0oooo00/0oooo00<000000?ooo`3oool0l`3oool2@0000480oooo00<00000 0?ooo`3oool0M03oool10=WIf@00:03oool00`000000oooo0?ooo`1M0?ooo`030000003oool0oooo 0640oooo0`0000140?ooo`@00000?P3oool01D000000oooo0?ooo`3ooom0000000T0oooo00E00000 0?ooo`3oool0oooo@000000<0?ooo`030000003oool0oooo0>d0oooo0d0000001P3ooom000000?oo od000000oooo@0000080oooo140000080?ooo`9000000`3oool014000000oooo0?ooo`3oool2@000 02L0oooo00<000000?ooo`3oool0M@3oool10=WIf@00:03oool00`000000oooo0?ooo`1N0?ooo`80 0000I03oool2000004H0oooo1000000k0?ooo`=000002`3oool3@00000d0oooo00<000000?ooo`3o ool0kP3oool014000000oooo0?oood00000;0?ooo`A000000P3oool00d000000oooo@00000070?oo o`03@000003ooom0000002D0oooo00<000000?ooo`3oool0MP3oool10=WIf@00:03oool00`000000 oooo0?ooo`1P0?ooo`030000003oool0oooo06<0oooo0`0000170?ooo`<00000EP3oool00`000000 oooo0?ooo`3^0?ooo`03@000003ooom0000000L0oooo140000070?ooo`04@000003oool0oooo@000 00H0oooo00=000000?oood000000903oool00`000000oooo0?ooo`1g0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo0640oooo00<000000?ooo`3oool0I@3oool2000004P0oooo0`00001C0?ooo`03 0000003oool0oooo0>l0oooo0T00000B0?ooo`04@000003oool0oooo@00000L0oooo0T00000S0?oo o`030000003oool0oooo07P0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0HP3oool2000006L0 oooo0`0000180?ooo`<00000D03oool00`000000oooo0?ooo`3_0?ooo`03@000003ooom000000180 oooo00=000000?oood0000001`3oool00d000000oooo@000000Q0?ooo`030000003oool0oooo07T0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0I03oool00`000000oooo0?ooo`1W0?ooo`800000 B@3oool3000004d0oooo00<000000?ooo`3oool0kP3oool2@00000030?oood00001000000140oooo 0T0000090?ooo`900000803oool00`000000oooo0?ooo`1j0?ooo`40fMWI000X0?ooo`030000003o ool0oooo06D0oooo00<000000?ooo`3oool0J03oool3000004T0oooo0`00001:0?ooo`030000003o ool0oooo0?l0oooo<@3oool00`000000oooo0?ooo`1k0?ooo`40fMWI000X0?ooo`030000003oool0 oooo06H0oooo0P00001[0?ooo`800000BP3oool4000004H0oooo00<000000?ooo`3oool0o`3oool` 0?ooo`030000003oool0oooo07`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0J03oool00`00 0000oooo0?ooo`1Z0?ooo`<00000B`3oool400000480oooo0P0000000d000000oooo0?ooo`3o0?oo obd0oooo00<000000?ooo`3oool0O@3oool10=WIf@00:03oool00`000000oooo0?ooo`1Y0?ooo`03 0000003oool0oooo06`0oooo0`00001<0?ooo`@00000?P3oool00`000000oooo0?ooo`3o0?ooobh0 oooo00<000000?ooo`3oool0OP3oool10=WIf@00:03oool00`000000oooo0?ooo`1Z0?ooo`030000 003oool0oooo06h0oooo0P00001>0?ooo`@00000>P3oool00`000000oooo0?ooo`3o0?ooobd0oooo 00<000000?ooo`3oool0O`3oool10=WIf@00:03oool00`000000oooo0?ooo`1[0?ooo`030000003o ool0oooo06l0oooo0`00001?0?ooo`<00000=`3oool00`000000oooo0?ooo`3o0?ooob`0oooo00<0 00000?ooo`3oool0P03oool10=WIf@00:03oool00`000000oooo0?ooo`1/0?ooo`030000003oool0 oooo0740oooo0`00001?0?ooo`<00000=03oool00`000000oooo0?ooo`3o0?ooob/0oooo00<00000 0?ooo`3oool0P@3oool10=WIf@00:03oool00`000000oooo0?ooo`1]0?ooo`030000003oool0oooo 07<0oooo0P00001@0?ooo`<00000<@3oool00`000000oooo0?ooo`3o0?ooobX0oooo00<000000?oo o`3oool0PP3oool10=WIf@00:03oool00`000000oooo0?ooo`1^0?ooo`030000003oool0oooo07@0 oooo0P00001A0?ooo`<00000;P3oool00`000000oooo0?ooo`3o0?ooobT0oooo00<000000?ooo`3o ool0P`3oool10=WIf@00:03oool00`000000oooo0?ooo`1_0?ooo`800000MP3oool200000580oooo 0`00000[0?ooo`030000003oool0oooo0?l0oooo:03oool00`000000oooo0?ooo`240?ooo`40fMWI 000X0?ooo`030000003oool0oooo0740oooo00<000000?ooo`3oool0M@3oool2000005<0oooo0`00 000X0?ooo`030000003oool0oooo0?l0oooo9`3oool00`000000oooo0?ooo`250?ooo`40fMWI000X 0?ooo`030000003oool0oooo0780oooo00<000000?ooo`3oool0MP3oool2000005@0oooo0`00000U 0?ooo`030000003oool0oooo0?l0oooo9P3oool00`000000oooo0?ooo`260?ooo`40fMWI000X0?oo o`030000003oool0oooo07<0oooo00<000000?ooo`3oool0M`3oool2000005D0oooo0`00000R0?oo o`030000003oool0oooo0?l0oooo9@3oool00`000000oooo0?ooo`270?ooo`40fMWI000X0?ooo`03 0000003oool0oooo07@0oooo00<000000?ooo`3oool0N03oool2000005H0oooo0`00000O0?ooo`03 0000003oool0oooo0?l0oooo903oool00`000000oooo0?ooo`280?ooo`40fMWI000X0?ooo`030000 003oool0oooo07D0oooo00<000000?ooo`3oool0N@3oool2000005L0oooo0`00000L0?ooo`800000 00=000000?ooo`3oool0o`3ooolQ0?ooo`030000003oool0oooo08T0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0MP3oool00`000000oooo0?ooo`1j0?ooo`800000F03oool2000001X0oooo00<0 00000?ooo`3oool0o`3ooolR0?ooo`030000003oool0oooo08X0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0M`3oool00`000000oooo0?ooo`1k0?ooo`800000F03oool3000001L0oooo00<00000 0?ooo`3oool0o`3ooolQ0?ooo`030000003oool0oooo08/0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0N03oool00`000000oooo0?ooo`1l0?ooo`030000003oool0oooo05P0oooo0P00000E0?oo o`030000003oool0oooo0?l0oooo803oool00`000000oooo0?ooo`2<0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo07T0oooo00<000000?ooo`3oool0O03oool2000005X0oooo0`00000B0?ooo`03 0000003oool0oooo0?l0oooo7`3oool00`000000oooo0?ooo`2=0?ooo`40fMWI000X0?ooo`030000 003oool0oooo07X0oooo00<000000?ooo`3oool0O@3oool2000005/0oooo0P00000@0?ooo`030000 003oool0oooo0?l0oooo7P3oool00`000000oooo0?ooo`2>0?ooo`40fMWI000X0?ooo`030000003o ool0oooo07/0oooo00<000000?ooo`3oool0OP3oool2000005/0oooo0`00000=0?ooo`030000003o ool0oooo0?l0oooo7@3oool00`000000oooo0?ooo`2?0?ooo`40fMWI000X0?ooo`030000003oool0 oooo07/0oooo00<000000?ooo`3oool0P03oool00`000000oooo0?ooo`1K0?ooo`8000002`3oool0 0`000000oooo0?ooo`3o0?oooa`0oooo00<000000?ooo`3oool0T03oool10=WIf@00:03oool00`00 0000oooo0?ooo`1l0?ooo`030000003oool0oooo0800oooo0P00001M0?ooo`<00000203oool00`00 0000oooo0?ooo`3o0?oooa/0oooo00<000000?ooo`3oool0T@3oool10=WIf@00:03oool00`000000 oooo0?ooo`1m0?ooo`030000003oool0oooo0840oooo0P00001N0?ooo`8000001P3oool00`000000 oooo0?ooo`3o0?oooaX0oooo00<000000?ooo`3oool0TP3oool10=WIf@00:03oool00`000000oooo 0?ooo`1n0?ooo`030000003oool0oooo0880oooo0P00001N0?ooo`<000000`3oool00`000000oooo 0?ooo`3o0?oooaT0oooo00<000000?ooo`3oool0T`3oool10=WIf@00:03oool00`000000oooo0?oo o`1o0?ooo`030000003oool0oooo08<0oooo0P00001O0?ooo`80000000@0oooo0000000000100000 o`3ooolH0?ooo`030000003oool0oooo09@0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0P03o ool00`000000oooo0?ooo`240?ooo`800000G`3oool300000?l0oooo603oool00`000000oooo0?oo o`2E0?ooo`40fMWI000X0?ooo`030000003oool0oooo0840oooo00<000000?ooo`3oool0Q@3oool2 000005h0oooo00@000000?ooo`0000000000o`3ooolE0?ooo`030000003oool0oooo09H0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0PP3oool00`000000oooo0?ooo`260?ooo`800000G03oool0 10000000oooo0?ooo`3oool200000?l0oooo4P3oool00`000000oooo0?ooo`2G0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0880oooo00<000000?ooo`3oool0R03oool2000005X0oooo00<00000 0?ooo`3oool00`3oool200000?l0oooo3`3oool00`000000oooo0?ooo`2H0?ooo`40fMWI000X0?oo o`030000003oool0oooo08<0oooo00<000000?ooo`3oool0R@3oool2000005P0oooo00<000000?oo o`3oool01@3oool300000?l0oooo2`3oool00`000000oooo0?ooo`2I0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo08@0oooo00<000000?ooo`3oool0RP3oool00`000000oooo0?ooo`1E0?ooo`03 0000003oool0oooo00P0oooo0`00003o0?ooo`L0oooo00<000000?ooo`3oool0VP3oool10=WIf@00 :03oool00`000000oooo0?ooo`250?ooo`030000003oool0oooo08X0oooo0P00001E0?ooo`030000 003oool0oooo00/0oooo1000003o0?ooo`80oooo00<000000?ooo`3oool0V`3oool10=WIf@00:03o ool00`000000oooo0?ooo`260?ooo`030000003oool0oooo08/0oooo00<000000?ooo`3oool0DP3o ool00`000000oooo0?ooo`0?0?ooo`<00000o@3oool00`000000oooo0?ooo`2L0?ooo`40fMWI000X 0?ooo`030000003oool0oooo08L0oooo00<000000?ooo`3oool0R`3oool200000580oooo00<00000 0?ooo`3oool04P3oool200000?X0oooo00<000000?ooo`3oool0W@3oool10=WIf@00:03oool00`00 0000oooo0?ooo`270?ooo`030000003oool0oooo08d0oooo00<000000?ooo`3oool0<@3oool3@000 00@0oooo0T0000060?ooo`=00000303oool00`000000oooo0?ooo`0D0?ooo`800000m`3oool00`00 0000oooo0?ooo`2N0?ooo`40fMWI000X0?ooo`030000003oool0oooo08P0oooo00<000000?ooo`3o ool0S@3oool200000300oooo00E000000?ooo`3oool0oooo@000000<0?ooo`03@000003oool0oooo 00/0oooo00<000000?ooo`3oool05P3oool200000?@0oooo00<000000?ooo`3oool0W`3oool10=WI f@00:03oool00`000000oooo0?ooo`290?ooo`030000003oool0oooo08h0oooo00<000000?ooo`3o ool0;@3oool01D000000oooo0?ooo`3ooom0000000T0oooo1D00000<0?ooo`@0000000=000000?oo o`3oool0503oool400000>l0oooo00<000000?ooo`3oool0X03oool10=WIf@00:03oool00`000000 oooo0?ooo`290?ooo`030000003oool0oooo08l0oooo0P00000]0?ooo`05@000003oool0oooo0?oo od0000002@3oool014000000oooo0?oood00000=0?ooo`030000003oool0oooo01`0oooo1000003Z 0?ooo`030000003oool0oooo0:40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0RP3oool00`00 0000oooo0?ooo`2@0?ooo`030000003oool0oooo02X0oooo00E000000?ooo`3oool0oooo@000000: 0?ooo`03@000003ooom0000000d0oooo00<000000?ooo`3oool0803oool400000>D0oooo00<00000 0?ooo`3oool0XP3oool10=WIf@00:03oool00`000000oooo0?ooo`2;0?ooo`030000003oool0oooo 0900oooo0P00000Z0?ooo`05@000003oool0oooo0?oood0000002`3oool2@00000d0oooo00<00000 0?ooo`3oool0903oool300000>40oooo00<000000?ooo`3oool0X`3oool10=WIf@00:03oool00`00 0000oooo0?ooo`2;0?ooo`030000003oool0oooo0980oooo00<000000?ooo`3oool0:03oool3@000 00d0oooo00=000000?ooo`3oool02`3oool00`000000oooo0?ooo`0W0?ooo`@00000g03oool00`00 0000oooo0?ooo`2T0?ooo`40fMWI000X0?ooo`030000003oool0oooo08`0oooo00<000000?ooo`3o ool0TP3oool2000004H0oooo00<000000?ooo`3oool0:`3oool300000=P0oooo00<000000?ooo`3o ool0Y@3oool10=WIf@00:03oool00`000000oooo0?ooo`2=0?ooo`030000003oool0oooo09<0oooo 00<000000?ooo`3oool0@`3oool00`000000oooo0?ooo`0^0?ooo`<00000e03oool00`000000oooo 0?ooo`2V0?ooo`40fMWI000X0?ooo`030000003oool0oooo08h0oooo00<000000?ooo`3oool0T`3o ool00`000000oooo0?ooo`120?ooo`030000003oool0oooo0340oooo0`00003@0?ooo`030000003o ool0oooo0:L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0SP3oool00`000000oooo0?ooo`2D 0?ooo`800000@P3oool00`000000oooo0?ooo`0d0?ooo`@00000b`3oool00`000000oooo0?ooo`2X 0?ooo`40fMWI000X0?ooo`030000003oool0oooo08l0oooo00<000000?ooo`3oool0U@3oool00`00 0000oooo0?ooo`0o0?ooo`030000003oool0oooo03P0oooo1@0000350?ooo`030000003oool0oooo 0:T0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0T03oool00`000000oooo0?ooo`2E0?ooo`80 0000?`3oool00`000000oooo0?ooo`0m0?ooo`D00000_`3oool00`000000oooo0?ooo`2Z0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0900oooo00<000000?ooo`3oool0U`3oool00`000000oooo 0?ooo`0l0?ooo`80000000=000000?ooo`3oool0@03oool400000;X0oooo00<000000?ooo`3oool0 Z`3oool10=WIf@00:03oool00`000000oooo0?ooo`2A0?ooo`030000003oool0oooo09L0oooo0P00 000l0?ooo`030000003oool0oooo04H0oooo1@00002d0?ooo`030000003oool0oooo0:`0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0TP3oool00`000000oooo0?ooo`2H0?ooo`030000003oool0 oooo03T0oooo00<000000?ooo`3oool0B`3oool400000:l0oooo00<000000?ooo`3oool0[@3oool1 0=WIf@00:03oool00`000000oooo0?ooo`2B0?ooo`030000003oool0oooo09T0oooo00<000000?oo o`3oool0>03oool00`000000oooo0?ooo`1?0?ooo`D00000Z@3oool00`000000oooo0?ooo`2^0?oo o`40fMWI000X0?ooo`030000003oool0oooo09<0oooo00<000000?ooo`3oool0V@3oool2000003P0 oooo00<000000?ooo`3oool0E03oool500000:<0oooo00<000000?ooo`3oool0[`3oool10=WIf@00 :03oool00`000000oooo0?ooo`2D0?ooo`030000003oool0oooo09X0oooo00<000000?ooo`3oool0 =@3oool00`000000oooo0?ooo`1I0?ooo`D00000W@3oool00`000000oooo0?ooo`2`0?ooo`40fMWI 000X0?ooo`030000003oool0oooo09@0oooo00<000000?ooo`3oool0V`3oool00`000000oooo0?oo o`0d0?ooo`030000003oool0oooo05h0oooo1@00002G0?ooo`030000003oool0oooo0;40oooo0@3I fMT002P0oooo00<000000?ooo`3oool0U@3oool00`000000oooo0?ooo`2K0?ooo`030000003oool0 oooo03<0oooo00<000000?ooo`3oool0H`3oool500000940oooo00<000000?ooo`3oool0/P3oool1 0=WIf@00:03oool00`000000oooo0?ooo`2F0?ooo`030000003oool0oooo09/0oooo0P00000c0?oo o`030000003oool0oooo06P0oooo1000002<0?ooo`030000003oool0oooo0;<0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0UP3oool00`000000oooo0?ooo`2M0?ooo`030000003oool0oooo0300 oooo00<000000?ooo`3oool0K03oool5000008H0oooo00<000000?ooo`3oool0]03oool10=WIf@00 :03oool00`000000oooo0?ooo`2G0?ooo`030000003oool0oooo09d0oooo00<000000?ooo`3oool0 ;`3oool00`000000oooo0?ooo`1a0?ooo`@00000P@3oool00`000000oooo0?ooo`2e0?ooo`40fMWI 000X0?ooo`030000003oool0oooo09L0oooo00<000000?ooo`3oool0WP3oool00`000000oooo0?oo o`0^0?ooo`030000003oool0oooo07D0oooo1@00001k0?ooo`030000003oool0oooo0;H0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0V03oool00`000000oooo0?ooo`2N0?ooo`800000;P3oool2 00000003@000003oool0oooo07P0oooo1000001f0?ooo`030000003oool0oooo0;L0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0V03oool00`000000oooo0?ooo`2P0?ooo`030000003oool0oooo 02/0oooo00<000000?ooo`3oool0OP3oool500000700oooo00<000000?ooo`3oool0^03oool10=WI f@00:03oool00`000000oooo0?ooo`2I0?ooo`030000003oool0oooo0:00oooo00<000000?ooo`3o ool0:P3oool00`000000oooo0?ooo`230?ooo`D00000JP3oool00`000000oooo0?ooo`2i0?ooo`40 fMWI000X0?ooo`030000003oool0oooo09X0oooo00<000000?ooo`3oool0X03oool00`000000oooo 0?ooo`0Y0?ooo`030000003oool0oooo08P0oooo1@00001T0?ooo`030000003oool0oooo0;X0oooo 0@3IfMT002P0oooo00<000000?ooo`3oool0VP3oool00`000000oooo0?ooo`2Q0?ooo`800000:@3o ool00`000000oooo0?ooo`2=0?ooo`D00000GP3oool00`000000oooo0?ooo`2k0?ooo`40fMWI000X 0?ooo`030000003oool0oooo09/0oooo00<000000?ooo`3oool0XP3oool00`000000oooo0?ooo`0V 0?ooo`030000003oool0oooo0980oooo1@00001H0?ooo`030000003oool0oooo0;`0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0V`3oool00`000000oooo0?ooo`2S0?ooo`030000003oool0oooo 02D0oooo00<000000?ooo`3oool0U`3oool4000005<0oooo00<000000?ooo`3oool0_@3oool10=WI f@00:03oool00`000000oooo0?ooo`2L0?ooo`030000003oool0oooo0:<0oooo00<000000?ooo`3o ool0903oool00`000000oooo0?ooo`2K0?ooo`D00000C@3oool00`000000oooo0?ooo`2n0?ooo`40 fMWI000X0?ooo`030000003oool0oooo09d0oooo00<000000?ooo`3oool0X`3oool2000002@0oooo 00<000000?ooo`3oool0X03oool4000004P0oooo00<000000?ooo`3oool0_`3oool10=WIf@00:03o ool00`000000oooo0?ooo`2M0?ooo`030000003oool0oooo0:D0oooo00<000000?ooo`3oool08@3o ool00`000000oooo0?ooo`2T0?ooo`D00000@P3oool00`000000oooo0?ooo`300?ooo`40fMWI000X 0?ooo`030000003oool0oooo09h0oooo00<000000?ooo`3oool0Y@3oool00`000000oooo0?ooo`0P 0?ooo`030000003oool0oooo0:T0oooo1@00000l0?ooo`030000003oool0oooo0<40oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0WP3oool00`000000oooo0?ooo`2V0?ooo`030000003oool0oooo 01l0oooo00<000000?ooo`3oool0[P3oool5000003H0oooo00<000000?ooo`3oool0`P3oool10=WI f@00:03oool00`000000oooo0?ooo`2O0?ooo`030000003oool0oooo0:H0oooo0P00000O0?ooo`80 000000=000000?ooo`3oool0/@3oool400000340oooo00<000000?ooo`3oool0``3oool10=WIf@00 :03oool00`000000oooo0?ooo`2O0?ooo`030000003oool0oooo0:P0oooo00<000000?ooo`3oool0 703oool00`000000oooo0?ooo`2g0?ooo`D00000:`3oool00`000000oooo0?ooo`340?ooo`40fMWI 000X0?ooo`030000003oool0oooo0:00oooo00<000000?ooo`3oool0Z03oool00`000000oooo0?oo o`0K0?ooo`030000003oool0oooo0;`0oooo1@00000U0?ooo`030000003oool0oooo00?ooo`40fMWI000X 0?ooo`030000003oool0oooo0:H0oooo00<000000?ooo`3oool0X@3oool01D000000oooo0?ooo`3o oom0000000H0oooo00<000000?ooo`3oool01400000=0?ooo`030000003oool0oooo0=`0oooo00<0 00000?ooo`3oool0c`3oool10=WIf@00:03oool00`000000oooo0?ooo`2V0?ooo`030000003oool0 oooo0:40oooo00E000000?ooo`3oool0oooo@00000070?ooo`030000003ooom000000100oooo00<0 00000?ooo`3oool0f`3oool00`000000oooo0?ooo`3@0?ooo`40fMWI000X0?ooo`030000003oool0 oooo0:L0oooo00<000000?ooo`3oool0X03oool01D000000oooo0?ooo`3ooom0000000P0oooo00<0 00000?oood0000003`3oool00`000000oooo0?ooo`3J0?ooo`030000003oool0oooo0=40oooo0@3I fMT002P0oooo00<000000?ooo`3oool0Y`3oool00`000000oooo0?ooo`2Q0?ooo`=000002P3oool0 0`000000oooo@0000002@00000`0oooo00<000000?ooo`3oool0f@3oool00`000000oooo0?ooo`3B 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0:P0oooo00<000000?ooo`3oool0[P3oool00`00 0000oooo0?ooo`0=0?ooo`030000003oool0oooo0=P0oooo00<000000?ooo`3oool0d`3oool10=WI f@00:03oool00`000000oooo0?ooo`2X0?ooo`030000003oool0oooo0:l0oooo00<000000?ooo`3o ool0303oool00`000000oooo0?ooo`3G0?ooo`030000003oool0oooo0=@0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0Z@3oool00`000000oooo0?ooo`2_0?ooo`030000003oool0oooo00/0oooo 00<000000?ooo`3oool0eP3oool00`000000oooo0?ooo`3E0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0:T0oooo00<000000?ooo`3oool0/03oool00`000000oooo0?ooo`0:0?ooo`030000003o ool0oooo0=D0oooo00<000000?ooo`3oool0eP3oool10=WIf@00:03oool00`000000oooo0?ooo`2Z 0?ooo`030000003oool0oooo0;00oooo0P00000:0?ooo`030000003oool0oooo0=@0oooo00<00000 0?ooo`3oool0;`3oool00d000000oooo0?ooo`2U0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0:X0oooo00<000000?ooo`3oool0/P3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo 0=<0oooo00<000000?ooo`3oool0:@3oool3@00000040?oood000000oooo0?ooo`9000000P3oool4 @00000L0oooo0d0000030?ooo`04@000003oool0oooo0?ooo`=00000S03oool10=WIf@00:03oool0 0`000000oooo0?ooo`2[0?ooo`030000003oool0oooo0;80oooo00<000000?ooo`3oool01P3oool0 0`000000oooo0?ooo`3B0?ooo`030000003oool0oooo02/0oooo00A000000?ooo`3ooom000000P3o ool00d000000oooo@00000070?ooo`A000000P3oool00d000000oooo0?ooo`070?ooo`03@000003o ool0oooo08/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0[03oool00`000000oooo0?ooo`2b 0?ooo`030000003oool0oooo00D0oooo0P0000000d000000oooo0?ooo`3?0?ooo`030000003oool0 oooo02`0oooo00=000000?oood0000001`3oool4@00000P0oooo00=000000?ooo`3oool0203oool0 0d000000oooo0?ooo`2:0?ooo`40fMWI000X0?ooo`030000003oool0oooo0:`0oooo00<000000?oo o`3oool0/`3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo0=00oooo00<000000?oo o`3oool0;P3oool2@00001@0oooo00=000000?ooo`3oool0203oool00d000000oooo0?ooo`290?oo o`40fMWI000X0?ooo`030000003oool0oooo0:d0oooo00<000000?ooo`3oool0/`3oool00`000000 oooo0?ooo`030?ooo`030000003oool0oooo0P3oool00`000000oooo0?ooo`3O0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0:l0oooo00<000000?ooo`3oool0]P3oool200000980oooo00=000000?ooo`3oool0>03oool00`00 0000oooo0?ooo`3P0?ooo`40fMWI000X0?ooo`030000003oool0oooo0:l0oooo00<000000?ooo`3o ool0]`3oool00`000000oooo0?ooo`2A0?ooo`03@000003oool0oooo03H0oooo00<000000?ooo`3o ool0h@3oool10=WIf@00:03oool00`000000oooo0?ooo`2`0?ooo`030000003oool0oooo0;H0oooo 0P00002?0?ooo`05@000003oool0oooo0?oood000000=P3oool00`000000oooo0?ooo`3R0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0;00oooo00<000000?ooo`3oool0]P3oool00`000000oooo 0000002?0?ooo`=00000=P3oool00`000000oooo0?ooo`3S0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0;40oooo00<000000?ooo`3oool0]@3oool010000000oooo0?ooo`00001_0?ooo`900000 00<0oooo@000040000000`3oool00d000000oooo0?ooo`030?ooo`900000A`3oool00`000000oooo 0?ooo`3T0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;40oooo00<000000?ooo`3oool0]@3o ool200000003@000003oool0000006d0oooo00=000000?ooo`3oool00T0000040?ooo`03@000003o ool0oooo00<0oooo00=000000?oood0000000P3oool5@00003h0oooo00<000000?ooo`3oool0i@3o ool10=WIf@00:03oool00`000000oooo0?ooo`2b0?ooo`030000003oool0oooo0;@0oooo00<00000 0?ooo`3oool00P3oool00`000000oooo0?ooo`1Z0?ooo`05@000003oool0oooo0?oood0000000P3o ool5@0000080oooo00A000000?ooo`3ooom000002P3oool:@0000300oooo00<000000?ooo`3oool0 iP3oool10=WIf@00:03oool00`000000oooo0?ooo`2b0?ooo`030000003oool0oooo0;@0oooo00<0 00000?ooo`3oool00`3oool00`000000oooo0?ooo`1Y0?ooo`05@000003oool0oooo0?oood000000 103oool00d000000oooo0?ooo`020?ooo`06@000003oool0oooo0?oood000000oooo1D00000l0?oo o`030000003oool0oooo0>L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0/`3oool00`000000 oooo0?ooo`2c0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0I`3oool2@0000080 oooo0T0000040?ooo`04@000003oool0oooo0?ooo`=0000000@0oooo@000040000100000@03oool0 0`000000oooo0?ooo`3X0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;@0oooo00<000000?oo o`3oool0/P3oool00`000000oooo0?ooo`050?ooo`800000^`3oool00`000000oooo0?ooo`3Y0?oo o`40fMWI000X0?ooo`030000003oool0oooo0;@0oooo00<000000?ooo`3oool0/P3oool00`000000 oooo0?ooo`070?ooo`030000003oool0oooo0;L0oooo00<000000?ooo`3oool0jP3oool10=WIf@00 :03oool00`000000oooo0?ooo`2e0?ooo`030000003oool0oooo0;40oooo00<000000?ooo`3oool0 203oool00`000000oooo0?ooo`220?ooo`03@000003oool0oooo0080oooo00=000000?ooo`3oool0 :`3oool00`000000oooo0?ooo`3[0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;D0oooo00<0 00000?ooo`3oool0/@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo0880oooo00A0 00000?ooo`3ooom00000;@3oool00`000000oooo0?ooo`3/0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0;H0oooo00<000000?ooo`3oool0/03oool00`000000oooo0?ooo`0:0?ooo`030000003o ool0oooo0880oooo00=000000?oood000000;03oool00`000000oooo0?ooo`3]0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0;H0oooo00<000000?ooo`3oool0/03oool00`000000oooo0?ooo`0; 0?ooo`800000PP3oool00d000000oooo@000000[0?ooo`030000003oool0oooo0>h0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0]`3oool00`000000oooo0?ooo`2_0?ooo`030000003oool0oooo 00d0oooo00<000000?ooo`3oool0O@3oool7@00002P0oooo00<000000?ooo`3oool0k`3oool10=WI f@00:03oool00`000000oooo0?ooo`2g0?ooo`030000003oool0oooo0:l0oooo00<000000?ooo`3o ool03P3oool00`000000oooo0?ooo`2Z0?ooo`030000003oool0oooo0?00oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0^03oool00`000000oooo0?ooo`2^0?ooo`80000000=000000?ooo`3oool0 3@3oool00`000000oooo0?ooo`2X0?ooo`030000003oool0oooo0?40oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0^03oool00`000000oooo0?ooo`2^0?ooo`030000003oool0oooo0100oooo0P00 002W0?ooo`030000003oool0oooo0?80oooo0@3IfMT002P0oooo00<000000?ooo`3oool0^@3oool0 0`000000oooo0?ooo`2]0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0X`3oool0 0`000000oooo0?ooo`3c0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;T0oooo00<000000?oo o`3oool0[@3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo0:40oooo00<000000?oo o`3oool0m03oool10=WIf@00:03oool00`000000oooo0?ooo`2j0?ooo`030000003oool0oooo0:`0 oooo00<000000?ooo`3oool0503oool200000:00oooo00<000000?ooo`3oool0m@3oool10=WIf@00 :03oool00`000000oooo0?ooo`2k0?ooo`030000003oool0oooo0:/0oooo00<000000?ooo`3oool0 5P3oool00`000000oooo0?ooo`2L0?ooo`030000003oool0oooo0?H0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0^`3oool00`000000oooo0?ooo`2[0?ooo`030000003oool0oooo01L0oooo0P00 002K0?ooo`030000003oool0oooo0?L0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0_03oool0 0`000000oooo0?ooo`2Z0?ooo`030000003oool0oooo01T0oooo00<000000?ooo`3oool0U`3oool0 0`000000oooo0?ooo`3h0?ooo`40fMWI000X0?ooo`030000003oool0oooo0;`0oooo00<000000?oo o`3oool0ZP3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo09H0oooo00<000000?oo o`3oool0n03oool10=WIf@00:03oool00`000000oooo0?ooo`2m0?ooo`030000003oool0oooo0:T0 oooo00<000000?ooo`3oool06`3oool2000009D0oooo00<000000?ooo`3oool0n@3oool10=WIf@00 :03oool00`000000oooo0?ooo`2m0?ooo`030000003oool0oooo08/0oooo0d0000040?ooo`900000 1@3oool3@00000d0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`2A0?ooo`030000 003oool0oooo0?X0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0_P3oool00`000000oooo0?oo o`290?ooo`05@000003oool0oooo0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000`0 oooo100000000d000000oooo0?ooo`0J0?ooo`030000003oool0oooo08l0oooo00<000000?ooo`3o ool0n`3oool10=WIf@00:03oool00`000000oooo0?ooo`2n0?ooo`030000003oool0oooo08T0oooo 00E000000?ooo`3oool0oooo@00000090?ooo`05@000003oool0oooo0?oood000000303oool00`00 0000oooo0?ooo`0O0?ooo`800000SP3oool00`000000oooo0?ooo`3l0?ooo`40fMWI000X0?ooo`03 0000003oool0oooo0;l0oooo00<000000?ooo`3oool0R03oool01D000000oooo0?ooo`3ooom00000 00X0oooo0d00000=0?ooo`030000003oool0oooo0240oooo0P00002;0?ooo`030000003oool0oooo 0?d0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0_`3oool00`000000oooo0?ooo`280?ooo`05 @000003oool0oooo0?oood0000002@3oool01D000000oooo0?ooo`3ooom0000000`0oooo00<00000 0?ooo`3oool08`3oool2000008P0oooo00<000000?ooo`3oool0oP3oool10=WIf@00:03oool00`00 0000oooo0?ooo`300?ooo`030000003oool0oooo08L0oooo00E000000?ooo`3oool0oooo@0000009 0?ooo`05@000003oool0oooo0?oood000000303oool00`000000oooo0?ooo`0U0?ooo`800000Q@3o ool00`000000oooo0?ooo`3o0?ooo`40fMWI000X0?ooo`030000003oool0oooo0<00oooo00<00000 0?ooo`3oool0R03oool3@00000/0oooo0d00000=0?ooo`030000003oool0oooo02L0oooo00<00000 0?ooo`3oool0P@3oool00`000000oooo0?ooo`3o0?ooo`40oooo0@3IfMT002P0oooo00<000000?oo o`3oool0`@3oool00`000000oooo0?ooo`2U0?ooo`030000003oool0oooo02P0oooo0P0000200?oo o`030000003oool0oooo0?l0oooo0P3oool10=WIf@00:03oool00`000000oooo0?ooo`310?ooo`03 0000003oool0oooo0:D0oooo00<000000?ooo`3oool0:P3oool00`000000oooo0?ooo`1l0?ooo`03 0000003oool0oooo0?l0oooo0`3oool10=WIf@00:03oool00`000000oooo0?ooo`320?ooo`030000 003oool0oooo0:@0oooo00<000000?ooo`3oool0:`3oool2000007/0oooo00<000000?ooo`3oool0 o`3oool40?ooo`40fMWI000X0?ooo`030000003oool0oooo0<<0oooo00<000000?ooo`3oool0X`3o ool00`000000oooo0?ooo`0]0?ooo`800000N03oool00`000000oooo0?ooo`3o0?ooo`D0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0``3oool00`000000oooo0?ooo`2S0?ooo`030000003oool0 oooo02l0oooo0P00001e0?ooo`030000003oool0oooo0?l0oooo1P3oool10=WIf@00:03oool00`00 0000oooo0?ooo`340?ooo`030000003oool0oooo0:80oooo00<000000?ooo`3oool0<@3oool20000 0780oooo00<000000?ooo`3oool0o`3oool70?ooo`40fMWI000X0?ooo`030000003oool0oooo00?ooo`030000003oool0oooo09P0oooo00<00000 0?ooo`3oool0D03oool2000004D0oooo00<000000?ooo`3oool0o`3ooolE0?ooo`40fMWI000X0?oo o`030000003oool0oooo000oooo00<000000?ooo`3oool0M`3o ool00d000000oooo0?ooo`0<0?ooo`030000003oool0oooo07l0oooo00<000000?ooo`3oool0o`3o ool]0?ooo`40fMWI000X0?ooo`030000003oool0oooo0>40oooo00<000000?ooo`3oool0MP3oool0 0d000000oooo0?ooo`0<0?ooo`030000003oool0oooo07h0oooo00<000000?ooo`3oool0;@3oool0 0d000000oooo0?ooo`3m0?ooo`40fMWI000X0?ooo`030000003oool0oooo0>80oooo00<000000?oo o`3oool0M03oool2@00000h0oooo00<000000?ooo`3oool0O@3oool00`000000oooo0?ooo`0^0?oo o`900000oP3oool10=WIf@00:03oool00`000000oooo0?ooo`3S0?ooo`030000003oool0oooo08<0 oooo00<000000?ooo`3oool0O03oool00`000000oooo0?ooo`0X0?ooo`=0000000P0oooo@000003o ool0oooo@000003ooom000000?ooo`A000001`3oool3@00000<0oooo00=000000?ooo`3oool00P3o ool3@0000><0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0i03oool00`000000oooo0?ooo`22 0?ooo`030000003oool0oooo07/0oooo00<000000?ooo`3oool0:P3oool014000000oooo0?oood00 000<0?ooo`A000000P3oool00d000000oooo0?ooo`080?ooo`03@000003oool0oooo0>80oooo0@3I fMT002P0oooo00<000000?ooo`3oool0i@3oool00`000000oooo0?ooo`210?ooo`030000003oool0 oooo07X0oooo00<000000?ooo`3oool0:`3oool00d000000oooo@00000070?ooo`A00000203oool0 0d000000oooo0?ooo`060?ooo`A00000h`3oool10=WIf@00:03oool00`000000oooo0?ooo`3V0?oo o`030000003oool0oooo0800oooo00<000000?ooo`3oool0N@3oool00`000000oooo0?ooo`0]0?oo o`900000503oool00d000000oooo0?ooo`060?ooo`03@000003ooom000000><0oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0i`3oool00`000000oooo0?ooo`1o0?ooo`030000003oool0oooo07P0 oooo00<000000?ooo`3oool0;P3oool00d000000oooo@000000B0?ooo`9000002@3oool2@0000><0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0j03oool00`000000oooo0?ooo`1n0?ooo`030000 003oool0oooo07L0oooo00<000000?ooo`3oool0;P3oool2@00000030?oood00001000000180oooo 00=000000?ooo`3oool0203oool00d000000oooo0?ooo`3Q0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0>T0oooo00<000000?ooo`3oool0O@3oool200000003@000003oool0oooo07@0oooo00<0 00000?ooo`3oool0o`3ooolf0?ooo`40fMWI000X0?ooo`030000003oool0oooo0>X0oooo00<00000 0?ooo`3oool0O03oool00`000000oooo0?ooo`1e0?ooo`030000003oool0oooo0?l0oooo=`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3[0?ooo`030000003oool0oooo07/0oooo00<000000?oo o`3oool0M03oool00`000000oooo0?ooo`3o0?ooocP0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0k03oool00`000000oooo0?ooo`1j0?ooo`030000003oool0oooo07<0oooo00<000000?ooo`3o ool0o`3oooli0?ooo`40fMWI000X0?ooo`030000003oool0oooo0>d0oooo00<000000?ooo`3oool0 N@3oool00`000000oooo0?ooo`1b0?ooo`030000003oool0oooo0?l0oooo>P3oool10=WIf@00:03o ool00`000000oooo0?ooo`3^0?ooo`030000003oool0oooo07P0oooo00<000000?ooo`3oool0L@3o ool00`000000oooo0?ooo`3o0?oooc/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0k`3oool0 0`000000oooo0?ooo`1g0?ooo`030000003oool0oooo0700oooo00<000000?ooo`3oool0o`3oooll 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?00oooo00<000000?ooo`3oool0MP3oool00`00 0000oooo0?ooo`1_0?ooo`030000003oool0oooo0?l0oooo?