aboutsummaryrefslogtreecommitdiffstats
path: root/doc/thesis
diff options
context:
space:
mode:
Diffstat (limited to 'doc/thesis')
-rw-r--r--doc/thesis/Makefile4
-rw-r--r--doc/thesis/chapters/theory.tex63
-rw-r--r--doc/thesis/figures/data/multipath_frequency_response.dat620
-rw-r--r--doc/thesis/figures/data/multipath_frequency_response.py6
-rw-r--r--doc/thesis/figures/tikz/multipath-frequency-response-plots.tex10
-rw-r--r--doc/thesis/misc/VeraMoBI.ttfbin0 -> 55032 bytes
-rw-r--r--doc/thesis/misc/VeraMoBd.ttfbin0 -> 49052 bytes
-rw-r--r--doc/thesis/misc/VeraMoIt.ttfbin0 -> 54508 bytes
-rw-r--r--doc/thesis/misc/VeraMono.ttfbin0 -> 49224 bytes
-rw-r--r--doc/thesis/tex/docstyle.sty37
10 files changed, 401 insertions, 339 deletions
diff --git a/doc/thesis/Makefile b/doc/thesis/Makefile
index 167ad29..8933fe7 100644
--- a/doc/thesis/Makefile
+++ b/doc/thesis/Makefile
@@ -42,9 +42,11 @@ all: $(PDF)
%.pdf: %.tex $(SOURCES) $(DATA)
$(TEX) $(TEXARGS) $<
- # TODO: makeindex
+ # bibliography
biber $(basename $(MAIN))
$(TEX) $(TEXARGS) $<
+ # embed fonts
+ gs -dNOPAUSE -dBATCH -sDEVICE=pdfwrite -dEmbedAllFonts=true -sOutputFile=$@_font_embedded.pdf -f $@
.PHONY: clean cleanall
clean:
diff --git a/doc/thesis/chapters/theory.tex b/doc/thesis/chapters/theory.tex
index 36a9bee..1a0945b 100644
--- a/doc/thesis/chapters/theory.tex
+++ b/doc/thesis/chapters/theory.tex
@@ -159,15 +159,6 @@ In theory because wireless transmission happens through electromagnetic radiatio
In our model we are going to include an additive white Gaussian noise (AWGN) and a Rician (or Rayleighan) fading; both are required to model physical effects of the real world. The former in particular is relevant today, as it mathematically describes dense urban environments.
-\subsection{Additive white Gaussian noise}
-
-%% TODO: Discuss thermal stuff etc?
-\skelpar[3]{What does AWGN model?}
-\skelpar[3]{Mathematical model of AWGN, assumptions, limits etc.}
-\begin{equation}
- \skelline
-\end{equation}
-
\subsection{Geometric multipath fading model}
The simplest way to understand the multipath fading, is to consider it from a geometrical perspective. \figref{fig:multipath-sketch} is a sketch a wireless transmission system affected by multipath fading. The sender's antenna radiates an electromagnetic wave in the direction of the receiver (red line), however even under the best circumstances a part of the signal is dispersed in other directions (blue lines).
@@ -176,7 +167,7 @@ The simplest way to understand the multipath fading, is to consider it from a ge
\centering
\input{figures/tikz/multipath-sketch}
\caption{
- Sketch of channel with multipath fading
+ Sketch of channel with multipath fading.
\label{fig:multipath-sketch}
}
\end{figure}
@@ -190,6 +181,15 @@ The linearity of the model is justified by the assumption that the underlying el
A further complication arises, when one end (or both) is not stationary. In that case the lengths of the paths change over time, and as a result both the delays \(\tau_k\) as well as the attenuations \(c_k\) become functions of time: \(\tau_k(t)\) and \(c_k(t)\) respectively \cite{Gallager,Messier}. Even worse is when the velocity at which the device is moving is high, because then Doppler shifts of the electromagnetic wave frequency become non negligible \cite{Gallager}.
+\begin{figure}
+ \centering
+ \input{figures/tikz/multipath-impulse-response}
+ \caption{
+ LTV impulse response of a multipath fading channel.
+ \label{fig:multipath-impulse-response}
+ }
+\end{figure}
+
We have thus observed that the arrangement can be modelled as a linear time-\emph{varying} system (LTV), if the sender or the receiver (or anything else in the channel) is moving, and as a linear time \emph{invariant} (LTI) system if the geometry is stationary. Regardless of which of the two cases, linearity alone is sufficient to approximate the channel as finite impulse response (FIR) filter \cite{Messier}. We can rewrite LTV version of equation \eqref{eqn:geom-multipath-rx} using a convolution product as following:
\begin{align*}
r(t) = \sum_k c_k(t) s(t - \tau_k(t)) &= \sum_k c_k(t) \int_\mathbb{R} s(\tau) \delta(\tau - \tau_k(t)) \,d\tau \\
@@ -199,16 +199,7 @@ obtaining a new function
\begin{equation} \label{eqn:multipath-impulse-response}
h(\tau, t) = \sum_k c_k(t) \delta(\tau - \tau_k(t)),
\end{equation}
-that describes the \emph{channel impulse response} (CIR). This function is dependant on two time parameters: actual time \(t\) and convolution time \(\tau\). To better understand \(h(\tau, t)\), consider an example shown in figure \ref{fig:multipath-impulse-response}. Each stem represents a weighted Dirac delta, so each series of stems of the same color, along the convolution time \(\tau\) axis, is a channel response at some specific time \(t\). Along the other \(t\) axis we see how the entire channel response changes over time\footnote{In the figure only a finite number of stems was drawn, but actually \(h(\tau, t)\) is continuous in \(t\), i.e. the weights \(c_k(t)\) of the Dirac deltas change continuously.}. Notice that the stems are not quite aligned to the \(\tau\) time raster (dotted lines), that is because in \eqref{eqn:multipath-impulse-response} not only the weights \(c_k\) but also the delays \(\tau_k\) are time dependent.
-
-\begin{figure}
- \centering
- \input{figures/tikz/multipath-impulse-response}
- \caption{
- LTV impulse response of a multipath fading channel.
- \label{fig:multipath-impulse-response}
- }
-\end{figure}
+that describes the \emph{channel impulse response} (CIR). This function depends on two time parameters: actual time \(t\) and convolution time \(\tau\). To better understand \(h(\tau, t)\), consider an example shown in figure \ref{fig:multipath-impulse-response}. Each stem represents a weighted Dirac delta, so each series of stems of the same color, along the convolution time \(\tau\) axis, is a channel response at some specific time \(t\). Along the other \(t\) axis we see how the entire channel response changes over time\footnote{In the figure only a finite number of stems was drawn, but actually \(h(\tau, t)\) is continuous in \(t\), i.e. the weights \(c_k(t)\) of the Dirac deltas change continuously.}. Notice that the stems are not quite aligned to the \(\tau\) time raster (dotted lines), that is because in \eqref{eqn:multipath-impulse-response} not only the weights \(c_k\) but also the delays \(\tau_k\) are time dependent.
\subsection{Spectrum of a multipath fading channel}
@@ -233,7 +224,7 @@ Equation \eqref{eqn:multipath-frequency-response} shows that the frequency respo
\subsection{Discrete-time model}
-Since often in practice signal processing is done digitally, it is meaningful to discuss some properties of a discrete-time model. To keep the complexity of the model manageable some assumptions are necessary, thus the sent discrete signal \(s(n)\)\footnote{This is an abuse of notation. The argument \(n\) is used to mean the \(n\)-th digital sample of \(s\), whereas the \(s(t)\) is used for the analog waveform.} is assumed to have a finite single sided bandwidth \(W\). This implies that in the time-domain signal is a series of sinc-shaped pulses each shifted from the previous by a time interval \(T = 1 / (2W)\) (Nyquist rate):
+Since in practice signal processing is done digitally, it is meaningful to discuss the properties of a discrete-time model. To keep the complexity of the model manageable some assumptions are necessary, thus the sent discrete signal \(s(n)\)\footnote{This is an abuse of notation. The argument \(n\) is used to mean the \(n\)-th digital sample of \(s\), whereas \(s(t)\) is used for the analog waveform.} is assumed to have a finite single sided bandwidth \(W\). This implies that in the time-domain signal is a series of sinc-shaped pulses each shifted from the previous by a time interval \(T = 1 / (2W)\) (Nyquist rate):
\begin{equation}
s(t) = \sum_n s(n) \sinc(t/T - n)
\end{equation}
@@ -242,22 +233,34 @@ The waveform \(s(t)\) is then convolved with the CIR function \(h(\tau, t)\) (wi
r(t) &= \int_ \mathbb{R} \sum_n s(n) \sinc(\tau / T - n) \sum_k c_k(t) \delta(\tau - \tau_k(t)) \,d\tau \\
&= \sum_n s(n) \sum_k c_k(t) \sinc(t/T - \tau_k(t)/T - n),
\end{align*}
-which is then sampled at the Nyquist rate of \(2W = 1/T\), resulting in a set of samples\footnote{Again, the abuse of notation \(r(m)\) means the \(m\)-th digital sample of \(r(t)\).}:
-\begin{equation} \label{eqn:discr-multipath-rx}
+which is then sampled at the Nyquist rate of \(2W = 1/T\), resulting in a set of samples\footnote{Again, the abusing notation \(r(m)\) means the \(m\)-th digital sample of \(r(t)\).}:
+\[
r(m) = \sum_n s(n) \sum_k c_k(mT) \sinc(m - \tau_k(mT)/T - n).
-\end{equation}
-Finally the substitution \(l = m - n\) eliminates the sender's sample counter \(n\) from \eqref{eqn:discr-multipath-rx} and reformulates it as a discrete convolution product with a discrete CIR function \(h_l(m)\):
+\]
+Finally the substitution \(l = m - n\) eliminates the sender's sample counter \(n\) (unknown to the receiver) and reformulates \(r(m)\) as a discrete convolution product of with a discrete CIR function \(h_l(m)\):
\begin{equation}
r(m) = \sum_l s(m - l) \sum_k c_k(mT) \sinc(l - \tau_k(mT)/T)
= \sum_l s(m - l) h_l (m).
\end{equation}
-This result is very similar to the continuous time model described by \eqref{eqn:multipath-impulse-response} in the sense that each received digital sample is the sent sample convolved with a different discrete channel response (because of time variance).
+This result is very similar to the continuous time model described by \eqref{eqn:multipath-impulse-response} in the sense that each received digital sample is a sent sample convolved with a different discrete channel response (because of time variance). To see how the discrete CIR
+\begin{equation} \label{eqn:discrete-multipath-impulse-response}
+ h_l(m) = \sum_k c_k(mT) \sinc(l - \tau(mT)/T)
+\end{equation}
+is different from \eqref{eqn:multipath-impulse-response} consider again the plot of \(h(\tau,t)\) in \figref{fig:multipath-impulse-response}. The plot of \(h_l(m)\) would have discrete axes with \(m\) replacing \(t\) and \(l\) instead of \(\tau\), and because of the finite bandwidth in the \(l\) axis instead of Dirac deltas there would be superposed sinc functions.
-\skelpar[3]{Mathematical discretization}
+From another perspective equation \eqref{eqn:discrete-multipath-impulse-response} is a simple tapped delay line FIR filter, which is very easy to implement. In fact multipath channels can be easily simulated with just a few lines of code. For example \figref{fig:multipath-frequency-response} is implemented in four lines of Python as shown in listing \ref{lst:two-tap-fir}.
-\begin{equation}
- h(n, k) = \skelline[8cm]{Discrete-time multipath fading channel impulse response}
-\end{equation}
+\begin{lstlisting}[language=python, captionpos=b, caption={
+ Simulation of a multipath channel using a 2 tap FIR filter.
+}, label={lst:two-tap-fir}]
+import numpy as np
+
+def tap(c, tau, f):
+ return np.exp(2j * np.pi * f * tau)
+
+f = np.logspace(5, 8, num=320)
+multipath = tap(.8, 500e-9, f) + tap(.4, 300e-9, f)
+\end{lstlisting}
\skelpar[3]{Discrete frequency response. Discuss bins, etc.}
diff --git a/doc/thesis/figures/data/multipath_frequency_response.dat b/doc/thesis/figures/data/multipath_frequency_response.dat
