Table 3: Photon-photon optical depth as a function of energy and redshifta.

Energy		 $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$ $\tau(z,E_\gamma)$

[TeV]		 z=0.01 z=0.03 z=0.1 z=0.3 z=0.5 z=1.0 z=1.5 z=2.0 z=3.0
0.0200 0.0000 0.0000 0.0000 0.000000 0.0000021 0.004933 0.0399 0.1157 0.2596
0.0240 0.0000 0.0000 0.0000 0.000000 0.000188 0.01284 0.0718 0.1783 0.3635
0.0289 0.0000 0.0000 0.0000 0.000000 0.001304 0.0279 0.1188 0.2598 0.4919
0.0347 0.0000 0.0000 0.0000 0.000488 0.004558 0.0533 0.1833 0.3635 0.6517
0.0417 0.0000 0.0000 5.254E-05 0.002276 0.01157 0.0921 0.2689 0.4967 0.8548
0.0502 0.0000 9.445E-05 5.408E-04 0.006575 0.02436 0.1480 0.3836 0.6745 1.118
0.0603 1.0976E-04 4.241E-04 1.915E-03 0.014592 0.04512 0.2275 0.5434 0.9179 1.465
0.0726 3.0882E-04 1.103E-03 4.548E-03 0.02771 0.07684 0.3430 0.7707 1.251 1.917
0.0873 6.5619E-04 2.258E-03 8.903E-03 0.04808 0.1248 0.5137 1.092 1.703 2.503
0.104 1.2130E-03 4.097E-03 1.582E-02 0.07958 0.1984 0.7640 1.537 2.302 3.249
0.126 2.1063E-03 7.039E-03 2.685E-02 0.1284 0.3109 1.120 2.133 3.073 4.181
0.151 3.5291E-03 1.167E-02 4.406E-02 0.2031 0.4780 1.607 2.905 4.042 5.318
0.182 5.7051E-03 1.872E-02 7.010E-02 0.3134 0.7163 2.247 3.875 5.225 6.673
0.219 8.9183E-03 2.907E-02 0.1082 0.4696 1.040 3.056 5.055 6.627 8.241
0.263 1.3517E-02 4.378E-02 0.1618 0.6809 1.461 4.042 6.438 8.226 9.997
0.316 1.9793E-02 6.367E-02 0.2338 0.9517 1.981 5.192 7.989 9.977 11.89
0.381 2.7938E-02 8.935E-02 0.3256 1.281 2.594 6.474 9.650 11.81 13.89
0.458 3.7957E-02 0.1205 0.4356 1.661 3.284 7.836 11.34 13.67 15.93
0.550 4.9558E-02 0.1563 0.5607 2.082 4.023 9.214 13.01 15.51 18.08
0.662 6.2291E-02 0.1953 0.6961 2.524 4.779 10.55 14.63 17.39 20.45
0.796 7.5753E-02 0.2364 0.8373 2.967 5.517 11.82 16.25 19.49 23.27
0.957 8.9194E-02 0.2768 0.9750 3.389 6.210 13.03 18.04 22.02 26.81
1.15 0.1019 0.3152 1.105 3.779 6.846 14.29 20.21 25.22 31.33
1.38 0.1136 0.3501 1.223 4.129 7.432 15.73 22.98 29.37 37.23
1.66 0.1240 0.3810 1.327 4.444 8.010 17.54 26.58 34.78 45.09
2.000 0.1329 0.4076 1.419 4.747 8.652 19.87 31.31 41.95 55.80
2.40 0.1409 0.4318 1.504 5.079 9.452 22.96 37.67 51.72 70.71
2.89 0.1486 0.4560 1.596 5.498 10.52 27.08 46.30 65.17 92.14
3.47 0.1579 0.4863 1.714 6.075 11.96 32.66 58.24 84.48 124.0
4.17 0.1710 0.5284 1.879 6.875 13.92 40.39 75.45 113.2 172.1
5.02 0.1896 0.5887 2.113 7.952 16.57 51.39 101.3 157.7 245.9
6.03 0.2162 0.6732 2.431 9.421 20.24 67.70 141.4 227.3 357.0
7.26 0.2512 0.7847 2.858 11.45 25.57 92.73 204.9 335.3 519.3
8.73 0.3017 0.9447 3.464 14.41 33.52 132.2 304.3 496.4 747.0
10.5 0.3732 1.171 4.334 18.87 45.81 195.0 454.1 724.1 1048.
12.6 0.4795 1.513 5.663 25.76 65.21 292.5 666.6 1027. 1426.
15.2 0.6455 2.048 7.723 36.60 95.98 435.4 948.5 1407. 1873.
18.2 0.8984 2.871 10.93 53.79 143.7 630.5 1299. 1852. 2372.
21.9 1.297 4.162 15.99 80.41 214.3 878.2 1705. 2339. 2897.
26.4 1.917 6.177 23.86 119.9 311.5 1172. 2145. 2843. 3412.
31.7 2.856 9.181 35.47 174.8 435.3 1494. 2587. 3323. 3887.
38.1 4.211 13.47 51.78 245.0 580.9 1824. 3004. 3752. 4303.
45.8 6.038 19.14 72.76 327.4 739.9 2134. 3362. 4102. 4618.
55.1 8.285 26.00 97.51 416.9 899.0 2403. 3638. 4352. 4835.
66.2 10.82 33.59 124.3 506.3 1045. 2616. 3825. 4499. 4940.
79.6 13.48 41.42 151.2 587.7 1169. 2756. 3915. 4540. 4945.
95.7 16.04 48.81 175.8 655.4 1263. 2823. 3915. 4540. 4945.
115. 18.24 54.98 195.8 705.7 1320. 2823. 3915. 4540. 4945.
138. 20.01 59.82 210.8 735.5 1340. 2823. 3915. 4540. 4945.
166. 21.20 63.03 219.8 744.0 1340. 2823. 3915. 4540. 4945.

a The absorption multiplicative factor is e $^{-\tau(z,E_\gamma)}$.

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