diff --git a/Astroschool_lect_2022/01-telescopes/lect.sty b/Astroschool_lect_2022/01-telescopes/lect.sty new file mode 100644 index 0000000..9a9f1a8 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/lect.sty @@ -0,0 +1,137 @@ +\usepackage[T2A]{fontenc} %поддержка кириллицы +\usepackage[koi8-r]{inputenc} +\usepackage[english,russian]{babel} +\usepackage{xspace} +\usepackage{array} +%\usepackage[intlimits]{amsmath} + +\renewcommand{\arraystretch}{1.2} +\def\No{\textnumero} + +\graphicspath{{./pic/}} +\usetheme{Boadilla} +\usefonttheme{structurebold} +\usefonttheme[onlymath]{serif} +\setbeamercovered{transparent} + +\newenvironment{pict}% + {\begin{figure}[!h]\begin{center}\noindent}% + {\end{center}\end{figure}} + +\setbeamercolor{color1}{bg=blue!50!black,fg=white} +\setbeamercolor{normal text}{bg=blue!20!black,fg=cyan!70!white} +\setbeamercolor{frametitle}{fg=red,bg=blue!40!black} +\setbeamercolor{title}{fg=red,bg=blue!40!black} +\setbeamercolor{block title}{fg=cyan,bg=blue!40!black} +\newenvironment{defin}{\begin{beamercolorbox}[shadow=true, rounded=true]{color1}}% +{\end{beamercolorbox}} +\newcommand{\graph}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\newcommand{\img}[2][]{\begin{pict}\includegraphics[width=#1\columnwidth]{#2}\end{pict}} +\newcommand{\smimg}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\logo{\includegraphics[height=1cm,keepaspectratio]{traektory_AFSH}\hspace{2em}% + \includegraphics[height=1cm,keepaspectratio]{saologo.pdf}} + +\def\daterussian{ % fix for iюня and iюля + \def\today{\number\day~\ifcase\month\or + \cyrya\cyrn\cyrv\cyra\cyrr\cyrya\or + \cyrf\cyre\cyrv\cyrr\cyra\cyrl\cyrya\or + \cyrm\cyra\cyrr\cyrt\cyra\or + \cyra\cyrp\cyrr\cyre\cyrl\cyrya\or + \cyrm\cyra\cyrya\or + \cyri\cyryu\cyrn\cyrya\or + \cyri\cyryu\cyrl\cyrya\or + \cyra\cyrv\cyrg\cyru\cyrs\cyrt\cyra\or + \cyrs\cyre\cyrn\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyro\cyrk\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyrn\cyro\cyrya\cyrb\cyrr\cyrya\or + \cyrd\cyre\cyrk\cyra\cyrb\cyrr\cyrya\fi + \space \number\year~\cyrg.}} + +\author[Емельянов Э.В.]{Емельянов Эдуард Владимирович} +\institute[САО РАН]{Специальная астрофизическая обсерватория РАН\\ + {\tiny Лаборатория физики оптических транзиентов}\\ +} + +\def\ж{\bf} +\def\т{\tt} +\def\н{\normalfont} +\def\к{\it} +\def\t#1{\texttt{#1}} +\def\bi{\bfseries\itshape} % Жирный курсив +\def\red#1{\textcolor{red}{#1}} +\def\green#1{\textcolor{green}{#1}} +\def\blue#1{\textcolor{blue}{#1}} +\def\black#1{\textcolor{black}{#1}} + + +\newenvironment{lightframe}{\bgroup\setbeamercolor{normal text}% +{bg=blue}\begin{frame}}{\end{frame}\egroup} +\newenvironment{blueframe}{\bgroup\setbeamercolor{normal text}% +{bg=cyan!70!white}\begin{frame}}{\end{frame}\egroup} + +\newsavebox{\hght} % for ddotvec +\newlength{\lngth} + +\def\arr{\ensuremath{\,\rightarrow\,}} % Стрелка вправо +\def\Arr{\ensuremath{\,\Rightarrow\,}} % жирная -//- +\def\aver#1{\bgroup\mathopen{<}#1\mathclose{>}\egroup} +\def\Ang{\mbox{\rm\AA}} % Ангстрем +\def\B#1{\ensuremath{\mathbf{#1}}} +\def\ceil#1{\bgroup\lceil #1\rceil\egroup} +\def\const{\ensuremath{\mathfrak{const}}} +\def\C{\ensuremath{\mathfrak{C}}} +\def\degr{\ensuremath{^\circ}} % Градус +\def\ddotvec#1{ % вторая производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\ddot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dotvec#1{ % Производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\dot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dpartder#1#2{\dfrac{\partial^2 #1}{\partial #2^2}} % вторая частная производная +\def\e{\mathop{\mathrm e}\nolimits} +\renewcommand{\epsilon}{\varepsilon} % Красивый эпсилон +\def\frc#1#2{\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}} % a/b, a выше, b ниже +\def\floor#1{\bgroup\lfloor #1\rfloor\egroup} +\def\frc#1#2{\bgroup\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}\egroup} +\def\F{\ensuremath{\mathop{\mathfrak F}}\nolimits} % Красивая Ф +\def\FT#1{\mathcal{F}\left(#1\right)} +\def\FWHM{\mathrm{FWHM}} +\renewcommand{\ge}{\geqslant} +\def\grad{\mathop{\mathrm{grad}}\nolimits} % Градиент +\def\ind#1{_{\text{\scriptsize #1}}} % Нижний индекс русс. буквами +\def\indfrac#1#2{\raisebox{2pt}{$\frac{\mbox{\small $#1$}}{\mbox{\small $#2$}}$}} +\def\I{\ensuremath{\mathfrak{I}}} % Интеграл +\def\IFT#1{\mathcal{F}^{-1}\left(#1\right)} % Обратное ФП +\def\IInt{\mathop{{\int\!\!\!\int}}\limits} % Двойной большой интеграл +\def\ILT#1{\mathop{\mathfrak{L}}\nolimits^{-1}\left(#1\right)} % Обратное преобр. Лапласа +\def\Int{\int\limits} +\def\Infint{\int\limits_{-\infty}^\infty} +\def\IZT#1{\mathop{\mathcal{Z}}\nolimits^{-1}\left(#1\right)} % Обратное Z-преобразование +\renewcommand{\kappa}{\varkappa} % Красивая каппа +\renewcommand{\le}{\leqslant} % Меньше или равно +\def\ltextarrow#1{\ensuremath{\stackrel{#1}\leftarrow}} % Стрелка влево с подписью сверху +\def\lvec{\overrightarrow} % Длинный вектор +\def\LT#1{\mathop{\mathfrak{L}}\nolimits\left(#1\right)} % Преобразование Лапласа +\def\mean#1{\overline{#1}} +\def\med{\mathop{\mathrm{med}}\nolimits} +\def\moda{\mathop{\mathrm{Mo}}\nolimits} +\def\Oint{\oint\limits} % Большой интеграл +\def\partder#1#2{\dfrac{\partial #1}{\partial #2}} +\renewcommand{\phi}{\varphi} % Красивая фи +\def\rev#1{\frac{1}{#1}} % Обратная величина +\def\rot{\mathop{\mathrm{rot}}\nolimits} % Ротор +\def\rtextarrow#1{\ensuremath{\stackrel{#1}\rightarrow}} % Стрелка вправо с подписью +\def\R{\ensuremath{\mathbb{R}}} % рациональные числа +\def\so{\ensuremath{\Longrightarrow}\xspace} % следовательно +\def\sinc{\mathop{\mathrm{sinc}}\nolimits} % Интегральный синус +\def\SNR{\mathop{\mathrm{SNR}}\nolimits} +\def\Sum{\sum\limits} +\def\Tr{\mathop{\mathrm{Tr}}\nolimits} % След матрицы +\def\veci{{\vec\imath}} % i-орт +\def\vecj{{\vec\jmath}} % j-орт +\def\veck{{\vec{k}}} % k-орт +\def\when#1{\ensuremath{\Bigr|_{#1}}} % Верт. линия с нижним индексом +\def\WT#1{\ensuremath{\mathop{\mathrm{WT}\left(#1\strut\right)}}} % вейвлет-преобразование +\def\ZT#1{\mathop{\mathcal{Z}}\nolimits\left(#1\right)} % Z-преобразование + + +\long\def\cols#1{\begin{columns}#1\end{columns}} +\def\col#1{\column{#1\textwidth}} diff --git a/Astroschool_lect_2022/01-telescopes/pic/1-m.jpg b/Astroschool_lect_2022/01-telescopes/pic/1-m.jpg new file mode 100644 index 0000000..d6f9e60 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/1-m.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/100_inch_Hooker_Telescope.jpg b/Astroschool_lect_2022/01-telescopes/pic/100_inch_Hooker_Telescope.jpg new file mode 100644 index 0000000..7eb22f0 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/100_inch_Hooker_Telescope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/AAS-TMT-calendar-800.jpg b/Astroschool_lect_2022/01-telescopes/pic/AAS-TMT-calendar-800.jpg new file mode 100644 index 0000000..1921a1c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/AAS-TMT-calendar-800.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.pdf b/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.pdf new file mode 100644 index 0000000..7f3de74 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.svg b/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.svg new file mode 100644 index 0000000..f77a739 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Abbe-diagramm.svg @@ -0,0 +1,1261 @@ + + + + Abbe-diagramm + + + + + + + + + + + + + + + + + + image/svg+xml + + Abbe-diagramm + + Franц╖ais + 2010-05-08 + An Abbe diagram plots the Abbe number against refractive index for a range of different glasses (red dots). Glasses are classified using a letter-number code to reflect their composition and position on the diagram. Data plotted from the Schott Glass catalogue. + http://commons.wikimedia.org/wiki/Image:Abbe-diagram 2.svg + + + Eric Bajart + + + + + Abbe diagramme verre indice rц╘fraction dispersion chromatique + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 90 + 80 + 70 + 60 + 50 + 40 + 30 + 20 + Nombre d'Abbe V + 1,5 + 1,8 + 1,7 + 1,6 + 1,9 + Indice de rц╘fraction n ( = 587,6 nm) + d + + + FKPKPSKBKBaKSKKLaKSSKBaLFKFLaSFLaFBaFBaSFLLFLFFSFZKKzSF + fluorine + crownphosphate + crownphosphate dense + crownborosilicate + crownbaryum + crowncrown densecrownlanthane + crowncrown trц╗s densebaryum lц╘ger + flintcrown/flintlanthane dense + flintlanthane + flintbaryum + flintbaryum dense + flintflint trц╗s lц╘gerflint lц╘gerflintflint densezinc + crownspecial short flint + + LaK + LaF + LaSF + SF + BaF + BaSF + SSK + BaLF + BaK + KF + LLF + PSK + LF + F + SK + PK + FK + BK + K + + + 51 + 52A + 51A + 5 + 53 + 10 + 7 + 7 + 5 + 5 + 5 + 7 + 1 + 1 + 3 + 3 + 4 + 4 + 2 + 4 + 3 + 5 + 11 + 2 + 2 + 8 + 8 + 9 + 9 + 12 + 10 + 10 + 15 + 16 + 14 + ZK7 + 53 + 10 + 14 + 10 + 21 + 22 + 4 + KzFS2 + 2 + 52 + KzFS4 + 34 + 10 + 4 + 7 + KzFS11 + KzFSN5 + 33A + 34 + 51 + KzFS12 + 15 + 1 + 14 + 11 + 56 + 9 + 35 + 32 + 64 + 64 + 57 + 57 + 33 + 36 + 43 + 47 + 45 + 6 + 40 + 41 + 44 + 5 + 5 + 2 + 2 + 2 + 8 + 5 + 21 + 31 + 19 + 31A + 46 + 46A + 66 + 4 + + CROWN + FLINT + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Adaptive_optics_system_full.pdf b/Astroschool_lect_2022/01-telescopes/pic/Adaptive_optics_system_full.pdf new file mode 100644 index 0000000..591b164 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Adaptive_optics_system_full.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.pdf b/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.pdf new file mode 100644 index 0000000..35acafa --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.pdf @@ -0,0 +1,819 @@ +%PDF-1.4 +%╣М╝Ш +3 0 obj +<< /Length 4 0 R + /Filter /FlateDecode +>> +stream +x°┘▒мK1еОЫ+чQ;мДc⌠\ "┌у─ЯP╤_╨╦╩Ъ}╖м╙╜%└ ▐≈Ы╫L:у)6"┐] ю6R у╠┬Щоh∙╕Ю║eUcе>'Ц╣GЁS⌠╧фzюdьx 5?╩╓ ~·▐╥(чрЯ]iэич╙≈WЯh,■ц=:p│Я/р7Q0Ж+МIь'лT┤иц|©_Ж- УVchзoНиЧ╒в├╛■o> + >> + /Pattern << /p6 6 0 R >> + /Shading << /sh5 5 0 R >> + /Font << + /f-0-0 7 0 R + >> +>> +endobj +8 0 obj +<< /Type /Page + /Parent 1 0 R + /MediaBox [ 0 0 212.25 157.192505 ] + /Contents 3 0 R + /Group << + /Type /Group + /S /Transparency + /I true + /CS /DeviceRGB + >> + /Resources 2 0 R +>> +endobj +9 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 1 1 1 ] + /C1 [ 0.984314 0.984314 0.984314 ] + /N 1 +>> +endobj +10 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.984314 0.984314 0.984314 ] + /C1 [ 0.941176 0.941176 0.941176 ] + /N 1 +>> +endobj +11 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.941176 0.941176 0.941176 ] + /C1 [ 0.87451 0.87451 0.87451 ] + /N 1 +>> +endobj +12 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.87451 0.87451 0.87451 ] + /C1 [ 0.780392 0.780392 0.780392 ] + /N 1 +>> +endobj +13 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.780392 0.780392 0.780392 ] + /C1 [ 0.670588 0.670588 0.670588 ] + /N 1 +>> +endobj +14 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.670588 0.670588 0.670588 ] + /C1 [ 0.545098 0.545098 0.545098 ] + /N 1 +>> +endobj +15 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.545098 0.545098 0.545098 ] + /C1 [ 0.415686 0.415686 0.415686 ] + /N 1 +>> +endobj +16 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.415686 0.415686 0.415686 ] + /C1 [ 0.282353 0.282353 0.282353 ] + /N 1 +>> +endobj +17 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.282353 0.282353 0.282353 ] + /C1 [ 0.14902 0.14902 0.14902 ] + /N 1 +>> +endobj +18 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.14902 0.14902 0.14902 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +19 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0 0 0 ] + /C1 [ 0.101961 0.101961 0.101961 ] + /N 1 +>> +endobj +20 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.101961 0.101961 0.101961 ] + /C1 [ 0.156863 0.156863 0.156863 ] + /N 1 +>> +endobj +21 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.156863 0.156863 0.156863 ] + /C1 [ 0.188235 0.188235 0.188235 ] + /N 1 +>> +endobj +22 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.188235 0.188235 0.188235 ] + /C1 [ 0.2 0.2 0.2 ] + /N 1 +>> +endobj +23 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.2 0.2 0.2 ] + /C1 [ 0.192157 0.192157 0.192157 ] + /N 1 +>> +endobj +24 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.192157 0.192157 0.192157 ] + /C1 [ 0.172549 0.172549 0.172549 ] + /N 1 +>> +endobj +25 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.172549 0.172549 0.172549 ] + /C1 [ 0.141176 0.141176 0.141176 ] + /N 1 +>> +endobj +26 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.141176 0.141176 0.141176 ] + /C1 [ 0.101961 0.101961 0.101961 ] + /N 1 +>> +endobj +27 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.101961 0.101961 0.101961 ] + /C1 [ 0.0588235 0.0588235 0.0588235 ] + /N 1 +>> +endobj +28 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0588235 0.0588235 0.0588235 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +29 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0 0 0 ] + /C1 [ 0.0509804 0.0509804 0.0509804 ] + /N 1 +>> +endobj +30 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0509804 0.0509804 0.0509804 ] + /C1 [ 0.0823529 0.0823529 0.0823529 ] + /N 1 +>> +endobj +31 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0823529 0.0823529 0.0823529 ] + /C1 [ 0.101961 0.101961 0.101961 ] + /N 1 +>> +endobj +32 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.101961 0.101961 0.101961 ] + /C1 [ 0.109804 0.109804 0.109804 ] + /N 1 +>> +endobj +33 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.109804 0.109804 0.109804 ] + /C1 [ 0.109804 0.109804 0.109804 ] + /N 1 +>> +endobj +34 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.109804 0.109804 0.109804 ] + /C1 [ 0.101961 0.101961 0.101961 ] + /N 1 +>> +endobj +35 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.101961 0.101961 0.101961 ] + /C1 [ 0.0862745 0.0862745 0.0862745 ] + /N 1 +>> +endobj +36 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0862745 0.0862745 0.0862745 ] + /C1 [ 0.0627451 0.0627451 0.0627451 ] + /N 1 +>> +endobj +37 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0627451 0.0627451 0.0627451 ] + /C1 [ 0.0352941 0.0352941 0.0352941 ] + /N 1 +>> +endobj +38 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0352941 0.0352941 0.0352941 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +39 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0 0 0 ] + /C1 [ 0.0352941 0.0352941 0.0352941 ] + /N 1 +>> +endobj +40 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0352941 0.0352941 0.0352941 ] + /C1 [ 0.054902 0.054902 0.054902 ] + /N 1 +>> +endobj +41 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.054902 0.054902 0.054902 ] + /C1 [ 0.0666667 0.0666667 0.0666667 ] + /N 1 +>> +endobj +42 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0666667 0.0666667 0.0666667 ] + /C1 [ 0.0745098 0.0745098 0.0745098 ] + /N 1 +>> +endobj +43 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0745098 0.0745098 0.0745098 ] + /C1 [ 0.0745098 0.0745098 0.0745098 ] + /N 1 +>> +endobj +44 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0745098 0.0745098 0.0745098 ] + /C1 [ 0.0705882 0.0705882 0.0705882 ] + /N 1 +>> +endobj +45 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0705882 0.0705882 0.0705882 ] + /C1 [ 0.0588235 0.0588235 0.0588235 ] + /N 1 +>> +endobj +46 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0588235 0.0588235 0.0588235 ] + /C1 [ 0.0431373 0.0431373 0.0431373 ] + /N 1 +>> +endobj +47 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0431373 0.0431373 0.0431373 ] + /C1 [ 0.027451 0.027451 0.027451 ] + /N 1 +>> +endobj +48 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.027451 0.027451 0.027451 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +49 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0 0 0 ] + /C1 [ 0.0235294 0.0235294 0.0235294 ] + /N 1 +>> +endobj +50 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0235294 0.0235294 0.0235294 ] + /C1 [ 0.0392157 0.0392157 0.0392157 ] + /N 1 +>> +endobj +51 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0392157 0.0392157 0.0392157 ] + /C1 [ 0.0509804 0.0509804 0.0509804 ] + /N 1 +>> +endobj +52 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0509804 0.0509804 0.0509804 ] + /C1 [ 0.054902 0.054902 0.054902 ] + /N 1 +>> +endobj +53 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.054902 0.054902 0.054902 ] + /C1 [ 0.0588235 0.0588235 0.0588235 ] + /N 1 +>> +endobj +54 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0588235 0.0588235 0.0588235 ] + /C1 [ 0.054902 0.054902 0.054902 ] + /N 1 +>> +endobj +55 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.054902 0.054902 0.054902 ] + /C1 [ 0.0470588 0.0470588 0.0470588 ] + /N 1 +>> +endobj +56 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0470588 0.0470588 0.0470588 ] + /C1 [ 0.0352941 0.0352941 0.0352941 ] + /N 1 +>> +endobj +57 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0352941 0.0352941 0.0352941 ] + /C1 [ 0.0196078 0.0196078 0.0196078 ] + /N 1 +>> +endobj +58 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0196078 0.0196078 0.0196078 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +59 0 obj +<< /FunctionType 3 + /Domain [ 0 1 ] + /Functions [ 9 0 R 10 0 R 11 0 R 12 0 R 13 0 R 14 0 R 15 0 R 16 0 R 17 0 R 18 0 R 19 0 R 20 0 R 21 0 R 22 0 R 23 0 R 24 0 R 25 0 R 26 0 R 27 0 R 28 0 R 29 0 R 30 0 R 31 0 R 32 0 R 33 0 R 34 0 R 35 0 R 36 0 R 37 0 R 38 0 R 39 0 R 40 0 R 41 0 R 42 0 R 43 0 R 44 0 R 45 0 R 46 0 R 47 0 R 48 0 R 49 0 R 50 0 R 51 0 R 52 0 R 53 0 R 54 0 R 55 0 R 56 0 R 57 0 R 58 0 R ] + /Bounds [ 0.023264 0.046528 0.069792 0.093055 0.116319 0.139583 0.162847 0.186111 0.209375 0.232639 0.251969 0.2713 0.290631 0.309961 0.329292 0.348623 0.367953 0.387284 0.406615 0.425945 0.445118 0.464291 0.483464 0.502636 0.521809 0.540982 0.560155 0.579328 0.5985 0.617673 0.6368 0.655926 0.675052 0.694179 0.713305 0.732431 0.751557 0.770684 0.78981 0.808936 0.828043 0.847149 0.866255 0.885362 0.904468 0.923575 0.942681 0.961787 0.980894 ] + /Encode [ 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 ] +>> +endobj +5 0 obj + << /ShadingType 3 + /ColorSpace /DeviceRGB + /Coords [ 109.626503 105.552498 0 109.626503 105.552498 130.491394 ] + /Domain [ 0 1 ] + /Extend [ true true ] + /Function 59 0 R + >> +endobj +60 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 1 1 1 ] + /C1 [ 0.960784 0.960784 0.960784 ] + /N 1 +>> +endobj +61 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.960784 0.960784 0.960784 ] + /C1 [ 0.917647 0.917647 0.917647 ] + /N 1 +>> +endobj +62 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.917647 0.917647 0.917647 ] + /C1 [ 0.878431 0.878431 0.878431 ] + /N 1 +>> +endobj +63 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.878431 0.878431 0.878431 ] + /C1 [ 0.835294 0.835294 0.835294 ] + /N 1 +>> +endobj +64 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.835294 0.835294 0.835294 ] + /C1 [ 0.796078 0.796078 0.796078 ] + /N 1 +>> +endobj +65 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.796078 0.796078 0.796078 ] + /C1 [ 0.752941 0.752941 0.752941 ] + /N 1 +>> +endobj +66 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.752941 0.752941 0.752941 ] + /C1 [ 0.709804 0.709804 0.709804 ] + /N 1 +>> +endobj +67 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.709804 0.709804 0.709804 ] + /C1 [ 0.662745 0.662745 0.662745 ] + /N 1 +>> +endobj +68 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.662745 0.662745 0.662745 ] + /C1 [ 0.619608 0.619608 0.619608 ] + /N 1 +>> +endobj +69 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.619608 0.619608 0.619608 ] + /C1 [ 0.572549 0.572549 0.572549 ] + /N 1 +>> +endobj +70 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.572549 0.572549 0.572549 ] + /C1 [ 0.529412 0.529412 0.529412 ] + /N 1 +>> +endobj +71 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.529412 0.529412 0.529412 ] + /C1 [ 0.482353 0.482353 0.482353 ] + /N 1 +>> +endobj +72 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.482353 0.482353 0.482353 ] + /C1 [ 0.431373 0.431373 0.431373 ] + /N 1 +>> +endobj +73 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.431373 0.431373 0.431373 ] + /C1 [ 0.380392 0.380392 0.380392 ] + /N 1 +>> +endobj +74 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.380392 0.380392 0.380392 ] + /C1 [ 0.329412 0.329412 0.329412 ] + /N 1 +>> +endobj +75 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.329412 0.329412 0.329412 ] + /C1 [ 0.27451 0.27451 0.27451 ] + /N 1 +>> +endobj +76 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.27451 0.27451 0.27451 ] + /C1 [ 0.219608 0.219608 0.219608 ] + /N 1 +>> +endobj +77 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.219608 0.219608 0.219608 ] + /C1 [ 0.156863 0.156863 0.156863 ] + /N 1 +>> +endobj +78 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.156863 0.156863 0.156863 ] + /C1 [ 0.0901961 0.0901961 0.0901961 ] + /N 1 +>> +endobj +79 0 obj +<< /FunctionType 2 + /Domain [ 0 1 ] + /C0 [ 0.0901961 0.0901961 0.0901961 ] + /C1 [ 0 0 0 ] + /N 1 +>> +endobj +80 0 obj +<< /FunctionType 3 + /Domain [ 0 1 ] + /Functions [ 60 0 R 61 0 R 62 0 R 63 0 R 64 0 R 65 0 R 66 0 R 67 0 R 68 0 R 69 0 R 70 0 R 71 0 R 72 0 R 73 0 R 74 0 R 75 0 R 76 0 R 77 0 R 78 0 R 79 0 R ] + /Bounds [ 0.0975 0.19 0.2775 0.36 0.4375 0.51 0.5775 0.64 0.6975 0.75 0.7975 0.84 0.8775 0.91 0.9375 0.96 0.9775 0.99 0.9975 ] + /Encode [ 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 ] +>> +endobj +6 0 obj +<< /Type /Pattern + /PatternType 2 + /Matrix [ 0.75 0 0 -0.75 0 157.192505 ] + /Shading + << /ShadingType 2 + /ColorSpace /DeviceRGB + /Coords [ 233.441406 198.139206 233.441406 12.9668 ] + /Domain [ 0 1 ] + /Extend [ true true ] + /Function 80 0 R + >> +>> +endobj +81 0 obj +<< /Length 82 0 R + /Filter /FlateDecode + /Length1 4260 +>> +stream +x°МV}tTу÷Ш~ОН&ыщДМfы└щ$ б├─╢k└ +!b"фY"Z0|cB!Рe┬ХZцв┌│b╟v▀▒h▀┼ср&АтBkQT╛╗Ec≈xсы┬mOоiШgOоИ╫;О╫Ы╦sГ7oНЛ#ADq╢▓@Н≥sfлШМ≈ш&▓ ┬╢╩g.ZЮ╕рР┴л╖┬└*÷wЪ°Ыц=Hк<М©Ъ║╔Е≈ЖNg·^ рOл·5#`ЩP°f┤▐╡lЬlьv 2░Ы╛ыs,Я╬╖©фЭo≤w?4wФ ╒дялуо≥╠d·╬п4÷хБ┼ЙГ=2kч(С÷Ьяб6r6iT╝┌z╧╛Гhмтгoу╞▓И╙┬▒+4²├kКJF[G[GN╒щcВzЛ·r²╨*░зУ│ + Ц©ЭЛсЖQщЩ╬^#/⌠┘zQ╕?яrPхZКьь;ж∙░WRjoё╚ЦJтвЫ+фе▒║ы G╝оa7╢Ч>╡■≥╫j╤mън©Мш╞┼XуyУ╙Й╠r╡jQo3╣┬\·цDnHU╗╣╙ZU┬Mb╘X&6q*И _^$е8Л┤i╣&R╗╥н╩╔!9#r⌠2о╢╤*еvAнК▌уE;ЭЩSЗ╓╒╥к.u╡K╘╩ЛOыBнZ²Bq ┬sУ2`J3╨ +цIE┘АД╒И┘agяТБWщGo(АЭ=jwДG7Я]a└9┘S▀м├Эт,?a≈aО∙_▓!Э╬;Уir y≥╬L.J╜N1К╓╖Х}ТTИZ@▀L ШT╓.pUяз■╙>U╘U╝}╢/у^J╔^O▓'o8█╦IД К≈≥a2Гщ$r}z▓сd6▒X╖╫ч5▒░;Ц╤╛ЩNК▓emе└sЛТu╔║║a╠╗9Г≥Я▀┐╥╪=тwА█{ЖлKS÷Пkв(юЬКe;?ыh∙?Mь`#юV@╟≤CR`U╛╟ф▒кё[Ц█Ё┘a Ц╤У@╤F!╥█>жАЁG÷oщАsД Y?и╟OFа╢п@G%Т-╕УdN┐╗÷└Аb▓╦щz╩m ( е2╛6+<х╣СК╠gз=y0)M╗<уч~Р╚{╔╥К}╢tЕНS!QЖfOЛ5\gа·:к╒bV╒┴lk╜J6┘\и{▄░u]F╜kёв КJIOtас7ук%юОЕ|OИ²О:o\▄N~e9~g35▀╜-zЁl6≥Кс╓k╔╒Td≤▓°и╧╬А°v▒4Xdfh┬f·▓°■И▌√╘г≈╛у?╬sГЦL"vБж┴'ZFЬН9!уЕВтWЙ╒≤,R'nе╗#╩w55Мз}D[з≤уO}╕.щU╙.}Р║ЗcOАч'Ж╓3,╝ь ▄kC╝LB╥Ь╫╫US(=;Д╗MъьЪ╧°чж╛│╝╓,WB,÷&>R ·тёКXг∙c=─РЫ█=╖к╦≤÷÷С▐ ╪┐╧┌╡r}иярIIN=3#+oьПдo ╦╦╢ ⌡ВЛы╪yО╣╖╙√╨Ъ╝╙]УДs╙ЁЁSuж▐╚]]╣eKуЙZМ╜╨ЙЙ╨╜k╚К╕╧╛|Ит╘≈Vpg╞yГб┘wj▌▀ ╙╙0QТ<·Ц:╩⌡К,▌ЭЧ╓└t-$W≥)свДУё╜0°Pд┘%хCIг╠╞+÷ё╤·sдеt0 ╨V:бc≈yч\;%&╗gе╛÷▀ ]У zе╦фq▒Ж├hы (зy╜╓k⌠Ь·NKБiu▀╘b├X"Ojг╣ЁН~НВHВ ·▄ННhO╓░≤"йX_yM÷хЗЭ©ИЪУ╪гYQ'╤┴Р┘SД⌡MЭ?0I?╗OяУ▐Т║WХ-z≥^!r╠[N⌠{≥РЯ√Ф═⌠т≈е╩TAGП1rЯ╙>F▐╖wя┌З─w┴VP3уP=-ГX°b.╜п√kSXР3ыBu<Г╡╬┘╚╢∙ё;"VS;}╨6▌v┬vфуL_пji+╦ЕjЕЪоьW ╞╞ё +²d╩┬#╔ bGо{щвsMC╤lО≥≈Ы■-╖"╙75 °ФLч% ╠╫БMяaзB!jе=≤▐3b█·╘ОсгQмв@у╟О╨ХS╧Xйьёsyт╩╤X/ Т╠^f╬▐}©Eд{т╕0╒rz∙i╠и`Lёд╛ЦHёз4j1Oп┤ПzЖ`╝dтDs▒GРсrz▒P6┌Tц·zП Fх/xЕ6Щc╝⌡╢/╗ch∙К9вД╓ХвбaЁIЙп]О6б w| Л©ёь}╒д⌠}Щ?╠nцЛсД╟m╘╩╠╩{r1Ъц≈└╔+ oLXВf·ШWйsывN.v┤©;Ф в╠ecX6╣≤ё▀Y>vL▐.╨iXzЫ7╬,Л·9ш╫чX÷9r╫1kd6Уt@МчF▐Гд╘О$▄Ч°ЗфТтpК┐╨╬╧w·Н _{√ы╗R|]Д°╞9*█(^u·▌э_rMЧВцZ.{Q╣╤│нП=х`╙aзюtН щ╕hВ╩лN≥4Ч▌еВ╦иG©g{╪ф═┬яlНтЭ▒EоFёп⌠╢d╬К█зJВU┘┬ЯБK:┐Ь"÷+\QЬЁ÷еЦOA\ЖБрЗ⌡Е%┘▀A|DG÷DПG┘▐GБB>RЬп┤нO∙q· оOеШО ▒ОGПч°SЬ┐б╩>Эч┴ъqVА▄©╜д;MЬ█бi6?]┴Ж╤[e{%зnEК╞Se╚б╞SЯ+┘S +©TЬ┘BKo7╖к╥ сЯsN*_c≈г]x+гчTxCАu┘ё +?UЬ┴бk +╞*4)╠Ц∙╣^Ы┼BЦА&ы╗pЬP╘<э└ц+УC/{Е║R7ЫУ≈╫8╗ПR~╛VЬ▒б▀Э0/ЛВйьъЮ░Ш╫hpЮyЗЫЖ)Э@a╞бЙ·ш/÷Сaw╕PY┴GX^■$≈{╠La╘б▓x,╤bQ*,┬═"┌G"≤а<┘╧ ++<Даw╢х╖Б┘ы∙╦÷≥r┘Y +┘≥ +В)л┴╡Н╣╒Ta╨бщ +%еq╡$┌Б8э∙°"ОРa б²╪С²(JбTaх╘╫1е┴;&$й;&[p╩б╓ш 9IА6 +YS╗0a╪!'$b| M▌70н├[╬дь ф(э╒eк["(hбм┘П+|KА╕Р&'n² ot`Т(⌡МОNю(F*Д+э0б)o┬`дpC▌pbx·E7░gа╟tДзЮj▒>┘║Д ╠х├X08;V6░▀К}4п+0p─CТb─вУВйКnF/Зy-╡_╪d)d*d$юц8=╦ХA:CH мgп╔░A÷╓0⌠╒п;─^°╘^ +и╪(9I +N┘D8Л▄у^ё д+ь╛ир╕`ekk2, +qbbь,FаЛ└)²∙:W@X +е]в░Z6└R█"╟f⌠Т©0Х©ю©i'╞0╞ +endstream +endobj +82 0 obj + 2854 +endobj +83 0 obj +<< /Length 84 0 R + /Filter /FlateDecode +>> +stream +x°]░иnц ├О<е⌠C└Mё4d)J.>tQщ>├аE╙a|Пш≈%J╔─o√├zМo╫5Х{prюзXpqk░#Nф▓√│22ч╜rкYxB⌠xь√┬so╣#°ЩHа%├ vЕFэ═oAa0v┌щвu╗╝aУЧg╢рu═P╖r/б©┼│Я║W)nБvH╡©▄ом#╟b╥УKр)\╪░└²░П╕И─kщ╢Й_Л╧*F-©E Э)g6MzgX8=ио╙÷e>V>f>U>e>W>gn+╥╔Г╫zН·вТK╝!╓┴й.к(ycЯ╠nО|V∙С г▀} +endstream +endobj +84 0 obj + 254 +endobj +85 0 obj +<< /Type /FontDescriptor + /FontName /VJZBPE+DejaVuSans + /FontFamily (DejaVu Sans) + /Flags 32 + /FontBBox [ -1020 -462 1793 1232 ] + /ItalicAngle 0 + /Ascent 928 + /Descent -235 + /CapHeight 1232 + /StemV 80 + /StemH 80 + /FontFile2 81 0 R +>> +endobj +7 0 obj +<< /Type /Font + /Subtype /TrueType + /BaseFont /VJZBPE+DejaVuSans + /FirstChar 32 + /LastChar 56 + /FontDescriptor 85 0 R + /Encoding /WinAnsiEncoding + /Widths [ 0 0 0 0 0 0 0 0 0 0 0 0 0 0 317 0 636 636 636 0 636 0 636 0 636 ] + /ToUnicode 83 0 R +>> +endobj +1 0 obj +<< /Type /Pages + /Kids [ 8 0 R ] + /Count 1 +>> +endobj +86 0 obj +<< /Creator (cairo 1.14.12 (http://cairographics.org)) + /Producer (cairo 1.14.12 (http://cairographics.org)) +>> +endobj +87 0 obj +<< /Type /Catalog + /Pages 1 0 R +>> +endobj +xref +0 88 +0000000000 65535 f +0000016422 00000 n +0000000372 00000 n +0000000015 00000 n +0000000350 00000 n +0000008767 00000 n +0000012225 00000 n +0000016145 00000 n +0000000538 00000 n +0000000762 00000 n +0000000881 00000 n +0000001022 00000 n +0000001160 00000 n +0000001298 00000 n +0000001439 00000 n +0000001580 00000 n +0000001721 00000 n +0000001862 00000 n +0000002000 00000 n +0000002117 00000 n +0000002237 00000 n +0000002378 00000 n +0000002519 00000 n +0000002645 00000 n +0000002771 00000 n +0000002912 00000 n +0000003053 00000 n +0000003194 00000 n +0000003338 00000 n +0000003461 00000 n +0000003584 00000 n +0000003731 00000 n +0000003875 00000 n +0000004016 00000 n +0000004157 00000 n +0000004298 00000 n +0000004442 00000 n +0000004589 00000 n +0000004736 00000 n +0000004859 00000 n +0000004982 00000 n +0000005126 00000 n +0000005270 00000 n +0000005417 00000 n +0000005564 00000 n +0000005711 00000 n +0000005858 00000 n +0000006005 00000 n +0000006149 00000 n +0000006269 00000 n +0000006392 00000 n +0000006539 00000 n +0000006686 00000 n +0000006830 00000 n +0000006974 00000 n +0000007118 00000 n +0000007262 00000 n +0000007409 00000 n +0000007556 00000 n +0000007679 00000 n +0000009007 00000 n +0000009127 00000 n +0000009268 00000 n +0000009409 00000 n +0000009550 00000 n +0000009691 00000 n +0000009832 00000 n +0000009973 00000 n +0000010114 00000 n +0000010255 00000 n +0000010396 00000 n +0000010537 00000 n +0000010678 00000 n +0000010819 00000 n +0000010960 00000 n +0000011101 00000 n +0000011239 00000 n +0000011377 00000 n +0000011518 00000 n +0000011662 00000 n +0000011785 00000 n +0000012543 00000 n +0000015493 00000 n +0000015517 00000 n +0000015850 00000 n +0000015873 00000 n +0000016487 00000 n +0000016617 00000 n +trailer +<< /Size 88 + /Root 87 0 R + /Info 86 0 R +>> +startxref +16670 +%%EOF diff --git a/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.svg b/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.svg new file mode 100644 index 0000000..20ba0d5 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Airy-pattern.svg @@ -0,0 +1,90 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +0.0 +0.2 +0.4 +0.6 +0.8 +1.0 + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Airy_disk_spacing_near_Rayleigh_criterion.png b/Astroschool_lect_2022/01-telescopes/pic/Airy_disk_spacing_near_Rayleigh_criterion.png new file mode 100644 index 0000000..438eb6c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Airy_disk_spacing_near_Rayleigh_criterion.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Apochromat.pdf b/Astroschool_lect_2022/01-telescopes/pic/Apochromat.pdf new file mode 100644 index 0000000..f31268b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Apochromat.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Apochromat.svg b/Astroschool_lect_2022/01-telescopes/pic/Apochromat.svg new file mode 100644 index 0000000..a5688ae --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Apochromat.svg @@ -0,0 +1,26 @@ + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + f + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Ast_opt_int_lba.jpg b/Astroschool_lect_2022/01-telescopes/pic/Ast_opt_int_lba.jpg new file mode 100644 index 0000000..455d09e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Ast_opt_int_lba.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Astronomical interferometer line geometry.svg b/Astroschool_lect_2022/01-telescopes/pic/Astronomical interferometer line geometry.svg new file mode 100644 index 0000000..a7c8183 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Astronomical interferometer line geometry.svg @@ -0,0 +1,75 @@ + + Astronomical interferometer line geometry + + + + + + + + + + + + + + + + + + + + + + Layer 1 + + + + + + + + + + + + н╦ + + + 2 + + + + 1 + + + + 3 + + + + 4 + + + + + + + + + + + + + Lens + Point source + Mask + + O + O' + + x + Photodiode + detectors + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Astronomical_interferometer_line_geometry.pdf b/Astroschool_lect_2022/01-telescopes/pic/Astronomical_interferometer_line_geometry.pdf new file mode 100644 index 0000000..f7c0a64 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Astronomical_interferometer_line_geometry.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Atmospheric_electromagnetic_opacity.pdf b/Astroschool_lect_2022/01-telescopes/pic/Atmospheric_electromagnetic_opacity.pdf new file mode 100644 index 0000000..c01799d Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Atmospheric_electromagnetic_opacity.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/BTA_hartm.jpg b/Astroschool_lect_2022/01-telescopes/pic/BTA_hartm.jpg new file mode 100644 index 0000000..aedb554 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/BTA_hartm.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/BTAf.JPG b/Astroschool_lect_2022/01-telescopes/pic/BTAf.JPG new file mode 100644 index 0000000..f853727 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/BTAf.JPG differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask.jpg b/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask.jpg new file mode 100644 index 0000000..a6515dd Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask_example.jpg b/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask_example.jpg new file mode 100644 index 0000000..af0ae54 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Bahtinov_mask_example.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Baker-Nunn_camera_001.JPG b/Astroschool_lect_2022/01-telescopes/pic/Baker-Nunn_camera_001.JPG new file mode 100644 index 0000000..51088b3 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Baker-Nunn_camera_001.JPG differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/CF.jpg b/Astroschool_lect_2022/01-telescopes/pic/CF.jpg new file mode 100644 index 0000000..d0d2c0b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/CF.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.pdf b/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.pdf new file mode 100644 index 0000000..900b05c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.svg b/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.svg new file mode 100644 index 0000000..e51866e --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Cardinal-points-1.svg @@ -0,0 +1,246 @@ + + + + + + + + + + + + 2006-03-10T01:03:51Z + 2006-03-10T01:04:35Z + + + + 2006-03-10T01:03:51Z + 2006-03-10T01:04:35Z + Adobe Illustrator 10.0 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.pdf b/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.pdf new file mode 100644 index 0000000..489e3c1 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.svg b/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.svg new file mode 100644 index 0000000..f7bf046 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Cassegrain_telescope.svg @@ -0,0 +1,20 @@ + + +Cassegrain telescope +Diagram of the lightpath through a Cassegrain telescope. + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.pdf b/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.pdf new file mode 100644 index 0000000..6ebe7f1 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.svg b/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.svg new file mode 100644 index 0000000..78a686e --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Chromatic_aberration_lens_diagram.svg @@ -0,0 +1,40 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.pdf b/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.pdf new file mode 100644 index 0000000..83ef056 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.svg b/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.svg new file mode 100644 index 0000000..1456746 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/EM_Spectrum_Properties_edit.svg @@ -0,0 +1,2 @@ + +BuildingsHumansButterfliesNeedle PointProtozoansMoleculesAtomsAtomic Nuclei104108101210151016101810201 K100 K10,000 K10,000,000 KPenetrates Earth'sAtmosphere?RadioMicrowaveInfraredVisibleUltravioletX-rayGamma ray10310Б┬▓210Б┬▓50.5ц≈10Б┬▓610Б┬▓810Б┬▓1010Б┬▓12Radiation TypeWavelength (m)Approximate Scaleof WavelengthFrequency (Hz)Temperature ofobjects at which this radiation is themost intensewavelength emittedБ┬▓272 б╟CБ┬▓173 б╟C9,727 б╟C~10,000,000 б╟C \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Ferrofluid_Deformable_mirror.jpg b/Astroschool_lect_2022/01-telescopes/pic/Ferrofluid_Deformable_mirror.jpg new file mode 100644 index 0000000..00fac3b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Ferrofluid_Deformable_mirror.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.pdf b/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.pdf new file mode 100644 index 0000000..aec299d Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.svg b/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.svg new file mode 100644 index 0000000..703eb0b --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Field_curvature.svg @@ -0,0 +1,19 @@ + + +image/svg+xml + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Foucault-Test_1.png b/Astroschool_lect_2022/01-telescopes/pic/Foucault-Test_1.png new file mode 100644 index 0000000..e3f435b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Foucault-Test_1.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Foucault_test.png b/Astroschool_lect_2022/01-telescopes/pic/Foucault_test.png new file mode 100644 index 0000000..872d6e6 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Foucault_test.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/GMT-3.jpg b/Astroschool_lect_2022/01-telescopes/pic/GMT-3.jpg new file mode 100644 index 0000000..eae60bc Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/GMT-3.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Giperboloid-Arhimeda.jpg b/Astroschool_lect_2022/01-telescopes/pic/Giperboloid-Arhimeda.jpg new file mode 100644 index 0000000..5627543 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Giperboloid-Arhimeda.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Great_Ex_Telescope_Telescope.jpg b/Astroschool_lect_2022/01-telescopes/pic/Great_Ex_Telescope_Telescope.jpg new file mode 100644 index 0000000..cb0371e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Great_Ex_Telescope_Telescope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescope.jpg b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescope.jpg new file mode 100644 index 0000000..38f1a1f Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.pdf b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.pdf new file mode 100644 index 0000000..6ad302f Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.svg b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.svg new file mode 100644 index 0000000..6bbd194 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Gregorian_telescopes.svg @@ -0,0 +1,19 @@ + + +Gregorian telescope +Diagram of the lightpath through a Gregorian telescope. + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/HST-SM4.jpg b/Astroschool_lect_2022/01-telescopes/pic/HST-SM4.jpg new file mode 100644 index 0000000..8c4741e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/HST-SM4.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.pdf b/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.pdf new file mode 100644 index 0000000..2b30525 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.svg b/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.svg new file mode 100644 index 0000000..4050e9c --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Herschel-Lomonosov_reflecting_telescope.svg @@ -0,0 +1,2470 @@ + + + + + + + + + + + + + + + image/svg+xml + + + + eJzsvWtzHbmRIPoL6j/wfpiI7rjb3MIb8J2YCD7E3dmhPQ4/ZmdjdsMhq9ltXYtqh1ptX8+vv/kG +qgqHoiR6/BgS3RRPHhQKSCQS+ULi7/6vn/78q4uvv/v13VfhfD1b/u7vrt7dvXz/3bsfnRH07B/f +vPnh+/fvEPTFz748c+v5CpUu/rH+Sir+y927719/9/ZH+tUNPvvFj1+/+s3LuzdnP3/1m3d3r9/f +vfvy7Isv4dtfvH7/5g6+/+XbX9+9ffn27fuv0pf6Umjl+uV7+NbF87Wd+3VNZ97/yJezX/7mHVS6 +/O6Ht1+/fvvt5Xf/H9Sp5SzkehZdOIsFX/zfX//s7vt9HWzFY8Xztmao6fx5KSmexdzOo6vw2PV3 +r364v3v7/qfvvnt19/33V9+9+e7d9z86u/rjy7dnP375LXzz8ux/3b15890fzi7fvHz12wUGn351 +8/rNHYz0/uX7s4zDvvjH8Ct69JffwzPwOP6N4PKrf7wHyM/v3r+HbkHD6/DOK0Dtd/f6yi9+cvfD +3fdnNy/f/fqbuzdfnznEzP99AHtC2I//1z8NT0Oz53ktFf5ZncN/3Jra2XqqTagWi8N/gov4jw9p +UtteNSIH8Crli3/76cvvv78DLLz77d3b//MlEUZmPPz87ncv39GcwtD5kS/gy7Pru29e/vDmPSPo +rNeCP99/eUad++ffIeB7eihDr5z8z0VeXg2g5SuH//Vqx7/wbyCGs0iv+elPr/EVnr/P61kEcoPi +Dk+N7X+BncTZ/sXd/e/eALkSpflWz9NZ9Ot5qECY249SHyiGqRJ6H84r0ONZquGs+kYfuFanxrvf +v777w4/OfvLd2zsmuYt373/++t+BtlJL576kfFajO6+1Vf7+Zz+8uXv3y7ev3yPmENR4Jn783dd3 +b6CL1srNm5ffEnb7OOk3V/jFy3ff3r2HpfTdmx/e08Kuq3z1kx/ub1/+8e5df8E//+7u7S+++xfq +6Vch+LPaYDSIAhikz/msAZV5nsQCCBlmUNrEFvB5bRiw9Xc/hQXzz+9ef/v67Y86soi4wq9++vJ3 +d+9+dvfq/Y++gu8qvDLVCBOzyvc/hu7zc185hMN8rrwO/9u711/3ZVigr/yLxn5eh/+b/s+DBHy9 +f3/3lpfui7dfX313j1P0PbKkO3gZLI43333L39nf9A287off8Tjp869gNn/67vVb7MPyk98t0MPL +t8P3/+3dy69fQ9PAC/7ph999A1xz0T+gk+Xs8uvl35a/X9ILKNdQrtIllAsoDUqFUqBkKPgToQQo +HopLa1rjDZQXUK6hXEG5hHIRL5bYoFQoBUqGkiL+BCgeioOyxjXcQHkB5RrKFZRLKBehQalQCpQM +Bd644JMBfzwUB2UNq7+B8sJfQ7mCcgnlAkqDUqEUKBkKdhffGjz+OCirXxd3A+UFlGsoV1AuoVxA +aVAqlOIyFBgndhbfiE86+Fn+ATDWLlprsFJaaRlQFaHP+GLX1npTX9TregXlsl5AFSDemqEAWcGo +PLZd13JTXpTrclUuoVyUtpRaSsmIbUBZgL67suYbKC/ydb7Kl/kiw5ugnZIzzEdExMDoXF7TzTB5 +FzRt0MhCcxZptnAUK83Utc1Ro8nBiUk0MTgpOiHXNBUXNBWVJiGFuNAEIPJXQvsLQvslIZzRnQnR +iuaV8Eu4JYwBfteLm4sXF9cXVxeXFxcX7aJelIsMxBbhVR5wv7ab9qJdt6t2KfgdsTviFjC7GGo7 +Yke0AlINpyNGR3yO2PTLgMwRlSMeRyyOOBwxaPhbRvRtcDdibsSbYY0wRgTXy/5n3Zb1Zlde7Mr1 +sl5vytWhXO7Kxa60bVnWuitlV/KupF2J27IgU9gVvyuHcfMPYMyd/d2vLt8B4kr4qOIPxQ0FRrHI +YG6svJByLeWKyiWVCypNliuSWCEyQ0JDUoOyyOrF9esILzdIeLxOrh5R9j8XVpqUKqUsyGG4Z5fE +3XH9XxKrRY6JbI+m+oYWJy5PXKC8RHGR8jLVhQpLdUEma6vV1it1/rqdKPVQylAUj0kK7Se4KSzw +ixg8cmmi2RsqL6BcQ7kidGB/oRPAcmHlw0TA8oXNKOCmANxnvbyB8uLyGvG2CJIq4SQRJgAH1Hli +Y71M6OJQ8q6kocSFth3eerR424RkI6IVr3sR70a8H/UdyfakhSjysC2NpA/cC0iJFhtWxE4Fojmk +PfxBWkSqbESlSBVIuYh9pOcbonR8DQ4PFodudpeA32uY7Jt2A4zAAQEEoIVEtF6AQhrQyiXMA1LP +i4sboCgHeA1EawneUgDjDTCPP7YfcIXt11cwTy8ub4AbOZi9APOYoIMFZvcCZvoK5vzF1Q1QggOa +CEAkCbpegJyaskxECaImEaJwLLjjIgYRk5eEWcQxYhvwTnPgaFZwfnC2cPIQc8XXEbXAZJDf4API +l5BhIQtDXCPWKvFE5JK4nJCbIr0i4wVmTKzK0aRb/5ZDF7mDp7ropl0sRKsofFwsJAIh1eOKwR0a +BCRiovhSfDaQGIUyHDIgnF+Us1Dews3+kmQwXHYok4EosBBTxt7iS/HZSPICEhQKdijgoaCHfAFn ++orWLcqDIBcSg0dCxc7iO2NKC2ylSIko5qBwiUImCpvIlnDVXqMgShNJyFZEJ0JxNfReEWJvCKWO +UMrT3fF4SRgk/PH0LoQ4RlshhF0Yrl4QlhzhJxB+MmGG8XJJOAF8CDI8o2ExHDQa/ZWOnEbtabyR +hltooDpIHOINrU5dm4lWZV1ow7igBYmL8YYWo6NlGAFhuHILSDQNmPEl8DlknC/KDey6Digg4FwA +SjNIRKjBXaCAdAmS0jVITDdAmbgCPIwoAs4zyFUouzbh2obsLaq3iN6ieUSyoFgwDPhdBgRv0Tsi +d4taQyzhdYvVm2VA6halW4QO6NzicofJsmwQuUXjiMQtBrf4ayNbXHZcccsThSMqsvVnL8ooe9mX +vUgU9jJTNG60L3sBTLnVtmyEOJXq2qTsBcKLg8iozG8oi3HDbdkLqMIr9+WIo+UgCzthrkMZWfde ++5MNd6v6dcWvTBU/lbGhm4tIzyojNxN+VciNJrvSczTzotyqYvuQUnBCLaC+Xmg/F+pmpA466twL +6tfl0KMsffHWi62O8vEqyr4ni6DrdD9mvZjS/rw86mf5cJXdA6PQpMYONnewwYNNHmz0YLNHEMnO +sUJtBhA2gbARhMwgi2jZZAshPVHNIWwQYZMI695sGGHTSBB50amBRDTym4V2ZLaTsKVEbSUXYi9h +i0kVlSar3YSmVU0nQYRQmKiFLShiQ2F1ni0pbEthawrbU9ii0jZS8SjtUpdpUneaQ9cbVMUntcHU +fFYcLjemFFX3SeFfTOdXrZ8tKlubytaqogYANgGoEUBMK4tYAjzrdWINuBbV7cIUtryzsahhgE0D +ahwAmlnMOhZ3tha1E1wJFTQzhnWLizczmJrALlmLurl+cX0N+s0liNONdKVMWlEgRWglBYiVnwtR +e7KpPKzwiLrDus6yVXY+3w6zjIaYp7DDLKMh5insMMxkThtDxCQyLUe7iPD6ZbrbHffEialESp1v +tccdeW4+mRtRBlPKsreoTGSHuVllblxxnU3+27KerzBF5Aqq6OpxLpB/aF3DmTtL6xnwaqz78+Xv +fvWoupffQ5sh10bOpojVc0Ob/jmIa5nr1dSb/HBVajEmdBCcg5SJ/1RADXYgJXQSlHDeXMhnZWj2 +kfUf09scHt1bqIotmh8JQCHa0zswvduFVqAJlLPxn0TuttU3QWh/+MM1eSywcLBnpeH3taSA1dCF +RNX8MJQP1YT2Lq/Z7/Di7dfqdZg7In529+3d219/B7++XMYP6DNTh8RNu6nAy/NNAk4aYIdysIRv +Xrx4cf3i6sXli4sXDfaE8iIDS46wMXrQ9NaHuObyKWzzIa65fK75es81l881X++55vK55uu9aLg8 +3nw9yKkPCIfLXjoEZrOeA1488u45l/vkspxUhz6xLE/Z2LbBU9vBR5blqRqaN7i3/X9COTgQkAK6 +XP6ibkp7oFw8UC61LP1PKVcPlOsHivwsL44/N6fLRLk1JZfLon9sin+ghJOFhNDlJk5LeqDkkwX4 +03JTTpT6QGljYUvtI21JjzUlLY+1JT3WlLQ81pb0WFPS8lhb0mNMSWg7Xx5tPK8fNp/Dnnm5wOZ5 +DeR9A7Kxg001wOaaYJMttPguaL0g7d8QwXqisURkgTMMHbth0/4J4fdx5TFs4sn5zp+D1f55dpfP +2UK3zPkh3vlw2XPhE8z5M8u+wYe2iEeV5aMfeWjHgrJ8qMLHFm6wfmphxhyetvxFN0iGtsXFpy1/ +aQ3SvH6O+jTTnpbPUZ9m2tPyOerTTHtaPkd9mmlPy+eoTzPtafkc9WltW4b8uV67vaS1fK7Xbi9p +LZ/rtdtLWsvneu32ktZyStT6VElrOSVqfVjSYknqcR69sXxQTvmwfPQhEW2wcy5T4+fMTPqAg/Do +LJy5Cz/sPJw6EpeTKteHPE8nfrr30X+gHLcuYsSP3c6fVCz5DMHpY5TmaXlIVnxIyz5ZlofV8o// ++UhFfiw7JnzK3n6q7O31k4jIzytTO9iTGtb+ZHawJ7KHfVg5+3j1kVbyU1mnVbxanso6reLV8lTW +aRWvlqeyTqt4tTyVdVrFq+WprNNqnF5Y8UU3UOkrnbxhfD4KDdZ28GnmCHuwGnliWslpqOJa1ip1 +aOjBWtzO2sjLViqdwQropxFv09jOQ7W4HZ8S1Yj0QsCz1ohjOw/Vonb0MBh1lTCoNfyIoIdqcTt8 +BK3lte5qjM08UOlj/FM/f/WbP7x89+//5ex/3r3+3z6WM/zq5Zsvl5Pf0Ckw9VzdwJ5wfXN1c3lz +8RRerOVznf97PrE85SEM5BPLUx7CQD6xPOUhDOQTy6cdwjjNJ5ZHxDitxihGX+469fCu3RXsjhxk +D/8YYv7Fu+9+9/r7V7+5e3f28+/evr17+8Pb93fvvn359lug5we+hDcmJukVY7UfoqkPKfcTsloO +lDXS1khdfR+aHZ9SIrtYtnE+HwzzaXIuQwN94ngcA30gyybaR4/EPXwg7ngkrh+Ku1x2kWCn4sA0 +EkxjwfzGkjPIdRSczZH0N1oe0Ku0uA+X5co/soTHlYUU5I8r6aGyPPBl/pSyTMHl08tCv/b2mXn5 +RMfBYwXvj3SRf5x28aByc9SG5lFHp8s+GunTQkXVlPIEoe3dSLY8TWh7N5ItTxPa3o1ky9OEtncj +2fKwP/KUkWy0eqivoVjRs3TJioTTvpCg1xfeihySQvvOIhF8N1K6FUB/rqxcSrmwsj+WBphaTpxF +09No8TpY8cOhNKdH04bjaTeszb2wc2p8Vk1/9BjfhZUmpVpRTtK5kXG9ziSVwyo/7kxcgxZvLncG +CltZs0iDF5NyfSib3WIZDqvty8WktEOp27JYEP6+5ElJkzJxnsx8PzOL3eznePxgag== + + + T3xsfOkksnQWV/rYmNIxdObvl+HIad4cOQ37E6d65lTOjm8lHTv+vwwB8dtg+E0g/C4I3oSeo8yz +DCLPNuzdxJtNVoDrSaz7Js592QW5a36AMUPAi12WgG2egG2mgLTYiU1/ODKyzRgwOaE5UKpR4mLU +ZvQ0EIySRJ/1Pqu62bPv/fmc1n/UOa2P8fgsjw2uecjjs2XRT2sDvEjL09oAy/XytDZAPBf6pDZA +f72c1u37StKzvP0kb1m353j7Kd7ZGd5kB3hp0xrP714Pp0+PZ3flcLGe2x2O7dqh3YVY2P7MbhnO +pW7P694M51O3R3XloO4yP6dLgr+TRdvPrObNAd3N8Vw5X+6W3fHyfricyXk0lVIQOobY15mFdP4t +W0TOS5Jf8E1I54C8cJbKOXCqMVj+wWofMEWmdJ5dfYw5UmpyMD51ObpuxInxvMUwNHS6CrVQRwuQ +a+dIXf3h6bcfY/n55du3L+/vvj77VkBfLkfQc8j9c8j9c8j9E7gYH+9q/KwG/xShrx97HPdR5a+n +wSf7+egTyH/+Bscz0M9nLZ7PWjyftXg+a/F81uLpxIrPkZ3+gQJMQns+cPF84OLPdz7iyRv8izwf +8eQNPh+4+Js9cPEJIb4fKI9t8NFe8+Wj3ex/SQ3+OdTDTZrH52M0z8dono/RPB+jeT5G8x98jObv +n9bi9ae0Gn5e+cvdqz9DPJk9+g/PB6P+JN6KJ/JaPB+Mej4Y9dd3MIrMYo87HbWtevKI1FDtQ+ek +tlVPHpbiw0iPOjG1rfrXe2xqH1yAN4PNgNC2xRw8bwrPm8LzpvC3vyk8W1WerSrPVpVnq8qzVeXZ +qvJsVXlCq8pzTMCHy3NMwHNMwF9Ag88xAc8xAY/n8Y+s+B+0gf25G/xzSBXPwdHPwdHPwdHPwdEP +xzJ/ZnkOjv4kI/oxOPr59OLz6cWn9tQ8xqD5WZ6aJ2vwM5nG5zCPj2jwT8Evn08vPs3PX/XpxX97 +Il/303nenz4m4E8Qt/DksRVPFffxGTEHfhp04Id8ln+/bNLnnPJKzrWCqV5wOo3O3Dt5Sjsw/WDZ +KAhzFeGUl3LQEpg3PoGzdVR1lkc4Wz9K0Vk+39WKig5fnMta8U0vG79bz2rmhxKGEocC6F0kI10e +ShnK3CQw92xtnE2n/EJzDf2ggo/ZoHo+qJ4RqpN0n/0+/50CNoS9CBl0Quik0IlByaHrvp3AdyS+ +EFl0wuhacCePTiCdRDqREJmMhpiNJHtKlp2bDqfi7HJSop3LtB+8r33ZyLVzyfZUAMUg3NIE/3kE +/I+wpS5PI95zdBBbkUZSH5PrdePV+DMuo51va5k4nMZF2pdumSSjnCSkXHZZKbeZKf3AXMYEgAMr +4m7SYPsF4jIdfUL6lPRJ6XpXn5oNpS4yP32Gur1bybVPU5+oPlU7ml0ksZ3OWJ+zTriddHsK7J4E +W9Ng9wig5133edd93nWfd93nXfd5133edf9Ddl00jMCbUHeH1d5Q6Y74O6TcJor5h6vKsYJUUHFP +VKFCD1R/L/V8ra2NBpcPVaUWH35xCuct+PzYfmr1D/TVP76v/vF9fTQ2P9PQMbVzkJnD92s71n2+ +4A9lDP6AlLJ8QFD5UDD2wRm67MSVB/2hH5RYQGZZHhBaPpRBeBKYzTm1P1tK2r5u+bww8KMTdvm8 +MPCjE3Z5bBj4h5ywKAre3DwsN3V67BTZabJLzkqVQpecyF5Js4vQdcioe63ZdA/02SlUafTFMiHT +7rXvgvUHJSeiVxOxO8l2Auok1IlIyagTUiclIqYNV0e+ggZi4DITRj7/Vq8YOg/1aBo/fPF53KlM +2VPBw19RzbAhyJRofuPESeplesY8x/NMx26b6XjZKHQbUXc3ZcpglMV0JtN1uyHwYlz123W/X/nz +tW+rfzl5COQR659W0TPOnnH2jLO/RJyZsvyBcKmP3qaXKzYpPbd7NaIZpJcL+CpDNQ/60AuKwmkU +gYPxNxh9g7E3HObcw26OQTcSdrNQ3A1H3lDszXAZ3TVdyXNJUTgXdi1dpXicQjE5Wa6o42vqqCwU +pqPFb8r+zhstDwY/LE8ce/b4Bmk+nxH+jPBnhD8j/MkQPtioMA6k/w8aSDsH2WE0ppysQTaZjIEu +m1+HoJjTVfQyjuF/d+YCfHWeNvdxTCvQ02Tnsf+PhrUT33+ejtWmOlZDHSuIDejcbf63zXOrSj/K +EXWMdR8sPMtw+8yHvQ7qmFJLT79sRq+auV42Jh/WoCcXzZDg10U/MQKZPu3oDljSqRe6bzWRNMjK +tcqEjeTCC1G0L+XePbkMcLBS7w4ZLMI0nlH5jMpnVP7NonLYpNCe1v/fW/un3/JNUbtv8HqqFvxZ +PP1wr3Jqe/Hp3Ne1PbjFaJ3P2mbibJeJg6Ph+cr75yvv18mV98dL7LvU4/iTfWufP4tUU5rRKkBH +q/PBJ/aEd2h+7C2a06OBywe9YbMgpL1varCELTu/wtYUpsaw7qZiR5V6xlq96ElE9PyB36S12GZO +255IYWl/m5uH0uwslmlnnzRnm/9mm85mkzJAHETsuMwLzRYX1X6a+I0u7GrGS9kXr+SSRr2okWJx +JNZHhrdYrhz9CVKilSQlWylW6vYaxL9fntbrd+ke5/c7mtLI90eTaupjk5soLyTqSG+kvNKbriXe +Qs/68szrdChiwjJYjbd24yw39hbTX5uUCymXe3QNF2YPd3kPASdy07alXdIJ5R7rXd18dzcsmYXc +m5lcnFz47m++CfyCPJ6X5PW8Is/nNXk/JbJtE8sm8WuLhK71aLUen9Zj0vrpbg0766FmGlom56QX +OQ8tJ5yHI8sX5E+95PGSVxVaEM8q2eDVDn8lw37B1viNPV5ZTvdt7k3yJMQtB6v8A3LcYJefMSNi +R4vJbjcTN2cVAW1rmT+VOY2Wz/Kx62dyIalcrhnzOXb2rJ0jXjbu0Nn3LI6hAcGl5LVOPV9Lbmcx +nCP5DzLZByqa5cEHveuzncOuG8+KO0emtzU/nKzFO+o5ntGZHLiZffUx++y/3L1+8+o3d29f/vDt +HWywm4/Y4iAG8s8+28AmHOvmalcud+VCy2J/tkOZHe2fpQLYZA1Y5I95soF5eoL4QF4Dv5xMhrAN +qTuWE9kXlmns3enyUanDPj6V2UdmS3tUhqnPzzj15AminqDBT0gQ9eQZp54b/KwG/0E12RfCpC6N +91TjJclYgtd1LMtQ18ul0QPm8rLw1iQKb7CoVY1TfUHK77WIHZekBF+QSFIpJUEhkYVCiq7jQkpx +EBEHhZ2V1OMbUpFfiIh0RaryJanLF6Qyo9JcSXEupDyj+owlLrjps+DA8p4IxySZC0vmdSfSEbd7 +yT8XUhoVcmcspH5zIbvNZZISpai84q2oZC4JOC/6HgCoXGSNXVu5smIduBh/2lDqUMQKtNA/eVPS +psRNCbvi92W5cIcyyTt63MWoTIhxoX+uHyxXHyyXvSzjh0O5+PiyyB9P9rOc/KZ+Wlk+9cG/4gZJ +T38oZcQnp8FIZOl5kvInzJX2Z0pt9jeUT6KXp87W8Nzgc4OPaFCkMJTAUPYqJHGBrEVSFkpXKFeh +OIWCFApQKDihuMQuA5SM2F2AEhC7CtJCEg77CdRLoD4CzdTU3QPdObB1DQyOgWXjGXhMMsyTjgF2 +DSzmGxi9A90/0I+UqYtAnQTbg0zkKkBnwUKB6tdk0rkkMaaRqaeQ4UdPNAUyCjlky6TR6gm8KxLQ +LobDTWUhGx6fcNIjeXLOiTjvjZ12uiYxkiU7PvXUxMhY5PQT+h3SIhZUNh3yUSgszFFZTX4hB6Ou +yTFxRc6JSzkjxeekGrkqqCxi+81SkhQ1Fau1Uq26/afzvEH9Xl8seppsKD0X/DZn/EbOO5VHTpMX +PSb/2nw3fvC6kyfIFbo8fk/7uH3l6RjE0zX1p2pwzBvaZfpjpueyK/lQ0r4sm6PSx5OR+9OR+zOS +h7OSy/TIpB2b3JTjj9nkiW23z84VvGWOy6PO2X6Ez3T53EzB7DPd+ykMDaYii6LaTIuv4nAYNPmT +ivyLRfT4K9PgVX/vmnsU57dnVV3U9GvZ3i5FJWdNPC+ifgdRtlfLTKh7njrFdedTx3jf/zbBjYtN +9DDV7FDaO8TEFWZOpu5gUufSCzuktZozKaj/aNkcObgQL+qVOjiGmJT9ka02uDSGqJRlc8hge2br +1BnDB0/8LbMjf09/7cL6MKf6s2oRDytOtFy6D/SzWMKRIywfmz78Q4EUy6cxhdOBFMtjrk3aBVIA +nmaYOOLiyB+P6CCELDuMHHFyxMqRVw6IWSaH3hU3R+wc8XMINVmmODpiaYunvzlV/bPYwPyBfxhd +n47Oha54Nh3/dOLf9Om8Rl+6z/DBWpw/kPIenqeWXXcuRozLrn5IHfhQLXaAwi6BftKYtEZ25ynU +dJbjObDjMnhBP1iVHbQZXaUUCreulpuxrOfex6G1h6vpcdkhYUFOrhxdxMN3H+NW/Z93r/83vOe/ +nP381W/+8PLdv3+5HEHPUXbPUXYPR9mtZ252/nsL35PyOiXih6MCAPCrn3z39qfvXr99//rtt199 +NVD1+MXyk9/hN4G/+enL9+/v3r0Fcr/49x/e/frNyx/uzn4GtTCQYA858x7WIv1KVX5BH3+gfjrp +6b/+kT7+D/jz/wXgH87i2Y/P/u3/rGdfE/xffwb/9Hbu9RM1eAufrOX+iSrcbp7DT2+pwZ8xE8O0 +HZiqtUXqxT8hizwv6ewP8Edctcl7/RThU6r5LPjzGNd2RkBqmf56hY/Dp9QcA+LwTNTWsBZ+yBUa +cfFMnyhZG6O/sJq+hwDUoj7UO4f1vtcOGnboE7U8dtd6u++swPQBq6h9pRaGvk4GvsEJ/dKHeuVN +X+mX9TWs2772SbMn9eU2BH0mjv0gPK/b7nZ6MJTpewjA2FyH7lpz32+I614/6azSQ5tRd4SsB1zJ +Q9ue0CedV32oz7gRg76KAPS0PtT7t+mxEQN90rm1HluH9/3VR/WJ7SzQHzq1mzFuh7/BDPVAH+qd +23TX6IErr9vudmKzJ/XlvX/60JYyGd3rtsfDvNddjzs69aFeWXvcJ+FeP+ns0qxsBt5psx7Qpdxh +05PtUq8DSVAVIwl9FQHolz7UK296bCRBn3SCrcfW4X1/tbvGIDYTsV3t4xi3w99ghnqgD/XObbpr +JMGV1213+zLqPakjixj5ypY4twu+DiSxXUv6qo52faj3T3v8y+UF75Cwpcr+ON0xL2HzvXv7h5e/ +xs1y+IDIbdW1Mwcyb4r1LINUvuaM5xFBHKqyZ7qzi9999NapTWnT98xON6+7HWDySoLturGBjc++ +pc5dD9vryUxZuM962mRBvl9BVDrz7jy0NVPHFFbO2wq4pw3dn4cQgf7OXYqBQBEPe8JWPdRSkDY2 +PunrOWgsnnu/e+mtzOB/vXj3/vr1q/evv3v78t0fz36EoP3ni3fvXvKf/uy//uPb9w== + + + Z/8F/vx/zr74+d2b//7yPTQAsLt3/3j9PVX8kr4eHvqifXn2X3/+HoSqbw9PXr98/3J4avzqFy9/ +/eYOuyJfwf+EZyGFaztLG1mTas1TDnb8REINSzQBJJ4AswZqWg2NN1+BtXOMz92gLJ63sgrG1vPi +UhhrKUgb2yA7ngfvmCz2L/00ZIc/O7Jl3QmFP4a2QzmPpTGVRUK2QJBkgYWQbJrOS4uRCVvWYDx3 +a9vUUhA15dzmSSTsKES8feN/FrJ2MGrnt2StsIFgFWEDWQfAa4kbslbQSK6G6oGs9y/96yXrR9Mz +Dj/jzg7sM1Tm1QrDbTampptIrhGksABoa8ytdzW4jZQ39WFrLTXxzOzf9ddLy4/lzedhBUD0585X +5hYCQhkp+S2qfDnPLhZGlYO2YtrUU5g2Nz4b83nLWTbR7Vv/ExBxKee+FiKsUAojWmFAorWKeAES +Tl4DLnmHFk3a3WAnczVtqimMmstpfDQBT/cyH/u3/s2Tc4IBe+CyQFkxN896ncCAUEtzG1wBPZOQ +QLgKLIOO1RSmzQ2PxgI0rJLL7q3/CegZmWbc0bPCRkINDTlC2xA0YJ2eGespbCRofZYoOoiJbffe +v3mKBiTl6t2GohU2kqohGknaMYsGGo0x1E09hWF7Jo/Is0TTTQSS3Xv/emn6E+XnDMhIrY0CNHDd +mpWIVawryG7dRl4e6ylMmxufLfidEPHurX+9dP1pQjRwVZIiRiE6AZpK3KIs0Z1mG5F5rEYwULe1 +uQ22oTttTRsxeqz3n4O61QgxkrfCRro1bXygbzV0jPUUNhKuPjvS9/69/1kIXO0QI4ErbKRcxdlA +4GrqGKspbCRcQ/dA4PvX/rUS+GOtm9ffv/rND2+/vXvzFbz57vU3d2+/XGbAM8AtCHQFsbqM3kD/ +SJMmP8+bArQhYuLwlxNOVPSvt/aeny2cm8SJz29nTAUVn/cf7OQ9twZ/vYG/OMIgSKAC7Mw5SBvt +wWd+aXRIb8Fx5LMvvjz71//5Ebj98d3Xr+HPdy/f3p3908tXv7l7g8idQdHIEYExOAyjCCByN6BI +kCESCHquLp/ifd21eN9B0qpKMMOLRpA+eHtsSydnPfvnpTuvf2tTBYwU13VJ5qSFKWBknrvYyKFQ +1KqNQR81MEisDajw4nSgPcIgKHP5gL5fXuT0YAtnVFtgeMp/bQyqVUHDGxHya23QeUoLsEbrCDDs +s4JiRzz5illXfD6vvpEBpYVVNtnAoiPV91sYvALkcns00N6D4Qf9Db1vY5c7Vk6hDkGJdvu81t4e +2g9A2YIdrb/WwyQhrKzBelcLmXWyc1sYvkItPTJYHsyJCfv1BAP3JzA1aXDyWuDLtF0yqKlOk3Gu +6MmwhdEbREOlZwFGPRHYbH5+vfAlq54uWdXgpt+OW1LGWZL5ux9As2n+wNTvWkPQNxMU3Z/GOdLh +BDRD7gj7ZiBtofb75fSCAp1nAposkwH0zYB1mcT7ATQjsQ+Q3a61zTj6GhiXxbgGhAtMQPvFs11P +33wEt//pH9+9vH/9NW2g/W+O22voi23nn7ZzYgv3/C+2Q13VBodPYql1e/Z87viCX0dRMzBHfHcw +cPvfTrZSblXwCAuBf7/ZvPNNr/hGkASIZRE60g5r/+Ddx7/tXZy2C/De/tBiwHWO1Ugc99z+ivGP +vx2xcmxu6OPQXGw08gBs5ExFgnOPdyj/djO602OfoOFjCOQXL9+9BakKyEP/IuIAxlnCZxJGCSpF +9b9OE0Sm2E3aYvSeaw+sdUoOJSjtbdvtr7K3K5qjO7PJazKHjON6nmJs1qZ8FB0pw5oPfvdJ39Gf +7G9SuuZrthvrbnR7FL3MoT3HK4rkUwQtAHoEIg5ed+1R6gn6KWOyx0rxAQJBAgANAZ4SaugfQJMr +QSOYEACKccXbXugm7XD4jBb+Boz6lTAagsVzGjE0vNb9Jxhxhp1c6iMogLqyFtA2z5Nf0+FjPl8j +aKwUGSOgdg77AYlytaI5a/cZ8x+lzK9QUDlfU87Ay2Ne2/4jGhFTZhQpKJ7HFY0JsA2l48eK93h5 +6RSBsjvHwxyARhBK3OEjqF11VbwyqJ27jA5pmUL4HBywFf0MNHG1kCG0eehbMbsofdTa3gPrgAnT +1uzz8EKDSZ9gDjZ91M/jqAwmA/cJM02F4+cBdQpT7EIb1bHJYPu5z4+CdAqhq86hH2//eaACgwmh +gCwQWkyHzyOpGYyJEf6JPtbDx4GYFaYE7/H+ojD5PKwYg8mS8hg1ntLh87AiFSRLVqdX1rN+dEQK +fel3ZtG8y8TvSTVh4e58LZHZXgTyL7pByQdsGpc7YKtizD1rSPpx6JqCjEFgmH2cfB55hsIES/DO +VICk9p9HTBuMJ4MkohoPH2k2mQIUxjOekVpcWdvx80A1BiPKojoFd+D954E4DST0C9pkqLCv7j+P +a8Bgsk4iMnKY38PnYa0pzHgGSh21HT+PTERhsu5lcpUtyEfhIakBSSTbdfQjVI4gKKD5jtot0I8G +E6ufc0bvbmAupzCPRy7IVFVxQe0/Q9se7VH0jMKAb4OMAsNZcTPbf4RR1soYV1jEYJJK8V8JOdfh +czxPbuW3GGyFtxXsQPOl7D8G9Hwqx1ZYOE8JNqAEzCFnf/jsGzAn3XoUljHHHve+4X62/4y2N2E6 +CoNdPldYt8nDWsc9df85gaCS+RmDufPgoV209cXsDp8LTH9OimYCgSpU6plObuQloh+Zgxg/+IAS +8NHx+JW/uXz3w/e/0Xa++MndH87kA/T/y2U9u4D///UPyw/LRh6bi4MkDH5VavNnNQPPSaEgH/uq +FFg7sKmHAXy7Ba+gHSayM+vzR0h/9C3155/h/293zcBfiYIgENxQHCJgCTHKK2G55UIvADzXeOiI +tHC7ILInttYvvkLmt5aWu430i8vLi1evfrj/2XfvX2Ldwf4JjWP4Iyjf0HZhVk29A1LzCeRFApdI +fjyujIuAe51gYXFVzHzJwJg9A2HnatBRGoirLQG5MHhN/DYYnwdlWDDR+HFMsCmgADsRA31dAz+O +iSTjKuAAmo68al2DNFBAytX3F20Az83a+72LUdq111dXBRYCNC9vAsbH44cNKPTnua+wXoK9al2L +jN+1pJ0icYeAwJiLPb9F9lNOJMxDkWGQCKATGZDn8OygJU5nN0uXfZ9Hn4t02bmgQxZGIVNRndTN +wUsDCbE/68DVkw6uCD3iJMvYQHBL1SvpOO0FGb5kOm1spQUdg9Oh+XMfYd8lcAtkYp+86ynnCHY9 +Jy/MOcswcCsUvOcKex/DcDfnLoASJLC86tPFV11TUDXoKFDC0SaTDiFGfX7z8qecHtDtwpqG990L +eM1KEg1alG4At6zaX5mgk2MjK6VMBXAZAbqiXMgalYWFOMz98ZqkVxFPdEpNjCvllelLEKA30k++ +0wcIEjILJPgxEDhTVNIvVYCpFiE6UCmdvX+NKfJ6r7iKbnVUaLJmcLVRtRalXwnWz9kUr085aSeI +MXRqxB1f0ZN0acMOJUDXmh+AOmbftC4dUZBW0SnbecOfmB5xPpRsPFmHGRqUbrLX1e6BLSoTiSjG +3U5beEouAAJrNQaDu9u9gKNRgItZKaATewUiFmBCHwzzuJSU3EHui7rcAmph0mph9gA7mcsCg+kQ +AgTNI9rzDX25vOlnCmNFcGYPCy8DZfYoi+vKJEl+OrCnnNNMFm3qnCvkIxVocwz1PvPwMvMVBgL6 +FFirPD/sAWj490HASQaXUVGyVr02sH3/U46tadvAPnLUtVjZCsvihhFsNTIpxu/xPE/QKRLBJtdh +H3PIXa/kebSQMBSld4atSAY884gcBCJtCBIqhnTx46B5r7Zegj0fjXJqFQYB7Wcv9Bxdfx6oRQg6 +rmuUV/ncpFMoRDC+Ww0yi7X0+YpOniaepCSq+8SIKaQDhcYgXAeU7RKkBReE+RaTCwvvwdpXX3Xt +kLotDSQFhuSM5BpjVRRDa8DE6ChVi1UFiipF5yqHqppFNuGLNOrI4KbSG1pdk8qmSYSDPQU9LXXW +VemQNNp7BTeB+pabIB2gQTEZaunQbRNPyE+LYyMFU09TDatQGgdZsa2pDoNgV1QAiCx/FPTBGO+t +PFOFAp5kAYV1FQpGMJrNurTAQJ+KTEptzLwRiKYIXlag5lkD2a8C1iWIyfGRq3BvM+sWAKQtlPuK +ke/cAG5OMrDSatWqsicU8uEzrKEfi1/U7P0OvVAycfai7FTfCWnNAuyrItRa7PEauS4QsPBc6BLZ +j7huoBVcAtvvedKt680p91LxoHgWg6ppm9JiVp6SEUvcADRaqrGaVcgOa0eVwEJkDgRAb3J/LMzH +j9TyhEulkI9ISab5bKRIK0SYZlLqCKpMU1WhLaeCUnBrMooJuPfz81lmHElOR5dYUju+/ykHB6Kd +zlJySccG0DU4nVFBcsCTF0IOsKu6k/QAsLrK07QE5Wllpjba/cufcmBAf6a6ejSU68hCjONCv102 +vRON+tboUisHZQCexf4uqE3f9oRDaR4DVIXRBuznvYJFYcdJCjRJzbFpg1dYbk2AKSnXxK2Upgmg +eCiBmVPk5Y1t2qZbRdwEYNcfOseC52tQrYu2eqmbDJMiSgDQ++hU5cmud8DWt+6azTGNM3px10Tg +eo72G2nVTDcA7nIHWeqkrikrudSiQDQ5ixTbpAe1gQprChpqewhEtbSqZYHJvJaNJqcoqGXgAarn +VxQBbA2H5AW4OhVRyPrPDYC+1FTqT2hTQiBmGdJheVSckcIqnyfmml5RUHATkqXW1qzkXAaF2IuO +XTAqV5UGEXzwsM+qNq2w1mytQr/VVhdYEwBgbLpHegwUljdl1RnogJY2sJrWUCNbAAsoHcGZiSpz +rxIyT3lVRMmHG0jIEbRj0WndviHVVdhSMvZayHSgz8dizzfhpKBjNV1IWcx6AAzNKLbWYEwsNzNE +VVnm0Wy5XcvHmtEQ26KzBpLJ30pb2IDwCdzmswKJIzJvRKGGG4jAHXX3B6lb+S2I8kmXcm0KjEnF +ttV5w4FaMYsSgAq5NicV1r6aPlYkJX6UbMFxwBTTVSOtXuQZZuLVocitfKT6KMBq8khIVaQUAOfm +dPiihNVxs3GZDVsAXA0nzXCCdVsLSgFrlbrDrLD2VAN3m9+E+qI+T7EVPFwfRNeo0Qz3K8qRDHIl +SAeyYz4EQPQPiiBsizgOqjcRgFQ1Q+TamjYKQwlKlcZGOrFjA1UYRjdLJ1apiLMokCy4/DiKbE33 +1mh1c11VOsdARwZ2PbP4mK0B0k+4rvY1M4Jlf7BWu4kA00J1PpiUPxMVCdA13XVc8Qpcne5lVS1M +AK5J+uUjW/WqOPR4q/ZOgTnoEsaUXPI8ilBFEEtS8a3wd9f5oJJG65NIwibvD9EY3qrUhvuLyTar +Pgz6Z92htQGfVx9At90AGPYENTlEfZF6NtAM4XR3ojMPBCRFVF+vugru+z5J3aZ2kA== + + + LEwB98yUlLP7vjs2sxIF13R7bb1N0XSPAsZTSi+Hwd0LWDdENArwFoP7McoMDHQ8OkS5SATiobO9 +OwfRo2tlom2riaOoXNvkKhVk1uMUP2oDwxhPb3WNm1EHT8zPf4R0V50uCZk8gBn79CoweSZ4BiZ1 +i6HMlVUy8JXFmNa9I4V36z/17OPCbqqZpZbEbIvylFloUe8VWFaDV0KH+QOCF6xSc5CkxPoqAk1c +Vz0UuYjLKiPC/t4ZzrZfT2i8gMaDadMUiq2Ddk3tCWvm9QwctSk/oXl8kM93G6jLqwqW3QZKtD/t +wFNOqTcBG19jUwraelITlhd7I9Y1u5YTdQRrButyUpmxohdG664izaMc4PVloCJaq9sePC2/Ug4p +bOFelJVopjHa4m5Vh7E5JYHhdt7I05EXCL6DxAqagqcegsZtRsjGpi0GqsG2YRoLT0DMb1HUk487 +K7OM1u2w1BJXjavayxyvM6gXVIZyoEPb0yrENOacjInKZ4epttrAWrapbuYWaagi6ZoOxudbosNt +LJ5nVhpa4hPdLJyvsotllOhUnQwqm0BdMrpwXRH6AZiTsnmy/CEQpTsVmTAMXp9PbVWZbRUUgMgu +VrjK9igGZlPRaKVyA7E7qtu6imgCUFfNBySKdkCRSBlYFIkB81yp+cckaYSW1awQIenzrpnQrMp7 +qVEtpqYfQdVVrYjNR63a7XhZBHEAGtnHoA4HeDwmfT6LuROARaSQJIwIRrlW85aqsbJ1lavwsSp+ +uuouhClNzxRJWSXboIIVItqMTsXlaijtopESVTTXJVrr2bAOQFhEfhCCtFn1YhdWsXn61U+K76pK +f7krB6WVTipJ7Zi0g90KuIvXRoF56FgSkzUAXRSiIOc0N5vZKS1Vqw4XhPmo/JIEIAajaGBhPomd +2Q3leq/8CBU+XprZzNMh20JGz46SgZrqsK75t7MYyFvlsLw+D9pAMBm5JZFR0ZCghueofACVOG0g +orx3JUMoJqZQ5Id0SzTCartfKxzuystgHELa290bRieplid+G4D5rHpHyra4mrWKhkkyYCIn9Moc +xG2DMNXnkGg9P49gDe4q7Bq/FQa9mouXeSnCYJ2XgRQZqJJQ4TDEK3lenR+V901tFvRTNauwkoPA +0sxW485421CPLy65K9lKVqfMzXNQyWlgc6phod1RG3AadSQ2YYT1SZHIgLpi3IROX/Ep2/PF66ZT +2KhEG1wPcOL5I6SEdbS7Wgc0SoTCr6SvYnqRIKDprvmUQkMa7DoBdBMRGk4yhG7wScJnk/F+jIOO +8Wza7NP1GVSuMTYBN657AbegsydSKgK71r3GIrBiSns22ie7hSmjZGbEqj3YhAxU8vyqtlN7PGGE +qnmNK0995swLPHWstiAwNYs5UrcKgvs0i4JOdS2eT4RkAkqAT2FdURsogy3Dc10Q7oIyfOtBMU9u +6UZlasBszc7LECqnMqhmz+IGKCGNkHRTHGC7Gukl4ZPUgFlURTWu+hjXzLqmOv81z1SlvqgpJLKZ +rq5i+Wdgidk6UMysLZI4tdrMlhJqEKDarwsbRriBxoa8avZ6AGJ4stPRxjUzcAUiyCq0Vp0Et1qE +S7NZxEMFIkmxBMowVfj57LY+LvoTMH1U7rSmutMLUiN3VG0kyKrWbP3PxcLReA+dDwrfWjv/ys0a +UPupPHUrM6NufhhBLErIXUQXrR7WmAZSNY5o0NXhitNmXfLSbDpf1WFRdQ+J7McVYTRqo9FifVfd +VkDscSqgknvnVsA9fM85p90KLahVE1122lfzFqh7B8EumlmqRK3bd1za+6UB0/xoTXIDYZDHojYA +QmZW/iKeagQG04zDGvvIJATQojKoV95kfNnb0mCUtNDkCYN8SiUucHJe7gg6/O8FnHU/dV6nInBk +tMgzsRp418TT9k/Nv3hcY+gfLGRZWUU4A/S5Lze2mRGwqmepFjcQhbGhYU7WogJH6xO968BT7n1t +cC/AgJKMrlkMtKhFtwJWokW5vA1gUw2aMDRar7ZVxqCsY/e6JxyLCxzzSogibkxjcZ5lNwZ75jV4 +PEwivVDzjwIjTwhXVA8c8ksN/Gu2Z0Jdb1xFzM/UgO7tyJ/5cYcnoC0mjbQxAlr0TeNAMQTCko/6 +oqLv94PAmDn6BYGkFwsDLF6ArSj5mWjr/GhjYN/sFihq8wSBTzk7CR1dKk6hb4VnJ1uMRO1bVLYF +3YUfl9lTI7JTUvRk9koKd2VOjA0UVcsrx58gUJ0zoo5pA+pot0g6ajWZO1D3WDTHaUCmRe0QeI3q +eBVW6kZXkugimgyCOxBjsOdbUK9X5ZMfCEzdT55ZoXDAKrLhsESd4TpIL+Llhp2MU1kK0DcBriYr +JnWwIFhZjHmYENjjLtnpUn2P9Skasy3gbLaVmII8rzGOg5iDQN151Q5SvePDJXVwsyPQi6JZ1YWB +QBIaq1nBtIFm1jm8I0bq9lFx2BbCSDliGMcQMTib76Awsj3wjWDhCyyoeq9+XwxeUN0PoV4osOYm +Mo6H1WS6N1vWEFYszEAOnFRM79jUP9hU+UfwamJ5TuJ6rh5knLYL3K8eSLto/0mnQ2AxFw6qyVXH +WobQQTv+BIPB4FiLHV213Wgnhbxr0qwGjtZhFfiighq26rQH3bnQ+JACvigVpcHsVFTF081drJZV +RA2YsO55E/H4fbDYR++tgR4wQ0IzA+mIYDVtnYHQF+PUPvUeWKQenbRGYOPTxcJ1msC6sE92LHo+ +rCbrotVS5iuYn7IbJQKeO7J4Ks9kEOakic+bUCmxV1hXJ6sxI2CgqlYojCfFS8O1IVydxFoe66oi +PIVR8mRrGFJjjyA/n/l8CQ/LCyMAbp50r3TsuEKgun/xfEVUvAJYFnxk/g6QYBb61bHwi0CRck3O +4WUQc9Ttt0Z9UVEbTC0Ko31MXp6TPW7oT6LE4znyqJTSQjOgxAm0c5f729W/1kxhp3PoZU/W0cyN +aCLMQhQeZffVNJ0stirkTdLbppHayBz9qsxNYtZo01AFaNWYNdpz7FAOnda71d3UzlZV3TUSexGY +XPkoGZA37HUajEnBQNxu7FYkEnBuBarRJl2RBmmBMoKNk4AV/ep3SMSa4s1G26PTx9X5hWKJtakR +dlAzrb2BHghGRHQr4LR2rb1qE2azKygliLSDmr50oASTjGCvM9+nq/J8lz3Eo0GdtRDi5rIhK9sp +oaL7biSNkmraxCZzCJC9q8sdqoD5tUjFHilBysJUcnpKsSya6aUxf7pXsDiLmoRs0OQmNTsIKzwx +4dG2o6bHRqlJiRdttskfX/+EYzty1HsBq9NCTDnCUYt6xyRODoF9/9JTHtBJkPeMHyarGSwwU3b7 +GUd/uonbC/uq7DRbP6qrjDDfwsMrQmW2XV1VC8ZGm078VtnAtE91dLNuX6bC9FFZeUrckLW8msVF +kVPi6A25FWhfxbSV3c7beEKjQsAdSJWWmlalzDgEAptvncBmK1hXcv0S0KkjikIbpu0+IVajN525 +sFB0L+Ai5zgllu5WwXa+KFfeZAEIEpYChTEc233CTuceeFFZ+6VOb059ymn7SsdUzcVOnsia42Dt +tTg7AqvCQoGCtwLt4cZyXL/iwUE5vtRltRxNFWx8xFCbrZ1HVhesXdcFFlFvsAsSdt5A4GARLAeL +CJFTSVcyXA3xahinwQ34QeIX1zsCYU/UdRnFd1+z4xUjEhvPpnWU9wd4VMOOGoci66NJGYXa2/E8 +fjFLrc/c95XzTzH2osr1mLWXrZdoDBcnWGqkksomzRJFqqNZXH2gNRVujLvKUeQI1LMkjTw6CMt2 +JKKxos/PZ93Qm8ZdVEwjsq67OcUULnKQpbG7i5/HEAu1oUs0VsUs0BytxOk6mwBLtpPxZj9O/UxF +0whaqnswQGFCFHtVS8Wez0klLXt+2qi3M1WMX30er3EXXPEBSASOB3QKD2BjVctqHgAwCGIq2SdB +oeNwZCEBXoHJDfGzRCzcwMonIETaZS2OkkWqH0NdUWk1q0fjda0NrKoJq6wVYZJWs+s5p0BKUSPi +o0SQI9hV1ZdUhAag8mo5GoSg4dCGBqwBy+NM4jwsEZ0ixfHpBhPYWxE3ynmW3CIIpqxHIoBLXdFo +qrnduGYxmTbYHGIPTOPMYuGJPWyhso1Thipxgo3dftoAiAOqsIgeFgu5mrgqK5ExDxiwyOqKyYUN +rLp1HBVOda9FstIZYapigrmictAFK0JbjEMSgyj2idgD1kUq5wai+Q4ax67yNhWGJiSCivYuVTkl +1g5mHyPZLHxJjXdQtR9Ko8gHATY7jS/WWWygxy9h7LM1sDplWoHftQ6nqFaO6kSgmqcrRyXx8+ug +CVKuN5QD2mCnIzs7AusQLUjOPBZnsYu6/aqjGoHJtk1ZcQRUjY+2T24A+GJR/UbO7BIw2YSLJkrJ +u8ybp/F2WDepgYF8p/KurMbwoQM9LQPFRukIQlXa6E7GgGcTFKyMPxTdTXBgshMGjAUyR/OqIRWh +sLbKU+7E2xESKIjZjA/cajBJv5mCjBnWgnVWt/jgB7OmnNtEYDUVvWYmGAQ2PUprTu2Ap2xUwqu1 +iNi3SqYAPCTkTUDsB6U0pucBGbMf1gL9lycxmRm96tkPBHaCq0WdlCGxQVkmjHkc4Uq5URTDMACb +nqKjPUyfb0H9JGqvBmDn8WpmIqBKvpZPBSexH54lfePW2tUYpqIGuGy2pu59BaCXGJ7COYKNClQH +VLUVLxzxFq0k1B3ElsfPx9KpqBq4YLyAUuf2AI7Qd1+KLVqzlv5ADyYhNFlyCPUK4Qr3dk5a+yrm +FQImTddEi86E7sqBBaFZPKCmkMI124MovAV3RMwWZSdo+KQKsjgf3Lb7AAtqrE3m1IpuWEQwbU7Y +pia2kollYIx6omVkuyWo/E4uaeblejAXDSVsLSagrpdVqS3i0Vw7Za5vtwB0ibucqibSph2qynrK +hsBGP7ICEGaHCpJsm8MR4GReHEym2PT8npoqARgtsK4lQTPIfuHghkKoxspLzCzCUtKzrRJcyW1m +jfnVI2W4QfYQVbWAYPLApiICWYR4L9YAkML5xXSL7jqVCsWwna/ZzpQ1lrRJGnAqTmXVFKCume4k +3pKe99aoSml56BVNtD4/HKbggxMko0SL8BXGFstgAvLGgzBZZYs23SyoxmLRofW8Cz5Ow3F7tAwK +b3a82DCI+6eeuyCTJgOr665IHf/GASEucwJqxFURC3RE8d4yDVRroPXQTElhh7BoiVJ0oYDkah4U +ox/0dLhx9dyK6OyKZeRwKnpXp41KnimU3TVYUU7qqfBvDj+KSLlVncRazRJUQzqNbo1eZKmEaq7K +zl0BT1HzPFQ9P4qaFugZqibwiWcCmvucTiHr82qTQk0j6LvI6Mqd5WOtCCSuLUxRI5tSGhK0mQqa +hkjiKhQAwLYqryOXquqVYcgp16LooL7benNVIEycmaJ0w0vF4pMtERopxk7JReK8EQ== + + + GIqGx2noPEK7eGMqHAoQca+WSRg8v6m43oFqdTUUD9XtNaocENn1npDK9UyEmYmT5NYSAY3VMgB2 +MbmIixRTFtrp6tb1wjamJrOtFS0GqSqD4xBSNDlU35VQMVjsbENPaHgCsumpE8lzdC9gOy9QUSO7 +FageI8DDnhp6ltDvYnqAbGgJjUHOmJ9T4O5tTzuUXe9sKEn5tdPlFvmOBpmSGB9aQriGN2fmpVVj ++HJej3ogHiTk1xo0PUPb01kOoxGybH33aqJz6mf0IjhhdjKvQopSMgDVT12HYDwAO4snlNwo3GpP +vMEzfezBUxpG0xCwmcyBgCMJyoByklM6ZK/sTmCLjTw28oQTUBpzNWYaeAaUelhXDrAnMBmDbgWs +oapN81kB92A5gOty6iME+hqV7Wg+KwSXpCZBWpoIRBtpUfVczpIBUM6CofGuqJWnrpw+mBsQWalk +jd3EqN3M4Ul4t1uWN3UBsPRA08aCAA2s9FyEGH5XuAW8GHgV+6FkVKyUUUkNmMGCkAHcOXLLWdvF ++4YlMTCtHYSN4cYa8075rZLgq59YQLAFi1mruVm+gWZCHAK92I5EBsbsX1ED0LoEk/HwnHYglrVY +q6tZirwIZpgDLmsQBB/dQph6qhuvI24WE7Nos1ls0HU4pyfJLhHYbaXJ3O2Ug07dWkVmERPL1TBg +G2HFgtQaa+L8fDE9uHGGLq3btE8c5IYw62g3XmEOuCpVJZkMwuQULVKhWHAxI2IIuvtmjSUakiJi +xAILkQDs8fkqbmJNE+0sXwS+rLMFm9Y8ZDAFhVZH4G0ZUaS+YkC1c4lBuxWwHF4gO7iXFvoBJ0m4 +xxOblQIsNDlXa7YHshBidVtoIgNl0bXq1iyIVBBUZjTHRk8G0jQNA5GmxS1RqIlRbE/bLCdbiOLN +Y6OHBCipnPL4lY0ZmEfe6fujBTNhriuzN69Fl4waEviQg7zH0sCWFPoy6vk1dGZKzzSADnjWcEs3 +HzbulL4/WMyQuCcof5dXxivHmcpqJoPGqqo+3zGojuQpd6E3WcRK6M+XpovLOUUrZm3TJUOpDBTm +bWJZ7QZgz6ZDZn5jhXagQ2I7Tj3fmQNlgtLne54kMvEwg+7hl3qgosQhmNcFyS+HYFURLZoJYMWi +qovQCibIKabfaMwIPm7ZgIoYyTC9jSX9a0pXyYR7CcHgBtJgVtWzGyWzGWC7w3RdWEiAG8BwpKbr +sInEjSmRvLJNQ0Edcio14VqlDSZgb6pAaefmOKKkpLcCDUWj7CmijYEUNcjbmWhudbUcKY0JXrZk +GakEaaFI4XR30tiNo5zxhGIWHuZf1e1QcUO4F3B2elyHAlZvtbYYK5vmVKuY1ieoWCG2Ycz/w65C +3L11m6p2ttAx/xAJxmrq1olA26aaJiDlurqj6tlOBCZdiiQMTYf1lDirdv66serMOGvDESc+1U2w +1akQw+sJYWwGoMu7dO1XzBCm+yXrqphbaFV0iWmmmmvXideRn07n3QnNWVoQphlHmmbQAbnNzO6N +A2H5eTsor+LWrYCdEbMkb6HJ5YgK7IKEh9ZgRoDWvQEILSYMC0PB5E7GPJvExcGbuggFLQfrF0i1 +9SBNx3MTg4jPKDQ04x6aHpDwUC1GUeL7MMUT220R3WJ3h5rNsEBMS5HbqWlYDXlIzxCdzVk1nmAj +xsj9quFq45THqIFHSWKla1F7emNX6r9IVT3Q0fSmBwSuVTuQW9B3uaxxF33HqlWzEOKkSbw8NuA0 +zCMpZiQeRriamsRrtdytjc/SAxDz+LA/mG9YrALscr6lckGwic6atgLz/TFvI/WDzafNdbL35pjC +xB7M2d1qRr2GSoKRZ9U+9RgvO+3OrSrzyOI1xYxMqpQlZ6/vzrIeeopVbXWL0IZ9YrUTkSohKpsr +SXTkkvHDrewzE9TZDqhuxSNreUq+1TRRHfa26hEXTL7FbgkES1AnMikWXGmNsxnhFOdqitlBh6xN +UxPScVAhLYtMJ6DtC4eOPZWa/sulyZXIv+SrbV68/Xpzsc2j7ruJm/tu6F726aU3oHdPr70JlLC9 +DfN/vwEnvDi9+dyvtDlC7NHbeYt69w31DS/AwQy3eMMx3iiGF1x66KTDLDx4zfFX5DphVTShLKa3 +z3CABPLQhNkKxfyDcimGgiBMD++XzGu7P/9KzBSBQuhSyVYXyZoGqlV57QiM867oIhPgkEGDWBqZ +GBLmO4wqVWaSqBCmWyslqpXH8Y9XYqAA8dAx1Mkx7eJF0iaguI4BGPFaYwKCAlG4gVwl6hmHRHrq +V+Rj4HQzCFRJFT081n2MuXklni92kmFXNRIO4yKyY5jaIUMG+ZqnpHACRnoewOgaY2gM6gx2ZGCh +V8m5tKAXAxj6rpYtmFHN3sDVJjpqRit0KDrKpomjUg/rgVBewepEAsPr8PAGVbw6c0M6VcJp7hfF +FOEfhRRuE6+1l6rBIgLQucAvqpKq85WYy6VPNWgCXBTwtIFsvTfqkRdtSarKSUSVCTiqNtXKPkKm +FCHpygeLviJNT2HsX3qldgGBNq2ZPN+DRzUtqqYo7iuGDZRqJJFlTP31GJOiPS2ODT597rT7uymV +oe6mtGO6zygllQw9CmozUzqlW56xH4BdLzMOtpobZYMVnakBgeJe0lXZcW2z2melGVmME0hUsZ3W +lsZpzUprLdgcANkKS0IZQBDbu6XAV6LYc4LJXV1OlkxAMZ9TCnBalgTUxY7htCvKlQiWU30YTUlG +q4R5lsRrFpsOQGCvZA0JXoeqRhiUeov1304BioA9YQi2eL+wFlY7vDbQYEf2cbqVMlDshb0GaWRC +GYSqPWX0ZTBbL/OVNVuD08V6WNeH1d6HP6WrKQWeoNYpZU/XwAyBp5A9m5XjBB7ntdP7jGVMecuM +D82ZeNutK57UTsHJznNvSb2kB1bFqRU0XWvTdTlbw9PVfmAMO3aRzzUR2SBXYI4uiZ0u3t7E8TIs +AbD8g/nUcq621Nmog+Aidin0+enr4TkvS10XtQB3NDHWXa1u6QygL/bc/dNHFrBb651bDGylz99h +qm2pN7yHttFN5HuqEK60p4rOrGYM8FG8kgloSmmTnp4a1ON45atHIOpBVn1qt2zD7A080YiiGPEO +1DMsKSO0yEuXib+TZDT3zEC85cgUMZGc2S8UmjGzmVkvivntVgvPKJp5JrUeqYnXo0hP6yiXFTks +g2DjidXSsTuuy4zS3t+fp+hs9oX1qibCYK+iNBr6hVeux9gNsyqDVSFIp6DqBjKstD4Bx7k6vdUd +FvBuWvv6nTKFOf+YcZopS9ozrx1HG0c/pYop/cxJbUqVM/KdYe8kpidTcpy9/aQOjHrKFOfsc8Jq +p/vcSJPDjI7ka1PaCb3pPG3WRGfpm/WTsln/+kpruznFF5FPY7dSIyFKhVpdKKHvkz0h4WoTbWJK +ptyARVdqEF15bAAxZXWDigl5AJpMFntOwGD0g/cPy6JMGng3LNQ4HEgdly+Ndaut4AiyBTN2nqD4 +P0zV6X3qwGmOs5q7snJkXydY3ZQtThnontUe+G8f/5QspgR0gthmdDkl4AkCT+F6NinH+TtOq20r +UwY+ZfWTXeHUrprMYeAHJ1WsA1jl5w2t6/s368KbUD6sIR7BfrHp8+OyPKqgmLbM63HdGoZloRZx +tDFJp6K+SG1q+LTrm2oWVk2OeQ2a7Lc5tB5Jaehrw/PE/yy3elQTgJ4myByGx/OktyxnDt5imajf +sIcZyaMZm5rekCd2hWH2cze2bBhA178GXpG7puRt+jqmj1P90KasztLQr8YjvMhBqGBnXei64Sr4 +lyPiGDPCg/KcjY8noFngreMcS3uiOHLwdNyV8UV2v8X4PM4aG2HQhy9EuSpWczHqdWytUQYutOLN +zzOl/hn6TqJ6ZOBO4iU2E0jsaT+vqadP384r5cniPaSxXyMYAo9z9cFtWa4G5zm1BYDuTafRPX2l +yP4zrqlBfB5Xn2rJ23Uqe9pmRbuyn9MPmuAP6wLbuBUbruZOyZw95is6D9Pr2r66GgcXoE5h1K5Z +VRV2OFih1D1fEBx8eLcUFrJD9sBtpnxpzsJmzG7KFff8c7eA+DSD2m+a98o/1KyHgcZFntfTRHg9 +Y9QMfqGv6jLEX2j+ixlVTbB3CtF4TMZpdnNN6ITHiZxdyLTq+0Mbbg7SbJiof0bNrKs27IF+JMJ+ +vwAzZ5fTU1ouab7wUPSUVJTzitlcCxGdonqbKQFVsoN1WXd125A5h86hzLebUwuYXTB4KyrKCkpT +IsGgJUiCRIymUvG2BM3VhIzYjII6fegXU2HXaCrhbbd76w88Huzoz+hrIvGNqap2qAolG/eV7lSD +qyuOUuHgFbNNbXSfGaftHpTx+cHZkphZj/ITNkCJAcbZtwHslCUdrfIaaVfBI69BoHknlNcYcMNr +NlWrIiZ3YXM/1w8YkA4oOHobYxfCD3g9MQXT6ZrN64ECDnRhjrGZs3Lq1TzhAZ05S6de1ZljbUsW +eTzleHDWHfx6R29fJ/YpXc0pcEKtJwTzcbGSXHK/kWETxTMG0UsUV2s/dhPVh4tRqrBT0PjTqo12 +vWykSD2TsCHe0JQkNoSudW37RaBO6mb59GN6O7e8buyds8yhbTiUNrCmnt9zw8SMhvYYPC3uHoZ7 +v1+rOtoZBk/gejYtWfOGDfNXzALTO/oVmeVj2w1pOvgDnq722Ov8C8OiEp6mwf5nDf2PktCJ+E9b +d4YttDCbEQqvL494aQtuLMoAp1vQhIOd4HVTnjhnn1NWO2fKBwZ+5OudquZEPCP32dI45bIXEwJF +HDRvLns+DzCyu8xR3RwFIUlvT0RM7KIrJDB2E4chh102ERvJG1UNsR18ickuCCRtd3uNt9j5ANet +DibOotKUrRYbfnWcqvOrwSqAwM6Ws5rGrNnt+ikq63YXAkXu+r6p+pKlW0nuKwhNFDMExrbf7fVN +e8Yuo7XdvjSLBLFcAUPIiCTlnEeXoG01MlY9BuizVOgpeyYC6WzNlFQe2O33cTA9EGQfMjMNrnkg +EGdPgVNSnfX15LiO438AU/uQnXlszzEM6JRlK5uvdmVWrZYtvrECSahGOWIC6rTHU91Y1w70JCPW +dRRN14Gwk1m2NA7HYH2p+OHob4dG1vU0+LsHjdheMQbn2KrogTxew0u+2gT9eJuqIToodjNGj0+J +WzOGvix14Xod6k686ALce9FlvOox1VXoTePlfAcSotSX9m66Tm/XhyHsg6F6b+eImSNxivDp1Bxm +cTe3Q+DQNJpqGnd1IkZrHs81CfyaRR5tZ3aIUpqEMx0Cn/bzOlLslDTmRDQhuG+WKTNXj8KB7083 +iBObyXTjme1Qh71sN4kjGc8W+IwRnOAZU/4y5USzZXBixUyX1nEZ7mdx3Line+R0N53tvN88UQxw ++swYYMyGxiIxpagjKrJI36p5ly3S1yD83Aw2PPmRob9k+KJoHFI8Xe1uMk/QiIlO9A== + + + fLBjWDC7FR6d8Kw1Rs54eCVMJFGCFtyJ66reS9yrnW76kmY/e0nYgEA9P4jZEugsAW+bqywVTE9B +8SDDBpv0DtPNVtzkcpndri3p1EQW8pqbjo6BbcJnkdbpHplt+OwAHqwEZA9TqGuWDIRTmA2q+xHZ +pyxnVVvchM9mTeYzcEE67s5Vg507yFVftA2fbXIiDsGaXBAELMpkQqxdvDwlqYCNp36q5vbDc9h0 +HxNGjtG50lsRh/mENwW/STJwmFdO+UEhfdH2EcEfhZ5p9EPSixU5TC33kLosYXKW4cYmYBPqN4CH +razPyxBtbNNCuwtzkCO6T0ppmxH0TSB7ST1FsYJyjgmNH5Q5HYF6KRgGtfEiwLHqlakU/1Q51ino +xUA8uyGT+toCXyPEZEDHgjgGSU7cel0xClSlns+4j3U7ZsdoJ0PhJlhug/DuxRuaWPnAxnYaWyfF +A8JOyklH6lDcTihpRnNH+rxapihXsj1Oz3wiJ2M4Nd4pZo5YPCK3R+1NKX+6RmbracpQBvIYYzlz +kBvqNoFngV9KwDXxzYE5yhUrSEj9Qhioy2ltKMYGk07cyus4GRmB9by+53OJHI4j73JGnwLcYXao +i5xe6haj5YFsh4CoIzHvqbYT/rBEBhwc8HVawz0uPcXtcZVOl/Nh6V8tU4zfLidnZzqPkzGcGu8j +WcKrx2DxYaZ0iq+6YXKHtY+XTzg3gLlZvpSVgVGBnPyLgZr/LlVLJ+2GvEuYukduF1rPZc9P7tzJ +sb6VhYYRB5songEzY8TdQKEW3DaQ8jCCw2hPM8XDClGmeFxM01V3WKFXyxRdunAnqJ1OwmQIp4Y7 +w8sRhXvMDkF/06U/ZRIzhjIXsYqlfXBsgboXEVMcpoFTWCi5rL5VjWVZNWhJr45IPR9up5ch7G1D +RT3sC7NNy41iePk8n+SlTFESiOQkf/Oxs1enPfkHir+fj7en89q/bdat4xCOI7PIr+lSmq65Q2ev +TnEIzI4njvfI2bY08Fxv8oEJT3pxcwqWixPXgqRND2ztF6As0GC3egvwlQxBB9brxp7QIfN57S0K +Mov/e8yM8U+UeHyVWKEomUdTsKx10WwAxwFfnWISB6q9n2NMUTN5We9WtuQywxDSZHPluCDNXrtZ +DpRH8uTC2ff26oRHoko+yM1RWYLqQesebDP0qg5Ze0i7s5y0moLOocgYNVwjWpp5Pv+d+fz31bQP +t6cX3oESNQht267mqlxXvXKO0tPuO6thWJuBOcv4fKS6W1FxkwXtaW6xKS2fovsTa2S6mnbjPTGP +mDGOmMw2ECTLoaiNF640uS1y9NdRgoYkrsm+11SNcMN2q+TApJQFThx2WUwXeFKLDpuzE0xv3KqJ +xXZS3OmCOjVTsJCGHqkclFFlup8egTlUvYZB9fkxEmFQ/QcUdiPB4HQf7QnhuF1snaFRs6KPfkOb +29HDaHO79UYmvZBvrJtXRW73cB5n7IHIsQMSzIJ0QNgMs8dJ4Lk5WJZ0bg5GqJmxamZq2U5Nt8rM +zDcHS8/R/hMsKn86t3MqmFDMif2umsxDbnYfLacg3wJAq6ZJaiszYJS1WxqKJHNAYLFb6kqQZK5U +NzpNziVSoubj+ooi5fg62k2cAOo1QhsYUuA1cWynLIs9GKmwR2VsKNbc1CNtK5/erAMCXm12gEn8 +RZ1AxZSFoWFoytLAAr5FHMHGZzQrLwJLyepQ2c3DaVl9j7B7sbrxFQmE2+j0fHkU8l7tSpBTM9Y4 +vSWDNX+G59EQMEkcM2a9sXUrff2KvAGc0QfHpblRyOjB675apj7EFuW5RaBPqkVR1hIv2IpNM/FX +uVWMozPUAZV1Peee+WzTseY0NqAaX+9Rf9NtYcaQTvCuKZM7xRBnzHPKZo8s+cipt1LHgZqndH9q +jczW03TlTRbpNx+96c7mYT5l89md0cGRZpivH7ZiXY+TbXu6wc+Fgang8GhaIpQdl9+9UumBuU7Z +8IxVnGQrMwZ0ZFbq49utSl1+xxU8X+sn+MKMh0y5zYwzzdVqTZa6jSJCSxAldMR9t0hsBW7BlH+T +/EFZkpJ5yV1JriO0cyoP5GSf6OSjWGgWB6KkC0+lx7dhrBklp8c+SI6Ybp/aROJQGnXxJ9I9rV+J +AzuK89OcjN1Uu86UPHNUda2j+5SKXdhEubDY+yQXC809VWjw4BkfYlHs1i6OWWHT3xHhD4hqB7ea +Ts7RBTfz1R3deubt206ZimrH6Z0SwmwMJ8c7w8wDWDz4BqdOxIm/8ZQZopkdfmUmrIZKzmzJzvGk +4i7n62Q3uuQ2xbtBorirhzAd6SGDJdK+4LqWqnpDLHU7Cs0WfIQXSJLUnujH64np8BAEW4ZrsPtN +iyqf6HTXrHuDz3ATZNL9i95unh0ckbG7f7oXLY4KZfe4JbOZDK65OPOSCHDvJfHcgArdwfprQnca +vKGq/R5m7KQAdxzC3u/aeztHzByJU4TPp+YwjTq7O4eszu7Bdzt18p5yCE+dxxMv88xDup3bwZs6 +cbseHLT7mRW87v22A3VNyWhCct9snRybWJ3ZzjDdQo7bzdUyXXu3y+llOl3P07U/4xNTjjKj5VNk +P1sfx7W0n4h1a9I77oTTLXOyu47RNj+cUHEdZzvsMS33ovonyyTZQ12QGPpNcZJsu2p4MZ2clIzE +VhOdACQYqRzGSVBTg6WXs+p8bNpCjIRomVV9FJOEC5r2kVLRatBpzqsmmvLsaKAWTD70cr9Vqj0v +N76B3+84vlWlML6MCMG5mijJF34jkI5gibxGl7biAKhfevKF7w2inA5yOSER2Jr1PCbT1BHhJ8Q4 +DLGnO/FwYcWgRh08fe6J3+DeW3t6fu+iuKYlHBtgfMMYubbl6CdGwJVVkNLnpSBP5P57k2PLajnM +o135Utae2la6z51dJ/SCZ25WNnBGztvPdcVv5vla++lgTzohKFk4U4uM4F7ANepofXSaL53TGSc6 +RrQqMDMNVlGVrkQto5vbiDJWjefGI8ChiqdVAwFysrsXck+mH2eIQf0m5nxADIY5l7hDrV5etpuE +3XBPbp3HuVWKmdLBjGC2pKWhGzt06QimqJ1OwmEED4z2iJcjDrVjW4RrvyZEOyXvyVKYG88TX8jC +PvTqnN3tIrHujbVz3rhXvdFJk+4HvcJxSxh7ctErUiaUNaXBPblezbt6e9LdH+QQOHJouofqXoRr +OtJJo0qm5SW7LCz0aBAOhhzuoKH7oNJxrE6zMG8H69gUzdeaOXWgs6ObvJGiWxy7etINd2quDi2o +r33ytlm3DiPQ2Jvd3GqAyIEKZsRy6OspjT5rev/AlzKob1Fv/MzswmVgyHpdDdVleYHJf9t79Pzy +TfGb3tPN2JKI3zxzVfgznSKX5OdJHV04phrWfgX2trcP+OsOLajjYvK2ebd2I9CB7chQB7an1xlV +HxbA1byrJ1cWetnlHqHIV/tYfiq5ESP3vCGBb/etfINK06xrbBTaDStO9xK8W87rafpVZCq8W07u +nM+WYBwP3a3MXQPffn417+/tSe3s0IKS4uRtke0u235F2Xd2Q0v7EevQEt+mOhDzlOz3NHc17+3t +I9zcJgTjNPD9fNtOheEyIrr5nYH9Lj9NnY7Z89Qd3w/EHV72oD9724D2a/IuP96ko71yeo31FttB +LyjfDgwvmtKbcIwWp1R7oJiraXdPoBvlEBoAJSAMdmVDkd6ifqlXx1e9d5C8iCpZ4x1Iq5xpHqRw +tKwWsUvrQTsM4ORsh4Uvv2AYxWGxxb7qdSWYmFR9o2QDs3QXdPcVnQ4pq7pMSf1gRcZFtdfzAt0p +PXiqkgMCNgqSLOZRlUoq/mzmC5PTF1f389XT9eOqE/WUEtmzKoMGiabj3SH8tIXyOIj75eSAT6Fm +g0XF7VafU9xOVb+JknhCoXxQ+dzg9qDSar92KL9dTk7PgxM5dOyUP7mp2wMVI6RlTfkf6YoEclPr +zSCVb5VHdT77pjC+j4csU94p2eLtPk5PYcnFNySVs/Zb7L7FvkBq5ZtcXgkhwY6WRdMV1zNSCgv4 +KDJJABmRT4y6C4r6TFX5TiLkLEUvk+h8uspFBhiQzTOzJXDxG+/oe/QmoxtFqV408Iw6huZeQfDa +xGeiV8jTYuAjpp4d0tNZOKlRdXw1TNBV1DoiMewcoa73u+Cl56XwLKiP+fSMqRW/mYGwNrnAhA7U +hlU5nShPGNfAK1dGy+dcu+HzFAZ22FIX4I4B3i6neeWUqZ5gwBNmXeReJiJPuUmsNlW+FLNKSeLH +wMBmaQDJiyU/b1cKHVmicsodfSlxsBsDVzPtcdLsKqnp9Fb20/RNd1NRGlBQjaUHgitgtHpU+kgw +Yg09jte2vBlu+G7kx215wVmQjdgC8SIZxiKaisWYOdsDhEAkRSns3nKM++TOskW5IecwO7NpnE35 +Nw+ssimC51NxmisdGNiM1Z1gi3MWeoLZnljmU5YwYR5TupmJTl5tAei8i9UikvgmF3LTNb0vqpij +H10Ole+qKFWzQdDdRkk9Yrq7ivmbbTQYxlMYg3rXXLVLhjB6tlb1WPfrJYfN1UnczW5zXe0q541h +1Ick6avNhOrV7b41t3peumyZLeoZ5eBXtuHyYE+aewv7bBoLzQyraxWzvHpFD9g+HfN9tEzfT+fL +7NWzl816daL/M8v2CRv4plen7artnNOZoAOkKmUVcwBX2SxvBaz2bq83ceJ1gyGJUhDk5lb0muGe +sbfd5eG+r8F4V2Rr3tCWAukslt5EWVXqwsCKTrBVlzfmvQlViVviGAmdfLHXYbgnTUqUHoMPaHu+ +mfB+bp/XcIijdfuEGXydyKNHhGmzU+SyLwHJIwozO3b3SmJrDmtcY2sm/GDGOY5c5mpKOOqQmyD9 +xPRMp3I67VMCORCT9mvHk5T5TPjXhNHNeOITnV/3fnN+fXp03c0PrutttSkVvvSL98owQG4Vkp0b +w/Ptots5eHieT7DT4fUz7JwaSSTsIxPpi/aCyUQ97ch0G7BEUaGZnQPtiOLP/qhyMwsr+qo384bf +SAAdaLCJc7zAYnEpm+GdMpkS2PfcQ9XkZLxA8I8qWpTVogCDvPHYsLyxIwOv+EPOqgce+FJrvkUl +qILEV/Ch553Utj+KSFdbFdmerCBv5i33QVYn56pAJGg2Rr2Modj94vDGGoMA6QYPHWTy6klBe/Ob +abs6RLR5knFVyUBTofhK9wU7tCRJUl0houRButJ3hbpaSl1465t5o2+eaq3k9VPXyuaiNhxkqfsz +KwSJqKD2aGU/g+xudrOcE/s1Apt8wcs4o8+Dhh9BNs8YdAASK8wm6xoxyuHn6NGIccb12DAXHWpi +kjIhy03M0WW7cjhiOlJk/SBVQot8I2CU63QBmGDOmqaVg82Bso1iA6pkJC9GFnyVl4hItBdm1Cux +SwHDyF4JbfAxE+y+XjSLZsxSqPvFhJDj+DUaBK8Pr4FrZ69+GbQu0lWcCF7bqkdd2g== + + + ipJg9GhddGZNJiLHrqXge4Aan16LflVekDAhCl78HF09lyt/8exdwb0Lhxuy5jZDB0ASaG2s2ya8 +uBatGfgmvaEu0QXpmftECV35ecw8w6PVLSpltlpEjwfrJBDkMHoNEUZ1BvlkDCsbKNQJ1zxjAPql +d9xJGDI1kiS9c8abUZGT0dSsmqYjq4QdfegXlXu5pQ40lHOQBRkYODcZDTZYerUoObcQnBkvWS61 +RQzQYWhhxbFFIQJgG/b4KpPV2L/Br4+VBhXwTKNTZ9sOAYqZwvnAgd8NjBj60AINIfh+nwfs44mB +a/eP4qpZA88DxVZyzzJHzNCUZWenLBpjO5mogrHVjgkLliwmEdYwMrK40/OwwjQmgiJu6F2qLqMF +hcKpeWQ5WQIQ1uNxBFGiSjCmmOR8HC3spur23WJAY6Q9nlbDicDMaGjSscCQioIjginrsfQsccN4 +hKdqlkvafKkLQo0MZo8+oVE4AqYJdDw07Hg10TU2mUnYFzWGCrgcWbUQbJJVkl0SX6YXECXlaCEy +kl6pjEu3C+MI9E5ZPKYknd3cF7lDAavLwJKRCcFAgpM3RrtKE3hJcEK/mh0d2Ufm2XB8yfXvZVnT +hk4d9HI3Nsbo0vXRBvy9qAfQV+m1F69JkRuRI3JJjLv9vcwck2SSEFcmSM5bHTEDPXr8f6+7d6CF +hWFyTQIhImfcA27Op6x+v4xQPK5ds3r6KIoYgBjvlqQDmKqIJi7h+d/AQZART2njDbsg3DNxc130 +ftEYQLxZs/j0PAe0925xF7zIRxGXjRfcGhJhuDQPjFvg7qS8R7wFTRNb4X6Lz+PlJlWbDY3j3OBZ +ltdmk/v7XZibEyoIQY0vUNOhBV2veQ2erEIw49GvmmJQspbgAq5eE9Iya0rIFqKyxhDpciyAeg68 +QBjuliSDe8xdztcRwyIAURGR7TGwRpcZvEF8Jh6tI7T+cavg4D3c8cQW6dGYmlGQBN7aVg3Jph0B +349cFKaMXgXSryMzIvREDX5HBAgD8VGtVchZnKr6MMpGbBTrq84HXC6STw9fp4dZkSNmsh5jx71w +Np/YJ0L40mhJjz4gsurgvul5+XpMJ1MY1pLoe95OWHg8lc02BUBnphyVgAL1SHonl29jlyjHmz4v +sUc4GyJj+cCbCg21iJByHL8gBoQAV0mlh7kHGV4Cy3FOM+Mg8R15DGx8Ai7gQuET+h6vbBZk9RBd +kuUcY0uVB5BM2ILliwUeg3TWPGmhOFqv8h/IcnIaxEtcFgOdo3D5sJq1zInyymRg4hu0yzeOYP9X +OQrhkKZIlwh4KJqviT4iQDEDeFwZ55UVd8KMQ1moMjRkdsUDjDgLNRxWzoDqcNEwZiJrF6+kWehI +5A77lacH9I/IaCA5ga82d2hl5qGhqUNPj7lVQtYAql46vFCcLCg4M02CvfCGazKu0cBUMnYYxMY0 +g2zSy+tdorUYGsvA0/ELYvBAOL0Lr3UxvKyqDqXoOCGI9CsQP6DUpcxQV73uGxsWWuRm+Twt4lAu +A8IrFIrMjd5ZgeZ5tgAFoRJ+HGVBstQgZ6vse0NXPfsaYCcF4uQGknAzzOtXYn8emHDj/mfh56sd +QIpd9jqMf9yIQ9XDH/hGs5wFjA6gkaBMoUsHBsWGM6hLZoTfy6pOKxnGKfEgy2ZAu3jKagBSXbKM +aa+rZAPBofDMYSIEVMd/Lwj2lWKvMNZernF2aLsrEptOMdi/l/Wj140G8yLiWhMbLKobwNB/v4xg +jCgrkq7bo0nCSZwRHcTm7c3JHk95CeTsV0A9h2+CK3wRDtfFVC5s6MuiVKAWMPSJX4+agSSLBzG3 +nW1QmMUgyJjFE0EExoCWIJnZg5r40CgDUy6yAPAYR0gEKYpwMZ3d7VasG/FBDT+q2Ec1/KiqH9Xw +TzYv/PLt25f3d1+fObcxLVjWxkdaGOJKOwNMbCzIK7yjQJbQgGDI9NvBtxtwxosH5Y6qoZET4KGR +t9LLjdUhrsiyPOzH0ALwg8oONADTRWKNwZyLmurC/BKIs0hwPbT7ErBlvmiHwDSrABbdjh9HIZ5g +nBmWYBkFPQYCy5TnPd/dRGByn90KOCNv4bc51CgImNBxTMBI+W5mwyJLNqGGTp3GguwzcUImAq+g +xDOYOSQBuREERrQlMCzQ/AAMGK/jDosFgaGFx0Y7elOgW8vZZmpW1MnJxM5gadPT/Tf8NGKL+klp +DWadl1Eh96G6oPd5lj0ISDdkEZjyzSMQ77KExS1Ap8CEDJSAoXHcIoHJM0DgpjMWUIynBvDcsKfO +4maOShUB0R+HewGBE/ATBoO2o3VL06qxCgiom0F55bt6CNpQ7SSwQzAC0WiTuUswjqwt4qbAY8Jb +cK7k+cxVQdHzrkhVh0inqmnN+voN9hSplYPAQbvCq674OBmDA8017uye8/IQOBKtILRKx9DOtSYG +kmWZgaTqEbCiyYx7i4xQXoZkL60WFsu4D5HpEoC0G3OzJPowED0o3KxvzppFszlBM122ADBiljhi +p+osAUm+o5oNdXF+HpYPahJUN+KSuxWwc1w7SqJrmhtUvASITJ+BmWgIpwP3Om2WrnwCcGIzAFdF +TwrBAurbApNhQeuw18jz6H9hJCYxCPGrInUVQzq9Pt9oxdBOzNF63FOpmKMRFqWlICAfz+e3M6KK +HRsmaBJUFc5eeSvgjG8lcFTuBHXRLERAkA1sUCimMLD2MaG7Q4A2fMxhTTBQmZM26binHMivT6OK +RUBQGJsQdiIGhMQh1AczXrxUQ2vRK1nplVkFkixSnwA9zxEu6qjLP/MCQoE/O2drzQUmycZBIQwk +ZkLAQgYcXpU5K8xQCmvdcfdbXz6GEL7fWXC8Ep92kkTB5rNk6SpdjyVTX6p1VRrAuF5iSfii0p9v +iCCCZhTh9fXE6fD9Sfhnwst8g/Z/TUbP65pkWHzgi4A+CU6MRoEXYdr1WHDLid4eLxiaQtAgiThp +8TJbxgZ4/8FpC0lqgkakLCXRpHqJYeJJxaidpF1tPCbWJwm0ysOYnCElxl0AnihdahQWTVCyMjEM +BCglUYzileeTroaAuNXn6VAhgfmmNQLCEpbVAJJzUqCwDVQT+vtloyLXRdQdGfcxfhVqf7IjC0ng +atYd1TWlfTRtVX0TiILCTHxZFUhhdMShilwpys/zPoW0jYZqRrRyXqzrFPstyfN0PtTwh+l5GIwt +SdXCLAoWV/LaAeDhI4++kg2lhZBlR0CGLB1Qzq9L4rBNyf6Fl/5ZVSeCzioBo7KhBGoC5RPUGXlD +aR24yvPUkSt5PggKoxi8Cdg8k1AHon6dBS0hZR3VynIqgYGSo1SlUF5+F/kHGIgnoWWXW73MCyyQ +pPsUkZt0oOMq8Gzvx/9KtnV/buROY71X0TIp/6xMWWhNcMz+0fDmFKi8u/HCUIk1yEbbJLhMgKuu +QCUX9EE1Aba1eGugGrNsmefAoYJZeGE7ZUso6Qeny9obBy+o+/H7V5GrAu+DPFYnbH0/fiUXNH0R +DwRxCzqYhWAcnhgQeY0NNQSsJBTQjZ28VaHSuqpg65QxQqsx0YpHG0YuUjPIxoJBtjUIsBXeqVFu +Ls2ed+i3JnBkIQ57KiSA0rSA0DhNEJ/i8LCKyyqk4LWlkWVdNPaELEAXWdLFiBTZ1PBASEki6uqu +gBe30lKha3n92RRzitKknKHfdkzQ4ll28UbtayJrJVGrL8wYsOKqIiHaDq/0cdmrcF0wUa2cWI1Z +SJVBoehmQIx64OdREGpZ+cVapW4uAvMiK2NFe34NKtTL/ZQ8qLXoq5wQmhdj2mT0ihXMGJuFC6c1 +ygpE1UMIE3BBV00REBhDFvFPKBiBjt9G1mQdWOHkJMTy18ryF97SmYvU5ZzNBGzWQCu6ZVCOSZ4E +nA0OhZTazAb0nhFp14mwypnGZyPrhABKpTJYnF6lBBVGJKqEgWu0fScpJawtKIPNKjGiBS45Ea6j +8AykJC8COyVlYhhZ1eV51TkwhDKs0qwXSkjGh9Do5RTYjBfXvrhxTpTtZqRVBnZmPgB3CFDMZM4N +Q5MWXXSCGfS18oDhrxySEnRqIqIn1xQofBeeLynbyJyBqwuKRfLmsoifiw4teZM+im82tBacgL3I +rtRAE1HHqBHXI6mpKI57n6wH3nvZPIJnwR81TJW+2c/A1JyjyPgkJV/ZclibyjpBCYxuNGRZJ+Ug +QO95S0dbDQdX87tSVXCyhVpFHcss3U7nQDXgFa+Ixvn1jtNkqQwRVmL/aB+sWfQfZJ2RtiDvYZis +b7CVg2Elsf66UuQEAfuROxY4qmeoU9V+PWe9xCMPYQpF2EoI94ENPipZELkTmEMUyBBFMR4ENGuF +Y382AZWtoiVLWsXzHk5f7xvxRQxxqFGBlXVXGD7Fc9j7UxNwRnl8I8QgMIjR7IBWXQyRAip4Oa/t +/+fuXXolSZrssF9Q/6E3AkhC1fT3Q1qRd5Z3JYECZkUQRcxgMLhDYDBc6N8rzc45FpEZkc153K8X +QqNRBStPD3+a2/tIZDO3R5WuXcklrCS7bvR0wGB/sHbP7GDHyli4VR3kVenooNRJdltGmSRaGRYw +tdJW/H4YCiPF5q67kEonZ85eIRTE3sg8VGLqhSylxSC8q4g1Q725rMAhnNCSZNMtUyfRnv1ORl5o +CXFk9sSZoaKoLw31JlO+HwwqnvhGjcZsDmraeXG6K3Cgjd1IE+ylk6WkmAlrNLadVbvggdPstAar +nvn4fqbY2ZjEhgm0HXs7JHe8rIAvTd170cxlxzrDjeTUCrEp0/boNA+oceJD1hokSiF4SGAD+Qfo +tVFGScZTQFvkv4U39EE07aXxmU/ZMfJA1sJmDBfETP6XWUH2ZvyU0y1PjnrZQwOtTdJT0vO4EEcO +Wu6ZxKGzmEJOXmB1H/w9JZ0FQ8UnqT1tSsV5RLfGlcTZKadehvUL+2DJib6QYYv/ErmuRnL2NXNa +WPNdKAGxmFxmxJ6R8uvkYjwGbU0K/BR5JFn+zRtLIozprPh8OyyemzXimmQ8Rl8kWzSgNq76gBdi +LHyPIQg7razJ09CoxzzIls9d2S1YthMTZIqCvHijNVn7igl+nK4FxNNkaukPWBpLyqTZwtxQBWMK +Q7RUJz94VjZrDH7LpTwQB81ThfVanUgLgWVP4B0AtWRJ565K4vd4RlymWfq9J4ZDUqqtRAdtFllB +4/erJHEfD7kEsU5y0EFTGiYgRrVMrdD3xX66PT4cKbX2bgbwFb+H78S79dJVvoIdr5vJxv4EOFEt +TX5vK7ZgkdcNBK9/cmMLtCGTPTxYyImLEqz5BMfiyYCN3n7fIRA5le+N5YXNyZZSUQbfTCe2rO+7 +5Ue/l9nTlJWmT3k4IyT5XjEvk3wGR5paJUtbh4IxYHz6DHLj0sBMiC5y4ZO3zXoAoja842qoXwse +wXo3XphpeTShzJRK4uwjn3ZRv9fT0Fns4EFkNCAekY77/SCmnnjicsvHAHqoAe7BAA== + + + cVUK3N1YOWi76hjLVIfBZimEY9dYF+jzpv1t3uPppdJwjTxkFquSCi9cW6gMwRVkU+En+H65aufk +4gVOvCnXOrMA2x13Etuy8H/cmiM2C+Sla+umEk3ieIZWmTnIZeklDCZlcrbG5vru7ec0joUKLL7o +ZQ2xzwX7LR70qr2UKtAArEjiWlkCwdItWah0C3LmgV5WNmJISsBrfB3AoWw+mIHLvAsanJTNsSF1 +mqsqS4qjRdTbdin+ZhsGrZyUParBZUKJYKcwUE1Eut5+/9i6XcXFMjMQcVJXkbyVUZcMh71Icy8V +Ve1AjtuSV1y3g+dl8efL5zSOKlfbY587auI420tJZpkUbxSFjWLHq5KW4RXNLOgmrpniOXpIvnqj +NrhuoZfr5usaVYHjA9eAsbkgD0lyEtrWYVjMDHMHUQ09zuiDv2/qdA4tYgmd85DOFutbgchreBnU +MdqH1CbThUVaabRDDs9tOo4+56E2IBs3DTIVm3o8tcWDNEHT8335mEaR4OvyO+ARiF8kS/V9vHsu +BVmei7QVvX+W5TVki54mTUHi2qEqNLgcQWxVhihPhgcxQYLoEGfxey8fTrLrFE47LOQW1Mh2ORed +ZHHzydhNktvQUOemv3TUPkVsiURpW97vCt+qc+lP9lvJ5i0ot2lddu1VbyLEU0vWK0uGtIEgTSev +EvKGeJsHOfBjXW9POokruW+9M5byKmULHAgfy+SXIe5ctlX73bRk5v3aZcXV7Y0+MWj+Z0GyJOYL +OnEkeco2kJgoCEHiKAaDRPGKjzF63VOX/2UAHJnVBqUD8PFcpsGRzRkes4pgahDDrpvcJQzakrtC +9ZXw+yFjWmup8eCEsbcmqGFGo22rAjhaZ0GGwweZcogRiyzIHmF4N35NzPRHmqE8+vGL1NZknYJd +5UFMJmnQPGYbAhqFI4tganzlrBwElYTJJH80pQdAzkEnThnHGMfDpuGIhPHBidywPHXHrESFHIZu +r/Wfj61BLboB2bLSNgeLoxNrkQvYpQr9fuRKZ08h+xyHH9UKYo9K4pa3eRK6G02r/EIuP39yVgj5 +MepsWtI16ZgmT7YSHZXnUrUWsVBwgZsLuacRfW6o9+ZCotSM0vCk1SzaGvrSgmPc9znRZLDxxIJY +moiwPYFIHm/+q/h55/OxaQt24pyFi8KTU8I8vBFSqZ83uks33kq0zUtGWE/LuDulOr1FMRmF6SZf +ImOvbAVWUsfHAoK7WfHHApuirTVHVcWg7ceDAzAXSfj1M556+3nPXNNtwtwHvx4HZXtcPD5eYvX4 +QFwGz1k5iAWE0okkqi8d68y74mFUn2rMwzbhlPi87+MzOi+b7kW/sUffCtBwiTl60Qa5HPJ524W6 +nqHH01b8RXKa8p1mnDGr2zN08xDGDGLmGARXDWobHAQg6/GpoTMK///d9z9iYHzajK23vWJgNFFa +2F7DTnnbzLZlFY1sJz1BeaxjaIwWee6ALlG7PgbspqFN3hQPPEAHI6IoNpxoID4escV1MFuiES14 +KnEVXNdHB13eOgowoMlDs2WSMlocQNqkQZZatenpfRCbolVsUAOPkhUl1fnPpkbh903jt8WiNcma +1sHFcvceiPSF2RYs8p9R5anz0JaN+VexBY+WwQNo9TS7OnVXvDqAuc8+taX/WU3PiLeRiGffKiEc +dMiI1tLtbCYauDQW3Y4lcoHEYGCdcCUZMXO37d3ObFnKPsb12KQMck1Tc4AT2GgZhoDBSmggllhY +I2eSh863WRM12OVxGE4kvyw5ShxgYgjZNNdGLxosIwPNXeNxu9gZuA/MXcKQLS6XvDBpUsocLZxA +ltsCg5AB5y5/rt1j00Sk+aoQtC5ODCwnpSKPBMdwZA2hJx6DLvuZZeUxFNdvR+aRM0M+T4fZHdwA +aAH1W3c2Z/mGRlhTjEzvFsNxMLGll9DnsHHp1snl5Z4zEI+tOSzqlqgJ65HvGIyY1rZOnQ7aPgw9 +puvSqFiGk2uNsxzKlbVGNIUd/EUWsRTPbF3oKF24HE3XhmFMwW3jkH+RLD1gWySEtvjS+jO6kUvo +oe4MycCG2HPEEdbUo5uX1uzGy834ybTE00zN0qiIp7IsOvPPfZJMSdCyH9baB9kP54M6cqtBfe75 +M0z3C+ezFhwZme4X1E7LaquUXkxXWKDNjvNtSakwHXjyVJWgYBmizmWsbYWcOcPoat8ya9vtAPQw +KeIdYUmydjkOi7wYc2tjLo0/o5caG+/6mHppvQfL5CExKajxOOWUBom7iF96GYAPdnCwUdTsxthq +nRIZq3p9GcExwc2LmTzG8Yu8JfXOQXi+kSZIo2DxauHjID/1oWmbU2dEVOvUeUwRwbVCKLW2HPVi ++osT6VL2lkusM+mCu2epqGnX2rs743YAmnWO2LYNh8YXyTO5tuOBjjHtfFI3XB3+vO+E8zZAHvq3 +Gyz1XyTnDrtcC9dKt4qvkHobYkwfNAvqwpNjFYX0FltSLhhzRwwJfl4w4C6Nz1E9EtvNLPbn9ZI3 +qUnfFj/qiITDmiUYXAuRQn5xzQuiLEqH+M0OYLq3GfUk4svsueiWOR0PjvPPL5InpZHKQE8nUp22 +xylPEWGSt7CFIuOBNS0MURBbtxxqxgIUxiM7kdkbVoYC0UEg1wg8QIEPk78sF4wPMXXBJ9pIQ9vS +5dX18ffOtgzIsvFX0RjOVmqETTm5UJpq4eq1b7kEXxrM1KA1bmxD7p1+z3i08yaEc7A0RsqASHHa +jHCpxgJMncA54Jvrk5Y1/xSuqO8fjM0NYQhafwkMLRwVfUq7cYEhk/bQ9LgmrZ32TyYdxY6iU1iw +7PcVDrvrATrUB+fdFim9SugO0FUsv5Uev0PIrys+ZdoPbqBlxa16iCEJUYJ1h03KVIeU2YFMHBMx +h0eyl36/2fSkFYWVyIg7SQZp5ehUjtARgQHVSjpXCTy1c65+BEnDvfBZjUNcyYtU945iULT4Wsoq +9/pl9XRbDdyoUz7tO5F5e9GWyYCiwcwwnG2YdKx16xQDrp18BgOmMdRSsM0AIAZcEBBn6d1Y8ixx +0hIcaS0zdB+IV5712LVkmY7PB1VeJa9S4jK5FaygtcAZ/SYtLL+GFDAk4iDZ2h83L+qGtpODKoas +1PClncOuVCxUjQMItabIhmVjlUDtJXzYss7YMysGALmpAqqQzw9sfbUeO3lZQMqSVtYGbpvKmq9f +JCM9yiqaWPgNaJSejUh1xW4pbm41g5WUfLt70JesLd9Xv+VuODDijGueEQDpJV02A1IMuxfco1KP +4scgmj6IbjUFURJaRtiwnj+G2dUcqqhNS6PyOgtcAfikawIY5sf9wvAstqkT5pkSlTKekzNtl7or +RlzKtciQKNvky2q0OrhgbZ5yjDzR75PkIntqJmM1Gv2TTHO6HZWYHVlCYRQWxEDEnjuv6zp2tOYa +qxg6y56IB04TISNWAqQ1pqvGFTF7NdmXDNcGoQpTVn0yx1p0B07tDmuyEZe46uRdqhKkjFOVdajC +rtBh/LlJly5IVTH+NWmlOc+d69GWorWMI9lIv0hecNHZC57lVb+2ltDGsuAQr8w8/0VyZbBhR7Ah +iE2y0KQFqie9oh0qJQ5dDieGaW0UJJJj2jsNKRhO25lSlxDTnDpoO+gRG2FDyl0iI2MjrsNXeFpk +YbkJVUL4No+VFAI9b9s8x7KL78qotZBvstebZnzaya7lkXmg8SE7GVF3D18S7NoIT6MEg98z8MSq +3g+a1Xhit50ipXulLBfhrswf3IwN9h75jLulLennuypbzi3l+vlYLQykEDk9PKwo24u8ZFckaKJl +VYwQqhqrbYeXdBeFLLtZHy/+ftLcwvy0w6tspgAPpX4Q82lYm3Y5r5qsFBSTjvH7bJAmMjowoMpq +AG0RMyOPrJxjkU7jbC8GUBlCTJPvznT1GGnAYWffgVrmobJyaxkZwlHJ4Raz3+PxtrYjiKsoVtmf +CHUwm0x19KtYOdpBWUEyrxdqrLyuXpZSPx+Dti/Zzh4/n1nETSOXbyrkyAaE4w8ev0QbstVsGDpB +A0kopYWCZceXZk0zsPYdx/+hgFAW1stndyKL2GZcH4aJ2KeGtIattFy3si18a4Spsh6jGmEVZQQ1 +fj9PCoZcYNtKR6lXxXhZtYAkqTnFBliYIVagSB/cqFoGYW3xAMTbZGHZq6z4PKKLzJbGF8NG2mVK +G7Co2seRzWDnHC4UkDsCku2s9a2BlsjL2l1L+sK9xPUtkEHOSs/BBte3mqCNT+lkxIi1pRN3sjoa +iHXz2Z5b9vpW5ToZv4eRy4jYbXugw7NjtVSqEp4XpXkrpjKV+GhF8pxooSMKyfOIfXws/R4BcQr1 +bCniTazeoNPqxsmBy63pcTEdgnlYi9Kyld1SwvSGY8Iq1iQ6W7MFsum3jIJZQBn1hnRrr4hbrAQb +gAVlH+NODI5bKDYoorJl3XgC4uGqLEwfx9eDrbvd9pP9MrHBXgBGWVgBkynry4lIU5tXjigxLjpW +3EwGtd87LWG9Aa+2wa4ZrFIxjs0tS2HSgYLYsnLlPeX32NH95O5FB9mS7Mlsu4zyzSKSZOhTNGIr +KIdPzl51enoEPXg09gc7oOzqzhmpV15xTX4YCvUt/B3uHBpFhz1Ssd3y/MHb8njFaB9DQTInssKG +WdIa7PfX6yY1MSsup0xYm75IVorKRL4RiAWOZ4tW23B89SxHoZVKW2EVsCcEHuKFmhIgdgW2YR+7 +vSNgmZQS9WtGytuXGLDXrXJm5+c94Ph2/B8hD2oGA8xc8mBe2LUR2lxPzBMvIxin0cYi8SQQJirw +Vna0heymx9wM5DVkzL31nVWpRSXmZxSWVWGXyFSypj1+/jJ8Fkn3//7ed98CqQYlZI9s+yJZZkoi +m3/et/6MDjM7bOSd9lSYyUUsuUDpsGelI+T0QWyyufXOO328v6a7KADfDinfigI/FX9ft2SFJtrz +568zTqgVyHAURSMYOYu9+6Z8kkmtcNwLmQHkrjITXlbg877v6/qYgLOZd+SJMV8kM0UroUKHeMZD +3JUJPqKlr31QfzHVa/LzTXZ8Iyoso+kpYZTNlOncdLnCWB5P3hCLJnvyWgM1mkaEEEWs1w9/HONh +mvVyCygG5HnQysCbim2/ND5NipU+mNSsaTGrzNgZLSJW3W3LHF9p/TFiidiELvHZ+mWAIuOCOOOX +mKIaRQx2JDc6tUUJC3JY+3HED8iReB0+F8ct+FXpxm1SeimHp64GIylH9ph5ZcCPS42iCfX30GuM +ygD3ioJJTlPNBfqJSVQZBNc+9POcFIjuJQNAjJQ22RaMAzAqobn2oJ+7kxJNI6rKyLUofa7jlSol +ci+IRwfigN/VY+5lnvDMRRIZjulG+fg1bANu6W+R9jXjx9C1Le6UQom7D7KSzlqsqJ49c3bnY0mP +3D1dA9c6FkNExb5MDieFMdtOawxgJhgHiYtJfqjq5LSdlBfqTgT9/qGJMhJUsS62yw== + + + LGA0mMXqRBW/Gajm98ETxcR6GwBNfMWDQpVJAhHTrBY0Nz0aRvxHYQBqQ043TtSQwzsfNg17j5Q8 +7mHzv/jzEZ8vNIiW8CRnuiFIZBUR5tzp+zQztLBC2ZjILMK3cL1QH2HcazA0lI2gEhn3whaocGSz +2EFQrCnMCkasMofWpRjfNlG8w8mKv3ScAB+ttdVLNQGcgF4hOZEMYcRH0NSW8pgNlpad6wzEYbuc +EZ68I8NXdUsRz4wzx8/71jJ/hqHQTFRVhq922A06Cifp/em7084ljGGQmXPQWVyOUmsf6hl2wevn +tFM50nq7+9S/glpo1zri3hq9ozPp+c0ITIf9jRkI9uPJ307GmV4+8xHLkEJe81RSfX8UfH8gmCSe +YYYPnYzDJnXC5DgRw8V3nOLUOQTWHn1cgsJgQRAZ1GSnY0sjUGz0hKnlF3+/veCGfarE0kpZHigh +BqLC5QZYUGgUeAGNnBCD6npKo9Col+26MHrEitVJYXaGq69f4vdMNnZshHgEknL9rALw530Px5nk +m2FisnxPRo0xDwS+cOt3kficxnEkn/tg3x7cXAdqG3a5C032yTuD6pzwU42jEKJS7W/6OMat27FQ +uz/uEvVSy8hp83KX2Jrd+JOpEnduXvnicjEksyIc5vO+8WfsTwkZwT0Q6qWGQODmZ+0FGZ2Rsw76 +tRP1niPHgF6pL5L7VMG7NHAGrW1TFD6KWYG4JG0chgmzByYVSJI7vMg06Z1SsLkM4DiXynbpcKJp +3iuenUrt8yweFLrJ7VRmpZXkJYupNeUT08NLYsQu8aAwFPs6gI9jXydNQylcqh7Vp7REcX0TEiji +Dpaxhyx2+rVEBDooPLN0qWGOfFe3PN19/SN2UlIn8V1jJyOrMUcc3rX1cdzUvsNRGoeWJbs6hEqd +q9mjcoBZe0UerBvSMYXP+7514VJw1xUlG2jd6rxwXuwHbWVLXodt0Fw5uppu3AlLUpH5odEZYMas +1ZnBV9uSve5lBIcCxFRLM2xEuIurFDUMG1VmO1jjrCh7C91jJ3J45uCAOmUsyWrHioD2anS8JNeP +H6NaUEnKRnRcLBgtxzuCGF2lHZQ8ymGfRD69dxABuS0pZ3FH2Kn/vvBbyQJubgfwEVvJJ7We8+9a +Ch9zZml6EHG+HZkiy6Y38Px50fx0bGWPfhfN+i3JVWIfm1kH5GUEx9CoBFit8ywfmpG9lKJ9ry1Z +Gxnt6xghRUSmbtvvI7no2u2h9qK8VwhjScGvtYABSm1mdLaRI7Xg/POjxwnrjX3KYoiPe5IYDOlB +JOpgwt7tAzuIz12o7ynRy7AMitJKq2WpzhgzXgKPRUnaI3pujOj8trKCxQdNBcxKsG5pi7VvbW6b +QsSv3/+Il17qt6W06xk9Sjx72cee402nkdb+Rj3bbB9Vqey7QqQzWQHBG9ZVUt6h+xEmyY3WVI8T +UNa+1O/rwI6nC5nYHvbVjhebeYbmV5IKXyIgr7HaqhPpwyyEGtTTJUGjhXHCw84nvU27xdP1PAAt +5aJ45A6frfPjca4MqT4y161xkifomfzcx+cL0FgCeuNRwPvxx3//MeLf/601w//V0H3XOugOkNDK +a6HzIHeDVZupH/XPr5QXYDLUBv9b4sIAJOf5o1fy57+QLNi6WrxIu5cU7MQ7tegMx4EzKqHMPf9j +bxBbBrLHoEX3IP4S7p2Xv39pu7Ljg5975dt+DODjXzG9yyzc4Gr2js1VfDPPgrhdR5F0gAH1B7gk +J8+p+Q+HkjLiJmbxaf4kav4Ot/LUtBNMkZ0K3spRh/D9TszL66Jo9jcL+Gapb7fldgvv9/pludyA +bjLP5IJeVu6LSGhAh3YM+bKISG6Bb30IpZug6BbWY9GuTmyt15eRk/hLKzL2a1uzQ2E9amDFPIhe +RpAjmARxvq705493m3K3eW/2+fZM3J6ey3phRVt5yI5/e790WtFKrNSHnPx4iznw5MFjjz8TZvmp +PizYxsmDCOkO64TNTA8lO46NJkSi1tkdVM9tBwKnn3tdKGSvEXCZJ+zGHO3WaC+bIvLNBt5u9Ztj +cXuEbg/bZXWx/v2hu3D9X1f0ixhiEzgeA/gbn69UAbsYrW+ipQM6AEQz0AJCnQGM/q1cHLvIjAYd +6DqjIEDsQTwgxWPiQfzFlauAdjm3XYiPZ6+E1bNs3yEQd+qKIK/JwRZAiBltO9ivT2uWC9FXAL9/ +3f7Y5+tJuT1Tb87f7Vm9PdWv24X9nGYgOx7Op5UTy79Z5bv9eLN3lnvRHLZmozzoTwBQmnnTUc8f +omoh0euwPP5ixzT32PtRHfNpN+RMYFR2/JfLmk9jH7HhxDPaghVcjgLkndTF/R/VEaKeP7ijs8Zi +kE70wvmYReXVe3NWbs/V7Qm8Oa22K49nI192ZcSGPE39bnneL6X5aRwxtw9gJVo8eMb2mDGQhyVr +tYjO9xFHATe2sKwEuDdggrz2W3/dDxLFLa2S3ktbX5j20uuIWVnoQRrBLj329XmwXuV9vUzrzd7e +HYPXo/J8mP7mx3UrOHrJfjcLcLtU71a1E+u+GJwmxYkODO4MC+VZlgui1jRtIB6f2jIp6bnXN2t6 +u/63O3Wzq38TcrdV0nOcLwsssaAwrU5Nvg9PMrwl5m4X7dVaguTaPhYjEyaQqcWg9SqBy+PYD6LY +4TMVNM/0e+7zMtqPqwT88oWQ9G8GczPqywxDVE3OTnsDmLXWowPSrZv2GBN3GwWIFi73PC4SNfPh +KGXnpoXiAjotutpNNAdi/rjfPcmht2t3XeSb/XgRgC8T/5JI0wFUZslEtYScmTmfwUoZOH+NNMAq +PH2YRC1H9St9bpqFzu59BpIwUc78+/Bd36ySluNmQe9W/s0m3W7o7dZfVusi/l4WTuvpKS1Odmvk +J/kegQQHfaYhUHZ/TB4vhl6kmR3erAsN5Wk6JP7iIq3lDOXcNsG9e3RpCM7AuPNvlxKPUSt1XUZ6 +2ZCQ1K+bd7fLbw7E3dm5PWSXdb0Ivpe1/OKrP81S6dh69BK/komMZ7Th4o+dCC9dBWL3l8AKEcxU +48WqLlQ5EG8VJjUAKC2/aQIq8pi3iNojj4l4asuEVvZJjNspMc0+P1BFB+TqvG3UgKX03CMHkDzm +9ETz6eP3l80/dvnplNwfpjcH7/aQXs/yZaMuMu9l0YS3fV3fu314s2UWBIzfm2ECyKmmAPBTAwG0 +6BRrMwAwrAd5WYae/7zMeJCLZUj4pzwR8nn4JGrP60zjua3hu2eHcz31arK5Ree9jKAvmeJ8rH1z +gzdkL5tVhgT87tTcHLDbk3h3al8E4MsctUU363G7crdrPOGXMw+kGXhlXXoobH5eFlOG/ENaNyuu +lXq84zwiFh5YpKOZO9E/NVrrLxMkUe8TeP65aUa65HOfKab09PkEB+/TULsHhA9Nqs0/2uK743B7 +cO4O2SETX6Yna+t1Je5W7M3iWqEJtF0ES4RABW7taNtDgjKkS9K0uHwrTi2tEIGr5ecu3yzu7Ubc +7djN5oZAbJGWzcdrGS8plbB+N1f5jeyeMli/F7JpXbb2FAKRa95ULtwWCWJr/nJuy6vNInaciN2Q +F/CLHUxoEhYCCFRgy2AclcRdgS99He6rRNwSLpIndnXKwy2L69q4G1Bim2U2bY4lE7jVQ3yo8iuZ +6u6zmvfNEO/n8mbat0t0u5gvC69xrX0oa4n7Ab+j61AlQKXN4w1QaVNAD+LTar3Kw9cPaD35diyU +RPskdU8HqN0pUJAtDqonau4JurCHLFXqeIde1FimCDoeebcl/CQprh6fB+LMOJ7G0KUfXDZPw7rd +55sTcVmNP1i36wpfF+tVHL5O/OvHuzW6XczXdde0d3P+tCweObajmjhoA7fq8laXSuTpGt8y0M/Z +uJ7FIi69B6Q9O3E3fx93AuIW1sMCTormYG5iI1roWeN6PPg0iCvMCzVy89Bv7ty7krVLly0V+Wb7 +bw/KzaF6FomvE/r68Xbyd6t0WdAPLsieznTXEbblS+KmVKcSWd5olm0JYupdxFFBc6A59eoVFB/k +DlwufAlcebFYpxEnKjdy96u2yeo/NC4H6iU+3lOPUKVtLdOK0s1Ux+OdtuyhhjADgxtLORoxo4Sl +ExFp4USrBoBbk2RBuO69FuXmnNyeqJvT9ywWXyf+9ePtIt2t5v26D4TTOFlI8G3qMq4CBQJT3N0f +cCN2SZXNYC/wffPbZ7WlncVQHSw+0ojbAfx8oK5p+cbZHsGCtlTm1Lcjo61xg4EJdEt79Blsq+kj +w253MDKu3N7Q/3tF9WxfY0TZvNv5uzNye5ruTt6zWHyZ4dePt4vxZtlul9jqGi2RaSD1VHpdOC8k +j8PpgZnY5C5XrCXou0PCP0Y0ekvwT/iYAcByjTPCJHysHhKKTcqykXjFfkhvnT4oJ+qU9LCwLYpp +GIEVr3fru5WZr3uxrcfQ+4KWUv5wl29PxN3ZuTlmIRlfp/f14+1S3C7amwUullW90DYl6mYWvoxe +W0inBnC/cA0JEPyLh9gZjA8s9LiG582JXs35Dxb4djNut+1mi0M+NvyL6jzfqvKZtuILtJas1G6e +4WPlWAaStJdtqsi597MADmIai0SA3vnXPOjJiYVamD02JfRcezBBHBOaZUf+we1gX6Vjgx5xCcV0 +BmMNX6Q64raTE+3ohglD3VUIcQ+i2wYHiHS43n7488cfDPJ2OjcTv12iN4v5svAYVncESWhTtTIO +ZFn9jEatVO5lB9ChMgVw0JvFepWOL/1jNQ2eyvnqzIj/+yS5Db8pVoY6Q6RYXoTFu9gIXjVi8fQm +79bBybEaBTkrGKJHERsQPArFO7EmsNJlhVQTV9hVkI8ft3v3+ePtPr85Ea/r8W7l3izx82q9SsfX +hdN6eq0LJ3upTYzb4jp9z2eNKD8nU4WehWVEnegh1uiZJoNl4cKLCvgOJ/y0KiaT2j7FB4MM6NCr +JypOG5G4zU70VEoss72fWuZD7L5uSsziuoG3W31/Km4P0Juj9rK6rybj64J8/Xi7eG+W+WVLPrii +lnRiINYIjv0kNa1Jcs0QtITNACIN6IbtMFyBM+KQ92MavGzycZkfcKiDtv2NeQxBg51LFiMrom4C +B3Z6eu4Zls6jlx80B5ukscWxmYzYIPP4fqwiC+r1AMTErofl5lTdHcBnEfc68K8fbyd5uxxvlm7q +Jba/ZXZgx9UVXcc/qFyOVfzFdUyD3uL3CYZxqwNrPYFYYPkwmDQPv/dOGUNh58S4OZbeDaM4oDCR +TK+4Q8PZYpiKVZ1PfhEMe4AVIZ3sdR5gOqOR1oq5czcWkTa8V+dU2IuUNP7Lhn7+eLv5d6fk5kA9 +S77XeX/9eLtGt6v5ZuUtIgD3bobJaVZZIqeVFIHsPKvk+DlVQcN/73lf/i0UKHQiFTB0P3XoV+Ih +O1xUtqJl8uJ3Wt0ff00FM3iIpZNM06pgJS7BrFkzsMqyGEEOIc5gEIYbBeyfvWDT+w== + + + 3b89KdcDdXPyQu69Tu7rxx8sxM2S3a9ugSbpTQdNTbY4rYLmYXSY2kBo0uxeIf4Xz3Uu/nTMxlxk +rNcuHOrwLIT3a3u7D7c7drO7h1E4gpyH8ePaXkKiQS79NST6f0G+7fn/QciymVLn4JVWFTMnL6hJ +dvsKREAv4zlBm3TsmYU1DpBn4IWF1aCG8BLyPTELqyWaOtEjPUH06l04geGBuA74nz25B/Gv76f2 +Gsf8ZvJu7ZucqBfBlD1T55FZIyCm6bq4IZoULIqVH8pu2bL7dbZoegCSkx06DkTeKsMKSWHlhMxi +p2wOnrLrUoUX4G5ZbzfgzWbd7evtAXhZr9dA5uvSydTnhg58orUcJtHdOXBgLDoNoaXO4jv4vtXj +mS6E2f3KkyKwp/WC+5iKC6bcCNrpN2xRXbaaQAhOMlbTq4xOl4WWHf9uT24373ajbw/Fm+Pzsl4X +0/Vl6bSia4oZn0Y+0QY8eq7D/Dc7ZNDEtEUY7Erl4NfAm9g6gwBNwmmLoSlmJG7izwBgdWLz0IXJ +GGzSWqEcmcOPY3uyIBg/tJacZRK/7IrItzt4s9dvzsWbM3Q9bJfFfZXNL+sRts7r0t0u8mVDPmj/ +8dBbHAZkKINs0jzJ8zCepMW2WeYbe3E2p1NyUr/EPQKLqHBkNosenYvHOXPqEzBfvvY5IkIacVnw +auqYD+R6ukzkiIzooG0PhVn2UY2gTcRwOznh1bSiENVDLYxWp35PKd6w2ogTCTtwcm40Dzyeu4MV +5JszeHNYr+f6YtV+WQ/ZTK9rd7vK73bEoJIgRiSUlvkJUzH8SYYEReXdDGpDzMjUUP3eQ8wgTjHL +xGyu3QMUTMiwdN+fsM5SwOsYwC8abVMD4xqAowDRU9t8R70IEnp1Q6Bvk/Btva0DBzsZdWa4LoNb +6r/6gyNxe3xuD9rNobxYtl8mKcPpdUHul+5+lQ1jY/L3aSPUt1vVoEE+pPB5I3a3xpio2sLwaoVT +J8lSBXpBmWUfLEpcw4CcOubtwbcybEuvn+EM61nWucfCUartJRZgB2gNeh04Ztsr3OPnHhyI7Zhh +rn+zydcD8e7oXI7ZYdd+ndzXj7frcLtib1a3OUKD//7BWCubzgJdWgXjYN4flRpZMT/XL/7eX1wo +dXQumQV8+ml1wEp4et8t791O3G7ZdXdDvN9WTFDO60M3NT9b9aXfTGImcbsxwxzdVh8DRDpCzZm0 +9bq6Ed4C2ZcU6u2PCqg5STjYiUEq5kXcuHHmxMAuuL8Rz+p1oL9eJOfLB75oOK5VweJr5hx2+JEm +yY1WD/MO9MnQdinUhoG75JA/EpMWSmnCsTZpq3swIE+CMmLH3V4EHYLLJnT367JpOW6X+HYzLuvx +B2t3t8jPq/UqNl8X7vAPFPnbpeCZ4bdUrVxDvpQ5ceCxs5j+XGQOZkqBSZR5h1/jwQGdS2+Ea4DI +eNvHIq7ew9mR4L1dwum7XebPH+935G7nbjf59kC8OTovq3WxaL8unAza7tCG47Uo+W892OSqJLcu +5cSMwUMrqphO800nFwdsjlz6Svu6hTFsicyLqUu+di7lguhl0dzltflqriZxd3XoX3KiMEvHvCy7 +HK6d5y0R+Xb7bjb6/ky8OT43B+11aS/W7MtyygKXugIbSuQQGKbvUC4KoKjcQNsyNjix4jHM4TDh +mefWdl3umVzl1KZ/3WiF/k65tFdGQQD3XR/RfNfFl3PmdqNutvR+9+/Oye2BuqzWaxTydd5fP96t +0e1qXlf+g5bS0ao43VLQv7+wuCTZM3d/wvgJ4WDnsFBb1cKmOClLG1WvCOje6exH8PAvuNcZZzK9 +lnHF8faS2uEFsvIKcEvTZkaER/d11wye7ADAiEXIgSUHnwf8Mu7hQVsTf1ylsKajy4OXtzNlgwIv +SpW/HhMxg+uJujt5N4f0xUB9mffXj7drdLeYb9a9Wn1qnkOptxNl/HwwXhEOtAZ9ZE3UkJB9WpEH +C05KfD/Dj2xtJxbuQZx1MhjAhxJOnVR4kR43Sl6I2QZ3bsgG23/voDDqnjPtCKUrhxPBXM6ZRGVV +vt/3mzNyf5gu5+4wT1/m9vXj7Trcrtib1a1xqkwXKrIPO+qSj84Lp4DoJVmwjPZ2/pL7IE3GgChC +xWH8EufcO4n3q3uzDe827HVz/+bHf/ifjwX6q+c0lyqLvU00RQLcRITKQf7pRnOXpHzwYQg/iERy +/vXjiWzjoyfg6HWq/v95BCIivDvBM/fUtk9JaqdeD+LTCE7kY7RHr6d5XdcAwv5fcYG2m7Zsx1NV +YkIC6iojaainLZkTbHM3BFHHEMLzbwHnacToGPpsfihqPZYsBb+cuSD5+nsu4qRtpFjqNdZnMEza +VDGGSRvY8a50S7phAkRE6S+zcci0adZgmEEtrIFBbo5zXDkrqXKXBfCT9F+Ow/SUaHO3Vre93n7/ +3VBvZnU3/Tcrdbeqt+v/bq/u9vX2BNyulQ6SsRy3idjslqIzhnkcJ9+vWIge8ZI0gqHzBcOzEW0Y +mF6OgbQQGUcK7lgBk/TTs0Ho9l0ZKY6YnoVdV+rPcRQzctqhgB8Jj6Nvasp5Rr0Piz+VNzxrg6ec +81PF5O7W4PUwHQ/s9WOq/HEd2O0U3kz3dmnuF/HNgt9uzu023kz37dLcLuLNgp85E9NqPBRECYot ++tnwDaFzxTYYImVRYiQCYoxtGgiQZsfKFo9VA/CKd6qVKOEytuWhYlPwgisvR0tZUP79J/P+Oom+ +FyTyWc+QC3SgPU0TBuUVWc5aiYdkmLbO4/MK8DTpBL1O8Ov/BxP8t27x3/zby4Q9Vwn7n/+SSmEt +GWwH8ZA3IjhQKM3L7eYT+fOZnAvkmM/nTt6Qj06scJi4i9cP8/8estXfsyRd3on18txC8aWq2kv4 +h27e/ukFohcR244qc60Hlp4Z7oSv8USOcpFdlS0N6HASPKWDcTixj4DZCfgxA1AkVFIbKMBvQItu +PXXSKAJ69FC3D1bPnnnw+48jiU8ZFDOqFtYASzMz8FSJRM9z9Q4sVWGydCOwSeqpWmEtqP7Xu2pF +e8lDFSW3OOyhaoys+dqLsLvqgXLRDYZeHz+gTVIgaRfHsv5JBBEBXwq5yTA8ihbJi7f/4u89vcUX +qiaUIbWQbBa0bIG356HLi3jbo4zODjrEcMJfDuDtWSjgZlvPIP0JNPmdVPNxN66exYREfUjHd3oQ +PdQQ229yCOrr7qJa7Tqy3oGp8qi1eMJBBVKZiB216s0EhpLUlmSn42M2ndoEzlpRbtzzrzCDhRhi +dkqkzsfxSJPFfP1tdHDHqlfyMa3Yw7IR9vUToKBAQCrIB/YlHFmlO73eKbDOTBKbg7/3hMCfwEgm +Eu62yqnCPMwCwrC6s2UBq9STzllV3DEwfzpO+2isH95rwMsSTwBVXysxEwfSAFlnmpCxA2ZlEANO +015pYKZbHdrWA4o2ClUHPq1VhEUl+PV7D6zTDcghpwrN2ohElLZiWakE0ZlFWRj0L3VQWEe2sAKr +1yJSrXsiyJmLGfWqnVZ5iM1X1tWyYaSmaWYVrJ0DtZBnAGmWHXZLJ5eu4rRzA8jHlc3BQc0VHdSh +EzBZhedxhOwdA6RqZnWZlpIHXrGgKqzDj1fLipsLl9b9Qh8/QF4BYusm/AfN3L6VaLcA/XViGeID +zsXx+xpgxFYHzXbAiYQfM4ZtljX8Prilq9D6PYF5nA+Z0Zrf6mROD22kRgeZFVrdgfnLOkgLXMkx +DB73xQeQmqD5lsPB2R3cgblp1QYR/vAgLx0A5vb8BCwdADPssHpiiIPAEYyaqRrgAQNyCgrjJ0Cp +Wp8sajqiru+2De5EDHjoWxnzT1Ul9AdtFT4lwf2Zg78v7l8tAvF0ovZPlZ8H3ptPknmHB1U3bHVf +0UNTt3xwDQmh1BbdbrzyjtNR1HZEYddlJwREzwcCEeUFfwKbLwlsjHjgZvDrgyiQu2CxLJl9NAJu +dmoQwKlHCWMDcpsA8rMEsRpQYWvqdSaIhSPhCLDFHvcZSDyHdMDKsul43Q3enoCRDrP5iz/PhEGw +WAW8AxbKUpvgpyymi9/HS+jELZCsckKdPrDuUztQ2pcWQKyhAoXmF1njTpVkIW9biNQuz9VyZxXu +VwPgJzhL/p0M32J4u3jgY4Ks1kvGZnXzNoEwvFoL+KpZSFXX14FQ8LKwqn7x1CifEQuDYPdtlbF6 +lvmbhMQhCDtDThAyhWM+m8AXWImGnlIJLGGXoRJXcqpUcAoI2BV81ThNG6xQf0CD5gPuZwQMZGZU +FNtCYDgJv1bORnj22cQAAR97xijbAj3aCipDuskOAkTgqp4EQ2Swd4FsCw4GzJqsBeyTdac9E1KX +3aBtfwnyo6kWuiDeLPCAgB8L9mxsQZ3iQIY9hOM3A/J10kgMoGrcNccGwXtlhzJ1PuI1cB1tZ4uK +vA/g0PQOj+7Tc2uxCUSc3QoS8VshdmtiTFRMVwly09WwLSZrbkLT7Mx3udBhR67eXzAR7EuFJ8CM +AljUjXDiD9bX3n1w/RIBnxyqqLKtx9yDmPciCI6Hu/xiBwmIjz4CfmyQrT7G3ygaXdUb80r9b//1 +P/6nf/ynv/q7X//0d//jH/7bP/6/v/0fD9K/+2lS8+Pi53//23/8v//pH//uH/72t3/3n//zf/r1 +639+/V//45/+m7X997/974+W/+fjf9ggHgfVRp3Ji12+dv1pOWPOvDkTwtcKjEW7zw06iWnWgf56 +CB+WXph09VeXpJtyIDgvvmeWIkcEnTEEVO9BFIWYLo60BXmE4N52hTPwQK8T+K4V+g//xUdi2cKL +CHOrqGK5OYd6DWRS3BbLAmziIpWV/JcBiBXe9kzZxskpTRVjB/rFcjBnsAtP0ySNuJT23ktFsp93 +lWIfxJW3TwEnxs7SrpXECh4uWKQPbnywG6uHzAUuSyisvpZYgAnFzRhTET6UeaIPUHgCxe+iN8iI +W5jNqXfSegt44BK40xMiMTudqDs/oZTc7sCvb9phHN8K+F6/k4KYMpcFYc1KACuZRgJx1jh4BeaG +sTICcFfgYUqFDVAZ1ONyiFEvBABEECHoDQFNO3hc4iNXzbs0iE1CpC5HCSDMnMcDGNsyCMfNgW7B +nprGQFi/glRDEAmI5OL6Im0UIhn53vziz2cCwmpBhAe/tGmxKQRcMWSv3c5mnA8CG2wCsRwTtfz2 +ClSewiKFWL1YZ6+K9Ct0v8Kh+jHBnmj5CnJPsH8jETZlZDivnTohzhsZpgqjEVSuh+5rxMIdcZnn +gz8fIwlxZuDz5oZOjUSvY357fL6L+/C8DM4tCSdjmemZxHhlLZ5mcGoe+sz3GDBkjhY4Qq0vqZEq +0dckMgJ+VtlrLElzCJQwCdXeQrYBJpsPwDMk0HARXEj96Tpl6+JFDdmuIPd5oEUAn9PcQluI0ohh +dSLB1o1vhVnByV0yFfUf66Atck7hVNunShWyhfiWeYCDxQjC3KtBZw4AwcUwS3QBBg== + + + ukCCm72EKpHllvTrLqxtB8wol/veR8C1mEEx0AV7gBoTlbszvAq0VcUvwrTkTYUUVAT1TSg7B4HE +mF6OzzcyTTO243rWjry0Lx2O1mhgawNDmwNBy7TQQS2x4I4Jm9c8QQevwC+uM0BLVyaLqsrUdBpB +SxxuZZDpWrcdWrxtEiDyTDFUU/GixdJhaJil1lnwA82eHdZQzIrwU7WHtG2lz7Izs9qRivOLC0N5 +28grTIy8nVWx8U6sAEipHWz/gx3UpbaF5hkrPQrJ2JZ70BJ22YNv3GALjyQei7mHE63qK5AeHScc +p9ziRFam3rtoVzbbEwwSBj9bwyTVBN6+kUrx081cxI8xoPMK0CrL0ahsOJHfBGoLkG+pyJYBu9Wp +Z32/EnOW6jgOxX+dOyC82DozhCWEcIU0uN6b1iwik0/ZE9lD6IPmZiElS/jxobcYlcCoiwYZECu4 +50JQqlo2yjzuYdICCNd0HiZJz9mkgNb42Juxe1LofKhF+r0XhB8ig1Obm7V1EonT6DQKnZ6NKrvJ +BkCSseQMB8pIMug5o8/x+dXJvD35Uvdjw/p60pI94UoCbiXXaGGMmQKYAznzoZjM+3Zi3eLoGVqJ +yQrEH5rgBPj98qJhEEWJyevRY9prF59/uv4jqXtBLflFobcnnuqQeR+j3kJ2Lm4RbikV5N5i/+0k +wJ5oUfFx1jLMifbkJR7q7FU43Uo3iBu5oer473NCsgfIpgzQeDeKDFeJFlETESc7kE3ZjKmySCYu +wINmWCiw0mUKi+6Jq3j/HeFXBlFz0EFHr7AHgMZ2zsmf3HhmYmlAdkOfAGA0dGZLiAARgNtGm5Uk +xzLAz6lS+jgTRIeChBGjdTm/itn/wsRMp5ZZShiZZvbTEN83i7HY6nOJ3GHvG5fz5MVdSVBde/vN +wMbL82OJBW2L8dFFc+Gc38WW/0QYqfriH/6X4Ehlt7O8wDqJ2m0dFdddnfG3d9RnLKRLv2dEqUCg +f/zcXf6OktKgoH6RbCFHJLNWaPXDOUlcCPU0ohf7MEQbr5HwEf2Kas81aSMTfCcBHeP6/Q/md8e8 +UofJ+IvkmQqReoCo650AmQLE1v94YEiR9Q8mZMQYMl8tnG5NCEi8jkBDqwx9cBCZsY41Q91HR6HZ +qgltNsWFcdiixrRHrYS8gfHwrt/jg9M8cz68I8XPyBUDbAHI7OTt6SHeeilF89oJwb+sLLIZ1xzl +KSvnoC9W5DHqKbavbDVtDLK2lnkQTsozmz5uu9XnNrNXRjLmOpRqZUgkOBzjKE/2YDREpRrn2KcH +RyskZkHRWNte2YEi5LzXobYEuLmOgOts1lueDSvEohS9Cfe9TyTlxhvWJ2uqoPFikB2yGZzGaOBL +r/yaFSzsQEMacEkrQXqaju3kWaO0ZvfgYSOqwI/lkBIQZ+q8gLy4czOqgzSP8sLvwXvvBsCRDWoe +jqpjwd0KtAIsjFHtFAXGA4drDHwIJwsVxL0DpgNfev2IAwHEpIfGh4v6FWT0kYEzTOLAXuTHmzZU +IFrMysrp9x4Hwi2tIKcdaDylk6jaHEb0IpNONPHt435gOsLuQOfC1+PKWDmsTbLnK4jYtog5aJmk +qTIlfRCcBPsmFLo+mLBqZMejZQ8td7Yl7M51WNpPs6pPoSRZFo5AFcpAmP5DUC2BRYdKUuYjTUMF +yCsqijyILYqX2O8bgFN25NcODzlnB8qBvw7gvPep6y4rs9DJccMD/Ofc9LfXZlE9qntGvJgGp2DE +mq893jMS1L0CzwhOpLdvEKT3bvQfwVJNXsJ5GrpAxj0xhnykXRrzJA0xD05z7/Vx8sVQxXyz6n8b +jc9hjqK/l6//LxiOPY+pkh2qaoFpzlqvhcQBc8NmcVjW0mbTJuIUY9nagZra/ENuU49uCRH2RXIh +0t5jDj5bCyPyZAIjsihr7VAnnSZsbvyaW9M9CY0fmq3y5zX6fPk6h2W6SwVTmIB4kGiGytxOjvou +Rp6Jt1T1K43Yg5jBia/98oNW7s4Dfe0fVkg8Ri7iKrtXpPB4soQ/SEyPsUQR0/Xx3FbVGj79esUB +8S8tvWjMoLh+/gMZFD89D+lxvXR/h9ISE0sbOCAbE0ks8NeBCu3+O5z7T9ay8+Q/I9Iv7uREhsl6 +TcprbCi6uTegm4Ls5SSs9ePVPurksTSZcTHEoZpBegprrqOWg1d+bUsDq8oJfZDz0lO1oshhjSy1 +fc4ItnCZzjG4ACQyTnaia8Zz7uaUtL4HF97MYOrVR40xNIbNWgcPdtAjl89/yI9B+lkeGhCrwFy+ +Tqbr+xMoJV5pkU1Hn0cmZrKoOMw4b6VcEpwvB7aeJYcQwTKfa3dOFhpznqNsV1TycdLWr3UxM3KP +9Gt3Czg5MmsnwMbRdiPh34hrLvGxnY/PbyyWh9voY8LVzJ6RAJq7Tbxhjzq4ln4KcdwrDygxF9m6 +Lo4zQN0aDsrtuRwpxKj97T+3Kt2RQrwLv1WYHOE5xCBJ0bAM5EXaAfRqgWNg2AUwq2iZvUKq70if +Ij44HLfpqMDsmXe1aakH2qq8n41fWVqWj9eponigqP/ecpx50CryUEBM5BwHAt+2sP5E7WmoBoNn ++YkH++wjT30O6mrKPrO2a/HRTUu02Qd58GLUED42xa5nF/cUsmhjmLATa0ocqgeo6/coB+esnRrB +1qcJz2hpw32SvR5gN1cuHWxeTXFKLBXc5PFDCGezFJJgGzk6XXNKPuvH04ESIGcBz+aZM5+OweLU +Nk8q0KZc9aPX3cj5e2Tbe1F7H9eO9ApPh8aS7sgMClOBGXwYM8bSAfvZgsA99YRAIyt1bztY4wSx +Qivc/Gfv1vND1G2ujSMYe6hMQfFS/vZ7pfmtLcac0/lBY2/sQFqIkQcO5oZyQmKCgrSjaqV3kNmB +1+GPgUE7yQdfNeJip7sU3Qtg7PgAWjrWK8V8dTjsDnYNoOntfgjLdWnBGePjZN03CyptmgGyQ21v +EcHsxFp0DEZXLT/roKvfSNM2wzuWa1ncvVhLHxrqWC1Ym+s+3tQTyFQEY7OHCYsKGWbhkat5qdBy +JWNe8HWKX0t/WSfkM0tP51FcHgcIGiqyu4jIRBMr+T52P0kwH/y9q+4UV4RhYaUDEq+o2yLwDE72 +YO/U0JN5EXdELryjgwhEXtO8U2FDIgQEriLtu0bFF6tknPrUdLfEtTQ12Ci62yg0MLNTogCKtzvn +SJIazAkDaZp6g734hcJ02gL2sDLpRdYx4ScZcTSOPhE/yRL7WpYYK43Ogmf45B6Zi1ZpgK/DQJIH +iJIrWS9GHZDDDVSZBI2XqLnsCKHrIZ6R4e8owW7SFfdkgBMqh33uRQVllxYiXtenEL8K4pLpJCSO +cjKoLK1fQbwMZtqyyiivmvh993qrg4cOw3fE3UwQO0cctF1D9uVDbp6lpD2Nd2wi3B60zVthYMks +VZ6CNVnUsxSslfzmYv8bSjytYLlpHaXOEzFbfVDx7CzlAPtRC3BOy8UaevkQoIHM81J5Ul1KJhFv +gU9WyBdzCyGdV/SnZ7nHsrinATQPqsXzvlRdy/JQvYKFz5aqCYujYqhTqd3HrniYF34+4lj2qHTh +mfeBxE6hy/rM42yMVgfS8/vvajp+pyDekb8IWh66VH2ffg58XT8sdamGrA+FT3yLwrJU0ucJM3UO +QtyCgYiDec6+bIgtRXp7oYnrqaCBOa7Y0mJJ1e+g5DjCdu+u+sbFXrSbGxHvrl0CvfyeNLybbpYw +uyzFeA+ap4SPoOp1OC55qLTuYgfzVAvLE5dlMI1atw3FkmGK3SpEjKx/H0DNGleFyAzusGNclemt +vow0X1jJ37ppGo+qx4J99Y9tvdzmkB46h/mowQvQAdgKWHmghKW7WwbIUURXO3bkW1vVvS4WJ/xh +I1IlsWo2kp+niir6CCpSGa00b1oSaik7WNU9ygNWelosbuZ4zBr2BkuTWP7EJ7EgbFktxq7z9bgW +R3Y6V2bqIDk4+OCCJ4J6WOXxoVuf+BpYn2lxYVylVAc1aSNXD0DQvOSXGWsI01KmBLeCcmUtyfh4 +uspSTvVxb1T62ZKXHM/dJZJ4zq2DJZNqYSb9JKaHv9AyWxreoIz5LSycUzborFgLN2a2pjO7K1On +x0kmmy2fTKS50DcSMHDj0MAtnKYoH3pRdFkheVjLJPONq8jothP7xrm/zUvwwrIBWZDqCgDR1fR6 +a7Duc6LsIekhgCJxwabSbO11wxaezLmtv77ejuQh9QbpO5hVWjyweqcMm5HChyElxs+bBAoV8x0t +7DgzdH1zLvAaWyRsnFYDHJZA12hYMHRFPUf7qL+xW5cWVbWkFfGQWFIaB0cJfXsyScCJ4i12ViR+ +G+A5xXpaE9hBr12XrYt2SBlr1OP3Uw6wNfWpsuT2idUvCJvADZz5mECmrtEk6fuYegjJO9AlR5Pk +1AVDMWp4L8ZxLSrimsGwqpCdgRnkl32oyLNlhlIiPFy+tv4ZA2BNSrasIh72bRtAljk+swLrYM6Z +t618kUcOOakj9wAd5DgYPSwW1jbLqyJ+ZVGdY8oDs+bRAcB+cX9kx7DWWe+sP9QgoqwvruDWwGRh +Xifd0AFIZa8trUW3KTxDmw/9SEjVQFvx3BTisiWNSICyDsIJ1M3mLBDiNWtoFkNd9FArWOLXaH1r +ujVpFdJJ2wk2kFCRyS9XLvmVVg4EVyCJQHpZAs+WzWfCMAIi6ljhvq6jA9n4J6x+0YFcmlrsZF4p +tjxKNpsfuIk9qOTVSHDw4GwRXO+t+0gewn4urTG2TEkzyfvz0BSX5MJ8uI8OPpCIwdtXcJcpA+nF +QX64zSdZe06CNewzXE2etRzUFY1p57aW9FQtO41yTL/4sD/4e1SPxcksx8eO/YpiPzPcylYsYMu3 +Xcqk4OCKg1yZQA7CcTu5MnccDhXr87ZyFkkTMuTyJVlvhe334jhVt47RjHtPjEKvMqCZDS5NZ7kb +HI2oaW3lYKvkaCKr9dAuzKxBT34PTz5f/vh9yKvIDsS35gj9lAjjLfRrKirqIOXw7ltgDeZVWVHa +GUSW9NA9S1VaZqoqKuu4lrw2XSWDayt80KM+oxUSniv4LB4qq3YQU1vss5pYqtdn6aE1ss63bOVW +p/Ywm1CC9YY6BU8VhwGFBj0g6fvAVIPFNAmDsLUdL5X0Wcs8DT97ZRFzK9Wbj+e3R1FbTnXBdIIO +SnRAXxmIqPUNWaEcgIc6MccVt+SNym4Pk5YNoYdgmrOGUPtkD4mmHyvWm/TQeCS6+kUNX9+ZEkCO +3ITJYObp5dZHCNYh7dq3tuSyrXggq6ZcGwN/dOvaYRodYJ4/vTa2w+E6zSRQ+He3Sy5OlXPBckqL +NMfMCrKWEbkkLbnjHb9foWdP1hbBp/LWO0HJzFJeQlwfU5ZRw5Is0gJGORADVjCpTHOnFfIu2vCA +YZ3umEZD+/4Hf8/gqcHQYKfF0Z70/Btt1xCgT7CfemUHinRpVDmU70T0n2sXmJX01g== + + + gTctJlszL2JTpI+x7yrVd2mqIw6GcolQ37zES0/e3cwqk8imvTgkiDvcM55Fou0GUI0dlxk/55Pa +zjvI17+hhrA+nyjE9QNgYBLP3OeUhlAHFMJiXLvFsuZCU5HfFqyqYYpTCpWxzfK/gztWQax2T5TF +Vlfdq9ZZG9mnb1xCvYrnmEI0hC0brFjFst4HPjTeocewGJ1mQy2JC0CzpCPMVppAjwg5L4+Db5m3 +uQq+Wueqo7I5iEfgwzjm1U5+t0Yfs4WK1Ur5Rci1Fj4ma4YLwfj9YWhpMJH/dLyK4yWIdbUMMj3S +nsmADiypcbFfFZp/tOVmHeYUA8GIKIua5HSxbhXjwaKvBsm98ovbsWXibHnLWQ64kq1l7Q3BYC3F +60hrHRqO0I0O14QhdWcGSiaW2bTyMWTiPfSFOsMC3YGFgCCTGUvVA2v6iaiK/EbkBrIkLTqIiKAG +eQe0FUGd5PfVoe82TspcclJa00wPb6FnxvFzEpWrrsjbRbxwPAFSIOqKQMga4YpWFWdW+sJ3C1Qe +APW541ieR/s91q+wtgumlPVzT0PD9BX7U0+GaUtGYnRmOzlZq4nImzrfZBydJT5xCzHMcQQYH+zH +skNT1eJzRNaSe5cDeEmvT4t0DydLiLIkPliWkLDEWyqLeLWay1zjdfy6LB0nL+qC2QhyxTdZEcvd +2ThpOaKb7iOZ6hE1zQqe1SOS1WkeGmnjKjekg/1iB0fYk8uZRmwhgViOCQOkWoTbdripMIKGilpc +FqkktUl96vHSedhVGAEY+GmDbdrmHgYLa7sVdDHJfq1T8uSGAlgcQNe+HLevR3SVIeR0fYt6bvHK +RNiXIy47R/CRbVfXkXaVVkBdxwC8YC8On6x75cHnmk6k7oSlEosn+kHNjE95XHp1MAqHJduU0ZYi +UWroTgZqxVjJiksBBiAJ4tHB5rNsoVaLHXj8pphy3p3j8vAwoYBJBbZs38AsMtaayQMknxrkE01c +GfhGbMnIGbOTyBb5ICvANcNjT+JOjF4RZ/GWirxJMuvbG5AjzIcuAH9YtI8e5M6WDIAsJytzYwoK +2GDXlxYbqt6kDb+JhcYLWuJslIhGaor98pNBBcuyQ2kVyVDy9ARPBfl46DdkmFIVuSxgTRNCj3Dm +3k+oQ5uxmnorZ0jBOWJ77ecUYrMbIPTrUTojzzxWmYIZNc9ySBAr7nCO0kKQzacW32NwflIN2JwU +6k5AWqRKbynkYnqmHEyddkVpm3agc0kmbFX3FOfqL51+LZtjAWj3p8h8FwrC/kXelWN1315Qi8ju +ZIDWkyIKOAcvN+STpeUWvnS35A+0TOj3l5TEpA1rAUgumTVHxHQ/7MEFkSNSxmZWzLOCT0z3pYM+ +hXRjanof3HAHuJaefpwiBtE+aI4HhG2soXwrVcM2sR+I8TIZMYz4k2SxEjtyJNrTMXS6ZZeRyzEx +tdaJc22tVelSPAfqGPsEWHnaaRGqPyLyvdH2nk/AuGYDoiByQHyacYruiMzM9dvYZlKzQhKFnGXF +jZdG1Vu50BwMXL8/Luek8dzCsGNNZHTsK+xKGYZUdSCmbyFWigvth4qVI4qrb3i40HZGTsqbHAYe ++YJCfj9hDabNLUGY+vlkeTazsiwdZnluihaV8GEG4qTVcvBztJT0kk9OauuAkmMKbcBs6km7OBkr +NThxb5lDeTdvyQCHTTicnyRjcREeO1aQl4IeG6USL128d+RlmZ8A2PGWojDD8lwF/urV5Yrqybam +DhgcPFjRAAPNJ//JaF0/n/I/AcjagoCJlGAukdr4ndbSyf0BhGAnb3k69uLvU3ivPKcZ38kn59VK +bNkoYJjzZB2f3/JopVwY2pxCRjv5VBLuN4iNQXEJZiZ+ip5SonM/jwB3GHGM5n+rOj6yiV3zgNQB +KvD7zQhEp9EjfCsFlsPJ15kjWO4uSQTkQoXagqMhJpq7NfNQtRlezcbYi3SKvhlSCTxLZSmS27zI +/vQ4ecsmYBDsTBpKv0d895gR62WLEwW/lwt1HlA+l/zIhCPzjYxrtCIUNUVgyWCJvEdbAtyDKIdp +ghdVrnQx/oQAEHn4/cXh4gTWb928yQ7/8BNIwVsR4iOUC6thR6dpCtugEys7lbBpwQC1MK7f9ZTn +Dvw4V9jxDLySV4SRgD8RJVGBRWWxp+sInkBoHIL9YXAxcEqg2OwjcNNbJm768c5aTAUwImwj+STO +El6/BAcfiOCxvje1HXElnj4NflKq4JrluDyC5K26XzyJI0JSZwOkN4+SkB89+X7yhLlwFpjhO94a +AaZM4bnuBfb/0+OmEMBuHRx5YkbupHp+oKK5ENbhvCaigA1YpyrjoKeAEilbyRhJpMqHNSHSwr9l +UHstq9dAmEr0IGMhcf2MmJruKb2kl8SRIyOtl6GsCwupi4w0xsdYILDw3waTP9F6VF13xZEckchG +jBzD431/3++RUaIINBuaGNNQBMXLYD8ceeWvaENTPIw9aSuSOOUpKggJEupnmdLByp6B70rhp0SQ +QWsRUeM+jEPdkHWqREJsO/xERkxCmH0e18epkP6IDA6a6LT6g2LcQBi2Vunwyx/ejmsnzI60CKEI +InUT6hfJR+89EqeMTJvLQJamyC9hRp/3fX8eWzGPYAUL0/8Sbeq2naCEjtRSD5wisepNGllxId5W +AvfOgic6dUob28vXxRnSkNaVaIw0vjAk01ExsTC4JSUmS7W2llmZOjJQG9BOW2LvvdTbj59ROHjE +H7PayvlzquRgRl/bI7dKkxoyFWwlz0FCynoERg0l/XY8GxaCRce3abhVRIUk5ZOT3MO1tDDyAdq3 +ON18BB5MilvQhiNaZnpRYV/EwTfu3Sv9PP8j83SEyuBSjDJPZX1h4MgnyXXJAOTy7Od9J0dOfa7S +YFtAMTgIS6ZlQZi8FhEuM1aSCz+HCeiUAGrAwyMYBX28M7TXHDF25qsPCf9wW57zT0f8/GAToZBe +Rs9Fs4I+lDKt5Jsg3SzOkHF+BQG+ICruvwWIq5XuruHymPsQQ+qUxcWhs0K64amuuD4i67IUVBSL +1kt9e1wWhyaT0ZR8c5mFzkQ7ceLHeFQAwARenKEKHzGIfnkXTPLhcFeoMIFzwuNO/1lVfkw/MvpL +aGamskd22YowSMfzDfNjl9FgxYlUpPN1AqeZMaW4IsPqi2q/HOH1iL3ohACEuXeIKJd3Q9pchD7Q +8ub6L1tuGYoUKuS4CY1LftL7O3GXfRF1IXqUNWi/H7SXMX3cT+v0HFg/S4YOXyHNeUQOnp8DWUDk +Ti4hgXWvMc3xdbLEPiJ6sZxV9bf9HkxNp9LxFnaYw1rM+3m82rwcL2dGwN4XyavKFmKKiLz9hyUi +IIfd+kAi6oTedfvBDlqcIbdjqt+1ZeVSqFE+shlLf9dnPEW9h5WGoPe6Xgp8LMjNl51KBrwSl6YT +gRUcMCvU56Xbk3jmkRKyRbrOqbVThnqJkKESwVA1HBpGpEPpcc1aGJwKIbZwBqAzWKdhIg3j3GUA +pxVpR9IYfRBfJMsk3hBCBtfEjmgvZyhyY1864SNkJuslr59b4L5Ils23QWf8JFnVeRrC0T/vOzld +scaERf/HqeJBbUYoTsMzT2KJr86gdfmfj9Qus2rTWUzMcxKDtcpkcMRrsGps/D6yXGWlbUeoW4vw +1vcDkLLdDgv6jHjFFvbQdsSit7NjXQCQcDY0tVVkXw3HkH2KzK4erkT7fdFlCwfGiHjBHvHVFkVB +R4sd5FN0Smt6sjxN5SfCEEL6UJyaB1woUyLLLmDd5vCC1Vhtz/TiCgTx+QhoAgqFerxTNYJY5PNU +QFw7nGUtCspyB+PnKklx3sHJQko3nz/4TQkJpLvbUJju8pl0xOCRqPgCSY5uwFfMp/ODCNIKd27V +rw8XbwhmJR6UhlQQ/VzvfgvbiH0qnI7yeL//vvK6e4RJW6/KcIraR6/T13Ny8C4zrTXV26kh9HVo +ywpq20m9uJyjIMTDK+1VHIOcRN5Ec/WwNsXZCG78Oooz17bXlkMx7BIN0DOMMMCWj5Eow7XDdvd5 +10UQtXQ7Hw9NGYqDOtTeaweHTmVWdW3XWFFPJ58Sr1TFYCTLrFKmZo145n4EfMqWZrHTSzF51Ssu +M0xaQUZyj3qU+JFxJFeqRTnvuCHxpaovnUFBuxjsXgoM9dhtHTg3jIPokC6YKyOnjbgzb52XElEH +vSh2xWPXFJCuAMAaCawjhwZqkQK0C18W9nQoRo8s/w4LteDtpMw3uJrD7jyDHNWUrp3wsZxTCbXd +3E7rAP/eCh6h5G0VlZOSTBmhMKciJzsyVD/4azcX8Whm/VyhVB3p33dfV02YgvLK2OilF9aST5kX +00+mxXX48kc8G1avs28dZBMrQGxZmWGufXzwc4o8I9asFeyO9RIA8HVUJ65r2dZFa1Fniyo2zGFG +VNynmrIfVlr6vO3hJHFY3nNTTLGbodV9xP2pKuB6ykeaW2nfLZKp3dj7cd8tj4UV7ChKKXZDxRfJ +R/J3b7EB61TKYZyrg7x0cvTeIgXWPb/qXR7lgZLVoGXVmpIjziuM8Odux/rgz/NRQY6l+zyNXxF8 +0tG9RIoOzCgqBDDlhBvoiD/vkZrPSD+vkDKUtWcGe/1+L3H2KAazmoyFCmKyIgIzgojHOr5Oh+GI +J8QGGqW6HkJMjL5FXHDLpxIt9IksVOv5+VS3xe5f/ePl09M2fpcde0Wo51FH8Lp7urX2u7jhnYKH +VSxgWEQP8cuqG5wiG5kcPmIGrihqYAPWXXQQln/rN1LZgXMAYrzPHjp/Ny512yKbSm4og+aYejeU +h2T1GXRd3c2v3+u62ulmQZ6B3Btf78SkCpvAVPrDqaLPoJM24sY5gKgHORigvkZUCx0B/ogRRHa0 +FAZvq2R8fwo4g0iudiwidbBp+pywXqj0hSLybDRNi7CVJlfJvt8ujEoUdH/lSbMQNOyBrvGI4mEd +NbP0eznnGCnMxYq0dwVd3mzswY8XIFEhKqjC7DqizHpEFhixSceKUmNLEU4Nh06XRFWY6E9WGZZc +9OjS9nMqWsTH925Up4feHFy816ZyCuh3RnZCU2jfg6QM5X64L1cIER2GGLnNZIlmbr8cZF6YmfIV +zekriswcBWUNe7Zp5WtdRxWEh7L6EnBrHTTVSZKB5zqvwxsmPkrgr/CGqQ/FR5rXRcpLY3j5OEqp +tACNcst3jupLLVKXk8LryZqvH9eoemRZnm2GRi7SWN0kBCJLXFQWqgeNcSr1VLfBYCJK1ANhgLBj +RyQdnC0sX2WPW7GR1uL3si+2OE6We1xV81YZFtZp1s640T4GkKIwVunlZQAV8/vDGayZhhamKn1b +HueqBKrrCp7upXmj+aTV0ythnmvVAE7G+lXkoLIcQYWH8/O+D0mzqOewnt0PXhlCdn2lA5uIy9oB +JdJQTR5VRbIR3kej5jCEz6IiEotM0oBTh+pVDJavqgiz/eAAun4PnFrQaI2vuFY/WQ== + + + 3ENR5F7nNX6fdM7KbmrbWRHvqKX8fgBjyzQUNU9G1FIpEUz9RBxJ+SkOz9EU8FllgzstgqU0yLl5 +2QbJfRWK5opgqy+SV5dzV6X9rCi0IlSjesyRbpdPhq9V9TRlAMSApuo3OfKcrt8/s9+GNC92nili +Tx6HQpP8pGlshUkfxOMa5bMjU2lZFdKAIiRmeGxUK3JS81sIX52kbRlhe+9H3IXqOsXysgOa/3JA +m88e2ekFbJzEcfY3qlsJoPkoKNJC1suoc3+7Ur+4v/JXZsl+7VyfkMVqDGmsdcUapSjMdDhcTzWA +GqINF6LrttrWiIZ0E9PLtz9Ct3Uwz6Mmr5RbOGE9kqSJp0yoYv6lw/Nu5KZAjh0eukvPn0Ckl/DR +gGYDwSqUwabqYTOiNdcRlkqPJoi3JbKOohBVpd5anOhTja/Xrx/1rZXOc6rzPY7TOFFphkQVUHAp +l7T7AhS0C8wQ7z0oTorp6lNhec+f17BqRIuaAphorzfyUAE1OkIGMx6OpiTeFrbYVYVhXdQiMfIk +I8u+xhNGEI6P+2F9RuHeQ1Fy97gK90YirqxI1d9nqVpJqRruuSet7khXuWt6VJJ0g9Xt51VQ2CKP +u6yhlsf6RXLdShlSXQTLAlFincJDqindErL61jrUEV6ZTjQXdBolgU4JJ8/f/xUL1iNR3X19WjBZ +f3uwaE87kgjqRXD+YGQdzluQ6XCp/YS2UIQ7cBmB1myfrKghMBhE+47MegrHhlZHN0KHSfGv2fZI +co18oHWYEhqjA+s6yi7MUMHsU6qvPXRq9qk+VWKC32WkXFxL5msalmc0y5fmojbJzERJkdbdFf5i +tKocvxRKd0sq0N3DGGK0qWURM75+/yMGNrPKn5mLR+PaQxYxhbC2bF9WVpayoo/QbsboamBrhH+B +Jc1bCpNKR0GHNyNj26NYICvM2mAj0xHoOjcz0MxWSN1WPmLzXbEU5CnmRAdFW5GEviKt0olJnCUE +dEtKoUUXZU4/SVVK0Po9klqOmj3pyKt+GZT8HimqLplYJmdrt2Bh2RlYwax7gWmVoeNr4g1Vv8x3 +/UO/j/oV7kP8vP+avLIbtRwoe3HJXtNjlNqiBK8c1fSMuFQDOHxjlySYj7tvKTopnzPyD0e8ef71 +UrgMJs+/2NM6AjqYp+FdiOVc+9XSVwsoi5dpKLDGBEfVIY8cAHPodNXnenItvfSh2bTwC04koEXU +TlOBHs/uVTzGUTzCo/g+7zuRJpUjXH6cpeGzr8cD/396sNFhJA2zQTrYndumFPF0VC8QvIrFTQdb +kv3+OoCPUCJc9Mc/jPANVCCV4ZhqUU0NWKrr6EIRiC1qI0W50Eu39r0zRtK/ES2p/2vRkoCIBUgq +e0TqJpCi4ZoDEkzkzyfysALDBQXjT528IZ86+QcO8Ak0yVHBOhDZLdu5wF7zIFtKQSUaY5mdYGFj +JsIxOtgiiB7+Y2koMOl+BN5XA/LjBCrZRim0B8nSIJfgvgjz7iDdQgszpK0NLMVEHzLQwjLwvphm +g5YLYH8G3d2h2jqZuHZlMej+ACtb8Ow9rZPhgpdZ49dAACxWqei3J4pVNsaPDYatAANsQXb/Ragy +j2z0X6PqwnnyxUSZXn57mqXj3g8u3bGipaNCA4hrO+hkGQy48E0agLAV8eNp7wotuNhmTx3wTnMD +AJoRK79PGx6oXqYMaPIe6Ot91pbY1qs9gjgxphYBkE5du/H3KMfixM5BVRRBArEA/1jEX89H0nDl +GnfAzM6NHaBwrhMdXeQgYgRWPq9MkFE2y4l5JUHIzSakPKDXlqxSAE51yyKobg14IiaaCJwI5NYi +FCB+qBDTrxZudQEo6oUIqDwDetzIXnJyaUn4hYkjtUoWSUiLnsfixA4oeUdAzvXoYHdixz62GkPN +FhxLlFlTqECzSBGA0fK3fg2J5+s6xNNPTXfl0lu+nvDO3Qyi31dhH3reE2glAC1dfAAxzdVOner3 +fQa2uQtcT207rcdPvVq4Ta/RQbLgTgDnTqACWnHyPojbC2OhEwX8i+iXDyIFehUlLIBrVt7pgR3a +NpYleWqxYBb75PXx6mXEiewNt89e+QTE9c3aj05M5jQBeCkdQA+yOTczEQxdpyBROKvwDTitLwKy +trU4f3ei9xwghGhqUUrYwcVy6g+iYZYnwdjTZ+lt3Yb5PFbnRBNXIm1APSZnZR03KrN2+0tbFE3x +jxGl2TogrZiqV05XSgNIAPhVtyAuxwQtBcoi0DMTwJQdkbLo+xabUsDpEo+wexgAfqnQEe9zJhCn +wwbg5xY9jLXmrmGok+xLhXmd6CGH3tLrPqEDRGH6W+F1e9Dpyr6oxeLRuX7k+niSxH5dW9ovPzc/ +RR4vxGP6fryP5T/awm+F+c/1/HTaScELW1hf47R2NRFlws8ZYS2N6PXQvOFD43MxxbJqa4+178Bu +rYbe0Qrblu7g9VVh/ecvHUK+U/P2Q/0QElDf46nTcqCselX0CWIbwMk4L0qtcESeZ18zi0ifN9+w +EeG1w2QTnqRaGdHiNzVX32hVVQFPaBBHrPQLQ9qAyNox2AVLEB8kojhvIrXdSV7v4UINWTT3Xf9Z +aKGJIujfO1ZoPQTSJ7nOqqIgjtCpGcDobsiaFCOP99nIBemmN318fue4s4/7JEYDfHosxySuTCsT +JvXGA1ozChU/tzWku+1AveboTmuezvCvHyDnWihnotq14//yYakJUJRGtAjuUU+9ogODHphP5907 +4BMUh9hbAlRYM/j4gaYdL1scV59BronEsutvtyvw8ScclhAaa0ES65eAhIlfXuFv/3xpbdVX+pXM +Tr7puEAqflzucRlgSKA2QClFp8ZP47v08Y3jswiMcTodGp75+JzqOau6VQPoww+yp81/3nbxraPT +FxMqAV2G56WbrsPLd6NmH9+6uwOPpt6or2f9SHf589K60QJz18k3DvDg4AkgmXE/WqFS6/aJzwv5 +NMBLJ39xdro9Swtf9CJSzk13s2i28swMtwUjVi42ArIc/briQT5JHk7ueJIL6wUQKbskElH2wnvd +thWQZ3ZSB+a1AlEA97sifvsk+fj4y+oUcTwW9ePHE/k8VnP613GWXm4W4M9gpg5pVJ9XHeRYdW7/ +a2se29tOvus0++q3JsHVV1XHYhbtlW/2a1uEwTuxY3Blh3HfyR55dowZxLLSejkrNYwcO0pD3nXw ++eO1Cwi1aEubiqTfu5l9035jzLOMehrFF8ljahw+lU+SS9FIUO/Gibu9zsMq2Kfzvfv48UR+bnt8 +60R8Gdc3zrmH2ezppHTa/M7399y0aT+CqZyMdiDTSLYRJPXaFnHndwP4rslBswGbfmhlHh3x9azZ +PMgeTQNimyOTaBnZry0X86BAXqOdyBeic8e7EXzf7Ew0qjuftFu9+bIkHkrvyWZHA+dZHpEZ9ePy +e80jO2jlPrW9HcA3bp0FOMzz4L5IXmOex/F5IRfJW0993FPZxTceOOq85aGl2FulA0czxojE8Cft +3tXycZCnqxciv/Tg1R7uvvWtL9+dsFGbFy1ww487Y75IneB5shE5DWqPWfo9z89pLbsob4ZTlrl/ +kKvHBB2mN9JoOJOR7kH0rHoauYSl8yCbu7HRxgqAjwcxhZXME6gniR2sJjdnb/h9Qi6NU1F1w4ke +onWYY0EsXQZND912xdE4HIxcpnsP8EU7W3U/GXkfRI/AKb+FRdYHYNu3/G7aWDHXAtzbk5Hz7E7K +XXkJ3udesJ3Syosea34yXPowU8W5fyxOLQOjt0nRcmYVHLF6XgrSL3YlPpEvv9eVcrvd6BL0TNmF +6bMUOoOdOLZLaqUAE/nu9PwJNhJPldg0QKZ24f8qDerEhyakIad5pY0yg/0/dfoXFvIfHzRUvvUy +CTMJZy6nzHvR7nB2qDbQcT0xB5hunVo8KuylKSBGLt/+E6TrJ6PzQsyPUxPlBFVhOZuSTxt5mIKt +0kA5TNF9X9qaWRlOI5/d3df/wlz1ZdmP+VpdQ/c9aRqft42/T2loFZFEh7vB2XsLqS0ThNGIFjzS +T6zYaAaTkMkehdvzIJtDzJmJcUKvNOFte9v0V6Eqordccg0txlU6ta5OtudFzkFMsEPn4ekET2Ma +UTzbh//glXweOp8HKyoAXhiOkQfRKlr1enq00AFDSg7njBETspewVg5c5C1NH+URbWTvzVA9/H2S +s9JpUFpPT+Z1+b9RmrLKhWkdI9MRS63PExP4vG38jfLR8cXjiDm55MxDzQq6T+MwHjTFzjLcfyff +7bXbb1SQrLrFpmdrsCiZk0eMA1XGQO1tPnns0PRwN89Jmpf9Oeb2wd/v2smk4JvDCEo7z/huVN83 +42GZVZPySK2c8LCKyvAmN/o9vGmebnTPlR4SJ/YEiaQo3Apkmn9yRtalEafXhHRabeAjwzF6jZai +2JCVq0ZosTf1XGQQM5bBwKlrw/cRxu0NHaoSv2+/l+pidU6sb/ggmlEeDtIEZwmIPaul5xiqAy+6 +7d9qkIk8jtrZgOd0lvrb00hFxO8tSNbZo8MOQaazLPFaSUQVfyd2f9nNLZwRCuJUPzBJmJXeJe3x +5kKj08QLizpzMfGF7rynUXXke31yVA2xGJ5wt3uQS8XnWthehkfpZhAd4xzE5S+opU2hkBl+n7LL +ql78RaPdHX1WRpE6cUFB9jSdevxek6gs+va0gip79LSCNcBPn05GYf1OLGHFGmSUMwVxTNejLK+C +YExOfkgGE2RPwgbRa9sebc/nzRpuXeXhOW8+28SsFz9ac+P3iWXJvaV7XtpQnU50oLZGzh4640QT +Q50GJM3TIR5e0HMcv8cxHlbGdXGsBanHIBbYlwzM0B1SRvRcHnRQ6LsyMvJfndizGQaNiOAf9Grs +2waQ7D64ZtHdcrhARkHpB3EhpeRBnMHhuqwkRvSEVh+Aoa25Od2+NQ0Jz4gWEN8aekUCrrf0ogm+ +rg4MgA66FD6vQF6cPXgA5jxtF2jUjZ72sFs9GhCHWkZIgUMm4MJGuwJsIfy4SDGz+k88gQab1d0s +6qlmDdPPVPZYwkrfrnmezzXG2RbvMPAesHiwA4gJaPE2lBRz+pOzeAE+t1E5ZNXaJNa0yK/MR/mL +v5+QsB7sDgAMTkSM1cECra4aTC8WhKP7H4tsLHTA0GyFxIoYu5htD2k9Z+CIaefU9uD2VvYMkR8W +xANmewzTwo2G/BcGACi+Ht+3bPzEkXoFMZxHWhpsmgbIp7PLgCLDNeTl9UqT/Zip0cxZXdrL7O1C +FUi3qlGP+zg5JNSSP119m6ZSdp6eJavqg20yfNUNM8PprbKSmHxTHdLBR3+M1Lr1dEIndkZTsR4Z +iJStCwpU4PfmtUToVyEKiw8qIUQwWw7dKE/sQCaVX5x/c8EtN2Lmep8Uwxmz5s1qL/kk2b/O/jDo +eHKS4tYK2U68XWqIr4dMYYVQYHoeRDWDvrHXb3dyzveJUIjJ57Io1ech4pvUV2mAkg== + + + qalb6V+t1onYIdEeAW1Opc6fregNb4ALlfP0rdsBfN/kLL8Rs7B7hPJtT9SFqgJOG901Oouky9CS +vKYsrqFBbheKN9PLDe9n8Wha/UYxMReFQKSe6ejHMqNZhnJlU2B+OW1OMLEVMRlWWBvxl+JsvziA +WiDdbCZXONELSTuxO16nE1cZuvRzqwPLd+n5WRi1XMymXsk0Lgv4FzeqYHnr5ETySjN2DSGiJ5Zo +tC6hWpzfSgY3PRI7VT5yz2RYtv1jc5K4mCnx0q8PAU1pCOBacCeWJG1vqBMyUr/sz9Tqdg31MtW/ +vAknbPY6Z18/nsLtIpsCdvtWKXF3x6I6x9WdCvad7FuiPvkvvLxlYUxi37WfRBXFP/aqpiiXh6DI +4jxfNYOfIiUlLuv7BW5gL5p6eFByY1saHkMuOVHq2BRfUjjOGvAeDrFeHfLn9QjTDDucA7YN2fto +xDvQkp5XKatlB4jBK5FRridlxcm5iQy95mz7ddSyEbGXkECUxxaBuqDVPmRF5GZ2bdtxRPhTRWnS +7WiD6wjmP1w7Ds7K0Mlj8FMJMKcvTSSHPH/pdOpMFF5ncfAlxNgBmMf47XmXJlNzn5Z+ISPxJcI3 +2O4LEVrtOWxYULovMbpeha+/nKdJYM6ncz9QzOPj+TAOIpScbcWeBbXVp85yR/SIfn9068FQzysw +EMnBFUA09esA6EBRpXjMykHJ0FZxqsd1HIgWu66AK+yfJLelfrsmcVz0fkT1mqrgQRWqZKN+GRSu +g6l+EzxTqSMc5bVtElM6iE1xB0aOWO+TycDJnLEFUo7oIT3ddzREFJHxnzR0Eg2QDU8RtSg0dRyf +k8aPlogNkh0hOiCZBg5+Cx43yQrcnHHi1dpGMSy9TuAiOZ/Fhzte/+c83xI5FkpSfL286iR/Xsgt +yTr51MkbMjv5Rjc+HfOyhYUzB34XyYAXDrN16enH9aTLNQ6O/9ztX94HF0eBTFUT0YPwxKn1nswj +yP2YMjnCS4bFmVnHg3bL/qi6R4oBF+ipLfIOQvW/Gf/3xmokLcJpbc4jToh3vW39rXv3xqd4sEiO +5euFF6ok4ROPHUeOg1X6b/3C/A8W+cTn1fa0/pcR/BlSqWQgDu7rSk6RFXQQ5yE08MwcliUcWfi+ +zutzPseni/AygG88dAcb5vOoyQ3dstPYJOQMliF+bliIK3dIUydR5LjhT8Sjx9NpUJTO+TA4phiP +GIow3w3+W2/jizyi2yjx5wC0eZGKPGv386WTN+To5M+4u62MfhKRv16uNIf4KmKlq9A0gJ70qh09 +ta3waIWJ9W4E37hdZ3HsNDtlnj0LMwipPQ8taJzDVUQ7zUJs6WnBXj7/Z7Al3jxOTRf3uFI+k5cg +uZPb6qaPb8wEMPAOfdH1c4RVmuunnNbpk9RM59ET+dLHt4pUaZeTBqDbIK2+IyMBxAWfrQ3Dqyuc +pF+unO7C0TISAw/F5KRsvH7++wyLK6L+TADqKMvlZMcIbme3n1WKno3qQoddbmXFZZkusuhKWOn3 +s10DlMZNgxUBNLkx2ingfTk45JNe5N85WXB8WZ3Y13xeGI4zryeFzWfEHGLbhI2I+evsvyk+zjbN +glQg4lfUUFDcBWK7Th6qzQTmNgPK90FcMr0ZYGehe+1BlcVUGJpOTDToJUJXP4jTSnyzA+HfOXkg +ld5hbxFTsK2Q7eCo3L7ltJylHDK995x6cjoYj6apyyFdFJbvCehc23EkqTBd/cQRfQIF7n876gU2 +0b3COn2o2Od4jfMFSyiV154sR5cd+MbdjSvJo/v18lY3ZOt83jb+Rs4U4qJH+h6MXVeoIUPg87bx +X1yS8F2UNZ/2vy+SHfu2nQMT7MjT9SADohMnTfw8XLoIIp8OoqLZzpfr6JRE/f4gj7qpxpuHHd7B +sNQ+3c/DAX2EGJ05n2NjyixrVMUoOfJtC/uLyBRTg5/a92kYeDMFmW/AC2izV/mnpwlkq701Xu4X +8d7UgfjGiRcsq+f60qkX2Givc43VziwKAFrBrc+oMg9io02efb6yovNaPVHFDA9mdkvktzSrnPp8 +WcJzB6joeJ5qAaSxhjVnmQfje16AygSN8/zPYTjWtDLiBujLTztFTvR8BcgsPn68koOZekj+PH3r +9mp9YwjetAJmp/f6i9ScpianC2ogAuP5ad/mBo7buXTerCQIFvz089cv/fVfXBi2WPqcT1v09SLA +V2QYfT5rBRzz530f3ygNh9jLL35Jvu3zdXTntjOSnl87+D4+f+XuBxsvPXi7zqUTn27aEYJzuqdV +qUzPvIrkzx+vrbngr9+6vW4oF3Id6rdbkMm7kubZUa3+ifccHribxt+YixoPy9Ou6GGoKLfyLGPF +Vh0v2PnqPvf4fUNdlvcizqqxnqR9DeuJlLnRK6tcyVMk4xO5x4I/dcEAyafPK+TrdUzfGtncFDjp +A/t6EQ+4undNv/F4GApGnS/n48zbeRTOJK35E79O63j1Ui8vN85Ss2p+XtunPluoFS8j+tarMMc+ +RvsSSf7MY05t76lp/cVTjx7HzyNc9olffJE899MdBFFWD27R530Xf4ao77XZJDjNMmOxRdYCPovP +z9SXLv7y1RxSBB1TEfgiuaE23jPTPrd2l+mVTG3iG62VMrrykyGuFKrsvWyFdRy2RQ7kmViP8lmX +br8xTdrrHTG8eposInseVimiriWuYKk9wlrFER9Et01GF7f9fmP8IOMfHkIERIovUreXbxjb49oU +Eozs07FZoxdEr8DvREdoj5hiN25biVEHLPjpIcl1etvHRY34w8fPMmK/WYz0FwMQlyelGbm1pgDE +5tlMRpxziujF7TCCiO3sjqhdnkfrpYOx5gXFE3+eYh1tDbzOHUZgSarbt80i68ZW/HVCALvBtMCO +c1nD7zK4uKnOcAkw3rolKNBO4OScEHS88LD4fNuWoS9XrEHyWFQZCr0E4HlrDDivIwUgKcst5Ilo +KEPlaPy58pXDzqkPgVYz199LIurX8N4ZeTNbOUyiNp/FJL9lRr3Zsay1jBJSjkZqUZBIBDrm3lgm +/WbpvmlXzuV/7TV4TPtUvPfxx3//Mb6rUvD+11YKnmszF2QNC2Jcm5BKKQWeI8mfT+RueRFJNbyj +kzfkUyf/cK0T/OjWsAELAUqy1YL7InkZRwQ5ARTC4jOInG12EUAgWfiIhXKByAhcJ3uxUnTQAOng +HRBrpqAavEWKmQFhAYqdRcEtgm0PoakUAKNZrMMuJNaM+tDX8b/nvMkQyuYY/7yr/eh7B/BdOUEf +esipwLxVV9uIW00zkDUsMeJYGiaPgbwHUWkEt2oxqzEPzz0gcXViLKdAf7EOCML61PZxhwmclICl +dZ3A9y2OJeQNnRAHp/0i+RiyAGKtemwWso1wqT0bI3EZSpks+Y8sCY5ZsNDWa29FxCLiywi+devd +SYADKJgTi+VOQ7g/PRaeSALld6Kd2b7xCtvtSQOwIU/ktPeIPZ7thni78bNl3UrPQ3Pi2ls3bQNr +5s3ieluB0xeCXnuviYvrtTjuFuD/Y+9dl+s6jnTBJ+A74I8jNBFNuO6X1i8JavX0mL6E5dOnT8yZ +cEAgKKINEDogKVt++qnM/DJr7QsIEKTERXLbYYtK1q5V16y8fJn5K6wtg7aZWlBzjQ510UMtSXOF +6LE2jCjXxY22DBIajqumhcMkQe4vOjVadhT/omKyYV4KVjgpXz12x4eCGim2YQnV+AhSE1FNzHvB +H0pZiyCFwyhm1ophkixKNJ5KViIODIUM+arlS1EaxEddv2ys3VMsoY6ISwzK75Otf7Zy0RRSnyvK +UYgsMIizOm2hEOUguzL6TUXbavksL0WzmMYeRFzmmlA7NqTs7cCWrFWkxxun71ACiXxYeAZC9Fqq +OQe9MDxALZjipPoUV1K14otSCJBLpiatoWL1R7haqFWh7vpiuZ5R1ESCU+QZaqh/Ul2bb2DQYopD +QFZ24WyjOMxr77l5j9fNWSnAYDrPIFO0WANPbih0R16YFFF7ztFx47o5/KIUZepSzoM6a2X7asVF +6TlEsjM1yYxJ3wsBLTnQsBUz4TDR94K6jbNmOH2qanFuLUTBtzx5HarUW6IOnM61ea0a7pBfmNsm +1A8kN1SoSuwYlrNqnVHKY5xgDQskHxLY5R4QcZYqxAx2Fvu9biRfVxmbz8nkRSsAqXVgyDUfdRY1 +vXlmfK9lFYJULXbzER/E1G1pakUlPNYltINEAUzooOv3Q9YxgUMs5Nq4qE3K5FlbUaru8FS1aYjh +aO/03yPfTqLiyv5aYSbKooTynhHgzUGk3AVa0NKj+h/lb3c4Hy4lzC1w1nw9uMR0hcg1A7C4wn8o +c0Nxtgp5dtC0OKcv8jJTkgj7vSty8Sh3iE8QLbTmAJNNKu0o4EQpZKqWcNQ61ZTkJ6to3lNEKUnK +hJNV1BXsGBN99l2/5QOI49XSUflWrIOQs5F7tra16dX1k9iN9Uj4KJOTr1lXO+gIYg3Yl4AiNNRB +tUMrRWgw2pLRQUbpaZpX0bYFghQnOhIS12zU77uoVU0lI6b0WTuImdAwb/y+luWOVguWst3PeqBO +KqeFwGU3ZKbIqcXU3vT3UtgoxHm7JGiDaTnq7fJNBT5qGvRcaaFx6hKbvUHc//VsC6WV8nhKvW6d +wNsPgInMWhaP9yT6rSMYlkc4+tlBxWEJIrzKtOxctyTsOFCgkSoOtdsdpLDqtHwShMjmXHTgtIMU +F2/XGX7enddpSSnrQFDmhPn7IDWJAlXn1VvBxfDk81RHXT9fspSepWIxVWVVLRwesuRGggCsJRvD +LLIXrMgeEbOK7IIkEyKqIgULoRYylq90sCCuBa9dYlKEldLXTAOSmJxtVaVqzCBWuaFCRKXSQPYH +/VJ2RcdPwAtdahvq0pIguAMmpqqMlUO4pYMm45ZpcbIWJtZuH6Ogj/9EW052h82Wkl+UYTg444Ki +GVCG0vEK7nysS2zlfKSk12ZtC1RSGpYVGp7lzCi7JCXmY5kPxRppCUzrkgSEWC69L7Vracn9bfd1 +euv394x176xuXQFd2SjW3kGkzNEbTYU2RR2kqmAqV35iqq9VF7tWM+dUF9/8/T27tXdfd87AG8/L +1tn6X49uPYd7T+wtp7tR7gut7xvAiSglbldxOdlyxW4Fiqna8xkqdlYXUOZYiiJRJTtK16K1j3OW +ooGcIxpE9gKeoUBdgcjrEVY3iFTeUti2mxUD+6KWL2dM4w4oPQ8rJJmc7qhqW4OA47ltgDZdOV8L +bI0MVeUOGlmPIxfYLcgQQUVqKYFak7YSCTmIjbOyTVslr6FYL7uVciQvwxT3cQLJ6I3XIYoDhn87 +enQFJe4kRTJ/OhVVpSWOdRCDFBhtVEfOWYXKlqVUObfVqvDN2ZORZtnoyjZ7/n2gKrs8d4pD9ywg +cYIqVK6lQVXUrOuye5TIoqLSX0NyjkGlZRb5qpt0U5yd62aTos3Dm9PFaHiCwoecvg== + + + k78fmjzlKZtqR2XixGgQyT2e8SnnraZpVpNsNwU5RnsdG7KDDKJXDZdCznq3686pj5icVEAcw05V +iwfHrBeoQ0+ocszO8L4EqJEVSYj40W0tYrEzDM0k4SRUc/Rlvo4uaZ3mqJIABe8W7DWXXMathsJZ +BYl7pi9GiBirFrim9w31OSkkR64EjZSgdk0sFIsHvquBQ9VQys7aPCo1uo5OKfkg+my1TfEkmS0F +3JIr1KAco9aeDqTZNlQi5ptl0hEGlRFyzcSGgrAoxyjEUrWIaBP16bFoAzoqyaQpWkcPWoW4ZNVQ +hmavdoug46diVhDbqYaX3GDK6Qt7b5bMQ49Zb9KXrdD9wAD8fMeKlbv3CPAUIoQequihRSZ9wPml +vNMwexfRvISoTDWb2kIpH70WaG5N5SuuXeZBVgGHOvC6rKq4EbEYWyh6BT0xhi7UrtasyrXi+Oce +1ZIpEWbWMswsoZ89uq3p/i5v+freke6d0975U36BgGGZwT6JqCkf81Il1EPbYCIb3k5g4oM2MmQT +OaxMqjCb6a0kok2APdJqYnRdTWxaupVjZrJ2EKQwtJ+idBSLtXQwho3TShXH0UFWWT5JwVuhqb8g +WVJQJquAnZDLiFfFtah9wsRapKo8JLbS7fcpq4qlvipKduS9vmFkzsVUvarzzCF1AUvXp63qFpI+ +p6aHovItmW6dijEqGEx77ug/i438tsWe9rFkljQvyXKEVkTD9dPklizDg/wewlmUaPzH+4wntyNl +39YwQ/wtqXVruieJmUWvFoRuSnXq0dTSppq+Cj0blplgL8xU61hth9hmvJT2XwU8lhBVr1YjSpQU +RkJknAM23dTqzQnc7uR+q8V5j9VumXoE8oY/+2282WEhBF1BsBR+o9QnS2om0YtkiycmA+5QFr9c +lLkdG4ph/W3vZ672/HzvJ/YPZc+wnz3yRz9s/B2x0ND84ltKmYMn4YNMxZu93kK1Xz/bGBmLvVr8 +WgRlt7NsjWAceXtOe6nz18+WojfLI/INlL9jdYIdhyJl9642CIl8G8S6cGNzmMUZJOrklR1CHiKU +i/KyyLU+WMhmCLhoWV61t10yT6B2jnhoihIQUupaOLxUuYKVytaIucmJLnKGn+t1d3NWTuQYWQEn +egYpM+TTYSIAOXuoWrA6orw9pWgTMZWqxCVxgZDTGtpH4bSgonkFh6eflBc2o2TOFSzcuHXoiaSO +qR+0e9ITAP5gxYw7INwOOYtY85LkekxURAhVGxDZSf89hEiC97d8KJq9EeR+khI3XPY7oAw3TUAc +Q9UfA81BmRVRNZyeKCkfT7NqsJjVJAlHZFZZhN9KlvRWMCtYvGqVYgcyqwaLb6MEzo01RyltIOvP +L3fu89kjRBGZ6ZjokKuS15+D7wY5SPlFOatcpYCJMcgBJmwkGVi4g0i+RV1UxrYwuQRdU/bfkQdS +sqUIUXyzPFCg0rhbPqpEVYWCrl1UFVlyjPNOJ9KDpCV5ZHQCQ+AJ8q3oS8JkOYiA26Za9AbwRtFC +a7pKXlWuzSBXAM6uWqTmG18WQcXxTiXXcK3ZCyQdBPEAt6XFepyKhQnJi8m7VDn2clnlcRNuo/rH +NIpQgkYnihZdVznXpYh+JmPN0yKh6B9HiZqjfSvisur3d07w2Tb/RPFyeZBIw3NNVlaCMQeRMvzk +jO0GUKlSFWTZA4BsdWUqm/jlbMFUkmSVcbZEfqxV3Ao4W1X3pgE6JGfLe5hVOBoZhwsbRvEjoejh +Ctk6oCuBwyUsq3JS/KqHq+iGCyOUwxWKzUCYthwuXGRilXIPM0LzeLHoSuJwlTS3pjpcbp4XtpaU +LCay6XhjC7poG8R1fimh5ci/k9jCMm4Sf2qlx66o7sHkJxvkTAoHQiXBWHcoi5++gNDSjmRUBPT+ +8yN+nI7odI+NH+Rjsi3+7hGBQEI6+jt9kOOsyd+ZIyKqeXjEAQsb4cjUK77RSqDKQo9OJjOL3LjK +8E3mL6FYGfFBJrssibk5cOWBfCREwURkb69OJbA+QTJofozdUIdtS9oUplgu2l3wqVqaOkrFCpJj +4kJFqu+zZjWejqEiFdXMxFyZuWxCVJQIh2FTJgVhM6qvirqVUzLjBNfP4zElWkp4CekhIVosAkJR +g4fPvI+xIuUinFdEalRyTYV59jzLQIP6A8desGtlfKnKU/6YDWZdZpor5RHhPsdIPL9ZhbLGqD8l +eTH+kinAwBDjC51MU5nMrrDvR0qDSztKiVO76oqxw/eaKVMXPOuJ8wXTmlaUB3ksNmS+v8QkzRlE +xSYoqxyTmRMQkaupom0t8rikiMdBBurBArOXELbxrSLVRyAyyP0PSMg7ft/oTe1gYGThkfWrkviT +mZX+npIQU9jLkFqjRMb+rLapxjyQxL8kSB/ys7EWPvZOClX8J+xQJTITJahyhRUgSpY+Jvas8B02 +H/PvyxLoQ+bXQaXkiQCc5mMRMMZUaelAC46PXyUO3BXaR35SljrqfF/pprDJMReTxCpHkvCxpCzI +ZkcjXwUJNoMcJDcsD0pYMLUsC1xe4aOGmAT5eYZxLRe3RLiII4Pbxi5cocF5Oy7BNGNWzt/Ar1hu +lniQyaQM0LnuOgHKC8+iHCfRZmG8UnCxrBVl2+7wbhBfGs8sX2x6/tm0QXzJ7qqk0WUaBzEMBtIN +QEW9sqmbqV0soZVEXYYUEJHdqHuZ5dmj7/er2e7ot//x4tXRF1/9h3dHZ9dXP16/fvH06OXz0x/P +j66un54vg3OUa4+1GYzbM2NuZKeiWHvhVkW1M0mayYtVTG6j2l2Ot6ASixFDFNcFJ5sAHcvmSjFP +To/cb0ftdRGyFcHmJKu3PTFhgaJpVH6PzsrSD5EKUAa5dTOtJZJc6Jy1agWv2brva9ObAneNgULo +ULta1TQHx07xUtfxDIvChZTGovSJpiJIBAlyxGs5aYdsamUGGgA0IMGA8EKBH21SEL3q9imLD5O5 +oKOaIrzUqcOUSbdVTVaZRD2ZQEnyhFDYRw/MV6gekMqnGekdZQ2a6F28+qy2NPLpyWIx0amSrWLg +oDa5wo1y+unPeYL8qYgNyF7KJ7KFgYnKQwX+mSlMBCInRcOQHWkQCYEjKkbq8h4NIlUeUiac6FbK +spC26HW3BW1Oi+KcaKNUsEmYHUXAZEhxRJXB1mQQSlpr15M8LWo0392As/37cimCN9ngSIIZn6I0 +FV3tdeMNY8jnEOGPFXBS5Jwwb/DTq84m2EEcfyI5RF9dtM0egNlIhjU+RzlJsQAi0oYX8KY4DiR+ +nqVCE3NHD/sBOcR4b8g1l4RjR8Ku8ucLoKnqpOVIV3kgu1hzqdQh79e4HDVCEBjPADuO6Lrz6yCv +dhAnC1ErADtUK0/Y6Pi9RAhxn2zBHURnWfa47RDfmrRNQFxRBy7pAICNpmJ7lRWESuh4NRREExor +2Xe8jqAWZkPjhSflC7TEV74gSkF/X5qQm9gQhAi9g6q5AMhGNdirPG+Zost1BwLcfPS88bxlV7sw +0kwiVjCsQGcJhco5pDZhEcJeKOirwCNHmWhFEgspqrmV1Ws+f8RmFMTlWY5ICwwOFTnoelKTNxPy +5vE923+qcdzJRsboJpKlkwbwkBLFTGMMMMP/TCEQPUJC7s6M/IVxUPRqRUWyU1UDVkgj0m+I1Osy +G4AiudGqOmQGoypyq6aIxv4AL9SQTcKCjz4lsdE/BmY8SEMUYRQGzyEa/D7D++zHojMbJ3eSV8iy +F4WcbiKiAhG5ww8xVb1sEFrIY8WsiTyjySsgtQfVQyaagISmjhWtgPZp1R1ZZsWYbq392b4NoX16 +Pwqm2wr08kdf/XiLolnF57lP3SxseFDrssV8GZkEYC0rrebdbYr99Mn+HkXn5NGR4jmEwUzPKhnQ +WNMkdm3CzLi6auwJ4uqWAY2Hx3eYgRsVjRczrDeUoROJXMldvTHdR29UtpEwuY2H38hO7cNsP3uC +Dyp4LUqV1yf7h0eW69ckL6QjrsjVjkxaIOuKWHKclAC6gj2MjIMsVXE04iVTswqcPUiq70s0VnIT +m9ol7L+hClirSQytkntk36eu/aWZIHvbIUco6ezppMdFO+FQUf5kpVy9l3snA5bTsrw2bDQduiBQ +4C2Klsd6FQOCLtWcrvYiNgHYuMUK1cS/LNQkG8N2W/ni3u9hIKT/8JNOUZ6kuuhqo5Mqb+YlzE6w +T3R6FXQTSmVhQAxfRccxLwMZyeiEbJOdxERd4uDAIkYpnFyy7d0cnDACtTlR6HKlW5FIJJ+upHkN +CQsqhTFYBme8FZNZkJCVCeKzYXIm+/el2o99RScM3zEydFHUNr6EtbjWCsswv03W2sW+8DUrGXAb +FfNlJOVYLL7b1NEpDPmkkimVEwry0jB83boQ6Y9AWm5xwr0YzluTKsiyvEnAQjyZ4Nr2DlFjMq1v +k7GqOEGTdXHMUA7TbxiTgrqSnqFCon5VVEvXXSA7RksAW7ElV8mlRQCu2BKq5Jr1anIcspLFMiw3 +tujIs5ia95E7oFSMHr7cmk4XMXKbjFnS9Me9ZG1ndN/1+LV03PTKz4hKCgb3YoseXGjyB5aThH9x +Y7vvYCZ5MT92wKnZmPQFvfBgMUH0lMu9o9D7XsWUzlwjjWcAl4NCW4O6m4isK6qt82LUi0uc5Vnb +XiO/OJQV3It133m3k742bskvxVnEx2AyV9JvdjlxFSfeNn92mAlD/AiUf7l/3rJ/06C7OYFkiWw3 +yGHxqtF76RTzwh6WJ3qrAKtOsmZPwH5EpmWIWvdlkhMjwvRwPsGatW6WgCUZiwaY1JP9w36ywSff +j+j0bsZ5si0Tl97BFDB1y+mNWh0L6Wmbsvjl/TAF8+NbP9/7if1D2TPsZ8sMXfyMiYbaqnhYrpZU +ZnmktonfmSogunor2fp4srdn/vbWhElWiyz3UOIPjck1KoPTeoEzvhVYRW4hax9P9va8gFPQC+qE +d7SF8NkIUNSXZJFDJBSVnUykNS2JDH42v/iCHMwYZb1KzI9TWHAzQBUTz/DsaTD9oq2zKMJFr5O4 +MQIlb4xWe92Y184awIe5+At4/7cXB+TNxQmGd1sQoUJsLo48EUAtzF4LKmFujADEzcXZaDsnvOh1 +EjdGMMmL0c5eF/PaWYMzEz7ZY7+1OLWYg3Z2UisgvsvPLYjLoS3IcxqLXueEFyNYLg7ZzlJuW22D +KsXLXidxYwSTvBjt7HUxr5012F4cO71XG0NbHmr73PJQL4jLQ70Y2jzUi6HNQ70Ymh3qzYVctJ1L +vui1Gix7YwSTvBit9roxr501ONt62d7vGxc23riFcSDc56FrS+H9Dfi1ogkcntivdilL0BzsAH+2 +pC+/23x//RiWP/pv/i1EiWhj0N6i9Pbde1qq+NEvlX5xsVTlF1mq9FDJiTUthfFl1FoSBHLSi52r +ouuMzC59gqY/2ejkFvKikxe8k99s5RfaXM3HHNoSxMtJFl+yWfOw2JXJfqJcJR7nMQ== + + + +3MEBUQeSVbaiJjVEk8VpYO6xTPzWmJCo0EpEnCQI2Kqcw4Kx6VMYkW8Bv64Rf05ZWlnAAD9SX9O +MlINQvSI/M1Oskuwm0vrczOZFE3p1vuozpvAzss0o2BSI9tgEmIyfGIiQwgLSSkrfoMcOj5IWwpD +glsfedPFkEtfkg6c+M3ZQq0R+zGp/y95Qdo9Fk8fazPUaYozSpPj4GiuyEkRgyTEF/czUAWxQXMh +rwkHOYt5n3YzFyFr1CGZj7uHh6VqbJJHagEmOo3jGmSJo2MyYCEpIoyBHAxDB65YAM9xNEQk0zwW +AC569lBITk9ebXhDCJIGUzonk+O1Jg8F8rbzbgEEVaoAC4UokH/2e+AMJoXFVFLfFTZIx0XwIuT6 +KQKC0Nx74o7pAkkn97BIOtUvJIeiIIrq1UVWFPZIyDUgy1ClmUfPwHz9sa51OkbQJCEBguwV2fzl +4/QVDo3hhQZ6oDiRSpiokM1CeQZk7k7iqfde4JNHX487/g0hmigzCAEdK/2jDMWALLQUmvA3fISz +KYprKanhkhx1XZYoSDY7ueZsauR1YyMyA0IICMR5IRgUo/c0SJCfDJ5Mttw2czYMPhCUxEANJAy6 +4EuVA+rIy6xweKIA2H5CW2DwCjCZWJYQcCQSeYx/evTtLYD+x+TTjeNi3C8VKNkWCRRWSbAhq2+J +bOMeC8krGL2CQFOW9CjiXCXTeYUjdUj2Hr41H8URJihRXpQYBIojxyRIQghiDsnjSrK1XRY7wfhF +e6AwUOKarcG9F8kvoIstWUSoX04Gw4tNld8Fa0XcwqtFJXP5lALO4tQcRcCTIMCSaMjp7HRwtM8U +XfMTbmvxxtoQI0eQqQ5/ViKGy00jOR8yqPBn8Up6rCQje9/DJn7x9aLFd4Qn+fry/MXT8Zg//49v +0OR3tzb5y88/bkFPKISTsHaO71Fme7Uj74oeBnnxyBffOgwGUa0/dBYaMCSRgco4C+bq9oScwEMm +gBmhVsceSVr4DFe1l9BYeUjByOl5ALiIVjsWc7W7UMA1GgCi4yVosYJYwMcJ0FDhk+faMCc4dUBa +k5UV6WDoVW7JyznSyB5KSyoYXX5eFhGxIelTxF9QYvVKHDz/Z21ble/pYDPSRAjbBEaXmAUejaWd +IHOAOFiPF682MZ7C+gwhuZy8+xkJMpk4WLE+GtEYT7BAOTr9YGhODN1CHK/Tcl21g5hBzdALKQOq +oEMyPV9JiZkjjRm1ZdomD5afmJwnbIXGwo6NHAWLj6dQfLAMddHlHk8sZ6hheUowCIlR2cp6Wld0 +SowMUGPwiuICEkmeGedVWWxidlxFRmFXCQ4WP3AM+1TJbYg4rauMxHYmIXL1S2mL4CxiAx19svdI +gQ1Ac9KiSaQloTXEBU2B1F7g0HzdeFNS5uf5hFFLbHAjO2sjxu3kyjryQP8N/HbsOlgzxyhc4Za1 +Isy5aq5GYs2c+4oWyCY9QQqoya5oiqHxQlxTFDchL0qHDKqJoCIdGw6moKtraK2YNfSFnl8kWCIh +Tix1hPaLQBV5RNqRFD7jvkkKYzGY3sgmcMlkv6dbjsRyLFrjMgxxsS4E7qxUOWBCWxJ/1qYCgaIr +AsEuS4pLvNcSSyACPX7PAQZnuOMVdzzIq4DfVxmWR4VLiaUX8NAgcjZd7YBtrAC8ZWU+gMYVt4R7 +Nbk3BDPyOVgHutj9GCyVaLhNzUIkaN94AQhDaRHqpFvIvEgqAlCImLYEBOWZvCxVjS6gzfaKXiKp +IEpbbxEpidLpRZygLnn1aFMbngTGH549shMQ5bByLONjBk91QE8IW55V3wDrJYBZn1fU4TbmiXiO +8E2yGuKKAoqCA0YlOw0oozsgLCpFy7dHQKuGPjOERr5svuKy0fmSO5opKp3E0xqnwZvEfYlZoMNK +Ls4rsDOoEbkZToa+64GCVbgeKSy1AqbE8VIyWELPs780ZwtdicVYZ7Q3bSxL8UFVRo3vmEAtknCC +AbWAuB3DY7cwVkB0dmKt5JnV1UrgU+RzsLfeBKMSDKmm7BQlyMA5Oc8Kc+lucNXBj6oyIacpSmAy +oJTfBHg+g4Su/MZbgHCiJA7OBDu8/10yX/MCzgeNnoySAU+OqjE5yQLBm6VB/iygRFxXVhn1toXS +8NRrNAyp7YI/oNezmH6+dQTO9p+My1sjdu8vG371PmXDZQLnmBFsxcP1irgkxJ4gLolDA5DORL71 +LC6M+6cSspyFAmXrEqJkLxWN2fpzibfLAX7OcgwTKUGRvNiDzAGiSoa1IDf5nhARWJCbZEX+CRYI +gdjweYD+HGZgBWWyGKqEtI1If0W3TA0blBfP2pL+Lk2D+JPlQoLTU06wokIPHT1pSii12LZ6TYrP +yFB4tK3YdnLSIFfK5MHxDhmypK4t16GUhwISHt19uSTA9/60fyffw8HTQPpxByVgnfgCY/iU3/kA +SUnfNoJThgDeDOVInpFmlicOO70EWVJ1kCY2QR8pa0wKcQr63iXkhioC0ZA2Uu5GBZKU7FhgWiSR +RV55EkyqbijZt+T4EBKyqgYrNhGVa36CTWyMMgq5AiVO8TecxoRgi6wD/gQDVuewZwJdasqbZBZA +4uCkp/6EB1EyVhAZCmViKJGQOO2n9oqgCgpB8spNu0R9ctPsbXV7rll3QgRZ2qoYEALF8sJP+/fy +fR0Uyks8nkp6LithBRNsN8Rrq5jnikQSXIGcOT0kGagUrLngn00wZ+/PQFIpMTDx/dDnU841Jyqs +fBxlfAXVpjQYb1S0Z9UqMhIbM9IF1SiNaOG9u93+9L5WmeCYkedBhrJmEgk4DdkVm1p3SMHKHiht +BslJ2yLxxNSWrMA/qawcYLFRizNNWc4QQSy7qb5R9THCYxqajjaPk6GQNS5XiXm65WskDciASxds +GIgl4nPzJpBEKZ8bJ8XXqBJ/5pyTtMIcqq1ta1Jcupordlfnfe5GSmx2o4DMgEOVJQ2q8GjU4mNr +JVRLDvIJGnni4T7oEk7xE7pATCXxc3UgRKT9Y6mFuJpZIgQfz6h30/lrZCk3QyX9GWNAWBzXe4Gl +eWe8P//Ct44yOyUF709XTlZZIlr6P5o+7PiIbxTzapBkEPK0qqlnp9tf9taRSiaiJce9ZdjRyOXk +VRfWKFHaXc7QyaFzdl7JsC1pDHI3cwnJTHImClLp/fxo71KoVbpDm2iSSuD2z5FRR8wTuVpyLfpy +iFDou9k+M0WAOUT1pQoHSBY1SsIC6d7+hCmX4lQlVbPTzvK8z+3w3bYDJm76dJN1b8KW9NplLmfA +0yPfLa6dRixO2ZAMGogUSSb4skgGIzLHD/ykL4Rc2yC5Qi6xZojBoRpLBcaJhDRnfCxrnlcc2IUs +MGS1b1ezypGZRPsd+hymVoAM2Z3v+1rf1wt8Gd50Ky7GBhBJZ0nncBYqyMi7zaezFBVCJMEkcSwV +i8kw59UCw6fpBMKZd07trLVqJDKiXPjGi/2BRCNBiBQgOdQwhUQZZSbvpJhrCaMbRN+QxrqoYQnM +g3/vu0alVDgOHrN7G+EnBFFDaB2FuQTNvsEZSaQD1bWXgZTRafwPBQt0jCpCiSBEtdcECWSmFCtc +m7mRKf6ssPGxkpjnVbpsbNah3BzdtM+KVPsUX7w0jUl8dGmWfn53CzmQkq4Vy2/iNUBBvHDY/c9j +92+Fr5DjVkJ+Drv/Se4+Y47ew8NBgWFbVdKWdcNufU+2nPCivER16RKGAGkQI4FdJEaVTLteLTVV +qoRQ8EhVy2m3qOoujg7VcxKQxt7yUeeocBmC14eqjzzF5ojeoXZmiiGuHXkZphmMLJLizBPnxt5p +/STA7Xvx2M9pRe7Hdz6XFXn5ge+iJEtnnksQrit1Q4lFjqRS1IJieEWDFV5D00lIhg6WBEymnnUT +otW1kTVdIBGR14xM+BwexT4My7pA+cs5K7V4UJHUvKl3L004DnUg+RUi5cuqM9M5V7/mxB8eHtLB +FHNnGwJli1G89XgfuCE9CUHzunHKoiTO58eMQpfAMbIEWt7zpClbYpXcy4p8lrynZIvENCltgGTx +SNFMJfT0dZk7EvkLPCuhjlRmRBi8GmTGEw/ITJu1u3lvI9Ud9v1T2/f78dXDvn9K+/5hJbkdA6Wm +3IFwTlbJXLUowVhhTeFCOAx+JKkogmQgpZWGyFspoUpUUA45Q6St0xSm5OGDuYaUjaA5hhg3pRYq +L851ghNmiRTJxTKLOHFZq20nA/TQTJbfndv9xbnPcFnuw3s+s2X5BQW79xyRFO6fr2RvBAnl2Uuu +bAfbGJkCXBkcJxE3HsWrbiFvxufs9q3VqS1rSQ6ZrqSH62FoCYyvqwDWcQ/IEs3eRkNCV6tiVzS6 +nOIvmCz5G2CPpfxP7KZcEqlfgQtQekLCEF3u/ZyEgLP9WlC6DP/ri8EFZKrgkgqKzZWngvNCaMYR +7XoPdaOLzQQWlAHF0YcZ2tTUKUNu5hYQzUeTuoJ6I1T+hhm66UGLaYdMuU5Sm11oJH5CgcMFlS6L +2No1Y52u927bnaG9cQm556Slgsjbrj7dlK1nyzVAKen8Dnm3j901vOOYaaK9ecQokzQqYyyPWOlq +51qepmYZppdUy35px2vjM29cF75Qkr93ebQoe4fdynmKNDx9Qdn5/eUvGRYZ35EJlYziKJzLwCHH +jFKZ1xBOcCMWf5Niv3yyt7+35Ts1ItHs5ogmmcropEW6Ficeptb2knsXrIdmpZBKFdy1nqzdL77x +gDREA2zHSHorHpalCublJnl2vreTt745ttJ6JS2fAVLGL2/quFTwlDMnsqxBRRLvbpFt+zt7N9sm +ddHzG5aJWzvlr17zLRCbE5zLJqdcHLgt6kYfv+hdSlt36V1vU6l7bhOBYzZv0wZlM6fITn90mxZJ +luatuu2wJs0x7iX5pgbxZ0kuROSkaV+4MTIq0GG53NuD7Ppdt7hqLayNS0Kd1Q37/+UmmSuHx5l4 +aujKVb/d8+JUxH1UyeBIiXZT0Mu9M5C7Ty0imRntMTcQZY0o5bOm3eCgnO0tK0jPuFOUBWTt+cne +7/0C2WHy+ys409z2vJiyEfa9Gxq+U2hmU/H5ABHydeumv1sVnqx1XTd3XMnsq6K4usW136ZsLM/y +GdDsOZxKjfA1ls5m2X2mx04HA5WKMt9GKwIhpSUoSy7nSBMiYikaIXC1ABVVJcDPtZbzgqQgIspH +KlYqvrsJBi3KwiPybpRYXxxxCS1rFMwu0Q27oz9BxjLAmGUATZPeEVlyYFFsfNakP01zbm5Rt7pA +LR7G1rEOShmEKV3i1Q6ZoyKE93SBjVCxy4SF6BpbrsQT8KmKbNPo97Zeq+VlIXmyqx2QSn8I1L8V +ERc0oxQSQVOtzyBhp5uTmPUltmZ2YlM23ywHC9gjLGkHtLl+T6rtWOsne/t4siWqSFqCmZKAwuc2 +TDuUWK5npDWhMGgtFsJxLZJmzEtMPKWPc3xaqCkQliT7i+O7d3FgnWyMl2vm4LBWBw== + + + IBPlTmB9SIhD+NMcLLZxNDMtw4LKpJSnrqOWuYKEWfXQsnze1flr/RJqUeBLPuNLauegePOakWuQ +9STpICCsmPtFsDW5zYpU9kPZO2nJXjkujOm1rCvlJ2vJbzWNUrOC22oi4krF8rSIFpcDlw4SYnE4 +7xmMqDUDcsz1QtMsdpIckv3xnTrB68oB5ZttK24JJ4rDFlbKMIHaoLjvIpD73rcH0GwJm0Sub7Zs +EjNyAv0PCwOq0HKKmjtL8AjN26pQcdViRacmVWs9UB7wrMVhlYM2jcrm9KSUiEE6CAi/Xk51qvcT +FN+CbUCRcjfy+yiIEKJyET1pKnyZ0y0C4Elc0jZllnKmnKSoGrXoIGqePgp3kCVJWtgzCzz7BEqI +7l6WcpIgIkUeFybXLGAtQz5LZOg5gVLRnVZ2tdkT3k4kAIbWPuYMnJK33145/nl3yDTC5FC1ZBRW +lNJHojYWpfBsKjzlpKdvtl0cFK751LdWr83rw6skw58119JgD7JQVOxTK1BqlQfKQV8SLAh6dBeT +95IHXLqUzM4LjsJpPaOZexZ1lXvQ0lA6Uar4lrXim3L8jS8xSlU7SMjRqEW8W5f6rswn9TpSMtSe +44JLys87gg65BJRD/rQ5VjfPfte3mvQCu7uEBWAQJ5UvgvefatuVqAXfcJ+l2vQRcuEq77FPcVJe +xLxRFS+WH3qVuI7l6eH8rRYWvfhUtsLiVJnNa+I0ja4TaxDl0294b6mumIsLKkbpkM9W+Tbl0+My +00TkPbKlQzmpaE8Mpw7liGGuRxV1PhJYSvk/J9PqmuJhkLuzbUoRP7eianpGqOEU0eiUBXkjveE5 +Fm2dlSSeRPpm1xLyswP6Kh4OMhGw35BWRy9O1cjSzd8XrXFFK0T8RIhOMtzQ1uI6WY1yqsSnUiIZ +P0pCwkS7ZHlcTbFQNMuQQplSJWCLTnvQmszKzuj3Gq9KSbxl6+m6epDgelT5SZkmwk7aLPFFJSF8 +WLYF15ZYVZXh9NlQGbtIpL88UPJu8/chOeirZw311VR5sdr5oySoEkVN980pTcsXugXjIvWdq9wS +Watvc7Gc5neIWiLIS7y0vvvI8UQ8GDy+Rrx7RGQm/xgJ6XrcGYFKHtav9AotY5xWLY9RzcWjZ11F +HzkrVM8IOgVjCrUpyxgbki3diz4FbkYODVrvEltP5RwyaFa3zWhJpWKhaoW2bPlKKNWMuO0pm67W +rXOtIv8g49z14ziovYj94bGK6lFNZqlujb3K+6odQLUgqzkUoqkCUKGf4vsWkR6WMEegA2u2U6QL +SVINqn9URe7bEbxPWHR3mz7pLTeZ25NlbNtZS/uXtcodY0LVSovkRUrGuciaDlPZFcECOJC9J8mC +crLze02OMpsGMQ5tNuT8HNluJsitTs4YNUfOkthsAjA56auOtkq+lVh0VLf8vsq4hLXrYJvNajEA +6DRnYK2C1WOxoqGSa6EAzyiSijKchjJaLNXMm0W83UdI36HYQ1KNmGsMG8Mi4mIEe9vu7fWWEVTL +glln9lLKbxch1abm8sYa7IxgT9u9vd4yAlJUIRX7WlSuZRivCLuaEjUhJpQte0k5BL8QmpU3Jmd6 +QfAVRN1aZzPI+86hkZ882ttaHg6VYsu8M0vi4n5U67cs7xeE8zTvh9H8Ylh2E1m81J9H6zPMOxeW +gii1VNaJQ9+XN1mv97wdu/zh5P0bNvv7tOLNSiAVdg+tUX4beU9GzE0j5x/35qA3cZTE6yvIg5rg +PS/S2pMgYpnmGa2vxnJfWl90cqnKEJNZzPdx4QqVlO9twzlqP9WSFym0qtpEUDtRtZIXmdJWaHL3 +rKlFOspyqgWezUNiebHWu31rcYK66Ibzx6kHupoknqoGd1FaiSQ1WPsy29xOJ+idY/AyRpMtzo0S +l+SoJYVtUSLp/1rJYRFj3y1hvV8s6m7f+GiaxQGSJPix4ly16jralCghESpxo5C1kqW60SZ5t298 +lCB5TRNDFwtr9sUWjDZGx+7Jmqd5s7vtkp972qUTIVfs6SY5oPCy6Imz9c5IdIh+sUtcyuhKr1Le +OclK3Ty2g2M6q7Wx+OROz+LfuaUmj7wu2Wup9XnW6f7wHnGi/qB7JBqUkm0Vya2EraMkn1YqJVrf +Sc/6Ywmu7JpEfXZCmUiljBUxSZtSQlyvqJe2Q3E/OXhhuiIJ2Uj85CnLy+ibLZdbjCTqHSVysxud +dJs3W6dqjMkv7n+OVkZjyS0ooQwG2Bd3qMxTvhwgpZvCNgS9Wo/ZKjrJi23oWEG2ttq13d1irSYW +tQqJQ4dXOPzJNmKG6vtih3+DXLVYTU+LkTsUiJdNjlqsZveTe4pbMGgEdYtmbQuSxCwd/vw+qc9e +b4LziyPpjT9Ee0XqPGRxwXuoWCZKm5O9IcxdUaYRxVOkW+u6Jrrn/IRC9hggn715bKr5bUng8do6 +G2NfvlAE8EUnSJmjOx6sNWcZ1uloEnu3YEgkWdksu31SYT9cGvZy70or546L1eOit1e4AZM8L0Zc +PnXz0lEaKXsu5qJS/Axubl1wtN1P6inNwg0g7quY4ANWZJMVUUHHyYrsDliuLu5kcu5mD11YjDy4 +xW2cjIvM4lYcLGmKGZeAqN6kklwU1cfSetwhj1FHI+/MUa7FvqJjWcuLJQF7qQ8L1erJ+aLCEeWV +k+KI9F6Rq0bPWG/wCUVbIpJmBRVP+rn1sfM9lSiqrWiQwspX+KTnrHo8E/skVWcOCS4XZ8eaMkZX +Jc+zEIrxzr4Yoa/IwkfXzgbIdXADDvu8SPM1JR7ad6jLml4+mTCxvItU+lttSGzY1CcmGB8M89EI +i6O0cax1huMIUlbjy/2rh2XtYTG4KYpzZTK73rN0RVyc8Vrs7Vs+W80vny27hhsfAhPeV6PMSs6Y +/NZhllx8OSiLY+F9wcuwrNTaeDAVapRTycW8lDvZ1mx0PalJMilIF1WrfrblLc8G7SZf9xxH1fUi +3759kGpXWevZycaEF7si5bRKWBQB2Ky71VUIoqI79pXobKeXrafedBu5sLtKWaasL3s87chleM23 +yBuD3YaI3aZoZiL+9Q/XL/50c/Hi1cWLHx4/FjLrn8u/ePSHH+lvvJO/+u4///3bi8vRzaPf2h+P +/vXRb//r90/+cP30fPzxi2dMXODU/3F1+WL83WP6P1JlCai+/29/Or18zX/tUUV7+ZevkKbut1/d +3Jz+vP3R838/ff3y5cXpi68vX/8aH/9y/v3Z84vLpzfnDMD/7QZwfznCixd3jOqL765f35ydf3X5 +4/PTW5raEMN7G+Ki0TgeNxffv351/pKajb+4kPaLSdycv3x9+equiXx/+xb8yjPQ8W7O4uWrp9+c +/3SBqIk3zyWtYyKbQ/6XN7X9l62L8cdnz16e37VnK70S6zlJD70L17z6b2BKq7gRT3/+SO4BDXRr +6P/4WIb+j7e8uN/9eH72+vL05snFD8/pKf7Vn9Q/XQ8ZgL++Ru5x55F97N34zzo2f+fY3nlqH+fV +DP4f24P/552DD+tZ+n/eee0OD9eeGbwc3OePr29rtopX6+Wrny/P75rHJbjn47Pry+ubf/3784tX +t/3mV5fpePhbc3p98+z07Py7s9O7p5ZXMo+NIW9NB2/Yv/3jx+sX5y/uPHV+JUxjd9z753Vy/eLl +q9N7zGtd05rDfiuJ5OT66sfrl7dfoJVrE6tiaZ8wX754ET5CW0fYnsb1j+c3p6+u77Im3X7wfuUp +zPF+TpdaTtK/35z++PzibB0b8dCrfXnx6k+nF7c+Jh/L3V4Vh3qHe316c/Hq+dX5q7Ucq+X9Xs7n +b7cZOGwmKxGqaKBbQ79NLlrd0P3O0ONHIvPRQLeGfucVXsvQw1u+Zb8/v/nh13jH9nyV/vXjfEHX +ZqK+eFsPx0e+/ut69u+x+u/6jQdY3O429gb3m3Us4ANMvasZ+46l9+8XT189v/O1SGsZP4a7OYfn +5/dwYaxoEjreLcH76V0z+Oo//vrV9z+cP7s8PXv+6vx3py9enf/+4tV3Z88J9/Hiryt502keb+Qv +v/3m/NnRl6vDl/zl9c33ry/PX5yt8pWRHt58Pl7dNYNf+SRYj2+tKNNM1jGH/Ury96cvz7+9Of8/ +r8di3/lyEUR8HZPZGvbmnF68vvrj2avTn6j1myd0m3bxK89mOeBtv9HFq7Pnf7m4vHsuL66/48br +mNLGwA9GvhXIyW9pGlsP4/qc7N3vX9tYi6j49rrGWkb+QE3DrWX876JprGYS76JpkOtuXTrFrpLw +P15cvLrzib/+/r/Pz159ff36xdPR6Ovr267QrzynjRkcFKYPoTA9uzkdAuTlH64vXh5UpnWpTCth +PO9JY1oJQvmgMR00pl/ylT5oTAeN6UMvwUFj+lDjP2hMpDGt5Kk/aEwr1Jh+f33z4/Pry+sf7uKm +H0TmuDl9evH6zrNxGyrq11YyMNhteeOTEJvuK3Y8vbg8XUuwyy8netyL+X5z/vzF+Yu/ruR0fqw+ +8E+BQZV1HIEDgzowqD0MaiWn88CgDhLUgUE9+uL85vpWVPHnxZ/+bazExfnNQYY6sKiDDHVgUetm +USs5nx8ri1p7Kr1PPX/bL3M9xq7+75Dqy7Pn5zf/8/zi7Pk/6f9enN+syyZ9uC4f8rrUdRyFVV+X +lazR4bocsBWffKrWu6/qemaw61P91AWVQ6LZ9dzkGcV/c/50RYmVHnqvr990mj74zT4kzF1hwtxv +L6+v7zpXH8aqdq8bzAkq17H0D720K5rCvtf4HulCn9EZQq7Q7y9Pz/725ZGQrn88Pbt49fO/uuOV +XA9LH/oWN+QjBzWv6Xh9Hs/03QDttU7oE4Nrvx0ffvn89On1309WdF3uMlZsc6pvLp49e/3y/IPl +vv/mghPkrjb7/d1ngBNfryQXw+5jfH45xnAfvbisJAPgYsCbMzn958XV63sA8eNKsnzYeN+7WfUz +0LKfCltaxyQeKqWvahJ75PRPKwU+VvsjyxS/M+p9t+VeW7SSCW2MeHMymyUi7prPiipIbA/8rSSs +D15e6BMRsdZxFA4S1kHC+iQkLC1RspoM8rfUHvq0hJRDnZ5VCSv76vQcJJaP3Hq9Os72ibPoQxmi +D261/nwu9yeECVtXPYIH3+11WbkOZYjWU8vnAWWIViIXPqQM0VpWPe4M/c4rvJahv20Zoo/8LVvX +A/CZP2OrE7YPT9mKONOhot5H8pStZeiHinq/wgO6XkzcQ3b/492HdYkAv0plvUMO9l96G/flYL+v +fWh1vODtxeo7j9QqBOu3Sif/qRXgWotz7pBPfsMmcHl98/vT0eiu+KvV8uKrN43+o+DCa2NeD2XC +/z6+//IN0INV8GAexN3M6sjhv/v+ZJR1TFSn9FY3/1NJePAJCC/rU8luQRcdEgd8JFdjfSfqoXfj +jys1Wuy/IXcH4D9eiVD/kAj8xyu51G8dgv+Re75WJlc99CrTLtBF/stqiic92P21Vg== + + + rvT5ArU+fnF2fdfjfVz0lYT6vrtA649X8nK/g0jL7yAB0v9yc/ri5bMPkGbv29cvzv68xvt5H0vT +q9Pv1/IG7zM08fD+817mjXC0EmPsxpjfLq3SOEn/fjhJH/okHdcjd7SSmbzTWfr6cJY++FnyHyNb +Oih8b5ID/2tIGd9e3KxkJlMM/HysB+vbhXc5T2L0X89c3jHIa2WhOZ+r9eCAJ3wgY1nbdXxfaLa3 +Z068mV9dXq5jHe750L31Wtzt3/BrKYr99jXV1zP2B1ZVz2sZ/7tUVV/NJN6hqvr/fX35z6vTl+c3 +r2/NYPTBM/EcSqtvr8WvLwB8AlX3/PFaTPzvVHdvVU68h6lHKxn+fo3oYy++/HZPwEq24q3zGx8Y +0goY0loOzwPZ0Eqc1wc2tJqteGs29DFDL9ey5g+9vSvBtD+48NpKxv+Q4kyrwVf+/Jb39RDQuZZQ +otUc/4eyn7XIbu8ev+nWIoe+p/jNlcDfPv3wzbd88FZyyh5QS+flj5enZ+dX5y9e/f70xzW+HJ8B +v70tu80q+O093OirOf67vvN73N2VrP6usPrzyfPTFy/OL787vzw/u4e+/NU6JrI77C0X4FtO6zao +8q/tDrxjWm/CitlcVnLWXmqi97d4Kg5ZCtagWqzkAD34qVuJdv1gy8ZKxr/7WNwvpcJMm3C080e/ +8cd1zPNjyKqw/Pjpi4ur223WH5RBPru4FRe1sMCcn/9zJbYXGe/m3lqjP/CI3zyZewSW/cpT2hr+ +1rm9ub660622jnnIUDeH/+r6I7Fd0EC3jMJ3sokv8m2c9de2Cr/ekTuHKHf2++s78atfXF68OD9d +SQWoOeat+3129vrq9Ru8fgvj0YuV8KnlmLdm8/TpxauLn+6cy80522BWMh0b9I589+r05m78y+Xf +T39eyWWxIW8ZkM9/uFvQdiuZAwb764c/rUbSfaimsZLn5sGaxkrGv6cI79sE7K9jEp9pBqqPHAZx +tpLT89ArvJbxPwgG0dYx9gMMYgWb8DBb5WqO/0PZz0q8Wu8FBnHIY/2LTOcAhFjnnfk8gRAfPcdd +iXfrwUCI1Rz/hwAh1rL6ByDELdP6lIAQK1EvDkCID74FD1Qu1sKsHvrUrcS8+mDbxkrG/96AEP4A +hFijRLuWY/bQa74StfvB13wl4//cvRCH3FgPYR5rObwP2u2Pd91X47r8zNZ9VTkL3h2v8H4RD/cI +/F1LzqsHJE3LKxn6A3OmrSbn27vkTFvN+XmHnGm/+98h1ueX51/frMb5eEiatrqkaR85yv3m/Or6 +VlTmClDu97Ng+CP/ZXBHPo//d0fjf1+OP49/fjn+YiXFAKbR4sEgfjnff751OdaE4L8HjtyvBVf6 +DkDylz8SlHwd0zgAyTcZ2wFIfgCS75+DAck39+LH89NX39zNty5ePD1/dvHi9voLv/qO2MA/M4v4 +J5Mp9fvbt+AjMY6vZwbvZh6v65jEu9bU+3irw6zoID3Uz6Ub8MfXt7Vdx6U+1IT5MFN4YE2Yj/xi +r+9avI8LvhJ36jve8FWJUA++36c3F6+eX52/Wgurui1P8t9uA3JMRWkdE6CBbg39tvO+uqH7naHf +hpJbGzSCBro19Duv8VqGHt7yTTtgOd7xJV3Jxq/Tz30vN9+fLv5xfvnyx4vzy7+uZTE/fS/f7uRu +d2vMxDPuKK/keVmM+eCyfI/M7/NxWfJhJqdlcF+u6GAf3JQ7otVavBaHfFcHN+UvPJ2Dm/Lo4Kb8 +xXbk4KZcjY1tzw0/uCkPbspf0U35zcWzZ69fnj8heO7FrUWJDyrQJ6wC/Xx+eXn99y9/uDk/f/Hl +uJnnX4436+KH6y9/uri+PH/15c350y+vb05f3Goh/Ph0o0sc98dnFDi/jmm9s4J0SAh8UJAOCtJB +QTooSB9EQfrmYuzki1dP7hGY9UEEmvPL8YX7CLVlJTbQxYC3eNY/L65e3yOEr61kIjbe9+Ga+9xg +fE9FQVnHJB6q765qEntU3tc3z8bj/t19smStJJB+c8hbwrKs9sn1C+bIHwloY2fU+27LvbZoJRPa +GPHmZO6lf20pqOuY1PbI30pE+O7H87Mhhd8crC2fr7UFthWxtsD0wkaXg7XlYG05WFt2DtrB2vLB +p3OwthwdrC0Ha8vbqeZ36oSXbxj6B9cID8aiD8ZtD8aihxuLXkLBWk1s236D0dvYW/xHYHDRZf+3 +f/w4hLB7WFzWMqedce+f170tSSvhIbvjfhfzy9BI1zGtd7K9fORhu6vjbJ84i/7MYnYPMfkf8nKv +Mr/Dw6735cWrP51e3PpUfix3e10Ou0Ms/noC2h8Qi78Sf9xDYvHXsuoPiMVfy9DfNhb/I3/L1vUA +vOsztpKr++B3bHXS9uEtWxFrOuSV+UjesrUM/ZBX5ld8QVey6Z9GTpm1VME95JTZO7UVpd74qHPK +HOK0V6RErMefeosb8i0inVfCP98h0vmPz569PF8nVuQz8Mxf8+oTU7o5f7qiu73/Zjy9szTbSorA +Pt0pzPb0zspsaxn6Pw7KxC/POdZ67z63QpirdfF9lIrdd2fPx6fOXxxShf5yc/rICwIeNKEVSX/r +kV/fXRMq65jIQRP6SO/CWiWyh2pCbR3Df4gmtJahHzShgyZ00IRWvQUfQBO6k/M+9vk361jAHd57 +J+tdz9j/sT32v188vUe8WHIrGT+GuzmH5+f3CIz8wse1TELH+y/vYAtYiYviYAtYoS3gL69vvn99 +ef7i1pj6Q86Vvedx7TlX3ioPyfenL8+/vTn/P6/HObjtcV1TGpJnN9dXd+LxjlcSSymD3ZzAq+u7 +h7+SFNo01C318e5kCoccMO91GoccMJus95AD5lfMAfMZZFB5awlBBvvm5Xh2c3r26vTyD9cXawmX +sx7fyixxthZX4gPNymcrUX/2m5HvI3qtT6bZGvXmlF68vvrjOPk/3Q1uXUtaiOWIt/1fF6/Onv/l +4vLuyby4/o4br2NKGwN/W+PBWq6MWAzewgL8kYcIrmbdd1jtIevDB5nCvbM+vP1hvJcF8dXpq4uX +a2FpB/vh524//EXk9Fd3zWAFUvr9JF2ayTrm8F5kXfdpCbsrwVR8+rLu5yMvrufCHyTGT15ivJtj +/2YdS/D2mIu1jPyBiAu3lvG/C+JiNZN4B8TFf57f/P3i5vvzy9cvfvjrbWk3DlrTQWv6+LWmj8O7 +8VnqTSsJY31PatNKZnNQmw5q00Ftum0WB7XpoDYd1KaD2vQe1KaVGH0PatNQm37z1X9499d/e/HU +1CciZaL89Q/XL/40ZsRlJx4L+WsqwLX8i0d/+BF98F999/PV99eXj774+vL09dDEvmXX4iN39NX4 +33/9/dFr/Ncd/XH8T/77t/Enjz//18/jX/6f8Yf/HqS/H6Wj3x/9v/+fO3pKv/7zo8e1u3IcYkpH +rfh87GoMR1dMzselRyanY19dP5K24+54IobjnpNn4vj73IO0zNHHozPuIB6nWLP0630LR0L0pQot +1ZaPfn4kPYTUuWk5LtknblqPi+s0gOCOY3JtEFuvx7W3SMQx2BT4U62PscbYiFrGFDoNq7V+7Fv0 +0rSnFJk4BpVTIWI8dt7XoxPqoNbRVsjuePyhUttKQ3Q8rzGUFAsT4/FoUzCrMvrnEVR/XCvWpbQg +Td1x99zpINYwlkKIybcsxOQ9fl/6cQ8+Cdn1zANgYmCiP04ldnQQa8wg+tYxgDHukIKQY01HMqgQ +HTd1x/SvIDqXuhBjLPP3tXZaWNePW5MBjMm6xG3HxvfuApbF58wtx7KnnNFBO66FBzD2eJwn7qD5 +MQPHHYTj6Go5+l/Uto39zp32y41hV8cD6/64+LF1Lfdy3Hri5eqj11QKEfs4j2OF5GyNfmOR3/cU +9Lx0X2RYqVeP49a8fGichtjL9tEc5FR7RtvoQhBir7nY2UzeYWGDi3rkc5FFxM78hLY1aNsackHb +MZqArc18jul2+V4aeo1d78wYOnZ8nJNQGiYW+GyNP7jEp6DTX1c+W3QlW5FN6H6czsrdjp5i4ItA +xLGfSdo6lzuIvrkqvYbStYNwnF3kDWvjLoeAj/Xc5H6H1PDz5AodAt/GoMYSy8/HtOR2jHtUvddP +xdFMiKXwovA10QsXe56fd66iqQ+yL+04jXtPnxpHIDRlRFtM6+TRs0fu2IVxNdxxoLM6Rl1aGf9w +NKO/af+9FWE0Loy7cQVyjXLPxxQw5kIsiz9ai5yQsVVNdmIQw1hobFo/zpXnN9aiRL46tJMh+YpF +87ltEcMxsSDbdSX7sfy9YYY9F4+dUGIbZ5THP3Yt+8UIymB9ssM5pIQlzknOPo7IxgJTB7hNfIZ5 +AUb/rceCTQ89JWVpXrdta/1k2cv40ljoMflI653GIi2XfVz+carBNOkoXYHaawB/dTlU3MJx9ZsQ +c8hJXw1iNLzCg4OBaQ6W4HnWg8GXUDu4iCzloNUcmNbGEYmxCtMPLeDVGMyp1cAPBF3MJkx73P2o +BzMVPu3E26IT5tqOe3PK8uo4ur0L2ecawJ/DODB4IqNxfSUSE/HBmO54FhL4kH5srECI2KJYu3D9 +8UcwsnFYmj58bdyyLB3Qw5o83rjY5TQMppv5FhHLbYkP6eCdlbZLOhj3qHuhjkPKM2j08NYu3DVW +W9fOjyEx4jpYKbagjDckCZXZAO3WWLjEkgNzZzz84zRmOblxPOG5GyeWd5M433gg9AhUsKACFjhl +CSfnTn891qKCXY49Br+NzWGtYzHiaIOnlF8c47ey23ThW83WQWpCdEl+72kmEFxCb8TvvoW85fmQ +02aW0HFhfMUp5z0OBVKAi3iEnTwl8lCYYNBy07ejZzsi8tINaukl4gnPoaHpWCV97OX55MdeRghy +y1i5IEIU9Qnm7YSP6e8Lnr80DhF+P4S71PF4VCcnrNIRYGllbGtyEK3GhasZb73vXWWzcfezkL3c +HTkizhcwrDKmcbT39TzBo9q87lyIAU1bThCCxjtov6/4eRmPqP4azbzHUaDzV/WNVeFhnKTaIP5U +2q8zsCjvQ5Oz6Gl5hO2Mbyc9tE0ElXQ8GDOWpA1hEveLWHti+WVw8ZoCLnMP/KLRrc0xQqwa8jAv +yTirNen+RVlLYe3yDPBeBXnRB2cqTRkPROMxBTfO6eQxTZZ67CtkuCFZ4m0Z7K7wM0200uXJcySO +m2DacBmIv3eVbEORa0PirJ7f3DwOWvbjKuv5c63r78Gh+FDjhvpQQfIJu+xTzfb1IUHrBtbYMFA/ +LghuFL1mGH1VATqUWKdcXXpVcVs/pWIxPZFN70RNGde00Rury58yvxGsBclKja0CLwuDwzTRFtrg +9okvFWsWen8H32yRtyoMObDxe0ZazFjTIoLEEA4rjhXxY4gRpG6oqBswMNJCwKLGZHApxqkouFSZ +xJ8kfKvTuTwBjyMtgamVzjgkjsxnZRDHYe56f4xYiS2cgMnmIRPKEgweGDGAgEs0Xg== + + + 9B71YiRm3J7mV6s9EeOMQ6ZTBshcQfS4+fY2XhY8yKGAAdDTxaIkk2OQSzhePgiq1AFY4Hgko8MK +MgsV5Y6l3iTjSkP5ORK+Nt5+MPTmoTBF64AkXafP9BAPE1ZwnHFvV7DhEObg9A5sPQFnQzza1oWZ +i14pc8o5yDaG0PT5WUhAujdZrjRPLdHd1fcrMnMncVukVFKZximhVYx093LH8w9RZZzOTDoAL00f +6ldjpj/EpRC9nk4v8n4YcpmHFjN2xCWc+VL6fL+FadFBdkXf2iF+QJ7OvZWjvStAkuNv/vrbr25e +bZhifvPXLx7T6zB2aGnU+vrrrygE8s/XryxF2W/++uX4n45iU83T5e3ZBAkYK7KuDktXCbRcwGLT +6AJTo2PTVGIKTi7puG7NMT9PcsSwuKzgkbzT59LWQgeMRaMsjHPsjauZpaixNAWfD2RygOZMAu2Z +6p1QnWUa2O4xBAzee9Vbtyb/5pUdG5jqvVbWHf2gy+g7eHMZ79tY3W9VeiKhi68LGwqusHAqK40L +XYq82PSO8Os8jmrwTjXDIJw8uGOTCX1W+WsctRREdRrE0V2Vpi1CiR23oovm1Re/HxeyC8MikSQm +6G5Q3QbL9qJW8KgLZJscOy4VWbFEnyMDRwz6fZUExnK4GlRLbAE2B2Zt0sFUzqcWzseJb8X4U5NB +UVeQ7fJQoaa8I+K7J4Ep6hF1tUC46d1sCDVF7EtK2XhCCyrIsc1FFEcv7GppRPDHwhPo3DvVRsky +UHmlSckWkdxj3Ek4fReDlj+CYSgGW3lY18ZXhtTo8RW1NBCPyHFzO4ZyGZOaD0hgD9i5WET05hYF +ypfrUe0PAR001ih16OMqRDkPQ8+LaqrIHifP96jKcfTyfnURkHXncmvQ6EYjj7ULvoAh14IFHZuY +Ox7A5CDt0uL3rgrF+GXQjcKzQGaTqsSty8Oq9FKjGIrcWEg8XHSMrvQ57AXPEQuKsGu6Dk1osOwI +Mb3BTDYGnkLAezp+JkIVCYoOD0RZPP5ODD+7A6Ah/o9H/eiL/+vov/7no9ePonNHX92AUdCbHIbo +JM9ZqqVAA+p6dUcvMUGEHC+0B4uIVXXcIaqZ6h8hQo/nG6YiGoQ8vmR8CIvviFDWW8XZGZd0Pv7C +sJkcW8WX9OaM21BdVKk8eUzWbIXLgQZTfrpaLYZ6fbR35if88NPnq9oJh/5csSLjdvgAbuR60xWJ +OLxOLN/ysTgYvRDZLKB6f0xq7Q2xigLmlcPox0BMMD62oazgCJDm05TszPQBTZEsyBUk1ypYP/MS +XRMd6vz8mNT4I7TS5G2nNudP69Lk1EhHPousk+U+6fqMQfkFGYsGmZfYOrQOk1XkgQhmzx9SsZf9 +8ElsyfQx8T0UU4QGDfILaGc4sR2W/9m0kak64CTlJmd2QUzC9HV/lDxEadG6ec2nWSHokvsMKbKS +XUi3x4FdODGBEYnVD+EhvvUdIu+ufl3JJDroTgZhGosV3Vn9M5zanVW9wmHug+0fwQgSsMEtdhiH +h3yTdohzVRZkNgnrsRlXEUcx5ba5K0LSTVGbyWzYxeEEVU5Y2S2LOsiqygXTJelLKcH02kLzW+sC +opr7nN45a1qIVWD0NUINmMTltizIaV7wInKgrGnN6bZT/eyRP/rqx4WLDz8WwyZpp3R5r7bI4wDV +oOucIhTh8Zp1TBQmYiXqSpeiK61tSeEqOW12uiBiAHoAlQxr2WavRWygmyMoS8OoDXbRdM5q0enO +CpzxK/qDMt9WobwHMihdbZHH5fRBHx89XUO0oPcVZ9PntiAq+wtB3JWLtk2cYZu9TiJGoB1MciXv +z2av8LBtjgBEXR8d7aLtcrrW684anG294W7nWA1ZYKx5EKOViyZ4jPNbG8jqoCOi7CoZKoKYMhpJ +QaIRkflDTwW9y4HljjibkpiUIVeHDmEkitzPxDQuKDoIqhmziczbbWd3KJkvkldWzVoW2eKKLdp4 +Ckt1sEvn0tUhzDZinhT7gDGoVKOoadW2rcG9zeQgniw2e0LPG+wN0s3uCtIFfn2np4RdFTCyu6Gy +YuHHe+PEP+OmRj9Wk3eD1ngwUB0M/5FnHhzMBERmBxCTe4XWStI/Xx3HrhJdOLFBkU68fA5FAWR9 +xqtwqU6jQXRO73gXoZY2rtv3ydPc4aYoXSwwjR43dQKzjRnbwToJrUCO1sHYkObViiomJPJosMeb +ieJ72Fm/21VheiNzcuWemvDS0N9NoYHR5AqTZGWRN4TFZjmyNbkqgwzRzhx7QHBkXLPj1bLYFsY2 +JjHGjAm12tHWD/kOx4vuER3DPniGuXIyaUfiKveyS62wx1X8O0FvLA9E7PRhGqqbNxuEDjPIzaaV +BqgiqDmXlBqfVWAZ384V5842mARujw1mby1OKJlYeJQ++4WdnA8eXxjaOVkQcZ3INSx6N7OPWNHF +3SQ51mP2cL2LHKeKuAtFReqt7XvTIRmaUPb3M5dMpnrXnyZCSLA9e9A+316eXl2dv9gC+jDIZxyD +sQPkw5F/lHGABPNDlpF7w36CIDpErSa2dgVTWukZqhHefvaIVY+nm61SQnTy+ywa5zQIerw35gwf +t7o1vNJso4bZKwRTgFWBHmfS6dPoStamzETlZWtJFOjp2SKuhKNIZDWfZPUOEJG1MnkFRXZgYoTw +3Ke1PWZV1UMK+qUsMBj1qYNoFhmGDOnndan8ce1iEDU3Lylx5I4Q4jiG+L1Xcz/Z0EOuEMn01rFh +PWD9SnPmL4gZolMO6rDrxKwVtUS6l9CEC5DxuIq/kThkTUA4sOgsPxefq5jpmpgBiM3wc8i2t1KU +yExGDMI0fjF7Dsktw0zXffTatHsguTLgWZ2M9WqBMY8sG5+xLGNYOarVFTuNuyu0msXb0RZMtBOA +zIGcusgD9HufYD0fR8JrB7HhpA95tlgHrNyJfu9KQ1uXFffA9+OxoM5g1yiLx3aQGU8jWlWAa4TQ +aibmA5fQx2Z2VQjYMiZLGOGTp2/B49bJulFg2YIXh+cKhBuZ01RM6mZHCTB9YV3lXgXSSItHrzBi +hSyGKZ2B54sZxm3XPRwNGiOTAunhYmDqSdc1NLFMn+D3DOfgtioKi71cOmXYBX7vWPsKZWFyIXKX +bmktxUFIYxXlMZBSFRqIwGGR001hSESOgngKbJHUj9UYzI2EfRlXvxe4nFIqeolIceQ3YpBZaxFi +ErdtGKwpi149iBHDIldvXHi9EwCJ0FV7UD8ar0pVYglYQPYJ66/BhKMTh4F+idXaSL4v0X/64EKN +WUsc3Cw5PQIO/t0YBKzxWPCQ/PlI56sarSVuSA6mjhPYBhMQmOdoqxe2kbGQZxqJncv0G8Fl2MQ4 +vuSqj/b98XRkGSsvsBB7FsfU4H1RFHAmVlmA5nK134vnhk6wWrIGFyoRJ7AInpQa6lHr4suVCXQ1 +XA6yg3duEINAHImYdE7CBMfnyT18humLe3oQHRaaWgb9uvKgxc/BTM4e6aoqBsn3ioEGnGgHxIAz +rFwS4UR/3NUHqvdkTF3Pszf+32gcHTfaE0BLfl9tTAnme5pQhJsviWaOhl19fzmaKFf1AQok4Tlt +Ox7EJh2Mu6cDCDXCtT1kr2JyaBX3eiDdCh0Uaztub5taEk7/6JWOhsqC2emV6qkrKMnJPW0GmaCG +UTefV1CF0SFYYv+AXGYBk9Vg2ikj6QZkAb+aGO6cMhqSKdFW0DUhmMV2fCiqS2qMvtkG4PP0gvWi +269Y4GqYEdoWV/CqeB+iLaBKZlkBKsteq1kUi7i3+FnjAZyYtmfWSyDQqFMPAWjI0E1vlDguyaST +0zz+Q+BWm5jixzrkAgKHKEdpulGMODE9v6prnLxOAjyk7w8RqoJYujodmgdiZUJeaKuTAnSABuf5 +A44+ZJDc9FTxnRdhyy0OUK+GscYDyDYJF1SIqzoAuMXIqtrN/jrejw77mdcBjHVTM+VQCZQEP8SQ ++nrJdoAqmpK4ZOgoJ3gF9jEJiIB2SnCbXuCudv6F1dCyQlqhprFg/ZxPpu6LrEduuGYneHZQpqGj +KAbTbSqSAqMlG4BTNDvrlxm+55ZNG4vy2DNG0/D0AOlTFIDB4Yc2hneFLDWuqG4PsyqjVMGUydQj +ULIqh10V/iLfgvPtMTQ/HCvACpmWFd3EGHv7uYMrpWZwcNIy9LCwmxANYeod7DZG+7mHJ4o4G5go +Lsp4GjJU4cEnoWiEtjBVOF8gvkWX1Mo1NH74ljjsAC2rAn6881OT5X8R/tFUZ01yoscDoAMih5U3 +SEZ0AB7UpvhRglsDMkgugQDxMYL9srEmQABu4t6TbiEnsVyMbxUeCg9VrXQ1m5hGYr2KPoSO8hXD +asEpum0w8oDHKgpTrUkDLOgBKQarjeLgZ3JRT1QgRRfEqjbXoA8tYasapJdK754KDyXrpyDSevMd +ROMSAGjY140phxgVXFmr2rnZ5CJ96oEKgpPV+atewZBOdbVg/n7qVdX4r6sTxM8bEAJutYvmnQSG +2WX1IbOZHJgCApn7bh2UBnjhUOzV+QUcHyFxFUc4iGhJkFIVQdgp0hFewUKldDoELRghERnAHqEI +bKciV4gIOZlUdIUMjqk0FinJMqmY00ycGKDJWgwzaLgdCsmA/yoZp4pzAaOoItKS3rcTbGEvOtea +hFmPDuAyZWsC/G+wUor12lDRg6wectrCqIgxNsqJfa3oqHKpXU3iqkPWBEgOGa5i8uqq8Kl1IXqX +1H8Zood5j7mF7mD3YvXLhFZVZ4IIfER0iiVtUBUIkMT+LTXZjteCLaEUsFTBA2qWURHODW4dxh8z +aWqQZGjnq0Fk34Pyfzb4DWKQ0ASIVUpjudBMkVEMdx5YF5YWi5hrLY6GFQ2MHkTVfxiMDnJQDXRM +L+NbqpY2g6XTrpr6RXAgjw46YlYInYVFJa2piBXLA4tLxKouHoarYQWCSH6KzBEDbVAHCAFBdKFc +0/AkQmeVjmX1VWM3RNbgthnQkGafDwTFq+igk8W/CZk1KYBTfNc5OY0DEg2aN6UqbpkjdkKRb/G1 +FSItEJ+UKI86R3l4OdRkgnDJfi/AKjZFR4kIIfgOOs0MHAItykKTLBa7jV8Q5uwpcU7DiNRqzY58 +DIkNEOx9yTHa58XYQGRYkbjPoPcvx6iwMgR9ufkGC9XBNwLsHX8+wTwP9y8vnwhK/tjQWwEWLLKE +92RwJR/AkkJ1uh9BXGvk7Egx2ccVHJ9n4GRXU88yGIfA0yqSzZgIwoSITkvnKBbFakGrIlFP3D08 +VHnB6QGpilwkp7vTCJLWcFLG4S1R4SV+AtjM020CpASHJTiAc+iKo/Jefe0am0YxLkFFZZYZdQ1r +UHurb01jjypMm4Tbk0A4wNmYZhAlhmeVBIOnQggJ7S3qIk+wB/xe7dUkCqodl0FnOgPAPAmW4hT0 +Elrz6BRaNP01SbW6hFA3xs6FFu0ABwcZPCW7wVVkZY5BcQsWACgxRT7Gig5gLaHZCg== + + + W+aosqwgK45G0T2A0Zhg087rANQqFX2Pdog6BCN2FZ3gCsEyF40B8oH1+D2reEJUayHdgTKheEGE +EJIi5bVa7ABB6TQmjB55DZVzLtjvAfdt+tzzJYAOm9Us1xmbG1Te6rXb+sHmPMiGLO4avUYKL04Q +dwBxmbFI8vtmqPUugGkhqhI23kcMqip8lpCAGs5K5CQyBE1V7iuh6Koula+w41czF/jpj2KyxOMS +lh0wSrUqwAAsv00ITLPr60yqY/k3KtgTohKZaidgXxRNCnsOxoCiqqVk60iIhA06TbKe4UaSD0jk +J7K+kYB/8miTTHKItw5KhlE3ZI3mVlR5mTEfHMDVEHgNUzMDWB2MTTFqEILafuzUu6JegRBEjUF/ +HSusrI+gsx3bw0EJ8vOsiivtmk/6nSL2kICwIwA1g57aEpJ93sH4TwfEKXI3wNHSpveJTOPqUlFP +OaNCJdSVgjUsLjnKg0LmGI03yualKgLy1fEPuUEBl3pKyNrsEWvrNQIkEiq2CrG5OJeevafiJxA7 +DYdPCpencyvAIw4hgULlJeBb/W8xqP0RYnIXFAeWNTnE5xPfisoMujkAPUEAcJ/Yg/8Y4SIdUzB5 +LEBNoSX0wdsAFLDSiF1puElr2hZ4lz0ezLNbHbnfLDy43z0//fH868vzF0//dPrq+X98Iy7cL353 +a5O/IKeEggHGGRm7SAFD/I8hgJbpgB0sYLpghecA60mRzoTZvwKZGejSSshIY7wlxN+6Qrdx8yk8 +OWqoN0mOZlF02kEXSy4fqwo5xZmRnxxSLbTZQQYzjr5azoWghi/IPox09kBGNVfnTQ0d3tug7NEh +KH4RgU+SDb7diwK1KeoPBpbCiiM6lNeJYos1pon8QgnPwGCuze6JvpllsshiGPlx5Zo3YlNvaDU+ +QdQMe4ZXL3WB3YBuFIWkoyHu3nhdggVlZbORdDVns5fcN7zYqWaNe6mitwYn9vwzY7ERty+2oBeC +Xc5y9wQEwRdS5DbiiD4bi4afOgSTJ0Wzhj+wVHAPcmB1+A74nCijUH8gxTl39dO3qjcaJyrZkezS +Tn6uqhAtFqxcwmccTqqKjcS8vSKjffT2e29gXB80GiIlDWpzSQM9AarxeXpYJFRNxcYcm6lnCPwl +J0uxwKmgaUw4ev8EG6hMOc3nOS9kyZiwKYmuJ2x/1RIlEFMGJCHKa4kFaApeKFUELH44vUL4mnUQ +9AGhp8BrkBUwVfQqFLepofKqFgvz8Ca3LB50gzSUeQJJrlWcQIyTTUO+Yeyv06ZzWZMzNusScPX8 +IOjwxRrAFrHY9QB6hXlwgKMeSk2EwLZYY/PV0ssgyIaUq5IBmx4ard4KBWMHtrvo72GjWgjztH6I +vvCCCcD4CwAZ46IEm7/AiJist91D9fNwBgtNGXUQDeoEv8c7yfEp4CDe5NMw442dgpB4AE0H4Mz6 +6uUsogPgmd2cgNcNcPLNE/y+NdXngoYEOWVXrHCK4YaMIYIeoSAsDasgoElKWBdsABEHM1I8dYmK +FFFROkqMhXbAQXWwiRbtIImTlt+ApPAVp/4ofmnk903SSjB5PO7iJ2scECwsHElkKFrWhCp2PAjK +oBr+pao6yFAVSB8GX2JARFhmFzrD70FLMOiSrQIk9fqQqa5o4gqnSNJBxaOSBW2Cll212yiHn4nR +Lk83kEpVV7pPGgbIaA4Ns41IQdSLJsqhpe9hAjRU8omCDxaiONMYlNwMH5E0qIfgEbJySRM0eA4L +1c9rRpcinnghMqZflr7UOX54fUh4RlANzTWrRA2OwsG/okeT6KkGHoHOdLxUPVRDeJSK569mNfqB +T5MxnxTCE/w+I0+M5aFi4E3Gz6NECDJNv1P7Eh8S1Z/uJf0AY3z8purQ2PoaVZbNi3RT6kxRXzBh +ZpI6E2Be78k8RH3h3yWTnK4ToijIIGuydMzIfRSVcxK8x6zjZD3kIxlgusDvkWJneiyJ2A1gQJKR +/n4aDFjHRqfyzgbkFxEz7NQ5O11m6YBSLiT40vlQPBbEh7wHhA8S6yQTxTQQODuU4oPIjOGhSo4Z +KzpEt3R6yNn86wEQmtmyaARFNUzFM5BVtKja3Oo2LYqLS3/fS4OOUgOcqV28XXL8FJ/jDTOSljeI +EpsonKEI9pom240mzJ9nFQvyjXEStDP8PkVNPVOb07bqIyNgbtUl5Cw4coJLKdaBMItgKVZorEBZ +kkinW2ATYG9itAXwYAwUitAVDANeVy3Th8ZCzoQiDI6pOOksEctPg+8404q6IyIE+i6TlA66Wca6 +YYOawR4Jd6ixAUMOj5pNii2+JzaCCDJSK/HgJWqVFV+nAIXu9Koxd9MpKBqUtFGvbYHwINUf8LA2 +YwJHr6p+EDnJ+QlOjVOMhqhq8eFAB2kZwdOimAFP0AFOVZgu2qo6Cbtzo0I85lwnAyZYt1e1JMtt +JTCFGJNIJJ8TUANvFau3TkCxt2VCbJplqqHuk84KGiFZQRYIJ5Ups2oPfK3lAtGrFoJiXBbaY16g +lOyxsmRxdSm/x6bQJ8XeZpb+TjD/kNS+zOm/sCtZE63BbMXbGjVImp9aPQJZc53Av7I4mKRGIy8J +nRXhlmRn7Co90QYGUN1EWGBRidh0/wEcJTtyNIQGBZMmmJf5XQcRgb1qcmSID0LhhrznXbb5g99P +4VGIGssWJ8ZKVYqwRPiVBfq4z6idoM6AMjFWVWNCSR6VX2e4PTl+tXptCYSPh6MRRPTpZigf42uS +pnNStP90BndJjiZEwHnZtOEmwkW92fSwNEXDZJHz2M6r/kko6pzmzuIzsxptyZsCjACtn1cXSwFG +gYhOnfGRpBq9gMg8xcEzCgdCYDaZ8RDfRzEM0YMYDeBICJOAn0N5I1rD96sFdVHki2g/ZCzWANwG +aZCpmkCGAC6AYzWFzjNRQTOcpVN+nxQkSKcamcs4yKZaIolq8VliqCCNIvnFABrCklPMmgYD5gdy +HiRLRqYYs7AECUYVTBdXNagIwZpW1kE5lXTNSsmhKWp8Wgy/qeahPmNqByWHQ8YVHkQQCIPjZK/x +uYrbIHNi0WBvAG/IItcWEZIRsaRNUi8IUfMKNQOJU7QJJtUkPu0EHSAtEH0sI7TFKZ6bmLWippzq +pIRqU5g9RaVnaCBIgMlR03J+Fri/apyGzKkGUqdQXKR16uqgY6JXM6+irmox4KsTt790kDXylhA1 +CMZOJsATrzUivKTsH2kal5/FbCRvO4Kc60LchplZYBNFsfu5TpAJFOWqzkgGngjAmKyfJRpyqTo8 +dRu/L1l1uAw8HRGLxY74akQoO2m6uLlfp/Gw8EXxYM3tqHJVNeSdh+SsHWikh7fnjqZlnFHlcNqX +Dv2dk43KClaVQelqI96sWmKvJgnNcFYkIMEtPGwSetsQylVTUDgJzIKc26wodgiGXU5Fk7ydQScr +y6GXiw5Ay94yGyAenayJNcyMsbCME9oC8ipdIkQgho2bJYZRslDFnOwWerHXOcc5GfCtgpgzbikr +VWqE698ZUJeuhgICYrCl7hO7pEHi5VjSUnHaWQP5ZLBAzm7pNWUwgNZkdepJQUIAj4kpat4AwP/Y +Qtc0ua6+QRSKCSaUVbB3CAfQAYgJjwARyJZCRLluBJ1Q3Yo7CIBjdIvzqNnQSwze0NMeEM2qHKAi +0olwHwzo1u0T3YygIxqpxIcqdSF6BE5QFglEJhIuU99Qi9Nn7EtGwKQHKDtzvASEmGDQmbAEikdw +4cyxEV5fYY0PDLAssxSRHPBIdYJcJZSR4UDJ0qAkCTT1kkUSch2LsIxGigsRUOSV3J0aa1mGdpLv +z4nCIIKleBWFaKFWmmtXyEENFuJq46FmzaumIDEv4RhqQdQN8CIbwVxp0Ck+SrDLshTFLc1ZGfHc +CPSpqr18orwM+VMMphWmEEAOHyCkalJXvLj5mOa7+qQUSxRYV5HfIp2zfEfzKakRgXFjMCB7RJDI +x7MaYL0EtAqaqhiUoQiaKMrzJkQxwjDsyfycXpVtPr2KMHF2T+ikT2KWfc5ic9YOxABMNwUJOeRj +MlcKMwiK2uBwbwFD1TZBThVHBVrmY4CUEq5v6nnCPhKSYPNjqB1wylcJeTU0iCQ/JRoUO/6SJHl1 +M8qLkTdgv15jnHixjYi0ePwhCZQgq7uzWMmuRjxO7tbU2ZgR1Z0EkSVEFVfTTI7ZJWkrXiBNVu1U +XyTPjSRnZDBKR6g5czf5eTDseTGETNB8soQb7wqwgbOR3s+oKAXudGY8dwqz0ielzxM4Xg2BvtL+ +WvZZNtFr/q4Qi24AZCBa32jIPTXCgH+doIOsFvgmYfWSdllT62SX9FhJOgHWArtfbAAkE6c5mxh+ +JrYxXvWqqwqDJ+UEm+m2vSJFSLnIXv3NQJUwjDGqb7ckSSzQll6UYl4UTQTK7mYIbHH6Vruml+ck +kn1xB5JmcrLI2qbRTmTIqAAa7rjRkfBb8inkyv/obXA5dcWTs3TDE1/0uCnWTNPVqdmCog2bOaOj +ptApzisRYSFp5uJg5ug08UduXXO2O5MOEQTFvnBLBVyLYTaKHoNgTIewMYjBcRPzks3nSLy9KGgk +GRTET6+ZxnB6y9Arify0IEGZiA1LDU3D6klBJwis8IahZg+tWVgWrqwEv0lUXLNEjFddE3XvwpHt +F7ZYJluGVUuPn9Q5mpbuXTWPIL2JOWKzumg4S7g8bYrjyZrASfAmGjDOr5N5MtXqZeggr5iyIqBA +OEeTurFY51ZHIBz81Hb+uqsjWzfEa85b0vgNSBBMZ8yaI4F9o+qaBV+jCU2PkUsLmHLSlK88Ofl5 +FOOGjwauCJZ6iUQlQ9mFRaSUjwa3momWDIYQNc5Vg8JsAFHzU8NozBljxWbNcVFOgRAFGhsw3Sfo +ADZeNnBVPSqoO8HvYTSwGaZF4XZpbt9MZm0yR9B06fwxBUK4hkGxoVb9wLVorimYspiIcA88ePD4 +GtJVA32ZOg2Z2w7bjXQBenfDEkdBT4vXDbDDpwzJaymOxdfJNrcAWylkwhuik4hN88ApytJboiwv +QSkGIsiarcBARAFyBa9osTOtlnAnlnbrAKEiXXIO4/xL+DAjPqtiyLB9RGxVD5CzbPd9lswgqAy2 +1DuwjyFFVbMkkudc3eC6f05jxYkoHJUx481oFqy4QALNZPVdgHxoKyFMbAnzzYgBNjM+FDoAzbbf +pt+0Ww7OptYREtKK2ty4SIP54aOags3vZVqwd6YbspYXdQ9Tm7EOybi6h9+B00jofc8IGOttAdZm +3ccc8fBcR83wSUSNTY0qnLB33kwhgdKun6AD5zXfmLpDqC0MX1Fiex6Lex6JD+NEfbKHH+6IeBws +PwQkDm8Zachl36z8ULFw+WpSiF3XzbbmZKyLfHFmjqaAhGiZ4YJ5sy3zuEWwlwVmo1bzphVF/C/y +8ZNKDefvNNFTkE/TpCEMsDN3NjBGwQpJkO89KPCoQbulYRnshnPx2gqAjSxyTlTFsw== + + + LVJ0F2PNZFTqyWag3VYLOWbwgcIrhTexeqqw7kUa6ayh+QSn69N3DoRPFd+7EjXHp20/pb73QH2w +iQ5fdwoH1HQD3YyRWn9EO1B4aLaAL1pUEwzUydZnxC2NRCPeCBFhaKiurtNkUrtVpSKiWvgWypyk +/1ecxPy9pmEk27GWCZggiRBCtZ8bekBDUyk1BdJNOMVDMnbAKe6Zo5jVlKBtZxa2rlYTNsdKzl8i +atR/YBz5CfzBChn3Wo+BmzrFXUMX5SQY5vqseQZsaeZ2pzI/D8oCLNWfuCC2hT9wQc6WoazPrD1k +2hZ7uFlNNoPeKeFG1dAAy2Q+kwnNSHTN3crrbHCAoKChDHcAEbOmgVFDjJcYKz4Rtce5+jPk19di +6T6CRbZkIy5qosU2833MvPNJ4TATNxYt1TglbPeqRmmJBzYfgSVU88Wq5ztJCkoQgypArC/qz/sc +VA2KO0BoKGdXCoZmALoc5v8TdKB66MwPR4NKBg+Di7ObxpuW6+fMQJ4s3JLyYOBKJokbEqKCHvMi +Zpfc0WDgeSYocqYDLJw8M4loZQ/wydbvq5oN2HMN7JPVWCAiRPOySMdITuKgqWnVak9Ek9g13wBB +F7KmnrSEkmQgtAd0DN8gEVAs4kwD0Y1RAaGtHWjNgLA8A8D/kGirBs5uDgYvbgudgdioxHeXLTrT +aTkDaKactAK8iqAregZaPTb5sqrnHu5EVmFnyouo5UCcmjLZHS8Hi+1H8Hw1zaVNkpV3swMIUQxy +MDiBoDHJHwo82EwZQURknKgq1rhF2ASTBXpA9pGoeAwEt3CROK8YBWe5GSzgmLz0gCM4qRuhRAv5 +BkdagDScVPPQDqYlJ/tuKTM0YwQA+uyOhqTkBOM83fkm8ao/dYZcdy3GxkTzsudl0hZERhFOoVh+ +E9wgtulEJc5EFN1EOEZkwPeMAPuZccNVwY2iz5xAVEfOYqRVSzbxVDuiIL3eiaLZ1Tjv/ETDaGaK +IoHb8nW83mTLqcmSeGQ0ZDShecPlTSMLjU4+KZKVwr60iAakLK7DZtwnmcmzWb0szhWaVQPQbBlJ +0WCkAliNnJbgDGfbmjWFqcX1GS6dLGCUMLl5/l4NZk5whmjbVIcumsQ3HZtmGVyafhQF85PR1ysa +QdmPJrJb5GUl8dmQwOTMrwoQtnQZUSq1iWbcgyZvTCb/92TsK1jGZki1j9kTBCWMXpVoVV8Q4pEl +bbT83pnGS6Jk0LZanS2L0RlEidFg2HvQ++emOx1VgppXn6NHolEhTjOMJ6VCvflVc+wunV5RJXXN +oUXusagfarEtEgrDb5+RV4z8mFB/iGV588RBp6kCsTVHZoBEpNI35f3VKKoYqjmX4fRvYoNQR7LG +jFXFLZHL1GsSOjdHLyH8vCQG5K5tUSAoINsK5ZCo3SxTTpOQ+6JoDrbaqSNQcyaG6UrXEHjWibT6 +ajeZ3ku1Ku1AUW7O9oqgG0gi3O1QLLLWUkIMP3OL41rzoqNh11IWCsemfU5atmyRbcwhswN70pEE +nMAcMIIUy5hULS+ZW1SN4AUAA7OQcV5BuZVE1OqCBonk2iF+5nxRM0ySdMQgNk3GywYzIULYI8Or +4rFpYwQlx7a7rtAV9ZsEsd6D6LVi4LzBtIDyez83q+lbx3UAnSVCEcGU4yLqxAIgsphjKJoed/VE ++HkIrXYCfcrZIaxW2NIbeKkW47dOS48woAVoBrdZJcpLkspFOuKqMWmSc6B7I0oiBeTBPnuk5KSp +fjXrCL2WmjI6A6jIn+pImjAT+DKkpSPpQgV+qmreRiIGaAFcQE6zNljaOlpacUgO1ltsucViwZko +ctg42uK57cZDBb3FmTS0vIGf7nCFKTN4qsJvzpEv+ggwkprJCglt6nFg13lXuchhSZykCddHXJQ9 +IlviuyLmhqWHvFWkkXCCsFEBriOtsFMzHsuvbMMhYoRdiCRomZKTWqqmwMLH7yxrU9dEcjR69mE/ +FnNb1ynNak0O4EemxoXNtsHtbrG0JEq3qrlNZjieWDB49WrVgm4iLHPGj2q++JmExGvSNHbQcTRN +Zk0YZd4alHUmNnPGhhzheV/E7XZd6qBOAzaoB8Ui1KqpMHwDvCJq0ihxpmZ0yvmT4Dd1Gf54ZGxh +DzOrKnxMtZYr+027FtZCesqumFcmAs3Do8KdXCYe9g6JbLLmjJI+0VBjydnB7XD3FkWPHLCvfCUR +DulV3eWUJVl/r7iBJulhzZWNG9lUgZGELTNVtdNOZ0VrdpepKxZAcedEsngMPIQHwEnrIXEaFiCU +FvvfLT0TOWLU6Qq5kA6dBsR2FdY4hM7N3yONhVskPp6RY1EFG0YDQNeIUsLINhDIpWTl3mkCqCWV +rSATfUqAlnSW7QSQluXx4CLvFp9VCPHV8q6QMhIAk2WIlPy8qW2GXP8apb8kVo0SbIYT7hIjdoIO +qm8QDWpF5um2EOOLc+ohR+wffWqmfGgq8dFl7EE78JrLxfxjzdJWQbaYCxAgMViWbSSQYqJXnE0x +jYPTjMxqgIhAYQ+DV8/9VA6ys5LimnmYTYM2gQA7dtQi9Pwtp7nwkgZ67rjStfx2pfLbyfE/WPsz +b3yuW+74ND1abHXSmn2KinSGinGmtjjxtYNmOnesMyw3dE217czxjDRzbmJiGImoLqpZbDMZ0oW9 +KubORD24RhUkNKcCgiVIkAx5hsV2SZPM2rF5oxFCSjdylu1z0eqyhtQWHRhYpUR1XTbzUQVzcU6c +B9ew198j5Iovur05eg27ogqZmHALTBJmqngCuDRstkwNanTQtC+URk6jUsd7Mh3KWnx5M1OEpR5S +TAvnhivY1Fza9EgqHMApgpa9pDDlOUPKEPvzCntwoc3AXO/0vOubwfJjgi2GeTL8rDrUMAO7vTHN +blmurLayk2oj6jhOutBz9Gqy6jN7PUUVq4ewinF+EWpNt66EhT81Khm6CPda1LiiiZM4LDshsmGR +WSHo9DlewHK3ABRbhUM8BvKggQmxfnqiGwhVpBqiJ6jNkEwxswStWoyqeL7Nnw6wa505frwCs4kL +xq77N2vZL/LvwxFFy2InBYFRnOrn/2fubXcty47jwCfod+g/BGQDXVjfHz/Ja2sw4xJsaEYcCTMD +grqiRh6yJIMSZdhPPyczInKtc+9tyayiBJfQYnfWPvvss/beufIjMoI/KYmOxinUyo44TDnHwsgi +W8dRYBmlhBEVS/fso0U7d8QFtCNXTWC+6y1PNYmnGEoD1Oft6NgaOnl6Ukg7rwPySIG9WsgPox9O +TsgFsDBXoMdS1aYmuUjOSAAQK9CkERpwpOQxAW6KAsmEjAYHHvKeBEV3t/am3rlA2VM6sy5gQFQ3 +8YtaQFbY7QEU+MOKvZlPYKCJ0vUEj6C/NOAiXehUOcSPTfFYaV57q2lk0cFmMX8HrekRSfVh9SSi +NGaHPteuUmQ5kvab1RS/1KEJdg532wNQUxjpVdeFqt4ao1TwAlsKmlrXavjBO+QsRtq8U1Cnr2gm +Gwlf6Ma2qKUX9VJXaFWwF6hufJEOvAe4PJS95HSG05ekxTPHPXQBqjwljAzByN3KryoG83eQmgY1 +BOQiVHiRDqEZ6cO2+C7cWLRZxSbqcABiQHdMRx0RiUSeLhg5HWjrKm6Mq6HvRIqhN0Fevw2uUBh5 +rzcYMV/Uz9elcjbODoxoY53pfvQism9a95dL8pB3agYHRjmP3wgOm4I8Va34ETR7u0t+QnvlIT+9 +BvYrfrsungOLgljAWEIzNBQVRpTzKlIOXYC6cdds/Yh9vUSF9gAECiLLwBIEpXIsdI+J60hFlsoc +KCcH9/OZ+b+Yuq36kc5VJalqZNWdyw5cPbGIGmE0ZkuMsDmbM+EFLYYdG5i+1IhX1brheYPxsBku +EDI6ZGCG/k2wN1snPysydunDH7xrj/kDDbHC1rsma7Ng7T6dnySBO0V9WiMG76FYv2vwX1AG+ZUn +ELFZO0IfNQgjGh7VZ2P1gfn4/FLdVfzHuwYcFiRE+v7EtXbCSv0ASgU4ozYXS9TdzgEZ1y+qkHJQ +1aAnEG/iUeloRcyNqcTly5iBeYnPF+UV5LDxixqSsCYi0y9qyymO6KX6YqvvVrSAJUqR+/wCiXcI +fq1SEjVJzH/WISwEq8Fm3IGFUDs9oaQYJwi+F7maIvkVrzQUYTkuRKQiYIdCLPUYNRtnx4pYRt2w +TZH6E9fj+3MAD1L0jQ0hwuHCFJTAVgCMHaSeLSwLEufhehV2QiuAGRTYDqDZS5Yv/DwHyzQw9wPw +BFkd6kCpSefEMVZiT95swuJu16nPZ92sqcc6xXAkWTRf+HmWgv1nbX2+nHbuTIJj1GjnHjUzp3fY +b/Y6XarvVDMwDizGbxTT1M1vPdqu/QynKy0JyoBN1JF/T1czy1HzAvuzdWEd9mhSeuOARm6fC8jx +6MaTgHYdBY8luh/LTHIYNZjHvntUY4t6t0tM01PvhR2LRVkzQrCFldbnNZq4jsT11Hvp9ZmpJn2J +LMyRtEIjSO7cOxs6ARNG11UI0gBGOxauWS1HJ+CT6dWmqEbvrtjcY1QYl3QtVj16eBoFX6GtOFhN +RRqjFj/9kt2Alc5o2pWECHowroSlleCHiJH3Gv3EQw+RgjHSC+yhtLBVoJeESSLCKhrqI8J1YW+G +XNDJIoFRmAzBgz3VT9B0gh4KGBDK9BC+Rpe+RQh/5qtNLSPHYArFnla/ckPNi9qRLGeuuyPc1dPU +OIuMfILlllZoVXnzvRyCAbWT9mE4iPkJB0lsTb2vpicwgN1OBlAVWrLy6MYUnpXbkDfq5dqdtkEn +kBNLh9CkinPTjFQ5NGPMITkmJLr6wOR5bTn0Mg6CNWRI6gVVjeEecBQIPyTK/lUikrTdL9pEY2p/ +f7wNegqyAW8Vs+mG5QALlBhd916/wovoatrnh+JDiZ6tLOqGXIL6JMeWW8AgF119Qe6rNG9S8BnG +iOKlfE65qegqM5KpR/RhC/+YW8BST/vUYq4mVORR4jAI3CxqwArHHizYaN0VAcjOfPUBAI/TAVd4 +UyTvt1KwttniSq96pYDV5rujp/myx4bERI4iAP5UHlRJifnkHf6qWERCt6hNcJXLMV8ULzZMpHp6 +UBwEG6UBeLI+P4G9ujG9rpzaOAhY6MELJU6dcZ0iGJfRRkyamvJFhcRUI+S1fibdTYuTJnHZWJv8 +fH+K+myLB90eialjSVk3t8JIb8kLFGCHcgtqwMnROKSLcyEdZpLQaj0iElv5obh+cVWaz49A3HRc +WHQsoHWKz2uSXehde3pCr6PG9bPgR0ZCPbsAenvta4kHgGlMYhcMRulqWBCbzue1gSbVsSBMAgWL +Hbx1c8YU9wYb3Qsb+iBe8S47759G9r3FvqWBgiqMi8RGFcf75uy75yIiB6lajAAZGm6APbqOYCzg +BBzkNZK0IQ0WwG+8R7nmAcX0wSbnjLu3QmyjBLvhFMuVN09b3H5QQfvQ83GeCWzsHA== + + + 5N7h/FqmURQ3JVrH6ULlGKhtT5o1lGDEO2q9t+AHoihGurgZLKqhLLYFwysIiiZ75KJHsl1fo+2X +BJiFoPZpB6YGdBVlXDMGv89mvg1jPjkYxnDd3FnsGdHNTpjj/cEra5NLmrAJqYo5CLFIkgVHy2HJ +2Jfq6J00AFQsVSdInAUZXWY02LDP+Bx9LiKA5++yLnk6/XgtoG1YS43Dw0PAnxV9T9jyGS9HyffN +KLyfil/F6fDMcN+BG5rJcLWDMTmLLzJTO7bqqeSNcWMmRMR1QdSQFpFEwM/d2BKn5jlr5MZEHog2 +8lGxQHnYB+x7i0PzJpWEhjUdUSCIizex4wSNVvZhvKHf+Aa3I4EiPMC4hlItpycgYgqVtgG6pQYP +keYYxAcPwoTgXzS0qzr6PQQcKgEJC5NM7GeD9GA/8RtgMNIH8WeTAIIQyUm6lpiXXsQjOfxTJ6Dc +hjPQxnR92mIyYRrvRpI55Ws83cyYSnCCkiKGceh4OeVKUzOYs9nOYJ2PAgJnpWyvWtFMpmBUlMfM +SKkIH9nf5w3gsFg6lP9TCWs/pLkjAuiORiT6CJFX9Xj8kkCN3umeoicfgs71frGTk93evryHVA8h +sYa+U3d3CPnuJATjiDAI6N2AUsL7v4OwIGkuuQu30DE9Lf+xkFgFl5i7j6mGw5ohTsDW4gIPfLTy +2XHah+C8XTDHtkOa+6mL7o34761Y8X1m8z3ffXcvXDJl6+iwfqFZt7ZLHclHoES8EJVYyauZ7RT9 +q1SPbcEZbFslCiXKNCOLMn/KjHteAD4nusxqMpbQpyVi1Z8SIrM1g5HmAdB4KWKqcVUoELdO12Ge +GYTp9Sckx0VtE7NGN0tsLjM6t6cXZMZgZOuTjOJg6oseWVPKzBk2z0KDJ4/keRZDR8BiuaH67j43 +hwyMN9yegknZ1SI6J98jQnb0DEClQOEaXlozz5WDlW4TQYUthHKlHi32wJvnIK/bgPow3v7+bcGh +Bi5/AuHKzBhYa4v1if+0hJ81lIHdSvk2heRsgKaHYifxME1UIG7k56miFZ9fwqpGtH/wMBmhAy+g +yQd7AviidDsxMta4V4RgiMCDJk61EUvqItfMUbJKEj9whUSqcw2xSHgUnbRfX5SGGkT2kGcGfaFf +ldmcdwcPOiY4zOjZDNsusFDt2IUHUuAUUa/bWcm3Yzcf2WXILWmzGpJshFhOIU7tqNBwrt5xAv1m +oMiEDwf6sV6pXhtT0ZaorAZkhdT2l5BVyPO6vn3RM7GXGtkr1LmcjU493+N9pA5rzcGoAWl+aN+F +HfcoL/R+W3mt15NwqHbgAe7ID73nj4uO/Ps/pOjI91aiN4ER+3/JQDS//g6rzIEqR34/LhIwqqKS +gAvvBA5BrJktsB1ZuxcYGV94OwRYqppdBN6AL4Pk5zw5ZDhwXLFNv2+B1Bl8g29eHECDNcl94HWP +J2uq8mGZHIb6nZwlR790qU6wF1tzXXOOLtiUzkCyrmAC5kLj2UxOY3LFRJG3FXQCFWv7ERuHYJEz +23V9OpEowGQklLvZ00S8Szsc3e1alSAdPz6yHTArmnBFZlKJ7krW+XR1Fm02QkMCDm2JFg4v4GKo +z2pjunFoNz4xkYNrdALQbppVL2SKiagO5wEjWNT8zTu1w1MoMbh9tDvObk5NMZ/yY0lmYExcTQzx +no5TbTachR6B3qmCvSSllKivpBNInW8cNtupTdaoy2DQkz5PD3RxOgy7XD/8tEkwpNhMW4j9cYQx +irckdVih1l0uVENIgBc1cYXMU/HqwE7LiNoZC7p29SVEldVVGeDcjOy/R1C9g4uW06fmUWdskore +m7edtJ9ql6yfTvm8BI9hCCh3DbQbICxGeq6yesaL/cNd/ja/UYKv72IsO7VfaZCZeU2N1LBSZdt5 +1GMpTWXFrxkfT0RMuLCkaqczFFibxLG8ICyMu9O4RTQFlLaN4Y6olXTk5CvAZf5QQ2l1rVM/wKSy +Z4r+fO7oN4apqYPIkpiOEwaCYx92Vo4PmgsNckHfmrAB9KjpLBEMu3DSaiItVP60FTpYTBAg/VPT +8JlshQR9kN2O8RAUo1CpsjcgRf5VVBQMflhXSCLmLev3e5wwpBbOOfcPdrBXpjCPjcPgdL7fPQ74 +NUONww/qSmJftA0O7U5SHipRwa1SLHYsZUgGPzz8jh2PALmqcbmnrTEUknLEBAZpGIcE5ggRq1y4 +t3RLfOajyChx5OKcpdhurCOoQFM8BTP6ZQ2TkNwEibLv6GHi80OlfhdsD+0NIVTb4X+IqWQHVdcc +J2h0DUFi5kgeKJHbWjOA38FM5mSAmqAOpRH/WTywrTM+VvVpDeWVm0GlSXnJoc4BT+GhFXUBGDPh +zQ2RpiATO+r6me7CMRsrNueuDbNvhe+HENxHYTKfzCq+hCzBUn9cOVWfA1vWXPoh9sup71o1tBso +Je7+NiADDGA7WruCHLSiykJgNgz/sfl5bUNmzGIZrybH9kJ/o/etw0vRNwXNOXWIPX3WXPTJ340n +n4HEOBL3M3oo49CMj6Bkt2pOPj1rCqk6e3mwx1NUwfvAXUPIZGtxuTkFfWdg2UUgY3dgu02FEhjv +1kr8hKa6QAvpn2sfqifkaFfD5HLZVulffLLJO+jfxQcuR8dmBZWd+7x+TqBfmwL5tipxK97zOIm9 +Rv32IUPzPhw1sg/uwfpLbEXsT2c0kz5/o7WrlhOE46EazmRT40oFCMsf2EVoRcNu83ScoWdve84g +8NMqKB51mjGQY/em5RAlvQSo+IUZRgwm4QRdzC5gE3PjvFiIPGjs4oOgF43JPOqNuKjc1E64pXp+ +qn6g790qutZoZZBm2He9LoVynwzVrsfZvK5HEINxUyXj0PSUlPhGF1XfrwArCSXppTxueuVTnTG8 +8ryLac8zKclHemT/lh+n/TX3UkH1HQofkzLaN7NGSzFqwkc4pieKhqYThW1emCIqRmXTHvvbItS/ +iLMB5HFl6mr3jE1PrK4GAAyoOGNUg3wvAb2JPk4uN74jadckWgY/MXdCVgctnqxC3yrKJoej0kTC +Dlw4L4fYV5wgk4XfjISOkPVWJ1Dwegjrnc1Lq92064VehsWzMTduZsgmeZgbHFUcV7BDQ8hLs2EZ +TU7tmpqGtgvYwquyyl00CemwUrJuFLhf7pu8q9rdauQYBQgkGKU9bqydIYJUo0RQocwAowTk6k1l +RCYvi47WtemqmV6j6Gcl36KgaxPlY+9YjXy4ScTAOltT1QMBzXMgp64sOcfEYFOVG+ZCUGbTrJRv +ulyCdi7gZhp+os1R8tCPYs2OUKCfvvuKsMHin8BIrE8xty8dKueSUSF9CPw0SQlp23s/KjYkz/Qq +fhdMK0UtTVn2VcmsZ+oUOiqLzwA5qH3P5VuRYwFsbxwKx53KRy5fgzkpNPxcR6SzQuqozh+YZ056 +vOD/dIxQdPTbEfLQKHio/XpGxUYtCVGi7uw4AXevrGqoQ0cqk7kYyHnjPpDuc8V0cD1aBTv400lr +hatE5aL7zZ0H5MWtxWqqJEgIJaq+jgxWUKG5MSIOpy7H5mgcMV2oXBZ918VadhraE2XHVzog0n3b +k6QmnxWQh2bRqzaM0/ff63S58F6Awn5pwFeNz6Smje93TZPgKfIWg2uxydrU9HluqBL54pO47PLa +DFNUfhc1d3H/a7TUiHJJZ97x7SbGHc/Im4tvd4/t+tdMBhQ2G1znsfF8UYzflA8U0eXncDf9gNzO +tA6SQQWog9lM0og4hHAUXM0V8RE+b8/gWMoRTLBh47fWW3CjMZLhGCajzqlCwYXIW0Q1dpcFi3YY +8olu8NJWNXGAApQfebDt4t7Co5W0ZWeCChI+xfZj38z0ixBp3tXMQ4QOiT1xxlacy+NE8AIRgJiC +HayXOcvvGBQcCmENDzhHDLiTNGGEYJE/PtQqMJe5Qm2ahy5VaVG4kEe5rrwHb5UBs5JqH8KImb5l +Db3crii+lTOXyKhGc+z2GO4ADu34sB7ziZZP5Pez8PI9kmD8UgD82MCuMn6JkX3fvZXga+Y8BfZ4 +c0obPrWFAmqLwpcXySJUYUFrB/rXqt98JdLhyHz3+vx4h+Knf9gOxfeW9tyhK+BFCtQ9JfjCZquE +IqySNZRqgBvUUUPjsPBVdbschKpuMcZcu3PvjcjXWbRbn0TCWdlv9ANrv6asor62JLi5whsmtXsd +NBTaGS3AETU4YDIwI+zvF0GJAl9kDa1Ewgzn4NCbCL4F10TpHEofrPA62UsNhMCmzMtArhgvBJyJ +byJTo+qSVJkngSnQqsOrN07LbTHXWZ+mujmbCHFjsJ5qw3FugV5TLR5VjROqCFg/sb3MYKyT+K9f +puUbeh9a5TUlTIR7lF+E+Jvqt81gi9ngllS9au+QxOhL82gigTn12S0FRccRirDEX52sGEXwam8O +Ki1v8ToFPLLclJ8cfnKy96IwtUUNcmZFk5pTzsCxvPIFWEv75uxNkRvGQdBy3VE/aNyLusA1zi7G +fbfF73dsNp27ylXvX8Cz75an0iqaI3hOh/WLv6iNUgZ5ZZqU8qYQTyV63RYhU80mg2tVITZphbxC +FWM7WL3uFaqqESkvjJntYrZt5HBZW9PEXqyki8xy+9cTZcD2foZ5wU0GcGV7Hqf2zVFcOTl2zGsY +0ZNndszrkVQvZG33RkI6Q+5klung0Hrl1qFX8pS1fMaZ1XWvh/KVGtj4Jt4+7fkI/f0BEDntIuTL +n97e9f5ID8a4J2KcawBa4dYZ86C8AbZJE4jqReRKahwPoqM0nCqfQIcn6/XZdDQqF25hO7w/YONY +etUauXWW2PyR+YKYasWzvo9OFSX41JyXVtCMkdoWL8A6E9WVJUR/gXJM9BkFeo+iRMRdlO1wHp3g +3FXfLbmqkJ5hInGXRzR8f3lXKSaLd0272jzsvKuG+lOXpJblaOxEGTniULX16f07L+rjiq+e/4Wk +9XHVh/P5ossk3VX7RLa0dWCoPUQNLdcInSTXGVR4iiEEQF6rALoqX6a4Umf4EtvWCFXJfZLB9MSC +3btwzPVM8wax1BHE6rGo1qXpwaO+lfpESWNC1bJjrvJkU3UpQD808nmLKk20bj56zYVafbQrJuBS +ST51j1jTHj1Xv84kaOoh4u98zPxN1/Zn8xyFL0pkLcrG3RhDZ/acMx6eQdpoiRkV1UaovJlxyOi9 +ZJ1A3GLjOFtVpT2jFg13hcKCf1MUkL18NJsuYGl2WNXiKRIxN9akX9AkCeg+MnZ7plP2WLTCY8mh +5Fly0VkPjWyMtPp7JZCH3XgF2inErgtBuwtqy4oL5YLMVXS1aEfkc8FvuqKuPMHToI0ZPS8XwKNb +cBghfHA//NDv3sIXvbCOu+TVFDkux1B9Yd0KjYYw00nxOZ/SvMFySKUsSzUGhOOFBXxJ7znYUi+F +RHUdszG5/82ZD1hSQWnWrub+J6/Y1rXTq5zy8B9lXHR7vWdtSk3OM82YuajBOf5mCQ== + + + fjwbefkDZiN/RtxrBu7V4a9/9d34/o/+zfd//n8+/vYnP/1fc/rFv//bv/rf/9uXv/y73/C/f/ar +//c//y0tf/S//Ob/fsTgf/ObX355nPlxhp8+/vnz//rd7/z/0vf/kfc6v8XYpu//t8e//H8P03/9 +vn3/J9//X/9P+v6v7LN/yqLT0LRGVm3jNm7yv9sMpcYK+gw17IdfqZdRpY33h8YprSK7+rOtIqp+ +/e6NVVCPOGETCc793TQqkseUWpg/M/AabT6dwfsAUUKo5a0pruiynms/Jzy/8fruezk+OPQ6Zazw +ky2X+ea7LTQtozx99+Lw3tN3y/j83efQ65SPqKb09myboNt48+U+rLufv7zjDX7+chpfvnu6RTJ/ +fno8rjPETb++6diua7qscfXXGc+CXF9+L8iHh8Ypzxq/fS/MTeTvf/pf3nlU+EMPVh7O6stbq7dZ +YGMwYDNK0VAHu5ZsKq1gqIzGz+ot7fXm45TVfv6e2+iXpNfijfnzOzPp7e7v2uDEeroq2oQT0C+g ++fN3zz/2OsO1KvFVb9fv5cNV/fxYfO4IS2/StOLLl3dmL0gyqGTwYsR9HM93aq3LpgWvESaaVSvu +hfGnE1jGkCN6zFGnOUa/LC35G/PnN+aHN8lLjDz6soJ08em6aHv57uk30Pr5u+efe05wLcz5qveL ++PLx2n728OHxxD8ioO9/+lujUzRnwNK4D6dNvgfe/AUYtlK+8AurSg0w9loPU58EWEfZKBU/GykQ +8sI67SMrc82Yirb5Z5b5KdBUolXr1JacZN6fJDHowuVmmqiuvqjsvME0ZNDdSLhT68SHX1R3MALZ +0EvUX/nY2z2yNP0zzZ1x0EBGDn+5Cm5tBwsBHWbOly38JZMDmuUvlR+dMyzBme7vsjxuKAz26xKU +ReERf8XnJ/P1i8HQPOrT2oDPu8036+gK7wXrqBXH/Ku3kM+twair14B1G/H5IbS0bvrnN+Z9X1df +fivPo+QT+dmP1GOnFLdjWKouZ1nB0qDCNeoGQhFvDcBPLR0hV6dBAdKr2cTFUjGXszftNPKsB+Tc +VrJFF23v9XSo0wsCHlE32Lc+fG1sm1l83yKco08eKBD7RP6XyBABcKlQj0J+tb0W5PjcNu/rDFuA +xDgBew51UDQ2w3NOVzk5X/7y0RV99jj6d49/6C9+8osf9Rg/+QUbIyAMrGS5+sK/aIAyPv7C6BPI +jtn1sJalvPs2cjjihacwlHHH87bwIsmOmq49nUHn2j+Bh8XFoppm28qRJvAhfl1baeB+XZgxwiue +oDjgNJurvTFWMJLiFP7uz8KGiJd3PsdfqKmfcBO4Q6cAHqdgusu130ae2zzIqPn6C57ba0GpP5/G +4q8AQOsL14FE8vJ07i5JFf6ez2/t58cbW0Hf+XmZzEjX8rSoPvJfHDty7oC/8NDWOLcKdP0OnNCN +1SmWSNr0JHx+9xf23KygOJh4GeMJc4YGeogmHmj8wIbqjr2kXlPGenpN9GGcmhCy2rQ/jJWKwfr8 +lkhaNcLVFcpZ2MLqEv2QT0/sdmw8gYuwr/Z8rAVW/rvqBO7lw1fKzvBj+e3P/oD57U9+4cHxT36x +7pd/o5Pug0LZMAR6+Z3NAxiuwvnGL+/+oqNtDyMRX8VqUmwvNG6sYXyNBxLt9vvgqbexWOFgCwWz +3K/5d0EDFGewrilcgjEHTXlGL1f5JesMx7YwoXDuOf+iJuj0crsBBPnx2GWhR0PoQcbzM1LzHu19 +dEPh9WHMB81jFOnu7mpwZmgx24YnTbEZXyu8Bdv/4H78U0/OH7JP+5Nf/Nnjn81KSEKKFbUNxZ5W +3vix3eR/vNrx4Z7zzTvOx/vNN+4237zX/MhO8837zI/sMt+8x3y8w3zr/vLNu8uP7C3fvLN8277y +jbvKt+4p/xo7yrqyzoW33naTZZgmVV9sFK9oStqIFb8wMj3aE0LMrdCOy6fo74zFBOw6gYNeG8Hp +jQoqBTimanrFI3kZNW/p4J636JqNxQMWgkTypkM0R9gmn1ifaNGL79PtVFVd8hG7+n0ol3hKFwFH +ac/uyOncaO4CfvM5KF3dlDfGWuLz4KEsy6cQiW0aTS4yBYNNobGBtEQ9YrKO1wldNzxwrVU+r5Kf +NbB7brKFArSN401adyhlVq87mjGQnVb10Dldk1Y1PkyL2mOsycYGUDFSLQ0bFhv74rPt4FahGXbx +9bedl6hj8xhaEk40uXyagooz+zKD29LNIXQF6oPSQrvHbZW2NY94Fkei7EaTHHm6DGLmI6GyZxLf +8HJiaCFYuSYP66xFw6I5F42ZSz2uW38UD69PUsoJ5y1OsRAq7CBQ8hdFWMUeIpUFwGR9vmfNEoia +23YB6ltkQBh1m4RMP+pjto2szV3LR+JgHMEKxqqExXRjr8sYu1MGjjsdpdeBxvC6Bb3e+w/KhhgA +0jzOMvTYsgLQ8TiMtAwMb/AIeZzHHkfgcyEXqCt+n/nUqim61SaHFFZUaJxinPu3Ty3TZWWxw5RT +8i1BGVPLKTUePQlNRxaML3txhjAHV+6gjPp2SABe96qhosfDtTHJ6tojNNrtTTKCzL2wchGBim/8 +MK+obaBmVDpaxjJWvjFdJM2b2m/+cu0e/pKcm/YS1qUWCelpKgUt5XAK4E91YCIEDodBUV03QHeE +xwidCzDkOo1HvQacHWNMY9BjGjS707nMOMGKuLBOj+/kciZdTmrCRHGA7PEDfL7/lS8t+UFruVkY +XTAEy5IiRiHvsK2gpQLhNHKlH2ezdC4NXNptafkYi4z1YNcfXzpxs/vSUFdL7gjsqcgx8kyG5Q2C +XPkch/yhEKh3vkFQD9SOKxhEMscJSG8UTkeDC2UH/EzkHhW4chprv2z6+OOl4lvFoSzv4EzNdkrF +uaOU77Y+y8FiCz5YIMgLo/g6OMoN455isTqjH2uGoISZd+i1LY3+SHLxvQcJn9Phc+x/Vs4lfE4P +AG11piDV/py2GdYcg0lpZc6dJsFDphQ0+kVJ7PoDwchRU7isVFkDJ6GcG7Mocvp9Aro3V26uoQJD +RdAt4WcYcSRBc3jpi8UW7jVsWEkBUYV7LAVsNjA2cG95Qh/KHmZeyvOForbRahQFupQnYRwy2uiQ +TtALy8ypTA1pl7659TuiC3Gxy935S+vT9arzcgqm2u7SBYUhR1J1VUR5Hb5KZqzjoEMKXnAzX7yE +yEzMwagAOwkit4hm9DNvw0J5NQaRcQId5LL9yFSXSBYaEI5yOyVtlhgSUxCnid1T3riKVpJUF4U6 +APIbPqqHCsoOF7WbgtJOvznZ9INx5SNVy19rN1w9hI35cDwZSiQTNBXwFAXy1viPgHK1Ha0PVUlW +EwNtrf1QM0u6zBks5TsYK7u5y08AJurz0wQkmnHLVoMZ5OSypmWQw/cUuqlg5rYOxCryXe2Qe1Cf +wh/oYPHWsHqNKVUjwVw5jKMd31OGxuGgBuSEMWnwCtR0eutIwvMAJL8s6DGI0XE8yoModyjPk9bg +bPrUjCIZm32shnODxt0UUnErpuwMzMl575iHHEGX9fAqewnr9ohfxOWd8+nWYk7CVTokaZalPWM5 +vhKerJShpLt5V0QEWLKQ5jaS6pu69afEJGGznXyKHT2oTw8VHTnN5qEWqKGKlR73MSa+Go7+1udn +9nH1Qr1FToMgErb3UM58S9bv8c76riuvw+eljhgLNxI8kDPUGWPhDpucNBLCCa+TmoxLhUmqPLl/ +ocdZWFEPaC4mdJJImM8rkiY/Hic2+iIV5soUVB4H7IY1S8tmSj/R3LB8kMBstnjLZgrDW6AJWEie +9PT5Ftzsbku8TctWUZ/3SNjvs0NKYBzYpksG7QOvcxfmW0VbhrOi1cb4eeUglgNZh6mB7GjPphBa +dGrdcDaN/AOVYiTePmvcoGMX6BL4cWM+yZm0FPo93iUeR4uugoh+FUkw+94QqfFS0hdD9Qap3qL2 +kAOaa4kZuh1SwR1Gwezsjef5ioit3vgNOZrqwGFLzqwo/rhVKUbsdpA4boO3fKEDOvLUTpNC98Nf +OwCuhPGIt9WYaDVzqSRYknKEQVSnKPaVizqGH154oeajE6DD6pI+lJz1yZPNdIkQeDcimEnYMF5Y +b1aNsKgSckn1lUomc4f7o0RoNcYdMY6ZK0sJRZ+moE4Z0MuV0YukxZg12vl657qBs1lJOdTsCFsy +yAuRQfEleLyul3jMuBrsDs02YwWvLco7fQvLtPEMmfGQYGyxqdbTNLH52alciWRIK+hlLJaZYg6z +xxiZgXm7Hi8cqWRrByUJHQ6q2pVMLXI4mF61X7soleZ8FZsQlNSDNR8liscSutpouAyUuMxMoJ99 +Pim3VWZoR26VffwR1Qkwh2F3W5wjNhZcnAmlFGnc25UynqWYglxOLzJnkW42aYDayGyL4VHhORYI +fgL9EZIgsYTWhRCVqGZWnN5RkhipnQCpasO+iLuJsDAmlxncW3MmUqf5REu4HNHxkkvHQHhVNHGz +lCBy2RpK94Ht8DlwuWYWe1/TM+xCvgFNf+NFwu8M+B3rHk3Lc4/faVNyISVFbtWNo11mXp7B6Scy +1xmNSSc2kbCKa2K9KGXLlbSkqtYZOF+CbwGc7KFobKzN4XRygV5Ri8af5SBZEY4qYHtL0cEC5XyJ +RhIrY6WbHPqQ/CqrNiYWlTH7jKrBSId9immkmUlL7cW4whchRqsztJVhrL1fJ/Bqe+H4Oi4Agkv2 +Iq6YLiUnVq2HbBohZlIOoyEl8tmzyBMTMmMkGeOl3+TVdquYVoPKwzwMnxlHU8rYZz/8rRPxfx2Y +mJbbgS/rkpR2BQlQblSL6uehTx1Nv3ZyyMjyGpzAY78zsY2JRnPdykp8jnuzA63hPTOCksgKyyfU +wU/1qn46n+8TbUZb2KHvRwZVykHZJ6XxhXNH8jqQ2PUORHAf1Ymt8JFBhNrM5uPrLMvhcSqLzXXO +oIFIi2+Kz7DQ2LXrPmKgHh5HXImmzzrkXbRtG6owGokziybZmTlPNa7Ju+UgiipCu22JdQypgLlx +H70kUUJd9cQmRmM7aS1yRG88iHwOOtUW6QyrchyPk6oUpryAK7brIZlYKZyZOtCUjMnUQFoJ2bcx +9qEXrUmaP2MHMVpr0hMmzxBG4mSb63zeOb0hDDOC79aFFvzBiAnvLTVVz50O3S0GpexhSzUrSvKI +A4VGUZ4n/QArI9TUw2GVqa1zHn9BZrFiqcbeYaS/cc7Q8/lBf1OrcJeIiMzdkGnKEbUe1dcK1TL1 +QkEWZ/kLlWGc3TTRAzgROrxNy/IWXhOXuyE20MwKaJbXYfH5nDS4Q3ZMb0JdxB+TheYeFB2Xt2nh +L83bzEpvc6ZSXVrHl9VRIUNVlIniTjkzyZbsgFfNHPa63A2fADOPSKzG4C7QT5AzQFFUOgqQ+jyZ +D8ohvLOiNjL1UqKrsaSD4NmWCA8vbmvb3ljrNl6zlPlcen5Pl1MlqN1ElQUWt5CU3Q== + + + EaYcnVsRv3gPf8kWFKddYAsX3grKb2mULXCrw/j4azotd3oRqbK8E9wpXtyZEllTXd8Ky8ApJPYV +wumgN+KKdkPDaitJ7L3QFb53IuF04HUGWLsem4HcTg3IB26qvE4I0CnxxSgfljGJRKIpsHMRCuVG +NtUp8a8QRTk6pvmmD2HV3YwhSSTNDVeZWqkE3wRYnAo1GGkE/7C3RMcIv+OE8+53HruHYiLyHVlZ +eG9VcEEDZkF8Om6LvrsMuS2f0EZTtdj9GCHNjDtWQCISnx+dWYRa0napu2vjP9K2jz2AYY5PB8vv +ELBS+9HRJaUYfMTomp3IQ0ZPPeR4Sh+qBeVIr1hiGSHtaSIBQ9+0VzTKuxjL6hFUcMeD9nsLZ2Ic +Smg71YpXUY5nl8F6TidRuYUZhNFsJK3Id4b8djCmTRZR6M6nXNSKxuFV0OFbXxhb6wQEp1hVOYXK +AMvqVuXpIUrm/J7MuI7MgOPw7WELtI7eitxVSvQSDzYo07Ep87D0P6LjTvMhvEpoouR0stMQAHTj +1SzPzHlMNSuIjetM9FqhqtdDVsyq4+OqxxW92FVua2i+wWXRWpSUcyhLToFdXBpSQp7BfWBV0EbP +EJxzb31IOJ0Jp2PFnUfAVC6nQyUZF8qZ8jqVJO05gRaAHi2EU1PSSD2Yr6Bc3c70vZcXUG4rSW6H +SbaJ/5YgrlOxzmjk5j3WjAKy7dYt2G27Ho+yYwBHvdKC1FPd9oLamMXWYvdf4qG17L9pWmjMzafe +CVf1+TE7vYnaG4aZAU6uGKwhJosmkCzlnruwEyBgMcejXHAKNmKOR6glq9okBjxeAHtV3ssuNPUH +4HjQ3jAXUata4BtFmQ5GW7mdpPJL8E4vqC55CDNDYrWyUOT6MdcEH3CtXXQXz06nHY42kNL4zIeF +u/h8Fu6jZqWnCDYATbCKTVLPiBgC89srdlrPROn4l1o2CeOErP+UFScYqv4M3UEzM7tqMfBsJeNJ +ryNBePMv2GHKjXO0EKcvxUDRtqvQ86UEAN1OkVD7Ix8s4XYY7nkLJIQ/qUSSfVRFsQpqL2Y7n+/x +YlpSn3Uoa2KeG0SZB/wTLkp1fA6LL/kkh0MlOYvKuuKcCjEBs4UYgnmcriN31qaH+TfXvubivfcf +8jgd8JxufSvbNeRwDK7n26zp2ltsKYdTVJ8n4YWrnQ8eGd1zp++iv8hKLtwMukkzr7g2EpN6jSaC +NRIWmbHNQ4OQqfY9wRSD1zWxUV0CpuU4okwcccnXRCirbaUFds3FwYRKDRSvqQZoQ+0XuGjS3cSo +8ozKsJVrcw1jpQ9yxoj4PEE7O2glvWWHem8OSJinl01DWrtcGu5sL7Ujdp3VOjbnkILscozFgGSE +gPVaYi2qHXkvjCn8SB9VU+GFxznXqR5YFkPc3a2glSS+qJ04qWg3rAWiHvI4JatkHvwoTsDE/Kpq +zMwHHRY99koHIANNOTe3Q/WPx9WnDMLjEH7nm8M4VeDCBKsfJL/mDb2kVyPB2jOro77G6ZNjVM3w +zmtqbgC3MDuxIleF9TBpz4bH8bTfrFKjarqB9g71CJ446efGq+/l8nxQxA2hBwn3phK2NhUHXEDp +roghgzAYtl1pCymigaYejSFAPsIt5JCtMiqLWfRVjNLeO5DwOADn+P88fuq6XM4jbmTg4TV3kUMS +72gLloLkxBmE3ejSJ3RO0LSyHDer0+n6ZYhyLPVNOpbdP5PlTSXKogCBmLFeXot5tiHkVSEnEYz7 +F7lC65ElJlFDnSdPWQKcemkAsCbh5ZsaTmsqtnfASfTpZyRSPZyW8MpTMDUHLU26Imcaic9XwXN0 +hw09VSe3/k5dLGcYXPQ6vofL61S46NqiqJYFcPLYIzjRNKVsJdR+KOhJlO1dph7UK1leS2HKVJJv +7iVQzEv0e+71NAJkXgeusBqJy6bXERYfIgxyOrUPjvpUAXlSYKF20O+44HLmqpY5TrOaEnpmrvMc +21lYJmwLoQvjIX+To9mdM31OyL4n0e2XFlxhHpFNFgA9IHlRoEYYegkCdhsrRaMvzyOD3YwNH0/7 +UT0yK1iuzbyiKETJLatDKz21inPJMpYL29MlWX1Vol17APv5DK6JhvtqucKRIbBQNVGze+0AFi7K +2F0k9kPARjfu0zF34nWYWYfH1sfv6jGi+8aRhOsBOsdjnsfDO8L1ZFO9YXXMSd/lejhL1FDqg41g +jNxCd3C74Dgdx0WgUiK660dYqpC3y7aKsoINCENPeYA2Q44nA1Sdd+geuEqH2hHSPfD2flLRcBx6 +NqoheG81eK8I0PQubHgzT27f7LVmRi04pJb3EL99MVKhtsKY+Xo4PWZ8HOFi2Wf6u6vzUvMBRjaO +Qdlru2Iwx5aF763VQptkB9j+qO3oWexwHM13Z/kdJ56GOynBdjPPoTV65oRCVK/FxTPr7wr83qwH +o5NYv4mpAENgbvodb+nI8XT80oDSWtG2MblqAQUmANVc+axXuxqbnJlr5GEeN7KoFk6nQxOqPClt +WUg/BdbcoXy4hLpawuhl8gt6Gm4jTHI6WUhmFmyrIZU6tsLgsTRYS4/HPLrNoeVh5vDZUCjJTc0J +ioYUGcvBMYOx09/JFMBDFpSawGWebdGHNKA4Ys9giNBC+M/76jpphK9DnVMz5no43AfmTs0svYJM +UW0zSovzvfuQwxmY2m02ddXGNW4FTQFkqCWmrbKGfTxxlTPjPEQ2dGMOKn5AEr3uErMLRZGtmVeK +6AwFW9skgmyBAgF5xuwCQja4C7voFJzDU63uFhbEvw3RhJxNEZZeWaANViS1tAXgjeajZUYWLerj +LKuaWapa7Jm7MQpcdgLMjU5ABOMESdt5MLZ7sE1n0/gQWsbKYYICtRM5G2btFk/kFHymLNa2A9lY +ggiZ0XyJvE1BXdTMe6hc/LhOupAACQb03UcX+gnOqRpQWwx7+ZiyLkuvURE8oxbIHcvbPMIYFsyz +9A2SPJM5HPIdrUS1vDKv5qdZERKauSgxAvMy6mbhb2bVfUltXJ9vAvjkXBUlsa5tuKs0Qn52REez +RbfbZB8UQIvO0yj+N6oxBpHuKtFQliub1tE4SkNMT81coh7kMSNeq6v3hUzcjdEvbwgl3Tzq1eca +2t6P2iwxSpkO6GwZg+cleTMmd5MK4TtwibspOsj7qiJTRNhPkPUYEgfuV1AVgT87kfA6wOh4B6tZ +A+NQbBH/Y9wzjygi3A6LsHnGbdvkinevIW7KLJR+ntcMs2t4NJlFrpw/sa62Is3dIqY24xm4cUYl +NSwjvXHRTD4homHdVBNB6m5oHFWF1D3qB87SAlpoamlxgjFz0xOeLhrawZKCv886FFe1Dr1oU1Gl +LGEUYHaotb9ja0Y2uadyjuPNF1Llx4vrAyCvWsFVmMpQPd2Zv5BN1haTcE61NjR90MZRK3kkrkzQ +QpRxqtWnSQU8Xixrea3mUllmLmPOT+Iat+uRypn5niGSBWc4le+ZC/CjDKl4GNOs9MmdQjSLTD6+ +2mvMq5JbdGsCD3ycxwzxNjOi/UL2iPg8NKUdP9XEapSGYD4u7vIDs8HJvMt3CjkfXlZFJxi+h4mj +DeH0SJscNOPPe49miPkeDBSaWYWppnrLgASmgqDJLf0oHZvrYd40ot3pza7OY4k/uxrseVxPkSde +m8e2UoL5jwi4wdEgz7pYIh5Id8PzlNL1+RU4jTHpaA/Z3hs/Is+D9pX7nUdufpOlhgcvuwS138PX +i3hAZaMMRH0mqQBMRL/YbO7h9stRodonWskCumS29miMm+h5eritwjLe2FFXAjDLRhIAzINNyL4e +GAOrZcOne8kxRAwp5GoZEwlBAPJlxLNWRDxV+H+LY8SKV+UgyoKaj44sokbR/IRfAbBdj7drt61j +KZtibkdgnZBuqqahXo/bKU015pAD2tGHPoKXLsWwmB6l/I7r3s1cbmtVVbWa9k6KeETmUAFKCbcT +x0qNeDE0RxFKqnpsBNcCsms5HQ7yG1uLSkBZSesO4a11EJcLLcFIcMAUbmYhizLg2SiiKeLJQao3 +IWsUZRlM69gmo/54DmRXD7LrZfFnZS5W2gl42D18OJ2pac0aabO9R1OZEzvZ/mrsS1oR0bSZR6gg +DuAWsv3awBd6cgXj7bWokm2b946ZKxYn84y902fcM9/6pxYklSTN7e3o0XPszF1kGGfvjBM8iZXb +aaxz2xjNkNDPpsuYZ0d960fC7WAYwt2Phb0XpSgAnfbiPx71cDycBjKzGCITwkg32qtBo7Z7oy4N +kJ8lBU0jUmKNTYIXlQQEGI1N9BNjXfJodODezByqAc2sKCY0Fqnrx65p9JEKS/bXY+c18cGgXuN7 +ZmRpYSF2kusg6YvFMSXNOFZD0n2dQvvgi3MleyUSmHSmY0uginOwLbhmQ6Lr8cbNq5YwMdxI4tjc +oqYyZ0A6c1fP0pEefcrzDFI91QN7n8H/VBEm4fFi9b6yXqbHlkFvrfdL5i18lKFSVFkTnmWDPzbp +pBjNE2KbmpSs++tcmWuFDLbhMKbWekQfKIubwUPJFnnRUrYV1Z2saYp5C4mH8y4zxmvtuzDCWc5u +n1Wx9HlTxaxmHmxKZNV+a8yKZakpuefJmkNO+fgN4vnwEvFIABq9XBleJ3Gk9Dx+zjeGwvPGdvKD +Ui9u/ju3GHIv9GSeWpyb1+kM54xBU2YBZmwBACKo3Yyni0WKAieQKeIkI6Lcrkl10XceJFwOQh0f +w6r1zF9Z25VbSkKJSwoOCgzIK8SzkyksO5YOttw7+ViPpk2iPrhPJ0jVI2kVDEFM7noXlksyWoM7 +XBa8fznle+OMwUBP6SGRBiO3tK7JlV1UXy3zlKKLOmv2tAprVAC1Y7CyZ5yAECQz7xDfUxlgoW6p +IxM35RWzN3YFg8RsmT1uD+ESO+clRcmGkpQ+AXrrSs3EECKkAraYOSpln+BG2AGp9ZpRt3SK40/1 +wGKnqG79WPqsQTIasx0R3pDJs45+O8XkNDkkHwTvlaMkDkGOFC3SZOPBU6QhCPGOxNWc0C5cVMOP +RKQB52yB5WaClxXcW/xzQh2vlMFofcM4AVtY8+kE9DaT+EovQnFryqd95GBqRtaSPLdUEjgb66QL +89fAMIIt85q8Yvhj1hRFILEDJSiIMfhBK8GNd9sdpWfbs1skuMok0wmULOXi5u5xaNw9aMfmDV1i +xj6If81YgsyH1Xwz1nqGr5hhm1lh8Q7oSgrsyHsXIqezANbxIfNiBYfjdDiCZgu5NXy1tkBjBtQ8 +yuFatEOl4VM+hRCa1qUd7/IajVC+qMHbzBVMjpqhd2MzvNyvbIqBvxbiGi7MpAZGhB45pg4m3lnF +SWzIW9S9QlVx6vHOLVSnG8p2FqbsCHNyDAQtMHHL2Jk2OSSNxiagbQr29Cz8bzpUJJZpqG+ea8xO +cTO3GKFLtsbWjxNNFueFnBYB/gaM6VGrYVvIc54cLoc1RrPOUHBYwJ/UCtA2tzQM3Q== + + + mjGns1GCl8p83spHBHbQ5VTCsk3ttfD6mwn0yeWQ1c1cTqqKUVYXWGeqrWVwkMm7MmLb8Nde5tBY +Dw9BLSnayCy4MAUZQco83cYZn896KiJ04WyYP1Ye5ukE7BW0g6UsMWNTQovdoMpb++5oVz2YwDvH +F8rDMGGxzXgc5fqsGZ+niVHxGWTgCRj+MPPPUM2m20lneuxCCHrXB+YSuGiFlPnwjvbw8BwlDL9T +d5x3huixKBsFo3vvRMLtALHjrDqPFzoovOxJRtvbOQBC8mSpoWdmJbU7MKE1OLjW4ZOsEN+U2/Fm +L8yqChhAv/HYSFTP9HDFXqITPKJClv2S1L9TMFMchLwbI2kKuIQlfuikWG1mRzCoeRsLYSLaIMrL +KF7OQEYSOZb5kxaHNnViXDCRxqot3Iu0+jwauo8Xz+cS6GSyGB8SETvuudXzObx7ttx7kPJLuZiP +MygXGzl0xFqlbWapILpYkmA0TS5m4ga4Leo6dc2ij5frqeXMZjmJUKhPOwsvM5bKjm713k8NxyNw +UTplz6JgvOwT9WfBKZxN8GpdLyZCC7LONBZlYn2H5yHkqXDAOBxHUxib6pbrI4ra9iMCoewEoKO3 +vauP+wo0e6E+jg2dcZKvnpa+K8CLHm6cgMXHc2A9AUvjlHIBppBhEKvsBdtg9N/XIGJawDlzPQji +SrA4WBTUBnd5m0/XLeQ8cwGVKYOgQsd5c4uxHVwwYya3I0hnOdMUK/LLEtOV771I+B2QlRZropd6 +RrC80TrYgfa9XH6nhQbCpUvQhescdek9GFlN7XnmN84wQYM2Fq+ubhr3XFJEmZt5U2onWBIyxsik +QmRvVYFVhYS/bB5K6OPq0y5MYNAYRQJN/JvuaNJMUI2tclP1DBjaLgYsckZY85cEFf79tDGnpc8k +8V/ypwA21jPM4+TwIlsjA472UAeq98UI4qKV3Ii/zAutcDh5MSbyvtgrnxcRcJWYkfWZ4qk+twaV +A4Hkze+TXaWdFdVILvym+BbJjZVXE21e05XHGU35ZSeJm6VcTUu1JGd0uyH/txfVg0pQDM6pZhnT +u7KOLkQWRZP5pkjRzZyj9K82dRY4vkyRJKHszaDIJ7Xi85V7XoDAi6A5Pkx6aM0ICzJk6zqhDrcX +51JRVFRRHTbGDQWgLWg06l3HbTEPayRxcezsW8em/QbxY15wjwN/IMmjmYVRJEYbxhlqZ6p8VMQv +4XOavqtHTZC0Mx42dL2/bxzIS2hS/RjXPu/mW6b9Z/NX8Ozj53w9y7782ddy7D+Zv4Zhn3fu6/n1 +sVrfwK7/r8Gt/0+rDv7RT//q7/7yV9/b5773M/z9v/EjH0/Sn/+n737Scnv4kdYS/jxCo+X/Mv/d +i/8JM/88IoP4891P0o//ecQVH//FH/NPfLrEucvzkT/743X/59An9d25vf2xFBb4j5d+m0nZtqMc +AN7rAkiDOqGSB9gaFyskws0BaDVaCfHNiXZleBHo9Tta6WKJHKCRLs7ccZCx1FFZK/O6nk5AjhXn +axKHk4blIsU3Drci2OjeYtm0wlEVV5IUp8tpZIR8Vo1t65q92CmmPKxp0iQB3wLEv4Zsb5buxx/x +H3xw/7HHXs/xz37209fX333507/7h1/asddDjJNXUoV2BElfaOa4xoEKOxUWiSZdflnkNQrXjKG4 +rVhavsGlSx8WRDnKlL1qw5sQslbebtEJKuet0qfO1WlaSEuqsf86IzvHyssl7tg1k2uzOpKBbAGA +Hkef8d0K/PjymjN6OL30P7S6f/bdDhHS/fvIkf6H3/zq9dd//0aI9HrBPvXfU4i0RLGfiC3tU2oO +0ayoQZ2Fy6gpORoVIGtiokLj+wfHXQrdUATytreCeAEHaqUjuX5Gz1sPnlnViMYt45HYGB+gFsAJ +ZpDATYIht89jCiOUB4027lnz288b3mWInEPflafmwS1VeVyJOzDrkmP7OgtjxpYFkeUo0HVkZhkV +3zVVxTCC5wRuO4P6VVWMPzBeisnPZtEC56fO+jGSpEfGl++ezQMAkOfLsuCrlOclkPH1eQ1y9EO3 +gRIIkUwI7mBcYhLxZqR/3l7QEFjpaT0vYSK5HO7LxPxBMu5aPS/nBzjt83x7bEY08mxMMQBxfz6J +0+CsYHcqC3i1eF5ccEUTGM/mOJbEGW6UvGHOwKUcI35B8qrh0+eNHcDeorD9oz/aC8OEz4fexiUH +KOPTb/2nD/1Ro3+TTkAdF54W79t0Voyni9JL+LxWT+YPj/3QmAVf386JbZ2Xp4sV++692EkJxJtf +cJs/PPYD4zoDE64W4jQmYb5d0Y8aG2Xun61ZbHH/jHGiloUTyBeauWE25XjNpxMcI498+e6tmTWy +f9a4DpbWd+etleGXOTnemOvpBM6o4JWRuAL0Wa0NTy1NSZVnthFcvF5DOADiPn/YGh4+0Xb9fm94 +UM/9XNJ15LpHXu5j1VH2fj++/8mIocgwnj5ffnusQJTXk+nJHBXcafQTzKWagQsyofI4KdXxdILR +2XMxDdSoXA6ilW/39oh11ak3HlL0scYWyktfhM/f5veHFpRp7JosCG37MuL6C6DZxxWbsZOQ4fhh +0xYdEsrq4rOYEzis27ubsRWx2IomdS5VyGV8ebN817FTRNdPtjcn1QXI3JX2Ptk8IP1vfujW1LvT +lY8YhcqVVNtjxLwFAyrjq0s5ktZjdXDXs5Gi2v/4HfJesozK/Bu1l8CiZgwOOfh58Gu1l94rwOP0 +W8PIjfiyZWT4b2wO89CDyhsg82/emK2a/LjXMFvmX9tlNmOj1sRt06Mexhc+VhIKvo4tzAZvWxDm +PH/+NguadRkrwAYwUutDxrcXcB0b78B11rEkMXAHQ9c7mGuUh69jW8yWnNfNh8vj0UyiXpD5ebku +Y6zL0+cvqxczf/Pmd11E3vdXsfRy/VYe+PrsL06QeH9+xCzUTOqm5/kpZruv006m7/c5b1spLXCi +QmE/nVRo2+s3xeeve80DX797vtuMnZ+eyxWTE7dNEOzroV4xnHXeFkbzT67CEtGej7oVxVIKYckf +Jk8fpmRWcfx988Tf/up3//3vX//mt7/867/+3W9/NF/Mv1+26GNEAvZ4A0WMdk0jvak1ze5xZMna +rSnoVwSyyOCsRxxgfEcCFofmo5GEbY529+DwblQlXIeayM0owpg5TRUf2O9NE7MA741lR7mmIUy2 +7xIN1FZXzTW5gyumTN2xo329R7TeD02rjSAVole8XB/xDetSD3+uSCiLvF0L++Fq/+PHN+E3j+eD +f7GlKucdP8lk1bRZ7qipqJRFOHv22YIaSw7tLGo/vHJ1FmCdaUorw9mOMRfoFKw9h3HQmFfMW26w +NPuXXao5h9T0EV7G/AXw1i6MFw9Ijp9wqbnn4F/oUe5/vwavHy+N1iwB7YSyU/QHjcejCe3lc+F8 +pPmY9ujzOnmQOOr8Lr9y0cXKvc84arAUphGs6E72PsjU7U/UC58oV3eDWRSUA4yRECIQMtKiwMQj +/eHFFSwV1OxRrz2Yr0lbUmNm0SZfMRySqd7zyjWYA0wD8xBVlifI3RIgnowCJN5Xq0AVtRytBsex +bh7bRonPP9+E14/vDW+a4RDQlzM3YkTDAutrbGEEQtN5AUSHFUiKpl6piz6quWKMmZhPMG01sUO1 +uGk1aJFtio9CEzbb04W9zRj4AK1fDZguC1w2JyqliwmaIfiRtS8UF9iOfc2qmE7o9Uo+0Lp3a/D6 +8dJgzbxAu0k+Vu1t+8IcEHdOVtqKeEObdOkKwDHHqBySt+jNsSBKvc/69vtfP7wqXW2FSpfHSj62 +9oWOhMuTy2HQmxLTNOGLgxKkxqUn6u2gBDdJYNt5rwukuJgedOGNqY3WwOek17qDHicdxl5704AS +zJyqxy9o5Anwga0X/iwW5JpeSRffmuQecDHOD3/+68erouVKep5tHE/7Mhw3D585CKZ3kwcotC20 +xxYIoOb5rVks+deo7AI01faCHjxyLPOZX4tw0abk4XTNTPCbczRtUndLv9dmRDAmab7qFsvlW7qP +FmISNNpSkd1kdClfeLCiqqiZkWHmrrE5rJXiVRIMfbCArx+v61lwqj9ZbdZ+sbZaTUgdVoYutJ9R +HK8kj0e2Aq+wlSMS1AAYlZluDXM9RkwKcTWfFlqiBV2Gt5PPJo+vVRNJo2p0C1OUnsHNO7TX53ZD +3yeQK9wLqppcIv+ZYEHgEsQUlDM2aMnIDmzmVlscmxgo153G9x+u4evHS6ut2nBUwge49HLoDkfx +XaBFE5bhJMcYRaIR2htcMkEeX0vTAnPglBeZ6xXSHVuAMFvEw4q5P4Fr1EnOYpLLh+aQlpYwYkLb +bCwCgvZ5Mv9sNdi2NjYcSz9WEoVX5oi5wXvL8UeZwK0K9v63CyXevver9/rxomq1W4xe24LNi7x6 +K9AtvWucTHxNC4MH+MEUv3Oiogvo7di/56g6XQ+YtzH/kU/zmduNYKGGcFQJeL9t0pqH8y02lhdx +p+tZFc317yGqvxgcfvdrXz9ehBM2ilqHxD6BomfbrBzZ9S3q3OJQfO3povHbt4byDNbLFeUrg8Jx +29hnMn2Z1pZmrYKZ5PqyfOAVR9mvnsA1BcLRYqBLp4xBrpkv5CpEPZ17twZI9nkNXj9eGkVtkSPZ +nY/0ZBFesm6FCxN5xLEmarODJ7A3qYnPw7lXkErCLJdVQtbG9uQg+VZ+U4DG1j6DICQdl2eaAYc1 +MAe5h6Ln4Tx6KgMTOJepW6Ufu2kkw8z7BXj9eF20YC3YTrOPtsVIqkRuQnewigzwESJkrWFhCNTF +/6ddGWe1Crtw7raDs88zDnNi4QytGes8yy3hwxIvu7nBIekPKVU3DUE5+XYw9jcRBLqSQOBKJZuc +Dzvc29//+uGqaLWqMKyuJZY12DK1TZnyYT3sIsDhmmbOjskUNjnGSX79hXJ/5YvAaTwHo1ctTNZL +hgE1/3xsEDZLtgb7REO/bKk37RrcSfNhBWNHVk0/iKshRpnUIuNyAN1gPZpzKT58ytzb9xJVnl0Y +bUHkMQvXKIm3FeXg9wv4+vG6ygdWOUdP9mOHyGKWSj34TWfo2pWjVdjEuGa/d6zzfMBXmZURujMy +S0NTQSNIMGBb9ciYS3G8HcGbpVJDon61du7B195zMVUKWOAxz1OyXiUl4+Pk0k09GSuWVL0ejVOo +KqHApmdwir7y/eq9fryo146T1Er3y5X3ZJEqcR/BItClphGQ/BpFnHHTKAVfhJuDpU2v+BROyjGf +oaJ44fkGpgnRrTibk9KkjUq4QtbNXNGVURQQOEMjzG1FzEsK7gTm/w+X4PXjlZFH2HHmBncvj0D1 +IiOCPCwEpL2wBomGxG3DwYUd/+nzBoqm4+OW1Yjy2yc/+OphhsJSlWvOalSJyBUhKKckIXJF2Yau +A3uY1ZsOD708Csz9TV3FSDuF9n+3AK8fr8tvfv8C85/88suX3/3DX/7yd18+Ki4/Ig== + + + O5MlKN/7FGJ97EK/V515Pp614j3kDizXF1nZx+2BKTLj7o1GYqlnIz+bGV0yUw0EH0+w5gtmtX5A +syD3aC+zKzD4jHRP6U7HEsRF5stTPodORh+ZiF7rgVJZirRxL/wBGRPm6cxIzkJtJYMHUnZiFg3b +WiFq9KvfOlUTlD7x46SkG7GSBEA6ZlyU/5vYv3ACIxmpfFk1OOAXO5ig6tF/nID1EyubFb1rs0l2 +2R5pCaQZVFn9usmIYEr3y0q+S0K2c0lwwHhSRzRMSHffo0xhhNyN/EKuBw9vlSTamn2YWofWygZQ +E4VKwrKzo9COhgFjU6NAEXk2OceRvSTxqrBOZFwAo15kApBqdM4gbWOZwMN06MBLiHEnKIPKd+Qo +K7My5gERKJaMHrqG1OQAsa1rI6+Dnu5Cw2+95eNSYxGOwoU9F8P4M+Vq4+aQUyyUr+VGWiYReFST +tSZ0E6jOKTEjmhhinS47RqWipcHBerNN2TzN0Po7kNtB5aIhsHOumH8j9a19P7V/NkoaETxWwWJ3 +DFHnIWafpbl662UOjqM4g1U4X4zz2MC/oO5DZCb1RM9mPIRm9WIhIuTCyESOBGfJmqitRxGeQk3O +RtJO+MpHwFDEvWrUijwGTo6k5wrpmQmRHSqRplkp4+RnLeewFpqQdIkh0coTLA8MYwE6WC4Xhszx +W+kB6jpKakNPUF23eJEp/uG7NrgMYex4WusG4yeMZGlrlvee+QFwVrQsLpAdnb5mUOumRtkGtUCr +Ad0F74wXe1o7AgpVkmvN7nr0HztYsJuNhcwjrVsRBrUOwOIPXhPlrMTjAkqvqinyAWisAqmXRSXx +lg8KPHQjWwptFitWY6VauikQzwmSKihe1QTLT93o5qh8C0rjjaQMBbKHDwbU2oWAa+gGgq2wOrpZ +V8Ak1sDpgv1ASTmLk3QIv01aQucTTQKOZYzpVFKFqehfJA8j9HWR7OEh6XF99y3242CIB/w6EVm/ +iL4uas3XyP9cdRD3ypH5U1ruOUph+8DHW0j7LgNg5e+FnGuawZQAmFfci3gnSDjp4qlTvMhDrCX7 +U5LO6mH/s8eFQ1URM/vnBxuMqw/h5saWQr13XrV+XlhZGB6MrouYvBpAAWyPxJhiOdjDIoqzQgYM +Gqn+2pDu8A52ncCDa62AdE4D4OJftjTvWVXjfaSpxDIEn52va1FBC0XHnUJT10u81NceGto2Tp/z +9UO8Dk7fM3koBTSsxoxd0EH9U6URZw3R968prHIb+n6Kz1o9e3FR+6eAKg+prG4HCVRY01gA6ubY +2WMm0YwsdprkTqFwpJuBw/GC/MT9X1aMhI1CQj6dUZiYODbnhb9eAdtidmYwV948q5+UhY/bbHtl +yhaw9KJSXAoiHkcUg/vAlgbSSg7ShQOzBLk1AZ0TfKSbIaJkJ6WKlT2yRCnbkjWCA0vATh1p3ogI +zoMv2uREhRmrpm0kNOhYTDEH28+v1gVhaE2B0clf5ajRmjp/ADihzeh0cVp+TPF4XQspr4G6iwf2 +VRvgZi/Lg329u9ub9EBXuseo/PkYvTQj0XnbtUg6bF2jm47ydjVfM9NNZumb2reTu8Sx6wPntNYm +YccWjfo0YXdOSnRSrOZtZFlulPPzNgVOSoJmnMA8Fop66ROYDdyWcWiCzB8XxAUFzBjze9vVSjyx +ceoFeF/rFXl5w48lzt+fPlxVAt3QK18e3b5EFS1/ehvWyijjsagp4LVWaWmaEzDkdnLrlIS6fRUm +ityY+UYmEt2a0Ws+uoEg1+nOjA00i7dk7Ppd/QMX5Y+J54A+9J7OywtG1271ssxe1iZztRmjabVI +W2bGoL91n+KEen2VeH2r4Og+yl9C5RurYmnHngcqtHyupDtn/giWdc93ug/ZzFO28rfKSfdPuRlc +v93VokXcjepFnwFct2wV4DI7cAX/7xyQwejOCkcQ4cBkmn87ezJT85v2O/2WRwrpvWIzBz64xTWV +mGc3I7JtW+n4/Zawew7XPcLdOtYlXPxmB7KwUDfHbrXXa1+YBUOzw58WJlFm9Elvf65ZFrcTJNzW +7Vm8Pl8TPr+xvcLovUM8rRUz6bOAv+wYdQIQvbuZxP7T1VjxuiaqdU21mt3YRGL9MINJzMydCZvj +IIeMzIJmIolEtwckietoLDKkdudaQ8I9Jil93cjK57DA3B9WO0FRFjAWAlIWQjAAPqXSA4eZVUh4 +rsRg+tlAUXdtR1G474ptQtjkC5srbTgKro1PwuSQxBdR/NiC22VEpa2KKRifTxmB6Y43YweU1jTh +a7xvrYuLrY9y5sB0ggQiSLxaKLXXdBAbObpkDTG4omWR91rcO4SYGJpfF8GZ9W1JhlYAB1cPkXgD +Y9mru2rDZJt9ChHnmyC0vzPLrvgBOxBmJB76wRtkcwnOvAW88TeaQUzvfUa0x2PNzylgrtLK8llT +zrpMiT0kkuzAZ3qxgXMK1ETy2NC58zwQ6EPgCvWcBmKrV4bsCG5th9w9IrbsPFbdVRa2IkZuBbse +DlBbg84dukjx1i6Lb4dzDmO+zcIvPtokXFXUgyZb99o08I6Ow+a2k7Vvmhxh5l7iFQItAQbszJlR +131nAZL7apHJbDwQbrtmEYerX/teVE/E3Cr3l9kZ7xb+ogp/9Mp43znnzbuG6N925g132UHoOCnn +bQeWmFOx/qaP53eJQeCxdH/gl5RKEy3rDN+8755wmbgsw33HWI5DkHxFs0reTXXT9YZ6GL3mDjap +To+HWlR3Wt8l4y74XdT3UuUTD2Z3sBY62HPFrNDZiqxw6FrtXg9u/VC+o8bTHQ1Dj1f5u3z+ZVHz +uMsP2VhKEzbwsR2ybem1VxSJpgE6GUpzytuB3p1tJd+0Xvn9lFZB9qFDS0U1lVet0mUVmmxdpbNH +xqZZzBn7Pqeuc8f+gCPFnTygV6fSHWV1MwHBuLOZ6LOlqWcHbqbga62hzLaD/yprNKtfpMeTaBBn +VRSZkIOdX6LvIc6QSV20AxIxI1VprcNN1ppxhgd2IvtTOVgQ56wTvT+zfi8dFhH8OazkRY3gIoKa +KXGRwRto1bzgrkpoJ9VhBawdHyfL1TpCwWS35D62JBf4Zh98/e6Pv/vJL373+MeyyMem6VvnY9f8 +yS/4dqJMZrUzw4x84V+YJ2FNMET3psp3TvB7jEtA20fMYDccZ5gGhmNTqGtSP7GEbE5Jbts6b5yI +bRgqthOYHVgbuOgelQ7Hh3pYlot2g+XUcRaBOkWUTpEwBfj4iylaPzci3vbXKrScGdfNjoV4jRVa +CNmtVcHyqiV623ZQMyqM9NjLRyUnJVl4Cmen9JDNzl3jQQXWrVu3owWJTHEWGrtePHw4gwqnFk0L ++WnPij9q8NdDKBEHxtvy+NZ+zhAJJVGqFuxCnMlxABGb8HYaYHDWWIakasI4jNXkb2LV6Mi5FtIb +NfCmaBFE2xRRE4g/K8ucZQW/eMVMTysAOOgamgpSzYoHDHsK4qMmnJ2e56W87ye/+OMfYU342R+Q +d+X5/TKJqV/HyuHxbgmKr3rDMqX06gYbG376w5kNVFc1k+nwGCl3Ax2GE9g2m0RmQ/9jZ0ji4VpH +9zTmD1zJ8TpDEr/kiNL349mh/505FHyknTwASHqNH8EZonw2IdsQs5Sddat3NKUSBbh1CpMuyYK4 +C7/Xoi2YgBaRscXQ7XWKxgEWZBRJ7yiTsp2D08t1obfihtHydRVoDdiLQwoAF+DyGrK9YTvvC2/I +xNhJuc8pWMhwwcwlcNT0hHXuo6xop7V2ebcg4nrHbO+YfPtDXacq0rXcuQbmERT6ZmSgqjvavbzo +jqlpVAX1icmYBA8lhLHcuGe+3nMmcvPSR0ssGroxlaDXRQBrRgDS9KaDtmA+iTw/3A8dphczmQf5 +6IcbIeaoM4AU0j10FWKG0emkBCL9h99Nm4WzEOpcAp5AW+G+g2gK80F2LwL3JDhCd4H3Wq6FgHIA +4t5ATqMz29dZXumWWdDomKFzBpfGRWFPQgs5sIUpiNa2Mm2HSZUnr1uL3qSgld0hO1pPMGLgT+EA +HVR1LUUwwxOBZc58g6K0QAwCV1bULvCK13mk1MdYGsDy0IkCwIYAH2EEFViNfF8/o9fJVs44wl1i +5LRCe5Aut2A0ch2i42jwK6zttMrhREWHaakX40sGjfS6gQP6p3aAPyTz1k9+8WePf/Yz+VRgU4BM +eYrAfp/Zxw/itG+N0r4xRvvmCO2b47Nvjs6+NTb71sjs2+Kyb4zKvjkm+/qI7F8jHnuKxpKVT3+t +Kyb/ONZRdcLHva0I0kKOqwFyi99MwBZCJnbrawpogFEmM8jrPWQvlLNJe8dpUjt74uugkl3Jh/3v +KvpP40nlLQso6haoz8lLx7mPUu/ZGHD6gYn05mC0oFl+AnGKnaq+PQedgKGQU9liSnfZxx5bNnYO +C+1uYkcSNqcZQx8+JDBZjCgjHm60sBxxdpCzE0V6dNuE0R1Ew3af8QoRXADuvUZzBIzNPFklOpD3 +jpO6JwpoDdDHfUEnTh93+nWUyLKQOQNF/XIUVQc6jIjxZt7xcV6pRREibB4Cb1u8QVyGa4YjGltX +kcuDTi+IGa8Ix6wM8T8qQx5xunfqs5hz9A6U6hsgEjc3toNqH+yA7vEkugGUGWwlHVAmdLE9Epux +k3rA7oeydL1Jrwtj4NRdAFzhpHc98FIR22hGxQhTEVtHQR2fX6rGWjwrYcvFwuMcooawWcEFJz7A +9PPKbbAramZQZlo/7lctAFTcvYm/shvifPr69MChBq0Y6gdAE9puqLS/N5ErZqvz4g/QDlBCqvky +1iBnMPBNUXXXOw86wapov00U8bEJEuSfJJ6+SXeFTq/oURy9EzMCSZtwYt/B2YFaYILQ/3UiniQK +dcMPgRfB39N5psUxf8n5TNy8hblhAQEURRSJxvr4DrYBCVjvkDHZQ4MWxvTdYhe7zX3Q0Y6QKSsa ++4OxssvhwXV0NSmUeUUMJu/ns9feZhkxMD8ItjvqftY8Se4/64CmHowKJFeIFHtzajFr36Aw/+M3 +e42BZLXXsHdiKb4hbjXFRqmGdpyF5YnQprV9pQ4NxsArOFqr9lMRp2pA3SfosVR7E4YXomYp2k8d +Muh63ZmLW+VxrSMhJcVXPcb8OeDQDiCmaz+pHNoJRfY6vYghdpULkW5CBxF77FchNqemmL+FBN3m +1tSEftwYIn67mlpO77iIYfG5AhgpR2wYj86OgOEFFkeTzpSYzbSlSaazUqtghIIccHYJRjJy+YDM +qrFd+eOLTSjGTJpz+AEbQCTpJDG5b0HRAl1QifHtRtUNb2k09bZXFgc5ZPHM5/Sez3Yl177V0oJi +LkPs4FUfdn+ZCI+jOT84oGZm9V98u0TtYMZwl1OSMRb3QFlIXlBZImrewRTgDJ2+N4xgZ0Y9HNWA +eZicW2wunZMjO90noF6KpdxdO9Pa1xyZJQHYW3gBRiUBfIvF/RKjGMioseOcyHlSlQ== + + + zn7YNbvqHS43xrDz5Eyix/16hL2LjJKIocqzRpXrrlztTVIr86SoqNhWkmK+fJHry3eT0tSbBsId +t7vNd8a56/X5QoREpOUWh7GDljV7e76/X2DkveJxO5RCTtuRiQOQ5I7hEAOg5Pzb2jZS4xia+Ixs +yyYQ4QAZ9hLk0jCZU++ATTGAOdUQeRxF8WFBcVisFvPU7P1k0vvKa6dFPihJHns+KAld8WQ5dQrH +lL0LE43JLB3l3PI5dHNYVTGrpzBVcPipcQL7/iTJywgcbE4vk9BZgiJG0NMgb2RN9HH2PbGRD9Dx +4MvIAWcYaWDEfDALU9nNk4p3m47JxAkIQVq4urFriVKGpMX1kEXZsZ4LeGU6qQq0UCu2z4+T3nAi +wSotNWpABYoT9Xhc3xoyf+o16m473WIFSGSBO11qvwSee/mmEZ/rAF99XsrpRkcbCdaoRxOnB+FJ +aiLmydeoPMX2nDrpSCmuRUqwtLbyLmnKFpS2tGeM2sgRe8uiQQHYMBV84W3TIl2gD2Pp45sAGSvM +D02qJf9+i+hqDdzVFhjJISWRYRHP5Cz5McmZiUVShOK21bQN7ZOhtUxggNdseKjLrgFNdaYlB7rl +6Z7kFPGuR8n5Qt57jdSQXyxYny3TG9RXhuco9+5zTFO7m5M0ujFreHmqeDLHpxBytV+YVcWWa3YB +xM4C8jgxg0pNHTOnUehJUa0eQYQBjKdnQ1kPEFEkvjXp/vugN7eRmHxubKH7hsOHanPz8+tPVS10 +DycnUxzpuPqwb2rMZ8S2MBAdeU2spptsoalpIHqPSblN3/OlPmyrupmjOjIwdrxSaJ49DmVGkm62 +B30+Y8Y6LmB3ATm6vp99CHus9hQ6iLfKwoRyMbpgTqV7thnxOKYvHFqxRqQZDWi0ds0iO2IXs+OP +f+sluuBkTWJLg5fFMd6KkRLdAooa+Vxa1agGCeWtxC6Kpi6CpNx80iiqXZ3egjwiIGkQ0bYL0uHj +ZBxxQraLUobURIY3yJRj7qGsWAOi1jlMbYNWJ03qEXXP02vrn2JKIWZdO4Ja+OCtWWr7vG/O5q/H +DEqd3jhn09MRaIZ0RfOdpXyw39js0K/5XgC7aBuGJ7VfaKZa1wYXG18hdBIsb5Hkew6VwYU9Aheb +EV1YNiPtQCcf2BozqTG/U4Avq2+IIIqP9Vk2s6PNcmY/NH/mvYksTZG6zoajEbYdws92UUkjHe1S +WwMLS6FniR0PM2Al63Wz/WZw8sA5fX9gZ4xMOA79kbsWK1oGwdQPDJoXc/JrklyErebDrv1ulU1Q +fJcs2GIY0Z1ebaqmCLII20XGpcvm7VFsQyOrySRIqm1CM4zAPPkudNU0S5ssqbk4KI1ZsF7OmfjW +BLC6RcLBJmQbITDkXq3ZQTwCJ2QRthKfFe3JdWa9pvp35kbbIT5p8K0PJ6uB88DHWfGpzgPZOf3N +YM21qQCVv2oI/rF17MWzdWpqeILcXKNl1XzaEelMSLpDgQ17U40NB+xAaG10tTbIzzw59od3eG7u +LO5D9bqjZO/1M/GudO1iE6hyesCuJsxTUQU6UbaqwWziJSbu+KGkbEdyD4mAxY0Zm4haIP7pydZ5 +S0Er6NJpbhxRo7Cge2C7OAp0fqkAE9qGWxUxr6z6mZdZ4gTs1e4z2DfYC7cEsqywoVTWoXIVRSls +rVZBm7E1s55ibC9lyQUPjIQZBVyMOzvlk7hSvFSOW0WN8nwCjibp+kxJE9VUURY0byFBTTs2S4k4 +CEWcbOJ7jFnN2G9bsII29WbMhCi6HV2MmAt3xWPppNmVplB4P/RFFcNXNQf3yKln1Qbd9zgBetcG +Zbv4k9BctGHPsy+kgWHHhOTg/X5jg1q/5sZAmHFlF1/EHw18j9ZmEsCvKEOztGUHyyeDfttaTnwV +M1jWmhkhfM46WYOij3YR1s5SufYLgcLzJwmEJ4s/qYMZZUVKJft+4/2l2O+GVNm8QQujpGae9htq +RRSW9Q9CkbhH9TwdNJk5SB4lqa3oIBMPEgkKAql86Siy2QwSvKgpYmewvP24u500Bmxl6l0OmLOw +dCDSaC9KchNxFxL7ZSld29AObk74IN+FwrQ0rBHclV6pRLemefhM20iEcKgkuTaL6IuXedIz9gC6 +diVUEtz9zYNYaQrCPSqI3DADWTJjosG2iqk8ILhvbP/aamMfeOoSlturZCPyyOi/SIV0x0ktOamH +eGtHIiPVct9rqval05Sc3mrEkdGDyBygdDwQh7ijloD0ZmsHIkbad8t+vA2H8KxQuMJd9K51EXFu +o7f0JYz0zAYV0FjzIaIIrl2DwG9WXIApg26OMD1ej8Nmx0zCtpFDgux9P2C1qpI2YvStXxNLuCWA +7FgvkVA1wKm7N+/l7XrWZFjICZiV/cur7GMrrHAr+hqd2mDO1JRiu+lKpfc+jrFF078EOUZsIT6C +qfTabgv8j43OsfhqhWyUuIxZOg0B8VYS4e5OMZteNMeebYYp0Gsa682fBKSoJELxSZUeBVEzi/PB +nKOOhdqNi5LWEcbNCk1ap4VIwaR1kqsasuKWJUxB+Bp6AjZXfmi8q8Su66E5Kmp4sdmPJz2Dfcp6 +KsOnmt5sNkWpzXvkJk7w1bhNhnVfjdrk578as0nz1yM2sdDfgNeU+avRmvRLX4/VpPlrkZq0fj1O +U8v9lShNRSBfjdHkLvLVCE0c+9X4TIYlX4/OZAj01dhMmr8emQnzN+Ay+Wu/FpX5w/xGTCbNX4/I +pPmr8Zj/GmjMfwUd1Ifr+RfQQb11Tf8pHdQ/fvMnvru/10E16Omy0Tnb0fIbYrQ/fTdS+x+eoak/ +oCjfC2+tRXIgs8uSyLPq42gnwiwEIsiR7Apxe2RNFom8aDNryiePhhWZ/433hTmDC1uReskL/eGH +aiU8IYs6qF16wo93W5RanG61Xp0ZcQIr2EySqYTyRRV0xdlUlvaylKQ975xe+gHw0JBkDH5MMf+W +ezhxAY7ivCUxnMiSCxxBLYrcCfAw6uGzl02yRW80AF6+04VVDty1EhhQcPY7/+tQs4WktGZsAQUI +1QAzsybj0jCsSfL6rW0zKkkGHezmH58VNx6MsBQdMFI1qOLamCk11q3tAVFO579V4mukbl3sHTF6 +7rUPBA6bxUfvsydyfzzpoT8ye7pt1pRXF5DA8R1DyXBB7chGhvM4gfPKSluHwm6motbaLlv7E8UY +B+KuVz5A3rgFdW0JTrGMro7fHOpdGQrUMz8LoCz+wc/vwnkVKaE4AV8mcUCVgpSV03D1CeqlL/p4 +lGk5nDsmXyDbCFtCKGHgh43SW7/ailYGbEiR+6cW6OdEKOU6rJ5FrS4fQY4ibcZEre/EIqi1zb4n +ElqoyGnPT4syXyAHzQz02jIama43UD3QfCbcicxEQXC0kzhiCtUxD30q9K71zAyHOguyIUd+zniB +yifETYpgzDaEhzQXw8bwjoTewiKxEtrYNJh7rWDcquhLOosUTXVCYz9RhkkqZ/t+p7pJg1wpHLB2 +kiEShWyjmMSEvTWJJ/GwNWs63MaHs6aLKXWynV0oC1gurpcszIg149Tr2E4QNPFiEGZro/BkFEpB +c2P8tbmz17YVjjpev4PwtYh+1K7VgcReFHXVI5IcUACDJXUhQcaEsMwKHICtSiCKlVCkoLBcELF+ +4SssF5gUejqDDBmEusABoJVhNDeP2vZW6c9a+2mEpPMQf6oUdO1XFRm9fvzCR4Dyz3mq1OtsBGKg +9w3JrnQqmDJmxxBumYA4OYfj6JLmTlkSLYQ0kuaL6BSfotYN0LFNMAJQj4p7a0av0TMTzDYb8l/f +3wLHMov4KCCw5CrZWTxrE8QVEjDG1/tLztLlEFDykcgCB1P2KShtJnkeL6yAX25ExmjWYZTeycMK +D30kS6HIvSRiHsGsU7URc9NP+jyj0tw/zWgfoHRkoUk2SPcLn78+iGNZYlSLbdWiGBH1b5A6WUHg +Ivpfn0Ca3HKgEX2whnQijRsgCKPI/pcPRccQr2obIMSF8RHIee3BUEBRuQLbrA13X6Wfog5qm6LF +tK4snsh26FR2ZvvOrurIdhz0fyvhgkVqQehpEuvCcxT4+t1fim63vWFkMezBEKmXvb9g0V0EIbiZ +gAHr7y32T9RTMtYgCE668nzAWKwkCUDnODP3mo430oNx2qKt0+gqHNEWnmFOWVn+kd1MHD7YZKsA +E8OBChcMaOAHtADSPAJGMpesFEAahjvVX3XFCx3PgHOczOBrJZl3iRDo3fq9gld6TnaLwKGVdiws +3J1tGOrsGSgEyq9WoVYXOammeQ0SeRQ4sjY8gk9L0HXtA1Ot0KJwYxdFiXOjMtPeZ1ZjUZqnI1IP +RCjSdJt0aAffo87wvOVs5+Tlq1AEBn8GJzMIKipFG72poDjcC2xDrQKGwSnihYniEeKQzQQFQN2s +oGmQhSrqHFax2fyi3sTKaNX8HZfFqqD3mAevX8Sc3o3mz/c4ztJhvPGU2SjgIdZgErdcMx/eCknE +lGBBtTeepMMGFswnvH085ZzwCwGxTlSxEyFrZMKodkXiPWo5sB9Jz7Sjg2Tw/8UModcVolOkLWYu +9MLwhHT/ljgcCqNz7OiBhnpegtcfpXtKEiWzGbVdA3OSsBG1HHGE8+QT5Bh9NS+2i9ZJAlkOkCkc +AouWdY0i7r5rjcT3GDttbQezQtpkA9PMJcwH9ox6iR0I0et16ZIuVDbiIDOz5WqNryXQTFrSb6Os +gsFB+zgYQ7KI+v60RO7evVYHdtguxASQf7ZSl3ddLG23jGBd1+/OqWVlGO+W//X3p3D/T7/8L//5 +V7/9zS//4Ve//dtfvWFx17SsN2+tBfu9cZk9AlcbJ/j9BmeNjyYltmta0eDsmhqasXTmAJ0zeCA9 +BUpBFMWGIU+AmKNDhgC+0fAzn8/XzY/N91UY6b1oWfgzH6FNu7lZRiP/azJxWFehe7K7hAov3XaF +ooEEMRtf/yk+lEUurXPYY5OFksV1urDFV/PzYc9bYoLnnBb+qdiw6/XfHOGOa7wPjB95zvj+h9sJ +/vpfdmb0j376+fOHh/3JL//h9W/+j7/72a/++u9++zztnW3C+9w/axytc/ds8wkmJ+cJ+vLmL8A2 +WjV74Wh1VAdyCH8A2hVGDcMvzDzcRyNjqPPpvMcYV6En4fzFwljbfV4np20hSEaAmYxiFtA130df +P/uc9/1a/FN39A9UBf7n7uhP//rhen7P8f33b+rv4Yo+eJ+/+m3+tnf5G97kb3yP/2d7i88tHba7 +bANcpQC2UpfS+LutiveFv35LblqafcN0Hysl6NS8P8Y08aL46oUZxcWpG477Zn1OqcqV4DqlUbcd +DGHXsdvGtreeIp70GJ8u4DKfiz1nvX/W+xWwG3iWrM1hG7OlrNeacVJmgKhMyclCD0jmH7xMSZ4B +13VE8f4YjQ0y1HzD7KzLlF6Ns3p2U9SIF4PfCjCrs3BW8bOKYdoaZ/npjGF7+vJjPQ== + + + 13nOeP+i97/+eb1sVsPI+B+nOOsl9YmGIawvTEaotCzzD05OSPCxkz2gynGMLn4q8G2Y/dctpENx +Vk8RNZKrKwgjVsySgfx87M4cirvPeoxPV3CZz9Wes96/6/0aPK+aIRccmV3uVWtNBPI2hP9FFQc0 +WGqouE1rF3XKFY13RhOtKUEuLLP9vEwSfp3U47khYAbhurRFQJj6faAVfDkhF+cL29NXH+u5yjjh +/XPe//KntUpWJzQ4epn3WqUggDWFn+jcgTBf5h9IY6yphzHe2KyVo4nvsHohGXm5zujUp+s8XdQ8 +uugirLgmDuI41irW5ATVOY/p/vLLmo+ChM54/573v/15teyJsty0XotFfRXv0SXmlYv9qmP+AY2v +EmLmBFwdoxedY8eUuftQelJ1BWf1jk7S/cUFyKYCq9/r60gnHWfXIE55jE9ff5nPpZ6T3j/q/QI8 +r5iJIBhBSl73krE8sLxn90XlmF6OERUSzmd7xh9dKQ1tdxSI1BSD2YFDZBTQOS/y+vPtYcSCFTLo +3ET3ybGs5emkx/h0AZf5XOw56/Wr3v385/Vqu3j5woKLWK+hiUNv4n5h9YxaJzIjKCjSxVbxLmzp +opUPq/+ynSXLg1PaGsTbiOkNWNQ8whBnHOYKFTwuTneMT998mc9FnnPev+bdD39eKas3+XjOvleq +J+KUvWT3hRVUqTn34GayUACc3qYmQCDAMaYGzN/rd7fZqWZmkYgSztp97CLFevXULqPaDWWW/XSs +bW2th1zELPXJ+HQFl/lc7Tnr/bver8HzqiFqrbZrXauWAUKiAqpWDeOnYcbeBolVSJzP+cZYsR++ +fnebuzdWYtV2sL7PkFjHBcimFg/J8ONI89nsh55THuPT19/m/cRCHVN6+lHvFwBVREvn3mXqP5Kn +f3OW/s05+jdn6N+cn/9Plp3/a8C5fvovAeeiIc74Y3AuHfcOzvXTtz/23/4O1Yn8/b9jWcKK49U3 +Zk/Len5bmEB063TYRAmIGGBmEoJdOAFvJgFg62/rIy/8ucKYLoy6Y6C8uDmGxjqt1F+U/EID09tX +Azv46FAIdKP3WF5YAUHcbgT0FnN8pnVAqs7MwFXYV2GCNVFYGFdFXJS1xw1/+EJckfdN3ck6guIz +M8lOvUfvFsTFJrZOtH+ei82cIX5h+k75rOxsI42nNXitOiqTwiaP7xJBej1r20J8wSJmqkrZknvP +hYDQjtMa8/xeHCLVDODjlnnz1+FliW2GmQFkxfxPueRGRm+cRPZOgc5LhUqnxAhC+k6wfxGSam5i +tS0gdG6qF3X7MPJl2mK2zJ/V3YTUsM0AGHb8M32pdB+tSYVFtwZvnNl53H/OyBGIZVDRLYn5sema +faxVoHcBaN0U7S5gYO8j7blaVKv3oZsfvNkTsvbbBIzUAqKWVclnn9Fwh89jPzzl93/BY11ra0H6 +svKe2eBgDUSfxYSfGWhhbsRD6y2RKopxFZJmUq5hb6Yydp9fmF6uSAdLGiGwVhbRwQ65+gvuHAAk +GKjRBh8/M6Zld8ylRCZeCFOaOmpsIV9UJKNtA+w7NRmHHhofXxd+qaIZVQr8w2eaSw00c0+S9Sp7 +80kg8NoubGOs2R7ykaRW1UP/rEBP5DPLV5gTyUepzvRMoXhrohrca4vm9Fxoo+CFMOsj1Np4J6e5 +Slzt1ntieyUYrcyI1o9fAcgJ7LI4L27vr43P6GppNuVwg2HqvMKPNzF0Wu2Voi7pyPVB1gCmTdYL +Mx4pXgdPf6YZUEYHV51qHwFX4cTuq6J/eHuxhuDlypqfBOjNwFeWO3zmwRQcsonWpqIPaHq6Q2oo +SDJAJ+O2RgkdlzQZ0lTxaSY8SjvT5ujxnzNPdf0ngCETdWlWxJMZlH8/Z0AIN+oAOfOtesskurTQ +o/zMN6JsVrMW1QU71Bc5cPJwDz9X1LUoJsYhABebQWnD5uxKcOGJlWlDPvKFb38SDsF3DfiE5mVH +lOptEOwzHQhmAwAobGeaWRUnP+/PeQZOUjpj7UEqB0yxU/fJ124RPvp4bU5zuK1ZL9wG/LhPRfjP +TZsEsDbg1LgGxzX6WE1RxzM1sWlC/tar0Y/r+wseCuFHr7dOvgwOC8bonE0aWP/5M7c+su3aUEHR +rjF7kOMUiYJ6CCLtKU3eWACAIRWf9wqhrBzfZqFElqbVmyjo55ZQPSIpLL1UHBeQbuLrgxiem0vW +uE9mZmZV9ECY6uNuUhiuKOAcaaJk9CJbYcjcItM1b2Qx0wtXjZApU4geAS0ppZGJUVgFY8YJHXgP +4F6Uug3gMzdIY3FVFHqxfSGvGO+GmLK1gm7iELCbullothFjwBuIfrwUFII3YxXI3bbE0RiL7YNF +3Cp5pBn0BG/uwIujnkwsiYB2g+9s1MldV2kgRrRHPZB7pLg1RDohyc5B1ggnDXWvZZNWHHBzWi4Y +GSDaGJBYZpxckOxNfje1KbN3tzF8iGvSGlo/iSKJunxTX81SUwyjidIBdntsG6Xyj3471yQF7YVF +PbZsX2hunLmuYsGDQGjiKGpdO1RDi+inWgCSTRi0YjqqBhzTID0+dur8VbtqO8fW4L9VckdePSuF +SH2y2HkGj2R/HbWapUEwVxQbBw87ISi4iQmXb19DgnZVOqNUOXVIdKv6sW8WBivm2TMYnQ0IbPDi +L9xLGHGlCwBt/J5AKAWxkGuR7UE4lkH2tMUJY1WlS2+fbzw06Et8aRtrro4belGzhfMiSbrgHtsN +8aeKMI3jCKg2Wkyl9cpoF+XQQDd2Pcxi2VOjydt3v18LMzH1iVahZRxf+N6SoM3MRFY6N1JRW7EF +L6rLUsFoVxaIpkLCpRX1JUh4OnknQoclbke4qDmUFHWJ6llQzI6VT0wwiRSpwoyuClkI5Dlnqpqp +Vn2rx8OFm3FnDW4r9QyqcuJgH8F4JwN0CUsz0h1bx2I1GiP2cTOjvwRqE671kLBu1vDhuxugOzN4 +y3wztvhdd6aTwbQczt4ZtKbjZtgisHJT4U+JDicjzXyYSCCP6jXMlWNtErtYfR2omktK4uMix6ac +oa9CVLHNpQ9SQtYtzLURbGIy1U4bY0NqC1Xot8HIeMjmqW1sSdHIGLj+jOFs5IkAqEOL9rAcgvB7 +c1ZTN7fQy6XTMeri3LHVrv1QOj7dArs3//bPnouK71FqDKUgom4a3jaYLfRZ6sgyyyGjc65aSj1K +h9Zg6CgC6gQqh9LjOB0icyN83V4fmp+u4jd3Ffm+8JrPhXMcf+Mt/fLGPI1vQKEECtemXZ5jAMcj +jWNUGbi0MZ6OBdQeV72OKO4xbmyj8cPT/9/euy7HdRxroucF8A49M8ETlMOE6n6xwycCjYu3RpDF +ESVbnr13MJrNJgmrATAaDcnSj/Mq83O/5uStLqsvuBEkIZmgLRLfqlUrKysrKysrK6tkBKiHdGut +ePemWyFAsCK2sdweLwVbk2xL6bPefPK7b+xv/Cvqtttagj3JW1KCeAMZJAXlYclJiygLTXHkNtC1 +VFwdaooWzdV8s10mJV+kAlOZob6qPg2BDa9ZyuojSxAqrlhTTbUqIayWVx9DsCeroYHPu/Gokkzc +FkM2XNlVFK4IVkLxOT6+K5mqrdvV2YFukKCsoBhfX09bS9JwbFOw5WB4SEpywTlfjp42VPG5rWOp +lhUbMdapkpIy86V8Bmn2Q6wnqoJdpypObTns/lVBWY2gvVUs7Tcny19m85Ug2t9J0NoNA9TU6LWs +mrIsFiTw+1QchnLwCSNfJE9glFU8xTIEX72xNkmAQzChavtiVAd20BwLLHdBhHJzN+5lyoF5TC9U +gu7Ra2skyESncmgADw/ybYeYC0VWZrGeu/BtuZRK0g9cHWDwQHG6cqZLhCmht5TlTzmOiZI6WayV +ODGKfRLlNInmUIO2cs3ikZajY+j3lXtQlITvi4GjiqXcThTRFTfsm8j1SoEoCcTFxpAKYslGg7Mr +RpIXyydnU9JxmDIPqDLD0L07qvph2U9Gdw3L3R9aFvB030+o11DWJFt4WLacXtF1P5WuMalHR/gu +V1oaFS83paoO0t56MY4R44+tL13O0MphS5wX0Z9RKOCEGJirzYmvkc50CBt9MaCpDWK9Ob5cZEis +pdiRaXFQBw6msC0fPN0iJIsjUSXoAxHjT05G74vfO/ApXLQVUvV7+xKhmVvEFuZE1eXEcD3oQv+U +ZNp0PWg9FOOyHESmTK5i5KgCWknUg94XvkE89yf78KxNoavcC45B/lpYSAfCBYtGcuBRxp7yOgxo +L7YXHqI7FjiWoIti1dKtQUosJ4rnEtXH52foRHvucp3x3fCUOzOURBfFdtN13GbNMywRoHJoR3bl +8l5K8OSK593UDWXP4f1iv+ZyJW/NgWT5RhwGoy1GsS1rVE6TyBAvAwkraW9dSbuLPGzWjeMc0Ay3 +zYMg57493WfCmITpek7KX+Zp3jNjuCVnlAgX3+eXzb50l1auneMEwTDMLTqbdCwwp02lEA8naawo +J6FwW9JJ0+0qbP3KcbBitMWamkfUNIUrOCXfKsGXuZwxpxN19YA1nuuXk/Ma9xKOC6pqHiztywFL +ucEZ28ICT8dbnZG4POPLmVvFh1YpSCXEcnMYXxdB/gQlkSu6XEND52xdeV/zWWVSMHI+lxbdNovW +UXLTN/psRFhityHjJHWEzxybdiweIT5uxFfWy23nmJZTC1g9MqHcdo1LMVWvS8fpL4rOsF4ufomS +vBu7soQSBMzSJaEEGeSuuqQsb/pTQIlzHV1KYDoOKaCTZJaaM+7R+7wth1sDIcdaLS+3aKbj+xbo +DnE5tWhYbSNVfGSQ9n11dSnhcrUs2rNWhS25JGmWI3PU/LLBSweE98XPxwkZaM2vxXGMMLu/KRsn +pyekYDdxbJpydB+9VxKuSxvHJRQanVp0XwNN6+xLoLKh2ApyEQrWytm7yYAIldt4/EssIDqId7xT +tixctYE48BPdcpK8t2Y0JpCdRJQ/3rhabeBDayqWG3XYLRdKpo2UikOJM+TxtXBGN7p8cYyaevad +9kDIVxpscVIVAyqTctoXtpS7fzJHgJcdPWuVFM6cogqdk4ouYqdYJi07hQDy+TrcIyu3mBPMx4fp +cnE+p4+1ctIh3BTiHJVIgeebcxDEwVcci2JvUe4yE+rOplzZrfEaQpHELHkiEUzNMygR2trxhTqF +XXzVGm7ec1JdYrfkO/GstqRjfLnyPHjfxCDIRiH6RVKtgPc6MTFLCMWrKJE2GCBtfPEg6nIsmHK9 +5rY3KxzXkiCSwZDLBelWtqiwJO+A4j5gSW7Syb3BWTmWEUIZpWm/tWzoKTm+S55J9KjuizZiJcm7 +8ap4YmPZfzRypYkoJA7LxQ3uEpcbeF+KQEq5XfQB5zA0it19oiU5JRVtA4eyQ055/ziE11Xlj+EW +RrKdyr4VgZJe3XBWEqnAllw8nZqMbKdxfgN0iZSGtdyqyUgmidiF9cdUQct5eEljtQ== + + + sHnZ2UX/iJzDoDaUIyOJgzhI97JCNZHHAtNlJb8y3V6RK8ONeBBMvUmP5qpYm2BjuadTYr6M5720 +MtkJBb7uwapylRuC2aqy1elzEH8TLQHKZCt3O4WSM5Cm5ViKSroxuqJMlYy1FLVT3ufgTyM7UMeC +5kCzAi7BYyqGhXSt1bwLLXaBF28HyH4xTBLPP7ZFleC0zaEa6M0p2wyxSCamnYglNgZtagrEwRxq +uMYp4RuS3tAkHknF4FLS3blc3oApNrLceEVaurpbEl83E3kT7YmEkARJbykags4mKyGAtjqrEaq1 +5HbTJTAccwZp8ZG5GGvORE5QSWkjdUuqBQ11wkHMkVCsY89OR3GDiH1tSvJ81e79y+KZwcQqfYJh +X/1FkqkK95JtqbSkHaD94SQ+FFsmSyqrtLTXh+IEwHwB7IfC9rblhJZwpjjIvutL/pFgYlmVYrI5 +JWW98iVkSLKcms69VIwrkk60D/fFKyg+DxOrRx5vwxLVGXn7k0GOa8cvxRLARpd4sZbM7Gk9Fljn +kunZB1mV2rKXahWXlfWnE79dd+VKHctWFWOYEjVwPFdmy58xOsROHLSxbtgbMecpdyCOhWPxnIt3 +AmO3vFQrd4xSLFO5ww+TK0okkmNBKvXK+QtMN1NSbul6Vgx906qstgNfRoRhRJi5pSziJQ2MsXz6 +XPwQvDeFuW2SKVlAJAsJBie1bAs4sCq1qNSPBbZsDKHyc5wJBTNURlGd5RLK2EduBZdcdbvw5Z4U +55V0KcuWiJFD/1wn783hRGNK6EeUe15lrtOFqiSBZjgtytVJdCmlka3+KMIlKUZ5XsdpotZaAw2y +LACRAdzjOtV8s+gN4zQ6utcn6CLica9jvQoySgIfAiW9Du3JcCIYHdku5Qps/Zjs0h4LLFtWOtbk +4tGUwEBdl2XsPEzl5Jqvqc+02P/a15EQ5V5IApVcEBExtXA58IO5vYvzjXIksIGH9kLxKZbCdjeE +4jrzvItCAWhFLiQxJpqYSrV9KcqfTXBxsoXaW7rmg0PQeElrQZeRlPclXQPAykpwZiiKWrd8s3Rz +npIzC+RcKdxucRWUnLVGgoqbDm8BYX2GwbuUypqCuR3vwq17cLcGc3++8vsfRxxI/Xzvi/wcij9b +/jyfPW+FunhsXSKQZR6KxY9LKQhPZcIQvaxCH8rJFyWrtkVI4Z1B+GtbmthY7g/WjhN9i5+JVTju +dZerJytzdGxnnMmhYqMIo5exm2PRdNq37MOpLFvRkNb1os120WTmhGtsIBRPdDm1us6A6c74BbDn +8XdnZ5PT2cvR68Xk5cnsbDkyn42eKBzeeM7lCehvzHuJh14wsMDSqTT0Mcnfgjq8Wof8hx4nHjAc +RuPXOx6jTtH2DriWwY10Szn8gEqchyR/B/pfDSkr7zkZ+venO1aVIDIbyEjJm15ORlFS4BE6V1nS +xtM7f3Z808+CiU1Xl0igGF1HPOb9t/H43gX5d9/drMrbdtDn38wm868my8XJP+Ht0eP9vS/+LELw +7avzxSk/EkJuQe4lRavJbs263J7ubJXxjaNh88jZOMo2j8etY3dtmG/UB5uGzpZBtnEwbhi470PZ +HYh/V3lfjnF6VY4KyZqfPZnsW+M4etXunoqpnjFQXdp/uthb5vFQ9jttSdxOid9zyd3G6cBwBdYu +8URXThbTV1mJCg/seaM1s1amuBDFgYXRSrlzN8rFksrXI93oOCvRMMrWGPqVtl+j4tCTXTRcwEw5 +d9BweEMKzcEW87yjP58sfFxS0Z2drpwsBCOzbKbiTg1oOEPSinElUANld9jwbtIYXOmx7zLf851R +09z1s+MbfhZtqN2Yg4gImdufFNw2BWdtSSmG50xOBZULg1C/xXplX6rpJEpYFTrQKCwNT51G0193 +70S91TCDKLtSdHBQEsinEthF6q3eXhzLaR8KMa0Xycm9OujJCrZda+BEk9Faqag3oQsdZCmW7RfQ +FhKGWFacawx4n/oNkyua4mFus4nus666UK4LcE7JgUxfIsdzWdyiQ9P5dhedOIU076kyt+g6a+rC +epGZkT0h6teazYJuYYmM+nIXYMDFlvhsy0IY2eoKt7Q37Z5dz5dmUaZbVe9YZM+kovwebrSRA9dq +OU2nEi2qObqa+A5q7okmr1seodsbz35R/jwwsXBhoOu1Oaom5KVNOFByT4zHCxLA7rfobcbZd/1V +vnMY3Wwmc5J10DV3++T4hp+kiFofZcFF4+6Tftuk38jBzsFB2vJtMKfiR5ajAOiiz75kz42c55R8 +zqYcOZBUhhhRV2+JSbae2/O8ehf/iJyXTuU6I8yqzrHHKBE1nybeeaW1bNiVm+JSvVGPBlrdCy+b +m5GDrafisTa+7LpGX3aw2GeuXKFpAwPer4Iru2USxleTAaYkccIUYspOqnJGyhWfAcaZcKZarXZr +/l10UkkuS5xkJLuHL55CS+FE3FUxlyN8dPyyLDIt3dRJ9/T5GhKZouzxyGXBNKh43wYvpg5ljwfD +nKSrQktUrbr7eHyst4ivNP8a7ebwSEXRbnTDOceS8X9Rc+Ft4pgIvPyN1ikGkpS/i9TwlWeJMymj +5tJ0Dbkblb83vBjQk0OhD16ybKLiutMXxzf6Yja+JkpJPJN9fLV1iypvGzV4Pp9fLC/fzC8IWAkf +lAR45Yh5RjsYFTzqzFtnvgvllgRKcWpl3HWwK4njYWophzfQUR3EYaskWqVgvGtKnoUO5U3TKLqz +q4DOd3IQePtUDwpZXG2BOUt4LPU2OPM1nf3HMLsqXbLV0VUxduxJGyrKB8dLc7sKGmO6T/WgkLW/ +mbfHILKXNMHgogsvfaEhC70EQuCfH53MZ3/gf5I4fDO5WM4WO48xY8L3f9759zrGaXOeP0cntf5z +BOaNx2RJ37+5shjiXJT/m0aYLZFyBsED+KN2Hj2ibx9MlpM/wIg0Se98/8WVqRau/bnN2+Oj1b/L +2+OjzW/c37d/62+v83bb36s8vx3vH1q7P+TbN+fx6t+feH6znyF/PvH8fbx9Nec+8fw+374Z5z7x +/D7evh3n7pfn70b5r+/tu3Hufnj+bpT/2t7ePr7fP89/vVy729vX69T3x/N3o/zX9/bN57H75/m7 +Uf7re/v2tsO78/x+KP/1vv0heP5+KP/1vn3/PL/5t7f//Dbfvvu65Gaa4qG2+2O8/e5rwZtpjIfW +7o/x9qf194d7+/7W35/slpu+/YnnH+rtd19/f+L5TX/uvhb8EDy/+c+vgee3l7UPyfPb/zwknt/f ++P4QPL/7z7+mP/X23x7+/Fp4/iHnsXfn+dU/D5Xnn2yH9//2Q7Adftv6/GG0+7fN84fZ7t8mzx92 +u38bPL//dm+v+dfIc/65H57fX7tXf35bcs4/d+H5+2j39d96f99+/zwf/nycdcnNv/2vyvOH0N/v +/vbH4PntKf+Y377+59dkp15P+bt/+2Y//zo8365T7+/bN/t5Pzx/iPp8nef39+3b/Tz0tcH965b7 +/Pbdfh7a2uD9z6G/Tp6/+/j+EDzfTvW7fvvTnsXteP3Qef7r1qkfor/v9vNx9sfu3u4h5dd/4+OM +sYcwvjf/3MTXc/XbV/18zLnkYY+x9/f2b4vn7ecTz+/y9232LNZ/PvH8Ln/fZM9i+88nnt/l74fM +tXd7+yHx/HaUX/3zkN/+GDy/H8p/O2//q9gOd3pby5/7/bZWVkV1AH8i/EvfI+VGRW2Nx4ywxmv8 +irnF29t/jBob7WxIKacckrPGqH1l74FyraLR3mc1zgf2wI73svZ7JkHt70q5Vod2P4339w/HR+Eo +HI4PTD702cAX35HnZueRtm68Fw/90d7RIfzZP9IHKu3bfXX4jtICbPZq7xBoPjjin/Gh3wturA1z +5M6UU807j66q+86UG+FHOBpDrVv4cSfKuRcPDqDHjgzUHof9eNNqNn6bZW+85w72Dw8ODsb722Tv +DpTD+DCH0Yz3D5DnKRw5x2PmthVt/LbT2ce9MNbRWqvd9nF+a8rx+pWjfLjn/IHGOTTcnMfXfhul +ZC/nPSDcRJWurvlWlKOUHKS9sUl79gBl7h51qlbJxLCHhMNIccopM/izNj/c4tsW+tHv6T3jxybo +oJ12oFuc/DHQknCzkbnh29STe3rskvP77sgd1j8HLlmv03rf3nQ2oNGu9/fHR3spH+b9PMY/O4/g +v3vpKIytBkm/pdzIt406sofpaH//QI9hMJa6r6v5GsppxtXK7MM04MYJmj/uOHKw82gbR675wfkW +Z4MjE80BaBKzZ/2BidyTN+vFLZRb0B/wst8DSoFaGJHKRz1Wfih78PbtKMZ6k08wkY8TyJo3fi/D +pBv2rh+R11CONWe/n91YQWXRObeXxjQiDzU+HY4a4Nq28bPyY4hiqHfvMKeQ7ZHRBnosjPfG+cij +ndNzu/2xwPctelEoR/1vMIU51Oyh3w7gHRiMMCLdGA2o8WDU9NKS7RgqHm/tVQsjBFo+VjlBvRks +PUvYXt7febSvxnYg2fhnn/4cgJR777bObdjfyYQQ9yLMKWNzQDWz/osxQk8qqGN/UO8BNMnthb2j +MfAcGgujd+MshPS5BOMjHTrgn5TRKuhso8vuENo94IRXHi9WNuEoub2DvRjgnxtkCLnsQ4RZcH/v +cEXzGxgZh9qs9JzXY2s9jFUfod8N9AV+222gm/X+4b6C+croOHiOcrUqawZKHNkUczYBBDUc7qUt +dLOOA2WD37aH6uhaPazVgU3J7IHN6Y68SUdIt0N9vko3amYYz8CN/etGXZXUOgd5Y3PI0P+N7vY+ +1Qw9jrP3gfI30udeH/iDPZv3QbVEF0ACkG4YVfB2hvq91H+r2ZsoZ6rHSDbMnKAKQG4T6JoDTCMO +49aJvh3O3sTpayjHWaK+oTW0GiU3gd5JIfi9nUfmCEaG7ji3BzajXpGQTT9Wg6R6DTyEIUP8zTTe +Dvf9OOyBVrBHWoks8Ozthv24lfJGyYFQwloigzY4zDka69VB1edV/rJxvo7GbTRz+3F8Fw7iqFPu +MBwEsAJs1LnObWxR740P9o46DbKZcqtAK0IP4iiBHhOtZEBLgq7Hq8zb3Nat5nKGIZBz1XzrGgHr +hedQTqU91Ejwdmkh6gSk1lIr2k+ZB3zV1g54bmUWVDTarUrawUx8QKUczA5mRZNusx3q7IV9Ecag +TiK07ojkP6kjHfGK+DDOierdb6uEG4yxUjdMKHtHIE77MIYPoX6wFEC3gDSEvQSaCGYLrDnffJUw +oDyND/dBV+75BPLooddgqB3uwRjZiwlAotiuvX095Xi71R6YIXZfg56FlQHVCWMsH6a9EGBZo2+/ +rqmUawvcCPsJ9aGi+Q/Gndf24Cr/xQ0ox36nXrMHbo/mqz27DzY2oPB23CCVt6FcZA3mLlttjbQm +sXejXKnB3NXr95uvLHYePTo8e4lZ43e+/zfOYQ+/Swb7I7m34JsdJRcTfDm8pMDsKg== + + + vJv0J7mfhO475jt7fW4354Gm5ft/6K6Mudx4Gy1dPEx3BSXLMN6nojXfk0aXuzGKt3hky7eJ4AWk +851nfF0m3aQg5Pywg7fhQU0/yU2VdD0u3wocoxBTUZN2g5EL8/A6Mb6sOOwmFYb3YxdsKrd+55wH +JfGC8WToWvtWZwfK56c7Q9TSNZB9lbZe4dJdzi3YdGdAZ1+0tbNUud726c4Lvn1CA9eVrv1l8IZw +vtbVhlgvyuH+0lAYb2RBDOhxdF2rirto862AZtfC9CdtLLBHMrBavmgF1SKCeOt9rnzHSxMbWG7F +xsl5WDbhrYt0sUSrtYEDCnrY8kW9DDq+uhkvfcmxXL8TM7EAb5TH20n2QbI2XiKiRp9/cbYcPcZL +P0bT89O355dnL0cXbyZvZ6PT85ez7tKQblBgT9p6HSHda3YqF2yXa7kERpHubxtZ/9ej55fw/y0D +DR9sGmqEbxps9GDDcGN8fcA9eo6MoUGHzPia/lsGHl4FJUOPCVkffCv4HYYft/0dBiBXcPchWHh8 +50H46PkLYhvxsA7F0qdrg5EfvMtw5BreaUByo99pSLIMvtOgZOl7t2H56HkdmNyoDUOTSd0wOJmA +7/qbnaJfG6o3uCLo2fTNYvLq1clsARPs6NlycTJ9s3ZPUJlv9ep8Wy4FguHmN94LRKPcxN1sUpny +LPdQ8tavaZmbEDw7eTU7ezGfXMxW6LwUlTRUCru+Vwuj9jvelvN8861GiAP9rHu03A6vNd9+c7qC +401b5f5cDaNN5BWW1HwnWP97GQIORuCwXNYOetkM6mtY+ba8X3Fjd2PwYdTViUOergsq3C+/F8EX +GvtytS2tvvV24/tb7m17PP5s9DnKztnr0eNnKOzj+ezs5dPJ8s0XByzyj7/cWuTbn9/KuHi8d3y8 +sdhXk+X0zbfn49mr88VwDKmV3jWD7uU5xdlyU3KEBUftwPZA4b3JrERgTBrWAH43y+XyeNVxNrkD +ix4CFvqQh6XxamaXzLDeDhQqmv6WB3iVr9F6NKjXgEbKfGV2o6KApUcrzV3p1rqu3nVeXNWpex+m +U/degeYZ9Cnem1Z0glxSVod5M7O7gb0yrK++qmzDgL77cH63wXz3ofxuA/mhDWPu5F2HF/n1ferw +zsbardyWyBeMazQ6y23BDca7EJWMWrzUNvAN89qIRQGWp6MLBwtYuhDm1Tgom8HwiZpv+62VdmAh +gHuxwnjxo82lG7lW7CGlxZAsFFSwdibd29kVba1qlW7gAN1fuOu8cUPeNWYK7/DOb7k513ifhXUF +VYpujmVajMqeuZEi33YOdLvsQgeWFWSky927shk+kI1PfaUdVj7PjKswtNFrG0d9pcGa3eBUGBBQ +wcI4JrYvWxvVKl1vvvDNpDDkW3B2lW9WLicGEmzylXECK7wXOJcrRQ1foQ7EaGeFcCP2roCFc8ak +QVHkBlA7rLMDy/cL5wSGRlo06LtKkRkm2Dj4fgUr47wZFm1tanVuaL9wTrk05FwTwco5Wv7Qm6Fc +fdvBuNBJyhfOZb5NFic/X66+zTBDdmC5eTZEuv2zlc14e7dLYVBrBxYKmHcVhnaib23U1xosiLI0 +vlJQwco8orYv29rVat3AA+aerZpNmOeUX2Ue9LHmF5NysTJPYLy2N/K9s0COtYmY53ZVrqRH61MH +FuZpuvW2K5vxZuAwrLRh5fvMuoLirbfWF85xlcgN3CIYfL6ChXNMal+2NarVuoEBwjkfV1jXhrCw +DirJTsZ6xqn0dAgDwRkUamFd0sKlZOXqchx91nVg8bbhtu2gLC1noxlU2rDy/eqJijLVKyVvlyqR +HaXl9fMVrKwjUvuyrVGt1g0MENbhRfMD1ukQV1kHE0fgdT+trE+HMGgYhwLA9DjjEi/nfBLTFUaG +Vb4DC+uUdWZQFm+LhoV1HtTagYUCrqDCBqQBL47va0WfRvQpDSioYOEeU9uXbe1qtW7ggXAP55kB +95oGrNyL5KeiS9Hx/u7TIQztLD4apCfEJFdtG8tX1sN8GZPvQG48mkJ+WBY5ojPPsrZdtl3BQkHh +nsDQzugjc6/UihyxeM97T0EFK/eI2r5sa1erdQMPmHsm+TjgnsXFzIB7oI+oM+FFD28K8woK5hTN +PkyN1+wYijCreyeU4359B07F45lt9IOyeCc53bnd19qBhYDpzgCGVsJsmUZ9rcgPJRZnpaCChXdM +bV+2NqurdI0Bwrmg85Bzq1ZxNTTJDk2pck5gvI3dqjJVYJwGs6N6NxVr/QYW1tGCpi9LDkCd9aDW +DiwUTHcGMLSy2OW1VnQXh2KYFwoqWFnnnRmWbe3qal3ngTBvdaK1YU3q5NJneBE0iqvMExiW9s7o +MlnACIzsoPYulV43RpkOLJe+0xTRl8Wb3BN5uLtaO7BQUG59FxiaaaPwqdSKDDHe5gEFFazMI2r7 +sq1dXa3rPBDmaTecL7q5t3KP1pTwJl5o35gnKPpFtCvTBdjnmp34hvkJoyhEW6HCOMPGnRRDTihn +B7U1TL5bWMagQRvfFY5RdeiMB0Nt+N0KFoYxhX3Z1pau0rVmM790VsMZAgznlUWY39V4gze9aEIo +3ocKw5ABS7DMEAEkgJdRyooXKOMd4q4Dy15cdG5YlpzqnsvWWjuwUFCWwAJDM3XbCpFaTSI3xYAA +wSrrmNZWsjWqq3KdAcK6EFamh2arVNY5MUhBZ+M3TocwNDLlUCaIaNheAZ2MGwtMuYN3O7CwDuZG +OyiLCykXeF1ca+3AQkFZyQkM7VTKFNZJrcAQzd6ZRoBghXVCayvZGtVVuc4AYZ0zK/MDjNtV1gHP +hXCabU6HMMxxxcGF5ARaUKNtqn2hHFbZHcacA/Xu4qAkr6J4CVvr7MDy/baO4yWs3i0LrlKnQdnL +g48LVLnGZLaCrT2tvvWmC9NW59Rm3AnPwq4ywuykfdFsBYXWJdGeQErSsqwwYgUlMFfriorAwjEw +0cOgLFqx0MYwqLQDy/eLHS0wNBE3BAeVAiusWJf1+4IVpjGlrWBtUKtvreXMMWDQ0DtncgyrLLNi +wDjy+5wOUbBCbdRlMkie1xNCblSs6kpwASwTxCFrhR9a8ZRSa+lA+WDhkaDQplB3P6U6E6Bk1MOv +FrByiWjrirZGtDrXmit8inroiess38onnwKpYNCGuCl7OoRxvzzYMgmAxST7lNFpI4Q78S8LWHim +Bigb+bw0b3U2rHy+LDIYNegwzqO+QuBEkD2E9u0CVqYxnV3Z1qJW53rjhW0uDh1xBqeJFbZh2C6/ +adFNdzqEYYFtvSsTQHas6x0vppl0ncv2LoHMNtSmJgzLgvHhjcvDWhtYKCh2ssDQTBlXrVLgh3FO +DwkoYOGdENuVbc1qla5zQHhn7NAV1y0ZhHcwHXktlHsXyrq+wtDK5EKZATKvC8GeMkb2QnCfagBy +09FedCtlweQS109XawMLBcXaExiaaVws+19Sq/HYYjOkoICVecmvlG3t6mpd5wFyTzaUBtzzq7xb +20EcwnfYP3zyrruHA/gue4cDau+yc/jA9g2/k9AEPZJNQPjr5U6QfcTHey/PX8xG+IkR1XLxGZWE +pcH3T3cewfAz0EBXwhgxQhd/4sE+/RTYqbFWexqG3g1DI43bElgpBxk3pIpxK6Gj46O08c3ybe1W +G6s2xCKuyTW6crMlFaVB7WRxGyDscpCuNlYcJqC1QxStbUrcTyiTKgmFKRNJKH4lLUawlFUkajrx +spRBky0ZcaDEAK0VKInAAgGV9R5OsRyBBXZc1CWoymlWskAAetz3y46sYyMygKGnrXh3EntPDTob +fXU2ymQGasTmsreiqgcQfbbMAg2jQQfD7IqOvZXrPNw+Lp6gx9CDVdZJ9Xi8N51enn5zvpxg2U6c ++YtKFmpg4ks8JIBOvghaUkt0GVgq0co+h7iYEIxaiycVlvemdY9sRLtdzTtm7GzwrLGDRKEFNGUs +YxTgV17HI2lsUXgjvAGD2lrR+M6z6QEg/OpEleWySMdWJRYl3IZpGxBZiygp2Qdcbf921sLnfYKP +34izm8MabxJ6dDIbYTjX4WIt8uh3GJlwIIEJ0FJcYKCHWMbehpCpjcEJ2A9gcVsWc2LOqSwxV2Cx +c3USS8zgImcIJgarTcywVa0siIUPsqVqonXFsTIEixd0Q1kQDEeGD9QKouiHIK5nUxlTHRxa2bip +XWs82Nrxtwi344WSiV427yk8okSEW6tE4WUUNHF9SNkI5pQvhk2pIHEF+8WGYRjUWGxlG1gryKUC +XG61CnIta0vZTN6IAtbQEL0KFhdE1i6slMUNx9X3XSVg8D5wJrm4UjaslmWNuQLuS++ul9VqQ7Ng +UG9gAcJr7NoCmtVOKPvhax1GcRkCuga6VTEokTilrG5lfQGxhWsVqM0UIJPWmtDXqlcp2N8Z8Kun +dgtYKvDDCnTgzWZQ3jZrGY85pMRgxp0MBn0iVydOZm3mhLWO9VJBCE6vlaX407KZuYUCIyty63Lp +hcIvx2X/PpSZAs8HMO7u0+Q6BIVjP66U1b2IZqsNR2TFomd85F1egqrQk3ezK1e6e1BfA3t56WDH +xlEP0k661noFlHEwrADbb7qPSdi0a0RJ5AtD5WWzXs5sqs9s/rapdNriF/CVm2Bj6TVwpfUNBrvY +FyMtWInijkmXWaZEDglY4xBCWCmqO06rnMMa2BHQ4LBBPRaR+nlnoMwLfFy3VWPxRWNMEIOJNvZQ +rhMMob+W/WvDcV+hrJQQNDrKyIrt/cw7WWW47cu3giV/sESbwGdUEsMxBV+cNW1Y187qpgfdwvq2 +gU2xdBXgiCixh8ZqN5zMihZjTm1QbegIiutlmwzlBq7Nsfcxef/uu3ev4pIW7YkDz2nFoHwMzYc0 +hGWTR3uxWMq2fQem7ixUg8ESqmVFKshmAvuX2A4UrIC8FFcbyuJBGd5/wTMb6F4bgLhLhWBZyxc4 +tLJqU7vWeHBP9lVE0XeyNKEF1OkKjJuesl/bwAgDisMfOjBzBfvDCtCNaKOXsmWRh5Fsw9eN6V+H +l2IxjnIMJUSwgI7LPpHIjwE4lX0SaFFaKYtzobErYKwUDCrIGLzihmWhbzILEnodTenbIUYNSHZD +SdTQSqosW9F4qMWXOCrUYvx6YA3PYRpGQihgnAZTAhCMeK8qiPw3NdqtwbF5CRsIUpT8agWW2bNa +gebpjUFvsqwZwfo00iwaPQ2cCgec86tlcd9txKtLCRisEKzmcRVa2OfEIjGKtzgIcqL5pe0NCuz2 +ai87cWZ4jKllkFjODDGVHMMjuID7Mi5zUHmlrJGJkkCMbRuCgTeHWgVWDMC+gsiTKgiCk/3FBqIg +F+XdwYZhBumkFlk6TnGoKoqk9boDi/g6a8OwLGoRFaRW8Qj1oGVwujOESVYGRSlwzvDmYwdaPl42 +fJ/m7/YtOo3FrudQdRv5JBpYKjCbytpNtdrNFNhKbcJzZD2IzdJ2DVxhga3sCsEUrw== + + + anBBIq3pwCMrFj0EixLS62VBpE2pFaiIK6DEoZYpqsCxhafimKAtMBzFPocVEFQHHlHb3xnC9V38 +Jwtx4KGBMUwSZy0gfxyjwsxKUVumPABDYV8DaSfYd+/74rs30voGwmKjxGs0ELRdLvsMHYxLlBI7 +aV3SrFVcmxhWwOlOmW7Wyrb5yrB3Y+Ms+EAsoObtUuSq+mbNVfXljh79z5GRo8I4bXLceOTGnQ5g +Dwo8wsQyusEhPjrE//wv52dPFydny5Oz10+eMEz+tf7Bzl/e4pPET57OL+G/X7/4x2y6LC788eLy +4s3oq8nZ5PVsMfp68XK2+OzqZyN+uD+Zz09eLyZv35xMpeS35+fzz0d29HY5WgDfPr+q5GejJzuP +sXgYPV2OXs0n0zdXlsei0CdQ9vzHyXxQlKraWN4gKVh+dG3dYPNAWaoKab/+Ba/WCH82nSzx3CcV +o6qk7BhYeEbHLJfLjYWl3PHscvpmOTt7SYdHZ4szLkxVbX7j6D+Mjf9hXJxdVe/R/GT2mqv98j+M +Nq9wqwfqvOqdb0GCZmc/zGfTHy6uLkdVYeHl4vztq9lZKQ3D6+sz3iLqyo8vz5YXy5NXy03FqKpW +9svzN/PZ1dUdzaBVN6jq28X59IfZ2YzbdXWdf57MJ/88aYVYKrZ+/YeT2fz3ox9ni4vpmxMA4CPH +yOWz140XT4lxZ1gF1bZSD58Unp+cta92b6wUPoSiXIyqurLs0/P5z2ezi5MmpFvKUlXI8vnk4uLk +4trySPTk9HxyRmU/G+2yngHFNNAy96yttoxG0EpNN+AvI/iTR9rT/6yi/0u4zVWk3u3LTcvQp+MI +ZnHn8X/4wff1WVZYpKu4xWrkoKGK//8+v1wVvHDa168m+Mu8vw93Kpc+De0N3FRY4LsSJnT/3w0r +nx0l5Db8L9P/btDc+xwD60oYqOpnGCLy85LIgIvJKB5pmLhw7xr+D8tU59FW0ZECcT8fUeTeiLy3 +iFuewnTdb9M+g7UOa2MMvczR8IM7sntjMzZNVFe1xnFzPCzALP0DbFwV0P6yGqN8uE2wyoi5bw28 +MMIwIPj3E70LL6A/kn5BCcb/Y6l7bVidp7k9f5n9VFsRFLWC/nw+ko93bC9ypu6bqDVzY8hrbZh9 +BiMcHZBGnBMOGv7HEzoqTqh6x/G3kcTeChlS55lVTFVAsc0kkOid4P8QcQl+SUgq9Cp3LxKIkvAe +6BQD6CqRjdLXGJORjcZYxvZPYXEWHgci1IF0Bs2iGrBtCdvzJOoRtPpaQb1PzbPJWkLdUyw6bveo +l20NCqf84e4ikktk0d2lZQstZJAJHaUD8kcg4SqbcAObjGk0NlUwsu+TTrFyV5j1oTuMTPwVGuyH +JWG4NFihxfS04FRicbvqdiTd5xjcZo4D2bQu2DQG3eeriK+ithuy0zrROTiZRLXC+ZSVJDVU3QPv +r6C7LjlWWD9QnFtgkte1J7zE6vUPtZSMgqHqddz6D9HMthS7qp2srba0VbXGmGqgxYARudA8/Ikf +pClt5XdlU8y2B279AXcZPbWtlY6M1IGxSsL5YVrZFuVXNlMG05Y+GzKBmtk/tms67n0sJzI/AQX4 +bPnzfHax8/mXZ+c/ndEvoz8AL15cvJ0tFi8msKgD4xSoHf1+5/O96fLkx1kp9Pm++EOPTuZo/8Br ++28mJ2cjLsDoZzx1SZHfb3rp2XIy/eHql8YTGCb9G4vzH2ZXvmLo3/OvF1IWKuldu9Cm8+U3s+n5 +4iX0AzzkYtK0EXtvFelB6oMtidlCiTKENX8LNNQcLvz5wezV6I+jndHjrnJ0GP9xRLSM/rgz+vzp +ZLH8aC3kRdy2xsF6di2G8h6atn9+9vLyZLmlVVe8iK29WkyubD++3lp/s5BRtdrcWgk2Fr49Bs0w +evzdxezwx9nZ1y9fbuHBFa2iaPl3aBa9f9t2tQa117eSvvP54T9n00skgR7Qu2sK45IWs2c/nJ8t +Lxe/h48+XT4EzXGnL71PwRueGripGOp7EcP3LHvq/mXvQSpI3MXT0DjzcfXjh1Uq+n479kZKZXwC +q7CznyYvZr8VVcI25tevXl3MlnRaio9JtRceP301eVn9BC9mZ9BytvagyEx4sKnQtyfL+bUy/gTG +xDezCeiK81cXS+wcV4DT+cnpZzxqaMf7H2fLtw/KWNk16NMz7ip7bINU3mFEfvymOvFeK5/Rj+ky +JQcJ+Vo79CNZag9wlh0oD1bjnUsaLHYB4b//OXr725qK0/swAz+MXf71bXti/AJGXM3S/XoxeQn9 +voRl9mfk2MGNgNETj0H0Hn3lGY/Ed30/Gr+GmsbjTzb+Dabj+eQSHSSnbx/EfPzhVfMdF42/1jXy +XcZi0a/jNxuHpfef4S6c1ZjDCHOcYGo2GJ2436wxq+KHH5xskh0szt+Onr2ZvDz/ac0kezZ9M5+8 +BlsLfXSbDbK1Ijcyx2Ixvt6cL375rAfAtiPzTIs19mJ+9nJQ4MX8kk7nY5SFQC8nix/kHbHx3k6m +AjCb3k5OFjeUQObKNxTuuH++OANbc40vh7hLMpq8wNCPLXxZK3IjvmhfmoByc3nxcZazH0vN0n7h +L7OT6Zuzy7PXD0HT3od59xA8mu/HTJY13eVyfnKGDcT377as+5KcZ7zBcMOhcpuh/PoNfneFsL3L +V4vJ5ZstFPHTm49cWwbuxckvs8H68uVyMhedLUMbJepsdnEx0FmTFxfn80vQofKgVght+uX2yv1h +TKSfnM33qyG/XJwsf5nNZycjUELj2cnr+7ZHP+II8qsjSKsNQ4hF4eIUHUi3UALPpouTFy+AiAmI +wbc/zSY/rBs7P0iRy1Zkk8GzqdjtGliMHr/B6OH2Tc6mbwbAydnw14vSoAF8frncxpVfyUKDdh/x +cDOmnqVsnegOUrh23TK1ufcytX3ASXurTy/+hnchv6bscpHiNzj+xCfMCUwRKR9hg+i3P3U8fTM5 +W04uTievzxcnn9wYD8WN8QAdyO/q+/jr7GQ+BatgconmCYYe4xFM+ct5PII8wvO+Mb8fl8d7HcBa +v48R/JuWh3UXNUmFouPSGD+PmRsyxl8qjPDG2KNfoVy8F83+cN2dG/r1s1HxQnzaZrjTFP0NnviR +kxOj/a/+/uWnWfrTLH2/WlmbgAkxPWXzz2abhjb5PQ/m9zqC/acp+l2naBM/CcBHmosffztZ8P5H +z37+87GDN377c/Az2cn86XLx6tP0+0Cm3/fticp4NQymTTMUbxYNzY8IfoRQ5Qc5vbDW+fiB2+zN +P1rMZqODk4vlOfrNV/z48PBkNvor7iQvFryPvO7Fx0K4K4llbrE9r1LdpFhMFbnorXE99iM55JPq +ML2hnOZyg/oMlcPLcztsQ312QzlL5TBZF6ajLdsmF0um0di8q501/QOuGG91wEtv2gO97Y01kgFb +IxmxVZIBWyMZsR9v2OdPn+29nLyFX56/pX58/ucX82/Wuv3PEzqIcTF9A7//DYMIOJIAZX+DAFxZ +/GbCUIT49Tk1zknEysvJcvJMtrA+H5+Ul/ee7X/xRfIHUMFLrPvRf4Of//7HL/7x5odf9tL0u//u +/9f+dILgf/v//z9gC9XzUTwZN770/m7m07+ADXEyfzF7H0cIf42hSvdh9Vydlma1yV+2crO3J2cX +s/mTv80WP/wyu9w8F6yX73hwb7t8u2brFibeMnH7vb5BEqB2PwVMi2/nk5/5V9JBf/76xT++gUr+ +MBq+ch1bP+8P2wIJjyWb2y0m6l93l23vL/epvx5Uf+GlhGi60+10uKWQMI+Dxqs+t/Zh/M314cNY +UH2K+bpnawJoPZudLXBz4EPYE3Qh2ujw1SuQwHV74uh8cfoEH/6w3Lywguc3NSEeH8IoeHsxu2ok +lVN5RNUgjHJPAiZpcRU69G8nLzk6bID+2+zk9ZvloIZvZvNatgdb0VxQNq++ee+Wzp2H8AfNDAG6 +k9Rt4jwR7zcy6/4k+9vF5OziFQnoqpV8cvbLbH42WpYSJ7PFFmv529UiNxL1qtDqFyTvycVA+E7P +f5z92/Ony3X0rx1KA+Ls8nT//O3J7EKCjQmEufXp+cnZcqBD4Ysvz09lRdpFIS8ny9nzg9nrxWx2 +sekRSvtECNxt0ZnTyRxoPJpMl+d0psKrlUdPZ4vpbIUGenR8cjbbWN1ft1f3143VLWav5qCevt8E +/v1WFs/Ty7MfKCh0PD+frDuT/vflxeT0dHb2y8nsDSyScKW1d/nqxXxysUU8Nrww6V642WHlZHfx +isfqLHn+qrLnBg27f+ffrsErFmHYG4+egY8bnvdJH3zSB5/0wS30wSdhL8IerpB2vBM0mu0ir7cK +fHcS8cYSr7fK+2pt70/g38M8EQIJ16cJ4rczZuxVM8SuN22R9Wma+FVPE+9hz/i3pAs+XuqiKvT3 +mbqIG/W/T17/Mnm9Lr4n0x9+mUw3H4DrHt5Uk20491rR1XOvVXwnp1B+OYAWs/leRXVTPCcvX89u +elb+NxMa8S/lBC0BitF/Csr6FwjKejB7CB8xR0pdIpTjwhXYliOlFig5UmKdOkqKFNr2ui5LyvtQ +chfT+aKneXqxmH6M6BZugPkIKuzfQbGcQT+8/M9OhT07OX07rypsNUnq9ZmKN7nYmfNPQfUtO2oo +9/Xh2cuW+fra9NlPwZAGiSUinr7Y4bTcevT4359OLi5mi1OQqdnZf2JnfH+xs4Y+nXZtefy32cl/ +dRjKEo6LnyYo263obsIHST0abXoY8GHY8tDhQ7flocGHZu2hFhP18Tfny9FXf8K199/xv+XdXTqh +HNnp+Rj+fjTikvDPv/8JJyMp5yVo6gfcIi6FPNbmW2UUVmqkmPGlmMG6jNS1WxJvQ5E/L/7P2Wj/ +T2lA1G4YqQFNj0ZSLqiOJrp3cUCTlHI9UbtmpFZokmJGNaJaRNgPnAsNniOrvmr1EJ9srKWQLCkJ +4Fd/snG3EFaZUCmTgl4RMwpldAFDK2hajQZr1Ga3Z7+w7GtYu76eFd73PWlXuvLRqJZF4obdaVb6 +sxalvuq6VK/1aS2KBPYdiwVzac1fT85xbJVW58JHpjIMGdkKE6Vf/Sk0btL33YCdrTgxCh5KWSF2 +yNNWmgiGJlbGkixK0b1fLhcvmP1pIImNzK5IUL0UNtK6Im4ggo2eroipfK4jYjZ/0cb1cBAMH/WC +P3wyEPbyiE80opL6fVMRRVVtOgCzWpbrKAqPT9XIw99jfOl/jTBMDtOYXFnr5lcqgV9evn1Vpr+t +dZRC9S06V/jinOIHrnyzL7ipQcOT3VdWNSxaSfkWLKkTDrp9dn52NjuDxdxs8XpSjrtsre+qF6H2 +x1/NXp4AAINvNvpyAuXmZzc5QLP5Pazw6c+LyenJy9nNqulK48u3S8E6KI6vH0BDL0GLzJ+AAT87 +eXVDIja9htWVITUbfQNT/M1IWnsHK7rFyaRWllUFbyBK+ICm9L6jx3+ZXc4uRkeTxQ== + + + i1ez+Us8F65G/9zZAFMdim93UVbj5cKKMgWv1WE212GojqfjavQU2+Y2l4Ucn1wsB3bcpiO7wytE +VsJ3BrHBG9M5DYRhmHl05XASZlj6r5V7B9bSfKwl1VuzA6lRd7lJRSt+xLcxYzX/j9C7ADOdb8Q5 +mpNXE+/Ymv8fWARxM74sl9h9uZhd/gIlF5NXry7xsrKvoPjl8sXk8hSbMnl7MlvMJ8RA5DUxC/9x +Pp9fLC/fzC/o08wYrAOK44KAr6tBmAYBeVGJ9Zy06XDx2epd0kz93S6o4vXenxfnl2+/OHt1fu11 +OiUG8KvLCygg0ZPo/13+cnr+8hILjE/mL1fDKq/82Mb7vMqHutre8TMbLvwrH3n2dvYLzFUbvzN8 +drNPgeQsgIn0EKqgX+vfV765NbZSnm+IXR2Se1Vw69XsIVk6uThtXOkQ/vc1xMNa7Xxx2trN6L/h +nZlzWIeuUFpxkuu/ApELRHjIXSOcICq4sL2oH9k7ez1HNYEzyOqHBs+2VY2VvjrhOzQvTzAwr3iZ +ZXPj9exitvxlCZ1LW2rrL1wxAkUVH5xPL6Gm5cFkOcGL68vvoz/Qb50bAH///qvjv+BpG/zl8f94 +KWW7cMN/ns7PoMAT/A86GHGF/+j55uc/TuaXUiCLE6N/vPz5rTz9fA/MiU0UnM6WEz7V864E6LsR +8ONkcTJ5MZ89m+HW4Mcn4qPT8CG58MdWZvoGNC9tBv9+g9h2BUHdLk5eXC55dwMf/X69LX+A0fV2 +PsMh8YE79sZNGlKM71xP5uP/9+zi+RQmyfPTP24p3NFsPmw3lDasdwc9+MOPN2seyOHFQ23cH34c +/L5dHO8oBdB2ENe/EEOu49ULmCXguX54rOpbsS4Mc7xP9eX17Ts7P9vGhY/YtkL9+5SCW+iChzxY +bsikYdsvXv300WbAi/nJ9Dcx/VFDnp1fLqazMW7kPsg2DUn++VoSbUi7Ga9wka26ByLqP2+c8K5t +jU5x13SBSQ+kNf/c1Jqf+EDQNS0yxu/66B9ai34qp5lWW/VGTjRd11FK7Xqt4wNr1pt6Hmu1XS/O +l2AeHs9eLb9enNCK+boWlr3uB9K09QY8kMkW5qZf+Vx7fxPOPRHfOSAQCd5bL/zb+yKPJovli/PJ +4uVoej4/X4z0aFFsr2tLYkDu2Q3Lvqid540zaXtR0wi4tmRHwLVlX6zNs+vFhtKFzykM+u0EWD/9 +GT538nJUrgl49LxG+mDBt5O3swU8PL2cT7BvZEJtUfVY6OvL5dvL5eibCbpgT36hgqNvZhSJWN/R +fvDOV7OLN9e8sSoPpSOgTdKkWNr08u3J7gr1k/nJxQp0Orn4oVgEhZa3k5fNJt/7YrR3uTyvdDVF +XnmnFR4+x20D4MuCyj35cYaBwaMXk/nkbLrOxcEr53K/y3L2z+XNSl5Q1NnFisZdKTydn7yFzkbP +xT9B0l4D21Zbv/LG28XsYrb4cTY6/3G2eIveQXnBdXJyxMVRaf2vS+Do8ufR8ezH2bxw7PMuMmil +w1YDhwa059HZefsw7tcg7ecXJ8sVVfjsr38+Oj9bPrt8cTFbLuUUc5N1eXx8Pu2ks3t4ePpi9pJ7 +Uzq+PXu6mE1PLupb3RcPz6bnL+u3XHtAWzzfVo1cGwSPyDeLC1cYVtMNz7+dQd9MlhuePH39aqWn +APx+8na95DMwzitZf1xncAtLGjp2H+HOzGx5+bbbfDme/Dxb1CCkstmIScRB3/DBRI/o8Yudx4cv +QGJw4/D4jOeh5YZ58bsvDjA/A5V9DmX/yBL3HErDo88Kgc931GgPY6t+2kEtsrfYkesLbrEdec2d +ypyQwmJCCpD4YTgX2M4YFGJD3lVJ69FphRxABnN0He84bXaDUmEjVl89Xq/teOcFRp1w4jvj6b5V +w3ewqhAoYw0GTEDTQ4A2JjtyxuxaZSMQ0jBlgQ/KjuY7z3asF/K6ggXqyzEXb7Mx3DioiWFElw+7 +JuuRs3k3u2SILL+bfWrQcYOApuAjQUgT9GGPjTHmRWeOsMoh4T+wu/4xKlyArzm8ws8CI71KCbsj ++93kgwPM7UYVtHBBSjqbdr11pi/prN+NJvthya5O46AkzqNOxd2odaaSenSwsV4sHTSsRrApBjgq +/D24pmt1zrseuDRy2kNHOod1QRd5b4AtWkOvhFC/3D2ppbsautK1O3NQ9JcGKSBOcpdlaFPULA7B +WmywzWk3OJjknMrAI5Taiuiwq1MCoa3vQTOhnBlN6WM3kF7kUHQOxMRAeaWJx0oD7Si9GqTSKO6N +VlLBP2y0W0syf9fFZZ3MbT1E/bml9Hrv0/fudczYBOM3q9SNmQp1YwZ6ySabBmOmYeOrujvy51bf +Yo1gooehoKDZFnsXEWACIHrXZVBhhCjqCoX3ZKbRPr2nDSguFA8XgA+IKB1RYALUDr2BzUvZIOJ2 +rQbe7lOTY6BS0AE49BAJxmBNmH/LWkKcD8iXtKtwdc/vAdmWBicIPhWyLkbiVPR6tMbMfWDJunLp +m2xA7JXpm2wcNBCmstZk45kJXZOdAf0QhTHUZGcy1A7zT22ys5o1S9dkZ+1uUjG0JqP+SQkbUZrs +bITu86lvMmqYYIgqaTNqVJNHazoXm3y587vLnVQmSBa6H1YDlUkFKpB3mKj0bo4wvFktEg3BwDMQ +exhSMEg8Ixo4T0jWrkOm8BqQDJLWFQJ6VXJcN4ylEaonFWG+QcRDt9NrGQTOMgXEa0QCCoALeAlF +TENEaxflPcY8psaMXLlBbe5BFHOi7xsfLAHGWv5ajykY+MeEJR35RaUM06k9MNJBzzqUKkSsQ4WB +vagAYQp8CqBsPWiTKO2LwWIphymw+D1yHCISQi40ZB0axCREvF0dsRRTZuaByFLlXkdNCFgSmkhw +yE5pjjaOCQ0W34sgXJ5JTy5r7ivU2wgkUAz4GowNnKsqdtxjHVlFOjZhRWLmO69IdXY1YMeDoJ6S +UChtO4wbqywKWMGosQkFDPsypB4JqM6ClsZWLEcTqbE544AFWmzW0tjUfue2ep30sAz0i7wFSmvU +KEdEQc37G1qD7fzddzisFE2/oBbBtGvU8MSkQkcgSBjOSCzwlAVtgIA5iCQOMBooVFE0lgaTAVEk +xLnQIVP6XDJqUAqGbDB9RQ2oX2uQkFSrqWTDx2zP6f0N7UV+IOk56Nwk5LTHQPizQ6sW384WzaSN +WJWu9foa10E5wNAzoimY3wXpa4V+SzFvxeh+m+Phu+sYzl0+DjE0EqF3EUkJ5QcQMHYQgdnBpA5B +NoNSyDoPSyUXpBToGwRywn4HwGnuUpQ60SAhaUMU1PcAQ1WHCBhAiRD6ByKgwjpkypQbp/tSMAGj +UYAI6GFuizY5N401JcMyBaHToDGHSPQ+9zyoCHDKW3lNoI6hBrpYm61Y7aDu3TWsCNzxmgh0wqGp +EDMpYTqsU8KiFjZFi+NDq6LYK0tg+oF5e8g40Io25L4UaH3p8WBj7AA0IkKWrmOI1TvWInOkTFr4 +LZhGcz+NIUXGDEoh1Tyt5aj5d2IJIgnneX4rRsv8UpkUOGLe8YswJ2RubJIxZ92AgIIg2Tit6EEp +MoF5HrUkuAUAKwrKC4sYwpGVUERg+RNYlC1Y9PwtnXVDmGxS760UEm2hlTQEcOAjAtYRv+fByN/f +0Ld9vxu0uEkFOlpG4JoArRZBjjsEZxcfY8HwkvcVzDhmDlkkCMAMyqzB5QQCMSXpCjB5qU0Oaie7 +R2YqRNA07XoUxC/GNOx3MSi7UmAN2sAkBRzLHYICGUnKGtaUJtQVmK2bMOgpk4YQ9FUO+ElUTYrb +gzJApNtYf58SU5IeFIFFgwks5ykaZpO2IvkWrFR5jUw/NLM0dWvtBJj9A46phlTDpMO6lkgPb4C4 +i3tpADvKZ65TB5ojEEoiYaDSkRTgrxK7zaJ+MLAK9dHFhgApBjRMSLovBXMoLCtZVi1QYmA1oVgP +s6zia7ie8ax0s1JELryYcJ1FegjdVFS56JeAwwAIaFooyGBBs9T1pTQwygiZweGoawguXRy/VzGo +ALV9YwHKGqxK8HO2mNPwO5MNlnnqihi00DtZqUCEcR2jvFQgp4UfXishJ+BYwFV0StIhnhY0a51U +DEjkihjU0ATPxgRiOXJrXHDcDda6bpga9Cr4buAiEzIT0A1m4IaTirwtbBG1Rl/b30DBitFnXFMl +pJSRQpglCYI1n0s0dRkcV5lnR5eJDzjcSQpBYUJnjHjLOgeeU73IHPSr0h3GdUWlVt5MPCKgdrDx +CcksPkBDZPExYAnn4YxqYOiZ4cSL90+FzNSDgR3liymyhkGHC9GuSHwt+gZGyIXIasIAlzx9zUEf +UD3Q4S5iIdCVmWwuGBEJrUqDDivPrxkrLQZtoh1VrTzP8a0Y6BWcQRBJ6K4EwESc2eBrOqB7FRAP +3xUKwD5lKqN1uScTiqvESI5Oll6wuGKWK51CZxIhAisGRkIeAsn68laFspK3TGYkg5rtPyYrJm4u +ueUGXbAqU50+gx4Dw5IHVEb5OR1iJrHAWQ1rYO+3YvTufEN9x+1bFkZxor4QzXVKmHZKuINqzViQ +OeN709N6TDvkBhaURUmxoS8FOjCKaMMI0z2S0C1ErxUIV/4OOwMrco5nc6OIAC+9WhB8DyZFH2Jf +CvjgZYpQCrsDz2oqy94IlKYptQ6M2UiQyuQ+w6qyyrFYmPi7JU9OwDtScSZDAmJwDcGaoA9tGpQy +ovOhKYaaW4BulmyYLFKxvZk7CFRIMMxemGU7hNtrtXd9qUI2zk1gmjAHsuMy5J3Y39DFnaihd8mn +2FlSFuZJE3xnSVWks5oQc8mtYqloGta+DjdonGumFADWaTswpQALBh0x1ZRy5MjtHD9gKoP2760r +fA+n4eD6UqA6snKdLdWQZks1rJkWDudvE7dg1ZZqUJkfgbCsxB9FhhLSnov5zcYUNjr0ZZBRMbvO +mEJ2ZuOGYpJ51dGsqdYRxZpqSLOmGtbaUrt5E7ZmTzm0XJ1QY8n53kMZO9IVnxf0NRoBCFjlmz6b +kgfd81zb9B764I2M/+x46kGMFzEDLGURuhAcSgXOqqq3nV0UE7SXioizjB2W4mGDCPQ7AuxaRYFL +Rt5ypRs1TGBEAQ4lK2Kf0a2C38tlsaU0162C8Q3ButCLIFIopWpbxJdF+xvBsXsuhxyFW9GJYQUz +p5TieRKsL5oCe8TjBoS8Z/WKPLvmkuyxvlf7DsfFqzK9AY2QFQcIG9Aug3USbWcae0pGGwYGtNfo +1PB9KY0mmOkMaLAE2BXXDGiAbPR+YEADVn2TbEBj5U6GLhvHQILP1g5MaCQ9+A7DbspRCGUTuiHN +hG5YMaErE4p9DJ8DPet6GxrNGqNNV8ZgZ7lOSTSkWdE9xmY0IkHrzoxGxIq/oZjRq11VzWjgDe2U +9WY0Yi75zoxGDibX29HYJPZVNzsautppGXyiyeGzWWpiOxoRI6JYDOk1GlYMabSJbA== + + + 7H15FelUBBq4RgbjJqy4lPp317Hmy2tY8WOhi4t9ZMVLh494wDRfHprepgg8l8JNUN358vArxols +s/pFKKShL6+9V3x5OKqSs52pRB5/1SFTptzn3peHFWTZWWDDFf7hirQXXx78EzRP78sDRGVtex5U +pPryGtQx1LYl1SasdlD37hrW+fJWRKBTQqgKo+vcz6eEwZDondTojUJDsjmye6R4u3uMXeJYE+26 +Va85GcOhQ/A9UI24kupKgcrWpvfS90j9XocJVbWmjnIYQW7gXl9rM7nXUblr02nv0x7r+Jt2XdqI +NK2/VlfHcbS3bRiofYS8+LRZ7aNtm0zvN0F7wZdRIGo/gFElZqcUsrxN2rR+QCPX217rB1yi6aHb +BIrFIOOAtT7WHUKnzoEASzsnndKnXUPV+02ALbEMAlb6DWlKv2FF6VcWFIVOy4vc63xsiou2KwKL +Zl72Fp3fkKbze4x1PiIpmk7nIxL8UOev9lPV+UAHSOrQdYIYiVTV+YCY3idCW7VmqPEDLhuHpVTZ +Rygan5ZncaDw1whA0pSQFshWKiMJSTOsR+tC75g+TGI5wHDeox6Qd4831NfLsUdvkbitPGuOhoH1 +ptF/gUgSh5H3NjLibTemkBEY2aOHug2x4MWVDNaeQCnZFSh6cRsbEtMoM0E1RQNY8m7oEcYzJujN +aYUiylRiOnkV0xDZ3YX3GtbGesB9VK23YLCKsexcaliVVnSTaW6hRb8WEp9NNg1BWjGewpi+VChu ++7KSCeipVrlamcxSca+VhQwiwTFCm8Id0hYyDeuaU7t1Eybd34lGxJHq2etYXCk9VtwmUWNAyjZI +nCbrtXVfSrDiZ49zc6TEzHNGc6QAYthkLjN6BD4Z8VeVeT8GDl3oSkFzo+wrsiOlIdWRUqHqSMGK +HK4zqosEPsexYp0jBYhyvvejQFuUV6nzoyTFYYSdHwULyY5ycaNARW1qx990Rg5W9wh+PIY4cKIA +icmmQSnQ10kmRXKiVKBbHTesOFGgoljmKfKO4NeMGfUuFCRJ+97RIiRXBwq2KhdvuzhQ1rq273aP +kwOvd0g2ToeY1AoIr9HQ/EHmIJJCFw+CHMUtpDhcuQNmjTiMraOYMMQAyquYYic80IhyaxLoZhM7 +wTLJtB2jImoJPe2q9+wlTMKvZAWnkLMNEWc0vydY5EuasXadHC+f2DuBdDrNHgzl5b0O06E2p0AU +c4GINoodpqSNsTGKdwxB9WRhl2E3cMUQUSqlZqwimcGKkaSUzUK6045rh6mWaQCx9k7cF8g1ql3Z +XjEDDbzb3qlvoDRp22/7tc6XL3YIx0rtb5CaOqUjM4LlWdYmNsrgw0ZFrgC6O/YNjbj6HCAUqCn8 +Echz5B4izsheFlgahhBYToaGTOlztEjpSoFwhRIJgNFaRKbOvD+hQW5K13rZjwBDj/tRGoOLIpuG +CFkO+xuavLJqTBgwJ/vHZMidEpbZIQ1DLKKqw9BAK65m0ISZkKy9bwjSWKLTWilc44vDIqBu6JCA +EazlvYqByCQqFQI5uwPvs9H3vPSzcrw/gXTyDlBk2w8RXwYOkNcDMn3xa4LVARCLJq+ChiuM6Ibi +SFEIA3HMHI/ZIgsSmhVizcQk72VxuHeRBYAZK+U4tABqp6jgbsABDd774bAEQyPZ2JeieDp+TwUS +xIoAFyNr9B4jL2tXE25hSWe5GNhtEzGCl2mXFharOqF/1XJnYfDsAKjSWjEai1RIlz120YRgi+R+ +P4OptGVjWkoFiR2uS/KEuweix0kX728Q4m4OyQptQDcQ8KzLnFMEHJCYYi/gGEXLX24CDlgOLvWl +bLclQALekCbgPcYCnnHXKvtOwLMpGxBNwLOWqNQq4NAa8XaKgDegCXjDioBnXQ5PFNGFz0VrhwKe +aTOwF3BAovO9gGfX5ooi4Bmjb9VQwAHzWfcCjrWr0Ikz0aC1Gwh4xvVT7ocB0J5oe6IKeEOagPcY +C3irqQg4IMkaPxDw1sIi4NBCCp+uAt4DRcAbJgKeMbDF9AKOAuRyJ8xMZQihF3BANG3QVAHPGFQu +m39FwNeEuBdw9KRJq8TRgJCT4uxoAAQs286bbDJt2nReBSRPVqNdqVTUbvE0YNiulnEhngaMN07R +jnpPA8b7OmkpexqyCGhzIuDBAOU758OUSY+xd0hgdGyKXds7pLkaGlZcDZUJxY8An4OmxN7XgI2x +fRES6j5GoyHN1dBjIjMZg8eEInI1ILLiaVjtqGqWYLS0EyVbPA2ZmiGh1+RpyEJS8yJgg3ijvfka +MmkY25cCqdVSE/saKA7XDp0NazQM7QSL8ZHFz0sOqtMeQ4MFxAURw5yxuC2aAcGNEaLHssE03UGM +2ABGIK5PLR67UYbjGqA+RHCk0iJaEHwLNzaIx7UUes/IVYXGqsuEqKC47iSvSfwxBTagv/eYMNkT +w8irxB/kUwkYIYHRm0RCkDKEYF22GLK1FEhpUvweGuod4KWp5VcaLccM+RRWIFa83nNULX4JFhOy +Wsl6QI8g3DbvyiKeS+GWjVSO29IdgDtuwv+KwSBVltgWo+8mA/y+UsP4OsSy1aEv5YrJizvWeNJE +4eJKtD5v2RGU+y07bnA0dhC0QdKUhs4h26Jyxe/TyZxsHHYIrr7pPMmasJahRswPmTdRsuKDOg2T +lVTXRXKkgRAt6y/2vCBkrcT+QfsSMY2jfECr4OEsBMQXJAiLsbESjSqldNnJTexE6xCY951Jpa9L +fKhVmWVWawkqphAU+p6XEw6EcK/VQGMphStcJ+4OHBrUjxT0TztBuXQbHdghmyW5UccmssmGQHaB +Ttas8XdVjWD0i218PB1CeLYJf7cSvONojIFBlHMnLFN6Kbtgh8ISS3RA3ekGdYfnVt0qZoIYNbT7 +jQjwfSD/mQ8qDuQfgxzjSqmQyrpBOQJisaB497tBbfeb3gtmIMQZY327vW5EZMnVDaW0GyWcVgrV +psjmNyLaWvGihVxe07TRUza/CSF7sGx+DxDZ/O6w6jLpemeI9Z3a+txi9GtSAw/OACMPDiJesSCT +A4cAHwcOHKtRJaaBA4cwpQYOHMR8KIZNw0DN22ZTWTw6nPuwdZhuQL0N7TWLkdNB276UauYPOXA6 +pDpwOkwcOFg7vMKDnBw4RKc2AwfOAGMHzgAiBw4iNuvOgYONkTmuGtL4wZh7Bw4iJuZuBxLJzMoz +Ig4cxEKSVac4cPBNbTr/DVUeXT8UNAYp+sF5MuxFPqxWC9Wel+91SHHfrItMVd7IinLGStw39N2Y +OvdN10xx33RIcd90kLhvEIHhwgg5ZrBqnYrTg903iKXkY18KesP27htLMe6KtamsF4h01kPivuka +I+6bASLum/Umr+hTHVrMu+zrIsYHUAoG6yKgOsW2gzpAZJ91gJFnnWpyOrR9IUS89h0ype8l8hG0 +UqgkVO5r6pD6vQ4TqmpNlfLQHIWyr7veZuQJorB86o4FnvZYmyX0WhBvgzrFslpbr9NwIPpuyX3a +Y7IjhojPlqcx2hEjJOhBFJfVOITTCjkZNxnFPKPtL4KyBAU0SEK+i2mEIeixN88wJL4c9yljErA8 +OCRhjS2uGdkS65C6JdZhjUnGlLMnm7C6JdZhsoRBKpqzCze7kPhMCRTalhg1SKsOw0YndpLIlhgi +oazyxTADyGfXxfYREuXIJG2JdUjdEuuwTg5qv27C1rbELIaIe8eWm2yJDTDZ/7IY3F2CeTZhsim2 +Xl//rSxLvRLwA1Mn/EMCcg2/XxFDuhgga3Yjh+hugMp7VonArSN9ZxcKNmGrMSiw0MbVRu+oIMjI +agX9FAjkQfgD6NbdrMsBJ9HeGJxMESGtFDrNxOBHNwUCHGRc3RQIiW1a3RSIGRM7NwXVbeVkCTkg +kIKYZJkrbgoi3GfTl7LtIBa5KTqkuik6TNwUlQXigsCvhRjasREmvJ5+oiKxnCYs46kh1UsxwMhL +QQgvX8VLQYhliRMvxVov1dkX46Gt6rwGp4w503kpiH0xdl4KbJAv5rt4KfAjQSvXl3K4n9l5KQjR +5dg1eynWaViZDi26CF13ds1ilDSd/iwR1w3phLa+twlbDeGF+ZjTdXSCjMHLWuVOkp0tR7KLjDrH +Rk8vyc41q0NK+TokWJId+qhj73CzFNNrh5LssALTSzLGpJazmiyjzrLW7CUZKXdO96U0myhNkhvS +JLlhRZIrD4qcOlvUShVljFruCvgy2osgN6QJco+xICNicy/IjrTEQJBXe6kKssPzKX7gbiOsZjog +QaYoX9MLsrOy2usE2RmJnGmlcN8g9IKMiFJDQV6jYUWQXcl/0XYtLMVaO1k3RfpWlGPmZT/CuiRZ +OdquheXw0r5QZq9X3bTokLppMcBo0wIRxR5c2bSgzznxLsmmBZGZFAsLbVpYh/uJWY7IYIaRBtRN +iw4rqxqoiDVxNVXgczGEMDBokExVvLpcKheXo2xaWK/K8K6bFlgqyZk32bNAqMab45YFAsbKionX +UEiBk7QKZaUFmObgiFoqFl+dbFl0SN2yGGC0ZdHVJFsWiKQSsSZbFl37yniA9pkgHUM5bnqgLEEa +xlsWWI83vjtlhF8zyXSLYqYy5NwvlDFSv0RC0ZYF9l2dIWXLYl2COwWKJ9qiJNDwXnO6HFPsC8GO +CaP0LNWYRCQpcV1nXH0DQCl8cMHs2cOGhFo1tPqRiLKqrZgtu4aY4MNFKUci008E2Mw8DJWiz4YS +IwA2j2DSqsChQgOse1fDmsbnzVidpuqb60jhUM/RhFtbrZM4GY9Tuu9eXHuWRS96yTtArNDpTocV +2cWKBgOMjuPn4boi4HHbPh7PcmyrjDBa7DdEFrP4XsXwSCROAeRLiwO6kySLKsj+eoOrdqfpyHU6 +EVmBw14OzrMKRHL52Fag2NoOANq8K01iKPE6ChFVJMviUpm+lmTxRMiUGB+9ZBKQUpEXuGWR0gH1 +/H+HyZi1pC7FpGSy8XO+7Ksjsr+hwStTCcgPjdLajNMhhotUBOSMFO3lCeLzIH7TYtxx2Vwqowgx +Oasm+fYQqovhDqtHt6JDl3pwMvyaxKA/MAx9SBj4STtKrRSyV9StMtQtFREfEL5XMTwmjJ5RjHjk +LbkiV8Hzme1O2yFROg4KYeyXbFtSpgRqHm9EwfuJlStiJYSQsOMeM+xeP+4ZvwmTDqqy3GoInD7j +dIhR2iRCkmG948HgRyBqz5IkaY0QS0kM1Mjcd+UoLfsxgRu65ptQrAyAZ+Sz7kqFstNZBk5oW5/k +6pROi+J1p3wXiJiy4UMpMfBzYhXVxBlIlJe0HFLIYq41CYFN6AHAtpkQBgofMSUhjDxtNibJ8n6A +0ES6v4G9MnK+K/duh9Hjz0bf/22YFfN2uem+GeSn+5+jmqOO8mDy8TzKnIA7fnI6zEjXCHTcQZhx +Mrpyro9eFGhOeeo4HV30nPIKE81RzjOUm8S5VAp0XCGLIXBy+sSi+KYOuzrbYUu4lw== + + + cecIx1tLnYhJ7XgLo0+d2KG1ZPd2n2SxpROlHIejf/cjQ38oeahTeAIGdW/JWch5BbNHRvV5DJnn +kaqgV2szHTCW1EvHoAI1Bjk6T+4Jqqwt2M0SUXYZNinXItldHd2bMzVuKznASp5FhSeU8MtgRvOl +tF/ucMrVjckhKb0gbd72FW1Lvjl8u7R5W2LPYXrJGyQLFawm4tyQonIzvduo6FKWClbZdPtBfHWy +z41DOEhWPsz1SamLKoI+dUxouDaApzSAr0/1uTIM6ABsDL2MNMYOWHVlM2Rk4EjkyQjTjICSFs7n +qGLDqEehZKDNAWp2KAUVKRmGsFxNmLhZQnVLDIzZEzFdTcZAdYcn19EPdkqZRxI56IucHHflKJsA +kHGMA6agNtHmle3fZknIqX/bJgxVp8y4z3aO292plIkZr+V79HTyevbtYnIyny12Xl9MfpyNJmdn +58vJcvYWnmBa+Ivl+WI2unhz/hMi8Eop/ujR4ddHO/8X0BbYBg== + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Hipparcos-testing-estec.jpg b/Astroschool_lect_2022/01-telescopes/pic/Hipparcos-testing-estec.jpg new file mode 100644 index 0000000..9816a45 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Hipparcos-testing-estec.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Hubble_Probes_the_Early_Universe.jpg b/Astroschool_lect_2022/01-telescopes/pic/Hubble_Probes_the_Early_Universe.jpg new file mode 100644 index 0000000..815610f Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Hubble_Probes_the_Early_Universe.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Huygens_Refracted_Waves.png b/Astroschool_lect_2022/01-telescopes/pic/Huygens_Refracted_Waves.png new file mode 100644 index 0000000..933204c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Huygens_Refracted_Waves.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Huygens_broths_scope.jpg b/Astroschool_lect_2022/01-telescopes/pic/Huygens_broths_scope.jpg new file mode 100644 index 0000000..ca2bd9e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Huygens_broths_scope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Interferometer.png b/Astroschool_lect_2022/01-telescopes/pic/Interferometer.png new file mode 100644 index 0000000..a0f4cb3 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Interferometer.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/JWST0.png b/Astroschool_lect_2022/01-telescopes/pic/JWST0.png new file mode 100644 index 0000000..a01bf55 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/JWST0.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/JWST1.png b/Astroschool_lect_2022/01-telescopes/pic/JWST1.png new file mode 100644 index 0000000..728c797 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/JWST1.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/JWST2.jpg b/Astroschool_lect_2022/01-telescopes/pic/JWST2.jpg new file mode 100644 index 0000000..2fbb7e6 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/JWST2.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Kepler_Space_Telescope.png b/Astroschool_lect_2022/01-telescopes/pic/Kepler_Space_Telescope.png new file mode 100644 index 0000000..97d20d8 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Kepler_Space_Telescope.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.pdf b/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.pdf new file mode 100644 index 0000000..6bdb2b4 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.svg b/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.svg new file mode 100644 index 0000000..cd5b5a0 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Keplerspacecraft-FocalPlane-cutout.svg @@ -0,0 +1,16 @@ + + + + + + + image/svg+xml + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.pdf b/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.pdf new file mode 100644 index 0000000..00dd456 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.svg b/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.svg new file mode 100644 index 0000000..569ebce --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Least_action_principle.svg @@ -0,0 +1,113 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.pdf b/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.pdf new file mode 100644 index 0000000..c3df50a Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.svg b/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.svg new file mode 100644 index 0000000..16d25e6 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Lens-coma.svg @@ -0,0 +1,47 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens1.pdf b/Astroschool_lect_2022/01-telescopes/pic/Lens1.pdf new file mode 100644 index 0000000..cd1c293 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lens1.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens1.svg b/Astroschool_lect_2022/01-telescopes/pic/Lens1.svg new file mode 100644 index 0000000..7ffa03b --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Lens1.svg @@ -0,0 +1,125 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens3.pdf b/Astroschool_lect_2022/01-telescopes/pic/Lens3.pdf new file mode 100644 index 0000000..65f257b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lens3.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens3.svg b/Astroschool_lect_2022/01-telescopes/pic/Lens3.svg new file mode 100644 index 0000000..99905fc --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Lens3.svg @@ -0,0 +1,124 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.pdf b/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.pdf new file mode 100644 index 0000000..f1cb337 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.svg b/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.svg new file mode 100644 index 0000000..6001417 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Lens_shapes.svg @@ -0,0 +1,411 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + H + r + 1 + (+) + r + 2 + (-) + r + 2 + (-) + r + 2 + (+) + r + 2 + (+) + r + 2 + (+) + r + 2 + (+) + r + 2 + (+) + r + 1 + (+) + r + 1 + (+) + r + 2 + (Б┬·) + r + 1 + (Б┬·) + r + 1 + (-) + r + 1 + (-) + r + 1 + (-) + r + 1 + (+) + HБ─≥ + H + HБ─≥ + H + HБ─≥ + H + HБ─≥ + H + 1 + 2 + 4 + 3 + 5 + 6 + 8 + 7 + HБ─≥ + H + HБ─≥ + H + HБ─≥ + H + HБ─≥ + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lucky_Single_Exposure_Strehl_16Percent.png b/Astroschool_lect_2022/01-telescopes/pic/Lucky_Single_Exposure_Strehl_16Percent.png new file mode 100644 index 0000000..b966be7 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lucky_Single_Exposure_Strehl_16Percent.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lucky_best_1percent_averaging.png b/Astroschool_lect_2022/01-telescopes/pic/Lucky_best_1percent_averaging.png new file mode 100644 index 0000000..6a4048a Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lucky_best_1percent_averaging.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Lucky_sum_all.png b/Astroschool_lect_2022/01-telescopes/pic/Lucky_sum_all.png new file mode 100644 index 0000000..6dedc1a Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Lucky_sum_all.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.pdf b/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.pdf new file mode 100644 index 0000000..56eec6b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.svg b/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.svg new file mode 100644 index 0000000..da2ee2a --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Newtonian_telescope.svg @@ -0,0 +1,20 @@ + + +Newtonian telescope +Diagram of the lightpath through a Newtonian telescope. + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/NewtonsTelescopeReplica.jpg b/Astroschool_lect_2022/01-telescopes/pic/NewtonsTelescopeReplica.jpg new file mode 100644 index 0000000..ae839b4 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/NewtonsTelescopeReplica.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Nimrud_lens_British_Museum.jpg b/Astroschool_lect_2022/01-telescopes/pic/Nimrud_lens_British_Museum.jpg new file mode 100644 index 0000000..2f6cbfe Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Nimrud_lens_British_Museum.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Rainbow_formation.png b/Astroschool_lect_2022/01-telescopes/pic/Rainbow_formation.png new file mode 100644 index 0000000..550b7e6 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Rainbow_formation.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.pdf b/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.pdf new file mode 100644 index 0000000..be46c10 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.svg b/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.svg new file mode 100644 index 0000000..29c2689 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Refraction_-_Huygens-Fresnel_principle.svg @@ -0,0 +1,73 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.pdf b/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.pdf new file mode 100644 index 0000000..18bdab1 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.svg b/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.svg new file mode 100644 index 0000000..1f7d70f --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Refraction_on_an_aperture_-_Huygens-Fresnel_principle.svg @@ -0,0 +1,95 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Roddiergrab.jpg b/Astroschool_lect_2022/01-telescopes/pic/Roddiergrab.jpg new file mode 100644 index 0000000..3db6a62 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Roddiergrab.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/SHA_BTA.JPG b/Astroschool_lect_2022/01-telescopes/pic/SHA_BTA.JPG new file mode 100644 index 0000000..e0bb921 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/SHA_BTA.JPG differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.pdf b/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.pdf new file mode 100644 index 0000000..00f9c35 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.svg b/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.svg new file mode 100644 index 0000000..25f4645 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Small_angle_compare_error.svg @@ -0,0 +1,146 @@ + + + + +Produced by GNUPLOT 4.4 patchlevel 2 (Gentoo revision r1) +Authored by Charles A. Barr phancyphysicist@gmail.com + + + + + + + + + + + + + + + + + + + + + + + 0 + + + + + 0.05 + + + + + 0.1 + + + + + 0.15 + + + + + 0.2 + + + + + 0.25 + + + + + 0.3 + + + + + 0.35 + + + + + 0.4 + + + + + 0 + + + + + 0.2 + + + + + 0.4 + + + + + 0.6 + + + + + 0.8 + + + + + 1 + + + + + Relative Error + + + + Angle in Radians + + + + A Comparison of Approximation Errors + + + + + + + cos(x) Approx. Error + + + + + + + + + sin(x) Approx. Error + + + + + + + + + tan(x) Approx. Error + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Space_telescopes.jpg b/Astroschool_lect_2022/01-telescopes/pic/Space_telescopes.jpg new file mode 100644 index 0000000..187cc6a Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Space_telescopes.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.pdf b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.pdf new file mode 100644 index 0000000..248faf8 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.svg b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.svg new file mode 100644 index 0000000..e48425a --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_1.svg @@ -0,0 +1,97 @@ + + + + Abbildungsfehler am Hohlspiegel (Katakaustik) + + + + + + + + + + + + + + + + + + + image/svg+xml + + Abbildungsfehler am Hohlspiegel (Katakaustik) + 26.06.2013 + + + Synkizz + + + + + + Synkizz + + + http://www.chemgapedia.de/vsengine/vlu/vsc/de/ph/14/ep/einfuehrung/geooptik/reflexion2.vlu/Page/vsc/de/ph/14/ep/einfuehrung/geooptik/reflexionsgesetz_gekruemmt2.vscml.html + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.pdf b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.pdf new file mode 100644 index 0000000..a4d0132 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.svg b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.svg new file mode 100644 index 0000000..749cb6d --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/Spherical_aberration_2.svg @@ -0,0 +1,83 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/Telescope-mount-detail.png b/Astroschool_lect_2022/01-telescopes/pic/Telescope-mount-detail.png new file mode 100644 index 0000000..96682fc Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Telescope-mount-detail.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/VLT-active.jpg b/Astroschool_lect_2022/01-telescopes/pic/VLT-active.jpg new file mode 100644 index 0000000..ae78046 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/VLT-active.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/VLT_artif_star.jpg b/Astroschool_lect_2022/01-telescopes/pic/VLT_artif_star.jpg new file mode 100644 index 0000000..f4a4a69 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/VLT_artif_star.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/VLT_inter.jpg b/Astroschool_lect_2022/01-telescopes/pic/VLT_inter.jpg new file mode 100644 index 0000000..637dd52 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/VLT_inter.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/VLTdefmir.jpg b/Astroschool_lect_2022/01-telescopes/pic/VLTdefmir.jpg new file mode 100644 index 0000000..8b4d1c8 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/VLTdefmir.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/WIYN_HartmanScreen_10-91_b.jpg b/Astroschool_lect_2022/01-telescopes/pic/WIYN_HartmanScreen_10-91_b.jpg new file mode 100644 index 0000000..42c9e88 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/WIYN_HartmanScreen_10-91_b.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/WR_speckle_restored.jpg b/Astroschool_lect_2022/01-telescopes/pic/WR_speckle_restored.jpg new file mode 100644 index 0000000..253ba89 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/WR_speckle_restored.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Wave_Diffraction_4Lambda_Slit.png b/Astroschool_lect_2022/01-telescopes/pic/Wave_Diffraction_4Lambda_Slit.png new file mode 100644 index 0000000..181adb2 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Wave_Diffraction_4Lambda_Slit.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/Zernike_polynomials2.png b/Astroschool_lect_2022/01-telescopes/pic/Zernike_polynomials2.png new file mode 100644 index 0000000..214a4d4 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/Zernike_polynomials2.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/achromatic.pdf b/Astroschool_lect_2022/01-telescopes/pic/achromatic.pdf new file mode 100644 index 0000000..6c47249 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/achromatic.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/achromatic.svg b/Astroschool_lect_2022/01-telescopes/pic/achromatic.svg new file mode 100644 index 0000000..b33252b --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/achromatic.svg @@ -0,0 +1,57 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/archimed.png b/Astroschool_lect_2022/01-telescopes/pic/archimed.png new file mode 100644 index 0000000..eaed995 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/archimed.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/bta_N2_prefocal.jpg b/Astroschool_lect_2022/01-telescopes/pic/bta_N2_prefocal.jpg new file mode 100644 index 0000000..f195ab3 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/bta_N2_prefocal.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/bta_telescope.jpg b/Astroschool_lect_2022/01-telescopes/pic/bta_telescope.jpg new file mode 100644 index 0000000..f08bf60 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/bta_telescope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/btamir0.jpg b/Astroschool_lect_2022/01-telescopes/pic/btamir0.jpg new file mode 100644 index 0000000..f37f81e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/btamir0.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/cfht_adaptive_optics.png b/Astroschool_lect_2022/01-telescopes/pic/cfht_adaptive_optics.png new file mode 100644 index 0000000..0e82cf7 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/cfht_adaptive_optics.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/coma22.PNG b/Astroschool_lect_2022/01-telescopes/pic/coma22.PNG new file mode 100644 index 0000000..1c14731 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/coma22.PNG differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/conics-r.jpg b/Astroschool_lect_2022/01-telescopes/pic/conics-r.jpg new file mode 100644 index 0000000..5fa7761 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/conics-r.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/cross_cor.jpg b/Astroschool_lect_2022/01-telescopes/pic/cross_cor.jpg new file mode 100644 index 0000000..c6d9ae7 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/cross_cor.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/diff_slit.png b/Astroschool_lect_2022/01-telescopes/pic/diff_slit.png new file mode 100644 index 0000000..19bdabb Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/diff_slit.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/distortion.jpg b/Astroschool_lect_2022/01-telescopes/pic/distortion.jpg new file mode 100644 index 0000000..0431027 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/distortion.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/early-herschel-40ft.jpg b/Astroschool_lect_2022/01-telescopes/pic/early-herschel-40ft.jpg new file mode 100644 index 0000000..f2eb3f0 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/early-herschel-40ft.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/eelt_seg.jpg b/Astroschool_lect_2022/01-telescopes/pic/eelt_seg.jpg new file mode 100644 index 0000000..27462d1 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/eelt_seg.