index bb10780..905dbf1 100644
--- a/doc/thesis/figures/data/multipath_frequency_response.dat
+++ b/doc/thesis/figures/data/multipath_frequency_response.dat
@@ -1,300 +1,320 @@
-1.000000e+05 1.000000e-05 1.996053e-05 1.000000e+00 -1.133108e-15 -8.090170e-01 -5.877853e-01 1.909830e-01 -5.877853e-01
-1.031283e+05 9.696658e-06 1.935262e-05 9.999862e-01 5.253475e-03 -8.071602e-01 -5.903324e-01 1.928260e-01 -5.850790e-01
-1.063545e+05 9.402517e-06 1.876306e-05 9.999448e-01 1.050681e-02 -8.052954e-01 -5.928737e-01 1.946494e-01 -5.823669e-01
-1.096816e+05 9.117299e-06 1.819132e-05 9.998758e-01 1.575985e-02 -8.034226e-01 -5.954092e-01 1.964532e-01 -5.796493e-01
-1.131128e+05 8.840733e-06 1.763683e-05 9.997792e-01 2.101245e-02 -8.015419e-01 -5.979387e-01 1.982374e-01 -5.769262e-01
-1.166513e+05 8.572557e-06 1.709908e-05 9.996550e-01 2.626448e-02 -7.996531e-01 -6.004622e-01 2.000019e-01 -5.741978e-01
-1.203005e+05 8.312515e-06 1.657756e-05 9.995033e-01 3.151578e-02 -7.977564e-01 -6.029798e-01 2.017468e-01 -5.714641e-01
-1.240639e+05 8.060361e-06 1.607177e-05 9.993239e-01 3.676621e-02 -7.958518e-01 -6.054914e-01 2.034721e-01 -5.687252e-01
-1.279450e+05 7.815857e-06 1.558123e-05 9.991170e-01 4.201562e-02 -7.939393e-01 -6.079970e-01 2.051777e-01 -5.659814e-01
-1.319476e+05 7.578769e-06 1.510548e-05 9.988824e-01 4.726388e-02 -7.920189e-01 -6.104966e-01 2.068636e-01 -5.632327e-01
-1.360753e+05 7.348873e-06 1.464406e-05 9.986204e-01 5.251083e-02 -7.900906e-01 -6.129901e-01 2.085297e-01 -5.604792e-01
-1.403322e+05 7.125951e-06 1.419654e-05 9.983307e-01 5.775633e-02 -7.881545e-01 -6.154775e-01 2.101762e-01 -5.577211e-01
-1.447222e+05 6.909791e-06 1.376249e-05 9.980135e-01 6.300024e-02 -7.862105e-01 -6.179587e-01 2.118030e-01 -5.549585e-01
-1.492496e+05 6.700188e-06 1.334150e-05 9.976688e-01 6.824241e-02 -7.842588e-01 -6.204339e-01 2.134100e-01 -5.521915e-01
-1.539186e+05 6.496943e-06 1.293317e-05 9.972965e-01 7.348270e-02 -7.822992e-01 -6.229029e-01 2.149973e-01 -5.494202e-01
-1.587336e+05 6.299863e-06 1.253711e-05 9.968967e-01 7.872096e-02 -7.803319e-01 -6.253656e-01 2.165648e-01 -5.466447e-01
-1.636993e+05 6.108762e-06 1.215295e-05 9.964694e-01 8.395704e-02 -7.783568e-01 -6.278222e-01 2.181126e-01 -5.438652e-01
-1.688203e+05 5.923457e-06 1.178033e-05 9.960146e-01 8.919081e-02 -7.763739e-01 -6.302726e-01 2.196406e-01 -5.410817e-01
-1.741016e+05 5.743774e-06 1.141888e-05 9.955323e-01 9.442212e-02 -7.743834e-01 -6.327166e-01 2.211488e-01 -5.382945e-01
-1.795480e+05 5.569541e-06 1.106827e-05 9.950225e-01 9.965082e-02 -7.723852e-01 -6.351544e-01 2.226373e-01 -5.355036e-01
-1.851648e+05 5.400593e-06 1.072817e-05 9.944852e-01 1.048768e-01 -7.703793e-01 -6.375859e-01 2.241059e-01 -5.327091e-01
-1.909574e+05 5.236771e-06 1.039824e-05 9.939205e-01 1.100998e-01 -7.683657e-01 -6.400110e-01 2.255548e-01 -5.299112e-01
-1.969311e+05 5.077917e-06 1.007819e-05 9.933284e-01 1.153198e-01 -7.663445e-01 -6.424298e-01 2.269839e-01 -5.271100e-01
-2.030918e+05 4.923883e-06 9.767697e-06 9.927089e-01 1.205367e-01 -7.643157e-01 -6.448422e-01 2.283932e-01 -5.243055e-01
-2.094451e+05 4.774521e-06 9.466475e-06 9.920619e-01 1.257502e-01 -7.622793e-01 -6.472482e-01 2.297826e-01 -5.214980e-01
-2.159972e+05 4.629689e-06 9.174237e-06 9.913876e-01 1.309602e-01 -7.602353e-01 -6.496478e-01 2.311523e-01 -5.186875e-01
-2.227543e+05 4.489251e-06 8.890706e-06 9.906859e-01 1.361666e-01 -7.581838e-01 -6.520409e-01 2.325021e-01 -5.158742e-01
-2.297228e+05 4.353073e-06 8.615613e-06 9.899569e-01 1.413693e-01 -7.561248e-01 -6.544275e-01 2.338322e-01 -5.130582e-01
-2.369092e+05 4.221026e-06 8.348697e-06 9.892006e-01 1.465681e-01 -7.540582e-01 -6.568076e-01 2.351424e-01 -5.102395e-01
-2.443205e+05 4.092985e-06 8.089705e-06 9.884169e-01 1.517628e-01 -7.519841e-01 -6.591812e-01 2.364328e-01 -5.074184e-01
-2.519636e+05 3.968827e-06 7.838391e-06 9.876060e-01 1.569533e-01 -7.499026e-01 -6.615483e-01 2.377034e-01 -5.045949e-01
-2.598458e+05 3.848436e-06 7.594517e-06 9.867678e-01 1.621395e-01 -7.478136e-01 -6.639088e-01 2.389543e-01 -5.017692e-01
-2.679746e+05 3.731697e-06 7.357851e-06 9.859024e-01 1.673212e-01 -7.457172e-01 -6.662626e-01 2.401853e-01 -4.989414e-01
-2.763577e+05 3.618499e-06 7.128170e-06 9.850098e-01 1.724984e-01 -7.436133e-01 -6.686099e-01 2.413965e-01 -4.961115e-01
-2.850030e+05 3.508734e-06 6.905255e-06 9.840900e-01 1.776707e-01 -7.415021e-01 -6.709505e-01 2.425879e-01 -4.932798e-01
-2.939188e+05 3.402300e-06 6.688894e-06 9.831430e-01 1.828381e-01 -7.393835e-01 -6.732845e-01 2.437595e-01 -4.904463e-01
-3.031136e+05 3.299094e-06 6.478884e-06 9.821689e-01 1.880005e-01 -7.372576e-01 -6.756117e-01 2.449113e-01 -4.876112e-01
-3.125959e+05 3.199018e-06 6.275025e-06 9.811677e-01 1.931577e-01 -7.351244e-01 -6.779323e-01 2.460434e-01 -4.847745e-01
-3.223749e+05 3.101979e-06 6.077123e-06 9.801394e-01 1.983096e-01 -7.329838e-01 -6.802461e-01 2.471556e-01 -4.819365e-01
-3.324598e+05 3.007883e-06 5.884992e-06 9.790841e-01 2.034560e-01 -7.308360e-01 -6.825531e-01 2.482481e-01 -4.790971e-01
-3.428602e+05 2.916641e-06 5.698448e-06 9.780017e-01 2.085968e-01 -7.286809e-01 -6.848534e-01 2.493209e-01 -4.762566e-01
-3.535859e+05 2.828167e-06 5.517317e-06 9.768924e-01 2.137318e-01 -7.265185e-01 -6.871469e-01 2.503739e-01 -4.734151e-01
-3.646472e+05 2.742377e-06 5.341425e-06 9.757561e-01 2.188610e-01 -7.243490e-01 -6.894335e-01 2.514071e-01 -4.705726e-01
-3.760545e+05 2.659189e-06 5.170607e-06 9.745928e-01 2.239840e-01 -7.221722e-01 -6.917133e-01 2.524206e-01 -4.677293e-01
-3.878187e+05 2.578524e-06 5.004700e-06 9.734027e-01 2.291010e-01 -7.199883e-01 -6.939862e-01 2.534144e-01 -4.648853e-01
-3.999509e+05 2.500307e-06 4.843549e-06 9.721857e-01 2.342115e-01 -7.177972e-01 -6.962523e-01 2.543885e-01 -4.620407e-01
-4.124626e+05 2.424462e-06 4.687000e-06 9.709418e-01 2.393157e-01 -7.155990e-01 -6.985114e-01 2.553429e-01 -4.591957e-01
-4.253658e+05 2.350918e-06 4.534905e-06 9.696712e-01 2.444132e-01 -7.133936e-01 -7.007635e-01 2.562775e-01 -4.563504e-01
-4.386726e+05 2.279605e-06 4.387122e-06 9.683738e-01 2.495040e-01 -7.111812e-01 -7.030087e-01 2.571926e-01 -4.535048e-01
-4.523956e+05 2.210455e-06 4.243510e-06 9.670497e-01 2.545878e-01 -7.089617e-01 -7.052470e-01 2.580879e-01 -4.506591e-01
-4.665480e+05 2.143402e-06 4.103934e-06 9.656988e-01 2.596647e-01 -7.067352e-01 -7.074782e-01 2.589636e-01 -4.478135e-01
-4.811431e+05 2.078384e-06 3.968262e-06 9.643214e-01 2.647344e-01 -7.045017e-01 -7.097023e-01 2.598197e-01 -4.449680e-01
-4.961948e+05 2.015338e-06 3.836367e-06 9.629173e-01 2.697968e-01 -7.022611e-01 -7.119195e-01 2.606562e-01 -4.421227e-01
-5.117173e+05 1.954204e-06 3.708124e-06 9.614866e-01 2.748517e-01 -7.000136e-01 -7.141295e-01 2.614730e-01 -4.392778e-01
-5.277254e+05 1.894925e-06 3.583414e-06 9.600294e-01 2.798991e-01 -6.977591e-01 -7.163325e-01 2.622703e-01 -4.364334e-01
-5.442344e+05 1.837444e-06 3.462118e-06 9.585457e-01 2.849387e-01 -6.954977e-01 -7.185283e-01 2.630481e-01 -4.335896e-01
-5.612597e+05 1.781706e-06 3.344123e-06 9.570356e-01 2.899705e-01 -6.932294e-01 -7.207170e-01 2.638062e-01 -4.307466e-01
-5.788177e+05 1.727660e-06 3.229319e-06 9.554990e-01 2.949942e-01 -6.909541e-01 -7.228986e-01 2.645449e-01 -4.279044e-01
-5.969250e+05 1.675252e-06 3.117598e-06 9.539361e-01 3.000098e-01 -6.886721e-01 -7.250729e-01 2.652640e-01 -4.250631e-01
-6.155987e+05 1.624435e-06 3.008856e-06 9.523468e-01 3.050172e-01 -6.863832e-01 -7.272401e-01 2.659637e-01 -4.222229e-01
-6.348565e+05 1.575159e-06 2.902992e-06 9.507313e-01 3.100161e-01 -6.840874e-01 -7.294000e-01 2.666439e-01 -4.193839e-01
-6.547168e+05 1.527378e-06 2.799908e-06 9.490895e-01 3.150065e-01 -6.817849e-01 -7.315527e-01 2.673046e-01 -4.165463e-01
-6.751985e+05 1.481046e-06 2.699508e-06 9.474215e-01 3.199881e-01 -6.794756e-01 -7.336981e-01 2.679460e-01 -4.137100e-01
-6.963208e+05 1.436120e-06 2.601700e-06 9.457274e-01 3.249610e-01 -6.771595e-01 -7.358363e-01 2.685679e-01 -4.108753e-01
-7.181039e+05 1.392556e-06 2.506393e-06 9.440072e-01 3.299248e-01 -6.748367e-01 -7.379671e-01 2.691705e-01 -4.080422e-01
-7.405685e+05 1.350314e-06 2.413501e-06 9.422609e-01 3.348796e-01 -6.725072e-01 -7.400906e-01 2.697537e-01 -4.052109e-01
-7.637358e+05 1.309353e-06 2.322937e-06 9.404886e-01 3.398251e-01 -6.701710e-01 -7.422067e-01 2.703176e-01 -4.023816e-01
-7.876279e+05 1.269635e-06 2.234622e-06 9.386904e-01 3.447613e-01 -6.678282e-01 -7.443154e-01 2.708622e-01 -3.995542e-01
-8.122674e+05 1.231122e-06 2.148473e-06 9.368662e-01 3.496879e-01 -6.654787e-01 -7.464168e-01 2.713875e-01 -3.967289e-01
-8.376776e+05 1.193777e-06 2.064416e-06 9.350162e-01 3.546049e-01 -6.631227e-01 -7.485107e-01 2.718936e-01 -3.939059e-01
-8.638828e+05 1.157564e-06 1.982373e-06 9.331404e-01 3.595121e-01 -6.607600e-01 -7.505973e-01 2.723804e-01 -3.910852e-01
-8.909078e+05 1.122451e-06 1.902274e-06 9.312389e-01 3.644093e-01 -6.583908e-01 -7.526763e-01 2.728481e-01 -3.882670e-01
-9.187782e+05 1.088402e-06 1.824047e-06 9.293116e-01 3.692966e-01 -6.560150e-01 -7.547479e-01 2.732966e-01 -3.854513e-01
-9.475205e+05 1.055386e-06 1.747625e-06 9.273587e-01 3.741736e-01 -6.536327e-01 -7.568119e-01 2.737260e-01 -3.826384e-01
-9.771620e+05 1.023372e-06 1.672942e-06 9.253802e-01 3.790403e-01 -6.512439e-01 -7.588685e-01 2.741363e-01 -3.798282e-01
-1.007731e+06 9.923286e-07 1.599936e-06 9.233761e-01 3.838965e-01 -6.488486e-01 -7.609175e-01 2.745275e-01 -3.770210e-01
-1.039256e+06 9.622271e-07 1.528545e-06 9.213466e-01 3.887421e-01 -6.464469e-01 -7.629590e-01 2.748997e-01 -3.742168e-01
-1.071767e+06 9.330387e-07 1.458711e-06 9.192916e-01 3.935770e-01 -6.440388e-01 -7.649928e-01 2.752528e-01 -3.714158e-01
-1.105295e+06 9.047357e-07 1.390377e-06 9.172113e-01 3.984011e-01 -6.416243e-01 -7.670191e-01 2.755870e-01 -3.686180e-01
-1.139872e+06 8.772913e-07 1.323489e-06 9.151057e-01 4.032141e-01 -6.392034e-01 -7.690378e-01 2.759023e-01 -3.658236e-01
-1.175531e+06 8.506793e-07 1.257996e-06 9.129748e-01 4.080161e-01 -6.367761e-01 -7.710488e-01 2.761986e-01 -3.630327e-01
-1.212305e+06 8.248747e-07 1.193848e-06 9.108186e-01 4.128067e-01 -6.343425e-01 -7.730521e-01 2.764761e-01 -3.602454e-01
-1.250230e+06 7.998527e-07 1.130999e-06 9.086374e-01 4.175860e-01 -6.319026e-01 -7.750478e-01 2.767348e-01 -3.574618e-01
-1.289341e+06 7.755898e-07 1.069404e-06 9.064311e-01 4.223537e-01 -6.294565e-01 -7.770357e-01 2.769746e-01 -3.546820e-01
-1.329676e+06 7.520629e-07 1.009023e-06 9.041998e-01 4.271098e-01 -6.270041e-01 -7.790160e-01 2.771957e-01 -3.519062e-01
-1.371272e+06 7.292497e-07 9.498145e-07 9.019435e-01 4.318541e-01 -6.245454e-01 -7.809885e-01 2.773981e-01 -3.491344e-01
-1.414170e+06 7.071285e-07 8.917437e-07 8.996623e-01 4.365865e-01 -6.220806e-01 -7.829532e-01 2.775817e-01 -3.463668e-01
-1.458410e+06 6.856783e-07 8.347767e-07 8.973563e-01 4.413068e-01 -6.196095e-01 -7.849102e-01 2.777468e-01 -3.436034e-01
-1.504034e+06 6.648788e-07 7.788829e-07 8.950255e-01 4.460150e-01 -6.171323e-01 -7.868594e-01 2.778932e-01 -3.408444e-01
-1.551084e+06 6.447102e-07 7.240349e-07 8.926700e-01 4.507108e-01 -6.146490e-01 -7.888007e-01 2.780210e-01 -3.380899e-01
-1.599607e+06 6.251534e-07 6.702084e-07 8.902899e-01 4.553942e-01 -6.121596e-01 -7.907342e-01 2.781303e-01 -3.353400e-01
-1.649648e+06 6.061899e-07 6.173823e-07 8.878852e-01 4.600650e-01 -6.096641e-01 -7.926599e-01 2.782211e-01 -3.325949e-01