@3oool10=WIf@00:03oool00`000000 oooo0?ooo`3a0?ooo`030000003oool0oooo07D0oooo00<000000?ooo`3oool0KP3oool00`000000 oooo0?ooo`3o0?oooch0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0lP3oool00`000000oooo 0?ooo`1d0?ooo`030000003oool0oooo06d0oooo00<000000?ooo`3oool0o`3ooolo0?ooo`40fMWI 000X0?ooo`030000003oool0oooo0?<0oooo0P00001d0?ooo`030000003oool0oooo06`0oooo00<0 00000?ooo`3oool0o`3ooom00?ooo`40fMWI000X0?ooo`030000003oool0oooo0?D0oooo00<00000 0?ooo`3oool0L@3oool00`000000oooo0?ooo`1[0?ooo`030000003oool0oooo0?l0oooo@@3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3f0?ooo`030000003oool0oooo0700oooo0P0000000d00 0000oooo0?ooo`1X0?ooo`030000003oool0oooo0?l0oooo@P3oool10=WIf@00:03oool00`000000 oooo0?ooo`3g0?ooo`030000003oool0oooo06l0oooo00<000000?ooo`3oool0J@3oool00`000000 oooo0?ooo`3o0?oood<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0n03oool00`000000oooo 0?ooo`1^0?ooo`030000003oool0oooo06P0oooo00<000000?ooo`3oool0o`3ooom40?ooo`40fMWI 000X0?ooo`030000003oool0oooo0?T0oooo00<000000?ooo`3oool0K@3oool00`000000oooo0?oo o`1W0?ooo`030000003oool0oooo0?l0ooooA@3oool10=WIf@00:03oool00`000000oooo0?ooo`3j 0?ooo`800000K@3oool00`000000oooo0?ooo`1V0?ooo`030000003oool0oooo0?l0ooooAP3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3l0?ooo`030000003oool0oooo06X0oooo00<000000?oo o`3oool0I@3oool00`000000oooo0?ooo`3o0?ooodL0oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0o@3oool00`000000oooo0?ooo`1Y0?ooo`030000003oool0oooo06@0oooo00<000000?ooo`3o ool0o`3ooom80?ooo`40fMWI000X0?ooo`030000003oool0oooo0?h0oooo00<000000?ooo`3oool0 J03oool00`000000oooo0?ooo`1S0?ooo`030000003oool0oooo0?l0ooooB@3oool10=WIf@00:03o ool00`000000oooo0?ooo`3o0?ooo`800000J03oool00`000000oooo0?ooo`1R0?ooo`030000003o ool0oooo0?l0ooooBP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`80oooo00<00000 0?ooo`3oool0I@3oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo0?l0ooooB`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`<0oooo0P00001U0?ooo`030000003oool0oooo 0600oooo00<000000?ooo`3oool0o`3ooom<0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0 oooo1@3oool2000006<0oooo0P0000000d000000oooo0?ooo`1M0?ooo`030000003oool0oooo0?l0 ooooC@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`L0oooo00<000000?ooo`3oool0 H03oool00`000000oooo0?ooo`1N0?ooo`030000003oool0oooo0?l0ooooCP3oool10=WIf@00:03o ool00`000000oooo0?ooo`3o0?ooo`P0oooo0P00001P0?ooo`030000003oool0oooo05d0oooo00<0 00000?ooo`3oool0o`3ooom?0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo2P3oool0 0`000000oooo0?ooo`1M0?ooo`030000003oool0oooo05`0oooo00<000000?ooo`3oool0o`3ooom@ 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo2`3oool2000005d0oooo00<000000?oo o`3oool0F`3oool00`000000oooo0?ooo`3o0?oooe40oooo0@3IfMT002P0oooo00<000000?ooo`3o ool0o`3oool=0?ooo`800000F`3oool00`000000oooo0?ooo`1J0?ooo`030000003oool0oooo0?l0 ooooDP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooo`l0oooo00<000000?ooo`3oool0 F03oool00`000000oooo0?ooo`1I0?ooo`030000003oool0oooo0?l0ooooD`3oool10=WIf@00:03o ool00`000000oooo0?ooo`3o0?oooa00oooo0P00001H0?ooo`030000003oool0oooo05P0oooo00<0 00000?ooo`3oool0o`3ooomD0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo4P3oool2 000005H0oooo00<000000?ooo`3oool0E`3oool00`000000oooo0?ooo`3o0?oooeD0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0o`3ooolD0?ooo`800000E03oool00`000000oooo0?ooo`1F0?oo o`030000003oool0oooo0?l0ooooEP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooaH0 oooo0P00000c0?ooo`E000000`3oool2@00000@0oooo1D00000<0?ooo`030000003oool0oooo05D0 oooo00<000000?ooo`3oool0o`3ooomG0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo 603oool2000003<0oooo00=000000?ooo`3oool02@3oool00d000000oooo0?ooo`0>0?ooo`030000 003oool0oooo05@0oooo00<000000?ooo`3oool0o`3ooomH0?ooo`40fMWI000X0?ooo`030000003o ool0oooo0?l0oooo6P3oool200000340oooo00=000000?ooo`3oool02P3oool00d000000oooo0?oo o`0=0?ooo`@0000000=000000?ooo`3oool0C`3oool00`000000oooo0?ooo`3o0?oooeT0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0o`3ooolL0?ooo`800000;`3oool00d000000oooo0?ooo`0; 0?ooo`03@000003oool0oooo00`0oooo00<000000?ooo`3oool0DP3oool00`000000oooo0?ooo`3o 0?oooeX0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooolN0?ooo`800000;@3oool00d00 0000oooo0?ooo`0<0?ooo`03@000003oool0oooo00/0oooo00<000000?ooo`3oool0D@3oool00`00 0000oooo0?ooo`3o0?oooe/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooolP0?ooo`80 0000:`3oool00d000000oooo0?ooo`090?ooo`05@000003oool0oooo0?oood000000303oool00`00 0000oooo0?ooo`1@0?ooo`030000003oool0oooo0?l0ooooG03oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooob80oooo0P00000X0?ooo`900000303oool3@00000d0oooo00<000000?ooo`3o ool0C`3oool00`000000oooo0?ooo`3o0?oooed0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0 o`3ooolT0?ooo`800000A03oool00`000000oooo0?ooo`1>0?ooo`030000003oool0oooo0?l0oooo GP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooobH0oooo0`0000110?ooo`030000003o ool0oooo04d0oooo00<000000?ooo`3oool0o`3ooomO0?ooo`40fMWI000X0?ooo`030000003oool0 oooo0?l0oooo:@3oool2000003l0oooo00<000000?ooo`3oool0C03oool00`000000oooo0?ooo`3o 0?ooof00oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3oool[0?ooo`800000?@3oool00`00 0000oooo0?ooo`1;0?ooo`030000003oool0oooo0?l0ooooH@3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooobd0oooo0`00000j0?ooo`030000003oool0oooo04X0oooo00<000000?ooo`3o ool0o`3ooomR0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo<03oool2000003P0oooo 00<000000?ooo`3oool0B@3oool00`000000oooo0?ooo`3o0?ooof<0oooo0@3IfMT002P0oooo00<0 00000?ooo`3oool0o`3ooolb0?ooo`<00000=@3oool200000003@000003oool0oooo04H0oooo00<0 00000?ooo`3oool0o`3ooomT0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0oooo=@3oool2 000003<0oooo00<000000?ooo`3oool0A`3oool00`000000oooo0?ooo`3o0?ooofD0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0o`3ooolg0?ooo`<00000<03oool00`000000oooo0?ooo`160?oo o`030000003oool0oooo0?l0ooooIP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooocX0 oooo0P00000^0?ooo`030000003oool0oooo04D0oooo00<000000?ooo`3oool0o`3ooomW0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0?l0oooo?03oool3000002/0oooo00<000000?ooo`3oool0 A03oool00`000000oooo0?ooo`3o0?ooofP0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oolo0?ooo`<00000:03oool00`000000oooo0?ooo`130?ooo`030000003oool0oooo0?l0ooooJ@3o ool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oood80oooo0`00000U0?ooo`030000003oool0 oooo0480oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0?l0ooooA@3oool300000280oooo00<000000?ooo`3oool0@@3oool00`000000oooo0?ooo`3o0?oo of/0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooom80?ooo`<000007`3oool00`000000 oooo0?ooo`100?ooo`030000003oool0oooo0?l0ooooK03oool10=WIf@00:03oool00`000000oooo 0?ooo`3o0?oood/0oooo0`00000L0?ooo`030000003oool0oooo03l0oooo00<000000?ooo`3oool0 o`3ooom]0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooCP3oool3000001T0oooo00<0 00000?ooo`3oool0?P3oool00`000000oooo0?ooo`3o0?ooofh0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0o`3ooomA0?ooo`<000005P3oool00`000000oooo0?ooo`0m0?ooo`030000003oool0 oooo0?l0ooooK`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooe@0oooo0`00000C0?oo o`80000000=000000?ooo`3oool0>P3oool00`000000oooo0?ooo`3o0?ooog00oooo0@3IfMT002P0 oooo00<000000?ooo`3oool0o`3ooomG0?ooo`<00000403oool00`000000oooo0?ooo`0k0?ooo`03 0000003oool0oooo0?l0ooooL@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oooeX0oooo 1000000<0?ooo`030000003oool0oooo03X0oooo00<000000?ooo`3oool0o`3ooomb0?ooo`40fMWI 000X0?ooo`030000003oool0oooo0?l0ooooGP3oool5000000L0oooo00<000000?ooo`3oool0>@3o ool00`000000oooo0?ooo`3o0?ooog<0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomS 0?ooo`D000000P3oool00`000000oooo0?ooo`0h0?ooo`030000003oool0oooo0?l0ooooM03oool1 0=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofP0oooo0`00000i0?ooo`030000003oool0oooo 0?l0ooooM@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo1@00000d0?ooo`03 0000003oool0oooo0?l0ooooMP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo 00<000000?ooo`3oool00P3oool6000002d0oooo00<000000?ooo`3oool0o`3ooomg0?ooo`40fMWI 000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000oooo0?ooo`080?ooo`L000009@3o ool00`000000oooo0?ooo`3o0?ooogP0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ 0?ooo`030000003oool0oooo00l0oooo2P00000J0?ooo`030000003oool0oooo0?l0ooooN@3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool06@3oool;0000 00h0oooo00<000000?ooo`3oool0o`3ooomj0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0 ooooJP3oool200000003@000003oool0oooo0280oooo300000000d00000000000?ooo`3o0?ooog`0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo0300oooo 00<000000?ooo`3oool0o`3oooml0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3o ool00`000000oooo0?ooo`0_0?ooo`030000003oool0oooo0?l0ooooO@3oool10=WIf@00:03oool0 0`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`3o 0?ooogh0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo 02d0oooo00<000000?ooo`3oool0o`3ooomo0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0 ooooJP3oool00`000000oooo0?ooo`0/0?ooo`030000003oool0oooo0?l0ooooP03oool10=WIf@00 :03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool0:`3oool00`000000oooo 0?ooo`3o0?oooh40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003o ool0oooo02X0oooo00<000000?ooo`3oool0o`3ooon20?ooo`40fMWI000X0?ooo`030000003oool0 oooo0?l0ooooJP3oool00`000000oooo0?ooo`0Y0?ooo`030000003oool0oooo0?l0ooooP`3oool1 0=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool0:03oool00`00 0000oooo0?ooo`0W0?ooo`03@000003oool0oooo0?l0ooooFP3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?oood/0oooo1D0000030?ooo`9000001P3oool3@00000`0oooo00<000000?ooo`3o ool09`3oool00`000000oooo0?ooo`0R0?ooo`=0000000<0oooo@000003oool00T0000030?ooo`A0 00001`3oool3@0000?l0ooooBP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooodd0oooo 00=000000?ooo`3oool0303oool00d000000oooo0?ooo`0;0?ooo`030000003oool0oooo02H0oooo 00<000000?ooo`3oool0903oool024000000oooo0?oood000000oooo@000003ooom000001`3oool4 @00000<0oooo00=000000?ooo`3oool0o`3ooom90?ooo`40fMWI000X0?ooo`030000003oool0oooo 0?l0ooooC@3oool00d000000oooo0?ooo`090?ooo`E00000303oool400000003@000003oool0oooo 0240oooo00<000000?ooo`3oool09@3oool00d000000oooo@00000070?ooo`A000002@3oool00d00 0000oooo0?ooo`3o0?ooodP0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooom=0?ooo`03 @000003oool0oooo00T0oooo00A000000?ooo`3ooom000003@3oool00`000000oooo0?ooo`0T0?oo o`030000003oool0oooo02L0oooo0T00000E0?ooo`03@000003oool0oooo0?l0ooooA`3oool10=WI f@00:03oool00`000000oooo0?ooo`3o0?ooodd0oooo00=000000?ooo`3oool02P3oool00d000000 oooo@000000=0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool0:03oool00d000000 oooo@000000B0?ooo`03@000003ooom000000?l0ooooB@3oool10=WIf@00:03oool00`000000oooo 0?ooo`3o0?ooodd0oooo00=000000?ooo`3oool02`3oool2@00000d0oooo00<000000?ooo`3oool0 8P3oool00`000000oooo0?ooo`0X0?ooo`90000000<0oooo@000040000004P3oool2@0000?l0oooo B@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?oood`0oooo0T00000>0?ooo`03@000003o ool0oooo00/0oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`3o0?oooh/0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo0200oooo00<00000 0?ooo`3oool0o`3ooon<0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`00 0000oooo0?ooo`0O0?ooo`030000003oool0oooo0?l0ooooS@3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool07P3oool00`000000oooo0?ooo`3o0?ooohh0 oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo01d0oooo 00<000000?ooo`3oool0o`3ooon?0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3o ool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo0?l0ooooT03oool10=WIf@00:03oool0 0`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`3o 0?oooi40oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo 01X0oooo00<000000?ooo`3oool0o`3ooonB0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0 ooooJP3oool200000003@000003oool0oooo01L0oooo00<000000?ooo`3oool0o`3ooonC0?ooo`40 fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000oooo0?ooo`0H0?ooo`030000 003oool0oooo0?l0ooooU03oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<0 00000?ooo`3oool05`3oool00`000000oooo0?ooo`3o0?oooiD0oooo0@3IfMT002P0oooo00<00000 0?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0o`3ooonF 0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000oooo0?ooo`0E0?oo o`030000003oool0oooo0?l0ooooU`3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0 oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`3o0?oooiP0oooo0@3IfMT002P0oooo 00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0 o`3ooonI0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000oooo0?oo o`0B0?ooo`030000003oool0oooo0?l0ooooVP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o 0?ooofX0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`3o0?oooi/0oooo0@3IfMT0 02P0oooo00<000000?ooo`3oool0o`3ooomZ0?ooo`030000003oool0oooo0100oooo00<000000?oo o`3oool0o`3ooonL0?ooo`40fMWI000X0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000 oooo0?ooo`0?0?ooo`030000003oool0oooo0?l0ooooW@3oool10=WIf@00:03oool00`000000oooo 0?ooo`3o0?ooofX0oooo0P0000000d000000oooo0?ooo`0<0?ooo`030000003oool0oooo0?l0oooo WP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool03@3o ool00`000000oooo0?ooo`3o0?oooil0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0NP3oool0 0d000000oooo0?ooo`3/0?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0o`3ooonP 0?ooo`40fMWI000X0?ooo`030000003oool0oooo07<0oooo0d000000103ooom000000?ooo`3oool2 @0000080oooo1400003W0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0o`3ooonQ 0?ooo`40fMWI000X0?ooo`030000003oool0oooo07@0oooo00A000000?ooo`3ooom000000P3oool0 0d000000oooo@00000070?ooo`A000000P3oool2@00000030?oood000000oooo0=X0oooo00<00000 0?ooo`3oool02P3oool00`000000oooo0?ooo`3o0?oooj80oooo0@3IfMT002P0oooo00<000000?oo o`3oool0M03oool00d000000oooo@00000070?ooo`A000001`3oool01T000000oooo0?oood000000 oooo@0000=X0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`3o0?oooj<0oooo0@3I fMT002P0oooo00<000000?ooo`3oool0M@3oool2@00001<0oooo0T0000000`3ooom000000?ooo`3J 0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool0o`3ooonT0?ooo`40fMWI000X0?oo o`030000003oool0oooo07D0oooo00=000000?oood000000l@3oool00`000000oooo0?ooo`070?oo o`030000003oool0oooo0?l0ooooY@3oool10=WIf@00:03oool00`000000oooo0?ooo`1d0?ooo`90 000000<0oooo@00004000000l03oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo0?l0 ooooYP3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo00<000000?ooo`3oool0 1@3oool00`000000oooo0?ooo`3o0?ooojL0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3o oomZ0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0o`3ooonX0?ooo`40fMWI000X 0?ooo`030000003oool0oooo0?l0ooooJP3oool00`000000oooo0?ooo`030?ooo`030000003oool0 oooo0?l0ooooZ@3oool10=WIf@00:03oool00`000000oooo0?ooo`3o0?ooofX0oooo0P0000001400 0000oooo0?ooo`00003o0?oooj`0oooo0@3IfMT002P0oooo00<000000?ooo`3oool0o`3ooomZ0?oo o`050000003oool0oooo0?ooo`000000o`3ooon]0?ooo`40fMWI000X0?ooo`030000003oool0oooo 0?l0ooooJP3oool010000000oooo0?ooo`00003o0?ooojh0oooo0@3IfMT002P0oooo00<000000?oo o`3oool0o`3ooomZ0?ooo`030000003oool000000?l0oooo[`3oool10=WIf@00:03oool00`000000 oooo0?ooo`3o0?ooofX0oooo0P00003o0?oook00oooo0@3IfMT002P0ooooo`00001^00000?l0oooo /@3oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool1 0=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00 o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo 0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0 ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03o ool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WI f@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3o oooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?oo ool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0oooo B03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool10=WIf@00o`3ooooo0?ooool0ooooB03oool1 0=WIf@00o`3ooonC0?ooo`90000000<0oooo@00004000000o`3ooon_0?ooo`40fMWI003o0?oooi80 oooo00=000000?ooo`3oool00T00003o0?oook00oooo0@3IfMT00?l0ooooTP3oool01D000000oooo 0?ooo`3ooom000000?l0oooo/03oool10=WIf@00o`3ooonB0?ooo`05@000003oool0oooo0?oood00 0000o`3ooon`0?ooo`40fMWI003o0?oooi40oooo0T0000020?ooo`900000o`3ooon`0?ooo`40fMWI 003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI003o0?oo ool0ooooo`3ooom80?ooo`40fMWI003o0?ooool0ooooo`3ooom80?ooo`40fMWI0000\ \>"], ImageRangeCache->{{{0, 837}, {418, 0}} -> {-1.74776, -0.0990263, \ 0.00432564, 0.00432564}}] }, Closed]], Cell[CellGroupData[{ Cell["\<\ Un caso \"esteso\" \ \>", "Subsubsection", FontSize->24], Cell["\<\ A dimostrazione del fatto che l'orizzonte (con \[Sigma] = 1) non ha, come per \ alcune metriche di BH, una reale valenza fisica (anche se rappresenta \ comunque una soglia ben individuata), \[EGrave] possibile spingere \ formalmente l'analisi numerica (qui nel caso (1, 1) ) anche al di l\[AGrave] \ di esso: \ \>", "Text", FontSize->24], Cell[GraphicsData["PostScript", "\<\ %! %%Creator: Mathematica %%AspectRatio: .53052 %%ImageSize: 890 472.16 MathPictureStart /Mabs { Mgmatrix idtransform Mtmatrix dtransform } bind def /Mabsadd { Mabs 3 -1 roll add 3 1 roll add exch } bind def %% Graphics %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 10 scalefont setfont % Background color 1 1 1 r MFill % Scaling calculations 0.333333 0.212207 0.106103 0.212207 [ [ 0 0 0 0 ] [ 1 .53052 0 0 ] ] MathScale % Start of Graphics 1 setlinecap 1 setlinejoin newpath 0 0 m 1 0 L 1 .53052 L 0 .53052 L closepath clip newpath % Start of user PostScript /mathtops { gsave MBeginOrig moveto MEndOrig currentpoint grestore } bind def /MAtocoords { mathtops 4 2 roll mathtops 4 copy pop pop 3 -1 roll sub /arry exch def exch sub /arrx exch def arrx dup mul arry dup mul add sqrt /arrl exch def translate } bind def /MAarrowhead1 { gsave MAtocoords arrl 0. eq { 0 0 Mdot } { [ arrx arrl div arry arrl div -1 arry mul arrl div arrx arrl div 0 0 ] concat -0.01 0.0025 moveto 0 0 lineto -0.01 -0.0025 lineto fill -0.01 0.0025 moveto 0 0 lineto -0.01 -0.0025 lineto -0.01 0.0025 lineto stroke } ifelse grestore } def % End of user PostScript 0 0 0 r .5 Mabswid [ ] 0 setdash 0 .1061 m .01247 .11018 L .02608 .11446 L .03891 .11833 L .05129 .12193 L .06453 .12564 L .07735 .1291 L .09106 .13268 L .10437 .13603 L .11727 .13916 L .13111 .14241 L .14455 .14546 L .15759 .14833 L .1716 .15132 L .18521 .15413 L .19983 .15705 L .21406 .15981 L .22789 .16241 L .24277 .16513 L .25725 .1677 L .27281 .17037 L .28799 .17291 L .30275 .17531 L .31864 .17781 L .33333 .18007 L s 0 .1061 m .00914 .11763 L .01921 .12897 L .02886 .13872 L .03835 .14742 L .04872 .15608 L .05902 .16392 L .07031 .17179 L .08157 .179 L .09278 .18562 L .10515 .19236 L .1175 .1986 L .12981 .20439 L .14343 .21034 L .15705 .21589 L .17211 .22161 L .18723 .22696 L .20235 .23197 L .21912 .23716 L .23595 .24204 L .25462 .24711 L .27342 .25188 L .2923 .25638 L .31329 .26107 L .33333 .26528 L s 0 .1061 m .00637 .12363 L .01348 .14013 L .02042 .15384 L .0274 .16582 L .03521 .17754 L .04315 .18802 L .05207 .19844 L .06121 .2079 L .07053 .21654 L .08108 .2253 L .09191 .23338 L .10299 .24085 L .11558 .24852 L .12853 .25566 L .14329 .26301 L .15856 .26989 L .17432 .27633 L .19237 .28302 L .21112 .28931 L .23269 .29584 L .25525 .30201 L .27881 .30783 L .30611 .31391 L .33333 .31937 L s 0 .1061 m .00452 .12776 L .00963 .14756 L .01469 .16373 L .01986 .17769 L .02576 .19124 L .03185 .20328 L .03883 .21521 L .04612 .22601 L .0537 .23586 L .06245 .24584 L .07162 .25503 L .08121 .26353 L .09235 .27226 L .1041 .2804 L .11783 .28878 L .13244 .29663 L .14797 .304 L .16631 .31165 L .18602 .31887 L .20957 .32638 L .23526 .33348 L .26329 .3402 L .29742 .34724 L .33333 .35358 L s 0 .1061 m .00331 .13053 L .00708 .15246 L .01087 .17018 L .01478 .18537 L .01929 .20007 L .02401 .21309 L .02949 .22596 L .0353 .2376 L .04142 .24821 L .04859 .25896 L .05623 .26887 L .06435 .27804 L .07395 .28746 L .08427 .29624 L .0966 .30531 L .11004 .31381 L .12468 .32179 L .14247 .33011 L .16222 .33795 L .18669 .34614 L .21454 .35389 L .24638 .36124 L .28736 .36896 L .33333 .37593 L s 0 .1061 m .0025 .13242 L .00537 .15576 L .00827 .17449 L .01129 .1905 L .01481 .20593 L .01852 .21959 L .02288 .23309 L .02753 .24529 L .03249 .2564 L .03836 .26767 L .04469 .27805 L .05151 .28766 L .05968 .29755 L .0686 .30678 L .07944 .31631 L .09148 .32525 L .10488 .33367 L .12158 .34244 L .14065 .35072 L .16509 .35938 L .19406 .3676 L .22879 .3754 L .27618 .38361 L .33333 .39103 L s 0 .1061 m .00194 .13374 L .00418 .15805 L .00646 .17747 L .00884 .19402 L .01164 .20997 L .01461 .22406 L .01811 .23798 L .02188 .25056 L .02594 .26202 L .03077 .27364 L .03604 .28435 L .04175 .29428 L .04868 .30449 L .05633 .31403 L .06576 .32389 L .0764 .33315 L .08845 .34186 L .10377 .35096 L .12171 .35956 L .14541 .36856 L .17457 .37711 L .21115 .38524 L .23418 .38934 L .26416 .39381 L .33333 .40157 L s 0 .1061 m .00155 .13469 L .00333 .15968 L .00516 .17959 L .00708 .19653 L .00934 .21283 L .01175 .22723 L .01462 .24145 L .01771 .2543 L .02106 .26601 L .02508 .27788 L .02948 .28883 L .03429 .29898 L .04018 .30943 L .04674 .31918 L .05491 .32928 L .06425 .33877 L .07497 .34771 L .08885 .35704 L .10543 .36587 L .12792 .37512 L .15653 .38392 L .19399 .3923 L .21905 .3966 L .25159 .40112 L .33333 .40913 L s 0 .1061 m .00126 .13538 L .00271 .16087 L .0042 .18114 L .00578 .19836 L .00763 .21492 L .00963 .22955 L .012 .24399 L .01457 .25703 L .01737 .26892 L .02074 .28098 L .02445 .2921 L .02854 .30241 L .03356 .31303 L .0392 .32296 L .04628 .33323 L .05446 .34289 L .06396 .35199 L .07642 .3615 L .09158 .37051 L .11261 .37995 L .12585 .38464 L .14017 .38893 L .17768 .39749 L .20212 .40164 L .23592 .40618 L .27583 .41031 L .33333 .41471 L s 0 .1061 m .00104 .13591 L .00224 .16177 L .00348 .1823 L .00479 .19974 L .00634 .21649 L .00801 .23128 L .01 .24589 L .01217 .25908 L .01453 .27111 L .01739 .2833 L .02054 .29456 L .02403 .30499 L .02835 .31574 L .03322 .32579 L .03938 .33619 L .04655 .34598 L .05495 .35521 L .06611 .36485 L .07988 .37399 L .09935 .38358 L .11183 .38834 L .12554 .3927 L .16245 .4014 L .18732 .40562 L .22286 .41024 L .26661 .41444 L .29822 .41679 L .33333 .41893 L s .33333 .18007 m .34089 .18125 L .3488 .18258 L .35595 .18387 L .36261 .18514 L .36951 .18655 L .37598 .18796 L .38271 .18952 L .38908 .1911 L .39511 .19268 L .40146 .19445 L .40752 .19625 L .41332 .19808 L .41949 .20014 L .42545 .20226 L .43183 .20467 L .43807 .20719 L .44419 .20983 L .45089 .21291 L .45761 .21622 L .46515 .22024 L .47303 .2248 L .48156 .23021 L .49274 .23814 L .51512 .2576 L s .33333 .26528 m .3372 .26608 L .34139 .26699 L .34529 .26787 L .34904 .26874 L .35301 .26971 L .35683 .27069 L .36089 .27177 L .3648 .27286 L .36858 .27396 L .37262 .27519 L .37654 .27644 L .38034 .27772 L .38444 .27916 L .38845 .28064 L .3928 .28234 L .39709 .28411 L .40135 .28596 L .40605 .28814 L .41079 .29049 L .41617 .29335 L .42183 .29661 L .42799 .30048 L .43611 .3062 L .45241 .32033 L s .33333 .31937 m .33587 .31986 L .33865 .32042 L .34126 .32097 L .34378 .32151 L .34648 .32212 L .34908 .32273 L .35187 .32341 L .35457 .32409 L .3572 .32479 L .36002 .32557 L .36277 .32636 L .36545 .32718 L .36834 .3281 L .37119 .32906 L .37428 .33015 L .37735 .33131 L .38039 .33252 L .38375 .33395 L .38716 .3355 L .39102 .3374 L .39508 .33958 L .3995 .3422 L .4053 .3461 L .41684 .35591 L s .33333 .35358 m .33518 .35389 L .3372 .35424 L .33911 .35458 L .34096 .35493 L .34293 .35531 L .34485 .35569 L .3469 .35612 L .3489 .35656 L .35083 .357 L .35292 .3575 L .35495 .35802 L .35694 .35854 L .35908 .35914 L .36119 .35976 L .36348 .36048 L .36575 .36124 L .36801 .36204 L .3705 .36299 L .37301 .36402 L .37586 .3653 L .37885 .36678 L .38208 .36857 L .3863 .37126 L .3946 .37815 L s .33333 .37593 m .33475 .37613 L .33631 .37635 L .33777 .37657 L .33919 .3768 L .34071 .37704 L .34219 .37729 L .34376 .37757 L .3453 .37785 L .34679 .37814 L .34839 .37847 L .34996 .37881 L .35148 .37916 L .35313 .37956 L .35475 .37997 L .35651 .38045 L .35824 .38096 L .35996 .3815 L .36186 .38214 L .36378 .38285 L .36594 .38373 L .36819 .38476 L .37063 .386 L .37378 .3879 L .37989 .39287 L s .33333 .39103 m .33446 .39116 L .3357 .39131 L .33686 .39146 L .33799 .3916 L .3392 .39177 L .34037 .39193 L .34162 .39212 L .34284 .39231 L .34402 .3925 L .34529 .39272 L .34653 .39295 L .34774 .39319 L .34904 .39346 L .35032 .39374 L .3517 .39407 L .35307 .39442 L .35442 .3948 L .35591 .39525 L .3574 .39574 L .35908 .39636 L .36083 .39709 L .36271 .39799 L .36513 .39936 L .36974 .40302 L s .33333 .40157 m .33425 .40166 L .33526 .40176 L .33621 .40185 L .33713 .40195 L .33811 .40206 L .33907 .40218 L .34008 .40231 L .34107 .40244 L .34203 .40257 L .34306 .40272 L .34407 .40288 L .34504 .40305 L .3461 .40323 L .34713 .40343 L .34824 .40366 L .34934 .40391 L .35043 .40418 L .35162 .4045 L .35282 .40486 L .35415 .40531 L .35554 .40584 L .35702 .40649 L .35787 .40692 L .35892 .40751 L .36249 .41028 L s .33333 .40913 m .3341 .4092 L .33494 .40926 L .33573 .40933 L .33649 .4094 L .3373 .40948 L .33809 .40956 L .33894 .40965 L .33976 .40974 L .34055 .40984 L .3414 .40994 L .34223 .41006 L .34304 .41017 L .34391 .41031 L .34476 .41045 L .34567 .41062 L .34657 .4108 L .34746 .41099 L .34844 .41123 L .34941 .41149 L .3505 .41182 L .35162 .41222 L .35281 .41271 L .35349 .41303 L .35433 .41348 L .35715 .41562 L s .33333 .41471 m .33398 .41476 L .33469 .41481 L .33535 .41486 L .336 .4149 L .33668 .41496 L .33735 .41502 L .33806 .41508 L .33875 .41515 L .33942 .41522 L .34013 .4153 L .34083 .41538 L .3415 .41546 L .34223 .41556 L .34294 .41567 L .34371 .41579 L .34446 .41592 L .3452 .41607 L .34601 .41624 L .34682 .41644 L .34771 .41669 L .34864 .41699 L .34962 .41737 L .35017 .41762 L .35085 .41797 L .35162 .41843 L .35312 .41965 L s .33333 .41893 m .33389 .41896 L .33449 .41899 L .33506 .41903 L .33561 .41907 L .3362 .41911 L .33677 .41915 L .33737 .4192 L .33796 .41924 L .33853 .4193 L .33914 .41935 L .33973 .41941 L .34031 .41948 L .34092 .41955 L .34152 .41963 L .34217 .41972 L .34281 .41982 L .34344 .41993 L .34412 .42007 L .3448 .42022 L .34555 .42041 L .34632 .42064 L .34714 .42094 L .3476 .42113 L .34816 .42141 L .34879 .42177 L .35001 .42275 L s [ .01 .01 ] 0 setdash .51516 .25765 m .53573 .27573 L .54589 .28313 L .55359 .2882 L .56016 .29219 L .5666 .29583 L .57243 .29892 L .57835 .30187 L .58385 .30445 L .589 .30674 L .59438 .309 L .59948 .31103 L .60433 .31287 L .60945 .31473 L .61437 .31642 L .61959 .31813 L .62463 .3197 L .6295 .32114 L .63472 .32262 L .63979 .32399 L .64524 .32539 L .65057 .32669 L .65577 .3279 L .66141 .32915 L .66667 .33027 L s .45245 .32036 m .4754 .33922 L .48728 .34655 L .49653 .35141 L .50458 .35517 L .51263 .35852 L .52005 .36131 L .52771 .36393 L .53495 .36617 L .54186 .36814 L .54917 .37004 L .55623 .37173 L .56307 .37323 L .57042 .37472 L .57761 .37606 L .5854 .37739 L .59309 .3786 L .60068 .37969 L .60902 .38079 L .61736 .3818 L .62659 .38281 L .63594 .38374 L .64542 .3846 L .65615 .38547 L .66667 .38625 L s .41687 .35594 m .43141 .36783 L .43868 .37229 L .45064 .37818 L .45986 .38181 L .46892 .38479 L .47722 .38713 L .4858 .38921 L .49394 .39094 L .50171 .39239 L .50999 .39376 L .51802 .39494 L .52582 .39596 L .53427 .39695 L .54256 .39782 L .55161 .39866 L .56059 .3994 L .56953 .40007 L .57942 .40072 L .58938 .4013 L .60053 .40188 L .61195 .4024 L .62369 .40286 L .63721 .40333 L .65152 .40376 L .66667 .40415 L s .39463 .37818 m .40326 .3853 L .40769 .38807 L .41455 .39156 L .42618 .39595 L .43596 .39867 L .44483 .40061 L .45394 .40223 L .46258 .40351 L .47085 .40453 L .47966 .40547 L .48821 .40625 L .49654 .40691 L .50556 .40752 L .51443 .40805 L .52412 .40856 L .53374 .40899 L .54332 .40937 L .55392 .40974 L .56461 .41006 L .57657 .41037 L .58883 .41065 L .60145 .41089 L .61599 .41113 L .6314 .41135 L .64794 .41154 L .66667 .41172 L s .37991 .39288 m .38517 .39727 L .38749 .39877 L .39153 .40095 L .39794 .40359 L .4036 .40536 L .40918 .40675 L .41911 .40863 L .42826 .40991 L .43689 .41085 L .44601 .41165 L .4548 .41228 L .46331 .41278 L .47248 .41324 L .48146 .41361 L .4912 .41396 L .50083 .41425 L .51035 .4145 L .52082 .41473 L .53129 .41493 L .5429 .41512 L .55467 .41529 L .56662 .41543 L .58018 .41557 L .59424 .41569 L .60895 .4158 L .62629 .4159 L .64522 .416 L .66667 .41608 L s .36976 .40304 m .37433 .40667 L .37642 .40787 L .38011 .40957 L .38613 .41154 L .39157 .4128 L .39702 .41376 L .40181 .41443 L .40689 .41501 L .41611 .41583 L .42544 .41644 L .43442 .41689 L .44311 .41724 L .45246 .41755 L .4616 .41779 L .4715 .41801 L .48126 .41819 L .49089 .41834 L .50145 .41848 L .51197 .4186 L .52361 .41871 L .53534 .4188 L .54721 .41888 L .56058 .41896 L .57435 .41903 L .58864 .41908 L .60527 .41914 L .62313 .41919 L .64493 .41924 L .66667 .41927 L s .3625 .41029 m .36517 .41248 L .36651 .41331 L .3684 .41427 L .37181 .41559 L .37491 .41646 L .37752 .41705 L .38311 .41799 L .38814 .4186 L .39292 .41905 L .39726 .41937 L .40642 .4199 L .41518 .42025 L .42453 .42054 L .43361 .42076 L .44338 .42094 L .45296 .42109 L .46235 .4212 L .47257 .42131 L .48268 .42139 L .49377 .42147 L .50483 .42153 L .51589 .42159 L .5282 .42164 L .54068 .42168 L .55337 .42172 L .56781 .42176 L .58282 .42179 L .60035 .42182 L .61928 .42184 L .64017 .42187 L .66667 .42189 L s .35716 .41563 m .3595 .41748 L .36071 .41816 L .36243 .41893 L .36562 .41995 L .36717 .42032 L .36857 .4206 L .37109 .42103 L .37619 .42166 L .37898 .42191 L .38152 .42211 L .38636 .42241 L .39085 .42262 L .39971 .42294 L .40444 .42307 L .40878 .42317 L .41813 .42334 L .42721 .42346 L .43702 .42357 L .44662 .42365 L .45703 .42372 L .46731 .42378 L .47747 .42383 L .48862 .42387 L .49974 .4239 L .51086 .42393 L .52322 .42396 L .53575 .42399 L .54987 .42401 L .56446 .42403 L .57962 .42404 L .59735 .42406 L .61651 .42407 L .63768 .42408 L .6648 .4241 L .66667 .4241 L s .35313 .41966 m .35457 .42084 L .35521 .42123 L .35631 .42179 L .3579 .42241 L .35951 .42288 L .36091 .4232 L .36351 .42366 L .36619 .424 L .36886 .42426 L .37163 .42447 L .3765 .42475 L .38115 .42494 L .38547 .42508 L .39461 .42529 L .39959 .42537 L .40435 .42544 L .41344 .42554 L .42324 .42562 L .4328 .42568 L .44316 .42573 L .45335 .42577 L .46339 .4258 L .47437 .42583 L .48528 .42585 L .49614 .42587 L .50817 .42589 L .52028 .4259 L .53385 .42592 L .54774 .42593 L .56204 .42594 L .57855 .42595 L .59606 .42596 L .61493 .42597 L .63819 .42597 L .6654 .42598 L .66667 .42598 L s .35002 .42276 m .35131 .42378 L .35188 .42411 L .3529 .42457 L .35439 .42507 L .35591 .42544 L .35726 .42569 L .35978 .42603 L .36115 .42618 L .3624 .42628 L .36501 .42647 L .36742 .4266 L .36991 .42671 L .37263 .42681 L .37744 .42694 L .38184 .42703 L .38633 .4271 L .39125 .42717 L .39631 .42722 L .40093 .42726 L .41033 .42732 L .42008 .42737 L .42961 .4274 L .43993 .42743 L .45008 .42746 L .46007 .42748 L .471 .42749 L .48185 .42751 L .49381 .42752 L .50581 .42753 L .51789 .42754 L .53142 .42755 L .54527 .42755 L .55951 .42756 L .57594 .42757 L .59335 .42757 L .61422 .42757 L .63766 .42758 L .66516 .42758 L .66667 .42758 L s [ ] 0 setdash .66667 .33027 m .67526 .33202 L .68495 .33392 L .69436 .3357 L .70371 .3374 L .714 .3392 L .72425 .34093 L .73553 .34276 L .74679 .34452 L .75802 .3462 L .77041 .34799 L .78279 .3497 L .79513 .35134 L .80878 .35308 L .82243 .35475 L .83754 .35652 L .85269 .35822 L .86787 .35985 L .88471 .36158 L .90162 .36324 L .92041 .365 L .93936 .36669 L .95842 .36831 L .97966 .37003 L 1 .3716 L s .66667 .38625 m .67622 .38691 L .68691 .38763 L .69722 .3883 L .7074 .38895 L .71852 .38964 L .72952 .3903 L .74153 .39101 L .75344 .39169 L .76523 .39234 L .77812 .39303 L .7909 .3937 L .80354 .39434 L .81741 .39502 L .83115 .39568 L .84623 .39638 L .86121 .39705 L .87608 .39769 L .89241 .39838 L .90865 .39904 L .9265 .39974 L .9443 .40042 L .96202 .40106 L .98153 .40175 L 1 .40239 L s .66667 .40415 m .6778 .40441 L .69013 .4047 L .70189 .40497 L .71338 .40523 L .7258 .4055 L .73795 .40577 L .75108 .40605 L .76393 .40632 L .7765 .40658 L .79009 .40686 L .80339 .40713 L .8164 .40739 L .83047 .40766 L .84425 .40792 L .85915 .4082 L .87376 .40847 L .88805 .40873 L .90353 .40901 L .91869 .40927 L .9351 .40956 L .95121 .40983 L .96699 .41009 L .98409 .41037 L 1 .41062 L s .66667 .41172 m .67894 .41183 L .69243 .41195 L .70521 .41206 L .7176 .41217 L .73089 .41228 L .74379 .41239 L .75762 .4125 L .77105 .41262 L .78408 .41272 L .79805 .41284 L .81162 .41295 L .82478 .41305 L .8389 .41317 L .85261 .41327 L .86731 .41339 L .88159 .4135 L .89544 .41361 L .91031 .41372 L .92475 .41383 L .94023 .41395 L .95528 .41406 L .96988 .41417 L .98555 .41428 L 1 .41439 L s .66667 .41608 m .67956 .41613 L .69368 .41618 L .70699 .41623 L .71985 .41627 L .73358 .41632 L .74686 .41637 L .76104 .41641 L .77475 .41646 L .78799 .41651 L .80214 .41656 L .81582 .4166 L .82903 .41665 L .84315 .4167 L .8568 .41674 L .87137 .41679 L .88546 .41684 L .89908 .41689 L .91362 .41693 L .92769 .41698 L .94269 .41703 L .95722 .41708 L .97125 .41712 L .98624 .41717 L 1 .41722 L s .66667 .41927 m .67986 .4193 L .69428 .41932 L .70785 .41934 L .72093 .41936 L .73489 .41938 L .74834 .4194 L .76268 .41942 L .77652 .41945 L .78986 .41947 L .80409 .41949 L .81782 .41951 L .83104 .41953 L .84516 .41955 L .85877 .41957 L .87327 .41959 L .88727 .41962 L .90077 .41964 L .91516 .41966 L .92904 .41968 L .94383 .4197 L .95811 .41972 L .97188 .41974 L .98656 .41976 L 1 .41979 L s .66667 .42189 m .68001 .4219 L .69458 .42191 L .70828 .42192 L .72146 .42193 L .73552 .42194 L .74906 .42195 L .76348 .42196 L .77738 .42197 L .79077 .42198 L .80503 .42199 L .81878 .422 L .83201 .42201 L .84612 .42202 L .85971 .42203 L .87418 .42204 L .88814 .42205 L .90158 .42206 L .91589 .42207 L .92969 .42208 L .94437 .42209 L .95854 .4221 L .97218 .42211 L .98671 .42212 L 1 .42213 L s .66667 .4241 m .68008 .4241 L .69473 .42411 L .70849 .42411 L .72173 .42412 L .73584 .42412 L .74943 .42413 L .76388 .42413 L .77781 .42414 L .79123 .42414 L .80551 .42415 L .81926 .42415 L .8325 .42416 L .84661 .42416 L .86019 .42417 L .87464 .42417 L .88857 .42418 L .90198 .42418 L .91626 .42419 L .93002 .4242 L .94464 .4242 L .95875 .42421 L .97233 .42421 L .98678 .42422 L 1 .42422 L s .66667 .42598 m .68012 .42598 L .69481 .42599 L .7086 .42599 L .72188 .42599 L .73601 .42599 L .74962 .426 L .7641 .426 L .77805 .426 L .79147 .426 L .80576 .42601 L .81952 .42601 L .83276 .42601 L .84687 .42602 L .86045 .42602 L .87489 .42602 L .88881 .42602 L .9022 .42603 L .91646 .42603 L .93019 .42603 L .94479 .42604 L .95886 .42604 L .97241 .42604 L .98682 .42604 L 1 .42605 L s .66667 .42758 m .68015 .42758 L .69485 .42759 L .70867 .42759 L .72196 .42759 L .73611 .42759 L .74973 .42759 L .76422 .42759 L .77818 .4276 L .79161 .4276 L .8059 .4276 L .81967 .4276 L .83291 .4276 L .84701 .4276 L .86059 .4276 L .87503 .42761 L .88894 .42761 L .90232 .42761 L .91657 .42761 L .93029 .42761 L .94487 .42761 L .95893 .42762 L .97245 .42762 L .98684 .42762 L 1 .42762 L s .33333 .43944 m .66667 .43944 L .66667 .1061 L .33333 .43944 L s .22723 0 m .75775 .53052 L s % Start of user PostScript -0.5 -0.5 2. 2. MAarrowhead1 % End of user PostScript .01502 .42441 m .43944 0 L s % Start of user PostScript -1.5 1.5 0.5 -0.5 MAarrowhead1 % End of user PostScript 0 .1061 m 1 .1061 L s % Start of user PostScript -1.5708 0 3.14159 0 MAarrowhead1 % End of user PostScript .33333 0 m .33333 .53052 L s % Start of user PostScript 0 -0.5 0 2. MAarrowhead1 % End of user PostScript gsave .33758 .53476 -61 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (u) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave 1 .11035 -72.25 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (v) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .44368 -0.00424 -61 -4 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (z) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .76199 .53476 -61 -18.8125 Mabsadd m 1 1 Mabs scale currentpoint translate 0 22.8125 translate 1 -1 scale 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (t) show 70.250 14.438 moveto %%IncludeResource: font Courier %%IncludeFont: Courier /Courier findfont 12.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .16667 .06366 -110.563 -14.1875 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.375 translate 1 -1 scale 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Onda) show 106.938 19.750 moveto (singola) show 158.125 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .5 .06366 -102.594 -14.1875 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.375 translate 1 -1 scale 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Interazione) show 142.188 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore gsave .83333 .06366 -110.563 -14.1875 Mabsadd m 1 1 Mabs scale currentpoint translate 0 28.375 translate 1 -1 scale 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 63.000 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor (Onda) show 106.938 19.750 moveto (singola) show 158.125 19.750 moveto %%IncludeResource: font Helvetica-Italic %%IncludeFont: Helvetica-Italic /Helvetica-Italic findfont 16.000 scalefont [1 0 0 -1 0 0 ] makefont setfont 0.000 0.000 0.000 setrgbcolor 0.000 0.000 rmoveto 1.000 setlinewidth grestore % End of Graphics MathPictureEnd \ \>"], "Graphics", ImageSize->{838, 444.375}, ImageMargins->{{35, 0}, {0, 0}}, ImageRegion->{{0, 1}, {0, 1}}, ImageCache->GraphicsData["Bitmap", "\<\ CF5dJ6E]HGAYHf4PAg9QL6QYHgP3oool00`000000oooo0?ooo`3o0?ooonl0oooo0@3IfMT00=X0oooo00<00000 0?ooo`3oool0>P3oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo0?l0ooool03oool1 0=WIf@00f`3oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo03P0oooo00<000000?oo o`3oool0o`3ooooa0?ooo`40fMWI003L0?ooo`030000003oool0oooo03P0oooo00<000000?ooo`3o ool0=`3oool00`000000oooo0?ooo`3o0?oooo80oooo0@3IfMT00=d0oooo00<000000?ooo`3oool0 =`3oool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo0?l0ooool`3oool10=WIf@00gP3o ool00`000000oooo0?ooo`0f0?ooo`030000003oool0oooo03D0oooo00<000000?ooo`3oool0o`3o oood0?ooo`40fMWI003O0?ooo`030000003oool0oooo03D0oooo00<000000?ooo`3oool0=03oool0 0`000000oooo0?ooo`3o0?ooooD0oooo0@3IfMT00>00oooo00<000000?ooo`3oool0=03oool00`00 0000oooo0?ooo`0c0?ooo`030000003oool0oooo0?l0oooomP3oool10=WIf@00h@3oool00`000000 oooo0?ooo`0c0?ooo`030000003oool0oooo0380oooo00<000000?ooo`3oool0o`3oooog0?ooo`40 fMWI003R0?ooo`030000003oool0oooo0380oooo00<000000?ooo`3oool0<@3oool00`000000oooo 0?ooo`3o0?ooooP0oooo0@3IfMT00><0oooo00<000000?ooo`3oool0<@3oool00`000000oooo0?oo o`0`0?ooo`030000003oool0oooo0?l0oooon@3oool10=WIf@00i03oool00`000000oooo0?ooo`0` 0?ooo`030000003oool0oooo02l0oooo00<000000?ooo`3oool0o`3ooooj0?ooo`40fMWI003U0?oo o`030000003oool0oooo02l0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`3o0?oo oo/0oooo0@3IfMT00>H0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`0]0?ooo`03 0000003oool0oooo0?l0ooooo03oool10=WIf@00i`3oool00`000000oooo0?ooo`0]0?ooo`030000 003oool0oooo02`0oooo00<000000?ooo`3oool0o`3oooom0?ooo`40fMWI003X0?ooo`030000003o ool0oooo02`0oooo00<000000?ooo`3oool0:`3oool00`000000oooo0?ooo`3o0?ooooh0oooo0@3I fMT00>T0oooo00<000000?ooo`3oool0:`3oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0 oooo0?l0ooooo`3oool10=WIf@00jP3oool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo 02T0oooo00<000000?ooo`3oool0o`3ooooo0?ooo`40oooo0@3IfMT00>/0oooo00<000000?ooo`3o ool0:@3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo0?l0ooooo`3oool20?ooo`40 fMWI002N0?ooo`A00000BP3oool00`000000oooo0?ooo`0X0?ooo`030000003oool0oooo02L0oooo 00<000000?ooo`3oool0o`3ooon80?ooo`A00000MP3oool10=WIf@00W@3oool00d000000oooo0?oo o`020?ooo`03@000003oool0oooo04P0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?oo o`0V0?ooo`030000003oool0oooo0?l0ooooR03oool00d000000oooo0?ooo`020?ooo`03@000003o ool0oooo07<0oooo0@3IfMT00:<0oooo00=000000?ooo`3oool0B03oool00`000000oooo0?ooo`0V 0?ooo`030000003oool0oooo02D0oooo00<000000?ooo`3oool0o`3ooon?0?ooo`03@000003oool0 oooo0780oooo0@3IfMT00600oooo140000050?ooo`03@000003oool0oooo0080oooo00=000000?oo o`3oool00P3oool3@00000030?oood000000oooo00<0oooo0d0000000`3ooom000000?ooo`080?oo o`A000000`3oool01D000000oooo0?ooo`3ooom0000000@0oooo00=000000?ooo`3oool00P3oool3 @00000030?oood000000oooo00<0oooo140000040?ooo`03@000003oool0oooo0080oooo0d000000 0`3ooom000000?ooo`0d0?ooo`030000003oool0oooo02D0oooo00<000000?ooo`3oool0903oool0 0`000000oooo0?ooo`0j0?ooo`05@000003oool0oooo0?oood000000103oool014000000oooo0?oo o`3oool2@00000<0oooo140000040?ooo`03@000003oool0oooo00<0oooo0d000000103ooom00000 0?ooo`3oool6@0000080oooo00=000000?ooo`3oool00P3oool4@00000@0oooo00=000000?ooo`3o ool00P3oool00d000000oooo0?ooo`020?ooo`A00000b03oool4@00000D0oooo00=000000?ooo`3o ool00P3oool00d000000oooo0?ooo`020?ooo`=0000000<0oooo@000003oool00`3oool3@0000003 0?oood000000oooo00P0oooo140000030?ooo`05@000003oool0oooo0?oood000000103oool00d00 0000oooo0?ooo`020?ooo`=0000000<0oooo@000003oool00`3oool4@00000@0oooo00=000000?oo o`3oool00P3oool3@00000030?oood000000oooo05d0oooo0@3IfMT005h0oooo0T0000040?ooo`90 00000`3oool00d000000oooo0?ooo`020?ooo`05@000003oool0oooo0?oood0000000`3oool2@000 00<0oooo00A000000?ooo`3oool0oooo0T0000080?ooo`03@000003oool0oooo0080oooo00A00000 0?ooo`3ooom000000`3oool00d000000oooo0?ooo`020?ooo`05@000003oool0oooo0?oood000000 0`3oool2@00000<0oooo00=000000?ooo`3oool00P3oool01D000000oooo0?ooo`3ooom0000000<0 oooo00A000000?ooo`3oool0oooo0T00000f0?ooo`030000003oool0oooo02@0oooo00<000000?oo o`3oool08`3oool00`000000oooo0?ooo`0k0?ooo`05@000003oool0oooo0?oood000000103oool0 1D000000oooo0?ooo`3ooom0000000<0oooo00=000000?ooo`3oool00P3oool01D000000oooo0?oo o`3ooom0000000@0oooo00A000000?ooo`3oool0oooo0T0000020?ooo`03@000003oool0oooo00D0 oooo00E000000?ooo`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood000000103oool0 1D000000oooo0?ooo`3ooom0000000@0oooo00=000000?ooo`3oool0``3oool2@00000@0oooo0T00 00030?ooo`03@000003oool0oooo0080oooo00E000000?ooo`3oool0oooo@00000030?ooo`900000 0`3oool014000000oooo0?ooo`3oool2@00000P0oooo00=000000?ooo`3oool00P3oool014000000 oooo0?oood0000030?ooo`03@000003oool0oooo0080oooo00E000000?ooo`3oool0oooo@0000003 0?ooo`9000000`3oool00d000000oooo0?ooo`020?ooo`05@000003oool0oooo0?oood0000000`3o ool014000000oooo0?ooo`3oool2@00005h0oooo0@3IfMT005h0oooo00=000000?ooo`3oool01@3o ool014000000oooo0?oood0000040?ooo`05@000003oool0oooo0?oood000000103oool01D000000 oooo0?ooo`3ooom0000000@0oooo00=000000?ooo`3oool01P3oool00d000000oooo0?ooo`020?oo o`04@000003oool0oooo@00000<0oooo00=000000?ooo`3oool00P3oool01D000000oooo0?ooo`3o oom0000000@0oooo00E000000?ooo`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood00 00000`3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo03D0oooo00<000000?ooo`3o ool08`3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo03`0oooo00E000000?ooo`3o ool0oooo@00000040?ooo`05@000003oool0oooo0?oood0000000`3oool00d000000oooo0?ooo`02 0?ooo`05@000003oool0oooo0?oood000000103oool00d000000oooo0?ooo`020?ooo`05@000003o ool0oooo0?oood0000001P3oool01D000000oooo0?ooo`3ooom0000000@0oooo00E000000?ooo`3o ool0oooo@00000040?ooo`05@000003oool0oooo0?oood000000103oool00d000000oooo0?ooo`33 0?ooo`03@000003oool0oooo00D0oooo00A000000?ooo`3ooom00000103oool01D000000oooo0?oo o`3ooom0000000@0oooo00E000000?ooo`3oool0oooo@00000040?ooo`03@000003oool0oooo00H0 oooo00=000000?ooo`3oool00P3oool014000000oooo0?oood0000030?ooo`03@000003oool0oooo 0080oooo00E000000?ooo`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood000000103o ool01D000000oooo0?ooo`3ooom0000000<0oooo00=000000?ooo`3oool00P3oool00d000000oooo 0?ooo`1L0?ooo`40fMWI001M0?ooo`03@000003oool0oooo00H0oooo00A000000?ooo`3ooom00000 103oool01D000000oooo0?ooo`3ooom0000000D0oooo00A000000?ooo`3ooom00000103oool00d00 0000oooo0?ooo`0;0?ooo`05@000003oool0oooo0?oood0000000P3oool00d000000oooo0?ooo`02 0?ooo`05@000003oool0oooo0?oood0000001@3oool014000000oooo0?oood0000050?ooo`05@000 003oool0oooo0?oood0000000P3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo03H0 oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo03h0 oooo00A000000?ooo`3ooom00000103oool01D000000oooo0?ooo`3ooom0000000<0oooo00=00000 0?ooo`3oool01P3oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo0080oooo00=00000 0?ooo`3oool00P3oool00d000000oooo0?ooo`040?ooo`04@000003oool0oooo@00000D0oooo00A0 00000?ooo`3ooom00000103oool01D000000oooo0?ooo`3ooom00000003oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0200oooo00<0 00000?ooo`3oool0?