Table 1: Photon proper number density.

z=0		 z=0.2 z=0.4 z=0.6 z=0.8 z=1.0
$\log\epsilon$a $\log(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon})$b $\log\epsilon$ $\log\left(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}\right)$ $\log\epsilon$ $\log\left(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}\right)$ $\log\epsilon$ $\log\left(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}\right)$ $\log\epsilon$ $\log\left(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}\right)$ $\log\epsilon$ $\log\left(\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}\right)$

-2.835		 -0.9367 -2.756 -0.7423 -2.689 -0.5311 -2.631 -0.3672 -2.58 -0.2245 -2.534 -0.1062
-2.604 -0.3533 -2.525 -0.1642 -2.458 0.04493 -2.4 0.2084 -2.349 0.3406 -2.303 0.4451
-2.45 -0.1126 -2.37 0.07846 -2.303 0.2842 -2.245 0.4412 -2.194 0.5546 -2.148 0.6357
-2.303 -0.03035 -2.224 0.1723 -2.157 0.3701 -2.099 0.5147 -2.048 0.6046 -2.002 0.6636
-2.136 -0.0691 -2.057 0.1303 -1.99 0.3197 -1.932 0.449 -1.881 0.5111 -1.835 0.5391
-2.052 -0.1755 -1.972 0.01995 -1.906 0.1956 -1.847 0.3064 -1.796 0.3428 -1.751 0.3508
-1.947 -0.3735 -1.868 -0.1889 -1.801 -0.0317 -1.743 0.05994 -1.692 0.08171 -1.646 0.07664
-1.86 -0.5733 -1.78 -0.4037 -1.714 -0.2571 -1.656 -0.1738 -1.604 -0.1568 -1.559 -0.1605
-1.78 -0.7724 -1.701 -0.6107 -1.634 -0.4717 -1.576 -0.3885 -1.525 -0.3697 -1.48 -0.3711
-1.751 -0.8526 -1.671 -0.6934 -1.604 -0.5541 -1.546 -0.4703 -1.495 -0.4503 -1.45 -0.4509
-1.684 -0.9834 -1.604 -0.8292 -1.537 -0.6897 -1.48 -0.6048 -1.428 -0.583 -1.383 -0.583
-1.508 -1.418 -1.428 -1.265 -1.361 -1.115 -1.303 -1.011 -1.252 -0.9646 -1.206 -0.942
-1.383 -1.634 -1.303 -1.469 -1.236 -1.306 -1.178 -1.198 -1.127 -1.146 -1.082 -1.116
-1.303 -1.793 -1.224 -1.593 -1.157 -1.430 -1.099 -1.317 -1.048 -1.258 -1.002 -1.241
-1.206 -1.883 -1.127 -1.688 -1.06 -1.517 -1.002 -1.410 -0.9512 -1.348 -0.9055 -1.295
-1.082 -2.045 -1.002 -1.858 -0.9355 -1.690 -0.8775 -1.567 -0.8262 -1.541 -0.7804 -1.576
-0.9846 -2.269 -0.9055 -2.063 -0.8386 -1.915 -0.7804 -1.834 -0.7293 -1.872 -0.6836 -1.935
-0.8598 -2.429 -0.7804 -2.226 -0.7135 -2.077 -0.6556 -1.991 -0.6045 -2.004 -0.5586 -2.038
-0.8085 -2.453 -0.7293 -2.251 -0.6623 -2.103 -0.6045 -2.013 -0.5533 -2.010 -0.5075 -2.026
-0.7314 -2.423 -0.6523 -2.224 -0.5854 -2.075 -0.5274 -1.980 -0.4763 -1.948 -0.4305 -1.939
-0.6688 -2.437 -0.5897 -2.234 -0.5227 -2.083 -0.4647 -1.984 -0.4136 -1.943 -0.3678 -1.929
-0.5597 -2.408 -0.4795 -2.204 -0.4136 -2.056 -0.3556 -1.953 -0.3044 -1.893 -0.2587 -1.866
-0.4713 -2.362 -0.3921 -2.169 -0.3251 -2.022 -0.2672 -1.924 -0.2160 -1.880 -0.1702 -1.872
-0.3792 -2.336 -0.3000 -2.143 -0.2331 -2.012 -0.1751 -1.937 -0.1240 -1.914 -0.07825 -1.927
-0.1359 -2.390 -0.0567 -2.250 0.0100 -2.262 0.06819 -2.121 0.1193 -2.115 0.1652 -2.138
-0.01936 -2.492 0.05195 -2.355 0.1268 -2.295 0.1847 -2.262 0.2358 -2.263 0.2817 -2.283
0.09447 -2.638 0.1738 -2.535 0.2405 -2.468 0.2986 -2.441 0.3499 -2.451 0.3955 -2.503
0.1915 -2.823 0.2707 -2.718 0.3377 -2.672 0.3955 -2.675 0.4467 -2.724 0.4925 -2.799
0.3541 -3.141 0.4334 -3.105 0.5004 -3.093 0.5583 -3.050 0.6095 -3.011 0.6552 -2.963
0.4925 -3.54 0.5717 -3.440 0.6386 -3.352 0.6966 -3.236 0.7477 -3.148 0.7935 -3.079
0.7935 -4.166 0.8727 -4.038 0.9396 -3.971 0.9976 -3.939 1.049 -3.921 1.094 -3.879

a Photon energies $\epsilon $ are in eV; b photon densities $\epsilon\frac{{\rm d}n_\gamma}{{\rm d}\epsilon}$ are in [cm-3].

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