-1.701254e+06 5.878016e-07 5.655391e-07 8.854560e-01 4.647232e-01 -6.071625e-01 -7.945777e-01 2.782935e-01 -3.298545e-01
-1.754475e+06 5.699711e-07 5.146651e-07 8.830024e-01 4.693685e-01 -6.046549e-01 -7.964876e-01 2.783475e-01 -3.271191e-01
-1.809360e+06 5.526815e-07 4.647503e-07 8.805244e-01 4.740008e-01 -6.021413e-01 -7.983895e-01 2.783831e-01 -3.243887e-01
-1.865963e+06 5.359163e-07 4.157887e-07 8.780221e-01 4.786201e-01 -5.996217e-01 -8.002836e-01 2.784004e-01 -3.216635e-01
-1.924336e+06 5.196597e-07 3.677788e-07 8.754956e-01 4.832262e-01 -5.970962e-01 -8.021697e-01 2.783994e-01 -3.189435e-01
-1.984535e+06 5.038963e-07 3.207233e-07 8.729449e-01 4.878189e-01 -5.945647e-01 -8.040478e-01 2.783802e-01 -3.162289e-01
-2.046618e+06 4.886110e-07 2.746297e-07 8.703701e-01 4.923982e-01 -5.920273e-01 -8.059179e-01 2.783428e-01 -3.135198e-01
-2.110643e+06 4.737893e-07 2.295106e-07 8.677713e-01 4.969638e-01 -5.894840e-01 -8.077800e-01 2.782872e-01 -3.108162e-01
-2.176670e+06 4.594173e-07 1.853836e-07 8.651485e-01 5.015158e-01 -5.869349e-01 -8.096341e-01 2.782136e-01 -3.081183e-01
-2.244763e+06 4.454813e-07 1.422719e-07 8.625019e-01 5.060539e-01 -5.843799e-01 -8.114802e-01 2.781219e-01 -3.054263e-01
-2.314987e+06 4.319679e-07 1.002042e-07 8.598314e-01 5.105781e-01 -5.818192e-01 -8.133182e-01 2.780122e-01 -3.027401e-01
-2.387407e+06 4.188645e-07 5.921523e-08 8.571372e-01 5.150881e-01 -5.792526e-01 -8.151481e-01 2.778846e-01 -3.000600e-01
-2.462092e+06 4.061586e-07 1.934598e-08 8.544194e-01 5.195840e-01 -5.766803e-01 -8.169699e-01 2.777391e-01 -2.973859e-01
-2.539114e+06 3.938381e-07 1.935624e-08 8.516780e-01 5.240655e-01 -5.741023e-01 -8.187836e-01 2.775757e-01 -2.947181e-01
-2.618546e+06 3.818913e-07 5.683747e-08 8.489131e-01 5.285325e-01 -5.715186e-01 -8.205891e-01 2.773945e-01 -2.920567e-01
-2.700462e+06 3.703070e-07 9.303699e-08 8.461247e-01 5.329849e-01 -5.689291e-01 -8.223865e-01 2.771956e-01 -2.894016e-01
-2.784941e+06 3.590740e-07 1.278871e-07 8.433130e-01 5.374227e-01 -5.663341e-01 -8.241758e-01 2.769790e-01 -2.867531e-01
-2.872063e+06 3.481818e-07 1.613131e-07 8.404781e-01 5.418456e-01 -5.637334e-01 -8.259568e-01 2.767447e-01 -2.841112e-01
-2.961910e+06 3.376199e-07 1.932331e-07 8.376199e-01 5.462535e-01 -5.611271e-01 -8.277297e-01 2.764928e-01 -2.814761e-01
-3.054568e+06 3.273785e-07 2.235584e-07 8.347386e-01 5.506464e-01 -5.585152e-01 -8.294943e-01 2.762234e-01 -2.788479e-01
-3.150125e+06 3.174477e-07 2.521931e-07 8.318343e-01 5.550241e-01 -5.558978e-01 -8.312506e-01 2.759365e-01 -2.762265e-01
-3.248671e+06 3.078182e-07 2.790348e-07 8.289070e-01 5.593865e-01 -5.532749e-01 -8.329988e-01 2.756321e-01 -2.736123e-01
-3.350299e+06 2.984808e-07 3.039748e-07 8.259568e-01 5.637334e-01 -5.506464e-01 -8.347386e-01 2.753104e-01 -2.710052e-01
-3.455107e+06 2.894266e-07 3.268984e-07 8.229839e-01 5.680647e-01 -5.480125e-01 -8.364701e-01 2.749714e-01 -2.684054e-01
-3.563194e+06 2.806471e-07 3.476860e-07 8.199882e-01 5.723804e-01 -5.453732e-01 -8.381934e-01 2.746150e-01 -2.658129e-01
-3.674662e+06 2.721339e-07 3.662135e-07 8.169699e-01 5.766803e-01 -5.427284e-01 -8.399083e-01 2.742415e-01 -2.632280e-01
-3.789617e+06 2.638789e-07 3.823538e-07 8.139290e-01 5.809643e-01 -5.400782e-01 -8.416148e-01 2.738508e-01 -2.606505e-01
-3.908168e+06 2.558744e-07 3.959781e-07 8.108657e-01 5.852322e-01 -5.374227e-01 -8.433130e-01 2.734431e-01 -2.580808e-01
-4.030428e+06 2.481126e-07 4.069573e-07 8.077800e-01 5.894840e-01 -5.347618e-01 -8.450028e-01 2.730182e-01 -2.555188e-01
-4.156513e+06 2.405863e-07 4.151643e-07 8.046721e-01 5.937195e-01 -5.320956e-01 -8.466843e-01 2.725764e-01 -2.529647e-01
-4.286541e+06 2.332883e-07 4.204762e-07 8.015419e-01 5.979387e-01 -5.294241e-01 -8.483573e-01 2.721177e-01 -2.504186e-01
-4.420638e+06 2.262117e-07 4.227769e-07 7.983895e-01 6.021413e-01 -5.267474e-01 -8.500219e-01 2.716421e-01 -2.478806e-01
-4.558929e+06 2.193497e-07 4.219604e-07 7.952152e-01 6.063273e-01 -5.240655e-01 -8.516780e-01 2.711497e-01 -2.453507e-01
-4.701547e+06 2.126959e-07 4.179343e-07 7.920189e-01 6.104966e-01 -5.213783e-01 -8.533257e-01 2.706406e-01 -2.428291e-01
-4.848626e+06 2.062440e-07 4.106237e-07 7.888007e-01 6.146490e-01 -5.186859e-01 -8.549649e-01 2.701148e-01 -2.403158e-01
-5.000307e+06 1.999877e-07 3.999754e-07 7.855608e-01 6.187845e-01 -5.159884e-01 -8.565956e-01 2.695724e-01 -2.378111e-01
-5.156732e+06 1.939213e-07 3.859634e-07 7.822992e-01 6.229029e-01 -5.132858e-01 -8.582177e-01 2.690134e-01 -2.353149e-01
-5.318051e+06 1.880388e-07 3.685932e-07 7.790160e-01 6.270041e-01 -5.105781e-01 -8.598314e-01 2.684379e-01 -2.328274e-01
-5.484417e+06 1.823348e-07 3.479081e-07 7.757113e-01 6.310879e-01 -5.078652e-01 -8.614365e-01 2.678460e-01 -2.303486e-01
-5.655986e+06 1.768038e-07 3.239945e-07 7.723852e-01 6.351544e-01 -5.051474e-01 -8.630331e-01 2.672378e-01 -2.278787e-01
-5.832924e+06 1.714406e-07 2.969880e-07 7.690378e-01 6.392034e-01 -5.024245e-01 -8.646211e-01 2.666132e-01 -2.254177e-01
-6.015396e+06 1.662401e-07 2.670791e-07 7.656691e-01 6.432347e-01 -4.996967e-01 -8.662005e-01 2.659724e-01 -2.229658e-01
-6.203576e+06 1.611973e-07 2.345191e-07 7.622793e-01 6.472482e-01 -4.969638e-01 -8.677713e-01 2.653155e-01 -2.205231e-01
-6.397644e+06 1.563075e-07 1.996247e-07 7.588685e-01 6.512439e-01 -4.942261e-01 -8.693334e-01 2.646424e-01 -2.180895e-01
-6.597782e+06 1.515661e-07 1.627828e-07 7.554367e-01 6.552216e-01 -4.914834e-01 -8.708869e-01 2.639533e-01 -2.156654e-01
-6.804182e+06 1.469684e-07 1.244530e-07 7.519841e-01 6.591812e-01 -4.887358e-01 -8.724318e-01 2.632483e-01 -2.132506e-01
-7.017038e+06 1.425103e-07 8.516926e-08 7.485107e-01 6.631227e-01 -4.859834e-01 -8.739680e-01 2.625273e-01 -2.108454e-01
-7.236553e+06 1.381873e-07 4.553922e-08 7.450167e-01 6.670458e-01 -4.832262e-01 -8.754956e-01 2.617906e-01 -2.084498e-01
-7.462936e+06 1.339955e-07 6.240464e-09 7.415021e-01 6.709505e-01 -4.804641e-01 -8.770144e-01 2.610380e-01 -2.060639e-01
-7.696400e+06 1.299309e-07 3.198606e-08 7.379671e-01 6.748367e-01 -4.776973e-01 -8.785245e-01 2.602698e-01 -2.036878e-01
-7.937168e+06 1.259895e-07 6.834666e-08 7.344117e-01 6.787043e-01 -4.749257e-01 -8.800259e-01 2.594859e-01 -2.013216e-01
-8.185467e+06 1.221677e-07 1.020099e-07 7.308360e-01 6.825531e-01 -4.721495e-01 -8.815185e-01 2.586865e-01 -1.989654e-01
-8.441535e+06 1.184619e-07 1.321267e-07 7.272401e-01 6.863832e-01 -4.693685e-01 -8.830024e-01 2.578716e-01 -1.966192e-01
-8.705612e+06 1.148684e-07 1.578553e-07 7.236242e-01 6.901942e-01 -4.665828e-01 -8.844775e-01 2.570413e-01 -1.942833e-01
-8.977952e+06 1.113840e-07 1.783919e-07 7.199883e-01 6.939862e-01 -4.637926e-01 -8.859438e-01 2.561957e-01 -1.919576e-01
-9.258810e+06 1.080052e-07 1.930067e-07 7.163325e-01 6.977591e-01 -4.609977e-01 -8.874013e-01 2.553348e-01 -1.896422e-01
-9.548455e+06 1.047290e-07 2.010843e-07 7.126569e-01 7.015127e-01 -4.581982e-01 -8.888500e-01 2.544587e-01 -1.873373e-01
-9.847161e+06 1.015521e-07 2.021684e-07 7.089617e-01 7.052470e-01 -4.553942e-01 -8.902899e-01 2.535675e-01 -1.850430e-01
-1.015521e+07 9.847161e-08 1.960074e-07 7.052470e-01 7.089617e-01 -4.525857e-01 -8.917209e-01 2.526613e-01 -1.827592e-01
-1.047290e+07 9.548455e-08 1.826009e-07 7.015127e-01 7.126569e-01 -4.497726e-01 -8.931431e-01 2.517401e-01 -1.804861e-01
-1.080052e+07 9.258810e-08 1.622418e-07 6.977591e-01 7.163325e-01 -4.469551e-01 -8.945564e-01 2.508040e-01 -1.782239e-01
-1.113840e+07 8.977952e-08 1.355512e-07 6.939862e-01 7.199883e-01 -4.441332e-01 -8.959608e-01 2.498531e-01 -1.759725e-01
-1.148684e+07 8.705612e-08 1.035016e-07 6.901942e-01 7.236242e-01 -4.413068e-01 -8.973563e-01 2.488874e-01 -1.737321e-01
-1.184619e+07 8.441535e-08 6.742174e-08 6.863832e-01 7.272401e-01 -4.384761e-01 -8.987429e-01 2.479071e-01 -1.715028e-01
-1.221677e+07 8.185467e-08 2.897961e-08 6.825531e-01 7.308360e-01 -4.356410e-01 -9.001205e-01 2.469122e-01 -1.692846e-01
-1.259895e+07 7.937168e-08 9.863330e-09 6.787043e-01 7.344117e-01 -4.328015e-01 -9.014892e-01 2.459028e-01 -1.670776e-01
-1.299309e+07 7.696400e-08 4.693013e-08 6.748367e-01 7.379671e-01 -4.299578e-01 -9.028490e-01 2.448789e-01 -1.648819e-01
-1.339955e+07 7.462936e-08 7.994140e-08 6.709505e-01 7.415021e-01 -4.271098e-01 -9.041998e-01 2.438407e-01 -1.626976e-01
-1.381873e+07 7.236553e-08 1.066632e-07 6.670458e-01 7.450167e-01 -4.242576e-01 -9.055416e-01 2.427882e-01 -1.605248e-01
-1.425103e+07 7.017038e-08 1.250856e-07 6.631227e-01 7.485107e-01 -4.214011e-01 -9.068744e-01 2.417216e-01 -1.583636e-01
-1.469684e+07 6.804182e-08 1.336224e-07 6.591812e-01 7.519841e-01 -4.185405e-01 -9.081982e-01 2.406408e-01 -1.562140e-01
-1.515661e+07 6.597782e-08 1.313173e-07 6.552216e-01 7.554367e-01 -4.156757e-01 -9.095129e-01 2.395459e-01 -1.540762e-01
-1.563075e+07 6.397644e-08 1.180352e-07 6.512439e-01 7.588685e-01 -4.128067e-01 -9.108186e-01 2.384372e-01 -1.519502e-01
-1.611973e+07 6.203576e-08 9.461085e-08 6.472482e-01 7.622793e-01 -4.099337e-01 -9.121153e-01 2.373145e-01 -1.498360e-01
-1.662401e+07 6.015396e-08 6.292452e-08 6.432347e-01 7.656691e-01 -4.070566e-01 -9.134029e-01 2.361781e-01 -1.477338e-01
-1.714406e+07 5.832924e-08 2.587289e-08 6.392034e-01 7.690378e-01 -4.041754e-01 -9.146815e-01 2.350279e-01 -1.456437e-01
-1.768038e+07 5.655986e-08 1.279325e-08 6.351544e-01 7.723852e-01 -4.012902e-01 -9.159509e-01 2.338642e-01 -1.435658e-01
-1.823348e+07 5.484417e-08 4.878035e-08 6.310879e-01 7.757113e-01 -3.984011e-01 -9.172113e-01 2.326869e-01 -1.415000e-01
-1.880388e+07 5.318051e-08 7.771116e-08 6.270041e-01 7.790160e-01 -3.955080e-01 -9.184625e-01 2.314961e-01 -1.394466e-01
-1.939213e+07 5.156732e-08 9.570315e-08 6.229029e-01 7.822992e-01 -3.926109e-01 -9.197047e-01 2.302919e-01 -1.374055e-01
-1.999877e+07 5.000307e-08 1.000061e-07 6.187845e-01 7.855608e-01 -3.897100e-01 -9.209376e-01 2.290745e-01 -1.353768e-01
-2.062440e+07 4.848626e-08 8.960498e-08 6.146490e-01 7.888007e-01 -3.868052e-01 -9.221615e-01 2.278438e-01 -1.333607e-01
-2.126959e+07 4.701547e-08 6.566633e-08 6.104966e-01 7.920189e-01 -3.838965e-01 -9.233761e-01 2.266001e-01 -1.313572e-01
-2.193497e+07 4.558929e-08 3.169419e-08 6.063273e-01 7.952152e-01 -3.809840e-01 -9.245816e-01 2.253433e-01 -1.293664e-01
-2.262117e+07 4.420638e-08 6.724621e-09 6.021413e-01 7.983895e-01 -3.780678e-01 -9.257779e-01 2.240735e-01 -1.273884e-01
-2.332883e+07 4.286541e-08 4.265521e-08 5.979387e-01 8.015419e-01 -3.751477e-01 -9.269650e-01 2.227909e-01 -1.254232e-01
-2.405863e+07 4.156513e-08 6.900779e-08 5.937195e-01 8.046721e-01 -3.722240e-01 -9.281429e-01 2.214955e-01 -1.234709e-01
-2.481126e+07 4.030428e-08 8.004242e-08 5.894840e-01 8.077800e-01 -3.692966e-01 -9.293116e-01 2.201875e-01 -1.215316e-01
-2.558744e+07 3.908168e-08 7.289935e-08 5.852322e-01 8.108657e-01 -3.663654e-01 -9.304710e-01 2.188668e-01 -1.196053e-01
-2.638789e+07 3.789617e-08 4.875477e-08 5.809643e-01 8.139290e-01 -3.634307e-01 -9.316212e-01 2.175336e-01 -1.176922e-01
-2.721339e+07 3.674662e-08 1.316352e-08 5.766803e-01 8.169699e-01 -3.604923e-01 -9.327622e-01 2.161880e-01 -1.157923e-01
-2.806471e+07 3.563194e-08 2.475840e-08 5.723804e-01 8.199882e-01 -3.575504e-01 -9.338938e-01 2.148300e-01 -1.139057e-01
-2.894266e+07 3.455107e-08 5.440553e-08 5.680647e-01 8.229839e-01 -3.546049e-01 -9.350162e-01 2.134599e-01 -1.120324e-01
-2.984808e+07 3.350299e-08 6.670095e-08 5.637334e-01 8.259568e-01 -3.516559e-01 -9.361293e-01 2.120775e-01 -1.101725e-01