`3oool01D000000oooo0?ooo`3ooom0000000@0oooo00A000000?ooo`3ooom0 00000`3oool7@00000<0oooo00=000000?ooo`3oool00P3oool6@00000@0oooo00=000000?ooo`3o ool00`3oool014000000oooo0?oood0000050?ooo`05@000003oool0oooo0?oood000000103oool0 0d000000oooo0?ooo`07@0000<<0oooo00=000000?ooo`3oool01`3oool014000000oooo0?oood00 00040?ooo`04@000003oool0oooo@00000D0oooo00A000000?ooo`3oool0oooo1T0000090?ooo`=0 0000103oool01D000000oooo0?ooo`3ooom0000000@0oooo00A000000?ooo`3ooom000001@3oool0 14000000oooo0?oood0000050?ooo`05@000003oool0oooo0?oood0000000`3oool6@00005d0oooo 0@3IfMT005d0oooo00=000000?ooo`3oool01`3oool014000000oooo0?oood0000040?ooo`04@000 003oool0oooo@00000D0oooo00=000000?ooo`3oool01P3oool00d000000oooo0?ooo`060?ooo`03 @000003oool0oooo00D0oooo00E000000?ooo`3oool0oooo@00000040?ooo`04@000003oool0oooo @00000D0oooo00A000000?ooo`3ooom000001@3oool01D000000oooo0?ooo`3ooom0000000P0oooo 00=000000?ooo`3oool0=`3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo01l0oooo 00<000000?ooo`3oool0@03oool01D000000oooo0?ooo`3ooom0000000@0oooo00E000000?ooo`3o ool0oooo@00000020?ooo`03@000003oool0oooo00<0oooo00E000000?ooo`3oool0oooo@0000009 0?ooo`03@000003oool0oooo00<0oooo00=000000?ooo`3oool00P3oool014000000oooo0?oood00 00050?ooo`05@000003oool0oooo0?oood000000103oool014000000oooo0?oood0000050?ooo`03 @000003oool0oooo0<40oooo00=000000?ooo`3oool01`3oool014000000oooo0?oood0000040?oo o`04@000003oool0oooo@00000D0oooo00=000000?ooo`3oool01P3oool00d000000oooo0?ooo`06 0?ooo`03@000003oool0oooo00D0oooo00E000000?ooo`3oool0oooo@00000040?ooo`04@000003o ool0oooo@00000D0oooo00A000000?ooo`3ooom000001@3oool01D000000oooo0?ooo`3ooom00000 00P0oooo00=000000?ooo`3oool0F`3oool10=WIf@00G@3oool00d000000oooo0?ooo`070?ooo`04 @000003oool0oooo@00000@0oooo00E000000?ooo`3oool0oooo@00000040?ooo`05@000003oool0 oooo0?oood000000103oool00d000000oooo0?ooo`060?ooo`03@000003oool0oooo0080oooo00A0 00000?ooo`3ooom000000`3oool00d000000oooo0?ooo`020?ooo`04@000003oool0oooo@00000D0 oooo00E000000?ooo`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood0000000`3oool0 0d000000oooo0?ooo`020?ooo`03@000003oool0oooo03P0oooo00<000000?ooo`3oool07`3oool0 0`000000oooo0?ooo`0N0?ooo`030000003oool0oooo0440oooo00E000000?ooo`3oool0oooo@000 00040?ooo`05@000003oool0oooo0?oood0000000`3oool00d000000oooo0?ooo`020?ooo`05@000 003oool0oooo0?oood000000103oool00d000000oooo0?ooo`020?ooo`03@000003oool0oooo00@0 oooo00E000000?ooo`3oool0oooo@00000030?ooo`03@000003oool0oooo0080oooo00E000000?oo o`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood000000103oool00d000000oooo0?oo o`310?ooo`03@000003oool0oooo00L0oooo00A000000?ooo`3ooom00000103oool01D000000oooo 0?ooo`3ooom0000000@0oooo00E000000?ooo`3oool0oooo@00000040?ooo`03@000003oool0oooo 00H0oooo00=000000?ooo`3oool00P3oool014000000oooo0?oood0000030?ooo`03@000003oool0 oooo0080oooo00A000000?ooo`3ooom000001@3oool01D000000oooo0?ooo`3ooom0000000@0oooo 00E000000?ooo`3oool0oooo@00000030?ooo`03@000003oool0oooo0080oooo00=000000?ooo`3o ool0F`3oool10=WIf@00G@3oool00d000000oooo0?ooo`070?ooo`03@000003oool0oooo00900000 0`3oool01D000000oooo0?ooo`3ooom0000000<0oooo0T0000040?ooo`05@000003oool0oooo0?oo od000000203oool00d000000oooo0?ooo`020?ooo`04@000003oool0oooo@00000<0oooo0T000003 0?ooo`05@000003oool0oooo0?oood0000000`3oool2@00000<0oooo00=000000?ooo`3oool00P3o ool01D000000oooo0?ooo`3ooom0000000@0oooo00E000000?ooo`3oool0oooo@000000k0?ooo`03 0000003oool0oooo01h0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`120?ooo`04 @000003oool0oooo0?ooo`9000000`3oool01D000000oooo0?ooo`3ooom0000000<0oooo00=00000 0?ooo`3oool00P3oool014000000oooo0?ooo`3oool2@00000@0oooo00E000000?ooo`3oool0oooo @00000070?ooo`04@000003oool0oooo@00000<0oooo00=000000?ooo`3oool00P3oool014000000 oooo0?ooo`3oool2@00000<0oooo00E000000?ooo`3oool0oooo@00000040?ooo`03@000003oool0 oooo0<40oooo00=000000?ooo`3oool01`3oool00d000000oooo0?ooo`02@00000<0oooo00E00000 0?ooo`3oool0oooo@00000030?ooo`900000103oool01D000000oooo0?ooo`3ooom0000000P0oooo 00=000000?ooo`3oool00P3oool014000000oooo0?oood0000030?ooo`9000000`3oool01D000000 oooo0?ooo`3ooom0000000<0oooo0T0000030?ooo`03@000003oool0oooo0080oooo00E000000?oo o`3oool0oooo@00000040?ooo`05@000003oool0oooo0?oood000000G@3oool10=WIf@00GP3oool0 0d000000oooo0?ooo`060?ooo`05@000003oool0oooo@000003oool00d0000050?ooo`=0000000<0 oooo@000003oool0103oool3@00000X0oooo140000030?ooo`06@000003oool0oooo0?oood000000 oooo0d0000050?ooo`=0000000<0oooo@000003oool00`3oool4@00000@0oooo00=000000?ooo`3o ool00`3oool3@00003d0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?ooo`0L0?ooo`03 0000003oool0oooo04<0oooo00I000000?ooo`3oool0oooo@000003oool3@00000<0oooo0d000003 0?ooo`A00000103oool014000000oooo@000040000030?ooo`=000000`3oool6@0000080oooo00=0 00000?ooo`3oool00P3oool4@00000@0oooo00=000000?oood0000000T0000050?ooo`A00000a@3o ool00d000000oooo0?ooo`060?ooo`05@000003oool0oooo@000003oool00d0000050?ooo`=00000 00<0oooo@000003oool0103oool3@00000X0oooo140000030?ooo`06@000003oool0oooo0?oood00 0000oooo0d0000050?ooo`=0000000<0oooo@000003oool00`3oool4@00000@0oooo00=000000?oo o`3oool00`3oool3@00005h0oooo0@3IfMT005h0oooo00=000000?ooo`3oool01@3oool00d000000 oooo0?ooo`0@0?ooo`03@000003oool0oooo03H0oooo00=000000?ooo`3oool0@`3oool00`000000 oooo0?ooo`0L0?ooo`030000003oool0oooo01/0oooo00<000000?ooo`3oool0A@3oool00d000000 oooo0?ooo`090?ooo`03@000003oool0oooo0?l0oooo00=000000?ooo`3oool01@3oool00d000000 oooo0?ooo`0@0?ooo`03@000003oool0oooo03H0oooo00=000000?ooo`3oool0H`3oool10=WIf@00 G`3oool2@00000@0oooo0T00000B0?ooo`03@000003oool0oooo03H0oooo00=000000?ooo`3oool0 A03oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3oool0 AP3oool00d000000oooo0?ooo`090?ooo`03@000003oool0oooo0?l0oooo0@3oool2@00000@0oooo 0T00000B0?ooo`03@000003oool0oooo03H0oooo00=000000?ooo`3oool0H`3oool10=WIf@00H@3o ool4@00001@0oooo00=000000?ooo`3oool05`3oool00d000000oooo0?ooo`0L0?ooo`03@000003o ool0oooo04D0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`0I0?ooo`030000003o ool0oooo04L0oooo00=000000?ooo`3oool02P3oool00d000000oooo0?ooo`0O0?ooo`03@000003o ool0oooo0=l0oooo1400000D0?ooo`03@000003oool0oooo01L0oooo00=000000?ooo`3oool0703o ool00d000000oooo0?ooo`1S0?ooo`40fMWI003k0?ooo`030000003oool0oooo01T0oooo00<00000 0?ooo`3oool0603oool00`000000oooo0?ooo`3o0?ooool0oooo4P3oool10=WIf@00o03oool00`00 0000oooo0?ooo`0H0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0o`3ooooo0?oo oa<0oooo0@3IfMT00?d0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`0F0?ooo`03 0000003oool0oooo0?l0ooooo`3ooolD0?ooo`40fMWI003n0?ooo`030000003oool0oooo01H0oooo 00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`3o0?ooool0oooo5@3oool10=WIf@00o`3o ool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0o`3o oooo0?oooaH0oooo0@3IfMT00?l0oooo0@3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0 oooo01<0oooo00<000000?ooo`3oool0o`3ooooo0?oooaL0oooo0@3IfMT00?l0oooo0P3oool00`00 0000oooo0?ooo`0C0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0o`3ooooo0?oo oaP0oooo0@3IfMT00?l0oooo0`3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo0140 oooo00<000000?ooo`3oool0o`3ooooo0?oooaT0oooo0@3IfMT00?l0oooo103oool00`000000oooo 0?ooo`0A0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0o`3ooooo0?oooaX0oooo 0@3IfMT00?l0oooo1@3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo00l0oooo00<0 00000?ooo`3oool0o`3ooooo0?oooa/0oooo0@3IfMT00?l0oooo1P3oool00`000000oooo0?ooo`0? 0?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0o`3ooooo0?oooa`0oooo0@3IfMT0 0?l0oooo1`3oool00`000000oooo0?ooo`0>0?ooo`030000003oool0oooo00d0oooo00<000000?oo o`3oool0o`3ooooo0?oooad0oooo0@3IfMT00?l0oooo203oool00`000000oooo0?ooo`0=0?ooo`03 0000003oool0oooo00`0oooo00<000000?ooo`3oool0o`3ooooo0?oooah0oooo0@3IfMT00?l0oooo 2@3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0 o`3ooooo0?oooal0oooo0@3IfMT00?l0oooo2P3oool00`000000oooo0?ooo`0;0?ooo`030000003o ool0oooo00X0oooo00<000000?ooo`3oool0o`3ooooo0?ooob00oooo0@3IfMT00?l0oooo2`3oool0 0`000000oooo0?ooo`0:0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0o`3ooooo 0?ooob40oooo0@3IfMT00?l0oooo303oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo 00P0oooo00<000000?ooo`3oool0o`3ooooo0?ooob80oooo0@3IfMT00?l0oooo3@3oool00`000000 oooo0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0o`3ooooo0?ooob<0 oooo0@3IfMT00?l0oooo3P3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00H0oooo 00<000000?ooo`3oool0o`3ooooo0?ooob@0oooo0@3IfMT00?l0oooo3`3oool00`000000oooo0?oo o`060?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0o`3ooooo0?ooobD0oooo0@3I fMT00?l0oooo403oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00@0oooo00<00000 0?ooo`3oool0o`3ooooo0?ooobH0oooo0@3IfMT00?l0oooo4@3oool00`000000oooo0?ooo`040?oo o`030000003oool0oooo00<0oooo00<000000?ooo`3oool0o`3ooooo0?ooobL0oooo0@3IfMT00?l0 oooo4P3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3o ool0o`3ooooo0?ooobP0oooo0@3IfMT00?l0oooo4`3oool00`000000oooo0?ooo`020?ooo`050000 003oool0oooo0?ooo`000000o`3ooooo0?ooob/0oooo0@3IfMT00?l0oooo503oool01@000000oooo 0?ooo`3oool000000080oooo00<000000?ooo`3oool0o`3ooooo0?ooobX0oooo0@3IfMT00?l0oooo 5@3oool01P000000oooo0?ooo`000000oooo00000?l0ooooo`3oool]0?ooo`40fMWI003o0?oooaH0 oooo00@000000?ooo`0000000000o`3ooooo0?ooob@0oooo0`0000070?ooo`40fMWI003o0?oooaL0 oooo0P00003o0?ooool0oooo9@3oool7000000<0oooo0@3IfMT00?l00000o`00003o000004P00000 0@3IfMT000H00000o`3oool@0?ooo`040000003oool0000000000?l0oooo503oool200000?l0oooo 3P3oool7000000<0oooo0@3IfMT000<000000`3oool400000?l0oooo2`3oool01P000000oooo0?oo o`000000oooo00000?l0oooo4P3oool00`000000oooo0000003o0?ooo`h0oooo00=0000000000000 00001`3oool10=WIf@000P0000000`3oool000000?ooo`050?ooo`<00000o`3oool70?ooo`050000 003oool0oooo0?ooo`0000000P3oool00`000000oooo0?ooo`3o0?ooo`h0oooo00@000000?ooo`3o ool00000o`3ooolH0?ooo`40fMWI000200000080oooo00<000000?ooo`3oool01P3oool300000?l0 oooo0`3oool00`000000oooo0?ooo`020?ooo`050000003oool0oooo0?ooo`000000o`3oool>0?oo o`050000003oool0oooo0?ooo`000000o`3ooolH0?ooo`40fMWI0003000000030?ooo`000000oooo 00X0oooo0P00003o0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool00P3oool00`00 0000oooo0?ooo`3o0?ooo`X0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`3o0?oo oaH0oooo0@3IfMT000<000000P3oool00`000000oooo0?ooo`0:0?ooo`<00000n`3oool00`000000 oooo0?ooo`040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0o`3oool80?ooo`03 0000003oool0oooo00<0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000400000080oooo 00<000000?ooo`3oool0303oool300000?L0oooo00<000000?ooo`3oool01@3oool00`000000oooo 0?ooo`040?ooo`030000003oool0oooo0?l0oooo1P3oool00`000000oooo0?ooo`040?ooo`030000 003oool0oooo0?l0oooo5P3oool10=WIf@00100000030?ooo`030000003oool0oooo00h0oooo1000 003b0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?oo o`3o0?ooo`@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3I fMT000@00000103oool00`000000oooo0?ooo`0A0?ooo`@00000k@3oool00`000000oooo0?ooo`07 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0o`3oool20?ooo`030000003oool0 oooo00H0oooo00<000000?ooo`3oool0o`3oool?0?ooo`03@000003oool0oooo00@0oooo0@3IfMT0 00<0000000<0oooo0000003oool00`3oool00`000000oooo0?ooo`0D0?ooo`<00000j@3oool00`00 0000oooo0?ooo`080?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0o`3oool00`00 0000oooo0?ooo`070?ooo`030000003oool0oooo0?l0oooo3P3oool00d000000oooo@00000050?oo o`40fMWI0003000000030?ooo`000000oooo00@0oooo00<000000?ooo`3oool05P3oool300000>D0 oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0?d0 oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`3o0?ooo`h0oooo00=000000?oood00 00001@3oool10=WIf@001@0000050?ooo`030000003oool0oooo01T0oooo1000003P0?ooo`030000 003oool0oooo00X0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`3k0?ooo`030000 003oool0oooo00T0oooo00<000000?ooo`3oool0o`3oool=0?ooo`05@000003oool0oooo0?oood00 0000103oool10=WIf@0000H0oooo00000000000000000?ooo`0000050?ooo`030000003oool0oooo 01`0oooo0`00003L0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool02P3oool00`00 0000oooo0?ooo`3i0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0o`3oool=0?oo o`05@000003oool0oooo0?oood000000103oool10=WIf@0000H0oooo00000000000000000?ooo`00 00060?ooo`030000003oool0oooo01h0oooo1000003G0?ooo`030000003oool0oooo00`0oooo00<0 00000?ooo`3oool02`3oool00`000000oooo0?ooo`3g0?ooo`030000003oool0oooo00/0oooo00<0 00000?ooo`3oool0o`3oool<0?ooo`=0000000@0oooo@0000400001000000`3oool10=WIf@0000H0 oooo00000000000000000?ooo`0000070?ooo`030000003oool0oooo0240oooo1000003B0?ooo`03 0000003oool0oooo00d0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`3e0?ooo`03 0000003oool0oooo00`0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00001`3oool00000 0000003oool000000?ooo`0000001`3oool00`000000oooo0?ooo`0T0?ooo`<00000cP3oool00`00 0000oooo0?ooo`0>0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0l`3oool00`00 0000oooo0?ooo`0=0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0oooo00000000 00000P0000000`3oool000000?ooo`060?ooo`030000003oool0oooo02L0oooo100000390?ooo`03 0000003oool0oooo00l0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`3a0?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00000`3oool00000 0000000200000080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0Z0?ooo`@00000 a03oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0 k`3oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0 oooo0000000000000P0000020?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool0;@3o ool300000<00oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0@0?ooo`030000003o ool0oooo0>d0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3I fMT000060?ooo`00000000000000003oool000000P3oool00`000000oooo0?ooo`060?ooo`030000 003oool0oooo02l0oooo1000002k0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0 4@3oool00`000000oooo0?ooo`3[0?ooo`030000003oool0oooo0140oooo00<000000?ooo`3oool0 o`3ooolF0?ooo`40fMWI00001P3oool00000000000000000oooo00000080oooo00<000000?ooo`3o ool01`3oool00`000000oooo0?ooo`0b0?ooo`@00000]P3oool00`000000oooo0?ooo`0C0?ooo`03 0000003oool0oooo0180oooo00<000000?ooo`3oool0j@3oool00`000000oooo0?ooo`0B0?ooo`03 0000003oool0oooo0?l0oooo5P3oool10=WIf@0000H0oooo00000000000000000?ooo`0000020?oo o`030000003oool0oooo00P0oooo00<000000?ooo`3oool0=@3oool300000;80oooo00<000000?oo o`3oool0503oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo0>L0oooo00<000000?oo o`3oool04`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000060?ooo`00000000000000 003oool000000`3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo03L0oooo1000002] 0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`3U 0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00001`3o ool000000000003oool000000?ooo`0000000P3oool00`000000oooo0?ooo`090?ooo`030000003o ool0oooo03X0oooo1000002X0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool05@3o ool00`000000oooo0?ooo`3S0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI00001`3oool000000000003oool000000?ooo`0000000`3oool00`000000oooo 0?ooo`090?ooo`030000003oool0oooo03d0oooo1000002S0?ooo`030000003oool0oooo01L0oooo 00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`3Q0?ooo`030000003oool0oooo01H0oooo 00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00000`3oool0000000000002000000030?ooo`00 0000oooo0080oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`100?ooo`H00000W03o ool00`000000oooo0?ooo`0H0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0g`3o ool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0oooo 0000000000000P0000000`3oool000000?ooo`030?ooo`030000003oool0oooo00X0oooo00<00000 0?ooo`3oool0A@3oool4000009L0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`0H 0?ooo`030000003oool0oooo0=d0oooo00<000000?ooo`3oool0603oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000030?ooo`000000oooo008000000P3oool01@000000oooo0?ooo`3oool0 000000d0oooo00<000000?ooo`3oool0B03oool400000980oooo00<000000?ooo`3oool06P3oool0 0`000000oooo0?ooo`0I0?ooo`030000003oool0oooo0=/0oooo00<000000?ooo`3oool06@3oool0 0`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000030?ooo`000000oooo008000000P3oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0B`3oool40000 08d0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo 0=T0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT00008 0?ooo`00000000000000003oool000000?ooo`0000040?ooo`030000003oool0oooo00`0oooo00<0 00000?ooo`3oool0CP3oool4000008P0oooo00<000000?ooo`3oool0703oool00`000000oooo0?oo o`0K0?ooo`030000003oool0oooo0=L0oooo00<000000?ooo`3oool06`3oool00`000000oooo0?oo o`3o0?oooaH0oooo0@3IfMT000080?ooo`00000000000000003oool000000?ooo`0000050?ooo`03 0000003oool0oooo00`0oooo0P00001B0?ooo`@00000P`3oool00`000000oooo0?ooo`0M0?ooo`03 0000003oool0oooo01`0oooo00<000000?ooo`3oool0e@3oool00`000000oooo0?ooo`0L0?ooo`03 0000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0oooo0000000000000`0000020?ooo`030000 003oool0oooo0080oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`1C0?ooo`@00000 OP3oool00`000000oooo0?ooo`0N0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0 d`3oool00`000000oooo0?ooo`0M0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0 oooo0000000000000`0000020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool03P3o ool00`000000oooo0?ooo`1F0?ooo`@00000N@3oool00`000000oooo0?ooo`0O0?ooo`030000003o ool0oooo01h0oooo00<000000?ooo`3oool0d@3oool00`000000oooo0?ooo`0N0?ooo`030000003o ool0oooo0?l0oooo5P3oool10=WIf@0000<0oooo0000000000000`0000020?ooo`030000003oool0 oooo00<0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`1I0?ooo`H00000LP3oool0 0`000000oooo0?ooo`0P0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool0c`3oool0 0`000000oooo0?ooo`0O0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@0000<0oooo0000 000000000`0000020?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool03`3oool00`00 0000oooo0?ooo`1N0?ooo`@00000K@3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo 0200oooo00<000000?ooo`3oool0c@3oool00`000000oooo0?ooo`0P0?ooo`030000003oool0oooo 0?l0oooo5P3oool10=WIf@000P3oool3000000050?ooo`000000oooo0?ooo`0000001@3oool00`00 0000oooo0?ooo`0@0?ooo`030000003oool0oooo0640oooo1000001X0?ooo`030000003oool0oooo 0280oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`3;0?ooo`030000003oool0oooo 0240oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00020?ooo`<0000000D0oooo0000003o ool0oooo000000060?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool0I03oool40000 06<0oooo00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`0R0?ooo`030000003oool0oooo 00?ooo`H00000 7P3oool00`000000oooo0?ooo`0^0?ooo`030000003oool0oooo02d0oooo00<000000?ooo`3oool0 /`3oool00`000000oooo0?ooo`0]0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@000P3o ool2000000050?ooo`00000000000?ooo`0000000`3oool00`000000oooo0?ooo`070?ooo`030000 003oool0oooo01T0oooo0P00002D0?ooo`H000005`3oool00`000000oooo0?ooo`0_0?ooo`030000 003oool0oooo02h0oooo00<000000?ooo`3oool0/@3oool00`000000oooo0?ooo`0^0?ooo`030000 003oool0oooo0?l0oooo5P3oool10=WIf@000P3oool2000000050?ooo`00000000000?ooo`000000 103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3oool0 U`3oool600000100oooo00<000000?ooo`3oool0<03oool00`000000oooo0?ooo`0_0?ooo`030000 003oool0oooo0:l0oooo00<000000?ooo`3oool0;`3oool00`000000oooo0?ooo`3o0?oooaH0oooo 0@3IfMT00080oooo0P0000000`3oool00000000000020?ooo`050000003oool0oooo0?ooo`000000 2P3oool00`000000oooo0?ooo`0J0?ooo`030000003oool0oooo09`0oooo1P0000090?ooo`030000 003oool0oooo0340oooo00<000000?ooo`3oool0<03oool00`000000oooo0?ooo`2]0?ooo`030000 003oool0oooo0300oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00020?ooo`80000000<0 oooo0000000000000P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00L0oooo00<0 00000?ooo`3oool06`3oool200000:80oooo100000040?ooo`030000003oool0oooo0380oooo00<0 00000?ooo`3oool0<@3oool00`000000oooo0?ooo`2[0?ooo`030000003oool0oooo0340oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00020?ooo`@0000000@0oooo0000003oool00000103o ool00`000000oooo0?ooo`080?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0X`3o ool4000003D0oooo00<000000?ooo`3oool003oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000<0oooo0P00 0000103oool000000?ooo`0000020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0 2P3oool00`000000oooo0?ooo`0Q0?ooo`800000UP3oool00`000000oooo0?ooo`0Z0?ooo`L00000 2@3oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo09/0oooo00<000000?ooo`3oool0 >@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000<0oooo0P000000103oool000000?oo o`0000020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool02`3oool00`000000oooo 0?ooo`0R0?ooo`030000003oool0oooo0980oooo00<000000?ooo`3oool0P3oool00`000000oooo0?ooo`2I0?ooo`030000003oool0oooo03X0oooo 00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00030?ooo`80000000@0oooo0000003oool00000 0P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool0 8P3oool200000940oooo00<000000?ooo`3oool0>@3oool6000003/0oooo00<000000?ooo`3oool0 U`3oool00`000000oooo0?ooo`0k0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@000`3o ool200000080oooo0P0000020?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool02`3o ool00`000000oooo0?ooo`0T0?ooo`800000SP3oool00`000000oooo0?ooo`0m0?ooo`030000003o ool0oooo00L00000=@3oool00`000000oooo0?ooo`2E0?ooo`030000003oool0oooo03`0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00030?ooo`8000000P3oool00`000000oooo00000002 0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0U 0?ooo`800000R`3oool00`000000oooo0?ooo`0n0?ooo`030000003oool0oooo00L0oooo1P00000` 0?ooo`030000003oool0oooo09<0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000<0oooo0`000000103oool000000?ooo`0000020?ooo`030000003oool0 oooo00@0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`0V0?ooo`800000R03oool0 0`000000oooo0?ooo`0o0?ooo`030000003oool0oooo00d0oooo1P00000[0?ooo`030000003oool0 oooo0940oooo00<000000?ooo`3oool0?P3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT0 00<0oooo0`000000103oool000000?ooo`0000020?ooo`030000003oool0oooo00D0oooo00<00000 0?ooo`3oool0303oool00`000000oooo0?ooo`0W0?ooo`800000Q@3oool00`000000oooo0?ooo`10 0?ooo`030000003oool0oooo01<0oooo1@00000W0?ooo`030000003oool0oooo08l0oooo00<00000 0?ooo`3oool0?`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000<0oooo0`000000103o ool000000?ooo`0000020?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0303oool0 0`000000oooo0?ooo`0Y0?ooo`800000PP3oool00`000000oooo0?ooo`110?ooo`030000003oool0 oooo01P0oooo1P00000R0?ooo`030000003oool0oooo08d0oooo00<000000?ooo`3oool0@03oool0 0`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000<0oooo0`0000001@3oool000000?ooo`3oool0 00000080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0 oooo02X0oooo0P00001o0?ooo`030000003oool0oooo0480oooo00<000000?ooo`3oool07P3oool4 000001l0oooo00<000000?ooo`3oool0R`3oool00`000000oooo0?ooo`110?ooo`030000003oool0 oooo0?l0oooo5P3oool10=WIf@000`3oool3000000050?ooo`000000oooo0?ooo`0000000P3oool0 0`000000oooo0?ooo`050?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0:`3oool0 0`000000oooo0?ooo`1k0?ooo`030000003oool0oooo04<0oooo00<000000?ooo`3oool08P3oool3 000001d0oooo00<000000?ooo`3oool0R@3oool00`000000oooo0?ooo`120?ooo`030000003oool0 oooo0?l0oooo5P3oool10=WIf@000`3oool00`000000oooo000000020?ooo`030000003oool00000 0080oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo 02/0oooo0P00001j0?ooo`030000003oool0oooo04@0oooo00<000000?ooo`3oool09@3oool40000 01X0oooo00<000000?ooo`3oool0Q`3oool00`000000oooo0?ooo`130?ooo`030000003oool0oooo 0?l0oooo5P3oool10=WIf@00103oool200000080oooo00<000000?ooo`0000000`3oool00`000000 oooo0?ooo`050?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool0;03oool2000007L0 oooo00<000000?ooo`3oool0A@3oool00`000000oooo0?ooo`0Y0?ooo`D000005P3oool00`000000 oooo0?ooo`250?ooo`030000003oool0oooo04@0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40 fMWI00040?ooo`<0000000@0oooo0000003oool000000`3oool00`000000oooo0?ooo`060?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool0;@3oool00`000000oooo0?ooo`1c0?ooo`03 0000003oool0oooo04H0oooo00<000000?ooo`3oool0;P3oool4000001<0oooo00<000000?ooo`3o ool0P`3oool00`000000oooo0?ooo`150?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00 103oool3000000050?ooo`000000oooo0?ooo`0000000P3oool00`000000oooo0?ooo`060?ooo`03 0000003oool0oooo00h0oooo00<000000?ooo`3oool0;P3oool200000780oooo00<000000?ooo`3o ool0A`3oool00`000000oooo0?ooo`0b0?ooo`<000004@3oool00`000000oooo0?ooo`210?ooo`03 0000003oool0oooo04H0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00040?ooo`<00000 00D0oooo0000003oool0oooo000000030?