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Home All issues Volume 519 (September 2010) A&A, 519 (2010) A19 Online Material
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Issue
A&A
Volume 519, September 2010
Article Number A19
Number of page(s) 7
Section Cosmology (including clusters of galaxies)
DOI https://doi.org/10.1051/0004-6361/201014829
Published online 07 September 2010

Online Material

Appendix A: Fitting matrices

The matrices $B^{(\alpha)}$ and $C^{(\alpha)}$ (22), $a = 0, \ldots, M$ contain the coefficients of the reduced-power spectrum fits given in Eq. (21). Here, we provide the numerical values from our fits. The index $\alpha=0$ corresponds to the function Q(12) in the fiducial cosmology, and $\alpha=1, \ldots, 7$ to its derivatives with respect to cosmological parameters (see Table 1). The matrices are also available in electronic form with an example code[*].

$\displaystyle B^{(0)} = \left( \begin{array}{llll} 1.2157 &-1.7061 &3.613 &-2.5... ...4 &6.9843 &-3.7669 \\ 41.719 &34.891 &-40.957 &6.3019 \\ \end{array}\right) ;$      


$\displaystyle B^{(1)} = \left( \begin{array}{llll} 1.2963 &-2.2435 &4.7574 &-3.... ...9 &28.968 &-16.938 \\ 62.035 &-22.702 &-10.113 &15.12 \\ \end{array}\right) ;$      


$\displaystyle B^{(2)} = \left( \begin{array}{llll} 1.2314 &-1.826 &3.9322 &-2.9... ...2 &-6.464 &2.8446 \\ 62.447 &-73.471 &122.62 &-71.766 \\ \end{array}\right) ;$      


$\displaystyle B^{(3)} = \left( \begin{array}{llll} 1.1772 &-1.523 &3.3478 &-2.6... ...3 &25.431 &-12.429 \\ -1.2271 &192.08 &-259.8 &113.95 \\ \end{array}\right) ;$      


$\displaystyle B^{(4)} = \left( \begin{array}{llll} 1.1983 &-1.5973 &3.3941 &-2.... ... &-14.092 &6.4373 \\ 75.097 &-124.48 &200.67 &-109.85 \\ \end{array}\right) ;$      


$\displaystyle B^{(5)} = \left( \begin{array}{llll} 1.3643 &-2.6937 &5.6748 &-4.... ... &5.6229 &-3.2007 \\ 44.397 &11.923 &-3.5699 &-10.617 \\ \end{array}\right) ;$      


$\displaystyle B^{(6)} = \left( \begin{array}{llll} 1.2149 &-1.7012 &3.6033 &-2.... ...0.53439 &-0.56922 \\ 53.073 &-11.638 &28.888 &-27.294 \\ \end{array}\right) ;$      


$\displaystyle B^{(7)} = \left( \begin{array}{llll} 1.3469 &-3.3556 &6.6862 &-4.... ...04 &9.2899 &-4.7514 \\ 37.736 &49.648 &-61.197 &16.44 \\ \end{array}\right) .$      

$\displaystyle C^{(0)} = \left(\! \begin{array}{llll} 0.56428 &2.3001 &-3.9649 &... ...}\!\!\! &-0.00027429\! &0.00072501\! &-0.00046762 \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(1)} = \left( \begin{array}{llll} -0.43501 &-3.1459 &5.6111 &-... ...9071 \\ -0.0001238 &0.00098714 &-0.0022652 &0.0014607 \\ \end{array}\right) ;$      


$\displaystyle C^{(2)} = \left(\! \begin{array}{llll} -0.49063 &-2.7133 &4.5927 ... ... &-0.00026039 &0.00016485 &1.1648\!\cdot\!10^{-5} \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(3)}=\left(\! \begin{array}{llll} 0.25229 &4.0227 &-6.6135 &3.... ...5 \\ -0.00018401 &0.0008918 &-0.0012 &0.00049882 \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(4)}=\left(\! \begin{array}{llll} 0.12913 &4.7128 &-8.0056 &4.... ...10^{-5} &-0.00015916\! &0.00055278\! &-0.00044773 \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(5)} =\left(\! \begin{array}{llll} -0.31944 &-3.8608 &6.7541 &... ...0.00020532 \! &0.00010945 &8.9968\!\cdot\!10^{-5} \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(6)} =\left(\! \begin{array}{llll} 0.58241 &2.2178 &-3.8312 &2... ...dot\!10^{-5} &-0.00036705 &0.00092519 &-0.0005942 \\ \end{array}\! \right)\! ;$      


$\displaystyle C^{(7)}=\left(\! \begin{array}{llll} -0.45031 &-3.1685 &5.4862 &-... ...} &-0.00025807 &0.0001707 &6.9607\!\cdot\!10^{-5} \\ \end{array}\! \right)\! .$      

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