-3.078182e+07 3.248671e-08 5.729043e-08 5.593865e-01 8.289070e-01 -3.487034e-01 -9.372331e-01 2.106831e-01 -1.083262e-01
-3.174477e+07 3.150125e-08 2.878670e-08 5.550241e-01 8.318343e-01 -3.457474e-01 -9.383276e-01 2.092767e-01 -1.064934e-01
-3.273785e+07 3.054568e-08 9.095924e-09 5.506464e-01 8.347386e-01 -3.427880e-01 -9.394128e-01 2.078585e-01 -1.046742e-01
-3.376199e+07 2.961910e-08 4.220222e-08 5.462535e-01 8.376199e-01 -3.398251e-01 -9.404886e-01 2.064284e-01 -1.028688e-01
-3.481818e+07 2.872063e-08 5.706682e-08 5.418456e-01 8.404781e-01 -3.368589e-01 -9.415551e-01 2.049866e-01 -1.010771e-01
-3.590740e+07 2.784941e-08 4.688882e-08 5.374227e-01 8.433130e-01 -3.338894e-01 -9.426123e-01 2.035333e-01 -9.929923e-02
-3.703070e+07 2.700462e-08 1.569605e-08 5.329849e-01 8.461247e-01 -3.309165e-01 -9.436600e-01 2.020684e-01 -9.753530e-02
-3.818913e+07 2.618546e-08 2.197438e-08 5.285325e-01 8.489131e-01 -3.279404e-01 -9.446984e-01 2.005921e-01 -9.578535e-02
-3.938381e+07 2.539114e-08 4.702357e-08 5.240655e-01 8.516780e-01 -3.249610e-01 -9.457274e-01 1.991045e-01 -9.404943e-02
-4.061586e+07 2.462092e-08 4.560100e-08 5.195840e-01 8.544194e-01 -3.219783e-01 -9.467470e-01 1.976056e-01 -9.232763e-02
-4.188645e+07 2.387407e-08 1.795452e-08 5.150881e-01 8.571372e-01 -3.189925e-01 -9.477572e-01 1.960956e-01 -9.062000e-02
-4.319679e+07 2.314987e-08 1.962901e-08 5.105781e-01 8.598314e-01 -3.160035e-01 -9.487580e-01 1.945746e-01 -8.892661e-02
-4.454813e+07 2.244763e-08 4.309786e-08 5.060539e-01 8.625019e-01 -3.130114e-01 -9.497494e-01 1.930425e-01 -8.724753e-02
-4.594173e+07 2.176670e-08 3.613227e-08 5.015158e-01 8.651485e-01 -3.100161e-01 -9.507313e-01 1.914997e-01 -8.558281e-02
-4.737893e+07 2.110643e-08 3.207954e-09 4.969638e-01 8.677713e-01 -3.070178e-01 -9.517038e-01 1.899461e-01 -8.393253e-02
-4.886110e+07 2.046618e-08 3.089180e-08 4.923982e-01 8.703701e-01 -3.040164e-01 -9.526668e-01 1.883818e-01 -8.229674e-02
-5.038963e+07 1.984535e-08 3.850727e-08 4.878189e-01 8.729449e-01 -3.010120e-01 -9.536204e-01 1.868069e-01 -8.067550e-02
-5.196597e+07 1.924336e-08 1.267284e-08 4.832262e-01 8.754956e-01 -2.980046e-01 -9.545644e-01 1.852216e-01 -7.906889e-02
-5.359163e+07 1.865963e-08 2.363669e-08 4.786201e-01 8.780221e-01 -2.949942e-01 -9.554990e-01 1.836259e-01 -7.747695e-02
-5.526815e+07 1.809360e-08 3.567481e-08 4.740008e-01 8.805244e-01 -2.919809e-01 -9.564241e-01 1.820199e-01 -7.589975e-02
-5.699711e+07 1.754475e-08 1.090381e-08 4.693685e-01 8.830024e-01 -2.889647e-01 -9.573397e-01 1.804037e-01 -7.433735e-02
-5.878016e+07 1.701254e-08 2.451096e-08 4.647232e-01 8.854560e-01 -2.859457e-01 -9.582458e-01 1.787775e-01 -7.278980e-02
-6.061899e+07 1.649648e-08 3.052898e-08 4.600650e-01 8.878852e-01 -2.829238e-01 -9.591424e-01 1.771413e-01 -7.125718e-02
-6.251534e+07 1.599607e-08 3.084196e-10 4.553942e-01 8.902899e-01 -2.798991e-01 -9.600294e-01 1.754951e-01 -6.973953e-02
-6.447102e+07 1.551084e-08 2.932395e-08 4.507108e-01 8.926700e-01 -2.768716e-01 -9.609069e-01 1.738392e-01 -6.823691e-02
-6.648788e+07 1.504034e-08 1.786581e-08 4.460150e-01 8.950255e-01 -2.738413e-01 -9.617749e-01 1.721736e-01 -6.674938e-02
-6.856783e+07 1.458410e-08 1.813446e-08 4.413068e-01 8.973563e-01 -2.708084e-01 -9.626333e-01 1.704985e-01 -6.527700e-02
-7.071285e+07 1.414170e-08 2.549354e-08 4.365865e-01 8.996623e-01 -2.677727e-01 -9.634821e-01 1.688138e-01 -6.381982e-02
-7.292497e+07 1.371272e-08 7.236324e-09 4.318541e-01 9.019435e-01 -2.647344e-01 -9.643214e-01 1.671197e-01 -6.237790e-02
-7.520629e+07 1.329676e-08 2.637044e-08 4.271098e-01 9.041998e-01 -2.616934e-01 -9.651510e-01 1.654164e-01 -6.095129e-02
-7.755898e+07 1.289341e-08 9.554477e-10 4.223537e-01 9.064311e-01 -2.586499e-01 -9.659711e-01 1.637038e-01 -5.954004e-02
-7.998527e+07 1.250230e-08 2.500353e-08 4.175860e-01 9.086374e-01 -2.556038e-01 -9.667816e-01 1.619822e-01 -5.814421e-02
-8.248747e+07 1.212305e-08 1.909517e-10 4.128067e-01 9.108186e-01 -2.525551e-01 -9.675825e-01 1.602516e-01 -5.676386e-02
-8.506793e+07 1.175531e-08 2.348921e-08 4.080161e-01 9.129748e-01 -2.495040e-01 -9.683738e-01 1.585121e-01 -5.539903e-02
-8.772913e+07 1.139872e-08 3.270717e-09 4.032141e-01 9.151057e-01 -2.464503e-01 -9.691554e-01 1.567638e-01 -5.404978e-02
-9.047357e+07 1.105295e-08 2.113449e-08 3.984011e-01 9.172113e-01 -2.433942e-01 -9.699274e-01 1.550069e-01 -5.271615e-02
-9.330387e+07 1.071767e-08 1.037222e-08 3.935770e-01 9.192916e-01 -2.403357e-01 -9.706898e-01 1.532413e-01 -5.139820e-02
-9.622271e+07 1.039256e-08 1.494712e-08 3.887421e-01 9.213466e-01 -2.372748e-01 -9.714426e-01 1.514673e-01 -5.009598e-02
-9.923286e+07 1.007731e-08 1.785833e-08 3.838965e-01 9.233761e-01 -2.342115e-01 -9.721857e-01 1.496850e-01 -4.880953e-02
-1.023372e+08 9.771620e-09 1.995845e-09 3.790403e-01 9.253802e-01 -2.311460e-01 -9.729191e-01 1.478943e-01 -4.753891e-02
-1.055386e+08 9.475205e-09 1.787556e-08 3.741736e-01 9.273587e-01 -2.280781e-01 -9.736428e-01 1.460955e-01 -4.628416e-02
-1.088402e+08 9.187782e-09 1.370856e-08 3.692966e-01 9.293116e-01 -2.250079e-01 -9.743569e-01 1.442886e-01 -4.504533e-02
-1.122451e+08 8.909078e-09 2.842020e-09 3.644093e-01 9.312389e-01 -2.219355e-01 -9.750613e-01 1.424738e-01 -4.382247e-02
-1.157564e+08 8.638828e-09 1.536265e-08 3.595121e-01 9.331404e-01 -2.188610e-01 -9.757561e-01 1.406511e-01 -4.261562e-02
-1.193777e+08 8.376776e-09 1.548898e-08 3.546049e-01 9.350162e-01 -2.157842e-01 -9.764411e-01 1.388207e-01 -4.142484e-02
-1.231122e+08 8.122674e-09 6.095680e-09 3.496879e-01 9.368662e-01 -2.127053e-01 -9.771164e-01 1.369826e-01 -4.025015e-02
-1.269635e+08 7.876279e-09 5.209960e-09 3.447613e-01 9.386904e-01 -2.096243e-01 -9.777820e-01 1.351370e-01 -3.909162e-02
-1.309353e+08 7.637358e-09 1.271201e-08 3.398251e-01 9.404886e-01 -2.065412e-01 -9.784379e-01 1.332840e-01 -3.794927e-02
-1.350314e+08 7.405685e-09 1.480849e-08 3.348796e-01 9.422609e-01 -2.034560e-01 -9.790841e-01 1.314236e-01 -3.682317e-02
-1.392556e+08 7.181039e-09 1.281962e-08 3.299248e-01 9.440072e-01 -2.003688e-01 -9.797205e-01 1.295560e-01 -3.571334e-02
-1.436120e+08 6.963208e-09 8.957474e-09 3.249610e-01 9.457274e-01 -1.972797e-01 -9.803473e-01 1.276813e-01 -3.461982e-02
-1.481046e+08 6.751985e-09 5.007449e-09 3.199881e-01 9.474215e-01 -1.941885e-01 -9.809642e-01 1.257996e-01 -3.354267e-02
-1.527378e+08 6.547168e-09 1.949086e-09 3.150065e-01 9.490895e-01 -1.910955e-01 -9.815715e-01 1.239110e-01 -3.248193e-02
-1.575159e+08 6.348565e-09 1.268911e-10 3.100161e-01 9.507313e-01 -1.880005e-01 -9.821689e-01 1.220156e-01 -3.143762e-02
-1.624435e+08 6.155987e-09 4.369747e-10 3.050172e-01 9.523468e-01 -1.849037e-01 -9.827566e-01 1.201135e-01 -3.040979e-02
-1.675252e+08 5.969250e-09 1.893762e-10 3.000098e-01 9.539361e-01 -1.818050e-01 -9.833346e-01 1.182048e-01 -2.939849e-02
-1.727660e+08 5.788177e-09 1.925552e-09 2.949942e-01 9.554990e-01 -1.787046e-01 -9.839028e-01 1.162896e-01 -2.840374e-02
-1.781706e+08 5.612597e-09 4.591233e-09 2.899705e-01 9.570356e-01 -1.756023e-01 -9.844612e-01 1.143681e-01 -2.742558e-02
-1.837444e+08 5.442344e-09 7.669374e-09 2.849387e-01 9.585457e-01 -1.724984e-01 -9.850098e-01 1.124403e-01 -2.646406e-02
-1.894925e+08 5.277254e-09 1.002241e-08 2.798991e-01 9.600294e-01 -1.693927e-01 -9.855486e-01 1.105064e-01 -2.551921e-02
-1.954204e+08 5.117173e-09 9.879377e-09 2.748517e-01 9.614866e-01 -1.662853e-01 -9.860777e-01 1.085664e-01 -2.459106e-02
-2.015338e+08 4.961948e-09 5.661473e-09 2.697968e-01 9.629173e-01 -1.631762e-01 -9.865969e-01 1.066205e-01 -2.367965e-02
-2.078384e+08 4.811431e-09 2.030553e-09 2.647344e-01 9.643214e-01 -1.600656e-01 -9.871064e-01 1.046688e-01 -2.278501e-02
-2.143402e+08 4.665480e-09 8.540606e-09 2.596647e-01 9.656988e-01 -1.569533e-01 -9.876060e-01 1.027114e-01 -2.190718e-02
-2.210455e+08 4.523956e-09 7.165033e-09 2.545878e-01 9.670497e-01 -1.538395e-01 -9.880958e-01 1.007483e-01 -2.104619e-02
-2.279605e+08 4.386726e-09 2.503053e-09 2.495040e-01 9.683738e-01 -1.507242e-01 -9.885759e-01 9.877977e-02 -2.020207e-02
-2.350918e+08 4.253658e-09 8.493172e-09 2.444132e-01 9.696712e-01 -1.476073e-01 -9.890460e-01 9.680583e-02 -1.937486e-02
-2.424462e+08 4.124626e-09 2.787920e-10 2.393157e-01 9.709418e-01 -1.444890e-01 -9.895064e-01 9.482661e-02 -1.856458e-02
-2.500307e+08 3.999509e-09 7.997532e-09 2.342115e-01 9.721857e-01 -1.413693e-01 -9.899569e-01 9.284223e-02 -1.777127e-02
-2.578524e+08 3.878187e-09 1.703581e-09 2.291010e-01 9.734027e-01 -1.382482e-01 -9.903976e-01 9.085278e-02 -1.699495e-02
-2.659189e+08 3.760545e-09 6.302029e-09 2.239840e-01 9.745928e-01 -1.351257e-01 -9.908285e-01 8.885839e-02 -1.623566e-02
-2.742377e+08 3.646472e-09 6.472189e-09 2.188610e-01 9.757561e-01 -1.320018e-01 -9.912495e-01 8.685915e-02 -1.549342e-02
-2.828167e+08 3.535859e-09 1.397827e-09 2.137318e-01 9.768924e-01 -1.288766e-01 -9.916606e-01 8.485519e-02 -1.476826e-02
-2.916641e+08 3.428602e-09 3.438258e-09 2.085968e-01 9.780017e-01 -1.257502e-01 -9.920619e-01 8.284661e-02 -1.406021e-02
-3.007883e+08 3.324598e-09 5.850221e-09 2.034560e-01 9.790841e-01 -1.226225e-01 -9.924534e-01 8.083352e-02 -1.336930e-02
-3.101979e+08 3.223749e-09 6.397739e-09 1.983096e-01 9.801394e-01 -1.194936e-01 -9.928350e-01 7.881604e-02 -1.269555e-02
-3.199018e+08 3.125959e-09 6.240028e-09 1.931577e-01 9.811677e-01 -1.163635e-01 -9.932067e-01 7.679426e-02 -1.203898e-02
-3.299094e+08 3.031136e-09 6.052444e-09 1.880005e-01 9.821689e-01 -1.132322e-01 -9.935686e-01 7.476832e-02 -1.139962e-02
-3.402300e+08 2.939188e-09 5.817114e-09 1.828381e-01 9.831430e-01 -1.100998e-01 -9.939205e-01 7.273831e-02 -1.077750e-02
-3.508734e+08 2.850030e-09 4.863007e-09 1.776707e-01 9.840900e-01 -1.069663e-01 -9.942626e-01 7.070435e-02 -1.017264e-02
-3.618499e+08 2.763577e-09 2.195493e-09 1.724984e-01 9.850098e-01 -1.038318e-01 -9.945949e-01 6.866654e-02 -9.585064e-03
-3.731697e+08 2.679746e-09 2.189180e-09 1.673212e-01 9.859024e-01 -1.006962e-01 -9.949172e-01 6.662501e-02 -9.014787e-03
-3.848436e+08 2.598458e-09 5.171847e-09 1.621395e-01 9.867678e-01 -9.755966e-02 -9.952297e-01 6.457986e-02 -8.461836e-03
-3.968827e+08 2.519636e-09 1.905795e-09 1.569533e-01 9.876060e-01 -9.442212e-02 -9.955323e-01 6.253121e-02 -7.926230e-03
-4.092985e+08 2.443205e-09 4.419369e-09 1.517628e-01 9.884169e-01 -9.128364e-02 -9.958249e-01 6.047916e-02 -7.407990e-03
-4.221026e+08 2.369092e-09 1.170747e-09 1.465681e-01 9.892006e-01 -8.814425e-02 -9.961077e-01 5.842383e-02 -6.907135e-03
-4.353073e+08 2.297228e-09 4.509058e-09 1.413693e-01 9.899569e-01 -8.500399e-02 -9.963806e-01 5.636533e-02 -6.423684e-03
-4.489251e+08 2.227543e-09 3.477105e-09 1.361666e-01 9.906859e-01 -8.186288e-02 -9.966436e-01 5.430377e-02 -5.957656e-03
-4.629689e+08 2.159972e-09 1.254462e-09 1.309602e-01 9.913876e-01 -7.872096e-02 -9.968967e-01 5.223927e-02 -5.509067e-03
-4.774521e+08 2.094451e-09 1.261735e-10 1.257502e-01 9.920619e-01 -7.557825e-02 -9.971399e-01 5.017193e-02 -5.077935e-03
-4.923883e+08 2.030918e-09 2.849323e-10 1.205367e-01 9.927089e-01 -7.243480e-02 -9.973731e-01 4.810188e-02 -4.664276e-03
-5.077917e+08 1.969311e-09 7.178973e-10 1.153198e-01 9.933284e-01 -6.929063e-02 -9.975965e-01 4.602922e-02 -4.268105e-03
-5.236771e+08 1.909574e-09 2.573978e-09 1.100998e-01 9.939205e-01 -6.614576e-02 -9.978100e-01 4.395406e-02 -3.889437e-03