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3o ool03P3oool00`000000oooo0?ooo`0_0?ooo`800000K`3oool00`000000oooo0?ooo`180?ooo`03 0000003oool0oooo03D0oooo1000000>0?ooo`030000003oool0oooo07l0oooo00<000000?ooo`3o ool0A`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000@0oooo0`0000001@3oool00000 0?ooo`3oool0000000<0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0?0?ooo`03 0000003oool0oooo0300oooo0P00001/0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3o ool0>@3oool4000000/0oooo00<000000?ooo`3oool0O@3oool00`000000oooo0?ooo`180?ooo`03 0000003oool0oooo0?l0oooo5P3oool10=WIf@00103oool3000000050?ooo`000000oooo0?ooo`00 00000`3oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3o ool0<@3oool2000006T0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`0m0?ooo`80 00002P3oool00`000000oooo0?ooo`1k0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3o ool0o`3ooolF0?ooo`40fMWI00040?ooo`<000000P3oool010000000oooo0?ooo`0000030?ooo`03 0000003oool0oooo00H0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0b0?ooo`<0 0000I@3oool00`000000oooo0?ooo`1;0?ooo`030000003oool0oooo03l0oooo100000070?ooo`03 0000003oool0oooo07T0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`3o0?oooaH0 oooo0@3IfMT000@0oooo0`0000020?ooo`040000003oool0oooo000000<0oooo00<000000?ooo`3o ool01`3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo03@0oooo0P00001R0?ooo`03 0000003oool0oooo04`0oooo00<000000?ooo`3oool0@`3oool4000000@0oooo00<000000?ooo`3o ool0M`3oool00`000000oooo0?ooo`1;0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00 103oool2000000040?ooo`000000oooo00000080oooo00D000000?ooo`3oool0oooo000000090?oo o`030000003oool0oooo0140oooo00<000000?ooo`3oool0=@3oool2000005l0oooo00<000000?oo o`3oool0C@3oool00`000000oooo0?ooo`170?ooo`8000000`3oool00`000000oooo0?ooo`1e0?oo o`030000003oool0oooo04`0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00040?ooo`80 000000@0oooo0000003oool000000P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo 00L0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0f0?ooo`800000G03oool00`00 0000oooo0?ooo`1>0?ooo`030000003oool0oooo04T0oooo0`0000000`3oool000000?ooo`1d0?oo o`030000003oool0oooo04d0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00040?ooo`06 0000003oool000000000003oool000000`3oool01@000000oooo0?ooo`3oool0000000T0oooo00<0 00000?ooo`3oool04P3oool00`000000oooo0?ooo`0g0?ooo`800000F@3oool00`000000oooo0?oo o`1?0?ooo`030000003oool0oooo04`0oooo0`00001c0?ooo`030000003oool0oooo04h0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00040?ooo`060000003oool000000000003oool00000 0`3oool01@000000oooo0?ooo`3oool0000000X0oooo00<000000?ooo`3oool04@3oool00`000000 oooo0?ooo`0i0?ooo`<00000E@3oool00`000000oooo0?ooo`1@0?ooo`030000003oool0oooo04h0 oooo0`00001`0?ooo`030000003oool0oooo04l0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40 fMWI00040?ooo`060000003oool000000000003oool000000`3oool00`000000oooo0?ooo`020?oo o`030000003oool0oooo00L0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0k0?oo o`800000DP3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0oooo0500oooo0`00001]0?oo o`030000003oool0oooo0500oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00040?ooo`04 0000003oool0000000000080oooo00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`08 0?ooo`030000003oool0oooo0180oooo00<000000?ooo`3oool0?03oool2000004l0oooo00<00000 0?ooo`3oool0DP3oool00`000000oooo0?ooo`1A0?ooo`030000003oool0000000800000J@3oool0 0`000000oooo0?ooo`1A0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@001@3oool30000 0080oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo00L0oooo00<00000 0?ooo`3oool04`3oool00`000000oooo0?ooo`0m0?ooo`800000C03oool00`000000oooo0?ooo`1C 0?ooo`030000003oool0oooo0580oooo00@000000?ooo`3oool0oooo0P00001V0?ooo`030000003o ool0oooo0580oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00050?ooo`80000000@0oooo 0000003oool000000`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00P0oooo00<0 00000?ooo`3oool04`3oool00`000000oooo0?ooo`0n0?ooo`800000B@3oool00`000000oooo0?oo o`1D0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool00P3oool2000006<0oooo00<0 00000?ooo`3oool0D`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000D0oooo0P000000 103oool000000?ooo`0000030?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool02@3o ool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo03l0oooo0`0000150?ooo`030000003o ool0oooo05D0oooo00<000000?ooo`3oool0E03oool00`000000oooo0?ooo`030?ooo`800000H03o ool00`000000oooo0?ooo`1D0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@001@3oool0 1P000000oooo000000000000oooo000000<0oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`080?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool0@@3oool200000480oooo 00<000000?ooo`3oool0EP3oool00`000000oooo0?ooo`1E0?ooo`030000003oool0oooo00@0oooo 0P00001M0?ooo`030000003oool0oooo05D0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI 00050?ooo`060000003oool000000000003oool00000103oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo00T0oooo00<000000?ooo`3oool0503oool2000004<0oooo0P0000100?ooo`03 0000003oool0oooo05H0oooo00<000000?ooo`3oool0EP3oool00`000000oooo0?ooo`050?ooo`80 0000FP3oool00`000000oooo0?ooo`1F0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00 1@3oool010000000oooo0000000000020?ooo`050000003oool0oooo0?ooo`000000103oool00`00 0000oooo0?ooo`090?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0@P3oool20000 03d0oooo00<000000?ooo`3oool0E`3oool00`000000oooo0?ooo`1G0?ooo`030000003oool0oooo 00H0oooo0P00001G0?ooo`030000003oool0oooo05L0oooo00<000000?ooo`3oool0o`3ooolF0?oo o`40fMWI00050?ooo`040000003oool0000000000080oooo00D000000?ooo`3oool0oooo00000005 0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`13 0?ooo`800000>P3oool00`000000oooo0?ooo`1H0?ooo`030000003oool0oooo05P0oooo00<00000 0?ooo`3oool01`3oool2000005@0oooo00<000000?ooo`3oool0F03oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000D0oooo00L000000?ooo`000000oooo0000003oool0000000<0oooo00<0 00000?ooo`3oool00`3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01H0oooo00<0 00000?ooo`3oool0A03oool3000003H0oooo00<000000?ooo`3oool0F@3oool00`000000oooo0?oo o`1I0?ooo`030000003oool0oooo00P0oooo0P00001A0?ooo`030000003oool0oooo05T0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00050?ooo`070000003oool000000?ooo`000000oooo 000000040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool02@3oool00`000000oooo 0?ooo`0G0?ooo`030000003oool0oooo04H0oooo0`00000b0?ooo`030000003oool0oooo05X0oooo 00<000000?ooo`3oool0FP3oool00`000000oooo0?ooo`090?ooo`800000CP3oool00`000000oooo 0?ooo`1J0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@001@3oool01`000000oooo0000 003oool000000?ooo`000000103oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00X0 oooo00<000000?ooo`3oool05`3oool2000004T0oooo1000000]0?ooo`030000003oool0oooo05/0 oooo00<000000?ooo`3oool0F`3oool00`000000oooo0?ooo`0:0?ooo`800000B`3oool00`000000 oooo0?ooo`1K0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@001P3oool2000000040?oo o`000000oooo000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`0:0?ooo`03 0000003oool0oooo01P0oooo00<000000?ooo`3oool0BP3oool3000002T0oooo00<000000?ooo`3o ool0G03oool00`000000oooo0?ooo`1L0?ooo`030000003oool0oooo00/0oooo0P0000180?ooo`03 0000003oool0oooo05`0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00060?ooo`800000 00D0oooo0000003oool0oooo000000030?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3o ool02P3oool00`000000oooo0?ooo`0I0?ooo`030000003oool0oooo04`0oooo0`00000U0?ooo`03 0000003oool0oooo05d0oooo00<000000?ooo`3oool0G@3oool00`000000oooo0?ooo`0<0?ooo`80 0000A@3oool00`000000oooo0?ooo`1M0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00 1P3oool010000000oooo0000000000020?ooo`030000003oool0oooo0080oooo00<000000?ooo`3o ool0103oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo01T0oooo0P00001?0?ooo`80 00008P3oool00`000000oooo0?ooo`1N0?ooo`030000003oool0oooo05h0oooo00<000000?ooo`3o ool03@3oool00`000000oooo0?ooo`110?ooo`030000003oool0oooo05h0oooo00<000000?ooo`3o ool0o`3ooolF0?ooo`40fMWI00060?ooo`070000003oool000000?ooo`000000oooo000000040?oo o`030000003oool0oooo00@0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0J0?oo o`030000003oool0oooo04h0oooo0`00000N0?ooo`030000003oool0oooo05l0oooo00<000000?oo o`3oool0G`3oool00`000000oooo0?ooo`0=0?ooo`800000@03oool00`000000oooo0?ooo`1O0?oo o`030000003oool0oooo0?l0oooo5P3oool10=WIf@001P3oool01`000000oooo0000003oool00000 0?ooo`000000103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00X0oooo00<00000 0?ooo`3oool06`3oool00`000000oooo0?ooo`1@0?ooo`<000006P3oool00`000000oooo0?ooo`1P 0?ooo`030000003oool0oooo0600oooo00<000000?ooo`3oool03P3oool00`000000oooo0?ooo`0l 0?ooo`030000003oool0oooo0600oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00060?oo o`050000003oool000000?ooo`0000000P3oool01@000000oooo0?ooo`3oool0000000L0oooo00<0 00000?ooo`3oool02`3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo0580oooo0P00 000G0?ooo`030000003oool0oooo0640oooo00<000000?ooo`3oool0H@3oool00`000000oooo0?oo o`0>0?ooo`800000>`3oool00`000000oooo0?ooo`1Q0?ooo`030000003oool0oooo0?l0oooo5P3o ool10=WIf@001`3oool2000000050?ooo`000000oooo0?ooo`000000103oool00`000000oooo0?oo o`050?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool06`3oool2000005@0oooo0`00 000C0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool0HP3oool00`000000oooo0?oo o`0?0?ooo`030000003oool0oooo03L0oooo00<000000?ooo`3oool0HP3oool00`000000oooo0?oo o`3o0?oooaH0oooo0@3IfMT000L0oooo0P0000001@3oool000000?ooo`3oool0000000@0oooo00<0 00000?ooo`3oool01@3oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01`0oooo00<0 00000?ooo`3oool0E03oool3000000l0oooo00<000000?ooo`3oool0H`3oool00`000000oooo0?oo o`1S0?ooo`030000003oool0oooo00l0oooo0P00000f0?ooo`030000003oool0oooo06<0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00070?ooo`80000000D0oooo0000003oool0oooo0000 00040?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?oo o`0M0?ooo`030000003oool0oooo05H0oooo0`00000;0?ooo`030000003oool0oooo06@0oooo00<0 00000?ooo`3oool0I03oool00`000000oooo0?ooo`0@0?ooo`800000<`3oool00`000000oooo0?oo o`1T0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@001`3oool200000080oooo00@00000 0?ooo`3oool000000`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00`0oooo00<0 00000?ooo`3oool07@3oool2000005T0oooo0`0000070?ooo`030000003oool0oooo06D0oooo00<0 00000?ooo`3oool0I@3oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo02l0oooo00<0 00000?ooo`3oool0I@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000L0oooo0P000002 0?ooo`040000003oool0oooo000000@0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?oo o`0<0?ooo`030000003oool0oooo01h0oooo00<000000?ooo`3oool0F@3oool3000000<0oooo00<0 00000?ooo`3oool0IP3oool00`000000oooo0?ooo`1V0?ooo`030000003oool0oooo0140oooo0P00 000^0?ooo`030000003oool0oooo06H0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI0007 0?ooo`050000003oool000000?ooo`0000000P3oool00`000000oooo0?ooo`020?ooo`030000003o ool0oooo00H0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0N0?ooo`030000003o ool0oooo05/0oooo1000001X0?ooo`030000003oool0oooo06L0oooo00<000000?ooo`3oool04P3o ool00`000000oooo0?ooo`0Z0?ooo`030000003oool0oooo06L0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI00070?ooo`050000003oool000000?ooo`0000000P3oool00`000000oooo0?oo o`020?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0303oool00`000000oooo0?oo o`0O0?ooo`800000G03oool00`000000oooo0?ooo`03000006D0oooo00<000000?ooo`3oool0J03o ool00`000000oooo0?ooo`0B0?ooo`800000:@3oool00`000000oooo0?ooo`1X0?ooo`030000003o ool0oooo0?l0oooo5P3oool10=WIf@001`3oool01@000000oooo0000003oool0000000<0oooo00<0 00000?ooo`3oool00P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00d0oooo00<0 00000?ooo`3oool0803oool00`000000oooo0?ooo`1H0?ooo`030000003oool0oooo00@0oooo1000 001Q0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool04`3oool00`000000oooo0?oo o`0U0?ooo`030000003oool0oooo06T0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI0007 0?ooo`050000003oool000000?ooo`0000000`3oool00`000000oooo0?ooo`020?ooo`030000003o ool0oooo00L0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0P0?ooo`800000E`3o ool00`000000oooo0?ooo`090?ooo`<00000GP3oool00`000000oooo0?ooo`1Z0?ooo`030000003o ool0oooo01<0oooo0P00000T0?ooo`030000003oool0oooo06X0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI00070?ooo`030000003oool000000080oooo00@000000?ooo`3oool000001@3o ool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool08@3o ool00`000000oooo0?ooo`1C0?ooo`030000003oool0oooo00d0oooo1000001J0?ooo`030000003o ool0oooo06/0oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`0P0?ooo`030000003o ool0oooo06/0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00080?ooo`8000000P3oool0 10000000oooo0?ooo`0000050?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03@3o ool00`000000oooo0?ooo`0R0?ooo`800000DP3oool00`000000oooo0?ooo`0B0?ooo`<00000E`3o ool00`000000oooo0?ooo`1/0?ooo`030000003oool0oooo01@0oooo00<000000?ooo`3oool07P3o ool00`000000oooo0?ooo`1/0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00203oool0 1@000000oooo0000003oool0000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?oo o`070?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool08`3oool00`000000oooo0?oo o`1>0?ooo`030000003oool0oooo01H0oooo1000001C0?ooo`030000003oool0oooo06d0oooo00<0 00000?ooo`3oool0503oool00`000000oooo0?ooo`0L0?ooo`030000003oool0oooo06d0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI00080?ooo`050000003oool000000?ooo`0000000`3o ool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03P3o ool00`000000oooo0?ooo`0S0?ooo`800000C@3oool00`000000oooo0?ooo`0K0?ooo`<00000D03o ool00`000000oooo0?ooo`1^0?ooo`030000003oool0oooo01@0oooo0P00000K0?ooo`030000003o ool0oooo06h0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00080?ooo`050000003oool0 00000?ooo`0000000`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo00L0oooo00<0 00000?ooo`3oool03`3oool00`000000oooo0?ooo`0T0?ooo`030000003oool0oooo04T0oooo00<0 00000?ooo`3oool07`3oool3000004d0oooo00<000000?ooo`3oool0K`3oool00`000000oooo0?oo o`0E0?ooo`030000003oool0oooo01L0oooo00<000000?ooo`3oool0K`3oool00`000000oooo0?oo o`3o0?oooaH0oooo0@3IfMT000P0oooo00<000000?ooo`0000000P3oool010000000oooo0?ooo`00 00060?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool03P3oool00`000000oooo0?oo o`0U0?ooo`800000B03oool00`000000oooo0?ooo`0S0?ooo`<00000BP3oool00`000000oooo0?oo o`1`0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?oo o`1`0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00203oool00`000000oooo00000002 0?ooo`050000003oool0oooo0?ooo`0000001@3oool00`000000oooo0?ooo`070?ooo`030000003o ool0oooo00l0oooo00<000000?ooo`3oool09P3oool2000004D0oooo00<000000?ooo`3oool09`3o ool4000004H0oooo00<000000?ooo`3oool0L@3oool00`000000oooo0?ooo`0E0?ooo`030000003o ool0oooo01<0oooo00<000000?ooo`3oool0L@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3I fMT000P0oooo00<000000?ooo`0000000P3oool01@000000oooo0?ooo`3oool0000000D0oooo00<0 00000?ooo`3oool0203oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo02L0oooo00<0 00000?ooo`3oool0@@3oool00`000000oooo0?ooo`0/0?ooo`<00000@`3oool00`000000oooo0?oo o`1b0?ooo`030000003oool0oooo01D0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?oo o`1b0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00203oool01P000000oooo0?ooo`00 0000oooo000000<0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`070?ooo`030000 003oool0oooo0100oooo00<000000?ooo`3oool09`3oool200000400oooo00<000000?ooo`3oool0 <03oool300000400oooo00<000000?ooo`3oool0L`3oool00`000000oooo0?ooo`0E0?ooo`800000 403oool00`000000oooo0?ooo`1c0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00203o ool010000000oooo0?ooo`0000020?ooo`040000003oool0oooo000000H0oooo00<000000?ooo`3o ool0203oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3o ool0?03oool00`000000oooo0?ooo`0d0?ooo`@00000?03oool00`000000oooo0?ooo`1d0?ooo`03 0000003oool0oooo01H0oooo00<000000?ooo`3oool0303oool00`000000oooo0?ooo`1d0?ooo`03 0000003oool0oooo0?l0oooo5P3oool10=WIf@002@3oool00`000000oooo000000020?ooo`050000 003oool0oooo0?ooo`0000001P3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo0100 oooo00<000000?ooo`3oool0:03oool2000003/0oooo00<000000?ooo`3oool0>@3oool4000003P0 oooo00<000000?ooo`3oool0M@3oool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo00X0 oooo00<000000?ooo`3oool0M@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000T0oooo 00<000000?ooo`0000000P3oool01@000000oooo0?ooo`3oool0000000H0oooo00<000000?ooo`3o ool0203oool00`000000oooo0?ooo`0A0?ooo`800000:P3oool2000003P0oooo00<000000?ooo`3o ool0?P3oool4000003@0oooo00<000000?ooo`3oool0MP3oool00`000000oooo0?ooo`0F0?ooo`03 0000003oool0oooo00P0oooo00<000000?ooo`3oool0MP3oool00`000000oooo0?ooo`3o0?oooaH0 oooo0@3IfMT000T0oooo00<000000?ooo`0000000P3oool01@000000oooo0?ooo`3oool0000000L0 oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo02T0 oooo0P00000e0?ooo`030000003oool0oooo04<0oooo1@00000_0?ooo`030000003oool0oooo07L0 oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo07L0 oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI00090?ooo`030000003oool0000000<0oooo 00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3o ool04P3oool00`000000oooo0?ooo`0Z0?ooo`800000 0?ooo`030000003oool0oooo07h0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`03 0?ooo`030000003oool0oooo07P0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000:0?oo o`040000003oool0oooo000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool05@3oool00`000000oooo0?ooo`0_ 0?ooo`8000007P3oool00`000000oooo0?ooo`1a0?ooo`@000002P3oool00`000000oooo0?ooo`1o 0?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`1g 0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@002`3oool010000000oooo0?ooo`000002 0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0: 0?ooo`030000003oool0oooo01H0oooo00<000000?ooo`3oool0<03oool3000001X0oooo00<00000 0?ooo`3oool0MP3oool4000000H0oooo00<000000?ooo`3oool0P03oool00`000000oooo0?ooo`0= 0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0MP3oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000/0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`02 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0F 0?ooo`030000003oool0oooo0380oooo0P00000G0?ooo`030000003oool0oooo07/0oooo10000002 0?ooo`030000003oool0oooo0840oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`09 0?ooo`03@000003oool0oooo07D0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000;0?oo o`040000003oool0oooo000000<0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`0c 0?ooo`800000503oool00`000000oooo0?ooo`200?ooo`L00000P03oool00`000000oooo0?ooo`09 0?ooo`030000003oool0oooo0880oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000;0?oo o`040000003oool0oooo000000<0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`05 0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?ooo`0d 0?ooo`8000004@3oool00`000000oooo0?ooo`230?ooo`030000003oool0oooo0080oooo0`00001n 0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0P`3oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000/0oooo00D000000?ooo`3oool0oooo000000030?ooo`030000003oool0 oooo0080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0 oooo01L0oooo0P00000f0?ooo`8000003P3oool00`000000oooo0?ooo`240?ooo`030000003oool0 oooo00D0oooo1000001k0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0Q03oool0 0`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT000`0oooo00@000000?ooo`3oool000000`3oool0 0`000000oooo0?ooo`020?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02`3oool0 0`000000oooo0?ooo`0H0?ooo`030000003oool0oooo03D0oooo0P00000;0?ooo`030000003oool0 oooo08D0oooo00<000000?ooo`3oool02@3oool3000007T0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`250?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00303oool01000 0000oooo0?ooo`0000030?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`0<0?ooo`030000003oool0oooo01P0oooo00<000000?ooo`3oool0=P3oool3 000000L0oooo00<000000?ooo`3oool0QP3oool00`000000oooo0?ooo`0<0?ooo`H00000M03oool0 1@000000oooo0?ooo`3oool0000008P0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000< 0?ooo`040000003oool0oooo000000@0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?oo o`060?ooo`030000003oool0oooo00`0oooo00<000000?ooo`3oool0603oool00`000000oooo0?oo o`0h0?ooo`800000103oool00`000000oooo0?ooo`270?ooo`030000003oool0oooo0180oooo1000 001a0?ooo`030000003oool0000001L0oooo00<000000?ooo`3oool0K`3oool00`000000oooo0?oo o`3o0?oooaH0oooo0@3IfMT000`0oooo00D000000?ooo`3oool0oooo000000030?ooo`030000003o ool0oooo00<0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0<0?ooo`030000003o ool0oooo01P0oooo00<000000?ooo`3oool0>@3oool4000008X0oooo00<000000?ooo`3oool05P3o ool3000006l0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`1^0?ooo`030000003o ool0oooo0?l0oooo5P3oool10=WIf@003@3oool010000000oooo0?ooo`0000030?ooo`030000003o ool0oooo00<0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0=0?ooo`030000003o ool0oooo01P0oooo0P00000k0?ooo`@00000R03oool00`000000oooo0?ooo`0I0?ooo`<00000J`3o ool00`000000oooo0000000I0?ooo`800000KP3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3I fMT000d0oooo00@000000?ooo`3oool000000`3oool00`000000oooo0?ooo`030?ooo`030000003o ool0oooo00L0oooo00<000000?ooo`3oool03@3oool00`000000oooo0?ooo`0I0?ooo`800000>03o ool00`000000oooo0?ooo`020?ooo`800000QP3oool00`000000oooo0?ooo`0L0?ooo`@00000IP3o ool01@000000oooo0?ooo`3oool0000001X0oooo00<000000?ooo`3oool0J`3oool00`000000oooo 0?ooo`3o0?oooaH0oooo0@3IfMT000d0oooo00@000000?ooo`3oool00000103oool00`000000oooo 0?ooo`030?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool03P3oool00`000000oooo 0?ooo`0J0?ooo`030000003oool0oooo03@0oooo00<000000?ooo`3oool01@3oool3000008<0oooo 00<000000?ooo`3oool0803oool300000680oooo00<000000?ooo`3oool00`3oool00`000000oooo 0?ooo`0H0?ooo`030000003oool0oooo06X0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI 000>0?ooo`030000003oool0000000@0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?oo o`070?ooo`030000003oool0oooo00h0oooo00<000000?ooo`3oool06P3oool2000003<0oooo00<0 00000?ooo`3oool02@3oool200000840oooo00<000000?ooo`3oool08`3oool3000005h0oooo00<0 00000?ooo`3oool01@3oool00`000000oooo0?ooo`0H0?ooo`03000004000000oooo06T0oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI000>0?ooo`040000003oool0oooo000000<0oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00h0oooo00<0 00000?ooo`3oool06`3oool200000300oooo00<000000?ooo`3oool0303oool3000007h0oooo00<0 00000?ooo`3oool09P3oool2000005/0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?oo o`230?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@003P3oool010000000oooo0?ooo`00 00040?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?oo o`0?0?ooo`030000003oool0oooo01`0oooo00<000000?ooo`3oool0;03oool00`000000oooo0?oo o`0@0?ooo`800000O03oool00`000000oooo0?ooo`0X0?ooo`800000F03oool00`000000oooo0?oo o`090?ooo`030000003oool0oooo0880oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000> 0?ooo`040000003oool0oooo000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?oo o`070?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool0703oool2000002/0oooo00<0 00000?ooo`3oool04`3oool3000007T0oooo00<000000?ooo`3oool0:P3oool3000005@0oooo00<0 00000?ooo`3oool02`3oool00`000000oooo0?ooo`210?ooo`030000003oool0oooo0?l0oooo5P3o ool10=WIf@003`3oool00`000000oooo000000050?ooo`030000003oool0oooo00<0oooo00<00000 0?ooo`3oool0203oool00`000000oooo0?ooo`0?0?ooo`030000003oool0oooo01d0oooo0P00000X 0?ooo`030000003oool0oooo01L0oooo0P00001g0?ooo`030000003oool0oooo02d0oooo0P00001A 0?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3oool0P03oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000l0oooo00@000000?ooo`3oool00000103oool00`000000oooo0?ooo`04 0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0N 0?ooo`030000003oool0oooo02@0oooo00<000000?ooo`3oool06P3oool3000007@0oooo00<00000 0?ooo`3oool0;`3oool2000004h0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`0J 0?ooo`030000003oool0oooo0680oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000?0?oo o`040000003oool0oooo000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`08 0?ooo`030000003oool0oooo0100oooo00<000000?ooo`3oool07P3oool2000002<0oooo00<00000 0?ooo`3oool07P3oool300000740oooo00<000000?ooo`3oool0<@3oool3000004X0oooo00<00000 0?ooo`3oool04@3oool00`000000oooo0?ooo`0J0?ooo`800000HP3oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT000l0oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0 oooo00@0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0@0?ooo`030000003oool0 oooo01l0oooo0P00000P0?ooo`030000003oool0oooo0280oooo0`00001^0?ooo`030000003oool0 oooo03@0oooo0`0000160?