Table 5
Parameters of the composite luminosity functions for cluster selection as stated in the first column.
| n |  |
 |
 |
ϕ* | α |  |
Q |  |
 |
Qαfixed | |
|---|---|---|---|---|---|---|---|---|---|---|---|
| z < 0.67 | 121 | 0.30 | 11.9 | 1.00 |  |
 |
 |
0.99 | |||
| z < 0.67 and λ > 6 | 95 | 0.32 | 13.5 | 1.14 |  |
 |
 |
0.99 | |||
| z < 0.67 and λ > 10 | 71 | 0.37 | 17.1 | 1.27 |  |
 |
 |
0.97 | |||
| λ > 6 and 0.00 < z < 0.25 | 26 | 0.14 | 9.9 | 0.75 |  |
 |
 |
0.99 |  |
 |
0.99 |
| λ > 6 and 0.25 < z < 0.35 | 28 | 0.30 | 13.5 | 1.15 |  |
 |
 |
0.95 |  |
 |
0.97 |
| λ > 6 and 0.35 < z < 0.47 | 24 | 0.43 | 18.1 | 1.37 |  |
 |
 |
0.97 |  |
 |
0.98 |
| λ > 6 and 0.47 < z < 0.67 | 17 | 0.55 | 15.5 | 1.14 |  |
 |
 |
0.98 |  |
 |
0.99 |
| λ > 6 and 0.67 < z | 12 | 0.88 | 24.6 | 2.55 |  |
 |
 |
0.36 |  |
 |
0.60 |
| z < 0.67 and λ < 6 | 26 | 0.27 | 4.4 | 0.64 |  |
 |
 |
0.92 |  |
 |
0.63 |
| z < 0.67 and 6 < λ < 10 | 24 | 0.21 | 7.6 | 0.71 |  |
 |
 |
0.98 |  |
 |
0.78 |
| z < 0.67 and 10 < λ < 15 | 28 | 0.31 | 12.3 | 1.01 |  |
 |
 |
0.86 |  |
 |
0.89 |
| z < 0.67 and 15 < λ < 20 | 21 | 0.33 | 17.7 | 1.21 |  |
 |
 |
0.96 |  |
 |
0.98 |
| z < 0.67 and 20 < λ | 22 | 0.43 | 25.4 | 2.09 |  |
 |
 |
0.99 |  |
 |
0.99 |
Notes. The first block of columns indicates the bin information: number of objects, median redshift, richness, and mass M500,scal (in units of 1014 M⊙, see Sect. 2.2 for definition). The second block indicates the results of the fit of the composite luminosity function: amplitude ϕ* (in units of Ngal ⋅ mag−1 ⋅Mpc−2), faint end slope α, characteristic magnitude in the r′ band 
, and goodness of fit parameter Q. The third block indicates the results of the fit of the composite luminosity function when α is fixed to − 1. The values are the median of the marginalised distribution and the errors correspond to 68% c.i. around the median (see Sect. 4). The goodness of fit parameters4 are computed using the minimum χ2 value in the grid (see Sect. 4).
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