-5.400593e+08 1.851648e-09 3.700724e-09 1.048768e-01 9.944852e-01 -6.300024e-02 -9.980135e-01 4.187653e-02 -3.528287e-03
-5.569541e+08 1.795480e-09 1.207707e-09 9.965082e-02 9.950225e-01 -5.985410e-02 -9.982071e-01 3.979672e-02 -3.184667e-03
-5.743774e+08 1.741016e-09 3.218962e-09 9.442212e-02 9.955323e-01 -5.670736e-02 -9.983908e-01 3.771476e-02 -2.858592e-03
-5.923457e+08 1.688203e-09 3.267977e-10 8.919081e-02 9.960146e-01 -5.356005e-02 -9.985646e-01 3.563076e-02 -2.550073e-03
-6.108762e+08 1.636993e-09 2.790284e-09 8.395704e-02 9.964694e-01 -5.041222e-02 -9.987285e-01 3.354483e-02 -2.259121e-03
-6.299863e+08 1.587336e-09 3.174555e-09 7.872096e-02 9.968967e-01 -4.726388e-02 -9.988824e-01 3.145708e-02 -1.985748e-03
-6.496943e+08 1.539186e-09 3.021745e-09 7.348270e-02 9.972965e-01 -4.411507e-02 -9.990265e-01 2.936763e-02 -1.729964e-03
-6.700188e+08 1.492496e-09 2.984784e-09 6.824241e-02 9.976688e-01 -4.096583e-02 -9.991605e-01 2.727658e-02 -1.491779e-03
-6.909791e+08 1.447222e-09 2.363841e-09 6.300024e-02 9.980135e-01 -3.781618e-02 -9.992847e-01 2.518407e-02 -1.271201e-03
-7.125951e+08 1.403322e-09 1.675413e-10 5.775633e-02 9.983307e-01 -3.466615e-02 -9.993989e-01 2.309019e-02 -1.068239e-03
-7.348873e+08 1.360753e-09 2.714684e-09 5.251083e-02 9.986204e-01 -3.151578e-02 -9.995033e-01 2.099506e-02 -8.829000e-04
-7.578769e+08 1.319476e-09 6.190918e-10 4.726388e-02 9.988824e-01 -2.836509e-02 -9.995976e-01 1.889879e-02 -7.151915e-04
-7.815857e+08 1.279450e-09 1.390524e-09 4.201562e-02 9.991170e-01 -2.521412e-02 -9.996821e-01 1.680150e-02 -5.651196e-04
-8.060361e+08 1.240639e-09 1.973763e-09 3.676621e-02 9.993239e-01 -2.206291e-02 -9.997566e-01 1.470330e-02 -4.326900e-04
-8.312515e+08 1.203005e-09 1.699703e-09 3.151578e-02 9.995033e-01 -1.891147e-02 -9.998212e-01 1.260431e-02 -3.179076e-04
-8.572557e+08 1.166513e-09 3.567496e-10 2.626448e-02 9.996550e-01 -1.575985e-02 -9.998758e-01 1.050463e-02 -2.207768e-04
-8.840733e+08 1.131128e-09 1.889514e-09 2.101245e-02 9.997792e-01 -1.260806e-02 -9.999205e-01 8.404387e-03 -1.413011e-04
-9.117299e+08 1.096816e-09 1.020433e-09 1.575985e-02 9.998758e-01 -9.456158e-03 -9.999553e-01 6.303688e-03 -7.948362e-05
-9.402517e+08 1.063545e-09 2.100536e-09 1.050681e-02 9.999448e-01 -6.304158e-03 -9.999801e-01 4.202648e-03 -3.532661e-05
-9.696658e+08 1.031283e-09 2.017258e-09 5.253475e-03 9.999862e-01 -3.152094e-03 -9.999950e-01 2.101381e-03 -8.831734e-06
-1.000000e+09 1.000000e-09 2.000000e-09 3.061617e-16 1.000000e+00 -1.836970e-16 -1.000000e+00 1.224647e-16 0.000000e+00
+1.000000e+05 1.000000e-05 1.996053e+00 1.000000e+00 -1.133108e-15 -8.090170e-01 -5.877853e-01 1.909830e-01 -5.877853e-01
+1.021891e+05 9.785784e-06 1.995879e+00 9.999879e-01 4.924107e-03 -8.072769e-01 -5.901729e-01 1.927110e-01 -5.852488e-01
+1.044260e+05 9.576156e-06 1.995697e+00 9.999515e-01 9.848094e-03 -8.055297e-01 -5.925554e-01 1.944218e-01 -5.827073e-01
+1.067120e+05 9.371019e-06 1.995506e+00 9.998909e-01 1.477184e-02 -8.037755e-01 -5.949327e-01 1.961154e-01 -5.801609e-01
+1.090480e+05 9.170277e-06 1.995307e+00 9.998060e-01 1.969523e-02 -8.020143e-01 -5.973049e-01 1.977918e-01 -5.776096e-01
+1.114351e+05 8.973835e-06 1.995100e+00 9.996969e-01 2.461814e-02 -8.002461e-01 -5.996718e-01 1.994509e-01 -5.750536e-01
+1.138745e+05 8.781600e-06 1.994883e+00 9.995636e-01 2.954046e-02 -7.984708e-01 -6.020335e-01 2.010927e-01 -5.724930e-01
+1.163672e+05 8.593484e-06 1.994656e+00 9.994060e-01 3.446206e-02 -7.966887e-01 -6.043899e-01 2.027173e-01 -5.699278e-01
+1.189146e+05 8.409398e-06 1.994420e+00 9.992242e-01 3.938282e-02 -7.948995e-01 -6.067411e-01 2.043247e-01 -5.673582e-01
+1.215177e+05 8.229255e-06 1.994173e+00 9.990182e-01 4.430263e-02 -7.931035e-01 -6.090869e-01 2.059147e-01 -5.647843e-01
+1.241778e+05 8.052971e-06 1.993915e+00 9.987879e-01 4.922137e-02 -7.913005e-01 -6.114275e-01 2.074874e-01 -5.622061e-01
+1.268961e+05 7.880463e-06 1.993646e+00 9.985334e-01 5.413891e-02 -7.894906e-01 -6.137627e-01 2.090428e-01 -5.596238e-01
+1.296739e+05 7.711650e-06 1.993365e+00 9.982547e-01 5.905514e-02 -7.876738e-01 -6.160925e-01 2.105809e-01 -5.570374e-01
+1.325126e+05 7.546454e-06 1.993072e+00 9.979518e-01 6.396993e-02 -7.858501e-01 -6.184170e-01 2.121017e-01 -5.544471e-01
+1.354133e+05 7.384797e-06 1.992765e+00 9.976247e-01 6.888318e-02 -7.840196e-01 -6.207361e-01 2.136051e-01 -5.518529e-01
+1.383776e+05 7.226603e-06 1.992445e+00 9.972735e-01 7.379475e-02 -7.821822e-01 -6.230497e-01 2.150912e-01 -5.492550e-01
+1.414068e+05 7.071797e-06 1.992111e+00 9.968980e-01 7.870454e-02 -7.803380e-01 -6.253579e-01 2.165600e-01 -5.466534e-01
+1.445022e+05 6.920307e-06 1.991762e+00 9.964984e-01 8.361242e-02 -7.784870e-01 -6.276607e-01 2.180113e-01 -5.440483e-01
+1.476655e+05 6.772063e-06 1.991398e+00 9.960746e-01 8.851827e-02 -7.766292e-01 -6.299580e-01 2.194453e-01 -5.414397e-01
+1.508980e+05 6.626995e-06 1.991017e+00 9.956266e-01 9.342197e-02 -7.747646e-01 -6.322498e-01 2.208620e-01 -5.388278e-01
+1.542012e+05 6.485034e-06 1.990620e+00 9.951545e-01 9.832341e-02 -7.728933e-01 -6.345360e-01 2.222612e-01 -5.362126e-01
+1.575768e+05 6.346114e-06 1.990205e+00 9.946583e-01 1.032225e-01 -7.710152e-01 -6.368167e-01 2.236431e-01 -5.335943e-01
+1.610262e+05 6.210169e-06 1.989772e+00 9.941380e-01 1.081190e-01 -7.691304e-01 -6.390919e-01 2.250076e-01 -5.309729e-01
+1.645512e+05 6.077137e-06 1.989320e+00 9.935935e-01 1.130129e-01 -7.672388e-01 -6.413615e-01 2.263547e-01 -5.283485e-01
+1.681533e+05 5.946955e-06 1.988848e+00 9.930250e-01 1.179041e-01 -7.653406e-01 -6.436255e-01 2.276844e-01 -5.257213e-01
+1.718342e+05 5.819562e-06 1.988355e+00 9.924324e-01 1.227925e-01 -7.634357e-01 -6.458838e-01 2.289967e-01 -5.230914e-01
+1.755958e+05 5.694897e-06 1.987840e+00 9.918157e-01 1.276778e-01 -7.615241e-01 -6.481366e-01 2.302916e-01 -5.204587e-01
+1.794397e+05 5.572903e-06 1.987302e+00 9.911750e-01 1.325601e-01 -7.596059e-01 -6.503836e-01 2.315691e-01 -5.178236e-01
+1.833677e+05 5.453523e-06 1.986741e+00 9.905102e-01 1.374391e-01 -7.576810e-01 -6.526250e-01 2.328292e-01 -5.151859e-01
+1.873817e+05 5.336699e-06 1.986154e+00 9.898214e-01 1.423148e-01 -7.557496e-01 -6.548607e-01 2.340719e-01 -5.125459e-01
+1.914836e+05 5.222378e-06 1.985542e+00 9.891087e-01 1.471871e-01 -7.538115e-01 -6.570907e-01 2.352972e-01 -5.099036e-01
+1.956753e+05 5.110507e-06 1.984903e+00 9.883719e-01 1.520558e-01 -7.518669e-01 -6.593150e-01 2.365050e-01 -5.072592e-01
+1.999588e+05 5.001031e-06 1.984236e+00 9.876112e-01 1.569208e-01 -7.499157e-01 -6.615335e-01 2.376955e-01 -5.046127e-01
+2.043360e+05 4.893901e-06 1.983539e+00 9.868265e-01 1.617820e-01 -7.479579e-01 -6.637462e-01 2.388686e-01 -5.019642e-01
+2.088090e+05 4.789066e-06 1.982812e+00 9.860179e-01 1.666393e-01 -7.459936e-01 -6.659531e-01 2.400243e-01 -4.993138e-01
+2.133799e+05 4.686476e-06 1.982052e+00 9.851854e-01 1.714925e-01 -7.440228e-01 -6.681542e-01 2.411626e-01 -4.966617e-01
+2.180510e+05 4.586084e-06 1.981259e+00 9.843290e-01 1.763416e-01 -7.420455e-01 -6.703495e-01 2.422835e-01 -4.940079e-01
+2.228242e+05 4.487843e-06 1.980431e+00 9.834488e-01 1.811864e-01 -7.400618e-01 -6.725389e-01 2.433870e-01 -4.913525e-01
+2.277020e+05 4.391706e-06 1.979566e+00 9.825447e-01 1.860268e-01 -7.380715e-01 -6.747225e-01 2.444731e-01 -4.886957e-01
+2.326865e+05 4.297628e-06 1.978663e+00 9.816167e-01 1.908627e-01 -7.360749e-01 -6.769001e-01 2.455419e-01 -4.860374e-01
+2.377801e+05 4.205566e-06 1.977721e+00 9.806650e-01 1.956940e-01 -7.340718e-01 -6.790719e-01 2.465932e-01 -4.833779e-01
+2.429853e+05 4.115476e-06 1.976736e+00 9.796895e-01 2.005205e-01 -7.320623e-01 -6.812377e-01 2.476272e-01 -4.807172e-01
+2.483043e+05 4.027316e-06 1.975709e+00 9.786902e-01 2.053422e-01 -7.300464e-01 -6.833976e-01 2.486439e-01 -4.780554e-01
+2.537399e+05 3.941044e-06 1.974636e+00 9.776673e-01 2.101589e-01 -7.280241e-01 -6.855515e-01 2.496431e-01 -4.753927e-01
+2.592944e+05 3.856620e-06 1.973516e+00 9.766206e-01 2.149704e-01 -7.259955e-01 -6.876995e-01 2.506251e-01 -4.727290e-01
+2.649705e+05 3.774005e-06 1.972346e+00 9.755502e-01 2.197768e-01 -7.239605e-01 -6.898414e-01 2.515896e-01 -4.700646e-01
+2.707708e+05 3.693160e-06 1.971125e+00 9.744561e-01 2.245779e-01 -7.219193e-01 -6.919773e-01 2.525369e-01 -4.673994e-01
+2.766982e+05 3.614046e-06 1.969851e+00 9.733385e-01 2.293735e-01 -7.198717e-01 -6.941072e-01 2.534668e-01 -4.647337e-01
+2.827552e+05 3.536628e-06 1.968520e+00 9.721972e-01 2.341635e-01 -7.178178e-01 -6.962310e-01 2.543794e-01 -4.620675e-01
+2.889449e+05 3.460867e-06 1.967130e+00 9.710324e-01 2.389479e-01 -7.157577e-01 -6.983487e-01 2.552747e-01 -4.594008e-01
+2.952701e+05 3.386730e-06 1.965680e+00 9.698440e-01 2.437264e-01 -7.136913e-01 -7.004604e-01 2.561527e-01 -4.567339e-01
+3.017337e+05 3.314181e-06 1.964165e+00 9.686321e-01 2.484991e-01 -7.116187e-01 -7.025659e-01 2.570134e-01 -4.540668e-01
+3.083388e+05 3.243185e-06 1.962584e+00 9.673967e-01 2.532657e-01 -7.095399e-01 -7.046653e-01 2.578569e-01 -4.513995e-01
+3.150885e+05 3.173711e-06 1.960933e+00 9.661379e-01 2.580262e-01 -7.074549e-01 -7.067585e-01 2.586830e-01 -4.487323e-01
+3.219860e+05 3.105725e-06 1.959210e+00 9.648556e-01 2.627805e-01 -7.053637e-01 -7.088456e-01 2.594920e-01 -4.460651e-01
+3.290345e+05 3.039195e-06 1.957411e+00 9.635500e-01 2.675283e-01 -7.032664e-01 -7.109265e-01 2.602836e-01 -4.433981e-01
+3.362372e+05 2.974091e-06 1.955533e+00 9.622210e-01 2.722697e-01 -7.011629e-01 -7.130011e-01 2.610581e-01 -4.407314e-01
+3.435976e+05 2.910381e-06 1.953573e+00 9.608686e-01 2.770045e-01 -6.990533e-01 -7.150696e-01 2.618153e-01 -4.380651e-01
+3.511192e+05 2.848036e-06 1.951526e+00 9.594930e-01 2.817326e-01 -6.969376e-01 -7.171318e-01 2.625554e-01 -4.353992e-01
+3.588054e+05 2.787026e-06 1.949390e+00 9.580941e-01 2.864538e-01 -6.948158e-01 -7.191878e-01 2.632783e-01 -4.327340e-01
+3.666598e+05 2.727324e-06 1.947160e+00 9.566719e-01 2.911681e-01 -6.926879e-01 -7.212374e-01 2.639840e-01 -4.300694e-01
+3.746862e+05 2.668900e-06 1.944832e+00 9.552266e-01 2.958753e-01 -6.905540e-01 -7.232808e-01 2.646725e-01 -4.274055e-01
+3.828883e+05 2.611728e-06 1.942402e+00 9.537581e-01 3.005753e-01 -6.884141e-01 -7.253179e-01 2.653440e-01 -4.247425e-01
+3.912699e+05 2.555780e-06 1.939865e+00 9.522664e-01 3.052681e-01 -6.862682e-01 -7.273486e-01 2.659983e-01 -4.220805e-01
+3.998351e+05 2.501031e-06 1.937218e+00 9.507517e-01 3.099535e-01 -6.841162e-01 -7.293730e-01 2.666355e-01 -4.194195e-01
+4.085877e+05 2.447455e-06 1.934454e+00 9.492140e-01 3.146313e-01 -6.819583e-01 -7.313910e-01 2.672556e-01 -4.167597e-01
+4.175319e+05 2.395027e-06 1.931570e+00 9.476532e-01 3.193015e-01 -6.797945e-01 -7.334026e-01 2.678587e-01 -4.141011e-01
+4.266719e+05 2.343721e-06 1.928559e+00 9.460694e-01 3.239640e-01 -6.776247e-01 -7.354079e-01 2.684447e-01 -4.114439e-01
+4.360120e+05 2.293515e-06 1.925417e+00 9.444627e-01 3.286186e-01 -6.754490e-01 -7.374067e-01 2.690137e-01 -4.087881e-01
+4.455565e+05 2.244384e-06 1.922138e+00 9.428331e-01 3.332653e-01 -6.732674e-01 -7.393991e-01 2.695657e-01 -4.061338e-01
+4.553100e+05 2.196306e-06 1.918715e+00 9.411806e-01 3.379038e-01 -6.710799e-01 -7.413850e-01 2.701007e-01 -4.034811e-01
+4.652770e+05 2.149257e-06 1.915143e+00 9.395054e-01 3.425342e-01 -6.688866e-01 -7.433644e-01 2.706187e-01 -4.008302e-01
+4.754622e+05 2.103217e-06 1.911415e+00 9.378073e-01 3.471563e-01 -6.666874e-01 -7.453374e-01 2.711198e-01 -3.981811e-01