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool06`3oool2 00000600oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000@0?ooo`040000003oool0oooo 000000@0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`080?ooo`030000003oool0 oooo0140oooo00<000000?ooo`3oool0803oool2000001d0oooo00<000000?ooo`3oool09P3oool4 000006X0oooo00<000000?ooo`3oool0=`3oool2000004<0oooo00<000000?ooo`3oool05@3oool0 0`000000oooo0?ooo`0L0?ooo`800000GP3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT0 0100oooo00D000000?ooo`3oool0oooo000000040?ooo`030000003oool0oooo00@0oooo00<00000 0?ooo`3oool0203oool00`000000oooo0?ooo`0A0?ooo`030000003oool0oooo0240oooo00<00000 0?ooo`3oool06@3oool00`000000oooo0?ooo`0[0?ooo`<00000I`3oool00`000000oooo0?ooo`0i 0?ooo`030000003oool0oooo03l0oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`0M 0?ooo`03@000003oool0oooo05/0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000@0?oo o`050000003oool0oooo0?ooo`000000103oool00`000000oooo0?ooo`050?ooo`030000003oool0 oooo00P0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0Q0?ooo`800000603oool0 0`000000oooo0?ooo`0_0?ooo`<00000I03oool00`000000oooo0?ooo`0j0?ooo`800000?P3oool0 0`000000oooo0?ooo`0I0?ooo`030000003oool0oooo07X0oooo00<000000?ooo`3oool0o`3ooolF 0?ooo`40fMWI000@0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00P3oool00`00 0000oooo0?ooo`040?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool04@3oool00`00 0000oooo0?ooo`0R0?ooo`8000005@3oool00`000000oooo0?ooo`0c0?ooo`@00000H03oool00`00 0000oooo0?ooo`0l0?ooo`<00000>P3oool00`000000oooo0?ooo`0K0?ooo`030000003oool0oooo 07T0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000A0?ooo`050000003oool0oooo0?oo o`000000103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00T0oooo00<000000?oo o`3oool04@3oool2000002@0oooo00<000000?ooo`3oool04@3oool00`000000oooo0?ooo`0h0?oo o`<00000G@3oool00`000000oooo0?ooo`0o0?ooo`800000=`3oool00`000000oooo0?ooo`0M0?oo o`030000003oool0oooo07P0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000A0?ooo`05 0000003oool0oooo0?ooo`0000001@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo 00X0oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0R0?ooo`800000403oool00`00 0000oooo0?ooo`0l0?ooo`@00000F@3oool00`000000oooo0?ooo`110?ooo`800000=03oool00`00 0000oooo0?ooo`0O0?ooo`030000003oool0oooo07L0oooo00<000000?ooo`3oool0o`3ooolF0?oo o`40fMWI000A0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool00P3oool00`000000 oooo0?ooo`050?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool04`3oool00`000000 oooo0?ooo`0S0?ooo`8000003@3oool00`000000oooo0?ooo`110?ooo`@00000E@3oool00`000000 oooo0?ooo`130?ooo`800000<@3oool00`000000oooo0?ooo`0Q0?ooo`030000003oool0oooo0200 oooo0P00001D0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@004@3oool00`000000oooo 0?ooo`020?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01@3oool00`000000oooo 0?ooo`090?ooo`030000003oool0oooo01<0oooo00<000000?ooo`3oool0903oool2000000X0oooo 00<000000?ooo`3oool0AP3oool300000580oooo00<000000?ooo`3oool0A@3oool2000002h0oooo 00<000000?ooo`3oool08`3oool00`000000oooo0?ooo`0Q0?ooo`800000DP3oool00`000000oooo 0?ooo`3o0?oooaH0oooo0@3IfMT00180oooo00D000000?ooo`3oool0oooo000000050?ooo`030000 003oool0oooo00D0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0C0?ooo`030000 003oool0oooo02D0oooo0P0000070?ooo`030000003oool0oooo04X0oooo0`00001?0?ooo`030000 003oool0oooo04L0oooo00<000000?ooo`3oool0:P3oool00`000000oooo0?ooo`0U0?ooo`030000 003oool0oooo0280oooo00<000000?ooo`3oool0C`3oool00`000000oooo0?ooo`3o0?oooaH0oooo 0@3IfMT00180oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`030?ooo`030000003o ool0oooo00D0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0C0?ooo`8000009`3o ool2000000@0oooo00<000000?ooo`3oool0CP3oool3000004`0oooo00<000000?ooo`3oool0B03o ool2000002T0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`0R0?ooo`800000C`3o ool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT00180oooo00<000000?ooo`3oool00P3oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02P3oool0 0`000000oooo0?ooo`0D0?ooo`030000003oool0oooo02H0oooo0P0000000`3oool000000?ooo`1C 0?ooo`<00000B@3oool00`000000oooo0?ooo`1:0?ooo`8000009P3oool00`000000oooo0?ooo`0Y 0?ooo`030000003oool0oooo02<0oooo00=000000?ooo`3oool0C03oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT001<0oooo00D000000?ooo`3oool0oooo000000060?ooo`030000003oool0 oooo00D0oooo00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0D0?ooo`030000003oool0 oooo02L0oooo0P00001G0?ooo`<00000AP3oool00`000000oooo0?ooo`1<0?ooo`030000003oool0 oooo0280oooo00<000000?ooo`3oool0:`3oool00`000000oooo0?ooo`1a0?ooo`030000003oool0 oooo0?l0oooo5P3oool10=WIf@004`3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo 00<0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo 01@0oooo0P00000V0?ooo`030000003oool0oooo00800000F03oool3000004<0oooo00<000000?oo o`3oool0C@3oool200000240oooo00<000000?ooo`3oool0;@3oool00`000000oooo0?ooo`1`0?oo o`030000003oool0oooo0?l0oooo5P3oool10=WIf@004`3oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo00@0oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0;0?ooo`03 0000003oool0oooo01D0oooo00<000000?ooo`3oool08P3oool00`000000oooo0?ooo`030?ooo`80 0000F@3oool4000003l0oooo00<000000?ooo`3oool0C`3oool00`000000oooo0?ooo`0M0?ooo`03 0000003oool0oooo02l0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`150?ooo`03 0000003oool0oooo0?l0oooo5P3oool10=WIf@00503oool01@000000oooo0?ooo`3oool0000000H0 oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo01H0 oooo0P00000Q0?ooo`030000003oool0oooo00H0oooo0`00001J0?ooo`D00000>P3oool00`000000 oooo0?ooo`1@0?ooo`030000003oool0oooo01/0oooo00<000000?ooo`3oool0<@3oool00`000000 oooo0?ooo`0W0?ooo`800000A@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT001@0oooo 00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00H0oooo 00<000000?ooo`3oool02`3oool00`000000oooo0?ooo`0G0?ooo`030000003oool0oooo01d0oooo 00<000000?ooo`3oool02P3oool2000005d0oooo1@00000e0?ooo`030000003oool0oooo0540oooo 0P00000J0?ooo`030000003oool0oooo03<0oooo00<000000?ooo`3oool0:03oool2000004<0oooo 00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000D0?ooo`030000003oool0oooo0080oooo00<0 00000?ooo`3oool0103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00/0oooo00<0 00000?ooo`3oool05`3oool2000001`0oooo00<000000?ooo`3oool03@3oool200000600oooo1@00 000`0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool05P3oool00`000000oooo0?oo o`0e0?ooo`030000003oool0oooo02T0oooo0`0000100?ooo`030000003oool0oooo0?l0oooo5P3o ool10=WIf@005@3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00@0oooo00<00000 0?ooo`3oool01`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo01P0oooo00<00000 0?ooo`3oool0603oool00`000000oooo0?ooo`0@0?ooo`800000H`3oool5000002/0oooo00<00000 0?ooo`3oool0E03oool00`000000oooo0?ooo`0D0?ooo`030000003oool0oooo03L0oooo00<00000 0?ooo`3oool0:`3oool00d000000oooo0?ooo`0m0?ooo`030000003oool0oooo0?l0oooo5P3oool1 0=WIf@005@3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00@0oooo00<000000?oo o`3oool01`3oool00`000000oooo0?ooo`0<0?ooo`8000006@3oool2000001L0oooo00<000000?oo o`3oool04`3oool2000006H0oooo1000000W0?ooo`030000003oool0oooo05D0oooo00<000000?oo o`3oool04P3oool00`000000oooo0?ooo`0i0?ooo`030000003oool0oooo06X0oooo00<000000?oo o`3oool0o`3ooolF0?ooo`40fMWI000F0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3o ool0103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00d0oooo00<000000?ooo`3o ool0603oool2000001@0oooo00<000000?ooo`3oool05P3oool2000006P0oooo1@00000R0?ooo`03 0000003oool0oooo05H0oooo00<000000?ooo`3oool0403oool00`000000oooo0?ooo`0k0?ooo`03 0000003oool0oooo06T0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000F0?ooo`030000 003oool0oooo0080oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`070?ooo`030000 003oool0oooo00d0oooo00<000000?ooo`3oool06@3oool00`000000oooo0?ooo`0@0?ooo`030000 003oool0oooo01T0oooo0P00001[0?ooo`D000007@3oool00`000000oooo0?ooo`1G0?ooo`030000 003oool0oooo00h0oooo00<000000?ooo`3oool0?@3oool00`000000oooo0?ooo`0`0?ooo`030000 003oool0oooo03D0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000G0?ooo`030000003o ool0oooo0080oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`080?ooo`030000003o ool0oooo00d0oooo0P00000J0?ooo`8000003`3oool00`000000oooo0?ooo`0L0?ooo`<00000K@3o ool4000001T0oooo00<000000?ooo`3oool0F03oool00`000000oooo0?ooo`0<0?ooo`030000003o ool0oooo03l0oooo00<000000?ooo`3oool0<03oool2000003D0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI000G0?ooo`030000003oool0oooo0080oooo00<000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`070?ooo`030000003oool0oooo00l0oooo00<000000?ooo`3oool06@3oool0 0`000000oooo0?ooo`0;0?ooo`030000003oool0oooo0200oooo0`00001^0?ooo`D00000503oool0 0`000000oooo0?ooo`1I0?ooo`8000002`3oool00`000000oooo0?ooo`110?ooo`030000003oool0 oooo0340oooo0`00000b0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00603oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool01`3oool00`00 0000oooo0?ooo`0?0?ooo`8000006P3oool2000000X0oooo00<000000?ooo`3oool0903oool30000 0700oooo1000000@0?ooo`030000003oool0oooo05/0oooo00<000000?ooo`3oool01`3oool00`00 0000oooo0?ooo`130?ooo`030000003oool0oooo03<0oooo0P0000000d000000oooo0?ooo`0]0?oo o`030000003oool0oooo0?l0oooo5P3oool10=WIf@00603oool00`000000oooo0?ooo`020?ooo`03 0000003oool0oooo00D0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0@0?ooo`03 0000003oool0oooo01T0oooo0P0000070?ooo`030000003oool0oooo02P0oooo0P00001b0?ooo`D0 00002`3oool00`000000oooo0?ooo`1L0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3o ool0A@3oool00`000000oooo0?ooo`1T0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00 6@3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0 203oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo01X0oooo00<000000?ooo`3oool0 0`3oool00`000000oooo0?ooo`0[0?ooo`<00000M03oool5000000H0oooo00<000000?ooo`3oool0 G@3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo04L0oooo00<000000?ooo`3oool0 H`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT001T0oooo00<000000?ooo`3oool00`3o ool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0403o ool2000001/0oooo0P0000020?ooo`030000003oool0oooo02l0oooo0`00001f0?ooo`@000000P3o ool00`000000oooo0?ooo`1N0?ooo`050000003oool0oooo0?ooo`000000B`3oool00`000000oooo 0?ooo`0i0?ooo`@000009@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT001X0oooo00<0 00000?ooo`3oool00P3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo00T0oooo00<0 00000?ooo`3oool04@3oool00`000000oooo0?ooo`0J0?ooo`800000=@3oool3000007L0oooo1@00 001O0?ooo`030000003oool0000004d0oooo00<000000?ooo`3oool0?03oool300000280oooo00<0 00000?ooo`3oool0o`3ooolF0?ooo`40fMWI000J0?ooo`030000003oool0oooo00<0oooo00<00000 0?ooo`3oool01@3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo0140oooo00<00000 0?ooo`3oool06@3oool010000000oooo00000000000f0?ooo`<00000MP3oool00`000000oooo0?oo o`04000005`0oooo00<000000?ooo`3oool0C@3oool00`000000oooo0?ooo`0n0?ooo`0300000400 0000oooo01l0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000K0?ooo`030000003oool0 oooo0080oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`090?ooo`030000003oool0 oooo0140oooo00<000000?ooo`3oool05`3oool00`000000oooo0?ooo`020?ooo`800000=`3oool3 000007<0oooo00<000000?ooo`3oool0103oool5000005H0oooo00@000000?ooo`0000000000CP3o ool00`000000oooo0?ooo`1O0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@006`3oool0 0`000000oooo0?ooo`030?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02@3oool0 0`000000oooo0?ooo`0A0?ooo`8000005P3oool00`000000oooo0?ooo`050?ooo`800000>03oool4 000006l0oooo00<000000?ooo`3oool02@3oool400000540oooo00<000000?ooo`3oool00P3oool0 0`000000oooo0?ooo`1<0?ooo`030000003oool0oooo04D0oooo0P00000G0?ooo`030000003oool0 oooo0?l0oooo5P3oool10=WIf@00703oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo 00H0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo 0180oooo00<000000?ooo`3oool0203oool2000003X0oooo0`00001/0?ooo`030000003oool0oooo 00d0oooo0`00001=0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0C03oool00`00 0000oooo0?ooo`160?ooo`<00000503oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT001`0 oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00X0 oooo00<000000?ooo`3oool04P3oool00`000000oooo0?ooo`0@0?ooo`030000003oool0oooo00/0 oooo0P00000k0?ooo`<00000J@3oool00`000000oooo0?ooo`0@0?ooo`@00000B03oool00`000000 oooo0?ooo`060?ooo`800000C@3oool00`000000oooo0?ooo`180?ooo`@0000000=000000?ooo`3o ool03@3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT001d0oooo00<000000?ooo`3oool0 0`3oool00`000000oooo0?ooo`060?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0 4P3oool2000000l0oooo00<000000?ooo`3oool03P3oool2000003`0oooo0`00001V0?ooo`030000 003oool0oooo01@0oooo0`0000140?ooo`030000003oool0oooo00T0oooo00=000000?ooo`3oool0 B`3oool00`000000oooo0?ooo`1K0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@007@3o ool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool02P3o ool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool04@3o ool2000003d0oooo1000001R0?ooo`030000003oool0oooo01L0oooo1000000o0?ooo`030000003o ool0oooo05T0oooo00<000000?ooo`3oool0DP3oool2000000H0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI000N0?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool01`3oool0 0`000000oooo0?ooo`0:0?ooo`800000503oool2000000X0oooo00<000000?ooo`3oool0503oool2 000003l0oooo1000001N0?ooo`030000003oool0oooo01/0oooo0`00000k0?ooo`030000003oool0 oooo05/0oooo00<000000?ooo`3oool0D`3oool400000080oooo00<000000?ooo`3oool0o`3ooolF 0?ooo`40fMWI000N0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool01`3oool00`00 0000oooo0?ooo`0;0?ooo`030000003oool0oooo01<0oooo0P0000070?ooo`030000003oool0oooo 01L0oooo0`0000100?ooo`<00000F`3oool00`000000oooo0?ooo`0N0?ooo`800000>03oool00`00 0000oooo0?ooo`1M0?ooo`030000003oool0oooo05H0oooo1000003o0?oooaL0oooo0@3IfMT001l0 oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`070?ooo`030000003oool0oooo00/0 oooo00<000000?ooo`3oool0503oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo01/0 oooo0P0000110?ooo`@00000E`3oool00`000000oooo0?ooo`0P0?ooo`<00000=03oool00`000000 oooo0?ooo`1O0?ooo`030000003oool0oooo05L0oooo00<000000?ooo`0000000`00003o0?oooa<0 oooo0@3IfMT001l0oooo00<000000?ooo`3oool0103oool00`000000oooo0?ooo`080?ooo`030000 003oool0oooo00/0oooo00<000000?ooo`3oool0503oool200000080oooo00<000000?ooo`3oool0 7P3oool300000480oooo1000001C0?ooo`030000003oool0oooo02<0oooo0`00000`0?ooo`030000 003oool0oooo01@0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`1F0?ooo`030000 003oool0oooo00<0oooo1P00003o0?ooo`d0oooo0@3IfMT00200oooo00<000000?ooo`3oool0103o ool00`000000oooo0?ooo`080?ooo`030000003oool0oooo00/0oooo00<000000?ooo`3oool05@3o ool2000002@0oooo0P0000140?ooo`@00000C`3oool00`000000oooo0?ooo`0V0?ooo`800000;@3o ool00`000000oooo0?ooo`0F0?ooo`030000003oool0oooo04X0oooo00<000000?ooo`3oool0E@3o ool00`000000oooo0?ooo`090?ooo`H00000o`3oool70?ooo`40fMWI000P0?ooo`030000003oool0 oooo00D0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0;0?ooo`8000005@3oool3 000002D0oooo0P0000160?ooo`@00000B`3oool00`000000oooo0?ooo`0X0?ooo`800000:P3oool0 0`000000oooo0?ooo`0H0?ooo`030000003oool0oooo04X0oooo00<000000?ooo`3oool0E03oool0 0`000000oooo0?ooo`0?0?ooo`@00000o`3oool30?ooo`40fMWI000Q0?ooo`030000003oool0oooo 00D0oooo00<000000?ooo`3oool0203oool00`000000oooo0?ooo`0<0?ooo`030000003oool0oooo 0140oooo00@000000?ooo`3oool0oooo0P00000U0?ooo`<00000A`3oool5000004H0oooo00<00000 0?ooo`3oool0:P3oool2000002L0oooo00<000000?ooo`3oool06P3oool00`000000oooo0?ooo`1: 0?ooo`030000003oool0oooo05<0oooo00<000000?ooo`3oool04`3oool500000?d0oooo0@3IfMT0 0280oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`080?ooo`030000003oool0oooo 00`0oooo00<000000?ooo`3oool03`3oool00`000000oooo0?ooo`040?ooo`8000009P3oool20000 04X0oooo1@0000110?ooo`030000003oool0oooo02`0oooo0P00000T0?ooo`030000003oool0oooo 01`0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`1B0?ooo`030000003oool0oooo 01P0oooo1`00003f0?ooo`40fMWI000S0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3o ool0203oool00`000000oooo0?ooo`0<0?ooo`8000003P3oool00`000000oooo0?ooo`070?ooo`80 00009P3oool3000004`0oooo1000000m0?ooo`030000003oool0oooo02h0oooo0P00000Q0?ooo`03 0000003oool0oooo01h0oooo00<000000?ooo`3oool0BP3oool00`000000oooo0?ooo`1A0?ooo`03 0000003oool0oooo01l0oooo1000003b0?ooo`40fMWI000S0?ooo`030000003oool0oooo00D0oooo 00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0=0?ooo`030000003oool0oooo00X0oooo 00<000000?ooo`3oool02P3oool2000002L0oooo0`00001=0?ooo`D00000>03oool00`000000oooo 0?ooo`0`0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0803oool00`0000100000 0?ooo`1:0?ooo`030000003oool0oooo0500oooo00<000000?ooo`3oool08`3oool600000>`0oooo 0@3IfMT002@0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`090?ooo`030000003o ool0oooo00d0oooo0P0000090?ooo`030000003oool0oooo00d0oooo0P00000X0?ooo`@00000CP3o ool5000003<0oooo00<000000?ooo`3oool0<@3oool2000001`0oooo00<000000?ooo`3oool0K`3o ool00`000000oooo0?ooo`1?0?ooo`030000003oool0oooo02T0oooo1`00003U0?ooo`40fMWI000U 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0> 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool0403oool3000002T0oooo0`00001@ 0?ooo`D00000;P3oool00`000000oooo0?ooo`0c0?ooo`8000006@3oool00`000000oooo0?ooo`1a 0?ooo`030000003oool0oooo04h0oooo00<000000?ooo`3oool0<03oool500000>00oooo0@3IfMT0 02H0oooo00<000000?ooo`3oool01@3oool00`000000oooo0?ooo`090?ooo`8000003`3oool20000 00@0oooo00<000000?ooo`3oool0503oool2000002X0oooo0`00001B0?ooo`@00000:P3oool00`00 0000oooo0?ooo`0e0?ooo`8000005P3oool00`000000oooo0?ooo`1c0?ooo`030000003oool0oooo 04d0oooo00<000000?ooo`3oool0=@3oool700000=T0oooo0@3IfMT002H0oooo00<000000?ooo`3o ool01P3oool00`000000oooo0?ooo`0:0?ooo`030000003oool0oooo00h0oooo0P0000000`3oool0 00000?ooo`0H0?ooo`800000:`3oool400000580oooo1@00000U0?ooo`030000003oool0oooo03L0 oooo0P00000C0?ooo`030000003oool0oooo02`0oooo00<000000?ooo`3oool0AP3oool00`000000 oooo0?ooo`1<0?ooo`030000003oool0oooo03`0oooo2@00003@0?ooo`40fMWI000W0?ooo`030000 003oool0oooo00H0oooo00<000000?ooo`3oool02P3oool00`000000oooo0?ooo`0?0?ooo`800000 6`3oool2000002d0oooo0`00001D0?ooo`D00000803oool00`000000oooo0?ooo`0i0?ooo`030000 003oool0oooo00l0oooo00<000000?ooo`3oool0;P3oool00`000000oooo0?ooo`160?ooo`030000 003oool0oooo04/0oooo00<000000?ooo`3oool0A@3oool800000`3oool00`000000oooo0?ooo`0;0?ooo`030000003oool0oooo03<0oooo0P000016 0?ooo`030000003oool0oooo04T0oooo00<000000?ooo`3oool0DP3oool700000;`0oooo0@3IfMT0 02X0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`090?ooo`8000002P3oool00`00 0000oooo0?ooo`060?ooo`800000703oool200000300oooo0`00001I0?ooo`D000004@3oool00`00 0000oooo0?ooo`0l0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool0=P3oool00`00 001000000?ooo`140?ooo`030000003oool0oooo04P0oooo00<000000?ooo`3oool0F@3oool80000 0;@0oooo0@3IfMT002/0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0:0?ooo`03 0000003oool0oooo00H0oooo00<000000?ooo`3oool02@3oool00`000000oooo0?ooo`0K0?ooo`<0 0000<03oool3000005/0oooo1@00000<0?ooo`030000003oool0oooo03d0oooo00<000000?ooo`3o ool01`3oool00`000000oooo0?ooo`1o0?ooo`030000003oool0oooo04L0oooo00<000000?ooo`3o ool0H@3oool600000:h0oooo0@3IfMT002/0oooo00<000000?ooo`3oool0203oool00`000000oooo 0?ooo`0:0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool02`3oool2000001h0oooo 0`00000`0?ooo`@00000G03oool5000000L0oooo00<000000?ooo`3oool0?P3oool2000000H0oooo 00<000000?ooo`3oool0P@3oool00`000000oooo0?ooo`160?ooo`030000003oool0oooo06L0oooo 2000002V0?ooo`40fMWI000/0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool02P3o ool2000000<0oooo00<000000?ooo`3oool03P3oool2000001l0oooo0`00000a0?ooo`<00000GP3o ool500000080oooo00<000000?ooo`3oool0@03oool00`000000oooo0?ooo`020?ooo`030000003o ool0oooo08<0oooo00<000000?ooo`3oool0A@3oool00`000000oooo0?ooo`1_0?ooo`P00000WP3o ool10=WIf@00;@3oool00`000000oooo0?ooo`080?ooo`800000303oool00`000000oooo0000000C 0?ooo`800000803oool200000380oooo1000001O0?ooo`P00000?P3oool010000000oooo0?ooo`00 00150?ooo`030000003oool0oooo03l0oooo00<000000?ooo`3oool0A03oool00`000000oooo0?oo o`1g0?ooo`H00000V03oool10=WIf@00;P3oool00`000000oooo0?ooo`090?ooo`030000003oool0 oooo00X0oooo00<000000?ooo`3oool0503oool200000200oooo0`00000c0?ooo`@00000G@3oool0 0`000000oooo0?ooo`030?ooo`@00000>`3oool2000004L0oooo0`00000o0?ooo`030000003oool0 oooo04<0oooo00<000000?ooo`3oool0O@3oool9000008l0oooo0@3IfMT002l0oooo00<000000?oo o`3oool02@3oool00`000000oooo0?ooo`080?ooo`040000003oool00000000001H0oooo0P00000Q 0?ooo`<00000=03oool5000005P0oooo00<000000?ooo`3oool01`3oool5000003H0oooo0P00001: 0?ooo`800000?P3oool00`000000oooo0?ooo`120?ooo`030000003oool0oooo08H0oooo3@000022 0?ooo`40fMWI000`0?ooo`030000003oool0oooo00T0oooo00<000000?ooo`3oool01P3oool00`00 0000oooo0?ooo`020?ooo`030000003oool0oooo01D0oooo0P00000R0?ooo`<00000=P3oool40000 05@0oooo00<000000?ooo`3oool0303oool400000340oooo00@000000?ooo`3oool00000B`3oool0 0`00001000000?ooo`0l0?ooo`030000003oool0oooo0440oooo00<000000?ooo`3oool0T`3oool9 000007T0oooo0@3IfMT00340oooo00<000000?ooo`3oool02@3oool2000000D0oooo00<000000?oo o`3oool0103oool2000001L0oooo0P00000S0?ooo`<00000=`3oool5000004l0oooo00<000000?oo o`3oool0403oool3000002d0oooo00<000000?ooo`3oool00P3oool00`000000oooo0?ooo`280?oo o`030000003oool0oooo0400oooo00<000000?ooo`3oool0W03oool6000007<0oooo0@3IfMT00380 oooo0P00000;0?ooo`050000003oool0oooo0?ooo`0000002@3oool2000001L0oooo0P00000T0?oo o`@00000>03oool4000004/0oooo00<000000?ooo`3oool04`3oool4000002P0oooo00<000000?oo o`3oool0103oool2000008T0oooo00<000000?ooo`3oool0?`3oool00`000000oooo0?ooo`2R0?oo o`/00000J03oool10=WIf@00=03oool00`000000oooo0?ooo`090?ooo`030000003oool0000000`0 oooo0P00000G0?ooo`<000009@3oool3000003T0oooo1@0000160?ooo`030000003oool0oooo01L0 oooo0P00000U0?ooo`030000003oool0oooo00L0oooo00<000000?ooo`3oool0CP3oool2000003L0 oooo00<000000?ooo`3oool0?P3oool00`000000oooo0?ooo`2]0?ooo`/00000G@3oool10=WIf@00 =@3oool00`000000oooo0?ooo`090?ooo`8000003P3oool2000001P0oooo0`00000U0?ooo`<00000 >`3oool600000400oooo00<000000?ooo`3oool06@3oool400000200oooo00<000000?ooo`3oool0 2@3oool00d000000oooo0?ooo`1?0?ooo`<00000=@3oool00`000000oooo0?ooo`0m0?ooo`030000 003oool0oooo0;P0oooo1`00001F0?ooo`40fMWI000f0?ooo`030000003oool0oooo00L0oooo00<0 00000?ooo`3oool00P00000>0?ooo`8000006@3oool2000002H0oooo1000000m0?ooo`H00000>P3o ool00`000000oooo0?ooo`0M0?ooo`8000007@3oool00`000000oooo0?ooo`1O0?ooo`800000=03o ool00`000000oooo0?ooo`0l0?ooo`030000003oool0oooo0;l0oooo2`00001;0?ooo`40fMWI000g 0?ooo`030000003oool0oooo00D0oooo00<000000?ooo`3oool00`3oool00`000000oooo0?ooo`0= 0?ooo`8000006@3oool3000002L0oooo0`0000100?ooo`D00000=@3oool00`000000oooo0?ooo`0O 0?ooo`8000006P3oool00`000000oooo0?ooo`1R0?ooo`03000004000000oooo0380oooo00<00000 0?ooo`3oool0>`3oool00`000000oooo0?ooo`3:0?ooo`/00000@03oool10=WIf@00>03oool20000 00@0oooo00<000000?ooo`3oool01@3oool2000000l0oooo0`00000I0?ooo`<000009`3oool40000 0440oooo1P00000_0?ooo`030000003oool0oooo0240oooo0P00000G0?ooo`030000003oool0oooo 09T0oooo00<000000?ooo`3oool0>P3oool00`000000oooo0?ooo`3E0?ooo`P00000>03oool10=WI f@00>P3oool010000000oooo0?ooo`00000:0?ooo`030000003oool0oooo00l0oooo0P00000J0?oo o`<00000:03oool4000004<0oooo1P00000Y0?ooo`030000003oool0oooo02<0oooo00<000000?oo o`3oool04`3oool00`000000oooo0?ooo`1]0?ooo`030000003oool0oooo02/0oooo00<000000?oo o`3oool0>@3oool00`000000oooo0?ooo`3M0?ooo``00000;03oool10=WIf@00>`3oool2000000`0 oooo0P00000A0?ooo`8000006`3oool3000002T0oooo100000150?ooo`H000008`3oool00`000000 oooo0?ooo`0T0?ooo`8000004P3oool00`000000oooo0?ooo`0E0?ooo`030000003oool0oooo05L0 oooo1000000Z0?ooo`030000003oool0oooo03P0oooo00<000000?ooo`3oool0j@3ooolA000001/0 oooo0@3IfMT003/0oooo00<000000?ooo`0000003@3oool200000140oooo0`00000K0?ooo`@00000 :@3oool4000004L0oooo1P00000M0?ooo`030000003oool0oooo02H0oooo0P00000?0?ooo`030000 003oool0oooo01L0oooo0P00001K0?ooo`<0000000=000000?ooo`3oool09@3oool00`000000oooo 0?ooo`0g0?ooo`030000003oool0oooo0?X0oooo3P00000=0?ooo`40fMWI000j0?ooo`040000003o ool0oooo0?ooo`8000003@3oool200000180oooo0P00000M0?ooo`<00000:P3oool4000004T0oooo 1`00000F0?ooo`030000003oool0oooo02P0oooo0P00000<0?ooo`030000003oool0oooo01X0oooo 0P0000250?ooo`030000003oool0oooo03H0oooo00<000000?ooo`3oool0o`3oool90?ooo`P00000 1@3oool10=WIf@00>@3oool00`000000oooo0?ooo`040?ooo`030000003oool0oooo00`0oooo0P00 000B0?ooo`<000007@3oool3000002/0oooo1000001<0?ooo`H00000403oool00`000000oooo0?oo o`0Z0?ooo`030000003oool0oooo00P0oooo00<000000?ooo`3oool07@3oool00`000000oooo0?oo o`1Q0?ooo`800000803oool00`000000oooo0?ooo`0e0?ooo`030000003oool0oooo0?l0oooo4@3o ool40000005000000@3IfMT003P0oooo00<000000?ooo`3oool01P3oool2000000h0oooo0P00000C 0?ooo`8000007P3oool4000002/0oooo1000001>0?ooo`L000002@3oool00`000000oooo0?ooo`0[ 0?ooo`030000003oool0oooo00H0oooo00<000000?ooo`3oool07`3oool00`00001000000?ooo`1R 0?ooo`@000007@3oool00`000000oooo0?ooo`0d0?ooo`030000003oool0oooo0?l0oooo5P3oool1 0=WIf@00=`3oool00`000000oooo0?ooo`090?ooo`030000003oool0oooo00d0oooo0P00000C0?oo o`800000803oool3000002`0oooo1000001A0?ooo`H000000`3oool00`000000oooo0?ooo`0/0?oo o`8000001@3oool00`000000oooo0?ooo`290?ooo`80000000=000000?ooo`3oool06@3oool00`00 0000oooo0?ooo`0c0?