diff --git a/prog/python/qqgg/analytical_xs.org b/prog/python/qqgg/analytical_xs.org index 869d4cb..431671c 100644 --- a/prog/python/qqgg/analytical_xs.org +++ b/prog/python/qqgg/analytical_xs.org @@ -3,9 +3,10 @@ * Init ** Required Modules #+NAME: e988e3f2-ad1f-49a3-ad60-bedba3863283 -#+begin_src ipython :session :exports both +#+begin_src ipython :session :exports both :tangle tangled/xs.py import numpy as np import matplotlib.pyplot as plt + import monte_carlo #+end_src #+RESULTS: e988e3f2-ad1f-49a3-ad60-bedba3863283 @@ -16,6 +17,7 @@ %run ../utility.py %load_ext autoreload %aimport monte_carlo +%autoreload 1 #+END_SRC #+RESULTS: 53548778-a4c1-461a-9b1f-0f401df12b08 @@ -151,6 +153,10 @@ interval_pt = η_to_pt([0, η], esp/2) plot_interval = [0.1, np.pi-.1] #+end_src +#+RESULTS: +:RESULTS: +:END: + #+RESULTS: 7e62918a-2935-41ac-94e0-f0e7c3af8e0d :RESULTS: :END: @@ -201,7 +207,7 @@ save_fig(fig, 'diff_xs', 'xs', size=[4, 4]) #+RESULTS: :RESULTS: -[[file:./obipy-resources/EvlB5m.png]] +[[file:./obipy-resources/DHBTl1.png]] :END: Define the integrand. @@ -228,22 +234,23 @@ save_fig(fig, 'xs_integrand', 'xs', size=[4, 4]) #+RESULTS: :RESULTS: -[[file:./obipy-resources/lOkEKe.png]] +[[file:./obipy-resources/4mne94.png]] :END: Intergrate σ with the mc method. #+begin_src ipython :session :exports both :results raw drawer - xs_pb_mc, xs_pb_mc_err = integrate(xs_pb_int, interval, 10000) + xs_pb_mc, xs_pb_mc_err = monte_carlo.integrate(xs_pb_int, interval, 10000) xs_pb_mc = xs_pb_mc*np.pi*2 xs_pb_mc, xs_pb_mc_err #+end_src #+RESULTS: :RESULTS: -(0.05382327328187836, 4.2568280254619665e-05) +(0.05360809379599215, 4.22681790215136e-05) :END: +We gonna export that as tex. #+begin_src ipython :session :exports both :results raw drawer output :file xs_mc.tex print(tex_value(xs_pb_mc, unit=r'\pico\barn', prefix=r'\sigma = ', prec=5)) #+end_src @@ -254,12 +261,21 @@ print(tex_value(xs_pb_mc, unit=r'\pico\barn', prefix=r'\sigma = ', prec=5)) :END: *** Sampling and Analysis +Define the sample number. +#+begin_src ipython :session :exports both :results raw drawer + sample_num = 1000 +#+end_src + +#+RESULTS: +:RESULTS: +:END: + + Now we monte-carlo sample our distribution. #+begin_src ipython :session :exports both :results raw drawer -cosθ_sample = sample(lambda x: diff_xs_cosθ(x, charge, esp), interval_cosθ) -η_sample = sample(lambda x: diff_xs_eta(x, charge, esp), interval_η) -pt_sample = sample(lambda x: diff_xs_pt(x, charge, esp), interval_pt) - +cosθ_sample = monte_carlo.sample_unweighted_array(sample_num, lambda x: + diff_xs_cosθ(x, charge, esp), + interval_cosθ) #+end_src #+RESULTS: @@ -285,32 +301,120 @@ We define an auxilliary method for convenience. The histogram for cosθ. #+begin_src ipython :session :exports both :results raw drawer fig, _ = draw_histo(cosθ_sample, r'$\cos\theta$') -save_fig(fig, 'histo_cos_theta', 'xs', size=(4,2)) +save_fig(fig, 'histo_cos_theta', 'xs', size=(4,3)) #+end_src #+RESULTS: :RESULTS: -[[file:./obipy-resources/UtLSDE.png]] +[[file:./obipy-resources/ZSJaBQ.png]] :END: -And the histogram for η. +Now we define some utilities to draw real 4-impulse samples. +#+begin_src ipython :session :exports both :tangle tangled/xs.py + def sample_impulses(sample_num, interval, charge, esp, seed=None): + """Samples `sample_num` unweighted photon 4-impulses from the cross-section. + + :param sample_num: number of samples to take + :param interval: cosθ interval to sample from + :param charge: the charge of the quark + :param esp: center of mass energy + :param seed: the seed for the rng, optional, default is system + time + + :returns: an array of 4 photon impulses + :rtype: np.ndarray + """ + cosθ_sample = \ + monte_carlo.sample_unweighted_array(sample_num, + lambda x: + diff_xs_cosθ(x, charge, esp), + interval_cosθ) + φ_sample = np.random.uniform(0, 1, sample_num) + + def make_impulse(esp, cosθ, φ): + sinθ = np.sqrt(1-cosθ**2) + return np.array([1, sinθ*np.cos(φ), sinθ*np.sin(φ), cosθ])*esp/2 + + impulses = np.array([make_impulse(esp, cosθ, φ) \ + for cosθ, φ in np.array([cosθ_sample, φ_sample]).T]) + return impulses +#+end_src + +#+RESULTS: + +To generate histograms of other obeservables, we have to define them as functions on 4-impuleses. +#+begin_src ipython :session :exports both :results raw drawer :tangle tangled/observables.py + """This module defines some observables on arrays of 4-pulses.""" + import numpy as np + + def p_t(p): + """Transverse impulse + + :param p: array of 4-impulses + """ + + return np.linalg.norm(p[:,1:3], axis=1) + + def η(p): + """Pseudo rapidity. + + :param p: array of 4-impulses + """ + + return np.arccosh(np.linalg.norm(p[:,1:], axis=1)/p_t(p))*np.sign(p[:, 3]) +#+end_src + +#+RESULTS: +:RESULTS: +:END: + + +Lets try it out. #+begin_src ipython :session :exports both :results raw drawer -draw_histo(η_sample, r'$\eta$') -save_fig(fig, 'histo_eta', 'xs', size=(4,2)) + impulse_sample = sample_impulses(2000, interval_cosθ, charge, esp) + impulse_sample #+end_src #+RESULTS: :RESULTS: -[[file:./obipy-resources/I7AUEF.png]] +#+BEGIN_EXAMPLE + array([[100. , 48.55787717, 64.05713855, 59.48794471], + [100. , 42.68070092, 33.17436113, -84.12977792], + [100. , 18.42611283, 27.20055109, -94.44897239], + ..., + [100. , 21.40152914, 14.7440014 , 96.56391134], + [100. , 35.84656512, 5.33864248, -93.20151643], + [100. , 38.37094512, 8.92583559, 91.9130025 ]]) +#+END_EXAMPLE :END: -And the same for pt. +Now let's make a histogram of the η distribution. #+begin_src ipython :session :exports both :results raw drawer -draw_histo(pt_sample, r'$p_{T}$ [GeV]') -save_fig(fig, 'histo_pt', 'xs', size=(4,2)) + η_sample = η(impulse_sample) + draw_histo(η_sample, r'$\eta$') #+end_src #+RESULTS: :RESULTS: -[[file:./obipy-resources/Ix0X0o.png]] +#+BEGIN_EXAMPLE + (
, + ) +#+END_EXAMPLE +[[file:./obipy-resources/S2OvbR.png]] +:END: + + +And the same for the p_t (transverse impulse) distribution. +#+begin_src ipython :session :exports both :results raw drawer + p_t_sample = p_t(impulse_sample) + draw_histo(p_t_sample, r'$p_T$') +#+end_src + +#+RESULTS: +:RESULTS: +#+BEGIN_EXAMPLE + (
, + ) +#+END_EXAMPLE +[[file:./obipy-resources/nW1TKv.png]] :END: diff --git a/prog/python/qqgg/figs/xs/diff_xs.pdf b/prog/python/qqgg/figs/xs/diff_xs.pdf index 7d0ac41..c52ce95 100644 Binary files a/prog/python/qqgg/figs/xs/diff_xs.pdf and b/prog/python/qqgg/figs/xs/diff_xs.pdf differ diff --git a/prog/python/qqgg/figs/xs/histo_cos_theta.pdf b/prog/python/qqgg/figs/xs/histo_cos_theta.pdf index 1198ab9..089630d 100644 Binary files a/prog/python/qqgg/figs/xs/histo_cos_theta.pdf and b/prog/python/qqgg/figs/xs/histo_cos_theta.pdf differ diff --git a/prog/python/qqgg/figs/xs/histo_cos_theta.pgf b/prog/python/qqgg/figs/xs/histo_cos_theta.pgf index 528b1d4..a1c8798 100644 --- a/prog/python/qqgg/figs/xs/histo_cos_theta.pgf +++ b/prog/python/qqgg/figs/xs/histo_cos_theta.pgf @@ -26,7 +26,7 @@ \begingroup% \makeatletter% \begin{pgfpicture}% -\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{4.000000in}{2.000000in}}% +\pgfpathrectangle{\pgfpointorigin}{\pgfqpoint{4.000000in}{3.000000in}}% \pgfusepath{use as bounding box, clip}% \begin{pgfscope}% \pgfsetbuttcap% @@ -39,8 +39,8 @@ \pgfsetdash{}{0pt}% \pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% \pgfpathlineto{\pgfqpoint{4.000000in}{0.000000in}}% -\pgfpathlineto{\pgfqpoint{4.000000in}{2.000000in}}% -\pgfpathlineto{\pgfqpoint{0.000000in}{2.000000in}}% +\pgfpathlineto{\pgfqpoint{4.000000in}{3.000000in}}% +\pgfpathlineto{\pgfqpoint{0.000000in}{3.000000in}}% \pgfpathclose% \pgfusepath{fill}% \end{pgfscope}% @@ -56,13 +56,13 @@ \pgfsetdash{}{0pt}% \pgfpathmoveto{\pgfqpoint{0.512847in}{0.594444in}}% \pgfpathlineto{\pgfqpoint{3.801389in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.801389in}}% -\pgfpathlineto{\pgfqpoint{0.512847in}{1.801389in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.801389in}}% +\pgfpathlineto{\pgfqpoint{0.512847in}{2.801389in}}% \pgfpathclose% \pgfusepath{fill}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% 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\pgfsetrectcap% \pgfsetroundjoin% @@ -124,8 +124,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.323753in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.323753in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.323808in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.323808in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -143,7 +143,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.323753in}{0.594444in}% +\pgfsys@transformshift{1.323808in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -162,7 +162,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.323753in}{1.801389in}% +\pgfsys@transformshift{1.323808in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -170,10 +170,10 @@ \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% \pgfsetstrokecolor{textcolor}% \pgfsetfillcolor{textcolor}% -\pgftext[x=1.323753in,y=0.497222in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont −0.5}% +\pgftext[x=1.323808in,y=0.497222in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont −0.5}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -182,8 +182,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.157116in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.157116in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.157106in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.157106in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -201,7 +201,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% 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\pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -240,8 +240,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.990480in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.990480in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.990404in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.990404in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -259,7 +259,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.990480in}{0.594444in}% +\pgfsys@transformshift{2.990404in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -278,7 +278,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.990480in}{1.801389in}% +\pgfsys@transformshift{2.990404in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -286,10 +286,10 @@ \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% \pgfsetstrokecolor{textcolor}% \pgfsetfillcolor{textcolor}% -\pgftext[x=2.990480in,y=0.497222in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 0.5}% +\pgftext[x=2.990404in,y=0.497222in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 0.5}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -298,8 +298,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.573726in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.573726in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.573839in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.573839in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -317,7 +317,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.573726in}{0.594444in}% +\pgfsys@transformshift{0.573839in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -336,12 +336,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.573726in}{1.801389in}% +\pgfsys@transformshift{0.573839in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -350,8 +350,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.657062in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.657062in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.657169in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.657169in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -369,7 +369,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.657062in}{0.594444in}% +\pgfsys@transformshift{0.657169in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -388,12 +388,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.657062in}{1.801389in}% +\pgfsys@transformshift{0.657169in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -402,8 +402,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.740399in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.740399in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.740499in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.740499in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -421,7 +421,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.740399in}{0.594444in}% +\pgfsys@transformshift{0.740499in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -440,12 +440,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.740399in}{1.801389in}% +\pgfsys@transformshift{0.740499in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -454,8 +454,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.823735in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.823735in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.823829in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.823829in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -473,7 +473,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.823735in}{0.594444in}% +\pgfsys@transformshift{0.823829in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -492,12 +492,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.823735in}{1.801389in}% +\pgfsys@transformshift{0.823829in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -506,8 +506,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.907071in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.907071in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.907158in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.907158in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -525,7 +525,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.907071in}{0.594444in}% +\pgfsys@transformshift{0.907158in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -544,12 +544,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.907071in}{1.801389in}% +\pgfsys@transformshift{0.907158in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -558,8 +558,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.990408in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{0.990408in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.990488in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{0.990488in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -577,7 +577,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.990408in}{0.594444in}% +\pgfsys@transformshift{0.990488in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -596,12 +596,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.990408in}{1.801389in}% +\pgfsys@transformshift{0.990488in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -610,8 +610,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.073744in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.073744in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.073818in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.073818in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -629,7 +629,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.073744in}{0.594444in}% +\pgfsys@transformshift{1.073818in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -648,12 +648,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.073744in}{1.801389in}% +\pgfsys@transformshift{1.073818in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -662,8 +662,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.157080in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.157080in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.157148in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.157148in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -681,7 +681,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.157080in}{0.594444in}% +\pgfsys@transformshift{1.157148in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -700,12 +700,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.157080in}{1.801389in}% +\pgfsys@transformshift{1.157148in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -714,8 +714,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.240417in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.240417in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.240478in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.240478in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -733,7 +733,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.240417in}{0.594444in}% +\pgfsys@transformshift{1.240478in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -752,12 +752,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.240417in}{1.801389in}% +\pgfsys@transformshift{1.240478in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -766,8 +766,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.407089in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.407089in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.407137in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.407137in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -785,7 +785,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.407089in}{0.594444in}% +\pgfsys@transformshift{1.407137in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -804,12 +804,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.407089in}{1.801389in}% +\pgfsys@transformshift{1.407137in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -818,8 +818,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.490426in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.490426in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.490467in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.490467in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -837,7 +837,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.490426in}{0.594444in}% +\pgfsys@transformshift{1.490467in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -856,12 +856,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.490426in}{1.801389in}% +\pgfsys@transformshift{1.490467in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -870,8 +870,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.573762in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.573762in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.573797in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.573797in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -889,7 +889,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.573762in}{0.594444in}% +\pgfsys@transformshift{1.573797in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -908,12 +908,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.573762in}{1.801389in}% +\pgfsys@transformshift{1.573797in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -922,8 +922,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.657098in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.657098in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.657127in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.657127in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -941,7 +941,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.657098in}{0.594444in}% +\pgfsys@transformshift{1.657127in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -960,12 +960,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.657098in}{1.801389in}% +\pgfsys@transformshift{1.657127in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -974,8 +974,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.740435in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.740435in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.740457in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.740457in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -993,7 +993,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.740435in}{0.594444in}% +\pgfsys@transformshift{1.740457in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1012,12 +1012,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.740435in}{1.801389in}% +\pgfsys@transformshift{1.740457in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1026,8 +1026,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.823771in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.823771in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.823786in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.823786in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1045,7 +1045,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.823771in}{0.594444in}% +\pgfsys@transformshift{1.823786in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1064,12 +1064,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.823771in}{1.801389in}% +\pgfsys@transformshift{1.823786in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1078,8 +1078,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.907107in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.907107in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.907116in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.907116in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1097,7 +1097,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.907107in}{0.594444in}% +\pgfsys@transformshift{1.907116in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1116,12 +1116,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.907107in}{1.801389in}% +\pgfsys@transformshift{1.907116in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1130,8 +1130,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{1.990444in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{1.990444in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{1.990446in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{1.990446in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1149,7 +1149,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.990444in}{0.594444in}% +\pgfsys@transformshift{1.990446in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1168,12 +1168,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{1.990444in}{1.801389in}% +\pgfsys@transformshift{1.990446in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1182,8 +1182,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.073780in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.073780in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.073776in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.073776in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1201,7 +1201,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.073780in}{0.594444in}% +\pgfsys@transformshift{2.073776in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1220,12 +1220,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.073780in}{1.801389in}% +\pgfsys@transformshift{2.073776in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1234,8 +1234,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.240453in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.240453in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.240436in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.240436in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1253,7 +1253,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.240453in}{0.594444in}% +\pgfsys@transformshift{2.240436in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1272,12 +1272,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.240453in}{1.801389in}% +\pgfsys@transformshift{2.240436in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1286,8 +1286,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.323789in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.323789in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.323765in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.323765in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1305,7 +1305,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.323789in}{0.594444in}% +\pgfsys@transformshift{2.323765in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1324,12 +1324,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.323789in}{1.801389in}% +\pgfsys@transformshift{2.323765in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1338,8 +1338,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.407125in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.407125in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.407095in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.407095in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1357,7 +1357,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.407125in}{0.594444in}% +\pgfsys@transformshift{2.407095in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1376,12 +1376,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.407125in}{1.801389in}% +\pgfsys@transformshift{2.407095in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1390,8 +1390,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.490462in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.490462in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.490425in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.490425in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1409,7 +1409,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.490462in}{0.594444in}% +\pgfsys@transformshift{2.490425in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1428,12 +1428,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.490462in}{1.801389in}% +\pgfsys@transformshift{2.490425in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1442,8 +1442,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.573798in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.573798in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.573755in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.573755in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1461,7 +1461,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.573798in}{0.594444in}% +\pgfsys@transformshift{2.573755in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1480,12 +1480,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.573798in}{1.801389in}% +\pgfsys@transformshift{2.573755in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1494,8 +1494,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.657134in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.657134in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.657085in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.657085in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1513,7 +1513,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.657134in}{0.594444in}% +\pgfsys@transformshift{2.657085in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1532,12 +1532,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.657134in}{1.801389in}% +\pgfsys@transformshift{2.657085in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1546,8 +1546,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.740471in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.740471in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.740415in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.740415in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1565,7 +1565,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.740471in}{0.594444in}% +\pgfsys@transformshift{2.740415in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1584,12 +1584,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.740471in}{1.801389in}% +\pgfsys@transformshift{2.740415in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1598,8 +1598,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.823807in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.823807in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.823744in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.823744in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1617,7 +1617,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.823807in}{0.594444in}% +\pgfsys@transformshift{2.823744in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1636,12 +1636,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.823807in}{1.801389in}% +\pgfsys@transformshift{2.823744in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1650,8 +1650,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{2.907143in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{2.907143in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{2.907074in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{2.907074in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1669,7 +1669,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.907143in}{0.594444in}% +\pgfsys@transformshift{2.907074in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1688,12 +1688,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{2.907143in}{1.801389in}% +\pgfsys@transformshift{2.907074in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1702,8 +1702,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.073816in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.073816in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.073734in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.073734in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1721,7 +1721,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.073816in}{0.594444in}% +\pgfsys@transformshift{3.073734in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1740,12 +1740,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.073816in}{1.801389in}% +\pgfsys@transformshift{3.073734in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1754,8 +1754,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.157152in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.157152in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.157064in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.157064in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1773,7 +1773,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.157152in}{0.594444in}% +\pgfsys@transformshift{3.157064in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1792,12 +1792,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.157152in}{1.801389in}% +\pgfsys@transformshift{3.157064in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1806,8 +1806,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.240489in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.240489in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.240394in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.240394in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1825,7 +1825,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.240489in}{0.594444in}% +\pgfsys@transformshift{3.240394in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1844,12 +1844,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.240489in}{1.801389in}% +\pgfsys@transformshift{3.240394in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1858,8 +1858,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.323825in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.323825in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.323723in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.323723in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1877,7 +1877,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.323825in}{0.594444in}% +\pgfsys@transformshift{3.323723in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1896,12 +1896,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.323825in}{1.801389in}% +\pgfsys@transformshift{3.323723in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1910,8 +1910,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.407161in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.407161in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.407053in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.407053in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1929,7 +1929,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.407161in}{0.594444in}% +\pgfsys@transformshift{3.407053in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -1948,12 +1948,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.407161in}{1.801389in}% +\pgfsys@transformshift{3.407053in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -1962,8 +1962,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.490498in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.490498in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.490383in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.490383in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -1981,7 +1981,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.490498in}{0.594444in}% +\pgfsys@transformshift{3.490383in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2000,12 +2000,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.490498in}{1.801389in}% +\pgfsys@transformshift{3.490383in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2014,8 +2014,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.573834in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.573834in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.573713in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.573713in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2033,7 +2033,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.573834in}{0.594444in}% +\pgfsys@transformshift{3.573713in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2052,12 +2052,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.573834in}{1.801389in}% +\pgfsys@transformshift{3.573713in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2066,8 +2066,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.657170in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.657170in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.657043in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.657043in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2085,7 +2085,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.657170in}{0.594444in}% +\pgfsys@transformshift{3.657043in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2104,12 +2104,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.657170in}{1.801389in}% +\pgfsys@transformshift{3.657043in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2118,8 +2118,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{3.740507in}{0.594444in}}% -\pgfpathlineto{\pgfqpoint{3.740507in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{3.740373in}{0.594444in}}% +\pgfpathlineto{\pgfqpoint{3.740373in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2137,7 +2137,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.740507in}{0.594444in}% +\pgfsys@transformshift{3.740373in}{0.594444in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2156,7 +2156,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.740507in}{1.801389in}% +\pgfsys@transformshift{3.740373in}{2.801389in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2167,7 +2167,7 @@ \pgftext[x=2.157118in,y=0.318333in,,top]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont \(\displaystyle \cos\theta\)}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2225,7 +2225,7 @@ \pgftext[x=0.346181in, y=0.546250in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 0}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2234,8 +2234,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.967649in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.967649in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.197126in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.197126in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2253,7 +2253,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.967649in}% +\pgfsys@transformshift{0.512847in}{1.197126in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2272,7 +2272,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.967649in}% +\pgfsys@transformshift{3.801389in}{1.197126in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2280,10 +2280,10 @@ \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% \pgfsetstrokecolor{textcolor}% \pgfsetfillcolor{textcolor}% -\pgftext[x=0.207292in, y=0.919455in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 100}% +\pgftext[x=0.276736in, y=1.148932in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 80}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2292,8 +2292,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.340854in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.340854in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.799808in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.799808in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2311,7 +2311,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.340854in}% +\pgfsys@transformshift{0.512847in}{1.799808in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2330,7 +2330,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.340854in}% +\pgfsys@transformshift{3.801389in}{1.799808in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2338,10 +2338,10 @@ \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% \pgfsetstrokecolor{textcolor}% \pgfsetfillcolor{textcolor}% -\pgftext[x=0.207292in, y=1.292660in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 200}% +\pgftext[x=0.207292in, y=1.751613in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 160}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2350,8 +2350,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.500000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.714059in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.714059in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.402489in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.402489in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2369,7 +2369,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.714059in}% +\pgfsys@transformshift{0.512847in}{2.402489in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2388,7 +2388,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.714059in}% +\pgfsys@transformshift{3.801389in}{2.402489in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2396,10 +2396,10 @@ \definecolor{textcolor}{rgb}{0.000000,0.000000,0.000000}% \pgfsetstrokecolor{textcolor}% \pgfsetfillcolor{textcolor}% -\pgftext[x=0.207292in, y=1.665865in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 300}% +\pgftext[x=0.207292in, y=2.354295in, left, base]{\color{textcolor}\rmfamily\fontsize{10.000000}{12.000000}\selectfont 240}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2408,8 +2408,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.631765in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.631765in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.654713in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.654713in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2427,7 +2427,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.631765in}% +\pgfsys@transformshift{0.512847in}{0.654713in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2446,12 +2446,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.631765in}% +\pgfsys@transformshift{3.801389in}{0.654713in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2460,8 +2460,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.669085in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.669085in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.714981in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.714981in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2479,7 +2479,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.669085in}% +\pgfsys@transformshift{0.512847in}{0.714981in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2498,12 +2498,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.669085in}% +\pgfsys@transformshift{3.801389in}{0.714981in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2512,8 +2512,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.706406in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.706406in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.775249in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.775249in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2531,7 +2531,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.706406in}% +\pgfsys@transformshift{0.512847in}{0.775249in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2550,12 +2550,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.706406in}% +\pgfsys@transformshift{3.801389in}{0.775249in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2564,8 +2564,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.743726in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.743726in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.835517in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.835517in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2583,7 +2583,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.743726in}% +\pgfsys@transformshift{0.512847in}{0.835517in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2602,12 +2602,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.743726in}% +\pgfsys@transformshift{3.801389in}{0.835517in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2616,8 +2616,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.781047in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.781047in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.895785in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.895785in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2635,7 +2635,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.781047in}% +\pgfsys@transformshift{0.512847in}{0.895785in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2654,12 +2654,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.781047in}% +\pgfsys@transformshift{3.801389in}{0.895785in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2668,8 +2668,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.818367in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.818367in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{0.956053in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{0.956053in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2687,7 +2687,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.818367in}% +\pgfsys@transformshift{0.512847in}{0.956053in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2706,12 +2706,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.818367in}% +\pgfsys@transformshift{3.801389in}{0.956053in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2720,8 +2720,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.855688in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.855688in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.016322in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.016322in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2739,7 +2739,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.855688in}% +\pgfsys@transformshift{0.512847in}{1.016322in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2758,12 +2758,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.855688in}% +\pgfsys@transformshift{3.801389in}{1.016322in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2772,8 +2772,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.893008in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.893008in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.076590in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.076590in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2791,7 +2791,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.893008in}% +\pgfsys@transformshift{0.512847in}{1.076590in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2810,12 +2810,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.893008in}% +\pgfsys@transformshift{3.801389in}{1.076590in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2824,8 +2824,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{0.930329in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{0.930329in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.136858in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.136858in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2843,7 +2843,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{0.930329in}% +\pgfsys@transformshift{0.512847in}{1.136858in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2862,12 +2862,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{0.930329in}% +\pgfsys@transformshift{3.801389in}{1.136858in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2876,8 +2876,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.004970in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.004970in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.257394in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.257394in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2895,7 +2895,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.004970in}% +\pgfsys@transformshift{0.512847in}{1.257394in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2914,12 +2914,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.004970in}% +\pgfsys@transformshift{3.801389in}{1.257394in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2928,8 +2928,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.042290in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.042290in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.317662in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.317662in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2947,7 +2947,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.042290in}% +\pgfsys@transformshift{0.512847in}{1.317662in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -2966,12 +2966,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.042290in}% +\pgfsys@transformshift{3.801389in}{1.317662in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -2980,8 +2980,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.079611in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.079611in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.377930in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.377930in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -2999,7 +2999,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.079611in}% +\pgfsys@transformshift{0.512847in}{1.377930in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3018,12 +3018,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.079611in}% +\pgfsys@transformshift{3.801389in}{1.377930in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3032,8 +3032,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.116931in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.116931in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.438199in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.438199in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3051,7 +3051,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.116931in}% +\pgfsys@transformshift{0.512847in}{1.438199in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3070,12 +3070,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.116931in}% +\pgfsys@transformshift{3.801389in}{1.438199in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3084,8 +3084,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.154252in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.154252in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.498467in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.498467in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3103,7 +3103,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.154252in}% +\pgfsys@transformshift{0.512847in}{1.498467in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3122,12 +3122,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.154252in}% +\pgfsys@transformshift{3.801389in}{1.498467in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3136,8 +3136,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.191572in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.191572in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.558735in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.558735in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3155,7 +3155,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.191572in}% +\pgfsys@transformshift{0.512847in}{1.558735in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3174,12 +3174,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.191572in}% +\pgfsys@transformshift{3.801389in}{1.558735in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3188,8 +3188,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.228893in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.228893in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.619003in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.619003in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3207,7 +3207,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.228893in}% +\pgfsys@transformshift{0.512847in}{1.619003in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3226,12 +3226,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.228893in}% +\pgfsys@transformshift{3.801389in}{1.619003in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3240,8 +3240,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.266213in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.266213in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.679271in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.679271in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3259,7 +3259,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.266213in}% +\pgfsys@transformshift{0.512847in}{1.679271in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3278,12 +3278,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.266213in}% +\pgfsys@transformshift{3.801389in}{1.679271in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3292,8 +3292,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.303534in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.303534in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.739539in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.739539in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3311,7 +3311,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.303534in}% +\pgfsys@transformshift{0.512847in}{1.739539in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3330,12 +3330,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.303534in}% +\pgfsys@transformshift{3.801389in}{1.739539in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3344,8 +3344,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.378175in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.378175in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.860076in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.860076in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3363,7 +3363,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.378175in}% +\pgfsys@transformshift{0.512847in}{1.860076in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3382,12 +3382,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.378175in}% +\pgfsys@transformshift{3.801389in}{1.860076in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3396,8 +3396,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.415495in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.415495in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.920344in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.920344in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3415,7 +3415,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.415495in}% +\pgfsys@transformshift{0.512847in}{1.920344in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3434,12 +3434,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.415495in}% +\pgfsys@transformshift{3.801389in}{1.920344in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3448,8 +3448,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.452816in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.452816in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{1.980612in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{1.980612in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3467,7 +3467,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.452816in}% +\pgfsys@transformshift{0.512847in}{1.980612in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3486,12 +3486,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.452816in}% +\pgfsys@transformshift{3.801389in}{1.980612in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3500,8 +3500,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.490136in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.490136in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.040880in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.040880in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3519,7 +3519,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.490136in}% +\pgfsys@transformshift{0.512847in}{2.040880in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3538,12 +3538,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.490136in}% +\pgfsys@transformshift{3.801389in}{2.040880in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3552,8 +3552,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.527457in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.527457in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.101148in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.101148in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3571,7 +3571,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.527457in}% +\pgfsys@transformshift{0.512847in}{2.101148in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3590,12 +3590,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.527457in}% +\pgfsys@transformshift{3.801389in}{2.101148in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3604,8 +3604,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.564777in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.564777in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.161416in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.161416in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3623,7 +3623,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.564777in}% +\pgfsys@transformshift{0.512847in}{2.161416in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3642,12 +3642,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.564777in}% +\pgfsys@transformshift{3.801389in}{2.161416in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3656,8 +3656,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.602098in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.602098in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.221685in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.221685in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3675,7 +3675,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.602098in}% +\pgfsys@transformshift{0.512847in}{2.221685in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3694,12 +3694,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.602098in}% +\pgfsys@transformshift{3.801389in}{2.221685in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3708,8 +3708,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.639418in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.639418in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.281953in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.281953in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3727,7 +3727,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.639418in}% +\pgfsys@transformshift{0.512847in}{2.281953in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3746,12 +3746,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.639418in}% +\pgfsys@transformshift{3.801389in}{2.281953in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3760,8 +3760,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.676738in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.676738in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.342221in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.342221in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3779,7 +3779,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.676738in}% +\pgfsys@transformshift{0.512847in}{2.342221in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3798,12 +3798,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.676738in}% +\pgfsys@transformshift{3.801389in}{2.342221in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3812,8 +3812,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.751379in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.751379in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.462757in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.462757in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3831,7 +3831,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.751379in}% +\pgfsys@transformshift{0.512847in}{2.462757in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3850,12 +3850,12 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.751379in}% +\pgfsys@transformshift{3.801389in}{2.462757in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% \begin{pgfscope}% -\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{1.206944in}}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% \pgfusepath{clip}% \pgfsetrectcap% \pgfsetroundjoin% @@ -3864,8 +3864,8 @@ \pgfsetstrokecolor{currentstroke}% \pgfsetstrokeopacity{0.300000}% \pgfsetdash{}{0pt}% -\pgfpathmoveto{\pgfqpoint{0.512847in}{1.788700in}}% -\pgfpathlineto{\pgfqpoint{3.801389in}{1.788700in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.523025in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.523025in}}% \pgfusepath{stroke}% \end{pgfscope}% \begin{pgfscope}% @@ -3883,7 +3883,7 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{0.512847in}{1.788700in}% +\pgfsys@transformshift{0.512847in}{2.523025in}% \pgfsys@useobject{currentmarker}{}% \end{pgfscope}% \end{pgfscope}% @@ -3902,7 +3902,215 @@ \pgfusepath{stroke,fill}% }% \begin{pgfscope}% -\pgfsys@transformshift{3.801389in}{1.788700in}% +\pgfsys@transformshift{3.801389in}{2.523025in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% +\pgfusepath{clip}% +\pgfsetrectcap% +\pgfsetroundjoin% +\pgfsetlinewidth{0.803000pt}% +\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.300000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.583294in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.583294in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.602250pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.027778in}{0.000000in}}{\pgfqpoint{0.000000in}{0.000000in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{-0.027778in}{0.000000in}}% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.512847in}{2.583294in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.602250pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{0.000000in}{0.000000in}}{\pgfqpoint{0.027778in}{0.000000in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{0.027778in}{0.000000in}}% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{3.801389in}{2.583294in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfpathrectangle{\pgfqpoint{0.512847in}{0.594444in}}{\pgfqpoint{3.288542in}{2.206944in}}% +\pgfusepath{clip}% +\pgfsetrectcap% +\pgfsetroundjoin% +\pgfsetlinewidth{0.803000pt}% +\definecolor{currentstroke}{rgb}{0.690196,0.690196,0.690196}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetstrokeopacity{0.300000}% +\pgfsetdash{}{0pt}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.643562in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.643562in}}% +\pgfusepath{stroke}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.602250pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% +\pgfsys@defobject{currentmarker}{\pgfqpoint{-0.027778in}{0.000000in}}{\pgfqpoint{0.000000in}{0.000000in}}{% +\pgfpathmoveto{\pgfqpoint{0.000000in}{0.000000in}}% +\pgfpathlineto{\pgfqpoint{-0.027778in}{0.000000in}}% +\pgfusepath{stroke,fill}% +}% +\begin{pgfscope}% +\pgfsys@transformshift{0.512847in}{2.643562in}% +\pgfsys@useobject{currentmarker}{}% +\end{pgfscope}% +\end{pgfscope}% +\begin{pgfscope}% +\pgfsetbuttcap% +\pgfsetroundjoin% +\definecolor{currentfill}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetfillcolor{currentfill}% +\pgfsetlinewidth{0.602250pt}% +\definecolor{currentstroke}{rgb}{0.000000,0.000000,0.000000}% +\pgfsetstrokecolor{currentstroke}% +\pgfsetdash{}{0pt}% 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-\pgfpathlineto{\pgfqpoint{3.801389in}{1.801389in}}% +\pgfpathmoveto{\pgfqpoint{0.512847in}{2.801389in}}% +\pgfpathlineto{\pgfqpoint{3.801389in}{2.801389in}}% \pgfusepath{stroke}% \end{pgfscope}% \end{pgfpicture}% diff --git a/prog/python/qqgg/figs/xs/xs_integrand.pdf b/prog/python/qqgg/figs/xs/xs_integrand.pdf index 5a2a3b6..0e9e6c6 100644 Binary files a/prog/python/qqgg/figs/xs/xs_integrand.pdf and b/prog/python/qqgg/figs/xs/xs_integrand.pdf differ diff --git a/prog/python/qqgg/monte_carlo.py b/prog/python/qqgg/monte_carlo.py index e88ecd4..098013d 100644 --- a/prog/python/qqgg/monte_carlo.py +++ b/prog/python/qqgg/monte_carlo.py @@ -14,10 +14,9 @@ def _process_interval(interval): if b < a: a, b = b, a - return interval + return [a, b] -@process_arg(1, _process_interval) def integrate(f, interval, point_density=1000, seed=None, **kwargs): """Monte-Carlo integrates the functin `f` in an interval. @@ -36,7 +35,6 @@ def integrate(f, interval, point_density=1000, seed=None, **kwargs): interval_length = (interval[1] - interval[0]) num_points = int(interval_length * point_density) - points = np.random.uniform(interval[0], interval[1], num_points) sample = f(points, **kwargs) @@ -45,6 +43,7 @@ def integrate(f, interval, point_density=1000, seed=None, **kwargs): return integral, deviation + def find_upper_bound(f, interval, **kwargs): """Find the upper bound of a function. @@ -88,7 +87,7 @@ def sample_unweighted(f, interval, upper_bound=None, seed=None, def allocate_random_chunk(): return np.random.uniform([interval[0], 0], [interval[1], 1], - [chunk_size*interval_length, 2]) + [int(chunk_size*interval_length), 2]) while True: points = allocate_random_chunk() @@ -96,3 +95,13 @@ def sample_unweighted(f, interval, upper_bound=None, seed=None, [np.where(f(points[:, 0]) > points[:, 1]*upper_bound)] for point in sample_points: yield point + +def sample_unweighted_array(num, *args, **kwargs): + """Sample `num` elements from a distribution. The rest of the + arguments is analogous to `sample_unweighted`. + """ + + sample_arr = np.empty(num) + for i, sample in zip(range(num), sample_unweighted(*args, **kwargs)): + sample_arr[i] = sample + return sample_arr diff --git a/prog/python/qqgg/obipy-resources/lOkEKe.png b/prog/python/qqgg/obipy-resources/4mne94.png similarity index 100% rename from prog/python/qqgg/obipy-resources/lOkEKe.png rename to prog/python/qqgg/obipy-resources/4mne94.png diff --git a/prog/python/qqgg/obipy-resources/EvlB5m.png b/prog/python/qqgg/obipy-resources/DHBTl1.png similarity index 100% rename from prog/python/qqgg/obipy-resources/EvlB5m.png rename to prog/python/qqgg/obipy-resources/DHBTl1.png diff --git a/prog/python/qqgg/obipy-resources/I7AUEF.png b/prog/python/qqgg/obipy-resources/I7AUEF.png deleted file mode 100644 index 82cfb4f..0000000 Binary files a/prog/python/qqgg/obipy-resources/I7AUEF.png and /dev/null differ diff --git a/prog/python/qqgg/obipy-resources/Ix0X0o.png b/prog/python/qqgg/obipy-resources/Ix0X0o.png deleted file mode 100644 index fbdb05c..0000000 Binary files a/prog/python/qqgg/obipy-resources/Ix0X0o.png and /dev/null differ diff --git a/prog/python/qqgg/obipy-resources/S2OvbR.png b/prog/python/qqgg/obipy-resources/S2OvbR.png new file mode 100644 index 0000000..abf204a Binary files /dev/null and b/prog/python/qqgg/obipy-resources/S2OvbR.png differ diff --git a/prog/python/qqgg/obipy-resources/UtLSDE.png b/prog/python/qqgg/obipy-resources/UtLSDE.png deleted file mode 100644 index 3e55dfe..0000000 Binary files a/prog/python/qqgg/obipy-resources/UtLSDE.png and /dev/null differ diff --git a/prog/python/qqgg/obipy-resources/ZSJaBQ.png b/prog/python/qqgg/obipy-resources/ZSJaBQ.png new file mode 100644 index 0000000..7d6c423 Binary files /dev/null and b/prog/python/qqgg/obipy-resources/ZSJaBQ.png differ diff --git a/prog/python/qqgg/obipy-resources/nW1TKv.png b/prog/python/qqgg/obipy-resources/nW1TKv.png new file mode 100644 index 0000000..259aa15 Binary files /dev/null and b/prog/python/qqgg/obipy-resources/nW1TKv.png differ diff --git a/prog/python/qqgg/results/xs_mc.tex b/prog/python/qqgg/results/xs_mc.tex index d8b6a7d..41c53ff 100644 --- a/prog/python/qqgg/results/xs_mc.tex +++ b/prog/python/qqgg/results/xs_mc.tex @@ -1 +1 @@ -\(\sigma = \SI{0.05382}{\pico\barn}\) +\(\sigma = \SI{0.05361}{\pico\barn}\) diff --git a/prog/python/qqgg/sample_impulses.py b/prog/python/qqgg/sample_impulses.py new file mode 100644 index 0000000..8b13789 --- /dev/null +++ b/prog/python/qqgg/sample_impulses.py @@ -0,0 +1 @@ + diff --git a/prog/python/qqgg/tangled/observables.py b/prog/python/qqgg/tangled/observables.py new file mode 100644 index 0000000..5a2a7ea --- /dev/null +++ b/prog/python/qqgg/tangled/observables.py @@ -0,0 +1,18 @@ +"""This module defines some observables on arrays of 4-pulses.""" +import numpy as np + +def p_t(p): + """Transverse impulse + + :param p: array of 4-impulses + """ + + return np.linalg.norm(p[:,1:3], axis=1) + +def η(p): + """Pseudo rapidity. + + :param p: array of 4-impulses + """ + + return np.arccosh(np.linalg.norm(p[:,1:], axis=1)/p_t(p))*np.sign(p[:, 3]) diff --git a/prog/python/qqgg/tangled/xs.py b/prog/python/qqgg/tangled/xs.py index 738d31e..45c9569 100644 --- a/prog/python/qqgg/tangled/xs.py +++ b/prog/python/qqgg/tangled/xs.py @@ -1,3 +1,7 @@ +import numpy as np +import matplotlib.pyplot as plt +import monte_carlo + """ Implementation of the analytical cross section for q q_bar -> gamma gamma @@ -101,3 +105,31 @@ def total_xs_eta(η, charge, esp): return np.tanh(x) - 2*x return 2*np.pi*f*(F(η[0]) - F(η[1])) + +def sample_impulses(sample_num, interval, charge, esp, seed=None): + """Samples `sample_num` unweighted photon 4-impulses from the cross-section. + + :param sample_num: number of samples to take + :param interval: cosθ interval to sample from + :param charge: the charge of the quark + :param esp: center of mass energy + :param seed: the seed for the rng, optional, default is system + time + + :returns: an array of 4 photon impulses + :rtype: np.ndarray + """ + cosθ_sample = \ + monte_carlo.sample_unweighted_array(sample_num, + lambda x: + diff_xs_cosθ(x, charge, esp), + interval_cosθ) + φ_sample = np.random.uniform(0, 1, sample_num) + + def make_impulse(esp, cosθ, φ): + sinθ = np.sqrt(1-cosθ**2) + return np.array([1, sinθ*np.cos(φ), sinθ*np.sin(φ), cosθ])*esp/2 + + impulses = np.array([make_impulse(esp, cosθ, φ) \ + for cosθ, φ in np.array([cosθ_sample, φ_sample]).T]) + return impulses diff --git a/prog/python/qqgg/xs.py b/prog/python/qqgg/xs.py new file mode 100644 index 0000000..dee8b2f --- /dev/null +++ b/prog/python/qqgg/xs.py @@ -0,0 +1,2 @@ +import numpy as np +import matplotlib.pyplot as plt