+4.858703e+05 2.058162e-06 1.907525e+00 9.360865e-01 3.517699e-01 -6.644825e-01 -7.473039e-01 2.716040e-01 -3.955339e-01
+4.965063e+05 2.014073e-06 1.903465e+00 9.343430e-01 3.563751e-01 -6.622717e-01 -7.492638e-01 2.720713e-01 -3.928887e-01
+5.073751e+05 1.970928e-06 1.899229e+00 9.325768e-01 3.609716e-01 -6.600551e-01 -7.512172e-01 2.725217e-01 -3.902456e-01
+5.184818e+05 1.928708e-06 1.894808e+00 9.307881e-01 3.655593e-01 -6.578328e-01 -7.531640e-01 2.729553e-01 -3.876047e-01
+5.298317e+05 1.887392e-06 1.890195e+00 9.289767e-01 3.701382e-01 -6.556047e-01 -7.551043e-01 2.733720e-01 -3.849661e-01
+5.414300e+05 1.846961e-06 1.885382e+00 9.271429e-01 3.747080e-01 -6.533709e-01 -7.570380e-01 2.737720e-01 -3.823299e-01
+5.532822e+05 1.807396e-06 1.880360e+00 9.252865e-01 3.792689e-01 -6.511314e-01 -7.589650e-01 2.741551e-01 -3.796962e-01
+5.653939e+05 1.768679e-06 1.875121e+00 9.234077e-01 3.838205e-01 -6.488862e-01 -7.608855e-01 2.745215e-01 -3.770650e-01
+5.777707e+05 1.730791e-06 1.869655e+00 9.215066e-01 3.883628e-01 -6.466354e-01 -7.627992e-01 2.748712e-01 -3.744365e-01
+5.904184e+05 1.693714e-06 1.863952e+00 9.195831e-01 3.928957e-01 -6.443789e-01 -7.647064e-01 2.752042e-01 -3.718107e-01
+6.033430e+05 1.657432e-06 1.858002e+00 9.176372e-01 3.974190e-01 -6.421168e-01 -7.666068e-01 2.755205e-01 -3.691878e-01
+6.165505e+05 1.621927e-06 1.851796e+00 9.156692e-01 4.019327e-01 -6.398490e-01 -7.685006e-01 2.758201e-01 -3.665679e-01
+6.300471e+05 1.587183e-06 1.845323e+00 9.136789e-01 4.064367e-01 -6.375757e-01 -7.703877e-01 2.761032e-01 -3.639510e-01
+6.438392e+05 1.553183e-06 1.838570e+00 9.116665e-01 4.109309e-01 -6.352969e-01 -7.722680e-01 2.763696e-01 -3.613372e-01
+6.579332e+05 1.519911e-06 1.831527e+00 9.096320e-01 4.154150e-01 -6.330125e-01 -7.741416e-01 2.766195e-01 -3.587266e-01
+6.723358e+05 1.487352e-06 1.824182e+00 9.075754e-01 4.198891e-01 -6.307225e-01 -7.760084e-01 2.768529e-01 -3.561193e-01
+6.870536e+05 1.455491e-06 1.816521e+00 9.054968e-01 4.243530e-01 -6.284271e-01 -7.778685e-01 2.770698e-01 -3.535155e-01
+7.020936e+05 1.424312e-06 1.808532e+00 9.033963e-01 4.288066e-01 -6.261261e-01 -7.797218e-01 2.772702e-01 -3.509152e-01
+7.174628e+05 1.393801e-06 1.800202e+00 9.012739e-01 4.332498e-01 -6.238197e-01 -7.815683e-01 2.774541e-01 -3.483184e-01
+7.331684e+05 1.363943e-06 1.791516e+00 8.991296e-01 4.376826e-01 -6.215079e-01 -7.834079e-01 2.776217e-01 -3.457253e-01
+7.492179e+05 1.334725e-06 1.782459e+00 8.969635e-01 4.421047e-01 -6.191906e-01 -7.852407e-01 2.777728e-01 -3.431360e-01
+7.656187e+05 1.306133e-06 1.773017e+00 8.947756e-01 4.465161e-01 -6.168679e-01 -7.870667e-01 2.779077e-01 -3.405506e-01
+7.823785e+05 1.278154e-06 1.763174e+00 8.925661e-01 4.509166e-01 -6.145399e-01 -7.888858e-01 2.780262e-01 -3.379691e-01
+7.995052e+05 1.250774e-06 1.752913e+00 8.903349e-01 4.553062e-01 -6.122065e-01 -7.906979e-01 2.781284e-01 -3.353917e-01
+8.170069e+05 1.223980e-06 1.742218e+00 8.880821e-01 4.596848e-01 -6.098677e-01 -7.925032e-01 2.782144e-01 -3.328184e-01
+8.348916e+05 1.197760e-06 1.731071e+00 8.858078e-01 4.640523e-01 -6.075236e-01 -7.943016e-01 2.782842e-01 -3.302494e-01
+8.531679e+05 1.172102e-06 1.719454e+00 8.835120e-01 4.684084e-01 -6.051742e-01 -7.960931e-01 2.783378e-01 -3.276846e-01
+8.718442e+05 1.146994e-06 1.707349e+00 8.811948e-01 4.727533e-01 -6.028195e-01 -7.978776e-01 2.783753e-01 -3.251243e-01
+8.909293e+05 1.122423e-06 1.694736e+00 8.788563e-01 4.770866e-01 -6.004596e-01 -7.996551e-01 2.783967e-01 -3.225685e-01
+9.104323e+05 1.098379e-06 1.681595e+00 8.764964e-01 4.814084e-01 -5.980944e-01 -8.014256e-01 2.784020e-01 -3.200172e-01
+9.303622e+05 1.074850e-06 1.667906e+00 8.741153e-01 4.857186e-01 -5.957240e-01 -8.031892e-01 2.783912e-01 -3.174706e-01
+9.507283e+05 1.051825e-06 1.653647e+00 8.717129e-01 4.900169e-01 -5.933484e-01 -8.049457e-01 2.783645e-01 -3.149288e-01
+9.715403e+05 1.029293e-06 1.638795e+00 8.692895e-01 4.943034e-01 -5.909676e-01 -8.066953e-01 2.783218e-01 -3.123919e-01
+9.928079e+05 1.007244e-06 1.623330e+00 8.668449e-01 4.985779e-01 -5.885817e-01 -8.084377e-01 2.782632e-01 -3.098599e-01
+1.014541e+06 9.856674e-07 1.607226e+00 8.643794e-01 5.028402e-01 -5.861906e-01 -8.101732e-01 2.781887e-01 -3.073329e-01
+1.036750e+06 9.645528e-07 1.590460e+00 8.618928e-01 5.070904e-01 -5.837944e-01 -8.119015e-01 2.780984e-01 -3.048111e-01
+1.059445e+06 9.438905e-07 1.573008e+00 8.593854e-01 5.113284e-01 -5.813932e-01 -8.136228e-01 2.779923e-01 -3.022944e-01
+1.082637e+06 9.236709e-07 1.554843e+00 8.568572e-01 5.155539e-01 -5.789868e-01 -8.153369e-01 2.778704e-01 -2.997831e-01
+1.106336e+06 9.038843e-07 1.535939e+00 8.543081e-01 5.197669e-01 -5.765754e-01 -8.170440e-01 2.777328e-01 -2.972771e-01
+1.130555e+06 8.845216e-07 1.516269e+00 8.517384e-01 5.239673e-01 -5.741589e-01 -8.187439e-01 2.775795e-01 -2.947766e-01
+1.155303e+06 8.655737e-07 1.495807e+00 8.491480e-01 5.281550e-01 -5.717375e-01 -8.204366e-01 2.774105e-01 -2.922817e-01
+1.180593e+06 8.470317e-07 1.474523e+00 8.465370e-01 5.323299e-01 -5.693110e-01 -8.221222e-01 2.772260e-01 -2.897924e-01
+1.206437e+06 8.288869e-07 1.452388e+00 8.439055e-01 5.364918e-01 -5.668796e-01 -8.238007e-01 2.770259e-01 -2.873088e-01
+1.232847e+06 8.111308e-07 1.429373e+00 8.412535e-01 5.406408e-01 -5.644432e-01 -8.254719e-01 2.768103e-01 -2.848311e-01
+1.259834e+06 7.937551e-07 1.405448e+00 8.385812e-01 5.447767e-01 -5.620019e-01 -8.271359e-01 2.765792e-01 -2.823592e-01
+1.287413e+06 7.767516e-07 1.380582e+00 8.358885e-01 5.488993e-01 -5.595557e-01 -8.287927e-01 2.763327e-01 -2.798934e-01
+1.315595e+06 7.601123e-07 1.354743e+00 8.331755e-01 5.530087e-01 -5.571046e-01 -8.304423e-01 2.760709e-01 -2.774336e-01
+1.344394e+06 7.438294e-07 1.327900e+00 8.304423e-01 5.571046e-01 -5.546487e-01 -8.320846e-01 2.757936e-01 -2.749800e-01
+1.373824e+06 7.278954e-07 1.300020e+00 8.276890e-01 5.611871e-01 -5.521879e-01 -8.337197e-01 2.755011e-01 -2.725326e-01
+1.403898e+06 7.123027e-07 1.271070e+00 8.249156e-01 5.652559e-01 -5.497223e-01 -8.353475e-01 2.751933e-01 -2.700916e-01
+1.434630e+06 6.970440e-07 1.241018e+00 8.221222e-01 5.693110e-01 -5.472519e-01 -8.369680e-01 2.748704e-01 -2.676570e-01
+1.466035e+06 6.821122e-07 1.209831e+00 8.193089e-01 5.733523e-01 -5.447767e-01 -8.385812e-01 2.745322e-01 -2.652288e-01
+1.498127e+06 6.675002e-07 1.177474e+00 8.164757e-01 5.773797e-01 -5.422967e-01 -8.401870e-01 2.741790e-01 -2.628073e-01
+1.530922e+06 6.532013e-07 1.143914e+00 8.136228e-01 5.813932e-01 -5.398121e-01 -8.417856e-01 2.738107e-01 -2.603924e-01
+1.564434e+06 6.392086e-07 1.109118e+00 8.107501e-01 5.853925e-01 -5.373227e-01 -8.433767e-01 2.734274e-01 -2.579843e-01
+1.598681e+06 6.255157e-07 1.073053e+00 8.078577e-01 5.893776e-01 -5.348286e-01 -8.449606e-01 2.730291e-01 -2.555830e-01
+1.633677e+06 6.121162e-07 1.035685e+00 8.049457e-01 5.933484e-01 -5.323299e-01 -8.465370e-01 2.726159e-01 -2.531886e-01
+1.669439e+06 5.990036e-07 9.969815e-01 8.020143e-01 5.973049e-01 -5.298265e-01 -8.481061e-01 2.721878e-01 -2.508012e-01
+1.705984e+06 5.861720e-07 9.569111e-01 7.990634e-01 6.012468e-01 -5.273184e-01 -8.496677e-01 2.717449e-01 -2.484209e-01
+1.743329e+06 5.736153e-07 9.154425e-01 7.960931e-01 6.051742e-01 -5.248058e-01 -8.512220e-01 2.712872e-01 -2.460478e-01
+1.781491e+06 5.613275e-07 8.725457e-01 7.931035e-01 6.090869e-01 -5.222886e-01 -8.527688e-01 2.708148e-01 -2.436819e-01
+1.820489e+06 5.493029e-07 8.281917e-01 7.900946e-01 6.129849e-01 -5.197669e-01 -8.543081e-01 2.703278e-01 -2.413233e-01
+1.860341e+06 5.375360e-07 7.823534e-01 7.870667e-01 6.168679e-01 -5.172406e-01 -8.558401e-01 2.698261e-01 -2.389721e-01
+1.901065e+06 5.260211e-07 7.350051e-01 7.840196e-01 6.207361e-01 -5.147098e-01 -8.573645e-01 2.693098e-01 -2.366284e-01
+1.942680e+06 5.147528e-07 6.861235e-01 7.809535e-01 6.245891e-01 -5.121744e-01 -8.588814e-01 2.687791e-01 -2.342923e-01
+1.985206e+06 5.037260e-07 6.356875e-01 7.778685e-01 6.284271e-01 -5.096347e-01 -8.603909e-01 2.682338e-01 -2.319638e-01
+2.028664e+06 4.929354e-07 5.836788e-01 7.747646e-01 6.322498e-01 -5.070904e-01 -8.618928e-01 2.676742e-01 -2.296431e-01
+2.073072e+06 4.823759e-07 5.300824e-01 7.716420e-01 6.360571e-01 -5.045418e-01 -8.633873e-01 2.671002e-01 -2.273302e-01
+2.118453e+06 4.720426e-07 4.748868e-01 7.685006e-01 6.398490e-01 -5.019887e-01 -8.648742e-01 2.665119e-01 -2.250251e-01
+2.164827e+06 4.619307e-07 4.180844e-01 7.653406e-01 6.436255e-01 -4.994313e-01 -8.663535e-01 2.659093e-01 -2.227280e-01
+2.212216e+06 4.520354e-07 3.596722e-01 7.621621e-01 6.473863e-01 -4.968695e-01 -8.678253e-01 2.652925e-01 -2.204390e-01
+2.260643e+06 4.423520e-07 2.996524e-01 7.589650e-01 6.511314e-01 -4.943034e-01 -8.692895e-01 2.646616e-01 -2.181581e-01
+2.310130e+06 4.328761e-07 2.380325e-01 7.557496e-01 6.548607e-01 -4.917329e-01 -8.707461e-01 2.640166e-01 -2.158853e-01
+2.360700e+06 4.236032e-07 1.748265e-01 7.525158e-01 6.585742e-01 -4.891582e-01 -8.721951e-01 2.633576e-01 -2.136209e-01
+2.412377e+06 4.145289e-07 1.100550e-01 7.492638e-01 6.622717e-01 -4.865792e-01 -8.736365e-01 2.626846e-01 -2.113648e-01
+2.465185e+06 4.056491e-07 4.374624e-02 7.459936e-01 6.659531e-01 -4.839959e-01 -8.750703e-01 2.619977e-01 -2.091172e-01
+2.519149e+06 3.969594e-07 2.406322e-02 7.427053e-01 6.696184e-01 -4.814084e-01 -8.764964e-01 2.612969e-01 -2.068780e-01
+2.574295e+06 3.884559e-07 9.332790e-02 7.393991e-01 6.732674e-01 -4.788167e-01 -8.779149e-01 2.605823e-01 -2.046475e-01
+2.630648e+06 3.801345e-07 1.639925e-01 7.360749e-01 6.769001e-01 -4.762209e-01 -8.793257e-01 2.598540e-01 -2.024256e-01
+2.688234e+06 3.719914e-07 2.359909e-01 7.327328e-01 6.805164e-01 -4.736209e-01 -8.807288e-01 2.591120e-01 -2.002124e-01
+2.747081e+06 3.640228e-07 3.092455e-01 7.293730e-01 6.841162e-01 -4.710167e-01 -8.821243e-01 2.583563e-01 -1.980080e-01
+2.807216e+06 3.562248e-07 3.836663e-01 7.259955e-01 6.876995e-01 -4.684084e-01 -8.835120e-01 2.575871e-01 -1.958126e-01
+2.868668e+06 3.485939e-07 4.591496e-01 7.226004e-01 6.912660e-01 -4.657961e-01 -8.848921e-01 2.568043e-01 -1.936261e-01
+2.931465e+06 3.411264e-07 5.355773e-01 7.191878e-01 6.948158e-01 -4.631797e-01 -8.862644e-01 2.560081e-01 -1.914486e-01
+2.995636e+06 3.338189e-07 6.128160e-01 7.157577e-01 6.983487e-01 -4.605592e-01 -8.876290e-01 2.551985e-01 -1.892803e-01
+3.061212e+06 3.266680e-07 6.907155e-01 7.123103e-01 7.018647e-01 -4.579347e-01 -8.889858e-01 2.543756e-01 -1.871211e-01
+3.128224e+06 3.196702e-07 7.691080e-01 7.088456e-01 7.053637e-01 -4.553062e-01 -8.903349e-01 2.535393e-01 -1.849712e-01
+3.196702e+06 3.128224e-07 8.478072e-01 7.053637e-01 7.088456e-01 -4.526738e-01 -8.916762e-01 2.526899e-01 -1.828306e-01
+3.266680e+06 3.061212e-07 9.266068e-01 7.018647e-01 7.123103e-01 -4.500374e-01 -8.930097e-01 2.518273e-01 -1.806995e-01
+3.338189e+06 2.995636e-07 1.005280e+00 6.983487e-01 7.157577e-01 -4.473970e-01 -8.943354e-01 2.509517e-01 -1.785778e-01
+3.411264e+06 2.931465e-07 1.083578e+00 6.948158e-01 7.191878e-01 -4.447528e-01 -8.956534e-01 2.500630e-01 -1.764656e-01
+3.485939e+06 2.868668e-07 1.161230e+00 6.912660e-01 7.226004e-01 -4.421047e-01 -8.969635e-01 2.491613e-01 -1.743631e-01
+3.562248e+06 2.807216e-07 1.237939e+00 6.876995e-01 7.259955e-01 -4.394527e-01 -8.982657e-01 2.482468e-01 -1.722702e-01
+3.640228e+06 2.747081e-07 1.313387e+00 6.841162e-01 7.293730e-01 -4.367969e-01 -8.995602e-01 2.473194e-01 -1.701872e-01