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00=P3oool00`000000 oooo0?ooo`0;0?ooo`8000003`3oool2000001<0oooo0`00000P0?ooo`@00000;03oool500000580 oooo1@00000_0?ooo`050000003oool0oooo0?ooo`000000Z`3oool00`000000oooo0?ooo`0b0?oo o`030000003oool0oooo0?l0oooo5P3oool10=WIf@00=@3oool00`000000oooo0?ooo`0>0?ooo`80 00003`3oool2000001@0oooo1000000P0?ooo`@00000;@3oool6000004l0oooo00<000000?ooo`00 00001@00000Z0?ooo`030000003oool0000009P0oooo0`00000B0?ooo`030000003oool0oooo0340 oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000d0?ooo`030000003oool0oooo0140oooo 0P00000?0?ooo`8000005P3oool300000240oooo1000000_0?ooo`H00000B@3oool00`000000oooo 0?ooo`050?ooo`D000009P3oool00`000000oooo0?ooo`0[0?ooo`<00000K03oool500000003@000 003oool0oooo00/0oooo00<000000?ooo`3oool0<03oool00`000000oooo0?ooo`3o0?oooaH0oooo 0@3IfMT003<0oooo00<000000?ooo`3oool0503oool2000000l0oooo0P00000G0?ooo`<000008P3o ool500000300oooo1@0000140?ooo`030000003oool0oooo00X0oooo1000000Q0?ooo`030000003o ool0000002l0oooo0P00001g0?ooo`D000000P3oool00`000000oooo0?ooo`0_0?ooo`030000003o ool0oooo0?l0oooo5P3oool10=WIf@0003oool00`000000oooo0?ooo`0A 0?ooo`D000005`3oool00`000000oooo0?ooo`030?ooo`030000003oool0oooo02l0oooo00<00000 @000003oool0N`3oool00`000000oooo0?ooo`050?ooo`@00000903oool00`000000oooo0?ooo`3o 0?oooaH0oooo0@3IfMT00300oooo00<000000?ooo`3oool07@3oool200000140oooo0P00000I0?oo o`@00000903oool5000003@0oooo1P00000b0?ooo`030000003oool0oooo01H0oooo00<000000?oo o`3oool04`3oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo0:d0oooo00<000000?oo o`3oool0203oool400000003@000003oool0oooo01d0oooo00<000000?ooo`3oool0o`3ooolF0?oo o`40fMWI000_0?ooo`030000003oool0oooo0200oooo0`00000@0?ooo`<000006P3oool4000002D0 oooo1000000f0?ooo`H00000;03oool00`000000oooo0?ooo`0G0?ooo`8000004P3oool00`000000 oooo0?ooo`070?ooo`030000003oool0oooo0:d0oooo00<000000?ooo`3oool04`3oool4000001@0 oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI000^0?ooo`030000003oool0oooo02@0oooo 0`00000@0?ooo`<000006`3oool4000002D0oooo1@00000g0?ooo`P00000903oool00`000000oooo 0?ooo`0I0?ooo`8000003`3oool00`000000oooo0?ooo`090?ooo`03@000003oool0oooo03D0oooo 0P00001f0?ooo`030000003oool0oooo01H0oooo1@0000000d000000oooo0?ooo`050?ooo`@00000 0`3oool00`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT002d0oooo00<000000?ooo`3oool0:03o ool200000140oooo1000000K0?ooo`D000009@3oool5000003X0oooo2000000L0?ooo`030000003o ool0oooo01/0oooo0`00000;0?ooo`030000003oool0oooo04@0oooo1000001c0?ooo`030000003o ool0oooo02H0oooo4000003o0?ooo``0oooo0@3IfMT002`0oooo00<000000?ooo`3oool0:`3oool3 00000180oooo1000000L0?ooo`@000009P3oool4000003h0oooo2000000D0?ooo`030000003oool0 oooo01h0oooo0P0000080?ooo`030000003oool0oooo04T0oooo0P0000000d000000oooo0?ooo`1_ 0?ooo`030000003oool0oooo02P0oooo00<000000?ooo`3oool02P3oool900000?l0oooo0`3oool1 0=WIf@00:`3oool00`000000oooo0?ooo`0_0?ooo`<000004`3oool5000001/0oooo1000000V0?oo o`D00000@@3oool8000000`0oooo00<000000?ooo`3oool0803oool00`000000oooo0?ooo`040?oo o`030000003oool0oooo0;l0oooo00<000000?ooo`3oool09`3oool00`000000oooo0?ooo`0C0?oo oa400000l@3oool10=WIf@00:P3oool00`000000oooo0?ooo`0c0?ooo`@00000503oool4000001/0 oooo1@00000V0?ooo`L00000@P3oool8000000@0oooo00<000000?ooo`3oool08@3oool2000000<0 oooo00<000000?ooo`3oool0503oool2000003l0oooo0`00001Y0?ooo`030000003oool0oooo02H0 oooo00<000000?ooo`3oool0903ooolC00000=h0oooo0@3IfMT002T0oooo00<000000?ooo`3oool0 >03oool4000001@0oooo1@00000K0?ooo`@00000:@3oool800000480oooo2@00000Q0?ooo`030000 003oool0000001T0oooo0`00000o0?ooo`@00000IP3oool00`000000oooo0?ooo`0U0?ooo`030000 003oool0oooo03L0oooo5000003:0?ooo`40fMWI000X0?ooo`030000003oool0oooo03d0oooo0`00 000F0?ooo`@000006`3oool5000002`0oooo2000000n0?ooo`030000003oool0oooo0080oooo1P00 000L0?ooo`030000003oool0oooo01/0oooo0P0000110?ooo`03000004000000oooo06@0oooo00<0 00000?ooo`3oool0903oool00`000000oooo0?ooo`1;0?ooo`X00000`03oool10=WIf@009`3oool0 0`000000oooo0?ooo`110?ooo`@000005P3oool5000001/0oooo1@00000_0?ooo`T00000=@3oool0 0`000000oooo0?ooo`080?ooo`D000005P3oool00`000000oooo0000000N0?ooo`03000004000000 oooo04P0oooo1@00001I0?ooo`030000003oool0oooo02<0oooo00<000000?ooo`3oool0E@3ooolF 00000:X0oooo0@3IfMT002H0oooo00<000000?ooo`3oool0AP3oool4000001L0oooo1@00000K0?oo o`H000000?ooo`030000003oool0oooo00<0oooo00<000000?ooo`3oool0M@3oool30000 04d0oooo00<000000?ooo`3oool08@3oool00`000000oooo0?ooo`210?oooaT00000N`3oool10=WI f@00903oool00`000000oooo0?ooo`1@0?ooo`@00000603oool5000001d0oooo1`00000f0?ooo`P0 00007@3oool00`000000oooo0?ooo`0C0?ooo`8000002`3oool00`000000oooo0?ooo`050?ooo`03 0000003oool0oooo0280oooo0`00001B0?ooo`D0000000=000000?ooo`3oool0AP3oool00`000000 oooo0?ooo`0P0?ooo`030000003oool0oooo09X0oooo6@00001R0?ooo`40fMWI000S0?ooo`030000 003oool0oooo05D0oooo1000000I0?ooo`D000007`3oool9000003D0oooo2@00000D0?ooo`030000 003oool0oooo01D0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`070?ooo`800000 9@3oool4000005`0oooo1P00000k0?ooo`030000003oool0oooo01l0oooo00<000000?ooo`3oool0 /`3oool>000005@0oooo0@3IfMT00280oooo00<000000?ooo`3oool0FP3oool4000001X0oooo1@00 000S0?ooo`T00000=@3oool8000000`0oooo00<000000?ooo`3oool05P3oool2000000H0oooo00<0 00000?ooo`3oool02@3oool00d000000oooo0?ooo`0W0?ooo`03000004000000oooo05l0oooo0P00 00000d000000oooo0?ooo`050?ooo`H00000;03oool00`000000oooo0?ooo`0N0?ooo`030000003o ool0oooo0<40oooo7@00000g0?ooo`40fMWI000Q0?ooo`030000003oool0oooo05l0oooo1000000K 0?ooo`D000009`3oool9000003@0oooo200000040?ooo`030000003oool0oooo01P0oooo00<00000 0?ooo`3oool00P3oool00`000000oooo0?ooo`2V0?ooo`<0000000=000000?ooo`3oool01@3oool0 0`000000oooo0?ooo`0O0?ooo`030000003oool0oooo01d0oooo00<000000?ooo`3oool0gP3ooolN 000001T0oooo0@3IfMT00200oooo00<000000?ooo`3oool0I03oool5000001/0oooo1P00000Z0?oo o`X00000`00001U0?ooo`40fMWI000J0?ooo`030000003oool0oooo09<0oooo1`00000O0?oo o``00000<@3oool900000140oooo0P0000000`3oool000000?ooo`0:0?ooo`03@000003oool0oooo 01h0oooo1000001I0?ooo`P0000000=000000?ooo`3oool01P3oool2000004L0oooo00<000000?oo o`3oool05P3oool00`000000oooo0?ooo`2`0?ooocD00000<03oool10=WIf@006@3oool00`000000 oooo0?ooo`2K0?ooo`X000008@3oool;000002X0oooo00<000000?ooo`3oool00P3oool7000000`0 oooo00<000000?ooo`3oool0;`3oool300000003@000003oool0oooo00H0oooo1000001L0?ooo`H0 000000=000000?ooo`3oool01@3oool900000003@000003oool0oooo00D0oooo1000000U0?ooo`03 0000003oool0oooo01D0oooo00<000000?ooo`3oool0i@3oool_0000005000000@3IfMT001P0oooo 00<000000?ooo`3oool0YP3oool<00000200oooo3000000N0?ooo`030000003oool0oooo00T0oooo 0`0000080?ooo`030000003oool0000001<0oooo0P00000[0?ooo`@0000000=000000?ooo`3oool0 N03oool400000003@000003oool0oooo00H0oooo200000000d000000oooo0?ooo`050?ooo`X00000 1`3oool800000003@000003oool0oooo00@0oooo9P00003b0?ooo`40fMWI000G0?ooo`030000003o ool0oooo0;<0oooo3000000P0?ooo``000004P3oool00`000000oooo0?ooo`0<0?ooo`<00000103o ool01@000000oooo0?ooo`3oool0000001@0oooo1000000c0?ooo`T0000000=000000?ooo`3oool0 SP3oool00`000000oooo0?ooo`0C0?ooo`030000003oool0oooo02<0ooooL00000220?ooo`40fMWI 000F0?ooo`030000003oool0oooo0<00oooo3@00000O0?ooo``000001P3oool00`000000oooo0?oo o`0>0?ooo`8000000P3oool00`000000oooo0?ooo`030?ooo`<000005@3oool200000003@000003o ool0oooo03l0oooo200000000d000000oooo0?ooo`060?ooo`P0000000=000000?ooo`3oool0KP3o ool00`000000oooo0?ooo`0B0?ooo`030000003oool0oooo09<0ooooP@000001@0000040fMWI000E 0?ooo`030000003oool0oooo00?ooo`030000003oool0oooo0?l0 oooo5P3oool10=WIf@004@3oool00`000000oooo0?ooo`3o0?ooo`@0oooo00@000000?ooo`3oool0 oooo1`0000050?ooo`030000003oool0oooo00L0oooo00<00000@000003oool06`3oool800000003 @000003oool0oooo0<<0oooo200000000d000000oooo0?ooo`050?ooool0000060000001@0000040 fMWI000@0?ooo`030000003oool0oooo0?l0oooo1@3oool00`000000oooo0?ooo`080?ooo`800000 0P3oool010000000oooo00000000000f0?ooo`P0000000=000000?ooo`3oool01@3oool900000003 @000003oool0oooo00D0oooo200000000d000000oooo0?ooo`060?ooo`P0000000=000000?ooo`3o ool01P3oool800000003@000003oool0oooo0700oooo00<000000?ooo`3oool0303oool00`000000 oooo0?ooo`3o0?oooaH0oooo0@3IfMT000l0oooo00<000000?ooo`3oool0o`3oool60?ooo`030000 003oool0oooo00X0oooo0P0000040?ooo`8000003P3oool900000003@000003oool0oooo06d0oooo 2@0000000d000000oooo0?ooo`050?ooo`P0000000=000000?ooo`3oool01P3oool800000003@000 003oool0oooo00D0oooo2@0000000d000000oooo0?ooo`050?ooo`P0000000=000000?ooo`3oool0 1P3oool800000003@000003oool0oooo00H0oooo200000000d000000oooo0?ooo`050?ooool00000 7@000001@0000040fMWI000>0?ooo`030000003oool0oooo0?l0oooo1`3oool00`000000oooo0?oo o`0:0?ooo`030000003oool0000000D0oooo0`0000000d000000oooo0?ooo`0I0?ooo`P0000000=0 00000?ooo`3oool01P3oool800000003@000003oool0oooo00D0oooo2@0000000d000000oooo0?oo o`050?ooo`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo00D0oooo2@00 00000d000000oooo0?ooo`050?ooo`T0000000=000000?ooo`3oool01@3oool800000003@000003o ool0oooo00H0oooo200000170?ooo`030000003oool0oooo00X0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`40fMWI000=0?ooo`030000003oool0oooo0?l0oooo203oool00`000000oooo0?ooo`09 0?ooo`030000003oool0oooo00<000003P3oool800000003@000003oool0oooo09L0oooo00=00000 0?ooo`3oool01@3oool900000003@000003oool0oooo00D0oooo200000000d000000oooo0?ooo`06 0?ooo`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo0080oooo00<00000 0?ooo`3oool0o`00000Q0000005000000@3IfMT00?l0oooo603oool00`000000oooo0?ooo`080?oo o`030000003oool0oooo00@0oooo0`0000000d000000oooo0?ooo`0I0?ooo`P0000000=000000?oo o`3oool01P3oool800000003@000003oool0oooo00D0oooo2@0000000d000000oooo0?ooo`050?oo o`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo00D0oooo2@0000000d00 0000oooo0?ooo`050?ooo`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo 00H0oooo200000000d000000oooo0?ooo`050?ooo`T0000000=000000?ooo`3oool01@3oool80000 0003@000003oool0oooo00H0oooo200000000d000000oooo0?ooo`050?ooo`T0000000=000000?oo o`3oool01@3oool800000004@000003oool0oooo0?ooool0000060000001@0000040fMWI003o0?oo oaP0oooo00<000000?ooo`3oool01`3oool00`000000oooo0?ooo`0A0?ooo`P0000000=000000?oo o`3oool01@3oool900000003@000003oool0oooo00D0oooo2@0000000d000000oooo0?ooo`050?oo o`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo00D0oooo2@0000000d00 0000oooo0?ooo`050?ooo`P0000000=000000?ooo`3oool01P3oool800000003@000003oool0oooo 00D0oooo2@0000000d000000oooo0?ooo`050?ooo`T0000000=000000?ooo`3oool01@3oool80000 0003@000003oool0oooo00H0oooo200000000d000000oooo0?ooo`050?ooo`T0000000=000000?oo o`3oool01@3oool800000003@000003oool0oooo00H0oooo200000000d000000oooo0?ooo`030?oo ool0000060000001@0000040fMWI003o0?oooaP0oooo00<000000?ooo`3oool01P3oool00`000000 oooo0?ooo`3o0?ooo`80oooo00<000000?ooo`3oool01P3oool00`000000oooo0?ooo`3o0?oooaH0 oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo0?l0oooo 103oool00`000000oooo0?ooo`050?ooo`030000003oool0oooo0?l0oooo5P3oool10=WIf@00o`3o oolH0?ooo`030000003oool0oooo00@0oooo00<000000?ooo`3oool0o`3oool60?ooo`030000003o ool0oooo00@0oooo00<000000?ooo`3oool0o`3ooolF0?ooo`40fMWI003o0?oooaP0oooo00<00000 0?ooo`3oool00`3oool00`000000oooo0?ooo`3o0?ooo`P0oooo00<000000?ooo`3oool00`3oool0 0`000000oooo0?ooo`3o0?oooaH0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`020?oo o`030000003oool0oooo0?l0oooo2P3oool00`000000oooo0?ooo`020?ooo`030000003oool0oooo 0?l0oooo5P3oool10=WIf@00o`3ooolH0?ooo`050000003oool0oooo0?ooo`000000o`3oool>0?oo o`050000003oool0oooo0?ooo`000000o`3ooolH0?ooo`40fMWI003o0?oooaP0oooo00@000000?oo o`3oool00000o`3oool@0?ooo`040000003oool0oooo00000?l0oooo603oool10=WIf@00o`3ooolH 0?ooo`030000003oool000000?l0oooo4P3oool00`000000oooo0000003o0?oooaP0oooo0@3IfMT0 0?l0oooo603oool200000?l0oooo503oool200000?l0oooo603oool10=WIf@00o`3ooolH0?ooool0 00006000003o0?oooaP0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooaD0oooo 00<000000?ooo`3oool0o`3ooolE0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3o oolF0?ooo`030000003oool0oooo0?l0oooo503oool10=WIf@00o`3ooolH0?ooo`030000003oool0 oooo0?l0oooo5`3oool00`000000oooo0?ooo`3o0?oooa<0oooo0@3IfMT00?l0oooo603oool00`00 0000oooo0?ooo`3o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolB0?ooo`40fMWI003o0?oooaP0 oooo00<000000?ooo`3oool0o`3ooolI0?ooo`030000003oool0oooo0?l0oooo4@3oool10=WIf@00 o`3ooolH0?ooo`030000003oool0oooo0?l0oooo6P3oool00`000000oooo0?ooo`3o0?oooa00oooo 0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooa/0oooo00<000000?ooo`3oool0o`3o ool?0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolL0?ooo`030000003oool0 oooo0?l0oooo3P3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo7@3oool00`00 0000oooo0?ooo`3o0?ooo`d0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooah0 oooo00<000000?ooo`3oool0o`3oool<0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0 o`3ooolO0?ooo`030000003oool0oooo0?l0oooo2`3oool10=WIf@00o`3ooolH0?ooo`030000003o ool0oooo0?l0oooo803oool00`000000oooo0?ooo`3o0?ooo`X0oooo0@3IfMT00?l0oooo603oool0 0`000000oooo0?ooo`3o0?ooob40oooo00<000000?ooo`3oool0o`3oool90?ooo`40fMWI003o0?oo oaP0oooo00<000000?ooo`3oool0o`3ooolR0?ooo`030000003oool0oooo0?l0oooo203oool10=WI f@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo8`3oool00`000000oooo0?ooo`3o0?ooo`L0 oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?ooob@0oooo00<000000?ooo`3oool0 o`3oool60?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolU0?ooo`030000003o ool0oooo0?l0oooo1@3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo9P3oool0 0`000000oooo0?ooo`3o0?ooo`@0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oo obL0oooo00<000000?ooo`3oool0o`3oool30?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3o ool0o`3ooolX0?ooo`030000003oool0oooo0?l0oooo0P3oool10=WIf@00o`3ooolH0?ooo`030000 003oool0oooo0?l0oooo:@3oool00`000000oooo0?ooo`3o0?ooo`40oooo0@3IfMT00?l0oooo603o ool00`000000oooo0?ooo`3o0?ooobX0oooo00<000000?ooo`3oool0o`3oool10=WIf@00o`3ooolH 0?ooo`030000003oool0oooo0?l0oooo:`3oool00`000000oooo0?ooo`3n0?ooo`40fMWI003o0?oo oaP0oooo00<000000?ooo`3oool0o`3oool/0?ooo`030000003oool0oooo0?d0oooo0@3IfMT00?l0 oooo603oool00`000000oooo0?ooo`3o0?ooobd0oooo00<000000?ooo`3oool0o03oool10=WIf@00 o`3ooolH0?ooo`030000003oool0oooo0?l0oooo;P3oool00`000000oooo0?ooo`3k0?ooo`40fMWI 003o0?oooaP0oooo00<000000?ooo`3oool0o`3oool_0?ooo`030000003oool0oooo0?X0oooo0@3I fMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooc00oooo00<000000?ooo`3oool0n@3oool1 0=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo<@3oool00`000000oooo0?ooo`3h0?oo o`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolb0?ooo`030000003oool0oooo0?L0 oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooc<0oooo00<000000?ooo`3oool0 mP3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo=03oool00`000000oooo0?oo o`3e0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooole0?ooo`030000003oool0 oooo0?@0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?ooocH0oooo00<000000?oo o`3oool0l`3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo=`3oool00`000000 oooo0?ooo`3b0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolh0?ooo`030000 003oool0oooo0?40oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?ooocT0oooo00<0 00000?ooo`3oool0l03oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo>P3oool0 0`000000oooo0?ooo`3_0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooolk0?oo o`030000003oool0oooo0>h0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooc`0 oooo00<000000?ooo`3oool0k@3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0oooo ?@3oool00`000000oooo0?ooo`3/0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3o ooln0?ooo`030000003oool0oooo0>/0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o 0?ooocl0oooo00<000000?ooo`3oool0jP3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo 0?l0oooo@03oool00`000000oooo0?ooo`3Y0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3o ool0o`3ooom10?ooo`030000003oool0oooo0>P0oooo0@3IfMT00?l0oooo603oool00`000000oooo 0?ooo`3o0?oood80oooo00<000000?ooo`3oool0i`3oool10=WIf@00o`3ooolH0?ooo`030000003o ool0oooo0?l0oooo@`3oool00`000000oooo0?ooo`3V0?ooo`40fMWI003o0?oooaP0oooo00<00000 0?ooo`3oool0o`3ooom40?ooo`030000003oool0oooo0>D0oooo0@3IfMT00?l0oooo603oool00`00 0000oooo0?ooo`3o0?ooodD0oooo00<000000?ooo`3oool0i03oool10=WIf@00o`3ooolH0?ooo`03 0000003oool0oooo0?l0ooooAP3oool00`000000oooo0?ooo`3S0?ooo`40fMWI003o0?oooaP0oooo 00<000000?ooo`3oool0o`3ooom70?ooo`030000003oool0oooo0>80oooo0@3IfMT00?l0oooo603o ool00`000000oooo0?ooo`3o0?ooodP0oooo00<000000?ooo`3oool0h@3oool10=WIf@00o`3ooolH 0?ooo`030000003oool0oooo0?l0ooooB@3oool00`000000oooo0?ooo`3P0?ooo`40fMWI003o0?oo oaP0oooo00<000000?ooo`3oool0o`3ooom:0?ooo`030000003oool0oooo0=l0oooo0@3IfMT00?l0 oooo603oool00`000000oooo0?ooo`3o0?oood/0oooo00<000000?ooo`3oool0gP3oool10=WIf@00 o`3ooolH0?ooo`030000003oool0oooo0?l0ooooC03oool00`000000oooo0?ooo`3M0?ooo`40fMWI 003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooom=0?ooo`030000003oool0oooo0=`0oooo0@3I fMT00?l0oooo603oool00`000000oooo0?ooo`3o0?ooodh0oooo00<000000?ooo`3oool0f`3oool1 0=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0ooooC`3oool00`000000oooo0?ooo`3J0?oo o`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooom@0?ooo`030000003oool0oooo0=T0 oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooe40oooo00<000000?ooo`3oool0 f03oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0ooooDP3oool00`000000oooo0?oo o`3G0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooomC0?ooo`030000003oool0 oooo0=H0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooe@0oooo00<000000?oo o`3oool0e@3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo0?l0ooooE@3oool00`000000 oooo0?ooo`3D0?ooo`40fMWI003o0?oooaP0oooo00<000000?ooo`3oool0o`3ooomF0?ooo`030000 003oool0oooo0=<0oooo0@3IfMT00?l0oooo603oool00`000000oooo0?ooo`3o0?oooeL0oooo00<0 00000?ooo`3oool0dP3oool10=WIf@00o`3ooolF0?ooo`03@00000000000000000800000o`3ooomH 0?ooo`030000003oool0oooo0=40oooo0@3IfMT00?l0oooo5P3oool500000?l0ooooF@3oool01000 0000oooo0?ooo`00003?0?ooo`40fMWI003o0?oooaH0oooo1@00003o0?oooeX0oooo1000003>0?oo o`40fMWI003o0?oooaL0oooo0`0000050?ooo`90000000<0oooo@00004000000o`3ooomA0?ooo`@0 00002`3oool3@0000<00oooo0@3IfMT00?l0oooo5`3oool3000000@0oooo00=000000?ooo`3oool0 0T00003o0?oooe40oooo00=000000000000000000`0000090?ooo`05@000003oool0oooo0?oood00 0000_`3oool10=WIf@00o`3ooolG0?ooo`<00000103oool01D000000oooo0?ooo`3ooom000000?l0 ooooDP3oool5000000T0oooo00=000000?ooo`3oool0`@3oool10=WIf@00o`3ooolG0?ooo`<00000 103oool01D000000oooo0?ooo`3ooom000000?l0ooooE03oool4000000P0oooo00=000000?ooo`3o ool0`@3oool10=WIf@00o`3ooolH0?ooo`030000003oool0oooo00<0oooo00E000000?ooo`3oool0 oooo@000003o0?oooeH0oooo0P0000080?ooo`03@000003oool0oooo0<40oooo0@3IfMT00?l0oooo 603oool00`000000oooo0?ooo`020?ooo`9000000P3oool2@0000?l0ooooF03oool00`000000oooo 0?ooo`040?ooo`E00000`03oool10=WIf@00\ \>"], ImageRangeCache->{{{0, 837}, {443.375, 0}} -> {-1.57438, -0.50001, \ 0.00563865, 0.00563865}}] }, Closed]] }, Closed]] }, Closed]] }, Closed]] }, Open ]] }, FrontEndVersion->"4.1 for Microsoft Windows", ScreenRectangle->{{0, 1024}, {0, 695}}, WindowToolbars->{}, WindowSize->{1016, 668}, WindowMargins->{{0, Automatic}, {Automatic, 0}}, PrintingCopies->1, PrintingPageRange->{Automatic, Automatic}, StyleDefinitions -> "Report.nb" ] (******************************************************************* Cached data follows. If you edit this Notebook file directly, not using Mathematica, you must remove the line containing CacheID at the top of the file. The cache data will then be recreated when you save this file from within Mathematica. *******************************************************************) (*CellTagsOutline CellTagsIndex->{} *) (*CellTagsIndex CellTagsIndex->{} *) (*NotebookFileOutline Notebook[{ Cell[CellGroupData[{ Cell[1727, 52, 425, 13, 183, "Title"], Cell[2155, 67, 25, 3, 46, "Text"], Cell[CellGroupData[{ Cell[2205, 74, 99, 2, 59, "Subtitle"], Cell[CellGroupData[{ Cell[2329, 80, 157, 6, 109, "Section 1"], Cell[CellGroupData[{ Cell[2511, 90, 127, 5, 78, "Subsection"], Cell[2641, 97, 272, 7, 128, "Text"], Cell[CellGroupData[{ Cell[2938, 108, 56, 2, 46, "Input"], Cell[2997, 112, 83, 2, 52, "Print"] }, Open ]], Cell[CellGroupData[{ Cell[3117, 119, 111, 3, 46, "Input"], Cell[3231, 124, 391, 9, 193, "Output"] }, Open ]], Cell[3637, 136, 242, 7, 128, "Text"], Cell[CellGroupData[{ Cell[3904, 147, 74, 2, 46, "Input"], Cell[3981, 151, 120, 3, 45, "Message"] }, Open ]], Cell[4116, 157, 252, 5, 148, "Input"], Cell[4371, 164, 240, 9, 100, "Text"], Cell[4614, 175, 121, 3, 46, "Input"], Cell[CellGroupData[{ Cell[4760, 182, 117, 3, 46, "Input"], Cell[4880, 187, 314, 9, 165, "Output"] }, Open ]], Cell[5209, 199, 404, 12, 101, "Text"], Cell[CellGroupData[{ Cell[5638, 215, 77, 2, 46, "Input"], Cell[5718, 219, 128, 3, 45, "Message"], Cell[5849, 224, 120, 3, 45, "Message"] }, Open ]], Cell[5984, 230, 298, 6, 223, "Input"], Cell[6285, 238, 94, 5, 99, "Text"], Cell[CellGroupData[{ Cell[6404, 247, 134, 4, 46, "Input"], Cell[6541, 253, 337, 6, 153, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[6915, 264, 99, 4, 70, "Subsubsection"], Cell[CellGroupData[{ Cell[7039, 272, 93, 2, 46, "Input"], Cell[7135, 276, 51, 2, 61, "Output"] }, Open ]], Cell[7201, 281, 94, 5, 99, "Text"], Cell[CellGroupData[{ Cell[7320, 290, 105, 2, 46, "Input"], Cell[7428, 294, 257, 5, 153, "Output"] }, Open ]], Cell[7700, 302, 115, 5, 99, "Text"], Cell[CellGroupData[{ Cell[7840, 311, 76, 2, 46, "Input"], Cell[7919, 315, 88, 2, 61, "Output"] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[8068, 324, 79, 4, 62, "Subsection"], Cell[CellGroupData[{ Cell[8172, 332, 58, 2, 46, "Input"], Cell[8233, 336, 83, 2, 52, "Print"] }, Open ]], Cell[8331, 341, 248, 7, 129, "Text"], Cell[CellGroupData[{ Cell[8604, 352, 111, 3, 46, "Input"], Cell[8718, 357, 730, 13, 237, "Output"] }, Open ]], Cell[9463, 373, 153, 6, 99, "Text"], Cell[CellGroupData[{ Cell[9641, 383, 75, 2, 46, "Input"], Cell[9719, 387, 121, 3, 45, "Message"] }, Open ]], Cell[9855, 393, 449, 10, 152, "Input"], Cell[10307, 405, 73, 5, 99, "Text"], Cell[CellGroupData[{ Cell[10405, 414, 88, 2, 46, "Input"], Cell[10496, 418, 134, 3, 45, "Message"], Cell[10633, 423, 126, 3, 45, "Message"] }, Open ]], Cell[10774, 429, 122, 3, 46, "Input"], Cell[CellGroupData[{ Cell[10921, 436, 126, 3, 80, "Input"], Cell[11050, 441, 2502, 59, 171, "Output"] }, Open ]], Cell[13567, 503, 78, 5, 99, "Text"], Cell[CellGroupData[{ Cell[13670, 512, 78, 2, 46, "Input"], Cell[13751, 516, 129, 3, 45, "Message"], Cell[13883, 521, 121, 3, 45, "Message"] }, Open ]], Cell[14019, 527, 295, 6, 223, "Input"], Cell[14317, 535, 111, 5, 99, "Text"], Cell[CellGroupData[{ Cell[14453, 544, 174, 5, 148, "Input"], Cell[14630, 551, 5047, 109, 441, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[19714, 665, 102, 4, 70, "Subsubsection"], Cell[CellGroupData[{ Cell[19841, 673, 120, 3, 46, "Input"], Cell[19964, 678, 114, 3, 62, "Output"] }, Open ]] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[20139, 688, 66, 4, 62, "Subsection"], Cell[20208, 694, 104, 4, 70, "Text"], Cell[CellGroupData[{ Cell[20337, 702, 106, 2, 46, "Input"], Cell[20446, 706, 37893, 694, 1821, "Output"] }, Open ]], Cell[58354, 1403, 118, 5, 99, "Text"], Cell[CellGroupData[{ Cell[58497, 1412, 96, 2, 46, "Input"], Cell[58596, 1416, 3954, 87, 503, "Output"] }, Open ]], Cell[62565, 1506, 119, 5, 99, "Text"], Cell[CellGroupData[{ Cell[62709, 1515, 96, 2, 46, "Input"], Cell[62808, 1519, 34805, 641, 1714, "Output"] }, Open ]], Cell[97628, 2163, 85, 5, 99, "Text"], Cell[CellGroupData[{ Cell[97738, 2172, 117, 3, 46, "Input"], Cell[97858, 2177, 38606, 707, 1858, "Output"] }, Open ]], Cell[136479, 2887, 273, 8, 157, "Text"], Cell[136755, 2897, 1586, 41, 158, "Text"], Cell[138344, 2940, 762, 17, 217, "Input"], Cell[139109, 2959, 112, 5, 99, "Text"], Cell[CellGroupData[{ Cell[139246, 2968, 81, 2, 46, "Input"], Cell[139330, 2972, 35902, 658, 1960, "Output"] }, Open ]], Cell[175247, 3633, 108, 5, 99, "Text"], Cell[175358, 3640, 224, 4, 81, "Input"], Cell[175585, 3646, 86, 5, 99, "Text"], Cell[175674, 3653, 1528, 33, 114, "Input"], Cell[177205, 3688, 59, 5, 99, "Text"], Cell[CellGroupData[{ Cell[177289, 3697, 105, 2, 46, "Input"], Cell[177397, 3701, 1051, 23, 132, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[178485, 3729, 105, 2, 46, "Input"], Cell[178593, 3733, 591, 13, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[179221, 3751, 99, 2, 46, "Input"], Cell[179323, 3755, 462, 9, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[179822, 