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/ell_par_hyp.png b/Astroschool_lect_2022/01-telescopes/pic/ell_par_hyp.png new file mode 100644 index 0000000..2f8f012 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/ell_par_hyp.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/favaris01.jpg b/Astroschool_lect_2022/01-telescopes/pic/favaris01.jpg new file mode 100644 index 0000000..f35ff43 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/favaris01.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/fft-mtf.jpg b/Astroschool_lect_2022/01-telescopes/pic/fft-mtf.jpg new file mode 100644 index 0000000..9d8a5f7 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/fft-mtf.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/fraunh_tel.jpg b/Astroschool_lect_2022/01-telescopes/pic/fraunh_tel.jpg new file mode 100644 index 0000000..8d82b0c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/fraunh_tel.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/fresnel_zones.png b/Astroschool_lect_2022/01-telescopes/pic/fresnel_zones.png new file mode 100644 index 0000000..125833b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/fresnel_zones.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/galileo_rays.jpg b/Astroschool_lect_2022/01-telescopes/pic/galileo_rays.jpg new file mode 100644 index 0000000..45b70c3 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/galileo_rays.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/galileoscopes.jpg b/Astroschool_lect_2022/01-telescopes/pic/galileoscopes.jpg new file mode 100644 index 0000000..9f8a2cb Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/galileoscopes.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/geolens1.jpg b/Astroschool_lect_2022/01-telescopes/pic/geolens1.jpg new file mode 100644 index 0000000..b27f5ef Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/geolens1.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/gmt_Central.jpg b/Astroschool_lect_2022/01-telescopes/pic/gmt_Central.jpg new file mode 100644 index 0000000..9162038 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/gmt_Central.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/hartmann.jpg b/Astroschool_lect_2022/01-telescopes/pic/hartmann.jpg new file mode 100644 index 0000000..4e1e8bf Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/hartmann.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/hevelius_scope.jpg b/Astroschool_lect_2022/01-telescopes/pic/hevelius_scope.jpg new file mode 100644 index 0000000..01df63b Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/hevelius_scope.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/interference3.jpg b/Astroschool_lect_2022/01-telescopes/pic/interference3.jpg new file mode 100644 index 0000000..8aff912 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/interference3.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/interference3a.jpg b/Astroschool_lect_2022/01-telescopes/pic/interference3a.jpg new file mode 100644 index 0000000..3874b15 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/interference3a.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/interference4.jpg b/Astroschool_lect_2022/01-telescopes/pic/interference4.jpg new file mode 100644 index 0000000..1cfdb0e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/interference4.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/keck.jpg b/Astroschool_lect_2022/01-telescopes/pic/keck.jpg new file mode 100644 index 0000000..6f90f53 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/keck.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/keck_inter.jpg b/Astroschool_lect_2022/01-telescopes/pic/keck_inter.jpg new file mode 100644 index 0000000..6769d84 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/keck_inter.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/keck_segment.jpg b/Astroschool_lect_2022/01-telescopes/pic/keck_segment.jpg new file mode 100644 index 0000000..cace443 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/keck_segment.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/kepler.jpg b/Astroschool_lect_2022/01-telescopes/pic/kepler.jpg new file mode 100644 index 0000000..a72aff7 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/kepler.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/keplerian_ray.jpg b/Astroschool_lect_2022/01-telescopes/pic/keplerian_ray.jpg new file mode 100644 index 0000000..92faa7e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/keplerian_ray.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/mass_idea.jpg b/Astroschool_lect_2022/01-telescopes/pic/mass_idea.jpg new file mode 100644 index 0000000..0c50e0e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/mass_idea.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/matrix-spot.jpg b/Astroschool_lect_2022/01-telescopes/pic/matrix-spot.jpg new file mode 100644 index 0000000..b035954 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/matrix-spot.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/meridional-sagittal-planes.jpg b/Astroschool_lect_2022/01-telescopes/pic/meridional-sagittal-planes.jpg new file mode 100644 index 0000000..fa59ae1 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/meridional-sagittal-planes.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/mirr_BTA_h.png b/Astroschool_lect_2022/01-telescopes/pic/mirr_BTA_h.png new file mode 100644 index 0000000..214883e Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/mirr_BTA_h.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/mirr_Coma.PNG b/Astroschool_lect_2022/01-telescopes/pic/mirr_Coma.PNG new file mode 100644 index 0000000..c0bcde0 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/mirr_Coma.PNG differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/mlm_MonolithicLensletModule.jpg b/Astroschool_lect_2022/01-telescopes/pic/mlm_MonolithicLensletModule.jpg new file mode 100644 index 0000000..385c112 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/mlm_MonolithicLensletModule.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/olympic_torch_lighting.jpg b/Astroschool_lect_2022/01-telescopes/pic/olympic_torch_lighting.jpg new file mode 100644 index 0000000..a0f1609 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/olympic_torch_lighting.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/optelcomp.jpg b/Astroschool_lect_2022/01-telescopes/pic/optelcomp.jpg new file mode 100644 index 0000000..abe1c0a Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/optelcomp.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.pdf b/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.pdf new file mode 100644 index 0000000..c896813 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.svg b/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.svg new file mode 100644 index 0000000..0e8ee9e --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/pic/parabola_with_focus_and_arbitrary_line.svg @@ -0,0 +1,39 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/01-telescopes/pic/pripl.jpg b/Astroschool_lect_2022/01-telescopes/pic/pripl.jpg new file mode 100644 index 0000000..a1929b2 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/pripl.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/quasar.png b/Astroschool_lect_2022/01-telescopes/pic/quasar.png new file mode 100644 index 0000000..d560d62 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/quasar.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/rain_droplet.png b/Astroschool_lect_2022/01-telescopes/pic/rain_droplet.png new file mode 100644 index 0000000..3df551c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/rain_droplet.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/ray-fan.jpg b/Astroschool_lect_2022/01-telescopes/pic/ray-fan.jpg new file mode 100644 index 0000000..3d6a99f Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/ray-fan.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/refdisp.jpg b/Astroschool_lect_2022/01-telescopes/pic/refdisp.jpg new file mode 100644 index 0000000..3b7d6bf Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/refdisp.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/refrVSrefl.jpg b/Astroschool_lect_2022/01-telescopes/pic/refrVSrefl.jpg new file mode 100644 index 0000000..d583b9c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/refrVSrefl.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/saggmerid.jpg b/Astroschool_lect_2022/01-telescopes/pic/saggmerid.jpg new file mode 100644 index 0000000..293b773 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/saggmerid.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/schmidt.jpg b/Astroschool_lect_2022/01-telescopes/pic/schmidt.jpg new file mode 100644 index 0000000..150bbac Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/schmidt.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/seeing3.jpg b/Astroschool_lect_2022/01-telescopes/pic/seeing3.jpg new file mode 100644 index 0000000..5c60ce8 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/seeing3.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/shack-hartmann.png b/Astroschool_lect_2022/01-telescopes/pic/shack-hartmann.png new file mode 100644 index 0000000..8c2aada Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/shack-hartmann.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/shag.jpg b/Astroschool_lect_2022/01-telescopes/pic/shag.jpg new file mode 100644 index 0000000..7d3ab6f Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/shag.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/snells_law.jpg b/Astroschool_lect_2022/01-telescopes/pic/snells_law.jpg new file mode 100644 index 0000000..8e5dff0 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/snells_law.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/speckles.png b/Astroschool_lect_2022/01-telescopes/pic/speckles.png new file mode 100644 index 0000000..bae647c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/speckles.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/spherical_mirror.png b/Astroschool_lect_2022/01-telescopes/pic/spherical_mirror.png new file mode 100644 index 0000000..eb22714 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/spherical_mirror.png differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/testtower.jpeg b/Astroschool_lect_2022/01-telescopes/pic/testtower.jpeg new file mode 100644 index 0000000..644bb36 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/testtower.jpeg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/thin_lens.jpg b/Astroschool_lect_2022/01-telescopes/pic/thin_lens.jpg new file mode 100644 index 0000000..8c02dec Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/thin_lens.jpg differ diff --git a/Astroschool_lect_2022/01-telescopes/pic/wavefront_SHA.png b/Astroschool_lect_2022/01-telescopes/pic/wavefront_SHA.png new file mode 100644 index 0000000..5f5f86c Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/pic/wavefront_SHA.png differ diff --git a/Astroschool_lect_2022/01-telescopes/saologo.pdf b/Astroschool_lect_2022/01-telescopes/saologo.pdf new file mode 100644 index 0000000..95f7013 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/saologo.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/saologo.svg b/Astroschool_lect_2022/01-telescopes/saologo.svg new file mode 100644 index 0000000..dfed97f --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/saologo.svg @@ -0,0 +1,142 @@ + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + diff --git a/Astroschool_lect_2022/01-telescopes/telescopes.pdf b/Astroschool_lect_2022/01-telescopes/telescopes.pdf new file mode 100644 index 0000000..4a81cc3 Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/telescopes.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/telescopes.tex b/Astroschool_lect_2022/01-telescopes/telescopes.tex new file mode 100644 index 0000000..4d90e24 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/telescopes.tex @@ -0,0 +1,714 @@ +\documentclass[10pt,pdf,hyperref={unicode},aspectratio=169]{beamer} +\hypersetup{pdfpagemode=FullScreen} +\usepackage{lect} + +\title[Телескопы]{Инструменты в приближениях геометрической и волновой оптики} +\date{7~апреля 2022~года} +\def\ig#1{\includegraphics[width=\columnwidth]{#1}} +\def\igh#1{\includegraphics[width=0.5\columnwidth]{#1}} +\def\IG#1#2{\includegraphics[width=#1\columnwidth]{#2}} + +\begin{document} +% Титул +\bgroup\setbeamercolor{normal text}{bg=black} +\begin{frame} +\maketitle +\end{frame}\egroup +\logo{} +% Содержание +\begin{frame} +\tableofcontents +\end{frame} +\section{Телескоп как концентратор энергии} +\subsection{Зеркало} +\begin{frame}{Телескоп как концентратор энергии. Зеркало} +\vspace*{-1em} +\only<1,2>{\begin{columns}\column{0.35\textwidth}\begin{block}{Архимед} +<<Гиперболоид>> (212\,в до н.э.) "--- попытка сжечь осадивший римский флот под Сиракузами во время +2~пунической войны (218--201\,гг до н.э.). +\end{block}\column{0.6\textwidth}} +\only<1>{\img{Giperboloid-Arhimeda}} +\only<2>{\img{archimed}} +\only<1,2>{\end{columns}} +\only<3>{\begin{columns}\column{0.3\textwidth}\begin{block}{} +Зажжение олимпийского огня. Игры~--- раньше 776~г. до~н.э. (до 394~г.\,н.э., возобновлены в +1896~г.)! +\end{block}\column{0.65\textwidth}\img{olympic_torch_lighting}\end{columns}} +\end{frame} + +\subsection{Линза} +\begin{frame}{Телескоп как концентратор энергии. Линза} +\vspace*{-1em}\begin{columns} +\column{0.45\textwidth} +\begin{defin}\textbf{Линза} "--- от лат. <>~-- чечевица.\end{defin} +\begin{block}{} +Пьеса Аристофана <<Облака>> (424\,г. до н.э.) "--- добыча огня. + +Древний Рим. Плиний старший (23--79\,гг. н.э.) "--- добыча огня, коррекция зрения (император Нерон, вогнутый изумруд). + +Альхазен (965--1038\,гг. н.э.) "--- трактат по оптике, формирование изображения глазом. + +1280-е годы, Италия (Сальвино д'Армате) "--- очки. +\end{block} +\column{0.5\textwidth}\img[0.9]{Nimrud_lens_British_Museum} +\vspace*{-1em}\begin{block}{}Линза Нимруда (750--710\,гг. до н.э.). Нимруд "--- одна из древних +столиц Ассирии.\end{block} +\end{columns} +\end{frame} + +\begin{frame}{Световая энергетика} +\textbf{Слюсарев Г.Г.} О возможном и невозможном в оптике (1-е изд. 1944, 2-е изд. 1957).\\ +\textbf{Степанов Б.И.} Введение в современную оптику\ldots, 1989.\\[1em] +Максимальный поток от Солнца: 2\,кал/(мин$\cdot$см${}^2$) (0.14\,Вт) $\Arr$ АЧТ нагреется не выше +$120^\circ$C (0.16\,Вт/см$^2$). Воспламенение древесины "--- $500\div700^\circ$C +($2\div5\,$Вт/см$^2$). +\textbf{Альбедо}! $\Arr$ $20\div40\,$раз выше освещенности от Солнца (и десятки минут)! Мгновенное +воспламенение "--- сотни ватт! + +Диаметр изображения Солнца $d=F/127$ $\Arr$ выигрыш в освещенности: +$\dfrac{E}{E_0}=\bigl(\dfrac{127\cdot D}{F}\bigr)^2$ $\Arr$ светосила для 100\,Вт/см$^2$: +$D/F\ge1/5$, т.е. диаметр <<зеркала>> лишь в 5 раз меньше расстояния! + +3000 <<зайчиков>> в одну точку! Но альбедо белой краски до 80\%!!! + +1747, фр. натуралист Бюффон построил зажигательный прибор из 168 зеркал $15\times20\,$см (с +индивидуальными оправами). За несколько минут на расстоянии 47\,м загорелась смолистая доска (почти +АЧТ). $E/E_0=36$. \\[1em] +<<Знамя-2>> + <<Новый свет>>, 4 февраля 1993. Парус диаметром 20\,м (сектора). Диаметр пятна 8км, +освещенность сравнима с полной Луной. +\end{frame} + +\begin{frame}{Ход лучей в линзе} +\only<1>{Идеальная (тонкая) линза. (О параксиальной оптике -- позже). \img[0.8]{thin_lens}} +\only<2>{Толстая линза, главные плоскости и точки. \img[0.8]{pripl}} +\end{frame} + +\begin{blueframe}{Конические сечения} +\only<1>{\black{Сфера. Сферическая аберрация.}\vspace*{-1em}\img[0.7]{spherical_mirror}} +\only<2>{\black{Парабола.}\vspace*{-1em}\img[0.62]{parabola_with_focus_and_arbitrary_line}} +\only<3>{\black{Эллипс, гипербола, парабола.}\img{ell_par_hyp}} +\end{blueframe} + +\section{Формирование изображений линзами и зеркалами} +\begin{blueframe}{Принцип Гюйгенса--Френеля} +\vspace*{-1em} +\only<1>{\begin{defin}Каждый элемент волнового фронта можно рассматривать как центр вторичного возмущения, порождающего вторичные сферические волны, а результирующее световое поле в каждой точке пространства будет определяться интерференцией этих волн.\end{defin} +\begin{block}{} +Густав Кирхгоф придал принципу Гюйгенса строгий математический вид, показав, что его можно считать приближенной формой теоремы, называемой интегральной теоремой Кирхгофа. + +Фронтом волны точечного источника в однородном изотропном пространстве является сфера. Амплитуда возмущения во всех точках сферического фронта волны, распространяющейся от точечного источника, одинакова. + +Дальнейшим обобщением и развитием принципа Гюйгенса является формулировка через интегралы по траекториям, служащая основой современной квантовой механики. Принцип Ферма "--- наименьшее время распространения. Принцип наименьшего действия Гамильтона. +\end{block}} +\only<2>{\black{Принцип Ферма (принцип наименьшего времени).}\vspace*{-1em} +\img[0.55]{Least_action_principle}} +\only<3>{\black{Рефракция~--- изменение направления движения. (Рота солдат, +мяч).} \vspace*{-1em}\img[0.55]{Refraction_-_Huygens-Fresnel_principle}} +\only<4>{\black{Дифракция на +щели: каждая точка~--- источник вторичных волн.}\vspace*{-1em} +\img[0.65]{Refraction_on_an_aperture_-_Huygens-Fresnel_principle}} +\only<5>{\black{Оптическая разность хода. Огибающая формирует волновой фронт.} + \img[0.6]{Huygens_Refracted_Waves}} +\end{blueframe} + +\begin{frame}{Закон Снеллиуса} +\begin{defin}Виллеброрд Снелль (голл), начало XVII~века:\hspace{1em} +$\displaystyle\frac{\sin\theta_2}{\sin\theta_1}=\frac{v_2}{v_1}=\frac{n_1}{n_2}$\end{defin} +\img[0.7]{snells_law} +(До Снелля закон описал перс. математик ибн Сахль, который к тому же занимался и асферической оптикой) +\end{frame} + +\subsection{Параксиальная оптика} +\begin{frame}{Параксиальная (гауссова) оптика} +\begin{defin}\textbf{Параксиальное приближение} в геометрической оптике "--- рассмотрение только лучей, идущих под малыми углами к главной оптической оси.\end{defin} +\begin{columns} +\column{0.4\textwidth} +\begin{block}{} +$\sin\theta\approx\theta$, $\tg\theta\approx\theta$ и $\cos\theta\approx 1$. Приближение второго порядка (ряд Тейлора): $ \cos\theta\approx 1-{\theta ^{2} \over 2}$. Ошибка не более 0.5\% вплоть до $\theta=10^\circ$. + +Для б\'ольших углов приходится различать меридиональные (плоскость <<основной луч+оптическая ось>>) и саггитальные лучи. +\end{block} +\column{0.6\textwidth} +\img[0.8]{saggmerid} +\end{columns} +\end{frame} + +\begin{blueframe}{Главные плоскости и кардинальные точки} +\vspace*{-1em}\only<1>{\begin{columns}\column{0.6\textwidth} +\begin{block}{}F/F'~-- передняя и задняя фокальные точки; P/P'~-- передняя и задняя главные точки; V/V'~--передний и задний края поверхности; H/H'~-- передняя и задняя главные плоскости.\end{block} +\img[0.8]{Lens_shapes} +\column{0.4\textwidth} +\img[0.8]{Cardinal-points-1} +\end{columns}} +\only<2>{\begin{block}{}Построение изображений.\end{block} +\begin{defin}\textbf{Главная плоскость} "--- каждая из двух плоскостей, перпендикулярных оптической оси системы, изображающихся одна в другой с линейным увеличением, равным единице. \textbf{Кардинальные точки} "--- две главные точки и две точки фокуса.\end{defin} +\img{geolens1}} +\end{blueframe} + +\begin{frame}{Формула тонкой линзы} +\only<1>{\begin{block}{} + $\displaystyle\frac1{f}=(n-1)\left[\frac1{R_1}-\frac1{R_2}+\frac{(n-1)d}{nR_1 R_2}\right]$, +в приближении тонкой линзы: $\displaystyle\frac1{f}\approx(n-1)\left[\frac1{R_1}-\frac1{R_2}\right]$ +\end{block} +\img[0.7]{Lens1}} +\only<2>{\begin{block}{} +$$\frac1{S_1}+\frac1{S_2}=\frac1{f}$$ +\end{block} +\img[0.7]{Lens3}} +\end{frame} + +\subsection{Волновая оптика} +\begin{blueframe}{Дисперсия}\vspace*{-0.6em} +\only<1>{\begin{block}{Числа Аббе (по фраунгоферовым линиям)} +$$V_d = \frac{n_d-1}{n_F-n_C},\quad V_e = \frac{n_e-1}{n_{F'}-n_{C'}}$$ +Показатель частной дисперсии (PgF): $Pg_F = \dfrac{n_g-n_F}{n_F-n_C}$. + +d~(He) -- 587.6\,нм, F~(H${}_\beta$) -- 486.1\нм, C~(H${}_\alpha$) -- 656.3\,нм, +e~(Hg) -- 546.1\,нм, F'~(Cd) -- 480.0\,нм, C'~(Cd) -- 643.9\,нм, g~(H${}_\gamma$) -- 435.8\,нм. +\end{block}\img[0.7]{CF}} +\only<2>{\begin{columns}\column{0.2\textwidth}\begin{block}{}Диаграмма +Аббе\end{block}\column{0.75\textwidth}\img[0.85]{Abbe-diagramm}\end{columns}} +\only<3>{\img{refdisp}} +\only<4>{\vspace{-1.4em}\begin{columns}\column{0.5\textwidth} +\begin{block}{Схема образования радуги} +1)~сферическая капля\\ +2)~внутреннее отражение\\ +3)~первичная радуга\\ +4)~преломление\\ +5)~вторичная радуга\\ +6)~входящий луч света\\ +7)~ход лучей при формировании первичной радуги\\ +8)~ход лучей при формировании вторичной радуги\\ +9)~наблюдатель\\ +10)~область формирования первичной радуги\\ +11)~область формирования вторичной радуги\\ +12)~облако капелек +\end{block} +\column{0.4\textwidth} +\img[0.95]{Rainbow_formation} +\end{columns}} +\end{blueframe} + +\begin{frame}{Интерференция} +\only<1,2>{\begin{defin}\textbf{Интерференция волн} "--- +взаимное увеличение или уменьшение результирующей амплитуды двух или нескольких когерентных волн при их наложении друг на друга.\end{defin}} +\only<1>{\img[0.8]{interference3a}} +\only<2>{\img[0.8]{interference3}} +\only<3>{\vspace*{-1em}\begin{columns}\column{0.5\textwidth} +\begin{block}{Опыт Юнга} +Томас Юнг, 1803. Ширина щелей приблизительно равна длине волны излучаемого света. +Доказательство волновой природы света. + +Интерференционная картина возникает на экране, когда ширина прорезей близка к длине волны +излучаемого монохроматического света. Если ширину прорезей увеличивать, то освещенность экрана +будет возрастать, но контраст интерференционной картины будет падать вплоть до полного её +исчезновения. +\end{block} +\column{0.45\textwidth}\img{interference4} +\end{columns}} +\end{frame} + +\begin{blueframe}{Дифракция} +\only<1>{\begin{columns} +\column{0.6\textwidth} +\begin{defin}\textbf{Дифракция} "--- явление, которое проявляет себя как отклонение от законов геометрической оптики при распространении волн.\end{defin} +\begin{block}{} +$b\sin\phi=k\lambda$. Диск Эйри: $\sin \theta_{min1} \approx 1.22 \frac{\lambda}{d} $ + +Формула Эйри: $s''=\frac{2.76}{a}$ ($a$ в дюймах). +\end{block}\vspace*{-1.5em} +\img[0.7]{Airy-pattern} +\column{0.3\textwidth}\vspace{-2em} +\img[0.7]{Wave_Diffraction_4Lambda_Slit} +\vspace*{-2em}\img{diff_slit} +\end{columns}} +\only<2>{\begin{block}{} +Дифракция Фраунгофера (в дальней зоне):\\ +$\dfrac{W^{2}}{L\lambda }\ll 1$, W~-- ширина щели, $L$~--расстояние. +$\Phi=\dfrac{W^{2}}{L\lambda }$~-- число Френеля.\\ +Дифракция Френеля: $\Phi>1$.\end{block}\img[0.47]{fresnel_zones}} +\end{blueframe} + +\section{Аберрации} +\begin{blueframe}{Хроматическая аберрация} +\only<1>{\img[0.85]{Chromatic_aberration_lens_diagram}} +\only<2>{\img[0.85]{achromatic}} +\only<3>{\blue{Апохромат}\img{Apochromat}} +\end{blueframe} + +\begin{blueframe}{Монохроматические аберрации} +\only<1>{\begin{columns}\column{0.55\textwidth}\blue{Сферическая аберрация, $\propto(D/F)^3$} +\img{Spherical_aberration_1} +\column{0.4\textwidth}\img{Spherical_aberration_2}\end{columns}} +\only<2>{\vspace*{-0.5em}\blue{Кома, $\propto(D/F)^2$}\vspace*{-0.5em}\img[0.8]{Lens-coma}} +\only<3>{\vspace*{-0.5em}\blue{Астигматизм, +$\propto(D/F)$}\vspace*{-0.5em}\img[0.9]{meridional-sagittal-planes}} +\only<4>{\vspace*{-0.5em}\blue{Дисторсия}\vspace*{-0.5em}\img[0.95]{distortion}} +\only<5>{\blue{Кривизна поля "--- фокальная плоскость <<Кеплера>>}\\ + \igh{Field_curvature}\igh{Keplerspacecraft-FocalPlane-cutout}} +\end{blueframe} + +\subsection{Измерение аберраций} +\begin{frame}{Тест Фуко} +\only<1>{\cols{\col{0.65} +\begin{block}{} +1858, L\'eon Foucault. Изначально "--- из центра кривизны зеркала при его шлифовании. +\end{block}\img{Foucault-Test_1} +\col{0.25}\img{Foucault_test}}} +\only<2>{\vspace*{-1em}\img[0.5]{BTAf}} +\end{frame} + +\begin{frame}{Метод Гартманна} +\only<1>{\vspace*{-0.5em}Суть методики \vspace*{-0.5em}\img[0.73]{hartmann}} +\only<2>{\vspace*{-0.5em}Экран 3.5-м телескопа (WIYN, Китт-Пик) +\vspace*{-0.5em}\img[0.7]{WIYN_HartmanScreen_10-91_b}} +\only<3>{\vspace*{-0.5em}Экран БТА \vspace*{-0.5em}\img[0.9]{BTA_hartm}} +\only<4>{\vspace*{-0.5em}\vbox to 0pt{Волновой фронт}\vspace*{-0.5em} + \img[0.5]{mirr_BTA_h}} +\end{frame} + +\begin{frame}{Полиномы Цернике} +\only<1>{\begin{block}{}Четные полиномы Цернике: +$Z_n^m(\rho, \varphi)=R_n^m(\rho )\,\cos(m\varphi)$,\\ +Нечетные: +$Z_n^{-m}(\rho, \varphi)=R_n^m(\rho)\,\sin(m\,\varphi)$,\\ +где $m$ и $n$~-- положительные целые, $n\ge m$;\\ +$\varphi$~-- угловая координата; +$\rho$~-- радиус-вектор ($0\le\rho\le1$); +$R^m_n$~-- радиальные полиномы.\\ +Полиномы Цернике ортонормальны, $|Z_n^m(\rho, \varphi)|\leq 1$.\\ +$\displaystyle R^m(\rho)=\sum_{k=0}^{\tfrac{n-m}{2}}\frac{(-1)^{k}\,(n-k)!}{k!\left(\tfrac +{n+m}{2}-k\right)!\left(\tfrac {n-m}{2}-k\right)!}\;\rho^{n-2\,k}$ для четных $n-m$,\\ +$R_n^m\equiv 0$ для нечетных $n-m$. +\end{block} +} +\only<2>{\begin{columns}\column{0.6\textwidth} +\begin{table}\begin{tabular}{|c|c|c|}\hline +\bf Z& $\mathbf{Z_j}$ & \bf Name \\\hline +$Z_0^0$ & 1& Смещение \\\hline +$Z_1^{-1}$ & $2\rho\sin\varphi$ & Вертикальный наклон \\\hline +$Z_1^1$ & $2\rho\cos\varphi$ & Горизонтальный наклон \\\hline +$Z_2^{-2}$ & $\sqrt6\rho^2\sin2\varphi$ & Астигматизм (косой)\\\hline +$Z_2^{0}$ & $\sqrt3(2\rho^2-1)$ & Дефокус\\\hline +$Z_3^{-1}$ & $\sqrt8(3\rho^3-2\rho)\sin\varphi$ & Вертикальная кома\\\hline +$Z_3^1$ & $\sqrt8(3\rho^3-2\rho)\cos\varphi$ & Горизонтальная кома\\\hline +$Z_4^0$ & $\sqrt5(6\rho^4-6\rho^2+1)$ & Сферическая аберрация\\\hline +\end{tabular}\end{table} +\column{0.37\textwidth}\img{Zernike_polynomials2} +\end{columns}} +\end{frame} + + +\begin{frame}{Метод Шака-Гартманна} +\only<1>{\img[0.83]{shag}} +\only<2,3,4>{\begin{columns}\column{0.48\textwidth} +\begin{block}{Шак-Гартманн на БТА} +ООО <<Визионика>>, ИПЛИТ РАН. +Применяется с 2015 года.\\ +Имеет более высокое разрешение.\\ +Единственный доступный для БТА метод.\\ +Растр $60\times60$ APO-Q-P1000-F40 ($61\times61\,$мм). +\end{block} +\column{0.5\textwidth} +\only<2>{\img{mlm_MonolithicLensletModule}} +\only<3>{\img[0.7]{SHA_BTA}} +\only<4>{\img[0.7]{favaris01}}\end{columns}} +\end{frame} + +\begin{frame}{Метод Роддье} +\img[0.65]{Roddiergrab} +\end{frame} + +\begin{frame}{Zemax} +\vspace*{-1em} +\only<1>{\img[0.7]{mirr_Coma}} +\only<2>{\img[0.7]{fft-mtf}} +\only<3>{\img[0.7]{matrix-spot}} +\only<4>{\img[0.7]{ray-fan}} +\end{frame} + + +\section{Телескопы} +\subsection{Рефракторы} +\begin{frame}{Рефракторы} + \only<1>{Галилея\vspace*{-1.5em}\img[0.42]{galileoscopes}\vspace*{-1em}\img[0.42]{galileo_rays}} + \only<2>{Кеплера\vspace*{-2em}\img[0.8]{keplerian_ray}} + \only<3>{Яна Гевелия (1641, 46м фокус)\\\vspace*{-0.4em}\img[0.52]{hevelius_scope}} + \only<4>{\begin{columns}\column{0.55\textwidth} + \vspace{-1em}\img[0.7]{Huygens_broths_scope} + \column{0.35\textwidth}\begin{block}{} + Гюйгенса (вторая половина XVII~века, 37м)\\ + 1655 "--- кольца Сатурна, Титан;\\ + 1657 "--- маятниковые часы;\\ + 1659 "--- туманность Ориона;\\ + 1675 "--- часовая спираль. + \end{block}\end{columns}} + \only<5>{Francois Deloncle, 1.25м "--- парижская выставка 1900\,г, + $F=57\,$м.\img[0.6]{Great_Ex_Telescope_Telescope}} +\end{frame} + +\subsection{Рефлекторы} +\begin{blueframe}{Рефлекторы} + \only<1>{\begin{columns} + \column{0.49\textwidth}\img{NewtonsTelescopeReplica} + \column{0.49\textwidth}\begin{block}{}Ньютона (1668)\end{block}\img{Newtonian_telescope} + \end{columns}} + \only<2>{\begin{columns}\column{0.49\textwidth}\img{early-herschel-40ft} + \column{0.49\textwidth}\begin{block}{}Гершеля--Ломоносова (1772/1762)\end{block} + \img{Herschel-Lomonosov_reflecting_telescope} + \end{columns}} + \only<3>{\begin{columns}\column{0.49\textwidth}\img{Gregorian_telescope} + \column{0.49\textwidth} + \begin{block}{}Грегори (предложена, но не построена в 1663: парабола + + эллипс)\end{block} + \img{Gregorian_telescopes}\end{columns}} + \only<4>{\begin{block}{}Кассегрена (1672, вариация "--- Ритчи--кретьен, 1910, 2 + гиперболы)\end{block} + \img{Cassegrain_telescope}} + \only<5>{\begin{block}{}Шмидт--Кассегрен (1950-е "--- гигантские размеры + поля)\end{block}\img[0.9]{schmidt}} +\end{blueframe} + +\section{Основные характеристики телескопов} +\begin{frame}{Основные характеристики телескопов} +\vspace*{-1em} +\begin{columns}\column{0.6\textwidth} +\begin{block}{} +\textbf{Разрешение} $\theta =1.220\dfrac\lambda{D}=\dfrac{16.4}{D}$ $''/$см для 650\,нм.\\ +\textbf{Угловое увеличение} $\Gamma=\dfrac{F}{f}$, минимальное: $\Gamma=\dfrac{D}{D_{ep}}$.\\ +\textbf{Поле зрения} $\omega=\dfrac\Omega\Gamma$ ($\Omega$~-- поле зрения окуляра).\\ +\textbf{Светосила} $A=\dfrac{D}{F}$, определяет освещенность в фокальной плоскости.\\ +\textbf{Относительное отверстие} $F\#=1/A=F/D$.\\ +\textbf{Проницающая сила} $m$~-- наиболее слабые звезды (в зените) над фоном.\\ +\textbf{Масштаб} $u=\dfrac {206265}{F}''/$мм. +\end{block} +\column{0.33\textwidth} +\img{Airy_disk_spacing_near_Rayleigh_criterion} +\end{columns} +\end{frame} + +\begin{frame}{Маска Бахтинова} +\only<1>{\img[0.5]{Bahtinov_mask}} +\only<2>{\img[0.9]{Bahtinov_mask_example}} +\end{frame} + +\begin{frame}{Преимущества рефлекторов над рефракторами} +\vspace*{-1em} +\begin{columns} +\column{0.5\textwidth} +\begin{block}{Рефлектор} +Нет хроматической аберрации.\\ +Стоимость ниже.\\ +Труба компактней.\\ +Полировать только одну поверхность.\\ +Посадка по всей площади зеркала.\\ +Основная масса внизу трубы.\\ +\end{block} +\begin{block}{Рефрактор} +Нет дифракционного креста от растяжек.\\ +Не надо переалюминировать.\\ +Не нужна коллимация элементов.\\ +Закрытая труба "--- меньше грязи.\\ +\end{block} +\column{0.4\textwidth}\img[0.9]{refrVSrefl} +\end{columns} +\end{frame} + +\section{Монтировка телескопа} +\begin{frame}{Экваториальная монтировка} +\only<1>{\begin{columns} +\column{0.6\textwidth}\vspace*{-1.4em}\img[0.75]{fraunh_tel} +\column{0.4\textwidth}\begin{block}{1824, Йозеф фон Фраунгофер} +Телескоп обсерватории Тарту. Германская монтировка. + +В 1853 г. Юстус фон Либих предложил метод выделения металлического серебра из раствора +нитрата серебра для серебрения стекла. В 1856-57~гг. Карл Август фон Штайнхейль и Леон +Фуко +(независимо) впервые использовали этот метод. +\end{block}\end{columns}} +\only<2>{\begin{columns} +\column{0.5\textwidth}\vspace*{-1.4em} +\img[0.8]{100_inch_Hooker_Telescope} +\column{0.4\textwidth} +\begin{block}{Телескоп Хукера} +100 дюймов, 1917~г. Английская монтировка <<с ярмом>>. +Обсерватория Маунт Вилсон. +Крупнейший до 1949~г. + +В 1935~г. серебряное покрытие сменено алюминиевым (Джон Донаван +Стронг, калтех, 1932~г.).\end{block}\end{columns}} +\end{frame} + +\begin{frame}{Альт-азимутальная монтировка} +\img[0.7]{bta_telescope} +\end{frame} + +\begin{frame}{Альт-альт} +\begin{columns} +\column{0.6\textwidth}\img{Baker-Nunn_camera_001}\column{0.38\textwidth} +\begin{block}{Baker--Nunn camera} +Отсутствует <<слепая зона>> около зенита. Часто включает азимутальную ось.\\[1em] +Экваториальная "--- невозможно разгрузить большое зеркало, очень массивная конструкция, у некоторых +типов есть <<слепая зона>> у полюса.\\[1em] +Альт--азимутальная "--- вращение поля, <<слепая зона>>, сложное управление, но простая механика. +\end{block}\end{columns} +\end{frame} + +\begin{frame}{Одно- и многоэлементные инструменты} +\only<1>{\vspace*{-0.5em}Пассивные разгрузки БТА.\vspace*{-0.5em}\img[0.9]{btamir0}} +\only<2>{\vspace*{-0.5em}Активная разгрузка 1-м зеркала ESO (1987, NTT) + \vspace*{-0.5em}\img[0.8]{1-m}} +\only<3>{\vspace*{-0.5em}Большой Магелланов Телескоп (GMT, Лас-Кампанас, Чили). + \vspace*{-0.5em}\img[0.8]{GMT-3}} +\only<4>{\vspace*{-0.5em}Центральное зеркало GMT. + \vspace*{-0.5em}\img[0.8]{gmt_Central}} +\only<5>{\vspace*{-1em}\img[0.8]{Telescope-mount-detail}} +\only<6>{\vspace*{-0.5em}39-м телескоп E-ELT (гора Армасонес, Чили). + \vspace*{-0.5em}\img[0.8]{AAS-TMT-calendar-800}} +\only<7>{\vspace*{-0.5em}Сегменты E-ELT (798 сегментов по 1.45\,м) + \vspace*{-0.5em}\img[0.8]{eelt_seg}} +\only<8>{\vspace*{-0.5em}Сегменты Keck + \vspace*{-0.3em}\img[0.8]{keck_segment}} +\end{frame} + +\section{Сходства и различия оптических и радиотелескопов} +\begin{blueframe}{Сходства и различия оптических и радиотелескопов} +\begin{block}{}\textbf{Общие черты}: концентрация падающего излучения в фокальной плоскости.\\ +\textbf{Разное}: длина волны $\Arr$ материал и качество поверхности; разные условия наблюдений +(радиоволны проходят сквозь облака); разные задачи (физические условия, вызвавшие излучение; +поглощение межзвездной средой и т.п.; различие методов интерферометрии). +\end{block}\img[0.6]{EM_Spectrum_Properties_edit} +\end{blueframe} + +\begin{frame}{Интерферометрия} +\vspace*{-1em} +\only<1>{\begin{block}{}\textbf{Астрономический интерферометр} ~--- совокупность отдельных +телескопов, сегментов зеркал или антенн, формирующих единое целое для повышения углового разрешения. +Получение высоких разрешений на малых телескопах.\end{block} +\img[0.85]{Interferometer}} +\only<2>{\img[0.7]{keck_inter}} +\only<3>{\img[0.8]{keck}} +\only<4>{\vspace*{-0.5em}\vbox to 0pt{VLT.}\vspace*{-0.5em}\img[0.5]{VLT_inter}} +\end{frame} + +\begin{blueframe}{} +\begin{columns}\column{0.5\textwidth}\img[0.8]{Astronomical_interferometer_line_geometry} +\column{0.48\textwidth} +\begin{block}{}Разрешение (до $0.001^m$) компонент двойных звезд, поиск экзопланет. Измерение +движения звезд (сдвиги полос) или непосредственно планет (<<обнуляющая>> интерферометрия, +Keck). +\end{block}\end{columns} +\end{blueframe} + +\begin{frame}{Радиоинтерферометрия} +\vspace*{-1em} +\begin{columns} +\column{0.5\textwidth}\img{cross_cor}\column{0.48\textwidth} +\begin{block}{Сверхдлинная база}РСДБ--интерферометр. Данные собираются независимо. Далее +осуществляется корреляционная обработка. Квазар--КВО (координатно-временное обеспечение). +\end{block}\end{columns}\img[0.6]{quasar} +\end{frame} + +\section{Границы возможностей наземных инструментов} +\begin{blueframe}{Земная атмосфера} +\begin{block}{} +Наземная астрофизика сильно сжата в спектральном диапазоне земной атмосферой. +\end{block} +\img[0.95]{Atmospheric_electromagnetic_opacity} +\end{blueframe} + +\begin{frame}{Качество изображения (seeing)} +\begin{columns} +\column{0.49\textwidth}\vspace{-2em}\begin{block}{} +\small\begin{itemize} +\item Полуширина (FWHM) изображения звезды. +\item $r_0$ (типичный размер неоднородности "--- параметр Фрида) и $t_0$ (<<время заморозки>>). +\item Профиль $C_{N^2}$ (может измеряться напрямую, напр. MASS~--Multi Aperture Scintillation +Sensor). +\end{itemize} +\end{block}\vspace{-1em}\img[0.85]{seeing3}\vspace*{-1em} +{\small Наилучшее место "--- горы посреди океана.} +\column{0.49\textwidth}\vspace{-1em}\begin{block}{}\small +Вариация фазы ВФ на входной апертуре: $\sigma^2=1.0299\bigl(\dfrac{d}{r_0}\bigr)^{5/3}$.\\ +$$r_0=\left(\frac{16.7\lambda^{-2}}{\cos Z}\int_0^\infty + C_{N}^2(h)\,dh\right)^{-3/5}$$ + +\end{block}\vspace{-1em}\img[0.65]{mass_idea} +\end{columns} +\end{frame} + +\section{Компенсация влияния атмосферы} +\begin{frame}{Tip-tilt коррекция} +\img{bta_N2_prefocal} +\end{frame} + +\def\FT#1{\mathcal{F}(#1)} +\begin{frame}{Спекл--интерферометрия} +\only<1>{\img[0.95]{speckles}} +\only<2>{\begin{columns}\column{0.5\textwidth}\begin{block}{} +1970, Antoine Labeyrie "--- математические основы СИ (методы Фурье-анализа).\\ +\textbf{Спектр мощности}~-- БПФ полуинварианта 2 порядка (напр. автокорреляции). +\textbf{Биспектр}~-- БПФ полуинварианта 3 порядка. Теорема свертки: +$\FT{f*g}=\FT{f}\cdot\FT{g}$ $\Arr$ биспектр +$B(f_1,f_2)=\mathcal{F}^{*}(f_1+f_2)\cdot\FT{f_1}\cdot\FT{f_2}$. +\end{block}\column{0.48\textwidth} +\img{WR_speckle_restored}\end{columns}} +\end{frame} + +\begin{blueframe}{Адаптивная оптика} +\vspace*{-0.5em} +\only<1>{\begin{block}{} +Horace W. Babcock, 1953 "--- теория АО. Бурное развитие в 90-х в рамках холодной войны. +Искусственная звезда, tip-tilt зеркало, деформируемое зеркало, делитель пучка, датчик волнового +фронта. +\end{block}\vspace*{-0.5em}\img[0.7]{Adaptive_optics_system_full}} +\only<2>{\begin{columns}\column{0.5\textwidth}\img{VLTdefmir} + \column{0.5\textwidth}\img{Ferrofluid_Deformable_mirror}\end{columns}} +\only<3>{\begin{block}{} + $30\div60\,$mas. Искусственные звезды: звезды Рэлея (ближний ИК, $15\div25$~км) и + натриевые ($80\div100$~км, 589~нм). +\end{block}\vspace*{-0.5em} +\img[0.83]{cfht_adaptive_optics}\vspace*{-1em}\textcolor{black}{Только для ярких объектов!}} +\only<4>{\img[0.8]{VLT_artif_star}} +\end{blueframe} + +\begin{frame}{Lucky-imaging, Superresolution} +\smimg[0.33]{Lucky_Single_Exposure_Strehl_16Percent}\hfil +\smimg[0.33]{Lucky_sum_all}\hfil +\smimg[0.33]{Lucky_best_1percent_averaging} +\begin{block}{} +Куб данных с экспозициями $10\div50\,$мс. + +Совмещение снимков с наименьшим числом Штреля. + +Усреднение. + +Итог: было 900\,mas, стало 40! + +Для малых телескопов ($D\le r_0$) это Superresolution. +\end{block} +\end{frame} + +\begin{frame}{} +\vspace*{-0.5em}\img[0.63]{optelcomp} +\end{frame} + +\section{Космические телескопы} +\begin{frame}{Космические телескопы} +\vspace*{-1em}\begin{columns} +\column{0.55\textwidth} +\img[0.8]{Hipparcos-testing-estec} +\column{0.4\textwidth} +\begin{block}{} +1989--1993, Hipparcos "--- High Precision Parallax Collecting Satellite. 29-см телескоп! + +1mas. Каталоги Hipparcos (>118\,тыс, 1997), Tycho (1\,млн, 1997) и Tycho-2 (2.5\,млн, 2000, +более точный). + +Следующая "--- миссия Gaia (2013, $1.45\times0.5\,$м).s +\end{block} +\end{columns} +\end{frame} + +\begin{frame}{} +\vspace*{-1em} +\img[0.5]{HST-SM4}\vspace*{-2em} +\begin{block}{Телескоп им.~Хаббла} +2.4~м зеркало. + +1978 "--- стартовое финансирование, 36~млн.длр. + +1986 "--- общий бюджет проекта вырос до 1.175~млрд.длр. + +25 апреля 1990~г. "--- запуск "--- $\Sum$ 2.5~млрд.длр. + +1999 "--- около 6~млрд.длр. + 593~млн.евр. от ЕКА. + +Четыре экспедиции. +\end{block} +\end{frame} + +\begin{frame}{} +\img{Hubble_Probes_the_Early_Universe} +\end{frame} + +\begin{frame}{} +\begin{columns} +\column{0.55\textwidth}\vspace*{-2em} +\img[0.85]{Kepler_Space_Telescope} +\column{0.4\textwidth} +\begin{block}{Телескоп Кеплера} +2009--2013, 2013--, поиск экзопланет и переменных звезд. 0.95~м апертура, зеркало 1.4~м (камера +Шмидта). + +42 ПЗС 2200x1024. + +$\sim0.5$~млрд.длр. + +Цель "--- 13.2\,млн. звезд. Только в 2009\,г было обнаружено 7500 переменных звезд в списке целей +на поиски экзопланет. + +К маю 2016 обнаружено 1284 планеты (из них 550 каменных, 9 в обитаемой зоне). + +30~октября 2018\,г миссия завершена. Отключили в день смерти И.~Кеплера: 15~ноября. +Изучено 530506 звезд, обнаружено 2662 экзопланеты. На смену пришел TESS. +\end{block} +\end{columns} +\end{frame} + +\begin{frame}{JWST} +\vspace*{-1em} +\only<1>{\begin{columns}\column{0.6\textwidth}\img[0.8]{JWST0} +\column{0.37\textwidth}\begin{block}{}25~декабря 2021~года. $D=6.5\,$м, $F=131.4\,$м. Инструменты: +MIRI (камера среднего ИК), NIRCam (камера ближнего ИК), NIRSpec (спектрограф ближнего ИК), FGS +\slash NIRISS (датчик точного наведения с бесщелевым спектрографом ближнего ИК). + +Орбита в $L_2$ Земля--Солнце (1.5\,млн. км. от Земли). +Позволяет частично экранировать излучение Солнца. +\end{block} +\end{columns}} +\only<2>{\img[0.5]{JWST1}} +\only<3>{\img[0.75]{JWST2}} +\end{frame} + +\if0 +\begin{frame}{} +\img[0.5]{Space_telescopes} +\end{frame} +\fi + +\begin{frame}{Оптические небылицы} +<<Гиперболоид инженера Гарина>> "--- сведение потока излучения в сверхтонкий пучок: нулевой размер +осветителя, отсутствие аберраций, отсутствие дифракции. + +За большое поле зрения приходится платить малым усилением. Закон Лагранжа--Гельмгольца: $\alpha +yn=\alpha' y'n'$ ($\alpha$~-- угл. размер апертуры из точки объекта, $y$~-- линейный размер +объекта, $n$~-- показатель преломления). + +Необратимые явления: дифракция, рассеяние, поглощение. + +\textbf{Угловое увеличение телескопа}. Звезды ($\Delta$~-- зрачок глаза): +$$\frac{L}{L_0}=\left(\frac{D}{D_{out}}\right)^2\left(\frac{D_{out}}{\Delta}\right)^2= +\left(\frac{D}{\Delta}\right)^2.$$ +Однако, качество изображения: seeing$\,\sim1''$ $\Arr$ $1'$. Нет смысла в увеличении больше +$\times120$. Для визуальных наблюдений нет смысла использовать телескоп более +$8\cdot120\approx1\,$м!!! + +Планеты и туманности: освещенность пропорциональна $(D/F)^2$ \Arr при равных светосилах +освещенность не меняется! У звезд же (при условии согласования масштаба) $\propto D^2$. + +А можно ли увидеть следы американцев на Луне? 50-метровый телескоп с идеальной оптикой на орбите +"--- запросто! +\end{frame} + +\begin{frame}{Спасибо за внимание!} +\centering +\begin{minipage}{5cm} + \begin{block}{mailto} + eddy@sao.ru\\ + edward.emelianoff@gmail.com +\end{block}\end{minipage} +\end{frame} +% +\end{document} +% diff --git a/Astroschool_lect_2022/01-telescopes/traektory_AFSH.pdf b/Astroschool_lect_2022/01-telescopes/traektory_AFSH.pdf new file mode 100644 index 0000000..01280bd Binary files /dev/null and b/Astroschool_lect_2022/01-telescopes/traektory_AFSH.pdf differ diff --git a/Astroschool_lect_2022/01-telescopes/traektory_AFSH.svg b/Astroschool_lect_2022/01-telescopes/traektory_AFSH.svg new file mode 100644 index 0000000..ba3d196 --- /dev/null +++ b/Astroschool_lect_2022/01-telescopes/traektory_AFSH.svg @@ -0,0 +1,61 @@ + + + +image/svg+xml \ No newline at end of file diff --git a/Astroschool_lect_2022/02-detectors/detectors.pdf b/Astroschool_lect_2022/02-detectors/detectors.pdf new file mode 100644 index 0000000..478242d Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/detectors.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/detectors.tex b/Astroschool_lect_2022/02-detectors/detectors.tex new file mode 100644 index 0000000..b643519 --- /dev/null +++ b/Astroschool_lect_2022/02-detectors/detectors.tex @@ -0,0 +1,697 @@ +\documentclass[10pt,pdf,hyperref={unicode},aspectratio=169]{beamer} +\hypersetup{pdfpagemode=FullScreen} +\usepackage{lect} + +\title{Физические основы регистрации излучения} +\date{8~апреля 2022~года} + +\begin{document} +% Титул +\bgroup\setbeamercolor{normal text}{bg=black} +\begin{frame} +\maketitle +\end{frame}\egroup\logo{} +% Содержание +\begin{frame} +\tableofcontents +\end{frame} + +\section{Человеческий глаз} +\begin{frame}{Человеческий глаз}\vspace*{-1em} +\cols{\col{0.5} +\centerline{\graph[0.5]{galileo_planets}~~\graph[0.38]{Dunhuang_star}} +\vspace*{-1.5em}\begin{block}{Глаз} +\begin{itemize} +\item Маленькая апертура ($\le8\,$мм) +\item Низкая чувствительность +\item Низкое угловое разрешение ($>16''$, чаще $1'$) +\item Узкий спектральный диапазон +\item Невозможность накопления сигнала +\item Малое поле ясного зрения +\item Цветочувствительность только при больших интенсивностях +\end{itemize} +\end{block}\col{0.5} +\img[0.6]{humaneye}\vspace{-1.5em} +\img[0.4]{galileojupiter} +}\end{frame} + +\begin{lightframe}{}\cols{\col{0.55} +\begin{block}{} +Диапазон: $400\div750\,$нм (низкая чувствительность в УФ из-за материала хрусталика, защищающего сетчатку).\\ +Высокочувствительные палочки и менее чувствительные колбочки.\\ +$100\div200$ фотонов ($\lambda=510\div525\,$нм) в секунду для палочек!\\ +Дальтонизм "--- схожесть или отсутствие светочувствительных белков.\\ +Трёхсоставную теорию цветового зрения впервые высказал в 1756 году М.В.\,Ломоносов. Параллельно +существовала оппонентная теория цвета Эвальда Геринга (ее развили Дэвид Хьюбел и Торстен Визел "--- +нобелевская премия 1981\,г): в мозг поступает информация о разнице яркости (white-black, G-R, B-Y, +Y=R+G). У некоторых женщин~--- тетрахроматизм.\\ +Бинокулярное зрение "--- оценка расстояния и размеров. +\end{block}\col{0.4}\hspace*{-2em}\smimg[1.2]{Spectre_absorption_des_cones}} +\end{lightframe} + +\begin{frame}{} +\cols{\col{0.5} +\begin{block}{Анатомия глаза} +Cornea~-- роговица, первая <<линза>>.\\ +Pupil~-- зрачок, диафрагма (iris).\\ +Lens~-- хрусталик, вторая <<линза>>.\\ +Ciliary body~-- цилиарное тело.\\ +Vitreous body~-- стекловидное тело, третья <<линза>>.\\ +Choroid~-- сосудистая оболочка.\\ +Retina~-- сетчатка.\\ +Macula~-- центральная ямка.\\[1em] +$6\div7\,$млн колбочек, $\sim120\,$млн палочек.\\ +Мозг <<переворачивает>> и <<дорисовывает>> изображение. +\end{block} +\col{0.48}\img{eye-anatomy} +} +\end{frame} + +\begin{frame}{} +\only<1>{\img[0.8]{saturn-lassel}\vspace*{-1em} Зарисовка Сатурна Уильямом Ласселом (1799--1880).} +\only<2>{\img[0.85]{schr_sspot}\vspace*{-1em} + Солнечные пятна (1785--1795). Hieronymus Schroeter (1745--1816).} +\only<3>{\img{M51}Зарисовки М51: а) Джон Гершель, 1833; b) и c) Уильям Парсонс (третий граф Росс); d) современное изображение (Canada-France-Hawaii Telescope).} +\end{frame} + +\section{Типы детекторов и диапазоны} +\begin{frame}{Диапазоны длин волн}\vspace*{-0.5em} +\begin{block}{Регистрируемые формы энергии} +\begin{itemize} +\item Электромагнитное излучение (от гамма-- до радиоволн). +\item Космические лучи (субатомные заряженные частицы высоких энергий). +\item Нейтрино. +\item Гравитационные волны. +\end{itemize} +\end{block}\vspace*{-0.8em} +\begin{block}{Детектирование} +\begin{itemize} +\item События (фотоны, частицы) "--- детекторы частиц, счетчики фотонов +\item Создаваемое тепло "--- болометры +\item Волновые характеристики "--- радиометры +\end{itemize} +\end{block}\vspace*{-0.8em} +\begin{block}{Измеряемые параметры} +\begin{itemize} +\item Направление и время прибытия излучения. +\item Интенсивность на разных длинах волн. +\item Степень поляризации излучения. +\item Фазовые сдвиги между волнами. +\end{itemize} +\end{block} +\end{frame} + +\begin{blueframe}{Электромагнитный спектр} +\img[0.85]{EM_Spectrum} +\end{blueframe} + +\begin{frame}{Источники излучения} +\centerline{\begin{tabular}{|p{1.5cm}|c|c|p{4cm}|p{2cm}|} +\hline +\bf Диапазон & \bf $\pmb\lambda$, нм & \bf $\pmb{T}$, K &\bf Тепловые +источники &\bf Нетепловые \\ \hline +Гамма & $<0.01$ & $>10^8$ & Термоядерный синтез & ppI, IC, DR\\ +Рентген & $0.01$--$20$ & $10^6$--$10^8$& Газ в скоплениях галактик, остатки сверхновых, солнечная +корона & IC, SR\\ +УФ & $20$--$400$& $10^5$--$10^6$& Остатки сверхновых, горячие звезды& SR\\ +Видимый& $400$--$700$& $10^4$--$10^5$& Звездные атмосферы, оболочки& SR\\ +ИК & $700$--$10^6$& $10$--$10^3$& Холодные облака газа и пыли, планеты, спутники& SR\\ +Радио& $>10^6$ & $<10$& Темные пылевые облака& SR\\ +\hline +\end{tabular}} +ppI~-- протон-протонные столкновения, IC~-- обратное комптоновское рассеяние, DR~-- тормозное +излучение, SR~-- синхротронное излучение. +\end{frame} + +\begin{frame}{Всеволновой космос} +\vspace*{-1em} +\only<1>{\img[0.7]{allwavesky}} +\only<2>{\img[0.9]{MWA-whirlpool-galaxy}} +\end{frame} + +\begin{frame} +\img[0.75]{multiwave_galaxy} +\end{frame} + + +\begin{frame}{Атмосферное пропускание} +\vspace*{-0.8em} +\only<1>{\img[0.9]{atm_trans}} +\only<2>{\img[0.9]{MWA-Observatories}} +\end{frame} + +\if0 +\begin{frame}{Типы подложек светоприемников} +\img{detector_wavelengths} +\end{frame} +\fi + +\begin{frame}{} +\img[0.85]{Observatories_across_spectrum_labeled_full} +\end{frame} + + +\begin{frame}{Инфракрасный диапазон} +\vspace*{-1em}\only<1>{\cols{\col{0.6}\begin{block}{} +1800~--- открытие ИК излучения Уильямом Гершелем. + +1838~--- измерение солнечной постоянной Клодом Пулье (1.23\,кВт/м$^2$, современное значение +1.367\,кВт/м$^2$). + +1880~--- болометр Лэнгли. 