+3.719914e+06 2.688234e-07 1.387229e+00 6.805164e-01 7.327328e-01 -4.341372e-01 -9.008467e-01 2.463792e-01 -1.681139e-01
+3.801345e+06 2.630648e-07 1.459094e+00 6.769001e-01 7.360749e-01 -4.314738e-01 -9.021255e-01 2.454263e-01 -1.660506e-01
+3.884559e+06 2.574295e-07 1.528586e+00 6.732674e-01 7.393991e-01 -4.288066e-01 -9.033963e-01 2.444608e-01 -1.639972e-01
+3.969594e+06 2.519149e-07 1.595281e+00 6.696184e-01 7.427053e-01 -4.261357e-01 -9.046593e-01 2.434827e-01 -1.619539e-01
+4.056491e+06 2.465185e-07 1.658732e+00 6.659531e-01 7.459936e-01 -4.234610e-01 -9.059143e-01 2.424920e-01 -1.599207e-01
+4.145289e+06 2.412377e-07 1.718463e+00 6.622717e-01 7.492638e-01 -4.207827e-01 -9.071615e-01 2.414890e-01 -1.578977e-01
+4.236032e+06 2.360700e-07 1.773976e+00 6.585742e-01 7.525158e-01 -4.181007e-01 -9.084007e-01 2.404735e-01 -1.558849e-01
+4.328761e+06 2.310130e-07 1.824747e+00 6.548607e-01 7.557496e-01 -4.154150e-01 -9.096320e-01 2.394457e-01 -1.538824e-01
+4.423520e+06 2.260643e-07 1.870230e+00 6.511314e-01 7.589650e-01 -4.127257e-01 -9.108554e-01 2.384057e-01 -1.518903e-01
+4.520354e+06 2.212216e-07 1.909861e+00 6.473863e-01 7.621621e-01 -4.100328e-01 -9.120708e-01 2.373535e-01 -1.499087e-01
+4.619307e+06 2.164827e-07 1.943057e+00 6.436255e-01 7.653406e-01 -4.073363e-01 -9.132782e-01 2.362891e-01 -1.479376e-01
+4.720426e+06 2.118453e-07 1.969222e+00 6.398490e-01 7.685006e-01 -4.046363e-01 -9.144777e-01 2.352127e-01 -1.459771e-01
+4.823759e+06 2.073072e-07 1.987750e+00 6.360571e-01 7.716420e-01 -4.019327e-01 -9.156692e-01 2.341244e-01 -1.440272e-01
+4.929354e+06 2.028664e-07 1.998030e+00 6.322498e-01 7.747646e-01 -3.992257e-01 -9.168527e-01 2.330241e-01 -1.420881e-01
+5.037260e+06 1.985206e-07 1.999452e+00 6.284271e-01 7.778685e-01 -3.965151e-01 -9.180282e-01 2.319119e-01 -1.401597e-01
+5.147528e+06 1.942680e-07 1.991414e+00 6.245891e-01 7.809535e-01 -3.938011e-01 -9.191957e-01 2.307880e-01 -1.382422e-01
+5.260211e+06 1.901065e-07 1.973329e+00 6.207361e-01 7.840196e-01 -3.910836e-01 -9.203551e-01 2.296524e-01 -1.363355e-01
+5.375360e+06 1.860341e-07 1.944634e+00 6.168679e-01 7.870667e-01 -3.883628e-01 -9.215066e-01 2.285052e-01 -1.344399e-01
+5.493029e+06 1.820489e-07 1.904802e+00 6.129849e-01 7.900946e-01 -3.856385e-01 -9.226500e-01 2.273464e-01 -1.325553e-01
+5.613275e+06 1.781491e-07 1.853347e+00 6.090869e-01 7.931035e-01 -3.829109e-01 -9.237853e-01 2.261760e-01 -1.306818e-01
+5.736153e+06 1.743329e-07 1.789846e+00 6.051742e-01 7.960931e-01 -3.801799e-01 -9.249126e-01 2.249943e-01 -1.288195e-01
+5.861720e+06 1.705984e-07 1.713940e+00 6.012468e-01 7.990634e-01 -3.774456e-01 -9.260317e-01 2.238012e-01 -1.269684e-01
+5.990036e+06 1.669439e-07 1.625362e+00 5.973049e-01 8.020143e-01 -3.747080e-01 -9.271429e-01 2.225968e-01 -1.251286e-01
+6.121162e+06 1.633677e-07 1.523940e+00 5.933484e-01 8.049457e-01 -3.719672e-01 -9.282459e-01 2.213812e-01 -1.233001e-01
+6.255157e+06 1.598681e-07 1.409623e+00 5.893776e-01 8.078577e-01 -3.692231e-01 -9.293408e-01 2.201545e-01 -1.214831e-01
+6.392086e+06 1.564434e-07 1.282495e+00 5.853925e-01 8.107501e-01 -3.664758e-01 -9.304276e-01 2.189167e-01 -1.196775e-01
+6.532013e+06 1.530922e-07 1.142789e+00 5.813932e-01 8.136228e-01 -3.637253e-01 -9.315063e-01 2.176679e-01 -1.178835e-01
+6.675002e+06 1.498127e-07 9.909150e-01 5.773797e-01 8.164757e-01 -3.609716e-01 -9.325768e-01 2.164082e-01 -1.161011e-01
+6.821122e+06 1.466035e-07 8.274681e-01 5.733523e-01 8.193089e-01 -3.582147e-01 -9.336392e-01 2.151376e-01 -1.143303e-01
+6.970440e+06 1.434630e-07 6.532536e-01 5.693110e-01 8.221222e-01 -3.554547e-01 -9.346935e-01 2.138563e-01 -1.125713e-01
+7.123027e+06 1.403898e-07 4.693015e-01 5.652559e-01 8.249156e-01 -3.526917e-01 -9.357396e-01 2.125642e-01 -1.108240e-01
+7.278954e+06 1.373824e-07 2.768826e-01 5.611871e-01 8.276890e-01 -3.499255e-01 -9.367775e-01 2.112616e-01 -1.090885e-01
+7.438294e+06 1.344394e-07 7.752231e-02 5.571046e-01 8.304423e-01 -3.471563e-01 -9.378073e-01 2.099483e-01 -1.073650e-01
+7.601123e+06 1.315595e-07 1.269890e-01 5.530087e-01 8.331755e-01 -3.443841e-01 -9.388289e-01 2.086246e-01 -1.056534e-01
+7.767516e+06 1.287413e-07 3.345893e-01 5.488993e-01 8.358885e-01 -3.416088e-01 -9.398422e-01 2.072905e-01 -1.039538e-01
+7.937551e+06 1.259834e-07 5.429424e-01 5.447767e-01 8.385812e-01 -3.388306e-01 -9.408474e-01 2.059461e-01 -1.022662e-01
+8.111308e+06 1.232847e-07 7.494429e-01 5.406408e-01 8.412535e-01 -3.360494e-01 -9.418444e-01 2.045914e-01 -1.005908e-01
+8.288869e+06 1.206437e-07 9.512269e-01 5.364918e-01 8.439055e-01 -3.332653e-01 -9.428331e-01 2.032266e-01 -9.892759e-02
+8.470317e+06 1.180593e-07 1.145191e+00 5.323299e-01 8.465370e-01 -3.304782e-01 -9.438136e-01 2.018516e-01 -9.727659e-02
+8.655737e+06 1.155303e-07 1.328023e+00 5.281550e-01 8.491480e-01 -3.276883e-01 -9.447859e-01 2.004666e-01 -9.563787e-02
+8.845216e+06 1.130555e-07 1.496240e+00 5.239673e-01 8.517384e-01 -3.248956e-01 -9.457499e-01 1.990717e-01 -9.401150e-02
+9.038843e+06 1.106336e-07 1.646240e+00 5.197669e-01 8.543081e-01 -3.221000e-01 -9.467057e-01 1.976669e-01 -9.239752e-02
+9.236709e+06 1.082637e-07 1.774368e+00 5.155539e-01 8.568572e-01 -3.193015e-01 -9.476532e-01 1.962523e-01 -9.079600e-02
+9.438905e+06 1.059445e-07 1.876993e+00 5.113284e-01 8.593854e-01 -3.165003e-01 -9.485924e-01 1.948280e-01 -8.920697e-02
+9.645528e+06 1.036750e-07 1.950600e+00 5.070904e-01 8.618928e-01 -3.136964e-01 -9.495234e-01 1.933941e-01 -8.763051e-02
+9.856674e+06 1.014541e-07 1.991896e+00 5.028402e-01 8.643794e-01 -3.108896e-01 -9.504460e-01 1.919506e-01 -8.606665e-02
+1.007244e+07 9.928079e-08 1.997929e+00 4.985779e-01 8.668449e-01 -3.080802e-01 -9.513604e-01 1.904976e-01 -8.451546e-02
+1.029293e+07 9.715403e-08 1.966219e+00 4.943034e-01 8.692895e-01 -3.052681e-01 -9.522664e-01 1.890353e-01 -8.297698e-02
+1.051825e+07 9.507283e-08 1.894900e+00 4.900169e-01 8.717129e-01 -3.024533e-01 -9.531642e-01 1.875636e-01 -8.145127e-02
+1.074850e+07 9.303622e-08 1.782867e+00 4.857186e-01 8.741153e-01 -2.996359e-01 -9.540536e-01 1.860826e-01 -7.993837e-02
+1.098379e+07 9.104323e-08 1.629921e+00 4.814084e-01 8.764964e-01 -2.968159e-01 -9.549347e-01 1.845925e-01 -7.843834e-02
+1.122423e+07 8.909293e-08 1.436922e+00 4.770866e-01 8.788563e-01 -2.939933e-01 -9.558075e-01 1.830934e-01 -7.695122e-02
+1.146994e+07 8.718442e-08 1.205920e+00 4.727533e-01 8.811948e-01 -2.911681e-01 -9.566719e-01 1.815852e-01 -7.547708e-02
+1.172102e+07 8.531679e-08 9.402735e-01 4.684084e-01 8.835120e-01 -2.883403e-01 -9.575280e-01 1.800681e-01 -7.401594e-02
+1.197760e+07 8.348916e-08 6.447396e-01 4.640523e-01 8.858078e-01 -2.855101e-01 -9.583757e-01 1.785422e-01 -7.256788e-02
+1.223980e+07 8.170069e-08 3.255232e-01 4.596848e-01 8.880821e-01 -2.826774e-01 -9.592151e-01 1.770075e-01 -7.113292e-02
+1.250774e+07 7.995052e-08 9.720486e-03 4.553062e-01 8.903349e-01 -2.798421e-01 -9.600460e-01 1.754641e-01 -6.971113e-02
+1.278154e+07 7.823785e-08 3.519472e-01 4.509166e-01 8.925661e-01 -2.770045e-01 -9.608686e-01 1.739121e-01 -6.830254e-02
+1.306133e+07 7.656187e-08 6.908566e-01 4.465161e-01 8.947756e-01 -2.741644e-01 -9.616828e-01 1.723516e-01 -6.690721e-02
+1.334725e+07 7.492179e-08 1.015109e+00 4.421047e-01 8.969635e-01 -2.713220e-01 -9.624886e-01 1.707827e-01 -6.552518e-02
+1.363943e+07 7.331684e-08 1.312632e+00 4.376826e-01 8.991296e-01 -2.684771e-01 -9.632861e-01 1.692054e-01 -6.415649e-02
+1.393801e+07 7.174628e-08 1.571027e+00 4.332498e-01 9.012739e-01 -2.656300e-01 -9.640751e-01 1.676199e-01 -6.280120e-02
+1.424312e+07 7.020936e-08 1.778069e+00 4.288066e-01 9.033963e-01 -2.627805e-01 -9.648556e-01 1.660262e-01 -6.145935e-02
+1.455491e+07 6.870536e-08 1.922298e+00 4.243530e-01 9.054968e-01 -2.599287e-01 -9.656278e-01 1.644243e-01 -6.013098e-02
+1.487352e+07 6.723358e-08 1.993688e+00 4.198891e-01 9.075754e-01 -2.570746e-01 -9.663916e-01 1.628145e-01 -5.881613e-02
+1.519911e+07 6.579332e-08 1.984369e+00 4.154150e-01 9.096320e-01 -2.542183e-01 -9.671469e-01 1.611967e-01 -5.751486e-02
+1.553183e+07 6.438392e-08 1.889374e+00 4.109309e-01 9.116665e-01 -2.513598e-01 -9.678937e-01 1.595710e-01 -5.622720e-02
+1.587183e+07 6.300471e-08 1.707359e+00 4.064367e-01 9.136789e-01 -2.484991e-01 -9.686321e-01 1.579376e-01 -5.495320e-02
+1.621927e+07 6.165505e-08 1.441253e+00 4.019327e-01 9.156692e-01 -2.456362e-01 -9.693621e-01 1.562965e-01 -5.369289e-02
+1.657432e+07 6.033430e-08 1.098759e+00 3.974190e-01 9.176372e-01 -2.427712e-01 -9.700836e-01 1.546478e-01 -5.244633e-02
+1.693714e+07 5.904184e-08 6.926563e-01 3.928957e-01 9.195831e-01 -2.399041e-01 -9.707966e-01 1.529916e-01 -5.121354e-02
+1.730791e+07 5.777707e-08 2.408075e-01 3.883628e-01 9.215066e-01 -2.370348e-01 -9.715012e-01 1.513280e-01 -4.999459e-02
+1.768679e+07 5.653939e-08 2.341828e-01 3.838205e-01 9.234077e-01 -2.341635e-01 -9.721972e-01 1.496570e-01 -4.878949e-02
+1.807396e+07 5.532822e-08 7.057258e-01 3.792689e-01 9.252865e-01 -2.312902e-01 -9.728848e-01 1.479787e-01 -4.759830e-02
+1.846961e+07 5.414300e-08 1.144460e+00 3.747080e-01 9.271429e-01 -2.284148e-01 -9.735639e-01 1.462933e-01 -4.642105e-02
+1.887392e+07 5.298317e-08 1.519929e+00 3.701382e-01 9.289767e-01 -2.255374e-01 -9.742345e-01 1.446007e-01 -4.525778e-02
+1.928708e+07 5.184818e-08 1.802681e+00 3.655593e-01 9.307881e-01 -2.226581e-01 -9.748966e-01 1.429012e-01 -4.410854e-02
+1.970928e+07 5.073751e-08 1.966727e+00 3.609716e-01 9.325768e-01 -2.197768e-01 -9.755502e-01 1.411947e-01 -4.297335e-02
+2.014073e+07 4.965063e-08 1.992186e+00 3.563751e-01 9.343430e-01 -2.168936e-01 -9.761952e-01 1.394814e-01 -4.185226e-02
+2.058162e+07 4.858703e-08 1.867930e+00 3.517699e-01 9.360865e-01 -2.140085e-01 -9.768318e-01 1.377614e-01 -4.074531e-02
+2.103217e+07 4.754622e-08 1.593946e+00 3.471563e-01 9.378073e-01 -2.111216e-01 -9.774598e-01 1.360347e-01 -3.965252e-02
+2.149257e+07 4.652770e-08 1.183109e+00 3.425342e-01 9.395054e-01 -2.082328e-01 -9.780793e-01 1.343014e-01 -3.857394e-02
+2.196306e+07 4.553100e-08 6.620153e-01 3.379038e-01 9.411806e-01 -2.053422e-01 -9.786902e-01 1.325617e-01 -3.750961e-02
+2.244384e+07 4.455565e-08 7.055714e-02 3.332653e-01 9.428331e-01 -2.024498e-01 -9.792927e-01 1.308155e-01 -3.645955e-02
+2.293515e+07 4.360120e-08 5.400370e-01 3.286186e-01 9.444627e-01 -1.995556e-01 -9.798865e-01 1.290630e-01 -3.542380e-02
+2.343721e+07 4.266719e-08 1.110840e+00 3.239640e-01 9.460694e-01 -1.966597e-01 -9.804718e-01 1.273043e-01 -3.440241e-02
+2.395027e+07 4.175319e-08 1.580515e+00 3.193015e-01 9.476532e-01 -1.937620e-01 -9.810486e-01 1.255395e-01 -3.339539e-02
+2.447455e+07 4.085877e-08 1.891988e+00 3.146313e-01 9.492140e-01 -1.908627e-01 -9.816167e-01 1.237686e-01 -3.240279e-02
+2.501031e+07 3.998351e-08 1.999958e+00 3.099535e-01 9.507517e-01 -1.879617e-01 -9.821764e-01 1.219918e-01 -3.142463e-02
+2.555780e+07 3.912699e-08 1.878418e+00 3.052681e-01 9.522664e-01 -1.850591e-01 -9.827274e-01 1.202090e-01 -3.046095e-02
+2.611728e+07 3.828883e-08 1.527097e+00 3.005753e-01 9.537581e-01 -1.821548e-01 -9.832699e-01 1.184205e-01 -2.951179e-02
+2.668900e+07 3.746862e-08 9.755983e-01 2.958753e-01 9.552266e-01 -1.792490e-01 -9.838037e-01 1.166263e-01 -2.857717e-02
+2.727324e+07 3.666598e-08 2.839964e-01 2.911681e-01 9.566719e-01 -1.763416e-01 -9.843290e-01 1.148265e-01 -2.765712e-02
+2.787026e+07 3.588054e-08 4.611004e-01 2.864538e-01 9.580941e-01 -1.734326e-01 -9.848457e-01 1.130211e-01 -2.675167e-02