3769, 105, 2, 46, "Input"], Cell[179930, 3773, 1331, 29, 242, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[181298, 3807, 119, 3, 46, "Input"], Cell[181420, 3812, 617, 13, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[182074, 3830, 119, 3, 46, "Input"], Cell[182196, 3835, 2075, 48, 312, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[184308, 3888, 110, 3, 46, "Input"], Cell[184421, 3893, 2075, 48, 312, "Output"] }, Open ]], Cell[186511, 3944, 62, 5, 99, "Text"], Cell[CellGroupData[{ Cell[186598, 3953, 98, 2, 46, "Input"], Cell[186699, 3957, 51, 2, 61, "Output"] }, Open ]], Cell[186765, 3962, 222, 7, 99, "Text"], Cell[186990, 3971, 100, 3, 80, "Input"], Cell[187093, 3976, 76, 5, 99, "Text"], Cell[CellGroupData[{ Cell[187194, 3985, 73, 2, 46, "Input"], Cell[187270, 3989, 1035, 22, 132, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[188342, 4016, 73, 2, 46, "Input"], Cell[188418, 4020, 629, 15, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[189084, 4040, 78, 2, 46, "Input"], Cell[189165, 4044, 508, 11, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[189710, 4060, 73, 2, 46, "Input"], Cell[189786, 4064, 1226, 27, 242, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[191049, 4096, 78, 2, 46, "Input"], Cell[191130, 4100, 593, 13, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[191760, 4118, 85, 2, 46, "Input"], Cell[191848, 4122, 1885, 43, 242, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[193782, 4171, 65, 4, 62, "Subsection"], Cell[CellGroupData[{ Cell[193872, 4179, 58, 2, 46, "Input"], Cell[193933, 4183, 83, 2, 52, "Print"] }, Open ]], Cell[194031, 4188, 119, 5, 99, "Text"], Cell[194153, 4195, 1549, 38, 282, "Input"], Cell[195705, 4235, 298, 8, 129, "Text"], Cell[CellGroupData[{ Cell[196028, 4247, 81, 2, 46, "Input"], Cell[196112, 4251, 121, 3, 45, "Message"] }, Open ]], Cell[CellGroupData[{ Cell[196270, 4259, 163, 4, 114, "Input"], Cell[196436, 4265, 4804, 143, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[201277, 4413, 181, 4, 80, "Input"], Cell[201461, 4419, 315, 5, 163, "Output"] }, Open ]], Cell[201791, 4427, 268, 7, 129, "Text"], Cell[CellGroupData[{ Cell[202084, 4438, 80, 2, 46, "Input"], Cell[202167, 4442, 123, 3, 45, "Message"] }, Open ]], Cell[202305, 4448, 152, 4, 114, "Input"], Cell[202460, 4454, 100, 3, 80, "Input"], Cell[202563, 4459, 63, 5, 99, "Text"], Cell[CellGroupData[{ Cell[202651, 4468, 169, 5, 114, "Input"], Cell[202823, 4475, 4998, 100, 364, "Output"] }, Open ]], Cell[207836, 4578, 70, 5, 99, "Text"], Cell[207909, 4585, 762, 17, 217, "Input"], Cell[208674, 4604, 51, 5, 99, "Text"], Cell[CellGroupData[{ Cell[208750, 4613, 72, 2, 46, "Input"], Cell[208825, 4617, 3896, 76, 446, "Output"] }, Open ]], Cell[212736, 4696, 79, 5, 99, "Text"], Cell[212818, 4703, 861, 19, 80, "Input"], Cell[213682, 4724, 224, 4, 81, "Input"], Cell[213909, 4730, 74, 5, 99, "Text"], Cell[CellGroupData[{ Cell[214008, 4739, 126, 3, 46, "Input"], Cell[214137, 4744, 1136, 25, 132, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[215310, 4774, 139, 3, 46, "Input"], Cell[215452, 4779, 499, 11, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[215988, 4795, 98, 2, 46, "Input"], Cell[216089, 4799, 452, 10, 102, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[216590, 4815, 88, 4, 62, "Subsection"], Cell[216681, 4821, 85, 2, 46, "Input"], Cell[216769, 4825, 9195, 203, 1075, "Input"], Cell[225967, 5030, 145, 4, 80, "Input"], Cell[CellGroupData[{ Cell[226137, 5038, 784, 20, 114, "Input"], Cell[226924, 5060, 604, 11, 194, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[227565, 5076, 523, 14, 46, "Input"], Cell[228091, 5092, 351, 8, 89, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[228479, 5105, 539, 14, 46, "Input"], Cell[229021, 5121, 486, 10, 157, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[229544, 5136, 539, 14, 46, "Input"], Cell[230086, 5152, 377, 8, 120, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[230500, 5165, 539, 14, 46, "Input"], Cell[231042, 5181, 377, 9, 93, "Output"] }, Open ]], Cell[231434, 5193, 135, 6, 99, "Text"], Cell[CellGroupData[{ Cell[231594, 5203, 1146, 26, 182, "Input"], Cell[232743, 5231, 748, 14, 207, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[233528, 5250, 369, 5, 154, "Subsubsection"], Cell[CellGroupData[{ Cell[233922, 5259, 200, 5, 113, "Input"], Cell[234125, 5266, 296, 5, 146, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[234470, 5277, 104, 4, 70, "Subsubsection"], Cell[234577, 5283, 45, 4, 70, "Text"], Cell[CellGroupData[{ Cell[234647, 5291, 1463, 36, 114, "Input"], Cell[236113, 5329, 54, 2, 61, "Output"] }, Open ]], Cell[236182, 5334, 46, 4, 70, "Text"], Cell[CellGroupData[{ Cell[236253, 5342, 1818, 43, 148, "Input"], Cell[238074, 5387, 54, 2, 61, "Output"] }, Open ]], Cell[238143, 5392, 46, 4, 70, "Text"], Cell[CellGroupData[{ Cell[238214, 5400, 1248, 31, 114, "Input"], Cell[239465, 5433, 54, 2, 61, "Output"] }, Open ]], Cell[239534, 5438, 114, 4, 70, "Text"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[239697, 5448, 63, 4, 62, "Subsection"], Cell[239763, 5454, 76, 4, 70, "Text"], Cell[CellGroupData[{ Cell[239864, 5462, 280, 8, 46, "Input"], Cell[240147, 5472, 882, 15, 262, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[241066, 5492, 288, 8, 46, "Input"], Cell[241357, 5502, 1008, 16, 343, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[242402, 5523, 288, 8, 46, "Input"], Cell[242693, 5533, 377, 8, 120, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[243107, 5546, 288, 8, 46, "Input"], Cell[243398, 5556, 377, 9, 93, "Output"] }, Open ]], Cell[243790, 5568, 361, 13, 128, "Text"], Cell[244154, 5583, 156, 4, 81, "Input"], Cell[CellGroupData[{ Cell[244335, 5591, 347, 9, 80, "Input"], Cell[244685, 5602, 1129, 21, 293, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[245851, 5628, 385, 9, 145, "Input"], Cell[246239, 5639, 1145, 19, 439, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[247421, 5663, 355, 9, 80, "Input"], Cell[247779, 5674, 303, 7, 84, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[248119, 5686, 393, 9, 145, "Input"], Cell[248515, 5697, 359, 9, 93, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[248911, 5711, 266, 8, 109, "Subsubsection"], Cell[249180, 5721, 699, 17, 148, "Input"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[249928, 5744, 188, 5, 90, "Subsection"], Cell[250119, 5751, 660, 19, 150, "Input"], Cell[250782, 5772, 312, 10, 128, "Text"], Cell[251097, 5784, 213, 5, 82, "Input"], Cell[251313, 5791, 288, 10, 128, "Text"], Cell[CellGroupData[{ Cell[251626, 5805, 1463, 34, 187, "Input"], Cell[253092, 5841, 2433, 50, 444, "Output"], Cell[255528, 5893, 2608, 55, 479, "Output"] }, Open ]], Cell[258151, 5951, 2064, 59, 363, "Text"], Cell[260218, 6012, 85, 2, 46, "Input"], Cell[260306, 6016, 3991, 91, 766, "Input"], Cell[264300, 6109, 47, 5, 99, "Text"], Cell[264350, 6116, 2257, 44, 960, "Input"], Cell[266610, 6162, 76, 5, 99, "Text"], Cell[266689, 6169, 99, 2, 46, "Input"], Cell[CellGroupData[{ Cell[266813, 6175, 64, 2, 46, "Input"], Cell[266880, 6179, 1591, 32, 306, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[268508, 6216, 64, 2, 46, "Input"], Cell[268575, 6220, 288, 5, 141, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[268900, 6230, 64, 2, 46, "Input"], Cell[268967, 6234, 1754, 37, 303, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[270758, 6276, 64, 2, 46, "Input"], Cell[270825, 6280, 227, 4, 97, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[271089, 6289, 64, 2, 46, "Input"], Cell[271156, 6293, 429, 8, 227, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[271622, 6306, 64, 2, 46, "Input"], Cell[271689, 6310, 1896, 39, 318, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[273622, 6354, 64, 2, 46, "Input"], Cell[273689, 6358, 362, 6, 141, "Output"] }, Open ]], Cell[274066, 6367, 85, 5, 99, "Text"], Cell[CellGroupData[{ Cell[274176, 6376, 176, 4, 47, "Input"], Cell[274355, 6382, 102, 2, 84, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[274494, 6389, 65, 2, 46, "Input"], Cell[274562, 6393, 1230, 28, 167, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[275829, 6426, 65, 2, 46, "Input"], Cell[275897, 6430, 54, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[275988, 6437, 65, 2, 46, "Input"], Cell[276056, 6441, 205, 4, 115, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[276298, 6450, 65, 2, 46, "Input"], Cell[276366, 6454, 54, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[276457, 6461, 65, 2, 46, "Input"], Cell[276525, 6465, 452, 8, 237, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[277014, 6478, 65, 2, 46, "Input"], Cell[277082, 6482, 1782, 38, 237, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[278901, 6525, 65, 2, 46, "Input"], Cell[278969, 6529, 54, 2, 61, "Output"] }, Open ]], Cell[279038, 6534, 51, 5, 99, "Text"], Cell[CellGroupData[{ Cell[279114, 6543, 312, 7, 150, "Input"], Cell[279429, 6552, 230, 5, 89, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[279696, 6562, 65, 2, 46, "Input"], Cell[279764, 6566, 1627, 36, 202, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[281428, 6607, 65, 2, 46, "Input"], Cell[281496, 6611, 54, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[281587, 6618, 65, 2, 46, "Input"], Cell[281655, 6622, 322, 5, 139, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[282014, 6632, 65, 2, 46, "Input"], Cell[282082, 6636, 6102, 117, 631, "Output"] }, Open ]], Cell[288199, 6756, 51, 5, 99, "Text"], Cell[288253, 6763, 97, 2, 88, "Input"], Cell[CellGroupData[{ Cell[288375, 6769, 65, 2, 46, "Input"], Cell[288443, 6773, 1554, 33, 176, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[290034, 6811, 65, 2, 46, "Input"], Cell[290102, 6815, 54, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[290193, 6822, 65, 2, 46, "Input"], Cell[290261, 6826, 2046, 42, 281, "Output"] }, Open ]], Cell[292322, 6871, 77, 5, 99, "Text"], Cell[292402, 6878, 1074, 25, 197, "Input"], Cell[293479, 6905, 1539, 33, 267, "Input"], Cell[CellGroupData[{ Cell[295043, 6942, 123, 4, 70, "Subsubsection"], Cell[295169, 6948, 140, 4, 77, "Input"], Cell[CellGroupData[{ Cell[295334, 6956, 67, 2, 46, "Input"], Cell[295404, 6960, 51, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[295492, 6967, 67, 2, 46, "Input"], Cell[295562, 6971, 51, 2, 61, "Output"] }, Open ]], Cell[295628, 6976, 79, 5, 99, "Text"], Cell[295710, 6983, 63, 2, 46, "Input"] }, Open ]], Cell[CellGroupData[{ Cell[295810, 6990, 62, 4, 70, "Subsubsection"], Cell[295875, 6996, 811, 18, 156, "Input"], Cell[296689, 7016, 1259, 27, 226, "Input"], Cell[297951, 7045, 227, 7, 99, "Text"], Cell[CellGroupData[{ Cell[298203, 7056, 161, 4, 81, "Input"], Cell[298367, 7062, 574, 11, 132, "Output"] }, Open ]], Cell[298956, 7076, 50, 5, 99, "Text"], Cell[CellGroupData[{ Cell[299031, 7085, 103, 2, 46, "Input"], Cell[299137, 7089, 519, 9, 132, "Output"] }, Open ]], Cell[299671, 7101, 80, 5, 99, "Text"], Cell[CellGroupData[{ Cell[299776, 7110, 139, 4, 46, "Input"], Cell[299918, 7116, 436, 7, 176, "Output"] }, Open ]], Cell[300369, 7126, 76, 5, 99, "Text"], Cell[300448, 7133, 471, 9, 249, "Input"], Cell[300922, 7144, 58, 5, 99, "Text"], Cell[300983, 7151, 99, 2, 76, "Input"], Cell[301085, 7155, 53, 5, 99, "Text"], Cell[CellGroupData[{ Cell[301163, 7164, 66, 2, 46, "Input"], Cell[301232, 7168, 54, 2, 61, "Output"] }, Open ]] }, Open ]], Cell[CellGroupData[{ Cell[301335, 7176, 354, 11, 130, "Subsubsection"], Cell[CellGroupData[{ Cell[301714, 7191, 82, 2, 46, "Input"], Cell[301799, 7195, 264, 5, 91, "Output"] }, Open ]], Cell[302078, 7203, 60, 5, 99, "Text"], Cell[CellGroupData[{ Cell[302163, 7212, 58, 2, 46, "Input"], Cell[302224, 7216, 2101, 41, 351, "Output"] }, Open ]], Cell[304340, 7260, 71, 5, 99, "Text"], Cell[304414, 7267, 792, 16, 334, "Input"], Cell[305209, 7285, 144, 6, 99, "Text"], Cell[CellGroupData[{ Cell[305378, 7295, 130, 3, 46, "Input"], Cell[305511, 7300, 177, 3, 87, "Output"] }, Open ]], Cell[305703, 7306, 49, 5, 99, "Text"], Cell[305755, 7313, 204, 5, 79, "Input"], Cell[305962, 7320, 90, 5, 99, "Text"], Cell[CellGroupData[{ Cell[306077, 7329, 67, 2, 46, "Input"], Cell[306147, 7333, 271, 5, 89, "Output"] }, Open ]], Cell[306433, 7341, 50, 5, 99, "Text"], Cell[306486, 7348, 234, 5, 79, "Input"], Cell[CellGroupData[{ Cell[306745, 7357, 67, 2, 46, "Input"], Cell[306815, 7361, 89, 2, 89, "Output"] }, Open ]], Cell[306919, 7366, 56, 5, 99, "Text"], Cell[306978, 7373, 95, 2, 47, "Input"], Cell[CellGroupData[{ Cell[307098, 7379, 67, 2, 46, "Input"], Cell[307168, 7383, 56, 2, 61, "Output"] }, Open ]] }, Open ]] }, Closed]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[307309, 7394, 99, 2, 53, "Subtitle"], Cell[CellGroupData[{ Cell[307433, 7400, 126, 5, 109, "Section 1"], Cell[CellGroupData[{ Cell[307584, 7409, 136, 5, 78, "Subsection"], Cell[CellGroupData[{ Cell[307745, 7418, 79, 4, 70, "Subsubsection"], Cell[307827, 7424, 175, 6, 70, "Text"], Cell[CellGroupData[{ Cell[308027, 7434, 62, 2, 46, "Input"], Cell[308092, 7438, 92, 2, 52, "Print"] }, Open ]], Cell[308199, 7443, 151, 6, 128, "Text"], Cell[308353, 7451, 65, 2, 46, "Input"], Cell[308421, 7455, 77, 5, 99, "Text"], Cell[CellGroupData[{ Cell[308523, 7464, 111, 3, 46, "Input"], Cell[308637, 7469, 339, 6, 161, "Output"] }, Open ]], Cell[308991, 7478, 132, 6, 99, "Text"], Cell[309126, 7486, 80, 2, 47, "Input"], Cell[309209, 7490, 113, 5, 99, "Text"], Cell[CellGroupData[{ Cell[309347, 7499, 121, 3, 46, "Input"], Cell[309471, 7504, 331, 10, 147, "Output"] }, Open ]], Cell[309817, 7517, 161, 6, 128, "Text"], Cell[309981, 7525, 74, 2, 46, "Input"], Cell[310058, 7529, 551, 14, 148, "Input"], Cell[310612, 7545, 959, 31, 115, "Text"], Cell[CellGroupData[{ Cell[311596, 7580, 293, 6, 214, "Input"], Cell[311892, 7588, 7312, 197, 175, "Output"] }, Open ]], Cell[319219, 7788, 240, 7, 99, "Text"], Cell[CellGroupData[{ Cell[319484, 7799, 139, 4, 46, "Input"], Cell[319626, 7805, 796, 18, 127, "Output"] }, Open ]], Cell[320437, 7826, 82, 5, 99, "Text"], Cell[320522, 7833, 87, 2, 46, "Input"], Cell[320612, 7837, 229, 5, 148, "Input"], Cell[320844, 7844, 229, 5, 148, "Input"], Cell[321076, 7851, 297, 6, 148, "Input"], Cell[321376, 7859, 311, 7, 148, "Input"], Cell[321690, 7868, 83, 5, 99, "Text"], Cell[321776, 7875, 67, 2, 46, "Input"], Cell[321846, 7879, 131, 6, 128, "Text"], Cell[321980, 7887, 79, 2, 46, "Input"], Cell[322062, 7891, 265, 8, 99, "Text"], Cell[322330, 7901, 187, 5, 148, "Input"], Cell[322520, 7908, 46, 5, 99, "Text"], Cell[CellGroupData[{ Cell[322591, 7917, 105, 2, 46, "Input"], Cell[322699, 7921, 106, 2, 61, "Output"] }, Open ]], Cell[322820, 7926, 46, 5, 99, "Text"], Cell[322869, 7933, 187, 5, 148, "Input"], Cell[CellGroupData[{ Cell[323081, 7942, 105, 2, 46, "Input"], Cell[323189, 7946, 106, 2, 61, "Output"] }, Open ]], Cell[323310, 7951, 46, 5, 99, "Text"], Cell[323359, 7958, 189, 5, 148, "Input"], Cell[CellGroupData[{ Cell[323573, 7967, 105, 2, 46, "Input"], Cell[323681, 7971, 106, 2, 61, "Output"] }, Open ]], Cell[323802, 7976, 46, 5, 99, "Text"], Cell[323851, 7983, 189, 5, 148, "Input"], Cell[CellGroupData[{ Cell[324065, 7992, 105, 2, 46, "Input"], Cell[324173, 7996, 106, 2, 61, "Output"] }, Open ]], Cell[324294, 8001, 2167, 69, 158, "Text"], Cell[CellGroupData[{ Cell[326486, 8074, 124, 3, 80, "Input"], Cell[326613, 8079, 151, 3, 86, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[326801, 8087, 124, 3, 80, "Input"], Cell[326928, 8092, 139, 3, 93, "Output"] }, Open ]], Cell[327082, 8098, 126, 6, 99, "Text"], Cell[327211, 8106, 275, 7, 154, "Input"], Cell[327489, 8115, 46, 5, 99, "Text"], Cell[CellGroupData[{ Cell[327560, 8124, 123, 3, 46, "Input"], Cell[327686, 8129, 404, 10, 96, "Output"] }, Open ]], Cell[328105, 8142, 86, 5, 99, "Text"], Cell[CellGroupData[{ Cell[328216, 8151, 412, 11, 46, "Input"], Cell[328631, 8164, 172, 3, 90, "Output"] }, Open ]], Cell[328818, 8170, 46, 5, 99, "Text"], Cell[CellGroupData[{ Cell[328889, 8179, 123, 3, 46, "Input"], Cell[329015, 8184, 473, 12, 96, "Output"] }, Open ]], Cell[329503, 8199, 76, 5, 99, "Text"], Cell[CellGroupData[{ Cell[329604, 8208, 412, 11, 46, "Input"], Cell[330019, 8221, 171, 3, 88, "Output"] }, Open ]], Cell[330205, 8227, 82, 5, 99, "Text"], Cell[CellGroupData[{ Cell[330312, 8236, 148, 3, 46, "Input"], Cell[330463, 8241, 184, 3, 88, "Output"] }, Open ]], Cell[330662, 8247, 96, 5, 99, "Text"], Cell[330761, 8254, 185, 5, 80, "Input"], Cell[330949, 8261, 131, 6, 99, "Text"], Cell[CellGroupData[{ Cell[331105, 8271, 73, 2, 46, "Input"], Cell[331181, 8275, 142, 4, 86, "Output"] }, Open ]] }, Closed]], Cell[CellGroupData[{ Cell[331372, 8285, 80, 4, 64, "Subsubsection"], Cell[331455, 8291, 79, 4, 70, "Text"], Cell[331537, 8297, 4490, 102, 573, "Input"], Cell[336030, 8401, 98, 5, 99, "Text"], Cell[CellGroupData[{ Cell[336153, 8410, 74, 2, 46, "Input"], Cell[336230, 8414, 54, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[336321, 8421, 68, 2, 46, "Input"], Cell[336392, 8425, 54, 2, 61, "Output"] }, Open ]], Cell[336461, 8430, 66, 5, 99, "Text"], Cell[CellGroupData[{ Cell[336552, 8439, 72, 2, 46, "Input"], Cell[336627, 8443, 746, 17, 93, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[337410, 8465, 72, 2, 46, "Input"], Cell[337485, 8469, 1243, 28, 201, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[338765, 8502, 72, 2, 46, "Input"], Cell[338840, 8506, 886, 20, 162, "Output"] }, Open ]], Cell[339741, 8529, 155, 6, 128, "Text"], Cell[339899, 8537, 135, 4, 76, "Input"], Cell[340037, 8543, 82, 5, 99, "Text"], Cell[CellGroupData[{ Cell[340144, 8552, 167, 4, 46, "Input"], Cell[340314, 8558, 54, 2, 61, "Output"] }, Open ]], Cell[340383, 8563, 313, 8, 128, "Text"], Cell[340699, 8573, 124, 3, 46, "Input"], Cell[340826, 8578, 56, 5, 99, "Text"], Cell[CellGroupData[{ Cell[340907, 8587, 181, 5, 46, "Input"], Cell[341091, 8594, 1407, 30, 236, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[342535, 8629, 181, 5, 46, "Input"], Cell[342719, 8636, 1112, 24, 202, "Output"] }, Open ]], Cell[343846, 8663, 64, 5, 99, "Text"], Cell[343913, 8670, 946, 22, 190, "Input"], Cell[344862, 8694, 441, 11, 83, "Input"], Cell[345306, 8707, 102, 4, 70, "Text"], Cell[CellGroupData[{ Cell[345433, 8715, 345, 6, 216, "Input"], Cell[345781, 8723, 51, 2, 61, "Output"], Cell[345835, 8727, 51, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[345923, 8734, 627, 13, 385, "Input"], Cell[346553, 8749, 51, 2, 61, "Output"], Cell[346607, 8753, 51, 2, 61, "Output"] }, Open ]], Cell[346673, 8758, 194, 6, 128, "Text"], Cell[CellGroupData[{ Cell[346892, 8768, 659, 17, 118, "Input"], Cell[347554, 8787, 51, 2, 61, "Output"] }, Open ]], Cell[347620, 8792, 202, 7, 128, "Text"], Cell[347825, 8801, 421, 10, 85, "Text"] }, Closed]], Cell[CellGroupData[{ Cell[348283, 8816, 118, 4, 64, "Subsubsection"], Cell[348404, 8822, 1150, 29, 373, "Input"], Cell[349557, 8853, 160, 6, 128, "Text"], Cell[CellGroupData[{ Cell[349742, 8863, 362, 9, 46, "Input"], Cell[350107, 8874, 136, 3, 90, "Output"] }, Open ]], Cell[350258, 8880, 111, 5, 99, "Text"], Cell[350372, 8887, 68, 2, 46, "Input"], Cell[350443, 8891, 92, 5, 99, "Text"], Cell[350538, 8898, 578, 16, 149, "Input"], Cell[351119, 8916, 107, 5, 99, "Text"], Cell[CellGroupData[{ Cell[351251, 8925, 122, 4, 46, "Input"], Cell[351376, 8931, 988, 23, 153, "Output"] }, Open ]], Cell[352379, 8957, 181, 6, 99, "Text"], Cell[CellGroupData[{ Cell[352585, 8967, 159, 5, 47, "Input"], Cell[352747, 8974, 416, 10, 88, "Output"] }, Open ]], Cell[353178, 8987, 90, 3, 41, "Text"], Cell[CellGroupData[{ Cell[353293, 8994, 282, 8, 46, "Input"], Cell[353578, 9004, 782, 19, 119, "Output"] }, Open ]], Cell[354375, 9026, 125, 6, 99, "Text"], Cell[CellGroupData[{ Cell[354525, 9036, 78, 2, 46, "Input"], Cell[354606, 9040, 177, 3, 107, "Output"] }, Open ]], Cell[354798, 9046, 455, 11, 116, "Text"], Cell[355256, 9059, 132, 4, 41, "Text"], Cell[355391, 9065, 110, 3, 41, "Text"], Cell[355504, 9070, 76, 4, 70, "Text"], Cell[355583, 9076, 1364, 34, 357, "Input"], Cell[356950, 9112, 85, 5, 99, "Text"], Cell[357038, 9119, 84, 2, 46, "Input"], Cell[357125, 9123, 84, 2, 46, "Input"], Cell[357212, 9127, 66, 5, 99, "Text"], Cell[CellGroupData[{ Cell[357303, 9136, 121, 3, 46, "Input"], Cell[357427, 9141, 1097, 22, 445, "Output"] }, Open ]], Cell[358539, 9166, 241, 6, 99, "Text"] }, Closed]], Cell[CellGroupData[{ Cell[358817, 9177, 62, 4, 64, "Subsubsection"], Cell[358882, 9183, 52, 4, 70, "Text"], Cell[358937, 9189, 723, 18, 207, "Input"], Cell[359663, 9209, 264, 8, 101, "Text"], Cell[359930, 9219, 260, 6, 148, "Input"], Cell[CellGroupData[{ Cell[360215, 9229, 58, 2, 46, "Input"], Cell[360276, 9233, 115, 3, 101, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[360428, 9241, 58, 2, 46, "Input"], Cell[360489, 9245, 51, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[360577, 9252, 63, 2, 46, "Input"], Cell[360643, 9256, 111, 3, 101, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[360791, 9264, 63, 2, 46, "Input"], Cell[360857, 9268, 111, 3, 101, "Output"] }, Open ]], Cell[360983, 9274, 53, 5, 99, "Text"], Cell[361039, 9281, 1083, 23, 637, "Input"], Cell[362125, 9306, 149, 6, 101, "Text"], Cell[CellGroupData[{ Cell[362299, 9316, 147, 4, 76, "Input"], Cell[362449, 9322, 408, 7, 181, "Output"] }, Open ]], Cell[362872, 9332, 202, 6, 101, "Text"], Cell[363077, 9340, 274, 7, 148, "Input"], Cell[CellGroupData[{ Cell[363376, 9351, 58, 2, 46, "Input"], Cell[363437, 9355, 198, 4, 101, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[363672, 9364, 58, 2, 46, "Input"], Cell[363733, 9368, 51, 2, 61, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[363821, 9375, 63, 2, 46, "Input"], Cell[363887, 9379, 190, 4, 101, "Output"] }, Open ]], Cell[CellGroupData[{ Cell[364114, 9388, 63, 2, 46, "Input"], Cell[364180, 9392, 190, 4, 101, "Output"] }, Open ]] }, Closed]] }, Closed]], Cell[CellGroupData[{ Cell[364431, 9403, 70, 4, 62, "Subsection"], Cell[CellGroupData[{ Cell[364526, 9411, 61, 4, 70, "Subsubsection"], Cell[364590, 9417, 75, 4, 70, "Text"], Cell[364668, 9423, 172, 3, 80, "Input"], Cell[364843, 9428, 191, 6, 128, "Text"], Cell[365037, 9436, 505, 8, 175, "Input"], Cell[365545, 9446, 250, 5, 99, "Input"], Cell[365798, 9453, 239, 7, 128, "Text"], Cell[366040, 9462, 107, 2, 46, "Input"], Cell[366150, 9466, 362, 11, 157, "Text"], Cell[366515, 9479, 181, 4, 114, "Input"], Cell[366699, 9485, 1235, 41, 245, "Text"], Cell[367937, 9528, 2589, 52, 723, "Input"] }, Closed]], Cell[CellGroupData[{ Cell[370563, 9585, 72, 4, 64, "Subsubsection"], Cell[370638, 9591, 266, 7, 99, "Text"], Cell[370907, 9600, 79, 2, 46, "Input"], Cell[370989, 9604, 98, 5, 99, "Text"], Cell[371090, 9611, 386, 8, 245, "Input"], Cell[371479, 9621, 104, 2, 46, "Input"], Cell[CellGroupData[{ Cell[371608, 9627, 1492, 30, 656, "Input"], Cell[373103, 9659, 83535, 1810, 432, 20709, 1029, "GraphicsData", \ "PostScript", "Graphics"] }, Open ]], Cell[456653, 11472, 50, 5, 99, "Text"], Cell[456706, 11479, 129235, 2765, 434, 29756, 1531, "GraphicsData", \ "PostScript", "Graphics"], Cell[585944, 14246, 50, 5, 99, "Text"], Cell[585997, 14253, 86969, 1962, 435, 25006, 1192, "GraphicsData", \ "PostScript", "Graphics"] }, Closed]], Cell[CellGroupData[{ Cell[673003, 16220, 82, 4, 64, "Subsubsection"], Cell[673088, 16226, 49, 4, 70, "Text"], Cell[673140, 16232, 75113, 1732, 435, 21481, 1065, "GraphicsData", \ "PostScript", "Graphics"], Cell[748256, 17966, 50, 5, 99, "Text"], Cell[748309, 17973, 70318, 1612, 435, 19448, 979, "GraphicsData", \ "PostScript", "Graphics"], Cell[818630, 19587, 50, 5, 99, "Text"], Cell[818683, 19594, 88414, 1980, 435, 24993, 1192, "GraphicsData", \ "PostScript", "Graphics"] }, Closed]], Cell[CellGroupData[{ Cell[907134, 21579, 68, 4, 64, "Subsubsection"], Cell[907205, 21585, 349, 8, 128, "Text"], Cell[907557, 21595, 136337, 2820, 461, 24034, 1429, "GraphicsData", \ "PostScript", "Graphics"] }, Closed]] }, Closed]] }, Closed]] }, Closed]] }, Open ]] } ] *) (******************************************************************* End of Mathematica Notebook file. *******************************************************************)