1875~--- радиометр Крукса. Термопары. + +1957~--- открытие свойств HgCdTe. + +1962~--- фотометрическая система Джонсона, измерения фотоэлектрическими ячейками на PbS и InSb. + +1970~--- IR~CCD, матрицы диодов Шоттки. + +2000е~--- различные виды FPA. +\ldots +\end{block} +\col{0.35}\img{herschel}}} +\only<2>{\img[0.6]{IR_atm}\vspace*{-1em} +\begin{block}{Диапазоны} +\begin{itemize} +\item $0.75\div1.4\,$мкм~--- ближний ИК, ПЗС; +\item $1.4\div3\,$мкм~--- коротковолновый ИК, HgCdTe (до $2.54\,$мкм), InSb (до $5.4\,$мкм); +\item $3\div8\,$мкм~--- средний ИК, Si:As ($5\div28\,$мкм); +\item $8\div15\,$мкм~--- длинноволновый ИК, Si:As; +\item $15\div1000\,$мкм~--- дальний ИК и субмиллиметровый диапазон. +\end{itemize} +\end{block}} +\only<3>{ +\centering\begin{tabular}{|c|c|c|c|} +\hline\ж $\pmb\lambda,\,$мкм & \ж Полоса &\ж Прозрачность неба & \ж Яркость неба\\\hline +$1.1$--$1.4$ & J & высокая & низкая\\ +$1.5$--$1.8$ & H & высокая & очень низкая\\ +$2.0$--$2.4$ & K & высокая & очень низкая\\ +$3.0$--$4.0$ & L & достаточно высокая& низкая\\ +$4.6$--$5.0$ & M & низкая & высокая \\ +$7.5$--$14.5$& N & \multicolumn{1}{p{3.5cm}|}{низкая (кроме 8--9 и 10--12\,мкм, где средняя)} & +очень высокая\\ +$17$--$25$ & Q & очень низкая & очень высокая \\ +$28$--$40$ & Z & очень низкая & очень высокая \\ +$330$--$370$ & & очень низкая & низкая\\\hline +\end{tabular} +} +\only<4>{\begin{block}{Телескопы} +{\ж Наземные}: {\ж VISTA} (4.1\,м), UKIRT (3.8\,м), IRTF (3\,м), и др. + +{\ж На борту самолета}: {\ж SOFIA} (2.5\,м). + +{\ж Космические}: JWST (6.5\,м), {\ж Herschel} (3.5\,м), Spitzer (0.85\,м) и др. +\end{block} +\centering +\graph[0.3]{VISTA}\hspace{1em} +\graph[0.35]{SOFIA}\hspace{1em} +\graph[0.25]{HERSCHELS} +} +\end{frame} + +\begin{frame}{Оптический диапазон} +\vspace*{-1em} +\only<1>{Световое загрязнение\img{light_pollution}} +\only<2>{\img[0.4]{lpchange}} +\only<3>{Расположение\img{largest_scopes}} +\end{frame} + +\begin{frame}{Ультрафиолетовый диапазон} +Только космические телескопы: UVIT на Astrosat (40\,см), HST (2.4\,м), UVOT на SWIFT (30\,см) и +многие другие. + +\centering +\graph[0.3]{Astrosat}\hspace{1em} +\graph[0.35]{HST}\hspace{1em} +\graph[0.25]{SWIFT} +\end{frame} + +\section{Характеристики детекторов} +\begin{frame}{Характеристики детекторов} +\begin{block}{} +Размер, количество пикселей (каналов), чувствительность в зависимости от длины волны (квантовая эффективность) и доступный спектральный диапазон, динамический диапазон, линейность, накопление сигнала, временн\'ое разрешение, шумовые характеристики, стабильность, цена. +\end{block} +\begin{block}{Эволюция детекторов} +Историческая эволюция: глаз \Arr фотопластинка \Arr одноканальные фотоэлектрические приемники \Arr сканеры фотопластинок \Arr телевизионные сканеры \Arr полупроводниковые устройства (фотодиоды, ПЗС, композитные ИК приемники, болометры, лавинные фотодиоды, КМОП) \Arr устройства, измеряющие энергию фотона (STJ "--- на сверхпроводящих туннельных переходах, transition-edge sensor "--- повышение сопротивления свехпроводящего перехода). +\end{block} +\end{frame} + +\section{Аналоговая регистрация и счет фотонов} +\begin{frame}{Фотографические пластинки}\only<1>{ +1826, Нисефор Ньепс, гелиография (полимеризация битума).\img[0.75]{Nieps}} +\only<2>{ +\cols{\col{0.5} +\begin{block}{} +\begin{itemize} +\item Большой формат +\item Очень низкая эффективность ($<1\%$) +\item Сложность перевода в цифровую форму +\item Нелинейность, сложность калибровки +\end{itemize} +\end{block}\img[0.8]{ISO6speedMethod} +\col{0.4}\img{Orion-Nebula_A_A_Common}\vspace*{-1em} +\begin{block}{} +Andrew Ainslie Common, 1883~г. "--- туманность Ориона. +\end{block}}} +\only<3>{\vspace*{-0.5em}\begin{block}{``Harvard Computers'' (Pickering's Harem)} +Edward Charles Pickering, 1881. Привлечение женщин для обработки растущей коллекции фотопластинок +Гарвардской обсерватории. The Henry Draper Catalogue. Обнаружение переменных звезд, изучение +спектров, классификация галактик. +\end{block}\vspace*{-0.5em} +\img[0.45]{annie_jump_cannon_with_plate} +Annie Jump Cannon, 1896.} +\end{frame} + +\begin{blueframe}{Болометр} +\only<1>{\cols{ +\col{0.4}\img[0.8]{Bolometer_conceptual_schematic}\col{0.4} +\begin{block}{} +1878~г. Сэмюэль Лэнгли изобрел болометр: две платиновые полоски, зачерненные ламповой сажей, +включенные по схеме моста Уитсона и подключенные к чувствительному гальванометру. + +Болометр Лэнгли чувствовал корову за милю! + +Расширение диапазона до ИК. +\end{block}}} +\only<2>{\cols{\col{0.4}\img{Wheatstonebridge} +\col{0.6}\begin{block}{} +Мост Уитстона: $\dfrac{R_2}{R_1}=\dfrac{R_x}{R_3}$ \Arr $R_x=\dfrac{R_2}{R_1}R_3$. + +$$V_{G}=\left(\frac{R_2}{R_{1}+R_{2}}-\frac{R_x}{R_{x}+R_{3}}\right)V_{s}$$ +$\dfrac{R_x}{R_3}=\dfrac{V_s-2V_G}{V_s+2V_G}$~--- если $V_s=10\,$В, то при $V_G=1\,$мВ +относительное изменение сопротивления составит $4\cdot10^{-4}$. + +$R_3$ и $R_x$~--- зачерненные платиновые полоски. Точность измерений~--- до $10^{-5}{}\degr C$. +\end{block}}} +\end{blueframe} + +\begin{blueframe}{Термопара} +\cols{\col{0.5}\begin{block}{Эффект Зеебека} +Величина возникающей термо-ЭДС в первом приближении зависит только от материала проводников и +температур горячего ($T_1$) и холодного ($T_2$) контактов: +$$\mathcal {E}=\Int_{T_{1}}^{T_{2}}\alpha_{12}(T)dT.$$ + +Объясняется совокупностью трех эффектов: зависимостью от температуры скорости электронов и +энергии Ферми (контактная разность потенциалов) и фононным увлечением электронов. +\end{block} +\col{0.5}\img{Zeebek}\vspace*{-6em} +\black{Термоэлектрический генератор на элементах Пельтье}} +\end{blueframe} + +\begin{blueframe}{Фотоэффект} + \vspace*{-1em} +\only<1>{\cols{\col{0.5} +\begin{block}{Внешний фотоэффект} +$$h\nu =A+\frac{mv^2}{2}$$ +\end{block} +\begin{block}{Внутренний фотоэффект} +$W_{min}$~--- ширина запрещенной зоны. $W_{max}$~--- энергия выхода. + +Фотон с требуемой энергией формирует электронно-дырочную пару. Примеси позволяют уменьшить красный +предел (электрон находится в запрещенной зоне). + +Фоторезисторы. +\end{block} +\col{0.5}\img{inside-photo-effect}}} +\only<2>{\cols{\col{0.5}\begin{block}{Фотовольтаический (фотогальванический) эффект} +Напрямую связан с фотоэлектическим эффектом. +Режимы: фотогальванический (без внешнего напряжения) и фотопроводимости (обратное смещение). + +Генерируемая в обедненной области пара разрывается потенциалом Гальвани. Происходит накопление +заряда. + +Фотодиоды, ПЗС, CMOS. +\end{block} +\col{0.4}\img{PhotovoltaicEffect}}} +\end{blueframe} + +\begin{frame}{Ускорение и размножение электронов} +\vspace*{-2em}\only<1>{\begin{block}{} +1940-е годы. Счет фотонов. Большие "--- потому одноканальные. +\end{block} +\img{PhotoMultiplierTubeAndScintillator}} +\only<2>{\cols{\col{0.3}\begin{block}{} +Твердотельные фотоумножители (SiPM): массивы (сотни или даже тысячи) лавинных фотодиодов. Вместо +киловольт~--- 10-50\,В. Квантовая эффективность около 40\%. Fast output реакция $\sim1\,$нс. +\end{block} +\col{0.67}\img{siPM}}} +\only<3>{\vspace*{1em}\vbox to 0pt{SiPM perfomance}\img[0.7]{SiPMpe}} +\end{frame} + +\section{Многоканальные светоприемники} +\begin{blueframe}{ЭЛТ} +\vspace*{-1em}\begin{block}{} +1964, E. Luedicke, A. D. Cope, and L. E. Flory. Astronomical Image-Integration System Using a +Television Camera Tube. + +На $3^m\div4^m$ чувствительнее фотопластинок. +\end{block} +\img{Orthicon} +\end{blueframe} + +\begin{blueframe}{Position sensitive devices} +\vspace*{-1em} +\only<1>{\begin{block}{} +Конец 1970-х "--- микроканальные пластины. + +1983, Siegmund, O.H.W. et al. "Application of the wedge and strip anode to position sensing with +microchannel plates and proportional counters". + +1986, Siegmund, O.H.W. et al. "Wedge and strip image readout systems for photon-counting detectors +in space astronomy". +\end{block} +\begin{columns} +\column{0.45\textwidth} +\img{MCP} +\column{0.4\textwidth} +\img[0.8]{WSA} +\end{columns}} +\only<2>{\begin{block}{}Полупроводниковые КЧД: на PIN-диодах (I~-- <<собственный>> (intrinsic) +полупроводник без легирования)\end{block} +\centerline{\smimg[0.47]{PINPSD}\hspace{1em}\smimg[0.4]{PSDmatrix}} +} +\end{blueframe} + +\begin{frame}{ЭОП} +\cols{\col{0.4} +\begin{block}{} +Первую конструкцию ЭОП предложили в 1928\,г. изобретатели из компании Philips.\\ +Первое поколение "--- каскады ФЭУ.\\ +Второе "--- микроканальная технология (уменьшение паразитной засветки).\\ +Третье "--- фотокатоды на арсениде галлия (больше усиление, меньше размеры).\\ +Четвертое (2014\,г!) "--- чувствительность $400\div1000\,$нм, лучшее качество изображения, +уменьшение размеров. +\end{block} +\col{0.58} +\img{Gen3-Image-Tube}} +\end{frame} + +\begin{frame}{ПЗС} + \vspace*{-1em} +\begin{columns} +\column{0.4\textwidth} +\img{ccdintro} +\column{0.5\textwidth} +\begin{block}{} +1969, Уиллард Бойл и Джордж Смит, лаборатории Белла. + +1975 "--- первая ПЗС 100x100 (Steven Sasson, Kodak). + +1976 "--- запуск спутника--шпиона с ПЗС 800x800. +\end{block}\vspace*{-1em} +\img[0.7]{ccdanatomy} +\end{columns} +\end{frame} + +\begin{frame}{Квантовая эффективность ПЗС} + \only<1>{QE "--- отношение количества падающих фотонов к детектируемым. Красная граница (Si: + $1.12\,$эВ)~--- 1\,мкм. + \img[0.92]{QE_PTGrey}} + \only<2>{\img[0.6]{quantumefficiencyfigure1}} +\end{frame} + +\begin{frame}{Линейность} + Линейность ПЗС-камеры Apogee Alta 16M-HC (Kodak KAF-16803). + \img[0.6]{Apogee_linearity} + $\pm0.5\%$ ($2000\div40000$ ADU) $\pm1.0\%$ ($0\div45000$ ADU). +\end{frame} + +\begin{frame}{Динамический диапазон} + \cols{\col{0.4}\begin{block}{} + Максимальный размах уровней сигнала, при котором он регистрируется без потерь.\\ + Идеал "--- бесконечный динамический диапазон. + \end{block} + \col{0.6}\img{bloomingfigure4}} +\end{frame} + +\begin{frame}{Временн\'ое разрешение} + \begin{block}{} + Минимальный интервал времени, в течение которого можно обнаружить изменение потока + излучения.\\ + Потери времени на считывание и сохранение. + \end{block} + \img{TauOphPicsD} +\end{frame} + +\begin{frame}{Пространственное разрешение} + \vspace*{-0.7em} + \begin{block}{}Степень детализации изображения зависит от условий наблюдения, оптики телескопа + и прибора, размера пикселя. + \end{block}\vspace*{-0.4em} + \img[0.75]{digitalimagingfigure2} +\end{frame} + +\begin{blueframe}{Выбор светоприемника под масштаб} + \centering\begin{minipage}{0.6\textwidth} + \begin{block}{Масштаб изображения}\centering + $5a\ge\Delta x \ge 2a,\qquad S_{tel}=\dfrac{F_{tel}}{206265}$, $m = + \dfrac{S_{cam}}{S_{tel}}=\dfrac{F_{cam}}{F_{coll}}$. + + БТА: $1/S=8.6''/$мм, $\Delta x_{1''}=116.36\,$мкм + + $a_{opt}=13\,$мкм. Нужен редуктор $\sim2.5\,$раз! + + \end{block}\end{minipage} + \img[0.9]{focal_reducer} +\end{blueframe} + +\begin{frame}{Шумы}\vspace*{-1em} + \only<1>{ + \begin{block}{} + Выходной сигнал всегда отличается от входного: пуассонова статистика фотонов, фон неба, + тепловой (темновой) шум, космические частицы, шум считывания и т.п. + \end{block}\vspace*{-0.5em} + \img[0.6]{Kodak_dark}} + \only<2>{ + \begin{block}{} + Если пуассонов шум фотонов плоского поля превышает шум считывания, гистограмма имеет + почти + гауссову + форму. + $$\sigma\ind{ADU}=\frac{\sqrt{\mean{F}\cdot G}}{G}$$ + $\sigma\ind{ADU}$~-- полуширина гистограммы плоского поля, $\mean F$~-- средний уровень + плоского, + $G$~-- gain (коэффициент преобразования фотоэлектронов в ADU). + + Два кадра bias ($B$) и плоского ($F$): + $$ + G = \frac{(\mean{F_1}+\mean{F_2}) - + (\mean{B_1}+\mean{B_2})}{\sigma^2_{F_1-F_2}-\sigma^2_{B_1-B_2}} + $$ + Шум считывания: + $$ + RN = \frac{G\cdot\sigma_{B_1-B_2}}{\sqrt2} + $$ + \end{block} + } +\end{frame} + +\begin{frame}{КМОП}\vspace*{-1em} +\begin{columns} +\column{0.7\textwidth} +\only<1>{\img{CCD-VS-CMOS}} +\only<2>{\img{HgCdTe_ULBcam}} +\column{0.3\textwidth} +\begin{block}{} +Конец 1980-х "--- <<активно-пиксельные датчики>>. Недеструктивное считывание, произвольный доступ. +Но низкая квантовая эффективность. + +\onslide<2>{ИК-детекторы на HgCdTe} +\end{block} +\end{columns} +\end{frame} + +\begin{blueframe}{Гибридные матрицы (Focal Plane Array)}\vspace*{-1em} +\only<1>{\cols{\col{0.6}\begin{block}{} +В n-канальном полупроводнике легируются p-канальные площадки "--- пиксели. + +Каждый пиксель является конденсатором, накапливающим фотогальванические дырки, либо же конденсаторы +легируются в ROIC. + +Толщина полупроводника: слишком маленькая "--- прозрачная для фотонов, слишком большая "--- +рекомбинация пар в процессе экспозиции. Обычно около 10\,мкм. + +Просветляющее покрытие. +\end{block} +\col{0.4}\img{hgcdte1}}} +\only<2>{\cols{\col{0.6}\begin{block}{} +На кремнии "--- считывающая схема (ReadOut Integrated Circuit). + +Регистрирующая структура прижимается к считывающей. + +Контакт посредством индиевых шариков (мягкий металл даже при криогенных температурах). + +Индивидуальная цепь считывания для каждого пикселя. + +Независимая адресация, недеструктивное считывание. Отсутствие растекания заряда, как в ПЗС. +<<Плохие>> пиксели не влияют на окружение! +\end{block} +\col{0.4}\img{hgcdte2}}} +\only<3>{\cols{\col{0.47}\begin{block}{} +$V_{reset}$~--- уровень смещения (bias), $V_{read}\propto q$. + +Усилитель на МОП позволяет практически свести к нулю утечки при недеструктивном считывании. + +$\Phi_{read}$ подается через элемент <<2И>> на двух МОП (адресация столбца и строки). +\end{block} +\col{0.5}\img{hgcdte3}}} +\only<4>{\cols{\col{0.5}\begin{block}{} +Hawaii HgCdTe 1024x1024.\par Пиксель 18.5\,мкм.\par Gain 5.4\,e/ADU.\par RON 2.1\,ADU.\par Около +10000 плохих пикселей.\par Нелинейность меньше 1.5\% от 0 до 10000\,ADU.\par Темновой ток при +T=78\,K меньше 0.1\,e/s. +\end{block} +\col{0.5}\img{hawqe}} +\vspace{1em} +\black{\small https://www.eso.org/sci/facilities/lasilla/instruments/sofi/inst/HawaiiDetector.html}} +\only<5>{\cols{\col{0.4}\begin{block}{} +Высокий шум InSb при $T>60\,$К определяется большим уровнем генерационно-рекомбинационных токов. + +У HgCdTe в этом диапазоне г-р токи практически нулевые, шум определяется в основном диффузными +токами. + +$$T_{max}=\frac{200\,K}{\lambda_c\text{\,$\mu$m}}$$ +\end{block} +\col{0.5}\img[0.8]{irdark}}\vspace*{-1em} +\black{\small OPTO--ELECTRONICS REVIEW \textbf{20}\,(3), 279--308.}} +\end{blueframe} + +\section{Примеры детекторов} +\begin{frame}{} +\begin{columns} +\column{0.4\textwidth} +\only<1>{\img{SDSSFaceplate}} +\only<2>{\img{frame_transfer_CCD}} +\column{0.5\textwidth} +\begin{block}{} +\only<1>{Слоановский обзор SDSS, 30 ПЗС 2048x2048 в сканирующем режиме.} +\only<2>{ПЗС с переносом заряда позволяют уменьшить воздействие посторонней засветки во время +считывания.} +\end{block} +\end{columns} +\end{frame} + +\begin{frame}{STJ, TES "--- измерение энергии фотона} +\only<1>{\begin{block}{STJ} +Два сверхпроводника, разделенных тонким изолятором. + +Алюминий (1.2К), ниобий (4.2К). + +100..1000ГГц "--- радиоастрономия. Счетчик фотонов в широком диапазоне. +\end{block}\img[0.5]{Josephson}} +\only<2>{ +\begin{block}{TES} +Transition-edge sensor "--- криогенный датчик, в основе работы которого используется зависимость от температуры сопротивления на границе фазового перехода в сверхпроводящее состояние. +\end{block} +\img[0.4]{NIST_Tungsten_Transition_Edge_Sensor}} +\end{frame} + +\begin{frame}{OTCCD} +\only<1>{\vspace*{-1em}\cols{\col{0.6} +\begin{block}{arXiv:astro-ph/9705165, 1997} +The Orthogonal Transfer CCD позволяет переносить заряд в любом из четырех направлений. Отслеживание атмосферных наклонов волнового фронта с частотой до 100\,Гц. Проще tip-tilt систем. +\end{block} +\col{0.3}\img{OTCCD}}} +\only<2>{\img[0.8]{OTccd_}} +\end{frame} + +\begin{frame}{ПЗС, итоги}\vspace*{-0.5em} +\begin{block}{} +\begin{itemize} + \item Для повышения эффективности толщина рабочего слоя ПЗС должна быть не больше подложки n-типа, + back-illuminated. Усложнение техпроцесса, удорожание. + \item Глубокое охлаждение чипа: при $-80\degr$C с ростом температуры на $\sim7\degr$C темновой шум + увеличивается в два раза. + \item Кремниевая подложка имеет красную границу на $\sim1.1\,$мкм, в ИК светоприемники с + кремниевыми подложками не будут работать. + \item Утончение чипа приводит к росту прозрачности для больших длин волн и появлению фрингов. + \item Большой проблемой является растекание заряда с переэкспонированных пикселей. + \item ПЗС невозможно оснастить <<электронным>> затвором, их затвор механический. + \item Дефекты подложки приводят к появлению <<горячих>> и <<плохих>> пикселей. + \item Постоянное воздействие космических частиц вызывает необратимую деградацию. +\end{itemize} +\end{block} +\end{frame} + +\begin{blueframe}{CMOS, итоги}\vspace*{-1em} +\only<1>{\cols{\col{0.5}\begin{block}{} +Сканирование производится построчно. + +<<Медленная>> шина "--- строки (Y). <<Быстрая>> "--- столбцы (X). + +Тактирование сдвигового регистра X поочередно адресует пиксели в строке. + +Подключение сброса: индивидуально, построчно или глобально. + +Если считывание не завершается сбросом, накопление продолжается "--- недеструктивное считывание. +\end{block} +\col{0.4}\img{hawlcc}}} +\only<2>{\cols{\col{0.47}\begin{block}{Двойная коррелированная выборка} +$V_b$~--- начальный уровень смещения.\par +$V_1$~--- уровень при считывании сразу после сброса.\par +$V_2$~--- считывание в конце экспозиции. + +$V_2-V_1$~--- двойная коррелированная выборка. +\end{block} +\col{0.5}\img{cds}}} + +\only<3>{\cols{\col{0.57}\begin{block}{Недеструктивное считывание} +Fowler (F) and Follow-Up-the-Ramp (FUR, отслеживание наклона) sampling.\par +$\SNR_{FUR}=\SNR_{DC}\sqrt{\dfrac{n(n+1)}{6(n-1)}}$.\par +Для $n\gg1$\par +$t=nT_{read}$: $\SNR_{F} = \SNR_{DC}\sqrt{\frc{n}{8}}\approx\SNR_{FUR}\sqrt{\frc68}$ +$t\gg nT_{read}$: $\SNR_{F} = \SNR_{DC}\sqrt{\frc{n}{2}}\approx\SNR_{FUR}\sqrt{3}$! + +Однако, FUR более применим в космосе: восстановление изображений, поврежденных космикой! +\end{block} +\col{0.4}\img{nondestr}}} +\end{blueframe} + +\begin{frame}{Обработка ИК-снимков}\vspace*{-1em} +\only<1>{\cols{\col{0.47}\begin{block}{Яркость неба} +Высокий уровень шумов от самого телескопа.\par +В дальнем ИК небо ярче объектов!\par +Фон неба зависит от положения объекта.\par +<> "--- небольшие перемещения телескопа между экспозициями для получения снимков неба. +\end{block} +\col{0.4}\img{irsky}}} +\only<2>{\cols{\col{0.57}\begin{block}{Последовательность обработки} +\begin{enumerate} +\item Медианное усреднение снимков неба. +\item Вычитание неба из снимков объекта. +\item Деление результата на плоское поле. +\item Обработка результата. +\end{enumerate} +Переполненные поля требуют б\'ольших перемещений телескопа для формирования изображения неба. +\end{block} +\col{0.34}\img{irframe}}} +\only<3,4>{\cols{\col{0.47}\begin{block}{Mid IR: Chopping + Nodding} +В среднем ИК фон неба быстро меняется. Экспозиции "--- не более 50\,мс! +\begin{enumerate} +\item{} <> \Arr on$_i$/off$_i$. +\item $\Sum_{i=0}^{i=xxxxx}$ \Arr On$^1$-Off$^1$. +\item{} <>, repeat \Arr On$^2$-Off$^2$. +\item Sky=On$^1$-Off$^1$+On$^2$-Off$^2$. +\item Accumulated=On$^1$-Off$^1$-(On$^2$-Off$^2$). +\item Совмещение \Arr Shift+add. +\end{enumerate} +\end{block} +\col{0.5}\only<3>{\img{irdemob}} +\only<4>{\img{chopnod}}}} +\end{frame} + + +\begin{blueframe}{Закон Мура}\vspace*{-1em} +\vspace*{-1em}\img[0.5]{moorelaw} +\vspace*{-1em}\vbox to 0pt{\black{Удвоение числа транзисторов на ИС каждые 2 года.}} +\end{blueframe} + + +\begin{frame}{Спасибо за внимание!} +\centering +\begin{minipage}{5cm} +\begin{block}{mailto} +eddy@sao.ru\\ +edward.emelianoff@gmail.com +\end{block}\end{minipage} +\end{frame} +\end{document} diff --git a/Astroschool_lect_2022/02-detectors/lect.sty b/Astroschool_lect_2022/02-detectors/lect.sty new file mode 100644 index 0000000..9a9f1a8 --- /dev/null +++ b/Astroschool_lect_2022/02-detectors/lect.sty @@ -0,0 +1,137 @@ +\usepackage[T2A]{fontenc} %поддержка кириллицы +\usepackage[koi8-r]{inputenc} +\usepackage[english,russian]{babel} +\usepackage{xspace} +\usepackage{array} +%\usepackage[intlimits]{amsmath} + +\renewcommand{\arraystretch}{1.2} +\def\No{\textnumero} + +\graphicspath{{./pic/}} +\usetheme{Boadilla} +\usefonttheme{structurebold} +\usefonttheme[onlymath]{serif} +\setbeamercovered{transparent} + +\newenvironment{pict}% + {\begin{figure}[!h]\begin{center}\noindent}% + {\end{center}\end{figure}} + +\setbeamercolor{color1}{bg=blue!50!black,fg=white} +\setbeamercolor{normal text}{bg=blue!20!black,fg=cyan!70!white} +\setbeamercolor{frametitle}{fg=red,bg=blue!40!black} +\setbeamercolor{title}{fg=red,bg=blue!40!black} +\setbeamercolor{block title}{fg=cyan,bg=blue!40!black} +\newenvironment{defin}{\begin{beamercolorbox}[shadow=true, rounded=true]{color1}}% +{\end{beamercolorbox}} +\newcommand{\graph}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\newcommand{\img}[2][]{\begin{pict}\includegraphics[width=#1\columnwidth]{#2}\end{pict}} +\newcommand{\smimg}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\logo{\includegraphics[height=1cm,keepaspectratio]{traektory_AFSH}\hspace{2em}% + \includegraphics[height=1cm,keepaspectratio]{saologo.pdf}} + +\def\daterussian{ % fix for iюня and iюля + \def\today{\number\day~\ifcase\month\or + \cyrya\cyrn\cyrv\cyra\cyrr\cyrya\or + \cyrf\cyre\cyrv\cyrr\cyra\cyrl\cyrya\or + \cyrm\cyra\cyrr\cyrt\cyra\or + \cyra\cyrp\cyrr\cyre\cyrl\cyrya\or + \cyrm\cyra\cyrya\or + \cyri\cyryu\cyrn\cyrya\or + \cyri\cyryu\cyrl\cyrya\or + \cyra\cyrv\cyrg\cyru\cyrs\cyrt\cyra\or + \cyrs\cyre\cyrn\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyro\cyrk\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyrn\cyro\cyrya\cyrb\cyrr\cyrya\or + \cyrd\cyre\cyrk\cyra\cyrb\cyrr\cyrya\fi + \space \number\year~\cyrg.}} + +\author[Емельянов Э.В.]{Емельянов Эдуард Владимирович} +\institute[САО РАН]{Специальная астрофизическая обсерватория РАН\\ + {\tiny Лаборатория физики оптических транзиентов}\\ +} + +\def\ж{\bf} +\def\т{\tt} +\def\н{\normalfont} +\def\к{\it} +\def\t#1{\texttt{#1}} +\def\bi{\bfseries\itshape} % Жирный курсив +\def\red#1{\textcolor{red}{#1}} +\def\green#1{\textcolor{green}{#1}} +\def\blue#1{\textcolor{blue}{#1}} +\def\black#1{\textcolor{black}{#1}} + + +\newenvironment{lightframe}{\bgroup\setbeamercolor{normal text}% +{bg=blue}\begin{frame}}{\end{frame}\egroup} +\newenvironment{blueframe}{\bgroup\setbeamercolor{normal text}% +{bg=cyan!70!white}\begin{frame}}{\end{frame}\egroup} + +\newsavebox{\hght} % for ddotvec +\newlength{\lngth} + +\def\arr{\ensuremath{\,\rightarrow\,}} % Стрелка вправо +\def\Arr{\ensuremath{\,\Rightarrow\,}} % жирная -//- +\def\aver#1{\bgroup\mathopen{<}#1\mathclose{>}\egroup} +\def\Ang{\mbox{\rm\AA}} % Ангстрем +\def\B#1{\ensuremath{\mathbf{#1}}} +\def\ceil#1{\bgroup\lceil #1\rceil\egroup} +\def\const{\ensuremath{\mathfrak{const}}} +\def\C{\ensuremath{\mathfrak{C}}} +\def\degr{\ensuremath{^\circ}} % Градус +\def\ddotvec#1{ % вторая производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\ddot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dotvec#1{ % Производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\dot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dpartder#1#2{\dfrac{\partial^2 #1}{\partial #2^2}} % вторая частная производная +\def\e{\mathop{\mathrm e}\nolimits} +\renewcommand{\epsilon}{\varepsilon} % Красивый эпсилон +\def\frc#1#2{\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}} % a/b, a выше, b ниже +\def\floor#1{\bgroup\lfloor #1\rfloor\egroup} +\def\frc#1#2{\bgroup\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}\egroup} +\def\F{\ensuremath{\mathop{\mathfrak F}}\nolimits} % Красивая Ф +\def\FT#1{\mathcal{F}\left(#1\right)} +\def\FWHM{\mathrm{FWHM}} +\renewcommand{\ge}{\geqslant} +\def\grad{\mathop{\mathrm{grad}}\nolimits} % Градиент +\def\ind#1{_{\text{\scriptsize #1}}} % Нижний индекс русс. буквами +\def\indfrac#1#2{\raisebox{2pt}{$\frac{\mbox{\small $#1$}}{\mbox{\small $#2$}}$}} +\def\I{\ensuremath{\mathfrak{I}}} % Интеграл +\def\IFT#1{\mathcal{F}^{-1}\left(#1\right)} % Обратное ФП +\def\IInt{\mathop{{\int\!\!\!\int}}\limits} % Двойной большой интеграл +\def\ILT#1{\mathop{\mathfrak{L}}\nolimits^{-1}\left(#1\right)} % Обратное преобр. Лапласа +\def\Int{\int\limits} +\def\Infint{\int\limits_{-\infty}^\infty} +\def\IZT#1{\mathop{\mathcal{Z}}\nolimits^{-1}\left(#1\right)} % Обратное Z-преобразование +\renewcommand{\kappa}{\varkappa} % Красивая каппа +\renewcommand{\le}{\leqslant} % Меньше или равно +\def\ltextarrow#1{\ensuremath{\stackrel{#1}\leftarrow}} % Стрелка влево с подписью сверху +\def\lvec{\overrightarrow} % Длинный вектор +\def\LT#1{\mathop{\mathfrak{L}}\nolimits\left(#1\right)} % Преобразование Лапласа +\def\mean#1{\overline{#1}} +\def\med{\mathop{\mathrm{med}}\nolimits} +\def\moda{\mathop{\mathrm{Mo}}\nolimits} +\def\Oint{\oint\limits} % Большой интеграл +\def\partder#1#2{\dfrac{\partial #1}{\partial #2}} +\renewcommand{\phi}{\varphi} % Красивая фи +\def\rev#1{\frac{1}{#1}} % Обратная величина +\def\rot{\mathop{\mathrm{rot}}\nolimits} % Ротор +\def\rtextarrow#1{\ensuremath{\stackrel{#1}\rightarrow}} % Стрелка вправо с подписью +\def\R{\ensuremath{\mathbb{R}}} % рациональные числа +\def\so{\ensuremath{\Longrightarrow}\xspace} % следовательно +\def\sinc{\mathop{\mathrm{sinc}}\nolimits} % Интегральный синус +\def\SNR{\mathop{\mathrm{SNR}}\nolimits} +\def\Sum{\sum\limits} +\def\Tr{\mathop{\mathrm{Tr}}\nolimits} % След матрицы +\def\veci{{\vec\imath}} % i-орт +\def\vecj{{\vec\jmath}} % j-орт +\def\veck{{\vec{k}}} % k-орт +\def\when#1{\ensuremath{\Bigr|_{#1}}} % Верт. линия с нижним индексом +\def\WT#1{\ensuremath{\mathop{\mathrm{WT}\left(#1\strut\right)}}} % вейвлет-преобразование +\def\ZT#1{\mathop{\mathcal{Z}}\nolimits\left(#1\right)} % Z-преобразование + + +\long\def\cols#1{\begin{columns}#1\end{columns}} +\def\col#1{\column{#1\textwidth}} diff --git a/Astroschool_lect_2022/02-detectors/pic/9705165.pdf b/Astroschool_lect_2022/02-detectors/pic/9705165.pdf new file mode 100644 index 0000000..015b0c4 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/9705165.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Apogee_linearity.png b/Astroschool_lect_2022/02-detectors/pic/Apogee_linearity.png new file mode 100644 index 0000000..d6a01bd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Apogee_linearity.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Astrosat.png b/Astroschool_lect_2022/02-detectors/pic/Astrosat.png new file mode 100644 index 0000000..47c5048 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Astrosat.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Bolometer_conceptual_schematic.pdf b/Astroschool_lect_2022/02-detectors/pic/Bolometer_conceptual_schematic.pdf new file mode 100644 index 0000000..72a76b3 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Bolometer_conceptual_schematic.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/CCD-VS-CMOS.jpg b/Astroschool_lect_2022/02-detectors/pic/CCD-VS-CMOS.jpg new file mode 100644 index 0000000..ea801e1 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/CCD-VS-CMOS.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Dunhuang_star.jpg b/Astroschool_lect_2022/02-detectors/pic/Dunhuang_star.jpg new file mode 100644 index 0000000..9feb4e5 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Dunhuang_star.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/EM_Spectrum.png b/Astroschool_lect_2022/02-detectors/pic/EM_Spectrum.png new file mode 100644 index 0000000..67ba3a7 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/EM_Spectrum.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Gen3-Image-Tube.jpg b/Astroschool_lect_2022/02-detectors/pic/Gen3-Image-Tube.jpg new file mode 100644 index 0000000..4044102 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Gen3-Image-Tube.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/HERSCHELS.jpg b/Astroschool_lect_2022/02-detectors/pic/HERSCHELS.jpg new file mode 100644 index 0000000..554a8fe Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/HERSCHELS.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/HST.jpg b/Astroschool_lect_2022/02-detectors/pic/HST.jpg new file mode 100644 index 0000000..7ff31fc Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/HST.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/HgCdTe_ULBcam.jpg b/Astroschool_lect_2022/02-detectors/pic/HgCdTe_ULBcam.jpg new file mode 100644 index 0000000..ad33a49 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/HgCdTe_ULBcam.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/IR_atm.jpg b/Astroschool_lect_2022/02-detectors/pic/IR_atm.jpg new file mode 100644 index 0000000..ee41b78 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/IR_atm.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/ISO6speedMethod.png b/Astroschool_lect_2022/02-detectors/pic/ISO6speedMethod.png new file mode 100644 index 0000000..9a033ed Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/ISO6speedMethod.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Image_intensifier_diagram.png b/Astroschool_lect_2022/02-detectors/pic/Image_intensifier_diagram.png new file mode 100644 index 0000000..0450ed5 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Image_intensifier_diagram.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Josephson.jpg b/Astroschool_lect_2022/02-detectors/pic/Josephson.jpg new file mode 100644 index 0000000..7c959cd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Josephson.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Kodak_dark.png b/Astroschool_lect_2022/02-detectors/pic/Kodak_dark.png new file mode 100644 index 0000000..0696613 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Kodak_dark.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/M51.jpg b/Astroschool_lect_2022/02-detectors/pic/M51.jpg new file mode 100644 index 0000000..7340111 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/M51.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/MCP.png b/Astroschool_lect_2022/02-detectors/pic/MCP.png new file mode 100644 index 0000000..2a69958 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/MCP.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/MWA-Observatories.jpg b/Astroschool_lect_2022/02-detectors/pic/MWA-Observatories.jpg new file mode 100644 index 0000000..9afe68f Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/MWA-Observatories.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/MWA-whirlpool-galaxy.jpg b/Astroschool_lect_2022/02-detectors/pic/MWA-whirlpool-galaxy.jpg new file mode 100644 index 0000000..37018bc Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/MWA-whirlpool-galaxy.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/NIST_Tungsten_Transition_Edge_Sensor.png b/Astroschool_lect_2022/02-detectors/pic/NIST_Tungsten_Transition_Edge_Sensor.png new file mode 100644 index 0000000..2e99be7 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/NIST_Tungsten_Transition_Edge_Sensor.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Nieps.png b/Astroschool_lect_2022/02-detectors/pic/Nieps.png new file mode 100644 index 0000000..4105a7e Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Nieps.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/OTCCD.png b/Astroschool_lect_2022/02-detectors/pic/OTCCD.png new file mode 100644 index 0000000..90e2d76 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/OTCCD.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/OTccd_.png b/Astroschool_lect_2022/02-detectors/pic/OTccd_.png new file mode 100644 index 0000000..ff464c4 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/OTccd_.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Observatories_across_spectrum_labeled_full.jpg b/Astroschool_lect_2022/02-detectors/pic/Observatories_across_spectrum_labeled_full.jpg new file mode 100644 index 0000000..7d6432c Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Observatories_across_spectrum_labeled_full.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Orion-Nebula_A_A_Common.jpg b/Astroschool_lect_2022/02-detectors/pic/Orion-Nebula_A_A_Common.jpg new file mode 100644 index 0000000..24f85f6 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Orion-Nebula_A_A_Common.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Orthicon.pdf b/Astroschool_lect_2022/02-detectors/pic/Orthicon.pdf new file mode 100644 index 0000000..eb91c0a Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Orthicon.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/PINPSD.pdf b/Astroschool_lect_2022/02-detectors/pic/PINPSD.pdf new file mode 100644 index 0000000..6afadbe Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/PINPSD.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/PINPSD.svg b/Astroschool_lect_2022/02-detectors/pic/PINPSD.svg new file mode 100644 index 0000000..0f9619c --- /dev/null +++ b/Astroschool_lect_2022/02-detectors/pic/PINPSD.svg @@ -0,0 +1,52 @@ + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + X + Y + + a + b + c + d + ь╔ь╤ь╖ь║ь╘ь╖ы└ь╔ь╤ь╖ь║ь╘ь╖ы└ь╔ь╤ь╖ь║ь╘ь╖ы└ь╔ь╤ь╖ь║ь╘iluminaц╖цёoilluminationBeleuchtungPealelangev valgusц╘clairageBeleuchtung + + + S + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.pdf b/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.pdf new file mode 100644 index 0000000..d20d928 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.svg b/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.svg new file mode 100644 index 0000000..d60df3a --- /dev/null +++ b/Astroschool_lect_2022/02-detectors/pic/PSDmatrix.svg @@ -0,0 +1,130 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + X + + + + Y + + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 0 + 0 + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/02-detectors/pic/PhotoMultiplierTubeAndScintillator.jpg b/Astroschool_lect_2022/02-detectors/pic/PhotoMultiplierTubeAndScintillator.jpg new file mode 100644 index 0000000..ad67c74 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/PhotoMultiplierTubeAndScintillator.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/PhotovoltaicEffect.png b/Astroschool_lect_2022/02-detectors/pic/PhotovoltaicEffect.png new file mode 100644 index 0000000..628a192 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/PhotovoltaicEffect.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/QE_PTGrey.jpg b/Astroschool_lect_2022/02-detectors/pic/QE_PTGrey.jpg new file mode 100644 index 0000000..10bc090 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/QE_PTGrey.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/SDSSFaceplate.png b/Astroschool_lect_2022/02-detectors/pic/SDSSFaceplate.png new file mode 100644 index 0000000..f917eb5 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/SDSSFaceplate.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/SOFIA.jpg b/Astroschool_lect_2022/02-detectors/pic/SOFIA.jpg new file mode 100644 index 0000000..50b6c3a Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/SOFIA.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/SWIFT.png b/Astroschool_lect_2022/02-detectors/pic/SWIFT.png new file mode 100644 index 0000000..7ff69ff Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/SWIFT.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/SiPMpe.png b/Astroschool_lect_2022/02-detectors/pic/SiPMpe.png new file mode 100644 index 0000000..6ec07f0 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/SiPMpe.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.pdf b/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.pdf new file mode 100644 index 0000000..55bbe0d Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.svg b/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.svg new file mode 100644 index 0000000..8e3e3c9 --- /dev/null +++ b/Astroschool_lect_2022/02-detectors/pic/Spectre_absorption_des_cones.svg @@ -0,0 +1,89 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 400 + 500 + 600 + 700 + + + + + + + + + + + + + + 437 + + + + 498 + + + + 533 + + + + 564 + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/02-detectors/pic/TauOphPicsD.png b/Astroschool_lect_2022/02-detectors/pic/TauOphPicsD.png new file mode 100644 index 0000000..20dbc5b Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/TauOphPicsD.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/VISTA.jpg b/Astroschool_lect_2022/02-detectors/pic/VISTA.jpg new file mode 100644 index 0000000..f6812a2 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/VISTA.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/WSA.png b/Astroschool_lect_2022/02-detectors/pic/WSA.png new file mode 100644 index 0000000..b1d4283 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/WSA.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Wheatstonebridge.pdf b/Astroschool_lect_2022/02-detectors/pic/Wheatstonebridge.pdf new file mode 100644 index 0000000..4019cc9 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Wheatstonebridge.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/Zeebek.pdf b/Astroschool_lect_2022/02-detectors/pic/Zeebek.pdf new file mode 100644 index 0000000..1049755 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/Zeebek.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/allwavesky.png b/Astroschool_lect_2022/02-detectors/pic/allwavesky.png new file mode 100644 index 0000000..d837930 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/allwavesky.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/annie_jump_cannon_with_plate.jpg b/Astroschool_lect_2022/02-detectors/pic/annie_jump_cannon_with_plate.jpg new file mode 100644 index 0000000..99c7805 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/annie_jump_cannon_with_plate.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/atm_trans.jpg b/Astroschool_lect_2022/02-detectors/pic/atm_trans.jpg new file mode 100644 index 0000000..d45c951 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/atm_trans.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/bloomingfigure4.jpg b/Astroschool_lect_2022/02-detectors/pic/bloomingfigure4.jpg new file mode 100644 index 0000000..19f6c82 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/bloomingfigure4.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/ccdanatomy.jpg b/Astroschool_lect_2022/02-detectors/pic/ccdanatomy.jpg new file mode 100644 index 0000000..6584c75 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/ccdanatomy.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/ccdintro.jpg b/Astroschool_lect_2022/02-detectors/pic/ccdintro.jpg new file mode 100644 index 0000000..ff1efc3 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/ccdintro.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/cds.pdf b/Astroschool_lect_2022/02-detectors/pic/cds.pdf new file mode 100644 index 0000000..eaa2fbd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/cds.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/chopnod.png b/Astroschool_lect_2022/02-detectors/pic/chopnod.png new file mode 100644 index 0000000..bd5902a Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/chopnod.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/detector_wavelengths.jpg b/Astroschool_lect_2022/02-detectors/pic/detector_wavelengths.jpg new file mode 100644 index 0000000..7c05d56 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/detector_wavelengths.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/digitalimagingfigure2.jpg b/Astroschool_lect_2022/02-detectors/pic/digitalimagingfigure2.jpg new file mode 100644 index 0000000..81d9245 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/digitalimagingfigure2.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/eye-anatomy.jpg b/Astroschool_lect_2022/02-detectors/pic/eye-anatomy.jpg new file mode 100644 index 0000000..2509cc0 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/eye-anatomy.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/focal_reducer.png b/Astroschool_lect_2022/02-detectors/pic/focal_reducer.png new file mode 100644 index 0000000..963acbd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/focal_reducer.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/frame_transfer_CCD.jpg b/Astroschool_lect_2022/02-detectors/pic/frame_transfer_CCD.jpg new file mode 100644 index 0000000..076588f Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/frame_transfer_CCD.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/galileo_planets.jpg b/Astroschool_lect_2022/02-detectors/pic/galileo_planets.jpg new file mode 100644 index 0000000..ca544e4 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/galileo_planets.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/galileojupiter.png b/Astroschool_lect_2022/02-detectors/pic/galileojupiter.png new file mode 100644 index 0000000..75eb923 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/galileojupiter.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/hawlcc.png b/Astroschool_lect_2022/02-detectors/pic/hawlcc.png new file mode 100644 index 0000000..2e23f71 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/hawlcc.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/hawqe.png b/Astroschool_lect_2022/02-detectors/pic/hawqe.png new file mode 100644 index 0000000..d605ef5 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/hawqe.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/herschel.png b/Astroschool_lect_2022/02-detectors/pic/herschel.png new file mode 100644 index 0000000..b493d4d Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/herschel.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/hgcdte1.png b/Astroschool_lect_2022/02-detectors/pic/hgcdte1.png new file mode 100644 index 0000000..745f921 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/hgcdte1.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/hgcdte2.jpg b/Astroschool_lect_2022/02-detectors/pic/hgcdte2.jpg new file mode 100644 index 0000000..356cd1f Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/hgcdte2.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/hgcdte3.png b/Astroschool_lect_2022/02-detectors/pic/hgcdte3.png new file mode 100644 index 0000000..b3da236 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/hgcdte3.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/humaneye.jpg b/Astroschool_lect_2022/02-detectors/pic/humaneye.jpg new file mode 100644 index 0000000..1a27c7c Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/humaneye.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/inside-photo-effect.png b/Astroschool_lect_2022/02-detectors/pic/inside-photo-effect.png new file mode 100644 index 0000000..7c8e062 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/inside-photo-effect.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/irdark.pdf b/Astroschool_lect_2022/02-detectors/pic/irdark.pdf new file mode 100644 index 0000000..dde90a7 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/irdark.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/irdemob.png b/Astroschool_lect_2022/02-detectors/pic/irdemob.png new file mode 100644 index 0000000..3ea07fd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/irdemob.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/irframe.pdf b/Astroschool_lect_2022/02-detectors/pic/irframe.pdf new file mode 100644 index 0000000..615bb18 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/irframe.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/irsky.pdf b/Astroschool_lect_2022/02-detectors/pic/irsky.pdf new file mode 100644 index 0000000..90be290 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/irsky.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/largest_scopes.jpg b/Astroschool_lect_2022/02-detectors/pic/largest_scopes.jpg new file mode 100644 index 0000000..043e5f2 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/largest_scopes.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/light_pollution.jpg b/Astroschool_lect_2022/02-detectors/pic/light_pollution.jpg new file mode 100644 index 0000000..456abe3 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/light_pollution.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/lpchange.png b/Astroschool_lect_2022/02-detectors/pic/lpchange.png new file mode 100644 index 0000000..659965d Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/lpchange.png differ diff --git a/Astroschool_lect_2022/02-detectors/pic/moorelaw.pdf b/Astroschool_lect_2022/02-detectors/pic/moorelaw.pdf new file mode 100644 index 0000000..1274cb6 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/moorelaw.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/multiwave_galaxy.jpg b/Astroschool_lect_2022/02-detectors/pic/multiwave_galaxy.jpg new file mode 100644 index 0000000..6a93fab Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/multiwave_galaxy.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/nondestr.pdf b/Astroschool_lect_2022/02-detectors/pic/nondestr.pdf new file mode 100644 index 0000000..3c516c8 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/nondestr.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/pic/quantumefficiencyfigure1.jpg b/Astroschool_lect_2022/02-detectors/pic/quantumefficiencyfigure1.jpg new file mode 100644 index 0000000..c52c96c Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/quantumefficiencyfigure1.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/saturn-lassel.jpg b/Astroschool_lect_2022/02-detectors/pic/saturn-lassel.jpg new file mode 100644 index 0000000..2c8d077 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/saturn-lassel.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/schr_sspot.jpg b/Astroschool_lect_2022/02-detectors/pic/schr_sspot.jpg new file mode 100644 index 0000000..8f6c32b Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/schr_sspot.jpg differ diff --git a/Astroschool_lect_2022/02-detectors/pic/siPM.png b/Astroschool_lect_2022/02-detectors/pic/siPM.png new file mode 100644 index 0000000..c1553da Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/pic/siPM.png differ diff --git a/Astroschool_lect_2022/02-detectors/saologo.pdf b/Astroschool_lect_2022/02-detectors/saologo.pdf new file mode 100644 index 0000000..95f7013 Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/saologo.pdf differ diff --git a/Astroschool_lect_2022/02-detectors/traektory_AFSH.pdf b/Astroschool_lect_2022/02-detectors/traektory_AFSH.pdf new file mode 100644 index 0000000..01280bd Binary files /dev/null and b/Astroschool_lect_2022/02-detectors/traektory_AFSH.pdf differ diff --git a/Astroschool_lect_2022/03-optics/lect.sty b/Astroschool_lect_2022/03-optics/lect.sty new file mode 100644 index 0000000..f6363d3 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/lect.sty @@ -0,0 +1,142 @@ +\usepackage[T2A]{fontenc} %поддержка кириллицы +\usepackage[koi8-r]{inputenc} +\usepackage[english,russian]{babel} +\usepackage{xspace} +\usepackage{array} +%\usepackage[intlimits]{amsmath} + +\renewcommand{\arraystretch}{1.2} +\def\No{\textnumero} + +\graphicspath{{./pic/}} +\usetheme{Boadilla} +\usefonttheme{structurebold} +\usefonttheme[onlymath]{serif} +\setbeamercovered{transparent} + +\newenvironment{pict}% + {\begin{figure}[!h]\begin{center}\noindent}% + {\end{center}\end{figure}} + +\setbeamercolor{color1}{bg=blue!50!black,fg=white} +\setbeamercolor{normal text}{bg=blue!20!black,fg=cyan!70!white} +\setbeamercolor{frametitle}{fg=red,bg=blue!40!black} +\setbeamercolor{title}{fg=red,bg=blue!40!black} +\setbeamercolor{block title}{fg=cyan,bg=blue!40!black} +\setbeamercolor{bluefrm}{fg=black,bg=cyan} +\newenvironment{defin}{\begin{beamercolorbox}[shadow=true, rounded=true]{color1}}% +{\end{beamercolorbox}} +\newcommand{\graph}[2][]{\includegraphics[width=#1\columnwidth]{#2}} +\newcommand{\img}[2][]{\begin{pict}\includegraphics[width=#1\columnwidth]{#2}\end{pict}} +\newcommand{\smimg}[2][]{\includegraphics[width=#1\columnwidth]{#2}} + +\newcommand{\blueimg}[2][1]{\begin{beamercolorbox}{bluefrm}{} +\img[#1]{#2}\end{beamercolorbox}} + +\logo{\includegraphics[height=1cm,keepaspectratio]{traektory_AFSH}\hspace{2em}% + \includegraphics[height=1cm,keepaspectratio]{saologo.pdf}} + +\def\daterussian{ % fix for iюня and iюля + \def\today{\number\day~\ifcase\month\or + \cyrya\cyrn\cyrv\cyra\cyrr\cyrya\or + \cyrf\cyre\cyrv\cyrr\cyra\cyrl\cyrya\or + \cyrm\cyra\cyrr\cyrt\cyra\or + \cyra\cyrp\cyrr\cyre\cyrl\cyrya\or + \cyrm\cyra\cyrya\or + \cyri\cyryu\cyrn\cyrya\or + \cyri\cyryu\cyrl\cyrya\or + \cyra\cyrv\cyrg\cyru\cyrs\cyrt\cyra\or + \cyrs\cyre\cyrn\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyro\cyrk\cyrt\cyrya\cyrb\cyrr\cyrya\or + \cyrn\cyro\cyrya\cyrb\cyrr\cyrya\or + \cyrd\cyre\cyrk\cyra\cyrb\cyrr\cyrya\fi + \space \number\year~\cyrg.}} + +\author[Емельянов Э.В.]{Емельянов Эдуард Владимирович} +\institute[САО РАН]{Специальная астрофизическая обсерватория РАН\\ + {\tiny Лаборатория физики оптических транзиентов}\\ +} + +\def\ж{\bf} +\def\т{\tt} +\def\н{\normalfont} +\def\к{\it} +\def\t#1{\texttt{#1}} +\def\bi{\bfseries\itshape} % Жирный курсив +\def\red#1{\textcolor{red}{#1}} +\def\green#1{\textcolor{green}{#1}} +\def\blue#1{\textcolor{blue}{#1}} +\def\black#1{\textcolor{black}{#1}} + + +\newenvironment{lightframe}{\bgroup\setbeamercolor{normal text}% +{bg=blue}\begin{frame}}{\end{frame}\egroup} +\newenvironment{blueframe}{\bgroup\setbeamercolor{normal text}% +{bg=cyan!70!white}\begin{frame}}{\end{frame}\egroup} + +\newsavebox{\hght} % for ddotvec +\newlength{\lngth} + +\def\arr{\ensuremath{\,\rightarrow\,}} % Стрелка вправо +\def\Arr{\ensuremath{\,\Rightarrow\,}} % жирная -//- +\def\aver#1{\bgroup\mathopen{<}#1\mathclose{>}\egroup} +\def\Ang{\mbox{\rm\AA}} % Ангстрем +\def\B#1{\ensuremath{\mathbf{#1}}} +\def\ceil#1{\bgroup\lceil #1\rceil\egroup} +\def\const{\ensuremath{\mathfrak{const}}} +\def\C{\ensuremath{\mathfrak{C}}} +\def\degr{\ensuremath{^\circ}} % Градус +\def\ddotvec#1{ % вторая производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\ddot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dotvec#1{ % Производная вектора по времени + \savebox{\hght}{$\vec{#1}$}\dot{\raisebox{0pt}[.8\ht\hght]{$\vec{#1}$}}} +\def\dpartder#1#2{\dfrac{\partial^2 #1}{\partial #2^2}} % вторая частная производная +\def\e{\mathop{\mathrm e}\nolimits} +\renewcommand{\epsilon}{\varepsilon} % Красивый эпсилон +\def\frc#1#2{\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}} % a/b, a выше, b ниже +\def\floor#1{\bgroup\lfloor #1\rfloor\egroup} +\def\frc#1#2{\bgroup\raisebox{2pt}{$#1$}\big/\raisebox{-3pt}{$#2$}\egroup} +\def\F{\ensuremath{\mathop{\mathfrak F}}\nolimits} % Красивая Ф +\def\FT#1{\mathcal{F}\left(#1\right)} +\def\FWHM{\mathrm{FWHM}} +\renewcommand{\ge}{\geqslant} +\def\grad{\mathop{\mathrm{grad}}\nolimits} % Градиент +\def\ind#1{_{\text{\scriptsize #1}}} % Нижний индекс русс. буквами +\def\indfrac#1#2{\raisebox{2pt}{$\frac{\mbox{\small $#1$}}{\mbox{\small $#2$}}$}} +\def\I{\ensuremath{\mathfrak{I}}} % Интеграл +\def\IFT#1{\mathcal{F}^{-1}\left(#1\right)} % Обратное ФП +\def\IInt{\mathop{{\int\!\!\!\int}}\limits} % Двойной большой интеграл +\def\ILT#1{\mathop{\mathfrak{L}}\nolimits^{-1}\left(#1\right)} % Обратное преобр. Лапласа +\def\Int{\int\limits} +\def\Infint{\int\limits_{-\infty}^\infty} +\def\IZT#1{\mathop{\mathcal{Z}}\nolimits^{-1}\left(#1\right)} % Обратное Z-преобразование +\renewcommand{\kappa}{\varkappa} % Красивая каппа +\renewcommand{\le}{\leqslant} % Меньше или равно +\def\ltextarrow#1{\ensuremath{\stackrel{#1}\leftarrow}} % Стрелка влево с подписью сверху +\def\lvec{\overrightarrow} % Длинный вектор +\def\LT#1{\mathop{\mathfrak{L}}\nolimits\left(#1\right)} % Преобразование Лапласа +\def\mean#1{\overline{#1}} +\def\med{\mathop{\mathrm{med}}\nolimits} +\def\moda{\mathop{\mathrm{Mo}}\nolimits} +\def\Oint{\oint\limits} % Большой интеграл +\def\partder#1#2{\dfrac{\partial #1}{\partial #2}} +\renewcommand{\phi}{\varphi} % Красивая фи +\def\rev#1{\frac{1}{#1}} % Обратная величина +\def\rot{\mathop{\mathrm{rot}}\nolimits} % Ротор +\def\rtextarrow#1{\ensuremath{\stackrel{#1}\rightarrow}} % Стрелка вправо с подписью +\def\R{\ensuremath{\mathbb{R}}} % рациональные числа +\def\so{\ensuremath{\Longrightarrow}\xspace} % следовательно +\def\sinc{\mathop{\mathrm{sinc}}\nolimits} % Интегральный синус +\def\SNR{\mathop{\mathrm{SNR}}\nolimits} +\def\Sum{\sum\limits} +\def\Tr{\mathop{\mathrm{Tr}}\nolimits} % След матрицы +\def\veci{{\vec\imath}} % i-орт +\def\vecj{{\vec\jmath}} % j-орт +\def\veck{{\vec{k}}} % k-орт +\def\when#1{\ensuremath{\Bigr|_{#1}}} % Верт. линия с нижним индексом +\def\WT#1{\ensuremath{\mathop{\mathrm{WT}\left(#1\strut\right)}}} % вейвлет-преобразование +\def\ZT#1{\mathop{\mathcal{Z}}\nolimits\left(#1\right)} % Z-преобразование + + +\long\def\cols#1{\begin{columns}#1\end{columns}} +\def\col#1{\column{#1\textwidth}} diff --git a/Astroschool_lect_2022/03-optics/optinfo.pdf b/Astroschool_lect_2022/03-optics/optinfo.pdf new file mode 100644 index 0000000..84ee8c3 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/optinfo.pdf differ diff --git a/Astroschool_lect_2022/03-optics/optinfo.tex b/Astroschool_lect_2022/03-optics/optinfo.tex new file mode 100644 index 0000000..6e79cb4 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/optinfo.tex @@ -0,0 +1,423 @@ +\documentclass[10pt,pdf,hyperref={unicode},aspectratio=169]{beamer} +\hypersetup{pdfpagemode=FullScreen} +\usepackage{lect} + +\title{Регистрация излучения и информация, в нем содержащаяся} +\date{8~апреля 2022~года} + +\begin{document} +% Титул +\bgroup\setbeamercolor{normal text}{bg=black} +\begin{frame} +\maketitle +\end{frame}\egroup\logo{} +% Содержание +\begin{frame} +\tableofcontents +\end{frame} + +\section{<<Декомпозиция>> излучения: 3D, 4D данные} +\begin{frame}{<<Декомпозиция>> излучения: 3D, 4D данные} +\only<1>{\cols{\col{0.3}\begin{block}{} +Излучение: 4 степени свободы (координаты на изображении, частота, время). +3D data cubes (FITS-files): слайсы по времени (быстропеременные объекты, lucky images, +speckle\dots) или по частоте (VPHG, IFP, средне- и широкополосные фильтры). +\end{block}\col{0.65}\img{lucky_stack}}} +\only<2>{\img{speckleflow}} +\only<3>{\cols{\col{0.37}\vspace*{-1em}\img[0.85]{IFPstack}\col{0.57}\img{VPHGstack}}} +\end{frame} + +\section{Диспергирующие системы} +\begin{frame}{Диспергирующие системы: призмы} +\vspace*{-1em} +\only<1>{\img[0.55]{Fraunhofer_spectroscope}\vspace*{-0.8em} + 1814, спектроскоп Йозефа фон Фраунгофера} +\only<2>{\img[0.75]{prism_spectrometer}} +\only<3>{\img[0.7]{prism_spectrometer_sch}} +\only<4>{\img[0.85]{prism_monochr}} +\end{frame} + +\begin{frame}{} +\begin{block}{} + 1872, первый спектр Веги на фотопластинке. С 1918 по 1924~г. вышел каталог HD в честь Дрэпера + (изначально 225300 звезд, Эдвард Пикеринг сотоварищи, наблюдения в гарвардской обсерватории с + объективной призмой). +\end{block} +\img{Drapers_spectra} +\end{frame} + +\begin{frame}{Бесщелевые спектры}\vspace*{-0.8em} +\only<1>{Николас Мейол, 1930-е. +\img[0.94]{slitless_schematic}} +\only<2>{\img[0.88]{slitless}} +\end{frame} + +\begin{frame}{Дифракционная решетка}\vspace*{-0.8em} +\only<1>{\img[0.6]{Fraunhofer_grating}\vspace*{-0.8em}Нитяная решетка Фраунгофера} +\only<2>{\img[0.75]{Diffraction_Grating_Equation}} +\only<3>{\img[0.67]{diffraction_image006}} +\only<4>{\img[0.85]{Large_Diffraction_grating}} +\only<5>{\img[0.8]{Czerny-turner_monochr}Монохроматор Черни--Т\"ернера} +\only<6>{\img[0.52]{Fastie-Ebert_Monochromator}\vspace*{-0.8em} Монохроматор Фасти--Эберта} +\end{frame} + +\begin{frame}{Длиннощелевые спектры}\vspace*{-0.8em} +\only<1>{\img[0.4]{slit_spectr}} +\only<2>{\img[0.6]{gmoslongslit_galaxy}} +\only<3>{\img{gmoslongslit_galext}} +\end{frame} + +\begin{frame}{Integral field spectrograph}\vspace*{-0.7em} +\only<1>{\img[0.8]{integral_field_spectr_designs}} +\only<2>{\img[0.6]{Hectospec_focal_plane}\vspace*{-0.8em} + Hectospec --- сложный спектрограф 6.5-м телескопа MMT} +\only<3>{\img[0.65]{ifs_data_cube}} +\end{frame} + +\begin{frame}{Эшелле--спектрограф}\vspace*{-0.7em} +\only<1>{\cols{\col{0.47}\begin{block}{}Конфигурация Литтрова синим.\\ +Угол блеска $\theta_B>45\degr$.\end{block} +\col{0.47}\begin{block}{}$$\theta _{B}=\arcsin\frac{m\lambda}{2d}.$$\end{block}} +\img[0.52]{Blazed_grating}} +\only<2>{\img[0.7]{Echelle_dispersion}} +\only<3>{\img[0.7]{echelle_inst}} +\only<4>{\img[0.7]{echelle_spect}} +\end{frame} + +\begin{frame}{Гризма}\vspace*{-0.7em} +\only<1>{\img[0.7]{grism_light}} +\only<2>{\img{FOCAS_grisms}\vspace*{-0.7em} + Набор гризм The Faint Object Camera and Spectrograph (FOCAS Subaru).} +\only<3>{\img[0.65]{FOCAS_subaru}} +\only<4>{\img[0.67]{Grism1}} +\only<5>{\img[0.67]{Grism2}} +\end{frame} + +\begin{frame}{VPHG}\vspace*{-0.7em} +\only<1>{\img[0.57]{VPHG_ex}} +\only<2>{\cols{\col{0.27}\begin{block}{} +$$Q=\frac{2\pi\lambda d}{n_g\Lambda^2\cos\alpha}.$$ +$$\frac{d\theta}{d\lambda}=\frac{m}{\Lambda\cos\theta}.$$ +The phase grating is called "thin" for Q < 1 and "thick" for Q > 10. +\end{block}\col{0.7}\img{VPGfig2}}} +\only<3>{\img[0.6]{VPHG}} +\only<4>{\img[0.7]{VP_HolographicGratings_eff_vs_wavelength3}} +\end{frame} + +\begin{frame}{Интерферометр Фабри--Перо}\vspace*{-0.8em} +\only<1>{\img[0.6]{ifp_theor}} +\only<2>{\cols{\col{0.65}\begin{block}{}Кубы данных при сканировании ИФП. +А.В.~Моисеев\footnote{\url{https://www.sao.ru/hq/lsfvo/devices/scorpio/scorpio.html}}. +\end{block}\vspace*{-0.8em} +\img[0.7]{ifp_theor2}\col{0.25}\img{IFP_datacube}}} +\end{frame} + +\begin{frame}{Калибровки}\vspace*{-0.8em} +\only<1>{\blueimg{Integr_sphere_principle}} +\only<2>{\img[0.45]{Commercial_Integrating_Sphere}} +\only<3>{\img[0.75]{ar_ne600}} +\only<4>{Th/Ar\vspace*{-1.5em}\img[0.5]{thorium}} +\end{frame} + +\section{Поляризация и анализаторы поляризации} +\begin{blueframe}{Поляризация}\vspace*{-0.8em} +\begin{block}{}$I=k_{a}I_{0}\cos^{2}\varphi$. 1810, Этьен Луи Малюс "--- количественная +корпускулярная теория поляризации света. 1821, Френель "--- волновая теория поляризации. +\end{block} +\only<1>{\img{Electromagnetic_wave}} +\only<2>{\img[0.6]{Malus_law-ru}} +\end{blueframe} + +\begin{frame}{Параметры Стокса} +\only<1>{\vspace*{-0.7em}\begin{block}{} +\cols{\col{0.35}$$\begin{aligned} +S_0&=I=E_{a}^2+E_{b}^2\\ +S_1&=Q=I\cos2\psi\cos2\chi\\ +S_2&=U=I\sin2\psi\cos2\chi\\ +S_3&=V=I\sin2\chi +\end{aligned}$$\col{0.65} +$E_a$, $E_b$~-- большая и малая полуоси поляризационного эллипса, $\psi$~-- угол поворота +поляризационного эллипса относительно произвольной лабораторной системы координат, $\chi$~-- +вспомогательный угол, определяемый из условия $\tg\chi=E_a/E_b$.}\end{block} +\vspace*{-0.7em}\cols{\col{0.5}\begin{block}{} +Три независимых параметра: $I^2=Q^2+U^2+V^2$. +Пусть $E_1$ и $E_2$~-- ортогональные проекции~$\vec{E}$, $\delta$~-- разность фаз в проекциях. +Тогда: +$$\begin{aligned} +S_0&=I=E_1^2 + E_2^2\\ +S_1&=Q=E_1^2 - E_2^2\\ +S_2&=U=2 E_1 E_2\cos\delta\\ +S_3&=V=2 E_1 E_2\sin\delta +\end{aligned}$$ +\end{block} +\col{0.4}\img{Polarization_ellipse}}} +\only<2>{\begin{block}{} +Вращаем поляризатор на 0, 60 и 120 градусов, вычисляем параметры Стокса.\\ +Две волны, линейно поляризованные под прямым углом друг к другу, не интерферируют! +\end{block} +\img{stokes_calc}} +\end{frame} + +\begin{frame}{Угол Брюстера}\vspace*{-0.8em} +\only<1>{$$\tg\theta_B=n,\quad\text{угол падения $\theta_B$}$$ +\blueimg[0.6]{Brewster_window}} +\only<2>{\img[0.9]{brewster_polarizer_small}} +\end{frame} + +\begin{blueframe}{Двойное лучепреломление}\vspace*{-0.8em} +\only<1>{\begin{block}{} +1969, Расмус Бартолин, кристалл исландского шпата. $\Delta n=n_{e}-n_{o}$. +\end{block} +\img[0.45]{Positively_birefringent_material}} +\only<2>{\cols{\col{0.67}\img{LCD_layers}\col{0.3} +\begin{block}{} + 1,5~-- поляризаторы,\\ + 2,4~-- прозрачные электроды,\\ + 3~-- ЖК (оптически активное вещество),\\ + 6~-- отражатель или подсветка. +\end{block}}} +\only<3>{\img{Nicol_prism}\black{Призма Николя}} +\only<4>{\img[0.7]{Wollaston-prism}\black{Призма Волластона}} +\end{blueframe} + +\begin{frame}{Волновые пластинки}\vspace*{-0.8em} +\only<1>{\img[0.65]{Waveplate}\vspace*{-0.8em} + Полуволновая пластинка} +\only<2>{\blueimg{CircularPolarization}\vspace*{-0.8em} + Четвертьволновая пластинка} +\end{frame} + +\begin{frame}{Поляризация в астрофизике} +\begin{block}{} +Когерентные источники (гидроксильные или метаноловые мазеры).\\ +Рассеяние на межзвездной пыли.\\ +Вращение плоскости поляризации в магнитных полях (эффект Фарадея).\\ +Поляризация CMB "--- изучение физики ранней Вселенной.\\ +Поляризация синхротронного излучения.\\ +Возможно, астрономические источники повлияли на селекцию хиральности белков и прочих органических +молекул на Земле. +\end{block} +\end{frame} + +\section{Методы астрофизики} +\begin{frame}{Астрофизика} +\begin{defin}\textbf{Астрофизика} "--- раздел астрономии, тесно переплетенный с химией и физикой. +<> (1897, Джеймс Килер). +\vspace{1em} + +Основоположники "--- Вильям Хайд Волластон и Йозеф фон Фраунгофер. + +Сам термин <<астрофизика>> предложен Иоганном Карлом Фридрихом Ц\"eлльнером (известен по точной +фотометрии) в 1865~г. + +Астрофизика делится на наблюдательную и теоретическую, находящиеся в тесной взаимосвязи. +\end{defin} +\end{frame} + + +\section{Фотометрия} +\begin{frame}{Фотометрия}\vspace*{-0.7em} +\begin{block}{Фотометр Ц\"елльнера} + 1861~г. "--- первый фотометр с эталонным источником. Газовая горелка, призмы Волластона, + плоскопараллельная пластинка. +\end{block}\vspace*{-0.7em} +\img{zollner_photometer} +\end{frame} + +\begin{frame} +\frametitle{Область применения фотометрии}\vspace*{-2em} +\begin{columns} + \column{0.35\textwidth} + \begin{block}{} + \begin{itemize} + \item Определение светимости объекта или расстояния до него. + \item Астрометрические задачи. + \item Классификация объекта (и предположение о его свойствах). + \item<2-> Космология: массы и движения галактик. + \item<3-> Определение параметров переменных объектов. + \item<3-> Поиск крупных экзопланет. + \item<4-> Изучение сверхновых. + \end{itemize} + \end{block} + \column{0.62\textwidth} + \begin{pict} + \only<1>{\includegraphics[width=0.65\columnwidth]{HRDiagram}} + \only<2>{\includegraphics[width=0.85\columnwidth]{hubble}} + \only<3>{\includegraphics[width=\columnwidth]{exoplanet}} + \only<4>{\includegraphics[width=\columnwidth]{supernova}} + \end{pict} +\end{columns} +\end{frame} + +\begin{frame}{Фотометрические диапазоны}\vspace*{-0.8em} +\only<1>{\img[0.85]{Filter-optics-1}} +\only<2>{\begin{block}{}Стр\"емгрен, 1960-е гг.: широкополосные; среднеполосные и узкополосные фотометрические системы. +Критерий "--- полуширина: широкополосные $>300\Ang$, узкополосные $<100\Ang$. +\end{block}\img[0.75]{interf_filterIR}} +\only<3>{\img[0.75]{bands}} +\end{frame} + +\section{Спектроскопия} +\begin{frame}{Область применения спектроскопии}\vspace*{-0.8em} + \begin{columns} + \column{0.4\textwidth} + \begin{block}{} + \begin{itemize} + \item Эквивалентные ширины: расстояние до звезд, их возраст, + скорость потери масс и многие другие параметры. + \item Спектрополяриметрия. + \item<2-> Определение химического состава звезд. + \item<3-> Строгая спектральная классификация. + \item<4-> Определение скорости движения объектов. + \item<5-> Космология. + \end{itemize} + \end{block} + + \column{0.57\textwidth} + \begin{pict} + \only<1>{\includegraphics[width=\columnwidth]{equiv_width}} + \only<2>{\includegraphics[width=\columnwidth]{solar_spectra}} + \only<3>{\includegraphics[width=0.7\columnwidth]{SpectralLines}} + \only<4>{\includegraphics[width=\columnwidth]{doppler}} + \only<5>{\includegraphics[width=\columnwidth]{galaxy_doppler}} + \end{pict} + \end{columns} +\end{frame} + +\section{Учет шумов детекторов} +\begin{frame}{Учет шумов детекторов}\vspace*{-0.8em} +\only<1>{\begin{block}{} +Глубокое охлаждение для снижения темнового тока. +\end{block} +\img[0.55]{signaltonoisefigure2}} +\only<2>{\begin{block}{}Попиксельная неоднородность, виньетирование, пыль "--- +калибровка на <<плоское поле>>.\\ +\textbf{Дробовой шум} $N_s=\sqrt{S}$ наиболее существенен при малых интенсивностях, либо увеличить +экспозицию, либо суммировать кадры. Шум считывания (суммировать кадры).\\ +$$SNR=PQ_et/\sqrt{(P+B)Q_et+Dt+N_R^2}$$ +$P$~-- поток (фотонов на пиксель в секунду), $Q_e$~-- квантовая эффективность, $t$~-- время экспозиции, +$B$~-- фон, $D$~-- темновой ток, $N_r$~-- шум считывания. +\end{block} +\img[0.9]{signaltonoisefigure1}} +\only<3>{\begin{block}{} +Шум сброса $N_{reset}=\sqrt{kTC}/q$, $T$~-- температура (К), $C$~-- емкость ячейки (Ф), +$q$~-- накопленный заряд (Кл).\\ +Белый шум $N_{white}=\sqrt{4kT\nu R_{out}}\cdot A_{amp}/S_{amp}$, +$\nu$~-- частота считывания (Гц), $R_{out}$~-- выходное сопротивление усилителя (Ом), +$S$~-- чувствительность усилителя (В/электрон), $A$~-- коэффициент усиления.\\ +Темновой ток: $D = 2.5\cdot10^{15} S I_d T^{1.5} \exp{-E_g/(2kT)}$, +$S$~-- площадь пикселя (см$^2$), $I_d$~-- измеренный на 300\,К темновой ток (нА/см$^2$), +$E_g$~-- ширина запрещенной зоны (эВ). +\end{block}} +\end{frame} + +\begin{frame}{Конвейер обработки данных} +\begin{block}{} +\begin{enumerate} +\item Получение снимка объекта ($O$) и нескольких bias, dark и flat ($b_i$, $d_i$, $f_i$). +\item Медианное усреднение: $X=\med(x)$ \Arr $B$, $D$, $F$. +\item Если экспозиции $D$ и $O$ различаются, получаем <>: $D_m=(D-B)/t_{exp}$. +\item Удаление шумов: $O_{clean}=O-D$, $F_{clean}=F-D$ (или $X-B-D_m\cdot t_{exp}$). +\item Нормирование $F_{clean}$: $F_{norm}=F_{clean}/F_{clean,max}$. +\item Коррекция на <<плоское поле>>: $O_{corr} = O_{clean}/F_{clean}$. +\end{enumerate} +Для спектрофотометрии после экстракции спектра необходимо также выполнить нормировку на <<плоский спектр>>. +\end{block} +\end{frame} + +% наш с Тимуром отчет +\begin{frame}{Определение характеристик новой ПЗС}\vspace*{-0.8em} +\begin{block}{} +\only<1>{\textbf{Электронный ноль} (bias). Снимки bias позволяют определить уровень шума считывания +(RON). Для уменьшения влияния дефектов, используем разности: +$I_{diff}=I_1-I_2.$ Тогда $\sigma{RON}=\sigma{I}/\sqrt{2}$. +} +\only<2>{\textbf{Линейность} получается из линейной аппроксимации зависимости $I=\alpha t$ при получении +<<плоских>> снимков с разной экспозицией. +} +\only<3>{\textbf{Коэффициент усиления} (gain) определяет, сколько ADU будет получено на один фотоэлектрон. +Строим зависимость $\sigma^2_I(\mean{I})$ (дисперсия интенсивности в кадре от ее среднего значения). +Однако, дефекты ПЗС внесут неточность, надежней вычислять разности изображений.\\ +Пусть $I$ и $\sigma^2$~-- средний сигнал в пикселе (после вычитания <<темновых>>) и его дисперсия, +$R^2$, $\sigma^2_{ph}$ и $\sigma^2_{ff}=kI$~-- дисперсии шумов считывания, дробового (фотонного) шума и +неоднородность чувствительности пикселей ПЗС. Тогда общий шум: +$$\sigma^2=R^2+\sigma^2_{ph}+\sigma^2_{ff}=R^2+I+k^2I^2.$$ +$$\sigma^2/g^2=R^2/g^2+I/g+k^2I^2/g^2\quad\text{или}\quad +\sigma^2=R^2+gI+k^2I^2.$$ +Для разности изображений <<исправленный шум>> $\sigma^2=\dfrac{\Sum I_{diff}^2}{2(N-1)}$. Все +вычисления проводим в нескольких участках изображения (не по всему кадру) для усреднения результатов.\\ +Линейная интерполяция зависимости интенсивности от шума дает результирующий $g$. +} +\only<4>{\textbf{Темновой ток} необходимо исследовать на зависимость от времени экспозиции и +температуры.} +\only<5>{\textbf{Квантовая эффективность} определяется в лабораторных условиях: монохроматор и +калиброванный светоприемник.} +\end{block}\vspace*{-0.8em} +\only<1>{\img[0.5]{bias_t}} +\only<2>{\img[0.5]{ccd_lin}} +\only<4>{\img[0.55]{dark_cur}} +\only<5>{\img[0.55]{apoqe}} +\end{frame} + +\section{Кодирование и хранение информации} +\begin{frame}{Кодирование и хранение информации} +\begin{block}{FITS-формат} +FITS (англ. Flexible Image Transport System) "--- цифровой формат файлов, используемый в науке для +хранения, передачи и редактирования изображений и их метаданных (электронных таблиц).\\ +Метаданные изображения хранятся в удобочитаемом заголовке формата ASCII.\\ +Каждый файл FITS имеет один или несколько заголовков, содержащих ASCII-строки (фиксированной длины в 80 +символов) из пар ключ\slash значение, перемежающихся между блоками данных. +\end{block}\tiny +\begin{tabular}{llllll} +(blank) &CROTAn &EQUINOX &NAXISn &TBCOLn &TUNITn\\ +AUTHOR &CRPIXn &EXTEND &OBJECT &TDIMn &TZEROn\\ +BITPIX &CRVALn &EXTLEVEL &OBSERVER &TDISPn &XTENSION\\ +BLANK &CTYPEn &EXTNAME &ORIGIN &TELESCOP&\\ +BLOCKED &DATAMAX &EXTVER &PCOUNT &TFIELDS&\\ +BSCALE &DATAMIN &GCOUNT &PSCALn &TFORMn&\\ +BUNIT &DATE &GROUPS &PTYPEn &THEAP&\\ +BZERO &DATE-OBS &HISTORY &PZEROn &TNULLn&\\ +CDELTn &END &INSTRUME &REFERENC &TSCALn&\\ +COMMENT &EPOCH &NAXIS &SIMPLE &TTYPEn&\\ +\end{tabular} +\end{frame} + +\begin{frame}{WCS-привязка}\vspace*{-1em} +\only<1>{\begin{block}{Параметры WCS} +\begin{description} +\item[CRVALi] значение мировых координат опорного пикселя +\item[CRPIXi] координаты опорного пикселя на изображении +\item[CDELTi] инкремент координат +\item[CTYPEi] тип матрицы преобразования +\item[CROTAi] угол поворота систем координат +\item[PCij] немасштабированная матрица преобразований +\item[CDij] PC с масштабом +\item[Qi] $=\sum_{j=1}^N CD_{ij} (x_j - CRPIX_j) += \sum_{j=1}^N CDELT_j \cdot PC_{ij} (x_j - CRPIX_j)$. +\end{description} +\end{block} +} +\only<2>{\img[0.55]{out}} +\only<3>{\img[0.55]{out_cat}} +\end{frame} + + +\if0 +\begin{frame}{} +\begin{block}{} +\end{block} +\only<1>{\img{}} +\cols{\col{0.5} +\col{0.5}} +\end{frame} +\fi +\begin{frame}{Спасибо за внимание!} +\centering +\begin{minipage}{5cm} +\begin{block}{mailto} +eddy@sao.ru\\ +edward.emelianoff@gmail.com +\end{block}\end{minipage} +\end{frame} +\end{document} diff --git a/Astroschool_lect_2022/03-optics/pic/Blazed_grating.pdf b/Astroschool_lect_2022/03-optics/pic/Blazed_grating.pdf new file mode 100644 index 0000000..ef91065 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Blazed_grating.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Blazed_grating.svg b/Astroschool_lect_2022/03-optics/pic/Blazed_grating.svg new file mode 100644 index 0000000..3bbc582 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Blazed_grating.svg @@ -0,0 +1,70 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + н╠=н╡ + н╠ + н╡ + н╦B + н╦B + d + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/Brewster_window.pdf b/Astroschool_lect_2022/03-optics/pic/Brewster_window.pdf new file mode 100644 index 0000000..38ab6b4 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Brewster_window.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Brewster_window.svg b/Astroschool_lect_2022/03-optics/pic/Brewster_window.svg new file mode 100644 index 0000000..40ab244 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Brewster_window.svg @@ -0,0 +1,7766 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Master slide + + + Slide + + + Drawing + + + + + + + + + + Group + + Drawing + + + + + + + + + Drawing + + + + + + + + + + + Drawing + + + + + + + + + Drawing + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + Drawing + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Group + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Drawing + + + + + + + + + + + + Drawing + + + + + + + + + + + + Drawing + + + + + + + + + + + + + diff --git a/Astroschool_lect_2022/03-optics/pic/CircularPolarization.pdf b/Astroschool_lect_2022/03-optics/pic/CircularPolarization.pdf new file mode 100644 index 0000000..5c3ea5c Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/CircularPolarization.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/CircularPolarization.svg b/Astroschool_lect_2022/03-optics/pic/CircularPolarization.svg new file mode 100644 index 0000000..da06324 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/CircularPolarization.svg @@ -0,0 +1,5805 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + Grids Axonomnetric 15,15 degrees + Cos(15)=0.96593 + 100 x cos45 = 70.711 + 100/cos45 = 141.421 + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Designed for viewing a 75%.If Screen Res is 1280x800 pixel width would be 600px + Estimated size 85%, 790px x 0.85 = 670px + ((Move Horizontal = 100 x cos(45) / 16 = -4.419)) ((Move Vertical = 100 x cos(45) x tan 15 / 16 = -1.184)) + Create Grid intersection (Grab grid from corner to make it an angle grid) and distribute them evenlyusing Transform>Move Horizontal= -4.419 Vertical= -1.184, This results in the diameter equaling one wavelength + 100 x cos(45)= 70.711100 x 1/cos(45)= 141.421 + For 8 spokes or arrows used a move of..((Move Horizontal = 100 x cos(45) / 8 = -8.839)) ((Move Vertical = 100 x cos(45) x tan 15 / 8 = -2.368)) + Use an Axonometric grid with angles 15 ,15 anda Spacing Y of 2 x (100 x cos(45) x tan 15 / 8) = 4.7367 pxOR2 x (100 x cos(45) x tan 15 / 16) = 2.3684 px + Scale horizontal 100 x Cos(45) = 70.711 %Scale Vertical 100 x Cos(15) = 96.593 %Skew vertical -15 degrees + ((Move Horizontal = 100 x cos(45) / 32 = -2.210)) ((Move Vertical = 100 x cos(45) x tan 15 / 32 = -0.592)) + + + + + + + + + + + + + + + + + Helix EnhancmentContains hidden vector + + + SKEWVertical-15 degrees + + + Front + + + + SCALEHorizontal Compression100 x Cos(45) = 70.711 %Vertical Compression100 x Cos(15) = 96.593 % + + Front, represents anyobject in the X,Y plane + + + Side + + ROTATE- 45 degrees + + + Top + + + + Top + + + + Top + + SCALEVertical Compression100 x Tan(15) = 26.795 % + + + + + + 45 + Tlit + + + + + 45 + Tlit + + + + + 45 + Tlit + + + + + 45 + Tlit + + + 45 Tlit, representsany object in a planealong the z axistilted at + 45 degrees + + + SCALEVertical Stretch100 x(Cos(15)+2Cos(45)Tan(15))=134.486 % + + + + - 45 + Tlit + + + + - 45 + Tlit + + + + - 45 + Tlit + + + + - 45 + Tlit + + + + + - 45 Tlit, representsany object in a planealong the z axistilted at - 45 degrees + + + Side, represents any objectin the Y,Z plane + + + SCALEHorizontal Compression100 x Cos(45) = 70.711 %Vertical Compression100 x Cos(15) = 96.593 % + + + + Front + + + + Side + + + + Front + + + + Side + + SKEWVertical+15 degrees + Top, represents any objectin the Z,X plane + + + SCALEVertical Compression100 x Cos(45) = 70.711 %Horizontal Compression100 x Cos(45) = 70.711 % + + + + SKEWHorizontallyArcTan(Cos(45)) =+35.264 deg + + + + + + 45 + Tlit + + + + + + 45 + Tlit + + + + Front + + + + Side + + + + SCALEVertical Compression100 x Cos(45) = 70.711 %Horizontal Compression100 x Cos(45) = 70.711 % + + + + SKEWHorizontally- ArcTan(Cos(45)) =- 35.264 deg + + + + SKEWVertical+15 degrees + SKEWVertical+15 degrees + SCALEVertical Compression100 x(Cos(15) - 2Cos(45)Tan(15))=58.699 % + + + - 45 + Tlit + + + + - 45 + Tlit + + + Stream lined for transfer + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Stroke of arrows reduced to 0.7and arrows adjusted. Stroke ofred path reduced to 1.4 + + + + Linearly polarized Light + Left-handedCircularly polarized light + Unpolarized light + Quarter-wave plate + Linear polarizer + Refer to wikimedia imageCreating_an_Axonometric_Projection_(Dimetric).svgfor more details + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 16 Pixels Thick + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 4 Pixels Thick + Transparency 85% + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Unpolarized light represented as a singlewave who's linear polarization is suddenlychanging. + + If you wish to create a similiar image using this one as a starting pointI would suggest going to my commons wikimedia user pagewhere you will find the necessary information gathered together.http://commons.wikimedia.org/wiki/User:Dave3457 + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/Commercial_Integrating_Sphere.jpg b/Astroschool_lect_2022/03-optics/pic/Commercial_Integrating_Sphere.jpg new file mode 100644 index 0000000..7efca03 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Commercial_Integrating_Sphere.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Czerny-turner_monochr.png b/Astroschool_lect_2022/03-optics/pic/Czerny-turner_monochr.png new file mode 100644 index 0000000..951b87a Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Czerny-turner_monochr.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Diffraction_Grating_Equation.jpg b/Astroschool_lect_2022/03-optics/pic/Diffraction_Grating_Equation.jpg new file mode 100644 index 0000000..7c1753b Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Diffraction_Grating_Equation.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Drapers_spectra.jpg b/Astroschool_lect_2022/03-optics/pic/Drapers_spectra.jpg new file mode 100644 index 0000000..87b9968 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Drapers_spectra.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Echelle_dispersion.jpg b/Astroschool_lect_2022/03-optics/pic/Echelle_dispersion.jpg new file mode 100644 index 0000000..6bf1f63 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Echelle_dispersion.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Electromagnetic_wave.png b/Astroschool_lect_2022/03-optics/pic/Electromagnetic_wave.png new file mode 100644 index 0000000..d1f4efe Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Electromagnetic_wave.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/FOCAS_grisms.png b/Astroschool_lect_2022/03-optics/pic/FOCAS_grisms.png new file mode 100644 index 0000000..f5ee33e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/FOCAS_grisms.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/FOCAS_subaru.jpg b/Astroschool_lect_2022/03-optics/pic/FOCAS_subaru.jpg new file mode 100644 index 0000000..3569c87 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/FOCAS_subaru.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Fastie-Ebert_Monochromator.jpg b/Astroschool_lect_2022/03-optics/pic/Fastie-Ebert_Monochromator.jpg new file mode 100644 index 0000000..6dbd39b Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Fastie-Ebert_Monochromator.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Filter-optics-1.jpg b/Astroschool_lect_2022/03-optics/pic/Filter-optics-1.jpg new file mode 100644 index 0000000..942d767 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Filter-optics-1.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Fraunhofer_grating.png b/Astroschool_lect_2022/03-optics/pic/Fraunhofer_grating.png new file mode 100644 index 0000000..aa47e31 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Fraunhofer_grating.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Fraunhofer_spectroscope.jpg b/Astroschool_lect_2022/03-optics/pic/Fraunhofer_spectroscope.jpg new file mode 100644 index 0000000..c9b9397 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Fraunhofer_spectroscope.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Grism1.jpg b/Astroschool_lect_2022/03-optics/pic/Grism1.jpg new file mode 100644 index 0000000..2957f0a Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Grism1.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Grism2.jpg b/Astroschool_lect_2022/03-optics/pic/Grism2.jpg new file mode 100644 index 0000000..88ea5d7 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Grism2.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/HRDiagram.png b/Astroschool_lect_2022/03-optics/pic/HRDiagram.png new file mode 100644 index 0000000..5672269 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/HRDiagram.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Hectospec_focal_plane.jpg b/Astroschool_lect_2022/03-optics/pic/Hectospec_focal_plane.jpg new file mode 100644 index 0000000..6ae544e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Hectospec_focal_plane.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/IFP_datacube.jpg b/Astroschool_lect_2022/03-optics/pic/IFP_datacube.jpg new file mode 100644 index 0000000..4765191 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/IFP_datacube.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/IFPstack.jpg b/Astroschool_lect_2022/03-optics/pic/IFPstack.jpg new file mode 100644 index 0000000..b030a85 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/IFPstack.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.pdf b/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.pdf new file mode 100644 index 0000000..6bda0de Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.svg b/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.svg new file mode 100644 index 0000000..ccf1268 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Integr_sphere_principle.svg @@ -0,0 +1,86 @@ + + + Simplified principle of the use of an integrating sphere to measure reflectance and transmittance + Simplified principle of the use of an integrating sphere to measure the reflectance and transmittance of a test sample, drawn by CMG Lee. + + + + + + + + + + + + + + + + + + + + + + + + + Light source + + + + + + + + + + + + + + + + + Baffle + Detector + Unusedportplugged + + + + Test sample + + + + Reflectance standard + + + + + + + + + + + + + + 1. Measuring transmittance + + + + + + + + + + + 2. Measuring reflectance + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/LCD_layers.pdf b/Astroschool_lect_2022/03-optics/pic/LCD_layers.pdf new file mode 100644 index 0000000..a02752f Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/LCD_layers.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/LCD_layers.svg b/Astroschool_lect_2022/03-optics/pic/LCD_layers.svg new file mode 100644 index 0000000..ab10c0d --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/LCD_layers.svg @@ -0,0 +1,102 @@ + + + + + + + image/svg+xml + + + Layer of an LCD display + + + Ed Sanders + + + 1. Vertical filter film to polarize the light as it enters. +2. Glass substrate with ITO electrodes. The shapes of these electrodes will determine the dark shapes that will appear when the LCD is turned on. Vertical ridges are etched on the surface so the liquid crystals are in line with the polarized light. +3. Twisted nematic liquid crystals. +4. Glass substrate with common electrode film (ITO) with horizontal ridges to line up with the horizontal filter. +5. Horizontal filter film to block/allow through light. +6. Reflective surface to send light back to viewer. + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + 1 + 2 + 3 + 4 + 5 + 6 + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/Large_Diffraction_grating.jpg b/Astroschool_lect_2022/03-optics/pic/Large_Diffraction_grating.jpg new file mode 100644 index 0000000..4156ccc Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Large_Diffraction_grating.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.pdf b/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.pdf new file mode 100644 index 0000000..e973b58 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.svg b/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.svg new file mode 100644 index 0000000..713325c --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Malus_law-ru.svg @@ -0,0 +1,442 @@ + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + y + z + x + I + I + 0 + н╦ + 0 + н╦ + 1 + п÷п╬п╩я▐я─п╦п╥п╟я┌п╬я─ + diff --git a/Astroschool_lect_2022/03-optics/pic/Nicol_prism.pdf b/Astroschool_lect_2022/03-optics/pic/Nicol_prism.pdf new file mode 100644 index 0000000..435fa93 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Nicol_prism.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Nicol_prism.svg b/Astroschool_lect_2022/03-optics/pic/Nicol_prism.svg new file mode 100644 index 0000000..93f9abf --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Nicol_prism.svg @@ -0,0 +1,215 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/Polarization_ellipse.png b/Astroschool_lect_2022/03-optics/pic/Polarization_ellipse.png new file mode 100644 index 0000000..207f882 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Polarization_ellipse.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.pdf b/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.pdf new file mode 100644 index 0000000..c817a65 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.svg b/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.svg new file mode 100644 index 0000000..3175010 --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Positively_birefringent_material.svg @@ -0,0 +1,478 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + Optic axis + parallel polarization + perpendicular polarization + + + + + + + + + + + + + + diff --git a/Astroschool_lect_2022/03-optics/pic/SpectralLines.jpg b/Astroschool_lect_2022/03-optics/pic/SpectralLines.jpg new file mode 100644 index 0000000..79d6653 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/SpectralLines.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/UM2.jpg b/Astroschool_lect_2022/03-optics/pic/UM2.jpg new file mode 100644 index 0000000..5de9a24 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/UM2.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/VPGfig2.png b/Astroschool_lect_2022/03-optics/pic/VPGfig2.png new file mode 100644 index 0000000..39a3bee Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/VPGfig2.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/VPHG.jpg b/Astroschool_lect_2022/03-optics/pic/VPHG.jpg new file mode 100644 index 0000000..b074879 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/VPHG.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/VPHG_ex.png b/Astroschool_lect_2022/03-optics/pic/VPHG_ex.png new file mode 100644 index 0000000..1b22d25 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/VPHG_ex.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/VPHGstack.jpg b/Astroschool_lect_2022/03-optics/pic/VPHGstack.jpg new file mode 100644 index 0000000..eea126e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/VPHGstack.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/VP_HolographicGratings_eff_vs_wavelength3.png b/Astroschool_lect_2022/03-optics/pic/VP_HolographicGratings_eff_vs_wavelength3.png new file mode 100644 index 0000000..ae9920e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/VP_HolographicGratings_eff_vs_wavelength3.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Waveplate.png b/Astroschool_lect_2022/03-optics/pic/Waveplate.png new file mode 100644 index 0000000..8df241c Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Waveplate.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.pdf b/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.pdf new file mode 100644 index 0000000..f05062b Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.pdf differ diff --git a/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.svg b/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.svg new file mode 100644 index 0000000..cb861fd --- /dev/null +++ b/Astroschool_lect_2022/03-optics/pic/Wollaston-prism.svg @@ -0,0 +1,130 @@ + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + image/svg+xml + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + \ No newline at end of file diff --git a/Astroschool_lect_2022/03-optics/pic/apoqe.png b/Astroschool_lect_2022/03-optics/pic/apoqe.png new file mode 100644 index 0000000..d7b6205 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/apoqe.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/ar_ne600.png b/Astroschool_lect_2022/03-optics/pic/ar_ne600.png new file mode 100644 index 0000000..867dc9b Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/ar_ne600.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/bands.png b/Astroschool_lect_2022/03-optics/pic/bands.png new file mode 100644 index 0000000..e273548 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/bands.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/bias_t.png b/Astroschool_lect_2022/03-optics/pic/bias_t.png new file mode 100644 index 0000000..538f06a Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/bias_t.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/brewster_polarizer_small.png b/Astroschool_lect_2022/03-optics/pic/brewster_polarizer_small.png new file mode 100644 index 0000000..07b8a43 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/brewster_polarizer_small.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/ccd_lin.png b/Astroschool_lect_2022/03-optics/pic/ccd_lin.png new file mode 100644 index 0000000..5b314fd Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/ccd_lin.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/dark_cur.png b/Astroschool_lect_2022/03-optics/pic/dark_cur.png new file mode 100644 index 0000000..9bbf775 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/dark_cur.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/diffraction_image006.png b/Astroschool_lect_2022/03-optics/pic/diffraction_image006.png new file mode 100644 index 0000000..ec24699 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/diffraction_image006.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/doppler.jpg b/Astroschool_lect_2022/03-optics/pic/doppler.jpg new file mode 100644 index 0000000..ece0bcf Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/doppler.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/echelle_inst.jpg b/Astroschool_lect_2022/03-optics/pic/echelle_inst.jpg new file mode 100644 index 0000000..a3ef58e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/echelle_inst.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/echelle_spect.jpg b/Astroschool_lect_2022/03-optics/pic/echelle_spect.jpg new file mode 100644 index 0000000..e74db3d Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/echelle_spect.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/equiv_width.png b/Astroschool_lect_2022/03-optics/pic/equiv_width.png new file mode 100644 index 0000000..9068806 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/equiv_width.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/exoplanet.jpg b/Astroschool_lect_2022/03-optics/pic/exoplanet.jpg new file mode 100644 index 0000000..dbefb7c Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/exoplanet.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/galaxy_doppler.jpg b/Astroschool_lect_2022/03-optics/pic/galaxy_doppler.jpg new file mode 100644 index 0000000..bd535ba Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/galaxy_doppler.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galaxy.png b/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galaxy.png new file mode 100644 index 0000000..d6b738a Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galaxy.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galext.png b/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galext.png new file mode 100644 index 0000000..8e1b462 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/gmoslongslit_galext.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/grism_light.png b/Astroschool_lect_2022/03-optics/pic/grism_light.png new file mode 100644 index 0000000..dfb1bae Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/grism_light.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/hubble.png b/Astroschool_lect_2022/03-optics/pic/hubble.png new file mode 100644 index 0000000..bc67a11 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/hubble.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/ifp_theor.jpg b/Astroschool_lect_2022/03-optics/pic/ifp_theor.jpg new file mode 100644 index 0000000..09d853d Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/ifp_theor.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/ifp_theor2.jpg b/Astroschool_lect_2022/03-optics/pic/ifp_theor2.jpg new file mode 100644 index 0000000..3311bfc Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/ifp_theor2.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/ifs_data_cube.jpg b/Astroschool_lect_2022/03-optics/pic/ifs_data_cube.jpg new file mode 100644 index 0000000..51c5921 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/ifs_data_cube.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/integral_field_spectr_designs.jpg b/Astroschool_lect_2022/03-optics/pic/integral_field_spectr_designs.jpg new file mode 100644 index 0000000..a4c1e11 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/integral_field_spectr_designs.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/interf_filterIR.jpg b/Astroschool_lect_2022/03-optics/pic/interf_filterIR.jpg new file mode 100644 index 0000000..ab05d5e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/interf_filterIR.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/lucky_stack.jpg b/Astroschool_lect_2022/03-optics/pic/lucky_stack.jpg new file mode 100644 index 0000000..ca8d694 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/lucky_stack.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/out.jpeg b/Astroschool_lect_2022/03-optics/pic/out.jpeg new file mode 100644 index 0000000..5d3cb5b Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/out.jpeg differ diff --git a/Astroschool_lect_2022/03-optics/pic/out_cat.jpeg b/Astroschool_lect_2022/03-optics/pic/out_cat.jpeg new file mode 100644 index 0000000..fab55a4 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/out_cat.jpeg differ diff --git a/Astroschool_lect_2022/03-optics/pic/prism_monochr.png b/Astroschool_lect_2022/03-optics/pic/prism_monochr.png new file mode 100644 index 0000000..150bc05 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/prism_monochr.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/prism_spectrometer.jpg b/Astroschool_lect_2022/03-optics/pic/prism_spectrometer.jpg new file mode 100644 index 0000000..82b4fcb Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/prism_spectrometer.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/prism_spectrometer_sch.jpg b/Astroschool_lect_2022/03-optics/pic/prism_spectrometer_sch.jpg new file mode 100644 index 0000000..f05d9f4 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/prism_spectrometer_sch.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure1.jpg b/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure1.jpg new file mode 100644 index 0000000..1fe974e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure1.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure2.jpg b/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure2.jpg new file mode 100644 index 0000000..dee68ae Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/signaltonoisefigure2.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/slit_spectr.jpg b/Astroschool_lect_2022/03-optics/pic/slit_spectr.jpg new file mode 100644 index 0000000..34e13cd Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/slit_spectr.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/slitless.jpg b/Astroschool_lect_2022/03-optics/pic/slitless.jpg new file mode 100644 index 0000000..795515c Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/slitless.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/slitless_schematic.jpg b/Astroschool_lect_2022/03-optics/pic/slitless_schematic.jpg new file mode 100644 index 0000000..08f4f08 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/slitless_schematic.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/solar_spectra.jpg b/Astroschool_lect_2022/03-optics/pic/solar_spectra.jpg new file mode 100644 index 0000000..a5b4b23 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/solar_spectra.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/speckleflow.png b/Astroschool_lect_2022/03-optics/pic/speckleflow.png new file mode 100644 index 0000000..bddc641 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/speckleflow.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/stokes_calc.png b/Astroschool_lect_2022/03-optics/pic/stokes_calc.png new file mode 100644 index 0000000..9445a2e Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/stokes_calc.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/supernova.png b/Astroschool_lect_2022/03-optics/pic/supernova.png new file mode 100644 index 0000000..5ccc3a6 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/supernova.png differ diff --git a/Astroschool_lect_2022/03-optics/pic/thorium.jpg b/Astroschool_lect_2022/03-optics/pic/thorium.jpg new file mode 100644 index 0000000..d8cee80 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/thorium.jpg differ diff --git a/Astroschool_lect_2022/03-optics/pic/zollner_photometer.jpg b/Astroschool_lect_2022/03-optics/pic/zollner_photometer.jpg new file mode 100644 index 0000000..a5cb009 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/pic/zollner_photometer.jpg differ diff --git a/Astroschool_lect_2022/03-optics/saologo.pdf b/Astroschool_lect_2022/03-optics/saologo.pdf new file mode 100644 index 0000000..95f7013 Binary files /dev/null and b/Astroschool_lect_2022/03-optics/saologo.pdf differ diff --git a/Astroschool_lect_2022/03-optics/traektory_AFSH.pdf b/Astroschool_lect_2022/03-optics/traektory_AFSH.pdf new file mode 100644 index 0000000..01280bd Binary files /dev/null and b/Astroschool_lect_2022/03-optics/traektory_AFSH.pdf differ