+2.848036e+07 3.511192e-08 1.155513e+00 2.817326e-01 9.594930e-01 -1.705222e-01 -9.853538e-01 1.112104e-01 -2.586086e-02
+2.910381e+07 3.435976e-08 1.691216e+00 2.770045e-01 9.608686e-01 -1.676102e-01 -9.858533e-01 1.093942e-01 -2.498472e-02
+2.974091e+07 3.362372e-08 1.973557e+00 2.722697e-01 9.622210e-01 -1.646968e-01 -9.863442e-01 1.075729e-01 -2.412326e-02
+3.039195e+07 3.290345e-08 1.939656e+00 2.675283e-01 9.635500e-01 -1.617820e-01 -9.868265e-01 1.057463e-01 -2.327653e-02
+3.105725e+07 3.219860e-08 1.574709e+00 2.627805e-01 9.648556e-01 -1.588657e-01 -9.873002e-01 1.039147e-01 -2.244455e-02
+3.173711e+07 3.150885e-08 9.223819e-01 2.580262e-01 9.661379e-01 -1.559481e-01 -9.877653e-01 1.020781e-01 -2.162734e-02
+3.243185e+07 3.083388e-08 8.560763e-02 2.532657e-01 9.673967e-01 -1.530291e-01 -9.882217e-01 1.002366e-01 -2.082494e-02
+3.314181e+07 3.017337e-08 7.848357e-01 2.484991e-01 9.686321e-01 -1.501088e-01 -9.886695e-01 9.839036e-02 -2.003737e-02
+3.386730e+07 2.952701e-08 1.514509e+00 2.437264e-01 9.698440e-01 -1.471871e-01 -9.891087e-01 9.653935e-02 -1.926465e-02
+3.460867e+07 2.889449e-08 1.939848e+00 2.389479e-01 9.710324e-01 -1.442642e-01 -9.895392e-01 9.468371e-02 -1.850682e-02
+3.536628e+07 2.827552e-08 1.947270e+00 2.341635e-01 9.721972e-01 -1.413400e-01 -9.899611e-01 9.282354e-02 -1.776389e-02
+3.614046e+07 2.766982e-08 1.508119e+00 2.293735e-01 9.733385e-01 -1.384145e-01 -9.903744e-01 9.095893e-02 -1.703589e-02
+3.693160e+07 2.707708e-08 6.991856e-01 2.245779e-01 9.744561e-01 -1.354879e-01 -9.907790e-01 8.908996e-02 -1.632285e-02
+3.774005e+07 2.649705e-08 3.005173e-01 2.197768e-01 9.755502e-01 -1.325601e-01 -9.911750e-01 8.721674e-02 -1.562479e-02
+3.856620e+07 2.592944e-08 1.241840e+00 2.149704e-01 9.766206e-01 -1.296311e-01 -9.915623e-01 8.533933e-02 -1.494174e-02
+3.941044e+07 2.537399e-08 1.864343e+00 2.101589e-01 9.776673e-01 -1.267010e-01 -9.919410e-01 8.345785e-02 -1.427370e-02
+4.027316e+07 2.483043e-08 1.970616e+00 2.053422e-01 9.786902e-01 -1.237698e-01 -9.923110e-01 8.157238e-02 -1.362071e-02
+4.115476e+07 2.429853e-08 1.496261e+00 2.005205e-01 9.796895e-01 -1.208375e-01 -9.926723e-01 7.968301e-02 -1.298280e-02
+4.205566e+07 2.377801e-08 5.511487e-01 1.956940e-01 9.806650e-01 -1.179041e-01 -9.930250e-01 7.778983e-02 -1.235997e-02
+4.297628e+07 2.326865e-08 5.896202e-01 1.908627e-01 9.816167e-01 -1.149698e-01 -9.933690e-01 7.589294e-02 -1.175225e-02
+4.391706e+07 2.277020e-08 1.554601e+00 1.860268e-01 9.825447e-01 -1.120344e-01 -9.937043e-01 7.399242e-02 -1.115966e-02
+4.487843e+07 2.228242e-08 1.994168e+00 1.811864e-01 9.834488e-01 -1.090980e-01 -9.940310e-01 7.208838e-02 -1.058222e-02
+4.586084e+07 2.180510e-08 1.714510e+00 1.763416e-01 9.843290e-01 -1.061607e-01 -9.943490e-01 7.018088e-02 -1.001995e-02
+4.686476e+07 2.133799e-08 7.772397e-01 1.714925e-01 9.851854e-01 -1.032225e-01 -9.946583e-01 6.827004e-02 -9.472871e-03
+4.789066e+07 2.088090e-08 4.859978e-01 1.666393e-01 9.860179e-01 -1.002833e-01 -9.949589e-01 6.635595e-02 -8.940994e-03
+4.893901e+07 2.043360e-08 1.571807e+00 1.617820e-01 9.868265e-01 -9.734331e-02 -9.952509e-01 6.443869e-02 -8.424340e-03
+5.001031e+07 1.999588e-08 1.999958e+00 1.569208e-01 9.876112e-01 -9.440245e-02 -9.955341e-01 6.251835e-02 -7.922927e-03
+5.110507e+07 1.956753e-08 1.536961e+00 1.520558e-01 9.883719e-01 -9.146076e-02 -9.958087e-01 6.059503e-02 -7.436769e-03
+5.222378e+07 1.914836e-08 3.453631e-01 1.471871e-01 9.891087e-01 -8.851827e-02 -9.960746e-01 5.866883e-02 -6.965885e-03
+5.336699e+07 1.873817e-08 1.036404e+00 1.423148e-01 9.898214e-01 -8.557501e-02 -9.963317e-01 5.673983e-02 -6.510289e-03
+5.453523e+07 1.833677e-08 1.915325e+00 1.374391e-01 9.905102e-01 -8.263100e-02 -9.965802e-01 5.480813e-02 -6.069996e-03
+5.572903e+07 1.794397e-08 1.793820e+00 1.325601e-01 9.911750e-01 -7.968627e-02 -9.968200e-01 5.287381e-02 -5.645021e-03
+5.694897e+07 1.755958e-08 6.786905e-01 1.276778e-01 9.918157e-01 -7.674085e-02 -9.970511e-01 5.093698e-02 -5.235378e-03
+5.819562e+07 1.718342e-08 8.465725e-01 1.227925e-01 9.924324e-01 -7.379475e-02 -9.972735e-01 4.899772e-02 -4.841080e-03
+5.946955e+07 1.681533e-08 1.889942e+00 1.179041e-01 9.930250e-01 -7.084802e-02 -9.974871e-01 4.705612e-02 -4.462140e-03
+6.077137e+07 1.645512e-08 1.769658e+00 1.130129e-01 9.935935e-01 -6.790066e-02 -9.976921e-01 4.511229e-02 -4.098572e-03
+6.210169e+07 1.610262e-08 4.953174e-01 1.081190e-01 9.941380e-01 -6.495271e-02 -9.978883e-01 4.316631e-02 -3.750386e-03
+6.346114e+07 1.575768e-08 1.135712e+00 1.032225e-01 9.946583e-01 -6.200419e-02 -9.980759e-01 4.121827e-02 -3.417595e-03
+6.485034e+07 1.542012e-08 1.991164e+00 9.832341e-02 9.951545e-01 -5.905514e-02 -9.982547e-01 3.926827e-02 -3.100208e-03
+6.626995e+07 1.508980e-08 1.396380e+00 9.342197e-02 9.956266e-01 -5.610556e-02 -9.984248e-01 3.731641e-02 -2.798238e-03
+6.772063e+07 1.476655e-08 2.763673e-01 8.851827e-02 9.960746e-01 -5.315550e-02 -9.985862e-01 3.536277e-02 -2.511693e-03
+6.920307e+07 1.445022e-08 1.754472e+00 8.361242e-02 9.964984e-01 -5.020497e-02 -9.987389e-01 3.340744e-02 -2.240584e-03
+7.071797e+07 1.414068e-08 1.799925e+00 7.870454e-02 9.968980e-01 -4.725401e-02 -9.988829e-01 3.145053e-02 -1.984919e-03
+7.226603e+07 1.383776e-08 2.929632e-01 7.379475e-02 9.972735e-01 -4.430263e-02 -9.990182e-01 2.949212e-02 -1.744706e-03
+7.384797e+07 1.354133e-08 1.498533e+00 6.888318e-02 9.976247e-01 -4.135087e-02 -9.991447e-01 2.753231e-02 -1.519954e-03
+7.546454e+07 1.325126e-08 1.915409e+00 6.396993e-02 9.979518e-01 -3.839874e-02 -9.992625e-01 2.557119e-02 -1.310670e-03
+7.711650e+07 1.296739e-08 4.772649e-01 5.905514e-02 9.982547e-01 -3.544628e-02 -9.993716e-01 2.360885e-02 -1.116861e-03
+7.880463e+07 1.268961e-08 1.461912e+00 5.413891e-02 9.985334e-01 -3.249351e-02 -9.994719e-01 2.164539e-02 -9.385325e-04
+8.052971e+07 1.241778e-08 1.890247e+00 4.922137e-02 9.987879e-01 -2.954046e-02 -9.995636e-01 1.968091e-02 -7.756915e-04
+8.229255e+07 1.215177e-08 2.599562e-01 4.430263e-02 9.990182e-01 -2.658715e-02 -9.996465e-01 1.771548e-02 -6.283429e-04
+8.409398e+07 1.189146e-08 1.684588e+00 3.938282e-02 9.992242e-01 -2.363361e-02 -9.997207e-01 1.574922e-02 -4.964917e-04
+8.593484e+07 1.163672e-08 1.664793e+00 3.446206e-02 9.994060e-01 -2.067986e-02 -9.997861e-01 1.378220e-02 -3.801421e-04
+8.781600e+07 1.138745e-08 3.944975e-01 2.954046e-02 9.995636e-01 -1.772593e-02 -9.998429e-01 1.181453e-02 -2.792980e-04
+8.973835e+07 1.114351e-08 1.973033e+00 2.461814e-02 9.996969e-01 -1.477184e-02 -9.998909e-01 9.846303e-03 -1.939628e-04
+9.170277e+07 1.090480e-08 9.604577e-01 1.969523e-02 9.998060e-01 -1.181763e-02 -9.999302e-01 7.877604e-03 -1.241393e-04
+9.371019e+07 1.067120e-08 1.378404e+00 1.477184e-02 9.998909e-01 -8.863311e-03 -9.999607e-01 5.908530e-03 -6.982969e-05
+9.576156e+07 1.044260e-08 1.775370e+00 9.848094e-03 9.999515e-01 -5.908917e-03 -9.999825e-01 3.939176e-03 -3.103585e-05
+9.785784e+07 1.021891e-08 4.458920e-01 4.924107e-03 9.999879e-01 -2.954472e-03 -9.999956e-01 1.969635e-03 -7.759025e-06
+1.000000e+08 1.000000e-08 2.000000e+00 3.061617e-16 1.000000e+00 -1.836970e-16 -1.000000e+00 1.224647e-16 0.000000e+00
diff --git a/doc/thesis/figures/data/multipath_frequency_response.py b/doc/thesis/figures/data/multipath_frequency_response.py
index e5207ae..a550c02 100644
--- a/doc/thesis/figures/data/multipath_frequency_response.py
+++ b/doc/thesis/figures/data/multipath_frequency_response.py
@@ -1,7 +1,7 @@
import sys, os
import numpy as np
-nsamples = 300
+nsamples = 320
np.seterr(over='raise')
@@ -10,10 +10,10 @@ def tap(c, tau, f):
# attenuations for frequency plot
-f_whole = np.logspace(5, 9, num=nsamples)
+f_whole = np.logspace(5, 8, num=nsamples)
linear_whole = 1 / f_whole
multipath_whole = tap(c=.8, tau=500e-9, f=f_whole) + tap(c=.4, tau=300e-9, f=f_whole)
-channel_whole = linear_whole * multipath_whole
+channel_whole = multipath_whole
# coordinates for complex diagram
f_tap = np.linspace(2e6, 2.5e6, num=nsamples)
diff --git a/doc/thesis/figures/tikz/multipath-frequency-response-plots.tex b/doc/thesis/figures/tikz/multipath-frequency-response-plots.tex
index 094e33a..65cd2ca 100644
--- a/doc/thesis/figures/tikz/multipath-frequency-response-plots.tex
+++ b/doc/thesis/figures/tikz/multipath-frequency-response-plots.tex
@@ -12,11 +12,11 @@
\addplot[solid, magenta] table[x index = 0, y index = 2]
{figures/data/multipath_frequency_response.dat};
- \addlegendentry{Multipath}
+ % \addlegendentry{Multipath}
- \addplot[dashed, thick, black] table[x index = 0, y index = 1]
- {figures/data/multipath_frequency_response.dat};
- \addlegendentry{Linear}
+ % \addplot[dashed, thick, black] table[x index = 0, y index = 1]
+ % {figures/data/multipath_frequency_response.dat};
+ % \addlegendentry{Linear}
\end{loglogaxis}
\end{tikzpicture}
@@ -56,7 +56,7 @@
\addplot[decorated, magenta] table[x index = 7, y index = 8]
{figures/data/multipath_frequency_response.dat}
node[pos = 0, circle, fill = white, draw, inner sep = 1pt] {}
- node[pos = 0, below, font = \tiny] {2 MHz}
+ node[pos = 0, below right, font = \tiny] {2 MHz}
node[pos = .2, outer sep = 1pt, inner sep = 0pt] (C) {}
node[pos = 1, circle, fill = white, draw, inner sep = 1pt] {}
node[pos = 1, above left, font = \tiny] {2.5 MHz};
diff --git a/doc/thesis/misc/VeraMoBI.ttf b/doc/thesis/misc/VeraMoBI.ttf
new file mode 100644
index 0000000..8624542
--- /dev/null
+++ b/doc/thesis/misc/VeraMoBI.ttf
Binary files differ
diff --git a/doc/thesis/misc/VeraMoBd.ttf b/doc/thesis/misc/VeraMoBd.ttf
new file mode 100644
index 0000000..9be6547
--- /dev/null
+++ b/doc/thesis/misc/VeraMoBd.ttf
Binary files differ
diff --git a/doc/thesis/misc/VeraMoIt.ttf b/doc/thesis/misc/VeraMoIt.ttf
new file mode 100644
index 0000000..2404924
--- /dev/null
+++ b/doc/thesis/misc/VeraMoIt.ttf
Binary files differ
diff --git a/doc/thesis/misc/VeraMono.ttf b/doc/thesis/misc/VeraMono.ttf
new file mode 100644
index 0000000..139f0b4
--- /dev/null
+++ b/doc/thesis/misc/VeraMono.ttf
Binary files differ
diff --git a/doc/thesis/tex/docstyle.sty b/doc/thesis/tex/docstyle.sty
index 2adec0f..b9a0b8d 100644
--- a/doc/thesis/tex/docstyle.sty
+++ b/doc/thesis/tex/docstyle.sty
@@ -43,6 +43,12 @@
%% Font configuration
% use roboto for sans serif
\RequirePackage{roboto}
+% Bera for monospaced font
+\setmonofont[Path=misc/,
+ BoldFont = VeraMoBd,
+ ItalicFont = VeraMoIt,
+ BoldItalicFont = VeraMoBI,
+]{VeraMono}
%% Floating captions configuration
% set captions font
@@ -89,4 +95,35 @@
\usepackage[labelformat=simple]{subcaption}
\renewcommand\thesubfigure{(\alph{subfigure})}
+%% Set up listings
+\RequirePackage{listings}
+
+%% create a lstlisting style
+\lstdefinestyle{minimalist}{
+ belowcaptionskip = \baselineskip,
+ breaklines = true,
+ inputencoding = utf8,
+ % frame
+ frame = leftline,
+ framerule = 3pt,
+ rulecolor = \color{cyan!20!white},
+ % margin
+ xleftmargin = 5mm,
+ framexleftmargin = 5mm,
+ % background
+ backgroundcolor = \color{white},
+ % default language:
+ language = TeX,
+ showstringspaces = false,
+ % font
+ basicstyle = \ttfamily\small,
+ identifierstyle = \color{black},
+ keywordstyle = \bfseries \color{blue!70!black},
+ commentstyle = \color{gray},
+ stringstyle = \color{orange!60!black},
+}
+
+% and set style
+\lstset{style=minimalist, escapechar=`}
+
% vim: set ts=2 sw=2 noet: